%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU621^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:52:27 AM UTC 2026 % Result : Theorem 0.40s 0.99s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU621^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n009.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 17:43:29 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.54 %----Proving TH0 % 0.40/0.99 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.99 % SZS status Theorem % 0.40/0.99 % SZS output start Proof % 0.40/0.99 ( % 0.40/0.99 (declare-sort $$unsorted 0) % 0.40/0.99 (declare-const tptp.emptyset $$unsorted) % 0.40/0.99 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.99 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.40/0.99 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.99 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.99 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.40/0.99 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.40/0.99 (declare-const tptp.kpairp Bool) % 0.40/0.99 (declare-const tptp.secondinupair Bool) % 0.40/0.99 (declare-const tptp.symdiffIneg2 Bool) % 0.40/0.99 (declare-const tptp.symdiffI2 Bool) % 0.40/0.99 (declare-const tptp.symdiffI1 Bool) % 0.40/0.99 (declare-const tptp.setminusIRneg Bool) % 0.40/0.99 (declare-const tptp.setminusILneg Bool) % 0.40/0.99 (declare-const tptp.setminusERneg Bool) % 0.40/0.99 (declare-const tptp.quantDeMorgan1 Bool) % 0.40/0.99 (declare-const tptp.sepSubset Bool) % 0.40/0.99 (declare-const tptp.emptyE1 Bool) % 0.40/0.99 (declare-const tptp.inPowerset Bool) % 0.40/0.99 (declare-const tptp.upairsetIR Bool) % 0.40/0.99 (declare-const tptp.setunion__Cong Bool) % 0.40/0.99 (declare-const tptp.powersetE1 Bool) % 0.40/0.99 (declare-const tptp.singletonsswitch Bool) % 0.40/0.99 (declare-const tptp.subset2powerset Bool) % 0.40/0.99 (declare-const tptp.notinsingleton Bool) % 0.40/0.99 (declare-const tptp.subPowSU Bool) % 0.40/0.99 (declare-const tptp.binintersectSubset5 Bool) % 0.40/0.99 (declare-const tptp.exuE1 Bool) % 0.40/0.99 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.99 (declare-const tptp.setunionI Bool) % 0.40/0.99 (declare-const tptp.notdexE Bool) % 0.40/0.99 (declare-const tptp.powersetE Bool) % 0.40/0.99 (declare-const tptp.omegaSAx Bool) % 0.40/0.99 (declare-const tptp.setadjoinE Bool) % 0.40/0.99 (declare-const tptp.emptyinunitempty Bool) % 0.40/0.99 (declare-const tptp.setminusEL Bool) % 0.40/0.99 (declare-const tptp.descr__Cong Bool) % 0.40/0.99 (declare-const tptp.nonemptyI1 Bool) % 0.40/0.99 (declare-const tptp.emptysetAx Bool) % 0.40/0.99 (declare-const tptp.nonemptyI Bool) % 0.40/0.99 (declare-const tptp.upairsetIL Bool) % 0.40/0.99 (declare-const tptp.powersetI1 Bool) % 0.40/0.99 (declare-const tptp.eqinunit Bool) % 0.40/0.99 (declare-const tptp.upairsetE Bool) % 0.40/0.99 (declare-const tptp.replAx Bool) % 0.40/0.99 (declare-const tptp.powersetI Bool) % 0.40/0.99 (declare-const tptp.setukpairIR Bool) % 0.40/0.99 (declare-const tptp.quantDeMorgan4 Bool) % 0.40/0.99 (declare-const tptp.setunionE Bool) % 0.40/0.99 (declare-const tptp.omegaIndAx Bool) % 0.40/0.99 (declare-const tptp.setunionAx Bool) % 0.40/0.99 (declare-const tptp.setoftrueEq Bool) % 0.40/0.99 (declare-const tptp.foundationAx Bool) % 0.40/0.99 (declare-const tptp.emptysetimpfalse Bool) % 0.40/0.99 (declare-const tptp.setminusELneg Bool) % 0.40/0.99 (declare-const tptp.powersetAx Bool) % 0.40/0.99 (declare-const tptp.subsetemptysetimpeq Bool) % 0.40/0.99 (declare-const tptp.setminusER Bool) % 0.40/0.99 (declare-const tptp.setadjoinAx Bool) % 0.40/0.99 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.99 (declare-const tptp.omega $$unsorted) % 0.40/0.99 (declare-const tptp.emptyInPowerset Bool) % 0.40/0.99 (declare-const tptp.eqimpsubset1 Bool) % 0.40/0.99 (declare-const tptp.binunionE Bool) % 0.40/0.99 (declare-const tptp.dsetconstrER Bool) % 0.40/0.99 (declare-const tptp.notdallE Bool) % 0.40/0.99 (declare-const tptp.binunionRsub Bool) % 0.40/0.99 (declare-const tptp.exuE2 Bool) % 0.40/0.99 (declare-const tptp.setminusSubset2 Bool) % 0.40/0.99 (declare-const tptp.dsetconstr__Cong Bool) % 0.40/0.99 (declare-const tptp.setadjoinIR Bool) % 0.40/0.99 (declare-const tptp.notinemptyset Bool) % 0.40/0.99 (declare-const tptp.subsetRefl Bool) % 0.40/0.99 (declare-const tptp.uniqinunit Bool) % 0.40/0.99 (declare-const tptp.exuE3u Bool) % 0.40/0.99 (declare-const tptp.subsetTrans Bool) % 0.40/0.99 (declare-const tptp.wellorderingAx Bool) % 0.40/0.99 (declare-const tptp.setukpairIL Bool) % 0.40/0.99 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.40/0.99 (declare-const tptp.vacuousDall Bool) % 0.40/0.99 (declare-const tptp.sepInPowerset Bool) % 0.40/0.99 (declare-const tptp.nonemptyImpWitness Bool) % 0.40/0.99 (declare-const tptp.binintersectLsub Bool) % 0.40/0.99 (declare-const tptp.setadjoinOr Bool) % 0.40/0.99 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.40/0.99 (declare-const tptp.upairset2IR Bool) % 0.40/0.99 (declare-const tptp.dsetconstrI Bool) % 0.40/0.99 (declare-const tptp.setminusSubset1 Bool) % 0.40/0.99 (declare-const tptp.emptyinPowerset Bool) % 0.40/0.99 (declare-const tptp.kpairiskpair Bool) % 0.40/0.99 (declare-const tptp.prop2setI Bool) % 0.40/0.99 (declare-const tptp.dsetconstrEL Bool) % 0.40/0.99 (declare-const tptp.prop2set2propI Bool) % 0.40/0.99 (declare-const tptp.binunionLsub Bool) % 0.40/0.99 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.40/0.99 (declare-const tptp.exuI2 Bool) % 0.40/0.99 (declare-const tptp.prop2setE Bool) % 0.40/0.99 (declare-const tptp.exuEu Bool) % 0.40/0.99 (declare-const tptp.setadjoinIL Bool) % 0.40/0.99 (declare-const tptp.omega__Cong Bool) % 0.40/0.99 (declare-const tptp.setminusI Bool) % 0.40/0.99 (declare-const tptp.emptysetE Bool) % 0.40/0.99 (declare-const tptp.symdiffIneg1 Bool) % 0.40/0.99 (declare-const tptp.notequalI1 Bool) % 0.40/0.99 (declare-const tptp.emptyI Bool) % 0.40/0.99 (declare-const tptp.quantDeMorgan2 Bool) % 0.40/0.99 (declare-const tptp.noeltsimpempty Bool) % 0.40/0.99 (declare-const tptp.subsetI1 Bool) % 0.40/0.99 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.40/0.99 (declare-const tptp.subsetE Bool) % 0.40/0.99 (declare-const tptp.exuI3 Bool) % 0.40/0.99 (declare-const tptp.subsetE2 Bool) % 0.40/0.99 (declare-const tptp.inCongP Bool) % 0.40/0.99 (declare-const tptp.in__Cong Bool) % 0.40/0.99 (declare-const tptp.exu__Cong Bool) % 0.40/0.99 (declare-const tptp.exuE3e Bool) % 0.40/0.99 (declare-const tptp.binintersectSubset3 Bool) % 0.40/0.99 (declare-const tptp.setadjoin__Cong Bool) % 0.40/0.99 (declare-const tptp.emptyset__Cong Bool) % 0.40/0.99 (declare-const tptp.binintersectRsub Bool) % 0.40/0.99 (declare-const tptp.nonemptyE1 Bool) % 0.40/0.99 (declare-const tptp.setextAx Bool) % 0.40/0.99 (declare-const tptp.powerset__Cong Bool) % 0.40/0.99 (declare-const tptp.bs114d Bool) % 0.40/0.99 (declare-const tptp.setminusLsub Bool) % 0.40/0.99 (declare-const tptp.eqimpsubset2 Bool) % 0.40/0.99 (declare-const tptp.symdiffE Bool) % 0.40/0.99 (declare-const tptp.omega0Ax Bool) % 0.40/0.99 (declare-const tptp.subsetI2 Bool) % 0.40/0.99 (declare-const tptp.emptysetsubset Bool) % 0.40/0.99 (declare-const tptp.notsubsetI Bool) % 0.40/0.99 (declare-const tptp.notequalI2 Bool) % 0.40/0.99 (declare-const tptp.setadjoinSub Bool) % 0.40/0.99 (declare-const tptp.setadjoinSub2 Bool) % 0.40/0.99 (declare-const tptp.disjointsetsI1 Bool) % 0.40/0.99 (declare-const tptp.setextsub Bool) % 0.40/0.99 (declare-const tptp.setbeta Bool) % 0.40/0.99 (declare-const tptp.binintersectSubset4 Bool) % 0.40/0.99 (declare-const tptp.powersetsubset Bool) % 0.40/0.99 (declare-const tptp.binunionIL Bool) % 0.40/0.99 (declare-const tptp.binunionIR Bool) % 0.40/0.99 (declare-const tptp.descrp Bool) % 0.40/0.99 (declare-const tptp.quantDeMorgan3 Bool) % 0.40/0.99 (declare-const tptp.binunionEcases Bool) % 0.40/0.99 (declare-const tptp.exuI1 Bool) % 0.40/0.99 (declare-const tptp.binintersectI Bool) % 0.40/0.99 (declare-const tptp.binintersectEL Bool) % 0.40/0.99 (declare-const tptp.binintersectSubset2 Bool) % 0.40/0.99 (declare-const tptp.setext Bool) % 0.40/0.99 (declare-const tptp.binintersectER Bool) % 0.40/0.99 (declare-const tptp.binintersectSubset1 Bool) % 0.40/0.99 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.99 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.40/0.99 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.40/0.99 (define tptp.iskpair () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.setadjoin _let_2))) (let ((_let_4 (@var "A" $$unsorted))) (let ((_let_5 (_ tptp.setunion _let_4))) (lambda (@list _let_4) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_5) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_5) (= _let_4 (_ (_ tptp.setadjoin (_ _let_3 tptp.emptyset)) (_ (_ tptp.setadjoin (_ _let_3 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))) tptp.emptyset)))))))))))))) % 0.40/0.99 (define tptp.kpair () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.setadjoin _let_2))) (lambda (@list _let_2 _let_1) (_ (_ tptp.setadjoin (_ _let_3 tptp.emptyset)) (_ (_ tptp.setadjoin (_ _let_3 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))) tptp.emptyset))))))) % 0.40/0.99 (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" $$unsorted))) (lambda (@list _let_5 _let_4) (_ (_ tptp.dsetconstr (_ tptp.powerset (_ tptp.powerset (_ (_ tptp.binunion _let_5) _let_4)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_5) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_4) (= _let_3 (_ (_ tptp.kpair _let_2) _let_1))))))))))))))) % 0.40/0.99 (define @t1 () (@var "B" $$unsorted)) % 0.40/0.99 (define @t2 () (@var "A" $$unsorted)) % 0.40/0.99 (define @t3 () (= @t2 @t1)) % 0.40/0.99 (define @t4 () (@var "Xx" $$unsorted)) % 0.40/0.99 (define @t5 () (_ tptp.in @t4)) % 0.40/0.99 (define @t6 () (_ @t5 @t1)) % 0.40/0.99 (define @t7 () (_ @t5 @t2)) % 0.40/0.99 (define @t8 () (= @t7 @t6)) % 0.40/0.99 (define @t9 () (@list @t4)) % 0.40/0.99 (define @t10 () (forall @t9 @t8)) % 0.40/0.99 (define @t11 () (=> @t10 @t3)) % 0.40/0.99 (define @t12 () (@list @t2 @t1)) % 0.40/0.99 (define @t13 () (forall @t12 @t11)) % 0.40/0.99 (define @t14 () (= tptp.setextAx @t13)) % 0.40/0.99 (define @t15 () (_ @t5 tptp.emptyset)) % 0.40/0.99 (define @t16 () (not @t15)) % 0.40/0.99 (define @t17 () (forall @t9 @t16)) % 0.40/0.99 (define @t18 () (= tptp.emptysetAx @t17)) % 0.40/0.99 (define @t19 () (@var "Xy" $$unsorted)) % 0.40/0.99 (define @t20 () (_ tptp.in @t19)) % 0.40/0.99 (define @t21 () (_ @t20 @t2)) % 0.40/0.99 (define @t22 () (= @t19 @t4)) % 0.40/0.99 (define @t23 () (or @t22 @t21)) % 0.40/0.99 (define @t24 () (_ tptp.setadjoin @t4)) % 0.40/0.99 (define @t25 () (_ @t24 @t2)) % 0.40/0.99 (define @t26 () (_ @t20 @t25)) % 0.40/0.99 (define @t27 () (= @t26 @t23)) % 0.40/0.99 (define @t28 () (@list @t4 @t2 @t19)) % 0.40/0.99 (define @t29 () (forall @t28 @t27)) % 0.40/0.99 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.40/0.99 (define @t31 () (=> @t6 @t7)) % 0.40/0.99 (define @t32 () (forall @t9 @t31)) % 0.40/0.99 (define @t33 () (_ tptp.powerset @t2)) % 0.40/0.99 (define @t34 () (_ tptp.in @t1)) % 0.40/0.99 (define @t35 () (_ @t34 @t33)) % 0.40/0.99 (define @t36 () (= @t35 @t32)) % 0.40/0.99 (define @t37 () (forall @t12 @t36)) % 0.40/0.99 (define @t38 () (= tptp.powersetAx @t37)) % 0.40/0.99 (define @t39 () (_ @t34 @t2)) % 0.40/0.99 (define @t40 () (and @t6 @t39)) % 0.40/0.99 (define @t41 () (@list @t1)) % 0.40/0.99 (define @t42 () (exists @t41 @t40)) % 0.40/0.99 (define @t43 () (_ tptp.setunion @t2)) % 0.40/0.99 (define @t44 () (_ @t5 @t43)) % 0.40/0.99 (define @t45 () (= @t44 @t42)) % 0.40/0.99 (define @t46 () (@list @t2 @t4)) % 0.40/0.99 (define @t47 () (forall @t46 @t45)) % 0.40/0.99 (define @t48 () (= tptp.setunionAx @t47)) % 0.40/0.99 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.40/0.99 (define @t50 () (_ @t49 tptp.omega)) % 0.40/0.99 (define @t51 () (_ @t24 @t4)) % 0.40/0.99 (define @t52 () (_ tptp.in @t51)) % 0.40/0.99 (define @t53 () (_ @t52 tptp.omega)) % 0.40/0.99 (define @t54 () (_ @t5 tptp.omega)) % 0.40/0.99 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.40/0.99 (define @t56 () (= tptp.omegaSAx @t55)) % 0.40/0.99 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.40/0.99 (define @t58 () (_ @t52 @t2)) % 0.40/0.99 (define @t59 () (and @t54 @t7)) % 0.40/0.99 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.40/0.99 (define @t61 () (_ @t49 @t2)) % 0.40/0.99 (define @t62 () (and @t61 @t60)) % 0.40/0.99 (define @t63 () (=> @t62 @t57)) % 0.40/0.99 (define @t64 () (@list @t2)) % 0.40/0.99 (define @t65 () (forall @t64 @t63)) % 0.40/0.99 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.40/0.99 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.40/0.99 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.40/0.99 (define @t69 () (and @t21 @t68)) % 0.40/0.99 (define @t70 () (@list @t19)) % 0.40/0.99 (define @t71 () (exists @t70 @t69)) % 0.40/0.99 (define @t72 () (= @t6 @t71)) % 0.40/0.99 (define @t73 () (forall @t9 @t72)) % 0.40/0.99 (define @t74 () (exists @t41 @t73)) % 0.40/0.99 (define @t75 () (_ @t67 @t4)) % 0.40/0.99 (define @t76 () (_ @t75 @t19)) % 0.40/0.99 (define @t77 () (lambda @t70 @t76)) % 0.40/0.99 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.40/0.99 (define @t79 () (forall @t9 @t78)) % 0.40/0.99 (define @t80 () (=> @t79 @t74)) % 0.40/0.99 (define @t81 () (@list @t67 @t2)) % 0.40/0.99 (define @t82 () (forall @t81 @t80)) % 0.40/0.99 (define @t83 () (= tptp.replAx @t82)) % 0.40/0.99 (define @t84 () (and @t6 @t7)) % 0.40/0.99 (define @t85 () (exists @t9 @t84)) % 0.40/0.99 (define @t86 () (not @t85)) % 0.40/0.99 (define @t87 () (and @t39 @t86)) % 0.40/0.99 (define @t88 () (exists @t41 @t87)) % 0.40/0.99 (define @t89 () (exists @t9 @t7)) % 0.40/0.99 (define @t90 () (=> @t89 @t88)) % 0.40/0.99 (define @t91 () (forall @t64 @t90)) % 0.40/0.99 (define @t92 () (= tptp.foundationAx @t91)) % 0.40/0.99 (define @t93 () (@var "E" $$unsorted)) % 0.40/0.99 (define @t94 () (_ @t5 @t93)) % 0.40/0.99 (define @t95 () (@var "D" $$unsorted)) % 0.40/0.99 (define @t96 () (_ @t20 @t95)) % 0.40/0.99 (define @t97 () (_ @t20 @t93)) % 0.40/0.99 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.40/0.99 (define @t99 () (or @t98 @t94)) % 0.40/0.99 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.40/0.99 (define @t101 () (=> @t100 @t99)) % 0.40/0.99 (define @t102 () (@list @t93)) % 0.40/0.99 (define @t103 () (forall @t102 @t101)) % 0.40/0.99 (define @t104 () (@var "C" $$unsorted)) % 0.40/0.99 (define @t105 () (_ @t20 @t104)) % 0.40/0.99 (define @t106 () (and @t96 @t105)) % 0.40/0.99 (define @t107 () (exists @t70 @t106)) % 0.40/0.99 (define @t108 () (not @t107)) % 0.40/0.99 (define @t109 () (_ @t5 @t104)) % 0.40/0.99 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.40/0.99 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.40/0.99 (define @t112 () (@list @t95 @t4)) % 0.40/0.99 (define @t113 () (exists @t112 @t111)) % 0.40/0.99 (define @t114 () (exists @t9 @t109)) % 0.40/0.99 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.40/0.99 (define @t116 () (and @t115 @t114)) % 0.40/0.99 (define @t117 () (=> @t116 @t113)) % 0.40/0.99 (define @t118 () (@list @t104)) % 0.40/0.99 (define @t119 () (forall @t118 @t117)) % 0.40/0.99 (define @t120 () (_ @t5 @t95)) % 0.40/0.99 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.40/0.99 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.40/0.99 (define @t123 () (or @t122 @t121)) % 0.40/0.99 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.40/0.99 (define @t125 () (and @t124 @t110)) % 0.40/0.99 (define @t126 () (=> @t125 @t123)) % 0.40/0.99 (define @t127 () (@list @t104 @t95)) % 0.40/0.99 (define @t128 () (forall @t127 @t126)) % 0.40/0.99 (define @t129 () (= @t4 @t19)) % 0.40/0.99 (define @t130 () (= @t109 @t105)) % 0.40/0.99 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.40/0.99 (define @t132 () (=> @t131 @t129)) % 0.40/0.99 (define @t133 () (and @t7 @t21)) % 0.40/0.99 (define @t134 () (=> @t133 @t132)) % 0.40/0.99 (define @t135 () (@list @t4 @t19)) % 0.40/0.99 (define @t136 () (forall @t135 @t134)) % 0.40/0.99 (define @t137 () (=> @t124 @t115)) % 0.40/0.99 (define @t138 () (forall @t118 @t137)) % 0.40/0.99 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.40/0.99 (define @t140 () (exists @t41 @t139)) % 0.40/0.99 (define @t141 () (forall @t64 @t140)) % 0.40/0.99 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.40/0.99 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.40/0.99 (define @t144 () (_ @t143 @t4)) % 0.40/0.99 (define @t145 () (lambda @t9 @t144)) % 0.40/0.99 (define @t146 () (_ tptp.descr @t145)) % 0.40/0.99 (define @t147 () (_ @t143 @t146)) % 0.40/0.99 (define @t148 () (_ tptp.exu @t145)) % 0.40/0.99 (define @t149 () (=> @t148 @t147)) % 0.40/0.99 (define @t150 () (@list @t143)) % 0.40/0.99 (define @t151 () (forall @t150 @t149)) % 0.40/0.99 (define @t152 () (= tptp.descrp @t151)) % 0.40/0.99 (define @t153 () (_ @t143 @t19)) % 0.40/0.99 (define @t154 () (lambda @t70 @t153)) % 0.40/0.99 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.40/0.99 (define @t156 () (_ @t155 @t154)) % 0.40/0.99 (define @t157 () (_ @t5 @t156)) % 0.40/0.99 (define @t158 () (=> @t144 @t157)) % 0.40/0.99 (define @t159 () (@list @t2 @t143 @t4)) % 0.40/0.99 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.40/0.99 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.40/0.99 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.40/0.99 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.40/0.99 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.40/0.99 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.40/0.99 (define @t166 () (=> @t153 @t129)) % 0.40/0.99 (define @t167 () (forall @t70 @t166)) % 0.40/0.99 (define @t168 () (and @t144 @t167)) % 0.40/0.99 (define @t169 () (exists @t9 @t168)) % 0.40/0.99 (define @t170 () (=> @t148 @t169)) % 0.40/0.99 (define @t171 () (forall @t150 @t170)) % 0.40/0.99 (define @t172 () (= tptp.exuE1 @t171)) % 0.40/0.99 (define @t173 () (@var "Xphi" Bool)) % 0.40/0.99 (define @t174 () (_ tptp.prop2set @t173)) % 0.40/0.99 (define @t175 () (_ @t5 @t174)) % 0.40/0.99 (define @t176 () (@list @t173 @t4)) % 0.40/0.99 (define @t177 () (forall @t176 (=> @t175 @t173))) % 0.40/0.99 (define @t178 () (= tptp.prop2setE @t177)) % 0.40/0.99 (define @t179 () (@list @t173)) % 0.40/0.99 (define @t180 () (forall @t179 @t173)) % 0.40/0.99 (define @t181 () (=> @t15 @t180)) % 0.40/0.99 (define @t182 () (forall @t9 @t181)) % 0.40/0.99 (define @t183 () (= tptp.emptysetE @t182)) % 0.40/0.99 (define @t184 () (forall @t9 (=> @t15 false))) % 0.40/0.99 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 0.40/0.99 (define @t186 () (exists @t9 @t144)) % 0.40/0.99 (define @t187 () (=> @t148 @t186)) % 0.40/0.99 (define @t188 () (forall @t150 @t187)) % 0.40/0.99 (define @t189 () (= tptp.exuE3e @t188)) % 0.40/0.99 (define @t190 () (=> @t32 @t3)) % 0.40/0.99 (define @t191 () (=> @t7 @t6)) % 0.40/0.99 (define @t192 () (forall @t9 @t191)) % 0.40/0.99 (define @t193 () (=> @t192 @t190)) % 0.40/0.99 (define @t194 () (forall @t12 @t193)) % 0.40/0.99 (define @t195 () (= tptp.setext @t194)) % 0.40/0.99 (define @t196 () (= @t2 tptp.emptyset)) % 0.40/0.99 (define @t197 () (not @t7)) % 0.40/0.99 (define @t198 () (forall @t9 @t197)) % 0.40/0.99 (define @t199 () (=> @t198 @t196)) % 0.40/0.99 (define @t200 () (forall @t64 @t199)) % 0.40/0.99 (define @t201 () (= tptp.emptyI @t200)) % 0.40/0.99 (define @t202 () (=> @t7 (= @t157 @t144))) % 0.40/0.99 (define @t203 () (forall @t159 @t202)) % 0.40/0.99 (define @t204 () (= tptp.setbeta @t203)) % 0.40/0.99 (define @t205 () (_ tptp.nonempty @t2)) % 0.40/0.99 (define @t206 () (=> @t205 @t89)) % 0.40/0.99 (define @t207 () (forall @t64 @t206)) % 0.40/0.99 (define @t208 () (= tptp.nonemptyE1 @t207)) % 0.40/0.99 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 0.40/0.99 (define @t210 () (=> @t7 @t209)) % 0.40/0.99 (define @t211 () (forall @t159 @t210)) % 0.40/0.99 (define @t212 () (= tptp.nonemptyI @t211)) % 0.40/0.99 (define @t213 () (=> @t89 @t205)) % 0.40/0.99 (define @t214 () (forall @t64 @t213)) % 0.40/0.99 (define @t215 () (= tptp.nonemptyI1 @t214)) % 0.40/0.99 (define @t216 () (_ @t24 @t19)) % 0.40/0.99 (define @t217 () (_ @t5 @t216)) % 0.40/0.99 (define @t218 () (forall @t135 @t217)) % 0.40/0.99 (define @t219 () (= tptp.setadjoinIL @t218)) % 0.40/0.99 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.40/0.99 (define @t221 () (_ @t49 @t220)) % 0.40/0.99 (define @t222 () (forall @t28 (=> @t21 @t26))) % 0.40/0.99 (define @t223 () (= tptp.setadjoinIR @t222)) % 0.40/0.99 (define @t224 () (=> @t21 @t173)) % 0.40/0.99 (define @t225 () (=> @t224 @t173)) % 0.40/0.99 (define @t226 () (=> @t22 @t173)) % 0.40/0.99 (define @t227 () (=> @t226 @t225)) % 0.40/0.99 (define @t228 () (forall @t179 @t227)) % 0.40/0.99 (define @t229 () (=> @t26 @t228)) % 0.40/0.99 (define @t230 () (forall @t28 @t229)) % 0.40/0.99 (define @t231 () (= tptp.setadjoinE @t230)) % 0.40/0.99 (define @t232 () (=> @t26 @t23)) % 0.40/0.99 (define @t233 () (forall @t28 @t232)) % 0.40/0.99 (define @t234 () (= tptp.setadjoinOr @t233)) % 0.40/0.99 (define @t235 () (lambda @t9 true)) % 0.40/0.99 (define @t236 () (= (_ @t155 @t235) @t2)) % 0.40/0.99 (define @t237 () (forall @t64 @t236)) % 0.40/0.99 (define @t238 () (= tptp.setoftrueEq @t237)) % 0.40/0.99 (define @t239 () (=> @t32 @t35)) % 0.40/0.99 (define @t240 () (forall @t12 @t239)) % 0.40/0.99 (define @t241 () (= tptp.powersetI @t240)) % 0.40/0.99 (define @t242 () (_ @t49 @t33)) % 0.40/0.99 (define @t243 () (forall @t64 @t242)) % 0.40/0.99 (define @t244 () (= tptp.emptyinPowerset @t243)) % 0.40/0.99 (define @t245 () (@list @t2 @t1 @t4)) % 0.40/0.99 (define @t246 () (forall @t245 (=> @t35 @t31))) % 0.40/0.99 (define @t247 () (= tptp.powersetE @t246)) % 0.40/0.99 (define @t248 () (=> @t39 @t44)) % 0.40/0.99 (define @t249 () (@list @t2 @t4 @t1)) % 0.40/0.99 (define @t250 () (forall @t249 (=> @t6 @t248))) % 0.40/0.99 (define @t251 () (= tptp.setunionI @t250)) % 0.40/0.99 (define @t252 () (=> @t39 @t173)) % 0.40/0.99 (define @t253 () (forall @t41 (=> @t6 @t252))) % 0.40/0.99 (define @t254 () (=> @t253 @t173)) % 0.40/0.99 (define @t255 () (forall @t179 @t254)) % 0.40/0.99 (define @t256 () (=> @t44 @t255)) % 0.40/0.99 (define @t257 () (forall @t46 @t256)) % 0.40/0.99 (define @t258 () (= tptp.setunionE @t257)) % 0.40/0.99 (define @t259 () (_ tptp.powerset @t43)) % 0.40/0.99 (define @t260 () (_ @t5 @t259)) % 0.40/0.99 (define @t261 () (forall @t46 (=> @t7 @t260))) % 0.40/0.99 (define @t262 () (= tptp.subPowSU @t261)) % 0.40/0.99 (define @t263 () (= @t153 @t22)) % 0.40/0.99 (define @t264 () (forall @t70 @t263)) % 0.40/0.99 (define @t265 () (exists @t9 @t264)) % 0.40/0.99 (define @t266 () (=> @t148 @t265)) % 0.40/0.99 (define @t267 () (forall @t150 @t266)) % 0.40/0.99 (define @t268 () (= tptp.exuE2 @t267)) % 0.40/0.99 (define @t269 () (and @t7 true)) % 0.40/0.99 (define @t270 () (exists @t9 @t269)) % 0.40/0.99 (define @t271 () (=> @t205 @t270)) % 0.40/0.99 (define @t272 () (forall @t64 @t271)) % 0.40/0.99 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 0.40/0.99 (define @t274 () (_ tptp.setadjoin @t19)) % 0.40/0.99 (define @t275 () (_ @t274 tptp.emptyset)) % 0.40/0.99 (define @t276 () (_ @t5 @t275)) % 0.40/0.99 (define @t277 () (forall @t135 (=> @t276 @t129))) % 0.40/0.99 (define @t278 () (= tptp.uniqinunit @t277)) % 0.40/0.99 (define @t279 () (_ @t24 tptp.emptyset)) % 0.40/0.99 (define @t280 () (_ @t20 @t279)) % 0.40/0.99 (define @t281 () (not @t280)) % 0.40/0.99 (define @t282 () (not @t129)) % 0.40/0.99 (define @t283 () (forall @t135 (=> @t282 @t281))) % 0.40/0.99 (define @t284 () (= tptp.notinsingleton @t283)) % 0.40/0.99 (define @t285 () (forall @t135 (=> @t129 @t276))) % 0.40/0.99 (define @t286 () (= tptp.eqinunit @t285)) % 0.40/0.99 (define @t287 () (forall @t135 (=> @t276 @t280))) % 0.40/0.99 (define @t288 () (= tptp.singletonsswitch @t287)) % 0.40/0.99 (define @t289 () (@var "Xz" $$unsorted)) % 0.40/0.99 (define @t290 () (or (= @t289 @t4) (= @t289 @t19))) % 0.40/0.99 (define @t291 () (_ @t24 @t275)) % 0.40/0.99 (define @t292 () (_ tptp.in @t289)) % 0.40/0.99 (define @t293 () (_ @t292 @t291)) % 0.40/0.99 (define @t294 () (=> @t293 @t290)) % 0.40/0.99 (define @t295 () (@list @t4 @t19 @t289)) % 0.40/0.99 (define @t296 () (forall @t295 @t294)) % 0.40/0.99 (define @t297 () (= tptp.upairsetE @t296)) % 0.40/0.99 (define @t298 () (_ @t5 @t291)) % 0.40/0.99 (define @t299 () (forall @t135 @t298)) % 0.40/0.99 (define @t300 () (= tptp.upairsetIL @t299)) % 0.40/0.99 (define @t301 () (_ @t20 @t291)) % 0.40/0.99 (define @t302 () (forall @t135 @t301)) % 0.40/0.99 (define @t303 () (= tptp.upairsetIR @t302)) % 0.40/0.99 (define @t304 () (_ @t155 @t145)) % 0.40/0.99 (define @t305 () (= @t304 tptp.emptyset)) % 0.40/0.99 (define @t306 () (and @t7 @t144)) % 0.40/0.99 (define @t307 () (exists @t9 @t306)) % 0.40/0.99 (define @t308 () (=> @t307 (=> @t305 false))) % 0.40/0.99 (define @t309 () (@list @t2 @t143)) % 0.40/0.99 (define @t310 () (forall @t309 @t308)) % 0.40/0.99 (define @t311 () (= tptp.emptyE1 @t310)) % 0.40/0.99 (define @t312 () (@list @t143 @t4)) % 0.40/0.99 (define @t313 () (forall @t312 (=> @t15 @t144))) % 0.40/0.99 (define @t314 () (= tptp.vacuousDall @t313)) % 0.40/0.99 (define @t315 () (not @t144)) % 0.40/0.99 (define @t316 () (and @t7 @t315)) % 0.40/0.99 (define @t317 () (exists @t9 @t316)) % 0.40/0.99 (define @t318 () (forall @t9 (=> @t7 @t144))) % 0.40/0.99 (define @t319 () (not @t318)) % 0.40/0.99 (define @t320 () (=> @t319 @t317)) % 0.40/0.99 (define @t321 () (forall @t309 @t320)) % 0.40/0.99 (define @t322 () (= tptp.quantDeMorgan1 @t321)) % 0.40/0.99 (define @t323 () (not @t307)) % 0.40/0.99 (define @t324 () (forall @t9 (=> @t7 @t315))) % 0.40/0.99 (define @t325 () (=> @t324 @t323)) % 0.40/0.99 (define @t326 () (forall @t309 @t325)) % 0.40/0.99 (define @t327 () (= tptp.quantDeMorgan2 @t326)) % 0.40/0.99 (define @t328 () (=> @t323 @t324)) % 0.40/0.99 (define @t329 () (forall @t309 @t328)) % 0.40/0.99 (define @t330 () (= tptp.quantDeMorgan3 @t329)) % 0.40/0.99 (define @t331 () (=> @t317 @t319)) % 0.40/0.99 (define @t332 () (forall @t309 @t331)) % 0.40/0.99 (define @t333 () (= tptp.quantDeMorgan4 @t332)) % 0.40/0.99 (define @t334 () (_ @t49 @t174)) % 0.40/0.99 (define @t335 () (forall @t179 (=> @t173 @t334))) % 0.40/0.99 (define @t336 () (= tptp.prop2setI @t335)) % 0.40/0.99 (define @t337 () (_ tptp.set2prop @t174)) % 0.40/0.99 (define @t338 () (forall @t179 (=> @t173 @t337))) % 0.40/0.99 (define @t339 () (= tptp.prop2set2propI @t338)) % 0.40/0.99 (define @t340 () (=> @t169 @t148)) % 0.40/0.99 (define @t341 () (forall @t150 @t340)) % 0.40/0.99 (define @t342 () (= tptp.exuI1 @t341)) % 0.40/0.99 (define @t343 () (forall @t135 (=> @t144 @t166))) % 0.40/0.99 (define @t344 () (=> @t343 @t148)) % 0.40/0.99 (define @t345 () (=> @t186 @t344)) % 0.40/0.99 (define @t346 () (forall @t150 @t345)) % 0.40/0.99 (define @t347 () (= tptp.exuI3 @t346)) % 0.40/0.99 (define @t348 () (=> @t265 @t148)) % 0.40/0.99 (define @t349 () (forall @t150 @t348)) % 0.40/0.99 (define @t350 () (= tptp.exuI2 @t349)) % 0.40/0.99 (define @t351 () (_ @t20 @t1)) % 0.40/0.99 (define @t352 () (=> @t7 @t351)) % 0.40/0.99 (define @t353 () (forall @t135 (=> @t129 @t352))) % 0.40/0.99 (define @t354 () (=> @t3 @t353)) % 0.40/0.99 (define @t355 () (forall @t12 @t354)) % 0.40/0.99 (define @t356 () (= tptp.inCongP @t355)) % 0.40/0.99 (define @t357 () (= @t7 @t351)) % 0.40/0.99 (define @t358 () (forall @t135 (=> @t129 @t357))) % 0.40/0.99 (define @t359 () (=> @t3 @t358)) % 0.40/0.99 (define @t360 () (forall @t12 @t359)) % 0.40/0.99 (define @t361 () (= tptp.in__Cong @t360)) % 0.40/0.99 (define @t362 () (=> @t148 @t343)) % 0.40/0.99 (define @t363 () (forall @t150 @t362)) % 0.40/0.99 (define @t364 () (= tptp.exuE3u @t363)) % 0.40/0.99 (define @t365 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.40/0.99 (define @t366 () (_ @t365 @t4)) % 0.40/0.99 (define @t367 () (lambda @t9 @t366)) % 0.40/0.99 (define @t368 () (_ tptp.exu @t367)) % 0.40/0.99 (define @t369 () (= @t148 @t368)) % 0.40/0.99 (define @t370 () (_ @t365 @t19)) % 0.40/0.99 (define @t371 () (= @t144 @t370)) % 0.40/0.99 (define @t372 () (=> @t129 @t371)) % 0.40/0.99 (define @t373 () (forall @t135 @t372)) % 0.40/0.99 (define @t374 () (=> @t373 @t369)) % 0.40/0.99 (define @t375 () (@list @t143 @t365)) % 0.40/0.99 (define @t376 () (forall @t375 @t374)) % 0.40/0.99 (define @t377 () (= tptp.exu__Cong @t376)) % 0.40/0.99 (define @t378 () (= tptp.emptyset tptp.emptyset)) % 0.40/0.99 (define @t379 () (= tptp.emptyset__Cong @t378)) % 0.40/0.99 (define @t380 () (@var "Xu" $$unsorted)) % 0.40/0.99 (define @t381 () (_ @t274 @t380)) % 0.40/0.99 (define @t382 () (_ @t24 @t289)) % 0.40/0.99 (define @t383 () (= @t382 @t381)) % 0.40/0.99 (define @t384 () (= @t289 @t380)) % 0.40/0.99 (define @t385 () (@list @t289 @t380)) % 0.40/0.99 (define @t386 () (forall @t385 (=> @t384 @t383))) % 0.40/0.99 (define @t387 () (=> @t129 @t386)) % 0.40/0.99 (define @t388 () (forall @t135 @t387)) % 0.40/0.99 (define @t389 () (= tptp.setadjoin__Cong @t388)) % 0.40/0.99 (define @t390 () (_ tptp.powerset @t1)) % 0.40/0.99 (define @t391 () (= @t33 @t390)) % 0.40/0.99 (define @t392 () (forall @t12 (=> @t3 @t391))) % 0.40/0.99 (define @t393 () (= tptp.powerset__Cong @t392)) % 0.40/0.99 (define @t394 () (_ tptp.setunion @t1)) % 0.40/0.99 (define @t395 () (= @t43 @t394)) % 0.40/0.99 (define @t396 () (forall @t12 (=> @t3 @t395))) % 0.40/0.99 (define @t397 () (= tptp.setunion__Cong @t396)) % 0.40/0.99 (define @t398 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.40/0.99 (define @t399 () (= tptp.exuEu @t363)) % 0.40/0.99 (define @t400 () (_ tptp.descr @t367)) % 0.40/0.99 (define @t401 () (= @t146 @t400)) % 0.40/0.99 (define @t402 () (=> @t368 @t401)) % 0.40/0.99 (define @t403 () (=> @t148 @t402)) % 0.40/0.99 (define @t404 () (=> @t373 @t403)) % 0.40/0.99 (define @t405 () (forall @t375 @t404)) % 0.40/0.99 (define @t406 () (= tptp.descr__Cong @t405)) % 0.40/0.99 (define @t407 () (_ tptp.dsetconstr @t1)) % 0.40/0.99 (define @t408 () (_ @t407 @t367)) % 0.40/0.99 (define @t409 () (= @t304 @t408)) % 0.40/0.99 (define @t410 () (forall @t70 (=> @t351 @t372))) % 0.40/0.99 (define @t411 () (=> @t7 @t410)) % 0.40/0.99 (define @t412 () (forall @t9 @t411)) % 0.40/0.99 (define @t413 () (=> @t412 @t409)) % 0.40/0.99 (define @t414 () (forall @t375 @t413)) % 0.40/0.99 (define @t415 () (=> @t3 @t414)) % 0.40/0.99 (define @t416 () (forall @t12 @t415)) % 0.40/0.99 (define @t417 () (= tptp.dsetconstr__Cong @t416)) % 0.40/0.99 (define @t418 () (_ tptp.subset @t2)) % 0.40/0.99 (define @t419 () (_ @t418 @t1)) % 0.40/0.99 (define @t420 () (=> @t192 @t419)) % 0.40/0.99 (define @t421 () (forall @t12 @t420)) % 0.40/0.99 (define @t422 () (= tptp.subsetI1 @t421)) % 0.40/0.99 (define @t423 () (_ tptp.subset @t1)) % 0.40/0.99 (define @t424 () (_ @t423 @t2)) % 0.40/0.99 (define @t425 () (forall @t12 (=> @t3 @t424))) % 0.40/0.99 (define @t426 () (= tptp.eqimpsubset2 @t425)) % 0.40/0.99 (define @t427 () (forall @t12 (=> @t3 @t419))) % 0.40/0.99 (define @t428 () (= tptp.eqimpsubset1 @t427)) % 0.40/0.99 (define @t429 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 0.40/0.99 (define @t430 () (forall @t64 @t429)) % 0.40/0.99 (define @t431 () (= tptp.emptysetsubset @t430)) % 0.40/0.99 (define @t432 () (forall @t245 (=> @t419 @t191))) % 0.40/0.99 (define @t433 () (= tptp.subsetE @t432)) % 0.40/0.99 (define @t434 () (not @t6)) % 0.40/0.99 (define @t435 () (=> @t434 @t197)) % 0.40/0.99 (define @t436 () (forall @t245 (=> @t419 @t435))) % 0.40/0.99 (define @t437 () (= tptp.subsetE2 @t436)) % 0.40/0.99 (define @t438 () (not @t419)) % 0.40/0.99 (define @t439 () (=> @t434 @t438)) % 0.40/0.99 (define @t440 () (forall @t245 (=> @t7 @t439))) % 0.40/0.99 (define @t441 () (= tptp.notsubsetI @t440)) % 0.40/0.99 (define @t442 () (not @t3)) % 0.40/0.99 (define @t443 () (forall @t12 (=> @t438 @t442))) % 0.40/0.99 (define @t444 () (= tptp.notequalI1 @t443)) % 0.40/0.99 (define @t445 () (=> @t434 @t442)) % 0.40/0.99 (define @t446 () (forall @t245 (=> @t7 @t445))) % 0.40/0.99 (define @t447 () (= tptp.notequalI2 @t446)) % 0.40/0.99 (define @t448 () (_ @t418 @t2)) % 0.40/0.99 (define @t449 () (forall @t64 @t448)) % 0.40/0.99 (define @t450 () (= tptp.subsetRefl @t449)) % 0.40/0.99 (define @t451 () (_ @t418 @t104)) % 0.40/0.99 (define @t452 () (_ @t423 @t104)) % 0.40/0.99 (define @t453 () (=> @t452 @t451)) % 0.40/0.99 (define @t454 () (@list @t2 @t1 @t104)) % 0.40/0.99 (define @t455 () (forall @t454 (=> @t419 @t453))) % 0.40/0.99 (define @t456 () (= tptp.subsetTrans @t455)) % 0.40/0.99 (define @t457 () (_ @t418 @t25)) % 0.40/0.99 (define @t458 () (@list @t4 @t2)) % 0.40/0.99 (define @t459 () (forall @t458 @t457)) % 0.40/0.99 (define @t460 () (= tptp.setadjoinSub @t459)) % 0.40/0.99 (define @t461 () (_ @t24 @t1)) % 0.40/0.99 (define @t462 () (_ @t418 @t461)) % 0.40/0.99 (define @t463 () (forall @t249 (=> @t419 @t462))) % 0.40/0.99 (define @t464 () (= tptp.setadjoinSub2 @t463)) % 0.40/0.99 (define @t465 () (_ tptp.in @t2)) % 0.40/0.99 (define @t466 () (_ @t465 @t390)) % 0.40/0.99 (define @t467 () (forall @t12 (=> @t419 @t466))) % 0.40/0.99 (define @t468 () (= tptp.subset2powerset @t467)) % 0.40/0.99 (define @t469 () (=> @t424 @t3)) % 0.40/0.99 (define @t470 () (forall @t12 (=> @t419 @t469))) % 0.40/0.99 (define @t471 () (= tptp.setextsub @t470)) % 0.40/0.99 (define @t472 () (_ @t418 tptp.emptyset)) % 0.40/0.99 (define @t473 () (forall @t64 (=> @t472 @t196))) % 0.40/0.99 (define @t474 () (= tptp.subsetemptysetimpeq @t473)) % 0.40/0.99 (define @t475 () (forall @t12 (=> @t424 @t35))) % 0.40/0.99 (define @t476 () (= tptp.powersetI1 @t475)) % 0.40/0.99 (define @t477 () (forall @t12 (=> @t35 @t424))) % 0.40/0.99 (define @t478 () (= tptp.powersetE1 @t477)) % 0.40/0.99 (define @t479 () (_ @t465 @t33)) % 0.40/0.99 (define @t480 () (forall @t64 @t479)) % 0.40/0.99 (define @t481 () (= tptp.inPowerset @t480)) % 0.40/0.99 (define @t482 () (_ (_ tptp.subset @t33) @t390)) % 0.40/0.99 (define @t483 () (forall @t12 (=> @t419 @t482))) % 0.40/0.99 (define @t484 () (= tptp.powersetsubset @t483)) % 0.40/0.99 (define @t485 () (_ (_ tptp.in @t304) @t33)) % 0.40/0.99 (define @t486 () (forall @t309 @t485)) % 0.40/0.99 (define @t487 () (= tptp.sepInPowerset @t486)) % 0.40/0.99 (define @t488 () (_ (_ tptp.subset @t304) @t2)) % 0.40/0.99 (define @t489 () (forall @t309 @t488)) % 0.40/0.99 (define @t490 () (= tptp.sepSubset @t489)) % 0.40/0.99 (define @t491 () (_ (_ tptp.binunion @t2) @t1)) % 0.40/0.99 (define @t492 () (_ @t5 @t491)) % 0.40/0.99 (define @t493 () (forall @t245 (=> @t7 @t492))) % 0.40/0.99 (define @t494 () (= tptp.binunionIL @t493)) % 0.40/0.99 (define @t495 () (forall @t245 (=> @t6 @t492))) % 0.40/0.99 (define @t496 () (= tptp.binunionIR @t495)) % 0.40/0.99 (define @t497 () (=> @t6 @t173)) % 0.40/0.99 (define @t498 () (=> @t497 @t173)) % 0.40/0.99 (define @t499 () (=> @t7 @t173)) % 0.40/0.99 (define @t500 () (=> @t499 @t498)) % 0.40/0.99 (define @t501 () (@list @t2 @t1 @t4 @t173)) % 0.40/0.99 (define @t502 () (forall @t501 (=> @t492 @t500))) % 0.40/0.99 (define @t503 () (= tptp.binunionEcases @t502)) % 0.40/0.99 (define @t504 () (or @t7 @t6)) % 0.40/0.99 (define @t505 () (forall @t245 (=> @t492 @t504))) % 0.40/0.99 (define @t506 () (= tptp.binunionE @t505)) % 0.40/0.99 (define @t507 () (_ @t418 @t491)) % 0.40/0.99 (define @t508 () (forall @t12 @t507)) % 0.40/0.99 (define @t509 () (= tptp.binunionLsub @t508)) % 0.40/0.99 (define @t510 () (_ @t423 @t491)) % 0.40/0.99 (define @t511 () (forall @t12 @t510)) % 0.40/0.99 (define @t512 () (= tptp.binunionRsub @t511)) % 0.40/0.99 (define @t513 () (_ tptp.binintersect @t2)) % 0.40/0.99 (define @t514 () (_ @t513 @t1)) % 0.40/0.99 (define @t515 () (_ @t5 @t514)) % 0.40/0.99 (define @t516 () (=> @t6 @t515)) % 0.40/0.99 (define @t517 () (forall @t245 (=> @t7 @t516))) % 0.40/0.99 (define @t518 () (= tptp.binintersectI @t517)) % 0.40/0.99 (define @t519 () (_ tptp.subset @t104)) % 0.40/0.99 (define @t520 () (_ @t519 @t514)) % 0.40/0.99 (define @t521 () (_ @t519 @t1)) % 0.40/0.99 (define @t522 () (=> @t521 @t520)) % 0.40/0.99 (define @t523 () (_ @t519 @t2)) % 0.40/0.99 (define @t524 () (forall @t454 (=> @t523 @t522))) % 0.40/0.99 (define @t525 () (= tptp.binintersectSubset5 @t524)) % 0.40/0.99 (define @t526 () (forall @t245 (=> @t515 @t7))) % 0.40/0.99 (define @t527 () (= tptp.binintersectEL @t526)) % 0.40/0.99 (define @t528 () (_ tptp.subset @t514)) % 0.40/0.99 (define @t529 () (_ @t528 @t2)) % 0.40/0.99 (define @t530 () (forall @t12 @t529)) % 0.40/0.99 (define @t531 () (= tptp.binintersectLsub @t530)) % 0.40/0.99 (define @t532 () (= @t514 @t2)) % 0.40/0.99 (define @t533 () (=> @t419 @t532)) % 0.40/0.99 (define @t534 () (forall @t12 @t533)) % 0.40/0.99 (define @t535 () (= tptp.binintersectSubset2 @t534)) % 0.40/0.99 (define @t536 () (= @t514 @t1)) % 0.40/0.99 (define @t537 () (=> @t536 @t424)) % 0.40/0.99 (define @t538 () (forall @t12 @t537)) % 0.40/0.99 (define @t539 () (= tptp.binintersectSubset3 @t538)) % 0.40/0.99 (define @t540 () (forall @t245 (=> @t515 @t6))) % 0.40/0.99 (define @t541 () (= tptp.binintersectER @t540)) % 0.40/0.99 (define @t542 () (and @t7 @t6)) % 0.40/0.99 (define @t543 () (exists @t9 @t542)) % 0.40/0.99 (define @t544 () (not @t543)) % 0.40/0.99 (define @t545 () (=> @t544 (= @t514 tptp.emptyset))) % 0.40/0.99 (define @t546 () (forall @t12 @t545)) % 0.40/0.99 (define @t547 () (= tptp.disjointsetsI1 @t546)) % 0.40/0.99 (define @t548 () (_ @t528 @t1)) % 0.40/0.99 (define @t549 () (forall @t12 @t548)) % 0.40/0.99 (define @t550 () (= tptp.binintersectRsub @t549)) % 0.40/0.99 (define @t551 () (=> @t424 @t536)) % 0.40/0.99 (define @t552 () (forall @t12 @t551)) % 0.40/0.99 (define @t553 () (= tptp.binintersectSubset4 @t552)) % 0.40/0.99 (define @t554 () (=> @t532 @t419)) % 0.40/0.99 (define @t555 () (forall @t12 @t554)) % 0.40/0.99 (define @t556 () (= tptp.binintersectSubset1 @t555)) % 0.40/0.99 (define @t557 () (_ @t513 @t104)) % 0.40/0.99 (define @t558 () (_ (_ tptp.binunion @t514) @t557)) % 0.40/0.99 (define @t559 () (_ (_ tptp.binunion @t1) @t104)) % 0.40/0.99 (define @t560 () (_ @t513 @t559)) % 0.40/0.99 (define @t561 () (= @t560 @t558)) % 0.40/0.99 (define @t562 () (forall @t454 @t561)) % 0.40/0.99 (define @t563 () (= tptp.bs114d @t562)) % 0.40/0.99 (define @t564 () (_ (_ tptp.setminus @t2) @t1)) % 0.40/0.99 (define @t565 () (_ @t5 @t564)) % 0.40/0.99 (define @t566 () (=> @t434 @t565)) % 0.40/0.99 (define @t567 () (forall @t245 (=> @t7 @t566))) % 0.40/0.99 (define @t568 () (= tptp.setminusI @t567)) % 0.40/0.99 (define @t569 () (forall @t245 (=> @t565 @t7))) % 0.40/0.99 (define @t570 () (= tptp.setminusEL @t569)) % 0.40/0.99 (define @t571 () (forall @t245 (=> @t565 @t434))) % 0.40/0.99 (define @t572 () (= tptp.setminusER @t571)) % 0.40/0.99 (define @t573 () (= @t564 tptp.emptyset)) % 0.40/0.99 (define @t574 () (=> @t419 @t573)) % 0.40/0.99 (define @t575 () (forall @t12 @t574)) % 0.40/0.99 (define @t576 () (= tptp.setminusSubset2 @t575)) % 0.40/0.99 (define @t577 () (not @t565)) % 0.40/0.99 (define @t578 () (forall @t245 (=> @t577 @t191))) % 0.40/0.99 (define @t579 () (= tptp.setminusERneg @t578)) % 0.40/0.99 (define @t580 () (forall @t245 (=> @t577 @t435))) % 0.40/0.99 (define @t581 () (= tptp.setminusELneg @t580)) % 0.40/0.99 (define @t582 () (forall @t245 (=> @t197 @t577))) % 0.40/0.99 (define @t583 () (= tptp.setminusILneg @t582)) % 0.40/0.99 (define @t584 () (forall @t245 (=> @t6 @t577))) % 0.40/0.99 (define @t585 () (= tptp.setminusIRneg @t584)) % 0.40/0.99 (define @t586 () (_ (_ tptp.subset @t564) @t2)) % 0.40/0.99 (define @t587 () (forall @t12 @t586)) % 0.40/0.99 (define @t588 () (= tptp.setminusLsub @t587)) % 0.40/0.99 (define @t589 () (=> @t573 @t419)) % 0.40/0.99 (define @t590 () (forall @t12 @t589)) % 0.40/0.99 (define @t591 () (= tptp.setminusSubset1 @t590)) % 0.40/0.99 (define @t592 () (=> @t197 @t497)) % 0.40/0.99 (define @t593 () (=> @t592 @t173)) % 0.40/0.99 (define @t594 () (=> @t434 @t173)) % 0.40/0.99 (define @t595 () (=> @t7 @t594)) % 0.40/0.99 (define @t596 () (forall @t179 (=> @t595 @t593))) % 0.40/0.99 (define @t597 () (_ (_ tptp.symdiff @t2) @t1)) % 0.40/0.99 (define @t598 () (_ @t5 @t597)) % 0.40/0.99 (define @t599 () (=> @t598 @t596)) % 0.40/0.99 (define @t600 () (forall @t245 @t599)) % 0.40/0.99 (define @t601 () (= tptp.symdiffE @t600)) % 0.40/0.99 (define @t602 () (=> @t434 @t598)) % 0.40/0.99 (define @t603 () (forall @t245 (=> @t7 @t602))) % 0.40/0.99 (define @t604 () (= tptp.symdiffI1 @t603)) % 0.40/0.99 (define @t605 () (=> @t6 @t598)) % 0.40/0.99 (define @t606 () (forall @t245 (=> @t197 @t605))) % 0.40/0.99 (define @t607 () (= tptp.symdiffI2 @t606)) % 0.40/0.99 (define @t608 () (not @t598)) % 0.40/0.99 (define @t609 () (=> @t6 @t608)) % 0.40/0.99 (define @t610 () (forall @t245 (=> @t7 @t609))) % 0.40/0.99 (define @t611 () (= tptp.symdiffIneg1 @t610)) % 0.40/0.99 (define @t612 () (=> @t434 @t608)) % 0.40/0.99 (define @t613 () (forall @t245 (=> @t197 @t612))) % 0.40/0.99 (define @t614 () (= tptp.symdiffIneg2 @t613)) % 0.40/0.99 (define @t615 () (_ (_ tptp.setadjoin @t291) tptp.emptyset)) % 0.40/0.99 (define @t616 () (_ (_ tptp.setadjoin @t279) @t615)) % 0.40/0.99 (define @t617 () (_ tptp.setunion @t616)) % 0.40/0.99 (define @t618 () (_ @t5 @t617)) % 0.40/0.99 (define @t619 () (forall @t135 @t618)) % 0.40/0.99 (define @t620 () (= tptp.setukpairIL @t619)) % 0.40/0.99 (define @t621 () (_ @t20 @t617)) % 0.40/0.99 (define @t622 () (forall @t135 @t621)) % 0.40/0.99 (define @t623 () (= tptp.setukpairIR @t622)) % 0.40/0.99 (define @t624 () (forall @t135 (_ tptp.iskpair @t616))) % 0.40/0.99 (define @t625 () (= tptp.kpairiskpair @t624)) % 0.40/0.99 (define @t626 () (forall @t135 (_ tptp.iskpair (_ (_ tptp.kpair @t4) @t19)))) % 0.40/0.99 (define @t627 () (= tptp.kpairp @t626)) % 0.40/0.99 (define @t628 () (_ (_ tptp.subset @t279) @t2)) % 0.40/0.99 (define @t629 () (forall @t46 (=> @t7 @t628))) % 0.40/0.99 (define @t630 () (=> tptp.kpairp @t629)) % 0.40/0.99 (define @t631 () (=> tptp.kpairiskpair @t630)) % 0.40/0.99 (define @t632 () (=> tptp.setukpairIR @t631)) % 0.40/0.99 (define @t633 () (=> tptp.setukpairIL @t632)) % 0.40/0.99 (define @t634 () (=> tptp.secondinupair @t633)) % 0.40/0.99 (define @t635 () (=> tptp.symdiffIneg2 @t634)) % 0.40/0.99 (define @t636 () (=> tptp.symdiffIneg1 @t635)) % 0.40/0.99 (define @t637 () (=> tptp.symdiffI2 @t636)) % 0.40/0.99 (define @t638 () (=> tptp.symdiffI1 @t637)) % 0.40/0.99 (define @t639 () (=> tptp.symdiffE @t638)) % 0.40/0.99 (define @t640 () (=> tptp.setminusSubset1 @t639)) % 0.40/0.99 (define @t641 () (=> tptp.setminusLsub @t640)) % 0.40/0.99 (define @t642 () (=> tptp.setminusIRneg @t641)) % 0.40/0.99 (define @t643 () (=> tptp.setminusILneg @t642)) % 0.40/0.99 (define @t644 () (=> tptp.setminusELneg @t643)) % 0.40/0.99 (define @t645 () (=> tptp.setminusERneg @t644)) % 0.40/0.99 (define @t646 () (=> tptp.setminusSubset2 @t645)) % 0.40/0.99 (define @t647 () (=> tptp.setminusER @t646)) % 0.40/0.99 (define @t648 () (=> tptp.setminusEL @t647)) % 0.40/0.99 (define @t649 () (=> tptp.setminusI @t648)) % 0.40/0.99 (define @t650 () (=> tptp.bs114d @t649)) % 0.40/0.99 (define @t651 () (=> tptp.binintersectSubset1 @t650)) % 0.40/0.99 (define @t652 () (=> tptp.binintersectSubset4 @t651)) % 0.40/0.99 (define @t653 () (=> tptp.binintersectRsub @t652)) % 0.40/0.99 (define @t654 () (=> tptp.disjointsetsI1 @t653)) % 0.40/0.99 (define @t655 () (=> tptp.binintersectER @t654)) % 0.40/0.99 (define @t656 () (=> tptp.binintersectSubset3 @t655)) % 0.40/0.99 (define @t657 () (=> tptp.binintersectSubset2 @t656)) % 0.40/0.99 (define @t658 () (=> tptp.binintersectLsub @t657)) % 0.40/0.99 (define @t659 () (=> tptp.binintersectEL @t658)) % 0.40/0.99 (define @t660 () (=> tptp.binintersectSubset5 @t659)) % 0.40/0.99 (define @t661 () (=> tptp.binintersectI @t660)) % 0.40/0.99 (define @t662 () (=> tptp.binunionRsub @t661)) % 0.40/0.99 (define @t663 () (=> tptp.binunionLsub @t662)) % 0.40/0.99 (define @t664 () (=> tptp.binunionE @t663)) % 0.40/0.99 (define @t665 () (=> tptp.binunionEcases @t664)) % 0.40/0.99 (define @t666 () (=> tptp.binunionIR @t665)) % 0.40/0.99 (define @t667 () (=> tptp.upairset2IR @t666)) % 0.40/0.99 (define @t668 () (=> tptp.binunionIL @t667)) % 0.40/0.99 (define @t669 () (=> tptp.sepSubset @t668)) % 0.40/0.99 (define @t670 () (=> tptp.sepInPowerset @t669)) % 0.40/0.99 (define @t671 () (=> tptp.powersetsubset @t670)) % 0.40/0.99 (define @t672 () (=> tptp.inPowerset @t671)) % 0.40/0.99 (define @t673 () (=> tptp.powersetE1 @t672)) % 0.40/0.99 (define @t674 () (=> tptp.powersetI1 @t673)) % 0.40/0.99 (define @t675 () (=> tptp.subsetemptysetimpeq @t674)) % 0.40/0.99 (define @t676 () (=> tptp.setextsub @t675)) % 0.40/0.99 (define @t677 () (=> tptp.subset2powerset @t676)) % 0.40/0.99 (define @t678 () (=> tptp.setadjoinSub2 @t677)) % 0.40/0.99 (define @t679 () (=> tptp.setadjoinSub @t678)) % 0.40/0.99 (define @t680 () (=> tptp.subsetTrans @t679)) % 0.40/0.99 (define @t681 () (=> tptp.subsetRefl @t680)) % 0.40/0.99 (define @t682 () (=> tptp.notequalI2 @t681)) % 0.40/0.99 (define @t683 () (=> tptp.notequalI1 @t682)) % 0.40/0.99 (define @t684 () (=> tptp.notsubsetI @t683)) % 0.40/0.99 (define @t685 () (=> tptp.subsetE2 @t684)) % 0.40/0.99 (define @t686 () (=> tptp.subsetE @t685)) % 0.40/0.99 (define @t687 () (=> tptp.emptysetsubset @t686)) % 0.40/0.99 (define @t688 () (=> tptp.subsetI2 @t687)) % 0.40/0.99 (define @t689 () (=> tptp.eqimpsubset1 @t688)) % 0.40/0.99 (define @t690 () (=> tptp.eqimpsubset2 @t689)) % 0.40/0.99 (define @t691 () (=> tptp.subsetI1 @t690)) % 0.40/0.99 (define @t692 () (=> tptp.dsetconstr__Cong @t691)) % 0.40/0.99 (define @t693 () (=> tptp.descr__Cong @t692)) % 0.40/0.99 (define @t694 () (=> tptp.exuEu @t693)) % 0.40/0.99 (define @t695 () (=> tptp.omega__Cong @t694)) % 0.40/0.99 (define @t696 () (=> tptp.setunion__Cong @t695)) % 0.40/0.99 (define @t697 () (=> tptp.powerset__Cong @t696)) % 0.40/0.99 (define @t698 () (=> tptp.setadjoin__Cong @t697)) % 0.40/0.99 (define @t699 () (=> tptp.emptyset__Cong @t698)) % 0.40/0.99 (define @t700 () (=> tptp.exu__Cong @t699)) % 0.40/0.99 (define @t701 () (=> tptp.exuE3u @t700)) % 0.40/0.99 (define @t702 () (=> tptp.in__Cong @t701)) % 0.40/0.99 (define @t703 () (=> tptp.inCongP @t702)) % 0.40/0.99 (define @t704 () (=> tptp.exuI2 @t703)) % 0.40/0.99 (define @t705 () (=> tptp.exuI3 @t704)) % 0.40/0.99 (define @t706 () (=> tptp.exuI1 @t705)) % 0.40/0.99 (define @t707 () (=> tptp.notdallE @t706)) % 0.40/0.99 (define @t708 () (=> tptp.notdexE @t707)) % 0.40/0.99 (define @t709 () (=> tptp.prop2set2propI @t708)) % 0.40/0.99 (define @t710 () (=> tptp.prop2setI @t709)) % 0.40/0.99 (define @t711 () (=> tptp.quantDeMorgan4 @t710)) % 0.40/0.99 (define @t712 () (=> tptp.quantDeMorgan3 @t711)) % 0.40/0.99 (define @t713 () (=> tptp.quantDeMorgan2 @t712)) % 0.40/0.99 (define @t714 () (=> tptp.quantDeMorgan1 @t713)) % 0.40/0.99 (define @t715 () (=> tptp.vacuousDall @t714)) % 0.40/0.99 (define @t716 () (=> tptp.emptyE1 @t715)) % 0.40/0.99 (define @t717 () (=> tptp.upairsetIR @t716)) % 0.40/0.99 (define @t718 () (=> tptp.upairsetIL @t717)) % 0.40/0.99 (define @t719 () (=> tptp.upairsetE @t718)) % 0.40/0.99 (define @t720 () (=> tptp.singletonsswitch @t719)) % 0.40/0.99 (define @t721 () (=> tptp.eqinunit @t720)) % 0.40/0.99 (define @t722 () (=> tptp.notinsingleton @t721)) % 0.40/0.99 (define @t723 () (=> tptp.uniqinunit @t722)) % 0.40/0.99 (define @t724 () (=> tptp.nonemptyImpWitness @t723)) % 0.40/0.99 (define @t725 () (=> tptp.exuE2 @t724)) % 0.40/0.99 (define @t726 () (=> tptp.subPowSU @t725)) % 0.40/0.99 (define @t727 () (=> tptp.setunionE @t726)) % 0.40/0.99 (define @t728 () (=> tptp.setunionI @t727)) % 0.40/0.99 (define @t729 () (=> tptp.powersetE @t728)) % 0.40/0.99 (define @t730 () (=> tptp.emptyInPowerset @t729)) % 0.40/0.99 (define @t731 () (=> tptp.emptyinPowerset @t730)) % 0.40/0.99 (define @t732 () (=> tptp.powersetI @t731)) % 0.40/0.99 (define @t733 () (=> tptp.setoftrueEq @t732)) % 0.40/0.99 (define @t734 () (=> tptp.setadjoinOr @t733)) % 0.40/0.99 (define @t735 () (=> tptp.setadjoinE @t734)) % 0.40/0.99 (define @t736 () (=> tptp.setadjoinIR @t735)) % 0.40/0.99 (define @t737 () (=> tptp.emptyinunitempty @t736)) % 0.40/0.99 (define @t738 () (=> tptp.setadjoinIL @t737)) % 0.40/0.99 (define @t739 () (=> tptp.nonemptyI1 @t738)) % 0.40/0.99 (define @t740 () (=> tptp.nonemptyI @t739)) % 0.40/0.99 (define @t741 () (=> tptp.nonemptyE1 @t740)) % 0.40/0.99 (define @t742 () (=> tptp.setbeta @t741)) % 0.40/0.99 (define @t743 () (=> tptp.noeltsimpempty @t742)) % 0.40/0.99 (define @t744 () (=> tptp.emptyI @t743)) % 0.40/0.99 (define @t745 () (=> tptp.setext @t744)) % 0.40/0.99 (define @t746 () (=> tptp.exuE3e @t745)) % 0.40/0.99 (define @t747 () (=> tptp.notinemptyset @t746)) % 0.40/0.99 (define @t748 () (=> tptp.emptysetimpfalse @t747)) % 0.40/0.99 (define @t749 () (=> tptp.emptysetE @t748)) % 0.40/0.99 (define @t750 () (=> tptp.prop2setE @t749)) % 0.40/0.99 (define @t751 () (=> tptp.exuE1 @t750)) % 0.40/0.99 (define @t752 () (=> tptp.dsetconstrER @t751)) % 0.40/0.99 (define @t753 () (=> tptp.dsetconstrEL @t752)) % 0.40/0.99 (define @t754 () (=> tptp.dsetconstrI @t753)) % 0.40/0.99 (define @t755 () (=> tptp.descrp @t754)) % 0.40/0.99 (define @t756 () (=> tptp.wellorderingAx @t755)) % 0.40/0.99 (define @t757 () (=> tptp.foundationAx @t756)) % 0.40/0.99 (define @t758 () (=> tptp.replAx @t757)) % 0.40/0.99 (define @t759 () (=> tptp.omegaIndAx @t758)) % 0.40/0.99 (define @t760 () (=> tptp.omegaSAx @t759)) % 0.40/0.99 (define @t761 () (=> tptp.omega0Ax @t760)) % 0.40/0.99 (define @t762 () (=> tptp.setunionAx @t761)) % 0.40/0.99 (define @t763 () (=> tptp.powersetAx @t762)) % 0.40/0.99 (define @t764 () (=> tptp.setadjoinAx @t763)) % 0.40/0.99 (define @t765 () (=> tptp.emptysetAx @t764)) % 0.40/0.99 (define @t766 () (=> tptp.setextAx @t765)) % 0.40/0.99 (define @t767 () (not @t766)) % 0.40/0.99 (define @t768 () (lambda @t150 @t169)) % 0.40/0.99 (define @t769 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.40/0.99 (define @t770 () (= @t2 @t616)) % 0.40/0.99 (define @t771 () (_ @t20 @t43)) % 0.40/0.99 (define @t772 () (and @t771 @t770)) % 0.40/0.99 (define @t773 () (exists @t70 @t772)) % 0.40/0.99 (define @t774 () (and @t44 @t773)) % 0.40/0.99 (define @t775 () (exists @t9 @t774)) % 0.40/0.99 (define @t776 () (lambda @t64 @t775)) % 0.40/0.99 (define @t777 () (lambda @t135 @t616)) % 0.40/0.99 (define @t778 () (@list @t289)) % 0.40/0.99 (define @t779 () (lambda @t12 (_ (_ tptp.dsetconstr (_ tptp.powerset (_ tptp.powerset @t491))) (lambda @t9 (exists @t70 (and @t21 (exists @t778 (and (_ @t292 @t1) (= @t4 (_ (_ tptp.kpair @t19) @t289)))))))))) % 0.40/0.99 (define @t780 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.40/0.99 (define @t781 () (tptp.subset @t780 @t2)) % 0.40/0.99 (define @t782 () (tptp.in @t4 @t2)) % 0.40/0.99 (define @t783 () (not @t782)) % 0.40/0.99 (define @t784 () (forall @t46 (or @t783 @t781))) % 0.40/0.99 (define @t785 () (@var "BOUND_VARIABLE_8368" $$unsorted)) % 0.40/0.99 (define @t786 () (tptp.setadjoin @t785 tptp.emptyset)) % 0.40/0.99 (define @t787 () (@var "BOUND_VARIABLE_10576" $$unsorted)) % 0.40/0.99 (define @t788 () (tptp.setadjoin (tptp.setadjoin @t787 tptp.emptyset) (tptp.setadjoin (tptp.setadjoin @t787 @t786) tptp.emptyset))) % 0.40/0.99 (define @t789 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.40/0.99 (define @t790 () (tptp.setadjoin @t4 @t789)) % 0.40/0.99 (define @t791 () (tptp.setadjoin @t790 tptp.emptyset)) % 0.40/0.99 (define @t792 () (tptp.setadjoin @t780 @t791)) % 0.40/0.99 (define @t793 () (tptp.setunion @t792)) % 0.40/0.99 (define @t794 () (@list @t787 @t785)) % 0.40/0.99 (define @t795 () (forall @t135 (not (forall @t794 (or (not (tptp.in @t787 @t793)) (not (tptp.in @t785 @t793)) (not (= @t792 @t788))))))) % 0.40/0.99 (define @t796 () (tptp.in @t19 @t793)) % 0.40/0.99 (define @t797 () (tptp.in @t4 @t793)) % 0.40/0.99 (define @t798 () (tptp.in @t19 @t790)) % 0.40/0.99 (define @t799 () (forall @t135 @t798)) % 0.40/0.99 (define @t800 () (tptp.symdiff @t2 @t1)) % 0.40/0.99 (define @t801 () (tptp.in @t4 @t800)) % 0.40/0.99 (define @t802 () (not @t801)) % 0.40/0.99 (define @t803 () (tptp.in @t4 @t1)) % 0.40/0.99 (define @t804 () (not @t803)) % 0.40/0.99 (define @t805 () (and @t783 @t803)) % 0.40/0.99 (define @t806 () (and @t782 @t804)) % 0.40/0.99 (define @t807 () (tptp.subset @t2 @t1)) % 0.40/0.99 (define @t808 () (tptp.setminus @t2 @t1)) % 0.40/0.99 (define @t809 () (= tptp.emptyset @t808)) % 0.40/0.99 (define @t810 () (tptp.subset @t808 @t2)) % 0.40/0.99 (define @t811 () (tptp.in @t4 @t808)) % 0.40/0.99 (define @t812 () (not @t811)) % 0.40/0.99 (define @t813 () (not @t807)) % 0.40/0.99 (define @t814 () (tptp.binintersect @t2 @t104)) % 0.40/0.99 (define @t815 () (tptp.binintersect @t2 @t1)) % 0.40/0.99 (define @t816 () (tptp.binunion @t815 @t814)) % 0.40/0.99 (define @t817 () (tptp.binunion @t1 @t104)) % 0.40/0.99 (define @t818 () (tptp.binintersect @t2 @t817)) % 0.40/0.99 (define @t819 () (= @t2 @t815)) % 0.40/0.99 (define @t820 () (= @t1 @t815)) % 0.40/0.99 (define @t821 () (tptp.subset @t1 @t2)) % 0.40/0.99 (define @t822 () (not @t821)) % 0.40/0.99 (define @t823 () (tptp.subset @t815 @t1)) % 0.40/0.99 (define @t824 () (forall @t9 (or @t783 @t804))) % 0.40/0.99 (define @t825 () (not @t824)) % 0.40/0.99 (define @t826 () (tptp.in @t4 @t815)) % 0.40/0.99 (define @t827 () (not @t826)) % 0.40/0.99 (define @t828 () (tptp.subset @t815 @t2)) % 0.40/0.99 (define @t829 () (tptp.subset @t104 @t815)) % 0.40/0.99 (define @t830 () (tptp.subset @t104 @t1)) % 0.40/0.99 (define @t831 () (tptp.subset @t104 @t2)) % 0.40/0.99 (define @t832 () (tptp.binunion @t2 @t1)) % 0.40/0.99 (define @t833 () (tptp.subset @t1 @t832)) % 0.40/0.99 (define @t834 () (tptp.subset @t2 @t832)) % 0.40/0.99 (define @t835 () (tptp.in @t4 @t832)) % 0.40/0.99 (define @t836 () (not @t835)) % 0.40/0.99 (define @t837 () (forall @t245 (or @t836 @t782 @t803))) % 0.40/0.99 (define @t838 () (tptp.dsetconstr @t2 @t143)) % 0.40/0.99 (define @t839 () (tptp.powerset @t2)) % 0.40/0.99 (define @t840 () (tptp.powerset @t1)) % 0.40/0.99 (define @t841 () (tptp.subset @t839 @t840)) % 0.40/0.99 (define @t842 () (tptp.in @t2 @t839)) % 0.40/0.99 (define @t843 () (tptp.in @t1 @t839)) % 0.40/0.99 (define @t844 () (not @t843)) % 0.40/0.99 (define @t845 () (tptp.subset @t2 tptp.emptyset)) % 0.40/0.99 (define @t846 () (tptp.in @t2 @t840)) % 0.40/0.99 (define @t847 () (tptp.setadjoin @t4 @t1)) % 0.40/0.99 (define @t848 () (tptp.subset @t2 @t847)) % 0.40/0.99 (define @t849 () (tptp.setadjoin @t4 @t2)) % 0.40/0.99 (define @t850 () (tptp.subset @t2 @t849)) % 0.40/0.99 (define @t851 () (tptp.subset @t2 @t104)) % 0.40/0.99 (define @t852 () (tptp.subset @t1 @t104)) % 0.40/0.99 (define @t853 () (tptp.subset @t2 @t2)) % 0.40/0.99 (define @t854 () (=> (forall @t64 @t853) (=> (forall @t454 (or @t813 (not @t852) @t851)) (=> (forall @t458 @t850) (=> (forall @t249 (or @t813 @t848)) (=> (forall @t12 (or @t813 @t846)) (=> (forall @t12 (or @t813 @t822 @t3)) (=> (forall @t64 (or (not @t845) @t196)) (=> (forall @t12 (or @t822 @t843)) (=> (forall @t12 (or @t844 @t821)) (=> (forall @t64 @t842) (=> (forall @t12 (or @t813 @t841)) (=> (forall @t309 (tptp.in @t838 @t839)) (=> (forall @t309 (tptp.subset @t838 @t2)) (=> (forall @t245 (or @t783 @t835)) (=> @t799 (=> (forall @t245 (or @t804 @t835)) (=> @t837 (=> @t837 (=> (forall @t12 @t834) (=> (forall @t12 @t833) (=> (forall @t245 (or @t783 @t804 @t826)) (=> (forall @t454 (or (not @t831) (not @t830) @t829)) (=> (forall @t245 (or @t827 @t782)) (=> (forall @t12 @t828) (=> (forall @t12 (or @t813 @t819)) (=> (forall @t12 (or (not @t820) @t821)) (=> (forall @t245 (or @t827 @t803)) (=> (forall @t12 (or @t825 (= tptp.emptyset @t815))) (=> (forall @t12 @t823) (=> (forall @t12 (or @t822 @t820)) (=> (forall @t12 (or (not @t819) @t807)) (=> (forall @t454 (= @t818 @t816)) (=> (forall @t245 (or @t783 @t803 @t811)) (=> (forall @t245 (or @t812 @t782)) (=> (forall @t245 (or @t812 @t804)) (=> (forall @t12 (or @t813 @t809)) (=> (forall @t245 (or @t811 @t783 @t803)) (=> (forall @t245 (or @t811 @t803 @t783)) (=> (forall @t245 (or @t782 @t812)) (=> (forall @t245 (or @t804 @t812)) (=> (forall @t12 @t810) (=> (forall @t12 (or (not @t809) @t807)) (=> (forall @t245 (or @t802 @t806 @t805)) (=> (forall @t245 (or @t783 @t803 @t801)) (=> (forall @t245 (or @t782 @t804 @t801)) (=> (forall @t245 (or @t783 @t804 @t802)) (=> (forall @t245 (or @t782 @t803 @t802)) (=> @t799 (=> (forall @t135 @t797) (=> (forall @t135 @t796) (=> @t795 (=> @t795 @t784))))))))))))))))))))))))))))))))))))))))))))))))))))) % 0.40/0.99 (define @t855 () (tptp.subset @t1 @t1)) % 0.40/0.99 (define @t856 () (forall @t41 @t855)) % 0.40/0.99 (define @t857 () (forall @t245 (or @t783 @t803 @t813))) % 0.40/0.99 (define @t858 () (forall @t245 (or @t813 @t803 @t783))) % 0.40/0.99 (define @t859 () (forall @t245 (or @t813 @t783 @t803))) % 0.40/0.99 (define @t860 () (tptp.subset tptp.emptyset @t2)) % 0.40/0.99 (define @t861 () (forall @t64 @t860)) % 0.40/0.99 (define @t862 () (forall @t9 (or @t783 @t803))) % 0.40/0.99 (define @t863 () (not @t862)) % 0.40/0.99 (define @t864 () (forall @t12 (or @t863 @t807))) % 0.40/0.99 (define @t865 () (@var "BOUND_VARIABLE_10030" (-> $$unsorted Bool))) % 0.40/0.99 (define @t866 () (tptp.dsetconstr @t1 @t865)) % 0.40/0.99 (define @t867 () (@var "BOUND_VARIABLE_10032" (-> $$unsorted Bool))) % 0.40/0.99 (define @t868 () (tptp.dsetconstr @t1 @t867)) % 0.40/0.99 (define @t869 () (= @t868 @t866)) % 0.40/0.99 (define @t870 () (= (_ @t865 @t4) (_ @t867 @t4))) % 0.40/0.99 (define @t871 () (or @t804 @t870)) % 0.40/0.99 (define @t872 () (not (forall @t9 @t871))) % 0.40/0.99 (define @t873 () (or @t872 @t869)) % 0.40/0.99 (define @t874 () (@list @t1 @t865 @t867)) % 0.40/0.99 (define @t875 () (forall @t874 @t873)) % 0.40/0.99 (define @t876 () (@var "BOUND_VARIABLE_9969" $$unsorted)) % 0.40/0.99 (define @t877 () (_ @t365 @t19)) % 0.40/0.99 (define @t878 () (not @t877)) % 0.40/0.99 (define @t879 () (not (_ @t365 @t876))) % 0.40/0.99 (define @t880 () (@var "BOUND_VARIABLE_9960" $$unsorted)) % 0.40/0.99 (define @t881 () (_ @t143 @t19)) % 0.40/0.99 (define @t882 () (not @t881)) % 0.40/0.99 (define @t883 () (not (_ @t143 @t880))) % 0.40/0.99 (define @t884 () (tptp.descr @t143)) % 0.40/0.99 (define @t885 () (= @t884 (tptp.descr @t365))) % 0.40/0.99 (define @t886 () (= @t881 @t877)) % 0.40/0.99 (define @t887 () (forall @t70 @t886)) % 0.40/0.99 (define @t888 () (not @t887)) % 0.40/0.99 (define @t889 () (@list @t143 @t365 @t880 @t876)) % 0.40/0.99 (define @t890 () (forall @t889 (or @t888 @t885 @t883 (not (forall @t70 (or @t882 (= @t19 @t880)))) @t879 (not (forall @t70 (or @t878 (= @t19 @t876))))))) % 0.40/0.99 (define @t891 () (@var "BOUND_VARIABLE_9801" $$unsorted)) % 0.40/0.99 (define @t892 () (@var "BOUND_VARIABLE_9799" $$unsorted)) % 0.40/0.99 (define @t893 () (= @t892 @t891)) % 0.40/0.99 (define @t894 () (not (_ @t143 @t891))) % 0.40/0.99 (define @t895 () (not (_ @t143 @t892))) % 0.40/0.99 (define @t896 () (@var "BOUND_VARIABLE_9790" $$unsorted)) % 0.40/0.99 (define @t897 () (not (_ @t143 @t896))) % 0.40/0.99 (define @t898 () (@list @t143 @t896 @t892 @t891)) % 0.40/0.99 (define @t899 () (forall @t898 (or @t897 (not (forall @t70 (or @t882 (= @t19 @t896)))) @t895 @t894 @t893))) % 0.40/0.99 (define @t900 () (not (forall @t70 (or @t878 @t129)))) % 0.40/0.99 (define @t901 () (_ @t365 @t4)) % 0.40/0.99 (define @t902 () (forall @t9 (or (not @t901) @t900))) % 0.40/0.99 (define @t903 () (not @t902)) % 0.40/0.99 (define @t904 () (forall @t70 (or @t882 @t129))) % 0.40/0.99 (define @t905 () (not @t904)) % 0.40/0.99 (define @t906 () (_ @t143 @t4)) % 0.40/0.99 (define @t907 () (not @t906)) % 0.40/0.99 (define @t908 () (forall @t9 (or @t907 @t905))) % 0.40/0.99 (define @t909 () (not @t908)) % 0.40/0.99 (define @t910 () (= @t909 @t903)) % 0.40/0.99 (define @t911 () (forall @t375 (or @t888 @t910))) % 0.40/0.99 (define @t912 () (@var "BOUND_VARIABLE_9697" $$unsorted)) % 0.40/0.99 (define @t913 () (@list @t143 @t912)) % 0.40/0.99 (define @t914 () (forall @t913 (or (not (forall @t70 (= @t881 (= @t19 @t912)))) @t909))) % 0.40/0.99 (define @t915 () (forall @t135 (or @t907 @t882 @t129))) % 0.40/0.99 (define @t916 () (not @t915)) % 0.40/0.99 (define @t917 () (@var "BOUND_VARIABLE_9681" $$unsorted)) % 0.40/0.99 (define @t918 () (not (_ @t143 @t917))) % 0.40/0.99 (define @t919 () (or @t918 @t916 @t909)) % 0.40/0.99 (define @t920 () (forall (@list @t143 @t917) @t919)) % 0.40/0.99 (define @t921 () (=> @t920 (=> @t914 (=> @t899 (=> @t911 (=> @t899 (=> @t890 (=> @t875 (=> @t864 (=> @t856 (=> @t856 (=> @t864 (=> @t861 (=> @t859 (=> @t858 (=> @t857 (=> @t856 @t854))))))))))))))))) % 0.40/0.99 (define @t922 () (tptp.prop2set true)) % 0.40/0.99 (define @t923 () (tptp.set2prop @t922)) % 0.40/0.99 (define @t924 () (=> @t923 @t921)) % 0.40/0.99 (define @t925 () (tptp.in tptp.emptyset @t922)) % 0.40/0.99 (define @t926 () (=> @t925 @t924)) % 0.40/0.99 (define @t927 () (tptp.in @t4 tptp.emptyset)) % 0.40/0.99 (define @t928 () (not @t927)) % 0.40/0.99 (define @t929 () (forall @t312 (or @t928 @t906))) % 0.40/0.99 (define @t930 () (=> @t929 @t926)) % 0.40/0.99 (define @t931 () (@var "BOUND_VARIABLE_9590" $$unsorted)) % 0.40/0.99 (define @t932 () (not (_ @t143 @t931))) % 0.40/0.99 (define @t933 () (not (tptp.in @t931 @t2))) % 0.40/0.99 (define @t934 () (not (= tptp.emptyset @t838))) % 0.40/0.99 (define @t935 () (or @t934 @t933 @t932)) % 0.40/0.99 (define @t936 () (@list @t2 @t143 @t931)) % 0.40/0.99 (define @t937 () (forall @t936 @t935)) % 0.40/0.99 (define @t938 () (=> @t937 @t930)) % 0.40/0.99 (define @t939 () (=> @t799 @t938)) % 0.40/0.99 (define @t940 () (tptp.in @t4 @t790)) % 0.40/0.99 (define @t941 () (forall @t135 @t940)) % 0.40/0.99 (define @t942 () (=> @t941 @t939)) % 0.40/0.99 (define @t943 () (= @t19 @t289)) % 0.40/0.99 (define @t944 () (= @t4 @t289)) % 0.40/0.99 (define @t945 () (tptp.in @t289 @t790)) % 0.40/0.99 (define @t946 () (forall @t295 (or (not @t945) @t944 @t943))) % 0.40/0.99 (define @t947 () (=> @t946 @t942)) % 0.40/0.99 (define @t948 () (tptp.in @t19 @t780)) % 0.40/0.99 (define @t949 () (tptp.in @t4 @t789)) % 0.40/0.99 (define @t950 () (not @t949)) % 0.40/0.99 (define @t951 () (forall @t135 (or @t950 @t948))) % 0.40/0.99 (define @t952 () (=> @t951 @t947)) % 0.40/0.99 (define @t953 () (tptp.in @t19 @t789)) % 0.40/0.99 (define @t954 () (forall @t70 @t953)) % 0.40/0.99 (define @t955 () (=> @t954 @t952)) % 0.40/0.99 (define @t956 () (forall @t135 (or @t129 (not @t948)))) % 0.40/0.99 (define @t957 () (=> @t956 @t955)) % 0.40/0.99 (define @t958 () (forall @t135 (or @t950 @t129))) % 0.40/0.99 (define @t959 () (=> @t958 @t957)) % 0.40/0.99 (define @t960 () (forall @t9 @t783)) % 0.40/0.99 (define @t961 () (not @t960)) % 0.40/0.99 (define @t962 () (forall @t64 (or @t196 @t961))) % 0.40/0.99 (define @t963 () (=> @t962 @t959)) % 0.40/0.99 (define @t964 () (@var "BOUND_VARIABLE_9478" $$unsorted)) % 0.40/0.99 (define @t965 () (not (_ @t143 @t964))) % 0.40/0.99 (define @t966 () (forall @t70 (= @t129 @t881))) % 0.40/0.99 (define @t967 () (forall @t9 (not @t966))) % 0.40/0.99 (define @t968 () (not @t967)) % 0.40/0.99 (define @t969 () (@list @t143 @t964)) % 0.40/0.99 (define @t970 () (forall @t969 (or @t968 @t965 (not (forall @t70 (or @t882 (= @t19 @t964))))))) % 0.40/0.99 (define @t971 () (=> @t970 @t963)) % 0.40/0.99 (define @t972 () (tptp.setunion @t2)) % 0.40/0.99 (define @t973 () (tptp.powerset @t972)) % 0.40/0.99 (define @t974 () (tptp.in @t4 @t973)) % 0.40/0.99 (define @t975 () (forall @t46 (or @t783 @t974))) % 0.40/0.99 (define @t976 () (=> @t975 @t971)) % 0.40/0.99 (define @t977 () (tptp.in @t1 @t2)) % 0.40/0.99 (define @t978 () (not @t977)) % 0.40/0.99 (define @t979 () (forall @t41 (or @t804 @t978))) % 0.40/0.99 (define @t980 () (not @t979)) % 0.40/0.99 (define @t981 () (tptp.in @t4 @t972)) % 0.40/0.99 (define @t982 () (not @t981)) % 0.40/0.99 (define @t983 () (forall @t46 (or @t982 @t980))) % 0.40/0.99 (define @t984 () (=> @t983 @t976)) % 0.40/0.99 (define @t985 () (forall @t249 (or @t804 @t978 @t981))) % 0.40/0.99 (define @t986 () (=> @t985 @t984)) % 0.40/0.99 (define @t987 () (forall @t245 (or @t844 @t804 @t782))) % 0.40/0.99 (define @t988 () (=> @t987 @t986)) % 0.40/0.99 (define @t989 () (tptp.in tptp.emptyset @t839)) % 0.40/0.99 (define @t990 () (forall @t64 @t989)) % 0.40/0.99 (define @t991 () (=> @t990 @t988)) % 0.40/0.99 (define @t992 () (=> @t990 @t991)) % 0.40/0.99 (define @t993 () (forall @t9 (or @t804 @t782))) % 0.40/0.99 (define @t994 () (not @t993)) % 0.40/0.99 (define @t995 () (forall @t12 (or @t994 @t843))) % 0.40/0.99 (define @t996 () (=> @t995 @t992)) % 0.40/0.99 (define @t997 () (@var "BOUND_VARIABLE_26205" $$unsorted)) % 0.40/0.99 (define @t998 () (lambda (@list @t997) true)) % 0.40/0.99 (define @t999 () (tptp.dsetconstr @t2 @t998)) % 0.40/0.99 (define @t1000 () (forall @t64 (= @t2 @t999))) % 0.40/0.99 (define @t1001 () (=> @t1000 @t996)) % 0.40/0.99 (define @t1002 () (tptp.in @t19 @t2)) % 0.40/0.99 (define @t1003 () (tptp.in @t19 @t849)) % 0.40/0.99 (define @t1004 () (forall @t28 (or (not @t1003) @t129 @t1002))) % 0.40/0.99 (define @t1005 () (=> @t1004 @t1001)) % 0.40/0.99 (define @t1006 () (=> @t1004 @t1005)) % 0.40/0.99 (define @t1007 () (not @t1002)) % 0.40/0.99 (define @t1008 () (forall @t28 (or @t1007 @t1003))) % 0.40/0.99 (define @t1009 () (=> @t1008 @t1006)) % 0.40/0.99 (define @t1010 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.40/0.99 (define @t1011 () (tptp.in tptp.emptyset @t1010)) % 0.40/0.99 (define @t1012 () (=> @t221 @t1009)) % 0.40/0.99 (define @t1013 () (tptp.setadjoin @t4 @t19)) % 0.40/0.99 (define @t1014 () (tptp.in @t4 @t1013)) % 0.40/0.99 (define @t1015 () (forall @t135 @t1014)) % 0.40/0.99 (define @t1016 () (=> @t1015 @t1012)) % 0.40/0.99 (define @t1017 () (@var "BOUND_VARIABLE_9321" $$unsorted)) % 0.40/0.99 (define @t1018 () (not (tptp.in @t1017 tptp.emptyset))) % 0.40/0.99 (define @t1019 () (@list @t1017)) % 0.40/0.99 (define @t1020 () (forall @t1019 @t1018)) % 0.40/0.99 (define @t1021 () (=> @t1020 @t1016)) % 0.40/0.99 (define @t1022 () (forall @t159 (or @t783 @t907 @t934))) % 0.40/0.99 (define @t1023 () (=> @t1022 @t1021)) % 0.40/0.99 (define @t1024 () (=> @t962 @t1023)) % 0.40/0.99 (define @t1025 () (tptp.in @t4 @t838)) % 0.40/0.99 (define @t1026 () (forall @t159 (or @t783 (= @t906 @t1025)))) % 0.40/0.99 (define @t1027 () (=> @t1026 @t1024)) % 0.40/0.99 (define @t1028 () (forall @t64 (or @t961 @t196))) % 0.40/0.99 (define @t1029 () (=> @t1028 @t1027)) % 0.40/0.99 (define @t1030 () (=> @t1028 @t1029)) % 0.40/0.99 (define @t1031 () (or @t863 @t994 @t3)) % 0.40/0.99 (define @t1032 () (forall @t12 @t1031)) % 0.40/0.99 (define @t1033 () (=> @t1032 @t1030)) % 0.40/0.99 (define @t1034 () (@var "BOUND_VARIABLE_9218" $$unsorted)) % 0.40/0.99 (define @t1035 () (not (_ @t143 @t1034))) % 0.40/0.99 (define @t1036 () (forall @t9 @t907)) % 0.40/0.99 (define @t1037 () (not @t1036)) % 0.40/0.99 (define @t1038 () (@list @t143 @t1034)) % 0.40/0.99 (define @t1039 () (forall @t1038 (or @t1037 @t1035 (not (forall @t70 (or @t882 (= @t19 @t1034))))))) % 0.40/0.99 (define @t1040 () (=> @t1039 @t1033)) % 0.40/0.99 (define @t1041 () (forall @t9 @t928)) % 0.40/0.99 (define @t1042 () (=> @t1041 @t1040)) % 0.40/0.99 (define @t1043 () (=> @t1041 @t1042)) % 0.40/0.99 (define @t1044 () (=> @t1041 @t1043)) % 0.40/0.99 (define @t1045 () (not (tptp.in @t4 (tptp.prop2set false)))) % 0.40/0.99 (define @t1046 () (forall @t9 @t1045)) % 0.40/0.99 (define @t1047 () (=> @t1046 @t1044)) % 0.40/0.99 (define @t1048 () (not @t1025)) % 0.40/0.99 (define @t1049 () (forall @t159 (or @t1048 @t906))) % 0.40/0.99 (define @t1050 () (=> @t1049 @t1047)) % 0.40/0.99 (define @t1051 () (forall @t159 (or @t1048 @t782))) % 0.40/0.99 (define @t1052 () (=> @t1051 @t1050)) % 0.40/0.99 (define @t1053 () (forall @t159 (or @t783 @t907 @t1025))) % 0.40/0.99 (define @t1054 () (=> @t1053 @t1052)) % 0.40/0.99 (define @t1055 () (@var "BOUND_VARIABLE_9117" $$unsorted)) % 0.40/0.99 (define @t1056 () (not (_ @t143 @t1055))) % 0.40/0.99 (define @t1057 () (_ @t143 @t884)) % 0.40/0.99 (define @t1058 () (@list @t143 @t1055)) % 0.40/0.99 (define @t1059 () (forall @t1058 (or @t1057 @t1056 (not (forall @t70 (or @t882 (= @t19 @t1055))))))) % 0.40/0.99 (define @t1060 () (=> @t1059 @t1054)) % 0.40/0.99 (define @t1061 () (@var "BOUND_VARIABLE_9037" $$unsorted)) % 0.40/0.99 (define @t1062 () (tptp.in @t1061 @t95)) % 0.40/0.99 (define @t1063 () (not (tptp.in @t1061 @t93))) % 0.40/0.99 (define @t1064 () (tptp.in @t4 @t93)) % 0.40/0.99 (define @t1065 () (tptp.in @t93 @t1)) % 0.40/0.99 (define @t1066 () (not @t1065)) % 0.40/0.99 (define @t1067 () (or @t1066 @t1064 @t1063 @t1062)) % 0.40/0.99 (define @t1068 () (@list @t93 @t1061)) % 0.40/0.99 (define @t1069 () (forall @t1068 @t1067)) % 0.40/0.99 (define @t1070 () (not @t1069)) % 0.40/0.99 (define @t1071 () (tptp.in @t19 @t104)) % 0.40/0.99 (define @t1072 () (tptp.in @t19 @t95)) % 0.40/0.99 (define @t1073 () (forall @t70 (or (not @t1072) (not @t1071)))) % 0.40/0.99 (define @t1074 () (not @t1073)) % 0.40/0.99 (define @t1075 () (tptp.in @t4 @t104)) % 0.40/0.99 (define @t1076 () (not @t1075)) % 0.40/0.99 (define @t1077 () (tptp.in @t95 @t1)) % 0.40/0.99 (define @t1078 () (not @t1077)) % 0.40/0.99 (define @t1079 () (not (forall @t112 (or @t1078 @t1076 @t1074 @t1070)))) % 0.40/0.99 (define @t1080 () (@var "BOUND_VARIABLE_9066" $$unsorted)) % 0.40/0.99 (define @t1081 () (not (tptp.in @t1080 @t104))) % 0.40/0.99 (define @t1082 () (forall @t9 (or @t1076 @t782))) % 0.40/0.99 (define @t1083 () (not @t1082)) % 0.40/0.99 (define @t1084 () (or @t1083 @t1081 @t1079)) % 0.40/0.99 (define @t1085 () (forall (@list @t104 @t1080) @t1084)) % 0.40/0.99 (define @t1086 () (not @t1085)) % 0.40/0.99 (define @t1087 () (@var "BOUND_VARIABLE_8989" $$unsorted)) % 0.40/0.99 (define @t1088 () (tptp.in @t1087 @t104)) % 0.40/0.99 (define @t1089 () (not (tptp.in @t1087 @t95))) % 0.40/0.99 (define @t1090 () (@var "BOUND_VARIABLE_8983" $$unsorted)) % 0.40/0.99 (define @t1091 () (tptp.in @t1090 @t95)) % 0.40/0.99 (define @t1092 () (not (tptp.in @t1090 @t104))) % 0.40/0.99 (define @t1093 () (tptp.in @t104 @t1)) % 0.40/0.99 (define @t1094 () (not @t1093)) % 0.40/0.99 (define @t1095 () (or @t1094 @t1078 @t1092 @t1091 @t1089 @t1088)) % 0.40/0.99 (define @t1096 () (@list @t104 @t95 @t1090 @t1087)) % 0.40/0.99 (define @t1097 () (forall @t1096 @t1095)) % 0.40/0.99 (define @t1098 () (not @t1097)) % 0.40/0.99 (define @t1099 () (forall @t118 (or @t1094 (= @t1075 @t1071)))) % 0.40/0.99 (define @t1100 () (not @t1099)) % 0.40/0.99 (define @t1101 () (forall @t135 (or @t783 @t1007 @t1100 @t129))) % 0.40/0.99 (define @t1102 () (not @t1101)) % 0.40/0.99 (define @t1103 () (@var "BOUND_VARIABLE_8932" $$unsorted)) % 0.40/0.99 (define @t1104 () (tptp.in @t1103 @t2)) % 0.40/0.99 (define @t1105 () (not (tptp.in @t1103 @t104))) % 0.40/0.99 (define @t1106 () (or @t1094 @t1105 @t1104)) % 0.40/0.99 (define @t1107 () (@list @t104 @t1103)) % 0.40/0.99 (define @t1108 () (forall @t1107 @t1106)) % 0.40/0.99 (define @t1109 () (not @t1108)) % 0.40/0.99 (define @t1110 () (or @t1109 @t1102 @t1098 @t1086)) % 0.40/0.99 (define @t1111 () (forall @t64 (not (forall @t41 @t1110)))) % 0.40/0.99 (define @t1112 () (=> @t1111 @t1060)) % 0.40/0.99 (define @t1113 () (forall @t9 (or @t804 @t783))) % 0.40/0.99 (define @t1114 () (not @t1113)) % 0.40/0.99 (define @t1115 () (not (forall @t41 (or @t978 @t1114)))) % 0.40/0.99 (define @t1116 () (@var "BOUND_VARIABLE_8907" $$unsorted)) % 0.40/0.99 (define @t1117 () (not (tptp.in @t1116 @t2))) % 0.40/0.99 (define @t1118 () (or @t1117 @t1115)) % 0.40/0.99 (define @t1119 () (forall (@list @t2 @t1116) @t1118)) % 0.40/0.99 (define @t1120 () (=> @t1119 @t1112)) % 0.40/0.99 (define @t1121 () (_ @t67 @t19 @t4)) % 0.40/0.99 (define @t1122 () (not (forall @t70 (or @t1007 (not @t1121))))) % 0.40/0.99 (define @t1123 () (forall @t9 (= @t803 @t1122))) % 0.40/0.99 (define @t1124 () (not (forall @t41 (not @t1123)))) % 0.40/0.99 (define @t1125 () (@var "BOUND_VARIABLE_8799" $$unsorted)) % 0.40/0.99 (define @t1126 () (= @t19 @t1125)) % 0.40/0.99 (define @t1127 () (_ @t67 @t4 @t19)) % 0.40/0.99 (define @t1128 () (not (forall @t70 (or (not @t1127) @t1126)))) % 0.40/0.99 (define @t1129 () (_ @t67 @t4 @t1125)) % 0.40/0.99 (define @t1130 () (@list @t1125)) % 0.40/0.99 (define @t1131 () (not (forall @t1130 (or (not @t1129) @t1128)))) % 0.40/0.99 (define @t1132 () (forall @t9 (or @t783 @t1131))) % 0.40/0.99 (define @t1133 () (forall @t81 (or (not @t1132) @t1124))) % 0.40/0.99 (define @t1134 () (=> @t1133 @t1120)) % 0.40/0.99 (define @t1135 () (@var "BOUND_VARIABLE_8780" $$unsorted)) % 0.40/0.99 (define @t1136 () (tptp.in @t1135 @t2)) % 0.40/0.99 (define @t1137 () (not (tptp.in @t1135 tptp.omega))) % 0.40/0.99 (define @t1138 () (tptp.setadjoin @t4 @t4)) % 0.40/0.99 (define @t1139 () (tptp.in @t1138 @t2)) % 0.40/0.99 (define @t1140 () (tptp.in @t4 tptp.omega)) % 0.40/0.99 (define @t1141 () (not @t1140)) % 0.40/0.99 (define @t1142 () (forall @t9 (or @t1141 @t783 @t1139))) % 0.40/0.99 (define @t1143 () (not @t1142)) % 0.40/0.99 (define @t1144 () (tptp.in tptp.emptyset @t2)) % 0.40/0.99 (define @t1145 () (not @t1144)) % 0.40/0.99 (define @t1146 () (or @t1145 @t1143 @t1137 @t1136)) % 0.40/0.99 (define @t1147 () (@list @t2 @t1135)) % 0.40/0.99 (define @t1148 () (forall @t1147 @t1146)) % 0.40/0.99 (define @t1149 () (=> @t1148 @t1134)) % 0.40/0.99 (define @t1150 () (tptp.in @t1138 tptp.omega)) % 0.40/0.99 (define @t1151 () (forall @t9 (or @t1141 @t1150))) % 0.40/0.99 (define @t1152 () (=> @t1151 @t1149)) % 0.40/0.99 (define @t1153 () (tptp.in tptp.emptyset tptp.omega)) % 0.40/0.99 (define @t1154 () (=> @t50 @t1152)) % 0.40/0.99 (define @t1155 () (forall @t46 (= @t981 @t980))) % 0.40/0.99 (define @t1156 () (=> @t1155 @t1154)) % 0.40/0.99 (define @t1157 () (forall @t12 (= @t993 @t843))) % 0.40/0.99 (define @t1158 () (=> @t1157 @t1156)) % 0.40/0.99 (define @t1159 () (or @t129 @t1002)) % 0.40/0.99 (define @t1160 () (forall @t28 (= @t1003 @t1159))) % 0.40/0.99 (define @t1161 () (=> @t1160 @t1158)) % 0.40/0.99 (define @t1162 () (=> @t1041 @t1161)) % 0.40/0.99 (define @t1163 () (forall @t9 (= @t782 @t803))) % 0.40/0.99 (define @t1164 () (forall @t12 (or (not @t1163) @t3))) % 0.40/0.99 (define @t1165 () (=> @t1164 @t1162)) % 0.40/0.99 (define @t1166 () (=> @t856 (=> true @t854))) % 0.40/0.99 (define @t1167 () (=> @t857 @t1166)) % 0.40/0.99 (define @t1168 () (=> @t858 @t1167)) % 0.40/0.99 (define @t1169 () (=> @t859 @t1168)) % 0.40/0.99 (define @t1170 () (=> @t861 @t1169)) % 0.40/0.99 (define @t1171 () (=> @t864 @t1170)) % 0.40/0.99 (define @t1172 () (=> @t856 @t1171)) % 0.40/0.99 (define @t1173 () (=> @t856 @t1172)) % 0.40/0.99 (define @t1174 () (=> @t864 @t1173)) % 0.40/0.99 (define @t1175 () (=> @t875 @t1174)) % 0.40/0.99 (define @t1176 () (=> @t890 @t1175)) % 0.40/0.99 (define @t1177 () (=> @t899 @t1176)) % 0.40/0.99 (define @t1178 () (=> true (=> true @t1177))) % 0.40/0.99 (define @t1179 () (=> true @t1178)) % 0.40/0.99 (define @t1180 () (=> true @t1179)) % 0.40/0.99 (define @t1181 () (=> true @t1180)) % 0.40/0.99 (define @t1182 () (=> @t911 @t1181)) % 0.40/0.99 (define @t1183 () (=> @t899 @t1182)) % 0.40/0.99 (define @t1184 () (=> true (=> true @t1183))) % 0.40/0.99 (define @t1185 () (=> @t914 @t1184)) % 0.40/0.99 (define @t1186 () (=> @t920 @t1185)) % 0.40/0.99 (define @t1187 () (=> true (=> true @t1186))) % 0.40/0.99 (define @t1188 () (=> true @t1187)) % 0.40/0.99 (define @t1189 () (=> @t923 @t1188)) % 0.40/0.99 (define @t1190 () (=> @t925 @t1189)) % 0.40/0.99 (define @t1191 () (=> true (=> true @t1190))) % 0.40/0.99 (define @t1192 () (=> true @t1191)) % 0.40/0.99 (define @t1193 () (=> true @t1192)) % 0.40/0.99 (define @t1194 () (=> @t929 @t1193)) % 0.40/0.99 (define @t1195 () (=> @t937 @t1194)) % 0.40/0.99 (define @t1196 () (=> @t799 @t1195)) % 0.40/0.99 (define @t1197 () (=> @t941 @t1196)) % 0.40/0.99 (define @t1198 () (=> @t946 @t1197)) % 0.40/0.99 (define @t1199 () (=> @t951 @t1198)) % 0.40/0.99 (define @t1200 () (=> @t954 @t1199)) % 0.40/0.99 (define @t1201 () (=> @t956 @t1200)) % 0.40/0.99 (define @t1202 () (=> @t958 @t1201)) % 0.40/0.99 (define @t1203 () (=> @t962 @t1202)) % 0.40/0.99 (define @t1204 () (=> @t970 @t1203)) % 0.40/0.99 (define @t1205 () (=> @t975 @t1204)) % 0.40/0.99 (define @t1206 () (=> @t983 @t1205)) % 0.40/0.99 (define @t1207 () (=> @t985 @t1206)) % 0.40/0.99 (define @t1208 () (=> @t987 @t1207)) % 0.40/0.99 (define @t1209 () (=> @t990 @t1208)) % 0.40/0.99 (define @t1210 () (=> @t990 @t1209)) % 0.40/0.99 (define @t1211 () (=> @t995 @t1210)) % 0.40/0.99 (define @t1212 () (=> @t1000 @t1211)) % 0.40/0.99 (define @t1213 () (=> @t1004 @t1212)) % 0.40/0.99 (define @t1214 () (=> @t1004 @t1213)) % 0.40/0.99 (define @t1215 () (=> @t1008 @t1214)) % 0.40/0.99 (define @t1216 () (=> @t221 @t1215)) % 0.40/0.99 (define @t1217 () (=> @t1015 @t1216)) % 0.40/0.99 (define @t1218 () (=> @t1020 @t1217)) % 0.40/0.99 (define @t1219 () (=> @t1022 @t1218)) % 0.40/0.99 (define @t1220 () (=> @t962 @t1219)) % 0.40/0.99 (define @t1221 () (=> @t1026 @t1220)) % 0.40/0.99 (define @t1222 () (=> @t1028 @t1221)) % 0.40/0.99 (define @t1223 () (=> @t1028 @t1222)) % 0.40/0.99 (define @t1224 () (=> @t1032 @t1223)) % 0.40/0.99 (define @t1225 () (=> @t1039 @t1224)) % 0.40/0.99 (define @t1226 () (=> @t1041 @t1225)) % 0.40/0.99 (define @t1227 () (=> @t1041 @t1226)) % 0.40/0.99 (define @t1228 () (=> @t1041 @t1227)) % 0.40/0.99 (define @t1229 () (=> @t1046 @t1228)) % 0.40/0.99 (define @t1230 () (=> @t1049 (=> true @t1229))) % 0.40/0.99 (define @t1231 () (=> @t1051 @t1230)) % 0.40/0.99 (define @t1232 () (=> @t1053 @t1231)) % 0.40/0.99 (define @t1233 () (=> @t1059 @t1232)) % 0.40/0.99 (define @t1234 () (=> @t1111 @t1233)) % 0.40/0.99 (define @t1235 () (=> @t1119 @t1234)) % 0.40/0.99 (define @t1236 () (=> @t1133 @t1235)) % 0.40/0.99 (define @t1237 () (=> @t1148 @t1236)) % 0.40/0.99 (define @t1238 () (=> @t1151 @t1237)) % 0.40/0.99 (define @t1239 () (=> @t50 @t1238)) % 0.40/0.99 (define @t1240 () (=> @t1155 @t1239)) % 0.40/0.99 (define @t1241 () (=> @t1157 @t1240)) % 0.40/0.99 (define @t1242 () (=> @t1160 @t1241)) % 0.40/0.99 (define @t1243 () (=> @t1041 @t1242)) % 0.40/0.99 (define @t1244 () (=> @t1164 @t1243)) % 0.40/0.99 (define @t1245 () (= @t616 @t788)) % 0.40/0.99 (define @t1246 () (not @t1245)) % 0.40/0.99 (define @t1247 () (tptp.setunion @t616)) % 0.40/0.99 (define @t1248 () (tptp.in @t785 @t1247)) % 0.40/0.99 (define @t1249 () (not @t1248)) % 0.40/0.99 (define @t1250 () (tptp.in @t787 @t1247)) % 0.40/0.99 (define @t1251 () (not @t1250)) % 0.40/0.99 (define @t1252 () (or @t1251 @t1249 @t1246)) % 0.40/0.99 (define @t1253 () (forall @t794 @t1252)) % 0.40/0.99 (define @t1254 () (not @t1253)) % 0.40/0.99 (define @t1255 () (not (tptp.in @t785 @t972))) % 0.40/0.99 (define @t1256 () (not (= @t2 (tptp.setadjoin @t780 (tptp.setadjoin (tptp.setadjoin @t4 @t786) tptp.emptyset))))) % 0.40/0.99 (define @t1257 () (or @t982 @t1255 @t1256)) % 0.40/0.99 (define @t1258 () (@list @t4 @t785)) % 0.40/0.99 (define @t1259 () (forall @t1258 @t1257)) % 0.40/0.99 (define @t1260 () (@list @t4)) % 0.40/0.99 (define @t1261 () (not @t1259)) % 0.40/0.99 (define @t1262 () (lambda @t64 @t1261)) % 0.40/0.99 (define @t1263 () (lambda @t70 @t616)) % 0.40/0.99 (define @t1264 () (_ @t777 @t4)) % 0.40/0.99 (define @t1265 () (forall @t135 (_ @t1262 (_ @t1264 @t19)))) % 0.40/0.99 (define @t1266 () (or @t1255 @t1256)) % 0.40/0.99 (define @t1267 () (or @t982 @t1266)) % 0.40/0.99 (define @t1268 () (forall @t1258 @t1267)) % 0.40/0.99 (define @t1269 () (@list @t785)) % 0.40/0.99 (define @t1270 () (forall @t1269 @t1267)) % 0.40/0.99 (define @t1271 () (forall @t1269 @t1266)) % 0.40/0.99 (define @t1272 () (@list @t19)) % 0.40/0.99 (define @t1273 () (or @t982 @t1271)) % 0.40/0.99 (define @t1274 () (tptp.in @t19 @t972)) % 0.40/0.99 (define @t1275 () (forall @t70 (or (not @t1274) (not (= @t2 @t792))))) % 0.40/0.99 (define @t1276 () (not @t44)) % 0.40/0.99 (define @t1277 () (or @t1276 @t1275)) % 0.40/0.99 (define @t1278 () (not @t1275)) % 0.40/0.99 (define @t1279 () (and @t44 @t1278)) % 0.40/0.99 (define @t1280 () (forall @t9 (not @t1279))) % 0.40/0.99 (define @t1281 () (not @t1280)) % 0.40/0.99 (define @t1282 () (not @t770)) % 0.40/0.99 (define @t1283 () (not @t771)) % 0.40/0.99 (define @t1284 () (or @t1283 @t1282)) % 0.40/0.99 (define @t1285 () (forall @t70 (not @t772))) % 0.40/0.99 (define @t1286 () (not @t1285)) % 0.40/0.99 (define @t1287 () (=> tptp.kpairp @t784)) % 0.40/0.99 (define @t1288 () (forall @t135 (_ @t1262 @t616))) % 0.40/0.99 (define @t1289 () (=> tptp.kpairiskpair @t1287)) % 0.40/0.99 (define @t1290 () (=> tptp.setukpairIR @t1289)) % 0.40/0.99 (define @t1291 () (=> tptp.setukpairIL @t1290)) % 0.40/0.99 (define @t1292 () (=> tptp.secondinupair @t1291)) % 0.40/0.99 (define @t1293 () (or @t7 @t6 @t608)) % 0.40/0.99 (define @t1294 () (not @t434)) % 0.40/0.99 (define @t1295 () (not @t197)) % 0.40/0.99 (define @t1296 () (=> tptp.symdiffIneg2 @t1292)) % 0.40/0.99 (define @t1297 () (or @t197 @t434 @t608)) % 0.40/0.99 (define @t1298 () (=> tptp.symdiffIneg1 @t1296)) % 0.40/0.99 (define @t1299 () (or @t7 @t434 @t598)) % 0.40/0.99 (define @t1300 () (=> tptp.symdiffI2 @t1298)) % 0.40/0.99 (define @t1301 () (or @t197 @t6 @t598)) % 0.40/0.99 (define @t1302 () (=> tptp.symdiffI1 @t1300)) % 0.40/0.99 (define @t1303 () (or @t608 @t806 @t805)) % 0.40/0.99 (define @t1304 () (or @t806 @t805)) % 0.40/0.99 (define @t1305 () (not false)) % 0.40/0.99 (define @t1306 () (and @t783 @t803 @t1305)) % 0.40/0.99 (define @t1307 () (and @t782 @t804 @t1305)) % 0.40/0.99 (define @t1308 () (or @t1307 @t1306)) % 0.40/0.99 (define @t1309 () (or @t1307 @t1306 false)) % 0.40/0.99 (define @t1310 () (not @t173)) % 0.40/0.99 (define @t1311 () (and @t783 @t803 @t1310)) % 0.40/0.99 (define @t1312 () (and @t782 @t804 @t1310)) % 0.40/0.99 (define @t1313 () (not (= @t173 false))) % 0.40/0.99 (define @t1314 () (or @t173 @t1312 @t1311 @t173)) % 0.40/0.99 (define @t1315 () (or @t1312 @t1311 @t173)) % 0.40/0.99 (define @t1316 () (and @t197 @t6 @t1310)) % 0.40/0.99 (define @t1317 () (and @t7 @t434 @t1310)) % 0.40/0.99 (define @t1318 () (or @t1317 @t1316 @t173)) % 0.40/0.99 (define @t1319 () (and @t6 @t1310)) % 0.40/0.99 (define @t1320 () (not @t497)) % 0.40/0.99 (define @t1321 () (=> tptp.symdiffE @t1302)) % 0.40/0.99 (define @t1322 () (= tptp.emptyset @t564)) % 0.40/0.99 (define @t1323 () (not @t1322)) % 0.40/0.99 (define @t1324 () (or @t1323 @t419)) % 0.40/0.99 (define @t1325 () (=> tptp.setminusSubset1 @t1321)) % 0.40/0.99 (define @t1326 () (=> tptp.setminusLsub @t1325)) % 0.40/0.99 (define @t1327 () (or @t434 @t577)) % 0.40/0.99 (define @t1328 () (=> tptp.setminusIRneg @t1326)) % 0.40/0.99 (define @t1329 () (or @t7 @t577)) % 0.40/0.99 (define @t1330 () (=> tptp.setminusILneg @t1328)) % 0.40/0.99 (define @t1331 () (or @t565 @t6 @t197)) % 0.40/0.99 (define @t1332 () (or @t6 @t197)) % 0.40/0.99 (define @t1333 () (not @t577)) % 0.40/0.99 (define @t1334 () (=> tptp.setminusELneg @t1330)) % 0.40/0.99 (define @t1335 () (or @t565 @t197 @t6)) % 0.40/0.99 (define @t1336 () (or @t197 @t6)) % 0.40/0.99 (define @t1337 () (=> tptp.setminusERneg @t1334)) % 0.40/0.99 (define @t1338 () (or @t438 @t1322)) % 0.40/0.99 (define @t1339 () (=> tptp.setminusSubset2 @t1337)) % 0.40/0.99 (define @t1340 () (or @t577 @t434)) % 0.40/0.99 (define @t1341 () (=> tptp.setminusER @t1339)) % 0.40/0.99 (define @t1342 () (or @t577 @t7)) % 0.40/0.99 (define @t1343 () (=> tptp.setminusEL @t1341)) % 0.40/0.99 (define @t1344 () (or @t197 @t6 @t565)) % 0.40/0.99 (define @t1345 () (=> tptp.setminusI @t1343)) % 0.40/0.99 (define @t1346 () (=> tptp.bs114d @t1345)) % 0.40/0.99 (define @t1347 () (= @t2 @t514)) % 0.40/0.99 (define @t1348 () (not @t1347)) % 0.40/0.99 (define @t1349 () (or @t1348 @t419)) % 0.40/0.99 (define @t1350 () (=> tptp.binintersectSubset1 @t1346)) % 0.40/0.99 (define @t1351 () (= @t1 @t514)) % 0.40/0.99 (define @t1352 () (not @t424)) % 0.40/0.99 (define @t1353 () (or @t1352 @t1351)) % 0.40/0.99 (define @t1354 () (=> tptp.binintersectSubset4 @t1350)) % 0.40/0.99 (define @t1355 () (_ tptp.subset @t815)) % 0.40/0.99 (define @t1356 () (=> tptp.binintersectRsub @t1354)) % 0.40/0.99 (define @t1357 () (= tptp.emptyset @t514)) % 0.40/0.99 (define @t1358 () (or @t825 @t1357)) % 0.40/0.99 (define @t1359 () (or @t197 @t434)) % 0.40/0.99 (define @t1360 () (forall @t9 (not @t542))) % 0.40/0.99 (define @t1361 () (not @t1360)) % 0.40/0.99 (define @t1362 () (=> tptp.disjointsetsI1 @t1356)) % 0.40/0.99 (define @t1363 () (not @t515)) % 0.40/0.99 (define @t1364 () (or @t1363 @t6)) % 0.40/0.99 (define @t1365 () (=> tptp.binintersectER @t1362)) % 0.40/0.99 (define @t1366 () (not @t1351)) % 0.40/0.99 (define @t1367 () (or @t1366 @t424)) % 0.40/0.99 (define @t1368 () (=> tptp.binintersectSubset3 @t1365)) % 0.40/0.99 (define @t1369 () (or @t438 @t1347)) % 0.40/0.99 (define @t1370 () (=> tptp.binintersectSubset2 @t1368)) % 0.40/0.99 (define @t1371 () (=> tptp.binintersectLsub @t1370)) % 0.40/0.99 (define @t1372 () (or @t1363 @t7)) % 0.40/0.99 (define @t1373 () (=> tptp.binintersectEL @t1371)) % 0.40/0.99 (define @t1374 () (not @t521)) % 0.40/0.99 (define @t1375 () (not @t523)) % 0.40/0.99 (define @t1376 () (or @t1375 @t1374 @t520)) % 0.40/0.99 (define @t1377 () (=> tptp.binintersectSubset5 @t1373)) % 0.40/0.99 (define @t1378 () (or @t197 @t434 @t515)) % 0.40/0.99 (define @t1379 () (=> tptp.binintersectI @t1377)) % 0.40/0.99 (define @t1380 () (=> tptp.binunionRsub @t1379)) % 0.40/1.00 (define @t1381 () (=> tptp.binunionLsub @t1380)) % 0.40/1.00 (define @t1382 () (not @t492)) % 0.40/1.00 (define @t1383 () (or @t1382 @t7 @t6)) % 0.40/1.00 (define @t1384 () (=> tptp.binunionE @t1381)) % 0.40/1.00 (define @t1385 () (and @t803 @t1305)) % 0.40/1.00 (define @t1386 () (and @t782 @t1305)) % 0.40/1.00 (define @t1387 () (or @t836 @t1386 @t1385)) % 0.40/1.00 (define @t1388 () (or @t836 @t1386 @t1385 false)) % 0.40/1.00 (define @t1389 () (and @t803 @t1310)) % 0.40/1.00 (define @t1390 () (and @t782 @t1310)) % 0.40/1.00 (define @t1391 () (or @t173 @t836 @t1390 @t1389 @t173)) % 0.40/1.00 (define @t1392 () (or @t836 @t1390 @t1389 @t173)) % 0.40/1.00 (define @t1393 () (forall @t179 @t1392)) % 0.40/1.00 (define @t1394 () (forall @t245 @t1393)) % 0.40/1.00 (define @t1395 () (and @t7 @t1310)) % 0.40/1.00 (define @t1396 () (or @t1382 @t1395 @t1319 @t173)) % 0.40/1.00 (define @t1397 () (or @t1395 @t1319 @t173)) % 0.40/1.00 (define @t1398 () (=> tptp.binunionEcases @t1384)) % 0.40/1.00 (define @t1399 () (or @t434 @t492)) % 0.40/1.00 (define @t1400 () (=> tptp.binunionIR @t1398)) % 0.40/1.00 (define @t1401 () (=> tptp.upairset2IR @t1400)) % 0.40/1.00 (define @t1402 () (or @t197 @t492)) % 0.40/1.00 (define @t1403 () (=> tptp.binunionIL @t1401)) % 0.40/1.00 (define @t1404 () (lambda @t9 @t906)) % 0.40/1.00 (define @t1405 () (tptp.dsetconstr @t2 @t1404)) % 0.40/1.00 (define @t1406 () (tptp.subset @t1405 @t2)) % 0.40/1.00 (define @t1407 () (=> tptp.sepSubset @t1403)) % 0.40/1.00 (define @t1408 () (tptp.in @t1405 @t839)) % 0.40/1.00 (define @t1409 () (=> tptp.sepInPowerset @t1407)) % 0.40/1.00 (define @t1410 () (or @t438 @t482)) % 0.40/1.00 (define @t1411 () (=> tptp.powersetsubset @t1409)) % 0.40/1.00 (define @t1412 () (=> tptp.inPowerset @t1411)) % 0.40/1.00 (define @t1413 () (not @t35)) % 0.40/1.00 (define @t1414 () (or @t1413 @t424)) % 0.40/1.00 (define @t1415 () (=> tptp.powersetE1 @t1412)) % 0.40/1.00 (define @t1416 () (or @t1352 @t35)) % 0.40/1.00 (define @t1417 () (=> tptp.powersetI1 @t1415)) % 0.40/1.00 (define @t1418 () (not @t472)) % 0.40/1.00 (define @t1419 () (or @t1418 @t196)) % 0.40/1.00 (define @t1420 () (=> tptp.subsetemptysetimpeq @t1417)) % 0.40/1.00 (define @t1421 () (or @t438 @t1352 @t3)) % 0.40/1.00 (define @t1422 () (=> tptp.setextsub @t1420)) % 0.40/1.00 (define @t1423 () (or @t438 @t466)) % 0.40/1.00 (define @t1424 () (=> tptp.subset2powerset @t1422)) % 0.40/1.00 (define @t1425 () (or @t438 @t462)) % 0.40/1.00 (define @t1426 () (=> tptp.setadjoinSub2 @t1424)) % 0.40/1.00 (define @t1427 () (=> tptp.setadjoinSub @t1426)) % 0.40/1.00 (define @t1428 () (not @t452)) % 0.40/1.00 (define @t1429 () (or @t438 @t1428 @t451)) % 0.40/1.00 (define @t1430 () (=> tptp.subsetTrans @t1427)) % 0.40/1.00 (define @t1431 () (=> tptp.subsetRefl @t1430)) % 0.40/1.00 (define @t1432 () (@list @t1 @t4)) % 0.40/1.00 (define @t1433 () (or @t804 @t803)) % 0.40/1.00 (define @t1434 () (not true)) % 0.40/1.00 (define @t1435 () (not (= @t1 @t1))) % 0.40/1.00 (define @t1436 () (or @t804 @t803 @t1435)) % 0.40/1.00 (define @t1437 () (or @t442 @t783 @t803 @t442)) % 0.40/1.00 (define @t1438 () (or @t783 @t803 @t442)) % 0.40/1.00 (define @t1439 () (forall @t64 @t1438)) % 0.40/1.00 (define @t1440 () (forall @t1432 @t1439)) % 0.40/1.00 (define @t1441 () (forall (@list @t1 @t4 @t2) @t1438)) % 0.40/1.00 (define @t1442 () (or @t197 @t6 @t442)) % 0.40/1.00 (define @t1443 () (=> tptp.notequalI2 @t1431)) % 0.40/1.00 (define @t1444 () (or @t855 @t1435)) % 0.40/1.00 (define @t1445 () (or @t442 @t807 @t442)) % 0.40/1.00 (define @t1446 () (or @t807 @t442)) % 0.40/1.00 (define @t1447 () (forall @t64 @t1446)) % 0.40/1.00 (define @t1448 () (forall @t41 @t1447)) % 0.40/1.00 (define @t1449 () (@list @t1 @t2)) % 0.40/1.00 (define @t1450 () (forall @t1449 @t1446)) % 0.40/1.00 (define @t1451 () (or @t419 @t442)) % 0.40/1.00 (define @t1452 () (=> tptp.notequalI1 @t1443)) % 0.40/1.00 (define @t1453 () (or @t197 @t6 @t438)) % 0.40/1.00 (define @t1454 () (=> tptp.notsubsetI @t1452)) % 0.40/1.00 (define @t1455 () (or @t438 @t6 @t197)) % 0.40/1.00 (define @t1456 () (=> tptp.subsetE2 @t1454)) % 0.40/1.00 (define @t1457 () (or @t438 @t197 @t6)) % 0.40/1.00 (define @t1458 () (=> tptp.subsetE @t1456)) % 0.40/1.00 (define @t1459 () (=> tptp.emptysetsubset @t1458)) % 0.40/1.00 (define @t1460 () (or @t863 @t419)) % 0.40/1.00 (define @t1461 () (=> tptp.subsetI2 @t1459)) % 0.40/1.00 (define @t1462 () (or @t1435 @t855)) % 0.40/1.00 (define @t1463 () (or @t442 @t442 @t807)) % 0.40/1.00 (define @t1464 () (or @t442 @t807)) % 0.40/1.00 (define @t1465 () (forall @t64 @t1464)) % 0.40/1.00 (define @t1466 () (forall @t41 @t1465)) % 0.40/1.00 (define @t1467 () (forall @t1449 @t1464)) % 0.40/1.00 (define @t1468 () (or @t442 @t419)) % 0.40/1.00 (define @t1469 () (=> tptp.eqimpsubset1 @t1461)) % 0.40/1.00 (define @t1470 () (or @t442 @t442 @t821)) % 0.40/1.00 (define @t1471 () (or @t442 @t821)) % 0.40/1.00 (define @t1472 () (forall @t64 @t1471)) % 0.40/1.00 (define @t1473 () (forall @t41 @t1472)) % 0.40/1.00 (define @t1474 () (forall @t1449 @t1471)) % 0.40/1.00 (define @t1475 () (or @t442 @t424)) % 0.40/1.00 (define @t1476 () (=> tptp.eqimpsubset2 @t1469)) % 0.40/1.00 (define @t1477 () (=> tptp.subsetI1 @t1476)) % 0.40/1.00 (define @t1478 () (or @t804 @t804 @t870)) % 