%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU654^1 : 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 : n003.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 08:52:35 AM UTC 2026 % Result : Theorem 0.40s 0.72s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU654^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n003.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:44:29 EDT 2026 % 0.15/0.34 % CPUTime : % 0.35/0.56 %----Proving TH0 % 0.40/0.72 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.72 % SZS status Theorem % 0.40/0.72 % SZS output start Proof % 0.40/0.72 ( % 0.40/0.72 (declare-sort $$unsorted 0) % 0.40/0.72 (declare-const tptp.emptyset $$unsorted) % 0.40/0.72 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.40/0.72 (declare-const tptp.setukpairinjR2 Bool) % 0.40/0.72 (declare-const tptp.setukpairinjR12 Bool) % 0.40/0.72 (declare-const tptp.setukpairinjL Bool) % 0.40/0.72 (declare-const tptp.cartprodfstin Bool) % 0.40/0.72 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.kfstsingleton Bool) % 0.40/0.72 (declare-const tptp.setukpairinjL1 Bool) % 0.40/0.72 (declare-const tptp.ex1I2 Bool) % 0.40/0.72 (declare-const tptp.ex1I Bool) % 0.40/0.72 (declare-const tptp.ex1E1 Bool) % 0.40/0.72 (declare-const tptp.singletonprop Bool) % 0.40/0.72 (declare-const tptp.setunionE2 Bool) % 0.40/0.72 (declare-const tptp.cartprodmempair Bool) % 0.40/0.72 (declare-const tptp.cartprodmempair1 Bool) % 0.40/0.72 (declare-const tptp.cartprodpairin Bool) % 0.40/0.72 (declare-const tptp.ubforcartprodlem3 Bool) % 0.40/0.72 (declare-const tptp.ubforcartprodlem2 Bool) % 0.40/0.72 (declare-const tptp.upairinpowunion Bool) % 0.40/0.72 (declare-const tptp.setukpairinjL2 Bool) % 0.40/0.72 (declare-const tptp.upairsubunion Bool) % 0.40/0.72 (declare-const tptp.upairset2E Bool) % 0.40/0.72 (declare-const tptp.singletoninpowunion Bool) % 0.40/0.72 (declare-const tptp.singletoninpowerset Bool) % 0.40/0.72 (declare-const tptp.kpairp Bool) % 0.40/0.72 (declare-const tptp.secondinupair Bool) % 0.40/0.72 (declare-const tptp.symdiffIneg2 Bool) % 0.40/0.72 (declare-const tptp.symdiffI2 Bool) % 0.40/0.72 (declare-const tptp.symdiffI1 Bool) % 0.40/0.72 (declare-const tptp.setunionsingleton2 Bool) % 0.40/0.72 (declare-const tptp.setminusIRneg Bool) % 0.40/0.72 (declare-const tptp.setminusILneg Bool) % 0.40/0.72 (declare-const tptp.setminusERneg Bool) % 0.40/0.72 (declare-const tptp.setminusI Bool) % 0.40/0.72 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.quantDeMorgan1 Bool) % 0.40/0.72 (declare-const tptp.sepSubset Bool) % 0.40/0.72 (declare-const tptp.emptyE1 Bool) % 0.40/0.72 (declare-const tptp.inPowerset Bool) % 0.40/0.72 (declare-const tptp.upairsetIR Bool) % 0.40/0.72 (declare-const tptp.setunion__Cong Bool) % 0.40/0.72 (declare-const tptp.powersetE1 Bool) % 0.40/0.72 (declare-const tptp.singletonsswitch Bool) % 0.40/0.72 (declare-const tptp.subset2powerset Bool) % 0.40/0.72 (declare-const tptp.notinsingleton Bool) % 0.40/0.72 (declare-const tptp.subPowSU Bool) % 0.40/0.72 (declare-const tptp.kfstpairEq Bool) % 0.40/0.72 (declare-const tptp.binintersectSubset5 Bool) % 0.40/0.72 (declare-const tptp.exuE1 Bool) % 0.40/0.72 (declare-const tptp.theprop Bool) % 0.40/0.72 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.setunionI Bool) % 0.40/0.72 (declare-const tptp.notdexE Bool) % 0.40/0.72 (declare-const tptp.powersetE Bool) % 0.40/0.72 (declare-const tptp.omegaSAx Bool) % 0.40/0.72 (declare-const tptp.setadjoinE Bool) % 0.40/0.72 (declare-const tptp.emptyinunitempty Bool) % 0.40/0.72 (declare-const tptp.setminusEL Bool) % 0.40/0.72 (declare-const tptp.descr__Cong Bool) % 0.40/0.72 (declare-const tptp.nonemptyI1 Bool) % 0.40/0.72 (declare-const tptp.emptysetAx Bool) % 0.40/0.72 (declare-const tptp.nonemptyI Bool) % 0.40/0.72 (declare-const tptp.upairsetIL Bool) % 0.40/0.72 (declare-const tptp.powersetI1 Bool) % 0.40/0.72 (declare-const tptp.eqinunit Bool) % 0.40/0.72 (declare-const tptp.upairequniteq Bool) % 0.40/0.72 (declare-const tptp.upairsetE Bool) % 0.40/0.72 (declare-const tptp.replAx Bool) % 0.40/0.72 (declare-const tptp.powersetI Bool) % 0.40/0.72 (declare-const tptp.setukpairIR Bool) % 0.40/0.72 (declare-const tptp.quantDeMorgan4 Bool) % 0.40/0.72 (declare-const tptp.setunionE Bool) % 0.40/0.72 (declare-const tptp.omegaIndAx Bool) % 0.40/0.72 (declare-const tptp.setunionAx Bool) % 0.40/0.72 (declare-const tptp.setoftrueEq Bool) % 0.40/0.72 (declare-const tptp.foundationAx Bool) % 0.40/0.72 (declare-const tptp.emptysetimpfalse Bool) % 0.40/0.72 (declare-const tptp.setunionsingleton1 Bool) % 0.40/0.72 (declare-const tptp.setminusELneg Bool) % 0.40/0.72 (declare-const tptp.powersetAx Bool) % 0.40/0.72 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.emptyI Bool) % 0.40/0.72 (declare-const tptp.subsetemptysetimpeq Bool) % 0.40/0.72 (declare-const tptp.setminusER Bool) % 0.40/0.72 (declare-const tptp.setadjoinAx Bool) % 0.40/0.72 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.omega $$unsorted) % 0.40/0.72 (declare-const tptp.emptyInPowerset Bool) % 0.40/0.72 (declare-const tptp.eqimpsubset1 Bool) % 0.40/0.72 (declare-const tptp.binunionE Bool) % 0.40/0.72 (declare-const tptp.dsetconstrER Bool) % 0.40/0.72 (declare-const tptp.notdallE Bool) % 0.40/0.72 (declare-const tptp.binunionRsub Bool) % 0.40/0.72 (declare-const tptp.exuE2 Bool) % 0.40/0.72 (declare-const tptp.setminusSubset2 Bool) % 0.40/0.72 (declare-const tptp.dsetconstr__Cong Bool) % 0.40/0.72 (declare-const tptp.setadjoinIR Bool) % 0.40/0.72 (declare-const tptp.notinemptyset Bool) % 0.40/0.72 (declare-const tptp.subsetRefl Bool) % 0.40/0.72 (declare-const tptp.uniqinunit Bool) % 0.40/0.72 (declare-const tptp.exuE3u Bool) % 0.40/0.72 (declare-const tptp.subsetTrans Bool) % 0.40/0.72 (declare-const tptp.wellorderingAx Bool) % 0.40/0.72 (declare-const tptp.setukpairIL Bool) % 0.40/0.72 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.40/0.72 (declare-const tptp.vacuousDall Bool) % 0.40/0.72 (declare-const tptp.sepInPowerset Bool) % 0.40/0.72 (declare-const tptp.nonemptyImpWitness Bool) % 0.40/0.72 (declare-const tptp.binintersectLsub Bool) % 0.40/0.72 (declare-const tptp.setadjoinOr Bool) % 0.40/0.72 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.upairset2IR Bool) % 0.40/0.72 (declare-const tptp.dsetconstrI Bool) % 0.40/0.72 (declare-const tptp.setminusSubset1 Bool) % 0.40/0.72 (declare-const tptp.emptyinPowerset Bool) % 0.40/0.72 (declare-const tptp.kpairiskpair Bool) % 0.40/0.72 (declare-const tptp.prop2setI Bool) % 0.40/0.72 (declare-const tptp.dsetconstrEL Bool) % 0.40/0.72 (declare-const tptp.prop2set2propI Bool) % 0.40/0.72 (declare-const tptp.binunionLsub Bool) % 0.40/0.72 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.40/0.72 (declare-const tptp.exuI2 Bool) % 0.40/0.72 (declare-const tptp.prop2setE Bool) % 0.40/0.72 (declare-const tptp.exuEu Bool) % 0.40/0.72 (declare-const tptp.setadjoinIL Bool) % 0.40/0.72 (declare-const tptp.omega__Cong Bool) % 0.40/0.72 (declare-const tptp.emptysetE Bool) % 0.40/0.72 (declare-const tptp.symdiffIneg1 Bool) % 0.40/0.72 (declare-const tptp.notequalI1 Bool) % 0.40/0.72 (declare-const tptp.noeltsimpempty Bool) % 0.40/0.72 (declare-const tptp.singletonsuniq Bool) % 0.40/0.72 (declare-const tptp.quantDeMorgan2 Bool) % 0.40/0.72 (declare-const tptp.subsetI1 Bool) % 0.40/0.72 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.40/0.72 (declare-const tptp.subsetE Bool) % 0.40/0.72 (declare-const tptp.exuI3 Bool) % 0.40/0.72 (declare-const tptp.subsetE2 Bool) % 0.40/0.72 (declare-const tptp.inCongP Bool) % 0.40/0.72 (declare-const tptp.in__Cong Bool) % 0.40/0.72 (declare-const tptp.exu__Cong Bool) % 0.40/0.72 (declare-const tptp.exuE3e Bool) % 0.40/0.72 (declare-const tptp.binintersectSubset3 Bool) % 0.40/0.72 (declare-const tptp.setukpairinjR1 Bool) % 0.40/0.72 (declare-const tptp.setadjoin__Cong Bool) % 0.40/0.72 (declare-const tptp.emptyset__Cong Bool) % 0.40/0.72 (declare-const tptp.binintersectRsub Bool) % 0.40/0.72 (declare-const tptp.nonemptyE1 Bool) % 0.40/0.72 (declare-const tptp.setextAx Bool) % 0.40/0.72 (declare-const tptp.powerset__Cong Bool) % 0.40/0.72 (declare-const tptp.bs114d Bool) % 0.40/0.72 (declare-const tptp.setunionsingleton Bool) % 0.40/0.72 (declare-const tptp.setminusLsub Bool) % 0.40/0.72 (declare-const tptp.eqimpsubset2 