%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU631^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:52:29 AM UTC 2026 % Result : Theorem 1.03s 1.23s % Output : Proof 1.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU631^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n017.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:42:31 EDT 2026 % 0.15/0.34 % CPUTime : % 0.35/0.55 %----Proving TH0 % 1.03/1.23 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.03/1.23 % SZS status Theorem % 1.03/1.23 % SZS output start Proof % 1.03/1.23 ( % 1.03/1.23 (declare-sort $$unsorted 0) % 1.03/1.23 (declare-const tptp.emptyset $$unsorted) % 1.03/1.23 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.23 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 1.03/1.23 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.03/1.23 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.23 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.03/1.23 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 1.03/1.23 (declare-const tptp.ubforcartprodlem3 Bool) % 1.03/1.23 (declare-const tptp.ubforcartprodlem1 Bool) % 1.03/1.23 (declare-const tptp.upairinpowunion Bool) % 1.03/1.23 (declare-const tptp.upairsubunion Bool) % 1.03/1.23 (declare-const tptp.upairset2E Bool) % 1.03/1.23 (declare-const tptp.singletoninpowunion Bool) % 1.03/1.23 (declare-const tptp.singletoninpowerset Bool) % 1.03/1.23 (declare-const tptp.singletonsubset Bool) % 1.03/1.23 (declare-const tptp.kpairp Bool) % 1.03/1.23 (declare-const tptp.secondinupair Bool) % 1.03/1.23 (declare-const tptp.symdiffIneg2 Bool) % 1.03/1.23 (declare-const tptp.symdiffI2 Bool) % 1.03/1.23 (declare-const tptp.symdiffI1 Bool) % 1.03/1.23 (declare-const tptp.setminusIRneg Bool) % 1.03/1.23 (declare-const tptp.setminusILneg Bool) % 1.03/1.23 (declare-const tptp.setminusERneg Bool) % 1.03/1.23 (declare-const tptp.quantDeMorgan1 Bool) % 1.03/1.23 (declare-const tptp.sepSubset Bool) % 1.03/1.23 (declare-const tptp.emptyE1 Bool) % 1.03/1.23 (declare-const tptp.inPowerset Bool) % 1.03/1.23 (declare-const tptp.upairsetIR Bool) % 1.03/1.23 (declare-const tptp.setunion__Cong Bool) % 1.03/1.23 (declare-const tptp.powersetE1 Bool) % 1.03/1.23 (declare-const tptp.singletonsswitch Bool) % 1.03/1.23 (declare-const tptp.cartprodpairin Bool) % 1.03/1.23 (declare-const tptp.subset2powerset Bool) % 1.03/1.23 (declare-const tptp.notinsingleton Bool) % 1.03/1.23 (declare-const tptp.subPowSU Bool) % 1.03/1.23 (declare-const tptp.binintersectSubset5 Bool) % 1.03/1.23 (declare-const tptp.exuE1 Bool) % 1.03/1.23 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.23 (declare-const tptp.setunionI Bool) % 1.03/1.23 (declare-const tptp.notdexE Bool) % 1.03/1.23 (declare-const tptp.powersetE Bool) % 1.03/1.23 (declare-const tptp.omegaSAx Bool) % 1.03/1.23 (declare-const tptp.setadjoinE Bool) % 1.03/1.23 (declare-const tptp.emptyinunitempty Bool) % 1.03/1.23 (declare-const tptp.setminusEL Bool) % 1.03/1.23 (declare-const tptp.descr__Cong Bool) % 1.03/1.23 (declare-const tptp.nonemptyI1 Bool) % 1.03/1.23 (declare-const tptp.emptysetAx Bool) % 1.03/1.23 (declare-const tptp.nonemptyI Bool) % 1.03/1.23 (declare-const tptp.upairsetIL Bool) % 1.03/1.23 (declare-const tptp.powersetI1 Bool) % 1.03/1.23 (declare-const tptp.eqinunit Bool) % 1.03/1.23 (declare-const tptp.upairsetE Bool) % 1.03/1.23 (declare-const tptp.replAx Bool) % 1.03/1.23 (declare-const tptp.powersetI Bool) % 1.03/1.23 (declare-const tptp.setukpairIR Bool) % 1.03/1.23 (declare-const tptp.quantDeMorgan4 Bool) % 1.03/1.23 (declare-const tptp.setunionE Bool) % 1.03/1.23 (declare-const tptp.omegaIndAx Bool) % 1.03/1.23 (declare-const tptp.setunionAx Bool) % 1.03/1.23 (declare-const tptp.setoftrueEq Bool) % 1.03/1.23 (declare-const tptp.foundationAx Bool) % 1.03/1.23 (declare-const tptp.emptysetimpfalse Bool) % 1.03/1.23 (declare-const tptp.setminusELneg Bool) % 1.03/1.23 (declare-const tptp.powersetAx Bool) % 1.03/1.23 (declare-const tptp.subsetemptysetimpeq Bool) % 1.03/1.23 (declare-const tptp.setminusER Bool) % 1.03/1.23 (declare-const tptp.setadjoinAx Bool) % 1.03/1.23 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.23 (declare-const tptp.omega $$unsorted) % 1.03/1.23 (declare-const tptp.emptyInPowerset Bool) % 1.03/1.23 (declare-const tptp.eqimpsubset1 Bool) % 1.03/1.23 (declare-const tptp.binunionE Bool) % 1.03/1.23 (declare-const tptp.dsetconstrER Bool) % 1.03/1.23 (declare-const tptp.notdallE Bool) % 1.03/1.23 (declare-const tptp.binunionRsub Bool) % 1.03/1.23 (declare-const tptp.exuE2 Bool) % 1.03/1.23 (declare-const tptp.setminusSubset2 Bool) % 1.03/1.23 (declare-const tptp.dsetconstr__Cong Bool) % 1.03/1.23 (declare-const tptp.setadjoinIR Bool) % 1.03/1.23 (declare-const tptp.notinemptyset Bool) % 1.03/1.23 (declare-const tptp.subsetRefl Bool) % 1.03/1.23 (declare-const tptp.ubforcartprodlem2 Bool) % 1.03/1.23 (declare-const tptp.uniqinunit Bool) % 1.03/1.23 (declare-const tptp.exuE3u Bool) % 1.03/1.23 (declare-const tptp.subsetTrans Bool) % 1.03/1.23 (declare-const tptp.wellorderingAx Bool) % 1.03/1.23 (declare-const tptp.setukpairIL Bool) % 1.03/1.23 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 1.03/1.23 (declare-const tptp.vacuousDall Bool) % 1.03/1.23 (declare-const tptp.sepInPowerset Bool) % 1.03/1.23 (declare-const tptp.nonemptyImpWitness Bool) % 1.03/1.23 (declare-const tptp.binintersectLsub Bool) % 1.03/1.23 (declare-const tptp.setadjoinOr Bool) % 1.03/1.23 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.03/1.23 (declare-const tptp.upairset2IR Bool) % 1.03/1.23 (declare-const tptp.dsetconstrI Bool) % 1.03/1.23 (declare-const tptp.setminusSubset1 Bool) % 1.03/1.23 (declare-const tptp.emptyinPowerset Bool) % 1.03/1.23 (declare-const tptp.kpairiskpair Bool) % 1.03/1.23 (declare-const tptp.prop2setI Bool) % 1.03/1.23 (declare-const tptp.dsetconstrEL Bool) % 1.03/1.23 (declare-const tptp.prop2set2propI Bool) % 1.03/1.23 (declare-const tptp.binunionLsub Bool) % 1.03/1.23 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 1.03/1.23 (declare-const tptp.exuI2 Bool) % 1.03/1.23 (declare-const tptp.prop2setE Bool) % 1.03/1.23 (declare-const tptp.exuEu Bool) % 1.03/1.23 (declare-const tptp.setadjoinIL Bool) % 1.03/1.23 (declare-const tptp.omega__Cong Bool) % 1.03/1.23 (declare-const tptp.setminusI Bool) % 1.03/1.23 (declare-const tptp.emptysetE Bool) % 1.03/1.23 (declare-const tptp.symdiffIneg1 Bool) % 1.03/1.23 (declare-const tptp.notequalI1 Bool) % 1.03/1.23 (declare-const tptp.emptyI Bool) % 1.03/1.23 (declare-const tptp.quantDeMorgan2 Bool) % 1.03/1.23 (declare-const tptp.noeltsimpempty Bool) % 1.03/1.23 (declare-const tptp.subsetI1 Bool) % 1.03/1.23 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 1.03/1.23 (declare-const tptp.subsetE Bool) % 1.03/1.23 (declare-const tptp.exuI3 Bool) % 1.03/1.23 (declare-const tptp.subsetE2 Bool) % 1.03/1.23 (declare-const tptp.inCongP Bool) % 1.03/1.23 (declare-const tptp.in__Cong Bool) % 1.03/1.23 (declare-const tptp.exu__Cong Bool) % 1.03/1.23 (declare-const tptp.exuE3e Bool) % 1.03/1.23 (declare-const tptp.binintersectSubset3 Bool) % 1.03/1.23 (declare-const tptp.setadjoin__Cong Bool) % 1.03/1.23 (declare-const tptp.emptyset__Cong Bool) % 1.03/1.23 (declare-const tptp.binintersectRsub Bool) % 1.03/1.23 (declare-const tptp.nonemptyE1 Bool) % 1.03/1.23 (declare-const tptp.setextAx Bool) % 1.03/1.23 (declare-const tptp.powerset__Cong Bool) % 1.03/1.23 (declare-const tptp.bs114d Bool) % 1.03/1.23 (declare-const tptp.setminusLsub Bool) % 1.03/1.23 (declare-const tptp.eqimpsubset2 Bool) % 1.03/1.23 (declare-const tptp.symdiffE Bool) % 1.03/1.23 (declare-const tptp.omega0Ax Bool) % 1.03/1.23 (declare-const tptp.subsetI2 Bool) % 1.03/1.23 (declare-const tptp.emptysetsubset Bool) % 1.03/1.23 (declare-const tptp.notsubsetI Bool) % 1.03/1.23 (declare-const tptp.notequalI2 Bool) % 1.03/1.23 (declare-const tptp.setadjoinSub Bool) % 1.03/1.23 (declare-const tptp.setadjoinSub2 Bool) % 1.03/1.23 (declare-const tptp.disjointsetsI1 Bool) % 1.03/1.23 (declare-const tptp.setextsub Bool) % 1.03/1.23 (declare-const tptp.setbeta Bool) % 1.03/1.23 (declare-const tptp.binintersectSubset4 Bool) % 1.03/1.23 (declare-const tptp.powersetsubset Bool) % 1.03/1.23 (declare-const tptp.binunionIL Bool) % 1.03/1.23 (declare-const tptp.binunionIR Bool) % 1.03/1.23 (declare-const tptp.descrp Bool) % 1.03/1.23 (declare-const tptp.quantDeMorgan3 Bool) % 1.03/1.23 (declare-const tptp.binunionEcases Bool) % 1.03/1.23 (declare-const tptp.exuI1 Bool) % 1.03/1.23 (declare-const tptp.binintersectI Bool) % 1.03/1.23 (declare-const tptp.binintersectEL Bool) % 1.03/1.23 (declare-const tptp.binintersectSubset2 Bool) % 1.03/1.23 (declare-const tptp.setext Bool) % 1.03/1.23 (declare-const tptp.binintersectER Bool) % 1.03/1.23 (declare-const tptp.binintersectSubset1 Bool) % 1.03/1.23 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.23 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 1.03/1.23 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 1.03/1.23 (define tptp.iskpair () (let ((_let_1 (@var "Xy" $$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)))))))))))))) % 1.03/1.23 (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))))))) % 1.03/1.23 (define tptp.cartprod () (let ((_let_1 (@var "Xz" $$unsorted))) (let ((_let_2 (@var "Xy" $$unsorted))) (let ((_let_3 (@var "Xx" $$unsorted))) (let ((_let_4 (@var "B" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5 _let_4) (_ (_ tptp.dsetconstr (_ tptp.powerset (_ tptp.powerset (_ (_ tptp.binunion _let_5) _let_4)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_5) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_4) (= _let_3 (_ (_ tptp.kpair _let_2) _let_1))))))))))))))) % 1.03/1.23 (define @t1 () (@var "B" $$unsorted)) % 1.03/1.23 (define @t2 () (@var "A" $$unsorted)) % 1.03/1.23 (define @t3 () (= @t2 @t1)) % 1.03/1.23 (define @t4 () (@var "Xx" $$unsorted)) % 1.03/1.23 (define @t5 () (_ tptp.in @t4)) % 1.03/1.23 (define @t6 () (_ @t5 @t1)) % 1.03/1.23 (define @t7 () (_ @t5 @t2)) % 1.03/1.23 (define @t8 () (= @t7 @t6)) % 1.03/1.23 (define @t9 () (@list @t4)) % 1.03/1.23 (define @t10 () (forall @t9 @t8)) % 1.03/1.23 (define @t11 () (=> @t10 @t3)) % 1.03/1.23 (define @t12 () (@list @t2 @t1)) % 1.03/1.23 (define @t13 () (forall @t12 @t11)) % 1.03/1.23 (define @t14 () (= tptp.setextAx @t13)) % 1.03/1.23 (define @t15 () (_ @t5 tptp.emptyset)) % 1.03/1.23 (define @t16 () (not @t15)) % 1.03/1.23 (define @t17 () (forall @t9 @t16)) % 1.03/1.23 (define @t18 () (= tptp.emptysetAx @t17)) % 1.03/1.23 (define @t19 () (@var "Xy" $$unsorted)) % 1.03/1.23 (define @t20 () (_ tptp.in @t19)) % 1.03/1.23 (define @t21 () (_ @t20 @t2)) % 1.03/1.23 (define @t22 () (= @t19 @t4)) % 1.03/1.23 (define @t23 () (or @t22 @t21)) % 1.03/1.23 (define @t24 () (_ tptp.setadjoin @t4)) % 1.03/1.23 (define @t25 () (_ @t24 @t2)) % 1.03/1.23 (define @t26 () (_ @t20 @t25)) % 1.03/1.23 (define @t27 () (= @t26 @t23)) % 1.03/1.23 (define @t28 () (@list @t4 @t2 @t19)) % 1.03/1.23 (define @t29 () (forall @t28 @t27)) % 1.03/1.23 (define @t30 () (= tptp.setadjoinAx @t29)) % 1.03/1.23 (define @t31 () (=> @t6 @t7)) % 1.03/1.23 (define @t32 () (forall @t9 @t31)) % 1.03/1.23 (define @t33 () (_ tptp.powerset @t2)) % 1.03/1.23 (define @t34 () (_ tptp.in @t1)) % 1.03/1.23 (define @t35 () (_ @t34 @t33)) % 1.03/1.23 (define @t36 () (= @t35 @t32)) % 1.03/1.23 (define @t37 () (forall @t12 @t36)) % 1.03/1.23 (define @t38 () (= tptp.powersetAx @t37)) % 1.03/1.23 (define @t39 () (_ @t34 @t2)) % 1.03/1.23 (define @t40 () (and @t6 @t39)) % 1.03/1.23 (define @t41 () (@list @t1)) % 1.03/1.23 (define @t42 () (exists @t41 @t40)) % 1.03/1.23 (define @t43 () (_ tptp.setunion @t2)) % 1.03/1.23 (define @t44 () (_ @t5 @t43)) % 1.03/1.23 (define @t45 () (= @t44 @t42)) % 1.03/1.23 (define @t46 () (@list @t2 @t4)) % 1.03/1.23 (define @t47 () (forall @t46 @t45)) % 1.03/1.23 (define @t48 () (= tptp.setunionAx @t47)) % 1.03/1.23 (define @t49 () (_ tptp.in tptp.emptyset)) % 1.03/1.23 (define @t50 () (_ @t49 tptp.omega)) % 1.03/1.23 (define @t51 () (_ @t24 @t4)) % 1.03/1.23 (define @t52 () (_ tptp.in @t51)) % 1.03/1.23 (define @t53 () (_ @t52 tptp.omega)) % 1.03/1.23 (define @t54 () (_ @t5 tptp.omega)) % 1.03/1.23 (define @t55 () (forall @t9 (=> @t54 @t53))) % 1.03/1.23 (define @t56 () (= tptp.omegaSAx @t55)) % 1.03/1.23 (define @t57 () (forall @t9 (=> @t54 @t7))) % 1.03/1.23 (define @t58 () (_ @t52 @t2)) % 1.03/1.23 (define @t59 () (and @t54 @t7)) % 1.03/1.23 (define @t60 () (forall @t9 (=> @t59 @t58))) % 1.03/1.23 (define @t61 () (_ @t49 @t2)) % 1.03/1.23 (define @t62 () (and @t61 @t60)) % 1.03/1.23 (define @t63 () (=> @t62 @t57)) % 1.03/1.23 (define @t64 () (@list @t2)) % 1.03/1.23 (define @t65 () (forall @t64 @t63)) % 1.03/1.23 (define @t66 () (= tptp.omegaIndAx @t65)) % 1.03/1.23 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 1.03/1.23 (define @t68 () (_ (_ @t67 @t19) @t4)) % 1.03/1.23 (define @t69 () (and @t21 @t68)) % 1.03/1.23 (define @t70 () (@list @t19)) % 1.03/1.23 (define @t71 () (exists @t70 @t69)) % 1.03/1.23 (define @t72 () (= @t6 @t71)) % 1.03/1.23 (define @t73 () (forall @t9 @t72)) % 1.03/1.23 (define @t74 () (exists @t41 @t73)) % 1.03/1.23 (define @t75 () (_ @t67 @t4)) % 1.03/1.23 (define @t76 () (_ @t75 @t19)) % 1.03/1.23 (define @t77 () (lambda @t70 @t76)) % 1.03/1.23 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 1.03/1.23 (define @t79 () (forall @t9 @t78)) % 1.03/1.23 (define @t80 () (=> @t79 @t74)) % 1.03/1.23 (define @t81 () (@list @t67 @t2)) % 1.03/1.23 (define @t82 () (forall @t81 @t80)) % 1.03/1.23 (define @t83 () (= tptp.replAx @t82)) % 1.03/1.23 (define @t84 () (and @t6 @t7)) % 1.03/1.23 (define @t85 () (exists @t9 @t84)) % 1.03/1.23 (define @t86 () (not @t85)) % 1.03/1.23 (define @t87 () (and @t39 @t86)) % 1.03/1.23 (define @t88 () (exists @t41 @t87)) % 1.03/1.23 (define @t89 () (exists @t9 @t7)) % 1.03/1.23 (define @t90 () (=> @t89 @t88)) % 1.03/1.23 (define @t91 () (forall @t64 @t90)) % 1.03/1.23 (define @t92 () (= tptp.foundationAx @t91)) % 1.03/1.23 (define @t93 () (@var "E" $$unsorted)) % 1.03/1.23 (define @t94 () (_ @t5 @t93)) % 1.03/1.23 (define @t95 () (@var "D" $$unsorted)) % 1.03/1.23 (define @t96 () (_ @t20 @t95)) % 1.03/1.23 (define @t97 () (_ @t20 @t93)) % 1.03/1.23 (define @t98 () (forall @t70 (=> @t97 @t96))) % 1.03/1.23 (define @t99 () (or @t98 @t94)) % 1.03/1.23 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 1.03/1.23 (define @t101 () (=> @t100 @t99)) % 1.03/1.23 (define @t102 () (@list @t93)) % 1.03/1.23 (define @t103 () (forall @t102 @t101)) % 1.03/1.23 (define @t104 () (@var "C" $$unsorted)) % 1.03/1.23 (define @t105 () (_ @t20 @t104)) % 1.03/1.23 (define @t106 () (and @t96 @t105)) % 1.03/1.23 (define @t107 () (exists @t70 @t106)) % 1.03/1.23 (define @t108 () (not @t107)) % 1.03/1.23 (define @t109 () (_ @t5 @t104)) % 1.03/1.23 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 1.03/1.23 (define @t111 () (and @t110 @t109 @t108 @t103)) % 1.03/1.23 (define @t112 () (@list @t95 @t4)) % 1.03/1.23 (define @t113 () (exists @t112 @t111)) % 1.03/1.23 (define @t114 () (exists @t9 @t109)) % 1.03/1.23 (define @t115 () (forall @t9 (=> @t109 @t7))) % 1.03/1.23 (define @t116 () (and @t115 @t114)) % 1.03/1.23 (define @t117 () (=> @t116 @t113)) % 1.03/1.23 (define @t118 () (@list @t104)) % 1.03/1.23 (define @t119 () (forall @t118 @t117)) % 1.03/1.23 (define @t120 () (_ @t5 @t95)) % 1.03/1.23 (define @t121 () (forall @t9 (=> @t120 @t109))) % 1.03/1.23 (define @t122 () (forall @t9 (=> @t109 @t120))) % 1.03/1.23 (define @t123 () (or @t122 @t121)) % 1.03/1.23 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 1.03/1.23 (define @t125 () (and @t124 @t110)) % 1.03/1.23 (define @t126 () (=> @t125 @t123)) % 1.03/1.23 (define @t127 () (@list @t104 @t95)) % 1.03/1.23 (define @t128 () (forall @t127 @t126)) % 1.03/1.23 (define @t129 () (= @t4 @t19)) % 1.03/1.23 (define @t130 () (= @t109 @t105)) % 1.03/1.23 (define @t131 () (forall @t118 (=> @t124 @t130))) % 1.03/1.23 (define @t132 () (=> @t131 @t129)) % 1.03/1.23 (define @t133 () (and @t7 @t21)) % 1.03/1.23 (define @t134 () (=> @t133 @t132)) % 1.03/1.23 (define @t135 () (@list @t4 @t19)) % 1.03/1.23 (define @t136 () (forall @t135 @t134)) % 1.03/1.23 (define @t137 () (=> @t124 @t115)) % 1.03/1.23 (define @t138 () (forall @t118 @t137)) % 1.03/1.23 (define @t139 () (and @t138 @t136 @t128 @t119)) % 1.03/1.23 (define @t140 () (exists @t41 @t139)) % 1.03/1.23 (define @t141 () (forall @t64 @t140)) % 1.03/1.23 (define @t142 () (= tptp.wellorderingAx @t141)) % 1.03/1.23 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 1.03/1.23 (define @t144 () (_ @t143 @t4)) % 1.03/1.23 (define @t145 () (lambda @t9 @t144)) % 1.03/1.23 (define @t146 () (_ tptp.descr @t145)) % 1.03/1.23 (define @t147 () (_ @t143 @t146)) % 1.03/1.23 (define @t148 () (_ tptp.exu @t145)) % 1.03/1.23 (define @t149 () (=> @t148 @t147)) % 1.03/1.23 (define @t150 () (@list @t143)) % 1.03/1.23 (define @t151 () (forall @t150 @t149)) % 1.03/1.23 (define @t152 () (= tptp.descrp @t151)) % 1.03/1.23 (define @t153 () (_ @t143 @t19)) % 1.03/1.23 (define @t154 () (lambda @t70 @t153)) % 1.03/1.23 (define @t155 () (_ tptp.dsetconstr @t2)) % 1.03/1.23 (define @t156 () (_ @t155 @t154)) % 1.03/1.23 (define @t157 () (_ @t5 @t156)) % 1.03/1.23 (define @t158 () (=> @t144 @t157)) % 1.03/1.23 (define @t159 () (@list @t2 @t143 @t4)) % 1.03/1.23 (define @t160 () (forall @t159 (=> @t7 @t158))) % 1.03/1.23 (define @t161 () (= tptp.dsetconstrI @t160)) % 1.03/1.23 (define @t162 () (forall @t159 (=> @t157 @t7))) % 1.03/1.23 (define @t163 () (= tptp.dsetconstrEL @t162)) % 1.03/1.23 (define @t164 () (forall @t159 (=> @t157 @t144))) % 1.03/1.23 (define @t165 () (= tptp.dsetconstrER @t164)) % 1.03/1.23 (define @t166 () (=> @t153 @t129)) % 1.03/1.23 (define @t167 () (forall @t70 @t166)) % 1.03/1.23 (define @t168 () (and @t144 @t167)) % 1.03/1.23 (define @t169 () (exists @t9 @t168)) % 1.03/1.23 (define @t170 () (=> @t148 @t169)) % 1.03/1.23 (define @t171 () (forall @t150 @t170)) % 1.03/1.23 (define @t172 () (= tptp.exuE1 @t171)) % 1.03/1.23 (define @t173 () (@var "Xphi" Bool)) % 1.03/1.23 (define @t174 () (_ tptp.prop2set @t173)) % 1.03/1.23 (define @t175 () (_ @t5 @t174)) % 1.03/1.23 (define @t176 () (@list @t173 @t4)) % 1.03/1.23 (define @t177 () (forall @t176 (=> @t175 @t173))) % 1.03/1.23 (define @t178 () (= tptp.prop2setE @t177)) % 1.03/1.23 (define @t179 () (@list @t173)) % 1.03/1.23 (define @t180 () (forall @t179 @t173)) % 1.03/1.23 (define @t181 () (=> @t15 @t180)) % 1.03/1.23 (define @t182 () (forall @t9 @t181)) % 1.03/1.23 (define @t183 () (= tptp.emptysetE @t182)) % 1.03/1.23 (define @t184 () (forall @t9 (=> @t15 false))) % 1.03/1.23 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 1.03/1.23 (define @t186 () (exists @t9 @t144)) % 1.03/1.23 (define @t187 () (=> @t148 @t186)) % 1.03/1.23 (define @t188 () (forall @t150 @t187)) % 1.03/1.23 (define @t189 () (= tptp.exuE3e @t188)) % 1.03/1.23 (define @t190 () (=> @t32 @t3)) % 1.03/1.23 (define @t191 () (=> @t7 @t6)) % 1.03/1.23 (define @t192 () (forall @t9 @t191)) % 1.03/1.23 (define @t193 () (=> @t192 @t190)) % 1.03/1.23 (define @t194 () (forall @t12 @t193)) % 1.03/1.23 (define @t195 () (= tptp.setext @t194)) % 1.03/1.23 (define @t196 () (= @t2 tptp.emptyset)) % 1.03/1.23 (define @t197 () (not @t7)) % 1.03/1.23 (define @t198 () (forall @t9 @t197)) % 1.03/1.23 (define @t199 () (=> @t198 @t196)) % 1.03/1.23 (define @t200 () (forall @t64 @t199)) % 1.03/1.23 (define @t201 () (= tptp.emptyI @t200)) % 1.03/1.23 (define @t202 () (=> @t7 (= @t157 @t144))) % 1.03/1.23 (define @t203 () (forall @t159 @t202)) % 1.03/1.23 (define @t204 () (= tptp.setbeta @t203)) % 1.03/1.23 (define @t205 () (_ tptp.nonempty @t2)) % 1.03/1.23 (define @t206 () (=> @t205 @t89)) % 1.03/1.23 (define @t207 () (forall @t64 @t206)) % 1.03/1.23 (define @t208 () (= tptp.nonemptyE1 @t207)) % 1.03/1.23 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 1.03/1.23 (define @t210 () (=> @t7 @t209)) % 1.03/1.23 (define @t211 () (forall @t159 @t210)) % 1.03/1.23 (define @t212 () (= tptp.nonemptyI @t211)) % 1.03/1.23 (define @t213 () (=> @t89 @t205)) % 1.03/1.23 (define @t214 () (forall @t64 @t213)) % 1.03/1.23 (define @t215 () (= tptp.nonemptyI1 @t214)) % 1.03/1.23 (define @t216 () (_ @t24 @t19)) % 1.03/1.23 (define @t217 () (_ @t5 @t216)) % 1.03/1.23 (define @t218 () (forall @t135 @t217)) % 1.03/1.23 (define @t219 () (= tptp.setadjoinIL @t218)) % 1.03/1.23 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 1.03/1.23 (define @t221 () (_ @t49 @t220)) % 1.03/1.23 (define @t222 () (forall @t28 (=> @t21 @t26))) % 1.03/1.23 (define @t223 () (= tptp.setadjoinIR @t222)) % 1.03/1.23 (define @t224 () (=> @t21 @t173)) % 1.03/1.23 (define @t225 () (=> @t224 @t173)) % 1.03/1.23 (define @t226 () (=> @t22 @t173)) % 1.03/1.23 (define @t227 () (=> @t226 @t225)) % 1.03/1.23 (define @t228 () (forall @t179 @t227)) % 1.03/1.23 (define @t229 () (=> @t26 @t228)) % 1.03/1.23 (define @t230 () (forall @t28 @t229)) % 1.03/1.23 (define @t231 () (= tptp.setadjoinE @t230)) % 1.03/1.23 (define @t232 () (=> @t26 @t23)) % 1.03/1.23 (define @t233 () (forall @t28 @t232)) % 1.03/1.23 (define @t234 () (= tptp.setadjoinOr @t233)) % 1.03/1.23 (define @t235 () (lambda @t9 true)) % 1.03/1.23 (define @t236 () (= (_ @t155 @t235) @t2)) % 1.03/1.23 (define @t237 () (forall @t64 @t236)) % 1.03/1.23 (define @t238 () (= tptp.setoftrueEq @t237)) % 1.03/1.23 (define @t239 () (=> @t32 @t35)) % 1.03/1.23 (define @t240 () (forall @t12 @t239)) % 1.03/1.23 (define @t241 () (= tptp.powersetI @t240)) % 1.03/1.23 (define @t242 () (_ @t49 @t33)) % 1.03/1.23 (define @t243 () (forall @t64 @t242)) % 1.03/1.23 (define @t244 () (= tptp.emptyinPowerset @t243)) % 1.03/1.23 (define @t245 () (@list @t2 @t1 @t4)) % 1.03/1.23 (define @t246 () (forall @t245 (=> @t35 @t31))) % 1.03/1.23 (define @t247 () (= tptp.powersetE @t246)) % 1.03/1.23 (define @t248 () (=> @t39 @t44)) % 1.03/1.23 (define @t249 () (@list @t2 @t4 @t1)) % 1.03/1.23 (define @t250 () (forall @t249 (=> @t6 @t248))) % 1.03/1.23 (define @t251 () (= tptp.setunionI @t250)) % 1.03/1.23 (define @t252 () (=> @t39 @t173)) % 1.03/1.23 (define @t253 () (forall @t41 (=> @t6 @t252))) % 1.03/1.23 (define @t254 () (=> @t253 @t173)) % 1.03/1.23 (define @t255 () (forall @t179 @t254)) % 1.03/1.23 (define @t256 () (=> @t44 @t255)) % 1.03/1.23 (define @t257 () (forall @t46 @t256)) % 1.03/1.23 (define @t258 () (= tptp.setunionE @t257)) % 1.03/1.23 (define @t259 () (_ tptp.powerset @t43)) % 1.03/1.23 (define @t260 () (_ @t5 @t259)) % 1.03/1.23 (define @t261 () (forall @t46 (=> @t7 @t260))) % 1.03/1.23 (define @t262 () (= tptp.subPowSU @t261)) % 1.03/1.23 (define @t263 () (= @t153 @t22)) % 1.03/1.23 (define @t264 () (forall @t70 @t263)) % 1.03/1.23 (define @t265 () (exists @t9 @t264)) % 1.03/1.23 (define @t266 () (=> @t148 @t265)) % 1.03/1.23 (define @t267 () (forall @t150 @t266)) % 1.03/1.23 (define @t268 () (= tptp.exuE2 @t267)) % 1.03/1.23 (define @t269 () (and @t7 true)) % 1.03/1.23 (define @t270 () (exists @t9 @t269)) % 1.03/1.23 (define @t271 () (=> @t205 @t270)) % 1.03/1.23 (define @t272 () (forall @t64 @t271)) % 1.03/1.23 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 1.03/1.23 (define @t274 () (_ tptp.setadjoin @t19)) % 1.03/1.23 (define @t275 () (_ @t274 tptp.emptyset)) % 1.03/1.23 (define @t276 () (_ @t5 @t275)) % 1.03/1.23 (define @t277 () (forall @t135 (=> @t276 @t129))) % 1.03/1.23 (define @t278 () (= tptp.uniqinunit @t277)) % 1.03/1.23 (define @t279 () (_ @t24 tptp.emptyset)) % 1.03/1.23 (define @t280 () (_ @t20 @t279)) % 1.03/1.23 (define @t281 () (not @t280)) % 1.03/1.23 (define @t282 () (not @t129)) % 1.03/1.23 (define @t283 () (forall @t135 (=> @t282 @t281))) % 1.03/1.23 (define @t284 () (= tptp.notinsingleton @t283)) % 1.03/1.23 (define @t285 () (forall @t135 (=> @t129 @t276))) % 1.03/1.23 (define @t286 () (= tptp.eqinunit @t285)) % 1.03/1.23 (define @t287 () (forall @t135 (=> @t276 @t280))) % 1.03/1.23 (define @t288 () (= tptp.singletonsswitch @t287)) % 1.03/1.23 (define @t289 () (@var "Xz" $$unsorted)) % 1.03/1.23 (define @t290 () (or (= @t289 @t4) (= @t289 @t19))) % 1.03/1.23 (define @t291 () (_ @t24 @t275)) % 1.03/1.23 (define @t292 () (_ tptp.in @t289)) % 1.03/1.23 (define @t293 () (_ @t292 @t291)) % 1.03/1.23 (define @t294 () (=> @t293 @t290)) % 1.03/1.23 (define @t295 () (@list @t4 @t19 @t289)) % 1.03/1.23 (define @t296 () (forall @t295 @t294)) % 1.03/1.23 (define @t297 () (= tptp.upairsetE @t296)) % 1.03/1.23 (define @t298 () (_ @t5 @t291)) % 1.03/1.23 (define @t299 () (forall @t135 @t298)) % 1.03/1.23 (define @t300 () (= tptp.upairsetIL @t299)) % 1.03/1.23 (define @t301 () (_ @t20 @t291)) % 1.03/1.23 (define @t302 () (forall @t135 @t301)) % 1.03/1.23 (define @t303 () (= tptp.upairsetIR @t302)) % 1.03/1.23 (define @t304 () (_ @t155 @t145)) % 1.03/1.23 (define @t305 () (= @t304 tptp.emptyset)) % 1.03/1.23 (define @t306 () (and @t7 @t144)) % 1.03/1.23 (define @t307 () (exists @t9 @t306)) % 1.03/1.23 (define @t308 () (=> @t307 (=> @t305 false))) % 1.03/1.23 (define @t309 () (@list @t2 @t143)) % 1.03/1.23 (define @t310 () (forall @t309 @t308)) % 1.03/1.23 (define @t311 () (= tptp.emptyE1 @t310)) % 1.03/1.23 (define @t312 () (@list @t143 @t4)) % 1.03/1.23 (define @t313 () (forall @t312 (=> @t15 @t144))) % 1.03/1.23 (define @t314 () (= tptp.vacuousDall @t313)) % 1.03/1.23 (define @t315 () (not @t144)) % 1.03/1.23 (define @t316 () (and @t7 @t315)) % 1.03/1.23 (define @t317 () (exists @t9 @t316)) % 1.03/1.23 (define @t318 () (forall @t9 (=> @t7 @t144))) % 1.03/1.23 (define @t319 () (not @t318)) % 1.03/1.23 (define @t320 () (=> @t319 @t317)) % 1.03/1.23 (define @t321 () (forall @t309 @t320)) % 1.03/1.23 (define @t322 () (= tptp.quantDeMorgan1 @t321)) % 1.03/1.23 (define @t323 () (not @t307)) % 1.03/1.23 (define @t324 () (forall @t9 (=> @t7 @t315))) % 1.03/1.23 (define @t325 () (=> @t324 @t323)) % 1.03/1.23 (define @t326 () (forall @t309 @t325)) % 1.03/1.23 (define @t327 () (= tptp.quantDeMorgan2 @t326)) % 1.03/1.23 (define @t328 () (=> @t323 @t324)) % 1.03/1.23 (define @t329 () (forall @t309 @t328)) % 1.03/1.23 (define @t330 () (= tptp.quantDeMorgan3 @t329)) % 1.03/1.23 (define @t331 () (=> @t317 @t319)) % 1.03/1.23 (define @t332 () (forall @t309 @t331)) % 1.03/1.23 (define @t333 () (= tptp.quantDeMorgan4 @t332)) % 1.03/1.23 (define @t334 () (_ @t49 @t174)) % 1.03/1.23 (define @t335 () (forall @t179 (=> @t173 @t334))) % 1.03/1.23 (define @t336 () (= tptp.prop2setI @t335)) % 1.03/1.23 (define @t337 () (_ tptp.set2prop @t174)) % 1.03/1.23 (define @t338 () (forall @t179 (=> @t173 @t337))) % 1.03/1.23 (define @t339 () (= tptp.prop2set2propI @t338)) % 1.03/1.23 (define @t340 () (=> @t169 @t148)) % 1.03/1.23 (define @t341 () (forall @t150 @t340)) % 1.03/1.23 (define @t342 () (= tptp.exuI1 @t341)) % 1.03/1.23 (define @t343 () (forall @t135 (=> @t144 @t166))) % 1.03/1.23 (define @t344 () (=> @t343 @t148)) % 1.03/1.23 (define @t345 () (=> @t186 @t344)) % 1.03/1.23 (define @t346 () (forall @t150 @t345)) % 1.03/1.23 (define @t347 () (= tptp.exuI3 @t346)) % 1.03/1.23 (define @t348 () (=> @t265 @t148)) % 1.03/1.23 (define @t349 () (forall @t150 @t348)) % 1.03/1.23 (define @t350 () (= tptp.exuI2 @t349)) % 1.03/1.23 (define @t351 () (_ @t20 @t1)) % 1.03/1.23 (define @t352 () (=> @t7 @t351)) % 1.03/1.23 (define @t353 () (forall @t135 (=> @t129 @t352))) % 1.03/1.23 (define @t354 () (=> @t3 @t353)) % 1.03/1.23 (define @t355 () (forall @t12 @t354)) % 1.03/1.23 (define @t356 () (= tptp.inCongP @t355)) % 1.03/1.23 (define @t357 () (= @t7 @t351)) % 1.03/1.23 (define @t358 () (forall @t135 (=> @t129 @t357))) % 1.03/1.23 (define @t359 () (=> @t3 @t358)) % 1.03/1.23 (define @t360 () (forall @t12 @t359)) % 1.03/1.23 (define @t361 () (= tptp.in__Cong @t360)) % 1.03/1.23 (define @t362 () (=> @t148 @t343)) % 1.03/1.23 (define @t363 () (forall @t150 @t362)) % 1.03/1.23 (define @t364 () (= tptp.exuE3u @t363)) % 1.03/1.23 (define @t365 () (@var "Xpsi" (-> $$unsorted Bool))) % 1.03/1.23 (define @t366 () (_ @t365 @t4)) % 1.03/1.23 (define @t367 () (lambda @t9 @t366)) % 1.03/1.23 (define @t368 () (_ tptp.exu @t367)) % 1.03/1.23 (define @t369 () (= @t148 @t368)) % 1.03/1.23 (define @t370 () (_ @t365 @t19)) % 1.03/1.23 (define @t371 () (= @t144 @t370)) % 1.03/1.23 (define @t372 () (=> @t129 @t371)) % 1.03/1.23 (define @t373 () (forall @t135 @t372)) % 1.03/1.23 (define @t374 () (=> @t373 @t369)) % 1.03/1.23 (define @t375 () (@list @t143 @t365)) % 1.03/1.23 (define @t376 () (forall @t375 @t374)) % 1.03/1.23 (define @t377 () (= tptp.exu__Cong @t376)) % 1.03/1.23 (define @t378 () (= tptp.emptyset tptp.emptyset)) % 1.03/1.23 (define @t379 () (= tptp.emptyset__Cong @t378)) % 1.03/1.23 (define @t380 () (@var "Xu" $$unsorted)) % 1.03/1.23 (define @t381 () (_ @t274 @t380)) % 1.03/1.23 (define @t382 () (_ @t24 @t289)) % 1.03/1.23 (define @t383 () (= @t382 @t381)) % 1.03/1.23 (define @t384 () (= @t289 @t380)) % 1.03/1.23 (define @t385 () (@list @t289 @t380)) % 1.03/1.23 (define @t386 () (forall @t385 (=> @t384 @t383))) % 1.03/1.23 (define @t387 () (=> @t129 @t386)) % 1.03/1.23 (define @t388 () (forall @t135 @t387)) % 1.03/1.23 (define @t389 () (= tptp.setadjoin__Cong @t388)) % 1.03/1.23 (define @t390 () (_ tptp.powerset @t1)) % 1.03/1.23 (define @t391 () (= @t33 @t390)) % 1.03/1.23 (define @t392 () (forall @t12 (=> @t3 @t391))) % 1.03/1.23 (define @t393 () (= tptp.powerset__Cong @t392)) % 1.03/1.23 (define @t394 () (_ tptp.setunion @t1)) % 1.03/1.23 (define @t395 () (= @t43 @t394)) % 1.03/1.23 (define @t396 () (forall @t12 (=> @t3 @t395))) % 1.03/1.23 (define @t397 () (= tptp.setunion__Cong @t396)) % 1.03/1.23 (define @t398 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 1.03/1.23 (define @t399 () (= tptp.exuEu @t363)) % 1.03/1.23 (define @t400 () (_ tptp.descr @t367)) % 1.03/1.23 (define @t401 () (= @t146 @t400)) % 1.03/1.23 (define @t402 () (=> @t368 @t401)) % 1.03/1.23 (define @t403 () (=> @t148 @t402)) % 1.03/1.23 (define @t404 () (=> @t373 @t403)) % 1.03/1.23 (define @t405 () (forall @t375 @t404)) % 1.03/1.23 (define @t406 () (= tptp.descr__Cong @t405)) % 1.03/1.23 (define @t407 () (_ tptp.dsetconstr @t1)) % 1.03/1.23 (define @t408 () (_ @t407 @t367)) % 1.03/1.23 (define @t409 () (= @t304 @t408)) % 1.03/1.23 (define @t410 () (forall @t70 (=> @t351 @t372))) % 1.03/1.23 (define @t411 () (=> @t7 @t410)) % 1.03/1.23 (define @t412 () (forall @t9 @t411)) % 1.03/1.23 (define @t413 () (=> @t412 @t409)) % 1.03/1.23 (define @t414 () (forall @t375 @t413)) % 1.03/1.23 (define @t415 () (=> @t3 @t414)) % 1.03/1.23 (define @t416 () (forall @t12 @t415)) % 1.03/1.23 (define @t417 () (= tptp.dsetconstr__Cong @t416)) % 1.03/1.23 (define @t418 () (_ tptp.subset @t2)) % 1.03/1.23 (define @t419 () (_ @t418 @t1)) % 1.03/1.23 (define @t420 () (=> @t192 @t419)) % 1.03/1.23 (define @t421 () (forall @t12 @t420)) % 1.03/1.23 (define @t422 () (= tptp.subsetI1 @t421)) % 1.03/1.23 (define @t423 () (_ tptp.subset @t1)) % 1.03/1.23 (define @t424 () (_ @t423 @t2)) % 1.03/1.23 (define @t425 () (forall @t12 (=> @t3 @t424))) % 1.03/1.23 (define @t426 () (= tptp.eqimpsubset2 @t425)) % 1.03/1.23 (define @t427 () (forall @t12 (=> @t3 @t419))) % 1.03/1.23 (define @t428 () (= tptp.eqimpsubset1 @t427)) % 1.03/1.23 (define @t429 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 1.03/1.23 (define @t430 () (forall @t64 @t429)) % 1.03/1.23 (define @t431 () (= tptp.emptysetsubset @t430)) % 1.03/1.23 (define @t432 () (forall @t245 (=> @t419 @t191))) % 1.03/1.23 (define @t433 () (= tptp.subsetE @t432)) % 1.03/1.23 (define @t434 () (not @t6)) % 1.03/1.23 (define @t435 () (=> @t434 @t197)) % 1.03/1.23 (define @t436 () (forall @t245 (=> @t419 @t435))) % 1.03/1.23 (define @t437 () (= tptp.subsetE2 @t436)) % 1.03/1.23 (define @t438 () (not @t419)) % 1.03/1.23 (define @t439 () (=> @t434 @t438)) % 1.03/1.23 (define @t440 () (forall @t245 (=> @t7 @t439))) % 1.03/1.23 (define @t441 () (= tptp.notsubsetI @t440)) % 1.03/1.23 (define @t442 () (not @t3)) % 1.03/1.23 (define @t443 () (forall @t12 (=> @t438 @t442))) % 1.03/1.23 (define @t444 () (= tptp.notequalI1 @t443)) % 1.03/1.23 (define @t445 () (=> @t434 @t442)) % 1.03/1.23 (define @t446 () (forall @t245 (=> @t7 @t445))) % 1.03/1.23 (define @t447 () (= tptp.notequalI2 @t446)) % 1.03/1.23 (define @t448 () (_ @t418 @t2)) % 1.03/1.23 (define @t449 () (forall @t64 @t448)) % 1.03/1.23 (define @t450 () (= tptp.subsetRefl @t449)) % 1.03/1.23 (define @t451 () (_ @t418 @t104)) % 1.03/1.23 (define @t452 () (_ @t423 @t104)) % 1.03/1.23 (define @t453 () (=> @t452 @t451)) % 1.03/1.23 (define @t454 () (@list @t2 @t1 @t104)) % 1.03/1.23 (define @t455 () (forall @t454 (=> @t419 @t453))) % 1.03/1.23 (define @t456 () (= tptp.subsetTrans @t455)) % 1.03/1.23 (define @t457 () (_ @t418 @t25)) % 1.03/1.23 (define @t458 () (@list @t4 @t2)) % 1.03/1.23 (define @t459 () (forall @t458 @t457)) % 1.03/1.23 (define @t460 () (= tptp.setadjoinSub @t459)) % 1.03/1.23 (define @t461 () (_ @t24 @t1)) % 1.03/1.23 (define @t462 () (_ @t418 @t461)) % 1.03/1.23 (define @t463 () (forall @t249 (=> @t419 @t462))) % 1.03/1.23 (define @t464 () (= tptp.setadjoinSub2 @t463)) % 1.03/1.23 (define @t465 () (_ tptp.in @t2)) % 1.03/1.23 (define @t466 () (_ @t465 @t390)) % 1.03/1.23 (define @t467 () (forall @t12 (=> @t419 @t466))) % 1.03/1.23 (define @t468 () (= tptp.subset2powerset @t467)) % 1.03/1.23 (define @t469 () (=> @t424 @t3)) % 1.03/1.23 (define @t470 () (forall @t12 (=> @t419 @t469))) % 1.03/1.23 (define @t471 () (= tptp.setextsub @t470)) % 1.03/1.23 (define @t472 () (_ @t418 tptp.emptyset)) % 1.03/1.23 (define @t473 () (forall @t64 (=> @t472 @t196))) % 1.03/1.23 (define @t474 () (= tptp.subsetemptysetimpeq @t473)) % 1.03/1.23 (define @t475 () (forall @t12 (=> @t424 @t35))) % 1.03/1.23 (define @t476 () (= tptp.powersetI1 @t475)) % 1.03/1.23 (define @t477 () (forall @t12 (=> @t35 @t424))) % 1.03/1.23 (define @t478 () (= tptp.powersetE1 @t477)) % 1.03/1.23 (define @t479 () (_ @t465 @t33)) % 1.03/1.23 (define @t480 () (forall @t64 @t479)) % 1.03/1.23 (define @t481 () (= tptp.inPowerset @t480)) % 1.03/1.23 (define @t482 () (_ (_ tptp.subset @t33) @t390)) % 1.03/1.23 (define @t483 () (forall @t12 (=> @t419 @t482))) % 1.03/1.23 (define @t484 () (= tptp.powersetsubset @t483)) % 1.03/1.23 (define @t485 () (_ (_ tptp.in @t304) @t33)) % 1.03/1.23 (define @t486 () (forall @t309 @t485)) % 1.03/1.23 (define @t487 () (= tptp.sepInPowerset @t486)) % 1.03/1.23 (define @t488 () (_ (_ tptp.subset @t304) @t2)) % 1.03/1.23 (define @t489 () (forall @t309 @t488)) % 1.03/1.23 (define @t490 () (= tptp.sepSubset @t489)) % 1.03/1.23 (define @t491 () (_ (_ tptp.binunion @t2) @t1)) % 1.03/1.23 (define @t492 () (_ @t5 @t491)) % 1.03/1.23 (define @t493 () (forall @t245 (=> @t7 @t492))) % 1.03/1.23 (define @t494 () (= tptp.binunionIL @t493)) % 1.03/1.23 (define @t495 () (forall @t245 (=> @t6 @t492))) % 1.03/1.23 (define @t496 () (= tptp.binunionIR @t495)) % 1.03/1.23 (define @t497 () (=> @t6 @t173)) % 1.03/1.23 (define @t498 () (=> @t497 @t173)) % 1.03/1.23 (define @t499 () (=> @t7 @t173)) % 1.03/1.23 (define @t500 () (=> @t499 @t498)) % 1.03/1.23 (define @t501 () (@list @t2 @t1 @t4 @t173)) % 1.03/1.23 (define @t502 () (forall @t501 (=> @t492 @t500))) % 1.03/1.23 (define @t503 () (= tptp.binunionEcases @t502)) % 1.03/1.23 (define @t504 () (or @t7 @t6)) % 1.03/1.23 (define @t505 () (forall @t245 (=> @t492 @t504))) % 1.03/1.23 (define @t506 () (= tptp.binunionE @t505)) % 1.03/1.23 (define @t507 () (_ @t418 @t491)) % 1.03/1.23 (define @t508 () (forall @t12 @t507)) % 1.03/1.23 (define @t509 () (= tptp.binunionLsub @t508)) % 1.03/1.23 (define @t510 () (_ @t423 @t491)) % 1.03/1.23 (define @t511 () (forall @t12 @t510)) % 1.03/1.23 (define @t512 () (= tptp.binunionRsub @t511)) % 1.03/1.23 (define @t513 () (_ tptp.binintersect @t2)) % 1.03/1.23 (define @t514 () (_ @t513 @t1)) % 1.03/1.23 (define @t515 () (_ @t5 @t514)) % 1.03/1.23 (define @t516 () (=> @t6 @t515)) % 1.03/1.23 (define @t517 () (forall @t245 (=> @t7 @t516))) % 1.03/1.23 (define @t518 () (= tptp.binintersectI @t517)) % 1.03/1.23 (define @t519 () (_ tptp.subset @t104)) % 1.03/1.23 (define @t520 () (_ @t519 @t514)) % 1.03/1.23 (define @t521 () (_ @t519 @t1)) % 1.03/1.23 (define @t522 () (=> @t521 @t520)) % 1.03/1.23 (define @t523 () (_ @t519 @t2)) % 1.03/1.23 (define @t524 () (forall @t454 (=> @t523 @t522))) % 1.03/1.23 (define @t525 () (= tptp.binintersectSubset5 @t524)) % 1.03/1.23 (define @t526 () (forall @t245 (=> @t515 @t7))) % 1.03/1.23 (define @t527 () (= tptp.binintersectEL @t526)) % 1.03/1.23 (define @t528 () (_ tptp.subset @t514)) % 1.03/1.23 (define @t529 () (_ @t528 @t2)) % 1.03/1.23 (define @t530 () (forall @t12 @t529)) % 1.03/1.23 (define @t531 () (= tptp.binintersectLsub @t530)) % 1.03/1.23 (define @t532 () (= @t514 @t2)) % 1.03/1.23 (define @t533 () (=> @t419 @t532)) % 1.03/1.23 (define @t534 () (forall @t12 @t533)) % 1.03/1.23 (define @t535 () (= tptp.binintersectSubset2 @t534)) % 1.03/1.23 (define @t536 () (= @t514 @t1)) % 1.03/1.23 (define @t537 () (=> @t536 @t424)) % 1.03/1.23 (define @t538 () (forall @t12 @t537)) % 1.03/1.23 (define @t539 () (= tptp.binintersectSubset3 @t538)) % 1.03/1.23 (define @t540 () (forall @t245 (=> @t515 @t6))) % 1.03/1.23 (define @t541 () (= tptp.binintersectER @t540)) % 1.03/1.23 (define @t542 () (and @t7 @t6)) % 1.03/1.23 (define @t543 () (exists @t9 @t542)) % 1.03/1.23 (define @t544 () (not @t543)) % 1.03/1.23 (define @t545 () (=> @t544 (= @t514 tptp.emptyset))) % 1.03/1.23 (define @t546 () (forall @t12 @t545)) % 1.03/1.23 (define @t547 () (= tptp.disjointsetsI1 @t546)) % 1.03/1.23 (define @t548 () (_ @t528 @t1)) % 1.03/1.23 (define @t549 () (forall @t12 @t548)) % 1.03/1.23 (define @t550 () (= tptp.binintersectRsub @t549)) % 1.03/1.23 (define @t551 () (=> @t424 @t536)) % 1.03/1.23 (define @t552 () (forall @t12 @t551)) % 1.03/1.23 (define @t553 () (= tptp.binintersectSubset4 @t552)) % 1.03/1.23 (define @t554 () (=> @t532 @t419)) % 1.03/1.23 (define @t555 () (forall @t12 @t554)) % 1.03/1.23 (define @t556 () (= tptp.binintersectSubset1 @t555)) % 1.03/1.23 (define @t557 () (_ @t513 @t104)) % 1.03/1.23 (define @t558 () (_ (_ tptp.binunion @t514) @t557)) % 1.03/1.23 (define @t559 () (_ (_ tptp.binunion @t1) @t104)) % 1.03/1.23 (define @t560 () (_ @t513 @t559)) % 1.03/1.23 (define @t561 () (= @t560 @t558)) % 1.03/1.23 (define @t562 () (forall @t454 @t561)) % 1.03/1.23 (define @t563 () (= tptp.bs114d @t562)) % 1.03/1.23 (define @t564 () (_ (_ tptp.setminus @t2) @t1)) % 1.03/1.23 (define @t565 () (_ @t5 @t564)) % 1.03/1.23 (define @t566 () (=> @t434 @t565)) % 1.03/1.23 (define @t567 () (forall @t245 (=> @t7 @t566))) % 1.03/1.23 (define @t568 () (= tptp.setminusI @t567)) % 1.03/1.23 (define @t569 () (forall @t245 (=> @t565 @t7))) % 1.03/1.23 (define @t570 () (= tptp.setminusEL @t569)) % 1.03/1.23 (define @t571 () (forall @t245 (=> @t565 @t434))) % 1.03/1.23 (define @t572 () (= tptp.setminusER @t571)) % 1.03/1.23 (define @t573 () (= @t564 tptp.emptyset)) % 1.03/1.23 (define @t574 () (=> @t419 @t573)) % 1.03/1.23 (define @t575 () (forall @t12 @t574)) % 1.03/1.23 (define @t576 () (= tptp.setminusSubset2 @t575)) % 1.03/1.23 (define @t577 () (not @t565)) % 1.03/1.23 (define @t578 () (forall @t245 (=> @t577 @t191))) % 1.03/1.23 (define @t579 () (= tptp.setminusERneg @t578)) % 1.03/1.23 (define @t580 () (forall @t245 (=> @t577 @t435))) % 1.03/1.23 (define @t581 () (= tptp.setminusELneg @t580)) % 1.03/1.23 (define @t582 () (forall @t245 (=> @t197 @t577))) % 1.03/1.23 (define @t583 () (= tptp.setminusILneg @t582)) % 1.03/1.23 (define @t584 () (forall @t245 (=> @t6 @t577))) % 1.03/1.23 (define @t585 () (= tptp.setminusIRneg @t584)) % 1.03/1.23 (define @t586 () (_ (_ tptp.subset @t564) @t2)) % 1.03/1.23 (define @t587 () (forall @t12 @t586)) % 1.03/1.23 (define @t588 () (= tptp.setminusLsub @t587)) % 1.03/1.23 (define @t589 () (=> @t573 @t419)) % 1.03/1.23 (define @t590 () (forall @t12 @t589)) % 1.03/1.23 (define @t591 () (= tptp.setminusSubset1 @t590)) % 1.03/1.23 (define @t592 () (=> @t197 @t497)) % 1.03/1.23 (define @t593 () (=> @t592 @t173)) % 1.03/1.23 (define @t594 () (=> @t434 @t173)) % 1.03/1.23 (define @t595 () (=> @t7 @t594)) % 1.03/1.23 (define @t596 () (forall @t179 (=> @t595 @t593))) % 1.03/1.23 (define @t597 () (_ (_ tptp.symdiff @t2) @t1)) % 1.03/1.23 (define @t598 () (_ @t5 @t597)) % 1.03/1.23 (define @t599 () (=> @t598 @t596)) % 1.03/1.23 (define @t600 () (forall @t245 @t599)) % 1.03/1.23 (define @t601 () (= tptp.symdiffE @t600)) % 1.03/1.23 (define @t602 () (=> @t434 @t598)) % 1.03/1.23 (define @t603 () (forall @t245 (=> @t7 @t602))) % 1.03/1.23 (define @t604 () (= tptp.symdiffI1 @t603)) % 1.03/1.23 (define @t605 () (=> @t6 @t598)) % 1.03/1.23 (define @t606 () (forall @t245 (=> @t197 @t605))) % 1.03/1.23 (define @t607 () (= tptp.symdiffI2 @t606)) % 1.03/1.23 (define @t608 () (not @t598)) % 1.03/1.23 (define @t609 () (=> @t6 @t608)) % 1.03/1.23 (define @t610 () (forall @t245 (=> @t7 @t609))) % 1.03/1.23 (define @t611 () (= tptp.symdiffIneg1 @t610)) % 1.03/1.23 (define @t612 () (=> @t434 @t608)) % 1.03/1.23 (define @t613 () (forall @t245 (=> @t197 @t612))) % 1.03/1.23 (define @t614 () (= tptp.symdiffIneg2 @t613)) % 1.03/1.23 (define @t615 () (_ (_ tptp.setadjoin @t291) tptp.emptyset)) % 1.03/1.23 (define @t616 () (_ tptp.setadjoin @t279)) % 1.03/1.23 (define @t617 () (_ @t616 @t615)) % 1.03/1.23 (define @t618 () (_ tptp.setunion @t617)) % 1.03/1.23 (define @t619 () (_ @t5 @t618)) % 1.03/1.23 (define @t620 () (forall @t135 @t619)) % 1.03/1.23 (define @t621 () (= tptp.setukpairIL @t620)) % 1.03/1.23 (define @t622 () (_ @t20 @t618)) % 1.03/1.23 (define @t623 () (forall @t135 @t622)) % 1.03/1.23 (define @t624 () (= tptp.setukpairIR @t623)) % 1.03/1.23 (define @t625 () (forall @t135 (_ tptp.iskpair @t617))) % 1.03/1.23 (define @t626 () (= tptp.kpairiskpair @t625)) % 1.03/1.23 (define @t627 () (_ (_ tptp.kpair @t4) @t19)) % 1.03/1.23 (define @t628 () (forall @t135 (_ tptp.iskpair @t627))) % 1.03/1.23 (define @t629 () (= tptp.kpairp @t628)) % 1.03/1.23 (define @t630 () (_ (_ tptp.subset @t279) @t2)) % 1.03/1.23 (define @t631 () (forall @t46 (=> @t7 @t630))) % 1.03/1.23 (define @t632 () (= tptp.singletonsubset @t631)) % 1.03/1.23 (define @t633 () (_ tptp.in @t279)) % 1.03/1.23 (define @t634 () (_ @t633 @t33)) % 1.03/1.23 (define @t635 () (forall @t46 (=> @t7 @t634))) % 1.03/1.23 (define @t636 () (= tptp.singletoninpowerset @t635)) % 1.03/1.23 (define @t637 () (_ tptp.powerset @t491)) % 1.03/1.23 (define @t638 () (_ @t633 @t637)) % 1.03/1.23 (define @t639 () (forall @t245 (=> @t7 @t638))) % 1.03/1.23 (define @t640 () (= tptp.singletoninpowunion @t639)) % 1.03/1.23 (define @t641 () (_ (_ tptp.subset @t291) @t491)) % 1.03/1.23 (define @t642 () (forall @t70 (=> @t351 @t641))) % 1.03/1.23 (define @t643 () (=> @t7 @t642)) % 1.03/1.23 (define @t644 () (forall @t245 @t643)) % 1.03/1.23 (define @t645 () (= tptp.upairsubunion @t644)) % 1.03/1.23 (define @t646 () (_ (_ tptp.in @t291) @t637)) % 1.03/1.23 (define @t647 () (forall @t70 (=> @t351 @t646))) % 1.03/1.23 (define @t648 () (=> @t7 @t647)) % 1.03/1.23 (define @t649 () (forall @t245 @t648)) % 1.03/1.23 (define @t650 () (= tptp.upairinpowunion @t649)) % 1.03/1.23 (define @t651 () (_ (_ tptp.subset @t617) @t637)) % 1.03/1.23 (define @t652 () (forall @t70 (=> @t351 @t651))) % 1.03/1.23 (define @t653 () (=> @t7 @t652)) % 1.03/1.23 (define @t654 () (forall @t245 @t653)) % 1.03/1.23 (define @t655 () (= tptp.ubforcartprodlem1 @t654)) % 1.03/1.23 (define @t656 () (_ tptp.powerset @t637)) % 1.03/1.23 (define @t657 () (_ tptp.in @t617)) % 1.03/1.23 (define @t658 () (_ @t657 @t656)) % 1.03/1.23 (define @t659 () (forall @t70 (=> @t351 @t658))) % 1.03/1.23 (define @t660 () (=> @t7 @t659)) % 1.03/1.23 (define @t661 () (forall @t245 @t660)) % 1.03/1.23 (define @t662 () (= tptp.ubforcartprodlem2 @t661)) % 1.03/1.23 (define @t663 () (_ tptp.in @t627)) % 1.03/1.23 (define @t664 () (=> @t351 (_ @t663 @t656))) % 1.03/1.23 (define @t665 () (forall @t70 @t664)) % 1.03/1.23 (define @t666 () (=> @t7 @t665)) % 1.03/1.23 (define @t667 () (forall @t245 @t666)) % 1.03/1.23 (define @t668 () (= tptp.ubforcartprodlem3 @t667)) % 1.03/1.23 (define @t669 () (_ (_ tptp.cartprod @t2) @t1)) % 1.03/1.23 (define @t670 () (=> @t351 (_ @t663 @t669))) % 1.03/1.23 (define @t671 () (forall @t70 @t670)) % 1.03/1.23 (define @t672 () (=> @t7 @t671)) % 1.03/1.23 (define @t673 () (forall @t245 @t672)) % 1.03/1.23 (define @t674 () (= tptp.cartprodpairin @t673)) % 1.03/1.23 (define @t675 () (= @t380 @t627)) % 1.03/1.23 (define @t676 () (and @t351 @t675)) % 1.03/1.23 (define @t677 () (exists @t70 @t676)) % 1.03/1.23 (define @t678 () (and @t7 @t677)) % 1.03/1.23 (define @t679 () (exists @t9 @t678)) % 1.03/1.23 (define @t680 () (_ tptp.in @t380)) % 1.03/1.23 (define @t681 () (=> (_ @t680 @t669) @t679)) % 1.03/1.23 (define @t682 () (@list @t2 @t1 @t380)) % 1.03/1.23 (define @t683 () (forall @t682 @t681)) % 1.03/1.23 (define @t684 () (=> tptp.cartprodpairin @t683)) % 1.03/1.23 (define @t685 () (=> tptp.ubforcartprodlem3 @t684)) % 1.03/1.23 (define @t686 () (=> tptp.ubforcartprodlem2 @t685)) % 1.03/1.23 (define @t687 () (=> tptp.ubforcartprodlem1 @t686)) % 1.03/1.23 (define @t688 () (=> tptp.upairinpowunion @t687)) % 1.03/1.23 (define @t689 () (=> tptp.upairsubunion @t688)) % 1.03/1.23 (define @t690 () (=> tptp.upairset2E @t689)) % 1.03/1.23 (define @t691 () (=> tptp.singletoninpowunion @t690)) % 1.03/1.23 (define @t692 () (=> tptp.singletoninpowerset @t691)) % 1.03/1.23 (define @t693 () (=> tptp.singletonsubset @t692)) % 1.03/1.23 (define @t694 () (=> tptp.kpairp @t693)) % 1.03/1.23 (define @t695 () (=> tptp.kpairiskpair @t694)) % 1.03/1.23 (define @t696 () (=> tptp.setukpairIR @t695)) % 1.03/1.23 (define @t697 () (=> tptp.setukpairIL @t696)) % 1.03/1.23 (define @t698 () (=> tptp.secondinupair @t697)) % 1.03/1.23 (define @t699 () (=> tptp.symdiffIneg2 @t698)) % 1.03/1.23 (define @t700 () (=> tptp.symdiffIneg1 @t699)) % 1.03/1.23 (define @t701 () (=> tptp.symdiffI2 @t700)) % 1.03/1.23 (define @t702 () (=> tptp.symdiffI1 @t701)) % 1.03/1.23 (define @t703 () (=> tptp.symdiffE @t702)) % 1.03/1.23 (define @t704 () (=> tptp.setminusSubset1 @t703)) % 1.03/1.23 (define @t705 () (=> tptp.setminusLsub @t704)) % 1.03/1.23 (define @t706 () (=> tptp.setminusIRneg @t705)) % 1.03/1.23 (define @t707 () (=> tptp.setminusILneg @t706)) % 1.03/1.23 (define @t708 () (=> tptp.setminusELneg @t707)) % 1.03/1.23 (define @t709 () (=> tptp.setminusERneg @t708)) % 1.03/1.23 (define @t710 () (=> tptp.setminusSubset2 @t709)) % 1.03/1.23 (define @t711 () (=> tptp.setminusER @t710)) % 1.03/1.23 (define @t712 () (=> tptp.setminusEL @t711)) % 1.03/1.23 (define @t713 () (=> tptp.setminusI @t712)) % 1.03/1.23 (define @t714 () (=> tptp.bs114d @t713)) % 1.03/1.23 (define @t715 () (=> tptp.binintersectSubset1 @t714)) % 1.03/1.23 (define @t716 () (=> tptp.binintersectSubset4 @t715)) % 1.03/1.23 (define @t717 () (=> tptp.binintersectRsub @t716)) % 1.03/1.23 (define @t718 () (=> tptp.disjointsetsI1 @t717)) % 1.03/1.23 (define @t719 () (=> tptp.binintersectER @t718)) % 1.03/1.23 (define @t720 () (=> tptp.binintersectSubset3 @t719)) % 1.03/1.23 (define @t721 () (=> tptp.binintersectSubset2 @t720)) % 1.03/1.23 (define @t722 () (=> tptp.binintersectLsub @t721)) % 1.03/1.23 (define @t723 () (=> tptp.binintersectEL @t722)) % 1.03/1.23 (define @t724 () (=> tptp.binintersectSubset5 @t723)) % 1.03/1.23 (define @t725 () (=> tptp.binintersectI @t724)) % 1.03/1.23 (define @t726 () (=> tptp.binunionRsub @t725)) % 1.03/1.23 (define @t727 () (=> tptp.binunionLsub @t726)) % 1.03/1.23 (define @t728 () (=> tptp.binunionE @t727)) % 1.03/1.23 (define @t729 () (=> tptp.binunionEcases @t728)) % 1.03/1.23 (define @t730 () (=> tptp.binunionIR @t729)) % 1.03/1.23 (define @t731 () (=> tptp.upairset2IR @t730)) % 1.03/1.23 (define @t732 () (=> tptp.binunionIL @t731)) % 1.03/1.23 (define @t733 () (=> tptp.sepSubset @t732)) % 1.03/1.23 (define @t734 () (=> tptp.sepInPowerset @t733)) % 1.03/1.23 (define @t735 () (=> tptp.powersetsubset @t734)) % 1.03/1.23 (define @t736 () (=> tptp.inPowerset @t735)) % 1.03/1.23 (define @t737 () (=> tptp.powersetE1 @t736)) % 1.03/1.23 (define @t738 () (=> tptp.powersetI1 @t737)) % 1.03/1.23 (define @t739 () (=> tptp.subsetemptysetimpeq @t738)) % 1.03/1.23 (define @t740 () (=> tptp.setextsub @t739)) % 1.03/1.23 (define @t741 () (=> tptp.subset2powerset @t740)) % 1.03/1.23 (define @t742 () (=> tptp.setadjoinSub2 @t741)) % 1.03/1.23 (define @t743 () (=> tptp.setadjoinSub @t742)) % 1.03/1.23 (define @t744 () (=> tptp.subsetTrans @t743)) % 1.03/1.23 (define @t745 () (=> tptp.subsetRefl @t744)) % 1.03/1.23 (define @t746 () (=> tptp.notequalI2 @t745)) % 1.03/1.23 (define @t747 () (=> tptp.notequalI1 @t746)) % 1.03/1.23 (define @t748 () (=> tptp.notsubsetI @t747)) % 1.03/1.23 (define @t749 () (=> tptp.subsetE2 @t748)) % 1.03/1.23 (define @t750 () (=> tptp.subsetE @t749)) % 1.03/1.23 (define @t751 () (=> tptp.emptysetsubset @t750)) % 1.03/1.23 (define @t752 () (=> tptp.subsetI2 @t751)) % 1.03/1.23 (define @t753 () (=> tptp.eqimpsubset1 @t752)) % 1.03/1.23 (define @t754 () (=> tptp.eqimpsubset2 @t753)) % 1.03/1.23 (define @t755 () (=> tptp.subsetI1 @t754)) % 1.03/1.23 (define @t756 () (=> tptp.dsetconstr__Cong @t755)) % 1.03/1.23 (define @t757 () (=> tptp.descr__Cong @t756)) % 1.03/1.23 (define @t758 () (=> tptp.exuEu @t757)) % 1.03/1.23 (define @t759 () (=> tptp.omega__Cong @t758)) % 1.03/1.23 (define @t760 () (=> tptp.setunion__Cong @t759)) % 1.03/1.23 (define @t761 () (=> tptp.powerset__Cong @t760)) % 1.03/1.23 (define @t762 () (=> tptp.setadjoin__Cong @t761)) % 1.03/1.23 (define @t763 () (=> tptp.emptyset__Cong @t762)) % 1.03/1.23 (define @t764 () (=> tptp.exu__Cong @t763)) % 1.03/1.23 (define @t765 () (=> tptp.exuE3u @t764)) % 1.03/1.23 (define @t766 () (=> tptp.in__Cong @t765)) % 1.03/1.23 (define @t767 () (=> tptp.inCongP @t766)) % 1.03/1.23 (define @t768 () (=> tptp.exuI2 @t767)) % 1.03/1.23 (define @t769 () (=> tptp.exuI3 @t768)) % 1.03/1.23 (define @t770 () (=> tptp.exuI1 @t769)) % 1.03/1.23 (define @t771 () (=> tptp.notdallE @t770)) % 1.03/1.23 (define @t772 () (=> tptp.notdexE @t771)) % 1.03/1.23 (define @t773 () (=> tptp.prop2set2propI @t772)) % 1.03/1.23 (define @t774 () (=> tptp.prop2setI @t773)) % 1.03/1.23 (define @t775 () (=> tptp.quantDeMorgan4 @t774)) % 1.03/1.23 (define @t776 () (=> tptp.quantDeMorgan3 @t775)) % 1.03/1.23 (define @t777 () (=> tptp.quantDeMorgan2 @t776)) % 1.03/1.23 (define @t778 () (=> tptp.quantDeMorgan1 @t777)) % 1.03/1.23 (define @t779 () (=> tptp.vacuousDall @t778)) % 1.03/1.23 (define @t780 () (=> tptp.emptyE1 @t779)) % 1.03/1.23 (define @t781 () (=> tptp.upairsetIR @t780)) % 1.03/1.23 (define @t782 () (=> tptp.upairsetIL @t781)) % 1.03/1.23 (define @t783 () (=> tptp.upairsetE @t782)) % 1.03/1.23 (define @t784 () (=> tptp.singletonsswitch @t783)) % 1.03/1.23 (define @t785 () (=> tptp.eqinunit @t784)) % 1.03/1.23 (define @t786 () (=> tptp.notinsingleton @t785)) % 1.03/1.23 (define @t787 () (=> tptp.uniqinunit @t786)) % 1.03/1.23 (define @t788 () (=> tptp.nonemptyImpWitness @t787)) % 1.03/1.23 (define @t789 () (=> tptp.exuE2 @t788)) % 1.03/1.23 (define @t790 () (=> tptp.subPowSU @t789)) % 1.03/1.23 (define @t791 () (=> tptp.setunionE @t790)) % 1.03/1.23 (define @t792 () (=> tptp.setunionI @t791)) % 1.03/1.23 (define @t793 () (=> tptp.powersetE @t792)) % 1.03/1.23 (define @t794 () (=> tptp.emptyInPowerset @t793)) % 1.03/1.23 (define @t795 () (=> tptp.emptyinPowerset @t794)) % 1.03/1.23 (define @t796 () (=> tptp.powersetI @t795)) % 1.03/1.23 (define @t797 () (=> tptp.setoftrueEq @t796)) % 1.03/1.23 (define @t798 () (=> tptp.setadjoinOr @t797)) % 1.03/1.23 (define @t799 () (=> tptp.setadjoinE @t798)) % 1.03/1.23 (define @t800 () (=> tptp.setadjoinIR @t799)) % 1.03/1.23 (define @t801 () (=> tptp.emptyinunitempty @t800)) % 1.03/1.23 (define @t802 () (=> tptp.setadjoinIL @t801)) % 1.03/1.23 (define @t803 () (=> tptp.nonemptyI1 @t802)) % 1.03/1.23 (define @t804 () (=> tptp.nonemptyI @t803)) % 1.03/1.23 (define @t805 () (=> tptp.nonemptyE1 @t804)) % 1.03/1.23 (define @t806 () (=> tptp.setbeta @t805)) % 1.03/1.23 (define @t807 () (=> tptp.noeltsimpempty @t806)) % 1.03/1.23 (define @t808 () (=> tptp.emptyI @t807)) % 1.03/1.23 (define @t809 () (=> tptp.setext @t808)) % 1.03/1.23 (define @t810 () (=> tptp.exuE3e @t809)) % 1.03/1.23 (define @t811 () (=> tptp.notinemptyset @t810)) % 1.03/1.23 (define @t812 () (=> tptp.emptysetimpfalse @t811)) % 1.03/1.23 (define @t813 () (=> tptp.emptysetE @t812)) % 1.03/1.23 (define @t814 () (=> tptp.prop2setE @t813)) % 1.03/1.23 (define @t815 () (=> tptp.exuE1 @t814)) % 1.03/1.23 (define @t816 () (=> tptp.dsetconstrER @t815)) % 1.03/1.23 (define @t817 () (=> tptp.dsetconstrEL @t816)) % 1.03/1.23 (define @t818 () (=> tptp.dsetconstrI @t817)) % 1.03/1.23 (define @t819 () (=> tptp.descrp @t818)) % 1.03/1.23 (define @t820 () (=> tptp.wellorderingAx @t819)) % 1.03/1.23 (define @t821 () (=> tptp.foundationAx @t820)) % 1.03/1.23 (define @t822 () (=> tptp.replAx @t821)) % 1.03/1.23 (define @t823 () (=> tptp.omegaIndAx @t822)) % 1.03/1.23 (define @t824 () (=> tptp.omegaSAx @t823)) % 1.03/1.23 (define @t825 () (=> tptp.omega0Ax @t824)) % 1.03/1.23 (define @t826 () (=> tptp.setunionAx @t825)) % 1.03/1.23 (define @t827 () (=> tptp.powersetAx @t826)) % 1.03/1.23 (define @t828 () (=> tptp.setadjoinAx @t827)) % 1.03/1.23 (define @t829 () (=> tptp.emptysetAx @t828)) % 1.03/1.23 (define @t830 () (=> tptp.setextAx @t829)) % 1.03/1.23 (define @t831 () (not @t830)) % 1.03/1.23 (define @t832 () (lambda @t150 @t169)) % 1.03/1.23 (define @t833 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 1.03/1.23 (define @t834 () (= @t2 @t617)) % 1.03/1.23 (define @t835 () (_ @t20 @t43)) % 1.03/1.23 (define @t836 () (and @t835 @t834)) % 1.03/1.23 (define @t837 () (exists @t70 @t836)) % 1.03/1.23 (define @t838 () (and @t44 @t837)) % 1.03/1.23 (define @t839 () (exists @t9 @t838)) % 1.03/1.23 (define @t840 () (lambda @t64 @t839)) % 1.03/1.23 (define @t841 () (lambda @t135 @t617)) % 1.03/1.23 (define @t842 () (= @t4 (_ (_ tptp.kpair @t19) @t289))) % 1.03/1.23 (define @t843 () (_ @t292 @t1)) % 1.03/1.23 (define @t844 () (and @t843 @t842)) % 1.03/1.23 (define @t845 () (@list @t289)) % 1.03/1.23 (define @t846 () (exists @t845 @t844)) % 1.03/1.23 (define @t847 () (and @t21 @t846)) % 1.03/1.23 (define @t848 () (exists @t70 @t847)) % 1.03/1.23 (define @t849 () (lambda @t9 @t848)) % 1.03/1.23 (define @t850 () (_ tptp.dsetconstr @t656)) % 1.03/1.23 (define @t851 () (lambda @t12 (_ @t850 @t849))) % 1.03/1.23 (define @t852 () (@var "BOUND_VARIABLE_11142" $$unsorted)) % 1.03/1.23 (define @t853 () (tptp.setadjoin @t4 tptp.emptyset)) % 1.03/1.23 (define @t854 () (tptp.setadjoin @t853 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t852 tptp.emptyset)) tptp.emptyset))) % 1.03/1.23 (define @t855 () (not (= @t380 @t854))) % 1.03/1.23 (define @t856 () (not (tptp.in @t852 @t1))) % 1.03/1.23 (define @t857 () (tptp.in @t4 @t2)) % 1.03/1.23 (define @t858 () (not @t857)) % 1.03/1.23 (define @t859 () (or @t858 @t856 @t855)) % 1.03/1.23 (define @t860 () (@list @t4 @t852)) % 1.03/1.23 (define @t861 () (not (forall @t860 @t859))) % 1.03/1.23 (define @t862 () (@var "BOUND_VARIABLE_8509" $$unsorted)) % 1.03/1.23 (define @t863 () (tptp.setadjoin @t862 tptp.emptyset)) % 1.03/1.23 (define @t864 () (tptp.setadjoin @t19 @t863)) % 1.03/1.23 (define @t865 () (tptp.setadjoin @t864 tptp.emptyset)) % 1.03/1.23 (define @t866 () (tptp.setadjoin @t19 tptp.emptyset)) % 1.03/1.23 (define @t867 () (tptp.setadjoin @t866 @t865)) % 1.03/1.23 (define @t868 () (= @t4 @t867)) % 1.03/1.23 (define @t869 () (not @t868)) % 1.03/1.23 (define @t870 () (tptp.in @t862 @t1)) % 1.03/1.23 (define @t871 () (not @t870)) % 1.03/1.23 (define @t872 () (tptp.in @t19 @t2)) % 1.03/1.23 (define @t873 () (not @t872)) % 1.03/1.23 (define @t874 () (or @t873 @t871 @t869)) % 1.03/1.23 (define @t875 () (@list @t19 @t862)) % 1.03/1.23 (define @t876 () (forall @t875 @t874)) % 1.03/1.23 (define @t877 () (not @t876)) % 1.03/1.23 (define @t878 () (lambda @t9 @t877)) % 1.03/1.23 (define @t879 () (tptp.binunion @t2 @t1)) % 1.03/1.23 (define @t880 () (tptp.powerset @t879)) % 1.03/1.23 (define @t881 () (tptp.powerset @t880)) % 1.03/1.23 (define @t882 () (tptp.dsetconstr @t881 @t878)) % 1.03/1.23 (define @t883 () (tptp.in @t380 @t882)) % 1.03/1.23 (define @t884 () (forall @t682 (or (not @t883) @t861))) % 1.03/1.23 (define @t885 () (@var "BOUND_VARIABLE_10914" $$unsorted)) % 1.03/1.23 (define @t886 () (@var "BOUND_VARIABLE_10884" $$unsorted)) % 1.03/1.23 (define @t887 () (tptp.setadjoin @t886 @t863)) % 1.03/1.23 (define @t888 () (tptp.setadjoin @t887 tptp.emptyset)) % 1.03/1.23 (define @t889 () (tptp.setadjoin @t886 tptp.emptyset)) % 1.03/1.23 (define @t890 () (tptp.setadjoin @t889 @t888)) % 1.03/1.23 (define @t891 () (tptp.in @t886 @t2)) % 1.03/1.23 (define @t892 () (not @t891)) % 1.03/1.23 (define @t893 () (@list @t886 @t862)) % 1.03/1.23 (define @t894 () (@list @t885)) % 1.03/1.23 (define @t895 () (tptp.dsetconstr @t881 (lambda @t894 (not (forall @t893 (or @t892 @t871 (not (= @t890 @t885)))))))) % 1.03/1.23 (define @t896 () (@var "BOUND_VARIABLE_10945" $$unsorted)) % 1.03/1.23 (define @t897 () (tptp.in (tptp.setadjoin @t853 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t896 tptp.emptyset)) tptp.emptyset)) @t895)) % 1.03/1.23 (define @t898 () (not (tptp.in @t896 @t1))) % 1.03/1.23 (define @t899 () (or @t858 @t898 @t897)) % 1.03/1.23 (define @t900 () (@list @t2 @t1 @t4 @t896)) % 1.03/1.23 (define @t901 () (@var "BOUND_VARIABLE_10846" $$unsorted)) % 1.03/1.23 (define @t902 () (tptp.in (tptp.setadjoin @t853 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t901 tptp.emptyset)) tptp.emptyset)) @t881)) % 1.03/1.23 (define @t903 () (not (tptp.in @t901 @t1))) % 1.03/1.23 (define @t904 () (or @t858 @t903 @t902)) % 1.03/1.23 (define @t905 () (@list @t2 @t1 @t4 @t901)) % 1.03/1.23 (define @t906 () (forall @t905 @t904)) % 1.03/1.23 (define @t907 () (@var "BOUND_VARIABLE_10814" $$unsorted)) % 1.03/1.23 (define @t908 () (tptp.subset (tptp.setadjoin @t853 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t907 tptp.emptyset)) tptp.emptyset)) @t880)) % 1.03/1.23 (define @t909 () (not (tptp.in @t907 @t1))) % 1.03/1.23 (define @t910 () (or @t858 @t909 @t908)) % 1.03/1.23 (define @t911 () (@list @t2 @t1 @t4 @t907)) % 1.03/1.23 (define @t912 () (@var "BOUND_VARIABLE_10786" $$unsorted)) % 1.03/1.23 (define @t913 () (tptp.in (tptp.setadjoin @t4 (tptp.setadjoin @t912 tptp.emptyset)) @t880)) % 1.03/1.23 (define @t914 () (not (tptp.in @t912 @t1))) % 1.03/1.23 (define @t915 () (or @t858 @t914 @t913)) % 1.03/1.23 (define @t916 () (@list @t2 @t1 @t4 @t912)) % 1.03/1.23 (define @t917 () (@var "BOUND_VARIABLE_10758" $$unsorted)) % 1.03/1.23 (define @t918 () (tptp.subset (tptp.setadjoin @t4 (tptp.setadjoin @t917 tptp.emptyset)) @t879)) % 1.03/1.23 (define @t919 () (not (tptp.in @t917 @t1))) % 1.03/1.23 (define @t920 () (or @t858 @t919 @t918)) % 1.03/1.23 (define @t921 () (@list @t2 @t1 @t4 @t917)) % 1.03/1.23 (define @t922 () (= @t19 @t289)) % 1.03/1.23 (define @t923 () (= @t4 @t289)) % 1.03/1.23 (define @t924 () (tptp.setadjoin @t4 @t866)) % 1.03/1.23 (define @t925 () (tptp.in @t289 @t924)) % 1.03/1.23 (define @t926 () (forall @t295 (or (not @t925) @t923 @t922))) % 1.03/1.23 (define @t927 () (tptp.in @t853 @t880)) % 1.03/1.23 (define @t928 () (tptp.powerset @t2)) % 1.03/1.23 (define @t929 () (tptp.in @t853 @t928)) % 1.03/1.23 (define @t930 () (tptp.subset @t853 @t2)) % 1.03/1.23 (define @t931 () (@var "BOUND_VARIABLE_8368" $$unsorted)) % 1.03/1.23 (define @t932 () (tptp.setadjoin @t931 tptp.emptyset)) % 1.03/1.23 (define @t933 () (@var "BOUND_VARIABLE_10660" $$unsorted)) % 1.03/1.23 (define @t934 () (tptp.setadjoin (tptp.setadjoin @t933 tptp.emptyset) (tptp.setadjoin (tptp.setadjoin @t933 @t932) tptp.emptyset))) % 1.03/1.23 (define @t935 () (tptp.setadjoin @t924 tptp.emptyset)) % 1.03/1.23 (define @t936 () (tptp.setadjoin @t853 @t935)) % 1.03/1.23 (define @t937 () (tptp.setunion @t936)) % 1.03/1.23 (define @t938 () (@list @t933 @t931)) % 1.03/1.23 (define @t939 () (forall @t135 (not (forall @t938 (or (not (tptp.in @t933 @t937)) (not (tptp.in @t931 @t937)) (not (= @t936 @t934))))))) % 1.03/1.23 (define @t940 () (tptp.in @t19 @t937)) % 1.03/1.23 (define @t941 () (tptp.in @t4 @t937)) % 1.03/1.23 (define @t942 () (tptp.in @t19 @t924)) % 1.03/1.23 (define @t943 () (forall @t135 @t942)) % 1.03/1.23 (define @t944 () (tptp.symdiff @t2 @t1)) % 1.03/1.23 (define @t945 () (tptp.in @t4 @t944)) % 1.03/1.23 (define @t946 () (not @t945)) % 1.03/1.23 (define @t947 () (tptp.in @t4 @t1)) % 1.03/1.23 (define @t948 () (not @t947)) % 1.03/1.23 (define @t949 () (and @t858 @t947)) % 1.03/1.23 (define @t950 () (and @t857 @t948)) % 1.03/1.23 (define @t951 () (tptp.subset @t2 @t1)) % 1.03/1.23 (define @t952 () (tptp.setminus @t2 @t1)) % 1.03/1.23 (define @t953 () (= tptp.emptyset @t952)) % 1.03/1.23 (define @t954 () (tptp.subset @t952 @t2)) % 1.03/1.23 (define @t955 () (tptp.in @t4 @t952)) % 1.03/1.23 (define @t956 () (not @t955)) % 1.03/1.23 (define @t957 () (not @t951)) % 1.03/1.23 (define @t958 () (tptp.binintersect @t2 @t104)) % 1.03/1.23 (define @t959 () (tptp.binintersect @t2 @t1)) % 1.03/1.23 (define @t960 () (tptp.binunion @t959 @t958)) % 1.03/1.23 (define @t961 () (tptp.binunion @t1 @t104)) % 1.03/1.23 (define @t962 () (tptp.binintersect @t2 @t961)) % 1.03/1.23 (define @t963 () (= @t2 @t959)) % 1.03/1.23 (define @t964 () (= @t1 @t959)) % 1.03/1.23 (define @t965 () (tptp.subset @t1 @t2)) % 1.03/1.23 (define @t966 () (not @t965)) % 1.03/1.23 (define @t967 () (tptp.subset @t959 @t1)) % 1.03/1.23 (define @t968 () (forall @t9 (or @t858 @t948))) % 1.03/1.23 (define @t969 () (not @t968)) % 1.03/1.23 (define @t970 () (tptp.in @t4 @t959)) % 1.03/1.23 (define @t971 () (not @t970)) % 1.03/1.23 (define @t972 () (tptp.subset @t959 @t2)) % 1.03/1.23 (define @t973 () (tptp.subset @t104 @t959)) % 1.03/1.23 (define @t974 () (tptp.subset @t104 @t1)) % 1.03/1.23 (define @t975 () (tptp.subset @t104 @t2)) % 1.03/1.23 (define @t976 () (tptp.subset @t1 @t879)) % 1.03/1.23 (define @t977 () (tptp.subset @t2 @t879)) % 1.03/1.23 (define @t978 () (tptp.in @t4 @t879)) % 1.03/1.23 (define @t979 () (not @t978)) % 1.03/1.23 (define @t980 () (forall @t245 (or @t979 @t857 @t947))) % 1.03/1.23 (define @t981 () (tptp.dsetconstr @t2 @t143)) % 1.03/1.23 (define @t982 () (tptp.powerset @t1)) % 1.03/1.23 (define @t983 () (tptp.subset @t928 @t982)) % 1.03/1.23 (define @t984 () (tptp.in @t2 @t928)) % 1.03/1.23 (define @t985 () (tptp.in @t1 @t928)) % 1.03/1.23 (define @t986 () (not @t985)) % 1.03/1.23 (define @t987 () (tptp.subset @t2 tptp.emptyset)) % 1.03/1.23 (define @t988 () (tptp.in @t2 @t982)) % 1.03/1.23 (define @t989 () (tptp.setadjoin @t4 @t1)) % 1.03/1.23 (define @t990 () (tptp.subset @t2 @t989)) % 1.03/1.23 (define @t991 () (tptp.setadjoin @t4 @t2)) % 1.03/1.23 (define @t992 () (tptp.subset @t2 @t991)) % 1.03/1.23 (define @t993 () (tptp.subset @t2 @t104)) % 1.03/1.23 (define @t994 () (tptp.subset @t1 @t104)) % 1.03/1.23 (define @t995 () (tptp.subset @t2 @t2)) % 1.03/1.23 (define @t996 () (=> (forall @t64 @t995) (=> (forall @t454 (or @t957 (not @t994) @t993)) (=> (forall @t458 @t992) (=> (forall @t249 (or @t957 @t990)) (=> (forall @t12 (or @t957 @t988)) (=> (forall @t12 (or @t957 @t966 @t3)) (=> (forall @t64 (or (not @t987) @t196)) (=> (forall @t12 (or @t966 @t985)) (=> (forall @t12 (or @t986 @t965)) (=> (forall @t64 @t984) (=> (forall @t12 (or @t957 @t983)) (=> (forall @t309 (tptp.in @t981 @t928)) (=> (forall @t309 (tptp.subset @t981 @t2)) (=> (forall @t245 (or @t858 @t978)) (=> @t943 (=> (forall @t245 (or @t948 @t978)) (=> @t980 (=> @t980 (=> (forall @t12 @t977) (=> (forall @t12 @t976) (=> (forall @t245 (or @t858 @t948 @t970)) (=> (forall @t454 (or (not @t975) (not @t974) @t973)) (=> (forall @t245 (or @t971 @t857)) (=> (forall @t12 @t972) (=> (forall @t12 (or @t957 @t963)) (=> (forall @t12 (or (not @t964) @t965)) (=> (forall @t245 (or @t971 @t947)) (=> (forall @t12 (or @t969 (= tptp.emptyset @t959))) (=> (forall @t12 @t967) (=> (forall @t12 (or @t966 @t964)) (=> (forall @t12 (or (not @t963) @t951)) (=> (forall @t454 (= @t962 @t960)) (=> (forall @t245 (or @t858 @t947 @t955)) (=> (forall @t245 (or @t956 @t857)) (=> (forall @t245 (or @t956 @t948)) (=> (forall @t12 (or @t957 @t953)) (=> (forall @t245 (or @t955 @t858 @t947)) (=> (forall @t245 (or @t955 @t947 @t858)) (=> (forall @t245 (or @t857 @t956)) (=> (forall @t245 (or @t948 @t956)) (=> (forall @t12 @t954) (=> (forall @t12 (or (not @t953) @t951)) (=> (forall @t245 (or @t946 @t950 @t949)) (=> (forall @t245 (or @t858 @t947 @t945)) (=> (forall @t245 (or @t857 @t948 @t945)) (=> (forall @t245 (or @t858 @t948 @t946)) (=> (forall @t245 (or @t857 @t947 @t946)) (=> @t943 (=> (forall @t135 @t941) (=> (forall @t135 @t940) (=> @t939 (=> @t939 (=> (forall @t46 (or @t858 @t930)) (=> (forall @t46 (or @t858 @t929)) (=> (forall @t245 (or @t858 @t927)) (=> @t926 (=> (forall @t921 @t920) (=> (forall @t916 @t915) (=> (forall @t911 @t910) (=> @t906 (=> @t906 (=> (forall @t900 @t899) @t884))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) % 1.03/1.23 (define @t997 () (tptp.subset @t1 @t1)) % 1.03/1.23 (define @t998 () (forall @t41 @t997)) % 1.03/1.23 (define @t999 () (forall @t245 (or @t858 @t947 @t957))) % 1.03/1.23 (define @t1000 () (forall @t245 (or @t957 @t947 @t858))) % 1.03/1.23 (define @t1001 () (forall @t245 (or @t957 @t858 @t947))) % 1.03/1.23 (define @t1002 () (tptp.subset tptp.emptyset @t2)) % 1.03/1.23 (define @t1003 () (forall @t64 @t1002)) % 1.03/1.23 (define @t1004 () (forall @t9 (or @t858 @t947))) % 1.03/1.23 (define @t1005 () (not @t1004)) % 1.03/1.23 (define @t1006 () (forall @t12 (or @t1005 @t951))) % 1.03/1.23 (define @t1007 () (@var "BOUND_VARIABLE_10114" (-> $$unsorted Bool))) % 1.03/1.23 (define @t1008 () (tptp.dsetconstr @t1 @t1007)) % 1.03/1.23 (define @t1009 () (@var "BOUND_VARIABLE_10116" (-> $$unsorted Bool))) % 1.03/1.23 (define @t1010 () (tptp.dsetconstr @t1 @t1009)) % 1.03/1.23 (define @t1011 () (= @t1010 @t1008)) % 1.03/1.23 (define @t1012 () (= (_ @t1007 @t4) (_ @t1009 @t4))) % 1.03/1.23 (define @t1013 () (or @t948 @t1012)) % 1.03/1.23 (define @t1014 () (not (forall @t9 @t1013))) % 1.03/1.23 (define @t1015 () (or @t1014 @t1011)) % 1.03/1.23 (define @t1016 () (@list @t1 @t1007 @t1009)) % 1.03/1.23 (define @t1017 () (forall @t1016 @t1015)) % 1.03/1.23 (define @t1018 () (@var "BOUND_VARIABLE_10053" $$unsorted)) % 1.03/1.23 (define @t1019 () (_ @t365 @t19)) % 1.03/1.23 (define @t1020 () (not @t1019)) % 1.03/1.24 (define @t1021 () (not (_ @t365 @t1018))) % 1.03/1.24 (define @t1022 () (@var "BOUND_VARIABLE_10044" $$unsorted)) % 1.03/1.24 (define @t1023 () (_ @t143 @t19)) % 1.03/1.24 (define @t1024 () (not @t1023)) % 