%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU667^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:52:39 AM UTC 2026 % Result : Theorem 0.42s 0.76s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU667^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:45:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.39/0.58 %----Proving TH0 % 0.42/0.76 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.42/0.76 % SZS status Theorem % 0.42/0.76 % SZS output start Proof % 0.42/0.76 ( % 0.42/0.76 (declare-sort $$unsorted 0) % 0.42/0.76 (declare-const tptp.emptyset $$unsorted) % 0.42/0.76 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.42/0.76 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.dpsetconstrI Bool) % 0.42/0.76 (declare-const tptp.cartprodpairsurjEq Bool) % 0.42/0.76 (declare-const tptp.cartprodsndpairEq Bool) % 0.42/0.76 (declare-const tptp.cartprodfstpairEq Bool) % 0.42/0.76 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.setukpairinjR Bool) % 0.42/0.76 (declare-const tptp.setukpairinjR2 Bool) % 0.42/0.76 (declare-const tptp.upairequniteq Bool) % 0.42/0.76 (declare-const tptp.setukpairinjR11 Bool) % 0.42/0.76 (declare-const tptp.setukpairinjL Bool) % 0.42/0.76 (declare-const tptp.kfstpairEq Bool) % 0.42/0.76 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.kfstsingleton Bool) % 0.42/0.76 (declare-const tptp.setukpairinjL1 Bool) % 0.42/0.76 (declare-const tptp.setunionsingleton Bool) % 0.42/0.76 (declare-const tptp.kpairsurjEq Bool) % 0.42/0.76 (declare-const tptp.setunionE2 Bool) % 0.42/0.76 (declare-const tptp.ksndpairEq Bool) % 0.42/0.76 (declare-const tptp.cartprodmempair Bool) % 0.42/0.76 (declare-const tptp.ubforcartprodlem3 Bool) % 0.42/0.76 (declare-const tptp.ubforcartprodlem2 Bool) % 0.42/0.76 (declare-const tptp.upairsubunion Bool) % 0.42/0.76 (declare-const tptp.singletoninpowunion Bool) % 0.42/0.76 (declare-const tptp.singletoninpowerset Bool) % 0.42/0.76 (declare-const tptp.setukpairIR Bool) % 0.42/0.76 (declare-const tptp.secondinupair Bool) % 0.42/0.76 (declare-const tptp.symdiffIneg2 Bool) % 0.42/0.76 (declare-const tptp.ex1I Bool) % 0.42/0.76 (declare-const tptp.symdiffI2 Bool) % 0.42/0.76 (declare-const tptp.symdiffI1 Bool) % 0.42/0.76 (declare-const tptp.setminusIRneg Bool) % 0.42/0.76 (declare-const tptp.setminusILneg Bool) % 0.42/0.76 (declare-const tptp.setminusERneg Bool) % 0.42/0.76 (declare-const tptp.setminusI Bool) % 0.42/0.76 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.setukpairinjL2 Bool) % 0.42/0.76 (declare-const tptp.emptyE1 Bool) % 0.42/0.76 (declare-const tptp.upairset2E Bool) % 0.42/0.76 (declare-const tptp.inPowerset Bool) % 0.42/0.76 (declare-const tptp.upairsetIR Bool) % 0.42/0.76 (declare-const tptp.setunion__Cong Bool) % 0.42/0.76 (declare-const tptp.cartprodfstin Bool) % 0.42/0.76 (declare-const tptp.powersetE1 Bool) % 0.42/0.76 (declare-const tptp.singletonsswitch Bool) % 0.42/0.76 (declare-const tptp.subset2powerset Bool) % 0.42/0.76 (declare-const tptp.notinsingleton Bool) % 0.42/0.76 (declare-const tptp.subPowSU Bool) % 0.42/0.76 (declare-const tptp.binintersectSubset5 Bool) % 0.42/0.76 (declare-const tptp.exuE1 Bool) % 0.42/0.76 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.setunionI Bool) % 0.42/0.76 (declare-const tptp.ksndsingleton Bool) % 0.42/0.76 (declare-const tptp.notdexE Bool) % 0.42/0.76 (declare-const tptp.powersetE Bool) % 0.42/0.76 (declare-const tptp.omegaSAx Bool) % 0.42/0.76 (declare-const tptp.setadjoinE Bool) % 0.42/0.76 (declare-const tptp.emptyinunitempty Bool) % 0.42/0.76 (declare-const tptp.setminusEL Bool) % 0.42/0.76 (declare-const tptp.descr__Cong Bool) % 0.42/0.76 (declare-const tptp.nonemptyI1 Bool) % 0.42/0.76 (declare-const tptp.emptysetAx Bool) % 0.42/0.76 (declare-const tptp.singletonprop Bool) % 0.42/0.76 (declare-const tptp.nonemptyI Bool) % 0.42/0.76 (declare-const tptp.upairsetIL Bool) % 0.42/0.76 (declare-const tptp.powersetI1 Bool) % 0.42/0.76 (declare-const tptp.kpairp Bool) % 0.42/0.76 (declare-const tptp.eqinunit Bool) % 0.42/0.76 (declare-const tptp.noeltsimpempty Bool) % 0.42/0.76 (declare-const tptp.upairsetE Bool) % 0.42/0.76 (declare-const tptp.dpsetconstrSub Bool) % 0.42/0.76 (declare-const tptp.replAx Bool) % 0.42/0.76 (declare-const tptp.powersetI Bool) % 0.42/0.76 (declare-const tptp.quantDeMorgan4 Bool) % 0.42/0.76 (declare-const tptp.ex1E1 Bool) % 0.42/0.76 (declare-const tptp.setunionE Bool) % 0.42/0.76 (declare-const tptp.omegaIndAx Bool) % 0.42/0.76 (declare-const tptp.setunionAx Bool) % 0.42/0.76 (declare-const tptp.setoftrueEq Bool) % 0.42/0.76 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.setukpairinjR12 Bool) % 0.42/0.76 (declare-const tptp.upairset2IR Bool) % 0.42/0.76 (declare-const tptp.setminusELneg Bool) % 0.42/0.76 (declare-const tptp.powersetAx Bool) % 0.42/0.76 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.emptyI Bool) % 0.42/0.76 (declare-const tptp.subsetemptysetimpeq Bool) % 0.42/0.76 (declare-const tptp.setminusER Bool) % 0.42/0.76 (declare-const tptp.setadjoinAx Bool) % 0.42/0.76 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.omega $$unsorted) % 0.42/0.76 (declare-const tptp.emptyInPowerset Bool) % 0.42/0.76 (declare-const tptp.eqimpsubset1 Bool) % 0.42/0.76 (declare-const tptp.cartprodpairin Bool) % 0.42/0.76 (declare-const tptp.binunionE Bool) % 0.42/0.76 (declare-const tptp.dsetconstrER Bool) % 0.42/0.76 (declare-const tptp.notdallE Bool) % 0.42/0.76 (declare-const tptp.cartprodmempair1 Bool) % 0.42/0.76 (declare-const tptp.binunionRsub Bool) % 0.42/0.76 (declare-const tptp.cartprodpairmemEL Bool) % 0.42/0.76 (declare-const tptp.emptysetimpfalse Bool) % 0.42/0.76 (declare-const tptp.foundationAx Bool) % 0.42/0.76 (declare-const tptp.exuE2 Bool) % 0.42/0.76 (declare-const tptp.notinemptyset Bool) % 0.42/0.76 (declare-const tptp.singletonsuniq Bool) % 0.42/0.76 (declare-const tptp.subsetRefl Bool) % 0.42/0.76 (declare-const tptp.uniqinunit Bool) % 0.42/0.76 (declare-const tptp.cartprodpairmemER Bool) % 0.42/0.76 (declare-const tptp.exuE3u Bool) % 0.42/0.76 (declare-const tptp.setukpairIL Bool) % 0.42/0.76 (declare-const tptp.subsetTrans Bool) % 0.42/0.76 (declare-const tptp.setadjoinOr Bool) % 0.42/0.76 (declare-const tptp.wellorderingAx Bool) % 0.42/0.76 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.42/0.76 (declare-const tptp.vacuousDall Bool) % 0.42/0.76 (declare-const tptp.upairinpowunion Bool) % 0.42/0.76 (declare-const tptp.sepInPowerset Bool) % 0.42/0.76 (declare-const tptp.iskpair (-> $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.nonemptyImpWitness Bool) % 0.42/0.76 (declare-const tptp.binintersectLsub Bool) % 0.42/0.76 (declare-const tptp.dsetconstrI Bool) % 0.42/0.76 (declare-const tptp.setminusSubset1 Bool) % 0.42/0.76 (declare-const tptp.emptyinPowerset Bool) % 0.42/0.76 (declare-const tptp.prop2setI Bool) % 0.42/0.76 (declare-const tptp.dsetconstrEL Bool) % 0.42/0.76 (declare-const tptp.prop2set2propI Bool) % 0.42/0.76 (declare-const tptp.binunionLsub Bool) % 0.42/0.76 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.42/0.76 (declare-const tptp.exuI2 Bool) % 0.42/0.76 (declare-const tptp.prop2setE Bool) % 0.42/0.76 (declare-const tptp.exuEu Bool) % 0.42/0.76 (declare-const tptp.setadjoinIL Bool) % 0.42/0.76 (declare-const tptp.omega__Cong Bool) % 0.42/0.76 (declare-const tptp.cartprodsndin Bool) % 0.42/0.76 (declare-const tptp.emptysetE Bool) % 0.42/0.76 (declare-const tptp.symdiffIneg1 Bool) % 0.42/0.76 (declare-const tptp.notequalI1 Bool) % 0.42/0.76 (declare-const tptp.ubforcartprodlem1 Bool) % 0.42/0.76 (declare-const tptp.quantDeMorgan1 Bool) % 0.42/0.76 (declare-const tptp.setminusSubset2 Bool) % 0.42/0.76 (declare-const tptp.setadjoinIR Bool) % 0.42/0.76 (declare-const tptp.dsetconstr__Cong Bool) % 0.42/0.76 (declare-const tptp.sepSubset Bool) % 0.42/0.76 (declare-const tptp.quantDeMorgan2 Bool) % 0.42/0.76 (declare-const tptp.subsetI1 Bool) % 0.42/0.76 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.subsetE Bool) % 0.42/0.76 (declare-const tptp.exuI3 Bool) % 0.42/0.76 (declare-const tptp.subsetE2 Bool) % 0.42/0.76 (declare-const tptp.inCongP Bool) % 0.42/0.76 (declare-const tptp.setunionsingleton1 Bool) % 0.42/0.76 (declare-const tptp.in__Cong Bool) % 0.42/0.76 (declare-const tptp.cartprodmempaircEq Bool) % 0.42/0.76 (declare-const tptp.exu__Cong Bool) % 0.42/0.76 (declare-const tptp.setunionsingleton2 Bool) % 0.42/0.76 (declare-const tptp.exuE3e Bool) % 0.42/0.76 (declare-const tptp.binintersectSubset3 Bool) % 0.42/0.76 (declare-const tptp.setadjoin__Cong Bool) % 0.42/0.76 (declare-const tptp.emptyset__Cong Bool) % 0.42/0.76 (declare-const tptp.binintersectRsub Bool) % 0.42/0.76 (declare-const tptp.nonemptyE1 Bool) % 0.42/0.76 (declare-const tptp.setextAx Bool) % 0.42/0.76 (declare-const tptp.powerset__Cong Bool) % 0.42/0.76 (declare-const tptp.bs114d Bool) % 0.42/0.76 (declare-const tptp.setminusLsub Bool) % 0.42/0.76 (declare-const tptp.eqimpsubset2 Bool) % 0.42/0.76 (declare-const tptp.symdiffE Bool) % 0.42/0.76 (declare-const tptp.omega0Ax Bool) % 0.42/0.76 (declare-const tptp.subsetI2 Bool) % 0.42/0.76 (declare-const tptp.emptysetsubset Bool) % 0.42/0.76 (declare-const tptp.notsubsetI Bool) % 0.42/0.76 (declare-const tptp.ex1I2 Bool) % 0.42/0.76 (declare-const tptp.notequalI2 Bool) % 0.42/0.76 (declare-const tptp.setadjoinSub Bool) % 0.42/0.76 (declare-const tptp.kpairiskpair Bool) % 0.42/0.76 (declare-const tptp.setadjoinSub2 Bool) % 0.42/0.76 (declare-const tptp.disjointsetsI1 Bool) % 0.42/0.76 (declare-const tptp.theprop Bool) % 0.42/0.76 (declare-const tptp.singletonsubset Bool) % 0.42/0.76 (declare-const tptp.setextsub Bool) % 0.42/0.76 (declare-const tptp.setbeta Bool) % 0.42/0.76 (declare-const tptp.binintersectSubset4 Bool) % 0.42/0.76 (declare-const tptp.powersetsubset Bool) % 0.42/0.76 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.binunionIL Bool) % 0.42/0.76 (declare-const tptp.binunionIR Bool) % 0.42/0.76 (declare-const tptp.setukpairinjR1 Bool) % 0.42/0.76 (declare-const tptp.descrp Bool) % 0.42/0.76 (declare-const tptp.quantDeMorgan3 Bool) % 0.42/0.76 (declare-const tptp.binunionEcases Bool) % 0.42/0.76 (declare-const tptp.exuI1 Bool) % 0.42/0.76 (declare-const tptp.binintersectI Bool) % 0.42/0.76 (declare-const tptp.binintersectEL Bool) % 0.42/0.76 (declare-const