%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU652^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:52:35 AM UTC 2026 % Result : Theorem 0.87s 1.14s % Output : Proof 0.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU652^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:44:43 EDT 2026 % 0.17/0.34 % CPUTime : % 0.41/0.56 %----Proving TH0 % 0.87/1.14 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.87/1.14 % SZS status Theorem % 0.87/1.14 % SZS output start Proof % 0.87/1.14 ( % 0.87/1.14 (declare-sort $$unsorted 0) % 0.87/1.14 (declare-const tptp.emptyset $$unsorted) % 0.87/1.14 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.14 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.87/1.14 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.87/1.14 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.87/1.14 (declare-const tptp.setukpairinjR12 Bool) % 0.87/1.14 (declare-const tptp.setukpairinjL Bool) % 0.87/1.14 (declare-const tptp.cartprodfstin Bool) % 0.87/1.14 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 0.87/1.14 (declare-const tptp.kfstsingleton Bool) % 0.87/1.14 (declare-const tptp.setukpairinjL1 Bool) % 0.87/1.14 (declare-const tptp.ex1I2 Bool) % 0.87/1.14 (declare-const tptp.ex1I Bool) % 0.87/1.14 (declare-const tptp.ex1E1 Bool) % 0.87/1.14 (declare-const tptp.singletonprop Bool) % 0.87/1.14 (declare-const tptp.setunionE2 Bool) % 0.87/1.14 (declare-const tptp.cartprodmempair Bool) % 0.87/1.14 (declare-const tptp.cartprodmempair1 Bool) % 0.87/1.14 (declare-const tptp.cartprodpairin Bool) % 0.87/1.14 (declare-const tptp.ubforcartprodlem3 Bool) % 0.87/1.14 (declare-const tptp.ubforcartprodlem2 Bool) % 0.87/1.14 (declare-const tptp.upairinpowunion Bool) % 0.87/1.14 (declare-const tptp.setukpairinjL2 Bool) % 0.87/1.14 (declare-const tptp.upairsubunion Bool) % 0.87/1.14 (declare-const tptp.upairset2E Bool) % 0.87/1.14 (declare-const tptp.singletoninpowunion Bool) % 0.87/1.14 (declare-const tptp.singletoninpowerset Bool) % 0.87/1.14 (declare-const tptp.kpairp Bool) % 0.87/1.14 (declare-const tptp.secondinupair Bool) % 0.87/1.14 (declare-const tptp.symdiffIneg2 Bool) % 0.87/1.14 (declare-const tptp.symdiffI2 Bool) % 0.87/1.14 (declare-const tptp.symdiffI1 Bool) % 0.87/1.14 (declare-const tptp.setunionsingleton2 Bool) % 0.87/1.14 (declare-const tptp.setminusIRneg Bool) % 0.87/1.14 (declare-const tptp.setminusILneg Bool) % 0.87/1.14 (declare-const tptp.setminusERneg Bool) % 0.87/1.14 (declare-const tptp.setminusI Bool) % 0.87/1.14 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.14 (declare-const tptp.quantDeMorgan1 Bool) % 0.87/1.14 (declare-const tptp.sepSubset Bool) % 0.87/1.14 (declare-const tptp.emptyE1 Bool) % 0.87/1.14 (declare-const tptp.inPowerset Bool) % 0.87/1.14 (declare-const tptp.upairsetIR Bool) % 0.87/1.14 (declare-const tptp.setunion__Cong Bool) % 0.87/1.14 (declare-const tptp.powersetE1 Bool) % 0.87/1.14 (declare-const tptp.singletonsswitch Bool) % 0.87/1.14 (declare-const tptp.subset2powerset Bool) % 0.87/1.14 (declare-const tptp.notinsingleton Bool) % 0.87/1.14 (declare-const tptp.subPowSU Bool) % 0.87/1.14 (declare-const tptp.kfstpairEq Bool) % 0.87/1.14 (declare-const tptp.binintersectSubset5 Bool) % 0.87/1.14 (declare-const tptp.exuE1 Bool) % 0.87/1.14 (declare-const tptp.theprop Bool) % 0.87/1.14 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.14 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.14 (declare-const tptp.setunionI Bool) % 0.87/1.14 (declare-const tptp.notdexE Bool) % 0.87/1.14 (declare-const tptp.powersetE Bool) % 0.87/1.14 (declare-const tptp.omegaSAx Bool) % 0.87/1.14 (declare-const tptp.setadjoinE Bool) % 0.87/1.14 (declare-const tptp.emptyinunitempty Bool) % 0.87/1.14 (declare-const tptp.setminusEL Bool) % 0.87/1.14 (declare-const tptp.descr__Cong Bool) % 0.87/1.14 (declare-const tptp.nonemptyI1 Bool) % 0.87/1.14 (declare-const tptp.emptysetAx Bool) % 0.87/1.14 (declare-const tptp.nonemptyI Bool) % 0.87/1.14 (declare-const tptp.upairsetIL Bool) % 0.87/1.14 (declare-const tptp.powersetI1 Bool) % 0.87/1.14 (declare-const tptp.eqinunit Bool) % 0.87/1.14 (declare-const tptp.upairsetE Bool) % 0.87/1.14 (declare-const tptp.replAx Bool) % 0.87/1.14 (declare-const tptp.powersetI Bool) % 0.87/1.14 (declare-const tptp.setukpairIR Bool) % 0.87/1.14 (declare-const tptp.quantDeMorgan4 Bool) % 0.87/1.14 (declare-const tptp.setunionE Bool) % 0.87/1.14 (declare-const tptp.omegaIndAx Bool) % 0.87/1.14 (declare-const tptp.setunionAx Bool) % 0.87/1.14 (declare-const tptp.setoftrueEq Bool) % 0.87/1.14 (declare-const tptp.foundationAx Bool) % 0.87/1.14 (declare-const tptp.emptysetimpfalse Bool) % 0.87/1.14 (declare-const tptp.setunionsingleton1 Bool) % 0.87/1.14 (declare-const tptp.setminusELneg Bool) % 0.87/1.14 (declare-const tptp.powersetAx Bool) % 0.87/1.14 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.87/1.14 (declare-const tptp.emptyI Bool) % 0.87/1.14 (declare-const tptp.subsetemptysetimpeq Bool) % 0.87/1.14 (declare-const tptp.setminusER Bool) % 0.87/1.14 (declare-const tptp.setadjoinAx Bool) % 0.87/1.14 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.14 (declare-const tptp.omega $$unsorted) % 0.87/1.14 (declare-const tptp.emptyInPowerset Bool) % 0.87/1.14 (declare-const tptp.eqimpsubset1 Bool) % 0.87/1.14 (declare-const tptp.binunionE Bool) % 0.87/1.14 (declare-const tptp.dsetconstrER Bool) % 0.87/1.14 (declare-const tptp.notdallE Bool) % 0.87/1.14 (declare-const tptp.binunionRsub Bool) % 0.87/1.14 (declare-const tptp.exuE2 Bool) % 0.87/1.14 (declare-const tptp.setminusSubset2 Bool) % 0.87/1.14 (declare-const tptp.dsetconstr__Cong Bool) % 0.87/1.14 (declare-const tptp.setadjoinIR Bool) % 0.87/1.14 (declare-const tptp.notinemptyset Bool) % 0.87/1.14 (declare-const tptp.subsetRefl Bool) % 0.87/1.14 (declare-const tptp.uniqinunit Bool) % 0.87/1.14 (declare-const tptp.exuE3u Bool) % 0.87/1.14 (declare-const tptp.subsetTrans Bool) % 0.87/1.14 (declare-const tptp.wellorderingAx Bool) % 0.87/1.14 (declare-const tptp.setukpairIL Bool) % 0.87/1.14 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.87/1.14 (declare-const tptp.vacuousDall Bool) % 0.87/1.14 (declare-const tptp.sepInPowerset Bool) % 0.87/1.14 (declare-const tptp.nonemptyImpWitness Bool) % 0.87/1.14 (declare-const tptp.binintersectLsub Bool) % 0.87/1.14 (declare-const tptp.setadjoinOr Bool) % 0.87/1.14 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.87/1.14 (declare-const tptp.upairset2IR Bool) % 0.87/1.14 (declare-const tptp.dsetconstrI Bool) % 0.87/1.14 (declare-const tptp.setminusSubset1 Bool) % 0.87/1.14 (declare-const tptp.emptyinPowerset Bool) % 0.87/1.14 (declare-const tptp.kpairiskpair Bool) % 0.87/1.14 (declare-const tptp.prop2setI Bool) % 0.87/1.14 (declare-const tptp.dsetconstrEL Bool) % 0.87/1.14 (declare-const tptp.prop2set2propI Bool) % 0.87/1.14 (declare-const tptp.binunionLsub Bool) % 0.87/1.14 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.87/1.14 (declare-const tptp.exuI2 Bool) % 0.87/1.14 (declare-const tptp.prop2setE Bool) % 0.87/1.14 (declare-const tptp.exuEu Bool) % 0.87/1.14 (declare-const tptp.setadjoinIL Bool) % 0.87/1.14 (declare-const tptp.omega__Cong Bool) % 0.87/1.14 (declare-const tptp.emptysetE Bool) % 0.87/1.14 (declare-const tptp.symdiffIneg1 Bool) % 0.87/1.14 (declare-const tptp.notequalI1 Bool) % 0.87/1.14 (declare-const tptp.noeltsimpempty Bool) % 0.87/1.14 (declare-const tptp.singletonsuniq Bool) % 0.87/1.14 (declare-const tptp.quantDeMorgan2 Bool) % 0.87/1.14 (declare-const tptp.subsetI1 Bool) % 0.87/1.14 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.87/1.14 (declare-const tptp.subsetE Bool) % 0.87/1.14 (declare-const tptp.exuI3 Bool) % 0.87/1.14 (declare-const tptp.subsetE2 Bool) % 0.87/1.14 (declare-const tptp.inCongP Bool) % 0.87/1.14 (declare-const tptp.in__Cong Bool) % 0.87/1.14 (declare-const tptp.exu__Cong Bool) % 0.87/1.14 (declare-const tptp.exuE3e Bool) % 0.87/1.14 (declare-const tptp.binintersectSubset3 Bool) % 0.87/1.14 (declare-const tptp.setukpairinjR1 Bool) % 0.87/1.14 (declare-const tptp.setadjoin__Cong Bool) % 0.87/1.14 (declare-const tptp.emptyset__Cong Bool) % 0.87/1.14 (declare-const tptp.binintersectRsub Bool) % 0.87/1.14 (declare-const tptp.nonemptyE1 Bool) % 0.87/1.14 (declare-const tptp.setextAx Bool) % 0.87/1.14 (declare-const tptp.powerset__Cong Bool) % 0.87/1.14 (declare-const tptp.bs114d Bool) % 0.87/1.14 (declare-const tptp.setunionsingleton Bool) % 0.87/1.14 (declare-const tptp.setminusLsub Bool) % 0.87/1.14 (declare-const tptp.eqimpsubset2 Bool) % 0.87/1.14 (declare-const tptp.symdiffE Bool) % 0.87/1.14 (declare-const tptp.omega0Ax Bool) % 0.87/1.14 (declare-const tptp.subsetI2 Bool) % 0.87/1.14 (declare-const tptp.emptysetsubset Bool) % 0.87/1.14 (declare-const tptp.notsubsetI Bool) % 0.87/1.14 (declare-const tptp.notequalI2 Bool) % 0.87/1.14 (declare-const tptp.setadjoinSub Bool) % 0.87/1.14 (declare-const tptp.setadjoinSub2 Bool) % 0.87/1.14 (declare-const tptp.setukpairinjR11 Bool) % 0.87/1.14 (declare-const tptp.disjointsetsI1 Bool) % 0.87/1.14 (declare-const tptp.setextsub Bool) % 0.87/1.14 (declare-const tptp.setbeta Bool) % 0.87/1.14 (declare-const tptp.binintersectSubset4 Bool) % 0.87/1.14 (declare-const tptp.powersetsubset Bool) % 0.87/1.14 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.14 (declare-const tptp.binunionIL Bool) % 0.87/1.14 (declare-const tptp.binunionIR Bool) % 0.87/1.14 (declare-const tptp.descrp Bool) % 0.87/1.14 (declare-const tptp.quantDeMorgan3 Bool) % 0.87/1.14 (declare-const tptp.binunionEcases Bool) % 0.87/1.14 (declare-const tptp.singletonsubset Bool) % 0.87/1.14 (declare-const tptp.exuI1 Bool) % 0.87/1.14 (declare-const tptp.binintersectI Bool) % 0.87/1.14 (declare-const tptp.binintersectEL Bool) % 0.87/1.14 (declare-const tptp.binintersectSubset2 Bool) % 0.87/1.14 (declare-const tptp.ubforcartprodlem1 Bool) % 0.87/1.14 (declare-const tptp.setext Bool) % 0.87/1.14 (declare-const tptp.binintersectER Bool) % 0.87/1.14 (declare-const tptp.binintersectSubset1 Bool) % 0.87/1.14 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.87/1.14 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.87/1.14 (define tptp.iskpair () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.setadjoin _let_2))) (let ((_let_4 (@var "A" $$unsorted))) (let ((_let_5 (_ tptp.setunion _let_4))) (lambda (@list _let_4) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_5) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_5) (= _let_4 (_ (_ tptp.setadjoin (_ _let_3 tptp.emptyset)) (_ (_ tptp.setadjoin (_ _let_3 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))) tptp.emptyset)))))))))))))) % 0.87/1.14 (define tptp.kpair () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.setadjoin _let_2))) (lambda (@list _let_2 _let_1) (_ (_ tptp.setadjoin (_ _let_3 tptp.emptyset)) (_ (_ tptp.setadjoin (_ _let_3 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))) tptp.emptyset))))))) % 0.87/1.14 (define tptp.singleton () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_2) (= _let_2 (_ (_ tptp.setadjoin _let_1) tptp.emptyset)))))))) % 0.87/1.14 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$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))))))))) % 0.87/1.14 (define @t1 () (@var "B" $$unsorted)) % 0.87/1.14 (define @t2 () (@var "A" $$unsorted)) % 0.87/1.14 (define @t3 () (= @t2 @t1)) % 0.87/1.14 (define @t4 () (@var "Xx" $$unsorted)) % 0.87/1.14 (define @t5 () (_ tptp.in @t4)) % 0.87/1.14 (define @t6 () (_ @t5 @t1)) % 0.87/1.14 (define @t7 () (_ @t5 @t2)) % 0.87/1.14 (define @t8 () (= @t7 @t6)) % 0.87/1.14 (define @t9 () (@list @t4)) % 0.87/1.14 (define @t10 () (forall @t9 @t8)) % 0.87/1.14 (define @t11 () (=> @t10 @t3)) % 0.87/1.14 (define @t12 () (@list @t2 @t1)) % 0.87/1.14 (define @t13 () (forall @t12 @t11)) % 0.87/1.14 (define @t14 () (= tptp.setextAx @t13)) % 0.87/1.14 (define @t15 () (_ @t5 tptp.emptyset)) % 0.87/1.14 (define @t16 () (not @t15)) % 0.87/1.14 (define @t17 () (forall @t9 @t16)) % 0.87/1.14 (define @t18 () (= tptp.emptysetAx @t17)) % 0.87/1.14 (define @t19 () (@var "Xy" $$unsorted)) % 0.87/1.14 (define @t20 () (_ tptp.in @t19)) % 0.87/1.14 (define @t21 () (_ @t20 @t2)) % 0.87/1.14 (define @t22 () (= @t19 @t4)) % 0.87/1.14 (define @t23 () (or @t22 @t21)) % 0.87/1.14 (define @t24 () (_ tptp.setadjoin @t4)) % 0.87/1.14 (define @t25 () (_ @t24 @t2)) % 0.87/1.14 (define @t26 () (_ @t20 @t25)) % 0.87/1.14 (define @t27 () (= @t26 @t23)) % 0.87/1.14 (define @t28 () (@list @t4 @t2 @t19)) % 0.87/1.14 (define @t29 () (forall @t28 @t27)) % 0.87/1.14 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.87/1.14 (define @t31 () (=> @t6 @t7)) % 0.87/1.14 (define @t32 () (forall @t9 @t31)) % 0.87/1.14 (define @t33 () (_ tptp.powerset @t2)) % 0.87/1.14 (define @t34 () (_ tptp.in @t1)) % 0.87/1.14 (define @t35 () (_ @t34 @t33)) % 0.87/1.14 (define @t36 () (= @t35 @t32)) % 0.87/1.14 (define @t37 () (forall @t12 @t36)) % 0.87/1.14 (define @t38 () (= tptp.powersetAx @t37)) % 0.87/1.14 (define @t39 () (_ @t34 @t2)) % 0.87/1.14 (define @t40 () (and @t6 @t39)) % 0.87/1.14 (define @t41 () (@list @t1)) % 0.87/1.14 (define @t42 () (exists @t41 @t40)) % 0.87/1.14 (define @t43 () (_ tptp.setunion @t2)) % 0.87/1.14 (define @t44 () (_ @t5 @t43)) % 0.87/1.14 (define @t45 () (= @t44 @t42)) % 0.87/1.14 (define @t46 () (@list @t2 @t4)) % 0.87/1.14 (define @t47 () (forall @t46 @t45)) % 0.87/1.14 (define @t48 () (= tptp.setunionAx @t47)) % 0.87/1.14 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.87/1.14 (define @t50 () (_ @t49 tptp.omega)) % 0.87/1.14 (define @t51 () (_ @t24 @t4)) % 0.87/1.14 (define @t52 () (_ tptp.in @t51)) % 0.87/1.14 (define @t53 () (_ @t52 tptp.omega)) % 0.87/1.14 (define @t54 () (_ @t5 tptp.omega)) % 0.87/1.14 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.87/1.14 (define @t56 () (= tptp.omegaSAx @t55)) % 0.87/1.14 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.87/1.14 (define @t58 () (_ @t52 @t2)) % 0.87/1.14 (define @t59 () (and @t54 @t7)) % 0.87/1.14 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.87/1.14 (define @t61 () (_ @t49 @t2)) % 0.87/1.14 (define @t62 () (and @t61 @t60)) % 0.87/1.14 (define @t63 () (=> @t62 @t57)) % 0.87/1.14 (define @t64 () (@list @t2)) % 0.87/1.14 (define @t65 () (forall @t64 @t63)) % 0.87/1.14 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.87/1.14 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.87/1.14 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.87/1.14 (define @t69 () (and @t21 @t68)) % 0.87/1.14 (define @t70 () (@list @t19)) % 0.87/1.14 (define @t71 () (exists @t70 @t69)) % 0.87/1.14 (define @t72 () (= @t6 @t71)) % 0.87/1.14 (define @t73 () (forall @t9 @t72)) % 0.87/1.14 (define @t74 () (exists @t41 @t73)) % 0.87/1.14 (define @t75 () (_ @t67 @t4)) % 0.87/1.14 (define @t76 () (_ @t75 @t19)) % 0.87/1.14 (define @t77 () (lambda @t70 @t76)) % 0.87/1.14 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.87/1.14 (define @t79 () (forall @t9 @t78)) % 0.87/1.14 (define @t80 () (=> @t79 @t74)) % 0.87/1.14 (define @t81 () (@list @t67 @t2)) % 0.87/1.14 (define @t82 () (forall @t81 @t80)) % 0.87/1.14 (define @t83 () (= tptp.replAx @t82)) % 0.87/1.14 (define @t84 () (and @t6 @t7)) % 0.87/1.14 (define @t85 () (exists @t9 @t84)) % 0.87/1.14 (define @t86 () (not @t85)) % 0.87/1.14 (define @t87 () (and @t39 @t86)) % 0.87/1.14 (define @t88 () (exists @t41 @t87)) % 0.87/1.14 (define @t89 () (exists @t9 @t7)) % 0.87/1.14 (define @t90 () (=> @t89 @t88)) % 0.87/1.14 (define @t91 () (forall @t64 @t90)) % 0.87/1.14 (define @t92 () (= tptp.foundationAx @t91)) % 0.87/1.14 (define @t93 () (@var "E" $$unsorted)) % 0.87/1.14 (define @t94 () (_ @t5 @t93)) % 0.87/1.14 (define @t95 () (@var "D" $$unsorted)) % 0.87/1.14 (define @t96 () (_ @t20 @t95)) % 0.87/1.14 (define @t97 () (_ @t20 @t93)) % 0.87/1.14 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.87/1.14 (define @t99 () (or @t98 @t94)) % 0.87/1.14 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.87/1.14 (define @t101 () (=> @t100 @t99)) % 0.87/1.14 (define @t102 () (@list @t93)) % 0.87/1.14 (define @t103 () (forall @t102 @t101)) % 0.87/1.14 (define @t104 () (@var "C" $$unsorted)) % 0.87/1.14 (define @t105 () (_ @t20 @t104)) % 0.87/1.14 (define @t106 () (and @t96 @t105)) % 0.87/1.14 (define @t107 () (exists @t70 @t106)) % 0.87/1.14 (define @t108 () (not @t107)) % 0.87/1.14 (define @t109 () (_ @t5 @t104)) % 0.87/1.14 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.87/1.14 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.87/1.14 (define @t112 () (@list @t95 @t4)) % 0.87/1.14 (define @t113 () (exists @t112 @t111)) % 0.87/1.14 (define @t114 () (exists @t9 @t109)) % 0.87/1.14 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.87/1.14 (define @t116 () (and @t115 @t114)) % 0.87/1.14 (define @t117 () (=> @t116 @t113)) % 0.87/1.14 (define @t118 () (@list @t104)) % 0.87/1.14 (define @t119 () (forall @t118 @t117)) % 0.87/1.14 (define @t120 () (_ @t5 @t95)) % 0.87/1.14 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.87/1.14 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.87/1.14 (define @t123 () (or @t122 @t121)) % 0.87/1.14 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.87/1.14 (define @t125 () (and @t124 @t110)) % 0.87/1.14 (define @t126 () (=> @t125 @t123)) % 0.87/1.14 (define @t127 () (@list @t104 @t95)) % 0.87/1.14 (define @t128 () (forall @t127 @t126)) % 0.87/1.14 (define @t129 () (= @t4 @t19)) % 0.87/1.14 (define @t130 () (= @t109 @t105)) % 0.87/1.14 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.87/1.14 (define @t132 () (=> @t131 @t129)) % 0.87/1.14 (define @t133 () (and @t7 @t21)) % 0.87/1.14 (define @t134 () (=> @t133 @t132)) % 0.87/1.14 (define @t135 () (@list @t4 @t19)) % 0.87/1.14 (define @t136 () (forall @t135 @t134)) % 0.87/1.14 (define @t137 () (=> @t124 @t115)) % 0.87/1.14 (define @t138 () (forall @t118 @t137)) % 0.87/1.14 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.87/1.14 (define @t140 () (exists @t41 @t139)) % 0.87/1.14 (define @t141 () (forall @t64 @t140)) % 0.87/1.14 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.87/1.14 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.87/1.14 (define @t144 () (_ @t143 @t4)) % 0.87/1.14 (define @t145 () (lambda @t9 @t144)) % 0.87/1.14 (define @t146 () (_ tptp.descr @t145)) % 0.87/1.14 (define @t147 () (_ @t143 @t146)) % 0.87/1.14 (define @t148 () (_ tptp.exu @t145)) % 0.87/1.14 (define @t149 () (=> @t148 @t147)) % 0.87/1.14 (define @t150 () (@list @t143)) % 0.87/1.14 (define @t151 () (forall @t150 @t149)) % 0.87/1.14 (define @t152 () (= tptp.descrp @t151)) % 0.87/1.14 (define @t153 () (_ @t143 @t19)) % 0.87/1.14 (define @t154 () (lambda @t70 @t153)) % 0.87/1.14 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.87/1.14 (define @t156 () (_ @t155 @t154)) % 0.87/1.14 (define @t157 () (_ @t5 @t156)) % 0.87/1.14 (define @t158 () (=> @t144 @t157)) % 0.87/1.14 (define @t159 () (@list @t2 @t143 @t4)) % 0.87/1.14 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.87/1.14 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.87/1.14 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.87/1.14 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.87/1.14 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.87/1.14 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.87/1.14 (define @t166 () (=> @t153 @t129)) % 0.87/1.14 (define @t167 () (forall @t70 @t166)) % 0.87/1.14 (define @t168 () (and @t144 @t167)) % 0.87/1.14 (define @t169 () (exists @t9 @t168)) % 0.87/1.14 (define @t170 () (=> @t148 @t169)) % 0.87/1.14 (define @t171 () (forall @t150 @t170)) % 0.87/1.14 (define @t172 () (= tptp.exuE1 @t171)) % 0.87/1.14 (define @t173 () (@var "Xphi" Bool)) % 0.87/1.14 (define @t174 () (_ tptp.prop2set @t173)) % 0.87/1.14 (define @t175 () (_ @t5 @t174)) % 0.87/1.14 (define @t176 () (@list @t173 @t4)) % 0.87/1.14 (define @t177 () (forall @t176 (=> @t175 @t173))) % 0.87/1.14 (define @t178 () (= tptp.prop2setE @t177)) % 0.87/1.14 (define @t179 () (@list @t173)) % 0.87/1.14 (define @t180 () (forall @t179 @t173)) % 0.87/1.14 (define @t181 () (=> @t15 @t180)) % 0.87/1.14 (define @t182 () (forall @t9 @t181)) % 0.87/1.14 (define @t183 () (= tptp.emptysetE @t182)) % 0.87/1.14 (define @t184 () (forall @t9 (=> @t15 false))) % 0.87/1.14 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 0.87/1.14 (define @t186 () (exists @t9 @t144)) % 0.87/1.14 (define @t187 () (=> @t148 @t186)) % 0.87/1.14 (define @t188 () (forall @t150 @t187)) % 0.87/1.14 (define @t189 () (= tptp.exuE3e @t188)) % 0.87/1.14 (define @t190 () (=> @t32 @t3)) % 0.87/1.14 (define @t191 () (=> @t7 @t6)) % 0.87/1.14 (define @t192 () (forall @t9 @t191)) % 0.87/1.14 (define @t193 () (=> @t192 @t190)) % 0.87/1.14 (define @t194 () (forall @t12 @t193)) % 0.87/1.14 (define @t195 () (= tptp.setext @t194)) % 0.87/1.14 (define @t196 () (= @t2 tptp.emptyset)) % 0.87/1.14 (define @t197 () (not @t7)) % 0.87/1.14 (define @t198 () (forall @t9 @t197)) % 0.87/1.14 (define @t199 () (=> @t198 @t196)) % 0.87/1.14 (define @t200 () (forall @t64 @t199)) % 0.87/1.14 (define @t201 () (= tptp.emptyI @t200)) % 0.87/1.14 (define @t202 () (=> @t7 (= @t157 @t144))) % 0.87/1.14 (define @t203 () (forall @t159 @t202)) % 0.87/1.14 (define @t204 () (= tptp.setbeta @t203)) % 0.87/1.14 (define @t205 () (_ tptp.nonempty @t2)) % 0.87/1.14 (define @t206 () (=> @t205 @t89)) % 0.87/1.14 (define @t207 () (forall @t64 @t206)) % 0.87/1.14 (define @t208 () (= tptp.nonemptyE1 @t207)) % 0.87/1.14 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 0.87/1.14 (define @t210 () (=> @t7 @t209)) % 0.87/1.14 (define @t211 () (forall @t159 @t210)) % 0.87/1.14 (define @t212 () (= tptp.nonemptyI @t211)) % 0.87/1.14 (define @t213 () (=> @t89 @t205)) % 0.87/1.14 (define @t214 () (forall @t64 @t213)) % 0.87/1.14 (define @t215 () (= tptp.nonemptyI1 @t214)) % 0.87/1.14 (define @t216 () (_ @t24 @t19)) % 0.87/1.14 (define @t217 () (_ @t5 @t216)) % 0.87/1.14 (define @t218 () (forall @t135 @t217)) % 0.87/1.14 (define @t219 () (= tptp.setadjoinIL @t218)) % 0.87/1.14 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.87/1.14 (define @t221 () (_ @t49 @t220)) % 0.87/1.14 (define @t222 () (forall @t28 (=> @t21 @t26))) % 0.87/1.14 (define @t223 () (= tptp.setadjoinIR @t222)) % 0.87/1.14 (define @t224 () (=> @t21 @t173)) % 0.87/1.14 (define @t225 () (=> @t224 @t173)) % 0.87/1.14 (define @t226 () (=> @t22 @t173)) % 0.87/1.14 (define @t227 () (=> @t226 @t225)) % 0.87/1.14 (define @t228 () (forall @t179 @t227)) % 0.87/1.14 (define @t229 () (=> @t26 @t228)) % 0.87/1.14 (define @t230 () (forall @t28 @t229)) % 0.87/1.14 (define @t231 () (= tptp.setadjoinE @t230)) % 0.87/1.14 (define @t232 () (=> @t26 @t23)) % 0.87/1.14 (define @t233 () (forall @t28 @t232)) % 0.87/1.14 (define @t234 () (= tptp.setadjoinOr @t233)) % 0.87/1.14 (define @t235 () (lambda @t9 true)) % 0.87/1.14 (define @t236 () (= (_ @t155 @t235) @t2)) % 0.87/1.14 (define @t237 () (forall @t64 @t236)) % 0.87/1.14 (define @t238 () (= tptp.setoftrueEq @t237)) % 0.87/1.14 (define @t239 () (=> @t32 @t35)) % 0.87/1.14 (define @t240 () (forall @t12 @t239)) % 0.87/1.14 (define @t241 () (= tptp.powersetI @t240)) % 0.87/1.14 (define @t242 () (_ @t49 @t33)) % 0.87/1.14 (define @t243 () (forall @t64 @t242)) % 0.87/1.14 (define @t244 () (= tptp.emptyinPowerset @t243)) % 0.87/1.14 (define @t245 () (@list @t2 @t1 @t4)) % 0.87/1.14 (define @t246 () (forall @t245 (=> @t35 @t31))) % 0.87/1.14 (define @t247 () (= tptp.powersetE @t246)) % 0.87/1.14 (define @t248 () (=> @t39 @t44)) % 0.87/1.14 (define @t249 () (@list @t2 @t4 @t1)) % 0.87/1.14 (define @t250 () (forall @t249 (=> @t6 @t248))) % 0.87/1.14 (define @t251 () (= tptp.setunionI @t250)) % 0.87/1.14 (define @t252 () (=> @t39 @t173)) % 0.87/1.14 (define @t253 () (forall @t41 (=> @t6 @t252))) % 0.87/1.14 (define @t254 () (=> @t253 @t173)) % 0.87/1.14 (define @t255 () (forall @t179 @t254)) % 0.87/1.14 (define @t256 () (=> @t44 @t255)) % 0.87/1.14 (define @t257 () (forall @t46 @t256)) % 0.87/1.14 (define @t258 () (= tptp.setunionE @t257)) % 0.87/1.14 (define @t259 () (_ tptp.powerset @t43)) % 0.87/1.14 (define @t260 () (_ @t5 @t259)) % 0.87/1.14 (define @t261 () (forall @t46 (=> @t7 @t260))) % 0.87/1.14 (define @t262 () (= tptp.subPowSU @t261)) % 0.87/1.14 (define @t263 () (= @t153 @t22)) % 0.87/1.14 (define @t264 () (forall @t70 @t263)) % 0.87/1.14 (define @t265 () (exists @t9 @t264)) % 0.87/1.14 (define @t266 () (=> @t148 @t265)) % 0.87/1.14 (define @t267 () (forall @t150 @t266)) % 0.87/1.14 (define @t268 () (= tptp.exuE2 @t267)) % 0.87/1.14 (define @t269 () (and @t7 true)) % 0.87/1.14 (define @t270 () (exists @t9 @t269)) % 0.87/1.14 (define @t271 () (=> @t205 @t270)) % 0.87/1.14 (define @t272 () (forall @t64 @t271)) % 0.87/1.14 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 0.87/1.14 (define @t274 () (_ tptp.setadjoin @t19)) % 0.87/1.14 (define @t275 () (_ @t274 tptp.emptyset)) % 0.87/1.14 (define @t276 () (_ @t5 @t275)) % 0.87/1.14 (define @t277 () (forall @t135 (=> @t276 @t129))) % 0.87/1.14 (define @t278 () (= tptp.uniqinunit @t277)) % 0.87/1.14 (define @t279 () (_ @t24 tptp.emptyset)) % 0.87/1.14 (define @t280 () (_ @t20 @t279)) % 0.87/1.14 (define @t281 () (not @t280)) % 0.87/1.14 (define @t282 () (not @t129)) % 0.87/1.14 (define @t283 () (forall @t135 (=> @t282 @t281))) % 0.87/1.14 (define @t284 () (= tptp.notinsingleton @t283)) % 0.87/1.14 (define @t285 () (forall @t135 (=> @t129 @t276))) % 0.87/1.14 (define @t286 () (= tptp.eqinunit @t285)) % 0.87/1.14 (define @t287 () (forall @t135 (=> @t276 @t280))) % 0.87/1.14 (define @t288 () (= tptp.singletonsswitch @t287)) % 0.87/1.14 (define @t289 () (@var "Xz" $$unsorted)) % 0.87/1.14 (define @t290 () (or (= @t289 @t4) (= @t289 @t19))) % 0.87/1.14 (define @t291 () (_ @t24 @t275)) % 0.87/1.14 (define @t292 () (_ tptp.in @t289)) % 0.87/1.14 (define @t293 () (_ @t292 @t291)) % 0.87/1.14 (define @t294 () (=> @t293 @t290)) % 0.87/1.14 (define @t295 () (@list @t4 @t19 @t289)) % 0.87/1.14 (define @t296 () (forall @t295 @t294)) % 0.87/1.14 (define @t297 () (= tptp.upairsetE @t296)) % 0.87/1.14 (define @t298 () (_ @t5 @t291)) % 0.87/1.14 (define @t299 () (forall @t135 @t298)) % 0.87/1.14 (define @t300 () (= tptp.upairsetIL @t299)) % 0.87/1.14 (define @t301 () (_ @t20 @t291)) % 0.87/1.14 (define @t302 () (forall @t135 @t301)) % 0.87/1.14 (define @t303 () (= tptp.upairsetIR @t302)) % 0.87/1.14 (define @t304 () (_ @t155 @t145)) % 0.87/1.14 (define @t305 () (= @t304 tptp.emptyset)) % 0.87/1.14 (define @t306 () (and @t7 @t144)) % 0.87/1.14 (define @t307 () (exists @t9 @t306)) % 0.87/1.14 (define @t308 () (=> @t307 (=> @t305 false))) % 0.87/1.14 (define @t309 () (@list @t2 @t143)) % 0.87/1.14 (define @t310 () (forall @t309 @t308)) % 0.87/1.14 (define @t311 () (= tptp.emptyE1 @t310)) % 0.87/1.14 (define @t312 () (@list @t143 @t4)) % 0.87/1.14 (define @t313 () (forall @t312 (=> @t15 @t144))) % 0.87/1.14 (define @t314 () (= tptp.vacuousDall @t313)) % 0.87/1.14 (define @t315 () (not @t144)) % 0.87/1.14 (define @t316 () (and @t7 @t315)) % 0.87/1.14 (define @t317 () (exists @t9 @t316)) % 0.87/1.14 (define @t318 () (forall @t9 (=> @t7 @t144))) % 0.87/1.14 (define @t319 () (not @t318)) % 0.87/1.14 (define @t320 () (=> @t319 @t317)) % 0.87/1.14 (define @t321 () (forall @t309 @t320)) % 0.87/1.14 (define @t322 () (= tptp.quantDeMorgan1 @t321)) % 0.87/1.14 (define @t323 () (not @t307)) % 0.87/1.14 (define @t324 () (forall @t9 (=> @t7 @t315))) % 0.87/1.14 (define @t325 () (=> @t324 @t323)) % 0.87/1.14 (define @t326 () (forall @t309 @t325)) % 0.87/1.14 (define @t327 () (= tptp.quantDeMorgan2 @t326)) % 0.87/1.14 (define @t328 () (=> @t323 @t324)) % 0.87/1.14 (define @t329 () (forall @t309 @t328)) % 0.87/1.14 (define @t330 () (= tptp.quantDeMorgan3 @t329)) % 0.87/1.14 (define @t331 () (=> @t317 @t319)) % 0.87/1.14 (define @t332 () (forall @t309 @t331)) % 0.87/1.14 (define @t333 () (= tptp.quantDeMorgan4 @t332)) % 0.87/1.14 (define @t334 () (_ @t49 @t174)) % 0.87/1.14 (define @t335 () (forall @t179 (=> @t173 @t334))) % 0.87/1.14 (define @t336 () (= tptp.prop2setI @t335)) % 0.87/1.14 (define @t337 () (_ tptp.set2prop @t174)) % 0.87/1.14 (define @t338 () (forall @t179 (=> @t173 @t337))) % 0.87/1.14 (define @t339 () (= tptp.prop2set2propI @t338)) % 0.87/1.14 (define @t340 () (=> @t169 @t148)) % 0.87/1.14 (define @t341 () (forall @t150 @t340)) % 0.87/1.14 (define @t342 () (= tptp.exuI1 @t341)) % 0.87/1.14 (define @t343 () (=> @t144 @t166)) % 0.87/1.14 (define @t344 () (forall @t135 @t343)) % 0.87/1.14 (define @t345 () (=> @t344 @t148)) % 0.87/1.14 (define @t346 () (=> @t186 @t345)) % 0.87/1.14 (define @t347 () (forall @t150 @t346)) % 0.87/1.14 (define @t348 () (= tptp.exuI3 @t347)) % 0.87/1.14 (define @t349 () (=> @t265 @t148)) % 0.87/1.14 (define @t350 () (forall @t150 @t349)) % 0.87/1.14 (define @t351 () (= tptp.exuI2 @t350)) % 0.87/1.14 (define @t352 () (_ @t20 @t1)) % 0.87/1.14 (define @t353 () (=> @t7 @t352)) % 0.87/1.14 (define @t354 () (forall @t135 (=> @t129 @t353))) % 0.87/1.14 (define @t355 () (=> @t3 @t354)) % 0.87/1.14 (define @t356 () (forall @t12 @t355)) % 0.87/1.14 (define @t357 () (= tptp.inCongP @t356)) % 0.87/1.14 (define @t358 () (= @t7 @t352)) % 0.87/1.14 (define @t359 () (forall @t135 (=> @t129 @t358))) % 0.87/1.14 (define @t360 () (=> @t3 @t359)) % 0.87/1.14 (define @t361 () (forall @t12 @t360)) % 0.87/1.14 (define @t362 () (= tptp.in__Cong @t361)) % 0.87/1.14 (define @t363 () (=> @t148 @t344)) % 0.87/1.14 (define @t364 () (forall @t150 @t363)) % 0.87/1.14 (define @t365 () (= tptp.exuE3u @t364)) % 0.87/1.14 (define @t366 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.87/1.14 (define @t367 () (_ @t366 @t4)) % 0.87/1.14 (define @t368 () (lambda @t9 @t367)) % 0.87/1.14 (define @t369 () (_ tptp.exu @t368)) % 0.87/1.14 (define @t370 () (= @t148 @t369)) % 0.87/1.14 (define @t371 () (_ @t366 @t19)) % 0.87/1.14 (define @t372 () (= @t144 @t371)) % 0.87/1.14 (define @t373 () (=> @t129 @t372)) % 0.87/1.14 (define @t374 () (forall @t135 @t373)) % 0.87/1.14 (define @t375 () (=> @t374 @t370)) % 0.87/1.14 (define @t376 () (@list @t143 @t366)) % 0.87/1.14 (define @t377 () (forall @t376 @t375)) % 0.87/1.14 (define @t378 () (= tptp.exu__Cong @t377)) % 0.87/1.14 (define @t379 () (= tptp.emptyset tptp.emptyset)) % 0.87/1.14 (define @t380 () (= tptp.emptyset__Cong @t379)) % 0.87/1.14 (define @t381 () (@var "Xu" $$unsorted)) % 0.87/1.14 (define @t382 () (_ @t274 @t381)) % 0.87/1.14 (define @t383 () (_ @t24 @t289)) % 0.87/1.14 (define @t384 () (= @t383 @t382)) % 0.87/1.14 (define @t385 () (= @t289 @t381)) % 0.87/1.14 (define @t386 () (@list @t289 @t381)) % 0.87/1.14 (define @t387 () (forall @t386 (=> @t385 @t384))) % 0.87/1.14 (define @t388 () (=> @t129 @t387)) % 0.87/1.14 (define @t389 () (forall @t135 @t388)) % 0.87/1.14 (define @t390 () (= tptp.setadjoin__Cong @t389)) % 0.87/1.14 (define @t391 () (_ tptp.powerset @t1)) % 0.87/1.14 (define @t392 () (= @t33 @t391)) % 0.87/1.14 (define @t393 () (forall @t12 (=> @t3 @t392))) % 0.87/1.14 (define @t394 () (= tptp.powerset__Cong @t393)) % 0.87/1.14 (define @t395 () (_ tptp.setunion @t1)) % 0.87/1.14 (define @t396 () (= @t43 @t395)) % 0.87/1.14 (define @t397 () (forall @t12 (=> @t3 @t396))) % 0.87/1.14 (define @t398 () (= tptp.setunion__Cong @t397)) % 0.87/1.14 (define @t399 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.87/1.14 (define @t400 () (= tptp.exuEu @t364)) % 0.87/1.14 (define @t401 () (_ tptp.descr @t368)) % 0.87/1.14 (define @t402 () (= @t146 @t401)) % 0.87/1.14 (define @t403 () (=> @t369 @t402)) % 0.87/1.14 (define @t404 () (=> @t148 @t403)) % 0.87/1.14 (define @t405 () (=> @t374 @t404)) % 0.87/1.14 (define @t406 () (forall @t376 @t405)) % 0.87/1.14 (define @t407 () (= tptp.descr__Cong @t406)) % 0.87/1.14 (define @t408 () (_ tptp.dsetconstr @t1)) % 0.87/1.14 (define @t409 () (_ @t408 @t368)) % 0.87/1.14 (define @t410 () (= @t304 @t409)) % 0.87/1.14 (define @t411 () (forall @t70 (=> @t352 @t373))) % 0.87/1.14 (define @t412 () (=> @t7 @t411)) % 0.87/1.14 (define @t413 () (forall @t9 @t412)) % 0.87/1.14 (define @t414 () (=> @t413 @t410)) % 0.87/1.14 (define @t415 () (forall @t376 @t414)) % 0.87/1.14 (define @t416 () (=> @t3 @t415)) % 0.87/1.14 (define @t417 () (forall @t12 @t416)) % 0.87/1.14 (define @t418 () (= tptp.dsetconstr__Cong @t417)) % 0.87/1.14 (define @t419 () (_ tptp.subset @t2)) % 0.87/1.14 (define @t420 () (_ @t419 @t1)) % 0.87/1.14 (define @t421 () (=> @t192 @t420)) % 0.87/1.14 (define @t422 () (forall @t12 @t421)) % 0.87/1.14 (define @t423 () (= tptp.subsetI1 @t422)) % 0.87/1.14 (define @t424 () (_ tptp.subset @t1)) % 0.87/1.14 (define @t425 () (_ @t424 @t2)) % 0.87/1.14 (define @t426 () (forall @t12 (=> @t3 @t425))) % 0.87/1.14 (define @t427 () (= tptp.eqimpsubset2 @t426)) % 0.87/1.14 (define @t428 () (forall @t12 (=> @t3 @t420))) % 0.87/1.14 (define @t429 () (= tptp.eqimpsubset1 @t428)) % 0.87/1.14 (define @t430 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 0.87/1.14 (define @t431 () (forall @t64 @t430)) % 0.87/1.14 (define @t432 () (= tptp.emptysetsubset @t431)) % 0.87/1.14 (define @t433 () (forall @t245 (=> @t420 @t191))) % 0.87/1.14 (define @t434 () (= tptp.subsetE @t433)) % 0.87/1.14 (define @t435 () (not @t6)) % 0.87/1.14 (define @t436 () (=> @t435 @t197)) % 0.87/1.14 (define @t437 () (forall @t245 (=> @t420 @t436))) % 0.87/1.14 (define @t438 () (= tptp.subsetE2 @t437)) % 0.87/1.14 (define @t439 () (not @t420)) % 0.87/1.14 (define @t440 () (=> @t435 @t439)) % 0.87/1.14 (define @t441 () (forall @t245 (=> @t7 @t440))) % 0.87/1.14 (define @t442 () (= tptp.notsubsetI @t441)) % 0.87/1.14 (define @t443 () (not @t3)) % 0.87/1.14 (define @t444 () (forall @t12 (=> @t439 @t443))) % 0.87/1.14 (define @t445 () (= tptp.notequalI1 @t444)) % 0.87/1.14 (define @t446 () (=> @t435 @t443)) % 0.87/1.14 (define @t447 () (forall @t245 (=> @t7 @t446))) % 0.87/1.14 (define @t448 () (= tptp.notequalI2 @t447)) % 0.87/1.14 (define @t449 () (_ @t419 @t2)) % 0.87/1.14 (define @t450 () (forall @t64 @t449)) % 0.87/1.14 (define @t451 () (= tptp.subsetRefl @t450)) % 0.87/1.14 (define @t452 () (_ @t419 @t104)) % 0.87/1.14 (define @t453 () (_ @t424 @t104)) % 0.87/1.14 (define @t454 () (=> @t453 @t452)) % 0.87/1.14 (define @t455 () (@list @t2 @t1 @t104)) % 0.87/1.14 (define @t456 () (forall @t455 (=> @t420 @t454))) % 0.87/1.14 (define @t457 () (= tptp.subsetTrans @t456)) % 0.87/1.14 (define @t458 () (_ @t419 @t25)) % 0.87/1.14 (define @t459 () (@list @t4 @t2)) % 0.87/1.14 (define @t460 () (forall @t459 @t458)) % 0.87/1.14 (define @t461 () (= tptp.setadjoinSub @t460)) % 0.87/1.14 (define @t462 () (_ @t24 @t1)) % 0.87/1.14 (define @t463 () (_ @t419 @t462)) % 0.87/1.14 (define @t464 () (forall @t249 (=> @t420 @t463))) % 0.87/1.14 (define @t465 () (= tptp.setadjoinSub2 @t464)) % 0.87/1.14 (define @t466 () (_ tptp.in @t2)) % 0.87/1.14 (define @t467 () (_ @t466 @t391)) % 0.87/1.14 (define @t468 () (forall @t12 (=> @t420 @t467))) % 0.87/1.14 (define @t469 () (= tptp.subset2powerset @t468)) % 0.87/1.14 (define @t470 () (=> @t425 @t3)) % 0.87/1.14 (define @t471 () (forall @t12 (=> @t420 @t470))) % 0.87/1.14 (define @t472 () (= tptp.setextsub @t471)) % 0.87/1.14 (define @t473 () (_ @t419 tptp.emptyset)) % 0.87/1.14 (define @t474 () (forall @t64 (=> @t473 @t196))) % 0.87/1.14 (define @t475 () (= tptp.subsetemptysetimpeq @t474)) % 0.87/1.14 (define @t476 () (forall @t12 (=> @t425 @t35))) % 0.87/1.14 (define @t477 () (= tptp.powersetI1 @t476)) % 0.87/1.14 (define @t478 () (forall @t12 (=> @t35 @t425))) % 0.87/1.14 (define @t479 () (= tptp.powersetE1 @t478)) % 0.87/1.14 (define @t480 () (_ @t466 @t33)) % 0.87/1.14 (define @t481 () (forall @t64 @t480)) % 0.87/1.14 (define @t482 () (= tptp.inPowerset @t481)) % 0.87/1.14 (define @t483 () (_ (_ tptp.subset @t33) @t391)) % 0.87/1.14 (define @t484 () (forall @t12 (=> @t420 @t483))) % 0.87/1.14 (define @t485 () (= tptp.powersetsubset @t484)) % 0.87/1.14 (define @t486 () (_ (_ tptp.in @t304) @t33)) % 0.87/1.14 (define @t487 () (forall @t309 @t486)) % 0.87/1.14 (define @t488 () (= tptp.sepInPowerset @t487)) % 0.87/1.14 (define @t489 () (_ (_ tptp.subset @t304) @t2)) % 0.87/1.14 (define @t490 () (forall @t309 @t489)) % 0.87/1.14 (define @t491 () (= tptp.sepSubset @t490)) % 0.87/1.14 (define @t492 () (_ (_ tptp.binunion @t2) @t1)) % 0.87/1.14 (define @t493 () (_ @t5 @t492)) % 0.87/1.14 (define @t494 () (forall @t245 (=> @t7 @t493))) % 0.87/1.14 (define @t495 () (= tptp.binunionIL @t494)) % 0.87/1.14 (define @t496 () (forall @t245 (=> @t6 @t493))) % 0.87/1.14 (define @t497 () (= tptp.binunionIR @t496)) % 0.87/1.14 (define @t498 () (=> @t6 @t173)) % 0.87/1.14 (define @t499 () (=> @t498 @t173)) % 0.87/1.14 (define @t500 () (=> @t7 @t173)) % 0.87/1.14 (define @t501 () (=> @t500 @t499)) % 0.87/1.14 (define @t502 () (@list @t2 @t1 @t4 @t173)) % 0.87/1.14 (define @t503 () (forall @t502 (=> @t493 @t501))) % 0.87/1.14 (define @t504 () (= tptp.binunionEcases @t503)) % 0.87/1.14 (define @t505 () (or @t7 @t6)) % 0.87/1.14 (define @t506 () (forall @t245 (=> @t493 @t505))) % 0.87/1.14 (define @t507 () (= tptp.binunionE @t506)) % 0.87/1.14 (define @t508 () (_ @t419 @t492)) % 0.87/1.14 (define @t509 () (forall @t12 @t508)) % 0.87/1.14 (define @t510 () (= tptp.binunionLsub @t509)) % 0.87/1.14 (define @t511 () (_ @t424 @t492)) % 0.87/1.14 (define @t512 () (forall @t12 @t511)) % 0.87/1.14 (define @t513 () (= tptp.binunionRsub @t512)) % 0.87/1.14 (define @t514 () (_ tptp.binintersect @t2)) % 0.87/1.14 (define @t515 () (_ @t514 @t1)) % 0.87/1.14 (define @t516 () (_ @t5 @t515)) % 0.87/1.14 (define @t517 () (=> @t6 @t516)) % 0.87/1.14 (define @t518 () (forall @t245 (=> @t7 @t517))) % 0.87/1.14 (define @t519 () (= tptp.binintersectI @t518)) % 0.87/1.14 (define @t520 () (_ tptp.subset @t104)) % 0.87/1.14 (define @t521 () (_ @t520 @t515)) % 0.87/1.14 (define @t522 () (_ @t520 @t1)) % 0.87/1.14 (define @t523 () (=> @t522 @t521)) % 0.87/1.14 (define @t524 () (_ @t520 @t2)) % 0.87/1.14 (define @t525 () (forall @t455 (=> @t524 @t523))) % 0.87/1.14 (define @t526 () (= tptp.binintersectSubset5 @t525)) % 0.87/1.14 (define @t527 () (forall @t245 (=> @t516 @t7))) % 0.87/1.14 (define @t528 () (= tptp.binintersectEL @t527)) % 0.87/1.14 (define @t529 () (_ tptp.subset @t515)) % 0.87/1.14 (define @t530 () (_ @t529 @t2)) % 0.87/1.14 (define @t531 () (forall @t12 @t530)) % 0.87/1.14 (define @t532 () (= tptp.binintersectLsub @t531)) % 0.87/1.14 (define @t533 () (= @t515 @t2)) % 0.87/1.14 (define @t534 () (=> @t420 @t533)) % 0.87/1.14 (define @t535 () (forall @t12 @t534)) % 0.87/1.14 (define @t536 () (= tptp.binintersectSubset2 @t535)) % 0.87/1.14 (define @t537 () (= @t515 @t1)) % 0.87/1.14 (define @t538 () (=> @t537 @t425)) % 0.87/1.14 (define @t539 () (forall @t12 @t538)) % 0.87/1.14 (define @t540 () (= tptp.binintersectSubset3 @t539)) % 0.87/1.14 (define @t541 () (forall @t245 (=> @t516 @t6))) % 0.87/1.14 (define @t542 () (= tptp.binintersectER @t541)) % 0.87/1.14 (define @t543 () (and @t7 @t6)) % 0.87/1.14 (define @t544 () (exists @t9 @t543)) % 0.87/1.14 (define @t545 () (not @t544)) % 0.87/1.14 (define @t546 () (=> @t545 (= @t515 tptp.emptyset))) % 0.87/1.14 (define @t547 () (forall @t12 @t546)) % 0.87/1.14 (define @t548 () (= tptp.disjointsetsI1 @t547)) % 0.87/1.14 (define @t549 () (_ @t529 @t1)) % 0.87/1.14 (define @t550 () (forall @t12 @t549)) % 0.87/1.14 (define @t551 () (= tptp.binintersectRsub @t550)) % 0.87/1.14 (define @t552 () (=> @t425 @t537)) % 0.87/1.14 (define @t553 () (forall @t12 @t552)) % 0.87/1.14 (define @t554 () (= tptp.binintersectSubset4 @t553)) % 0.87/1.14 (define @t555 () (=> @t533 @t420)) % 0.87/1.14 (define @t556 () (forall @t12 @t555)) % 0.87/1.14 (define @t557 () (= tptp.binintersectSubset1 @t556)) % 0.87/1.14 (define @t558 () (_ @t514 @t104)) % 0.87/1.14 (define @t559 () (_ (_ tptp.binunion @t515) @t558)) % 0.87/1.14 (define @t560 () (_ (_ tptp.binunion @t1) @t104)) % 0.87/1.14 (define @t561 () (_ @t514 @t560)) % 0.87/1.14 (define @t562 () (= @t561 @t559)) % 0.87/1.14 (define @t563 () (forall @t455 @t562)) % 0.87/1.14 (define @t564 () (= tptp.bs114d @t563)) % 0.87/1.14 (define @t565 () (_ (_ tptp.setminus @t2) @t1)) % 0.87/1.14 (define @t566 () (_ @t5 @t565)) % 0.87/1.14 (define @t567 () (=> @t435 @t566)) % 0.87/1.14 (define @t568 () (forall @t245 (=> @t7 @t567))) % 0.87/1.14 (define @t569 () (= tptp.setminusI @t568)) % 0.87/1.14 (define @t570 () (forall @t245 (=> @t566 @t7))) % 0.87/1.14 (define @t571 () (= tptp.setminusEL @t570)) % 0.87/1.14 (define @t572 () (forall @t245 (=> @t566 @t435))) % 0.87/1.14 (define @t573 () (= tptp.setminusER @t572)) % 0.87/1.14 (define @t574 () (= @t565 tptp.emptyset)) % 0.87/1.14 (define @t575 () (=> @t420 @t574)) % 0.87/1.14 (define @t576 () (forall @t12 @t575)) % 0.87/1.14 (define @t577 () (= tptp.setminusSubset2 @t576)) % 0.87/1.14 (define @t578 () (not @t566)) % 0.87/1.14 (define @t579 () (forall @t245 (=> @t578 @t191))) % 0.87/1.14 (define @t580 () (= tptp.setminusERneg @t579)) % 0.87/1.14 (define @t581 () (forall @t245 (=> @t578 @t436))) % 0.87/1.14 (define @t582 () (= tptp.setminusELneg @t581)) % 0.87/1.14 (define @t583 () (forall @t245 (=> @t197 @t578))) % 0.87/1.14 (define @t584 () (= tptp.setminusILneg @t583)) % 0.87/1.14 (define @t585 () (forall @t245 (=> @t6 @t578))) % 0.87/1.14 (define @t586 () (= tptp.setminusIRneg @t585)) % 0.87/1.14 (define @t587 () (_ (_ tptp.subset @t565) @t2)) % 0.87/1.14 (define @t588 () (forall @t12 @t587)) % 0.87/1.14 (define @t589 () (= tptp.setminusLsub @t588)) % 0.87/1.14 (define @t590 () (=> @t574 @t420)) % 0.87/1.14 (define @t591 () (forall @t12 @t590)) % 0.87/1.14 (define @t592 () (= tptp.setminusSubset1 @t591)) % 0.87/1.14 (define @t593 () (=> @t197 @t498)) % 0.87/1.14 (define @t594 () (=> @t593 @t173)) % 0.87/1.14 (define @t595 () (=> @t435 @t173)) % 0.87/1.14 (define @t596 () (=> @t7 @t595)) % 0.87/1.14 (define @t597 () (forall @t179 (=> @t596 @t594))) % 0.87/1.14 (define @t598 () (_ (_ tptp.symdiff @t2) @t1)) % 0.87/1.14 (define @t599 () (_ @t5 @t598)) % 0.87/1.14 (define @t600 () (=> @t599 @t597)) % 0.87/1.14 (define @t601 () (forall @t245 @t600)) % 0.87/1.14 (define @t602 () (= tptp.symdiffE @t601)) % 0.87/1.14 (define @t603 () (=> @t435 @t599)) % 0.87/1.14 (define @t604 () (forall @t245 (=> @t7 @t603))) % 0.87/1.14 (define @t605 () (= tptp.symdiffI1 @t604)) % 0.87/1.14 (define @t606 () (=> @t6 @t599)) % 0.87/1.14 (define @t607 () (forall @t245 (=> @t197 @t606))) % 0.87/1.14 (define @t608 () (= tptp.symdiffI2 @t607)) % 0.87/1.14 (define @t609 () (not @t599)) % 0.87/1.14 (define @t610 () (=> @t6 @t609)) % 0.87/1.14 (define @t611 () (forall @t245 (=> @t7 @t610))) % 0.87/1.14 (define @t612 () (= tptp.symdiffIneg1 @t611)) % 0.87/1.14 (define @t613 () (=> @t435 @t609)) % 0.87/1.14 (define @t614 () (forall @t245 (=> @t197 @t613))) % 0.87/1.14 (define @t615 () (= tptp.symdiffIneg2 @t614)) % 0.87/1.14 (define @t616 () (_ (_ tptp.setadjoin @t291) tptp.emptyset)) % 0.87/1.14 (define @t617 () (_ tptp.setadjoin @t279)) % 0.87/1.14 (define @t618 () (_ @t617 @t616)) % 0.87/1.14 (define @t619 () (_ tptp.setunion @t618)) % 0.87/1.14 (define @t620 () (_ @t5 @t619)) % 0.87/1.14 (define @t621 () (forall @t135 @t620)) % 0.87/1.14 (define @t622 () (= tptp.setukpairIL @t621)) % 0.87/1.14 (define @t623 () (_ @t20 @t619)) % 0.87/1.14 (define @t624 () (forall @t135 @t623)) % 0.87/1.14 (define @t625 () (= tptp.setukpairIR @t624)) % 0.87/1.14 (define @t626 () (forall @t135 (_ tptp.iskpair @t618))) % 0.87/1.14 (define @t627 () (= tptp.kpairiskpair @t626)) % 0.87/1.14 (define @t628 () (_ (_ tptp.kpair @t4) @t19)) % 0.87/1.14 (define @t629 () (forall @t135 (_ tptp.iskpair @t628))) % 0.87/1.14 (define @t630 () (= tptp.kpairp @t629)) % 0.87/1.14 (define @t631 () (_ (_ tptp.subset @t279) @t2)) % 0.87/1.14 (define @t632 () (forall @t46 (=> @t7 @t631))) % 0.87/1.14 (define @t633 () (= tptp.singletonsubset @t632)) % 0.87/1.14 (define @t634 () (_ tptp.in @t279)) % 0.87/1.14 (define @t635 () (_ @t634 @t33)) % 0.87/1.14 (define @t636 () (forall @t46 (=> @t7 @t635))) % 0.87/1.14 (define @t637 () (= tptp.singletoninpowerset @t636)) % 0.87/1.14 (define @t638 () (_ tptp.powerset @t492)) % 0.87/1.14 (define @t639 () (_ @t634 @t638)) % 0.87/1.14 (define @t640 () (forall @t245 (=> @t7 @t639))) % 0.87/1.14 (define @t641 () (= tptp.singletoninpowunion @t640)) % 0.87/1.14 (define @t642 () (_ (_ tptp.subset @t291) @t492)) % 0.87/1.14 (define @t643 () (forall @t70 (=> @t352 @t642))) % 0.87/1.14 (define @t644 () (=> @t7 @t643)) % 0.87/1.14 (define @t645 () (forall @t245 @t644)) % 0.87/1.14 (define @t646 () (= tptp.upairsubunion @t645)) % 0.87/1.14 (define @t647 () (_ (_ tptp.in @t291) @t638)) % 0.87/1.14 (define @t648 () (forall @t70 (=> @t352 @t647))) % 0.87/1.14 (define @t649 () (=> @t7 @t648)) % 0.87/1.14 (define @t650 () (forall @t245 @t649)) % 0.87/1.14 (define @t651 () (= tptp.upairinpowunion @t650)) % 0.87/1.14 (define @t652 () (_ (_ tptp.subset @t618) @t638)) % 0.87/1.14 (define @t653 () (forall @t70 (=> @t352 @t652))) % 0.87/1.14 (define @t654 () (=> @t7 @t653)) % 0.87/1.14 (define @t655 () (forall @t245 @t654)) % 0.87/1.14 (define @t656 () (= tptp.ubforcartprodlem1 @t655)) % 0.87/1.14 (define @t657 () (_ tptp.powerset @t638)) % 0.87/1.14 (define @t658 () (_ tptp.in @t618)) % 0.87/1.14 (define @t659 () (_ @t658 @t657)) % 0.87/1.14 (define @t660 () (forall @t70 (=> @t352 @t659))) % 0.87/1.14 (define @t661 () (=> @t7 @t660)) % 0.87/1.14 (define @t662 () (forall @t245 @t661)) % 0.87/1.14 (define @t663 () (= tptp.ubforcartprodlem2 @t662)) % 0.87/1.14 (define @t664 () (_ tptp.in @t628)) % 0.87/1.14 (define @t665 () (=> @t352 (_ @t664 @t657))) % 0.87/1.14 (define @t666 () (forall @t70 @t665)) % 0.87/1.14 (define @t667 () (=> @t7 @t666)) % 0.87/1.14 (define @t668 () (forall @t245 @t667)) % 0.87/1.14 (define @t669 () (= tptp.ubforcartprodlem3 @t668)) % 0.87/1.14 (define @t670 () (_ (_ tptp.cartprod @t2) @t1)) % 0.87/1.14 (define @t671 () (=> @t352 (_ @t664 @t670))) % 0.87/1.14 (define @t672 () (forall @t70 @t671)) % 0.87/1.14 (define @t673 () (=> @t7 @t672)) % 0.87/1.14 (define @t674 () (forall @t245 @t673)) % 0.87/1.14 (define @t675 () (= tptp.cartprodpairin @t674)) % 0.87/1.14 (define @t676 () (= @t381 @t628)) % 0.87/1.14 (define @t677 () (and @t352 @t676)) % 0.87/1.14 (define @t678 () (exists @t70 @t677)) % 0.87/1.14 (define @t679 () (and @t7 @t678)) % 0.87/1.14 (define @t680 () (exists @t9 @t679)) % 0.87/1.14 (define @t681 () (_ tptp.in @t381)) % 0.87/1.14 (define @t682 () (_ @t681 @t670)) % 0.87/1.14 (define @t683 () (=> @t682 @t680)) % 0.87/1.14 (define @t684 () (@list @t2 @t1 @t381)) % 0.87/1.14 (define @t685 () (forall @t684 @t683)) % 0.87/1.14 (define @t686 () (= tptp.cartprodmempair1 @t685)) % 0.87/1.14 (define @t687 () (_ tptp.iskpair @t381)) % 0.87/1.14 (define @t688 () (=> @t682 @t687)) % 0.87/1.14 (define @t689 () (forall @t684 @t688)) % 0.87/1.14 (define @t690 () (= tptp.cartprodmempair @t689)) % 0.87/1.14 (define @t691 () (@var "X" $$unsorted)) % 0.87/1.14 (define @t692 () (_ @t5 @t691)) % 0.87/1.14 (define @t693 () (_ (_ tptp.in @t691) @t2)) % 0.87/1.14 (define @t694 () (and @t693 @t692)) % 0.87/1.14 (define @t695 () (@list @t691)) % 0.87/1.14 (define @t696 () (exists @t695 @t694)) % 0.87/1.14 (define @t697 () (=> @t44 @t696)) % 0.87/1.14 (define @t698 () (forall @t46 @t697)) % 0.87/1.14 (define @t699 () (= tptp.setunionE2 @t698)) % 0.87/1.14 (define @t700 () (_ (_ tptp.setadjoin @t2) tptp.emptyset)) % 0.87/1.14 (define @t701 () (_ tptp.setunion @t700)) % 0.87/1.14 (define @t702 () (_ (_ tptp.subset @t701) @t2)) % 0.87/1.14 (define @t703 () (forall @t64 @t702)) % 0.87/1.14 (define @t704 () (= tptp.setunionsingleton1 @t703)) % 0.87/1.14 (define @t705 () (_ @t419 @t701)) % 0.87/1.14 (define @t706 () (forall @t64 @t705)) % 0.87/1.14 (define @t707 () (= tptp.setunionsingleton2 @t706)) % 0.87/1.14 (define @t708 () (_ tptp.setunion @t279)) % 0.87/1.14 (define @t709 () (forall @t9 (= @t708 @t4))) % 0.87/1.14 (define @t710 () (= tptp.setunionsingleton @t709)) % 0.87/1.14 (define @t711 () (_ tptp.singleton @t304)) % 0.87/1.14 (define @t712 () (=> @t307 @t711)) % 0.87/1.14 (define @t713 () (forall @t70 (=> @t21 @t343))) % 0.87/1.14 (define @t714 () (=> @t7 @t713)) % 0.87/1.14 (define @t715 () (forall @t9 @t714)) % 0.87/1.14 (define @t716 () (=> @t715 @t712)) % 0.87/1.14 (define @t717 () (forall @t309 @t716)) % 0.87/1.14 (define @t718 () (= tptp.singletonprop @t717)) % 0.87/1.14 (define @t719 () (_ tptp.ex1 @t2)) % 0.87/1.14 (define @t720 () (_ @t719 @t145)) % 0.87/1.14 (define @t721 () (=> @t720 @t307)) % 0.87/1.14 (define @t722 () (forall @t309 @t721)) % 0.87/1.14 (define @t723 () (= tptp.ex1E1 @t722)) % 0.87/1.14 (define @t724 () (=> @t153 @t22)) % 0.87/1.14 (define @t725 () (=> @t21 @t724)) % 0.87/1.14 (define @t726 () (forall @t70 @t725)) % 0.87/1.14 (define @t727 () (=> @t726 (_ @t719 @t154))) % 0.87/1.14 (define @t728 () (=> @t144 @t727)) % 0.87/1.14 (define @t729 () (=> @t7 @t728)) % 0.87/1.14 (define @t730 () (forall @t159 @t729)) % 0.87/1.14 (define @t731 () (= tptp.ex1I @t730)) % 0.87/1.14 (define @t732 () (=> @t307 @t720)) % 0.87/1.14 (define @t733 () (=> @t715 @t732)) % 0.87/1.14 (define @t734 () (forall @t309 @t733)) % 0.87/1.14 (define @t735 () (= tptp.ex1I2 @t734)) % 0.87/1.14 (define @t736 () (=> (= @t279 @t275) @t129)) % 0.87/1.14 (define @t737 () (forall @t135 @t736)) % 0.87/1.14 (define @t738 () (= tptp.singletonsuniq @t737)) % 0.87/1.14 (define @t739 () (= @t4 @t289)) % 0.87/1.14 (define @t740 () (_ tptp.setadjoin @t289)) % 0.87/1.14 (define @t741 () (_ @t740 tptp.emptyset)) % 0.87/1.14 (define @t742 () (_ (_ tptp.in @t741) @t618)) % 0.87/1.14 (define @t743 () (forall @t295 (=> @t742 @t739))) % 0.87/1.14 (define @t744 () (= tptp.setukpairinjL1 @t743)) % 0.87/1.14 (define @t745 () (lambda @t9 (_ @t634 @t381))) % 0.87/1.14 (define @t746 () (_ tptp.setunion @t381)) % 0.87/1.14 (define @t747 () (_ tptp.dsetconstr @t746)) % 0.87/1.14 (define @t748 () (_ @t747 @t745)) % 0.87/1.14 (define @t749 () (=> @t687 (_ tptp.singleton @t748))) % 0.87/1.14 (define @t750 () (@list @t381)) % 0.87/1.14 (define @t751 () (forall @t750 @t749)) % 0.87/1.14 (define @t752 () (= tptp.kfstsingleton @t751)) % 0.87/1.14 (define @t753 () (_ tptp.setunion @t691)) % 0.87/1.14 (define @t754 () (_ (_ tptp.in @t753) @t691)) % 0.87/1.14 (define @t755 () (=> (_ tptp.singleton @t691) @t754)) % 0.87/1.14 (define @t756 () (forall @t695 @t755)) % 0.87/1.14 (define @t757 () (= tptp.theprop @t756)) % 0.87/1.14 (define @t758 () (= (_ tptp.kfst @t628) @t4)) % 0.87/1.14 (define @t759 () (forall @t135 @t758)) % 0.87/1.14 (define @t760 () (= tptp.kfstpairEq @t759)) % 0.87/1.14 (define @t761 () (_ tptp.kfst @t381)) % 0.87/1.14 (define @t762 () (_ (_ tptp.in @t761) @t2)) % 0.87/1.14 (define @t763 () (forall @t684 (=> @t682 @t762))) % 0.87/1.14 (define @t764 () (= tptp.cartprodfstin @t763)) % 0.87/1.14 (define @t765 () (_ (_ tptp.setadjoin @t381) tptp.emptyset)) % 0.87/1.14 (define @t766 () (_ @t740 @t765)) % 0.87/1.14 (define @t767 () (_ (_ tptp.setadjoin @t766) tptp.emptyset)) % 0.87/1.14 (define @t768 () (_ tptp.setadjoin @t741)) % 0.87/1.14 (define @t769 () (_ @t768 @t767)) % 0.87/1.14 (define @t770 () (= @t618 @t769)) % 0.87/1.14 (define @t771 () (@list @t4 @t19 @t289 @t381)) % 0.87/1.14 (define @t772 () (forall @t771 (=> @t770 @t739))) % 0.87/1.14 (define @t773 () (= tptp.setukpairinjL2 @t772)) % 0.87/1.14 (define @t774 () (= @t628 (_ (_ tptp.kpair @t289) @t381))) % 0.87/1.14 (define @t775 () (=> @t774 @t739)) % 0.87/1.14 (define @t776 () (forall @t771 @t775)) % 0.87/1.14 (define @t777 () (= tptp.setukpairinjL @t776)) % 0.87/1.14 (define @t778 () (=> @t129 (= @t291 @t279))) % 0.87/1.14 (define @t779 () (forall @t135 @t778)) % 0.87/1.14 (define @t780 () (= tptp.setukpairinjR11 @t779)) % 0.87/1.14 (define @t781 () (_ @t617 tptp.emptyset)) % 0.87/1.14 (define @t782 () (= @t618 @t781)) % 0.87/1.14 (define @t783 () (forall @t135 (=> @t129 @t782))) % 0.87/1.14 (define @t784 () (= tptp.setukpairinjR12 @t783)) % 0.87/1.14 (define @t785 () (= @t19 @t381)) % 0.87/1.14 (define @t786 () (=> @t385 @t785)) % 0.87/1.14 (define @t787 () (forall @t771 (=> @t770 @t786))) % 0.87/1.14 (define @t788 () (= tptp.setukpairinjR1 @t787)) % 0.87/1.14 (define @t789 () (= @t291 @t741)) % 0.87/1.14 (define @t790 () (forall @t295 (=> @t789 @t129))) % 0.87/1.14 (define @t791 () (=> tptp.setukpairinjR1 @t790)) % 0.87/1.14 (define @t792 () (=> tptp.setukpairinjR12 @t791)) % 0.87/1.14 (define @t793 () (=> tptp.setukpairinjR11 @t792)) % 0.87/1.14 (define @t794 () (=> tptp.setukpairinjL @t793)) % 0.87/1.14 (define @t795 () (=> tptp.setukpairinjL2 @t794)) % 0.87/1.14 (define @t796 () (=> tptp.cartprodfstin @t795)) % 0.87/1.14 (define @t797 () (=> tptp.kfstpairEq @t796)) % 0.87/1.14 (define @t798 () (=> tptp.theprop @t797)) % 0.87/1.14 (define @t799 () (=> tptp.kfstsingleton @t798)) % 0.87/1.14 (define @t800 () (=> tptp.setukpairinjL1 @t799)) % 0.87/1.14 (define @t801 () (=> tptp.singletonsuniq @t800)) % 0.87/1.14 (define @t802 () (=> tptp.ex1I2 @t801)) % 0.87/1.14 (define @t803 () (=> tptp.ex1I @t802)) % 0.87/1.14 (define @t804 () (=> tptp.ex1E1 @t803)) % 0.87/1.14 (define @t805 () (=> tptp.singletonprop @t804)) % 0.87/1.14 (define @t806 () (=> tptp.setunionsingleton @t805)) % 0.87/1.14 (define @t807 () (=> tptp.setunionsingleton2 @t806)) % 0.87/1.14 (define @t808 () (=> tptp.setunionsingleton1 @t807)) % 0.87/1.14 (define @t809 () (=> tptp.setunionE2 @t808)) % 0.87/1.14 (define @t810 () (=> tptp.cartprodmempair @t809)) % 0.87/1.14 (define @t811 () (=> tptp.cartprodmempair1 @t810)) % 0.87/1.14 (define @t812 () (=> tptp.cartprodpairin @t811)) % 0.87/1.14 (define @t813 () (=> tptp.ubforcartprodlem3 @t812)) % 0.87/1.14 (define @t814 () (=> tptp.ubforcartprodlem2 @t813)) % 0.87/1.14 (define @t815 () (=> tptp.ubforcartprodlem1 @t814)) % 0.87/1.14 (define @t816 () (=> tptp.upairinpowunion @t815)) % 0.87/1.14 (define @t817 () (=> tptp.upairsubunion @t816)) % 0.87/1.14 (define @t818 () (=> tptp.upairset2E @t817)) % 0.87/1.14 (define @t819 () (=> tptp.singletoninpowunion @t818)) % 0.87/1.14 (define @t820 () (=> tptp.singletoninpowerset @t819)) % 0.87/1.14 (define @t821 () (=> tptp.singletonsubset @t820)) % 0.87/1.14 (define @t822 () (=> tptp.kpairp @t821)) % 0.87/1.14 (define @t823 () (=> tptp.kpairiskpair @t822)) % 0.87/1.14 (define @t824 () (=> tptp.setukpairIR @t823)) % 0.87/1.14 (define @t825 () (=> tptp.setukpairIL @t824)) % 0.87/1.14 (define @t826 () (=> tptp.secondinupair @t825)) % 0.87/1.14 (define @t827 () (=> tptp.symdiffIneg2 @t826)) % 0.87/1.14 (define @t828 () (=> tptp.symdiffIneg1 @t827)) % 0.87/1.14 (define @t829 () (=> tptp.symdiffI2 @t828)) % 0.87/1.14 (define @t830 () (=> tptp.symdiffI1 @t829)) % 0.87/1.14 (define @t831 () (=> tptp.symdiffE @t830)) % 0.87/1.14 (define @t832 () (=> tptp.setminusSubset1 @t831)) % 0.87/1.14 (define @t833 () (=> tptp.setminusLsub @t832)) % 0.87/1.14 (define @t834 () (=> tptp.setminusIRneg @t833)) % 0.87/1.14 (define @t835 () (=> tptp.setminusILneg @t834)) % 0.87/1.14 (define @t836 () (=> tptp.setminusELneg @t835)) % 0.87/1.14 (define @t837 () (=> tptp.setminusERneg @t836)) % 0.87/1.14 (define @t838 () (=> tptp.setminusSubset2 @t837)) % 0.87/1.14 (define @t839 () (=> tptp.setminusER @t838)) % 0.87/1.14 (define @t840 () (=> tptp.setminusEL @t839)) % 0.87/1.14 (define @t841 () (=> tptp.setminusI @t840)) % 0.87/1.14 (define @t842 () (=> tptp.bs114d @t841)) % 0.87/1.14 (define @t843 () (=> tptp.binintersectSubset1 @t842)) % 0.87/1.14 (define @t844 () (=> tptp.binintersectSubset4 @t843)) % 0.87/1.14 (define @t845 () (=> tptp.binintersectRsub @t844)) % 0.87/1.14 (define @t846 () (=> tptp.disjointsetsI1 @t845)) % 0.87/1.14 (define @t847 () (=> tptp.binintersectER @t846)) % 0.87/1.14 (define @t848 () (=> tptp.binintersectSubset3 @t847)) % 0.87/1.14 (define @t849 () (=> tptp.binintersectSubset2 @t848)) % 0.87/1.14 (define @t850 () (=> tptp.binintersectLsub @t849)) % 0.87/1.14 (define @t851 () (=> tptp.binintersectEL @t850)) % 0.87/1.14 (define @t852 () (=> tptp.binintersectSubset5 @t851)) % 0.87/1.14 (define @t853 () (=> tptp.binintersectI @t852)) % 0.87/1.14 (define @t854 () (=> tptp.binunionRsub @t853)) % 0.87/1.14 (define @t855 () (=> tptp.binunionLsub @t854)) % 0.87/1.14 (define @t856 () (=> tptp.binunionE @t855)) % 0.87/1.14 (define @t857 () (=> tptp.binunionEcases @t856)) % 0.87/1.14 (define @t858 () (=> tptp.binunionIR @t857)) % 0.87/1.14 (define @t859 () (=> tptp.upairset2IR @t858)) % 0.87/1.14 (define @t860 () (=> tptp.binunionIL @t859)) % 0.87/1.14 (define @t861 () (=> tptp.sepSubset @t860)) % 0.87/1.14 (define @t862 () (=> tptp.sepInPowerset @t861)) % 0.87/1.14 (define @t863 () (=> tptp.powersetsubset @t862)) % 0.87/1.14 (define @t864 () (=> tptp.inPowerset @t863)) % 0.87/1.14 (define @t865 () (=> tptp.powersetE1 @t864)) % 0.87/1.14 (define @t866 () (=> tptp.powersetI1 @t865)) % 0.87/1.14 (define @t867 () (=> tptp.subsetemptysetimpeq @t866)) % 0.87/1.14 (define @t868 () (=> tptp.setextsub @t867)) % 0.87/1.14 (define @t869 () (=> tptp.subset2powerset @t868)) % 0.87/1.14 (define @t870 () (=> tptp.setadjoinSub2 @t869)) % 0.87/1.14 (define @t871 () (=> tptp.setadjoinSub @t870)) % 0.87/1.14 (define @t872 () (=> tptp.subsetTrans @t871)) % 0.87/1.14 (define @t873 () (=> tptp.subsetRefl @t872)) % 0.87/1.14 (define @t874 () (=> tptp.notequalI2 @t873)) % 0.87/1.14 (define @t875 () (=> tptp.notequalI1 @t874)) % 0.87/1.14 (define @t876 () (=> tptp.notsubsetI @t875)) % 0.87/1.14 (define @t877 () (=> tptp.subsetE2 @t876)) % 0.87/1.14 (define @t878 () (=> tptp.subsetE @t877)) % 0.87/1.14 (define @t879 () (=> tptp.emptysetsubset @t878)) % 0.87/1.14 (define @t880 () (=> tptp.subsetI2 @t879)) % 0.87/1.14 (define @t881 () (=> tptp.eqimpsubset1 @t880)) % 0.87/1.14 (define @t882 () (=> tptp.eqimpsubset2 @t881)) % 0.87/1.14 (define @t883 () (=> tptp.subsetI1 @t882)) % 0.87/1.14 (define @t884 () (=> tptp.dsetconstr__Cong @t883)) % 0.87/1.14 (define @t885 () (=> tptp.descr__Cong @t884)) % 0.87/1.14 (define @t886 () (=> tptp.exuEu @t885)) % 0.87/1.14 (define @t887 () (=> tptp.omega__Cong @t886)) % 0.87/1.14 (define @t888 () (=> tptp.setunion__Cong @t887)) % 0.87/1.14 (define @t889 () (=> tptp.powerset__Cong @t888)) % 0.87/1.14 (define @t890 () (=> tptp.setadjoin__Cong @t889)) % 0.87/1.14 (define @t891 () (=> tptp.emptyset__Cong @t890)) % 0.87/1.14 (define @t892 () (=> tptp.exu__Cong @t891)) % 0.87/1.14 (define @t893 () (=> tptp.exuE3u @t892)) % 0.87/1.14 (define @t894 () (=> tptp.in__Cong @t893)) % 0.87/1.14 (define @t895 () (=> tptp.inCongP @t894)) % 0.87/1.14 (define @t896 () (=> tptp.exuI2 @t895)) % 0.87/1.14 (define @t897 () (=> tptp.exuI3 @t896)) % 0.87/1.14 (define @t898 () (=> tptp.exuI1 @t897)) % 0.87/1.14 (define @t899 () (=> tptp.notdallE @t898)) % 0.87/1.14 (define @t900 () (=> tptp.notdexE @t899)) % 0.87/1.14 (define @t901 () (=> tptp.prop2set2propI @t900)) % 0.87/1.14 (define @t902 () (=> tptp.prop2setI @t901)) % 0.87/1.14 (define @t903 () (=> tptp.quantDeMorgan4 @t902)) % 0.87/1.14 (define @t904 () (=> tptp.quantDeMorgan3 @t903)) % 0.87/1.14 (define @t905 () (=> tptp.quantDeMorgan2 @t904)) % 0.87/1.14 (define @t906 () (=> tptp.quantDeMorgan1 @t905)) % 0.87/1.14 (define @t907 () (=> tptp.vacuousDall @t906)) % 0.87/1.14 (define @t908 () (=> tptp.emptyE1 @t907)) % 0.87/1.14 (define @t909 () (=> tptp.upairsetIR @t908)) % 0.87/1.14 (define @t910 () (=> tptp.upairsetIL @t909)) % 0.87/1.14 (define @t911 () (=> tptp.upairsetE @t910)) % 0.87/1.14 (define @t912 () (=> tptp.singletonsswitch @t911)) % 0.87/1.14 (define @t913 () (=> tptp.eqinunit @t912)) % 0.87/1.14 (define @t914 () (=> tptp.notinsingleton @t913)) % 0.87/1.14 (define @t915 () (=> tptp.uniqinunit @t914)) % 0.87/1.14 (define @t916 () (=> tptp.nonemptyImpWitness @t915)) % 0.87/1.14 (define @t917 () (=> tptp.exuE2 @t916)) % 0.87/1.14 (define @t918 () (=> tptp.subPowSU @t917)) % 0.87/1.14 (define @t919 () (=> tptp.setunionE @t918)) % 0.87/1.14 (define @t920 () (=> tptp.setunionI @t919)) % 0.87/1.14 (define @t921 () (=> tptp.powersetE @t920)) % 0.87/1.14 (define @t922 () (=> tptp.emptyInPowerset @t921)) % 0.87/1.14 (define @t923 () (=> tptp.emptyinPowerset @t922)) % 0.87/1.14 (define @t924 () (=> tptp.powersetI @t923)) % 0.87/1.14 (define @t925 () (=> tptp.setoftrueEq @t924)) % 0.87/1.14 (define @t926 () (=> tptp.setadjoinOr @t925)) % 0.87/1.14 (define @t927 () (=> tptp.setadjoinE @t926)) % 0.87/1.14 (define @t928 () (=> tptp.setadjoinIR @t927)) % 0.87/1.14 (define @t929 () (=> tptp.emptyinunitempty @t928)) % 0.87/1.14 (define @t930 () (=> tptp.setadjoinIL @t929)) % 0.87/1.14 (define @t931 () (=> tptp.nonemptyI1 @t930)) % 0.87/1.14 (define @t932 () (=> tptp.nonemptyI @t931)) % 0.87/1.14 (define @t933 () (=> tptp.nonemptyE1 @t932)) % 0.87/1.14 (define @t934 () (=> tptp.setbeta @t933)) % 0.87/1.14 (define @t935 () (=> tptp.noeltsimpempty @t934)) % 0.87/1.14 (define @t936 () (=> tptp.emptyI @t935)) % 0.87/1.14 (define @t937 () (=> tptp.setext @t936)) % 0.87/1.14 (define @t938 () (=> tptp.exuE3e @t937)) % 0.87/1.14 (define @t939 () (=> tptp.notinemptyset @t938)) % 0.87/1.14 (define @t940 () (=> tptp.emptysetimpfalse @t939)) % 0.87/1.14 (define @t941 () (=> tptp.emptysetE @t940)) % 0.87/1.14 (define @t942 () (=> tptp.prop2setE @t941)) % 0.87/1.14 (define @t943 () (=> tptp.exuE1 @t942)) % 0.87/1.14 (define @t944 () (=> tptp.dsetconstrER @t943)) % 0.87/1.14 (define @t945 () (=> tptp.dsetconstrEL @t944)) % 0.87/1.14 (define @t946 () (=> tptp.dsetconstrI @t945)) % 0.87/1.14 (define @t947 () (=> tptp.descrp @t946)) % 0.87/1.14 (define @t948 () (=> tptp.wellorderingAx @t947)) % 0.87/1.14 (define @t949 () (=> tptp.foundationAx @t948)) % 0.87/1.14 (define @t950 () (=> tptp.replAx @t949)) % 0.87/1.14 (define @t951 () (=> tptp.omegaIndAx @t950)) % 0.87/1.14 (define @t952 () (=> tptp.omegaSAx @t951)) % 0.87/1.14 (define @t953 () (=> tptp.omega0Ax @t952)) % 0.87/1.14 (define @t954 () (=> tptp.setunionAx @t953)) % 0.87/1.14 (define @t955 () (=> tptp.powersetAx @t954)) % 0.87/1.14 (define @t956 () (=> tptp.setadjoinAx @t955)) % 0.87/1.14 (define @t957 () (=> tptp.emptysetAx @t956)) % 0.87/1.14 (define @t958 () (=> tptp.setextAx @t957)) % 0.87/1.14 (define @t959 () (not @t958)) % 0.87/1.14 (define @t960 () (lambda @t150 @t169)) % 0.87/1.14 (define @t961 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.87/1.14 (define @t962 () (= @t2 @t618)) % 0.87/1.14 (define @t963 () (_ @t20 @t43)) % 0.87/1.14 (define @t964 () (and @t963 @t962)) % 0.87/1.14 (define @t965 () (exists @t70 @t964)) % 0.87/1.14 (define @t966 () (and @t44 @t965)) % 0.87/1.14 (define @t967 () (exists @t9 @t966)) % 0.87/1.14 (define @t968 () (lambda @t64 @t967)) % 0.87/1.14 (define @t969 () (lambda @t135 @t618)) % 0.87/1.14 (define @t970 () (= @t2 @t279)) % 0.87/1.14 (define @t971 () (and @t7 @t970)) % 0.87/1.14 (define @t972 () (exists @t9 @t971)) % 0.87/1.14 (define @t973 () (lambda @t64 @t972)) % 0.87/1.14 (define @t974 () (lambda @t309 @t711)) % 0.87/1.14 (define @t975 () (tptp.setadjoin @t289 tptp.emptyset)) % 0.87/1.14 (define @t976 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.87/1.14 (define @t977 () (tptp.setadjoin @t4 @t976)) % 0.87/1.14 (define @t978 () (forall @t295 (or (not (= @t977 @t975)) @t129))) % 0.87/1.14 (define @t979 () (tptp.setadjoin @t381 tptp.emptyset)) % 0.87/1.14 (define @t980 () (tptp.setadjoin @t977 tptp.emptyset)) % 0.87/1.14 (define @t981 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.87/1.14 (define @t982 () (tptp.setadjoin @t981 @t980)) % 0.87/1.14 (define @t983 () (not (= @t982 (tptp.setadjoin @t979 (tptp.setadjoin (tptp.setadjoin @t381 @t979) tptp.emptyset))))) % 0.87/1.14 (define @t984 () (or @t983 @t785)) % 0.87/1.14 (define @t985 () (@list @t4 @t19 @t381)) % 0.87/1.14 (define @t986 () (tptp.setadjoin @t19 @t976)) % 0.87/1.14 (define @t987 () (= (tptp.setadjoin @t976 (tptp.setadjoin @t986 tptp.emptyset)) (tptp.setadjoin @t976 tptp.emptyset))) % 0.87/1.14 (define @t988 () (= @t976 @t986)) % 0.87/1.14 (define @t989 () (tptp.setadjoin @t289 @t979)) % 0.87/1.14 (define @t990 () (tptp.setadjoin @t989 tptp.emptyset)) % 0.87/1.14 (define @t991 () (tptp.setadjoin @t975 @t990)) % 0.87/1.14 (define @t992 () (not (= @t982 @t991))) % 0.87/1.14 (define @t993 () (forall @t771 (or @t992 @t739))) % 0.87/1.14 (define @t994 () (tptp.kfst @t381)) % 0.87/1.14 (define @t995 () (tptp.in @t994 @t2)) % 0.87/1.14 (define @t996 () (tptp.cartprod @t2 @t1)) % 0.87/1.14 (define @t997 () (tptp.in @t381 @t996)) % 0.87/1.14 (define @t998 () (not @t997)) % 0.87/1.14 (define @t999 () (tptp.kfst @t982)) % 0.87/1.14 (define @t1000 () (@var "BOUND_VARIABLE_11499" $$unsorted)) % 0.87/1.14 (define @t1001 () (tptp.setadjoin @t1000 tptp.emptyset)) % 0.87/1.14 (define @t1002 () (not (tptp.in @t1000 @t1001))) % 0.87/1.14 (define @t1003 () (tptp.in (tptp.setunion @t1001) @t1001)) % 0.87/1.14 (define @t1004 () (or @t1003 @t1002)) % 0.87/1.14 (define @t1005 () (@list @t1000)) % 0.87/1.14 (define @t1006 () (@var "BOUND_VARIABLE_11431" $$unsorted)) % 0.87/1.14 (define @t1007 () (@var "BOUND_VARIABLE_11429" $$unsorted)) % 0.87/1.14 (define @t1008 () (tptp.setadjoin (tptp.setadjoin @t1007 tptp.emptyset) (tptp.setadjoin (tptp.setadjoin @t1007 (tptp.setadjoin @t1006 tptp.emptyset)) tptp.emptyset))) % 0.87/1.14 (define @t1009 () (tptp.setunion @t1008)) % 0.87/1.14 (define @t1010 () (not (tptp.in @t1006 @t1009))) % 0.87/1.14 (define @t1011 () (not (tptp.in @t1007 @t1009))) % 0.87/1.14 (define @t1012 () (@var "BOUND_VARIABLE_11395" $$unsorted)) % 0.87/1.14 (define @t1013 () (tptp.setadjoin @t1012 tptp.emptyset)) % 0.87/1.14 (define @t1014 () (@list @t1012)) % 0.87/1.14 (define @t1015 () (tptp.dsetconstr @t1009 (lambda @t1014 (tptp.in @t1013 @t1008)))) % 0.87/1.14 (define @t1016 () (not (forall @t9 (or (not (tptp.in @t4 @t1015)) (not (= @t981 @t1015)))))) % 0.87/1.14 (define @t1017 () (or @t1016 @t1011 @t1010)) % 0.87/1.14 (define @t1018 () (@list @t1007 @t1006)) % 0.87/1.14 (define @t1019 () (tptp.in @t975 @t982)) % 0.87/1.14 (define @t1020 () (@var "BOUND_VARIABLE_11212" $$unsorted)) % 0.87/1.14 (define @t1021 () (not (_ @t143 @t1020))) % 0.87/1.14 (define @t1022 () (not (tptp.in @t1020 @t2))) % 0.87/1.14 (define @t1023 () (tptp.dsetconstr @t2 @t143)) % 0.87/1.14 (define @t1024 () (tptp.in @t4 @t1023)) % 0.87/1.14 (define @t1025 () (not @t1024)) % 0.87/1.14 (define @t1026 () (forall @t9 (or @t1025 (not (= @t981 @t1023))))) % 0.87/1.14 (define @t1027 () (not @t1026)) % 0.87/1.14 (define @t1028 () (@var "BOUND_VARIABLE_11192" $$unsorted)) % 0.87/1.14 (define @t1029 () (= @t4 @t1028)) % 0.87/1.14 (define @t1030 () (not (_ @t143 @t1028))) % 0.87/1.14 (define @t1031 () (not (tptp.in @t1028 @t2))) % 0.87/1.14 (define @t1032 () (_ @t143 @t4)) % 0.87/1.14 (define @t1033 () (not @t1032)) % 0.87/1.14 (define @t1034 () (tptp.in @t4 @t2)) % 0.87/1.14 (define @t1035 () (not @t1034)) % 0.87/1.14 (define @t1036 () (or @t1035 @t1033 @t1031 @t1030 @t1029)) % 0.87/1.14 (define @t1037 () (@list @t4 @t1028)) % 0.87/1.14 (define @t1038 () (forall @t1037 @t1036)) % 0.87/1.14 (define @t1039 () (not @t1038)) % 0.87/1.14 (define @t1040 () (or @t1039 @t1027 @t1022 @t1021)) % 0.87/1.14 (define @t1041 () (@list @t2 @t143 @t1020)) % 0.87/1.14 (define @t1042 () (forall @t1041 @t1040)) % 0.87/1.14 (define @t1043 () (@var "BOUND_VARIABLE_11313" $$unsorted)) % 0.87/1.14 (define @t1044 () (tptp.setadjoin @t1043 tptp.emptyset)) % 0.87/1.14 (define @t1045 () (not (tptp.in @t1043 @t1023))) % 0.87/1.14 (define @t1046 () (@list @t1043)) % 0.87/1.14 (define @t1047 () (not (forall @t1046 (or @t1045 (not (= @t1023 @t1044)))))) % 0.87/1.14 (define @t1048 () (_ @t143 @t19)) % 0.87/1.14 (define @t1049 () (not @t1048)) % 0.87/1.14 (define @t1050 () (tptp.in @t19 @t2)) % 0.87/1.14 (define @t1051 () (not @t1050)) % 0.87/1.14 (define @t1052 () (forall @t70 (or @t1051 @t1049 @t129))) % 0.87/1.14 (define @t1053 () (not @t1052)) % 0.87/1.14 (define @t1054 () (@var "BOUND_VARIABLE_11270" $$unsorted)) % 0.87/1.14 (define @t1055 () (tptp.setadjoin @t1054 tptp.emptyset)) % 0.87/1.14 (define @t1056 () (not (tptp.in @t1054 @t1023))) % 0.87/1.14 (define @t1057 () (forall @t9 (or @t1035 @t1033))) % 0.87/1.14 (define @t1058 () (not @t1057)) % 0.87/1.14 (define @t1059 () (@list @t2 @t143 @t1054)) % 0.87/1.14 (define @t1060 () (tptp.setunion @t981)) % 0.87/1.14 (define @t1061 () (tptp.setadjoin @t2 tptp.emptyset)) % 0.87/1.14 (define @t1062 () (tptp.setunion @t1061)) % 0.87/1.14 (define @t1063 () (tptp.subset @t2 @t1062)) % 0.87/1.14 (define @t1064 () (tptp.subset @t1062 @t2)) % 0.87/1.14 (define @t1065 () (tptp.in @t4 @t691)) % 0.87/1.14 (define @t1066 () (not @t1065)) % 0.87/1.14 (define @t1067 () (tptp.in @t691 @t2)) % 0.87/1.14 (define @t1068 () (not (forall @t695 (or (not @t1067) @t1066)))) % 0.87/1.14 (define @t1069 () (tptp.setunion @t2)) % 0.87/1.14 (define @t1070 () (tptp.in @t4 @t1069)) % 0.87/1.14 (define @t1071 () (not @t1070)) % 0.87/1.14 (define @t1072 () (@var "BOUND_VARIABLE_8368" $$unsorted)) % 0.87/1.14 (define @t1073 () (tptp.setadjoin @t1072 tptp.emptyset)) % 0.87/1.14 (define @t1074 () (tptp.setadjoin @t981 (tptp.setadjoin (tptp.setadjoin @t4 @t1073) tptp.emptyset))) % 0.87/1.14 (define @t1075 () (tptp.setunion @t381)) % 0.87/1.14 (define @t1076 () (@list @t4 @t1072)) % 0.87/1.14 (define @t1077 () (forall @t1076 (or (not (tptp.in @t4 @t1075)) (not (tptp.in @t1072 @t1075)) (not (= @t381 @t1074))))) % 0.87/1.14 (define @t1078 () (not @t1077)) % 0.87/1.14 (define @t1079 () (@var "BOUND_VARIABLE_11077" $$unsorted)) % 0.87/1.14 (define @t1080 () (not (= @t381 (tptp.setadjoin @t981 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t1079 tptp.emptyset)) tptp.emptyset))))) % 0.87/1.14 (define @t1081 () (not (tptp.in @t1079 @t1))) % 0.87/1.14 (define @t1082 () (or @t1035 @t1081 @t1080)) % 0.87/1.14 (define @t1083 () (@list @t4 @t1079)) % 0.87/1.14 (define @t1084 () (not (forall @t1083 @t1082))) % 0.87/1.14 (define @t1085 () (@var "BOUND_VARIABLE_11029" $$unsorted)) % 0.87/1.14 (define @t1086 () (tptp.in (tptp.setadjoin @t981 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t1085 tptp.emptyset)) tptp.emptyset)) @t996)) % 0.87/1.14 (define @t1087 () (not (tptp.in @t1085 @t1))) % 0.87/1.14 (define @t1088 () (or @t1035 @t1087 @t1086)) % 0.87/1.14 (define @t1089 () (@list @t2 @t1 @t4 @t1085)) % 0.87/1.14 (define @t1090 () (tptp.binunion @t2 @t1)) % 0.87/1.14 (define @t1091 () (tptp.powerset @t1090)) % 0.87/1.14 (define @t1092 () (tptp.powerset @t1091)) % 0.87/1.14 (define @t1093 () (@var "BOUND_VARIABLE_10981" $$unsorted)) % 0.87/1.14 (define @t1094 () (tptp.in (tptp.setadjoin @t981 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t1093 tptp.emptyset)) tptp.emptyset)) @t1092)) % 0.87/1.14 (define @t1095 () (not (tptp.in @t1093 @t1))) % 0.87/1.14 (define @t1096 () (or @t1035 @t1095 @t1094)) % 0.87/1.14 (define @t1097 () (@list @t2 @t1 @t4 @t1093)) % 0.87/1.14 (define @t1098 () (forall @t1097 @t1096)) % 0.87/1.14 (define @t1099 () (@var "BOUND_VARIABLE_10949" $$unsorted)) % 0.87/1.14 (define @t1100 () (tptp.subset (tptp.setadjoin @t981 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t1099 tptp.emptyset)) tptp.emptyset)) @t1091)) % 0.87/1.14 (define @t1101 () (not (tptp.in @t1099 @t1))) % 0.87/1.14 (define @t1102 () (or @t1035 @t1101 @t1100)) % 0.87/1.14 (define @t1103 () (@list @t2 @t1 @t4 @t1099)) % 0.87/1.14 (define @t1104 () (@var "BOUND_VARIABLE_10921" $$unsorted)) % 0.87/1.14 (define @t1105 () (tptp.in (tptp.setadjoin @t4 (tptp.setadjoin @t1104 tptp.emptyset)) @t1091)) % 0.87/1.14 (define @t1106 () (not (tptp.in @t1104 @t1))) % 0.87/1.14 (define @t1107 () (or @t1035 @t1106 @t1105)) % 0.87/1.14 (define @t1108 () (@list @t2 @t1 @t4 @t1104)) % 0.87/1.14 (define @t1109 () (@var "BOUND_VARIABLE_10893" $$unsorted)) % 0.87/1.14 (define @t1110 () (tptp.subset (tptp.setadjoin @t4 (tptp.setadjoin @t1109 tptp.emptyset)) @t1090)) % 0.87/1.14 (define @t1111 () (not (tptp.in @t1109 @t1))) % 0.87/1.14 (define @t1112 () (or @t1035 @t1111 @t1110)) % 0.87/1.14 (define @t1113 () (@list @t2 @t1 @t4 @t1109)) % 0.87/1.14 (define @t1114 () (= @t19 @t289)) % 0.87/1.14 (define @t1115 () (tptp.in @t289 @t977)) % 0.87/1.14 (define @t1116 () (forall @t295 (or (not @t1115) @t739 @t1114))) % 0.87/1.14 (define @t1117 () (tptp.in @t981 @t1091)) % 0.87/1.14 (define @t1118 () (tptp.powerset @t2)) % 0.87/1.14 (define @t1119 () (tptp.in @t981 @t1118)) % 0.87/1.14 (define @t1120 () (tptp.subset @t981 @t2)) % 0.87/1.14 (define @t1121 () (@var "BOUND_VARIABLE_10799" $$unsorted)) % 0.87/1.14 (define @t1122 () (tptp.setadjoin (tptp.setadjoin @t1121 tptp.emptyset) (tptp.setadjoin (tptp.setadjoin @t1121 @t1073) tptp.emptyset))) % 0.87/1.14 (define @t1123 () (tptp.setunion @t982)) % 0.87/1.14 (define @t1124 () (@list @t1121 @t1072)) % 0.87/1.14 (define @t1125 () (forall @t135 (not (forall @t1124 (or (not (tptp.in @t1121 @t1123)) (not (tptp.in @t1072 @t1123)) (not (= @t982 @t1122))))))) % 0.87/1.14 (define @t1126 () (tptp.in @t19 @t1123)) % 0.87/1.14 (define @t1127 () (tptp.in @t4 @t1123)) % 0.87/1.14 (define @t1128 () (tptp.in @t19 @t977)) % 0.87/1.14 (define @t1129 () (forall @t135 @t1128)) % 0.87/1.14 (define @t1130 () (tptp.symdiff @t2 @t1)) % 0.87/1.14 (define @t1131 () (tptp.in @t4 @t1130)) % 0.87/1.14 (define @t1132 () (not @t1131)) % 0.87/1.14 (define @t1133 () (tptp.in @t4 @t1)) % 0.87/1.14 (define @t1134 () (not @t1133)) % 0.87/1.14 (define @t1135 () (and @t1035 @t1133)) % 0.87/1.14 (define @t1136 () (and @t1034 @t1134)) % 0.87/1.14 (define @t1137 () (tptp.subset @t2 @t1)) % 0.87/1.14 (define @t1138 () (tptp.setminus @t2 @t1)) % 0.87/1.14 (define @t1139 () (= tptp.emptyset @t1138)) % 0.87/1.14 (define @t1140 () (tptp.subset @t1138 @t2)) % 0.87/1.14 (define @t1141 () (tptp.in @t4 @t1138)) % 0.87/1.14 (define @t1142 () (not @t1141)) % 0.87/1.14 (define @t1143 () (not @t1137)) % 0.87/1.14 (define @t1144 () (tptp.binintersect @t2 @t104)) % 0.87/1.14 (define @t1145 () (tptp.binintersect @t2 @t1)) % 0.87/1.14 (define @t1146 () (tptp.binunion @t1145 @t1144)) % 0.87/1.14 (define @t1147 () (tptp.binunion @t1 @t104)) % 