%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU661^1 : 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 : n018.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 08:52:37 AM UTC 2026 % Result : Theorem 0.43s 0.74s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU661^1 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n018.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:44:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.40/0.57 %----Proving TH0 % 0.43/0.74 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.43/0.74 % SZS status Theorem % 0.43/0.74 % SZS output start Proof % 0.43/0.74 ( % 0.43/0.74 (declare-sort $$unsorted 0) % 0.43/0.74 (declare-const tptp.emptyset $$unsorted) % 0.43/0.74 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.74 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.43/0.74 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.43/0.74 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 0.43/0.74 (declare-const tptp.setukpairinjR Bool) % 0.43/0.74 (declare-const tptp.setukpairinjR2 Bool) % 0.43/0.74 (declare-const tptp.upairequniteq Bool) % 0.43/0.74 (declare-const tptp.setukpairinjR11 Bool) % 0.43/0.74 (declare-const tptp.setukpairinjL Bool) % 0.43/0.74 (declare-const tptp.kfstpairEq Bool) % 0.43/0.74 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 0.43/0.74 (declare-const tptp.kfstsingleton Bool) % 0.43/0.74 (declare-const tptp.setukpairinjL1 Bool) % 0.43/0.74 (declare-const tptp.setunionsingleton Bool) % 0.43/0.74 (declare-const tptp.kpairsurjEq Bool) % 0.43/0.74 (declare-const tptp.setunionE2 Bool) % 0.43/0.74 (declare-const tptp.ksndpairEq Bool) % 0.43/0.74 (declare-const tptp.cartprodmempair Bool) % 0.43/0.74 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.74 (declare-const tptp.ubforcartprodlem3 Bool) % 0.43/0.74 (declare-const tptp.ubforcartprodlem2 Bool) % 0.43/0.74 (declare-const tptp.upairsubunion Bool) % 0.43/0.74 (declare-const tptp.singletoninpowunion Bool) % 0.43/0.74 (declare-const tptp.singletoninpowerset Bool) % 0.43/0.74 (declare-const tptp.setukpairIR Bool) % 0.43/0.74 (declare-const tptp.secondinupair Bool) % 0.43/0.74 (declare-const tptp.symdiffIneg2 Bool) % 0.43/0.74 (declare-const tptp.ex1I Bool) % 0.43/0.74 (declare-const tptp.symdiffI2 Bool) % 0.43/0.74 (declare-const tptp.symdiffI1 Bool) % 0.43/0.74 (declare-const tptp.setminusIRneg Bool) % 0.43/0.74 (declare-const tptp.setminusILneg Bool) % 0.43/0.74 (declare-const tptp.setminusERneg Bool) % 0.43/0.74 (declare-const tptp.setminusI Bool) % 0.43/0.74 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.74 (declare-const tptp.bs114d Bool) % 0.43/0.74 (declare-const tptp.setukpairinjL2 Bool) % 0.43/0.74 (declare-const tptp.emptyE1 Bool) % 0.43/0.74 (declare-const tptp.upairset2E Bool) % 0.43/0.74 (declare-const tptp.inPowerset Bool) % 0.43/0.74 (declare-const tptp.upairsetIR Bool) % 0.43/0.74 (declare-const tptp.setunion__Cong Bool) % 0.43/0.74 (declare-const tptp.cartprodfstin Bool) % 0.43/0.74 (declare-const tptp.powersetE1 Bool) % 0.43/0.74 (declare-const tptp.singletonsswitch Bool) % 0.43/0.74 (declare-const tptp.subset2powerset Bool) % 0.43/0.74 (declare-const tptp.notinsingleton Bool) % 0.43/0.74 (declare-const tptp.subPowSU Bool) % 0.43/0.74 (declare-const tptp.binintersectSubset5 Bool) % 0.43/0.74 (declare-const tptp.exuE1 Bool) % 0.43/0.74 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.74 (declare-const tptp.setunionI Bool) % 0.43/0.74 (declare-const tptp.ksndsingleton Bool) % 0.43/0.74 (declare-const tptp.notdexE Bool) % 0.43/0.74 (declare-const tptp.powersetE Bool) % 0.43/0.74 (declare-const tptp.omegaSAx Bool) % 0.43/0.74 (declare-const tptp.setadjoinE Bool) % 0.43/0.74 (declare-const tptp.emptyinunitempty Bool) % 0.43/0.74 (declare-const tptp.setminusEL Bool) % 0.43/0.74 (declare-const tptp.descr__Cong Bool) % 0.43/0.74 (declare-const tptp.nonemptyI1 Bool) % 0.43/0.74 (declare-const tptp.emptysetAx Bool) % 0.43/0.74 (declare-const tptp.singletonprop Bool) % 0.43/0.74 (declare-const tptp.nonemptyI Bool) % 0.43/0.74 (declare-const tptp.upairsetIL Bool) % 0.43/0.74 (declare-const tptp.powersetI1 Bool) % 0.43/0.74 (declare-const tptp.kpairp Bool) % 0.43/0.74 (declare-const tptp.eqinunit Bool) % 0.43/0.74 (declare-const tptp.noeltsimpempty Bool) % 0.43/0.74 (declare-const tptp.upairsetE Bool) % 0.43/0.74 (declare-const tptp.replAx Bool) % 0.43/0.74 (declare-const tptp.powersetI Bool) % 0.43/0.74 (declare-const tptp.quantDeMorgan4 Bool) % 0.43/0.74 (declare-const tptp.ex1E1 Bool) % 0.43/0.74 (declare-const tptp.setunionE Bool) % 0.43/0.74 (declare-const tptp.omegaIndAx Bool) % 0.43/0.74 (declare-const tptp.setunionAx Bool) % 0.43/0.74 (declare-const tptp.setoftrueEq Bool) % 0.43/0.74 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.43/0.74 (declare-const tptp.setukpairinjR12 Bool) % 0.43/0.74 (declare-const tptp.upairset2IR Bool) % 0.43/0.74 (declare-const tptp.setminusELneg Bool) % 0.43/0.74 (declare-const tptp.powersetAx Bool) % 0.43/0.74 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.43/0.74 (declare-const tptp.emptyI Bool) % 0.43/0.74 (declare-const tptp.subsetemptysetimpeq Bool) % 0.43/0.74 (declare-const tptp.setminusER Bool) % 0.43/0.74 (declare-const tptp.setadjoinAx Bool) % 0.43/0.74 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.74 (declare-const tptp.omega $$unsorted) % 0.43/0.74 (declare-const tptp.emptyInPowerset Bool) % 0.43/0.74 (declare-const tptp.eqimpsubset1 Bool) % 0.43/0.74 (declare-const tptp.cartprodpairin Bool) % 0.43/0.74 (declare-const tptp.binunionE Bool) % 0.43/0.74 (declare-const tptp.dsetconstrER Bool) % 0.43/0.74 (declare-const tptp.notdallE Bool) % 0.43/0.74 (declare-const tptp.cartprodmempair1 Bool) % 0.43/0.74 (declare-const tptp.binunionRsub Bool) % 0.43/0.74 (declare-const tptp.cartprodpairmemEL Bool) % 0.43/0.74 (declare-const tptp.emptysetimpfalse Bool) % 0.43/0.74 (declare-const tptp.foundationAx Bool) % 0.43/0.74 (declare-const tptp.exuE2 Bool) % 0.43/0.74 (declare-const tptp.notinemptyset Bool) % 0.43/0.74 (declare-const tptp.singletonsuniq Bool) % 0.43/0.74 (declare-const tptp.subsetRefl Bool) % 0.43/0.74 (declare-const tptp.uniqinunit Bool) % 0.43/0.74 (declare-const tptp.cartprodpairmemER Bool) % 0.43/0.74 (declare-const tptp.exuE3u Bool) % 0.43/0.74 (declare-const tptp.setukpairIL Bool) % 0.43/0.74 (declare-const tptp.subsetTrans Bool) % 0.43/0.74 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.43/0.74 (declare-const tptp.setadjoinOr Bool) % 0.43/0.74 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.74 (declare-const tptp.wellorderingAx Bool) % 0.43/0.74 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.43/0.74 (declare-const tptp.vacuousDall Bool) % 0.43/0.74 (declare-const tptp.upairinpowunion Bool) % 0.43/0.74 (declare-const tptp.sepInPowerset Bool) % 0.43/0.74 (declare-const tptp.iskpair (-> $$unsorted Bool)) % 0.43/0.74 (declare-const tptp.nonemptyImpWitness Bool) % 0.43/0.74 (declare-const tptp.binintersectLsub Bool) % 0.43/0.74 (declare-const tptp.dsetconstrI Bool) % 0.43/0.74 (declare-const tptp.setminusSubset1 Bool) % 0.43/0.74 (declare-const tptp.emptyinPowerset Bool) % 0.43/0.74 (declare-const tptp.prop2setI Bool) % 0.43/0.74 (declare-const tptp.dsetconstrEL Bool) % 0.43/0.74 (declare-const tptp.prop2set2propI Bool) % 0.43/0.74 (declare-const tptp.binunionLsub Bool) % 0.43/0.74 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.43/0.74 (declare-const tptp.exuI2 Bool) % 0.43/0.74 (declare-const tptp.prop2setE Bool) % 0.43/0.74 (declare-const tptp.exuEu Bool) % 0.43/0.74 (declare-const tptp.setadjoinIL Bool) % 0.43/0.74 (declare-const tptp.omega__Cong Bool) % 0.43/0.74 (declare-const tptp.cartprodsndin Bool) % 0.43/0.74 (declare-const tptp.emptysetE Bool) % 0.43/0.74 (declare-const tptp.symdiffIneg1 Bool) % 0.43/0.74 (declare-const tptp.notequalI1 Bool) % 0.43/0.74 (declare-const tptp.ubforcartprodlem1 Bool) % 0.43/0.74 (declare-const tptp.quantDeMorgan1 Bool) % 0.43/0.74 (declare-const tptp.setminusSubset2 Bool) % 0.43/0.74 (declare-const tptp.setadjoinIR Bool) % 0.43/0.74 (declare-const tptp.dsetconstr__Cong Bool) % 0.43/0.74 (declare-const tptp.sepSubset Bool) % 0.43/0.74 (declare-const tptp.quantDeMorgan2 Bool) % 0.43/0.74 (declare-const tptp.subsetI1 Bool) % 0.43/0.74 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.43/0.74 (declare-const tptp.subsetE Bool) % 0.43/0.74 (declare-const tptp.exuI3 Bool) % 0.43/0.74 (declare-const tptp.subsetE2 Bool) % 0.43/0.74 (declare-const tptp.inCongP Bool) % 0.43/0.74 (declare-const tptp.setunionsingleton1 Bool) % 0.43/0.74 (declare-const tptp.in__Cong Bool) % 0.43/0.74 (declare-const tptp.exu__Cong Bool) % 0.43/0.74 (declare-const tptp.setunionsingleton2 Bool) % 0.43/0.74 (declare-const tptp.exuE3e Bool) % 0.43/0.74 (declare-const tptp.binintersectSubset3 Bool) % 0.43/0.74 (declare-const tptp.setadjoin__Cong Bool) % 0.43/0.74 (declare-const tptp.emptyset__Cong Bool) % 0.43/0.74 (declare-const tptp.binintersectRsub Bool) % 0.43/0.74 (declare-const tptp.nonemptyE1 Bool) % 0.43/0.74 (declare-const tptp.setextAx Bool) % 0.43/0.74 (declare-const tptp.powerset__Cong Bool) % 0.43/0.74 (declare-const tptp.setminusLsub Bool) % 0.43/0.74 (declare-const tptp.eqimpsubset2 Bool) % 0.43/0.74 (declare-const tptp.symdiffE Bool) % 0.43/0.74 (declare-const tptp.omega0Ax Bool) % 0.43/0.74 (declare-const tptp.subsetI2 Bool) % 0.43/0.74 (declare-const tptp.emptysetsubset Bool) % 0.43/0.74 (declare-const tptp.notsubsetI Bool) % 0.43/0.74 (declare-const tptp.ex1I2 Bool) % 0.43/0.74 (declare-const tptp.notequalI2 Bool) % 0.43/0.74 (declare-const tptp.setadjoinSub Bool) % 0.43/0.74 (declare-const tptp.kpairiskpair Bool) % 0.43/0.74 (declare-const tptp.setadjoinSub2 Bool) % 0.43/0.74 (declare-const tptp.disjointsetsI1 Bool) % 0.43/0.74 (declare-const tptp.theprop Bool) % 0.43/0.74 (declare-const tptp.singletonsubset Bool) % 0.43/0.74 (declare-const tptp.setextsub Bool) % 0.43/0.74 (declare-const tptp.setbeta Bool) % 0.43/0.74 (declare-const tptp.binintersectSubset4 Bool) % 0.43/0.74 (declare-const tptp.powersetsubset Bool) % 0.43/0.74 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.74 (declare-const tptp.binunionIL Bool) % 0.43/0.74 (declare-const tptp.binunionIR Bool) % 0.43/0.74 (declare-const tptp.setukpairinjR1 Bool) % 0.43/0.74 (declare-const tptp.descrp Bool) % 0.43/0.74 (declare-const tptp.quantDeMorgan3 Bool) % 0.43/0.74 (declare-const tptp.binunionEcases Bool) % 0.43/0.74 (declare-const tptp.exuI1 Bool) % 0.43/0.74 (declare-const tptp.binintersectI Bool) % 0.43/0.74 (declare-const tptp.binintersectEL Bool) % 0.43/0.74 (declare-const tptp.binintersectSubset2 Bool) % 0.43/0.74 (declare-const tptp.setext Bool) % 0.43/0.74 (declare-const tptp.binintersectER Bool) % 0.43/0.74 (declare-const tptp.binintersectSubset1 Bool) % 0.43/0.74 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.43/0.74 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.43/0.74 (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)))))))) % 0.43/0.74 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 0.43/0.74 (define @t1 () (@var "B" $$unsorted)) % 0.43/0.74 (define @t2 () (@var "A" $$unsorted)) % 0.43/0.74 (define @t3 () (= @t2 @t1)) % 0.43/0.74 (define @t4 () (@var "Xx" $$unsorted)) % 0.43/0.74 (define @t5 () (_ tptp.in @t4)) % 0.43/0.74 (define @t6 () (_ @t5 @t1)) % 0.43/0.74 (define @t7 () (_ @t5 @t2)) % 0.43/0.74 (define @t8 () (@list @t4)) % 0.43/0.74 (define @t9 () (@list @t2 @t1)) % 0.43/0.74 (define @t10 () (_ @t5 tptp.emptyset)) % 0.43/0.74 (define @t11 () (forall @t8 (not @t10))) % 0.43/0.74 (define @t12 () (@var "Xy" $$unsorted)) % 0.43/0.74 (define @t13 () (_ tptp.in @t12)) % 0.43/0.74 (define @t14 () (_ @t13 @t2)) % 0.43/0.74 (define @t15 () (= @t12 @t4)) % 0.43/0.74 (define @t16 () (or @t15 @t14)) % 0.43/0.74 (define @t17 () (_ tptp.setadjoin @t4)) % 0.43/0.74 (define @t18 () (_ @t17 @t2)) % 0.43/0.74 (define @t19 () (_ @t13 @t18)) % 0.43/0.74 (define @t20 () (@list @t4 @t2 @t12)) % 0.43/0.74 (define @t21 () (=> @t6 @t7)) % 0.43/0.74 (define @t22 () (forall @t8 @t21)) % 0.43/0.74 (define @t23 () (_ tptp.powerset @t2)) % 0.43/0.74 (define @t24 () (_ tptp.in @t1)) % 0.43/0.74 (define @t25 () (_ @t24 @t23)) % 0.43/0.74 (define @t26 () (_ @t24 @t2)) % 0.43/0.74 (define @t27 () (@list @t1)) % 0.43/0.74 (define @t28 () (_ tptp.setunion @t2)) % 0.43/0.74 (define @t29 () (_ @t5 @t28)) % 0.43/0.74 (define @t30 () (@list @t2 @t4)) % 0.43/0.74 (define @t31 () (_ tptp.in tptp.emptyset)) % 0.43/0.74 (define @t32 () (_ tptp.in (_ @t17 @t4))) % 0.43/0.74 (define @t33 () (_ @t5 tptp.omega)) % 0.43/0.74 (define @t34 () (@list @t2)) % 0.43/0.74 (define @t35 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.43/0.74 (define @t36 () (@list @t12)) % 0.43/0.74 (define @t37 () (exists @t8 @t7)) % 0.43/0.74 (define @t38 () (@var "E" $$unsorted)) % 0.43/0.74 (define @t39 () (@var "D" $$unsorted)) % 0.43/0.74 (define @t40 () (_ @t13 @t39)) % 0.43/0.74 (define @t41 () (@var "C" $$unsorted)) % 0.43/0.74 (define @t42 () (_ @t13 @t41)) % 0.43/0.74 (define @t43 () (_ @t5 @t41)) % 0.43/0.74 (define @t44 () (_ (_ tptp.in @t39) @t1)) % 0.43/0.74 (define @t45 () (forall @t8 (=> @t43 @t7))) % 0.43/0.74 (define @t46 () (@list @t41)) % 0.43/0.74 (define @t47 () (_ @t5 @t39)) % 0.43/0.74 (define @t48 () (_ (_ tptp.in @t41) @t1)) % 0.43/0.74 (define @t49 () (= @t4 @t12)) % 0.43/0.74 (define @t50 () (@list @t4 @t12)) % 0.43/0.74 (define @t51 () (@var "Xphi" (-> $$unsorted Bool))) % 0.43/0.74 (define @t52 () (_ @t51 @t4)) % 0.43/0.74 (define @t53 () (lambda @t8 @t52)) % 0.43/0.74 (define @t54 () (_ tptp.descr @t53)) % 0.43/0.74 (define @t55 () (_ tptp.exu @t53)) % 0.43/0.74 (define @t56 () (@list @t51)) % 0.43/0.74 (define @t57 () (_ @t51 @t12)) % 0.43/0.74 (define @t58 () (lambda @t36 @t57)) % 0.43/0.74 (define @t59 () (_ tptp.dsetconstr @t2)) % 0.43/0.74 (define @t60 () (_ @t59 @t58)) % 0.43/0.74 (define @t61 () (_ @t5 @t60)) % 0.43/0.74 (define @t62 () (@list @t2 @t51 @t4)) % 0.43/0.74 (define @t63 () (=> @t57 @t49)) % 0.43/0.74 (define @t64 () (exists @t8 (and @t52 (forall @t36 @t63)))) % 0.43/0.74 (define @t65 () (@var "Xphi" Bool)) % 0.43/0.74 (define @t66 () (_ tptp.prop2set @t65)) % 0.43/0.74 (define @t67 () (@list @t65)) % 0.43/0.74 (define @t68 () (exists @t8 @t52)) % 0.43/0.74 (define @t69 () (=> @t7 @t6)) % 0.43/0.74 (define @t70 () (forall @t8 @t69)) % 0.43/0.74 (define @t71 () (= @t2 tptp.emptyset)) % 0.43/0.74 (define @t72 () (not @t7)) % 0.43/0.74 (define @t73 () (forall @t34 (=> (forall @t8 @t72) @t71))) % 0.43/0.74 (define @t74 () (_ tptp.nonempty @t2)) % 0.43/0.74 (define @t75 () (forall @t34 (_ @t31 @t23))) % 0.43/0.74 (define @t76 () (@list @t2 @t1 @t4)) % 0.43/0.74 (define @t77 () (@list @t2 @t4 @t1)) % 0.43/0.74 (define @t78 () (exists @t8 (forall @t36 (= @t57 @t15)))) % 0.43/0.74 (define @t79 () (_ tptp.setadjoin @t12)) % 0.43/0.74 (define @t80 () (_ @t79 tptp.emptyset)) % 0.43/0.74 (define @t81 () (_ @t5 @t80)) % 0.43/0.74 (define @t82 () (_ @t17 tptp.emptyset)) % 0.43/0.74 (define @t83 () (_ @t13 @t82)) % 0.43/0.74 (define @t84 () (@var "Xz" $$unsorted)) % 0.43/0.74 (define @t85 () (_ @t17 @t80)) % 0.43/0.74 (define @t86 () (@list @t4 @t12 @t84)) % 0.43/0.74 (define @t87 () (forall @t86 (=> (_ (_ tptp.in @t84) @t85) (or (= @t84 @t4) (= @t84 @t12))))) % 0.43/0.74 (define @t88 () (forall @t50 (_ @t13 @t85))) % 0.43/0.74 (define @t89 () (_ @t59 @t53)) % 0.43/0.74 (define @t90 () (exists @t8 (and @t7 @t52))) % 0.43/0.74 (define @t91 () (@list @t2 @t51)) % 0.43/0.74 (define @t92 () (not @t52)) % 0.43/0.74 (define @t93 () (exists @t8 (and @t7 @t92))) % 0.43/0.74 (define @t94 () (not (forall @t8 (=> @t7 @t52)))) % 0.43/0.74 (define @t95 () (forall @t91 (=> @t94 @t93))) % 0.43/0.74 (define @t96 () (not @t90)) % 0.43/0.74 (define @t97 () (forall @t8 (=> @t7 @t92))) % 0.43/0.74 (define @t98 () (forall @t91 (=> @t96 @t97))) % 0.43/0.74 (define @t99 () (=> @t52 @t63)) % 0.43/0.74 (define @t100 () (forall @t50 @t99)) % 0.43/0.74 (define @t101 () (_ @t13 @t1)) % 0.43/0.74 (define @t102 () (forall @t56 (=> @t55 @t100))) % 0.43/0.74 (define @t103 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.43/0.74 (define @t104 () (lambda @t8 (_ @t103 @t4))) % 0.43/0.74 (define @t105 () (_ tptp.exu @t104)) % 0.43/0.74 (define @t106 () (=> @t49 (= @t52 (_ @t103 @t12)))) % 0.43/0.74 (define @t107 () (forall @t50 @t106)) % 0.43/0.74 (define @t108 () (@list @t51 @t103)) % 0.43/0.74 (define @t109 () (@var "Xu" $$unsorted)) % 0.43/0.74 (define @t110 () (= @t84 @t109)) % 0.43/0.74 (define @t111 () (_ tptp.powerset @t1)) % 0.43/0.74 (define @t112 () (_ tptp.subset @t2)) % 0.43/0.74 (define @t113 () (_ @t112 @t1)) % 0.43/0.74 (define @t114 () (forall @t9 (=> @t70 @t113))) % 0.43/0.74 (define @t115 () (_ tptp.subset @t1)) % 0.43/0.74 (define @t116 () (_ @t115 @t2)) % 0.43/0.74 (define @t117 () (not @t6)) % 0.43/0.74 (define @t118 () (=> @t117 @t72)) % 0.43/0.74 (define @t119 () (not @t113)) % 0.43/0.74 (define @t120 () (not @t3)) % 0.43/0.74 (define @t121 () (@list @t2 @t1 @t41)) % 0.43/0.74 (define @t122 () (_ tptp.in @t2)) % 0.43/0.74 (define @t123 () (_ (_ tptp.binunion @t2) @t1)) % 0.43/0.74 (define @t124 () (_ @t5 @t123)) % 0.43/0.74 (define @t125 () (=> @t6 @t65)) % 0.43/0.74 (define @t126 () (_ tptp.binintersect @t2)) % 0.43/0.74 (define @t127 () (_ @t126 @t1)) % 0.43/0.74 (define @t128 () (_ @t5 @t127)) % 0.43/0.74 (define @t129 () (_ tptp.subset @t41)) % 0.43/0.74 (define @t130 () (_ tptp.subset @t127)) % 0.43/0.74 (define @t131 () (= @t127 @t2)) % 0.43/0.74 (define @t132 () (= @t127 @t1)) % 0.43/0.74 (define @t133 () (_ (_ tptp.setminus @t2) @t1)) % 0.43/0.74 (define @t134 () (_ @t5 @t133)) % 0.43/0.74 (define @t135 () (= @t133 tptp.emptyset)) % 0.43/0.74 (define @t136 () (not @t134)) % 0.43/0.74 (define @t137 () (_ @t5 (_ (_ tptp.symdiff @t2) @t1))) % 0.43/0.74 (define @t138 () (not @t137)) % 0.43/0.74 (define @t139 () (_ tptp.setadjoin @t82)) % 0.43/0.74 (define @t140 () (_ @t139 (_ (_ tptp.setadjoin @t85) tptp.emptyset))) % 0.43/0.74 (define @t141 () (_ tptp.setunion @t140)) % 0.43/0.74 (define @t142 () (_ (_ tptp.kpair @t4) @t12)) % 0.43/0.74 (define @t143 () (_ tptp.in @t82)) % 0.43/0.74 (define @t144 () (_ tptp.powerset @t123)) % 0.43/0.74 (define @t145 () (_ tptp.powerset @t144)) % 0.43/0.74 (define @t146 () (_ tptp.in @t142)) % 0.43/0.74 (define @t147 () (_ (_ tptp.cartprod @t2) @t1)) % 0.43/0.74 (define @t148 () (_ @t146 @t147)) % 0.43/0.74 (define @t149 () (_ (_ tptp.in @t109) @t147)) % 0.43/0.74 (define @t150 () (@list @t2 @t1 @t109)) % 0.43/0.74 (define @t151 () (_ tptp.iskpair @t109)) % 0.43/0.74 (define @t152 () (@var "X" $$unsorted)) % 0.43/0.74 (define @t153 () (@list @t152)) % 0.43/0.74 (define @t154 () (_ tptp.setunion (_ (_ tptp.setadjoin @t2) tptp.emptyset))) % 0.43/0.74 (define @t155 () (_ tptp.singleton @t89)) % 0.43/0.74 (define @t156 () (forall @t8 (=> @t7 (forall @t36 (=> @t14 @t99))))) % 0.43/0.74 (define @t157 () (_ tptp.ex1 @t2)) % 0.43/0.74 (define @t158 () (_ @t157 @t53)) % 0.43/0.74 (define @t159 () (= @t4 @t84)) % 0.43/0.74 (define @t160 () (_ tptp.setadjoin @t84)) % 0.43/0.74 (define @t161 () (_ @t160 tptp.emptyset)) % 0.43/0.74 (define @t162 () (_ tptp.dsetconstr (_ tptp.setunion @t109))) % 0.43/0.74 (define @t163 () (@list @t109)) % 0.43/0.74 (define @t164 () (_ tptp.kfst @t109)) % 0.43/0.74 (define @t165 () (= @t140 (_ (_ tptp.setadjoin @t161) (_ (_ tptp.setadjoin (_ @t160 (_ (_ tptp.setadjoin @t109) tptp.emptyset))) tptp.emptyset)))) % 0.43/0.74 (define @t166 () (@list @t4 @t12 @t84 @t109)) % 0.43/0.74 (define @t167 () (= @t142 (_ (_ tptp.kpair @t84) @t109))) % 0.43/0.74 (define @t168 () (= @t12 @t109)) % 0.43/0.74 (define @t169 () (_ tptp.kpair @t164)) % 0.43/0.74 (define @t170 () (_ tptp.ksnd @t109)) % 0.43/0.74 (define @t171 () (@list @t2 @t1 @t4 @t12)) % 0.43/0.74 (define @t172 () (=> @t101 (= @t142 @t142))) % 0.43/0.74 (define @t173 () (forall @t36 @t172)) % 0.43/0.74 (define @t174 () (=> @t7 @t173)) % 0.43/0.74 (define @t175 () (forall @t76 @t174)) % 0.43/0.74 (define @t176 () (=> tptp.cartprodpairmemER @t175)) % 0.43/0.74 (define @t177 () (=> tptp.cartprodpairmemEL @t176)) % 0.43/0.74 (define @t178 () (=> tptp.cartprodsndin @t177)) % 0.43/0.74 (define @t179 () (=> tptp.kpairsurjEq @t178)) % 0.43/0.74 (define @t180 () (=> tptp.ksndpairEq @t179)) % 0.43/0.74 (define @t181 () (=> tptp.ksndsingleton @t180)) % 0.43/0.74 (define @t182 () (=> tptp.setukpairinjR @t181)) % 0.43/0.74 (define @t183 () (=> tptp.setukpairinjR2 @t182)) % 0.43/0.74 (define @t184 () (=> tptp.upairequniteq @t183)) % 0.43/0.74 (define @t185 () (=> tptp.setukpairinjR1 @t184)) % 0.43/0.74 (define @t186 () (=> tptp.setukpairinjR12 @t185)) % 0.43/0.74 (define @t187 () (=> tptp.setukpairinjR11 @t186)) % 0.43/0.74 (define @t188 () (=> tptp.setukpairinjL @t187)) % 0.43/0.74 (define @t189 () (=> tptp.setukpairinjL2 @t188)) % 0.43/0.74 (define @t190 () (=> tptp.cartprodfstin @t189)) % 0.43/0.74 (define @t191 () (=> tptp.kfstpairEq @t190)) % 0.43/0.74 (define @t192 () (=> tptp.theprop @t191)) % 0.43/0.74 (define @t193 () (=> tptp.kfstsingleton @t192)) % 0.43/0.74 (define @t194 () (=> tptp.setukpairinjL1 @t193)) % 0.43/0.74 (define @t195 () (=> tptp.singletonsuniq @t194)) % 0.43/0.74 (define @t196 () (=> tptp.ex1I2 @t195)) % 0.43/0.74 (define @t197 () (=> tptp.ex1I @t196)) % 0.43/0.74 (define @t198 () (=> tptp.ex1E1 @t197)) % 0.43/0.74 (define @t199 () (=> tptp.singletonprop @t198)) % 0.43/0.74 (define @t200 () (=> tptp.setunionsingleton @t199)) % 0.43/0.74 (define @t201 () (=> tptp.setunionsingleton2 @t200)) % 0.43/0.74 (define @t202 () (=> tptp.setunionsingleton1 @t201)) % 0.43/0.74 (define @t203 () (=> tptp.setunionE2 @t202)) % 0.43/0.74 (define @t204 () (=> tptp.cartprodmempair @t203)) % 0.43/0.74 (define @t205 () (=> tptp.cartprodmempair1 @t204)) % 0.43/0.74 (define @t206 () (=> tptp.cartprodpairin @t205)) % 0.43/0.74 (define @t207 () (=> tptp.ubforcartprodlem3 @t206)) % 0.43/0.74 (define @t208 () (=> tptp.ubforcartprodlem2 @t207)) % 0.43/0.74 (define @t209 () (=> tptp.ubforcartprodlem1 @t208)) % 0.43/0.74 (define @t210 () (=> tptp.upairinpowunion @t209)) % 0.43/0.74 (define @t211 () (=> tptp.upairsubunion @t210)) % 0.43/0.74 (define @t212 () (=> tptp.upairset2E @t211)) % 0.43/0.74 (define @t213 () (=> tptp.singletoninpowunion @t212)) % 0.43/0.74 (define @t214 () (=> tptp.singletoninpowerset @t213)) % 0.43/0.74 (define @t215 () (=> tptp.singletonsubset @t214)) % 0.43/0.74 (define @t216 () (=> tptp.kpairp @t215)) % 0.43/0.74 (define @t217 () (=> tptp.kpairiskpair @t216)) % 0.43/0.74 (define @t218 () (=> tptp.setukpairIR @t217)) % 0.43/0.74 (define @t219 () (=> tptp.setukpairIL @t218)) % 0.43/0.74 (define @t220 () (=> tptp.secondinupair @t219)) % 0.43/0.74 (define @t221 () (=> tptp.symdiffIneg2 @t220)) % 0.43/0.74 (define @t222 () (=> tptp.symdiffIneg1 @t221)) % 0.43/0.74 (define @t223 () (=> tptp.symdiffI2 @t222)) % 0.43/0.74 (define @t224 () (=> tptp.symdiffI1 @t223)) % 0.43/0.74 (define @t225 () (=> tptp.symdiffE @t224)) % 0.43/0.74 (define @t226 () (=> tptp.setminusSubset1 @t225)) % 0.43/0.74 (define @t227 () (=> tptp.setminusLsub @t226)) % 0.43/0.74 (define @t228 () (=> tptp.setminusIRneg @t227)) % 0.43/0.74 (define @t229 () (=> tptp.setminusILneg @t228)) % 0.43/0.74 (define @t230 () (=> tptp.setminusELneg @t229)) % 0.43/0.74 (define @t231 () (=> tptp.setminusERneg @t230)) % 0.43/0.74 (define @t232 () (=> tptp.setminusSubset2 @t231)) % 0.43/0.74 (define @t233 () (=> tptp.setminusER @t232)) % 0.43/0.74 (define @t234 () (=> tptp.setminusEL @t233)) % 0.43/0.74 (define @t235 () (=> tptp.setminusI @t234)) % 0.43/0.74 (define @t236 () (=> tptp.bs114d @t235)) % 0.43/0.74 (define @t237 () (=> tptp.binintersectSubset1 @t236)) % 0.43/0.74 (define @t238 () (=> tptp.binintersectSubset4 @t237)) % 0.43/0.74 (define @t239 () (=> tptp.binintersectRsub @t238)) % 0.43/0.74 (define @t240 () (=> tptp.disjointsetsI1 @t239)) % 