Bool) % 0.40/0.72 (declare-const tptp.symdiffE Bool) % 0.40/0.72 (declare-const tptp.omega0Ax Bool) % 0.40/0.72 (declare-const tptp.subsetI2 Bool) % 0.40/0.72 (declare-const tptp.emptysetsubset Bool) % 0.40/0.72 (declare-const tptp.notsubsetI Bool) % 0.40/0.72 (declare-const tptp.notequalI2 Bool) % 0.40/0.72 (declare-const tptp.setadjoinSub Bool) % 0.40/0.72 (declare-const tptp.setadjoinSub2 Bool) % 0.40/0.72 (declare-const tptp.setukpairinjR11 Bool) % 0.40/0.72 (declare-const tptp.disjointsetsI1 Bool) % 0.40/0.72 (declare-const tptp.setextsub Bool) % 0.40/0.72 (declare-const tptp.setbeta Bool) % 0.40/0.72 (declare-const tptp.binintersectSubset4 Bool) % 0.40/0.72 (declare-const tptp.powersetsubset Bool) % 0.40/0.72 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.72 (declare-const tptp.binunionIL Bool) % 0.40/0.72 (declare-const tptp.binunionIR Bool) % 0.40/0.72 (declare-const tptp.descrp Bool) % 0.40/0.72 (declare-const tptp.quantDeMorgan3 Bool) % 0.40/0.72 (declare-const tptp.binunionEcases Bool) % 0.40/0.72 (declare-const tptp.singletonsubset Bool) % 0.40/0.72 (declare-const tptp.exuI1 Bool) % 0.40/0.72 (declare-const tptp.binintersectI Bool) % 0.40/0.72 (declare-const tptp.binintersectEL Bool) % 0.40/0.72 (declare-const tptp.binintersectSubset2 Bool) % 0.40/0.72 (declare-const tptp.ubforcartprodlem1 Bool) % 0.40/0.72 (declare-const tptp.setext Bool) % 0.40/0.72 (declare-const tptp.binintersectER Bool) % 0.40/0.72 (declare-const tptp.binintersectSubset1 Bool) % 0.40/0.72 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.40/0.72 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.40/0.72 (define tptp.iskpair () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.setadjoin _let_2))) (let ((_let_4 (@var "A" $$unsorted))) (let ((_let_5 (_ tptp.setunion _let_4))) (lambda (@list _let_4) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_5) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_5) (= _let_4 (_ (_ tptp.setadjoin (_ _let_3 tptp.emptyset)) (_ (_ tptp.setadjoin (_ _let_3 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))) tptp.emptyset)))))))))))))) % 0.40/0.72 (define tptp.kpair () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.setadjoin _let_2))) (lambda (@list _let_2 _let_1) (_ (_ tptp.setadjoin (_ _let_3 tptp.emptyset)) (_ (_ tptp.setadjoin (_ _let_3 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))) tptp.emptyset))))))) % 0.40/0.72 (define tptp.singleton () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_2) (= _let_2 (_ (_ tptp.setadjoin _let_1) tptp.emptyset)))))))) % 0.40/0.72 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$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))))))))) % 0.40/0.72 (define @t1 () (@var "B" $$unsorted)) % 0.40/0.72 (define @t2 () (@var "A" $$unsorted)) % 0.40/0.72 (define @t3 () (= @t2 @t1)) % 0.40/0.72 (define @t4 () (@var "Xx" $$unsorted)) % 0.40/0.72 (define @t5 () (_ tptp.in @t4)) % 0.40/0.72 (define @t6 () (_ @t5 @t1)) % 0.40/0.72 (define @t7 () (_ @t5 @t2)) % 0.40/0.72 (define @t8 () (@list @t4)) % 0.40/0.72 (define @t9 () (@list @t2 @t1)) % 0.40/0.72 (define @t10 () (_ @t5 tptp.emptyset)) % 0.40/0.72 (define @t11 () (forall @t8 (not @t10))) % 0.40/0.72 (define @t12 () (@var "Xy" $$unsorted)) % 0.40/0.72 (define @t13 () (_ tptp.in @t12)) % 0.40/0.72 (define @t14 () (_ @t13 @t2)) % 0.40/0.72 (define @t15 () (= @t12 @t4)) % 0.40/0.72 (define @t16 () (or @t15 @t14)) % 0.40/0.72 (define @t17 () (_ tptp.setadjoin @t4)) % 0.40/0.72 (define @t18 () (_ @t17 @t2)) % 0.40/0.72 (define @t19 () (_ @t13 @t18)) % 0.40/0.72 (define @t20 () (@list @t4 @t2 @t12)) % 0.40/0.72 (define @t21 () (=> @t6 @t7)) % 0.40/0.72 (define @t22 () (forall @t8 @t21)) % 0.40/0.72 (define @t23 () (_ tptp.powerset @t2)) % 0.40/0.72 (define @t24 () (_ tptp.in @t1)) % 0.40/0.72 (define @t25 () (_ @t24 @t23)) % 0.40/0.72 (define @t26 () (_ @t24 @t2)) % 0.40/0.72 (define @t27 () (@list @t1)) % 0.40/0.72 (define @t28 () (_ tptp.setunion @t2)) % 0.40/0.72 (define @t29 () (_ @t5 @t28)) % 0.40/0.72 (define @t30 () (@list @t2 @t4)) % 0.40/0.72 (define @t31 () (_ tptp.in tptp.emptyset)) % 0.40/0.72 (define @t32 () (_ tptp.in (_ @t17 @t4))) % 0.40/0.72 (define @t33 () (_ @t5 tptp.omega)) % 0.40/0.72 (define @t34 () (@list @t2)) % 0.40/0.72 (define @t35 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.40/0.72 (define @t36 () (@list @t12)) % 0.40/0.72 (define @t37 () (exists @t8 @t7)) % 0.40/0.72 (define @t38 () (@var "E" $$unsorted)) % 0.40/0.72 (define @t39 () (@var "D" $$unsorted)) % 0.40/0.72 (define @t40 () (_ @t13 @t39)) % 0.40/0.72 (define @t41 () (@var "C" $$unsorted)) % 0.40/0.72 (define @t42 () (_ @t13 @t41)) % 0.40/0.72 (define @t43 () (_ @t5 @t41)) % 0.40/0.72 (define @t44 () (_ (_ tptp.in @t39) @t1)) % 0.40/0.72 (define @t45 () (forall @t8 (=> @t43 @t7))) % 0.40/0.72 (define @t46 () (@list @t41)) % 0.40/0.72 (define @t47 () (_ @t5 @t39)) % 0.40/0.72 (define @t48 () (_ (_ tptp.in @t41) @t1)) % 0.40/0.72 (define @t49 () (= @t4 @t12)) % 0.40/0.72 (define @t50 () (@list @t4 @t12)) % 0.40/0.72 (define @t51 () (@var "Xphi" (-> $$unsorted Bool))) % 0.40/0.72 (define @t52 () (_ @t51 @t4)) % 0.40/0.72 (define @t53 () (lambda @t8 @t52)) % 0.40/0.72 (define @t54 () (_ tptp.descr @t53)) % 0.40/0.72 (define @t55 () (_ tptp.exu @t53)) % 0.40/0.72 (define @t56 () (@list @t51)) % 0.40/0.72 (define @t57 () (_ @t51 @t12)) % 0.40/0.72 (define @t58 () (lambda @t36 @t57)) % 0.40/0.72 (define @t59 () (_ tptp.dsetconstr @t2)) % 0.40/0.72 (define @t60 () (_ @t59 @t58)) % 0.40/0.72 (define @t61 () (_ @t5 @t60)) % 0.40/0.72 (define @t62 () (@list @t2 @t51 @t4)) % 0.40/0.72 (define @t63 () (=> @t57 @t49)) % 0.40/0.72 (define @t64 () (exists @t8 (and @t52 (forall @t36 @t63)))) % 0.40/0.72 (define @t65 () (@var "Xphi" Bool)) % 0.40/0.72 (define @t66 () (_ tptp.prop2set @t65)) % 0.40/0.72 (define @t67 () (@list @t65)) % 0.40/0.72 (define @t68 () (exists @t8 @t52)) % 0.40/0.72 (define @t69 () (=> @t7 @t6)) % 0.40/0.72 (define @t70 () (forall @t8 @t69)) % 0.40/0.72 (define @t71 () (= @t2 tptp.emptyset)) % 0.40/0.72 (define @t72 () (not @t7)) % 0.40/0.72 (define @t73 () (forall @t34 (=> (forall @t8 @t72) @t71))) % 0.40/0.72 (define @t74 () (_ tptp.nonempty @t2)) % 0.40/0.72 (define @t75 () (forall @t34 (_ @t31 @t23))) % 0.40/0.72 (define @t76 () (@list @t2 @t1 @t4)) % 0.40/0.72 (define @t77 () (@list @t2 @t4 @t1)) % 0.40/0.72 (define @t78 () (exists @t8 (forall @t36 (= @t57 @t15)))) % 0.40/0.72 (define @t79 () (_ tptp.setadjoin @t12)) % 0.40/0.72 (define @t80 () (_ @t79 tptp.emptyset)) % 0.40/0.72 (define @t81 () (_ @t5 @t80)) % 0.40/0.72 (define @t82 () (_ @t17 tptp.emptyset)) % 0.40/0.72 (define @t83 () (_ @t13 @t82)) % 0.40/0.72 (define @t84 () (@var "Xz" $$unsorted)) % 0.40/0.72 (define @t85 () (_ @t17 @t80)) % 0.40/0.72 (define @t86 () (@list @t4 @t12 @t84)) % 0.40/0.72 (define @t87 () (forall @t86 (=> (_ (_ tptp.in @t84) @t85) (or (= @t84 @t4) (= @t84 @t12))))) % 0.40/0.72 (define @t88 () (forall @t50 (_ @t13 @t85))) % 0.40/0.72 (define @t89 () (_ @t59 @t53)) % 0.40/0.72 (define @t90 () (exists @t8 (and @t7 @t52))) % 0.40/0.72 (define @t91 () (@list @t2 @t51)) % 0.40/0.72 (define @t92 () (not @t52)) % 0.40/0.72 (define @t93 () (exists @t8 (and @t7 @t92))) % 0.40/0.72 (define @t94 () (not (forall @t8 (=> @t7 @t52)))) % 0.40/0.72 (define @t95 () (forall @t91 (=> @t94 @t93))) % 0.40/0.72 (define @t96 () (not @t90)) % 0.40/0.72 (define @t97 () (forall @t8 (=> @t7 @t92))) % 0.40/0.72 (define @t98 () (forall @t91 (=> @t96 @t97))) % 0.40/0.72 (define @t99 () (=> @t52 @t63)) % 0.40/0.72 (define @t100 () (forall @t50 @t99)) % 0.40/0.72 (define @t101 () (_ @t13 @t1)) % 0.40/0.72 (define @t102 () (forall @t56 (=> @t55 @t100))) % 0.40/0.72 (define @t103 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.40/0.72 (define @t104 () (lambda @t8 (_ @t103 @t4))) % 0.40/0.72 (define @t105 () (_ tptp.exu @t104)) % 0.40/0.72 (define @t106 () (=> @t49 (= @t52 (_ @t103 @t12)))) % 0.40/0.72 (define @t107 () (forall @t50 @t106)) % 0.40/0.72 (define @t108 () (@list @t51 @t103)) % 0.40/0.72 (define @t109 () (@var "Xu" $$unsorted)) % 0.40/0.72 (define @t110 () (= @t84 @t109)) % 0.40/0.72 (define @t111 () (_ tptp.powerset @t1)) % 0.40/0.72 (define @t112 () (_ tptp.subset @t2)) % 0.40/0.72 (define @t113 () (_ @t112 @t1)) % 0.40/0.72 (define @t114 () (forall @t9 (=> @t70 @t113))) % 