%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU623^1 : 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 : n016.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 08:52:28 AM UTC 2026 % Result : Theorem 0.41s 1.01s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU623^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:44:09 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.56 %----Proving TH0 % 0.41/1.01 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/1.01 % SZS status Theorem % 0.41/1.01 % SZS output start Proof % 0.41/1.01 ( % 0.41/1.01 (declare-sort $$unsorted 0) % 0.41/1.01 (declare-const tptp.emptyset $$unsorted) % 0.41/1.01 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.41/1.01 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.41/1.01 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.41/1.01 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.41/1.01 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.41/1.01 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.41/1.01 (declare-const tptp.singletoninpowerset Bool) % 0.41/1.01 (declare-const tptp.singletonsubset Bool) % 0.41/1.01 (declare-const tptp.kpairp Bool) % 0.41/1.01 (declare-const tptp.secondinupair Bool) % 0.41/1.01 (declare-const tptp.symdiffIneg2 Bool) % 0.41/1.01 (declare-const tptp.symdiffI2 Bool) % 0.41/1.01 (declare-const tptp.symdiffI1 Bool) % 0.41/1.01 (declare-const tptp.setminusIRneg Bool) % 0.41/1.01 (declare-const tptp.setminusILneg Bool) % 0.41/1.01 (declare-const tptp.setminusERneg Bool) % 0.41/1.01 (declare-const tptp.quantDeMorgan1 Bool) % 0.41/1.01 (declare-const tptp.sepSubset Bool) % 0.41/1.01 (declare-const tptp.emptyE1 Bool) % 0.41/1.01 (declare-const tptp.inPowerset Bool) % 0.41/1.01 (declare-const tptp.upairsetIR Bool) % 0.41/1.01 (declare-const tptp.setunion__Cong Bool) % 0.41/1.01 (declare-const tptp.powersetE1 Bool) % 0.41/1.01 (declare-const tptp.singletonsswitch Bool) % 0.41/1.01 (declare-const tptp.subset2powerset Bool) % 0.41/1.01 (declare-const tptp.notinsingleton Bool) % 0.41/1.01 (declare-const tptp.subPowSU Bool) % 0.41/1.01 (declare-const tptp.binintersectSubset5 Bool) % 0.41/1.01 (declare-const tptp.exuE1 Bool) % 0.41/1.01 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.41/1.01 (declare-const tptp.setunionI Bool) % 0.41/1.01 (declare-const tptp.notdexE Bool) % 0.41/1.01 (declare-const tptp.powersetE Bool) % 0.41/1.01 (declare-const tptp.omegaSAx Bool) % 0.41/1.01 (declare-const tptp.setadjoinE Bool) % 0.41/1.01 (declare-const tptp.emptyinunitempty Bool) % 0.41/1.01 (declare-const tptp.setminusEL Bool) % 0.41/1.01 (declare-const tptp.descr__Cong Bool) % 0.41/1.01 (declare-const tptp.nonemptyI1 Bool) % 0.41/1.01 (declare-const tptp.emptysetAx Bool) % 0.41/1.01 (declare-const tptp.nonemptyI Bool) % 0.41/1.01 (declare-const tptp.upairsetIL Bool) % 0.41/1.01 (declare-const tptp.powersetI1 Bool) % 0.41/1.01 (declare-const tptp.eqinunit Bool) % 0.41/1.01 (declare-const tptp.upairsetE Bool) % 0.41/1.01 (declare-const tptp.replAx Bool) % 0.41/1.01 (declare-const tptp.powersetI Bool) % 0.41/1.01 (declare-const tptp.setukpairIR Bool) % 0.41/1.01 (declare-const tptp.quantDeMorgan4 Bool) % 0.41/1.01 (declare-const tptp.setunionE Bool) % 0.41/1.01 (declare-const tptp.omegaIndAx Bool) % 0.41/1.01 (declare-const tptp.setunionAx Bool) % 0.41/1.01 (declare-const tptp.setoftrueEq Bool) % 0.41/1.01 (declare-const tptp.foundationAx Bool) % 0.41/1.01 (declare-const tptp.emptysetimpfalse Bool) % 0.41/1.01 (declare-const tptp.setminusELneg Bool) % 0.41/1.01 (declare-const tptp.powersetAx Bool) % 0.41/1.01 (declare-const tptp.subsetemptysetimpeq Bool) % 0.41/1.01 (declare-const tptp.setminusER Bool) % 0.41/1.01 (declare-const tptp.setadjoinAx Bool) % 0.41/1.01 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 0.41/1.01 (declare-const tptp.omega $$unsorted) % 0.41/1.01 (declare-const tptp.emptyInPowerset Bool) % 0.41/1.01 (declare-const tptp.eqimpsubset1 Bool) % 0.41/1.01 (declare-const tptp.binunionE Bool) % 0.41/1.01 (declare-const tptp.dsetconstrER Bool) % 0.41/1.01 (declare-const tptp.notdallE Bool) % 0.41/1.01 (declare-const tptp.binunionRsub Bool) % 0.41/1.01 (declare-const tptp.exuE2 Bool) % 0.41/1.01 (declare-const tptp.setminusSubset2 Bool) % 0.41/1.01 (declare-const tptp.dsetconstr__Cong Bool) % 0.41/1.01 (declare-const tptp.setadjoinIR Bool) % 0.41/1.01 (declare-const tptp.notinemptyset Bool) % 0.41/1.01 (declare-const tptp.subsetRefl Bool) % 0.41/1.01 (declare-const tptp.uniqinunit Bool) % 0.41/1.01 (declare-const tptp.exuE3u Bool) % 0.41/1.01 (declare-const tptp.subsetTrans Bool) % 0.41/1.01 (declare-const tptp.wellorderingAx Bool) % 0.41/1.01 (declare-const tptp.setukpairIL Bool) % 0.41/1.01 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.41/1.01 (declare-const tptp.vacuousDall Bool) % 0.41/1.01 (declare-const tptp.sepInPowerset Bool) % 0.41/1.01 (declare-const tptp.nonemptyImpWitness Bool) % 0.41/1.01 (declare-const tptp.binintersectLsub Bool) % 0.41/1.01 (declare-const tptp.setadjoinOr Bool) % 0.41/1.01 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.41/1.01 (declare-const tptp.upairset2IR Bool) % 0.41/1.01 (declare-const tptp.dsetconstrI Bool) % 0.41/1.01 (declare-const tptp.setminusSubset1 Bool) % 0.41/1.01 (declare-const tptp.emptyinPowerset Bool) % 0.41/1.01 (declare-const tptp.kpairiskpair Bool) % 0.41/1.01 (declare-const tptp.prop2setI Bool) % 0.41/1.01 (declare-const tptp.dsetconstrEL Bool) % 0.41/1.01 (declare-const tptp.prop2set2propI Bool) % 0.41/1.01 (declare-const tptp.binunionLsub Bool) % 0.41/1.01 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.41/1.01 (declare-const tptp.exuI2 Bool) % 0.41/1.01 (declare-const tptp.prop2setE Bool) % 0.41/1.01 (declare-const tptp.exuEu Bool) % 0.41/1.01 (declare-const tptp.setadjoinIL Bool) % 0.41/1.01 (declare-const tptp.omega__Cong Bool) % 0.41/1.01 (declare-const tptp.setminusI Bool) % 0.41/1.01 (declare-const tptp.emptysetE Bool) % 0.41/1.01 (declare-const tptp.symdiffIneg1 Bool) % 0.41/1.01 (declare-const tptp.notequalI1 Bool) % 0.41/1.01 (declare-const tptp.emptyI Bool) % 0.41/1.01 (declare-const tptp.quantDeMorgan2 Bool) % 0.41/1.01 (declare-const tptp.noeltsimpempty Bool) % 0.41/1.01 (declare-const tptp.subsetI1 Bool) % 0.41/1.01 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.41/1.01 (declare-const tptp.subsetE Bool) % 0.41/1.01 (declare-const tptp.exuI3 Bool) % 0.41/1.01 (declare-const tptp.subsetE2 Bool) % 0.41/1.01 (declare-const tptp.inCongP Bool) % 0.41/1.01 (declare-const tptp.in__Cong Bool) % 0.41/1.01 (declare-const tptp.exu__Cong Bool) % 0.41/1.01 (declare-const tptp.exuE3e Bool) % 0.41/1.01 (declare-const tptp.binintersectSubset3 Bool) % 0.41/1.01 (declare-const tptp.setadjoin__Cong Bool) % 0.41/1.01 (declare-const tptp.emptyset__Cong Bool) % 0.41/1.01 (declare-const tptp.binintersectRsub Bool) % 0.41/1.01 (declare-const tptp.nonemptyE1 Bool) % 0.41/1.01 (declare-const tptp.setextAx Bool) % 0.41/1.01 (declare-const tptp.powerset__Cong Bool) % 0.41/1.01 (declare-const tptp.bs114d Bool) % 0.41/1.01 (declare-const tptp.setminusLsub Bool) % 0.41/1.01 (declare-const tptp.eqimpsubset2 Bool) % 0.41/1.01 (declare-const tptp.symdiffE Bool) % 0.41/1.01 (declare-const tptp.omega0Ax Bool) % 0.41/1.01 (declare-const tptp.subsetI2 Bool) % 0.41/1.01 (declare-const tptp.emptysetsubset Bool) % 0.41/1.01 (declare-const tptp.notsubsetI Bool) % 0.41/1.01 (declare-const tptp.notequalI2 Bool) % 0.41/1.01 (declare-const tptp.setadjoinSub Bool) % 0.41/1.01 (declare-const tptp.setadjoinSub2 Bool) % 0.41/1.01 (declare-const tptp.disjointsetsI1 Bool) % 0.41/1.01 (declare-const tptp.setextsub Bool) % 0.41/1.01 (declare-const tptp.setbeta Bool) % 0.41/1.01 (declare-const tptp.binintersectSubset4 Bool) % 0.41/1.01 (declare-const tptp.powersetsubset Bool) % 0.41/1.01 (declare-const tptp.binunionIL Bool) % 0.41/1.01 (declare-const tptp.binunionIR Bool) % 0.41/1.01 (declare-const tptp.descrp Bool) % 0.41/1.01 (declare-const tptp.quantDeMorgan3 Bool) % 0.41/1.01 (declare-const tptp.binunionEcases Bool) % 0.41/1.01 (declare-const tptp.exuI1 Bool) % 0.41/1.01 (declare-const tptp.binintersectI Bool) % 0.41/1.01 (declare-const tptp.binintersectEL Bool) % 0.41/1.01 (declare-const tptp.binintersectSubset2 Bool) % 0.41/1.01 (declare-const tptp.setext Bool) % 0.41/1.01 (declare-const tptp.binintersectER Bool) % 0.41/1.01 (declare-const tptp.binintersectSubset1 Bool) % 0.41/1.01 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.41/1.01 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.41/1.01 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.41/1.01 (define tptp.iskpair () (let ((_let_1 (@var "Xy" $$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)))))))))))))) % 0.41/1.01 (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))))))) % 0.41/1.01 (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" $$unsorted))) (lambda (@list _let_5 _let_4) (_ (_ tptp.dsetconstr (_ tptp.powerset (_ tptp.powerset (_ (_ tptp.binunion _let_5) _let_4)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_5) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_4) (= _let_3 (_ (_ tptp.kpair _let_2) _let_1))))))))))))))) % 0.41/1.01 (define @t1 () (@var "B" $$unsorted)) % 0.41/1.01 (define @t2 () (@var "A" $$unsorted)) % 0.41/1.01 (define @t3 () (= @t2 @t1)) % 0.41/1.01 (define @t4 () (@var "Xx" $$unsorted)) % 0.41/1.01 (define @t5 () (_ tptp.in @t4)) % 0.41/1.01 (define @t6 () (_ @t5 @t1)) % 0.41/1.01 (define @t7 () (_ @t5 @t2)) % 0.41/1.01 (define @t8 () (= @t7 @t6)) % 0.41/1.01 (define @t9 () (@list @t4)) % 0.41/1.01 (define @t10 () (forall @t9 @t8)) % 0.41/1.01 (define @t11 () (=> @t10 @t3)) % 0.41/1.01 (define @t12 () (@list @t2 @t1)) % 0.41/1.01 (define @t13 () (forall @t12 @t11)) % 0.41/1.01 (define @t14 () (= tptp.setextAx @t13)) % 0.41/1.01 (define @t15 () (_ @t5 tptp.emptyset)) % 0.41/1.01 (define @t16 () (not @t15)) % 0.41/1.01 (define @t17 () (forall @t9 @t16)) % 0.41/1.01 (define @t18 () (= tptp.emptysetAx @t17)) % 0.41/1.01 (define @t19 () (@var "Xy" $$unsorted)) % 0.41/1.01 (define @t20 () (_ tptp.in @t19)) % 0.41/1.01 (define @t21 () (_ @t20 @t2)) % 0.41/1.01 (define @t22 () (= @t19 @t4)) % 0.41/1.01 (define @t23 () (or @t22 @t21)) % 0.41/1.01 (define @t24 () (_ tptp.setadjoin @t4)) % 0.41/1.01 (define @t25 () (_ @t24 @t2)) % 0.41/1.01 (define @t26 () (_ @t20 @t25)) % 0.41/1.01 (define @t27 () (= @t26 @t23)) % 0.41/1.01 (define @t28 () (@list @t4 @t2 @t19)) % 0.41/1.01 (define @t29 () (forall @t28 @t27)) % 0.41/1.01 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.41/1.01 (define @t31 () (=> @t6 @t7)) % 0.41/1.01 (define @t32 () (forall @t9 @t31)) % 0.41/1.01 (define @t33 () (_ tptp.powerset @t2)) % 0.41/1.01 (define @t34 () (_ tptp.in @t1)) % 0.41/1.01 (define @t35 () (_ @t34 @t33)) % 0.41/1.01 (define @t36 () (= @t35 @t32)) % 0.41/1.01 (define @t37 () (forall @t12 @t36)) % 0.41/1.01 (define @t38 () (= tptp.powersetAx @t37)) % 0.41/1.01 (define @t39 () (_ @t34 @t2)) % 0.41/1.01 (define @t40 () (and @t6 @t39)) % 0.41/1.01 (define @t41 () (@list @t1)) % 0.41/1.01 (define @t42 () (exists @t41 @t40)) % 0.41/1.01 (define @t43 () (_ tptp.setunion @t2)) % 0.41/1.01 (define @t44 () (_ @t5 @t43)) % 0.41/1.01 (define @t45 () (= @t44 @t42)) % 0.41/1.01 (define @t46 () (@list @t2 @t4)) % 0.41/1.01 (define @t47 () (forall @t46 @t45)) % 0.41/1.01 (define @t48 () (= tptp.setunionAx @t47)) % 0.41/1.01 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.41/1.01 (define @t50 () (_ @t49 tptp.omega)) % 0.41/1.01 (define @t51 () (_ @t24 @t4)) % 0.41/1.01 (define @t52 () (_ tptp.in @t51)) % 0.41/1.01 (define @t53 () (_ @t52 tptp.omega)) % 0.41/1.01 (define @t54 () (_ @t5 tptp.omega)) % 0.41/1.01 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.41/1.01 (define @t56 () (= tptp.omegaSAx @t55)) % 0.41/1.01 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.41/1.01 (define @t58 () (_ @t52 @t2)) % 0.41/1.01 (define @t59 () (and @t54 @t7)) % 0.41/1.01 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.41/1.01 (define @t61 () (_ @t49 @t2)) % 0.41/1.01 (define @t62 () (and @t61 @t60)) % 0.41/1.01 (define @t63 () (=> @t62 @t57)) % 0.41/1.01 (define @t64 () (@list @t2)) % 0.41/1.01 (define @t65 () (forall @t64 @t63)) % 0.41/1.01 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.41/1.01 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.41/1.01 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.41/1.01 (define @t69 () (and @t21 @t68)) % 0.41/1.01 (define @t70 () (@list @t19)) % 0.41/1.01 (define @t71 () (exists @t70 @t69)) % 0.41/1.01 (define @t72 () (= @t6 @t71)) % 0.41/1.01 (define @t73 () (forall @t9 @t72)) % 0.41/1.01 (define @t74 () (exists @t41 @t73)) % 0.41/1.01 (define @t75 () (_ @t67 @t4)) % 0.41/1.01 (define @t76 () (_ @t75 @t19)) % 0.41/1.01 (define @t77 () (lambda @t70 @t76)) % 0.41/1.01 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.41/1.01 (define @t79 () (forall @t9 @t78)) % 0.41/1.01 (define @t80 () (=> @t79 @t74)) % 0.41/1.01 (define @t81 () (@list @t67 @t2)) % 0.41/1.01 (define @t82 () (forall @t81 @t80)) % 0.41/1.01 (define @t83 () (= tptp.replAx @t82)) % 0.41/1.01 (define @t84 () (and @t6 @t7)) % 0.41/1.01 (define @t85 () (exists @t9 @t84)) % 0.41/1.01 (define @t86 () (not @t85)) % 0.41/1.01 (define @t87 () (and @t39 @t86)) % 0.41/1.01 (define @t88 () (exists @t41 @t87)) % 0.41/1.01 (define @t89 () (exists @t9 @t7)) % 0.41/1.01 (define @t90 () (=> @t89 @t88)) % 0.41/1.01 (define @t91 () (forall @t64 @t90)) % 0.41/1.01 (define @t92 () (= tptp.foundationAx @t91)) % 0.41/1.01 (define @t93 () (@var "E" $$unsorted)) % 0.41/1.01 (define @t94 () (_ @t5 @t93)) % 0.41/1.01 (define @t95 () (@var "D" $$unsorted)) % 0.41/1.01 (define @t96 () (_ @t20 @t95)) % 0.41/1.01 (define @t97 () (_ @t20 @t93)) % 0.41/1.01 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.41/1.01 (define @t99 () (or @t98 @t94)) % 0.41/1.01 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.41/1.01 (define @t101 () (=> @t100 @t99)) % 0.41/1.01 (define @t102 () (@list @t93)) % 0.41/1.01 (define @t103 () (forall @t102 @t101)) % 0.41/1.01 (define @t104 () (@var "C" $$unsorted)) % 0.41/1.01 (define @t105 () (_ @t20 @t104)) % 0.41/1.01 (define @t106 () (and @t96 @t105)) % 0.41/1.01 (define @t107 () (exists @t70 @t106)) % 0.41/1.01 (define @t108 () (not @t107)) % 0.41/1.01 (define @t109 () (_ @t5 @t104)) % 0.41/1.01 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.41/1.01 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.41/1.01 (define @t112 () (@list @t95 @t4)) % 0.41/1.01 (define @t113 () (exists @t112 @t111)) % 0.41/1.01 (define @t114 () (exists @t9 @t109)) % 0.41/1.01 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.41/1.01 (define @t116 () (and @t115 @t114)) % 0.41/1.01 (define @t117 () (=> @t116 @t113)) % 0.41/1.01 (define @t118 () (@list @t104)) % 0.41/1.01 (define @t119 () (forall @t118 @t117)) % 0.41/1.01 (define @t120 () (_ @t5 @t95)) % 0.41/1.01 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.41/1.01 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.41/1.01 (define @t123 () (or @t122 @t121)) % 0.41/1.01 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.41/1.01 (define @t125 () (and @t124 @t110)) % 0.41/1.01 (define @t126 () (=> @t125 @t123)) % 0.41/1.01 (define @t127 () (@list @t104 @t95)) % 0.41/1.01 (define @t128 () (forall @t127 @t126)) % 0.41/1.01 (define @t129 () (= @t4 @t19)) % 0.41/1.01 (define @t130 () (= @t109 @t105)) % 0.41/1.01 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.41/1.01 (define @t132 () (=> @t131 @t129)) % 0.41/1.01 (define @t133 () (and @t7 @t21)) % 0.41/1.01 (define @t134 () (=> @t133 @t132)) % 0.41/1.01 (define @t135 () (@list @t4 @t19)) % 0.41/1.01 (define @t136 () (forall @t135 @t134)) % 0.41/1.01 (define @t137 () (=> @t124 @t115)) % 0.41/1.01 (define @t138 () (forall @t118 @t137)) % 0.41/1.01 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.41/1.01 (define @t140 () (exists @t41 @t139)) % 0.41/1.01 (define @t141 () (forall @t64 @t140)) % 0.41/1.01 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.41/1.01 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.41/1.01 (define @t144 () (_ @t143 @t4)) % 0.41/1.01 (define @t145 () (lambda @t9 @t144)) % 0.41/1.01 (define @t146 () (_ tptp.descr @t145)) % 0.41/1.01 (define @t147 () (_ @t143 @t146)) % 0.41/1.01 (define @t148 () (_ tptp.exu @t145)) % 0.41/1.01 (define @t149 () (=> @t148 @t147)) % 0.41/1.01 (define @t150 () (@list @t143)) % 0.41/1.01 (define @t151 () (forall @t150 @t149)) % 0.41/1.01 (define @t152 () (= tptp.descrp @t151)) % 0.41/1.01 (define @t153 () (_ @t143 @t19)) % 0.41/1.01 (define @t154 () (lambda @t70 @t153)) % 0.41/1.01 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.41/1.01 (define @t156 () (_ @t155 @t154)) % 0.41/1.01 (define @t157 () (_ @t5 @t156)) % 0.41/1.01 (define @t158 () (=> @t144 @t157)) % 0.41/1.01 (define @t159 () (@list @t2 @t143 @t4)) % 0.41/1.01 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.41/1.01 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.41/1.01 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.41/1.01 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.41/1.01 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.41/1.01 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.41/1.01 (define @t166 () (=> @t153 @t129)) % 0.41/1.01 (define @t167 () (forall @t70 @t166)) % 0.41/1.01 (define @t168 () (and @t144 @t167)) % 0.41/1.01 (define @t169 () (exists @t9 @t168)) % 0.41/1.01 (define @t170 () (=> @t148 @t169)) % 0.41/1.01 (define @t171 () (forall @t150 @t170)) % 0.41/1.01 (define @t172 () (= tptp.exuE1 @t171)) % 0.41/1.01 (define @t173 () (@var "Xphi" Bool)) % 0.41/1.01 (define @t174 () (_ tptp.prop2set @t173)) % 0.41/1.01 (define @t175 () (_ @t5 @t174)) % 0.41/1.01 (define @t176 () (@list @t173 @t4)) % 0.41/1.01 (define @t177 () (forall @t176 (=> @t175 @t173))) % 0.41/1.01 (define @t178 () (= tptp.prop2setE @t177)) % 0.41/1.01 (define @t179 () (@list @t173)) % 0.41/1.01 (define @t180 () (forall @t179 @t173)) % 0.41/1.01 (define @t181 () (=> @t15 @t180)) % 0.41/1.01 (define @t182 () (forall @t9 @t181)) % 0.41/1.01 (define @t183 () (= tptp.emptysetE @t182)) % 0.41/1.01 (define @t184 () (forall @t9 (=> @t15 false))) % 0.41/1.01 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 0.41/1.01 (define @t186 () (exists @t9 @t144)) % 0.41/1.01 (define @t187 () (=> @t148 @t186)) % 0.41/1.01 (define @t188 () (forall @t150 @t187)) % 0.41/1.01 (define @t189 () (= tptp.exuE3e @t188)) % 0.41/1.01 (define @t190 () (=> @t32 @t3)) % 0.41/1.01 (define @t191 () (=> @t7 @t6)) % 0.41/1.01 (define @t192 () (forall @t9 @t191)) % 0.41/1.01 (define @t193 () (=> @t192 @t190)) % 0.41/1.01 (define @t194 () (forall @t12 @t193)) % 0.41/1.01 (define @t195 () (= tptp.setext @t194)) % 0.41/1.01 (define @t196 () (= @t2 tptp.emptyset)) % 0.41/1.01 (define @t197 () (not @t7)) % 0.41/1.01 (define @t198 () (forall @t9 @t197)) % 0.41/1.01 (define @t199 () (=> @t198 @t196)) % 0.41/1.01 (define @t200 () (forall @t64 @t199)) % 0.41/1.01 (define @t201 () (= tptp.emptyI @t200)) % 0.41/1.01 (define @t202 () (=> @t7 (= @t157 @t144))) % 0.41/1.01 (define @t203 () (forall @t159 @t202)) % 0.41/1.01 (define @t204 () (= tptp.setbeta @t203)) % 0.41/1.01 (define @t205 () (_ tptp.nonempty @t2)) % 0.41/1.01 (define @t206 () (=> @t205 @t89)) % 0.41/1.01 (define @t207 () (forall @t64 @t206)) % 0.41/1.01 (define @t208 () (= tptp.nonemptyE1 @t207)) % 0.41/1.01 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 0.41/1.01 (define @t210 () (=> @t7 @t209)) % 0.41/1.01 (define @t211 () (forall @t159 @t210)) % 0.41/1.01 (define @t212 () (= tptp.nonemptyI @t211)) % 0.41/1.01 (define @t213 () (=> @t89 @t205)) % 0.41/1.01 (define @t214 () (forall @t64 @t213)) % 0.41/1.01 (define @t215 () (= tptp.nonemptyI1 @t214)) % 0.41/1.01 (define @t216 () (_ @t24 @t19)) % 0.41/1.01 (define @t217 () (_ @t5 @t216)) % 0.41/1.01 (define @t218 () (forall @t135 @t217)) % 0.41/1.01 (define @t219 () (= tptp.setadjoinIL @t218)) % 0.41/1.01 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.41/1.01 (define @t221 () (_ @t49 @t220)) % 0.41/1.01 (define @t222 () (forall @t28 (=> @t21 @t26))) % 0.41/1.01 (define @t223 () (= tptp.setadjoinIR @t222)) % 0.41/1.01 (define @t224 () (=> @t21 @t173)) % 0.41/1.01 (define @t225 () (=> @t224 @t173)) % 0.41/1.01 (define @t226 () (=> @t22 @t173)) % 0.41/1.01 (define @t227 () (=> @t226 @t225)) % 0.41/1.01 (define @t228 () (forall @t179 @t227)) % 0.41/1.01 (define @t229 () (=> @t26 @t228)) % 0.41/1.01 (define @t230 () (forall @t28 @t229)) % 0.41/1.01 (define @t231 () (= tptp.setadjoinE @t230)) % 0.41/1.01 (define @t232 () (=> @t26 @t23)) % 0.41/1.01 (define @t233 () (forall @t28 @t232)) % 0.41/1.01 (define @t234 () (= tptp.setadjoinOr @t233)) % 0.41/1.01 (define @t235 () (lambda @t9 true)) % 0.41/1.01 (define @t236 () (= (_ @t155 @t235) @t2)) % 0.41/1.01 (define @t237 () (forall @t64 @t236)) % 0.41/1.01 (define @t238 () (= tptp.setoftrueEq @t237)) % 0.41/1.01 (define @t239 () (=> @t32 @t35)) % 0.41/1.01 (define @t240 () (forall @t12 @t239)) % 0.41/1.01 (define @t241 () (= tptp.powersetI @t240)) % 0.41/1.01 (define @t242 () (_ @t49 @t33)) % 0.41/1.01 (define @t243 () (forall @t64 @t242)) % 0.41/1.01 (define @t244 () (= tptp.emptyinPowerset @t243)) % 0.41/1.01 (define @t245 () (@list @t2 @t1 @t4)) % 0.41/1.01 (define @t246 () (forall @t245 (=> @t35 @t31))) % 0.41/1.01 (define @t247 () (= tptp.powersetE @t246)) % 0.41/1.01 (define @t248 () (=> @t39 @t44)) % 0.41/1.01 (define @t249 () (@list @t2 @t4 @t1)) % 0.41/1.01 (define @t250 () (forall @t249 (=> @t6 @t248))) % 0.41/1.01 (define @t251 () (= tptp.setunionI @t250)) % 0.41/1.01 (define @t252 () (=> @t39 @t173)) % 0.41/1.01 (define @t253 () (forall @t41 (=> @t6 @t252))) % 0.41/1.01 (define @t254 () (=> @t253 @t173)) % 0.41/1.01 (define @t255 () (forall @t179 @t254)) % 0.41/1.01 (define @t256 () (=> @t44 @t255)) % 0.41/1.01 (define @t257 () (forall @t46 @t256)) % 0.41/1.01 (define @t258 () (= tptp.setunionE @t257)) % 0.41/1.01 (define @t259 () (_ tptp.powerset @t43)) % 0.41/1.01 (define @t260 () (_ @t5 @t259)) % 0.41/1.01 (define @t261 () (forall @t46 (=> @t7 @t260))) % 0.41/1.01 (define @t262 () (= tptp.subPowSU @t261)) % 0.41/1.01 (define @t263 () (= @t153 @t22)) % 0.41/1.01 (define @t264 () (forall @t70 @t263)) % 0.41/1.01 (define @t265 () (exists @t9 @t264)) % 0.41/1.01 (define @t266 () (=> @t148 @t265)) % 0.41/1.01 (define @t267 () (forall @t150 @t266)) % 0.41/1.01 (define @t268 () (= tptp.exuE2 @t267)) % 0.41/1.01 (define @t269 () (and @t7 true)) % 0.41/1.01 (define @t270 () (exists @t9 @t269)) % 0.41/1.01 (define @t271 () (=> @t205 @t270)) % 0.41/1.01 (define @t272 () (forall @t64 @t271)) % 0.41/1.01 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 0.41/1.01 (define @t274 () (_ tptp.setadjoin @t19)) % 0.41/1.01 (define @t275 () (_ @t274 tptp.emptyset)) % 0.41/1.01 (define @t276 () (_ @t5 @t275)) % 0.41/1.01 (define @t277 () (forall @t135 (=> @t276 @t129))) % 0.41/1.01 (define @t278 () (= tptp.uniqinunit @t277)) % 0.41/1.01 (define @t279 () (_ @t24 tptp.emptyset)) % 0.41/1.01 (define @t280 () (_ @t20 @t279)) % 0.41/1.01 (define @t281 () (not @t280)) % 0.41/1.01 (define @t282 () (not @t129)) % 0.41/1.01 (define @t283 () (forall @t135 (=> @t282 @t281))) % 0.41/1.01 (define @t284 () (= tptp.notinsingleton @t283)) % 0.41/1.01 (define @t285 () (forall @t135 (=> @t129 @t276))) % 0.41/1.01 (define @t286 () (= tptp.eqinunit @t285)) % 0.41/1.01 (define @t287 () (forall @t135 (=> @t276 @t280))) % 0.41/1.01 (define @t288 () (= tptp.singletonsswitch @t287)) % 0.41/1.01 (define @t289 () (@var "Xz" $$unsorted)) % 0.41/1.01 (define @t290 () (or (= @t289 @t4) (= @t289 @t19))) % 0.41/1.01 (define @t291 () (_ @t24 @t275)) % 0.41/1.01 (define @t292 () (_ tptp.in @t289)) % 0.41/1.01 (define @t293 () (_ @t292 @t291)) % 0.41/1.01 (define @t294 () (=> @t293 @t290)) % 0.41/1.01 (define @t295 () (@list @t4 @t19 @t289)) % 0.41/1.01 (define @t296 () (forall @t295 @t294)) % 0.41/1.01 (define @t297 () (= tptp.upairsetE @t296)) % 0.41/1.01 (define @t298 () (_ @t5 @t291)) % 0.41/1.01 (define @t299 () (forall @t135 @t298)) % 0.41/1.01 (define @t300 () (= tptp.upairsetIL @t299)) % 0.41/1.01 (define @t301 () (_ @t20 @t291)) % 0.41/1.01 (define @t302 () (forall @t135 @t301)) % 0.41/1.01 (define @t303 () (= tptp.upairsetIR @t302)) % 0.41/1.01 (define @t304 () (_ @t155 @t145)) % 0.41/1.01 (define @t305 () (= @t304 tptp.emptyset)) % 0.41/1.01 (define @t306 () (and @t7 @t144)) % 0.41/1.01 (define @t307 () (exists @t9 @t306)) % 0.41/1.01 (define @t308 () (=> @t307 (=> @t305 false))) % 0.41/1.01 (define @t309 () (@list @t2 @t143)) % 0.41/1.01 (define @t310 () (forall @t309 @t308)) % 0.41/1.01 (define @t311 () (= tptp.emptyE1 @t310)) % 0.41/1.01 (define @t312 () (@list @t143 @t4)) % 0.41/1.01 (define @t313 () (forall @t312 (=> @t15 @t144))) % 0.41/1.01 (define @t314 () (= tptp.vacuousDall @t313)) % 0.41/1.01 (define @t315 () (not @t144)) % 0.41/1.01 (define @t316 () (and @t7 @t315)) % 0.41/1.01 (define @t317 () (exists @t9 @t316)) % 0.41/1.01 (define @t318 () (forall @t9 (=> @t7 @t144))) % 0.41/1.01 (define @t319 () (not @t318)) % 0.41/1.01 (define @t320 () (=> @t319 @t317)) % 0.41/1.01 (define @t321 () (forall @t309 @t320)) % 0.41/1.01 (define @t322 () (= tptp.quantDeMorgan1 @t321)) % 0.41/1.01 (define @t323 () (not @t307)) % 0.41/1.01 (define @t324 () (forall @t9 (=> @t7 @t315))) % 0.41/1.01 (define @t325 () (=> @t324 @t323)) % 0.41/1.01 (define @t326 () (forall @t309 @t325)) % 0.41/1.01 (define @t327 () (= tptp.quantDeMorgan2 @t326)) % 0.41/1.01 (define @t328 () (=> @t323 @t324)) % 0.41/1.01 (define @t329 () (forall @t309 @t328)) % 0.41/1.01 (define @t330 () (= tptp.quantDeMorgan3 @t329)) % 0.41/1.01 (define @t331 () (=> @t317 @t319)) % 0.41/1.01 (define @t332 () (forall @t309 @t331)) % 0.41/1.01 (define @t333 () (= tptp.quantDeMorgan4 @t332)) % 0.41/1.01 (define @t334 () (_ @t49 @t174)) % 0.41/1.01 (define @t335 () (forall @t179 (=> @t173 @t334))) % 0.41/1.01 (define @t336 () (= tptp.prop2setI @t335)) % 0.41/1.01 (define @t337 () (_ tptp.set2prop @t174)) % 0.41/1.01 (define @t338 () (forall @t179 (=> @t173 @t337))) % 0.41/1.01 (define @t339 () (= tptp.prop2set2propI @t338)) % 0.41/1.01 (define @t340 () (=> @t169 @t148)) % 0.41/1.01 (define @t341 () (forall @t150 @t340)) % 0.41/1.01 (define @t342 () (= tptp.exuI1 @t341)) % 0.41/1.01 (define @t343 () (forall @t135 (=> @t144 @t166))) % 0.41/1.01 (define @t344 () (=> @t343 @t148)) % 0.41/1.01 (define @t345 () (=> @t186 @t344)) % 0.41/1.01 (define @t346 () (forall @t150 @t345)) % 0.41/1.01 (define @t347 () (= tptp.exuI3 @t346)) % 0.41/1.01 (define @t348 () (=> @t265 @t148)) % 0.41/1.01 (define @t349 () (forall @t150 @t348)) % 0.41/1.01 (define @t350 () (= tptp.exuI2 @t349)) % 0.41/1.01 (define @t351 () (_ @t20 @t1)) % 0.41/1.01 (define @t352 () (=> @t7 @t351)) % 0.41/1.01 (define @t353 () (forall @t135 (=> @t129 @t352))) % 0.41/1.01 (define @t354 () (=> @t3 @t353)) % 0.41/1.01 (define @t355 () (forall @t12 @t354)) % 0.41/1.01 (define @t356 () (= tptp.inCongP @t355)) % 0.41/1.01 (define @t357 () (= @t7 @t351)) % 0.41/1.01 (define @t358 () (forall @t135 (=> @t129 @t357))) % 0.41/1.01 (define @t359 () (=> @t3 @t358)) % 0.41/1.01 (define @t360 () (forall @t12 @t359)) % 0.41/1.01 (define @t361 () (= tptp.in__Cong @t360)) % 0.41/1.01 (define @t362 () (=> @t148 @t343)) % 0.41/1.01 (define @t363 () (forall @t150 @t362)) % 0.41/1.01 (define @t364 () (= tptp.exuE3u @t363)) % 0.41/1.01 (define @t365 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.41/1.01 (define @t366 () (_ @t365 @t4)) % 0.41/1.01 (define @t367 () (lambda @t9 @t366)) % 0.41/1.01 (define @t368 () (_ tptp.exu @t367)) % 0.41/1.01 (define @t369 () (= @t148 @t368)) % 0.41/1.01 (define @t370 () (_ @t365 @t19)) % 0.41/1.01 (define @t371 () (= @t144 @t370)) % 0.41/1.01 (define @t372 () (=> @t129 @t371)) % 0.41/1.01 (define @t373 () (forall @t135 @t372)) % 0.41/1.01 (define @t374 () (=> @t373 @t369)) % 0.41/1.01 (define @t375 () (@list @t143 @t365)) % 0.41/1.01 (define @t376 () (forall @t375 @t374)) % 0.41/1.01 (define @t377 () (= tptp.exu__Cong @t376)) % 0.41/1.01 (define @t378 () (= tptp.emptyset tptp.emptyset)) % 0.41/1.01 (define @t379 () (= tptp.emptyset__Cong @t378)) % 0.41/1.01 (define @t380 () (@var "Xu" $$unsorted)) % 0.41/1.01 (define @t381 () (_ @t274 @t380)) % 0.41/1.01 (define @t382 () (_ @t24 @t289)) % 0.41/1.01 (define @t383 () (= @t382 @t381)) % 0.41/1.01 (define @t384 () (= @t289 @t380)) % 0.41/1.01 (define @t385 () (@list @t289 @t380)) % 0.41/1.01 (define @t386 () (forall @t385 (=> @t384 @t383))) % 0.41/1.01 (define @t387 () (=> @t129 @t386)) % 0.41/1.01 (define @t388 () (forall @t135 @t387)) % 0.41/1.01 (define @t389 () (= tptp.setadjoin__Cong @t388)) % 0.41/1.01 (define @t390 () (_ tptp.powerset @t1)) % 0.41/1.01 (define @t391 () (= @t33 @t390)) % 0.41/1.01 (define @t392 () (forall @t12 (=> @t3 @t391))) % 0.41/1.01 (define @t393 () (= tptp.powerset__Cong @t392)) % 0.41/1.01 (define @t394 () (_ tptp.setunion @t1)) % 0.41/1.01 (define @t395 () (= @t43 @t394)) % 0.41/1.01 (define @t396 () (forall @t12 (=> @t3 @t395))) % 0.41/1.01 (define @t397 () (= tptp.setunion__Cong @t396)) % 0.41/1.01 (define @t398 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.41/1.01 (define @t399 () (= tptp.exuEu @t363)) % 0.41/1.01 (define @t400 () (_ tptp.descr @t367)) % 0.41/1.01 (define @t401 () (= @t146 @t400)) % 0.41/1.01 (define @t402 () (=> @t368 @t401)) % 0.41/1.01 (define @t403 () (=> @t148 @t402)) % 0.41/1.01 (define @t404 () (=> @t373 @t403)) % 0.41/1.01 (define @t405 () (forall @t375 @t404)) % 0.41/1.01 (define @t406 () (= tptp.descr__Cong @t405)) % 0.41/1.01 (define @t407 () (_ tptp.dsetconstr @t1)) % 0.41/1.01 (define @t408 () (_ @t407 @t367)) % 0.41/1.01 (define @t409 () (= @t304 @t408)) % 0.41/1.01 (define @t410 () (forall @t70 (=> @t351 @t372))) % 0.41/1.01 (define @t411 () (=> @t7 @t410)) % 0.41/1.01 (define @t412 () (forall @t9 @t411)) % 0.41/1.01 (define @t413 () (=> @t412 @t409)) % 0.41/1.01 (define @t414 () (forall @t375 @t413)) % 0.41/1.01 (define @t415 () (=> @t3 @t414)) % 0.41/1.01 (define @t416 () (forall @t12 @t415)) % 0.41/1.01 (define @t417 () (= tptp.dsetconstr__Cong @t416)) % 0.41/1.01 (define @t418 () (_ tptp.subset @t2)) % 0.41/1.01 (define @t419 () (_ @t418 @t1)) % 0.41/1.01 (define @t420 () (=> @t192 @t419)) % 0.41/1.01 (define @t421 () (forall @t12 @t420)) % 0.41/1.01 (define @t422 () (= tptp.subsetI1 @t421)) % 0.41/1.01 (define @t423 () (_ tptp.subset @t1)) % 0.41/1.01 (define @t424 () (_ @t423 @t2)) % 0.41/1.01 (define @t425 () (forall @t12 (=> @t3 @t424))) % 0.41/1.01 (define @t426 () (= tptp.eqimpsubset2 @t425)) % 0.41/1.01 (define @t427 () (forall @t12 (=> @t3 @t419))) % 0.41/1.01 (define @t428 () (= tptp.eqimpsubset1 @t427)) % 0.41/1.01 (define @t429 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 0.41/1.01 (define @t430 () (forall @t64 @t429)) % 0.41/1.01 (define @t431 () (= tptp.emptysetsubset @t430)) % 0.41/1.01 (define @t432 () (forall @t245 (=> @t419 @t191))) % 0.41/1.01 (define @t433 () (= tptp.subsetE @t432)) % 0.41/1.01 (define @t434 () (not @t6)) % 0.41/1.01 (define @t435 () (=> @t434 @t197)) % 0.41/1.01 (define @t436 () (forall @t245 (=> @t419 @t435))) % 0.41/1.01 (define @t437 () (= tptp.subsetE2 @t436)) % 0.41/1.01 (define @t438 () (not @t419)) % 0.41/1.01 (define @t439 () (=> @t434 @t438)) % 0.41/1.01 (define @t440 () (forall @t245 (=> @t7 @t439))) % 0.41/1.01 (define @t441 () (= tptp.notsubsetI @t440)) % 0.41/1.01 (define @t442 () (not @t3)) % 0.41/1.01 (define @t443 () (forall @t12 (=> @t438 @t442))) % 0.41/1.01 (define @t444 () (= tptp.notequalI1 @t443)) % 0.41/1.01 (define @t445 () (=> @t434 @t442)) % 0.41/1.01 (define @t446 () (forall @t245 (=> @t7 @t445))) % 0.41/1.01 (define @t447 () (= tptp.notequalI2 @t446)) % 0.41/1.01 (define @t448 () (_ @t418 @t2)) % 0.41/1.01 (define @t449 () (forall @t64 @t448)) % 0.41/1.01 (define @t450 () (= tptp.subsetRefl @t449)) % 0.41/1.01 (define @t451 () (_ @t418 @t104)) % 0.41/1.01 (define @t452 () (_ @t423 @t104)) % 0.41/1.01 (define @t453 () (=> @t452 @t451)) % 0.41/1.01 (define @t454 () (@list @t2 @t1 @t104)) % 0.41/1.01 (define @t455 () (forall @t454 (=> @t419 @t453))) % 0.41/1.01 (define @t456 () (= tptp.subsetTrans @t455)) % 0.41/1.01 (define @t457 () (_ @t418 @t25)) % 0.41/1.01 (define @t458 () (@list @t4 @t2)) % 0.41/1.01 (define @t459 () (forall @t458 @t457)) % 0.41/1.01 (define @t460 () (= tptp.setadjoinSub @t459)) % 0.41/1.01 (define @t461 () (_ @t24 @t1)) % 0.41/1.01 (define @t462 () (_ @t418 @t461)) % 0.41/1.01 (define @t463 () (forall @t249 (=> @t419 @t462))) % 0.41/1.01 (define @t464 () (= tptp.setadjoinSub2 @t463)) % 0.41/1.01 (define @t465 () (_ tptp.in @t2)) % 0.41/1.01 (define @t466 () (_ @t465 @t390)) % 0.41/1.01 (define @t467 () (forall @t12 (=> @t419 @t466))) % 0.41/1.01 (define @t468 () (= tptp.subset2powerset @t467)) % 0.41/1.01 (define @t469 () (=> @t424 @t3)) % 0.41/1.01 (define @t470 () (forall @t12 (=> @t419 @t469))) % 0.41/1.01 (define @t471 () (= tptp.setextsub @t470)) % 0.41/1.01 (define @t472 () (_ @t418 tptp.emptyset)) % 0.41/1.01 (define @t473 () (forall @t64 (=> @t472 @t196))) % 0.41/1.01 (define @t474 () (= tptp.subsetemptysetimpeq @t473)) % 0.41/1.01 (define @t475 () (forall @t12 (=> @t424 @t35))) % 0.41/1.01 (define @t476 () (= tptp.powersetI1 @t475)) % 0.41/1.01 (define @t477 () (forall @t12 (=> @t35 @t424))) % 0.41/1.01 (define @t478 () (= tptp.powersetE1 @t477)) % 0.41/1.01 (define @t479 () (_ @t465 @t33)) % 0.41/1.01 (define @t480 () (forall @t64 @t479)) % 0.41/1.01 (define @t481 () (= tptp.inPowerset @t480)) % 0.41/1.01 (define @t482 () (_ (_ tptp.subset @t33) @t390)) % 0.41/1.01 (define @t483 () (forall @t12 (=> @t419 @t482))) % 0.41/1.01 (define @t484 () (= tptp.powersetsubset @t483)) % 0.41/1.01 (define @t485 () (_ (_ tptp.in @t304) @t33)) % 0.41/1.01 (define @t486 () (forall @t309 @t485)) % 0.41/1.01 (define @t487 () (= tptp.sepInPowerset @t486)) % 0.41/1.01 (define @t488 () (_ (_ tptp.subset @t304) @t2)) % 0.41/1.01 (define @t489 () (forall @t309 @t488)) % 0.41/1.01 (define @t490 () (= tptp.sepSubset @t489)) % 0.41/1.01 (define @t491 () (_ (_ tptp.binunion @t2) @t1)) % 0.41/1.01 (define @t492 () (_ @t5 @t491)) % 0.41/1.01 (define @t493 () (forall @t245 (=> @t7 @t492))) % 0.41/1.01 (define @t494 () (= tptp.binunionIL @t493)) % 0.41/1.01 (define @t495 () (forall @t245 (=> @t6 @t492))) % 0.41/1.01 (define @t496 () (= tptp.binunionIR @t495)) % 0.41/1.01 (define @t497 () (=> @t6 @t173)) % 0.41/1.01 (define @t498 () (=> @t497 @t173)) % 0.41/1.01 (define @t499 () (=> @t7 @t173)) % 0.41/1.01 (define @t500 () (=> @t499 @t498)) % 0.41/1.01 (define @t501 () (@list @t2 @t1 @t4 @t173)) % 0.41/1.01 (define @t502 () (forall @t501 (=> @t492 @t500))) % 0.41/1.01 (define @t503 () (= tptp.binunionEcases @t502)) % 0.41/1.01 (define @t504 () (or @t7 @t6)) % 0.41/1.01 (define @t505 () (forall @t245 (=> @t492 @t504))) % 0.41/1.01 (define @t506 () (= tptp.binunionE @t505)) % 0.41/1.01 (define @t507 () (_ @t418 @t491)) % 0.41/1.01 (define @t508 () (forall @t12 @t507)) % 0.41/1.01 (define @t509 () (= tptp.binunionLsub @t508)) % 0.41/1.01 (define @t510 () (_ @t423 @t491)) % 0.41/1.01 (define @t511 () (forall @t12 @t510)) % 0.41/1.01 (define @t512 () (= tptp.binunionRsub @t511)) % 0.41/1.01 (define @t513 () (_ tptp.binintersect @t2)) % 0.41/1.01 (define @t514 () (_ @t513 @t1)) % 0.41/1.01 (define @t515 () (_ @t5 @t514)) % 0.41/1.01 (define @t516 () (=> @t6 @t515)) % 0.41/1.01 (define @t517 () (forall @t245 (=> @t7 @t516))) % 0.41/1.01 (define @t518 () (= tptp.binintersectI @t517)) % 0.41/1.01 (define @t519 () (_ tptp.subset @t104)) % 0.41/1.01 (define @t520 () (_ @t519 @t514)) % 0.41/1.01 (define @t521 () (_ @t519 @t1)) % 0.41/1.01 (define @t522 () (=> @t521 @t520)) % 0.41/1.01 (define @t523 () (_ @t519 @t2)) % 0.41/1.01 (define @t524 () (forall @t454 (=> @t523 @t522))) % 0.41/1.01 (define @t525 () (= tptp.binintersectSubset5 @t524)) % 0.41/1.01 (define @t526 () (forall @t245 (=> @t515 @t7))) % 0.41/1.01 (define @t527 () (= tptp.binintersectEL @t526)) % 0.41/1.01 (define @t528 () (_ tptp.subset @t514)) % 0.41/1.01 (define @t529 () (_ @t528 @t2)) % 0.41/1.01 (define @t530 () (forall @t12 @t529)) % 0.41/1.01 (define @t531 () (= tptp.binintersectLsub @t530)) % 0.41/1.01 (define @t532 () (= @t514 @t2)) % 0.41/1.01 (define @t533 () (=> @t419 @t532)) % 0.41/1.01 (define @t534 () (forall @t12 @t533)) % 0.41/1.01 (define @t535 () (= tptp.binintersectSubset2 @t534)) % 0.41/1.01 (define @t536 () (= @t514 @t1)) % 0.41/1.01 (define @t537 () (=> @t536 @t424)) % 0.41/1.01 (define @t538 () (forall @t12 @t537)) % 0.41/1.01 (define @t539 () (= tptp.binintersectSubset3 @t538)) % 0.41/1.01 (define @t540 () (forall @t245 (=> @t515 @t6))) % 0.41/1.01 (define @t541 () (= tptp.binintersectER @t540)) % 0.41/1.01 (define @t542 () (and @t7 @t6)) % 0.41/1.01 (define @t543 () (exists @t9 @t542)) % 0.41/1.01 (define @t544 () (not @t543)) % 0.41/1.01 (define @t545 () (=> @t544 (= @t514 tptp.emptyset))) % 0.41/1.01 (define @t546 () (forall @t12 @t545)) % 0.41/1.01 (define @t547 () (= tptp.disjointsetsI1 @t546)) % 0.41/1.01 (define @t548 () (_ @t528 @t1)) % 0.41/1.01 (define @t549 () (forall @t12 @t548)) % 0.41/1.01 (define @t550 () (= tptp.binintersectRsub @t549)) % 0.41/1.01 (define @t551 () (=> @t424 @t536)) % 0.41/1.01 (define @t552 () (forall @t12 @t551)) % 0.41/1.01 (define @t553 () (= tptp.binintersectSubset4 @t552)) % 0.41/1.01 (define @t554 () (=> @t532 @t419)) % 0.41/1.01 (define @t555 () (forall @t12 @t554)) % 0.41/1.01 (define @t556 () (= tptp.binintersectSubset1 @t555)) % 0.41/1.01 (define @t557 () (_ @t513 @t104)) % 0.41/1.01 (define @t558 () (_ (_ tptp.binunion @t514) @t557)) % 0.41/1.01 (define @t559 () (_ (_ tptp.binunion @t1) @t104)) % 0.41/1.01 (define @t560 () (_ @t513 @t559)) % 0.41/1.01 (define @t561 () (= @t560 @t558)) % 0.41/1.01 (define @t562 () (forall @t454 @t561)) % 0.41/1.01 (define @t563 () (= tptp.bs114d @t562)) % 0.41/1.01 (define @t564 () (_ (_ tptp.setminus @t2) @t1)) % 0.41/1.01 (define @t565 () (_ @t5 @t564)) % 0.41/1.01 (define @t566 () (=> @t434 @t565)) % 0.41/1.01 (define @t567 () (forall @t245 (=> @t7 @t566))) % 0.41/1.01 (define @t568 () (= tptp.setminusI @t567)) % 0.41/1.01 (define @t569 () (forall @t245 (=> @t565 @t7))) % 0.41/1.01 (define @t570 () (= tptp.setminusEL @t569)) % 0.41/1.01 (define @t571 () (forall @t245 (=> @t565 @t434))) % 0.41/1.01 (define @t572 () (= tptp.setminusER @t571)) % 0.41/1.01 (define @t573 () (= @t564 tptp.emptyset)) % 0.41/1.01 (define @t574 () (=> @t419 @t573)) % 0.41/1.01 (define @t575 () (forall @t12 @t574)) % 0.41/1.01 (define @t576 () (= tptp.setminusSubset2 @t575)) % 0.41/1.01 (define @t577 () (not @t565)) % 0.41/1.01 (define @t578 () (forall @t245 (=> @t577 @t191))) % 0.41/1.01 (define @t579 () (= tptp.setminusERneg @t578)) % 0.41/1.01 (define @t580 () (forall @t245 (=> @t577 @t435))) % 0.41/1.01 (define @t581 () (= tptp.setminusELneg @t580)) % 0.41/1.01 (define @t582 () (forall @t245 (=> @t197 @t577))) % 0.41/1.01 (define @t583 () (= tptp.setminusILneg @t582)) % 0.41/1.01 (define @t584 () (forall @t245 (=> @t6 @t577))) % 0.41/1.01 (define @t585 () (= tptp.setminusIRneg @t584)) % 0.41/1.01 (define @t586 () (_ (_ tptp.subset @t564) @t2)) % 0.41/1.01 (define @t587 () (forall @t12 @t586)) % 0.41/1.01 (define @t588 () (= tptp.setminusLsub @t587)) % 0.41/1.01 (define @t589 () (=> @t573 @t419)) % 0.41/1.01 (define @t590 () (forall @t12 @t589)) % 0.41/1.01 (define @t591 () (= tptp.setminusSubset1 @t590)) % 0.41/1.01 (define @t592 () (=> @t197 @t497)) % 0.41/1.01 (define @t593 () (=> @t592 @t173)) % 0.41/1.01 (define @t594 () (=> @t434 @t173)) % 0.41/1.01 (define @t595 () (=> @t7 @t594)) % 0.41/1.01 (define @t596 () (forall @t179 (=> @t595 @t593))) % 0.41/1.01 (define @t597 () (_ (_ tptp.symdiff @t2) @t1)) % 0.41/1.01 (define @t598 () (_ @t5 @t597)) % 0.41/1.01 (define @t599 () (=> @t598 @t596)) % 0.41/1.01 (define @t600 () (forall @t245 @t599)) % 0.41/1.01 (define @t601 () (= tptp.symdiffE @t600)) % 0.41/1.01 (define @t602 () (=> @t434 @t598)) % 0.41/1.01 (define @t603 () (forall @t245 (=> @t7 @t602))) % 0.41/1.01 (define @t604 () (= tptp.symdiffI1 @t603)) % 0.41/1.01 (define @t605 () (=> @t6 @t598)) % 0.41/1.01 (define @t606 () (forall @t245 (=> @t197 @t605))) % 0.41/1.01 (define @t607 () (= tptp.symdiffI2 @t606)) % 0.41/1.01 (define @t608 () (not @t598)) % 0.41/1.01 (define @t609 () (=> @t6 @t608)) % 0.41/1.01 (define @t610 () (forall @t245 (=> @t7 @t609))) % 0.41/1.01 (define @t611 () (= tptp.symdiffIneg1 @t610)) % 0.41/1.01 (define @t612 () (=> @t434 @t608)) % 0.41/1.01 (define @t613 () (forall @t245 (=> @t197 @t612))) % 0.41/1.01 (define @t614 () (= tptp.symdiffIneg2 @t613)) % 0.41/1.01 (define @t615 () (_ (_ tptp.setadjoin @t291) tptp.emptyset)) % 0.41/1.01 (define @t616 () (_ (_ tptp.setadjoin @t279) @t615)) % 0.41/1.01 (define @t617 () (_ tptp.setunion @t616)) % 0.41/1.01 (define @t618 () (_ @t5 @t617)) % 0.41/1.01 (define @t619 () (forall @t135 @t618)) % 0.41/1.01 (define @t620 () (= tptp.setukpairIL @t619)) % 0.41/1.01 (define @t621 () (_ @t20 @t617)) % 0.41/1.01 (define @t622 () (forall @t135 @t621)) % 0.41/1.01 (define @t623 () (= tptp.setukpairIR @t622)) % 0.41/1.01 (define @t624 () (forall @t135 (_ tptp.iskpair @t616))) % 0.41/1.01 (define @t625 () (= tptp.kpairiskpair @t624)) % 0.41/1.01 (define @t626 () (forall @t135 (_ tptp.iskpair (_ (_ tptp.kpair @t4) @t19)))) % 0.41/1.01 (define @t627 () (= tptp.kpairp @t626)) % 0.41/1.01 (define @t628 () (_ (_ tptp.subset @t279) @t2)) % 0.41/1.01 (define @t629 () (forall @t46 (=> @t7 @t628))) % 0.41/1.01 (define @t630 () (= tptp.singletonsubset @t629)) % 0.41/1.01 (define @t631 () (_ tptp.in @t279)) % 0.41/1.01 (define @t632 () (_ @t631 @t33)) % 0.41/1.01 (define @t633 () (forall @t46 (=> @t7 @t632))) % 0.41/1.01 (define @t634 () (= tptp.singletoninpowerset @t633)) % 0.41/1.01 (define @t635 () (_ tptp.powerset @t491)) % 0.41/1.01 (define @t636 () (_ @t631 @t635)) % 0.41/1.01 (define @t637 () (forall @t245 (=> @t7 @t636))) % 0.41/1.01 (define @t638 () (=> tptp.singletoninpowerset @t637)) % 0.41/1.01 (define @t639 () (=> tptp.singletonsubset @t638)) % 0.41/1.01 (define @t640 () (=> tptp.kpairp @t639)) % 0.41/1.01 (define @t641 () (=> tptp.kpairiskpair @t640)) % 0.41/1.01 (define @t642 () (=> tptp.setukpairIR @t641)) % 0.41/1.01 (define @t643 () (=> tptp.setukpairIL @t642)) % 0.41/1.01 (define @t644 () (=> tptp.secondinupair @t643)) % 0.41/1.01 (define @t645 () (=> tptp.symdiffIneg2 @t644)) % 0.41/1.01 (define @t646 () (=> tptp.symdiffIneg1 @t645)) % 0.41/1.01 (define @t647 () (=> tptp.symdiffI2 @t646)) % 0.41/1.01 (define @t648 () (=> tptp.symdiffI1 @t647)) % 0.41/1.01 (define @t649 () (=> tptp.symdiffE @t648)) % 0.41/1.01 (define @t650 () (=> tptp.setminusSubset1 @t649)) % 0.41/1.01 (define @t651 () (=> tptp.setminusLsub @t650)) % 0.41/1.01 (define @t652 () (=> tptp.setminusIRneg @t651)) % 0.41/1.01 (define @t653 () (=> tptp.setminusILneg @t652)) % 0.41/1.01 (define @t654 () (=> tptp.setminusELneg @t653)) % 0.41/1.01 (define @t655 () (=> tptp.setminusERneg @t654)) % 0.41/1.01 (define @t656 () (=> tptp.setminusSubset2 @t655)) % 0.41/1.01 (define @t657 () (=> tptp.setminusER @t656)) % 0.41/1.01 (define @t658 () (=> tptp.setminusEL @t657)) % 0.41/1.01 (define @t659 () (=> tptp.setminusI @t658)) % 0.41/1.01 (define @t660 () (=> tptp.bs114d @t659)) % 0.41/1.01 (define @t661 () (=> tptp.binintersectSubset1 @t660)) % 0.41/1.01 (define @t662 () (=> tptp.binintersectSubset4 @t661)) % 0.41/1.01 (define @t663 () (=> tptp.binintersectRsub @t662)) % 0.41/1.01 (define @t664 () (=> tptp.disjointsetsI1 @t663)) % 0.41/1.01 (define @t665 () (=> tptp.binintersectER @t664)) % 0.41/1.01 (define @t666 () (=> tptp.binintersectSubset3 @t665)) % 0.41/1.01 (define @t667 () (=> tptp.binintersectSubset2 @t666)) % 0.41/1.01 (define @t668 () (=> tptp.binintersectLsub @t667)) % 0.41/1.01 (define @t669 () (=> tptp.binintersectEL @t668)) % 0.41/1.01 (define @t670 () (=> tptp.binintersectSubset5 @t669)) % 0.41/1.01 (define @t671 () (=> tptp.binintersectI @t670)) % 0.41/1.01 (define @t672 () (=> tptp.binunionRsub @t671)) % 0.41/1.01 (define @t673 () (=> tptp.binunionLsub @t672)) % 0.41/1.01 (define @t674 () (=> tptp.binunionE @t673)) % 0.41/1.01 (define @t675 () (=> tptp.binunionEcases @t674)) % 0.41/1.01 (define @t676 () (=> tptp.binunionIR @t675)) % 0.41/1.01 (define @t677 () (=> tptp.upairset2IR @t676)) % 0.41/1.01 (define @t678 () (=> tptp.binunionIL @t677)) % 0.41/1.01 (define @t679 () (=> tptp.sepSubset @t678)) % 0.41/1.01 (define @t680 () (=> tptp.sepInPowerset @t679)) % 0.41/1.01 (define @t681 () (=> tptp.powersetsubset @t680)) % 0.41/1.01 (define @t682 () (=> tptp.inPowerset @t681)) % 0.41/1.01 (define @t683 () (=> tptp.powersetE1 @t682)) % 0.41/1.01 (define @t684 () (=> tptp.powersetI1 @t683)) % 0.41/1.01 (define @t685 () (=> tptp.subsetemptysetimpeq @t684)) % 0.41/1.01 (define @t686 () (=> tptp.setextsub @t685)) % 0.41/1.01 (define @t687 () (=> tptp.subset2powerset @t686)) % 0.41/1.01 (define @t688 () (=> tptp.setadjoinSub2 @t687)) % 0.41/1.01 (define @t689 () (=> tptp.setadjoinSub @t688)) % 0.41/1.01 (define @t690 () (=> tptp.subsetTrans @t689)) % 0.41/1.01 (define @t691 () (=> tptp.subsetRefl @t690)) % 0.41/1.01 (define @t692 () (=> tptp.notequalI2 @t691)) % 0.41/1.01 (define @t693 () (=> tptp.notequalI1 @t692)) % 0.41/1.01 (define @t694 () (=> tptp.notsubsetI @t693)) % 0.41/1.01 (define @t695 () (=> tptp.subsetE2 @t694)) % 0.41/1.01 (define @t696 () (=> tptp.subsetE @t695)) % 0.41/1.01 (define @t697 () (=> tptp.emptysetsubset @t696)) % 0.41/1.01 (define @t698 () (=> tptp.subsetI2 @t697)) % 0.41/1.01 (define @t699 () (=> tptp.eqimpsubset1 @t698)) % 0.41/1.01 (define @t700 () (=> tptp.eqimpsubset2 @t699)) % 0.41/1.01 (define @t701 () (=> tptp.subsetI1 @t700)) % 0.41/1.01 (define @t702 () (=> tptp.dsetconstr__Cong @t701)) % 0.41/1.01 (define @t703 () (=> tptp.descr__Cong @t702)) % 0.41/1.01 (define @t704 () (=> tptp.exuEu @t703)) % 0.41/1.01 (define @t705 () (=> tptp.omega__Cong @t704)) % 0.41/1.01 (define @t706 () (=> tptp.setunion__Cong @t705)) % 0.41/1.01 (define @t707 () (=> tptp.powerset__Cong @t706)) % 0.41/1.01 (define @t708 () (=> tptp.setadjoin__Cong @t707)) % 0.41/1.01 (define @t709 () (=> tptp.emptyset__Cong @t708)) % 0.41/1.01 (define @t710 () (=> tptp.exu__Cong @t709)) % 0.41/1.01 (define @t711 () (=> tptp.exuE3u @t710)) % 0.41/1.01 (define @t712 () (=> tptp.in__Cong @t711)) % 0.41/1.01 (define @t713 () (=> tptp.inCongP @t712)) % 0.41/1.01 (define @t714 () (=> tptp.exuI2 @t713)) % 0.41/1.01 (define @t715 () (=> tptp.exuI3 @t714)) % 0.41/1.01 (define @t716 () (=> tptp.exuI1 @t715)) % 0.41/1.01 (define @t717 () (=> tptp.notdallE @t716)) % 0.41/1.01 (define @t718 () (=> tptp.notdexE @t717)) % 0.41/1.01 (define @t719 () (=> tptp.prop2set2propI @t718)) % 0.41/1.01 (define @t720 () (=> tptp.prop2setI @t719)) % 0.41/1.01 (define @t721 () (=> tptp.quantDeMorgan4 @t720)) % 0.41/1.01 (define @t722 () (=> tptp.quantDeMorgan3 @t721)) % 0.41/1.01 (define @t723 () (=> tptp.quantDeMorgan2 @t722)) % 0.41/1.01 (define @t724 () (=> tptp.quantDeMorgan1 @t723)) % 0.41/1.01 (define @t725 () (=> tptp.vacuousDall @t724)) % 0.41/1.01 (define @t726 () (=> tptp.emptyE1 @t725)) % 0.41/1.01 (define @t727 () (=> tptp.upairsetIR @t726)) % 0.41/1.01 (define @t728 () (=> tptp.upairsetIL @t727)) % 0.41/1.01 (define @t729 () (=> tptp.upairsetE @t728)) % 0.41/1.01 (define @t730 () (=> tptp.singletonsswitch @t729)) % 0.41/1.01 (define @t731 () (=> tptp.eqinunit @t730)) % 0.41/1.01 (define @t732 () (=> tptp.notinsingleton @t731)) % 0.41/1.01 (define @t733 () (=> tptp.uniqinunit @t732)) % 0.41/1.01 (define @t734 () (=> tptp.nonemptyImpWitness @t733)) % 0.41/1.01 (define @t735 () (=> tptp.exuE2 @t734)) % 0.41/1.01 (define @t736 () (=> tptp.subPowSU @t735)) % 0.41/1.01 (define @t737 () (=> tptp.setunionE @t736)) % 0.41/1.01 (define @t738 () (=> tptp.setunionI @t737)) % 0.41/1.01 (define @t739 () (=> tptp.powersetE @t738)) % 0.41/1.01 (define @t740 () (=> tptp.emptyInPowerset @t739)) % 0.41/1.01 (define @t741 () (=> tptp.emptyinPowerset @t740)) % 0.41/1.01 (define @t742 () (=> tptp.powersetI @t741)) % 0.41/1.01 (define @t743 () (=> tptp.setoftrueEq @t742)) % 0.41/1.01 (define @t744 () (=> tptp.setadjoinOr @t743)) % 0.41/1.01 (define @t745 () (=> tptp.setadjoinE @t744)) % 0.41/1.01 (define @t746 () (=> tptp.setadjoinIR @t745)) % 0.41/1.01 (define @t747 () (=> tptp.emptyinunitempty @t746)) % 0.41/1.01 (define @t748 () (=> tptp.setadjoinIL @t747)) % 0.41/1.01 (define @t749 () (=> tptp.nonemptyI1 @t748)) % 0.41/1.01 (define @t750 () (=> tptp.nonemptyI @t749)) % 0.41/1.01 (define @t751 () (=> tptp.nonemptyE1 @t750)) % 0.41/1.01 (define @t752 () (=> tptp.setbeta @t751)) % 0.41/1.01 (define @t753 () (=> tptp.noeltsimpempty @t752)) % 0.41/1.01 (define @t754 () (=> tptp.emptyI @t753)) % 0.41/1.01 (define @t755 () (=> tptp.setext @t754)) % 0.41/1.01 (define @t756 () (=> tptp.exuE3e @t755)) % 0.41/1.01 (define @t757 () (=> tptp.notinemptyset @t756)) % 0.41/1.01 (define @t758 () (=> tptp.emptysetimpfalse @t757)) % 0.41/1.01 (define @t759 () (=> tptp.emptysetE @t758)) % 0.41/1.01 (define @t760 () (=> tptp.prop2setE @t759)) % 0.41/1.01 (define @t761 () (=> tptp.exuE1 @t760)) % 0.41/1.01 (define @t762 () (=> tptp.dsetconstrER @t761)) % 0.41/1.01 (define @t763 () (=> tptp.dsetconstrEL @t762)) % 0.41/1.01 (define @t764 () (=> tptp.dsetconstrI @t763)) % 0.41/1.01 (define @t765 () (=> tptp.descrp @t764)) % 0.41/1.01 (define @t766 () (=> tptp.wellorderingAx @t765)) % 0.41/1.01 (define @t767 () (=> tptp.foundationAx @t766)) % 0.41/1.01 (define @t768 () (=> tptp.replAx @t767)) % 0.41/1.01 (define @t769 () (=> tptp.omegaIndAx @t768)) % 0.41/1.01 (define @t770 () (=> tptp.omegaSAx @t769)) % 0.41/1.01 (define @t771 () (=> tptp.omega0Ax @t770)) % 0.41/1.01 (define @t772 () (=> tptp.setunionAx @t771)) % 0.41/1.01 (define @t773 () (=> tptp.powersetAx @t772)) % 0.41/1.01 (define @t774 () (=> tptp.setadjoinAx @t773)) % 0.41/1.01 (define @t775 () (=> tptp.emptysetAx @t774)) % 0.41/1.01 (define @t776 () (=> tptp.setextAx @t775)) % 0.41/1.01 (define @t777 () (not @t776)) % 0.41/1.01 (define @t778 () (lambda @t150 @t169)) % 0.41/1.01 (define @t779 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.41/1.01 (define @t780 () (= @t2 @t616)) % 0.41/1.01 (define @t781 () (_ @t20 @t43)) % 0.41/1.01 (define @t782 () (and @t781 @t780)) % 0.41/1.01 (define @t783 () (exists @t70 @t782)) % 0.41/1.01 (define @t784 () (and @t44 @t783)) % 0.41/1.01 (define @t785 () (exists @t9 @t784)) % 0.41/1.01 (define @t786 () (lambda @t64 @t785)) % 0.41/1.01 (define @t787 () (lambda @t135 @t616)) % 0.41/1.01 (define @t788 () (@list @t289)) % 0.41/1.01 (define @t789 () (lambda @t12 (_ (_ tptp.dsetconstr (_ tptp.powerset @t635)) (lambda @t9 (exists @t70 (and @t21 (exists @t788 (and (_ @t292 @t1) (= @t4 (_ (_ tptp.kpair @t19) @t289)))))))))) % 0.41/1.01 (define @t790 () (tptp.binunion @t2 @t1)) % 0.41/1.01 (define @t791 () (tptp.powerset @t790)) % 0.41/1.01 (define @t792 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.41/1.01 (define @t793 () (tptp.in @t792 @t791)) % 0.41/1.01 (define @t794 () (tptp.in @t4 @t2)) % 0.41/1.01 (define @t795 () (not @t794)) % 0.41/1.01 (define @t796 () (forall @t245 (or @t795 @t793))) % 0.41/1.01 (define @t797 () (tptp.powerset @t2)) % 0.41/1.01 (define @t798 () (tptp.in @t792 @t797)) % 0.41/1.01 (define @t799 () (tptp.subset @t792 @t2)) % 0.41/1.01 (define @t800 () (@var "BOUND_VARIABLE_8368" $$unsorted)) % 0.41/1.01 (define @t801 () (tptp.setadjoin @t800 tptp.emptyset)) % 0.41/1.01 (define @t802 () (@var "BOUND_VARIABLE_10589" $$unsorted)) % 0.41/1.01 (define @t803 () (tptp.setadjoin (tptp.setadjoin @t802 tptp.emptyset) (tptp.setadjoin (tptp.setadjoin @t802 @t801) tptp.emptyset))) % 0.41/1.01 (define @t804 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.41/1.01 (define @t805 () (tptp.setadjoin @t4 @t804)) % 0.41/1.01 (define @t806 () (tptp.setadjoin @t805 tptp.emptyset)) % 0.41/1.01 (define @t807 () (tptp.setadjoin @t792 @t806)) % 0.41/1.01 (define @t808 () (tptp.setunion @t807)) % 0.41/1.01 (define @t809 () (@list @t802 @t800)) % 0.41/1.01 (define @t810 () (forall @t135 (not (forall @t809 (or (not (tptp.in @t802 @t808)) (not (tptp.in @t800 @t808)) (not (= @t807 @t803))))))) % 0.41/1.01 (define @t811 () (tptp.in @t19 @t808)) % 0.41/1.01 (define @t812 () (tptp.in @t4 @t808)) % 0.41/1.01 (define @t813 () (tptp.in @t19 @t805)) % 0.41/1.01 (define @t814 () (forall @t135 @t813)) % 0.41/1.01 (define @t815 () (tptp.symdiff @t2 @t1)) % 0.41/1.01 (define @t816 () (tptp.in @t4 @t815)) % 0.41/1.01 (define @t817 () (not @t816)) % 0.41/1.01 (define @t818 () (tptp.in @t4 @t1)) % 0.41/1.01 (define @t819 () (not @t818)) % 0.41/1.01 (define @t820 () (and @t795 @t818)) % 0.41/1.01 (define @t821 () (and @t794 @t819)) % 0.41/1.01 (define @t822 () (tptp.subset @t2 @t1)) % 0.41/1.01 (define @t823 () (tptp.setminus @t2 @t1)) % 0.41/1.01 (define @t824 () (= tptp.emptyset @t823)) % 0.41/1.01 (define @t825 () (tptp.subset @t823 @t2)) % 0.41/1.01 (define @t826 () (tptp.in @t4 @t823)) % 0.41/1.01 (define @t827 () (not @t826)) % 0.41/1.01 (define @t828 () (not @t822)) % 0.41/1.01 (define @t829 () (tptp.binintersect @t2 @t104)) % 0.41/1.01 (define @t830 () (tptp.binintersect @t2 @t1)) % 0.41/1.01 (define @t831 () (tptp.binunion @t830 @t829)) % 0.41/1.01 (define @t832 () (tptp.binunion @t1 @t104)) % 0.41/1.01 (define @t833 () (tptp.binintersect @t2 @t832)) % 0.41/1.01 (define @t834 () (= @t2 @t830)) % 0.41/1.01 (define @t835 () (= @t1 @t830)) % 0.41/1.01 (define @t836 () (tptp.subset @t1 @t2)) % 0.41/1.01 (define @t837 () (not @t836)) % 0.41/1.01 (define @t838 () (tptp.subset @t830 @t1)) % 0.41/1.01 (define @t839 () (forall @t9 (or @t795 @t819))) % 0.41/1.01 (define @t840 () (not @t839)) % 0.41/1.01 (define @t841 () (tptp.in @t4 @t830)) % 0.41/1.01 (define @t842 () (not @t841)) % 0.41/1.01 (define @t843 () (tptp.subset @t830 @t2)) % 0.41/1.01 (define @t844 () (tptp.subset @t104 @t830)) % 0.41/1.01 (define @t845 () (tptp.subset @t104 @t1)) % 0.41/1.01 (define @t846 () (tptp.subset @t104 @t2)) % 0.41/1.01 (define @t847 () (tptp.subset @t1 @t790)) % 0.41/1.01 (define @t848 () (tptp.subset @t2 @t790)) % 0.41/1.01 (define @t849 () (tptp.in @t4 @t790)) % 0.41/1.01 (define @t850 () (not @t849)) % 0.41/1.01 (define @t851 () (forall @t245 (or @t850 @t794 @t818))) % 0.41/1.01 (define @t852 () (tptp.dsetconstr @t2 @t143)) % 0.41/1.01 (define @t853 () (tptp.powerset @t1)) % 0.41/1.01 (define @t854 () (tptp.subset @t797 @t853)) % 0.41/1.01 (define @t855 () (tptp.in @t2 @t797)) % 0.41/1.01 (define @t856 () (tptp.in @t1 @t797)) % 0.41/1.01 (define @t857 () (not @t856)) % 0.41/1.01 (define @t858 () (tptp.subset @t2 tptp.emptyset)) % 0.41/1.01 (define @t859 () (tptp.in @t2 @t853)) % 0.41/1.01 (define @t860 () (tptp.setadjoin @t4 @t1)) % 0.41/1.01 (define @t861 () (tptp.subset @t2 @t860)) % 0.41/1.01 (define @t862 () (tptp.setadjoin @t4 @t2)) % 0.41/1.01 (define @t863 () (tptp.subset @t2 @t862)) % 0.41/1.01 (define @t864 () (tptp.subset @t2 @t104)) % 0.41/1.01 (define @t865 () (tptp.subset @t1 @t104)) % 0.41/1.01 (define @t866 () (tptp.subset @t2 @t2)) % 0.41/1.01 (define @t867 () (=> (forall @t64 @t866) (=> (forall @t454 (or @t828 (not @t865) @t864)) (=> (forall @t458 @t863) (=> (forall @t249 (or @t828 @t861)) (=> (forall @t12 (or @t828 @t859)) (=> (forall @t12 (or @t828 @t837 @t3)) (=> (forall @t64 (or (not @t858) @t196)) (=> (forall @t12 (or @t837 @t856)) (=> (forall @t12 (or @t857 @t836)) (=> (forall @t64 @t855) (=> (forall @t12 (or @t828 @t854)) (=> (forall @t309 (tptp.in @t852 @t797)) (=> (forall @t309 (tptp.subset @t852 @t2)) (=> (forall @t245 (or @t795 @t849)) (=> @t814 (=> (forall @t245 (or @t819 @t849)) (=> @t851 (=> @t851 (=> (forall @t12 @t848) (=> (forall @t12 @t847) (=> (forall @t245 (or @t795 @t819 @t841)) (=> (forall @t454 (or (not @t846) (not @t845) @t844)) (=> (forall @t245 (or @t842 @t794)) (=> (forall @t12 @t843) (=> (forall @t12 (or @t828 @t834)) (=> (forall @t12 (or (not @t835) @t836)) (=> (forall @t245 (or @t842 @t818)) (=> (forall @t12 (or @t840 (= tptp.emptyset @t830))) (=> (forall @t12 @t838) (=> (forall @t12 (or @t837 @t835)) (=> (forall @t12 (or (not @t834) @t822)) (=> (forall @t454 (= @t833 @t831)) (=> (forall @t245 (or @t795 @t818 @t826)) (=> (forall @t245 (or @t827 @t794)) (=> (forall @t245 (or @t827 @t819)) (=> (forall @t12 (or @t828 @t824)) (=> (forall @t245 (or @t826 @t795 @t818)) (=> (forall @t245 (or @t826 @t818 @t795)) (=> (forall @t245 (or @t794 @t827)) (=> (forall @t245 (or @t819 @t827)) (=> (forall @t12 @t825) (=> (forall @t12 (or (not @t824) @t822)) (=> (forall @t245 (or @t817 @t821 @t820)) (=> (forall @t245 (or @t795 @t818 @t816)) (=> (forall @t245 (or @t794 @t819 @t816)) (=> (forall @t245 (or @t795 @t819 @t817)) (=> (forall @t245 (or @t794 @t818 @t817)) (=> @t814 (=> (forall @t135 @t812) (=> (forall @t135 @t811) (=> @t810 (=> @t810 (=> (forall @t46 (or @t795 @t799)) (=> (forall @t46 (or @t795 @t798)) @t796))))))))))))))))))))))))))))))))))))))))))))))))))))))) % 0.41/1.01 (define @t868 () (tptp.subset @t1 @t1)) % 0.41/1.01 (define @t869 () (forall @t41 @t868)) % 0.41/1.01 (define @t870 () (forall @t245 (or @t795 @t818 @t828))) % 0.41/1.01 (define @t871 () (forall @t245 (or @t828 @t818 @t795))) % 0.41/1.01 (define @t872 () (forall @t245 (or @t828 @t795 @t818))) % 0.41/1.01 (define @t873 () (tptp.subset tptp.emptyset @t2)) % 0.41/1.01 (define @t874 () (forall @t64 @t873)) % 0.41/1.01 (define @t875 () (forall @t9 (or @t795 @t818))) % 0.41/1.01 (define @t876 () (not @t875)) % 0.41/1.01 (define @t877 () (forall @t12 (or @t876 @t822))) % 0.41/1.01 (define @t878 () (@var "BOUND_VARIABLE_10043" (-> $$unsorted Bool))) % 0.41/1.01 (define @t879 () (tptp.dsetconstr @t1 @t878)) % 0.41/1.01 (define @t880 () (@var "BOUND_VARIABLE_10045" (-> $$unsorted Bool))) % 0.41/1.01 (define @t881 () (tptp.dsetconstr @t1 @t880)) % 0.41/1.01 (define @t882 () (= @t881 @t879)) % 0.41/1.01 (define @t883 () (= (_ @t878 @t4) (_ @t880 @t4))) % 0.41/1.01 (define @t884 () (or @t819 @t883)) % 0.41/1.01 (define @t885 () (not (forall @t9 @t884))) % 0.41/1.01 (define @t886 () (or @t885 @t882)) % 0.41/1.01 (define @t887 () (@list @t1 @t878 @t880)) % 0.41/1.01 (define @t888 () (forall @t887 @t886)) % 0.41/1.01 (define @t889 () (@var "BOUND_VARIABLE_9982" $$unsorted)) % 0.41/1.01 (define @t890 () (_ @t365 @t19)) % 0.41/1.01 (define @t891 () (not @t890)) % 0.41/1.01 (define @t892 () (not (_ @t365 @t889))) % 0.41/1.01 (define @t893 () (@var "BOUND_VARIABLE_9973" $$unsorted)) % 0.41/1.01 (define @t894 () (_ @t143 @t19)) % 0.41/1.01 (define @t895 () (not @t894)) % 0.41/1.01 (define @t896 () (not (_ @t143 @t893))) % 0.41/1.01 (define @t897 () (tptp.descr @t143)) % 0.41/1.01 (define @t898 () (= @t897 (tptp.descr @t365))) % 0.41/1.01 (define @t899 () (= @t894 @t890)) % 0.41/1.01 (define @t900 () (forall @t70 @t899)) % 0.41/1.01 (define @t901 () (not @t900)) % 0.41/1.01 (define @t902 () (@list @t143 @t365 @t893 @t889)) % 0.41/1.01 (define @t903 () (forall @t902 (or @t901 @t898 @t896 (not (forall @t70 (or @t895 (= @t19 @t893)))) @t892 (not (forall @t70 (or @t891 (= @t19 @t889))))))) % 0.41/1.01 (define @t904 () (@var "BOUND_VARIABLE_9814" $$unsorted)) % 0.41/1.01 (define @t905 () (@var "BOUND_VARIABLE_9812" $$unsorted)) % 0.41/1.01 (define @t906 () (= @t905 @t904)) % 0.41/1.01 (define @t907 () (not (_ @t143 @t904))) % 0.41/1.01 (define @t908 () (not (_ @t143 @t905))) % 0.41/1.01 (define @t909 () (@var "BOUND_VARIABLE_9803" $$unsorted)) % 0.41/1.01 (define @t910 () (not (_ @t143 @t909))) % 0.41/1.01 (define @t911 () (@list @t143 @t909 @t905 @t904)) % 0.41/1.01 (define @t912 () (forall @t911 (or @t910 (not (forall @t70 (or @t895 (= @t19 @t909)))) @t908 @t907 @t906))) % 0.41/1.01 (define @t913 () (not (forall @t70 (or @t891 @t129)))) % 0.41/1.01 (define @t914 () (_ @t365 @t4)) % 0.41/1.01 (define @t915 () (forall @t9 (or (not @t914) @t913))) % 0.41/1.01 (define @t916 () (not @t915)) % 0.41/1.01 (define @t917 () (forall @t70 (or @t895 @t129))) % 0.41/1.01 (define @t918 () (not @t917)) % 0.41/1.01 (define @t919 () (_ @t143 @t4)) % 0.41/1.01 (define @t920 () (not @t919)) % 0.41/1.01 (define @t921 () (forall @t9 (or @t920 @t918))) % 0.41/1.01 (define @t922 () (not @t921)) % 0.41/1.01 (define @t923 () (= @t922 @t916)) % 0.41/1.01 (define @t924 () (forall @t375 (or @t901 @t923))) % 0.41/1.01 (define @t925 () (@var "BOUND_VARIABLE_9710" $$unsorted)) % 0.41/1.01 (define @t926 () (@list @t143 @t925)) % 0.41/1.01 (define @t927 () (forall @t926 (or (not (forall @t70 (= @t894 (= @t19 @t925)))) @t922))) % 0.41/1.01 (define @t928 () (forall @t135 (or @t920 @t895 @t129))) % 0.41/1.01 (define @t929 () (not @t928)) % 0.41/1.01 (define @t930 () (@var "BOUND_VARIABLE_9694" $$unsorted)) % 0.41/1.01 (define @t931 () (not (_ @t143 @t930))) % 0.41/1.01 (define @t932 () (or @t931 @t929 @t922)) % 0.41/1.01 (define @t933 () (forall (@list @t143 @t930) @t932)) % 0.41/1.01 (define @t934 () (=> @t933 (=> @t927 (=> @t912 (=> @t924 (=> @t912 (=> @t903 (=> @t888 (=> @t877 (=> @t869 (=> @t869 (=> @t877 (=> @t874 (=> @t872 (=> @t871 (=> @t870 (=> @t869 @t867))))))))))))))))) % 0.41/1.01 (define @t935 () (tptp.prop2set true)) % 0.41/1.01 (define @t936 () (tptp.set2prop @t935)) % 0.41/1.01 (define @t937 () (=> @t936 @t934)) % 0.41/1.01 (define @t938 () (tptp.in tptp.emptyset @t935)) % 0.41/1.01 (define @t939 () (=> @t938 @t937)) % 0.41/1.01 (define @t940 () (tptp.in @t4 tptp.emptyset)) % 0.41/1.01 (define @t941 () (not @t940)) % 0.41/1.01 (define @t942 () (forall @t312 (or @t941 @t919))) % 0.41/1.01 (define @t943 () (=> @t942 @t939)) % 0.41/1.01 (define @t944 () (@var "BOUND_VARIABLE_9603" $$unsorted)) % 0.41/1.01 (define @t945 () (not (_ @t143 @t944))) % 0.41/1.01 (define @t946 () (not (tptp.in @t944 @t2))) % 0.41/1.01 (define @t947 () (not (= tptp.emptyset @t852))) % 0.41/1.01 (define @t948 () (or @t947 @t946 @t945)) % 0.41/1.01 (define @t949 () (@list @t2 @t143 @t944)) % 0.41/1.01 (define @t950 () (forall @t949 @t948)) % 0.41/1.01 (define @t951 () (=> @t950 @t943)) % 0.41/1.01 (define @t952 () (=> @t814 @t951)) % 0.41/1.01 (define @t953 () (tptp.in @t4 @t805)) % 0.41/1.01 (define @t954 () (forall @t135 @t953)) % 0.41/1.01 (define @t955 () (=> @t954 @t952)) % 0.41/1.01 (define @t956 () (= @t19 @t289)) % 0.41/1.01 (define @t957 () (= @t4 @t289)) % 0.41/1.01 (define @t958 () (tptp.in @t289 @t805)) % 0.41/1.01 (define @t959 () (forall @t295 (or (not @t958) @t957 @t956))) % 0.41/1.01 (define @t960 () (=> @t959 @t955)) % 0.41/1.01 (define @t961 () (tptp.in @t19 @t792)) % 0.41/1.01 (define @t962 () (tptp.in @t4 @t804)) % 0.41/1.01 (define @t963 () (not @t962)) % 0.41/1.01 (define @t964 () (forall @t135 (or @t963 @t961))) % 0.41/1.01 (define @t965 () (=> @t964 @t960)) % 0.41/1.01 (define @t966 () (tptp.in @t19 @t804)) % 0.41/1.01 (define @t967 () (forall @t70 @t966)) % 0.41/1.01 (define @t968 () (=> @t967 @t965)) % 0.41/1.01 (define @t969 () (forall @t135 (or @t129 (not @t961)))) % 0.41/1.01 (define @t970 () (=> @t969 @t968)) % 0.41/1.01 (define @t971 () (forall @t135 (or @t963 @t129))) % 0.41/1.01 (define @t972 () (=> @t971 @t970)) % 0.41/1.01 (define @t973 () (forall @t9 @t795)) % 0.41/1.01 (define @t974 () (not @t973)) % 0.41/1.01 (define @t975 () (forall @t64 (or @t196 @t974))) % 0.41/1.01 (define @t976 () (=> @t975 @t972)) % 0.41/1.01 (define @t977 () (@var "BOUND_VARIABLE_9491" $$unsorted)) % 0.41/1.01 (define @t978 () (not (_ @t143 @t977))) % 0.41/1.01 (define @t979 () (forall @t70 (= @t129 @t894))) % 0.41/1.01 (define @t980 () (forall @t9 (not @t979))) % 0.41/1.01 (define @t981 () (not @t980)) % 0.41/1.01 (define @t982 () (@list @t143 @t977)) % 0.41/1.01 (define @t983 () (forall @t982 (or @t981 @t978 (not (forall @t70 (or @t895 (= @t19 @t977))))))) % 0.41/1.01 (define @t984 () (=> @t983 @t976)) % 0.41/1.01 (define @t985 () (tptp.setunion @t2)) % 0.41/1.01 (define @t986 () (tptp.powerset @t985)) % 0.41/1.01 (define @t987 () (tptp.in @t4 @t986)) % 0.41/1.01 (define @t988 () (forall @t46 (or @t795 @t987))) % 0.41/1.01 (define @t989 () (=> @t988 @t984)) % 0.41/1.01 (define @t990 () (tptp.in @t1 @t2)) % 0.41/1.01 (define @t991 () (not @t990)) % 0.41/1.01 (define @t992 () (forall @t41 (or @t819 @t991))) % 0.41/1.01 (define @t993 () (not @t992)) % 0.41/1.01 (define @t994 () (tptp.in @t4 @t985)) % 0.41/1.01 (define @t995 () (not @t994)) % 0.41/1.01 (define @t996 () (forall @t46 (or @t995 @t993))) % 0.41/1.01 (define @t997 () (=> @t996 @t989)) % 0.41/1.01 (define @t998 () (forall @t249 (or @t819 @t991 @t994))) % 0.41/1.01 (define @t999 () (=> @t998 @t997)) % 0.41/1.01 (define @t1000 () (forall @t245 (or @t857 @t819 @t794))) % 0.41/1.01 (define @t1001 () (=> @t1000 @t999)) % 0.41/1.01 (define @t1002 () (tptp.in tptp.emptyset @t797)) % 0.41/1.01 (define @t1003 () (forall @t64 @t1002)) % 0.41/1.01 (define @t1004 () (=> @t1003 @t1001)) % 0.41/1.01 (define @t1005 () (=> @t1003 @t1004)) % 0.41/1.01 (define @t1006 () (forall @t9 (or @t819 @t794))) % 0.41/1.01 (define @t1007 () (not @t1006)) % 0.41/1.01 (define @t1008 () (forall @t12 (or @t1007 @t856))) % 0.41/1.01 (define @t1009 () (=> @t1008 @t1005)) % 0.41/1.01 (define @t1010 () (@var "BOUND_VARIABLE_26796" $$unsorted)) % 0.41/1.01 (define @t1011 () (lambda (@list @t1010) true)) % 0.41/1.01 (define @t1012 () (tptp.dsetconstr @t2 @t1011)) % 0.41/1.01 (define @t1013 () (forall @t64 (= @t2 @t1012))) % 0.41/1.01 (define @t1014 () (=> @t1013 @t1009)) % 0.41/1.01 (define @t1015 () (tptp.in @t19 @t2)) % 0.41/1.01 (define @t1016 () (tptp.in @t19 @t862)) % 0.41/1.01 (define @t1017 () (forall @t28 (or (not @t1016) @t129 @t1015))) % 0.41/1.01 (define @t1018 () (=> @t1017 @t1014)) % 0.41/1.01 (define @t1019 () (=> @t1017 @t1018)) % 0.41/1.01 (define @t1020 () (not @t1015)) % 0.41/1.01 (define @t1021 () (forall @t28 (or @t1020 @t1016))) % 0.41/1.01 (define @t1022 () (=> @t1021 @t1019)) % 0.41/1.01 (define @t1023 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.41/1.01 (define @t1024 () (tptp.in tptp.emptyset @t1023)) % 0.41/1.01 (define @t1025 () (=> @t221 @t1022)) % 0.41/1.01 (define @t1026 () (tptp.setadjoin @t4 @t19)) % 0.41/1.01 (define @t1027 () (tptp.in @t4 @t1026)) % 0.41/1.01 (define @t1028 () (forall @t135 @t1027)) % 0.41/1.01 (define @t1029 () (=> @t1028 @t1025)) % 0.41/1.01 (define @t1030 () (@var "BOUND_VARIABLE_9334" $$unsorted)) % 0.41/1.01 (define @t1031 () (not (tptp.in @t1030 tptp.emptyset))) % 0.41/1.01 (define @t1032 () (@list @t1030)) % 0.41/1.01 (define @t1033 () (forall @t1032 @t1031)) % 0.41/1.01 (define @t1034 () (=> @t1033 @t1029)) % 0.41/1.01 (define @t1035 () (forall @t159 (or @t795 @t920 @t947))) % 0.41/1.01 (define @t1036 () (=> @t1035 @t1034)) % 0.41/1.01 (define @t1037 () (=> @t975 @t1036)) % 0.41/1.01 (define @t1038 () (tptp.in @t4 @t852)) % 0.41/1.01 (define @t1039 () (forall @t159 (or @t795 (= @t919 @t1038)))) % 0.41/1.01 (define @t1040 () (=> @t1039 @t1037)) % 0.41/1.01 (define @t1041 () (forall @t64 (or @t974 @t196))) % 0.41/1.01 (define @t1042 () (=> @t1041 @t1040)) % 0.41/1.01 (define @t1043 () (=> @t1041 @t1042)) % 0.41/1.01 (define @t1044 () (or @t876 @t1007 @t3)) % 0.41/1.01 (define @t1045 () (forall @t12 @t1044)) % 0.41/1.01 (define @t1046 () (=> @t1045 @t1043)) % 0.41/1.01 (define @t1047 () (@var "BOUND_VARIABLE_9231" $$unsorted)) % 0.41/1.01 (define @t1048 () (not (_ @t143 @t1047))) % 0.41/1.01 (define @t1049 () (forall @t9 @t920)) % 0.41/1.01 (define @t1050 () (not @t1049)) % 0.41/1.01 (define @t1051 () (@list @t143 @t1047)) % 0.41/1.01 (define @t1052 () (forall @t1051 (or @t1050 @t1048 (not (forall @t70 (or @t895 (= @t19 @t1047))))))) % 0.41/1.01 (define @t1053 () (=> @t1052 @t1046)) % 0.41/1.01 (define @t1054 () (forall @t9 @t941)) % 0.41/1.01 (define @t1055 () (=> @t1054 @t1053)) % 0.41/1.01 (define @t1056 () (=> @t1054 @t1055)) % 0.41/1.01 (define @t1057 () (=> @t1054 @t1056)) % 0.41/1.01 (define @t1058 () (not (tptp.in @t4 (tptp.prop2set false)))) % 0.41/1.01 (define @t1059 () (forall @t9 @t1058)) % 0.41/1.01 (define @t1060 () (=> @t1059 @t1057)) % 0.41/1.01 (define @t1061 () (not @t1038)) % 0.41/1.01 (define @t1062 () (forall @t159 (or @t1061 @t919))) % 0.41/1.01 (define @t1063 () (=> @t1062 @t1060)) % 0.41/1.01 (define @t1064 () (forall @t159 (or @t1061 @t794))) % 0.41/1.01 (define @t1065 () (=> @t1064 @t1063)) % 0.41/1.01 (define @t1066 () (forall @t159 (or @t795 @t920 @t1038))) % 0.41/1.01 (define @t1067 () (=> @t1066 @t1065)) % 0.41/1.01 (define @t1068 () (@var "BOUND_VARIABLE_9130" $$unsorted)) % 0.41/1.01 (define @t1069 () (not (_ @t143 @t1068))) % 0.41/1.01 (define @t1070 () (_ @t143 @t897)) % 0.41/1.01 (define @t1071 () (@list @t143 @t1068)) % 0.41/1.01 (define @t1072 () (forall @t1071 (or @t1070 @t1069 (not (forall @t70 (or @t895 (= @t19 @t1068))))))) % 0.41/1.01 (define @t1073 () (=> @t1072 @t1067)) % 0.41/1.01 (define @t1074 () (@var "BOUND_VARIABLE_9050" $$unsorted)) % 0.41/1.01 (define @t1075 () (tptp.in @t1074 @t95)) % 0.41/1.01 (define @t1076 () (not (tptp.in @t1074 @t93))) % 0.41/1.01 (define @t1077 () (tptp.in @t4 @t93)) % 0.41/1.01 (define @t1078 () (tptp.in @t93 @t1)) % 0.41/1.01 (define @t1079 () (not @t1078)) % 0.41/1.01 (define @t1080 () (or @t1079 @t1077 @t1076 @t1075)) % 0.41/1.01 (define @t1081 () (@list @t93 @t1074)) % 0.41/1.01 (define @t1082 () (forall @t1081 @t1080)) % 0.41/1.01 (define @t1083 () (not @t1082)) % 0.41/1.01 (define @t1084 () (tptp.in @t19 @t104)) % 0.41/1.01 (define @t1085 () (tptp.in @t19 @t95)) % 0.41/1.01 (define @t1086 () (forall @t70 (or (not @t1085) (not @t1084)))) % 0.41/1.01 (define @t1087 () (not @t1086)) % 0.41/1.01 (define @t1088 () (tptp.in @t4 @t104)) % 0.41/1.01 (define @t1089 () (not @t1088)) % 0.41/1.01 (define @t1090 () (tptp.in @t95 @t1)) % 0.41/1.01 (define @t1091 () (not @t1090)) % 0.41/1.01 (define @t1092 () (not (forall @t112 (or @t1091 @t1089 @t1087 @t1083)))) % 0.41/1.01 (define @t1093 () (@var "BOUND_VARIABLE_9079" $$unsorted)) % 0.41/1.01 (define @t1094 () (not (tptp.in @t1093 @t104))) % 0.41/1.01 (define @t1095 () (forall @t9 (or @t1089 @t794))) % 0.41/1.01 (define @t1096 () (not @t1095)) % 0.41/1.01 (define @t1097 () (or @t1096 @t1094 @t1092)) % 0.41/1.01 (define @t1098 () (forall (@list @t104 @t1093) @t1097)) % 0.41/1.01 (define @t1099 () (not @t1098)) % 0.41/1.01 (define @t1100 () (@var "BOUND_VARIABLE_9002" $$unsorted)) % 0.41/1.01 (define @t1101 () (tptp.in @t1100 @t104)) % 0.41/1.01 (define @t1102 () (not (tptp.in @t1100 @t95))) % 0.41/1.01 (define @t1103 () (@var "BOUND_VARIABLE_8996" $$unsorted)) % 0.41/1.01 (define @t1104 () (tptp.in @t1103 @t95)) % 0.41/1.01 (define @t1105 () (not (tptp.in @t1103 @t104))) % 0.41/1.01 (define @t1106 () (tptp.in @t104 @t1)) % 0.41/1.01 (define @t1107 () (not @t1106)) % 0.41/1.01 (define @t1108 () (or @t1107 @t1091 @t1105 @t1104 @t1102 @t1101)) % 0.41/1.01 (define @t1109 () (@list @t104 @t95 @t1103 @t1100)) % 0.41/1.01 (define @t1110 () (forall @t1109 @t1108)) % 0.41/1.01 (define @t1111 () (not @t1110)) % 0.41/1.01 (define @t1112 () (forall @t118 (or @t1107 (= @t1088 @t1084)))) % 0.41/1.01 (define @t1113 () (not @t1112)) % 0.41/1.01 (define @t1114 () (forall @t135 (or @t795 @t1020 @t1113 @t129))) % 0.41/1.01 (define @t1115 () (not @t1114)) % 0.41/1.01 (define @t1116 () (@var "BOUND_VARIABLE_8945" $$unsorted)) % 0.41/1.01 (define @t1117 () (tptp.in @t1116 @t2)) % 0.41/1.01 (define @t1118 () (not (tptp.in @t1116 @t104))) % 0.41/1.01 (define @t1119 () (or @t1107 @t1118 @t1117)) % 0.41/1.01 (define @t1120 () (@list @t104 @t1116)) % 0.41/1.01 (define @t1121 () (forall @t1120 @t1119)) % 0.41/1.01 (define @t1122 () (not @t1121)) % 0.41/1.01 (define @t1123 () (or @t1122 @t1115 @t1111 @t1099)) % 0.41/1.01 (define @t1124 () (forall @t64 (not (forall @t41 @t1123)))) % 0.41/1.01 (define @t1125 () (=> @t1124 @t1073)) % 0.41/1.01 (define @t1126 () (forall @t9 (or @t819 @t795))) % 0.41/1.01 (define @t1127 () (not @t1126)) % 0.41/1.01 (define @t1128 () (not (forall @t41 (or @t991 @t1127)))) % 0.41/1.01 (define @t1129 () (@var "BOUND_VARIABLE_8920" $$unsorted)) % 0.41/1.01 (define @t1130 () (not (tptp.in @t1129 @t2))) % 0.41/1.01 (define @t1131 () (or @t1130 @t1128)) % 0.41/1.01 (define @t1132 () (forall (@list @t2 @t1129) @t1131)) % 0.41/1.01 (define @t1133 () (=> @t1132 @t1125)) % 0.41/1.01 (define @t1134 () (_ @t67 @t19 @t4)) % 0.41/1.01 (define @t1135 () (not (forall @t70 (or @t1020 (not @t1134))))) % 0.41/1.01 (define @t1136 () (forall @t9 (= @t818 @t1135))) % 0.41/1.01 (define @t1137 () (not (forall @t41 (not @t1136)))) % 0.41/1.01 (define @t1138 () (@var "BOUND_VARIABLE_8812" $$unsorted)) % 0.41/1.01 (define @t1139 () (= @t19 @t1138)) % 0.41/1.01 (define @t1140 () (_ @t67 @t4 @t19)) % 0.41/1.01 (define @t1141 () (not (forall @t70 (or (not @t1140) @t1139)))) % 0.41/1.01 (define @t1142 () (_ @t67 @t4 @t1138)) % 0.41/1.01 (define @t1143 () (@list @t1138)) % 0.41/1.01 (define @t1144 () (not (forall @t1143 (or (not @t1142) @t1141)))) % 0.41/1.01 (define @t1145 () (forall @t9 (or @t795 @t1144))) % 0.41/1.01 (define @t1146 () (forall @t81 (or (not @t1145) @t1137))) % 0.41/1.01 (define @t1147 () (=> @t1146 @t1133)) % 0.41/1.01 (define @t1148 () (@var "BOUND_VARIABLE_8793" $$unsorted)) % 0.41/1.01 (define @t1149 () (tptp.in @t1148 @t2)) % 0.41/1.01 (define @t1150 () (not (tptp.in @t1148 tptp.omega))) % 0.41/1.01 (define @t1151 () (tptp.setadjoin @t4 @t4)) % 0.41/1.01 (define @t1152 () (tptp.in @t1151 @t2)) % 0.41/1.01 (define @t1153 () (tptp.in @t4 tptp.omega)) % 0.41/1.01 (define @t1154 () (not @t1153)) % 0.41/1.01 (define @t1155 () (forall @t9 (or @t1154 @t795 @t1152))) % 0.41/1.01 (define @t1156 () (not @t1155)) % 0.41/1.01 (define @t1157 () (tptp.in tptp.emptyset @t2)) % 0.41/1.01 (define @t1158 () (not @t1157)) % 0.41/1.01 (define @t1159 () (or @t1158 @t1156 @t1150 @t1149)) % 0.41/1.01 (define @t1160 () (@list @t2 @t1148)) % 0.41/1.01 (define @t1161 () (forall @t1160 @t1159)) % 0.41/1.01 (define @t1162 () (=> @t1161 @t1147)) % 0.41/1.01 (define @t1163 () (tptp.in @t1151 tptp.omega)) % 0.41/1.01 (define @t1164 () (forall @t9 (or @t1154 @t1163))) % 0.41/1.01 (define @t1165 () (=> @t1164 @t1162)) % 0.41/1.01 (define @t1166 () (tptp.in tptp.emptyset tptp.omega)) % 0.41/1.01 (define @t1167 () (=> @t50 @t1165)) % 0.41/1.01 (define @t1168 () (forall @t46 (= @t994 @t993))) % 0.41/1.01 (define @t1169 () (=> @t1168 @t1167)) % 0.41/1.01 (define @t1170 () (forall @t12 (= @t1006 @t856))) % 0.41/1.01 (define @t1171 () (=> @t1170 @t1169)) % 0.41/1.01 (define @t1172 () (or @t129 @t1015)) % 0.41/1.01 (define @t1173 () (forall @t28 (= @t1016 @t1172))) % 0.41/1.01 (define @t1174 () (=> @t1173 @t1171)) % 0.41/1.01 (define @t1175 () (=> @t1054 @t1174)) % 0.41/1.01 (define @t1176 () (forall @t9 (= @t794 @t818))) % 0.41/1.01 (define @t1177 () (forall @t12 (or (not @t1176) @t3))) % 0.41/1.01 (define @t1178 () (=> @t1177 @t1175)) % 0.41/1.01 (define @t1179 () (=> @t869 (=> true @t867))) % 0.41/1.01 (define @t1180 () (=> @t870 @t1179)) % 0.41/1.01 (define @t1181 () (=> @t871 @t1180)) % 0.41/1.01 (define @t1182 () (=> @t872 @t1181)) % 0.41/1.01 (define @t1183 () (=> @t874 @t1182)) % 0.41/1.01 (define @t1184 () (=> @t877 @t1183)) % 0.41/1.01 (define @t1185 () (=> @t869 @t1184)) % 0.41/1.01 (define @t1186 () (=> @t869 @t1185)) % 0.41/1.01 (define @t1187 () (=> @t877 @t1186)) % 0.41/1.01 (define @t1188 () (=> @t888 @t1187)) % 0.41/1.01 (define @t1189 () (=> @t903 @t1188)) % 0.41/1.01 (define @t1190 () (=> @t912 @t1189)) % 0.41/1.01 (define @t1191 () (=> true (=> true @t1190))) % 0.41/1.01 (define @t1192 () (=> true @t1191)) % 0.41/1.01 (define @t1193 () (=> true @t1192)) % 0.41/1.01 (define @t1194 () (=> true @t1193)) % 0.41/1.01 (define @t1195 () (=> @t924 @t1194)) % 0.41/1.01 (define @t1196 () (=> @t912 @t1195)) % 0.41/1.01 (define @t1197 () (=> true (=> true @t1196))) % 0.41/1.01 (define @t1198 () (=> @t927 @t1197)) % 0.41/1.01 (define @t1199 () (=> @t933 @t1198)) % 0.41/1.01 (define @t1200 () (=> true (=> true @t1199))) % 0.41/1.01 (define @t1201 () (=> true @t1200)) % 0.41/1.01 (define @t1202 () (=> @t936 @t1201)) % 0.41/1.01 (define @t1203 () (=> @t938 @t1202)) % 0.41/1.01 (define @t1204 () (=> true (=> true @t1203))) % 0.41/1.01 (define @t1205 () (=> true @t1204)) % 0.41/1.01 (define @t1206 () (=> true @t1205)) % 0.41/1.01 (define @t1207 () (=> @t942 @t1206)) % 0.41/1.01 (define @t1208 () (=> @t950 @t1207)) % 0.41/1.01 (define @t1209 () (=> @t814 @t1208)) % 0.41/1.01 (define @t1210 () (=> @t954 @t1209)) % 0.41/1.01 (define @t1211 () (=> @t959 @t1210)) % 0.41/1.01 (define @t1212 () (=> @t964 @t1211)) % 0.41/1.01 (define @t1213 () (=> @t967 @t1212)) % 0.41/1.01 (define @t1214 () (=> @t969 @t1213)) % 0.41/1.01 (define @t1215 () (=> @t971 @t1214)) % 0.41/1.01 (define @t1216 () (=> @t975 @t1215)) % 0.41/1.01 (define @t1217 () (=> @t983 @t1216)) % 0.41/1.01 (define @t1218 () (=> @t988 @t1217)) % 0.41/1.01 (define @t1219 () (=> @t996 @t1218)) % 0.41/1.01 (define @t1220 () (=> @t998 @t1219)) % 0.41/1.01 (define @t1221 () (=> @t1000 @t1220)) % 0.41/1.01 (define @t1222 () (=> @t1003 @t1221)) % 0.41/1.01 (define @t1223 () (=> @t1003 @t1222)) % 0.41/1.01 (define @t1224 () (=> @t1008 @t1223)) % 0.41/1.01 (define @t1225 () (=> @t1013 @t1224)) % 0.41/1.01 (define @t1226 () (=> @t1017 @t1225)) % 0.41/1.01 (define @t1227 () (=> @t1017 @t1226)) % 0.41/1.01 (define @t1228 () (=> @t1021 @t1227)) % 0.41/1.01 (define @t1229 () (=> @t221 @t1228)) % 0.41/1.01 (define @t1230 () (=> @t1028 @t1229)) % 0.41/1.01 (define @t1231 () (=> @t1033 @t1230)) % 0.41/1.01 (define @t1232 () (=> @t1035 @t1231)) % 0.41/1.01 (define @t1233 () (=> @t975 @t1232)) % 0.41/1.01 (define @t1234 () (=> @t1039 @t1233)) % 0.41/1.01 (define @t1235 () (=> @t1041 @t1234)) % 0.41/1.01 (define @t1236 () (=> @t1041 @t1235)) % 0.41/1.01 (define @t1237 () (=> @t1045 @t1236)) % 0.41/1.01 (define @t1238 () (=> @t1052 @t1237)) % 0.41/1.01 (define @t1239 () (=> @t1054 @t1238)) % 0.41/1.01 (define @t1240 () (=> @t1054 @t1239)) % 0.41/1.01 (define @t1241 () (=> @t1054 @t1240)) % 0.41/1.01 (define @t1242 () (=> @t1059 @t1241)) % 0.41/1.01 (define @t1243 () (=> @t1062 (=> true @t1242))) % 0.41/1.01 (define @t1244 () (=> @t1064 @t1243)) % 0.41/1.01 (define @t1245 () (=> @t1066 @t1244)) % 0.41/1.01 (define @t1246 () (=> @t1072 @t1245)) % 0.41/1.01 (define @t1247 () (=> @t1124 @t1246)) % 0.41/1.01 (define @t1248 () (=> @t1132 @t1247)) % 0.41/1.01 (define @t1249 () (=> @t1146 @t1248)) % 0.41/1.01 (define @t1250 () (=> @t1161 @t1249)) % 0.41/1.01 (define @t1251 () (=> @t1164 @t1250)) % 0.41/1.01 (define @t1252 () (=> @t50 @t1251)) % 0.41/1.01 (define @t1253 () (=> @t1168 @t1252)) % 0.41/1.01 (define @t1254 () (=> @t1170 @t1253)) % 0.41/1.01 (define @t1255 () (=> @t1173 @t1254)) % 0.41/1.01 (define @t1256 () (=> @t1054 @t1255)) % 0.41/1.01 (define @t1257 () (=> @t1177 @t1256)) % 0.41/1.01 (define @t1258 () (_ tptp.in @t792)) % 0.41/1.01 (define @t1259 () (or @t197 @t632)) % 0.41/1.01 (define @t1260 () (=> tptp.singletoninpowerset @t796)) % 0.41/1.01 (define @t1261 () (or @t197 @t628)) % 0.41/1.01 (define @t1262 () (=> tptp.singletonsubset @t1260)) % 0.41/1.01 (define @t1263 () (= @t616 @t803)) % 0.41/1.01 (define @t1264 () (not @t1263)) % 0.41/1.01 (define @t1265 () (tptp.setunion @t616)) % 0.41/1.01 (define @t1266 () (tptp.in @t800 @t1265)) % 0.41/1.01 (define @t1267 () (not @t1266)) % 0.41/1.01 (define @t1268 () (tptp.in @t802 @t1265)) % 0.41/1.01 (define @t1269 () (not @t1268)) % 0.41/1.01 (define @t1270 () (or @t1269 @t1267 @t1264)) % 0.41/1.01 (define @t1271 () (forall @t809 @t1270)) % 0.41/1.01 (define @t1272 () (not @t1271)) % 0.41/1.01 (define @t1273 () (not (tptp.in @t800 @t985))) % 0.41/1.01 (define @t1274 () (not (= @t2 (tptp.setadjoin @t792 (tptp.setadjoin (tptp.setadjoin @t4 @t801) tptp.emptyset))))) % 0.41/1.01 (define @t1275 () (or @t995 @t1273 @t1274)) % 0.41/1.01 (define @t1276 () (@list @t4 @t800)) % 0.41/1.01 (define @t1277 () (forall @t1276 @t1275)) % 0.41/1.01 (define @t1278 () (@list @t4)) % 0.41/1.01 (define @t1279 () (not @t1277)) % 0.41/1.01 (define @t1280 () (lambda @t64 @t1279)) % 0.41/1.01 (define @t1281 () (lambda @t70 @t616)) % 0.41/1.01 (define @t1282 () (_ @t787 @t4)) % 0.41/1.01 (define @t1283 () (forall @t135 (_ @t1280 (_ @t1282 @t19)))) % 0.41/1.01 (define @t1284 () (or @t1273 @t1274)) % 0.41/1.01 (define @t1285 () (or @t995 @t1284)) % 0.41/1.01 (define @t1286 () (forall @t1276 @t1285)) % 0.41/1.01 (define @t1287 () (@list @t800)) % 0.41/1.01 (define @t1288 () (forall @t1287 @t1285)) % 0.41/1.01 (define @t1289 () (forall @t1287 @t1284)) % 0.41/1.01 (define @t1290 () (@list @t19)) % 0.41/1.01 (define @t1291 () (or @t995 @t1289)) % 0.41/1.01 (define @t1292 () (tptp.in @t19 @t985)) % 0.41/1.01 (define @t1293 () (forall @t70 (or (not @t1292) (not (= @t2 @t807))))) % 0.41/1.01 (define @t1294 () (not @t44)) % 0.41/1.01 (define @t1295 () (or @t1294 @t1293)) % 0.41/1.01 (define @t1296 () (not @t1293)) % 0.41/1.01 (define @t1297 () (and @t44 @t1296)) % 0.41/1.01 (define @t1298 () (forall @t9 (not @t1297))) % 0.41/1.01 (define @t1299 () (not @t1298)) % 0.41/1.01 (define @t1300 () (not @t780)) % 0.41/1.01 (define @t1301 () (not @t781)) % 0.41/1.01 (define @t1302 () (or @t1301 @t1300)) % 0.41/1.01 (define @t1303 () (forall @t70 (not @t782))) % 0.41/1.01 (define @t1304 () (not @t1303)) % 0.41/1.01 (define @t1305 () (=> tptp.kpairp @t1262)) % 0.41/1.01 (define @t1306 () (forall @t135 (_ @t1280 @t616))) % 0.41/1.01 (define @t1307 () (=> tptp.kpairiskpair @t1305)) % 0.41/1.01 (define @t1308 () (=> tptp.setukpairIR @t1307)) % 0.41/1.01 (define @t1309 () (=> tptp.setukpairIL @t1308)) % 0.41/1.01 (define @t1310 () (=> tptp.secondinupair @t1309)) % 0.41/1.01 (define @t1311 () (or @t7 @t6 @t608)) % 0.41/1.01 (define @t1312 () (not @t434)) % 0.41/1.01 (define @t1313 () (not @t197)) % 0.41/1.01 (define @t1314 () (=> tptp.symdiffIneg2 @t1310)) % 0.41/1.01 (define @t1315 () (or @t197 @t434 @t608)) % 0.41/1.01 (define @t1316 () (=> tptp.symdiffIneg1 @t1314)) % 0.41/1.01 (define @t1317 () (or @t7 @t434 @t598)) % 0.41/1.01 (define @t1318 () (=> tptp.symdiffI2 @t1316)) % 0.41/1.01 (define @t1319 () (or @t197 @t6 @t598)) % 0.41/1.01 (define @t1320 () (=> tptp.symdiffI1 @t1318)) % 0.41/1.01 (define @t1321 () (or @t608 @t821 @t820)) % 0.41/1.01 (define @t1322 () (or @t821 @t820)) % 0.41/1.01 (define @t1323 () (not false)) % 0.41/1.01 (define @t1324 () (and @t795 @t818 @t1323)) % 0.41/1.01 (define @t1325 () (and @t794 @t819 @t1323)) % 0.41/1.01 (define @t1326 () (or @t1325 @t1324)) % 0.41/1.02 (define @t1327 () (or @t1325 @t1324 false)) % 0.41/1.02 (define @t1328 () (not @t173)) % 0.41/1.02 (define @t1329 () (and @t795 @t818 @t1328)) % 0.41/1.02 (define @t1330 () (and @t794 @t819 @t1328)) % 0.41/1.02 (define @t1331 () (not (= @t173 false))) % 0.41/1.02 (define @t1332 () (or @t173 @t1330 @t1329 @t173)) % 0.41/1.02 (define @t1333 () (or @t1330 @t1329 @t173)) % 0.41/1.02 (define @t1334 () (and @t197 @t6 @t1328)) % 0.41/1.02 (define @t1335 () (and @t7 @t434 @t1328)) % 0.41/1.02 (define @t1336 () (or @t1335 @t1334 @t173)) % 0.41/1.02 (define @t1337 () (and @t6 @t1328)) % 0.41/1.02 (define @t1338 () (not @t497)) % 0.41/1.02 (define @t1339 () (=> tptp.symdiffE @t1320)) % 0.41/1.02 (define @t1340 () (= tptp.emptyset @t564)) % 0.41/1.02 (define @t1341 () (not @t1340)) % 0.41/1.02 (define @t1342 () (or @t1341 @t419)) % 0.41/1.02 (define @t1343 () (=> tptp.setminusSubset1 @t1339)) % 0.41/1.02 (define @t1344 () (=> tptp.setminusLsub @t1343)) % 0.41/1.02 (define @t1345 () (or @t434 @t577)) % 0.41/1.02 (define @t1346 () (=> tptp.setminusIRneg @t1344)) % 0.41/1.02 (define @t1347 () (or @t7 @t577)) % 0.41/1.02 (define @t1348 () (=> tptp.setminusILneg @t1346)) % 0.41/1.02 (define @t1349 () (or @t565 @t6 @t197)) % 0.41/1.02 (define @t1350 () (or @t6 @t197)) % 0.41/1.02 (define @t1351 () (not @t577)) % 0.41/1.02 (define @t1352 () (=> tptp.setminusELneg @t1348)) % 0.41/1.02 (define @t1353 () (or @t565 @t197 @t6)) % 0.41/1.02 (define @t1354 () (or @t197 @t6)) % 0.41/1.02 (define @t1355 () (=> tptp.setminusERneg @t1352)) % 0.41/1.02 (define @t1356 () (or @t438 @t1340)) % 0.41/1.02 (define @t1357 () (=> tptp.setminusSubset2 @t1355)) % 0.41/1.02 (define @t1358 () (or @t577 @t434)) % 0.41/1.02 (define @t1359 () (=> tptp.setminusER @t1357)) % 0.41/1.02 (define @t1360 () (or @t577 @t7)) % 0.41/1.02 (define @t1361 () (=> tptp.setminusEL @t1359)) % 0.41/1.02 (define @t1362 () (or @t197 @t6 @t565)) % 0.41/1.02 (define @t1363 () (=> tptp.setminusI @t1361)) % 0.41/1.02 (define @t1364 () (=> tptp.bs114d @t1363)) % 0.41/1.02 (define @t1365 () (= @t2 @t514)) % 0.41/1.02 (define @t1366 () (not @t1365)) % 0.41/1.02 (define @t1367 () (or @t1366 @t419)) % 0.41/1.02 (define @t1368 () (=> tptp.binintersectSubset1 @t1364)) % 0.41/1.02 (define @t1369 () (= @t1 @t514)) % 0.41/1.02 (define @t1370 () (not @t424)) % 0.41/1.02 (define @t1371 () (or @t1370 @t1369)) % 0.41/1.02 (define @t1372 () (=> tptp.binintersectSubset4 @t1368)) % 0.41/1.02 (define @t1373 () (_ tptp.subset @t830)) % 0.41/1.02 (define @t1374 () (=> tptp.binintersectRsub @t1372)) % 0.41/1.02 (define @t1375 () (= tptp.emptyset @t514)) % 0.41/1.02 (define @t1376 () (or @t840 @t1375)) % 0.41/1.02 (define @t1377 () (or @t197 @t434)) % 0.41/1.02 (define @t1378 () (forall @t9 (not @t542))) % 0.41/1.02 (define @t1379 () (not @t1378)) % 0.41/1.02 (define @t1380 () (=> tptp.disjointsetsI1 @t1374)) % 0.41/1.02 (define @t1381 () (not @t515)) % 0.41/1.02 (define @t1382 () (or @t1381 @t6)) % 0.41/1.02 (define @t1383 () (=> tptp.binintersectER @t1380)) % 0.41/1.02 (define @t1384 () (not @t1369)) % 0.41/1.02 (define @t1385 () (or @t1384 @t424)) % 0.41/1.02 (define @t1386 () (=> tptp.binintersectSubset3 @t1383)) % 0.41/1.02 (define @t1387 () (or @t438 @t1365)) % 0.41/1.02 (define @t1388 () (=> tptp.binintersectSubset2 @t1386)) % 0.41/1.02 (define @t1389 () (=> tptp.binintersectLsub @t1388)) % 0.41/1.02 (define @t1390 () (or @t1381 @t7)) % 0.41/1.02 (define @t1391 () (=> tptp.binintersectEL @t1389)) % 0.41/1.02 (define @t1392 () (not @t521)) % 0.41/1.02 (define @t1393 () (not @t523)) % 0.41/1.02 (define @t1394 () (or @t1393 @t1392 @t520)) % 0.41/1.02 (define @t1395 () (=> tptp.binintersectSubset5 @t1391)) % 0.41/1.02 (define @t1396 () (or @t197 @t434 @t515)) % 0.41/1.02 (define @t1397 () (=> tptp.binintersectI @t1395)) % 0.41/1.02 (define @t1398 () (=> tptp.binunionRsub @t1397)) % 0.41/1.02 (define @t1399 () (=> tptp.binunionLsub @t1398)) % 0.41/1.02 (define @t1400 () (not @t492)) % 0.41/1.02 (define @t1401 () (or @t1400 @t7 @t6)) % 0.41/1.02 (define @t1402 () (=> tptp.binunionE @t1399)) % 0.41/1.02 (define @t1403 () (and @t818 @t1323)) % 0.41/1.02 (define @t1404 () (and @t794 @t1323)) % 0.41/1.02 (define @t1405 () (or @t850 @t1404 @t1403)) % 0.41/1.02 (define @t1406 () (or @t850 @t1404 @t1403 false)) % 0.41/1.02 (define @t1407 () (and @t818 @t1328)) % 0.41/1.02 (define @t1408 () (and @t794 @t1328)) % 0.41/1.02 (define @t1409 () (or @t173 @t850 @t1408 @t1407 @t173)) % 0.41/1.02 (define @t1410 () (or @t850 @t1408 @t1407 @t173)) % 0.41/1.02 (define @t1411 () (forall @t179 @t1410)) % 0.41/1.02 (define @t1412 () (forall @t245 @t1411)) % 0.41/1.02 (define @t1413 () (and @t7 @t1328)) % 0.41/1.02 (define @t1414 () (or @t1400 @t1413 @t1337 @t173)) % 0.41/1.02 (define @t1415 () (or @t1413 @t1337 @t173)) % 0.41/1.02 (define @t1416 () (=> tptp.binunionEcases @t1402)) % 0.41/1.02 (define @t1417 () (or @t434 @t492)) % 0.41/1.02 (define @t1418 () (=> tptp.binunionIR @t1416)) % 0.41/1.02 (define @t1419 () (=> tptp.upairset2IR @t1418)) % 0.41/1.02 (define @t1420 () (or @t197 @t492)) % 0.41/1.02 (define @t1421 () (=> tptp.binunionIL @t1419)) % 0.41/1.02 (define @t1422 () (lambda @t9 @t919)) % 0.41/1.02 (define @t1423 () (tptp.dsetconstr @t2 @t1422)) % 0.41/1.02 (define @t1424 () (tptp.subset @t1423 @t2)) % 0.41/1.02 (define @t1425 () (=> tptp.sepSubset @t1421)) % 0.41/1.02 (define @t1426 () (tptp.in @t1423 @t797)) % 0.41/1.02 (define @t1427 () (=> tptp.sepInPowerset @t1425)) % 0.41/1.02 (define @t1428 () (or @t438 @t482)) % 0.41/1.02 (define @t1429 () (=> tptp.powersetsubset @t1427)) % 0.41/1.02 (define @t1430 () (=> tptp.inPowerset @t1429)) % 0.41/1.02 (define @t1431 () (not @t35)) % 0.41/1.02 (define @t1432 () (or @t1431 @t424)) % 0.41/1.02 (define @t1433 () (=> tptp.powersetE1 @t1430)) % 0.41/1.02 (define @t1434 () (or @t1370 @t35)) % 0.41/1.02 (define @t1435 () (=> tptp.powersetI1 @t1433)) % 0.41/1.02 (define @t1436 () (not @t472)) % 0.41/1.02 (define @t1437 () (or @t1436 @t196)) % 0.41/1.02 (define @t1438 () (=> tptp.subsetemptysetimpeq @t1435)) % 0.41/1.02 (define @t1439 () (or @t438 @t1370 @t3)) % 0.41/1.02 (define @t1440 () (=> tptp.setextsub @t1438)) % 0.41/1.02 (define @t1441 () (or @t438 @t466)) % 0.41/1.02 (define @t1442 () (=> tptp.subset2powerset @t1440)) % 0.41/1.02 (define @t1443 () (or @t438 @t462)) % 0.41/1.02 (define @t1444 () (=> tptp.setadjoinSub2 @t1442)) % 0.41/1.02 (define @t1445 () (=> tptp.setadjoinSub @t1444)) % 0.41/1.02 (define @t1446 () (not @t452)) % 0.41/1.02 (define @t1447 () (or @t438 @t1446 @t451)) % 0.41/1.02 (define @t1448 () (=> tptp.subsetTrans @t1445)) % 0.41/1.02 (define @t1449 () (=> tptp.subsetRefl @t1448)) % 0.41/1.02 (define @t1450 () (@list @t1 @t4)) % 0.41/1.02 (define @t1451 () (or @t819 @t818)) % 0.41/1.02 (define @t1452 () (not true)) % 0.41/1.02 (define @t1453 () (not (= @t1 @t1))) % 0.41/1.02 (define @t1454 () (or @t819 @t818 @t1453)) % 0.41/1.02 (define @t1455 () (or @t442 @t795 @t818 @t442)) % 0.41/1.02 (define @t1456 () (or @t795 @t818 @t442)) % 0.41/1.02 (define @t1457 () (forall @t64 @t1456)) % 0.41/1.02 (define @t1458 () (forall @t1450 @t1457)) % 0.41/1.02 (define @t1459 () (forall (@list @t1 @t4 @t2) @t1456)) % 0.41/1.02 (define @t1460 () (or @t197 @t6 @t442)) % 0.41/1.02 (define @t1461 () (=> tptp.notequalI2 @t1449)) % 0.41/1.02 (define @t1462 () (or @t868 @t1453)) % 0.41/1.02 (define @t1463 () (or @t442 @t822 @t442)) % 0.41/1.02 (define @t1464 () (or @t822 @t442)) % 0.41/1.02 (define @t1465 () (forall @t64 @t1464)) % 0.41/1.02 (define @t1466 () (forall @t41 @t1465)) % 0.41/1.02 (define @t1467 () (@list @t1 @t2)) % 0.41/1.02 (define @t1468 () (forall @t1467 @t1464)) % 0.41/1.02 (define @t1469 () (or @t419 @t442)) % 0.41/1.02 (define @t1470 () (=> tptp.notequalI1 @t1461)) % 0.41/1.02 (define @t1471 () (or @t197 @t6 @t438)) % 0.41/1.02 (define @t1472 () (=> tptp.notsubsetI @t1470)) % 0.41/1.02 (define @t1473 () (or @t438 @t6 @t197)) % 0.41/1.02 (define @t1474 () (=> tptp.subsetE2 @t1472)) % 0.41/1.02 (define @t1475 () (or @t438 @t197 @t6)) % 0.41/1.02 (define @t1476 () (=> tptp.subsetE @t1474)) % 0.41/1.02 (define @t1477 () (=> tptp.emptysetsubset @t1476)) % 0.41/1.02 (define @t1478 () (or @t876 @t419)) % 0.41/1.02 (define @t1479 () (=> tptp.subsetI2 @t1477)) % 0.41/1.02 (define @t1480 () (or @t1453 @t868)) % 0.41/1.02 (define @t1481 () (or @t442 @t442 @t822)) % 0.41/1.02 (define @t1482 () (or @t442 @t822)) % 0.41/1.02 (define @t1483 () (forall @t64 @t1482)) % 0.41/1.02 (define @t1484 () (forall @t41 @t1483)) % 0.41/1.02 (define @t1485 () (forall @t1467 @t1482)) % 0.41/1.02 (define @t1486 () (or @t442 @t419)) % 0.41/1.02 (define @t1487 () (=> tptp.eqimpsubset1 @t1479)) % 0.41/1.02 (define @t1488 () (or @t442 @t442 @t836)) % 0.41/1.02 (define @t1489 () (or @t442 @t836)) % 0.41/1.02 (define @t1490 () (forall @t64 @t1489)) % 0.41/1.02 (define @t1491 () (forall @t41 @t1490)) % 0.41/1.02 (define @t1492 () (forall @t1467 @t1489)) % 0.41/1.02 (define @t1493 () (or @t442 @t424)) % 0.41/1.02 (define @t1494 () (=> tptp.eqimpsubset2 @t1487)) % 0.41/1.02 (define @t1495 () (=> tptp.subsetI1 @t1494)) % 0.41/1.02 (define @t1496 () (or @t819 @t819 @t883)) % 0.41/1.02 (define @t1497 () (forall @t9 @t1496)) % 0.41/1.02 (define @t1498 () (not @t1497)) % 0.41/1.02 (define @t1499 () (or @t1453 @t1498 (= @t879 @t881))) % 0.41/1.02 (define @t1500 () (= (tptp.dsetconstr @t2 @t878) @t881)) % 0.41/1.02 (define @t1501 () (not (forall @t9 (or @t795 @t819 @t883)))) % 0.41/1.02 (define @t1502 () (or @t442 @t442 @t1501 @t1500)) % 0.41/1.02 (define @t1503 () (or @t442 @t1501 @t1500)) % 0.41/1.02 (define @t1504 () (forall @t64 @t1503)) % 0.41/1.02 (define @t1505 () (forall @t887 @t1504)) % 0.41/1.02 (define @t1506 () (forall (@list @t1 @t878 @t880 @t2) @t1503)) % 0.41/1.02 (define @t1507 () (@list @t2 @t1 @t878 @t880)) % 0.41/1.02 (define @t1508 () (or @t1501 @t1500)) % 0.41/1.02 (define @t1509 () (or @t442 @t1508)) % 0.41/1.02 (define @t1510 () (forall @t1507 @t1509)) % 0.41/1.02 (define @t1511 () (@list @t878 @t880)) % 0.41/1.02 (define @t1512 () (forall @t1511 @t1509)) % 0.41/1.02 (define @t1513 () (forall @t1511 @t1508)) % 0.41/1.02 (define @t1514 () (or @t442 @t1513)) % 0.41/1.02 (define @t1515 () (= @t919 @t914)) % 0.41/1.02 (define @t1516 () (forall @t9 (or @t795 @t819 @t1515))) % 0.41/1.02 (define @t1517 () (not @t1516)) % 0.41/1.02 (define @t1518 () (forall @t375 (or @t1517 (= @t852 (tptp.dsetconstr @t1 @t365))))) % 0.41/1.02 (define @t1519 () (lambda @t9 @t914)) % 0.41/1.02 (define @t1520 () (tptp.dsetconstr @t1 @t1519)) % 0.41/1.02 (define @t1521 () (= @t1423 @t1520)) % 0.41/1.02 (define @t1522 () (or @t1517 @t1521)) % 0.41/1.02 (define @t1523 () (or @t1517 @t409)) % 0.41/1.02 (define @t1524 () (or @t197 @t819 @t1515)) % 0.41/1.02 (define @t1525 () (or @t819 @t1515)) % 0.41/1.02 (define @t1526 () (not (= @t4 @t4))) % 0.41/1.02 (define @t1527 () (or @t819 @t1526 @t1515)) % 0.41/1.02 (define @t1528 () (= @t919 @t890)) % 0.41/1.02 (define @t1529 () (tptp.in @t19 @t1)) % 0.41/1.02 (define @t1530 () (not @t1529)) % 0.41/1.02 (define @t1531 () (or @t282 @t1530 @t282 @t1528)) % 0.41/1.02 (define @t1532 () (or @t1530 @t282 @t1528)) % 0.41/1.02 (define @t1533 () (not @t351)) % 0.41/1.02 (define @t1534 () (or @t1533 @t282 @t371)) % 0.41/1.02 (define @t1535 () (or @t282 @t371)) % 0.41/1.02 (define @t1536 () (=> tptp.dsetconstr__Cong @t1495)) % 0.41/1.02 (define @t1537 () (or @t891 (= @t889 @t19))) % 0.41/1.02 (define @t1538 () (forall @t70 @t1537)) % 0.41/1.02 (define @t1539 () (not @t1538)) % 0.41/1.02 (define @t1540 () (or @t895 (= @t893 @t19))) % 0.41/1.02 (define @t1541 () (forall @t70 @t1540)) % 0.41/1.02 (define @t1542 () (not @t1541)) % 0.41/1.02 (define @t1543 () (or @t901 @t898 @t896 @t1542 @t892 @t1539)) % 0.41/1.02 (define @t1544 () (or @t892 @t1539)) % 0.41/1.02 (define @t1545 () (or @t896 @t1542)) % 0.41/1.02 (define @t1546 () (or @t901 @t1545 @t1544 @t898)) % 0.41/1.02 (define @t1547 () (forall @t902 @t1546)) % 0.41/1.02 (define @t1548 () (forall (@list @t893 @t889) @t1546)) % 0.41/1.02 (define @t1549 () (forall (@list @t889) @t1544)) % 0.41/1.02 (define @t1550 () (forall (@list @t893) @t1545)) % 0.41/1.02 (define @t1551 () (or @t901 @t1550 @t1549 @t898)) % 0.41/1.02 (define @t1552 () (tptp.descr @t1519)) % 0.41/1.02 (define @t1553 () (tptp.descr @t1422)) % 0.41/1.02 (define @t1554 () (= @t1553 @t1552)) % 0.41/1.02 (define @t1555 () (or @t901 @t921 @t915 @t1554)) % 0.41/1.02 (define @t1556 () (or @t901 @t921 @t915 @t401)) % 0.41/1.02 (define @t1557 () (or @t921 @t915 @t401)) % 0.41/1.02 (define @t1558 () (=> @t916 @t401)) % 0.41/1.02 (define @t1559 () (not @t922)) % 0.41/1.02 (define @t1560 () (=> @t922 @t1558)) % 0.41/1.02 (define @t1561 () (not @t366)) % 0.41/1.02 (define @t1562 () (or @t1561 @t913)) % 0.41/1.02 (define @t1563 () (not @t370)) % 0.41/1.02 (define @t1564 () (or @t1563 @t129)) % 0.41/1.02 (define @t1565 () (_ @t367 @t19)) % 0.41/1.02 (define @t1566 () (not @t1565)) % 0.41/1.02 (define @t1567 () (or @t1566 @t129)) % 0.41/1.02 (define @t1568 () (forall @t70 @t1567)) % 0.41/1.02 (define @t1569 () (not @t1568)) % 0.41/1.02 (define @t1570 () (_ @t367 @t4)) % 0.41/1.02 (define @t1571 () (not @t1570)) % 0.41/1.02 (define @t1572 () (or @t1571 @t1569)) % 0.41/1.02 (define @t1573 () (forall @t9 @t1572)) % 0.41/1.02 (define @t1574 () (not @t1573)) % 0.41/1.02 (define @t1575 () (lambda @t150 @t922)) % 0.41/1.02 (define @t1576 () (_ @t1575 @t367)) % 0.41/1.02 (define @t1577 () (=> @t1576 @t401)) % 0.41/1.02 (define @t1578 () (or @t315 @t918)) % 0.41/1.02 (define @t1579 () (not @t153)) % 0.41/1.02 (define @t1580 () (or @t1579 @t129)) % 0.41/1.02 (define @t1581 () (_ @t145 @t19)) % 0.41/1.02 (define @t1582 () (not @t1581)) % 0.41/1.02 (define @t1583 () (or @t1582 @t129)) % 0.41/1.02 (define @t1584 () (forall @t70 @t1583)) % 0.41/1.02 (define @t1585 () (not @t1584)) % 0.41/1.02 (define @t1586 () (_ @t145 @t4)) % 0.41/1.02 (define @t1587 () (not @t1586)) % 0.41/1.02 (define @t1588 () (or @t1587 @t1585)) % 0.41/1.02 (define @t1589 () (forall @t9 @t1588)) % 0.41/1.02 (define @t1590 () (not @t1589)) % 0.41/1.02 (define @t1591 () (_ @t1575 @t145)) % 0.41/1.02 (define @t1592 () (=> @t1591 @t1577)) % 0.41/1.02 (define @t1593 () (not (= @t19 @t19))) % 0.41/1.02 (define @t1594 () (or @t1593 @t899)) % 0.41/1.02 (define @t1595 () (or @t282 @t282 @t1528)) % 0.41/1.02 (define @t1596 () (or @t282 @t1528)) % 0.41/1.02 (define @t1597 () (forall @t9 @t1596)) % 0.41/1.02 (define @t1598 () (forall @t70 @t1597)) % 0.41/1.02 (define @t1599 () (@list @t19 @t4)) % 0.41/1.02 (define @t1600 () (forall @t1599 @t1596)) % 0.41/1.02 (define @t1601 () (=> @t373 @t1592)) % 0.41/1.02 (define @t1602 () (forall @t375 @t1601)) % 0.41/1.02 (define @t1603 () (and @t144 @t917)) % 0.41/1.02 (define @t1604 () (forall @t9 (not @t1603))) % 0.41/1.02 (define @t1605 () (not @t1604)) % 0.41/1.02 (define @t1606 () (=> tptp.descr__Cong @t1536)) % 0.41/1.02 (define @t1607 () (or @t895 (= @t909 @t19))) % 0.41/1.02 (define @t1608 () (forall @t70 @t1607)) % 0.41/1.02 (define @t1609 () (not @t1608)) % 0.41/1.02 (define @t1610 () (or @t910 @t1609 @t908 @t907 @t906)) % 0.41/1.02 (define @t1611 () (or @t908 @t907 @t906)) % 0.41/1.02 (define @t1612 () (or @t910 @t1609)) % 0.41/1.02 (define @t1613 () (or @t1612 @t1611)) % 0.41/1.02 (define @t1614 () (forall @t911 @t1613)) % 0.41/1.02 (define @t1615 () (forall (@list @t909 @t905 @t904) @t1613)) % 0.41/1.02 (define @t1616 () (forall (@list @t905 @t904) @t1611)) % 0.41/1.02 (define @t1617 () (forall (@list @t909) @t1612)) % 0.41/1.02 (define @t1618 () (or @t1617 @t1616)) % 0.41/1.02 (define @t1619 () (or @t315 @t1579 @t129)) % 0.41/1.02 (define @t1620 () (=> @t1591 @t343)) % 0.41/1.02 (define @t1621 () (forall @t150 @t1620)) % 0.41/1.02 (define @t1622 () (=> tptp.exuEu @t1606)) % 0.41/1.02 (define @t1623 () (=> tptp.omega__Cong @t1622)) % 0.41/1.02 (define @t1624 () (tptp.setunion @t1)) % 0.41/1.02 (define @t1625 () (or @t1453 (= @t1624 @t1624))) % 0.41/1.02 (define @t1626 () (= @t985 @t1624)) % 0.41/1.02 (define @t1627 () (or @t442 @t442 @t1626)) % 0.41/1.02 (define @t1628 () (or @t442 @t1626)) % 0.41/1.02 (define @t1629 () (forall @t64 @t1628)) % 0.41/1.02 (define @t1630 () (forall @t41 @t1629)) % 0.41/1.02 (define @t1631 () (forall @t1467 @t1628)) % 0.41/1.02 (define @t1632 () (or @t442 @t395)) % 0.41/1.02 (define @t1633 () (=> tptp.setunion__Cong @t1623)) % 0.41/1.02 (define @t1634 () (or @t1453 (= @t853 @t853))) % 0.41/1.02 (define @t1635 () (= @t797 @t853)) % 0.41/1.02 (define @t1636 () (or @t442 @t442 @t1635)) % 0.41/1.02 (define @t1637 () (or @t442 @t1635)) % 0.41/1.02 (define @t1638 () (forall @t64 @t1637)) % 0.41/1.02 (define @t1639 () (forall @t41 @t1638)) % 0.41/1.02 (define @t1640 () (forall @t1467 @t1637)) % 0.41/1.02 (define @t1641 () (or @t442 @t391)) % 0.41/1.02 (define @t1642 () (=> tptp.powerset__Cong @t1633)) % 0.41/1.02 (define @t1643 () (@var "BOUND_VARIABLE_9907" $$unsorted)) % 0.41/1.02 (define @t1644 () (@list @t19 @t1643)) % 0.41/1.02 (define @t1645 () (tptp.setadjoin @t19 @t1643)) % 0.41/1.02 (define @t1646 () (or @t1593 (= @t1645 @t1645))) % 0.41/1.02 (define @t1647 () (= @t1645 (tptp.setadjoin @t4 @t1643))) % 0.41/1.02 (define @t1648 () (or @t282 @t282 @t1647)) % 0.41/1.02 (define @t1649 () (or @t282 @t1647)) % 0.41/1.02 (define @t1650 () (forall @t9 @t1649)) % 0.41/1.02 (define @t1651 () (forall @t1644 @t1650)) % 0.41/1.02 (define @t1652 () (forall (@list @t19 @t1643 @t4) @t1649)) % 0.41/1.02 (define @t1653 () (forall (@list @t4 @t19 @t1643) @t1649)) % 0.41/1.02 (define @t1654 () (@list @t1643)) % 0.41/1.02 (define @t1655 () (forall @t1654 @t1649)) % 0.41/1.02 (define @t1656 () (forall @t1654 @t1647)) % 0.41/1.02 (define @t1657 () (or @t282 @t1656)) % 0.41/1.02 (define @t1658 () (tptp.setadjoin @t4 @t380)) % 0.41/1.02 (define @t1659 () (tptp.setadjoin @t19 @t380)) % 0.41/1.02 (define @t1660 () (= @t1659 @t1658)) % 0.41/1.02 (define @t1661 () (@list @t380)) % 0.41/1.02 (define @t1662 () (forall @t1661 @t1660)) % 0.41/1.02 (define @t1663 () (not (= @t380 @t380))) % 0.41/1.02 (define @t1664 () (or @t1663 (= @t1658 @t1659))) % 0.41/1.02 (define @t1665 () (tptp.setadjoin @t4 @t289)) % 0.41/1.02 (define @t1666 () (= @t1665 @t1659)) % 0.41/1.02 (define @t1667 () (not @t384)) % 0.41/1.02 (define @t1668 () (or @t1667 @t1667 @t1666)) % 0.41/1.02 (define @t1669 () (or @t1667 @t1666)) % 0.41/1.02 (define @t1670 () (forall @t788 @t1669)) % 0.41/1.02 (define @t1671 () (forall @t1661 @t1670)) % 0.41/1.02 (define @t1672 () (forall (@list @t380 @t289) @t1669)) % 0.41/1.02 (define @t1673 () (or @t1667 @t383)) % 0.41/1.02 (define @t1674 () (=> tptp.setadjoin__Cong @t1642)) % 0.41/1.02 (define @t1675 () (=> tptp.emptyset__Cong @t1674)) % 0.41/1.02 (define @t1676 () (= @t1591 @t1576)) % 0.41/1.02 (define @t1677 () (=> @t373 @t1676)) % 0.41/1.02 (define @t1678 () (forall @t375 @t1677)) % 0.41/1.02 (define @t1679 () (=> tptp.exu__Cong @t1675)) % 0.41/1.02 (define @t1680 () (=> tptp.exuE3u @t1679)) % 0.41/1.02 (define @t1681 () (@var "BOUND_VARIABLE_9780" $$unsorted)) % 0.41/1.02 (define @t1682 () (@list @t1 @t1681)) % 0.41/1.02 (define @t1683 () (tptp.in @t1681 @t1)) % 0.41/1.02 (define @t1684 () (or @t1453 (= @t1683 @t1683))) % 0.41/1.02 (define @t1685 () (= (tptp.in @t1681 @t2) @t1683)) % 0.41/1.02 (define @t1686 () (or @t442 @t442 @t1685)) % 0.41/1.02 (define @t1687 () (or @t442 @t1685)) % 0.41/1.02 (define @t1688 () (forall @t64 @t1687)) % 0.41/1.02 (define @t1689 () (forall @t1682 @t1688)) % 0.41/1.02 (define @t1690 () (forall (@list @t1 @t1681 @t2) @t1687)) % 0.41/1.02 (define @t1691 () (forall (@list @t2 @t1 @t1681) @t1687)) % 0.41/1.02 (define @t1692 () (@list @t1681)) % 0.41/1.02 (define @t1693 () (forall @t1692 @t1687)) % 0.41/1.02 (define @t1694 () (forall @t1692 @t1685)) % 0.41/1.02 (define @t1695 () (or @t442 @t1694)) % 0.41/1.02 (define @t1696 () (= @t1015 @t1529)) % 0.41/1.02 (define @t1697 () (forall @t70 @t1696)) % 0.41/1.02 (define @t1698 () (or @t1593 @t1696)) % 0.41/1.02 (define @t1699 () (= @t794 @t1529)) % 0.41/1.02 (define @t1700 () (or @t282 @t282 @t1699)) % 0.41/1.02 (define @t1701 () (or @t282 @t1699)) % 0.41/1.02 (define @t1702 () (forall @t9 @t1701)) % 0.41/1.02 (define @t1703 () (forall @t70 @t1702)) % 0.41/1.02 (define @t1704 () (forall @t1599 @t1701)) % 0.41/1.02 (define @t1705 () (or @t282 @t357)) % 0.41/1.02 (define @t1706 () (=> tptp.in__Cong @t1680)) % 0.41/1.02 (define @t1707 () (@var "BOUND_VARIABLE_9743" $$unsorted)) % 0.41/1.02 (define @t1708 () (@list @t1 @t1707)) % 0.41/1.02 (define @t1709 () (tptp.in @t1707 @t1)) % 0.41/1.02 (define @t1710 () (not @t1709)) % 0.41/1.02 (define @t1711 () (or @t1710 @t1709)) % 0.41/1.02 (define @t1712 () (or @t1453 @t1710 @t1709)) % 0.41/1.02 (define @t1713 () (not (tptp.in @t1707 @t2))) % 0.41/1.02 (define @t1714 () (or @t442 @t442 @t1713 @t1709)) % 0.41/1.02 (define @t1715 () (or @t442 @t1713 @t1709)) % 0.41/1.02 (define @t1716 () (forall @t64 @t1715)) % 0.41/1.02 (define @t1717 () (forall @t1708 @t1716)) % 0.41/1.02 (define @t1718 () (forall (@list @t1 @t1707 @t2) @t1715)) % 0.41/1.02 (define @t1719 () (@list @t2 @t1 @t1707)) % 0.41/1.02 (define @t1720 () (or @t1713 @t1709)) % 0.41/1.02 (define @t1721 () (or @t442 @t1720)) % 0.41/1.02 (define @t1722 () (forall @t1719 @t1721)) % 0.41/1.02 (define @t1723 () (@list @t1707)) % 0.41/1.02 (define @t1724 () (forall @t1723 @t1721)) % 0.41/1.02 (define @t1725 () (forall @t1723 @t1720)) % 0.41/1.02 (define @t1726 () (or @t442 @t1725)) % 0.41/1.02 (define @t1727 () (or @t1020 @t1529)) % 0.41/1.02 (define @t1728 () (forall @t70 @t1727)) % 0.41/1.02 (define @t1729 () (or @t1593 @t1020 @t1529)) % 0.41/1.02 (define @t1730 () (or @t282 @t282 @t795 @t1529)) % 0.41/1.02 (define @t1731 () (or @t282 @t795 @t1529)) % 0.41/1.02 (define @t1732 () (forall @t9 @t1731)) % 0.41/1.02 (define @t1733 () (forall @t70 @t1732)) % 0.41/1.02 (define @t1734 () (forall @t1599 @t1731)) % 0.41/1.02 (define @t1735 () (or @t282 @t197 @t351)) % 0.41/1.02 (define @t1736 () (=> tptp.inCongP @t1706)) % 0.41/1.02 (define @t1737 () (= @t925 @t19)) % 0.41/1.02 (define @t1738 () (forall @t70 (= @t1737 @t894))) % 0.41/1.02 (define @t1739 () (not @t1738)) % 0.41/1.02 (define @t1740 () (or @t1739 @t922)) % 0.41/1.02 (define @t1741 () (forall @t926 @t1740)) % 0.41/1.02 (define @t1742 () (@list @t925)) % 0.41/1.02 (define @t1743 () (forall @t1742 @t1740)) % 0.41/1.02 (define @t1744 () (forall @t1742 @t1739)) % 0.41/1.02 (define @t1745 () (or @t1744 @t922)) % 0.41/1.02 (define @t1746 () (= @t153 @t129)) % 0.41/1.02 (define @t1747 () (=> @t265 @t1591)) % 0.41/1.02 (define @t1748 () (forall @t150 @t1747)) % 0.41/1.02 (define @t1749 () (=> tptp.exuI2 @t1736)) % 0.41/1.02 (define @t1750 () (@list @t930)) % 0.41/1.02 (define @t1751 () (forall @t1750 @t932)) % 0.41/1.02 (define @t1752 () (forall @t1750 @t931)) % 0.41/1.02 (define @t1753 () (or @t1752 @t929 @t922)) % 0.41/1.02 (define @t1754 () (or @t1049 @t929 @t922)) % 0.41/1.02 (define @t1755 () (=> @t928 @t922)) % 0.41/1.02 (define @t1756 () (=> @t343 @t1591)) % 0.41/1.02 (define @t1757 () (forall @t9 @t315)) % 0.41/1.02 (define @t1758 () (not @t1757)) % 0.41/1.02 (define @t1759 () (=> @t186 @t1756)) % 0.41/1.02 (define @t1760 () (forall @t150 @t1759)) % 0.41/1.02 (define @t1761 () (=> tptp.exuI3 @t1749)) % 0.41/1.02 (define @t1762 () (=> @t169 @t1591)) % 0.41/1.02 (define @t1763 () (forall @t150 @t1762)) % 0.41/1.02 (define @t1764 () (=> tptp.exuI1 @t1761)) % 0.41/1.02 (define @t1765 () (forall @t9 (or @t795 @t919))) % 0.41/1.02 (define @t1766 () (not @t1765)) % 0.41/1.02 (define @t1767 () (or @t197 @t144)) % 0.41/1.02 (define @t1768 () (forall @t9 (not @t316))) % 0.41/1.02 (define @t1769 () (not @t1768)) % 0.41/1.02 (define @t1770 () (=> tptp.notdallE @t1764)) % 0.41/1.02 (define @t1771 () (forall @t9 (or @t795 @t920))) % 0.41/1.02 (define @t1772 () (or @t197 @t315)) % 0.41/1.02 (define @t1773 () (forall @t9 (not @t306))) % 0.41/1.02 (define @t1774 () (not @t1773)) % 0.41/1.02 (define @t1775 () (=> tptp.notdexE @t1770)) % 0.41/1.02 (define @t1776 () (or @t1452 @t936)) % 0.41/1.02 (define @t1777 () (tptp.prop2set @t173)) % 0.41/1.02 (define @t1778 () (tptp.set2prop @t1777)) % 0.41/1.02 (define @t1779 () (not (= @t173 true))) % 0.41/1.02 (define @t1780 () (or @t1328 @t1328 @t1778)) % 0.41/1.02 (define @t1781 () (or @t1328 @t1778)) % 0.41/1.02 (define @t1782 () (or @t1328 @t337)) % 0.41/1.02 (define @t1783 () (=> tptp.prop2set2propI @t1775)) % 0.41/1.02 (define @t1784 () (or @t1452 @t938)) % 0.41/1.02 (define @t1785 () (tptp.in tptp.emptyset @t1777)) % 0.41/1.02 (define @t1786 () (or @t1328 @t1328 @t1785)) % 0.41/1.02 (define @t1787 () (or @t1328 @t1785)) % 0.41/1.02 (define @t1788 () (or @t1328 @t334)) % 0.41/1.02 (define @t1789 () (=> tptp.prop2setI @t1783)) % 0.41/1.02 (define @t1790 () (=> tptp.quantDeMorgan4 @t1789)) % 0.41/1.02 (define @t1791 () (=> tptp.quantDeMorgan3 @t1790)) % 0.41/1.02 (define @t1792 () (=> tptp.quantDeMorgan2 @t1791)) % 0.41/1.02 (define @t1793 () (=> tptp.quantDeMorgan1 @t1792)) % 0.41/1.02 (define @t1794 () (or @t16 @t144)) % 0.41/1.02 (define @t1795 () (=> tptp.vacuousDall @t1793)) % 0.41/1.02 (define @t1796 () (or @t946 @t945)) % 0.41/1.02 (define @t1797 () (or @t1796 @t947)) % 0.41/1.02 (define @t1798 () (forall @t949 @t1797)) % 0.41/1.02 (define @t1799 () (@list @t944)) % 0.41/1.02 (define @t1800 () (forall @t1799 @t1797)) % 0.41/1.02 (define @t1801 () (forall @t1799 @t1796)) % 0.41/1.02 (define @t1802 () (or @t1801 @t947)) % 0.41/1.02 (define @t1803 () (= tptp.emptyset @t1423)) % 0.41/1.02 (define @t1804 () (not @t1803)) % 0.41/1.02 (define @t1805 () (or @t1771 @t1804)) % 0.41/1.02 (define @t1806 () (= tptp.emptyset @t304)) % 0.41/1.02 (define @t1807 () (not @t1806)) % 0.41/1.02 (define @t1808 () (or @t1771 @t1807)) % 0.41/1.02 (define @t1809 () (not @t1771)) % 0.41/1.02 (define @t1810 () (=> tptp.emptyE1 @t1795)) % 0.41/1.02 (define @t1811 () (=> tptp.upairsetIR @t1810)) % 0.41/1.02 (define @t1812 () (=> tptp.upairsetIL @t1811)) % 0.41/1.02 (define @t1813 () (not @t293)) % 0.41/1.02 (define @t1814 () (or @t1813 @t957 @t956)) % 0.41/1.02 (define @t1815 () (or @t957 @t956)) % 0.41/1.02 (define @t1816 () (=> tptp.upairsetE @t1812)) % 0.41/1.02 (define @t1817 () (not @t276)) % 0.41/1.02 (define @t1818 () (or @t1817 @t280)) % 0.41/1.02 (define @t1819 () (=> tptp.singletonsswitch @t1816)) % 0.41/1.02 (define @t1820 () (or @t1593 @t966)) % 0.41/1.02 (define @t1821 () (or @t282 @t282 @t962)) % 0.41/1.02 (define @t1822 () (or @t282 @t962)) % 0.41/1.02 (define @t1823 () (forall @t9 @t1822)) % 0.41/1.02 (define @t1824 () (forall @t70 @t1823)) % 0.41/1.02 (define @t1825 () (forall @t1599 @t1822)) % 0.41/1.02 (define @t1826 () (or @t282 @t276)) % 0.41/1.02 (define @t1827 () (=> tptp.eqinunit @t1819)) % 0.41/1.02 (define @t1828 () (or @t129 @t281)) % 0.41/1.02 (define @t1829 () (=> tptp.notinsingleton @t1827)) % 0.41/1.02 (define @t1830 () (or @t1817 @t129)) % 0.41/1.02 (define @t1831 () (=> tptp.uniqinunit @t1829)) % 0.41/1.02 (define @t1832 () (not @t196)) % 0.41/1.02 (define @t1833 () (not @t198)) % 0.41/1.02 (define @t1834 () (_ @t779 @t2)) % 0.41/1.02 (define @t1835 () (=> @t1834 @t270)) % 0.41/1.02 (define @t1836 () (forall @t64 @t1835)) % 0.41/1.02 (define @t1837 () (=> tptp.nonemptyImpWitness @t1831)) % 0.41/1.02 (define @t1838 () (or @t895 (= @t977 @t19))) % 0.41/1.02 (define @t1839 () (forall @t70 @t1838)) % 0.41/1.02 (define @t1840 () (not @t1839)) % 0.41/1.02 (define @t1841 () (or @t981 @t978 @t1840)) % 0.41/1.02 (define @t1842 () (or @t978 @t1840)) % 0.41/1.02 (define @t1843 () (or @t1842 @t981)) % 0.41/1.02 (define @t1844 () (forall @t982 @t1843)) % 0.41/1.02 (define @t1845 () (@list @t977)) % 0.41/1.02 (define @t1846 () (forall @t1845 @t1843)) % 0.41/1.02 (define @t1847 () (forall @t1845 @t1842)) % 0.41/1.02 (define @t1848 () (or @t1847 @t981)) % 0.41/1.02 (define @t1849 () (=> @t1591 @t265)) % 0.41/1.02 (define @t1850 () (forall @t150 @t1849)) % 0.41/1.02 (define @t1851 () (=> tptp.exuE2 @t1837)) % 0.41/1.02 (define @t1852 () (or @t197 @t260)) % 0.41/1.02 (define @t1853 () (=> tptp.subPowSU @t1851)) % 0.41/1.02 (define @t1854 () (or @t1294 @t993)) % 0.41/1.02 (define @t1855 () (and @t1323 @t993)) % 0.41/1.02 (define @t1856 () (or @t1855 false)) % 0.41/1.02 (define @t1857 () (and @t1328 @t993)) % 0.41/1.02 (define @t1858 () (or @t173 @t1857 @t173)) % 0.41/1.02 (define @t1859 () (or @t1857 @t173)) % 0.41/1.02 (define @t1860 () (or @t173 @t992)) % 0.41/1.02 (define @t1861 () (not @t39)) % 0.41/1.02 (define @t1862 () (or @t434 @t1861)) % 0.41/1.02 (define @t1863 () (forall @t41 @t1862)) % 0.41/1.02 (define @t1864 () (or @t173 @t1863)) % 0.41/1.02 (define @t1865 () (or @t173 @t1862)) % 0.41/1.02 (define @t1866 () (or @t434 @t1861 @t173)) % 0.41/1.02 (define @t1867 () (=> tptp.setunionE @t1853)) % 0.41/1.02 (define @t1868 () (or @t434 @t1861 @t44)) % 