0.40/1.00 (define @t1479 () (forall @t9 @t1478)) % 0.40/1.00 (define @t1480 () (not @t1479)) % 0.40/1.00 (define @t1481 () (or @t1435 @t1480 (= @t866 @t868))) % 0.40/1.00 (define @t1482 () (= (tptp.dsetconstr @t2 @t865) @t868)) % 0.40/1.00 (define @t1483 () (not (forall @t9 (or @t783 @t804 @t870)))) % 0.40/1.00 (define @t1484 () (or @t442 @t442 @t1483 @t1482)) % 0.40/1.00 (define @t1485 () (or @t442 @t1483 @t1482)) % 0.40/1.00 (define @t1486 () (forall @t64 @t1485)) % 0.40/1.00 (define @t1487 () (forall @t874 @t1486)) % 0.40/1.00 (define @t1488 () (forall (@list @t1 @t865 @t867 @t2) @t1485)) % 0.40/1.00 (define @t1489 () (@list @t2 @t1 @t865 @t867)) % 0.40/1.00 (define @t1490 () (or @t1483 @t1482)) % 0.40/1.00 (define @t1491 () (or @t442 @t1490)) % 0.40/1.00 (define @t1492 () (forall @t1489 @t1491)) % 0.40/1.00 (define @t1493 () (@list @t865 @t867)) % 0.40/1.00 (define @t1494 () (forall @t1493 @t1491)) % 0.40/1.00 (define @t1495 () (forall @t1493 @t1490)) % 0.40/1.00 (define @t1496 () (or @t442 @t1495)) % 0.40/1.00 (define @t1497 () (= @t906 @t901)) % 0.40/1.00 (define @t1498 () (forall @t9 (or @t783 @t804 @t1497))) % 0.40/1.00 (define @t1499 () (not @t1498)) % 0.40/1.00 (define @t1500 () (forall @t375 (or @t1499 (= @t838 (tptp.dsetconstr @t1 @t365))))) % 0.40/1.00 (define @t1501 () (lambda @t9 @t901)) % 0.40/1.00 (define @t1502 () (tptp.dsetconstr @t1 @t1501)) % 0.40/1.00 (define @t1503 () (= @t1405 @t1502)) % 0.40/1.00 (define @t1504 () (or @t1499 @t1503)) % 0.40/1.00 (define @t1505 () (or @t1499 @t409)) % 0.40/1.00 (define @t1506 () (or @t197 @t804 @t1497)) % 0.40/1.00 (define @t1507 () (or @t804 @t1497)) % 0.40/1.00 (define @t1508 () (not (= @t4 @t4))) % 0.40/1.00 (define @t1509 () (or @t804 @t1508 @t1497)) % 0.40/1.00 (define @t1510 () (= @t906 @t877)) % 0.40/1.00 (define @t1511 () (tptp.in @t19 @t1)) % 0.40/1.00 (define @t1512 () (not @t1511)) % 0.40/1.00 (define @t1513 () (or @t282 @t1512 @t282 @t1510)) % 0.40/1.00 (define @t1514 () (or @t1512 @t282 @t1510)) % 0.40/1.00 (define @t1515 () (not @t351)) % 0.40/1.00 (define @t1516 () (or @t1515 @t282 @t371)) % 0.40/1.00 (define @t1517 () (or @t282 @t371)) % 0.40/1.00 (define @t1518 () (=> tptp.dsetconstr__Cong @t1477)) % 0.40/1.00 (define @t1519 () (or @t878 (= @t876 @t19))) % 0.40/1.00 (define @t1520 () (forall @t70 @t1519)) % 0.40/1.00 (define @t1521 () (not @t1520)) % 0.40/1.00 (define @t1522 () (or @t882 (= @t880 @t19))) % 0.40/1.00 (define @t1523 () (forall @t70 @t1522)) % 0.40/1.00 (define @t1524 () (not @t1523)) % 0.40/1.00 (define @t1525 () (or @t888 @t885 @t883 @t1524 @t879 @t1521)) % 0.40/1.00 (define @t1526 () (or @t879 @t1521)) % 0.40/1.00 (define @t1527 () (or @t883 @t1524)) % 0.40/1.00 (define @t1528 () (or @t888 @t1527 @t1526 @t885)) % 0.40/1.00 (define @t1529 () (forall @t889 @t1528)) % 0.40/1.00 (define @t1530 () (forall (@list @t880 @t876) @t1528)) % 0.40/1.00 (define @t1531 () (forall (@list @t876) @t1526)) % 0.40/1.00 (define @t1532 () (forall (@list @t880) @t1527)) % 0.40/1.00 (define @t1533 () (or @t888 @t1532 @t1531 @t885)) % 0.40/1.00 (define @t1534 () (tptp.descr @t1501)) % 0.40/1.00 (define @t1535 () (tptp.descr @t1404)) % 0.40/1.00 (define @t1536 () (= @t1535 @t1534)) % 0.40/1.00 (define @t1537 () (or @t888 @t908 @t902 @t1536)) % 0.40/1.00 (define @t1538 () (or @t888 @t908 @t902 @t401)) % 0.40/1.00 (define @t1539 () (or @t908 @t902 @t401)) % 0.40/1.00 (define @t1540 () (=> @t903 @t401)) % 0.40/1.00 (define @t1541 () (not @t909)) % 0.40/1.00 (define @t1542 () (=> @t909 @t1540)) % 0.40/1.00 (define @t1543 () (not @t366)) % 0.40/1.00 (define @t1544 () (or @t1543 @t900)) % 0.40/1.00 (define @t1545 () (not @t370)) % 0.40/1.00 (define @t1546 () (or @t1545 @t129)) % 0.40/1.00 (define @t1547 () (_ @t367 @t19)) % 0.40/1.00 (define @t1548 () (not @t1547)) % 0.40/1.00 (define @t1549 () (or @t1548 @t129)) % 0.40/1.00 (define @t1550 () (forall @t70 @t1549)) % 0.40/1.00 (define @t1551 () (not @t1550)) % 0.40/1.00 (define @t1552 () (_ @t367 @t4)) % 0.40/1.00 (define @t1553 () (not @t1552)) % 0.40/1.00 (define @t1554 () (or @t1553 @t1551)) % 0.40/1.00 (define @t1555 () (forall @t9 @t1554)) % 0.40/1.00 (define @t1556 () (not @t1555)) % 0.40/1.00 (define @t1557 () (lambda @t150 @t909)) % 0.40/1.00 (define @t1558 () (_ @t1557 @t367)) % 0.40/1.00 (define @t1559 () (=> @t1558 @t401)) % 0.40/1.00 (define @t1560 () (or @t315 @t905)) % 0.40/1.00 (define @t1561 () (not @t153)) % 0.40/1.00 (define @t1562 () (or @t1561 @t129)) % 0.40/1.00 (define @t1563 () (_ @t145 @t19)) % 0.40/1.00 (define @t1564 () (not @t1563)) % 0.40/1.00 (define @t1565 () (or @t1564 @t129)) % 0.40/1.00 (define @t1566 () (forall @t70 @t1565)) % 0.40/1.00 (define @t1567 () (not @t1566)) % 0.40/1.00 (define @t1568 () (_ @t145 @t4)) % 0.40/1.00 (define @t1569 () (not @t1568)) % 0.40/1.00 (define @t1570 () (or @t1569 @t1567)) % 0.40/1.00 (define @t1571 () (forall @t9 @t1570)) % 0.40/1.00 (define @t1572 () (not @t1571)) % 0.40/1.00 (define @t1573 () (_ @t1557 @t145)) % 0.40/1.00 (define @t1574 () (=> @t1573 @t1559)) % 0.40/1.00 (define @t1575 () (not (= @t19 @t19))) % 0.40/1.00 (define @t1576 () (or @t1575 @t886)) % 0.40/1.00 (define @t1577 () (or @t282 @t282 @t1510)) % 0.40/1.00 (define @t1578 () (or @t282 @t1510)) % 0.40/1.00 (define @t1579 () (forall @t9 @t1578)) % 0.40/1.00 (define @t1580 () (forall @t70 @t1579)) % 0.40/1.00 (define @t1581 () (@list @t19 @t4)) % 0.40/1.00 (define @t1582 () (forall @t1581 @t1578)) % 0.40/1.00 (define @t1583 () (=> @t373 @t1574)) % 0.40/1.00 (define @t1584 () (forall @t375 @t1583)) % 0.40/1.00 (define @t1585 () (and @t144 @t904)) % 0.40/1.00 (define @t1586 () (forall @t9 (not @t1585))) % 0.40/1.00 (define @t1587 () (not @t1586)) % 0.40/1.00 (define @t1588 () (=> tptp.descr__Cong @t1518)) % 0.40/1.00 (define @t1589 () (or @t882 (= @t896 @t19))) % 0.40/1.00 (define @t1590 () (forall @t70 @t1589)) % 0.40/1.00 (define @t1591 () (not @t1590)) % 0.40/1.00 (define @t1592 () (or @t897 @t1591 @t895 @t894 @t893)) % 0.40/1.00 (define @t1593 () (or @t895 @t894 @t893)) % 0.40/1.00 (define @t1594 () (or @t897 @t1591)) % 0.40/1.00 (define @t1595 () (or @t1594 @t1593)) % 0.40/1.00 (define @t1596 () (forall @t898 @t1595)) % 0.40/1.00 (define @t1597 () (forall (@list @t896 @t892 @t891) @t1595)) % 0.40/1.00 (define @t1598 () (forall (@list @t892 @t891) @t1593)) % 0.40/1.00 (define @t1599 () (forall (@list @t896) @t1594)) % 0.40/1.00 (define @t1600 () (or @t1599 @t1598)) % 0.40/1.00 (define @t1601 () (or @t315 @t1561 @t129)) % 0.40/1.00 (define @t1602 () (=> @t1573 @t343)) % 0.40/1.00 (define @t1603 () (forall @t150 @t1602)) % 0.40/1.00 (define @t1604 () (=> tptp.exuEu @t1588)) % 0.40/1.00 (define @t1605 () (=> tptp.omega__Cong @t1604)) % 0.40/1.00 (define @t1606 () (tptp.setunion @t1)) % 0.40/1.00 (define @t1607 () (or @t1435 (= @t1606 @t1606))) % 0.40/1.00 (define @t1608 () (= @t972 @t1606)) % 0.40/1.00 (define @t1609 () (or @t442 @t442 @t1608)) % 0.40/1.00 (define @t1610 () (or @t442 @t1608)) % 0.40/1.00 (define @t1611 () (forall @t64 @t1610)) % 0.40/1.00 (define @t1612 () (forall @t41 @t1611)) % 0.40/1.00 (define @t1613 () (forall @t1449 @t1610)) % 0.40/1.00 (define @t1614 () (or @t442 @t395)) % 0.40/1.00 (define @t1615 () (=> tptp.setunion__Cong @t1605)) % 0.40/1.00 (define @t1616 () (or @t1435 (= @t840 @t840))) % 0.40/1.00 (define @t1617 () (= @t839 @t840)) % 0.40/1.00 (define @t1618 () (or @t442 @t442 @t1617)) % 0.40/1.00 (define @t1619 () (or @t442 @t1617)) % 0.40/1.00 (define @t1620 () (forall @t64 @t1619)) % 0.40/1.00 (define @t1621 () (forall @t41 @t1620)) % 0.40/1.00 (define @t1622 () (forall @t1449 @t1619)) % 0.40/1.00 (define @t1623 () (or @t442 @t391)) % 0.40/1.00 (define @t1624 () (=> tptp.powerset__Cong @t1615)) % 0.40/1.00 (define @t1625 () (@var "BOUND_VARIABLE_9894" $$unsorted)) % 0.40/1.00 (define @t1626 () (@list @t19 @t1625)) % 0.40/1.00 (define @t1627 () (tptp.setadjoin @t19 @t1625)) % 0.40/1.00 (define @t1628 () (or @t1575 (= @t1627 @t1627))) % 0.40/1.00 (define @t1629 () (= @t1627 (tptp.setadjoin @t4 @t1625))) % 0.40/1.00 (define @t1630 () (or @t282 @t282 @t1629)) % 0.40/1.00 (define @t1631 () (or @t282 @t1629)) % 0.40/1.00 (define @t1632 () (forall @t9 @t1631)) % 0.40/1.00 (define @t1633 () (forall @t1626 @t1632)) % 0.40/1.00 (define @t1634 () (forall (@list @t19 @t1625 @t4) @t1631)) % 0.40/1.00 (define @t1635 () (forall (@list @t4 @t19 @t1625) @t1631)) % 0.40/1.00 (define @t1636 () (@list @t1625)) % 0.40/1.00 (define @t1637 () (forall @t1636 @t1631)) % 0.40/1.00 (define @t1638 () (forall @t1636 @t1629)) % 0.40/1.00 (define @t1639 () (or @t282 @t1638)) % 0.40/1.00 (define @t1640 () (tptp.setadjoin @t4 @t380)) % 0.40/1.00 (define @t1641 () (tptp.setadjoin @t19 @t380)) % 0.40/1.00 (define @t1642 () (= @t1641 @t1640)) % 0.40/1.00 (define @t1643 () (@list @t380)) % 0.40/1.00 (define @t1644 () (forall @t1643 @t1642)) % 0.40/1.00 (define @t1645 () (not (= @t380 @t380))) % 0.40/1.00 (define @t1646 () (or @t1645 (= @t1640 @t1641))) % 0.40/1.00 (define @t1647 () (tptp.setadjoin @t4 @t289)) % 0.40/1.00 (define @t1648 () (= @t1647 @t1641)) % 0.40/1.00 (define @t1649 () (not @t384)) % 0.40/1.00 (define @t1650 () (or @t1649 @t1649 @t1648)) % 0.40/1.00 (define @t1651 () (or @t1649 @t1648)) % 0.40/1.00 (define @t1652 () (forall @t778 @t1651)) % 0.40/1.00 (define @t1653 () (forall @t1643 @t1652)) % 0.40/1.00 (define @t1654 () (forall (@list @t380 @t289) @t1651)) % 0.40/1.00 (define @t1655 () (or @t1649 @t383)) % 0.40/1.00 (define @t1656 () (=> tptp.setadjoin__Cong @t1624)) % 0.40/1.00 (define @t1657 () (=> tptp.emptyset__Cong @t1656)) % 0.40/1.00 (define @t1658 () (= @t1573 @t1558)) % 0.40/1.00 (define @t1659 () (=> @t373 @t1658)) % 0.40/1.00 (define @t1660 () (forall @t375 @t1659)) % 0.40/1.00 (define @t1661 () (=> tptp.exu__Cong @t1657)) % 0.40/1.00 (define @t1662 () (=> tptp.exuE3u @t1661)) % 0.40/1.00 (define @t1663 () (@var "BOUND_VARIABLE_9767" $$unsorted)) % 0.40/1.00 (define @t1664 () (@list @t1 @t1663)) % 0.40/1.00 (define @t1665 () (tptp.in @t1663 @t1)) % 0.40/1.00 (define @t1666 () (or @t1435 (= @t1665 @t1665))) % 0.40/1.00 (define @t1667 () (= (tptp.in @t1663 @t2) @t1665)) % 0.40/1.00 (define @t1668 () (or @t442 @t442 @t1667)) % 0.40/1.00 (define @t1669 () (or @t442 @t1667)) % 0.40/1.00 (define @t1670 () (forall @t64 @t1669)) % 0.40/1.00 (define @t1671 () (forall @t1664 @t1670)) % 0.40/1.00 (define @t1672 () (forall (@list @t1 @t1663 @t2) @t1669)) % 0.40/1.00 (define @t1673 () (forall (@list @t2 @t1 @t1663) @t1669)) % 0.40/1.00 (define @t1674 () (@list @t1663)) % 0.40/1.00 (define @t1675 () (forall @t1674 @t1669)) % 0.40/1.00 (define @t1676 () (forall @t1674 @t1667)) % 0.40/1.00 (define @t1677 () (or @t442 @t1676)) % 0.40/1.00 (define @t1678 () (= @t1002 @t1511)) % 0.40/1.00 (define @t1679 () (forall @t70 @t1678)) % 0.40/1.00 (define @t1680 () (or @t1575 @t1678)) % 0.40/1.00 (define @t1681 () (= @t782 @t1511)) % 0.40/1.00 (define @t1682 () (or @t282 @t282 @t1681)) % 0.40/1.00 (define @t1683 () (or @t282 @t1681)) % 0.40/1.00 (define @t1684 () (forall @t9 @t1683)) % 0.40/1.00 (define @t1685 () (forall @t70 @t1684)) % 0.40/1.00 (define @t1686 () (forall @t1581 @t1683)) % 0.40/1.00 (define @t1687 () (or @t282 @t357)) % 0.40/1.00 (define @t1688 () (=> tptp.in__Cong @t1662)) % 0.40/1.00 (define @t1689 () (@var "BOUND_VARIABLE_9730" $$unsorted)) % 0.40/1.00 (define @t1690 () (@list @t1 @t1689)) % 0.40/1.00 (define @t1691 () (tptp.in @t1689 @t1)) % 0.40/1.00 (define @t1692 () (not @t1691)) % 0.40/1.00 (define @t1693 () (or @t1692 @t1691)) % 0.40/1.00 (define @t1694 () (or @t1435 @t1692 @t1691)) % 0.40/1.00 (define @t1695 () (not (tptp.in @t1689 @t2))) % 0.40/1.00 (define @t1696 () (or @t442 @t442 @t1695 @t1691)) % 0.40/1.00 (define @t1697 () (or @t442 @t1695 @t1691)) % 0.40/1.00 (define @t1698 () (forall @t64 @t1697)) % 0.40/1.00 (define @t1699 () (forall @t1690 @t1698)) % 0.40/1.00 (define @t1700 () (forall (@list @t1 @t1689 @t2) @t1697)) % 0.40/1.00 (define @t1701 () (@list @t2 @t1 @t1689)) % 0.40/1.00 (define @t1702 () (or @t1695 @t1691)) % 0.40/1.00 (define @t1703 () (or @t442 @t1702)) % 0.40/1.00 (define @t1704 () (forall @t1701 @t1703)) % 0.40/1.00 (define @t1705 () (@list @t1689)) % 0.40/1.00 (define @t1706 () (forall @t1705 @t1703)) % 0.40/1.00 (define @t1707 () (forall @t1705 @t1702)) % 0.40/1.00 (define @t1708 () (or @t442 @t1707)) % 0.40/1.00 (define @t1709 () (or @t1007 @t1511)) % 0.40/1.00 (define @t1710 () (forall @t70 @t1709)) % 0.40/1.00 (define @t1711 () (or @t1575 @t1007 @t1511)) % 0.40/1.00 (define @t1712 () (or @t282 @t282 @t783 @t1511)) % 0.40/1.00 (define @t1713 () (or @t282 @t783 @t1511)) % 0.40/1.00 (define @t1714 () (forall @t9 @t1713)) % 0.40/1.00 (define @t1715 () (forall @t70 @t1714)) % 0.40/1.00 (define @t1716 () (forall @t1581 @t1713)) % 0.40/1.00 (define @t1717 () (or @t282 @t197 @t351)) % 0.40/1.00 (define @t1718 () (=> tptp.inCongP @t1688)) % 0.40/1.00 (define @t1719 () (= @t912 @t19)) % 0.40/1.00 (define @t1720 () (forall @t70 (= @t1719 @t881))) % 0.40/1.00 (define @t1721 () (not @t1720)) % 0.40/1.00 (define @t1722 () (or @t1721 @t909)) % 0.40/1.00 (define @t1723 () (forall @t913 @t1722)) % 0.40/1.00 (define @t1724 () (@list @t912)) % 0.40/1.00 (define @t1725 () (forall @t1724 @t1722)) % 0.40/1.00 (define @t1726 () (forall @t1724 @t1721)) % 0.40/1.00 (define @t1727 () (or @t1726 @t909)) % 0.40/1.00 (define @t1728 () (= @t153 @t129)) % 0.40/1.00 (define @t1729 () (=> @t265 @t1573)) % 0.40/1.00 (define @t1730 () (forall @t150 @t1729)) % 0.40/1.00 (define @t1731 () (=> tptp.exuI2 @t1718)) % 0.40/1.00 (define @t1732 () (@list @t917)) % 0.40/1.00 (define @t1733 () (forall @t1732 @t919)) % 0.40/1.00 (define @t1734 () (forall @t1732 @t918)) % 0.40/1.00 (define @t1735 () (or @t1734 @t916 @t909)) % 0.40/1.00 (define @t1736 () (or @t1036 @t916 @t909)) % 0.40/1.00 (define @t1737 () (=> @t915 @t909)) % 0.40/1.00 (define @t1738 () (=> @t343 @t1573)) % 0.40/1.00 (define @t1739 () (forall @t9 @t315)) % 0.40/1.00 (define @t1740 () (not @t1739)) % 0.40/1.00 (define @t1741 () (=> @t186 @t1738)) % 0.40/1.00 (define @t1742 () (forall @t150 @t1741)) % 0.40/1.00 (define @t1743 () (=> tptp.exuI3 @t1731)) % 0.40/1.00 (define @t1744 () (=> @t169 @t1573)) % 0.40/1.00 (define @t1745 () (forall @t150 @t1744)) % 0.40/1.00 (define @t1746 () (=> tptp.exuI1 @t1743)) % 0.40/1.00 (define @t1747 () (forall @t9 (or @t783 @t906))) % 0.40/1.00 (define @t1748 () (not @t1747)) % 0.40/1.00 (define @t1749 () (or @t197 @t144)) % 0.40/1.00 (define @t1750 () (forall @t9 (not @t316))) % 0.40/1.00 (define @t1751 () (not @t1750)) % 0.40/1.00 (define @t1752 () (=> tptp.notdallE @t1746)) % 0.40/1.00 (define @t1753 () (forall @t9 (or @t783 @t907))) % 0.40/1.00 (define @t1754 () (or @t197 @t315)) % 0.40/1.00 (define @t1755 () (forall @t9 (not @t306))) % 0.40/1.00 (define @t1756 () (not @t1755)) % 0.40/1.00 (define @t1757 () (=> tptp.notdexE @t1752)) % 0.40/1.00 (define @t1758 () (or @t1434 @t923)) % 0.40/1.00 (define @t1759 () (tptp.prop2set @t173)) % 0.40/1.00 (define @t1760 () (tptp.set2prop @t1759)) % 0.40/1.00 (define @t1761 () (not (= @t173 true))) % 0.40/1.00 (define @t1762 () (or @t1310 @t1310 @t1760)) % 0.40/1.00 (define @t1763 () (or @t1310 @t1760)) % 0.40/1.00 (define @t1764 () (or @t1310 @t337)) % 0.40/1.00 (define @t1765 () (=> tptp.prop2set2propI @t1757)) % 0.40/1.00 (define @t1766 () (or @t1434 @t925)) % 0.40/1.00 (define @t1767 () (tptp.in tptp.emptyset @t1759)) % 0.40/1.00 (define @t1768 () (or @t1310 @t1310 @t1767)) % 0.40/1.00 (define @t1769 () (or @t1310 @t1767)) % 0.40/1.00 (define @t1770 () (or @t1310 @t334)) % 0.40/1.00 (define @t1771 () (=> tptp.prop2setI @t1765)) % 0.40/1.00 (define @t1772 () (=> tptp.quantDeMorgan4 @t1771)) % 0.40/1.00 (define @t1773 () (=> tptp.quantDeMorgan3 @t1772)) % 0.40/1.00 (define @t1774 () (=> tptp.quantDeMorgan2 @t1773)) % 0.40/1.00 (define @t1775 () (=> tptp.quantDeMorgan1 @t1774)) % 0.40/1.00 (define @t1776 () (or @t16 @t144)) % 0.40/1.00 (define @t1777 () (=> tptp.vacuousDall @t1775)) % 0.40/1.00 (define @t1778 () (or @t933 @t932)) % 0.40/1.00 (define @t1779 () (or @t1778 @t934)) % 0.40/1.00 (define @t1780 () (forall @t936 @t1779)) % 0.40/1.00 (define @t1781 () (@list @t931)) % 0.40/1.00 (define @t1782 () (forall @t1781 @t1779)) % 0.40/1.00 (define @t1783 () (forall @t1781 @t1778)) % 0.40/1.00 (define @t1784 () (or @t1783 @t934)) % 0.40/1.00 (define @t1785 () (= tptp.emptyset @t1405)) % 0.40/1.00 (define @t1786 () (not @t1785)) % 0.40/1.00 (define @t1787 () (or @t1753 @t1786)) % 0.40/1.00 (define @t1788 () (= tptp.emptyset @t304)) % 0.40/1.00 (define @t1789 () (not @t1788)) % 0.40/1.00 (define @t1790 () (or @t1753 @t1789)) % 0.40/1.00 (define @t1791 () (not @t1753)) % 0.40/1.00 (define @t1792 () (=> tptp.emptyE1 @t1777)) % 0.40/1.00 (define @t1793 () (=> tptp.upairsetIR @t1792)) % 0.40/1.00 (define @t1794 () (=> tptp.upairsetIL @t1793)) % 0.40/1.00 (define @t1795 () (not @t293)) % 0.40/1.00 (define @t1796 () (or @t1795 @t944 @t943)) % 0.40/1.00 (define @t1797 () (or @t944 @t943)) % 0.40/1.00 (define @t1798 () (=> tptp.upairsetE @t1794)) % 0.40/1.00 (define @t1799 () (not @t276)) % 0.40/1.00 (define @t1800 () (or @t1799 @t280)) % 0.40/1.00 (define @t1801 () (=> tptp.singletonsswitch @t1798)) % 0.40/1.00 (define @t1802 () (or @t1575 @t953)) % 0.40/1.00 (define @t1803 () (or @t282 @t282 @t949)) % 0.40/1.00 (define @t1804 () (or @t282 @t949)) % 0.40/1.00 (define @t1805 () (forall @t9 @t1804)) % 0.40/1.00 (define @t1806 () (forall @t70 @t1805)) % 0.40/1.00 (define @t1807 () (forall @t1581 @t1804)) % 0.40/1.00 (define @t1808 () (or @t282 @t276)) % 0.40/1.00 (define @t1809 () (=> tptp.eqinunit @t1801)) % 0.40/1.00 (define @t1810 () (or @t129 @t281)) % 0.40/1.00 (define @t1811 () (=> tptp.notinsingleton @t1809)) % 0.40/1.00 (define @t1812 () (or @t1799 @t129)) % 0.40/1.00 (define @t1813 () (=> tptp.uniqinunit @t1811)) % 0.40/1.00 (define @t1814 () (not @t196)) % 0.40/1.00 (define @t1815 () (not @t198)) % 0.40/1.00 (define @t1816 () (_ @t769 @t2)) % 0.40/1.00 (define @t1817 () (=> @t1816 @t270)) % 0.40/1.00 (define @t1818 () (forall @t64 @t1817)) % 0.40/1.00 (define @t1819 () (=> tptp.nonemptyImpWitness @t1813)) % 0.40/1.00 (define @t1820 () (or @t882 (= @t964 @t19))) % 0.40/1.00 (define @t1821 () (forall @t70 @t1820)) % 0.40/1.00 (define @t1822 () (not @t1821)) % 0.40/1.00 (define @t1823 () (or @t968 @t965 @t1822)) % 0.40/1.00 (define @t1824 () (or @t965 @t1822)) % 0.40/1.00 (define @t1825 () (or @t1824 @t968)) % 0.40/1.00 (define @t1826 () (forall @t969 @t1825)) % 0.40/1.00 (define @t1827 () (@list @t964)) % 0.40/1.00 (define @t1828 () (forall @t1827 @t1825)) % 0.40/1.00 (define @t1829 () (forall @t1827 @t1824)) % 0.40/1.00 (define @t1830 () (or @t1829 @t968)) % 0.40/1.00 (define @t1831 () (=> @t1573 @t265)) % 0.40/1.00 (define @t1832 () (forall @t150 @t1831)) % 0.40/1.00 (define @t1833 () (=> tptp.exuE2 @t1819)) % 0.40/1.00 (define @t1834 () (or @t197 @t260)) % 0.40/1.00 (define @t1835 () (=> tptp.subPowSU @t1833)) % 0.40/1.00 (define @t1836 () (or @t1276 @t980)) % 0.40/1.00 (define @t1837 () (and @t1305 @t980)) % 0.40/1.00 (define @t1838 () (or @t1837 false)) % 0.40/1.00 (define @t1839 () (and @t1310 @t980)) % 0.40/1.00 (define @t1840 () (or @t173 @t1839 @t173)) % 0.40/1.00 (define @t1841 () (or @t1839 @t173)) % 0.40/1.00 (define @t1842 () (or @t173 @t979)) % 0.40/1.00 (define @t1843 () (not @t39)) % 0.40/1.00 (define @t1844 () (or @t434 @t1843)) % 0.40/1.00 (define @t1845 () (forall @t41 @t1844)) % 0.40/1.00 (define @t1846 () (or @t173 @t1845)) % 0.40/1.00 (define @t1847 () (or @t173 @t1844)) % 0.40/1.00 (define @t1848 () (or @t434 @t1843 @t173)) % 0.40/1.00 (define @t1849 () (=> tptp.setunionE @t1835)) % 0.40/1.00 (define @t1850 () (or @t434 @t1843 @t44)) % 0.40/1.00 (define @t1851 () (=> tptp.setunionI @t1849)) % 0.40/1.00 (define @t1852 () (or @t1413 @t434 @t7)) % 0.40/1.00 (define @t1853 () (or @t434 @t7)) % 0.40/1.00 (define @t1854 () (=> tptp.powersetE @t1851)) % 0.40/1.00 (define @t1855 () (=> tptp.emptyInPowerset @t1854)) % 0.40/1.00 (define @t1856 () (=> tptp.emptyinPowerset @t1855)) % 0.40/1.00 (define @t1857 () (or @t994 @t35)) % 0.40/1.00 (define @t1858 () (=> tptp.powersetI @t1856)) % 0.40/1.00 (define @t1859 () (_ @t155 @t998)) % 0.40/1.00 (define @t1860 () (= @t2 @t1859)) % 0.40/1.00 (define @t1861 () (=> tptp.setoftrueEq @t1858)) % 0.40/1.00 (define @t1862 () (not @t26)) % 0.40/1.00 (define @t1863 () (or @t1862 @t129 @t21)) % 0.40/1.00 (define @t1864 () (or @t129 @t21)) % 0.40/1.00 (define @t1865 () (=> tptp.setadjoinOr @t1861)) % 0.40/1.00 (define @t1866 () (or @t1862 @t129 @t1002)) % 0.40/1.00 (define @t1867 () (and @t1002 @t1305)) % 0.40/1.00 (define @t1868 () (and @t129 @t1305)) % 0.40/1.00 (define @t1869 () (or @t1868 @t1867)) % 0.40/1.00 (define @t1870 () (or @t1868 @t1867 false)) % 0.40/1.00 (define @t1871 () (and @t1002 @t1310)) % 0.40/1.00 (define @t1872 () (and @t129 @t1310)) % 0.40/1.00 (define @t1873 () (or @t173 @t1872 @t1871 @t173)) % 0.40/1.00 (define @t1874 () (or @t1872 @t1871 @t173)) % 0.40/1.00 (define @t1875 () (and @t21 @t1310)) % 0.40/1.00 (define @t1876 () (or @t1872 @t1875 @t173)) % 0.40/1.00 (define @t1877 () (=> @t129 @t173)) % 0.40/1.00 (define @t1878 () (=> tptp.setadjoinE @t1865)) % 0.40/1.00 (define @t1879 () (not @t21)) % 0.40/1.00 (define @t1880 () (or @t1879 @t26)) % 0.40/1.00 (define @t1881 () (=> tptp.setadjoinIR @t1878)) % 0.40/1.00 (define @t1882 () (=> tptp.emptyinunitempty @t1881)) % 0.40/1.00 (define @t1883 () (=> tptp.setadjoinIL @t1882)) % 0.40/1.00 (define @t1884 () (not @t378)) % 0.40/1.00 (define @t1885 () (or @t1018 @t1884)) % 0.40/1.00 (define @t1886 () (not (tptp.in @t1017 @t2))) % 0.40/1.00 (define @t1887 () (or @t1814 @t1886 @t1814)) % 0.40/1.00 (define @t1888 () (or @t1886 @t1814)) % 0.40/1.00 (define @t1889 () (forall @t64 @t1888)) % 0.40/1.00 (define @t1890 () (forall @t1019 @t1889)) % 0.40/1.00 (define @t1891 () (forall (@list @t1017 @t2) @t1888)) % 0.40/1.00 (define @t1892 () (forall (@list @t2 @t1017) @t1888)) % 0.40/1.00 (define @t1893 () (forall @t1019 @t1888)) % 0.40/1.00 (define @t1894 () (forall @t1019 @t1886)) % 0.40/1.00 (define @t1895 () (or @t1894 @t1814)) % 0.40/1.00 (define @t1896 () (not @t961)) % 0.40/1.00 (define @t1897 () (=> @t89 @t1816)) % 0.40/1.00 (define @t1898 () (forall @t64 @t1897)) % 0.40/1.00 (define @t1899 () (=> tptp.nonemptyI1 @t1883)) % 0.40/1.00 (define @t1900 () (lambda @t70 @t881)) % 0.40/1.00 (define @t1901 () (tptp.dsetconstr @t2 @t1900)) % 0.40/1.00 (define @t1902 () (= tptp.emptyset @t1901)) % 0.40/1.00 (define @t1903 () (not @t1902)) % 0.40/1.00 (define @t1904 () (or @t783 @t907 @t1903)) % 0.40/1.00 (define @t1905 () (= tptp.emptyset @t156)) % 0.40/1.00 (define @t1906 () (not @t1905)) % 0.40/1.00 (define @t1907 () (or @t197 @t315 @t1906)) % 0.40/1.00 (define @t1908 () (=> @t144 @t1906)) % 0.40/1.00 (define @t1909 () (not (= @t156 tptp.emptyset))) % 0.40/1.00 (define @t1910 () (_ @t769 @t156)) % 0.40/1.00 (define @t1911 () (=> @t144 @t1910)) % 0.40/1.00 (define @t1912 () (=> @t7 @t1911)) % 0.40/1.00 (define @t1913 () (forall @t159 @t1912)) % 0.40/1.00 (define @t1914 () (=> tptp.nonemptyI @t1899)) % 0.40/1.00 (define @t1915 () (=> @t1816 @t89)) % 0.40/1.00 (define @t1916 () (forall @t64 @t1915)) % 0.40/1.00 (define @t1917 () (=> tptp.nonemptyE1 @t1914)) % 0.40/1.00 (define @t1918 () (tptp.in @t4 @t1901)) % 0.40/1.00 (define @t1919 () (= @t906 @t1918)) % 0.40/1.00 (define @t1920 () (or @t783 @t1919)) % 0.40/1.00 (define @t1921 () (= @t144 @t157)) % 0.40/1.00 (define @t1922 () (or @t197 @t1921)) % 0.40/1.00 (define @t1923 () (=> tptp.setbeta @t1917)) % 0.40/1.00 (define @t1924 () (=> tptp.noeltsimpempty @t1923)) % 0.40/1.00 (define @t1925 () (=> tptp.emptyI @t1924)) % 0.40/1.00 (define @t1926 () (=> @t993 @t3)) % 0.40/1.00 (define @t1927 () (=> tptp.setext @t1925)) % 0.40/1.00 (define @t1928 () (or @t882 (= @t1034 @t19))) % 0.40/1.00 (define @t1929 () (forall @t70 @t1928)) % 0.40/1.00 (define @t1930 () (not @t1929)) % 0.40/1.00 (define @t1931 () (or @t1037 @t1035 @t1930)) % 0.40/1.00 (define @t1932 () (or @t1035 @t1930)) % 0.40/1.00 (define @t1933 () (or @t1932 @t1037)) % 0.40/1.00 (define @t1934 () (forall @t1038 @t1933)) % 0.40/1.00 (define @t1935 () (@list @t1034)) % 0.40/1.00 (define @t1936 () (forall @t1935 @t1933)) % 0.40/1.00 (define @t1937 () (forall @t1935 @t1932)) % 0.40/1.00 (define @t1938 () (or @t1937 @t1037)) % 0.40/1.00 (define @t1939 () (=> @t1573 @t186)) % 0.40/1.00 (define @t1940 () (forall @t150 @t1939)) % 0.40/1.00 (define @t1941 () (=> tptp.exuE3e @t1927)) % 0.40/1.00 (define @t1942 () (=> tptp.notinemptyset @t1941)) % 0.40/1.00 (define @t1943 () (=> tptp.emptysetimpfalse @t1942)) % 0.40/1.00 (define @t1944 () (or @t173 @t173)) % 0.40/1.00 (define @t1945 () (=> tptp.emptysetE @t1943)) % 0.40/1.00 (define @t1946 () (or @t1045 false)) % 0.40/1.00 (define @t1947 () (tptp.in @t4 @t1759)) % 0.40/1.00 (define @t1948 () (not @t1947)) % 0.40/1.00 (define @t1949 () (or @t173 @t1948 @t173)) % 0.40/1.00 (define @t1950 () (or @t1948 @t173)) % 0.40/1.00 (define @t1951 () (forall @t179 @t1950)) % 0.40/1.00 (define @t1952 () (forall @t9 @t1951)) % 0.40/1.00 (define @t1953 () (forall (@list @t4 @t173) @t1950)) % 0.40/1.00 (define @t1954 () (not @t175)) % 0.40/1.00 (define @t1955 () (or @t1954 @t173)) % 0.40/1.00 (define @t1956 () (=> tptp.prop2setE @t1945)) % 0.40/1.00 (define @t1957 () (=> @t1573 @t169)) % 0.40/1.00 (define @t1958 () (forall @t150 @t1957)) % 0.40/1.00 (define @t1959 () (=> tptp.exuE1 @t1956)) % 0.40/1.00 (define @t1960 () (not @t1918)) % 0.40/1.00 (define @t1961 () (or @t1960 @t906)) % 0.40/1.00 (define @t1962 () (not @t157)) % 0.40/1.00 (define @t1963 () (or @t1962 @t144)) % 0.40/1.00 (define @t1964 () (=> tptp.dsetconstrER @t1959)) % 0.40/1.00 (define @t1965 () (or @t1960 @t782)) % 0.40/1.00 (define @t1966 () (or @t1962 @t7)) % 0.40/1.00 (define @t1967 () (=> tptp.dsetconstrEL @t1964)) % 0.40/1.00 (define @t1968 () (or @t783 @t907 @t1918)) % 0.40/1.00 (define @t1969 () (or @t197 @t315 @t157)) % 0.40/1.00 (define @t1970 () (=> tptp.dsetconstrI @t1967)) % 0.40/1.00 (define @t1971 () (or @t882 (= @t1055 @t19))) % 0.40/1.00 (define @t1972 () (forall @t70 @t1971)) % 0.40/1.00 (define @t1973 () (not @t1972)) % 0.40/1.00 (define @t1974 () (or @t1057 @t1056 @t1973)) % 0.40/1.00 (define @t1975 () (or @t1056 @t1973)) % 0.40/1.00 (define @t1976 () (or @t1975 @t1057)) % 0.40/1.00 (define @t1977 () (forall @t1058 @t1976)) % 0.40/1.00 (define @t1978 () (@list @t1055)) % 0.40/1.00 (define @t1979 () (forall @t1978 @t1976)) % 0.40/1.00 (define @t1980 () (forall @t1978 @t1975)) % 0.40/1.00 (define @t1981 () (or @t1980 @t1057)) % 0.40/1.00 (define @t1982 () (_ @t143 @t1535)) % 0.40/1.00 (define @t1983 () (or @t908 @t1982)) % 0.40/1.00 (define @t1984 () (or @t908 @t147)) % 0.40/1.00 (define @t1985 () (=> @t1573 @t147)) % 0.40/1.00 (define @t1986 () (forall @t150 @t1985)) % 0.40/1.00 (define @t1987 () (=> tptp.descrp @t1970)) % 0.40/1.00 (define @t1988 () (and @t1108 @t1101 @t1097 @t1085)) % 0.40/1.00 (define @t1989 () (forall @t41 (not @t1988))) % 0.40/1.00 (define @t1990 () (not @t1989)) % 0.40/1.00 (define @t1991 () (@list @t1080)) % 0.40/1.00 (define @t1992 () (forall @t1991 @t1084)) % 0.40/1.00 (define @t1993 () (forall @t1991 @t1081)) % 0.40/1.00 (define @t1994 () (or @t1083 @t1993 @t1079)) % 0.40/1.00 (define @t1995 () (forall @t9 @t1076)) % 0.40/1.00 (define @t1996 () (or @t1083 @t1995 @t1079)) % 0.40/1.00 (define @t1997 () (not @t1995)) % 0.40/1.00 (define @t1998 () (and @t1082 @t1997)) % 0.40/1.00 (define @t1999 () (not @t109)) % 0.40/1.00 (define @t2000 () (not @t110)) % 0.40/1.00 (define @t2001 () (or @t2000 @t1999 @t1074 @t1070)) % 0.40/1.00 (define @t2002 () (and @t110 @t109 @t1073 @t1069)) % 0.40/1.00 (define @t2003 () (forall @t112 (not @t2002))) % 0.40/1.00 (define @t2004 () (not @t2003)) % 0.40/1.00 (define @t2005 () (or @t1063 @t1062)) % 0.40/1.00 (define @t2006 () (or @t1066 @t2005 @t1064)) % 0.40/1.00 (define @t2007 () (forall @t1068 @t2006)) % 0.40/1.00 (define @t2008 () (@list @t1061)) % 0.40/1.00 (define @t2009 () (forall @t2008 @t2006)) % 0.40/1.00 (define @t2010 () (forall @t2008 @t2005)) % 0.40/1.00 (define @t2011 () (or @t1066 @t2010 @t1064)) % 0.40/1.00 (define @t2012 () (tptp.in @t19 @t93)) % 0.40/1.00 (define @t2013 () (forall @t70 (or (not @t2012) @t1072))) % 0.40/1.00 (define @t2014 () (not @t100)) % 0.40/1.00 (define @t2015 () (or @t2014 @t2013 @t94)) % 0.40/1.00 (define @t2016 () (or @t2013 @t94)) % 0.40/1.00 (define @t2017 () (not @t97)) % 0.40/1.00 (define @t2018 () (or @t2017 @t96)) % 0.40/1.00 (define @t2019 () (not @t105)) % 0.40/1.00 (define @t2020 () (not @t96)) % 0.40/1.00 (define @t2021 () (or @t2020 @t2019)) % 0.40/1.00 (define @t2022 () (forall @t70 (not @t106))) % 0.40/1.00 (define @t2023 () (not @t2022)) % 0.40/1.00 (define @t2024 () (forall @t9 @t1999)) % 0.40/1.00 (define @t2025 () (not @t2024)) % 0.40/1.00 (define @t2026 () (or @t1999 @t7)) % 0.40/1.00 (define @t2027 () (or @t1089 @t1088)) % 0.40/1.00 (define @t2028 () (or @t1092 @t1091)) % 0.40/1.00 (define @t2029 () (or @t1094 @t1078 @t2028 @t2027)) % 0.40/1.00 (define @t2030 () (forall @t1096 @t2029)) % 0.40/1.00 (define @t2031 () (forall (@list @t1090 @t1087) @t2029)) % 0.40/1.00 (define @t2032 () (forall (@list @t1087) @t2027)) % 0.40/1.00 (define @t2033 () (forall (@list @t1090) @t2028)) % 0.40/1.00 (define @t2034 () (or @t1094 @t1078 @t2033 @t2032)) % 0.40/1.00 (define @t2035 () (tptp.in @t4 @t95)) % 0.40/1.00 (define @t2036 () (forall @t9 (or (not @t2035) @t1075))) % 0.40/1.00 (define @t2037 () (forall @t9 (or @t1076 @t2035))) % 0.40/1.00 (define @t2038 () (not @t124)) % 0.40/1.00 (define @t2039 () (or @t2038 @t2000 @t2037 @t2036)) % 0.40/1.00 (define @t2040 () (or @t2037 @t2036)) % 0.40/1.00 (define @t2041 () (not @t120)) % 0.40/1.00 (define @t2042 () (or @t2041 @t109)) % 0.40/1.00 (define @t2043 () (or @t1999 @t120)) % 0.40/1.00 (define @t2044 () (or @t197 @t1879 @t1100 @t129)) % 0.40/1.00 (define @t2045 () (=> @t1099 @t129)) % 0.40/1.00 (define @t2046 () (or @t2038 @t130)) % 0.40/1.00 (define @t2047 () (or @t1105 @t1104)) % 0.40/1.00 (define @t2048 () (or @t1094 @t2047)) % 0.40/1.00 (define @t2049 () (forall @t1107 @t2048)) % 0.40/1.00 (define @t2050 () (@list @t1103)) % 0.40/1.00 (define @t2051 () (forall @t2050 @t2048)) % 0.40/1.00 (define @t2052 () (forall @t2050 @t2047)) % 0.40/1.00 (define @t2053 () (or @t1094 @t2052)) % 0.40/1.00 (define @t2054 () (or @t2038 @t1082)) % 0.40/1.00 (define @t2055 () (=> tptp.wellorderingAx @t1987)) % 0.40/1.00 (define @t2056 () (@list @t1116)) % 0.40/1.00 (define @t2057 () (forall @t2056 @t1118)) % 0.40/1.00 (define @t2058 () (forall @t2056 @t1117)) % 0.40/1.00 (define @t2059 () (or @t2058 @t1115)) % 0.40/1.00 (define @t2060 () (or @t1843 @t1114)) % 0.40/1.00 (define @t2061 () (and @t39 @t1113)) % 0.40/1.00 (define @t2062 () (forall @t41 (not @t2061))) % 0.40/1.00 (define @t2063 () (not @t2062)) % 0.40/1.00 (define @t2064 () (or @t434 @t197)) % 0.40/1.00 (define @t2065 () (forall @t9 (not @t84))) % 0.40/1.00 (define @t2066 () (not @t2065)) % 0.40/1.00 (define @t2067 () (=> tptp.foundationAx @t2055)) % 0.40/1.00 (define @t2068 () (= @t6 @t1122)) % 0.40/1.00 (define @t2069 () (not @t68)) % 0.40/1.00 (define @t2070 () (or @t1879 @t2069)) % 0.40/1.00 (define @t2071 () (forall @t70 (not @t69))) % 0.40/1.00 (define @t2072 () (not @t2071)) % 0.40/1.00 (define @t2073 () (or @t197 @t1131)) % 0.40/1.00 (define @t2074 () (_ @t75 @t1125)) % 0.40/1.00 (define @t2075 () (not @t2074)) % 0.40/1.00 (define @t2076 () (or @t2075 @t1128)) % 0.40/1.00 (define @t2077 () (not @t76)) % 0.40/1.00 (define @t2078 () (or @t2077 @t1126)) % 0.40/1.00 (define @t2079 () (_ @t77 @t19)) % 0.40/1.00 (define @t2080 () (not @t2079)) % 0.40/1.00 (define @t2081 () (or @t2080 @t1126)) % 0.40/1.00 (define @t2082 () (forall @t70 @t2081)) % 0.40/1.00 (define @t2083 () (not @t2082)) % 0.40/1.00 (define @t2084 () (_ @t77 @t1125)) % 0.40/1.00 (define @t2085 () (not @t2084)) % 0.40/1.00 (define @t2086 () (or @t2085 @t2083)) % 0.40/1.00 (define @t2087 () (forall @t1130 @t2086)) % 0.40/1.00 (define @t2088 () (not @t2087)) % 0.40/1.00 (define @t2089 () (not (_ @t143 @t1125))) % 0.40/1.00 (define @t2090 () (or @t882 (= @t1125 @t19))) % 0.40/1.00 (define @t2091 () (forall @t70 @t2090)) % 0.40/1.00 (define @t2092 () (not @t2091)) % 0.40/1.00 (define @t2093 () (or @t2089 @t2092)) % 0.40/1.00 (define @t2094 () (forall @t1130 @t2093)) % 0.40/1.00 (define @t2095 () (not @t2094)) % 0.40/1.00 (define @t2096 () (=> @t7 (_ @t1557 @t77))) % 0.40/1.00 (define @t2097 () (forall @t9 @t2096)) % 0.40/1.00 (define @t2098 () (=> @t2097 @t74)) % 0.40/1.00 (define @t2099 () (forall @t81 @t2098)) % 0.40/1.00 (define @t2100 () (=> tptp.replAx @t2067)) % 0.40/1.00 (define @t2101 () (or @t1137 @t1136)) % 0.40/1.00 (define @t2102 () (or @t1145 @t1143 @t2101)) % 0.40/1.00 (define @t2103 () (forall @t1147 @t2102)) % 0.40/1.00 (define @t2104 () (@list @t1135)) % 0.40/1.00 (define @t2105 () (forall @t2104 @t2102)) % 0.40/1.00 (define @t2106 () (forall @t2104 @t2101)) % 0.40/1.00 (define @t2107 () (or @t1145 @t1143 @t2106)) % 0.40/1.00 (define @t2108 () (forall @t9 (or @t1141 @t782))) % 0.40/1.00 (define @t2109 () (not @t61)) % 0.40/1.00 (define @t2110 () (or @t2109 @t1143 @t2108)) % 0.40/1.00 (define @t2111 () (and @t61 @t1142)) % 0.40/1.00 (define @t2112 () (not @t54)) % 0.40/1.00 (define @t2113 () (or @t2112 @t7)) % 0.40/1.00 (define @t2114 () (_ tptp.in @t1138)) % 0.40/1.00 (define @t2115 () (or @t2112 @t197 @t58)) % 0.40/1.00 (define @t2116 () (=> tptp.omegaIndAx @t2100)) % 0.40/1.00 (define @t2117 () (or @t2112 @t53)) % 0.40/1.00 (define @t2118 () (=> tptp.omegaSAx @t2116)) % 0.40/1.00 (define @t2119 () (=> tptp.omega0Ax @t2118)) % 0.40/1.00 (define @t2120 () (= @t44 @t980)) % 0.40/1.00 (define @t2121 () (forall @t41 (not @t40))) % 0.40/1.00 (define @t2122 () (not @t2121)) % 0.40/1.00 (define @t2123 () (=> tptp.setunionAx @t2119)) % 0.40/1.00 (define @t2124 () (= @t35 @t993)) % 0.40/1.00 (define @t2125 () (=> tptp.powersetAx @t2123)) % 0.40/1.00 (define @t2126 () (= @t26 @t1864)) % 0.40/1.00 (define @t2127 () (=> tptp.setadjoinAx @t2125)) % 0.40/1.00 (define @t2128 () (=> tptp.emptysetAx @t2127)) % 0.40/1.00 (define @t2129 () (=> tptp.setextAx @t2128)) % 0.40/1.00 (define @t2130 () (or @t197 @t628)) % 0.40/1.00 (define @t2131 () (@quantifiers_skolemize @t784 0)) % 0.40/1.00 (define @t2132 () (@quantifiers_skolemize @t784 1)) % 0.40/1.00 (define @t2133 () (tptp.setadjoin @t2132 tptp.emptyset)) % 0.40/1.00 (define @t2134 () (tptp.subset @t2133 @t2131)) % 0.40/1.00 (define @t2135 () (tptp.in @t2132 @t2131)) % 0.40/1.00 (define @t2136 () (not @t2135)) % 0.40/1.00 (define @t2137 () (or @t2136 @t2134)) % 0.40/1.00 (define @t2138 () (@list true)) % 0.40/1.00 (define @t2139 () (@list @t2137)) % 0.40/1.00 (define @t2140 () (forall @t9 (or (not (tptp.in @t4 @t2133)) (tptp.in @t4 @t2131)))) % 0.40/1.00 (define @t2141 () (not @t2140)) % 0.40/1.00 (define @t2142 () (or @t2141 @t2134)) % 0.40/1.00 (define @t2143 () (@quantifiers_skolemize @t2140 0)) % 0.40/1.00 (define @t2144 () (tptp.in @t2143 @t2131)) % 0.40/1.00 (define @t2145 () (tptp.in @t2143 @t2133)) % 0.40/1.00 (define @t2146 () (not @t2145)) % 0.40/1.00 (define @t2147 () (or @t2146 @t2144)) % 0.40/1.00 (define @t2148 () (@list @t2147)) % 0.40/1.00 (define @t2149 () (or @t2146 (= @t2143 @t2132))) % 0.40/1.00 (define @t2150 () (= @t2132 @t2143)) % 0.40/1.00 (define @t2151 () (or @t2146 @t2150)) % 0.40/1.00 (assume @p1 @t14) % 0.40/1.00 (assume @p2 @t18) % 0.40/1.00 (assume @p3 @t30) % 0.40/1.00 (assume @p4 @t38) % 0.40/1.00 (assume @p5 @t48) % 0.40/1.00 (assume @p6 (= tptp.omega0Ax @t50)) % 0.40/1.00 (assume @p7 @t56) % 0.40/1.00 (assume @p8 @t66) % 0.40/1.00 (assume @p9 @t83) % 0.40/1.00 (assume @p10 @t92) % 0.40/1.00 (assume @p11 @t142) % 0.40/1.00 (assume @p12 @t152) % 0.40/1.00 (assume @p13 @t161) % 0.40/1.00 (assume @p14 @t163) % 0.40/1.00 (assume @p15 @t165) % 0.40/1.00 (assume @p16 @t172) % 0.40/1.00 (assume @p17 @t178) % 0.40/1.00 (assume @p18 @t183) % 0.40/1.00 (assume @p19 @t185) % 0.40/1.00 (assume @p20 (= tptp.notinemptyset @t17)) % 0.40/1.00 (assume @p21 @t189) % 0.40/1.00 (assume @p22 @t195) % 0.40/1.00 (assume @p23 @t201) % 0.40/1.00 (assume @p24 (= tptp.noeltsimpempty @t200)) % 0.40/1.00 (assume @p25 @t204) % 0.40/1.00 (assume @p26 @t208) % 0.40/1.00 (assume @p27 @t212) % 0.40/1.00 (assume @p28 @t215) % 