0.87/1.14 (define @t1148 () (tptp.binintersect @t2 @t1147)) % 0.87/1.14 (define @t1149 () (= @t2 @t1145)) % 0.87/1.14 (define @t1150 () (= @t1 @t1145)) % 0.87/1.14 (define @t1151 () (tptp.subset @t1 @t2)) % 0.87/1.14 (define @t1152 () (not @t1151)) % 0.87/1.14 (define @t1153 () (tptp.subset @t1145 @t1)) % 0.87/1.14 (define @t1154 () (forall @t9 (or @t1035 @t1134))) % 0.87/1.14 (define @t1155 () (not @t1154)) % 0.87/1.14 (define @t1156 () (tptp.in @t4 @t1145)) % 0.87/1.14 (define @t1157 () (not @t1156)) % 0.87/1.14 (define @t1158 () (tptp.subset @t1145 @t2)) % 0.87/1.14 (define @t1159 () (tptp.subset @t104 @t1145)) % 0.87/1.14 (define @t1160 () (tptp.subset @t104 @t1)) % 0.87/1.14 (define @t1161 () (tptp.subset @t104 @t2)) % 0.87/1.14 (define @t1162 () (tptp.subset @t1 @t1090)) % 0.87/1.14 (define @t1163 () (tptp.subset @t2 @t1090)) % 0.87/1.14 (define @t1164 () (tptp.in @t4 @t1090)) % 0.87/1.14 (define @t1165 () (not @t1164)) % 0.87/1.14 (define @t1166 () (forall @t245 (or @t1165 @t1034 @t1133))) % 0.87/1.14 (define @t1167 () (tptp.powerset @t1)) % 0.87/1.14 (define @t1168 () (tptp.subset @t1118 @t1167)) % 0.87/1.14 (define @t1169 () (tptp.in @t2 @t1118)) % 0.87/1.14 (define @t1170 () (tptp.in @t1 @t1118)) % 0.87/1.14 (define @t1171 () (not @t1170)) % 0.87/1.14 (define @t1172 () (tptp.subset @t2 tptp.emptyset)) % 0.87/1.14 (define @t1173 () (tptp.in @t2 @t1167)) % 0.87/1.14 (define @t1174 () (tptp.setadjoin @t4 @t1)) % 0.87/1.14 (define @t1175 () (tptp.subset @t2 @t1174)) % 0.87/1.14 (define @t1176 () (tptp.setadjoin @t4 @t2)) % 0.87/1.14 (define @t1177 () (tptp.subset @t2 @t1176)) % 0.87/1.14 (define @t1178 () (tptp.subset @t2 @t104)) % 0.87/1.14 (define @t1179 () (tptp.subset @t1 @t104)) % 0.87/1.14 (define @t1180 () (tptp.subset @t2 @t2)) % 0.87/1.14 (define @t1181 () (=> (forall @t64 @t1180) (=> (forall @t455 (or @t1143 (not @t1179) @t1178)) (=> (forall @t459 @t1177) (=> (forall @t249 (or @t1143 @t1175)) (=> (forall @t12 (or @t1143 @t1173)) (=> (forall @t12 (or @t1143 @t1152 @t3)) (=> (forall @t64 (or (not @t1172) @t196)) (=> (forall @t12 (or @t1152 @t1170)) (=> (forall @t12 (or @t1171 @t1151)) (=> (forall @t64 @t1169) (=> (forall @t12 (or @t1143 @t1168)) (=> (forall @t309 (tptp.in @t1023 @t1118)) (=> (forall @t309 (tptp.subset @t1023 @t2)) (=> (forall @t245 (or @t1035 @t1164)) (=> @t1129 (=> (forall @t245 (or @t1134 @t1164)) (=> @t1166 (=> @t1166 (=> (forall @t12 @t1163) (=> (forall @t12 @t1162) (=> (forall @t245 (or @t1035 @t1134 @t1156)) (=> (forall @t455 (or (not @t1161) (not @t1160) @t1159)) (=> (forall @t245 (or @t1157 @t1034)) (=> (forall @t12 @t1158) (=> (forall @t12 (or @t1143 @t1149)) (=> (forall @t12 (or (not @t1150) @t1151)) (=> (forall @t245 (or @t1157 @t1133)) (=> (forall @t12 (or @t1155 (= tptp.emptyset @t1145))) (=> (forall @t12 @t1153) (=> (forall @t12 (or @t1152 @t1150)) (=> (forall @t12 (or (not @t1149) @t1137)) (=> (forall @t455 (= @t1148 @t1146)) (=> (forall @t245 (or @t1035 @t1133 @t1141)) (=> (forall @t245 (or @t1142 @t1034)) (=> (forall @t245 (or @t1142 @t1134)) (=> (forall @t12 (or @t1143 @t1139)) (=> (forall @t245 (or @t1141 @t1035 @t1133)) (=> (forall @t245 (or @t1141 @t1133 @t1035)) (=> (forall @t245 (or @t1034 @t1142)) (=> (forall @t245 (or @t1134 @t1142)) (=> (forall @t12 @t1140) (=> (forall @t12 (or (not @t1139) @t1137)) (=> (forall @t245 (or @t1132 @t1136 @t1135)) (=> (forall @t245 (or @t1035 @t1133 @t1131)) (=> (forall @t245 (or @t1034 @t1134 @t1131)) (=> (forall @t245 (or @t1035 @t1134 @t1132)) (=> (forall @t245 (or @t1034 @t1133 @t1132)) (=> @t1129 (=> (forall @t135 @t1127) (=> (forall @t135 @t1126) (=> @t1125 (=> @t1125 (=> (forall @t46 (or @t1035 @t1120)) (=> (forall @t46 (or @t1035 @t1119)) (=> (forall @t245 (or @t1035 @t1117)) (=> @t1116 (=> (forall @t1113 @t1112) (=> (forall @t1108 @t1107) (=> (forall @t1103 @t1102) (=> @t1098 (=> @t1098 (=> (forall @t1089 @t1088) (=> (forall @t684 (or @t998 @t1084)) (=> (forall @t684 (or @t998 @t1078)) (=> (forall @t46 (or @t1071 @t1068)) (=> (forall @t64 @t1064) (=> (forall @t64 @t1063) (=> (forall @t9 (= @t4 @t1060)) (=> @t1042 (=> (forall @t1059 (or @t1058 @t1056 (not (= @t1023 @t1055)))) (=> (forall @t159 (or @t1035 @t1033 @t1053 @t1047)) (=> @t1042 (=> (forall @t135 (or (not (= @t981 @t976)) @t129)) (=> (forall @t295 (or (not @t1019) @t739)) (=> (forall @t1018 @t1017) (=> (forall @t1005 @t1004) (=> (forall @t135 (= @t4 @t999)) (=> (forall @t684 (or @t998 @t995)) (=> @t993 (=> @t993 (=> (forall @t70 @t988) (=> (forall @t70 @t987) (=> (forall @t985 @t984) @t978)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) % 0.87/1.14 (define @t1182 () (tptp.subset @t1 @t1)) % 0.87/1.14 (define @t1183 () (forall @t41 @t1182)) % 0.87/1.14 (define @t1184 () (forall @t245 (or @t1035 @t1133 @t1143))) % 0.87/1.14 (define @t1185 () (forall @t245 (or @t1143 @t1133 @t1035))) % 0.87/1.14 (define @t1186 () (forall @t245 (or @t1143 @t1035 @t1133))) % 0.87/1.14 (define @t1187 () (tptp.subset tptp.emptyset @t2)) % 0.87/1.14 (define @t1188 () (forall @t64 @t1187)) % 0.87/1.14 (define @t1189 () (forall @t9 (or @t1035 @t1133))) % 0.87/1.14 (define @t1190 () (not @t1189)) % 0.87/1.14 (define @t1191 () (forall @t12 (or @t1190 @t1137))) % 0.87/1.14 (define @t1192 () (@var "BOUND_VARIABLE_10253" (-> $$unsorted Bool))) % 0.87/1.14 (define @t1193 () (tptp.dsetconstr @t1 @t1192)) % 0.87/1.14 (define @t1194 () (@var "BOUND_VARIABLE_10255" (-> $$unsorted Bool))) % 0.87/1.14 (define @t1195 () (tptp.dsetconstr @t1 @t1194)) % 0.87/1.14 (define @t1196 () (= @t1195 @t1193)) % 0.87/1.14 (define @t1197 () (= (_ @t1192 @t4) (_ @t1194 @t4))) % 0.87/1.14 (define @t1198 () (or @t1134 @t1197)) % 0.87/1.14 (define @t1199 () (not (forall @t9 @t1198))) % 0.87/1.14 (define @t1200 () (or @t1199 @t1196)) % 0.87/1.14 (define @t1201 () (@list @t1 @t1192 @t1194)) % 0.87/1.14 (define @t1202 () (forall @t1201 @t1200)) % 0.87/1.14 (define @t1203 () (@var "BOUND_VARIABLE_10192" $$unsorted)) % 0.87/1.14 (define @t1204 () (_ @t366 @t19)) % 0.87/1.14 (define @t1205 () (not @t1204)) % 0.87/1.14 (define @t1206 () (not (_ @t366 @t1203))) % 0.87/1.14 (define @t1207 () (@var "BOUND_VARIABLE_10183" $$unsorted)) % 0.87/1.14 (define @t1208 () (not (_ @t143 @t1207))) % 0.87/1.14 (define @t1209 () (tptp.descr @t143)) % 0.87/1.14 (define @t1210 () (= @t1209 (tptp.descr @t366))) % 0.87/1.14 (define @t1211 () (= @t1048 @t1204)) % 0.87/1.14 (define @t1212 () (forall @t70 @t1211)) % 0.87/1.14 (define @t1213 () (not @t1212)) % 0.87/1.14 (define @t1214 () (@list @t143 @t366 @t1207 @t1203)) % 0.87/1.14 (define @t1215 () (forall @t1214 (or @t1213 @t1210 @t1208 (not (forall @t70 (or @t1049 (= @t19 @t1207)))) @t1206 (not (forall @t70 (or @t1205 (= @t19 @t1203))))))) % 0.87/1.14 (define @t1216 () (@var "BOUND_VARIABLE_10025" $$unsorted)) % 0.87/1.14 (define @t1217 () (@var "BOUND_VARIABLE_10023" $$unsorted)) % 0.87/1.14 (define @t1218 () (= @t1217 @t1216)) % 0.87/1.14 (define @t1219 () (not (_ @t143 @t1216))) % 0.87/1.14 (define @t1220 () (not (_ @t143 @t1217))) % 0.87/1.14 (define @t1221 () (@var "BOUND_VARIABLE_10014" $$unsorted)) % 0.87/1.14 (define @t1222 () (not (_ @t143 @t1221))) % 0.87/1.14 (define @t1223 () (@list @t143 @t1221 @t1217 @t1216)) % 0.87/1.14 (define @t1224 () (forall @t1223 (or @t1222 (not (forall @t70 (or @t1049 (= @t19 @t1221)))) @t1220 @t1219 @t1218))) % 0.87/1.14 (define @t1225 () (not (forall @t70 (or @t1205 @t129)))) % 0.87/1.14 (define @t1226 () (_ @t366 @t4)) % 0.87/1.14 (define @t1227 () (forall @t9 (or (not @t1226) @t1225))) % 0.87/1.14 (define @t1228 () (not @t1227)) % 0.87/1.14 (define @t1229 () (forall @t70 (or @t1049 @t129))) % 0.87/1.14 (define @t1230 () (not @t1229)) % 0.87/1.14 (define @t1231 () (forall @t9 (or @t1033 @t1230))) % 0.87/1.14 (define @t1232 () (not @t1231)) % 0.87/1.14 (define @t1233 () (= @t1232 @t1228)) % 0.87/1.14 (define @t1234 () (forall @t376 (or @t1213 @t1233))) % 0.87/1.14 (define @t1235 () (@var "BOUND_VARIABLE_9921" $$unsorted)) % 0.87/1.14 (define @t1236 () (@list @t143 @t1235)) % 0.87/1.14 (define @t1237 () (forall @t1236 (or (not (forall @t70 (= @t1048 (= @t19 @t1235)))) @t1232))) % 0.87/1.14 (define @t1238 () (forall @t135 (or @t1033 @t1049 @t129))) % 0.87/1.14 (define @t1239 () (not @t1238)) % 0.87/1.14 (define @t1240 () (@var "BOUND_VARIABLE_9905" $$unsorted)) % 0.87/1.14 (define @t1241 () (not (_ @t143 @t1240))) % 0.87/1.14 (define @t1242 () (or @t1241 @t1239 @t1232)) % 0.87/1.14 (define @t1243 () (forall (@list @t143 @t1240) @t1242)) % 0.87/1.14 (define @t1244 () (=> @t1243 (=> @t1237 (=> @t1224 (=> @t1234 (=> @t1224 (=> @t1215 (=> @t1202 (=> @t1191 (=> @t1183 (=> @t1183 (=> @t1191 (=> @t1188 (=> @t1186 (=> @t1185 (=> @t1184 (=> @t1183 @t1181))))))))))))))))) % 0.87/1.14 (define @t1245 () (tptp.prop2set true)) % 0.87/1.14 (define @t1246 () (tptp.set2prop @t1245)) % 0.87/1.14 (define @t1247 () (=> @t1246 @t1244)) % 0.87/1.14 (define @t1248 () (tptp.in tptp.emptyset @t1245)) % 0.87/1.14 (define @t1249 () (=> @t1248 @t1247)) % 0.87/1.14 (define @t1250 () (tptp.in @t4 tptp.emptyset)) % 0.87/1.14 (define @t1251 () (not @t1250)) % 0.87/1.14 (define @t1252 () (forall @t312 (or @t1251 @t1032))) % 0.87/1.14 (define @t1253 () (=> @t1252 @t1249)) % 0.87/1.14 (define @t1254 () (@var "BOUND_VARIABLE_9814" $$unsorted)) % 0.87/1.14 (define @t1255 () (not (_ @t143 @t1254))) % 0.87/1.14 (define @t1256 () (not (tptp.in @t1254 @t2))) % 0.87/1.14 (define @t1257 () (not (= tptp.emptyset @t1023))) % 0.87/1.14 (define @t1258 () (or @t1257 @t1256 @t1255)) % 0.87/1.14 (define @t1259 () (@list @t2 @t143 @t1254)) % 0.87/1.14 (define @t1260 () (forall @t1259 @t1258)) % 0.87/1.14 (define @t1261 () (=> @t1260 @t1253)) % 0.87/1.14 (define @t1262 () (=> @t1129 @t1261)) % 0.87/1.14 (define @t1263 () (tptp.in @t4 @t977)) % 0.87/1.14 (define @t1264 () (forall @t135 @t1263)) % 0.87/1.14 (define @t1265 () (=> @t1264 @t1262)) % 0.87/1.14 (define @t1266 () (=> @t1116 @t1265)) % 0.87/1.14 (define @t1267 () (tptp.in @t19 @t981)) % 0.87/1.14 (define @t1268 () (tptp.in @t4 @t976)) % 0.87/1.14 (define @t1269 () (not @t1268)) % 0.87/1.14 (define @t1270 () (forall @t135 (or @t1269 @t1267))) % 0.87/1.14 (define @t1271 () (=> @t1270 @t1266)) % 0.87/1.14 (define @t1272 () (tptp.in @t19 @t976)) % 0.87/1.14 (define @t1273 () (forall @t70 @t1272)) % 0.87/1.14 (define @t1274 () (=> @t1273 @t1271)) % 0.87/1.14 (define @t1275 () (forall @t135 (or @t129 (not @t1267)))) % 0.87/1.14 (define @t1276 () (=> @t1275 @t1274)) % 0.87/1.14 (define @t1277 () (forall @t135 (or @t1269 @t129))) % 0.87/1.14 (define @t1278 () (=> @t1277 @t1276)) % 0.87/1.14 (define @t1279 () (forall @t9 @t1035)) % 0.87/1.14 (define @t1280 () (not @t1279)) % 0.87/1.14 (define @t1281 () (forall @t64 (or @t196 @t1280))) % 0.87/1.14 (define @t1282 () (=> @t1281 @t1278)) % 0.87/1.14 (define @t1283 () (@var "BOUND_VARIABLE_9703" $$unsorted)) % 0.87/1.14 (define @t1284 () (not (_ @t143 @t1283))) % 0.87/1.14 (define @t1285 () (forall @t70 (= @t129 @t1048))) % 0.87/1.14 (define @t1286 () (forall @t9 (not @t1285))) % 0.87/1.14 (define @t1287 () (not @t1286)) % 0.87/1.14 (define @t1288 () (@list @t143 @t1283)) % 0.87/1.14 (define @t1289 () (forall @t1288 (or @t1287 @t1284 (not (forall @t70 (or @t1049 (= @t19 @t1283))))))) % 0.87/1.14 (define @t1290 () (=> @t1289 @t1282)) % 0.87/1.14 (define @t1291 () (tptp.powerset @t1069)) % 0.87/1.14 (define @t1292 () (tptp.in @t4 @t1291)) % 0.87/1.14 (define @t1293 () (forall @t46 (or @t1035 @t1292))) % 0.87/1.14 (define @t1294 () (=> @t1293 @t1290)) % 0.87/1.14 (define @t1295 () (tptp.in @t1 @t2)) % 0.87/1.14 (define @t1296 () (not @t1295)) % 0.87/1.14 (define @t1297 () (forall @t41 (or @t1134 @t1296))) % 0.87/1.14 (define @t1298 () (not @t1297)) % 0.87/1.14 (define @t1299 () (forall @t46 (or @t1071 @t1298))) % 0.87/1.14 (define @t1300 () (=> @t1299 @t1294)) % 0.87/1.14 (define @t1301 () (forall @t249 (or @t1134 @t1296 @t1070))) % 0.87/1.14 (define @t1302 () (=> @t1301 @t1300)) % 0.87/1.14 (define @t1303 () (forall @t245 (or @t1171 @t1134 @t1034))) % 0.87/1.14 (define @t1304 () (=> @t1303 @t1302)) % 0.87/1.14 (define @t1305 () (tptp.in tptp.emptyset @t1118)) % 0.87/1.14 (define @t1306 () (forall @t64 @t1305)) % 0.87/1.14 (define @t1307 () (=> @t1306 @t1304)) % 0.87/1.14 (define @t1308 () (=> @t1306 @t1307)) % 0.87/1.14 (define @t1309 () (forall @t9 (or @t1134 @t1034))) % 0.87/1.14 (define @t1310 () (not @t1309)) % 0.87/1.14 (define @t1311 () (forall @t12 (or @t1310 @t1170))) % 0.87/1.14 (define @t1312 () (=> @t1311 @t1308)) % 0.87/1.14 (define @t1313 () (@var "BOUND_VARIABLE_31434" $$unsorted)) % 0.87/1.14 (define @t1314 () (lambda (@list @t1313) true)) % 0.87/1.14 (define @t1315 () (tptp.dsetconstr @t2 @t1314)) % 0.87/1.14 (define @t1316 () (forall @t64 (= @t2 @t1315))) % 0.87/1.14 (define @t1317 () (=> @t1316 @t1312)) % 0.87/1.14 (define @t1318 () (tptp.in @t19 @t1176)) % 0.87/1.14 (define @t1319 () (forall @t28 (or (not @t1318) @t129 @t1050))) % 0.87/1.14 (define @t1320 () (=> @t1319 @t1317)) % 0.87/1.14 (define @t1321 () (=> @t1319 @t1320)) % 0.87/1.14 (define @t1322 () (forall @t28 (or @t1051 @t1318))) % 0.87/1.14 (define @t1323 () (=> @t1322 @t1321)) % 0.87/1.14 (define @t1324 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.87/1.14 (define @t1325 () (tptp.in tptp.emptyset @t1324)) % 0.87/1.14 (define @t1326 () (=> @t221 @t1323)) % 0.87/1.14 (define @t1327 () (tptp.setadjoin @t4 @t19)) % 0.87/1.14 (define @t1328 () (tptp.in @t4 @t1327)) % 0.87/1.14 (define @t1329 () (forall @t135 @t1328)) % 0.87/1.14 (define @t1330 () (=> @t1329 @t1326)) % 0.87/1.14 (define @t1331 () (@var "BOUND_VARIABLE_9546" $$unsorted)) % 0.87/1.14 (define @t1332 () (not (tptp.in @t1331 tptp.emptyset))) % 0.87/1.14 (define @t1333 () (@list @t1331)) % 0.87/1.14 (define @t1334 () (forall @t1333 @t1332)) % 0.87/1.14 (define @t1335 () (=> @t1334 @t1330)) % 0.87/1.14 (define @t1336 () (forall @t159 (or @t1035 @t1033 @t1257))) % 0.87/1.14 (define @t1337 () (=> @t1336 @t1335)) % 0.87/1.14 (define @t1338 () (=> @t1281 @t1337)) % 0.87/1.14 (define @t1339 () (forall @t159 (or @t1035 (= @t1032 @t1024)))) % 0.87/1.14 (define @t1340 () (=> @t1339 @t1338)) % 0.87/1.14 (define @t1341 () (forall @t64 (or @t1280 @t196))) % 0.87/1.14 (define @t1342 () (=> @t1341 @t1340)) % 0.87/1.14 (define @t1343 () (=> @t1341 @t1342)) % 0.87/1.14 (define @t1344 () (or @t1190 @t1310 @t3)) % 0.87/1.14 (define @t1345 () (forall @t12 @t1344)) % 0.87/1.14 (define @t1346 () (=> @t1345 @t1343)) % 0.87/1.14 (define @t1347 () (@var "BOUND_VARIABLE_9443" $$unsorted)) % 0.87/1.14 (define @t1348 () (not (_ @t143 @t1347))) % 0.87/1.14 (define @t1349 () (forall @t9 @t1033)) % 0.87/1.14 (define @t1350 () (not @t1349)) % 0.87/1.14 (define @t1351 () (@list @t143 @t1347)) % 0.87/1.14 (define @t1352 () (forall @t1351 (or @t1350 @t1348 (not (forall @t70 (or @t1049 (= @t19 @t1347))))))) % 0.87/1.14 (define @t1353 () (=> @t1352 @t1346)) % 0.87/1.14 (define @t1354 () (forall @t9 @t1251)) % 0.87/1.14 (define @t1355 () (=> @t1354 @t1353)) % 0.87/1.14 (define @t1356 () (=> @t1354 @t1355)) % 0.87/1.14 (define @t1357 () (=> @t1354 @t1356)) % 0.87/1.14 (define @t1358 () (not (tptp.in @t4 (tptp.prop2set false)))) % 0.87/1.14 (define @t1359 () (forall @t9 @t1358)) % 0.87/1.14 (define @t1360 () (=> @t1359 @t1357)) % 0.87/1.14 (define @t1361 () (forall @t159 (or @t1025 @t1032))) % 0.87/1.14 (define @t1362 () (=> @t1361 @t1360)) % 0.87/1.14 (define @t1363 () (forall @t159 (or @t1025 @t1034))) % 0.87/1.14 (define @t1364 () (=> @t1363 @t1362)) % 0.87/1.14 (define @t1365 () (forall @t159 (or @t1035 @t1033 @t1024))) % 0.87/1.14 (define @t1366 () (=> @t1365 @t1364)) % 0.87/1.14 (define @t1367 () (@var "BOUND_VARIABLE_9345" $$unsorted)) % 0.87/1.14 (define @t1368 () (not (_ @t143 @t1367))) % 0.87/1.14 (define @t1369 () (_ @t143 @t1209)) % 0.87/1.14 (define @t1370 () (@list @t143 @t1367)) % 0.87/1.14 (define @t1371 () (forall @t1370 (or @t1369 @t1368 (not (forall @t70 (or @t1049 (= @t19 @t1367))))))) % 0.87/1.14 (define @t1372 () (=> @t1371 @t1366)) % 0.87/1.14 (define @t1373 () (@var "BOUND_VARIABLE_9265" $$unsorted)) % 0.87/1.14 (define @t1374 () (tptp.in @t1373 @t95)) % 0.87/1.14 (define @t1375 () (not (tptp.in @t1373 @t93))) % 0.87/1.14 (define @t1376 () (tptp.in @t4 @t93)) % 0.87/1.14 (define @t1377 () (tptp.in @t93 @t1)) % 0.87/1.14 (define @t1378 () (not @t1377)) % 0.87/1.14 (define @t1379 () (or @t1378 @t1376 @t1375 @t1374)) % 0.87/1.14 (define @t1380 () (@list @t93 @t1373)) % 0.87/1.14 (define @t1381 () (forall @t1380 @t1379)) % 0.87/1.14 (define @t1382 () (not @t1381)) % 0.87/1.14 (define @t1383 () (tptp.in @t19 @t104)) % 0.87/1.14 (define @t1384 () (tptp.in @t19 @t95)) % 0.87/1.14 (define @t1385 () (forall @t70 (or (not @t1384) (not @t1383)))) % 0.87/1.14 (define @t1386 () (not @t1385)) % 0.87/1.14 (define @t1387 () (tptp.in @t4 @t104)) % 0.87/1.14 (define @t1388 () (not @t1387)) % 0.87/1.14 (define @t1389 () (tptp.in @t95 @t1)) % 0.87/1.14 (define @t1390 () (not @t1389)) % 0.87/1.14 (define @t1391 () (not (forall @t112 (or @t1390 @t1388 @t1386 @t1382)))) % 0.87/1.14 (define @t1392 () (@var "BOUND_VARIABLE_9294" $$unsorted)) % 0.87/1.14 (define @t1393 () (not (tptp.in @t1392 @t104))) % 0.87/1.14 (define @t1394 () (forall @t9 (or @t1388 @t1034))) % 0.87/1.14 (define @t1395 () (not @t1394)) % 0.87/1.14 (define @t1396 () (or @t1395 @t1393 @t1391)) % 0.87/1.14 (define @t1397 () (forall (@list @t104 @t1392) @t1396)) % 0.87/1.14 (define @t1398 () (not @t1397)) % 0.87/1.14 (define @t1399 () (@var "BOUND_VARIABLE_9217" $$unsorted)) % 0.87/1.14 (define @t1400 () (tptp.in @t1399 @t104)) % 0.87/1.14 (define @t1401 () (not (tptp.in @t1399 @t95))) % 0.87/1.14 (define @t1402 () (@var "BOUND_VARIABLE_9211" $$unsorted)) % 0.87/1.14 (define @t1403 () (tptp.in @t1402 @t95)) % 0.87/1.14 (define @t1404 () (not (tptp.in @t1402 @t104))) % 0.87/1.14 (define @t1405 () (tptp.in @t104 @t1)) % 0.87/1.14 (define @t1406 () (not @t1405)) % 0.87/1.14 (define @t1407 () (or @t1406 @t1390 @t1404 @t1403 @t1401 @t1400)) % 0.87/1.14 (define @t1408 () (@list @t104 @t95 @t1402 @t1399)) % 0.87/1.14 (define @t1409 () (forall @t1408 @t1407)) % 0.87/1.14 (define @t1410 () (not @t1409)) % 0.87/1.14 (define @t1411 () (forall @t118 (or @t1406 (= @t1387 @t1383)))) % 0.87/1.14 (define @t1412 () (not @t1411)) % 0.87/1.14 (define @t1413 () (forall @t135 (or @t1035 @t1051 @t1412 @t129))) % 0.87/1.14 (define @t1414 () (not @t1413)) % 0.87/1.14 (define @t1415 () (@var "BOUND_VARIABLE_9160" $$unsorted)) % 0.87/1.14 (define @t1416 () (tptp.in @t1415 @t2)) % 0.87/1.14 (define @t1417 () (not (tptp.in @t1415 @t104))) % 0.87/1.14 (define @t1418 () (or @t1406 @t1417 @t1416)) % 0.87/1.14 (define @t1419 () (@list @t104 @t1415)) % 0.87/1.14 (define @t1420 () (forall @t1419 @t1418)) % 0.87/1.14 (define @t1421 () (not @t1420)) % 0.87/1.14 (define @t1422 () (or @t1421 @t1414 @t1410 @t1398)) % 0.87/1.14 (define @t1423 () (forall @t64 (not (forall @t41 @t1422)))) % 0.87/1.14 (define @t1424 () (=> @t1423 @t1372)) % 0.87/1.14 (define @t1425 () (forall @t9 (or @t1134 @t1035))) % 0.87/1.14 (define @t1426 () (not @t1425)) % 0.87/1.14 (define @t1427 () (not (forall @t41 (or @t1296 @t1426)))) % 0.87/1.14 (define @t1428 () (@var "BOUND_VARIABLE_9135" $$unsorted)) % 0.87/1.14 (define @t1429 () (not (tptp.in @t1428 @t2))) % 0.87/1.14 (define @t1430 () (or @t1429 @t1427)) % 0.87/1.14 (define @t1431 () (forall (@list @t2 @t1428) @t1430)) % 0.87/1.14 (define @t1432 () (=> @t1431 @t1424)) % 0.87/1.14 (define @t1433 () (_ @t67 @t19 @t4)) % 0.87/1.14 (define @t1434 () (not (forall @t70 (or @t1051 (not @t1433))))) % 0.87/1.14 (define @t1435 () (forall @t9 (= @t1133 @t1434))) % 0.87/1.14 (define @t1436 () (not (forall @t41 (not @t1435)))) % 0.87/1.14 (define @t1437 () (@var "BOUND_VARIABLE_9025" $$unsorted)) % 0.87/1.14 (define @t1438 () (= @t19 @t1437)) % 0.87/1.14 (define @t1439 () (_ @t67 @t4 @t19)) % 0.87/1.14 (define @t1440 () (not (forall @t70 (or (not @t1439) @t1438)))) % 0.87/1.14 (define @t1441 () (_ @t67 @t4 @t1437)) % 0.87/1.14 (define @t1442 () (@list @t1437)) % 0.87/1.14 (define @t1443 () (not (forall @t1442 (or (not @t1441) @t1440)))) % 0.87/1.14 (define @t1444 () (forall @t9 (or @t1035 @t1443))) % 0.87/1.14 (define @t1445 () (forall @t81 (or (not @t1444) @t1436))) % 0.87/1.14 (define @t1446 () (=> @t1445 @t1432)) % 0.87/1.14 (define @t1447 () (@var "BOUND_VARIABLE_9006" $$unsorted)) % 0.87/1.14 (define @t1448 () (tptp.in @t1447 @t2)) % 0.87/1.14 (define @t1449 () (not (tptp.in @t1447 tptp.omega))) % 0.87/1.14 (define @t1450 () (tptp.setadjoin @t4 @t4)) % 0.87/1.14 (define @t1451 () (tptp.in @t1450 @t2)) % 0.87/1.14 (define @t1452 () (tptp.in @t4 tptp.omega)) % 0.87/1.14 (define @t1453 () (not @t1452)) % 0.87/1.14 (define @t1454 () (forall @t9 (or @t1453 @t1035 @t1451))) % 0.87/1.14 (define @t1455 () (not @t1454)) % 0.87/1.14 (define @t1456 () (tptp.in tptp.emptyset @t2)) % 0.87/1.14 (define @t1457 () (not @t1456)) % 0.87/1.14 (define @t1458 () (or @t1457 @t1455 @t1449 @t1448)) % 0.87/1.14 (define @t1459 () (@list @t2 @t1447)) % 0.87/1.14 (define @t1460 () (forall @t1459 @t1458)) % 0.87/1.14 (define @t1461 () (=> @t1460 @t1446)) % 0.87/1.14 (define @t1462 () (tptp.in @t1450 tptp.omega)) % 0.87/1.14 (define @t1463 () (forall @t9 (or @t1453 @t1462))) % 0.87/1.14 (define @t1464 () (=> @t1463 @t1461)) % 0.87/1.14 (define @t1465 () (tptp.in tptp.emptyset tptp.omega)) % 0.87/1.14 (define @t1466 () (=> @t50 @t1464)) % 0.87/1.14 (define @t1467 () (forall @t46 (= @t1070 @t1298))) % 0.87/1.14 (define @t1468 () (=> @t1467 @t1466)) % 0.87/1.14 (define @t1469 () (forall @t12 (= @t1309 @t1170))) % 0.87/1.14 (define @t1470 () (=> @t1469 @t1468)) % 0.87/1.14 (define @t1471 () (or @t129 @t1050)) % 0.87/1.14 (define @t1472 () (forall @t28 (= @t1318 @t1471))) % 0.87/1.14 (define @t1473 () (=> @t1472 @t1470)) % 0.87/1.14 (define @t1474 () (=> @t1354 @t1473)) % 0.87/1.14 (define @t1475 () (forall @t9 (= @t1034 @t1133))) % 0.87/1.14 (define @t1476 () (forall @t12 (or (not @t1475) @t3))) % 0.87/1.14 (define @t1477 () (=> @t1476 @t1474)) % 0.87/1.14 (define @t1478 () (=> @t1183 (=> true @t1181))) % 0.87/1.14 (define @t1479 () (=> @t1184 @t1478)) % 0.87/1.14 (define @t1480 () (=> @t1185 @t1479)) % 0.87/1.14 (define @t1481 () (=> @t1186 @t1480)) % 0.87/1.14 (define @t1482 () (=> @t1188 @t1481)) % 0.87/1.14 (define @t1483 () (=> @t1191 @t1482)) % 0.87/1.14 (define @t1484 () (=> @t1183 @t1483)) % 0.87/1.14 (define @t1485 () (=> @t1183 @t1484)) % 0.87/1.14 (define @t1486 () (=> @t1191 @t1485)) % 0.87/1.14 (define @t1487 () (=> @t1202 @t1486)) % 0.87/1.14 (define @t1488 () (=> @t1215 @t1487)) % 0.87/1.14 (define @t1489 () (=> @t1224 @t1488)) % 0.87/1.14 (define @t1490 () (=> true (=> true @t1489))) % 0.87/1.14 (define @t1491 () (=> true @t1490)) % 0.87/1.14 (define @t1492 () (=> true @t1491)) % 0.87/1.14 (define @t1493 () (=> true @t1492)) % 0.87/1.14 (define @t1494 () (=> @t1234 @t1493)) % 0.87/1.14 (define @t1495 () (=> @t1224 @t1494)) % 0.87/1.14 (define @t1496 () (=> true (=> true @t1495))) % 0.87/1.14 (define @t1497 () (=> @t1237 @t1496)) % 0.87/1.14 (define @t1498 () (=> @t1243 @t1497)) % 0.87/1.14 (define @t1499 () (=> true (=> true @t1498))) % 0.87/1.14 (define @t1500 () (=> true @t1499)) % 0.87/1.14 (define @t1501 () (=> @t1246 @t1500)) % 0.87/1.14 (define @t1502 () (=> @t1248 @t1501)) % 0.87/1.14 (define @t1503 () (=> true (=> true @t1502))) % 0.87/1.14 (define @t1504 () (=> true @t1503)) % 0.87/1.14 (define @t1505 () (=> true @t1504)) % 0.87/1.14 (define @t1506 () (=> @t1252 @t1505)) % 0.87/1.14 (define @t1507 () (=> @t1260 @t1506)) % 0.87/1.14 (define @t1508 () (=> @t1129 @t1507)) % 0.87/1.14 (define @t1509 () (=> @t1264 @t1508)) % 0.87/1.14 (define @t1510 () (=> @t1116 @t1509)) % 0.87/1.14 (define @t1511 () (=> @t1270 @t1510)) % 0.87/1.14 (define @t1512 () (=> @t1273 @t1511)) % 0.87/1.14 (define @t1513 () (=> @t1275 @t1512)) % 0.87/1.14 (define @t1514 () (=> @t1277 @t1513)) % 0.87/1.14 (define @t1515 () (=> @t1281 @t1514)) % 0.87/1.14 (define @t1516 () (=> @t1289 @t1515)) % 0.87/1.14 (define @t1517 () (=> @t1293 @t1516)) % 0.87/1.14 (define @t1518 () (=> @t1299 @t1517)) % 0.87/1.14 (define @t1519 () (=> @t1301 @t1518)) % 0.87/1.14 (define @t1520 () (=> @t1303 @t1519)) % 0.87/1.14 (define @t1521 () (=> @t1306 @t1520)) % 0.87/1.14 (define @t1522 () (=> @t1306 @t1521)) % 0.87/1.14 (define @t1523 () (=> @t1311 @t1522)) % 0.87/1.14 (define @t1524 () (=> @t1316 @t1523)) % 0.87/1.14 (define @t1525 () (=> @t1319 @t1524)) % 0.87/1.14 (define @t1526 () (=> @t1319 @t1525)) % 0.87/1.14 (define @t1527 () (=> @t1322 @t1526)) % 0.87/1.14 (define @t1528 () (=> @t221 @t1527)) % 0.87/1.14 (define @t1529 () (=> @t1329 @t1528)) % 0.87/1.14 (define @t1530 () (=> @t1334 @t1529)) % 0.87/1.14 (define @t1531 () (=> @t1336 @t1530)) % 0.87/1.14 (define @t1532 () (=> @t1281 @t1531)) % 0.87/1.14 (define @t1533 () (=> @t1339 @t1532)) % 0.87/1.14 (define @t1534 () (=> @t1341 @t1533)) % 0.87/1.14 (define @t1535 () (=> @t1341 @t1534)) % 0.87/1.14 (define @t1536 () (=> @t1345 @t1535)) % 0.87/1.14 (define @t1537 () (=> @t1352 @t1536)) % 0.87/1.14 (define @t1538 () (=> @t1354 @t1537)) % 0.87/1.14 (define @t1539 () (=> @t1354 @t1538)) % 0.87/1.14 (define @t1540 () (=> @t1354 @t1539)) % 0.87/1.14 (define @t1541 () (=> @t1359 @t1540)) % 0.87/1.14 (define @t1542 () (=> @t1361 (=> true @t1541))) % 0.87/1.14 (define @t1543 () (=> @t1363 @t1542)) % 0.87/1.14 (define @t1544 () (=> @t1365 @t1543)) % 0.87/1.14 (define @t1545 () (=> @t1371 @t1544)) % 0.87/1.14 (define @t1546 () (=> @t1423 @t1545)) % 0.87/1.14 (define @t1547 () (=> @t1431 @t1546)) % 0.87/1.14 (define @t1548 () (=> @t1445 @t1547)) % 0.87/1.14 (define @t1549 () (=> @t1460 @t1548)) % 0.87/1.14 (define @t1550 () (=> @t1463 @t1549)) % 0.87/1.14 (define @t1551 () (=> @t50 @t1550)) % 0.87/1.14 (define @t1552 () (=> @t1467 @t1551)) % 0.87/1.14 (define @t1553 () (=> @t1469 @t1552)) % 0.87/1.14 (define @t1554 () (=> @t1472 @t1553)) % 0.87/1.14 (define @t1555 () (=> @t1354 @t1554)) % 0.87/1.14 (define @t1556 () (=> @t1476 @t1555)) % 0.87/1.14 (define @t1557 () (not true)) % 0.87/1.14 (define @t1558 () (not (= @t381 @t381))) % 0.87/1.14 (define @t1559 () (or @t983 @t1558 @t785)) % 0.87/1.14 (define @t1560 () (not @t385)) % 0.87/1.14 (define @t1561 () (or @t1560 @t992 @t1560 @t785)) % 0.87/1.14 (define @t1562 () (@list @t289)) % 0.87/1.14 (define @t1563 () (or @t992 @t1560 @t785)) % 0.87/1.14 (define @t1564 () (forall @t1562 @t1563)) % 0.87/1.14 (define @t1565 () (forall @t985 @t1564)) % 0.87/1.14 (define @t1566 () (forall (@list @t4 @t19 @t381 @t289) @t1563)) % 0.87/1.14 (define @t1567 () (_ tptp.setadjoin @t981)) % 0.87/1.14 (define @t1568 () (not @t770)) % 0.87/1.14 (define @t1569 () (or @t1568 @t1560 @t785)) % 0.87/1.14 (define @t1570 () (=> tptp.setukpairinjR1 @t978)) % 0.87/1.14 (define @t1571 () (not (= @t19 @t19))) % 0.87/1.14 (define @t1572 () (or @t1571 @t987)) % 0.87/1.14 (define @t1573 () (tptp.setadjoin @t981 tptp.emptyset)) % 0.87/1.14 (define @t1574 () (= @t982 @t1573)) % 0.87/1.14 (define @t1575 () (or @t282 @t282 @t1574)) % 0.87/1.14 (define @t1576 () (or @t282 @t1574)) % 0.87/1.14 (define @t1577 () (forall @t9 @t1576)) % 0.87/1.14 (define @t1578 () (forall @t70 @t1577)) % 0.87/1.14 (define @t1579 () (@list @t19 @t4)) % 0.87/1.14 (define @t1580 () (forall @t1579 @t1576)) % 0.87/1.14 (define @t1581 () (or @t282 @t782)) % 0.87/1.14 (define @t1582 () (=> tptp.setukpairinjR12 @t1570)) % 0.87/1.14 (define @t1583 () (or @t1571 @t988)) % 0.87/1.14 (define @t1584 () (= @t981 @t977)) % 0.87/1.14 (define @t1585 () (or @t282 @t282 @t1584)) % 0.87/1.14 (define @t1586 () (or @t282 @t1584)) % 0.87/1.14 (define @t1587 () (forall @t9 @t1586)) % 0.87/1.14 (define @t1588 () (forall @t70 @t1587)) % 0.87/1.14 (define @t1589 () (forall @t1579 @t1586)) % 0.87/1.14 (define @t1590 () (= @t279 @t291)) % 0.87/1.14 (define @t1591 () (or @t282 @t1590)) % 0.87/1.14 (define @t1592 () (=> tptp.setukpairinjR11 @t1582)) % 0.87/1.14 (define @t1593 () (or @t1568 @t739)) % 0.87/1.14 (define @t1594 () (lambda @t70 (_ @t768 (_ (_ tptp.setadjoin (_ @t740 @t275)) tptp.emptyset)))) % 0.87/1.14 (define @t1595 () (_ @t969 @t289)) % 0.87/1.14 (define @t1596 () (lambda @t70 @t618)) % 0.87/1.14 (define @t1597 () (_ @t969 @t4)) % 0.87/1.14 (define @t1598 () (_ @t1597 @t19)) % 0.87/1.14 (define @t1599 () (= @t1598 (_ @t1595 @t381))) % 0.87/1.14 (define @t1600 () (=> @t1599 @t739)) % 0.87/1.14 (define @t1601 () (forall @t771 @t1600)) % 0.87/1.14 (define @t1602 () (=> tptp.setukpairinjL @t1592)) % 0.87/1.14 (define @t1603 () (=> tptp.setukpairinjL2 @t1602)) % 0.87/1.14 (define @t1604 () (not @t682)) % 0.87/1.14 (define @t1605 () (or @t1604 @t762)) % 0.87/1.14 (define @t1606 () (=> tptp.cartprodfstin @t1603)) % 0.87/1.14 (define @t1607 () (_ tptp.kfst @t618)) % 0.87/1.14 (define @t1608 () (= @t4 @t1607)) % 0.87/1.14 (define @t1609 () (= (_ tptp.kfst @t1598) @t4)) % 0.87/1.14 (define @t1610 () (forall @t135 @t1609)) % 0.87/1.14 (define @t1611 () (=> tptp.kfstpairEq @t1606)) % 0.87/1.14 (define @t1612 () (not (= @t1001 @t1001))) % 0.87/1.14 (define @t1613 () (or @t1003 @t1002 @t1612)) % 0.87/1.14 (define @t1614 () (not (= @t691 @t1001))) % 0.87/1.14 (define @t1615 () (not (tptp.in @t1000 @t691))) % 0.87/1.14 (define @t1616 () (tptp.setunion @t691)) % 0.87/1.14 (define @t1617 () (tptp.in @t1616 @t691)) % 0.87/1.14 (define @t1618 () (or @t1614 @t1617 @t1615 @t1614)) % 0.87/1.14 (define @t1619 () (or @t1617 @t1615 @t1614)) % 0.87/1.14 (define @t1620 () (forall @t695 @t1619)) % 0.87/1.14 (define @t1621 () (forall @t1005 @t1620)) % 0.87/1.14 (define @t1622 () (forall (@list @t1000 @t691) @t1619)) % 0.87/1.14 (define @t1623 () (@list @t691 @t1000)) % 0.87/1.14 (define @t1624 () (not (= @t1001 @t691))) % 0.87/1.14 (define @t1625 () (or @t1617 @t1615 @t1624)) % 0.87/1.14 (define @t1626 () (or @t1615 @t1624)) % 0.87/1.14 (define @t1627 () (or @t1626 @t1617)) % 0.87/1.14 (define @t1628 () (forall @t1623 @t1627)) % 0.87/1.14 (define @t1629 () (forall @t1005 @t1627)) % 0.87/1.14 (define @t1630 () (forall @t1005 @t1626)) % 0.87/1.14 (define @t1631 () (@list @t4)) % 0.87/1.14 (define @t1632 () (or @t1630 @t1617)) % 0.87/1.14 (define @t1633 () (forall @t9 (or @t1066 (not (= @t981 @t691))))) % 0.87/1.14 (define @t1634 () (or @t1633 @t754)) % 0.87/1.14 (define @t1635 () (not @t1633)) % 0.87/1.14 (define @t1636 () (not (= @t691 @t981))) % 0.87/1.14 (define @t1637 () (or @t1066 @t1636)) % 0.87/1.14 (define @t1638 () (forall @t9 @t1637)) % 0.87/1.14 (define @t1639 () (not @t1638)) % 0.87/1.14 (define @t1640 () (lambda @t64 (not (forall @t9 (or @t1035 (not (= @t2 @t981))))))) % 0.87/1.14 (define @t1641 () (_ @t1640 @t691)) % 0.87/1.14 (define @t1642 () (=> @t1641 @t754)) % 0.87/1.14 (define @t1643 () (forall @t695 @t1642)) % 0.87/1.14 (define @t1644 () (not @t970)) % 0.87/1.14 (define @t1645 () (or @t197 @t1644)) % 0.87/1.14 (define @t1646 () (forall @t9 (not @t971))) % 0.87/1.14 (define @t1647 () (not @t1646)) % 0.87/1.14 (define @t1648 () (=> tptp.theprop @t1611)) % 0.87/1.14 (define @t1649 () (not (= @t1008 @t1008))) % 0.87/1.14 (define @t1650 () (or @t1016 @t1011 @t1010 @t1649)) % 0.87/1.14 (define @t1651 () (not (= @t381 @t1008))) % 0.87/1.14 (define @t1652 () (not (tptp.in @t1006 @t1075))) % 0.87/1.14 (define @t1653 () (not (tptp.in @t1007 @t1075))) % 0.87/1.14 (define @t1654 () (tptp.in @t1013 @t381)) % 0.87/1.14 (define @t1655 () (lambda @t1014 @t1654)) % 0.87/1.14 (define @t1656 () (tptp.dsetconstr @t1075 @t1655)) % 0.87/1.14 (define @t1657 () (not (forall @t9 (or (not (tptp.in @t4 @t1656)) (not (= @t981 @t1656)))))) % 0.87/1.14 (define @t1658 () (or @t1651 @t1657 @t1653 @t1652 @t1651)) % 0.87/1.14 (define @t1659 () (or @t1657 @t1653 @t1652 @t1651)) % 0.87/1.14 (define @t1660 () (forall @t750 @t1659)) % 0.87/1.14 (define @t1661 () (forall @t1018 @t1660)) % 0.87/1.14 (define @t1662 () (forall (@list @t1007 @t1006 @t381) @t1659)) % 0.87/1.14 (define @t1663 () (@list @t381 @t1007 @t1006)) % 0.87/1.14 (define @t1664 () (or @t1653 @t1652 @t1651)) % 0.87/1.14 (define @t1665 () (or @t1664 @t1657)) % 0.87/1.14 (define @t1666 () (forall @t1663 @t1665)) % 0.87/1.14 (define @t1667 () (forall @t1018 @t1665)) % 0.87/1.14 (define @t1668 () (forall @t1018 @t1664)) % 0.87/1.14 (define @t1669 () (or @t1668 @t1657)) % 0.87/1.14 (define @t1670 () (_ (_ tptp.setadjoin @t1012) tptp.emptyset)) % 0.87/1.14 (define @t1671 () (_ (_ tptp.in @t1670) @t381)) % 0.87/1.14 (define @t1672 () (lambda @t1014 @t1671)) % 0.87/1.14 (define @t1673 () (_ @t747 @t1672)) % 0.87/1.14 (define @t1674 () (= @t981 @t1673)) % 0.87/1.14 (define @t1675 () (not @t1674)) % 0.87/1.14 (define @t1676 () (tptp.in @t4 @t1673)) % 0.87/1.14 (define @t1677 () (not @t1676)) % 0.87/1.14 (define @t1678 () (or @t1677 @t1675)) % 0.87/1.14 (define @t1679 () (= @t981 @t748)) % 0.87/1.14 (define @t1680 () (not @t1679)) % 0.87/1.14 (define @t1681 () (tptp.in @t4 @t748)) % 0.87/1.14 (define @t1682 () (not @t1681)) % 0.87/1.14 (define @t1683 () (or @t1682 @t1680)) % 0.87/1.14 (define @t1684 () (not (= @t748 @t981))) % 0.87/1.14 (define @t1685 () (or @t1682 @t1684)) % 0.87/1.14 (define @t1686 () (forall @t9 @t1685)) % 0.87/1.14 (define @t1687 () (not @t1686)) % 0.87/1.14 (define @t1688 () (_ @t1640 @t748)) % 0.87/1.14 (define @t1689 () (not (= @t2 @t1074))) % 0.87/1.14 (define @t1690 () (not (tptp.in @t1072 @t1069))) % 0.87/1.14 (define @t1691 () (or @t1071 @t1690 @t1689)) % 0.87/1.14 (define @t1692 () (forall @t1076 @t1691)) % 0.87/1.14 (define @t1693 () (not @t1692)) % 0.87/1.14 (define @t1694 () (lambda @t64 @t1693)) % 0.87/1.14 (define @t1695 () (_ @t1694 @t381)) % 0.87/1.14 (define @t1696 () (=> @t1695 @t1688)) % 0.87/1.14 (define @t1697 () (forall @t750 @t1696)) % 0.87/1.14 (define @t1698 () (or @t1690 @t1689)) % 0.87/1.14 (define @t1699 () (or @t1071 @t1698)) % 0.87/1.14 (define @t1700 () (forall @t1076 @t1699)) % 0.87/1.14 (define @t1701 () (@list @t1072)) % 0.87/1.14 (define @t1702 () (forall @t1701 @t1699)) % 0.87/1.14 (define @t1703 () (forall @t1701 @t1698)) % 0.87/1.14 (define @t1704 () (@list @t19)) % 0.87/1.14 (define @t1705 () (or @t1071 @t1703)) % 0.87/1.14 (define @t1706 () (tptp.in @t19 @t1069)) % 0.87/1.14 (define @t1707 () (forall @t70 (or (not @t1706) (not (= @t2 @t982))))) % 0.87/1.14 (define @t1708 () (not @t44)) % 0.87/1.14 (define @t1709 () (or @t1708 @t1707)) % 0.87/1.14 (define @t1710 () (not @t1707)) % 0.87/1.14 (define @t1711 () (and @t44 @t1710)) % 0.87/1.14 (define @t1712 () (forall @t9 (not @t1711))) % 0.87/1.14 (define @t1713 () (not @t1712)) % 0.87/1.14 (define @t1714 () (not @t962)) % 0.87/1.14 (define @t1715 () (not @t963)) % 0.87/1.14 (define @t1716 () (or @t1715 @t1714)) % 0.87/1.14 (define @t1717 () (forall @t70 (not @t964))) % 0.87/1.14 (define @t1718 () (not @t1717)) % 0.87/1.14 (define @t1719 () (=> tptp.kfstsingleton @t1648)) % 0.87/1.14 (define @t1720 () (not @t742)) % 0.87/1.14 (define @t1721 () (or @t1720 @t739)) % 0.87/1.14 (define @t1722 () (=> tptp.setukpairinjL1 @t1719)) % 0.87/1.14 (define @t1723 () (not (= @t976 @t981))) % 0.87/1.14 (define @t1724 () (or @t1723 @t129)) % 0.87/1.14 (define @t1725 () (= @t275 @t279)) % 0.87/1.14 (define @t1726 () (not @t1725)) % 0.87/1.14 (define @t1727 () (or @t1726 @t129)) % 0.87/1.14 (define @t1728 () (=> tptp.singletonsuniq @t1722)) % 0.87/1.14 (define @t1729 () (or @t1022 @t1021)) % 0.87/1.14 (define @t1730 () (or @t1039 @t1729 @t1027)) % 0.87/1.14 (define @t1731 () (forall @t1041 @t1730)) % 0.87/1.14 (define @t1732 () (@list @t1020)) % 0.87/1.14 (define @t1733 () (forall @t1732 @t1730)) % 0.87/1.14 (define @t1734 () (forall @t1732 @t1729)) % 0.87/1.14 (define @t1735 () (or @t1039 @t1734 @t1027)) % 0.87/1.14 (define @t1736 () (or @t1039 @t1057 @t1027)) % 0.87/1.14 (define @t1737 () (not @t1058)) % 0.87/1.14 (define @t1738 () (=> @t1058 @t1027)) % 0.87/1.14 (define @t1739 () (@var "BOUND_VARIABLE_11245" $$unsorted)) % 0.87/1.14 (define @t1740 () (_ @t143 @t1739)) % 0.87/1.14 (define @t1741 () (@list @t1739)) % 0.87/1.14 (define @t1742 () (lambda @t1741 @t1740)) % 0.87/1.14 (define @t1743 () (tptp.dsetconstr @t2 @t1742)) % 0.87/1.14 (define @t1744 () (= @t981 @t1743)) % 0.87/1.14 (define @t1745 () (not @t1744)) % 0.87/1.14 (define @t1746 () (tptp.in @t4 @t1743)) % 0.87/1.14 (define @t1747 () (not @t1746)) % 0.87/1.14 (define @t1748 () (or @t1747 @t1745)) % 0.87/1.14 (define @t1749 () (_ @t143 @t1739)) % 0.87/1.14 (define @t1750 () (lambda @t1741 @t1749)) % 0.87/1.14 (define @t1751 () (tptp.dsetconstr @t2 @t1750)) % 0.87/1.14 (define @t1752 () (= @t981 @t1751)) % 0.87/1.14 (define @t1753 () (not @t1752)) % 0.87/1.14 (define @t1754 () (tptp.in @t4 @t1751)) % 0.87/1.14 (define @t1755 () (not @t1754)) % 0.87/1.14 (define @t1756 () (or @t1755 @t1753)) % 0.87/1.14 (define @t1757 () (tptp.dsetconstr @t2 @t145)) % 0.87/1.14 (define @t1758 () (= @t981 @t1757)) % 0.87/1.14 (define @t1759 () (not @t1758)) % 0.87/1.14 (define @t1760 () (tptp.in @t4 @t1757)) % 0.87/1.14 (define @t1761 () (not @t1760)) % 0.87/1.14 (define @t1762 () (or @t1761 @t1759)) % 0.87/1.14 (define @t1763 () (forall @t9 @t1762)) % 0.87/1.14 (define @t1764 () (not @t1763)) % 0.87/1.14 (define @t1765 () (lambda @t150 @t1027)) % 0.87/1.14 (define @t1766 () (_ (lambda @t309 @t1027) @t2)) % 0.87/1.14 (define @t1767 () (or @t197 @t315)) % 0.87/1.14 (define @t1768 () (forall @t9 (not @t306))) % 0.87/1.14 (define @t1769 () (not @t1768)) % 0.87/1.14 (define @t1770 () (_ @t1766 @t145)) % 0.87/1.14 (define @t1771 () (=> @t307 @t1770)) % 0.87/1.14 (define @t1772 () (or @t1031 @t1030 @t1029)) % 0.87/1.14 (define @t1773 () (or @t1035 @t1033 @t1772)) % 0.87/1.14 (define @t1774 () (forall @t1037 @t1773)) % 0.87/1.14 (define @t1775 () (@list @t1028)) % 0.87/1.14 (define @t1776 () (forall @t1775 @t1773)) % 0.87/1.14 (define @t1777 () (forall @t1775 @t1772)) % 0.87/1.14 (define @t1778 () (or @t1035 @t1033 @t1777)) % 0.87/1.14 (define @t1779 () (or @t197 @t315 @t1052)) % 0.87/1.14 (define @t1780 () (or @t315 @t1052)) % 0.87/1.14 (define @t1781 () (not @t153)) % 0.87/1.14 (define @t1782 () (not @t21)) % 0.87/1.14 (define @t1783 () (or @t1782 @t1781 @t129)) % 0.87/1.14 (define @t1784 () (forall @t70 @t1783)) % 0.87/1.14 (define @t1785 () (or @t315 @t1784)) % 0.87/1.14 (define @t1786 () (or @t315 @t1783)) % 0.87/1.14 (define @t1787 () (or @t1782 @t315 @t1781 @t129)) % 0.87/1.14 (define @t1788 () (or @t315 @t1781 @t129)) % 0.87/1.14 (define @t1789 () (or @t1781 @t129)) % 0.87/1.14 (define @t1790 () (=> @t715 @t1771)) % 0.87/1.14 (define @t1791 () (forall @t309 @t1790)) % 0.87/1.14 (define @t1792 () (@var "BOUND_VARIABLE_8583" $$unsorted)) % 0.87/1.14 (define @t1793 () (_ @t143 @t1792)) % 0.87/1.14 (define @t1794 () (@list @t1792)) % 0.87/1.14 (define @t1795 () (lambda @t1794 @t1793)) % 0.87/1.14 (define @t1796 () (tptp.dsetconstr @t2 @t1795)) % 0.87/1.14 (define @t1797 () (= @t981 @t1796)) % 0.87/1.14 (define @t1798 () (not @t1797)) % 0.87/1.14 (define @t1799 () (tptp.in @t4 @t1796)) % 0.87/1.14 (define @t1800 () (not @t1799)) % 0.87/1.14 (define @t1801 () (or @t1800 @t1798)) % 0.87/1.14 (define @t1802 () (_ @t143 @t1792)) % 0.87/1.14 (define @t1803 () (lambda @t1794 @t1802)) % 0.87/1.14 (define @t1804 () (_ @t155 @t1803)) % 0.87/1.14 (define @t1805 () (= @t981 @t1804)) % 0.87/1.14 (define @t1806 () (not @t1805)) % 0.87/1.14 (define @t1807 () (tptp.in @t4 @t1804)) % 0.87/1.14 (define @t1808 () (not @t1807)) % 0.87/1.14 (define @t1809 () (or @t1808 @t1806)) % 0.87/1.14 (define @t1810 () (not (= @t1804 @t981))) % 0.87/1.14 (define @t1811 () (or @t1808 @t1810)) % 0.87/1.14 (define @t1812 () (= @t304 @t981)) % 0.87/1.14 (define @t1813 () (not @t1812)) % 0.87/1.14 (define @t1814 () (tptp.in @t4 @t304)) % 0.87/1.14 (define @t1815 () (not @t1814)) % 0.87/1.14 (define @t1816 () (or @t1815 @t1813)) % 0.87/1.14 (define @t1817 () (forall @t9 @t1816)) % 0.87/1.14 (define @t1818 () (not @t1817)) % 0.87/1.14 (define @t1819 () (_ @t1640 @t304)) % 0.87/1.14 (define @t1820 () (=> tptp.ex1I2 @t1728)) % 0.87/1.14 (define @t1821 () (or @t197 @t315 @t1053 @t1047)) % 0.87/1.14 (define @t1822 () (or @t315 @t1053 @t1047)) % 0.87/1.14 (define @t1823 () (=> @t1052 @t1047)) % 0.87/1.14 (define @t1824 () (=> @t144 @t1823)) % 0.87/1.14 (define @t1825 () (not (= @t1044 @t1023))) % 0.87/1.14 (define @t1826 () (or @t1045 @t1825)) % 0.87/1.14 (define @t1827 () (forall @t1046 @t1826)) % 0.87/1.14 (define @t1828 () (not @t1827)) % 0.87/1.14 (define @t1829 () (=> @t1052 @t1828)) % 0.87/1.14 (define @t1830 () (=> @t144 @t1829)) % 0.87/1.14 (define @t1831 () (=> @t7 @t1830)) % 0.87/1.14 (define @t1832 () (=> @t1052 @t1027)) % 0.87/1.14 (define @t1833 () (=> @t144 @t1832)) % 0.87/1.14 (define @t1834 () (=> @t7 @t1833)) % 0.87/1.14 (define @t1835 () (lambda @t70 @t1048)) % 0.87/1.14 (define @t1836 () (tptp.dsetconstr @t2 @t1835)) % 0.87/1.14 (define @t1837 () (= @t981 @t1836)) % 0.87/1.14 (define @t1838 () (not @t1837)) % 0.87/1.14 (define @t1839 () (tptp.in @t4 @t1836)) % 0.87/1.14 (define @t1840 () (not @t1839)) % 0.87/1.14 (define @t1841 () (or @t1840 @t1838)) % 0.87/1.14 (define @t1842 () (tptp.dsetconstr @t2 @t154)) % 0.87/1.14 (define @t1843 () (= @t981 @t1842)) % 0.87/1.14 (define @t1844 () (not @t1843)) % 0.87/1.14 (define @t1845 () (tptp.in @t4 @t1842)) % 0.87/1.14 (define @t1846 () (not @t1845)) % 0.87/1.14 (define @t1847 () (or @t1846 @t1844)) % 0.87/1.14 (define @t1848 () (forall @t9 @t1847)) % 0.87/1.14 (define @t1849 () (not @t1848)) % 0.87/1.14 (define @t1850 () (=> @t726 (_ @t1766 @t154))) % 0.87/1.14 (define @t1851 () (=> @t144 @t1850)) % 0.87/1.14 (define @t1852 () (=> @t7 @t1851)) % 0.87/1.14 (define @t1853 () (forall @t159 @t1852)) % 0.87/1.14 (define @t1854 () (=> tptp.ex1I @t1820)) % 0.87/1.14 (define @t1855 () (not (= @t1055 @t1023))) % 0.87/1.14 (define @t1856 () (or @t1058 @t1056 @t1855)) % 0.87/1.14 (define @t1857 () (or @t1056 @t1855)) % 0.87/1.14 (define @t1858 () (or @t1857 @t1058)) % 0.87/1.14 (define @t1859 () (forall @t1059 @t1858)) % 0.87/1.14 (define @t1860 () (@list @t1054)) % 0.87/1.14 (define @t1861 () (forall @t1860 @t1858)) % 0.87/1.14 (define @t1862 () (forall @t1860 @t1857)) % 0.87/1.14 (define @t1863 () (or @t1862 @t1058)) % 0.87/1.14 (define @t1864 () (=> @t1770 @t307)) % 0.87/1.14 (define @t1865 () (forall @t309 @t1864)) % 0.87/1.14 (define @t1866 () (=> tptp.ex1E1 @t1854)) % 0.87/1.14 (define @t1867 () (=> @t307 @t1819)) % 0.87/1.14 (define @t1868 () (=> @t715 @t1867)) % 0.87/1.14 (define @t1869 () (forall @t309 @t1868)) % 0.87/1.14 (define @t1870 () (=> tptp.singletonprop @t1866)) % 0.87/1.14 (define @t1871 () (= @t4 @t708)) % 0.87/1.14 (define @t1872 () (=> tptp.setunionsingleton @t1870)) % 0.87/1.14 (define @t1873 () (=> tptp.setunionsingleton2 @t1872)) % 0.87/1.14 (define @t1874 () (=> tptp.setunionsingleton1 @t1873)) % 0.87/1.14 (define @t1875 () (or @t1708 @t1068)) % 0.87/1.14 (define @t1876 () (not @t692)) % 0.87/1.14 (define @t1877 () (not @t693)) % 0.87/1.14 (define @t1878 () (or @t1877 @t1876)) % 0.87/1.14 (define @t1879 () (forall @t695 (not @t694))) % 0.87/1.14 (define @t1880 () (not @t1879)) % 0.87/1.14 (define @t1881 () (=> tptp.setunionE2 @t1874)) % 0.87/1.14 (define @t1882 () (or @t1604 @t1078)) % 0.87/1.14 (define @t1883 () (=> @t682 @t1695)) % 0.87/1.14 (define @t1884 () (forall @t684 @t1883)) % 0.87/1.14 (define @t1885 () (=> tptp.cartprodmempair @t1881)) % 0.87/1.14 (define @t1886 () (or @t1604 @t1084)) % 0.87/1.14 (define @t1887 () (or @t1081 @t1080)) % 0.87/1.14 (define @t1888 () (or @t1035 @t1887)) % 0.87/1.14 (define @t1889 () (forall @t1083 @t1888)) % 0.87/1.14 (define @t1890 () (@list @t1079)) % 0.87/1.14 (define @t1891 () (forall @t1890 @t1888)) % 0.87/1.14 (define @t1892 () (forall @t1890 @t1887)) % 0.87/1.14 (define @t1893 () (or @t1035 @t1892)) % 0.87/1.14 (define @t1894 () (tptp.in @t19 @t1)) % 0.87/1.14 (define @t1895 () (not @t1894)) % 0.87/1.14 (define @t1896 () (forall @t70 (or @t1895 (not (= @t381 @t982))))) % 0.87/1.14 (define @t1897 () (or @t197 @t1896)) % 0.87/1.14 (define @t1898 () (not @t1896)) % 0.87/1.14 (define @t1899 () (and @t7 @t1898)) % 0.87/1.14 (define @t1900 () (forall @t9 (not @t1899))) % 0.87/1.14 (define @t1901 () (not @t1900)) % 0.87/1.14 (define @t1902 () (= @t381 @t618)) % 0.87/1.14 (define @t1903 () (not @t1902)) % 0.87/1.14 (define @t1904 () (not @t352)) % 0.87/1.14 (define @t1905 () (or @t1904 @t1903)) % 0.87/1.14 (define @t1906 () (and @t352 @t1902)) % 0.87/1.14 (define @t1907 () (forall @t70 (not @t1906))) % 0.87/1.14 (define @t1908 () (not @t1907)) % 0.87/1.14 (define @t1909 () (= @t381 @t1598)) % 0.87/1.14 (define @t1910 () (and @t352 @t1909)) % 0.87/1.14 (define @t1911 () (exists @t70 @t1910)) % 0.87/1.14 (define @t1912 () (and @t7 @t1911)) % 0.87/1.14 (define @t1913 () (exists @t9 @t1912)) % 0.87/1.14 (define @t1914 () (=> @t682 @t1913)) % 0.87/1.14 (define @t1915 () (forall @t684 @t1914)) % 0.87/1.14 (define @t1916 () (=> tptp.cartprodmempair1 @t1885)) % 0.87/1.14 (define @t1917 () (or @t1087 @t1086)) % 0.87/1.14 (define @t1918 () (or @t1035 @t1917)) % 0.87/1.14 (define @t1919 () (forall @t1089 @t1918)) % 0.87/1.14 (define @t1920 () (@list @t1085)) % 0.87/1.14 (define @t1921 () (forall @t1920 @t1918)) % 0.87/1.14 (define @t1922 () (forall @t1920 @t1917)) % 0.87/1.14 (define @t1923 () (or @t1035 @t1922)) % 0.87/1.14 (define @t1924 () (tptp.in @t982 @t996)) % 0.87/1.14 (define @t1925 () (forall @t70 (or @t1895 @t1924))) % 0.87/1.14 (define @t1926 () (or @t197 @t1925)) % 0.87/1.14 (define @t1927 () (_ tptp.in @t982)) % 0.87/1.14 (define @t1928 () (_ @t658 @t670)) % 0.87/1.14 (define @t1929 () (or @t1904 @t1928)) % 0.87/1.14 (define @t1930 () (_ tptp.in @t1598)) % 0.87/1.14 (define @t1931 () (=> @t352 (_ @t1930 @t670))) % 0.87/1.14 (define @t1932 () (forall @t70 @t1931)) % 0.87/1.14 (define @t1933 () (=> @t7 @t1932)) % 0.87/1.14 (define @t1934 () (forall @t245 @t1933)) % 0.87/1.14 (define @t1935 () (=> tptp.cartprodpairin @t1916)) % 0.87/1.14 (define @t1936 () (or @t1095 @t1094)) % 0.87/1.14 (define @t1937 () (or @t1035 @t1936)) % 0.87/1.14 (define @t1938 () (forall @t1097 @t1937)) % 0.87/1.14 (define @t1939 () (@list @t1093)) % 0.87/1.14 (define @t1940 () (forall @t1939 @t1937)) % 0.87/1.14 (define @t1941 () (forall @t1939 @t1936)) % 0.87/1.14 (define @t1942 () (or @t1035 @t1941)) % 0.87/1.14 (define @t1943 () (tptp.in @t982 @t1092)) % 0.87/1.14 (define @t1944 () (forall @t70 (or @t1895 @t1943))) % 0.87/1.14 (define @t1945 () (or @t197 @t1944)) % 0.87/1.14 (define @t1946 () (or @t1904 @t659)) % 0.87/1.14 (define @t1947 () (=> @t352 (_ @t1930 @t657))) % 0.87/1.14 (define @t1948 () (forall @t70 @t1947)) % 0.87/1.14 (define @t1949 () (=> @t7 @t1948)) % 0.87/1.14 (define @t1950 () (forall @t245 @t1949)) % 0.87/1.14 (define @t1951 () (=> tptp.ubforcartprodlem3 @t1935)) % 0.87/1.14 (define @t1952 () (=> tptp.ubforcartprodlem2 @t1951)) % 0.87/1.14 (define @t1953 () (or @t1101 @t1100)) % 0.87/1.14 (define @t1954 () (or @t1035 @t1953)) % 0.87/1.14 (define @t1955 () (forall @t1103 @t1954)) % 0.87/1.14 (define @t1956 () (@list @t1099)) % 0.87/1.14 (define @t1957 () (forall @t1956 @t1954)) % 0.87/1.14 (define @t1958 () (forall @t1956 @t1953)) % 0.87/1.14 (define @t1959 () (or @t1035 @t1958)) % 0.87/1.14 (define @t1960 () (tptp.subset @t982 @t1091)) % 0.87/1.14 (define @t1961 () (forall @t70 (or @t1895 @t1960))) % 0.87/1.14 (define @t1962 () (or @t197 @t1961)) % 0.87/1.14 (define @t1963 () (or @t1904 @t652)) % 0.87/1.14 (define @t1964 () (=> tptp.ubforcartprodlem1 @t1952)) % 0.87/1.14 (define @t1965 () (or @t1106 @t1105)) % 0.87/1.14 (define @t1966 () (or @t1035 @t1965)) % 0.87/1.14 (define @t1967 () (forall @t1108 @t1966)) % 0.87/1.14 (define @t1968 () (@list @t1104)) % 0.87/1.14 (define @t1969 () (forall @t1968 @t1966)) % 0.87/1.14 (define @t1970 () (forall @t1968 @t1965)) % 0.87/1.14 (define @t1971 () (or @t1035 @t1970)) % 0.87/1.14 (define @t1972 () (tptp.in @t977 @t1091)) % 0.87/1.14 (define @t1973 () (forall @t70 (or @t1895 @t1972))) % 0.87/1.14 (define @t1974 () (or @t197 @t1973)) % 0.87/1.14 (define @t1975 () (or @t1904 @t647)) % 0.87/1.14 (define @t1976 () (=> tptp.upairinpowunion @t1964)) % 0.87/1.14 (define @t1977 () (or @t1111 @t1110)) % 0.87/1.14 (define @t1978 () (or @t1035 @t1977)) % 0.87/1.14 (define @t1979 () (forall @t1113 @t1978)) % 0.87/1.14 (define @t1980 () (@list @t1109)) % 0.87/1.14 (define @t1981 () (forall @t1980 @t1978)) % 0.87/1.14 (define @t1982 () (forall @t1980 @t1977)) % 0.87/1.14 (define @t1983 () (or @t1035 @t1982)) % 0.87/1.14 (define @t1984 () (tptp.subset @t977 @t1090)) % 0.87/1.14 (define @t1985 () (forall @t70 (or @t1895 @t1984))) % 0.87/1.14 (define @t1986 () (or @t197 @t1985)) % 0.87/1.14 (define @t1987 () (or @t1904 @t642)) % 0.87/1.14 (define @t1988 () (=> tptp.upairsubunion @t1976)) % 0.87/1.14 (define @t1989 () (not @t293)) % 0.87/1.14 (define @t1990 () (or @t1989 @t739 @t1114)) % 0.87/1.14 (define @t1991 () (or @t739 @t1114)) % 0.87/1.14 (define @t1992 () (=> tptp.upairset2E @t1988)) % 0.87/1.14 (define @t1993 () (_ tptp.in @t981)) % 0.87/1.14 (define @t1994 () (or @t197 @t639)) % 0.87/1.14 (define @t1995 () (=> tptp.singletoninpowunion @t1992)) % 0.87/1.14 (define @t1996 () (or @t197 @t635)) % 0.87/1.14 (define @t1997 () (=> tptp.singletoninpowerset @t1995)) % 0.87/1.14 (define @t1998 () (or @t197 @t631)) % 0.87/1.14 (define @t1999 () (=> tptp.singletonsubset @t1997)) % 0.87/1.14 (define @t2000 () (= @t618 @t1122)) % 0.87/1.14 (define @t2001 () (not @t2000)) % 0.87/1.14 (define @t2002 () (tptp.setunion @t618)) % 0.87/1.14 (define @t2003 () (tptp.in @t1072 @t2002)) % 0.87/1.14 (define @t2004 () (not @t2003)) % 0.87/1.14 (define @t2005 () (tptp.in @t1121 @t2002)) % 0.87/1.14 (define @t2006 () (not @t2005)) % 0.87/1.14 (define @t2007 () (or @t2006 @t2004 @t2001)) % 0.87/1.14 (define @t2008 () (forall @t1124 @t2007)) % 0.87/1.14 (define @t2009 () (not @t2008)) % 0.87/1.14 (define @t2010 () (forall @t135 (_ @t1694 @t1598))) % 0.87/1.14 (define @t2011 () (=> tptp.kpairp @t1999)) % 0.87/1.14 (define @t2012 () (forall @t135 (_ @t1694 @t618))) % 0.87/1.14 (define @t2013 () (=> tptp.kpairiskpair @t2011)) % 0.87/1.14 (define @t2014 () (=> tptp.setukpairIR @t2013)) % 0.87/1.14 (define @t2015 () (=> tptp.setukpairIL @t2014)) % 0.87/1.14 (define @t2016 () (=> tptp.secondinupair @t2015)) % 0.87/1.14 (define @t2017 () (or @t7 @t6 @t609)) % 0.87/1.14 (define @t2018 () (not @t435)) % 0.87/1.14 (define @t2019 () (not @t197)) % 0.87/1.14 (define @t2020 () (=> tptp.symdiffIneg2 @t2016)) % 0.87/1.14 (define @t2021 () (or @t197 @t435 @t609)) % 0.87/1.14 (define @t2022 () (=> tptp.symdiffIneg1 @t2020)) % 0.87/1.14 (define @t2023 () (or @t7 @t435 @t599)) % 0.87/1.14 (define @t2024 () (=> tptp.symdiffI2 @t2022)) % 0.87/1.14 (define @t2025 () (or @t197 @t6 @t599)) % 0.87/1.14 (define @t2026 () (=> tptp.symdiffI1 @t2024)) % 0.87/1.14 (define @t2027 () (or @t609 @t1136 @t1135)) % 0.87/1.14 (define @t2028 () (or @t1136 @t1135)) % 0.87/1.14 (define @t2029 () (not false)) % 0.87/1.14 (define @t2030 () (and @t1035 @t1133 @t2029)) % 0.87/1.14 (define @t2031 () (and @t1034 @t1134 @t2029)) % 0.87/1.14 (define @t2032 () (or @t2031 @t2030)) % 0.87/1.14 (define @t2033 () (or @t2031 @t2030 false)) % 0.87/1.14 (define @t2034 () (not @t173)) % 0.87/1.14 (define @t2035 () (and @t1035 @t1133 @t2034)) % 0.87/1.14 (define @t2036 () (and @t1034 @t1134 @t2034)) % 0.87/1.14 (define @t2037 () (not (= @t173 false))) % 0.87/1.14 (define @t2038 () (or @t173 @t2036 @t2035 @t173)) % 0.87/1.14 (define @t2039 () (or @t2036 @t2035 @t173)) % 0.87/1.14 (define @t2040 () (and @t197 @t6 @t2034)) % 0.87/1.14 (define @t2041 () (and @t7 @t435 @t2034)) % 0.87/1.14 (define @t2042 () (or @t2041 @t2040 @t173)) % 0.87/1.14 (define @t2043 () (and @t6 @t2034)) % 0.87/1.14 (define @t2044 () (not @t498)) % 0.87/1.14 (define @t2045 () (=> tptp.symdiffE @t2026)) % 0.87/1.14 (define @t2046 () (= tptp.emptyset @t565)) % 0.87/1.14 (define @t2047 () (not @t2046)) % 0.87/1.14 (define @t2048 () (or @t2047 @t420)) % 0.87/1.14 (define @t2049 () (=> tptp.setminusSubset1 @t2045)) % 0.87/1.14 (define @t2050 () (=> tptp.setminusLsub @t2049)) % 0.87/1.14 (define @t2051 () (or @t435 @t578)) % 0.87/1.14 (define @t2052 () (=> tptp.setminusIRneg @t2050)) % 0.87/1.14 (define @t2053 () (or @t7 @t578)) % 0.87/1.14 (define @t2054 () (=> tptp.setminusILneg @t2052)) % 0.87/1.14 (define @t2055 () (or @t566 @t6 @t197)) % 0.87/1.14 (define @t2056 () (or @t6 @t197)) % 0.87/1.14 (define @t2057 () (not @t578)) % 0.87/1.14 (define @t2058 () (=> tptp.setminusELneg @t2054)) % 0.87/1.14 (define @t2059 () (or @t566 @t197 @t6)) % 0.87/1.14 (define @t2060 () (or @t197 @t6)) % 0.87/1.14 (define @t2061 () (=> tptp.setminusERneg @t2058)) % 0.87/1.14 (define @t2062 () (or @t439 @t2046)) % 0.87/1.14 (define @t2063 () (=> tptp.setminusSubset2 @t2061)) % 0.87/1.14 (define @t2064 () (or @t578 @t435)) % 0.87/1.14 (define @t2065 () (=> tptp.setminusER @t2063)) % 0.87/1.14 (define @t2066 () (or @t578 @t7)) % 0.87/1.14 (define @t2067 () (=> tptp.setminusEL @t2065)) % 0.87/1.14 (define @t2068 () (or @t197 @t6 @t566)) % 0.87/1.14 (define @t2069 () (=> tptp.setminusI @t2067)) % 0.87/1.14 (define @t2070 () (=> tptp.bs114d @t2069)) % 0.87/1.14 (define @t2071 () (= @t2 @t515)) % 0.87/1.14 (define @t2072 () (not @t2071)) % 0.87/1.14 (define @t2073 () (or @t2072 @t420)) % 0.87/1.14 (define @t2074 () (=> tptp.binintersectSubset1 @t2070)) % 0.87/1.14 (define @t2075 () (= @t1 @t515)) % 0.87/1.14 (define @t2076 () (not @t425)) % 0.87/1.14 (define @t2077 () (or @t2076 @t2075)) % 0.87/1.14 (define @t2078 () (=> tptp.binintersectSubset4 @t2074)) % 0.87/1.14 (define @t2079 () (_ tptp.subset @t1145)) % 0.87/1.14 (define @t2080 () (=> tptp.binintersectRsub @t2078)) % 0.87/1.14 (define @t2081 () (= tptp.emptyset @t515)) % 0.87/1.14 (define @t2082 () (or @t1155 @t2081)) % 0.87/1.14 (define @t2083 () (or @t197 @t435)) % 0.87/1.14 (define @t2084 () (forall @t9 (not @t543))) % 0.87/1.14 (define @t2085 () (not @t2084)) % 0.87/1.14 (define @t2086 () (=> tptp.disjointsetsI1 @t2080)) % 0.87/1.14 (define @t2087 () (not @t516)) % 0.87/1.14 (define @t2088 () (or @t2087 @t6)) % 0.87/1.14 (define @t2089 () (=> tptp.binintersectER @t2086)) % 0.87/1.14 (define @t2090 () (not @t2075)) % 0.87/1.14 (define @t2091 () (or @t2090 @t425)) % 0.87/1.14 (define @t2092 () (=> tptp.binintersectSubset3 @t2089)) % 0.87/1.14 (define @t2093 () (or @t439 @t2071)) % 0.87/1.14 (define @t2094 () (=> tptp.binintersectSubset2 @t2092)) % 0.87/1.14 (define @t2095 () (=> tptp.binintersectLsub @t2094)) % 0.87/1.14 (define @t2096 () (or @t2087 @t7)) % 0.87/1.14 (define @t2097 () (=> tptp.binintersectEL @t2095)) % 0.87/1.14 (define @t2098 () (not @t522)) % 0.87/1.14 (define @t2099 () (not @t524)) % 0.87/1.14 (define @t2100 () (or @t2099 @t2098 @t521)) % 0.87/1.14 (define @t2101 () (=> tptp.binintersectSubset5 @t2097)) % 0.87/1.14 (define @t2102 () (or @t197 @t435 @t516)) % 0.87/1.14 (define @t2103 () (=> tptp.binintersectI @t2101)) % 0.87/1.14 (define @t2104 () (=> tptp.binunionRsub @t2103)) % 0.87/1.14 (define @t2105 () (=> tptp.binunionLsub @t2104)) % 0.87/1.14 (define @t2106 () (not @t493)) % 0.87/1.14 (define @t2107 () (or @t2106 @t7 @t6)) % 0.87/1.14 (define @t2108 () (=> tptp.binunionE @t2105)) % 0.87/1.14 (define @t2109 () (and @t1133 @t2029)) % 0.87/1.14 (define @t2110 () (and @t1034 @t2029)) % 0.87/1.14 (define @t2111 () (or @t1165 @t2110 @t2109)) % 0.87/1.14 (define @t2112 () (or @t1165 @t2110 @t2109 false)) % 0.87/1.14 (define @t2113 () (and @t1133 @t2034)) % 0.87/1.14 (define @t2114 () (and @t1034 @t2034)) % 0.87/1.14 (define @t2115 () (or @t173 @t1165 @t2114 @t2113 @t173)) % 0.87/1.14 (define @t2116 () (or @t1165 @t2114 @t2113 @t173)) % 0.87/1.14 (define @t2117 () (forall @t179 @t2116)) % 0.87/1.14 (define @t2118 () (forall @t245 @t2117)) % 0.87/1.14 (define @t2119 () (and @t7 @t2034)) % 0.87/1.14 (define @t2120 () (or @t2106 @t2119 @t2043 @t173)) % 0.87/1.14 (define @t2121 () (or @t2119 @t2043 @t173)) % 0.87/1.14 (define @t2122 () (=> tptp.binunionEcases @t2108)) % 0.87/1.14 (define @t2123 () (or @t435 @t493)) % 0.87/1.14 (define @t2124 () (=> tptp.binunionIR @t2122)) % 0.87/1.14 (define @t2125 () (=> tptp.upairset2IR @t2124)) % 0.87/1.14 (define @t2126 () (or @t197 @t493)) % 0.87/1.14 (define @t2127 () (=> tptp.binunionIL @t2125)) % 0.87/1.14 (define @t2128 () (lambda @t9 @t1032)) % 0.87/1.14 (define @t2129 () (tptp.dsetconstr @t2 @t2128)) % 0.87/1.14 (define @t2130 () (tptp.subset @t2129 @t2)) % 0.87/1.14 (define @t2131 () (=> tptp.sepSubset @t2127)) % 0.87/1.14 (define @t2132 () (tptp.in @t2129 @t1118)) % 0.87/1.14 (define @t2133 () (=> tptp.sepInPowerset @t2131)) % 0.87/1.14 (define @t2134 () (or @t439 @t483)) % 0.87/1.14 (define @t2135 () (=> tptp.powersetsubset @t2133)) % 0.87/1.14 (define @t2136 () (=> tptp.inPowerset @t2135)) % 0.87/1.14 (define @t2137 () (not @t35)) % 0.87/1.14 (define @t2138 () (or @t2137 @t425)) % 0.87/1.14 (define @t2139 () (=> tptp.powersetE1 @t2136)) % 0.87/1.14 (define @t2140 () (or @t2076 @t35)) % 0.87/1.14 (define @t2141 () (=> tptp.powersetI1 @t2139)) % 0.87/1.14 (define @t2142 () (not @t473)) % 0.87/1.14 (define @t2143 () (or @t2142 @t196)) % 0.87/1.14 (define @t2144 () (=> tptp.subsetemptysetimpeq @t2141)) % 0.87/1.14 (define @t2145 () (or @t439 @t2076 @t3)) % 0.87/1.14 (define @t2146 () (=> tptp.setextsub @t2144)) % 0.87/1.14 (define @t2147 () (or @t439 @t467)) % 0.87/1.14 (define @t2148 () (=> tptp.subset2powerset @t2146)) % 0.87/1.14 (define @t2149 () (or @t439 @t463)) % 0.87/1.14 (define @t2150 () (=> tptp.setadjoinSub2 @t2148)) % 0.87/1.14 (define @t2151 () (=> tptp.setadjoinSub @t2150)) % 0.87/1.14 (define @t2152 () (not @t453)) % 0.87/1.14 (define @t2153 () (or @t439 @t2152 @t452)) % 0.87/1.14 (define @t2154 () (=> tptp.subsetTrans @t2151)) % 0.87/1.14 (define @t2155 () (=> tptp.subsetRefl @t2154)) % 0.87/1.14 (define @t2156 () (@list @t1 @t4)) % 0.87/1.14 (define @t2157 () (or @t1134 @t1133)) % 0.87/1.14 (define @t2158 () (not (= @t1 @t1))) % 0.87/1.14 (define @t2159 () (or @t1134 @t1133 @t2158)) % 0.87/1.14 (define @t2160 () (or @t443 @t1035 @t1133 @t443)) % 0.87/1.14 (define @t2161 () (or @t1035 @t1133 @t443)) % 0.87/1.14 (define @t2162 () (forall @t64 @t2161)) % 0.87/1.14 (define @t2163 () (forall @t2156 @t2162)) % 0.87/1.14 (define @t2164 () (forall (@list @t1 @t4 @t2) @t2161)) % 0.87/1.14 (define @t2165 () (or @t197 @t6 @t443)) % 0.87/1.14 (define @t2166 () (=> tptp.notequalI2 @t2155)) % 0.87/1.14 (define @t2167 () (or @t1182 @t2158)) % 0.87/1.14 (define @t2168 () (or @t443 @t1137 @t443)) % 0.87/1.14 (define @t2169 () (or @t1137 @t443)) % 0.87/1.14 (define @t2170 () (forall @t64 @t2169)) % 0.87/1.14 (define @t2171 () (forall @t41 @t2170)) % 0.87/1.14 (define @t2172 () (@list @t1 @t2)) % 0.87/1.14 (define @t2173 () (forall @t2172 @t2169)) % 0.87/1.14 (define @t2174 () (or @t420 @t443)) % 0.87/1.14 (define @t2175 () (=> tptp.notequalI1 @t2166)) % 0.87/1.14 (define @t2176 () (or @t197 @t6 @t439)) % 0.87/1.14 (define @t2177 () (=> tptp.notsubsetI @t2175)) % 0.87/1.14 (define @t2178 () (or @t439 @t6 @t197)) % 0.87/1.14 (define @t2179 () (=> tptp.subsetE2 @t2177)) % 0.87/1.14 (define @t2180 () (or @t439 @t197 @t6)) % 0.87/1.14 (define @t2181 () (=> tptp.subsetE @t2179)) % 0.87/1.14 (define @t2182 () (=> tptp.emptysetsubset @t2181)) % 0.87/1.14 (define @t2183 () (or @t1190 @t420)) % 0.87/1.14 (define @t2184 () (=> tptp.subsetI2 @t2182)) % 0.87/1.14 (define @t2185 () (or @t2158 @t1182)) % 0.87/1.14 (define @t2186 () (or @t443 @t443 @t1137)) % 0.87/1.14 (define @t2187 () (or @t443 @t1137)) % 0.87/1.14 (define @t2188 () (forall @t64 @t2187)) % 0.87/1.14 (define @t2189 () (forall @t41 @t2188)) % 0.87/1.15 (define @t2190 () (forall @t2172 @t2187)) % 0.87/1.15 (define @t2191 () (or @t443 @t420)) % 0.87/1.15 (define @t2192 () (=> tptp.eqimpsubset1 @t2184)) % 0.87/1.15 (define @t2193 () (or @t443 @t443 @t1151)) % 0.87/1.15 (define @t2194 () (or @t443 @t1151)) % 0.87/1.15 (define @t2195 () (forall @t64 @t2194)) % 0.87/1.15 (define @t2196 () (forall @t41 @t2195)) % 0.87/1.15 (define @t2197 () (forall @t2172 @t2194)) % 0.87/1.15 (define @t2198 () (or @t443 @t425)) % 0.87/1.15 (define @t2199 () (=> tptp.eqimpsubset2 @t2192)) % 0.87/1.15 (define @t2200 () (=> tptp.subsetI1 @t2199)) % 0.87/1.15 (define @t2201 () (or @t1134 @t1134 @t1197)) % 0.87/1.15 (define @t2202 () (forall @t9 @t2201)) % 0.87/1.15 (define @t2203 () (not @t2202)) % 0.87/1.15 (define @t2204 () (or @t2158 @t2203 (= @t1193 @t1195))) % 0.87/1.15 (define @t2205 () (= (tptp.dsetconstr @t2 @t1192) @t1195)) % 0.87/1.15 (define @t2206 () (not (forall @t9 (or @t1035 @t1134 @t1197)))) % 0.87/1.15 (define @t2207 () (or @t443 @t443 @t2206 @t2205)) % 0.87/1.15 (define @t2208 () (or @t443 @t2206 @t2205)) % 0.87/1.15 (define @t2209 () (forall @t64 @t2208)) % 0.87/1.15 (define @t2210 () (forall @t1201 @t2209)) % 0.87/1.15 (define @t2211 () (forall (@list @t1 @t1192 @t1194 @t2) @t2208)) % 0.87/1.15 (define @t2212 () (@list @t2 @t1 @t1192 @t1194)) % 0.87/1.15 (define @t2213 () (or @t2206 @t2205)) % 0.87/1.15 (define @t2214 () (or @t443 @t2213)) % 0.87/1.15 (define @t2215 () (forall @t2212 @t2214)) % 0.87/1.15 (define @t2216 () (@list @t1192 @t1194)) % 0.87/1.15 (define @t2217 () (forall @t2216 @t2214)) % 0.87/1.15 (define @t2218 () (forall @t2216 @t2213)) % 0.87/1.15 (define @t2219 () (or @t443 @t2218)) % 0.87/1.15 (define @t2220 () (= @t1032 @t1226)) % 0.87/1.15 (define @t2221 () (forall @t9 (or @t1035 @t1134 @t2220))) % 0.87/1.15 (define @t2222 () (not @t2221)) % 0.87/1.15 (define @t2223 () (forall @t376 (or @t2222 (= @t1023 (tptp.dsetconstr @t1 @t366))))) % 0.87/1.15 (define @t2224 () (lambda @t9 @t1226)) % 0.87/1.15 (define @t2225 () (tptp.dsetconstr @t1 @t2224)) % 0.87/1.15 (define @t2226 () (= @t2129 @t2225)) % 0.87/1.15 (define @t2227 () (or @t2222 @t2226)) % 0.87/1.15 (define @t2228 () (or @t2222 @t410)) % 0.87/1.15 (define @t2229 () (or @t197 @t1134 @t2220)) % 0.87/1.15 (define @t2230 () (or @t1134 @t2220)) % 0.87/1.15 (define @t2231 () (not (= @t4 @t4))) % 0.87/1.15 (define @t2232 () (or @t1134 @t2231 @t2220)) % 0.87/1.15 (define @t2233 () (= @t1032 @t1204)) % 0.87/1.15 (define @t2234 () (or @t282 @t1895 @t282 @t2233)) % 0.87/1.15 (define @t2235 () (or @t1895 @t282 @t2233)) % 0.87/1.15 (define @t2236 () (or @t1904 @t282 @t372)) % 0.87/1.15 (define @t2237 () (or @t282 @t372)) % 0.87/1.15 (define @t2238 () (=> tptp.dsetconstr__Cong @t2200)) % 0.87/1.15 (define @t2239 () (or @t1205 (= @t1203 @t19))) % 0.87/1.15 (define @t2240 () (forall @t70 @t2239)) % 0.87/1.15 (define @t2241 () (not @t2240)) % 0.87/1.15 (define @t2242 () (or @t1049 (= @t1207 @t19))) % 0.87/1.15 (define @t2243 () (forall @t70 @t2242)) % 0.87/1.15 (define @t2244 () (not @t2243)) % 0.87/1.15 (define @t2245 () (or @t1213 @t1210 @t1208 @t2244 @t1206 @t2241)) % 0.87/1.15 (define @t2246 () (or @t1206 @t2241)) % 0.87/1.15 (define @t2247 () (or @t1208 @t2244)) % 0.87/1.15 (define @t2248 () (or @t1213 @t2247 @t2246 @t1210)) % 0.87/1.15 (define @t2249 () (forall @t1214 @t2248)) % 0.87/1.15 (define @t2250 () (forall (@list @t1207 @t1203) @t2248)) % 0.87/1.15 (define @t2251 () (forall (@list @t1203) @t2246)) % 0.87/1.15 (define @t2252 () (forall (@list @t1207) @t2247)) % 0.87/1.15 (define @t2253 () (or @t1213 @t2252 @t2251 @t1210)) % 0.87/1.15 (define @t2254 () (tptp.descr @t2224)) % 0.87/1.15 (define @t2255 () (tptp.descr @t2128)) % 0.87/1.15 (define @t2256 () (= @t2255 @t2254)) % 0.87/1.15 (define @t2257 () (or @t1213 @t1231 @t1227 @t2256)) % 0.87/1.15 (define @t2258 () (or @t1213 @t1231 @t1227 @t402)) % 0.87/1.15 (define @t2259 () (or @t1231 @t1227 @t402)) % 0.87/1.15 (define @t2260 () (=> @t1228 @t402)) % 0.87/1.15 (define @t2261 () (not @t1232)) % 0.87/1.15 (define @t2262 () (=> @t1232 @t2260)) % 0.87/1.15 (define @t2263 () (not @t367)) % 0.87/1.15 (define @t2264 () (or @t2263 @t1225)) % 0.87/1.15 (define @t2265 () (not @t371)) % 0.87/1.15 (define @t2266 () (or @t2265 @t129)) % 0.87/1.15 (define @t2267 () (_ @t368 @t19)) % 0.87/1.15 (define @t2268 () (not @t2267)) % 0.87/1.15 (define @t2269 () (or @t2268 @t129)) % 0.87/1.15 (define @t2270 () (forall @t70 @t2269)) % 0.87/1.15 (define @t2271 () (not @t2270)) % 0.87/1.15 (define @t2272 () (_ @t368 @t4)) % 0.87/1.15 (define @t2273 () (not @t2272)) % 0.87/1.15 (define @t2274 () (or @t2273 @t2271)) % 0.87/1.15 (define @t2275 () (forall @t9 @t2274)) % 0.87/1.15 (define @t2276 () (not @t2275)) % 0.87/1.15 (define @t2277 () (lambda @t150 @t1232)) % 0.87/1.15 (define @t2278 () (_ @t2277 @t368)) % 0.87/1.15 (define @t2279 () (=> @t2278 @t402)) % 0.87/1.15 (define @t2280 () (or @t315 @t1230)) % 0.87/1.15 (define @t2281 () (_ @t145 @t19)) % 0.87/1.15 (define @t2282 () (not @t2281)) % 0.87/1.15 (define @t2283 () (or @t2282 @t129)) % 0.87/1.15 (define @t2284 () (forall @t70 @t2283)) % 0.87/1.15 (define @t2285 () (not @t2284)) % 0.87/1.15 (define @t2286 () (_ @t145 @t4)) % 0.87/1.15 (define @t2287 () (not @t2286)) % 0.87/1.15 (define @t2288 () (or @t2287 @t2285)) % 0.87/1.15 (define @t2289 () (forall @t9 @t2288)) % 0.87/1.15 (define @t2290 () (not @t2289)) % 0.87/1.15 (define @t2291 () (_ @t2277 @t145)) % 0.87/1.15 (define @t2292 () (=> @t2291 @t2279)) % 0.87/1.15 (define @t2293 () (or @t1571 @t1211)) % 0.87/1.15 (define @t2294 () (or @t282 @t282 @t2233)) % 0.87/1.15 (define @t2295 () (or @t282 @t2233)) % 0.87/1.15 (define @t2296 () (forall @t9 @t2295)) % 0.87/1.15 (define @t2297 () (forall @t70 @t2296)) % 0.87/1.15 (define @t2298 () (forall @t1579 @t2295)) % 0.87/1.15 (define @t2299 () (=> @t374 @t2292)) % 0.87/1.15 (define @t2300 () (forall @t376 @t2299)) % 0.87/1.15 (define @t2301 () (and @t144 @t1229)) % 0.87/1.15 (define @t2302 () (forall @t9 (not @t2301))) % 0.87/1.15 (define @t2303 () (not @t2302)) % 0.87/1.15 (define @t2304 () (=> tptp.descr__Cong @t2238)) % 0.87/1.15 (define @t2305 () (or @t1049 (= @t1221 @t19))) % 0.87/1.15 (define @t2306 () (forall @t70 @t2305)) % 0.87/1.15 (define @t2307 () (not @t2306)) % 0.87/1.15 (define @t2308 () (or @t1222 @t2307 @t1220 @t1219 @t1218)) % 0.87/1.15 (define @t2309 () (or @t1220 @t1219 @t1218)) % 0.87/1.15 (define @t2310 () (or @t1222 @t2307)) % 0.87/1.15 (define @t2311 () (or @t2310 @t2309)) % 0.87/1.15 (define @t2312 () (forall @t1223 @t2311)) % 0.87/1.15 (define @t2313 () (forall (@list @t1221 @t1217 @t1216) @t2311)) % 0.87/1.15 (define @t2314 () (forall (@list @t1217 @t1216) @t2309)) % 0.87/1.15 (define @t2315 () (forall (@list @t1221) @t2310)) % 0.87/1.15 (define @t2316 () (or @t2315 @t2314)) % 0.87/1.15 (define @t2317 () (=> @t2291 @t344)) % 0.87/1.15 (define @t2318 () (forall @t150 @t2317)) % 0.87/1.15 (define @t2319 () (=> tptp.exuEu @t2304)) % 0.87/1.15 (define @t2320 () (=> tptp.omega__Cong @t2319)) % 0.87/1.15 (define @t2321 () (tptp.setunion @t1)) % 0.87/1.15 (define @t2322 () (or @t2158 (= @t2321 @t2321))) % 0.87/1.15 (define @t2323 () (= @t1069 @t2321)) % 0.87/1.15 (define @t2324 () (or @t443 @t443 @t2323)) % 0.87/1.15 (define @t2325 () (or @t443 @t2323)) % 0.87/1.15 (define @t2326 () (forall @t64 @t2325)) % 0.87/1.15 (define @t2327 () (forall @t41 @t2326)) % 0.87/1.15 (define @t2328 () (forall @t2172 @t2325)) % 0.87/1.15 (define @t2329 () (or @t443 @t396)) % 0.87/1.15 (define @t2330 () (=> tptp.setunion__Cong @t2320)) % 0.87/1.15 (define @t2331 () (or @t2158 (= @t1167 @t1167))) % 0.87/1.15 (define @t2332 () (= @t1118 @t1167)) % 0.87/1.15 (define @t2333 () (or @t443 @t443 @t2332)) % 0.87/1.15 (define @t2334 () (or @t443 @t2332)) % 0.87/1.15 (define @t2335 () (forall @t64 @t2334)) % 0.87/1.15 (define @t2336 () (forall @t41 @t2335)) % 0.87/1.15 (define @t2337 () (forall @t2172 @t2334)) % 0.87/1.15 (define @t2338 () (or @t443 @t392)) % 0.87/1.15 (define @t2339 () (=> tptp.powerset__Cong @t2330)) % 0.87/1.15 (define @t2340 () (@var "BOUND_VARIABLE_10117" $$unsorted)) % 0.87/1.15 (define @t2341 () (@list @t19 @t2340)) % 0.87/1.15 (define @t2342 () (tptp.setadjoin @t19 @t2340)) % 0.87/1.15 (define @t2343 () (or @t1571 (= @t2342 @t2342))) % 0.87/1.15 (define @t2344 () (= @t2342 (tptp.setadjoin @t4 @t2340))) % 0.87/1.15 (define @t2345 () (or @t282 @t282 @t2344)) % 0.87/1.15 (define @t2346 () (or @t282 @t2344)) % 0.87/1.15 (define @t2347 () (forall @t9 @t2346)) % 0.87/1.15 (define @t2348 () (forall @t2341 @t2347)) % 0.87/1.15 (define @t2349 () (forall (@list @t19 @t2340 @t4) @t2346)) % 0.87/1.15 (define @t2350 () (forall (@list @t4 @t19 @t2340) @t2346)) % 0.87/1.15 (define @t2351 () (@list @t2340)) % 0.87/1.15 (define @t2352 () (forall @t2351 @t2346)) % 0.87/1.15 (define @t2353 () (forall @t2351 @t2344)) % 0.87/1.15 (define @t2354 () (or @t282 @t2353)) % 0.87/1.15 (define @t2355 () (tptp.setadjoin @t4 @t381)) % 0.87/1.15 (define @t2356 () (tptp.setadjoin @t19 @t381)) % 0.87/1.15 (define @t2357 () (= @t2356 @t2355)) % 0.87/1.15 (define @t2358 () (forall @t750 @t2357)) % 0.87/1.15 (define @t2359 () (or @t1558 (= @t2355 @t2356))) % 0.87/1.15 (define @t2360 () (tptp.setadjoin @t4 @t289)) % 0.87/1.15 (define @t2361 () (= @t2360 @t2356)) % 0.87/1.15 (define @t2362 () (or @t1560 @t1560 @t2361)) % 0.87/1.15 (define @t2363 () (or @t1560 @t2361)) % 0.87/1.15 (define @t2364 () (forall @t1562 @t2363)) % 0.87/1.15 (define @t2365 () (forall @t750 @t2364)) % 0.87/1.15 (define @t2366 () (forall (@list @t381 @t289) @t2363)) % 0.87/1.15 (define @t2367 () (or @t1560 @t384)) % 0.87/1.15 (define @t2368 () (=> tptp.setadjoin__Cong @t2339)) % 0.87/1.15 (define @t2369 () (=> tptp.emptyset__Cong @t2368)) % 0.87/1.15 (define @t2370 () (= @t2291 @t2278)) % 0.87/1.15 (define @t2371 () (=> @t374 @t2370)) % 0.87/1.15 (define @t2372 () (forall @t376 @t2371)) % 0.87/1.15 (define @t2373 () (=> tptp.exu__Cong @t2369)) % 0.87/1.15 (define @t2374 () (=> tptp.exuE3u @t2373)) % 0.87/1.15 (define @t2375 () (@var "BOUND_VARIABLE_9991" $$unsorted)) % 0.87/1.15 (define @t2376 () (@list @t1 @t2375)) % 0.87/1.15 (define @t2377 () (tptp.in @t2375 @t1)) % 0.87/1.15 (define @t2378 () (or @t2158 (= @t2377 @t2377))) % 0.87/1.15 (define @t2379 () (= (tptp.in @t2375 @t2) @t2377)) % 0.87/1.15 (define @t2380 () (or @t443 @t443 @t2379)) % 0.87/1.15 (define @t2381 () (or @t443 @t2379)) % 0.87/1.15 (define @t2382 () (forall @t64 @t2381)) % 0.87/1.15 (define @t2383 () (forall @t2376 @t2382)) % 0.87/1.15 (define @t2384 () (forall (@list @t1 @t2375 @t2) @t2381)) % 0.87/1.15 (define @t2385 () (forall (@list @t2 @t1 @t2375) @t2381)) % 0.87/1.15 (define @t2386 () (@list @t2375)) % 0.87/1.15 (define @t2387 () (forall @t2386 @t2381)) % 0.87/1.15 (define @t2388 () (forall @t2386 @t2379)) % 0.87/1.15 (define @t2389 () (or @t443 @t2388)) % 0.87/1.15 (define @t2390 () (= @t1050 @t1894)) % 0.87/1.15 (define @t2391 () (forall @t70 @t2390)) % 0.87/1.15 (define @t2392 () (or @t1571 @t2390)) % 0.87/1.15 (define @t2393 () (= @t1034 @t1894)) % 0.87/1.15 (define @t2394 () (or @t282 @t282 @t2393)) % 0.87/1.15 (define @t2395 () (or @t282 @t2393)) % 0.87/1.15 (define @t2396 () (forall @t9 @t2395)) % 0.87/1.15 (define @t2397 () (forall @t70 @t2396)) % 0.87/1.15 (define @t2398 () (forall @t1579 @t2395)) % 0.87/1.15 (define @t2399 () (or @t282 @t358)) % 0.87/1.15 (define @t2400 () (=> tptp.in__Cong @t2374)) % 0.87/1.15 (define @t2401 () (@var "BOUND_VARIABLE_9954" $$unsorted)) % 0.87/1.15 (define @t2402 () (@list @t1 @t2401)) % 0.87/1.15 (define @t2403 () (tptp.in @t2401 @t1)) % 0.87/1.15 (define @t2404 () (not @t2403)) % 0.87/1.15 (define @t2405 () (or @t2404 @t2403)) % 0.87/1.15 (define @t2406 () (or @t2158 @t2404 @t2403)) % 0.87/1.15 (define @t2407 () (not (tptp.in @t2401 @t2))) % 0.87/1.15 (define @t2408 () (or @t443 @t443 @t2407 @t2403)) % 0.87/1.15 (define @t2409 () (or @t443 @t2407 @t2403)) % 0.87/1.15 (define @t2410 () (forall @t64 @t2409)) % 0.87/1.15 (define @t2411 () (forall @t2402 @t2410)) % 0.87/1.15 (define @t2412 () (forall (@list @t1 @t2401 @t2) @t2409)) % 0.87/1.15 (define @t2413 () (@list @t2 @t1 @t2401)) % 0.87/1.15 (define @t2414 () (or @t2407 @t2403)) % 0.87/1.15 (define @t2415 () (or @t443 @t2414)) % 0.87/1.15 (define @t2416 () (forall @t2413 @t2415)) % 0.87/1.15 (define @t2417 () (@list @t2401)) % 0.87/1.15 (define @t2418 () (forall @t2417 @t2415)) % 0.87/1.15 (define @t2419 () (forall @t2417 @t2414)) % 0.87/1.15 (define @t2420 () (or @t443 @t2419)) % 0.87/1.15 (define @t2421 () (or @t1051 @t1894)) % 0.87/1.15 (define @t2422 () (forall @t70 @t2421)) % 0.87/1.15 (define @t2423 () (or @t1571 @t1051 @t1894)) % 0.87/1.15 (define @t2424 () (or @t282 @t282 @t1035 @t1894)) % 0.87/1.15 (define @t2425 () (or @t282 @t1035 @t1894)) % 0.87/1.15 (define @t2426 () (forall @t9 @t2425)) % 0.87/1.15 (define @t2427 () (forall @t70 @t2426)) % 0.87/1.15 (define @t2428 () (forall @t1579 @t2425)) % 0.87/1.15 (define @t2429 () (or @t282 @t197 @t352)) % 0.87/1.15 (define @t2430 () (=> tptp.inCongP @t2400)) % 0.87/1.15 (define @t2431 () (= @t1235 @t19)) % 0.87/1.15 (define @t2432 () (forall @t70 (= @t2431 @t1048))) % 0.87/1.15 (define @t2433 () (not @t2432)) % 0.87/1.15 (define @t2434 () (or @t2433 @t1232)) % 0.87/1.15 (define @t2435 () (forall @t1236 @t2434)) % 0.87/1.15 (define @t2436 () (@list @t1235)) % 0.87/1.15 (define @t2437 () (forall @t2436 @t2434)) % 0.87/1.15 (define @t2438 () (forall @t2436 @t2433)) % 0.87/1.15 (define @t2439 () (or @t2438 @t1232)) % 0.87/1.15 (define @t2440 () (= @t153 @t129)) % 0.87/1.15 (define @t2441 () (=> @t265 @t2291)) % 0.87/1.15 (define @t2442 () (forall @t150 @t2441)) % 0.87/1.15 (define @t2443 () (=> tptp.exuI2 @t2430)) % 0.87/1.15 (define @t2444 () (@list @t1240)) % 0.87/1.15 (define @t2445 () (forall @t2444 @t1242)) % 0.87/1.15 (define @t2446 () (forall @t2444 @t1241)) % 0.87/1.15 (define @t2447 () (or @t2446 @t1239 @t1232)) % 0.87/1.15 (define @t2448 () (or @t1349 @t1239 @t1232)) % 0.87/1.15 (define @t2449 () (=> @t1238 @t1232)) % 0.87/1.15 (define @t2450 () (=> @t344 @t2291)) % 0.87/1.15 (define @t2451 () (forall @t9 @t315)) % 0.87/1.15 (define @t2452 () (not @t2451)) % 0.87/1.15 (define @t2453 () (=> @t186 @t2450)) % 0.87/1.15 (define @t2454 () (forall @t150 @t2453)) % 0.87/1.15 (define @t2455 () (=> tptp.exuI3 @t2443)) % 0.87/1.15 (define @t2456 () (=> @t169 @t2291)) % 0.87/1.15 (define @t2457 () (forall @t150 @t2456)) % 