tptp.binintersectSubset2 Bool) % 0.42/0.76 (declare-const tptp.setext Bool) % 0.42/0.76 (declare-const tptp.binintersectER Bool) % 0.42/0.76 (declare-const tptp.binintersectSubset1 Bool) % 0.42/0.76 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.42/0.76 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.42/0.76 (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)))))))) % 0.42/0.76 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 0.42/0.76 (define tptp.breln () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (let ((_let_3 (@var "C" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (_ (_ tptp.subset _let_3) (_ (_ tptp.cartprod _let_2) _let_1))))))) % 0.42/0.76 (define tptp.dpsetconstr () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xu" $$unsorted))) (let ((_let_4 (@var "Xphi" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (@var "B" $$unsorted))) (let ((_let_6 (@var "A" $$unsorted))) (lambda (@list _let_6 _let_5 _let_4) (_ (_ tptp.dsetconstr (_ (_ tptp.cartprod _let_6) _let_5)) (lambda (@list _let_3) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_6) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_5) (_ (_ _let_4 _let_2) _let_1) (= _let_3 (_ (_ tptp.kpair _let_2) _let_1)))))))))))))))) % 0.42/0.76 (define @t1 () (@var "B" $$unsorted)) % 0.42/0.76 (define @t2 () (@var "A" $$unsorted)) % 0.42/0.76 (define @t3 () (= @t2 @t1)) % 0.42/0.76 (define @t4 () (@var "Xx" $$unsorted)) % 0.42/0.76 (define @t5 () (_ tptp.in @t4)) % 0.42/0.76 (define @t6 () (_ @t5 @t1)) % 0.42/0.76 (define @t7 () (_ @t5 @t2)) % 0.42/0.76 (define @t8 () (@list @t4)) % 0.42/0.76 (define @t9 () (@list @t2 @t1)) % 0.42/0.76 (define @t10 () (_ @t5 tptp.emptyset)) % 0.42/0.76 (define @t11 () (forall @t8 (not @t10))) % 0.42/0.76 (define @t12 () (@var "Xy" $$unsorted)) % 0.42/0.76 (define @t13 () (_ tptp.in @t12)) % 0.42/0.76 (define @t14 () (_ @t13 @t2)) % 0.42/0.76 (define @t15 () (= @t12 @t4)) % 0.42/0.76 (define @t16 () (or @t15 @t14)) % 0.42/0.76 (define @t17 () (_ tptp.setadjoin @t4)) % 0.42/0.76 (define @t18 () (_ @t17 @t2)) % 0.42/0.76 (define @t19 () (_ @t13 @t18)) % 0.42/0.76 (define @t20 () (@list @t4 @t2 @t12)) % 0.42/0.76 (define @t21 () (=> @t6 @t7)) % 0.42/0.76 (define @t22 () (forall @t8 @t21)) % 0.42/0.76 (define @t23 () (_ tptp.powerset @t2)) % 0.42/0.76 (define @t24 () (_ tptp.in @t1)) % 0.42/0.76 (define @t25 () (_ @t24 @t23)) % 0.42/0.76 (define @t26 () (_ @t24 @t2)) % 0.42/0.76 (define @t27 () (@list @t1)) % 0.42/0.76 (define @t28 () (_ tptp.setunion @t2)) % 0.42/0.76 (define @t29 () (_ @t5 @t28)) % 0.42/0.76 (define @t30 () (@list @t2 @t4)) % 0.42/0.76 (define @t31 () (_ tptp.in tptp.emptyset)) % 0.42/0.76 (define @t32 () (_ tptp.in (_ @t17 @t4))) % 0.42/0.76 (define @t33 () (_ @t5 tptp.omega)) % 0.42/0.76 (define @t34 () (@list @t2)) % 0.42/0.76 (define @t35 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.42/0.76 (define @t36 () (@list @t12)) % 0.42/0.76 (define @t37 () (_ @t35 @t4)) % 0.42/0.76 (define @t38 () (_ @t37 @t12)) % 0.42/0.76 (define @t39 () (exists @t8 @t7)) % 0.42/0.76 (define @t40 () (@var "E" $$unsorted)) % 0.42/0.76 (define @t41 () (@var "D" $$unsorted)) % 0.42/0.76 (define @t42 () (_ @t13 @t41)) % 0.42/0.76 (define @t43 () (@var "C" $$unsorted)) % 0.42/0.76 (define @t44 () (_ @t13 @t43)) % 0.42/0.76 (define @t45 () (_ @t5 @t43)) % 0.42/0.76 (define @t46 () (_ (_ tptp.in @t41) @t1)) % 0.42/0.76 (define @t47 () (forall @t8 (=> @t45 @t7))) % 0.42/0.76 (define @t48 () (@list @t43)) % 0.42/0.76 (define @t49 () (_ @t5 @t41)) % 0.42/0.76 (define @t50 () (_ (_ tptp.in @t43) @t1)) % 0.42/0.76 (define @t51 () (= @t4 @t12)) % 0.42/0.76 (define @t52 () (@list @t4 @t12)) % 0.42/0.76 (define @t53 () (@var "Xphi" (-> $$unsorted Bool))) % 0.42/0.76 (define @t54 () (_ @t53 @t4)) % 0.42/0.76 (define @t55 () (lambda @t8 @t54)) % 0.42/0.76 (define @t56 () (_ tptp.descr @t55)) % 0.42/0.76 (define @t57 () (_ tptp.exu @t55)) % 0.42/0.76 (define @t58 () (@list @t53)) % 0.42/0.76 (define @t59 () (_ @t53 @t12)) % 0.42/0.76 (define @t60 () (lambda @t36 @t59)) % 0.42/0.76 (define @t61 () (_ tptp.dsetconstr @t2)) % 0.42/0.76 (define @t62 () (_ @t61 @t60)) % 0.42/0.76 (define @t63 () (_ @t5 @t62)) % 0.42/0.76 (define @t64 () (@list @t2 @t53 @t4)) % 0.42/0.76 (define @t65 () (=> @t59 @t51)) % 0.42/0.76 (define @t66 () (exists @t8 (and @t54 (forall @t36 @t65)))) % 0.42/0.76 (define @t67 () (@var "Xphi" Bool)) % 0.42/0.76 (define @t68 () (_ tptp.prop2set @t67)) % 0.42/0.76 (define @t69 () (@list @t67)) % 0.42/0.76 (define @t70 () (exists @t8 @t54)) % 0.42/0.76 (define @t71 () (=> @t7 @t6)) % 0.42/0.76 (define @t72 () (forall @t8 @t71)) % 0.42/0.76 (define @t73 () (= @t2 tptp.emptyset)) % 0.42/0.76 (define @t74 () (not @t7)) % 0.42/0.76 (define @t75 () (forall @t34 (=> (forall @t8 @t74) @t73))) % 0.42/0.76 (define @t76 () (_ tptp.nonempty @t2)) % 0.42/0.76 (define @t77 () (forall @t34 (_ @t31 @t23))) % 0.42/0.76 (define @t78 () (@list @t2 @t1 @t4)) % 0.42/0.76 (define @t79 () (@list @t2 @t4 @t1)) % 0.42/0.76 (define @t80 () (exists @t8 (forall @t36 (= @t59 @t15)))) % 0.42/0.76 (define @t81 () (_ tptp.setadjoin @t12)) % 0.42/0.76 (define @t82 () (_ @t81 tptp.emptyset)) % 0.42/0.76 (define @t83 () (_ @t5 @t82)) % 0.42/0.76 (define @t84 () (_ @t17 tptp.emptyset)) % 0.42/0.76 (define @t85 () (_ @t13 @t84)) % 0.42/0.76 (define @t86 () (@var "Xz" $$unsorted)) % 0.42/0.76 (define @t87 () (_ @t17 @t82)) % 0.42/0.76 (define @t88 () (@list @t4 @t12 @t86)) % 0.42/0.76 (define @t89 () (forall @t88 (=> (_ (_ tptp.in @t86) @t87) (or (= @t86 @t4) (= @t86 @t12))))) % 0.42/0.76 (define @t90 () (forall @t52 (_ @t13 @t87))) % 0.42/0.76 (define @t91 () (_ @t61 @t55)) % 0.42/0.76 (define @t92 () (exists @t8 (and @t7 @t54))) % 0.42/0.76 (define @t93 () (@list @t2 @t53)) % 0.42/0.76 (define @t94 () (not @t54)) % 0.42/0.76 (define @t95 () (exists @t8 (and @t7 @t94))) % 0.42/0.76 (define @t96 () (not (forall @t8 (=> @t7 @t54)))) % 0.42/0.76 (define @t97 () (forall @t93 (=> @t96 @t95))) % 0.42/0.76 (define @t98 () (not @t92)) % 0.42/0.76 (define @t99 () (forall @t8 (=> @t7 @t94))) % 0.42/0.76 (define @t100 () (forall @t93 (=> @t98 @t99))) % 0.42/0.76 (define @t101 () (=> @t54 @t65)) % 0.42/0.76 (define @t102 () (forall @t52 @t101)) % 0.42/0.76 (define @t103 () (_ @t13 @t1)) % 0.42/0.76 (define @t104 () (forall @t58 (=> @t57 @t102))) % 0.42/0.76 (define @t105 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.42/0.76 (define @t106 () (lambda @t8 (_ @t105 @t4))) % 0.42/0.76 (define @t107 () (_ tptp.exu @t106)) % 0.42/0.76 (define @t108 () (=> @t51 (= @t54 (_ @t105 @t12)))) % 0.42/0.76 (define @t109 () (forall @t52 @t108)) % 0.42/0.76 (define @t110 () (@list @t53 @t105)) % 0.42/0.76 (define @t111 () (@var "Xu" $$unsorted)) % 0.42/0.76 (define @t112 () (= @t86 @t111)) % 0.42/0.76 (define @t113 () (@list @t86 @t111)) % 0.42/0.76 (define @t114 () (_ tptp.powerset @t1)) % 0.42/0.76 (define @t115 () (_ tptp.subset @t2)) % 0.42/0.76 (define @t116 () (_ @t115 @t1)) % 0.42/0.76 (define @t117 () (forall @t9 (=> @t72 @t116))) % 0.42/0.76 (define @t118 () (_ tptp.subset @t1)) % 0.42/0.76 (define @t119 () (_ @t118 @t2)) % 0.42/0.76 (define @t120 () (not @t6)) % 0.42/0.76 (define @t121 () (=> @t120 @t74)) % 0.42/0.76 (define @t122 () (not @t116)) % 0.42/0.76 (define @t123 () (not @t3)) % 0.42/0.76 (define @t124 () (@list @t2 @t1 @t43)) % 0.42/0.76 (define @t125 () (_ tptp.in @t2)) % 0.42/0.76 (define @t126 () (_ (_ tptp.binunion @t2) @t1)) % 0.42/0.76 (define @t127 () (_ @t5 @t126)) % 0.42/0.76 (define @t128 () (=> @t6 @t67)) % 0.42/0.76 (define @t129 () (_ tptp.binintersect @t2)) % 0.42/0.76 (define @t130 () (_ @t129 @t1)) % 0.42/0.76 (define @t131 () (_ @t5 @t130)) % 0.42/0.76 (define @t132 () (_ tptp.subset @t43)) % 0.42/0.76 (define @t133 () (_ tptp.subset @t130)) % 0.42/0.76 (define @t134 () (= @t130 @t2)) % 0.42/0.76 (define @t135 () (= @t130 @t1)) % 0.42/0.76 (define @t136 () (_ (_ tptp.setminus @t2) @t1)) % 0.42/0.76 (define @t137 () (_ @t5 @t136)) % 0.42/0.76 (define @t138 () (= @t136 tptp.emptyset)) % 0.42/0.76 (define @t139 () (not @t137)) % 0.42/0.76 (define @t140 () (_ @t5 (_ (_ tptp.symdiff @t2) @t1))) % 0.42/0.76 (define @t141 () (not @t140)) % 0.42/0.76 (define @t142 () (_ tptp.setadjoin @t84)) % 0.42/0.76 (define @t143 () (_ @t142 (_ (_ tptp.setadjoin @t87) tptp.emptyset))) % 0.42/0.76 (define @t144 () (_ tptp.setunion @t143)) % 0.42/0.76 (define @t145 () (_ tptp.kpair @t4)) % 0.42/0.76 (define @t146 () (_ @t145 @t12)) % 0.42/0.76 (define @t147 () (_ tptp.in @t84)) % 0.42/0.76 (define @t148 () (_ tptp.powerset @t126)) % 0.42/0.76 (define @t149 () (_ tptp.powerset @t148)) % 0.42/0.76 (define @t150 () (_ tptp.in @t146)) % 0.42/0.76 (define @t151 () (_ (_ tptp.cartprod @t2) @t1)) % 0.42/0.76 (define @t152 () (_ @t150 @t151)) % 0.42/0.76 (define @t153 () (= @t111 @t146)) % 0.42/0.76 (define @t154 () (_ (_ tptp.in @t111) @t151)) % 0.42/0.76 (define @t155 () (@list @t2 @t1 @t111)) % 0.42/0.76 (define @t156 () (_ tptp.iskpair @t111)) % 0.42/0.76 (define @t157 () (@var "X" $$unsorted)) % 0.42/0.76 (define @t158 () (@list @t157)) % 0.42/0.76 (define @t159 () (_ tptp.setunion (_ (_ tptp.setadjoin @t2) tptp.emptyset))) % 0.42/0.76 (define @t160 () (_ tptp.singleton @t91)) % 0.42/0.76 (define @t161 () (forall @t8 (=> @t7 (forall @t36 (=> @t14 @t101))))) % 0.42/0.76 (define @t162 () (_ tptp.ex1 @t2)) % 0.42/0.76 (define @t163 () (_ @t162 @t55)) % 0.42/0.76 (define @t164 () (= @t4 @t86)) % 0.42/0.76 (define @t165 () (_ tptp.setadjoin @t86)) % 0.42/0.76 (define @t166 () (_ @t165 tptp.emptyset)) % 0.42/0.76 (define @t167 () (_ tptp.dsetconstr (_ tptp.setunion @t111))) % 0.42/0.76 (define @t168 () (@list @t111)) % 0.42/0.76 (define @t169 () (= (_ tptp.kfst @t146) @t4)) % 0.42/0.76 (define @t170 () (_ tptp.kfst @t111)) % 0.42/0.76 (define @t171 () (= @t143 (_ (_ tptp.setadjoin @t166) (_ (_ tptp.setadjoin (_ @t165 (_ (_ tptp.setadjoin @t111) tptp.emptyset))) tptp.emptyset)))) % 0.42/0.76 (define @t172 () (@list @t4 @t12 @t86 @t111)) % 0.42/0.76 (define @t173 () (= @t146 (_ (_ tptp.kpair @t86) @t111))) % 0.42/0.76 (define @t174 () (= @t12 @t111)) % 0.42/0.76 (define @t175 () (_ tptp.kpair @t170)) % 0.42/0.76 (define @t176 () (= (_ tptp.ksnd @t146) @t12)) % 0.42/0.76 (define @t177 () (_ tptp.ksnd @t111)) % 0.42/0.76 (define @t178 () (= (_ @t175 @t177) @t111)) % 0.42/0.76 (define @t179 () (@list @t2 @t1 @t4 @t12)) % 0.42/0.76 (define @t180 () (_ (_ tptp.dpsetconstr @t2) @t1)) % 0.42/0.76 (define @t181 () (lambda @t52 @t38)) % 0.42/0.76 (define @t182 () (_ @t180 @t181)) % 0.42/0.76 (define @t183 () (@list @t2 @t1 @t35)) % 0.42/0.76 (define @t184 () (forall @t183 (_ (_ tptp.subset @t182) @t151))) % 0.42/0.76 (define @t185 () (= tptp.dpsetconstrSub @t184)) % 0.42/0.76 (define @t186 () (forall @t183 (_ (_ (_ tptp.breln @t2) @t1) @t182))) % 0.42/0.76 (define @t187 () (=> tptp.dpsetconstrSub @t186)) % 0.42/0.76 (define @t188 () (=> tptp.dpsetconstrI @t187)) % 0.42/0.76 (define @t189 () (=> tptp.cartprodpairsurjEq @t188)) % 0.42/0.76 (define @t190 () (=> tptp.cartprodsndpairEq @t189)) % 0.42/0.76 (define @t191 () (=> tptp.cartprodfstpairEq @t190)) % 0.42/0.76 (define @t192 () (=> tptp.cartprodmempaircEq @t191)) % 0.42/0.76 (define @t193 () (=> tptp.cartprodpairmemER @t192)) % 0.42/0.76 (define @t194 () (=> tptp.cartprodpairmemEL @t193)) % 0.42/0.76 (define @t195 () (=> tptp.cartprodsndin @t194)) % 0.42/0.76 (define @t196 () (=> tptp.kpairsurjEq @t195)) % 0.42/0.76 (define @t197 () (=> tptp.ksndpairEq @t196)) % 0.42/0.76 (define @t198 () (=> tptp.ksndsingleton @t197)) % 0.42/0.76 (define @t199 () (=> tptp.setukpairinjR @t198)) % 0.42/0.76 (define @t200 () (=> tptp.setukpairinjR2 @t199)) % 0.42/0.76 (define @t201 () (=> tptp.upairequniteq @t200)) % 0.42/0.76 (define @t202 () (=> tptp.setukpairinjR1 @t201)) % 0.42/0.76 (define @t203 () (=> tptp.setukpairinjR12 @t202)) % 0.42/0.76 (define @t204 () (=> tptp.setukpairinjR11 @t203)) % 0.42/0.76 (define @t205 () (=> tptp.setukpairinjL @t204)) % 0.42/0.76 (define @t206 () (=> tptp.setukpairinjL2 @t205)) % 0.42/0.76 (define @t207 () (=> tptp.cartprodfstin @t206)) % 0.42/0.76 (define @t208 () (=> tptp.kfstpairEq @t207)) % 0.42/0.76 (define @t209 () (=> tptp.theprop @t208)) % 0.42/0.76 (define @t210 () (=> tptp.kfstsingleton @t209)) % 0.42/0.76 (define @t211 () (=> tptp.setukpairinjL1 @t210)) % 0.42/0.76 (define @t212 () (=> tptp.singletonsuniq @t211)) % 0.42/0.76 (define @t213 () (=> tptp.ex1I2 @t212)) % 0.42/0.76 (define @t214 () (=> tptp.ex1I @t213)) % 0.42/0.76 (define @t215 () (=> tptp.ex1E1 @t214)) % 0.42/0.76 (define @t216 () (=> tptp.singletonprop @t215)) % 0.42/0.76 (define @t217 () (=> tptp.setunionsingleton @t216)) % 0.42/0.76 (define @t218 () (=> tptp.setunionsingleton2 @t217)) % 0.42/0.76 (define @t219 () (=> tptp.setunionsingleton1 @t218)) % 0.42/0.76 (define @t220 () (=> tptp.setunionE2 @t219)) % 0.42/0.76 (define @t221 () (=> tptp.cartprodmempair @t220)) % 0.42/0.76 (define @t222 () (=> tptp.cartprodmempair1 @t221)) % 0.42/0.76 (define @t223 () (=> tptp.cartprodpairin @t222)) % 0.42/0.76 (define @t224 () (=> tptp.ubforcartprodlem3 @t223)) % 0.42/0.76 (define @t225 () (=> tptp.ubforcartprodlem2 @t224)) % 0.42/0.76 (define @t226 () (=> tptp.ubforcartprodlem1 @t225)) % 0.42/0.76 (define @t227 () (=> tptp.upairinpowunion @t226)) % 0.42/0.76 (define @t228 () (=> tptp.upairsubunion @t227)) % 0.42/0.76 (define @t229 () (=> tptp.upairset2E @t228)) % 0.42/0.76 (define @t230 () (=> tptp.singletoninpowunion @t229)) % 0.42/0.76 (define @t231 () (=> tptp.singletoninpowerset @t230)) % 0.42/0.76 (define @t232 () (=> tptp.singletonsubset @t231)) % 0.42/0.76 (define @t233 () (=> tptp.kpairp @t232)) % 0.42/0.76 (define @t234 () (=> tptp.kpairiskpair @t233)) % 0.42/0.76 (define @t235 () (=> tptp.setukpairIR @t234)) % 0.42/0.76 (define @t236 () (=> tptp.setukpairIL @t235)) % 0.42/0.76 (define @t237 () (=> tptp.secondinupair @t236)) % 0.42/0.76 (define @t238 () (=> tptp.symdiffIneg2 @t237)) % 0.42/0.76 (define @t239 () (=> tptp.symdiffIneg1 @t238)) % 0.42/0.76 (define @t240 () (=> tptp.symdiffI2 @t239)) % 0.42/0.76 (define @t241 () (=> tptp.symdiffI1 @t240)) % 0.42/0.76 (define @t242 () (=> tptp.symdiffE @t241)) % 0.42/0.76 (define @t243 () (=> tptp.setminusSubset1 @t242)) % 0.42/0.76 (define @t244 () (=> tptp.setminusLsub @t243)) % 0.42/0.76 (define @t245 () (=> tptp.setminusIRneg @t244)) % 0.42/0.76 (define @t246 () (=> tptp.setminusILneg @t245)) % 0.42/0.76 (define @t247 () (=> tptp.setminusELneg @t246)) % 0.42/0.76 (define @t248 () (=> tptp.setminusERneg @t247)) % 0.42/0.76 (define @t249 () (=> tptp.setminusSubset2 @t248)) % 0.42/0.76 (define @t250 () (=> tptp.setminusER @t249)) % 0.42/0.76 (define @t251 () (=> tptp.setminusEL @t250)) % 0.42/0.76 (define @t252 () (=> tptp.setminusI @t251)) % 0.42/0.76 (define @t253 () (=> tptp.bs114d @t252)) % 0.42/0.76 (define @t254 () (=> tptp.binintersectSubset1 @t253)) % 0.42/0.76 (define @t255 () (=> tptp.binintersectSubset4 @t254)) % 0.42/0.76 (define @t256 () (=> tptp.binintersectRsub @t255)) % 0.42/0.76 (define @t257 () (=> tptp.disjointsetsI1 @t256)) % 0.42/0.76 (define @t258 () (=> tptp.binintersectER @t257)) % 0.42/0.76 (define @t259 () (=> tptp.binintersectSubset3 @t258)) % 0.42/0.76 (define @t260 () (=> tptp.binintersectSubset2 @t259)) % 0.42/0.76 (define @t261 () (=> tptp.binintersectLsub @t260)) % 0.42/0.76 (define @t262 () (=> tptp.binintersectEL @t261)) % 0.42/0.76 (define @t263 () (=> tptp.binintersectSubset5 @t262)) % 0.42/0.76 (define @t264 () (=> tptp.binintersectI @t263)) % 0.42/0.76 (define @t265 () (=> tptp.binunionRsub @t264)) % 0.42/0.76 (define @t266 () (=> tptp.binunionLsub @t265)) % 0.42/0.76 (define @t267 () (=> tptp.binunionE @t266)) % 0.42/0.76 (define @t268 () (=> tptp.binunionEcases @t267)) % 0.42/0.76 (define @t269 () (=> tptp.binunionIR @t268)) % 0.42/0.76 (define @t270 () (=> tptp.upairset2IR @t269)) % 0.42/0.76 (define @t271 () (=> tptp.binunionIL @t270)) % 0.42/0.76 (define @t272 () (=> tptp.sepSubset @t271)) % 0.42/0.76 (define @t273 () (=> tptp.sepInPowerset @t272)) % 0.42/0.76 (define @t274 () (=> tptp.powersetsubset @t273)) % 0.42/0.76 (define @t275 () (=> tptp.inPowerset @t274)) % 0.42/0.76 (define @t276 () (=> tptp.powersetE1 @t275)) % 0.42/0.76 (define @t277 () (=> tptp.powersetI1 @t276)) % 0.42/0.76 (define @t278 () (=> tptp.subsetemptysetimpeq @t277)) % 0.42/0.76 (define @t279 () (=> tptp.setextsub @t278)) % 0.42/0.76 (define @t280 () (=> tptp.subset2powerset @t279)) % 0.42/0.76 (define @t281 () (=> tptp.setadjoinSub2 @t280)) % 0.42/0.76 (define @t282 () (=> tptp.setadjoinSub @t281)) % 0.42/0.76 (define @t283 () (=> tptp.subsetTrans @t282)) % 0.42/0.76 (define @t284 () (=> tptp.subsetRefl @t283)) % 0.42/0.76 (define @t285 () (=> tptp.notequalI2 @t284)) % 0.42/0.76 (define @t286 () (=> tptp.notequalI1 @t285)) % 0.42/0.76 (define @t287 () (=> tptp.notsubsetI @t286)) % 0.42/0.76 (define @t288 () (=> tptp.subsetE2 @t287)) % 0.42/0.76 (define @t289 () (=> tptp.subsetE @t288)) % 0.42/0.76 (define @t290 () (=> tptp.emptysetsubset @t289)) % 0.42/0.76 (define @t291 () (=> tptp.subsetI2 @t290)) % 0.42/0.76 (define @t292 () (=> tptp.eqimpsubset1 @t291)) % 0.42/0.76 (define @t293 () (=> tptp.eqimpsubset2 @t292)) % 0.42/0.76 (define @t294 () (=> tptp.subsetI1 @t293)) % 0.42/0.76 (define @t295 () (=> tptp.dsetconstr__Cong @t294)) % 0.42/0.76 (define @t296 () (=> tptp.descr__Cong @t295)) % 0.42/0.76 (define @t297 () (=> tptp.exuEu @t296)) % 0.42/0.76 (define @t298 () (=> tptp.omega__Cong @t297)) % 0.42/0.76 (define @t299 () (=> tptp.setunion__Cong @t298)) % 0.42/0.76 (define @t300 () (=> tptp.powerset__Cong @t299)) % 0.42/0.76 (define @t301 () (=> tptp.setadjoin__Cong @t300)) % 0.42/0.76 (define @t302 () (=> tptp.emptyset__Cong @t301)) % 0.42/0.76 (define @t303 () (=> tptp.exu__Cong @t302)) % 0.42/0.76 (define @t304 () (=> tptp.exuE3u @t303)) % 0.42/0.76 (define @t305 () (=> tptp.in__Cong @t304)) % 0.42/0.76 (define @t306 () (=> tptp.inCongP @t305)) % 0.42/0.76 (define @t307 () (=> tptp.exuI2 @t306)) % 0.42/0.76 (define @t308 () (=> tptp.exuI3 @t307)) % 0.42/0.76 (define @t309 () (=> tptp.exuI1 @t308)) % 0.42/0.76 (define @t310 () (=> tptp.notdallE @t309)) % 0.42/0.76 (define @t311 () (=> tptp.notdexE @t310)) % 0.42/0.76 (define @t312 () (=> tptp.prop2set2propI @t311)) % 0.42/0.76 (define @t313 () (=> tptp.prop2setI @t312)) % 0.42/0.76 (define @t314 () (=> tptp.quantDeMorgan4 @t313)) % 0.42/0.76 (define @t315 () (=> tptp.quantDeMorgan3 @t314)) % 0.42/0.76 (define @t316 () (=> tptp.quantDeMorgan2 @t315)) % 0.42/0.76 (define @t317 () (=> tptp.quantDeMorgan1 @t316)) % 0.42/0.76 (define @t318 () (=> tptp.vacuousDall @t317)) % 0.42/0.76 (define @t319 () (=> tptp.emptyE1 @t318)) % 0.42/0.76 (define @t320 () (=> tptp.upairsetIR @t319)) % 0.42/0.76 (define @t321 () (=> tptp.upairsetIL @t320)) % 0.42/0.76 (define @t322 () (=> tptp.upairsetE @t321)) % 0.42/0.76 (define @t323 () (=> tptp.singletonsswitch @t322)) % 0.42/0.76 (define @t324 () (=> tptp.eqinunit @t323)) % 0.42/0.76 (define @t325 () (=> tptp.notinsingleton @t324)) % 0.42/0.76 (define @t326 () (=> tptp.uniqinunit @t325)) % 0.42/0.76 (define @t327 () (=> tptp.nonemptyImpWitness @t326)) % 0.42/0.76 (define @t328 () (=> tptp.exuE2 @t327)) % 0.42/0.76 (define @t329 () (=> tptp.subPowSU @t328)) % 0.42/0.76 (define @t330 () (=> tptp.setunionE @t329)) % 0.42/0.76 (define @t331 () (=> tptp.setunionI @t330)) % 0.42/0.76 (define @t332 () (=> tptp.powersetE @t331)) % 0.42/0.76 (define @t333 () (=> tptp.emptyInPowerset @t332)) % 0.42/0.76 (define @t334 () (=> tptp.emptyinPowerset @t333)) % 0.42/0.76 (define @t335 () (=> tptp.powersetI @t334)) % 0.42/0.76 (define @t336 () (=> tptp.setoftrueEq @t335)) % 0.42/0.76 (define @t337 () (=> tptp.setadjoinOr @t336)) % 0.42/0.76 (define @t338 () (=> tptp.setadjoinE @t337)) % 0.42/0.76 (define @t339 () (=> tptp.setadjoinIR @t338)) % 0.42/0.76 (define @t340 () (=> tptp.emptyinunitempty @t339)) % 0.42/0.76 (define @t341 () (=> tptp.setadjoinIL @t340)) % 0.42/0.76 (define @t342 () (=> tptp.nonemptyI1 @t341)) % 0.42/0.76 (define @t343 () (=> tptp.nonemptyI @t342)) % 0.42/0.76 (define @t344 () (=> tptp.nonemptyE1 @t343)) % 0.42/0.76 (define @t345 () (=> tptp.setbeta @t344)) % 0.42/0.76 (define @t346 () (=> tptp.noeltsimpempty @t345)) % 0.42/0.76 (define @t347 () (=> tptp.emptyI @t346)) % 0.42/0.76 (define @t348 () (=> tptp.setext @t347)) % 0.42/0.76 (define @t349 () (=> tptp.exuE3e @t348)) % 0.42/0.76 (define @t350 () (=> tptp.notinemptyset @t349)) % 0.42/0.76 (define @t351 () (=> tptp.emptysetimpfalse @t350)) % 0.42/0.76 (define @t352 () (=> tptp.emptysetE @t351)) % 0.42/0.76 (define @t353 () (=> tptp.prop2setE @t352)) % 0.42/0.76 (define @t354 () (=> tptp.exuE1 @t353)) % 0.42/0.76 (define @t355 () (=> tptp.dsetconstrER @t354)) % 0.42/0.76 (define @t356 () (=> tptp.dsetconstrEL @t355)) % 0.42/0.76 (define @t357 () (=> tptp.dsetconstrI @t356)) % 0.42/0.76 (define @t358 () (=> tptp.descrp @t357)) % 0.42/0.76 (define @t359 () (=> tptp.wellorderingAx @t358)) % 0.42/0.76 (define @t360 () (=> tptp.foundationAx @t359)) % 0.42/0.76 (define @t361 () (=> tptp.replAx @t360)) % 0.42/0.76 (define @t362 () (=> tptp.omegaIndAx @t361)) % 0.42/0.76 (define @t363 () (=> tptp.omegaSAx @t362)) % 0.42/0.76 (define @t364 () (=> tptp.omega0Ax @t363)) % 0.42/0.76 (define @t365 () (=> tptp.setunionAx @t364)) % 0.42/0.76 (define @t366 () (=> tptp.powersetAx @t365)) % 0.42/0.76 (define @t367 () (=> tptp.setadjoinAx @t366)) % 0.42/0.76 (define @t368 () (=> tptp.emptysetAx @t367)) % 0.42/0.76 (define @t369 () (=> tptp.setextAx @t368)) % 0.42/0.76 (define @t370 () (not @t369)) % 0.42/0.76 (define @t371 () (lambda @t58 @t66)) % 0.42/0.76 (define @t372 () (lambda @t8 (not (= @t4 tptp.emptyset)))) % 0.42/0.76 (define @t373 () (lambda @t34 (exists @t8 (and @t7 (= @t2 @t84))))) % 0.42/0.76 (define @t374 () (lambda @t93 @t160)) % 0.42/0.76 (define @t375 () (_ @t132 @t151)) % 0.42/0.76 (define @t376 () (lambda @t124 @t375)) % 0.42/0.76 (define @t377 () (and @t103 @t38 @t153)) % 0.42/0.76 (define @t378 () (exists @t36 @t377)) % 0.42/0.76 (define @t379 () (and @t7 @t378)) % 0.42/0.76 (define @t380 () (exists @t8 @t379)) % 0.42/0.76 (define @t381 () (lambda @t168 @t380)) % 0.42/0.77 (define @t382 () (_ tptp.dsetconstr @t151)) % 0.42/0.77 (define @t383 () (lambda @t183 (_ @t382 @t381))) % 0.42/0.77 (define @t384 () (@var "BOUND_VARIABLE_8778" $$unsorted)) % 0.42/0.77 (define @t385 () (_ @t37 @t384)) % 0.42/0.77 (define @t386 () (not @t385)) % 0.42/0.77 (define @t387 () (@list @t4 @t384)) % 0.42/0.77 (define @t388 () (lambda @t168 (not (forall @t387 (or @t74 (not (_ (_ tptp.in @t384) @t1)) @t386 (not (= @t111 (_ @t145 @t384)))))))) % 0.42/0.77 (define @t389 () (_ @t382 @t388)) % 0.42/0.77 (define @t390 () (tptp.cartprod @t2 @t1)) % 0.42/0.77 (define @t391 () (tptp.kpair @t4 @t384)) % 0.42/0.77 (define @t392 () (= @t111 @t391)) % 0.42/0.77 (define @t393 () (not @t392)) % 0.42/0.77 (define @t394 () (_ @t35 @t4 @t384)) % 0.42/0.77 (define @t395 () (not @t394)) % 0.42/0.77 (define @t396 () (tptp.in @t384 @t1)) % 0.42/0.77 (define @t397 () (not @t396)) % 0.42/0.77 (define @t398 () (tptp.in @t4 @t2)) % 0.42/0.77 (define @t399 () (not @t398)) % 0.42/0.77 (define @t400 () (or @t399 @t397 @t395 @t393)) % 0.42/0.77 (define @t401 () (forall @t387 @t400)) % 0.42/0.77 (define @t402 () (not @t401)) % 0.42/0.77 (define @t403 () (lambda @t168 @t402)) % 0.42/0.77 (define @t404 () (tptp.dsetconstr @t390 @t403)) % 0.42/0.77 (define @t405 () (tptp.subset @t404 @t390)) % 0.42/0.77 (define @t406 () (_ @t382 @t403)) % 0.42/0.77 (define @t407 () (_ (_ tptp.subset @t406) @t151)) % 0.42/0.77 (define @t408 () (lambda @t48 @t375)) % 0.42/0.77 (define @t409 () (or @t399 @t397 @t386 @t393)) % 0.42/0.77 (define @t410 () (_ @t181 @t4 @t384)) % 0.42/0.77 (define @t411 () (not @t410)) % 0.42/0.77 (define @t412 () (or @t399 @t397 @t411 @t393)) % 0.42/0.77 (define @t413 () (forall @t387 @t412)) % 0.42/0.77 (define @t414 () (not @t413)) % 0.42/0.77 (define @t415 () (lambda @t168 @t414)) % 0.42/0.77 (define @t416 () (lambda (@list @t35) @t406)) % 0.42/0.77 (define @t417 () (lambda (@list @t1 @t35) @t406)) % 0.42/0.77 (define @t418 () (_ (lambda @t183 @t406) @t2)) % 0.42/0.77 (define @t419 () (lambda (@list @t1 @t43) @t375)) % 0.42/0.77 (define @t420 () (_ @t376 @t2)) % 0.42/0.77 (define @t421 () (_ (_ @t418 @t1) @t181)) % 0.42/0.77 (define @t422 () (forall @t183 (_ (_ @t420 @t1) @t421))) % 0.42/0.77 (define @t423 () (=> tptp.dpsetconstrSub @t422)) % 0.42/0.77 (define @t424 () (=> tptp.dpsetconstrI @t423)) % 0.42/0.77 (define @t425 () (=> tptp.cartprodpairsurjEq @t424)) % 0.42/0.77 (define @t426 () (=> tptp.cartprodsndpairEq @t425)) % 0.42/0.77 (define @t427 () (=> tptp.cartprodfstpairEq @t426)) % 0.42/0.77 (define @t428 () (=> tptp.cartprodmempaircEq @t427)) % 0.42/0.77 (define @t429 () (=> tptp.cartprodpairmemER @t428)) % 0.42/0.77 (define @t430 () (=> tptp.cartprodpairmemEL @t429)) % 0.42/0.77 (define @t431 () (=> tptp.cartprodsndin @t430)) % 0.42/0.77 (define @t432 () (=> tptp.kpairsurjEq @t431)) % 0.42/0.77 (define @t433 () (=> tptp.ksndpairEq @t432)) % 0.42/0.77 (define @t434 () (=> tptp.ksndsingleton @t433)) % 0.42/0.77 (define @t435 () (=> tptp.setukpairinjR @t434)) % 0.42/0.77 (define @t436 () (=> tptp.setukpairinjR2 @t435)) % 0.42/0.77 (define @t437 () (=> tptp.upairequniteq @t436)) % 0.42/0.77 (define @t438 () (=> tptp.setukpairinjR1 @t437)) % 0.42/0.77 (define @t439 () (=> tptp.setukpairinjR12 @t438)) % 0.42/0.77 (define @t440 () (=> tptp.setukpairinjR11 @t439)) % 0.42/0.77 (define @t441 () (=> tptp.setukpairinjL @t440)) % 0.42/0.77 (define @t442 () (=> tptp.setukpairinjL2 @t441)) % 0.42/0.77 (define @t443 () (=> tptp.cartprodfstin @t442)) % 0.42/0.77 (define @t444 () (=> tptp.kfstpairEq @t443)) % 0.42/0.77 (define @t445 () (=> tptp.theprop @t444)) % 0.42/0.77 (define @t446 () (=> tptp.kfstsingleton @t445)) % 0.42/0.77 (define @t447 () (=> tptp.setukpairinjL1 @t446)) % 0.42/0.77 (define @t448 () (=> tptp.singletonsuniq @t447)) % 0.42/0.77 (define @t449 () (=> tptp.ex1I2 @t448)) % 0.42/0.77 (define @t450 () (=> tptp.ex1I @t449)) % 0.42/0.77 (define @t451 () (=> tptp.ex1E1 @t450)) % 0.42/0.77 (define @t452 () (=> tptp.singletonprop @t451)) % 0.42/0.77 (define @t453 () (=> tptp.setunionsingleton @t452)) % 0.42/0.77 (define @t454 () (=> tptp.setunionsingleton2 @t453)) % 0.42/0.77 (define @t455 () (=> tptp.setunionsingleton1 @t454)) % 0.42/0.77 (define @t456 () (=> tptp.setunionE2 @t455)) % 0.42/0.77 (define @t457 () (=> tptp.cartprodmempair @t456)) % 0.42/0.77 (define @t458 () (=> tptp.cartprodmempair1 @t457)) % 0.42/0.77 (define @t459 () (=> tptp.cartprodpairin @t458)) % 0.42/0.77 (define @t460 () (=> tptp.ubforcartprodlem3 @t459)) % 0.42/0.77 (define @t461 () (=> tptp.ubforcartprodlem2 @t460)) % 0.42/0.77 (define @t462 () (=> tptp.ubforcartprodlem1 @t461)) % 0.42/0.77 (define @t463 () (=> tptp.upairinpowunion @t462)) % 0.42/0.77 (define @t464 () (=> tptp.upairsubunion @t463)) % 0.42/0.77 (define @t465 () (=> tptp.upairset2E @t464)) % 0.42/0.77 (define @t466 () (=> tptp.singletoninpowunion @t465)) % 0.42/0.77 (define @t467 () (=> tptp.singletoninpowerset @t466)) % 0.42/0.77 (define @t468 () (=> tptp.singletonsubset @t467)) % 0.42/0.77 (define @t469 () (=> tptp.kpairp @t468)) % 0.42/0.77 (define @t470 () (=> tptp.kpairiskpair @t469)) % 0.42/0.77 (define @t471 () (=> tptp.setukpairIR @t470)) % 0.42/0.77 (define @t472 () (=> tptp.setukpairIL @t471)) % 0.42/0.77 (define @t473 () (=> tptp.secondinupair @t472)) % 0.42/0.77 (define @t474 () (=> tptp.symdiffIneg2 @t473)) % 0.42/0.77 (define @t475 () (=> tptp.symdiffIneg1 @t474)) % 0.42/0.77 (define @t476 () (=> tptp.symdiffI2 @t475)) % 0.42/0.77 (define @t477 () (=> tptp.symdiffI1 @t476)) % 0.42/0.77 (define @t478 () (=> tptp.symdiffE @t477)) % 0.42/0.77 (define @t479 () (=> tptp.setminusSubset1 @t478)) % 0.42/0.77 (define @t480 () (=> tptp.setminusLsub @t479)) % 0.42/0.77 (define @t481 () (=> tptp.setminusIRneg @t480)) % 0.42/0.77 (define @t482 () (=> tptp.setminusILneg @t481)) % 0.42/0.77 (define @t483 () (=> tptp.setminusELneg @t482)) % 0.42/0.77 (define @t484 () (=> tptp.setminusERneg @t483)) % 0.42/0.77 (define @t485 () (=> tptp.setminusSubset2 @t484)) % 0.42/0.77 (define @t486 () (=> tptp.setminusER @t485)) % 0.42/0.77 (define @t487 () (=> tptp.setminusEL @t486)) % 0.42/0.77 (define @t488 () (=> tptp.setminusI @t487)) % 0.42/0.77 (define @t489 () (=> tptp.bs114d @t488)) % 0.42/0.77 (define @t490 () (=> tptp.binintersectSubset1 @t489)) % 0.42/0.77 (define @t491 () (=> tptp.binintersectSubset4 @t490)) % 0.42/0.77 (define @t492 () (=> tptp.binintersectRsub @t491)) % 0.42/0.77 (define @t493 () (=> tptp.disjointsetsI1 @t492)) % 0.42/0.77 (define @t494 () (=> tptp.binintersectER @t493)) % 0.42/0.77 (define @t495 () (=> tptp.binintersectSubset3 @t494)) % 0.42/0.77 (define @t496 () (=> tptp.binintersectSubset2 @t495)) % 0.42/0.77 (define @t497 () (=> tptp.binintersectLsub @t496)) % 0.42/0.77 (define @t498 () (=> tptp.binintersectEL @t497)) % 0.42/0.77 (define @t499 () (=> tptp.binintersectSubset5 @t498)) % 0.42/0.77 (define @t500 () (=> tptp.binintersectI @t499)) % 0.42/0.77 (define @t501 () (=> tptp.binunionRsub @t500)) % 0.42/0.77 (define @t502 () (=> tptp.binunionLsub @t501)) % 0.42/0.77 (define @t503 () (=> tptp.binunionE @t502)) % 0.42/0.77 (define @t504 () (=> tptp.binunionEcases @t503)) % 0.42/0.77 (define @t505 () (=> tptp.binunionIR @t504)) % 0.42/0.77 (define @t506 () (=> tptp.upairset2IR @t505)) % 0.42/0.77 (define @t507 () (=> tptp.binunionIL @t506)) % 0.42/0.77 (define @t508 () (=> tptp.sepSubset @t507)) % 0.42/0.77 (define @t509 () (=> tptp.sepInPowerset @t508)) % 0.42/0.77 (define @t510 () (=> tptp.powersetsubset @t509)) % 0.42/0.77 (define @t511 () (=> tptp.inPowerset @t510)) % 0.42/0.77 (define @t512 () (=> tptp.powersetE1 @t511)) % 0.42/0.77 (define @t513 () (=> tptp.powersetI1 @t512)) % 0.42/0.77 (define @t514 () (=> tptp.subsetemptysetimpeq @t513)) % 0.42/0.77 (define @t515 () (=> tptp.setextsub @t514)) % 0.42/0.77 (define @t516 () (=> tptp.subset2powerset @t515)) % 0.42/0.77 (define @t517 () (=> tptp.setadjoinSub2 @t516)) % 0.42/0.77 (define @t518 () (=> tptp.setadjoinSub @t517)) % 0.42/0.77 (define @t519 () (=> tptp.subsetTrans @t518)) % 0.42/0.77 (define @t520 () (=> tptp.subsetRefl @t519)) % 0.42/0.77 (define @t521 () (=> tptp.notequalI2 @t520)) % 0.42/0.77 (define @t522 () (=> tptp.notequalI1 @t521)) % 0.42/0.77 (define @t523 () (=> tptp.notsubsetI @t522)) % 0.42/0.77 (define @t524 () (=> tptp.subsetE2 @t523)) % 0.42/0.77 (define @t525 () (=> tptp.subsetE @t524)) % 0.42/0.77 (define @t526 () (=> tptp.emptysetsubset @t525)) % 0.42/0.77 (define @t527 () (=> tptp.subsetI2 @t526)) % 0.42/0.77 (define @t528 () (=> tptp.eqimpsubset1 @t527)) % 0.42/0.77 (define @t529 () (=> tptp.eqimpsubset2 @t528)) % 0.42/0.77 (define @t530 () (=> tptp.subsetI1 @t529)) % 0.42/0.77 (define @t531 () (=> tptp.dsetconstr__Cong @t530)) % 0.42/0.77 (define @t532 () (=> tptp.descr__Cong @t531)) % 0.42/0.77 (define @t533 () (=> tptp.exuEu @t532)) % 0.42/0.77 (define @t534 () (=> tptp.omega__Cong @t533)) % 0.42/0.77 (define @t535 () (=> tptp.setunion__Cong @t534)) % 0.42/0.77 (define @t536 () (=> tptp.powerset__Cong @t535)) % 0.42/0.77 (define @t537 () (=> tptp.setadjoin__Cong @t536)) % 0.42/0.77 (define @t538 () (=> tptp.emptyset__Cong @t537)) % 0.42/0.77 (define @t539 () (=> tptp.exu__Cong @t538)) % 0.42/0.77 (define @t540 () (=> tptp.exuE3u @t539)) % 0.42/0.77 (define @t541 () (=> tptp.in__Cong @t540)) % 0.42/0.77 (define @t542 () (=> tptp.inCongP @t541)) % 0.42/0.77 (define @t543 () (=> tptp.exuI2 @t542)) % 0.42/0.77 (define @t544 () (=> tptp.exuI3 @t543)) % 0.42/0.77 (define @t545 () (=> tptp.exuI1 @t544)) % 0.42/0.77 (define @t546 () (=> tptp.notdallE @t545)) % 0.42/0.77 (define @t547 () (=> tptp.notdexE @t546)) % 0.42/0.77 (define @t548 () (=> tptp.prop2set2propI @t547)) % 0.42/0.77 (define @t549 () (=> tptp.prop2setI @t548)) % 0.42/0.77 (define @t550 () (=> tptp.quantDeMorgan4 @t549)) % 0.42/0.77 (define @t551 () (=> tptp.quantDeMorgan3 @t550)) % 0.42/0.77 (define @t552 () (=> tptp.quantDeMorgan2 @t551)) % 0.42/0.77 (define @t553 () (=> tptp.quantDeMorgan1 @t552)) % 0.42/0.77 (define @t554 () (=> tptp.vacuousDall @t553)) % 0.42/0.77 (define @t555 () (=> tptp.emptyE1 @t554)) % 0.42/0.77 (define @t556 () (=> tptp.upairsetIR @t555)) % 0.42/0.77 (define @t557 () (=> tptp.upairsetIL @t556)) % 0.42/0.77 (define @t558 () (=> tptp.upairsetE @t557)) % 0.42/0.77 (define @t559 () (=> tptp.singletonsswitch @t558)) % 0.42/0.77 (define @t560 () (=> tptp.eqinunit @t559)) % 0.42/0.77 (define @t561 () (=> tptp.notinsingleton @t560)) % 0.42/0.77 (define @t562 () (=> tptp.uniqinunit @t561)) % 0.42/0.77 (define @t563 () (=> tptp.nonemptyImpWitness @t562)) % 0.42/0.77 (define @t564 () (=> tptp.exuE2 @t563)) % 0.42/0.77 (define @t565 () (=> tptp.subPowSU @t564)) % 0.42/0.77 (define @t566 () (=> tptp.setunionE @t565)) % 0.42/0.77 (define @t567 () (=> tptp.setunionI @t566)) % 0.42/0.77 (define @t568 () (=> tptp.powersetE @t567)) % 0.42/0.77 (define @t569 () (=> tptp.emptyInPowerset @t568)) % 0.42/0.77 (define @t570 () (=> tptp.emptyinPowerset @t569)) % 0.42/0.77 (define @t571 () (=> tptp.powersetI @t570)) % 0.42/0.77 (define @t572 () (=> tptp.setoftrueEq @t571)) % 0.42/0.77 (define @t573 () (=> tptp.setadjoinOr @t572)) % 0.42/0.77 (define @t574 () (=> tptp.setadjoinE @t573)) % 0.42/0.77 (define @t575 () (=> tptp.setadjoinIR @t574)) % 0.42/0.77 (define @t576 () (=> tptp.emptyinunitempty @t575)) % 0.42/0.77 (define @t577 () (=> tptp.setadjoinIL @t576)) % 0.42/0.77 (define @t578 () (=> tptp.nonemptyI1 @t577)) % 0.42/0.77 (define @t579 () (=> tptp.nonemptyI @t578)) % 0.42/0.77 (define @t580 () (=> tptp.nonemptyE1 @t579)) % 0.42/0.77 (define @t581 () (=> tptp.setbeta @t580)) % 0.42/0.77 (define @t582 () (=> tptp.noeltsimpempty @t581)) % 0.42/0.77 (define @t583 () (=> tptp.emptyI @t582)) % 0.42/0.77 (define @t584 () (=> tptp.setext @t583)) % 0.42/0.77 (define @t585 () (=> tptp.exuE3e @t584)) % 0.42/0.77 (define @t586 () (=> tptp.notinemptyset @t585)) % 0.42/0.77 (define @t587 () (=> tptp.emptysetimpfalse @t586)) % 0.42/0.77 (define @t588 () (=> tptp.emptysetE @t587)) % 0.42/0.77 (define @t589 () (=> tptp.prop2setE @t588)) % 0.42/0.77 (define @t590 () (=> tptp.exuE1 @t589)) % 0.42/0.77 (define @t591 () (=> tptp.dsetconstrER @t590)) % 0.42/0.77 (define @t592 () (=> tptp.dsetconstrEL @t591)) % 0.42/0.77 (define @t593 () (=> tptp.dsetconstrI @t592)) % 0.42/0.77 (define @t594 () (=> tptp.descrp @t593)) % 0.42/0.77 (define @t595 () (=> tptp.wellorderingAx @t594)) % 0.42/0.77 (define @t596 () (=> tptp.foundationAx @t595)) % 0.42/0.77 (define @t597 () (=> tptp.replAx @t596)) % 0.42/0.77 (define @t598 () (=> tptp.omegaIndAx @t597)) % 0.42/0.77 (define @t599 () (=> tptp.omegaSAx @t598)) % 0.42/0.77 (define @t600 () (=> tptp.omega0Ax @t599)) % 0.42/0.77 (define @t601 () (=> tptp.setunionAx @t600)) % 0.42/0.77 (define @t602 () (=> tptp.powersetAx @t601)) % 0.42/0.77 (define @t603 () (=> tptp.setadjoinAx @t602)) % 0.42/0.77 (define @t604 () (=> tptp.emptysetAx @t603)) % 0.42/0.77 (define @t605 () (=> tptp.setextAx @t604)) % 0.42/0.77 (define @t606 () (or @t397 @t395 @t393)) % 0.42/0.77 (define @t607 () (or @t399 @t606)) % 0.42/0.77 (define @t608 () (forall @t387 @t607)) % 0.42/0.77 (define @t609 () (@list @t384)) % 0.42/0.77 (define @t610 () (forall @t609 @t607)) % 0.42/0.77 (define @t611 () (forall @t609 @t606)) % 0.42/0.77 (define @t612 () (or @t399 @t611)) % 0.42/0.77 (define @t613 () (tptp.kpair @t4 @t12)) % 0.42/0.77 (define @t614 () (_ @t35 @t4 @t12)) % 0.42/0.77 (define @t615 () (tptp.in @t12 @t1)) % 0.42/0.77 (define @t616 () (forall @t36 (or (not @t615) (not @t614) (not (= @t111 @t613))))) % 0.42/0.77 (define @t617 () (or @t74 @t616)) % 0.42/0.77 (define @t618 () (not @t616)) % 0.42/0.77 (define @t619 () (and @t7 @t618)) % 0.42/0.77 (define @t620 () (forall @t8 (not @t619))) % 0.42/0.77 (define @t621 () (not @t620)) % 0.42/0.77 (define @t622 () (not @t153)) % 0.42/0.77 (define @t623 () (not @t38)) % 0.42/0.77 (define @t624 () (not @t103)) % 0.42/0.77 (define @t625 () (or @t624 @t623 @t622)) % 0.42/0.77 (define @t626 () (forall @t36 (not @t377))) % 0.42/0.77 (define @t627 () (not @t626)) % 0.42/0.77 (define @t628 () (forall @t183 @t405)) % 0.42/0.77 (define @t629 () (forall @t183 (_ (_ tptp.subset @t421) @t151))) % 0.42/0.77 (assume @p1 (= tptp.setextAx (forall @t9 (=> (forall @t8 (= @t7 @t6)) @t3)))) % 0.42/0.77 (assume @p2 (= tptp.emptysetAx @t11)) % 0.42/0.77 (assume @p3 (= tptp.setadjoinAx (forall @t20 (= @t19 @t16)))) % 0.42/0.77 (assume @p4 (= tptp.powersetAx (forall @t9 (= @t25 @t22)))) % 0.42/0.77 (assume @p5 (= tptp.setunionAx (forall @t30 (= @t29 (exists @t27 (and @t6 @t26)))))) % 0.42/0.77 (assume @p6 (= tptp.omega0Ax (_ @t31 tptp.omega))) % 0.42/0.77 (assume @p7 (= tptp.omegaSAx (forall @t8 (=> @t33 (_ @t32 tptp.omega))))) % 0.42/0.77 (assume @p8 (= tptp.omegaIndAx (forall @t34 (=> (and (_ @t31 @t2) (forall @t8 (=> (and @t33 @t7) (_ @t32 @t2)))) (forall @t8 (=> @t33 @t7)))))) % 0.42/0.77 (assume @p9 (= tptp.replAx (forall (@list @t35 @t2) (=> (forall @t8 (=> @t7 (_ tptp.exu (lambda @t36 @t38)))) (exists @t27 (forall @t8 (= @t6 (exists @t36 (and @t14 (_ (_ @t35 @t12) @t4)))))))))) % 0.42/0.77 (assume @p10 (= tptp.foundationAx (forall @t34 (=> @t39 (exists @t27 (and @t26 (not (exists @t8 (and @t6 @t7))))))))) % 0.42/0.77 (assume @p11 (= tptp.wellorderingAx (forall @t34 (exists @t27 (and (forall @t48 (=> @t50 @t47)) (forall @t52 (=> (and @t7 @t14) (=> (forall @t48 (=> @t50 (= @t45 @t44))) @t51))) (forall (@list @t43 @t41) (=> (and @t50 @t46) (or (forall @t8 (=> @t45 @t49)) (forall @t8 (=> @t49 @t45))))) (forall @t48 (=> (and @t47 (exists @t8 @t45)) (exists (@list @t41 @t4) (and @t46 @t45 (not (exists @t36 (and @t42 @t44))) (forall (@list @t40) (=> (_ (_ tptp.in @t40) @t1) (or (forall @t36 (=> (_ @t13 @t40) @t42)) (_ @t5 @t40))))))))))))) % 0.42/0.77 (assume @p12 (= tptp.descrp (forall @t58 (=> @t57 (_ @t53 @t56))))) % 0.42/0.77 (assume @p13 (= tptp.dsetconstrI (forall @t64 (=> @t7 (=> @t54 @t63))))) % 0.42/0.77 (assume @p14 (= tptp.dsetconstrEL (forall @t64 (=> @t63 @t7)))) % 0.42/0.77 (assume @p15 (= tptp.dsetconstrER (forall @t64 (=> @t63 @t54)))) % 0.42/0.77 (assume @p16 (= tptp.exuE1 (forall @t58 (=> @t57 @t66)))) % 0.42/0.77 (assume @p17 (= tptp.prop2setE (forall (@list @t67 @t4) (=> (_ @t5 @t68) @t67)))) % 0.42/0.77 (assume @p18 (= tptp.emptysetE (forall @t8 (=> @t10 (forall @t69 @t67))))) % 0.42/0.77 (assume @p19 (= tptp.emptysetimpfalse (forall @t8 (=> @t10 false)))) % 0.42/0.77 (assume @p20 (= tptp.notinemptyset @t11)) % 0.42/0.77 (assume @p21 (= tptp.exuE3e (forall @t58 (=> @t57 @t70)))) % 0.42/0.77 (assume @p22 (= tptp.setext (forall @t9 (=> @t72 (=> @t22 @t3))))) % 0.42/0.77 (assume @p23 (= tptp.emptyI @t75)) % 0.42/0.77 (assume @p24 (= tptp.noeltsimpempty @t75)) % 0.42/0.77 (assume @p25 (= tptp.setbeta (forall @t64 (=> @t7 (= @t63 @t54))))) % 0.42/0.77 (assume @p26 (= tptp.nonemptyE1 (forall @t34 (=> @t76 @t39)))) % 0.42/0.77 (assume @p27 (= tptp.nonemptyI (forall @t64 (=> @t7 (=> @t54 (_ tptp.nonempty @t62)))))) % 0.42/0.77 (assume @p28 (= tptp.nonemptyI1 (forall @t34 (=> @t39 @t76)))) % 0.42/0.77 (assume @p29 (= tptp.setadjoinIL (forall @t52 (_ @t5 (_ @t17 @t12))))) % 0.42/0.77 (assume @p30 (= tptp.emptyinunitempty (_ @t31 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)))) % 0.42/0.77 (assume @p31 (= tptp.setadjoinIR (forall @t20 (=> @t14 @t19)))) % 0.42/0.77 (assume @p32 (= tptp.setadjoinE (forall @t20 (=> @t19 (forall @t69 (=> (=> @t15 @t67) (=> (=> @t14 @t67) @t67))))))) % 0.42/0.77 (assume @p33 (= tptp.setadjoinOr (forall @t20 (=> @t19 @t16)))) % 0.42/0.77 (assume @p34 (= tptp.setoftrueEq (forall @t34 (= (_ @t61 (lambda @t8 true)) @t2)))) % 0.42/0.77 (assume @p35 (= tptp.powersetI (forall @t9 (=> @t22 @t25)))) % 0.42/0.77 (assume @p36 (= tptp.emptyinPowerset @t77)) % 0.42/0.77 (assume @p37 (= tptp.emptyInPowerset @t77)) % 0.42/0.77 (assume @p38 (= tptp.powersetE (forall @t78 (=> @t25 @t21)))) % 0.42/0.77 (assume @p39 (= tptp.setunionI (forall @t79 (=> @t6 (=> @t26 @t29))))) % 0.42/0.77 (assume @p40 (= tptp.setunionE (forall @t30 (=> @t29 (forall @t69 (=> (forall @t27 (=> @t6 (=> @t26 @t67))) @t67)))))) % 0.42/0.77 (assume @p41 (= tptp.subPowSU (forall @t30 (=> @t7 (_ @t5 (_ tptp.powerset @t28)))))) % 0.42/0.77 (assume @p42 (= tptp.exuE2 (forall @t58 (=> @t57 @t80)))) % 0.42/0.77 (assume @p43 (= tptp.nonemptyImpWitness (forall @t34 (=> @t76 (exists @t8 (and @t7 true)))))) % 0.42/0.77 (assume @p44 (= tptp.uniqinunit (forall @t52 (=> @t83 @t51)))) % 0.42/0.77 (assume @p45 (= tptp.notinsingleton (forall @t52 (=> (not @t51) (not @t85))))) % 0.42/0.77 (assume @p46 (= tptp.eqinunit (forall @t52 (=> @t51 @t83)))) % 0.42/0.77 (assume @p47 (= tptp.singletonsswitch (forall @t52 (=> @t83 @t85)))) % 0.42/0.77 (assume @p48 (= tptp.upairsetE @t89)) % 0.42/0.77 (assume @p49 (= tptp.upairsetIL (forall @t52 (_ @t5 @t87)))) % 0.42/0.77 (assume @p50 (= tptp.upairsetIR @t90)) % 0.42/0.77 (assume @p51 (= tptp.emptyE1 (forall @t93 (=> @t92 (=> (= @t91 tptp.emptyset) false))))) % 0.42/0.77 (assume @p52 (= tptp.vacuousDall (forall (@list @t53 @t4) (=> @t10 @t54)))) % 0.42/0.77 (assume @p53 (= tptp.quantDeMorgan1 @t97)) % 0.42/0.77 (assume @p54 (= tptp.quantDeMorgan2 (forall @t93 (=> @t99 @t98)))) % 0.42/0.77 (assume @p55 (= tptp.quantDeMorgan3 @t100)) % 0.42/0.77 (assume @p56 (= tptp.quantDeMorgan4 (forall @t93 (=> @t95 @t96)))) % 0.42/0.77 (assume @p57 (= tptp.prop2setI (forall @t69 (=> @t67 (_ @t31 @t68))))) % 0.42/0.77 (assume @p58 (= tptp.prop2set2propI (forall @t69 (=> @t67 (_ tptp.set2prop @t68))))) % 0.42/0.77 (assume @p59 (= tptp.notdexE @t100)) % 0.42/0.77 (assume @p60 (= tptp.notdallE @t97)) % 0.42/0.77 (assume @p61 (= tptp.exuI1 (forall @t58 (=> @t66 @t57)))) % 0.42/0.77 (assume @p62 (= tptp.exuI3 (forall @t58 (=> @t70 (=> @t102 @t57))))) % 0.42/0.77 (assume @p63 (= tptp.exuI2 (forall @t58 (=> @t80 @t57)))) % 0.42/0.77 (assume @p64 (= tptp.inCongP (forall @t9 (=> @t3 (forall @t52 (=> @t51 (=> @t7 @t103))))))) % 0.42/0.77 (assume @p65 (= tptp.in__Cong (forall @t9 (=> @t3 (forall @t52 (=> @t51 (= @t7 @t103))))))) % 0.42/0.77 (assume @p66 (= tptp.exuE3u @t104)) % 0.42/0.77 (assume @p67 (= tptp.exu__Cong (forall @t110 (=> @t109 (= @t57 @t107))))) % 0.42/0.77 (assume @p68 (= tptp.emptyset__Cong (= tptp.emptyset tptp.emptyset))) % 0.42/0.77 (assume @p69 (= tptp.setadjoin__Cong (forall @t52 (=> @t51 (forall @t113 (=> @t112 (= (_ @t17 @t86) (_ @t81 @t111)))))))) % 0.42/0.77 (assume @p70 (= tptp.powerset__Cong (forall @t9 (=> @t3 (= @t23 @t114))))) % 0.42/0.77 (assume @p71 (= tptp.setunion__Cong (forall @t9 (=> @t3 (= @t28 (_ tptp.setunion @t1)))))) % 0.42/0.77 (assume @p72 (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.42/0.77 (assume @p73 (= tptp.exuEu @t104)) % 0.42/0.77 (assume @p74 (= tptp.descr__Cong (forall @t110 (=> @t109 (=> @t57 (=> @t107 (= @t56 (_ tptp.descr @t106)))))))) % 0.42/0.77 (assume @p75 (= tptp.dsetconstr__Cong (forall @t9 (=> @t3 (forall @t110 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t103 @t108)))) (= @t91 (_ (_ tptp.dsetconstr @t1) @t106)))))))) % 0.42/0.77 (assume @p76 (= tptp.subsetI1 @t117)) % 0.42/0.77 (assume @p77 (= tptp.eqimpsubset2 (forall @t9 (=> @t3 @t119)))) % 0.42/0.77 (assume @p78 (= tptp.eqimpsubset1 (forall @t9 (=> @t3 @t116)))) % 0.42/0.77 (assume @p79 (= tptp.subsetI2 @t117)) % 0.42/0.77 (assume @p80 (= tptp.emptysetsubset (forall @t34 (_ (_ tptp.subset tptp.emptyset) @t2)))) % 0.42/0.77 (assume @p81 (= tptp.subsetE (forall @t78 (=> @t116 @t71)))) % 0.42/0.77 (assume @p82 (= tptp.subsetE2 (forall @t78 (=> @t116 @t121)))) % 0.42/0.77 (assume @p83 (= tptp.notsubsetI (forall @t78 (=> @t7 (=> @t120 @t122))))) % 0.42/0.77 (assume @p84 (= tptp.notequalI1 (forall @t9 (=> @t122 @t123)))) % 0.42/0.77 (assume @p85 (= tptp.notequalI2 (forall @t78 (=> @t7 (=> @t120 @t123))))) % 0.42/0.77 (assume @p86 (= tptp.subsetRefl (forall @t34 (_ @t115 @t2)))) % 0.42/0.77 (assume @p87 (= tptp.subsetTrans (forall @t124 (=> @t116 (=> (_ @t118 @t43) (_ @t115 @t43)))))) % 0.42/0.77 (assume @p88 (= tptp.setadjoinSub (forall (@list @t4 @t2) (_ @t115 @t18)))) % 0.42/0.77 (assume @p89 (= tptp.setadjoinSub2 (forall @t79 (=> @t116 (_ @t115 (_ @t17 @t1)))))) % 0.42/0.77 (assume @p90 (= tptp.subset2powerset (forall @t9 (=> @t116 (_ @t125 @t114))))) % 0.42/0.77 (assume @p91 (= tptp.setextsub (forall @t9 (=> @t116 (=> @t119 @t3))))) % 0.42/0.77 (assume @p92 (= tptp.subsetemptysetimpeq (forall @t34 (=> (_ @t115 tptp.emptyset) @t73)))) % 0.42/0.77 (assume @p93 (= tptp.powersetI1 (forall @t9 (=> @t119 @t25)))) % 0.42/0.77 (assume @p94 (= tptp.powersetE1 (forall @t9 (=> @t25 @t119)))) % 0.42/0.77 (assume @p95 (= tptp.inPowerset (forall @t34 (_ @t125 @t23)))) % 0.42/0.77 (assume @p96 (= tptp.powersetsubset (forall @t9 (=> @t116 (_ (_ tptp.subset @t23) @t114))))) % 0.42/0.77 (assume @p97 (= tptp.sepInPowerset (forall @t93 (_ (_ tptp.in @t91) @t23)))) % 0.42/0.77 (assume @p98 (= tptp.sepSubset (forall @t93 (_ (_ tptp.subset @t91) @t2)))) % 0.42/0.77 (assume @p99 (= tptp.binunionIL (forall @t78 (=> @t7 @t127)))) % 0.42/0.77 (assume @p100 (= tptp.upairset2IR @t90)) % 0.42/0.77 (assume @p101 (= tptp.binunionIR (forall @t78 (=> @t6 @t127)))) % 0.42/0.77 (assume @p102 (= tptp.binunionEcases (forall (@list @t2 @t1 @t4 @t67) (=> @t127 (=> (=> @t7 @t67) (=> @t128 @t67)))))) % 0.42/0.77 (assume @p103 (= tptp.binunionE (forall @t78 (=> @t127 (or @t7 @t6))))) % 0.42/0.77 (assume @p104 (= tptp.binunionLsub (forall @t9 (_ @t115 @t126)))) % 0.42/0.77 (assume @p105 (= tptp.binunionRsub (forall @t9 (_ @t118 @t126)))) % 0.42/0.77 (assume @p106 (= tptp.binintersectI (forall @t78 (=> @t7 (=> @t6 @t131))))) % 0.42/0.77 (assume @p107 (= tptp.binintersectSubset5 (forall @t124 (=> (_ @t132 @t2) (=> (_ @t132 @t1) (_ @t132 @t130)))))) % 0.42/0.77 (assume @p108 (= tptp.binintersectEL (forall @t78 (=> @t131 @t7)))) % 0.42/0.77 (assume @p109 (= tptp.binintersectLsub (forall @t9 (_ @t133 @t2)))) % 0.42/0.77 (assume @p110 (= tptp.binintersectSubset2 (forall @t9 (=> @t116 @t134)))) % 0.42/0.77 (assume @p111 (= tptp.binintersectSubset3 (forall @t9 (=> @t135 @t119)))) % 0.42/0.77 (assume @p112 (= tptp.binintersectER (forall @t78 (=> @t131 @t6)))) % 0.42/0.77 (assume @p113 (= tptp.disjointsetsI1 (forall @t9 (=> (not (exists @t8 (and @t7 @t6))) (= @t130 tptp.emptyset))))) % 0.42/0.77 (assume @p114 (= tptp.binintersectRsub (forall @t9 (_ @t133 @t1)))) % 0.42/0.77 (assume @p115 (= tptp.binintersectSubset4 (forall @t9 (=> @t119 @t135)))) % 0.42/0.77 (assume @p116 (= tptp.binintersectSubset1 (forall @t9 (=> @t134 @t116)))) % 0.42/0.77 (assume @p117 (= tptp.bs114d (forall @t124 (= (_ @t129 (_ (_ tptp.binunion @t1) @t43)) (_ (_ tptp.binunion @t130) (_ @t129 @t43)))))) % 0.42/0.77 (assume @p118 (= tptp.setminusI (forall @t78 (=> @t7 (=> @t120 @t137))))) % 0.42/0.77 (assume @p119 (= tptp.setminusEL (forall @t78 (=> @t137 @t7)))) % 0.42/0.77 (assume @p120 (= tptp.setminusER (forall @t78 (=> @t137 @t120)))) % 0.42/0.77 (assume @p121 (= tptp.setminusSubset2 (forall @t9 (=> @t116 @t138)))) % 0.42/0.77 (assume @p122 (= tptp.setminusERneg (forall @t78 (=> @t139 @t71)))) % 0.42/0.77 (assume @p123 (= tptp.setminusELneg (forall @t78 (=> @t139 @t121)))) % 0.42/0.77 (assume @p124 (= tptp.setminusILneg (forall @t78 (=> @t74 @t139)))) % 0.42/0.77 (assume @p125 (= tptp.setminusIRneg (forall @t78 (=> @t6 @t139)))) % 0.42/0.77 (assume @p126 (= tptp.setminusLsub (forall @t9 (_ (_ tptp.subset @t136) @t2)))) % 0.42/0.77 (assume @p127 (= tptp.setminusSubset1 (forall @t9 (=> @t138 @t116)))) % 0.42/0.77 (assume @p128 (= tptp.symdiffE (forall @t78 (=> @t140 (forall @t69 (=> (=> @t7 (=> @t120 @t67)) (=> (=> @t74 @t128) @t67))))))) % 0.42/0.77 (assume @p129 (= tptp.symdiffI1 (forall @t78 (=> @t7 (=> @t120 @t140))))) % 0.42/0.77 (assume @p130 (= tptp.symdiffI2 (forall @t78 (=> @t74 (=> @t6 @t140))))) % 0.42/0.77 (assume @p131 (= tptp.symdiffIneg1 (forall @t78 (=> @t7 (=> @t6 @t141))))) % 0.42/0.77 (assume @p132 (= tptp.symdiffIneg2 (forall @t78 (=> @t74 (=> @t120 @t141))))) % 0.42/0.77 (assume @p133 (= tptp.secondinupair @t90)) % 0.42/0.77 (assume @p134 (= tptp.setukpairIL (forall @t52 (_ @t5 @t144)))) % 0.42/0.77 (assume @p135 (= tptp.setukpairIR (forall @t52 (_ @t13 @t144)))) % 0.42/0.77 (assume @p136 (= tptp.kpairiskpair (forall @t52 (_ tptp.iskpair @t143)))) % 0.42/0.77 (assume @p137 (= tptp.kpairp (forall @t52 (_ tptp.iskpair @t146)))) % 0.42/0.77 (assume @p138 (= tptp.singletonsubset (forall @t30 (=> @t7 (_ (_ tptp.subset @t84) @t2))))) % 0.42/0.77 (assume @p139 (= tptp.singletoninpowerset (forall @t30 (=> @t7 (_ @t147 @t23))))) % 0.42/0.77 (assume @p140 (= tptp.singletoninpowunion (forall @t78 (=> @t7 (_ @t147 @t148))))) % 0.42/0.77 (assume @p141 (= tptp.upairset2E @t89)) % 0.42/0.77 (assume @p142 (= tptp.upairsubunion (forall @t78 (=> @t7 (forall @t36 (=> @t103 (_ (_ tptp.subset @t87) @t126))))))) % 0.42/0.77 (assume @p143 (= tptp.upairinpowunion (forall @t78 (=> @t7 (forall @t36 (=> @t103 (_ (_ tptp.in @t87) @t148))))))) % 0.42/0.77 (assume @p144 (= tptp.ubforcartprodlem1 (forall @t78 (=> @t7 (forall @t36 (=> @t103 (_ (_ tptp.subset @t143) @t148))))))) % 0.42/0.77 (assume @p145 (= tptp.ubforcartprodlem2 (forall @t78 (=> @t7 (forall @t36 (=> @t103 (_ (_ tptp.in @t143) @t149))))))) % 0.42/0.77 (assume @p146 (= tptp.ubforcartprodlem3 (forall @t78 (=> @t7 (forall @t36 (=> @t103 (_ @t150 @t149))))))) % 0.42/0.77 (assume @p147 (= tptp.cartprodpairin (forall @t78 (=> @t7 (forall @t36 (=> @t103 @t152)))))) % 0.42/0.77 (assume @p148 (= tptp.cartprodmempair1 (forall @t155 (=> @t154 (exists @t8 (and @t7 (exists @t36 (and @t103 @t153)))))))) % 0.42/0.77 (assume @p149 (= tptp.cartprodmempair (forall @t155 (=> @t154 @t156)))) % 0.42/0.77 (assume @p150 (= tptp.setunionE2 (forall @t30 (=> @t29 (exists @t158 (and (_ (_ tptp.in @t157) @t2) (_ @t5 @t157))))))) % 0.42/0.77 (assume @p151 (= tptp.setunionsingleton1 (forall @t34 (_ (_ tptp.subset @t159) @t2)))) % 0.42/0.77 (assume @p152 (= tptp.setunionsingleton2 (forall @t34 (_ @t115 @t159)))) % 0.42/0.77 (assume @p153 (= tptp.setunionsingleton (forall @t8 (= (_ tptp.setunion @t84) @t4)))) % 0.42/0.77 (assume @p154 (= tptp.singletonprop (forall @t93 (=> @t161 (=> @t92 @t160))))) % 0.42/0.77 (assume @p155 (= tptp.ex1E1 (forall @t93 (=> @t163 @t92)))) % 0.42/0.77 (assume @p156 (= tptp.ex1I (forall @t64 (=> @t7 (=> @t54 (=> (forall @t36 (=> @t14 (=> @t59 @t15))) (_ @t162 @t60))))))) % 0.42/0.77 (assume @p157 (= tptp.ex1I2 (forall @t93 (=> @t161 (=> @t92 @t163))))) % 0.42/0.77 (assume @p158 (= tptp.singletonsuniq (forall @t52 (=> (= @t84 @t82) @t51)))) % 0.42/0.77 (assume @p159 (= tptp.setukpairinjL1 (forall @t88 (=> (_ (_ tptp.in @t166) @t143) @t164)))) % 0.42/0.77 (assume @p160 (= tptp.kfstsingleton (forall @t168 (=> @t156 (_ tptp.singleton (_ @t167 (lambda @t8 (_ @t147 @t111)))))))) % 0.42/0.77 (assume @p161 (= tptp.theprop (forall @t158 (=> (_ tptp.singleton @t157) (_ (_ tptp.in (_ tptp.setunion @t157)) @t157))))) % 0.42/0.77 (assume @p162 (= tptp.kfstpairEq (forall @t52 @t169))) % 0.42/0.77 (assume @p163 (= tptp.cartprodfstin (forall @t155 (=> @t154 (_ (_ tptp.in @t170) @t2))))) % 0.42/0.77 (assume @p164 (= tptp.setukpairinjL2 (forall @t172 (=> @t171 @t164)))) % 0.42/0.77 (assume @p165 (= tptp.setukpairinjL (forall @t172 (=> @t173 @t164)))) % 0.42/0.77 (assume @p166 (= tptp.setukpairinjR11 (forall @t52 (=> @t51 (= @t87 @t84))))) % 0.42/0.77 (assume @p167 (= tptp.setukpairinjR12 (forall @t52 (=> @t51 (= @t143 (_ @t142 tptp.emptyset)))))) % 0.42/0.77 (assume @p168 (= tptp.setukpairinjR1 (forall @t172 (=> @t171 (=> @t112 @t174))))) % 