%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU640^1 : 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 : n025.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 08:52:32 AM UTC 2026 % Result : Theorem 0.39s 0.70s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU640^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:44:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.38/0.54 %----Proving TH0 % 0.39/0.70 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.70 % SZS status Theorem % 0.39/0.70 % SZS output start Proof % 0.39/0.70 ( % 0.39/0.70 (declare-sort $$unsorted 0) % 0.39/0.70 (declare-const tptp.emptyset $$unsorted) % 0.39/0.70 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.70 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.39/0.70 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.70 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.39/0.70 (declare-const tptp.ex1I Bool) % 0.39/0.70 (declare-const tptp.ex1E1 Bool) % 0.39/0.70 (declare-const tptp.singletonprop Bool) % 0.39/0.70 (declare-const tptp.setunionE2 Bool) % 0.39/0.70 (declare-const tptp.cartprodmempair Bool) % 0.39/0.70 (declare-const tptp.cartprodmempair1 Bool) % 0.39/0.70 (declare-const tptp.cartprodpairin Bool) % 0.39/0.70 (declare-const tptp.ubforcartprodlem3 Bool) % 0.39/0.70 (declare-const tptp.ubforcartprodlem2 Bool) % 0.39/0.70 (declare-const tptp.upairinpowunion Bool) % 0.39/0.70 (declare-const tptp.upairsubunion Bool) % 0.39/0.70 (declare-const tptp.upairset2E Bool) % 0.39/0.70 (declare-const tptp.singletoninpowunion Bool) % 0.39/0.70 (declare-const tptp.singletoninpowerset Bool) % 0.39/0.70 (declare-const tptp.kpairp Bool) % 0.39/0.70 (declare-const tptp.secondinupair Bool) % 0.39/0.70 (declare-const tptp.symdiffIneg2 Bool) % 0.39/0.70 (declare-const tptp.symdiffI2 Bool) % 0.39/0.70 (declare-const tptp.symdiffI1 Bool) % 0.39/0.70 (declare-const tptp.setunionsingleton2 Bool) % 0.39/0.70 (declare-const tptp.setminusIRneg Bool) % 0.39/0.70 (declare-const tptp.setminusILneg Bool) % 0.39/0.70 (declare-const tptp.setminusERneg Bool) % 0.39/0.70 (declare-const tptp.setminusI Bool) % 0.39/0.70 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.70 (declare-const tptp.quantDeMorgan1 Bool) % 0.39/0.70 (declare-const tptp.sepSubset Bool) % 0.39/0.70 (declare-const tptp.emptyE1 Bool) % 0.39/0.70 (declare-const tptp.inPowerset Bool) % 0.39/0.70 (declare-const tptp.upairsetIR Bool) % 0.39/0.70 (declare-const tptp.setunion__Cong Bool) % 0.39/0.70 (declare-const tptp.powersetE1 Bool) % 0.39/0.70 (declare-const tptp.singletonsswitch Bool) % 0.39/0.70 (declare-const tptp.subset2powerset Bool) % 0.39/0.70 (declare-const tptp.notinsingleton Bool) % 0.39/0.70 (declare-const tptp.subPowSU Bool) % 0.39/0.70 (declare-const tptp.binintersectSubset5 Bool) % 0.39/0.70 (declare-const tptp.exuE1 Bool) % 0.39/0.70 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.70 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.70 (declare-const tptp.setunionI Bool) % 0.39/0.70 (declare-const tptp.notdexE Bool) % 0.39/0.70 (declare-const tptp.powersetE Bool) % 0.39/0.70 (declare-const tptp.omegaSAx Bool) % 0.39/0.70 (declare-const tptp.setadjoinE Bool) % 0.39/0.70 (declare-const tptp.emptyinunitempty Bool) % 0.39/0.70 (declare-const tptp.setminusEL Bool) % 0.39/0.70 (declare-const tptp.descr__Cong Bool) % 0.39/0.70 (declare-const tptp.nonemptyI1 Bool) % 0.39/0.70 (declare-const tptp.emptysetAx Bool) % 0.39/0.70 (declare-const tptp.nonemptyI Bool) % 0.39/0.70 (declare-const tptp.upairsetIL Bool) % 0.39/0.70 (declare-const tptp.powersetI1 Bool) % 0.39/0.70 (declare-const tptp.eqinunit Bool) % 0.39/0.70 (declare-const tptp.upairsetE Bool) % 0.39/0.70 (declare-const tptp.replAx Bool) % 0.39/0.70 (declare-const tptp.powersetI Bool) % 0.39/0.70 (declare-const tptp.setukpairIR Bool) % 0.39/0.70 (declare-const tptp.quantDeMorgan4 Bool) % 0.39/0.70 (declare-const tptp.setunionE Bool) % 0.39/0.70 (declare-const tptp.omegaIndAx Bool) % 0.39/0.70 (declare-const tptp.setunionAx Bool) % 0.39/0.70 (declare-const tptp.setoftrueEq Bool) % 0.39/0.70 (declare-const tptp.foundationAx Bool) % 0.39/0.70 (declare-const tptp.emptysetimpfalse Bool) % 0.39/0.70 (declare-const tptp.setunionsingleton1 Bool) % 0.39/0.70 (declare-const tptp.setminusELneg Bool) % 0.39/0.70 (declare-const tptp.powersetAx Bool) % 0.39/0.70 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.70 (declare-const tptp.emptyI Bool) % 0.39/0.70 (declare-const tptp.subsetemptysetimpeq Bool) % 0.39/0.70 (declare-const tptp.setminusER Bool) % 0.39/0.70 (declare-const tptp.setadjoinAx Bool) % 0.39/0.70 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.70 (declare-const tptp.omega $$unsorted) % 0.39/0.70 (declare-const tptp.emptyInPowerset Bool) % 0.39/0.70 (declare-const tptp.eqimpsubset1 Bool) % 0.39/0.70 (declare-const tptp.binunionE Bool) % 0.39/0.70 (declare-const tptp.dsetconstrER Bool) % 0.39/0.70 (declare-const tptp.notdallE Bool) % 0.39/0.70 (declare-const tptp.binunionRsub Bool) % 0.39/0.70 (declare-const tptp.exuE2 Bool) % 0.39/0.70 (declare-const tptp.setminusSubset2 Bool) % 0.39/0.70 (declare-const tptp.dsetconstr__Cong Bool) % 0.39/0.70 (declare-const tptp.setadjoinIR Bool) % 0.39/0.70 (declare-const tptp.notinemptyset Bool) % 0.39/0.70 (declare-const tptp.subsetRefl Bool) % 0.39/0.70 (declare-const tptp.uniqinunit Bool) % 0.39/0.70 (declare-const tptp.exuE3u Bool) % 0.39/0.70 (declare-const tptp.subsetTrans Bool) % 0.39/0.70 (declare-const tptp.wellorderingAx Bool) % 0.39/0.70 (declare-const tptp.setukpairIL Bool) % 0.39/0.70 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.39/0.70 (declare-const tptp.vacuousDall Bool) % 0.39/0.70 (declare-const tptp.sepInPowerset Bool) % 0.39/0.70 (declare-const tptp.nonemptyImpWitness Bool) % 0.39/0.70 (declare-const tptp.binintersectLsub Bool) % 0.39/0.70 (declare-const tptp.setadjoinOr Bool) % 0.39/0.70 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.70 (declare-const tptp.upairset2IR Bool) % 0.39/0.70 (declare-const tptp.dsetconstrI Bool) % 0.39/0.70 (declare-const tptp.setminusSubset1 Bool) % 0.39/0.70 (declare-const tptp.emptyinPowerset Bool) % 0.39/0.70 (declare-const tptp.kpairiskpair Bool) % 0.39/0.70 (declare-const tptp.prop2setI Bool) % 0.39/0.70 (declare-const tptp.dsetconstrEL Bool) % 0.39/0.70 (declare-const tptp.prop2set2propI Bool) % 0.39/0.70 (declare-const tptp.binunionLsub Bool) % 0.39/0.70 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.39/0.70 (declare-const tptp.exuI2 Bool) % 0.39/0.70 (declare-const tptp.prop2setE Bool) % 0.39/0.70 (declare-const tptp.exuEu Bool) % 0.39/0.70 (declare-const tptp.setadjoinIL Bool) % 0.39/0.70 (declare-const tptp.omega__Cong Bool) % 0.39/0.70 (declare-const tptp.emptysetE Bool) % 0.39/0.70 (declare-const tptp.symdiffIneg1 Bool) % 0.39/0.70 (declare-const tptp.notequalI1 Bool) % 0.39/0.70 (declare-const tptp.noeltsimpempty Bool) % 0.39/0.70 (declare-const tptp.quantDeMorgan2 Bool) % 0.39/0.70 (declare-const tptp.subsetI1 Bool) % 0.39/0.70 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.39/0.70 (declare-const tptp.subsetE Bool) % 0.39/0.70 (declare-const tptp.exuI3 Bool) % 0.39/0.70 (declare-const tptp.subsetE2 Bool) % 0.39/0.70 (declare-const tptp.inCongP Bool) % 0.39/0.70 (declare-const tptp.in__Cong Bool) % 0.39/0.70 (declare-const tptp.exu__Cong Bool) % 0.39/0.70 (declare-const tptp.exuE3e Bool) % 0.39/0.70 (declare-const tptp.binintersectSubset3 Bool) % 0.39/0.70 (declare-const tptp.setadjoin__Cong Bool) % 0.39/0.70 (declare-const tptp.emptyset__Cong Bool) % 0.39/0.70 (declare-const tptp.binintersectRsub Bool) % 0.39/0.70 (declare-const tptp.nonemptyE1 Bool) % 0.39/0.70 (declare-const tptp.setextAx Bool) % 0.39/0.70 (declare-const tptp.powerset__Cong Bool) % 0.39/0.70 (declare-const tptp.bs114d Bool) % 0.39/0.70 (declare-const tptp.setunionsingleton Bool) % 0.39/0.70 (declare-const tptp.setminusLsub Bool) % 0.39/0.70 (declare-const tptp.eqimpsubset2 Bool) % 0.39/0.70 (declare-const tptp.symdiffE Bool) % 0.39/0.70 (declare-const tptp.omega0Ax Bool) % 0.39/0.70 (declare-const tptp.subsetI2 Bool) % 0.39/0.70 (declare-const tptp.emptysetsubset Bool) % 0.39/0.70 (declare-const tptp.notsubsetI Bool) % 0.39/0.70 (declare-const tptp.notequalI2 Bool) % 0.39/0.70 (declare-const tptp.setadjoinSub Bool) % 0.39/0.70 (declare-const tptp.setadjoinSub2 Bool) % 0.39/0.70 (declare-const tptp.disjointsetsI1 Bool) % 0.39/0.70 (declare-const tptp.setextsub Bool) % 0.39/0.70 (declare-const tptp.setbeta Bool) % 0.39/0.70 (declare-const tptp.binintersectSubset4 Bool) % 0.39/0.70 (declare-const tptp.powersetsubset Bool) % 0.39/0.70 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.70 (declare-const tptp.binunionIL Bool) % 0.39/0.70 (declare-const tptp.binunionIR Bool) % 0.39/0.70 (declare-const tptp.descrp Bool) % 0.39/0.70 (declare-const tptp.quantDeMorgan3 Bool) % 0.39/0.70 (declare-const tptp.binunionEcases Bool) % 0.39/0.70 (declare-const tptp.singletonsubset Bool) % 0.39/0.70 (declare-const tptp.exuI1 Bool) % 0.39/0.70 (declare-const tptp.binintersectI Bool) % 0.39/0.70 (declare-const tptp.binintersectEL Bool) % 0.39/0.70 (declare-const tptp.binintersectSubset2 Bool) % 0.39/0.70 (declare-const tptp.ubforcartprodlem1 Bool) % 0.39/0.70 (declare-const tptp.setext Bool) % 0.39/0.70 (declare-const tptp.binintersectER Bool) % 0.39/0.70 (declare-const tptp.binintersectSubset1 Bool) % 0.39/0.70 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.39/0.70 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.39/0.70 (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" $$unsorted))) (let ((_let_5 (_ tptp.setunion _let_4))) (lambda (@list _let_4) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_5) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_5) (= _let_4 (_ (_ tptp.setadjoin (_ _let_3 tptp.emptyset)) (_ (_ tptp.setadjoin (_ _let_3 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))) tptp.emptyset)))))))))))))) % 0.39/0.70 (define tptp.kpair () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.setadjoin _let_2))) (lambda (@list _let_2 _let_1) (_ (_ tptp.setadjoin (_ _let_3 tptp.emptyset)) (_ (_ tptp.setadjoin (_ _let_3 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))) tptp.emptyset))))))) % 0.39/0.70 (define tptp.singleton () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_2) (= _let_2 (_ (_ tptp.setadjoin _let_1) tptp.emptyset)))))))) % 0.39/0.70 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 0.39/0.70 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.70 (define @t2 () (@var "A" $$unsorted)) % 0.39/0.70 (define @t3 () (= @t2 @t1)) % 0.39/0.70 (define @t4 () (@var "Xx" $$unsorted)) % 0.39/0.70 (define @t5 () (_ tptp.in @t4)) % 0.39/0.70 (define @t6 () (_ @t5 @t1)) % 0.39/0.70 (define @t7 () (_ @t5 @t2)) % 0.39/0.70 (define @t8 () (@list @t4)) % 0.39/0.70 (define @t9 () (@list @t2 @t1)) % 0.39/0.70 (define @t10 () (_ @t5 tptp.emptyset)) % 0.39/0.70 (define @t11 () (forall @t8 (not @t10))) % 0.39/0.70 (define @t12 () (@var "Xy" $$unsorted)) % 0.39/0.70 (define @t13 () (_ tptp.in @t12)) % 0.39/0.70 (define @t14 () (_ @t13 @t2)) % 0.39/0.70 (define @t15 () (= @t12 @t4)) % 0.39/0.70 (define @t16 () (or @t15 @t14)) % 0.39/0.70 (define @t17 () (_ tptp.setadjoin @t4)) % 0.39/0.70 (define @t18 () (_ @t17 @t2)) % 0.39/0.70 (define @t19 () (_ @t13 @t18)) % 0.39/0.70 (define @t20 () (@list @t4 @t2 @t12)) % 0.39/0.70 (define @t21 () (=> @t6 @t7)) % 0.39/0.70 (define @t22 () (forall @t8 @t21)) % 0.39/0.70 (define @t23 () (_ tptp.powerset @t2)) % 0.39/0.70 (define @t24 () (_ tptp.in @t1)) % 0.39/0.70 (define @t25 () (_ @t24 @t23)) % 0.39/0.70 (define @t26 () (_ @t24 @t2)) % 0.39/0.70 (define @t27 () (@list @t1)) % 0.39/0.70 (define @t28 () (_ tptp.setunion @t2)) % 0.39/0.70 (define @t29 () (_ @t5 @t28)) % 0.39/0.70 (define @t30 () (@list @t2 @t4)) % 0.39/0.70 (define @t31 () (_ tptp.in tptp.emptyset)) % 0.39/0.70 (define @t32 () (_ tptp.in (_ @t17 @t4))) % 0.39/0.70 (define @t33 () (_ @t5 tptp.omega)) % 0.39/0.70 (define @t34 () (@list @t2)) % 0.39/0.70 (define @t35 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.39/0.70 (define @t36 () (@list @t12)) % 0.39/0.70 (define @t37 () (exists @t8 @t7)) % 0.39/0.70 (define @t38 () (@var "E" $$unsorted)) % 0.39/0.70 (define @t39 () (@var "D" $$unsorted)) % 0.39/0.70 (define @t40 () (_ @t13 @t39)) % 0.39/0.70 (define @t41 () (@var "C" $$unsorted)) % 0.39/0.70 (define @t42 () (_ @t13 @t41)) % 0.39/0.70 (define @t43 () (_ @t5 @t41)) % 0.39/0.70 (define @t44 () (_ (_ tptp.in @t39) @t1)) % 0.39/0.70 (define @t45 () (forall @t8 (=> @t43 @t7))) % 0.39/0.70 (define @t46 () (@list @t41)) % 0.39/0.70 (define @t47 () (_ @t5 @t39)) % 0.39/0.70 (define @t48 () (_ (_ tptp.in @t41) @t1)) % 0.39/0.70 (define @t49 () (= @t4 @t12)) % 0.39/0.70 (define @t50 () (@list @t4 @t12)) % 0.39/0.70 (define @t51 () (@var "Xphi" (-> $$unsorted Bool))) % 0.39/0.70 (define @t52 () (_ @t51 @t4)) % 0.39/0.70 (define @t53 () (lambda @t8 @t52)) % 0.39/0.70 (define @t54 () (_ tptp.descr @t53)) % 0.39/0.70 (define @t55 () (_ tptp.exu @t53)) % 0.39/0.70 (define @t56 () (@list @t51)) % 0.39/0.70 (define @t57 () (_ @t51 @t12)) % 0.39/0.70 (define @t58 () (lambda @t36 @t57)) % 0.39/0.70 (define @t59 () (_ tptp.dsetconstr @t2)) % 0.39/0.70 (define @t60 () (_ @t59 @t58)) % 0.39/0.70 (define @t61 () (_ @t5 @t60)) % 0.39/0.70 (define @t62 () (@list @t2 @t51 @t4)) % 0.39/0.70 (define @t63 () (=> @t57 @t49)) % 0.39/0.70 (define @t64 () (exists @t8 (and @t52 (forall @t36 @t63)))) % 0.39/0.70 (define @t65 () (@var "Xphi" Bool)) % 0.39/0.70 (define @t66 () (_ tptp.prop2set @t65)) % 0.39/0.70 (define @t67 () (@list @t65)) % 0.39/0.70 (define @t68 () (exists @t8 @t52)) % 0.39/0.70 (define @t69 () (=> @t7 @t6)) % 0.39/0.70 (define @t70 () (forall @t8 @t69)) % 0.39/0.70 (define @t71 () (= @t2 tptp.emptyset)) % 0.39/0.70 (define @t72 () (not @t7)) % 0.39/0.70 (define @t73 () (forall @t34 (=> (forall @t8 @t72) @t71))) % 0.39/0.70 (define @t74 () (_ tptp.nonempty @t2)) % 0.39/0.70 (define @t75 () (forall @t34 (_ @t31 @t23))) % 0.39/0.70 (define @t76 () (@list @t2 @t1 @t4)) % 0.39/0.70 (define @t77 () (@list @t2 @t4 @t1)) % 0.39/0.70 (define @t78 () (exists @t8 (forall @t36 (= @t57 @t15)))) % 0.39/0.70 (define @t79 () (_ tptp.setadjoin @t12)) % 0.39/0.70 (define @t80 () (_ @t79 tptp.emptyset)) % 0.39/0.70 (define @t81 () (_ @t5 @t80)) % 0.39/0.70 (define @t82 () (_ @t17 tptp.emptyset)) % 0.39/0.70 (define @t83 () (_ @t13 @t82)) % 0.39/0.70 (define @t84 () (@var "Xz" $$unsorted)) % 0.39/0.70 (define @t85 () (_ @t17 @t80)) % 0.39/0.70 (define @t86 () (forall (@list @t4 @t12 @t84) (=> (_ (_ tptp.in @t84) @t85) (or (= @t84 @t4) (= @t84 @t12))))) % 0.39/0.70 (define @t87 () (forall @t50 (_ @t13 @t85))) % 0.39/0.70 (define @t88 () (_ @t59 @t53)) % 0.39/0.70 (define @t89 () (and @t7 @t52)) % 0.39/0.70 (define @t90 () (exists @t8 @t89)) % 0.39/0.70 (define @t91 () (@list @t2 @t51)) % 0.39/0.70 (define @t92 () (not @t52)) % 0.39/0.70 (define @t93 () (exists @t8 (and @t7 @t92))) % 0.39/0.70 (define @t94 () (not (forall @t8 (=> @t7 @t52)))) % 0.39/0.70 (define @t95 () (forall @t91 (=> @t94 @t93))) % 0.39/0.70 (define @t96 () (not @t90)) % 0.39/0.70 (define @t97 () (forall @t8 (=> @t7 @t92))) % 0.39/0.70 (define @t98 () (forall @t91 (=> @t96 @t97))) % 0.39/0.70 (define @t99 () (=> @t52 @t63)) % 0.39/0.70 (define @t100 () (forall @t50 @t99)) % 0.39/0.70 (define @t101 () (_ @t13 @t1)) % 0.39/0.70 (define @t102 () (forall @t56 (=> @t55 @t100))) % 0.39/0.70 (define @t103 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.39/0.70 (define @t104 () (lambda @t8 (_ @t103 @t4))) % 0.39/0.70 (define @t105 () (_ tptp.exu @t104)) % 0.39/0.70 (define @t106 () (=> @t49 (= @t52 (_ @t103 @t12)))) % 0.39/0.70 (define @t107 () (forall @t50 @t106)) % 0.39/0.70 (define @t108 () (@list @t51 @t103)) % 0.39/0.70 (define @t109 () (@var "Xu" $$unsorted)) % 0.39/0.70 (define @t110 () (_ tptp.powerset @t1)) % 0.39/0.70 (define @t111 () (_ tptp.subset @t2)) % 0.39/0.70 (define @t112 () (_ @t111 @t1)) % 0.39/0.70 (define @t113 () (forall @t9 (=> @t70 @t112))) % 0.39/0.70 (define @t114 () (_ tptp.subset @t1)) % 0.39/0.70 (define @t115 () (_ @t114 @t2)) % 0.39/0.70 (define @t116 () (not @t6)) % 0.39/0.70 (define @t117 () (=> @t116 @t72)) % 0.39/0.70 (define @t118 () (not @t112)) % 0.39/0.70 (define @t119 () (not @t3)) % 0.39/0.70 (define @t120 () (@list @t2 @t1 @t41)) % 0.39/0.70 (define @t121 () (_ tptp.in @t2)) % 0.39/0.70 (define @t122 () (_ (_ tptp.binunion @t2) @t1)) % 0.39/0.70 (define @t123 () (_ @t5 @t122)) % 0.39/0.70 (define @t124 () (=> @t6 @t65)) % 0.39/0.70 (define @t125 () (_ tptp.binintersect @t2)) % 0.39/0.70 (define @t126 () (_ @t125 @t1)) % 0.39/0.70 (define @t127 () (_ @t5 @t126)) % 0.39/0.70 (define @t128 () (_ tptp.subset @t41)) % 0.39/0.70 (define @t129 () (_ tptp.subset @t126)) % 0.39/0.70 (define @t130 () (= @t126 @t2)) % 0.39/0.70 (define @t131 () (= @t126 @t1)) % 0.39/0.70 (define @t132 () (_ (_ tptp.setminus @t2) @t1)) % 0.39/0.70 (define @t133 () (_ @t5 @t132)) % 0.39/0.70 (define @t134 () (= @t132 tptp.emptyset)) % 0.39/0.70 (define @t135 () (not @t133)) % 0.39/0.70 (define @t136 () (_ @t5 (_ (_ tptp.symdiff @t2) @t1))) % 0.39/0.70 (define @t137 () (not @t136)) % 0.39/0.70 (define @t138 () (_ (_ tptp.setadjoin @t82) (_ (_ tptp.setadjoin @t85) tptp.emptyset))) % 0.39/0.70 (define @t139 () (_ tptp.setunion @t138)) % 0.39/0.70 (define @t140 () (_ (_ tptp.kpair @t4) @t12)) % 0.39/0.70 (define @t141 () (_ tptp.in @t82)) % 0.39/0.70 (define @t142 () (_ tptp.powerset @t122)) % 0.39/0.70 (define @t143 () (_ tptp.powerset @t142)) % 0.39/0.70 (define @t144 () (_ tptp.in @t140)) % 0.39/0.70 (define @t145 () (_ (_ tptp.cartprod @t2) @t1)) % 0.39/0.70 (define @t146 () (_ (_ tptp.in @t109) @t145)) % 0.39/0.70 (define @t147 () (@list @t2 @t1 @t109)) % 0.39/0.70 (define @t148 () (@var "X" $$unsorted)) % 0.39/0.70 (define @t149 () (_ tptp.setunion (_ (_ tptp.setadjoin @t2) tptp.emptyset))) % 0.39/0.70 (define @t150 () (_ tptp.singleton @t88)) % 0.39/0.70 (define @t151 () (=> @t90 @t150)) % 0.39/0.70 (define @t152 () (forall @t36 (=> @t14 @t99))) % 0.39/0.70 (define @t153 () (=> @t7 @t152)) % 0.39/0.70 (define @t154 () (forall @t8 @t153)) % 0.39/0.70 (define @t155 () (=> @t154 @t151)) % 0.39/0.70 (define @t156 () (forall @t91 @t155)) % 0.39/0.70 (define @t157 () (= tptp.singletonprop @t156)) % 0.39/0.70 (define @t158 () (_ tptp.ex1 @t2)) % 0.39/0.70 (define @t159 () (_ @t158 @t53)) % 0.39/0.70 (define @t160 () (=> @t90 @t159)) % 0.39/0.70 (define @t161 () (=> @t154 @t160)) % 0.39/0.70 (define @t162 () (forall @t91 @t161)) % 0.39/0.70 (define @t163 () (=> tptp.ex1I @t162)) % 0.39/0.70 (define @t164 () (=> tptp.ex1E1 @t163)) % 0.39/0.70 (define @t165 () (=> tptp.singletonprop @t164)) % 0.39/0.70 (define @t166 () (=> tptp.setunionsingleton @t165)) % 0.39/0.70 (define @t167 () (=> tptp.setunionsingleton2 @t166)) % 0.39/0.70 (define @t168 () (=> tptp.setunionsingleton1 @t167)) % 0.39/0.70 (define @t169 () (=> tptp.setunionE2 @t168)) % 0.39/0.70 (define @t170 () (=> tptp.cartprodmempair @t169)) % 0.39/0.70 (define @t171 () (=> tptp.cartprodmempair1 @t170)) % 0.39/0.70 (define @t172 () (=> tptp.cartprodpairin @t171)) % 0.39/0.70 (define @t173 () (=> tptp.ubforcartprodlem3 @t172)) % 0.39/0.70 (define @t174 () (=> tptp.ubforcartprodlem2 @t173)) % 0.39/0.70 (define @t175 () (=> tptp.ubforcartprodlem1 @t174)) % 0.39/0.70 (define @t176 () (=> tptp.upairinpowunion @t175)) % 0.39/0.70 (define @t177 () (=> tptp.upairsubunion @t176)) % 0.39/0.70 (define @t178 () (=> tptp.upairset2E @t177)) % 0.39/0.70 (define @t179 () (=> tptp.singletoninpowunion @t178)) % 0.39/0.70 (define @t180 () (=> tptp.singletoninpowerset @t179)) % 0.39/0.70 (define @t181 () (=> tptp.singletonsubset @t180)) % 0.39/0.70 (define @t182 () (=> tptp.kpairp @t181)) % 0.39/0.70 (define @t183 () (=> tptp.kpairiskpair @t182)) % 0.39/0.70 (define @t184 () (=> tptp.setukpairIR @t183)) % 0.39/0.70 (define @t185 () (=> tptp.setukpairIL @t184)) % 0.39/0.70 (define @t186 () (=> tptp.secondinupair @t185)) % 0.39/0.70 (define @t187 () (=> tptp.symdiffIneg2 @t186)) % 0.39/0.70 (define @t188 () (=> tptp.symdiffIneg1 @t187)) % 0.39/0.70 (define @t189 () (=> tptp.symdiffI2 @t188)) % 0.39/0.70 (define @t190 () (=> tptp.symdiffI1 @t189)) % 0.39/0.70 (define @t191 () (=> tptp.symdiffE @t190)) % 0.39/0.70 (define @t192 () (=> tptp.setminusSubset1 @t191)) % 0.39/0.70 (define @t193 () (=> tptp.setminusLsub @t192)) % 0.39/0.70 (define @t194 () (=> tptp.setminusIRneg @t193)) % 0.39/0.70 (define @t195 () (=> tptp.setminusILneg @t194)) % 0.39/0.70 (define @t196 () (=> tptp.setminusELneg @t195)) % 0.39/0.70 (define @t197 () (=> tptp.setminusERneg @t196)) % 0.39/0.70 (define @t198 () (=> tptp.setminusSubset2 @t197)) % 0.39/0.70 (define @t199 () (=> tptp.setminusER @t198)) % 0.39/0.70 (define @t200 () (=> tptp.setminusEL @t199)) % 0.39/0.70 (define @t201 () (=> tptp.setminusI @t200)) % 0.39/0.70 (define @t202 () (=> tptp.bs114d @t201)) % 0.39/0.70 (define @t203 () (=> tptp.binintersectSubset1 @t202)) % 0.39/0.70 (define @t204 () (=> tptp.binintersectSubset4 @t203)) % 0.39/0.70 (define @t205 () (=> tptp.binintersectRsub @t204)) % 0.39/0.70 (define @t206 () (=> tptp.disjointsetsI1 @t205)) % 0.39/0.70 (define @t207 () (=> tptp.binintersectER @t206)) % 0.39/0.70 (define @t208 () (=> tptp.binintersectSubset3 @t207)) % 0.39/0.70 (define @t209 () (=> tptp.binintersectSubset2 @t208)) % 0.39/0.70 (define @t210 () (=> tptp.binintersectLsub @t209)) % 0.39/0.70 (define @t211 () (=> tptp.binintersectEL @t210)) % 0.39/0.70 (define @t212 () (=> tptp.binintersectSubset5 @t211)) % 0.39/0.70 (define @t213 () (=> tptp.binintersectI @t212)) % 0.39/0.70 (define @t214 () (=> tptp.binunionRsub @t213)) % 0.39/0.70 (define @t215 () (=> tptp.binunionLsub @t214)) % 0.39/0.70 (define @t216 () (=> tptp.binunionE @t215)) % 0.39/0.70 (define @t217 () (=> tptp.binunionEcases @t216)) % 0.39/0.70 (define @t218 () (=> tptp.binunionIR @t217)) % 0.39/0.70 (define @t219 () (=> tptp.upairset2IR @t218)) % 0.39/0.70 (define @t220 () (=> tptp.binunionIL @t219)) % 0.39/0.70 (define @t221 () (=> tptp.sepSubset @t220)) % 0.39/0.70 (define @t222 () (=> tptp.sepInPowerset @t221)) % 0.39/0.70 (define @t223 () (=> tptp.powersetsubset @t222)) % 0.39/0.70 (define @t224 () (=> tptp.inPowerset @t223)) % 0.39/0.70 (define @t225 () (=> tptp.powersetE1 @t224)) % 0.39/0.70 (define @t226 () (=> tptp.powersetI1 @t225)) % 0.39/0.70 (define @t227 () (=> tptp.subsetemptysetimpeq @t226)) % 0.39/0.70 (define @t228 () (=> tptp.setextsub @t227)) % 0.39/0.70 (define @t229 () (=> tptp.subset2powerset @t228)) % 0.39/0.70 (define @t230 () (=> tptp.setadjoinSub2 @t229)) % 0.39/0.70 (define @t231 () (=> tptp.setadjoinSub @t230)) % 0.39/0.70 (define @t232 () (=> tptp.subsetTrans @t231)) % 0.39/0.70 (define @t233 () (=> tptp.subsetRefl @t232)) % 0.39/0.70 (define @t234 () (=> tptp.notequalI2 @t233)) % 0.39/0.70 (define @t235 () (=> tptp.notequalI1 @t234)) % 0.39/0.70 (define @t236 () (=> tptp.notsubsetI @t235)) % 0.39/0.70 (define @t237 () (=> tptp.subsetE2 @t236)) % 0.39/0.70 (define @t238 () (=> tptp.subsetE @t237)) % 0.39/0.70 (define @t239 () (=> tptp.emptysetsubset @t238)) % 0.39/0.70 (define @t240 () (=> tptp.subsetI2 @t239)) % 0.39/0.70 (define @t241 () (=> tptp.eqimpsubset1 @t240)) % 0.39/0.70 (define @t242 () (=> tptp.eqimpsubset2 @t241)) % 0.39/0.70 (define @t243 () (=> tptp.subsetI1 @t242)) % 0.39/0.70 (define @t244 () (=> tptp.dsetconstr__Cong @t243)) % 0.39/0.70 (define @t245 () (=> tptp.descr__Cong @t244)) % 0.39/0.70 (define @t246 () (=> tptp.exuEu @t245)) % 0.39/0.70 (define @t247 () (=> tptp.omega__Cong @t246)) % 0.39/0.70 (define @t248 () (=> tptp.setunion__Cong @t247)) % 0.39/0.70 (define @t249 () (=> tptp.powerset__Cong @t248)) % 0.39/0.70 (define @t250 () (=> tptp.setadjoin__Cong @t249)) % 0.39/0.70 (define @t251 () (=> tptp.emptyset__Cong @t250)) % 0.39/0.70 (define @t252 () (=> tptp.exu__Cong @t251)) % 0.39/0.70 (define @t253 () (=> tptp.exuE3u @t252)) % 0.39/0.70 (define @t254 () (=> tptp.in__Cong @t253)) % 0.39/0.70 (define @t255 () (=> tptp.inCongP @t254)) % 0.39/0.70 (define @t256 () (=> tptp.exuI2 @t255)) % 0.39/0.70 (define @t257 () (=> tptp.exuI3 @t256)) % 0.39/0.70 (define @t258 () (=> tptp.exuI1 @t257)) % 0.39/0.70 (define @t259 () (=> tptp.notdallE @t258)) % 0.39/0.70 (define @t260 () (=> tptp.notdexE @t259)) % 0.39/0.70 (define @t261 () (=> tptp.prop2set2propI @t260)) % 0.39/0.70 (define @t262 () (=> tptp.prop2setI @t261)) % 0.39/0.70 (define @t263 () (=> tptp.quantDeMorgan4 @t262)) % 0.39/0.70 (define @t264 () (=> tptp.quantDeMorgan3 @t263)) % 0.39/0.70 (define @t265 () (=> tptp.quantDeMorgan2 @t264)) % 0.39/0.70 (define @t266 () (=> tptp.quantDeMorgan1 @t265)) % 0.39/0.70 (define @t267 () (=> tptp.vacuousDall @t266)) % 0.39/0.70 (define @t268 () (=> tptp.emptyE1 @t267)) % 0.39/0.70 (define @t269 () (=> tptp.upairsetIR @t268)) % 0.39/0.70 (define @t270 () (=> tptp.upairsetIL @t269)) % 0.39/0.70 (define @t271 () (=> tptp.upairsetE @t270)) % 0.39/0.70 (define @t272 () (=> tptp.singletonsswitch @t271)) % 0.39/0.70 (define @t273 () (=> tptp.eqinunit @t272)) % 0.39/0.70 (define @t274 () (=> tptp.notinsingleton @t273)) % 0.39/0.70 (define @t275 () (=> tptp.uniqinunit @t274)) % 0.39/0.70 (define @t276 () (=> tptp.nonemptyImpWitness @t275)) % 0.39/0.70 (define @t277 () (=> tptp.exuE2 @t276)) % 0.39/0.70 (define @t278 () (=> tptp.subPowSU @t277)) % 0.39/0.70 (define @t279 () (=> tptp.setunionE @t278)) % 0.39/0.70 (define @t280 () (=> tptp.setunionI @t279)) % 0.39/0.70 (define @t281 () (=> tptp.powersetE @t280)) % 0.39/0.70 (define @t282 () (=> tptp.emptyInPowerset @t281)) % 0.39/0.70 (define @t283 () (=> tptp.emptyinPowerset @t282)) % 0.39/0.70 (define @t284 () (=> tptp.powersetI @t283)) % 0.39/0.70 (define @t285 () (=> tptp.setoftrueEq @t284)) % 0.39/0.70 (define @t286 () (=> tptp.setadjoinOr @t285)) % 0.39/0.70 (define @t287 () (=> tptp.setadjoinE @t286)) % 0.39/0.70 (define @t288 () (=> tptp.setadjoinIR @t287)) % 0.39/0.70 (define @t289 () (=> tptp.emptyinunitempty @t288)) % 0.39/0.70 (define @t290 () (=> tptp.setadjoinIL @t289)) % 0.39/0.70 (define @t291 () (=> tptp.nonemptyI1 @t290)) % 0.39/0.70 (define @t292 () (=> tptp.nonemptyI @t291)) % 0.39/0.70 (define @t293 () (=> tptp.nonemptyE1 @t292)) % 0.39/0.70 (define @t294 () (=> tptp.setbeta @t293)) % 0.39/0.70 (define @t295 () (=> tptp.noeltsimpempty @t294)) % 0.39/0.70 (define @t296 () (=> tptp.emptyI @t295)) % 0.39/0.70 (define @t297 () (=> tptp.setext @t296)) % 0.39/0.70 (define @t298 () (=> tptp.exuE3e @t297)) % 0.39/0.70 (define @t299 () (=> tptp.notinemptyset @t298)) % 0.39/0.70 (define @t300 () (=> tptp.emptysetimpfalse @t299)) % 0.39/0.70 (define @t301 () (=> tptp.emptysetE @t300)) % 0.39/0.70 (define @t302 () (=> tptp.prop2setE @t301)) % 0.39/0.70 (define @t303 () (=> tptp.exuE1 @t302)) % 0.39/0.70 (define @t304 () (=> tptp.dsetconstrER @t303)) % 0.39/0.70 (define @t305 () (=> tptp.dsetconstrEL @t304)) % 0.39/0.70 (define @t306 () (=> tptp.dsetconstrI @t305)) % 0.39/0.70 (define @t307 () (=> tptp.descrp @t306)) % 0.39/0.70 (define @t308 () (=> tptp.wellorderingAx @t307)) % 0.39/0.70 (define @t309 () (=> tptp.foundationAx @t308)) % 0.39/0.70 (define @t310 () (=> tptp.replAx @t309)) % 0.39/0.70 (define @t311 () (=> tptp.omegaIndAx @t310)) % 0.39/0.70 (define @t312 () (=> tptp.omegaSAx @t311)) % 0.39/0.70 (define @t313 () (=> tptp.omega0Ax @t312)) % 0.39/0.70 (define @t314 () (=> tptp.setunionAx @t313)) % 0.39/0.70 (define @t315 () (=> tptp.powersetAx @t314)) % 0.39/0.70 (define @t316 () (=> tptp.setadjoinAx @t315)) % 0.39/0.70 (define @t317 () (=> tptp.emptysetAx @t316)) % 0.39/0.70 (define @t318 () (=> tptp.setextAx @t317)) % 0.39/0.70 (define @t319 () (not @t318)) % 0.39/0.70 (define @t320 () (lambda @t56 @t64)) % 0.39/0.70 (define @t321 () (lambda @t8 (not (= @t4 tptp.emptyset)))) % 0.39/0.70 (define @t322 () (lambda @t34 (exists @t8 (and @t29 (exists @t36 (and (_ @t13 @t28) (= @t2 @t138))))))) % 0.39/0.70 (define @t323 () (lambda @t50 @t138)) % 0.39/0.70 (define @t324 () (= @t2 @t82)) % 0.39/0.70 (define @t325 () (and @t7 @t324)) % 0.39/0.70 (define @t326 () (exists @t8 @t325)) % 0.39/0.70 (define @t327 () (lambda @t34 @t326)) % 0.39/0.70 (define @t328 () (lambda @t91 @t150)) % 0.39/0.70 (define @t329 () (@var "BOUND_VARIABLE_11110" $$unsorted)) % 0.39/0.70 (define @t330 () (not (_ @t51 @t329))) % 0.39/0.70 (define @t331 () (not (tptp.in @t329 @t2))) % 0.39/0.70 (define @t332 () (tptp.dsetconstr @t2 @t51)) % 0.39/0.70 (define @t333 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.39/0.70 (define @t334 () (not (forall @t8 (or (not (tptp.in @t4 @t332)) (not (= @t333 @t332)))))) % 0.39/0.70 (define @t335 () (@var "BOUND_VARIABLE_11090" $$unsorted)) % 0.39/0.70 (define @t336 () (= @t4 @t335)) % 0.39/0.70 (define @t337 () (not (_ @t51 @t335))) % 0.39/0.70 (define @t338 () (not (tptp.in @t335 @t2))) % 0.39/0.70 (define @t339 () (_ @t51 @t4)) % 0.39/0.70 (define @t340 () (not @t339)) % 0.39/0.70 (define @t341 () (tptp.in @t4 @t2)) % 0.39/0.70 (define @t342 () (not @t341)) % 0.39/0.70 (define @t343 () (or @t342 @t340 @t338 @t337 @t336)) % 0.39/0.70 (define @t344 () (@list @t4 @t335)) % 0.39/0.70 (define @t345 () (forall @t344 @t343)) % 0.39/0.70 (define @t346 () (not @t345)) % 0.39/0.70 (define @t347 () (or @t331 @t330)) % 0.39/0.70 (define @t348 () (or @t346 @t347 @t334)) % 0.39/0.70 (define @t349 () (forall (@list @t2 @t51 @t329) @t348)) % 0.39/0.70 (define @t350 () (@list @t329)) % 0.39/0.70 (define @t351 () (forall @t350 @t348)) % 0.39/0.70 (define @t352 () (forall @t350 @t347)) % 0.39/0.70 (define @t353 () (@list @t4)) % 0.39/0.70 (define @t354 () (or @t346 @t352 @t334)) % 0.39/0.70 (define @t355 () (forall @t8 (or @t342 @t340))) % 0.39/0.70 (define @t356 () (or @t346 @t355 @t334)) % 0.39/0.70 (define @t357 () (not @t355)) % 0.39/0.70 (define @t358 () (=> @t357 @t334)) % 0.39/0.70 (define @t359 () (@var "BOUND_VARIABLE_11143" $$unsorted)) % 0.39/0.70 (define @t360 () (_ @t51 @t359)) % 0.39/0.70 (define @t361 () (@list @t359)) % 0.39/0.70 (define @t362 () (lambda @t361 @t360)) % 0.39/0.70 (define @t363 () (tptp.dsetconstr @t2 @t362)) % 0.39/0.70 (define @t364 () (= @t333 @t363)) % 0.39/0.70 (define @t365 () (not @t364)) % 0.39/0.70 (define @t366 () (tptp.in @t4 @t363)) % 0.39/0.70 (define @t367 () (not @t366)) % 0.39/0.70 (define @t368 () (or @t367 @t365)) % 0.39/0.70 (define @t369 () (_ @t51 @t359)) % 0.39/0.70 (define @t370 () (lambda @t361 @t369)) % 0.39/0.70 (define @t371 () (tptp.dsetconstr @t2 @t370)) % 0.39/0.70 (define @t372 () (= @t333 @t371)) % 0.39/0.70 (define @t373 () (not @t372)) % 0.39/0.70 (define @t374 () (tptp.in @t4 @t371)) % 0.39/0.70 (define @t375 () (not @t374)) % 0.39/0.70 (define @t376 () (or @t375 @t373)) % 0.39/0.70 (define @t377 () (tptp.dsetconstr @t2 @t53)) % 0.39/0.70 (define @t378 () (= @t333 @t377)) % 0.39/0.70 (define @t379 () (not @t378)) % 0.39/0.70 (define @t380 () (tptp.in @t4 @t377)) % 0.39/0.70 (define @t381 () (not @t380)) % 0.39/0.70 (define @t382 () (or @t381 @t379)) % 0.39/0.70 (define @t383 () (forall @t8 @t382)) % 0.39/0.70 (define @t384 () (not @t383)) % 0.39/0.70 (define @t385 () (lambda @t56 @t334)) % 0.39/0.70 (define @t386 () (_ (lambda @t91 @t334) @t2)) % 0.39/0.70 (define @t387 () (or @t72 @t92)) % 0.39/0.70 (define @t388 () (forall @t8 (not @t89))) % 0.39/0.70 (define @t389 () (not @t388)) % 0.39/0.70 (define @t390 () (=> @t90 (_ @t386 @t53))) % 0.39/0.70 (define @t391 () (or @t338 @t337 @t336)) % 0.39/0.70 (define @t392 () (or @t342 @t340 @t391)) % 0.39/0.70 (define @t393 () (forall @t344 @t392)) % 0.39/0.70 (define @t394 () (@list @t335)) % 0.39/0.70 (define @t395 () (forall @t394 @t392)) % 0.39/0.70 (define @t396 () (forall @t394 @t391)) % 0.39/0.70 (define @t397 () (or @t342 @t340 @t396)) % 0.39/0.70 (define @t398 () (_ @t51 @t12)) % 0.39/0.70 (define @t399 () (tptp.in @t12 @t2)) % 0.39/0.70 (define @t400 () (forall @t36 (or (not @t399) (not @t398) @t49))) % 0.39/0.70 (define @t401 () (or @t72 @t92 @t400)) % 0.39/0.70 (define @t402 () (or @t92 @t400)) % 0.39/0.70 (define @t403 () (not @t57)) % 0.39/0.70 (define @t404 () (not @t14)) % 0.39/0.70 (define @t405 () (or @t404 @t403 @t49)) % 0.39/0.70 (define @t406 () (forall @t36 @t405)) % 0.39/0.70 (define @t407 () (or @t92 @t406)) % 0.39/0.70 (define @t408 () (or @t92 @t405)) % 0.39/0.70 (define @t409 () (or @t404 @t92 @t403 @t49)) % 0.39/0.70 (define @t410 () (or @t92 @t403 @t49)) % 0.39/0.70 (define @t411 () (=> @t154 @t390)) % 0.39/0.70 (define @t412 () (forall @t91 @t411)) % 0.39/0.70 (define @t413 () (=> tptp.ex1I @t412)) % 0.39/0.70 (define @t414 () (=> tptp.ex1E1 @t413)) % 0.39/0.70 (define @t415 () (=> tptp.singletonprop @t414)) % 0.39/0.70 (define @t416 () (=> tptp.setunionsingleton @t415)) % 0.39/0.70 (define @t417 () (=> tptp.setunionsingleton2 @t416)) % 0.39/0.70 (define @t418 () (=> tptp.setunionsingleton1 @t417)) % 0.39/0.70 (define @t419 () (=> tptp.setunionE2 @t418)) % 0.39/0.70 (define @t420 () (=> tptp.cartprodmempair @t419)) % 0.39/0.70 (define @t421 () (=> tptp.cartprodmempair1 @t420)) % 0.39/0.70 (define @t422 () (=> tptp.cartprodpairin @t421)) % 0.39/0.70 (define @t423 () (=> tptp.ubforcartprodlem3 @t422)) % 0.39/0.70 (define @t424 () (=> tptp.ubforcartprodlem2 @t423)) % 0.39/0.70 (define @t425 () (=> tptp.ubforcartprodlem1 @t424)) % 0.39/0.70 (define @t426 () (=> tptp.upairinpowunion @t425)) % 0.39/0.70 (define @t427 () (=> tptp.upairsubunion @t426)) % 0.39/0.70 (define @t428 () (=> tptp.upairset2E @t427)) % 0.39/0.70 (define @t429 () (=> tptp.singletoninpowunion @t428)) % 0.39/0.70 (define @t430 () (=> tptp.singletoninpowerset @t429)) % 0.39/0.70 (define @t431 () (=> tptp.singletonsubset @t430)) % 0.39/0.70 (define @t432 () (=> tptp.kpairp @t431)) % 0.39/0.70 (define @t433 () (=> tptp.kpairiskpair @t432)) % 0.39/0.70 (define @t434 () (=> tptp.setukpairIR @t433)) % 0.39/0.70 (define @t435 () (=> tptp.setukpairIL @t434)) % 0.39/0.70 (define @t436 () (=> tptp.secondinupair @t435)) % 0.39/0.70 (define @t437 () (=> tptp.symdiffIneg2 @t436)) % 0.39/0.70 (define @t438 () (=> tptp.symdiffIneg1 @t437)) % 0.39/0.70 (define @t439 () (=> tptp.symdiffI2 @t438)) % 0.39/0.70 (define @t440 () (=> tptp.symdiffI1 @t439)) % 0.39/0.70 (define @t441 () (=> tptp.symdiffE @t440)) % 0.39/0.70 (define @t442 () (=> tptp.setminusSubset1 @t441)) % 0.39/0.70 (define @t443 () (=> tptp.setminusLsub @t442)) % 0.39/0.70 (define @t444 () (=> tptp.setminusIRneg @t443)) % 0.39/0.70 (define @t445 () (=> tptp.setminusILneg @t444)) % 0.39/0.70 (define @t446 () (=> tptp.setminusELneg @t445)) % 0.39/0.70 (define @t447 () (=> tptp.setminusERneg @t446)) % 0.39/0.70 (define @t448 () (=> tptp.setminusSubset2 @t447)) % 0.39/0.70 (define @t449 () (=> tptp.setminusER @t448)) % 0.39/0.70 (define @t450 () (=> tptp.setminusEL @t449)) % 0.39/0.70 (define @t451 () (=> tptp.setminusI @t450)) % 0.39/0.70 (define @t452 () (=> tptp.bs114d @t451)) % 0.39/0.70 (define @t453 () (=> tptp.binintersectSubset1 @t452)) % 0.39/0.70 (define @t454 () (=> tptp.binintersectSubset4 @t453)) % 0.39/0.70 (define @t455 () (=> tptp.binintersectRsub @t454)) % 0.39/0.70 (define @t456 () (=> tptp.disjointsetsI1 @t455)) % 0.39/0.70 (define @t457 () (=> tptp.binintersectER @t456)) % 0.39/0.70 (define @t458 () (=> tptp.binintersectSubset3 @t457)) % 0.39/0.70 (define @t459 () (=> tptp.binintersectSubset2 @t458)) % 0.39/0.70 (define @t460 () (=> tptp.binintersectLsub @t459)) % 0.39/0.70 (define @t461 () (=> tptp.binintersectEL @t460)) % 0.39/0.70 (define @t462 () (=> tptp.binintersectSubset5 @t461)) % 0.39/0.70 (define @t463 () (=> tptp.binintersectI @t462)) % 0.39/0.70 (define @t464 () (=> tptp.binunionRsub @t463)) % 0.39/0.70 (define @t465 () (=> tptp.binunionLsub @t464)) % 0.39/0.70 (define @t466 () (=> tptp.binunionE @t465)) % 0.39/0.70 (define @t467 () (=> tptp.binunionEcases @t466)) % 0.39/0.70 (define @t468 () (=> tptp.binunionIR @t467)) % 0.39/0.70 (define @t469 () (=> tptp.upairset2IR @t468)) % 0.39/0.70 (define @t470 () (=> tptp.binunionIL @t469)) % 0.39/0.70 (define @t471 () (=> tptp.sepSubset @t470)) % 0.39/0.70 (define @t472 () (=> tptp.sepInPowerset @t471)) % 0.39/0.70 (define @t473 () (=> tptp.powersetsubset @t472)) % 0.39/0.70 (define @t474 () (=> tptp.inPowerset @t473)) % 0.39/0.70 (define @t475 () (=> tptp.powersetE1 @t474)) % 0.39/0.70 (define @t476 () (=> tptp.powersetI1 @t475)) % 0.39/0.70 (define @t477 () (=> tptp.subsetemptysetimpeq @t476)) % 0.39/0.70 (define @t478 () (=> tptp.setextsub @t477)) % 0.39/0.70 (define @t479 () (=> tptp.subset2powerset @t478)) % 0.39/0.70 (define @t480 () (=> tptp.setadjoinSub2 @t479)) % 0.39/0.70 (define @t481 () (=> tptp.setadjoinSub @t480)) % 0.39/0.70 (define @t482 () (=> tptp.subsetTrans @t481)) % 0.39/0.70 (define @t483 () (=> tptp.subsetRefl @t482)) % 0.39/0.70 (define @t484 () (=> tptp.notequalI2 @t483)) % 0.39/0.70 (define @t485 () (=> tptp.notequalI1 @t484)) % 0.39/0.70 (define @t486 () (=> tptp.notsubsetI @t485)) % 0.39/0.70 (define @t487 () (=> tptp.subsetE2 @t486)) % 0.39/0.70 (define @t488 () (=> tptp.subsetE @t487)) % 0.39/0.70 (define @t489 () (=> tptp.emptysetsubset @t488)) % 0.39/0.70 (define @t490 () (=> tptp.subsetI2 @t489)) % 0.39/0.70 (define @t491 () (=> tptp.eqimpsubset1 @t490)) % 0.39/0.70 (define @t492 () (=> tptp.eqimpsubset2 @t491)) % 0.39/0.70 (define @t493 () (=> tptp.subsetI1 @t492)) % 0.39/0.70 (define @t494 () (=> tptp.dsetconstr__Cong @t493)) % 0.39/0.70 (define @t495 () (=> tptp.descr__Cong @t494)) % 0.39/0.70 (define @t496 () (=> tptp.exuEu @t495)) % 0.39/0.70 (define @t497 () (=> tptp.omega__Cong @t496)) % 0.39/0.70 (define @t498 () (=> tptp.setunion__Cong @t497)) % 0.39/0.70 (define @t499 () (=> tptp.powerset__Cong @t498)) % 0.39/0.70 (define @t500 () (=> tptp.setadjoin__Cong @t499)) % 0.39/0.70 (define @t501 () (=> tptp.emptyset__Cong @t500)) % 0.39/0.70 (define @t502 () (=> tptp.exu__Cong @t501)) % 0.39/0.70 (define @t503 () (=> tptp.exuE3u @t502)) % 0.39/0.70 (define @t504 () (=> tptp.in__Cong @t503)) % 0.39/0.70 (define @t505 () (=> tptp.inCongP @t504)) % 0.39/0.70 (define @t506 () (=> tptp.exuI2 @t505)) % 0.39/0.70 (define @t507 () (=> tptp.exuI3 @t506)) % 0.39/0.70 (define @t508 () (=> tptp.exuI1 @t507)) % 0.39/0.70 (define @t509 () (=> tptp.notdallE @t508)) % 0.39/0.70 (define @t510 () (=> tptp.notdexE @t509)) % 0.39/0.70 (define @t511 () (=> tptp.prop2set2propI @t510)) % 0.39/0.70 (define @t512 () (=> tptp.prop2setI @t511)) % 0.39/0.70 (define @t513 () (=> tptp.quantDeMorgan4 @t512)) % 0.39/0.70 (define @t514 () (=> tptp.quantDeMorgan3 @t513)) % 0.39/0.70 (define @t515 () (=> tptp.quantDeMorgan2 @t514)) % 0.39/0.70 (define @t516 () (=> tptp.quantDeMorgan1 @t515)) % 0.39/0.70 (define @t517 () (=> tptp.vacuousDall @t516)) % 0.39/0.70 (define @t518 () (=> tptp.emptyE1 @t517)) % 0.39/0.70 (define @t519 () (=> tptp.upairsetIR @t518)) % 0.39/0.70 (define @t520 () (=> tptp.upairsetIL @t519)) % 0.39/0.70 (define @t521 () (=> tptp.upairsetE @t520)) % 0.39/0.70 (define @t522 () (=> tptp.singletonsswitch @t521)) % 0.39/0.70 (define @t523 () (=> tptp.eqinunit @t522)) % 0.39/0.70 (define @t524 () (=> tptp.notinsingleton @t523)) % 0.39/0.70 (define @t525 () (=> tptp.uniqinunit @t524)) % 0.39/0.70 (define @t526 () (=> tptp.nonemptyImpWitness @t525)) % 0.39/0.70 (define @t527 () (=> tptp.exuE2 @t526)) % 0.39/0.70 (define @t528 () (=> tptp.subPowSU @t527)) % 0.39/0.70 (define @t529 () (=> tptp.setunionE @t528)) % 0.39/0.70 (define @t530 () (=> tptp.setunionI @t529)) % 0.39/0.70 (define @t531 () (=> tptp.powersetE @t530)) % 0.39/0.70 (define @t532 () (=> tptp.emptyInPowerset @t531)) % 0.39/0.70 (define @t533 () (=> tptp.emptyinPowerset @t532)) % 0.39/0.70 (define @t534 () (=> tptp.powersetI @t533)) % 0.39/0.70 (define @t535 () (=> tptp.setoftrueEq @t534)) % 0.39/0.70 (define @t536 () (=> tptp.setadjoinOr @t535)) % 0.39/0.70 (define @t537 () (=> tptp.setadjoinE @t536)) % 0.39/0.70 (define @t538 () (=> tptp.setadjoinIR @t537)) % 0.39/0.70 (define @t539 () (=> tptp.emptyinunitempty @t538)) % 0.39/0.70 (define @t540 () (=> tptp.setadjoinIL @t539)) % 0.39/0.70 (define @t541 () (=> tptp.nonemptyI1 @t540)) % 0.39/0.70 (define @t542 () (=> tptp.nonemptyI @t541)) % 0.39/0.70 (define @t543 () (=> tptp.nonemptyE1 @t542)) % 0.39/0.70 (define @t544 () (=> tptp.setbeta @t543)) % 0.39/0.70 (define @t545 () (=> tptp.noeltsimpempty @t544)) % 0.39/0.70 (define @t546 () (=> tptp.emptyI @t545)) % 0.39/0.70 (define @t547 () (=> tptp.setext @t546)) % 0.39/0.70 (define @t548 () (=> tptp.exuE3e @t547)) % 0.39/0.70 (define @t549 () (=> tptp.notinemptyset @t548)) % 0.39/0.70 (define @t550 () (=> tptp.emptysetimpfalse @t549)) % 0.39/0.70 (define @t551 () (=> tptp.emptysetE @t550)) % 0.39/0.70 (define @t552 () (=> tptp.prop2setE @t551)) % 0.39/0.70 (define @t553 () (=> tptp.exuE1 @t552)) % 0.39/0.70 (define @t554 () (=> tptp.dsetconstrER @t553)) % 0.39/0.70 (define @t555 () (=> tptp.dsetconstrEL @t554)) % 0.39/0.71 (define @t556 () (=> tptp.dsetconstrI @t555)) % 0.39/0.71 (define @t557 () (=> tptp.descrp @t556)) % 0.39/0.71 (define @t558 () (=> tptp.wellorderingAx @t557)) % 0.39/0.71 (define @t559 () (=> tptp.foundationAx @t558)) % 0.39/0.71 (define @t560 () (=> tptp.replAx @t559)) % 0.39/0.71 (define @t561 () (=> tptp.omegaIndAx @t560)) % 0.39/0.71 (define @t562 () (=> tptp.omegaSAx @t561)) % 0.39/0.71 (define @t563 () (=> tptp.omega0Ax @t562)) % 0.39/0.71 (define @t564 () (=> tptp.setunionAx @t563)) % 0.39/0.71 (define @t565 () (=> tptp.powersetAx @t564)) % 0.39/0.71 (define @t566 () (=> tptp.setadjoinAx @t565)) % 0.39/0.71 (define @t567 () (=> tptp.emptysetAx @t566)) % 0.39/0.71 (define @t568 () (=> tptp.setextAx @t567)) % 0.39/0.71 (define @t569 () (@var "BOUND_VARIABLE_8583" $$unsorted)) % 0.39/0.71 (define @t570 () (_ @t51 @t569)) % 0.39/0.71 (define @t571 () (@list @t569)) % 0.39/0.71 (define @t572 () (lambda @t571 @t570)) % 0.39/0.71 (define @t573 () (tptp.dsetconstr @t2 @t572)) % 0.39/0.71 (define @t574 () (= @t333 @t573)) % 0.39/0.71 (define @t575 () (not @t574)) % 0.39/0.71 (define @t576 () (tptp.in @t4 @t573)) % 0.39/0.71 (define @t577 () (not @t576)) % 0.39/0.71 (define @t578 () (or @t577 @t575)) % 0.39/0.71 (define @t579 () (_ @t51 @t569)) % 0.39/0.71 (define @t580 () (lambda @t571 @t579)) % 0.39/0.71 (define @t581 () (_ @t59 @t580)) % 0.39/0.71 (define @t582 () (= @t333 @t581)) % 0.39/0.71 (define @t583 () (not @t582)) % 0.39/0.71 (define @t584 () (tptp.in @t4 @t581)) % 0.39/0.71 (define @t585 () (not @t584)) % 0.39/0.71 (define @t586 () (or @t585 @t583)) % 0.39/0.71 (define @t587 () (not (= @t581 @t333))) % 0.39/0.71 (define @t588 () (or @t585 @t587)) % 0.39/0.71 (define @t589 () (= @t88 @t333)) % 0.39/0.71 (define @t590 () (not @t589)) % 0.39/0.71 (define @t591 () (tptp.in @t4 @t88)) % 0.39/0.71 (define @t592 () (not @t591)) % 0.39/0.71 (define @t593 () (or @t592 @t590)) % 0.39/0.71 (define @t594 () (forall @t8 @t593)) % 0.39/0.71 (define @t595 () (not @t594)) % 0.39/0.71 (define @t596 () (_ (lambda @t34 (not (forall @t8 (or @t342 (not (= @t2 @t333)))))) @t88)) % 0.39/0.71 (define @t597 () (not @t324)) % 0.39/0.71 (define @t598 () (or @t72 @t597)) % 0.39/0.71 (define @t599 () (forall @t8 (not @t325))) % 0.39/0.71 (define @t600 () (not @t599)) % 0.39/0.71 (define @t601 () (=> @t90 @t596)) % 0.39/0.71 (define @t602 () (=> @t154 @t601)) % 0.39/0.71 (define @t603 () (forall @t91 @t602)) % 0.39/0.71 (assume @p1 (= tptp.setextAx (forall @t9 (=> (forall @t8 (= @t7 @t6)) @t3)))) % 0.39/0.71 (assume @p2 (= tptp.emptysetAx @t11)) % 0.39/0.71 (assume @p3 (= tptp.setadjoinAx (forall @t20 (= @t19 @t16)))) % 0.39/0.71 (assume @p4 (= tptp.powersetAx (forall @t9 (= @t25 @t22)))) % 0.39/0.71 (assume @p5 (= tptp.setunionAx (forall @t30 (= @t29 (exists @t27 (and @t6 @t26)))))) % 0.39/0.71 (assume @p6 (= tptp.omega0Ax (_ @t31 tptp.omega))) % 0.39/0.71 (assume @p7 (= tptp.omegaSAx (forall @t8 (=> @t33 (_ @t32 tptp.omega))))) % 0.39/0.71 (assume @p8 (= tptp.omegaIndAx (forall @t34 (=> (and (_ @t31 @t2) (forall @t8 (=> (and @t33 @t7) (_ @t32 @t2)))) (forall @t8 (=> @t33 @t7)))))) % 0.39/0.71 (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)))))))))) % 0.39/0.71 (assume @p10 (= tptp.foundationAx (forall @t34 (=> @t37 (exists @t27 (and @t26 (not (exists @t8 (and @t6 @t7))))))))) % 0.39/0.71 (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))))))))))))) % 0.39/0.71 (assume @p12 (= tptp.descrp (forall @t56 (=> @t55 (_ @t51 @t54))))) % 0.39/0.71 (assume @p13 (= tptp.dsetconstrI (forall @t62 (=> @t7 (=> @t52 @t61))))) % 0.39/0.71 (assume @p14 (= tptp.dsetconstrEL (forall @t62 (=> @t61 @t7)))) % 0.39/0.71 (assume @p15 (= tptp.dsetconstrER (forall @t62 (=> @t61 @t52)))) % 0.39/0.71 (assume @p16 (= tptp.exuE1 (forall @t56 (=> @t55 @t64)))) % 0.39/0.71 (assume @p17 (= tptp.prop2setE (forall (@list @t65 @t4) (=> (_ @t5 @t66) @t65)))) % 0.39/0.71 (assume @p18 (= tptp.emptysetE (forall @t8 (=> @t10 (forall @t67 @t65))))) % 0.39/0.71 (assume @p19 (= tptp.emptysetimpfalse (forall @t8 (=> @t10 false)))) % 0.39/0.71 (assume @p20 (= tptp.notinemptyset @t11)) % 0.39/0.71 (assume @p21 (= tptp.exuE3e (forall @t56 (=> @t55 @t68)))) % 0.39/0.71 (assume @p22 (= tptp.setext (forall @t9 (=> @t70 (=> @t22 @t3))))) % 0.39/0.71 (assume @p23 (= tptp.emptyI @t73)) % 0.39/0.71 (assume @p24 (= tptp.noeltsimpempty @t73)) % 0.39/0.71 (assume @p25 (= tptp.setbeta (forall @t62 (=> @t7 (= @t61 @t52))))) % 0.39/0.71 (assume @p26 (= tptp.nonemptyE1 (forall @t34 (=> @t74 @t37)))) % 0.39/0.71 (assume @p27 (= tptp.nonemptyI (forall @t62 (=> @t7 (=> @t52 (_ tptp.nonempty @t60)))))) % 0.39/0.71 (assume @p28 (= tptp.nonemptyI1 (forall @t34 (=> @t37 @t74)))) % 0.39/0.71 (assume @p29 (= tptp.setadjoinIL (forall @t50 (_ @t5 (_ @t17 @t12))))) % 0.39/0.71 (assume @p30 (= tptp.emptyinunitempty (_ @t31 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)))) % 0.39/0.71 (assume @p31 (= tptp.setadjoinIR (forall @t20 (=> @t14 @t19)))) % 0.39/0.71 (assume @p32 (= tptp.setadjoinE (forall @t20 (=> @t19 (forall @t67 (=> (=> @t15 @t65) (=> (=> @t14 @t65) @t65))))))) % 0.39/0.71 (assume @p33 (= tptp.setadjoinOr (forall @t20 (=> @t19 @t16)))) % 0.39/0.71 (assume @p34 (= tptp.setoftrueEq (forall @t34 (= (_ @t59 (lambda @t8 true)) @t2)))) % 0.39/0.71 (assume @p35 (= tptp.powersetI (forall @t9 (=> @t22 @t25)))) % 0.39/0.71 (assume @p36 (= tptp.emptyinPowerset @t75)) % 0.39/0.71 (assume @p37 (= tptp.emptyInPowerset @t75)) % 0.39/0.71 (assume @p38 (= tptp.powersetE (forall @t76 (=> @t25 @t21)))) % 0.39/0.71 (assume @p39 (= tptp.setunionI (forall @t77 (=> @t6 (=> @t26 @t29))))) % 0.39/0.71 (assume @p40 (= tptp.setunionE (forall @t30 (=> @t29 (forall @t67 (=> (forall @t27 (=> @t6 (=> @t26 @t65))) @t65)))))) % 0.39/0.71 (assume @p41 (= tptp.subPowSU (forall @t30 (=> @t7 (_ @t5 (_ tptp.powerset @t28)))))) % 0.39/0.71 (assume @p42 (= tptp.exuE2 (forall @t56 (=> @t55 @t78)))) % 0.39/0.71 (assume @p43 (= tptp.nonemptyImpWitness (forall @t34 (=> @t74 (exists @t8 (and @t7 true)))))) % 0.39/0.71 (assume @p44 (= tptp.uniqinunit (forall @t50 (=> @t81 @t49)))) % 0.39/0.71 (assume @p45 (= tptp.notinsingleton (forall @t50 (=> (not @t49) (not @t83))))) % 0.39/0.71 (assume @p46 (= tptp.eqinunit (forall @t50 (=> @t49 @t81)))) % 0.39/0.71 (assume @p47 (= tptp.singletonsswitch (forall @t50 (=> @t81 @t83)))) % 0.39/0.71 (assume @p48 (= tptp.upairsetE @t86)) % 0.39/0.71 (assume @p49 (= tptp.upairsetIL (forall @t50 (_ @t5 @t85)))) % 0.39/0.71 (assume @p50 (= tptp.upairsetIR @t87)) % 0.39/0.71 (assume @p51 (= tptp.emptyE1 (forall @t91 (=> @t90 (=> (= @t88 tptp.emptyset) false))))) % 0.39/0.71 (assume @p52 (= tptp.vacuousDall (forall (@list @t51 @t4) (=> @t10 @t52)))) % 0.39/0.71 (assume @p53 (= tptp.quantDeMorgan1 @t95)) % 0.39/0.71 (assume @p54 (= tptp.quantDeMorgan2 (forall @t91 (=> @t97 @t96)))) % 0.39/0.71 (assume @p55 (= tptp.quantDeMorgan3 @t98)) % 0.39/0.71 (assume @p56 (= tptp.quantDeMorgan4 (forall @t91 (=> @t93 @t94)))) % 0.39/0.71 (assume @p57 (= tptp.prop2setI (forall @t67 (=> @t65 (_ @t31 @t66))))) % 0.39/0.71 (assume @p58 (= tptp.prop2set2propI (forall @t67 (=> @t65 (_ tptp.set2prop @t66))))) % 0.39/0.71 (assume @p59 (= tptp.notdexE @t98)) % 0.39/0.71 (assume @p60 (= tptp.notdallE @t95)) % 0.39/0.71 (assume @p61 (= tptp.exuI1 (forall @t56 (=> @t64 @t55)))) % 0.39/0.71 (assume @p62 (= tptp.exuI3 (forall @t56 (=> @t68 (=> @t100 @t55))))) % 0.39/0.71 (assume @p63 (= tptp.exuI2 (forall @t56 (=> @t78 @t55)))) % 0.39/0.71 (assume @p64 (= tptp.inCongP (forall @t9 (=> @t3 (forall @t50 (=> @t49 (=> @t7 @t101))))))) % 0.39/0.71 (assume @p65 (= tptp.in__Cong (forall @t9 (=> @t3 (forall @t50 (=> @t49 (= @t7 @t101))))))) % 0.39/0.71 (assume @p66 (= tptp.exuE3u @t102)) % 0.39/0.71 (assume @p67 (= tptp.exu__Cong (forall @t108 (=> @t107 (= @t55 @t105))))) % 0.39/0.71 (assume @p68 (= tptp.emptyset__Cong (= tptp.emptyset tptp.emptyset))) % 0.39/0.71 (assume @p69 (= tptp.setadjoin__Cong (forall @t50 (=> @t49 (forall (@list @t84 @t109) (=> (= @t84 @t109) (= (_ @t17 @t84) (_ @t79 @t109)))))))) % 0.39/0.71 (assume @p70 (= tptp.powerset__Cong (forall @t9 (=> @t3 (= @t23 @t110))))) % 0.39/0.71 (assume @p71 (= tptp.setunion__Cong (forall @t9 (=> @t3 (= @t28 (_ tptp.setunion @t1)))))) % 0.39/0.71 (assume @p72 (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.39/0.71 (assume @p73 (= tptp.exuEu @t102)) % 0.39/0.71 (assume @p74 (= tptp.descr__Cong (forall @t108 (=> @t107 (=> @t55 (=> @t105 (= @t54 (_ tptp.descr @t104)))))))) % 0.39/0.71 (assume @p75 (= tptp.dsetconstr__Cong (forall @t9 (=> @t3 (forall @t108 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t101 @t106)))) (= @t88 (_ (_ tptp.dsetconstr @t1) @t104)))))))) % 0.39/0.71 (assume @p76 (= tptp.subsetI1 @t113)) % 0.39/0.71 (assume @p77 (= tptp.eqimpsubset2 (forall @t9 (=> @t3 @t115)))) % 0.39/0.71 (assume @p78 (= tptp.eqimpsubset1 (forall @t9 (=> @t3 @t112)))) % 0.39/0.71 (assume @p79 (= tptp.subsetI2 @t113)) % 0.39/0.71 (assume @p80 (= tptp.emptysetsubset (forall @t34 (_ (_ tptp.subset tptp.emptyset) @t2)))) % 0.39/0.71 (assume @p81 (= tptp.subsetE (forall @t76 (=> @t112 @t69)))) % 0.39/0.71 (assume @p82 (= tptp.subsetE2 (forall @t76 (=> @t112 @t117)))) % 0.39/0.71 (assume @p83 (= tptp.notsubsetI (forall @t76 (=> @t7 (=> @t116 @t118))))) % 0.39/0.71 (assume @p84 (= tptp.notequalI1 (forall @t9 (=> @t118 @t119)))) % 0.39/0.71 (assume @p85 (= tptp.notequalI2 (forall @t76 (=> @t7 (=> @t116 @t119))))) % 0.39/0.71 (assume @p86 (= tptp.subsetRefl (forall @t34 (_ @t111 @t2)))) % 0.39/0.71 (assume @p87 (= tptp.subsetTrans (forall @t120 (=> @t112 (=> (_ @t114 @t41) (_ @t111 @t41)))))) % 0.39/0.71 (assume @p88 (= tptp.setadjoinSub (forall (@list @t4 @t2) (_ @t111 @t18)))) % 0.39/0.71 (assume @p89 (= tptp.setadjoinSub2 (forall @t77 (=> @t112 (_ @t111 (_ @t17 @t1)))))) % 0.39/0.71 (assume @p90 (= tptp.subset2powerset (forall @t9 (=> @t112 (_ @t121 @t110))))) % 0.39/0.71 (assume @p91 (= tptp.setextsub (forall @t9 (=> @t112 (=> @t115 @t3))))) % 0.39/0.71 (assume @p92 (= tptp.subsetemptysetimpeq (forall @t34 (=> (_ @t111 tptp.emptyset) @t71)))) % 0.39/0.71 (assume @p93 (= tptp.powersetI1 (forall @t9 (=> @t115 @t25)))) % 0.39/0.71 (assume @p94 (= tptp.powersetE1 (forall @t9 (=> @t25 @t115)))) % 0.39/0.71 (assume @p95 (= tptp.inPowerset (forall @t34 (_ @t121 @t23)))) % 0.39/0.71 (assume @p96 (= tptp.powersetsubset (forall @t9 (=> @t112 (_ (_ tptp.subset @t23) @t110))))) % 0.39/0.71 (assume @p97 (= tptp.sepInPowerset (forall @t91 (_ (_ tptp.in @t88) @t23)))) % 0.39/0.71 (assume @p98 (= tptp.sepSubset (forall @t91 (_ (_ tptp.subset @t88) @t2)))) % 0.39/0.71 (assume @p99 (= tptp.binunionIL (forall @t76 (=> @t7 @t123)))) % 0.39/0.71 (assume @p100 (= tptp.upairset2IR @t87)) % 0.39/0.71 (assume @p101 (= tptp.binunionIR (forall @t76 (=> @t6 @t123)))) % 0.39/0.71 (assume @p102 (= tptp.binunionEcases (forall (@list @t2 @t1 @t4 @t65) (=> @t123 (=> (=> @t7 @t65) (=> @t124 @t65)))))) % 0.39/0.71 (assume @p103 (= tptp.binunionE (forall @t76 (=> @t123 (or @t7 @t6))))) % 0.39/0.71 (assume @p104 (= tptp.binunionLsub (forall @t9 (_ @t111 @t122)))) % 0.39/0.71 (assume @p105 (= tptp.binunionRsub (forall @t9 (_ @t114 @t122)))) % 0.39/0.71 (assume @p106 (= tptp.binintersectI (forall @t76 (=> @t7 (=> @t6 @t127))))) % 0.39/0.71 (assume @p107 (= tptp.binintersectSubset5 (forall @t120 (=> (_ @t128 @t2) (=> (_ @t128 @t1) (_ @t128 @t126)))))) % 0.39/0.71 (assume @p108 (= tptp.binintersectEL (forall @t76 (=> @t127 @t7)))) % 0.39/0.71 (assume @p109 (= tptp.binintersectLsub (forall @t9 (_ @t129 @t2)))) % 0.39/0.71 (assume @p110 (= tptp.binintersectSubset2 (forall @t9 (=> @t112 @t130)))) % 0.39/0.71 (assume @p111 (= tptp.binintersectSubset3 (forall @t9 (=> @t131 @t115)))) % 0.39/0.71 (assume @p112 (= tptp.binintersectER (forall @t76 (=> @t127 @t6)))) % 0.39/0.71 (assume @p113 (= tptp.disjointsetsI1 (forall @t9 (=> (not (exists @t8 (and @t7 @t6))) (= @t126 tptp.emptyset))))) % 0.39/0.71 (assume @p114 (= tptp.binintersectRsub (forall @t9 (_ @t129 @t1)))) % 0.39/0.71 (assume @p115 (= tptp.binintersectSubset4 (forall @t9 (=> @t115 @t131)))) % 0.39/0.71 (assume @p116 (= tptp.binintersectSubset1 (forall @t9 (=> @t130 @t112)))) % 0.39/0.71 (assume @p117 (= tptp.bs114d (forall @t120 (= (_ @t125 (_ (_ tptp.binunion @t1) @t41)) (_ (_ tptp.binunion @t126) (_ @t125 @t41)))))) % 0.39/0.71 (assume @p118 (= tptp.setminusI (forall @t76 (=> @t7 (=> @t116 @t133))))) % 0.39/0.71 (assume @p119 (= tptp.setminusEL (forall @t76 (=> @t133 @t7)))) % 0.39/0.71 (assume @p120 (= tptp.setminusER (forall @t76 (=> @t133 @t116)))) % 0.39/0.71 (assume @p121 (= tptp.setminusSubset2 (forall @t9 (=> @t112 @t134)))) % 0.39/0.71 (assume @p122 (= tptp.setminusERneg (forall @t76 (=> @t135 @t69)))) % 0.39/0.71 (assume @p123 (= tptp.setminusELneg (forall @t76 (=> @t135 @t117)))) % 0.39/0.71 (assume @p124 (= tptp.setminusILneg (forall @t76 (=> @t72 @t135)))) % 0.39/0.71 (assume @p125 (= tptp.setminusIRneg (forall @t76 (=> @t6 @t135)))) % 0.39/0.71 (assume @p126 (= tptp.setminusLsub (forall @t9 (_ (_ tptp.subset @t132) @t2)))) % 0.39/0.71 (assume @p127 (= tptp.setminusSubset1 (forall @t9 (=> @t134 @t112)))) % 0.39/0.71 (assume @p128 (= tptp.symdiffE (forall @t76 (=> @t136 (forall @t67 (=> (=> @t7 (=> @t116 @t65)) (=> (=> @t72 @t124) @t65))))))) % 0.39/0.71 (assume @p129 (= tptp.symdiffI1 (forall @t76 (=> @t7 (=> @t116 @t136))))) % 0.39/0.71 (assume @p130 (= tptp.symdiffI2 (forall @t76 (=> @t72 (=> @t6 @t136))))) % 0.39/0.71 (assume @p131 (= tptp.symdiffIneg1 (forall @t76 (=> @t7 (=> @t6 @t137))))) % 0.39/0.71 (assume @p132 (= tptp.symdiffIneg2 (forall @t76 (=> @t72 (=> @t116 @t137))))) % 0.39/0.71 (assume @p133 (= tptp.secondinupair @t87)) % 0.39/0.71 (assume @p134 (= tptp.setukpairIL (forall @t50 (_ @t5 @t139)))) % 0.39/0.71 (assume @p135 (= tptp.setukpairIR (forall @t50 (_ @t13 @t139)))) % 0.39/0.71 (assume @p136 (= tptp.kpairiskpair (forall @t50 (_ tptp.iskpair @t138)))) % 0.39/0.71 (assume @p137 (= tptp.kpairp (forall @t50 (_ tptp.iskpair @t140)))) % 0.39/0.71 (assume @p138 (= tptp.singletonsubset (forall @t30 (=> @t7 (_ (_ tptp.subset @t82) @t2))))) % 0.39/0.71 (assume @p139 (= tptp.singletoninpowerset (forall @t30 (=> @t7 (_ @t141 @t23))))) % 0.39/0.71 (assume @p140 (= tptp.singletoninpowunion (forall @t76 (=> @t7 (_ @t141 @t142))))) % 0.39/0.71 (assume @p141 (= tptp.upairset2E @t86)) % 0.39/0.71 (assume @p142 (= tptp.upairsubunion (forall @t76 (=> @t7 (forall @t36 (=> @t101 (_ (_ tptp.subset @t85) @t122))))))) % 0.39/0.71 (assume @p143 (= tptp.upairinpowunion (forall @t76 (=> @t7 (forall @t36 (=> @t101 (_ (_ tptp.in @t85) @t142))))))) % 0.39/0.71 (assume @p144 (= tptp.ubforcartprodlem1 (forall @t76 (=> @t7 (forall @t36 (=> @t101 (_ (_ tptp.subset @t138) @t142))))))) % 0.39/0.71 (assume @p145 (= tptp.ubforcartprodlem2 (forall @t76 (=> @t7 (forall @t36 (=> @t101 (_ (_ tptp.in @t138) @t143))))))) % 0.39/0.71 (assume @p146 (= tptp.ubforcartprodlem3 (forall @t76 (=> @t7 (forall @t36 (=> @t101 (_ @t144 @t143))))))) % 0.39/0.71 (assume @p147 (= tptp.cartprodpairin (forall @t76 (=> @t7 (forall @t36 (=> @t101 (_ @t144 @t145))))))) % 0.39/0.71 (assume @p148 (= tptp.cartprodmempair1 (forall @t147 (=> @t146 (exists @t8 (and @t7 (exists @t36 (and @t101 (= @t109 @t140))))))))) % 0.39/0.71 (assume @p149 (= tptp.cartprodmempair (forall @t147 (=> @t146 (_ tptp.iskpair @t109))))) % 0.39/0.71 (assume @p150 (= tptp.setunionE2 (forall @t30 (=> @t29 (exists (@list @t148) (and (_ (_ tptp.in @t148) @t2) (_ @t5 @t148))))))) % 0.39/0.71 (assume @p151 (= tptp.setunionsingleton1 (forall @t34 (_ (_ tptp.subset @t149) @t2)))) % 0.39/0.71 (assume @p152 (= tptp.setunionsingleton2 (forall @t34 (_ @t111 @t149)))) % 0.39/0.71 (assume @p153 (= tptp.setunionsingleton (forall @t8 (= (_ tptp.setunion @t82) @t4)))) % 0.39/0.71 (assume @p154 @t157) % 0.39/0.71 (assume @p155 (= tptp.ex1E1 (forall @t91 (=> @t159 @t90)))) % 0.39/0.71 (assume @p156 (= tptp.ex1I (forall @t62 (=> @t7 (=> @t52 (=> (forall @t36 (=> @t14 (=> @t57 @t15))) (_ @t158 @t58))))))) % 0.39/0.71 (assume @p157 @t319) % 0.39/0.71 (assume @p158 true) % 0.39/0.71 (step @p159 (= tptp.exu @t320) :rule refl :args (@t320)) % 0.39/0.71 (step @p160 (= tptp.nonempty @t321) :rule refl :args (@t321)) % 0.39/0.71 (step @p161 (= tptp.iskpair @t322) :rule refl :args (@t322)) % 0.39/0.71 (step @p162 (= tptp.kpair @t323) :rule refl :args (@t323)) % 0.39/0.71 (step @p163 (= tptp.singleton @t327) :rule refl :args (@t327)) % 0.39/0.71 (step @p164 (= tptp.ex1 @t328) :rule refl :args (@t328)) % 0.39/0.71 (step @p165 :rule aci_norm :args ((= @t348 (or @t346 @t334 @t331 @t330)))) % 0.39/0.71 (step @p166 :rule cong :premises (@p165) :args (@t349)) % 0.39/0.71 (step @p167 :rule quant-merge-prenex :args ((= (forall @t91 @t351) @t349))) % 0.39/0.71 (step @p168 :rule refl :args (@t334)) % 0.39/0.71 (step @p169 :rule alpha_equiv :args (@t352 (@list @t329) @t353)) % 0.39/0.71 (step @p170 :rule refl :args (@t346)) % 0.39/0.71 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168) :args (@t354)) % 0.39/0.71 (step @p172 :rule quant-miniscope-or :args ((= @t351 @t354))) % 0.39/0.71 (step @p173 :rule trans :premises (@p172 @p171)) % 0.39/0.71 (step @p174 :rule symm :premises (@p173)) % 0.39/0.71 (step @p175 :rule cong :premises (@p174) :args ((forall @t91 @t356))) % 0.39/0.71 (step @p176 :rule trans :premises (@p175 @p167)) % 0.39/0.71 (step @p177 :rule trans :premises (@p176 @p166)) % 0.39/0.71 (step @p178 :rule aci_norm :args ((= (or @t346 (or @t355 @t334)) @t356))) % 0.39/0.71 (step @p179 :rule bool-double-not-elim :args (@t355)) % 0.39/0.71 (step @p180 :rule nary_cong :premises (@p179 @p168) :args ((or (not @t357) @t334))) % 0.39/0.71 (step @p181 :rule bool-impl-elim :args (@t357 @t334)) % 0.39/0.71 (step @p182 :rule trans :premises (@p181 @p180)) % 0.39/0.71 (step @p183 :rule nary_cong :premises (@p170 @p182) :args ((or @t346 @t358))) % 0.39/0.71 (step @p184 :rule trans :premises (@p183 @p178)) % 0.39/0.71 (step @p185 :rule bool-impl-elim :args (@t345 @t358)) % 0.39/0.71 (step @p186 :rule trans :premises 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0.39/0.71 (step @p217 :rule alpha_equiv :args (@t53 @t353 (@list @t359))) % 0.39/0.71 (step @p218 :rule cong :premises (@p206 @p217) :args (@t377)) % 0.39/0.71 (step @p219 :rule cong :premises (@p208 @p218) :args (@t378)) % 0.39/0.71 (step @p220 :rule cong :premises (@p219) :args (@t379)) % 0.39/0.71 (step @p221 :rule cong :premises (@p211 @p218) :args (@t380)) % 0.39/0.71 (step @p222 :rule cong :premises (@p221) :args (@t381)) % 0.39/0.71 (step @p223 :rule nary_cong :premises (@p222 @p220) :args (@t382)) % 0.39/0.71 (step @p224 :rule cong :premises (@p223) :args (@t383)) % 0.39/0.71 (step @p225 :rule trans :premises (@p224 @p216)) % 0.39/0.71 (step @p226 :rule cong :premises (@p225) :args (@t384)) % 0.39/0.71 (step @p227 :rule beta-reduce :args ((= (_ @t385 @t53) @t384))) % 0.39/0.71 (step @p228 :rule trans :premises (@p227 @p226)) % 0.39/0.71 (step @p229 :rule refl :args (@t53)) % 0.39/0.71 (step @p230 :rule beta-reduce :args ((= @t386 @t385))) % 0.39/0.71 (step @p231 :rule ho_cong 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@p247 :rule bool-and-de-morgan :args (@t7 @t52 true)) % 0.39/0.71 (step @p248 :rule cong :premises (@p247) :args (@t388)) % 0.39/0.71 (step @p249 :rule trans :premises (@p248 @p246)) % 0.39/0.71 (step @p250 :rule cong :premises (@p249) :args (@t389)) % 0.39/0.71 (step @p251 :rule exists-elim :args ((= @t90 @t389))) % 0.39/0.71 (step @p252 :rule trans :premises (@p251 @p250)) % 0.39/0.71 (step @p253 :rule cong :premises (@p252 @p232) :args (@t390)) % 0.39/0.71 (step @p254 :rule aci_norm :args ((= @t392 @t343))) % 0.39/0.71 (step @p255 :rule cong :premises (@p254) :args (@t393)) % 0.39/0.71 (step @p256 :rule quant-merge-prenex :args ((= (forall @t8 @t395) @t393))) % 0.39/0.71 (step @p257 :rule alpha_equiv :args (@t396 (@list @t335) (@list @t12))) % 0.39/0.71 (step @p258 :rule refl :args (@t340)) % 0.39/0.71 (step @p259 :rule refl :args (@t342)) % 0.39/0.71 (step @p260 :rule nary_cong :premises (@p259 @p258 @p257) :args (@t397)) % 0.39/0.71 (step @p261 :rule quant-miniscope-or :args ((= 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:rule refl :args (@t49)) % 0.39/0.71 (step @p277 :rule refl :args (@t398)) % 0.39/0.71 (step @p278 :rule refl :args (@t57)) % 0.39/0.71 (step @p279 :rule cong :premises (@p278 @p277) :args ((= @t57 @t398))) % 0.39/0.71 (step @p280 :rule symm :premises (@p279)) % 0.39/0.71 (step @p281 :rule eq_resolve :premises (@p278 @p280)) % 0.39/0.71 (step @p282 :rule cong :premises (@p281) :args (@t403)) % 0.39/0.71 (step @p283 :rule refl :args (@t399)) % 0.39/0.71 (step @p284 :rule refl :args (@t14)) % 0.39/0.71 (step @p285 :rule cong :premises (@p284 @p283) :args ((= @t14 @t399))) % 0.39/0.71 (step @p286 :rule symm :premises (@p285)) % 0.39/0.71 (step @p287 :rule eq_resolve :premises (@p284 @p286)) % 0.39/0.71 (step @p288 :rule cong :premises (@p287) :args (@t404)) % 0.39/0.71 (step @p289 :rule nary_cong :premises (@p288 @p282 @p276) :args (@t405)) % 0.39/0.71 (step @p290 :rule cong :premises (@p289) :args (@t406)) % 0.39/0.71 (step @p291 :rule refl :args (@t92)) % 0.39/0.71 (step @p292 :rule 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% 0.39/0.71 (step @p307 :rule nary_cong :premises (@p306 @p305) :args ((or @t404 @t99))) % 0.39/0.71 (step @p308 :rule trans :premises (@p307 @p298)) % 0.39/0.71 (step @p309 :rule bool-impl-elim :args (@t14 @t99)) % 0.39/0.71 (step @p310 :rule trans :premises (@p309 @p308)) % 0.39/0.71 (step @p311 :rule cong :premises (@p310) :args (@t152)) % 0.39/0.71 (step @p312 :rule trans :premises (@p311 @p297)) % 0.39/0.71 (step @p313 :rule refl :args (@t7)) % 0.39/0.71 (step @p314 :rule cong :premises (@p313 @p312) :args (@t153)) % 0.39/0.71 (step @p315 :rule cong :premises (@p314) :args (@t154)) % 0.39/0.71 (step @p316 :rule trans :premises (@p315 @p275)) % 0.39/0.71 (step @p317 :rule cong :premises (@p316 @p253) :args (@t411)) % 0.39/0.71 (step @p318 :rule cong :premises (@p317) :args (@t412)) % 0.39/0.71 (step @p319 :rule trans :premises (@p318 @p188)) % 0.39/0.71 (step @p320 :rule refl :args (tptp.ex1I)) % 0.39/0.71 (step @p321 :rule cong :premises (@p320 @p319) :args (@t413)) % 0.39/0.71 (step @p322 :rule refl :args (tptp.ex1E1)) % 0.39/0.71 (step @p323 :rule cong :premises (@p322 @p321) :args (@t414)) % 0.39/0.71 (step @p324 :rule refl :args (tptp.singletonprop)) % 0.39/0.71 (step @p325 :rule cong :premises (@p324 @p323) :args (@t415)) % 0.39/0.71 (step @p326 :rule refl :args (tptp.setunionsingleton)) % 0.39/0.71 (step @p327 :rule cong :premises (@p326 @p325) :args (@t416)) % 0.39/0.71 (step @p328 :rule refl :args (tptp.setunionsingleton2)) % 0.39/0.71 (step @p329 :rule cong :premises (@p328 @p327) :args (@t417)) % 0.39/0.71 (step @p330 :rule refl :args (tptp.setunionsingleton1)) % 0.39/0.71 (step @p331 :rule cong :premises (@p330 @p329) :args (@t418)) % 0.39/0.71 (step @p332 :rule refl :args (tptp.setunionE2)) % 0.39/0.71 (step @p333 :rule cong :premises (@p332 @p331) :args (@t419)) % 0.39/0.71 (step @p334 :rule refl :args (tptp.cartprodmempair)) % 0.39/0.71 (step @p335 :rule cong :premises (@p334 @p333) :args (@t420)) % 0.39/0.71 (step @p336 :rule refl :args (tptp.cartprodmempair1)) % 0.39/0.71 (step @p337 :rule cong :premises (@p336 @p335) :args (@t421)) % 0.39/0.71 (step @p338 :rule refl :args (tptp.cartprodpairin)) % 0.39/0.71 (step @p339 :rule cong :premises (@p338 @p337) :args (@t422)) % 0.39/0.71 (step @p340 :rule refl :args (tptp.ubforcartprodlem3)) % 0.39/0.71 (step @p341 :rule cong :premises (@p340 @p339) :args (@t423)) % 0.39/0.71 (step @p342 :rule refl :args (tptp.ubforcartprodlem2)) % 0.39/0.71 (step @p343 :rule cong :premises (@p342 @p341) :args (@t424)) % 0.39/0.71 (step @p344 :rule refl :args (tptp.ubforcartprodlem1)) % 0.39/0.71 (step @p345 :rule cong :premises (@p344 @p343) :args (@t425)) % 0.39/0.71 (step @p346 :rule refl :args (tptp.upairinpowunion)) % 0.39/0.71 (step @p347 :rule cong :premises (@p346 @p345) :args (@t426)) % 0.39/0.71 (step @p348 :rule refl :args (tptp.upairsubunion)) % 0.39/0.71 (step @p349 :rule cong :premises (@p348 @p347) :args (@t427)) % 0.39/0.71 (step @p350 :rule refl :args (tptp.upairset2E)) % 0.39/0.71 (step @p351 :rule cong :premises (@p350 @p349) :args (@t428)) % 0.39/0.71 (step @p352 :rule refl :args (tptp.singletoninpowunion)) % 0.39/0.71 (step @p353 :rule cong :premises (@p352 @p351) :args (@t429)) % 0.39/0.71 (step @p354 :rule refl :args (tptp.singletoninpowerset)) % 0.39/0.71 (step @p355 :rule cong :premises (@p354 @p353) :args (@t430)) % 0.39/0.71 (step @p356 :rule refl :args (tptp.singletonsubset)) % 0.39/0.71 (step @p357 :rule cong :premises (@p356 @p355) :args (@t431)) % 0.39/0.71 (step @p358 :rule refl :args (tptp.kpairp)) % 0.39/0.71 (step @p359 :rule cong :premises (@p358 @p357) :args (@t432)) % 0.39/0.71 (step @p360 :rule refl :args (tptp.kpairiskpair)) % 0.39/0.71 (step @p361 :rule cong :premises (@p360 @p359) :args (@t433)) % 0.39/0.71 (step @p362 :rule refl :args (tptp.setukpairIR)) % 0.39/0.71 (step @p363 :rule cong :premises (@p362 @p361) :args (@t434)) % 0.39/0.71 (step @p364 :rule refl :args (tptp.setukpairIL)) % 0.39/0.71 (step @p365 :rule cong :premises (@p364 @p363) :args (@t435)) % 0.39/0.71 (step @p366 :rule refl :args (tptp.secondinupair)) % 0.39/0.71 (step @p367 :rule cong :premises (@p366 @p365) :args (@t436)) % 0.39/0.71 (step @p368 :rule refl :args (tptp.symdiffIneg2)) % 0.39/0.71 (step @p369 :rule cong :premises (@p368 @p367) :args (@t437)) % 0.39/0.71 (step @p370 :rule refl :args (tptp.symdiffIneg1)) % 0.39/0.71 (step @p371 :rule cong :premises (@p370 @p369) :args (@t438)) % 0.39/0.71 (step @p372 :rule refl :args (tptp.symdiffI2)) % 0.39/0.71 (step @p373 :rule cong :premises (@p372 @p371) :args (@t439)) % 0.39/0.71 (step @p374 :rule refl :args (tptp.symdiffI1)) % 0.39/0.71 (step @p375 :rule cong :premises (@p374 @p373) :args (@t440)) % 0.39/0.71 (step @p376 :rule refl :args (tptp.symdiffE)) % 0.39/0.71 (step @p377 :rule cong :premises (@p376 @p375) :args (@t441)) % 0.39/0.71 (step @p378 :rule refl :args (tptp.setminusSubset1)) % 0.39/0.71 (step @p379 :rule cong :premises (@p378 @p377) :args (@t442)) % 0.39/0.71 (step @p380 :rule refl :args (tptp.setminusLsub)) % 0.39/0.71 (step @p381 :rule cong :premises (@p380 @p379) :args (@t443)) % 0.39/0.71 (step @p382 :rule refl :args (tptp.setminusIRneg)) % 0.39/0.71 (step @p383 :rule cong :premises (@p382 @p381) :args (@t444)) % 0.39/0.71 (step @p384 :rule refl :args (tptp.setminusILneg)) % 0.39/0.71 (step @p385 :rule cong :premises (@p384 @p383) :args (@t445)) % 0.39/0.71 (step @p386 :rule refl :args (tptp.setminusELneg)) % 0.39/0.71 (step @p387 :rule cong :premises (@p386 @p385) :args (@t446)) % 0.39/0.71 (step @p388 :rule refl :args (tptp.setminusERneg)) % 0.39/0.71 (step @p389 :rule cong :premises (@p388 @p387) :args (@t447)) % 0.39/0.71 (step @p390 :rule refl :args (tptp.setminusSubset2)) % 0.39/0.71 (step @p391 :rule cong :premises (@p390 @p389) :args (@t448)) % 0.39/0.71 (step @p392 :rule refl :args (tptp.setminusER)) % 0.39/0.71 (step @p393 :rule cong :premises (@p392 @p391) :args (@t449)) % 0.39/0.71 (step @p394 :rule refl :args (tptp.setminusEL)) % 0.39/0.71 (step @p395 :rule cong :premises (@p394 @p393) :args (@t450)) % 0.39/0.71 (step @p396 :rule refl :args (tptp.setminusI)) % 0.39/0.71 (step @p397 :rule cong :premises (@p396 @p395) :args (@t451)) % 0.39/0.71 (step @p398 :rule refl :args (tptp.bs114d)) % 0.39/0.71 (step @p399 :rule cong :premises (@p398 @p397) :args (@t452)) % 0.39/0.71 (step @p400 :rule refl :args (tptp.binintersectSubset1)) % 0.39/0.71 (step @p401 :rule cong :premises (@p400 @p399) :args (@t453)) % 0.39/0.71 (step @p402 :rule refl :args (tptp.binintersectSubset4)) % 0.39/0.71 (step @p403 :rule cong :premises (@p402 @p401) :args (@t454)) % 0.39/0.71 (step @p404 :rule refl :args (tptp.binintersectRsub)) % 0.39/0.71 (step @p405 :rule cong :premises (@p404 @p403) :args (@t455)) % 0.39/0.71 (step @p406 :rule refl :args (tptp.disjointsetsI1)) % 0.39/0.71 (step @p407 :rule cong :premises (@p406 @p405) :args (@t456)) % 0.39/0.71 (step @p408 :rule refl :args (tptp.binintersectER)) % 0.39/0.71 (step @p409 :rule cong :premises (@p408 @p407) :args (@t457)) % 0.39/0.71 (step @p410 :rule refl :args (tptp.binintersectSubset3)) % 0.39/0.71 (step @p411 :rule cong :premises (@p410 @p409) :args (@t458)) % 0.39/0.71 (step @p412 :rule refl :args (tptp.binintersectSubset2)) % 0.39/0.71 (step @p413 :rule cong :premises (@p412 @p411) :args (@t459)) % 0.39/0.71 (step @p414 :rule refl :args (tptp.binintersectLsub)) % 0.39/0.71 (step @p415 :rule cong :premises (@p414 @p413) :args (@t460)) % 0.39/0.71 (step @p416 :rule refl :args (tptp.binintersectEL)) % 0.39/0.71 (step @p417 :rule cong :premises (@p416 @p415) :args (@t461)) % 0.39/0.71 (step @p418 :rule refl :args (tptp.binintersectSubset5)) % 0.39/0.71 (step @p419 :rule cong :premises (@p418 @p417) :args (@t462)) % 0.39/0.71 (step @p420 :rule refl :args (tptp.binintersectI)) % 0.39/0.71 (step @p421 :rule cong :premises (@p420 @p419) :args (@t463)) % 0.39/0.71 (step @p422 :rule refl :args (tptp.binunionRsub)) % 0.39/0.71 (step @p423 :rule cong :premises (@p422 @p421) :args (@t464)) % 0.39/0.71 (step @p424 :rule refl :args (tptp.binunionLsub)) % 0.39/0.71 (step @p425 :rule cong :premises (@p424 @p423) :args (@t465)) % 0.39/0.71 (step @p426 :rule refl :args (tptp.binunionE)) % 0.39/0.71 (step @p427 :rule cong :premises (@p426 @p425) :args (@t466)) % 0.39/0.71 (step @p428 :rule refl :args (tptp.binunionEcases)) % 0.39/0.71 (step @p429 :rule cong :premises (@p428 @p427) :args (@t467)) % 