0.87/1.15 (define @t2458 () (=> tptp.exuI1 @t2455)) % 0.87/1.15 (define @t2459 () (forall @t9 (or @t1035 @t1032))) % 0.87/1.15 (define @t2460 () (not @t2459)) % 0.87/1.15 (define @t2461 () (or @t197 @t144)) % 0.87/1.15 (define @t2462 () (forall @t9 (not @t316))) % 0.87/1.15 (define @t2463 () (not @t2462)) % 0.87/1.15 (define @t2464 () (=> tptp.notdallE @t2458)) % 0.87/1.15 (define @t2465 () (=> tptp.notdexE @t2464)) % 0.87/1.15 (define @t2466 () (or @t1557 @t1246)) % 0.87/1.15 (define @t2467 () (tptp.prop2set @t173)) % 0.87/1.15 (define @t2468 () (tptp.set2prop @t2467)) % 0.87/1.15 (define @t2469 () (not (= @t173 true))) % 0.87/1.15 (define @t2470 () (or @t2034 @t2034 @t2468)) % 0.87/1.15 (define @t2471 () (or @t2034 @t2468)) % 0.87/1.15 (define @t2472 () (or @t2034 @t337)) % 0.87/1.15 (define @t2473 () (=> tptp.prop2set2propI @t2465)) % 0.87/1.15 (define @t2474 () (or @t1557 @t1248)) % 0.87/1.15 (define @t2475 () (tptp.in tptp.emptyset @t2467)) % 0.87/1.15 (define @t2476 () (or @t2034 @t2034 @t2475)) % 0.87/1.15 (define @t2477 () (or @t2034 @t2475)) % 0.87/1.15 (define @t2478 () (or @t2034 @t334)) % 0.87/1.15 (define @t2479 () (=> tptp.prop2setI @t2473)) % 0.87/1.15 (define @t2480 () (=> tptp.quantDeMorgan4 @t2479)) % 0.87/1.15 (define @t2481 () (=> tptp.quantDeMorgan3 @t2480)) % 0.87/1.15 (define @t2482 () (=> tptp.quantDeMorgan2 @t2481)) % 0.87/1.15 (define @t2483 () (=> tptp.quantDeMorgan1 @t2482)) % 0.87/1.15 (define @t2484 () (or @t16 @t144)) % 0.87/1.15 (define @t2485 () (=> tptp.vacuousDall @t2483)) % 0.87/1.15 (define @t2486 () (or @t1256 @t1255)) % 0.87/1.15 (define @t2487 () (or @t2486 @t1257)) % 0.87/1.15 (define @t2488 () (forall @t1259 @t2487)) % 0.87/1.15 (define @t2489 () (@list @t1254)) % 0.87/1.15 (define @t2490 () (forall @t2489 @t2487)) % 0.87/1.15 (define @t2491 () (forall @t2489 @t2486)) % 0.87/1.15 (define @t2492 () (or @t2491 @t1257)) % 0.87/1.15 (define @t2493 () (= tptp.emptyset @t2129)) % 0.87/1.15 (define @t2494 () (not @t2493)) % 0.87/1.15 (define @t2495 () (or @t1057 @t2494)) % 0.87/1.15 (define @t2496 () (= tptp.emptyset @t304)) % 0.87/1.15 (define @t2497 () (not @t2496)) % 0.87/1.15 (define @t2498 () (or @t1057 @t2497)) % 0.87/1.15 (define @t2499 () (=> tptp.emptyE1 @t2485)) % 0.87/1.15 (define @t2500 () (=> tptp.upairsetIR @t2499)) % 0.87/1.15 (define @t2501 () (=> tptp.upairsetIL @t2500)) % 0.87/1.15 (define @t2502 () (=> tptp.upairsetE @t2501)) % 0.87/1.15 (define @t2503 () (not @t276)) % 0.87/1.15 (define @t2504 () (or @t2503 @t280)) % 0.87/1.15 (define @t2505 () (=> tptp.singletonsswitch @t2502)) % 0.87/1.15 (define @t2506 () (or @t1571 @t1272)) % 0.87/1.15 (define @t2507 () (or @t282 @t282 @t1268)) % 0.87/1.15 (define @t2508 () (or @t282 @t1268)) % 0.87/1.15 (define @t2509 () (forall @t9 @t2508)) % 0.87/1.15 (define @t2510 () (forall @t70 @t2509)) % 0.87/1.15 (define @t2511 () (forall @t1579 @t2508)) % 0.87/1.15 (define @t2512 () (or @t282 @t276)) % 0.87/1.15 (define @t2513 () (=> tptp.eqinunit @t2505)) % 0.87/1.15 (define @t2514 () (or @t129 @t281)) % 0.87/1.15 (define @t2515 () (=> tptp.notinsingleton @t2513)) % 0.87/1.15 (define @t2516 () (or @t2503 @t129)) % 0.87/1.15 (define @t2517 () (=> tptp.uniqinunit @t2515)) % 0.87/1.15 (define @t2518 () (not @t196)) % 0.87/1.15 (define @t2519 () (not @t198)) % 0.87/1.15 (define @t2520 () (_ @t961 @t2)) % 0.87/1.15 (define @t2521 () (=> @t2520 @t270)) % 0.87/1.15 (define @t2522 () (forall @t64 @t2521)) % 0.87/1.15 (define @t2523 () (=> tptp.nonemptyImpWitness @t2517)) % 0.87/1.15 (define @t2524 () (or @t1049 (= @t1283 @t19))) % 0.87/1.15 (define @t2525 () (forall @t70 @t2524)) % 0.87/1.15 (define @t2526 () (not @t2525)) % 0.87/1.15 (define @t2527 () (or @t1287 @t1284 @t2526)) % 0.87/1.15 (define @t2528 () (or @t1284 @t2526)) % 0.87/1.15 (define @t2529 () (or @t2528 @t1287)) % 0.87/1.15 (define @t2530 () (forall @t1288 @t2529)) % 0.87/1.15 (define @t2531 () (@list @t1283)) % 0.87/1.15 (define @t2532 () (forall @t2531 @t2529)) % 0.87/1.15 (define @t2533 () (forall @t2531 @t2528)) % 0.87/1.15 (define @t2534 () (or @t2533 @t1287)) % 0.87/1.15 (define @t2535 () (=> @t2291 @t265)) % 0.87/1.15 (define @t2536 () (forall @t150 @t2535)) % 0.87/1.15 (define @t2537 () (=> tptp.exuE2 @t2523)) % 0.87/1.15 (define @t2538 () (or @t197 @t260)) % 0.87/1.15 (define @t2539 () (=> tptp.subPowSU @t2537)) % 0.87/1.15 (define @t2540 () (or @t1708 @t1298)) % 0.87/1.15 (define @t2541 () (and @t2029 @t1298)) % 0.87/1.15 (define @t2542 () (or @t2541 false)) % 0.87/1.15 (define @t2543 () (and @t2034 @t1298)) % 0.87/1.15 (define @t2544 () (or @t173 @t2543 @t173)) % 0.87/1.15 (define @t2545 () (or @t2543 @t173)) % 0.87/1.15 (define @t2546 () (or @t173 @t1297)) % 0.87/1.15 (define @t2547 () (not @t39)) % 0.87/1.15 (define @t2548 () (or @t435 @t2547)) % 0.87/1.15 (define @t2549 () (forall @t41 @t2548)) % 0.87/1.15 (define @t2550 () (or @t173 @t2549)) % 0.87/1.15 (define @t2551 () (or @t173 @t2548)) % 0.87/1.15 (define @t2552 () (or @t435 @t2547 @t173)) % 0.87/1.15 (define @t2553 () (=> tptp.setunionE @t2539)) % 0.87/1.15 (define @t2554 () (or @t435 @t2547 @t44)) % 0.87/1.15 (define @t2555 () (=> tptp.setunionI @t2553)) % 0.87/1.15 (define @t2556 () (or @t2137 @t435 @t7)) % 0.87/1.15 (define @t2557 () (or @t435 @t7)) % 0.87/1.15 (define @t2558 () (=> tptp.powersetE @t2555)) % 0.87/1.15 (define @t2559 () (=> tptp.emptyInPowerset @t2558)) % 0.87/1.15 (define @t2560 () (=> tptp.emptyinPowerset @t2559)) % 0.87/1.15 (define @t2561 () (or @t1310 @t35)) % 0.87/1.15 (define @t2562 () (=> tptp.powersetI @t2560)) % 0.87/1.15 (define @t2563 () (_ @t155 @t1314)) % 0.87/1.15 (define @t2564 () (= @t2 @t2563)) % 0.87/1.15 (define @t2565 () (=> tptp.setoftrueEq @t2562)) % 0.87/1.15 (define @t2566 () (not @t26)) % 0.87/1.15 (define @t2567 () (or @t2566 @t129 @t21)) % 0.87/1.15 (define @t2568 () (or @t129 @t21)) % 0.87/1.15 (define @t2569 () (=> tptp.setadjoinOr @t2565)) % 0.87/1.15 (define @t2570 () (or @t2566 @t129 @t1050)) % 0.87/1.15 (define @t2571 () (and @t1050 @t2029)) % 0.87/1.15 (define @t2572 () (and @t129 @t2029)) % 0.87/1.15 (define @t2573 () (or @t2572 @t2571)) % 0.87/1.15 (define @t2574 () (or @t2572 @t2571 false)) % 0.87/1.15 (define @t2575 () (and @t1050 @t2034)) % 0.87/1.15 (define @t2576 () (and @t129 @t2034)) % 0.87/1.15 (define @t2577 () (or @t173 @t2576 @t2575 @t173)) % 0.87/1.15 (define @t2578 () (or @t2576 @t2575 @t173)) % 0.87/1.15 (define @t2579 () (and @t21 @t2034)) % 0.87/1.15 (define @t2580 () (or @t2576 @t2579 @t173)) % 0.87/1.15 (define @t2581 () (=> @t129 @t173)) % 0.87/1.15 (define @t2582 () (=> tptp.setadjoinE @t2569)) % 0.87/1.15 (define @t2583 () (or @t1782 @t26)) % 0.87/1.15 (define @t2584 () (=> tptp.setadjoinIR @t2582)) % 0.87/1.15 (define @t2585 () (=> tptp.emptyinunitempty @t2584)) % 0.87/1.15 (define @t2586 () (=> tptp.setadjoinIL @t2585)) % 0.87/1.15 (define @t2587 () (not @t379)) % 0.87/1.15 (define @t2588 () (or @t1332 @t2587)) % 0.87/1.15 (define @t2589 () (not (tptp.in @t1331 @t2))) % 0.87/1.15 (define @t2590 () (or @t2518 @t2589 @t2518)) % 0.87/1.15 (define @t2591 () (or @t2589 @t2518)) % 0.87/1.15 (define @t2592 () (forall @t64 @t2591)) % 0.87/1.15 (define @t2593 () (forall @t1333 @t2592)) % 0.87/1.15 (define @t2594 () (forall (@list @t1331 @t2) @t2591)) % 0.87/1.15 (define @t2595 () (forall (@list @t2 @t1331) @t2591)) % 0.87/1.15 (define @t2596 () (forall @t1333 @t2591)) % 0.87/1.15 (define @t2597 () (forall @t1333 @t2589)) % 0.87/1.15 (define @t2598 () (or @t2597 @t2518)) % 0.87/1.15 (define @t2599 () (not @t1280)) % 0.87/1.15 (define @t2600 () (=> @t89 @t2520)) % 0.87/1.15 (define @t2601 () (forall @t64 @t2600)) % 0.87/1.15 (define @t2602 () (=> tptp.nonemptyI1 @t2586)) % 0.87/1.15 (define @t2603 () (= tptp.emptyset @t1836)) % 0.87/1.15 (define @t2604 () (not @t2603)) % 0.87/1.15 (define @t2605 () (or @t1035 @t1033 @t2604)) % 0.87/1.15 (define @t2606 () (= tptp.emptyset @t156)) % 0.87/1.15 (define @t2607 () (not @t2606)) % 0.87/1.15 (define @t2608 () (or @t197 @t315 @t2607)) % 0.87/1.15 (define @t2609 () (=> @t144 @t2607)) % 0.87/1.15 (define @t2610 () (not (= @t156 tptp.emptyset))) % 0.87/1.15 (define @t2611 () (_ @t961 @t156)) % 0.87/1.15 (define @t2612 () (=> @t144 @t2611)) % 0.87/1.15 (define @t2613 () (=> @t7 @t2612)) % 0.87/1.15 (define @t2614 () (forall @t159 @t2613)) % 0.87/1.15 (define @t2615 () (=> tptp.nonemptyI @t2602)) % 0.87/1.15 (define @t2616 () (=> @t2520 @t89)) % 0.87/1.15 (define @t2617 () (forall @t64 @t2616)) % 0.87/1.15 (define @t2618 () (=> tptp.nonemptyE1 @t2615)) % 0.87/1.15 (define @t2619 () (= @t1032 @t1839)) % 0.87/1.15 (define @t2620 () (or @t1035 @t2619)) % 0.87/1.15 (define @t2621 () (= @t144 @t157)) % 0.87/1.15 (define @t2622 () (or @t197 @t2621)) % 0.87/1.15 (define @t2623 () (=> tptp.setbeta @t2618)) % 0.87/1.15 (define @t2624 () (=> tptp.noeltsimpempty @t2623)) % 0.87/1.15 (define @t2625 () (=> tptp.emptyI @t2624)) % 0.87/1.15 (define @t2626 () (=> @t1309 @t3)) % 0.87/1.15 (define @t2627 () (=> tptp.setext @t2625)) % 0.87/1.15 (define @t2628 () (or @t1049 (= @t1347 @t19))) % 0.87/1.15 (define @t2629 () (forall @t70 @t2628)) % 0.87/1.15 (define @t2630 () (not @t2629)) % 0.87/1.15 (define @t2631 () (or @t1350 @t1348 @t2630)) % 0.87/1.15 (define @t2632 () (or @t1348 @t2630)) % 0.87/1.15 (define @t2633 () (or @t2632 @t1350)) % 0.87/1.15 (define @t2634 () (forall @t1351 @t2633)) % 0.87/1.15 (define @t2635 () (@list @t1347)) % 0.87/1.15 (define @t2636 () (forall @t2635 @t2633)) % 0.87/1.15 (define @t2637 () (forall @t2635 @t2632)) % 0.87/1.15 (define @t2638 () (or @t2637 @t1350)) % 0.87/1.15 (define @t2639 () (=> @t2291 @t186)) % 0.87/1.15 (define @t2640 () (forall @t150 @t2639)) % 0.87/1.15 (define @t2641 () (=> tptp.exuE3e @t2627)) % 0.87/1.15 (define @t2642 () (=> tptp.notinemptyset @t2641)) % 0.87/1.15 (define @t2643 () (=> tptp.emptysetimpfalse @t2642)) % 0.87/1.15 (define @t2644 () (or @t173 @t173)) % 0.87/1.15 (define @t2645 () (=> tptp.emptysetE @t2643)) % 0.87/1.15 (define @t2646 () (or @t1358 false)) % 0.87/1.15 (define @t2647 () (tptp.in @t4 @t2467)) % 0.87/1.15 (define @t2648 () (not @t2647)) % 0.87/1.15 (define @t2649 () (or @t173 @t2648 @t173)) % 0.87/1.15 (define @t2650 () (or @t2648 @t173)) % 0.87/1.15 (define @t2651 () (forall @t179 @t2650)) % 0.87/1.15 (define @t2652 () (forall @t9 @t2651)) % 0.87/1.15 (define @t2653 () (forall (@list @t4 @t173) @t2650)) % 0.87/1.15 (define @t2654 () (not @t175)) % 0.87/1.15 (define @t2655 () (or @t2654 @t173)) % 0.87/1.15 (define @t2656 () (=> tptp.prop2setE @t2645)) % 0.87/1.15 (define @t2657 () (=> @t2291 @t169)) % 0.87/1.15 (define @t2658 () (forall @t150 @t2657)) % 0.87/1.15 (define @t2659 () (=> tptp.exuE1 @t2656)) % 0.87/1.15 (define @t2660 () (or @t1840 @t1032)) % 0.87/1.15 (define @t2661 () (not @t157)) % 0.87/1.15 (define @t2662 () (or @t2661 @t144)) % 0.87/1.15 (define @t2663 () (=> tptp.dsetconstrER @t2659)) % 0.87/1.15 (define @t2664 () (or @t1840 @t1034)) % 0.87/1.15 (define @t2665 () (or @t2661 @t7)) % 0.87/1.15 (define @t2666 () (=> tptp.dsetconstrEL @t2663)) % 0.87/1.15 (define @t2667 () (or @t1035 @t1033 @t1839)) % 0.87/1.15 (define @t2668 () (or @t197 @t315 @t157)) % 0.87/1.15 (define @t2669 () (=> tptp.dsetconstrI @t2666)) % 0.87/1.15 (define @t2670 () (or @t1049 (= @t1367 @t19))) % 0.87/1.15 (define @t2671 () (forall @t70 @t2670)) % 0.87/1.15 (define @t2672 () (not @t2671)) % 0.87/1.15 (define @t2673 () (or @t1369 @t1368 @t2672)) % 0.87/1.15 (define @t2674 () (or @t1368 @t2672)) % 0.87/1.15 (define @t2675 () (or @t2674 @t1369)) % 0.87/1.15 (define @t2676 () (forall @t1370 @t2675)) % 0.87/1.15 (define @t2677 () (@list @t1367)) % 0.87/1.15 (define @t2678 () (forall @t2677 @t2675)) % 0.87/1.15 (define @t2679 () (forall @t2677 @t2674)) % 0.87/1.15 (define @t2680 () (or @t2679 @t1369)) % 0.87/1.15 (define @t2681 () (_ @t143 @t2255)) % 0.87/1.15 (define @t2682 () (or @t1231 @t2681)) % 0.87/1.15 (define @t2683 () (or @t1231 @t147)) % 0.87/1.15 (define @t2684 () (=> @t2291 @t147)) % 0.87/1.15 (define @t2685 () (forall @t150 @t2684)) % 0.87/1.15 (define @t2686 () (=> tptp.descrp @t2669)) % 0.87/1.15 (define @t2687 () (and @t1420 @t1413 @t1409 @t1397)) % 0.87/1.15 (define @t2688 () (forall @t41 (not @t2687))) % 0.87/1.15 (define @t2689 () (not @t2688)) % 0.87/1.15 (define @t2690 () (@list @t1392)) % 0.87/1.15 (define @t2691 () (forall @t2690 @t1396)) % 0.87/1.15 (define @t2692 () (forall @t2690 @t1393)) % 0.87/1.15 (define @t2693 () (or @t1395 @t2692 @t1391)) % 0.87/1.15 (define @t2694 () (forall @t9 @t1388)) % 0.87/1.15 (define @t2695 () (or @t1395 @t2694 @t1391)) % 0.87/1.15 (define @t2696 () (not @t2694)) % 0.87/1.15 (define @t2697 () (and @t1394 @t2696)) % 0.87/1.15 (define @t2698 () (not @t109)) % 0.87/1.15 (define @t2699 () (not @t110)) % 0.87/1.15 (define @t2700 () (or @t2699 @t2698 @t1386 @t1382)) % 0.87/1.15 (define @t2701 () (and @t110 @t109 @t1385 @t1381)) % 0.87/1.15 (define @t2702 () (forall @t112 (not @t2701))) % 0.87/1.15 (define @t2703 () (not @t2702)) % 0.87/1.15 (define @t2704 () (or @t1375 @t1374)) % 0.87/1.15 (define @t2705 () (or @t1378 @t2704 @t1376)) % 0.87/1.15 (define @t2706 () (forall @t1380 @t2705)) % 0.87/1.15 (define @t2707 () (@list @t1373)) % 0.87/1.15 (define @t2708 () (forall @t2707 @t2705)) % 0.97/1.15 (define @t2709 () (forall @t2707 @t2704)) % 0.97/1.15 (define @t2710 () (or @t1378 @t2709 @t1376)) % 0.97/1.15 (define @t2711 () (tptp.in @t19 @t93)) % 0.97/1.15 (define @t2712 () (forall @t70 (or (not @t2711) @t1384))) % 0.97/1.15 (define @t2713 () (not @t100)) % 0.97/1.15 (define @t2714 () (or @t2713 @t2712 @t94)) % 0.97/1.15 (define @t2715 () (or @t2712 @t94)) % 0.97/1.15 (define @t2716 () (not @t97)) % 0.97/1.15 (define @t2717 () (or @t2716 @t96)) % 0.97/1.15 (define @t2718 () (not @t105)) % 0.97/1.15 (define @t2719 () (not @t96)) % 0.97/1.15 (define @t2720 () (or @t2719 @t2718)) % 0.97/1.15 (define @t2721 () (forall @t70 (not @t106))) % 0.97/1.15 (define @t2722 () (not @t2721)) % 0.97/1.15 (define @t2723 () (forall @t9 @t2698)) % 0.97/1.15 (define @t2724 () (not @t2723)) % 0.97/1.15 (define @t2725 () (or @t2698 @t7)) % 0.97/1.15 (define @t2726 () (or @t1401 @t1400)) % 0.97/1.15 (define @t2727 () (or @t1404 @t1403)) % 0.97/1.15 (define @t2728 () (or @t1406 @t1390 @t2727 @t2726)) % 0.97/1.15 (define @t2729 () (forall @t1408 @t2728)) % 0.97/1.15 (define @t2730 () (forall (@list @t1402 @t1399) @t2728)) % 0.97/1.15 (define @t2731 () (forall (@list @t1399) @t2726)) % 0.97/1.15 (define @t2732 () (forall (@list @t1402) @t2727)) % 0.97/1.15 (define @t2733 () (or @t1406 @t1390 @t2732 @t2731)) % 0.97/1.15 (define @t2734 () (tptp.in @t4 @t95)) % 0.97/1.15 (define @t2735 () (forall @t9 (or (not @t2734) @t1387))) % 0.97/1.15 (define @t2736 () (forall @t9 (or @t1388 @t2734))) % 0.97/1.15 (define @t2737 () (not @t124)) % 0.97/1.15 (define @t2738 () (or @t2737 @t2699 @t2736 @t2735)) % 0.97/1.15 (define @t2739 () (or @t2736 @t2735)) % 0.97/1.15 (define @t2740 () (not @t120)) % 0.97/1.15 (define @t2741 () (or @t2740 @t109)) % 0.97/1.15 (define @t2742 () (or @t2698 @t120)) % 0.97/1.15 (define @t2743 () (or @t197 @t1782 @t1412 @t129)) % 0.97/1.15 (define @t2744 () (=> @t1411 @t129)) % 0.97/1.15 (define @t2745 () (or @t2737 @t130)) % 0.97/1.15 (define @t2746 () (or @t1417 @t1416)) % 0.97/1.15 (define @t2747 () (or @t1406 @t2746)) % 0.97/1.15 (define @t2748 () (forall @t1419 @t2747)) % 0.97/1.15 (define @t2749 () (@list @t1415)) % 0.97/1.15 (define @t2750 () (forall @t2749 @t2747)) % 0.97/1.15 (define @t2751 () (forall @t2749 @t2746)) % 0.97/1.15 (define @t2752 () (or @t1406 @t2751)) % 0.97/1.15 (define @t2753 () (or @t2737 @t1394)) % 0.97/1.15 (define @t2754 () (=> tptp.wellorderingAx @t2686)) % 0.97/1.15 (define @t2755 () (@list @t1428)) % 0.97/1.15 (define @t2756 () (forall @t2755 @t1430)) % 0.97/1.15 (define @t2757 () (forall @t2755 @t1429)) % 0.97/1.15 (define @t2758 () (or @t2757 @t1427)) % 0.97/1.15 (define @t2759 () (or @t2547 @t1426)) % 0.97/1.15 (define @t2760 () (and @t39 @t1425)) % 0.97/1.15 (define @t2761 () (forall @t41 (not @t2760))) % 0.97/1.15 (define @t2762 () (not @t2761)) % 0.97/1.15 (define @t2763 () (or @t435 @t197)) % 0.97/1.15 (define @t2764 () (forall @t9 (not @t84))) % 0.97/1.15 (define @t2765 () (not @t2764)) % 0.97/1.15 (define @t2766 () (=> tptp.foundationAx @t2754)) % 0.97/1.15 (define @t2767 () (= @t6 @t1434)) % 0.97/1.15 (define @t2768 () (not @t68)) % 0.97/1.15 (define @t2769 () (or @t1782 @t2768)) % 0.97/1.15 (define @t2770 () (forall @t70 (not @t69))) % 0.97/1.15 (define @t2771 () (not @t2770)) % 0.97/1.15 (define @t2772 () (or @t197 @t1443)) % 0.97/1.15 (define @t2773 () (_ @t75 @t1437)) % 0.97/1.15 (define @t2774 () (not @t2773)) % 0.97/1.15 (define @t2775 () (or @t2774 @t1440)) % 0.97/1.15 (define @t2776 () (not @t76)) % 0.97/1.15 (define @t2777 () (or @t2776 @t1438)) % 0.97/1.15 (define @t2778 () (_ @t77 @t19)) % 0.97/1.15 (define @t2779 () (not @t2778)) % 0.97/1.15 (define @t2780 () (or @t2779 @t1438)) % 0.97/1.15 (define @t2781 () (forall @t70 @t2780)) % 0.97/1.15 (define @t2782 () (not @t2781)) % 0.97/1.15 (define @t2783 () (_ @t77 @t1437)) % 0.97/1.15 (define @t2784 () (not @t2783)) % 0.97/1.15 (define @t2785 () (or @t2784 @t2782)) % 0.97/1.15 (define @t2786 () (forall @t1442 @t2785)) % 0.97/1.15 (define @t2787 () (not @t2786)) % 0.97/1.15 (define @t2788 () (not (_ @t143 @t1437))) % 0.97/1.15 (define @t2789 () (or @t1049 (= @t1437 @t19))) % 0.97/1.15 (define @t2790 () (forall @t70 @t2789)) % 0.97/1.15 (define @t2791 () (not @t2790)) % 0.97/1.15 (define @t2792 () (or @t2788 @t2791)) % 0.97/1.15 (define @t2793 () (forall @t1442 @t2792)) % 0.97/1.15 (define @t2794 () (not @t2793)) % 0.97/1.15 (define @t2795 () (=> @t7 (_ @t2277 @t77))) % 0.97/1.15 (define @t2796 () (forall @t9 @t2795)) % 0.97/1.15 (define @t2797 () (=> @t2796 @t74)) % 0.97/1.15 (define @t2798 () (forall @t81 @t2797)) % 0.97/1.15 (define @t2799 () (=> tptp.replAx @t2766)) % 0.97/1.15 (define @t2800 () (or @t1449 @t1448)) % 0.97/1.15 (define @t2801 () (or @t1457 @t1455 @t2800)) % 0.97/1.15 (define @t2802 () (forall @t1459 @t2801)) % 0.97/1.15 (define @t2803 () (@list @t1447)) % 0.97/1.15 (define @t2804 () (forall @t2803 @t2801)) % 0.97/1.15 (define @t2805 () (forall @t2803 @t2800)) % 0.97/1.15 (define @t2806 () (or @t1457 @t1455 @t2805)) % 0.97/1.15 (define @t2807 () (forall @t9 (or @t1453 @t1034))) % 0.97/1.15 (define @t2808 () (not @t61)) % 0.97/1.15 (define @t2809 () (or @t2808 @t1455 @t2807)) % 0.97/1.15 (define @t2810 () (and @t61 @t1454)) % 0.97/1.15 (define @t2811 () (not @t54)) % 0.97/1.15 (define @t2812 () (or @t2811 @t7)) % 0.97/1.15 (define @t2813 () (_ tptp.in @t1450)) % 0.97/1.15 (define @t2814 () (or @t2811 @t197 @t58)) % 0.97/1.15 (define @t2815 () (=> tptp.omegaIndAx @t2799)) % 0.97/1.15 (define @t2816 () (or @t2811 @t53)) % 0.97/1.15 (define @t2817 () (=> tptp.omegaSAx @t2815)) % 0.97/1.15 (define @t2818 () (=> tptp.omega0Ax @t2817)) % 0.97/1.15 (define @t2819 () (= @t44 @t1298)) % 0.97/1.15 (define @t2820 () (forall @t41 (not @t40))) % 0.97/1.15 (define @t2821 () (not @t2820)) % 0.97/1.15 (define @t2822 () (=> tptp.setunionAx @t2818)) % 0.97/1.15 (define @t2823 () (= @t35 @t1309)) % 0.97/1.15 (define @t2824 () (=> tptp.powersetAx @t2822)) % 0.97/1.15 (define @t2825 () (= @t26 @t2568)) % 0.97/1.15 (define @t2826 () (=> tptp.setadjoinAx @t2824)) % 0.97/1.15 (define @t2827 () (=> tptp.emptysetAx @t2826)) % 0.97/1.15 (define @t2828 () (=> tptp.setextAx @t2827)) % 0.97/1.15 (define @t2829 () (not @t789)) % 0.97/1.15 (define @t2830 () (or @t2829 @t129)) % 0.97/1.15 (define @t2831 () (@quantifiers_skolemize @t978 1)) % 0.97/1.15 (define @t2832 () (@quantifiers_skolemize @t978 0)) % 0.97/1.15 (define @t2833 () (= @t2832 @t2831)) % 0.97/1.15 (define @t2834 () (@quantifiers_skolemize @t978 2)) % 0.97/1.15 (define @t2835 () (tptp.setadjoin @t2834 tptp.emptyset)) % 0.97/1.15 (define @t2836 () (tptp.setadjoin @t2831 tptp.emptyset)) % 0.97/1.15 (define @t2837 () (= (tptp.setadjoin @t2832 @t2836) @t2835)) % 0.97/1.15 (define @t2838 () (not @t2837)) % 0.97/1.15 (define @t2839 () (or @t2838 @t2833)) % 0.97/1.15 (define @t2840 () (not @t2833)) % 0.97/1.15 (define @t2841 () (@list true)) % 0.97/1.15 (define @t2842 () (@list @t2839)) % 0.97/1.15 (define @t2843 () (tptp.setadjoin @t2834 @t2835)) % 0.97/1.15 (define @t2844 () (tptp.in @t2831 @t2843)) % 0.97/1.15 (define @t2845 () (not @t2844)) % 0.97/1.15 (define @t2846 () (= @t2834 @t2831)) % 0.97/1.15 (define @t2847 () (or @t2845 @t2846 @t2846)) % 0.97/1.15 (define @t2848 () (= @t2831 @t2834)) % 0.97/1.15 (define @t2849 () (or @t2845 @t2848 @t2848)) % 0.97/1.15 (define @t2850 () (@list false)) % 0.97/1.15 (define @t2851 () (@list @t1116)) % 0.97/1.15 (define @t2852 () (@list false false)) % 0.97/1.15 (define @t2853 () (tptp.in @t2832 @t2843)) % 0.97/1.15 (define @t2854 () (not @t2853)) % 0.97/1.15 (define @t2855 () (= @t2834 @t2832)) % 0.97/1.15 (define @t2856 () (or @t2854 @t2855 @t2855)) % 0.97/1.15 (define @t2857 () (= @t2832 @t2834)) % 0.97/1.15 (define @t2858 () (or @t2854 @t2857 @t2857)) % 0.97/1.15 (define @t2859 () (not @t2857)) % 0.97/1.15 (define @t2860 () (not @t2848)) % 0.97/1.15 (define @t2861 () (and @t2840 @t2848)) % 0.97/1.15 (assume @p1 @t14) % 0.97/1.15 (assume @p2 @t18) % 0.97/1.15 (assume @p3 @t30) % 0.97/1.15 (assume @p4 @t38) % 0.97/1.15 (assume @p5 @t48) % 0.97/1.15 (assume @p6 (= tptp.omega0Ax @t50)) % 0.97/1.15 (assume @p7 @t56) % 0.97/1.15 (assume @p8 @t66) % 0.97/1.15 (assume @p9 @t83) % 0.97/1.15 (assume @p10 @t92) % 0.97/1.15 (assume @p11 @t142) % 0.97/1.15 (assume @p12 @t152) % 0.97/1.15 (assume @p13 @t161) % 0.97/1.15 (assume @p14 @t163) % 0.97/1.15 (assume @p15 @t165) % 0.97/1.15 (assume @p16 @t172) % 0.97/1.15 (assume @p17 @t178) % 0.97/1.15 (assume @p18 @t183) % 0.97/1.15 (assume @p19 @t185) % 0.97/1.15 (assume @p20 (= tptp.notinemptyset @t17)) % 0.97/1.15 (assume @p21 @t189) % 0.97/1.15 (assume @p22 @t195) % 0.97/1.15 (assume @p23 @t201) % 0.97/1.15 (assume @p24 (= tptp.noeltsimpempty @t200)) % 0.97/1.15 (assume @p25 @t204) % 0.97/1.15 (assume @p26 @t208) % 0.97/1.15 (assume @p27 @t212) % 0.97/1.15 (assume @p28 @t215) % 0.97/1.15 (assume @p29 @t219) % 0.97/1.15 (assume @p30 (= tptp.emptyinunitempty @t221)) % 0.97/1.15 (assume @p31 @t223) % 0.97/1.15 (assume @p32 @t231) % 0.97/1.15 (assume @p33 @t234) % 0.97/1.15 (assume @p34 @t238) % 0.97/1.15 (assume @p35 @t241) % 0.97/1.15 (assume @p36 @t244) % 0.97/1.15 (assume @p37 (= tptp.emptyInPowerset @t243)) % 0.97/1.15 (assume @p38 @t247) % 0.97/1.15 (assume @p39 @t251) % 0.97/1.15 (assume @p40 @t258) % 0.97/1.15 (assume @p41 @t262) % 0.97/1.15 (assume @p42 @t268) % 0.97/1.15 (assume @p43 @t273) % 0.97/1.15 (assume @p44 @t278) % 0.97/1.15 (assume @p45 @t284) % 0.97/1.15 (assume @p46 @t286) % 0.97/1.15 (assume @p47 @t288) % 0.97/1.15 (assume @p48 @t297) % 0.97/1.15 (assume @p49 @t300) % 0.97/1.15 (assume @p50 @t303) % 0.97/1.15 (assume @p51 @t311) % 0.97/1.15 (assume @p52 @t314) % 0.97/1.15 (assume @p53 @t322) % 0.97/1.15 (assume @p54 @t327) % 0.97/1.15 (assume @p55 @t330) % 0.97/1.15 (assume @p56 @t333) % 0.97/1.15 (assume @p57 @t336) % 0.97/1.15 (assume @p58 @t339) % 0.97/1.15 (assume @p59 (= tptp.notdexE @t329)) % 0.97/1.15 (assume @p60 (= tptp.notdallE @t321)) % 0.97/1.15 (assume @p61 @t342) % 0.97/1.15 (assume @p62 @t348) % 0.97/1.15 (assume @p63 @t351) % 0.97/1.15 (assume @p64 @t357) % 0.97/1.15 (assume @p65 @t362) % 0.97/1.15 (assume @p66 @t365) % 0.97/1.15 (assume @p67 @t378) % 0.97/1.15 (assume @p68 @t380) % 0.97/1.15 (assume @p69 @t390) % 0.97/1.15 (assume @p70 @t394) % 0.97/1.15 (assume @p71 @t398) % 0.97/1.15 (assume @p72 @t399) % 0.97/1.15 (assume @p73 @t400) % 0.97/1.15 (assume @p74 @t407) % 0.97/1.15 (assume @p75 @t418) % 0.97/1.15 (assume @p76 @t423) % 0.97/1.15 (assume @p77 @t427) % 0.97/1.15 (assume @p78 @t429) % 0.97/1.15 (assume @p79 (= tptp.subsetI2 @t422)) % 0.97/1.15 (assume @p80 @t432) % 0.97/1.15 (assume @p81 @t434) % 0.97/1.15 (assume @p82 @t438) % 0.97/1.15 (assume @p83 @t442) % 0.97/1.15 (assume @p84 @t445) % 0.97/1.15 (assume @p85 @t448) % 0.97/1.15 (assume @p86 @t451) % 0.97/1.15 (assume @p87 @t457) % 0.97/1.15 (assume @p88 @t461) % 0.97/1.15 (assume @p89 @t465) % 0.97/1.15 (assume @p90 @t469) % 0.97/1.15 (assume @p91 @t472) % 0.97/1.15 (assume @p92 @t475) % 0.97/1.15 (assume @p93 @t477) % 0.97/1.15 (assume @p94 @t479) % 0.97/1.15 (assume @p95 @t482) % 0.97/1.15 (assume @p96 @t485) % 0.97/1.15 (assume @p97 @t488) % 0.97/1.15 (assume @p98 @t491) % 0.97/1.15 (assume @p99 @t495) % 0.97/1.15 (assume @p100 (= tptp.upairset2IR @t302)) % 0.97/1.15 (assume @p101 @t497) % 0.97/1.15 (assume @p102 @t504) % 0.97/1.15 (assume @p103 @t507) % 0.97/1.15 (assume @p104 @t510) % 0.97/1.15 (assume @p105 @t513) % 0.97/1.15 (assume @p106 @t519) % 0.97/1.15 (assume @p107 @t526) % 0.97/1.15 (assume @p108 @t528) % 0.97/1.15 (assume @p109 @t532) % 0.97/1.15 (assume @p110 @t536) % 0.97/1.15 (assume @p111 @t540) % 0.97/1.15 (assume @p112 @t542) % 0.97/1.15 (assume @p113 @t548) % 0.97/1.15 (assume @p114 @t551) % 0.97/1.15 (assume @p115 @t554) % 0.97/1.15 (assume @p116 @t557) % 0.97/1.15 (assume @p117 @t564) % 0.97/1.15 (assume @p118 @t569) % 0.97/1.15 (assume @p119 @t571) % 0.97/1.15 (assume @p120 @t573) % 0.97/1.15 (assume @p121 @t577) % 0.97/1.15 (assume @p122 @t580) % 0.97/1.15 (assume @p123 @t582) % 0.97/1.15 (assume @p124 @t584) % 0.97/1.15 (assume @p125 @t586) % 0.97/1.15 (assume @p126 @t589) % 0.97/1.15 (assume @p127 @t592) % 0.97/1.15 (assume @p128 @t602) % 0.97/1.15 (assume @p129 @t605) % 0.97/1.15 (assume @p130 @t608) % 0.97/1.15 (assume @p131 @t612) % 0.97/1.15 (assume @p132 @t615) % 0.97/1.15 (assume @p133 (= tptp.secondinupair @t302)) % 0.97/1.15 (assume @p134 @t622) % 0.97/1.15 (assume @p135 @t625) % 0.97/1.15 (assume @p136 @t627) % 0.97/1.15 (assume @p137 @t630) % 0.97/1.15 (assume @p138 @t633) % 0.97/1.15 (assume @p139 @t637) % 0.97/1.15 (assume @p140 @t641) % 0.97/1.15 (assume @p141 (= tptp.upairset2E @t296)) % 0.97/1.15 (assume @p142 @t646) % 0.97/1.15 (assume @p143 @t651) % 0.97/1.15 (assume @p144 @t656) % 0.97/1.15 (assume @p145 @t663) % 0.97/1.15 (assume @p146 @t669) % 0.97/1.15 (assume @p147 @t675) % 0.97/1.15 (assume @p148 @t686) % 0.97/1.15 (assume @p149 @t690) % 0.97/1.15 (assume @p150 @t699) % 0.97/1.15 (assume @p151 @t704) % 0.97/1.15 (assume @p152 @t707) % 0.97/1.15 (assume @p153 @t710) % 0.97/1.15 (assume @p154 @t718) % 0.97/1.15 (assume @p155 @t723) % 0.97/1.15 (assume @p156 @t731) % 0.97/1.15 (assume @p157 @t735) % 0.97/1.15 (assume @p158 @t738) % 0.97/1.15 (assume @p159 @t744) % 0.97/1.15 (assume @p160 @t752) % 0.97/1.15 (assume @p161 @t757) % 0.97/1.15 (assume @p162 @t760) % 0.97/1.15 (assume @p163 @t764) % 0.97/1.15 (assume @p164 @t773) % 0.97/1.15 (assume @p165 @t777) % 0.97/1.15 (assume @p166 @t780) % 0.97/1.15 (assume @p167 @t784) % 0.97/1.15 (assume @p168 @t788) % 0.97/1.15 (assume @p169 @t959) % 0.97/1.15 (assume @p170 true) % 0.97/1.15 (step @p171 (= tptp.exu @t960) :rule refl :args (@t960)) % 0.97/1.15 (step @p172 (= tptp.nonempty @t961) :rule refl :args (@t961)) % 0.97/1.15 (step @p173 (= tptp.iskpair @t968) :rule refl :args (@t968)) % 0.97/1.15 (step @p174 (= tptp.kpair @t969) :rule refl :args (@t969)) % 0.97/1.15 (step @p175 (= tptp.singleton @t973) :rule refl :args (@t973)) % 0.97/1.15 (step @p176 (= tptp.ex1 @t974) :rule refl :args (@t974)) % 0.97/1.15 (step @p177 :rule refl :args (@t1244)) % 0.97/1.15 (step @p178 :rule skolem_intro :args ((@purify true))) % 0.97/1.15 (step @p179 :rule symm :premises (@p178)) % 0.97/1.15 (step @p180 :rule cong :premises (@p179) :args (@t1245)) % 0.97/1.15 (step @p181 :rule cong :premises (@p180) :args (@t1246)) % 0.97/1.15 (step @p182 :rule cong :premises (@p181 @p177) :args (@t1247)) % 0.97/1.15 (step @p183 :rule refl :args (tptp.emptyset)) % 0.97/1.15 (step @p184 :rule cong :premises (@p183 @p180) :args (@t1248)) % 0.97/1.15 (step @p185 :rule cong :premises (@p184 @p182) :args (@t1249)) % 0.97/1.15 (step @p186 :rule refl :args (@t1252)) % 0.97/1.15 (step @p187 :rule cong :premises (@p186 @p185) :args (@t1253)) % 0.97/1.15 (step @p188 :rule refl :args (@t1260)) % 0.97/1.15 (step @p189 :rule cong :premises (@p188 @p187) :args (@t1261)) % 0.97/1.15 (step @p190 :rule refl :args (@t1129)) % 0.97/1.15 (step @p191 :rule cong :premises (@p190 @p189) :args (@t1262)) % 0.97/1.15 (step @p192 :rule refl :args (@t1264)) % 0.97/1.15 (step @p193 :rule cong :premises (@p192 @p191) :args (@t1265)) % 0.97/1.15 (step @p194 :rule refl :args (@t1116)) % 0.97/1.15 (step @p195 :rule cong :premises (@p194 @p193) :args (@t1266)) % 0.97/1.15 (step @p196 :rule refl :args (@t1270)) % 0.97/1.15 (step @p197 :rule cong :premises (@p196 @p195) :args (@t1271)) % 0.97/1.15 (step @p198 :rule refl :args (@t1273)) % 0.97/1.15 (step @p199 :rule cong :premises (@p198 @p197) :args (@t1274)) % 0.97/1.15 (step @p200 :rule refl :args (@t1275)) % 0.97/1.15 (step @p201 :rule cong :premises (@p200 @p199) :args (@t1276)) % 0.97/1.15 (step @p202 :rule refl :args (@t1277)) % 0.97/1.15 (step @p203 :rule cong :premises (@p202 @p201) :args (@t1278)) % 0.97/1.15 (step @p204 :rule refl :args (@t1281)) % 0.97/1.15 (step @p205 :rule cong :premises (@p204 @p203) :args (@t1282)) % 0.97/1.15 (step @p206 :rule refl :args (@t1289)) % 0.97/1.15 (step @p207 :rule cong :premises (@p206 @p205) :args (@t1290)) % 0.97/1.15 (step @p208 :rule refl :args (@t1293)) % 0.97/1.15 (step @p209 :rule cong :premises (@p208 @p207) :args (@t1294)) % 0.97/1.15 (step @p210 :rule refl :args (@t1299)) % 0.97/1.15 (step @p211 :rule cong :premises (@p210 @p209) :args (@t1300)) % 0.97/1.15 (step @p212 :rule refl :args (@t1301)) % 0.97/1.15 (step @p213 :rule cong :premises (@p212 @p211) :args (@t1302)) % 0.97/1.15 (step @p214 :rule refl :args (@t1303)) % 0.97/1.15 (step @p215 :rule cong :premises (@p214 @p213) :args (@t1304)) % 0.97/1.15 (step @p216 :rule refl :args (@t1306)) % 0.97/1.15 (step @p217 :rule cong :premises (@p216 @p215) :args (@t1307)) % 0.97/1.15 (step @p218 :rule cong :premises (@p216 @p217) :args (@t1308)) % 0.97/1.15 (step @p219 :rule refl :args (@t1311)) % 0.97/1.15 (step @p220 :rule cong :premises (@p219 @p218) :args (@t1312)) % 0.97/1.15 (step @p221 :rule refl :args (@t1316)) % 0.97/1.15 (step @p222 :rule cong :premises (@p221 @p220) :args (@t1317)) % 0.97/1.15 (step @p223 :rule refl :args (@t1319)) % 0.97/1.15 (step @p224 :rule cong :premises (@p223 @p222) :args (@t1320)) % 0.97/1.15 (step @p225 :rule cong :premises (@p223 @p224) :args (@t1321)) % 0.97/1.15 (step @p226 :rule refl :args (@t1322)) % 0.97/1.15 (step @p227 :rule cong :premises (@p226 @p225) :args (@t1323)) % 0.97/1.15 (step @p228 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 0.97/1.15 (step @p229 :rule refl :args (@t1324)) % 0.97/1.15 (step @p230 :rule refl :args (tptp.emptyset)) % 0.97/1.15 (step @p231 :rule cong :premises (@p230 @p229) :args (@t1325)) % 0.97/1.15 (step @p232 :rule trans :premises (@p231 @p228)) % 0.97/1.15 (step @p233 :rule refl :args (@t49)) % 0.97/1.15 (step @p234 :rule ho_cong :premises (@p233 @p229)) % 0.97/1.15 (step @p235 :rule cong :premises (@p234 @p232) :args ((= (_ @t49 @t1324) @t1325))) % 0.97/1.15 (step @p236 :rule symm :premises (@p235)) % 0.97/1.15 (step @p237 :rule refl :args (@t221)) % 0.97/1.15 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 0.97/1.15 (step @p239 :rule refl :args (@t220)) % 0.97/1.15 (step @p240 :rule cong :premises (@p239 @p229) :args ((= @t220 @t1324))) % 0.97/1.15 (step @p241 :rule symm :premises (@p240)) % 0.97/1.15 (step @p242 :rule eq_resolve :premises (@p239 @p241)) % 0.97/1.15 (step @p243 :rule refl :args (@t49)) % 0.97/1.15 (step @p244 :rule ho_cong :premises (@p243 @p242)) % 0.97/1.15 (step @p245 :rule trans :premises (@p244 @p238)) % 0.97/1.15 (step @p246 :rule cong :premises (@p245 @p227) :args (@t1326)) % 0.97/1.15 (step @p247 :rule refl :args (@t1329)) % 0.97/1.15 (step @p248 :rule cong :premises (@p247 @p246) :args (@t1330)) % 0.97/1.15 (step @p249 :rule refl :args (@t1334)) % 0.97/1.15 (step @p250 :rule cong :premises (@p249 @p248) :args (@t1335)) % 0.97/1.15 (step @p251 :rule refl :args (@t1336)) % 0.97/1.15 (step @p252 :rule cong :premises (@p251 @p250) :args (@t1337)) % 0.97/1.15 (step @p253 :rule cong :premises (@p204 @p252) :args (@t1338)) % 0.97/1.15 (step @p254 :rule refl :args (@t1339)) % 0.97/1.15 (step @p255 :rule cong :premises (@p254 @p253) :args (@t1340)) % 0.97/1.15 (step @p256 :rule refl :args (@t1341)) % 0.97/1.15 (step @p257 :rule cong :premises (@p256 @p255) :args (@t1342)) % 0.97/1.15 (step @p258 :rule cong :premises (@p256 @p257) :args (@t1343)) % 0.97/1.15 (step @p259 :rule refl :args (@t1345)) % 0.97/1.15 (step @p260 :rule cong :premises (@p259 @p258) :args (@t1346)) % 0.97/1.15 (step @p261 :rule refl :args (@t1352)) % 0.97/1.15 (step @p262 :rule cong :premises (@p261 @p260) :args (@t1353)) % 0.97/1.15 (step @p263 :rule refl :args (@t1354)) % 0.97/1.15 (step @p264 :rule cong :premises (@p263 @p262) :args (@t1355)) % 0.97/1.15 (step @p265 :rule cong :premises (@p263 @p264) :args (@t1356)) % 0.97/1.15 (step @p266 :rule cong :premises (@p263 @p265) :args (@t1357)) % 0.97/1.15 (step @p267 :rule refl :args (@t1359)) % 0.97/1.15 (step @p268 :rule cong :premises (@p267 @p266) :args (@t1360)) % 0.97/1.15 (step @p269 :rule refl :args (@t1361)) % 0.97/1.15 (step @p270 :rule cong :premises (@p269 @p268) :args (@t1362)) % 0.97/1.15 (step @p271 :rule refl :args (@t1363)) % 0.97/1.15 (step @p272 :rule cong :premises (@p271 @p270) :args (@t1364)) % 0.97/1.15 (step @p273 :rule refl :args (@t1365)) % 0.97/1.15 (step @p274 :rule cong :premises (@p273 @p272) :args (@t1366)) % 0.97/1.15 (step @p275 :rule refl :args (@t1371)) % 0.97/1.15 (step @p276 :rule cong :premises (@p275 @p274) :args (@t1372)) % 0.97/1.15 (step @p277 :rule refl :args (@t1423)) % 0.97/1.15 (step @p278 :rule cong :premises (@p277 @p276) :args (@t1424)) % 0.97/1.15 (step @p279 :rule refl :args (@t1431)) % 0.97/1.15 (step @p280 :rule cong :premises (@p279 @p278) :args (@t1432)) % 0.97/1.15 (step @p281 :rule refl :args (@t1445)) % 0.97/1.15 (step @p282 :rule cong :premises (@p281 @p280) :args (@t1446)) % 0.97/1.15 (step @p283 :rule refl :args (@t1460)) % 0.97/1.15 (step @p284 :rule cong :premises (@p283 @p282) :args (@t1461)) % 0.97/1.15 (step @p285 :rule refl :args (@t1463)) % 0.97/1.15 (step @p286 :rule cong :premises (@p285 @p284) :args (@t1464)) % 0.97/1.15 (step @p287 :rule refl :args (@t1465)) % 0.97/1.15 (step @p288 :rule refl :args (@t50)) % 0.97/1.15 (step @p289 :rule cong :premises (@p288 @p287) :args ((= @t50 @t1465))) % 0.97/1.15 (step @p290 :rule symm :premises (@p289)) % 0.97/1.15 (step @p291 :rule eq_resolve :premises (@p288 @p290)) % 0.97/1.15 (step @p292 :rule cong :premises (@p291 @p286) :args (@t1466)) % 0.97/1.15 (step @p293 :rule refl :args (@t1467)) % 0.97/1.15 (step @p294 :rule cong :premises (@p293 @p292) :args (@t1468)) % 0.97/1.15 (step @p295 :rule refl :args (@t1469)) % 0.97/1.15 (step @p296 :rule cong :premises (@p295 @p294) :args (@t1470)) % 0.97/1.15 (step @p297 :rule refl :args (@t1472)) % 0.97/1.15 (step @p298 :rule cong :premises (@p297 @p296) :args (@t1473)) % 0.97/1.15 (step @p299 :rule cong :premises (@p263 @p298) :args (@t1474)) % 0.97/1.15 (step @p300 :rule refl :args (@t1476)) % 0.97/1.15 (step @p301 :rule cong :premises (@p300 @p299) :args (@t1477)) % 0.97/1.15 (step @p302 :rule cong :premises (@p301) :args ((not @t1477))) % 0.97/1.15 (step @p303 :rule bool-impl-true2 :args (@t1181)) % 0.97/1.15 (step @p304 :rule refl :args (@t1183)) % 0.97/1.15 (step @p305 :rule cong :premises (@p304 @p303) :args (@t1478)) % 0.97/1.15 (step @p306 :rule refl :args (@t1184)) % 0.97/1.15 (step @p307 :rule cong :premises (@p306 @p305) :args (@t1479)) % 0.97/1.15 (step @p308 :rule refl :args (@t1185)) % 0.97/1.15 (step @p309 :rule cong :premises (@p308 @p307) :args (@t1480)) % 0.97/1.15 (step @p310 :rule refl :args (@t1186)) % 0.97/1.15 (step @p311 :rule cong :premises (@p310 @p309) :args (@t1481)) % 0.97/1.15 (step @p312 :rule refl :args (@t1188)) % 0.97/1.15 (step @p313 :rule cong :premises (@p312 @p311) :args (@t1482)) % 0.97/1.15 (step @p314 :rule refl :args (@t1191)) % 0.97/1.15 (step @p315 :rule cong :premises (@p314 @p313) :args (@t1483)) % 0.97/1.15 (step @p316 :rule cong :premises (@p304 @p315) :args (@t1484)) % 0.97/1.15 (step @p317 :rule cong :premises (@p304 @p316) :args (@t1485)) % 0.97/1.15 (step @p318 :rule cong :premises (@p314 @p317) :args (@t1486)) % 0.97/1.15 (step @p319 :rule refl :args (@t1202)) % 0.97/1.15 (step @p320 :rule cong :premises (@p319 @p318) :args (@t1487)) % 0.97/1.15 (step @p321 :rule refl :args (@t1215)) % 0.97/1.15 (step @p322 :rule cong :premises (@p321 @p320) :args (@t1488)) % 0.97/1.15 (step @p323 :rule refl :args (@t1224)) % 0.97/1.15 (step @p324 :rule cong :premises (@p323 @p322) :args (@t1489)) % 0.97/1.15 (step @p325 :rule bool-impl-true2 :args (@t1489)) % 0.97/1.15 (step @p326 :rule trans :premises (@p325 @p324)) % 0.97/1.15 (step @p327 :rule bool-impl-true2 :args (@t1489)) % 0.97/1.15 (step @p328 :rule refl :args (true)) % 0.97/1.15 (step @p329 :rule cong :premises (@p328 @p327) :args (@t1490)) % 0.97/1.15 (step @p330 :rule trans :premises (@p329 @p326)) % 0.97/1.15 (step @p331 :rule cong :premises (@p328 @p327) :args (@t1490)) % 0.97/1.15 (step @p332 :rule cong :premises (@p328 @p331) :args (@t1491)) % 0.97/1.15 (step @p333 :rule trans :premises (@p332 @p330)) % 0.97/1.15 (step @p334 :rule cong :premises (@p328 @p331) :args (@t1491)) % 0.97/1.15 (step @p335 :rule cong :premises (@p328 @p334) :args (@t1492)) % 0.97/1.15 (step @p336 :rule trans :premises (@p335 @p333)) % 0.97/1.15 (step @p337 :rule cong :premises (@p328 @p334) :args (@t1492)) % 0.97/1.15 (step @p338 :rule cong :premises (@p328 @p337) :args (@t1493)) % 0.97/1.15 (step @p339 :rule trans :premises (@p338 @p336)) % 0.97/1.15 (step @p340 :rule refl :args (@t1234)) % 0.97/1.15 (step @p341 :rule cong :premises (@p340 @p339) :args (@t1494)) % 0.97/1.15 (step @p342 :rule cong :premises (@p323 @p341) :args (@t1495)) % 0.97/1.15 (step @p343 :rule bool-impl-true2 :args (@t1495)) % 0.97/1.15 (step @p344 :rule trans :premises (@p343 @p342)) % 0.97/1.15 (step @p345 :rule bool-impl-true2 :args (@t1495)) % 0.97/1.15 (step @p346 :rule cong :premises (@p328 @p345) :args (@t1496)) % 0.97/1.15 (step @p347 :rule trans :premises (@p346 @p344)) % 0.97/1.15 (step @p348 :rule refl :args (@t1237)) % 0.97/1.15 (step @p349 :rule cong :premises (@p348 @p347) :args (@t1497)) % 0.97/1.15 (step @p350 :rule refl :args (@t1243)) % 0.97/1.15 (step @p351 :rule cong :premises (@p350 @p349) :args (@t1498)) % 0.97/1.15 (step @p352 :rule bool-impl-true2 :args (@t1498)) % 0.97/1.15 (step @p353 :rule trans :premises (@p352 @p351)) % 0.97/1.15 (step @p354 :rule bool-impl-true2 :args (@t1498)) % 0.97/1.15 (step @p355 :rule cong :premises (@p328 @p354) :args (@t1499)) % 0.97/1.15 (step @p356 :rule trans :premises (@p355 @p353)) % 0.97/1.15 (step @p357 :rule cong :premises (@p328 @p354) :args (@t1499)) % 0.97/1.15 (step @p358 :rule cong :premises (@p328 @p357) :args (@t1500)) % 0.97/1.15 (step @p359 :rule trans :premises (@p358 @p356)) % 0.97/1.15 (step @p360 :rule refl :args (@t1246)) % 0.97/1.15 (step @p361 :rule cong :premises (@p360 @p359) :args (@t1501)) % 0.97/1.15 (step @p362 :rule refl :args (@t1248)) % 0.97/1.15 (step @p363 :rule cong :premises (@p362 @p361) :args (@t1502)) % 0.97/1.15 (step @p364 :rule bool-impl-true2 :args (@t1502)) % 0.97/1.15 (step @p365 :rule trans :premises (@p364 @p363)) % 0.97/1.15 (step @p366 :rule bool-impl-true2 :args (@t1502)) % 0.97/1.15 (step @p367 :rule cong :premises (@p328 @p366) :args (@t1503)) % 0.97/1.15 (step @p368 :rule trans :premises (@p367 @p365)) % 0.97/1.15 (step @p369 :rule cong :premises (@p328 @p366) :args (@t1503)) % 0.97/1.15 (step @p370 :rule cong :premises (@p328 @p369) :args (@t1504)) % 0.97/1.15 (step @p371 :rule trans :premises (@p370 @p368)) % 0.97/1.15 (step @p372 :rule cong :premises (@p328 @p369) :args (@t1504)) % 0.97/1.15 (step @p373 :rule cong :premises (@p328 @p372) :args (@t1505)) % 0.97/1.15 (step @p374 :rule trans :premises (@p373 @p371)) % 0.97/1.15 (step @p375 :rule cong :premises (@p186 @p374) :args (@t1506)) % 0.97/1.15 (step @p376 :rule cong :premises (@p188 @p375) :args (@t1507)) % 0.97/1.15 (step @p377 :rule cong :premises (@p190 @p376) :args (@t1508)) % 0.97/1.15 (step @p378 :rule cong :premises (@p192 @p377) :args (@t1509)) % 0.97/1.15 (step @p379 :rule cong :premises (@p194 @p378) :args (@t1510)) % 0.97/1.15 (step @p380 :rule cong :premises (@p196 @p379) :args (@t1511)) % 0.97/1.15 (step @p381 :rule cong :premises (@p198 @p380) :args (@t1512)) % 0.97/1.15 (step @p382 :rule cong :premises (@p200 @p381) :args (@t1513)) % 0.97/1.15 (step @p383 :rule cong :premises (@p202 @p382) :args (@t1514)) % 0.97/1.15 (step @p384 :rule cong :premises (@p204 @p383) :args (@t1515)) % 0.97/1.15 (step @p385 :rule cong :premises (@p206 @p384) :args (@t1516)) % 0.97/1.15 (step @p386 :rule cong :premises (@p208 @p385) :args (@t1517)) % 0.97/1.15 (step @p387 :rule cong :premises (@p210 @p386) :args (@t1518)) % 0.97/1.15 (step @p388 :rule cong :premises (@p212 @p387) :args (@t1519)) % 0.97/1.15 (step @p389 :rule cong :premises (@p214 @p388) :args (@t1520)) % 0.97/1.15 (step @p390 :rule cong :premises (@p216 @p389) :args (@t1521)) % 0.97/1.15 (step @p391 :rule cong :premises (@p216 @p390) :args (@t1522)) % 0.97/1.15 (step @p392 :rule cong :premises (@p219 @p391) :args (@t1523)) % 0.97/1.15 (step @p393 :rule cong :premises (@p221 @p392) :args (@t1524)) % 0.97/1.15 (step @p394 :rule cong :premises (@p223 @p393) :args (@t1525)) % 0.97/1.15 (step @p395 :rule cong :premises (@p223 @p394) :args (@t1526)) % 0.97/1.15 (step @p396 :rule cong :premises (@p226 @p395) :args (@t1527)) % 0.97/1.15 (step @p397 :rule refl :args (@t221)) % 0.97/1.15 (step @p398 :rule cong :premises (@p397 @p396) :args (@t1528)) % 0.97/1.15 (step @p399 :rule cong :premises (@p247 @p398) :args (@t1529)) % 0.97/1.15 (step @p400 :rule cong :premises (@p249 @p399) :args (@t1530)) % 0.97/1.15 (step @p401 :rule cong :premises (@p251 @p400) :args (@t1531)) % 0.97/1.15 (step @p402 :rule cong :premises (@p204 @p401) :args (@t1532)) % 0.97/1.15 (step @p403 :rule cong :premises (@p254 @p402) :args (@t1533)) % 0.97/1.15 (step @p404 :rule cong :premises (@p256 @p403) :args (@t1534)) % 0.97/1.15 (step @p405 :rule cong :premises (@p256 @p404) :args (@t1535)) % 0.97/1.15 (step @p406 :rule cong :premises (@p259 @p405) :args (@t1536)) % 0.97/1.15 (step @p407 :rule cong :premises (@p261 @p406) :args (@t1537)) % 0.97/1.15 (step @p408 :rule cong :premises (@p263 @p407) :args (@t1538)) % 0.97/1.15 (step @p409 :rule cong :premises (@p263 @p408) :args (@t1539)) % 0.97/1.15 (step @p410 :rule cong :premises (@p263 @p409) :args (@t1540)) % 0.97/1.15 (step @p411 :rule cong :premises (@p267 @p410) :args (@t1541)) % 0.97/1.15 (step @p412 :rule bool-impl-true2 :args (@t1541)) % 0.97/1.15 (step @p413 :rule trans :premises (@p412 @p411)) % 0.97/1.15 (step @p414 :rule cong :premises (@p269 @p413) :args (@t1542)) % 0.97/1.15 (step @p415 :rule cong :premises (@p271 @p414) :args (@t1543)) % 0.97/1.15 (step @p416 :rule cong :premises (@p273 @p415) :args (@t1544)) % 0.97/1.15 (step @p417 :rule cong :premises (@p275 @p416) :args (@t1545)) % 0.97/1.15 (step @p418 :rule cong :premises (@p277 @p417) :args (@t1546)) % 0.97/1.15 (step @p419 :rule cong :premises (@p279 @p418) :args (@t1547)) % 0.97/1.15 (step @p420 :rule cong :premises (@p281 @p419) :args (@t1548)) % 0.97/1.15 (step @p421 :rule cong :premises (@p283 @p420) :args (@t1549)) % 0.97/1.15 (step @p422 :rule cong :premises (@p285 @p421) :args (@t1550)) % 0.97/1.15 (step @p423 :rule refl :args (@t50)) % 0.97/1.15 (step @p424 :rule cong :premises (@p423 @p422) :args (@t1551)) % 0.97/1.15 (step @p425 :rule cong :premises (@p293 @p424) :args (@t1552)) % 0.97/1.15 (step @p426 :rule cong :premises (@p295 @p425) :args (@t1553)) % 0.97/1.15 (step @p427 :rule cong :premises (@p297 @p426) :args (@t1554)) % 0.97/1.15 (step @p428 :rule cong :premises (@p263 @p427) :args (@t1555)) % 0.97/1.15 (step @p429 :rule cong :premises (@p300 @p428) :args (@t1556)) % 0.97/1.15 (step @p430 :rule cong :premises (@p429) :args ((not @t1556))) % 0.97/1.15 (step @p431 :rule refl :args (@t978)) % 0.97/1.15 (step @p432 :rule aci_norm :args ((= (or @t983 false @t785) @t984))) % 0.97/1.15 (step @p433 :rule refl :args (@t785)) % 0.97/1.15 (step @p434 :rule evaluate :args (@t1557)) % 0.97/1.15 (step @p435 :rule eq-refl :args (@t381)) % 0.97/1.15 (step @p436 :rule cong :premises (@p435) :args (@t1558)) % 0.97/1.15 (step @p437 :rule trans :premises (@p436 @p434)) % 0.97/1.15 (step @p438 :rule refl :args (@t983)) % 0.97/1.15 (step @p439 :rule nary_cong :premises (@p438 @p437 @p433) :args (@t1559)) % 0.97/1.15 (step @p440 :rule trans :premises (@p439 @p432)) % 0.97/1.15 (step @p441 :rule cong :premises (@p440) :args ((forall @t985 @t1559))) % 0.97/1.15 (step @p442 :rule quant-var-elim-eq :args ((= (forall @t1562 @t1561) @t1559))) % 0.97/1.15 (step @p443 :rule aci_norm :args ((= @t1563 @t1561))) % 0.97/1.15 (step @p444 :rule cong :premises (@p443) :args (@t1564)) % 0.97/1.15 (step @p445 :rule trans :premises (@p444 @p442)) % 0.97/1.15 (step @p446 :rule cong :premises (@p445) :args (@t1565)) % 0.97/1.15 (step @p447 :rule quant-merge-prenex :args ((= @t1565 @t1566))) % 0.97/1.15 (step @p448 :rule symm :premises (@p447)) % 0.97/1.15 (step @p449 :rule quant_var_reordering :args ((= (forall @t771 @t1563) @t1566))) % 0.97/1.15 (step @p450 :rule trans :premises (@p449 @p448 @p446)) % 0.97/1.15 (step @p451 :rule trans :premises (@p450 @p441)) % 0.97/1.15 (step @p452 :rule refl :args (@t785)) % 0.97/1.15 (step @p453 :rule refl :args (@t1560)) % 0.97/1.15 (step @p454 :rule refl :args ((tptp.setadjoin @t741 @t767))) % 0.97/1.15 (step @p455 :rule refl :args ((tptp.setadjoin @t766 tptp.emptyset))) % 0.97/1.15 (step @p456 :rule refl :args ((tptp.setadjoin @t289 @t765))) % 0.97/1.15 (step @p457 :rule refl :args (@t979)) % 0.97/1.15 (step @p458 :rule refl :args (@t289)) % 0.97/1.15 (step @p459 :rule cong :premises (@p458 @p457) :args (@t989)) % 0.97/1.15 (step @p460 :rule trans :premises (@p459 @p456)) % 0.97/1.15 (step @p461 :rule cong :premises (@p460 @p230) :args (@t990)) % 0.97/1.15 (step @p462 :rule trans :premises (@p461 @p455)) % 0.97/1.15 (step @p463 :rule refl :args (@t975)) % 0.97/1.15 (step @p464 :rule cong :premises (@p463 @p462) :args (@t991)) % 0.97/1.15 (step @p465 :rule trans :premises (@p464 @p454)) % 0.97/1.15 (step @p466 :rule refl :args (tptp.setadjoin)) % 0.97/1.15 (step @p467 :rule ho_cong :premises (@p466 @p463)) % 0.97/1.15 (step @p468 :rule ho_cong :premises (@p467 @p462)) % 0.97/1.15 (step @p469 :rule cong :premises (@p468 @p465) :args ((= (_ (_ tptp.setadjoin @t975) @t990) @t991))) % 0.97/1.15 (step @p470 :rule symm :premises (@p469)) % 0.97/1.15 (step @p471 :rule refl :args (@t769)) % 0.97/1.15 (step @p472 :rule eq_resolve :premises (@p471 @p470)) % 0.97/1.15 (step @p473 :rule ho_cong :premises (@p466 @p460)) % 0.97/1.15 (step @p474 :rule ho_cong :premises (@p473 @p230)) % 0.97/1.15 (step @p475 :rule cong :premises (@p474 @p462) :args ((= (_ (_ tptp.setadjoin @t989) tptp.emptyset) @t990))) % 0.97/1.15 (step @p476 :rule symm :premises (@p475)) % 0.97/1.15 (step @p477 :rule refl :args (@t767)) % 0.97/1.15 (step @p478 :rule eq_resolve :premises (@p477 @p476)) % 0.97/1.15 (step @p479 :rule refl :args (@t740)) % 0.97/1.15 (step @p480 :rule ho_cong :premises (@p479 @p457)) % 0.97/1.15 (step @p481 :rule cong :premises (@p480 @p460) :args ((= (_ @t740 @t979) @t989))) % 0.97/1.15 (step @p482 :rule symm :premises (@p481)) % 0.97/1.15 (step @p483 :rule refl :args (@t766)) % 0.97/1.15 (step @p484 :rule eq_resolve :premises (@p483 @p482)) % 0.97/1.15 (step @p485 :rule refl :args (@t765)) % 0.97/1.15 (step @p486 :rule cong :premises (@p485 @p457) :args ((= @t765 @t979))) % 0.97/1.15 (step @p487 :rule symm :premises (@p486)) % 0.97/1.15 (step @p488 :rule eq_resolve :premises (@p485 @p487)) % 0.97/1.15 (step @p489 :rule ho_cong :premises (@p479 @p488)) % 0.97/1.15 (step @p490 :rule trans :premises (@p489 @p484)) % 0.97/1.15 (step @p491 :rule ho_cong :premises (@p466 @p490)) % 0.97/1.15 (step @p492 :rule ho_cong :premises (@p491 @p230)) % 0.97/1.15 (step @p493 :rule trans :premises (@p492 @p478)) % 0.97/1.15 (step @p494 :rule refl :args (@t741)) % 0.97/1.15 (step @p495 :rule cong :premises (@p494 @p463) :args ((= @t741 @t975))) % 0.97/1.15 (step @p496 :rule symm :premises (@p495)) % 0.97/1.15 (step @p497 :rule eq_resolve :premises (@p494 @p496)) % 0.97/1.15 (step @p498 :rule ho_cong :premises (@p466 @p497)) % 0.97/1.15 (step @p499 :rule ho_cong :premises (@p498 @p493)) % 0.97/1.15 (step @p500 :rule trans :premises (@p499 @p472)) % 0.97/1.15 (step @p501 :rule refl :args ((tptp.setadjoin @t279 @t616))) % 0.97/1.15 (step @p502 :rule refl :args ((tptp.setadjoin @t291 tptp.emptyset))) % 0.97/1.15 (step @p503 :rule refl :args ((tptp.setadjoin @t4 @t275))) % 0.97/1.15 (step @p504 :rule refl :args (@t976)) % 0.97/1.15 (step @p505 :rule refl :args (@t4)) % 0.97/1.15 (step @p506 :rule cong :premises (@p505 @p504) :args (@t977)) % 0.97/1.15 (step @p507 :rule trans :premises (@p506 @p503)) % 0.97/1.15 (step @p508 :rule cong :premises (@p507 @p230) :args (@t980)) % 0.97/1.15 (step @p509 :rule trans :premises (@p508 @p502)) % 0.97/1.15 (step @p510 :rule refl :args (@t981)) % 0.97/1.15 (step @p511 :rule cong :premises (@p510 @p509) :args (@t982)) % 0.97/1.15 (step @p512 :rule trans :premises (@p511 @p501)) % 0.97/1.15 (step @p513 :rule ho_cong :premises (@p466 @p510)) % 0.97/1.15 (step @p514 :rule ho_cong :premises (@p513 @p509)) % 0.97/1.15 (step @p515 :rule cong :premises (@p514 @p512) :args ((= (_ @t1567 @t980) @t982))) % 0.97/1.15 (step @p516 :rule symm :premises (@p515)) % 0.97/1.15 (step @p517 :rule refl :args (@t618)) % 0.97/1.15 (step @p518 :rule eq_resolve :premises (@p517 @p516)) % 0.97/1.15 (step @p519 :rule ho_cong :premises (@p466 @p507)) % 0.97/1.15 (step @p520 :rule ho_cong :premises (@p519 @p230)) % 0.97/1.15 (step @p521 :rule cong :premises (@p520 @p509) :args ((= (_ (_ tptp.setadjoin @t977) tptp.emptyset) @t980))) % 0.97/1.15 (step @p522 :rule symm :premises (@p521)) % 0.97/1.15 (step @p523 :rule refl :args (@t616)) % 0.97/1.15 (step @p524 :rule eq_resolve :premises (@p523 @p522)) % 0.97/1.15 (step @p525 :rule refl :args (@t24)) % 0.97/1.15 (step @p526 :rule ho_cong :premises (@p525 @p504)) % 0.97/1.15 (step @p527 :rule cong :premises (@p526 @p507) :args ((= (_ @t24 @t976) @t977))) % 0.97/1.15 (step @p528 :rule symm :premises (@p527)) % 0.97/1.15 (step @p529 :rule refl :args (@t291)) % 0.97/1.15 (step @p530 :rule eq_resolve :premises (@p529 @p528)) % 0.97/1.15 (step @p531 :rule refl :args (@t275)) % 0.97/1.15 (step @p532 :rule cong :premises (@p531 @p504) :args ((= @t275 @t976))) % 0.97/1.15 (step @p533 :rule symm :premises (@p532)) % 0.97/1.15 (step @p534 :rule eq_resolve :premises (@p531 @p533)) % 0.97/1.15 (step @p535 :rule ho_cong :premises (@p525 @p534)) % 0.97/1.15 (step @p536 :rule trans :premises (@p535 @p530)) % 0.97/1.15 (step @p537 :rule ho_cong :premises (@p466 @p536)) % 0.97/1.15 (step @p538 :rule ho_cong :premises (@p537 @p230)) % 0.97/1.15 (step @p539 :rule trans :premises (@p538 @p524)) % 0.97/1.15 (step @p540 :rule refl :args (@t279)) % 0.97/1.15 (step @p541 :rule cong :premises (@p540 @p510) :args ((= @t279 @t981))) % 0.97/1.15 (step @p542 :rule symm :premises (@p541)) % 0.97/1.15 (step @p543 :rule eq_resolve :premises (@p540 @p542)) % 0.97/1.15 (step @p544 :rule ho_cong :premises (@p466 @p543)) % 0.97/1.15 (step @p545 :rule ho_cong :premises (@p544 @p539)) % 0.97/1.15 (step @p546 :rule trans :premises (@p545 @p518)) % 0.97/1.15 (step @p547 :rule cong :premises (@p546 @p500) :args (@t770)) % 0.97/1.15 (step @p548 :rule cong :premises (@p547) :args (@t1568)) % 0.97/1.15 (step @p549 :rule nary_cong :premises (@p548 @p453 @p452) :args (@t1569)) % 0.97/1.15 (step @p550 :rule cong :premises (@p549) :args ((forall @t771 @t1569))) % 0.97/1.15 (step @p551 :rule trans :premises (@p550 @p451)) % 0.97/1.15 (step @p552 :rule aci_norm :args ((= (or @t1568 (or @t1560 @t785)) @t1569))) % 0.97/1.15 (step @p553 :rule bool-impl-elim :args (@t385 @t785)) % 0.97/1.15 (step @p554 :rule refl :args (@t1568)) % 0.97/1.15 (step @p555 :rule nary_cong :premises (@p554 @p553) :args ((or @t1568 @t786))) % 0.97/1.15 (step @p556 :rule trans :premises (@p555 @p552)) % 0.97/1.15 (step @p557 :rule bool-impl-elim :args (@t770 @t786)) % 0.97/1.15 (step @p558 :rule trans :premises (@p557 @p556)) % 0.97/1.15 (step @p559 :rule cong :premises (@p558) :args (@t787)) % 0.97/1.15 (step @p560 :rule trans :premises (@p559 @p551)) % 0.97/1.15 (step @p561 :rule refl :args (tptp.setukpairinjR1)) % 0.97/1.15 (step @p562 :rule cong :premises (@p561 @p560) :args (@t788)) % 0.97/1.15 (step @p563 :rule eq_resolve :premises (@p168 @p562)) % 0.97/1.15 (step @p564 :rule cong :premises (@p563 @p431) :args (@t1570)) % 0.97/1.15 (step @p565 :rule aci_norm :args ((= (or false @t987) @t987))) % 0.97/1.15 (step @p566 :rule refl :args (@t987)) % 0.97/1.15 (step @p567 :rule eq-refl :args (@t19)) % 0.97/1.15 (step @p568 :rule cong :premises (@p567) :args (@t1571)) % 0.97/1.15 (step @p569 :rule trans :premises (@p568 @p434)) % 0.97/1.15 (step @p570 :rule nary_cong :premises (@p569 @p566) :args (@t1572)) % 0.97/1.15 (step @p571 :rule trans :premises (@p570 @p565)) % 0.97/1.15 (step @p572 :rule cong :premises (@p571) :args ((forall @t70 @t1572))) % 0.97/1.15 (step @p573 :rule quant-var-elim-eq :args ((= (forall @t9 @t1575) @t1572))) % 0.97/1.15 (step @p574 :rule aci_norm :args ((= @t1576 @t1575))) % 0.97/1.15 (step @p575 :rule cong :premises (@p574) :args (@t1577)) % 0.97/1.15 (step @p576 :rule trans :premises (@p575 @p573)) % 0.97/1.15 (step @p577 :rule cong :premises (@p576) :args (@t1578)) % 0.97/1.15 (step @p578 :rule quant-merge-prenex :args ((= @t1578 @t1580))) % 0.97/1.15 (step @p579 :rule symm :premises (@p578)) % 0.97/1.15 (step @p580 :rule quant_var_reordering :args ((= (forall @t135 @t1576) @t1580))) % 0.97/1.15 (step @p581 :rule trans :premises (@p580 @p579 @p577)) % 0.97/1.15 (step @p582 :rule trans :premises (@p581 @p572)) % 0.97/1.15 (step @p583 :rule refl :args ((tptp.setadjoin @t279 tptp.emptyset))) % 0.97/1.15 (step @p584 :rule cong :premises (@p510 @p230) :args (@t1573)) % 0.97/1.15 (step @p585 :rule trans :premises (@p584 @p583)) % 0.97/1.15 (step @p586 :rule ho_cong :premises (@p513 @p230)) % 0.97/1.15 (step @p587 :rule cong :premises (@p586 @p585) :args ((= (_ @t1567 tptp.emptyset) @t1573))) % 0.97/1.15 (step @p588 :rule symm :premises (@p587)) % 0.97/1.15 (step @p589 :rule refl :args (@t781)) % 0.97/1.15 (step @p590 :rule eq_resolve :premises (@p589 @p588)) % 0.97/1.15 (step @p591 :rule ho_cong :premises (@p544 @p230)) % 0.97/1.15 (step @p592 :rule trans :premises (@p591 @p590)) % 0.97/1.15 (step @p593 :rule cong :premises (@p546 @p592) :args (@t782)) % 0.97/1.15 (step @p594 :rule refl :args (@t282)) % 0.97/1.15 (step @p595 :rule nary_cong :premises (@p594 @p593) :args (@t1581)) % 0.97/1.15 (step @p596 :rule cong :premises (@p595) :args ((forall @t135 @t1581))) % 0.97/1.15 (step @p597 :rule trans :premises (@p596 @p582)) % 0.97/1.15 (step @p598 :rule bool-impl-elim :args (@t129 @t782)) % 0.97/1.15 (step @p599 :rule cong :premises (@p598) :args (@t783)) % 0.97/1.15 (step @p600 :rule trans :premises (@p599 @p597)) % 0.97/1.15 (step @p601 :rule refl :args (tptp.setukpairinjR12)) % 0.97/1.15 (step @p602 :rule cong :premises (@p601 @p600) :args (@t784)) % 0.97/1.15 (step @p603 :rule eq_resolve :premises (@p167 @p602)) % 0.97/1.15 (step @p604 :rule cong :premises (@p603 @p564) :args (@t1582)) % 0.97/1.15 (step @p605 :rule aci_norm :args ((= (or false @t988) @t988))) % 0.97/1.15 (step @p606 :rule refl :args (@t988)) % 0.97/1.15 (step @p607 :rule nary_cong :premises (@p569 @p606) :args (@t1583)) % 0.97/1.15 (step @p608 :rule trans :premises (@p607 @p605)) % 0.97/1.15 (step @p609 :rule cong :premises (@p608) :args ((forall @t70 @t1583))) % 0.97/1.15 (step @p610 :rule quant-var-elim-eq :args ((= (forall @t9 @t1585) @t1583))) % 0.97/1.15 (step @p611 :rule aci_norm :args ((= @t1586 @t1585))) % 0.97/1.15 (step @p612 :rule cong :premises (@p611) :args (@t1587)) % 0.97/1.15 (step @p613 :rule trans :premises (@p612 @p610)) % 0.97/1.15 (step @p614 :rule cong :premises (@p613) :args (@t1588)) % 0.97/1.15 (step @p615 :rule quant-merge-prenex :args ((= @t1588 @t1589))) % 0.97/1.15 (step @p616 :rule symm :premises (@p615)) % 0.97/1.15 (step @p617 :rule quant_var_reordering :args ((= (forall @t135 @t1586) @t1589))) % 0.97/1.15 (step @p618 :rule trans :premises (@p617 @p616 @p614)) % 0.97/1.15 (step @p619 :rule trans :premises (@p618 @p609)) % 0.97/1.15 (step @p620 :rule cong :premises (@p543 @p536) :args (@t1590)) % 0.97/1.15 (step @p621 :rule nary_cong :premises (@p594 @p620) :args (@t1591)) % 0.97/1.15 (step @p622 :rule cong :premises (@p621) :args ((forall @t135 @t1591))) % 0.97/1.15 (step @p623 :rule trans :premises (@p622 @p619)) % 0.97/1.15 (step @p624 :rule bool-impl-elim :args (@t129 @t1590)) % 0.97/1.15 (step @p625 :rule cong :premises (@p624) :args ((forall @t135 (=> @t129 @t1590)))) % 0.97/1.15 (step @p626 :rule trans :premises (@p625 @p623)) % 0.97/1.15 (step @p627 :rule eq-symm :args (@t291 @t279)) % 0.97/1.15 (step @p628 :rule refl :args (@t129)) % 0.97/1.15 (step @p629 :rule cong :premises (@p628 @p627) :args (@t778)) % 0.97/1.15 (step @p630 :rule cong :premises (@p629) :args (@t779)) % 0.97/1.15 (step @p631 :rule trans :premises (@p630 @p626)) % 0.97/1.15 (step @p632 :rule refl :args (tptp.setukpairinjR11)) % 0.97/1.15 (step @p633 :rule cong :premises (@p632 @p631) :args (@t780)) % 0.97/1.15 (step @p634 :rule eq_resolve :premises (@p166 @p633)) % 0.97/1.15 (step @p635 :rule cong :premises (@p634 @p604) :args (@t1592)) % 0.97/1.15 (step @p636 :rule refl :args (@t739)) % 0.97/1.15 (step @p637 :rule nary_cong :premises (@p548 @p636) :args (@t1593)) % 0.97/1.15 (step @p638 :rule cong :premises (@p637) :args ((forall @t771 @t1593))) % 0.97/1.15 (step @p639 :rule bool-impl-elim :args (@t770 @t739)) % 0.97/1.15 (step @p640 :rule cong :premises (@p639) :args (@t772)) % 0.97/1.15 (step @p641 :rule trans :premises (@p640 @p638)) % 0.97/1.15 (step @p642 :rule refl :args (@t739)) % 0.97/1.15 (step @p643 :rule beta-reduce :args ((= (_ @t1594 @t381) @t769))) % 0.97/1.15 (step @p644 :rule refl :args (@t381)) % 0.97/1.15 (step @p645 :rule beta-reduce :args ((= @t1595 @t1594))) % 0.97/1.15 (step @p646 :rule ho_cong :premises (@p645 @p644)) % 0.97/1.15 (step @p647 :rule trans :premises (@p646 @p643)) % 0.97/1.15 (step @p648 :rule beta-reduce :args ((= (_ @t1596 @t19) @t618))) % 0.97/1.15 (step @p649 :rule refl :args (@t19)) % 0.97/1.15 (step @p650 :rule beta-reduce :args ((= @t1597 @t1596))) % 0.97/1.15 (step @p651 :rule ho_cong :premises (@p650 @p649)) % 0.97/1.15 (step @p652 :rule trans :premises (@p651 @p648)) % 0.97/1.15 (step @p653 :rule cong :premises (@p652 @p647) :args (@t1599)) % 0.97/1.15 (step @p654 :rule cong :premises (@p653 @p642) :args (@t1600)) % 0.97/1.15 (step @p655 :rule cong :premises (@p654) :args (@t1601)) % 0.97/1.15 (step @p656 :rule trans :premises (@p655 @p641)) % 0.97/1.15 (step @p657 :rule refl :args (tptp.setukpairinjL)) % 0.97/1.15 (step @p658 :rule cong :premises (@p657 @p656) :args ((= tptp.setukpairinjL @t1601))) % 0.97/1.15 (step @p659 :rule refl :args (@t289)) % 0.97/1.15 (step @p660 :rule ho_cong :premises (@p174 @p659)) % 0.97/1.15 (step @p661 :rule ho_cong :premises (@p660 @p644)) % 0.97/1.15 (step @p662 :rule refl :args (@t4)) % 0.97/1.15 (step @p663 :rule ho_cong :premises (@p174 @p662)) % 0.97/1.15 (step @p664 :rule ho_cong :premises (@p663 @p649)) % 0.97/1.15 (step @p665 :rule cong :premises (@p664 @p661) :args (@t774)) % 0.97/1.15 (step @p666 :rule cong :premises (@p665 @p642) :args (@t775)) % 0.97/1.15 (step @p667 :rule cong :premises (@p666) :args (@t776)) % 0.97/1.15 (step @p668 :rule cong :premises (@p657 @p667) :args (@t777)) % 0.97/1.15 (step @p669 :rule trans :premises (@p668 @p658)) % 0.97/1.15 (step @p670 :rule eq_resolve :premises (@p165 @p669)) % 0.97/1.15 (step @p671 :rule cong :premises (@p670 @p635) :args (@t1602)) % 0.97/1.15 (step @p672 :rule refl :args (tptp.setukpairinjL2)) % 0.97/1.15 (step @p673 :rule cong :premises (@p672 @p641) :args (@t773)) % 0.97/1.15 (step @p674 :rule eq_resolve :premises (@p164 @p673)) % 0.97/1.15 (step @p675 :rule cong :premises (@p674 @p671) :args (@t1603)) % 0.97/1.15 (step @p676 :rule refl :args ((tptp.in @t761 @t2))) % 0.97/1.15 (step @p677 :rule refl :args (@t2)) % 0.97/1.15 (step @p678 :rule refl :args (@t994)) % 0.97/1.15 (step @p679 :rule cong :premises (@p678 @p677) :args (@t995)) % 0.97/1.15 (step @p680 :rule trans :premises (@p679 @p676)) % 0.97/1.15 (step @p681 :rule refl :args (tptp.in)) % 0.97/1.15 (step @p682 :rule ho_cong :premises (@p681 @p678)) % 0.97/1.15 (step @p683 :rule ho_cong :premises (@p682 @p677)) % 0.97/1.15 (step @p684 :rule cong :premises (@p683 @p680) :args ((= (_ (_ tptp.in @t994) @t2) @t995))) % 0.97/1.15 (step @p685 :rule symm :premises (@p684)) % 0.97/1.15 (step @p686 :rule refl :args (@t762)) % 0.97/1.15 (step @p687 :rule eq_resolve :premises (@p686 @p685)) % 0.97/1.15 (step @p688 :rule refl :args (@t761)) % 0.97/1.15 (step @p689 :rule cong :premises (@p688 @p678) :args ((= @t761 @t994))) % 0.97/1.15 (step @p690 :rule symm :premises (@p689)) % 0.97/1.15 (step @p691 :rule eq_resolve :premises (@p688 @p690)) % 0.97/1.15 (step @p692 :rule ho_cong :premises (@p681 @p691)) % 0.97/1.15 (step @p693 :rule ho_cong :premises (@p692 @p677)) % 0.97/1.15 (step @p694 :rule trans :premises (@p693 @p687)) % 0.97/1.15 (step @p695 :rule refl :args ((tptp.in @t381 @t670))) % 0.97/1.15 (step @p696 :rule refl :args (@t996)) % 0.97/1.15 (step @p697 :rule refl :args (@t381)) % 0.97/1.15 (step @p698 :rule cong :premises (@p697 @p696) :args (@t997)) % 0.97/1.15 (step @p699 :rule trans :premises (@p698 @p695)) % 0.97/1.15 (step @p700 :rule refl :args (@t681)) % 0.97/1.15 (step @p701 :rule ho_cong :premises (@p700 @p696)) % 0.97/1.15 (step @p702 :rule cong :premises (@p701 @p699) :args ((= (_ @t681 @t996) @t997))) % 0.97/1.15 (step @p703 :rule symm :premises (@p702)) % 0.97/1.15 (step @p704 :rule refl :args (@t682)) % 0.97/1.15 (step @p705 :rule eq_resolve :premises (@p704 @p703)) % 0.97/1.15 (step @p706 :rule refl :args (@t670)) % 0.97/1.15 (step @p707 :rule cong :premises (@p706 @p696) :args ((= @t670 @t996))) % 0.97/1.15 (step @p708 :rule symm :premises (@p707)) % 0.97/1.15 (step @p709 :rule eq_resolve :premises (@p706 @p708)) % 0.97/1.15 (step @p710 :rule ho_cong :premises (@p700 @p709)) % 0.97/1.15 (step @p711 :rule trans :premises (@p710 @p705)) % 0.97/1.15 (step @p712 :rule cong :premises (@p711) :args (@t1604)) % 0.97/1.15 (step @p713 :rule nary_cong :premises (@p712 @p694) :args (@t1605)) % 0.97/1.15 (step @p714 :rule cong :premises (@p713) :args ((forall @t684 @t1605))) % 0.97/1.15 (step @p715 :rule bool-impl-elim :args (@t682 @t762)) % 0.97/1.15 (step @p716 :rule cong :premises (@p715) :args (@t763)) % 0.97/1.15 (step @p717 :rule trans :premises (@p716 @p714)) % 0.97/1.15 (step @p718 :rule refl :args (tptp.cartprodfstin)) % 0.97/1.15 (step @p719 :rule cong :premises (@p718 @p717) :args (@t764)) % 0.97/1.15 (step @p720 :rule eq_resolve :premises (@p163 @p719)) % 0.97/1.15 (step @p721 :rule cong :premises (@p720 @p675) :args (@t1606)) % 0.97/1.15 (step @p722 :rule refl :args ((tptp.kfst @t618))) % 0.97/1.15 (step @p723 :rule cong :premises (@p512) :args (@t999)) % 0.97/1.15 (step @p724 :rule trans :premises (@p723 @p722)) % 0.97/1.15 (step @p725 :rule refl :args (tptp.kfst)) % 0.97/1.15 (step @p726 :rule ho_cong :premises (@p725 @p512)) % 0.97/1.15 (step @p727 :rule cong :premises (@p726 @p724) :args ((= (_ tptp.kfst @t982) @t999))) % 0.97/1.15 (step @p728 :rule symm :premises (@p727)) % 0.97/1.15 (step @p729 :rule refl :args (@t1607)) % 0.97/1.15 (step @p730 :rule eq_resolve :premises (@p729 @p728)) % 0.97/1.15 (step @p731 :rule ho_cong :premises (@p725 @p546)) % 0.97/1.15 (step @p732 :rule trans :premises (@p731 @p730)) % 0.97/1.15 (step @p733 :rule cong :premises (@p505 @p732) :args (@t1608)) % 0.97/1.15 (step @p734 :rule cong :premises (@p733) :args ((forall @t135 @t1608))) % 0.97/1.15 (step @p735 :rule eq-symm :args (@t1607 @t4)) % 0.97/1.15 (step @p736 :rule refl :args (tptp.kfst)) % 0.97/1.15 (step @p737 :rule ho_cong :premises (@p736 @p652)) % 0.97/1.15 (step @p738 :rule cong :premises (@p737 @p662) :args (@t1609)) % 0.97/1.15 (step @p739 :rule trans :premises (@p738 @p735)) % 0.97/1.15 (step @p740 :rule cong :premises (@p739) :args (@t1610)) % 0.97/1.15 (step @p741 :rule trans :premises (@p740 @p734)) % 0.97/1.15 (step @p742 :rule refl :args (tptp.kfstpairEq)) % 0.97/1.15 (step @p743 :rule cong :premises (@p742 @p741) :args ((= tptp.kfstpairEq @t1610))) % 0.97/1.15 (step @p744 :rule ho_cong :premises (@p736 @p664)) % 0.97/1.15 (step @p745 :rule cong :premises (@p744 @p662) :args (@t758)) % 0.97/1.15 (step @p746 :rule cong :premises (@p745) :args (@t759)) % 0.97/1.15 (step @p747 :rule cong :premises (@p742 @p746) :args (@t760)) % 0.97/1.15 (step @p748 :rule trans :premises (@p747 @p743)) % 0.97/1.15 (step @p749 :rule eq_resolve :premises (@p162 @p748)) % 0.97/1.15 (step @p750 :rule cong :premises (@p749 @p721) :args (@t1611)) % 0.97/1.15 (step @p751 :rule aci_norm :args ((= (or @t1003 @t1002 false) @t1004))) % 0.97/1.15 (step @p752 :rule eq-refl :args (@t1001)) % 0.97/1.15 (step @p753 :rule cong :premises (@p752) :args (@t1612)) % 0.97/1.15 (step @p754 :rule trans :premises (@p753 @p434)) % 0.97/1.15 (step @p755 :rule refl :args (@t1002)) % 0.97/1.15 (step @p756 :rule refl :args (@t1003)) % 0.97/1.15 (step @p757 :rule nary_cong :premises (@p756 @p755 @p754) :args (@t1613)) % 0.97/1.15 (step @p758 :rule trans :premises (@p757 @p751)) % 0.97/1.15 (step @p759 :rule cong :premises (@p758) :args ((forall @t1005 @t1613))) % 0.97/1.15 (step @p760 :rule quant-var-elim-eq :args ((= (forall @t695 @t1618) @t1613))) % 0.97/1.15 (step @p761 :rule aci_norm :args ((= @t1619 @t1618))) % 0.97/1.15 (step @p762 :rule cong :premises (@p761) :args (@t1620)) % 0.97/1.15 (step @p763 :rule trans :premises (@p762 @p760)) % 0.97/1.15 (step @p764 :rule cong :premises (@p763) :args (@t1621)) % 0.97/1.15 (step @p765 :rule quant-merge-prenex :args ((= @t1621 @t1622))) % 0.97/1.15 (step @p766 :rule symm :premises (@p765)) % 0.97/1.15 (step @p767 :rule quant_var_reordering :args ((= (forall @t1623 @t1619) @t1622))) % 0.97/1.15 (step @p768 :rule trans :premises (@p767 @p766 @p764)) % 0.97/1.15 (step @p769 :rule trans :premises (@p768 @p759)) % 0.97/1.15 (step @p770 :rule eq-symm :args (@t1001 @t691)) % 0.97/1.15 (step @p771 :rule cong :premises (@p770) :args (@t1624)) % 0.97/1.15 (step @p772 :rule refl :args (@t1615)) % 0.97/1.15 (step @p773 :rule refl :args (@t1617)) % 0.97/1.15 (step @p774 :rule nary_cong :premises (@p773 @p772 @p771) :args (@t1625)) % 0.97/1.15 (step @p775 :rule aci_norm :args ((= @t1627 @t1625))) % 0.97/1.15 (step @p776 :rule trans :premises (@p775 @p774)) % 0.97/1.15 (step @p777 :rule cong :premises (@p776) :args (@t1628)) % 0.97/1.15 (step @p778 :rule trans :premises (@p777 @p769)) % 0.97/1.15 (step @p779 :rule quant-merge-prenex :args ((= (forall @t695 @t1629) @t1628))) % 0.97/1.15 (step @p780 :rule refl :args (@t1617)) % 0.97/1.15 (step @p781 :rule alpha_equiv :args (@t1630 (@list @t1000) @t1631)) % 0.97/1.15 (step @p782 :rule nary_cong :premises (@p781 @p780) :args (@t1632)) % 0.97/1.15 (step @p783 :rule quant-miniscope-or :args ((= @t1629 @t1632))) % 0.97/1.15 (step @p784 :rule trans :premises (@p783 @p782)) % 0.97/1.15 (step @p785 :rule symm :premises (@p784)) % 0.97/1.15 (step @p786 :rule cong :premises (@p785) :args ((forall @t695 (or @t1633 @t1617)))) % 0.97/1.15 (step @p787 :rule trans :premises (@p786 @p779)) % 0.97/1.15 (step @p788 :rule trans :premises (@p787 @p778)) % 0.97/1.15 (step @p789 :rule refl :args ((tptp.in @t753 @t691))) % 0.97/1.15 (step @p790 :rule refl :args (@t691)) % 0.97/1.15 (step @p791 :rule refl :args (@t1616)) % 0.97/1.15 (step @p792 :rule cong :premises (@p791 @p790) :args (@t1617)) % 0.97/1.15 (step @p793 :rule trans :premises (@p792 @p789)) % 0.97/1.15 (step @p794 :rule ho_cong :premises (@p681 @p791)) % 0.97/1.15 (step @p795 :rule ho_cong :premises (@p794 @p790)) % 0.97/1.15 (step @p796 :rule cong :premises (@p795 @p793) :args ((= (_ (_ tptp.in @t1616) @t691) @t1617))) % 0.97/1.15 (step @p797 :rule symm :premises (@p796)) % 0.97/1.15 (step @p798 :rule refl :args (@t754)) % 0.97/1.15 (step @p799 :rule eq_resolve :premises (@p798 @p797)) % 0.97/1.15 (step @p800 :rule refl :args (@t753)) % 0.97/1.15 (step @p801 :rule cong :premises (@p800 @p791) :args ((= @t753 @t1616))) % 0.97/1.15 (step @p802 :rule symm :premises (@p801)) % 0.97/1.15 (step @p803 :rule eq_resolve :premises (@p800 @p802)) % 0.97/1.15 (step @p804 :rule ho_cong :premises (@p681 @p803)) % 0.97/1.15 (step @p805 :rule ho_cong :premises (@p804 @p790)) % 0.97/1.15 (step @p806 :rule trans :premises (@p805 @p799)) % 0.97/1.15 (step @p807 :rule refl :args (@t1633)) % 0.97/1.15 (step @p808 :rule nary_cong :premises (@p807 @p806) :args (@t1634)) % 0.97/1.15 (step @p809 :rule cong :premises (@p808) :args ((forall @t695 @t1634))) % 0.97/1.15 (step @p810 :rule trans :premises (@p809 @p788)) % 0.97/1.15 (step @p811 :rule bool-double-not-elim :args (@t1633)) % 0.97/1.15 (step @p812 :rule nary_cong :premises (@p811 @p798) :args ((or (not @t1635) @t754))) % 0.97/1.15 (step @p813 :rule bool-impl-elim :args (@t1635 @t754)) % 0.97/1.15 (step @p814 :rule trans :premises (@p813 @p812)) % 0.97/1.15 (step @p815 :rule cong :premises (@p814) :args ((forall @t695 (=> @t1635 @t754)))) % 0.97/1.15 (step @p816 :rule trans :premises (@p815 @p810)) % 0.97/1.15 (step @p817 :rule refl :args (@t754)) % 0.97/1.15 (step @p818 :rule eq-symm :args (@t691 @t981)) % 0.97/1.15 (step @p819 :rule cong :premises (@p818) :args (@t1636)) % 0.97/1.15 (step @p820 :rule refl :args (@t1066)) % 0.97/1.15 (step @p821 :rule nary_cong :premises (@p820 @p819) :args (@t1637)) % 0.97/1.15 (step @p822 :rule cong :premises (@p821) :args (@t1638)) % 0.97/1.15 (step @p823 :rule cong :premises (@p822) :args (@t1639)) % 0.97/1.15 (step @p824 :rule beta-reduce :args ((= @t1641 @t1639))) % 0.97/1.15 (step @p825 :rule trans :premises (@p824 @p823)) % 0.97/1.15 (step @p826 :rule cong :premises (@p825 @p817) :args (@t1642)) % 0.97/1.15 (step @p827 :rule cong :premises (@p826) :args (@t1643)) % 0.97/1.15 (step @p828 :rule trans :premises (@p827 @p816)) % 0.97/1.15 (step @p829 :rule refl :args (tptp.theprop)) % 0.97/1.15 (step @p830 :rule cong :premises (@p829 @p828) :args ((= tptp.theprop @t1643))) % 0.97/1.15 (step @p831 :rule refl :args (@t691)) % 0.97/1.15 (step @p832 :rule cong :premises (@p677 @p543) :args (@t970)) % 0.97/1.15 (step @p833 :rule cong :premises (@p832) :args (@t1644)) % 0.97/1.15 (step @p834 :rule refl :args (@t1034)) % 0.97/1.15 (step @p835 :rule refl :args (@t7)) % 0.97/1.15 (step @p836 :rule cong :premises (@p835 @p834) :args ((= @t7 @t1034))) % 0.97/1.15 (step @p837 :rule symm :premises (@p836)) % 0.97/1.15 (step @p838 :rule eq_resolve :premises (@p835 @p837)) % 0.97/1.15 (step @p839 :rule cong :premises (@p838) :args (@t197)) % 0.97/1.15 (step @p840 :rule nary_cong :premises (@p839 @p833) :args (@t1645)) % 0.97/1.15 (step @p841 :rule cong :premises (@p840) :args ((forall @t9 @t1645))) % 0.97/1.15 (step @p842 :rule bool-and-de-morgan :args (@t7 @t970 true)) % 0.97/1.15 (step @p843 :rule cong :premises (@p842) :args (@t1646)) % 0.97/1.15 (step @p844 :rule trans :premises (@p843 @p841)) % 0.97/1.15 (step @p845 :rule cong :premises (@p844) :args (@t1647)) % 0.97/1.15 (step @p846 :rule exists-elim :args ((= @t972 @t1647))) % 0.97/1.15 (step @p847 :rule trans :premises (@p846 @p845)) % 0.97/1.15 (step @p848 :rule cong :premises (@p847) :args (@t973)) % 0.97/1.15 (step @p849 :rule trans :premises (@p175 @p848)) % 0.97/1.15 (step @p850 :rule ho_cong :premises (@p849 @p831)) % 0.97/1.15 (step @p851 :rule cong :premises (@p850 @p817) :args (@t755)) % 0.97/1.15 (step @p852 :rule cong :premises (@p851) :args (@t756)) % 0.97/1.15 (step @p853 :rule cong :premises (@p829 @p852) :args (@t757)) % 0.97/1.15 (step @p854 :rule trans :premises (@p853 @p830)) % 0.97/1.15 (step @p855 :rule eq_resolve :premises (@p161 @p854)) % 0.97/1.15 (step @p856 :rule cong :premises (@p855 @p750) :args (@t1648)) % 0.97/1.15 (step @p857 :rule aci_norm :args ((= (or @t1016 @t1011 @t1010 false) @t1017))) % 0.97/1.15 (step @p858 :rule eq-refl :args (@t1008)) % 0.97/1.15 (step @p859 :rule cong :premises (@p858) :args (@t1649)) % 0.97/1.15 (step @p860 :rule trans :premises (@p859 @p434)) % 0.97/1.15 (step @p861 :rule refl :args (@t1010)) % 0.97/1.15 (step @p862 :rule refl :args (@t1011)) % 0.97/1.15 (step @p863 :rule refl :args (@t1016)) % 0.97/1.15 (step @p864 :rule nary_cong :premises (@p863 @p862 @p861 @p860) :args (@t1650)) % 0.97/1.15 (step @p865 :rule trans :premises (@p864 @p857)) % 0.97/1.15 (step @p866 :rule cong :premises (@p865) :args ((forall @t1018 @t1650))) % 0.97/1.15 (step @p867 :rule quant-var-elim-eq :args ((= (forall @t750 @t1658) @t1650))) % 0.97/1.15 (step @p868 :rule aci_norm :args ((= @t1659 @t1658))) % 0.97/1.15 (step @p869 :rule cong :premises (@p868) :args (@t1660)) % 0.97/1.15 (step @p870 :rule trans :premises (@p869 @p867)) % 0.97/1.15 (step @p871 :rule cong :premises (@p870) :args (@t1661)) % 0.97/1.15 (step @p872 :rule quant-merge-prenex :args ((= @t1661 @t1662))) % 0.97/1.15 (step @p873 :rule symm :premises (@p872)) % 0.97/1.15 (step @p874 :rule quant_var_reordering :args ((= (forall @t1663 @t1659) @t1662))) % 0.97/1.15 (step @p875 :rule trans :premises (@p874 @p873 @p871)) % 0.97/1.15 (step @p876 :rule trans :premises (@p875 @p866)) % 0.97/1.15 (step @p877 :rule aci_norm :args ((= @t1665 @t1659))) % 0.97/1.15 (step @p878 :rule cong :premises (@p877) :args (@t1666)) % 0.97/1.15 (step @p879 :rule trans :premises (@p878 @p876)) % 0.97/1.15 (step @p880 :rule quant-merge-prenex :args ((= (forall @t750 @t1667) @t1666))) % 0.97/1.15 (step @p881 :rule refl :args (@t1657)) % 0.97/1.15 (step @p882 :rule alpha_equiv :args (@t1668 (@list @t1007 @t1006) (@list @t4 @t1072))) % 0.97/1.15 (step @p883 :rule nary_cong :premises (@p882 @p881) :args (@t1669)) % 0.97/1.15 (step @p884 :rule quant-miniscope-or :args ((= @t1667 @t1669))) % 0.97/1.15 (step @p885 :rule trans :premises (@p884 @p883)) % 0.97/1.15 (step @p886 :rule symm :premises (@p885)) % 0.97/1.15 (step @p887 :rule cong :premises (@p886) :args ((forall @t750 (or @t1077 @t1657)))) % 0.97/1.15 (step @p888 :rule trans :premises (@p887 @p880)) % 0.97/1.15 (step @p889 :rule trans :premises (@p888 @p879)) % 0.97/1.15 (step @p890 :rule bool-double-not-elim :args (@t1077)) % 0.97/1.15 (step @p891 :rule nary_cong :premises (@p890 @p881) :args ((or (not @t1078) @t1657))) % 0.97/1.15 (step @p892 :rule bool-impl-elim :args (@t1078 @t1657)) % 0.97/1.15 (step @p893 :rule trans :premises (@p892 @p891)) % 0.97/1.15 (step @p894 :rule cong :premises (@p893) :args ((forall @t750 (=> @t1078 @t1657)))) % 0.97/1.15 (step @p895 :rule trans :premises (@p894 @p889)) % 0.97/1.15 (step @p896 :rule refl :args ((tptp.dsetconstr @t746 @t1672))) % 0.97/1.15 (step @p897 :rule refl :args ((tptp.in @t1670 @t381))) % 0.97/1.15 (step @p898 :rule refl :args (@t1013)) % 0.97/1.15 (step @p899 :rule cong :premises (@p898 @p697) :args (@t1654)) % 0.97/1.15 (step @p900 :rule trans :premises (@p899 @p897)) % 0.97/1.15 (step @p901 :rule cong :premises (@p900) :args (@t1655)) % 0.97/1.15 (step @p902 :rule refl :args (@t1075)) % 0.97/1.15 (step @p903 :rule cong :premises (@p902 @p901) :args (@t1656)) % 0.97/1.15 (step @p904 :rule trans :premises (@p903 @p896)) % 0.97/1.15 (step @p905 :rule refl :args (tptp.dsetconstr)) % 0.97/1.15 (step @p906 :rule ho_cong :premises (@p905 @p902)) % 0.97/1.15 (step @p907 :rule ho_cong :premises (@p906 @p901)) % 0.97/1.15 (step @p908 :rule cong :premises (@p907 @p904) :args ((= (_ (_ tptp.dsetconstr @t1075) @t1655) @t1656))) % 0.97/1.15 (step @p909 :rule symm :premises (@p908)) % 0.97/1.15 (step @p910 :rule refl :args (@t1673)) % 0.97/1.15 (step @p911 :rule eq_resolve :premises (@p910 @p909)) % 0.97/1.15 (step @p912 :rule ho_cong :premises (@p681 @p898)) % 0.97/1.15 (step @p913 :rule ho_cong :premises (@p912 @p697)) % 0.97/1.15 (step @p914 :rule cong :premises (@p913 @p900) :args ((= (_ (_ tptp.in @t1013) @t381) @t1654))) % 0.97/1.15 (step @p915 :rule symm :premises (@p914)) % 0.97/1.15 (step @p916 :rule refl :args (@t1671)) % 0.97/1.15 (step @p917 :rule eq_resolve :premises (@p916 @p915)) % 0.97/1.15 (step @p918 :rule refl :args (@t1670)) % 0.97/1.15 (step @p919 :rule cong :premises (@p918 @p898) :args ((= @t1670 @t1013))) % 0.97/1.15 (step @p920 :rule symm :premises (@p919)) % 0.97/1.15 (step @p921 :rule eq_resolve :premises (@p918 @p920)) % 0.97/1.15 (step @p922 :rule ho_cong :premises (@p681 @p921)) % 0.97/1.15 (step @p923 :rule ho_cong :premises (@p922 @p697)) % 0.97/1.15 (step @p924 :rule trans :premises (@p923 @p917)) % 0.97/1.15 (step @p925 :rule cong :premises (@p924) :args (@t1672)) % 0.97/1.15 (step @p926 :rule refl :args (@t746)) % 0.97/1.15 (step @p927 :rule cong :premises (@p926 @p902) :args ((= @t746 @t1075))) % 0.97/1.15 (step @p928 :rule symm :premises (@p927)) % 0.97/1.15 (step @p929 :rule eq_resolve :premises (@p926 @p928)) % 0.97/1.15 (step @p930 :rule ho_cong :premises (@p905 @p929)) % 0.97/1.15 (step @p931 :rule ho_cong :premises (@p930 @p925)) % 0.97/1.15 (step @p932 :rule trans :premises (@p931 @p911)) % 0.97/1.15 (step @p933 :rule refl :args (@t981)) % 0.97/1.15 (step @p934 :rule cong :premises (@p933 @p932) :args (@t1674)) % 0.97/1.15 (step @p935 :rule cong :premises (@p934) :args (@t1675)) % 0.97/1.15 (step @p936 :rule cong :premises (@p505 @p932) :args (@t1676)) % 0.97/1.15 (step @p937 :rule cong :premises (@p936) :args (@t1677)) % 0.97/1.15 (step @p938 :rule nary_cong :premises (@p937 @p935) :args (@t1678)) % 0.97/1.15 (step @p939 :rule cong :premises (@p938) :args ((forall @t9 @t1678))) % 0.97/1.15 (step @p940 :rule alpha_equiv :args (@t745 @t1631 (@list @t1012))) % 0.97/1.15 (step @p941 :rule refl :args (@t747)) % 0.97/1.15 (step @p942 :rule ho_cong :premises (@p941 @p940)) % 0.97/1.15 (step @p943 :rule cong :premises (@p933 @p942) :args (@t1679)) % 0.97/1.15 (step @p944 :rule cong :premises (@p943) :args (@t1680)) % 0.97/1.15 (step @p945 :rule cong :premises (@p505 @p942) :args (@t1681)) % 0.97/1.15 (step @p946 :rule cong :premises (@p945) :args (@t1682)) % 0.97/1.15 (step @p947 :rule nary_cong :premises (@p946 @p944) :args (@t1683)) % 0.97/1.15 (step @p948 :rule cong :premises (@p947) :args ((forall @t9 @t1683))) % 0.97/1.15 (step @p949 :rule trans :premises (@p948 @p939)) % 0.97/1.15 (step @p950 :rule eq-symm :args (@t748 @t981)) % 0.97/1.15 (step @p951 :rule cong :premises (@p950) :args (@t1684)) % 0.97/1.15 (step @p952 :rule refl :args (@t1682)) % 0.97/1.15 (step @p953 :rule nary_cong :premises (@p952 @p951) :args (@t1685)) % 0.97/1.15 (step @p954 :rule cong :premises (@p953) :args (@t1686)) % 0.97/1.15 (step @p955 :rule trans :premises (@p954 @p949)) % 0.97/1.15 (step @p956 :rule cong :premises (@p955) :args (@t1687)) % 0.97/1.15 (step @p957 :rule beta-reduce :args ((= @t1688 @t1687))) % 0.97/1.15 (step @p958 :rule trans :premises (@p957 @p956)) % 0.97/1.15 (step @p959 :rule beta-reduce :args ((= @t1695 @t1078))) % 0.97/1.15 (step @p960 :rule cong :premises (@p959 @p958) :args (@t1696)) % 0.97/1.15 (step @p961 :rule cong :premises (@p960) :args (@t1697)) % 0.97/1.15 (step @p962 :rule trans :premises (@p961 @p895)) % 0.97/1.15 (step @p963 :rule refl :args (tptp.kfstsingleton)) % 0.97/1.15 (step @p964 :rule cong :premises (@p963 @p962) :args ((= tptp.kfstsingleton @t1697))) % 0.97/1.15 (step @p965 :rule refl :args (@t748)) % 0.97/1.15 (step @p966 :rule ho_cong :premises (@p849 @p965)) % 0.97/1.15 (step @p967 :rule aci_norm :args ((= @t1699 @t1691))) % 0.97/1.15 (step @p968 :rule cong :premises (@p967) :args (@t1700)) % 0.97/1.15 (step @p969 :rule quant-merge-prenex :args ((= (forall @t9 @t1702) @t1700))) % 0.97/1.15 (step @p970 :rule alpha_equiv :args (@t1703 (@list @t1072) @t1704)) % 0.97/1.15 (step @p971 :rule refl :args (@t1071)) % 0.97/1.15 (step @p972 :rule nary_cong :premises (@p971 @p970) :args (@t1705)) % 0.97/1.15 (step @p973 :rule quant-miniscope-or :args ((= @t1702 @t1705))) % 0.97/1.15 (step @p974 :rule trans :premises (@p973 @p972)) % 0.97/1.15 (step @p975 :rule symm :premises (@p974)) % 0.97/1.15 (step @p976 :rule cong :premises (@p975) :args ((forall @t9 (or @t1071 @t1707)))) % 0.97/1.15 (step @p977 :rule trans :premises (@p976 @p969)) % 0.97/1.15 (step @p978 :rule trans :premises (@p977 @p968)) % 0.97/1.15 (step @p979 :rule refl :args (@t1707)) % 0.97/1.15 (step @p980 :rule refl :args ((tptp.in @t4 @t43))) % 0.97/1.15 (step @p981 :rule refl :args (@t1069)) % 0.97/1.15 (step @p982 :rule cong :premises (@p505 @p981) :args (@t1070)) % 0.97/1.15 (step @p983 :rule trans :premises (@p982 @p980)) % 0.97/1.15 (step @p984 :rule refl :args (@t5)) % 0.97/1.15 (step @p985 :rule ho_cong :premises (@p984 @p981)) % 0.97/1.15 (step @p986 :rule cong :premises (@p985 @p983) :args ((= (_ @t5 @t1069) @t1070))) % 0.97/1.15 (step @p987 :rule symm :premises (@p986)) % 0.97/1.15 (step @p988 :rule refl :args (@t44)) % 0.97/1.15 (step @p989 :rule eq_resolve :premises (@p988 @p987)) % 0.97/1.15 (step @p990 :rule refl :args (@t43)) % 0.97/1.15 (step @p991 :rule cong :premises (@p990 @p981) :args ((= @t43 @t1069))) % 0.97/1.15 (step @p992 :rule symm :premises (@p991)) % 0.97/1.15 (step @p993 :rule eq_resolve :premises (@p990 @p992)) % 0.97/1.15 (step @p994 :rule ho_cong :premises (@p984 @p993)) % 0.97/1.15 (step @p995 :rule trans :premises (@p994 @p989)) % 0.97/1.15 (step @p996 :rule cong :premises (@p995) :args (@t1708)) % 0.97/1.15 (step @p997 :rule nary_cong :premises (@p996 @p979) :args (@t1709)) % 0.97/1.15 (step @p998 :rule cong :premises (@p997) :args ((forall @t9 @t1709))) % 0.97/1.15 (step @p999 :rule trans :premises (@p998 @p978)) % 0.97/1.15 (step @p1000 :rule bool-double-not-elim :args (@t1707)) % 0.97/1.15 (step @p1001 :rule refl :args (@t1708)) % 0.97/1.15 (step @p1002 :rule nary_cong :premises (@p1001 @p1000) :args ((or @t1708 (not @t1710)))) % 0.97/1.15 (step @p1003 :rule bool-and-de-morgan :args (@t44 @t1710 true)) % 0.97/1.15 (step @p1004 :rule trans :premises (@p1003 @p1002)) % 0.97/1.15 (step @p1005 :rule cong :premises (@p1004) :args (@t1712)) % 0.97/1.15 (step @p1006 :rule trans :premises (@p1005 @p999)) % 0.97/1.15 (step @p1007 :rule cong :premises (@p1006) :args (@t1713)) % 0.97/1.15 (step @p1008 :rule exists-elim :args ((= (exists @t9 @t1711) @t1713))) % 0.97/1.15 (step @p1009 :rule trans :premises (@p1008 @p1007)) % 0.97/1.15 (step @p1010 :rule cong :premises (@p677 @p546) :args (@t962)) % 0.97/1.15 (step @p1011 :rule cong :premises (@p1010) :args (@t1714)) % 0.97/1.15 (step @p1012 :rule refl :args ((tptp.in @t19 @t43))) % 0.97/1.15 (step @p1013 :rule refl :args (@t19)) % 0.97/1.15 (step @p1014 :rule cong :premises (@p1013 @p981) :args (@t1706)) % 0.97/1.15 (step @p1015 :rule trans :premises (@p1014 @p1012)) % 0.97/1.15 (step @p1016 :rule refl :args (@t20)) % 0.97/1.15 (step @p1017 :rule ho_cong :premises (@p1016 @p981)) % 0.97/1.15 (step @p1018 :rule cong :premises (@p1017 @p1015) :args ((= (_ @t20 @t1069) @t1706))) % 0.97/1.15 (step @p1019 :rule symm :premises (@p1018)) % 0.97/1.15 (step @p1020 :rule refl :args (@t963)) % 0.97/1.15 (step @p1021 :rule eq_resolve :premises (@p1020 @p1019)) % 0.97/1.15 (step @p1022 :rule ho_cong :premises (@p1016 @p993)) % 0.97/1.15 (step @p1023 :rule trans :premises (@p1022 @p1021)) % 0.97/1.15 (step @p1024 :rule cong :premises (@p1023) :args (@t1715)) % 0.97/1.15 (step @p1025 :rule nary_cong :premises (@p1024 @p1011) :args (@t1716)) % 0.97/1.15 (step @p1026 :rule cong :premises (@p1025) :args ((forall @t70 @t1716))) % 0.97/1.15 (step @p1027 :rule bool-and-de-morgan :args (@t963 @t962 true)) % 0.97/1.15 (step @p1028 :rule cong :premises (@p1027) :args (@t1717)) % 0.97/1.15 (step @p1029 :rule trans :premises (@p1028 @p1026)) % 0.97/1.15 (step @p1030 :rule cong :premises (@p1029) :args (@t1718)) % 0.97/1.15 (step @p1031 :rule exists-elim :args ((= @t965 @t1718))) % 0.97/1.15 (step @p1032 :rule trans :premises (@p1031 @p1030)) % 0.97/1.15 (step @p1033 :rule refl :args (@t44)) % 0.97/1.15 (step @p1034 :rule nary_cong :premises (@p1033 @p1032) :args (@t966)) % 0.97/1.15 (step @p1035 :rule cong :premises (@p1034) :args (@t967)) % 0.97/1.15 (step @p1036 :rule trans :premises (@p1035 @p1009)) % 0.97/1.15 (step @p1037 :rule cong :premises (@p1036) :args (@t968)) % 0.97/1.15 (step @p1038 :rule trans :premises (@p173 @p1037)) % 0.97/1.15 (step @p1039 :rule ho_cong :premises (@p1038 @p644)) % 0.97/1.15 (step @p1040 :rule cong :premises (@p1039 @p966) :args (@t749)) % 0.97/1.15 (step @p1041 :rule cong :premises (@p1040) :args (@t751)) % 0.97/1.15 (step @p1042 :rule cong :premises (@p963 @p1041) :args (@t752)) % 0.97/1.15 (step @p1043 :rule trans :premises (@p1042 @p964)) % 0.97/1.15 (step @p1044 :rule eq_resolve :premises (@p160 @p1043)) % 0.97/1.15 (step @p1045 :rule cong :premises (@p1044 @p856) :args (@t1719)) % 0.97/1.15 (step @p1046 :rule refl :args ((tptp.in @t741 @t618))) % 0.97/1.15 (step @p1047 :rule cong :premises (@p463 @p512) :args (@t1019)) % 0.97/1.15 (step @p1048 :rule trans :premises (@p1047 @p1046)) % 0.97/1.15 (step @p1049 :rule ho_cong :premises (@p681 @p463)) % 0.97/1.15 (step @p1050 :rule ho_cong :premises (@p1049 @p512)) % 0.97/1.15 (step @p1051 :rule cong :premises (@p1050 @p1048) :args ((= (_ (_ tptp.in @t975) @t982) @t1019))) % 0.97/1.15 (step @p1052 :rule symm :premises (@p1051)) % 0.97/1.15 (step @p1053 :rule refl :args (@t742)) % 0.97/1.15 (step @p1054 :rule eq_resolve :premises (@p1053 @p1052)) % 0.97/1.15 (step @p1055 :rule ho_cong :premises (@p681 @p497)) % 0.97/1.15 (step @p1056 :rule ho_cong :premises (@p1055 @p546)) % 0.97/1.15 (step @p1057 :rule trans :premises (@p1056 @p1054)) % 0.97/1.15 (step @p1058 :rule cong :premises (@p1057) :args (@t1720)) % 0.97/1.15 (step @p1059 :rule nary_cong :premises (@p1058 @p636) :args (@t1721)) % 0.97/1.15 (step @p1060 :rule cong :premises (@p1059) :args ((forall @t295 @t1721))) % 0.97/1.15 (step @p1061 :rule bool-impl-elim :args (@t742 @t739)) % 0.97/1.15 (step @p1062 :rule cong :premises (@p1061) :args (@t743)) % 0.97/1.15 (step @p1063 :rule trans :premises (@p1062 @p1060)) % 0.97/1.15 (step @p1064 :rule refl :args (tptp.setukpairinjL1)) % 0.97/1.15 (step @p1065 :rule cong :premises (@p1064 @p1063) :args (@t744)) % 0.97/1.15 (step @p1066 :rule eq_resolve :premises (@p159 @p1065)) % 0.97/1.15 (step @p1067 :rule cong :premises (@p1066 @p1045) :args (@t1722)) % 0.97/1.15 (step @p1068 :rule eq-symm :args (@t976 @t981)) % 0.97/1.15 (step @p1069 :rule cong :premises (@p1068) :args (@t1723)) % 0.97/1.15 (step @p1070 :rule nary_cong :premises (@p1069 @p628) :args (@t1724)) % 0.97/1.15 (step @p1071 :rule cong :premises (@p1070) :args ((forall @t135 @t1724))) % 0.97/1.15 (step @p1072 :rule refl :args (@t129)) % 0.97/1.15 (step @p1073 :rule cong :premises (@p534 @p543) :args (@t1725)) % 0.97/1.15 (step @p1074 :rule cong :premises (@p1073) :args (@t1726)) % 0.97/1.15 (step @p1075 :rule nary_cong :premises (@p1074 @p1072) :args (@t1727)) % 0.97/1.15 (step @p1076 :rule cong :premises (@p1075) :args ((forall @t135 @t1727))) % 0.97/1.15 (step @p1077 :rule trans :premises (@p1076 @p1071)) % 0.97/1.15 (step @p1078 :rule bool-impl-elim :args (@t1725 @t129)) % 0.97/1.15 (step @p1079 :rule cong :premises (@p1078) :args ((forall @t135 (=> @t1725 @t129)))) % 0.97/1.15 (step @p1080 :rule trans :premises (@p1079 @p1077)) % 0.97/1.15 (step @p1081 :rule eq-symm :args (@t279 @t275)) % 0.97/1.15 (step @p1082 :rule cong :premises (@p1081 @p628) :args (@t736)) % 0.97/1.15 (step @p1083 :rule cong :premises (@p1082) :args (@t737)) % 0.97/1.15 (step @p1084 :rule trans :premises (@p1083 @p1080)) % 0.97/1.15 (step @p1085 :rule refl :args (tptp.singletonsuniq)) % 0.97/1.15 (step @p1086 :rule cong :premises (@p1085 @p1084) :args (@t738)) % 0.97/1.15 (step @p1087 :rule eq_resolve :premises (@p158 @p1086)) % 0.97/1.15 (step @p1088 :rule cong :premises (@p1087 @p1067) :args (@t1728)) % 0.97/1.15 (step @p1089 :rule aci_norm :args ((= @t1730 @t1040))) % 0.97/1.15 (step @p1090 :rule cong :premises (@p1089) :args (@t1731)) % 0.97/1.15 (step @p1091 :rule quant-merge-prenex :args ((= (forall @t309 @t1733) @t1731))) % 0.97/1.15 (step @p1092 :rule refl :args (@t1027)) % 0.97/1.15 (step @p1093 :rule alpha_equiv :args (@t1734 (@list @t1020) @t1631)) % 0.97/1.15 (step @p1094 :rule refl :args (@t1039)) % 0.97/1.15 (step @p1095 :rule nary_cong :premises (@p1094 @p1093 @p1092) :args (@t1735)) % 0.97/1.15 (step @p1096 :rule quant-miniscope-or :args ((= @t1733 @t1735))) % 0.97/1.15 (step @p1097 :rule trans :premises (@p1096 @p1095)) % 0.97/1.15 (step @p1098 :rule symm :premises (@p1097)) % 0.97/1.15 (step @p1099 :rule cong :premises (@p1098) :args ((forall @t309 @t1736))) % 0.97/1.15 (step @p1100 :rule trans :premises (@p1099 @p1091)) % 0.97/1.15 (step @p1101 :rule trans :premises (@p1100 @p1090)) % 0.97/1.15 (step @p1102 :rule aci_norm :args ((= (or @t1039 (or @t1057 @t1027)) @t1736))) % 0.97/1.15 (step @p1103 :rule bool-double-not-elim :args (@t1057)) % 0.97/1.15 (step @p1104 :rule nary_cong :premises (@p1103 @p1092) :args ((or @t1737 @t1027))) % 0.97/1.15 (step @p1105 :rule bool-impl-elim :args (@t1058 @t1027)) % 0.97/1.15 (step @p1106 :rule trans :premises (@p1105 @p1104)) % 0.97/1.15 (step @p1107 :rule nary_cong :premises (@p1094 @p1106) :args ((or @t1039 @t1738))) % 0.97/1.15 (step @p1108 :rule trans :premises (@p1107 @p1102)) % 0.97/1.15 (step @p1109 :rule bool-impl-elim :args (@t1038 @t1738)) % 0.97/1.15 (step @p1110 :rule trans :premises (@p1109 @p1108)) % 0.97/1.15 (step @p1111 :rule cong :premises (@p1110) :args ((forall @t309 (=> @t1038 @t1738)))) % 0.97/1.15 (step @p1112 :rule trans :premises (@p1111 @p1101)) % 0.97/1.15 (step @p1113 :rule lambda-elim :args ((= @t1742 @t143))) % 0.97/1.15 (step @p1114 :rule refl :args (@t2)) % 0.97/1.15 (step @p1115 :rule cong :premises (@p1114 @p1113) :args (@t1743)) % 0.97/1.15 (step @p1116 :rule refl :args (@t981)) % 0.97/1.15 (step @p1117 :rule cong :premises (@p1116 @p1115) :args (@t1744)) % 0.97/1.15 (step @p1118 :rule cong :premises (@p1117) :args (@t1745)) % 0.97/1.15 (step @p1119 :rule cong :premises (@p662 @p1115) :args (@t1746)) % 0.97/1.15 (step @p1120 :rule cong :premises (@p1119) :args (@t1747)) % 0.97/1.15 (step @p1121 :rule nary_cong :premises (@p1120 @p1118) :args (@t1748)) % 0.97/1.15 (step @p1122 :rule cong :premises (@p1121) :args ((forall @t9 @t1748))) % 0.97/1.15 (step @p1123 :rule refl :args (@t1740)) % 0.97/1.15 (step @p1124 :rule refl :args (@t1749)) % 0.97/1.15 (step @p1125 :rule cong :premises (@p1124 @p1123) :args ((= @t1749 @t1740))) % 0.97/1.15 (step @p1126 :rule symm :premises (@p1125)) % 0.97/1.15 (step @p1127 :rule eq_resolve :premises (@p1124 @p1126)) % 0.97/1.15 (step @p1128 :rule cong :premises (@p1127) :args (@t1750)) % 0.97/1.15 (step @p1129 :rule cong :premises (@p677 @p1128) :args (@t1751)) % 0.97/1.15 (step @p1130 :rule cong :premises (@p933 @p1129) :args (@t1752)) % 0.97/1.15 (step @p1131 :rule cong :premises (@p1130) :args (@t1753)) % 0.97/1.15 (step @p1132 :rule cong :premises (@p505 @p1129) :args (@t1754)) % 0.97/1.15 (step @p1133 :rule cong :premises (@p1132) :args (@t1755)) % 0.97/1.15 (step @p1134 :rule nary_cong :premises (@p1133 @p1131) :args (@t1756)) % 0.97/1.15 (step @p1135 :rule cong :premises (@p1134) :args ((forall @t9 @t1756))) % 0.97/1.15 (step @p1136 :rule trans :premises (@p1135 @p1122)) % 0.97/1.15 (step @p1137 :rule alpha_equiv :args (@t145 @t1631 (@list @t1739))) % 0.97/1.15 (step @p1138 :rule cong :premises (@p677 @p1137) :args (@t1757)) % 0.97/1.15 (step @p1139 :rule cong :premises (@p933 @p1138) :args (@t1758)) % 0.97/1.15 (step @p1140 :rule cong :premises (@p1139) :args (@t1759)) % 0.97/1.15 (step @p1141 :rule cong :premises (@p505 @p1138) :args (@t1760)) % 0.97/1.15 (step @p1142 :rule cong :premises (@p1141) :args (@t1761)) % 0.97/1.15 (step @p1143 :rule nary_cong :premises (@p1142 @p1140) :args (@t1762)) % 0.97/1.15 (step @p1144 :rule cong :premises (@p1143) :args (@t1763)) % 0.97/1.15 (step @p1145 :rule trans :premises (@p1144 @p1136)) % 0.97/1.15 (step @p1146 :rule cong :premises (@p1145) :args (@t1764)) % 0.97/1.15 (step @p1147 :rule beta-reduce :args ((= (_ @t1765 @t145) @t1764))) % 0.97/1.15 (step @p1148 :rule trans :premises (@p1147 @p1146)) % 0.97/1.15 (step @p1149 :rule refl :args (@t145)) % 0.97/1.15 (step @p1150 :rule beta-reduce :args ((= @t1766 @t1765))) % 0.97/1.15 (step @p1151 :rule ho_cong :premises (@p1150 @p1149)) % 0.97/1.15 (step @p1152 :rule trans :premises (@p1151 @p1148)) % 0.97/1.15 (step @p1153 :rule refl :args (@t1032)) % 0.97/1.15 (step @p1154 :rule refl :args (@t144)) % 0.97/1.15 (step @p1155 :rule cong :premises (@p1154 @p1153) :args ((= @t144 @t1032))) % 0.97/1.15 (step @p1156 :rule symm :premises (@p1155)) % 0.97/1.15 (step @p1157 :rule eq_resolve :premises (@p1154 @p1156)) % 0.97/1.15 (step @p1158 :rule cong :premises (@p1157) :args (@t315)) % 0.97/1.15 (step @p1159 :rule nary_cong :premises (@p839 @p1158) :args (@t1767)) % 0.97/1.15 (step @p1160 :rule cong :premises (@p1159) :args ((forall @t9 @t1767))) % 0.97/1.15 (step @p1161 :rule bool-and-de-morgan :args (@t7 @t144 true)) % 0.97/1.15 (step @p1162 :rule cong :premises (@p1161) :args (@t1768)) % 0.97/1.15 (step @p1163 :rule trans :premises (@p1162 @p1160)) % 0.97/1.15 (step @p1164 :rule cong :premises (@p1163) :args (@t1769)) % 0.97/1.15 (step @p1165 :rule exists-elim :args ((= @t307 @t1769))) % 0.97/1.15 (step @p1166 :rule trans :premises (@p1165 @p1164)) % 0.97/1.15 (step @p1167 :rule cong :premises (@p1166 @p1152) :args (@t1771)) % 0.97/1.15 (step @p1168 :rule aci_norm :args ((= @t1773 @t1036))) % 0.97/1.15 (step @p1169 :rule cong :premises (@p1168) :args (@t1774)) % 0.97/1.15 (step @p1170 :rule quant-merge-prenex :args ((= (forall @t9 @t1776) @t1774))) % 0.97/1.15 (step @p1171 :rule alpha_equiv :args (@t1777 (@list @t1028) @t1704)) % 0.97/1.15 (step @p1172 :rule refl :args (@t1033)) % 0.97/1.15 (step @p1173 :rule refl :args (@t1035)) % 0.97/1.15 (step @p1174 :rule nary_cong :premises (@p1173 @p1172 @p1171) :args (@t1778)) % 0.97/1.15 (step @p1175 :rule quant-miniscope-or :args ((= @t1776 @t1778))) % 0.97/1.15 (step @p1176 :rule trans :premises (@p1175 @p1174)) % 0.97/1.15 (step @p1177 :rule symm :premises (@p1176)) % 0.97/1.15 (step @p1178 :rule cong :premises (@p1177) :args ((forall @t9 (or @t1035 @t1033 @t1052)))) % 0.97/1.15 (step @p1179 :rule trans :premises (@p1178 @p1170)) % 0.97/1.15 (step @p1180 :rule trans :premises (@p1179 @p1169)) % 0.97/1.15 (step @p1181 :rule refl :args (@t1052)) % 0.97/1.15 (step @p1182 :rule nary_cong :premises (@p839 @p1158 @p1181) :args (@t1779)) % 0.97/1.15 (step @p1183 :rule cong :premises (@p1182) :args ((forall @t9 @t1779))) % 0.97/1.15 (step @p1184 :rule trans :premises (@p1183 @p1180)) % 0.97/1.15 (step @p1185 :rule aci_norm :args ((= (or @t197 @t1780) @t1779))) % 0.97/1.15 (step @p1186 :rule bool-impl-elim :args (@t7 @t1780)) % 0.97/1.15 (step @p1187 :rule trans :premises (@p1186 @p1185)) % 0.97/1.15 (step @p1188 :rule cong :premises (@p1187) :args ((forall @t9 (=> @t7 @t1780)))) % 0.97/1.15 (step @p1189 :rule trans :premises (@p1188 @p1184)) % 0.97/1.15 (step @p1190 :rule refl :args (@t1048)) % 0.97/1.15 (step @p1191 :rule refl :args (@t153)) % 0.97/1.15 (step @p1192 :rule cong :premises (@p1191 @p1190) :args ((= @t153 @t1048))) % 0.97/1.15 (step @p1193 :rule symm :premises (@p1192)) % 0.97/1.15 (step @p1194 :rule eq_resolve :premises (@p1191 @p1193)) % 0.97/1.15 (step @p1195 :rule cong :premises (@p1194) :args (@t1781)) % 0.97/1.15 (step @p1196 :rule refl :args (@t1050)) % 0.97/1.15 (step @p1197 :rule refl :args (@t21)) % 0.97/1.15 (step @p1198 :rule cong :premises (@p1197 @p1196) :args ((= @t21 @t1050))) % 0.97/1.15 (step @p1199 :rule symm :premises (@p1198)) % 0.97/1.15 (step @p1200 :rule eq_resolve :premises (@p1197 @p1199)) % 0.97/1.15 (step @p1201 :rule cong :premises (@p1200) :args (@t1782)) % 0.97/1.15 (step @p1202 :rule nary_cong :premises (@p1201 @p1195 @p1072) :args (@t1783)) % 0.97/1.15 (step @p1203 :rule cong :premises (@p1202) :args (@t1784)) % 0.97/1.15 (step @p1204 :rule refl :args (@t315)) % 0.97/1.15 (step @p1205 :rule nary_cong :premises (@p1204 @p1203) :args (@t1785)) % 0.97/1.15 (step @p1206 :rule quant-miniscope-or :args ((= (forall @t70 @t1786) @t1785))) % 0.97/1.15 (step @p1207 :rule aci_norm :args ((= @t1787 @t1786))) % 0.97/1.15 (step @p1208 :rule cong :premises (@p1207) :args ((forall @t70 @t1787))) % 0.97/1.15 (step @p1209 :rule trans :premises (@p1208 @p1206)) % 0.97/1.15 (step @p1210 :rule trans :premises (@p1209 @p1205)) % 0.97/1.15 (step @p1211 :rule aci_norm :args ((= (or @t1782 @t1788) @t1787))) % 0.97/1.15 (step @p1212 :rule aci_norm :args ((= (or @t315 @t1789) @t1788))) % 0.97/1.15 (step @p1213 :rule bool-impl-elim :args (@t153 @t129)) % 0.97/1.15 (step @p1214 :rule refl :args (@t315)) % 0.97/1.15 (step @p1215 :rule nary_cong :premises (@p1214 @p1213) :args ((or @t315 @t166))) % 0.97/1.15 (step @p1216 :rule trans :premises (@p1215 @p1212)) % 0.97/1.15 (step @p1217 :rule bool-impl-elim :args (@t144 @t166)) % 0.97/1.15 (step @p1218 :rule trans :premises (@p1217 @p1216)) % 0.97/1.15 (step @p1219 :rule refl :args (@t1782)) % 0.97/1.15 (step @p1220 :rule nary_cong :premises (@p1219 @p1218) :args ((or @t1782 @t343))) % 0.97/1.15 (step @p1221 :rule trans :premises (@p1220 @p1211)) % 0.97/1.15 (step @p1222 :rule bool-impl-elim :args (@t21 @t343)) % 0.97/1.15 (step @p1223 :rule trans :premises (@p1222 @p1221)) % 0.97/1.15 (step @p1224 :rule cong :premises (@p1223) :args (@t713)) % 0.97/1.15 (step @p1225 :rule trans :premises (@p1224 @p1210)) % 0.97/1.15 (step @p1226 :rule refl :args (@t7)) % 0.97/1.15 (step @p1227 :rule cong :premises (@p1226 @p1225) :args (@t714)) % 0.97/1.15 (step @p1228 :rule cong :premises (@p1227) :args (@t715)) % 0.97/1.15 (step @p1229 :rule trans :premises (@p1228 @p1189)) % 0.97/1.15 (step @p1230 :rule cong :premises (@p1229 @p1167) :args (@t1790)) % 0.97/1.15 (step @p1231 :rule cong :premises (@p1230) :args (@t1791)) % 0.97/1.15 (step @p1232 :rule trans :premises (@p1231 @p1112)) % 0.97/1.15 (step @p1233 :rule refl :args (tptp.ex1I2)) % 0.97/1.15 (step @p1234 :rule cong :premises (@p1233 @p1232) :args ((= tptp.ex1I2 @t1791))) % 0.97/1.15 (step @p1235 :rule lambda-elim :args ((= @t1795 @t143))) % 0.97/1.15 (step @p1236 :rule cong :premises (@p1114 @p1235) :args (@t1796)) % 0.97/1.15 (step @p1237 :rule cong :premises (@p1116 @p1236) :args (@t1797)) % 0.97/1.15 (step @p1238 :rule cong :premises (@p1237) :args (@t1798)) % 0.97/1.15 (step @p1239 :rule cong :premises (@p662 @p1236) :args (@t1799)) % 0.97/1.15 (step @p1240 :rule cong :premises (@p1239) :args (@t1800)) % 0.97/1.15 (step @p1241 :rule nary_cong :premises (@p1240 @p1238) :args (@t1801)) % 0.97/1.15 (step @p1242 :rule cong :premises (@p1241) :args ((forall @t9 @t1801))) % 0.97/1.15 (step @p1243 :rule refl :args ((tptp.dsetconstr @t2 @t1803))) % 0.97/1.15 (step @p1244 :rule refl :args (@t1793)) % 0.97/1.15 (step @p1245 :rule cong :premises (@p1244) :args (@t1795)) % 0.97/1.15 (step @p1246 :rule cong :premises (@p677 @p1245) :args (@t1796)) % 0.97/1.15 (step @p1247 :rule trans :premises (@p1246 @p1243)) % 0.97/1.15 (step @p1248 :rule refl :args (@t155)) % 0.97/1.15 (step @p1249 :rule ho_cong :premises (@p1248 @p1245)) % 0.97/1.15 (step @p1250 :rule cong :premises (@p1249 @p1247) :args ((= (_ @t155 @t1795) @t1796))) % 0.97/1.15 (step @p1251 :rule symm :premises (@p1250)) % 0.97/1.15 (step @p1252 :rule refl :args (@t1804)) % 0.97/1.15 (step @p1253 :rule eq_resolve :premises (@p1252 @p1251)) % 0.97/1.15 (step @p1254 :rule refl :args (@t1802)) % 0.97/1.15 (step @p1255 :rule cong :premises (@p1254 @p1244) :args ((= @t1802 @t1793))) % 0.97/1.15 (step @p1256 :rule symm :premises (@p1255)) % 0.97/1.15 (step @p1257 :rule eq_resolve :premises (@p1254 @p1256)) % 0.97/1.15 (step @p1258 :rule cong :premises (@p1257) :args (@t1803)) % 0.97/1.15 (step @p1259 :rule ho_cong :premises (@p1248 @p1258)) % 0.97/1.15 (step @p1260 :rule trans :premises (@p1259 @p1253)) % 0.97/1.15 (step @p1261 :rule cong :premises (@p933 @p1260) :args (@t1805)) % 0.97/1.15 (step @p1262 :rule cong :premises (@p1261) :args (@t1806)) % 0.97/1.15 (step @p1263 :rule cong :premises (@p505 @p1260) :args (@t1807)) % 0.97/1.15 (step @p1264 :rule cong :premises (@p1263) :args (@t1808)) % 0.97/1.15 (step @p1265 :rule nary_cong :premises (@p1264 @p1262) :args (@t1809)) % 0.97/1.15 (step @p1266 :rule cong :premises (@p1265) :args ((forall @t9 @t1809))) % 0.97/1.15 (step @p1267 :rule trans :premises (@p1266 @p1242)) % 0.97/1.15 (step @p1268 :rule eq-symm :args (@t1804 @t981)) % 0.97/1.15 (step @p1269 :rule cong :premises (@p1268) :args (@t1810)) % 0.97/1.15 (step @p1270 :rule refl :args (@t1808)) % 0.97/1.15 (step @p1271 :rule nary_cong :premises (@p1270 @p1269) :args (@t1811)) % 0.97/1.15 (step @p1272 :rule cong :premises (@p1271) :args ((forall @t9 @t1811))) % 0.97/1.15 (step @p1273 :rule trans :premises (@p1272 @p1267)) % 0.97/1.15 (step @p1274 :rule alpha_equiv :args (@t145 @t1631 (@list @t1792))) % 0.97/1.15 (step @p1275 :rule ho_cong :premises (@p1248 @p1274)) % 0.97/1.15 (step @p1276 :rule cong :premises (@p1275 @p933) :args (@t1812)) % 0.97/1.15 (step @p1277 :rule cong :premises (@p1276) :args (@t1813)) % 0.97/1.15 (step @p1278 :rule cong :premises (@p505 @p1275) :args (@t1814)) % 0.97/1.15 (step @p1279 :rule cong :premises (@p1278) :args (@t1815)) % 0.97/1.15 (step @p1280 :rule nary_cong :premises (@p1279 @p1277) :args (@t1816)) % 0.97/1.15 (step @p1281 :rule cong :premises (@p1280) :args (@t1817)) % 0.97/1.15 (step @p1282 :rule trans :premises (@p1281 @p1273)) % 0.97/1.15 (step @p1283 :rule cong :premises (@p1282) :args (@t1818)) % 0.97/1.15 (step @p1284 :rule beta-reduce :args ((= @t1819 @t1818))) % 0.97/1.15 (step @p1285 :rule trans :premises (@p1284 @p1283)) % 0.97/1.15 (step @p1286 :rule refl :args (@t304)) % 0.97/1.15 (step @p1287 :rule ho_cong :premises (@p849 @p1286)) % 0.97/1.15 (step @p1288 :rule trans :premises (@p1287 @p1285)) % 0.97/1.15 (step @p1289 :rule cong :premises (@p1288) :args (@t974)) % 0.97/1.15 (step @p1290 :rule trans :premises (@p176 @p1289)) % 0.97/1.15 (step @p1291 :rule ho_cong :premises (@p1290 @p1114)) % 0.97/1.15 (step @p1292 :rule ho_cong :premises (@p1291 @p1149)) % 0.97/1.15 (step @p1293 :rule refl :args (@t307)) % 0.97/1.15 (step @p1294 :rule cong :premises (@p1293 @p1292) :args (@t732)) % 0.97/1.15 (step @p1295 :rule refl :args (@t715)) % 0.97/1.15 (step @p1296 :rule cong :premises (@p1295 @p1294) :args (@t733)) % 0.97/1.15 (step @p1297 :rule cong :premises (@p1296) :args (@t734)) % 0.97/1.15 (step @p1298 :rule cong :premises (@p1233 @p1297) :args (@t735)) % 0.97/1.15 (step @p1299 :rule trans :premises (@p1298 @p1234)) % 0.97/1.15 (step @p1300 :rule eq_resolve :premises (@p157 @p1299)) % 0.97/1.15 (step @p1301 :rule cong :premises (@p1300 @p1088) :args (@t1820)) % 0.97/1.15 (step @p1302 :rule refl :args (@t1047)) % 0.97/1.15 (step @p1303 :rule refl :args (@t1053)) % 0.97/1.15 (step @p1304 :rule nary_cong :premises (@p839 @p1158 @p1303 @p1302) :args (@t1821)) % 0.97/1.15 (step @p1305 :rule cong :premises (@p1304) :args ((forall @t159 @t1821))) % 0.97/1.15 (step @p1306 :rule aci_norm :args ((= (or @t197 @t1822) @t1821))) % 0.97/1.15 (step @p1307 :rule aci_norm :args ((= (or @t315 (or @t1053 @t1047)) @t1822))) % 0.97/1.15 (step @p1308 :rule bool-impl-elim :args (@t1052 @t1047)) % 0.97/1.15 (step @p1309 :rule nary_cong :premises (@p1214 @p1308) :args ((or @t315 @t1823))) % 0.97/1.15 (step @p1310 :rule trans :premises (@p1309 @p1307)) % 0.97/1.15 (step @p1311 :rule bool-impl-elim :args (@t144 @t1823)) % 0.97/1.15 (step @p1312 :rule trans :premises (@p1311 @p1310)) % 0.97/1.15 (step @p1313 :rule refl :args (@t197)) % 0.97/1.15 (step @p1314 :rule nary_cong :premises (@p1313 @p1312) :args ((or @t197 @t1824))) % 0.97/1.15 (step @p1315 :rule trans :premises (@p1314 @p1306)) % 0.97/1.15 (step @p1316 :rule bool-impl-elim :args (@t7 @t1824)) % 0.97/1.15 (step @p1317 :rule trans :premises (@p1316 @p1315)) % 0.97/1.15 (step @p1318 :rule cong :premises (@p1317) :args ((forall @t159 (=> @t7 @t1824)))) % 0.97/1.15 (step @p1319 :rule trans :premises (@p1318 @p1305)) % 0.97/1.15 (step @p1320 :rule eq-symm :args (@t1044 @t1023)) % 0.97/1.15 (step @p1321 :rule cong :premises (@p1320) :args (@t1825)) % 0.97/1.15 (step @p1322 :rule refl :args (@t1045)) % 0.97/1.15 (step @p1323 :rule nary_cong :premises (@p1322 @p1321) :args (@t1826)) % 0.97/1.15 (step @p1324 :rule cong :premises (@p1323) :args (@t1827)) % 0.97/1.15 (step @p1325 :rule cong :premises (@p1324) :args (@t1828)) % 0.97/1.15 (step @p1326 :rule refl :args (@t1052)) % 0.97/1.15 (step @p1327 :rule cong :premises (@p1326 @p1325) :args (@t1829)) % 0.97/1.15 (step @p1328 :rule refl :args (@t144)) % 0.97/1.15 (step @p1329 :rule cong :premises (@p1328 @p1327) :args (@t1830)) % 0.97/1.15 (step @p1330 :rule cong :premises (@p1226 @p1329) :args (@t1831)) % 0.97/1.15 (step @p1331 :rule cong :premises (@p1330) :args ((forall @t159 @t1831))) % 0.97/1.15 (step @p1332 :rule trans :premises (@p1331 @p1319)) % 0.97/1.15 (step @p1333 :rule alpha_equiv :args (@t1026 @t1631 (@list @t1043))) % 0.97/1.15 (step @p1334 :rule cong :premises (@p1333) :args (@t1027)) % 0.97/1.15 (step @p1335 :rule cong :premises (@p1181 @p1334) :args (@t1832)) % 0.97/1.15 (step @p1336 :rule cong :premises (@p1154 @p1335) :args (@t1833)) % 0.97/1.15 (step @p1337 :rule cong :premises (@p835 @p1336) :args (@t1834)) % 0.97/1.15 (step @p1338 :rule cong :premises (@p1337) :args ((forall @t159 @t1834))) % 0.97/1.15 (step @p1339 :rule trans :premises (@p1338 @p1332)) % 0.97/1.15 (step @p1340 :rule lambda-elim :args ((= @t1835 @t143))) % 0.97/1.15 (step @p1341 :rule cong :premises (@p1114 @p1340) :args (@t1836)) % 0.97/1.15 (step @p1342 :rule cong :premises (@p1116 @p1341) :args (@t1837)) % 0.97/1.15 (step @p1343 :rule cong :premises (@p1342) :args (@t1838)) % 0.97/1.15 (step @p1344 :rule cong :premises (@p662 @p1341) :args (@t1839)) % 0.97/1.15 (step @p1345 :rule cong :premises (@p1344) :args (@t1840)) % 0.97/1.15 (step @p1346 :rule nary_cong :premises (@p1345 @p1343) :args (@t1841)) % 0.97/1.15 (step @p1347 :rule cong :premises (@p1346) :args ((forall @t9 @t1841))) % 0.97/1.15 (step @p1348 :rule cong :premises (@p1194) :args (@t154)) % 0.97/1.15 (step @p1349 :rule cong :premises (@p677 @p1348) :args (@t1842)) % 0.97/1.15 (step @p1350 :rule cong :premises (@p933 @p1349) :args (@t1843)) % 0.97/1.15 (step @p1351 :rule cong :premises (@p1350) :args (@t1844)) % 0.97/1.15 (step @p1352 :rule cong :premises (@p505 @p1349) :args (@t1845)) % 0.97/1.15 (step @p1353 :rule cong :premises (@p1352) :args (@t1846)) % 0.97/1.15 (step @p1354 :rule nary_cong :premises (@p1353 @p1351) :args (@t1847)) % 0.97/1.15 (step @p1355 :rule cong :premises (@p1354) :args (@t1848)) % 0.97/1.15 (step @p1356 :rule trans :premises (@p1355 @p1347)) % 0.97/1.15 (step @p1357 :rule cong :premises (@p1356) :args (@t1849)) % 0.97/1.15 (step @p1358 :rule beta-reduce :args ((= (_ @t1765 @t154) @t1849))) % 0.97/1.15 (step @p1359 :rule trans :premises (@p1358 @p1357)) % 0.97/1.15 (step @p1360 :rule refl :args (@t154)) % 0.97/1.15 (step @p1361 :rule ho_cong :premises (@p1150 @p1360)) % 0.97/1.15 (step @p1362 :rule trans :premises (@p1361 @p1359)) % 0.97/1.15 (step @p1363 :rule aci_norm :args ((= (or @t1782 @t1789) @t1783))) % 0.97/1.15 (step @p1364 :rule nary_cong :premises (@p1219 @p1213) :args ((or @t1782 @t166))) % 0.97/1.15 (step @p1365 :rule trans :premises (@p1364 @p1363)) % 0.97/1.15 (step @p1366 :rule bool-impl-elim :args (@t21 @t166)) % 0.97/1.15 (step @p1367 :rule trans :premises (@p1366 @p1365)) % 0.97/1.15 (step @p1368 :rule cong :premises (@p1367) :args ((forall @t70 (=> @t21 @t166)))) % 0.97/1.15 (step @p1369 :rule trans :premises (@p1368 @p1203)) % 0.97/1.15 (step @p1370 :rule eq-symm :args (@t19 @t4)) % 0.97/1.15 (step @p1371 :rule refl :args (@t153)) % 0.97/1.15 (step @p1372 :rule cong :premises (@p1371 @p1370) :args (@t724)) % 0.97/1.15 (step @p1373 :rule refl :args (@t21)) % 0.97/1.15 (step @p1374 :rule cong :premises (@p1373 @p1372) :args (@t725)) % 0.97/1.15 (step @p1375 :rule cong :premises (@p1374) :args (@t726)) % 0.97/1.15 (step @p1376 :rule trans :premises (@p1375 @p1369)) % 0.97/1.15 (step @p1377 :rule cong :premises (@p1376 @p1362) :args (@t1850)) % 0.97/1.15 (step @p1378 :rule cong :premises (@p1328 @p1377) :args (@t1851)) % 0.97/1.15 (step @p1379 :rule cong :premises (@p1226 @p1378) :args (@t1852)) % 0.97/1.15 (step @p1380 :rule cong :premises (@p1379) :args (@t1853)) % 0.97/1.15 (step @p1381 :rule trans :premises (@p1380 @p1339)) % 0.97/1.15 (step @p1382 :rule refl :args (tptp.ex1I)) % 0.97/1.15 (step @p1383 :rule cong :premises (@p1382 @p1381) :args ((= tptp.ex1I @t1853))) % 0.97/1.15 (step @p1384 :rule ho_cong :premises (@p1291 @p1360)) % 0.97/1.15 (step @p1385 :rule refl :args (@t726)) % 0.97/1.15 (step @p1386 :rule cong :premises (@p1385 @p1384) :args (@t727)) % 0.97/1.15 (step @p1387 :rule cong :premises (@p1328 @p1386) :args (@t728)) % 0.97/1.15 (step @p1388 :rule cong :premises (@p1226 @p1387) :args (@t729)) % 0.97/1.15 (step @p1389 :rule cong :premises (@p1388) :args (@t730)) % 0.97/1.15 (step @p1390 :rule cong :premises (@p1382 @p1389) :args (@t731)) % 0.97/1.15 (step @p1391 :rule trans :premises (@p1390 @p1383)) % 0.97/1.15 (step @p1392 :rule eq_resolve :premises (@p156 @p1391)) % 0.97/1.15 (step @p1393 :rule cong :premises (@p1392 @p1301) :args (@t1854)) % 0.97/1.15 (step @p1394 :rule eq-symm :args (@t1055 @t1023)) % 0.97/1.15 (step @p1395 :rule cong :premises (@p1394) :args (@t1855)) % 0.97/1.15 (step @p1396 :rule refl :args (@t1056)) % 0.97/1.15 (step @p1397 :rule refl :args (@t1058)) % 0.97/1.15 (step @p1398 :rule nary_cong :premises (@p1397 @p1396 @p1395) :args (@t1856)) % 0.97/1.15 (step @p1399 :rule aci_norm :args ((= @t1858 @t1856))) % 0.97/1.15 (step @p1400 :rule trans :premises (@p1399 @p1398)) % 0.97/1.15 (step @p1401 :rule cong :premises (@p1400) :args (@t1859)) % 0.97/1.15 (step @p1402 :rule quant-merge-prenex :args ((= (forall @t309 @t1861) @t1859))) % 0.97/1.15 (step @p1403 :rule refl :args (@t1058)) % 0.97/1.15 (step @p1404 :rule alpha_equiv :args (@t1862 (@list @t1054) @t1631)) % 0.97/1.15 (step @p1405 :rule nary_cong :premises (@p1404 @p1403) :args (@t1863)) % 0.97/1.15 (step @p1406 :rule quant-miniscope-or :args ((= @t1861 @t1863))) % 0.97/1.15 (step @p1407 :rule trans :premises (@p1406 @p1405)) % 0.97/1.15 (step @p1408 :rule symm :premises (@p1407)) % 0.97/1.15 (step @p1409 :rule cong :premises (@p1408) :args ((forall @t309 (or @t1026 @t1058)))) % 0.97/1.15 (step @p1410 :rule trans :premises (@p1409 @p1402)) % 0.97/1.15 (step @p1411 :rule trans :premises (@p1410 @p1401)) % 0.97/1.15 (step @p1412 :rule bool-double-not-elim :args (@t1026)) % 0.97/1.15 (step @p1413 :rule nary_cong :premises (@p1412 @p1403) :args ((or (not @t1027) @t1058))) % 0.97/1.15 (step @p1414 :rule bool-impl-elim :args (@t1027 @t1058)) % 0.97/1.15 (step @p1415 :rule trans :premises (@p1414 @p1413)) % 0.97/1.15 (step @p1416 :rule cong :premises (@p1415) :args ((forall @t309 (=> @t1027 @t1058)))) % 0.97/1.15 (step @p1417 :rule trans :premises (@p1416 @p1411)) % 0.97/1.15 (step @p1418 :rule cong :premises (@p1152 @p1166) :args (@t1864)) % 0.97/1.15 (step @p1419 :rule cong :premises (@p1418) :args (@t1865)) % 0.97/1.15 (step @p1420 :rule trans :premises (@p1419 @p1417)) % 0.97/1.15 (step @p1421 :rule refl :args (tptp.ex1E1)) % 0.97/1.15 (step @p1422 :rule cong :premises (@p1421 @p1420) :args ((= tptp.ex1E1 @t1865))) % 0.97/1.15 (step @p1423 :rule cong :premises (@p1292 @p1293) :args (@t721)) % 0.97/1.15 (step @p1424 :rule cong :premises (@p1423) :args (@t722)) % 0.97/1.15 (step @p1425 :rule cong :premises (@p1421 @p1424) :args (@t723)) % 0.97/1.15 (step @p1426 :rule trans :premises (@p1425 @p1422)) % 0.97/1.15 (step @p1427 :rule eq_resolve :premises (@p155 @p1426)) % 0.97/1.15 (step @p1428 :rule cong :premises (@p1427 @p1393) :args (@t1866)) % 0.97/1.15 (step @p1429 :rule cong :premises (@p1166 @p1285) :args (@t1867)) % 0.97/1.15 (step @p1430 :rule cong :premises (@p1229 @p1429) :args (@t1868)) % 0.97/1.15 (step @p1431 :rule cong :premises (@p1430) :args (@t1869)) % 0.97/1.15 (step @p1432 :rule trans :premises (@p1431 @p1112)) % 0.97/1.15 (step @p1433 :rule refl :args (tptp.singletonprop)) % 0.97/1.15 (step @p1434 :rule cong :premises (@p1433 @p1432) :args ((= tptp.singletonprop @t1869))) % 0.97/1.15 (step @p1435 :rule cong :premises (@p1293 @p1287) :args (@t712)) % 0.97/1.15 (step @p1436 :rule cong :premises (@p1295 @p1435) :args (@t716)) % 0.97/1.15 (step @p1437 :rule cong :premises (@p1436) :args (@t717)) % 0.97/1.15 (step @p1438 :rule cong :premises (@p1433 @p1437) :args (@t718)) % 0.97/1.15 (step @p1439 :rule trans :premises (@p1438 @p1434)) % 0.97/1.15 (step @p1440 :rule eq_resolve :premises (@p154 @p1439)) % 0.97/1.15 (step @p1441 :rule cong :premises (@p1440 @p1428) :args (@t1870)) % 0.97/1.15 (step @p1442 :rule refl :args ((tptp.setunion @t279))) % 0.97/1.15 (step @p1443 :rule cong :premises (@p510) :args (@t1060)) % 0.97/1.15 (step @p1444 :rule trans :premises (@p1443 @p1442)) % 0.97/1.15 (step @p1445 :rule refl :args (tptp.setunion)) % 0.97/1.15 (step @p1446 :rule ho_cong :premises (@p1445 @p510)) % 0.97/1.15 (step @p1447 :rule cong :premises (@p1446 @p1444) :args ((= (_ tptp.setunion @t981) @t1060))) % 0.97/1.15 (step @p1448 :rule symm :premises (@p1447)) % 0.97/1.15 (step @p1449 :rule refl :args (@t708)) % 0.97/1.15 (step @p1450 :rule eq_resolve :premises (@p1449 @p1448)) % 0.97/1.15 (step @p1451 :rule ho_cong :premises (@p1445 @p543)) % 0.97/1.15 (step @p1452 :rule trans :premises (@p1451 @p1450)) % 0.97/1.15 (step @p1453 :rule cong :premises (@p505 @p1452) :args (@t1871)) % 0.97/1.15 (step @p1454 :rule cong :premises (@p1453) :args ((forall @t9 @t1871))) % 0.97/1.15 (step @p1455 :rule eq-symm :args (@t708 @t4)) % 0.97/1.15 (step @p1456 :rule cong :premises (@p1455) :args (@t709)) % 0.97/1.15 (step @p1457 :rule trans :premises (@p1456 @p1454)) % 0.97/1.15 (step @p1458 :rule refl :args (tptp.setunionsingleton)) % 0.97/1.15 (step @p1459 :rule cong :premises (@p1458 @p1457) :args (@t710)) % 0.97/1.15 (step @p1460 :rule eq_resolve :premises (@p153 @p1459)) % 0.97/1.15 (step @p1461 :rule cong :premises (@p1460 @p1441) :args (@t1872)) % 0.97/1.15 (step @p1462 :rule refl :args ((tptp.subset @t2 @t701))) % 0.97/1.15 (step @p1463 :rule refl :args ((tptp.setunion @t700))) % 0.97/1.15 (step @p1464 :rule refl :args (@t1061)) % 0.97/1.15 (step @p1465 :rule cong :premises (@p1464) :args (@t1062)) % 0.97/1.15 (step @p1466 :rule trans :premises (@p1465 @p1463)) % 0.97/1.15 (step @p1467 :rule cong :premises (@p677 @p1466) :args (@t1063)) % 0.97/1.15 (step @p1468 :rule trans :premises (@p1467 @p1462)) % 0.97/1.15 (step @p1469 :rule refl :args (@t419)) % 0.97/1.15 (step @p1470 :rule ho_cong :premises (@p1469 @p1466)) % 0.97/1.15 (step @p1471 :rule cong :premises (@p1470 @p1468) :args ((= (_ @t419 @t1062) @t1063))) % 0.97/1.15 (step @p1472 :rule symm :premises (@p1471)) % 0.97/1.15 (step @p1473 :rule refl :args (@t705)) % 0.97/1.15 (step @p1474 :rule eq_resolve :premises (@p1473 @p1472)) % 0.97/1.15 (step @p1475 :rule ho_cong :premises (@p1445 @p1464)) % 0.97/1.15 (step @p1476 :rule cong :premises (@p1475 @p1466) :args ((= (_ tptp.setunion @t1061) @t1062))) % 0.97/1.15 (step @p1477 :rule symm :premises (@p1476)) % 0.97/1.15 (step @p1478 :rule refl :args (@t701)) % 0.97/1.15 (step @p1479 :rule eq_resolve :premises (@p1478 @p1477)) % 0.97/1.15 (step @p1480 :rule refl :args (@t700)) % 0.97/1.15 (step @p1481 :rule cong :premises (@p1480 @p1464) :args ((= @t700 @t1061))) % 0.97/1.15 (step @p1482 :rule symm :premises (@p1481)) % 0.97/1.15 (step @p1483 :rule eq_resolve :premises (@p1480 @p1482)) % 0.97/1.15 (step @p1484 :rule ho_cong :premises (@p1445 @p1483)) % 0.97/1.15 (step @p1485 :rule trans :premises (@p1484 @p1479)) % 0.97/1.15 (step @p1486 :rule ho_cong :premises (@p1469 @p1485)) % 0.97/1.15 (step @p1487 :rule trans :premises (@p1486 @p1474)) % 0.97/1.15 (step @p1488 :rule cong :premises (@p1487) :args (@t706)) % 0.97/1.15 (step @p1489 :rule refl :args (tptp.setunionsingleton2)) % 0.97/1.15 (step @p1490 :rule cong :premises (@p1489 @p1488) :args (@t707)) % 0.97/1.15 (step @p1491 :rule eq_resolve :premises (@p152 @p1490)) % 0.97/1.15 (step @p1492 :rule cong :premises (@p1491 @p1461) :args (@t1873)) % 0.97/1.15 (step @p1493 :rule refl :args ((tptp.subset @t701 @t2))) % 0.97/1.15 (step @p1494 :rule cong :premises (@p1466 @p677) :args (@t1064)) % 0.97/1.15 (step @p1495 :rule trans :premises (@p1494 @p1493)) % 0.97/1.15 (step @p1496 :rule refl :args (tptp.subset)) % 0.97/1.15 (step @p1497 :rule ho_cong :premises (@p1496 @p1466)) % 0.97/1.15 (step @p1498 :rule ho_cong :premises (@p1497 @p677)) % 0.97/1.15 (step @p1499 :rule cong :premises (@p1498 @p1495) :args ((= (_ (_ tptp.subset @t1062) @t2) @t1064))) % 0.97/1.15 (step @p1500 :rule symm :premises (@p1499)) % 0.97/1.15 (step @p1501 :rule refl :args (@t702)) % 0.97/1.15 (step @p1502 :rule eq_resolve :premises (@p1501 @p1500)) % 0.97/1.15 (step @p1503 :rule ho_cong :premises (@p1496 @p1485)) % 0.97/1.15 (step @p1504 :rule ho_cong :premises (@p1503 @p677)) % 0.97/1.15 (step @p1505 :rule trans :premises (@p1504 @p1502)) % 0.97/1.15 (step @p1506 :rule cong :premises (@p1505) :args (@t703)) % 0.97/1.15 (step @p1507 :rule refl :args (tptp.setunionsingleton1)) % 0.97/1.15 (step @p1508 :rule cong :premises (@p1507 @p1506) :args (@t704)) % 0.97/1.15 (step @p1509 :rule eq_resolve :premises (@p151 @p1508)) % 0.97/1.15 (step @p1510 :rule cong :premises (@p1509 @p1492) :args (@t1874)) % 0.97/1.15 (step @p1511 :rule refl :args (@t1068)) % 0.97/1.15 (step @p1512 :rule nary_cong :premises (@p996 @p1511) :args (@t1875)) % 0.97/1.15 (step @p1513 :rule cong :premises (@p1512) :args ((forall @t46 @t1875))) % 0.97/1.15 (step @p1514 :rule bool-impl-elim :args (@t44 @t1068)) % 0.97/1.15 (step @p1515 :rule cong :premises (@p1514) :args ((forall @t46 (=> @t44 @t1068)))) % 0.97/1.15 (step @p1516 :rule trans :premises (@p1515 @p1513)) % 0.97/1.15 (step @p1517 :rule refl :args (@t1065)) % 0.97/1.15 (step @p1518 :rule refl :args (@t692)) % 0.97/1.15 (step @p1519 :rule cong :premises (@p1518 @p1517) :args ((= @t692 @t1065))) % 0.97/1.15 (step @p1520 :rule symm :premises (@p1519)) % 0.97/1.15 (step @p1521 :rule eq_resolve :premises (@p1518 @p1520)) % 0.97/1.15 (step @p1522 :rule cong :premises (@p1521) :args (@t1876)) % 0.97/1.15 (step @p1523 :rule refl :args (@t1067)) % 0.97/1.15 (step @p1524 :rule refl :args (@t693)) % 0.97/1.15 (step @p1525 :rule cong :premises (@p1524 @p1523) :args ((= @t693 @t1067))) % 0.97/1.15 (step @p1526 :rule symm :premises (@p1525)) % 0.97/1.15 (step @p1527 :rule eq_resolve :premises (@p1524 @p1526)) % 0.97/1.15 (step @p1528 :rule cong :premises (@p1527) :args (@t1877)) % 0.97/1.15 (step @p1529 :rule nary_cong :premises (@p1528 @p1522) :args (@t1878)) % 0.97/1.15 (step @p1530 :rule cong :premises (@p1529) :args ((forall @t695 @t1878))) % 0.97/1.15 (step @p1531 :rule bool-and-de-morgan :args (@t693 @t692 true)) % 0.97/1.15 (step @p1532 :rule cong :premises (@p1531) :args (@t1879)) % 0.97/1.15 (step @p1533 :rule trans :premises (@p1532 @p1530)) % 0.97/1.15 (step @p1534 :rule cong :premises (@p1533) :args (@t1880)) % 0.97/1.15 (step @p1535 :rule exists-elim :args ((= @t696 @t1880))) % 0.97/1.15 (step @p1536 :rule trans :premises (@p1535 @p1534)) % 0.97/1.15 (step @p1537 :rule cong :premises (@p1033 @p1536) :args (@t697)) % 0.97/1.15 (step @p1538 :rule cong :premises (@p1537) :args (@t698)) % 0.97/1.15 (step @p1539 :rule trans :premises (@p1538 @p1516)) % 0.97/1.15 (step @p1540 :rule refl :args (tptp.setunionE2)) % 0.97/1.15 (step @p1541 :rule cong :premises (@p1540 @p1539) :args (@t699)) % 0.97/1.15 (step @p1542 :rule eq_resolve :premises (@p150 @p1541)) % 0.97/1.15 (step @p1543 :rule cong :premises (@p1542 @p1510) :args (@t1881)) % 0.97/1.15 (step @p1544 :rule refl :args (@t1078)) % 0.97/1.15 (step @p1545 :rule nary_cong :premises (@p712 @p1544) :args (@t1882)) % 0.97/1.15 (step @p1546 :rule cong :premises (@p1545) :args ((forall @t684 @t1882))) % 0.97/1.15 (step @p1547 :rule bool-impl-elim :args (@t682 @t1078)) % 0.97/1.15 (step @p1548 :rule cong :premises (@p1547) :args ((forall @t684 (=> @t682 @t1078)))) % 0.97/1.15 (step @p1549 :rule trans :premises (@p1548 @p1546)) % 0.97/1.15 (step @p1550 :rule refl :args (@t682)) % 0.97/1.15 (step @p1551 :rule cong :premises (@p1550 @p959) :args (@t1883)) % 0.97/1.15 (step @p1552 :rule cong :premises (@p1551) :args (@t1884)) % 0.97/1.15 (step @p1553 :rule trans :premises (@p1552 @p1549)) % 0.97/1.15 (step @p1554 :rule refl :args (tptp.cartprodmempair)) % 0.97/1.15 (step @p1555 :rule cong :premises (@p1554 @p1553) :args ((= tptp.cartprodmempair @t1884))) % 0.97/1.15 (step @p1556 :rule cong :premises (@p1550 @p1039) :args (@t688)) % 0.97/1.15 (step @p1557 :rule cong :premises (@p1556) :args (@t689)) % 0.97/1.15 (step @p1558 :rule cong :premises (@p1554 @p1557) :args (@t690)) % 0.97/1.15 (step @p1559 :rule trans :premises (@p1558 @p1555)) % 0.97/1.15 (step @p1560 :rule eq_resolve :premises (@p149 @p1559)) % 0.97/1.15 (step @p1561 :rule cong :premises (@p1560 @p1543) :args (@t1885)) % 0.97/1.15 (step @p1562 :rule refl :args (@t1084)) % 0.97/1.15 (step @p1563 :rule nary_cong :premises (@p712 @p1562) :args (@t1886)) % 0.97/1.15 (step @p1564 :rule cong :premises (@p1563) :args ((forall @t684 @t1886))) % 0.97/1.15 (step @p1565 :rule bool-impl-elim :args (@t682 @t1084)) % 0.97/1.15 (step @p1566 :rule cong :premises (@p1565) :args ((forall @t684 (=> @t682 @t1084)))) % 0.97/1.15 (step @p1567 :rule trans :premises (@p1566 @p1564)) % 0.97/1.15 (step @p1568 :rule aci_norm :args ((= @t1888 @t1082))) % 0.97/1.15 (step @p1569 :rule cong :premises (@p1568) :args (@t1889)) % 0.97/1.15 (step @p1570 :rule quant-merge-prenex :args ((= (forall @t9 @t1891) @t1889))) % 0.97/1.15 (step @p1571 :rule alpha_equiv :args (@t1892 (@list @t1079) @t1704)) % 0.97/1.15 (step @p1572 :rule nary_cong :premises (@p1173 @p1571) :args (@t1893)) % 0.97/1.15 (step @p1573 :rule quant-miniscope-or :args ((= @t1891 @t1893))) % 0.97/1.15 (step @p1574 :rule trans :premises (@p1573 @p1572)) % 0.97/1.15 (step @p1575 :rule symm :premises (@p1574)) % 0.97/1.15 (step @p1576 :rule cong :premises (@p1575) :args ((forall @t9 (or @t1035 @t1896)))) % 0.97/1.15 (step @p1577 :rule trans :premises (@p1576 @p1570)) % 0.97/1.15 (step @p1578 :rule trans :premises (@p1577 @p1569)) % 0.97/1.15 (step @p1579 :rule refl :args (@t1896)) % 0.97/1.15 (step @p1580 :rule nary_cong :premises (@p839 @p1579) :args (@t1897)) % 0.97/1.15 (step @p1581 :rule cong :premises (@p1580) :args ((forall @t9 @t1897))) % 0.97/1.15 (step @p1582 :rule trans :premises (@p1581 @p1578)) % 0.97/1.15 (step @p1583 :rule bool-double-not-elim :args (@t1896)) % 0.97/1.15 (step @p1584 :rule nary_cong :premises (@p1313 @p1583) :args ((or @t197 (not @t1898)))) % 0.97/1.15 (step @p1585 :rule bool-and-de-morgan :args (@t7 @t1898 true)) % 0.97/1.15 (step @p1586 :rule trans :premises (@p1585 @p1584)) % 0.97/1.15 (step @p1587 :rule cong :premises (@p1586) :args (@t1900)) % 0.97/1.15 (step @p1588 :rule trans :premises (@p1587 @p1582)) % 0.97/1.15 (step @p1589 :rule cong :premises (@p1588) :args (@t1901)) % 0.97/1.15 (step @p1590 :rule exists-elim :args ((= (exists @t9 @t1899) @t1901))) % 0.97/1.15 (step @p1591 :rule trans :premises (@p1590 @p1589)) % 0.97/1.15 (step @p1592 :rule cong :premises (@p697 @p546) :args (@t1902)) % 0.97/1.15 (step @p1593 :rule cong :premises (@p1592) :args (@t1903)) % 0.97/1.15 (step @p1594 :rule refl :args (@t1894)) % 0.97/1.15 (step @p1595 :rule refl :args (@t352)) % 0.97/1.15 (step @p1596 :rule cong :premises (@p1595 @p1594) :args ((= @t352 @t1894))) % 0.97/1.15 (step @p1597 :rule symm :premises (@p1596)) % 0.97/1.15 (step @p1598 :rule eq_resolve :premises (@p1595 @p1597)) % 0.97/1.15 (step @p1599 :rule cong :premises (@p1598) :args (@t1904)) % 0.97/1.15 (step @p1600 :rule nary_cong :premises (@p1599 @p1593) :args (@t1905)) % 0.97/1.15 (step @p1601 :rule cong :premises (@p1600) :args ((forall @t70 @t1905))) % 0.97/1.15 (step @p1602 :rule bool-and-de-morgan :args (@t352 @t1902 true)) % 0.97/1.15 (step @p1603 :rule cong :premises (@p1602) :args (@t1907)) % 0.97/1.15 (step @p1604 :rule trans :premises (@p1603 @p1601)) % 0.97/1.15 (step @p1605 :rule cong :premises (@p1604) :args (@t1908)) % 0.97/1.15 (step @p1606 :rule exists-elim :args ((= (exists @t70 @t1906) @t1908))) % 0.97/1.15 (step @p1607 :rule trans :premises (@p1606 @p1605)) % 0.97/1.15 (step @p1608 :rule cong :premises (@p644 @p652) :args (@t1909)) % 0.97/1.15 (step @p1609 :rule refl :args (@t352)) % 0.97/1.15 (step @p1610 :rule nary_cong :premises (@p1609 @p1608) :args (@t1910)) % 0.97/1.15 (step @p1611 :rule cong :premises (@p1610) :args (@t1911)) % 0.97/1.15 (step @p1612 :rule trans :premises (@p1611 @p1607)) % 0.97/1.15 (step @p1613 :rule nary_cong :premises (@p1226 @p1612) :args (@t1912)) % 0.97/1.15 (step @p1614 :rule cong :premises (@p1613) :args (@t1913)) % 0.97/1.15 (step @p1615 :rule trans :premises (@p1614 @p1591)) % 0.97/1.15 (step @p1616 :rule cong :premises (@p1550 @p1615) :args (@t1914)) % 0.97/1.15 (step @p1617 :rule cong :premises (@p1616) :args (@t1915)) % 0.97/1.15 (step @p1618 :rule trans :premises (@p1617 @p1567)) % 0.97/1.15 (step @p1619 :rule refl :args (tptp.cartprodmempair1)) % 0.97/1.15 (step @p1620 :rule cong :premises (@p1619 @p1618) :args ((= tptp.cartprodmempair1 @t1915))) % 0.97/1.15 (step @p1621 :rule cong :premises (@p644 @p664) :args (@t676)) % 0.97/1.15 (step @p1622 :rule nary_cong :premises (@p1609 @p1621) :args (@t677)) % 0.97/1.15 (step @p1623 :rule cong :premises (@p1622) :args (@t678)) % 0.97/1.15 (step @p1624 :rule nary_cong :premises (@p1226 @p1623) :args (@t679)) % 0.97/1.15 (step @p1625 :rule cong :premises (@p1624) :args (@t680)) % 0.97/1.15 (step @p1626 :rule cong :premises (@p1550 @p1625) :args (@t683)) % 0.97/1.15 (step @p1627 :rule cong :premises (@p1626) :args (@t685)) % 0.97/1.15 (step @p1628 :rule cong :premises (@p1619 @p1627) :args (@t686)) % 0.97/1.15 (step @p1629 :rule trans :premises (@p1628 @p1620)) % 0.97/1.15 (step @p1630 :rule eq_resolve :premises (@p148 @p1629)) % 0.97/1.15 (step @p1631 :rule cong :premises (@p1630 @p1561) :args (@t1916)) % 0.97/1.15 (step @p1632 :rule aci_norm :args ((= @t1918 @t1088))) % 0.97/1.15 (step @p1633 :rule cong :premises (@p1632) :args (@t1919)) % 0.97/1.15 (step @p1634 :rule quant-merge-prenex :args ((= (forall @t245 @t1921) @t1919))) % 0.97/1.15 (step @p1635 :rule alpha_equiv :args (@t1922 (@list @t1085) @t1704)) % 0.97/1.15 (step @p1636 :rule nary_cong :premises (@p1173 @p1635) :args (@t1923)) % 0.97/1.15 (step @p1637 :rule quant-miniscope-or :args ((= @t1921 @t1923))) % 0.97/1.15 (step @p1638 :rule trans :premises (@p1637 @p1636)) % 0.97/1.15 (step @p1639 :rule symm :premises (@p1638)) % 0.97/1.15 (step @p1640 :rule cong :premises (@p1639) :args ((forall @t245 (or @t1035 @t1925)))) % 0.97/1.15 (step @p1641 :rule trans :premises (@p1640 @p1634)) % 0.97/1.15 (step @p1642 :rule trans :premises (@p1641 @p1633)) % 0.97/1.15 (step @p1643 :rule refl :args (@t1925)) % 0.97/1.15 (step @p1644 :rule nary_cong :premises (@p839 @p1643) :args (@t1926)) % 0.97/1.15 (step @p1645 :rule cong :premises (@p1644) :args ((forall @t245 @t1926))) % 0.97/1.15 (step @p1646 :rule trans :premises (@p1645 @p1642)) % 0.97/1.15 (step @p1647 :rule bool-impl-elim :args (@t7 @t1925)) % 0.97/1.15 (step @p1648 :rule cong :premises (@p1647) :args ((forall @t245 (=> @t7 @t1925)))) % 0.97/1.15 (step @p1649 :rule trans :premises (@p1648 @p1646)) % 0.97/1.15 (step @p1650 :rule refl :args ((tptp.in @t618 @t670))) % 0.97/1.15 (step @p1651 :rule cong :premises (@p512 @p696) :args (@t1924)) % 0.97/1.15 (step @p1652 :rule trans :premises (@p1651 @p1650)) % 0.97/1.15 (step @p1653 :rule ho_cong :premises (@p681 @p512)) % 0.97/1.15 (step @p1654 :rule ho_cong :premises (@p1653 @p696)) % 0.97/1.15 (step @p1655 :rule cong :premises (@p1654 @p1652) :args ((= (_ @t1927 @t996) @t1924))) % 0.97/1.15 (step @p1656 :rule symm :premises (@p1655)) % 0.97/1.15 (step @p1657 :rule refl :args (@t1928)) % 0.97/1.15 (step @p1658 :rule eq_resolve :premises (@p1657 @p1656)) % 0.97/1.15 (step @p1659 :rule ho_cong :premises (@p681 @p546)) % 0.97/1.15 (step @p1660 :rule ho_cong :premises (@p1659 @p709)) % 0.97/1.15 (step @p1661 :rule trans :premises (@p1660 @p1658)) % 0.97/1.15 (step @p1662 :rule nary_cong :premises (@p1599 @p1661) :args (@t1929)) % 0.97/1.15 (step @p1663 :rule cong :premises (@p1662) :args ((forall @t70 @t1929))) % 0.97/1.15 (step @p1664 :rule bool-impl-elim :args (@t352 @t1928)) % 0.97/1.15 (step @p1665 :rule cong :premises (@p1664) :args ((forall @t70 (=> @t352 @t1928)))) % 0.97/1.15 (step @p1666 :rule trans :premises (@p1665 @p1663)) % 0.97/1.15 (step @p1667 :rule refl :args (@t670)) % 0.97/1.15 (step @p1668 :rule refl :args (tptp.in)) % 0.97/1.15 (step @p1669 :rule ho_cong :premises (@p1668 @p652)) % 0.97/1.15 (step @p1670 :rule ho_cong :premises (@p1669 @p1667)) % 0.97/1.15 (step @p1671 :rule cong :premises (@p1609 @p1670) :args (@t1931)) % 0.97/1.15 (step @p1672 :rule cong :premises (@p1671) :args (@t1932)) % 0.97/1.15 (step @p1673 :rule trans :premises (@p1672 @p1666)) % 0.97/1.15 (step @p1674 :rule cong :premises (@p1226 @p1673) :args (@t1933)) % 0.97/1.15 (step @p1675 :rule cong :premises (@p1674) :args (@t1934)) % 0.97/1.15 (step @p1676 :rule trans :premises (@p1675 @p1649)) % 0.97/1.15 (step @p1677 :rule refl :args (tptp.cartprodpairin)) % 0.97/1.15 (step @p1678 :rule cong :premises (@p1677 @p1676) :args ((= tptp.cartprodpairin @t1934))) % 0.97/1.15 (step @p1679 :rule ho_cong :premises (@p1668 @p664)) % 0.97/1.15 (step @p1680 :rule ho_cong :premises (@p1679 @p1667)) % 0.97/1.15 (step @p1681 :rule cong :premises (@p1609 @p1680) :args (@t671)) % 0.97/1.15 (step @p1682 :rule cong :premises (@p1681) :args (@t672)) % 0.97/1.15 (step @p1683 :rule cong :premises (@p1226 @p1682) :args (@t673)) % 0.97/1.15 (step @p1684 :rule cong :premises (@p1683) :args (@t674)) % 0.97/1.15 (step @p1685 :rule cong :premises (@p1677 @p1684) :args (@t675)) % 0.97/1.15 (step @p1686 :rule trans :premises (@p1685 @p1678)) % 0.97/1.15 (step @p1687 :rule eq_resolve :premises (@p147 @p1686)) % 0.97/1.15 (step @p1688 :rule cong :premises (@p1687 @p1631) :args (@t1935)) % 0.97/1.15 (step @p1689 :rule aci_norm :args ((= @t1937 @t1096))) % 0.97/1.15 (step @p1690 :rule cong :premises (@p1689) :args (@t1938)) % 0.97/1.15 (step @p1691 :rule quant-merge-prenex :args ((= (forall @t245 @t1940) @t1938))) % 0.97/1.15 (step @p1692 :rule alpha_equiv :args (@t1941 (@list @t1093) @t1704)) % 0.97/1.15 (step @p1693 :rule nary_cong :premises (@p1173 @p1692) :args (@t1942)) % 0.97/1.15 (step @p1694 :rule quant-miniscope-or :args ((= @t1940 @t1942))) % 0.97/1.15 (step @p1695 :rule trans :premises (@p1694 @p1693)) % 0.97/1.15 (step @p1696 :rule symm :premises (@p1695)) % 0.97/1.15 (step @p1697 :rule cong :premises (@p1696) :args ((forall @t245 (or @t1035 @t1944)))) % 0.97/1.15 (step @p1698 :rule trans :premises (@p1697 @p1691)) % 0.97/1.15 (step @p1699 :rule trans :premises (@p1698 @p1690)) % 0.97/1.15 (step @p1700 :rule refl :args (@t1944)) % 0.97/1.15 (step @p1701 :rule nary_cong :premises (@p839 @p1700) :args (@t1945)) % 0.97/1.15 (step @p1702 :rule cong :premises (@p1701) :args ((forall @t245 @t1945))) % 0.97/1.15 (step @p1703 :rule trans :premises (@p1702 @p1699)) % 0.97/1.15 (step @p1704 :rule bool-impl-elim :args (@t7 @t1944)) % 0.97/1.15 (step @p1705 :rule cong :premises (@p1704) :args ((forall @t245 (=> @t7 @t1944)))) % 0.97/1.15 (step @p1706 :rule trans :premises (@p1705 @p1703)) % 0.97/1.15 (step @p1707 :rule refl :args ((tptp.in @t618 @t657))) % 0.97/1.15 (step @p1708 :rule refl :args ((tptp.powerset @t638))) % 0.97/1.15 (step @p1709 :rule refl :args ((tptp.powerset @t492))) % 0.97/1.15 (step @p1710 :rule refl :args (@t1090)) % 0.97/1.15 (step @p1711 :rule cong :premises (@p1710) :args (@t1091)) % 0.97/1.15 (step @p1712 :rule trans :premises (@p1711 @p1709)) % 0.97/1.15 (step @p1713 :rule cong :premises (@p1712) :args (@t1092)) % 0.97/1.15 (step @p1714 :rule trans :premises (@p1713 @p1708)) % 0.97/1.15 (step @p1715 :rule cong :premises (@p512 @p1714) :args (@t1943)) % 0.97/1.15 (step @p1716 :rule trans :premises (@p1715 @p1707)) % 0.97/1.15 (step @p1717 :rule ho_cong :premises (@p1653 @p1714)) % 0.97/1.15 (step @p1718 :rule cong :premises (@p1717 @p1716) :args ((= (_ @t1927 @t1092) @t1943))) % 0.97/1.15 (step @p1719 :rule symm :premises (@p1718)) % 0.97/1.15 (step @p1720 :rule refl :args (@t659)) % 0.97/1.15 (step @p1721 :rule eq_resolve :premises (@p1720 @p1719)) % 0.97/1.15 (step @p1722 :rule refl :args (tptp.powerset)) % 0.97/1.15 (step @p1723 :rule ho_cong :premises (@p1722 @p1712)) % 0.97/1.15 (step @p1724 :rule cong :premises (@p1723 @p1714) :args ((= (_ tptp.powerset @t1091) @t1092))) % 0.97/1.15 (step @p1725 :rule symm :premises (@p1724)) % 0.97/1.15 (step @p1726 :rule refl :args (@t657)) % 0.97/1.15 (step @p1727 :rule eq_resolve :premises (@p1726 @p1725)) % 0.97/1.15 (step @p1728 :rule ho_cong :premises (@p1722 @p1710)) % 0.97/1.15 (step @p1729 :rule cong :premises (@p1728 @p1712) :args ((= (_ tptp.powerset @t1090) @t1091))) % 0.97/1.15 (step @p1730 :rule symm :premises (@p1729)) % 0.97/1.15 (step @p1731 :rule refl :args (@t638)) % 0.97/1.15 (step @p1732 :rule eq_resolve :premises (@p1731 @p1730)) % 0.97/1.15 (step @p1733 :rule refl :args (@t492)) % 0.97/1.15 (step @p1734 :rule cong :premises (@p1733 @p1710) :args ((= @t492 @t1090))) % 0.97/1.15 (step @p1735 :rule symm :premises (@p1734)) % 0.97/1.15 (step @p1736 :rule eq_resolve :premises (@p1733 @p1735)) % 0.97/1.15 (step @p1737 :rule ho_cong :premises (@p1722 @p1736)) % 0.97/1.15 (step @p1738 :rule trans :premises (@p1737 @p1732)) % 0.97/1.15 (step @p1739 :rule ho_cong :premises (@p1722 @p1738)) % 0.97/1.15 (step @p1740 :rule trans :premises (@p1739 @p1727)) % 0.97/1.15 (step @p1741 :rule ho_cong :premises (@p1659 @p1740)) % 0.97/1.15 (step @p1742 :rule trans :premises (@p1741 @p1721)) % 0.97/1.15 (step @p1743 :rule nary_cong :premises (@p1599 @p1742) :args (@t1946)) % 0.97/1.15 (step @p1744 :rule cong :premises (@p1743) :args ((forall @t70 @t1946))) % 0.97/1.15 (step @p1745 :rule bool-impl-elim :args (@t352 @t659)) % 0.97/1.15 (step @p1746 :rule cong :premises (@p1745) :args (@t660)) % 0.97/1.15 (step @p1747 :rule trans :premises (@p1746 @p1744)) % 0.97/1.15 (step @p1748 :rule refl :args (@t657)) % 0.97/1.15 (step @p1749 :rule ho_cong :premises (@p1669 @p1748)) % 0.97/1.15 (step @p1750 :rule cong :premises (@p1609 @p1749) :args (@t1947)) % 0.97/1.15 (step @p1751 :rule cong :premises (@p1750) :args (@t1948)) % 0.97/1.15 (step @p1752 :rule trans :premises (@p1751 @p1747)) % 0.97/1.15 (step @p1753 :rule cong :premises (@p1226 @p1752) :args (@t1949)) % 0.97/1.15 (step @p1754 :rule cong :premises (@p1753) :args (@t1950)) % 0.97/1.15 (step @p1755 :rule trans :premises (@p1754 @p1706)) % 0.97/1.15 (step @p1756 :rule refl :args (tptp.ubforcartprodlem3)) % 0.97/1.15 (step @p1757 :rule cong :premises (@p1756 @p1755) :args ((= tptp.ubforcartprodlem3 @t1950))) % 0.97/1.15 (step @p1758 :rule ho_cong :premises (@p1679 @p1748)) % 0.97/1.15 (step @p1759 :rule cong :premises (@p1609 @p1758) :args (@t665)) % 0.97/1.15 (step @p1760 :rule cong :premises (@p1759) :args (@t666)) % 0.97/1.15 (step @p1761 :rule cong :premises (@p1226 @p1760) :args (@t667)) % 0.97/1.15 (step @p1762 :rule cong :premises (@p1761) :args (@t668)) % 0.97/1.15 (step @p1763 :rule cong :premises (@p1756 @p1762) :args (@t669)) % 0.97/1.15 (step @p1764 :rule trans :premises (@p1763 @p1757)) % 0.97/1.15 (step @p1765 :rule eq_resolve :premises (@p146 @p1764)) % 0.97/1.15 (step @p1766 :rule cong :premises (@p1765 @p1688) :args (@t1951)) % 0.97/1.15 (step @p1767 :rule cong :premises (@p1226 @p1747) :args (@t661)) % 0.97/1.15 (step @p1768 :rule cong :premises (@p1767) :args (@t662)) % 0.97/1.15 (step @p1769 :rule trans :premises (@p1768 @p1706)) % 0.97/1.15 (step @p1770 :rule refl :args (tptp.ubforcartprodlem2)) % 0.97/1.15 (step @p1771 :rule cong :premises (@p1770 @p1769) :args (@t663)) % 0.97/1.15 (step @p1772 :rule eq_resolve :premises (@p145 @p1771)) % 0.97/1.15 (step @p1773 :rule cong :premises (@p1772 @p1766) :args (@t1952)) % 0.97/1.15 (step @p1774 :rule aci_norm :args ((= @t1954 @t1102))) % 0.97/1.15 (step @p1775 :rule cong :premises (@p1774) :args (@t1955)) % 0.97/1.15 (step @p1776 :rule quant-merge-prenex :args ((= (forall @t245 @t1957) @t1955))) % 0.97/1.15 (step @p1777 :rule alpha_equiv :args (@t1958 (@list @t1099) @t1704)) % 0.97/1.15 (step @p1778 :rule nary_cong :premises (@p1173 @p1777) :args (@t1959)) % 0.97/1.15 (step @p1779 :rule quant-miniscope-or :args ((= @t1957 @t1959))) % 0.97/1.15 (step @p1780 :rule trans :premises (@p1779 @p1778)) % 0.97/1.15 (step @p1781 :rule symm :premises (@p1780)) % 0.97/1.15 (step @p1782 :rule cong :premises (@p1781) :args ((forall @t245 (or @t1035 @t1961)))) % 0.97/1.15 (step @p1783 :rule trans :premises (@p1782 @p1776)) % 0.97/1.15 (step @p1784 :rule trans :premises (@p1783 @p1775)) % 0.97/1.15 (step @p1785 :rule refl :args (@t1961)) % 0.97/1.15 (step @p1786 :rule nary_cong :premises (@p839 @p1785) :args (@t1962)) % 0.97/1.15 (step @p1787 :rule cong :premises (@p1786) :args ((forall @t245 @t1962))) % 0.97/1.15 (step @p1788 :rule trans :premises (@p1787 @p1784)) % 0.97/1.15 (step @p1789 :rule bool-impl-elim :args (@t7 @t1961)) % 0.97/1.15 (step @p1790 :rule cong :premises (@p1789) :args ((forall @t245 (=> @t7 @t1961)))) % 0.97/1.15 (step @p1791 :rule trans :premises (@p1790 @p1788)) % 0.97/1.15 (step @p1792 :rule refl :args ((tptp.subset @t618 @t638))) % 0.97/1.15 (step @p1793 :rule cong :premises (@p512 @p1712) :args (@t1960)) % 0.97/1.15 (step @p1794 :rule trans :premises (@p1793 @p1792)) % 0.97/1.15 (step @p1795 :rule ho_cong :premises (@p1496 @p512)) % 0.97/1.15 (step @p1796 :rule ho_cong :premises (@p1795 @p1712)) % 0.97/1.15 (step @p1797 :rule cong :premises (@p1796 @p1794) :args ((= (_ (_ tptp.subset @t982) @t1091) @t1960))) % 0.97/1.15 (step @p1798 :rule symm :premises (@p1797)) % 0.97/1.15 (step @p1799 :rule refl :args (@t652)) % 0.97/1.15 (step @p1800 :rule eq_resolve :premises (@p1799 @p1798)) % 0.97/1.15 (step @p1801 :rule ho_cong :premises (@p1496 @p546)) % 0.97/1.15 (step @p1802 :rule ho_cong :premises (@p1801 @p1738)) % 0.97/1.15 (step @p1803 :rule trans :premises (@p1802 @p1800)) % 0.97/1.15 (step @p1804 :rule nary_cong :premises (@p1599 @p1803) :args (@t1963)) % 0.97/1.15 (step @p1805 :rule cong :premises (@p1804) :args ((forall @t70 @t1963))) % 0.97/1.15 (step @p1806 :rule bool-impl-elim :args (@t352 @t652)) % 0.97/1.15 (step @p1807 :rule cong :premises (@p1806) :args (@t653)) % 0.97/1.15 (step @p1808 :rule trans :premises (@p1807 @p1805)) % 0.97/1.15 (step @p1809 :rule cong :premises (@p1226 @p1808) :args (@t654)) % 0.97/1.15 (step @p1810 :rule cong :premises (@p1809) :args (@t655)) % 0.97/1.15 (step @p1811 :rule trans :premises (@p1810 @p1791)) % 0.97/1.15 (step @p1812 :rule refl :args (tptp.ubforcartprodlem1)) % 0.97/1.15 (step @p1813 :rule cong :premises (@p1812 @p1811) :args (@t656)) % 0.97/1.15 (step @p1814 :rule eq_resolve :premises (@p144 @p1813)) % 0.97/1.15 (step @p1815 :rule cong :premises (@p1814 @p1773) :args (@t1964)) % 0.97/1.15 (step @p1816 :rule aci_norm :args ((= @t1966 @t1107))) % 0.97/1.15 (step @p1817 :rule cong :premises (@p1816) :args (@t1967)) % 0.97/1.15 (step @p1818 :rule quant-merge-prenex :args ((= (forall @t245 @t1969) @t1967))) % 0.97/1.15 (step @p1819 :rule alpha_equiv :args (@t1970 (@list @t1104) @t1704)) % 0.97/1.15 (step @p1820 :rule nary_cong :premises (@p1173 @p1819) :args (@t1971)) % 0.97/1.15 (step @p1821 :rule quant-miniscope-or :args ((= @t1969 @t1971))) % 0.97/1.15 (step @p1822 :rule trans :premises (@p1821 @p1820)) % 0.97/1.15 (step @p1823 :rule symm :premises (@p1822)) % 0.97/1.15 (step @p1824 :rule cong :premises (@p1823) :args ((forall @t245 (or @t1035 @t1973)))) % 0.97/1.15 (step @p1825 :rule trans :premises (@p1824 @p1818)) % 0.97/1.15 (step @p1826 :rule trans :premises (@p1825 @p1817)) % 0.97/1.15 (step @p1827 :rule refl :args (@t1973)) % 0.97/1.15 (step @p1828 :rule nary_cong :premises (@p839 @p1827) :args (@t1974)) % 0.97/1.15 (step @p1829 :rule cong :premises (@p1828) :args ((forall @t245 @t1974))) % 0.97/1.15 (step @p1830 :rule trans :premises (@p1829 @p1826)) % 0.97/1.15 (step @p1831 :rule bool-impl-elim :args (@t7 @t1973)) % 0.97/1.15 (step @p1832 :rule cong :premises (@p1831) :args ((forall @t245 (=> @t7 @t1973)))) % 0.97/1.15 (step @p1833 :rule trans :premises (@p1832 @p1830)) % 0.97/1.15 (step @p1834 :rule refl :args ((tptp.in @t291 @t638))) % 0.97/1.15 (step @p1835 :rule cong :premises (@p507 @p1712) :args (@t1972)) % 0.97/1.15 (step @p1836 :rule trans :premises (@p1835 @p1834)) % 0.97/1.15 (step @p1837 :rule ho_cong :premises (@p681 @p507)) % 0.97/1.15 (step @p1838 :rule ho_cong :premises (@p1837 @p1712)) % 0.97/1.15 (step @p1839 :rule cong :premises (@p1838 @p1836) :args ((= (_ (_ tptp.in @t977) @t1091) @t1972))) % 0.97/1.15 (step @p1840 :rule symm :premises (@p1839)) % 0.97/1.15 (step @p1841 :rule refl :args (@t647)) % 0.97/1.15 (step @p1842 :rule eq_resolve :premises (@p1841 @p1840)) % 0.97/1.15 (step @p1843 :rule ho_cong :premises (@p681 @p536)) % 0.97/1.15 (step @p1844 :rule ho_cong :premises (@p1843 @p1738)) % 0.97/1.15 (step @p1845 :rule trans :premises (@p1844 @p1842)) % 0.97/1.15 (step @p1846 :rule nary_cong :premises (@p1599 @p1845) :args (@t1975)) % 0.97/1.15 (step @p1847 :rule cong :premises (@p1846) :args ((forall @t70 @t1975))) % 0.97/1.15 (step @p1848 :rule bool-impl-elim :args (@t352 @t647)) % 0.97/1.15 (step @p1849 :rule cong :premises (@p1848) :args (@t648)) % 0.97/1.15 (step @p1850 :rule trans :premises (@p1849 @p1847)) % 0.97/1.15 (step @p1851 :rule cong :premises (@p1226 @p1850) :args (@t649)) % 0.97/1.15 (step @p1852 :rule cong :premises (@p1851) :args (@t650)) % 0.97/1.15 (step @p1853 :rule trans :premises (@p1852 @p1833)) % 0.97/1.15 (step @p1854 :rule refl :args (tptp.upairinpowunion)) % 0.97/1.15 (step @p1855 :rule cong :premises (@p1854 @p1853) :args (@t651)) % 0.97/1.15 (step @p1856 :rule eq_resolve :premises (@p143 @p1855)) % 0.97/1.15 (step @p1857 :rule cong :premises (@p1856 @p1815) :args (@t1976)) % 0.97/1.15 (step @p1858 :rule aci_norm :args ((= @t1978 @t1112))) % 0.97/1.15 (step @p1859 :rule cong :premises (@p1858) :args (@t1979)) % 0.97/1.15 (step @p1860 :rule quant-merge-prenex :args ((= (forall @t245 @t1981) @t1979))) % 0.97/1.15 (step @p1861 :rule alpha_equiv :args (@t1982 (@list @t1109) @t1704)) % 0.97/1.15 (step @p1862 :rule nary_cong :premises (@p1173 @p1861) :args (@t1983)) % 0.97/1.15 (step @p1863 :rule quant-miniscope-or :args ((= @t1981 @t1983))) % 0.97/1.15 (step @p1864 :rule trans :premises (@p1863 @p1862)) % 0.97/1.15 (step @p1865 :rule symm :premises (@p1864)) % 0.97/1.15 (step @p1866 :rule cong :premises (@p1865) :args ((forall @t245 (or @t1035 @t1985)))) % 0.97/1.15 (step @p1867 :rule trans :premises (@p1866 @p1860)) % 0.97/1.15 (step @p1868 :rule trans :premises (@p1867 @p1859)) % 0.97/1.15 (step @p1869 :rule refl :args (@t1985)) % 0.97/1.15 (step @p1870 :rule nary_cong :premises (@p839 @p1869) :args (@t1986)) % 0.97/1.15 (step @p1871 :rule cong :premises (@p1870) :args ((forall @t245 @t1986))) % 0.97/1.15 (step @p1872 :rule trans :premises (@p1871 @p1868)) % 0.97/1.15 (step @p1873 :rule bool-impl-elim :args (@t7 @t1985)) % 0.97/1.15 (step @p1874 :rule cong :premises (@p1873) :args ((forall @t245 (=> @t7 @t1985)))) % 0.97/1.15 (step @p1875 :rule trans :premises (@p1874 @p1872)) % 0.97/1.15 (step @p1876 :rule refl :args ((tptp.subset @t291 @t492))) % 0.97/1.15 (step @p1877 :rule cong :premises (@p507 @p1710) :args (@t1984)) % 0.97/1.15 (step @p1878 :rule trans :premises (@p1877 @p1876)) % 0.97/1.15 (step @p1879 :rule ho_cong :premises (@p1496 @p507)) % 0.97/1.15 (step @p1880 :rule ho_cong :premises (@p1879 @p1710)) % 0.97/1.15 (step @p1881 :rule cong :premises (@p1880 @p1878) :args ((= (_ (_ tptp.subset @t977) @t1090) @t1984))) % 0.97/1.15 (step @p1882 :rule symm :premises (@p1881)) % 0.97/1.15 (step @p1883 :rule refl :args (@t642)) % 0.97/1.15 (step @p1884 :rule eq_resolve :premises (@p1883 @p1882)) % 0.97/1.15 (step @p1885 :rule ho_cong :premises (@p1496 @p536)) % 0.97/1.15 (step @p1886 :rule ho_cong :premises (@p1885 @p1736)) % 0.97/1.15 (step @p1887 :rule trans :premises (@p1886 @p1884)) % 0.97/1.15 (step @p1888 :rule nary_cong :premises (@p1599 @p1887) :args (@t1987)) % 0.97/1.15 (step @p1889 :rule cong :premises (@p1888) :args ((forall @t70 @t1987))) % 0.97/1.15 (step @p1890 :rule bool-impl-elim :args (@t352 @t642)) % 0.97/1.15 (step @p1891 :rule cong :premises (@p1890) :args (@t643)) % 0.97/1.15 (step @p1892 :rule trans :premises (@p1891 @p1889)) % 0.97/1.15 (step @p1893 :rule cong :premises (@p1226 @p1892) :args (@t644)) % 0.97/1.15 (step @p1894 :rule cong :premises (@p1893) :args (@t645)) % 0.97/1.15 (step @p1895 :rule trans :premises (@p1894 @p1875)) % 0.97/1.15 (step @p1896 :rule refl :args (tptp.upairsubunion)) % 0.97/1.15 (step @p1897 :rule cong :premises (@p1896 @p1895) :args (@t646)) % 0.97/1.15 (step @p1898 :rule eq_resolve :premises (@p142 @p1897)) % 0.97/1.15 (step @p1899 :rule cong :premises (@p1898 @p1857) :args (@t1988)) % 0.97/1.15 (step @p1900 :rule eq-symm :args (@t1116 tptp.upairset2E)) % 0.97/1.15 (step @p1901 :rule refl :args (tptp.upairset2E)) % 0.97/1.15 (step @p1902 :rule refl :args (@t1114)) % 0.97/1.15 (step @p1903 :rule refl :args ((tptp.in @t289 @t291))) % 0.97/1.15 (step @p1904 :rule cong :premises (@p458 @p507) :args (@t1115)) % 0.97/1.15 (step @p1905 :rule trans :premises (@p1904 @p1903)) % 0.97/1.15 (step @p1906 :rule refl :args (@t292)) % 0.97/1.15 (step @p1907 :rule ho_cong :premises (@p1906 @p507)) % 0.97/1.15 (step @p1908 :rule cong :premises (@p1907 @p1905) :args ((= (_ @t292 @t977) @t1115))) % 0.97/1.15 (step @p1909 :rule symm :premises (@p1908)) % 0.97/1.15 (step @p1910 :rule refl :args (@t293)) % 0.97/1.15 (step @p1911 :rule eq_resolve :premises (@p1910 @p1909)) % 0.97/1.15 (step @p1912 :rule ho_cong :premises (@p1906 @p536)) % 0.97/1.15 (step @p1913 :rule trans :premises (@p1912 @p1911)) % 0.97/1.15 (step @p1914 :rule cong :premises (@p1913) :args (@t1989)) % 0.97/1.15 (step @p1915 :rule nary_cong :premises (@p1914 @p636 @p1902) :args (@t1990)) % 0.97/1.15 (step @p1916 :rule cong :premises (@p1915) :args ((forall @t295 @t1990))) % 0.97/1.15 (step @p1917 :rule aci_norm :args ((= (or @t1989 @t1991) @t1990))) % 0.97/1.15 (step @p1918 :rule bool-impl-elim :args (@t293 @t1991)) % 0.97/1.15 (step @p1919 :rule trans :premises (@p1918 @p1917)) % 0.97/1.15 (step @p1920 :rule cong :premises (@p1919) :args ((forall @t295 (=> @t293 @t1991)))) % 0.97/1.15 (step @p1921 :rule trans :premises (@p1920 @p1916)) % 0.97/1.15 (step @p1922 :rule eq-symm :args (@t289 @t19)) % 0.97/1.15 (step @p1923 :rule eq-symm :args (@t289 @t4)) % 0.97/1.15 (step @p1924 :rule nary_cong :premises (@p1923 @p1922) :args (@t290)) % 0.97/1.15 (step @p1925 :rule refl :args (@t293)) % 0.97/1.15 (step @p1926 :rule cong :premises (@p1925 @p1924) :args (@t294)) % 0.97/1.15 (step @p1927 :rule cong :premises (@p1926) :args (@t296)) % 0.97/1.15 (step @p1928 :rule trans :premises (@p1927 @p1921)) % 0.97/1.15 (step @p1929 :rule cong :premises (@p1928 @p1901) :args ((= @t296 tptp.upairset2E))) % 0.97/1.15 (step @p1930 :rule trans :premises (@p1929 @p1900)) % 0.97/1.15 (step @p1931 :rule eq-symm :args (tptp.upairset2E @t296)) % 0.97/1.15 (step @p1932 :rule trans :premises (@p1931 @p1930)) % 0.97/1.15 (step @p1933 :rule eq_resolve :premises (@p141 @p1932)) % 0.97/1.15 (step @p1934 :rule cong :premises (@p1933 @p1899) :args (@t1992)) % 0.97/1.15 (step @p1935 :rule refl :args ((tptp.in @t279 @t638))) % 0.97/1.15 (step @p1936 :rule cong :premises (@p510 @p1712) :args (@t1117)) % 0.97/1.15 (step @p1937 :rule trans :premises (@p1936 @p1935)) % 0.97/1.15 (step @p1938 :rule ho_cong :premises (@p681 @p510)) % 0.97/1.15 (step @p1939 :rule ho_cong :premises (@p1938 @p1712)) % 0.97/1.15 (step @p1940 :rule cong :premises (@p1939 @p1937) :args ((= (_ @t1993 @t1091) @t1117))) % 0.97/1.15 (step @p1941 :rule symm :premises (@p1940)) % 0.97/1.15 (step @p1942 :rule refl :args (@t639)) % 0.97/1.15 (step @p1943 :rule eq_resolve :premises (@p1942 @p1941)) % 0.97/1.15 (step @p1944 :rule ho_cong :premises (@p681 @p543)) % 0.97/1.15 (step @p1945 :rule ho_cong :premises (@p1944 @p1738)) % 0.97/1.15 (step @p1946 :rule trans :premises (@p1945 @p1943)) % 0.97/1.15 (step @p1947 :rule nary_cong :premises (@p839 @p1946) :args (@t1994)) % 0.97/1.15 (step @p1948 :rule cong :premises (@p1947) :args ((forall @t245 @t1994))) % 0.97/1.15 (step @p1949 :rule bool-impl-elim :args (@t7 @t639)) % 0.97/1.15 (step @p1950 :rule cong :premises (@p1949) :args (@t640)) % 0.97/1.15 (step @p1951 :rule trans :premises (@p1950 @p1948)) % 0.97/1.15 (step @p1952 :rule refl :args (tptp.singletoninpowunion)) % 0.97/1.15 (step @p1953 :rule cong :premises (@p1952 @p1951) :args (@t641)) % 0.97/1.15 (step @p1954 :rule eq_resolve :premises (@p140 @p1953)) % 0.97/1.15 (step @p1955 :rule cong :premises (@p1954 @p1934) :args (@t1995)) % 0.97/1.15 (step @p1956 :rule refl :args ((tptp.in @t279 @t33))) % 0.97/1.15 (step @p1957 :rule refl :args (@t1118)) % 0.97/1.15 (step @p1958 :rule cong :premises (@p510 @p1957) :args (@t1119)) % 0.97/1.15 (step @p1959 :rule trans :premises (@p1958 @p1956)) % 0.97/1.15 (step @p1960 :rule ho_cong :premises (@p1938 @p1957)) % 0.97/1.15 (step @p1961 :rule cong :premises (@p1960 @p1959) :args ((= (_ @t1993 @t1118) @t1119))) % 0.97/1.15 (step @p1962 :rule symm :premises (@p1961)) % 0.97/1.15 (step @p1963 :rule refl :args (@t635)) % 0.97/1.15 (step @p1964 :rule eq_resolve :premises (@p1963 @p1962)) % 0.97/1.15 (step @p1965 :rule refl :args (@t33)) % 0.97/1.15 (step @p1966 :rule cong :premises (@p1965 @p1957) :args ((= @t33 @t1118))) % 0.97/1.15 (step @p1967 :rule symm :premises (@p1966)) % 0.97/1.15 (step @p1968 :rule eq_resolve :premises (@p1965 @p1967)) % 0.97/1.15 (step @p1969 :rule ho_cong :premises (@p1944 @p1968)) % 0.97/1.15 (step @p1970 :rule trans :premises (@p1969 @p1964)) % 0.97/1.15 (step @p1971 :rule nary_cong :premises (@p839 @p1970) :args (@t1996)) % 0.97/1.15 (step @p1972 :rule cong :premises (@p1971) :args ((forall @t46 @t1996))) % 0.97/1.15 (step @p1973 :rule bool-impl-elim :args (@t7 @t635)) % 0.97/1.15 (step @p1974 :rule cong :premises (@p1973) :args (@t636)) % 0.97/1.15 (step @p1975 :rule trans :premises (@p1974 @p1972)) % 0.97/1.15 (step @p1976 :rule refl :args (tptp.singletoninpowerset)) % 0.97/1.15 (step @p1977 :rule cong :premises (@p1976 @p1975) :args (@t637)) % 0.97/1.15 (step @p1978 :rule eq_resolve :premises (@p139 @p1977)) % 0.97/1.15 (step @p1979 :rule cong :premises (@p1978 @p1955) :args (@t1997)) % 0.97/1.15 (step @p1980 :rule refl :args ((tptp.subset @t279 @t2))) % 0.97/1.15 (step @p1981 :rule cong :premises (@p510 @p677) :args (@t1120)) % 0.97/1.15 (step @p1982 :rule trans :premises (@p1981 @p1980)) % 0.97/1.15 (step @p1983 :rule ho_cong :premises (@p1496 @p510)) % 0.97/1.15 (step @p1984 :rule ho_cong :premises (@p1983 @p677)) % 0.97/1.15 (step @p1985 :rule cong :premises (@p1984 @p1982) :args ((= (_ (_ tptp.subset @t981) @t2) @t1120))) % 0.97/1.15 (step @p1986 :rule symm :premises (@p1985)) % 0.97/1.15 (step @p1987 :rule refl :args (@t631)) % 0.97/1.15 (step @p1988 :rule eq_resolve :premises (@p1987 @p1986)) % 0.97/1.15 (step @p1989 :rule ho_cong :premises (@p1496 @p543)) % 0.97/1.15 (step @p1990 :rule ho_cong :premises (@p1989 @p677)) % 0.97/1.15 (step @p1991 :rule trans :premises (@p1990 @p1988)) % 0.97/1.15 (step @p1992 :rule nary_cong :premises (@p839 @p1991) :args (@t1998)) % 0.97/1.15 (step @p1993 :rule cong :premises (@p1992) :args ((forall @t46 @t1998))) % 0.97/1.15 (step @p1994 :rule bool-impl-elim :args (@t7 @t631)) % 0.97/1.15 (step @p1995 :rule cong :premises (@p1994) :args (@t632)) % 0.97/1.15 (step @p1996 :rule trans :premises (@p1995 @p1993)) % 0.97/1.15 (step @p1997 :rule refl :args (tptp.singletonsubset)) % 0.97/1.15 (step @p1998 :rule cong :premises (@p1997 @p1996) :args (@t633)) % 0.97/1.15 (step @p1999 :rule eq_resolve :premises (@p138 @p1998)) % 0.97/1.15 (step @p2000 :rule cong :premises (@p1999 @p1979) :args (@t1999)) % 0.97/1.15 (step @p2001 :rule refl :args (@t1122)) % 0.97/1.15 (step @p2002 :rule cong :premises (@p546 @p2001) :args (@t2000)) % 0.97/1.15 (step @p2003 :rule cong :premises (@p2002) :args (@t2001)) % 0.97/1.15 (step @p2004 :rule cong :premises (@p546) :args (@t2002)) % 0.97/1.15 (step @p2005 :rule refl :args (@t1072)) % 0.97/1.15 (step @p2006 :rule cong :premises (@p2005 @p2004) :args (@t2003)) % 0.97/1.15 (step @p2007 :rule cong :premises (@p2006) :args (@t2004)) % 0.97/1.15 (step @p2008 :rule refl :args (@t1121)) % 0.97/1.15 (step @p2009 :rule cong :premises (@p2008 @p2004) :args (@t2005)) % 0.97/1.15 (step @p2010 :rule cong :premises (@p2009) :args (@t2006)) % 0.97/1.15 (step @p2011 :rule nary_cong :premises (@p2010 @p2007 @p2003) :args (@t2007)) % 0.97/1.15 (step @p2012 :rule cong :premises (@p2011) :args (@t2008)) % 0.97/1.15 (step @p2013 :rule cong :premises (@p2012) :args (@t2009)) % 0.97/1.15 (step @p2014 :rule beta-reduce :args ((= (_ (lambda @t64 (not (forall @t1124 (or (not (tptp.in @t1121 @t1069)) @t1690 (not (= @t2 @t1122)))))) @t618) @t2009))) % 0.97/1.15 (step @p2015 :rule trans :premises (@p2014 @p2013)) % 0.97/1.15 (step @p2016 :rule alpha_equiv :args (@t1692 @t1631 (@list @t1121))) % 0.97/1.15 (step @p2017 :rule cong :premises (@p2016) :args (@t1693)) % 0.97/1.15 (step @p2018 :rule cong :premises (@p2017) :args (@t1694)) % 0.97/1.15 (step @p2019 :rule ho_cong :premises (@p2018 @p517)) % 0.97/1.15 (step @p2020 :rule trans :premises (@p2019 @p2015)) % 0.97/1.15 (step @p2021 :rule refl :args (@t1694)) % 0.97/1.15 (step @p2022 :rule ho_cong :premises (@p2021 @p652)) % 0.97/1.15 (step @p2023 :rule trans :premises (@p2022 @p2020)) % 0.97/1.15 (step @p2024 :rule cong :premises (@p2023) :args (@t2010)) % 0.97/1.15 (step @p2025 :rule refl :args (tptp.kpairp)) % 0.97/1.15 (step @p2026 :rule cong :premises (@p2025 @p2024) :args ((= tptp.kpairp @t2010))) % 0.97/1.15 (step @p2027 :rule ho_cong :premises (@p1038 @p664)) % 0.97/1.15 (step @p2028 :rule cong :premises (@p2027) :args (@t629)) % 0.97/1.15 (step @p2029 :rule cong :premises (@p2025 @p2028) :args (@t630)) % 0.97/1.15 (step @p2030 :rule trans :premises (@p2029 @p2026)) % 0.97/1.15 (step @p2031 :rule eq_resolve :premises (@p137 @p2030)) % 0.97/1.15 (step @p2032 :rule cong :premises (@p2031 @p2000) :args (@t2011)) % 0.97/1.15 (step @p2033 :rule cong :premises (@p2020) :args (@t2012)) % 0.97/1.15 (step @p2034 :rule refl :args (tptp.kpairiskpair)) % 0.97/1.15 (step @p2035 :rule cong :premises (@p2034 @p2033) :args ((= tptp.kpairiskpair @t2012))) % 0.97/1.15 (step @p2036 :rule refl :args (@t618)) % 0.97/1.15 (step @p2037 :rule ho_cong :premises (@p1038 @p2036)) % 0.97/1.15 (step @p2038 :rule cong :premises (@p2037) :args (@t626)) % 0.97/1.15 (step @p2039 :rule cong :premises (@p2034 @p2038) :args (@t627)) % 0.97/1.15 (step @p2040 :rule trans :premises (@p2039 @p2035)) % 0.97/1.15 (step @p2041 :rule eq_resolve :premises (@p136 @p2040)) % 0.97/1.15 (step @p2042 :rule cong :premises (@p2041 @p2032) :args (@t2013)) % 0.97/1.15 (step @p2043 :rule refl :args ((tptp.in @t19 @t619))) % 0.97/1.15 (step @p2044 :rule refl :args (@t2002)) % 0.97/1.15 (step @p2045 :rule cong :premises (@p512) :args (@t1123)) % 0.97/1.15 (step @p2046 :rule trans :premises (@p2045 @p2044)) % 0.97/1.15 (step @p2047 :rule cong :premises (@p1013 @p2046) :args (@t1126)) % 0.97/1.15 (step @p2048 :rule trans :premises (@p2047 @p2043)) % 0.97/1.15 (step @p2049 :rule ho_cong :premises (@p1016 @p2046)) % 0.97/1.15 (step @p2050 :rule cong :premises (@p2049 @p2048) :args ((= (_ @t20 @t1123) @t1126))) % 0.97/1.15 (step @p2051 :rule symm :premises (@p2050)) % 0.97/1.15 (step @p2052 :rule refl :args (@t623)) % 0.97/1.15 (step @p2053 :rule eq_resolve :premises (@p2052 @p2051)) % 0.97/1.15 (step @p2054 :rule ho_cong :premises (@p1445 @p512)) % 0.97/1.15 (step @p2055 :rule cong :premises (@p2054 @p2046) :args ((= (_ tptp.setunion @t982) @t1123))) % 0.97/1.15 (step @p2056 :rule symm :premises (@p2055)) % 0.97/1.15 (step @p2057 :rule refl :args (@t619)) % 0.97/1.15 (step @p2058 :rule eq_resolve :premises (@p2057 @p2056)) % 0.97/1.15 (step @p2059 :rule ho_cong :premises (@p1445 @p546)) % 0.97/1.15 (step @p2060 :rule trans :premises (@p2059 @p2058)) % 0.97/1.15 (step @p2061 :rule ho_cong :premises (@p1016 @p2060)) % 0.97/1.15 (step @p2062 :rule trans :premises (@p2061 @p2053)) % 0.97/1.15 (step @p2063 :rule cong :premises (@p2062) :args (@t624)) % 0.97/1.15 (step @p2064 :rule refl :args (tptp.setukpairIR)) % 0.97/1.15 (step @p2065 :rule cong :premises (@p2064 @p2063) :args (@t625)) % 0.97/1.15 (step @p2066 :rule eq_resolve :premises (@p135 @p2065)) % 0.97/1.15 (step @p2067 :rule cong :premises (@p2066 @p2042) :args (@t2014)) % 0.97/1.15 (step @p2068 :rule refl :args ((tptp.in @t4 @t619))) % 0.97/1.15 (step @p2069 :rule cong :premises (@p505 @p2046) :args (@t1127)) % 0.97/1.15 (step @p2070 :rule trans :premises (@p2069 @p2068)) % 0.97/1.15 (step @p2071 :rule ho_cong :premises (@p984 @p2046)) % 0.97/1.15 (step @p2072 :rule cong :premises (@p2071 @p2070) :args ((= (_ @t5 @t1123) @t1127))) % 0.97/1.15 (step @p2073 :rule symm :premises (@p2072)) % 0.97/1.15 (step @p2074 :rule refl :args (@t620)) % 0.97/1.15 (step @p2075 :rule eq_resolve :premises (@p2074 @p2073)) % 0.97/1.15 (step @p2076 :rule ho_cong :premises (@p984 @p2060)) % 0.97/1.15 (step @p2077 :rule trans :premises (@p2076 @p2075)) % 0.97/1.15 (step @p2078 :rule cong :premises (@p2077) :args (@t621)) % 0.97/1.15 (step @p2079 :rule refl :args (tptp.setukpairIL)) % 0.97/1.15 (step @p2080 :rule cong :premises (@p2079 @p2078) :args (@t622)) % 0.97/1.15 (step @p2081 :rule eq_resolve :premises (@p134 @p2080)) % 0.97/1.15 (step @p2082 :rule cong :premises (@p2081 @p2067) :args (@t2015)) % 0.97/1.15 (step @p2083 :rule eq-symm :args (@t1129 tptp.secondinupair)) % 0.97/1.15 (step @p2084 :rule refl :args (tptp.secondinupair)) % 0.97/1.15 (step @p2085 :rule refl :args ((tptp.in @t19 @t291))) % 0.97/1.15 (step @p2086 :rule cong :premises (@p1013 @p507) :args (@t1128)) % 0.97/1.15 (step @p2087 :rule trans :premises (@p2086 @p2085)) % 0.97/1.15 (step @p2088 :rule ho_cong :premises (@p1016 @p507)) % 0.97/1.15 (step @p2089 :rule cong :premises (@p2088 @p2087) :args ((= (_ @t20 @t977) @t1128))) % 0.97/1.15 (step @p2090 :rule symm :premises (@p2089)) % 0.97/1.15 (step @p2091 :rule refl :args (@t301)) % 0.97/1.15 (step @p2092 :rule eq_resolve :premises (@p2091 @p2090)) % 0.97/1.15 (step @p2093 :rule ho_cong :premises (@p1016 @p536)) % 0.97/1.15 (step @p2094 :rule trans :premises (@p2093 @p2092)) % 0.97/1.15 (step @p2095 :rule cong :premises (@p2094) :args (@t302)) % 0.97/1.15 (step @p2096 :rule cong :premises (@p2095 @p2084) :args ((= @t302 tptp.secondinupair))) % 0.97/1.15 (step @p2097 :rule trans :premises (@p2096 @p2083)) % 0.97/1.15 (step @p2098 :rule eq-symm :args (tptp.secondinupair @t302)) % 0.97/1.15 (step @p2099 :rule trans :premises (@p2098 @p2097)) % 0.97/1.15 (step @p2100 :rule eq_resolve :premises (@p133 @p2099)) % 0.97/1.15 (step @p2101 :rule cong :premises (@p2100 @p2082) :args (@t2016)) % 0.97/1.15 (step @p2102 :rule refl :args ((tptp.in @t4 @t598))) % 0.97/1.15 (step @p2103 :rule refl :args (@t1130)) % 0.97/1.15 (step @p2104 :rule cong :premises (@p505 @p2103) :args (@t1131)) % 0.97/1.15 (step @p2105 :rule trans :premises (@p2104 @p2102)) % 0.97/1.15 (step @p2106 :rule ho_cong :premises (@p984 @p2103)) % 0.97/1.15 (step @p2107 :rule cong :premises (@p2106 @p2105) :args ((= (_ @t5 @t1130) @t1131))) % 0.97/1.15 (step @p2108 :rule symm :premises (@p2107)) % 0.97/1.15 (step @p2109 :rule refl :args (@t599)) % 0.97/1.15 (step @p2110 :rule eq_resolve :premises (@p2109 @p2108)) % 0.97/1.15 (step @p2111 :rule refl :args (@t598)) % 0.97/1.15 (step @p2112 :rule cong :premises (@p2111 @p2103) :args ((= @t598 @t1130))) % 0.97/1.15 (step @p2113 :rule symm :premises (@p2112)) % 0.97/1.15 (step @p2114 :rule eq_resolve :premises (@p2111 @p2113)) % 0.97/1.15 (step @p2115 :rule ho_cong :premises (@p984 @p2114)) % 0.97/1.15 (step @p2116 :rule trans :premises (@p2115 @p2110)) % 0.97/1.15 (step @p2117 :rule cong :premises (@p2116) :args (@t609)) % 0.97/1.15 (step @p2118 :rule refl :args (@t1133)) % 0.97/1.15 (step @p2119 :rule refl :args (@t6)) % 0.97/1.15 (step @p2120 :rule cong :premises (@p2119 @p2118) :args ((= @t6 @t1133))) % 0.97/1.15 (step @p2121 :rule symm :premises (@p2120)) % 0.97/1.15 (step @p2122 :rule eq_resolve :premises (@p2119 @p2121)) % 0.97/1.15 (step @p2123 :rule nary_cong :premises (@p838 @p2122 @p2117) :args (@t2017)) % 0.97/1.15 (step @p2124 :rule cong :premises (@p2123) :args ((forall @t245 @t2017))) % 0.97/1.15 (step @p2125 :rule aci_norm :args ((= (or @t7 (or @t6 @t609)) @t2017))) % 0.97/1.15 (step @p2126 :rule refl :args (@t609)) % 0.97/1.15 (step @p2127 :rule bool-double-not-elim :args (@t6)) % 0.97/1.15 (step @p2128 :rule nary_cong :premises (@p2127 @p2126) :args ((or @t2018 @t609))) % 0.97/1.15 (step @p2129 :rule bool-impl-elim :args (@t435 @t609)) % 0.97/1.15 (step @p2130 :rule trans :premises (@p2129 @p2128)) % 0.97/1.15 (step @p2131 :rule nary_cong :premises (@p835 @p2130) :args ((or @t7 @t613))) % 0.97/1.15 (step @p2132 :rule trans :premises (@p2131 @p2125)) % 0.97/1.15 (step @p2133 :rule refl :args (@t613)) % 0.97/1.15 (step @p2134 :rule bool-double-not-elim :args (@t7)) % 0.97/1.15 (step @p2135 :rule nary_cong :premises (@p2134 @p2133) :args ((or @t2019 @t613))) % 0.97/1.15 (step @p2136 :rule bool-impl-elim :args (@t197 @t613)) % 0.97/1.15 (step @p2137 :rule trans :premises (@p2136 @p2135)) % 0.97/1.15 (step @p2138 :rule trans :premises (@p2137 @p2132)) % 0.97/1.15 (step @p2139 :rule cong :premises (@p2138) :args (@t614)) % 0.97/1.15 (step @p2140 :rule trans :premises (@p2139 @p2124)) % 0.97/1.15 (step @p2141 :rule refl :args (tptp.symdiffIneg2)) % 0.97/1.15 (step @p2142 :rule cong :premises (@p2141 @p2140) :args (@t615)) % 0.97/1.15 (step @p2143 :rule eq_resolve :premises (@p132 @p2142)) % 0.97/1.15 (step @p2144 :rule cong :premises (@p2143 @p2101) :args (@t2020)) % 0.97/1.15 (step @p2145 :rule cong :premises (@p2122) :args (@t435)) % 0.97/1.15 (step @p2146 :rule nary_cong :premises (@p839 @p2145 @p2117) :args (@t2021)) % 0.97/1.15 (step @p2147 :rule cong :premises (@p2146) :args ((forall @t245 @t2021))) % 0.97/1.15 (step @p2148 :rule aci_norm :args ((= (or @t197 (or @t435 @t609)) @t2021))) % 0.97/1.15 (step @p2149 :rule bool-impl-elim :args (@t6 @t609)) % 0.97/1.15 (step @p2150 :rule nary_cong :premises (@p1313 @p2149) :args ((or @t197 @t610))) % 0.97/1.15 (step @p2151 :rule trans :premises (@p2150 @p2148)) % 0.97/1.15 (step @p2152 :rule bool-impl-elim :args (@t7 @t610)) % 0.97/1.15 (step @p2153 :rule trans :premises (@p2152 @p2151)) % 0.97/1.15 (step @p2154 :rule cong :premises (@p2153) :args (@t611)) % 0.97/1.15 (step @p2155 :rule trans :premises (@p2154 @p2147)) % 0.97/1.15 (step @p2156 :rule refl :args (tptp.symdiffIneg1)) % 0.97/1.15 (step @p2157 :rule cong :premises (@p2156 @p2155) :args (@t612)) % 0.97/1.15 (step @p2158 :rule eq_resolve :premises (@p131 @p2157)) % 0.97/1.15 (step @p2159 :rule cong :premises (@p2158 @p2144) :args (@t2022)) % 0.97/1.15 (step @p2160 :rule nary_cong :premises (@p838 @p2145 @p2116) :args (@t2023)) % 0.97/1.15 (step @p2161 :rule cong :premises (@p2160) :args ((forall @t245 @t2023))) % 0.97/1.15 (step @p2162 :rule aci_norm :args ((= (or @t7 (or @t435 @t599)) @t2023))) % 0.97/1.15 (step @p2163 :rule bool-impl-elim :args (@t6 @t599)) % 0.97/1.15 (step @p2164 :rule nary_cong :premises (@p835 @p2163) :args ((or @t7 @t606))) % 0.97/1.15 (step @p2165 :rule trans :premises (@p2164 @p2162)) % 0.97/1.15 (step @p2166 :rule refl :args (@t606)) % 0.97/1.15 (step @p2167 :rule nary_cong :premises (@p2134 @p2166) :args ((or @t2019 @t606))) % 0.97/1.15 (step @p2168 :rule bool-impl-elim :args (@t197 @t606)) % 0.97/1.15 (step @p2169 :rule trans :premises (@p2168 @p2167)) % 0.97/1.15 (step @p2170 :rule trans :premises (@p2169 @p2165)) % 0.97/1.15 (step @p2171 :rule cong :premises (@p2170) :args (@t607)) % 0.97/1.15 (step @p2172 :rule trans :premises (@p2171 @p2161)) % 0.97/1.15 (step @p2173 :rule refl :args (tptp.symdiffI2)) % 0.97/1.15 (step @p2174 :rule cong :premises (@p2173 @p2172) :args (@t608)) % 0.97/1.15 (step @p2175 :rule eq_resolve :premises (@p130 @p2174)) % 0.97/1.15 (step @p2176 :rule cong :premises (@p2175 @p2159) :args (@t2024)) % 0.97/1.15 (step @p2177 :rule nary_cong :premises (@p839 @p2122 @p2116) :args (@t2025)) % 0.97/1.15 (step @p2178 :rule cong :premises (@p2177) :args ((forall @t245 @t2025))) % 0.97/1.15 (step @p2179 :rule aci_norm :args ((= (or @t197 (or @t6 @t599)) @t2025))) % 0.97/1.15 (step @p2180 :rule nary_cong :premises (@p2127 @p2109) :args ((or @t2018 @t599))) % 0.97/1.15 (step @p2181 :rule bool-impl-elim :args (@t435 @t599)) % 0.97/1.15 (step @p2182 :rule trans :premises (@p2181 @p2180)) % 0.97/1.15 (step @p2183 :rule nary_cong :premises (@p1313 @p2182) :args ((or @t197 @t603))) % 0.97/1.15 (step @p2184 :rule trans :premises (@p2183 @p2179)) % 0.97/1.15 (step @p2185 :rule bool-impl-elim :args (@t7 @t603)) % 0.97/1.15 (step @p2186 :rule trans :premises (@p2185 @p2184)) % 0.97/1.15 (step @p2187 :rule cong :premises (@p2186) :args (@t604)) % 0.97/1.15 (step @p2188 :rule trans :premises (@p2187 @p2178)) % 0.97/1.15 (step @p2189 :rule refl :args (tptp.symdiffI1)) % 0.97/1.15 (step @p2190 :rule cong :premises (@p2189 @p2188) :args (@t605)) % 0.97/1.15 (step @p2191 :rule eq_resolve :premises (@p129 @p2190)) % 0.97/1.15 (step @p2192 :rule cong :premises (@p2191 @p2176) :args (@t2026)) % 0.97/1.15 (step @p2193 :rule refl :args (@t1135)) % 0.97/1.15 (step @p2194 :rule refl :args (@t1136)) % 0.97/1.15 (step @p2195 :rule nary_cong :premises (@p2117 @p2194 @p2193) :args (@t2027)) % 0.97/1.15 (step @p2196 :rule cong :premises (@p2195) :args ((forall @t245 @t2027))) % 0.97/1.15 (step @p2197 :rule aci_norm :args ((= (or @t609 @t2028) @t2027))) % 0.97/1.15 (step @p2198 :rule bool-impl-elim :args (@t599 @t2028)) % 0.97/1.15 (step @p2199 :rule trans :premises (@p2198 @p2197)) % 0.97/1.15 (step @p2200 :rule cong :premises (@p2199) :args ((forall @t245 (=> @t599 @t2028)))) % 0.97/1.15 (step @p2201 :rule trans :premises (@p2200 @p2196)) % 0.97/1.15 (step @p2202 :rule aci_norm :args ((= (and @t1035 @t1133 true) @t1135))) % 0.97/1.15 (step @p2203 :rule evaluate :args (@t2029)) % 0.97/1.15 (step @p2204 :rule refl :args (@t1133)) % 0.97/1.15 (step @p2205 :rule refl :args (@t1035)) % 0.97/1.15 (step @p2206 :rule nary_cong :premises (@p2205 @p2204 @p2203) :args (@t2030)) % 0.97/1.15 (step @p2207 :rule trans :premises (@p2206 @p2202)) % 0.97/1.15 (step @p2208 :rule aci_norm :args ((= (and @t1034 @t1134 true) @t1136))) % 0.97/1.15 (step @p2209 :rule refl :args (@t1134)) % 0.97/1.15 (step @p2210 :rule refl :args (@t1034)) % 0.97/1.15 (step @p2211 :rule nary_cong :premises (@p2210 @p2209 @p2203) :args (@t2031)) % 0.97/1.15 (step @p2212 :rule trans :premises (@p2211 @p2208)) % 0.97/1.15 (step @p2213 :rule nary_cong :premises (@p2212 @p2207) :args (@t2032)) % 0.97/1.15 (step @p2214 :rule aci_norm :args ((= @t2033 @t2032))) % 0.97/1.15 (step @p2215 :rule trans :premises (@p2214 @p2213)) % 0.97/1.15 (step @p2216 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2037 @t2036 @t2035 @t173)) @t2033))) % 0.97/1.15 (step @p2217 :rule refl :args (@t173)) % 0.97/1.15 (step @p2218 :rule refl :args (@t2035)) % 0.97/1.15 (step @p2219 :rule refl :args (@t2036)) % 0.97/1.15 (step @p2220 :rule bool-eq-false :args (@t173)) % 0.97/1.15 (step @p2221 :rule symm :premises (@p2220)) % 0.97/1.15 (step @p2222 :rule cong :premises (@p2221) :args ((not @t2034))) % 0.97/1.15 (step @p2223 :rule bool-double-not-elim :args (@t173)) % 0.97/1.15 (step @p2224 :rule symm :premises (@p2223)) % 0.97/1.15 (step @p2225 :rule trans :premises (@p2224 @p2222)) % 0.97/1.15 (step @p2226 :rule nary_cong :premises (@p2225 @p2219 @p2218 @p2217) :args (@t2038)) % 0.97/1.15 (step @p2227 :rule aci_norm :args ((= @t2039 @t2038))) % 0.97/1.15 (step @p2228 :rule trans :premises (@p2227 @p2226)) % 0.97/1.15 (step @p2229 :rule cong :premises (@p2228) :args ((forall @t179 @t2039))) % 0.97/1.15 (step @p2230 :rule trans :premises (@p2229 @p2216)) % 0.97/1.15 (step @p2231 :rule trans :premises (@p2230 @p2215)) % 0.97/1.15 (step @p2232 :rule refl :args (@t2034)) % 0.97/1.15 (step @p2233 :rule nary_cong :premises (@p839 @p2122 @p2232) :args (@t2040)) % 0.97/1.15 (step @p2234 :rule nary_cong :premises (@p838 @p2145 @p2232) :args (@t2041)) % 0.97/1.15 (step @p2235 :rule nary_cong :premises (@p2234 @p2233 @p2217) :args (@t2042)) % 0.97/1.15 (step @p2236 :rule cong :premises (@p2235) :args ((forall @t179 @t2042))) % 0.97/1.15 (step @p2237 :rule trans :premises (@p2236 @p2231)) % 0.97/1.15 (step @p2238 :rule aci_norm :args ((= (or @t2041 (or @t2040 @t173)) @t2042))) % 0.97/1.15 (step @p2239 :rule aci_norm :args ((= (and @t197 @t2043) @t2040))) % 0.97/1.15 (step @p2240 :rule bool-implies-de-morgan :args (@t6 @t173)) % 0.97/1.15 (step @p2241 :rule nary_cong :premises (@p1313 @p2240) :args ((and @t197 @t2044))) % 0.97/1.15 (step @p2242 :rule trans :premises (@p2241 @p2239)) % 0.97/1.15 (step @p2243 :rule bool-implies-de-morgan :args (@t197 @t498)) % 0.97/1.15 (step @p2244 :rule trans :premises (@p2243 @p2242)) % 0.97/1.15 (step @p2245 :rule nary_cong :premises (@p2244 @p2217) :args ((or (not @t593) @t173))) % 0.97/1.15 (step @p2246 :rule bool-impl-elim :args (@t593 @t173)) % 0.97/1.15 (step @p2247 :rule trans :premises (@p2246 @p2245)) % 0.97/1.15 (step @p2248 :rule aci_norm :args ((= (and @t7 (and @t435 @t2034)) @t2041))) % 0.97/1.15 (step @p2249 :rule bool-implies-de-morgan :args (@t435 @t173)) % 0.97/1.15 (step @p2250 :rule nary_cong :premises (@p835 @p2249) :args ((and @t7 (not @t595)))) % 0.97/1.15 (step @p2251 :rule trans :premises (@p2250 @p2248)) % 0.97/1.15 (step @p2252 :rule bool-implies-de-morgan :args (@t7 @t595)) % 0.97/1.15 (step @p2253 :rule trans :premises (@p2252 @p2251)) % 0.97/1.15 (step @p2254 :rule nary_cong :premises (@p2253 @p2247) :args ((or (not @t596) @t594))) % 0.97/1.15 (step @p2255 :rule trans :premises (@p2254 @p2238)) % 0.97/1.15 (step @p2256 :rule bool-impl-elim :args (@t596 @t594)) % 0.97/1.15 (step @p2257 :rule trans :premises (@p2256 @p2255)) % 0.97/1.15 (step @p2258 :rule cong :premises (@p2257) :args (@t597)) % 0.97/1.15 (step @p2259 :rule trans :premises (@p2258 @p2237)) % 0.97/1.15 (step @p2260 :rule refl :args (@t599)) % 0.97/1.15 (step @p2261 :rule cong :premises (@p2260 @p2259) :args (@t600)) % 0.97/1.15 (step @p2262 :rule cong :premises (@p2261) :args (@t601)) % 0.97/1.15 (step @p2263 :rule trans :premises (@p2262 @p2201)) % 0.97/1.15 (step @p2264 :rule refl :args (tptp.symdiffE)) % 0.97/1.15 (step @p2265 :rule cong :premises (@p2264 @p2263) :args (@t602)) % 0.97/1.15 (step @p2266 :rule eq_resolve :premises (@p128 @p2265)) % 0.97/1.15 (step @p2267 :rule cong :premises (@p2266 @p2192) :args (@t2045)) % 0.97/1.15 (step @p2268 :rule refl :args (@t1137)) % 0.97/1.15 (step @p2269 :rule refl :args (@t420)) % 0.97/1.15 (step @p2270 :rule cong :premises (@p2269 @p2268) :args ((= @t420 @t1137))) % 0.97/1.15 (step @p2271 :rule symm :premises (@p2270)) % 0.97/1.15 (step @p2272 :rule eq_resolve :premises (@p2269 @p2271)) % 0.97/1.15 (step @p2273 :rule refl :args (@t1138)) % 0.97/1.15 (step @p2274 :rule refl :args (@t565)) % 0.97/1.15 (step @p2275 :rule cong :premises (@p2274 @p2273) :args ((= @t565 @t1138))) % 0.97/1.15 (step @p2276 :rule symm :premises (@p2275)) % 0.97/1.15 (step @p2277 :rule eq_resolve :premises (@p2274 @p2276)) % 0.97/1.15 (step @p2278 :rule cong :premises (@p230 @p2277) :args (@t2046)) % 0.97/1.15 (step @p2279 :rule cong :premises (@p2278) :args (@t2047)) % 0.97/1.15 (step @p2280 :rule nary_cong :premises (@p2279 @p2272) :args (@t2048)) % 0.97/1.15 (step @p2281 :rule cong :premises (@p2280) :args ((forall @t12 @t2048))) % 0.97/1.15 (step @p2282 :rule bool-impl-elim :args (@t2046 @t420)) % 0.97/1.15 (step @p2283 :rule cong :premises (@p2282) :args ((forall @t12 (=> @t2046 @t420)))) % 0.97/1.15 (step @p2284 :rule trans :premises (@p2283 @p2281)) % 0.97/1.15 (step @p2285 :rule refl :args (@t420)) % 0.97/1.15 (step @p2286 :rule eq-symm :args (@t565 tptp.emptyset)) % 0.97/1.15 (step @p2287 :rule cong :premises (@p2286 @p2285) :args (@t590)) % 0.97/1.15 (step @p2288 :rule cong :premises (@p2287) :args (@t591)) % 0.97/1.15 (step @p2289 :rule trans :premises (@p2288 @p2284)) % 0.97/1.15 (step @p2290 :rule refl :args (tptp.setminusSubset1)) % 0.97/1.15 (step @p2291 :rule cong :premises (@p2290 @p2289) :args (@t592)) % 0.97/1.15 (step @p2292 :rule eq_resolve :premises (@p127 @p2291)) % 0.97/1.15 (step @p2293 :rule cong :premises (@p2292 @p2267) :args (@t2049)) % 0.97/1.15 (step @p2294 :rule refl :args ((tptp.subset @t565 @t2))) % 0.97/1.15 (step @p2295 :rule cong :premises (@p2273 @p677) :args (@t1140)) % 0.97/1.15 (step @p2296 :rule trans :premises (@p2295 @p2294)) % 0.97/1.15 (step @p2297 :rule ho_cong :premises (@p1496 @p2273)) % 0.97/1.15 (step @p2298 :rule ho_cong :premises (@p2297 @p677)) % 0.97/1.15 (step @p2299 :rule cong :premises (@p2298 @p2296) :args ((= (_ (_ tptp.subset @t1138) @t2) @t1140))) % 0.97/1.15 (step @p2300 :rule symm :premises (@p2299)) % 0.97/1.15 (step @p2301 :rule refl :args (@t587)) % 0.97/1.15 (step @p2302 :rule eq_resolve :premises (@p2301 @p2300)) % 0.97/1.15 (step @p2303 :rule ho_cong :premises (@p1496 @p2277)) % 0.97/1.15 (step @p2304 :rule ho_cong :premises (@p2303 @p677)) % 0.97/1.15 (step @p2305 :rule trans :premises (@p2304 @p2302)) % 0.97/1.15 (step @p2306 :rule cong :premises (@p2305) :args (@t588)) % 0.97/1.15 (step @p2307 :rule refl :args (tptp.setminusLsub)) % 0.97/1.16 (step @p2308 :rule cong :premises (@p2307 @p2306) :args (@t589)) % 0.97/1.16 (step @p2309 :rule eq_resolve :premises (@p126 @p2308)) % 0.97/1.16 (step @p2310 :rule cong :premises (@p2309 @p2293) :args (@t2050)) % 0.97/1.16 (step @p2311 :rule refl :args ((tptp.in @t4 @t565))) % 0.97/1.16 (step @p2312 :rule cong :premises (@p505 @p2273) :args (@t1141)) % 0.97/1.16 (step @p2313 :rule trans :premises (@p2312 @p2311)) % 0.97/1.16 (step @p2314 :rule ho_cong :premises (@p984 @p2273)) % 0.97/1.16 (step @p2315 :rule cong :premises (@p2314 @p2313) :args ((= (_ @t5 @t1138) @t1141))) % 0.97/1.16 (step @p2316 :rule symm :premises (@p2315)) % 0.97/1.16 (step @p2317 :rule refl :args (@t566)) % 0.97/1.16 (step @p2318 :rule eq_resolve :premises (@p2317 @p2316)) % 0.97/1.16 (step @p2319 :rule ho_cong :premises (@p984 @p2277)) % 0.97/1.16 (step @p2320 :rule trans :premises (@p2319 @p2318)) % 0.97/1.16 (step @p2321 :rule cong :premises (@p2320) :args (@t578)) % 0.97/1.16 (step @p2322 :rule nary_cong :premises (@p2145 @p2321) :args (@t2051)) % 0.97/1.16 (step @p2323 :rule cong :premises (@p2322) :args ((forall @t245 @t2051))) % 0.97/1.16 (step @p2324 :rule bool-impl-elim :args (@t6 @t578)) % 0.97/1.16 (step @p2325 :rule cong :premises (@p2324) :args (@t585)) % 0.97/1.16 (step @p2326 :rule trans :premises (@p2325 @p2323)) % 0.97/1.16 (step @p2327 :rule refl :args (tptp.setminusIRneg)) % 0.97/1.16 (step @p2328 :rule cong :premises (@p2327 @p2326) :args (@t586)) % 0.97/1.16 (step @p2329 :rule eq_resolve :premises (@p125 @p2328)) % 0.97/1.16 (step @p2330 :rule cong :premises (@p2329 @p2310) :args (@t2052)) % 0.97/1.16 (step @p2331 :rule nary_cong :premises (@p838 @p2321) :args (@t2053)) % 0.97/1.16 (step @p2332 :rule cong :premises (@p2331) :args ((forall @t245 @t2053))) % 0.97/1.16 (step @p2333 :rule refl :args (@t578)) % 0.97/1.16 (step @p2334 :rule nary_cong :premises (@p2134 @p2333) :args ((or @t2019 @t578))) % 0.97/1.16 (step @p2335 :rule bool-impl-elim :args (@t197 @t578)) % 0.97/1.16 (step @p2336 :rule trans :premises (@p2335 @p2334)) % 0.97/1.16 (step @p2337 :rule cong :premises (@p2336) :args (@t583)) % 0.97/1.16 (step @p2338 :rule trans :premises (@p2337 @p2332)) % 0.97/1.16 (step @p2339 :rule refl :args (tptp.setminusILneg)) % 0.97/1.16 (step @p2340 :rule cong :premises (@p2339 @p2338) :args (@t584)) % 0.97/1.16 (step @p2341 :rule eq_resolve :premises (@p124 @p2340)) % 0.97/1.16 (step @p2342 :rule cong :premises (@p2341 @p2330) :args (@t2054)) % 0.97/1.16 (step @p2343 :rule nary_cong :premises (@p2320 @p2122 @p839) :args (@t2055)) % 0.97/1.16 (step @p2344 :rule cong :premises (@p2343) :args ((forall @t245 @t2055))) % 0.97/1.16 (step @p2345 :rule aci_norm :args ((= (or @t566 @t2056) @t2055))) % 0.97/1.16 (step @p2346 :rule nary_cong :premises (@p2127 @p1313) :args ((or @t2018 @t197))) % 0.97/1.16 (step @p2347 :rule bool-impl-elim :args (@t435 @t197)) % 0.97/1.16 (step @p2348 :rule trans :premises (@p2347 @p2346)) % 0.97/1.16 (step @p2349 :rule nary_cong :premises (@p2317 @p2348) :args ((or @t566 @t436))) % 0.97/1.16 (step @p2350 :rule trans :premises (@p2349 @p2345)) % 0.97/1.16 (step @p2351 :rule refl :args (@t436)) % 0.97/1.16 (step @p2352 :rule bool-double-not-elim :args (@t566)) % 0.97/1.16 (step @p2353 :rule nary_cong :premises (@p2352 @p2351) :args ((or @t2057 @t436))) % 0.97/1.16 (step @p2354 :rule bool-impl-elim :args (@t578 @t436)) % 0.97/1.16 (step @p2355 :rule trans :premises (@p2354 @p2353)) % 0.97/1.16 (step @p2356 :rule trans :premises (@p2355 @p2350)) % 0.97/1.16 (step @p2357 :rule cong :premises (@p2356) :args (@t581)) % 0.97/1.16 (step @p2358 :rule trans :premises (@p2357 @p2344)) % 0.97/1.16 (step @p2359 :rule refl :args (tptp.setminusELneg)) % 0.97/1.16 (step @p2360 :rule cong :premises (@p2359 @p2358) :args (@t582)) % 0.97/1.16 (step @p2361 :rule eq_resolve :premises (@p123 @p2360)) % 0.97/1.16 (step @p2362 :rule cong :premises (@p2361 @p2342) :args (@t2058)) % 0.97/1.16 (step @p2363 :rule nary_cong :premises (@p2320 @p839 @p2122) :args (@t2059)) % 0.97/1.16 (step @p2364 :rule cong :premises (@p2363) :args ((forall @t245 @t2059))) % 0.97/1.16 (step @p2365 :rule aci_norm :args ((= (or @t566 @t2060) @t2059))) % 0.97/1.16 (step @p2366 :rule bool-impl-elim :args (@t7 @t6)) % 0.97/1.16 (step @p2367 :rule nary_cong :premises (@p2317 @p2366) :args ((or @t566 @t191))) % 0.97/1.16 (step @p2368 :rule trans :premises (@p2367 @p2365)) % 0.97/1.16 (step @p2369 :rule refl :args (@t191)) % 0.97/1.16 (step @p2370 :rule nary_cong :premises (@p2352 @p2369) :args ((or @t2057 @t191))) % 0.97/1.16 (step @p2371 :rule bool-impl-elim :args (@t578 @t191)) % 0.97/1.16 (step @p2372 :rule trans :premises (@p2371 @p2370)) % 0.97/1.16 (step @p2373 :rule trans :premises (@p2372 @p2368)) % 0.97/1.16 (step @p2374 :rule cong :premises (@p2373) :args (@t579)) % 0.97/1.16 (step @p2375 :rule trans :premises (@p2374 @p2364)) % 0.97/1.16 (step @p2376 :rule refl :args (tptp.setminusERneg)) % 0.97/1.16 (step @p2377 :rule cong :premises (@p2376 @p2375) :args (@t580)) % 0.97/1.16 (step @p2378 :rule eq_resolve :premises (@p122 @p2377)) % 0.97/1.16 (step @p2379 :rule cong :premises (@p2378 @p2362) :args (@t2061)) % 0.97/1.16 (step @p2380 :rule cong :premises (@p2272) :args (@t439)) % 0.97/1.16 (step @p2381 :rule nary_cong :premises (@p2380 @p2278) :args (@t2062)) % 0.97/1.16 (step @p2382 :rule cong :premises (@p2381) :args ((forall @t12 @t2062))) % 0.97/1.16 (step @p2383 :rule bool-impl-elim :args (@t420 @t2046)) % 0.97/1.16 (step @p2384 :rule cong :premises (@p2383) :args ((forall @t12 (=> @t420 @t2046)))) % 0.97/1.16 (step @p2385 :rule trans :premises (@p2384 @p2382)) % 0.97/1.16 (step @p2386 :rule cong :premises (@p2285 @p2286) :args (@t575)) % 0.97/1.16 (step @p2387 :rule cong :premises (@p2386) :args (@t576)) % 0.97/1.16 (step @p2388 :rule trans :premises (@p2387 @p2385)) % 0.97/1.16 (step @p2389 :rule refl :args (tptp.setminusSubset2)) % 0.97/1.16 (step @p2390 :rule cong :premises (@p2389 @p2388) :args (@t577)) % 0.97/1.16 (step @p2391 :rule eq_resolve :premises (@p121 @p2390)) % 0.97/1.16 (step @p2392 :rule cong :premises (@p2391 @p2379) :args (@t2063)) % 0.97/1.16 (step @p2393 :rule nary_cong :premises (@p2321 @p2145) :args (@t2064)) % 0.97/1.16 (step @p2394 :rule cong :premises (@p2393) :args ((forall @t245 @t2064))) % 0.97/1.16 (step @p2395 :rule bool-impl-elim :args (@t566 @t435)) % 0.97/1.16 (step @p2396 :rule cong :premises (@p2395) :args (@t572)) % 0.97/1.16 (step @p2397 :rule trans :premises (@p2396 @p2394)) % 0.97/1.16 (step @p2398 :rule refl :args (tptp.setminusER)) % 0.97/1.16 (step @p2399 :rule cong :premises (@p2398 @p2397) :args (@t573)) % 0.97/1.16 (step @p2400 :rule eq_resolve :premises (@p120 @p2399)) % 0.97/1.16 (step @p2401 :rule cong :premises (@p2400 @p2392) :args (@t2065)) % 0.97/1.16 (step @p2402 :rule nary_cong :premises (@p2321 @p838) :args (@t2066)) % 0.97/1.16 (step @p2403 :rule cong :premises (@p2402) :args ((forall @t245 @t2066))) % 0.97/1.16 (step @p2404 :rule bool-impl-elim :args (@t566 @t7)) % 0.97/1.16 (step @p2405 :rule cong :premises (@p2404) :args (@t570)) % 0.97/1.16 (step @p2406 :rule trans :premises (@p2405 @p2403)) % 0.97/1.16 (step @p2407 :rule refl :args (tptp.setminusEL)) % 0.97/1.16 (step @p2408 :rule cong :premises (@p2407 @p2406) :args (@t571)) % 0.97/1.16 (step @p2409 :rule eq_resolve :premises (@p119 @p2408)) % 0.97/1.16 (step @p2410 :rule cong :premises (@p2409 @p2401) :args (@t2067)) % 0.97/1.16 (step @p2411 :rule nary_cong :premises (@p839 @p2122 @p2320) :args (@t2068)) % 0.97/1.16 (step @p2412 :rule cong :premises (@p2411) :args ((forall @t245 @t2068))) % 0.97/1.16 (step @p2413 :rule aci_norm :args ((= (or @t197 (or @t6 @t566)) @t2068))) % 0.97/1.16 (step @p2414 :rule nary_cong :premises (@p2127 @p2317) :args ((or @t2018 @t566))) % 0.97/1.16 (step @p2415 :rule bool-impl-elim :args (@t435 @t566)) % 0.97/1.16 (step @p2416 :rule trans :premises (@p2415 @p2414)) % 0.97/1.16 (step @p2417 :rule nary_cong :premises (@p1313 @p2416) :args ((or @t197 @t567))) % 0.97/1.16 (step @p2418 :rule trans :premises (@p2417 @p2413)) % 0.97/1.16 (step @p2419 :rule bool-impl-elim :args (@t7 @t567)) % 0.97/1.16 (step @p2420 :rule trans :premises (@p2419 @p2418)) % 0.97/1.16 (step @p2421 :rule cong :premises (@p2420) :args (@t568)) % 0.97/1.16 (step @p2422 :rule trans :premises (@p2421 @p2412)) % 0.97/1.16 (step @p2423 :rule refl :args (tptp.setminusI)) % 0.97/1.16 (step @p2424 :rule cong :premises (@p2423 @p2422) :args (@t569)) % 0.97/1.16 (step @p2425 :rule eq_resolve :premises (@p118 @p2424)) % 0.97/1.16 (step @p2426 :rule cong :premises (@p2425 @p2410) :args (@t2069)) % 0.97/1.16 (step @p2427 :rule refl :args ((tptp.binunion @t515 @t558))) % 0.97/1.16 (step @p2428 :rule refl :args (@t1144)) % 0.97/1.16 (step @p2429 :rule refl :args (@t1145)) % 0.97/1.16 (step @p2430 :rule cong :premises (@p2429 @p2428) :args (@t1146)) % 0.97/1.16 (step @p2431 :rule trans :premises (@p2430 @p2427)) % 0.97/1.16 (step @p2432 :rule refl :args (tptp.binunion)) % 0.97/1.16 (step @p2433 :rule ho_cong :premises (@p2432 @p2429)) % 0.97/1.16 (step @p2434 :rule ho_cong :premises (@p2433 @p2428)) % 0.97/1.16 (step @p2435 :rule cong :premises (@p2434 @p2431) :args ((= (_ (_ tptp.binunion @t1145) @t1144) @t1146))) % 0.97/1.16 (step @p2436 :rule symm :premises (@p2435)) % 0.97/1.16 (step @p2437 :rule refl :args (@t559)) % 0.97/1.16 (step @p2438 :rule eq_resolve :premises (@p2437 @p2436)) % 0.97/1.16 (step @p2439 :rule refl :args (@t558)) % 0.97/1.16 (step @p2440 :rule cong :premises (@p2439 @p2428) :args ((= @t558 @t1144))) % 0.97/1.16 (step @p2441 :rule symm :premises (@p2440)) % 0.97/1.16 (step @p2442 :rule eq_resolve :premises (@p2439 @p2441)) % 0.97/1.16 (step @p2443 :rule refl :args (@t515)) % 0.97/1.16 (step @p2444 :rule cong :premises (@p2443 @p2429) :args ((= @t515 @t1145))) % 0.97/1.16 (step @p2445 :rule symm :premises (@p2444)) % 0.97/1.16 (step @p2446 :rule eq_resolve :premises (@p2443 @p2445)) % 0.97/1.16 (step @p2447 :rule ho_cong :premises (@p2432 @p2446)) % 0.97/1.16 (step @p2448 :rule ho_cong :premises (@p2447 @p2442)) % 0.97/1.16 (step @p2449 :rule trans :premises (@p2448 @p2438)) % 0.97/1.16 (step @p2450 :rule refl :args ((tptp.binintersect @t2 @t560))) % 0.97/1.16 (step @p2451 :rule refl :args (@t1147)) % 0.97/1.16 (step @p2452 :rule cong :premises (@p677 @p2451) :args (@t1148)) % 0.97/1.16 (step @p2453 :rule trans :premises (@p2452 @p2450)) % 0.97/1.16 (step @p2454 :rule refl :args (@t514)) % 0.97/1.16 (step @p2455 :rule ho_cong :premises (@p2454 @p2451)) % 0.97/1.16 (step @p2456 :rule cong :premises (@p2455 @p2453) :args ((= (_ @t514 @t1147) @t1148))) % 0.97/1.16 (step @p2457 :rule symm :premises (@p2456)) % 0.97/1.16 (step @p2458 :rule refl :args (@t561)) % 0.97/1.16 (step @p2459 :rule eq_resolve :premises (@p2458 @p2457)) % 0.97/1.16 (step @p2460 :rule refl :args (@t560)) % 0.97/1.16 (step @p2461 :rule cong :premises (@p2460 @p2451) :args ((= @t560 @t1147))) % 0.97/1.16 (step @p2462 :rule symm :premises (@p2461)) % 0.97/1.16 (step @p2463 :rule eq_resolve :premises (@p2460 @p2462)) % 0.97/1.16 (step @p2464 :rule ho_cong :premises (@p2454 @p2463)) % 0.97/1.16 (step @p2465 :rule trans :premises (@p2464 @p2459)) % 0.97/1.16 (step @p2466 :rule cong :premises (@p2465 @p2449) :args (@t562)) % 0.97/1.16 (step @p2467 :rule cong :premises (@p2466) :args (@t563)) % 0.97/1.16 (step @p2468 :rule refl :args (tptp.bs114d)) % 0.97/1.16 (step @p2469 :rule cong :premises (@p2468 @p2467) :args (@t564)) % 0.97/1.16 (step @p2470 :rule eq_resolve :premises (@p117 @p2469)) % 0.97/1.16 (step @p2471 :rule cong :premises (@p2470 @p2426) :args (@t2070)) % 0.97/1.16 (step @p2472 :rule cong :premises (@p677 @p2446) :args (@t2071)) % 0.97/1.16 (step @p2473 :rule cong :premises (@p2472) :args (@t2072)) % 0.97/1.16 (step @p2474 :rule nary_cong :premises (@p2473 @p2272) :args (@t2073)) % 0.97/1.16 (step @p2475 :rule cong :premises (@p2474) :args ((forall @t12 @t2073))) % 0.97/1.16 (step @p2476 :rule bool-impl-elim :args (@t2071 @t420)) % 0.97/1.16 (step @p2477 :rule cong :premises (@p2476) :args ((forall @t12 (=> @t2071 @t420)))) % 0.97/1.16 (step @p2478 :rule trans :premises (@p2477 @p2475)) % 0.97/1.16 (step @p2479 :rule eq-symm :args (@t515 @t2)) % 0.97/1.16 (step @p2480 :rule cong :premises (@p2479 @p2285) :args (@t555)) % 0.97/1.16 (step @p2481 :rule cong :premises (@p2480) :args (@t556)) % 0.97/1.16 (step @p2482 :rule trans :premises (@p2481 @p2478)) % 0.97/1.16 (step @p2483 :rule refl :args (tptp.binintersectSubset1)) % 0.97/1.16 (step @p2484 :rule cong :premises (@p2483 @p2482) :args (@t557)) % 0.97/1.16 (step @p2485 :rule eq_resolve :premises (@p116 @p2484)) % 0.97/1.16 (step @p2486 :rule cong :premises (@p2485 @p2471) :args (@t2074)) % 0.97/1.16 (step @p2487 :rule refl :args (@t1)) % 0.97/1.16 (step @p2488 :rule cong :premises (@p2487 @p2446) :args (@t2075)) % 0.97/1.16 (step @p2489 :rule refl :args (@t1151)) % 0.97/1.16 (step @p2490 :rule refl :args (@t425)) % 0.97/1.16 (step @p2491 :rule cong :premises (@p2490 @p2489) :args ((= @t425 @t1151))) % 0.97/1.16 (step @p2492 :rule symm :premises (@p2491)) % 0.97/1.16 (step @p2493 :rule eq_resolve :premises (@p2490 @p2492)) % 0.97/1.16 (step @p2494 :rule cong :premises (@p2493) :args (@t2076)) % 0.97/1.16 (step @p2495 :rule nary_cong :premises (@p2494 @p2488) :args (@t2077)) % 0.97/1.16 (step @p2496 :rule cong :premises (@p2495) :args ((forall @t12 @t2077))) % 0.97/1.16 (step @p2497 :rule bool-impl-elim :args (@t425 @t2075)) % 0.97/1.16 (step @p2498 :rule cong :premises (@p2497) :args ((forall @t12 (=> @t425 @t2075)))) % 0.97/1.16 (step @p2499 :rule trans :premises (@p2498 @p2496)) % 0.97/1.16 (step @p2500 :rule eq-symm :args (@t515 @t1)) % 0.97/1.16 (step @p2501 :rule refl :args (@t425)) % 0.97/1.16 (step @p2502 :rule cong :premises (@p2501 @p2500) :args (@t552)) % 0.97/1.16 (step @p2503 :rule cong :premises (@p2502) :args (@t553)) % 0.97/1.16 (step @p2504 :rule trans :premises (@p2503 @p2499)) % 0.97/1.16 (step @p2505 :rule refl :args (tptp.binintersectSubset4)) % 0.97/1.16 (step @p2506 :rule cong :premises (@p2505 @p2504) :args (@t554)) % 0.97/1.16 (step @p2507 :rule eq_resolve :premises (@p115 @p2506)) % 0.97/1.16 (step @p2508 :rule cong :premises (@p2507 @p2486) :args (@t2078)) % 0.97/1.16 (step @p2509 :rule refl :args ((tptp.subset @t515 @t1))) % 0.97/1.16 (step @p2510 :rule cong :premises (@p2429 @p2487) :args (@t1153)) % 0.97/1.16 (step @p2511 :rule trans :premises (@p2510 @p2509)) % 0.97/1.16 (step @p2512 :rule ho_cong :premises (@p1496 @p2429)) % 0.97/1.16 (step @p2513 :rule ho_cong :premises (@p2512 @p2487)) % 0.97/1.16 (step @p2514 :rule cong :premises (@p2513 @p2511) :args ((= (_ @t2079 @t1) @t1153))) % 0.97/1.16 (step @p2515 :rule symm :premises (@p2514)) % 0.97/1.16 (step @p2516 :rule refl :args (@t549)) % 0.97/1.16 (step @p2517 :rule eq_resolve :premises (@p2516 @p2515)) % 0.97/1.16 (step @p2518 :rule ho_cong :premises (@p1496 @p2446)) % 0.97/1.16 (step @p2519 :rule ho_cong :premises (@p2518 @p2487)) % 0.97/1.16 (step @p2520 :rule trans :premises (@p2519 @p2517)) % 0.97/1.16 (step @p2521 :rule cong :premises (@p2520) :args (@t550)) % 0.97/1.16 (step @p2522 :rule refl :args (tptp.binintersectRsub)) % 0.97/1.16 (step @p2523 :rule cong :premises (@p2522 @p2521) :args (@t551)) % 0.97/1.16 (step @p2524 :rule eq_resolve :premises (@p114 @p2523)) % 0.97/1.16 (step @p2525 :rule cong :premises (@p2524 @p2508) :args (@t2080)) % 0.97/1.16 (step @p2526 :rule cong :premises (@p230 @p2446) :args (@t2081)) % 0.97/1.16 (step @p2527 :rule refl :args (@t1155)) % 0.97/1.16 (step @p2528 :rule nary_cong :premises (@p2527 @p2526) :args (@t2082)) % 0.97/1.16 (step @p2529 :rule cong :premises (@p2528) :args ((forall @t12 @t2082))) % 0.97/1.16 (step @p2530 :rule bool-impl-elim :args (@t1154 @t2081)) % 0.97/1.16 (step @p2531 :rule cong :premises (@p2530) :args ((forall @t12 (=> @t1154 @t2081)))) % 0.97/1.16 (step @p2532 :rule trans :premises (@p2531 @p2529)) % 0.97/1.16 (step @p2533 :rule eq-symm :args (@t515 tptp.emptyset)) % 0.97/1.16 (step @p2534 :rule bool-double-not-elim :args (@t1154)) % 0.97/1.16 (step @p2535 :rule nary_cong :premises (@p839 @p2145) :args (@t2083)) % 0.97/1.16 (step @p2536 :rule cong :premises (@p2535) :args ((forall @t9 @t2083))) % 0.97/1.16 (step @p2537 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.97/1.16 (step @p2538 :rule cong :premises (@p2537) :args (@t2084)) % 0.97/1.16 (step @p2539 :rule trans :premises (@p2538 @p2536)) % 0.97/1.16 (step @p2540 :rule cong :premises (@p2539) :args (@t2085)) % 0.97/1.16 (step @p2541 :rule exists-elim :args ((= @t544 @t2085))) % 0.97/1.16 (step @p2542 :rule trans :premises (@p2541 @p2540)) % 0.97/1.16 (step @p2543 :rule cong :premises (@p2542) :args (@t545)) % 0.97/1.16 (step @p2544 :rule trans :premises (@p2543 @p2534)) % 0.97/1.16 (step @p2545 :rule cong :premises (@p2544 @p2533) :args (@t546)) % 0.97/1.16 (step @p2546 :rule cong :premises (@p2545) :args (@t547)) % 0.97/1.16 (step @p2547 :rule trans :premises (@p2546 @p2532)) % 0.97/1.16 (step @p2548 :rule refl :args (tptp.disjointsetsI1)) % 0.97/1.16 (step @p2549 :rule cong :premises (@p2548 @p2547) :args (@t548)) % 0.97/1.16 (step @p2550 :rule eq_resolve :premises (@p113 @p2549)) % 0.97/1.16 (step @p2551 :rule cong :premises (@p2550 @p2525) :args (@t2086)) % 0.97/1.16 (step @p2552 :rule refl :args ((tptp.in @t4 @t515))) % 0.97/1.16 (step @p2553 :rule cong :premises (@p505 @p2429) :args (@t1156)) % 0.97/1.16 (step @p2554 :rule trans :premises (@p2553 @p2552)) % 0.97/1.16 (step @p2555 :rule ho_cong :premises (@p984 @p2429)) % 0.97/1.16 (step @p2556 :rule cong :premises (@p2555 @p2554) :args ((= (_ @t5 @t1145) @t1156))) % 0.97/1.16 (step @p2557 :rule symm :premises (@p2556)) % 0.97/1.16 (step @p2558 :rule refl :args (@t516)) % 0.97/1.16 (step @p2559 :rule eq_resolve :premises (@p2558 @p2557)) % 0.97/1.16 (step @p2560 :rule ho_cong :premises (@p984 @p2446)) % 0.97/1.16 (step @p2561 :rule trans :premises (@p2560 @p2559)) % 0.97/1.16 (step @p2562 :rule cong :premises (@p2561) :args (@t2087)) % 0.97/1.16 (step @p2563 :rule nary_cong :premises (@p2562 @p2122) :args (@t2088)) % 0.97/1.16 (step @p2564 :rule cong :premises (@p2563) :args ((forall @t245 @t2088))) % 0.97/1.16 (step @p2565 :rule bool-impl-elim :args (@t516 @t6)) % 0.97/1.16 (step @p2566 :rule cong :premises (@p2565) :args (@t541)) % 0.97/1.16 (step @p2567 :rule trans :premises (@p2566 @p2564)) % 0.97/1.16 (step @p2568 :rule refl :args (tptp.binintersectER)) % 0.97/1.16 (step @p2569 :rule cong :premises (@p2568 @p2567) :args (@t542)) % 0.97/1.16 (step @p2570 :rule eq_resolve :premises (@p112 @p2569)) % 0.97/1.16 (step @p2571 :rule cong :premises (@p2570 @p2551) :args (@t2089)) % 0.97/1.16 (step @p2572 :rule cong :premises (@p2488) :args (@t2090)) % 0.97/1.16 (step @p2573 :rule nary_cong :premises (@p2572 @p2493) :args (@t2091)) % 0.97/1.16 (step @p2574 :rule cong :premises (@p2573) :args ((forall @t12 @t2091))) % 0.97/1.16 (step @p2575 :rule bool-impl-elim :args (@t2075 @t425)) % 0.97/1.16 (step @p2576 :rule cong :premises (@p2575) :args ((forall @t12 (=> @t2075 @t425)))) % 0.97/1.16 (step @p2577 :rule trans :premises (@p2576 @p2574)) % 0.97/1.16 (step @p2578 :rule cong :premises (@p2500 @p2501) :args (@t538)) % 0.97/1.16 (step @p2579 :rule cong :premises (@p2578) :args (@t539)) % 0.97/1.16 (step @p2580 :rule trans :premises (@p2579 @p2577)) % 0.97/1.16 (step @p2581 :rule refl :args (tptp.binintersectSubset3)) % 0.97/1.16 (step @p2582 :rule cong :premises (@p2581 @p2580) :args (@t540)) % 0.97/1.16 (step @p2583 :rule eq_resolve :premises (@p111 @p2582)) % 0.97/1.16 (step @p2584 :rule cong :premises (@p2583 @p2571) :args (@t2092)) % 0.97/1.16 (step @p2585 :rule nary_cong :premises (@p2380 @p2472) :args (@t2093)) % 0.97/1.16 (step @p2586 :rule cong :premises (@p2585) :args ((forall @t12 @t2093))) % 0.97/1.16 (step @p2587 :rule bool-impl-elim :args (@t420 @t2071)) % 0.97/1.16 (step @p2588 :rule cong :premises (@p2587) :args ((forall @t12 (=> @t420 @t2071)))) % 0.97/1.16 (step @p2589 :rule trans :premises (@p2588 @p2586)) % 0.97/1.16 (step @p2590 :rule cong :premises (@p2285 @p2479) :args (@t534)) % 0.97/1.16 (step @p2591 :rule cong :premises (@p2590) :args (@t535)) % 0.97/1.16 (step @p2592 :rule trans :premises (@p2591 @p2589)) % 0.97/1.16 (step @p2593 :rule refl :args (tptp.binintersectSubset2)) % 0.97/1.16 (step @p2594 :rule cong :premises (@p2593 @p2592) :args (@t536)) % 0.97/1.16 (step @p2595 :rule eq_resolve :premises (@p110 @p2594)) % 0.97/1.16 (step @p2596 :rule cong :premises (@p2595 @p2584) :args (@t2094)) % 0.97/1.16 (step @p2597 :rule refl :args ((tptp.subset @t515 @t2))) % 0.97/1.16 (step @p2598 :rule cong :premises (@p2429 @p677) :args (@t1158)) % 0.97/1.16 (step @p2599 :rule trans :premises (@p2598 @p2597)) % 0.97/1.16 (step @p2600 :rule ho_cong :premises (@p2512 @p677)) % 0.97/1.16 (step @p2601 :rule cong :premises (@p2600 @p2599) :args ((= (_ @t2079 @t2) @t1158))) % 0.97/1.16 (step @p2602 :rule symm :premises (@p2601)) % 0.97/1.16 (step @p2603 :rule refl :args (@t530)) % 0.97/1.16 (step @p2604 :rule eq_resolve :premises (@p2603 @p2602)) % 0.97/1.16 (step @p2605 :rule ho_cong :premises (@p2518 @p677)) % 0.97/1.16 (step @p2606 :rule trans :premises (@p2605 @p2604)) % 0.97/1.16 (step @p2607 :rule cong :premises (@p2606) :args (@t531)) % 0.97/1.16 (step @p2608 :rule refl :args (tptp.binintersectLsub)) % 0.97/1.16 (step @p2609 :rule cong :premises (@p2608 @p2607) :args (@t532)) % 0.97/1.16 (step @p2610 :rule eq_resolve :premises (@p109 @p2609)) % 0.97/1.16 (step @p2611 :rule cong :premises (@p2610 @p2596) :args (@t2095)) % 0.97/1.16 (step @p2612 :rule nary_cong :premises (@p2562 @p838) :args (@t2096)) % 0.97/1.16 (step @p2613 :rule cong :premises (@p2612) :args ((forall @t245 @t2096))) % 0.97/1.16 (step @p2614 :rule bool-impl-elim :args (@t516 @t7)) % 0.97/1.16 (step @p2615 :rule cong :premises (@p2614) :args (@t527)) % 0.97/1.16 (step @p2616 :rule trans :premises (@p2615 @p2613)) % 0.97/1.16 (step @p2617 :rule refl :args (tptp.binintersectEL)) % 0.97/1.16 (step @p2618 :rule cong :premises (@p2617 @p2616) :args (@t528)) % 0.97/1.16 (step @p2619 :rule eq_resolve :premises (@p108 @p2618)) % 0.97/1.16 (step @p2620 :rule cong :premises (@p2619 @p2611) :args (@t2097)) % 0.97/1.16 (step @p2621 :rule refl :args ((tptp.subset @t104 @t515))) % 0.97/1.16 (step @p2622 :rule refl :args (@t104)) % 0.97/1.16 (step @p2623 :rule cong :premises (@p2622 @p2429) :args (@t1159)) % 0.97/1.16 (step @p2624 :rule trans :premises (@p2623 @p2621)) % 0.97/1.16 (step @p2625 :rule refl :args (@t520)) % 0.97/1.16 (step @p2626 :rule ho_cong :premises (@p2625 @p2429)) % 0.97/1.16 (step @p2627 :rule cong :premises (@p2626 @p2624) :args ((= (_ @t520 @t1145) @t1159))) % 0.97/1.16 (step @p2628 :rule symm :premises (@p2627)) % 0.97/1.16 (step @p2629 :rule refl :args (@t521)) % 0.97/1.16 (step @p2630 :rule eq_resolve :premises (@p2629 @p2628)) % 0.97/1.16 (step @p2631 :rule ho_cong :premises (@p2625 @p2446)) % 0.97/1.16 (step @p2632 :rule trans :premises (@p2631 @p2630)) % 0.97/1.16 (step @p2633 :rule refl :args (@t1160)) % 0.97/1.16 (step @p2634 :rule refl :args (@t522)) % 0.97/1.16 (step @p2635 :rule cong :premises (@p2634 @p2633) :args ((= @t522 @t1160))) % 0.97/1.16 (step @p2636 :rule symm :premises (@p2635)) % 0.97/1.16 (step @p2637 :rule eq_resolve :premises (@p2634 @p2636)) % 0.97/1.16 (step @p2638 :rule cong :premises (@p2637) :args (@t2098)) % 0.97/1.16 (step @p2639 :rule refl :args (@t1161)) % 0.97/1.16 (step @p2640 :rule refl :args (@t524)) % 0.97/1.16 (step @p2641 :rule cong :premises (@p2640 @p2639) :args ((= @t524 @t1161))) % 0.97/1.16 (step @p2642 :rule symm :premises (@p2641)) % 0.97/1.16 (step @p2643 :rule eq_resolve :premises (@p2640 @p2642)) % 0.97/1.16 (step @p2644 :rule cong :premises (@p2643) :args (@t2099)) % 0.97/1.16 (step @p2645 :rule nary_cong :premises (@p2644 @p2638 @p2632) :args (@t2100)) % 0.97/1.16 (step @p2646 :rule cong :premises (@p2645) :args ((forall @t455 @t2100))) % 0.97/1.16 (step @p2647 :rule aci_norm :args ((= (or @t2099 (or @t2098 @t521)) @t2100))) % 0.97/1.16 (step @p2648 :rule bool-impl-elim :args (@t522 @t521)) % 0.97/1.16 (step @p2649 :rule refl :args (@t2099)) % 0.97/1.16 (step @p2650 :rule nary_cong :premises (@p2649 @p2648) :args ((or @t2099 @t523))) % 0.97/1.16 (step @p2651 :rule trans :premises (@p2650 @p2647)) % 0.97/1.16 (step @p2652 :rule bool-impl-elim :args (@t524 @t523)) % 0.97/1.16 (step @p2653 :rule trans :premises (@p2652 @p2651)) % 0.97/1.16 (step @p2654 :rule cong :premises (@p2653) :args (@t525)) % 0.97/1.16 (step @p2655 :rule trans :premises (@p2654 @p2646)) % 0.97/1.16 (step @p2656 :rule refl :args (tptp.binintersectSubset5)) % 0.97/1.16 (step @p2657 :rule cong :premises (@p2656 @p2655) :args (@t526)) % 0.97/1.16 (step @p2658 :rule eq_resolve :premises (@p107 @p2657)) % 0.97/1.16 (step @p2659 :rule cong :premises (@p2658 @p2620) :args (@t2101)) % 0.97/1.16 (step @p2660 :rule nary_cong :premises (@p839 @p2145 @p2561) :args (@t2102)) % 0.97/1.16 (step @p2661 :rule cong :premises (@p2660) :args ((forall @t245 @t2102))) % 0.97/1.16 (step @p2662 :rule aci_norm :args ((= (or @t197 (or @t435 @t516)) @t2102))) % 0.97/1.16 (step @p2663 :rule bool-impl-elim :args (@t6 @t516)) % 0.97/1.16 (step @p2664 :rule nary_cong :premises (@p1313 @p2663) :args ((or @t197 @t517))) % 0.97/1.16 (step @p2665 :rule trans :premises (@p2664 @p2662)) % 0.97/1.16 (step @p2666 :rule bool-impl-elim :args (@t7 @t517)) % 0.97/1.16 (step @p2667 :rule trans :premises (@p2666 @p2665)) % 0.97/1.16 (step @p2668 :rule cong :premises (@p2667) :args (@t518)) % 0.97/1.16 (step @p2669 :rule trans :premises (@p2668 @p2661)) % 0.97/1.16 (step @p2670 :rule refl :args (tptp.binintersectI)) % 0.97/1.16 (step @p2671 :rule cong :premises (@p2670 @p2669) :args (@t519)) % 0.97/1.16 (step @p2672 :rule eq_resolve :premises (@p106 @p2671)) % 0.97/1.16 (step @p2673 :rule cong :premises (@p2672 @p2659) :args (@t2103)) % 0.97/1.16 (step @p2674 :rule refl :args ((tptp.subset @t1 @t492))) % 0.97/1.16 (step @p2675 :rule cong :premises (@p2487 @p1710) :args (@t1162)) % 0.97/1.16 (step @p2676 :rule trans :premises (@p2675 @p2674)) % 0.97/1.16 (step @p2677 :rule refl :args (@t424)) % 0.97/1.16 (step @p2678 :rule ho_cong :premises (@p2677 @p1710)) % 0.97/1.16 (step @p2679 :rule cong :premises (@p2678 @p2676) :args ((= (_ @t424 @t1090) @t1162))) % 0.97/1.16 (step @p2680 :rule symm :premises (@p2679)) % 0.97/1.16 (step @p2681 :rule refl :args (@t511)) % 0.97/1.16 (step @p2682 :rule eq_resolve :premises (@p2681 @p2680)) % 0.97/1.16 (step @p2683 :rule ho_cong :premises (@p2677 @p1736)) % 0.97/1.16 (step @p2684 :rule trans :premises (@p2683 @p2682)) % 0.97/1.16 (step @p2685 :rule cong :premises (@p2684) :args (@t512)) % 0.97/1.16 (step @p2686 :rule refl :args (tptp.binunionRsub)) % 0.97/1.16 (step @p2687 :rule cong :premises (@p2686 @p2685) :args (@t513)) % 0.97/1.16 (step @p2688 :rule eq_resolve :premises (@p105 @p2687)) % 0.97/1.16 (step @p2689 :rule cong :premises (@p2688 @p2673) :args (@t2104)) % 0.97/1.16 (step @p2690 :rule refl :args ((tptp.subset @t2 @t492))) % 0.97/1.16 (step @p2691 :rule cong :premises (@p677 @p1710) :args (@t1163)) % 0.97/1.16 (step @p2692 :rule trans :premises (@p2691 @p2690)) % 0.97/1.16 (step @p2693 :rule ho_cong :premises (@p1469 @p1710)) % 0.97/1.16 (step @p2694 :rule cong :premises (@p2693 @p2692) :args ((= (_ @t419 @t1090) @t1163))) % 0.97/1.16 (step @p2695 :rule symm :premises (@p2694)) % 0.97/1.16 (step @p2696 :rule refl :args (@t508)) % 0.97/1.16 (step @p2697 :rule eq_resolve :premises (@p2696 @p2695)) % 0.97/1.16 (step @p2698 :rule ho_cong :premises (@p1469 @p1736)) % 0.97/1.16 (step @p2699 :rule trans :premises (@p2698 @p2697)) % 0.97/1.16 (step @p2700 :rule cong :premises (@p2699) :args (@t509)) % 0.97/1.16 (step @p2701 :rule refl :args (tptp.binunionLsub)) % 0.97/1.16 (step @p2702 :rule cong :premises (@p2701 @p2700) :args (@t510)) % 0.97/1.16 (step @p2703 :rule eq_resolve :premises (@p104 @p2702)) % 0.97/1.16 (step @p2704 :rule cong :premises (@p2703 @p2689) :args (@t2105)) % 0.97/1.16 (step @p2705 :rule refl :args ((tptp.in @t4 @t492))) % 0.97/1.16 (step @p2706 :rule cong :premises (@p505 @p1710) :args (@t1164)) % 0.97/1.16 (step @p2707 :rule trans :premises (@p2706 @p2705)) % 0.97/1.16 (step @p2708 :rule ho_cong :premises (@p984 @p1710)) % 0.97/1.16 (step @p2709 :rule cong :premises (@p2708 @p2707) :args ((= (_ @t5 @t1090) @t1164))) % 0.97/1.16 (step @p2710 :rule symm :premises (@p2709)) % 0.97/1.16 (step @p2711 :rule refl :args (@t493)) % 0.97/1.16 (step @p2712 :rule eq_resolve :premises (@p2711 @p2710)) % 0.97/1.16 (step @p2713 :rule ho_cong :premises (@p984 @p1736)) % 0.97/1.16 (step @p2714 :rule trans :premises (@p2713 @p2712)) % 0.97/1.16 (step @p2715 :rule cong :premises (@p2714) :args (@t2106)) % 0.97/1.16 (step @p2716 :rule nary_cong :premises (@p2715 @p838 @p2122) :args (@t2107)) % 0.97/1.16 (step @p2717 :rule cong :premises (@p2716) :args ((forall @t245 @t2107))) % 0.97/1.16 (step @p2718 :rule aci_norm :args ((= (or @t2106 @t505) @t2107))) % 0.97/1.16 (step @p2719 :rule bool-impl-elim :args (@t493 @t505)) % 0.97/1.16 (step @p2720 :rule trans :premises (@p2719 @p2718)) % 0.97/1.16 (step @p2721 :rule cong :premises (@p2720) :args (@t506)) % 0.97/1.16 (step @p2722 :rule trans :premises (@p2721 @p2717)) % 0.97/1.16 (step @p2723 :rule refl :args (tptp.binunionE)) % 0.97/1.16 (step @p2724 :rule cong :premises (@p2723 @p2722) :args (@t507)) % 0.97/1.16 (step @p2725 :rule eq_resolve :premises (@p103 @p2724)) % 0.97/1.16 (step @p2726 :rule cong :premises (@p2725 @p2704) :args (@t2108)) % 0.97/1.16 (step @p2727 :rule aci_norm :args ((= (and @t1133 true) @t1133))) % 0.97/1.16 (step @p2728 :rule nary_cong :premises (@p2204 @p2203) :args (@t2109)) % 0.97/1.16 (step @p2729 :rule trans :premises (@p2728 @p2727)) % 0.97/1.16 (step @p2730 :rule aci_norm :args ((= (and @t1034 true) @t1034))) % 0.97/1.16 (step @p2731 :rule nary_cong :premises (@p2210 @p2203) :args (@t2110)) % 0.97/1.16 (step @p2732 :rule trans :premises (@p2731 @p2730)) % 0.97/1.16 (step @p2733 :rule refl :args (@t1165)) % 0.97/1.16 (step @p2734 :rule nary_cong :premises (@p2733 @p2732 @p2729) :args (@t2111)) % 0.97/1.16 (step @p2735 :rule aci_norm :args ((= @t2112 @t2111))) % 0.97/1.16 (step @p2736 :rule trans :premises (@p2735 @p2734)) % 0.97/1.16 (step @p2737 :rule cong :premises (@p2736) :args ((forall @t245 @t2112))) % 0.97/1.16 (step @p2738 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2037 @t1165 @t2114 @t2113 @t173)) @t2112))) % 0.97/1.16 (step @p2739 :rule refl :args (@t2113)) % 0.97/1.16 (step @p2740 :rule refl :args (@t2114)) % 0.97/1.16 (step @p2741 :rule refl :args (@t1165)) % 0.97/1.16 (step @p2742 :rule nary_cong :premises (@p2225 @p2741 @p2740 @p2739 @p2217) :args (@t2115)) % 0.97/1.16 (step @p2743 :rule aci_norm :args ((= @t2116 @t2115))) % 0.97/1.16 (step @p2744 :rule trans :premises (@p2743 @p2742)) % 0.97/1.16 (step @p2745 :rule cong :premises (@p2744) :args (@t2117)) % 0.97/1.16 (step @p2746 :rule trans :premises (@p2745 @p2738)) % 0.97/1.16 (step @p2747 :rule cong :premises (@p2746) :args (@t2118)) % 0.97/1.16 (step @p2748 :rule quant-merge-prenex :args ((= @t2118 (forall @t502 @t2116)))) % 0.97/1.16 (step @p2749 :rule symm :premises (@p2748)) % 0.97/1.16 (step @p2750 :rule trans :premises (@p2749 @p2747)) % 0.97/1.16 (step @p2751 :rule trans :premises (@p2750 @p2737)) % 0.97/1.16 (step @p2752 :rule nary_cong :premises (@p2122 @p2232) :args (@t2043)) % 0.97/1.16 (step @p2753 :rule nary_cong :premises (@p838 @p2232) :args (@t2119)) % 0.97/1.16 (step @p2754 :rule nary_cong :premises (@p2715 @p2753 @p2752 @p2217) :args (@t2120)) % 0.97/1.16 (step @p2755 :rule cong :premises (@p2754) :args ((forall @t502 @t2120))) % 0.97/1.16 (step @p2756 :rule trans :premises (@p2755 @p2751)) % 0.97/1.16 (step @p2757 :rule aci_norm :args ((= (or @t2106 @t2121) @t2120))) % 0.97/1.16 (step @p2758 :rule aci_norm :args ((= (or @t2119 (or @t2043 @t173)) @t2121))) % 0.97/1.16 (step @p2759 :rule nary_cong :premises (@p2240 @p2217) :args ((or @t2044 @t173))) % 0.97/1.16 (step @p2760 :rule bool-impl-elim :args (@t498 @t173)) % 0.97/1.16 (step @p2761 :rule trans :premises (@p2760 @p2759)) % 0.97/1.16 (step @p2762 :rule bool-implies-de-morgan :args (@t7 @t173)) % 0.97/1.16 (step @p2763 :rule nary_cong :premises (@p2762 @p2761) :args ((or (not @t500) @t499))) % 0.97/1.16 (step @p2764 :rule trans :premises (@p2763 @p2758)) % 0.97/1.16 (step @p2765 :rule bool-impl-elim :args (@t500 @t499)) % 0.97/1.16 (step @p2766 :rule trans :premises (@p2765 @p2764)) % 0.97/1.16 (step @p2767 :rule refl :args (@t2106)) % 0.97/1.16 (step @p2768 :rule nary_cong :premises (@p2767 @p2766) :args ((or @t2106 @t501))) % 0.97/1.16 (step @p2769 :rule trans :premises (@p2768 @p2757)) % 0.97/1.16 (step @p2770 :rule bool-impl-elim :args (@t493 @t501)) % 0.97/1.16 (step @p2771 :rule trans :premises (@p2770 @p2769)) % 0.97/1.16 (step @p2772 :rule cong :premises (@p2771) :args (@t503)) % 0.97/1.16 (step @p2773 :rule trans :premises (@p2772 @p2756)) % 0.97/1.16 (step @p2774 :rule refl :args (tptp.binunionEcases)) % 0.97/1.16 (step @p2775 :rule cong :premises (@p2774 @p2773) :args (@t504)) % 0.97/1.16 (step @p2776 :rule eq_resolve :premises (@p102 @p2775)) % 0.97/1.16 (step @p2777 :rule cong :premises (@p2776 @p2726) :args (@t2122)) % 0.97/1.16 (step @p2778 :rule nary_cong :premises (@p2145 @p2714) :args (@t2123)) % 0.97/1.16 (step @p2779 :rule cong :premises (@p2778) :args ((forall @t245 @t2123))) % 0.97/1.16 (step @p2780 :rule bool-impl-elim :args (@t6 @t493)) % 0.97/1.16 (step @p2781 :rule cong :premises (@p2780) :args (@t496)) % 0.97/1.16 (step @p2782 :rule trans :premises (@p2781 @p2779)) % 0.97/1.16 (step @p2783 :rule refl :args (tptp.binunionIR)) % 0.97/1.16 (step @p2784 :rule cong :premises (@p2783 @p2782) :args (@t497)) % 0.97/1.16 (step @p2785 :rule eq_resolve :premises (@p101 @p2784)) % 0.97/1.16 (step @p2786 :rule cong :premises (@p2785 @p2777) :args (@t2124)) % 0.97/1.16 (step @p2787 :rule eq-symm :args (@t1129 tptp.upairset2IR)) % 0.97/1.16 (step @p2788 :rule refl :args (tptp.upairset2IR)) % 0.97/1.16 (step @p2789 :rule cong :premises (@p2095 @p2788) :args ((= @t302 tptp.upairset2IR))) % 0.97/1.16 (step @p2790 :rule trans :premises (@p2789 @p2787)) % 0.97/1.16 (step @p2791 :rule eq-symm :args (tptp.upairset2IR @t302)) % 0.97/1.16 (step @p2792 :rule trans :premises (@p2791 @p2790)) % 0.97/1.16 (step @p2793 :rule eq_resolve :premises (@p100 @p2792)) % 0.97/1.16 (step @p2794 :rule cong :premises (@p2793 @p2786) :args (@t2125)) % 0.97/1.16 (step @p2795 :rule nary_cong :premises (@p839 @p2714) :args (@t2126)) % 0.97/1.16 (step @p2796 :rule cong :premises (@p2795) :args ((forall @t245 @t2126))) % 0.97/1.16 (step @p2797 :rule bool-impl-elim :args (@t7 @t493)) % 0.97/1.16 (step @p2798 :rule cong :premises (@p2797) :args (@t494)) % 0.97/1.16 (step @p2799 :rule trans :premises (@p2798 @p2796)) % 0.97/1.16 (step @p2800 :rule refl :args (tptp.binunionIL)) % 0.97/1.16 (step @p2801 :rule cong :premises (@p2800 @p2799) :args (@t495)) % 0.97/1.16 (step @p2802 :rule eq_resolve :premises (@p99 @p2801)) % 0.97/1.16 (step @p2803 :rule cong :premises (@p2802 @p2794) :args (@t2127)) % 0.97/1.16 (step @p2804 :rule lambda-elim :args ((= @t2128 @t143))) % 0.97/1.16 (step @p2805 :rule cong :premises (@p1114 @p2804) :args (@t2129)) % 0.97/1.16 (step @p2806 :rule cong :premises (@p2805 @p1114) :args (@t2130)) % 0.97/1.16 (step @p2807 :rule cong :premises (@p2806) :args ((forall @t309 @t2130))) % 0.97/1.16 (step @p2808 :rule refl :args ((tptp.subset @t304 @t2))) % 0.97/1.16 (step @p2809 :rule refl :args (@t1757)) % 0.97/1.16 (step @p2810 :rule cong :premises (@p1153) :args (@t2128)) % 0.97/1.16 (step @p2811 :rule cong :premises (@p677 @p2810) :args (@t2129)) % 0.97/1.16 (step @p2812 :rule trans :premises (@p2811 @p2809)) % 0.97/1.16 (step @p2813 :rule cong :premises (@p2812 @p677) :args (@t2130)) % 0.97/1.16 (step @p2814 :rule trans :premises (@p2813 @p2808)) % 0.97/1.16 (step @p2815 :rule ho_cong :premises (@p1496 @p2812)) % 0.97/1.16 (step @p2816 :rule ho_cong :premises (@p2815 @p677)) % 0.97/1.16 (step @p2817 :rule cong :premises (@p2816 @p2814) :args ((= (_ (_ tptp.subset @t2129) @t2) @t2130))) % 0.97/1.16 (step @p2818 :rule symm :premises (@p2817)) % 0.97/1.16 (step @p2819 :rule refl :args (@t489)) % 0.97/1.16 (step @p2820 :rule eq_resolve :premises (@p2819 @p2818)) % 0.97/1.16 (step @p2821 :rule ho_cong :premises (@p1248 @p2810)) % 0.97/1.16 (step @p2822 :rule cong :premises (@p2821 @p2812) :args ((= (_ @t155 @t2128) @t2129))) % 0.97/1.16 (step @p2823 :rule symm :premises (@p2822)) % 0.97/1.16 (step @p2824 :rule refl :args (@t304)) % 0.97/1.16 (step @p2825 :rule eq_resolve :premises (@p2824 @p2823)) % 0.97/1.16 (step @p2826 :rule cong :premises (@p1157) :args (@t145)) % 0.97/1.16 (step @p2827 :rule ho_cong :premises (@p1248 @p2826)) % 0.97/1.16 (step @p2828 :rule trans :premises (@p2827 @p2825)) % 0.97/1.16 (step @p2829 :rule ho_cong :premises (@p1496 @p2828)) % 0.97/1.16 (step @p2830 :rule ho_cong :premises (@p2829 @p677)) % 0.97/1.16 (step @p2831 :rule trans :premises (@p2830 @p2820)) % 0.97/1.16 (step @p2832 :rule cong :premises (@p2831) :args (@t490)) % 0.97/1.16 (step @p2833 :rule trans :premises (@p2832 @p2807)) % 0.97/1.16 (step @p2834 :rule refl :args (tptp.sepSubset)) % 0.97/1.16 (step @p2835 :rule cong :premises (@p2834 @p2833) :args (@t491)) % 0.97/1.16 (step @p2836 :rule eq_resolve :premises (@p98 @p2835)) % 0.97/1.16 (step @p2837 :rule cong :premises (@p2836 @p2803) :args (@t2131)) % 0.97/1.16 (step @p2838 :rule refl :args (@t1118)) % 0.97/1.16 (step @p2839 :rule cong :premises (@p2805 @p2838) :args (@t2132)) % 0.97/1.16 (step @p2840 :rule cong :premises (@p2839) :args ((forall @t309 @t2132))) % 0.97/1.16 (step @p2841 :rule refl :args ((tptp.in @t304 @t33))) % 0.97/1.16 (step @p2842 :rule cong :premises (@p2812 @p1957) :args (@t2132)) % 0.97/1.16 (step @p2843 :rule trans :premises (@p2842 @p2841)) % 0.97/1.16 (step @p2844 :rule ho_cong :premises (@p681 @p2812)) % 0.97/1.16 (step @p2845 :rule ho_cong :premises (@p2844 @p1957)) % 0.97/1.16 (step @p2846 :rule cong :premises (@p2845 @p2843) :args ((= (_ (_ tptp.in @t2129) @t1118) @t2132))) % 0.97/1.16 (step @p2847 :rule symm :premises (@p2846)) % 0.97/1.16 (step @p2848 :rule refl :args (@t486)) % 0.97/1.16 (step @p2849 :rule eq_resolve :premises (@p2848 @p2847)) % 0.97/1.16 (step @p2850 :rule ho_cong :premises (@p681 @p2828)) % 0.97/1.16 (step @p2851 :rule ho_cong :premises (@p2850 @p1968)) % 0.97/1.16 (step @p2852 :rule trans :premises (@p2851 @p2849)) % 0.97/1.16 (step @p2853 :rule cong :premises (@p2852) :args (@t487)) % 0.97/1.16 (step @p2854 :rule trans :premises (@p2853 @p2840)) % 0.97/1.16 (step @p2855 :rule refl :args (tptp.sepInPowerset)) % 0.97/1.16 (step @p2856 :rule cong :premises (@p2855 @p2854) :args (@t488)) % 0.97/1.16 (step @p2857 :rule eq_resolve :premises (@p97 @p2856)) % 0.97/1.16 (step @p2858 :rule cong :premises (@p2857 @p2837) :args (@t2133)) % 0.97/1.16 (step @p2859 :rule refl :args ((tptp.subset @t33 @t391))) % 0.97/1.16 (step @p2860 :rule refl :args (@t1167)) % 0.97/1.16 (step @p2861 :rule cong :premises (@p1957 @p2860) :args (@t1168)) % 0.97/1.16 (step @p2862 :rule trans :premises (@p2861 @p2859)) % 0.97/1.16 (step @p2863 :rule ho_cong :premises (@p1496 @p1957)) % 0.97/1.16 (step @p2864 :rule ho_cong :premises (@p2863 @p2860)) % 0.97/1.16 (step @p2865 :rule cong :premises (@p2864 @p2862) :args ((= (_ (_ tptp.subset @t1118) @t1167) @t1168))) % 0.97/1.16 (step @p2866 :rule symm :premises (@p2865)) % 0.97/1.16 (step @p2867 :rule refl :args (@t483)) % 0.97/1.16 (step @p2868 :rule eq_resolve :premises (@p2867 @p2866)) % 0.97/1.16 (step @p2869 :rule refl :args (@t391)) % 0.97/1.16 (step @p2870 :rule cong :premises (@p2869 @p2860) :args ((= @t391 @t1167))) % 0.97/1.16 (step @p2871 :rule symm :premises (@p2870)) % 0.97/1.16 (step @p2872 :rule eq_resolve :premises (@p2869 @p2871)) % 0.97/1.16 (step @p2873 :rule ho_cong :premises (@p1496 @p1968)) % 0.97/1.16 (step @p2874 :rule ho_cong :premises (@p2873 @p2872)) % 0.97/1.16 (step @p2875 :rule trans :premises (@p2874 @p2868)) % 0.97/1.16 (step @p2876 :rule nary_cong :premises (@p2380 @p2875) :args (@t2134)) % 0.97/1.16 (step @p2877 :rule cong :premises (@p2876) :args ((forall @t12 @t2134))) % 0.97/1.16 (step @p2878 :rule bool-impl-elim :args (@t420 @t483)) % 0.97/1.16 (step @p2879 :rule cong :premises (@p2878) :args (@t484)) % 0.97/1.16 (step @p2880 :rule trans :premises (@p2879 @p2877)) % 0.97/1.16 (step @p2881 :rule refl :args (tptp.powersetsubset)) % 0.97/1.16 (step @p2882 :rule cong :premises (@p2881 @p2880) :args (@t485)) % 0.97/1.16 (step @p2883 :rule eq_resolve :premises (@p96 @p2882)) % 0.97/1.16 (step @p2884 :rule cong :premises (@p2883 @p2858) :args (@t2135)) % 0.97/1.16 (step @p2885 :rule refl :args ((tptp.in @t2 @t33))) % 0.97/1.16 (step @p2886 :rule cong :premises (@p677 @p1957) :args (@t1169)) % 0.97/1.16 (step @p2887 :rule trans :premises (@p2886 @p2885)) % 0.97/1.16 (step @p2888 :rule refl :args (@t466)) % 0.97/1.16 (step @p2889 :rule ho_cong :premises (@p2888 @p1957)) % 0.97/1.16 (step @p2890 :rule cong :premises (@p2889 @p2887) :args ((= (_ @t466 @t1118) @t1169))) % 0.97/1.16 (step @p2891 :rule symm :premises (@p2890)) % 0.97/1.16 (step @p2892 :rule refl :args (@t480)) % 0.97/1.16 (step @p2893 :rule eq_resolve :premises (@p2892 @p2891)) % 0.97/1.16 (step @p2894 :rule ho_cong :premises (@p2888 @p1968)) % 0.97/1.16 (step @p2895 :rule trans :premises (@p2894 @p2893)) % 0.97/1.16 (step @p2896 :rule cong :premises (@p2895) :args (@t481)) % 0.97/1.16 (step @p2897 :rule refl :args (tptp.inPowerset)) % 0.97/1.16 (step @p2898 :rule cong :premises (@p2897 @p2896) :args (@t482)) % 0.97/1.16 (step @p2899 :rule eq_resolve :premises (@p95 @p2898)) % 0.97/1.16 (step @p2900 :rule cong :premises (@p2899 @p2884) :args (@t2136)) % 0.97/1.16 (step @p2901 :rule refl :args ((tptp.in @t1 @t33))) % 0.97/1.16 (step @p2902 :rule cong :premises (@p2487 @p1957) :args (@t1170)) % 0.97/1.16 (step @p2903 :rule trans :premises (@p2902 @p2901)) % 0.97/1.16 (step @p2904 :rule refl :args (@t34)) % 0.97/1.16 (step @p2905 :rule ho_cong :premises (@p2904 @p1957)) % 0.97/1.16 (step @p2906 :rule cong :premises (@p2905 @p2903) :args ((= (_ @t34 @t1118) @t1170))) % 0.97/1.16 (step @p2907 :rule symm :premises (@p2906)) % 0.97/1.16 (step @p2908 :rule refl :args (@t35)) % 0.97/1.16 (step @p2909 :rule eq_resolve :premises (@p2908 @p2907)) % 0.97/1.16 (step @p2910 :rule ho_cong :premises (@p2904 @p1968)) % 0.97/1.16 (step @p2911 :rule trans :premises (@p2910 @p2909)) % 0.97/1.16 (step @p2912 :rule cong :premises (@p2911) :args (@t2137)) % 0.97/1.16 (step @p2913 :rule nary_cong :premises (@p2912 @p2493) :args (@t2138)) % 0.97/1.16 (step @p2914 :rule cong :premises (@p2913) :args ((forall @t12 @t2138))) % 0.97/1.16 (step @p2915 :rule bool-impl-elim :args (@t35 @t425)) % 0.97/1.16 (step @p2916 :rule cong :premises (@p2915) :args (@t478)) % 0.97/1.16 (step @p2917 :rule trans :premises (@p2916 @p2914)) % 0.97/1.16 (step @p2918 :rule refl :args (tptp.powersetE1)) % 0.97/1.16 (step @p2919 :rule cong :premises (@p2918 @p2917) :args (@t479)) % 0.97/1.16 (step @p2920 :rule eq_resolve :premises (@p94 @p2919)) % 0.97/1.16 (step @p2921 :rule cong :premises (@p2920 @p2900) :args (@t2139)) % 0.97/1.16 (step @p2922 :rule nary_cong :premises (@p2494 @p2911) :args (@t2140)) % 0.97/1.16 (step @p2923 :rule cong :premises (@p2922) :args ((forall @t12 @t2140))) % 0.97/1.16 (step @p2924 :rule bool-impl-elim :args (@t425 @t35)) % 0.97/1.16 (step @p2925 :rule cong :premises (@p2924) :args (@t476)) % 0.97/1.16 (step @p2926 :rule trans :premises (@p2925 @p2923)) % 0.97/1.16 (step @p2927 :rule refl :args (tptp.powersetI1)) % 0.97/1.16 (step @p2928 :rule cong :premises (@p2927 @p2926) :args (@t477)) % 0.97/1.16 (step @p2929 :rule eq_resolve :premises (@p93 @p2928)) % 0.97/1.16 (step @p2930 :rule cong :premises (@p2929 @p2921) :args (@t2141)) % 0.97/1.16 (step @p2931 :rule refl :args (@t196)) % 0.97/1.16 (step @p2932 :rule refl :args (@t1172)) % 0.97/1.16 (step @p2933 :rule refl :args (@t473)) % 0.97/1.16 (step @p2934 :rule cong :premises (@p2933 @p2932) :args ((= @t473 @t1172))) % 0.97/1.16 (step @p2935 :rule symm :premises (@p2934)) % 0.97/1.16 (step @p2936 :rule eq_resolve :premises (@p2933 @p2935)) % 0.97/1.16 (step @p2937 :rule cong :premises (@p2936) :args (@t2142)) % 0.97/1.16 (step @p2938 :rule nary_cong :premises (@p2937 @p2931) :args (@t2143)) % 0.97/1.16 (step @p2939 :rule cong :premises (@p2938) :args ((forall @t64 @t2143))) % 0.97/1.16 (step @p2940 :rule bool-impl-elim :args (@t473 @t196)) % 0.97/1.16 (step @p2941 :rule cong :premises (@p2940) :args (@t474)) % 0.97/1.16 (step @p2942 :rule trans :premises (@p2941 @p2939)) % 0.97/1.16 (step @p2943 :rule refl :args (tptp.subsetemptysetimpeq)) % 0.97/1.16 (step @p2944 :rule cong :premises (@p2943 @p2942) :args (@t475)) % 0.97/1.16 (step @p2945 :rule eq_resolve :premises (@p92 @p2944)) % 0.97/1.16 (step @p2946 :rule cong :premises (@p2945 @p2930) :args (@t2144)) % 0.97/1.16 (step @p2947 :rule refl :args (@t3)) % 0.97/1.16 (step @p2948 :rule nary_cong :premises (@p2380 @p2494 @p2947) :args (@t2145)) % 0.97/1.16 (step @p2949 :rule cong :premises (@p2948) :args ((forall @t12 @t2145))) % 0.97/1.16 (step @p2950 :rule aci_norm :args ((= (or @t439 (or @t2076 @t3)) @t2145))) % 0.97/1.16 (step @p2951 :rule bool-impl-elim :args (@t425 @t3)) % 0.97/1.16 (step @p2952 :rule refl :args (@t439)) % 0.97/1.16 (step @p2953 :rule nary_cong :premises (@p2952 @p2951) :args ((or @t439 @t470))) % 0.97/1.16 (step @p2954 :rule trans :premises (@p2953 @p2950)) % 0.97/1.16 (step @p2955 :rule bool-impl-elim :args (@t420 @t470)) % 0.97/1.16 (step @p2956 :rule trans :premises (@p2955 @p2954)) % 0.97/1.16 (step @p2957 :rule cong :premises (@p2956) :args (@t471)) % 0.97/1.16 (step @p2958 :rule trans :premises (@p2957 @p2949)) % 0.97/1.16 (step @p2959 :rule refl :args (tptp.setextsub)) % 0.97/1.16 (step @p2960 :rule cong :premises (@p2959 @p2958) :args (@t472)) % 0.97/1.16 (step @p2961 :rule eq_resolve :premises (@p91 @p2960)) % 0.97/1.16 (step @p2962 :rule cong :premises (@p2961 @p2946) :args (@t2146)) % 0.97/1.16 (step @p2963 :rule refl :args ((tptp.in @t2 @t391))) % 0.97/1.16 (step @p2964 :rule cong :premises (@p677 @p2860) :args (@t1173)) % 0.97/1.16 (step @p2965 :rule trans :premises (@p2964 @p2963)) % 0.97/1.16 (step @p2966 :rule ho_cong :premises (@p2888 @p2860)) % 0.97/1.16 (step @p2967 :rule cong :premises (@p2966 @p2965) :args ((= (_ @t466 @t1167) @t1173))) % 0.97/1.16 (step @p2968 :rule symm :premises (@p2967)) % 0.97/1.16 (step @p2969 :rule refl :args (@t467)) % 0.97/1.16 (step @p2970 :rule eq_resolve :premises (@p2969 @p2968)) % 0.97/1.16 (step @p2971 :rule ho_cong :premises (@p2888 @p2872)) % 0.97/1.16 (step @p2972 :rule trans :premises (@p2971 @p2970)) % 0.97/1.16 (step @p2973 :rule nary_cong :premises (@p2380 @p2972) :args (@t2147)) % 0.97/1.16 (step @p2974 :rule cong :premises (@p2973) :args ((forall @t12 @t2147))) % 0.97/1.16 (step @p2975 :rule bool-impl-elim :args (@t420 @t467)) % 0.97/1.16 (step @p2976 :rule cong :premises (@p2975) :args (@t468)) % 0.97/1.16 (step @p2977 :rule trans :premises (@p2976 @p2974)) % 0.97/1.16 (step @p2978 :rule refl :args (tptp.subset2powerset)) % 0.97/1.16 (step @p2979 :rule cong :premises (@p2978 @p2977) :args (@t469)) % 0.97/1.16 (step @p2980 :rule eq_resolve :premises (@p90 @p2979)) % 0.97/1.16 (step @p2981 :rule cong :premises (@p2980 @p2962) :args (@t2148)) % 0.97/1.16 (step @p2982 :rule refl :args ((tptp.subset @t2 @t462))) % 0.97/1.16 (step @p2983 :rule refl :args (@t1174)) % 0.97/1.16 (step @p2984 :rule cong :premises (@p677 @p2983) :args (@t1175)) % 0.97/1.16 (step @p2985 :rule trans :premises (@p2984 @p2982)) % 0.97/1.16 (step @p2986 :rule ho_cong :premises (@p1469 @p2983)) % 0.97/1.16 (step @p2987 :rule cong :premises (@p2986 @p2985) :args ((= (_ @t419 @t1174) @t1175))) % 0.97/1.16 (step @p2988 :rule symm :premises (@p2987)) % 0.97/1.16 (step @p2989 :rule refl :args (@t463)) % 0.97/1.16 (step @p2990 :rule eq_resolve :premises (@p2989 @p2988)) % 0.97/1.16 (step @p2991 :rule refl :args (@t462)) % 0.97/1.16 (step @p2992 :rule cong :premises (@p2991 @p2983) :args ((= @t462 @t1174))) % 0.97/1.16 (step @p2993 :rule symm :premises (@p2992)) % 0.97/1.16 (step @p2994 :rule eq_resolve :premises (@p2991 @p2993)) % 0.97/1.16 (step @p2995 :rule ho_cong :premises (@p1469 @p2994)) % 0.97/1.16 (step @p2996 :rule trans :premises (@p2995 @p2990)) % 0.97/1.16 (step @p2997 :rule nary_cong :premises (@p2380 @p2996) :args (@t2149)) % 0.97/1.16 (step @p2998 :rule cong :premises (@p2997) :args ((forall @t249 @t2149))) % 0.97/1.16 (step @p2999 :rule bool-impl-elim :args (@t420 @t463)) % 0.97/1.16 (step @p3000 :rule cong :premises (@p2999) :args (@t464)) % 0.97/1.16 (step @p3001 :rule trans :premises (@p3000 @p2998)) % 0.97/1.16 (step @p3002 :rule refl :args (tptp.setadjoinSub2)) % 0.97/1.16 (step @p3003 :rule cong :premises (@p3002 @p3001) :args (@t465)) % 0.97/1.16 (step @p3004 :rule eq_resolve :premises (@p89 @p3003)) % 0.97/1.16 (step @p3005 :rule cong :premises (@p3004 @p2981) :args (@t2150)) % 0.97/1.16 (step @p3006 :rule refl :args ((tptp.subset @t2 @t25))) % 0.97/1.16 (step @p3007 :rule refl :args (@t1176)) % 0.97/1.16 (step @p3008 :rule cong :premises (@p677 @p3007) :args (@t1177)) % 0.97/1.16 (step @p3009 :rule trans :premises (@p3008 @p3006)) % 0.97/1.16 (step @p3010 :rule ho_cong :premises (@p1469 @p3007)) % 0.97/1.16 (step @p3011 :rule cong :premises (@p3010 @p3009) :args ((= (_ @t419 @t1176) @t1177))) % 0.97/1.16 (step @p3012 :rule symm :premises (@p3011)) % 0.97/1.16 (step @p3013 :rule refl :args (@t458)) % 0.97/1.16 (step @p3014 :rule eq_resolve :premises (@p3013 @p3012)) % 0.97/1.16 (step @p3015 :rule refl :args (@t25)) % 0.97/1.16 (step @p3016 :rule cong :premises (@p3015 @p3007) :args ((= @t25 @t1176))) % 0.97/1.16 (step @p3017 :rule symm :premises (@p3016)) % 0.97/1.16 (step @p3018 :rule eq_resolve :premises (@p3015 @p3017)) % 0.97/1.16 (step @p3019 :rule ho_cong :premises (@p1469 @p3018)) % 0.97/1.16 (step @p3020 :rule trans :premises (@p3019 @p3014)) % 0.97/1.16 (step @p3021 :rule cong :premises (@p3020) :args (@t460)) % 0.97/1.16 (step @p3022 :rule refl :args (tptp.setadjoinSub)) % 0.97/1.16 (step @p3023 :rule cong :premises (@p3022 @p3021) :args (@t461)) % 0.97/1.16 (step @p3024 :rule eq_resolve :premises (@p88 @p3023)) % 0.97/1.16 (step @p3025 :rule cong :premises (@p3024 @p3005) :args (@t2151)) % 0.97/1.16 (step @p3026 :rule refl :args (@t1178)) % 0.97/1.16 (step @p3027 :rule refl :args (@t452)) % 0.97/1.16 (step @p3028 :rule cong :premises (@p3027 @p3026) :args ((= @t452 @t1178))) % 0.97/1.16 (step @p3029 :rule symm :premises (@p3028)) % 0.97/1.16 (step @p3030 :rule eq_resolve :premises (@p3027 @p3029)) % 0.97/1.16 (step @p3031 :rule refl :args (@t1179)) % 0.97/1.16 (step @p3032 :rule refl :args (@t453)) % 0.97/1.16 (step @p3033 :rule cong :premises (@p3032 @p3031) :args ((= @t453 @t1179))) % 0.97/1.16 (step @p3034 :rule symm :premises (@p3033)) % 0.97/1.16 (step @p3035 :rule eq_resolve :premises (@p3032 @p3034)) % 0.97/1.16 (step @p3036 :rule cong :premises (@p3035) :args (@t2152)) % 0.97/1.16 (step @p3037 :rule nary_cong :premises (@p2380 @p3036 @p3030) :args (@t2153)) % 0.97/1.16 (step @p3038 :rule cong :premises (@p3037) :args ((forall @t455 @t2153))) % 0.97/1.16 (step @p3039 :rule aci_norm :args ((= (or @t439 (or @t2152 @t452)) @t2153))) % 0.97/1.16 (step @p3040 :rule bool-impl-elim :args (@t453 @t452)) % 0.97/1.16 (step @p3041 :rule nary_cong :premises (@p2952 @p3040) :args ((or @t439 @t454))) % 0.97/1.16 (step @p3042 :rule trans :premises (@p3041 @p3039)) % 0.97/1.16 (step @p3043 :rule bool-impl-elim :args (@t420 @t454)) % 0.97/1.16 (step @p3044 :rule trans :premises (@p3043 @p3042)) % 0.97/1.16 (step @p3045 :rule cong :premises (@p3044) :args (@t456)) % 0.97/1.16 (step @p3046 :rule trans :premises (@p3045 @p3038)) % 0.97/1.16 (step @p3047 :rule refl :args (tptp.subsetTrans)) % 0.97/1.16 (step @p3048 :rule cong :premises (@p3047 @p3046) :args (@t457)) % 0.97/1.16 (step @p3049 :rule eq_resolve :premises (@p87 @p3048)) % 0.97/1.16 (step @p3050 :rule cong :premises (@p3049 @p3025) :args (@t2154)) % 0.97/1.16 (step @p3051 :rule refl :args (@t1180)) % 0.97/1.16 (step @p3052 :rule refl :args (@t449)) % 0.97/1.16 (step @p3053 :rule cong :premises (@p3052 @p3051) :args ((= @t449 @t1180))) % 0.97/1.16 (step @p3054 :rule symm :premises (@p3053)) % 0.97/1.16 (step @p3055 :rule eq_resolve :premises (@p3052 @p3054)) % 0.97/1.16 (step @p3056 :rule cong :premises (@p3055) :args (@t450)) % 0.97/1.16 (step @p3057 :rule refl :args (tptp.subsetRefl)) % 0.97/1.16 (step @p3058 :rule cong :premises (@p3057 @p3056) :args (@t451)) % 0.97/1.16 (step @p3059 :rule eq_resolve :premises (@p86 @p3058)) % 0.97/1.16 (step @p3060 :rule cong :premises (@p3059 @p3050) :args (@t2155)) % 0.97/1.16 (step @p3061 :rule bool-eq-true :args (tptp.notequalI2)) % 0.97/1.16 (step @p3062 :rule symm :premises (@p3061)) % 0.97/1.16 (step @p3063 :rule quant-unused-vars :args ((= (forall @t2156 true) true))) % 0.97/1.16 (step @p3064 :rule bool-or-taut2 :args (false @t1133 false false)) % 0.97/1.16 (step @p3065 :rule cong :premises (@p3064) :args ((forall @t2156 @t2157))) % 0.97/1.16 (step @p3066 :rule trans :premises (@p3065 @p3063)) % 0.97/1.16 (step @p3067 :rule aci_norm :args ((= (or @t1134 @t1133 false) @t2157))) % 0.97/1.16 (step @p3068 :rule eq-refl :args (@t1)) % 0.97/1.16 (step @p3069 :rule cong :premises (@p3068) :args (@t2158)) % 0.97/1.16 (step @p3070 :rule trans :premises (@p3069 @p434)) % 0.97/1.16 (step @p3071 :rule nary_cong :premises (@p2209 @p2204 @p3070) :args (@t2159)) % 0.97/1.16 (step @p3072 :rule trans :premises (@p3071 @p3067)) % 0.97/1.16 (step @p3073 :rule cong :premises (@p3072) :args ((forall @t2156 @t2159))) % 0.97/1.16 (step @p3074 :rule trans :premises (@p3073 @p3066)) % 0.97/1.16 (step @p3075 :rule quant-var-elim-eq :args ((= (forall @t64 @t2160) @t2159))) % 0.97/1.16 (step @p3076 :rule aci_norm :args ((= @t2161 @t2160))) % 0.97/1.16 (step @p3077 :rule cong :premises (@p3076) :args (@t2162)) % 0.97/1.16 (step @p3078 :rule trans :premises (@p3077 @p3075)) % 0.97/1.16 (step @p3079 :rule cong :premises (@p3078) :args (@t2163)) % 0.97/1.16 (step @p3080 :rule quant-merge-prenex :args ((= @t2163 @t2164))) % 0.97/1.16 (step @p3081 :rule symm :premises (@p3080)) % 0.97/1.16 (step @p3082 :rule quant_var_reordering :args ((= (forall @t245 @t2161) @t2164))) % 0.97/1.16 (step @p3083 :rule trans :premises (@p3082 @p3081 @p3079)) % 0.97/1.16 (step @p3084 :rule trans :premises (@p3083 @p3074)) % 0.97/1.16 (step @p3085 :rule refl :args (@t443)) % 0.97/1.16 (step @p3086 :rule nary_cong :premises (@p839 @p2122 @p3085) :args (@t2165)) % 0.97/1.16 (step @p3087 :rule cong :premises (@p3086) :args ((forall @t245 @t2165))) % 0.97/1.16 (step @p3088 :rule trans :premises (@p3087 @p3084)) % 0.97/1.16 (step @p3089 :rule aci_norm :args ((= (or @t197 (or @t6 @t443)) @t2165))) % 0.97/1.16 (step @p3090 :rule nary_cong :premises (@p2127 @p3085) :args ((or @t2018 @t443))) % 0.97/1.16 (step @p3091 :rule bool-impl-elim :args (@t435 @t443)) % 0.97/1.16 (step @p3092 :rule trans :premises (@p3091 @p3090)) % 0.97/1.16 (step @p3093 :rule nary_cong :premises (@p1313 @p3092) :args ((or @t197 @t446))) % 0.97/1.16 (step @p3094 :rule trans :premises (@p3093 @p3089)) % 0.97/1.16 (step @p3095 :rule bool-impl-elim :args (@t7 @t446)) % 0.97/1.16 (step @p3096 :rule trans :premises (@p3095 @p3094)) % 0.97/1.16 (step @p3097 :rule cong :premises (@p3096) :args (@t447)) % 0.97/1.16 (step @p3098 :rule trans :premises (@p3097 @p3088)) % 0.97/1.16 (step @p3099 :rule refl :args (tptp.notequalI2)) % 0.97/1.16 (step @p3100 :rule cong :premises (@p3099 @p3098) :args (@t448)) % 0.97/1.16 (step @p3101 :rule trans :premises (@p3100 @p3061)) % 0.97/1.16 (step @p3102 :rule eq_resolve :premises (@p85 @p3101)) % 0.97/1.16 (step @p3103 :rule eq_resolve :premises (@p3102 @p3062)) % 0.97/1.16 (step @p3104 :rule cong :premises (@p3103 @p3060) :args (@t2166)) % 0.97/1.16 (step @p3105 :rule aci_norm :args ((= (or @t1182 false) @t1182))) % 0.97/1.16 (step @p3106 :rule refl :args (@t1182)) % 0.97/1.16 (step @p3107 :rule nary_cong :premises (@p3106 @p3070) :args (@t2167)) % 0.97/1.16 (step @p3108 :rule trans :premises (@p3107 @p3105)) % 0.97/1.16 (step @p3109 :rule cong :premises (@p3108) :args ((forall @t41 @t2167))) % 0.97/1.16 (step @p3110 :rule quant-var-elim-eq :args ((= (forall @t64 @t2168) @t2167))) % 0.97/1.16 (step @p3111 :rule aci_norm :args ((= @t2169 @t2168))) % 0.97/1.16 (step @p3112 :rule cong :premises (@p3111) :args (@t2170)) % 0.97/1.16 (step @p3113 :rule trans :premises (@p3112 @p3110)) % 0.97/1.16 (step @p3114 :rule cong :premises (@p3113) :args (@t2171)) % 0.97/1.16 (step @p3115 :rule quant-merge-prenex :args ((= @t2171 @t2173))) % 0.97/1.16 (step @p3116 :rule symm :premises (@p3115)) % 0.97/1.16 (step @p3117 :rule quant_var_reordering :args ((= (forall @t12 @t2169) @t2173))) % 0.97/1.16 (step @p3118 :rule trans :premises (@p3117 @p3116 @p3114)) % 0.97/1.16 (step @p3119 :rule trans :premises (@p3118 @p3109)) % 0.97/1.16 (step @p3120 :rule nary_cong :premises (@p2272 @p3085) :args (@t2174)) % 0.97/1.16 (step @p3121 :rule cong :premises (@p3120) :args ((forall @t12 @t2174))) % 0.97/1.16 (step @p3122 :rule trans :premises (@p3121 @p3119)) % 0.97/1.16 (step @p3123 :rule bool-double-not-elim :args (@t420)) % 0.97/1.16 (step @p3124 :rule nary_cong :premises (@p3123 @p3085) :args ((or (not @t439) @t443))) % 0.97/1.16 (step @p3125 :rule bool-impl-elim :args (@t439 @t443)) % 0.97/1.16 (step @p3126 :rule trans :premises (@p3125 @p3124)) % 0.97/1.16 (step @p3127 :rule cong :premises (@p3126) :args (@t444)) % 0.97/1.16 (step @p3128 :rule trans :premises (@p3127 @p3122)) % 0.97/1.16 (step @p3129 :rule refl :args (tptp.notequalI1)) % 0.97/1.16 (step @p3130 :rule cong :premises (@p3129 @p3128) :args (@t445)) % 0.97/1.16 (step @p3131 :rule eq_resolve :premises (@p84 @p3130)) % 0.97/1.16 (step @p3132 :rule cong :premises (@p3131 @p3104) :args (@t2175)) % 0.97/1.16 (step @p3133 :rule nary_cong :premises (@p839 @p2122 @p2380) :args (@t2176)) % 0.97/1.16 (step @p3134 :rule cong :premises (@p3133) :args ((forall @t245 @t2176))) % 0.97/1.16 (step @p3135 :rule aci_norm :args ((= (or @t197 (or @t6 @t439)) @t2176))) % 0.97/1.16 (step @p3136 :rule nary_cong :premises (@p2127 @p2952) :args ((or @t2018 @t439))) % 0.97/1.16 (step @p3137 :rule bool-impl-elim :args (@t435 @t439)) % 0.97/1.16 (step @p3138 :rule trans :premises (@p3137 @p3136)) % 0.97/1.16 (step @p3139 :rule nary_cong :premises (@p1313 @p3138) :args ((or @t197 @t440))) % 0.97/1.16 (step @p3140 :rule trans :premises (@p3139 @p3135)) % 0.97/1.16 (step @p3141 :rule bool-impl-elim :args (@t7 @t440)) % 0.97/1.16 (step @p3142 :rule trans :premises (@p3141 @p3140)) % 0.97/1.16 (step @p3143 :rule cong :premises (@p3142) :args (@t441)) % 0.97/1.16 (step @p3144 :rule trans :premises (@p3143 @p3134)) % 0.97/1.16 (step @p3145 :rule refl :args (tptp.notsubsetI)) % 0.97/1.16 (step @p3146 :rule cong :premises (@p3145 @p3144) :args (@t442)) % 0.97/1.16 (step @p3147 :rule eq_resolve :premises (@p83 @p3146)) % 0.97/1.16 (step @p3148 :rule cong :premises (@p3147 @p3132) :args (@t2177)) % 0.97/1.16 (step @p3149 :rule nary_cong :premises (@p2380 @p2122 @p839) :args (@t2178)) % 0.97/1.16 (step @p3150 :rule cong :premises (@p3149) :args ((forall @t245 @t2178))) % 0.97/1.16 (step @p3151 :rule aci_norm :args ((= (or @t439 @t2056) @t2178))) % 0.97/1.16 (step @p3152 :rule nary_cong :premises (@p2952 @p2348) :args ((or @t439 @t436))) % 0.97/1.16 (step @p3153 :rule trans :premises (@p3152 @p3151)) % 0.97/1.16 (step @p3154 :rule bool-impl-elim :args (@t420 @t436)) % 0.97/1.16 (step @p3155 :rule trans :premises (@p3154 @p3153)) % 0.97/1.16 (step @p3156 :rule cong :premises (@p3155) :args (@t437)) % 0.97/1.16 (step @p3157 :rule trans :premises (@p3156 @p3150)) % 0.97/1.16 (step @p3158 :rule refl :args (tptp.subsetE2)) % 0.97/1.16 (step @p3159 :rule cong :premises (@p3158 @p3157) :args (@t438)) % 0.97/1.16 (step @p3160 :rule eq_resolve :premises (@p82 @p3159)) % 0.97/1.16 (step @p3161 :rule cong :premises (@p3160 @p3148) :args (@t2179)) % 0.97/1.16 (step @p3162 :rule nary_cong :premises (@p2380 @p839 @p2122) :args (@t2180)) % 0.97/1.16 (step @p3163 :rule cong :premises (@p3162) :args ((forall @t245 @t2180))) % 0.97/1.16 (step @p3164 :rule aci_norm :args ((= (or @t439 @t2060) @t2180))) % 0.97/1.16 (step @p3165 :rule nary_cong :premises (@p2952 @p2366) :args ((or @t439 @t191))) % 0.97/1.16 (step @p3166 :rule trans :premises (@p3165 @p3164)) % 0.97/1.16 (step @p3167 :rule bool-impl-elim :args (@t420 @t191)) % 0.97/1.16 (step @p3168 :rule trans :premises (@p3167 @p3166)) % 0.97/1.16 (step @p3169 :rule cong :premises (@p3168) :args (@t433)) % 0.97/1.16 (step @p3170 :rule trans :premises (@p3169 @p3163)) % 0.97/1.16 (step @p3171 :rule refl :args (tptp.subsetE)) % 0.97/1.16 (step @p3172 :rule cong :premises (@p3171 @p3170) :args (@t434)) % 0.97/1.16 (step @p3173 :rule eq_resolve :premises (@p81 @p3172)) % 0.97/1.16 (step @p3174 :rule cong :premises (@p3173 @p3161) :args (@t2181)) % 0.97/1.16 (step @p3175 :rule refl :args (@t1187)) % 0.97/1.16 (step @p3176 :rule refl :args (@t430)) % 0.97/1.16 (step @p3177 :rule cong :premises (@p3176 @p3175) :args ((= @t430 @t1187))) % 0.97/1.16 (step @p3178 :rule symm :premises (@p3177)) % 0.97/1.16 (step @p3179 :rule eq_resolve :premises (@p3176 @p3178)) % 0.97/1.16 (step @p3180 :rule cong :premises (@p3179) :args (@t431)) % 0.97/1.16 (step @p3181 :rule refl :args (tptp.emptysetsubset)) % 0.97/1.16 (step @p3182 :rule cong :premises (@p3181 @p3180) :args (@t432)) % 0.97/1.16 (step @p3183 :rule eq_resolve :premises (@p80 @p3182)) % 0.97/1.16 (step @p3184 :rule cong :premises (@p3183 @p3174) :args (@t2182)) % 0.97/1.16 (step @p3185 :rule eq-symm :args (@t1191 tptp.subsetI2)) % 0.97/1.16 (step @p3186 :rule refl :args (tptp.subsetI2)) % 0.97/1.16 (step @p3187 :rule refl :args (@t1190)) % 0.97/1.16 (step @p3188 :rule nary_cong :premises (@p3187 @p2272) :args (@t2183)) % 0.97/1.16 (step @p3189 :rule cong :premises (@p3188) :args ((forall @t12 @t2183))) % 0.97/1.16 (step @p3190 :rule bool-impl-elim :args (@t1189 @t420)) % 0.97/1.16 (step @p3191 :rule cong :premises (@p3190) :args ((forall @t12 (=> @t1189 @t420)))) % 0.97/1.16 (step @p3192 :rule trans :premises (@p3191 @p3189)) % 0.97/1.16 (step @p3193 :rule nary_cong :premises (@p839 @p2122) :args (@t2060)) % 0.97/1.16 (step @p3194 :rule cong :premises (@p3193) :args ((forall @t9 @t2060))) % 0.97/1.16 (step @p3195 :rule cong :premises (@p2366) :args (@t192)) % 0.97/1.16 (step @p3196 :rule trans :premises (@p3195 @p3194)) % 0.97/1.16 (step @p3197 :rule cong :premises (@p3196 @p2285) :args (@t421)) % 0.97/1.16 (step @p3198 :rule cong :premises (@p3197) :args (@t422)) % 0.97/1.16 (step @p3199 :rule trans :premises (@p3198 @p3192)) % 0.97/1.16 (step @p3200 :rule cong :premises (@p3199 @p3186) :args ((= @t422 tptp.subsetI2))) % 0.97/1.16 (step @p3201 :rule trans :premises (@p3200 @p3185)) % 0.97/1.16 (step @p3202 :rule eq-symm :args (tptp.subsetI2 @t422)) % 0.97/1.16 (step @p3203 :rule trans :premises (@p3202 @p3201)) % 0.97/1.16 (step @p3204 :rule eq_resolve :premises (@p79 @p3203)) % 0.97/1.16 (step @p3205 :rule cong :premises (@p3204 @p3184) :args (@t2184)) % 0.97/1.16 (step @p3206 :rule aci_norm :args ((= (or false @t1182) @t1182))) % 0.97/1.16 (step @p3207 :rule nary_cong :premises (@p3070 @p3106) :args (@t2185)) % 0.97/1.16 (step @p3208 :rule trans :premises (@p3207 @p3206)) % 0.97/1.16 (step @p3209 :rule cong :premises (@p3208) :args ((forall @t41 @t2185))) % 0.97/1.16 (step @p3210 :rule quant-var-elim-eq :args ((= (forall @t64 @t2186) @t2185))) % 0.97/1.16 (step @p3211 :rule aci_norm :args ((= @t2187 @t2186))) % 0.97/1.16 (step @p3212 :rule cong :premises (@p3211) :args (@t2188)) % 0.97/1.16 (step @p3213 :rule trans :premises (@p3212 @p3210)) % 0.97/1.16 (step @p3214 :rule cong :premises (@p3213) :args (@t2189)) % 0.97/1.16 (step @p3215 :rule quant-merge-prenex :args ((= @t2189 @t2190))) % 0.97/1.16 (step @p3216 :rule symm :premises (@p3215)) % 0.97/1.16 (step @p3217 :rule quant_var_reordering :args ((= (forall @t12 @t2187) @t2190))) % 0.97/1.16 (step @p3218 :rule trans :premises (@p3217 @p3216 @p3214)) % 0.97/1.16 (step @p3219 :rule trans :premises (@p3218 @p3209)) % 0.97/1.16 (step @p3220 :rule nary_cong :premises (@p3085 @p2272) :args (@t2191)) % 0.97/1.16 (step @p3221 :rule cong :premises (@p3220) :args ((forall @t12 @t2191))) % 0.97/1.16 (step @p3222 :rule trans :premises (@p3221 @p3219)) % 0.97/1.16 (step @p3223 :rule bool-impl-elim :args (@t3 @t420)) % 0.97/1.16 (step @p3224 :rule cong :premises (@p3223) :args (@t428)) % 0.97/1.16 (step @p3225 :rule trans :premises (@p3224 @p3222)) % 0.97/1.16 (step @p3226 :rule refl :args (tptp.eqimpsubset1)) % 0.97/1.16 (step @p3227 :rule cong :premises (@p3226 @p3225) :args (@t429)) % 0.97/1.16 (step @p3228 :rule eq_resolve :premises (@p78 @p3227)) % 0.97/1.16 (step @p3229 :rule cong :premises (@p3228 @p3205) :args (@t2192)) % 0.97/1.16 (step @p3230 :rule quant-var-elim-eq :args ((= (forall @t64 @t2193) @t2185))) % 0.97/1.16 (step @p3231 :rule aci_norm :args ((= @t2194 @t2193))) % 0.97/1.16 (step @p3232 :rule cong :premises (@p3231) :args (@t2195)) % 0.97/1.16 (step @p3233 :rule trans :premises (@p3232 @p3230)) % 0.97/1.16 (step @p3234 :rule cong :premises (@p3233) :args (@t2196)) % 0.97/1.16 (step @p3235 :rule quant-merge-prenex :args ((= @t2196 @t2197))) % 0.97/1.16 (step @p3236 :rule symm :premises (@p3235)) % 0.97/1.16 (step @p3237 :rule quant_var_reordering :args ((= (forall @t12 @t2194) @t2197))) % 0.97/1.16 (step @p3238 :rule trans :premises (@p3237 @p3236 @p3234)) % 0.97/1.16 (step @p3239 :rule trans :premises (@p3238 @p3209)) % 0.97/1.16 (step @p3240 :rule nary_cong :premises (@p3085 @p2493) :args (@t2198)) % 0.97/1.16 (step @p3241 :rule cong :premises (@p3240) :args ((forall @t12 @t2198))) % 0.97/1.16 (step @p3242 :rule trans :premises (@p3241 @p3239)) % 0.97/1.16 (step @p3243 :rule bool-impl-elim :args (@t3 @t425)) % 0.97/1.16 (step @p3244 :rule cong :premises (@p3243) :args (@t426)) % 0.97/1.16 (step @p3245 :rule trans :premises (@p3244 @p3242)) % 0.97/1.16 (step @p3246 :rule refl :args (tptp.eqimpsubset2)) % 0.97/1.16 (step @p3247 :rule cong :premises (@p3246 @p3245) :args (@t427)) % 0.97/1.16 (step @p3248 :rule eq_resolve :premises (@p77 @p3247)) % 0.97/1.16 (step @p3249 :rule cong :premises (@p3248 @p3229) :args (@t2199)) % 0.97/1.16 (step @p3250 :rule refl :args (tptp.subsetI1)) % 0.97/1.16 (step @p3251 :rule cong :premises (@p3250 @p3199) :args (@t423)) % 0.97/1.16 (step @p3252 :rule eq_resolve :premises (@p76 @p3251)) % 0.97/1.16 (step @p3253 :rule cong :premises (@p3252 @p3249) :args (@t2200)) % 0.97/1.16 (step @p3254 :rule aci_norm :args ((= (or false @t1199 @t1196) @t1200))) % 0.97/1.16 (step @p3255 :rule eq-symm :args (@t1193 @t1195)) % 0.97/1.16 (step @p3256 :rule aci_norm :args ((= @t2201 @t1198))) % 0.97/1.16 (step @p3257 :rule cong :premises (@p3256) :args (@t2202)) % 0.97/1.16 (step @p3258 :rule cong :premises (@p3257) :args (@t2203)) % 0.97/1.16 (step @p3259 :rule nary_cong :premises (@p3070 @p3258 @p3255) :args (@t2204)) % 0.97/1.16 (step @p3260 :rule trans :premises (@p3259 @p3254)) % 0.97/1.16 (step @p3261 :rule cong :premises (@p3260) :args ((forall @t1201 @t2204))) % 0.97/1.16 (step @p3262 :rule quant-var-elim-eq :args ((= (forall @t64 @t2207) @t2204))) % 0.97/1.16 (step @p3263 :rule aci_norm :args ((= @t2208 @t2207))) % 0.97/1.16 (step @p3264 :rule cong :premises (@p3263) :args (@t2209)) % 0.97/1.16 (step @p3265 :rule trans :premises (@p3264 @p3262)) % 0.97/1.16 (step @p3266 :rule cong :premises (@p3265) :args (@t2210)) % 0.97/1.16 (step @p3267 :rule quant-merge-prenex :args ((= @t2210 @t2211))) % 0.97/1.16 (step @p3268 :rule symm :premises (@p3267)) % 0.97/1.16 (step @p3269 :rule quant_var_reordering :args ((= (forall @t2212 @t2208) @t2211))) % 0.97/1.16 (step @p3270 :rule trans :premises (@p3269 @p3268 @p3266)) % 0.97/1.16 (step @p3271 :rule trans :premises (@p3270 @p3261)) % 0.97/1.16 (step @p3272 :rule aci_norm :args ((= @t2214 @t2208))) % 0.97/1.16 (step @p3273 :rule cong :premises (@p3272) :args (@t2215)) % 0.97/1.16 (step @p3274 :rule trans :premises (@p3273 @p3271)) % 0.97/1.16 (step @p3275 :rule quant-merge-prenex :args ((= (forall @t12 @t2217) @t2215))) % 0.97/1.16 (step @p3276 :rule alpha_equiv :args (@t2218 (@list @t1192 @t1194) (@list @t143 @t366))) % 0.97/1.16 (step @p3277 :rule nary_cong :premises (@p3085 @p3276) :args (@t2219)) % 0.97/1.16 (step @p3278 :rule quant-miniscope-or :args ((= @t2217 @t2219))) % 0.97/1.16 (step @p3279 :rule trans :premises (@p3278 @p3277)) % 0.97/1.16 (step @p3280 :rule symm :premises (@p3279)) % 0.97/1.16 (step @p3281 :rule cong :premises (@p3280) :args ((forall @t12 (or @t443 @t2223)))) % 0.97/1.16 (step @p3282 :rule trans :premises (@p3281 @p3275)) % 0.97/1.16 (step @p3283 :rule trans :premises (@p3282 @p3274)) % 0.97/1.16 (step @p3284 :rule bool-impl-elim :args (@t3 @t2223)) % 0.97/1.16 (step @p3285 :rule cong :premises (@p3284) :args ((forall @t12 (=> @t3 @t2223)))) % 0.97/1.16 (step @p3286 :rule trans :premises (@p3285 @p3283)) % 0.97/1.16 (step @p3287 :rule lambda-elim :args ((= @t2224 @t366))) % 0.97/1.16 (step @p3288 :rule refl :args (@t1)) % 0.97/1.16 (step @p3289 :rule cong :premises (@p3288 @p3287) :args (@t2225)) % 0.97/1.16 (step @p3290 :rule cong :premises (@p2805 @p3289) :args (@t2226)) % 0.97/1.16 (step @p3291 :rule refl :args (@t2222)) % 0.97/1.16 (step @p3292 :rule nary_cong :premises (@p3291 @p3290) :args (@t2227)) % 0.97/1.16 (step @p3293 :rule cong :premises (@p3292) :args ((forall @t376 @t2227))) % 0.97/1.16 (step @p3294 :rule refl :args ((tptp.dsetconstr @t1 @t368))) % 0.97/1.16 (step @p3295 :rule refl :args (@t1226)) % 0.97/1.16 (step @p3296 :rule cong :premises (@p3295) :args (@t2224)) % 0.97/1.16 (step @p3297 :rule cong :premises (@p2487 @p3296) :args (@t2225)) % 0.97/1.16 (step @p3298 :rule trans :premises (@p3297 @p3294)) % 0.97/1.16 (step @p3299 :rule refl :args (@t408)) % 0.97/1.16 (step @p3300 :rule ho_cong :premises (@p3299 @p3296)) % 0.97/1.16 (step @p3301 :rule cong :premises (@p3300 @p3298) :args ((= (_ @t408 @t2224) @t2225))) % 0.97/1.16 (step @p3302 :rule symm :premises (@p3301)) % 0.97/1.16 (step @p3303 :rule refl :args (@t409)) % 0.97/1.16 (step @p3304 :rule eq_resolve :premises (@p3303 @p3302)) % 0.97/1.16 (step @p3305 :rule refl :args (@t367)) % 0.97/1.16 (step @p3306 :rule cong :premises (@p3305 @p3295) :args ((= @t367 @t1226))) % 0.97/1.16 (step @p3307 :rule symm :premises (@p3306)) % 0.97/1.16 (step @p3308 :rule eq_resolve :premises (@p3305 @p3307)) % 0.97/1.16 (step @p3309 :rule cong :premises (@p3308) :args (@t368)) % 0.97/1.16 (step @p3310 :rule ho_cong :premises (@p3299 @p3309)) % 0.97/1.16 (step @p3311 :rule trans :premises (@p3310 @p3304)) % 0.97/1.16 (step @p3312 :rule cong :premises (@p2828 @p3311) :args (@t410)) % 0.97/1.16 (step @p3313 :rule refl :args (@t2222)) % 0.97/1.16 (step @p3314 :rule nary_cong :premises (@p3313 @p3312) :args (@t2228)) % 0.97/1.16 (step @p3315 :rule cong :premises (@p3314) :args ((forall @t376 @t2228))) % 0.97/1.16 (step @p3316 :rule trans :premises (@p3315 @p3293)) % 0.97/1.16 (step @p3317 :rule bool-impl-elim :args (@t2221 @t410)) % 0.97/1.16 (step @p3318 :rule cong :premises (@p3317) :args ((forall @t376 (=> @t2221 @t410)))) % 0.97/1.16 (step @p3319 :rule trans :premises (@p3318 @p3316)) % 0.97/1.16 (step @p3320 :rule refl :args (@t410)) % 0.97/1.16 (step @p3321 :rule refl :args (@t2220)) % 0.97/1.16 (step @p3322 :rule refl :args (@t1134)) % 0.97/1.16 (step @p3323 :rule nary_cong :premises (@p839 @p3322 @p3321) :args (@t2229)) % 0.97/1.16 (step @p3324 :rule cong :premises (@p3323) :args ((forall @t9 @t2229))) % 0.97/1.16 (step @p3325 :rule aci_norm :args ((= (or @t197 @t2230) @t2229))) % 0.97/1.16 (step @p3326 :rule bool-impl-elim :args (@t7 @t2230)) % 0.97/1.16 (step @p3327 :rule trans :premises (@p3326 @p3325)) % 0.97/1.16 (step @p3328 :rule cong :premises (@p3327) :args ((forall @t9 (=> @t7 @t2230)))) % 0.97/1.16 (step @p3329 :rule trans :premises (@p3328 @p3324)) % 0.97/1.16 (step @p3330 :rule aci_norm :args ((= (or @t1134 false @t2220) @t2230))) % 0.97/1.16 (step @p3331 :rule refl :args (@t2220)) % 0.97/1.16 (step @p3332 :rule eq-refl :args (@t4)) % 0.97/1.16 (step @p3333 :rule cong :premises (@p3332) :args (@t2231)) % 0.97/1.16 (step @p3334 :rule trans :premises (@p3333 @p434)) % 0.97/1.16 (step @p3335 :rule nary_cong :premises (@p2209 @p3334 @p3331) :args (@t2232)) % 0.97/1.16 (step @p3336 :rule trans :premises (@p3335 @p3330)) % 0.97/1.16 (step @p3337 :rule quant-var-elim-eq :args ((= (forall @t70 (or (not @t22) @t1895 @t282 @t2233)) @t2232))) % 0.97/1.16 (step @p3338 :rule refl :args (@t2233)) % 0.97/1.16 (step @p3339 :rule refl :args (@t1895)) % 0.97/1.16 (step @p3340 :rule eq-symm :args (@t4 @t19)) % 0.97/1.16 (step @p3341 :rule cong :premises (@p3340) :args (@t282)) % 0.97/1.16 (step @p3342 :rule nary_cong :premises (@p3341 @p3339 @p594 @p3338) :args (@t2234)) % 0.97/1.16 (step @p3343 :rule aci_norm :args ((= @t2235 @t2234))) % 0.97/1.16 (step @p3344 :rule trans :premises (@p3343 @p3342)) % 0.97/1.16 (step @p3345 :rule cong :premises (@p3344) :args ((forall @t70 @t2235))) % 0.97/1.16 (step @p3346 :rule trans :premises (@p3345 @p3337)) % 0.97/1.16 (step @p3347 :rule trans :premises (@p3346 @p3336)) % 0.97/1.16 (step @p3348 :rule refl :args (@t1204)) % 0.97/1.16 (step @p3349 :rule refl :args (@t371)) % 0.97/1.16 (step @p3350 :rule cong :premises (@p3349 @p3348) :args ((= @t371 @t1204))) % 0.97/1.16 (step @p3351 :rule symm :premises (@p3350)) % 0.97/1.16 (step @p3352 :rule eq_resolve :premises (@p3349 @p3351)) % 0.97/1.16 (step @p3353 :rule cong :premises (@p1157 @p3352) :args (@t372)) % 0.97/1.16 (step @p3354 :rule nary_cong :premises (@p1599 @p594 @p3353) :args (@t2236)) % 0.97/1.16 (step @p3355 :rule cong :premises (@p3354) :args ((forall @t70 @t2236))) % 0.97/1.16 (step @p3356 :rule trans :premises (@p3355 @p3347)) % 0.97/1.16 (step @p3357 :rule aci_norm :args ((= (or @t1904 @t2237) @t2236))) % 0.97/1.16 (step @p3358 :rule bool-impl-elim :args (@t129 @t372)) % 0.97/1.16 (step @p3359 :rule refl :args (@t1904)) % 0.97/1.16 (step @p3360 :rule nary_cong :premises (@p3359 @p3358) :args ((or @t1904 @t373))) % 0.97/1.16 (step @p3361 :rule trans :premises (@p3360 @p3357)) % 0.97/1.16 (step @p3362 :rule bool-impl-elim :args (@t352 @t373)) % 0.97/1.16 (step @p3363 :rule trans :premises (@p3362 @p3361)) % 0.97/1.16 (step @p3364 :rule cong :premises (@p3363) :args (@t411)) % 0.97/1.16 (step @p3365 :rule trans :premises (@p3364 @p3356)) % 0.97/1.16 (step @p3366 :rule cong :premises (@p1226 @p3365) :args (@t412)) % 0.97/1.16 (step @p3367 :rule cong :premises (@p3366) :args (@t413)) % 0.97/1.16 (step @p3368 :rule trans :premises (@p3367 @p3329)) % 0.97/1.16 (step @p3369 :rule cong :premises (@p3368 @p3320) :args (@t414)) % 0.97/1.16 (step @p3370 :rule cong :premises (@p3369) :args (@t415)) % 0.97/1.16 (step @p3371 :rule trans :premises (@p3370 @p3319)) % 0.97/1.16 (step @p3372 :rule refl :args (@t3)) % 0.97/1.16 (step @p3373 :rule cong :premises (@p3372 @p3371) :args (@t416)) % 0.97/1.16 (step @p3374 :rule cong :premises (@p3373) :args (@t417)) % 0.97/1.16 (step @p3375 :rule trans :premises (@p3374 @p3286)) % 0.97/1.16 (step @p3376 :rule refl :args (tptp.dsetconstr__Cong)) % 0.97/1.16 (step @p3377 :rule cong :premises (@p3376 @p3375) :args (@t418)) % 0.97/1.16 (step @p3378 :rule eq_resolve :premises (@p75 @p3377)) % 0.97/1.16 (step @p3379 :rule cong :premises (@p3378 @p3253) :args (@t2238)) % 0.97/1.16 (step @p3380 :rule eq-symm :args (@t1203 @t19)) % 0.97/1.16 (step @p3381 :rule refl :args (@t1205)) % 0.97/1.16 (step @p3382 :rule nary_cong :premises (@p3381 @p3380) :args (@t2239)) % 0.97/1.16 (step @p3383 :rule cong :premises (@p3382) :args (@t2240)) % 0.97/1.16 (step @p3384 :rule cong :premises (@p3383) :args (@t2241)) % 0.97/1.16 (step @p3385 :rule refl :args (@t1206)) % 0.97/1.16 (step @p3386 :rule eq-symm :args (@t1207 @t19)) % 0.97/1.16 (step @p3387 :rule refl :args (@t1049)) % 0.97/1.16 (step @p3388 :rule nary_cong :premises (@p3387 @p3386) :args (@t2242)) % 0.97/1.16 (step @p3389 :rule cong :premises (@p3388) :args (@t2243)) % 0.97/1.16 (step @p3390 :rule cong :premises (@p3389) :args (@t2244)) % 0.97/1.16 (step @p3391 :rule refl :args (@t1208)) % 0.97/1.16 (step @p3392 :rule refl :args (@t1210)) % 0.97/1.16 (step @p3393 :rule refl :args (@t1213)) % 0.97/1.16 (step @p3394 :rule nary_cong :premises (@p3393 @p3392 @p3391 @p3390 @p3385 @p3384) :args (@t2245)) % 0.97/1.16 (step @p3395 :rule aci_norm :args ((= @t2248 @t2245))) % 0.97/1.16 (step @p3396 :rule trans :premises (@p3395 @p3394)) % 0.97/1.16 (step @p3397 :rule cong :premises (@p3396) :args (@t2249)) % 0.97/1.16 (step @p3398 :rule quant-merge-prenex :args ((= (forall @t376 @t2250) @t2249))) % 0.97/1.16 (step @p3399 :rule refl :args (@t1210)) % 0.97/1.16 (step @p3400 :rule alpha_equiv :args (@t2251 (@list @t1203) @t1631)) % 0.97/1.16 (step @p3401 :rule alpha_equiv :args (@t2252 (@list @t1207) @t1631)) % 0.97/1.16 (step @p3402 :rule refl :args (@t1213)) % 0.97/1.16 (step @p3403 :rule nary_cong :premises (@p3402 @p3401 @p3400 @p3399) :args (@t2253)) % 0.97/1.16 (step @p3404 :rule quant-miniscope-or :args ((= @t2250 @t2253))) % 0.97/1.16 (step @p3405 :rule trans :premises (@p3404 @p3403)) % 0.97/1.16 (step @p3406 :rule symm :premises (@p3405)) % 0.97/1.16 (step @p3407 :rule cong :premises (@p3406) :args ((forall @t376 (or @t1213 @t1231 @t1227 @t1210)))) % 0.97/1.16 (step @p3408 :rule trans :premises (@p3407 @p3398)) % 0.97/1.16 (step @p3409 :rule trans :premises (@p3408 @p3397)) % 0.97/1.16 (step @p3410 :rule cong :premises (@p3287) :args (@t2254)) % 0.97/1.16 (step @p3411 :rule cong :premises (@p2804) :args (@t2255)) % 0.97/1.16 (step @p3412 :rule cong :premises (@p3411 @p3410) :args (@t2256)) % 0.97/1.16 (step @p3413 :rule refl :args (@t1227)) % 0.97/1.16 (step @p3414 :rule refl :args (@t1231)) % 0.97/1.16 (step @p3415 :rule nary_cong :premises (@p3393 @p3414 @p3413 @p3412) :args (@t2257)) % 0.97/1.16 (step @p3416 :rule cong :premises (@p3415) :args ((forall @t376 @t2257))) % 0.97/1.16 (step @p3417 :rule trans :premises (@p3416 @p3409)) % 0.97/1.16 (step @p3418 :rule refl :args ((tptp.descr @t368))) % 0.97/1.16 (step @p3419 :rule cong :premises (@p3296) :args (@t2254)) % 0.97/1.16 (step @p3420 :rule trans :premises (@p3419 @p3418)) % 0.97/1.16 (step @p3421 :rule refl :args (tptp.descr)) % 0.97/1.16 (step @p3422 :rule ho_cong :premises (@p3421 @p3296)) % 0.97/1.16 (step @p3423 :rule cong :premises (@p3422 @p3420) :args ((= (_ tptp.descr @t2224) @t2254))) % 0.97/1.16 (step @p3424 :rule symm :premises (@p3423)) % 0.97/1.16 (step @p3425 :rule refl :args (@t401)) % 0.97/1.16 (step @p3426 :rule eq_resolve :premises (@p3425 @p3424)) % 0.97/1.16 (step @p3427 :rule ho_cong :premises (@p3421 @p3309)) % 0.97/1.16 (step @p3428 :rule trans :premises (@p3427 @p3426)) % 0.97/1.16 (step @p3429 :rule refl :args ((tptp.descr @t145))) % 0.97/1.16 (step @p3430 :rule cong :premises (@p2810) :args (@t2255)) % 0.97/1.16 (step @p3431 :rule trans :premises (@p3430 @p3429)) % 0.97/1.16 (step @p3432 :rule ho_cong :premises (@p3421 @p2810)) % 0.97/1.16 (step @p3433 :rule cong :premises (@p3432 @p3431) :args ((= (_ tptp.descr @t2128) @t2255))) % 0.97/1.16 (step @p3434 :rule symm :premises (@p3433)) % 0.97/1.16 (step @p3435 :rule refl :args (@t146)) % 0.97/1.16 (step @p3436 :rule eq_resolve :premises (@p3435 @p3434)) % 0.97/1.16 (step @p3437 :rule ho_cong :premises (@p3421 @p2826)) % 0.97/1.16 (step @p3438 :rule trans :premises (@p3437 @p3436)) % 0.97/1.16 (step @p3439 :rule cong :premises (@p3438 @p3428) :args (@t402)) % 0.97/1.16 (step @p3440 :rule refl :args (@t1227)) % 0.97/1.16 (step @p3441 :rule refl :args (@t1231)) % 0.97/1.16 (step @p3442 :rule nary_cong :premises (@p3402 @p3441 @p3440 @p3439) :args (@t2258)) % 0.97/1.16 (step @p3443 :rule cong :premises (@p3442) :args ((forall @t376 @t2258))) % 0.97/1.16 (step @p3444 :rule trans :premises (@p3443 @p3417)) % 0.97/1.16 (step @p3445 :rule aci_norm :args ((= (or @t1213 @t2259) @t2258))) % 0.97/1.16 (step @p3446 :rule aci_norm :args ((= (or @t1231 (or @t1227 @t402)) @t2259))) % 0.97/1.16 (step @p3447 :rule refl :args (@t402)) % 0.97/1.16 (step @p3448 :rule bool-double-not-elim :args (@t1227)) % 0.97/1.16 (step @p3449 :rule nary_cong :premises (@p3448 @p3447) :args ((or (not @t1228) @t402))) % 0.97/1.16 (step @p3450 :rule bool-impl-elim :args (@t1228 @t402)) % 0.97/1.16 (step @p3451 :rule trans :premises (@p3450 @p3449)) % 0.97/1.16 (step @p3452 :rule nary_cong :premises (@p3441 @p3451) :args ((or @t1231 @t2260))) % 0.97/1.16 (step @p3453 :rule trans :premises (@p3452 @p3446)) % 0.97/1.16 (step @p3454 :rule refl :args (@t2260)) % 0.97/1.16 (step @p3455 :rule bool-double-not-elim :args (@t1231)) % 0.97/1.16 (step @p3456 :rule nary_cong :premises (@p3455 @p3454) :args ((or @t2261 @t2260))) % 0.97/1.16 (step @p3457 :rule bool-impl-elim :args (@t1232 @t2260)) % 0.97/1.16 (step @p3458 :rule trans :premises (@p3457 @p3456)) % 0.97/1.16 (step @p3459 :rule trans :premises (@p3458 @p3453)) % 0.97/1.16 (step @p3460 :rule nary_cong :premises (@p3402 @p3459) :args ((or @t1213 @t2262))) % 0.97/1.16 (step @p3461 :rule trans :premises (@p3460 @p3445)) % 0.97/1.16 (step @p3462 :rule bool-impl-elim :args (@t1212 @t2262)) % 0.97/1.16 (step @p3463 :rule trans :premises (@p3462 @p3461)) % 0.97/1.16 (step @p3464 :rule cong :premises (@p3463) :args ((forall @t376 (=> @t1212 @t2262)))) % 0.97/1.16 (step @p3465 :rule trans :premises (@p3464 @p3444)) % 0.97/1.16 (step @p3466 :rule refl :args (@t402)) % 0.97/1.16 (step @p3467 :rule refl :args (@t1225)) % 0.97/1.16 (step @p3468 :rule cong :premises (@p3308) :args (@t2263)) % 0.97/1.16 (step @p3469 :rule nary_cong :premises (@p3468 @p3467) :args (@t2264)) % 0.97/1.16 (step @p3470 :rule cong :premises (@p3469) :args ((forall @t9 @t2264))) % 0.97/1.16 (step @p3471 :rule cong :premises (@p3352) :args (@t2265)) % 0.97/1.16 (step @p3472 :rule nary_cong :premises (@p3471 @p1072) :args (@t2266)) % 0.97/1.16 (step @p3473 :rule cong :premises (@p3472) :args ((forall @t70 @t2266))) % 0.97/1.16 (step @p3474 :rule beta-reduce :args ((= @t2267 @t371))) % 0.97/1.16 (step @p3475 :rule cong :premises (@p3474) :args (@t2268)) % 0.97/1.16 (step @p3476 :rule nary_cong :premises (@p3475 @p628) :args (@t2269)) % 0.97/1.16 (step @p3477 :rule cong :premises (@p3476) :args (@t2270)) % 0.97/1.16 (step @p3478 :rule trans :premises (@p3477 @p3473)) % 0.97/1.16 (step @p3479 :rule cong :premises (@p3478) :args (@t2271)) % 0.97/1.16 (step @p3480 :rule beta-reduce :args ((= @t2272 @t367))) % 0.97/1.16 (step @p3481 :rule cong :premises (@p3480) :args (@t2273)) % 0.97/1.16 (step @p3482 :rule nary_cong :premises (@p3481 @p3479) :args (@t2274)) % 0.97/1.16 (step @p3483 :rule cong :premises (@p3482) :args (@t2275)) % 0.97/1.16 (step @p3484 :rule trans :premises (@p3483 @p3470)) % 0.97/1.16 (step @p3485 :rule cong :premises (@p3484) :args (@t2276)) % 0.97/1.16 (step @p3486 :rule beta-reduce :args ((= @t2278 @t2276))) % 0.97/1.16 (step @p3487 :rule trans :premises (@p3486 @p3485)) % 0.97/1.16 (step @p3488 :rule cong :premises (@p3487 @p3466) :args (@t2279)) % 0.97/1.16 (step @p3489 :rule refl :args (@t1230)) % 0.97/1.16 (step @p3490 :rule nary_cong :premises (@p1158 @p3489) :args (@t2280)) % 0.97/1.16 (step @p3491 :rule cong :premises (@p3490) :args ((forall @t9 @t2280))) % 0.97/1.16 (step @p3492 :rule nary_cong :premises (@p1195 @p1072) :args (@t1789)) % 0.97/1.16 (step @p3493 :rule cong :premises (@p3492) :args ((forall @t70 @t1789))) % 0.97/1.16 (step @p3494 :rule beta-reduce :args ((= @t2281 @t153))) % 0.97/1.16 (step @p3495 :rule cong :premises (@p3494) :args (@t2282)) % 0.97/1.16 (step @p3496 :rule nary_cong :premises (@p3495 @p628) :args (@t2283)) % 0.97/1.16 (step @p3497 :rule cong :premises (@p3496) :args (@t2284)) % 0.97/1.16 (step @p3498 :rule trans :premises (@p3497 @p3493)) % 0.97/1.16 (step @p3499 :rule cong :premises (@p3498) :args (@t2285)) % 0.97/1.16 (step @p3500 :rule beta-reduce :args ((= @t2286 @t144))) % 0.97/1.16 (step @p3501 :rule cong :premises (@p3500) :args (@t2287)) % 0.97/1.16 (step @p3502 :rule nary_cong :premises (@p3501 @p3499) :args (@t2288)) % 0.97/1.16 (step @p3503 :rule cong :premises (@p3502) :args (@t2289)) % 0.97/1.16 (step @p3504 :rule trans :premises (@p3503 @p3491)) % 0.97/1.16 (step @p3505 :rule cong :premises (@p3504) :args (@t2290)) % 0.97/1.16 (step @p3506 :rule beta-reduce :args ((= @t2291 @t2290))) % 0.97/1.16 (step @p3507 :rule trans :premises (@p3506 @p3505)) % 0.97/1.16 (step @p3508 :rule cong :premises (@p3507 @p3488) :args (@t2292)) % 0.97/1.16 (step @p3509 :rule aci_norm :args ((= (or false @t1211) @t1211))) % 0.97/1.16 (step @p3510 :rule refl :args (@t1211)) % 0.97/1.16 (step @p3511 :rule nary_cong :premises (@p569 @p3510) :args (@t2293)) % 0.97/1.16 (step @p3512 :rule trans :premises (@p3511 @p3509)) % 0.97/1.16 (step @p3513 :rule cong :premises (@p3512) :args ((forall @t70 @t2293))) % 0.97/1.16 (step @p3514 :rule quant-var-elim-eq :args ((= (forall @t9 @t2294) @t2293))) % 0.97/1.16 (step @p3515 :rule aci_norm :args ((= @t2295 @t2294))) % 0.97/1.16 (step @p3516 :rule cong :premises (@p3515) :args (@t2296)) % 0.97/1.16 (step @p3517 :rule trans :premises (@p3516 @p3514)) % 0.97/1.16 (step @p3518 :rule cong :premises (@p3517) :args (@t2297)) % 0.97/1.16 (step @p3519 :rule quant-merge-prenex :args ((= @t2297 @t2298))) % 0.97/1.16 (step @p3520 :rule symm :premises (@p3519)) % 0.97/1.16 (step @p3521 :rule quant_var_reordering :args ((= (forall @t135 @t2295) @t2298))) % 0.97/1.16 (step @p3522 :rule trans :premises (@p3521 @p3520 @p3518)) % 0.97/1.16 (step @p3523 :rule trans :premises (@p3522 @p3513)) % 0.97/1.16 (step @p3524 :rule nary_cong :premises (@p594 @p3353) :args (@t2237)) % 0.97/1.16 (step @p3525 :rule cong :premises (@p3524) :args ((forall @t135 @t2237))) % 0.97/1.16 (step @p3526 :rule trans :premises (@p3525 @p3523)) % 0.97/1.16 (step @p3527 :rule cong :premises (@p3358) :args (@t374)) % 0.97/1.16 (step @p3528 :rule trans :premises (@p3527 @p3526)) % 0.97/1.16 (step @p3529 :rule cong :premises (@p3528 @p3508) :args (@t2299)) % 0.97/1.16 (step @p3530 :rule cong :premises (@p3529) :args (@t2300)) % 0.97/1.16 (step @p3531 :rule trans :premises (@p3530 @p3465)) % 0.97/1.16 (step @p3532 :rule refl :args (tptp.descr__Cong)) % 0.97/1.16 (step @p3533 :rule cong :premises (@p3532 @p3531) :args ((= tptp.descr__Cong @t2300))) % 0.97/1.16 (step @p3534 :rule refl :args (@t368)) % 0.97/1.16 (step @p3535 :rule bool-and-de-morgan :args (@t144 @t1229 true)) % 0.97/1.16 (step @p3536 :rule cong :premises (@p3535) :args (@t2302)) % 0.97/1.16 (step @p3537 :rule trans :premises (@p3536 @p3491)) % 0.97/1.16 (step @p3538 :rule cong :premises (@p3537) :args (@t2303)) % 0.97/1.16 (step @p3539 :rule exists-elim :args ((= (exists @t9 @t2301) @t2303))) % 0.97/1.16 (step @p3540 :rule trans :premises (@p3539 @p3538)) % 0.97/1.16 (step @p3541 :rule cong :premises (@p1213) :args (@t167)) % 0.97/1.16 (step @p3542 :rule trans :premises (@p3541 @p3493)) % 0.97/1.16 (step @p3543 :rule nary_cong :premises (@p1328 @p3542) :args (@t168)) % 0.97/1.16 (step @p3544 :rule cong :premises (@p3543) :args (@t169)) % 0.97/1.16 (step @p3545 :rule trans :premises (@p3544 @p3540)) % 0.97/1.16 (step @p3546 :rule cong :premises (@p3545) :args (@t960)) % 0.97/1.16 (step @p3547 :rule trans :premises (@p171 @p3546)) % 0.97/1.16 (step @p3548 :rule ho_cong :premises (@p3547 @p3534)) % 0.97/1.16 (step @p3549 :rule cong :premises (@p3548 @p3466) :args (@t403)) % 0.97/1.16 (step @p3550 :rule ho_cong :premises (@p3547 @p1149)) % 0.97/1.16 (step @p3551 :rule cong :premises (@p3550 @p3549) :args (@t404)) % 0.97/1.16 (step @p3552 :rule refl :args (@t374)) % 0.97/1.16 (step @p3553 :rule cong :premises (@p3552 @p3551) :args (@t405)) % 0.97/1.16 (step @p3554 :rule cong :premises (@p3553) :args (@t406)) % 0.97/1.16 (step @p3555 :rule cong :premises (@p3532 @p3554) :args (@t407)) % 0.97/1.16 (step @p3556 :rule trans :premises (@p3555 @p3533)) % 0.97/1.16 (step @p3557 :rule eq_resolve :premises (@p74 @p3556)) % 0.97/1.16 (step @p3558 :rule cong :premises (@p3557 @p3379) :args (@t2304)) % 0.97/1.16 (step @p3559 :rule refl :args (@t1218)) % 0.97/1.16 (step @p3560 :rule refl :args (@t1219)) % 0.97/1.16 (step @p3561 :rule refl :args (@t1220)) % 0.97/1.16 (step @p3562 :rule eq-symm :args (@t1221 @t19)) % 0.97/1.16 (step @p3563 :rule nary_cong :premises (@p3387 @p3562) :args (@t2305)) % 0.97/1.16 (step @p3564 :rule cong :premises (@p3563) :args (@t2306)) % 0.97/1.16 (step @p3565 :rule cong :premises (@p3564) :args (@t2307)) % 0.97/1.16 (step @p3566 :rule refl :args (@t1222)) % 0.97/1.16 (step @p3567 :rule nary_cong :premises (@p3566 @p3565 @p3561 @p3560 @p3559) :args (@t2308)) % 0.97/1.16 (step @p3568 :rule aci_norm :args ((= @t2311 @t2308))) % 0.97/1.16 (step @p3569 :rule trans :premises (@p3568 @p3567)) % 0.97/1.16 (step @p3570 :rule cong :premises (@p3569) :args (@t2312)) % 0.97/1.16 (step @p3571 :rule quant-merge-prenex :args ((= (forall @t150 @t2313) @t2312))) % 0.97/1.16 (step @p3572 :rule alpha_equiv :args (@t2314 (@list @t1217 @t1216) (@list @t4 @t19))) % 0.97/1.16 (step @p3573 :rule alpha_equiv :args (@t2315 (@list @t1221) @t1631)) % 0.97/1.16 (step @p3574 :rule nary_cong :premises (@p3573 @p3572) :args (@t2316)) % 0.97/1.16 (step @p3575 :rule quant-miniscope-or :args ((= @t2313 @t2316))) % 0.97/1.16 (step @p3576 :rule trans :premises (@p3575 @p3574)) % 0.97/1.16 (step @p3577 :rule symm :premises (@p3576)) % 0.97/1.16 (step @p3578 :rule cong :premises (@p3577) :args ((forall @t150 (or @t1231 @t1238)))) % 0.97/1.16 (step @p3579 :rule trans :premises (@p3578 @p3571)) % 0.97/1.16 (step @p3580 :rule trans :premises (@p3579 @p3570)) % 0.97/1.16 (step @p3581 :rule refl :args (@t1238)) % 0.97/1.16 (step @p3582 :rule nary_cong :premises (@p3455 @p3581) :args ((or @t2261 @t1238))) % 0.97/1.16 (step @p3583 :rule bool-impl-elim :args (@t1232 @t1238)) % 0.97/1.16 (step @p3584 :rule trans :premises (@p3583 @p3582)) % 0.97/1.16 (step @p3585 :rule cong :premises (@p3584) :args ((forall @t150 (=> @t1232 @t1238)))) % 0.97/1.16 (step @p3586 :rule trans :premises (@p3585 @p3580)) % 0.97/1.16 (step @p3587 :rule nary_cong :premises (@p1158 @p1195 @p1072) :args (@t1788)) % 0.97/1.16 (step @p3588 :rule cong :premises (@p3587) :args ((forall @t135 @t1788))) % 0.97/1.16 (step @p3589 :rule cong :premises (@p1218) :args (@t344)) % 0.97/1.16 (step @p3590 :rule trans :premises (@p3589 @p3588)) % 0.97/1.16 (step @p3591 :rule cong :premises (@p3507 @p3590) :args (@t2317)) % 0.97/1.16 (step @p3592 :rule cong :premises (@p3591) :args (@t2318)) % 0.97/1.16 (step @p3593 :rule trans :premises (@p3592 @p3586)) % 0.97/1.16 (step @p3594 :rule refl :args (tptp.exuEu)) % 0.97/1.16 (step @p3595 :rule cong :premises (@p3594 @p3593) :args ((= tptp.exuEu @t2318))) % 0.97/1.16 (step @p3596 :rule refl :args (@t344)) % 0.97/1.16 (step @p3597 :rule cong :premises (@p3550 @p3596) :args (@t363)) % 0.97/1.16 (step @p3598 :rule cong :premises (@p3597) :args (@t364)) % 0.97/1.16 (step @p3599 :rule cong :premises (@p3594 @p3598) :args (@t400)) % 0.97/1.16 (step @p3600 :rule trans :premises (@p3599 @p3595)) % 0.97/1.16 (step @p3601 :rule eq_resolve :premises (@p73 @p3600)) % 0.97/1.16 (step @p3602 :rule cong :premises (@p3601 @p3558) :args (@t2319)) % 0.97/1.16 (step @p3603 :rule bool-eq-true :args (tptp.omega__Cong)) % 0.97/1.16 (step @p3604 :rule symm :premises (@p3603)) % 0.97/1.16 (step @p3605 :rule eq-refl :args (tptp.omega)) % 0.97/1.16 (step @p3606 :rule refl :args (tptp.omega__Cong)) % 0.97/1.16 (step @p3607 :rule cong :premises (@p3606 @p3605) :args (@t399)) % 0.97/1.16 (step @p3608 :rule trans :premises (@p3607 @p3603)) % 0.97/1.16 (step @p3609 :rule eq_resolve :premises (@p72 @p3608)) % 0.97/1.16 (step @p3610 :rule eq_resolve :premises (@p3609 @p3604)) % 0.97/1.16 (step @p3611 :rule cong :premises (@p3610 @p3602) :args (@t2320)) % 0.97/1.16 (step @p3612 :rule bool-eq-true :args (tptp.setunion__Cong)) % 0.97/1.16 (step @p3613 :rule symm :premises (@p3612)) % 0.97/1.16 (step @p3614 :rule quant-unused-vars :args ((= (forall @t41 true) true))) % 0.97/1.16 (step @p3615 :rule evaluate :args ((or false true))) % 0.97/1.16 (step @p3616 :rule eq-refl :args (@t2321)) % 0.97/1.16 (step @p3617 :rule nary_cong :premises (@p3070 @p3616) :args (@t2322)) % 0.97/1.16 (step @p3618 :rule trans :premises (@p3617 @p3615)) % 0.97/1.16 (step @p3619 :rule cong :premises (@p3618) :args ((forall @t41 @t2322))) % 0.97/1.16 (step @p3620 :rule trans :premises (@p3619 @p3614)) % 0.97/1.16 (step @p3621 :rule quant-var-elim-eq :args ((= (forall @t64 @t2324) @t2322))) % 0.97/1.16 (step @p3622 :rule aci_norm :args ((= @t2325 @t2324))) % 0.97/1.16 (step @p3623 :rule cong :premises (@p3622) :args (@t2326)) % 0.97/1.16 (step @p3624 :rule trans :premises (@p3623 @p3621)) % 0.97/1.16 (step @p3625 :rule cong :premises (@p3624) :args (@t2327)) % 0.97/1.16 (step @p3626 :rule quant-merge-prenex :args ((= @t2327 @t2328))) % 0.97/1.16 (step @p3627 :rule symm :premises (@p3626)) % 0.97/1.16 (step @p3628 :rule quant_var_reordering :args ((= (forall @t12 @t2325) @t2328))) % 0.97/1.16 (step @p3629 :rule trans :premises (@p3628 @p3627 @p3625)) % 0.97/1.16 (step @p3630 :rule trans :premises (@p3629 @p3620)) % 0.97/1.16 (step @p3631 :rule refl :args (@t2321)) % 0.97/1.16 (step @p3632 :rule refl :args (@t395)) % 0.97/1.16 (step @p3633 :rule cong :premises (@p3632 @p3631) :args ((= @t395 @t2321))) % 0.97/1.16 (step @p3634 :rule symm :premises (@p3633)) % 0.97/1.16 (step @p3635 :rule eq_resolve :premises (@p3632 @p3634)) % 0.97/1.16 (step @p3636 :rule cong :premises (@p993 @p3635) :args (@t396)) % 0.97/1.16 (step @p3637 :rule nary_cong :premises (@p3085 @p3636) :args (@t2329)) % 0.97/1.16 (step @p3638 :rule cong :premises (@p3637) :args ((forall @t12 @t2329))) % 0.97/1.16 (step @p3639 :rule trans :premises (@p3638 @p3630)) % 0.97/1.16 (step @p3640 :rule bool-impl-elim :args (@t3 @t396)) % 0.97/1.16 (step @p3641 :rule cong :premises (@p3640) :args (@t397)) % 0.97/1.16 (step @p3642 :rule trans :premises (@p3641 @p3639)) % 0.97/1.16 (step @p3643 :rule refl :args (tptp.setunion__Cong)) % 0.97/1.16 (step @p3644 :rule cong :premises (@p3643 @p3642) :args (@t398)) % 0.97/1.16 (step @p3645 :rule trans :premises (@p3644 @p3612)) % 0.97/1.16 (step @p3646 :rule eq_resolve :premises (@p71 @p3645)) % 0.97/1.16 (step @p3647 :rule eq_resolve :premises (@p3646 @p3613)) % 0.97/1.16 (step @p3648 :rule cong :premises (@p3647 @p3611) :args (@t2330)) % 0.97/1.16 (step @p3649 :rule bool-eq-true :args (tptp.powerset__Cong)) % 0.97/1.16 (step @p3650 :rule symm :premises (@p3649)) % 0.97/1.16 (step @p3651 :rule eq-refl :args (@t1167)) % 0.97/1.16 (step @p3652 :rule nary_cong :premises (@p3070 @p3651) :args (@t2331)) % 0.97/1.16 (step @p3653 :rule trans :premises (@p3652 @p3615)) % 0.97/1.16 (step @p3654 :rule cong :premises (@p3653) :args ((forall @t41 @t2331))) % 0.97/1.16 (step @p3655 :rule trans :premises (@p3654 @p3614)) % 0.97/1.16 (step @p3656 :rule quant-var-elim-eq :args ((= (forall @t64 @t2333) @t2331))) % 0.97/1.16 (step @p3657 :rule aci_norm :args ((= @t2334 @t2333))) % 0.97/1.16 (step @p3658 :rule cong :premises (@p3657) :args (@t2335)) % 0.97/1.16 (step @p3659 :rule trans :premises (@p3658 @p3656)) % 0.97/1.16 (step @p3660 :rule cong :premises (@p3659) :args (@t2336)) % 0.97/1.16 (step @p3661 :rule quant-merge-prenex :args ((= @t2336 @t2337))) % 0.97/1.16 (step @p3662 :rule symm :premises (@p3661)) % 0.97/1.16 (step @p3663 :rule quant_var_reordering :args ((= (forall @t12 @t2334) @t2337))) % 0.97/1.16 (step @p3664 :rule trans :premises (@p3663 @p3662 @p3660)) % 0.97/1.16 (step @p3665 :rule trans :premises (@p3664 @p3655)) % 0.97/1.16 (step @p3666 :rule cong :premises (@p1968 @p2872) :args (@t392)) % 0.97/1.16 (step @p3667 :rule nary_cong :premises (@p3085 @p3666) :args (@t2338)) % 0.97/1.16 (step @p3668 :rule cong :premises (@p3667) :args ((forall @t12 @t2338))) % 0.97/1.16 (step @p3669 :rule trans :premises (@p3668 @p3665)) % 0.97/1.16 (step @p3670 :rule bool-impl-elim :args (@t3 @t392)) % 0.97/1.16 (step @p3671 :rule cong :premises (@p3670) :args (@t393)) % 0.97/1.16 (step @p3672 :rule trans :premises (@p3671 @p3669)) % 0.97/1.16 (step @p3673 :rule refl :args (tptp.powerset__Cong)) % 0.97/1.16 (step @p3674 :rule cong :premises (@p3673 @p3672) :args (@t394)) % 0.97/1.16 (step @p3675 :rule trans :premises (@p3674 @p3649)) % 0.97/1.16 (step @p3676 :rule eq_resolve :premises (@p70 @p3675)) % 0.97/1.16 (step @p3677 :rule eq_resolve :premises (@p3676 @p3650)) % 0.97/1.16 (step @p3678 :rule cong :premises (@p3677 @p3648) :args (@t2339)) % 0.97/1.16 (step @p3679 :rule bool-eq-true :args (tptp.setadjoin__Cong)) % 0.97/1.16 (step @p3680 :rule symm :premises (@p3679)) % 0.97/1.16 (step @p3681 :rule quant-unused-vars :args ((= (forall @t2341 true) true))) % 0.97/1.16 (step @p3682 :rule eq-refl :args (@t2342)) % 0.97/1.16 (step @p3683 :rule nary_cong :premises (@p569 @p3682) :args (@t2343)) % 0.97/1.16 (step @p3684 :rule trans :premises (@p3683 @p3615)) % 0.97/1.16 (step @p3685 :rule cong :premises (@p3684) :args ((forall @t2341 @t2343))) % 0.97/1.16 (step @p3686 :rule trans :premises (@p3685 @p3681)) % 0.97/1.16 (step @p3687 :rule quant-var-elim-eq :args ((= (forall @t9 @t2345) @t2343))) % 0.97/1.16 (step @p3688 :rule aci_norm :args ((= @t2346 @t2345))) % 0.97/1.16 (step @p3689 :rule cong :premises (@p3688) :args (@t2347)) % 0.97/1.16 (step @p3690 :rule trans :premises (@p3689 @p3687)) % 0.97/1.16 (step @p3691 :rule cong :premises (@p3690) :args (@t2348)) % 0.97/1.16 (step @p3692 :rule quant-merge-prenex :args ((= @t2348 @t2349))) % 0.97/1.16 (step @p3693 :rule symm :premises (@p3692)) % 0.97/1.16 (step @p3694 :rule quant_var_reordering :args ((= @t2350 @t2349))) % 0.97/1.16 (step @p3695 :rule trans :premises (@p3694 @p3693 @p3691)) % 0.97/1.16 (step @p3696 :rule trans :premises (@p3695 @p3686)) % 0.97/1.16 (step @p3697 :rule quant-merge-prenex :args ((= (forall @t135 @t2352) @t2350))) % 0.97/1.16 (step @p3698 :rule alpha_equiv :args (@t2353 (@list @t2340) (@list @t381))) % 0.97/1.16 (step @p3699 :rule nary_cong :premises (@p594 @p3698) :args (@t2354)) % 0.97/1.16 (step @p3700 :rule quant-miniscope-or :args ((= @t2352 @t2354))) % 0.97/1.16 (step @p3701 :rule trans :premises (@p3700 @p3699)) % 0.97/1.16 (step @p3702 :rule symm :premises (@p3701)) % 0.97/1.16 (step @p3703 :rule cong :premises (@p3702) :args ((forall @t135 (or @t282 @t2358)))) % 0.97/1.16 (step @p3704 :rule trans :premises (@p3703 @p3697)) % 0.97/1.16 (step @p3705 :rule trans :premises (@p3704 @p3696)) % 0.97/1.16 (step @p3706 :rule bool-impl-elim :args (@t129 @t2358)) % 0.97/1.16 (step @p3707 :rule cong :premises (@p3706) :args ((forall @t135 (=> @t129 @t2358)))) % 0.97/1.16 (step @p3708 :rule trans :premises (@p3707 @p3705)) % 0.97/1.16 (step @p3709 :rule aci_norm :args ((= (or false @t2357) @t2357))) % 0.97/1.16 (step @p3710 :rule eq-symm :args (@t2355 @t2356)) % 0.97/1.16 (step @p3711 :rule nary_cong :premises (@p437 @p3710) :args (@t2359)) % 0.97/1.16 (step @p3712 :rule trans :premises (@p3711 @p3709)) % 0.97/1.16 (step @p3713 :rule cong :premises (@p3712) :args ((forall @t750 @t2359))) % 0.97/1.16 (step @p3714 :rule quant-var-elim-eq :args ((= (forall @t1562 @t2362) @t2359))) % 0.97/1.16 (step @p3715 :rule aci_norm :args ((= @t2363 @t2362))) % 0.97/1.16 (step @p3716 :rule cong :premises (@p3715) :args (@t2364)) % 0.97/1.16 (step @p3717 :rule trans :premises (@p3716 @p3714)) % 0.97/1.16 (step @p3718 :rule cong :premises (@p3717) :args (@t2365)) % 0.97/1.16 (step @p3719 :rule quant-merge-prenex :args ((= @t2365 @t2366))) % 0.97/1.16 (step @p3720 :rule symm :premises (@p3719)) % 0.97/1.16 (step @p3721 :rule quant_var_reordering :args ((= (forall @t386 @t2363) @t2366))) % 0.97/1.16 (step @p3722 :rule trans :premises (@p3721 @p3720 @p3718)) % 0.97/1.16 (step @p3723 :rule trans :premises (@p3722 @p3713)) % 0.97/1.16 (step @p3724 :rule refl :args (@t2356)) % 0.97/1.16 (step @p3725 :rule refl :args (@t382)) % 0.97/1.16 (step @p3726 :rule cong :premises (@p3725 @p3724) :args ((= @t382 @t2356))) % 0.97/1.16 (step @p3727 :rule symm :premises (@p3726)) % 0.97/1.16 (step @p3728 :rule eq_resolve :premises (@p3725 @p3727)) % 0.97/1.16 (step @p3729 :rule refl :args (@t2360)) % 0.97/1.16 (step @p3730 :rule refl :args (@t383)) % 0.97/1.16 (step @p3731 :rule cong :premises (@p3730 @p3729) :args ((= @t383 @t2360))) % 0.97/1.16 (step @p3732 :rule symm :premises (@p3731)) % 0.97/1.16 (step @p3733 :rule eq_resolve :premises (@p3730 @p3732)) % 0.97/1.16 (step @p3734 :rule cong :premises (@p3733 @p3728) :args (@t384)) % 0.97/1.16 (step @p3735 :rule nary_cong :premises (@p453 @p3734) :args (@t2367)) % 0.97/1.16 (step @p3736 :rule cong :premises (@p3735) :args ((forall @t386 @t2367))) % 0.97/1.16 (step @p3737 :rule trans :premises (@p3736 @p3723)) % 0.97/1.16 (step @p3738 :rule bool-impl-elim :args (@t385 @t384)) % 0.97/1.16 (step @p3739 :rule cong :premises (@p3738) :args (@t387)) % 0.97/1.16 (step @p3740 :rule trans :premises (@p3739 @p3737)) % 0.97/1.16 (step @p3741 :rule cong :premises (@p628 @p3740) :args (@t388)) % 0.97/1.16 (step @p3742 :rule cong :premises (@p3741) :args (@t389)) % 0.97/1.16 (step @p3743 :rule trans :premises (@p3742 @p3708)) % 0.97/1.16 (step @p3744 :rule refl :args (tptp.setadjoin__Cong)) % 0.97/1.16 (step @p3745 :rule cong :premises (@p3744 @p3743) :args (@t390)) % 0.97/1.16 (step @p3746 :rule trans :premises (@p3745 @p3679)) % 0.97/1.16 (step @p3747 :rule eq_resolve :premises (@p69 @p3746)) % 0.97/1.16 (step @p3748 :rule eq_resolve :premises (@p3747 @p3680)) % 0.97/1.16 (step @p3749 :rule cong :premises (@p3748 @p3678) :args (@t2368)) % 0.97/1.16 (step @p3750 :rule bool-eq-true :args (tptp.emptyset__Cong)) % 0.97/1.16 (step @p3751 :rule symm :premises (@p3750)) % 0.97/1.16 (step @p3752 :rule eq-refl :args (tptp.emptyset)) % 0.97/1.16 (step @p3753 :rule refl :args (tptp.emptyset__Cong)) % 0.97/1.16 (step @p3754 :rule cong :premises (@p3753 @p3752) :args (@t380)) % 0.97/1.16 (step @p3755 :rule trans :premises (@p3754 @p3750)) % 0.97/1.16 (step @p3756 :rule eq_resolve :premises (@p68 @p3755)) % 0.97/1.16 (step @p3757 :rule eq_resolve :premises (@p3756 @p3751)) % 0.97/1.16 (step @p3758 :rule cong :premises (@p3757 @p3749) :args (@t2369)) % 0.97/1.16 (step @p3759 :rule bool-impl-elim :args (@t1212 @t1233)) % 0.97/1.16 (step @p3760 :rule cong :premises (@p3759) :args ((forall @t376 (=> @t1212 @t1233)))) % 0.97/1.16 (step @p3761 :rule cong :premises (@p3507 @p3487) :args (@t2370)) % 0.97/1.16 (step @p3762 :rule cong :premises (@p3528 @p3761) :args (@t2371)) % 0.97/1.16 (step @p3763 :rule cong :premises (@p3762) :args (@t2372)) % 0.97/1.16 (step @p3764 :rule trans :premises (@p3763 @p3760)) % 0.97/1.16 (step @p3765 :rule refl :args (tptp.exu__Cong)) % 0.97/1.16 (step @p3766 :rule cong :premises (@p3765 @p3764) :args ((= tptp.exu__Cong @t2372))) % 0.97/1.16 (step @p3767 :rule cong :premises (@p3550 @p3548) :args (@t370)) % 0.97/1.16 (step @p3768 :rule cong :premises (@p3552 @p3767) :args (@t375)) % 0.97/1.16 (step @p3769 :rule cong :premises (@p3768) :args (@t377)) % 0.97/1.16 (step @p3770 :rule cong :premises (@p3765 @p3769) :args (@t378)) % 0.97/1.16 (step @p3771 :rule trans :premises (@p3770 @p3766)) % 0.97/1.16 (step @p3772 :rule eq_resolve :premises (@p67 @p3771)) % 0.97/1.16 (step @p3773 :rule cong :premises (@p3772 @p3758) :args (@t2373)) % 0.97/1.16 (step @p3774 :rule refl :args (tptp.exuE3u)) % 0.97/1.16 (step @p3775 :rule cong :premises (@p3774 @p3593) :args ((= tptp.exuE3u @t2318))) % 0.97/1.16 (step @p3776 :rule cong :premises (@p3774 @p3598) :args (@t365)) % 0.97/1.16 (step @p3777 :rule trans :premises (@p3776 @p3775)) % 0.97/1.16 (step @p3778 :rule eq_resolve :premises (@p66 @p3777)) % 0.97/1.16 (step @p3779 :rule cong :premises (@p3778 @p3773) :args (@t2374)) % 0.97/1.16 (step @p3780 :rule bool-eq-true :args (tptp.in__Cong)) % 0.97/1.16 (step @p3781 :rule symm :premises (@p3780)) % 0.97/1.16 (step @p3782 :rule quant-unused-vars :args ((= (forall @t2376 true) true))) % 0.97/1.16 (step @p3783 :rule eq-refl :args (@t2377)) % 0.97/1.16 (step @p3784 :rule nary_cong :premises (@p3070 @p3783) :args (@t2378)) % 0.97/1.16 (step @p3785 :rule trans :premises (@p3784 @p3615)) % 0.97/1.16 (step @p3786 :rule cong :premises (@p3785) :args ((forall @t2376 @t2378))) % 0.97/1.16 (step @p3787 :rule trans :premises (@p3786 @p3782)) % 0.97/1.16 (step @p3788 :rule quant-var-elim-eq :args ((= (forall @t64 @t2380) @t2378))) % 0.97/1.16 (step @p3789 :rule aci_norm :args ((= @t2381 @t2380))) % 0.97/1.16 (step @p3790 :rule cong :premises (@p3789) :args (@t2382)) % 0.97/1.16 (step @p3791 :rule trans :premises (@p3790 @p3788)) % 0.97/1.16 (step @p3792 :rule cong :premises (@p3791) :args (@t2383)) % 0.97/1.16 (step @p3793 :rule quant-merge-prenex :args ((= @t2383 @t2384))) % 0.97/1.16 (step @p3794 :rule symm :premises (@p3793)) % 0.97/1.16 (step @p3795 :rule quant_var_reordering :args ((= @t2385 @t2384))) % 0.97/1.16 (step @p3796 :rule trans :premises (@p3795 @p3794 @p3792)) % 0.97/1.16 (step @p3797 :rule trans :premises (@p3796 @p3787)) % 0.97/1.16 (step @p3798 :rule quant-merge-prenex :args ((= (forall @t12 @t2387) @t2385))) % 0.97/1.16 (step @p3799 :rule alpha_equiv :args (@t2388 (@list @t2375) @t1704)) % 0.97/1.16 (step @p3800 :rule nary_cong :premises (@p3085 @p3799) :args (@t2389)) % 0.97/1.16 (step @p3801 :rule quant-miniscope-or :args ((= @t2387 @t2389))) % 0.97/1.16 (step @p3802 :rule trans :premises (@p3801 @p3800)) % 0.97/1.16 (step @p3803 :rule symm :premises (@p3802)) % 0.97/1.16 (step @p3804 :rule cong :premises (@p3803) :args ((forall @t12 (or @t443 @t2391)))) % 0.97/1.16 (step @p3805 :rule trans :premises (@p3804 @p3798)) % 0.97/1.16 (step @p3806 :rule trans :premises (@p3805 @p3797)) % 0.97/1.16 (step @p3807 :rule bool-impl-elim :args (@t3 @t2391)) % 0.97/1.16 (step @p3808 :rule cong :premises (@p3807) :args ((forall @t12 (=> @t3 @t2391)))) % 0.97/1.16 (step @p3809 :rule trans :premises (@p3808 @p3806)) % 0.97/1.16 (step @p3810 :rule aci_norm :args ((= (or false @t2390) @t2390))) % 0.97/1.16 (step @p3811 :rule refl :args (@t2390)) % 0.97/1.16 (step @p3812 :rule nary_cong :premises (@p569 @p3811) :args (@t2392)) % 0.97/1.16 (step @p3813 :rule trans :premises (@p3812 @p3810)) % 0.97/1.16 (step @p3814 :rule cong :premises (@p3813) :args ((forall @t70 @t2392))) % 0.97/1.16 (step @p3815 :rule quant-var-elim-eq :args ((= (forall @t9 @t2394) @t2392))) % 0.97/1.16 (step @p3816 :rule aci_norm :args ((= @t2395 @t2394))) % 0.97/1.16 (step @p3817 :rule cong :premises (@p3816) :args (@t2396)) % 0.97/1.16 (step @p3818 :rule trans :premises (@p3817 @p3815)) % 0.97/1.16 (step @p3819 :rule cong :premises (@p3818) :args (@t2397)) % 0.97/1.16 (step @p3820 :rule quant-merge-prenex :args ((= @t2397 @t2398))) % 0.97/1.16 (step @p3821 :rule symm :premises (@p3820)) % 0.97/1.16 (step @p3822 :rule quant_var_reordering :args ((= (forall @t135 @t2395) @t2398))) % 0.97/1.16 (step @p3823 :rule trans :premises (@p3822 @p3821 @p3819)) % 0.97/1.16 (step @p3824 :rule trans :premises (@p3823 @p3814)) % 0.97/1.16 (step @p3825 :rule cong :premises (@p838 @p1598) :args (@t358)) % 0.97/1.16 (step @p3826 :rule nary_cong :premises (@p594 @p3825) :args (@t2399)) % 0.97/1.16 (step @p3827 :rule cong :premises (@p3826) :args ((forall @t135 @t2399))) % 0.97/1.16 (step @p3828 :rule trans :premises (@p3827 @p3824)) % 0.97/1.16 (step @p3829 :rule bool-impl-elim :args (@t129 @t358)) % 0.97/1.16 (step @p3830 :rule cong :premises (@p3829) :args (@t359)) % 0.97/1.16 (step @p3831 :rule trans :premises (@p3830 @p3828)) % 0.97/1.16 (step @p3832 :rule cong :premises (@p3372 @p3831) :args (@t360)) % 0.97/1.16 (step @p3833 :rule cong :premises (@p3832) :args (@t361)) % 0.97/1.16 (step @p3834 :rule trans :premises (@p3833 @p3809)) % 0.97/1.16 (step @p3835 :rule refl :args (tptp.in__Cong)) % 0.97/1.16 (step @p3836 :rule cong :premises (@p3835 @p3834) :args (@t362)) % 0.97/1.16 (step @p3837 :rule trans :premises (@p3836 @p3780)) % 0.97/1.16 (step @p3838 :rule eq_resolve :premises (@p65 @p3837)) % 0.97/1.16 (step @p3839 :rule eq_resolve :premises (@p3838 @p3781)) % 0.97/1.16 (step @p3840 :rule cong :premises (@p3839 @p3779) :args (@t2400)) % 0.97/1.16 (step @p3841 :rule bool-eq-true :args (tptp.inCongP)) % 0.97/1.16 (step @p3842 :rule symm :premises (@p3841)) % 0.97/1.16 (step @p3843 :rule quant-unused-vars :args ((= (forall @t2402 true) true))) % 0.97/1.16 (step @p3844 :rule bool-or-taut2 :args (false @t2403 false false)) % 0.97/1.16 (step @p3845 :rule cong :premises (@p3844) :args ((forall @t2402 @t2405))) % 0.97/1.16 (step @p3846 :rule trans :premises (@p3845 @p3843)) % 0.97/1.16 (step @p3847 :rule aci_norm :args ((= (or false @t2404 @t2403) @t2405))) % 0.97/1.16 (step @p3848 :rule refl :args (@t2403)) % 0.97/1.16 (step @p3849 :rule refl :args (@t2404)) % 0.97/1.16 (step @p3850 :rule nary_cong :premises (@p3070 @p3849 @p3848) :args (@t2406)) % 0.97/1.16 (step @p3851 :rule trans :premises (@p3850 @p3847)) % 0.97/1.16 (step @p3852 :rule cong :premises (@p3851) :args ((forall @t2402 @t2406))) % 0.97/1.16 (step @p3853 :rule trans :premises (@p3852 @p3846)) % 0.97/1.16 (step @p3854 :rule quant-var-elim-eq :args ((= (forall @t64 @t2408) @t2406))) % 0.97/1.16 (step @p3855 :rule aci_norm :args ((= @t2409 @t2408))) % 0.97/1.16 (step @p3856 :rule cong :premises (@p3855) :args (@t2410)) % 0.97/1.16 (step @p3857 :rule trans :premises (@p3856 @p3854)) % 0.97/1.16 (step @p3858 :rule cong :premises (@p3857) :args (@t2411)) % 0.97/1.16 (step @p3859 :rule quant-merge-prenex :args ((= @t2411 @t2412))) % 0.97/1.16 (step @p3860 :rule symm :premises (@p3859)) % 0.97/1.16 (step @p3861 :rule quant_var_reordering :args ((= (forall @t2413 @t2409) @t2412))) % 0.97/1.16 (step @p3862 :rule trans :premises (@p3861 @p3860 @p3858)) % 0.97/1.16 (step @p3863 :rule trans :premises (@p3862 @p3853)) % 0.97/1.16 (step @p3864 :rule aci_norm :args ((= @t2415 @t2409))) % 0.97/1.16 (step @p3865 :rule cong :premises (@p3864) :args (@t2416)) % 0.97/1.16 (step @p3866 :rule trans :premises (@p3865 @p3863)) % 0.97/1.16 (step @p3867 :rule quant-merge-prenex :args ((= (forall @t12 @t2418) @t2416))) % 0.97/1.16 (step @p3868 :rule alpha_equiv :args (@t2419 (@list @t2401) @t1704)) % 0.97/1.16 (step @p3869 :rule nary_cong :premises (@p3085 @p3868) :args (@t2420)) % 0.97/1.16 (step @p3870 :rule quant-miniscope-or :args ((= @t2418 @t2420))) % 0.97/1.16 (step @p3871 :rule trans :premises (@p3870 @p3869)) % 0.97/1.16 (step @p3872 :rule symm :premises (@p3871)) % 0.97/1.16 (step @p3873 :rule cong :premises (@p3872) :args ((forall @t12 (or @t443 @t2422)))) % 0.97/1.16 (step @p3874 :rule trans :premises (@p3873 @p3867)) % 0.97/1.16 (step @p3875 :rule trans :premises (@p3874 @p3866)) % 0.97/1.16 (step @p3876 :rule bool-impl-elim :args (@t3 @t2422)) % 0.97/1.16 (step @p3877 :rule cong :premises (@p3876) :args ((forall @t12 (=> @t3 @t2422)))) % 0.97/1.16 (step @p3878 :rule trans :premises (@p3877 @p3875)) % 0.97/1.16 (step @p3879 :rule aci_norm :args ((= (or false @t1051 @t1894) @t2421))) % 0.97/1.16 (step @p3880 :rule refl :args (@t1894)) % 0.97/1.16 (step @p3881 :rule refl :args (@t1051)) % 0.97/1.16 (step @p3882 :rule nary_cong :premises (@p569 @p3881 @p3880) :args (@t2423)) % 0.97/1.16 (step @p3883 :rule trans :premises (@p3882 @p3879)) % 0.97/1.16 (step @p3884 :rule cong :premises (@p3883) :args ((forall @t70 @t2423))) % 0.97/1.16 (step @p3885 :rule quant-var-elim-eq :args ((= (forall @t9 @t2424) @t2423))) % 0.97/1.16 (step @p3886 :rule aci_norm :args ((= @t2425 @t2424))) % 0.97/1.16 (step @p3887 :rule cong :premises (@p3886) :args (@t2426)) % 0.97/1.16 (step @p3888 :rule trans :premises (@p3887 @p3885)) % 0.97/1.16 (step @p3889 :rule cong :premises (@p3888) :args (@t2427)) % 0.97/1.16 (step @p3890 :rule quant-merge-prenex :args ((= @t2427 @t2428))) % 0.97/1.16 (step @p3891 :rule symm :premises (@p3890)) % 0.97/1.16 (step @p3892 :rule quant_var_reordering :args ((= (forall @t135 @t2425) @t2428))) % 0.97/1.16 (step @p3893 :rule trans :premises (@p3892 @p3891 @p3889)) % 0.97/1.16 (step @p3894 :rule trans :premises (@p3893 @p3884)) % 0.97/1.16 (step @p3895 :rule nary_cong :premises (@p594 @p839 @p1598) :args (@t2429)) % 0.97/1.16 (step @p3896 :rule cong :premises (@p3895) :args ((forall @t135 @t2429))) % 0.97/1.16 (step @p3897 :rule trans :premises (@p3896 @p3894)) % 0.97/1.16 (step @p3898 :rule aci_norm :args ((= (or @t282 (or @t197 @t352)) @t2429))) % 0.97/1.16 (step @p3899 :rule bool-impl-elim :args (@t7 @t352)) % 0.97/1.16 (step @p3900 :rule nary_cong :premises (@p594 @p3899) :args ((or @t282 @t353))) % 0.97/1.16 (step @p3901 :rule trans :premises (@p3900 @p3898)) % 0.97/1.16 (step @p3902 :rule bool-impl-elim :args (@t129 @t353)) % 0.97/1.16 (step @p3903 :rule trans :premises (@p3902 @p3901)) % 0.97/1.16 (step @p3904 :rule cong :premises (@p3903) :args (@t354)) % 0.97/1.16 (step @p3905 :rule trans :premises (@p3904 @p3897)) % 0.97/1.16 (step @p3906 :rule cong :premises (@p3372 @p3905) :args (@t355)) % 0.97/1.16 (step @p3907 :rule cong :premises (@p3906) :args (@t356)) % 0.97/1.16 (step @p3908 :rule trans :premises (@p3907 @p3878)) % 0.97/1.16 (step @p3909 :rule refl :args (tptp.inCongP)) % 0.97/1.16 (step @p3910 :rule cong :premises (@p3909 @p3908) :args (@t357)) % 0.97/1.16 (step @p3911 :rule trans :premises (@p3910 @p3841)) % 0.97/1.16 (step @p3912 :rule eq_resolve :premises (@p64 @p3911)) % 0.97/1.16 (step @p3913 :rule eq_resolve :premises (@p3912 @p3842)) % 0.97/1.16 (step @p3914 :rule cong :premises (@p3913 @p3840) :args (@t2430)) % 0.97/1.16 (step @p3915 :rule refl :args (@t1232)) % 0.97/1.16 (step @p3916 :rule eq-symm :args (@t1235 @t19)) % 0.97/1.16 (step @p3917 :rule refl :args (@t1048)) % 0.97/1.16 (step @p3918 :rule cong :premises (@p3917 @p3916) :args ((= @t1048 @t2431))) % 0.97/1.16 (step @p3919 :rule eq-symm :args (@t2431 @t1048)) % 0.97/1.16 (step @p3920 :rule trans :premises (@p3919 @p3918)) % 0.97/1.16 (step @p3921 :rule cong :premises (@p3920) :args (@t2432)) % 0.97/1.16 (step @p3922 :rule cong :premises (@p3921) :args (@t2433)) % 0.97/1.16 (step @p3923 :rule nary_cong :premises (@p3922 @p3915) :args (@t2434)) % 0.97/1.16 (step @p3924 :rule cong :premises (@p3923) :args (@t2435)) % 0.97/1.16 (step @p3925 :rule quant-merge-prenex :args ((= (forall @t150 @t2437) @t2435))) % 0.97/1.16 (step @p3926 :rule refl :args (@t1232)) % 0.97/1.16 (step @p3927 :rule alpha_equiv :args (@t2438 (@list @t1235) @t1631)) % 0.97/1.16 (step @p3928 :rule nary_cong :premises (@p3927 @p3926) :args (@t2439)) % 0.97/1.16 (step @p3929 :rule quant-miniscope-or :args ((= @t2437 @t2439))) % 0.97/1.16 (step @p3930 :rule trans :premises (@p3929 @p3928)) % 0.97/1.16 (step @p3931 :rule symm :premises (@p3930)) % 0.97/1.16 (step @p3932 :rule cong :premises (@p3931) :args ((forall @t150 (or @t1286 @t1232)))) % 0.97/1.16 (step @p3933 :rule trans :premises (@p3932 @p3925)) % 0.97/1.16 (step @p3934 :rule trans :premises (@p3933 @p3924)) % 0.97/1.16 (step @p3935 :rule bool-double-not-elim :args (@t1286)) % 0.97/1.16 (step @p3936 :rule nary_cong :premises (@p3935 @p3926) :args ((or (not @t1287) @t1232))) % 0.97/1.16 (step @p3937 :rule bool-impl-elim :args (@t1287 @t1232)) % 0.97/1.16 (step @p3938 :rule trans :premises (@p3937 @p3936)) % 0.97/1.16 (step @p3939 :rule cong :premises (@p3938) :args ((forall @t150 (=> @t1287 @t1232)))) % 0.97/1.16 (step @p3940 :rule trans :premises (@p3939 @p3934)) % 0.97/1.16 (step @p3941 :rule exists-elim :args ((= (exists @t9 @t1285) @t1287))) % 0.97/1.16 (step @p3942 :rule eq-symm :args (@t1048 @t129)) % 0.97/1.16 (step @p3943 :rule cong :premises (@p3942) :args ((forall @t70 (= @t1048 @t129)))) % 0.97/1.16 (step @p3944 :rule cong :premises (@p1194 @p1072) :args (@t2440)) % 0.97/1.16 (step @p3945 :rule cong :premises (@p3944) :args ((forall @t70 @t2440))) % 0.97/1.16 (step @p3946 :rule trans :premises (@p3945 @p3943)) % 0.97/1.16 (step @p3947 :rule cong :premises (@p1371 @p1370) :args (@t263)) % 0.97/1.16 (step @p3948 :rule cong :premises (@p3947) :args (@t264)) % 0.97/1.16 (step @p3949 :rule trans :premises (@p3948 @p3946)) % 0.97/1.16 (step @p3950 :rule cong :premises (@p3949) :args (@t265)) % 0.97/1.16 (step @p3951 :rule trans :premises (@p3950 @p3941)) % 0.97/1.16 (step @p3952 :rule cong :premises (@p3951 @p3507) :args (@t2441)) % 0.97/1.16 (step @p3953 :rule cong :premises (@p3952) :args (@t2442)) % 0.97/1.16 (step @p3954 :rule trans :premises (@p3953 @p3940)) % 0.97/1.16 (step @p3955 :rule refl :args (tptp.exuI2)) % 0.97/1.16 (step @p3956 :rule cong :premises (@p3955 @p3954) :args ((= tptp.exuI2 @t2442))) % 0.97/1.16 (step @p3957 :rule refl :args (@t265)) % 0.97/1.16 (step @p3958 :rule cong :premises (@p3957 @p3550) :args (@t349)) % 0.97/1.16 (step @p3959 :rule cong :premises (@p3958) :args (@t350)) % 0.97/1.16 (step @p3960 :rule cong :premises (@p3955 @p3959) :args (@t351)) % 0.97/1.16 (step @p3961 :rule trans :premises (@p3960 @p3956)) % 0.97/1.16 (step @p3962 :rule eq_resolve :premises (@p63 @p3961)) % 0.97/1.16 (step @p3963 :rule cong :premises (@p3962 @p3914) :args (@t2443)) % 0.97/1.16 (step @p3964 :rule quant-merge-prenex :args ((= (forall @t150 @t2445) @t1243))) % 0.97/1.16 (step @p3965 :rule refl :args (@t1239)) % 0.97/1.16 (step @p3966 :rule alpha_equiv :args (@t2446 (@list @t1240) @t1631)) % 0.97/1.16 (step @p3967 :rule nary_cong :premises (@p3966 @p3965 @p3926) :args (@t2447)) % 0.97/1.16 (step @p3968 :rule quant-miniscope-or :args ((= @t2445 @t2447))) % 0.97/1.16 (step @p3969 :rule trans :premises (@p3968 @p3967)) % 0.97/1.16 (step @p3970 :rule symm :premises (@p3969)) % 0.97/1.16 (step @p3971 :rule cong :premises (@p3970) :args ((forall @t150 @t2448))) % 0.97/1.16 (step @p3972 :rule trans :premises (@p3971 @p3964)) % 0.97/1.16 (step @p3973 :rule aci_norm :args ((= (or @t1349 (or @t1239 @t1232)) @t2448))) % 0.97/1.16 (step @p3974 :rule bool-impl-elim :args (@t1238 @t1232)) % 0.97/1.16 (step @p3975 :rule refl :args (@t1349)) % 0.97/1.16 (step @p3976 :rule nary_cong :premises (@p3975 @p3974) :args ((or @t1349 @t2449))) % 0.97/1.16 (step @p3977 :rule trans :premises (@p3976 @p3973)) % 0.97/1.16 (step @p3978 :rule refl :args (@t2449)) % 0.97/1.16 (step @p3979 :rule bool-double-not-elim :args (@t1349)) % 0.97/1.16 (step @p3980 :rule nary_cong :premises (@p3979 @p3978) :args ((or (not @t1350) @t2449))) % 0.97/1.16 (step @p3981 :rule bool-impl-elim :args (@t1350 @t2449)) % 0.97/1.16 (step @p3982 :rule trans :premises (@p3981 @p3980)) % 0.97/1.16 (step @p3983 :rule trans :premises (@p3982 @p3977)) % 0.97/1.16 (step @p3984 :rule cong :premises (@p3983) :args ((forall @t150 (=> @t1350 @t2449)))) % 0.97/1.16 (step @p3985 :rule trans :premises (@p3984 @p3972)) % 0.97/1.16 (step @p3986 :rule cong :premises (@p3590 @p3507) :args (@t2450)) % 0.97/1.16 (step @p3987 :rule cong :premises (@p1158) :args (@t2451)) % 0.97/1.16 (step @p3988 :rule cong :premises (@p3987) :args (@t2452)) % 0.97/1.16 (step @p3989 :rule exists-elim :args ((= @t186 @t2452))) % 0.97/1.16 (step @p3990 :rule trans :premises (@p3989 @p3988)) % 0.97/1.16 (step @p3991 :rule cong :premises (@p3990 @p3986) :args (@t2453)) % 0.97/1.16 (step @p3992 :rule cong :premises (@p3991) :args (@t2454)) % 0.97/1.16 (step @p3993 :rule trans :premises (@p3992 @p3985)) % 0.97/1.16 (step @p3994 :rule refl :args (tptp.exuI3)) % 0.97/1.16 (step @p3995 :rule cong :premises (@p3994 @p3993) :args ((= tptp.exuI3 @t2454))) % 0.97/1.16 (step @p3996 :rule cong :premises (@p3596 @p3550) :args (@t345)) % 0.97/1.16 (step @p3997 :rule refl :args (@t186)) % 0.97/1.16 (step @p3998 :rule cong :premises (@p3997 @p3996) :args (@t346)) % 0.97/1.16 (step @p3999 :rule cong :premises (@p3998) :args (@t347)) % 0.97/1.16 (step @p4000 :rule cong :premises (@p3994 @p3999) :args (@t348)) % 0.97/1.16 (step @p4001 :rule trans :premises (@p4000 @p3995)) % 0.97/1.16 (step @p4002 :rule eq_resolve :premises (@p62 @p4001)) % 0.97/1.16 (step @p4003 :rule cong :premises (@p4002 @p3963) :args (@t2455)) % 0.97/1.16 (step @p4004 :rule bool-eq-true :args (tptp.exuI1)) % 0.97/1.16 (step @p4005 :rule symm :premises (@p4004)) % 0.97/1.16 (step @p4006 :rule quant-unused-vars :args ((= (forall @t150 true) true))) % 0.97/1.16 (step @p4007 :rule bool-or-taut :args (false @t1231 false false)) % 0.97/1.16 (step @p4008 :rule nary_cong :premises (@p3455 @p3926) :args ((or @t2261 @t1232))) % 0.97/1.16 (step @p4009 :rule bool-impl-elim :args (@t1232 @t1232)) % 0.97/1.16 (step @p4010 :rule trans :premises (@p4009 @p4008)) % 0.97/1.16 (step @p4011 :rule trans :premises (@p4010 @p4007)) % 0.97/1.16 (step @p4012 :rule cong :premises (@p4011) :args ((forall @t150 (=> @t1232 @t1232)))) % 0.97/1.16 (step @p4013 :rule trans :premises (@p4012 @p4006)) % 