0.42/0.77 (assume @p169 (= tptp.upairequniteq (forall @t88 (=> (= @t87 @t166) @t51)))) % 0.42/0.77 (assume @p170 (= tptp.setukpairinjR2 (forall @t172 (=> @t171 @t174)))) % 0.42/0.77 (assume @p171 (= tptp.setukpairinjR (forall @t172 (=> @t173 @t174)))) % 0.42/0.77 (assume @p172 (= tptp.ksndsingleton (forall @t168 (=> @t156 (_ tptp.singleton (_ @t167 (lambda @t8 (= @t111 (_ @t175 @t4))))))))) % 0.42/0.77 (assume @p173 (= tptp.ksndpairEq (forall @t52 @t176))) % 0.42/0.77 (assume @p174 (= tptp.kpairsurjEq (forall @t168 (=> @t156 @t178)))) % 0.42/0.77 (assume @p175 (= tptp.cartprodsndin (forall @t155 (=> @t154 (_ (_ tptp.in @t177) @t1))))) % 0.42/0.77 (assume @p176 (= tptp.cartprodpairmemEL (forall @t179 (=> @t152 @t7)))) % 0.42/0.77 (assume @p177 (= tptp.cartprodpairmemER (forall @t179 (=> @t152 @t103)))) % 0.42/0.77 (assume @p178 (= tptp.cartprodmempaircEq (forall @t78 (=> @t7 (forall @t36 (=> @t103 (= @t146 @t146))))))) % 0.42/0.77 (assume @p179 (= tptp.cartprodfstpairEq (forall @t78 (=> @t7 (forall @t36 (=> @t103 @t169)))))) % 0.42/0.77 (assume @p180 (= tptp.cartprodsndpairEq (forall @t78 (=> @t7 (forall @t36 (=> @t103 @t176)))))) % 0.42/0.77 (assume @p181 (= tptp.cartprodpairsurjEq (forall @t155 (=> @t154 @t178)))) % 0.42/0.77 (assume @p182 (= tptp.dpsetconstrI (forall (@list @t2 @t1 @t35 @t4) (=> @t7 (forall @t36 (=> @t103 (=> @t38 (_ @t150 (_ @t180 (lambda @t113 (_ (_ @t35 @t86) @t111))))))))))) % 0.42/0.77 (assume @p183 @t185) % 0.42/0.77 (assume @p184 @t370) % 0.42/0.77 (assume @p185 true) % 0.42/0.77 (step @p186 (= tptp.exu @t371) :rule refl :args (@t371)) % 0.42/0.77 (step @p187 (= tptp.nonempty @t372) :rule refl :args (@t372)) % 0.42/0.77 (step @p188 (= tptp.singleton @t373) :rule refl :args (@t373)) % 0.42/0.77 (step @p189 (= tptp.ex1 @t374) :rule refl :args (@t374)) % 0.42/0.77 (step @p190 (= tptp.breln @t376) :rule refl :args (@t376)) % 0.42/0.77 (step @p191 (= tptp.dpsetconstr @t383) :rule refl :args (@t383)) % 0.42/0.77 (step @p192 :rule refl :args ((tptp.subset @t389 @t151))) % 0.42/0.77 (step @p193 :rule refl :args (@t390)) % 0.42/0.77 (step @p194 :rule refl :args ((tptp.dsetconstr @t151 @t388))) % 0.42/0.77 (step @p195 :rule refl :args (@t391)) % 0.42/0.77 (step @p196 :rule refl :args (@t111)) % 0.42/0.77 (step @p197 :rule cong :premises (@p196 @p195) :args (@t392)) % 0.42/0.77 (step @p198 :rule cong :premises (@p197) :args (@t393)) % 0.42/0.77 (step @p199 :rule refl :args (@t394)) % 0.42/0.77 (step @p200 :rule cong :premises (@p199) :args (@t395)) % 0.42/0.77 (step @p201 :rule refl :args (@t396)) % 0.42/0.77 (step @p202 :rule cong :premises (@p201) :args (@t397)) % 0.42/0.77 (step @p203 :rule refl :args (@t398)) % 0.42/0.77 (step @p204 :rule cong :premises (@p203) :args (@t399)) % 0.42/0.77 (step @p205 :rule nary_cong :premises (@p204 @p202 @p200 @p198) :args (@t400)) % 0.42/0.77 (step @p206 :rule cong :premises (@p205) :args (@t401)) % 0.42/0.77 (step @p207 :rule cong :premises (@p206) :args (@t402)) % 0.42/0.77 (step @p208 :rule cong :premises (@p207) :args (@t403)) % 0.42/0.77 (step @p209 :rule cong :premises (@p193 @p208) :args (@t404)) % 0.42/0.77 (step @p210 :rule trans :premises (@p209 @p194)) % 0.42/0.77 (step @p211 :rule cong :premises (@p210 @p193) :args (@t405)) % 0.42/0.77 (step @p212 :rule trans :premises (@p211 @p192)) % 0.42/0.77 (step @p213 :rule refl :args (tptp.subset)) % 0.42/0.77 (step @p214 :rule ho_cong :premises (@p213 @p210)) % 0.42/0.77 (step @p215 :rule ho_cong :premises (@p214 @p193)) % 0.42/0.77 (step @p216 :rule cong :premises (@p215 @p212) :args ((= (_ (_ tptp.subset @t404) @t390) @t405))) % 0.42/0.77 (step @p217 :rule symm :premises (@p216)) % 0.42/0.77 (step @p218 :rule refl :args ((_ (_ tptp.subset @t389) @t151))) % 0.42/0.77 (step @p219 :rule eq_resolve :premises (@p218 @p217)) % 0.42/0.77 (step @p220 :rule refl :args (@t151)) % 0.42/0.77 (step @p221 :rule cong :premises (@p220 @p193) :args ((= @t151 @t390))) % 0.42/0.77 (step @p222 :rule symm :premises (@p221)) % 0.42/0.77 (step @p223 :rule eq_resolve :premises (@p220 @p222)) % 0.42/0.77 (step @p224 :rule refl :args (tptp.dsetconstr)) % 0.42/0.77 (step @p225 :rule ho_cong :premises (@p224 @p193)) % 0.42/0.77 (step @p226 :rule ho_cong :premises (@p225 @p208)) % 0.42/0.77 (step @p227 :rule cong :premises (@p226 @p210) :args ((= (_ (_ tptp.dsetconstr @t390) @t403) @t404))) % 0.42/0.77 (step @p228 :rule symm :premises (@p227)) % 0.42/0.77 (step @p229 :rule refl :args (@t389)) % 0.42/0.77 (step @p230 :rule eq_resolve :premises (@p229 @p228)) % 0.42/0.77 (step @p231 :rule refl :args (@t403)) % 0.42/0.77 (step @p232 :rule ho_cong :premises (@p224 @p223)) % 0.42/0.77 (step @p233 :rule ho_cong :premises (@p232 @p231)) % 0.42/0.77 (step @p234 :rule trans :premises (@p233 @p230)) % 0.42/0.77 (step @p235 :rule ho_cong :premises (@p213 @p234)) % 0.42/0.77 (step @p236 :rule ho_cong :premises (@p235 @p223)) % 0.42/0.77 (step @p237 :rule trans :premises (@p236 @p219)) % 0.42/0.77 (step @p238 :rule cong :premises (@p237) :args ((forall @t183 @t407))) % 0.42/0.77 (step @p239 :rule beta-reduce :args ((= (_ @t408 @t406) @t407))) % 0.42/0.77 (step @p240 :rule refl :args (@t393)) % 0.42/0.77 (step @p241 :rule refl :args (@t385)) % 0.42/0.77 (step @p242 :rule cong :premises (@p241 @p199) :args ((= @t385 @t394))) % 0.42/0.77 (step @p243 :rule symm :premises (@p242)) % 0.42/0.77 (step @p244 :rule eq_resolve :premises (@p241 @p243)) % 0.42/0.77 (step @p245 :rule cong :premises (@p244) :args (@t386)) % 0.42/0.77 (step @p246 :rule refl :args (@t397)) % 0.42/0.77 (step @p247 :rule refl :args (@t399)) % 0.42/0.77 (step @p248 :rule nary_cong :premises (@p247 @p246 @p245 @p240) :args (@t409)) % 0.42/0.77 (step @p249 :rule cong :premises (@p248) :args ((forall @t387 @t409))) % 0.42/0.77 (step @p250 :rule refl :args (@t393)) % 0.42/0.77 (step @p251 :rule beta-reduce :args ((= @t410 @t385))) % 0.42/0.77 (step @p252 :rule cong :premises (@p251) :args (@t411)) % 0.42/0.77 (step @p253 :rule refl :args (@t397)) % 0.42/0.77 (step @p254 :rule refl :args (@t399)) % 0.42/0.77 (step @p255 :rule nary_cong :premises (@p254 @p253 @p252 @p250) :args (@t412)) % 0.42/0.77 (step @p256 :rule cong :premises (@p255) :args (@t413)) % 0.42/0.77 (step @p257 :rule trans :premises (@p256 @p249)) % 0.42/0.77 (step @p258 :rule cong :premises (@p257) :args (@t414)) % 0.42/0.77 (step @p259 :rule cong :premises (@p258) :args (@t415)) % 0.42/0.77 (step @p260 :rule refl :args (@t382)) % 0.42/0.77 (step @p261 :rule ho_cong :premises (@p260 @p259)) % 0.42/0.77 (step @p262 :rule beta-reduce :args ((= (_ @t416 @t181) (_ @t382 @t415)))) % 0.42/0.77 (step @p263 :rule trans :premises (@p262 @p261)) % 0.42/0.77 (step @p264 :rule refl :args (@t181)) % 0.42/0.77 (step @p265 :rule beta-reduce :args ((= (_ @t417 @t1) @t416))) % 0.42/0.77 (step @p266 :rule refl :args (@t1)) % 0.42/0.77 (step @p267 :rule beta-reduce :args ((= @t418 @t417))) % 0.42/0.77 (step @p268 :rule ho_cong :premises (@p267 @p266)) % 0.42/0.77 (step @p269 :rule trans :premises (@p268 @p265)) % 0.42/0.77 (step @p270 :rule ho_cong :premises (@p269 @p264)) % 0.42/0.77 (step @p271 :rule trans :premises (@p270 @p263)) % 0.42/0.77 (step @p272 :rule beta-reduce :args ((= (_ @t419 @t1) @t408))) % 0.42/0.77 (step @p273 :rule beta-reduce :args ((= @t420 @t419))) % 0.42/0.77 (step @p274 :rule ho_cong :premises (@p273 @p266)) % 0.42/0.77 (step @p275 :rule trans :premises (@p274 @p272)) % 0.42/0.77 (step @p276 :rule ho_cong :premises (@p275 @p271)) % 0.42/0.77 (step @p277 :rule trans :premises (@p276 @p239)) % 0.42/0.77 (step @p278 :rule cong :premises (@p277) :args (@t422)) % 0.42/0.77 (step @p279 :rule trans :premises (@p278 @p238)) % 0.42/0.77 (step @p280 :rule refl :args (tptp.dpsetconstrSub)) % 0.42/0.77 (step @p281 :rule cong :premises (@p280 @p279) :args (@t423)) % 0.42/0.77 (step @p282 :rule refl :args (tptp.dpsetconstrI)) % 0.42/0.77 (step @p283 :rule cong :premises (@p282 @p281) :args (@t424)) % 0.42/0.77 (step @p284 :rule refl :args (tptp.cartprodpairsurjEq)) % 0.42/0.77 (step @p285 :rule cong :premises (@p284 @p283) :args (@t425)) % 0.42/0.77 (step @p286 :rule refl :args (tptp.cartprodsndpairEq)) % 0.42/0.77 (step @p287 :rule cong :premises (@p286 @p285) :args (@t426)) % 0.42/0.77 (step @p288 :rule refl :args (tptp.cartprodfstpairEq)) % 0.42/0.77 (step @p289 :rule cong :premises (@p288 @p287) :args (@t427)) % 0.42/0.77 (step @p290 :rule refl :args (tptp.cartprodmempaircEq)) % 0.42/0.77 (step @p291 :rule cong :premises (@p290 @p289) :args (@t428)) % 0.42/0.77 (step @p292 :rule refl :args (tptp.cartprodpairmemER)) % 0.42/0.77 (step @p293 :rule cong :premises (@p292 @p291) :args (@t429)) % 0.42/0.77 (step @p294 :rule refl :args (tptp.cartprodpairmemEL)) % 0.42/0.77 (step @p295 :rule cong :premises (@p294 @p293) :args (@t430)) % 0.42/0.77 (step @p296 :rule refl :args (tptp.cartprodsndin)) % 0.42/0.77 (step @p297 :rule cong :premises (@p296 @p295) :args (@t431)) % 0.42/0.77 (step @p298 :rule refl :args (tptp.kpairsurjEq)) % 0.42/0.77 (step @p299 :rule cong :premises (@p298 @p297) :args (@t432)) % 0.42/0.77 (step @p300 :rule refl :args (tptp.ksndpairEq)) % 0.42/0.77 (step @p301 :rule cong :premises (@p300 @p299) :args (@t433)) % 0.42/0.77 (step @p302 :rule refl :args (tptp.ksndsingleton)) % 0.42/0.77 (step @p303 :rule cong :premises (@p302 @p301) :args (@t434)) % 0.42/0.77 (step @p304 :rule refl :args (tptp.setukpairinjR)) % 0.42/0.77 (step @p305 :rule cong :premises (@p304 @p303) :args (@t435)) % 0.42/0.77 (step @p306 :rule refl :args (tptp.setukpairinjR2)) % 0.42/0.77 (step @p307 :rule cong :premises (@p306 @p305) :args (@t436)) % 0.42/0.77 (step @p308 :rule refl :args (tptp.upairequniteq)) % 0.42/0.77 (step @p309 :rule cong :premises (@p308 @p307) :args (@t437)) % 0.42/0.77 (step @p310 :rule refl :args (tptp.setukpairinjR1)) % 0.42/0.77 (step @p311 :rule cong :premises (@p310 @p309) :args (@t438)) % 0.42/0.77 (step @p312 :rule refl :args (tptp.setukpairinjR12)) % 0.42/0.77 (step @p313 :rule cong :premises (@p312 @p311) :args (@t439)) % 0.42/0.77 (step @p314 :rule refl :args (tptp.setukpairinjR11)) % 0.42/0.77 (step @p315 :rule cong :premises (@p314 @p313) :args (@t440)) % 0.42/0.77 (step @p316 :rule refl :args (tptp.setukpairinjL)) % 0.42/0.77 (step @p317 :rule cong :premises (@p316 @p315) :args (@t441)) % 0.42/0.77 (step @p318 :rule refl :args (tptp.setukpairinjL2)) % 