1.03/1.24 (define @t1025 () (not (_ @t143 @t1022))) % 1.03/1.24 (define @t1026 () (tptp.descr @t143)) % 1.03/1.24 (define @t1027 () (= @t1026 (tptp.descr @t365))) % 1.03/1.24 (define @t1028 () (= @t1023 @t1019)) % 1.03/1.24 (define @t1029 () (forall @t70 @t1028)) % 1.03/1.24 (define @t1030 () (not @t1029)) % 1.03/1.24 (define @t1031 () (@list @t143 @t365 @t1022 @t1018)) % 1.03/1.24 (define @t1032 () (forall @t1031 (or @t1030 @t1027 @t1025 (not (forall @t70 (or @t1024 (= @t19 @t1022)))) @t1021 (not (forall @t70 (or @t1020 (= @t19 @t1018))))))) % 1.03/1.24 (define @t1033 () (@var "BOUND_VARIABLE_9885" $$unsorted)) % 1.03/1.24 (define @t1034 () (@var "BOUND_VARIABLE_9883" $$unsorted)) % 1.03/1.24 (define @t1035 () (= @t1034 @t1033)) % 1.03/1.24 (define @t1036 () (not (_ @t143 @t1033))) % 1.03/1.24 (define @t1037 () (not (_ @t143 @t1034))) % 1.03/1.24 (define @t1038 () (@var "BOUND_VARIABLE_9874" $$unsorted)) % 1.03/1.24 (define @t1039 () (not (_ @t143 @t1038))) % 1.03/1.24 (define @t1040 () (@list @t143 @t1038 @t1034 @t1033)) % 1.03/1.24 (define @t1041 () (forall @t1040 (or @t1039 (not (forall @t70 (or @t1024 (= @t19 @t1038)))) @t1037 @t1036 @t1035))) % 1.03/1.24 (define @t1042 () (not (forall @t70 (or @t1020 @t129)))) % 1.03/1.24 (define @t1043 () (_ @t365 @t4)) % 1.03/1.24 (define @t1044 () (forall @t9 (or (not @t1043) @t1042))) % 1.03/1.24 (define @t1045 () (not @t1044)) % 1.03/1.24 (define @t1046 () (forall @t70 (or @t1024 @t129))) % 1.03/1.24 (define @t1047 () (not @t1046)) % 1.03/1.24 (define @t1048 () (_ @t143 @t4)) % 1.03/1.24 (define @t1049 () (not @t1048)) % 1.03/1.24 (define @t1050 () (forall @t9 (or @t1049 @t1047))) % 1.03/1.24 (define @t1051 () (not @t1050)) % 1.03/1.24 (define @t1052 () (= @t1051 @t1045)) % 1.03/1.24 (define @t1053 () (forall @t375 (or @t1030 @t1052))) % 1.03/1.24 (define @t1054 () (@var "BOUND_VARIABLE_9781" $$unsorted)) % 1.03/1.24 (define @t1055 () (@list @t143 @t1054)) % 1.03/1.24 (define @t1056 () (forall @t1055 (or (not (forall @t70 (= @t1023 (= @t19 @t1054)))) @t1051))) % 1.03/1.24 (define @t1057 () (forall @t135 (or @t1049 @t1024 @t129))) % 1.03/1.24 (define @t1058 () (not @t1057)) % 1.03/1.24 (define @t1059 () (@var "BOUND_VARIABLE_9765" $$unsorted)) % 1.03/1.24 (define @t1060 () (not (_ @t143 @t1059))) % 1.03/1.24 (define @t1061 () (or @t1060 @t1058 @t1051)) % 1.03/1.24 (define @t1062 () (forall (@list @t143 @t1059) @t1061)) % 1.03/1.24 (define @t1063 () (=> @t1062 (=> @t1056 (=> @t1041 (=> @t1053 (=> @t1041 (=> @t1032 (=> @t1017 (=> @t1006 (=> @t998 (=> @t998 (=> @t1006 (=> @t1003 (=> @t1001 (=> @t1000 (=> @t999 (=> @t998 @t996))))))))))))))))) % 1.03/1.24 (define @t1064 () (tptp.prop2set true)) % 1.03/1.24 (define @t1065 () (tptp.set2prop @t1064)) % 1.03/1.24 (define @t1066 () (=> @t1065 @t1063)) % 1.03/1.24 (define @t1067 () (tptp.in tptp.emptyset @t1064)) % 1.03/1.24 (define @t1068 () (=> @t1067 @t1066)) % 1.03/1.24 (define @t1069 () (tptp.in @t4 tptp.emptyset)) % 1.03/1.24 (define @t1070 () (not @t1069)) % 1.03/1.24 (define @t1071 () (forall @t312 (or @t1070 @t1048))) % 1.03/1.24 (define @t1072 () (=> @t1071 @t1068)) % 1.03/1.24 (define @t1073 () (@var "BOUND_VARIABLE_9674" $$unsorted)) % 1.03/1.24 (define @t1074 () (not (_ @t143 @t1073))) % 1.03/1.24 (define @t1075 () (not (tptp.in @t1073 @t2))) % 1.03/1.24 (define @t1076 () (not (= tptp.emptyset @t981))) % 1.03/1.24 (define @t1077 () (or @t1076 @t1075 @t1074)) % 1.03/1.24 (define @t1078 () (@list @t2 @t143 @t1073)) % 1.03/1.24 (define @t1079 () (forall @t1078 @t1077)) % 1.03/1.24 (define @t1080 () (=> @t1079 @t1072)) % 1.03/1.24 (define @t1081 () (=> @t943 @t1080)) % 1.03/1.24 (define @t1082 () (tptp.in @t4 @t924)) % 1.03/1.24 (define @t1083 () (forall @t135 @t1082)) % 1.03/1.24 (define @t1084 () (=> @t1083 @t1081)) % 1.03/1.24 (define @t1085 () (=> @t926 @t1084)) % 1.03/1.24 (define @t1086 () (tptp.in @t19 @t853)) % 1.03/1.24 (define @t1087 () (tptp.in @t4 @t866)) % 1.03/1.24 (define @t1088 () (not @t1087)) % 1.03/1.24 (define @t1089 () (forall @t135 (or @t1088 @t1086))) % 1.03/1.24 (define @t1090 () (=> @t1089 @t1085)) % 1.03/1.24 (define @t1091 () (tptp.in @t19 @t866)) % 1.03/1.24 (define @t1092 () (forall @t70 @t1091)) % 1.03/1.24 (define @t1093 () (=> @t1092 @t1090)) % 1.03/1.24 (define @t1094 () (forall @t135 (or @t129 (not @t1086)))) % 1.03/1.24 (define @t1095 () (=> @t1094 @t1093)) % 1.03/1.24 (define @t1096 () (forall @t135 (or @t1088 @t129))) % 1.03/1.24 (define @t1097 () (=> @t1096 @t1095)) % 1.03/1.24 (define @t1098 () (forall @t9 @t858)) % 1.03/1.24 (define @t1099 () (not @t1098)) % 1.03/1.24 (define @t1100 () (forall @t64 (or @t196 @t1099))) % 1.03/1.24 (define @t1101 () (=> @t1100 @t1097)) % 1.03/1.24 (define @t1102 () (@var "BOUND_VARIABLE_9562" $$unsorted)) % 1.03/1.24 (define @t1103 () (not (_ @t143 @t1102))) % 1.03/1.24 (define @t1104 () (forall @t70 (= @t129 @t1023))) % 1.03/1.24 (define @t1105 () (forall @t9 (not @t1104))) % 1.03/1.24 (define @t1106 () (not @t1105)) % 1.03/1.24 (define @t1107 () (@list @t143 @t1102)) % 1.03/1.24 (define @t1108 () (forall @t1107 (or @t1106 @t1103 (not (forall @t70 (or @t1024 (= @t19 @t1102))))))) % 1.03/1.24 (define @t1109 () (=> @t1108 @t1101)) % 1.03/1.24 (define @t1110 () (tptp.setunion @t2)) % 1.03/1.24 (define @t1111 () (tptp.powerset @t1110)) % 1.03/1.24 (define @t1112 () (tptp.in @t4 @t1111)) % 1.03/1.24 (define @t1113 () (forall @t46 (or @t858 @t1112))) % 1.03/1.24 (define @t1114 () (=> @t1113 @t1109)) % 1.03/1.24 (define @t1115 () (tptp.in @t1 @t2)) % 1.03/1.24 (define @t1116 () (not @t1115)) % 1.03/1.24 (define @t1117 () (forall @t41 (or @t948 @t1116))) % 1.03/1.24 (define @t1118 () (not @t1117)) % 1.03/1.24 (define @t1119 () (tptp.in @t4 @t1110)) % 1.03/1.24 (define @t1120 () (not @t1119)) % 1.03/1.24 (define @t1121 () (forall @t46 (or @t1120 @t1118))) % 1.03/1.24 (define @t1122 () (=> @t1121 @t1114)) % 1.03/1.24 (define @t1123 () (forall @t249 (or @t948 @t1116 @t1119))) % 1.03/1.24 (define @t1124 () (=> @t1123 @t1122)) % 1.03/1.24 (define @t1125 () (forall @t245 (or @t986 @t948 @t857))) % 1.03/1.24 (define @t1126 () (=> @t1125 @t1124)) % 1.03/1.24 (define @t1127 () (tptp.in tptp.emptyset @t928)) % 1.03/1.24 (define @t1128 () (forall @t64 @t1127)) % 1.03/1.24 (define @t1129 () (=> @t1128 @t1126)) % 1.03/1.24 (define @t1130 () (=> @t1128 @t1129)) % 1.03/1.24 (define @t1131 () (forall @t9 (or @t948 @t857))) % 1.03/1.24 (define @t1132 () (not @t1131)) % 1.03/1.24 (define @t1133 () (forall @t12 (or @t1132 @t985))) % 1.03/1.24 (define @t1134 () (=> @t1133 @t1130)) % 1.03/1.24 (define @t1135 () (@var "BOUND_VARIABLE_47912" $$unsorted)) % 1.03/1.24 (define @t1136 () (lambda (@list @t1135) true)) % 1.03/1.24 (define @t1137 () (tptp.dsetconstr @t2 @t1136)) % 1.03/1.24 (define @t1138 () (forall @t64 (= @t2 @t1137))) % 1.03/1.24 (define @t1139 () (=> @t1138 @t1134)) % 1.03/1.24 (define @t1140 () (tptp.in @t19 @t991)) % 1.03/1.24 (define @t1141 () (forall @t28 (or (not @t1140) @t129 @t872))) % 1.03/1.24 (define @t1142 () (=> @t1141 @t1139)) % 1.03/1.24 (define @t1143 () (=> @t1141 @t1142)) % 1.03/1.24 (define @t1144 () (forall @t28 (or @t873 @t1140))) % 1.03/1.24 (define @t1145 () (=> @t1144 @t1143)) % 1.03/1.24 (define @t1146 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 1.03/1.24 (define @t1147 () (tptp.in tptp.emptyset @t1146)) % 1.03/1.24 (define @t1148 () (=> @t221 @t1145)) % 1.03/1.24 (define @t1149 () (tptp.setadjoin @t4 @t19)) % 1.03/1.24 (define @t1150 () (tptp.in @t4 @t1149)) % 1.03/1.24 (define @t1151 () (forall @t135 @t1150)) % 1.03/1.24 (define @t1152 () (=> @t1151 @t1148)) % 1.03/1.24 (define @t1153 () (@var "BOUND_VARIABLE_9405" $$unsorted)) % 1.03/1.24 (define @t1154 () (not (tptp.in @t1153 tptp.emptyset))) % 1.03/1.24 (define @t1155 () (@list @t1153)) % 1.03/1.24 (define @t1156 () (forall @t1155 @t1154)) % 1.03/1.24 (define @t1157 () (=> @t1156 @t1152)) % 1.03/1.24 (define @t1158 () (forall @t159 (or @t858 @t1049 @t1076))) % 1.03/1.24 (define @t1159 () (=> @t1158 @t1157)) % 1.03/1.24 (define @t1160 () (=> @t1100 @t1159)) % 1.03/1.24 (define @t1161 () (tptp.in @t4 @t981)) % 1.03/1.24 (define @t1162 () (forall @t159 (or @t858 (= @t1048 @t1161)))) % 1.03/1.24 (define @t1163 () (=> @t1162 @t1160)) % 1.03/1.24 (define @t1164 () (forall @t64 (or @t1099 @t196))) % 1.03/1.24 (define @t1165 () (=> @t1164 @t1163)) % 1.03/1.24 (define @t1166 () (=> @t1164 @t1165)) % 1.03/1.24 (define @t1167 () (or @t1005 @t1132 @t3)) % 1.03/1.24 (define @t1168 () (forall @t12 @t1167)) % 1.03/1.24 (define @t1169 () (=> @t1168 @t1166)) % 1.03/1.24 (define @t1170 () (@var "BOUND_VARIABLE_9302" $$unsorted)) % 1.03/1.24 (define @t1171 () (not (_ @t143 @t1170))) % 1.03/1.24 (define @t1172 () (forall @t9 @t1049)) % 1.03/1.24 (define @t1173 () (not @t1172)) % 1.03/1.24 (define @t1174 () (@list @t143 @t1170)) % 1.03/1.24 (define @t1175 () (forall @t1174 (or @t1173 @t1171 (not (forall @t70 (or @t1024 (= @t19 @t1170))))))) % 1.03/1.24 (define @t1176 () (=> @t1175 @t1169)) % 1.03/1.24 (define @t1177 () (forall @t9 @t1070)) % 1.03/1.24 (define @t1178 () (=> @t1177 @t1176)) % 1.03/1.24 (define @t1179 () (=> @t1177 @t1178)) % 1.03/1.24 (define @t1180 () (=> @t1177 @t1179)) % 1.03/1.24 (define @t1181 () (not (tptp.in @t4 (tptp.prop2set false)))) % 1.03/1.24 (define @t1182 () (forall @t9 @t1181)) % 1.03/1.24 (define @t1183 () (=> @t1182 @t1180)) % 1.03/1.24 (define @t1184 () (not @t1161)) % 1.03/1.24 (define @t1185 () (forall @t159 (or @t1184 @t1048))) % 1.03/1.24 (define @t1186 () (=> @t1185 @t1183)) % 1.03/1.24 (define @t1187 () (forall @t159 (or @t1184 @t857))) % 1.03/1.24 (define @t1188 () (=> @t1187 @t1186)) % 1.03/1.24 (define @t1189 () (forall @t159 (or @t858 @t1049 @t1161))) % 1.03/1.24 (define @t1190 () (=> @t1189 @t1188)) % 1.03/1.24 (define @t1191 () (@var "BOUND_VARIABLE_9201" $$unsorted)) % 1.03/1.24 (define @t1192 () (not (_ @t143 @t1191))) % 1.03/1.24 (define @t1193 () (_ @t143 @t1026)) % 1.03/1.24 (define @t1194 () (@list @t143 @t1191)) % 1.03/1.24 (define @t1195 () (forall @t1194 (or @t1193 @t1192 (not (forall @t70 (or @t1024 (= @t19 @t1191))))))) % 1.03/1.24 (define @t1196 () (=> @t1195 @t1190)) % 1.03/1.24 (define @t1197 () (@var "BOUND_VARIABLE_9121" $$unsorted)) % 1.03/1.24 (define @t1198 () (tptp.in @t1197 @t95)) % 1.03/1.24 (define @t1199 () (not (tptp.in @t1197 @t93))) % 1.03/1.24 (define @t1200 () (tptp.in @t4 @t93)) % 1.03/1.24 (define @t1201 () (tptp.in @t93 @t1)) % 1.03/1.24 (define @t1202 () (not @t1201)) % 1.03/1.24 (define @t1203 () (or @t1202 @t1200 @t1199 @t1198)) % 1.03/1.24 (define @t1204 () (@list @t93 @t1197)) % 1.03/1.24 (define @t1205 () (forall @t1204 @t1203)) % 1.03/1.24 (define @t1206 () (not @t1205)) % 1.03/1.24 (define @t1207 () (tptp.in @t19 @t104)) % 1.03/1.24 (define @t1208 () (tptp.in @t19 @t95)) % 1.03/1.24 (define @t1209 () (forall @t70 (or (not @t1208) (not @t1207)))) % 1.03/1.24 (define @t1210 () (not @t1209)) % 1.03/1.24 (define @t1211 () (tptp.in @t4 @t104)) % 1.03/1.24 (define @t1212 () (not @t1211)) % 1.03/1.24 (define @t1213 () (tptp.in @t95 @t1)) % 1.03/1.24 (define @t1214 () (not @t1213)) % 1.03/1.24 (define @t1215 () (not (forall @t112 (or @t1214 @t1212 @t1210 @t1206)))) % 1.03/1.24 (define @t1216 () (@var "BOUND_VARIABLE_9150" $$unsorted)) % 1.03/1.24 (define @t1217 () (not (tptp.in @t1216 @t104))) % 1.03/1.24 (define @t1218 () (forall @t9 (or @t1212 @t857))) % 1.03/1.24 (define @t1219 () (not @t1218)) % 1.03/1.24 (define @t1220 () (or @t1219 @t1217 @t1215)) % 1.03/1.24 (define @t1221 () (forall (@list @t104 @t1216) @t1220)) % 1.03/1.24 (define @t1222 () (not @t1221)) % 1.03/1.24 (define @t1223 () (@var "BOUND_VARIABLE_9073" $$unsorted)) % 1.03/1.24 (define @t1224 () (tptp.in @t1223 @t104)) % 1.03/1.24 (define @t1225 () (not (tptp.in @t1223 @t95))) % 1.03/1.24 (define @t1226 () (@var "BOUND_VARIABLE_9067" $$unsorted)) % 1.03/1.24 (define @t1227 () (tptp.in @t1226 @t95)) % 1.03/1.24 (define @t1228 () (not (tptp.in @t1226 @t104))) % 1.03/1.24 (define @t1229 () (tptp.in @t104 @t1)) % 1.03/1.24 (define @t1230 () (not @t1229)) % 1.03/1.24 (define @t1231 () (or @t1230 @t1214 @t1228 @t1227 @t1225 @t1224)) % 1.03/1.24 (define @t1232 () (@list @t104 @t95 @t1226 @t1223)) % 1.03/1.24 (define @t1233 () (forall @t1232 @t1231)) % 1.03/1.24 (define @t1234 () (not @t1233)) % 1.03/1.24 (define @t1235 () (forall @t118 (or @t1230 (= @t1211 @t1207)))) % 1.03/1.24 (define @t1236 () (not @t1235)) % 1.03/1.24 (define @t1237 () (forall @t135 (or @t858 @t873 @t1236 @t129))) % 1.03/1.24 (define @t1238 () (not @t1237)) % 1.03/1.24 (define @t1239 () (@var "BOUND_VARIABLE_9016" $$unsorted)) % 1.03/1.24 (define @t1240 () (tptp.in @t1239 @t2)) % 1.03/1.24 (define @t1241 () (not (tptp.in @t1239 @t104))) % 1.03/1.24 (define @t1242 () (or @t1230 @t1241 @t1240)) % 1.03/1.24 (define @t1243 () (@list @t104 @t1239)) % 1.03/1.24 (define @t1244 () (forall @t1243 @t1242)) % 1.03/1.24 (define @t1245 () (not @t1244)) % 1.03/1.24 (define @t1246 () (or @t1245 @t1238 @t1234 @t1222)) % 1.03/1.24 (define @t1247 () (forall @t64 (not (forall @t41 @t1246)))) % 1.03/1.24 (define @t1248 () (=> @t1247 @t1196)) % 1.03/1.24 (define @t1249 () (forall @t9 (or @t948 @t858))) % 1.03/1.24 (define @t1250 () (not @t1249)) % 1.03/1.24 (define @t1251 () (not (forall @t41 (or @t1116 @t1250)))) % 1.03/1.24 (define @t1252 () (@var "BOUND_VARIABLE_8991" $$unsorted)) % 1.03/1.24 (define @t1253 () (not (tptp.in @t1252 @t2))) % 1.03/1.24 (define @t1254 () (or @t1253 @t1251)) % 1.03/1.24 (define @t1255 () (forall (@list @t2 @t1252) @t1254)) % 1.03/1.24 (define @t1256 () (=> @t1255 @t1248)) % 1.03/1.24 (define @t1257 () (_ @t67 @t19 @t4)) % 1.03/1.24 (define @t1258 () (not (forall @t70 (or @t873 (not @t1257))))) % 1.03/1.24 (define @t1259 () (forall @t9 (= @t947 @t1258))) % 1.03/1.24 (define @t1260 () (not (forall @t41 (not @t1259)))) % 1.03/1.24 (define @t1261 () (@var "BOUND_VARIABLE_8883" $$unsorted)) % 1.03/1.24 (define @t1262 () (= @t19 @t1261)) % 1.03/1.24 (define @t1263 () (_ @t67 @t4 @t19)) % 1.03/1.24 (define @t1264 () (not (forall @t70 (or (not @t1263) @t1262)))) % 1.03/1.24 (define @t1265 () (_ @t67 @t4 @t1261)) % 1.03/1.24 (define @t1266 () (@list @t1261)) % 1.03/1.24 (define @t1267 () (not (forall @t1266 (or (not @t1265) @t1264)))) % 1.03/1.24 (define @t1268 () (forall @t9 (or @t858 @t1267))) % 1.03/1.24 (define @t1269 () (forall @t81 (or (not @t1268) @t1260))) % 1.03/1.24 (define @t1270 () (=> @t1269 @t1256)) % 1.03/1.24 (define @t1271 () (@var "BOUND_VARIABLE_8864" $$unsorted)) % 1.03/1.24 (define @t1272 () (tptp.in @t1271 @t2)) % 1.03/1.24 (define @t1273 () (not (tptp.in @t1271 tptp.omega))) % 1.03/1.24 (define @t1274 () (tptp.setadjoin @t4 @t4)) % 1.03/1.24 (define @t1275 () (tptp.in @t1274 @t2)) % 1.03/1.24 (define @t1276 () (tptp.in @t4 tptp.omega)) % 1.03/1.24 (define @t1277 () (not @t1276)) % 1.03/1.24 (define @t1278 () (forall @t9 (or @t1277 @t858 @t1275))) % 1.03/1.24 (define @t1279 () (not @t1278)) % 1.03/1.24 (define @t1280 () (tptp.in tptp.emptyset @t2)) % 1.03/1.24 (define @t1281 () (not @t1280)) % 1.03/1.24 (define @t1282 () (or @t1281 @t1279 @t1273 @t1272)) % 1.03/1.24 (define @t1283 () (@list @t2 @t1271)) % 1.03/1.24 (define @t1284 () (forall @t1283 @t1282)) % 1.03/1.24 (define @t1285 () (=> @t1284 @t1270)) % 1.03/1.24 (define @t1286 () (tptp.in @t1274 tptp.omega)) % 1.03/1.24 (define @t1287 () (forall @t9 (or @t1277 @t1286))) % 1.03/1.24 (define @t1288 () (=> @t1287 @t1285)) % 1.03/1.24 (define @t1289 () (tptp.in tptp.emptyset tptp.omega)) % 1.03/1.24 (define @t1290 () (=> @t50 @t1288)) % 1.03/1.24 (define @t1291 () (forall @t46 (= @t1119 @t1118))) % 1.03/1.24 (define @t1292 () (=> @t1291 @t1290)) % 1.03/1.24 (define @t1293 () (forall @t12 (= @t1131 @t985))) % 1.03/1.24 (define @t1294 () (=> @t1293 @t1292)) % 1.03/1.24 (define @t1295 () (or @t129 @t872)) % 1.03/1.24 (define @t1296 () (forall @t28 (= @t1140 @t1295))) % 1.03/1.24 (define @t1297 () (=> @t1296 @t1294)) % 1.03/1.24 (define @t1298 () (=> @t1177 @t1297)) % 1.03/1.24 (define @t1299 () (forall @t9 (= @t857 @t947))) % 1.03/1.24 (define @t1300 () (forall @t12 (or (not @t1299) @t3))) % 1.03/1.24 (define @t1301 () (=> @t1300 @t1298)) % 1.03/1.24 (define @t1302 () (=> @t998 (=> true @t996))) % 1.03/1.24 (define @t1303 () (=> @t999 @t1302)) % 1.03/1.24 (define @t1304 () (=> @t1000 @t1303)) % 1.03/1.24 (define @t1305 () (=> @t1001 @t1304)) % 1.03/1.24 (define @t1306 () (=> @t1003 @t1305)) % 1.03/1.24 (define @t1307 () (=> @t1006 @t1306)) % 1.03/1.24 (define @t1308 () (=> @t998 @t1307)) % 1.03/1.24 (define @t1309 () (=> @t998 @t1308)) % 1.03/1.24 (define @t1310 () (=> @t1006 @t1309)) % 1.03/1.24 (define @t1311 () (=> @t1017 @t1310)) % 1.03/1.24 (define @t1312 () (=> @t1032 @t1311)) % 1.03/1.24 (define @t1313 () (=> @t1041 @t1312)) % 1.03/1.24 (define @t1314 () (=> true (=> true @t1313))) % 1.03/1.24 (define @t1315 () (=> true @t1314)) % 1.03/1.24 (define @t1316 () (=> true @t1315)) % 1.03/1.24 (define @t1317 () (=> true @t1316)) % 1.03/1.24 (define @t1318 () (=> @t1053 @t1317)) % 1.03/1.24 (define @t1319 () (=> @t1041 @t1318)) % 1.03/1.24 (define @t1320 () (=> true (=> true @t1319))) % 1.03/1.24 (define @t1321 () (=> @t1056 @t1320)) % 1.03/1.24 (define @t1322 () (=> @t1062 @t1321)) % 1.03/1.24 (define @t1323 () (=> true (=> true @t1322))) % 1.03/1.24 (define @t1324 () (=> true @t1323)) % 1.03/1.24 (define @t1325 () (=> @t1065 @t1324)) % 1.03/1.24 (define @t1326 () (=> @t1067 @t1325)) % 1.03/1.24 (define @t1327 () (=> true (=> true @t1326))) % 1.03/1.24 (define @t1328 () (=> true @t1327)) % 1.03/1.24 (define @t1329 () (=> true @t1328)) % 1.03/1.24 (define @t1330 () (=> @t1071 @t1329)) % 1.03/1.24 (define @t1331 () (=> @t1079 @t1330)) % 1.03/1.24 (define @t1332 () (=> @t943 @t1331)) % 1.03/1.24 (define @t1333 () (=> @t1083 @t1332)) % 1.03/1.24 (define @t1334 () (=> @t926 @t1333)) % 1.03/1.24 (define @t1335 () (=> @t1089 @t1334)) % 1.03/1.24 (define @t1336 () (=> @t1092 @t1335)) % 1.03/1.24 (define @t1337 () (=> @t1094 @t1336)) % 1.03/1.24 (define @t1338 () (=> @t1096 @t1337)) % 1.03/1.24 (define @t1339 () (=> @t1100 @t1338)) % 1.03/1.24 (define @t1340 () (=> @t1108 @t1339)) % 1.03/1.24 (define @t1341 () (=> @t1113 @t1340)) % 1.03/1.24 (define @t1342 () (=> @t1121 @t1341)) % 1.03/1.24 (define @t1343 () (=> @t1123 @t1342)) % 1.03/1.24 (define @t1344 () (=> @t1125 @t1343)) % 1.03/1.24 (define @t1345 () (=> @t1128 @t1344)) % 1.03/1.24 (define @t1346 () (=> @t1128 @t1345)) % 1.03/1.24 (define @t1347 () (=> @t1133 @t1346)) % 1.03/1.24 (define @t1348 () (=> @t1138 @t1347)) % 1.03/1.24 (define @t1349 () (=> @t1141 @t1348)) % 1.03/1.24 (define @t1350 () (=> @t1141 @t1349)) % 1.03/1.24 (define @t1351 () (=> @t1144 @t1350)) % 1.03/1.24 (define @t1352 () (=> @t221 @t1351)) % 1.03/1.24 (define @t1353 () (=> @t1151 @t1352)) % 1.03/1.24 (define @t1354 () (=> @t1156 @t1353)) % 1.03/1.24 (define @t1355 () (=> @t1158 @t1354)) % 1.03/1.24 (define @t1356 () (=> @t1100 @t1355)) % 1.03/1.24 (define @t1357 () (=> @t1162 @t1356)) % 1.03/1.24 (define @t1358 () (=> @t1164 @t1357)) % 1.03/1.24 (define @t1359 () (=> @t1164 @t1358)) % 1.03/1.24 (define @t1360 () (=> @t1168 @t1359)) % 1.03/1.24 (define @t1361 () (=> @t1175 @t1360)) % 1.03/1.24 (define @t1362 () (=> @t1177 @t1361)) % 1.03/1.24 (define @t1363 () (=> @t1177 @t1362)) % 1.03/1.24 (define @t1364 () (=> @t1177 @t1363)) % 1.03/1.24 (define @t1365 () (=> @t1182 @t1364)) % 1.03/1.24 (define @t1366 () (=> @t1185 (=> true @t1365))) % 1.03/1.24 (define @t1367 () (=> @t1187 @t1366)) % 1.03/1.24 (define @t1368 () (=> @t1189 @t1367)) % 1.03/1.24 (define @t1369 () (=> @t1195 @t1368)) % 1.03/1.24 (define @t1370 () (=> @t1247 @t1369)) % 1.03/1.24 (define @t1371 () (=> @t1255 @t1370)) % 1.03/1.24 (define @t1372 () (=> @t1269 @t1371)) % 1.03/1.24 (define @t1373 () (=> @t1284 @t1372)) % 1.03/1.24 (define @t1374 () (=> @t1287 @t1373)) % 1.03/1.24 (define @t1375 () (=> @t50 @t1374)) % 1.03/1.24 (define @t1376 () (=> @t1291 @t1375)) % 1.03/1.24 (define @t1377 () (=> @t1293 @t1376)) % 1.03/1.24 (define @t1378 () (=> @t1296 @t1377)) % 1.03/1.24 (define @t1379 () (=> @t1177 @t1378)) % 1.03/1.24 (define @t1380 () (=> @t1300 @t1379)) % 1.03/1.24 (define @t1381 () (or @t898 @t897)) % 1.03/1.24 (define @t1382 () (or @t858 @t1381)) % 1.03/1.24 (define @t1383 () (forall @t900 @t1382)) % 1.03/1.24 (define @t1384 () (@list @t896)) % 1.03/1.24 (define @t1385 () (forall @t1384 @t1382)) % 1.03/1.24 (define @t1386 () (forall @t1384 @t1381)) % 1.03/1.24 (define @t1387 () (@list @t19)) % 1.03/1.24 (define @t1388 () (or @t858 @t1386)) % 1.03/1.24 (define @t1389 () (tptp.in @t19 @t1)) % 1.03/1.24 (define @t1390 () (not @t1389)) % 1.03/1.24 (define @t1391 () (forall @t70 (or @t1390 (tptp.in @t936 @t895)))) % 1.03/1.24 (define @t1392 () (or @t197 @t1391)) % 1.03/1.24 (define @t1393 () (not (= @t885 @t890))) % 1.03/1.24 (define @t1394 () (or @t892 @t871 @t1393)) % 1.03/1.24 (define @t1395 () (forall @t893 @t1394)) % 1.03/1.24 (define @t1396 () (not @t1395)) % 1.03/1.24 (define @t1397 () (lambda @t894 @t1396)) % 1.03/1.24 (define @t1398 () (tptp.dsetconstr @t881 @t1397)) % 1.03/1.24 (define @t1399 () (tptp.in @t936 @t1398)) % 1.03/1.24 (define @t1400 () (or @t1390 @t1399)) % 1.03/1.24 (define @t1401 () (forall @t70 @t1400)) % 1.03/1.24 (define @t1402 () (=> @t7 @t1401)) % 1.03/1.24 (define @t1403 () (= @t4 @t890)) % 1.03/1.24 (define @t1404 () (not @t1403)) % 1.03/1.24 (define @t1405 () (or @t892 @t871 @t1404)) % 1.03/1.24 (define @t1406 () (forall @t893 @t1405)) % 1.03/1.24 (define @t1407 () (not @t1406)) % 1.03/1.24 (define @t1408 () (lambda @t9 @t1407)) % 1.03/1.24 (define @t1409 () (@list @t4)) % 1.03/1.24 (define @t1410 () (tptp.dsetconstr @t881 @t1408)) % 1.03/1.24 (define @t1411 () (tptp.in @t936 @t1410)) % 1.03/1.24 (define @t1412 () (or @t1390 @t1411)) % 1.03/1.24 (define @t1413 () (forall @t70 @t1412)) % 1.03/1.24 (define @t1414 () (=> @t7 @t1413)) % 1.03/1.24 (define @t1415 () (_ (_ tptp.setadjoin @t862) tptp.emptyset)) % 1.03/1.24 (define @t1416 () (_ tptp.setadjoin @t886)) % 1.03/1.24 (define @t1417 () (_ @t1416 @t1415)) % 1.03/1.24 (define @t1418 () (_ (_ tptp.setadjoin @t1417) tptp.emptyset)) % 1.03/1.24 (define @t1419 () (_ @t1416 tptp.emptyset)) % 1.03/1.24 (define @t1420 () (not (_ (_ tptp.in @t862) @t1))) % 1.03/1.24 (define @t1421 () (lambda @t9 (not (forall @t893 (or (not (_ (_ tptp.in @t886) @t2)) @t1420 (not (= @t4 (_ (_ tptp.setadjoin @t1419) @t1418)))))))) % 1.03/1.24 (define @t1422 () (_ @t850 @t1421)) % 1.03/1.24 (define @t1423 () (_ tptp.in @t936)) % 1.03/1.24 (define @t1424 () (_ tptp.dsetconstr @t881)) % 1.03/1.24 (define @t1425 () (not @t351)) % 1.03/1.24 (define @t1426 () (_ @t657 (_ @t850 @t1408))) % 1.03/1.24 (define @t1427 () (or @t1425 @t1426)) % 1.03/1.24 (define @t1428 () (_ @t850 @t878)) % 1.03/1.24 (define @t1429 () (=> @t351 (_ @t657 @t1428))) % 1.03/1.24 (define @t1430 () (lambda @t41 @t1428)) % 1.03/1.24 (define @t1431 () (_ (lambda @t12 @t1428) @t2)) % 1.03/1.24 (define @t1432 () (lambda @t70 @t617)) % 1.03/1.24 (define @t1433 () (_ @t841 @t4)) % 1.03/1.24 (define @t1434 () (_ @t1431 @t1)) % 1.03/1.24 (define @t1435 () (_ @t1433 @t19)) % 1.03/1.24 (define @t1436 () (_ tptp.in @t1435)) % 1.03/1.24 (define @t1437 () (=> @t351 (_ @t1436 @t1434))) % 1.03/1.24 (define @t1438 () (forall @t70 @t1437)) % 1.03/1.24 (define @t1439 () (=> @t7 @t1438)) % 1.03/1.24 (define @t1440 () (forall @t245 @t1439)) % 1.03/1.24 (define @t1441 () (or @t871 @t869)) % 1.03/1.24 (define @t1442 () (or @t873 @t1441)) % 1.03/1.24 (define @t1443 () (forall @t875 @t1442)) % 1.03/1.24 (define @t1444 () (@list @t862)) % 1.03/1.24 (define @t1445 () (forall @t1444 @t1442)) % 1.03/1.24 (define @t1446 () (forall @t1444 @t1441)) % 1.03/1.24 (define @t1447 () (or @t873 @t1446)) % 1.03/1.24 (define @t1448 () (tptp.setadjoin @t289 tptp.emptyset)) % 1.03/1.24 (define @t1449 () (tptp.setadjoin @t19 @t1448)) % 1.03/1.24 (define @t1450 () (tptp.setadjoin @t1449 tptp.emptyset)) % 1.03/1.24 (define @t1451 () (tptp.setadjoin @t866 @t1450)) % 1.03/1.24 (define @t1452 () (tptp.in @t289 @t1)) % 1.03/1.24 (define @t1453 () (forall @t845 (or (not @t1452) (not (= @t4 @t1451))))) % 1.03/1.24 (define @t1454 () (not @t21)) % 1.03/1.24 (define @t1455 () (or @t1454 @t1453)) % 1.03/1.24 (define @t1456 () (not @t1453)) % 1.03/1.24 (define @t1457 () (and @t21 @t1456)) % 1.03/1.24 (define @t1458 () (forall @t70 (not @t1457))) % 1.03/1.24 (define @t1459 () (not @t1458)) % 1.03/1.24 (define @t1460 () (_ (_ tptp.setadjoin @t289) tptp.emptyset)) % 1.03/1.24 (define @t1461 () (_ @t274 @t1460)) % 1.03/1.24 (define @t1462 () (_ (_ tptp.setadjoin @t1461) tptp.emptyset)) % 1.03/1.24 (define @t1463 () (_ tptp.setadjoin @t275)) % 1.03/1.24 (define @t1464 () (_ @t1463 @t1462)) % 1.03/1.24 (define @t1465 () (= @t4 @t1464)) % 1.03/1.24 (define @t1466 () (not @t1465)) % 1.03/1.24 (define @t1467 () (not @t843)) % 1.03/1.24 (define @t1468 () (or @t1467 @t1466)) % 1.03/1.24 (define @t1469 () (and @t843 @t1465)) % 1.03/1.24 (define @t1470 () (forall @t845 (not @t1469))) % 1.03/1.24 (define @t1471 () (not @t1470)) % 1.03/1.24 (define @t1472 () (@var "BOUND_VARIABLE_8445" $$unsorted)) % 1.03/1.24 (define @t1473 () (_ (_ tptp.setadjoin @t1472) tptp.emptyset)) % 1.03/1.24 (define @t1474 () (lambda (@list @t1472) (_ @t1463 (_ (_ tptp.setadjoin (_ @t274 @t1473)) tptp.emptyset)))) % 1.03/1.24 (define @t1475 () (= @t4 (_ (_ @t841 @t19) @t289))) % 1.03/1.24 (define @t1476 () (and @t843 @t1475)) % 1.03/1.24 (define @t1477 () (exists @t845 @t1476)) % 1.03/1.24 (define @t1478 () (and @t21 @t1477)) % 1.03/1.24 (define @t1479 () (exists @t70 @t1478)) % 1.03/1.24 (define @t1480 () (=> tptp.cartprodpairin @t884)) % 1.03/1.24 (define @t1481 () (or @t903 @t902)) % 1.03/1.24 (define @t1482 () (or @t858 @t1481)) % 1.03/1.24 (define @t1483 () (forall @t905 @t1482)) % 1.03/1.24 (define @t1484 () (@list @t901)) % 1.03/1.24 (define @t1485 () (forall @t1484 @t1482)) % 1.03/1.24 (define @t1486 () (forall @t1484 @t1481)) % 1.03/1.24 (define @t1487 () (or @t858 @t1486)) % 1.03/1.24 (define @t1488 () (tptp.in @t936 @t881)) % 1.03/1.24 (define @t1489 () (forall @t70 (or @t1390 @t1488))) % 1.03/1.24 (define @t1490 () (or @t197 @t1489)) % 1.03/1.24 (define @t1491 () (or @t1425 @t658)) % 1.03/1.24 (define @t1492 () (=> @t351 (_ @t1436 @t656))) % 1.03/1.24 (define @t1493 () (forall @t70 @t1492)) % 1.03/1.24 (define @t1494 () (=> @t7 @t1493)) % 1.03/1.24 (define @t1495 () (forall @t245 @t1494)) % 1.03/1.24 (define @t1496 () (=> tptp.ubforcartprodlem3 @t1480)) % 1.03/1.24 (define @t1497 () (=> tptp.ubforcartprodlem2 @t1496)) % 1.03/1.24 (define @t1498 () (or @t909 @t908)) % 1.03/1.24 (define @t1499 () (or @t858 @t1498)) % 1.03/1.24 (define @t1500 () (forall @t911 @t1499)) % 1.03/1.24 (define @t1501 () (@list @t907)) % 1.03/1.24 (define @t1502 () (forall @t1501 @t1499)) % 1.03/1.24 (define @t1503 () (forall @t1501 @t1498)) % 1.03/1.24 (define @t1504 () (or @t858 @t1503)) % 1.03/1.24 (define @t1505 () (tptp.subset @t936 @t880)) % 1.03/1.24 (define @t1506 () (forall @t70 (or @t1390 @t1505))) % 1.03/1.24 (define @t1507 () (or @t197 @t1506)) % 1.03/1.24 (define @t1508 () (or @t1425 @t651)) % 1.03/1.24 (define @t1509 () (=> tptp.ubforcartprodlem1 @t1497)) % 1.03/1.24 (define @t1510 () (or @t914 @t913)) % 1.03/1.24 (define @t1511 () (or @t858 @t1510)) % 1.03/1.24 (define @t1512 () (forall @t916 @t1511)) % 1.03/1.24 (define @t1513 () (@list @t912)) % 1.03/1.24 (define @t1514 () (forall @t1513 @t1511)) % 1.03/1.24 (define @t1515 () (forall @t1513 @t1510)) % 1.03/1.24 (define @t1516 () (or @t858 @t1515)) % 1.03/1.24 (define @t1517 () (tptp.in @t924 @t880)) % 1.03/1.24 (define @t1518 () (forall @t70 (or @t1390 @t1517))) % 1.03/1.24 (define @t1519 () (or @t197 @t1518)) % 1.03/1.24 (define @t1520 () (or @t1425 @t646)) % 1.03/1.24 (define @t1521 () (=> tptp.upairinpowunion @t1509)) % 1.03/1.24 (define @t1522 () (or @t919 @t918)) % 1.03/1.24 (define @t1523 () (or @t858 @t1522)) % 1.03/1.24 (define @t1524 () (forall @t921 @t1523)) % 1.03/1.24 (define @t1525 () (@list @t917)) % 1.03/1.24 (define @t1526 () (forall @t1525 @t1523)) % 1.03/1.24 (define @t1527 () (forall @t1525 @t1522)) % 1.03/1.24 (define @t1528 () (or @t858 @t1527)) % 1.03/1.24 (define @t1529 () (tptp.subset @t924 @t879)) % 1.03/1.24 (define @t1530 () (forall @t70 (or @t1390 @t1529))) % 1.03/1.24 (define @t1531 () (or @t197 @t1530)) % 1.03/1.24 (define @t1532 () (or @t1425 @t641)) % 1.03/1.24 (define @t1533 () (=> tptp.upairsubunion @t1521)) % 1.03/1.24 (define @t1534 () (not @t293)) % 1.03/1.24 (define @t1535 () (or @t1534 @t923 @t922)) % 1.03/1.24 (define @t1536 () (or @t923 @t922)) % 1.03/1.24 (define @t1537 () (=> tptp.upairset2E @t1533)) % 1.03/1.24 (define @t1538 () (_ tptp.in @t853)) % 1.03/1.24 (define @t1539 () (or @t197 @t638)) % 1.03/1.24 (define @t1540 () (=> tptp.singletoninpowunion @t1537)) % 1.03/1.24 (define @t1541 () (or @t197 @t634)) % 1.03/1.24 (define @t1542 () (=> tptp.singletoninpowerset @t1540)) % 1.03/1.24 (define @t1543 () (or @t197 @t630)) % 1.03/1.24 (define @t1544 () (=> tptp.singletonsubset @t1542)) % 1.03/1.24 (define @t1545 () (= @t617 @t934)) % 1.03/1.24 (define @t1546 () (not @t1545)) % 1.03/1.24 (define @t1547 () (tptp.setunion @t617)) % 1.03/1.24 (define @t1548 () (tptp.in @t931 @t1547)) % 1.03/1.24 (define @t1549 () (not @t1548)) % 1.03/1.24 (define @t1550 () (tptp.in @t933 @t1547)) % 1.03/1.24 (define @t1551 () (not @t1550)) % 1.03/1.24 (define @t1552 () (or @t1551 @t1549 @t1546)) % 1.03/1.24 (define @t1553 () (forall @t938 @t1552)) % 1.03/1.24 (define @t1554 () (not @t1553)) % 1.03/1.24 (define @t1555 () (not (tptp.in @t931 @t1110))) % 1.03/1.24 (define @t1556 () (not (= @t2 (tptp.setadjoin @t853 (tptp.setadjoin (tptp.setadjoin @t4 @t932) tptp.emptyset))))) % 1.03/1.24 (define @t1557 () (or @t1120 @t1555 @t1556)) % 1.03/1.24 (define @t1558 () (@list @t4 @t931)) % 1.03/1.24 (define @t1559 () (forall @t1558 @t1557)) % 1.03/1.24 (define @t1560 () (not @t1559)) % 1.03/1.24 (define @t1561 () (lambda @t64 @t1560)) % 1.03/1.24 (define @t1562 () (forall @t135 (_ @t1561 @t1435))) % 1.03/1.24 (define @t1563 () (or @t1555 @t1556)) % 1.03/1.24 (define @t1564 () (or @t1120 @t1563)) % 1.03/1.24 (define @t1565 () (forall @t1558 @t1564)) % 1.03/1.24 (define @t1566 () (@list @t931)) % 1.03/1.24 (define @t1567 () (forall @t1566 @t1564)) % 1.03/1.24 (define @t1568 () (forall @t1566 @t1563)) % 1.03/1.24 (define @t1569 () (or @t1120 @t1568)) % 1.03/1.24 (define @t1570 () (tptp.in @t19 @t1110)) % 1.03/1.24 (define @t1571 () (forall @t70 (or (not @t1570) (not (= @t2 @t936))))) % 1.03/1.24 (define @t1572 () (not @t44)) % 1.03/1.24 (define @t1573 () (or @t1572 @t1571)) % 1.03/1.24 (define @t1574 () (not @t1571)) % 1.03/1.24 (define @t1575 () (and @t44 @t1574)) % 1.03/1.24 (define @t1576 () (forall @t9 (not @t1575))) % 1.03/1.24 (define @t1577 () (not @t1576)) % 1.03/1.24 (define @t1578 () (not @t834)) % 1.03/1.24 (define @t1579 () (not @t835)) % 1.03/1.24 (define @t1580 () (or @t1579 @t1578)) % 1.03/1.24 (define @t1581 () (forall @t70 (not @t836))) % 1.03/1.24 (define @t1582 () (not @t1581)) % 1.03/1.24 (define @t1583 () (=> tptp.kpairp @t1544)) % 1.03/1.24 (define @t1584 () (forall @t135 (_ @t1561 @t617))) % 1.03/1.24 (define @t1585 () (=> tptp.kpairiskpair @t1583)) % 1.03/1.24 (define @t1586 () (=> tptp.setukpairIR @t1585)) % 1.03/1.24 (define @t1587 () (=> tptp.setukpairIL @t1586)) % 1.03/1.24 (define @t1588 () (=> tptp.secondinupair @t1587)) % 1.03/1.24 (define @t1589 () (or @t7 @t6 @t608)) % 1.03/1.24 (define @t1590 () (not @t434)) % 1.03/1.24 (define @t1591 () (not @t197)) % 1.03/1.24 (define @t1592 () (=> tptp.symdiffIneg2 @t1588)) % 1.03/1.24 (define @t1593 () (or @t197 @t434 @t608)) % 1.03/1.24 (define @t1594 () (=> tptp.symdiffIneg1 @t1592)) % 1.03/1.24 (define @t1595 () (or @t7 @t434 @t598)) % 1.03/1.24 (define @t1596 () (=> tptp.symdiffI2 @t1594)) % 1.03/1.24 (define @t1597 () (or @t197 @t6 @t598)) % 1.03/1.24 (define @t1598 () (=> tptp.symdiffI1 @t1596)) % 1.03/1.24 (define @t1599 () (or @t608 @t950 @t949)) % 1.03/1.24 (define @t1600 () (or @t950 @t949)) % 1.03/1.24 (define @t1601 () (not false)) % 1.03/1.24 (define @t1602 () (and @t858 @t947 @t1601)) % 1.03/1.24 (define @t1603 () (and @t857 @t948 @t1601)) % 1.03/1.24 (define @t1604 () (or @t1603 @t1602)) % 1.03/1.24 (define @t1605 () (or @t1603 @t1602 false)) % 1.03/1.24 (define @t1606 () (not @t173)) % 1.03/1.24 (define @t1607 () (and @t858 @t947 @t1606)) % 1.03/1.24 (define @t1608 () (and @t857 @t948 @t1606)) % 1.03/1.24 (define @t1609 () (not (= @t173 false))) % 1.03/1.24 (define @t1610 () (or @t173 @t1608 @t1607 @t173)) % 1.03/1.24 (define @t1611 () (or @t1608 @t1607 @t173)) % 1.03/1.24 (define @t1612 () (and @t197 @t6 @t1606)) % 1.03/1.24 (define @t1613 () (and @t7 @t434 @t1606)) % 1.03/1.24 (define @t1614 () (or @t1613 @t1612 @t173)) % 1.03/1.24 (define @t1615 () (and @t6 @t1606)) % 1.03/1.24 (define @t1616 () (not @t497)) % 1.03/1.24 (define @t1617 () (=> tptp.symdiffE @t1598)) % 1.03/1.24 (define @t1618 () (= tptp.emptyset @t564)) % 1.03/1.24 (define @t1619 () (not @t1618)) % 1.03/1.24 (define @t1620 () (or @t1619 @t419)) % 1.03/1.24 (define @t1621 () (=> tptp.setminusSubset1 @t1617)) % 1.03/1.24 (define @t1622 () (=> tptp.setminusLsub @t1621)) % 1.03/1.24 (define @t1623 () (or @t434 @t577)) % 1.03/1.24 (define @t1624 () (=> tptp.setminusIRneg @t1622)) % 1.03/1.24 (define @t1625 () (or @t7 @t577)) % 1.03/1.24 (define @t1626 () (=> tptp.setminusILneg @t1624)) % 1.03/1.24 (define @t1627 () (or @t565 @t6 @t197)) % 1.03/1.24 (define @t1628 () (or @t6 @t197)) % 1.03/1.24 (define @t1629 () (not @t577)) % 1.03/1.24 (define @t1630 () (=> tptp.setminusELneg @t1626)) % 1.03/1.24 (define @t1631 () (or @t565 @t197 @t6)) % 1.03/1.24 (define @t1632 () (or @t197 @t6)) % 1.03/1.24 (define @t1633 () (=> tptp.setminusERneg @t1630)) % 1.03/1.24 (define @t1634 () (or @t438 @t1618)) % 1.03/1.24 (define @t1635 () (=> tptp.setminusSubset2 @t1633)) % 1.03/1.24 (define @t1636 () (or @t577 @t434)) % 1.03/1.24 (define @t1637 () (=> tptp.setminusER @t1635)) % 1.03/1.24 (define @t1638 () (or @t577 @t7)) % 1.03/1.24 (define @t1639 () (=> tptp.setminusEL @t1637)) % 1.03/1.24 (define @t1640 () (or @t197 @t6 @t565)) % 1.03/1.24 (define @t1641 () (=> tptp.setminusI @t1639)) % 1.03/1.24 (define @t1642 () (=> tptp.bs114d @t1641)) % 1.03/1.24 (define @t1643 () (= @t2 @t514)) % 1.03/1.24 (define @t1644 () (not @t1643)) % 1.03/1.24 (define @t1645 () (or @t1644 @t419)) % 1.03/1.24 (define @t1646 () (=> tptp.binintersectSubset1 @t1642)) % 1.03/1.24 (define @t1647 () (= @t1 @t514)) % 1.03/1.24 (define @t1648 () (not @t424)) % 1.03/1.24 (define @t1649 () (or @t1648 @t1647)) % 1.03/1.24 (define @t1650 () (=> tptp.binintersectSubset4 @t1646)) % 1.03/1.24 (define @t1651 () (_ tptp.subset @t959)) % 1.03/1.24 (define @t1652 () (=> tptp.binintersectRsub @t1650)) % 1.03/1.24 (define @t1653 () (= tptp.emptyset @t514)) % 1.03/1.24 (define @t1654 () (or @t969 @t1653)) % 1.03/1.24 (define @t1655 () (or @t197 @t434)) % 1.03/1.24 (define @t1656 () (forall @t9 (not @t542))) % 1.03/1.24 (define @t1657 () (not @t1656)) % 1.03/1.24 (define @t1658 () (=> tptp.disjointsetsI1 @t1652)) % 1.03/1.24 (define @t1659 () (not @t515)) % 1.03/1.24 (define @t1660 () (or @t1659 @t6)) % 1.03/1.24 (define @t1661 () (=> tptp.binintersectER @t1658)) % 1.03/1.24 (define @t1662 () (not @t1647)) % 1.03/1.24 (define @t1663 () (or @t1662 @t424)) % 1.03/1.24 (define @t1664 () (=> tptp.binintersectSubset3 @t1661)) % 1.03/1.24 (define @t1665 () (or @t438 @t1643)) % 1.03/1.24 (define @t1666 () (=> tptp.binintersectSubset2 @t1664)) % 1.03/1.24 (define @t1667 () (=> tptp.binintersectLsub @t1666)) % 1.03/1.24 (define @t1668 () (or @t1659 @t7)) % 1.03/1.24 (define @t1669 () (=> tptp.binintersectEL @t1667)) % 1.03/1.24 (define @t1670 () (not @t521)) % 1.03/1.24 (define @t1671 () (not @t523)) % 1.03/1.24 (define @t1672 () (or @t1671 @t1670 @t520)) % 1.03/1.24 (define @t1673 () (=> tptp.binintersectSubset5 @t1669)) % 1.03/1.24 (define @t1674 () (or @t197 @t434 @t515)) % 1.03/1.24 (define @t1675 () (=> tptp.binintersectI @t1673)) % 1.03/1.24 (define @t1676 () (=> tptp.binunionRsub @t1675)) % 1.03/1.24 (define @t1677 () (=> tptp.binunionLsub @t1676)) % 1.03/1.24 (define @t1678 () (not @t492)) % 1.03/1.24 (define @t1679 () (or @t1678 @t7 @t6)) % 1.03/1.24 (define @t1680 () (=> tptp.binunionE @t1677)) % 1.03/1.24 (define @t1681 () (and @t947 @t1601)) % 1.03/1.24 (define @t1682 () (and @t857 @t1601)) % 1.03/1.24 (define @t1683 () (or @t979 @t1682 @t1681)) % 1.03/1.24 (define @t1684 () (or @t979 @t1682 @t1681 false)) % 1.03/1.24 (define @t1685 () (and @t947 @t1606)) % 1.03/1.24 (define @t1686 () (and @t857 @t1606)) % 1.03/1.24 (define @t1687 () (or @t173 @t979 @t1686 @t1685 @t173)) % 1.03/1.24 (define @t1688 () (or @t979 @t1686 @t1685 @t173)) % 1.03/1.24 (define @t1689 () (forall @t179 @t1688)) % 1.03/1.24 (define @t1690 () (forall @t245 @t1689)) % 1.03/1.24 (define @t1691 () (and @t7 @t1606)) % 1.03/1.24 (define @t1692 () (or @t1678 @t1691 @t1615 @t173)) % 1.03/1.24 (define @t1693 () (or @t1691 @t1615 @t173)) % 1.03/1.24 (define @t1694 () (=> tptp.binunionEcases @t1680)) % 1.03/1.24 (define @t1695 () (or @t434 @t492)) % 1.03/1.24 (define @t1696 () (=> tptp.binunionIR @t1694)) % 1.03/1.24 (define @t1697 () (=> tptp.upairset2IR @t1696)) % 1.03/1.24 (define @t1698 () (or @t197 @t492)) % 1.03/1.24 (define @t1699 () (=> tptp.binunionIL @t1697)) % 1.03/1.24 (define @t1700 () (lambda @t9 @t1048)) % 1.03/1.24 (define @t1701 () (tptp.dsetconstr @t2 @t1700)) % 1.03/1.24 (define @t1702 () (tptp.subset @t1701 @t2)) % 1.03/1.24 (define @t1703 () (=> tptp.sepSubset @t1699)) % 1.03/1.24 (define @t1704 () (tptp.in @t1701 @t928)) % 1.03/1.24 (define @t1705 () (=> tptp.sepInPowerset @t1703)) % 1.03/1.24 (define @t1706 () (or @t438 @t482)) % 1.03/1.24 (define @t1707 () (=> tptp.powersetsubset @t1705)) % 1.03/1.24 (define @t1708 () (=> tptp.inPowerset @t1707)) % 1.03/1.24 (define @t1709 () (not @t35)) % 1.03/1.24 (define @t1710 () (or @t1709 @t424)) % 1.03/1.24 (define @t1711 () (=> tptp.powersetE1 @t1708)) % 1.03/1.24 (define @t1712 () (or @t1648 @t35)) % 1.03/1.24 (define @t1713 () (=> tptp.powersetI1 @t1711)) % 1.03/1.24 (define @t1714 () (not @t472)) % 1.03/1.24 (define @t1715 () (or @t1714 @t196)) % 1.03/1.24 (define @t1716 () (=> tptp.subsetemptysetimpeq @t1713)) % 1.03/1.24 (define @t1717 () (or @t438 @t1648 @t3)) % 1.03/1.24 (define @t1718 () (=> tptp.setextsub @t1716)) % 1.03/1.24 (define @t1719 () (or @t438 @t466)) % 1.03/1.24 (define @t1720 () (=> tptp.subset2powerset @t1718)) % 1.03/1.24 (define @t1721 () (or @t438 @t462)) % 1.03/1.24 (define @t1722 () (=> tptp.setadjoinSub2 @t1720)) % 1.03/1.24 (define @t1723 () (=> tptp.setadjoinSub @t1722)) % 1.03/1.24 (define @t1724 () (not @t452)) % 1.03/1.24 (define @t1725 () (or @t438 @t1724 @t451)) % 1.03/1.24 (define @t1726 () (=> tptp.subsetTrans @t1723)) % 1.03/1.24 (define @t1727 () (=> tptp.subsetRefl @t1726)) % 1.03/1.24 (define @t1728 () (@list @t1 @t4)) % 1.03/1.24 (define @t1729 () (or @t948 @t947)) % 1.03/1.24 (define @t1730 () (not true)) % 1.03/1.24 (define @t1731 () (not (= @t1 @t1))) % 1.03/1.24 (define @t1732 () (or @t948 @t947 @t1731)) % 1.03/1.24 (define @t1733 () (or @t442 @t858 @t947 @t442)) % 1.03/1.24 (define @t1734 () (or @t858 @t947 @t442)) % 1.03/1.24 (define @t1735 () (forall @t64 @t1734)) % 1.03/1.24 (define @t1736 () (forall @t1728 @t1735)) % 1.03/1.24 (define @t1737 () (forall (@list @t1 @t4 @t2) @t1734)) % 1.03/1.24 (define @t1738 () (or @t197 @t6 @t442)) % 1.03/1.24 (define @t1739 () (=> tptp.notequalI2 @t1727)) % 1.03/1.24 (define @t1740 () (or @t997 @t1731)) % 1.03/1.24 (define @t1741 () (or @t442 @t951 @t442)) % 1.03/1.24 (define @t1742 () (or @t951 @t442)) % 1.03/1.24 (define @t1743 () (forall @t64 @t1742)) % 1.03/1.24 (define @t1744 () (forall @t41 @t1743)) % 1.03/1.24 (define @t1745 () (@list @t1 @t2)) % 1.03/1.24 (define @t1746 () (forall @t1745 @t1742)) % 1.03/1.24 (define @t1747 () (or @t419 @t442)) % 1.03/1.24 (define @t1748 () (=> tptp.notequalI1 @t1739)) % 1.03/1.24 (define @t1749 () (or @t197 @t6 @t438)) % 1.03/1.24 (define @t1750 () (=> tptp.notsubsetI @t1748)) % 1.03/1.24 (define @t1751 () (or @t438 @t6 @t197)) % 1.03/1.24 (define @t1752 () (=> tptp.subsetE2 @t1750)) % 1.03/1.24 (define @t1753 () (or @t438 @t197 @t6)) % 1.03/1.24 (define @t1754 () (=> tptp.subsetE @t1752)) % 1.03/1.24 (define @t1755 () (=> tptp.emptysetsubset @t1754)) % 1.03/1.24 (define @t1756 () (or @t1005 @t419)) % 1.03/1.24 (define @t1757 () (=> tptp.subsetI2 @t1755)) % 1.03/1.24 (define @t1758 () (or @t1731 @t997)) % 1.03/1.24 (define @t1759 () (or @t442 @t442 @t951)) % 1.03/1.24 (define @t1760 () (or @t442 @t951)) % 1.03/1.24 (define @t1761 () (forall @t64 @t1760)) % 1.03/1.24 (define @t1762 () (forall @t41 @t1761)) % 1.03/1.24 (define @t1763 () (forall @t1745 @t1760)) % 1.03/1.24 (define @t1764 () (or @t442 @t419)) % 1.03/1.24 (define @t1765 () (=> tptp.eqimpsubset1 @t1757)) % 1.03/1.24 (define @t1766 () (or @t442 @t442 @t965)) % 1.03/1.24 (define @t1767 () (or @t442 @t965)) % 1.03/1.24 (define @t1768 () (forall @t64 @t1767)) % 1.03/1.24 (define @t1769 () (forall @t41 @t1768)) % 1.03/1.24 (define @t1770 () (forall @t1745 @t1767)) % 1.03/1.24 (define @t1771 () (or @t442 @t424)) % 1.03/1.24 (define @t1772 () (=> tptp.eqimpsubset2 @t1765)) % 1.03/1.24 (define @t1773 () (=> tptp.subsetI1 @t1772)) % 1.03/1.24 (define @t1774 () (or @t948 @t948 @t1012)) % 1.03/1.24 (define @t1775 () (forall @t9 @t1774)) % 1.03/1.24 (define @t1776 () (not @t1775)) % 1.03/1.24 (define @t1777 () (or @t1731 @t1776 (= @t1008 @t1010))) % 1.03/1.24 (define @t1778 () (= (tptp.dsetconstr @t2 @t1007) @t1010)) % 1.03/1.24 (define @t1779 () (not (forall @t9 (or @t858 @t948 @t1012)))) % 1.03/1.24 (define @t1780 () (or @t442 @t442 @t1779 @t1778)) % 1.03/1.24 (define @t1781 () (or @t442 @t1779 @t1778)) % 1.03/1.24 (define @t1782 () (forall @t64 @t1781)) % 1.03/1.24 (define @t1783 () (forall @t1016 @t1782)) % 1.03/1.24 (define @t1784 () (forall (@list @t1 @t1007 @t1009 @t2) @t1781)) % 1.03/1.24 (define @t1785 () (@list @t2 @t1 @t1007 @t1009)) % 1.03/1.24 (define @t1786 () (or @t1779 @t1778)) % 1.03/1.24 (define @t1787 () (or @t442 @t1786)) % 1.03/1.24 (define @t1788 () (forall @t1785 @t1787)) % 1.03/1.24 (define @t1789 () (@list @t1007 @t1009)) % 1.03/1.24 (define @t1790 () (forall @t1789 @t1787)) % 1.03/1.24 (define @t1791 () (forall @t1789 @t1786)) % 1.03/1.24 (define @t1792 () (or @t442 @t1791)) % 1.03/1.24 (define @t1793 () (= @t1048 @t1043)) % 1.03/1.24 (define @t1794 () (forall @t9 (or @t858 @t948 @t1793))) % 1.03/1.24 (define @t1795 () (not @t1794)) % 1.03/1.24 (define @t1796 () (forall @t375 (or @t1795 (= @t981 (tptp.dsetconstr @t1 @t365))))) % 1.03/1.24 (define @t1797 () (lambda @t9 @t1043)) % 1.03/1.24 (define @t1798 () (tptp.dsetconstr @t1 @t1797)) % 1.03/1.24 (define @t1799 () (= @t1701 @t1798)) % 1.03/1.24 (define @t1800 () (or @t1795 @t1799)) % 1.03/1.24 (define @t1801 () (or @t1795 @t409)) % 1.03/1.24 (define @t1802 () (or @t197 @t948 @t1793)) % 1.03/1.24 (define @t1803 () (or @t948 @t1793)) % 1.03/1.24 (define @t1804 () (not (= @t4 @t4))) % 1.03/1.24 (define @t1805 () (or @t948 @t1804 @t1793)) % 1.03/1.24 (define @t1806 () (= @t1048 @t1019)) % 1.03/1.24 (define @t1807 () (or @t282 @t1390 @t282 @t1806)) % 1.03/1.24 (define @t1808 () (or @t1390 @t282 @t1806)) % 1.03/1.24 (define @t1809 () (or @t1425 @t282 @t371)) % 1.03/1.24 (define @t1810 () (or @t282 @t371)) % 1.03/1.24 (define @t1811 () (=> tptp.dsetconstr__Cong @t1773)) % 1.03/1.24 (define @t1812 () (or @t1020 (= @t1018 @t19))) % 1.03/1.24 (define @t1813 () (forall @t70 @t1812)) % 1.03/1.24 (define @t1814 () (not @t1813)) % 1.03/1.24 (define @t1815 () (or @t1024 (= @t1022 @t19))) % 1.03/1.24 (define @t1816 () (forall @t70 @t1815)) % 1.03/1.24 (define @t1817 () (not @t1816)) % 1.03/1.24 (define @t1818 () (or @t1030 @t1027 @t1025 @t1817 @t1021 @t1814)) % 1.03/1.24 (define @t1819 () (or @t1021 @t1814)) % 1.03/1.24 (define @t1820 () (or @t1025 @t1817)) % 1.03/1.24 (define @t1821 () (or @t1030 @t1820 @t1819 @t1027)) % 1.03/1.24 (define @t1822 () (forall @t1031 @t1821)) % 1.03/1.24 (define @t1823 () (forall (@list @t1022 @t1018) @t1821)) % 1.03/1.24 (define @t1824 () (forall (@list @t1018) @t1819)) % 1.03/1.24 (define @t1825 () (forall (@list @t1022) @t1820)) % 1.03/1.24 (define @t1826 () (or @t1030 @t1825 @t1824 @t1027)) % 1.03/1.24 (define @t1827 () (tptp.descr @t1797)) % 1.03/1.24 (define @t1828 () (tptp.descr @t1700)) % 1.03/1.24 (define @t1829 () (= @t1828 @t1827)) % 1.03/1.24 (define @t1830 () (or @t1030 @t1050 @t1044 @t1829)) % 1.03/1.24 (define @t1831 () (or @t1030 @t1050 @t1044 @t401)) % 1.03/1.24 (define @t1832 () (or @t1050 @t1044 @t401)) % 1.03/1.24 (define @t1833 () (=> @t1045 @t401)) % 1.03/1.24 (define @t1834 () (not @t1051)) % 1.03/1.24 (define @t1835 () (=> @t1051 @t1833)) % 1.03/1.24 (define @t1836 () (not @t366)) % 1.03/1.24 (define @t1837 () (or @t1836 @t1042)) % 1.03/1.24 (define @t1838 () (not @t370)) % 1.03/1.24 (define @t1839 () (or @t1838 @t129)) % 1.03/1.24 (define @t1840 () (_ @t367 @t19)) % 1.03/1.24 (define @t1841 () (not @t1840)) % 1.03/1.24 (define @t1842 () (or @t1841 @t129)) % 1.03/1.24 (define @t1843 () (forall @t70 @t1842)) % 1.03/1.24 (define @t1844 () (not @t1843)) % 1.03/1.24 (define @t1845 () (_ @t367 @t4)) % 1.03/1.24 (define @t1846 () (not @t1845)) % 1.03/1.24 (define @t1847 () (or @t1846 @t1844)) % 1.03/1.24 (define @t1848 () (forall @t9 @t1847)) % 1.03/1.24 (define @t1849 () (not @t1848)) % 1.03/1.24 (define @t1850 () (lambda @t150 @t1051)) % 1.03/1.24 (define @t1851 () (_ @t1850 @t367)) % 1.03/1.24 (define @t1852 () (=> @t1851 @t401)) % 1.03/1.24 (define @t1853 () (or @t315 @t1047)) % 1.03/1.24 (define @t1854 () (not @t153)) % 1.03/1.24 (define @t1855 () (or @t1854 @t129)) % 1.03/1.24 (define @t1856 () (_ @t145 @t19)) % 1.03/1.24 (define @t1857 () (not @t1856)) % 1.03/1.24 (define @t1858 () (or @t1857 @t129)) % 1.03/1.24 (define @t1859 () (forall @t70 @t1858)) % 1.03/1.24 (define @t1860 () (not @t1859)) % 1.03/1.24 (define @t1861 () (_ @t145 @t4)) % 1.03/1.24 (define @t1862 () (not @t1861)) % 1.03/1.24 (define @t1863 () (or @t1862 @t1860)) % 1.03/1.24 (define @t1864 () (forall @t9 @t1863)) % 1.03/1.24 (define @t1865 () (not @t1864)) % 1.03/1.24 (define @t1866 () (_ @t1850 @t145)) % 1.03/1.24 (define @t1867 () (=> @t1866 @t1852)) % 1.03/1.24 (define @t1868 () (not (= @t19 @t19))) % 1.03/1.24 (define @t1869 () (or @t1868 @t1028)) % 1.03/1.24 (define @t1870 () (or @t282 @t282 @t1806)) % 1.03/1.24 (define @t1871 () (or @t282 @t1806)) % 1.03/1.24 (define @t1872 () (forall @t9 @t1871)) % 1.03/1.24 (define @t1873 () (forall @t70 @t1872)) % 1.03/1.24 (define @t1874 () (@list @t19 @t4)) % 1.03/1.24 (define @t1875 () (forall @t1874 @t1871)) % 1.03/1.24 (define @t1876 () (=> @t373 @t1867)) % 1.03/1.24 (define @t1877 () (forall @t375 @t1876)) % 1.03/1.24 (define @t1878 () (and @t144 @t1046)) % 1.03/1.24 (define @t1879 () (forall @t9 (not @t1878))) % 1.03/1.24 (define @t1880 () (not @t1879)) % 1.03/1.24 (define @t1881 () (=> tptp.descr__Cong @t1811)) % 1.03/1.24 (define @t1882 () (or @t1024 (= @t1038 @t19))) % 1.03/1.24 (define @t1883 () (forall @t70 @t1882)) % 1.03/1.24 (define @t1884 () (not @t1883)) % 1.03/1.24 (define @t1885 () (or @t1039 @t1884 @t1037 @t1036 @t1035)) % 1.03/1.24 (define @t1886 () (or @t1037 @t1036 @t1035)) % 1.03/1.24 (define @t1887 () (or @t1039 @t1884)) % 1.03/1.24 (define @t1888 () (or @t1887 @t1886)) % 1.03/1.24 (define @t1889 () (forall @t1040 @t1888)) % 1.03/1.24 (define @t1890 () (forall (@list @t1038 @t1034 @t1033) @t1888)) % 1.03/1.24 (define @t1891 () (forall (@list @t1034 @t1033) @t1886)) % 1.03/1.24 (define @t1892 () (forall (@list @t1038) @t1887)) % 1.03/1.24 (define @t1893 () (or @t1892 @t1891)) % 1.03/1.24 (define @t1894 () (or @t315 @t1854 @t129)) % 1.03/1.24 (define @t1895 () (=> @t1866 @t343)) % 1.03/1.24 (define @t1896 () (forall @t150 @t1895)) % 1.03/1.24 (define @t1897 () (=> tptp.exuEu @t1881)) % 1.03/1.24 (define @t1898 () (=> tptp.omega__Cong @t1897)) % 1.03/1.24 (define @t1899 () (tptp.setunion @t1)) % 1.03/1.24 (define @t1900 () (or @t1731 (= @t1899 @t1899))) % 1.03/1.24 (define @t1901 () (= @t1110 @t1899)) % 1.03/1.24 (define @t1902 () (or @t442 @t442 @t1901)) % 1.03/1.24 (define @t1903 () (or @t442 @t1901)) % 1.03/1.24 (define @t1904 () (forall @t64 @t1903)) % 1.03/1.24 (define @t1905 () (forall @t41 @t1904)) % 1.03/1.24 (define @t1906 () (forall @t1745 @t1903)) % 1.03/1.24 (define @t1907 () (or @t442 @t395)) % 1.03/1.24 (define @t1908 () (=> tptp.setunion__Cong @t1898)) % 1.03/1.24 (define @t1909 () (or @t1731 (= @t982 @t982))) % 1.03/1.24 (define @t1910 () (= @t928 @t982)) % 1.03/1.24 (define @t1911 () (or @t442 @t442 @t1910)) % 1.03/1.24 (define @t1912 () (or @t442 @t1910)) % 1.03/1.24 (define @t1913 () (forall @t64 @t1912)) % 1.03/1.24 (define @t1914 () (forall @t41 @t1913)) % 1.03/1.24 (define @t1915 () (forall @t1745 @t1912)) % 1.03/1.24 (define @t1916 () (or @t442 @t391)) % 1.03/1.24 (define @t1917 () (=> tptp.powerset__Cong @t1908)) % 1.03/1.24 (define @t1918 () (@var "BOUND_VARIABLE_9978" $$unsorted)) % 1.03/1.24 (define @t1919 () (@list @t19 @t1918)) % 1.03/1.24 (define @t1920 () (tptp.setadjoin @t19 @t1918)) % 1.03/1.24 (define @t1921 () (or @t1868 (= @t1920 @t1920))) % 1.03/1.24 (define @t1922 () (= @t1920 (tptp.setadjoin @t4 @t1918))) % 1.03/1.24 (define @t1923 () (or @t282 @t282 @t1922)) % 1.03/1.24 (define @t1924 () (or @t282 @t1922)) % 1.03/1.24 (define @t1925 () (forall @t9 @t1924)) % 1.03/1.24 (define @t1926 () (forall @t1919 @t1925)) % 1.03/1.24 (define @t1927 () (forall (@list @t19 @t1918 @t4) @t1924)) % 1.03/1.24 (define @t1928 () (forall (@list @t4 @t19 @t1918) @t1924)) % 1.03/1.24 (define @t1929 () (@list @t1918)) % 1.03/1.24 (define @t1930 () (forall @t1929 @t1924)) % 1.03/1.24 (define @t1931 () (forall @t1929 @t1922)) % 1.03/1.24 (define @t1932 () (or @t282 @t1931)) % 1.03/1.24 (define @t1933 () (tptp.setadjoin @t4 @t380)) % 1.03/1.24 (define @t1934 () (tptp.setadjoin @t19 @t380)) % 1.03/1.24 (define @t1935 () (= @t1934 @t1933)) % 1.03/1.24 (define @t1936 () (@list @t380)) % 1.03/1.24 (define @t1937 () (forall @t1936 @t1935)) % 1.03/1.24 (define @t1938 () (not (= @t380 @t380))) % 1.03/1.24 (define @t1939 () (or @t1938 (= @t1933 @t1934))) % 1.03/1.24 (define @t1940 () (tptp.setadjoin @t4 @t289)) % 1.03/1.24 (define @t1941 () (= @t1940 @t1934)) % 1.03/1.24 (define @t1942 () (not @t384)) % 1.03/1.24 (define @t1943 () (or @t1942 @t1942 @t1941)) % 1.03/1.24 (define @t1944 () (or @t1942 @t1941)) % 1.03/1.24 (define @t1945 () (forall @t845 @t1944)) % 1.03/1.24 (define @t1946 () (forall @t1936 @t1945)) % 1.03/1.24 (define @t1947 () (forall (@list @t380 @t289) @t1944)) % 1.03/1.24 (define @t1948 () (or @t1942 @t383)) % 1.03/1.24 (define @t1949 () (=> tptp.setadjoin__Cong @t1917)) % 1.03/1.24 (define @t1950 () (=> tptp.emptyset__Cong @t1949)) % 1.03/1.24 (define @t1951 () (= @t1866 @t1851)) % 1.03/1.24 (define @t1952 () (=> @t373 @t1951)) % 1.03/1.24 (define @t1953 () (forall @t375 @t1952)) % 1.03/1.24 (define @t1954 () (=> tptp.exu__Cong @t1950)) % 1.03/1.24 (define @t1955 () (=> tptp.exuE3u @t1954)) % 1.03/1.24 (define @t1956 () (@var "BOUND_VARIABLE_9851" $$unsorted)) % 1.03/1.24 (define @t1957 () (@list @t1 @t1956)) % 1.03/1.24 (define @t1958 () (tptp.in @t1956 @t1)) % 1.03/1.24 (define @t1959 () (or @t1731 (= @t1958 @t1958))) % 1.03/1.24 (define @t1960 () (= (tptp.in @t1956 @t2) @t1958)) % 1.03/1.24 (define @t1961 () (or @t442 @t442 @t1960)) % 1.03/1.24 (define @t1962 () (or @t442 @t1960)) % 1.03/1.24 (define @t1963 () (forall @t64 @t1962)) % 1.03/1.24 (define @t1964 () (forall @t1957 @t1963)) % 1.03/1.24 (define @t1965 () (forall (@list @t1 @t1956 @t2) @t1962)) % 1.03/1.24 (define @t1966 () (forall (@list @t2 @t1 @t1956) @t1962)) % 1.03/1.24 (define @t1967 () (@list @t1956)) % 1.03/1.24 (define @t1968 () (forall @t1967 @t1962)) % 1.03/1.24 (define @t1969 () (forall @t1967 @t1960)) % 1.03/1.24 (define @t1970 () (or @t442 @t1969)) % 1.03/1.24 (define @t1971 () (= @t872 @t1389)) % 1.03/1.24 (define @t1972 () (forall @t70 @t1971)) % 1.03/1.24 (define @t1973 () (or @t1868 @t1971)) % 1.03/1.24 (define @t1974 () (= @t857 @t1389)) % 1.03/1.24 (define @t1975 () (or @t282 @t282 @t1974)) % 1.03/1.24 (define @t1976 () (or @t282 @t1974)) % 1.03/1.24 (define @t1977 () (forall @t9 @t1976)) % 1.03/1.24 (define @t1978 () (forall @t70 @t1977)) % 1.03/1.24 (define @t1979 () (forall @t1874 @t1976)) % 1.03/1.24 (define @t1980 () (or @t282 @t357)) % 1.03/1.24 (define @t1981 () (=> tptp.in__Cong @t1955)) % 1.03/1.24 (define @t1982 () (@var "BOUND_VARIABLE_9814" $$unsorted)) % 1.03/1.24 (define @t1983 () (@list @t1 @t1982)) % 1.03/1.24 (define @t1984 () (tptp.in @t1982 @t1)) % 1.03/1.24 (define @t1985 () (not @t1984)) % 1.03/1.24 (define @t1986 () (or @t1985 @t1984)) % 1.03/1.24 (define @t1987 () (or @t1731 @t1985 @t1984)) % 1.03/1.24 (define @t1988 () (not (tptp.in @t1982 @t2))) % 1.03/1.24 (define @t1989 () (or @t442 @t442 @t1988 @t1984)) % 1.03/1.24 (define @t1990 () (or @t442 @t1988 @t1984)) % 1.03/1.24 (define @t1991 () (forall @t64 @t1990)) % 1.03/1.24 (define @t1992 () (forall @t1983 @t1991)) % 1.03/1.24 (define @t1993 () (forall (@list @t1 @t1982 @t2) @t1990)) % 1.03/1.24 (define @t1994 () (@list @t2 @t1 @t1982)) % 1.03/1.24 (define @t1995 () (or @t1988 @t1984)) % 1.03/1.24 (define @t1996 () (or @t442 @t1995)) % 1.03/1.24 (define @t1997 () (forall @t1994 @t1996)) % 1.03/1.24 (define @t1998 () (@list @t1982)) % 1.03/1.24 (define @t1999 () (forall @t1998 @t1996)) % 1.03/1.24 (define @t2000 () (forall @t1998 @t1995)) % 1.03/1.24 (define @t2001 () (or @t442 @t2000)) % 1.03/1.24 (define @t2002 () (or @t873 @t1389)) % 1.03/1.24 (define @t2003 () (forall @t70 @t2002)) % 1.03/1.24 (define @t2004 () (or @t1868 @t873 @t1389)) % 1.03/1.24 (define @t2005 () (or @t282 @t282 @t858 @t1389)) % 1.03/1.24 (define @t2006 () (or @t282 @t858 @t1389)) % 1.03/1.24 (define @t2007 () (forall @t9 @t2006)) % 1.03/1.24 (define @t2008 () (forall @t70 @t2007)) % 1.03/1.24 (define @t2009 () (forall @t1874 @t2006)) % 1.03/1.24 (define @t2010 () (or @t282 @t197 @t351)) % 1.03/1.24 (define @t2011 () (=> tptp.inCongP @t1981)) % 1.03/1.24 (define @t2012 () (= @t1054 @t19)) % 1.03/1.24 (define @t2013 () (forall @t70 (= @t2012 @t1023))) % 1.03/1.24 (define @t2014 () (not @t2013)) % 1.03/1.24 (define @t2015 () (or @t2014 @t1051)) % 1.03/1.24 (define @t2016 () (forall @t1055 @t2015)) % 1.03/1.24 (define @t2017 () (@list @t1054)) % 1.03/1.24 (define @t2018 () (forall @t2017 @t2015)) % 1.03/1.24 (define @t2019 () (forall @t2017 @t2014)) % 1.03/1.24 (define @t2020 () (or @t2019 @t1051)) % 1.03/1.24 (define @t2021 () (= @t153 @t129)) % 1.03/1.24 (define @t2022 () (=> @t265 @t1866)) % 1.03/1.24 (define @t2023 () (forall @t150 @t2022)) % 1.03/1.24 (define @t2024 () (=> tptp.exuI2 @t2011)) % 1.03/1.24 (define @t2025 () (@list @t1059)) % 1.03/1.24 (define @t2026 () (forall @t2025 @t1061)) % 1.03/1.24 (define @t2027 () (forall @t2025 @t1060)) % 1.03/1.24 (define @t2028 () (or @t2027 @t1058 @t1051)) % 1.03/1.24 (define @t2029 () (or @t1172 @t1058 @t1051)) % 1.03/1.24 (define @t2030 () (=> @t1057 @t1051)) % 1.03/1.24 (define @t2031 () (=> @t343 @t1866)) % 1.03/1.24 (define @t2032 () (forall @t9 @t315)) % 1.03/1.24 (define @t2033 () (not @t2032)) % 1.03/1.24 (define @t2034 () (=> @t186 @t2031)) % 1.03/1.24 (define @t2035 () (forall @t150 @t2034)) % 1.03/1.24 (define @t2036 () (=> tptp.exuI3 @t2024)) % 1.03/1.24 (define @t2037 () (=> @t169 @t1866)) % 1.03/1.24 (define @t2038 () (forall @t150 @t2037)) % 1.03/1.24 (define @t2039 () (=> tptp.exuI1 @t2036)) % 1.03/1.24 (define @t2040 () (forall @t9 (or @t858 @t1048))) % 1.03/1.24 (define @t2041 () (not @t2040)) % 1.03/1.24 (define @t2042 () (or @t197 @t144)) % 1.03/1.24 (define @t2043 () (forall @t9 (not @t316))) % 1.03/1.24 (define @t2044 () (not @t2043)) % 1.03/1.24 (define @t2045 () (=> tptp.notdallE @t2039)) % 1.03/1.24 (define @t2046 () (forall @t9 (or @t858 @t1049))) % 1.03/1.24 (define @t2047 () (or @t197 @t315)) % 1.03/1.24 (define @t2048 () (forall @t9 (not @t306))) % 1.03/1.24 (define @t2049 () (not @t2048)) % 1.03/1.24 (define @t2050 () (=> tptp.notdexE @t2045)) % 1.03/1.24 (define @t2051 () (or @t1730 @t1065)) % 1.03/1.24 (define @t2052 () (tptp.prop2set @t173)) % 1.03/1.24 (define @t2053 () (tptp.set2prop @t2052)) % 1.03/1.24 (define @t2054 () (not (= @t173 true))) % 1.03/1.24 (define @t2055 () (or @t1606 @t1606 @t2053)) % 1.03/1.24 (define @t2056 () (or @t1606 @t2053)) % 1.03/1.24 (define @t2057 () (or @t1606 @t337)) % 1.03/1.24 (define @t2058 () (=> tptp.prop2set2propI @t2050)) % 1.03/1.24 (define @t2059 () (or @t1730 @t1067)) % 1.03/1.24 (define @t2060 () (tptp.in tptp.emptyset @t2052)) % 1.03/1.24 (define @t2061 () (or @t1606 @t1606 @t2060)) % 1.03/1.24 (define @t2062 () (or @t1606 @t2060)) % 1.03/1.24 (define @t2063 () (or @t1606 @t334)) % 1.03/1.24 (define @t2064 () (=> tptp.prop2setI @t2058)) % 1.03/1.24 (define @t2065 () (=> tptp.quantDeMorgan4 @t2064)) % 1.03/1.24 (define @t2066 () (=> tptp.quantDeMorgan3 @t2065)) % 1.03/1.24 (define @t2067 () (=> tptp.quantDeMorgan2 @t2066)) % 1.03/1.24 (define @t2068 () (=> tptp.quantDeMorgan1 @t2067)) % 1.03/1.24 (define @t2069 () (or @t16 @t144)) % 1.03/1.24 (define @t2070 () (=> tptp.vacuousDall @t2068)) % 1.03/1.24 (define @t2071 () (or @t1075 @t1074)) % 1.03/1.24 (define @t2072 () (or @t2071 @t1076)) % 1.03/1.24 (define @t2073 () (forall @t1078 @t2072)) % 1.03/1.24 (define @t2074 () (@list @t1073)) % 1.03/1.24 (define @t2075 () (forall @t2074 @t2072)) % 1.03/1.24 (define @t2076 () (forall @t2074 @t2071)) % 1.03/1.24 (define @t2077 () (or @t2076 @t1076)) % 1.03/1.24 (define @t2078 () (= tptp.emptyset @t1701)) % 1.03/1.24 (define @t2079 () (not @t2078)) % 1.03/1.24 (define @t2080 () (or @t2046 @t2079)) % 1.03/1.24 (define @t2081 () (= tptp.emptyset @t304)) % 1.03/1.24 (define @t2082 () (not @t2081)) % 1.03/1.24 (define @t2083 () (or @t2046 @t2082)) % 1.03/1.24 (define @t2084 () (not @t2046)) % 1.03/1.24 (define @t2085 () (=> tptp.emptyE1 @t2070)) % 1.03/1.24 (define @t2086 () (=> tptp.upairsetIR @t2085)) % 1.03/1.24 (define @t2087 () (=> tptp.upairsetIL @t2086)) % 1.03/1.24 (define @t2088 () (=> tptp.upairsetE @t2087)) % 1.03/1.24 (define @t2089 () (not @t276)) % 1.03/1.24 (define @t2090 () (or @t2089 @t280)) % 1.03/1.24 (define @t2091 () (=> tptp.singletonsswitch @t2088)) % 1.03/1.24 (define @t2092 () (or @t1868 @t1091)) % 1.03/1.24 (define @t2093 () (or @t282 @t282 @t1087)) % 1.03/1.24 (define @t2094 () (or @t282 @t1087)) % 1.03/1.24 (define @t2095 () (forall @t9 @t2094)) % 1.03/1.24 (define @t2096 () (forall @t70 @t2095)) % 1.03/1.24 (define @t2097 () (forall @t1874 @t2094)) % 1.03/1.24 (define @t2098 () (or @t282 @t276)) % 1.03/1.24 (define @t2099 () (=> tptp.eqinunit @t2091)) % 1.03/1.24 (define @t2100 () (or @t129 @t281)) % 1.03/1.24 (define @t2101 () (=> tptp.notinsingleton @t2099)) % 1.03/1.24 (define @t2102 () (or @t2089 @t129)) % 1.03/1.24 (define @t2103 () (=> tptp.uniqinunit @t2101)) % 1.03/1.24 (define @t2104 () (not @t196)) % 1.03/1.24 (define @t2105 () (not @t198)) % 1.03/1.24 (define @t2106 () (_ @t833 @t2)) % 1.03/1.24 (define @t2107 () (=> @t2106 @t270)) % 1.03/1.24 (define @t2108 () (forall @t64 @t2107)) % 1.03/1.24 (define @t2109 () (=> tptp.nonemptyImpWitness @t2103)) % 1.03/1.24 (define @t2110 () (or @t1024 (= @t1102 @t19))) % 1.03/1.24 (define @t2111 () (forall @t70 @t2110)) % 1.03/1.24 (define @t2112 () (not @t2111)) % 1.03/1.24 (define @t2113 () (or @t1106 @t1103 @t2112)) % 1.03/1.24 (define @t2114 () (or @t1103 @t2112)) % 1.03/1.24 (define @t2115 () (or @t2114 @t1106)) % 1.03/1.24 (define @t2116 () (forall @t1107 @t2115)) % 1.03/1.24 (define @t2117 () (@list @t1102)) % 1.03/1.24 (define @t2118 () (forall @t2117 @t2115)) % 1.03/1.24 (define @t2119 () (forall @t2117 @t2114)) % 1.03/1.24 (define @t2120 () (or @t2119 @t1106)) % 1.03/1.24 (define @t2121 () (=> @t1866 @t265)) % 1.03/1.24 (define @t2122 () (forall @t150 @t2121)) % 1.03/1.24 (define @t2123 () (=> tptp.exuE2 @t2109)) % 1.03/1.24 (define @t2124 () (or @t197 @t260)) % 1.03/1.24 (define @t2125 () (=> tptp.subPowSU @t2123)) % 1.03/1.24 (define @t2126 () (or @t1572 @t1118)) % 1.03/1.24 (define @t2127 () (and @t1601 @t1118)) % 1.03/1.24 (define @t2128 () (or @t2127 false)) % 1.03/1.24 (define @t2129 () (and @t1606 @t1118)) % 1.03/1.24 (define @t2130 () (or @t173 @t2129 @t173)) % 1.03/1.24 (define @t2131 () (or @t2129 @t173)) % 1.03/1.24 (define @t2132 () (or @t173 @t1117)) % 1.03/1.24 (define @t2133 () (not @t39)) % 1.03/1.24 (define @t2134 () (or @t434 @t2133)) % 1.03/1.24 (define @t2135 () (forall @t41 @t2134)) % 1.03/1.24 (define @t2136 () (or @t173 @t2135)) % 1.03/1.24 (define @t2137 () (or @t173 @t2134)) % 1.03/1.24 (define @t2138 () (or @t434 @t2133 @t173)) % 1.03/1.24 (define @t2139 () (=> tptp.setunionE @t2125)) % 1.03/1.24 (define @t2140 () (or @t434 @t2133 @t44)) % 1.03/1.24 (define @t2141 () (=> tptp.setunionI @t2139)) % 1.03/1.24 (define @t2142 () (or @t1709 @t434 @t7)) % 1.03/1.24 (define @t2143 () (or @t434 @t7)) % 1.03/1.24 (define @t2144 () (=> tptp.powersetE @t2141)) % 1.03/1.24 (define @t2145 () (=> tptp.emptyInPowerset @t2144)) % 1.03/1.24 (define @t2146 () (=> tptp.emptyinPowerset @t2145)) % 1.03/1.24 (define @t2147 () (or @t1132 @t35)) % 1.03/1.24 (define @t2148 () (=> tptp.powersetI @t2146)) % 1.03/1.24 (define @t2149 () (_ @t155 @t1136)) % 1.03/1.24 (define @t2150 () (= @t2 @t2149)) % 1.03/1.24 (define @t2151 () (=> tptp.setoftrueEq @t2148)) % 1.03/1.24 (define @t2152 () (not @t26)) % 1.03/1.24 (define @t2153 () (or @t2152 @t129 @t21)) % 1.03/1.24 (define @t2154 () (or @t129 @t21)) % 1.03/1.24 (define @t2155 () (=> tptp.setadjoinOr @t2151)) % 1.03/1.24 (define @t2156 () (or @t2152 @t129 @t872)) % 1.03/1.24 (define @t2157 () (and @t872 @t1601)) % 1.03/1.24 (define @t2158 () (and @t129 @t1601)) % 1.03/1.24 (define @t2159 () (or @t2158 @t2157)) % 1.03/1.24 (define @t2160 () (or @t2158 @t2157 false)) % 1.03/1.24 (define @t2161 () (and @t872 @t1606)) % 1.03/1.24 (define @t2162 () (and @t129 @t1606)) % 1.03/1.24 (define @t2163 () (or @t173 @t2162 @t2161 @t173)) % 1.03/1.24 (define @t2164 () (or @t2162 @t2161 @t173)) % 1.03/1.24 (define @t2165 () (and @t21 @t1606)) % 1.03/1.24 (define @t2166 () (or @t2162 @t2165 @t173)) % 1.03/1.24 (define @t2167 () (=> @t129 @t173)) % 1.03/1.24 (define @t2168 () (=> tptp.setadjoinE @t2155)) % 1.03/1.24 (define @t2169 () (or @t1454 @t26)) % 1.03/1.24 (define @t2170 () (=> tptp.setadjoinIR @t2168)) % 1.03/1.24 (define @t2171 () (=> tptp.emptyinunitempty @t2170)) % 1.03/1.24 (define @t2172 () (=> tptp.setadjoinIL @t2171)) % 1.03/1.24 (define @t2173 () (not @t378)) % 1.03/1.24 (define @t2174 () (or @t1154 @t2173)) % 1.03/1.24 (define @t2175 () (not (tptp.in @t1153 @t2))) % 1.03/1.24 (define @t2176 () (or @t2104 @t2175 @t2104)) % 1.03/1.24 (define @t2177 () (or @t2175 @t2104)) % 1.03/1.24 (define @t2178 () (forall @t64 @t2177)) % 1.03/1.24 (define @t2179 () (forall @t1155 @t2178)) % 1.03/1.24 (define @t2180 () (forall (@list @t1153 @t2) @t2177)) % 1.03/1.24 (define @t2181 () (forall (@list @t2 @t1153) @t2177)) % 1.03/1.24 (define @t2182 () (forall @t1155 @t2177)) % 1.03/1.24 (define @t2183 () (forall @t1155 @t2175)) % 1.03/1.24 (define @t2184 () (or @t2183 @t2104)) % 1.03/1.24 (define @t2185 () (not @t1099)) % 1.03/1.24 (define @t2186 () (=> @t89 @t2106)) % 1.03/1.24 (define @t2187 () (forall @t64 @t2186)) % 1.03/1.24 (define @t2188 () (=> tptp.nonemptyI1 @t2172)) % 1.03/1.24 (define @t2189 () (lambda @t70 @t1023)) % 1.03/1.24 (define @t2190 () (tptp.dsetconstr @t2 @t2189)) % 1.03/1.24 (define @t2191 () (= tptp.emptyset @t2190)) % 1.03/1.24 (define @t2192 () (not @t2191)) % 1.03/1.24 (define @t2193 () (or @t858 @t1049 @t2192)) % 1.03/1.24 (define @t2194 () (= tptp.emptyset @t156)) % 1.03/1.24 (define @t2195 () (not @t2194)) % 1.03/1.24 (define @t2196 () (or @t197 @t315 @t2195)) % 1.03/1.24 (define @t2197 () (=> @t144 @t2195)) % 1.03/1.24 (define @t2198 () (not (= @t156 tptp.emptyset))) % 1.03/1.24 (define @t2199 () (_ @t833 @t156)) % 1.03/1.24 (define @t2200 () (=> @t144 @t2199)) % 1.03/1.24 (define @t2201 () (=> @t7 @t2200)) % 1.03/1.24 (define @t2202 () (forall @t159 @t2201)) % 1.03/1.24 (define @t2203 () (=> tptp.nonemptyI @t2188)) % 1.03/1.24 (define @t2204 () (=> @t2106 @t89)) % 1.03/1.24 (define @t2205 () (forall @t64 @t2204)) % 1.03/1.24 (define @t2206 () (=> tptp.nonemptyE1 @t2203)) % 1.03/1.24 (define @t2207 () (tptp.in @t4 @t2190)) % 1.03/1.24 (define @t2208 () (= @t1048 @t2207)) % 1.03/1.24 (define @t2209 () (or @t858 @t2208)) % 1.03/1.24 (define @t2210 () (= @t144 @t157)) % 1.03/1.24 (define @t2211 () (or @t197 @t2210)) % 1.03/1.24 (define @t2212 () (=> tptp.setbeta @t2206)) % 1.03/1.24 (define @t2213 () (=> tptp.noeltsimpempty @t2212)) % 1.03/1.24 (define @t2214 () (=> tptp.emptyI @t2213)) % 1.03/1.24 (define @t2215 () (=> @t1131 @t3)) % 1.03/1.24 (define @t2216 () (=> tptp.setext @t2214)) % 1.03/1.24 (define @t2217 () (or @t1024 (= @t1170 @t19))) % 1.03/1.24 (define @t2218 () (forall @t70 @t2217)) % 1.03/1.24 (define @t2219 () (not @t2218)) % 1.03/1.24 (define @t2220 () (or @t1173 @t1171 @t2219)) % 1.03/1.24 (define @t2221 () (or @t1171 @t2219)) % 1.03/1.24 (define @t2222 () (or @t2221 @t1173)) % 1.03/1.24 (define @t2223 () (forall @t1174 @t2222)) % 1.03/1.24 (define @t2224 () (@list @t1170)) % 1.03/1.24 (define @t2225 () (forall @t2224 @t2222)) % 1.03/1.24 (define @t2226 () (forall @t2224 @t2221)) % 1.03/1.24 (define @t2227 () (or @t2226 @t1173)) % 1.03/1.24 (define @t2228 () (=> @t1866 @t186)) % 1.03/1.24 (define @t2229 () (forall @t150 @t2228)) % 1.03/1.24 (define @t2230 () (=> tptp.exuE3e @t2216)) % 1.03/1.24 (define @t2231 () (=> tptp.notinemptyset @t2230)) % 1.03/1.24 (define @t2232 () (=> tptp.emptysetimpfalse @t2231)) % 1.03/1.24 (define @t2233 () (or @t173 @t173)) % 1.03/1.24 (define @t2234 () (=> tptp.emptysetE @t2232)) % 1.03/1.24 (define @t2235 () (or @t1181 false)) % 1.03/1.24 (define @t2236 () (tptp.in @t4 @t2052)) % 1.03/1.24 (define @t2237 () (not @t2236)) % 1.03/1.24 (define @t2238 () (or @t173 @t2237 @t173)) % 1.03/1.24 (define @t2239 () (or @t2237 @t173)) % 1.03/1.24 (define @t2240 () (forall @t179 @t2239)) % 1.03/1.24 (define @t2241 () (forall @t9 @t2240)) % 1.03/1.24 (define @t2242 () (forall (@list @t4 @t173) @t2239)) % 1.03/1.24 (define @t2243 () (not @t175)) % 1.03/1.24 (define @t2244 () (or @t2243 @t173)) % 1.03/1.24 (define @t2245 () (=> tptp.prop2setE @t2234)) % 1.03/1.24 (define @t2246 () (=> @t1866 @t169)) % 1.03/1.24 (define @t2247 () (forall @t150 @t2246)) % 1.03/1.24 (define @t2248 () (=> tptp.exuE1 @t2245)) % 1.03/1.24 (define @t2249 () (not @t2207)) % 1.03/1.24 (define @t2250 () (or @t2249 @t1048)) % 1.03/1.24 (define @t2251 () (not @t157)) % 1.03/1.24 (define @t2252 () (or @t2251 @t144)) % 1.03/1.24 (define @t2253 () (=> tptp.dsetconstrER @t2248)) % 1.03/1.24 (define @t2254 () (or @t2249 @t857)) % 1.03/1.24 (define @t2255 () (or @t2251 @t7)) % 1.03/1.24 (define @t2256 () (=> tptp.dsetconstrEL @t2253)) % 1.03/1.24 (define @t2257 () (or @t858 @t1049 @t2207)) % 1.03/1.24 (define @t2258 () (or @t197 @t315 @t157)) % 1.03/1.24 (define @t2259 () (=> tptp.dsetconstrI @t2256)) % 1.03/1.24 (define @t2260 () (or @t1024 (= @t1191 @t19))) % 1.03/1.24 (define @t2261 () (forall @t70 @t2260)) % 1.03/1.24 (define @t2262 () (not @t2261)) % 1.03/1.24 (define @t2263 () (or @t1193 @t1192 @t2262)) % 1.03/1.24 (define @t2264 () (or @t1192 @t2262)) % 1.03/1.24 (define @t2265 () (or @t2264 @t1193)) % 1.03/1.24 (define @t2266 () (forall @t1194 @t2265)) % 1.03/1.24 (define @t2267 () (@list @t1191)) % 1.03/1.24 (define @t2268 () (forall @t2267 @t2265)) % 1.03/1.24 (define @t2269 () (forall @t2267 @t2264)) % 1.03/1.24 (define @t2270 () (or @t2269 @t1193)) % 1.03/1.24 (define @t2271 () (_ @t143 @t1828)) % 1.03/1.24 (define @t2272 () (or @t1050 @t2271)) % 1.03/1.24 (define @t2273 () (or @t1050 @t147)) % 1.03/1.24 (define @t2274 () (=> @t1866 @t147)) % 1.03/1.24 (define @t2275 () (forall @t150 @t2274)) % 1.03/1.24 (define @t2276 () (=> tptp.descrp @t2259)) % 1.03/1.24 (define @t2277 () (and @t1244 @t1237 @t1233 @t1221)) % 1.03/1.24 (define @t2278 () (forall @t41 (not @t2277))) % 1.03/1.24 (define @t2279 () (not @t2278)) % 1.03/1.24 (define @t2280 () (@list @t1216)) % 1.03/1.24 (define @t2281 () (forall @t2280 @t1220)) % 1.03/1.24 (define @t2282 () (forall @t2280 @t1217)) % 1.03/1.24 (define @t2283 () (or @t1219 @t2282 @t1215)) % 1.03/1.24 (define @t2284 () (forall @t9 @t1212)) % 1.03/1.24 (define @t2285 () (or @t1219 @t2284 @t1215)) % 1.03/1.24 (define @t2286 () (not @t2284)) % 1.03/1.24 (define @t2287 () (and @t1218 @t2286)) % 1.03/1.24 (define @t2288 () (not @t109)) % 1.03/1.24 (define @t2289 () (not @t110)) % 1.03/1.24 (define @t2290 () (or @t2289 @t2288 @t1210 @t1206)) % 1.03/1.24 (define @t2291 () (and @t110 @t109 @t1209 @t1205)) % 1.03/1.24 (define @t2292 () (forall @t112 (not @t2291))) % 1.03/1.24 (define @t2293 () (not @t2292)) % 1.03/1.24 (define @t2294 () (or @t1199 @t1198)) % 1.03/1.24 (define @t2295 () (or @t1202 @t2294 @t1200)) % 1.03/1.24 (define @t2296 () (forall @t1204 @t2295)) % 1.03/1.24 (define @t2297 () (@list @t1197)) % 1.03/1.24 (define @t2298 () (forall @t2297 @t2295)) % 1.03/1.24 (define @t2299 () (forall @t2297 @t2294)) % 1.03/1.24 (define @t2300 () (or @t1202 @t2299 @t1200)) % 1.03/1.24 (define @t2301 () (tptp.in @t19 @t93)) % 1.03/1.24 (define @t2302 () (forall @t70 (or (not @t2301) @t1208))) % 1.03/1.24 (define @t2303 () (not @t100)) % 1.03/1.24 (define @t2304 () (or @t2303 @t2302 @t94)) % 1.03/1.24 (define @t2305 () (or @t2302 @t94)) % 1.03/1.24 (define @t2306 () (not @t97)) % 1.03/1.24 (define @t2307 () (or @t2306 @t96)) % 1.03/1.24 (define @t2308 () (not @t105)) % 1.03/1.24 (define @t2309 () (not @t96)) % 1.03/1.24 (define @t2310 () (or @t2309 @t2308)) % 1.03/1.24 (define @t2311 () (forall @t70 (not @t106))) % 1.03/1.24 (define @t2312 () (not @t2311)) % 1.03/1.24 (define @t2313 () (forall @t9 @t2288)) % 1.03/1.24 (define @t2314 () (not @t2313)) % 1.03/1.24 (define @t2315 () (or @t2288 @t7)) % 1.03/1.24 (define @t2316 () (or @t1225 @t1224)) % 1.03/1.24 (define @t2317 () (or @t1228 @t1227)) % 1.03/1.24 (define @t2318 () (or @t1230 @t1214 @t2317 @t2316)) % 1.03/1.24 (define @t2319 () (forall @t1232 @t2318)) % 1.03/1.24 (define @t2320 () (forall (@list @t1226 @t1223) @t2318)) % 1.03/1.24 (define @t2321 () (forall (@list @t1223) @t2316)) % 1.03/1.24 (define @t2322 () (forall (@list @t1226) @t2317)) % 1.03/1.24 (define @t2323 () (or @t1230 @t1214 @t2322 @t2321)) % 1.03/1.24 (define @t2324 () (tptp.in @t4 @t95)) % 1.03/1.24 (define @t2325 () (forall @t9 (or (not @t2324) @t1211))) % 1.03/1.24 (define @t2326 () (forall @t9 (or @t1212 @t2324))) % 1.03/1.24 (define @t2327 () (not @t124)) % 1.03/1.24 (define @t2328 () (or @t2327 @t2289 @t2326 @t2325)) % 1.03/1.24 (define @t2329 () (or @t2326 @t2325)) % 1.03/1.24 (define @t2330 () (not @t120)) % 1.03/1.24 (define @t2331 () (or @t2330 @t109)) % 1.03/1.24 (define @t2332 () (or @t2288 @t120)) % 1.03/1.24 (define @t2333 () (or @t197 @t1454 @t1236 @t129)) % 1.03/1.24 (define @t2334 () (=> @t1235 @t129)) % 1.03/1.24 (define @t2335 () (or @t2327 @t130)) % 1.03/1.24 (define @t2336 () (or @t1241 @t1240)) % 1.03/1.24 (define @t2337 () (or @t1230 @t2336)) % 1.03/1.24 (define @t2338 () (forall @t1243 @t2337)) % 1.03/1.24 (define @t2339 () (@list @t1239)) % 1.03/1.24 (define @t2340 () (forall @t2339 @t2337)) % 1.03/1.24 (define @t2341 () (forall @t2339 @t2336)) % 1.03/1.24 (define @t2342 () (or @t1230 @t2341)) % 1.03/1.24 (define @t2343 () (or @t2327 @t1218)) % 1.03/1.24 (define @t2344 () (=> tptp.wellorderingAx @t2276)) % 1.03/1.24 (define @t2345 () (@list @t1252)) % 1.03/1.24 (define @t2346 () (forall @t2345 @t1254)) % 1.03/1.24 (define @t2347 () (forall @t2345 @t1253)) % 1.03/1.24 (define @t2348 () (or @t2347 @t1251)) % 1.03/1.24 (define @t2349 () (or @t2133 @t1250)) % 1.03/1.24 (define @t2350 () (and @t39 @t1249)) % 1.03/1.24 (define @t2351 () (forall @t41 (not @t2350))) % 1.03/1.24 (define @t2352 () (not @t2351)) % 1.03/1.24 (define @t2353 () (or @t434 @t197)) % 1.03/1.24 (define @t2354 () (forall @t9 (not @t84))) % 1.03/1.24 (define @t2355 () (not @t2354)) % 1.03/1.24 (define @t2356 () (=> tptp.foundationAx @t2344)) % 1.03/1.24 (define @t2357 () (= @t6 @t1258)) % 1.03/1.24 (define @t2358 () (not @t68)) % 1.03/1.24 (define @t2359 () (or @t1454 @t2358)) % 1.03/1.24 (define @t2360 () (forall @t70 (not @t69))) % 1.03/1.24 (define @t2361 () (not @t2360)) % 1.03/1.24 (define @t2362 () (or @t197 @t1267)) % 1.03/1.24 (define @t2363 () (_ @t75 @t1261)) % 1.03/1.24 (define @t2364 () (not @t2363)) % 1.03/1.24 (define @t2365 () (or @t2364 @t1264)) % 1.03/1.24 (define @t2366 () (not @t76)) % 1.03/1.24 (define @t2367 () (or @t2366 @t1262)) % 1.03/1.24 (define @t2368 () (_ @t77 @t19)) % 1.03/1.24 (define @t2369 () (not @t2368)) % 1.03/1.24 (define @t2370 () (or @t2369 @t1262)) % 1.03/1.24 (define @t2371 () (forall @t70 @t2370)) % 1.03/1.24 (define @t2372 () (not @t2371)) % 1.03/1.24 (define @t2373 () (_ @t77 @t1261)) % 1.03/1.24 (define @t2374 () (not @t2373)) % 1.03/1.24 (define @t2375 () (or @t2374 @t2372)) % 1.03/1.24 (define @t2376 () (forall @t1266 @t2375)) % 1.03/1.24 (define @t2377 () (not @t2376)) % 1.03/1.24 (define @t2378 () (not (_ @t143 @t1261))) % 1.03/1.24 (define @t2379 () (or @t1024 (= @t1261 @t19))) % 1.03/1.24 (define @t2380 () (forall @t70 @t2379)) % 1.03/1.24 (define @t2381 () (not @t2380)) % 1.03/1.24 (define @t2382 () (or @t2378 @t2381)) % 1.03/1.24 (define @t2383 () (forall @t1266 @t2382)) % 1.03/1.24 (define @t2384 () (not @t2383)) % 1.03/1.24 (define @t2385 () (=> @t7 (_ @t1850 @t77))) % 1.03/1.24 (define @t2386 () (forall @t9 @t2385)) % 1.03/1.24 (define @t2387 () (=> @t2386 @t74)) % 1.03/1.24 (define @t2388 () (forall @t81 @t2387)) % 1.03/1.24 (define @t2389 () (=> tptp.replAx @t2356)) % 1.03/1.24 (define @t2390 () (or @t1273 @t1272)) % 1.03/1.24 (define @t2391 () (or @t1281 @t1279 @t2390)) % 1.03/1.24 (define @t2392 () (forall @t1283 @t2391)) % 1.03/1.24 (define @t2393 () (@list @t1271)) % 1.03/1.24 (define @t2394 () (forall @t2393 @t2391)) % 1.03/1.24 (define @t2395 () (forall @t2393 @t2390)) % 1.03/1.24 (define @t2396 () (or @t1281 @t1279 @t2395)) % 1.03/1.24 (define @t2397 () (forall @t9 (or @t1277 @t857))) % 1.03/1.24 (define @t2398 () (not @t61)) % 1.03/1.24 (define @t2399 () (or @t2398 @t1279 @t2397)) % 1.03/1.24 (define @t2400 () (and @t61 @t1278)) % 1.03/1.24 (define @t2401 () (not @t54)) % 1.03/1.24 (define @t2402 () (or @t2401 @t7)) % 1.03/1.24 (define @t2403 () (_ tptp.in @t1274)) % 1.03/1.24 (define @t2404 () (or @t2401 @t197 @t58)) % 1.03/1.24 (define @t2405 () (=> tptp.omegaIndAx @t2389)) % 1.03/1.24 (define @t2406 () (or @t2401 @t53)) % 1.03/1.24 (define @t2407 () (=> tptp.omegaSAx @t2405)) % 1.03/1.24 (define @t2408 () (=> tptp.omega0Ax @t2407)) % 1.03/1.24 (define @t2409 () (= @t44 @t1118)) % 1.03/1.24 (define @t2410 () (forall @t41 (not @t40))) % 1.03/1.24 (define @t2411 () (not @t2410)) % 1.03/1.24 (define @t2412 () (=> tptp.setunionAx @t2408)) % 1.03/1.24 (define @t2413 () (= @t35 @t1131)) % 1.03/1.24 (define @t2414 () (=> tptp.powersetAx @t2412)) % 1.03/1.24 (define @t2415 () (= @t26 @t2154)) % 1.03/1.24 (define @t2416 () (=> tptp.setadjoinAx @t2414)) % 1.03/1.24 (define @t2417 () (=> tptp.emptysetAx @t2416)) % 1.03/1.24 (define @t2418 () (=> tptp.setextAx @t2417)) % 1.03/1.24 (define @t2419 () (_ @t274 @t1415)) % 1.03/1.24 (define @t2420 () (_ (_ tptp.setadjoin @t2419) tptp.emptyset)) % 1.03/1.24 (define @t2421 () (lambda @t9 (not (forall @t875 (or @t1454 @t1420 (not (= @t4 (_ @t1463 @t2420)))))))) % 1.03/1.24 (define @t2422 () (_ @t850 @t2421)) % 1.03/1.24 (define @t2423 () (_ @t680 @t1428)) % 1.03/1.24 (define @t2424 () (not @t2423)) % 1.03/1.24 (define @t2425 () (or @t2424 @t861)) % 1.03/1.24 (define @t2426 () (or @t856 @t855)) % 1.03/1.24 (define @t2427 () (or @t858 @t2426)) % 1.03/1.24 (define @t2428 () (forall @t860 @t2427)) % 1.03/1.24 (define @t2429 () (@list @t852)) % 1.03/1.24 (define @t2430 () (forall @t2429 @t2427)) % 1.03/1.24 (define @t2431 () (forall @t2429 @t2426)) % 1.03/1.24 (define @t2432 () (or @t858 @t2431)) % 1.03/1.24 (define @t2433 () (forall @t70 (or @t1390 (not (= @t380 @t936))))) % 1.03/1.24 (define @t2434 () (or @t197 @t2433)) % 1.03/1.24 (define @t2435 () (not @t2433)) % 1.03/1.24 (define @t2436 () (and @t7 @t2435)) % 1.03/1.24 (define @t2437 () (forall @t9 (not @t2436))) % 1.03/1.24 (define @t2438 () (not @t2437)) % 1.03/1.24 (define @t2439 () (= @t380 @t617)) % 1.03/1.24 (define @t2440 () (not @t2439)) % 1.03/1.24 (define @t2441 () (or @t1425 @t2440)) % 1.03/1.24 (define @t2442 () (and @t351 @t2439)) % 1.03/1.24 (define @t2443 () (forall @t70 (not @t2442))) % 1.03/1.24 (define @t2444 () (not @t2443)) % 1.03/1.24 (define @t2445 () (= @t380 @t1435)) % 1.03/1.24 (define @t2446 () (and @t351 @t2445)) % 1.03/1.24 (define @t2447 () (exists @t70 @t2446)) % 1.03/1.24 (define @t2448 () (and @t7 @t2447)) % 1.03/1.24 (define @t2449 () (exists @t9 @t2448)) % 1.03/1.24 (define @t2450 () (=> (_ @t680 @t1434) @t2449)) % 1.03/1.24 (define @t2451 () (forall @t682 @t2450)) % 1.03/1.24 (define @t2452 () (=> tptp.cartprodpairin @t2451)) % 1.03/1.24 (define @t2453 () (=> tptp.ubforcartprodlem3 @t2452)) % 1.03/1.24 (define @t2454 () (=> tptp.ubforcartprodlem2 @t2453)) % 1.03/1.24 (define @t2455 () (=> tptp.ubforcartprodlem1 @t2454)) % 1.03/1.24 (define @t2456 () (=> tptp.upairinpowunion @t2455)) % 1.03/1.24 (define @t2457 () (=> tptp.upairsubunion @t2456)) % 1.03/1.24 (define @t2458 () (=> tptp.upairset2E @t2457)) % 1.03/1.24 (define @t2459 () (=> tptp.singletoninpowunion @t2458)) % 1.03/1.24 (define @t2460 () (=> tptp.singletoninpowerset @t2459)) % 1.03/1.24 (define @t2461 () (=> tptp.singletonsubset @t2460)) % 1.03/1.24 (define @t2462 () (=> tptp.kpairp @t2461)) % 1.03/1.24 (define @t2463 () (=> tptp.kpairiskpair @t2462)) % 1.03/1.24 (define @t2464 () (=> tptp.setukpairIR @t2463)) % 1.03/1.24 (define @t2465 () (=> tptp.setukpairIL @t2464)) % 1.03/1.24 (define @t2466 () (=> tptp.secondinupair @t2465)) % 1.03/1.24 (define @t2467 () (=> tptp.symdiffIneg2 @t2466)) % 1.03/1.24 (define @t2468 () (=> tptp.symdiffIneg1 @t2467)) % 1.03/1.24 (define @t2469 () (=> tptp.symdiffI2 @t2468)) % 1.03/1.24 (define @t2470 () (=> tptp.symdiffI1 @t2469)) % 1.03/1.24 (define @t2471 () (=> tptp.symdiffE @t2470)) % 1.03/1.24 (define @t2472 () (=> tptp.setminusSubset1 @t2471)) % 1.03/1.24 (define @t2473 () (=> tptp.setminusLsub @t2472)) % 1.03/1.24 (define @t2474 () (=> tptp.setminusIRneg @t2473)) % 1.03/1.24 (define @t2475 () (=> tptp.setminusILneg @t2474)) % 1.03/1.24 (define @t2476 () (=> tptp.setminusELneg @t2475)) % 1.03/1.24 (define @t2477 () (=> tptp.setminusERneg @t2476)) % 1.03/1.24 (define @t2478 () (=> tptp.setminusSubset2 @t2477)) % 1.03/1.24 (define @t2479 () (=> tptp.setminusER @t2478)) % 1.03/1.24 (define @t2480 () (=> tptp.setminusEL @t2479)) % 1.03/1.24 (define @t2481 () (=> tptp.setminusI @t2480)) % 1.03/1.24 (define @t2482 () (=> tptp.bs114d @t2481)) % 1.03/1.24 (define @t2483 () (=> tptp.binintersectSubset1 @t2482)) % 1.03/1.24 (define @t2484 () (=> tptp.binintersectSubset4 @t2483)) % 1.03/1.24 (define @t2485 () (=> tptp.binintersectRsub @t2484)) % 1.03/1.24 (define @t2486 () (=> tptp.disjointsetsI1 @t2485)) % 1.03/1.24 (define @t2487 () (=> tptp.binintersectER @t2486)) % 1.03/1.24 (define @t2488 () (=> tptp.binintersectSubset3 @t2487)) % 1.03/1.24 (define @t2489 () (=> tptp.binintersectSubset2 @t2488)) % 1.03/1.24 (define @t2490 () (=> tptp.binintersectLsub @t2489)) % 1.03/1.24 (define @t2491 () (=> tptp.binintersectEL @t2490)) % 1.03/1.24 (define @t2492 () (=> tptp.binintersectSubset5 @t2491)) % 1.03/1.24 (define @t2493 () (=> tptp.binintersectI @t2492)) % 1.03/1.24 (define @t2494 () (=> tptp.binunionRsub @t2493)) % 1.03/1.24 (define @t2495 () (=> tptp.binunionLsub @t2494)) % 1.03/1.24 (define @t2496 () (=> tptp.binunionE @t2495)) % 1.03/1.24 (define @t2497 () (=> tptp.binunionEcases @t2496)) % 1.03/1.24 (define @t2498 () (=> tptp.binunionIR @t2497)) % 1.03/1.24 (define @t2499 () (=> tptp.upairset2IR @t2498)) % 1.03/1.24 (define @t2500 () (=> tptp.binunionIL @t2499)) % 1.03/1.24 (define @t2501 () (=> tptp.sepSubset @t2500)) % 1.03/1.24 (define @t2502 () (=> tptp.sepInPowerset @t2501)) % 1.03/1.24 (define @t2503 () (=> tptp.powersetsubset @t2502)) % 1.03/1.24 (define @t2504 () (=> tptp.inPowerset @t2503)) % 1.03/1.24 (define @t2505 () (=> tptp.powersetE1 @t2504)) % 1.03/1.24 (define @t2506 () (=> tptp.powersetI1 @t2505)) % 1.03/1.24 (define @t2507 () (=> tptp.subsetemptysetimpeq @t2506)) % 1.03/1.24 (define @t2508 () (=> tptp.setextsub @t2507)) % 1.03/1.24 (define @t2509 () (=> tptp.subset2powerset @t2508)) % 1.03/1.24 (define @t2510 () (=> tptp.setadjoinSub2 @t2509)) % 1.03/1.24 (define @t2511 () (=> tptp.setadjoinSub @t2510)) % 1.03/1.24 (define @t2512 () (=> tptp.subsetTrans @t2511)) % 1.03/1.24 (define @t2513 () (=> tptp.subsetRefl @t2512)) % 1.03/1.24 (define @t2514 () (=> tptp.notequalI2 @t2513)) % 1.03/1.24 (define @t2515 () (=> tptp.notequalI1 @t2514)) % 1.03/1.24 (define @t2516 () (=> tptp.notsubsetI @t2515)) % 1.03/1.24 (define @t2517 () (=> tptp.subsetE2 @t2516)) % 1.03/1.24 (define @t2518 () (=> tptp.subsetE @t2517)) % 1.03/1.24 (define @t2519 () (=> tptp.emptysetsubset @t2518)) % 1.03/1.24 (define @t2520 () (=> tptp.subsetI2 @t2519)) % 1.03/1.24 (define @t2521 () (=> tptp.eqimpsubset1 @t2520)) % 1.03/1.24 (define @t2522 () (=> tptp.eqimpsubset2 @t2521)) % 1.03/1.24 (define @t2523 () (=> tptp.subsetI1 @t2522)) % 1.03/1.24 (define @t2524 () (=> tptp.dsetconstr__Cong @t2523)) % 1.03/1.24 (define @t2525 () (=> tptp.descr__Cong @t2524)) % 1.03/1.24 (define @t2526 () (=> tptp.exuEu @t2525)) % 1.03/1.24 (define @t2527 () (=> tptp.omega__Cong @t2526)) % 1.03/1.24 (define @t2528 () (=> tptp.setunion__Cong @t2527)) % 1.03/1.24 (define @t2529 () (=> tptp.powerset__Cong @t2528)) % 1.03/1.24 (define @t2530 () (=> tptp.setadjoin__Cong @t2529)) % 1.03/1.24 (define @t2531 () (=> tptp.emptyset__Cong @t2530)) % 1.03/1.24 (define @t2532 () (=> tptp.exu__Cong @t2531)) % 1.03/1.24 (define @t2533 () (=> tptp.exuE3u @t2532)) % 1.03/1.24 (define @t2534 () (=> tptp.in__Cong @t2533)) % 1.03/1.24 (define @t2535 () (=> tptp.inCongP @t2534)) % 1.03/1.24 (define @t2536 () (=> tptp.exuI2 @t2535)) % 1.03/1.24 (define @t2537 () (=> tptp.exuI3 @t2536)) % 1.03/1.24 (define @t2538 () (=> tptp.exuI1 @t2537)) % 1.03/1.24 (define @t2539 () (=> tptp.notdallE @t2538)) % 1.03/1.24 (define @t2540 () (=> tptp.notdexE @t2539)) % 1.03/1.24 (define @t2541 () (=> tptp.prop2set2propI @t2540)) % 1.03/1.24 (define @t2542 () (=> tptp.prop2setI @t2541)) % 1.03/1.24 (define @t2543 () (=> tptp.quantDeMorgan4 @t2542)) % 1.03/1.24 (define @t2544 () (=> tptp.quantDeMorgan3 @t2543)) % 1.03/1.24 (define @t2545 () (=> tptp.quantDeMorgan2 @t2544)) % 1.03/1.24 (define @t2546 () (=> tptp.quantDeMorgan1 @t2545)) % 1.03/1.24 (define @t2547 () (=> tptp.vacuousDall @t2546)) % 1.03/1.24 (define @t2548 () (=> tptp.emptyE1 @t2547)) % 1.03/1.24 (define @t2549 () (=> tptp.upairsetIR @t2548)) % 1.03/1.24 (define @t2550 () (=> tptp.upairsetIL @t2549)) % 1.03/1.24 (define @t2551 () (=> tptp.upairsetE @t2550)) % 1.03/1.24 (define @t2552 () (=> tptp.singletonsswitch @t2551)) % 1.03/1.24 (define @t2553 () (=> tptp.eqinunit @t2552)) % 1.03/1.24 (define @t2554 () (=> tptp.notinsingleton @t2553)) % 1.03/1.24 (define @t2555 () (=> tptp.uniqinunit @t2554)) % 1.03/1.24 (define @t2556 () (=> tptp.nonemptyImpWitness @t2555)) % 1.03/1.24 (define @t2557 () (=> tptp.exuE2 @t2556)) % 1.03/1.24 (define @t2558 () (=> tptp.subPowSU @t2557)) % 1.03/1.24 (define @t2559 () (=> tptp.setunionE @t2558)) % 1.03/1.24 (define @t2560 () (=> tptp.setunionI @t2559)) % 1.03/1.24 (define @t2561 () (=> tptp.powersetE @t2560)) % 1.03/1.24 (define @t2562 () (=> tptp.emptyInPowerset @t2561)) % 1.03/1.24 (define @t2563 () (=> tptp.emptyinPowerset @t2562)) % 1.03/1.24 (define @t2564 () (=> tptp.powersetI @t2563)) % 1.03/1.24 (define @t2565 () (=> tptp.setoftrueEq @t2564)) % 1.03/1.24 (define @t2566 () (=> tptp.setadjoinOr @t2565)) % 1.03/1.24 (define @t2567 () (=> tptp.setadjoinE @t2566)) % 1.03/1.24 (define @t2568 () (=> tptp.setadjoinIR @t2567)) % 1.03/1.24 (define @t2569 () (=> tptp.emptyinunitempty @t2568)) % 1.03/1.24 (define @t2570 () (=> tptp.setadjoinIL @t2569)) % 1.03/1.24 (define @t2571 () (=> tptp.nonemptyI1 @t2570)) % 1.03/1.24 (define @t2572 () (=> tptp.nonemptyI @t2571)) % 1.03/1.24 (define @t2573 () (=> tptp.nonemptyE1 @t2572)) % 1.03/1.24 (define @t2574 () (=> tptp.setbeta @t2573)) % 1.03/1.24 (define @t2575 () (=> tptp.noeltsimpempty @t2574)) % 1.03/1.24 (define @t2576 () (=> tptp.emptyI @t2575)) % 1.03/1.24 (define @t2577 () (=> tptp.setext @t2576)) % 1.03/1.24 (define @t2578 () (=> tptp.exuE3e @t2577)) % 1.03/1.24 (define @t2579 () (=> tptp.notinemptyset @t2578)) % 1.03/1.24 (define @t2580 () (=> tptp.emptysetimpfalse @t2579)) % 1.03/1.24 (define @t2581 () (=> tptp.emptysetE @t2580)) % 1.03/1.24 (define @t2582 () (=> tptp.prop2setE @t2581)) % 1.03/1.24 (define @t2583 () (=> tptp.exuE1 @t2582)) % 1.03/1.24 (define @t2584 () (=> tptp.dsetconstrER @t2583)) % 1.03/1.24 (define @t2585 () (=> tptp.dsetconstrEL @t2584)) % 1.03/1.24 (define @t2586 () (=> tptp.dsetconstrI @t2585)) % 1.03/1.24 (define @t2587 () (=> tptp.descrp @t2586)) % 1.03/1.24 (define @t2588 () (=> tptp.wellorderingAx @t2587)) % 1.03/1.24 (define @t2589 () (=> tptp.foundationAx @t2588)) % 1.03/1.24 (define @t2590 () (=> tptp.replAx @t2589)) % 1.03/1.24 (define @t2591 () (=> tptp.omegaIndAx @t2590)) % 1.03/1.24 (define @t2592 () (=> tptp.omegaSAx @t2591)) % 1.03/1.24 (define @t2593 () (=> tptp.omega0Ax @t2592)) % 1.03/1.24 (define @t2594 () (=> tptp.setunionAx @t2593)) % 1.03/1.24 (define @t2595 () (=> tptp.powersetAx @t2594)) % 1.03/1.24 (define @t2596 () (=> tptp.setadjoinAx @t2595)) % 1.03/1.24 (define @t2597 () (=> tptp.emptysetAx @t2596)) % 1.03/1.24 (define @t2598 () (=> tptp.setextAx @t2597)) % 1.03/1.24 (define @t2599 () (@quantifiers_skolemize @t884 2)) % 1.03/1.24 (define @t2600 () (@quantifiers_skolemize @t884 1)) % 1.03/1.24 (define @t2601 () (not (tptp.in @t862 @t2600))) % 1.03/1.24 (define @t2602 () (@quantifiers_skolemize @t884 0)) % 1.03/1.24 (define @t2603 () (not (tptp.in @t19 @t2602))) % 1.03/1.24 (define @t2604 () (not (forall @t875 (or @t2603 @t2601 @t869)))) % 1.03/1.24 (define @t2605 () (lambda @t9 @t2604)) % 1.03/1.24 (define @t2606 () (@purify @t2605)) % 1.03/1.24 (define @t2607 () (tptp.powerset (tptp.powerset (tptp.binunion @t2602 @t2600)))) % 1.03/1.24 (define @t2608 () (not (tptp.in @t852 @t2600))) % 1.03/1.24 (define @t2609 () (not (tptp.in @t4 @t2602))) % 1.03/1.24 (define @t2610 () (forall @t860 (or @t2609 @t2608 (not (= @t854 @t2599))))) % 1.03/1.24 (define @t2611 () (not @t2610)) % 1.03/1.24 (define @t2612 () (tptp.in @t2599 (tptp.dsetconstr @t2607 @t2606))) % 1.03/1.24 (define @t2613 () (not @t2612)) % 1.03/1.24 (define @t2614 () (or @t2613 @t2611)) % 1.03/1.24 (define @t2615 () (not @t2614)) % 1.03/1.24 (define @t2616 () (not @t884)) % 1.03/1.24 (define @t2617 () (tptp.dsetconstr @t2607 @t2605)) % 1.03/1.24 (define @t2618 () (tptp.in @t2599 @t2617)) % 1.03/1.24 (define @t2619 () (not @t2618)) % 1.03/1.24 (define @t2620 () (or @t2619 @t2611)) % 1.03/1.24 (define @t2621 () (not @t2620)) % 1.03/1.24 (define @t2622 () (not (= @t2599 @t854))) % 1.03/1.24 (define @t2623 () (or @t2609 @t2608 @t2622)) % 1.03/1.24 (define @t2624 () (forall @t860 @t2623)) % 1.03/1.24 (define @t2625 () (not @t2624)) % 1.03/1.24 (define @t2626 () (or @t2619 @t2625)) % 1.03/1.24 (define @t2627 () (not @t2626)) % 1.03/1.24 (define @t2628 () (@list true)) % 1.03/1.24 (define @t2629 () (@list @t2614)) % 1.03/1.24 (define @t2630 () (_ @t2606 @t2599)) % 1.03/1.24 (define @t2631 () (or @t2613 @t2630)) % 1.03/1.24 (define @t2632 () (forall @t875 (or @t2603 @t2601 (not (= @t867 @t2599))))) % 1.03/1.24 (define @t2633 () (@list false)) % 1.03/1.24 (define @t2634 () (_ @t2606 @t4)) % 1.03/1.24 (define @t2635 () (_ @t2605 @t4)) % 1.03/1.24 (define @t2636 () (= @t2634 @t2635)) % 1.03/1.24 (define @t2637 () (forall @t9 @t2636)) % 1.03/1.24 (define @t2638 () (not (= @t2599 @t867))) % 1.03/1.24 (define @t2639 () (or @t2603 @t2601 @t2638)) % 1.03/1.24 (define @t2640 () (forall @t875 @t2639)) % 1.03/1.24 (define @t2641 () (not @t2640)) % 1.03/1.24 (define @t2642 () (forall @t9 (= @t2604 @t2634))) % 1.03/1.24 (define @t2643 () (= @t2641 @t2630)) % 1.03/1.24 (define @t2644 () (not @t2632)) % 1.03/1.24 (define @t2645 () (= @t2630 @t2644)) % 1.03/1.24 (assume @p1 @t14) % 1.03/1.24 (assume @p2 @t18) % 1.03/1.24 (assume @p3 @t30) % 1.03/1.24 (assume @p4 @t38) % 1.03/1.24 (assume @p5 @t48) % 1.03/1.24 (assume @p6 (= tptp.omega0Ax @t50)) % 1.03/1.24 (assume @p7 @t56) % 1.03/1.24 (assume @p8 @t66) % 1.03/1.24 (assume @p9 @t83) % 1.03/1.24 (assume @p10 @t92) % 1.03/1.24 (assume @p11 @t142) % 1.03/1.24 (assume @p12 @t152) % 1.03/1.24 (assume @p13 @t161) % 1.03/1.24 (assume @p14 @t163) % 1.03/1.24 (assume @p15 @t165) % 