0.43/0.74 (define @t241 () (=> tptp.binintersectER @t240)) % 0.43/0.74 (define @t242 () (=> tptp.binintersectSubset3 @t241)) % 0.43/0.74 (define @t243 () (=> tptp.binintersectSubset2 @t242)) % 0.43/0.74 (define @t244 () (=> tptp.binintersectLsub @t243)) % 0.43/0.74 (define @t245 () (=> tptp.binintersectEL @t244)) % 0.43/0.74 (define @t246 () (=> tptp.binintersectSubset5 @t245)) % 0.43/0.74 (define @t247 () (=> tptp.binintersectI @t246)) % 0.43/0.74 (define @t248 () (=> tptp.binunionRsub @t247)) % 0.43/0.74 (define @t249 () (=> tptp.binunionLsub @t248)) % 0.43/0.74 (define @t250 () (=> tptp.binunionE @t249)) % 0.43/0.74 (define @t251 () (=> tptp.binunionEcases @t250)) % 0.43/0.74 (define @t252 () (=> tptp.binunionIR @t251)) % 0.43/0.74 (define @t253 () (=> tptp.upairset2IR @t252)) % 0.43/0.74 (define @t254 () (=> tptp.binunionIL @t253)) % 0.43/0.74 (define @t255 () (=> tptp.sepSubset @t254)) % 0.43/0.74 (define @t256 () (=> tptp.sepInPowerset @t255)) % 0.43/0.74 (define @t257 () (=> tptp.powersetsubset @t256)) % 0.43/0.74 (define @t258 () (=> tptp.inPowerset @t257)) % 0.43/0.74 (define @t259 () (=> tptp.powersetE1 @t258)) % 0.43/0.74 (define @t260 () (=> tptp.powersetI1 @t259)) % 0.43/0.74 (define @t261 () (=> tptp.subsetemptysetimpeq @t260)) % 0.43/0.74 (define @t262 () (=> tptp.setextsub @t261)) % 0.43/0.74 (define @t263 () (=> tptp.subset2powerset @t262)) % 0.43/0.74 (define @t264 () (=> tptp.setadjoinSub2 @t263)) % 0.43/0.74 (define @t265 () (=> tptp.setadjoinSub @t264)) % 0.43/0.74 (define @t266 () (=> tptp.subsetTrans @t265)) % 0.43/0.74 (define @t267 () (=> tptp.subsetRefl @t266)) % 0.43/0.74 (define @t268 () (=> tptp.notequalI2 @t267)) % 0.43/0.74 (define @t269 () (=> tptp.notequalI1 @t268)) % 0.43/0.74 (define @t270 () (=> tptp.notsubsetI @t269)) % 0.43/0.74 (define @t271 () (=> tptp.subsetE2 @t270)) % 0.43/0.74 (define @t272 () (=> tptp.subsetE @t271)) % 0.43/0.74 (define @t273 () (=> tptp.emptysetsubset @t272)) % 0.43/0.74 (define @t274 () (=> tptp.subsetI2 @t273)) % 0.43/0.74 (define @t275 () (=> tptp.eqimpsubset1 @t274)) % 0.43/0.74 (define @t276 () (=> tptp.eqimpsubset2 @t275)) % 0.43/0.74 (define @t277 () (=> tptp.subsetI1 @t276)) % 0.43/0.74 (define @t278 () (=> tptp.dsetconstr__Cong @t277)) % 0.43/0.74 (define @t279 () (=> tptp.descr__Cong @t278)) % 0.43/0.74 (define @t280 () (=> tptp.exuEu @t279)) % 0.43/0.74 (define @t281 () (=> tptp.omega__Cong @t280)) % 0.43/0.74 (define @t282 () (=> tptp.setunion__Cong @t281)) % 0.43/0.74 (define @t283 () (=> tptp.powerset__Cong @t282)) % 0.43/0.74 (define @t284 () (=> tptp.setadjoin__Cong @t283)) % 0.43/0.74 (define @t285 () (=> tptp.emptyset__Cong @t284)) % 0.43/0.74 (define @t286 () (=> tptp.exu__Cong @t285)) % 0.43/0.74 (define @t287 () (=> tptp.exuE3u @t286)) % 0.43/0.74 (define @t288 () (=> tptp.in__Cong @t287)) % 0.43/0.74 (define @t289 () (=> tptp.inCongP @t288)) % 0.43/0.74 (define @t290 () (=> tptp.exuI2 @t289)) % 0.43/0.74 (define @t291 () (=> tptp.exuI3 @t290)) % 0.43/0.74 (define @t292 () (=> tptp.exuI1 @t291)) % 0.43/0.74 (define @t293 () (=> tptp.notdallE @t292)) % 0.43/0.74 (define @t294 () (=> tptp.notdexE @t293)) % 0.43/0.74 (define @t295 () (=> tptp.prop2set2propI @t294)) % 0.43/0.74 (define @t296 () (=> tptp.prop2setI @t295)) % 0.43/0.74 (define @t297 () (=> tptp.quantDeMorgan4 @t296)) % 0.43/0.74 (define @t298 () (=> tptp.quantDeMorgan3 @t297)) % 0.43/0.74 (define @t299 () (=> tptp.quantDeMorgan2 @t298)) % 0.43/0.74 (define @t300 () (=> tptp.quantDeMorgan1 @t299)) % 0.43/0.74 (define @t301 () (=> tptp.vacuousDall @t300)) % 0.43/0.74 (define @t302 () (=> tptp.emptyE1 @t301)) % 0.43/0.74 (define @t303 () (=> tptp.upairsetIR @t302)) % 0.43/0.74 (define @t304 () (=> tptp.upairsetIL @t303)) % 0.43/0.74 (define @t305 () (=> tptp.upairsetE @t304)) % 0.43/0.74 (define @t306 () (=> tptp.singletonsswitch @t305)) % 0.43/0.74 (define @t307 () (=> tptp.eqinunit @t306)) % 0.43/0.74 (define @t308 () (=> tptp.notinsingleton @t307)) % 0.43/0.74 (define @t309 () (=> tptp.uniqinunit @t308)) % 0.43/0.74 (define @t310 () (=> tptp.nonemptyImpWitness @t309)) % 0.43/0.74 (define @t311 () (=> tptp.exuE2 @t310)) % 0.43/0.74 (define @t312 () (=> tptp.subPowSU @t311)) % 0.43/0.74 (define @t313 () (=> tptp.setunionE @t312)) % 0.43/0.74 (define @t314 () (=> tptp.setunionI @t313)) % 0.43/0.74 (define @t315 () (=> tptp.powersetE @t314)) % 0.43/0.74 (define @t316 () (=> tptp.emptyInPowerset @t315)) % 0.43/0.74 (define @t317 () (=> tptp.emptyinPowerset @t316)) % 0.43/0.74 (define @t318 () (=> tptp.powersetI @t317)) % 0.43/0.74 (define @t319 () (=> tptp.setoftrueEq @t318)) % 0.43/0.74 (define @t320 () (=> tptp.setadjoinOr @t319)) % 0.43/0.74 (define @t321 () (=> tptp.setadjoinE @t320)) % 0.43/0.74 (define @t322 () (=> tptp.setadjoinIR @t321)) % 0.43/0.74 (define @t323 () (=> tptp.emptyinunitempty @t322)) % 0.43/0.74 (define @t324 () (=> tptp.setadjoinIL @t323)) % 0.43/0.74 (define @t325 () (=> tptp.nonemptyI1 @t324)) % 0.43/0.74 (define @t326 () (=> tptp.nonemptyI @t325)) % 0.43/0.74 (define @t327 () (=> tptp.nonemptyE1 @t326)) % 0.43/0.74 (define @t328 () (=> tptp.setbeta @t327)) % 0.43/0.74 (define @t329 () (=> tptp.noeltsimpempty @t328)) % 0.43/0.74 (define @t330 () (=> tptp.emptyI @t329)) % 0.43/0.74 (define @t331 () (=> tptp.setext @t330)) % 0.43/0.74 (define @t332 () (=> tptp.exuE3e @t331)) % 0.43/0.74 (define @t333 () (=> tptp.notinemptyset @t332)) % 0.43/0.74 (define @t334 () (=> tptp.emptysetimpfalse @t333)) % 0.43/0.74 (define @t335 () (=> tptp.emptysetE @t334)) % 0.43/0.74 (define @t336 () (=> tptp.prop2setE @t335)) % 0.43/0.74 (define @t337 () (=> tptp.exuE1 @t336)) % 0.43/0.74 (define @t338 () (=> tptp.dsetconstrER @t337)) % 0.43/0.74 (define @t339 () (=> tptp.dsetconstrEL @t338)) % 0.43/0.74 (define @t340 () (=> tptp.dsetconstrI @t339)) % 0.43/0.74 (define @t341 () (=> tptp.descrp @t340)) % 0.43/0.74 (define @t342 () (=> tptp.wellorderingAx @t341)) % 0.43/0.74 (define @t343 () (=> tptp.foundationAx @t342)) % 0.43/0.74 (define @t344 () (=> tptp.replAx @t343)) % 0.43/0.74 (define @t345 () (=> tptp.omegaIndAx @t344)) % 0.43/0.74 (define @t346 () (=> tptp.omegaSAx @t345)) % 0.43/0.74 (define @t347 () (=> tptp.omega0Ax @t346)) % 0.43/0.74 (define @t348 () (=> tptp.setunionAx @t347)) % 0.43/0.74 (define @t349 () (=> tptp.powersetAx @t348)) % 0.43/0.74 (define @t350 () (=> tptp.setadjoinAx @t349)) % 0.43/0.74 (define @t351 () (=> tptp.emptysetAx @t350)) % 0.43/0.74 (define @t352 () (=> tptp.setextAx @t351)) % 0.43/0.74 (define @t353 () (not @t352)) % 0.43/0.74 (define @t354 () (lambda @t56 @t64)) % 0.43/0.74 (define @t355 () (lambda @t8 (not (= @t4 tptp.emptyset)))) % 0.43/0.74 (define @t356 () (lambda @t34 (exists @t8 (and @t7 (= @t2 @t82))))) % 0.43/0.74 (define @t357 () (lambda @t91 @t155)) % 0.43/0.74 (assume @p1 (= tptp.setextAx (forall @t9 (=> (forall @t8 (= @t7 @t6)) @t3)))) % 0.43/0.74 (assume @p2 (= tptp.emptysetAx @t11)) % 0.43/0.74 (assume @p3 (= tptp.setadjoinAx (forall @t20 (= @t19 @t16)))) % 0.43/0.74 (assume @p4 (= tptp.powersetAx (forall @t9 (= @t25 @t22)))) % 0.43/0.74 (assume @p5 (= tptp.setunionAx (forall @t30 (= @t29 (exists @t27 (and @t6 @t26)))))) % 0.43/0.74 (assume @p6 (= tptp.omega0Ax (_ @t31 tptp.omega))) % 0.43/0.74 (assume @p7 (= tptp.omegaSAx (forall @t8 (=> @t33 (_ @t32 tptp.omega))))) % 0.43/0.74 (assume @p8 (= tptp.omegaIndAx (forall @t34 (=> (and (_ @t31 @t2) (forall @t8 (=> (and @t33 @t7) (_ @t32 @t2)))) (forall @t8 (=> @t33 @t7)))))) % 0.43/0.74 (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)))))))))) % 0.43/0.74 (assume @p10 (= tptp.foundationAx (forall @t34 (=> @t37 (exists @t27 (and @t26 (not (exists @t8 (and @t6 @t7))))))))) % 0.43/0.74 (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))))))))))))) % 0.43/0.74 (assume @p12 (= tptp.descrp (forall @t56 (=> @t55 (_ @t51 @t54))))) % 0.43/0.74 (assume @p13 (= tptp.dsetconstrI (forall @t62 (=> @t7 (=> @t52 @t61))))) % 0.43/0.74 (assume @p14 (= tptp.dsetconstrEL (forall @t62 (=> @t61 @t7)))) % 0.43/0.74 (assume @p15 (= tptp.dsetconstrER (forall @t62 (=> @t61 @t52)))) % 0.43/0.74 (assume @p16 (= tptp.exuE1 (forall @t56 (=> @t55 @t64)))) % 0.43/0.74 (assume @p17 (= tptp.prop2setE (forall (@list @t65 @t4) (=> (_ @t5 @t66) @t65)))) % 0.43/0.74 (assume @p18 (= tptp.emptysetE (forall @t8 (=> @t10 (forall @t67 @t65))))) % 0.43/0.74 (assume @p19 (= tptp.emptysetimpfalse (forall @t8 (=> @t10 false)))) % 0.43/0.74 (assume @p20 (= tptp.notinemptyset @t11)) % 0.43/0.74 (assume @p21 (= tptp.exuE3e (forall @t56 (=> @t55 @t68)))) % 0.43/0.74 (assume @p22 (= tptp.setext (forall @t9 (=> @t70 (=> @t22 @t3))))) % 0.43/0.74 (assume @p23 (= tptp.emptyI @t73)) % 0.43/0.74 (assume @p24 (= tptp.noeltsimpempty @t73)) % 0.43/0.74 (assume @p25 (= tptp.setbeta (forall @t62 (=> @t7 (= @t61 @t52))))) % 0.43/0.74 (assume @p26 (= tptp.nonemptyE1 (forall @t34 (=> @t74 @t37)))) % 0.43/0.74 (assume @p27 (= tptp.nonemptyI (forall @t62 (=> @t7 (=> @t52 (_ tptp.nonempty @t60)))))) % 0.43/0.74 (assume @p28 (= tptp.nonemptyI1 (forall @t34 (=> @t37 @t74)))) % 0.43/0.74 (assume @p29 (= tptp.setadjoinIL (forall @t50 (_ @t5 (_ @t17 @t12))))) % 0.43/0.74 (assume @p30 (= tptp.emptyinunitempty (_ @t31 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)))) % 0.43/0.74 (assume @p31 (= tptp.setadjoinIR (forall @t20 (=> @t14 @t19)))) % 0.43/0.74 (assume @p32 (= tptp.setadjoinE (forall @t20 (=> @t19 (forall @t67 (=> (=> @t15 @t65) (=> (=> @t14 @t65) @t65))))))) % 0.43/0.74 (assume @p33 (= tptp.setadjoinOr (forall @t20 (=> @t19 @t16)))) % 0.43/0.74 (assume @p34 (= tptp.setoftrueEq (forall @t34 (= (_ @t59 (lambda @t8 true)) @t2)))) % 0.43/0.74 (assume @p35 (= tptp.powersetI (forall @t9 (=> @t22 @t25)))) % 0.43/0.74 (assume @p36 (= tptp.emptyinPowerset @t75)) % 0.43/0.74 (assume @p37 (= tptp.emptyInPowerset @t75)) % 0.43/0.74 (assume @p38 (= tptp.powersetE (forall @t76 (=> @t25 @t21)))) % 0.43/0.74 (assume @p39 (= tptp.setunionI (forall @t77 (=> @t6 (=> @t26 @t29))))) % 0.43/0.74 (assume @p40 (= tptp.setunionE (forall @t30 (=> @t29 (forall @t67 (=> (forall @t27 (=> @t6 (=> @t26 @t65))) @t65)))))) % 0.43/0.74 (assume @p41 (= tptp.subPowSU (forall @t30 (=> @t7 (_ @t5 (_ tptp.powerset @t28)))))) % 0.43/0.74 (assume @p42 (= tptp.exuE2 (forall @t56 (=> @t55 @t78)))) % 0.43/0.74 (assume @p43 (= tptp.nonemptyImpWitness (forall @t34 (=> @t74 (exists @t8 (and @t7 true)))))) % 0.43/0.74 (assume @p44 (= tptp.uniqinunit (forall @t50 (=> @t81 @t49)))) % 0.43/0.74 (assume @p45 (= tptp.notinsingleton (forall @t50 (=> (not @t49) (not @t83))))) % 0.43/0.74 (assume @p46 (= tptp.eqinunit (forall @t50 (=> @t49 @t81)))) % 0.43/0.74 (assume @p47 (= tptp.singletonsswitch (forall @t50 (=> @t81 @t83)))) % 0.43/0.74 (assume @p48 (= tptp.upairsetE @t87)) % 0.43/0.74 (assume @p49 (= tptp.upairsetIL (forall @t50 (_ @t5 @t85)))) % 0.43/0.74 (assume @p50 (= tptp.upairsetIR @t88)) % 0.43/0.74 (assume @p51 (= tptp.emptyE1 (forall @t91 (=> @t90 (=> (= @t89 tptp.emptyset) false))))) % 0.43/0.74 (assume @p52 (= tptp.vacuousDall (forall (@list @t51 @t4) (=> @t10 @t52)))) % 0.43/0.74 (assume @p53 (= tptp.quantDeMorgan1 @t95)) % 0.43/0.74 (assume @p54 (= tptp.quantDeMorgan2 (forall @t91 (=> @t97 @t96)))) % 0.43/0.74 (assume @p55 (= tptp.quantDeMorgan3 @t98)) % 0.43/0.74 (assume @p56 (= tptp.quantDeMorgan4 (forall @t91 (=> @t93 @t94)))) % 0.43/0.74 (assume @p57 (= tptp.prop2setI (forall @t67 (=> @t65 (_ @t31 @t66))))) % 0.43/0.74 (assume @p58 (= tptp.prop2set2propI (forall @t67 (=> @t65 (_ tptp.set2prop @t66))))) % 0.43/0.74 (assume @p59 (= tptp.notdexE @t98)) % 0.43/0.74 (assume @p60 (= tptp.notdallE @t95)) % 0.43/0.74 (assume @p61 (= tptp.exuI1 (forall @t56 (=> @t64 @t55)))) % 0.43/0.74 (assume @p62 (= tptp.exuI3 (forall @t56 (=> @t68 (=> @t100 @t55))))) % 0.43/0.74 (assume @p63 (= tptp.exuI2 (forall @t56 (=> @t78 @t55)))) % 0.43/0.74 (assume @p64 (= tptp.inCongP (forall @t9 (=> @t3 (forall @t50 (=> @t49 (=> @t7 @t101))))))) % 0.43/0.74 (assume @p65 (= tptp.in__Cong (forall @t9 (=> @t3 (forall @t50 (=> @t49 (= @t7 @t101))))))) % 0.43/0.74 (assume @p66 (= tptp.exuE3u @t102)) % 0.43/0.74 (assume @p67 (= tptp.exu__Cong (forall @t108 (=> @t107 (= @t55 @t105))))) % 0.43/0.74 (assume @p68 (= tptp.emptyset__Cong (= tptp.emptyset tptp.emptyset))) % 0.43/0.74 (assume @p69 (= tptp.setadjoin__Cong (forall @t50 (=> @t49 (forall (@list @t84 @t109) (=> @t110 (= (_ @t17 @t84) (_ @t79 @t109)))))))) % 0.43/0.74 (assume @p70 (= tptp.powerset__Cong (forall @t9 (=> @t3 (= @t23 @t111))))) % 0.43/0.74 (assume @p71 (= tptp.setunion__Cong (forall @t9 (=> @t3 (= @t28 (_ tptp.setunion @t1)))))) % 0.43/0.74 (assume @p72 (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.43/0.74 (assume @p73 (= tptp.exuEu @t102)) % 0.43/0.74 (assume @p74 (= tptp.descr__Cong (forall @t108 (=> @t107 (=> @t55 (=> @t105 (= @t54 (_ tptp.descr @t104)))))))) % 0.43/0.74 (assume @p75 (= tptp.dsetconstr__Cong (forall @t9 (=> @t3 (forall @t108 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t101 @t106)))) (= @t89 (_ (_ tptp.dsetconstr @t1) @t104)))))))) % 0.43/0.74 (assume @p76 (= tptp.subsetI1 @t114)) % 0.43/0.74 (assume @p77 (= tptp.eqimpsubset2 (forall @t9 (=> @t3 @t116)))) % 0.43/0.74 (assume @p78 (= tptp.eqimpsubset1 (forall @t9 (=> @t3 @t113)))) % 0.43/0.74 (assume @p79 (= tptp.subsetI2 @t114)) % 0.43/0.74 (assume @p80 (= tptp.emptysetsubset (forall @t34 (_ (_ tptp.subset tptp.emptyset) @t2)))) % 0.43/0.74 (assume @p81 (= tptp.subsetE (forall @t76 (=> @t113 @t69)))) % 0.43/0.74 (assume @p82 (= tptp.subsetE2 (forall @t76 (=> @t113 @t118)))) % 0.43/0.74 (assume @p83 (= tptp.notsubsetI (forall @t76 (=> @t7 (=> @t117 @t119))))) % 0.43/0.74 (assume @p84 (= tptp.notequalI1 (forall @t9 (=> @t119 @t120)))) % 0.43/0.74 (assume @p85 (= tptp.notequalI2 (forall @t76 (=> @t7 (=> @t117 @t120))))) % 0.43/0.74 (assume @p86 (= tptp.subsetRefl (forall @t34 (_ @t112 @t2)))) % 0.43/0.74 (assume @p87 (= tptp.subsetTrans (forall @t121 (=> @t113 (=> (_ @t115 @t41) (_ @t112 @t41)))))) % 0.43/0.74 (assume @p88 (= tptp.setadjoinSub (forall (@list @t4 @t2) (_ @t112 @t18)))) % 0.43/0.74 (assume @p89 (= tptp.setadjoinSub2 (forall @t77 (=> @t113 (_ @t112 (_ @t17 @t1)))))) % 0.43/0.74 (assume @p90 (= tptp.subset2powerset (forall @t9 (=> @t113 (_ @t122 @t111))))) % 0.43/0.74 (assume @p91 (= tptp.setextsub (forall @t9 (=> @t113 (=> @t116 @t3))))) % 0.43/0.74 (assume @p92 (= tptp.subsetemptysetimpeq (forall @t34 (=> (_ @t112 tptp.emptyset) @t71)))) % 0.43/0.74 (assume @p93 (= tptp.powersetI1 (forall @t9 (=> @t116 @t25)))) % 0.43/0.74 (assume @p94 (= tptp.powersetE1 (forall @t9 (=> @t25 @t116)))) % 0.43/0.74 (assume @p95 (= tptp.inPowerset (forall @t34 (_ @t122 @t23)))) % 0.43/0.74 (assume @p96 (= tptp.powersetsubset (forall @t9 (=> @t113 (_ (_ tptp.subset @t23) @t111))))) % 0.43/0.74 (assume @p97 (= tptp.sepInPowerset (forall @t91 (_ (_ tptp.in @t89) @t23)))) % 0.43/0.74 (assume @p98 (= tptp.sepSubset (forall @t91 (_ (_ tptp.subset @t89) @t2)))) % 0.43/0.74 (assume @p99 (= tptp.binunionIL (forall @t76 (=> @t7 @t124)))) % 0.43/0.74 (assume @p100 (= tptp.upairset2IR @t88)) % 0.43/0.74 (assume @p101 (= tptp.binunionIR (forall @t76 (=> @t6 @t124)))) % 0.43/0.74 (assume @p102 (= tptp.binunionEcases (forall (@list @t2 @t1 @t4 @t65) (=> @t124 (=> (=> @t7 @t65) (=> @t125 @t65)))))) % 0.43/0.74 (assume @p103 (= tptp.binunionE (forall @t76 (=> @t124 (or @t7 @t6))))) % 0.43/0.74 (assume @p104 (= tptp.binunionLsub (forall @t9 (_ @t112 @t123)))) % 0.43/0.74 (assume @p105 (= tptp.binunionRsub (forall @t9 (_ @t115 @t123)))) % 0.43/0.74 (assume @p106 (= tptp.binintersectI (forall @t76 (=> @t7 (=> @t6 @t128))))) % 0.43/0.74 (assume @p107 (= tptp.binintersectSubset5 (forall @t121 (=> (_ @t129 @t2) (=> (_ @t129 @t1) (_ @t129 @t127)))))) % 0.43/0.74 (assume @p108 (= tptp.binintersectEL (forall @t76 (=> @t128 @t7)))) % 0.43/0.74 (assume @p109 (= tptp.binintersectLsub (forall @t9 (_ @t130 @t2)))) % 0.43/0.74 (assume @p110 (= tptp.binintersectSubset2 (forall @t9 (=> @t113 @t131)))) % 0.43/0.74 (assume @p111 (= tptp.binintersectSubset3 (forall @t9 (=> @t132 @t116)))) % 0.43/0.74 (assume @p112 (= tptp.binintersectER (forall @t76 (=> @t128 @t6)))) % 0.43/0.74 (assume @p113 (= tptp.disjointsetsI1 (forall @t9 (=> (not (exists @t8 (and @t7 @t6))) (= @t127 tptp.emptyset))))) % 0.43/0.74 (assume @p114 (= tptp.binintersectRsub (forall @t9 (_ @t130 @t1)))) % 0.43/0.74 (assume @p115 (= tptp.binintersectSubset4 (forall @t9 (=> @t116 @t132)))) % 0.43/0.74 (assume @p116 (= tptp.binintersectSubset1 (forall @t9 (=> @t131 @t113)))) % 0.43/0.74 (assume @p117 (= tptp.bs114d (forall @t121 (= (_ @t126 (_ (_ tptp.binunion @t1) @t41)) (_ (_ tptp.binunion @t127) (_ @t126 @t41)))))) % 0.43/0.74 (assume @p118 (= tptp.setminusI (forall @t76 (=> @t7 (=> @t117 @t134))))) % 0.43/0.74 (assume @p119 (= tptp.setminusEL (forall @t76 (=> @t134 @t7)))) % 0.43/0.74 (assume @p120 (= tptp.setminusER (forall @t76 (=> @t134 @t117)))) % 0.43/0.74 (assume @p121 (= tptp.setminusSubset2 (forall @t9 (=> @t113 @t135)))) % 0.43/0.74 (assume @p122 (= tptp.setminusERneg (forall @t76 (=> @t136 @t69)))) % 0.43/0.74 (assume @p123 (= tptp.setminusELneg (forall @t76 (=> @t136 @t118)))) % 0.43/0.74 (assume @p124 (= tptp.setminusILneg (forall @t76 (=> @t72 @t136)))) % 0.43/0.74 (assume @p125 (= tptp.setminusIRneg (forall @t76 (=> @t6 @t136)))) % 0.43/0.74 (assume @p126 (= tptp.setminusLsub (forall @t9 (_ (_ tptp.subset @t133) @t2)))) % 0.43/0.74 (assume @p127 (= tptp.setminusSubset1 (forall @t9 (=> @t135 @t113)))) % 0.43/0.74 (assume @p128 (= tptp.symdiffE (forall @t76 (=> @t137 (forall @t67 (=> (=> @t7 (=> @t117 @t65)) (=> (=> @t72 @t125) @t65))))))) % 0.43/0.74 (assume @p129 (= tptp.symdiffI1 (forall @t76 (=> @t7 (=> @t117 @t137))))) % 0.43/0.74 (assume @p130 (= tptp.symdiffI2 (forall @t76 (=> @t72 (=> @t6 @t137))))) % 0.43/0.74 (assume @p131 (= tptp.symdiffIneg1 (forall @t76 (=> @t7 (=> @t6 @t138))))) % 0.43/0.74 (assume @p132 (= tptp.symdiffIneg2 (forall @t76 (=> @t72 (=> @t117 @t138))))) % 0.43/0.74 (assume @p133 (= tptp.secondinupair @t88)) % 0.43/0.74 (assume @p134 (= tptp.setukpairIL (forall @t50 (_ @t5 @t141)))) % 0.43/0.74 (assume @p135 (= tptp.setukpairIR (forall @t50 (_ @t13 @t141)))) % 0.43/0.74 (assume @p136 (= tptp.kpairiskpair (forall @t50 (_ tptp.iskpair @t140)))) % 0.43/0.74 (assume @p137 (= tptp.kpairp (forall @t50 (_ tptp.iskpair @t142)))) % 0.43/0.74 (assume @p138 (= tptp.singletonsubset (forall @t30 (=> @t7 (_ (_ tptp.subset @t82) @t2))))) % 0.43/0.74 (assume @p139 (= tptp.singletoninpowerset (forall @t30 (=> @t7 (_ @t143 @t23))))) % 0.43/0.74 (assume @p140 (= tptp.singletoninpowunion (forall @t76 (=> @t7 (_ @t143 @t144))))) % 0.43/0.74 (assume @p141 (= tptp.upairset2E @t87)) % 0.43/0.74 (assume @p142 (= tptp.upairsubunion (forall @t76 (=> @t7 (forall @t36 (=> @t101 (_ (_ tptp.subset @t85) @t123))))))) % 0.43/0.74 (assume @p143 (= tptp.upairinpowunion (forall @t76 (=> @t7 (forall @t36 (=> @t101 (_ (_ tptp.in @t85) @t144))))))) % 0.43/0.74 (assume @p144 (= tptp.ubforcartprodlem1 (forall @t76 (=> @t7 (forall @t36 (=> @t101 (_ (_ tptp.subset @t140) @t144))))))) % 0.43/0.74 (assume @p145 (= tptp.ubforcartprodlem2 (forall @t76 (=> @t7 (forall @t36 (=> @t101 (_ (_ tptp.in @t140) @t145))))))) % 0.43/0.74 (assume @p146 (= tptp.ubforcartprodlem3 (forall @t76 (=> @t7 (forall @t36 (=> @t101 (_ @t146 @t145))))))) % 0.43/0.74 (assume @p147 (= tptp.cartprodpairin (forall @t76 (=> @t7 (forall @t36 (=> @t101 @t148)))))) % 0.43/0.74 (assume @p148 (= tptp.cartprodmempair1 (forall @t150 (=> @t149 (exists @t8 (and @t7 (exists @t36 (and @t101 (= @t109 @t142))))))))) % 0.43/0.74 (assume @p149 (= tptp.cartprodmempair (forall @t150 (=> @t149 @t151)))) % 0.43/0.74 (assume @p150 (= tptp.setunionE2 (forall @t30 (=> @t29 (exists @t153 (and (_ (_ tptp.in @t152) @t2) (_ @t5 @t152))))))) % 0.43/0.74 (assume @p151 (= tptp.setunionsingleton1 (forall @t34 (_ (_ tptp.subset @t154) @t2)))) % 0.43/0.74 (assume @p152 (= tptp.setunionsingleton2 (forall @t34 (_ @t112 @t154)))) % 0.43/0.74 (assume @p153 (= tptp.setunionsingleton (forall @t8 (= (_ tptp.setunion @t82) @t4)))) % 0.43/0.74 (assume @p154 (= tptp.singletonprop (forall @t91 (=> @t156 (=> @t90 @t155))))) % 0.43/0.74 (assume @p155 (= tptp.ex1E1 (forall @t91 (=> @t158 @t90)))) % 0.43/0.74 (assume @p156 (= tptp.ex1I (forall @t62 (=> @t7 (=> @t52 (=> (forall @t36 (=> @t14 (=> @t57 @t15))) (_ @t157 @t58))))))) % 0.43/0.74 (assume @p157 (= tptp.ex1I2 (forall @t91 (=> @t156 (=> @t90 @t158))))) % 0.43/0.74 (assume @p158 (= tptp.singletonsuniq (forall @t50 (=> (= @t82 @t80) @t49)))) % 0.43/0.74 (assume @p159 (= tptp.setukpairinjL1 (forall @t86 (=> (_ (_ tptp.in @t161) @t140) @t159)))) % 0.43/0.74 (assume @p160 (= tptp.kfstsingleton (forall @t163 (=> @t151 (_ tptp.singleton (_ @t162 (lambda @t8 (_ @t143 @t109)))))))) % 0.43/0.74 (assume @p161 (= tptp.theprop (forall @t153 (=> (_ tptp.singleton @t152) (_ (_ tptp.in (_ tptp.setunion @t152)) @t152))))) % 0.43/0.74 (assume @p162 (= tptp.kfstpairEq (forall @t50 (= (_ tptp.kfst @t142) @t4)))) % 0.43/0.74 (assume @p163 (= tptp.cartprodfstin (forall @t150 (=> @t149 (_ (_ tptp.in @t164) @t2))))) % 0.43/0.74 (assume @p164 (= tptp.setukpairinjL2 (forall @t166 (=> @t165 @t159)))) % 0.43/0.74 (assume @p165 (= tptp.setukpairinjL (forall @t166 (=> @t167 @t159)))) % 0.43/0.74 (assume @p166 (= tptp.setukpairinjR11 (forall @t50 (=> @t49 (= @t85 @t82))))) % 0.43/0.74 (assume @p167 (= tptp.setukpairinjR12 (forall @t50 (=> @t49 (= @t140 (_ @t139 tptp.emptyset)))))) % 0.43/0.74 (assume @p168 (= tptp.setukpairinjR1 (forall @t166 (=> @t165 (=> @t110 @t168))))) % 0.43/0.74 (assume @p169 (= tptp.upairequniteq (forall @t86 (=> (= @t85 @t161) @t49)))) % 0.43/0.74 (assume @p170 (= tptp.setukpairinjR2 (forall @t166 (=> @t165 @t168)))) % 0.43/0.74 (assume @p171 (= tptp.setukpairinjR (forall @t166 (=> @t167 @t168)))) % 0.43/0.74 (assume @p172 (= tptp.ksndsingleton (forall @t163 (=> @t151 (_ tptp.singleton (_ @t162 (lambda @t8 (= @t109 (_ @t169 @t4))))))))) % 0.43/0.74 (assume @p173 (= tptp.ksndpairEq (forall @t50 (= (_ tptp.ksnd @t142) @t12)))) % 0.43/0.74 (assume @p174 (= tptp.kpairsurjEq (forall @t163 (=> @t151 (= (_ @t169 @t170) @t109))))) % 0.43/0.74 (assume @p175 (= tptp.cartprodsndin (forall @t150 (=> @t149 (_ (_ tptp.in @t170) @t1))))) % 0.43/0.74 (assume @p176 (= tptp.cartprodpairmemEL (forall @t171 (=> @t148 @t7)))) % 0.43/0.74 (assume @p177 (= tptp.cartprodpairmemER (forall @t171 (=> @t148 @t101)))) % 0.43/0.74 (assume @p178 @t353) % 0.43/0.74 (assume @p179 true) % 0.43/0.74 (step @p180 (= tptp.exu @t354) :rule refl :args (@t354)) % 0.43/0.74 (step @p181 (= tptp.nonempty @t355) :rule refl :args (@t355)) % 0.43/0.74 (step @p182 (= tptp.singleton @t356) :rule refl :args (@t356)) % 0.43/0.74 (step @p183 (= tptp.ex1 @t357) :rule refl :args (@t357)) % 0.43/0.74 (step @p184 :rule evaluate :args ((not true))) % 0.43/0.74 (step @p185 :rule bool-impl-true1 :args (tptp.setextAx)) % 0.43/0.74 (step @p186 :rule bool-impl-true1 :args (tptp.emptysetAx)) % 0.43/0.74 (step @p187 :rule bool-impl-true1 :args (tptp.setadjoinAx)) % 0.43/0.74 (step @p188 :rule bool-impl-true1 :args (tptp.powersetAx)) % 0.43/0.74 (step @p189 :rule bool-impl-true1 :args (tptp.setunionAx)) % 0.43/0.74 (step @p190 :rule bool-impl-true1 :args (tptp.omega0Ax)) % 0.43/0.74 (step @p191 :rule bool-impl-true1 :args (tptp.omegaSAx)) % 0.43/0.74 (step @p192 :rule bool-impl-true1 :args (tptp.omegaIndAx)) % 0.43/0.74 (step @p193 :rule bool-impl-true1 :args (tptp.replAx)) % 0.43/0.74 (step @p194 :rule bool-impl-true1 :args (tptp.foundationAx)) % 0.43/0.74 (step @p195 :rule bool-impl-true1 :args (tptp.wellorderingAx)) % 0.43/0.74 (step @p196 :rule bool-impl-true1 :args (tptp.descrp)) % 0.43/0.74 (step @p197 :rule bool-impl-true1 :args (tptp.dsetconstrI)) % 0.43/0.74 (step @p198 :rule bool-impl-true1 :args (tptp.dsetconstrEL)) % 0.43/0.74 (step @p199 :rule bool-impl-true1 :args (tptp.dsetconstrER)) % 0.43/0.74 (step @p200 :rule bool-impl-true1 :args (tptp.exuE1)) % 