%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU620^1 : 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 08:52:27 AM UTC 2026 % Result : Theorem 0.42s 0.72s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU620^1 : 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 % 0.18/0.35 % Computer : n016.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:43:54 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.57 %----Proving TH0 % 0.42/0.72 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.42/0.72 % SZS status Theorem % 0.42/0.72 % SZS output start Proof % 0.42/0.72 ( % 0.42/0.72 (declare-sort $$unsorted 0) % 0.42/0.72 (declare-const tptp.emptyset $$unsorted) % 0.42/0.72 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.secondinupair Bool) % 0.42/0.72 (declare-const tptp.symdiffIneg2 Bool) % 0.42/0.72 (declare-const tptp.symdiffI2 Bool) % 0.42/0.72 (declare-const tptp.symdiffI1 Bool) % 0.42/0.72 (declare-const tptp.setminusIRneg Bool) % 0.42/0.72 (declare-const tptp.setminusILneg Bool) % 0.42/0.72 (declare-const tptp.setminusERneg Bool) % 0.42/0.72 (declare-const tptp.setminusI Bool) % 0.42/0.72 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.bs114d Bool) % 0.42/0.72 (declare-const tptp.emptyE1 Bool) % 0.42/0.72 (declare-const tptp.inPowerset Bool) % 0.42/0.72 (declare-const tptp.upairsetIR Bool) % 0.42/0.72 (declare-const tptp.setunion__Cong Bool) % 0.42/0.72 (declare-const tptp.powersetE1 Bool) % 0.42/0.72 (declare-const tptp.singletonsswitch Bool) % 0.42/0.72 (declare-const tptp.subset2powerset Bool) % 0.42/0.72 (declare-const tptp.notinsingleton Bool) % 0.42/0.72 (declare-const tptp.subPowSU Bool) % 0.42/0.72 (declare-const tptp.binintersectSubset5 Bool) % 0.42/0.72 (declare-const tptp.exuE1 Bool) % 0.42/0.72 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.setunionI Bool) % 0.42/0.72 (declare-const tptp.notdexE Bool) % 0.42/0.72 (declare-const tptp.powersetE Bool) % 0.42/0.72 (declare-const tptp.omegaSAx Bool) % 0.42/0.72 (declare-const tptp.setadjoinE Bool) % 0.42/0.72 (declare-const tptp.emptyinunitempty Bool) % 0.42/0.72 (declare-const tptp.setminusEL Bool) % 0.42/0.72 (declare-const tptp.descr__Cong Bool) % 0.42/0.72 (declare-const tptp.nonemptyI1 Bool) % 0.42/0.72 (declare-const tptp.emptysetAx Bool) % 0.42/0.72 (declare-const tptp.nonemptyI Bool) % 0.42/0.72 (declare-const tptp.upairsetIL Bool) % 0.42/0.72 (declare-const tptp.powersetI1 Bool) % 0.42/0.72 (declare-const tptp.eqinunit Bool) % 0.42/0.72 (declare-const tptp.noeltsimpempty Bool) % 0.42/0.72 (declare-const tptp.upairsetE Bool) % 0.42/0.72 (declare-const tptp.replAx Bool) % 0.42/0.72 (declare-const tptp.powersetI Bool) % 0.42/0.72 (declare-const tptp.setukpairIR Bool) % 0.42/0.72 (declare-const tptp.quantDeMorgan4 Bool) % 0.42/0.72 (declare-const tptp.setunionE Bool) % 0.42/0.72 (declare-const tptp.omegaIndAx Bool) % 0.42/0.72 (declare-const tptp.setunionAx Bool) % 0.42/0.72 (declare-const tptp.setoftrueEq Bool) % 0.42/0.72 (declare-const tptp.foundationAx Bool) % 0.42/0.72 (declare-const tptp.emptysetimpfalse Bool) % 0.42/0.72 (declare-const tptp.setminusELneg Bool) % 0.42/0.72 (declare-const tptp.powersetAx Bool) % 0.42/0.72 (declare-const tptp.setminusLsub Bool) % 0.42/0.72 (declare-const tptp.eqimpsubset2 Bool) % 0.42/0.72 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.emptyI Bool) % 0.42/0.72 (declare-const tptp.subsetemptysetimpeq Bool) % 0.42/0.72 (declare-const tptp.setminusER Bool) % 0.42/0.72 (declare-const tptp.setadjoinAx Bool) % 0.42/0.72 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.omega $$unsorted) % 0.42/0.72 (declare-const tptp.emptyInPowerset Bool) % 0.42/0.72 (declare-const tptp.eqimpsubset1 Bool) % 0.42/0.72 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.42/0.72 (declare-const tptp.binunionE Bool) % 0.42/0.72 (declare-const tptp.dsetconstrER Bool) % 0.42/0.72 (declare-const tptp.notdallE Bool) % 0.42/0.72 (declare-const tptp.binunionRsub Bool) % 0.42/0.72 (declare-const tptp.exuE2 Bool) % 0.42/0.72 (declare-const tptp.notinemptyset Bool) % 0.42/0.72 (declare-const tptp.subsetRefl Bool) % 0.42/0.72 (declare-const tptp.uniqinunit Bool) % 0.42/0.72 (declare-const tptp.exuE3u Bool) % 0.42/0.72 (declare-const tptp.subsetTrans Bool) % 0.42/0.72 (declare-const tptp.wellorderingAx Bool) % 0.42/0.72 (declare-const tptp.setukpairIL Bool) % 0.42/0.72 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.42/0.72 (declare-const tptp.vacuousDall Bool) % 0.42/0.72 (declare-const tptp.sepInPowerset Bool) % 0.42/0.72 (declare-const tptp.nonemptyImpWitness Bool) % 0.42/0.72 (declare-const tptp.binintersectLsub Bool) % 0.42/0.72 (declare-const tptp.setadjoinOr Bool) % 0.42/0.72 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.upairset2IR Bool) % 0.42/0.72 (declare-const tptp.dsetconstrI Bool) % 0.42/0.72 (declare-const tptp.setminusSubset1 Bool) % 0.42/0.72 (declare-const tptp.emptyinPowerset Bool) % 0.42/0.72 (declare-const tptp.kpairiskpair Bool) % 0.42/0.72 (declare-const tptp.prop2setI Bool) % 0.42/0.72 (declare-const tptp.dsetconstrEL Bool) % 0.42/0.72 (declare-const tptp.prop2set2propI Bool) % 0.42/0.72 (declare-const tptp.binunionLsub Bool) % 0.42/0.72 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.42/0.72 (declare-const tptp.exuI2 Bool) % 0.42/0.72 (declare-const tptp.prop2setE Bool) % 0.42/0.72 (declare-const tptp.exuEu Bool) % 0.42/0.72 (declare-const tptp.setadjoinIL Bool) % 0.42/0.72 (declare-const tptp.omega__Cong Bool) % 0.42/0.72 (declare-const tptp.emptysetE Bool) % 0.42/0.72 (declare-const tptp.symdiffIneg1 Bool) % 0.42/0.72 (declare-const tptp.notequalI1 Bool) % 0.42/0.72 (declare-const tptp.quantDeMorgan1 Bool) % 0.42/0.72 (declare-const tptp.setminusSubset2 Bool) % 0.42/0.72 (declare-const tptp.setadjoinIR Bool) % 0.42/0.72 (declare-const tptp.dsetconstr__Cong Bool) % 0.42/0.72 (declare-const tptp.sepSubset Bool) % 0.42/0.72 (declare-const tptp.quantDeMorgan2 Bool) % 0.42/0.72 (declare-const tptp.subsetI1 Bool) % 0.42/0.72 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.subsetE Bool) % 0.42/0.72 (declare-const tptp.exuI3 Bool) % 0.42/0.72 (declare-const tptp.subsetE2 Bool) % 0.42/0.72 (declare-const tptp.inCongP Bool) % 0.42/0.72 (declare-const tptp.in__Cong Bool) % 0.42/0.72 (declare-const tptp.exu__Cong Bool) % 0.42/0.72 (declare-const tptp.exuE3e Bool) % 0.42/0.72 (declare-const tptp.binintersectSubset3 Bool) % 0.42/0.72 (declare-const tptp.setadjoin__Cong Bool) % 0.42/0.72 (declare-const tptp.emptyset__Cong Bool) % 0.42/0.72 (declare-const tptp.binintersectRsub Bool) % 0.42/0.72 (declare-const tptp.nonemptyE1 Bool) % 0.42/0.72 (declare-const tptp.setextAx Bool) % 0.42/0.72 (declare-const tptp.powerset__Cong Bool) % 0.42/0.72 (declare-const tptp.symdiffE Bool) % 0.42/0.72 (declare-const tptp.omega0Ax Bool) % 0.42/0.72 (declare-const tptp.subsetI2 Bool) % 0.42/0.72 (declare-const tptp.emptysetsubset Bool) % 0.42/0.72 (declare-const tptp.notsubsetI Bool) % 0.42/0.72 (declare-const tptp.notequalI2 Bool) % 0.42/0.72 (declare-const tptp.setadjoinSub Bool) % 0.42/0.72 (declare-const tptp.setadjoinSub2 Bool) % 0.42/0.72 (declare-const tptp.disjointsetsI1 Bool) % 0.42/0.72 (declare-const tptp.setextsub Bool) % 0.42/0.72 (declare-const tptp.setbeta Bool) % 0.42/0.72 (declare-const tptp.binintersectSubset4 Bool) % 0.42/0.72 (declare-const tptp.powersetsubset Bool) % 0.42/0.72 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.binunionIL Bool) % 0.42/0.72 (declare-const tptp.binunionIR Bool) % 0.42/0.72 (declare-const tptp.descrp Bool) % 0.42/0.72 (declare-const tptp.quantDeMorgan3 Bool) % 0.42/0.72 (declare-const tptp.binunionEcases Bool) % 0.42/0.72 (declare-const tptp.exuI1 Bool) % 0.42/0.72 (declare-const tptp.binintersectI Bool) % 0.42/0.72 (declare-const tptp.binintersectEL Bool) % 0.42/0.72 (declare-const tptp.binintersectSubset2 Bool) % 0.42/0.72 (declare-const tptp.setext Bool) % 0.42/0.72 (declare-const tptp.binintersectER Bool) % 0.42/0.72 (declare-const tptp.binintersectSubset1 Bool) % 0.42/0.72 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.42/0.72 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.42/0.72 (define tptp.iskpair () (let ((_let_1 (@var "Xy" $$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)))))))))))))) % 0.42/0.72 (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))))))) % 0.42/0.72 (define @t1 () (@var "B" $$unsorted)) % 0.42/0.72 (define @t2 () (@var "A" $$unsorted)) % 0.42/0.72 (define @t3 () (= @t2 @t1)) % 0.42/0.72 (define @t4 () (@var "Xx" $$unsorted)) % 0.42/0.72 (define @t5 () (_ tptp.in @t4)) % 0.42/0.72 (define @t6 () (_ @t5 @t1)) % 0.42/0.72 (define @t7 () (_ @t5 @t2)) % 0.42/0.72 (define @t8 () (@list @t4)) % 0.42/0.72 (define @t9 () (@list @t2 @t1)) % 0.42/0.72 (define @t10 () (_ @t5 tptp.emptyset)) % 0.42/0.72 (define @t11 () (forall @t8 (not @t10))) % 0.42/0.72 (define @t12 () (@var "Xy" $$unsorted)) % 0.42/0.72 (define @t13 () (_ tptp.in @t12)) % 0.42/0.72 (define @t14 () (_ @t13 @t2)) % 0.42/0.72 (define @t15 () (= @t12 @t4)) % 0.42/0.72 (define @t16 () (or @t15 @t14)) % 0.42/0.72 (define @t17 () (_ tptp.setadjoin @t4)) % 0.42/0.72 (define @t18 () (_ @t17 @t2)) % 0.42/0.72 (define @t19 () (_ @t13 @t18)) % 0.42/0.72 (define @t20 () (@list @t4 @t2 @t12)) % 0.42/0.72 (define @t21 () (=> @t6 @t7)) % 0.42/0.72 (define @t22 () (forall @t8 @t21)) % 0.42/0.72 (define @t23 () (_ tptp.powerset @t2)) % 0.42/0.72 (define @t24 () (_ tptp.in @t1)) % 0.42/0.72 (define @t25 () (_ @t24 @t23)) % 0.42/0.72 (define @t26 () (_ @t24 @t2)) % 0.42/0.72 (define @t27 () (@list @t1)) % 0.42/0.72 (define @t28 () (_ tptp.setunion @t2)) % 0.42/0.72 (define @t29 () (_ @t5 @t28)) % 0.42/0.72 (define @t30 () (@list @t2 @t4)) % 0.42/0.72 (define @t31 () (_ tptp.in tptp.emptyset)) % 0.42/0.72 (define @t32 () (_ tptp.in (_ @t17 @t4))) % 0.42/0.72 (define @t33 () (_ @t5 tptp.omega)) % 0.42/0.72 (define @t34 () (@list @t2)) % 0.42/0.72 (define @t35 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.42/0.72 (define @t36 () (@list @t12)) % 0.42/0.72 (define @t37 () (exists @t8 @t7)) % 0.42/0.72 (define @t38 () (@var "E" $$unsorted)) % 0.42/0.72 (define @t39 () (@var "D" $$unsorted)) % 0.42/0.72 (define @t40 () (_ @t13 @t39)) % 0.42/0.72 (define @t41 () (@var "C" $$unsorted)) % 0.42/0.72 (define @t42 () (_ @t13 @t41)) % 0.42/0.72 (define @t43 () (_ @t5 @t41)) % 0.42/0.72 (define @t44 () (_ (_ tptp.in @t39) @t1)) % 0.42/0.72 (define @t45 () (forall @t8 (=> @t43 @t7))) % 0.42/0.72 (define @t46 () (@list @t41)) % 0.42/0.72 (define @t47 () (_ @t5 @t39)) % 0.42/0.72 (define @t48 () (_ (_ tptp.in @t41) @t1)) % 0.42/0.72 (define @t49 () (= @t4 @t12)) % 0.42/0.72 (define @t50 () (@list @t4 @t12)) % 0.42/0.72 (define @t51 () (@var "Xphi" (-> $$unsorted Bool))) % 0.42/0.72 (define @t52 () (_ @t51 @t4)) % 0.42/0.72 (define @t53 () (lambda @t8 @t52)) % 0.42/0.72 (define @t54 () (_ tptp.descr @t53)) % 0.42/0.72 (define @t55 () (_ tptp.exu @t53)) % 0.42/0.72 (define @t56 () (@list @t51)) % 0.42/0.72 (define @t57 () (_ @t51 @t12)) % 0.42/0.72 (define @t58 () (_ tptp.dsetconstr @t2)) % 0.42/0.72 (define @t59 () (_ @t58 (lambda @t36 @t57))) % 0.42/0.72 (define @t60 () (_ @t5 @t59)) % 0.42/0.72 (define @t61 () (@list @t2 @t51 @t4)) % 0.42/0.72 (define @t62 () (=> @t57 @t49)) % 0.42/0.72 (define @t63 () (exists @t8 (and @t52 (forall @t36 @t62)))) % 0.42/0.72 (define @t64 () (@var "Xphi" Bool)) % 0.42/0.72 (define @t65 () (_ tptp.prop2set @t64)) % 0.42/0.72 (define @t66 () (@list @t64)) % 0.42/0.72 (define @t67 () (exists @t8 @t52)) % 0.42/0.72 (define @t68 () (=> @t7 @t6)) % 0.42/0.72 (define @t69 () (forall @t8 @t68)) % 0.42/0.72 (define @t70 () (= @t2 tptp.emptyset)) % 0.42/0.72 (define @t71 () (not @t7)) % 0.42/0.72 (define @t72 () (forall @t34 (=> (forall @t8 @t71) @t70))) % 0.42/0.72 (define @t73 () (_ tptp.nonempty @t2)) % 0.42/0.72 (define @t74 () (forall @t34 (_ @t31 @t23))) % 0.42/0.72 (define @t75 () (@list @t2 @t1 @t4)) % 0.42/0.72 (define @t76 () (@list @t2 @t4 @t1)) % 0.42/0.72 (define @t77 () (exists @t8 (forall @t36 (= @t57 @t15)))) % 0.42/0.72 (define @t78 () (_ tptp.setadjoin @t12)) % 0.42/0.72 (define @t79 () (_ @t78 tptp.emptyset)) % 0.42/0.72 (define @t80 () (_ @t5 @t79)) % 0.42/0.72 (define @t81 () (_ @t17 tptp.emptyset)) % 0.42/0.72 (define @t82 () (_ @t13 @t81)) % 0.42/0.72 (define @t83 () (@var "Xz" $$unsorted)) % 0.42/0.72 (define @t84 () (_ @t17 @t79)) % 0.42/0.72 (define @t85 () (forall @t50 (_ @t13 @t84))) % 0.42/0.72 (define @t86 () (_ @t58 @t53)) % 0.42/0.72 (define @t87 () (exists @t8 (and @t7 @t52))) % 0.42/0.72 (define @t88 () (@list @t2 @t51)) % 0.42/0.72 (define @t89 () (not @t52)) % 0.42/0.72 (define @t90 () (exists @t8 (and @t7 @t89))) % 0.42/0.72 (define @t91 () (not (forall @t8 (=> @t7 @t52)))) % 0.42/0.72 (define @t92 () (forall @t88 (=> @t91 @t90))) % 0.42/0.72 (define @t93 () (not @t87)) % 0.42/0.72 (define @t94 () (forall @t8 (=> @t7 @t89))) % 0.42/0.72 (define @t95 () (forall @t88 (=> @t93 @t94))) % 0.42/0.72 (define @t96 () (forall @t50 (=> @t52 @t62))) % 0.42/0.72 (define @t97 () (_ @t13 @t1)) % 0.42/0.72 (define @t98 () (forall @t56 (=> @t55 @t96))) % 0.42/0.72 (define @t99 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.42/0.72 (define @t100 () (lambda @t8 (_ @t99 @t4))) % 0.42/0.72 (define @t101 () (_ tptp.exu @t100)) % 0.42/0.72 (define @t102 () (=> @t49 (= @t52 (_ @t99 @t12)))) % 0.42/0.72 (define @t103 () (forall @t50 @t102)) % 0.42/0.72 (define @t104 () (@list @t51 @t99)) % 0.42/0.72 (define @t105 () (@var "Xu" $$unsorted)) % 0.42/0.72 (define @t106 () (_ tptp.powerset @t1)) % 0.42/0.72 (define @t107 () (_ tptp.subset @t2)) % 0.42/0.72 (define @t108 () (_ @t107 @t1)) % 0.42/0.72 (define @t109 () (forall @t9 (=> @t69 @t108))) % 0.42/0.72 (define @t110 () (_ tptp.subset @t1)) % 0.42/0.72 (define @t111 () (_ @t110 @t2)) % 0.42/0.72 (define @t112 () (not @t6)) % 0.42/0.72 (define @t113 () (=> @t112 @t71)) % 0.42/0.72 (define @t114 () (not @t108)) % 0.42/0.72 (define @t115 () (not @t3)) % 0.42/0.72 (define @t116 () (@list @t2 @t1 @t41)) % 0.42/0.72 (define @t117 () (_ tptp.in @t2)) % 0.42/0.72 (define @t118 () (_ (_ tptp.binunion @t2) @t1)) % 0.42/0.72 (define @t119 () (_ @t5 @t118)) % 0.42/0.72 (define @t120 () (=> @t6 @t64)) % 0.42/0.72 (define @t121 () (_ tptp.binintersect @t2)) % 0.42/0.72 (define @t122 () (_ @t121 @t1)) % 0.42/0.72 (define @t123 () (_ @t5 @t122)) % 0.42/0.72 (define @t124 () (_ tptp.subset @t41)) % 0.42/0.72 (define @t125 () (_ tptp.subset @t122)) % 0.42/0.72 (define @t126 () (= @t122 @t2)) % 0.42/0.72 (define @t127 () (= @t122 @t1)) % 0.42/0.72 (define @t128 () (_ (_ tptp.setminus @t2) @t1)) % 0.42/0.72 (define @t129 () (_ @t5 @t128)) % 0.42/0.72 (define @t130 () (= @t128 tptp.emptyset)) % 0.42/0.72 (define @t131 () (not @t129)) % 0.42/0.72 (define @t132 () (_ @t5 (_ (_ tptp.symdiff @t2) @t1))) % 0.42/0.72 (define @t133 () (not @t132)) % 0.42/0.72 (define @t134 () (_ (_ tptp.setadjoin @t84) tptp.emptyset)) % 0.42/0.72 (define @t135 () (_ (_ tptp.setadjoin @t81) @t134)) % 0.42/0.72 (define @t136 () (_ tptp.setunion @t135)) % 0.42/0.72 (define @t137 () (forall @t50 (_ tptp.iskpair @t135))) % 0.42/0.72 (define @t138 () (= tptp.kpairiskpair @t137)) % 0.42/0.72 (define @t139 () (forall @t50 (_ tptp.iskpair (_ (_ tptp.kpair @t4) @t12)))) % 0.42/0.72 (define @t140 () (=> tptp.kpairiskpair @t139)) % 0.42/0.72 (define @t141 () (=> tptp.setukpairIR @t140)) % 0.42/0.72 (define @t142 () (=> tptp.setukpairIL @t141)) % 0.42/0.72 (define @t143 () (=> tptp.secondinupair @t142)) % 0.42/0.72 (define @t144 () (=> tptp.symdiffIneg2 @t143)) % 0.42/0.72 (define @t145 () (=> tptp.symdiffIneg1 @t144)) % 0.42/0.72 (define @t146 () (=> tptp.symdiffI2 @t145)) % 0.42/0.72 (define @t147 () (=> tptp.symdiffI1 @t146)) % 0.42/0.72 (define @t148 () (=> tptp.symdiffE @t147)) % 0.42/0.72 (define @t149 () (=> tptp.setminusSubset1 @t148)) % 0.42/0.72 (define @t150 () (=> tptp.setminusLsub @t149)) % 0.42/0.72 (define @t151 () (=> tptp.setminusIRneg @t150)) % 0.42/0.72 (define @t152 () (=> tptp.setminusILneg @t151)) % 0.42/0.72 (define @t153 () (=> tptp.setminusELneg @t152)) % 0.42/0.72 (define @t154 () (=> tptp.setminusERneg @t153)) % 0.42/0.72 (define @t155 () (=> tptp.setminusSubset2 @t154)) % 0.42/0.72 (define @t156 () (=> tptp.setminusER @t155)) % 0.42/0.72 (define @t157 () (=> tptp.setminusEL @t156)) % 0.42/0.72 (define @t158 () (=> tptp.setminusI @t157)) % 0.42/0.72 (define @t159 () (=> tptp.bs114d @t158)) % 0.42/0.72 (define @t160 () (=> tptp.binintersectSubset1 @t159)) % 0.42/0.72 (define @t161 () (=> tptp.binintersectSubset4 @t160)) % 0.42/0.72 (define @t162 () (=> tptp.binintersectRsub @t161)) % 0.42/0.72 (define @t163 () (=> tptp.disjointsetsI1 @t162)) % 0.42/0.72 (define @t164 () (=> tptp.binintersectER @t163)) % 0.42/0.72 (define @t165 () (=> tptp.binintersectSubset3 @t164)) % 0.42/0.72 (define @t166 () (=> tptp.binintersectSubset2 @t165)) % 0.42/0.72 (define @t167 () (=> tptp.binintersectLsub @t166)) % 0.42/0.72 (define @t168 () (=> tptp.binintersectEL @t167)) % 0.42/0.72 (define @t169 () (=> tptp.binintersectSubset5 @t168)) % 0.42/0.72 (define @t170 () (=> tptp.binintersectI @t169)) % 0.42/0.72 (define @t171 () (=> tptp.binunionRsub @t170)) % 0.42/0.72 (define @t172 () (=> tptp.binunionLsub @t171)) % 0.42/0.72 (define @t173 () (=> tptp.binunionE @t172)) % 0.42/0.72 (define @t174 () (=> tptp.binunionEcases @t173)) % 0.42/0.72 (define @t175 () (=> tptp.binunionIR @t174)) % 0.42/0.72 (define @t176 () (=> tptp.upairset2IR @t175)) % 0.42/0.72 (define @t177 () (=> tptp.binunionIL @t176)) % 0.42/0.72 (define @t178 () (=> tptp.sepSubset @t177)) % 0.42/0.72 (define @t179 () (=> tptp.sepInPowerset @t178)) % 0.42/0.72 (define @t180 () (=> tptp.powersetsubset @t179)) % 0.42/0.72 (define @t181 () (=> tptp.inPowerset @t180)) % 0.42/0.72 (define @t182 () (=> tptp.powersetE1 @t181)) % 0.42/0.72 (define @t183 () (=> tptp.powersetI1 @t182)) % 0.42/0.72 (define @t184 () (=> tptp.subsetemptysetimpeq @t183)) % 0.42/0.72 (define @t185 () (=> tptp.setextsub @t184)) % 0.42/0.72 (define @t186 () (=> tptp.subset2powerset @t185)) % 0.42/0.72 (define @t187 () (=> tptp.setadjoinSub2 @t186)) % 0.42/0.72 (define @t188 () (=> tptp.setadjoinSub @t187)) % 0.42/0.72 (define @t189 () (=> tptp.subsetTrans @t188)) % 0.42/0.72 (define @t190 () (=> tptp.subsetRefl @t189)) % 0.42/0.72 (define @t191 () (=> tptp.notequalI2 @t190)) % 0.42/0.72 (define @t192 () (=> tptp.notequalI1 @t191)) % 0.42/0.72 (define @t193 () (=> tptp.notsubsetI @t192)) % 0.42/0.72 (define @t194 () (=> tptp.subsetE2 @t193)) % 0.42/0.72 (define @t195 () (=> tptp.subsetE @t194)) % 0.42/0.72 (define @t196 () (=> tptp.emptysetsubset @t195)) % 0.42/0.72 (define @t197 () (=> tptp.subsetI2 @t196)) % 0.42/0.72 (define @t198 () (=> tptp.eqimpsubset1 @t197)) % 0.42/0.72 (define @t199 () (=> tptp.eqimpsubset2 @t198)) % 0.42/0.72 (define @t200 () (=> tptp.subsetI1 @t199)) % 0.42/0.72 (define @t201 () (=> tptp.dsetconstr__Cong @t200)) % 0.42/0.72 (define @t202 () (=> tptp.descr__Cong @t201)) % 0.42/0.72 (define @t203 () (=> tptp.exuEu @t202)) % 0.42/0.72 (define @t204 () (=> tptp.omega__Cong @t203)) % 0.42/0.72 (define @t205 () (=> tptp.setunion__Cong @t204)) % 0.42/0.72 (define @t206 () (=> tptp.powerset__Cong @t205)) % 0.42/0.72 (define @t207 () (=> tptp.setadjoin__Cong @t206)) % 0.42/0.72 (define @t208 () (=> tptp.emptyset__Cong @t207)) % 0.42/0.72 (define @t209 () (=> tptp.exu__Cong @t208)) % 0.42/0.72 (define @t210 () (=> tptp.exuE3u @t209)) % 0.42/0.72 (define @t211 () (=> tptp.in__Cong @t210)) % 0.42/0.72 (define @t212 () (=> tptp.inCongP @t211)) % 0.42/0.72 (define @t213 () (=> tptp.exuI2 @t212)) % 0.42/0.72 (define @t214 () (=> tptp.exuI3 @t213)) % 0.42/0.72 (define @t215 () (=> tptp.exuI1 @t214)) % 0.42/0.72 (define @t216 () (=> tptp.notdallE @t215)) % 0.42/0.72 (define @t217 () (=> tptp.notdexE @t216)) % 0.42/0.72 (define @t218 () (=> tptp.prop2set2propI @t217)) % 0.42/0.72 (define @t219 () (=> tptp.prop2setI @t218)) % 0.42/0.72 (define @t220 () (=> tptp.quantDeMorgan4 @t219)) % 0.42/0.72 (define @t221 () (=> tptp.quantDeMorgan3 @t220)) % 0.42/0.72 (define @t222 () (=> tptp.quantDeMorgan2 @t221)) % 0.42/0.72 (define @t223 () (=> tptp.quantDeMorgan1 @t222)) % 0.42/0.72 (define @t224 () (=> tptp.vacuousDall @t223)) % 0.42/0.72 (define @t225 () (=> tptp.emptyE1 @t224)) % 0.42/0.72 (define @t226 () (=> tptp.upairsetIR @t225)) % 0.42/0.72 (define @t227 () (=> tptp.upairsetIL @t226)) % 0.42/0.72 (define @t228 () (=> tptp.upairsetE @t227)) % 0.42/0.72 (define @t229 () (=> tptp.singletonsswitch @t228)) % 0.42/0.72 (define @t230 () (=> tptp.eqinunit @t229)) % 0.42/0.72 (define @t231 () (=> tptp.notinsingleton @t230)) % 0.42/0.72 (define @t232 () (=> tptp.uniqinunit @t231)) % 0.42/0.72 (define @t233 () (=> tptp.nonemptyImpWitness @t232)) % 0.42/0.72 (define @t234 () (=> tptp.exuE2 @t233)) % 0.42/0.72 (define @t235 () (=> tptp.subPowSU @t234)) % 0.42/0.72 (define @t236 () (=> tptp.setunionE @t235)) % 0.42/0.72 (define @t237 () (=> tptp.setunionI @t236)) % 0.42/0.72 (define @t238 () (=> tptp.powersetE @t237)) % 0.42/0.72 (define @t239 () (=> tptp.emptyInPowerset @t238)) % 0.42/0.72 (define @t240 () (=> tptp.emptyinPowerset @t239)) % 0.42/0.72 (define @t241 () (=> tptp.powersetI @t240)) % 0.42/0.72 (define @t242 () (=> tptp.setoftrueEq @t241)) % 0.42/0.72 (define @t243 () (=> tptp.setadjoinOr @t242)) % 0.42/0.72 (define @t244 () (=> tptp.setadjoinE @t243)) % 0.42/0.72 (define @t245 () (=> tptp.setadjoinIR @t244)) % 0.42/0.72 (define @t246 () (=> tptp.emptyinunitempty @t245)) % 0.42/0.72 (define @t247 () (=> tptp.setadjoinIL @t246)) % 0.42/0.72 (define @t248 () (=> tptp.nonemptyI1 @t247)) % 0.42/0.72 (define @t249 () (=> tptp.nonemptyI @t248)) % 0.42/0.72 (define @t250 () (=> tptp.nonemptyE1 @t249)) % 0.42/0.72 (define @t251 () (=> tptp.setbeta @t250)) % 0.42/0.72 (define @t252 () (=> tptp.noeltsimpempty @t251)) % 0.42/0.72 (define @t253 () (=> tptp.emptyI @t252)) % 0.42/0.72 (define @t254 () (=> tptp.setext @t253)) % 0.42/0.72 (define @t255 () (=> tptp.exuE3e @t254)) % 0.42/0.72 (define @t256 () (=> tptp.notinemptyset @t255)) % 0.42/0.72 (define @t257 () (=> tptp.emptysetimpfalse @t256)) % 0.42/0.72 (define @t258 () (=> tptp.emptysetE @t257)) % 0.42/0.72 (define @t259 () (=> tptp.prop2setE @t258)) % 0.42/0.72 (define @t260 () (=> tptp.exuE1 @t259)) % 0.42/0.72 (define @t261 () (=> tptp.dsetconstrER @t260)) % 0.42/0.72 (define @t262 () (=> tptp.dsetconstrEL @t261)) % 0.42/0.72 (define @t263 () (=> tptp.dsetconstrI @t262)) % 0.42/0.72 (define @t264 () (=> tptp.descrp @t263)) % 0.42/0.72 (define @t265 () (=> tptp.wellorderingAx @t264)) % 0.42/0.72 (define @t266 () (=> tptp.foundationAx @t265)) % 0.42/0.72 (define @t267 () (=> tptp.replAx @t266)) % 0.42/0.72 (define @t268 () (=> tptp.omegaIndAx @t267)) % 0.42/0.72 (define @t269 () (=> tptp.omegaSAx @t268)) % 0.42/0.72 (define @t270 () (=> tptp.omega0Ax @t269)) % 0.42/0.72 (define @t271 () (=> tptp.setunionAx @t270)) % 0.42/0.72 (define @t272 () (=> tptp.powersetAx @t271)) % 0.42/0.72 (define @t273 () (=> tptp.setadjoinAx @t272)) % 0.42/0.72 (define @t274 () (=> tptp.emptysetAx @t273)) % 0.42/0.72 (define @t275 () (=> tptp.setextAx @t274)) % 0.42/0.72 (define @t276 () (not @t275)) % 0.42/0.72 (define @t277 () (lambda @t56 @t63)) % 0.42/0.72 (define @t278 () (lambda @t8 (not (= @t4 tptp.emptyset)))) % 0.42/0.72 (define @t279 () (= @t2 @t135)) % 0.42/0.72 (define @t280 () (_ @t13 @t28)) % 0.42/0.72 (define @t281 () (and @t280 @t279)) % 0.42/0.72 (define @t282 () (exists @t36 @t281)) % 0.42/0.72 (define @t283 () (and @t29 @t282)) % 0.42/0.72 (define @t284 () (exists @t8 @t283)) % 0.42/0.72 (define @t285 () (lambda @t34 @t284)) % 0.42/0.72 (define @t286 () (lambda @t50 @t135)) % 0.42/0.72 (define @t287 () (@var "BOUND_VARIABLE_8368" $$unsorted)) % 0.42/0.72 (define @t288 () (tptp.setadjoin @t287 tptp.emptyset)) % 0.42/0.72 (define @t289 () (@var "BOUND_VARIABLE_10454" $$unsorted)) % 0.42/0.72 (define @t290 () (tptp.setadjoin (tptp.setadjoin @t289 tptp.emptyset) (tptp.setadjoin (tptp.setadjoin @t289 @t288) tptp.emptyset))) % 0.42/0.72 (define @t291 () (tptp.setadjoin @t12 tptp.emptyset)) % 0.42/0.72 (define @t292 () (tptp.setadjoin @t4 @t291)) % 0.42/0.72 (define @t293 () (tptp.setadjoin @t292 tptp.emptyset)) % 0.42/0.72 (define @t294 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.42/0.72 (define @t295 () (tptp.setadjoin @t294 @t293)) % 0.42/0.72 (define @t296 () (= @t135 @t290)) % 0.42/0.72 (define @t297 () (not @t296)) % 0.42/0.72 (define @t298 () (tptp.setunion @t135)) % 