0.40/0.72 (define @t115 () (_ tptp.subset @t1)) % 0.40/0.72 (define @t116 () (_ @t115 @t2)) % 0.40/0.72 (define @t117 () (not @t6)) % 0.40/0.72 (define @t118 () (=> @t117 @t72)) % 0.40/0.72 (define @t119 () (not @t113)) % 0.40/0.72 (define @t120 () (not @t3)) % 0.40/0.72 (define @t121 () (@list @t2 @t1 @t41)) % 0.40/0.72 (define @t122 () (_ tptp.in @t2)) % 0.40/0.72 (define @t123 () (_ (_ tptp.binunion @t2) @t1)) % 0.40/0.72 (define @t124 () (_ @t5 @t123)) % 0.40/0.72 (define @t125 () (=> @t6 @t65)) % 0.40/0.72 (define @t126 () (_ tptp.binintersect @t2)) % 0.40/0.72 (define @t127 () (_ @t126 @t1)) % 0.40/0.72 (define @t128 () (_ @t5 @t127)) % 0.40/0.72 (define @t129 () (_ tptp.subset @t41)) % 0.40/0.72 (define @t130 () (_ tptp.subset @t127)) % 0.40/0.72 (define @t131 () (= @t127 @t2)) % 0.40/0.72 (define @t132 () (= @t127 @t1)) % 0.40/0.72 (define @t133 () (_ (_ tptp.setminus @t2) @t1)) % 0.40/0.72 (define @t134 () (_ @t5 @t133)) % 0.40/0.72 (define @t135 () (= @t133 tptp.emptyset)) % 0.40/0.72 (define @t136 () (not @t134)) % 0.40/0.72 (define @t137 () (_ @t5 (_ (_ tptp.symdiff @t2) @t1))) % 0.40/0.72 (define @t138 () (not @t137)) % 0.40/0.72 (define @t139 () (_ (_ tptp.setadjoin @t85) tptp.emptyset)) % 0.40/0.72 (define @t140 () (_ tptp.setadjoin @t82)) % 0.40/0.72 (define @t141 () (_ @t140 @t139)) % 0.40/0.72 (define @t142 () (_ tptp.setunion @t141)) % 0.40/0.72 (define @t143 () (_ (_ tptp.kpair @t4) @t12)) % 0.40/0.72 (define @t144 () (_ tptp.in @t82)) % 0.40/0.72 (define @t145 () (_ tptp.powerset @t123)) % 0.40/0.72 (define @t146 () (_ tptp.powerset @t145)) % 0.40/0.72 (define @t147 () (_ tptp.in @t143)) % 0.40/0.72 (define @t148 () (_ (_ tptp.cartprod @t2) @t1)) % 0.40/0.72 (define @t149 () (_ (_ tptp.in @t109) @t148)) % 0.40/0.72 (define @t150 () (@list @t2 @t1 @t109)) % 0.40/0.72 (define @t151 () (_ tptp.iskpair @t109)) % 0.40/0.72 (define @t152 () (@var "X" $$unsorted)) % 0.40/0.72 (define @t153 () (@list @t152)) % 0.40/0.72 (define @t154 () (_ tptp.setunion (_ (_ tptp.setadjoin @t2) tptp.emptyset))) % 0.40/0.72 (define @t155 () (_ tptp.singleton @t89)) % 0.40/0.72 (define @t156 () (forall @t8 (=> @t7 (forall @t36 (=> @t14 @t99))))) % 0.40/0.72 (define @t157 () (_ tptp.ex1 @t2)) % 0.40/0.72 (define @t158 () (_ @t157 @t53)) % 0.40/0.72 (define @t159 () (= @t4 @t84)) % 0.40/0.72 (define @t160 () (_ tptp.setadjoin @t84)) % 0.40/0.72 (define @t161 () (_ @t160 tptp.emptyset)) % 0.40/0.72 (define @t162 () (_ (_ tptp.setadjoin @t109) tptp.emptyset)) % 0.40/0.72 (define @t163 () (_ @t160 @t162)) % 0.40/0.72 (define @t164 () (_ (_ tptp.setadjoin @t163) tptp.emptyset)) % 0.40/0.72 (define @t165 () (_ tptp.setadjoin @t161)) % 0.40/0.72 (define @t166 () (_ @t165 @t164)) % 0.40/0.72 (define @t167 () (= @t141 @t166)) % 0.40/0.72 (define @t168 () (@list @t4 @t12 @t84 @t109)) % 0.40/0.72 (define @t169 () (= @t143 (_ (_ tptp.kpair @t84) @t109))) % 0.40/0.72 (define @t170 () (= @t12 @t109)) % 0.40/0.72 (define @t171 () (forall @t168 (=> @t167 @t170))) % 0.40/0.72 (define @t172 () (= tptp.setukpairinjR2 @t171)) % 0.40/0.72 (define @t173 () (=> @t169 @t170)) % 0.40/0.72 (define @t174 () (forall @t168 @t173)) % 0.40/0.72 (define @t175 () (=> tptp.setukpairinjR2 @t174)) % 0.40/0.72 (define @t176 () (=> tptp.upairequniteq @t175)) % 0.40/0.72 (define @t177 () (=> tptp.setukpairinjR1 @t176)) % 0.40/0.72 (define @t178 () (=> tptp.setukpairinjR12 @t177)) % 0.40/0.72 (define @t179 () (=> tptp.setukpairinjR11 @t178)) % 0.40/0.72 (define @t180 () (=> tptp.setukpairinjL @t179)) % 0.40/0.72 (define @t181 () (=> tptp.setukpairinjL2 @t180)) % 0.40/0.72 (define @t182 () (=> tptp.cartprodfstin @t181)) % 0.40/0.72 (define @t183 () (=> tptp.kfstpairEq @t182)) % 0.40/0.72 (define @t184 () (=> tptp.theprop @t183)) % 0.40/0.72 (define @t185 () (=> tptp.kfstsingleton @t184)) % 0.40/0.72 (define @t186 () (=> tptp.setukpairinjL1 @t185)) % 0.40/0.72 (define @t187 () (=> tptp.singletonsuniq @t186)) % 0.40/0.72 (define @t188 () (=> tptp.ex1I2 @t187)) % 0.40/0.72 (define @t189 () (=> tptp.ex1I @t188)) % 0.40/0.72 (define @t190 () (=> tptp.ex1E1 @t189)) % 0.40/0.72 (define @t191 () (=> tptp.singletonprop @t190)) % 0.40/0.72 (define @t192 () (=> tptp.setunionsingleton @t191)) % 0.40/0.72 (define @t193 () (=> tptp.setunionsingleton2 @t192)) % 0.40/0.72 (define @t194 () (=> tptp.setunionsingleton1 @t193)) % 0.40/0.72 (define @t195 () (=> tptp.setunionE2 @t194)) % 0.40/0.72 (define @t196 () (=> tptp.cartprodmempair @t195)) % 0.40/0.72 (define @t197 () (=> tptp.cartprodmempair1 @t196)) % 0.40/0.72 (define @t198 () (=> tptp.cartprodpairin @t197)) % 0.40/0.72 (define @t199 () (=> tptp.ubforcartprodlem3 @t198)) % 0.40/0.72 (define @t200 () (=> tptp.ubforcartprodlem2 @t199)) % 0.40/0.72 (define @t201 () (=> tptp.ubforcartprodlem1 @t200)) % 0.40/0.72 (define @t202 () (=> tptp.upairinpowunion @t201)) % 0.40/0.72 (define @t203 () (=> tptp.upairsubunion @t202)) % 0.40/0.72 (define @t204 () (=> tptp.upairset2E @t203)) % 0.40/0.72 (define @t205 () (=> tptp.singletoninpowunion @t204)) % 0.40/0.72 (define @t206 () (=> tptp.singletoninpowerset @t205)) % 0.40/0.72 (define @t207 () (=> tptp.singletonsubset @t206)) % 0.40/0.72 (define @t208 () (=> tptp.kpairp @t207)) % 0.40/0.72 (define @t209 () (=> tptp.kpairiskpair @t208)) % 0.40/0.72 (define @t210 () (=> tptp.setukpairIR @t209)) % 0.40/0.72 (define @t211 () (=> tptp.setukpairIL @t210)) % 0.40/0.72 (define @t212 () (=> tptp.secondinupair @t211)) % 0.40/0.72 (define @t213 () (=> tptp.symdiffIneg2 @t212)) % 0.40/0.72 (define @t214 () (=> tptp.symdiffIneg1 @t213)) % 0.40/0.72 (define @t215 () (=> tptp.symdiffI2 @t214)) % 0.40/0.72 (define @t216 () (=> tptp.symdiffI1 @t215)) % 0.40/0.72 (define @t217 () (=> tptp.symdiffE @t216)) % 0.40/0.72 (define @t218 () (=> tptp.setminusSubset1 @t217)) % 0.40/0.72 (define @t219 () (=> tptp.setminusLsub @t218)) % 0.40/0.72 (define @t220 () (=> tptp.setminusIRneg @t219)) % 0.40/0.72 (define @t221 () (=> tptp.setminusILneg @t220)) % 0.40/0.72 (define @t222 () (=> tptp.setminusELneg @t221)) % 0.40/0.72 (define @t223 () (=> tptp.setminusERneg @t222)) % 0.40/0.72 (define @t224 () (=> tptp.setminusSubset2 @t223)) % 0.40/0.72 (define @t225 () (=> tptp.setminusER @t224)) % 0.40/0.72 (define @t226 () (=> tptp.setminusEL @t225)) % 0.40/0.72 (define @t227 () (=> tptp.setminusI @t226)) % 0.40/0.72 (define @t228 () (=> tptp.bs114d @t227)) % 0.40/0.72 (define @t229 () (=> tptp.binintersectSubset1 @t228)) % 0.40/0.72 (define @t230 () (=> tptp.binintersectSubset4 @t229)) % 0.40/0.72 (define @t231 () (=> tptp.binintersectRsub @t230)) % 0.40/0.72 (define @t232 () (=> tptp.disjointsetsI1 @t231)) % 0.40/0.72 (define @t233 () (=> tptp.binintersectER @t232)) % 0.40/0.72 (define @t234 () (=> tptp.binintersectSubset3 @t233)) % 0.40/0.72 (define @t235 () (=> tptp.binintersectSubset2 @t234)) % 0.40/0.72 (define @t236 () (=> tptp.binintersectLsub @t235)) % 0.40/0.72 (define @t237 () (=> tptp.binintersectEL @t236)) % 0.40/0.72 (define @t238 () (=> tptp.binintersectSubset5 @t237)) % 0.40/0.72 (define @t239 () (=> tptp.binintersectI @t238)) % 0.40/0.72 (define @t240 () (=> tptp.binunionRsub @t239)) % 0.40/0.72 (define @t241 () (=> tptp.binunionLsub @t240)) % 0.40/0.72 (define @t242 () (=> tptp.binunionE @t241)) % 0.40/0.72 (define @t243 () (=> tptp.binunionEcases @t242)) % 0.40/0.72 (define @t244 () (=> tptp.binunionIR @t243)) % 0.40/0.72 (define @t245 () (=> tptp.upairset2IR @t244)) % 0.40/0.72 (define @t246 () (=> tptp.binunionIL @t245)) % 0.40/0.72 (define @t247 () (=> tptp.sepSubset @t246)) % 0.40/0.72 (define @t248 () (=> tptp.sepInPowerset @t247)) % 0.40/0.72 (define @t249 () (=> tptp.powersetsubset @t248)) % 0.40/0.72 (define @t250 () (=> tptp.inPowerset @t249)) % 0.40/0.72 (define @t251 () (=> tptp.powersetE1 @t250)) % 0.40/0.72 (define @t252 () (=> tptp.powersetI1 @t251)) % 0.40/0.72 (define @t253 () (=> tptp.subsetemptysetimpeq @t252)) % 0.40/0.72 (define @t254 () (=> tptp.setextsub @t253)) % 0.40/0.72 (define @t255 () (=> tptp.subset2powerset @t254)) % 0.40/0.72 (define @t256 () (=> tptp.setadjoinSub2 @t255)) % 0.40/0.72 (define @t257 () (=> tptp.setadjoinSub @t256)) % 0.40/0.72 (define @t258 () (=> tptp.subsetTrans @t257)) % 0.40/0.72 (define @t259 () (=> tptp.subsetRefl @t258)) % 0.40/0.72 (define @t260 () (=> tptp.notequalI2 @t259)) % 0.40/0.72 (define @t261 () (=> tptp.notequalI1 @t260)) % 0.40/0.72 (define @t262 () (=> tptp.notsubsetI @t261)) % 0.40/0.72 (define @t263 () (=> tptp.subsetE2 @t262)) % 0.40/0.72 (define @t264 () (=> tptp.subsetE @t263)) % 0.40/0.72 (define @t265 () (=> tptp.emptysetsubset @t264)) % 0.40/0.72 (define @t266 () (=> tptp.subsetI2 @t265)) % 0.40/0.72 (define @t267 () (=> tptp.eqimpsubset1 @t266)) % 0.40/0.72 (define @t268 () (=> tptp.eqimpsubset2 @t267)) % 0.40/0.72 (define @t269 () (=> tptp.subsetI1 @t268)) % 0.40/0.72 (define @t270 () (=> tptp.dsetconstr__Cong @t269)) % 0.40/0.72 (define @t271 () (=> tptp.descr__Cong @t270)) % 0.40/0.72 (define @t272 () (=> tptp.exuEu @t271)) % 0.40/0.72 (define @t273 () (=> tptp.omega__Cong @t272)) % 0.40/0.72 (define @t274 () (=> tptp.setunion__Cong @t273)) % 0.40/0.72 (define @t275 () (=> tptp.powerset__Cong @t274)) % 0.40/0.72 (define @t276 () (=> tptp.setadjoin__Cong @t275)) % 0.40/0.72 (define @t277 () (=> tptp.emptyset__Cong @t276)) % 0.40/0.72 (define @t278 () (=> tptp.exu__Cong @t277)) % 0.40/0.72 (define @t279 () (=> tptp.exuE3u @t278)) % 0.40/0.72 (define @t280 () (=> tptp.in__Cong @t279)) % 0.40/0.72 (define @t281 () (=> tptp.inCongP @t280)) % 0.40/0.72 (define @t282 () (=> tptp.exuI2 @t281)) % 0.40/0.72 (define @t283 () (=> tptp.exuI3 @t282)) % 0.40/0.72 (define @t284 () (=> tptp.exuI1 @t283)) % 0.40/0.72 (define @t285 () (=> tptp.notdallE @t284)) % 0.40/0.72 (define @t286 () (=> tptp.notdexE @t285)) % 0.40/0.72 (define @t287 () (=> tptp.prop2set2propI @t286)) % 0.40/0.72 (define @t288 () (=> tptp.prop2setI @t287)) % 0.40/0.72 (define @t289 () (=> tptp.quantDeMorgan4 @t288)) % 0.40/0.72 (define @t290 () (=> tptp.quantDeMorgan3 @t289)) % 0.40/0.72 (define @t291 () (=> tptp.quantDeMorgan2 @t290)) % 0.40/0.72 (define @t292 () (=> tptp.quantDeMorgan1 @t291)) % 0.40/0.72 (define @t293 () (=> tptp.vacuousDall @t292)) % 0.40/0.72 (define @t294 () (=> tptp.emptyE1 @t293)) % 0.40/0.72 (define @t295 () (=> tptp.upairsetIR @t294)) % 0.40/0.72 (define @t296 () (=> tptp.upairsetIL @t295)) % 0.40/0.72 (define @t297 () (=> tptp.upairsetE @t296)) % 0.40/0.72 (define @t298 () (=> tptp.singletonsswitch @t297)) % 0.40/0.72 (define @t299 () (=> tptp.eqinunit @t298)) % 0.40/0.72 (define @t300 () (=> tptp.notinsingleton @t299)) % 0.40/0.72 (define @t301 () (=> tptp.uniqinunit @t300)) % 0.40/0.72 (define @t302 () (=> tptp.nonemptyImpWitness @t301)) % 0.40/0.72 (define @t303 () (=> tptp.exuE2 @t302)) % 0.40/0.72 (define @t304 () (=> tptp.subPowSU @t303)) % 0.40/0.72 (define @t305 () (=> tptp.setunionE @t304)) % 0.40/0.72 (define @t306 () (=> tptp.setunionI @t305)) % 0.40/0.72 (define @t307 () (=> tptp.powersetE @t306)) % 0.40/0.72 (define @t308 () (=> tptp.emptyInPowerset @t307)) % 0.40/0.72 (define @t309 () (=> tptp.emptyinPowerset @t308)) % 0.40/0.72 (define @t310 () (=> tptp.powersetI @t309)) % 0.40/0.72 (define @t311 () (=> tptp.setoftrueEq @t310)) % 0.40/0.72 (define @t312 () (=> tptp.setadjoinOr @t311)) % 0.40/0.72 (define @t313 () (=> tptp.setadjoinE @t312)) % 0.40/0.72 (define @t314 () (=> tptp.setadjoinIR @t313)) % 0.40/0.72 (define @t315 () (=> tptp.emptyinunitempty @t314)) % 0.40/0.72 (define @t316 () (=> tptp.setadjoinIL @t315)) % 0.40/0.72 (define @t317 () (=> tptp.nonemptyI1 @t316)) % 0.40/0.72 (define @t318 () (=> tptp.nonemptyI @t317)) % 0.40/0.72 (define @t319 () (=> tptp.nonemptyE1 @t318)) % 0.40/0.72 (define @t320 () (=> tptp.setbeta @t319)) % 0.40/0.72 (define @t321 () (=> tptp.noeltsimpempty @t320)) % 0.40/0.72 (define @t322 () (=> tptp.emptyI @t321)) % 0.40/0.72 (define @t323 () (=> tptp.setext @t322)) % 0.40/0.72 (define @t324 () (=> tptp.exuE3e @t323)) % 0.40/0.72 (define @t325 () (=> tptp.notinemptyset @t324)) % 0.40/0.72 (define @t326 () (=> tptp.emptysetimpfalse @t325)) % 0.40/0.72 (define @t327 () (=> tptp.emptysetE @t326)) % 0.40/0.72 (define @t328 () (=> tptp.prop2setE @t327)) % 0.40/0.72 (define @t329 () (=> tptp.exuE1 @t328)) % 0.40/0.72 (define @t330 () (=> tptp.dsetconstrER @t329)) % 0.40/0.72 (define @t331 () (=> tptp.dsetconstrEL @t330)) % 0.40/0.72 (define @t332 () (=> tptp.dsetconstrI @t331)) % 0.40/0.72 (define @t333 () (=> tptp.descrp @t332)) % 0.40/0.72 (define @t334 () (=> tptp.wellorderingAx @t333)) % 0.40/0.72 (define @t335 () (=> tptp.foundationAx @t334)) % 0.40/0.72 (define @t336 () (=> tptp.replAx @t335)) % 0.40/0.72 (define @t337 () (=> tptp.omegaIndAx @t336)) % 0.40/0.72 (define @t338 () (=> tptp.omegaSAx @t337)) % 0.40/0.72 (define @t339 () (=> tptp.omega0Ax @t338)) % 0.40/0.72 (define @t340 () (=> tptp.setunionAx @t339)) % 0.40/0.72 (define @t341 () (=> tptp.powersetAx @t340)) % 0.40/0.72 (define @t342 () (=> tptp.setadjoinAx @t341)) % 0.40/0.72 (define @t343 () (=> tptp.emptysetAx @t342)) % 0.40/0.72 (define @t344 () (=> tptp.setextAx @t343)) % 0.40/0.72 (define @t345 () (not @t344)) % 0.40/0.72 (define @t346 () (lambda @t56 @t64)) % 0.40/0.72 (define @t347 () (lambda @t8 (not (= @t4 tptp.emptyset)))) % 0.40/0.72 (define @t348 () (lambda @t34 (exists @t8 (and @t29 (exists @t36 (and (_ @t13 @t28) (= @t2 @t141))))))) % 0.40/0.72 (define @t349 () (lambda @t50 @t141)) % 0.40/0.72 (define @t350 () (lambda @t34 (exists @t8 (and @t7 (= @t2 @t82))))) % 0.40/0.72 (define @t351 () (lambda @t91 @t155)) % 0.40/0.72 (define @t352 () (tptp.setadjoin @t109 tptp.emptyset)) % 0.40/0.72 (define @t353 () (tptp.setadjoin @t84 @t352)) % 0.40/0.72 (define @t354 () (tptp.setadjoin @t353 tptp.emptyset)) % 0.40/0.72 (define @t355 () (tptp.setadjoin @t84 tptp.emptyset)) % 0.40/0.72 (define @t356 () (tptp.setadjoin @t355 @t354)) % 0.40/0.72 (define @t357 () (tptp.setadjoin @t12 tptp.emptyset)) % 0.40/0.72 (define @t358 () (tptp.setadjoin @t4 @t357)) % 0.40/0.72 (define @t359 () (tptp.setadjoin @t358 tptp.emptyset)) % 0.40/0.72 (define @t360 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.40/0.72 (define @t361 () (tptp.setadjoin @t360 @t359)) % 0.40/0.72 (define @t362 () (not @t167)) % 0.40/0.72 (define @t363 () (or @t362 @t170)) % 0.40/0.72 (define @t364 () (lambda @t36 (_ @t165 (_ (_ tptp.setadjoin (_ @t160 @t80)) tptp.emptyset)))) % 0.40/0.72 (define @t365 () (_ @t349 @t84)) % 0.40/0.72 (define @t366 () (lambda @t36 @t141)) % 0.40/0.72 (define @t367 () (_ @t349 @t4)) % 0.40/0.72 (define @t368 () (= (_ @t367 @t12) (_ @t365 @t109))) % 0.40/0.72 (define @t369 () (=> @t368 @t170)) % 0.40/0.72 (define @t370 () (forall @t168 @t369)) % 0.40/0.72 (define @t371 () (=> tptp.setukpairinjR2 @t370)) % 0.40/0.72 (define @t372 () (=> tptp.upairequniteq @t371)) % 0.40/0.72 (define @t373 () (=> tptp.setukpairinjR1 @t372)) % 0.40/0.72 (define @t374 () (=> tptp.setukpairinjR12 @t373)) % 0.40/0.72 (define @t375 () (=> tptp.setukpairinjR11 @t374)) % 0.40/0.72 (define @t376 () (=> tptp.setukpairinjL @t375)) % 0.40/0.72 (define @t377 () (=> tptp.setukpairinjL2 @t376)) % 0.40/0.72 (define @t378 () (=> tptp.cartprodfstin @t377)) % 0.40/0.72 (define @t379 () (=> tptp.kfstpairEq @t378)) % 0.40/0.72 (define @t380 () (=> tptp.theprop @t379)) % 0.40/0.72 (define @t381 () (=> tptp.kfstsingleton @t380)) % 0.40/0.72 (define @t382 () (=> tptp.setukpairinjL1 @t381)) % 0.40/0.72 (define @t383 () (=> tptp.singletonsuniq @t382)) % 0.40/0.72 (define @t384 () (=> tptp.ex1I2 @t383)) % 0.40/0.72 (define @t385 () (=> tptp.ex1I @t384)) % 0.40/0.72 (define @t386 () (=> tptp.ex1E1 @t385)) % 0.40/0.72 (define @t387 () (=> tptp.singletonprop @t386)) % 0.40/0.72 (define @t388 () (=> tptp.setunionsingleton @t387)) % 0.40/0.72 (define @t389 () (=> tptp.setunionsingleton2 @t388)) % 0.40/0.72 (define @t390 () (=> tptp.setunionsingleton1 @t389)) % 0.40/0.72 (define @t391 () (=> tptp.setunionE2 @t390)) % 0.40/0.72 (define @t392 () (=> tptp.cartprodmempair @t391)) % 0.40/0.72 (define @t393 () (=> tptp.cartprodmempair1 @t392)) % 0.40/0.72 (define @t394 () (=> tptp.cartprodpairin @t393)) % 0.40/0.72 (define @t395 () (=> tptp.ubforcartprodlem3 @t394)) % 0.40/0.72 (define @t396 () (=> tptp.ubforcartprodlem2 @t395)) % 0.40/0.72 (define @t397 () (=> tptp.ubforcartprodlem1 @t396)) % 0.40/0.72 (define @t398 () (=> tptp.upairinpowunion @t397)) % 0.40/0.72 (define @t399 () (=> tptp.upairsubunion @t398)) % 0.40/0.72 (define @t400 () (=> tptp.upairset2E @t399)) % 0.40/0.72 (define @t401 () (=> tptp.singletoninpowunion @t400)) % 0.40/0.72 (define @t402 () (=> tptp.singletoninpowerset @t401)) % 0.40/0.72 (define @t403 () (=> tptp.singletonsubset @t402)) % 