0.39/0.71 (step @p430 :rule refl :args (tptp.binunionIR)) % 0.39/0.71 (step @p431 :rule cong :premises (@p430 @p429) :args (@t468)) % 0.39/0.71 (step @p432 :rule refl :args (tptp.upairset2IR)) % 0.39/0.71 (step @p433 :rule cong :premises (@p432 @p431) :args (@t469)) % 0.39/0.71 (step @p434 :rule refl :args (tptp.binunionIL)) % 0.39/0.71 (step @p435 :rule cong :premises (@p434 @p433) :args (@t470)) % 0.39/0.71 (step @p436 :rule refl :args (tptp.sepSubset)) % 0.39/0.71 (step @p437 :rule cong :premises (@p436 @p435) :args (@t471)) % 0.39/0.71 (step @p438 :rule refl :args (tptp.sepInPowerset)) % 0.39/0.71 (step @p439 :rule cong :premises (@p438 @p437) :args (@t472)) % 0.39/0.71 (step @p440 :rule refl :args (tptp.powersetsubset)) % 0.39/0.71 (step @p441 :rule cong :premises (@p440 @p439) :args (@t473)) % 0.39/0.71 (step @p442 :rule refl :args (tptp.inPowerset)) % 0.39/0.71 (step @p443 :rule cong :premises (@p442 @p441) :args (@t474)) % 0.39/0.71 (step @p444 :rule refl :args (tptp.powersetE1)) % 0.39/0.71 (step @p445 :rule cong :premises (@p444 @p443) :args (@t475)) % 0.39/0.71 (step @p446 :rule refl :args (tptp.powersetI1)) % 0.39/0.71 (step @p447 :rule cong :premises (@p446 @p445) :args (@t476)) % 0.39/0.71 (step @p448 :rule refl :args (tptp.subsetemptysetimpeq)) % 0.39/0.71 (step @p449 :rule cong :premises (@p448 @p447) :args (@t477)) % 0.39/0.71 (step @p450 :rule refl :args (tptp.setextsub)) % 0.39/0.71 (step @p451 :rule cong :premises (@p450 @p449) :args (@t478)) % 0.39/0.71 (step @p452 :rule refl :args 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cong :premises (@p466 @p465) :args (@t486)) % 0.39/0.71 (step @p468 :rule refl :args (tptp.subsetE2)) % 0.39/0.71 (step @p469 :rule cong :premises (@p468 @p467) :args (@t487)) % 0.39/0.71 (step @p470 :rule refl :args (tptp.subsetE)) % 0.39/0.71 (step @p471 :rule cong :premises (@p470 @p469) :args (@t488)) % 0.39/0.71 (step @p472 :rule refl :args (tptp.emptysetsubset)) % 0.39/0.71 (step @p473 :rule cong :premises (@p472 @p471) :args (@t489)) % 0.39/0.71 (step @p474 :rule refl :args (tptp.subsetI2)) % 0.39/0.71 (step @p475 :rule cong :premises (@p474 @p473) :args (@t490)) % 0.39/0.71 (step @p476 :rule refl :args (tptp.eqimpsubset1)) % 0.39/0.71 (step @p477 :rule cong :premises (@p476 @p475) :args (@t491)) % 0.39/0.71 (step @p478 :rule refl :args (tptp.eqimpsubset2)) % 0.39/0.71 (step @p479 :rule cong :premises (@p478 @p477) :args (@t492)) % 0.39/0.71 (step @p480 :rule refl :args (tptp.subsetI1)) % 0.39/0.71 (step @p481 :rule cong :premises (@p480 @p479) :args (@t493)) % 0.39/0.71 (step @p482 :rule refl :args (tptp.dsetconstr__Cong)) % 0.39/0.71 (step @p483 :rule cong :premises (@p482 @p481) :args (@t494)) % 0.39/0.71 (step @p484 :rule refl :args (tptp.descr__Cong)) % 0.39/0.71 (step @p485 :rule cong :premises (@p484 @p483) :args (@t495)) % 0.39/0.71 (step @p486 :rule refl :args (tptp.exuEu)) % 0.39/0.71 (step @p487 :rule cong :premises (@p486 @p485) :args (@t496)) % 0.39/0.71 (step @p488 :rule refl :args (tptp.omega__Cong)) % 0.39/0.71 (step @p489 :rule cong :premises (@p488 @p487) :args (@t497)) % 0.39/0.71 (step @p490 :rule refl :args (tptp.setunion__Cong)) % 0.39/0.71 (step @p491 :rule cong :premises (@p490 @p489) :args (@t498)) % 0.39/0.71 (step @p492 :rule refl :args (tptp.powerset__Cong)) % 0.39/0.71 (step @p493 :rule cong :premises (@p492 @p491) :args (@t499)) % 0.39/0.71 (step @p494 :rule refl :args (tptp.setadjoin__Cong)) % 0.39/0.71 (step @p495 :rule cong :premises (@p494 @p493) :args (@t500)) % 0.39/0.71 (step @p496 :rule refl :args (tptp.emptyset__Cong)) % 0.39/0.71 (step @p497 :rule cong :premises (@p496 @p495) :args (@t501)) % 0.39/0.71 (step @p498 :rule refl :args (tptp.exu__Cong)) % 0.39/0.71 (step @p499 :rule cong :premises (@p498 @p497) :args (@t502)) % 0.39/0.71 (step @p500 :rule refl :args (tptp.exuE3u)) % 0.39/0.71 (step @p501 :rule cong :premises (@p500 @p499) :args (@t503)) % 0.39/0.71 (step @p502 :rule refl :args (tptp.in__Cong)) % 0.39/0.71 (step @p503 :rule cong :premises (@p502 @p501) :args (@t504)) % 0.39/0.71 (step @p504 :rule refl :args (tptp.inCongP)) % 0.39/0.71 (step @p505 :rule cong :premises (@p504 @p503) :args (@t505)) % 0.39/0.71 (step @p506 :rule refl :args (tptp.exuI2)) % 0.39/0.71 (step @p507 :rule cong :premises (@p506 @p505) :args (@t506)) % 0.39/0.71 (step @p508 :rule refl :args (tptp.exuI3)) % 0.39/0.71 (step @p509 :rule cong :premises (@p508 @p507) :args (@t507)) % 0.39/0.71 (step @p510 :rule refl :args (tptp.exuI1)) % 0.39/0.71 (step @p511 :rule cong :premises (@p510 @p509) :args (@t508)) % 0.39/0.71 (step @p512 :rule refl :args (tptp.notdallE)) % 0.39/0.71 (step @p513 :rule cong :premises (@p512 @p511) :args (@t509)) % 0.39/0.71 (step @p514 :rule refl :args (tptp.notdexE)) % 0.39/0.71 (step @p515 :rule cong :premises (@p514 @p513) :args (@t510)) % 0.39/0.71 (step @p516 :rule refl :args (tptp.prop2set2propI)) % 0.39/0.71 (step @p517 :rule cong :premises (@p516 @p515) :args (@t511)) % 0.39/0.71 (step @p518 :rule refl :args (tptp.prop2setI)) % 0.39/0.71 (step @p519 :rule cong :premises (@p518 @p517) :args (@t512)) % 0.39/0.71 (step @p520 :rule refl :args (tptp.quantDeMorgan4)) % 0.39/0.71 (step @p521 :rule cong :premises (@p520 @p519) :args (@t513)) % 0.39/0.71 (step @p522 :rule refl :args (tptp.quantDeMorgan3)) % 0.39/0.71 (step @p523 :rule cong :premises (@p522 @p521) :args (@t514)) % 0.39/0.71 (step @p524 :rule refl :args (tptp.quantDeMorgan2)) % 0.39/0.71 (step @p525 :rule cong :premises (@p524 @p523) :args (@t515)) % 0.39/0.71 (step @p526 :rule refl :args (tptp.quantDeMorgan1)) % 0.39/0.71 (step @p527 :rule cong :premises (@p526 @p525) :args (@t516)) % 0.39/0.71 (step @p528 :rule refl :args (tptp.vacuousDall)) % 0.39/0.71 (step @p529 :rule cong :premises (@p528 @p527) :args (@t517)) % 0.39/0.71 (step @p530 :rule refl :args (tptp.emptyE1)) % 0.39/0.71 (step @p531 :rule cong :premises (@p530 @p529) :args (@t518)) % 0.39/0.71 (step @p532 :rule refl :args (tptp.upairsetIR)) % 0.39/0.71 (step @p533 :rule cong :premises (@p532 @p531) :args (@t519)) % 0.39/0.71 (step @p534 :rule refl :args (tptp.upairsetIL)) % 0.39/0.71 (step @p535 :rule cong :premises (@p534 @p533) :args (@t520)) % 0.39/0.71 (step @p536 :rule refl :args (tptp.upairsetE)) % 0.39/0.71 (step @p537 :rule cong :premises (@p536 @p535) :args (@t521)) % 0.39/0.71 (step @p538 :rule refl :args (tptp.singletonsswitch)) % 0.39/0.71 (step @p539 :rule cong :premises (@p538 @p537) :args (@t522)) % 0.39/0.71 (step @p540 :rule refl :args (tptp.eqinunit)) % 0.39/0.71 (step @p541 :rule cong :premises (@p540 @p539) :args (@t523)) % 0.39/0.71 (step @p542 :rule refl :args (tptp.notinsingleton)) % 0.39/0.71 (step @p543 :rule cong :premises (@p542 @p541) :args (@t524)) % 0.39/0.71 (step @p544 :rule refl :args (tptp.uniqinunit)) % 0.39/0.71 (step @p545 :rule cong :premises (@p544 @p543) :args (@t525)) % 0.39/0.71 (step @p546 :rule refl :args (tptp.nonemptyImpWitness)) % 0.39/0.71 (step @p547 :rule cong :premises (@p546 @p545) :args (@t526)) % 0.39/0.71 (step @p548 :rule refl :args (tptp.exuE2)) % 0.39/0.71 (step @p549 :rule cong :premises (@p548 @p547) :args (@t527)) % 0.39/0.71 (step @p550 :rule refl :args (tptp.subPowSU)) % 0.39/0.71 (step @p551 :rule cong :premises (@p550 @p549) :args (@t528)) % 0.39/0.71 (step @p552 :rule refl :args (tptp.setunionE)) % 0.39/0.71 (step @p553 :rule cong :premises (@p552 @p551) :args (@t529)) % 0.39/0.71 (step @p554 :rule refl :args (tptp.setunionI)) % 0.39/0.71 (step @p555 :rule cong :premises (@p554 @p553) :args (@t530)) % 0.39/0.71 (step @p556 :rule refl :args (tptp.powersetE)) % 0.39/0.71 (step @p557 :rule cong :premises (@p556 @p555) :args (@t531)) % 0.39/0.71 (step @p558 :rule refl :args (tptp.emptyInPowerset)) % 0.39/0.71 (step @p559 :rule cong :premises (@p558 @p557) :args (@t532)) % 0.39/0.71 (step @p560 :rule refl :args (tptp.emptyinPowerset)) % 0.39/0.71 (step @p561 :rule cong :premises (@p560 @p559) :args (@t533)) % 0.39/0.71 (step @p562 :rule refl :args (tptp.powersetI)) % 0.39/0.71 (step @p563 :rule cong :premises (@p562 @p561) :args (@t534)) % 0.39/0.71 (step @p564 :rule refl :args (tptp.setoftrueEq)) % 0.39/0.71 (step @p565 :rule cong :premises (@p564 @p563) :args (@t535)) % 0.39/0.71 (step @p566 :rule refl :args (tptp.setadjoinOr)) % 0.39/0.71 (step @p567 :rule cong :premises (@p566 @p565) :args (@t536)) % 0.39/0.71 (step @p568 :rule refl :args (tptp.setadjoinE)) % 0.39/0.71 (step @p569 :rule cong :premises (@p568 @p567) :args (@t537)) % 0.39/0.71 (step @p570 :rule refl :args (tptp.setadjoinIR)) % 0.39/0.71 (step @p571 :rule cong :premises (@p570 @p569) :args (@t538)) % 0.39/0.71 (step @p572 :rule refl :args (tptp.emptyinunitempty)) % 0.39/0.71 (step @p573 :rule cong :premises (@p572 @p571) :args (@t539)) % 0.39/0.71 (step @p574 :rule refl :args (tptp.setadjoinIL)) % 0.39/0.71 (step @p575 :rule cong :premises (@p574 @p573) :args (@t540)) % 0.39/0.71 (step @p576 :rule refl :args (tptp.nonemptyI1)) % 0.39/0.71 (step @p577 :rule cong :premises (@p576 @p575) :args (@t541)) % 0.39/0.71 (step @p578 :rule refl :args (tptp.nonemptyI)) % 0.39/0.71 (step @p579 :rule cong :premises (@p578 @p577) :args (@t542)) % 0.39/0.71 (step @p580 :rule refl :args (tptp.nonemptyE1)) % 0.39/0.71 (step @p581 :rule cong :premises (@p580 @p579) :args (@t543)) % 0.39/0.71 (step @p582 :rule refl :args (tptp.setbeta)) % 0.39/0.71 (step @p583 :rule cong :premises (@p582 @p581) :args (@t544)) % 0.39/0.71 (step @p584 :rule refl :args (tptp.noeltsimpempty)) % 0.39/0.71 (step @p585 :rule cong :premises (@p584 @p583) :args (@t545)) % 0.39/0.71 (step @p586 :rule refl :args (tptp.emptyI)) % 0.39/0.71 (step @p587 :rule cong :premises (@p586 @p585) :args (@t546)) % 0.39/0.71 (step @p588 :rule refl :args (tptp.setext)) % 0.39/0.71 (step @p589 :rule cong :premises (@p588 @p587) :args (@t547)) % 0.39/0.71 (step @p590 :rule refl :args (tptp.exuE3e)) % 0.39/0.71 (step @p591 :rule cong :premises (@p590 @p589) :args (@t548)) % 0.39/0.71 (step @p592 :rule refl :args (tptp.notinemptyset)) % 0.39/0.71 (step @p593 :rule cong :premises (@p592 @p591) :args (@t549)) % 0.39/0.71 (step @p594 :rule refl :args (tptp.emptysetimpfalse)) % 0.39/0.71 (step @p595 :rule cong :premises (@p594 @p593) :args (@t550)) % 0.39/0.71 (step @p596 :rule refl :args (tptp.emptysetE)) % 0.39/0.71 (step @p597 :rule cong :premises (@p596 @p595) :args (@t551)) % 0.39/0.71 (step @p598 :rule refl :args (tptp.prop2setE)) % 0.39/0.71 (step @p599 :rule cong :premises (@p598 @p597) :args (@t552)) % 0.39/0.71 (step @p600 :rule refl :args (tptp.exuE1)) % 0.39/0.71 (step @p601 :rule cong :premises (@p600 @p599) :args (@t553)) % 0.39/0.71 (step @p602 :rule refl :args (tptp.dsetconstrER)) % 0.39/0.71 (step @p603 :rule cong :premises (@p602 @p601) :args (@t554)) % 0.39/0.71 (step @p604 :rule refl :args (tptp.dsetconstrEL)) % 0.39/0.71 (step @p605 :rule cong :premises (@p604 @p603) :args (@t555)) % 0.39/0.71 (step @p606 :rule refl :args (tptp.dsetconstrI)) % 0.39/0.71 (step @p607 :rule cong :premises (@p606 @p605) :args (@t556)) % 0.39/0.71 (step @p608 :rule refl :args (tptp.descrp)) % 0.39/0.71 (step @p609 :rule cong :premises (@p608 @p607) :args (@t557)) % 0.39/0.71 (step @p610 :rule refl :args (tptp.wellorderingAx)) % 0.39/0.71 (step @p611 :rule cong :premises (@p610 @p609) :args (@t558)) % 0.39/0.71 (step @p612 :rule refl :args (tptp.foundationAx)) % 0.39/0.71 (step @p613 :rule cong :premises (@p612 @p611) :args (@t559)) % 0.39/0.71 (step @p614 :rule refl :args (tptp.replAx)) % 0.39/0.71 (step @p615 :rule cong :premises (@p614 @p613) :args (@t560)) % 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cong :premises (@p630 @p867) :args (@t318)) % 0.39/0.71 (step @p869 :rule cong :premises (@p868) :args (@t319)) % 0.39/0.71 (step @p870 :rule trans :premises (@p869 @p632)) % 0.39/0.71 (step @p871 :rule eq_resolve :premises (@p157 @p870)) % 0.39/0.71 (step @p872 :rule not_implies_elim2 :premises (@p871)) % 0.39/0.71 (step @p873 :rule not_implies_elim2 :premises (@p872)) % 0.39/0.71 (step @p874 :rule not_implies_elim2 :premises (@p873)) % 0.39/0.71 (step @p875 :rule not_implies_elim2 :premises (@p874)) % 0.39/0.71 (step @p876 :rule not_implies_elim2 :premises (@p875)) % 0.39/0.71 (step @p877 :rule not_implies_elim2 :premises (@p876)) % 0.39/0.71 (step @p878 :rule not_implies_elim2 :premises (@p877)) % 0.39/0.71 (step @p879 :rule not_implies_elim2 :premises (@p878)) % 0.39/0.71 (step @p880 :rule not_implies_elim2 :premises (@p879)) % 0.39/0.71 (step @p881 :rule not_implies_elim2 :premises (@p880)) % 0.39/0.71 (step @p882 :rule not_implies_elim2 :premises (@p881)) % 0.39/0.71 (step @p883 :rule not_implies_elim2 :premises (@p882)) % 0.39/0.71 (step @p884 :rule not_implies_elim2 :premises (@p883)) % 0.39/0.71 (step @p885 :rule not_implies_elim2 :premises (@p884)) % 0.39/0.71 (step @p886 :rule not_implies_elim2 :premises (@p885)) % 0.39/0.71 (step @p887 :rule not_implies_elim2 :premises (@p886)) % 0.39/0.71 (step @p888 :rule not_implies_elim2 :premises (@p887)) % 0.39/0.71 (step @p889 :rule not_implies_elim2 :premises (@p888)) % 0.39/0.71 (step @p890 :rule not_implies_elim2 :premises (@p889)) % 0.39/0.71 (step @p891 :rule not_implies_elim2 :premises (@p890)) % 0.39/0.71 (step @p892 :rule not_implies_elim2 :premises (@p891)) % 0.39/0.71 (step @p893 :rule not_implies_elim2 :premises (@p892)) % 0.39/0.71 (step @p894 :rule not_implies_elim2 :premises (@p893)) % 0.39/0.71 (step @p895 :rule not_implies_elim2 :premises (@p894)) % 0.39/0.71 (step @p896 :rule not_implies_elim2 :premises (@p895)) % 0.39/0.71 (step @p897 :rule not_implies_elim2 :premises (@p896)) % 0.39/0.71 (step @p898 :rule not_implies_elim2 :premises (@p897)) % 0.39/0.71 (step @p899 :rule not_implies_elim2 :premises (@p898)) % 0.39/0.71 (step @p900 :rule not_implies_elim2 :premises (@p899)) % 0.39/0.71 (step @p901 :rule not_implies_elim2 :premises (@p900)) % 0.39/0.71 (step @p902 :rule not_implies_elim2 :premises (@p901)) % 0.39/0.71 (step @p903 :rule not_implies_elim2 :premises (@p902)) % 0.39/0.71 (step @p904 :rule not_implies_elim2 :premises (@p903)) % 0.39/0.71 (step @p905 :rule not_implies_elim2 :premises (@p904)) % 0.39/0.71 (step @p906 :rule not_implies_elim2 :premises (@p905)) % 0.39/0.71 (step @p907 :rule not_implies_elim2 :premises (@p906)) % 0.39/0.71 (step @p908 :rule not_implies_elim2 :premises (@p907)) % 0.39/0.71 (step @p909 :rule not_implies_elim2 :premises (@p908)) % 0.39/0.71 (step @p910 :rule not_implies_elim2 :premises (@p909)) % 0.39/0.71 (step @p911 :rule not_implies_elim2 :premises (@p910)) % 0.39/0.71 (step @p912 :rule not_implies_elim2 :premises (@p911)) % 0.39/0.71 (step @p913 :rule not_implies_elim2 :premises (@p912)) % 0.39/0.71 (step @p914 :rule not_implies_elim2 :premises (@p913)) % 0.39/0.71 (step @p915 :rule not_implies_elim2 :premises (@p914)) % 0.39/0.71 (step @p916 :rule not_implies_elim2 :premises (@p915)) % 0.39/0.71 (step @p917 :rule not_implies_elim2 :premises (@p916)) % 0.39/0.71 (step @p918 :rule not_implies_elim2 :premises (@p917)) % 0.39/0.71 (step @p919 :rule not_implies_elim2 :premises (@p918)) % 0.39/0.71 (step @p920 :rule not_implies_elim2 :premises (@p919)) % 0.39/0.71 (step @p921 :rule not_implies_elim2 :premises (@p920)) % 0.39/0.71 (step @p922 :rule not_implies_elim2 :premises (@p921)) % 0.39/0.71 (step @p923 :rule not_implies_elim2 :premises (@p922)) % 0.39/0.71 (step @p924 :rule not_implies_elim2 :premises (@p923)) % 0.39/0.71 (step @p925 :rule not_implies_elim2 :premises (@p924)) % 0.39/0.71 (step @p926 :rule not_implies_elim2 :premises (@p925)) % 0.39/0.71 (step @p927 :rule not_implies_elim2 :premises (@p926)) % 0.39/0.71 (step @p928 :rule not_implies_elim2 :premises (@p927)) % 0.39/0.71 (step @p929 :rule not_implies_elim2 :premises (@p928)) % 0.39/0.71 (step @p930 :rule not_implies_elim2 :premises (@p929)) % 0.39/0.71 (step @p931 :rule not_implies_elim2 :premises (@p930)) % 0.39/0.71 (step @p932 :rule not_implies_elim2 :premises (@p931)) % 0.39/0.71 (step @p933 :rule not_implies_elim2 :premises (@p932)) % 0.39/0.71 (step @p934 :rule not_implies_elim2 :premises (@p933)) % 0.39/0.71 (step @p935 :rule not_implies_elim2 :premises (@p934)) % 0.39/0.71 (step @p936 :rule not_implies_elim2 :premises (@p935)) % 0.39/0.71 (step @p937 :rule not_implies_elim2 :premises (@p936)) % 0.39/0.71 (step @p938 :rule not_implies_elim2 :premises (@p937)) % 0.39/0.71 (step @p939 :rule not_implies_elim2 :premises (@p938)) % 0.39/0.71 (step @p940 :rule not_implies_elim2 :premises (@p939)) % 0.39/0.71 (step @p941 :rule not_implies_elim2 :premises (@p940)) % 0.39/0.71 (step @p942 :rule not_implies_elim2 :premises (@p941)) % 0.39/0.71 (step @p943 :rule not_implies_elim2 :premises (@p942)) % 0.39/0.71 (step @p944 :rule not_implies_elim2 :premises (@p943)) % 0.39/0.71 (step @p945 :rule not_implies_elim2 :premises (@p944)) % 0.39/0.71 (step @p946 :rule not_implies_elim2 :premises (@p945)) % 0.39/0.71 (step @p947 :rule not_implies_elim2 :premises (@p946)) % 0.39/0.71 (step @p948 :rule not_implies_elim2 :premises (@p947)) % 0.39/0.71 (step @p949 :rule not_implies_elim2 :premises (@p948)) % 0.39/0.71 (step @p950 :rule not_implies_elim2 :premises (@p949)) % 0.39/0.71 (step @p951 :rule not_implies_elim2 :premises (@p950)) % 0.39/0.71 (step @p952 :rule not_implies_elim2 :premises (@p951)) % 0.39/0.71 (step @p953 :rule not_implies_elim2 :premises (@p952)) % 0.39/0.71 (step @p954 :rule not_implies_elim2 :premises (@p953)) % 0.39/0.71 (step @p955 :rule not_implies_elim2 :premises (@p954)) % 0.39/0.71 (step @p956 :rule not_implies_elim2 :premises (@p955)) % 0.39/0.71 (step @p957 :rule not_implies_elim2 :premises (@p956)) % 0.39/0.71 (step @p958 :rule not_implies_elim2 :premises (@p957)) % 0.39/0.71 (step @p959 :rule not_implies_elim2 :premises (@p958)) % 0.39/0.71 (step @p960 :rule not_implies_elim2 :premises (@p959)) % 0.39/0.71 (step @p961 :rule not_implies_elim2 :premises (@p960)) % 0.39/0.71 (step @p962 :rule not_implies_elim2 :premises (@p961)) % 0.39/0.71 (step @p963 :rule not_implies_elim2 :premises (@p962)) % 0.39/0.71 (step @p964 :rule not_implies_elim2 :premises (@p963)) % 0.39/0.71 (step @p965 :rule not_implies_elim2 :premises (@p964)) % 0.39/0.71 (step @p966 :rule not_implies_elim2 :premises (@p965)) % 0.39/0.71 (step @p967 :rule not_implies_elim2 :premises (@p966)) % 0.39/0.71 (step @p968 :rule not_implies_elim2 :premises (@p967)) % 0.39/0.71 (step @p969 :rule not_implies_elim2 :premises (@p968)) % 0.39/0.71 (step @p970 :rule not_implies_elim2 :premises (@p969)) % 0.39/0.71 (step @p971 :rule not_implies_elim2 :premises (@p970)) % 0.39/0.71 (step @p972 :rule not_implies_elim2 :premises (@p971)) % 0.39/0.71 (step @p973 :rule not_implies_elim2 :premises (@p972)) % 0.39/0.71 (step @p974 :rule not_implies_elim2 :premises (@p973)) % 0.39/0.71 (step @p975 :rule not_implies_elim2 :premises (@p974)) % 0.39/0.71 (step @p976 :rule not_implies_elim2 :premises (@p975)) % 0.39/0.71 (step @p977 :rule not_implies_elim2 :premises (@p976)) % 0.39/0.71 (step @p978 :rule not_implies_elim2 :premises (@p977)) % 0.39/0.71 (step @p979 :rule not_implies_elim2 :premises (@p978)) % 0.39/0.71 (step @p980 :rule not_implies_elim2 :premises (@p979)) % 0.39/0.71 (step @p981 :rule not_implies_elim2 :premises (@p980)) % 0.39/0.71 (step @p982 :rule not_implies_elim2 :premises (@p981)) % 0.39/0.71 (step @p983 :rule not_implies_elim2 :premises (@p982)) % 0.39/0.71 (step @p984 :rule not_implies_elim2 :premises (@p983)) % 0.39/0.71 (step @p985 :rule not_implies_elim2 :premises (@p984)) % 0.39/0.71 (step @p986 :rule not_implies_elim2 :premises (@p985)) % 0.39/0.71 (step @p987 :rule not_implies_elim2 :premises (@p986)) % 0.39/0.71 (step @p988 :rule not_implies_elim2 :premises (@p987)) % 0.39/0.71 (step @p989 :rule not_implies_elim2 :premises (@p988)) % 0.39/0.71 (step @p990 :rule not_implies_elim2 :premises (@p989)) % 0.39/0.71 (step @p991 :rule not_implies_elim2 :premises (@p990)) % 0.39/0.71 (step @p992 :rule not_implies_elim2 :premises (@p991)) % 0.39/0.71 (step @p993 :rule not_implies_elim2 :premises (@p992)) % 0.39/0.71 (step @p994 :rule not_implies_elim2 :premises (@p993)) % 0.39/0.71 (step @p995 :rule not_implies_elim2 :premises (@p994)) % 0.39/0.71 (step @p996 :rule not_implies_elim2 :premises (@p995)) % 0.39/0.71 (step @p997 :rule not_implies_elim2 :premises (@p996)) % 0.39/0.71 (step @p998 :rule not_implies_elim2 :premises (@p997)) % 0.39/0.71 (step @p999 :rule not_implies_elim2 :premises (@p998)) % 0.39/0.71 (step @p1000 :rule not_implies_elim2 :premises (@p999)) % 0.39/0.71 (step @p1001 :rule not_implies_elim2 :premises (@p1000)) % 0.39/0.71 (step @p1002 :rule not_implies_elim2 :premises (@p1001)) % 0.39/0.71 (step @p1003 :rule not_implies_elim2 :premises (@p1002)) % 0.39/0.71 (step @p1004 :rule not_implies_elim2 :premises (@p1003)) % 0.39/0.71 (step @p1005 :rule not_implies_elim2 :premises (@p1004)) % 0.39/0.71 (step @p1006 :rule not_implies_elim2 :premises (@p1005)) % 0.39/0.71 (step @p1007 :rule not_implies_elim2 :premises (@p1006)) % 0.39/0.71 (step @p1008 :rule not_implies_elim2 :premises (@p1007)) % 0.39/0.71 (step @p1009 :rule not_implies_elim2 :premises (@p1008)) % 0.39/0.71 (step @p1010 :rule not_implies_elim2 :premises (@p1009)) % 0.39/0.71 (step @p1011 :rule not_implies_elim2 :premises (@p1010)) % 0.39/0.71 (step @p1012 :rule not_implies_elim2 :premises (@p1011)) % 0.39/0.71 (step @p1013 :rule not_implies_elim2 :premises (@p1012)) % 0.39/0.71 (step @p1014 :rule not_implies_elim2 :premises (@p1013)) % 0.39/0.71 (step @p1015 :rule not_implies_elim2 :premises (@p1014)) % 0.39/0.71 (step @p1016 :rule not_implies_elim2 :premises (@p1015)) % 0.39/0.71 (step @p1017 :rule not_implies_elim2 :premises (@p1016)) % 0.39/0.71 (step @p1018 :rule not_implies_elim2 :premises (@p1017)) % 0.39/0.71 (step @p1019 :rule not_implies_elim2 :premises (@p1018)) % 0.39/0.71 (step @p1020 :rule not_implies_elim2 :premises (@p1019)) % 0.39/0.71 (step @p1021 :rule not_implies_elim2 :premises (@p1020)) % 0.39/0.71 (step @p1022 :rule not_implies_elim2 :premises (@p1021)) % 0.39/0.71 (step @p1023 :rule not_implies_elim2 :premises (@p1022)) % 0.39/0.71 (step @p1024 :rule not_implies_elim2 :premises (@p1023)) % 0.39/0.71 (step @p1025 :rule not_implies_elim2 :premises (@p1024)) % 0.39/0.71 (step @p1026 :rule not_implies_elim2 :premises (@p1025)) % 0.39/0.71 (step @p1027 :rule not_implies_elim2 :premises (@p1026)) % 0.39/0.71 (step @p1028 :rule cong :premises (@p252 @p683) :args (@t601)) % 0.39/0.71 (step @p1029 :rule cong :premises (@p316 @p1028) :args (@t602)) % 0.39/0.71 (step @p1030 :rule cong :premises (@p1029) :args (@t603)) % 0.39/0.71 (step @p1031 :rule trans :premises (@p1030 @p188)) % 0.39/0.71 (step @p1032 :rule cong :premises (@p324 @p1031) :args ((= tptp.singletonprop @t603))) % 0.39/0.71 (step @p1033 :rule cong :premises (@p708 @p702) :args (@t151)) % 0.39/0.71 (step @p1034 :rule cong :premises (@p710 @p1033) :args (@t155)) % 0.39/0.71 (step @p1035 :rule cong :premises (@p1034) :args (@t156)) % 0.39/0.71 (step @p1036 :rule cong :premises (@p324 @p1035) :args (@t157)) % 0.39/0.71 (step @p1037 :rule trans :premises (@p1036 @p1032)) % 0.39/0.71 (step @p1038 :rule eq_resolve :premises (@p154 @p1037)) % 0.39/0.71 (step @p1039 :rule not_implies_elim1 :premises (@p1024)) % 0.39/0.71 (step @p1040 :rule eq_resolve :premises (@p1039 @p1038)) % 0.39/0.71 (step @p1041 false :rule contra :premises (@p1040 @p1027)) % 0.39/0.71 ) % 0.39/0.71 % SZS output end Proof % 0.39/0.71 % cvc5 exiting %------------------------------------------------------------------------------