0.42/0.72 (define @t299 () (tptp.in @t287 @t298)) % 0.42/0.72 (define @t300 () (not @t299)) % 0.42/0.72 (define @t301 () (tptp.in @t289 @t298)) % 0.42/0.72 (define @t302 () (not @t301)) % 0.42/0.72 (define @t303 () (or @t302 @t300 @t297)) % 0.42/0.72 (define @t304 () (@list @t289 @t287)) % 0.42/0.72 (define @t305 () (forall @t304 @t303)) % 0.42/0.72 (define @t306 () (not @t305)) % 0.42/0.72 (define @t307 () (tptp.setunion @t2)) % 0.42/0.72 (define @t308 () (not (tptp.in @t287 @t307))) % 0.42/0.72 (define @t309 () (not (= @t2 (tptp.setadjoin @t294 (tptp.setadjoin (tptp.setadjoin @t4 @t288) tptp.emptyset))))) % 0.42/0.72 (define @t310 () (tptp.in @t4 @t307)) % 0.42/0.72 (define @t311 () (not @t310)) % 0.42/0.72 (define @t312 () (or @t311 @t308 @t309)) % 0.42/0.72 (define @t313 () (@list @t4 @t287)) % 0.42/0.72 (define @t314 () (forall @t313 @t312)) % 0.42/0.72 (define @t315 () (not @t314)) % 0.42/0.72 (define @t316 () (lambda @t34 @t315)) % 0.42/0.72 (define @t317 () (lambda @t36 @t135)) % 0.42/0.72 (define @t318 () (_ @t286 @t4)) % 0.42/0.72 (define @t319 () (forall @t50 (_ @t316 (_ @t318 @t12)))) % 0.42/0.72 (define @t320 () (=> tptp.kpairiskpair @t319)) % 0.42/0.72 (define @t321 () (=> tptp.setukpairIR @t320)) % 0.42/0.72 (define @t322 () (=> tptp.setukpairIL @t321)) % 0.42/0.72 (define @t323 () (=> tptp.secondinupair @t322)) % 0.42/0.72 (define @t324 () (=> tptp.symdiffIneg2 @t323)) % 0.42/0.72 (define @t325 () (=> tptp.symdiffIneg1 @t324)) % 0.42/0.72 (define @t326 () (=> tptp.symdiffI2 @t325)) % 0.42/0.72 (define @t327 () (=> tptp.symdiffI1 @t326)) % 0.42/0.72 (define @t328 () (=> tptp.symdiffE @t327)) % 0.42/0.72 (define @t329 () (=> tptp.setminusSubset1 @t328)) % 0.42/0.72 (define @t330 () (=> tptp.setminusLsub @t329)) % 0.42/0.72 (define @t331 () (=> tptp.setminusIRneg @t330)) % 0.42/0.72 (define @t332 () (=> tptp.setminusILneg @t331)) % 0.42/0.72 (define @t333 () (=> tptp.setminusELneg @t332)) % 0.42/0.72 (define @t334 () (=> tptp.setminusERneg @t333)) % 0.42/0.72 (define @t335 () (=> tptp.setminusSubset2 @t334)) % 0.42/0.72 (define @t336 () (=> tptp.setminusER @t335)) % 0.42/0.72 (define @t337 () (=> tptp.setminusEL @t336)) % 0.42/0.72 (define @t338 () (=> tptp.setminusI @t337)) % 0.42/0.72 (define @t339 () (=> tptp.bs114d @t338)) % 0.42/0.72 (define @t340 () (=> tptp.binintersectSubset1 @t339)) % 0.42/0.72 (define @t341 () (=> tptp.binintersectSubset4 @t340)) % 0.42/0.72 (define @t342 () (=> tptp.binintersectRsub @t341)) % 0.42/0.72 (define @t343 () (=> tptp.disjointsetsI1 @t342)) % 0.42/0.72 (define @t344 () (=> tptp.binintersectER @t343)) % 0.42/0.72 (define @t345 () (=> tptp.binintersectSubset3 @t344)) % 0.42/0.72 (define @t346 () (=> tptp.binintersectSubset2 @t345)) % 0.42/0.72 (define @t347 () (=> tptp.binintersectLsub @t346)) % 0.42/0.72 (define @t348 () (=> tptp.binintersectEL @t347)) % 0.42/0.72 (define @t349 () (=> tptp.binintersectSubset5 @t348)) % 0.42/0.72 (define @t350 () (=> tptp.binintersectI @t349)) % 0.42/0.72 (define @t351 () (=> tptp.binunionRsub @t350)) % 0.42/0.72 (define @t352 () (=> tptp.binunionLsub @t351)) % 0.42/0.72 (define @t353 () (=> tptp.binunionE @t352)) % 0.42/0.72 (define @t354 () (=> tptp.binunionEcases @t353)) % 0.42/0.72 (define @t355 () (=> tptp.binunionIR @t354)) % 0.42/0.72 (define @t356 () (=> tptp.upairset2IR @t355)) % 0.42/0.72 (define @t357 () (=> tptp.binunionIL @t356)) % 0.42/0.72 (define @t358 () (=> tptp.sepSubset @t357)) % 0.42/0.72 (define @t359 () (=> tptp.sepInPowerset @t358)) % 0.42/0.72 (define @t360 () (=> tptp.powersetsubset @t359)) % 0.42/0.72 (define @t361 () (=> tptp.inPowerset @t360)) % 0.42/0.72 (define @t362 () (=> tptp.powersetE1 @t361)) % 0.42/0.72 (define @t363 () (=> tptp.powersetI1 @t362)) % 0.42/0.72 (define @t364 () (=> tptp.subsetemptysetimpeq @t363)) % 0.42/0.72 (define @t365 () (=> tptp.setextsub @t364)) % 0.42/0.72 (define @t366 () (=> tptp.subset2powerset @t365)) % 0.42/0.72 (define @t367 () (=> tptp.setadjoinSub2 @t366)) % 0.42/0.72 (define @t368 () (=> tptp.setadjoinSub @t367)) % 0.42/0.72 (define @t369 () (=> tptp.subsetTrans @t368)) % 0.42/0.72 (define @t370 () (=> tptp.subsetRefl @t369)) % 0.42/0.72 (define @t371 () (=> tptp.notequalI2 @t370)) % 0.42/0.72 (define @t372 () (=> tptp.notequalI1 @t371)) % 0.42/0.72 (define @t373 () (=> tptp.notsubsetI @t372)) % 0.42/0.72 (define @t374 () (=> tptp.subsetE2 @t373)) % 0.42/0.72 (define @t375 () (=> tptp.subsetE @t374)) % 0.42/0.72 (define @t376 () (=> tptp.emptysetsubset @t375)) % 0.42/0.72 (define @t377 () (=> tptp.subsetI2 @t376)) % 0.42/0.72 (define @t378 () (=> tptp.eqimpsubset1 @t377)) % 0.42/0.72 (define @t379 () (=> tptp.eqimpsubset2 @t378)) % 0.42/0.72 (define @t380 () (=> tptp.subsetI1 @t379)) % 0.42/0.72 (define @t381 () (=> tptp.dsetconstr__Cong @t380)) % 0.42/0.72 (define @t382 () (=> tptp.descr__Cong @t381)) % 0.42/0.72 (define @t383 () (=> tptp.exuEu @t382)) % 0.42/0.72 (define @t384 () (=> tptp.omega__Cong @t383)) % 0.42/0.72 (define @t385 () (=> tptp.setunion__Cong @t384)) % 0.42/0.72 (define @t386 () (=> tptp.powerset__Cong @t385)) % 0.42/0.72 (define @t387 () (=> tptp.setadjoin__Cong @t386)) % 0.42/0.72 (define @t388 () (=> tptp.emptyset__Cong @t387)) % 0.42/0.72 (define @t389 () (=> tptp.exu__Cong @t388)) % 0.42/0.72 (define @t390 () (=> tptp.exuE3u @t389)) % 0.42/0.72 (define @t391 () (=> tptp.in__Cong @t390)) % 0.42/0.72 (define @t392 () (=> tptp.inCongP @t391)) % 0.42/0.72 (define @t393 () (=> tptp.exuI2 @t392)) % 0.42/0.72 (define @t394 () (=> tptp.exuI3 @t393)) % 0.42/0.72 (define @t395 () (=> tptp.exuI1 @t394)) % 0.42/0.72 (define @t396 () (=> tptp.notdallE @t395)) % 0.42/0.72 (define @t397 () (=> tptp.notdexE @t396)) % 0.42/0.72 (define @t398 () (=> tptp.prop2set2propI @t397)) % 0.42/0.72 (define @t399 () (=> tptp.prop2setI @t398)) % 0.42/0.72 (define @t400 () (=> tptp.quantDeMorgan4 @t399)) % 0.42/0.72 (define @t401 () (=> tptp.quantDeMorgan3 @t400)) % 0.42/0.72 (define @t402 () (=> tptp.quantDeMorgan2 @t401)) % 0.42/0.72 (define @t403 () (=> tptp.quantDeMorgan1 @t402)) % 0.42/0.72 (define @t404 () (=> tptp.vacuousDall @t403)) % 0.42/0.72 (define @t405 () (=> tptp.emptyE1 @t404)) % 0.42/0.72 (define @t406 () (=> tptp.upairsetIR @t405)) % 0.42/0.72 (define @t407 () (=> tptp.upairsetIL @t406)) % 0.42/0.72 (define @t408 () (=> tptp.upairsetE @t407)) % 0.42/0.72 (define @t409 () (=> tptp.singletonsswitch @t408)) % 0.42/0.72 (define @t410 () (=> tptp.eqinunit @t409)) % 0.42/0.72 (define @t411 () (=> tptp.notinsingleton @t410)) % 0.42/0.72 (define @t412 () (=> tptp.uniqinunit @t411)) % 0.42/0.72 (define @t413 () (=> tptp.nonemptyImpWitness @t412)) % 0.42/0.72 (define @t414 () (=> tptp.exuE2 @t413)) % 0.42/0.72 (define @t415 () (=> tptp.subPowSU @t414)) % 0.42/0.72 (define @t416 () (=> tptp.setunionE @t415)) % 0.42/0.72 (define @t417 () (=> tptp.setunionI @t416)) % 0.42/0.72 (define @t418 () (=> tptp.powersetE @t417)) % 0.42/0.72 (define @t419 () (=> tptp.emptyInPowerset @t418)) % 0.42/0.72 (define @t420 () (=> tptp.emptyinPowerset @t419)) % 0.42/0.72 (define @t421 () (=> tptp.powersetI @t420)) % 0.42/0.72 (define @t422 () (=> tptp.setoftrueEq @t421)) % 0.42/0.72 (define @t423 () (=> tptp.setadjoinOr @t422)) % 0.42/0.72 (define @t424 () (=> tptp.setadjoinE @t423)) % 0.42/0.72 (define @t425 () (=> tptp.setadjoinIR @t424)) % 0.42/0.72 (define @t426 () (=> tptp.emptyinunitempty @t425)) % 0.42/0.72 (define @t427 () (=> tptp.setadjoinIL @t426)) % 0.42/0.72 (define @t428 () (=> tptp.nonemptyI1 @t427)) % 0.42/0.72 (define @t429 () (=> tptp.nonemptyI @t428)) % 0.42/0.72 (define @t430 () (=> tptp.nonemptyE1 @t429)) % 0.42/0.72 (define @t431 () (=> tptp.setbeta @t430)) % 0.42/0.72 (define @t432 () (=> tptp.noeltsimpempty @t431)) % 0.42/0.72 (define @t433 () (=> tptp.emptyI @t432)) % 0.42/0.72 (define @t434 () (=> tptp.setext @t433)) % 0.42/0.72 (define @t435 () (=> tptp.exuE3e @t434)) % 0.42/0.72 (define @t436 () (=> tptp.notinemptyset @t435)) % 0.42/0.72 (define @t437 () (=> tptp.emptysetimpfalse @t436)) % 0.42/0.72 (define @t438 () (=> tptp.emptysetE @t437)) % 0.42/0.72 (define @t439 () (=> tptp.prop2setE @t438)) % 0.42/0.72 (define @t440 () (=> tptp.exuE1 @t439)) % 0.42/0.72 (define @t441 () (=> tptp.dsetconstrER @t440)) % 0.42/0.72 (define @t442 () (=> tptp.dsetconstrEL @t441)) % 0.42/0.72 (define @t443 () (=> tptp.dsetconstrI @t442)) % 0.42/0.72 (define @t444 () (=> tptp.descrp @t443)) % 0.42/0.72 (define @t445 () (=> tptp.wellorderingAx @t444)) % 0.42/0.72 (define @t446 () (=> tptp.foundationAx @t445)) % 0.42/0.72 (define @t447 () (=> tptp.replAx @t446)) % 0.42/0.72 (define @t448 () (=> tptp.omegaIndAx @t447)) % 0.42/0.72 (define @t449 () (=> tptp.omegaSAx @t448)) % 0.42/0.72 (define @t450 () (=> tptp.omega0Ax @t449)) % 0.42/0.72 (define @t451 () (=> tptp.setunionAx @t450)) % 0.42/0.72 (define @t452 () (=> tptp.powersetAx @t451)) % 0.42/0.72 (define @t453 () (=> tptp.setadjoinAx @t452)) % 0.42/0.72 (define @t454 () (=> tptp.emptysetAx @t453)) % 0.42/0.72 (define @t455 () (=> tptp.setextAx @t454)) % 0.42/0.72 (define @t456 () (or @t308 @t309)) % 0.42/0.72 (define @t457 () (or @t311 @t456)) % 0.42/0.72 (define @t458 () (forall @t313 @t457)) % 0.42/0.72 (define @t459 () (@list @t287)) % 0.42/0.72 (define @t460 () (forall @t459 @t457)) % 0.42/0.72 (define @t461 () (forall @t459 @t456)) % 0.42/0.72 (define @t462 () (or @t311 @t461)) % 0.42/0.72 (define @t463 () (tptp.in @t12 @t307)) % 0.42/0.72 (define @t464 () (forall @t36 (or (not @t463) (not (= @t2 @t295))))) % 0.42/0.72 (define @t465 () (not @t29)) % 0.42/0.72 (define @t466 () (or @t465 @t464)) % 0.42/0.72 (define @t467 () (not @t464)) % 0.42/0.72 (define @t468 () (and @t29 @t467)) % 0.42/0.72 (define @t469 () (forall @t8 (not @t468))) % 0.42/0.72 (define @t470 () (not @t469)) % 0.42/0.72 (define @t471 () (not @t279)) % 0.42/0.72 (define @t472 () (not @t280)) % 0.42/0.72 (define @t473 () (or @t472 @t471)) % 0.42/0.72 (define @t474 () (forall @t36 (not @t281))) % 0.42/0.72 (define @t475 () (not @t474)) % 0.42/0.72 (define @t476 () (tptp.setunion @t295)) % 0.42/0.72 (define @t477 () (forall @t50 (not (forall @t304 (or (not (tptp.in @t289 @t476)) (not (tptp.in @t287 @t476)) (not (= @t295 @t290))))))) % 0.42/0.72 (define @t478 () (forall @t50 (_ @t316 @t135))) % 0.42/0.72 (assume @p1 (= tptp.setextAx (forall @t9 (=> (forall @t8 (= @t7 @t6)) @t3)))) % 0.42/0.72 (assume @p2 (= tptp.emptysetAx @t11)) % 0.42/0.72 (assume @p3 (= tptp.setadjoinAx (forall @t20 (= @t19 @t16)))) % 0.42/0.72 (assume @p4 (= tptp.powersetAx (forall @t9 (= @t25 @t22)))) % 0.42/0.72 (assume @p5 (= tptp.setunionAx (forall @t30 (= @t29 (exists @t27 (and @t6 @t26)))))) % 0.42/0.72 (assume @p6 (= tptp.omega0Ax (_ @t31 tptp.omega))) % 0.42/0.72 (assume @p7 (= tptp.omegaSAx (forall @t8 (=> @t33 (_ @t32 tptp.omega))))) % 0.42/0.72 (assume @p8 (= tptp.omegaIndAx (forall @t34 (=> (and (_ @t31 @t2) (forall @t8 (=> (and @t33 @t7) (_ @t32 @t2)))) (forall @t8 (=> @t33 @t7)))))) % 0.42/0.72 (assume @p9 (= tptp.replAx (forall (@list @t35 @t2) (=> (forall @t8 (=> @t7 (_ tptp.exu (lambda @t36 (_ (_ @t35 @t4) @t12))))) (exists @t27 (forall @t8 (= @t6 (exists @t36 (and @t14 (_ (_ @t35 @t12) @t4)))))))))) % 0.42/0.72 (assume @p10 (= tptp.foundationAx (forall @t34 (=> @t37 (exists @t27 (and @t26 (not (exists @t8 (and @t6 @t7))))))))) % 0.42/0.72 (assume @p11 (= tptp.wellorderingAx (forall @t34 (exists @t27 (and (forall @t46 (=> @t48 @t45)) (forall @t50 (=> (and @t7 @t14) (=> (forall @t46 (=> @t48 (= @t43 @t42))) @t49))) (forall (@list @t41 @t39) (=> (and @t48 @t44) (or (forall @t8 (=> @t43 @t47)) (forall @t8 (=> @t47 @t43))))) (forall @t46 (=> (and @t45 (exists @t8 @t43)) (exists (@list @t39 @t4) (and @t44 @t43 (not (exists @t36 (and @t40 @t42))) (forall (@list @t38) (=> (_ (_ tptp.in @t38) @t1) (or (forall @t36 (=> (_ @t13 @t38) @t40)) (_ @t5 @t38))))))))))))) % 0.42/0.72 (assume @p12 (= tptp.descrp (forall @t56 (=> @t55 (_ @t51 @t54))))) % 0.42/0.72 (assume @p13 (= tptp.dsetconstrI (forall @t61 (=> @t7 (=> @t52 @t60))))) % 0.42/0.72 (assume @p14 (= tptp.dsetconstrEL (forall @t61 (=> @t60 @t7)))) % 0.42/0.72 (assume @p15 (= tptp.dsetconstrER (forall @t61 (=> @t60 @t52)))) % 0.42/0.72 (assume @p16 (= tptp.exuE1 (forall @t56 (=> @t55 @t63)))) % 0.42/0.72 (assume @p17 (= tptp.prop2setE (forall (@list @t64 @t4) (=> (_ @t5 @t65) @t64)))) % 0.42/0.72 (assume @p18 (= tptp.emptysetE (forall @t8 (=> @t10 (forall @t66 @t64))))) % 0.42/0.72 (assume @p19 (= tptp.emptysetimpfalse (forall @t8 (=> @t10 false)))) % 0.42/0.72 (assume @p20 (= tptp.notinemptyset @t11)) % 0.42/0.72 (assume @p21 (= tptp.exuE3e (forall @t56 (=> @t55 @t67)))) % 0.42/0.72 (assume @p22 (= tptp.setext (forall @t9 (=> @t69 (=> @t22 @t3))))) % 0.42/0.72 (assume @p23 (= tptp.emptyI @t72)) % 0.42/0.72 (assume @p24 (= tptp.noeltsimpempty @t72)) % 0.42/0.72 (assume @p25 (= tptp.setbeta (forall @t61 (=> @t7 (= @t60 @t52))))) % 0.42/0.72 (assume @p26 (= tptp.nonemptyE1 (forall @t34 (=> @t73 @t37)))) % 0.42/0.72 (assume @p27 (= tptp.nonemptyI (forall @t61 (=> @t7 (=> @t52 (_ tptp.nonempty @t59)))))) % 0.42/0.72 (assume @p28 (= tptp.nonemptyI1 (forall @t34 (=> @t37 @t73)))) % 0.42/0.72 (assume @p29 (= tptp.setadjoinIL (forall @t50 (_ @t5 (_ @t17 @t12))))) % 0.42/0.72 (assume @p30 (= tptp.emptyinunitempty (_ @t31 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)))) % 0.42/0.72 (assume @p31 (= tptp.setadjoinIR (forall @t20 (=> @t14 @t19)))) % 0.42/0.72 (assume @p32 (= tptp.setadjoinE (forall @t20 (=> @t19 (forall @t66 (=> (=> @t15 @t64) (=> (=> @t14 @t64) @t64))))))) % 0.42/0.72 (assume @p33 (= tptp.setadjoinOr (forall @t20 (=> @t19 @t16)))) % 0.42/0.72 (assume @p34 (= tptp.setoftrueEq (forall @t34 (= (_ @t58 (lambda @t8 true)) @t2)))) % 0.42/0.72 (assume @p35 (= tptp.powersetI (forall @t9 (=> @t22 @t25)))) % 0.42/0.72 (assume @p36 (= tptp.emptyinPowerset @t74)) % 0.42/0.72 (assume @p37 (= tptp.emptyInPowerset @t74)) % 0.42/0.72 (assume @p38 (= tptp.powersetE (forall @t75 (=> @t25 @t21)))) % 0.42/0.72 (assume @p39 (= tptp.setunionI (forall @t76 (=> @t6 (=> @t26 @t29))))) % 0.42/0.72 (assume @p40 (= tptp.setunionE (forall @t30 (=> @t29 (forall @t66 (=> (forall @t27 (=> @t6 (=> @t26 @t64))) @t64)))))) % 0.42/0.72 (assume @p41 (= tptp.subPowSU (forall @t30 (=> @t7 (_ @t5 (_ tptp.powerset @t28)))))) % 0.42/0.72 (assume @p42 (= tptp.exuE2 (forall @t56 (=> @t55 @t77)))) % 0.42/0.72 (assume @p43 (= tptp.nonemptyImpWitness (forall @t34 (=> @t73 (exists @t8 (and @t7 true)))))) % 0.42/0.72 (assume @p44 (= tptp.uniqinunit (forall @t50 (=> @t80 @t49)))) % 0.42/0.72 (assume @p45 (= tptp.notinsingleton (forall @t50 (=> (not @t49) (not @t82))))) % 0.42/0.72 (assume @p46 (= tptp.eqinunit (forall @t50 (=> @t49 @t80)))) % 0.42/0.72 (assume @p47 (= tptp.singletonsswitch (forall @t50 (=> @t80 @t82)))) % 0.42/0.72 (assume @p48 (= tptp.upairsetE (forall (@list @t4 @t12 @t83) (=> (_ (_ tptp.in @t83) @t84) (or (= @t83 @t4) (= @t83 @t12)))))) % 0.42/0.72 (assume @p49 (= tptp.upairsetIL (forall @t50 (_ @t5 @t84)))) % 0.42/0.72 (assume @p50 (= tptp.upairsetIR @t85)) % 0.42/0.72 (assume @p51 (= tptp.emptyE1 (forall @t88 (=> @t87 (=> (= @t86 tptp.emptyset) false))))) % 0.42/0.72 (assume @p52 (= tptp.vacuousDall (forall (@list @t51 @t4) (=> @t10 @t52)))) % 0.42/0.72 (assume @p53 (= tptp.quantDeMorgan1 @t92)) % 0.42/0.72 (assume @p54 (= tptp.quantDeMorgan2 (forall @t88 (=> @t94 @t93)))) % 0.42/0.72 (assume @p55 (= tptp.quantDeMorgan3 @t95)) % 0.42/0.72 (assume @p56 (= tptp.quantDeMorgan4 (forall @t88 (=> @t90 @t91)))) % 0.42/0.72 (assume @p57 (= tptp.prop2setI (forall @t66 (=> @t64 (_ @t31 @t65))))) % 0.42/0.72 (assume @p58 (= tptp.prop2set2propI (forall @t66 (=> @t64 (_ tptp.set2prop @t65))))) % 0.42/0.72 (assume @p59 (= tptp.notdexE @t95)) % 0.42/0.72 (assume @p60 (= tptp.notdallE @t92)) % 0.42/0.72 (assume @p61 (= tptp.exuI1 (forall @t56 (=> @t63 @t55)))) % 0.42/0.72 (assume @p62 (= tptp.exuI3 (forall @t56 (=> @t67 (=> @t96 @t55))))) % 0.42/0.72 (assume @p63 (= tptp.exuI2 (forall @t56 (=> @t77 @t55)))) % 0.42/0.72 (assume @p64 (= tptp.inCongP (forall @t9 (=> @t3 (forall @t50 (=> @t49 (=> @t7 @t97))))))) % 0.42/0.72 (assume @p65 (= tptp.in__Cong (forall @t9 (=> @t3 (forall @t50 (=> @t49 (= @t7 @t97))))))) % 0.42/0.72 (assume @p66 (= tptp.exuE3u @t98)) % 0.42/0.72 (assume @p67 (= tptp.exu__Cong (forall @t104 (=> @t103 (= @t55 @t101))))) % 0.42/0.72 (assume @p68 (= tptp.emptyset__Cong (= tptp.emptyset tptp.emptyset))) % 0.42/0.72 (assume @p69 (= tptp.setadjoin__Cong (forall @t50 (=> @t49 (forall (@list @t83 @t105) (=> (= @t83 @t105) (= (_ @t17 @t83) (_ @t78 @t105)))))))) % 0.42/0.72 (assume @p70 (= tptp.powerset__Cong (forall @t9 (=> @t3 (= @t23 @t106))))) % 0.42/0.72 (assume @p71 (= tptp.setunion__Cong (forall @t9 (=> @t3 (= @t28 (_ tptp.setunion @t1)))))) % 0.42/0.72 (assume @p72 (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.42/0.72 (assume @p73 (= tptp.exuEu @t98)) % 0.42/0.72 (assume @p74 (= tptp.descr__Cong (forall @t104 (=> @t103 (=> @t55 (=> @t101 (= @t54 (_ tptp.descr @t100)))))))) % 0.42/0.72 (assume @p75 (= tptp.dsetconstr__Cong (forall @t9 (=> @t3 (forall @t104 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t97 @t102)))) (= @t86 (_ (_ tptp.dsetconstr @t1) @t100)))))))) % 0.42/0.72 (assume @p76 (= tptp.subsetI1 @t109)) % 0.42/0.72 (assume @p77 (= tptp.eqimpsubset2 (forall @t9 (=> @t3 @t111)))) % 0.42/0.72 (assume @p78 (= tptp.eqimpsubset1 (forall @t9 (=> @t3 @t108)))) % 0.42/0.72 (assume @p79 (= tptp.subsetI2 @t109)) % 0.42/0.72 (assume @p80 (= tptp.emptysetsubset (forall @t34 (_ (_ tptp.subset tptp.emptyset) @t2)))) % 0.42/0.72 (assume @p81 (= tptp.subsetE (forall @t75 (=> @t108 @t68)))) % 0.42/0.72 (assume @p82 (= tptp.subsetE2 (forall @t75 (=> @t108 @t113)))) % 0.42/0.72 (assume @p83 (= tptp.notsubsetI (forall @t75 (=> @t7 (=> @t112 @t114))))) % 0.42/0.72 (assume @p84 (= tptp.notequalI1 (forall @t9 (=> @t114 @t115)))) % 0.42/0.72 (assume @p85 (= tptp.notequalI2 (forall @t75 (=> @t7 (=> @t112 @t115))))) % 0.42/0.72 (assume @p86 (= tptp.subsetRefl (forall @t34 (_ @t107 @t2)))) % 0.42/0.72 (assume @p87 (= tptp.subsetTrans (forall @t116 (=> @t108 (=> (_ @t110 @t41) (_ @t107 @t41)))))) % 0.42/0.72 (assume @p88 (= tptp.setadjoinSub (forall (@list @t4 @t2) (_ @t107 @t18)))) % 0.42/0.72 (assume @p89 (= tptp.setadjoinSub2 (forall @t76 (=> @t108 (_ @t107 (_ @t17 @t1)))))) % 0.42/0.72 (assume @p90 (= tptp.subset2powerset (forall @t9 (=> @t108 (_ @t117 @t106))))) % 0.42/0.72 (assume @p91 (= tptp.setextsub (forall @t9 (=> @t108 (=> @t111 @t3))))) % 0.42/0.72 (assume @p92 (= tptp.subsetemptysetimpeq (forall @t34 (=> (_ @t107 tptp.emptyset) @t70)))) % 0.42/0.72 (assume @p93 (= tptp.powersetI1 (forall @t9 (=> @t111 @t25)))) % 0.42/0.72 (assume @p94 (= tptp.powersetE1 (forall @t9 (=> @t25 @t111)))) % 0.42/0.72 (assume @p95 (= tptp.inPowerset (forall @t34 (_ @t117 @t23)))) % 0.42/0.72 (assume @p96 (= tptp.powersetsubset (forall @t9 (=> @t108 (_ (_ tptp.subset @t23) @t106))))) % 0.42/0.72 (assume @p97 (= tptp.sepInPowerset (forall @t88 (_ (_ tptp.in @t86) @t23)))) % 0.42/0.72 (assume @p98 (= tptp.sepSubset (forall @t88 (_ (_ tptp.subset @t86) @t2)))) % 0.42/0.72 (assume @p99 (= tptp.binunionIL (forall @t75 (=> @t7 @t119)))) % 0.42/0.72 (assume @p100 (= tptp.upairset2IR @t85)) % 0.42/0.72 (assume @p101 (= tptp.binunionIR (forall @t75 (=> @t6 @t119)))) % 0.42/0.72 (assume @p102 (= tptp.binunionEcases (forall (@list @t2 @t1 @t4 @t64) (=> @t119 (=> (=> @t7 @t64) (=> @t120 @t64)))))) % 0.42/0.72 (assume @p103 (= tptp.binunionE (forall @t75 (=> @t119 (or @t7 @t6))))) % 0.42/0.72 (assume @p104 (= tptp.binunionLsub (forall @t9 (_ @t107 @t118)))) % 0.42/0.72 (assume @p105 (= tptp.binunionRsub (forall @t9 (_ @t110 @t118)))) % 0.42/0.72 (assume @p106 (= tptp.binintersectI (forall @t75 (=> @t7 (=> @t6 @t123))))) % 0.42/0.72 (assume @p107 (= tptp.binintersectSubset5 (forall @t116 (=> (_ @t124 @t2) (=> (_ @t124 @t1) (_ @t124 @t122)))))) % 0.42/0.72 (assume @p108 (= tptp.binintersectEL (forall @t75 (=> @t123 @t7)))) % 0.42/0.72 (assume @p109 (= tptp.binintersectLsub (forall @t9 (_ @t125 @t2)))) % 0.42/0.72 (assume @p110 (= tptp.binintersectSubset2 (forall @t9 (=> @t108 @t126)))) % 0.42/0.72 (assume @p111 (= tptp.binintersectSubset3 (forall @t9 (=> @t127 @t111)))) % 0.42/0.72 (assume @p112 (= tptp.binintersectER (forall @t75 (=> @t123 @t6)))) % 0.42/0.72 (assume @p113 (= tptp.disjointsetsI1 (forall @t9 (=> (not (exists @t8 (and @t7 @t6))) (= @t122 tptp.emptyset))))) % 0.42/0.72 (assume @p114 (= tptp.binintersectRsub (forall @t9 (_ @t125 @t1)))) % 0.42/0.72 (assume @p115 (= tptp.binintersectSubset4 (forall @t9 (=> @t111 @t127)))) % 0.42/0.72 (assume @p116 (= tptp.binintersectSubset1 (forall @t9 (=> @t126 @t108)))) % 0.42/0.72 (assume @p117 (= tptp.bs114d (forall @t116 (= (_ @t121 (_ (_ tptp.binunion @t1) @t41)) (_ (_ tptp.binunion @t122) (_ @t121 @t41)))))) % 0.42/0.72 (assume @p118 (= tptp.setminusI (forall @t75 (=> @t7 (=> @t112 @t129))))) % 0.42/0.72 (assume @p119 (= tptp.setminusEL (forall @t75 (=> @t129 @t7)))) % 0.42/0.72 (assume @p120 (= tptp.setminusER (forall @t75 (=> @t129 @t112)))) % 0.42/0.72 (assume @p121 (= tptp.setminusSubset2 (forall @t9 (=> @t108 @t130)))) % 0.42/0.72 (assume @p122 (= tptp.setminusERneg (forall @t75 (=> @t131 @t68)))) % 0.42/0.72 (assume @p123 (= tptp.setminusELneg (forall @t75 (=> @t131 @t113)))) % 0.42/0.72 (assume @p124 (= tptp.setminusILneg (forall @t75 (=> @t71 @t131)))) % 0.42/0.72 (assume @p125 (= tptp.setminusIRneg (forall @t75 (=> @t6 @t131)))) % 0.42/0.72 (assume @p126 (= tptp.setminusLsub (forall @t9 (_ (_ tptp.subset @t128) @t2)))) % 0.42/0.72 (assume @p127 (= tptp.setminusSubset1 (forall @t9 (=> @t130 @t108)))) % 0.42/0.72 (assume @p128 (= tptp.symdiffE (forall @t75 (=> @t132 (forall @t66 (=> (=> @t7 (=> @t112 @t64)) (=> (=> @t71 @t120) @t64))))))) % 0.42/0.72 (assume @p129 (= tptp.symdiffI1 (forall @t75 (=> @t7 (=> @t112 @t132))))) % 0.42/0.72 (assume @p130 (= tptp.symdiffI2 (forall @t75 (=> @t71 (=> @t6 @t132))))) % 0.42/0.72 (assume @p131 (= tptp.symdiffIneg1 (forall @t75 (=> @t7 (=> @t6 @t133))))) % 0.42/0.72 (assume @p132 (= tptp.symdiffIneg2 (forall @t75 (=> @t71 (=> @t112 @t133))))) % 0.42/0.72 (assume @p133 (= tptp.secondinupair @t85)) % 0.42/0.72 (assume @p134 (= tptp.setukpairIL (forall @t50 (_ @t5 @t136)))) % 0.42/0.72 (assume @p135 (= tptp.setukpairIR (forall @t50 (_ @t13 @t136)))) % 0.42/0.72 (assume @p136 @t138) % 0.42/0.72 (assume @p137 @t276) % 0.42/0.72 (assume @p138 true) % 0.42/0.72 (step @p139 (= tptp.exu @t277) :rule refl :args (@t277)) % 0.42/0.72 (step @p140 (= tptp.nonempty @t278) :rule refl :args (@t278)) % 0.42/0.72 (step @p141 (= tptp.iskpair @t285) :rule refl :args (@t285)) % 0.42/0.72 (step @p142 (= tptp.kpair @t286) :rule refl :args (@t286)) % 0.42/0.72 (step @p143 :rule refl :args (@t290)) % 0.42/0.72 (step @p144 :rule refl :args ((tptp.setadjoin @t81 @t134))) % 0.42/0.72 (step @p145 :rule refl :args ((tptp.setadjoin @t84 tptp.emptyset))) % 0.42/0.72 (step @p146 :rule refl :args (tptp.emptyset)) % 0.42/0.72 (step @p147 :rule refl :args ((tptp.setadjoin @t4 @t79))) % 0.42/0.72 (step @p148 :rule refl :args (@t291)) % 0.42/0.72 (step @p149 :rule refl :args (@t4)) % 0.42/0.72 (step @p150 :rule cong :premises (@p149 @p148) :args (@t292)) % 0.42/0.72 (step @p151 :rule trans :premises (@p150 @p147)) % 0.42/0.72 (step @p152 :rule cong :premises (@p151 @p146) :args (@t293)) % 0.42/0.72 (step @p153 :rule trans :premises (@p152 @p145)) % 0.42/0.72 (step @p154 :rule refl :args (@t294)) % 0.42/0.72 (step @p155 :rule cong :premises (@p154 @p153) :args (@t295)) % 0.42/0.72 (step @p156 :rule trans :premises (@p155 @p144)) % 0.42/0.72 (step @p157 :rule refl :args (tptp.setadjoin)) % 0.42/0.72 (step @p158 :rule ho_cong :premises (@p157 @p154)) % 0.42/0.72 (step @p159 :rule ho_cong :premises (@p158 @p153)) % 0.42/0.72 (step @p160 :rule cong :premises (@p159 @p156) :args ((= (_ (_ tptp.setadjoin @t294) @t293) @t295))) % 0.42/0.72 (step @p161 :rule symm :premises (@p160)) % 0.42/0.72 (step @p162 :rule refl :args (@t135)) % 0.42/0.72 (step @p163 :rule eq_resolve :premises (@p162 @p161)) % 0.42/0.72 (step @p164 :rule ho_cong :premises (@p157 @p151)) % 0.42/0.72 (step @p165 :rule ho_cong :premises (@p164 @p146)) % 0.42/0.72 (step @p166 :rule cong :premises (@p165 @p153) :args ((= (_ (_ tptp.setadjoin @t292) tptp.emptyset) @t293))) % 0.42/0.72 (step @p167 :rule symm :premises (@p166)) % 0.42/0.72 (step @p168 :rule refl :args (@t134)) % 0.42/0.72 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 0.42/0.72 (step @p170 :rule refl :args (@t17)) % 0.42/0.72 (step @p171 :rule ho_cong :premises (@p170 @p148)) % 0.42/0.72 (step @p172 :rule cong :premises (@p171 @p151) :args ((= (_ @t17 @t291) @t292))) % 0.42/0.72 (step @p173 :rule symm :premises (@p172)) % 0.42/0.72 (step @p174 :rule refl :args (@t84)) % 0.42/0.72 (step @p175 :rule eq_resolve :premises (@p174 @p173)) % 0.42/0.72 (step @p176 :rule refl :args (@t79)) % 0.42/0.72 (step @p177 :rule cong :premises (@p176 @p148) :args ((= @t79 @t291))) % 0.42/0.72 (step @p178 :rule symm :premises (@p177)) % 0.42/0.72 (step @p179 :rule eq_resolve :premises (@p176 @p178)) % 0.42/0.72 (step @p180 :rule ho_cong :premises (@p170 @p179)) % 0.42/0.72 (step @p181 :rule trans :premises (@p180 @p175)) % 0.42/0.72 (step @p182 :rule ho_cong :premises (@p157 @p181)) % 0.42/0.72 (step @p183 :rule ho_cong :premises (@p182 @p146)) % 0.42/0.72 (step @p184 :rule trans :premises (@p183 @p169)) % 0.42/0.72 (step @p185 :rule refl :args (@t81)) % 0.42/0.72 (step @p186 :rule cong :premises (@p185 @p154) :args ((= @t81 @t294))) % 0.42/0.72 (step @p187 :rule symm :premises (@p186)) % 0.42/0.72 (step @p188 :rule eq_resolve :premises (@p185 @p187)) % 0.42/0.72 (step @p189 :rule ho_cong :premises (@p157 @p188)) % 0.42/0.72 (step @p190 :rule ho_cong :premises (@p189 @p184)) % 0.42/0.72 (step @p191 :rule trans :premises (@p190 @p163)) % 0.42/0.72 (step @p192 :rule cong :premises (@p191 @p143) :args (@t296)) % 0.42/0.72 (step @p193 :rule cong :premises (@p192) :args (@t297)) % 0.42/0.72 (step @p194 :rule cong :premises (@p191) :args (@t298)) % 0.42/0.72 (step @p195 :rule refl :args (@t287)) % 0.42/0.72 (step @p196 :rule cong :premises (@p195 @p194) :args (@t299)) % 0.42/0.72 (step @p197 :rule cong :premises (@p196) :args (@t300)) % 0.42/0.72 (step @p198 :rule refl :args (@t289)) % 0.42/0.72 (step @p199 :rule cong :premises (@p198 @p194) :args (@t301)) % 0.42/0.72 (step @p200 :rule cong :premises (@p199) :args (@t302)) % 0.42/0.73 (step @p201 :rule nary_cong :premises (@p200 @p197 @p193) :args (@t303)) % 0.42/0.73 (step @p202 :rule cong :premises (@p201) :args (@t305)) % 0.42/0.73 (step @p203 :rule cong :premises (@p202) :args (@t306)) % 0.42/0.73 (step @p204 :rule beta-reduce :args ((= (_ (lambda @t34 (not (forall @t304 (or (not (tptp.in @t289 @t307)) @t308 (not (= @t2 @t290)))))) @t135) @t306))) % 0.42/0.73 (step @p205 :rule trans :premises (@p204 @p203)) % 0.42/0.73 (step @p206 :rule alpha_equiv :args (@t314 (@list @t4) (@list @t289))) % 0.42/0.73 (step @p207 :rule cong :premises (@p206) :args (@t315)) % 0.42/0.73 (step @p208 :rule cong :premises (@p207) :args (@t316)) % 0.42/0.73 (step @p209 :rule ho_cong :premises (@p208 @p162)) % 0.42/0.73 (step @p210 :rule trans :premises (@p209 @p205)) % 0.42/0.73 (step @p211 :rule beta-reduce :args ((= (_ @t317 @t12) @t135))) % 0.42/0.73 (step @p212 :rule refl :args (@t12)) % 0.42/0.73 (step @p213 :rule beta-reduce :args ((= @t318 @t317))) % 0.42/0.73 (step @p214 :rule ho_cong :premises (@p213 @p212)) % 0.42/0.73 (step @p215 :rule trans :premises (@p214 @p211)) % 0.42/0.73 (step @p216 :rule refl :args (@t316)) % 0.42/0.73 (step @p217 :rule ho_cong :premises (@p216 @p215)) % 0.42/0.73 (step @p218 :rule trans :premises (@p217 @p210)) % 0.42/0.73 (step @p219 :rule cong :premises (@p218) :args (@t319)) % 0.42/0.73 (step @p220 :rule refl :args (tptp.kpairiskpair)) % 0.42/0.73 (step @p221 :rule cong :premises (@p220 @p219) :args (@t320)) % 0.42/0.73 (step @p222 :rule refl :args (tptp.setukpairIR)) % 0.42/0.73 (step @p223 :rule cong :premises (@p222 @p221) :args (@t321)) % 0.42/0.73 (step @p224 :rule refl :args (tptp.setukpairIL)) % 0.42/0.73 (step @p225 :rule cong :premises (@p224 @p223) :args (@t322)) % 0.42/0.73 (step @p226 :rule refl :args (tptp.secondinupair)) % 0.42/0.73 (step @p227 :rule cong :premises (@p226 @p225) :args (@t323)) % 0.42/0.73 (step @p228 :rule refl :args (tptp.symdiffIneg2)) % 0.42/0.73 (step @p229 :rule cong :premises (@p228 @p227) :args (@t324)) % 0.42/0.73 (step @p230 :rule refl :args (tptp.symdiffIneg1)) % 0.42/0.73 (step @p231 :rule cong :premises (@p230 @p229) :args (@t325)) % 0.42/0.73 (step @p232 :rule refl :args (tptp.symdiffI2)) % 0.42/0.73 (step @p233 :rule cong :premises (@p232 @p231) :args (@t326)) % 0.42/0.73 (step @p234 :rule refl :args (tptp.symdiffI1)) % 0.42/0.73 (step @p235 :rule cong :premises (@p234 @p233) :args (@t327)) % 0.42/0.73 (step @p236 :rule refl :args (tptp.symdiffE)) % 0.42/0.73 (step @p237 :rule cong :premises (@p236 @p235) :args (@t328)) % 0.42/0.73 (step @p238 :rule refl :args (tptp.setminusSubset1)) % 0.42/0.73 (step @p239 :rule cong :premises (@p238 @p237) :args (@t329)) % 0.42/0.73 (step @p240 :rule refl :args (tptp.setminusLsub)) % 0.42/0.73 (step @p241 :rule cong :premises (@p240 @p239) :args (@t330)) % 0.42/0.73 (step @p242 :rule refl :args (tptp.setminusIRneg)) % 0.42/0.73 (step @p243 :rule cong :premises (@p242 @p241) :args (@t331)) % 0.42/0.73 (step @p244 :rule refl :args (tptp.setminusILneg)) % 0.42/0.73 (step @p245 :rule cong :premises (@p244 @p243) :args (@t332)) % 0.42/0.73 (step @p246 :rule refl :args (tptp.setminusELneg)) % 0.42/0.73 (step @p247 :rule cong :premises (@p246 @p245) :args (@t333)) % 0.42/0.73 (step @p248 :rule refl :args (tptp.setminusERneg)) % 0.42/0.73 (step @p249 :rule cong :premises (@p248 @p247) :args (@t334)) % 0.42/0.73 (step @p250 :rule refl :args (tptp.setminusSubset2)) % 0.42/0.73 (step @p251 :rule cong :premises (@p250 @p249) :args (@t335)) % 0.42/0.73 (step @p252 :rule refl :args (tptp.setminusER)) % 0.42/0.73 (step @p253 :rule cong :premises (@p252 @p251) :args (@t336)) % 0.42/0.73 (step @p254 :rule refl :args (tptp.setminusEL)) % 0.42/0.73 (step @p255 :rule cong :premises (@p254 @p253) :args (@t337)) % 0.42/0.73 (step @p256 :rule refl :args (tptp.setminusI)) % 0.42/0.73 (step @p257 :rule cong :premises (@p256 @p255) :args (@t338)) % 0.42/0.73 (step @p258 :rule refl :args (tptp.bs114d)) % 0.42/0.73 (step @p259 :rule cong :premises (@p258 @p257) :args (@t339)) % 0.42/0.73 (step @p260 :rule refl :args (tptp.binintersectSubset1)) % 0.42/0.73 (step @p261 :rule cong :premises (@p260 @p259) :args (@t340)) % 0.42/0.73 (step @p262 :rule refl :args (tptp.binintersectSubset4)) % 0.42/0.73 (step @p263 :rule cong :premises (@p262 @p261) :args (@t341)) % 0.42/0.73 (step @p264 :rule refl :args (tptp.binintersectRsub)) % 0.42/0.73 (step @p265 :rule cong :premises (@p264 @p263) :args (@t342)) % 0.42/0.73 (step @p266 :rule refl :args (tptp.disjointsetsI1)) % 0.42/0.73 (step @p267 :rule cong :premises (@p266 @p265) :args (@t343)) % 0.42/0.73 (step @p268 :rule refl :args (tptp.binintersectER)) % 0.42/0.73 (step @p269 :rule cong :premises (@p268 @p267) :args (@t344)) % 0.42/0.73 (step @p270 :rule refl :args (tptp.binintersectSubset3)) % 0.42/0.73 (step @p271 :rule cong :premises (@p270 @p269) :args (@t345)) % 0.42/0.73 (step @p272 :rule refl :args (tptp.binintersectSubset2)) % 0.42/0.73 (step @p273 :rule cong :premises (@p272 @p271) :args (@t346)) % 0.42/0.73 (step @p274 :rule refl :args (tptp.binintersectLsub)) % 0.42/0.73 (step @p275 :rule cong :premises (@p274 @p273) :args (@t347)) % 0.42/0.73 (step @p276 :rule refl :args (tptp.binintersectEL)) % 0.42/0.73 (step @p277 :rule cong :premises (@p276 @p275) :args (@t348)) % 0.42/0.73 (step @p278 :rule refl :args (tptp.binintersectSubset5)) % 0.42/0.73 (step @p279 :rule cong :premises (@p278 @p277) :args (@t349)) % 0.42/0.73 (step @p280 :rule refl :args (tptp.binintersectI)) % 0.42/0.73 (step @p281 :rule cong :premises (@p280 @p279) :args (@t350)) % 0.42/0.73 (step @p282 :rule refl :args (tptp.binunionRsub)) % 0.42/0.73 (step @p283 :rule cong :premises (@p282 @p281) :args (@t351)) % 0.42/0.73 (step @p284 :rule refl :args (tptp.binunionLsub)) % 0.42/0.73 (step @p285 :rule cong :premises (@p284 @p283) :args (@t352)) % 0.42/0.73 (step @p286 :rule refl :args (tptp.binunionE)) % 0.42/0.73 (step @p287 :rule cong :premises (@p286 @p285) :args (@t353)) % 0.42/0.73 (step @p288 :rule refl :args (tptp.binunionEcases)) % 0.42/0.73 (step @p289 :rule cong :premises (@p288 @p287) :args (@t354)) % 0.42/0.73 (step @p290 :rule refl :args (tptp.binunionIR)) % 0.42/0.73 (step @p291 :rule cong :premises (@p290 @p289) :args (@t355)) % 0.42/0.73 (step @p292 :rule refl :args (tptp.upairset2IR)) % 0.42/0.73 (step @p293 :rule cong :premises (@p292 @p291) :args (@t356)) % 0.42/0.73 (step @p294 :rule refl :args (tptp.binunionIL)) % 0.42/0.73 (step @p295 :rule cong :premises (@p294 @p293) :args (@t357)) % 0.42/0.73 (step @p296 :rule refl :args (tptp.sepSubset)) % 0.42/0.73 (step @p297 :rule cong :premises (@p296 @p295) :args (@t358)) % 0.42/0.73 (step @p298 :rule refl :args (tptp.sepInPowerset)) % 0.42/0.73 (step @p299 :rule cong :premises (@p298 @p297) :args (@t359)) % 0.42/0.73 (step @p300 :rule refl :args (tptp.powersetsubset)) % 0.42/0.73 (step @p301 :rule cong :premises (@p300 @p299) :args (@t360)) % 0.42/0.73 (step @p302 :rule refl :args (tptp.inPowerset)) % 0.42/0.73 (step @p303 :rule cong :premises (@p302 @p301) :args (@t361)) % 0.42/0.73 (step @p304 :rule refl :args (tptp.powersetE1)) % 0.42/0.73 (step @p305 :rule cong :premises (@p304 @p303) :args (@t362)) % 0.42/0.73 (step @p306 :rule refl :args (tptp.powersetI1)) % 0.42/0.73 (step @p307 :rule cong :premises (@p306 @p305) :args (@t363)) % 0.42/0.73 (step @p308 :rule refl :args (tptp.subsetemptysetimpeq)) % 0.42/0.73 (step @p309 :rule cong :premises (@p308 @p307) :args (@t364)) % 0.42/0.73 (step @p310 :rule refl :args (tptp.setextsub)) % 0.42/0.73 (step @p311 :rule cong :premises (@p310 @p309) :args (@t365)) % 0.42/0.73 (step @p312 :rule refl :args (tptp.subset2powerset)) % 0.42/0.73 (step @p313 :rule cong :premises (@p312 @p311) :args (@t366)) % 0.42/0.73 (step @p314 :rule refl :args (tptp.setadjoinSub2)) % 0.42/0.73 (step @p315 :rule cong :premises (@p314 @p313) :args (@t367)) % 0.42/0.73 (step @p316 :rule refl :args (tptp.setadjoinSub)) % 0.42/0.73 (step @p317 :rule cong :premises (@p316 @p315) :args (@t368)) % 0.42/0.73 (step @p318 :rule refl :args (tptp.subsetTrans)) % 0.42/0.73 (step @p319 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(step @p768 :rule not_implies_elim2 :premises (@p767)) % 0.42/0.73 (step @p769 :rule not_implies_elim2 :premises (@p768)) % 0.42/0.73 (step @p770 :rule not_implies_elim2 :premises (@p769)) % 0.42/0.73 (step @p771 :rule not_implies_elim2 :premises (@p770)) % 0.42/0.73 (step @p772 :rule not_implies_elim2 :premises (@p771)) % 0.42/0.73 (step @p773 :rule not_implies_elim2 :premises (@p772)) % 0.42/0.73 (step @p774 :rule not_implies_elim2 :premises (@p773)) % 0.42/0.73 (step @p775 :rule not_implies_elim2 :premises (@p774)) % 0.42/0.73 (step @p776 :rule not_implies_elim2 :premises (@p775)) % 0.42/0.73 (step @p777 :rule not_implies_elim2 :premises (@p776)) % 0.42/0.73 (step @p778 :rule not_implies_elim2 :premises (@p777)) % 0.42/0.73 (step @p779 :rule not_implies_elim2 :premises (@p778)) % 0.42/0.73 (step @p780 :rule not_implies_elim2 :premises (@p779)) % 0.42/0.73 (step @p781 :rule not_implies_elim2 :premises (@p780)) % 0.42/0.73 (step @p782 :rule not_implies_elim2 :premises (@p781)) % 0.42/0.73 (step @p783 :rule not_implies_elim2 :premises (@p782)) % 0.42/0.73 (step @p784 :rule not_implies_elim2 :premises (@p783)) % 0.42/0.73 (step @p785 :rule not_implies_elim2 :premises (@p784)) % 0.42/0.73 (step @p786 :rule not_implies_elim2 :premises (@p785)) % 0.42/0.73 (step @p787 :rule not_implies_elim2 :premises (@p786)) % 0.42/0.73 (step @p788 :rule not_implies_elim2 :premises (@p787)) % 0.42/0.73 (step @p789 :rule not_implies_elim2 :premises (@p788)) % 0.42/0.73 (step @p790 :rule not_implies_elim2 :premises (@p789)) % 0.42/0.73 (step @p791 :rule not_implies_elim2 :premises (@p790)) % 0.42/0.73 (step @p792 :rule not_implies_elim2 :premises (@p791)) % 0.42/0.73 (step @p793 :rule not_implies_elim2 :premises (@p792)) % 0.42/0.73 (step @p794 :rule not_implies_elim2 :premises (@p793)) % 0.42/0.73 (step @p795 :rule not_implies_elim2 :premises (@p794)) % 0.42/0.73 (step @p796 :rule not_implies_elim2 :premises (@p795)) % 0.42/0.73 (step @p797 :rule not_implies_elim2 :premises (@p796)) % 0.42/0.73 (step @p798 :rule not_implies_elim2 :premises (@p797)) % 0.42/0.73 (step @p799 :rule not_implies_elim2 :premises (@p798)) % 0.42/0.73 (step @p800 :rule not_implies_elim2 :premises (@p799)) % 0.42/0.73 (step @p801 :rule not_implies_elim2 :premises (@p800)) % 0.42/0.73 (step @p802 :rule not_implies_elim2 :premises (@p801)) % 0.42/0.73 (step @p803 :rule not_implies_elim2 :premises (@p802)) % 0.42/0.73 (step @p804 :rule not_implies_elim2 :premises (@p803)) % 0.42/0.73 (step @p805 :rule not_implies_elim2 :premises (@p804)) % 0.42/0.73 (step @p806 :rule not_implies_elim2 :premises (@p805)) % 0.42/0.73 (step @p807 :rule not_implies_elim2 :premises (@p806)) % 0.42/0.73 (step @p808 :rule not_implies_elim2 :premises (@p807)) % 0.42/0.73 (step @p809 :rule not_implies_elim2 :premises (@p808)) % 0.42/0.73 (step @p810 :rule not_implies_elim2 :premises (@p809)) % 0.42/0.73 (step @p811 :rule not_implies_elim2 :premises (@p810)) % 0.42/0.73 (step @p812 :rule not_implies_elim2 :premises (@p811)) % 0.42/0.73 (step @p813 :rule not_implies_elim2 :premises (@p812)) % 0.42/0.73 (step @p814 :rule not_implies_elim2 :premises (@p813)) % 0.42/0.73 (step @p815 :rule not_implies_elim2 :premises (@p814)) % 0.42/0.73 (step @p816 :rule not_implies_elim2 :premises (@p815)) % 0.42/0.73 (step @p817 :rule not_implies_elim2 :premises (@p816)) % 0.42/0.73 (step @p818 :rule not_implies_elim2 :premises (@p817)) % 0.42/0.73 (step @p819 :rule not_implies_elim2 :premises (@p818)) % 0.42/0.73 (step @p820 :rule not_implies_elim2 :premises (@p819)) % 0.42/0.73 (step @p821 :rule not_implies_elim2 :premises (@p820)) % 0.42/0.73 (step @p822 :rule not_implies_elim2 :premises (@p821)) % 0.42/0.73 (step @p823 :rule not_implies_elim2 :premises (@p822)) % 0.42/0.73 (step @p824 :rule not_implies_elim2 :premises (@p823)) % 0.42/0.73 (step @p825 :rule not_implies_elim2 :premises (@p824)) % 0.42/0.73 (step @p826 :rule not_implies_elim2 :premises (@p825)) % 0.42/0.73 (step @p827 :rule not_implies_elim2 :premises (@p826)) % 0.42/0.73 (step @p828 :rule not_implies_elim2 :premises (@p827)) % 0.42/0.73 (step @p829 :rule not_implies_elim2 :premises (@p828)) % 0.42/0.73 (step @p830 :rule not_implies_elim2 :premises (@p829)) % 0.42/0.73 (step @p831 :rule not_implies_elim2 :premises (@p830)) % 0.42/0.73 (step @p832 :rule not_implies_elim2 :premises (@p831)) % 0.42/0.73 (step @p833 :rule not_implies_elim2 :premises (@p832)) % 0.42/0.73 (step @p834 :rule not_implies_elim2 :premises (@p833)) % 0.42/0.73 (step @p835 :rule not_implies_elim2 :premises (@p834)) % 0.42/0.73 (step @p836 :rule not_implies_elim2 :premises (@p835)) % 0.42/0.73 (step @p837 :rule not_implies_elim2 :premises (@p836)) % 0.42/0.73 (step @p838 :rule not_implies_elim2 :premises (@p837)) % 0.42/0.73 (step @p839 :rule not_implies_elim2 :premises (@p838)) % 0.42/0.73 (step @p840 :rule not_implies_elim2 :premises (@p839)) % 0.42/0.73 (step @p841 :rule not_implies_elim2 :premises (@p840)) % 0.42/0.73 (step @p842 :rule not_implies_elim2 :premises (@p841)) % 0.42/0.73 (step @p843 :rule not_implies_elim2 :premises (@p842)) % 0.42/0.73 (step @p844 :rule not_implies_elim2 :premises (@p843)) % 0.42/0.73 (step @p845 :rule not_implies_elim2 :premises (@p844)) % 0.42/0.73 (step @p846 :rule not_implies_elim1 :premises (@p844)) % 0.42/0.73 (step @p847 :rule cnf_equiv_pos1 :args ((= tptp.kpairiskpair @t477))) % 0.42/0.73 (step @p848 :rule chain_resolution :premises (@p847 @p846 @p845) :args ((@list false true) (@list tptp.kpairiskpair @t477))) % 0.42/0.73 (step @p849 :rule cong :premises (@p210) :args (@t478)) % 0.42/0.73 (step @p850 :rule cong :premises (@p220 @p849) :args ((= tptp.kpairiskpair @t478))) % 0.42/0.73 (step @p851 :rule refl :args (@t135)) % 0.42/0.73 (step @p852 :rule ho_cong :premises (@p568 @p851)) % 0.42/0.73 (step @p853 :rule cong :premises (@p852) :args (@t137)) % 0.42/0.73 (step @p854 :rule cong :premises (@p220 @p853) :args (@t138)) % 0.42/0.73 (step @p855 :rule trans :premises (@p854 @p850)) % 0.42/0.73 (step @p856 :rule eq_resolve :premises (@p136 @p855)) % 0.42/0.73 (step @p857 false :rule contra :premises (@p856 @p848)) % 0.42/0.73 ) % 0.42/0.73 % SZS output end Proof % 0.42/0.73 % cvc5 exiting %------------------------------------------------------------------------------