0.41/1.02 (define @t1869 () (=> tptp.setunionI @t1867)) % 0.41/1.02 (define @t1870 () (or @t1431 @t434 @t7)) % 0.41/1.02 (define @t1871 () (or @t434 @t7)) % 0.41/1.02 (define @t1872 () (=> tptp.powersetE @t1869)) % 0.41/1.02 (define @t1873 () (=> tptp.emptyInPowerset @t1872)) % 0.41/1.02 (define @t1874 () (=> tptp.emptyinPowerset @t1873)) % 0.41/1.02 (define @t1875 () (or @t1007 @t35)) % 0.41/1.02 (define @t1876 () (=> tptp.powersetI @t1874)) % 0.41/1.02 (define @t1877 () (_ @t155 @t1011)) % 0.41/1.02 (define @t1878 () (= @t2 @t1877)) % 0.41/1.02 (define @t1879 () (=> tptp.setoftrueEq @t1876)) % 0.41/1.02 (define @t1880 () (not @t26)) % 0.41/1.02 (define @t1881 () (or @t1880 @t129 @t21)) % 0.41/1.02 (define @t1882 () (or @t129 @t21)) % 0.41/1.02 (define @t1883 () (=> tptp.setadjoinOr @t1879)) % 0.41/1.02 (define @t1884 () (or @t1880 @t129 @t1015)) % 0.41/1.02 (define @t1885 () (and @t1015 @t1323)) % 0.41/1.02 (define @t1886 () (and @t129 @t1323)) % 0.41/1.02 (define @t1887 () (or @t1886 @t1885)) % 0.41/1.02 (define @t1888 () (or @t1886 @t1885 false)) % 0.41/1.02 (define @t1889 () (and @t1015 @t1328)) % 0.41/1.02 (define @t1890 () (and @t129 @t1328)) % 0.41/1.02 (define @t1891 () (or @t173 @t1890 @t1889 @t173)) % 0.41/1.02 (define @t1892 () (or @t1890 @t1889 @t173)) % 0.41/1.02 (define @t1893 () (and @t21 @t1328)) % 0.41/1.02 (define @t1894 () (or @t1890 @t1893 @t173)) % 0.41/1.02 (define @t1895 () (=> @t129 @t173)) % 0.41/1.02 (define @t1896 () (=> tptp.setadjoinE @t1883)) % 0.41/1.02 (define @t1897 () (not @t21)) % 0.41/1.02 (define @t1898 () (or @t1897 @t26)) % 0.41/1.02 (define @t1899 () (=> tptp.setadjoinIR @t1896)) % 0.41/1.02 (define @t1900 () (=> tptp.emptyinunitempty @t1899)) % 0.41/1.02 (define @t1901 () (=> tptp.setadjoinIL @t1900)) % 0.41/1.02 (define @t1902 () (not @t378)) % 0.41/1.02 (define @t1903 () (or @t1031 @t1902)) % 0.41/1.02 (define @t1904 () (not (tptp.in @t1030 @t2))) % 0.41/1.02 (define @t1905 () (or @t1832 @t1904 @t1832)) % 0.41/1.02 (define @t1906 () (or @t1904 @t1832)) % 0.41/1.02 (define @t1907 () (forall @t64 @t1906)) % 0.41/1.02 (define @t1908 () (forall @t1032 @t1907)) % 0.41/1.02 (define @t1909 () (forall (@list @t1030 @t2) @t1906)) % 0.41/1.02 (define @t1910 () (forall (@list @t2 @t1030) @t1906)) % 0.41/1.02 (define @t1911 () (forall @t1032 @t1906)) % 0.41/1.02 (define @t1912 () (forall @t1032 @t1904)) % 0.41/1.02 (define @t1913 () (or @t1912 @t1832)) % 0.41/1.02 (define @t1914 () (not @t974)) % 0.41/1.02 (define @t1915 () (=> @t89 @t1834)) % 0.41/1.02 (define @t1916 () (forall @t64 @t1915)) % 0.41/1.02 (define @t1917 () (=> tptp.nonemptyI1 @t1901)) % 0.41/1.02 (define @t1918 () (lambda @t70 @t894)) % 0.41/1.02 (define @t1919 () (tptp.dsetconstr @t2 @t1918)) % 0.41/1.02 (define @t1920 () (= tptp.emptyset @t1919)) % 0.41/1.02 (define @t1921 () (not @t1920)) % 0.41/1.02 (define @t1922 () (or @t795 @t920 @t1921)) % 0.41/1.02 (define @t1923 () (= tptp.emptyset @t156)) % 0.41/1.02 (define @t1924 () (not @t1923)) % 0.41/1.02 (define @t1925 () (or @t197 @t315 @t1924)) % 0.41/1.02 (define @t1926 () (=> @t144 @t1924)) % 0.41/1.02 (define @t1927 () (not (= @t156 tptp.emptyset))) % 0.41/1.02 (define @t1928 () (_ @t779 @t156)) % 0.41/1.02 (define @t1929 () (=> @t144 @t1928)) % 0.41/1.02 (define @t1930 () (=> @t7 @t1929)) % 0.41/1.02 (define @t1931 () (forall @t159 @t1930)) % 0.41/1.02 (define @t1932 () (=> tptp.nonemptyI @t1917)) % 0.41/1.02 (define @t1933 () (=> @t1834 @t89)) % 0.41/1.02 (define @t1934 () (forall @t64 @t1933)) % 0.41/1.02 (define @t1935 () (=> tptp.nonemptyE1 @t1932)) % 0.41/1.02 (define @t1936 () (tptp.in @t4 @t1919)) % 0.41/1.02 (define @t1937 () (= @t919 @t1936)) % 0.41/1.02 (define @t1938 () (or @t795 @t1937)) % 0.41/1.02 (define @t1939 () (= @t144 @t157)) % 0.41/1.02 (define @t1940 () (or @t197 @t1939)) % 0.41/1.02 (define @t1941 () (=> tptp.setbeta @t1935)) % 0.41/1.02 (define @t1942 () (=> tptp.noeltsimpempty @t1941)) % 0.41/1.02 (define @t1943 () (=> tptp.emptyI @t1942)) % 0.41/1.02 (define @t1944 () (=> @t1006 @t3)) % 0.41/1.02 (define @t1945 () (=> tptp.setext @t1943)) % 0.41/1.02 (define @t1946 () (or @t895 (= @t1047 @t19))) % 0.41/1.02 (define @t1947 () (forall @t70 @t1946)) % 0.41/1.02 (define @t1948 () (not @t1947)) % 0.41/1.02 (define @t1949 () (or @t1050 @t1048 @t1948)) % 0.41/1.02 (define @t1950 () (or @t1048 @t1948)) % 0.41/1.02 (define @t1951 () (or @t1950 @t1050)) % 0.41/1.02 (define @t1952 () (forall @t1051 @t1951)) % 0.41/1.02 (define @t1953 () (@list @t1047)) % 0.41/1.02 (define @t1954 () (forall @t1953 @t1951)) % 0.41/1.02 (define @t1955 () (forall @t1953 @t1950)) % 0.41/1.02 (define @t1956 () (or @t1955 @t1050)) % 0.41/1.02 (define @t1957 () (=> @t1591 @t186)) % 0.41/1.02 (define @t1958 () (forall @t150 @t1957)) % 0.41/1.02 (define @t1959 () (=> tptp.exuE3e @t1945)) % 0.41/1.02 (define @t1960 () (=> tptp.notinemptyset @t1959)) % 0.41/1.02 (define @t1961 () (=> tptp.emptysetimpfalse @t1960)) % 0.41/1.02 (define @t1962 () (or @t173 @t173)) % 0.41/1.02 (define @t1963 () (=> tptp.emptysetE @t1961)) % 0.41/1.02 (define @t1964 () (or @t1058 false)) % 0.41/1.02 (define @t1965 () (tptp.in @t4 @t1777)) % 0.41/1.02 (define @t1966 () (not @t1965)) % 0.41/1.02 (define @t1967 () (or @t173 @t1966 @t173)) % 0.41/1.02 (define @t1968 () (or @t1966 @t173)) % 0.41/1.02 (define @t1969 () (forall @t179 @t1968)) % 0.41/1.02 (define @t1970 () (forall @t9 @t1969)) % 0.41/1.02 (define @t1971 () (forall (@list @t4 @t173) @t1968)) % 0.41/1.02 (define @t1972 () (not @t175)) % 0.41/1.02 (define @t1973 () (or @t1972 @t173)) % 0.41/1.02 (define @t1974 () (=> tptp.prop2setE @t1963)) % 0.41/1.02 (define @t1975 () (=> @t1591 @t169)) % 0.41/1.02 (define @t1976 () (forall @t150 @t1975)) % 0.41/1.02 (define @t1977 () (=> tptp.exuE1 @t1974)) % 0.41/1.02 (define @t1978 () (not @t1936)) % 0.41/1.02 (define @t1979 () (or @t1978 @t919)) % 0.41/1.02 (define @t1980 () (not @t157)) % 0.41/1.02 (define @t1981 () (or @t1980 @t144)) % 0.41/1.02 (define @t1982 () (=> tptp.dsetconstrER @t1977)) % 0.41/1.02 (define @t1983 () (or @t1978 @t794)) % 0.41/1.02 (define @t1984 () (or @t1980 @t7)) % 0.41/1.02 (define @t1985 () (=> tptp.dsetconstrEL @t1982)) % 0.41/1.02 (define @t1986 () (or @t795 @t920 @t1936)) % 0.41/1.02 (define @t1987 () (or @t197 @t315 @t157)) % 0.41/1.02 (define @t1988 () (=> tptp.dsetconstrI @t1985)) % 0.41/1.02 (define @t1989 () (or @t895 (= @t1068 @t19))) % 0.41/1.02 (define @t1990 () (forall @t70 @t1989)) % 0.41/1.02 (define @t1991 () (not @t1990)) % 0.41/1.02 (define @t1992 () (or @t1070 @t1069 @t1991)) % 0.41/1.02 (define @t1993 () (or @t1069 @t1991)) % 0.41/1.02 (define @t1994 () (or @t1993 @t1070)) % 0.41/1.02 (define @t1995 () (forall @t1071 @t1994)) % 0.41/1.02 (define @t1996 () (@list @t1068)) % 0.41/1.02 (define @t1997 () (forall @t1996 @t1994)) % 0.41/1.02 (define @t1998 () (forall @t1996 @t1993)) % 0.41/1.02 (define @t1999 () (or @t1998 @t1070)) % 0.41/1.02 (define @t2000 () (_ @t143 @t1553)) % 0.41/1.02 (define @t2001 () (or @t921 @t2000)) % 0.41/1.02 (define @t2002 () (or @t921 @t147)) % 0.41/1.02 (define @t2003 () (=> @t1591 @t147)) % 0.41/1.02 (define @t2004 () (forall @t150 @t2003)) % 0.41/1.02 (define @t2005 () (=> tptp.descrp @t1988)) % 0.41/1.02 (define @t2006 () (and @t1121 @t1114 @t1110 @t1098)) % 0.41/1.02 (define @t2007 () (forall @t41 (not @t2006))) % 0.41/1.02 (define @t2008 () (not @t2007)) % 0.41/1.02 (define @t2009 () (@list @t1093)) % 0.41/1.02 (define @t2010 () (forall @t2009 @t1097)) % 0.41/1.02 (define @t2011 () (forall @t2009 @t1094)) % 0.41/1.02 (define @t2012 () (or @t1096 @t2011 @t1092)) % 0.41/1.02 (define @t2013 () (forall @t9 @t1089)) % 0.41/1.02 (define @t2014 () (or @t1096 @t2013 @t1092)) % 0.41/1.02 (define @t2015 () (not @t2013)) % 0.41/1.02 (define @t2016 () (and @t1095 @t2015)) % 0.41/1.02 (define @t2017 () (not @t109)) % 0.41/1.02 (define @t2018 () (not @t110)) % 0.41/1.02 (define @t2019 () (or @t2018 @t2017 @t1087 @t1083)) % 0.41/1.02 (define @t2020 () (and @t110 @t109 @t1086 @t1082)) % 0.41/1.02 (define @t2021 () (forall @t112 (not @t2020))) % 0.41/1.02 (define @t2022 () (not @t2021)) % 0.41/1.02 (define @t2023 () (or @t1076 @t1075)) % 0.41/1.02 (define @t2024 () (or @t1079 @t2023 @t1077)) % 0.41/1.02 (define @t2025 () (forall @t1081 @t2024)) % 0.41/1.02 (define @t2026 () (@list @t1074)) % 0.41/1.02 (define @t2027 () (forall @t2026 @t2024)) % 0.41/1.02 (define @t2028 () (forall @t2026 @t2023)) % 0.41/1.02 (define @t2029 () (or @t1079 @t2028 @t1077)) % 0.41/1.02 (define @t2030 () (tptp.in @t19 @t93)) % 0.41/1.02 (define @t2031 () (forall @t70 (or (not @t2030) @t1085))) % 0.41/1.02 (define @t2032 () (not @t100)) % 0.41/1.02 (define @t2033 () (or @t2032 @t2031 @t94)) % 0.41/1.02 (define @t2034 () (or @t2031 @t94)) % 0.41/1.02 (define @t2035 () (not @t97)) % 0.41/1.02 (define @t2036 () (or @t2035 @t96)) % 0.41/1.02 (define @t2037 () (not @t105)) % 0.41/1.02 (define @t2038 () (not @t96)) % 0.41/1.02 (define @t2039 () (or @t2038 @t2037)) % 0.41/1.02 (define @t2040 () (forall @t70 (not @t106))) % 0.41/1.02 (define @t2041 () (not @t2040)) % 0.41/1.02 (define @t2042 () (forall @t9 @t2017)) % 0.41/1.02 (define @t2043 () (not @t2042)) % 0.41/1.02 (define @t2044 () (or @t2017 @t7)) % 0.41/1.02 (define @t2045 () (or @t1102 @t1101)) % 0.41/1.02 (define @t2046 () (or @t1105 @t1104)) % 0.41/1.02 (define @t2047 () (or @t1107 @t1091 @t2046 @t2045)) % 0.41/1.02 (define @t2048 () (forall @t1109 @t2047)) % 0.41/1.02 (define @t2049 () (forall (@list @t1103 @t1100) @t2047)) % 0.41/1.02 (define @t2050 () (forall (@list @t1100) @t2045)) % 0.41/1.02 (define @t2051 () (forall (@list @t1103) @t2046)) % 0.41/1.02 (define @t2052 () (or @t1107 @t1091 @t2051 @t2050)) % 0.41/1.02 (define @t2053 () (tptp.in @t4 @t95)) % 0.41/1.02 (define @t2054 () (forall @t9 (or (not @t2053) @t1088))) % 0.41/1.02 (define @t2055 () (forall @t9 (or @t1089 @t2053))) % 0.41/1.02 (define @t2056 () (not @t124)) % 0.41/1.02 (define @t2057 () (or @t2056 @t2018 @t2055 @t2054)) % 0.41/1.02 (define @t2058 () (or @t2055 @t2054)) % 0.41/1.02 (define @t2059 () (not @t120)) % 0.41/1.02 (define @t2060 () (or @t2059 @t109)) % 0.41/1.02 (define @t2061 () (or @t2017 @t120)) % 0.41/1.02 (define @t2062 () (or @t197 @t1897 @t1113 @t129)) % 0.41/1.02 (define @t2063 () (=> @t1112 @t129)) % 0.41/1.02 (define @t2064 () (or @t2056 @t130)) % 0.41/1.02 (define @t2065 () (or @t1118 @t1117)) % 0.41/1.02 (define @t2066 () (or @t1107 @t2065)) % 0.41/1.02 (define @t2067 () (forall @t1120 @t2066)) % 0.41/1.02 (define @t2068 () (@list @t1116)) % 0.41/1.02 (define @t2069 () (forall @t2068 @t2066)) % 0.41/1.02 (define @t2070 () (forall @t2068 @t2065)) % 0.41/1.02 (define @t2071 () (or @t1107 @t2070)) % 0.41/1.02 (define @t2072 () (or @t2056 @t1095)) % 0.41/1.02 (define @t2073 () (=> tptp.wellorderingAx @t2005)) % 0.41/1.02 (define @t2074 () (@list @t1129)) % 0.41/1.02 (define @t2075 () (forall @t2074 @t1131)) % 0.41/1.02 (define @t2076 () (forall @t2074 @t1130)) % 0.41/1.02 (define @t2077 () (or @t2076 @t1128)) % 0.41/1.02 (define @t2078 () (or @t1861 @t1127)) % 0.41/1.02 (define @t2079 () (and @t39 @t1126)) % 0.41/1.02 (define @t2080 () (forall @t41 (not @t2079))) % 0.41/1.02 (define @t2081 () (not @t2080)) % 0.41/1.02 (define @t2082 () (or @t434 @t197)) % 0.41/1.02 (define @t2083 () (forall @t9 (not @t84))) % 0.41/1.02 (define @t2084 () (not @t2083)) % 0.41/1.02 (define @t2085 () (=> tptp.foundationAx @t2073)) % 0.41/1.02 (define @t2086 () (= @t6 @t1135)) % 0.41/1.02 (define @t2087 () (not @t68)) % 0.41/1.02 (define @t2088 () (or @t1897 @t2087)) % 0.41/1.02 (define @t2089 () (forall @t70 (not @t69))) % 0.41/1.02 (define @t2090 () (not @t2089)) % 0.41/1.02 (define @t2091 () (or @t197 @t1144)) % 0.41/1.02 (define @t2092 () (_ @t75 @t1138)) % 0.41/1.02 (define @t2093 () (not @t2092)) % 0.41/1.02 (define @t2094 () (or @t2093 @t1141)) % 0.41/1.02 (define @t2095 () (not @t76)) % 0.41/1.02 (define @t2096 () (or @t2095 @t1139)) % 0.41/1.02 (define @t2097 () (_ @t77 @t19)) % 0.41/1.02 (define @t2098 () (not @t2097)) % 0.41/1.02 (define @t2099 () (or @t2098 @t1139)) % 0.41/1.02 (define @t2100 () (forall @t70 @t2099)) % 0.41/1.02 (define @t2101 () (not @t2100)) % 0.41/1.02 (define @t2102 () (_ @t77 @t1138)) % 0.41/1.02 (define @t2103 () (not @t2102)) % 0.41/1.02 (define @t2104 () (or @t2103 @t2101)) % 0.41/1.02 (define @t2105 () (forall @t1143 @t2104)) % 0.41/1.02 (define @t2106 () (not @t2105)) % 0.41/1.02 (define @t2107 () (not (_ @t143 @t1138))) % 0.41/1.02 (define @t2108 () (or @t895 (= @t1138 @t19))) % 0.41/1.02 (define @t2109 () (forall @t70 @t2108)) % 0.41/1.02 (define @t2110 () (not @t2109)) % 0.41/1.02 (define @t2111 () (or @t2107 @t2110)) % 0.41/1.02 (define @t2112 () (forall @t1143 @t2111)) % 0.41/1.02 (define @t2113 () (not @t2112)) % 0.41/1.02 (define @t2114 () (=> @t7 (_ @t1575 @t77))) % 0.41/1.02 (define @t2115 () (forall @t9 @t2114)) % 0.41/1.02 (define @t2116 () (=> @t2115 @t74)) % 0.41/1.02 (define @t2117 () (forall @t81 @t2116)) % 0.41/1.02 (define @t2118 () (=> tptp.replAx @t2085)) % 0.41/1.02 (define @t2119 () (or @t1150 @t1149)) % 0.41/1.02 (define @t2120 () (or @t1158 @t1156 @t2119)) % 0.41/1.02 (define @t2121 () (forall @t1160 @t2120)) % 0.41/1.02 (define @t2122 () (@list @t1148)) % 0.41/1.02 (define @t2123 () (forall @t2122 @t2120)) % 0.41/1.02 (define @t2124 () (forall @t2122 @t2119)) % 0.41/1.02 (define @t2125 () (or @t1158 @t1156 @t2124)) % 0.41/1.02 (define @t2126 () (forall @t9 (or @t1154 @t794))) % 0.41/1.02 (define @t2127 () (not @t61)) % 0.41/1.02 (define @t2128 () (or @t2127 @t1156 @t2126)) % 0.41/1.02 (define @t2129 () (and @t61 @t1155)) % 0.41/1.02 (define @t2130 () (not @t54)) % 0.41/1.02 (define @t2131 () (or @t2130 @t7)) % 0.41/1.02 (define @t2132 () (_ tptp.in @t1151)) % 0.41/1.02 (define @t2133 () (or @t2130 @t197 @t58)) % 0.41/1.02 (define @t2134 () (=> tptp.omegaIndAx @t2118)) % 0.41/1.02 (define @t2135 () (or @t2130 @t53)) % 0.41/1.02 (define @t2136 () (=> tptp.omegaSAx @t2134)) % 0.41/1.02 (define @t2137 () (=> tptp.omega0Ax @t2136)) % 0.41/1.02 (define @t2138 () (= @t44 @t993)) % 0.41/1.02 (define @t2139 () (forall @t41 (not @t40))) % 0.41/1.02 (define @t2140 () (not @t2139)) % 0.41/1.02 (define @t2141 () (=> tptp.setunionAx @t2137)) % 0.41/1.02 (define @t2142 () (= @t35 @t1006)) % 0.41/1.02 (define @t2143 () (=> tptp.powersetAx @t2141)) % 0.41/1.02 (define @t2144 () (= @t26 @t1882)) % 0.41/1.02 (define @t2145 () (=> tptp.setadjoinAx @t2143)) % 0.41/1.02 (define @t2146 () (=> tptp.emptysetAx @t2145)) % 0.41/1.02 (define @t2147 () (=> tptp.setextAx @t2146)) % 0.41/1.02 (define @t2148 () (or @t197 @t636)) % 0.41/1.02 (define @t2149 () (@quantifiers_skolemize @t796 1)) % 0.41/1.02 (define @t2150 () (@quantifiers_skolemize @t796 0)) % 0.41/1.02 (define @t2151 () (@quantifiers_skolemize @t796 2)) % 0.41/1.02 (define @t2152 () (tptp.binunion @t2150 @t2149)) % 0.41/1.02 (define @t2153 () (tptp.in (tptp.setadjoin @t2151 tptp.emptyset) (tptp.powerset @t2152))) % 0.41/1.02 (define @t2154 () (tptp.in @t2151 @t2150)) % 0.41/1.02 (define @t2155 () (not @t2154)) % 0.41/1.02 (define @t2156 () (or @t2155 @t2153)) % 0.41/1.02 (define @t2157 () (@list true)) % 0.41/1.02 (define @t2158 () (@list @t2156)) % 0.41/1.02 (define @t2159 () (tptp.in @t2151 @t2152)) % 0.41/1.02 (define @t2160 () (not @t2159)) % 0.41/1.02 (define @t2161 () (or @t2160 @t2153)) % 0.41/1.02 (define @t2162 () (@list true false)) % 0.41/1.02 (define @t2163 () (tptp.subset @t2150 @t2152)) % 0.41/1.02 (define @t2164 () (not @t2163)) % 0.41/1.02 (define @t2165 () (or @t2164 @t2155 @t2159)) % 0.41/1.02 (define @t2166 () (not @t2165)) % 0.41/1.02 (assume @p1 @t14) % 0.41/1.02 (assume @p2 @t18) % 0.41/1.02 (assume @p3 @t30) % 0.41/1.02 (assume @p4 @t38) % 0.41/1.02 (assume @p5 @t48) % 0.41/1.02 (assume @p6 (= tptp.omega0Ax @t50)) % 0.41/1.02 (assume @p7 @t56) % 0.41/1.02 (assume @p8 @t66) % 0.41/1.02 (assume @p9 @t83) % 0.41/1.02 (assume @p10 @t92) % 0.41/1.02 (assume @p11 @t142) % 0.41/1.02 (assume @p12 @t152) % 0.41/1.02 (assume @p13 @t161) % 0.41/1.02 (assume @p14 @t163) % 0.41/1.02 (assume @p15 @t165) % 0.41/1.02 (assume @p16 @t172) % 0.41/1.02 (assume @p17 @t178) % 0.41/1.02 (assume @p18 @t183) % 0.41/1.02 (assume @p19 @t185) % 0.41/1.02 (assume @p20 (= tptp.notinemptyset @t17)) % 0.41/1.02 (assume @p21 @t189) % 0.41/1.02 (assume @p22 @t195) % 0.41/1.02 (assume @p23 @t201) % 0.41/1.02 (assume @p24 (= tptp.noeltsimpempty @t200)) % 0.41/1.02 (assume @p25 @t204) % 0.41/1.02 (assume @p26 @t208) % 0.41/1.02 (assume @p27 @t212) % 0.41/1.02 (assume @p28 @t215) % 0.41/1.02 (assume @p29 @t219) % 0.41/1.02 (assume @p30 (= tptp.emptyinunitempty @t221)) % 0.41/1.02 (assume @p31 @t223) % 0.41/1.02 (assume @p32 @t231) % 0.41/1.02 (assume @p33 @t234) % 0.41/1.02 (assume @p34 @t238) % 0.41/1.02 (assume @p35 @t241) % 0.41/1.02 (assume @p36 @t244) % 0.41/1.02 (assume @p37 (= tptp.emptyInPowerset @t243)) % 0.41/1.02 (assume @p38 @t247) % 0.41/1.02 (assume @p39 @t251) % 0.41/1.02 (assume @p40 @t258) % 0.41/1.02 (assume @p41 @t262) % 0.41/1.02 (assume @p42 @t268) % 0.41/1.02 (assume @p43 @t273) % 0.41/1.02 (assume @p44 @t278) % 0.41/1.02 (assume @p45 @t284) % 0.41/1.02 (assume @p46 @t286) % 0.41/1.02 (assume @p47 @t288) % 0.41/1.02 (assume @p48 @t297) % 0.41/1.02 (assume @p49 @t300) % 0.41/1.02 (assume @p50 @t303) % 0.41/1.02 (assume @p51 @t311) % 0.41/1.02 (assume @p52 @t314) % 0.41/1.02 (assume @p53 @t322) % 0.41/1.02 (assume @p54 @t327) % 0.41/1.02 (assume @p55 @t330) % 0.41/1.02 (assume @p56 @t333) % 0.41/1.02 (assume @p57 @t336) % 0.41/1.02 (assume @p58 @t339) % 0.41/1.02 (assume @p59 (= tptp.notdexE @t329)) % 0.41/1.02 (assume @p60 (= tptp.notdallE @t321)) % 0.41/1.02 (assume @p61 @t342) % 0.41/1.02 (assume @p62 @t347) % 0.41/1.02 (assume @p63 @t350) % 0.41/1.02 (assume @p64 @t356) % 0.41/1.02 (assume @p65 @t361) % 0.41/1.02 (assume @p66 @t364) % 0.41/1.02 (assume @p67 @t377) % 0.41/1.02 (assume @p68 @t379) % 0.41/1.02 (assume @p69 @t389) % 0.41/1.02 (assume @p70 @t393) % 0.41/1.02 (assume @p71 @t397) % 0.41/1.02 (assume @p72 @t398) % 0.41/1.02 (assume @p73 @t399) % 0.41/1.02 (assume @p74 @t406) % 0.41/1.02 (assume @p75 @t417) % 0.41/1.02 (assume @p76 @t422) % 0.41/1.02 (assume @p77 @t426) % 0.41/1.02 (assume @p78 @t428) % 0.41/1.02 (assume @p79 (= tptp.subsetI2 @t421)) % 0.41/1.02 (assume @p80 @t431) % 0.41/1.02 (assume @p81 @t433) % 0.41/1.02 (assume @p82 @t437) % 0.41/1.02 (assume @p83 @t441) % 0.41/1.02 (assume @p84 @t444) % 0.41/1.02 (assume @p85 @t447) % 0.41/1.02 (assume @p86 @t450) % 0.41/1.02 (assume @p87 @t456) % 0.41/1.02 (assume @p88 @t460) % 0.41/1.02 (assume @p89 @t464) % 0.41/1.02 (assume @p90 @t468) % 0.41/1.02 (assume @p91 @t471) % 0.41/1.02 (assume @p92 @t474) % 0.41/1.02 (assume @p93 @t476) % 0.41/1.02 (assume @p94 @t478) % 0.41/1.02 (assume @p95 @t481) % 0.41/1.02 (assume @p96 @t484) % 0.41/1.02 (assume @p97 @t487) % 0.41/1.02 (assume @p98 @t490) % 0.41/1.02 (assume @p99 @t494) % 0.41/1.02 (assume @p100 (= tptp.upairset2IR @t302)) % 0.41/1.02 (assume @p101 @t496) % 0.41/1.02 (assume @p102 @t503) % 0.41/1.02 (assume @p103 @t506) % 0.41/1.02 (assume @p104 @t509) % 0.41/1.02 (assume @p105 @t512) % 0.41/1.02 (assume @p106 @t518) % 0.41/1.02 (assume @p107 @t525) % 0.41/1.02 (assume @p108 @t527) % 0.41/1.02 (assume @p109 @t531) % 0.41/1.02 (assume @p110 @t535) % 0.41/1.02 (assume @p111 @t539) % 0.41/1.02 (assume @p112 @t541) % 0.41/1.02 (assume @p113 @t547) % 0.41/1.02 (assume @p114 @t550) % 0.41/1.02 (assume @p115 @t553) % 0.41/1.02 (assume @p116 @t556) % 0.41/1.02 (assume @p117 @t563) % 0.41/1.02 (assume @p118 @t568) % 0.41/1.02 (assume @p119 @t570) % 0.41/1.02 (assume @p120 @t572) % 0.41/1.02 (assume @p121 @t576) % 0.41/1.02 (assume @p122 @t579) % 0.41/1.02 (assume @p123 @t581) % 0.41/1.02 (assume @p124 @t583) % 0.41/1.02 (assume @p125 @t585) % 0.41/1.02 (assume @p126 @t588) % 0.41/1.02 (assume @p127 @t591) % 0.41/1.02 (assume @p128 @t601) % 0.41/1.02 (assume @p129 @t604) % 0.41/1.02 (assume @p130 @t607) % 0.41/1.02 (assume @p131 @t611) % 0.41/1.02 (assume @p132 @t614) % 0.41/1.02 (assume @p133 (= tptp.secondinupair @t302)) % 0.41/1.02 (assume @p134 @t620) % 0.41/1.02 (assume @p135 @t623) % 0.41/1.02 (assume @p136 @t625) % 0.41/1.02 (assume @p137 @t627) % 0.41/1.02 (assume @p138 @t630) % 0.41/1.02 (assume @p139 @t634) % 0.41/1.02 (assume @p140 @t777) % 0.41/1.02 (assume @p141 true) % 0.41/1.02 (step @p142 (= tptp.exu @t778) :rule refl :args (@t778)) % 0.41/1.02 (step @p143 (= tptp.nonempty @t779) :rule refl :args (@t779)) % 0.41/1.02 (step @p144 (= tptp.iskpair @t786) :rule refl :args (@t786)) % 0.41/1.02 (step @p145 (= tptp.kpair @t787) :rule refl :args (@t787)) % 0.41/1.02 (step @p146 (= tptp.cartprod @t789) :rule refl :args (@t789)) % 0.41/1.02 (step @p147 :rule refl :args (@t934)) % 0.41/1.02 (step @p148 :rule skolem_intro :args ((@purify true))) % 0.41/1.02 (step @p149 :rule symm :premises (@p148)) % 0.41/1.02 (step @p150 :rule cong :premises (@p149) :args (@t935)) % 0.41/1.02 (step @p151 :rule cong :premises (@p150) :args (@t936)) % 0.41/1.02 (step @p152 :rule cong :premises (@p151 @p147) :args (@t937)) % 0.41/1.02 (step @p153 :rule refl :args (tptp.emptyset)) % 0.41/1.02 (step @p154 :rule cong :premises (@p153 @p150) :args (@t938)) % 0.41/1.02 (step @p155 :rule cong :premises (@p154 @p152) :args (@t939)) % 0.41/1.02 (step @p156 :rule refl :args (@t942)) % 0.41/1.02 (step @p157 :rule cong :premises (@p156 @p155) :args (@t943)) % 0.41/1.02 (step @p158 :rule refl :args (@t950)) % 0.41/1.02 (step @p159 :rule cong :premises (@p158 @p157) :args (@t951)) % 0.41/1.02 (step @p160 :rule refl :args (@t814)) % 0.41/1.02 (step @p161 :rule cong :premises (@p160 @p159) :args (@t952)) % 0.41/1.02 (step @p162 :rule refl :args (@t954)) % 0.41/1.02 (step @p163 :rule cong :premises (@p162 @p161) :args (@t955)) % 0.41/1.02 (step @p164 :rule refl :args (@t959)) % 0.41/1.02 (step @p165 :rule cong :premises (@p164 @p163) :args (@t960)) % 0.41/1.02 (step @p166 :rule refl :args (@t964)) % 0.41/1.02 (step @p167 :rule cong :premises (@p166 @p165) :args (@t965)) % 0.41/1.02 (step @p168 :rule refl :args (@t967)) % 0.41/1.02 (step @p169 :rule cong :premises (@p168 @p167) :args (@t968)) % 0.41/1.02 (step @p170 :rule refl :args (@t969)) % 0.41/1.02 (step @p171 :rule cong :premises (@p170 @p169) :args (@t970)) % 0.41/1.02 (step @p172 :rule refl :args (@t971)) % 0.41/1.02 (step @p173 :rule cong :premises (@p172 @p171) :args (@t972)) % 0.41/1.02 (step @p174 :rule refl :args (@t975)) % 0.41/1.02 (step @p175 :rule cong :premises (@p174 @p173) :args (@t976)) % 0.41/1.02 (step @p176 :rule refl :args (@t983)) % 0.41/1.02 (step @p177 :rule cong :premises (@p176 @p175) :args (@t984)) % 0.41/1.02 (step @p178 :rule refl :args (@t988)) % 0.41/1.02 (step @p179 :rule cong :premises (@p178 @p177) :args (@t989)) % 0.41/1.02 (step @p180 :rule refl :args (@t996)) % 0.41/1.02 (step @p181 :rule cong :premises (@p180 @p179) :args (@t997)) % 0.41/1.02 (step @p182 :rule refl :args (@t998)) % 0.41/1.02 (step @p183 :rule cong :premises (@p182 @p181) :args (@t999)) % 0.41/1.02 (step @p184 :rule refl :args (@t1000)) % 0.41/1.02 (step @p185 :rule cong :premises (@p184 @p183) :args (@t1001)) % 0.41/1.02 (step @p186 :rule refl :args (@t1003)) % 0.41/1.02 (step @p187 :rule cong :premises (@p186 @p185) :args (@t1004)) % 0.41/1.02 (step @p188 :rule cong :premises (@p186 @p187) :args (@t1005)) % 0.41/1.02 (step @p189 :rule refl :args (@t1008)) % 0.41/1.02 (step @p190 :rule cong :premises (@p189 @p188) :args (@t1009)) % 0.41/1.02 (step @p191 :rule refl :args (@t1013)) % 0.41/1.02 (step @p192 :rule cong :premises (@p191 @p190) :args (@t1014)) % 0.41/1.02 (step @p193 :rule refl :args (@t1017)) % 0.41/1.02 (step @p194 :rule cong :premises (@p193 @p192) :args (@t1018)) % 0.41/1.02 (step @p195 :rule cong :premises (@p193 @p194) :args (@t1019)) % 0.41/1.02 (step @p196 :rule refl :args (@t1021)) % 0.41/1.02 (step @p197 :rule cong :premises (@p196 @p195) :args (@t1022)) % 0.41/1.02 (step @p198 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 0.41/1.02 (step @p199 :rule refl :args (@t1023)) % 0.41/1.02 (step @p200 :rule refl :args (tptp.emptyset)) % 0.41/1.02 (step @p201 :rule cong :premises (@p200 @p199) :args (@t1024)) % 0.41/1.02 (step @p202 :rule trans :premises (@p201 @p198)) % 0.41/1.02 (step @p203 :rule refl :args (@t49)) % 0.41/1.02 (step @p204 :rule ho_cong :premises (@p203 @p199)) % 0.41/1.02 (step @p205 :rule cong :premises (@p204 @p202) :args ((= (_ @t49 @t1023) @t1024))) % 0.41/1.02 (step @p206 :rule symm :premises (@p205)) % 0.41/1.02 (step @p207 :rule refl :args (@t221)) % 0.41/1.02 (step @p208 :rule eq_resolve :premises (@p207 @p206)) % 0.41/1.02 (step @p209 :rule refl :args (@t220)) % 0.41/1.02 (step @p210 :rule cong :premises (@p209 @p199) :args ((= @t220 @t1023))) % 0.41/1.02 (step @p211 :rule symm :premises (@p210)) % 0.41/1.02 (step @p212 :rule eq_resolve :premises (@p209 @p211)) % 0.41/1.02 (step @p213 :rule refl :args (@t49)) % 0.41/1.02 (step @p214 :rule ho_cong :premises (@p213 @p212)) % 0.41/1.02 (step @p215 :rule trans :premises (@p214 @p208)) % 0.41/1.02 (step @p216 :rule cong :premises (@p215 @p197) :args (@t1025)) % 0.41/1.02 (step @p217 :rule refl :args (@t1028)) % 0.41/1.02 (step @p218 :rule cong :premises (@p217 @p216) :args (@t1029)) % 0.41/1.02 (step @p219 :rule refl :args (@t1033)) % 0.41/1.02 (step @p220 :rule cong :premises (@p219 @p218) :args (@t1034)) % 0.41/1.02 (step @p221 :rule refl :args (@t1035)) % 0.41/1.02 (step @p222 :rule cong :premises (@p221 @p220) :args (@t1036)) % 0.41/1.02 (step @p223 :rule cong :premises (@p174 @p222) :args (@t1037)) % 0.41/1.02 (step @p224 :rule refl :args (@t1039)) % 0.41/1.02 (step @p225 :rule cong :premises (@p224 @p223) :args (@t1040)) % 0.41/1.02 (step @p226 :rule refl :args (@t1041)) % 0.41/1.02 (step @p227 :rule cong :premises (@p226 @p225) :args (@t1042)) % 0.41/1.02 (step @p228 :rule cong :premises (@p226 @p227) :args (@t1043)) % 0.41/1.02 (step @p229 :rule refl :args (@t1045)) % 0.41/1.02 (step @p230 :rule cong :premises (@p229 @p228) :args (@t1046)) % 0.41/1.02 (step @p231 :rule refl :args (@t1052)) % 0.41/1.02 (step @p232 :rule cong :premises (@p231 @p230) :args (@t1053)) % 0.41/1.02 (step @p233 :rule refl :args (@t1054)) % 0.41/1.02 (step @p234 :rule cong :premises (@p233 @p232) :args (@t1055)) % 0.41/1.02 (step @p235 :rule cong :premises (@p233 @p234) :args (@t1056)) % 0.41/1.02 (step @p236 :rule cong :premises (@p233 @p235) :args (@t1057)) % 0.41/1.02 (step @p237 :rule refl :args (@t1059)) % 0.41/1.02 (step @p238 :rule cong :premises (@p237 @p236) :args (@t1060)) % 0.41/1.02 (step @p239 :rule refl :args (@t1062)) % 0.41/1.02 (step @p240 :rule cong :premises (@p239 @p238) :args (@t1063)) % 0.41/1.02 (step @p241 :rule refl :args (@t1064)) % 0.41/1.02 (step @p242 :rule cong :premises (@p241 @p240) :args (@t1065)) % 0.41/1.02 (step @p243 :rule refl :args (@t1066)) % 0.41/1.02 (step @p244 :rule cong :premises (@p243 @p242) :args (@t1067)) % 0.41/1.02 (step @p245 :rule refl :args (@t1072)) % 0.41/1.02 (step @p246 :rule cong :premises (@p245 @p244) :args (@t1073)) % 0.41/1.02 (step @p247 :rule refl :args (@t1124)) % 0.41/1.02 (step @p248 :rule cong :premises (@p247 @p246) :args (@t1125)) % 0.41/1.02 (step @p249 :rule refl :args (@t1132)) % 0.41/1.02 (step @p250 :rule cong :premises (@p249 @p248) :args (@t1133)) % 0.41/1.02 (step @p251 :rule refl :args (@t1146)) % 0.41/1.02 (step @p252 :rule cong :premises (@p251 @p250) :args (@t1147)) % 0.41/1.02 (step @p253 :rule refl :args (@t1161)) % 0.41/1.02 (step @p254 :rule cong :premises (@p253 @p252) :args (@t1162)) % 0.41/1.02 (step @p255 :rule refl :args (@t1164)) % 0.41/1.02 (step @p256 :rule cong :premises (@p255 @p254) :args (@t1165)) % 0.41/1.02 (step @p257 :rule refl :args (@t1166)) % 0.41/1.02 (step @p258 :rule refl :args (@t50)) % 0.41/1.02 (step @p259 :rule cong :premises (@p258 @p257) :args ((= @t50 @t1166))) % 0.41/1.02 (step @p260 :rule symm :premises (@p259)) % 0.41/1.02 (step @p261 :rule eq_resolve :premises (@p258 @p260)) % 0.41/1.02 (step @p262 :rule cong :premises (@p261 @p256) :args (@t1167)) % 0.41/1.02 (step @p263 :rule refl :args (@t1168)) % 0.41/1.02 (step @p264 :rule cong :premises (@p263 @p262) :args (@t1169)) % 0.41/1.02 (step @p265 :rule refl :args (@t1170)) % 0.41/1.02 (step @p266 :rule cong :premises (@p265 @p264) :args (@t1171)) % 0.41/1.02 (step @p267 :rule refl :args (@t1173)) % 0.41/1.02 (step @p268 :rule cong :premises (@p267 @p266) :args (@t1174)) % 0.41/1.02 (step @p269 :rule cong :premises (@p233 @p268) :args (@t1175)) % 0.41/1.02 (step @p270 :rule refl :args (@t1177)) % 0.41/1.02 (step @p271 :rule cong :premises (@p270 @p269) :args (@t1178)) % 0.41/1.02 (step @p272 :rule cong :premises (@p271) :args ((not @t1178))) % 0.41/1.02 (step @p273 :rule bool-impl-true2 :args (@t867)) % 0.41/1.02 (step @p274 :rule refl :args (@t869)) % 0.41/1.02 (step @p275 :rule cong :premises (@p274 @p273) :args (@t1179)) % 0.41/1.02 (step @p276 :rule refl :args (@t870)) % 0.41/1.02 (step @p277 :rule cong :premises (@p276 @p275) :args (@t1180)) % 0.41/1.02 (step @p278 :rule refl :args (@t871)) % 0.41/1.02 (step @p279 :rule cong :premises (@p278 @p277) :args (@t1181)) % 0.41/1.02 (step @p280 :rule refl :args (@t872)) % 0.41/1.02 (step @p281 :rule cong :premises (@p280 @p279) :args (@t1182)) % 0.41/1.02 (step @p282 :rule refl :args (@t874)) % 0.41/1.02 (step @p283 :rule cong :premises (@p282 @p281) :args (@t1183)) % 0.41/1.02 (step @p284 :rule refl :args (@t877)) % 0.41/1.02 (step @p285 :rule cong :premises (@p284 @p283) :args (@t1184)) % 0.41/1.02 (step @p286 :rule cong :premises (@p274 @p285) :args (@t1185)) % 0.41/1.02 (step @p287 :rule cong :premises (@p274 @p286) :args (@t1186)) % 0.41/1.02 (step @p288 :rule cong :premises (@p284 @p287) :args (@t1187)) % 0.41/1.02 (step @p289 :rule refl :args (@t888)) % 0.41/1.02 (step @p290 :rule cong :premises (@p289 @p288) :args (@t1188)) % 0.41/1.02 (step @p291 :rule refl :args (@t903)) % 0.41/1.02 (step @p292 :rule cong :premises (@p291 @p290) :args (@t1189)) % 0.41/1.02 (step @p293 :rule refl :args (@t912)) % 0.41/1.02 (step @p294 :rule cong :premises (@p293 @p292) :args (@t1190)) % 0.41/1.02 (step @p295 :rule bool-impl-true2 :args (@t1190)) % 0.41/1.02 (step @p296 :rule trans :premises (@p295 @p294)) % 0.41/1.02 (step @p297 :rule bool-impl-true2 :args (@t1190)) % 0.41/1.02 (step @p298 :rule refl :args (true)) % 0.41/1.02 (step @p299 :rule cong :premises (@p298 @p297) :args (@t1191)) % 0.41/1.02 (step @p300 :rule trans :premises (@p299 @p296)) % 0.41/1.02 (step @p301 :rule cong :premises (@p298 @p297) :args (@t1191)) % 0.41/1.02 (step @p302 :rule cong :premises (@p298 @p301) :args (@t1192)) % 0.41/1.02 (step @p303 :rule trans :premises (@p302 @p300)) 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0.41/1.02 (step @p319 :rule cong :premises (@p318 @p317) :args (@t1198)) % 0.41/1.02 (step @p320 :rule refl :args (@t933)) % 0.41/1.02 (step @p321 :rule cong :premises (@p320 @p319) :args (@t1199)) % 0.41/1.02 (step @p322 :rule bool-impl-true2 :args (@t1199)) % 0.41/1.02 (step @p323 :rule trans :premises (@p322 @p321)) % 0.41/1.02 (step @p324 :rule bool-impl-true2 :args (@t1199)) % 0.41/1.02 (step @p325 :rule cong :premises (@p298 @p324) :args (@t1200)) % 0.41/1.02 (step @p326 :rule trans :premises (@p325 @p323)) % 0.41/1.02 (step @p327 :rule cong :premises (@p298 @p324) :args (@t1200)) % 0.41/1.02 (step @p328 :rule cong :premises (@p298 @p327) :args (@t1201)) % 0.41/1.02 (step @p329 :rule trans :premises (@p328 @p326)) % 0.41/1.02 (step @p330 :rule refl :args (@t936)) % 0.41/1.02 (step @p331 :rule cong :premises (@p330 @p329) :args (@t1202)) % 0.41/1.02 (step @p332 :rule refl :args (@t938)) % 0.41/1.02 (step @p333 :rule cong :premises (@p332 @p331) :args (@t1203)) % 0.41/1.02 (step 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(@p4603)) % 0.41/1.03 (step @p4605 :rule not_implies_elim2 :premises (@p4604)) % 0.41/1.03 (step @p4606 :rule not_implies_elim2 :premises (@p4605)) % 0.41/1.03 (step @p4607 :rule not_implies_elim2 :premises (@p4606)) % 0.41/1.03 (step @p4608 :rule not_implies_elim2 :premises (@p4607)) % 0.41/1.03 (step @p4609 :rule not_implies_elim2 :premises (@p4608)) % 0.41/1.03 (step @p4610 :rule not_implies_elim2 :premises (@p4609)) % 0.41/1.03 (step @p4611 :rule not_implies_elim2 :premises (@p4610)) % 0.41/1.03 (step @p4612 :rule not_implies_elim1 :premises (@p4611)) % 0.41/1.03 (step @p4613 :rule instantiate :premises (@p4612) :args ((@list @t2150 @t2149))) % 0.41/1.03 (step @p4614 :rule not_implies_elim2 :premises (@p4611)) % 0.41/1.03 (step @p4615 :rule not_implies_elim2 :premises (@p4614)) % 0.41/1.03 (step @p4616 :rule not_implies_elim2 :premises (@p4615)) % 0.41/1.03 (step @p4617 :rule not_implies_elim2 :premises (@p4616)) % 0.41/1.03 (step @p4618 :rule not_implies_elim2 :premises (@p4617)) % 0.41/1.03 (step @p4619 :rule not_implies_elim2 :premises (@p4618)) % 0.41/1.03 (step @p4620 :rule not_implies_elim2 :premises (@p4619)) % 0.41/1.03 (step @p4621 :rule not_implies_elim2 :premises (@p4620)) % 0.41/1.03 (step @p4622 :rule not_implies_elim2 :premises (@p4621)) % 0.41/1.03 (step @p4623 :rule not_implies_elim2 :premises (@p4622)) % 0.41/1.03 (step @p4624 :rule not_implies_elim2 :premises (@p4623)) % 0.41/1.03 (step @p4625 :rule not_implies_elim2 :premises (@p4624)) % 0.41/1.03 (step @p4626 :rule not_implies_elim2 :premises (@p4625)) % 0.41/1.03 (step @p4627 :rule not_implies_elim2 :premises (@p4626)) % 0.41/1.03 (step @p4628 :rule not_implies_elim2 :premises (@p4627)) % 0.41/1.03 (step @p4629 :rule not_implies_elim2 :premises (@p4628)) % 0.41/1.03 (step @p4630 :rule not_implies_elim2 :premises (@p4629)) % 0.41/1.03 (step @p4631 :rule not_implies_elim2 :premises (@p4630)) % 0.41/1.03 (step @p4632 :rule not_implies_elim2 :premises (@p4631)) % 0.41/1.03 (step @p4633 :rule not_implies_elim2 :premises (@p4632)) % 0.41/1.03 (step @p4634 :rule not_implies_elim2 :premises (@p4633)) % 0.41/1.03 (step @p4635 :rule not_implies_elim2 :premises (@p4634)) % 0.41/1.03 (step @p4636 :rule not_implies_elim2 :premises (@p4635)) % 0.41/1.03 (step @p4637 :rule not_implies_elim2 :premises (@p4636)) % 0.41/1.03 (step @p4638 :rule not_implies_elim2 :premises (@p4637)) % 0.41/1.03 (step @p4639 :rule not_implies_elim2 :premises (@p4638)) % 0.41/1.03 (step @p4640 :rule not_implies_elim2 :premises (@p4639)) % 0.41/1.03 (step @p4641 :rule not_implies_elim2 :premises (@p4640)) % 0.41/1.03 (step @p4642 :rule not_implies_elim2 :premises (@p4641)) % 0.41/1.03 (step @p4643 :rule not_implies_elim2 :premises (@p4642)) % 0.41/1.03 (step @p4644 :rule not_implies_elim2 :premises (@p4643)) % 0.41/1.03 (step @p4645 :rule not_implies_elim2 :premises (@p4644)) % 0.41/1.03 (step @p4646 :rule not_implies_elim2 :premises (@p4645)) % 0.41/1.03 (step @p4647 :rule not_implies_elim2 :premises (@p4646)) % 0.41/1.03 (step @p4648 :rule not_implies_elim2 :premises (@p4647)) % 0.41/1.03 (step @p4649 :rule not_implies_elim1 :premises (@p4648)) % 0.41/1.03 (step @p4650 :rule instantiate :premises (@p4649) :args ((@list @t2152 @t2151))) % 0.41/1.03 (step @p4651 :rule not_implies_elim2 :premises (@p4648)) % 0.41/1.03 (step @p4652 :rule skolemize :premises (@p4651)) % 0.41/1.03 (step @p4653 :rule cnf_or_neg :args (@t2156 1)) % 0.41/1.03 (step @p4654 :rule chain_m_resolution :premises (@p4653 @p4652) :args ((not @t2153) @t2157 @t2158)) % 0.41/1.03 (step @p4655 :rule cnf_or_pos :args (@t2161)) % 0.41/1.03 (step @p4656 :rule reordering :premises (@p4655) :args ((or @t2153 @t2160 (not @t2161)))) % 0.41/1.03 (step @p4657 :rule chain_m_resolution :premises (@p4656 @p4654 @p4650) :args (@t2160 @t2162 (@list @t2153 @t2161))) % 0.41/1.03 (step @p4658 :rule bool-double-not-elim :args (@t2154)) % 0.41/1.03 (step @p4659 :rule refl :args (@t2156)) % 0.41/1.03 (step @p4660 :rule nary_cong :premises (@p4659 @p4658) :args ((or @t2156 (not @t2155)))) % 0.41/1.03 (step @p4661 :rule cnf_or_neg :args (@t2156 0)) % 0.41/1.03 (step @p4662 :rule eq_resolve :premises (@p4661 @p4660)) % 0.41/1.03 (step @p4663 :rule reordering :premises (@p4662) :args ((or @t2154 @t2156))) % 0.41/1.03 (step @p4664 :rule chain_m_resolution :premises (@p4663 @p4652) :args (@t2154 @t2157 @t2158)) % 0.41/1.03 (step @p4665 :rule cnf_or_pos :args (@t2165)) % 0.41/1.03 (step @p4666 :rule reordering :premises (@p4665) :args ((or @t2155 @t2159 @t2164 @t2166))) % 0.41/1.03 (step @p4667 :rule chain_m_resolution :premises (@p4666 @p4664 @p4657 @p4613) :args (@t2166 (@list false true false) (@list @t2154 @t2159 @t2163))) % 0.41/1.03 (assume-push @p4674 @t872) % 0.41/1.03 (step @p4669 :rule instantiate :premises (@p4589) :args ((@list @t2150 @t2152 @t2151))) % 0.41/1.03 (step-pop @p4675 :rule scope :premises (@p4669)) % 0.41/1.03 (step @p4670 :rule process_scope :premises (@p4675) :args (@t2165)) % 0.41/1.03 (step @p4672 :rule implies_elim :premises (@p4670)) % 0.41/1.03 (step @p4673 false :rule chain_m_resolution :premises (@p4672 @p4667 @p4589) :args (false @t2162 (@list @t2165 @t872))) % 0.41/1.03 ) % 0.41/1.03 % SZS output end Proof % 0.41/1.03 % cvc5 exiting %------------------------------------------------------------------------------