0.40/0.72 (define @t404 () (=> tptp.kpairp @t403)) % 0.40/0.72 (define @t405 () (=> tptp.kpairiskpair @t404)) % 0.40/0.72 (define @t406 () (=> tptp.setukpairIR @t405)) % 0.40/0.72 (define @t407 () (=> tptp.setukpairIL @t406)) % 0.40/0.72 (define @t408 () (=> tptp.secondinupair @t407)) % 0.40/0.72 (define @t409 () (=> tptp.symdiffIneg2 @t408)) % 0.40/0.72 (define @t410 () (=> tptp.symdiffIneg1 @t409)) % 0.40/0.72 (define @t411 () (=> tptp.symdiffI2 @t410)) % 0.40/0.72 (define @t412 () (=> tptp.symdiffI1 @t411)) % 0.40/0.72 (define @t413 () (=> tptp.symdiffE @t412)) % 0.40/0.72 (define @t414 () (=> tptp.setminusSubset1 @t413)) % 0.40/0.72 (define @t415 () (=> tptp.setminusLsub @t414)) % 0.40/0.72 (define @t416 () (=> tptp.setminusIRneg @t415)) % 0.40/0.72 (define @t417 () (=> tptp.setminusILneg @t416)) % 0.40/0.72 (define @t418 () (=> tptp.setminusELneg @t417)) % 0.40/0.72 (define @t419 () (=> tptp.setminusERneg @t418)) % 0.40/0.72 (define @t420 () (=> tptp.setminusSubset2 @t419)) % 0.40/0.72 (define @t421 () (=> tptp.setminusER @t420)) % 0.40/0.72 (define @t422 () (=> tptp.setminusEL @t421)) % 0.40/0.72 (define @t423 () (=> tptp.setminusI @t422)) % 0.40/0.72 (define @t424 () (=> tptp.bs114d @t423)) % 0.40/0.72 (define @t425 () (=> tptp.binintersectSubset1 @t424)) % 0.40/0.72 (define @t426 () (=> tptp.binintersectSubset4 @t425)) % 0.40/0.72 (define @t427 () (=> tptp.binintersectRsub @t426)) % 0.40/0.72 (define @t428 () (=> tptp.disjointsetsI1 @t427)) % 0.40/0.72 (define @t429 () (=> tptp.binintersectER @t428)) % 0.40/0.72 (define @t430 () (=> tptp.binintersectSubset3 @t429)) % 0.40/0.72 (define @t431 () (=> tptp.binintersectSubset2 @t430)) % 0.40/0.72 (define @t432 () (=> tptp.binintersectLsub @t431)) % 0.40/0.72 (define @t433 () (=> tptp.binintersectEL @t432)) % 0.40/0.72 (define @t434 () (=> tptp.binintersectSubset5 @t433)) % 0.40/0.72 (define @t435 () (=> tptp.binintersectI @t434)) % 0.40/0.72 (define @t436 () (=> tptp.binunionRsub @t435)) % 0.40/0.72 (define @t437 () (=> tptp.binunionLsub @t436)) % 0.40/0.72 (define @t438 () (=> tptp.binunionE @t437)) % 0.40/0.72 (define @t439 () (=> tptp.binunionEcases @t438)) % 0.40/0.72 (define @t440 () (=> tptp.binunionIR @t439)) % 0.40/0.72 (define @t441 () (=> tptp.upairset2IR @t440)) % 0.40/0.72 (define @t442 () (=> tptp.binunionIL @t441)) % 0.40/0.72 (define @t443 () (=> tptp.sepSubset @t442)) % 0.40/0.72 (define @t444 () (=> tptp.sepInPowerset @t443)) % 0.40/0.72 (define @t445 () (=> tptp.powersetsubset @t444)) % 0.40/0.72 (define @t446 () (=> tptp.inPowerset @t445)) % 0.40/0.72 (define @t447 () (=> tptp.powersetE1 @t446)) % 0.40/0.72 (define @t448 () (=> tptp.powersetI1 @t447)) % 0.40/0.72 (define @t449 () (=> tptp.subsetemptysetimpeq @t448)) % 0.40/0.72 (define @t450 () (=> tptp.setextsub @t449)) % 0.40/0.72 (define @t451 () (=> tptp.subset2powerset @t450)) % 0.40/0.72 (define @t452 () (=> tptp.setadjoinSub2 @t451)) % 0.40/0.72 (define @t453 () (=> tptp.setadjoinSub @t452)) % 0.40/0.72 (define @t454 () (=> tptp.subsetTrans @t453)) % 0.40/0.72 (define @t455 () (=> tptp.subsetRefl @t454)) % 0.40/0.72 (define @t456 () (=> tptp.notequalI2 @t455)) % 0.40/0.72 (define @t457 () (=> tptp.notequalI1 @t456)) % 0.40/0.72 (define @t458 () (=> tptp.notsubsetI @t457)) % 0.40/0.72 (define @t459 () (=> tptp.subsetE2 @t458)) % 0.40/0.72 (define @t460 () (=> tptp.subsetE @t459)) % 0.40/0.72 (define @t461 () (=> tptp.emptysetsubset @t460)) % 0.40/0.72 (define @t462 () (=> tptp.subsetI2 @t461)) % 0.40/0.72 (define @t463 () (=> tptp.eqimpsubset1 @t462)) % 0.40/0.72 (define @t464 () (=> tptp.eqimpsubset2 @t463)) % 0.40/0.72 (define @t465 () (=> tptp.subsetI1 @t464)) % 0.40/0.72 (define @t466 () (=> tptp.dsetconstr__Cong @t465)) % 0.40/0.72 (define @t467 () (=> tptp.descr__Cong @t466)) % 0.40/0.72 (define @t468 () (=> tptp.exuEu @t467)) % 0.40/0.72 (define @t469 () (=> tptp.omega__Cong @t468)) % 0.40/0.72 (define @t470 () (=> tptp.setunion__Cong @t469)) % 0.40/0.72 (define @t471 () (=> tptp.powerset__Cong @t470)) % 0.40/0.72 (define @t472 () (=> tptp.setadjoin__Cong @t471)) % 0.40/0.72 (define @t473 () (=> tptp.emptyset__Cong @t472)) % 0.40/0.72 (define @t474 () (=> tptp.exu__Cong @t473)) % 0.40/0.72 (define @t475 () (=> tptp.exuE3u @t474)) % 0.40/0.72 (define @t476 () (=> tptp.in__Cong @t475)) % 0.40/0.72 (define @t477 () (=> tptp.inCongP @t476)) % 0.40/0.72 (define @t478 () (=> tptp.exuI2 @t477)) % 0.40/0.72 (define @t479 () (=> tptp.exuI3 @t478)) % 0.40/0.72 (define @t480 () (=> tptp.exuI1 @t479)) % 0.40/0.72 (define @t481 () (=> tptp.notdallE @t480)) % 0.40/0.72 (define @t482 () (=> tptp.notdexE @t481)) % 0.40/0.72 (define @t483 () (=> tptp.prop2set2propI @t482)) % 0.40/0.72 (define @t484 () (=> tptp.prop2setI @t483)) % 0.40/0.72 (define @t485 () (=> tptp.quantDeMorgan4 @t484)) % 0.40/0.72 (define @t486 () (=> tptp.quantDeMorgan3 @t485)) % 0.40/0.72 (define @t487 () (=> tptp.quantDeMorgan2 @t486)) % 0.40/0.72 (define @t488 () (=> tptp.quantDeMorgan1 @t487)) % 0.40/0.72 (define @t489 () (=> tptp.vacuousDall @t488)) % 0.40/0.72 (define @t490 () (=> tptp.emptyE1 @t489)) % 0.40/0.72 (define @t491 () (=> tptp.upairsetIR @t490)) % 0.40/0.72 (define @t492 () (=> tptp.upairsetIL @t491)) % 0.40/0.72 (define @t493 () (=> tptp.upairsetE @t492)) % 0.40/0.72 (define @t494 () (=> tptp.singletonsswitch @t493)) % 0.40/0.72 (define @t495 () (=> tptp.eqinunit @t494)) % 0.40/0.72 (define @t496 () (=> tptp.notinsingleton @t495)) % 0.40/0.72 (define @t497 () (=> tptp.uniqinunit @t496)) % 0.40/0.72 (define @t498 () (=> tptp.nonemptyImpWitness @t497)) % 0.40/0.72 (define @t499 () (=> tptp.exuE2 @t498)) % 0.40/0.72 (define @t500 () (=> tptp.subPowSU @t499)) % 0.40/0.72 (define @t501 () (=> tptp.setunionE @t500)) % 0.40/0.72 (define @t502 () (=> tptp.setunionI @t501)) % 0.40/0.72 (define @t503 () (=> tptp.powersetE @t502)) % 0.40/0.72 (define @t504 () (=> tptp.emptyInPowerset @t503)) % 0.40/0.72 (define @t505 () (=> tptp.emptyinPowerset @t504)) % 0.40/0.72 (define @t506 () (=> tptp.powersetI @t505)) % 0.40/0.72 (define @t507 () (=> tptp.setoftrueEq @t506)) % 0.40/0.72 (define @t508 () (=> tptp.setadjoinOr @t507)) % 0.40/0.72 (define @t509 () (=> tptp.setadjoinE @t508)) % 0.40/0.72 (define @t510 () (=> tptp.setadjoinIR @t509)) % 0.40/0.72 (define @t511 () (=> tptp.emptyinunitempty @t510)) % 0.40/0.72 (define @t512 () (=> tptp.setadjoinIL @t511)) % 0.40/0.72 (define @t513 () (=> tptp.nonemptyI1 @t512)) % 0.40/0.72 (define @t514 () (=> tptp.nonemptyI @t513)) % 0.40/0.72 (define @t515 () (=> tptp.nonemptyE1 @t514)) % 0.40/0.72 (define @t516 () (=> tptp.setbeta @t515)) % 0.40/0.72 (define @t517 () (=> tptp.noeltsimpempty @t516)) % 0.40/0.72 (define @t518 () (=> tptp.emptyI @t517)) % 0.40/0.72 (define @t519 () (=> tptp.setext @t518)) % 0.40/0.72 (define @t520 () (=> tptp.exuE3e @t519)) % 0.40/0.72 (define @t521 () (=> tptp.notinemptyset @t520)) % 0.40/0.72 (define @t522 () (=> tptp.emptysetimpfalse @t521)) % 0.40/0.72 (define @t523 () (=> tptp.emptysetE @t522)) % 0.40/0.72 (define @t524 () (=> tptp.prop2setE @t523)) % 0.40/0.72 (define @t525 () (=> tptp.exuE1 @t524)) % 0.40/0.72 (define @t526 () (=> tptp.dsetconstrER @t525)) % 0.40/0.72 (define @t527 () (=> tptp.dsetconstrEL @t526)) % 0.40/0.72 (define @t528 () (=> tptp.dsetconstrI @t527)) % 0.40/0.72 (define @t529 () (=> tptp.descrp @t528)) % 0.40/0.72 (define @t530 () (=> tptp.wellorderingAx @t529)) % 0.40/0.72 (define @t531 () (=> tptp.foundationAx @t530)) % 0.40/0.72 (define @t532 () (=> tptp.replAx @t531)) % 0.40/0.72 (define @t533 () (=> tptp.omegaIndAx @t532)) % 0.40/0.72 (define @t534 () (=> tptp.omegaSAx @t533)) % 0.40/0.72 (define @t535 () (=> tptp.omega0Ax @t534)) % 0.40/0.72 (define @t536 () (=> tptp.setunionAx @t535)) % 0.40/0.72 (define @t537 () (=> tptp.powersetAx @t536)) % 0.40/0.72 (define @t538 () (=> tptp.setadjoinAx @t537)) % 0.40/0.72 (define @t539 () (=> tptp.emptysetAx @t538)) % 0.40/0.72 (define @t540 () (=> tptp.setextAx @t539)) % 0.40/0.72 (define @t541 () (forall @t168 (or (not (= @t361 @t356)) @t170))) % 0.40/0.72 (assume @p1 (= tptp.setextAx (forall @t9 (=> (forall @t8 (= @t7 @t6)) @t3)))) % 0.40/0.72 (assume @p2 (= tptp.emptysetAx @t11)) % 0.40/0.72 (assume @p3 (= tptp.setadjoinAx (forall @t20 (= @t19 @t16)))) % 0.40/0.72 (assume @p4 (= tptp.powersetAx (forall @t9 (= @t25 @t22)))) % 0.40/0.72 (assume @p5 (= tptp.setunionAx (forall @t30 (= @t29 (exists @t27 (and @t6 @t26)))))) % 0.40/0.72 (assume @p6 (= tptp.omega0Ax (_ @t31 tptp.omega))) % 0.40/0.72 (assume @p7 (= tptp.omegaSAx (forall @t8 (=> @t33 (_ @t32 tptp.omega))))) % 0.40/0.72 (assume @p8 (= tptp.omegaIndAx (forall @t34 (=> (and (_ @t31 @t2) (forall @t8 (=> (and @t33 @t7) (_ @t32 @t2)))) (forall @t8 (=> @t33 @t7)))))) % 0.40/0.72 (assume @p9 (= tptp.replAx (forall (@list @t35 @t2) (=> (forall @t8 (=> @t7 (_ tptp.exu (lambda @t36 (_ (_ @t35 @t4) @t12))))) (exists @t27 (forall @t8 (= @t6 (exists @t36 (and @t14 (_ (_ @t35 @t12) @t4)))))))))) % 0.40/0.72 (assume @p10 (= tptp.foundationAx (forall @t34 (=> @t37 (exists @t27 (and @t26 (not (exists @t8 (and @t6 @t7))))))))) % 0.40/0.72 (assume @p11 (= tptp.wellorderingAx (forall @t34 (exists @t27 (and (forall @t46 (=> @t48 @t45)) (forall @t50 (=> (and @t7 @t14) (=> (forall @t46 (=> @t48 (= @t43 @t42))) @t49))) (forall (@list @t41 @t39) (=> (and @t48 @t44) (or (forall @t8 (=> @t43 @t47)) (forall @t8 (=> @t47 @t43))))) (forall @t46 (=> (and @t45 (exists @t8 @t43)) (exists (@list @t39 @t4) (and @t44 @t43 (not (exists @t36 (and @t40 @t42))) (forall (@list @t38) (=> (_ (_ tptp.in @t38) @t1) (or (forall @t36 (=> (_ @t13 @t38) @t40)) (_ @t5 @t38))))))))))))) % 0.40/0.72 (assume @p12 (= tptp.descrp (forall @t56 (=> @t55 (_ @t51 @t54))))) % 0.40/0.72 (assume @p13 (= tptp.dsetconstrI (forall @t62 (=> @t7 (=> @t52 @t61))))) % 0.40/0.72 (assume @p14 (= tptp.dsetconstrEL (forall @t62 (=> @t61 @t7)))) % 0.40/0.72 (assume @p15 (= tptp.dsetconstrER (forall @t62 (=> @t61 @t52)))) % 0.40/0.72 (assume @p16 (= tptp.exuE1 (forall @t56 (=> @t55 @t64)))) % 0.40/0.72 (assume @p17 (= tptp.prop2setE (forall (@list @t65 @t4) (=> (_ @t5 @t66) @t65)))) % 0.40/0.72 (assume @p18 (= tptp.emptysetE (forall @t8 (=> @t10 (forall @t67 @t65))))) % 0.40/0.72 (assume @p19 (= tptp.emptysetimpfalse (forall @t8 (=> @t10 false)))) % 0.40/0.72 (assume @p20 (= tptp.notinemptyset @t11)) % 0.40/0.72 (assume @p21 (= tptp.exuE3e (forall @t56 (=> @t55 @t68)))) % 0.40/0.72 (assume @p22 (= tptp.setext (forall @t9 (=> @t70 (=> @t22 @t3))))) % 0.40/0.72 (assume @p23 (= tptp.emptyI @t73)) % 0.40/0.72 (assume @p24 (= tptp.noeltsimpempty @t73)) % 0.40/0.72 (assume @p25 (= tptp.setbeta (forall @t62 (=> @t7 (= @t61 @t52))))) % 0.40/0.72 (assume @p26 (= tptp.nonemptyE1 (forall @t34 (=> @t74 @t37)))) % 0.40/0.72 (assume @p27 (= tptp.nonemptyI (forall @t62 (=> @t7 (=> @t52 (_ tptp.nonempty @t60)))))) % 0.40/0.72 (assume @p28 (= tptp.nonemptyI1 (forall @t34 (=> @t37 @t74)))) % 0.40/0.72 (assume @p29 (= tptp.setadjoinIL (forall @t50 (_ @t5 (_ @t17 @t12))))) % 0.40/0.72 (assume @p30 (= tptp.emptyinunitempty (_ @t31 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)))) % 0.40/0.72 (assume @p31 (= tptp.setadjoinIR (forall @t20 (=> @t14 @t19)))) % 0.40/0.72 (assume @p32 (= tptp.setadjoinE (forall @t20 (=> @t19 (forall @t67 (=> (=> @t15 @t65) (=> (=> @t14 @t65) @t65))))))) % 0.40/0.72 (assume @p33 (= tptp.setadjoinOr (forall @t20 (=> @t19 @t16)))) % 0.40/0.72 (assume @p34 (= tptp.setoftrueEq (forall @t34 (= (_ @t59 (lambda @t8 true)) @t2)))) % 0.40/0.72 (assume @p35 (= tptp.powersetI (forall @t9 (=> @t22 @t25)))) % 0.40/0.72 (assume @p36 (= tptp.emptyinPowerset @t75)) % 0.40/0.72 (assume @p37 (= tptp.emptyInPowerset @t75)) % 0.40/0.72 (assume @p38 (= tptp.powersetE (forall @t76 (=> @t25 @t21)))) % 0.40/0.72 (assume @p39 (= tptp.setunionI (forall @t77 (=> @t6 (=> @t26 @t29))))) % 0.40/0.72 (assume @p40 (= tptp.setunionE (forall @t30 (=> @t29 (forall @t67 (=> (forall @t27 (=> @t6 (=> @t26 @t65))) @t65)))))) % 0.40/0.72 (assume @p41 (= tptp.subPowSU (forall @t30 (=> @t7 (_ @t5 (_ tptp.powerset @t28)))))) % 0.40/0.72 (assume @p42 (= tptp.exuE2 (forall @t56 (=> @t55 @t78)))) % 0.40/0.72 (assume @p43 (= tptp.nonemptyImpWitness (forall @t34 (=> @t74 (exists @t8 (and @t7 true)))))) % 0.40/0.72 (assume @p44 (= tptp.uniqinunit (forall @t50 (=> @t81 @t49)))) % 0.40/0.72 (assume @p45 (= tptp.notinsingleton (forall @t50 (=> (not @t49) (not @t83))))) % 0.40/0.72 (assume @p46 (= tptp.eqinunit (forall @t50 (=> @t49 @t81)))) % 0.40/0.72 (assume @p47 (= tptp.singletonsswitch (forall @t50 (=> @t81 @t83)))) % 0.40/0.72 (assume @p48 (= tptp.upairsetE @t87)) % 0.40/0.72 (assume @p49 (= tptp.upairsetIL (forall @t50 (_ @t5 @t85)))) % 0.40/0.72 (assume @p50 (= tptp.upairsetIR @t88)) % 0.40/0.72 (assume @p51 (= tptp.emptyE1 (forall @t91 (=> @t90 (=> (= @t89 tptp.emptyset) false))))) % 0.40/0.72 (assume @p52 (= tptp.vacuousDall (forall (@list @t51 @t4) (=> @t10 @t52)))) % 0.40/0.72 (assume @p53 (= tptp.quantDeMorgan1 @t95)) % 0.40/0.72 (assume @p54 (= tptp.quantDeMorgan2 (forall @t91 (=> @t97 @t96)))) % 0.40/0.72 (assume @p55 (= tptp.quantDeMorgan3 @t98)) % 0.40/0.72 (assume @p56 (= tptp.quantDeMorgan4 (forall @t91 (=> @t93 @t94)))) % 0.40/0.72 (assume @p57 (= tptp.prop2setI (forall @t67 (=> @t65 (_ @t31 @t66))))) % 0.40/0.72 (assume @p58 (= tptp.prop2set2propI (forall @t67 (=> @t65 (_ tptp.set2prop @t66))))) % 0.40/0.72 (assume @p59 (= tptp.notdexE @t98)) % 0.40/0.72 (assume @p60 (= tptp.notdallE @t95)) % 0.40/0.72 (assume @p61 (= tptp.exuI1 (forall @t56 (=> @t64 @t55)))) % 0.40/0.72 (assume @p62 (= tptp.exuI3 (forall @t56 (=> @t68 (=> @t100 @t55))))) % 0.40/0.72 (assume @p63 (= tptp.exuI2 (forall @t56 (=> @t78 @t55)))) % 0.40/0.72 (assume @p64 (= tptp.inCongP (forall @t9 (=> @t3 (forall @t50 (=> @t49 (=> @t7 @t101))))))) % 0.40/0.72 (assume @p65 (= tptp.in__Cong (forall @t9 (=> @t3 (forall @t50 (=> @t49 (= @t7 @t101))))))) % 0.40/0.72 (assume @p66 (= tptp.exuE3u @t102)) % 0.40/0.72 (assume @p67 (= tptp.exu__Cong (forall @t108 (=> @t107 (= @t55 @t105))))) % 0.40/0.72 (assume @p68 (= tptp.emptyset__Cong (= tptp.emptyset tptp.emptyset))) % 0.40/0.72 (assume @p69 (= tptp.setadjoin__Cong (forall @t50 (=> @t49 (forall (@list @t84 @t109) (=> @t110 (= (_ @t17 @t84) (_ @t79 @t109)))))))) % 0.40/0.72 (assume @p70 (= tptp.powerset__Cong (forall @t9 (=> @t3 (= @t23 @t111))))) % 0.40/0.72 (assume @p71 (= tptp.setunion__Cong (forall @t9 (=> @t3 (= @t28 (_ tptp.setunion @t1)))))) % 0.40/0.72 (assume @p72 (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.40/0.72 (assume @p73 (= tptp.exuEu @t102)) % 0.40/0.72 (assume @p74 (= tptp.descr__Cong (forall @t108 (=> @t107 (=> @t55 (=> @t105 (= @t54 (_ tptp.descr @t104)))))))) % 0.40/0.72 (assume @p75 (= tptp.dsetconstr__Cong (forall @t9 (=> @t3 (forall @t108 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t101 @t106)))) (= @t89 (_ (_ tptp.dsetconstr @t1) @t104)))))))) % 0.40/0.72 (assume @p76 (= tptp.subsetI1 @t114)) % 0.40/0.72 (assume @p77 (= tptp.eqimpsubset2 (forall @t9 (=> @t3 @t116)))) % 0.40/0.72 (assume @p78 (= tptp.eqimpsubset1 (forall @t9 (=> @t3 @t113)))) % 0.40/0.72 (assume @p79 (= tptp.subsetI2 @t114)) % 0.40/0.72 (assume @p80 (= tptp.emptysetsubset (forall @t34 (_ (_ tptp.subset tptp.emptyset) @t2)))) % 0.40/0.72 (assume @p81 (= tptp.subsetE (forall @t76 (=> @t113 @t69)))) % 0.40/0.72 (assume @p82 (= tptp.subsetE2 (forall @t76 (=> @t113 @t118)))) % 0.40/0.72 (assume @p83 (= tptp.notsubsetI (forall @t76 (=> @t7 (=> @t117 @t119))))) % 0.40/0.72 (assume @p84 (= tptp.notequalI1 (forall @t9 (=> @t119 @t120)))) % 0.40/0.72 (assume @p85 (= tptp.notequalI2 (forall @t76 (=> @t7 (=> @t117 @t120))))) % 0.40/0.72 (assume @p86 (= tptp.subsetRefl (forall @t34 (_ @t112 @t2)))) % 0.40/0.72 (assume @p87 (= tptp.subsetTrans (forall @t121 (=> @t113 (=> (_ @t115 @t41) (_ @t112 @t41)))))) % 0.40/0.72 (assume @p88 (= tptp.setadjoinSub (forall (@list @t4 @t2) (_ @t112 @t18)))) % 0.40/0.72 (assume @p89 (= tptp.setadjoinSub2 (forall @t77 (=> @t113 (_ @t112 (_ @t17 @t1)))))) % 0.40/0.72 (assume @p90 (= tptp.subset2powerset (forall @t9 (=> @t113 (_ @t122 @t111))))) % 0.40/0.72 (assume @p91 (= tptp.setextsub (forall @t9 (=> @t113 (=> @t116 @t3))))) % 0.40/0.72 (assume @p92 (= tptp.subsetemptysetimpeq (forall @t34 (=> (_ @t112 tptp.emptyset) @t71)))) % 0.40/0.72 (assume @p93 (= tptp.powersetI1 (forall @t9 (=> @t116 @t25)))) % 0.40/0.72 (assume @p94 (= tptp.powersetE1 (forall @t9 (=> @t25 @t116)))) % 0.40/0.72 (assume @p95 (= tptp.inPowerset (forall @t34 (_ @t122 @t23)))) % 0.40/0.72 (assume @p96 (= tptp.powersetsubset (forall @t9 (=> @t113 (_ (_ tptp.subset @t23) @t111))))) % 0.40/0.72 (assume @p97 (= tptp.sepInPowerset (forall @t91 (_ (_ tptp.in @t89) @t23)))) % 0.40/0.72 (assume @p98 (= tptp.sepSubset (forall @t91 (_ (_ tptp.subset @t89) @t2)))) % 0.40/0.72 (assume @p99 (= tptp.binunionIL (forall @t76 (=> @t7 @t124)))) % 0.40/0.72 (assume @p100 (= tptp.upairset2IR @t88)) % 0.40/0.72 (assume @p101 (= tptp.binunionIR (forall @t76 (=> @t6 @t124)))) % 0.40/0.72 (assume @p102 (= tptp.binunionEcases (forall (@list @t2 @t1 @t4 @t65) (=> @t124 (=> (=> @t7 @t65) (=> @t125 @t65)))))) % 0.40/0.72 (assume @p103 (= tptp.binunionE (forall @t76 (=> @t124 (or @t7 @t6))))) % 0.40/0.72 (assume @p104 (= tptp.binunionLsub (forall @t9 (_ @t112 @t123)))) % 0.40/0.72 (assume @p105 (= tptp.binunionRsub (forall @t9 (_ @t115 @t123)))) % 0.40/0.72 (assume @p106 (= tptp.binintersectI (forall @t76 (=> @t7 (=> @t6 @t128))))) % 0.40/0.72 (assume @p107 (= tptp.binintersectSubset5 (forall @t121 (=> (_ @t129 @t2) (=> (_ @t129 @t1) (_ @t129 @t127)))))) % 0.40/0.72 (assume @p108 (= tptp.binintersectEL (forall @t76 (=> @t128 @t7)))) % 0.40/0.72 (assume @p109 (= tptp.binintersectLsub (forall @t9 (_ @t130 @t2)))) % 0.40/0.72 (assume @p110 (= tptp.binintersectSubset2 (forall @t9 (=> @t113 @t131)))) % 0.40/0.72 (assume @p111 (= tptp.binintersectSubset3 (forall @t9 (=> @t132 @t116)))) % 0.40/0.72 (assume @p112 (= tptp.binintersectER (forall @t76 (=> @t128 @t6)))) % 0.40/0.72 (assume @p113 (= tptp.disjointsetsI1 (forall @t9 (=> (not (exists @t8 (and @t7 @t6))) (= @t127 tptp.emptyset))))) % 0.40/0.72 (assume @p114 (= tptp.binintersectRsub (forall @t9 (_ @t130 @t1)))) % 0.40/0.72 (assume @p115 (= tptp.binintersectSubset4 (forall @t9 (=> @t116 @t132)))) % 0.40/0.72 (assume @p116 (= tptp.binintersectSubset1 (forall @t9 (=> @t131 @t113)))) % 0.40/0.72 (assume @p117 (= tptp.bs114d (forall @t121 (= (_ @t126 (_ (_ tptp.binunion @t1) @t41)) (_ (_ tptp.binunion @t127) (_ @t126 @t41)))))) % 0.40/0.72 (assume @p118 (= tptp.setminusI (forall @t76 (=> @t7 (=> @t117 @t134))))) % 0.40/0.72 (assume @p119 (= tptp.setminusEL (forall @t76 (=> @t134 @t7)))) % 0.40/0.72 (assume @p120 (= tptp.setminusER (forall @t76 (=> @t134 @t117)))) % 0.40/0.72 (assume @p121 (= tptp.setminusSubset2 (forall @t9 (=> @t113 @t135)))) % 0.40/0.72 (assume @p122 (= tptp.setminusERneg (forall @t76 (=> @t136 @t69)))) % 0.40/0.72 (assume @p123 (= tptp.setminusELneg (forall @t76 (=> @t136 @t118)))) % 0.40/0.72 (assume @p124 (= tptp.setminusILneg (forall @t76 (=> @t72 @t136)))) % 0.40/0.72 (assume @p125 (= tptp.setminusIRneg (forall @t76 (=> @t6 @t136)))) % 0.40/0.72 (assume @p126 (= tptp.setminusLsub (forall @t9 (_ (_ tptp.subset @t133) @t2)))) % 0.40/0.72 (assume @p127 (= tptp.setminusSubset1 (forall @t9 (=> @t135 @t113)))) % 0.40/0.72 (assume @p128 (= tptp.symdiffE (forall @t76 (=> @t137 (forall @t67 (=> (=> @t7 (=> @t117 @t65)) (=> (=> @t72 @t125) @t65))))))) % 0.40/0.72 (assume @p129 (= tptp.symdiffI1 (forall @t76 (=> @t7 (=> @t117 @t137))))) % 0.40/0.72 (assume @p130 (= tptp.symdiffI2 (forall @t76 (=> @t72 (=> @t6 @t137))))) % 0.40/0.72 (assume @p131 (= tptp.symdiffIneg1 (forall @t76 (=> @t7 (=> @t6 @t138))))) % 0.40/0.72 (assume @p132 (= tptp.symdiffIneg2 (forall @t76 (=> @t72 (=> @t117 @t138))))) % 0.40/0.72 (assume @p133 (= tptp.secondinupair @t88)) % 0.40/0.72 (assume @p134 (= tptp.setukpairIL (forall @t50 (_ @t5 @t142)))) % 0.40/0.72 (assume @p135 (= tptp.setukpairIR (forall @t50 (_ @t13 @t142)))) % 0.40/0.72 (assume @p136 (= tptp.kpairiskpair (forall @t50 (_ tptp.iskpair @t141)))) % 0.40/0.72 (assume @p137 (= tptp.kpairp (forall @t50 (_ tptp.iskpair @t143)))) % 0.40/0.72 (assume @p138 (= tptp.singletonsubset (forall @t30 (=> @t7 (_ (_ tptp.subset @t82) @t2))))) % 0.40/0.72 (assume @p139 (= tptp.singletoninpowerset (forall @t30 (=> @t7 (_ @t144 @t23))))) % 0.40/0.72 (assume @p140 (= tptp.singletoninpowunion (forall @t76 (=> @t7 (_ @t144 @t145))))) % 0.40/0.72 (assume @p141 (= tptp.upairset2E @t87)) % 0.40/0.72 (assume @p142 (= tptp.upairsubunion (forall @t76 (=> @t7 (forall @t36 (=> @t101 (_ (_ tptp.subset @t85) @t123))))))) % 0.40/0.72 (assume @p143 (= tptp.upairinpowunion (forall @t76 (=> @t7 (forall @t36 (=> @t101 (_ (_ tptp.in @t85) @t145))))))) % 0.40/0.72 (assume @p144 (= tptp.ubforcartprodlem1 (forall @t76 (=> @t7 (forall @t36 (=> @t101 (_ (_ tptp.subset @t141) @t145))))))) % 0.40/0.72 (assume @p145 (= tptp.ubforcartprodlem2 (forall @t76 (=> @t7 (forall @t36 (=> @t101 (_ (_ tptp.in @t141) @t146))))))) % 0.40/0.72 (assume @p146 (= tptp.ubforcartprodlem3 (forall @t76 (=> @t7 (forall @t36 (=> @t101 (_ @t147 @t146))))))) % 0.40/0.72 (assume @p147 (= tptp.cartprodpairin (forall @t76 (=> @t7 (forall @t36 (=> @t101 (_ @t147 @t148))))))) % 0.40/0.72 (assume @p148 (= tptp.cartprodmempair1 (forall @t150 (=> @t149 (exists @t8 (and @t7 (exists @t36 (and @t101 (= @t109 @t143))))))))) % 0.40/0.72 (assume @p149 (= tptp.cartprodmempair (forall @t150 (=> @t149 @t151)))) % 0.40/0.72 (assume @p150 (= tptp.setunionE2 (forall @t30 (=> @t29 (exists @t153 (and (_ (_ tptp.in @t152) @t2) (_ @t5 @t152))))))) % 0.40/0.72 (assume @p151 (= tptp.setunionsingleton1 (forall @t34 (_ (_ tptp.subset @t154) @t2)))) % 0.40/0.72 (assume @p152 (= tptp.setunionsingleton2 (forall @t34 (_ @t112 @t154)))) % 0.40/0.72 (assume @p153 (= tptp.setunionsingleton (forall @t8 (= (_ tptp.setunion @t82) @t4)))) % 0.40/0.72 (assume @p154 (= tptp.singletonprop (forall @t91 (=> @t156 (=> @t90 @t155))))) % 0.40/0.72 (assume @p155 (= tptp.ex1E1 (forall @t91 (=> @t158 @t90)))) % 0.40/0.72 (assume @p156 (= tptp.ex1I (forall @t62 (=> @t7 (=> @t52 (=> (forall @t36 (=> @t14 (=> @t57 @t15))) (_ @t157 @t58))))))) % 0.40/0.72 (assume @p157 (= tptp.ex1I2 (forall @t91 (=> @t156 (=> @t90 @t158))))) % 0.40/0.72 (assume @p158 (= tptp.singletonsuniq (forall @t50 (=> (= @t82 @t80) @t49)))) % 0.40/0.72 (assume @p159 (= tptp.setukpairinjL1 (forall @t86 (=> (_ (_ tptp.in @t161) @t141) @t159)))) % 0.40/0.72 (assume @p160 (= tptp.kfstsingleton (forall (@list @t109) (=> @t151 (_ tptp.singleton (_ (_ tptp.dsetconstr (_ tptp.setunion @t109)) (lambda @t8 (_ @t144 @t109)))))))) % 0.40/0.72 (assume @p161 (= tptp.theprop (forall @t153 (=> (_ tptp.singleton @t152) (_ (_ tptp.in (_ tptp.setunion @t152)) @t152))))) % 0.40/0.72 (assume @p162 (= tptp.kfstpairEq (forall @t50 (= (_ tptp.kfst @t143) @t4)))) % 0.40/0.72 (assume @p163 (= tptp.cartprodfstin (forall @t150 (=> @t149 (_ (_ tptp.in (_ tptp.kfst @t109)) @t2))))) % 0.40/0.72 (assume @p164 (= tptp.setukpairinjL2 (forall @t168 (=> @t167 @t159)))) % 0.40/0.72 (assume @p165 (= tptp.setukpairinjL (forall @t168 (=> @t169 @t159)))) % 0.40/0.72 (assume @p166 (= tptp.setukpairinjR11 (forall @t50 (=> @t49 (= @t85 @t82))))) % 0.40/0.72 (assume @p167 (= tptp.setukpairinjR12 (forall @t50 (=> @t49 (= @t141 (_ @t140 tptp.emptyset)))))) % 0.40/0.72 (assume @p168 (= tptp.setukpairinjR1 (forall @t168 (=> @t167 (=> @t110 @t170))))) % 0.40/0.72 (assume @p169 (= tptp.upairequniteq (forall @t86 (=> (= @t85 @t161) @t49)))) % 0.40/0.72 (assume @p170 @t172) % 0.40/0.72 (assume @p171 @t345) % 0.40/0.72 (assume @p172 true) % 0.40/0.72 (step @p173 (= tptp.exu @t346) :rule refl :args (@t346)) % 0.40/0.72 (step @p174 (= tptp.nonempty @t347) :rule refl :args (@t347)) % 0.40/0.72 (step @p175 (= tptp.iskpair @t348) :rule refl :args (@t348)) % 0.40/0.72 (step @p176 (= tptp.kpair @t349) :rule refl :args (@t349)) % 0.40/0.72 (step @p177 (= tptp.singleton @t350) :rule refl :args (@t350)) % 0.40/0.72 (step @p178 (= tptp.ex1 @t351) :rule refl :args (@t351)) % 0.40/0.72 (step @p179 :rule refl :args (@t170)) % 0.40/0.72 (step @p180 :rule refl :args ((tptp.setadjoin @t161 @t164))) % 0.40/0.72 (step @p181 :rule refl :args ((tptp.setadjoin @t163 tptp.emptyset))) % 0.40/0.72 (step @p182 :rule refl :args (tptp.emptyset)) % 0.40/0.72 (step @p183 :rule refl :args ((tptp.setadjoin @t84 @t162))) % 0.40/0.72 (step @p184 :rule refl :args (@t352)) % 0.40/0.72 (step @p185 :rule refl :args (@t84)) % 0.40/0.72 (step @p186 :rule cong :premises (@p185 @p184) :args (@t353)) % 0.40/0.72 (step @p187 :rule trans :premises (@p186 @p183)) % 0.40/0.72 (step @p188 :rule cong :premises (@p187 @p182) :args (@t354)) % 0.40/0.72 (step @p189 :rule trans :premises (@p188 @p181)) % 0.40/0.72 (step @p190 :rule refl :args (@t355)) % 0.40/0.72 (step @p191 :rule cong :premises (@p190 @p189) :args (@t356)) % 0.40/0.72 (step @p192 :rule trans :premises (@p191 @p180)) % 0.40/0.72 (step @p193 :rule refl :args (tptp.setadjoin)) % 0.40/0.72 (step @p194 :rule ho_cong :premises (@p193 @p190)) % 0.40/0.72 (step @p195 :rule ho_cong :premises (@p194 @p189)) % 0.40/0.72 (step @p196 :rule cong :premises (@p195 @p192) :args ((= (_ (_ tptp.setadjoin @t355) @t354) @t356))) % 0.40/0.72 (step @p197 :rule symm :premises (@p196)) % 0.40/0.72 (step @p198 :rule refl :args (@t166)) % 0.40/0.72 (step @p199 :rule eq_resolve :premises (@p198 @p197)) % 0.40/0.72 (step @p200 :rule ho_cong :premises (@p193 @p187)) % 0.40/0.72 (step @p201 :rule ho_cong :premises (@p200 @p182)) % 0.40/0.72 (step @p202 :rule cong :premises (@p201 @p189) :args ((= (_ (_ tptp.setadjoin @t353) tptp.emptyset) @t354))) % 0.40/0.72 (step @p203 :rule symm :premises (@p202)) % 0.40/0.72 (step @p204 :rule refl :args (@t164)) % 0.40/0.72 (step @p205 :rule eq_resolve :premises (@p204 @p203)) % 0.40/0.72 (step @p206 :rule refl :args (@t160)) % 0.40/0.72 (step @p207 :rule ho_cong :premises (@p206 @p184)) % 0.40/0.72 (step @p208 :rule cong :premises (@p207 @p187) :args ((= (_ @t160 @t352) @t353))) % 0.40/0.72 (step @p209 :rule symm :premises (@p208)) % 0.40/0.72 (step @p210 :rule refl :args (@t163)) % 0.40/0.72 (step @p211 :rule eq_resolve :premises (@p210 @p209)) % 0.40/0.72 (step @p212 :rule refl :args (@t162)) % 0.40/0.72 (step @p213 :rule cong :premises (@p212 @p184) :args ((= @t162 @t352))) % 0.40/0.72 (step @p214 :rule symm :premises (@p213)) % 0.40/0.72 (step @p215 :rule eq_resolve :premises (@p212 @p214)) % 0.40/0.72 (step @p216 :rule ho_cong :premises (@p206 @p215)) % 0.40/0.72 (step @p217 :rule trans :premises (@p216 @p211)) % 0.40/0.72 (step @p218 :rule ho_cong :premises (@p193 @p217)) % 0.40/0.72 (step @p219 :rule ho_cong :premises (@p218 @p182)) % 0.40/0.72 (step @p220 :rule trans :premises (@p219 @p205)) % 0.40/0.72 (step @p221 :rule refl :args (@t161)) % 0.40/0.72 (step @p222 :rule cong :premises (@p221 @p190) :args ((= @t161 @t355))) % 0.40/0.72 (step @p223 :rule symm :premises (@p222)) % 0.40/0.72 (step 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0.40/0.73 (step @p904 :rule not_implies_elim2 :premises (@p903)) % 0.40/0.73 (step @p905 :rule not_implies_elim2 :premises (@p904)) % 0.40/0.73 (step @p906 :rule not_implies_elim2 :premises (@p905)) % 0.40/0.73 (step @p907 :rule not_implies_elim2 :premises (@p906)) % 0.40/0.73 (step @p908 :rule not_implies_elim2 :premises (@p907)) % 0.40/0.73 (step @p909 :rule not_implies_elim2 :premises (@p908)) % 0.40/0.73 (step @p910 :rule not_implies_elim2 :premises (@p909)) % 0.40/0.73 (step @p911 :rule not_implies_elim2 :premises (@p910)) % 0.40/0.73 (step @p912 :rule not_implies_elim2 :premises (@p911)) % 0.40/0.73 (step @p913 :rule not_implies_elim2 :premises (@p912)) % 0.40/0.73 (step @p914 :rule not_implies_elim2 :premises (@p913)) % 0.40/0.73 (step @p915 :rule not_implies_elim2 :premises (@p914)) % 0.40/0.73 (step @p916 :rule not_implies_elim2 :premises (@p915)) % 0.40/0.73 (step @p917 :rule not_implies_elim2 :premises (@p916)) % 0.40/0.73 (step @p918 :rule not_implies_elim2 :premises (@p917)) % 0.40/0.73 (step @p919 :rule not_implies_elim2 :premises (@p918)) % 0.40/0.73 (step @p920 :rule not_implies_elim2 :premises (@p919)) % 0.40/0.73 (step @p921 :rule not_implies_elim2 :premises (@p920)) % 0.40/0.73 (step @p922 :rule not_implies_elim2 :premises (@p921)) % 0.40/0.73 (step @p923 :rule not_implies_elim2 :premises (@p922)) % 0.40/0.73 (step @p924 :rule not_implies_elim2 :premises (@p923)) % 0.40/0.73 (step @p925 :rule not_implies_elim2 :premises (@p924)) % 0.40/0.73 (step @p926 :rule not_implies_elim2 :premises (@p925)) % 0.40/0.73 (step @p927 :rule not_implies_elim2 :premises (@p926)) % 0.40/0.73 (step @p928 :rule not_implies_elim2 :premises (@p927)) % 0.40/0.73 (step @p929 :rule not_implies_elim2 :premises (@p928)) % 0.40/0.73 (step @p930 :rule not_implies_elim2 :premises (@p929)) % 0.40/0.73 (step @p931 :rule not_implies_elim2 :premises (@p930)) % 0.40/0.73 (step @p932 :rule not_implies_elim2 :premises (@p931)) % 0.40/0.73 (step @p933 :rule not_implies_elim2 :premises (@p932)) % 0.40/0.73 (step @p934 :rule not_implies_elim2 :premises (@p933)) % 0.40/0.73 (step @p935 :rule not_implies_elim2 :premises (@p934)) % 0.40/0.73 (step @p936 :rule not_implies_elim2 :premises (@p935)) % 0.40/0.73 (step @p937 :rule not_implies_elim2 :premises (@p936)) % 0.40/0.73 (step @p938 :rule not_implies_elim2 :premises (@p937)) % 0.40/0.73 (step @p939 :rule not_implies_elim2 :premises (@p938)) % 0.40/0.73 (step @p940 :rule not_implies_elim2 :premises (@p939)) % 0.40/0.73 (step @p941 :rule not_implies_elim2 :premises (@p940)) % 0.40/0.73 (step @p942 :rule not_implies_elim2 :premises (@p941)) % 0.40/0.73 (step @p943 :rule not_implies_elim2 :premises (@p942)) % 0.40/0.73 (step @p944 :rule not_implies_elim2 :premises (@p943)) % 0.40/0.73 (step @p945 :rule not_implies_elim2 :premises (@p944)) % 0.40/0.73 (step @p946 :rule not_implies_elim2 :premises (@p945)) % 0.40/0.73 (step @p947 :rule not_implies_elim2 :premises (@p946)) % 0.40/0.73 (step @p948 :rule not_implies_elim2 :premises (@p947)) % 0.40/0.73 (step @p949 :rule not_implies_elim2 :premises (@p948)) % 0.40/0.73 (step @p950 :rule not_implies_elim2 :premises (@p949)) % 0.40/0.73 (step @p951 :rule not_implies_elim2 :premises (@p950)) % 0.40/0.73 (step @p952 :rule not_implies_elim2 :premises (@p951)) % 0.40/0.73 (step @p953 :rule not_implies_elim2 :premises (@p952)) % 0.40/0.73 (step @p954 :rule not_implies_elim2 :premises (@p953)) % 0.40/0.73 (step @p955 :rule not_implies_elim2 :premises (@p954)) % 0.40/0.73 (step @p956 :rule not_implies_elim2 :premises (@p955)) % 0.40/0.73 (step @p957 :rule not_implies_elim2 :premises (@p956)) % 0.40/0.73 (step @p958 :rule not_implies_elim2 :premises (@p957)) % 0.40/0.73 (step @p959 :rule not_implies_elim2 :premises (@p958)) % 0.40/0.73 (step @p960 :rule not_implies_elim2 :premises (@p959)) % 0.40/0.73 (step @p961 :rule not_implies_elim2 :premises (@p960)) % 0.40/0.73 (step @p962 :rule not_implies_elim2 :premises (@p961)) % 0.40/0.73 (step @p963 :rule not_implies_elim2 :premises (@p962)) % 0.40/0.73 (step @p964 :rule not_implies_elim2 :premises (@p963)) % 0.40/0.73 (step @p965 :rule not_implies_elim2 :premises (@p964)) % 0.40/0.73 (step @p966 :rule not_implies_elim2 :premises (@p965)) % 0.40/0.73 (step @p967 :rule not_implies_elim2 :premises (@p966)) % 0.40/0.73 (step @p968 :rule not_implies_elim2 :premises (@p967)) % 0.40/0.73 (step @p969 :rule not_implies_elim2 :premises (@p968)) % 0.40/0.73 (step @p970 :rule not_implies_elim2 :premises (@p969)) % 0.40/0.73 (step @p971 :rule not_implies_elim2 :premises (@p970)) % 0.40/0.73 (step @p972 :rule not_implies_elim2 :premises (@p971)) % 0.40/0.73 (step @p973 :rule not_implies_elim2 :premises (@p972)) % 0.40/0.73 (step @p974 :rule not_implies_elim2 :premises (@p973)) % 0.40/0.73 (step @p975 :rule not_implies_elim2 :premises (@p974)) % 0.40/0.73 (step @p976 :rule not_implies_elim2 :premises (@p975)) % 0.40/0.73 (step @p977 :rule not_implies_elim2 :premises (@p976)) % 0.40/0.73 (step @p978 :rule not_implies_elim2 :premises (@p977)) % 0.40/0.73 (step @p979 :rule not_implies_elim2 :premises (@p978)) % 0.40/0.73 (step @p980 :rule not_implies_elim2 :premises (@p979)) % 0.40/0.73 (step @p981 :rule not_implies_elim2 :premises (@p980)) % 0.40/0.73 (step @p982 :rule not_implies_elim2 :premises (@p981)) % 0.40/0.73 (step @p983 :rule not_implies_elim2 :premises (@p982)) % 0.40/0.73 (step @p984 :rule not_implies_elim2 :premises (@p983)) % 0.40/0.73 (step @p985 :rule not_implies_elim2 :premises (@p984)) % 0.40/0.73 (step @p986 :rule not_implies_elim2 :premises (@p985)) % 0.40/0.73 (step @p987 :rule not_implies_elim2 :premises (@p986)) % 0.40/0.73 (step @p988 :rule not_implies_elim2 :premises (@p987)) % 0.40/0.73 (step @p989 :rule not_implies_elim1 :premises (@p987)) % 0.40/0.73 (step @p990 :rule cnf_equiv_pos1 :args ((= tptp.setukpairinjR2 @t541))) % 0.40/0.73 (step @p991 :rule chain_resolution :premises (@p990 @p989 @p988) :args ((@list false true) (@list tptp.setukpairinjR2 @t541))) % 0.40/0.73 (step @p992 :rule cong :premises (@p296 @p280) :args (@t172)) % 0.40/0.73 (step @p993 :rule eq_resolve :premises (@p170 @p992)) % 0.40/0.73 (step @p994 false :rule contra :premises (@p993 @p991)) % 0.40/0.73 ) % 0.40/0.73 % SZS output end Proof % 0.40/0.73 % cvc5 exiting %------------------------------------------------------------------------------