0.42/0.77 (step @p319 :rule cong :premises (@p318 @p317) :args (@t442)) % 0.42/0.77 (step @p320 :rule refl :args (tptp.cartprodfstin)) % 0.42/0.77 (step @p321 :rule cong :premises (@p320 @p319) :args (@t443)) % 0.42/0.77 (step @p322 :rule refl :args (tptp.kfstpairEq)) % 0.42/0.77 (step @p323 :rule cong :premises (@p322 @p321) :args (@t444)) % 0.42/0.77 (step @p324 :rule refl :args (tptp.theprop)) % 0.42/0.77 (step @p325 :rule cong :premises (@p324 @p323) :args (@t445)) % 0.42/0.77 (step @p326 :rule refl :args (tptp.kfstsingleton)) % 0.42/0.77 (step @p327 :rule cong :premises (@p326 @p325) :args 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:rule not_implies_elim2 :premises (@p973)) % 0.42/0.77 (step @p975 :rule not_implies_elim2 :premises (@p974)) % 0.42/0.77 (step @p976 :rule not_implies_elim2 :premises (@p975)) % 0.42/0.77 (step @p977 :rule not_implies_elim2 :premises (@p976)) % 0.42/0.77 (step @p978 :rule not_implies_elim2 :premises (@p977)) % 0.42/0.77 (step @p979 :rule not_implies_elim2 :premises (@p978)) % 0.42/0.77 (step @p980 :rule not_implies_elim2 :premises (@p979)) % 0.42/0.77 (step @p981 :rule not_implies_elim2 :premises (@p980)) % 0.42/0.77 (step @p982 :rule not_implies_elim2 :premises (@p981)) % 0.42/0.77 (step @p983 :rule not_implies_elim2 :premises (@p982)) % 0.42/0.77 (step @p984 :rule not_implies_elim2 :premises (@p983)) % 0.42/0.77 (step @p985 :rule not_implies_elim2 :premises (@p984)) % 0.42/0.77 (step @p986 :rule not_implies_elim2 :premises (@p985)) % 0.42/0.77 (step @p987 :rule not_implies_elim2 :premises (@p986)) % 0.42/0.77 (step @p988 :rule not_implies_elim2 :premises (@p987)) % 0.42/0.77 (step @p989 :rule not_implies_elim2 :premises (@p988)) % 0.42/0.77 (step @p990 :rule not_implies_elim2 :premises (@p989)) % 0.42/0.77 (step @p991 :rule not_implies_elim2 :premises (@p990)) % 0.42/0.77 (step @p992 :rule not_implies_elim2 :premises (@p991)) % 0.42/0.77 (step @p993 :rule not_implies_elim2 :premises (@p992)) % 0.42/0.77 (step @p994 :rule not_implies_elim2 :premises (@p993)) % 0.42/0.77 (step @p995 :rule not_implies_elim2 :premises (@p994)) % 0.42/0.77 (step @p996 :rule not_implies_elim2 :premises (@p995)) % 0.42/0.77 (step @p997 :rule not_implies_elim2 :premises (@p996)) % 0.42/0.77 (step @p998 :rule not_implies_elim2 :premises (@p997)) % 0.42/0.77 (step @p999 :rule not_implies_elim2 :premises (@p998)) % 0.42/0.77 (step @p1000 :rule not_implies_elim2 :premises (@p999)) % 0.42/0.77 (step @p1001 :rule not_implies_elim2 :premises (@p1000)) % 0.42/0.77 (step @p1002 :rule not_implies_elim2 :premises (@p1001)) % 0.42/0.77 (step @p1003 :rule not_implies_elim2 :premises (@p1002)) % 0.42/0.77 (step @p1004 :rule not_implies_elim2 :premises (@p1003)) % 0.42/0.77 (step @p1005 :rule not_implies_elim2 :premises (@p1004)) % 0.42/0.77 (step @p1006 :rule not_implies_elim2 :premises (@p1005)) % 0.42/0.77 (step @p1007 :rule not_implies_elim2 :premises (@p1006)) % 0.42/0.77 (step @p1008 :rule not_implies_elim2 :premises (@p1007)) % 0.42/0.77 (step @p1009 :rule not_implies_elim2 :premises (@p1008)) % 0.42/0.77 (step @p1010 :rule not_implies_elim2 :premises (@p1009)) % 0.42/0.77 (step @p1011 :rule not_implies_elim2 :premises (@p1010)) % 0.42/0.77 (step @p1012 :rule not_implies_elim2 :premises (@p1011)) % 0.42/0.77 (step @p1013 :rule not_implies_elim2 :premises (@p1012)) % 0.42/0.77 (step @p1014 :rule not_implies_elim2 :premises (@p1013)) % 0.42/0.77 (step @p1015 :rule not_implies_elim2 :premises (@p1014)) % 0.42/0.77 (step @p1016 :rule not_implies_elim2 :premises (@p1015)) % 0.42/0.77 (step @p1017 :rule not_implies_elim2 :premises (@p1016)) % 0.42/0.77 (step @p1018 :rule not_implies_elim2 :premises (@p1017)) % 0.42/0.77 (step @p1019 :rule not_implies_elim2 :premises (@p1018)) % 0.42/0.77 (step @p1020 :rule not_implies_elim2 :premises (@p1019)) % 0.42/0.77 (step @p1021 :rule not_implies_elim2 :premises (@p1020)) % 0.42/0.77 (step @p1022 :rule not_implies_elim2 :premises (@p1021)) % 0.42/0.77 (step @p1023 :rule not_implies_elim2 :premises (@p1022)) % 0.42/0.77 (step @p1024 :rule not_implies_elim2 :premises (@p1023)) % 0.42/0.77 (step @p1025 :rule not_implies_elim2 :premises (@p1024)) % 0.42/0.77 (step @p1026 :rule not_implies_elim2 :premises (@p1025)) % 0.42/0.77 (step @p1027 :rule not_implies_elim2 :premises (@p1026)) % 0.42/0.77 (step @p1028 :rule not_implies_elim2 :premises (@p1027)) % 0.42/0.77 (step @p1029 :rule not_implies_elim2 :premises (@p1028)) % 0.42/0.77 (step @p1030 :rule not_implies_elim2 :premises (@p1029)) % 0.42/0.77 (step @p1031 :rule not_implies_elim2 :premises (@p1030)) % 0.42/0.77 (step @p1032 :rule not_implies_elim2 :premises (@p1031)) % 0.42/0.77 (step @p1033 :rule not_implies_elim2 :premises (@p1032)) % 0.42/0.77 (step @p1034 :rule not_implies_elim2 :premises (@p1033)) % 0.42/0.77 (step @p1035 :rule not_implies_elim2 :premises (@p1034)) % 0.42/0.77 (step @p1036 :rule not_implies_elim2 :premises (@p1035)) % 0.42/0.77 (step @p1037 :rule not_implies_elim2 :premises (@p1036)) % 0.42/0.77 (step @p1038 :rule not_implies_elim2 :premises (@p1037)) % 0.42/0.77 (step @p1039 :rule not_implies_elim2 :premises (@p1038)) % 0.42/0.77 (step @p1040 :rule not_implies_elim2 :premises (@p1039)) % 0.42/0.77 (step @p1041 :rule not_implies_elim2 :premises (@p1040)) % 0.42/0.77 (step @p1042 :rule not_implies_elim2 :premises (@p1041)) % 0.42/0.77 (step @p1043 :rule not_implies_elim2 :premises (@p1042)) % 0.42/0.77 (step @p1044 :rule not_implies_elim2 :premises (@p1043)) % 0.42/0.77 (step @p1045 :rule not_implies_elim2 :premises (@p1044)) % 0.42/0.77 (step @p1046 :rule not_implies_elim2 :premises (@p1045)) % 0.42/0.77 (step @p1047 :rule not_implies_elim2 :premises (@p1046)) % 0.42/0.77 (step @p1048 :rule not_implies_elim2 :premises (@p1047)) % 0.42/0.77 (step @p1049 :rule not_implies_elim2 :premises (@p1048)) % 0.42/0.77 (step @p1050 :rule not_implies_elim2 :premises (@p1049)) % 0.42/0.77 (step @p1051 :rule not_implies_elim2 :premises (@p1050)) % 0.42/0.77 (step @p1052 :rule not_implies_elim2 :premises (@p1051)) % 0.42/0.77 (step @p1053 :rule not_implies_elim2 :premises (@p1052)) % 0.42/0.77 (step @p1054 :rule not_implies_elim2 :premises (@p1053)) % 0.42/0.77 (step @p1055 :rule not_implies_elim2 :premises (@p1054)) % 0.42/0.77 (step @p1056 :rule not_implies_elim2 :premises (@p1055)) % 0.42/0.77 (step @p1057 :rule not_implies_elim2 :premises (@p1056)) % 0.42/0.77 (step @p1058 :rule not_implies_elim2 :premises (@p1057)) % 0.42/0.77 (step @p1059 :rule not_implies_elim2 :premises (@p1058)) % 0.42/0.77 (step @p1060 :rule not_implies_elim2 :premises (@p1059)) % 0.42/0.77 (step @p1061 :rule not_implies_elim2 :premises (@p1060)) % 0.42/0.77 (step @p1062 :rule not_implies_elim2 :premises (@p1061)) % 0.42/0.77 (step @p1063 :rule not_implies_elim2 :premises (@p1062)) % 0.42/0.77 (step @p1064 :rule not_implies_elim2 :premises (@p1063)) % 0.42/0.77 (step @p1065 :rule not_implies_elim2 :premises (@p1064)) % 0.42/0.77 (step @p1066 :rule not_implies_elim2 :premises (@p1065)) % 0.42/0.77 (step @p1067 :rule not_implies_elim2 :premises (@p1066)) % 0.42/0.77 (step @p1068 :rule not_implies_elim2 :premises (@p1067)) % 0.42/0.77 (step @p1069 :rule not_implies_elim2 :premises (@p1068)) % 0.42/0.77 (step @p1070 :rule not_implies_elim2 :premises (@p1069)) % 0.42/0.77 (step @p1071 :rule not_implies_elim2 :premises (@p1070)) % 0.42/0.77 (step @p1072 :rule not_implies_elim2 :premises (@p1071)) % 0.42/0.77 (step @p1073 :rule not_implies_elim2 :premises (@p1072)) % 0.42/0.77 (step @p1074 :rule not_implies_elim2 :premises (@p1073)) % 0.42/0.77 (step @p1075 :rule not_implies_elim2 :premises (@p1074)) % 0.42/0.77 (step @p1076 :rule not_implies_elim2 :premises (@p1075)) % 0.42/0.77 (step @p1077 :rule not_implies_elim2 :premises (@p1076)) % 0.42/0.77 (step @p1078 :rule not_implies_elim2 :premises (@p1077)) % 0.42/0.77 (step @p1079 :rule not_implies_elim2 :premises (@p1078)) % 0.42/0.77 (step @p1080 :rule not_implies_elim2 :premises (@p1079)) % 0.42/0.77 (step @p1081 :rule not_implies_elim2 :premises (@p1080)) % 0.42/0.77 (step @p1082 :rule not_implies_elim2 :premises (@p1081)) % 0.42/0.77 (step @p1083 :rule not_implies_elim2 :premises (@p1082)) % 0.42/0.77 (step @p1084 :rule not_implies_elim2 :premises (@p1083)) % 0.42/0.77 (step @p1085 :rule not_implies_elim2 :premises (@p1084)) % 0.42/0.77 (step @p1086 :rule not_implies_elim2 :premises (@p1085)) % 0.42/0.77 (step @p1087 :rule not_implies_elim2 :premises (@p1086)) % 0.42/0.77 (step @p1088 :rule not_implies_elim2 :premises (@p1087)) % 0.42/0.77 (step @p1089 :rule not_implies_elim2 :premises (@p1088)) % 0.42/0.77 (step @p1090 :rule not_implies_elim2 :premises (@p1089)) % 0.42/0.77 (step @p1091 :rule not_implies_elim2 :premises (@p1090)) % 0.42/0.77 (step @p1092 :rule not_implies_elim2 :premises (@p1091)) % 0.42/0.77 (step @p1093 :rule not_implies_elim2 :premises (@p1092)) % 0.42/0.77 (step @p1094 :rule not_implies_elim2 :premises (@p1093)) % 0.42/0.77 (step @p1095 :rule not_implies_elim1 :premises (@p1093)) % 0.42/0.77 (step @p1096 :rule cnf_equiv_pos1 :args ((= tptp.dpsetconstrSub @t628))) % 0.42/0.77 (step @p1097 :rule chain_resolution :premises (@p1096 @p1095 @p1094) :args ((@list false true) (@list tptp.dpsetconstrSub @t628))) % 0.42/0.77 (step @p1098 :rule refl :args (@t151)) % 0.42/0.77 (step @p1099 :rule refl :args (tptp.subset)) % 0.42/0.77 (step @p1100 :rule ho_cong :premises (@p1099 @p271)) % 0.42/0.77 (step @p1101 :rule ho_cong :premises (@p1100 @p1098)) % 0.42/0.77 (step @p1102 :rule cong :premises (@p1101) :args (@t629)) % 0.42/0.77 (step @p1103 :rule trans :premises (@p1102 @p238)) % 0.42/0.77 (step @p1104 :rule cong :premises (@p280 @p1103) :args ((= tptp.dpsetconstrSub @t629))) % 0.42/0.77 (step @p1105 :rule ho_cong :premises (@p1099 @p721)) % 0.42/0.77 (step @p1106 :rule ho_cong :premises (@p1105 @p1098)) % 0.42/0.77 (step @p1107 :rule cong :premises (@p1106) :args (@t184)) % 0.42/0.77 (step @p1108 :rule cong :premises (@p280 @p1107) :args (@t185)) % 0.42/0.77 (step @p1109 :rule trans :premises (@p1108 @p1104)) % 0.42/0.77 (step @p1110 :rule eq_resolve :premises (@p183 @p1109)) % 0.42/0.77 (step @p1111 false :rule contra :premises (@p1110 @p1097)) % 0.42/0.77 ) % 0.42/0.77 % SZS output end Proof % 0.42/0.77 % cvc5 exiting %------------------------------------------------------------------------------