%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU629^1 : 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 : n023.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 08:52:29 AM UTC 2026 % Result : Theorem 0.40s 0.67s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU629^1 : 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 : n023.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 17:44:28 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.54 %----Proving TH0 % 0.40/0.67 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.67 % SZS status Theorem % 0.40/0.67 % SZS output start Proof % 0.40/0.67 ( % 0.40/0.67 (declare-sort $$unsorted 0) % 0.40/0.67 (declare-const tptp.emptyset $$unsorted) % 0.40/0.67 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.67 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.40/0.67 (declare-const tptp.ubforcartprodlem1 Bool) % 0.40/0.67 (declare-const tptp.upairinpowunion Bool) % 0.40/0.67 (declare-const tptp.upairsubunion Bool) % 0.40/0.67 (declare-const tptp.upairset2E Bool) % 0.40/0.67 (declare-const tptp.singletoninpowunion Bool) % 0.40/0.67 (declare-const tptp.singletoninpowerset Bool) % 0.40/0.67 (declare-const tptp.singletonsubset Bool) % 0.40/0.67 (declare-const tptp.kpairp Bool) % 0.40/0.67 (declare-const tptp.secondinupair Bool) % 0.40/0.67 (declare-const tptp.symdiffIneg2 Bool) % 0.40/0.67 (declare-const tptp.symdiffI2 Bool) % 0.40/0.67 (declare-const tptp.symdiffI1 Bool) % 0.40/0.67 (declare-const tptp.setminusIRneg Bool) % 0.40/0.67 (declare-const tptp.setminusILneg Bool) % 0.40/0.67 (declare-const tptp.setminusERneg Bool) % 0.40/0.67 (declare-const tptp.quantDeMorgan1 Bool) % 0.40/0.67 (declare-const tptp.sepSubset Bool) % 0.40/0.67 (declare-const tptp.emptyE1 Bool) % 0.40/0.67 (declare-const tptp.inPowerset Bool) % 0.40/0.67 (declare-const tptp.upairsetIR Bool) % 0.40/0.67 (declare-const tptp.setunion__Cong Bool) % 0.40/0.67 (declare-const tptp.powersetE1 Bool) % 0.40/0.67 (declare-const tptp.singletonsswitch Bool) % 0.40/0.67 (declare-const tptp.subset2powerset Bool) % 0.40/0.67 (declare-const tptp.notinsingleton Bool) % 0.40/0.67 (declare-const tptp.subPowSU Bool) % 0.40/0.67 (declare-const tptp.binintersectSubset5 Bool) % 0.40/0.67 (declare-const tptp.exuE1 Bool) % 0.40/0.67 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.setunionI Bool) % 0.40/0.67 (declare-const tptp.notdexE Bool) % 0.40/0.67 (declare-const tptp.powersetE Bool) % 0.40/0.67 (declare-const tptp.omegaSAx Bool) % 0.40/0.67 (declare-const tptp.setadjoinE Bool) % 0.40/0.67 (declare-const tptp.emptyinunitempty Bool) % 0.40/0.67 (declare-const tptp.setminusEL Bool) % 0.40/0.67 (declare-const tptp.descr__Cong Bool) % 0.40/0.67 (declare-const tptp.nonemptyI1 Bool) % 0.40/0.67 (declare-const tptp.emptysetAx Bool) % 0.40/0.67 (declare-const tptp.nonemptyI Bool) % 0.40/0.67 (declare-const tptp.upairsetIL Bool) % 0.40/0.67 (declare-const tptp.powersetI1 Bool) % 0.40/0.67 (declare-const tptp.eqinunit Bool) % 0.40/0.67 (declare-const tptp.upairsetE Bool) % 0.40/0.67 (declare-const tptp.replAx Bool) % 0.40/0.67 (declare-const tptp.powersetI Bool) % 0.40/0.67 (declare-const tptp.setukpairIR Bool) % 0.40/0.67 (declare-const tptp.quantDeMorgan4 Bool) % 0.40/0.67 (declare-const tptp.setunionE Bool) % 0.40/0.67 (declare-const tptp.omegaIndAx Bool) % 0.40/0.67 (declare-const tptp.setunionAx Bool) % 0.40/0.67 (declare-const tptp.setoftrueEq Bool) % 0.40/0.67 (declare-const tptp.foundationAx Bool) % 0.40/0.67 (declare-const tptp.emptysetimpfalse Bool) % 0.40/0.67 (declare-const tptp.setminusELneg Bool) % 0.40/0.67 (declare-const tptp.powersetAx Bool) % 0.40/0.67 (declare-const tptp.subsetemptysetimpeq Bool) % 0.40/0.67 (declare-const tptp.setminusER Bool) % 0.40/0.67 (declare-const tptp.setadjoinAx Bool) % 0.40/0.67 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.omega $$unsorted) % 0.40/0.67 (declare-const tptp.emptyInPowerset Bool) % 0.40/0.67 (declare-const tptp.eqimpsubset1 Bool) % 0.40/0.67 (declare-const tptp.binunionE Bool) % 0.40/0.67 (declare-const tptp.dsetconstrER Bool) % 0.40/0.67 (declare-const tptp.notdallE Bool) % 0.40/0.67 (declare-const tptp.binunionRsub Bool) % 0.40/0.67 (declare-const tptp.exuE2 Bool) % 0.40/0.67 (declare-const tptp.setminusSubset2 Bool) % 0.40/0.67 (declare-const tptp.dsetconstr__Cong Bool) % 0.40/0.67 (declare-const tptp.setadjoinIR Bool) % 0.40/0.67 (declare-const tptp.notinemptyset Bool) % 0.40/0.67 (declare-const tptp.subsetRefl Bool) % 0.40/0.67 (declare-const tptp.ubforcartprodlem2 Bool) % 0.40/0.67 (declare-const tptp.uniqinunit Bool) % 0.40/0.67 (declare-const tptp.exuE3u Bool) % 0.40/0.67 (declare-const tptp.subsetTrans Bool) % 0.40/0.67 (declare-const tptp.wellorderingAx Bool) % 0.40/0.67 (declare-const tptp.setukpairIL Bool) % 0.40/0.67 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.40/0.67 (declare-const tptp.vacuousDall Bool) % 