0.43/0.74 (step @p201 :rule bool-impl-true1 :args (tptp.prop2setE)) % 0.43/0.74 (step @p202 :rule bool-impl-true1 :args (tptp.emptysetE)) % 0.43/0.74 (step @p203 :rule bool-impl-true1 :args (tptp.emptysetimpfalse)) % 0.43/0.74 (step @p204 :rule bool-impl-true1 :args (tptp.notinemptyset)) % 0.43/0.74 (step @p205 :rule bool-impl-true1 :args (tptp.exuE3e)) % 0.43/0.74 (step @p206 :rule bool-impl-true1 :args (tptp.setext)) % 0.43/0.74 (step @p207 :rule bool-impl-true1 :args (tptp.emptyI)) % 0.43/0.74 (step @p208 :rule bool-impl-true1 :args (tptp.noeltsimpempty)) % 0.43/0.74 (step @p209 :rule bool-impl-true1 :args (tptp.setbeta)) % 0.43/0.74 (step @p210 :rule bool-impl-true1 :args (tptp.nonemptyE1)) % 0.43/0.74 (step @p211 :rule bool-impl-true1 :args (tptp.nonemptyI)) % 0.43/0.74 (step @p212 :rule bool-impl-true1 :args (tptp.nonemptyI1)) % 0.43/0.74 (step @p213 :rule bool-impl-true1 :args (tptp.setadjoinIL)) % 0.43/0.74 (step @p214 :rule bool-impl-true1 :args (tptp.emptyinunitempty)) % 0.43/0.74 (step @p215 :rule bool-impl-true1 :args (tptp.setadjoinIR)) % 0.43/0.74 (step @p216 :rule bool-impl-true1 :args (tptp.setadjoinE)) % 0.43/0.74 (step @p217 :rule bool-impl-true1 :args (tptp.setadjoinOr)) % 0.43/0.74 (step @p218 :rule bool-impl-true1 :args (tptp.setoftrueEq)) % 0.43/0.74 (step @p219 :rule bool-impl-true1 :args (tptp.powersetI)) % 0.43/0.74 (step @p220 :rule bool-impl-true1 :args (tptp.emptyinPowerset)) % 0.43/0.74 (step @p221 :rule bool-impl-true1 :args (tptp.emptyInPowerset)) % 0.43/0.74 (step @p222 :rule bool-impl-true1 :args (tptp.powersetE)) % 0.43/0.74 (step @p223 :rule bool-impl-true1 :args (tptp.setunionI)) % 0.43/0.74 (step @p224 :rule bool-impl-true1 :args (tptp.setunionE)) % 0.43/0.74 (step @p225 :rule bool-impl-true1 :args (tptp.subPowSU)) % 0.43/0.74 (step @p226 :rule bool-impl-true1 :args (tptp.exuE2)) % 0.43/0.74 (step @p227 :rule bool-impl-true1 :args (tptp.nonemptyImpWitness)) % 0.43/0.74 (step @p228 :rule bool-impl-true1 :args (tptp.uniqinunit)) % 0.43/0.74 (step @p229 :rule bool-impl-true1 :args (tptp.notinsingleton)) % 0.43/0.74 (step @p230 :rule bool-impl-true1 :args (tptp.eqinunit)) % 0.43/0.74 (step @p231 :rule bool-impl-true1 :args (tptp.singletonsswitch)) % 0.43/0.74 (step @p232 :rule bool-impl-true1 :args (tptp.upairsetE)) % 0.43/0.74 (step @p233 :rule bool-impl-true1 :args (tptp.upairsetIL)) % 0.43/0.74 (step @p234 :rule bool-impl-true1 :args (tptp.upairsetIR)) % 0.43/0.74 (step @p235 :rule bool-impl-true1 :args (tptp.emptyE1)) % 0.43/0.74 (step @p236 :rule bool-impl-true1 :args (tptp.vacuousDall)) % 0.43/0.74 (step @p237 :rule bool-impl-true1 :args (tptp.quantDeMorgan1)) % 0.43/0.74 (step @p238 :rule bool-impl-true1 :args (tptp.quantDeMorgan2)) % 0.43/0.74 (step @p239 :rule bool-impl-true1 :args (tptp.quantDeMorgan3)) % 0.43/0.74 (step @p240 :rule bool-impl-true1 :args (tptp.quantDeMorgan4)) % 0.43/0.74 (step @p241 :rule bool-impl-true1 :args (tptp.prop2setI)) % 0.43/0.74 (step @p242 :rule bool-impl-true1 :args (tptp.prop2set2propI)) % 0.43/0.74 (step @p243 :rule bool-impl-true1 :args (tptp.notdexE)) % 0.43/0.74 (step @p244 :rule bool-impl-true1 :args (tptp.notdallE)) % 0.43/0.74 (step @p245 :rule bool-impl-true1 :args (tptp.exuI1)) % 0.43/0.74 (step @p246 :rule bool-impl-true1 :args (tptp.exuI3)) % 0.43/0.74 (step @p247 :rule bool-impl-true1 :args (tptp.exuI2)) % 0.43/0.74 (step @p248 :rule bool-impl-true1 :args (tptp.inCongP)) % 0.43/0.74 (step @p249 :rule bool-impl-true1 :args (tptp.in__Cong)) % 0.43/0.74 (step @p250 :rule bool-impl-true1 :args (tptp.exuE3u)) % 0.43/0.74 (step @p251 :rule bool-impl-true1 :args (tptp.exu__Cong)) % 0.43/0.74 (step @p252 :rule bool-impl-true1 :args (tptp.emptyset__Cong)) % 0.43/0.74 (step @p253 :rule bool-impl-true1 :args (tptp.setadjoin__Cong)) % 0.43/0.74 (step @p254 :rule bool-impl-true1 :args (tptp.powerset__Cong)) % 0.43/0.74 (step @p255 :rule bool-impl-true1 :args (tptp.setunion__Cong)) % 0.43/0.74 (step @p256 :rule bool-impl-true1 :args (tptp.omega__Cong)) % 0.43/0.74 (step @p257 :rule bool-impl-true1 :args (tptp.exuEu)) % 0.43/0.74 (step @p258 :rule bool-impl-true1 :args (tptp.descr__Cong)) % 0.43/0.74 (step @p259 :rule bool-impl-true1 :args (tptp.dsetconstr__Cong)) % 0.43/0.74 (step @p260 :rule bool-impl-true1 :args (tptp.subsetI1)) % 0.43/0.74 (step @p261 :rule bool-impl-true1 :args (tptp.eqimpsubset2)) % 0.43/0.74 (step @p262 :rule bool-impl-true1 :args (tptp.eqimpsubset1)) % 0.43/0.74 (step @p263 :rule bool-impl-true1 :args (tptp.subsetI2)) % 0.43/0.74 (step @p264 :rule bool-impl-true1 :args (tptp.emptysetsubset)) % 0.43/0.74 (step @p265 :rule bool-impl-true1 :args (tptp.subsetE)) % 0.43/0.74 (step @p266 :rule bool-impl-true1 :args (tptp.subsetE2)) % 0.43/0.74 (step @p267 :rule bool-impl-true1 :args (tptp.notsubsetI)) % 0.43/0.74 (step @p268 :rule bool-impl-true1 :args (tptp.notequalI1)) % 0.43/0.74 (step @p269 :rule bool-impl-true1 :args (tptp.notequalI2)) % 0.43/0.74 (step @p270 :rule bool-impl-true1 :args (tptp.subsetRefl)) % 0.43/0.74 (step @p271 :rule bool-impl-true1 :args (tptp.subsetTrans)) % 0.43/0.74 (step @p272 :rule bool-impl-true1 :args (tptp.setadjoinSub)) % 0.43/0.74 (step @p273 :rule bool-impl-true1 :args (tptp.setadjoinSub2)) % 0.43/0.74 (step @p274 :rule bool-impl-true1 :args (tptp.subset2powerset)) % 0.43/0.74 (step @p275 :rule bool-impl-true1 :args (tptp.setextsub)) % 0.43/0.74 (step @p276 :rule bool-impl-true1 :args (tptp.subsetemptysetimpeq)) % 0.43/0.74 (step @p277 :rule bool-impl-true1 :args (tptp.powersetI1)) % 0.43/0.74 (step @p278 :rule bool-impl-true1 :args (tptp.powersetE1)) % 0.43/0.74 (step @p279 :rule bool-impl-true1 :args (tptp.inPowerset)) % 0.43/0.74 (step @p280 :rule bool-impl-true1 :args (tptp.powersetsubset)) % 0.43/0.74 (step @p281 :rule bool-impl-true1 :args (tptp.sepInPowerset)) % 0.43/0.74 (step @p282 :rule bool-impl-true1 :args (tptp.sepSubset)) % 0.43/0.74 (step @p283 :rule bool-impl-true1 :args (tptp.binunionIL)) % 0.43/0.74 (step @p284 :rule bool-impl-true1 :args (tptp.upairset2IR)) % 0.43/0.74 (step @p285 :rule bool-impl-true1 :args (tptp.binunionIR)) % 0.43/0.74 (step @p286 :rule bool-impl-true1 :args (tptp.binunionEcases)) % 0.43/0.74 (step @p287 :rule bool-impl-true1 :args (tptp.binunionE)) % 0.43/0.74 (step @p288 :rule bool-impl-true1 :args (tptp.binunionLsub)) % 0.43/0.74 (step @p289 :rule bool-impl-true1 :args (tptp.binunionRsub)) % 0.43/0.74 (step @p290 :rule bool-impl-true1 :args (tptp.binintersectI)) % 0.43/0.74 (step @p291 :rule bool-impl-true1 :args (tptp.binintersectSubset5)) % 0.43/0.74 (step @p292 :rule bool-impl-true1 :args (tptp.binintersectEL)) % 0.43/0.74 (step @p293 :rule bool-impl-true1 :args (tptp.binintersectLsub)) % 0.43/0.74 (step @p294 :rule bool-impl-true1 :args (tptp.binintersectSubset2)) % 0.43/0.74 (step @p295 :rule bool-impl-true1 :args (tptp.binintersectSubset3)) % 0.43/0.74 (step @p296 :rule bool-impl-true1 :args (tptp.binintersectER)) % 0.43/0.74 (step @p297 :rule bool-impl-true1 :args (tptp.disjointsetsI1)) % 0.43/0.74 (step @p298 :rule bool-impl-true1 :args (tptp.binintersectRsub)) % 0.43/0.74 (step @p299 :rule bool-impl-true1 :args (tptp.binintersectSubset4)) % 0.43/0.74 (step @p300 :rule bool-impl-true1 :args (tptp.binintersectSubset1)) % 0.43/0.74 (step @p301 :rule bool-impl-true1 :args (tptp.bs114d)) % 0.43/0.74 (step @p302 :rule bool-impl-true1 :args (tptp.setminusI)) % 0.43/0.74 (step @p303 :rule bool-impl-true1 :args (tptp.setminusEL)) % 0.43/0.74 (step @p304 :rule bool-impl-true1 :args (tptp.setminusER)) % 0.43/0.74 (step @p305 :rule bool-impl-true1 :args (tptp.setminusSubset2)) % 0.43/0.74 (step @p306 :rule bool-impl-true1 :args (tptp.setminusERneg)) % 0.43/0.74 (step @p307 :rule bool-impl-true1 :args (tptp.setminusELneg)) % 0.43/0.74 (step @p308 :rule bool-impl-true1 :args (tptp.setminusILneg)) % 0.43/0.74 (step @p309 :rule bool-impl-true1 :args (tptp.setminusIRneg)) % 0.43/0.74 (step @p310 :rule bool-impl-true1 :args (tptp.setminusLsub)) % 0.43/0.74 (step @p311 :rule bool-impl-true1 :args (tptp.setminusSubset1)) % 0.43/0.74 (step @p312 :rule bool-impl-true1 :args (tptp.symdiffE)) % 0.43/0.74 (step @p313 :rule bool-impl-true1 :args (tptp.symdiffI1)) % 0.43/0.74 (step @p314 :rule bool-impl-true1 :args (tptp.symdiffI2)) % 0.43/0.74 (step @p315 :rule bool-impl-true1 :args (tptp.symdiffIneg1)) % 0.43/0.74 (step @p316 :rule bool-impl-true1 :args (tptp.symdiffIneg2)) % 0.43/0.74 (step @p317 :rule bool-impl-true1 :args (tptp.secondinupair)) % 0.43/0.74 (step @p318 :rule bool-impl-true1 :args (tptp.setukpairIL)) % 0.43/0.74 (step @p319 :rule bool-impl-true1 :args (tptp.setukpairIR)) % 0.43/0.74 (step @p320 :rule bool-impl-true1 :args (tptp.kpairiskpair)) % 0.43/0.74 (step @p321 :rule bool-impl-true1 :args (tptp.kpairp)) % 0.43/0.74 (step @p322 :rule bool-impl-true1 :args (tptp.singletonsubset)) % 0.43/0.74 (step @p323 :rule bool-impl-true1 :args (tptp.singletoninpowerset)) % 0.43/0.74 (step @p324 :rule bool-impl-true1 :args (tptp.singletoninpowunion)) % 0.43/0.74 (step @p325 :rule bool-impl-true1 :args (tptp.upairset2E)) % 0.43/0.74 (step @p326 :rule bool-impl-true1 :args (tptp.upairsubunion)) % 0.43/0.74 (step @p327 :rule bool-impl-true1 :args (tptp.upairinpowunion)) % 0.43/0.74 (step @p328 :rule bool-impl-true1 :args (tptp.ubforcartprodlem1)) % 0.43/0.74 (step @p329 :rule bool-impl-true1 :args (tptp.ubforcartprodlem2)) % 0.43/0.74 (step @p330 :rule bool-impl-true1 :args (tptp.ubforcartprodlem3)) % 0.43/0.74 (step @p331 :rule bool-impl-true1 :args (tptp.cartprodpairin)) % 0.43/0.74 (step @p332 :rule bool-impl-true1 :args (tptp.cartprodmempair1)) % 0.43/0.74 (step @p333 :rule bool-impl-true1 :args (tptp.cartprodmempair)) % 0.43/0.74 (step @p334 :rule bool-impl-true1 :args (tptp.setunionE2)) % 0.43/0.74 (step @p335 :rule bool-impl-true1 :args (tptp.setunionsingleton1)) % 0.43/0.74 (step @p336 :rule bool-impl-true1 :args (tptp.setunionsingleton2)) % 0.43/0.74 (step @p337 :rule bool-impl-true1 :args (tptp.setunionsingleton)) % 0.43/0.74 (step @p338 :rule bool-impl-true1 :args (tptp.singletonprop)) % 0.43/0.74 (step @p339 :rule bool-impl-true1 :args (tptp.ex1E1)) % 0.43/0.74 (step @p340 :rule bool-impl-true1 :args (tptp.ex1I)) % 0.43/0.74 (step @p341 :rule bool-impl-true1 :args (tptp.ex1I2)) % 0.43/0.74 (step @p342 :rule bool-impl-true1 :args (tptp.singletonsuniq)) % 0.43/0.74 (step @p343 :rule bool-impl-true1 :args (tptp.setukpairinjL1)) % 0.43/0.74 (step @p344 :rule bool-impl-true1 :args (tptp.kfstsingleton)) % 0.43/0.74 (step @p345 :rule bool-impl-true1 :args (tptp.theprop)) % 0.43/0.74 (step @p346 :rule bool-impl-true1 :args (tptp.kfstpairEq)) % 0.43/0.74 (step @p347 :rule bool-impl-true1 :args (tptp.cartprodfstin)) % 0.43/0.74 (step @p348 :rule bool-impl-true1 :args (tptp.setukpairinjL2)) % 0.43/0.74 (step @p349 :rule bool-impl-true1 :args (tptp.setukpairinjL)) % 0.43/0.74 (step @p350 :rule bool-impl-true1 :args (tptp.setukpairinjR11)) % 0.43/0.74 (step @p351 :rule bool-impl-true1 :args (tptp.setukpairinjR12)) % 0.43/0.74 (step @p352 :rule bool-impl-true1 :args (tptp.setukpairinjR1)) % 0.43/0.74 (step @p353 :rule bool-impl-true1 :args (tptp.upairequniteq)) % 0.43/0.74 (step @p354 :rule bool-impl-true1 :args (tptp.setukpairinjR2)) % 0.43/0.74 (step @p355 :rule bool-impl-true1 :args (tptp.setukpairinjR)) % 0.43/0.74 (step @p356 :rule bool-impl-true1 :args (tptp.ksndsingleton)) % 0.43/0.74 (step @p357 :rule bool-impl-true1 :args (tptp.ksndpairEq)) % 0.43/0.74 (step @p358 :rule bool-impl-true1 :args (tptp.kpairsurjEq)) % 0.43/0.74 (step @p359 :rule bool-impl-true1 :args (tptp.cartprodsndin)) % 0.43/0.74 (step @p360 :rule bool-impl-true1 :args (tptp.cartprodpairmemEL)) % 0.43/0.74 (step @p361 :rule bool-impl-true1 :args (tptp.cartprodpairmemER)) % 0.43/0.74 (step @p362 :rule quant-unused-vars :args ((= (forall @t76 true) true))) % 0.43/0.74 (step @p363 :rule bool-impl-true1 :args (@t7)) % 0.43/0.74 (step @p364 :rule quant-unused-vars :args ((= (forall @t36 true) true))) % 