0.40/1.00 (assume @p29 @t219) % 0.40/1.00 (assume @p30 (= tptp.emptyinunitempty @t221)) % 0.40/1.00 (assume @p31 @t223) % 0.40/1.00 (assume @p32 @t231) % 0.40/1.00 (assume @p33 @t234) % 0.40/1.00 (assume @p34 @t238) % 0.40/1.00 (assume @p35 @t241) % 0.40/1.00 (assume @p36 @t244) % 0.40/1.00 (assume @p37 (= tptp.emptyInPowerset @t243)) % 0.40/1.00 (assume @p38 @t247) % 0.40/1.00 (assume @p39 @t251) % 0.40/1.00 (assume @p40 @t258) % 0.40/1.00 (assume @p41 @t262) % 0.40/1.00 (assume @p42 @t268) % 0.40/1.00 (assume @p43 @t273) % 0.40/1.00 (assume @p44 @t278) % 0.40/1.00 (assume @p45 @t284) % 0.40/1.00 (assume @p46 @t286) % 0.40/1.00 (assume @p47 @t288) % 0.40/1.00 (assume @p48 @t297) % 0.40/1.00 (assume @p49 @t300) % 0.40/1.00 (assume @p50 @t303) % 0.40/1.00 (assume @p51 @t311) % 0.40/1.00 (assume @p52 @t314) % 0.40/1.00 (assume @p53 @t322) % 0.40/1.00 (assume @p54 @t327) % 0.40/1.00 (assume @p55 @t330) % 0.40/1.00 (assume @p56 @t333) % 0.40/1.00 (assume @p57 @t336) % 0.40/1.00 (assume @p58 @t339) % 0.40/1.00 (assume @p59 (= tptp.notdexE @t329)) % 0.40/1.00 (assume @p60 (= tptp.notdallE @t321)) % 0.40/1.00 (assume @p61 @t342) % 0.40/1.00 (assume @p62 @t347) % 0.40/1.00 (assume @p63 @t350) % 0.40/1.00 (assume @p64 @t356) % 0.40/1.00 (assume @p65 @t361) % 0.40/1.00 (assume @p66 @t364) % 0.40/1.00 (assume @p67 @t377) % 0.40/1.00 (assume @p68 @t379) % 0.40/1.00 (assume @p69 @t389) % 0.40/1.00 (assume @p70 @t393) % 0.40/1.00 (assume @p71 @t397) % 0.40/1.00 (assume @p72 @t398) % 0.40/1.00 (assume @p73 @t399) % 0.40/1.00 (assume @p74 @t406) % 0.40/1.00 (assume @p75 @t417) % 0.40/1.00 (assume @p76 @t422) % 0.40/1.00 (assume @p77 @t426) % 0.40/1.00 (assume @p78 @t428) % 0.40/1.00 (assume @p79 (= tptp.subsetI2 @t421)) % 0.40/1.00 (assume @p80 @t431) % 0.40/1.00 (assume @p81 @t433) % 0.40/1.00 (assume @p82 @t437) % 0.40/1.00 (assume @p83 @t441) % 0.40/1.00 (assume @p84 @t444) % 0.40/1.00 (assume @p85 @t447) % 0.40/1.00 (assume @p86 @t450) % 0.40/1.00 (assume @p87 @t456) % 0.40/1.00 (assume @p88 @t460) % 0.40/1.00 (assume @p89 @t464) % 0.40/1.00 (assume @p90 @t468) % 0.40/1.00 (assume @p91 @t471) % 0.40/1.00 (assume @p92 @t474) % 0.40/1.00 (assume @p93 @t476) % 0.40/1.00 (assume @p94 @t478) % 0.40/1.00 (assume @p95 @t481) % 0.40/1.00 (assume @p96 @t484) % 0.40/1.00 (assume @p97 @t487) % 0.40/1.00 (assume @p98 @t490) % 0.40/1.00 (assume @p99 @t494) % 0.40/1.00 (assume @p100 (= tptp.upairset2IR @t302)) % 0.40/1.00 (assume @p101 @t496) % 0.40/1.00 (assume @p102 @t503) % 0.40/1.00 (assume @p103 @t506) % 0.40/1.00 (assume @p104 @t509) % 0.40/1.00 (assume @p105 @t512) % 0.40/1.00 (assume @p106 @t518) % 0.40/1.00 (assume @p107 @t525) % 0.40/1.00 (assume @p108 @t527) % 0.40/1.00 (assume @p109 @t531) % 0.40/1.00 (assume @p110 @t535) % 0.40/1.00 (assume @p111 @t539) % 0.40/1.00 (assume @p112 @t541) % 0.40/1.00 (assume @p113 @t547) % 0.40/1.00 (assume @p114 @t550) % 0.40/1.00 (assume @p115 @t553) % 0.40/1.00 (assume @p116 @t556) % 0.40/1.00 (assume @p117 @t563) % 0.40/1.00 (assume @p118 @t568) % 0.40/1.00 (assume @p119 @t570) % 0.40/1.00 (assume @p120 @t572) % 0.40/1.00 (assume @p121 @t576) % 0.40/1.00 (assume @p122 @t579) % 0.40/1.00 (assume @p123 @t581) % 0.40/1.00 (assume @p124 @t583) % 0.40/1.00 (assume @p125 @t585) % 0.40/1.00 (assume @p126 @t588) % 0.40/1.00 (assume @p127 @t591) % 0.40/1.00 (assume @p128 @t601) % 0.40/1.00 (assume @p129 @t604) % 0.40/1.00 (assume @p130 @t607) % 0.40/1.00 (assume @p131 @t611) % 0.40/1.00 (assume @p132 @t614) % 0.40/1.00 (assume @p133 (= tptp.secondinupair @t302)) % 0.40/1.00 (assume @p134 @t620) % 0.40/1.00 (assume @p135 @t623) % 0.40/1.00 (assume @p136 @t625) % 0.40/1.00 (assume @p137 @t627) % 0.40/1.00 (assume @p138 @t767) % 0.40/1.00 (assume @p139 true) % 0.40/1.00 (step @p140 (= tptp.exu @t768) :rule refl :args (@t768)) % 0.40/1.00 (step @p141 (= tptp.nonempty @t769) :rule refl :args (@t769)) % 0.40/1.00 (step @p142 (= tptp.iskpair @t776) :rule refl :args (@t776)) % 0.40/1.00 (step @p143 (= tptp.kpair @t777) :rule refl :args (@t777)) % 0.40/1.00 (step @p144 (= tptp.cartprod @t779) :rule refl :args (@t779)) % 0.40/1.00 (step @p145 :rule evaluate :args ((= true false))) % 0.40/1.00 (step @p146 :rule refl :args (@t921)) % 0.40/1.00 (step @p147 :rule skolem_intro :args ((@purify true))) % 0.40/1.00 (step @p148 :rule symm :premises (@p147)) % 0.40/1.00 (step @p149 :rule cong :premises (@p148) :args (@t922)) % 0.40/1.00 (step @p150 :rule cong :premises (@p149) :args (@t923)) % 0.40/1.00 (step @p151 :rule cong :premises (@p150 @p146) :args (@t924)) % 0.40/1.00 (step @p152 :rule refl :args (tptp.emptyset)) % 0.40/1.00 (step @p153 :rule cong :premises (@p152 @p149) :args (@t925)) % 0.40/1.00 (step @p154 :rule cong :premises (@p153 @p151) :args (@t926)) % 0.40/1.00 (step @p155 :rule refl :args (@t929)) % 0.40/1.00 (step @p156 :rule cong :premises (@p155 @p154) :args (@t930)) % 0.40/1.00 (step @p157 :rule refl :args (@t937)) % 0.40/1.00 (step @p158 :rule cong :premises (@p157 @p156) :args (@t938)) % 0.40/1.00 (step @p159 :rule refl :args (@t799)) % 0.40/1.00 (step @p160 :rule cong :premises (@p159 @p158) :args (@t939)) % 0.40/1.00 (step @p161 :rule refl :args (@t941)) % 0.40/1.00 (step @p162 :rule cong :premises (@p161 @p160) :args (@t942)) % 0.40/1.00 (step @p163 :rule refl :args (@t946)) % 0.40/1.00 (step @p164 :rule cong :premises (@p163 @p162) :args (@t947)) % 0.40/1.00 (step @p165 :rule refl :args (@t951)) % 0.40/1.00 (step @p166 :rule cong :premises (@p165 @p164) :args (@t952)) % 0.40/1.00 (step @p167 :rule refl :args (@t954)) % 0.40/1.00 (step @p168 :rule cong :premises (@p167 @p166) :args (@t955)) % 0.40/1.00 (step @p169 :rule refl :args (@t956)) % 0.40/1.00 (step @p170 :rule cong :premises (@p169 @p168) :args (@t957)) % 0.40/1.00 (step @p171 :rule refl :args (@t958)) % 0.40/1.00 (step @p172 :rule cong :premises (@p171 @p170) :args (@t959)) % 0.40/1.00 (step @p173 :rule refl :args (@t962)) % 0.40/1.00 (step @p174 :rule cong :premises (@p173 @p172) :args (@t963)) % 0.40/1.00 (step @p175 :rule refl :args (@t970)) % 0.40/1.00 (step @p176 :rule cong :premises (@p175 @p174) :args (@t971)) % 0.40/1.00 (step @p177 :rule refl :args (@t975)) % 0.40/1.00 (step @p178 :rule cong :premises (@p177 @p176) :args (@t976)) % 0.40/1.00 (step @p179 :rule refl :args (@t983)) % 0.40/1.00 (step @p180 :rule cong :premises (@p179 @p178) :args (@t984)) % 0.40/1.00 (step @p181 :rule refl :args (@t985)) % 0.40/1.00 (step @p182 :rule cong :premises (@p181 @p180) :args (@t986)) % 0.40/1.00 (step @p183 :rule refl :args (@t987)) % 0.40/1.00 (step @p184 :rule cong :premises (@p183 @p182) :args (@t988)) % 0.40/1.00 (step @p185 :rule refl :args (@t990)) % 0.40/1.00 (step @p186 :rule cong :premises (@p185 @p184) :args (@t991)) % 0.40/1.00 (step @p187 :rule cong :premises (@p185 @p186) :args (@t992)) % 0.40/1.00 (step @p188 :rule refl :args (@t995)) % 0.40/1.00 (step @p189 :rule cong :premises (@p188 @p187) :args (@t996)) % 0.40/1.00 (step @p190 :rule refl :args (@t1000)) % 0.40/1.00 (step @p191 :rule cong :premises (@p190 @p189) :args (@t1001)) % 0.40/1.00 (step @p192 :rule refl :args (@t1004)) % 0.40/1.00 (step @p193 :rule cong :premises (@p192 @p191) :args (@t1005)) % 0.40/1.00 (step @p194 :rule cong :premises (@p192 @p193) :args (@t1006)) % 0.40/1.00 (step @p195 :rule refl :args (@t1008)) % 0.40/1.00 (step @p196 :rule cong :premises (@p195 @p194) :args (@t1009)) % 0.40/1.00 (step @p197 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 0.40/1.00 (step @p198 :rule refl :args (@t1010)) % 0.40/1.00 (step @p199 :rule refl :args (tptp.emptyset)) % 0.40/1.00 (step @p200 :rule cong :premises (@p199 @p198) :args (@t1011)) % 0.40/1.00 (step @p201 :rule trans :premises (@p200 @p197)) % 0.40/1.00 (step @p202 :rule refl :args (@t49)) % 0.40/1.00 (step @p203 :rule ho_cong :premises (@p202 @p198)) % 0.40/1.00 (step @p204 :rule cong :premises (@p203 @p201) :args ((= (_ @t49 @t1010) @t1011))) % 0.40/1.00 (step @p205 :rule symm :premises (@p204)) % 0.40/1.00 (step @p206 :rule refl :args (@t221)) % 0.40/1.00 (step @p207 :rule eq_resolve :premises (@p206 @p205)) % 0.40/1.00 (step @p208 :rule refl :args (@t220)) % 0.40/1.00 (step @p209 :rule cong :premises (@p208 @p198) :args ((= @t220 @t1010))) % 0.40/1.00 (step @p210 :rule symm :premises (@p209)) % 0.40/1.00 (step @p211 :rule eq_resolve :premises (@p208 @p210)) % 0.40/1.00 (step @p212 :rule refl :args (@t49)) % 0.40/1.00 (step @p213 :rule ho_cong :premises (@p212 @p211)) % 0.40/1.00 (step @p214 :rule trans :premises (@p213 @p207)) % 0.40/1.00 (step @p215 :rule cong :premises (@p214 @p196) :args (@t1012)) % 0.40/1.00 (step @p216 :rule refl :args (@t1015)) % 0.40/1.00 (step @p217 :rule cong :premises (@p216 @p215) :args (@t1016)) % 0.40/1.00 (step @p218 :rule refl :args (@t1020)) % 0.40/1.00 (step @p219 :rule cong :premises (@p218 @p217) :args (@t1021)) % 0.40/1.00 (step @p220 :rule refl :args (@t1022)) % 0.40/1.00 (step @p221 :rule cong :premises (@p220 @p219) :args (@t1023)) % 0.40/1.00 (step @p222 :rule cong :premises (@p173 @p221) :args (@t1024)) % 0.40/1.00 (step @p223 :rule refl :args (@t1026)) % 0.40/1.00 (step @p224 :rule cong :premises (@p223 @p222) :args (@t1027)) % 0.40/1.00 (step @p225 :rule refl :args (@t1028)) % 0.40/1.00 (step @p226 :rule cong :premises (@p225 @p224) :args (@t1029)) % 0.40/1.00 (step @p227 :rule cong :premises (@p225 @p226) :args (@t1030)) % 0.40/1.00 (step @p228 :rule refl :args (@t1032)) % 0.40/1.00 (step @p229 :rule cong :premises (@p228 @p227) :args (@t1033)) % 0.40/1.00 (step @p230 :rule refl :args (@t1039)) % 0.40/1.00 (step @p231 :rule cong :premises (@p230 @p229) :args (@t1040)) % 0.40/1.00 (step @p232 :rule refl :args (@t1041)) % 0.40/1.00 (step @p233 :rule cong :premises (@p232 @p231) :args (@t1042)) % 0.40/1.00 (step @p234 :rule cong :premises (@p232 @p233) :args (@t1043)) % 0.40/1.00 (step @p235 :rule cong :premises (@p232 @p234) :args (@t1044)) % 0.40/1.00 (step @p236 :rule refl :args (@t1046)) % 0.40/1.00 (step @p237 :rule cong :premises (@p236 @p235) :args (@t1047)) % 0.40/1.00 (step @p238 :rule refl :args (@t1049)) % 0.40/1.00 (step @p239 :rule cong :premises (@p238 @p237) :args (@t1050)) % 0.40/1.00 (step @p240 :rule refl :args (@t1051)) % 0.40/1.00 (step @p241 :rule cong :premises (@p240 @p239) :args (@t1052)) % 0.40/1.00 (step @p242 :rule refl :args (@t1053)) % 0.40/1.00 (step @p243 :rule cong :premises (@p242 @p241) :args (@t1054)) % 0.40/1.00 (step @p244 :rule refl :args (@t1059)) % 0.40/1.00 (step @p245 :rule cong :premises (@p244 @p243) :args (@t1060)) % 0.40/1.00 (step @p246 :rule refl :args (@t1111)) % 0.40/1.00 (step @p247 :rule cong :premises (@p246 @p245) :args (@t1112)) % 0.40/1.00 (step @p248 :rule refl :args (@t1119)) % 0.40/1.00 (step @p249 :rule cong :premises (@p248 @p247) :args (@t1120)) % 0.40/1.00 (step @p250 :rule refl :args (@t1133)) % 0.40/1.00 (step @p251 :rule cong :premises (@p250 @p249) :args (@t1134)) % 0.40/1.00 (step @p252 :rule refl :args (@t1148)) % 0.40/1.00 (step @p253 :rule cong :premises (@p252 @p251) :args (@t1149)) % 0.40/1.00 (step @p254 :rule refl :args (@t1151)) % 0.40/1.00 (step @p255 :rule cong :premises (@p254 @p253) :args (@t1152)) % 0.40/1.00 (step @p256 :rule refl :args (@t1153)) % 0.40/1.00 (step @p257 :rule refl :args (@t50)) % 0.40/1.00 (step @p258 :rule cong :premises (@p257 @p256) :args ((= @t50 @t1153))) % 0.40/1.00 (step @p259 :rule symm :premises (@p258)) % 0.40/1.00 (step @p260 :rule eq_resolve :premises (@p257 @p259)) % 0.40/1.00 (step @p261 :rule cong :premises (@p260 @p255) :args (@t1154)) % 0.40/1.00 (step @p262 :rule refl :args (@t1155)) % 0.40/1.00 (step @p263 :rule cong :premises (@p262 @p261) :args (@t1156)) % 0.40/1.00 (step @p264 :rule refl :args (@t1157)) % 0.40/1.00 (step @p265 :rule cong :premises (@p264 @p263) :args (@t1158)) % 0.40/1.00 (step @p266 :rule refl :args (@t1160)) % 0.40/1.00 (step @p267 :rule cong :premises (@p266 @p265) :args (@t1161)) % 0.40/1.00 (step @p268 :rule cong :premises (@p232 @p267) :args (@t1162)) % 0.40/1.00 (step @p269 :rule refl :args (@t1164)) % 0.40/1.00 (step @p270 :rule cong :premises (@p269 @p268) :args (@t1165)) % 0.40/1.00 (step @p271 :rule cong :premises (@p270) :args ((not @t1165))) % 0.40/1.00 (step @p272 :rule bool-impl-true2 :args (@t854)) % 0.40/1.00 (step @p273 :rule refl :args (@t856)) % 0.40/1.00 (step @p274 :rule cong :premises (@p273 @p272) :args (@t1166)) % 0.40/1.00 (step @p275 :rule refl :args (@t857)) % 0.40/1.00 (step @p276 :rule cong :premises (@p275 @p274) :args (@t1167)) % 0.40/1.00 (step @p277 :rule refl :args (@t858)) % 0.40/1.00 (step @p278 :rule cong :premises (@p277 @p276) :args (@t1168)) % 0.40/1.00 (step @p279 :rule refl :args (@t859)) % 0.40/1.00 (step @p280 :rule cong :premises (@p279 @p278) :args (@t1169)) % 0.40/1.00 (step @p281 :rule refl :args (@t861)) % 0.40/1.00 (step @p282 :rule cong :premises (@p281 @p280) :args (@t1170)) % 0.40/1.00 (step @p283 :rule refl :args (@t864)) % 0.40/1.00 (step @p284 :rule cong :premises (@p283 @p282) :args (@t1171)) % 0.40/1.00 (step @p285 :rule cong :premises (@p273 @p284) :args (@t1172)) % 0.40/1.00 (step @p286 :rule cong :premises (@p273 @p285) :args (@t1173)) % 0.40/1.00 (step @p287 :rule cong :premises (@p283 @p286) :args (@t1174)) % 0.40/1.00 (step @p288 :rule refl :args (@t875)) % 0.40/1.00 (step @p289 :rule cong :premises (@p288 @p287) :args (@t1175)) % 0.40/1.00 (step @p290 :rule refl :args (@t890)) % 0.40/1.00 (step @p291 :rule cong :premises (@p290 @p289) :args (@t1176)) % 0.40/1.00 (step @p292 :rule refl :args (@t899)) % 0.40/1.00 (step @p293 :rule cong :premises (@p292 @p291) :args (@t1177)) % 0.40/1.00 (step @p294 :rule bool-impl-true2 :args (@t1177)) % 0.40/1.00 (step @p295 :rule trans :premises (@p294 @p293)) % 0.40/1.00 (step @p296 :rule bool-impl-true2 :args (@t1177)) % 0.40/1.00 (step @p297 :rule refl :args (true)) % 0.40/1.00 (step @p298 :rule cong :premises (@p297 @p296) :args (@t1178)) % 0.40/1.00 (step @p299 :rule trans :premises (@p298 @p295)) % 0.40/1.00 (step @p300 :rule cong :premises (@p297 @p296) :args (@t1178)) % 0.40/1.00 (step @p301 :rule cong :premises (@p297 @p300) :args (@t1179)) % 0.40/1.00 (step @p302 :rule trans :premises (@p301 @p299)) % 0.40/1.00 (step @p303 :rule cong :premises (@p297 @p300) :args (@t1179)) % 0.40/1.00 (step @p304 :rule cong :premises (@p297 @p303) :args (@t1180)) % 0.40/1.00 (step @p305 :rule trans :premises (@p304 @p302)) % 0.40/1.00 (step @p306 :rule cong :premises (@p297 @p303) :args (@t1180)) % 0.40/1.00 (step @p307 :rule cong :premises (@p297 @p306) :args (@t1181)) % 0.40/1.00 (step @p308 :rule trans :premises (@p307 @p305)) % 0.40/1.00 (step @p309 :rule refl :args (@t911)) % 0.40/1.00 (step @p310 :rule cong :premises (@p309 @p308) :args (@t1182)) % 0.40/1.00 (step @p311 :rule cong :premises (@p292 @p310) :args (@t1183)) % 0.40/1.00 (step @p312 :rule bool-impl-true2 :args (@t1183)) % 0.40/1.00 (step @p313 :rule trans :premises (@p312 @p311)) % 0.40/1.00 (step @p314 :rule bool-impl-true2 :args (@t1183)) % 0.40/1.00 (step @p315 :rule cong :premises (@p297 @p314) :args (@t1184)) % 0.40/1.00 (step @p316 :rule trans :premises (@p315 @p313)) % 0.40/1.00 (step @p317 :rule refl :args (@t914)) % 0.40/1.00 (step @p318 :rule cong :premises (@p317 @p316) :args (@t1185)) % 0.40/1.00 (step @p319 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@t2138 @t2148)) % 0.40/1.01 (step @p4603 :rule false_intro :premises (@p4602)) % 0.40/1.01 (step @p4604 :rule refl :args (@t2131)) % 0.40/1.01 (step @p4605 :rule not_implies_elim1 :premises (@p4512)) % 0.40/1.01 (step @p4606 :rule eq-symm :args (@t2143 @t2132)) % 0.40/1.01 (step @p4607 :rule refl :args (@t2146)) % 0.40/1.01 (step @p4608 :rule nary_cong :premises (@p4607 @p4606) :args (@t2149)) % 0.40/1.01 (step @p4609 :rule cong :premises (@p171 @p4608) :args ((=> @t958 @t2149))) % 0.40/1.01 (assume-push @p4639 @t958) % 0.40/1.01 (step @p4611 :rule instantiate :premises (@p4605) :args ((@list @t2143 @t2132))) % 0.40/1.01 (step-pop @p4640 :rule scope :premises (@p4611)) % 0.40/1.01 (step @p4612 :rule process_scope :premises (@p4640) :args (@t2149)) % 0.40/1.01 (step @p4614 :rule eq_resolve :premises (@p4612 @p4609)) % 0.40/1.01 (step @p4615 :rule implies_elim :premises (@p4614)) % 0.40/1.01 (step @p4616 :rule chain_m_resolution :premises (@p4615 @p4605) :args (@t2151 (@list false) (@list @t958))) % 0.40/1.01 (step @p4617 :rule bool-double-not-elim :args (@t2145)) % 0.40/1.01 (step @p4618 :rule refl :args (@t2147)) % 0.40/1.01 (step @p4619 :rule nary_cong :premises (@p4618 @p4617) :args ((or @t2147 (not @t2146)))) % 0.40/1.01 (step @p4620 :rule cnf_or_neg :args (@t2147 0)) % 0.40/1.01 (step @p4621 :rule eq_resolve :premises (@p4620 @p4619)) % 0.40/1.01 (step @p4622 :rule reordering :premises (@p4621) :args ((or @t2145 @t2147))) % 0.40/1.01 (step @p4623 :rule chain_m_resolution :premises (@p4622 @p4600) :args (@t2145 @t2138 @t2148)) % 0.40/1.01 (step @p4624 :rule cnf_or_pos :args (@t2151)) % 0.40/1.01 (step @p4625 :rule reordering :premises (@p4624) :args ((or @t2146 @t2150 (not @t2151)))) % 0.40/1.01 (step @p4626 :rule chain_m_resolution :premises (@p4625 @p4623 @p4616) :args (@t2150 (@list false false) (@list @t2145 @t2151))) % 0.40/1.01 (step @p4627 :rule cong :premises (@p4626 @p4604) :args (@t2135)) % 0.40/1.01 (step @p4628 :rule bool-double-not-elim :args (@t2135)) % 0.40/1.01 (step @p4629 :rule refl :args (@t2137)) % 0.40/1.01 (step @p4630 :rule nary_cong :premises (@p4629 @p4628) :args ((or @t2137 (not @t2136)))) % 0.40/1.01 (step @p4631 :rule cnf_or_neg :args (@t2137 0)) % 0.40/1.01 (step @p4632 :rule eq_resolve :premises (@p4631 @p4630)) % 0.40/1.01 (step @p4633 :rule reordering :premises (@p4632) :args ((or @t2135 @t2137))) % 0.40/1.01 (step @p4634 :rule chain_m_resolution :premises (@p4633 @p4594) :args (@t2135 @t2138 @t2139)) % 0.40/1.01 (step @p4635 :rule true_intro :premises (@p4634)) % 0.40/1.01 (step @p4636 :rule symm :premises (@p4635)) % 0.40/1.01 (step @p4637 :rule trans :premises (@p4636 @p4627 @p4603)) % 0.40/1.01 (step @p4638 false :rule eq_resolve :premises (@p4637 @p145)) % 0.40/1.01 ) % 0.40/1.01 % SZS output end Proof % 0.40/1.01 % cvc5 exiting %------------------------------------------------------------------------------