1.03/1.24 (assume @p16 @t172) % 1.03/1.24 (assume @p17 @t178) % 1.03/1.24 (assume @p18 @t183) % 1.03/1.24 (assume @p19 @t185) % 1.03/1.24 (assume @p20 (= tptp.notinemptyset @t17)) % 1.03/1.24 (assume @p21 @t189) % 1.03/1.24 (assume @p22 @t195) % 1.03/1.24 (assume @p23 @t201) % 1.03/1.24 (assume @p24 (= tptp.noeltsimpempty @t200)) % 1.03/1.24 (assume @p25 @t204) % 1.03/1.24 (assume @p26 @t208) % 1.03/1.24 (assume @p27 @t212) % 1.03/1.24 (assume @p28 @t215) % 1.03/1.24 (assume @p29 @t219) % 1.03/1.24 (assume @p30 (= tptp.emptyinunitempty @t221)) % 1.03/1.24 (assume @p31 @t223) % 1.03/1.24 (assume @p32 @t231) % 1.03/1.24 (assume @p33 @t234) % 1.03/1.24 (assume @p34 @t238) % 1.03/1.24 (assume @p35 @t241) % 1.03/1.24 (assume @p36 @t244) % 1.03/1.24 (assume @p37 (= tptp.emptyInPowerset @t243)) % 1.03/1.24 (assume @p38 @t247) % 1.03/1.24 (assume @p39 @t251) % 1.03/1.24 (assume @p40 @t258) % 1.03/1.24 (assume @p41 @t262) % 1.03/1.24 (assume @p42 @t268) % 1.03/1.24 (assume @p43 @t273) % 1.03/1.24 (assume @p44 @t278) % 1.03/1.24 (assume @p45 @t284) % 1.03/1.24 (assume @p46 @t286) % 1.03/1.24 (assume @p47 @t288) % 1.03/1.24 (assume @p48 @t297) % 1.03/1.24 (assume @p49 @t300) % 1.03/1.24 (assume @p50 @t303) % 1.03/1.24 (assume @p51 @t311) % 1.03/1.24 (assume @p52 @t314) % 1.03/1.24 (assume @p53 @t322) % 1.03/1.24 (assume @p54 @t327) % 1.03/1.24 (assume @p55 @t330) % 1.03/1.24 (assume @p56 @t333) % 1.03/1.24 (assume @p57 @t336) % 1.03/1.24 (assume @p58 @t339) % 1.03/1.24 (assume @p59 (= tptp.notdexE @t329)) % 1.03/1.24 (assume @p60 (= tptp.notdallE @t321)) % 1.03/1.24 (assume @p61 @t342) % 1.03/1.24 (assume @p62 @t347) % 1.03/1.24 (assume @p63 @t350) % 1.03/1.24 (assume @p64 @t356) % 1.03/1.24 (assume @p65 @t361) % 1.03/1.24 (assume @p66 @t364) % 1.03/1.24 (assume @p67 @t377) % 1.03/1.24 (assume @p68 @t379) % 1.03/1.24 (assume @p69 @t389) % 1.03/1.24 (assume @p70 @t393) % 1.03/1.24 (assume @p71 @t397) % 1.03/1.24 (assume @p72 @t398) % 1.03/1.24 (assume @p73 @t399) % 1.03/1.24 (assume @p74 @t406) % 1.03/1.24 (assume @p75 @t417) % 1.03/1.24 (assume @p76 @t422) % 1.03/1.24 (assume @p77 @t426) % 1.03/1.24 (assume @p78 @t428) % 1.03/1.24 (assume @p79 (= tptp.subsetI2 @t421)) % 1.03/1.24 (assume @p80 @t431) % 1.03/1.24 (assume @p81 @t433) % 1.03/1.24 (assume @p82 @t437) % 1.03/1.24 (assume @p83 @t441) % 1.03/1.24 (assume @p84 @t444) % 1.03/1.24 (assume @p85 @t447) % 1.03/1.24 (assume @p86 @t450) % 1.03/1.24 (assume @p87 @t456) % 1.03/1.24 (assume @p88 @t460) % 1.03/1.24 (assume @p89 @t464) % 1.03/1.24 (assume @p90 @t468) % 1.03/1.24 (assume @p91 @t471) % 1.03/1.24 (assume @p92 @t474) % 1.03/1.24 (assume @p93 @t476) % 1.03/1.24 (assume @p94 @t478) % 1.03/1.24 (assume @p95 @t481) % 1.03/1.24 (assume @p96 @t484) % 1.03/1.24 (assume @p97 @t487) % 1.03/1.24 (assume @p98 @t490) % 1.03/1.24 (assume @p99 @t494) % 1.03/1.24 (assume @p100 (= tptp.upairset2IR @t302)) % 1.03/1.24 (assume @p101 @t496) % 1.03/1.24 (assume @p102 @t503) % 1.03/1.24 (assume @p103 @t506) % 1.03/1.24 (assume @p104 @t509) % 1.03/1.24 (assume @p105 @t512) % 1.03/1.24 (assume @p106 @t518) % 1.03/1.24 (assume @p107 @t525) % 1.03/1.24 (assume @p108 @t527) % 1.03/1.24 (assume @p109 @t531) % 1.03/1.24 (assume @p110 @t535) % 1.03/1.24 (assume @p111 @t539) % 1.03/1.24 (assume @p112 @t541) % 1.03/1.24 (assume @p113 @t547) % 1.03/1.24 (assume @p114 @t550) % 1.03/1.24 (assume @p115 @t553) % 1.03/1.24 (assume @p116 @t556) % 1.03/1.24 (assume @p117 @t563) % 1.03/1.24 (assume @p118 @t568) % 1.03/1.24 (assume @p119 @t570) % 1.03/1.24 (assume @p120 @t572) % 1.03/1.24 (assume @p121 @t576) % 1.03/1.24 (assume @p122 @t579) % 1.03/1.24 (assume @p123 @t581) % 1.03/1.24 (assume @p124 @t583) % 1.03/1.24 (assume @p125 @t585) % 1.03/1.24 (assume @p126 @t588) % 1.03/1.24 (assume @p127 @t591) % 1.03/1.24 (assume @p128 @t601) % 1.03/1.24 (assume @p129 @t604) % 1.03/1.24 (assume @p130 @t607) % 1.03/1.24 (assume @p131 @t611) % 1.03/1.24 (assume @p132 @t614) % 1.03/1.24 (assume @p133 (= tptp.secondinupair @t302)) % 1.03/1.24 (assume @p134 @t621) % 1.03/1.24 (assume @p135 @t624) % 1.03/1.24 (assume @p136 @t626) % 1.03/1.24 (assume @p137 @t629) % 1.03/1.24 (assume @p138 @t632) % 1.03/1.24 (assume @p139 @t636) % 1.03/1.24 (assume @p140 @t640) % 1.03/1.24 (assume @p141 (= tptp.upairset2E @t296)) % 1.03/1.24 (assume @p142 @t645) % 1.03/1.24 (assume @p143 @t650) % 1.03/1.24 (assume @p144 @t655) % 1.03/1.24 (assume @p145 @t662) % 1.03/1.24 (assume @p146 @t668) % 1.03/1.24 (assume @p147 @t674) % 1.03/1.24 (assume @p148 @t831) % 1.03/1.24 (assume @p149 true) % 1.03/1.24 (step @p150 (= tptp.exu @t832) :rule refl :args (@t832)) % 1.03/1.24 (step @p151 (= tptp.nonempty @t833) :rule refl :args (@t833)) % 1.03/1.24 (step @p152 (= tptp.iskpair @t840) :rule refl :args (@t840)) % 1.03/1.24 (step @p153 (= tptp.kpair @t841) :rule refl :args (@t841)) % 1.03/1.24 (step @p154 (= tptp.cartprod @t851) :rule refl :args (@t851)) % 1.03/1.24 (step @p155 :rule refl :args (@t1063)) % 1.03/1.24 (step @p156 :rule skolem_intro :args ((@purify true))) % 1.03/1.24 (step @p157 :rule symm :premises (@p156)) % 1.03/1.24 (step @p158 :rule cong :premises (@p157) :args (@t1064)) % 1.03/1.24 (step @p159 :rule cong :premises (@p158) :args (@t1065)) % 1.03/1.24 (step @p160 :rule cong :premises (@p159 @p155) :args (@t1066)) % 1.03/1.24 (step @p161 :rule refl :args (tptp.emptyset)) % 1.03/1.24 (step @p162 :rule cong :premises (@p161 @p158) :args (@t1067)) % 1.03/1.24 (step @p163 :rule cong :premises (@p162 @p160) :args (@t1068)) % 1.03/1.24 (step @p164 :rule refl :args (@t1071)) % 1.03/1.24 (step @p165 :rule cong :premises (@p164 @p163) :args (@t1072)) % 1.03/1.24 (step @p166 :rule refl :args (@t1079)) % 1.03/1.24 (step @p167 :rule cong :premises (@p166 @p165) :args (@t1080)) % 1.03/1.24 (step @p168 :rule refl :args (@t943)) % 1.03/1.24 (step @p169 :rule cong :premises (@p168 @p167) :args (@t1081)) % 1.03/1.24 (step @p170 :rule refl :args (@t1083)) % 1.03/1.24 (step @p171 :rule cong :premises (@p170 @p169) :args (@t1084)) % 1.03/1.24 (step @p172 :rule refl :args (@t926)) % 1.03/1.24 (step @p173 :rule cong :premises (@p172 @p171) :args (@t1085)) % 1.03/1.24 (step @p174 :rule refl :args (@t1089)) % 1.03/1.24 (step @p175 :rule cong :premises (@p174 @p173) :args (@t1090)) % 1.03/1.24 (step @p176 :rule refl :args (@t1092)) % 1.03/1.24 (step @p177 :rule cong :premises (@p176 @p175) :args (@t1093)) % 1.03/1.24 (step @p178 :rule refl :args (@t1094)) % 1.03/1.24 (step @p179 :rule cong :premises (@p178 @p177) :args (@t1095)) % 1.03/1.24 (step @p180 :rule refl :args (@t1096)) % 1.03/1.24 (step @p181 :rule cong :premises (@p180 @p179) :args (@t1097)) % 1.03/1.24 (step @p182 :rule refl :args (@t1100)) % 1.03/1.24 (step @p183 :rule cong :premises (@p182 @p181) :args (@t1101)) % 1.03/1.24 (step @p184 :rule refl :args (@t1108)) % 1.03/1.24 (step @p185 :rule cong :premises (@p184 @p183) :args (@t1109)) % 1.03/1.24 (step @p186 :rule refl :args (@t1113)) % 1.03/1.24 (step @p187 :rule cong :premises (@p186 @p185) :args (@t1114)) % 1.03/1.24 (step @p188 :rule refl :args (@t1121)) % 1.03/1.24 (step @p189 :rule cong :premises (@p188 @p187) :args (@t1122)) % 1.03/1.24 (step @p190 :rule refl :args (@t1123)) % 1.03/1.24 (step @p191 :rule cong :premises (@p190 @p189) :args (@t1124)) % 1.03/1.24 (step @p192 :rule refl :args (@t1125)) % 1.03/1.24 (step @p193 :rule cong :premises (@p192 @p191) :args (@t1126)) % 1.03/1.24 (step @p194 :rule refl :args (@t1128)) % 1.03/1.24 (step @p195 :rule cong :premises (@p194 @p193) :args (@t1129)) % 1.03/1.24 (step @p196 :rule cong :premises (@p194 @p195) :args (@t1130)) % 1.03/1.24 (step @p197 :rule refl :args (@t1133)) % 1.03/1.24 (step @p198 :rule cong :premises (@p197 @p196) :args (@t1134)) % 1.03/1.24 (step @p199 :rule refl :args (@t1138)) % 1.03/1.24 (step @p200 :rule cong :premises (@p199 @p198) :args (@t1139)) % 1.03/1.24 (step @p201 :rule refl :args (@t1141)) % 1.03/1.24 (step @p202 :rule cong :premises (@p201 @p200) :args (@t1142)) % 1.03/1.24 (step @p203 :rule cong :premises (@p201 @p202) :args (@t1143)) % 1.03/1.24 (step @p204 :rule refl :args (@t1144)) % 1.03/1.24 (step @p205 :rule cong :premises (@p204 @p203) :args (@t1145)) % 1.03/1.24 (step @p206 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 1.03/1.24 (step @p207 :rule refl :args (@t1146)) % 1.03/1.24 (step @p208 :rule refl :args (tptp.emptyset)) % 1.03/1.24 (step @p209 :rule cong :premises (@p208 @p207) :args (@t1147)) % 1.03/1.24 (step @p210 :rule trans :premises (@p209 @p206)) % 1.03/1.24 (step @p211 :rule refl :args (@t49)) % 1.03/1.24 (step @p212 :rule ho_cong :premises (@p211 @p207)) % 1.03/1.24 (step @p213 :rule cong :premises (@p212 @p210) :args ((= (_ @t49 @t1146) @t1147))) % 1.03/1.24 (step @p214 :rule symm :premises (@p213)) % 1.03/1.24 (step @p215 :rule refl :args (@t221)) % 1.03/1.24 (step @p216 :rule eq_resolve :premises (@p215 @p214)) % 1.03/1.24 (step @p217 :rule refl :args (@t220)) % 1.03/1.24 (step @p218 :rule cong :premises (@p217 @p207) :args ((= @t220 @t1146))) % 1.03/1.24 (step @p219 :rule symm :premises (@p218)) % 1.03/1.24 (step @p220 :rule eq_resolve :premises (@p217 @p219)) % 1.03/1.24 (step @p221 :rule refl :args (@t49)) % 1.03/1.24 (step @p222 :rule ho_cong :premises (@p221 @p220)) % 1.03/1.24 (step @p223 :rule trans :premises (@p222 @p216)) % 1.03/1.24 (step @p224 :rule cong :premises (@p223 @p205) :args (@t1148)) % 1.03/1.24 (step @p225 :rule refl :args (@t1151)) % 1.03/1.24 (step @p226 :rule cong :premises (@p225 @p224) :args (@t1152)) % 1.03/1.24 (step @p227 :rule refl :args (@t1156)) % 1.03/1.24 (step @p228 :rule cong :premises (@p227 @p226) :args (@t1157)) % 1.03/1.24 (step @p229 :rule refl :args (@t1158)) % 1.03/1.24 (step @p230 :rule cong :premises (@p229 @p228) :args (@t1159)) % 1.03/1.24 (step @p231 :rule cong :premises (@p182 @p230) :args (@t1160)) % 1.03/1.24 (step @p232 :rule refl :args (@t1162)) % 1.03/1.24 (step @p233 :rule cong :premises (@p232 @p231) :args (@t1163)) % 1.03/1.24 (step @p234 :rule refl :args (@t1164)) % 1.03/1.24 (step @p235 :rule cong :premises (@p234 @p233) :args (@t1165)) % 1.03/1.24 (step @p236 :rule cong :premises (@p234 @p235) :args (@t1166)) % 1.03/1.24 (step @p237 :rule refl :args (@t1168)) % 1.03/1.24 (step @p238 :rule cong :premises (@p237 @p236) :args (@t1169)) % 1.03/1.24 (step @p239 :rule refl :args (@t1175)) % 1.03/1.24 (step @p240 :rule cong :premises (@p239 @p238) :args (@t1176)) % 1.03/1.24 (step @p241 :rule refl :args (@t1177)) % 1.03/1.24 (step @p242 :rule cong :premises (@p241 @p240) :args (@t1178)) % 1.03/1.24 (step @p243 :rule cong :premises (@p241 @p242) :args (@t1179)) % 1.03/1.24 (step @p244 :rule cong :premises (@p241 @p243) :args (@t1180)) % 1.03/1.24 (step @p245 :rule refl :args (@t1182)) % 1.03/1.24 (step @p246 :rule cong :premises (@p245 @p244) :args (@t1183)) % 1.03/1.24 (step @p247 :rule refl :args (@t1185)) % 1.03/1.24 (step @p248 :rule cong :premises (@p247 @p246) :args (@t1186)) % 1.03/1.24 (step @p249 :rule refl :args (@t1187)) % 1.03/1.24 (step @p250 :rule cong :premises (@p249 @p248) :args (@t1188)) % 1.03/1.24 (step @p251 :rule refl :args (@t1189)) % 1.03/1.24 (step @p252 :rule cong :premises (@p251 @p250) :args (@t1190)) % 1.03/1.24 (step @p253 :rule refl :args (@t1195)) % 1.03/1.24 (step @p254 :rule cong :premises (@p253 @p252) :args (@t1196)) % 1.03/1.24 (step @p255 :rule refl :args (@t1247)) % 1.03/1.24 (step @p256 :rule cong :premises (@p255 @p254) :args (@t1248)) % 1.03/1.24 (step @p257 :rule refl :args (@t1255)) % 1.03/1.24 (step @p258 :rule cong :premises (@p257 @p256) :args (@t1256)) % 1.03/1.24 (step @p259 :rule refl :args (@t1269)) % 1.03/1.24 (step @p260 :rule cong :premises (@p259 @p258) :args (@t1270)) % 1.03/1.24 (step @p261 :rule refl :args (@t1284)) % 1.03/1.24 (step @p262 :rule cong :premises (@p261 @p260) :args (@t1285)) % 1.03/1.24 (step @p263 :rule refl :args (@t1287)) % 1.03/1.24 (step @p264 :rule cong :premises (@p263 @p262) :args (@t1288)) % 1.03/1.24 (step @p265 :rule refl :args (@t1289)) % 1.03/1.24 (step @p266 :rule refl :args (@t50)) % 1.03/1.24 (step @p267 :rule cong :premises (@p266 @p265) :args ((= @t50 @t1289))) % 1.03/1.24 (step @p268 :rule symm :premises (@p267)) % 1.03/1.24 (step @p269 :rule eq_resolve :premises (@p266 @p268)) % 1.03/1.24 (step @p270 :rule cong :premises (@p269 @p264) :args (@t1290)) % 1.03/1.24 (step @p271 :rule refl :args (@t1291)) % 1.03/1.24 (step @p272 :rule cong :premises (@p271 @p270) :args (@t1292)) % 1.03/1.24 (step @p273 :rule refl :args (@t1293)) % 1.03/1.24 (step @p274 :rule cong :premises (@p273 @p272) :args (@t1294)) % 1.03/1.24 (step @p275 :rule refl :args (@t1296)) % 1.03/1.24 (step @p276 :rule cong :premises (@p275 @p274) :args (@t1297)) % 1.03/1.24 (step @p277 :rule cong :premises (@p241 @p276) :args (@t1298)) % 1.03/1.24 (step @p278 :rule refl :args (@t1300)) % 1.03/1.24 (step @p279 :rule cong :premises (@p278 @p277) :args (@t1301)) % 1.03/1.24 (step @p280 :rule cong :premises (@p279) :args ((not @t1301))) % 1.03/1.24 (step @p281 :rule bool-impl-true2 :args (@t996)) % 1.03/1.24 (step @p282 :rule refl :args (@t998)) % 1.03/1.24 (step @p283 :rule cong :premises (@p282 @p281) :args (@t1302)) % 1.03/1.24 (step @p284 :rule refl :args (@t999)) % 1.03/1.24 (step @p285 :rule cong :premises (@p284 @p283) :args (@t1303)) % 1.03/1.24 (step @p286 :rule refl :args (@t1000)) % 1.03/1.24 (step @p287 :rule cong :premises (@p286 @p285) :args (@t1304)) % 1.03/1.24 (step @p288 :rule refl :args (@t1001)) % 1.03/1.24 (step @p289 :rule cong :premises (@p288 @p287) :args (@t1305)) % 1.03/1.24 (step @p290 :rule refl :args (@t1003)) % 1.03/1.24 (step @p291 :rule cong :premises (@p290 @p289) :args (@t1306)) % 1.03/1.24 (step @p292 :rule refl :args (@t1006)) % 1.03/1.24 (step @p293 :rule cong :premises (@p292 @p291) :args (@t1307)) % 1.03/1.24 (step @p294 :rule cong :premises (@p282 @p293) :args (@t1308)) % 1.03/1.24 (step @p295 :rule cong :premises (@p282 @p294) :args (@t1309)) % 1.03/1.24 (step @p296 :rule cong :premises (@p292 @p295) :args (@t1310)) % 1.03/1.24 (step @p297 :rule refl :args (@t1017)) % 1.03/1.24 (step @p298 :rule cong :premises (@p297 @p296) :args (@t1311)) % 1.03/1.24 (step @p299 :rule refl :args (@t1032)) % 1.03/1.24 (step @p300 :rule cong :premises (@p299 @p298) :args (@t1312)) % 1.03/1.24 (step @p301 :rule refl :args (@t1041)) % 1.03/1.24 (step @p302 :rule cong :premises (@p301 @p300) :args (@t1313)) % 1.03/1.24 (step @p303 :rule bool-impl-true2 :args (@t1313)) % 1.03/1.24 (step @p304 :rule trans :premises (@p303 @p302)) % 1.03/1.24 (step @p305 :rule bool-impl-true2 :args (@t1313)) % 1.03/1.24 (step @p306 :rule refl :args (true)) % 1.03/1.24 (step @p307 :rule cong :premises (@p306 @p305) :args (@t1314)) % 1.03/1.24 (step @p308 :rule trans :premises (@p307 @p304)) % 1.03/1.24 (step @p309 :rule cong :premises (@p306 @p305) :args (@t1314)) % 1.03/1.24 (step @p310 :rule cong :premises (@p306 @p309) :args (@t1315)) % 1.03/1.24 (step @p311 :rule 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(@p5379)) % 1.03/1.26 (step @p5381 :rule refl :args (@t2615)) % 1.03/1.26 (step @p5382 :rule bool-double-not-elim :args (@t884)) % 1.03/1.26 (step @p5383 :rule nary_cong :premises (@p5382 @p5381) :args ((or (not @t2616) @t2615))) % 1.03/1.26 (step @p5384 :rule refl :args (@t2611)) % 1.03/1.26 (step @p5385 :rule eq-refl :args (@t2605)) % 1.03/1.26 (step @p5386 :rule skolem_intro :args (@t2606)) % 1.03/1.26 (step @p5387 :rule refl :args (@t2605)) % 1.03/1.26 (step @p5388 :rule cong :premises (@p5387 @p5386) :args ((= @t2605 @t2606))) % 1.03/1.26 (step @p5389 :rule trans :premises (@p5388 @p5385)) % 1.03/1.26 (step @p5390 :rule true_elim :premises (@p5389)) % 1.03/1.26 (step @p5391 :rule refl :args (@t2607)) % 1.03/1.26 (step @p5392 :rule cong :premises (@p5391 @p5390) :args (@t2617)) % 1.03/1.26 (step @p5393 :rule refl :args (@t2599)) % 1.03/1.26 (step @p5394 :rule cong :premises (@p5393 @p5392) :args (@t2618)) % 1.03/1.26 (step @p5395 :rule cong :premises (@p5394) :args (@t2619)) % 1.03/1.26 (step @p5396 :rule nary_cong :premises (@p5395 @p5384) :args (@t2620)) % 1.03/1.26 (step @p5397 :rule cong :premises (@p5396) :args (@t2621)) % 1.03/1.26 (step @p5398 :rule refl :args (@t2616)) % 1.03/1.26 (step @p5399 :rule cong :premises (@p5398 @p5397) :args ((=> @t2616 @t2621))) % 1.03/1.26 (step @p5400 :rule eq-symm :args (@t2599 @t854)) % 1.03/1.26 (step @p5401 :rule cong :premises (@p5400) :args (@t2622)) % 1.03/1.26 (step @p5402 :rule refl :args (@t2608)) % 1.03/1.26 (step @p5403 :rule refl :args (@t2609)) % 1.03/1.26 (step @p5404 :rule nary_cong :premises (@p5403 @p5402 @p5401) :args (@t2623)) % 1.03/1.26 (step @p5405 :rule cong :premises (@p5404) :args (@t2624)) % 1.03/1.26 (step @p5406 :rule cong :premises (@p5405) :args (@t2625)) % 1.03/1.26 (step @p5407 :rule refl :args (@t2619)) % 1.03/1.26 (step @p5408 :rule nary_cong :premises (@p5407 @p5406) :args (@t2626)) % 1.03/1.26 (step @p5409 :rule cong :premises (@p5408) :args (@t2627)) % 1.03/1.26 (step @p5410 :rule cong :premises (@p5398 @p5409) :args ((=> @t2616 @t2627))) % 1.03/1.26 (step @p5411 :rule trans :premises (@p5410 @p5399)) % 1.03/1.26 (assume-push @p5479 @t2616) % 1.03/1.26 (step @p5413 :rule skolemize :premises (@p5380)) % 1.03/1.26 (step-pop @p5480 :rule scope :premises (@p5413)) % 1.03/1.26 (step @p5414 :rule process_scope :premises (@p5480) :args (@t2627)) % 1.03/1.26 (step @p5416 :rule eq_resolve :premises (@p5414 @p5411)) % 1.03/1.26 (step @p5417 :rule implies_elim :premises (@p5416)) % 1.03/1.26 (step @p5418 :rule eq_resolve :premises (@p5417 @p5383)) % 1.03/1.26 (step @p5419 :rule chain_m_resolution :premises (@p5418 @p5380) :args (@t2615 @t2628 (@list @t884))) % 1.03/1.26 (step @p5420 :rule bool-double-not-elim :args (@t2612)) % 1.03/1.26 (step @p5421 :rule refl :args (@t2614)) % 1.03/1.26 (step @p5422 :rule nary_cong :premises (@p5421 @p5420) :args ((or @t2614 (not @t2613)))) % 1.03/1.26 (step @p5423 :rule cnf_or_neg :args (@t2614 0)) % 1.03/1.26 (step @p5424 :rule eq_resolve :premises (@p5423 @p5422)) % 1.03/1.26 (step @p5425 :rule reordering :premises (@p5424) :args ((or @t2612 @t2614))) % 1.03/1.26 (step @p5426 :rule chain_m_resolution :premises (@p5425 @p5419) :args (@t2612 @t2628 @t2629)) % 1.03/1.26 (step @p5427 :rule cnf_or_pos :args (@t2631)) % 1.03/1.26 (step @p5428 :rule reordering :premises (@p5427) :args ((or @t2613 @t2630 (not @t2631)))) % 1.03/1.26 (step @p5429 :rule chain_m_resolution :premises (@p5428 @p5426 @p5263) :args (@t2630 (@list false false) (@list @t2612 @t2631))) % 1.03/1.26 (step @p5430 :rule bool-double-not-elim :args (@t2610)) % 1.03/1.26 (step @p5431 :rule nary_cong :premises (@p5421 @p5430) :args ((or @t2614 (not @t2611)))) % 1.03/1.26 (step @p5432 :rule cnf_or_neg :args (@t2614 1)) % 1.03/1.26 (step @p5433 :rule eq_resolve :premises (@p5432 @p5431)) % 1.03/1.26 (step @p5434 :rule reordering :premises (@p5433) :args ((or @t2610 @t2614))) % 1.03/1.26 (step @p5435 :rule chain_m_resolution :premises (@p5434 @p5419) :args (@t2610 @t2628 @t2629)) % 1.03/1.26 (step @p5436 :rule alpha_equiv :args (@t2610 (@list @t4 @t852) (@list @t19 @t862))) % 1.03/1.26 (step @p5437 :rule equiv_elim1 :premises (@p5436)) % 1.03/1.26 (step @p5438 :rule chain_m_resolution :premises (@p5437 @p5435) :args (@t2632 @t2633 (@list @t2610))) % 1.03/1.26 (step @p5439 :rule eq-symm :args (@t2634 @t2604)) % 1.03/1.26 (step @p5440 :rule beta-reduce :args ((= @t2635 @t2604))) % 1.03/1.26 (step @p5441 :rule refl :args (@t2634)) % 1.03/1.26 (step @p5442 :rule cong :premises (@p5441 @p5440) :args (@t2636)) % 1.03/1.26 (step @p5443 :rule trans :premises (@p5442 @p5439)) % 1.03/1.26 (step @p5444 :rule cong :premises (@p5443) :args (@t2637)) % 1.03/1.26 (step @p5445 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 1.03/1.26 (step @p5446 :rule eq-refl :args (@t2635)) % 1.03/1.26 (step @p5447 :rule cong :premises (@p5446) :args ((forall @t9 (= @t2635 @t2635)))) % 1.03/1.26 (step @p5448 :rule trans :premises (@p5447 @p5445)) % 1.03/1.26 (step @p5449 :rule refl :args (@t2635)) % 1.03/1.26 (step @p5450 :rule ho_cong :premises (@p5386 @p728)) % 1.03/1.26 (step @p5451 :rule cong :premises (@p5450 @p5449) :args (@t2636)) % 1.03/1.26 (step @p5452 :rule cong :premises (@p5451) :args (@t2637)) % 1.03/1.26 (step @p5453 :rule trans :premises (@p5452 @p5448)) % 1.03/1.26 (step @p5454 :rule true_elim :premises (@p5453)) % 1.03/1.26 (step @p5455 :rule eq_resolve :premises (@p5454 @p5444)) % 1.03/1.26 (step @p5456 :rule eq-symm :args (@t2599 @t867)) % 1.03/1.26 (step @p5457 :rule cong :premises (@p5456) :args (@t2638)) % 1.03/1.26 (step @p5458 :rule refl :args (@t2601)) % 1.03/1.26 (step @p5459 :rule refl :args (@t2603)) % 1.03/1.26 (step @p5460 :rule nary_cong :premises (@p5459 @p5458 @p5457) :args (@t2639)) % 1.03/1.26 (step @p5461 :rule cong :premises (@p5460) :args (@t2640)) % 1.03/1.26 (step @p5462 :rule cong :premises (@p5461) :args (@t2641)) % 1.03/1.26 (step @p5463 :rule refl :args (@t2630)) % 1.03/1.26 (step @p5464 :rule cong :premises (@p5463 @p5462) :args ((= @t2630 @t2641))) % 1.03/1.26 (step @p5465 :rule eq-symm :args (@t2641 @t2630)) % 1.03/1.26 (step @p5466 :rule trans :premises (@p5465 @p5464)) % 1.03/1.26 (step @p5467 :rule refl :args (@t2642)) % 1.03/1.26 (step @p5468 :rule cong :premises (@p5467 @p5466) :args ((=> @t2642 @t2643))) % 1.03/1.26 (assume-push @p5481 @t2642) % 1.03/1.26 (step @p5470 :rule instantiate :premises (@p5455) :args ((@list @t2599))) % 1.03/1.26 (step-pop @p5482 :rule scope :premises (@p5470)) % 1.03/1.26 (step @p5471 :rule process_scope :premises (@p5482) :args (@t2643)) % 1.03/1.26 (step @p5473 :rule eq_resolve :premises (@p5471 @p5468)) % 1.03/1.26 (step @p5474 :rule implies_elim :premises (@p5473)) % 1.03/1.26 (step @p5475 :rule chain_m_resolution :premises (@p5474 @p5455) :args (@t2645 @t2633 (@list @t2642))) % 1.03/1.26 (step @p5476 :rule cnf_equiv_pos1 :args (@t2645)) % 1.03/1.26 (step @p5477 :rule reordering :premises (@p5476) :args ((or (not @t2630) @t2644 (not @t2645)))) % 1.03/1.26 (step @p5478 false :rule chain_m_resolution :premises (@p5477 @p5475 @p5438 @p5429) :args (false (@list false false false) (@list @t2645 @t2632 @t2630))) % 1.03/1.26 ) % 1.03/1.26 % SZS output end Proof % 1.03/1.26 % cvc5 exiting %------------------------------------------------------------------------------