0.43/0.74 (step @p365 :rule bool-impl-true1 :args (@t101)) % 0.43/0.74 (step @p366 :rule eq-refl :args (@t142)) % 0.43/0.74 (step @p367 :rule refl :args (@t101)) % 0.43/0.74 (step @p368 :rule cong :premises (@p367 @p366) :args (@t172)) % 0.43/0.74 (step @p369 :rule trans :premises (@p368 @p365)) % 0.43/0.74 (step @p370 :rule cong :premises (@p369) :args (@t173)) % 0.43/0.74 (step @p371 :rule trans :premises (@p370 @p364)) % 0.43/0.74 (step @p372 :rule refl :args (@t7)) % 0.43/0.74 (step @p373 :rule cong :premises (@p372 @p371) :args (@t174)) % 0.43/0.74 (step @p374 :rule trans :premises (@p373 @p363)) % 0.43/0.74 (step @p375 :rule cong :premises (@p374) :args (@t175)) % 0.43/0.74 (step @p376 :rule trans :premises (@p375 @p362)) % 0.43/0.74 (step @p377 :rule refl :args (tptp.cartprodpairmemER)) % 0.43/0.74 (step @p378 :rule cong :premises (@p377 @p376) :args (@t176)) % 0.43/0.74 (step @p379 :rule trans :premises (@p378 @p361)) % 0.43/0.74 (step @p380 :rule refl :args (tptp.cartprodpairmemEL)) % 0.43/0.74 (step @p381 :rule cong :premises (@p380 @p379) :args (@t177)) % 0.43/0.74 (step @p382 :rule trans :premises (@p381 @p360)) % 0.43/0.74 (step @p383 :rule refl :args (tptp.cartprodsndin)) % 0.43/0.74 (step @p384 :rule cong :premises (@p383 @p382) :args (@t178)) % 0.43/0.74 (step @p385 :rule trans :premises (@p384 @p359)) % 0.43/0.74 (step @p386 :rule refl :args (tptp.kpairsurjEq)) % 0.43/0.74 (step @p387 :rule cong :premises (@p386 @p385) :args (@t179)) % 0.43/0.74 (step @p388 :rule trans :premises (@p387 @p358)) % 0.43/0.74 (step @p389 :rule refl :args (tptp.ksndpairEq)) % 0.43/0.74 (step @p390 :rule cong :premises (@p389 @p388) :args (@t180)) % 0.43/0.74 (step @p391 :rule trans :premises (@p390 @p357)) % 0.43/0.74 (step @p392 :rule refl :args (tptp.ksndsingleton)) % 0.43/0.74 (step @p393 :rule cong :premises (@p392 @p391) :args (@t181)) % 0.43/0.74 (step @p394 :rule trans :premises (@p393 @p356)) % 0.43/0.74 (step @p395 :rule refl :args (tptp.setukpairinjR)) % 0.43/0.74 (step @p396 :rule cong :premises (@p395 @p394) :args (@t182)) % 0.43/0.74 (step @p397 :rule trans :premises (@p396 @p355)) % 0.43/0.74 (step @p398 :rule refl :args (tptp.setukpairinjR2)) % 0.43/0.74 (step @p399 :rule cong :premises (@p398 @p397) :args (@t183)) % 0.43/0.74 (step @p400 :rule trans :premises (@p399 @p354)) % 0.43/0.74 (step @p401 :rule refl :args (tptp.upairequniteq)) % 0.43/0.74 (step @p402 :rule cong :premises (@p401 @p400) :args (@t184)) % 0.43/0.74 (step @p403 :rule trans :premises (@p402 @p353)) % 0.43/0.74 (step @p404 :rule refl :args (tptp.setukpairinjR1)) % 0.43/0.74 (step @p405 :rule cong :premises (@p404 @p403) :args (@t185)) % 0.43/0.74 (step @p406 :rule trans :premises (@p405 @p352)) % 0.43/0.74 (step @p407 :rule refl :args (tptp.setukpairinjR12)) % 0.43/0.74 (step @p408 :rule cong :premises (@p407 @p406) :args (@t186)) % 0.43/0.74 (step @p409 :rule trans :premises (@p408 @p351)) % 0.43/0.74 (step @p410 :rule refl :args (tptp.setukpairinjR11)) % 0.43/0.74 (step @p411 :rule cong :premises (@p410 @p409) :args (@t187)) % 0.43/0.74 (step @p412 :rule trans :premises (@p411 @p350)) % 0.43/0.74 (step @p413 :rule refl :args (tptp.setukpairinjL)) % 0.43/0.74 (step @p414 :rule cong :premises (@p413 @p412) :args (@t188)) % 0.43/0.74 (step @p415 :rule trans :premises (@p414 @p349)) % 0.43/0.74 (step @p416 :rule refl :args (tptp.setukpairinjL2)) % 0.43/0.74 (step @p417 :rule cong :premises (@p416 @p415) :args (@t189)) % 0.43/0.74 (step @p418 :rule trans :premises (@p417 @p348)) % 0.43/0.74 (step @p419 :rule refl :args (tptp.cartprodfstin)) % 0.43/0.74 (step @p420 :rule cong :premises (@p419 @p418) :args (@t190)) % 0.43/0.74 (step @p421 :rule trans :premises (@p420 @p347)) % 0.43/0.74 (step @p422 :rule refl :args (tptp.kfstpairEq)) % 0.43/0.74 (step @p423 :rule cong :premises (@p422 @p421) :args (@t191)) % 0.43/0.74 (step @p424 :rule trans :premises (@p423 @p346)) % 0.43/0.74 (step @p425 :rule refl :args (tptp.theprop)) % 0.43/0.74 (step @p426 :rule cong :premises (@p425 @p424) :args (@t192)) % 0.43/0.74 (step @p427 :rule trans :premises (@p426 @p345)) % 0.43/0.74 (step @p428 :rule refl :args (tptp.kfstsingleton)) % 0.43/0.74 (step @p429 :rule cong :premises (@p428 @p427) :args (@t193)) % 0.43/0.74 (step @p430 :rule trans :premises (@p429 @p344)) % 0.43/0.74 (step @p431 :rule refl :args (tptp.setukpairinjL1)) % 0.43/0.74 (step @p432 :rule cong :premises (@p431 @p430) :args (@t194)) % 0.43/0.74 (step @p433 :rule trans :premises (@p432 @p343)) % 0.43/0.74 (step @p434 :rule refl :args (tptp.singletonsuniq)) % 0.43/0.74 (step @p435 :rule cong :premises (@p434 @p433) :args (@t195)) % 0.43/0.74 (step @p436 :rule trans :premises (@p435 @p342)) % 0.43/0.74 (step @p437 :rule refl :args (tptp.ex1I2)) % 0.43/0.74 (step @p438 :rule cong :premises (@p437 @p436) :args (@t196)) % 0.43/0.74 (step @p439 :rule trans :premises (@p438 @p341)) % 0.43/0.74 (step @p440 :rule refl :args (tptp.ex1I)) % 0.43/0.74 (step @p441 :rule cong :premises (@p440 @p439) :args (@t197)) % 0.43/0.74 (step @p442 :rule trans :premises (@p441 @p340)) % 0.43/0.74 (step @p443 :rule refl :args (tptp.ex1E1)) % 0.43/0.74 (step @p444 :rule cong :premises (@p443 @p442) :args (@t198)) % 0.43/0.74 (step @p445 :rule trans :premises (@p444 @p339)) % 0.43/0.74 (step @p446 :rule refl :args (tptp.singletonprop)) % 0.43/0.74 (step @p447 :rule cong :premises (@p446 @p445) :args (@t199)) % 0.43/0.74 (step @p448 :rule trans :premises (@p447 @p338)) % 0.43/0.74 (step @p449 :rule refl :args (tptp.setunionsingleton)) % 0.43/0.74 (step @p450 :rule cong :premises (@p449 @p448) :args (@t200)) % 0.43/0.74 (step @p451 :rule trans :premises (@p450 @p337)) % 0.43/0.74 (step @p452 :rule refl :args (tptp.setunionsingleton2)) % 0.43/0.74 (step @p453 :rule cong :premises (@p452 @p451) :args (@t201)) % 0.43/0.74 (step @p454 :rule trans :premises (@p453 @p336)) % 0.43/0.74 (step @p455 :rule refl :args (tptp.setunionsingleton1)) % 0.43/0.74 (step @p456 :rule cong :premises (@p455 @p454) :args (@t202)) % 0.43/0.74 (step @p457 :rule trans :premises (@p456 @p335)) % 0.43/0.74 (step @p458 :rule refl :args (tptp.setunionE2)) % 0.43/0.74 (step @p459 :rule cong :premises (@p458 @p457) :args (@t203)) % 0.43/0.74 (step @p460 :rule trans :premises (@p459 @p334)) % 0.43/0.74 (step @p461 :rule refl :args (tptp.cartprodmempair)) % 0.43/0.74 (step @p462 :rule cong :premises (@p461 @p460) :args (@t204)) % 0.43/0.74 (step @p463 :rule trans :premises (@p462 @p333)) % 0.43/0.74 (step @p464 :rule refl :args (tptp.cartprodmempair1)) % 0.43/0.74 (step @p465 :rule cong :premises (@p464 @p463) :args (@t205)) % 0.43/0.74 (step @p466 :rule trans :premises (@p465 @p332)) % 0.43/0.74 (step @p467 :rule refl :args (tptp.cartprodpairin)) % 0.43/0.74 (step @p468 :rule cong :premises (@p467 @p466) :args (@t206)) % 0.43/0.74 (step @p469 :rule trans :premises (@p468 @p331)) % 0.43/0.74 (step @p470 :rule refl :args (tptp.ubforcartprodlem3)) % 0.43/0.74 (step @p471 :rule cong :premises (@p470 @p469) :args (@t207)) % 0.43/0.74 (step @p472 :rule trans :premises (@p471 @p330)) % 0.43/0.74 (step @p473 :rule refl :args (tptp.ubforcartprodlem2)) % 0.43/0.74 (step @p474 :rule cong :premises (@p473 @p472) :args (@t208)) % 0.43/0.74 (step @p475 :rule trans :premises (@p474 @p329)) % 0.43/0.74 (step @p476 :rule refl :args (tptp.ubforcartprodlem1)) % 0.43/0.74 (step @p477 :rule cong :premises (@p476 @p475) :args (@t209)) % 0.43/0.74 (step @p478 :rule trans :premises (@p477 @p328)) % 0.43/0.74 (step @p479 :rule refl :args (tptp.upairinpowunion)) % 0.43/0.74 (step @p480 :rule cong :premises (@p479 @p478) :args (@t210)) % 0.43/0.74 (step @p481 :rule trans :premises (@p480 @p327)) % 0.43/0.74 (step @p482 :rule refl :args (tptp.upairsubunion)) % 0.43/0.74 (step @p483 :rule cong :premises (@p482 @p481) :args (@t211)) % 0.43/0.74 (step @p484 :rule trans :premises (@p483 @p326)) % 0.43/0.74 (step @p485 :rule refl :args (tptp.upairset2E)) % 0.43/0.74 (step @p486 :rule cong :premises (@p485 @p484) :args (@t212)) % 0.43/0.74 (step @p487 :rule trans :premises (@p486 @p325)) % 0.43/0.74 (step @p488 :rule refl :args (tptp.singletoninpowunion)) % 0.43/0.74 (step @p489 :rule cong :premises (@p488 @p487) :args (@t213)) % 0.43/0.74 (step @p490 :rule trans :premises (@p489 @p324)) % 0.43/0.74 (step @p491 :rule refl :args (tptp.singletoninpowerset)) % 0.43/0.74 (step @p492 :rule cong :premises (@p491 @p490) :args (@t214)) % 0.43/0.74 (step @p493 :rule trans :premises (@p492 @p323)) % 0.43/0.74 (step @p494 :rule refl :args (tptp.singletonsubset)) % 0.43/0.74 (step @p495 :rule cong :premises (@p494 @p493) :args (@t215)) % 0.43/0.74 (step @p496 :rule trans :premises (@p495 @p322)) % 0.43/0.74 (step @p497 :rule refl :args (tptp.kpairp)) % 0.43/0.74 (step @p498 :rule cong :premises (@p497 @p496) :args (@t216)) % 0.43/0.74 (step @p499 :rule trans :premises (@p498 @p321)) % 0.43/0.74 (step @p500 :rule refl :args (tptp.kpairiskpair)) % 0.43/0.74 (step @p501 :rule cong :premises (@p500 @p499) :args (@t217)) % 0.43/0.74 (step @p502 :rule trans :premises (@p501 @p320)) % 0.43/0.74 (step @p503 :rule refl :args (tptp.setukpairIR)) % 0.43/0.74 (step @p504 :rule cong :premises (@p503 @p502) :args (@t218)) % 0.43/0.74 (step @p505 :rule trans :premises (@p504 @p319)) % 0.43/0.74 (step @p506 :rule refl :args (tptp.setukpairIL)) % 0.43/0.74 (step @p507 :rule cong :premises (@p506 @p505) :args (@t219)) % 0.43/0.74 (step @p508 :rule trans :premises (@p507 @p318)) % 0.43/0.74 (step @p509 :rule refl :args (tptp.secondinupair)) % 0.43/0.74 (step @p510 :rule cong :premises (@p509 @p508) :args (@t220)) % 0.43/0.74 (step @p511 :rule trans :premises (@p510 @p317)) % 0.43/0.74 (step @p512 :rule refl :args (tptp.symdiffIneg2)) % 0.43/0.74 (step @p513 :rule cong :premises (@p512 @p511) :args (@t221)) % 0.43/0.74 (step @p514 :rule trans :premises (@p513 @p316)) % 0.43/0.74 (step @p515 :rule refl :args (tptp.symdiffIneg1)) % 0.43/0.74 (step @p516 :rule cong :premises (@p515 @p514) :args (@t222)) % 0.43/0.74 (step @p517 :rule trans :premises (@p516 @p315)) % 0.43/0.74 (step @p518 :rule refl :args (tptp.symdiffI2)) % 0.43/0.74 (step @p519 :rule cong :premises (@p518 @p517) :args (@t223)) % 0.43/0.74 (step @p520 :rule trans :premises (@p519 @p314)) % 0.43/0.74 (step @p521 :rule refl :args (tptp.symdiffI1)) % 0.43/0.74 (step @p522 :rule cong :premises (@p521 @p520) :args (@t224)) % 0.43/0.74 (step @p523 :rule trans :premises (@p522 @p313)) % 0.43/0.74 (step @p524 :rule refl :args (tptp.symdiffE)) % 0.43/0.74 (step @p525 :rule cong :premises (@p524 @p523) :args (@t225)) % 0.43/0.74 (step @p526 :rule trans :premises (@p525 @p312)) % 0.43/0.74 (step @p527 :rule refl :args (tptp.setminusSubset1)) % 0.43/0.74 (step @p528 :rule cong :premises (@p527 @p526) :args (@t226)) % 0.43/0.74 (step @p529 :rule trans :premises (@p528 @p311)) % 0.43/0.74 (step @p530 :rule refl :args (tptp.setminusLsub)) % 0.43/0.74 (step @p531 :rule cong :premises (@p530 @p529) :args (@t227)) % 0.43/0.74 (step @p532 :rule trans :premises (@p531 @p310)) % 0.43/0.74 (step @p533 :rule refl :args (tptp.setminusIRneg)) % 0.43/0.74 (step @p534 :rule cong :premises (@p533 @p532) :args (@t228)) % 0.43/0.74 (step @p535 :rule trans :premises (@p534 @p309)) % 0.43/0.74 (step @p536 :rule refl :args (tptp.setminusILneg)) % 0.43/0.74 (step @p537 :rule cong :premises (@p536 @p535) :args (@t229)) % 0.43/0.74 (step @p538 :rule trans :premises (@p537 @p308)) % 0.43/0.74 (step @p539 :rule refl :args (tptp.setminusELneg)) % 0.43/0.74 (step @p540 :rule cong :premises (@p539 @p538) :args (@t230)) % 0.43/0.74 (step @p541 :rule trans :premises (@p540 @p307)) % 0.43/0.74 (step @p542 :rule refl :args (tptp.setminusERneg)) % 0.43/0.74 (step @p543 :rule cong :premises (@p542 @p541) :args (@t231)) % 0.43/0.74 (step @p544 :rule trans :premises (@p543 @p306)) % 0.43/0.74 (step @p545 :rule refl :args (tptp.setminusSubset2)) % 0.43/0.74 (step @p546 :rule cong :premises (@p545 @p544) :args (@t232)) % 0.43/0.74 (step @p547 :rule trans :premises (@p546 @p305)) % 0.43/0.74 (step @p548 :rule refl :args (tptp.setminusER)) % 0.43/0.74 (step @p549 :rule cong :premises (@p548 @p547) :args (@t233)) % 0.43/0.74 (step @p550 :rule trans :premises (@p549 @p304)) % 0.43/0.74 (step @p551 :rule refl :args (tptp.setminusEL)) % 0.43/0.74 (step @p552 :rule cong :premises (@p551 @p550) :args (@t234)) % 0.43/0.74 (step @p553 :rule trans :premises (@p552 @p303)) % 0.43/0.74 (step @p554 :rule refl :args (tptp.setminusI)) % 0.43/0.74 (step @p555 :rule cong :premises (@p554 @p553) :args (@t235)) % 0.43/0.74 (step @p556 :rule trans :premises (@p555 @p302)) % 0.43/0.74 (step @p557 :rule refl :args (tptp.bs114d)) % 0.43/0.74 (step @p558 :rule cong :premises (@p557 @p556) :args (@t236)) % 0.43/0.74 (step @p559 :rule trans :premises (@p558 @p301)) % 0.43/0.74 (step @p560 :rule refl :args (tptp.binintersectSubset1)) % 0.43/0.74 (step @p561 :rule cong :premises (@p560 @p559) :args (@t237)) % 0.43/0.74 (step @p562 :rule trans :premises (@p561 @p300)) % 0.43/0.74 (step @p563 :rule refl :args (tptp.binintersectSubset4)) % 0.43/0.74 (step @p564 :rule cong :premises (@p563 @p562) :args (@t238)) % 0.43/0.74 (step @p565 :rule trans :premises (@p564 @p299)) % 0.43/0.74 (step @p566 :rule refl :args (tptp.binintersectRsub)) % 0.43/0.74 (step @p567 :rule cong :premises (@p566 @p565) :args (@t239)) % 0.43/0.74 (step @p568 :rule trans :premises (@p567 @p298)) % 0.43/0.74 (step @p569 :rule refl :args (tptp.disjointsetsI1)) % 0.43/0.74 (step @p570 :rule cong :premises (@p569 @p568) :args (@t240)) % 0.43/0.74 (step @p571 :rule trans :premises (@p570 @p297)) % 0.43/0.74 (step @p572 :rule refl :args (tptp.binintersectER)) % 0.43/0.74 (step @p573 :rule cong :premises (@p572 @p571) :args (@t241)) % 0.43/0.74 (step @p574 :rule trans :premises (@p573 @p296)) % 0.43/0.74 (step @p575 :rule refl :args (tptp.binintersectSubset3)) % 0.43/0.74 (step @p576 :rule cong :premises (@p575 @p574) :args (@t242)) % 0.43/0.74 (step @p577 :rule trans :premises (@p576 @p295)) % 0.43/0.74 (step @p578 :rule refl :args (tptp.binintersectSubset2)) % 0.43/0.74 (step @p579 :rule cong :premises (@p578 @p577) :args (@t243)) % 0.43/0.74 (step @p580 :rule trans :premises (@p579 @p294)) % 0.43/0.74 (step @p581 :rule refl :args (tptp.binintersectLsub)) % 0.43/0.74 (step @p582 :rule cong :premises (@p581 @p580) :args (@t244)) % 0.43/0.74 (step @p583 :rule trans :premises (@p582 @p293)) % 0.43/0.74 (step @p584 :rule refl :args (tptp.binintersectEL)) % 0.43/0.74 (step @p585 :rule cong :premises (@p584 @p583) :args (@t245)) % 0.43/0.74 (step @p586 :rule trans :premises (@p585 @p292)) % 0.43/0.74 (step @p587 :rule refl :args (tptp.binintersectSubset5)) % 0.43/0.74 (step @p588 :rule cong :premises (@p587 @p586) :args (@t246)) % 0.43/0.74 (step @p589 :rule trans :premises (@p588 @p291)) % 0.43/0.74 (step @p590 :rule refl :args (tptp.binintersectI)) % 0.43/0.74 (step @p591 :rule cong :premises (@p590 @p589) :args (@t247)) % 0.43/0.74 (step @p592 :rule trans :premises (@p591 @p290)) % 0.43/0.74 (step @p593 :rule refl :args (tptp.binunionRsub)) % 0.43/0.74 (step @p594 :rule cong :premises (@p593 @p592) :args (@t248)) % 0.43/0.74 (step @p595 :rule trans :premises (@p594 @p289)) % 0.43/0.74 (step @p596 :rule refl :args (tptp.binunionLsub)) % 0.43/0.74 (step @p597 :rule cong :premises (@p596 @p595) :args (@t249)) % 0.43/0.74 (step @p598 :rule trans :premises (@p597 @p288)) % 0.43/0.74 (step @p599 :rule refl :args (tptp.binunionE)) % 0.43/0.74 (step @p600 :rule cong :premises (@p599 @p598) :args (@t250)) % 0.43/0.74 (step @p601 :rule trans :premises (@p600 @p287)) % 0.43/0.74 (step @p602 :rule refl :args (tptp.binunionEcases)) % 0.43/0.74 (step @p603 :rule cong :premises (@p602 @p601) :args (@t251)) % 0.43/0.74 (step @p604 :rule trans :premises (@p603 @p286)) % 0.43/0.74 (step @p605 :rule refl :args (tptp.binunionIR)) % 0.43/0.74 (step @p606 :rule cong :premises (@p605 @p604) :args (@t252)) % 0.43/0.74 (step @p607 :rule trans :premises (@p606 @p285)) % 0.43/0.74 (step @p608 :rule refl :args (tptp.upairset2IR)) % 0.43/0.74 (step @p609 :rule cong :premises (@p608 @p607) :args (@t253)) % 0.43/0.74 (step @p610 :rule trans :premises (@p609 @p284)) % 0.43/0.74 (step @p611 :rule refl :args (tptp.binunionIL)) % 0.43/0.74 (step @p612 :rule cong :premises (@p611 @p610) :args (@t254)) % 0.43/0.74 (step @p613 :rule trans :premises (@p612 @p283)) % 0.43/0.74 (step @p614 :rule refl :args (tptp.sepSubset)) % 0.43/0.74 (step @p615 :rule cong :premises (@p614 @p613) :args (@t255)) % 0.43/0.74 (step @p616 :rule trans :premises (@p615 @p282)) % 0.43/0.74 (step @p617 :rule refl :args (tptp.sepInPowerset)) % 0.43/0.74 (step @p618 :rule cong :premises (@p617 @p616) :args (@t256)) % 0.43/0.74 (step @p619 :rule trans :premises (@p618 @p281)) % 0.43/0.74 (step @p620 :rule refl :args (tptp.powersetsubset)) % 0.43/0.74 (step @p621 :rule cong :premises (@p620 @p619) :args (@t257)) % 0.43/0.74 (step @p622 :rule trans :premises (@p621 @p280)) % 0.43/0.74 (step @p623 :rule refl :args (tptp.inPowerset)) % 0.43/0.74 (step @p624 :rule cong :premises (@p623 @p622) :args (@t258)) % 0.43/0.74 (step @p625 :rule trans :premises (@p624 @p279)) % 0.43/0.74 (step @p626 :rule refl :args (tptp.powersetE1)) % 0.43/0.74 (step @p627 :rule cong :premises (@p626 @p625) :args (@t259)) % 0.43/0.74 (step @p628 :rule trans :premises (@p627 @p278)) % 0.43/0.74 (step @p629 :rule refl :args (tptp.powersetI1)) % 0.43/0.74 (step @p630 :rule cong :premises (@p629 @p628) :args (@t260)) % 0.43/0.74 (step @p631 :rule trans :premises (@p630 @p277)) % 0.43/0.74 (step @p632 :rule refl :args (tptp.subsetemptysetimpeq)) % 0.43/0.74 (step @p633 :rule cong :premises (@p632 @p631) :args (@t261)) % 0.43/0.74 (step @p634 :rule trans :premises (@p633 @p276)) % 0.43/0.74 (step @p635 :rule refl :args (tptp.setextsub)) % 0.43/0.74 (step @p636 :rule cong :premises (@p635 @p634) :args (@t262)) % 0.43/0.74 (step @p637 :rule trans :premises (@p636 @p275)) % 0.43/0.74 (step @p638 :rule refl :args (tptp.subset2powerset)) % 0.43/0.74 (step @p639 :rule cong :premises (@p638 @p637) :args (@t263)) % 0.43/0.74 (step @p640 :rule trans :premises (@p639 @p274)) % 0.43/0.74 (step @p641 :rule refl :args (tptp.setadjoinSub2)) % 0.43/0.74 (step @p642 :rule cong :premises (@p641 @p640) :args (@t264)) % 0.43/0.74 (step @p643 :rule trans :premises (@p642 @p273)) % 0.43/0.74 (step @p644 :rule refl :args (tptp.setadjoinSub)) % 0.43/0.74 (step @p645 :rule cong :premises (@p644 @p643) :args (@t265)) % 0.43/0.74 (step @p646 :rule trans :premises (@p645 @p272)) % 0.43/0.74 (step @p647 :rule refl :args (tptp.subsetTrans)) % 0.43/0.74 (step @p648 :rule cong :premises (@p647 @p646) :args (@t266)) % 0.43/0.74 (step @p649 :rule trans :premises (@p648 @p271)) % 0.43/0.74 (step @p650 :rule refl :args (tptp.subsetRefl)) % 0.43/0.74 (step @p651 :rule cong :premises (@p650 @p649) :args (@t267)) % 0.43/0.74 (step @p652 :rule trans :premises (@p651 @p270)) % 0.43/0.74 (step @p653 :rule refl :args (tptp.notequalI2)) % 0.43/0.74 (step @p654 :rule cong :premises (@p653 @p652) :args (@t268)) % 0.43/0.74 (step @p655 :rule trans :premises (@p654 @p269)) % 0.43/0.74 (step @p656 :rule refl :args (tptp.notequalI1)) % 0.43/0.74 (step @p657 :rule cong :premises (@p656 @p655) :args (@t269)) % 0.43/0.74 (step @p658 :rule trans :premises (@p657 @p268)) % 0.43/0.74 (step @p659 :rule refl :args (tptp.notsubsetI)) % 0.43/0.74 (step @p660 :rule cong :premises (@p659 @p658) :args (@t270)) % 0.43/0.74 (step @p661 :rule trans :premises (@p660 @p267)) % 0.43/0.74 (step @p662 :rule refl :args (tptp.subsetE2)) % 0.43/0.74 (step @p663 :rule cong :premises (@p662 @p661) :args (@t271)) % 0.43/0.74 (step @p664 :rule trans :premises (@p663 @p266)) % 0.43/0.74 (step @p665 :rule refl :args (tptp.subsetE)) % 0.43/0.74 (step @p666 :rule cong :premises (@p665 @p664) :args (@t272)) % 0.43/0.74 (step @p667 :rule trans :premises (@p666 @p265)) % 0.43/0.74 (step @p668 :rule refl :args (tptp.emptysetsubset)) % 0.43/0.74 (step @p669 :rule cong :premises (@p668 @p667) :args (@t273)) % 0.43/0.74 (step @p670 :rule trans :premises (@p669 @p264)) % 0.43/0.74 (step @p671 :rule refl :args (tptp.subsetI2)) % 0.43/0.74 (step @p672 :rule cong :premises (@p671 @p670) :args (@t274)) % 0.43/0.74 (step @p673 :rule trans :premises (@p672 @p263)) % 0.43/0.74 (step @p674 :rule refl :args (tptp.eqimpsubset1)) % 0.43/0.74 (step @p675 :rule cong :premises (@p674 @p673) :args (@t275)) % 0.43/0.74 (step @p676 :rule trans :premises (@p675 @p262)) % 0.43/0.74 (step @p677 :rule refl :args (tptp.eqimpsubset2)) % 0.43/0.74 (step @p678 :rule cong :premises (@p677 @p676) :args (@t276)) % 0.43/0.74 (step @p679 :rule trans :premises (@p678 @p261)) % 0.43/0.74 (step @p680 :rule refl :args (tptp.subsetI1)) % 0.43/0.74 (step @p681 :rule cong :premises (@p680 @p679) :args (@t277)) % 0.43/0.74 (step @p682 :rule trans :premises (@p681 @p260)) % 0.43/0.74 (step @p683 :rule refl :args (tptp.dsetconstr__Cong)) % 0.43/0.74 (step @p684 :rule cong :premises (@p683 @p682) :args (@t278)) % 0.43/0.74 (step @p685 :rule trans :premises (@p684 @p259)) % 0.43/0.74 (step @p686 :rule refl :args (tptp.descr__Cong)) % 0.43/0.74 (step @p687 :rule cong :premises (@p686 @p685) :args (@t279)) % 0.43/0.74 (step @p688 :rule trans :premises (@p687 @p258)) % 0.43/0.74 (step @p689 :rule refl :args (tptp.exuEu)) % 0.43/0.74 (step @p690 :rule cong :premises (@p689 @p688) :args (@t280)) % 0.43/0.74 (step @p691 :rule trans :premises (@p690 @p257)) % 0.43/0.74 (step @p692 :rule refl :args (tptp.omega__Cong)) % 0.43/0.74 (step @p693 :rule cong :premises (@p692 @p691) :args (@t281)) % 0.43/0.74 (step @p694 :rule trans :premises (@p693 @p256)) % 0.43/0.74 (step @p695 :rule refl :args (tptp.setunion__Cong)) % 0.43/0.74 (step @p696 :rule cong :premises (@p695 @p694) :args (@t282)) % 0.43/0.74 (step @p697 :rule trans :premises (@p696 @p255)) % 0.43/0.74 (step @p698 :rule refl :args (tptp.powerset__Cong)) % 0.43/0.74 (step @p699 :rule cong :premises (@p698 @p697) :args (@t283)) % 0.43/0.74 (step @p700 :rule trans :premises (@p699 @p254)) % 0.43/0.74 (step @p701 :rule refl :args (tptp.setadjoin__Cong)) % 0.43/0.74 (step @p702 :rule cong :premises (@p701 @p700) :args (@t284)) % 0.43/0.74 (step @p703 :rule trans :premises (@p702 @p253)) % 0.43/0.74 (step @p704 :rule refl :args (tptp.emptyset__Cong)) % 0.43/0.74 (step @p705 :rule cong :premises (@p704 @p703) :args (@t285)) % 0.43/0.74 (step @p706 :rule trans :premises (@p705 @p252)) % 0.43/0.74 (step @p707 :rule refl :args (tptp.exu__Cong)) % 0.43/0.74 (step @p708 :rule cong :premises (@p707 @p706) :args (@t286)) % 0.43/0.74 (step @p709 :rule trans :premises (@p708 @p251)) % 0.43/0.74 (step @p710 :rule refl :args (tptp.exuE3u)) % 0.43/0.74 (step @p711 :rule cong :premises (@p710 @p709) :args (@t287)) % 0.43/0.74 (step @p712 :rule trans :premises (@p711 @p250)) % 0.43/0.74 (step @p713 :rule refl :args (tptp.in__Cong)) % 0.43/0.74 (step @p714 :rule cong :premises (@p713 @p712) :args (@t288)) % 0.43/0.74 (step @p715 :rule trans :premises (@p714 @p249)) % 0.43/0.74 (step @p716 :rule refl :args (tptp.inCongP)) % 0.43/0.74 (step @p717 :rule cong :premises (@p716 @p715) :args (@t289)) % 0.43/0.74 (step @p718 :rule trans :premises (@p717 @p248)) % 0.43/0.74 (step @p719 :rule refl :args (tptp.exuI2)) % 0.43/0.74 (step @p720 :rule cong :premises (@p719 @p718) :args (@t290)) % 0.43/0.74 (step @p721 :rule trans :premises (@p720 @p247)) % 0.43/0.74 (step @p722 :rule refl :args (tptp.exuI3)) % 0.43/0.74 (step @p723 :rule cong :premises (@p722 @p721) :args (@t291)) % 0.43/0.74 (step @p724 :rule trans :premises (@p723 @p246)) % 0.43/0.74 (step @p725 :rule refl :args (tptp.exuI1)) % 0.43/0.74 (step @p726 :rule cong :premises (@p725 @p724) :args (@t292)) % 0.43/0.74 (step @p727 :rule trans :premises (@p726 @p245)) % 0.43/0.74 (step @p728 :rule refl :args (tptp.notdallE)) % 0.43/0.74 (step @p729 :rule cong :premises (@p728 @p727) :args (@t293)) % 0.43/0.74 (step @p730 :rule trans :premises (@p729 @p244)) % 0.43/0.74 (step @p731 :rule refl :args (tptp.notdexE)) % 0.43/0.74 (step @p732 :rule cong :premises (@p731 @p730) :args (@t294)) % 0.43/0.74 (step @p733 :rule trans :premises (@p732 @p243)) % 0.43/0.74 (step @p734 :rule refl :args (tptp.prop2set2propI)) % 0.43/0.74 (step @p735 :rule cong :premises (@p734 @p733) :args (@t295)) % 0.43/0.74 (step @p736 :rule trans :premises (@p735 @p242)) % 0.43/0.74 (step @p737 :rule refl :args (tptp.prop2setI)) % 0.43/0.74 (step @p738 :rule cong :premises (@p737 @p736) :args (@t296)) % 0.43/0.74 (step @p739 :rule trans :premises (@p738 @p241)) % 0.43/0.74 (step @p740 :rule refl :args (tptp.quantDeMorgan4)) % 0.43/0.74 (step @p741 :rule cong :premises (@p740 @p739) :args (@t297)) % 0.43/0.74 (step @p742 :rule trans :premises (@p741 @p240)) % 0.43/0.74 (step @p743 :rule refl :args (tptp.quantDeMorgan3)) % 0.43/0.74 (step @p744 :rule cong :premises (@p743 @p742) :args (@t298)) % 0.43/0.74 (step @p745 :rule trans :premises (@p744 @p239)) % 0.43/0.74 (step @p746 :rule refl :args (tptp.quantDeMorgan2)) % 0.43/0.74 (step @p747 :rule cong :premises (@p746 @p745) :args (@t299)) % 0.43/0.74 (step @p748 :rule trans :premises (@p747 @p238)) % 0.43/0.74 (step @p749 :rule refl :args (tptp.quantDeMorgan1)) % 0.43/0.74 (step @p750 :rule cong :premises (@p749 @p748) :args (@t300)) % 0.43/0.74 (step @p751 :rule trans :premises (@p750 @p237)) % 0.43/0.74 (step @p752 :rule refl :args (tptp.vacuousDall)) % 0.43/0.74 (step @p753 :rule cong :premises (@p752 @p751) :args (@t301)) % 0.43/0.74 (step @p754 :rule trans :premises (@p753 @p236)) % 0.43/0.74 (step @p755 :rule refl :args (tptp.emptyE1)) % 0.43/0.74 (step @p756 :rule cong :premises (@p755 @p754) :args (@t302)) % 0.43/0.74 (step @p757 :rule trans :premises (@p756 @p235)) % 0.43/0.74 (step @p758 :rule refl :args (tptp.upairsetIR)) % 0.43/0.74 (step @p759 :rule cong :premises (@p758 @p757) :args (@t303)) % 0.43/0.74 (step @p760 :rule trans :premises (@p759 @p234)) % 0.43/0.74 (step @p761 :rule refl :args (tptp.upairsetIL)) % 0.43/0.74 (step @p762 :rule cong :premises (@p761 @p760) :args (@t304)) % 0.43/0.74 (step @p763 :rule trans :premises (@p762 @p233)) % 0.43/0.74 (step @p764 :rule refl :args (tptp.upairsetE)) % 0.43/0.74 (step @p765 :rule cong :premises (@p764 @p763) :args (@t305)) % 0.43/0.74 (step @p766 :rule trans :premises (@p765 @p232)) % 0.43/0.74 (step @p767 :rule refl :args (tptp.singletonsswitch)) % 0.43/0.74 (step @p768 :rule cong :premises (@p767 @p766) :args (@t306)) % 0.43/0.74 (step @p769 :rule trans :premises (@p768 @p231)) % 0.43/0.74 (step @p770 :rule refl :args (tptp.eqinunit)) % 0.43/0.74 (step @p771 :rule cong :premises (@p770 @p769) :args (@t307)) % 0.43/0.74 (step @p772 :rule trans :premises (@p771 @p230)) % 0.43/0.74 (step @p773 :rule refl :args (tptp.notinsingleton)) % 0.43/0.74 (step @p774 :rule cong :premises (@p773 @p772) :args (@t308)) % 0.43/0.74 (step @p775 :rule trans :premises (@p774 @p229)) % 0.43/0.74 (step @p776 :rule refl :args (tptp.uniqinunit)) % 0.43/0.74 (step @p777 :rule cong :premises (@p776 @p775) :args (@t309)) % 0.43/0.74 (step @p778 :rule trans :premises (@p777 @p228)) % 0.43/0.74 (step @p779 :rule refl :args (tptp.nonemptyImpWitness)) % 0.43/0.74 (step @p780 :rule cong :premises (@p779 @p778) :args (@t310)) % 0.43/0.74 (step @p781 :rule trans :premises (@p780 @p227)) % 0.43/0.74 (step @p782 :rule refl :args (tptp.exuE2)) % 0.43/0.74 (step @p783 :rule cong :premises (@p782 @p781) :args (@t311)) % 0.43/0.74 (step @p784 :rule trans :premises (@p783 @p226)) % 0.43/0.74 (step @p785 :rule refl :args (tptp.subPowSU)) % 0.43/0.74 (step @p786 :rule cong :premises (@p785 @p784) :args (@t312)) % 0.43/0.74 (step @p787 :rule trans :premises (@p786 @p225)) % 0.43/0.74 (step @p788 :rule refl :args (tptp.setunionE)) % 0.43/0.74 (step @p789 :rule cong :premises (@p788 @p787) :args (@t313)) % 0.43/0.74 (step @p790 :rule trans :premises (@p789 @p224)) % 0.43/0.74 (step @p791 :rule refl :args (tptp.setunionI)) % 0.43/0.74 (step @p792 :rule cong :premises (@p791 @p790) :args (@t314)) % 0.43/0.74 (step @p793 :rule trans :premises (@p792 @p223)) % 0.43/0.74 (step @p794 :rule refl :args (tptp.powersetE)) % 0.43/0.74 (step @p795 :rule cong :premises (@p794 @p793) :args (@t315)) % 0.43/0.74 (step @p796 :rule trans :premises (@p795 @p222)) % 0.43/0.74 (step @p797 :rule refl :args (tptp.emptyInPowerset)) % 0.43/0.74 (step @p798 :rule cong :premises (@p797 @p796) :args (@t316)) % 0.43/0.74 (step @p799 :rule trans :premises (@p798 @p221)) % 0.43/0.74 (step @p800 :rule refl :args (tptp.emptyinPowerset)) % 0.43/0.74 (step @p801 :rule cong :premises (@p800 @p799) :args (@t317)) % 0.43/0.74 (step @p802 :rule trans :premises (@p801 @p220)) % 0.43/0.74 (step @p803 :rule refl :args (tptp.powersetI)) % 0.43/0.74 (step @p804 :rule cong :premises (@p803 @p802) :args (@t318)) % 0.43/0.74 (step @p805 :rule trans :premises (@p804 @p219)) % 0.43/0.74 (step @p806 :rule refl :args (tptp.setoftrueEq)) % 0.43/0.74 (step @p807 :rule cong :premises (@p806 @p805) :args (@t319)) % 0.43/0.74 (step @p808 :rule trans :premises (@p807 @p218)) % 0.43/0.74 (step @p809 :rule refl :args (tptp.setadjoinOr)) % 0.43/0.74 (step @p810 :rule cong :premises (@p809 @p808) :args (@t320)) % 0.43/0.74 (step @p811 :rule trans :premises (@p810 @p217)) % 0.43/0.74 (step @p812 :rule refl :args (tptp.setadjoinE)) % 0.43/0.74 (step @p813 :rule cong :premises (@p812 @p811) :args (@t321)) % 0.43/0.74 (step @p814 :rule trans :premises (@p813 @p216)) % 0.43/0.74 (step @p815 :rule refl :args (tptp.setadjoinIR)) % 0.43/0.74 (step @p816 :rule cong :premises (@p815 @p814) :args (@t322)) % 0.43/0.74 (step @p817 :rule trans :premises (@p816 @p215)) % 0.43/0.74 (step @p818 :rule refl :args (tptp.emptyinunitempty)) % 0.43/0.74 (step @p819 :rule cong :premises (@p818 @p817) :args (@t323)) % 0.43/0.74 (step @p820 :rule trans :premises (@p819 @p214)) % 0.43/0.74 (step @p821 :rule refl :args (tptp.setadjoinIL)) % 0.43/0.74 (step @p822 :rule cong :premises (@p821 @p820) :args (@t324)) % 0.43/0.74 (step @p823 :rule trans :premises (@p822 @p213)) % 0.43/0.74 (step @p824 :rule refl :args (tptp.nonemptyI1)) % 0.43/0.74 (step @p825 :rule cong :premises (@p824 @p823) :args (@t325)) % 0.43/0.74 (step @p826 :rule trans :premises (@p825 @p212)) % 0.43/0.74 (step @p827 :rule refl :args (tptp.nonemptyI)) % 0.43/0.74 (step @p828 :rule cong :premises (@p827 @p826) :args (@t326)) % 0.43/0.74 (step @p829 :rule trans :premises (@p828 @p211)) % 0.43/0.74 (step @p830 :rule refl :args (tptp.nonemptyE1)) % 0.43/0.74 (step @p831 :rule cong :premises (@p830 @p829) :args (@t327)) % 0.43/0.74 (step @p832 :rule trans :premises (@p831 @p210)) % 0.43/0.74 (step @p833 :rule refl :args (tptp.setbeta)) % 0.43/0.74 (step @p834 :rule cong :premises (@p833 @p832) :args (@t328)) % 0.43/0.74 (step @p835 :rule trans :premises (@p834 @p209)) % 0.43/0.74 (step @p836 :rule refl :args (tptp.noeltsimpempty)) % 0.43/0.74 (step @p837 :rule cong :premises (@p836 @p835) :args (@t329)) % 0.43/0.74 (step @p838 :rule trans :premises (@p837 @p208)) % 0.43/0.74 (step @p839 :rule refl :args (tptp.emptyI)) % 0.43/0.74 (step @p840 :rule cong :premises (@p839 @p838) :args (@t330)) % 0.43/0.74 (step @p841 :rule trans :premises (@p840 @p207)) % 0.43/0.74 (step @p842 :rule refl :args (tptp.setext)) % 0.43/0.74 (step @p843 :rule cong :premises (@p842 @p841) :args (@t331)) % 0.43/0.74 (step @p844 :rule trans :premises (@p843 @p206)) % 0.43/0.74 (step @p845 :rule refl :args (tptp.exuE3e)) % 0.43/0.74 (step @p846 :rule cong :premises (@p845 @p844) :args (@t332)) % 0.43/0.74 (step @p847 :rule trans :premises (@p846 @p205)) % 0.43/0.74 (step @p848 :rule refl :args (tptp.notinemptyset)) % 0.43/0.74 (step @p849 :rule cong :premises (@p848 @p847) :args (@t333)) % 0.43/0.74 (step @p850 :rule trans :premises (@p849 @p204)) % 0.43/0.74 (step @p851 :rule refl :args (tptp.emptysetimpfalse)) % 0.43/0.74 (step @p852 :rule cong :premises (@p851 @p850) :args (@t334)) % 0.43/0.74 (step @p853 :rule trans :premises (@p852 @p203)) % 0.43/0.74 (step @p854 :rule refl :args (tptp.emptysetE)) % 0.43/0.74 (step @p855 :rule cong :premises (@p854 @p853) :args (@t335)) % 0.43/0.74 (step @p856 :rule trans :premises (@p855 @p202)) % 0.43/0.74 (step @p857 :rule refl :args (tptp.prop2setE)) % 0.43/0.74 (step @p858 :rule cong :premises (@p857 @p856) :args (@t336)) % 0.43/0.74 (step @p859 :rule trans :premises (@p858 @p201)) % 0.43/0.74 (step @p860 :rule refl :args (tptp.exuE1)) % 0.43/0.74 (step @p861 :rule cong :premises (@p860 @p859) :args (@t337)) % 0.43/0.74 (step @p862 :rule trans :premises (@p861 @p200)) % 0.43/0.74 (step @p863 :rule refl :args (tptp.dsetconstrER)) % 0.43/0.74 (step @p864 :rule cong :premises (@p863 @p862) :args (@t338)) % 0.43/0.74 (step @p865 :rule trans :premises (@p864 @p199)) % 0.43/0.74 (step @p866 :rule refl :args (tptp.dsetconstrEL)) % 0.43/0.74 (step @p867 :rule cong :premises (@p866 @p865) :args (@t339)) % 0.43/0.74 (step @p868 :rule trans :premises (@p867 @p198)) % 0.43/0.74 (step @p869 :rule refl :args (tptp.dsetconstrI)) % 0.43/0.74 (step @p870 :rule cong :premises (@p869 @p868) :args (@t340)) % 0.43/0.74 (step @p871 :rule trans :premises (@p870 @p197)) % 0.43/0.74 (step @p872 :rule refl :args (tptp.descrp)) % 0.43/0.74 (step @p873 :rule cong :premises (@p872 @p871) :args (@t341)) % 0.43/0.74 (step @p874 :rule trans :premises (@p873 @p196)) % 0.43/0.74 (step @p875 :rule refl :args (tptp.wellorderingAx)) % 0.43/0.74 (step @p876 :rule cong :premises (@p875 @p874) :args (@t342)) % 0.43/0.74 (step @p877 :rule trans :premises (@p876 @p195)) % 0.43/0.74 (step @p878 :rule refl :args (tptp.foundationAx)) % 0.43/0.74 (step @p879 :rule cong :premises (@p878 @p877) :args (@t343)) % 0.43/0.74 (step @p880 :rule trans :premises (@p879 @p194)) % 0.43/0.74 (step @p881 :rule refl :args (tptp.replAx)) % 0.43/0.74 (step @p882 :rule cong :premises (@p881 @p880) :args (@t344)) % 0.43/0.74 (step @p883 :rule trans :premises (@p882 @p193)) % 0.43/0.74 (step @p884 :rule refl :args (tptp.omegaIndAx)) % 0.43/0.74 (step @p885 :rule cong :premises (@p884 @p883) :args (@t345)) % 0.43/0.74 (step @p886 :rule trans :premises (@p885 @p192)) % 0.43/0.74 (step @p887 :rule refl :args (tptp.omegaSAx)) % 0.43/0.74 (step @p888 :rule cong :premises (@p887 @p886) :args (@t346)) % 0.43/0.74 (step @p889 :rule trans :premises (@p888 @p191)) % 0.43/0.74 (step @p890 :rule refl :args (tptp.omega0Ax)) % 0.43/0.74 (step @p891 :rule cong :premises (@p890 @p889) :args (@t347)) % 0.43/0.74 (step @p892 :rule trans :premises (@p891 @p190)) % 0.43/0.74 (step @p893 :rule refl :args (tptp.setunionAx)) % 0.43/0.74 (step @p894 :rule cong :premises (@p893 @p892) :args (@t348)) % 0.43/0.74 (step @p895 :rule trans :premises (@p894 @p189)) % 0.43/0.74 (step @p896 :rule refl :args (tptp.powersetAx)) % 0.43/0.74 (step @p897 :rule cong :premises (@p896 @p895) :args (@t349)) % 0.43/0.74 (step @p898 :rule trans :premises (@p897 @p188)) % 0.43/0.74 (step @p899 :rule refl :args (tptp.setadjoinAx)) % 0.43/0.74 (step @p900 :rule cong :premises (@p899 @p898) :args (@t350)) % 0.43/0.74 (step @p901 :rule trans :premises (@p900 @p187)) % 0.43/0.74 (step @p902 :rule refl :args (tptp.emptysetAx)) % 0.43/0.74 (step @p903 :rule cong :premises (@p902 @p901) :args (@t351)) % 0.43/0.74 (step @p904 :rule trans :premises (@p903 @p186)) % 0.43/0.74 (step @p905 :rule refl :args (tptp.setextAx)) % 0.43/0.74 (step @p906 :rule cong :premises (@p905 @p904) :args (@t352)) % 0.43/0.74 (step @p907 :rule trans :premises (@p906 @p185)) % 0.43/0.74 (step @p908 :rule cong :premises (@p907) :args (@t353)) % 0.43/0.74 (step @p909 :rule trans :premises (@p908 @p184)) % 0.43/0.74 (step @p910 false :rule eq_resolve :premises (@p178 @p909)) % 0.43/0.74 ) % 0.43/0.74 % SZS output end Proof % 0.43/0.74 % cvc5 exiting %------------------------------------------------------------------------------