0.97/1.16 (step @p4014 :rule cong :premises (@p3545 @p3507) :args (@t2456)) % 0.97/1.16 (step @p4015 :rule cong :premises (@p4014) :args (@t2457)) % 0.97/1.16 (step @p4016 :rule trans :premises (@p4015 @p4013)) % 0.97/1.16 (step @p4017 :rule refl :args (tptp.exuI1)) % 0.97/1.16 (step @p4018 :rule cong :premises (@p4017 @p4016) :args ((= tptp.exuI1 @t2457))) % 0.97/1.16 (step @p4019 :rule trans :premises (@p4018 @p4004)) % 0.97/1.16 (step @p4020 :rule refl :args (@t169)) % 0.97/1.16 (step @p4021 :rule cong :premises (@p4020 @p3550) :args (@t340)) % 0.97/1.16 (step @p4022 :rule cong :premises (@p4021) :args (@t341)) % 0.97/1.16 (step @p4023 :rule cong :premises (@p4017 @p4022) :args (@t342)) % 0.97/1.16 (step @p4024 :rule trans :premises (@p4023 @p4019)) % 0.97/1.16 (step @p4025 :rule eq_resolve :premises (@p61 @p4024)) % 0.97/1.16 (step @p4026 :rule eq_resolve :premises (@p4025 @p4005)) % 0.97/1.16 (step @p4027 :rule cong :premises (@p4026 @p4003) :args (@t2458)) % 0.97/1.16 (step @p4028 :rule bool-eq-true :args (tptp.notdallE)) % 0.97/1.16 (step @p4029 :rule symm :premises (@p4028)) % 0.97/1.16 (step @p4030 :rule bool-eq-true :args (tptp.notdallE)) % 0.97/1.16 (step @p4031 :rule eq-symm :args (true tptp.notdallE)) % 0.97/1.16 (step @p4032 :rule trans :premises (@p4031 @p4030)) % 0.97/1.16 (step @p4033 :rule refl :args (tptp.notdallE)) % 0.97/1.16 (step @p4034 :rule quant-unused-vars :args ((= (forall @t309 true) true))) % 0.97/1.16 (step @p4035 :rule bool-or-taut :args (false @t2459 false false)) % 0.97/1.16 (step @p4036 :rule refl :args (@t2460)) % 0.97/1.16 (step @p4037 :rule bool-double-not-elim :args (@t2459)) % 0.97/1.16 (step @p4038 :rule nary_cong :premises (@p4037 @p4036) :args ((or (not @t2460) @t2460))) % 0.97/1.16 (step @p4039 :rule bool-impl-elim :args (@t2460 @t2460)) % 0.97/1.16 (step @p4040 :rule trans :premises (@p4039 @p4038)) % 0.97/1.16 (step @p4041 :rule trans :premises (@p4040 @p4035)) % 0.97/1.16 (step @p4042 :rule cong :premises (@p4041) :args ((forall @t309 (=> @t2460 @t2460)))) % 0.97/1.16 (step @p4043 :rule trans :premises (@p4042 @p4034)) % 0.97/1.16 (step @p4044 :rule nary_cong :premises (@p839 @p1157) :args (@t2461)) % 0.97/1.16 (step @p4045 :rule cong :premises (@p4044) :args ((forall @t9 @t2461))) % 0.97/1.16 (step @p4046 :rule bool-double-not-elim :args (@t144)) % 0.97/1.16 (step @p4047 :rule nary_cong :premises (@p1313 @p4046) :args ((or @t197 (not @t315)))) % 0.97/1.16 (step @p4048 :rule bool-and-de-morgan :args (@t7 @t315 true)) % 0.97/1.16 (step @p4049 :rule trans :premises (@p4048 @p4047)) % 0.97/1.16 (step @p4050 :rule cong :premises (@p4049) :args (@t2462)) % 0.97/1.16 (step @p4051 :rule trans :premises (@p4050 @p4045)) % 0.97/1.16 (step @p4052 :rule cong :premises (@p4051) :args (@t2463)) % 0.97/1.16 (step @p4053 :rule exists-elim :args ((= @t317 @t2463))) % 0.97/1.16 (step @p4054 :rule trans :premises (@p4053 @p4052)) % 0.97/1.16 (step @p4055 :rule bool-impl-elim :args (@t7 @t144)) % 0.97/1.16 (step @p4056 :rule cong :premises (@p4055) :args (@t318)) % 0.97/1.16 (step @p4057 :rule trans :premises (@p4056 @p4045)) % 0.97/1.16 (step @p4058 :rule cong :premises (@p4057) :args (@t319)) % 0.97/1.16 (step @p4059 :rule cong :premises (@p4058 @p4054) :args (@t320)) % 0.97/1.16 (step @p4060 :rule cong :premises (@p4059) :args (@t321)) % 0.97/1.16 (step @p4061 :rule trans :premises (@p4060 @p4043)) % 0.97/1.16 (step @p4062 :rule cong :premises (@p4061 @p4033) :args ((= @t321 tptp.notdallE))) % 0.97/1.16 (step @p4063 :rule trans :premises (@p4062 @p4032)) % 0.97/1.16 (step @p4064 :rule eq-symm :args (tptp.notdallE @t321)) % 0.97/1.16 (step @p4065 :rule trans :premises (@p4064 @p4063)) % 0.97/1.16 (step @p4066 :rule eq_resolve :premises (@p60 @p4065)) % 0.97/1.16 (step @p4067 :rule eq_resolve :premises (@p4066 @p4029)) % 0.97/1.16 (step @p4068 :rule cong :premises (@p4067 @p4027) :args (@t2464)) % 0.97/1.16 (step @p4069 :rule bool-eq-true :args (tptp.notdexE)) % 0.97/1.16 (step @p4070 :rule symm :premises (@p4069)) % 0.97/1.16 (step @p4071 :rule bool-eq-true :args (tptp.notdexE)) % 0.97/1.16 (step @p4072 :rule eq-symm :args (true tptp.notdexE)) % 0.97/1.16 (step @p4073 :rule trans :premises (@p4072 @p4071)) % 0.97/1.16 (step @p4074 :rule refl :args (tptp.notdexE)) % 0.97/1.16 (step @p4075 :rule bool-or-taut2 :args (false @t1057 false false)) % 0.97/1.16 (step @p4076 :rule bool-impl-elim :args (@t1057 @t1057)) % 0.97/1.16 (step @p4077 :rule trans :premises (@p4076 @p4075)) % 0.97/1.16 (step @p4078 :rule cong :premises (@p4077) :args ((forall @t309 (=> @t1057 @t1057)))) % 0.97/1.16 (step @p4079 :rule trans :premises (@p4078 @p4034)) % 0.97/1.16 (step @p4080 :rule bool-impl-elim :args (@t7 @t315)) % 0.97/1.16 (step @p4081 :rule cong :premises (@p4080) :args (@t324)) % 0.97/1.16 (step @p4082 :rule trans :premises (@p4081 @p1160)) % 0.97/1.16 (step @p4083 :rule bool-double-not-elim :args (@t1057)) % 0.97/1.16 (step @p4084 :rule cong :premises (@p1166) :args (@t323)) % 0.97/1.16 (step @p4085 :rule trans :premises (@p4084 @p4083)) % 0.97/1.16 (step @p4086 :rule cong :premises (@p4085 @p4082) :args (@t328)) % 0.97/1.16 (step @p4087 :rule cong :premises (@p4086) :args (@t329)) % 0.97/1.16 (step @p4088 :rule trans :premises (@p4087 @p4079)) % 0.97/1.16 (step @p4089 :rule cong :premises (@p4088 @p4074) :args ((= @t329 tptp.notdexE))) % 0.97/1.16 (step @p4090 :rule trans :premises (@p4089 @p4073)) % 0.97/1.16 (step @p4091 :rule eq-symm :args (tptp.notdexE @t329)) % 0.97/1.16 (step @p4092 :rule trans :premises (@p4091 @p4090)) % 0.97/1.16 (step @p4093 :rule eq_resolve :premises (@p59 @p4092)) % 0.97/1.16 (step @p4094 :rule eq_resolve :premises (@p4093 @p4070)) % 0.97/1.16 (step @p4095 :rule cong :premises (@p4094 @p4068) :args (@t2465)) % 0.97/1.16 (step @p4096 :rule aci_norm :args ((= (or false @t1246) @t1246))) % 0.97/1.16 (step @p4097 :rule nary_cong :premises (@p434 @p360) :args (@t2466)) % 0.97/1.16 (step @p4098 :rule trans :premises (@p4097 @p4096)) % 0.97/1.16 (step @p4099 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2469 @t2034 @t2468)) @t2466))) % 0.97/1.16 (step @p4100 :rule refl :args (@t2468)) % 0.97/1.16 (step @p4101 :rule bool-eq-true :args (@t173)) % 0.97/1.16 (step @p4102 :rule symm :premises (@p4101)) % 0.97/1.16 (step @p4103 :rule cong :premises (@p4102) :args (@t2034)) % 0.97/1.16 (step @p4104 :rule nary_cong :premises (@p4103 @p2232 @p4100) :args (@t2470)) % 0.97/1.16 (step @p4105 :rule aci_norm :args ((= @t2471 @t2470))) % 0.97/1.16 (step @p4106 :rule trans :premises (@p4105 @p4104)) % 0.97/1.16 (step @p4107 :rule cong :premises (@p4106) :args ((forall @t179 @t2471))) % 0.97/1.16 (step @p4108 :rule trans :premises (@p4107 @p4099)) % 0.97/1.16 (step @p4109 :rule trans :premises (@p4108 @p4098)) % 0.97/1.16 (step @p4110 :rule refl :args ((tptp.set2prop @t174))) % 0.97/1.16 (step @p4111 :rule refl :args (@t2467)) % 0.97/1.16 (step @p4112 :rule cong :premises (@p4111) :args (@t2468)) % 0.97/1.16 (step @p4113 :rule trans :premises (@p4112 @p4110)) % 0.97/1.16 (step @p4114 :rule refl :args (tptp.set2prop)) % 0.97/1.16 (step @p4115 :rule ho_cong :premises (@p4114 @p4111)) % 0.97/1.16 (step @p4116 :rule cong :premises (@p4115 @p4113) :args ((= (_ tptp.set2prop @t2467) @t2468))) % 0.97/1.16 (step @p4117 :rule symm :premises (@p4116)) % 0.97/1.16 (step @p4118 :rule refl :args (@t337)) % 0.97/1.16 (step @p4119 :rule eq_resolve :premises (@p4118 @p4117)) % 0.97/1.16 (step @p4120 :rule refl :args (@t174)) % 0.97/1.16 (step @p4121 :rule cong :premises (@p4120 @p4111) :args ((= @t174 @t2467))) % 0.97/1.16 (step @p4122 :rule symm :premises (@p4121)) % 0.97/1.16 (step @p4123 :rule eq_resolve :premises (@p4120 @p4122)) % 0.97/1.16 (step @p4124 :rule ho_cong :premises (@p4114 @p4123)) % 0.97/1.16 (step @p4125 :rule trans :premises (@p4124 @p4119)) % 0.97/1.16 (step @p4126 :rule nary_cong :premises (@p2232 @p4125) :args (@t2472)) % 0.97/1.16 (step @p4127 :rule cong :premises (@p4126) :args ((forall @t179 @t2472))) % 0.97/1.16 (step @p4128 :rule trans :premises (@p4127 @p4109)) % 0.97/1.16 (step @p4129 :rule bool-impl-elim :args (@t173 @t337)) % 0.97/1.16 (step @p4130 :rule cong :premises (@p4129) :args (@t338)) % 0.97/1.16 (step @p4131 :rule trans :premises (@p4130 @p4128)) % 0.97/1.16 (step @p4132 :rule refl :args (tptp.prop2set2propI)) % 0.97/1.16 (step @p4133 :rule cong :premises (@p4132 @p4131) :args (@t339)) % 0.97/1.16 (step @p4134 :rule eq_resolve :premises (@p58 @p4133)) % 0.97/1.16 (step @p4135 :rule cong :premises (@p4134 @p4095) :args (@t2473)) % 0.97/1.16 (step @p4136 :rule aci_norm :args ((= (or false @t1248) @t1248))) % 0.97/1.16 (step @p4137 :rule nary_cong :premises (@p434 @p362) :args (@t2474)) % 0.97/1.16 (step @p4138 :rule trans :premises (@p4137 @p4136)) % 0.97/1.16 (step @p4139 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2469 @t2034 @t2475)) @t2474))) % 0.97/1.16 (step @p4140 :rule refl :args (@t2475)) % 0.97/1.16 (step @p4141 :rule nary_cong :premises (@p4103 @p2232 @p4140) :args (@t2476)) % 0.97/1.16 (step @p4142 :rule aci_norm :args ((= @t2477 @t2476))) % 0.97/1.16 (step @p4143 :rule trans :premises (@p4142 @p4141)) % 0.97/1.16 (step @p4144 :rule cong :premises (@p4143) :args ((forall @t179 @t2477))) % 0.97/1.16 (step @p4145 :rule trans :premises (@p4144 @p4139)) % 0.97/1.16 (step @p4146 :rule trans :premises (@p4145 @p4138)) % 0.97/1.16 (step @p4147 :rule refl :args ((tptp.in tptp.emptyset @t174))) % 0.97/1.16 (step @p4148 :rule cong :premises (@p230 @p4111) :args (@t2475)) % 0.97/1.16 (step @p4149 :rule trans :premises (@p4148 @p4147)) % 0.97/1.16 (step @p4150 :rule ho_cong :premises (@p233 @p4111)) % 0.97/1.16 (step @p4151 :rule cong :premises (@p4150 @p4149) :args ((= (_ @t49 @t2467) @t2475))) % 0.97/1.16 (step @p4152 :rule symm :premises (@p4151)) % 0.97/1.16 (step @p4153 :rule refl :args (@t334)) % 0.97/1.16 (step @p4154 :rule eq_resolve :premises (@p4153 @p4152)) % 0.97/1.16 (step @p4155 :rule ho_cong :premises (@p233 @p4123)) % 0.97/1.16 (step @p4156 :rule trans :premises (@p4155 @p4154)) % 0.97/1.16 (step @p4157 :rule nary_cong :premises (@p2232 @p4156) :args (@t2478)) % 0.97/1.16 (step @p4158 :rule cong :premises (@p4157) :args ((forall @t179 @t2478))) % 0.97/1.16 (step @p4159 :rule trans :premises (@p4158 @p4146)) % 0.97/1.16 (step @p4160 :rule bool-impl-elim :args (@t173 @t334)) % 0.97/1.16 (step @p4161 :rule cong :premises (@p4160) :args (@t335)) % 0.97/1.16 (step @p4162 :rule trans :premises (@p4161 @p4159)) % 0.97/1.16 (step @p4163 :rule refl :args (tptp.prop2setI)) % 0.97/1.16 (step @p4164 :rule cong :premises (@p4163 @p4162) :args (@t336)) % 0.97/1.16 (step @p4165 :rule eq_resolve :premises (@p57 @p4164)) % 0.97/1.16 (step @p4166 :rule cong :premises (@p4165 @p4135) :args (@t2479)) % 0.97/1.16 (step @p4167 :rule bool-eq-true :args (tptp.quantDeMorgan4)) % 0.97/1.16 (step @p4168 :rule symm :premises (@p4167)) % 0.97/1.16 (step @p4169 :rule cong :premises (@p4054 @p4058) :args (@t331)) % 0.97/1.16 (step @p4170 :rule cong :premises (@p4169) :args (@t332)) % 0.97/1.16 (step @p4171 :rule trans :premises (@p4170 @p4043)) % 0.97/1.16 (step @p4172 :rule refl :args (tptp.quantDeMorgan4)) % 0.97/1.16 (step @p4173 :rule cong :premises (@p4172 @p4171) :args (@t333)) % 0.97/1.16 (step @p4174 :rule trans :premises (@p4173 @p4167)) % 0.97/1.16 (step @p4175 :rule eq_resolve :premises (@p56 @p4174)) % 0.97/1.16 (step @p4176 :rule eq_resolve :premises (@p4175 @p4168)) % 0.97/1.16 (step @p4177 :rule cong :premises (@p4176 @p4166) :args (@t2480)) % 0.97/1.16 (step @p4178 :rule bool-eq-true :args (tptp.quantDeMorgan3)) % 0.97/1.16 (step @p4179 :rule symm :premises (@p4178)) % 0.97/1.16 (step @p4180 :rule refl :args (tptp.quantDeMorgan3)) % 0.97/1.16 (step @p4181 :rule cong :premises (@p4180 @p4088) :args (@t330)) % 0.97/1.16 (step @p4182 :rule trans :premises (@p4181 @p4178)) % 0.97/1.16 (step @p4183 :rule eq_resolve :premises (@p55 @p4182)) % 0.97/1.16 (step @p4184 :rule eq_resolve :premises (@p4183 @p4179)) % 0.97/1.16 (step @p4185 :rule cong :premises (@p4184 @p4177) :args (@t2481)) % 0.97/1.16 (step @p4186 :rule bool-eq-true :args (tptp.quantDeMorgan2)) % 0.97/1.16 (step @p4187 :rule symm :premises (@p4186)) % 0.97/1.16 (step @p4188 :rule cong :premises (@p4082 @p4085) :args (@t325)) % 0.97/1.16 (step @p4189 :rule cong :premises (@p4188) :args (@t326)) % 0.97/1.16 (step @p4190 :rule trans :premises (@p4189 @p4079)) % 0.97/1.16 (step @p4191 :rule refl :args (tptp.quantDeMorgan2)) % 0.97/1.16 (step @p4192 :rule cong :premises (@p4191 @p4190) :args (@t327)) % 0.97/1.16 (step @p4193 :rule trans :premises (@p4192 @p4186)) % 0.97/1.16 (step @p4194 :rule eq_resolve :premises (@p54 @p4193)) % 0.97/1.16 (step @p4195 :rule eq_resolve :premises (@p4194 @p4187)) % 0.97/1.16 (step @p4196 :rule cong :premises (@p4195 @p4185) :args (@t2482)) % 0.97/1.16 (step @p4197 :rule bool-eq-true :args (tptp.quantDeMorgan1)) % 0.97/1.16 (step @p4198 :rule symm :premises (@p4197)) % 0.97/1.16 (step @p4199 :rule refl :args (tptp.quantDeMorgan1)) % 0.97/1.16 (step @p4200 :rule cong :premises (@p4199 @p4061) :args (@t322)) % 0.97/1.16 (step @p4201 :rule trans :premises (@p4200 @p4197)) % 0.97/1.16 (step @p4202 :rule eq_resolve :premises (@p53 @p4201)) % 0.97/1.16 (step @p4203 :rule eq_resolve :premises (@p4202 @p4198)) % 0.97/1.16 (step @p4204 :rule cong :premises (@p4203 @p4196) :args (@t2483)) % 0.97/1.16 (step @p4205 :rule refl :args (@t1250)) % 0.97/1.16 (step @p4206 :rule refl :args (@t15)) % 0.97/1.16 (step @p4207 :rule cong :premises (@p4206 @p4205) :args ((= @t15 @t1250))) % 0.97/1.16 (step @p4208 :rule symm :premises (@p4207)) % 0.97/1.16 (step @p4209 :rule eq_resolve :premises (@p4206 @p4208)) % 0.97/1.16 (step @p4210 :rule cong :premises (@p4209) :args (@t16)) % 0.97/1.16 (step @p4211 :rule nary_cong :premises (@p4210 @p1157) :args (@t2484)) % 0.97/1.16 (step @p4212 :rule cong :premises (@p4211) :args ((forall @t312 @t2484))) % 0.97/1.16 (step @p4213 :rule bool-impl-elim :args (@t15 @t144)) % 0.97/1.16 (step @p4214 :rule cong :premises (@p4213) :args (@t313)) % 0.97/1.16 (step @p4215 :rule trans :premises (@p4214 @p4212)) % 0.97/1.16 (step @p4216 :rule refl :args (tptp.vacuousDall)) % 0.97/1.16 (step @p4217 :rule cong :premises (@p4216 @p4215) :args (@t314)) % 0.97/1.16 (step @p4218 :rule eq_resolve :premises (@p52 @p4217)) % 0.97/1.16 (step @p4219 :rule cong :premises (@p4218 @p4204) :args (@t2485)) % 0.97/1.16 (step @p4220 :rule aci_norm :args ((= @t2487 @t1258))) % 0.97/1.16 (step @p4221 :rule cong :premises (@p4220) :args (@t2488)) % 0.97/1.16 (step @p4222 :rule quant-merge-prenex :args ((= (forall @t309 @t2490) @t2488))) % 0.97/1.16 (step @p4223 :rule refl :args (@t1257)) % 0.97/1.16 (step @p4224 :rule alpha_equiv :args (@t2491 (@list @t1254) @t1631)) % 0.97/1.16 (step @p4225 :rule nary_cong :premises (@p4224 @p4223) :args (@t2492)) % 0.97/1.16 (step @p4226 :rule quant-miniscope-or :args ((= @t2490 @t2492))) % 0.97/1.16 (step @p4227 :rule trans :premises (@p4226 @p4225)) % 0.97/1.16 (step @p4228 :rule symm :premises (@p4227)) % 0.97/1.16 (step @p4229 :rule cong :premises (@p4228) :args ((forall @t309 (or @t1057 @t1257)))) % 0.97/1.16 (step @p4230 :rule trans :premises (@p4229 @p4222)) % 0.97/1.16 (step @p4231 :rule trans :premises (@p4230 @p4221)) % 0.97/1.16 (step @p4232 :rule cong :premises (@p183 @p2805) :args (@t2493)) % 0.97/1.16 (step @p4233 :rule cong :premises (@p4232) :args (@t2494)) % 0.97/1.16 (step @p4234 :rule refl :args (@t1057)) % 0.97/1.16 (step @p4235 :rule nary_cong :premises (@p4234 @p4233) :args (@t2495)) % 0.97/1.16 (step @p4236 :rule cong :premises (@p4235) :args ((forall @t309 @t2495))) % 0.97/1.16 (step @p4237 :rule trans :premises (@p4236 @p4231)) % 0.97/1.16 (step @p4238 :rule cong :premises (@p230 @p2828) :args (@t2496)) % 0.97/1.16 (step @p4239 :rule cong :premises (@p4238) :args (@t2497)) % 0.97/1.16 (step @p4240 :rule refl :args (@t1057)) % 0.97/1.16 (step @p4241 :rule nary_cong :premises (@p4240 @p4239) :args (@t2498)) % 0.97/1.16 (step @p4242 :rule cong :premises (@p4241) :args ((forall @t309 @t2498))) % 0.97/1.16 (step @p4243 :rule trans :premises (@p4242 @p4237)) % 0.97/1.16 (step @p4244 :rule refl :args (@t2497)) % 0.97/1.16 (step @p4245 :rule nary_cong :premises (@p1103 @p4244) :args ((or @t1737 @t2497))) % 0.97/1.16 (step @p4246 :rule bool-impl-elim :args (@t1058 @t2497)) % 0.97/1.16 (step @p4247 :rule trans :premises (@p4246 @p4245)) % 0.97/1.16 (step @p4248 :rule cong :premises (@p4247) :args ((forall @t309 (=> @t1058 @t2497)))) % 0.97/1.16 (step @p4249 :rule trans :premises (@p4248 @p4243)) % 0.97/1.16 (step @p4250 :rule eq-symm :args (@t304 tptp.emptyset)) % 0.97/1.16 (step @p4251 :rule cong :premises (@p4250) :args ((not @t305))) % 0.97/1.16 (step @p4252 :rule bool-impl-false1 :args (@t305)) % 0.97/1.16 (step @p4253 :rule trans :premises (@p4252 @p4251)) % 0.97/1.16 (step @p4254 :rule cong :premises (@p1166 @p4253) :args (@t308)) % 0.97/1.16 (step @p4255 :rule cong :premises (@p4254) :args (@t310)) % 0.97/1.16 (step @p4256 :rule trans :premises (@p4255 @p4249)) % 0.97/1.16 (step @p4257 :rule refl :args (tptp.emptyE1)) % 0.97/1.16 (step @p4258 :rule cong :premises (@p4257 @p4256) :args (@t311)) % 0.97/1.16 (step @p4259 :rule eq_resolve :premises (@p51 @p4258)) % 0.97/1.16 (step @p4260 :rule cong :premises (@p4259 @p4219) :args (@t2499)) % 0.97/1.16 (step @p4261 :rule refl :args (tptp.upairsetIR)) % 0.97/1.16 (step @p4262 :rule cong :premises (@p4261 @p2095) :args (@t303)) % 0.97/1.16 (step @p4263 :rule eq_resolve :premises (@p50 @p4262)) % 0.97/1.16 (step @p4264 :rule cong :premises (@p4263 @p4260) :args (@t2500)) % 0.97/1.16 (step @p4265 :rule refl :args ((tptp.in @t4 @t291))) % 0.97/1.16 (step @p4266 :rule cong :premises (@p505 @p507) :args (@t1263)) % 0.97/1.16 (step @p4267 :rule trans :premises (@p4266 @p4265)) % 0.97/1.16 (step @p4268 :rule ho_cong :premises (@p984 @p507)) % 0.97/1.16 (step @p4269 :rule cong :premises (@p4268 @p4267) :args ((= (_ @t5 @t977) @t1263))) % 0.97/1.16 (step @p4270 :rule symm :premises (@p4269)) % 0.97/1.16 (step @p4271 :rule refl :args (@t298)) % 0.97/1.16 (step @p4272 :rule eq_resolve :premises (@p4271 @p4270)) % 0.97/1.16 (step @p4273 :rule ho_cong :premises (@p984 @p536)) % 0.97/1.16 (step @p4274 :rule trans :premises (@p4273 @p4272)) % 0.97/1.16 (step @p4275 :rule cong :premises (@p4274) :args (@t299)) % 0.97/1.16 (step @p4276 :rule refl :args (tptp.upairsetIL)) % 0.97/1.16 (step @p4277 :rule cong :premises (@p4276 @p4275) :args (@t300)) % 0.97/1.16 (step @p4278 :rule eq_resolve :premises (@p49 @p4277)) % 0.97/1.16 (step @p4279 :rule cong :premises (@p4278 @p4264) :args (@t2501)) % 0.97/1.16 (step @p4280 :rule refl :args (tptp.upairsetE)) % 0.97/1.16 (step @p4281 :rule cong :premises (@p4280 @p1928) :args (@t297)) % 0.97/1.16 (step @p4282 :rule eq_resolve :premises (@p48 @p4281)) % 0.97/1.16 (step @p4283 :rule cong :premises (@p4282 @p4279) :args (@t2502)) % 0.97/1.16 (step @p4284 :rule refl :args ((tptp.in @t19 @t279))) % 0.97/1.16 (step @p4285 :rule cong :premises (@p1013 @p510) :args (@t1267)) % 0.97/1.16 (step @p4286 :rule trans :premises (@p4285 @p4284)) % 0.97/1.16 (step @p4287 :rule ho_cong :premises (@p1016 @p510)) % 0.97/1.16 (step @p4288 :rule cong :premises (@p4287 @p4286) :args ((= (_ @t20 @t981) @t1267))) % 0.97/1.16 (step @p4289 :rule symm :premises (@p4288)) % 0.97/1.16 (step @p4290 :rule refl :args (@t280)) % 0.97/1.16 (step @p4291 :rule eq_resolve :premises (@p4290 @p4289)) % 0.97/1.16 (step @p4292 :rule ho_cong :premises (@p1016 @p543)) % 0.97/1.16 (step @p4293 :rule trans :premises (@p4292 @p4291)) % 0.97/1.16 (step @p4294 :rule refl :args ((tptp.in @t4 @t275))) % 0.97/1.16 (step @p4295 :rule cong :premises (@p505 @p504) :args (@t1268)) % 0.97/1.16 (step @p4296 :rule trans :premises (@p4295 @p4294)) % 0.97/1.16 (step @p4297 :rule ho_cong :premises (@p984 @p504)) % 0.97/1.16 (step @p4298 :rule cong :premises (@p4297 @p4296) :args ((= (_ @t5 @t976) @t1268))) % 0.97/1.16 (step @p4299 :rule symm :premises (@p4298)) % 0.97/1.16 (step @p4300 :rule refl :args (@t276)) % 0.97/1.16 (step @p4301 :rule eq_resolve :premises (@p4300 @p4299)) % 0.97/1.16 (step @p4302 :rule ho_cong :premises (@p984 @p534)) % 0.97/1.16 (step @p4303 :rule trans :premises (@p4302 @p4301)) % 0.97/1.16 (step @p4304 :rule cong :premises (@p4303) :args (@t2503)) % 0.97/1.16 (step @p4305 :rule nary_cong :premises (@p4304 @p4293) :args (@t2504)) % 0.97/1.16 (step @p4306 :rule cong :premises (@p4305) :args ((forall @t135 @t2504))) % 0.97/1.16 (step @p4307 :rule bool-impl-elim :args (@t276 @t280)) % 0.97/1.16 (step @p4308 :rule cong :premises (@p4307) :args (@t287)) % 0.97/1.16 (step @p4309 :rule trans :premises (@p4308 @p4306)) % 0.97/1.16 (step @p4310 :rule refl :args (tptp.singletonsswitch)) % 0.97/1.16 (step @p4311 :rule cong :premises (@p4310 @p4309) :args (@t288)) % 0.97/1.16 (step @p4312 :rule eq_resolve :premises (@p47 @p4311)) % 0.97/1.16 (step @p4313 :rule cong :premises (@p4312 @p4283) :args (@t2505)) % 0.97/1.16 (step @p4314 :rule aci_norm :args ((= (or false @t1272) @t1272))) % 0.97/1.16 (step @p4315 :rule refl :args (@t1272)) % 0.97/1.16 (step @p4316 :rule nary_cong :premises (@p569 @p4315) :args (@t2506)) % 0.97/1.16 (step @p4317 :rule trans :premises (@p4316 @p4314)) % 0.97/1.16 (step @p4318 :rule cong :premises (@p4317) :args ((forall @t70 @t2506))) % 0.97/1.16 (step @p4319 :rule quant-var-elim-eq :args ((= (forall @t9 @t2507) @t2506))) % 0.97/1.16 (step @p4320 :rule aci_norm :args ((= @t2508 @t2507))) % 0.97/1.16 (step @p4321 :rule cong :premises (@p4320) :args (@t2509)) % 0.97/1.16 (step @p4322 :rule trans :premises (@p4321 @p4319)) % 0.97/1.16 (step @p4323 :rule cong :premises (@p4322) :args (@t2510)) % 0.97/1.16 (step @p4324 :rule quant-merge-prenex :args ((= @t2510 @t2511))) % 0.97/1.16 (step @p4325 :rule symm :premises (@p4324)) % 0.97/1.16 (step @p4326 :rule quant_var_reordering :args ((= (forall @t135 @t2508) @t2511))) % 0.97/1.16 (step @p4327 :rule trans :premises (@p4326 @p4325 @p4323)) % 0.97/1.16 (step @p4328 :rule trans :premises (@p4327 @p4318)) % 0.97/1.16 (step @p4329 :rule nary_cong :premises (@p594 @p4303) :args (@t2512)) % 0.97/1.16 (step @p4330 :rule cong :premises (@p4329) :args ((forall @t135 @t2512))) % 0.97/1.16 (step @p4331 :rule trans :premises (@p4330 @p4328)) % 0.97/1.16 (step @p4332 :rule bool-impl-elim :args (@t129 @t276)) % 0.97/1.16 (step @p4333 :rule cong :premises (@p4332) :args (@t285)) % 0.97/1.16 (step @p4334 :rule trans :premises (@p4333 @p4331)) % 0.97/1.16 (step @p4335 :rule refl :args (tptp.eqinunit)) % 0.97/1.16 (step @p4336 :rule cong :premises (@p4335 @p4334) :args (@t286)) % 0.97/1.16 (step @p4337 :rule eq_resolve :premises (@p46 @p4336)) % 0.97/1.16 (step @p4338 :rule cong :premises (@p4337 @p4313) :args (@t2513)) % 0.97/1.16 (step @p4339 :rule cong :premises (@p4293) :args (@t281)) % 0.97/1.16 (step @p4340 :rule nary_cong :premises (@p1072 @p4339) :args (@t2514)) % 0.97/1.16 (step @p4341 :rule cong :premises (@p4340) :args ((forall @t135 @t2514))) % 0.97/1.16 (step @p4342 :rule refl :args (@t281)) % 0.97/1.16 (step @p4343 :rule bool-double-not-elim :args (@t129)) % 0.97/1.16 (step @p4344 :rule nary_cong :premises (@p4343 @p4342) :args ((or (not @t282) @t281))) % 0.97/1.16 (step @p4345 :rule bool-impl-elim :args (@t282 @t281)) % 0.97/1.16 (step @p4346 :rule trans :premises (@p4345 @p4344)) % 0.97/1.16 (step @p4347 :rule cong :premises (@p4346) :args (@t283)) % 0.97/1.16 (step @p4348 :rule trans :premises (@p4347 @p4341)) % 0.97/1.16 (step @p4349 :rule refl :args (tptp.notinsingleton)) % 0.97/1.16 (step @p4350 :rule cong :premises (@p4349 @p4348) :args (@t284)) % 0.97/1.16 (step @p4351 :rule eq_resolve :premises (@p45 @p4350)) % 0.97/1.16 (step @p4352 :rule cong :premises (@p4351 @p4338) :args (@t2515)) % 0.97/1.16 (step @p4353 :rule nary_cong :premises (@p4304 @p1072) :args (@t2516)) % 0.97/1.16 (step @p4354 :rule cong :premises (@p4353) :args ((forall @t135 @t2516))) % 0.97/1.16 (step @p4355 :rule bool-impl-elim :args (@t276 @t129)) % 0.97/1.16 (step @p4356 :rule cong :premises (@p4355) :args (@t277)) % 0.97/1.16 (step @p4357 :rule trans :premises (@p4356 @p4354)) % 0.97/1.16 (step @p4358 :rule refl :args (tptp.uniqinunit)) % 0.97/1.16 (step @p4359 :rule cong :premises (@p4358 @p4357) :args (@t278)) % 0.97/1.16 (step @p4360 :rule eq_resolve :premises (@p44 @p4359)) % 0.97/1.16 (step @p4361 :rule cong :premises (@p4360 @p4352) :args (@t2517)) % 0.97/1.16 (step @p4362 :rule refl :args (@t1280)) % 0.97/1.16 (step @p4363 :rule bool-double-not-elim :args (@t196)) % 0.97/1.16 (step @p4364 :rule nary_cong :premises (@p4363 @p4362) :args ((or (not @t2518) @t1280))) % 0.97/1.16 (step @p4365 :rule bool-impl-elim :args (@t2518 @t1280)) % 0.97/1.16 (step @p4366 :rule trans :premises (@p4365 @p4364)) % 0.97/1.16 (step @p4367 :rule cong :premises (@p4366) :args ((forall @t64 (=> @t2518 @t1280)))) % 0.97/1.16 (step @p4368 :rule cong :premises (@p839) :args (@t198)) % 0.97/1.16 (step @p4369 :rule cong :premises (@p4368) :args (@t2519)) % 0.97/1.16 (step @p4370 :rule exists-elim :args ((= @t89 @t2519))) % 0.97/1.16 (step @p4371 :rule trans :premises (@p4370 @p4369)) % 0.97/1.16 (step @p4372 :rule aci_norm :args ((= @t269 @t7))) % 0.97/1.16 (step @p4373 :rule cong :premises (@p4372) :args (@t270)) % 0.97/1.16 (step @p4374 :rule trans :premises (@p4373 @p4371)) % 0.97/1.16 (step @p4375 :rule beta-reduce :args ((= @t2520 @t2518))) % 0.97/1.16 (step @p4376 :rule cong :premises (@p4375 @p4374) :args (@t2521)) % 0.97/1.16 (step @p4377 :rule cong :premises (@p4376) :args (@t2522)) % 0.97/1.16 (step @p4378 :rule trans :premises (@p4377 @p4367)) % 0.97/1.16 (step @p4379 :rule refl :args (tptp.nonemptyImpWitness)) % 0.97/1.16 (step @p4380 :rule cong :premises (@p4379 @p4378) :args ((= tptp.nonemptyImpWitness @t2522))) % 0.97/1.16 (step @p4381 :rule refl :args (@t270)) % 0.97/1.16 (step @p4382 :rule ho_cong :premises (@p172 @p1114)) % 0.97/1.16 (step @p4383 :rule cong :premises (@p4382 @p4381) :args (@t271)) % 0.97/1.16 (step @p4384 :rule cong :premises (@p4383) :args (@t272)) % 0.97/1.16 (step @p4385 :rule cong :premises (@p4379 @p4384) :args (@t273)) % 0.97/1.16 (step @p4386 :rule trans :premises (@p4385 @p4380)) % 0.97/1.16 (step @p4387 :rule eq_resolve :premises (@p43 @p4386)) % 0.97/1.16 (step @p4388 :rule cong :premises (@p4387 @p4361) :args (@t2523)) % 0.97/1.16 (step @p4389 :rule eq-symm :args (@t1283 @t19)) % 0.97/1.16 (step @p4390 :rule nary_cong :premises (@p3387 @p4389) :args (@t2524)) % 0.97/1.16 (step @p4391 :rule cong :premises (@p4390) :args (@t2525)) % 0.97/1.16 (step @p4392 :rule cong :premises (@p4391) :args (@t2526)) % 0.97/1.16 (step @p4393 :rule refl :args (@t1284)) % 0.97/1.16 (step @p4394 :rule refl :args (@t1287)) % 0.97/1.16 (step @p4395 :rule nary_cong :premises (@p4394 @p4393 @p4392) :args (@t2527)) % 0.97/1.16 (step @p4396 :rule aci_norm :args ((= @t2529 @t2527))) % 0.97/1.16 (step @p4397 :rule trans :premises (@p4396 @p4395)) % 0.97/1.16 (step @p4398 :rule cong :premises (@p4397) :args (@t2530)) % 0.97/1.16 (step @p4399 :rule quant-merge-prenex :args ((= (forall @t150 @t2532) @t2530))) % 0.97/1.16 (step @p4400 :rule refl :args (@t1287)) % 0.97/1.16 (step @p4401 :rule alpha_equiv :args (@t2533 (@list @t1283) @t1631)) % 0.97/1.16 (step @p4402 :rule nary_cong :premises (@p4401 @p4400) :args (@t2534)) % 0.97/1.16 (step @p4403 :rule quant-miniscope-or :args ((= @t2532 @t2534))) % 0.97/1.16 (step @p4404 :rule trans :premises (@p4403 @p4402)) % 0.97/1.16 (step @p4405 :rule symm :premises (@p4404)) % 0.97/1.16 (step @p4406 :rule cong :premises (@p4405) :args ((forall @t150 (or @t1231 @t1287)))) % 0.97/1.16 (step @p4407 :rule trans :premises (@p4406 @p4399)) % 0.97/1.16 (step @p4408 :rule trans :premises (@p4407 @p4398)) % 0.97/1.16 (step @p4409 :rule nary_cong :premises (@p3455 @p4400) :args ((or @t2261 @t1287))) % 0.97/1.16 (step @p4410 :rule bool-impl-elim :args (@t1232 @t1287)) % 0.97/1.16 (step @p4411 :rule trans :premises (@p4410 @p4409)) % 0.97/1.16 (step @p4412 :rule cong :premises (@p4411) :args ((forall @t150 (=> @t1232 @t1287)))) % 0.97/1.16 (step @p4413 :rule trans :premises (@p4412 @p4408)) % 0.97/1.16 (step @p4414 :rule cong :premises (@p3507 @p3951) :args (@t2535)) % 0.97/1.16 (step @p4415 :rule cong :premises (@p4414) :args (@t2536)) % 0.97/1.16 (step @p4416 :rule trans :premises (@p4415 @p4413)) % 0.97/1.16 (step @p4417 :rule refl :args (tptp.exuE2)) % 0.97/1.16 (step @p4418 :rule cong :premises (@p4417 @p4416) :args ((= tptp.exuE2 @t2536))) % 0.97/1.16 (step @p4419 :rule cong :premises (@p3550 @p3957) :args (@t266)) % 0.97/1.16 (step @p4420 :rule cong :premises (@p4419) :args (@t267)) % 0.97/1.16 (step @p4421 :rule cong :premises (@p4417 @p4420) :args (@t268)) % 0.97/1.16 (step @p4422 :rule trans :premises (@p4421 @p4418)) % 0.97/1.16 (step @p4423 :rule eq_resolve :premises (@p42 @p4422)) % 0.97/1.16 (step @p4424 :rule cong :premises (@p4423 @p4388) :args (@t2537)) % 0.97/1.16 (step @p4425 :rule refl :args ((tptp.in @t4 @t259))) % 0.97/1.16 (step @p4426 :rule refl :args ((tptp.powerset @t43))) % 0.97/1.16 (step @p4427 :rule cong :premises (@p981) :args (@t1291)) % 0.97/1.16 (step @p4428 :rule trans :premises (@p4427 @p4426)) % 0.97/1.16 (step @p4429 :rule cong :premises (@p505 @p4428) :args (@t1292)) % 0.97/1.16 (step @p4430 :rule trans :premises (@p4429 @p4425)) % 0.97/1.16 (step @p4431 :rule ho_cong :premises (@p984 @p4428)) % 0.97/1.16 (step @p4432 :rule cong :premises (@p4431 @p4430) :args ((= (_ @t5 @t1291) @t1292))) % 0.97/1.16 (step @p4433 :rule symm :premises (@p4432)) % 0.97/1.16 (step @p4434 :rule refl :args (@t260)) % 0.97/1.16 (step @p4435 :rule eq_resolve :premises (@p4434 @p4433)) % 0.97/1.16 (step @p4436 :rule ho_cong :premises (@p1722 @p981)) % 0.97/1.16 (step @p4437 :rule cong :premises (@p4436 @p4428) :args ((= (_ tptp.powerset @t1069) @t1291))) % 0.97/1.16 (step @p4438 :rule symm :premises (@p4437)) % 0.97/1.16 (step @p4439 :rule refl :args (@t259)) % 0.97/1.16 (step @p4440 :rule eq_resolve :premises (@p4439 @p4438)) % 0.97/1.16 (step @p4441 :rule ho_cong :premises (@p1722 @p993)) % 0.97/1.16 (step @p4442 :rule trans :premises (@p4441 @p4440)) % 0.97/1.16 (step @p4443 :rule ho_cong :premises (@p984 @p4442)) % 0.97/1.16 (step @p4444 :rule trans :premises (@p4443 @p4435)) % 0.97/1.16 (step @p4445 :rule nary_cong :premises (@p839 @p4444) :args (@t2538)) % 0.97/1.16 (step @p4446 :rule cong :premises (@p4445) :args ((forall @t46 @t2538))) % 0.97/1.16 (step @p4447 :rule bool-impl-elim :args (@t7 @t260)) % 0.97/1.16 (step @p4448 :rule cong :premises (@p4447) :args (@t261)) % 0.97/1.16 (step @p4449 :rule trans :premises (@p4448 @p4446)) % 0.97/1.16 (step @p4450 :rule refl :args (tptp.subPowSU)) % 0.97/1.16 (step @p4451 :rule cong :premises (@p4450 @p4449) :args (@t262)) % 0.97/1.16 (step @p4452 :rule eq_resolve :premises (@p41 @p4451)) % 0.97/1.16 (step @p4453 :rule cong :premises (@p4452 @p4424) :args (@t2539)) % 0.97/1.16 (step @p4454 :rule refl :args (@t1298)) % 0.97/1.16 (step @p4455 :rule nary_cong :premises (@p996 @p4454) :args (@t2540)) % 0.97/1.16 (step @p4456 :rule cong :premises (@p4455) :args ((forall @t46 @t2540))) % 0.97/1.16 (step @p4457 :rule bool-impl-elim :args (@t44 @t1298)) % 0.97/1.16 (step @p4458 :rule cong :premises (@p4457) :args ((forall @t46 (=> @t44 @t1298)))) % 0.97/1.16 (step @p4459 :rule trans :premises (@p4458 @p4456)) % 0.97/1.16 (step @p4460 :rule aci_norm :args ((= (and true @t1298) @t1298))) % 0.97/1.16 (step @p4461 :rule refl :args (@t1298)) % 0.97/1.16 (step @p4462 :rule nary_cong :premises (@p2203 @p4461) :args (@t2541)) % 0.97/1.16 (step @p4463 :rule trans :premises (@p4462 @p4460)) % 0.97/1.16 (step @p4464 :rule aci_norm :args ((= @t2542 @t2541))) % 0.97/1.16 (step @p4465 :rule trans :premises (@p4464 @p4463)) % 0.97/1.16 (step @p4466 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2037 @t2543 @t173)) @t2542))) % 0.97/1.16 (step @p4467 :rule refl :args (@t2543)) % 0.97/1.16 (step @p4468 :rule nary_cong :premises (@p2225 @p4467 @p2217) :args (@t2544)) % 0.97/1.16 (step @p4469 :rule aci_norm :args ((= @t2545 @t2544))) % 0.97/1.16 (step @p4470 :rule trans :premises (@p4469 @p4468)) % 0.97/1.16 (step @p4471 :rule cong :premises (@p4470) :args ((forall @t179 @t2545))) % 0.97/1.16 (step @p4472 :rule trans :premises (@p4471 @p4466)) % 0.97/1.16 (step @p4473 :rule trans :premises (@p4472 @p4465)) % 0.97/1.16 (step @p4474 :rule bool-or-de-morgan :args (@t173 @t1297 false)) % 0.97/1.16 (step @p4475 :rule nary_cong :premises (@p4474 @p2217) :args ((or (not @t2546) @t173))) % 0.97/1.16 (step @p4476 :rule bool-impl-elim :args (@t2546 @t173)) % 0.97/1.16 (step @p4477 :rule trans :premises (@p4476 @p4475)) % 0.97/1.16 (step @p4478 :rule cong :premises (@p4477) :args ((forall @t179 (=> @t2546 @t173)))) % 0.97/1.16 (step @p4479 :rule trans :premises (@p4478 @p4473)) % 0.97/1.16 (step @p4480 :rule refl :args (@t173)) % 0.97/1.16 (step @p4481 :rule refl :args (@t1295)) % 0.97/1.16 (step @p4482 :rule refl :args (@t39)) % 0.97/1.16 (step @p4483 :rule cong :premises (@p4482 @p4481) :args ((= @t39 @t1295))) % 0.97/1.16 (step @p4484 :rule symm :premises (@p4483)) % 0.97/1.16 (step @p4485 :rule eq_resolve :premises (@p4482 @p4484)) % 0.97/1.16 (step @p4486 :rule cong :premises (@p4485) :args (@t2547)) % 0.97/1.16 (step @p4487 :rule nary_cong :premises (@p2145 @p4486) :args (@t2548)) % 0.97/1.16 (step @p4488 :rule cong :premises (@p4487) :args (@t2549)) % 0.97/1.16 (step @p4489 :rule nary_cong :premises (@p4480 @p4488) :args (@t2550)) % 0.97/1.16 (step @p4490 :rule quant-miniscope-or :args ((= (forall @t41 @t2551) @t2550))) % 0.97/1.16 (step @p4491 :rule aci_norm :args ((= @t2552 @t2551))) % 0.97/1.16 (step @p4492 :rule cong :premises (@p4491) :args ((forall @t41 @t2552))) % 0.97/1.16 (step @p4493 :rule trans :premises (@p4492 @p4490)) % 0.97/1.16 (step @p4494 :rule trans :premises (@p4493 @p4489)) % 0.97/1.16 (step @p4495 :rule aci_norm :args ((= (or @t435 (or @t2547 @t173)) @t2552))) % 0.97/1.16 (step @p4496 :rule bool-impl-elim :args (@t39 @t173)) % 0.97/1.16 (step @p4497 :rule refl :args (@t435)) % 0.97/1.16 (step @p4498 :rule nary_cong :premises (@p4497 @p4496) :args ((or @t435 @t252))) % 0.97/1.16 (step @p4499 :rule trans :premises (@p4498 @p4495)) % 0.97/1.16 (step @p4500 :rule bool-impl-elim :args (@t6 @t252)) % 0.97/1.16 (step @p4501 :rule trans :premises (@p4500 @p4499)) % 0.97/1.16 (step @p4502 :rule cong :premises (@p4501) :args (@t253)) % 0.97/1.16 (step @p4503 :rule trans :premises (@p4502 @p4494)) % 0.97/1.16 (step @p4504 :rule cong :premises (@p4503 @p4480) :args (@t254)) % 0.97/1.16 (step @p4505 :rule cong :premises (@p4504) :args (@t255)) % 0.97/1.16 (step @p4506 :rule trans :premises (@p4505 @p4479)) % 0.97/1.16 (step @p4507 :rule cong :premises (@p1033 @p4506) :args (@t256)) % 0.97/1.16 (step @p4508 :rule cong :premises (@p4507) :args (@t257)) % 0.97/1.16 (step @p4509 :rule trans :premises (@p4508 @p4459)) % 0.97/1.16 (step @p4510 :rule refl :args (tptp.setunionE)) % 0.97/1.16 (step @p4511 :rule cong :premises (@p4510 @p4509) :args (@t258)) % 0.97/1.16 (step @p4512 :rule eq_resolve :premises (@p40 @p4511)) % 0.97/1.16 (step @p4513 :rule cong :premises (@p4512 @p4453) :args (@t2553)) % 0.97/1.16 (step @p4514 :rule nary_cong :premises (@p2145 @p4486 @p995) :args (@t2554)) % 0.97/1.16 (step @p4515 :rule cong :premises (@p4514) :args ((forall @t249 @t2554))) % 0.97/1.16 (step @p4516 :rule aci_norm :args ((= (or @t435 (or @t2547 @t44)) @t2554))) % 0.97/1.16 (step @p4517 :rule bool-impl-elim :args (@t39 @t44)) % 0.97/1.16 (step @p4518 :rule nary_cong :premises (@p4497 @p4517) :args ((or @t435 @t248))) % 0.97/1.16 (step @p4519 :rule trans :premises (@p4518 @p4516)) % 0.97/1.16 (step @p4520 :rule bool-impl-elim :args (@t6 @t248)) % 0.97/1.16 (step @p4521 :rule trans :premises (@p4520 @p4519)) % 0.97/1.16 (step @p4522 :rule cong :premises (@p4521) :args (@t250)) % 0.97/1.16 (step @p4523 :rule trans :premises (@p4522 @p4515)) % 0.97/1.16 (step @p4524 :rule refl :args (tptp.setunionI)) % 0.97/1.16 (step @p4525 :rule cong :premises (@p4524 @p4523) :args (@t251)) % 0.97/1.16 (step @p4526 :rule eq_resolve :premises (@p39 @p4525)) % 0.97/1.16 (step @p4527 :rule cong :premises (@p4526 @p4513) :args (@t2555)) % 0.97/1.16 (step @p4528 :rule nary_cong :premises (@p2912 @p2145 @p838) :args (@t2556)) % 0.97/1.16 (step @p4529 :rule cong :premises (@p4528) :args ((forall @t245 @t2556))) % 0.97/1.16 (step @p4530 :rule aci_norm :args ((= (or @t2137 @t2557) @t2556))) % 0.97/1.16 (step @p4531 :rule bool-impl-elim :args (@t6 @t7)) % 0.97/1.16 (step @p4532 :rule refl :args (@t2137)) % 0.97/1.16 (step @p4533 :rule nary_cong :premises (@p4532 @p4531) :args ((or @t2137 @t31))) % 0.97/1.16 (step @p4534 :rule trans :premises (@p4533 @p4530)) % 0.97/1.16 (step @p4535 :rule bool-impl-elim :args (@t35 @t31)) % 0.97/1.16 (step @p4536 :rule trans :premises (@p4535 @p4534)) % 0.97/1.16 (step @p4537 :rule cong :premises (@p4536) :args (@t246)) % 0.97/1.16 (step @p4538 :rule trans :premises (@p4537 @p4529)) % 0.97/1.16 (step @p4539 :rule refl :args (tptp.powersetE)) % 0.97/1.16 (step @p4540 :rule cong :premises (@p4539 @p4538) :args (@t247)) % 0.97/1.16 (step @p4541 :rule eq_resolve :premises (@p38 @p4540)) % 0.97/1.16 (step @p4542 :rule cong :premises (@p4541 @p4527) :args (@t2558)) % 0.97/1.16 (step @p4543 :rule eq-symm :args (@t1306 tptp.emptyInPowerset)) % 0.97/1.16 (step @p4544 :rule refl :args (tptp.emptyInPowerset)) % 0.97/1.16 (step @p4545 :rule refl :args ((tptp.in tptp.emptyset @t33))) % 0.97/1.16 (step @p4546 :rule cong :premises (@p230 @p1957) :args (@t1305)) % 0.97/1.16 (step @p4547 :rule trans :premises (@p4546 @p4545)) % 0.97/1.16 (step @p4548 :rule ho_cong :premises (@p233 @p1957)) % 0.97/1.16 (step @p4549 :rule cong :premises (@p4548 @p4547) :args ((= (_ @t49 @t1118) @t1305))) % 0.97/1.16 (step @p4550 :rule symm :premises (@p4549)) % 0.97/1.16 (step @p4551 :rule refl :args (@t242)) % 0.97/1.16 (step @p4552 :rule eq_resolve :premises (@p4551 @p4550)) % 0.97/1.16 (step @p4553 :rule ho_cong :premises (@p233 @p1968)) % 0.97/1.16 (step @p4554 :rule trans :premises (@p4553 @p4552)) % 0.97/1.16 (step @p4555 :rule cong :premises (@p4554) :args (@t243)) % 0.97/1.16 (step @p4556 :rule cong :premises (@p4555 @p4544) :args ((= @t243 tptp.emptyInPowerset))) % 0.97/1.16 (step @p4557 :rule trans :premises (@p4556 @p4543)) % 0.97/1.16 (step @p4558 :rule eq-symm :args (tptp.emptyInPowerset @t243)) % 0.97/1.16 (step @p4559 :rule trans :premises (@p4558 @p4557)) % 0.97/1.16 (step @p4560 :rule eq_resolve :premises (@p37 @p4559)) % 0.97/1.16 (step @p4561 :rule cong :premises (@p4560 @p4542) :args (@t2559)) % 0.97/1.16 (step @p4562 :rule refl :args (tptp.emptyinPowerset)) % 0.97/1.16 (step @p4563 :rule cong :premises (@p4562 @p4555) :args (@t244)) % 0.97/1.16 (step @p4564 :rule eq_resolve :premises (@p36 @p4563)) % 0.97/1.16 (step @p4565 :rule cong :premises (@p4564 @p4561) :args (@t2560)) % 0.97/1.16 (step @p4566 :rule refl :args (@t1310)) % 0.97/1.16 (step @p4567 :rule nary_cong :premises (@p4566 @p2911) :args (@t2561)) % 0.97/1.16 (step @p4568 :rule cong :premises (@p4567) :args ((forall @t12 @t2561))) % 0.97/1.16 (step @p4569 :rule bool-impl-elim :args (@t1309 @t35)) % 0.97/1.16 (step @p4570 :rule cong :premises (@p4569) :args ((forall @t12 (=> @t1309 @t35)))) % 0.97/1.16 (step @p4571 :rule trans :premises (@p4570 @p4568)) % 0.97/1.16 (step @p4572 :rule refl :args (@t35)) % 0.97/1.16 (step @p4573 :rule nary_cong :premises (@p2145 @p838) :args (@t2557)) % 0.97/1.16 (step @p4574 :rule cong :premises (@p4573) :args ((forall @t9 @t2557))) % 0.97/1.16 (step @p4575 :rule cong :premises (@p4531) :args (@t32)) % 0.97/1.16 (step @p4576 :rule trans :premises (@p4575 @p4574)) % 0.97/1.16 (step @p4577 :rule cong :premises (@p4576 @p4572) :args (@t239)) % 0.97/1.16 (step @p4578 :rule cong :premises (@p4577) :args (@t240)) % 0.97/1.16 (step @p4579 :rule trans :premises (@p4578 @p4571)) % 0.97/1.16 (step @p4580 :rule refl :args (tptp.powersetI)) % 0.97/1.16 (step @p4581 :rule cong :premises (@p4580 @p4579) :args (@t241)) % 0.97/1.16 (step @p4582 :rule eq_resolve :premises (@p35 @p4581)) % 0.97/1.16 (step @p4583 :rule cong :premises (@p4582 @p4565) :args (@t2562)) % 0.97/1.16 (step @p4584 :rule refl :args (@t1315)) % 0.97/1.16 (step @p4585 :rule refl :args (@t1314)) % 0.97/1.16 (step @p4586 :rule cong :premises (@p677 @p4585) :args (@t1315)) % 0.97/1.16 (step @p4587 :rule trans :premises (@p4586 @p4584)) % 0.97/1.16 (step @p4588 :rule ho_cong :premises (@p1248 @p4585)) % 0.97/1.16 (step @p4589 :rule cong :premises (@p4588 @p4587) :args ((= @t2563 @t1315))) % 0.97/1.16 (step @p4590 :rule symm :premises (@p4589)) % 0.97/1.16 (step @p4591 :rule refl :args ((_ @t155 @t1314))) % 0.97/1.16 (step @p4592 :rule eq_resolve :premises (@p4591 @p4590)) % 0.97/1.16 (step @p4593 :rule cong :premises (@p677 @p4592) :args (@t2564)) % 0.97/1.16 (step @p4594 :rule cong :premises (@p4593) :args ((forall @t64 @t2564))) % 0.97/1.16 (step @p4595 :rule eq-symm :args (@t2563 @t2)) % 0.97/1.16 (step @p4596 :rule symm :premises (@p4585)) % 0.97/1.16 (step @p4597 :rule alpha_equiv :args (@t235 @t1631 (@list @t1313))) % 0.97/1.16 (step @p4598 :rule trans :premises (@p4597 @p4596)) % 0.97/1.16 (step @p4599 :rule refl :args (@t155)) % 0.97/1.16 (step @p4600 :rule ho_cong :premises (@p4599 @p4598)) % 0.97/1.16 (step @p4601 :rule cong :premises (@p4600 @p1114) :args (@t236)) % 0.97/1.16 (step @p4602 :rule trans :premises (@p4601 @p4595)) % 0.97/1.16 (step @p4603 :rule cong :premises (@p4602) :args (@t237)) % 0.97/1.16 (step @p4604 :rule trans :premises (@p4603 @p4594)) % 0.97/1.16 (step @p4605 :rule refl :args (tptp.setoftrueEq)) % 0.97/1.16 (step @p4606 :rule cong :premises (@p4605 @p4604) :args (@t238)) % 0.97/1.16 (step @p4607 :rule eq_resolve :premises (@p34 @p4606)) % 0.97/1.16 (step @p4608 :rule cong :premises (@p4607 @p4583) :args (@t2565)) % 0.97/1.16 (step @p4609 :rule refl :args ((tptp.in @t19 @t25))) % 0.97/1.16 (step @p4610 :rule cong :premises (@p1013 @p3007) :args (@t1318)) % 0.97/1.16 (step @p4611 :rule trans :premises (@p4610 @p4609)) % 0.97/1.16 (step @p4612 :rule ho_cong :premises (@p1016 @p3007)) % 0.97/1.16 (step @p4613 :rule cong :premises (@p4612 @p4611) :args ((= (_ @t20 @t1176) @t1318))) % 0.97/1.16 (step @p4614 :rule symm :premises (@p4613)) % 0.97/1.16 (step @p4615 :rule refl :args (@t26)) % 0.97/1.16 (step @p4616 :rule eq_resolve :premises (@p4615 @p4614)) % 0.97/1.16 (step @p4617 :rule ho_cong :premises (@p1016 @p3018)) % 0.97/1.16 (step @p4618 :rule trans :premises (@p4617 @p4616)) % 0.97/1.16 (step @p4619 :rule cong :premises (@p4618) :args (@t2566)) % 0.97/1.16 (step @p4620 :rule nary_cong :premises (@p4619 @p1072 @p1200) :args (@t2567)) % 0.97/1.16 (step @p4621 :rule cong :premises (@p4620) :args ((forall @t28 @t2567))) % 0.97/1.16 (step @p4622 :rule aci_norm :args ((= (or @t2566 @t2568) @t2567))) % 0.97/1.16 (step @p4623 :rule bool-impl-elim :args (@t26 @t2568)) % 0.97/1.16 (step @p4624 :rule trans :premises (@p4623 @p4622)) % 0.97/1.16 (step @p4625 :rule cong :premises (@p4624) :args ((forall @t28 (=> @t26 @t2568)))) % 0.97/1.16 (step @p4626 :rule trans :premises (@p4625 @p4621)) % 0.97/1.16 (step @p4627 :rule nary_cong :premises (@p1370 @p1373) :args (@t23)) % 0.97/1.16 (step @p4628 :rule refl :args (@t26)) % 0.97/1.16 (step @p4629 :rule cong :premises (@p4628 @p4627) :args (@t232)) % 0.97/1.16 (step @p4630 :rule cong :premises (@p4629) :args (@t233)) % 0.97/1.16 (step @p4631 :rule trans :premises (@p4630 @p4626)) % 0.97/1.16 (step @p4632 :rule refl :args (tptp.setadjoinOr)) % 0.97/1.16 (step @p4633 :rule cong :premises (@p4632 @p4631) :args (@t234)) % 0.97/1.16 (step @p4634 :rule eq_resolve :premises (@p33 @p4633)) % 0.97/1.16 (step @p4635 :rule cong :premises (@p4634 @p4608) :args (@t2569)) % 0.97/1.16 (step @p4636 :rule refl :args (@t1050)) % 0.97/1.16 (step @p4637 :rule nary_cong :premises (@p4619 @p1072 @p4636) :args (@t2570)) % 0.97/1.16 (step @p4638 :rule cong :premises (@p4637) :args ((forall @t28 @t2570))) % 0.97/1.16 (step @p4639 :rule aci_norm :args ((= (or @t2566 @t1471) @t2570))) % 0.97/1.16 (step @p4640 :rule bool-impl-elim :args (@t26 @t1471)) % 0.97/1.16 (step @p4641 :rule trans :premises (@p4640 @p4639)) % 0.97/1.16 (step @p4642 :rule cong :premises (@p4641) :args ((forall @t28 (=> @t26 @t1471)))) % 0.97/1.16 (step @p4643 :rule trans :premises (@p4642 @p4638)) % 0.97/1.16 (step @p4644 :rule aci_norm :args ((= (and @t1050 true) @t1050))) % 0.97/1.16 (step @p4645 :rule refl :args (@t1050)) % 0.97/1.16 (step @p4646 :rule nary_cong :premises (@p4645 @p2203) :args (@t2571)) % 0.97/1.16 (step @p4647 :rule trans :premises (@p4646 @p4644)) % 0.97/1.16 (step @p4648 :rule aci_norm :args ((= (and @t129 true) @t129))) % 0.97/1.16 (step @p4649 :rule nary_cong :premises (@p628 @p2203) :args (@t2572)) % 0.97/1.16 (step @p4650 :rule trans :premises (@p4649 @p4648)) % 0.97/1.16 (step @p4651 :rule nary_cong :premises (@p4650 @p4647) :args (@t2573)) % 0.97/1.16 (step @p4652 :rule aci_norm :args ((= @t2574 @t2573))) % 0.97/1.16 (step @p4653 :rule trans :premises (@p4652 @p4651)) % 0.97/1.16 (step @p4654 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2037 @t2576 @t2575 @t173)) @t2574))) % 0.97/1.16 (step @p4655 :rule refl :args (@t2575)) % 0.97/1.16 (step @p4656 :rule refl :args (@t2576)) % 0.97/1.16 (step @p4657 :rule nary_cong :premises (@p2225 @p4656 @p4655 @p2217) :args (@t2577)) % 0.97/1.16 (step @p4658 :rule aci_norm :args ((= @t2578 @t2577))) % 0.97/1.16 (step @p4659 :rule trans :premises (@p4658 @p4657)) % 0.97/1.16 (step @p4660 :rule cong :premises (@p4659) :args ((forall @t179 @t2578))) % 0.97/1.16 (step @p4661 :rule trans :premises (@p4660 @p4654)) % 0.97/1.16 (step @p4662 :rule trans :premises (@p4661 @p4653)) % 0.97/1.16 (step @p4663 :rule nary_cong :premises (@p1200 @p2232) :args (@t2579)) % 0.97/1.16 (step @p4664 :rule nary_cong :premises (@p4656 @p4663 @p2217) :args (@t2580)) % 0.97/1.16 (step @p4665 :rule cong :premises (@p4664) :args ((forall @t179 @t2580))) % 0.97/1.16 (step @p4666 :rule trans :premises (@p4665 @p4662)) % 0.97/1.16 (step @p4667 :rule aci_norm :args ((= (or @t2576 (or @t2579 @t173)) @t2580))) % 0.97/1.16 (step @p4668 :rule bool-implies-de-morgan :args (@t21 @t173)) % 0.97/1.16 (step @p4669 :rule nary_cong :premises (@p4668 @p2217) :args ((or (not @t224) @t173))) % 0.97/1.16 (step @p4670 :rule bool-impl-elim :args (@t224 @t173)) % 0.97/1.16 (step @p4671 :rule trans :premises (@p4670 @p4669)) % 0.97/1.16 (step @p4672 :rule bool-implies-de-morgan :args (@t129 @t173)) % 0.97/1.16 (step @p4673 :rule nary_cong :premises (@p4672 @p4671) :args ((or (not @t2581) @t225))) % 0.97/1.16 (step @p4674 :rule trans :premises (@p4673 @p4667)) % 0.97/1.16 (step @p4675 :rule bool-impl-elim :args (@t2581 @t225)) % 0.97/1.16 (step @p4676 :rule trans :premises (@p4675 @p4674)) % 0.97/1.16 (step @p4677 :rule cong :premises (@p4676) :args ((forall @t179 (=> @t2581 @t225)))) % 0.97/1.16 (step @p4678 :rule trans :premises (@p4677 @p4666)) % 0.97/1.16 (step @p4679 :rule refl :args (@t225)) % 0.97/1.16 (step @p4680 :rule cong :premises (@p1370 @p4480) :args (@t226)) % 0.97/1.16 (step @p4681 :rule cong :premises (@p4680 @p4679) :args (@t227)) % 0.97/1.16 (step @p4682 :rule cong :premises (@p4681) :args (@t228)) % 0.97/1.16 (step @p4683 :rule trans :premises (@p4682 @p4678)) % 0.97/1.16 (step @p4684 :rule cong :premises (@p4628 @p4683) :args (@t229)) % 0.97/1.16 (step @p4685 :rule cong :premises (@p4684) :args (@t230)) % 0.97/1.16 (step @p4686 :rule trans :premises (@p4685 @p4643)) % 0.97/1.16 (step @p4687 :rule refl :args (tptp.setadjoinE)) % 0.97/1.16 (step @p4688 :rule cong :premises (@p4687 @p4686) :args (@t231)) % 0.97/1.16 (step @p4689 :rule eq_resolve :premises (@p32 @p4688)) % 0.97/1.16 (step @p4690 :rule cong :premises (@p4689 @p4635) :args (@t2582)) % 0.97/1.16 (step @p4691 :rule nary_cong :premises (@p1201 @p4618) :args (@t2583)) % 0.97/1.16 (step @p4692 :rule cong :premises (@p4691) :args ((forall @t28 @t2583))) % 0.97/1.16 (step @p4693 :rule bool-impl-elim :args (@t21 @t26)) % 0.97/1.16 (step @p4694 :rule cong :premises (@p4693) :args (@t222)) % 0.97/1.16 (step @p4695 :rule trans :premises (@p4694 @p4692)) % 0.97/1.16 (step @p4696 :rule refl :args (tptp.setadjoinIR)) % 0.97/1.16 (step @p4697 :rule cong :premises (@p4696 @p4695) :args (@t223)) % 0.97/1.16 (step @p4698 :rule eq_resolve :premises (@p31 @p4697)) % 0.97/1.16 (step @p4699 :rule cong :premises (@p4698 @p4690) :args (@t2584)) % 0.97/1.16 (step @p4700 :rule cong :premises (@p30 @p4699) :args (@t2585)) % 0.97/1.16 (step @p4701 :rule refl :args ((tptp.in @t4 @t216))) % 0.97/1.16 (step @p4702 :rule refl :args (@t1327)) % 0.97/1.16 (step @p4703 :rule cong :premises (@p505 @p4702) :args (@t1328)) % 0.97/1.16 (step @p4704 :rule trans :premises (@p4703 @p4701)) % 0.97/1.16 (step @p4705 :rule ho_cong :premises (@p984 @p4702)) % 0.97/1.16 (step @p4706 :rule cong :premises (@p4705 @p4704) :args ((= (_ @t5 @t1327) @t1328))) % 0.97/1.16 (step @p4707 :rule symm :premises (@p4706)) % 0.97/1.16 (step @p4708 :rule refl :args (@t217)) % 0.97/1.16 (step @p4709 :rule eq_resolve :premises (@p4708 @p4707)) % 0.97/1.16 (step @p4710 :rule refl :args (@t216)) % 0.97/1.16 (step @p4711 :rule cong :premises (@p4710 @p4702) :args ((= @t216 @t1327))) % 0.97/1.16 (step @p4712 :rule symm :premises (@p4711)) % 0.97/1.16 (step @p4713 :rule eq_resolve :premises (@p4710 @p4712)) % 0.97/1.16 (step @p4714 :rule ho_cong :premises (@p984 @p4713)) % 0.97/1.16 (step @p4715 :rule trans :premises (@p4714 @p4709)) % 0.97/1.16 (step @p4716 :rule cong :premises (@p4715) :args (@t218)) % 0.97/1.16 (step @p4717 :rule refl :args (tptp.setadjoinIL)) % 0.97/1.16 (step @p4718 :rule cong :premises (@p4717 @p4716) :args (@t219)) % 0.97/1.16 (step @p4719 :rule eq_resolve :premises (@p29 @p4718)) % 0.97/1.16 (step @p4720 :rule cong :premises (@p4719 @p4700) :args (@t2586)) % 0.97/1.16 (step @p4721 :rule aci_norm :args ((= (or @t1332 false) @t1332))) % 0.97/1.16 (step @p4722 :rule cong :premises (@p3752) :args (@t2587)) % 0.97/1.16 (step @p4723 :rule trans :premises (@p4722 @p434)) % 0.97/1.16 (step @p4724 :rule refl :args (@t1332)) % 0.97/1.16 (step @p4725 :rule nary_cong :premises (@p4724 @p4723) :args (@t2588)) % 0.97/1.16 (step @p4726 :rule trans :premises (@p4725 @p4721)) % 0.97/1.16 (step @p4727 :rule cong :premises (@p4726) :args ((forall @t1333 @t2588))) % 0.97/1.16 (step @p4728 :rule quant-var-elim-eq :args ((= (forall @t64 @t2590) @t2588))) % 0.97/1.16 (step @p4729 :rule aci_norm :args ((= @t2591 @t2590))) % 0.97/1.16 (step @p4730 :rule cong :premises (@p4729) :args (@t2592)) % 0.97/1.16 (step @p4731 :rule trans :premises (@p4730 @p4728)) % 0.97/1.16 (step @p4732 :rule cong :premises (@p4731) :args (@t2593)) % 0.97/1.16 (step @p4733 :rule quant-merge-prenex :args ((= @t2593 @t2594))) % 0.97/1.16 (step @p4734 :rule symm :premises (@p4733)) % 0.97/1.16 (step @p4735 :rule quant_var_reordering :args ((= @t2595 @t2594))) % 0.97/1.16 (step @p4736 :rule trans :premises (@p4735 @p4734 @p4732)) % 0.97/1.16 (step @p4737 :rule trans :premises (@p4736 @p4727)) % 0.97/1.16 (step @p4738 :rule quant-merge-prenex :args ((= (forall @t64 @t2596) @t2595))) % 0.97/1.16 (step @p4739 :rule refl :args (@t2518)) % 0.97/1.16 (step @p4740 :rule alpha_equiv :args (@t2597 (@list @t1331) @t1631)) % 0.97/1.16 (step @p4741 :rule nary_cong :premises (@p4740 @p4739) :args (@t2598)) % 0.97/1.16 (step @p4742 :rule quant-miniscope-or :args ((= @t2596 @t2598))) % 0.97/1.16 (step @p4743 :rule trans :premises (@p4742 @p4741)) % 0.97/1.16 (step @p4744 :rule symm :premises (@p4743)) % 0.97/1.16 (step @p4745 :rule cong :premises (@p4744) :args ((forall @t64 (or @t1279 @t2518)))) % 0.97/1.16 (step @p4746 :rule trans :premises (@p4745 @p4738)) % 0.97/1.16 (step @p4747 :rule trans :premises (@p4746 @p4737)) % 0.97/1.16 (step @p4748 :rule bool-double-not-elim :args (@t1279)) % 0.97/1.16 (step @p4749 :rule nary_cong :premises (@p4748 @p4739) :args ((or @t2599 @t2518))) % 0.97/1.16 (step @p4750 :rule bool-impl-elim :args (@t1280 @t2518)) % 0.97/1.16 (step @p4751 :rule trans :premises (@p4750 @p4749)) % 0.97/1.16 (step @p4752 :rule cong :premises (@p4751) :args ((forall @t64 (=> @t1280 @t2518)))) % 0.97/1.16 (step @p4753 :rule trans :premises (@p4752 @p4747)) % 0.97/1.16 (step @p4754 :rule cong :premises (@p4371 @p4375) :args (@t2600)) % 0.97/1.16 (step @p4755 :rule cong :premises (@p4754) :args (@t2601)) % 0.97/1.16 (step @p4756 :rule trans :premises (@p4755 @p4753)) % 0.97/1.16 (step @p4757 :rule refl :args (tptp.nonemptyI1)) % 0.97/1.16 (step @p4758 :rule cong :premises (@p4757 @p4756) :args ((= tptp.nonemptyI1 @t2601))) % 0.97/1.16 (step @p4759 :rule refl :args (@t89)) % 0.97/1.16 (step @p4760 :rule cong :premises (@p4759 @p4382) :args (@t213)) % 0.97/1.16 (step @p4761 :rule cong :premises (@p4760) :args (@t214)) % 0.97/1.16 (step @p4762 :rule cong :premises (@p4757 @p4761) :args (@t215)) % 0.97/1.16 (step @p4763 :rule trans :premises (@p4762 @p4758)) % 0.97/1.16 (step @p4764 :rule eq_resolve :premises (@p28 @p4763)) % 0.97/1.16 (step @p4765 :rule cong :premises (@p4764 @p4720) :args (@t2602)) % 0.97/1.16 (step @p4766 :rule cong :premises (@p183 @p1341) :args (@t2603)) % 0.97/1.16 (step @p4767 :rule cong :premises (@p4766) :args (@t2604)) % 0.97/1.16 (step @p4768 :rule refl :args (@t1033)) % 0.97/1.16 (step @p4769 :rule nary_cong :premises (@p2205 @p4768 @p4767) :args (@t2605)) % 0.97/1.16 (step @p4770 :rule cong :premises (@p4769) :args ((forall @t159 @t2605))) % 0.97/1.16 (step @p4771 :rule refl :args (@t1842)) % 0.97/1.16 (step @p4772 :rule cong :premises (@p1190) :args (@t1835)) % 0.97/1.16 (step @p4773 :rule cong :premises (@p677 @p4772) :args (@t1836)) % 0.97/1.16 (step @p4774 :rule trans :premises (@p4773 @p4771)) % 0.97/1.16 (step @p4775 :rule ho_cong :premises (@p1248 @p4772)) % 0.97/1.16 (step @p4776 :rule cong :premises (@p4775 @p4774) :args ((= (_ @t155 @t1835) @t1836))) % 0.97/1.16 (step @p4777 :rule symm :premises (@p4776)) % 0.97/1.16 (step @p4778 :rule refl :args (@t156)) % 0.97/1.16 (step @p4779 :rule eq_resolve :premises (@p4778 @p4777)) % 0.97/1.16 (step @p4780 :rule ho_cong :premises (@p1248 @p1348)) % 0.97/1.16 (step @p4781 :rule trans :premises (@p4780 @p4779)) % 0.97/1.16 (step @p4782 :rule cong :premises (@p230 @p4781) :args (@t2606)) % 0.97/1.16 (step @p4783 :rule cong :premises (@p4782) :args (@t2607)) % 0.97/1.16 (step @p4784 :rule nary_cong :premises (@p839 @p1158 @p4783) :args (@t2608)) % 0.97/1.16 (step @p4785 :rule cong :premises (@p4784) :args ((forall @t159 @t2608))) % 0.97/1.16 (step @p4786 :rule trans :premises (@p4785 @p4770)) % 0.97/1.16 (step @p4787 :rule aci_norm :args ((= (or @t197 (or @t315 @t2607)) @t2608))) % 0.97/1.16 (step @p4788 :rule bool-impl-elim :args (@t144 @t2607)) % 0.97/1.16 (step @p4789 :rule nary_cong :premises (@p1313 @p4788) :args ((or @t197 @t2609))) % 0.97/1.16 (step @p4790 :rule trans :premises (@p4789 @p4787)) % 0.97/1.16 (step @p4791 :rule bool-impl-elim :args (@t7 @t2609)) % 0.97/1.16 (step @p4792 :rule trans :premises (@p4791 @p4790)) % 0.97/1.16 (step @p4793 :rule cong :premises (@p4792) :args ((forall @t159 (=> @t7 @t2609)))) % 0.97/1.16 (step @p4794 :rule trans :premises (@p4793 @p4786)) % 0.97/1.16 (step @p4795 :rule eq-symm :args (@t156 tptp.emptyset)) % 0.97/1.16 (step @p4796 :rule cong :premises (@p4795) :args (@t2610)) % 0.97/1.16 (step @p4797 :rule beta-reduce :args ((= @t2611 @t2610))) % 0.97/1.16 (step @p4798 :rule trans :premises (@p4797 @p4796)) % 0.97/1.16 (step @p4799 :rule cong :premises (@p1328 @p4798) :args (@t2612)) % 0.97/1.16 (step @p4800 :rule cong :premises (@p1226 @p4799) :args (@t2613)) % 0.97/1.16 (step @p4801 :rule cong :premises (@p4800) :args (@t2614)) % 0.97/1.16 (step @p4802 :rule trans :premises (@p4801 @p4794)) % 0.97/1.16 (step @p4803 :rule refl :args (tptp.nonemptyI)) % 0.97/1.16 (step @p4804 :rule cong :premises (@p4803 @p4802) :args ((= tptp.nonemptyI @t2614))) % 0.97/1.16 (step @p4805 :rule refl :args (@t156)) % 0.97/1.16 (step @p4806 :rule ho_cong :premises (@p172 @p4805)) % 0.97/1.16 (step @p4807 :rule cong :premises (@p1328 @p4806) :args (@t209)) % 0.97/1.16 (step @p4808 :rule cong :premises (@p1226 @p4807) :args (@t210)) % 0.97/1.16 (step @p4809 :rule cong :premises (@p4808) :args (@t211)) % 0.97/1.16 (step @p4810 :rule cong :premises (@p4803 @p4809) :args (@t212)) % 0.97/1.16 (step @p4811 :rule trans :premises (@p4810 @p4804)) % 0.97/1.16 (step @p4812 :rule eq_resolve :premises (@p27 @p4811)) % 0.97/1.16 (step @p4813 :rule cong :premises (@p4812 @p4765) :args (@t2615)) % 0.97/1.16 (step @p4814 :rule cong :premises (@p4375 @p4371) :args (@t2616)) % 0.97/1.16 (step @p4815 :rule cong :premises (@p4814) :args (@t2617)) % 0.97/1.16 (step @p4816 :rule trans :premises (@p4815 @p4367)) % 0.97/1.16 (step @p4817 :rule refl :args (tptp.nonemptyE1)) % 0.97/1.16 (step @p4818 :rule cong :premises (@p4817 @p4816) :args ((= tptp.nonemptyE1 @t2617))) % 0.97/1.16 (step @p4819 :rule cong :premises (@p4382 @p4759) :args (@t206)) % 0.97/1.16 (step @p4820 :rule cong :premises (@p4819) :args (@t207)) % 0.97/1.16 (step @p4821 :rule cong :premises (@p4817 @p4820) :args (@t208)) % 0.97/1.16 (step @p4822 :rule trans :premises (@p4821 @p4818)) % 0.97/1.16 (step @p4823 :rule eq_resolve :premises (@p26 @p4822)) % 0.97/1.16 (step @p4824 :rule cong :premises (@p4823 @p4813) :args (@t2618)) % 0.97/1.16 (step @p4825 :rule refl :args (@t1032)) % 0.97/1.16 (step @p4826 :rule cong :premises (@p4825 @p1344) :args (@t2619)) % 0.97/1.16 (step @p4827 :rule nary_cong :premises (@p2205 @p4826) :args (@t2620)) % 0.97/1.16 (step @p4828 :rule cong :premises (@p4827) :args ((forall @t159 @t2620))) % 0.97/1.16 (step @p4829 :rule refl :args ((tptp.in @t4 @t156))) % 0.97/1.16 (step @p4830 :rule cong :premises (@p505 @p4774) :args (@t1839)) % 0.97/1.16 (step @p4831 :rule trans :premises (@p4830 @p4829)) % 0.97/1.16 (step @p4832 :rule ho_cong :premises (@p984 @p4774)) % 0.97/1.16 (step @p4833 :rule cong :premises (@p4832 @p4831) :args ((= (_ @t5 @t1836) @t1839))) % 0.97/1.16 (step @p4834 :rule symm :premises (@p4833)) % 0.97/1.16 (step @p4835 :rule refl :args (@t157)) % 0.97/1.16 (step @p4836 :rule eq_resolve :premises (@p4835 @p4834)) % 0.97/1.16 (step @p4837 :rule ho_cong :premises (@p984 @p4781)) % 0.97/1.16 (step @p4838 :rule trans :premises (@p4837 @p4836)) % 0.97/1.16 (step @p4839 :rule cong :premises (@p1157 @p4838) :args (@t2621)) % 0.97/1.16 (step @p4840 :rule nary_cong :premises (@p839 @p4839) :args (@t2622)) % 0.97/1.16 (step @p4841 :rule cong :premises (@p4840) :args ((forall @t159 @t2622))) % 0.97/1.16 (step @p4842 :rule trans :premises (@p4841 @p4828)) % 0.97/1.16 (step @p4843 :rule bool-impl-elim :args (@t7 @t2621)) % 0.97/1.16 (step @p4844 :rule cong :premises (@p4843) :args ((forall @t159 (=> @t7 @t2621)))) % 0.97/1.16 (step @p4845 :rule trans :premises (@p4844 @p4842)) % 0.97/1.16 (step @p4846 :rule eq-symm :args (@t157 @t144)) % 0.97/1.16 (step @p4847 :rule cong :premises (@p1226 @p4846) :args (@t202)) % 0.97/1.16 (step @p4848 :rule cong :premises (@p4847) :args (@t203)) % 0.97/1.16 (step @p4849 :rule trans :premises (@p4848 @p4845)) % 0.97/1.16 (step @p4850 :rule refl :args (tptp.setbeta)) % 0.97/1.16 (step @p4851 :rule cong :premises (@p4850 @p4849) :args (@t204)) % 0.97/1.16 (step @p4852 :rule eq_resolve :premises (@p25 @p4851)) % 0.97/1.16 (step @p4853 :rule cong :premises (@p4852 @p4824) :args (@t2623)) % 0.97/1.16 (step @p4854 :rule eq-symm :args (@t1341 tptp.noeltsimpempty)) % 0.97/1.16 (step @p4855 :rule refl :args (tptp.noeltsimpempty)) % 0.97/1.16 (step @p4856 :rule bool-impl-elim :args (@t1279 @t196)) % 0.97/1.16 (step @p4857 :rule cong :premises (@p4856) :args ((forall @t64 (=> @t1279 @t196)))) % 0.97/1.16 (step @p4858 :rule refl :args (@t196)) % 0.97/1.16 (step @p4859 :rule cong :premises (@p4368 @p4858) :args (@t199)) % 0.97/1.16 (step @p4860 :rule cong :premises (@p4859) :args (@t200)) % 0.97/1.16 (step @p4861 :rule trans :premises (@p4860 @p4857)) % 0.97/1.16 (step @p4862 :rule cong :premises (@p4861 @p4855) :args ((= @t200 tptp.noeltsimpempty))) % 0.97/1.16 (step @p4863 :rule trans :premises (@p4862 @p4854)) % 0.97/1.16 (step @p4864 :rule eq-symm :args (tptp.noeltsimpempty @t200)) % 0.97/1.16 (step @p4865 :rule trans :premises (@p4864 @p4863)) % 0.97/1.16 (step @p4866 :rule eq_resolve :premises (@p24 @p4865)) % 0.97/1.16 (step @p4867 :rule cong :premises (@p4866 @p4853) :args (@t2624)) % 0.97/1.16 (step @p4868 :rule refl :args (tptp.emptyI)) % 0.97/1.16 (step @p4869 :rule cong :premises (@p4868 @p4861) :args (@t201)) % 0.97/1.16 (step @p4870 :rule eq_resolve :premises (@p23 @p4869)) % 0.97/1.16 (step @p4871 :rule cong :premises (@p4870 @p4867) :args (@t2625)) % 0.97/1.16 (step @p4872 :rule aci_norm :args ((= (or @t1190 (or @t1310 @t3)) @t1344))) % 0.97/1.16 (step @p4873 :rule bool-impl-elim :args (@t1309 @t3)) % 0.97/1.16 (step @p4874 :rule nary_cong :premises (@p3187 @p4873) :args ((or @t1190 @t2626))) % 0.97/1.16 (step @p4875 :rule trans :premises (@p4874 @p4872)) % 0.97/1.16 (step @p4876 :rule bool-impl-elim :args (@t1189 @t2626)) % 0.97/1.16 (step @p4877 :rule trans :premises (@p4876 @p4875)) % 0.97/1.16 (step @p4878 :rule cong :premises (@p4877) :args ((forall @t12 (=> @t1189 @t2626)))) % 0.97/1.16 (step @p4879 :rule cong :premises (@p4576 @p3372) :args (@t190)) % 0.97/1.16 (step @p4880 :rule cong :premises (@p3196 @p4879) :args (@t193)) % 0.97/1.16 (step @p4881 :rule cong :premises (@p4880) :args (@t194)) % 0.97/1.16 (step @p4882 :rule trans :premises (@p4881 @p4878)) % 0.97/1.16 (step @p4883 :rule refl :args (tptp.setext)) % 0.97/1.16 (step @p4884 :rule cong :premises (@p4883 @p4882) :args (@t195)) % 0.97/1.16 (step @p4885 :rule eq_resolve :premises (@p22 @p4884)) % 0.97/1.16 (step @p4886 :rule cong :premises (@p4885 @p4871) :args (@t2627)) % 0.97/1.16 (step @p4887 :rule eq-symm :args (@t1347 @t19)) % 0.97/1.16 (step @p4888 :rule nary_cong :premises (@p3387 @p4887) :args (@t2628)) % 0.97/1.16 (step @p4889 :rule cong :premises (@p4888) :args (@t2629)) % 0.97/1.16 (step @p4890 :rule cong :premises (@p4889) :args (@t2630)) % 0.97/1.16 (step @p4891 :rule refl :args (@t1348)) % 0.97/1.16 (step @p4892 :rule refl :args (@t1350)) % 0.97/1.16 (step @p4893 :rule nary_cong :premises (@p4892 @p4891 @p4890) :args (@t2631)) % 0.97/1.16 (step @p4894 :rule aci_norm :args ((= @t2633 @t2631))) % 0.97/1.16 (step @p4895 :rule trans :premises (@p4894 @p4893)) % 0.97/1.16 (step @p4896 :rule cong :premises (@p4895) :args (@t2634)) % 0.97/1.16 (step @p4897 :rule quant-merge-prenex :args ((= (forall @t150 @t2636) @t2634))) % 0.97/1.16 (step @p4898 :rule refl :args (@t1350)) % 0.97/1.16 (step @p4899 :rule alpha_equiv :args (@t2637 (@list @t1347) @t1631)) % 0.97/1.16 (step @p4900 :rule nary_cong :premises (@p4899 @p4898) :args (@t2638)) % 0.97/1.16 (step @p4901 :rule quant-miniscope-or :args ((= @t2636 @t2638))) % 0.97/1.16 (step @p4902 :rule trans :premises (@p4901 @p4900)) % 0.97/1.16 (step @p4903 :rule symm :premises (@p4902)) % 0.97/1.16 (step @p4904 :rule cong :premises (@p4903) :args ((forall @t150 (or @t1231 @t1350)))) % 0.97/1.16 (step @p4905 :rule trans :premises (@p4904 @p4897)) % 0.97/1.16 (step @p4906 :rule trans :premises (@p4905 @p4896)) % 0.97/1.16 (step @p4907 :rule nary_cong :premises (@p3455 @p4898) :args ((or @t2261 @t1350))) % 0.97/1.16 (step @p4908 :rule bool-impl-elim :args (@t1232 @t1350)) % 0.97/1.16 (step @p4909 :rule trans :premises (@p4908 @p4907)) % 0.97/1.16 (step @p4910 :rule cong :premises (@p4909) :args ((forall @t150 (=> @t1232 @t1350)))) % 0.97/1.16 (step @p4911 :rule trans :premises (@p4910 @p4906)) % 0.97/1.16 (step @p4912 :rule cong :premises (@p3507 @p3990) :args (@t2639)) % 0.97/1.16 (step @p4913 :rule cong :premises (@p4912) :args (@t2640)) % 0.97/1.16 (step @p4914 :rule trans :premises (@p4913 @p4911)) % 0.97/1.16 (step @p4915 :rule refl :args (tptp.exuE3e)) % 0.97/1.16 (step @p4916 :rule cong :premises (@p4915 @p4914) :args ((= tptp.exuE3e @t2640))) % 0.97/1.16 (step @p4917 :rule cong :premises (@p3550 @p3997) :args (@t187)) % 0.97/1.16 (step @p4918 :rule cong :premises (@p4917) :args (@t188)) % 0.97/1.16 (step @p4919 :rule cong :premises (@p4915 @p4918) :args (@t189)) % 0.97/1.16 (step @p4920 :rule trans :premises (@p4919 @p4916)) % 0.97/1.16 (step @p4921 :rule eq_resolve :premises (@p21 @p4920)) % 0.97/1.16 (step @p4922 :rule cong :premises (@p4921 @p4886) :args (@t2641)) % 0.97/1.16 (step @p4923 :rule eq-symm :args (@t1354 tptp.notinemptyset)) % 0.97/1.16 (step @p4924 :rule refl :args (tptp.notinemptyset)) % 0.97/1.16 (step @p4925 :rule cong :premises (@p4210) :args (@t17)) % 0.97/1.16 (step @p4926 :rule cong :premises (@p4925 @p4924) :args ((= @t17 tptp.notinemptyset))) % 0.97/1.16 (step @p4927 :rule trans :premises (@p4926 @p4923)) % 0.97/1.16 (step @p4928 :rule eq-symm :args (tptp.notinemptyset @t17)) % 0.97/1.16 (step @p4929 :rule trans :premises (@p4928 @p4927)) % 0.97/1.16 (step @p4930 :rule eq_resolve :premises (@p20 @p4929)) % 0.97/1.16 (step @p4931 :rule cong :premises (@p4930 @p4922) :args (@t2642)) % 0.97/1.16 (step @p4932 :rule bool-impl-false1 :args (@t15)) % 0.97/1.16 (step @p4933 :rule cong :premises (@p4932) :args (@t184)) % 0.97/1.16 (step @p4934 :rule trans :premises (@p4933 @p4925)) % 0.97/1.16 (step @p4935 :rule refl :args (tptp.emptysetimpfalse)) % 0.97/1.16 (step @p4936 :rule cong :premises (@p4935 @p4934) :args (@t185)) % 0.97/1.16 (step @p4937 :rule eq_resolve :premises (@p19 @p4936)) % 0.97/1.16 (step @p4938 :rule cong :premises (@p4937 @p4931) :args (@t2643)) % 0.97/1.16 (step @p4939 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2037 @t173)) false))) % 0.97/1.16 (step @p4940 :rule nary_cong :premises (@p2225 @p2217) :args (@t2644)) % 0.97/1.16 (step @p4941 :rule aci_norm :args ((= @t173 @t2644))) % 0.97/1.16 (step @p4942 :rule trans :premises (@p4941 @p4940)) % 0.97/1.16 (step @p4943 :rule cong :premises (@p4942) :args (@t180)) % 0.97/1.16 (step @p4944 :rule trans :premises (@p4943 @p4939)) % 0.97/1.16 (step @p4945 :rule refl :args (@t15)) % 0.97/1.16 (step @p4946 :rule cong :premises (@p4945 @p4944) :args (@t181)) % 0.97/1.16 (step @p4947 :rule trans :premises (@p4946 @p4932)) % 0.97/1.16 (step @p4948 :rule cong :premises (@p4947) :args (@t182)) % 0.97/1.16 (step @p4949 :rule trans :premises (@p4948 @p4925)) % 0.97/1.16 (step @p4950 :rule refl :args (tptp.emptysetE)) % 0.97/1.16 (step @p4951 :rule cong :premises (@p4950 @p4949) :args (@t183)) % 0.97/1.16 (step @p4952 :rule eq_resolve :premises (@p18 @p4951)) % 0.97/1.16 (step @p4953 :rule cong :premises (@p4952 @p4938) :args (@t2645)) % 0.97/1.16 (step @p4954 :rule aci_norm :args ((= @t2646 @t1358))) % 0.97/1.16 (step @p4955 :rule cong :premises (@p4954) :args ((forall @t9 @t2646))) % 0.97/1.16 (step @p4956 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2037 @t2648 @t173)) @t2646))) % 0.97/1.16 (step @p4957 :rule refl :args (@t2648)) % 0.97/1.16 (step @p4958 :rule nary_cong :premises (@p2225 @p4957 @p2217) :args (@t2649)) % 0.97/1.16 (step @p4959 :rule aci_norm :args ((= @t2650 @t2649))) % 0.97/1.16 (step @p4960 :rule trans :premises (@p4959 @p4958)) % 0.97/1.16 (step @p4961 :rule cong :premises (@p4960) :args (@t2651)) % 0.97/1.16 (step @p4962 :rule trans :premises (@p4961 @p4956)) % 0.97/1.16 (step @p4963 :rule cong :premises (@p4962) :args (@t2652)) % 0.97/1.16 (step @p4964 :rule quant-merge-prenex :args ((= @t2652 @t2653))) % 0.97/1.16 (step @p4965 :rule symm :premises (@p4964)) % 0.97/1.16 (step @p4966 :rule quant_var_reordering :args ((= (forall @t176 @t2650) @t2653))) % 0.97/1.16 (step @p4967 :rule trans :premises (@p4966 @p4965 @p4963)) % 0.97/1.16 (step @p4968 :rule trans :premises (@p4967 @p4955)) % 0.97/1.16 (step @p4969 :rule refl :args ((tptp.in @t4 @t174))) % 0.97/1.16 (step @p4970 :rule cong :premises (@p505 @p4111) :args (@t2647)) % 0.97/1.16 (step @p4971 :rule trans :premises (@p4970 @p4969)) % 0.97/1.16 (step @p4972 :rule ho_cong :premises (@p984 @p4111)) % 0.97/1.16 (step @p4973 :rule cong :premises (@p4972 @p4971) :args ((= (_ @t5 @t2467) @t2647))) % 0.97/1.16 (step @p4974 :rule symm :premises (@p4973)) % 0.97/1.16 (step @p4975 :rule refl :args (@t175)) % 0.97/1.16 (step @p4976 :rule eq_resolve :premises (@p4975 @p4974)) % 0.97/1.16 (step @p4977 :rule ho_cong :premises (@p984 @p4123)) % 0.97/1.16 (step @p4978 :rule trans :premises (@p4977 @p4976)) % 0.97/1.16 (step @p4979 :rule cong :premises (@p4978) :args (@t2654)) % 0.97/1.16 (step @p4980 :rule nary_cong :premises (@p4979 @p2217) :args (@t2655)) % 0.97/1.16 (step @p4981 :rule cong :premises (@p4980) :args ((forall @t176 @t2655))) % 0.97/1.16 (step @p4982 :rule trans :premises (@p4981 @p4968)) % 0.97/1.16 (step @p4983 :rule bool-impl-elim :args (@t175 @t173)) % 0.97/1.16 (step @p4984 :rule cong :premises (@p4983) :args (@t177)) % 0.97/1.16 (step @p4985 :rule trans :premises (@p4984 @p4982)) % 0.97/1.16 (step @p4986 :rule refl :args (tptp.prop2setE)) % 0.97/1.16 (step @p4987 :rule cong :premises (@p4986 @p4985) :args (@t178)) % 0.97/1.16 (step @p4988 :rule eq_resolve :premises (@p17 @p4987)) % 0.97/1.16 (step @p4989 :rule cong :premises (@p4988 @p4953) :args (@t2656)) % 0.97/1.16 (step @p4990 :rule bool-eq-true :args (tptp.exuE1)) % 0.97/1.16 (step @p4991 :rule symm :premises (@p4990)) % 0.97/1.16 (step @p4992 :rule cong :premises (@p3507 @p3545) :args (@t2657)) % 0.97/1.16 (step @p4993 :rule cong :premises (@p4992) :args (@t2658)) % 0.97/1.16 (step @p4994 :rule trans :premises (@p4993 @p4013)) % 0.97/1.16 (step @p4995 :rule refl :args (tptp.exuE1)) % 0.97/1.16 (step @p4996 :rule cong :premises (@p4995 @p4994) :args ((= tptp.exuE1 @t2658))) % 0.97/1.16 (step @p4997 :rule trans :premises (@p4996 @p4990)) % 0.97/1.16 (step @p4998 :rule cong :premises (@p3550 @p4020) :args (@t170)) % 0.97/1.16 (step @p4999 :rule cong :premises (@p4998) :args (@t171)) % 0.97/1.16 (step @p5000 :rule cong :premises (@p4995 @p4999) :args (@t172)) % 0.97/1.16 (step @p5001 :rule trans :premises (@p5000 @p4997)) % 0.97/1.16 (step @p5002 :rule eq_resolve :premises (@p16 @p5001)) % 0.97/1.16 (step @p5003 :rule eq_resolve :premises (@p5002 @p4991)) % 0.97/1.16 (step @p5004 :rule cong :premises (@p5003 @p4989) :args (@t2659)) % 0.97/1.16 (step @p5005 :rule nary_cong :premises (@p1345 @p4825) :args (@t2660)) % 0.97/1.16 (step @p5006 :rule cong :premises (@p5005) :args ((forall @t159 @t2660))) % 0.97/1.16 (step @p5007 :rule cong :premises (@p4838) :args (@t2661)) % 0.97/1.16 (step @p5008 :rule nary_cong :premises (@p5007 @p1157) :args (@t2662)) % 0.97/1.16 (step @p5009 :rule cong :premises (@p5008) :args ((forall @t159 @t2662))) % 0.97/1.16 (step @p5010 :rule trans :premises (@p5009 @p5006)) % 0.97/1.16 (step @p5011 :rule bool-impl-elim :args (@t157 @t144)) % 0.97/1.16 (step @p5012 :rule cong :premises (@p5011) :args (@t164)) % 0.97/1.16 (step @p5013 :rule trans :premises (@p5012 @p5010)) % 0.97/1.16 (step @p5014 :rule refl :args (tptp.dsetconstrER)) % 0.97/1.16 (step @p5015 :rule cong :premises (@p5014 @p5013) :args (@t165)) % 0.97/1.16 (step @p5016 :rule eq_resolve :premises (@p15 @p5015)) % 0.97/1.16 (step @p5017 :rule cong :premises (@p5016 @p5004) :args (@t2663)) % 0.97/1.16 (step @p5018 :rule nary_cong :premises (@p1345 @p2210) :args (@t2664)) % 0.97/1.16 (step @p5019 :rule cong :premises (@p5018) :args ((forall @t159 @t2664))) % 0.97/1.16 (step @p5020 :rule nary_cong :premises (@p5007 @p838) :args (@t2665)) % 0.97/1.16 (step @p5021 :rule cong :premises (@p5020) :args ((forall @t159 @t2665))) % 0.97/1.16 (step @p5022 :rule trans :premises (@p5021 @p5019)) % 0.97/1.16 (step @p5023 :rule bool-impl-elim :args (@t157 @t7)) % 0.97/1.16 (step @p5024 :rule cong :premises (@p5023) :args (@t162)) % 0.97/1.16 (step @p5025 :rule trans :premises (@p5024 @p5022)) % 0.97/1.16 (step @p5026 :rule refl :args (tptp.dsetconstrEL)) % 0.97/1.16 (step @p5027 :rule cong :premises (@p5026 @p5025) :args (@t163)) % 0.97/1.16 (step @p5028 :rule eq_resolve :premises (@p14 @p5027)) % 0.97/1.16 (step @p5029 :rule cong :premises (@p5028 @p5017) :args (@t2666)) % 0.97/1.16 (step @p5030 :rule nary_cong :premises (@p2205 @p4768 @p1344) :args (@t2667)) % 0.97/1.16 (step @p5031 :rule cong :premises (@p5030) :args ((forall @t159 @t2667))) % 0.97/1.16 (step @p5032 :rule nary_cong :premises (@p839 @p1158 @p4838) :args (@t2668)) % 0.97/1.16 (step @p5033 :rule cong :premises (@p5032) :args ((forall @t159 @t2668))) % 0.97/1.16 (step @p5034 :rule trans :premises (@p5033 @p5031)) % 0.97/1.16 (step @p5035 :rule aci_norm :args ((= (or @t197 (or @t315 @t157)) @t2668))) % 0.97/1.16 (step @p5036 :rule bool-impl-elim :args (@t144 @t157)) % 0.97/1.16 (step @p5037 :rule nary_cong :premises (@p1313 @p5036) :args ((or @t197 @t158))) % 0.97/1.16 (step @p5038 :rule trans :premises (@p5037 @p5035)) % 0.97/1.16 (step @p5039 :rule bool-impl-elim :args (@t7 @t158)) % 0.97/1.16 (step @p5040 :rule trans :premises (@p5039 @p5038)) % 0.97/1.16 (step @p5041 :rule cong :premises (@p5040) :args (@t160)) % 0.97/1.16 (step @p5042 :rule trans :premises (@p5041 @p5034)) % 0.97/1.16 (step @p5043 :rule refl :args (tptp.dsetconstrI)) % 0.97/1.16 (step @p5044 :rule cong :premises (@p5043 @p5042) :args (@t161)) % 0.97/1.16 (step @p5045 :rule eq_resolve :premises (@p13 @p5044)) % 0.97/1.16 (step @p5046 :rule cong :premises (@p5045 @p5029) :args (@t2669)) % 0.97/1.16 (step @p5047 :rule eq-symm :args (@t1367 @t19)) % 0.97/1.16 (step @p5048 :rule nary_cong :premises (@p3387 @p5047) :args (@t2670)) % 0.97/1.16 (step @p5049 :rule cong :premises (@p5048) :args (@t2671)) % 0.97/1.16 (step @p5050 :rule cong :premises (@p5049) :args (@t2672)) % 0.97/1.16 (step @p5051 :rule refl :args (@t1368)) % 0.97/1.16 (step @p5052 :rule refl :args (@t1369)) % 0.97/1.16 (step @p5053 :rule nary_cong :premises (@p5052 @p5051 @p5050) :args (@t2673)) % 0.97/1.16 (step @p5054 :rule aci_norm :args ((= @t2675 @t2673))) % 0.97/1.16 (step @p5055 :rule trans :premises (@p5054 @p5053)) % 0.97/1.16 (step @p5056 :rule cong :premises (@p5055) :args (@t2676)) % 0.97/1.16 (step @p5057 :rule quant-merge-prenex :args ((= (forall @t150 @t2678) @t2676))) % 0.97/1.16 (step @p5058 :rule refl :args (@t1369)) % 0.97/1.16 (step @p5059 :rule alpha_equiv :args (@t2679 (@list @t1367) @t1631)) % 0.97/1.16 (step @p5060 :rule nary_cong :premises (@p5059 @p5058) :args (@t2680)) % 0.97/1.16 (step @p5061 :rule quant-miniscope-or :args ((= @t2678 @t2680))) % 0.97/1.16 (step @p5062 :rule trans :premises (@p5061 @p5060)) % 0.97/1.16 (step @p5063 :rule symm :premises (@p5062)) % 0.97/1.16 (step @p5064 :rule cong :premises (@p5063) :args ((forall @t150 (or @t1231 @t1369)))) % 0.97/1.16 (step @p5065 :rule trans :premises (@p5064 @p5057)) % 0.97/1.16 (step @p5066 :rule trans :premises (@p5065 @p5056)) % 0.97/1.16 (step @p5067 :rule cong :premises (@p3411) :args (@t2681)) % 0.97/1.16 (step @p5068 :rule nary_cong :premises (@p3414 @p5067) :args (@t2682)) % 0.97/1.16 (step @p5069 :rule cong :premises (@p5068) :args ((forall @t150 @t2682))) % 0.97/1.16 (step @p5070 :rule trans :premises (@p5069 @p5066)) % 0.97/1.16 (step @p5071 :rule refl :args ((_ @t143 @t146))) % 0.97/1.16 (step @p5072 :rule cong :premises (@p3431) :args (@t2681)) % 0.97/1.16 (step @p5073 :rule trans :premises (@p5072 @p5071)) % 0.97/1.16 (step @p5074 :rule refl :args (@t143)) % 0.97/1.16 (step @p5075 :rule ho_cong :premises (@p5074 @p3431)) % 0.97/1.16 (step @p5076 :rule cong :premises (@p5075 @p5073) :args ((= (_ @t143 @t2255) @t2681))) % 0.97/1.16 (step @p5077 :rule symm :premises (@p5076)) % 0.97/1.16 (step @p5078 :rule refl :args (@t147)) % 0.97/1.16 (step @p5079 :rule eq_resolve :premises (@p5078 @p5077)) % 0.97/1.16 (step @p5080 :rule ho_cong :premises (@p5074 @p3438)) % 0.97/1.16 (step @p5081 :rule trans :premises (@p5080 @p5079)) % 0.97/1.16 (step @p5082 :rule nary_cong :premises (@p3441 @p5081) :args (@t2683)) % 0.97/1.16 (step @p5083 :rule cong :premises (@p5082) :args ((forall @t150 @t2683))) % 0.97/1.16 (step @p5084 :rule trans :premises (@p5083 @p5070)) % 0.97/1.16 (step @p5085 :rule nary_cong :premises (@p3455 @p5078) :args ((or @t2261 @t147))) % 0.97/1.16 (step @p5086 :rule bool-impl-elim :args (@t1232 @t147)) % 0.97/1.16 (step @p5087 :rule trans :premises (@p5086 @p5085)) % 0.97/1.16 (step @p5088 :rule cong :premises (@p5087) :args ((forall @t150 (=> @t1232 @t147)))) % 0.97/1.16 (step @p5089 :rule trans :premises (@p5088 @p5084)) % 0.97/1.16 (step @p5090 :rule refl :args (@t147)) % 0.97/1.16 (step @p5091 :rule cong :premises (@p3507 @p5090) :args (@t2684)) % 0.97/1.16 (step @p5092 :rule cong :premises (@p5091) :args (@t2685)) % 0.97/1.16 (step @p5093 :rule trans :premises (@p5092 @p5089)) % 0.97/1.16 (step @p5094 :rule refl :args (tptp.descrp)) % 0.97/1.16 (step @p5095 :rule cong :premises (@p5094 @p5093) :args ((= tptp.descrp @t2685))) % 0.97/1.16 (step @p5096 :rule cong :premises (@p3550 @p5090) :args (@t149)) % 0.97/1.16 (step @p5097 :rule cong :premises (@p5096) :args (@t151)) % 0.97/1.16 (step @p5098 :rule cong :premises (@p5094 @p5097) :args (@t152)) % 0.97/1.16 (step @p5099 :rule trans :premises (@p5098 @p5095)) % 0.97/1.16 (step @p5100 :rule eq_resolve :premises (@p12 @p5099)) % 0.97/1.16 (step @p5101 :rule cong :premises (@p5100 @p5046) :args (@t2686)) % 0.97/1.16 (step @p5102 :rule aci_norm :args ((= (or @t1421 (or @t1414 (or @t1410 @t1398))) @t1422))) % 0.97/1.16 (step @p5103 :rule bool-and-de-morgan :args (@t1409 @t1397 true)) % 0.97/1.16 (step @p5104 :rule refl :args (@t1414)) % 0.97/1.16 (step @p5105 :rule nary_cong :premises (@p5104 @p5103) :args ((or @t1414 (not (and @t1409 @t1397))))) % 0.97/1.16 (step @p5106 :rule bool-and-de-morgan :args (@t1413 @t1409 (and @t1397))) % 0.97/1.16 (step @p5107 :rule trans :premises (@p5106 @p5105)) % 0.97/1.16 (step @p5108 :rule refl :args (@t1421)) % 0.97/1.16 (step @p5109 :rule nary_cong :premises (@p5108 @p5107) :args ((or @t1421 (not (and @t1413 @t1409 @t1397))))) % 0.97/1.16 (step @p5110 :rule bool-and-de-morgan :args (@t1420 @t1413 (and @t1409 @t1397))) % 0.97/1.16 (step @p5111 :rule trans :premises (@p5110 @p5109)) % 0.97/1.16 (step @p5112 :rule trans :premises (@p5111 @p5102)) % 0.97/1.16 (step @p5113 :rule cong :premises (@p5112) :args (@t2688)) % 0.97/1.16 (step @p5114 :rule cong :premises (@p5113) :args (@t2689)) % 0.97/1.16 (step @p5115 :rule exists-elim :args ((= (exists @t41 @t2687) @t2689))) % 0.97/1.16 (step @p5116 :rule trans :premises (@p5115 @p5114)) % 0.97/1.16 (step @p5117 :rule quant-merge-prenex :args ((= (forall @t118 @t2691) @t1397))) % 0.97/1.16 (step @p5118 :rule refl :args (@t1391)) % 0.97/1.16 (step @p5119 :rule alpha_equiv :args (@t2692 (@list @t1392) @t1631)) % 0.97/1.16 (step @p5120 :rule refl :args (@t1395)) % 0.97/1.16 (step @p5121 :rule nary_cong :premises (@p5120 @p5119 @p5118) :args (@t2693)) % 0.97/1.16 (step @p5122 :rule quant-miniscope-or :args ((= @t2691 @t2693))) % 0.97/1.16 (step @p5123 :rule trans :premises (@p5122 @p5121)) % 0.97/1.16 (step @p5124 :rule symm :premises (@p5123)) % 0.97/1.16 (step @p5125 :rule cong :premises (@p5124) :args ((forall @t118 @t2695))) % 0.97/1.16 (step @p5126 :rule trans :premises (@p5125 @p5117)) % 0.97/1.16 (step @p5127 :rule aci_norm :args ((= (or (or @t1395 @t2694) @t1391) @t2695))) % 0.97/1.16 (step @p5128 :rule bool-double-not-elim :args (@t2694)) % 0.97/1.16 (step @p5129 :rule nary_cong :premises (@p5120 @p5128) :args ((or @t1395 (not @t2696)))) % 0.97/1.16 (step @p5130 :rule bool-and-de-morgan :args (@t1394 @t2696 true)) % 0.97/1.16 (step @p5131 :rule trans :premises (@p5130 @p5129)) % 0.97/1.16 (step @p5132 :rule nary_cong :premises (@p5131 @p5118) :args ((or (not @t2697) @t1391))) % 0.97/1.16 (step @p5133 :rule trans :premises (@p5132 @p5127)) % 0.97/1.16 (step @p5134 :rule bool-impl-elim :args (@t2697 @t1391)) % 0.97/1.16 (step @p5135 :rule trans :premises (@p5134 @p5133)) % 0.97/1.16 (step @p5136 :rule cong :premises (@p5135) :args ((forall @t118 (=> @t2697 @t1391)))) % 0.97/1.16 (step @p5137 :rule trans :premises (@p5136 @p5126)) % 0.97/1.16 (step @p5138 :rule refl :args (@t1382)) % 0.97/1.16 (step @p5139 :rule refl :args (@t1386)) % 0.97/1.16 (step @p5140 :rule refl :args (@t1387)) % 0.97/1.16 (step @p5141 :rule refl :args (@t109)) % 0.97/1.16 (step @p5142 :rule cong :premises (@p5141 @p5140) :args ((= @t109 @t1387))) % 0.97/1.16 (step @p5143 :rule symm :premises (@p5142)) % 0.97/1.16 (step @p5144 :rule eq_resolve :premises (@p5141 @p5143)) % 0.97/1.16 (step @p5145 :rule cong :premises (@p5144) :args (@t2698)) % 0.97/1.16 (step @p5146 :rule refl :args (@t1389)) % 0.97/1.16 (step @p5147 :rule refl :args (@t110)) % 0.97/1.16 (step @p5148 :rule cong :premises (@p5147 @p5146) :args ((= @t110 @t1389))) % 0.97/1.16 (step @p5149 :rule symm :premises (@p5148)) % 0.97/1.16 (step @p5150 :rule eq_resolve :premises (@p5147 @p5149)) % 0.97/1.16 (step @p5151 :rule cong :premises (@p5150) :args (@t2699)) % 0.97/1.16 (step @p5152 :rule nary_cong :premises (@p5151 @p5145 @p5139 @p5138) :args (@t2700)) % 0.97/1.16 (step @p5153 :rule cong :premises (@p5152) :args ((forall @t112 @t2700))) % 0.97/1.16 (step @p5154 :rule aci_norm :args ((= (or @t2699 (or @t2698 (or @t1386 @t1382))) @t2700))) % 0.97/1.16 (step @p5155 :rule bool-and-de-morgan :args (@t1385 @t1381 true)) % 0.97/1.16 (step @p5156 :rule refl :args (@t2698)) % 0.97/1.16 (step @p5157 :rule nary_cong :premises (@p5156 @p5155) :args ((or @t2698 (not (and @t1385 @t1381))))) % 0.97/1.16 (step @p5158 :rule bool-and-de-morgan :args (@t109 @t1385 (and @t1381))) % 0.97/1.16 (step @p5159 :rule trans :premises (@p5158 @p5157)) % 0.97/1.16 (step @p5160 :rule refl :args (@t2699)) % 0.97/1.16 (step @p5161 :rule nary_cong :premises (@p5160 @p5159) :args ((or @t2699 (not (and @t109 @t1385 @t1381))))) % 0.97/1.16 (step @p5162 :rule bool-and-de-morgan :args (@t110 @t109 (and @t1385 @t1381))) % 0.97/1.16 (step @p5163 :rule trans :premises (@p5162 @p5161)) % 0.97/1.16 (step @p5164 :rule trans :premises (@p5163 @p5154)) % 0.97/1.16 (step @p5165 :rule cong :premises (@p5164) :args (@t2702)) % 0.97/1.16 (step @p5166 :rule trans :premises (@p5165 @p5153)) % 0.97/1.16 (step @p5167 :rule cong :premises (@p5166) :args (@t2703)) % 0.97/1.16 (step @p5168 :rule exists-elim :args ((= (exists @t112 @t2701) @t2703))) % 0.97/1.16 (step @p5169 :rule trans :premises (@p5168 @p5167)) % 0.97/1.16 (step @p5170 :rule aci_norm :args ((= @t2705 @t1379))) % 0.97/1.16 (step @p5171 :rule cong :premises (@p5170) :args (@t2706)) % 0.97/1.16 (step @p5172 :rule quant-merge-prenex :args ((= (forall @t102 @t2708) @t2706))) % 0.97/1.16 (step @p5173 :rule refl :args (@t1376)) % 0.97/1.16 (step @p5174 :rule alpha_equiv :args (@t2709 (@list @t1373) @t1704)) % 0.97/1.16 (step @p5175 :rule refl :args (@t1378)) % 0.97/1.16 (step @p5176 :rule nary_cong :premises (@p5175 @p5174 @p5173) :args (@t2710)) % 0.97/1.16 (step @p5177 :rule quant-miniscope-or :args ((= @t2708 @t2710))) % 0.97/1.16 (step @p5178 :rule trans :premises (@p5177 @p5176)) % 0.97/1.16 (step @p5179 :rule symm :premises (@p5178)) % 0.97/1.16 (step @p5180 :rule cong :premises (@p5179) :args ((forall @t102 (or @t1378 @t2712 @t1376)))) % 0.97/1.16 (step @p5181 :rule trans :premises (@p5180 @p5172)) % 0.97/1.16 (step @p5182 :rule trans :premises (@p5181 @p5171)) % 0.97/1.16 (step @p5183 :rule refl :args (@t1376)) % 0.97/1.16 (step @p5184 :rule refl :args (@t94)) % 0.97/1.16 (step @p5185 :rule cong :premises (@p5184 @p5183) :args ((= @t94 @t1376))) % 0.97/1.16 (step @p5186 :rule symm :premises (@p5185)) % 0.97/1.16 (step @p5187 :rule eq_resolve :premises (@p5184 @p5186)) % 0.97/1.16 (step @p5188 :rule refl :args (@t2712)) % 0.97/1.16 (step @p5189 :rule refl :args (@t1377)) % 0.97/1.16 (step @p5190 :rule refl :args (@t100)) % 0.97/1.16 (step @p5191 :rule cong :premises (@p5190 @p5189) :args ((= @t100 @t1377))) % 0.97/1.16 (step @p5192 :rule symm :premises (@p5191)) % 0.97/1.16 (step @p5193 :rule eq_resolve :premises (@p5190 @p5192)) % 0.97/1.16 (step @p5194 :rule cong :premises (@p5193) :args (@t2713)) % 0.97/1.16 (step @p5195 :rule nary_cong :premises (@p5194 @p5188 @p5187) :args (@t2714)) % 0.97/1.16 (step @p5196 :rule cong :premises (@p5195) :args ((forall @t102 @t2714))) % 0.97/1.16 (step @p5197 :rule trans :premises (@p5196 @p5182)) % 0.97/1.16 (step @p5198 :rule aci_norm :args ((= (or @t2713 @t2715) @t2714))) % 0.97/1.16 (step @p5199 :rule bool-impl-elim :args (@t100 @t2715)) % 0.97/1.16 (step @p5200 :rule trans :premises (@p5199 @p5198)) % 0.97/1.16 (step @p5201 :rule cong :premises (@p5200) :args ((forall @t102 (=> @t100 @t2715)))) % 0.97/1.16 (step @p5202 :rule trans :premises (@p5201 @p5197)) % 0.97/1.16 (step @p5203 :rule refl :args (@t94)) % 0.97/1.16 (step @p5204 :rule refl :args (@t1384)) % 0.97/1.16 (step @p5205 :rule refl :args (@t96)) % 0.97/1.16 (step @p5206 :rule cong :premises (@p5205 @p5204) :args ((= @t96 @t1384))) % 0.97/1.16 (step @p5207 :rule symm :premises (@p5206)) % 0.97/1.16 (step @p5208 :rule eq_resolve :premises (@p5205 @p5207)) % 0.97/1.16 (step @p5209 :rule refl :args (@t2711)) % 0.97/1.16 (step @p5210 :rule refl :args (@t97)) % 0.97/1.16 (step @p5211 :rule cong :premises (@p5210 @p5209) :args ((= @t97 @t2711))) % 0.97/1.16 (step @p5212 :rule symm :premises (@p5211)) % 0.97/1.16 (step @p5213 :rule eq_resolve :premises (@p5210 @p5212)) % 0.97/1.16 (step @p5214 :rule cong :premises (@p5213) :args (@t2716)) % 0.97/1.16 (step @p5215 :rule nary_cong :premises (@p5214 @p5208) :args (@t2717)) % 0.97/1.16 (step @p5216 :rule cong :premises (@p5215) :args ((forall @t70 @t2717))) % 0.97/1.16 (step @p5217 :rule bool-impl-elim :args (@t97 @t96)) % 0.97/1.16 (step @p5218 :rule cong :premises (@p5217) :args (@t98)) % 0.97/1.16 (step @p5219 :rule trans :premises (@p5218 @p5216)) % 0.97/1.16 (step @p5220 :rule nary_cong :premises (@p5219 @p5203) :args (@t99)) % 0.97/1.16 (step @p5221 :rule refl :args (@t100)) % 0.97/1.16 (step @p5222 :rule cong :premises (@p5221 @p5220) :args (@t101)) % 0.97/1.16 (step @p5223 :rule cong :premises (@p5222) :args (@t103)) % 0.97/1.16 (step @p5224 :rule trans :premises (@p5223 @p5202)) % 0.97/1.16 (step @p5225 :rule bool-double-not-elim :args (@t1385)) % 0.97/1.16 (step @p5226 :rule refl :args (@t1383)) % 0.97/1.16 (step @p5227 :rule refl :args (@t105)) % 0.97/1.16 (step @p5228 :rule cong :premises (@p5227 @p5226) :args ((= @t105 @t1383))) % 0.97/1.16 (step @p5229 :rule symm :premises (@p5228)) % 0.97/1.16 (step @p5230 :rule eq_resolve :premises (@p5227 @p5229)) % 0.97/1.16 (step @p5231 :rule cong :premises (@p5230) :args (@t2718)) % 0.97/1.16 (step @p5232 :rule cong :premises (@p5208) :args (@t2719)) % 0.97/1.16 (step @p5233 :rule nary_cong :premises (@p5232 @p5231) :args (@t2720)) % 0.97/1.16 (step @p5234 :rule cong :premises (@p5233) :args ((forall @t70 @t2720))) % 0.97/1.17 (step @p5235 :rule bool-and-de-morgan :args (@t96 @t105 true)) % 0.97/1.17 (step @p5236 :rule cong :premises (@p5235) :args (@t2721)) % 0.97/1.17 (step @p5237 :rule trans :premises (@p5236 @p5234)) % 0.97/1.17 (step @p5238 :rule cong :premises (@p5237) :args (@t2722)) % 0.97/1.17 (step @p5239 :rule exists-elim :args ((= @t107 @t2722))) % 0.97/1.17 (step @p5240 :rule trans :premises (@p5239 @p5238)) % 0.97/1.17 (step @p5241 :rule cong :premises (@p5240) :args (@t108)) % 0.97/1.17 (step @p5242 :rule trans :premises (@p5241 @p5225)) % 0.97/1.17 (step @p5243 :rule refl :args (@t109)) % 0.97/1.17 (step @p5244 :rule refl :args (@t110)) % 0.97/1.17 (step @p5245 :rule nary_cong :premises (@p5244 @p5243 @p5242 @p5224) :args (@t111)) % 0.97/1.17 (step @p5246 :rule cong :premises (@p5245) :args (@t113)) % 0.97/1.17 (step @p5247 :rule trans :premises (@p5246 @p5169)) % 0.97/1.17 (step @p5248 :rule cong :premises (@p5145) :args (@t2723)) % 0.97/1.17 (step @p5249 :rule cong :premises (@p5248) :args (@t2724)) % 0.97/1.17 (step @p5250 :rule exists-elim :args ((= @t114 @t2724))) % 0.97/1.17 (step @p5251 :rule trans :premises (@p5250 @p5249)) % 0.97/1.17 (step @p5252 :rule nary_cong :premises (@p5145 @p838) :args (@t2725)) % 0.97/1.17 (step @p5253 :rule cong :premises (@p5252) :args ((forall @t9 @t2725))) % 0.97/1.17 (step @p5254 :rule bool-impl-elim :args (@t109 @t7)) % 0.97/1.17 (step @p5255 :rule cong :premises (@p5254) :args (@t115)) % 0.97/1.17 (step @p5256 :rule trans :premises (@p5255 @p5253)) % 0.97/1.17 (step @p5257 :rule nary_cong :premises (@p5256 @p5251) :args (@t116)) % 0.97/1.17 (step @p5258 :rule cong :premises (@p5257 @p5247) :args (@t117)) % 0.97/1.17 (step @p5259 :rule cong :premises (@p5258) :args (@t119)) % 0.97/1.17 (step @p5260 :rule trans :premises (@p5259 @p5137)) % 0.97/1.17 (step @p5261 :rule aci_norm :args ((= @t2728 @t1407))) % 0.97/1.17 (step @p5262 :rule cong :premises (@p5261) :args (@t2729)) % 0.97/1.17 (step @p5263 :rule quant-merge-prenex :args ((= (forall @t127 @t2730) @t2729))) % 0.97/1.17 (step @p5264 :rule alpha_equiv :args (@t2731 (@list @t1399) @t1631)) % 0.97/1.17 (step @p5265 :rule alpha_equiv :args (@t2732 (@list @t1402) @t1631)) % 0.97/1.17 (step @p5266 :rule refl :args (@t1390)) % 0.97/1.17 (step @p5267 :rule refl :args (@t1406)) % 0.97/1.17 (step @p5268 :rule nary_cong :premises (@p5267 @p5266 @p5265 @p5264) :args (@t2733)) % 0.97/1.17 (step @p5269 :rule quant-miniscope-or :args ((= @t2730 @t2733))) % 0.97/1.17 (step @p5270 :rule trans :premises (@p5269 @p5268)) % 0.97/1.17 (step @p5271 :rule symm :premises (@p5270)) % 0.97/1.17 (step @p5272 :rule cong :premises (@p5271) :args ((forall @t127 (or @t1406 @t1390 @t2736 @t2735)))) % 0.97/1.17 (step @p5273 :rule trans :premises (@p5272 @p5263)) % 0.97/1.17 (step @p5274 :rule trans :premises (@p5273 @p5262)) % 0.97/1.17 (step @p5275 :rule refl :args (@t2735)) % 0.97/1.17 (step @p5276 :rule refl :args (@t2736)) % 0.97/1.17 (step @p5277 :rule refl :args (@t1405)) % 0.97/1.17 (step @p5278 :rule refl :args (@t124)) % 0.97/1.17 (step @p5279 :rule cong :premises (@p5278 @p5277) :args ((= @t124 @t1405))) % 0.97/1.17 (step @p5280 :rule symm :premises (@p5279)) % 0.97/1.17 (step @p5281 :rule eq_resolve :premises (@p5278 @p5280)) % 0.97/1.17 (step @p5282 :rule cong :premises (@p5281) :args (@t2737)) % 0.97/1.17 (step @p5283 :rule nary_cong :premises (@p5282 @p5151 @p5276 @p5275) :args (@t2738)) % 0.97/1.17 (step @p5284 :rule cong :premises (@p5283) :args ((forall @t127 @t2738))) % 0.97/1.17 (step @p5285 :rule trans :premises (@p5284 @p5274)) % 0.97/1.17 (step @p5286 :rule aci_norm :args ((= (or (or @t2737 @t2699) @t2739) @t2738))) % 0.97/1.17 (step @p5287 :rule refl :args (@t2739)) % 0.97/1.17 (step @p5288 :rule bool-and-de-morgan :args (@t124 @t110 true)) % 0.97/1.17 (step @p5289 :rule nary_cong :premises (@p5288 @p5287) :args ((or (not @t125) @t2739))) % 0.97/1.17 (step @p5290 :rule trans :premises (@p5289 @p5286)) % 0.97/1.17 (step @p5291 :rule bool-impl-elim :args (@t125 @t2739)) % 0.97/1.17 (step @p5292 :rule trans :premises (@p5291 @p5290)) % 0.97/1.17 (step @p5293 :rule cong :premises (@p5292) :args ((forall @t127 (=> @t125 @t2739)))) % 0.97/1.17 (step @p5294 :rule trans :premises (@p5293 @p5285)) % 0.97/1.17 (step @p5295 :rule refl :args (@t2734)) % 0.97/1.17 (step @p5296 :rule refl :args (@t120)) % 0.97/1.17 (step @p5297 :rule cong :premises (@p5296 @p5295) :args ((= @t120 @t2734))) % 0.97/1.17 (step @p5298 :rule symm :premises (@p5297)) % 0.97/1.17 (step @p5299 :rule eq_resolve :premises (@p5296 @p5298)) % 0.97/1.17 (step @p5300 :rule cong :premises (@p5299) :args (@t2740)) % 0.97/1.17 (step @p5301 :rule nary_cong :premises (@p5300 @p5144) :args (@t2741)) % 0.97/1.17 (step @p5302 :rule cong :premises (@p5301) :args ((forall @t9 @t2741))) % 0.97/1.17 (step @p5303 :rule bool-impl-elim :args (@t120 @t109)) % 0.97/1.17 (step @p5304 :rule cong :premises (@p5303) :args (@t121)) % 0.97/1.17 (step @p5305 :rule trans :premises (@p5304 @p5302)) % 0.97/1.17 (step @p5306 :rule nary_cong :premises (@p5145 @p5299) :args (@t2742)) % 0.97/1.17 (step @p5307 :rule cong :premises (@p5306) :args ((forall @t9 @t2742))) % 0.97/1.17 (step @p5308 :rule bool-impl-elim :args (@t109 @t120)) % 0.97/1.17 (step @p5309 :rule cong :premises (@p5308) :args (@t122)) % 0.97/1.17 (step @p5310 :rule trans :premises (@p5309 @p5307)) % 0.97/1.17 (step @p5311 :rule nary_cong :premises (@p5310 @p5305) :args (@t123)) % 0.97/1.17 (step @p5312 :rule refl :args (@t125)) % 0.97/1.17 (step @p5313 :rule cong :premises (@p5312 @p5311) :args (@t126)) % 0.97/1.17 (step @p5314 :rule cong :premises (@p5313) :args (@t128)) % 0.97/1.17 (step @p5315 :rule trans :premises (@p5314 @p5294)) % 0.97/1.17 (step @p5316 :rule refl :args (@t1412)) % 0.97/1.17 (step @p5317 :rule nary_cong :premises (@p839 @p1201 @p5316 @p1072) :args (@t2743)) % 0.97/1.17 (step @p5318 :rule cong :premises (@p5317) :args ((forall @t135 @t2743))) % 0.97/1.17 (step @p5319 :rule aci_norm :args ((= (or (or @t197 @t1782) (or @t1412 @t129)) @t2743))) % 0.97/1.17 (step @p5320 :rule bool-impl-elim :args (@t1411 @t129)) % 0.97/1.17 (step @p5321 :rule bool-and-de-morgan :args (@t7 @t21 true)) % 0.97/1.17 (step @p5322 :rule nary_cong :premises (@p5321 @p5320) :args ((or (not @t133) @t2744))) % 0.97/1.17 (step @p5323 :rule trans :premises (@p5322 @p5319)) % 0.97/1.17 (step @p5324 :rule bool-impl-elim :args (@t133 @t2744)) % 0.97/1.17 (step @p5325 :rule trans :premises (@p5324 @p5323)) % 0.97/1.17 (step @p5326 :rule cong :premises (@p5325) :args ((forall @t135 (=> @t133 @t2744)))) % 0.97/1.17 (step @p5327 :rule trans :premises (@p5326 @p5318)) % 0.97/1.17 (step @p5328 :rule cong :premises (@p5144 @p5230) :args (@t130)) % 0.97/1.17 (step @p5329 :rule nary_cong :premises (@p5282 @p5328) :args (@t2745)) % 0.97/1.17 (step @p5330 :rule cong :premises (@p5329) :args ((forall @t118 @t2745))) % 0.97/1.17 (step @p5331 :rule bool-impl-elim :args (@t124 @t130)) % 0.97/1.17 (step @p5332 :rule cong :premises (@p5331) :args (@t131)) % 0.97/1.17 (step @p5333 :rule trans :premises (@p5332 @p5330)) % 0.97/1.17 (step @p5334 :rule cong :premises (@p5333 @p628) :args (@t132)) % 0.97/1.17 (step @p5335 :rule refl :args (@t133)) % 0.97/1.17 (step @p5336 :rule cong :premises (@p5335 @p5334) :args (@t134)) % 0.97/1.17 (step @p5337 :rule cong :premises (@p5336) :args (@t136)) % 0.97/1.17 (step @p5338 :rule trans :premises (@p5337 @p5327)) % 0.97/1.17 (step @p5339 :rule aci_norm :args ((= @t2747 @t1418))) % 0.97/1.17 (step @p5340 :rule cong :premises (@p5339) :args (@t2748)) % 0.97/1.17 (step @p5341 :rule quant-merge-prenex :args ((= (forall @t118 @t2750) @t2748))) % 0.97/1.17 (step @p5342 :rule alpha_equiv :args (@t2751 (@list @t1415) @t1631)) % 0.97/1.17 (step @p5343 :rule nary_cong :premises (@p5267 @p5342) :args (@t2752)) % 0.97/1.17 (step @p5344 :rule quant-miniscope-or :args ((= @t2750 @t2752))) % 0.97/1.17 (step @p5345 :rule trans :premises (@p5344 @p5343)) % 0.97/1.17 (step @p5346 :rule symm :premises (@p5345)) % 0.97/1.17 (step @p5347 :rule cong :premises (@p5346) :args ((forall @t118 (or @t1406 @t1394)))) % 0.97/1.17 (step @p5348 :rule trans :premises (@p5347 @p5341)) % 0.97/1.17 (step @p5349 :rule trans :premises (@p5348 @p5340)) % 0.97/1.17 (step @p5350 :rule refl :args (@t1394)) % 0.97/1.17 (step @p5351 :rule nary_cong :premises (@p5282 @p5350) :args (@t2753)) % 0.97/1.17 (step @p5352 :rule cong :premises (@p5351) :args ((forall @t118 @t2753))) % 0.97/1.17 (step @p5353 :rule trans :premises (@p5352 @p5349)) % 0.97/1.17 (step @p5354 :rule bool-impl-elim :args (@t124 @t1394)) % 0.97/1.17 (step @p5355 :rule cong :premises (@p5354) :args ((forall @t118 (=> @t124 @t1394)))) % 0.97/1.17 (step @p5356 :rule trans :premises (@p5355 @p5353)) % 0.97/1.17 (step @p5357 :rule refl :args (@t124)) % 0.97/1.17 (step @p5358 :rule cong :premises (@p5357 @p5256) :args (@t137)) % 0.97/1.17 (step @p5359 :rule cong :premises (@p5358) :args (@t138)) % 0.97/1.17 (step @p5360 :rule trans :premises (@p5359 @p5356)) % 0.97/1.17 (step @p5361 :rule nary_cong :premises (@p5360 @p5338 @p5315 @p5260) :args (@t139)) % 0.97/1.17 (step @p5362 :rule cong :premises (@p5361) :args (@t140)) % 0.97/1.17 (step @p5363 :rule trans :premises (@p5362 @p5116)) % 0.97/1.17 (step @p5364 :rule cong :premises (@p5363) :args (@t141)) % 0.97/1.17 (step @p5365 :rule refl :args (tptp.wellorderingAx)) % 0.97/1.17 (step @p5366 :rule cong :premises (@p5365 @p5364) :args (@t142)) % 0.97/1.17 (step @p5367 :rule eq_resolve :premises (@p11 @p5366)) % 0.97/1.17 (step @p5368 :rule cong :premises (@p5367 @p5101) :args (@t2754)) % 0.97/1.17 (step @p5369 :rule quant-merge-prenex :args ((= (forall @t64 @t2756) @t1431))) % 0.97/1.17 (step @p5370 :rule refl :args (@t1427)) % 0.97/1.17 (step @p5371 :rule alpha_equiv :args (@t2757 (@list @t1428) @t1631)) % 0.97/1.17 (step @p5372 :rule nary_cong :premises (@p5371 @p5370) :args (@t2758)) % 0.97/1.17 (step @p5373 :rule quant-miniscope-or :args ((= @t2756 @t2758))) % 0.97/1.17 (step @p5374 :rule trans :premises (@p5373 @p5372)) % 0.97/1.17 (step @p5375 :rule symm :premises (@p5374)) % 0.97/1.17 (step @p5376 :rule cong :premises (@p5375) :args ((forall @t64 (or @t1279 @t1427)))) % 0.97/1.17 (step @p5377 :rule trans :premises (@p5376 @p5369)) % 0.97/1.17 (step @p5378 :rule nary_cong :premises (@p4748 @p5370) :args ((or @t2599 @t1427))) % 0.97/1.17 (step @p5379 :rule bool-impl-elim :args (@t1280 @t1427)) % 0.97/1.17 (step @p5380 :rule trans :premises (@p5379 @p5378)) % 0.97/1.17 (step @p5381 :rule cong :premises (@p5380) :args ((forall @t64 (=> @t1280 @t1427)))) % 0.97/1.17 (step @p5382 :rule trans :premises (@p5381 @p5377)) % 0.97/1.17 (step @p5383 :rule refl :args (@t1426)) % 0.97/1.17 (step @p5384 :rule nary_cong :premises (@p4486 @p5383) :args (@t2759)) % 0.97/1.17 (step @p5385 :rule cong :premises (@p5384) :args ((forall @t41 @t2759))) % 0.97/1.17 (step @p5386 :rule bool-and-de-morgan :args (@t39 @t1425 true)) % 0.97/1.17 (step @p5387 :rule cong :premises (@p5386) :args (@t2761)) % 0.97/1.17 (step @p5388 :rule trans :premises (@p5387 @p5385)) % 0.97/1.17 (step @p5389 :rule cong :premises (@p5388) :args (@t2762)) % 0.97/1.17 (step @p5390 :rule exists-elim :args ((= (exists @t41 @t2760) @t2762))) % 0.97/1.17 (step @p5391 :rule trans :premises (@p5390 @p5389)) % 0.97/1.17 (step @p5392 :rule bool-double-not-elim :args (@t1425)) % 0.97/1.17 (step @p5393 :rule nary_cong :premises (@p2145 @p839) :args (@t2763)) % 0.97/1.17 (step @p5394 :rule cong :premises (@p5393) :args ((forall @t9 @t2763))) % 0.97/1.17 (step @p5395 :rule bool-and-de-morgan :args (@t6 @t7 true)) % 0.97/1.17 (step @p5396 :rule cong :premises (@p5395) :args (@t2764)) % 0.97/1.17 (step @p5397 :rule trans :premises (@p5396 @p5394)) % 0.97/1.17 (step @p5398 :rule cong :premises (@p5397) :args (@t2765)) % 0.97/1.17 (step @p5399 :rule exists-elim :args ((= @t85 @t2765))) % 0.97/1.17 (step @p5400 :rule trans :premises (@p5399 @p5398)) % 0.97/1.17 (step @p5401 :rule cong :premises (@p5400) :args (@t86)) % 0.97/1.17 (step @p5402 :rule trans :premises (@p5401 @p5392)) % 0.97/1.17 (step @p5403 :rule refl :args (@t39)) % 0.97/1.17 (step @p5404 :rule nary_cong :premises (@p5403 @p5402) :args (@t87)) % 0.97/1.17 (step @p5405 :rule cong :premises (@p5404) :args (@t88)) % 0.97/1.17 (step @p5406 :rule trans :premises (@p5405 @p5391)) % 0.97/1.17 (step @p5407 :rule cong :premises (@p4371 @p5406) :args (@t90)) % 0.97/1.17 (step @p5408 :rule cong :premises (@p5407) :args (@t91)) % 0.97/1.17 (step @p5409 :rule trans :premises (@p5408 @p5382)) % 0.97/1.17 (step @p5410 :rule refl :args (tptp.foundationAx)) % 0.97/1.17 (step @p5411 :rule cong :premises (@p5410 @p5409) :args (@t92)) % 0.97/1.17 (step @p5412 :rule eq_resolve :premises (@p10 @p5411)) % 0.97/1.17 (step @p5413 :rule cong :premises (@p5412 @p5368) :args (@t2766)) % 0.97/1.17 (step @p5414 :rule bool-impl-elim :args (@t1444 @t1436)) % 0.97/1.17 (step @p5415 :rule cong :premises (@p5414) :args ((forall @t81 (=> @t1444 @t1436)))) % 0.97/1.17 (step @p5416 :rule exists-elim :args ((= (exists @t41 @t1435) @t1436))) % 0.97/1.17 (step @p5417 :rule refl :args (@t1434)) % 0.97/1.17 (step @p5418 :rule cong :premises (@p2122 @p5417) :args (@t2767)) % 0.97/1.17 (step @p5419 :rule cong :premises (@p5418) :args ((forall @t9 @t2767))) % 0.97/1.17 (step @p5420 :rule refl :args (@t1433)) % 0.97/1.17 (step @p5421 :rule refl :args (@t68)) % 0.97/1.17 (step @p5422 :rule cong :premises (@p5421 @p5420) :args ((= @t68 @t1433))) % 0.97/1.17 (step @p5423 :rule symm :premises (@p5422)) % 0.97/1.17 (step @p5424 :rule eq_resolve :premises (@p5421 @p5423)) % 0.97/1.17 (step @p5425 :rule cong :premises (@p5424) :args (@t2768)) % 0.97/1.17 (step @p5426 :rule nary_cong :premises (@p1201 @p5425) :args (@t2769)) % 0.97/1.17 (step @p5427 :rule cong :premises (@p5426) :args ((forall @t70 @t2769))) % 0.97/1.17 (step @p5428 :rule bool-and-de-morgan :args (@t21 @t68 true)) % 0.97/1.17 (step @p5429 :rule cong :premises (@p5428) :args (@t2770)) % 0.97/1.17 (step @p5430 :rule trans :premises (@p5429 @p5427)) % 0.97/1.17 (step @p5431 :rule cong :premises (@p5430) :args (@t2771)) % 0.97/1.17 (step @p5432 :rule exists-elim :args ((= @t71 @t2771))) % 0.97/1.17 (step @p5433 :rule trans :premises (@p5432 @p5431)) % 0.97/1.17 (step @p5434 :rule refl :args (@t6)) % 0.97/1.17 (step @p5435 :rule cong :premises (@p5434 @p5433) :args (@t72)) % 0.97/1.17 (step @p5436 :rule cong :premises (@p5435) :args (@t73)) % 0.97/1.17 (step @p5437 :rule trans :premises (@p5436 @p5419)) % 0.97/1.17 (step @p5438 :rule cong :premises (@p5437) :args (@t74)) % 0.97/1.17 (step @p5439 :rule trans :premises (@p5438 @p5416)) % 0.97/1.17 (step @p5440 :rule refl :args (@t1443)) % 0.97/1.17 (step @p5441 :rule nary_cong :premises (@p839 @p5440) :args (@t2772)) % 0.97/1.17 (step @p5442 :rule cong :premises (@p5441) :args ((forall @t9 @t2772))) % 0.97/1.17 (step @p5443 :rule bool-impl-elim :args (@t7 @t1443)) % 0.97/1.17 (step @p5444 :rule cong :premises (@p5443) :args ((forall @t9 (=> @t7 @t1443)))) % 0.97/1.17 (step @p5445 :rule trans :premises (@p5444 @p5442)) % 0.97/1.17 (step @p5446 :rule refl :args (@t1440)) % 0.97/1.17 (step @p5447 :rule refl :args (@t1441)) % 0.97/1.17 (step @p5448 :rule refl :args (@t2773)) % 0.97/1.17 (step @p5449 :rule cong :premises (@p5448 @p5447) :args ((= @t2773 @t1441))) % 0.97/1.17 (step @p5450 :rule symm :premises (@p5449)) % 0.97/1.17 (step @p5451 :rule eq_resolve :premises (@p5448 @p5450)) % 0.97/1.17 (step @p5452 :rule cong :premises (@p5451) :args (@t2774)) % 0.97/1.17 (step @p5453 :rule nary_cong :premises (@p5452 @p5446) :args (@t2775)) % 0.97/1.17 (step @p5454 :rule cong :premises (@p5453) :args ((forall @t1442 @t2775))) % 0.97/1.17 (step @p5455 :rule refl :args (@t1438)) % 0.97/1.17 (step @p5456 :rule refl :args (@t1439)) % 0.97/1.17 (step @p5457 :rule refl :args (@t76)) % 0.97/1.17 (step @p5458 :rule cong :premises (@p5457 @p5456) :args ((= @t76 @t1439))) % 0.97/1.17 (step @p5459 :rule symm :premises (@p5458)) % 0.97/1.17 (step @p5460 :rule eq_resolve :premises (@p5457 @p5459)) % 0.97/1.17 (step @p5461 :rule cong :premises (@p5460) :args (@t2776)) % 0.97/1.17 (step @p5462 :rule nary_cong :premises (@p5461 @p5455) :args (@t2777)) % 0.97/1.17 (step @p5463 :rule cong :premises (@p5462) :args ((forall @t70 @t2777))) % 0.97/1.17 (step @p5464 :rule refl :args (@t1438)) % 0.97/1.17 (step @p5465 :rule beta-reduce :args ((= @t2778 @t76))) % 0.97/1.17 (step @p5466 :rule cong :premises (@p5465) :args (@t2779)) % 0.97/1.17 (step @p5467 :rule nary_cong :premises (@p5466 @p5464) :args (@t2780)) % 0.97/1.17 (step @p5468 :rule cong :premises (@p5467) :args (@t2781)) % 0.97/1.17 (step @p5469 :rule trans :premises (@p5468 @p5463)) % 0.97/1.17 (step @p5470 :rule cong :premises (@p5469) :args (@t2782)) % 0.97/1.17 (step @p5471 :rule beta-reduce :args ((= @t2783 @t2773))) % 0.97/1.17 (step @p5472 :rule cong :premises (@p5471) :args (@t2784)) % 0.97/1.17 (step @p5473 :rule nary_cong :premises (@p5472 @p5470) :args (@t2785)) % 0.97/1.17 (step @p5474 :rule cong :premises (@p5473) :args (@t2786)) % 0.97/1.17 (step @p5475 :rule trans :premises (@p5474 @p5454)) % 0.97/1.17 (step @p5476 :rule cong :premises (@p5475) :args (@t2787)) % 0.97/1.17 (step @p5477 :rule beta-reduce :args ((= (_ (lambda @t150 (not (forall @t1442 (or @t2788 (not (forall @t70 (or @t1049 @t1438))))))) @t77) @t2787))) % 0.97/1.17 (step @p5478 :rule trans :premises (@p5477 @p5476)) % 0.97/1.17 (step @p5479 :rule refl :args (@t77)) % 0.97/1.17 (step @p5480 :rule eq-symm :args (@t1437 @t19)) % 0.97/1.17 (step @p5481 :rule nary_cong :premises (@p3387 @p5480) :args (@t2789)) % 0.97/1.17 (step @p5482 :rule cong :premises (@p5481) :args (@t2790)) % 0.97/1.17 (step @p5483 :rule cong :premises (@p5482) :args (@t2791)) % 0.97/1.17 (step @p5484 :rule refl :args (@t2788)) % 0.97/1.17 (step @p5485 :rule nary_cong :premises (@p5484 @p5483) :args (@t2792)) % 0.97/1.17 (step @p5486 :rule cong :premises (@p5485) :args (@t2793)) % 0.97/1.17 (step @p5487 :rule cong :premises (@p5486) :args (@t2794)) % 0.97/1.17 (step @p5488 :rule cong :premises (@p5487) :args ((lambda @t150 @t2794))) % 0.97/1.17 (step @p5489 :rule ho_cong :premises (@p5488 @p5479)) % 0.97/1.17 (step @p5490 :rule trans :premises (@p5489 @p5478)) % 0.97/1.17 (step @p5491 :rule refl :args (@t77)) % 0.97/1.17 (step @p5492 :rule alpha_equiv :args (@t1231 @t1631 (@list @t1437))) % 0.97/1.17 (step @p5493 :rule cong :premises (@p5492) :args (@t1232)) % 0.97/1.17 (step @p5494 :rule cong :premises (@p5493) :args (@t2277)) % 0.97/1.17 (step @p5495 :rule ho_cong :premises (@p5494 @p5491)) % 0.97/1.17 (step @p5496 :rule trans :premises (@p5495 @p5490)) % 0.97/1.17 (step @p5497 :rule cong :premises (@p1226 @p5496) :args (@t2795)) % 0.97/1.17 (step @p5498 :rule cong :premises (@p5497) :args (@t2796)) % 0.97/1.17 (step @p5499 :rule trans :premises (@p5498 @p5445)) % 0.97/1.17 (step @p5500 :rule cong :premises (@p5499 @p5439) :args (@t2797)) % 0.97/1.17 (step @p5501 :rule cong :premises (@p5500) :args (@t2798)) % 0.97/1.17 (step @p5502 :rule trans :premises (@p5501 @p5415)) % 0.97/1.17 (step @p5503 :rule refl :args (tptp.replAx)) % 0.97/1.17 (step @p5504 :rule cong :premises (@p5503 @p5502) :args ((= tptp.replAx @t2798))) % 0.97/1.17 (step @p5505 :rule refl :args (@t74)) % 0.97/1.17 (step @p5506 :rule ho_cong :premises (@p3547 @p5479)) % 0.97/1.17 (step @p5507 :rule cong :premises (@p1226 @p5506) :args (@t78)) % 0.97/1.17 (step @p5508 :rule cong :premises (@p5507) :args (@t79)) % 0.97/1.17 (step @p5509 :rule cong :premises (@p5508 @p5505) :args (@t80)) % 0.97/1.17 (step @p5510 :rule cong :premises (@p5509) :args (@t82)) % 0.97/1.17 (step @p5511 :rule cong :premises (@p5503 @p5510) :args (@t83)) % 0.97/1.17 (step @p5512 :rule trans :premises (@p5511 @p5504)) % 0.97/1.17 (step @p5513 :rule eq_resolve :premises (@p9 @p5512)) % 0.97/1.17 (step @p5514 :rule cong :premises (@p5513 @p5413) :args (@t2799)) % 0.97/1.17 (step @p5515 :rule aci_norm :args ((= @t2801 @t1458))) % 0.97/1.17 (step @p5516 :rule cong :premises (@p5515) :args (@t2802)) % 0.97/1.17 (step @p5517 :rule quant-merge-prenex :args ((= (forall @t64 @t2804) @t2802))) % 0.97/1.17 (step @p5518 :rule alpha_equiv :args (@t2805 (@list @t1447) @t1631)) % 0.97/1.17 (step @p5519 :rule refl :args (@t1455)) % 0.97/1.17 (step @p5520 :rule refl :args (@t1457)) % 0.97/1.17 (step @p5521 :rule nary_cong :premises (@p5520 @p5519 @p5518) :args (@t2806)) % 0.97/1.17 (step @p5522 :rule quant-miniscope-or :args ((= @t2804 @t2806))) % 0.97/1.17 (step @p5523 :rule trans :premises (@p5522 @p5521)) % 0.97/1.17 (step @p5524 :rule symm :premises (@p5523)) % 0.97/1.17 (step @p5525 :rule cong :premises (@p5524) :args ((forall @t64 (or @t1457 @t1455 @t2807)))) % 0.97/1.17 (step @p5526 :rule trans :premises (@p5525 @p5517)) % 0.97/1.17 (step @p5527 :rule trans :premises (@p5526 @p5516)) % 0.97/1.17 (step @p5528 :rule refl :args (@t2807)) % 0.97/1.17 (step @p5529 :rule refl :args (@t1456)) % 0.97/1.17 (step @p5530 :rule refl :args (@t61)) % 0.97/1.17 (step @p5531 :rule cong :premises (@p5530 @p5529) :args ((= @t61 @t1456))) % 0.97/1.17 (step @p5532 :rule symm :premises (@p5531)) % 0.97/1.17 (step @p5533 :rule eq_resolve :premises (@p5530 @p5532)) % 0.97/1.17 (step @p5534 :rule cong :premises (@p5533) :args (@t2808)) % 0.97/1.17 (step @p5535 :rule nary_cong :premises (@p5534 @p5519 @p5528) :args (@t2809)) % 0.97/1.17 (step @p5536 :rule cong :premises (@p5535) :args ((forall @t64 @t2809))) % 0.97/1.17 (step @p5537 :rule trans :premises (@p5536 @p5527)) % 0.97/1.17 (step @p5538 :rule aci_norm :args ((= (or (or @t2808 @t1455) @t2807) @t2809))) % 0.97/1.17 (step @p5539 :rule bool-and-de-morgan :args (@t61 @t1454 true)) % 0.97/1.17 (step @p5540 :rule nary_cong :premises (@p5539 @p5528) :args ((or (not @t2810) @t2807))) % 0.97/1.17 (step @p5541 :rule trans :premises (@p5540 @p5538)) % 0.97/1.17 (step @p5542 :rule bool-impl-elim :args (@t2810 @t2807)) % 0.97/1.17 (step @p5543 :rule trans :premises (@p5542 @p5541)) % 0.97/1.17 (step @p5544 :rule cong :premises (@p5543) :args ((forall @t64 (=> @t2810 @t2807)))) % 0.97/1.17 (step @p5545 :rule trans :premises (@p5544 @p5537)) % 0.97/1.17 (step @p5546 :rule refl :args (@t1452)) % 0.97/1.17 (step @p5547 :rule refl :args (@t54)) % 0.97/1.17 (step @p5548 :rule cong :premises (@p5547 @p5546) :args ((= @t54 @t1452))) % 0.97/1.17 (step @p5549 :rule symm :premises (@p5548)) % 0.97/1.17 (step @p5550 :rule eq_resolve :premises (@p5547 @p5549)) % 0.97/1.17 (step @p5551 :rule cong :premises (@p5550) :args (@t2811)) % 0.97/1.17 (step @p5552 :rule nary_cong :premises (@p5551 @p838) :args (@t2812)) % 0.97/1.17 (step @p5553 :rule cong :premises (@p5552) :args ((forall @t9 @t2812))) % 0.97/1.17 (step @p5554 :rule bool-impl-elim :args (@t54 @t7)) % 0.97/1.17 (step @p5555 :rule cong :premises (@p5554) :args (@t57)) % 0.97/1.17 (step @p5556 :rule trans :premises (@p5555 @p5553)) % 0.97/1.17 (step @p5557 :rule refl :args ((tptp.in @t51 @t2))) % 0.97/1.17 (step @p5558 :rule refl :args (@t1450)) % 0.97/1.17 (step @p5559 :rule cong :premises (@p5558 @p677) :args (@t1451)) % 0.97/1.17 (step @p5560 :rule trans :premises (@p5559 @p5557)) % 0.97/1.17 (step @p5561 :rule ho_cong :premises (@p681 @p5558)) % 0.97/1.17 (step @p5562 :rule ho_cong :premises (@p5561 @p677)) % 0.97/1.17 (step @p5563 :rule cong :premises (@p5562 @p5560) :args ((= (_ @t2813 @t2) @t1451))) % 0.97/1.17 (step @p5564 :rule symm :premises (@p5563)) % 0.97/1.17 (step @p5565 :rule refl :args (@t58)) % 0.97/1.17 (step @p5566 :rule eq_resolve :premises (@p5565 @p5564)) % 0.97/1.17 (step @p5567 :rule refl :args (@t51)) % 0.97/1.17 (step @p5568 :rule cong :premises (@p5567 @p5558) :args ((= @t51 @t1450))) % 0.97/1.17 (step @p5569 :rule symm :premises (@p5568)) % 0.97/1.17 (step @p5570 :rule eq_resolve :premises (@p5567 @p5569)) % 0.97/1.17 (step @p5571 :rule ho_cong :premises (@p681 @p5570)) % 0.97/1.17 (step @p5572 :rule ho_cong :premises (@p5571 @p677)) % 0.97/1.17 (step @p5573 :rule trans :premises (@p5572 @p5566)) % 0.97/1.17 (step @p5574 :rule nary_cong :premises (@p5551 @p839 @p5573) :args (@t2814)) % 0.97/1.17 (step @p5575 :rule cong :premises (@p5574) :args ((forall @t9 @t2814))) % 0.97/1.17 (step @p5576 :rule aci_norm :args ((= (or (or @t2811 @t197) @t58) @t2814))) % 0.97/1.17 (step @p5577 :rule bool-and-de-morgan :args (@t54 @t7 true)) % 0.97/1.17 (step @p5578 :rule nary_cong :premises (@p5577 @p5565) :args ((or (not @t59) @t58))) % 0.97/1.17 (step @p5579 :rule trans :premises (@p5578 @p5576)) % 0.97/1.17 (step @p5580 :rule bool-impl-elim :args (@t59 @t58)) % 0.97/1.17 (step @p5581 :rule trans :premises (@p5580 @p5579)) % 0.97/1.17 (step @p5582 :rule cong :premises (@p5581) :args (@t60)) % 0.97/1.17 (step @p5583 :rule trans :premises (@p5582 @p5575)) % 0.97/1.17 (step @p5584 :rule refl :args (@t61)) % 0.97/1.17 (step @p5585 :rule nary_cong :premises (@p5584 @p5583) :args (@t62)) % 0.97/1.17 (step @p5586 :rule cong :premises (@p5585 @p5556) :args (@t63)) % 0.97/1.17 (step @p5587 :rule cong :premises (@p5586) :args (@t65)) % 0.97/1.17 (step @p5588 :rule trans :premises (@p5587 @p5545)) % 0.97/1.17 (step @p5589 :rule refl :args (tptp.omegaIndAx)) % 0.97/1.17 (step @p5590 :rule cong :premises (@p5589 @p5588) :args (@t66)) % 0.97/1.17 (step @p5591 :rule eq_resolve :premises (@p8 @p5590)) % 0.97/1.17 (step @p5592 :rule cong :premises (@p5591 @p5514) :args (@t2815)) % 0.97/1.17 (step @p5593 :rule refl :args ((tptp.in @t51 tptp.omega))) % 0.97/1.17 (step @p5594 :rule refl :args (tptp.omega)) % 0.97/1.17 (step @p5595 :rule cong :premises (@p5558 @p5594) :args (@t1462)) % 0.97/1.17 (step @p5596 :rule trans :premises (@p5595 @p5593)) % 0.97/1.17 (step @p5597 :rule ho_cong :premises (@p5561 @p5594)) % 0.97/1.17 (step @p5598 :rule cong :premises (@p5597 @p5596) :args ((= (_ @t2813 tptp.omega) @t1462))) % 0.97/1.17 (step @p5599 :rule symm :premises (@p5598)) % 0.97/1.17 (step @p5600 :rule refl :args (@t53)) % 0.97/1.17 (step @p5601 :rule eq_resolve :premises (@p5600 @p5599)) % 0.97/1.17 (step @p5602 :rule ho_cong :premises (@p5571 @p5594)) % 0.97/1.17 (step @p5603 :rule trans :premises (@p5602 @p5601)) % 0.97/1.17 (step @p5604 :rule nary_cong :premises (@p5551 @p5603) :args (@t2816)) % 0.97/1.17 (step @p5605 :rule cong :premises (@p5604) :args ((forall @t9 @t2816))) % 0.97/1.17 (step @p5606 :rule bool-impl-elim :args (@t54 @t53)) % 0.97/1.17 (step @p5607 :rule cong :premises (@p5606) :args (@t55)) % 0.97/1.17 (step @p5608 :rule trans :premises (@p5607 @p5605)) % 0.97/1.17 (step @p5609 :rule refl :args (tptp.omegaSAx)) % 0.97/1.17 (step @p5610 :rule cong :premises (@p5609 @p5608) :args (@t56)) % 0.97/1.17 (step @p5611 :rule eq_resolve :premises (@p7 @p5610)) % 0.97/1.17 (step @p5612 :rule cong :premises (@p5611 @p5592) :args (@t2817)) % 0.97/1.17 (step @p5613 :rule cong :premises (@p6 @p5612) :args (@t2818)) % 0.97/1.17 (step @p5614 :rule cong :premises (@p995 @p4454) :args (@t2819)) % 0.97/1.17 (step @p5615 :rule cong :premises (@p5614) :args ((forall @t46 @t2819))) % 0.97/1.17 (step @p5616 :rule bool-and-de-morgan :args (@t6 @t39 true)) % 0.97/1.17 (step @p5617 :rule cong :premises (@p5616) :args (@t2820)) % 0.97/1.17 (step @p5618 :rule trans :premises (@p5617 @p4488)) % 0.97/1.17 (step @p5619 :rule cong :premises (@p5618) :args (@t2821)) % 0.97/1.17 (step @p5620 :rule exists-elim :args ((= @t42 @t2821))) % 0.97/1.17 (step @p5621 :rule trans :premises (@p5620 @p5619)) % 0.97/1.17 (step @p5622 :rule cong :premises (@p1033 @p5621) :args (@t45)) % 0.97/1.17 (step @p5623 :rule cong :premises (@p5622) :args (@t47)) % 0.97/1.17 (step @p5624 :rule trans :premises (@p5623 @p5615)) % 0.97/1.17 (step @p5625 :rule refl :args (tptp.setunionAx)) % 0.97/1.17 (step @p5626 :rule cong :premises (@p5625 @p5624) :args (@t48)) % 0.97/1.17 (step @p5627 :rule eq_resolve :premises (@p5 @p5626)) % 0.97/1.17 (step @p5628 :rule cong :premises (@p5627 @p5613) :args (@t2822)) % 0.97/1.17 (step @p5629 :rule eq-symm :args (@t1170 @t1309)) % 0.97/1.17 (step @p5630 :rule cong :premises (@p5629) :args ((forall @t12 (= @t1170 @t1309)))) % 0.97/1.17 (step @p5631 :rule refl :args (@t1309)) % 0.97/1.17 (step @p5632 :rule cong :premises (@p2911 @p5631) :args (@t2823)) % 0.97/1.17 (step @p5633 :rule cong :premises (@p5632) :args ((forall @t12 @t2823))) % 0.97/1.17 (step @p5634 :rule trans :premises (@p5633 @p5630)) % 0.97/1.17 (step @p5635 :rule cong :premises (@p4572 @p4576) :args (@t36)) % 0.97/1.17 (step @p5636 :rule cong :premises (@p5635) :args (@t37)) % 0.97/1.17 (step @p5637 :rule trans :premises (@p5636 @p5634)) % 0.97/1.17 (step @p5638 :rule refl :args (tptp.powersetAx)) % 0.97/1.17 (step @p5639 :rule cong :premises (@p5638 @p5637) :args (@t38)) % 0.97/1.17 (step @p5640 :rule eq_resolve :premises (@p4 @p5639)) % 0.97/1.17 (step @p5641 :rule cong :premises (@p5640 @p5628) :args (@t2824)) % 0.97/1.17 (step @p5642 :rule nary_cong :premises (@p1072 @p1200) :args (@t2568)) % 0.97/1.17 (step @p5643 :rule cong :premises (@p4618 @p5642) :args (@t2825)) % 0.97/1.17 (step @p5644 :rule cong :premises (@p5643) :args ((forall @t28 @t2825))) % 0.97/1.17 (step @p5645 :rule cong :premises (@p4628 @p4627) :args (@t27)) % 0.97/1.17 (step @p5646 :rule cong :premises (@p5645) :args (@t29)) % 0.97/1.17 (step @p5647 :rule trans :premises (@p5646 @p5644)) % 0.97/1.17 (step @p5648 :rule refl :args (tptp.setadjoinAx)) % 0.97/1.17 (step @p5649 :rule cong :premises (@p5648 @p5647) :args (@t30)) % 0.97/1.17 (step @p5650 :rule eq_resolve :premises (@p3 @p5649)) % 0.97/1.17 (step @p5651 :rule cong :premises (@p5650 @p5641) :args (@t2826)) % 0.97/1.17 (step @p5652 :rule refl :args (tptp.emptysetAx)) % 0.97/1.17 (step @p5653 :rule cong :premises (@p5652 @p4925) :args (@t18)) % 0.97/1.17 (step @p5654 :rule eq_resolve :premises (@p2 @p5653)) % 0.97/1.17 (step @p5655 :rule cong :premises (@p5654 @p5651) :args (@t2827)) % 0.97/1.17 (step @p5656 :rule bool-impl-elim :args (@t1475 @t3)) % 0.97/1.17 (step @p5657 :rule cong :premises (@p5656) :args ((forall @t12 (=> @t1475 @t3)))) % 0.97/1.17 (step @p5658 :rule cong :premises (@p838 @p2122) :args (@t8)) % 0.97/1.17 (step @p5659 :rule cong :premises (@p5658) :args (@t10)) % 0.97/1.17 (step @p5660 :rule cong :premises (@p5659 @p3372) :args (@t11)) % 0.97/1.17 (step @p5661 :rule cong :premises (@p5660) :args (@t13)) % 0.97/1.17 (step @p5662 :rule trans :premises (@p5661 @p5657)) % 0.97/1.17 (step @p5663 :rule refl :args (tptp.setextAx)) % 0.97/1.17 (step @p5664 :rule cong :premises (@p5663 @p5662) :args (@t14)) % 0.97/1.17 (step @p5665 :rule eq_resolve :premises (@p1 @p5664)) % 0.97/1.17 (step @p5666 :rule cong :premises (@p5665 @p5655) :args (@t2828)) % 0.97/1.17 (step @p5667 :rule cong :premises (@p5666) :args ((not @t2828))) % 0.97/1.17 (step @p5668 :rule trans :premises (@p5667 @p430)) % 0.97/1.17 (step @p5669 :rule cong :premises (@p536 @p497) :args (@t789)) % 0.97/1.17 (step @p5670 :rule cong :premises (@p5669) :args (@t2829)) % 0.97/1.17 (step @p5671 :rule nary_cong :premises (@p5670 @p1072) :args (@t2830)) % 0.97/1.17 (step @p5672 :rule cong :premises (@p5671) :args ((forall @t295 @t2830))) % 0.97/1.17 (step @p5673 :rule bool-impl-elim :args (@t789 @t129)) % 0.97/1.17 (step @p5674 :rule cong :premises (@p5673) :args (@t790)) % 0.97/1.17 (step @p5675 :rule trans :premises (@p5674 @p5672)) % 0.97/1.17 (step @p5676 :rule cong :premises (@p561 @p5675) :args (@t791)) % 0.97/1.17 (step @p5677 :rule cong :premises (@p601 @p5676) :args (@t792)) % 0.97/1.17 (step @p5678 :rule cong :premises (@p632 @p5677) :args (@t793)) % 0.97/1.17 (step @p5679 :rule cong :premises (@p657 @p5678) :args (@t794)) % 0.97/1.17 (step @p5680 :rule cong :premises (@p672 @p5679) :args (@t795)) % 0.97/1.17 (step @p5681 :rule cong :premises (@p718 @p5680) :args (@t796)) % 0.97/1.17 (step @p5682 :rule cong :premises (@p742 @p5681) :args (@t797)) % 0.97/1.17 (step @p5683 :rule cong :premises (@p829 @p5682) :args (@t798)) % 0.97/1.17 (step @p5684 :rule cong :premises (@p963 @p5683) :args (@t799)) % 0.97/1.17 (step @p5685 :rule cong :premises (@p1064 @p5684) :args (@t800)) % 0.97/1.17 (step @p5686 :rule cong :premises (@p1085 @p5685) :args (@t801)) % 0.97/1.17 (step @p5687 :rule cong :premises (@p1233 @p5686) :args (@t802)) % 0.97/1.17 (step @p5688 :rule cong :premises (@p1382 @p5687) :args (@t803)) % 0.97/1.17 (step @p5689 :rule cong :premises (@p1421 @p5688) :args (@t804)) % 0.97/1.17 (step @p5690 :rule cong :premises (@p1433 @p5689) :args (@t805)) % 0.97/1.17 (step @p5691 :rule cong :premises (@p1458 @p5690) :args (@t806)) % 0.97/1.17 (step @p5692 :rule cong :premises (@p1489 @p5691) :args (@t807)) % 0.97/1.17 (step @p5693 :rule cong :premises (@p1507 @p5692) :args (@t808)) % 0.97/1.17 (step @p5694 :rule cong :premises (@p1540 @p5693) :args (@t809)) % 0.97/1.17 (step @p5695 :rule cong :premises (@p1554 @p5694) :args (@t810)) % 0.97/1.17 (step @p5696 :rule cong :premises (@p1619 @p5695) :args (@t811)) % 0.97/1.17 (step @p5697 :rule cong :premises (@p1677 @p5696) :args (@t812)) % 0.97/1.17 (step @p5698 :rule cong :premises (@p1756 @p5697) :args (@t813)) % 0.97/1.17 (step @p5699 :rule cong :premises (@p1770 @p5698) :args (@t814)) % 0.97/1.17 (step @p5700 :rule cong :premises (@p1812 @p5699) :args (@t815)) % 0.97/1.17 (step @p5701 :rule cong :premises (@p1854 @p5700) :args (@t816)) % 0.97/1.17 (step @p5702 :rule cong :premises (@p1896 @p5701) :args (@t817)) % 0.97/1.17 (step @p5703 :rule cong :premises (@p1901 @p5702) :args (@t818)) % 0.97/1.17 (step @p5704 :rule cong :premises (@p1952 @p5703) :args (@t819)) % 0.97/1.17 (step @p5705 :rule cong :premises (@p1976 @p5704) :args (@t820)) % 0.97/1.17 (step @p5706 :rule cong :premises (@p1997 @p5705) :args (@t821)) % 0.97/1.17 (step @p5707 :rule cong :premises (@p2025 @p5706) :args (@t822)) % 0.97/1.17 (step @p5708 :rule cong :premises (@p2034 @p5707) :args (@t823)) % 0.97/1.17 (step @p5709 :rule cong :premises (@p2064 @p5708) :args (@t824)) % 0.97/1.17 (step @p5710 :rule cong :premises (@p2079 @p5709) :args (@t825)) % 0.97/1.17 (step @p5711 :rule cong :premises (@p2084 @p5710) :args (@t826)) % 0.97/1.17 (step @p5712 :rule cong :premises (@p2141 @p5711) :args (@t827)) % 0.97/1.17 (step @p5713 :rule cong :premises (@p2156 @p5712) :args (@t828)) % 0.97/1.17 (step @p5714 :rule cong :premises (@p2173 @p5713) :args (@t829)) % 0.97/1.17 (step @p5715 :rule cong :premises (@p2189 @p5714) :args (@t830)) % 0.97/1.17 (step @p5716 :rule cong :premises (@p2264 @p5715) :args (@t831)) % 0.97/1.17 (step @p5717 :rule cong :premises (@p2290 @p5716) :args (@t832)) % 0.97/1.17 (step @p5718 :rule cong :premises (@p2307 @p5717) :args (@t833)) % 0.97/1.17 (step @p5719 :rule cong :premises (@p2327 @p5718) :args (@t834)) % 0.97/1.17 (step @p5720 :rule cong :premises (@p2339 @p5719) :args (@t835)) % 0.97/1.17 (step @p5721 :rule cong :premises (@p2359 @p5720) :args (@t836)) % 0.97/1.17 (step @p5722 :rule cong :premises (@p2376 @p5721) :args (@t837)) % 0.97/1.17 (step @p5723 :rule cong :premises (@p2389 @p5722) :args (@t838)) % 0.97/1.17 (step @p5724 :rule cong :premises (@p2398 @p5723) :args (@t839)) % 0.97/1.17 (step @p5725 :rule cong :premises (@p2407 @p5724) :args (@t840)) % 0.97/1.17 (step @p5726 :rule cong :premises (@p2423 @p5725) :args (@t841)) % 0.97/1.17 (step @p5727 :rule cong :premises (@p2468 @p5726) :args (@t842)) % 0.97/1.17 (step @p5728 :rule cong :premises (@p2483 @p5727) :args (@t843)) % 0.97/1.17 (step @p5729 :rule cong :premises (@p2505 @p5728) :args (@t844)) % 0.97/1.17 (step @p5730 :rule cong :premises (@p2522 @p5729) :args (@t845)) % 0.97/1.17 (step @p5731 :rule cong :premises (@p2548 @p5730) :args (@t846)) % 0.97/1.17 (step @p5732 :rule cong :premises (@p2568 @p5731) :args (@t847)) % 0.97/1.17 (step @p5733 :rule cong :premises (@p2581 @p5732) :args (@t848)) % 0.97/1.17 (step @p5734 :rule cong :premises (@p2593 @p5733) :args (@t849)) % 0.97/1.17 (step @p5735 :rule cong :premises (@p2608 @p5734) :args (@t850)) % 0.97/1.17 (step @p5736 :rule cong :premises (@p2617 @p5735) :args (@t851)) % 0.97/1.17 (step @p5737 :rule cong :premises (@p2656 @p5736) :args (@t852)) % 0.97/1.17 (step @p5738 :rule cong :premises (@p2670 @p5737) :args (@t853)) % 0.97/1.17 (step @p5739 :rule cong :premises (@p2686 @p5738) :args (@t854)) % 0.97/1.17 (step @p5740 :rule cong :premises (@p2701 @p5739) :args (@t855)) % 0.97/1.17 (step @p5741 :rule cong :premises (@p2723 @p5740) :args (@t856)) % 0.97/1.17 (step @p5742 :rule cong :premises (@p2774 @p5741) :args (@t857)) % 0.97/1.17 (step @p5743 :rule cong :premises (@p2783 @p5742) :args (@t858)) % 0.97/1.17 (step @p5744 :rule cong :premises (@p2788 @p5743) :args (@t859)) % 0.97/1.17 (step @p5745 :rule cong :premises (@p2800 @p5744) :args (@t860)) % 0.97/1.17 (step @p5746 :rule cong :premises (@p2834 @p5745) :args (@t861)) % 0.97/1.17 (step @p5747 :rule cong :premises (@p2855 @p5746) :args (@t862)) % 0.97/1.17 (step @p5748 :rule cong :premises (@p2881 @p5747) :args (@t863)) % 0.97/1.17 (step @p5749 :rule cong :premises (@p2897 @p5748) :args (@t864)) % 0.97/1.17 (step @p5750 :rule cong :premises (@p2918 @p5749) :args (@t865)) % 0.97/1.17 (step @p5751 :rule cong :premises (@p2927 @p5750) :args (@t866)) % 0.97/1.17 (step @p5752 :rule cong :premises (@p2943 @p5751) :args (@t867)) % 0.97/1.17 (step @p5753 :rule cong :premises (@p2959 @p5752) :args (@t868)) % 0.97/1.17 (step @p5754 :rule cong :premises (@p2978 @p5753) :args (@t869)) % 0.97/1.17 (step @p5755 :rule cong :premises (@p3002 @p5754) :args (@t870)) % 0.97/1.17 (step @p5756 :rule cong :premises (@p3022 @p5755) :args (@t871)) % 0.97/1.17 (step @p5757 :rule cong :premises (@p3047 @p5756) :args (@t872)) % 0.97/1.17 (step @p5758 :rule cong :premises (@p3057 @p5757) :args (@t873)) % 0.97/1.17 (step @p5759 :rule cong :premises (@p3099 @p5758) :args (@t874)) % 0.97/1.17 (step @p5760 :rule cong :premises (@p3129 @p5759) :args (@t875)) % 0.97/1.17 (step @p5761 :rule cong :premises (@p3145 @p5760) :args (@t876)) % 0.97/1.17 (step @p5762 :rule cong :premises (@p3158 @p5761) :args (@t877)) % 0.97/1.17 (step @p5763 :rule cong :premises (@p3171 @p5762) :args (@t878)) % 0.97/1.17 (step @p5764 :rule cong :premises (@p3181 @p5763) :args (@t879)) % 0.97/1.17 (step @p5765 :rule cong :premises (@p3186 @p5764) :args (@t880)) % 0.97/1.17 (step @p5766 :rule cong :premises (@p3226 @p5765) :args (@t881)) % 0.97/1.17 (step @p5767 :rule cong :premises (@p3246 @p5766) :args (@t882)) % 0.97/1.17 (step @p5768 :rule cong :premises (@p3250 @p5767) :args (@t883)) % 0.97/1.17 (step @p5769 :rule cong :premises (@p3376 @p5768) :args (@t884)) % 0.97/1.17 (step @p5770 :rule cong :premises (@p3532 @p5769) :args (@t885)) % 0.97/1.17 (step @p5771 :rule cong :premises (@p3594 @p5770) :args (@t886)) % 0.97/1.17 (step @p5772 :rule cong :premises (@p3606 @p5771) :args (@t887)) % 0.97/1.17 (step @p5773 :rule cong :premises (@p3643 @p5772) :args (@t888)) % 0.97/1.17 (step @p5774 :rule cong :premises (@p3673 @p5773) :args (@t889)) % 0.97/1.17 (step @p5775 :rule cong :premises (@p3744 @p5774) :args (@t890)) % 0.97/1.17 (step @p5776 :rule cong :premises (@p3753 @p5775) :args (@t891)) % 0.97/1.17 (step @p5777 :rule cong :premises (@p3765 @p5776) :args (@t892)) % 0.97/1.17 (step @p5778 :rule cong :premises (@p3774 @p5777) :args (@t893)) % 0.97/1.17 (step @p5779 :rule cong :premises (@p3835 @p5778) :args (@t894)) % 0.97/1.17 (step @p5780 :rule cong :premises (@p3909 @p5779) :args (@t895)) % 0.97/1.17 (step @p5781 :rule cong :premises (@p3955 @p5780) :args (@t896)) % 0.97/1.17 (step @p5782 :rule cong :premises (@p3994 @p5781) :args (@t897)) % 0.97/1.17 (step @p5783 :rule cong :premises (@p4017 @p5782) :args (@t898)) % 0.97/1.17 (step @p5784 :rule cong :premises (@p4033 @p5783) :args (@t899)) % 0.97/1.17 (step @p5785 :rule cong :premises (@p4074 @p5784) :args (@t900)) % 0.97/1.17 (step @p5786 :rule cong :premises (@p4132 @p5785) :args (@t901)) % 0.97/1.17 (step @p5787 :rule cong :premises (@p4163 @p5786) :args (@t902)) % 0.97/1.17 (step @p5788 :rule cong :premises (@p4172 @p5787) :args (@t903)) % 0.97/1.17 (step @p5789 :rule cong :premises (@p4180 @p5788) :args (@t904)) % 0.97/1.17 (step @p5790 :rule cong :premises (@p4191 @p5789) :args (@t905)) % 0.97/1.17 (step @p5791 :rule cong :premises (@p4199 @p5790) :args (@t906)) % 0.97/1.17 (step @p5792 :rule cong :premises (@p4216 @p5791) :args (@t907)) % 0.97/1.17 (step @p5793 :rule cong :premises (@p4257 @p5792) :args (@t908)) % 0.97/1.17 (step @p5794 :rule cong :premises (@p4261 @p5793) :args (@t909)) % 0.97/1.17 (step @p5795 :rule cong :premises (@p4276 @p5794) :args (@t910)) % 0.97/1.17 (step @p5796 :rule cong :premises (@p4280 @p5795) :args (@t911)) % 0.97/1.17 (step @p5797 :rule cong :premises (@p4310 @p5796) :args (@t912)) % 0.97/1.17 (step @p5798 :rule cong :premises (@p4335 @p5797) :args (@t913)) % 0.97/1.17 (step @p5799 :rule cong :premises (@p4349 @p5798) :args (@t914)) % 0.97/1.17 (step @p5800 :rule cong :premises (@p4358 @p5799) :args (@t915)) % 0.97/1.17 (step @p5801 :rule cong :premises (@p4379 @p5800) :args (@t916)) % 0.97/1.17 (step @p5802 :rule cong :premises (@p4417 @p5801) :args (@t917)) % 0.97/1.17 (step @p5803 :rule cong :premises (@p4450 @p5802) :args (@t918)) % 0.97/1.17 (step @p5804 :rule cong :premises (@p4510 @p5803) :args (@t919)) % 0.97/1.17 (step @p5805 :rule cong :premises (@p4524 @p5804) :args (@t920)) % 0.97/1.17 (step @p5806 :rule cong :premises (@p4539 @p5805) :args (@t921)) % 0.97/1.17 (step @p5807 :rule cong :premises (@p4544 @p5806) :args (@t922)) % 0.97/1.17 (step @p5808 :rule cong :premises (@p4562 @p5807) :args (@t923)) % 0.97/1.17 (step @p5809 :rule cong :premises (@p4580 @p5808) :args (@t924)) % 0.97/1.17 (step @p5810 :rule cong :premises (@p4605 @p5809) :args (@t925)) % 0.97/1.17 (step @p5811 :rule cong :premises (@p4632 @p5810) :args (@t926)) % 0.97/1.17 (step @p5812 :rule cong :premises (@p4687 @p5811) :args (@t927)) % 0.97/1.17 (step @p5813 :rule cong :premises (@p4696 @p5812) :args (@t928)) % 0.97/1.17 (step @p5814 :rule refl :args (tptp.emptyinunitempty)) % 0.97/1.17 (step @p5815 :rule cong :premises (@p5814 @p5813) :args (@t929)) % 0.97/1.17 (step @p5816 :rule cong :premises (@p4717 @p5815) :args (@t930)) % 0.97/1.17 (step @p5817 :rule cong :premises (@p4757 @p5816) :args (@t931)) % 0.97/1.17 (step @p5818 :rule cong :premises (@p4803 @p5817) :args (@t932)) % 0.97/1.17 (step @p5819 :rule cong :premises (@p4817 @p5818) :args (@t933)) % 0.97/1.17 (step @p5820 :rule cong :premises (@p4850 @p5819) :args (@t934)) % 0.97/1.17 (step @p5821 :rule cong :premises (@p4855 @p5820) :args (@t935)) % 0.97/1.17 (step @p5822 :rule cong :premises (@p4868 @p5821) :args (@t936)) % 0.97/1.17 (step @p5823 :rule cong :premises (@p4883 @p5822) :args (@t937)) % 0.97/1.17 (step @p5824 :rule cong :premises (@p4915 @p5823) :args (@t938)) % 0.97/1.17 (step @p5825 :rule cong :premises (@p4924 @p5824) :args (@t939)) % 0.97/1.17 (step @p5826 :rule cong :premises (@p4935 @p5825) :args (@t940)) % 0.97/1.17 (step @p5827 :rule cong :premises (@p4950 @p5826) :args (@t941)) % 0.97/1.17 (step @p5828 :rule cong :premises (@p4986 @p5827) :args (@t942)) % 0.97/1.17 (step @p5829 :rule cong :premises (@p4995 @p5828) :args (@t943)) % 0.97/1.17 (step @p5830 :rule cong :premises (@p5014 @p5829) :args (@t944)) % 0.97/1.17 (step @p5831 :rule cong :premises (@p5026 @p5830) :args (@t945)) % 0.97/1.17 (step @p5832 :rule cong :premises (@p5043 @p5831) :args (@t946)) % 0.97/1.17 (step @p5833 :rule cong :premises (@p5094 @p5832) :args (@t947)) % 0.97/1.17 (step @p5834 :rule cong :premises (@p5365 @p5833) :args (@t948)) % 0.97/1.17 (step @p5835 :rule cong :premises (@p5410 @p5834) :args (@t949)) % 0.97/1.17 (step @p5836 :rule cong :premises (@p5503 @p5835) :args (@t950)) % 0.97/1.17 (step @p5837 :rule cong :premises (@p5589 @p5836) :args (@t951)) % 0.97/1.17 (step @p5838 :rule cong :premises (@p5609 @p5837) :args (@t952)) % 0.97/1.17 (step @p5839 :rule refl :args (tptp.omega0Ax)) % 0.97/1.17 (step @p5840 :rule cong :premises (@p5839 @p5838) :args (@t953)) % 0.97/1.17 (step @p5841 :rule cong :premises (@p5625 @p5840) :args (@t954)) % 0.97/1.17 (step @p5842 :rule cong :premises (@p5638 @p5841) :args (@t955)) % 0.97/1.17 (step @p5843 :rule cong :premises (@p5648 @p5842) :args (@t956)) % 0.97/1.17 (step @p5844 :rule cong :premises (@p5652 @p5843) :args (@t957)) % 0.97/1.17 (step @p5845 :rule cong :premises (@p5663 @p5844) :args (@t958)) % 0.97/1.17 (step @p5846 :rule cong :premises (@p5845) :args (@t959)) % 0.97/1.17 (step @p5847 :rule trans :premises (@p5846 @p5668 @p302)) % 0.97/1.17 (step @p5848 :rule eq_resolve :premises (@p169 @p5847)) % 0.97/1.17 (step @p5849 :rule not_implies_elim2 :premises (@p5848)) % 0.97/1.17 (step @p5850 :rule not_implies_elim2 :premises (@p5849)) % 0.97/1.17 (step @p5851 :rule not_implies_elim2 :premises (@p5850)) % 0.97/1.17 (step @p5852 :rule not_implies_elim2 :premises (@p5851)) % 0.97/1.17 (step @p5853 :rule not_implies_elim2 :premises (@p5852)) % 0.97/1.17 (step @p5854 :rule not_implies_elim2 :premises (@p5853)) % 0.97/1.17 (step @p5855 :rule not_implies_elim2 :premises (@p5854)) % 0.97/1.17 (step @p5856 :rule not_implies_elim2 :premises (@p5855)) % 0.97/1.17 (step @p5857 :rule not_implies_elim2 :premises (@p5856)) % 0.97/1.17 (step @p5858 :rule not_implies_elim2 :premises (@p5857)) % 0.97/1.17 (step @p5859 :rule not_implies_elim2 :premises (@p5858)) % 0.97/1.17 (step @p5860 :rule not_implies_elim2 :premises (@p5859)) % 0.97/1.17 (step @p5861 :rule not_implies_elim2 :premises (@p5860)) % 0.97/1.17 (step @p5862 :rule not_implies_elim2 :premises (@p5861)) % 0.97/1.17 (step @p5863 :rule not_implies_elim2 :premises (@p5862)) % 0.97/1.17 (step @p5864 :rule not_implies_elim2 :premises (@p5863)) % 0.97/1.17 (step @p5865 :rule not_implies_elim2 :premises (@p5864)) % 0.97/1.17 (step @p5866 :rule not_implies_elim2 :premises (@p5865)) % 0.97/1.17 (step @p5867 :rule not_implies_elim2 :premises (@p5866)) % 0.97/1.17 (step @p5868 :rule not_implies_elim2 :premises (@p5867)) % 0.97/1.17 (step @p5869 :rule not_implies_elim2 :premises (@p5868)) % 0.97/1.17 (step @p5870 :rule not_implies_elim2 :premises (@p5869)) % 0.97/1.17 (step @p5871 :rule not_implies_elim2 :premises (@p5870)) % 0.97/1.17 (step @p5872 :rule not_implies_elim2 :premises (@p5871)) % 0.97/1.17 (step @p5873 :rule not_implies_elim2 :premises (@p5872)) % 0.97/1.17 (step @p5874 :rule not_implies_elim2 :premises (@p5873)) % 0.97/1.17 (step @p5875 :rule not_implies_elim2 :premises (@p5874)) % 0.97/1.17 (step @p5876 :rule not_implies_elim2 :premises (@p5875)) % 0.97/1.17 (step @p5877 :rule not_implies_elim2 :premises (@p5876)) % 0.97/1.17 (step @p5878 :rule not_implies_elim2 :premises (@p5877)) % 0.97/1.17 (step @p5879 :rule not_implies_elim2 :premises (@p5878)) % 0.97/1.17 (step @p5880 :rule not_implies_elim2 :premises (@p5879)) % 0.97/1.17 (step @p5881 :rule not_implies_elim2 :premises (@p5880)) % 0.97/1.17 (step @p5882 :rule not_implies_elim2 :premises (@p5881)) % 0.97/1.17 (step @p5883 :rule not_implies_elim2 :premises (@p5882)) % 0.97/1.17 (step @p5884 :rule not_implies_elim2 :premises (@p5883)) % 0.97/1.17 (step @p5885 :rule not_implies_elim2 :premises (@p5884)) % 0.97/1.17 (step @p5886 :rule not_implies_elim2 :premises (@p5885)) % 0.97/1.17 (step @p5887 :rule not_implies_elim2 :premises (@p5886)) % 0.97/1.17 (step @p5888 :rule not_implies_elim2 :premises (@p5887)) % 0.97/1.17 (step @p5889 :rule not_implies_elim2 :premises (@p5888)) % 0.97/1.17 (step @p5890 :rule not_implies_elim2 :premises (@p5889)) % 0.97/1.17 (step @p5891 :rule not_implies_elim2 :premises (@p5890)) % 0.97/1.17 (step @p5892 :rule not_implies_elim2 :premises (@p5891)) % 0.97/1.17 (step @p5893 :rule not_implies_elim2 :premises (@p5892)) % 0.97/1.17 (step @p5894 :rule not_implies_elim2 :premises (@p5893)) % 0.97/1.17 (step @p5895 :rule not_implies_elim2 :premises (@p5894)) % 0.97/1.17 (step @p5896 :rule not_implies_elim2 :premises (@p5895)) % 0.97/1.17 (step @p5897 :rule not_implies_elim2 :premises (@p5896)) % 0.97/1.17 (step @p5898 :rule not_implies_elim2 :premises (@p5897)) % 0.97/1.17 (step @p5899 :rule not_implies_elim2 :premises (@p5898)) % 0.97/1.17 (step @p5900 :rule not_implies_elim2 :premises (@p5899)) % 0.97/1.17 (step @p5901 :rule not_implies_elim2 :premises (@p5900)) % 0.97/1.17 (step @p5902 :rule not_implies_elim2 :premises (@p5901)) % 0.97/1.17 (step @p5903 :rule not_implies_elim2 :premises (@p5902)) % 0.97/1.17 (step @p5904 :rule not_implies_elim2 :premises (@p5903)) % 0.97/1.17 (step @p5905 :rule not_implies_elim2 :premises (@p5904)) % 0.97/1.17 (step @p5906 :rule not_implies_elim2 :premises (@p5905)) % 0.97/1.17 (step @p5907 :rule not_implies_elim2 :premises (@p5906)) % 0.97/1.17 (step @p5908 :rule not_implies_elim2 :premises (@p5907)) % 0.97/1.17 (step @p5909 :rule not_implies_elim2 :premises (@p5908)) % 0.97/1.17 (step @p5910 :rule not_implies_elim2 :premises (@p5909)) % 0.97/1.17 (step @p5911 :rule not_implies_elim2 :premises (@p5910)) % 0.97/1.17 (step @p5912 :rule not_implies_elim2 :premises (@p5911)) % 0.97/1.17 (step @p5913 :rule not_implies_elim2 :premises (@p5912)) % 0.97/1.17 (step @p5914 :rule not_implies_elim2 :premises (@p5913)) % 0.97/1.17 (step @p5915 :rule not_implies_elim2 :premises (@p5914)) % 0.97/1.17 (step @p5916 :rule not_implies_elim2 :premises (@p5915)) % 0.97/1.17 (step @p5917 :rule not_implies_elim2 :premises (@p5916)) % 0.97/1.17 (step @p5918 :rule not_implies_elim2 :premises (@p5917)) % 0.97/1.17 (step @p5919 :rule not_implies_elim2 :premises (@p5918)) % 0.97/1.17 (step @p5920 :rule not_implies_elim2 :premises (@p5919)) % 0.97/1.17 (step @p5921 :rule not_implies_elim2 :premises (@p5920)) % 0.97/1.17 (step @p5922 :rule not_implies_elim2 :premises (@p5921)) % 0.97/1.17 (step @p5923 :rule not_implies_elim2 :premises (@p5922)) % 0.97/1.17 (step @p5924 :rule not_implies_elim2 :premises (@p5923)) % 0.97/1.17 (step @p5925 :rule not_implies_elim2 :premises (@p5924)) % 0.97/1.17 (step @p5926 :rule not_implies_elim2 :premises (@p5925)) % 0.97/1.17 (step @p5927 :rule not_implies_elim2 :premises (@p5926)) % 0.97/1.17 (step @p5928 :rule not_implies_elim2 :premises (@p5927)) % 0.97/1.17 (step @p5929 :rule not_implies_elim2 :premises (@p5928)) % 0.97/1.17 (step @p5930 :rule not_implies_elim2 :premises (@p5929)) % 0.97/1.17 (step @p5931 :rule not_implies_elim2 :premises (@p5930)) % 0.97/1.17 (step @p5932 :rule not_implies_elim2 :premises (@p5931)) % 0.97/1.17 (step @p5933 :rule not_implies_elim2 :premises (@p5932)) % 0.97/1.17 (step @p5934 :rule not_implies_elim2 :premises (@p5933)) % 0.97/1.17 (step @p5935 :rule not_implies_elim2 :premises (@p5934)) % 0.97/1.17 (step @p5936 :rule not_implies_elim2 :premises (@p5935)) % 0.97/1.17 (step @p5937 :rule not_implies_elim2 :premises (@p5936)) % 0.97/1.17 (step @p5938 :rule not_implies_elim2 :premises (@p5937)) % 0.97/1.17 (step @p5939 :rule not_implies_elim2 :premises (@p5938)) % 0.97/1.17 (step @p5940 :rule not_implies_elim2 :premises (@p5939)) % 0.97/1.17 (step @p5941 :rule not_implies_elim2 :premises (@p5940)) % 0.97/1.17 (step @p5942 :rule not_implies_elim2 :premises (@p5941)) % 0.97/1.17 (step @p5943 :rule not_implies_elim2 :premises (@p5942)) % 0.97/1.17 (step @p5944 :rule not_implies_elim2 :premises (@p5943)) % 0.97/1.17 (step @p5945 :rule not_implies_elim2 :premises (@p5944)) % 0.97/1.17 (step @p5946 :rule not_implies_elim2 :premises (@p5945)) % 0.97/1.17 (step @p5947 :rule not_implies_elim2 :premises (@p5946)) % 0.97/1.17 (step @p5948 :rule not_implies_elim2 :premises (@p5947)) % 0.97/1.17 (step @p5949 :rule not_implies_elim2 :premises (@p5948)) % 0.97/1.17 (step @p5950 :rule not_implies_elim2 :premises (@p5949)) % 0.97/1.17 (step @p5951 :rule not_implies_elim2 :premises (@p5950)) % 0.97/1.17 (step @p5952 :rule not_implies_elim2 :premises (@p5951)) % 0.97/1.17 (step @p5953 :rule not_implies_elim2 :premises (@p5952)) % 0.97/1.17 (step @p5954 :rule not_implies_elim2 :premises (@p5953)) % 0.97/1.17 (step @p5955 :rule not_implies_elim2 :premises (@p5954)) % 0.97/1.17 (step @p5956 :rule not_implies_elim2 :premises (@p5955)) % 0.97/1.17 (step @p5957 :rule not_implies_elim2 :premises (@p5956)) % 0.97/1.17 (step @p5958 :rule not_implies_elim2 :premises (@p5957)) % 0.97/1.17 (step @p5959 :rule not_implies_elim2 :premises (@p5958)) % 0.97/1.17 (step @p5960 :rule not_implies_elim2 :premises (@p5959)) % 0.97/1.17 (step @p5961 :rule not_implies_elim2 :premises (@p5960)) % 0.97/1.17 (step @p5962 :rule not_implies_elim2 :premises (@p5961)) % 0.97/1.17 (step @p5963 :rule not_implies_elim2 :premises (@p5962)) % 0.97/1.17 (step @p5964 :rule not_implies_elim2 :premises (@p5963)) % 0.97/1.17 (step @p5965 :rule not_implies_elim2 :premises (@p5964)) % 0.97/1.17 (step @p5966 :rule not_implies_elim2 :premises (@p5965)) % 0.97/1.17 (step @p5967 :rule not_implies_elim2 :premises (@p5966)) % 0.97/1.17 (step @p5968 :rule not_implies_elim2 :premises (@p5967)) % 0.97/1.17 (step @p5969 :rule not_implies_elim2 :premises (@p5968)) % 0.97/1.17 (step @p5970 :rule not_implies_elim2 :premises (@p5969)) % 0.97/1.17 (step @p5971 :rule not_implies_elim2 :premises (@p5970)) % 0.97/1.17 (step @p5972 :rule not_implies_elim2 :premises (@p5971)) % 0.97/1.17 (step @p5973 :rule not_implies_elim2 :premises (@p5972)) % 0.97/1.17 (step @p5974 :rule not_implies_elim2 :premises (@p5973)) % 0.97/1.17 (step @p5975 :rule not_implies_elim2 :premises (@p5974)) % 0.97/1.17 (step @p5976 :rule not_implies_elim2 :premises (@p5975)) % 0.97/1.17 (step @p5977 :rule not_implies_elim2 :premises (@p5976)) % 0.97/1.17 (step @p5978 :rule not_implies_elim2 :premises (@p5977)) % 0.97/1.17 (step @p5979 :rule not_implies_elim2 :premises (@p5978)) % 0.97/1.17 (step @p5980 :rule not_implies_elim2 :premises (@p5979)) % 0.97/1.17 (step @p5981 :rule not_implies_elim2 :premises (@p5980)) % 0.97/1.17 (step @p5982 :rule not_implies_elim2 :premises (@p5981)) % 0.97/1.17 (step @p5983 :rule not_implies_elim2 :premises (@p5982)) % 0.97/1.17 (step @p5984 :rule not_implies_elim2 :premises (@p5983)) % 0.97/1.17 (step @p5985 :rule not_implies_elim2 :premises (@p5984)) % 0.97/1.17 (step @p5986 :rule not_implies_elim2 :premises (@p5985)) % 0.97/1.17 (step @p5987 :rule not_implies_elim2 :premises (@p5986)) % 0.97/1.17 (step @p5988 :rule not_implies_elim2 :premises (@p5987)) % 0.97/1.17 (step @p5989 :rule not_implies_elim2 :premises (@p5988)) % 0.97/1.17 (step @p5990 :rule not_implies_elim2 :premises (@p5989)) % 0.97/1.17 (step @p5991 :rule not_implies_elim2 :premises (@p5990)) % 0.97/1.17 (step @p5992 :rule not_implies_elim2 :premises (@p5991)) % 0.97/1.17 (step @p5993 :rule not_implies_elim2 :premises (@p5992)) % 0.97/1.17 (step @p5994 :rule not_implies_elim2 :premises (@p5993)) % 0.97/1.17 (step @p5995 :rule not_implies_elim2 :premises (@p5994)) % 0.97/1.17 (step @p5996 :rule not_implies_elim2 :premises (@p5995)) % 0.97/1.17 (step @p5997 :rule not_implies_elim2 :premises (@p5996)) % 0.97/1.17 (step @p5998 :rule not_implies_elim2 :premises (@p5997)) % 0.97/1.17 (step @p5999 :rule not_implies_elim2 :premises (@p5998)) % 0.97/1.17 (step @p6000 :rule not_implies_elim2 :premises (@p5999)) % 0.97/1.17 (step @p6001 :rule skolemize :premises (@p6000)) % 0.97/1.17 (step @p6002 :rule cnf_or_neg :args (@t2839 1)) % 0.97/1.17 (step @p6003 :rule chain_m_resolution :premises (@p6002 @p6001) :args (@t2840 @t2841 @t2842)) % 0.97/1.17 (step @p6004 :rule not_implies_elim1 :premises (@p5894)) % 0.97/1.17 (step @p6005 :rule eq-symm :args (@t2834 @t2831)) % 0.97/1.17 (step @p6006 :rule refl :args (@t2845)) % 0.97/1.17 (step @p6007 :rule nary_cong :premises (@p6006 @p6005 @p6005) :args (@t2847)) % 0.97/1.17 (step @p6008 :rule cong :premises (@p194 @p6007) :args ((=> @t1116 @t2847))) % 0.97/1.17 (assume-push @p6081 @t1116) % 0.97/1.17 (step @p6010 :rule instantiate :premises (@p6004) :args ((@list @t2834 @t2834 @t2831))) % 0.97/1.17 (step-pop @p6082 :rule scope :premises (@p6010)) % 0.97/1.17 (step @p6011 :rule process_scope :premises (@p6082) :args (@t2847)) % 0.97/1.17 (step @p6013 :rule eq_resolve :premises (@p6011 @p6008)) % 0.97/1.17 (step @p6014 :rule implies_elim :premises (@p6013)) % 0.97/1.17 (step @p6015 :rule chain_m_resolution :premises (@p6014 @p6004) :args (@t2849 @t2850 @t2851)) % 0.97/1.17 (step @p6016 :rule not_implies_elim1 :premises (@p5896)) % 0.97/1.17 (step @p6017 :rule instantiate :premises (@p6016) :args ((@list @t2832 @t2831))) % 0.97/1.17 (step @p6018 :rule true_intro :premises (@p6017)) % 0.97/1.17 (step @p6019 :rule bool-double-not-elim :args (@t2837)) % 0.97/1.17 (step @p6020 :rule refl :args (@t2839)) % 0.97/1.17 (step @p6021 :rule nary_cong :premises (@p6020 @p6019) :args ((or @t2839 (not @t2838)))) % 0.97/1.17 (step @p6022 :rule cnf_or_neg :args (@t2839 0)) % 0.97/1.17 (step @p6023 :rule eq_resolve :premises (@p6022 @p6021)) % 0.97/1.17 (step @p6024 :rule reordering :premises (@p6023) :args ((or @t2837 @t2839))) % 0.97/1.17 (step @p6025 :rule chain_m_resolution :premises (@p6024 @p6001) :args (@t2837 @t2841 @t2842)) % 0.97/1.17 (step @p6026 :rule symm :premises (@p6025)) % 0.97/1.17 (step @p6027 :rule not_implies_elim1 :premises (@p5997)) % 0.97/1.17 (step @p6028 :rule instantiate :premises (@p6027) :args ((@list @t2834))) % 0.97/1.17 (step @p6029 :rule symm :premises (@p6028)) % 0.97/1.17 (step @p6030 :rule trans :premises (@p6029 @p6026)) % 0.97/1.17 (step @p6031 :rule refl :args (@t2831)) % 0.97/1.17 (step @p6032 :rule cong :premises (@p6031 @p6030) :args (@t2844)) % 0.97/1.17 (step @p6033 :rule trans :premises (@p6032 @p6018)) % 0.97/1.17 (step @p6034 :rule true_elim :premises (@p6033)) % 0.97/1.17 (step @p6035 :rule cnf_or_pos :args (@t2849)) % 0.97/1.17 (step @p6036 :rule factoring :premises (@p6035)) % 0.97/1.17 (step @p6037 :rule reordering :premises (@p6036) :args ((or @t2848 @t2845 (not @t2849)))) % 0.97/1.17 (step @p6038 :rule chain_m_resolution :premises (@p6037 @p6034 @p6015) :args (@t2848 @t2852 (@list @t2844 @t2849))) % 0.97/1.17 (step @p6039 :rule eq-symm :args (@t2834 @t2832)) % 0.97/1.17 (step @p6040 :rule refl :args (@t2854)) % 0.97/1.17 (step @p6041 :rule nary_cong :premises (@p6040 @p6039 @p6039) :args (@t2856)) % 0.97/1.17 (step @p6042 :rule cong :premises (@p194 @p6041) :args ((=> @t1116 @t2856))) % 0.97/1.17 (assume-push @p6083 @t1116) % 0.97/1.17 (step @p6044 :rule instantiate :premises (@p6004) :args ((@list @t2834 @t2834 @t2832))) % 0.97/1.17 (step-pop @p6084 :rule scope :premises (@p6044)) % 0.97/1.17 (step @p6045 :rule process_scope :premises (@p6084) :args (@t2856)) % 0.97/1.17 (step @p6047 :rule eq_resolve :premises (@p6045 @p6042)) % 0.97/1.17 (step @p6048 :rule implies_elim :premises (@p6047)) % 0.97/1.17 (step @p6049 :rule chain_m_resolution :premises (@p6048 @p6004) :args (@t2858 @t2850 @t2851)) % 0.97/1.17 (step @p6050 :rule not_implies_elim1 :premises (@p5875)) % 0.97/1.17 (step @p6051 :rule instantiate :premises (@p6050) :args ((@list @t2832 @t2836))) % 0.97/1.17 (step @p6052 :rule true_intro :premises (@p6051)) % 0.97/1.17 (step @p6053 :rule refl :args (@t2832)) % 0.97/1.17 (step @p6054 :rule cong :premises (@p6053 @p6030) :args (@t2853)) % 0.97/1.17 (step @p6055 :rule trans :premises (@p6054 @p6052)) % 0.97/1.17 (step @p6056 :rule true_elim :premises (@p6055)) % 0.97/1.17 (step @p6057 :rule cnf_or_pos :args (@t2858)) % 0.97/1.17 (step @p6058 :rule factoring :premises (@p6057)) % 0.97/1.17 (step @p6059 :rule reordering :premises (@p6058) :args ((or @t2857 @t2854 (not @t2858)))) % 0.97/1.17 (step @p6060 :rule chain_m_resolution :premises (@p6059 @p6056 @p6049) :args (@t2857 @t2852 (@list @t2853 @t2858))) % 0.97/1.17 (step @p6061 :rule refl :args (@t2859)) % 0.97/1.17 (step @p6062 :rule refl :args (@t2860)) % 0.97/1.17 (step @p6063 :rule bool-double-not-elim :args (@t2833)) % 0.97/1.17 (step @p6064 :rule nary_cong :premises (@p6063 @p6062 @p6061) :args ((or (not @t2840) @t2860 @t2859))) % 0.97/1.17 (assume-push @p6085 @t2840) % 0.97/1.17 (assume-push @p6086 @t2848) % 0.97/1.17 (step @p6067 :rule false_intro :premises (@p6003)) % 0.97/1.17 (step @p6068 :rule symm :premises (@p6038)) % 0.97/1.17 (step @p6069 :rule cong :premises (@p6053 @p6068) :args (@t2857)) % 0.97/1.17 (step @p6070 :rule trans :premises (@p6069 @p6067)) % 0.97/1.17 (step @p6071 :rule false_elim :premises (@p6070)) % 0.97/1.17 (step-pop @p6087 :rule scope :premises (@p6071)) % 0.97/1.17 (step-pop @p6088 :rule scope :premises (@p6087)) % 0.97/1.17 (step @p6072 :rule process_scope :premises (@p6088) :args (@t2859)) % 0.97/1.17 (step @p6075 :rule implies_elim :premises (@p6072)) % 0.97/1.17 (step @p6076 :rule cnf_and_neg :args (@t2861)) % 0.97/1.17 (step @p6077 :rule resolution :premises (@p6076 @p6075) :args (true @t2861)) % 0.97/1.17 (step @p6078 :rule eq_resolve :premises (@p6077 @p6064)) % 0.97/1.17 (step @p6079 :rule reordering :premises (@p6078) :args ((or @t2833 @t2859 @t2860))) % 0.97/1.17 (step @p6080 false :rule chain_m_resolution :premises (@p6079 @p6060 @p6038 @p6003) :args (false (@list false false true) (@list @t2857 @t2848 @t2833))) % 0.97/1.17 ) % 0.97/1.17 % SZS output end Proof % 0.97/1.17 % cvc5 exiting %------------------------------------------------------------------------------