0.40/0.67 (declare-const tptp.sepInPowerset Bool) % 0.40/0.67 (declare-const tptp.nonemptyImpWitness Bool) % 0.40/0.67 (declare-const tptp.binintersectLsub Bool) % 0.40/0.67 (declare-const tptp.setadjoinOr Bool) % 0.40/0.67 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.40/0.67 (declare-const tptp.upairset2IR Bool) % 0.40/0.67 (declare-const tptp.dsetconstrI Bool) % 0.40/0.67 (declare-const tptp.setminusSubset1 Bool) % 0.40/0.67 (declare-const tptp.emptyinPowerset Bool) % 0.40/0.67 (declare-const tptp.kpairiskpair Bool) % 0.40/0.67 (declare-const tptp.prop2setI Bool) % 0.40/0.67 (declare-const tptp.dsetconstrEL Bool) % 0.40/0.67 (declare-const tptp.prop2set2propI Bool) % 0.40/0.67 (declare-const tptp.binunionLsub Bool) % 0.40/0.67 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.40/0.67 (declare-const tptp.exuI2 Bool) % 0.40/0.67 (declare-const tptp.prop2setE Bool) % 0.40/0.67 (declare-const tptp.exuEu Bool) % 0.40/0.67 (declare-const tptp.setadjoinIL Bool) % 0.40/0.67 (declare-const tptp.omega__Cong Bool) % 0.40/0.67 (declare-const tptp.setminusI Bool) % 0.40/0.67 (declare-const tptp.emptysetE Bool) % 0.40/0.67 (declare-const tptp.symdiffIneg1 Bool) % 0.40/0.67 (declare-const tptp.notequalI1 Bool) % 0.40/0.67 (declare-const tptp.emptyI Bool) % 0.40/0.67 (declare-const tptp.quantDeMorgan2 Bool) % 0.40/0.67 (declare-const tptp.noeltsimpempty Bool) % 0.40/0.67 (declare-const tptp.subsetI1 Bool) % 0.40/0.67 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.40/0.67 (declare-const tptp.subsetE Bool) % 0.40/0.67 (declare-const tptp.exuI3 Bool) % 0.40/0.67 (declare-const tptp.subsetE2 Bool) % 0.40/0.67 (declare-const tptp.inCongP Bool) % 0.40/0.67 (declare-const tptp.in__Cong Bool) % 0.40/0.67 (declare-const tptp.exu__Cong Bool) % 0.40/0.67 (declare-const tptp.exuE3e Bool) % 0.40/0.67 (declare-const tptp.binintersectSubset3 Bool) % 0.40/0.67 (declare-const tptp.setadjoin__Cong Bool) % 0.40/0.67 (declare-const tptp.emptyset__Cong Bool) % 0.40/0.67 (declare-const tptp.binintersectRsub Bool) % 0.40/0.67 (declare-const tptp.nonemptyE1 Bool) % 0.40/0.67 (declare-const tptp.setextAx Bool) % 0.40/0.67 (declare-const tptp.powerset__Cong Bool) % 0.40/0.67 (declare-const tptp.bs114d Bool) % 0.40/0.67 (declare-const tptp.setminusLsub Bool) % 0.40/0.67 (declare-const tptp.eqimpsubset2 Bool) % 0.40/0.67 (declare-const tptp.symdiffE Bool) % 0.40/0.67 (declare-const tptp.omega0Ax Bool) % 0.40/0.67 (declare-const tptp.subsetI2 Bool) % 0.40/0.67 (declare-const tptp.emptysetsubset Bool) % 0.40/0.67 (declare-const tptp.notsubsetI Bool) % 0.40/0.67 (declare-const tptp.notequalI2 Bool) % 0.40/0.67 (declare-const tptp.setadjoinSub Bool) % 0.40/0.67 (declare-const tptp.setadjoinSub2 Bool) % 0.40/0.67 (declare-const tptp.disjointsetsI1 Bool) % 0.40/0.67 (declare-const tptp.setextsub Bool) % 0.40/0.67 (declare-const tptp.setbeta Bool) % 0.40/0.67 (declare-const tptp.binintersectSubset4 Bool) % 0.40/0.67 (declare-const tptp.powersetsubset Bool) % 0.40/0.67 (declare-const tptp.binunionIL Bool) % 0.40/0.67 (declare-const tptp.binunionIR Bool) % 0.40/0.67 (declare-const tptp.descrp Bool) % 0.40/0.67 (declare-const tptp.quantDeMorgan3 Bool) % 0.40/0.67 (declare-const tptp.binunionEcases Bool) % 0.40/0.67 (declare-const tptp.exuI1 Bool) % 0.40/0.67 (declare-const tptp.binintersectI Bool) % 0.40/0.67 (declare-const tptp.binintersectEL Bool) % 0.40/0.67 (declare-const tptp.binintersectSubset2 Bool) % 0.40/0.67 (declare-const tptp.setext Bool) % 0.40/0.67 (declare-const tptp.binintersectER Bool) % 0.40/0.67 (declare-const tptp.binintersectSubset1 Bool) % 0.40/0.67 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.40/0.67 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.40/0.67 (define tptp.iskpair () (let ((_let_1 (@var "Xy" $$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)))))))))))))) % 0.40/0.67 (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))))))) % 0.40/0.67 (define tptp.cartprod () (let ((_let_1 (@var "Xz" $$unsorted))) (let ((_let_2 (@var "Xy" $$unsorted))) (let ((_let_3 (@var "Xx" $$unsorted))) (let ((_let_4 (@var "B" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5 _let_4) (_ (_ tptp.dsetconstr (_ tptp.powerset (_ tptp.powerset (_ (_ tptp.binunion _let_5) _let_4)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_5) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_4) (= _let_3 (_ (_ tptp.kpair _let_2) _let_1))))))))))))))) % 0.40/0.67 (define @t1 () (@var "B" $$unsorted)) % 0.40/0.67 (define @t2 () (@var "A" $$unsorted)) % 0.40/0.67 (define @t3 () (= @t2 @t1)) % 0.40/0.67 (define @t4 () (@var "Xx" $$unsorted)) % 0.40/0.67 (define @t5 () (_ tptp.in @t4)) % 0.40/0.67 (define @t6 () (_ @t5 @t1)) % 0.40/0.67 (define @t7 () (_ @t5 @t2)) % 0.40/0.67 (define @t8 () (@list @t4)) % 0.40/0.67 (define @t9 () (@list @t2 @t1)) % 0.40/0.67 (define @t10 () (_ @t5 tptp.emptyset)) % 0.40/0.67 (define @t11 () (forall @t8 (not @t10))) % 0.40/0.67 (define @t12 () (@var "Xy" $$unsorted)) % 0.40/0.67 (define @t13 () (_ tptp.in @t12)) % 0.40/0.67 (define @t14 () (_ @t13 @t2)) % 0.40/0.67 (define @t15 () (= @t12 @t4)) % 0.40/0.67 (define @t16 () (or @t15 @t14)) % 0.40/0.67 (define @t17 () (_ tptp.setadjoin @t4)) % 0.40/0.67 (define @t18 () (_ @t17 @t2)) % 0.40/0.67 (define @t19 () (_ @t13 @t18)) % 0.40/0.67 (define @t20 () (@list @t4 @t2 @t12)) % 0.40/0.67 (define @t21 () (=> @t6 @t7)) % 0.40/0.67 (define @t22 () (forall @t8 @t21)) % 0.40/0.67 (define @t23 () (_ tptp.powerset @t2)) % 0.40/0.67 (define @t24 () (_ tptp.in @t1)) % 0.40/0.67 (define @t25 () (_ @t24 @t23)) % 0.40/0.67 (define @t26 () (_ @t24 @t2)) % 0.40/0.67 (define @t27 () (@list @t1)) % 0.40/0.67 (define @t28 () (_ tptp.setunion @t2)) % 0.40/0.67 (define @t29 () (_ @t5 @t28)) % 0.40/0.67 (define @t30 () (@list @t2 @t4)) % 0.40/0.67 (define @t31 () (_ tptp.in tptp.emptyset)) % 0.40/0.67 (define @t32 () (_ tptp.in (_ @t17 @t4))) % 0.40/0.67 (define @t33 () (_ @t5 tptp.omega)) % 0.40/0.67 (define @t34 () (@list @t2)) % 0.40/0.67 (define @t35 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.40/0.67 (define @t36 () (@list @t12)) % 0.40/0.67 (define @t37 () (exists @t8 @t7)) % 0.40/0.67 (define @t38 () (@var "E" $$unsorted)) % 0.40/0.67 (define @t39 () (@var "D" $$unsorted)) % 0.40/0.67 (define @t40 () (_ @t13 @t39)) % 0.40/0.67 (define @t41 () (@var "C" $$unsorted)) % 0.40/0.67 (define @t42 () (_ @t13 @t41)) % 0.40/0.67 (define @t43 () (_ @t5 @t41)) % 0.40/0.67 (define @t44 () (_ (_ tptp.in @t39) @t1)) % 0.40/0.67 (define @t45 () (forall @t8 (=> @t43 @t7))) % 0.40/0.67 (define @t46 () (@list @t41)) % 0.40/0.67 (define @t47 () (_ @t5 @t39)) % 0.40/0.67 (define @t48 () (_ (_ tptp.in @t41) @t1)) % 0.40/0.67 (define @t49 () (= @t4 @t12)) % 0.40/0.67 (define @t50 () (@list @t4 @t12)) % 0.40/0.67 (define @t51 () (@var "Xphi" (-> $$unsorted Bool))) % 0.40/0.67 (define @t52 () (_ @t51 @t4)) % 0.40/0.67 (define @t53 () (lambda @t8 @t52)) % 0.40/0.67 (define @t54 () (_ tptp.descr @t53)) % 0.40/0.67 (define @t55 () (_ tptp.exu @t53)) % 0.40/0.67 (define @t56 () (@list @t51)) % 0.40/0.67 (define @t57 () (_ @t51 @t12)) % 0.40/0.67 (define @t58 () (_ tptp.dsetconstr @t2)) % 0.40/0.67 (define @t59 () (_ @t58 (lambda @t36 @t57))) % 0.40/0.67 (define @t60 () (_ @t5 @t59)) % 0.40/0.67 (define @t61 () (@list @t2 @t51 @t4)) % 0.40/0.67 (define @t62 () (=> @t57 @t49)) % 0.40/0.67 (define @t63 () (exists @t8 (and @t52 (forall @t36 @t62)))) % 0.40/0.67 (define @t64 () (@var "Xphi" Bool)) % 0.40/0.67 (define @t65 () (_ tptp.prop2set @t64)) % 0.40/0.67 (define @t66 () (@list @t64)) % 0.40/0.67 (define @t67 () (exists @t8 @t52)) % 0.40/0.67 (define @t68 () (=> @t7 @t6)) % 0.40/0.67 (define @t69 () (forall @t8 @t68)) % 0.40/0.67 (define @t70 () (= @t2 tptp.emptyset)) % 0.40/0.67 (define @t71 () (not @t7)) % 0.40/0.67 (define @t72 () (forall @t34 (=> (forall @t8 @t71) @t70))) % 0.40/0.67 (define @t73 () (_ tptp.nonempty @t2)) % 0.40/0.67 (define @t74 () (forall @t34 (_ @t31 @t23))) % 0.40/0.67 (define @t75 () (@list @t2 @t1 @t4)) % 0.40/0.67 (define @t76 () (@list @t2 @t4 @t1)) % 0.40/0.67 (define @t77 () (exists @t8 (forall @t36 (= @t57 @t15)))) % 0.40/0.67 (define @t78 () (_ tptp.setadjoin @t12)) % 0.40/0.67 (define @t79 () (_ @t78 tptp.emptyset)) % 0.40/0.67 (define @t80 () (_ @t5 @t79)) % 0.40/0.67 (define @t81 () (_ @t17 tptp.emptyset)) % 0.40/0.67 (define @t82 () (_ @t13 @t81)) % 0.40/0.67 (define @t83 () (@var "Xz" $$unsorted)) % 0.40/0.67 (define @t84 () (_ @t17 @t79)) % 0.40/0.67 (define @t85 () (_ tptp.in @t83)) % 0.40/0.67 (define @t86 () (forall (@list @t4 @t12 @t83) (=> (_ @t85 @t84) (or (= @t83 @t4) (= @t83 @t12))))) % 0.40/0.67 (define @t87 () (forall @t50 (_ @t13 @t84))) % 0.40/0.67 (define @t88 () (_ @t58 @t53)) % 0.40/0.67 (define @t89 () (exists @t8 (and @t7 @t52))) % 0.40/0.67 (define @t90 () (@list @t2 @t51)) % 0.40/0.67 (define @t91 () (not @t52)) % 0.40/0.67 (define @t92 () (exists @t8 (and @t7 @t91))) % 0.40/0.67 (define @t93 () (not (forall @t8 (=> @t7 @t52)))) % 0.40/0.67 (define @t94 () (forall @t90 (=> @t93 @t92))) % 0.40/0.67 (define @t95 () (not @t89)) % 0.40/0.67 (define @t96 () (forall @t8 (=> @t7 @t91))) % 0.40/0.67 (define @t97 () (forall @t90 (=> @t95 @t96))) % 0.40/0.67 (define @t98 () (forall @t50 (=> @t52 @t62))) % 0.40/0.67 (define @t99 () (_ @t13 @t1)) % 0.40/0.67 (define @t100 () (forall @t56 (=> @t55 @t98))) % 0.40/0.67 (define @t101 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.40/0.67 (define @t102 () (lambda @t8 (_ @t101 @t4))) % 0.40/0.67 (define @t103 () (_ tptp.exu @t102)) % 0.40/0.67 (define @t104 () (=> @t49 (= @t52 (_ @t101 @t12)))) % 0.40/0.67 (define @t105 () (forall @t50 @t104)) % 0.40/0.67 (define @t106 () (@list @t51 @t101)) % 0.40/0.67 (define @t107 () (@var "Xu" $$unsorted)) % 0.40/0.67 (define @t108 () (_ tptp.powerset @t1)) % 0.40/0.67 (define @t109 () (_ tptp.subset @t2)) % 0.40/0.67 (define @t110 () (_ @t109 @t1)) % 0.40/0.67 (define @t111 () (forall @t9 (=> @t69 @t110))) % 0.40/0.67 (define @t112 () (_ tptp.subset @t1)) % 0.40/0.67 (define @t113 () (_ @t112 @t2)) % 0.40/0.67 (define @t114 () (not @t6)) % 0.40/0.67 (define @t115 () (=> @t114 @t71)) % 0.40/0.67 (define @t116 () (not @t110)) % 0.40/0.67 (define @t117 () (not @t3)) % 0.40/0.67 (define @t118 () (@list @t2 @t1 @t41)) % 0.40/0.67 (define @t119 () (_ tptp.in @t2)) % 0.40/0.67 (define @t120 () (_ (_ tptp.binunion @t2) @t1)) % 0.40/0.67 (define @t121 () (_ @t5 @t120)) % 0.40/0.67 (define @t122 () (=> @t6 @t64)) % 0.40/0.67 (define @t123 () (_ tptp.binintersect @t2)) % 0.40/0.67 (define @t124 () (_ @t123 @t1)) % 0.40/0.67 (define @t125 () (_ @t5 @t124)) % 0.40/0.67 (define @t126 () (_ tptp.subset @t41)) % 0.40/0.67 (define @t127 () (_ tptp.subset @t124)) % 0.40/0.67 (define @t128 () (= @t124 @t2)) % 0.40/0.67 (define @t129 () (= @t124 @t1)) % 0.40/0.67 (define @t130 () (_ (_ tptp.setminus @t2) @t1)) % 0.40/0.67 (define @t131 () (_ @t5 @t130)) % 0.40/0.67 (define @t132 () (= @t130 tptp.emptyset)) % 0.40/0.67 (define @t133 () (not @t131)) % 0.40/0.67 (define @t134 () (_ @t5 (_ (_ tptp.symdiff @t2) @t1))) % 0.40/0.67 (define @t135 () (not @t134)) % 0.40/0.67 (define @t136 () (_ (_ tptp.setadjoin @t84) tptp.emptyset)) % 0.40/0.67 (define @t137 () (_ (_ tptp.setadjoin @t81) @t136)) % 0.40/0.67 (define @t138 () (_ tptp.setunion @t137)) % 0.40/0.67 (define @t139 () (_ (_ tptp.kpair @t4) @t12)) % 0.40/0.67 (define @t140 () (_ tptp.in @t81)) % 0.40/0.67 (define @t141 () (_ tptp.powerset @t120)) % 0.40/0.67 (define @t142 () (_ tptp.powerset @t141)) % 0.40/0.67 (define @t143 () (_ (_ tptp.in @t137) @t142)) % 0.40/0.67 (define @t144 () (forall @t36 (=> @t99 @t143))) % 0.40/0.67 (define @t145 () (=> @t7 @t144)) % 0.40/0.67 (define @t146 () (forall @t75 @t145)) % 0.40/0.67 (define @t147 () (= tptp.ubforcartprodlem2 @t146)) % 0.40/0.67 (define @t148 () (=> @t99 (_ (_ tptp.in @t139) @t142))) % 0.40/0.67 (define @t149 () (forall @t36 @t148)) % 0.40/0.67 (define @t150 () (=> @t7 @t149)) % 0.40/0.67 (define @t151 () (forall @t75 @t150)) % 0.40/0.67 (define @t152 () (=> tptp.ubforcartprodlem2 @t151)) % 0.40/0.67 (define @t153 () (=> tptp.ubforcartprodlem1 @t152)) % 0.40/0.67 (define @t154 () (=> tptp.upairinpowunion @t153)) % 0.40/0.67 (define @t155 () (=> tptp.upairsubunion @t154)) % 0.40/0.67 (define @t156 () (=> tptp.upairset2E @t155)) % 0.40/0.67 (define @t157 () (=> tptp.singletoninpowunion @t156)) % 0.40/0.67 (define @t158 () (=> tptp.singletoninpowerset @t157)) % 0.40/0.67 (define @t159 () (=> tptp.singletonsubset @t158)) % 0.40/0.67 (define @t160 () (=> tptp.kpairp @t159)) % 0.40/0.67 (define @t161 () (=> tptp.kpairiskpair @t160)) % 0.40/0.67 (define @t162 () (=> tptp.setukpairIR @t161)) % 0.40/0.67 (define @t163 () (=> tptp.setukpairIL @t162)) % 0.40/0.67 (define @t164 () (=> tptp.secondinupair @t163)) % 0.40/0.67 (define @t165 () (=> tptp.symdiffIneg2 @t164)) % 0.40/0.67 (define @t166 () (=> tptp.symdiffIneg1 @t165)) % 0.40/0.67 (define @t167 () (=> tptp.symdiffI2 @t166)) % 0.40/0.67 (define @t168 () (=> tptp.symdiffI1 @t167)) % 0.40/0.67 (define @t169 () (=> tptp.symdiffE @t168)) % 0.40/0.67 (define @t170 () (=> tptp.setminusSubset1 @t169)) % 0.40/0.67 (define @t171 () (=> tptp.setminusLsub @t170)) % 0.40/0.67 (define @t172 () (=> tptp.setminusIRneg @t171)) % 0.40/0.67 (define @t173 () (=> tptp.setminusILneg @t172)) % 0.40/0.67 (define @t174 () (=> tptp.setminusELneg @t173)) % 0.40/0.67 (define @t175 () (=> tptp.setminusERneg @t174)) % 0.40/0.67 (define @t176 () (=> tptp.setminusSubset2 @t175)) % 0.40/0.67 (define @t177 () (=> tptp.setminusER @t176)) % 0.40/0.67 (define @t178 () (=> tptp.setminusEL @t177)) % 0.40/0.67 (define @t179 () (=> tptp.setminusI @t178)) % 0.40/0.67 (define @t180 () (=> tptp.bs114d @t179)) % 0.40/0.67 (define @t181 () (=> tptp.binintersectSubset1 @t180)) % 0.40/0.67 (define @t182 () (=> tptp.binintersectSubset4 @t181)) % 0.40/0.67 (define @t183 () (=> tptp.binintersectRsub @t182)) % 0.40/0.67 (define @t184 () (=> tptp.disjointsetsI1 @t183)) % 0.40/0.67 (define @t185 () (=> tptp.binintersectER @t184)) % 0.40/0.67 (define @t186 () (=> tptp.binintersectSubset3 @t185)) % 0.40/0.67 (define @t187 () (=> tptp.binintersectSubset2 @t186)) % 0.40/0.67 (define @t188 () (=> tptp.binintersectLsub @t187)) % 0.40/0.67 (define @t189 () (=> tptp.binintersectEL @t188)) % 0.40/0.67 (define @t190 () (=> tptp.binintersectSubset5 @t189)) % 0.40/0.67 (define @t191 () (=> tptp.binintersectI @t190)) % 0.40/0.67 (define @t192 () (=> tptp.binunionRsub @t191)) % 0.40/0.67 (define @t193 () (=> tptp.binunionLsub @t192)) % 0.40/0.67 (define @t194 () (=> tptp.binunionE @t193)) % 0.40/0.67 (define @t195 () (=> tptp.binunionEcases @t194)) % 0.40/0.67 (define @t196 () (=> tptp.binunionIR @t195)) % 0.40/0.67 (define @t197 () (=> tptp.upairset2IR @t196)) % 0.40/0.67 (define @t198 () (=> tptp.binunionIL @t197)) % 0.40/0.67 (define @t199 () (=> tptp.sepSubset @t198)) % 0.40/0.67 (define @t200 () (=> tptp.sepInPowerset @t199)) % 0.40/0.67 (define @t201 () (=> tptp.powersetsubset @t200)) % 0.40/0.67 (define @t202 () (=> tptp.inPowerset @t201)) % 0.40/0.67 (define @t203 () (=> tptp.powersetE1 @t202)) % 0.40/0.67 (define @t204 () (=> tptp.powersetI1 @t203)) % 0.40/0.67 (define @t205 () (=> tptp.subsetemptysetimpeq @t204)) % 0.40/0.67 (define @t206 () (=> tptp.setextsub @t205)) % 0.40/0.67 (define @t207 () (=> tptp.subset2powerset @t206)) % 0.40/0.67 (define @t208 () (=> tptp.setadjoinSub2 @t207)) % 0.40/0.67 (define @t209 () (=> tptp.setadjoinSub @t208)) % 0.40/0.67 (define @t210 () (=> tptp.subsetTrans @t209)) % 0.40/0.67 (define @t211 () (=> tptp.subsetRefl @t210)) % 0.40/0.67 (define @t212 () (=> tptp.notequalI2 @t211)) % 0.40/0.67 (define @t213 () (=> tptp.notequalI1 @t212)) % 0.40/0.67 (define @t214 () (=> tptp.notsubsetI @t213)) % 0.40/0.67 (define @t215 () (=> tptp.subsetE2 @t214)) % 0.40/0.67 (define @t216 () (=> tptp.subsetE @t215)) % 0.40/0.67 (define @t217 () (=> tptp.emptysetsubset @t216)) % 0.40/0.67 (define @t218 () (=> tptp.subsetI2 @t217)) % 0.40/0.67 (define @t219 () (=> tptp.eqimpsubset1 @t218)) % 0.40/0.67 (define @t220 () (=> tptp.eqimpsubset2 @t219)) % 0.40/0.67 (define @t221 () (=> tptp.subsetI1 @t220)) % 0.40/0.67 (define @t222 () (=> tptp.dsetconstr__Cong @t221)) % 0.40/0.67 (define @t223 () (=> tptp.descr__Cong @t222)) % 0.40/0.67 (define @t224 () (=> tptp.exuEu @t223)) % 0.40/0.67 (define @t225 () (=> tptp.omega__Cong @t224)) % 0.40/0.67 (define @t226 () (=> tptp.setunion__Cong @t225)) % 0.40/0.67 (define @t227 () (=> tptp.powerset__Cong @t226)) % 0.40/0.67 (define @t228 () (=> tptp.setadjoin__Cong @t227)) % 0.40/0.67 (define @t229 () (=> tptp.emptyset__Cong @t228)) % 0.40/0.67 (define @t230 () (=> tptp.exu__Cong @t229)) % 0.40/0.67 (define @t231 () (=> tptp.exuE3u @t230)) % 0.40/0.67 (define @t232 () (=> tptp.in__Cong @t231)) % 0.40/0.67 (define @t233 () (=> tptp.inCongP @t232)) % 0.40/0.67 (define @t234 () (=> tptp.exuI2 @t233)) % 0.40/0.67 (define @t235 () (=> tptp.exuI3 @t234)) % 0.40/0.67 (define @t236 () (=> tptp.exuI1 @t235)) % 0.40/0.67 (define @t237 () (=> tptp.notdallE @t236)) % 0.40/0.67 (define @t238 () (=> tptp.notdexE @t237)) % 0.40/0.67 (define @t239 () (=> tptp.prop2set2propI @t238)) % 0.40/0.67 (define @t240 () (=> tptp.prop2setI @t239)) % 0.40/0.67 (define @t241 () (=> tptp.quantDeMorgan4 @t240)) % 0.40/0.67 (define @t242 () (=> tptp.quantDeMorgan3 @t241)) % 0.40/0.67 (define @t243 () (=> tptp.quantDeMorgan2 @t242)) % 0.40/0.67 (define @t244 () (=> tptp.quantDeMorgan1 @t243)) % 0.40/0.67 (define @t245 () (=> tptp.vacuousDall @t244)) % 0.40/0.67 (define @t246 () (=> tptp.emptyE1 @t245)) % 0.40/0.67 (define @t247 () (=> tptp.upairsetIR @t246)) % 0.40/0.67 (define @t248 () (=> tptp.upairsetIL @t247)) % 0.40/0.67 (define @t249 () (=> tptp.upairsetE @t248)) % 0.40/0.67 (define @t250 () (=> tptp.singletonsswitch @t249)) % 0.40/0.67 (define @t251 () (=> tptp.eqinunit @t250)) % 0.40/0.67 (define @t252 () (=> tptp.notinsingleton @t251)) % 0.40/0.67 (define @t253 () (=> tptp.uniqinunit @t252)) % 0.40/0.67 (define @t254 () (=> tptp.nonemptyImpWitness @t253)) % 0.40/0.67 (define @t255 () (=> tptp.exuE2 @t254)) % 0.40/0.67 (define @t256 () (=> tptp.subPowSU @t255)) % 0.40/0.67 (define @t257 () (=> tptp.setunionE @t256)) % 0.40/0.67 (define @t258 () (=> tptp.setunionI @t257)) % 0.40/0.67 (define @t259 () (=> tptp.powersetE @t258)) % 0.40/0.67 (define @t260 () (=> tptp.emptyInPowerset @t259)) % 0.40/0.67 (define @t261 () (=> tptp.emptyinPowerset @t260)) % 0.40/0.67 (define @t262 () (=> tptp.powersetI @t261)) % 0.40/0.67 (define @t263 () (=> tptp.setoftrueEq @t262)) % 0.40/0.67 (define @t264 () (=> tptp.setadjoinOr @t263)) % 0.40/0.67 (define @t265 () (=> tptp.setadjoinE @t264)) % 0.40/0.67 (define @t266 () (=> tptp.setadjoinIR @t265)) % 0.40/0.67 (define @t267 () (=> tptp.emptyinunitempty @t266)) % 0.40/0.67 (define @t268 () (=> tptp.setadjoinIL @t267)) % 0.40/0.67 (define @t269 () (=> tptp.nonemptyI1 @t268)) % 0.40/0.67 (define @t270 () (=> tptp.nonemptyI @t269)) % 0.40/0.67 (define @t271 () (=> tptp.nonemptyE1 @t270)) % 0.40/0.67 (define @t272 () (=> tptp.setbeta @t271)) % 0.40/0.67 (define @t273 () (=> tptp.noeltsimpempty @t272)) % 0.40/0.67 (define @t274 () (=> tptp.emptyI @t273)) % 0.40/0.67 (define @t275 () (=> tptp.setext @t274)) % 0.40/0.67 (define @t276 () (=> tptp.exuE3e @t275)) % 0.40/0.67 (define @t277 () (=> tptp.notinemptyset @t276)) % 0.40/0.67 (define @t278 () (=> tptp.emptysetimpfalse @t277)) % 0.40/0.67 (define @t279 () (=> tptp.emptysetE @t278)) % 0.40/0.67 (define @t280 () (=> tptp.prop2setE @t279)) % 0.40/0.67 (define @t281 () (=> tptp.exuE1 @t280)) % 0.40/0.67 (define @t282 () (=> tptp.dsetconstrER @t281)) % 0.40/0.67 (define @t283 () (=> tptp.dsetconstrEL @t282)) % 0.40/0.67 (define @t284 () (=> tptp.dsetconstrI @t283)) % 0.40/0.67 (define @t285 () (=> tptp.descrp @t284)) % 0.40/0.67 (define @t286 () (=> tptp.wellorderingAx @t285)) % 0.40/0.67 (define @t287 () (=> tptp.foundationAx @t286)) % 0.40/0.67 (define @t288 () (=> tptp.replAx @t287)) % 0.40/0.67 (define @t289 () (=> tptp.omegaIndAx @t288)) % 0.40/0.67 (define @t290 () (=> tptp.omegaSAx @t289)) % 0.40/0.67 (define @t291 () (=> tptp.omega0Ax @t290)) % 0.40/0.67 (define @t292 () (=> tptp.setunionAx @t291)) % 0.40/0.67 (define @t293 () (=> tptp.powersetAx @t292)) % 0.40/0.67 (define @t294 () (=> tptp.setadjoinAx @t293)) % 0.40/0.67 (define @t295 () (=> tptp.emptysetAx @t294)) % 0.40/0.67 (define @t296 () (=> tptp.setextAx @t295)) % 0.40/0.67 (define @t297 () (not @t296)) % 0.40/0.67 (define @t298 () (lambda @t56 @t63)) % 0.40/0.67 (define @t299 () (lambda @t8 (not (= @t4 tptp.emptyset)))) % 0.40/0.67 (define @t300 () (lambda @t34 (exists @t8 (and @t29 (exists @t36 (and (_ @t13 @t28) (= @t2 @t137))))))) % 0.40/0.67 (define @t301 () (lambda @t50 @t137)) % 0.40/0.67 (define @t302 () (lambda @t9 (_ (_ tptp.dsetconstr @t142) (lambda @t8 (exists @t36 (and @t14 (exists (@list @t83) (and (_ @t85 @t1) (= @t4 (_ (_ tptp.kpair @t12) @t83)))))))))) % 0.40/0.67 (define @t303 () (tptp.binunion @t2 @t1)) % 0.40/0.67 (define @t304 () (tptp.powerset @t303)) % 0.40/0.67 (define @t305 () (tptp.powerset @t304)) % 0.40/0.67 (define @t306 () (@var "BOUND_VARIABLE_10823" $$unsorted)) % 0.40/0.67 (define @t307 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.40/0.67 (define @t308 () (tptp.in (tptp.setadjoin @t307 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t306 tptp.emptyset)) tptp.emptyset)) @t305)) % 0.40/0.67 (define @t309 () (not (tptp.in @t306 @t1))) % 0.40/0.67 (define @t310 () (tptp.in @t4 @t2)) % 0.40/0.67 (define @t311 () (not @t310)) % 0.40/0.67 (define @t312 () (or @t311 @t309 @t308)) % 0.40/0.67 (define @t313 () (or @t309 @t308)) % 0.40/0.67 (define @t314 () (or @t311 @t313)) % 0.40/0.67 (define @t315 () (@list @t2 @t1 @t4 @t306)) % 0.40/0.67 (define @t316 () (forall @t315 @t314)) % 0.40/0.67 (define @t317 () (@list @t306)) % 0.40/0.67 (define @t318 () (forall @t317 @t314)) % 0.40/0.67 (define @t319 () (forall @t317 @t313)) % 0.40/0.67 (define @t320 () (or @t311 @t319)) % 0.40/0.67 (define @t321 () (tptp.setadjoin @t12 tptp.emptyset)) % 0.40/0.67 (define @t322 () (tptp.setadjoin @t4 @t321)) % 0.40/0.67 (define @t323 () (tptp.setadjoin @t322 tptp.emptyset)) % 0.40/0.67 (define @t324 () (tptp.setadjoin @t307 @t323)) % 0.40/0.67 (define @t325 () (tptp.in @t324 @t305)) % 0.40/0.67 (define @t326 () (tptp.in @t12 @t1)) % 0.40/0.67 (define @t327 () (forall @t36 (or (not @t326) @t325))) % 0.40/0.67 (define @t328 () (or @t71 @t327)) % 0.40/0.67 (define @t329 () (not @t99)) % 0.40/0.67 (define @t330 () (or @t329 @t143)) % 0.40/0.67 (define @t331 () (lambda @t36 @t137)) % 0.40/0.67 (define @t332 () (_ @t301 @t4)) % 0.40/0.67 (define @t333 () (=> @t99 (_ (_ tptp.in (_ @t332 @t12)) @t142))) % 0.40/0.67 (define @t334 () (forall @t36 @t333)) % 0.40/0.67 (define @t335 () (=> @t7 @t334)) % 0.40/0.67 (define @t336 () (forall @t75 @t335)) % 0.40/0.67 (define @t337 () (=> tptp.ubforcartprodlem2 @t336)) % 0.40/0.67 (define @t338 () (=> tptp.ubforcartprodlem1 @t337)) % 0.40/0.67 (define @t339 () (=> tptp.upairinpowunion @t338)) % 0.40/0.67 (define @t340 () (=> tptp.upairsubunion @t339)) % 0.40/0.67 (define @t341 () (=> tptp.upairset2E @t340)) % 0.40/0.67 (define @t342 () (=> tptp.singletoninpowunion @t341)) % 0.40/0.67 (define @t343 () (=> tptp.singletoninpowerset @t342)) % 0.40/0.67 (define @t344 () (=> tptp.singletonsubset @t343)) % 0.40/0.67 (define @t345 () (=> tptp.kpairp @t344)) % 0.40/0.67 (define @t346 () (=> tptp.kpairiskpair @t345)) % 0.40/0.67 (define @t347 () (=> tptp.setukpairIR @t346)) % 0.40/0.67 (define @t348 () (=> tptp.setukpairIL @t347)) % 0.40/0.67 (define @t349 () (=> tptp.secondinupair @t348)) % 0.40/0.67 (define @t350 () (=> tptp.symdiffIneg2 @t349)) % 0.40/0.67 (define @t351 () (=> tptp.symdiffIneg1 @t350)) % 0.40/0.67 (define @t352 () (=> tptp.symdiffI2 @t351)) % 0.40/0.67 (define @t353 () (=> tptp.symdiffI1 @t352)) % 0.40/0.67 (define @t354 () (=> tptp.symdiffE @t353)) % 0.40/0.67 (define @t355 () (=> tptp.setminusSubset1 @t354)) % 0.40/0.67 (define @t356 () (=> tptp.setminusLsub @t355)) % 0.40/0.67 (define @t357 () (=> tptp.setminusIRneg @t356)) % 0.40/0.67 (define @t358 () (=> tptp.setminusILneg @t357)) % 0.40/0.67 (define @t359 () (=> tptp.setminusELneg @t358)) % 0.40/0.67 (define @t360 () (=> tptp.setminusERneg @t359)) % 0.40/0.67 (define @t361 () (=> tptp.setminusSubset2 @t360)) % 0.40/0.67 (define @t362 () (=> tptp.setminusER @t361)) % 0.40/0.67 (define @t363 () (=> tptp.setminusEL @t362)) % 0.40/0.67 (define @t364 () (=> tptp.setminusI @t363)) % 0.40/0.67 (define @t365 () (=> tptp.bs114d @t364)) % 0.40/0.67 (define @t366 () (=> tptp.binintersectSubset1 @t365)) % 0.40/0.67 (define @t367 () (=> tptp.binintersectSubset4 @t366)) % 0.40/0.67 (define @t368 () (=> tptp.binintersectRsub @t367)) % 0.40/0.67 (define @t369 () (=> tptp.disjointsetsI1 @t368)) % 0.40/0.67 (define @t370 () (=> tptp.binintersectER @t369)) % 0.40/0.67 (define @t371 () (=> tptp.binintersectSubset3 @t370)) % 0.40/0.67 (define @t372 () (=> tptp.binintersectSubset2 @t371)) % 0.40/0.67 (define @t373 () (=> tptp.binintersectLsub @t372)) % 0.40/0.67 (define @t374 () (=> tptp.binintersectEL @t373)) % 0.40/0.67 (define @t375 () (=> tptp.binintersectSubset5 @t374)) % 0.40/0.67 (define @t376 () (=> tptp.binintersectI @t375)) % 0.40/0.67 (define @t377 () (=> tptp.binunionRsub @t376)) % 0.40/0.67 (define @t378 () (=> tptp.binunionLsub @t377)) % 0.40/0.67 (define @t379 () (=> tptp.binunionE @t378)) % 0.40/0.67 (define @t380 () (=> tptp.binunionEcases @t379)) % 0.40/0.67 (define @t381 () (=> tptp.binunionIR @t380)) % 0.40/0.67 (define @t382 () (=> tptp.upairset2IR @t381)) % 0.40/0.67 (define @t383 () (=> tptp.binunionIL @t382)) % 0.40/0.67 (define @t384 () (=> tptp.sepSubset @t383)) % 0.40/0.67 (define @t385 () (=> tptp.sepInPowerset @t384)) % 0.40/0.67 (define @t386 () (=> tptp.powersetsubset @t385)) % 0.40/0.67 (define @t387 () (=> tptp.inPowerset @t386)) % 0.40/0.67 (define @t388 () (=> tptp.powersetE1 @t387)) % 0.40/0.67 (define @t389 () (=> tptp.powersetI1 @t388)) % 0.40/0.67 (define @t390 () (=> tptp.subsetemptysetimpeq @t389)) % 0.40/0.67 (define @t391 () (=> tptp.setextsub @t390)) % 0.40/0.67 (define @t392 () (=> tptp.subset2powerset @t391)) % 0.40/0.67 (define @t393 () (=> tptp.setadjoinSub2 @t392)) % 0.40/0.67 (define @t394 () (=> tptp.setadjoinSub @t393)) % 0.40/0.67 (define @t395 () (=> tptp.subsetTrans @t394)) % 0.40/0.67 (define @t396 () (=> tptp.subsetRefl @t395)) % 0.40/0.67 (define @t397 () (=> tptp.notequalI2 @t396)) % 0.40/0.67 (define @t398 () (=> tptp.notequalI1 @t397)) % 0.40/0.67 (define @t399 () (=> tptp.notsubsetI @t398)) % 0.40/0.67 (define @t400 () (=> tptp.subsetE2 @t399)) % 0.40/0.67 (define @t401 () (=> tptp.subsetE @t400)) % 0.40/0.67 (define @t402 () (=> tptp.emptysetsubset @t401)) % 0.40/0.67 (define @t403 () (=> tptp.subsetI2 @t402)) % 0.40/0.67 (define @t404 () (=> tptp.eqimpsubset1 @t403)) % 0.40/0.67 (define @t405 () (=> tptp.eqimpsubset2 @t404)) % 0.40/0.67 (define @t406 () (=> tptp.subsetI1 @t405)) % 0.40/0.67 (define @t407 () (=> tptp.dsetconstr__Cong @t406)) % 0.40/0.67 (define @t408 () (=> tptp.descr__Cong @t407)) % 0.40/0.67 (define @t409 () (=> tptp.exuEu @t408)) % 0.40/0.67 (define @t410 () (=> tptp.omega__Cong @t409)) % 0.40/0.67 (define @t411 () (=> tptp.setunion__Cong @t410)) % 0.40/0.67 (define @t412 () (=> tptp.powerset__Cong @t411)) % 0.40/0.67 (define @t413 () (=> tptp.setadjoin__Cong @t412)) % 0.40/0.67 (define @t414 () (=> tptp.emptyset__Cong @t413)) % 0.40/0.67 (define @t415 () (=> tptp.exu__Cong @t414)) % 0.40/0.67 (define @t416 () (=> tptp.exuE3u @t415)) % 0.40/0.67 (define @t417 () (=> tptp.in__Cong @t416)) % 0.40/0.67 (define @t418 () (=> tptp.inCongP @t417)) % 0.40/0.67 (define @t419 () (=> tptp.exuI2 @t418)) % 0.40/0.67 (define @t420 () (=> tptp.exuI3 @t419)) % 0.40/0.67 (define @t421 () (=> tptp.exuI1 @t420)) % 0.40/0.67 (define @t422 () (=> tptp.notdallE @t421)) % 0.40/0.67 (define @t423 () (=> tptp.notdexE @t422)) % 0.40/0.67 (define @t424 () (=> tptp.prop2set2propI @t423)) % 0.40/0.67 (define @t425 () (=> tptp.prop2setI @t424)) % 0.40/0.67 (define @t426 () (=> tptp.quantDeMorgan4 @t425)) % 0.40/0.67 (define @t427 () (=> tptp.quantDeMorgan3 @t426)) % 0.40/0.67 (define @t428 () (=> tptp.quantDeMorgan2 @t427)) % 0.40/0.67 (define @t429 () (=> tptp.quantDeMorgan1 @t428)) % 0.40/0.67 (define @t430 () (=> tptp.vacuousDall @t429)) % 0.40/0.67 (define @t431 () (=> tptp.emptyE1 @t430)) % 0.40/0.67 (define @t432 () (=> tptp.upairsetIR @t431)) % 0.40/0.67 (define @t433 () (=> tptp.upairsetIL @t432)) % 0.40/0.67 (define @t434 () (=> tptp.upairsetE @t433)) % 0.40/0.67 (define @t435 () (=> tptp.singletonsswitch @t434)) % 0.40/0.67 (define @t436 () (=> tptp.eqinunit @t435)) % 0.40/0.67 (define @t437 () (=> tptp.notinsingleton @t436)) % 0.40/0.67 (define @t438 () (=> tptp.uniqinunit @t437)) % 0.40/0.67 (define @t439 () (=> tptp.nonemptyImpWitness @t438)) % 0.40/0.67 (define @t440 () (=> tptp.exuE2 @t439)) % 0.40/0.67 (define @t441 () (=> tptp.subPowSU @t440)) % 0.40/0.67 (define @t442 () (=> tptp.setunionE @t441)) % 0.40/0.67 (define @t443 () (=> tptp.setunionI @t442)) % 0.40/0.67 (define @t444 () (=> tptp.powersetE @t443)) % 0.40/0.67 (define @t445 () (=> tptp.emptyInPowerset @t444)) % 0.40/0.67 (define @t446 () (=> tptp.emptyinPowerset @t445)) % 0.40/0.67 (define @t447 () (=> tptp.powersetI @t446)) % 0.40/0.67 (define @t448 () (=> tptp.setoftrueEq @t447)) % 0.40/0.67 (define @t449 () (=> tptp.setadjoinOr @t448)) % 0.40/0.67 (define @t450 () (=> tptp.setadjoinE @t449)) % 0.40/0.67 (define @t451 () (=> tptp.setadjoinIR @t450)) % 0.40/0.67 (define @t452 () (=> tptp.emptyinunitempty @t451)) % 0.40/0.67 (define @t453 () (=> tptp.setadjoinIL @t452)) % 0.40/0.67 (define @t454 () (=> tptp.nonemptyI1 @t453)) % 0.40/0.67 (define @t455 () (=> tptp.nonemptyI @t454)) % 0.40/0.67 (define @t456 () (=> tptp.nonemptyE1 @t455)) % 0.40/0.67 (define @t457 () (=> tptp.setbeta @t456)) % 0.40/0.67 (define @t458 () (=> tptp.noeltsimpempty @t457)) % 0.40/0.67 (define @t459 () (=> tptp.emptyI @t458)) % 0.40/0.67 (define @t460 () (=> tptp.setext @t459)) % 0.40/0.67 (define @t461 () (=> tptp.exuE3e @t460)) % 0.40/0.67 (define @t462 () (=> tptp.notinemptyset @t461)) % 0.40/0.67 (define @t463 () (=> tptp.emptysetimpfalse @t462)) % 0.40/0.67 (define @t464 () (=> tptp.emptysetE @t463)) % 0.40/0.67 (define @t465 () (=> tptp.prop2setE @t464)) % 0.40/0.67 (define @t466 () (=> tptp.exuE1 @t465)) % 0.40/0.67 (define @t467 () (=> tptp.dsetconstrER @t466)) % 0.40/0.67 (define @t468 () (=> tptp.dsetconstrEL @t467)) % 0.40/0.67 (define @t469 () (=> tptp.dsetconstrI @t468)) % 0.40/0.67 (define @t470 () (=> tptp.descrp @t469)) % 0.40/0.67 (define @t471 () (=> tptp.wellorderingAx @t470)) % 0.40/0.67 (define @t472 () (=> tptp.foundationAx @t471)) % 0.40/0.67 (define @t473 () (=> tptp.replAx @t472)) % 0.40/0.67 (define @t474 () (=> tptp.omegaIndAx @t473)) % 0.40/0.67 (define @t475 () (=> tptp.omegaSAx @t474)) % 0.40/0.67 (define @t476 () (=> tptp.omega0Ax @t475)) % 0.40/0.67 (define @t477 () (=> tptp.setunionAx @t476)) % 0.40/0.67 (define @t478 () (=> tptp.powersetAx @t477)) % 0.40/0.67 (define @t479 () (=> tptp.setadjoinAx @t478)) % 0.40/0.67 (define @t480 () (=> tptp.emptysetAx @t479)) % 0.40/0.67 (define @t481 () (=> tptp.setextAx @t480)) % 0.40/0.67 (define @t482 () (forall @t315 @t312)) % 0.40/0.67 (assume @p1 (= tptp.setextAx (forall @t9 (=> (forall @t8 (= @t7 @t6)) @t3)))) % 0.40/0.67 (assume @p2 (= tptp.emptysetAx @t11)) % 0.40/0.67 (assume @p3 (= tptp.setadjoinAx (forall @t20 (= @t19 @t16)))) % 0.40/0.67 (assume @p4 (= tptp.powersetAx (forall @t9 (= @t25 @t22)))) % 0.40/0.67 (assume @p5 (= tptp.setunionAx (forall @t30 (= @t29 (exists @t27 (and @t6 @t26)))))) % 0.40/0.67 (assume @p6 (= tptp.omega0Ax (_ @t31 tptp.omega))) % 0.40/0.67 (assume @p7 (= tptp.omegaSAx (forall @t8 (=> @t33 (_ @t32 tptp.omega))))) % 0.40/0.67 (assume @p8 (= tptp.omegaIndAx (forall @t34 (=> (and (_ @t31 @t2) (forall @t8 (=> (and @t33 @t7) (_ @t32 @t2)))) (forall @t8 (=> @t33 @t7)))))) % 0.40/0.67 (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)))))))))) % 0.40/0.67 (assume @p10 (= tptp.foundationAx (forall @t34 (=> @t37 (exists @t27 (and @t26 (not (exists @t8 (and @t6 @t7))))))))) % 0.40/0.67 (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))))))))))))) % 0.40/0.67 (assume @p12 (= tptp.descrp (forall @t56 (=> @t55 (_ @t51 @t54))))) % 0.40/0.67 (assume @p13 (= tptp.dsetconstrI (forall @t61 (=> @t7 (=> @t52 @t60))))) % 0.40/0.67 (assume @p14 (= tptp.dsetconstrEL (forall @t61 (=> @t60 @t7)))) % 0.40/0.67 (assume @p15 (= tptp.dsetconstrER (forall @t61 (=> @t60 @t52)))) % 0.40/0.67 (assume @p16 (= tptp.exuE1 (forall @t56 (=> @t55 @t63)))) % 0.40/0.67 (assume @p17 (= tptp.prop2setE (forall (@list @t64 @t4) (=> (_ @t5 @t65) @t64)))) % 0.40/0.67 (assume @p18 (= tptp.emptysetE (forall @t8 (=> @t10 (forall @t66 @t64))))) % 0.40/0.67 (assume @p19 (= tptp.emptysetimpfalse (forall @t8 (=> @t10 false)))) % 0.40/0.67 (assume @p20 (= tptp.notinemptyset @t11)) % 0.40/0.67 (assume @p21 (= tptp.exuE3e (forall @t56 (=> @t55 @t67)))) % 0.40/0.67 (assume @p22 (= tptp.setext (forall @t9 (=> @t69 (=> @t22 @t3))))) % 0.40/0.67 (assume @p23 (= tptp.emptyI @t72)) % 0.40/0.67 (assume @p24 (= tptp.noeltsimpempty @t72)) % 0.40/0.67 (assume @p25 (= tptp.setbeta (forall @t61 (=> @t7 (= @t60 @t52))))) % 0.40/0.67 (assume @p26 (= tptp.nonemptyE1 (forall @t34 (=> @t73 @t37)))) % 0.40/0.67 (assume @p27 (= tptp.nonemptyI (forall @t61 (=> @t7 (=> @t52 (_ tptp.nonempty @t59)))))) % 0.40/0.67 (assume @p28 (= tptp.nonemptyI1 (forall @t34 (=> @t37 @t73)))) % 0.40/0.67 (assume @p29 (= tptp.setadjoinIL (forall @t50 (_ @t5 (_ @t17 @t12))))) % 0.40/0.67 (assume @p30 (= tptp.emptyinunitempty (_ @t31 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)))) % 0.40/0.67 (assume @p31 (= tptp.setadjoinIR (forall @t20 (=> @t14 @t19)))) % 0.40/0.67 (assume @p32 (= tptp.setadjoinE (forall @t20 (=> @t19 (forall @t66 (=> (=> @t15 @t64) (=> (=> @t14 @t64) @t64))))))) % 0.40/0.67 (assume @p33 (= tptp.setadjoinOr (forall @t20 (=> @t19 @t16)))) % 0.40/0.67 (assume @p34 (= tptp.setoftrueEq (forall @t34 (= (_ @t58 (lambda @t8 true)) @t2)))) % 0.40/0.67 (assume @p35 (= tptp.powersetI (forall @t9 (=> @t22 @t25)))) % 0.40/0.67 (assume @p36 (= tptp.emptyinPowerset @t74)) % 0.40/0.67 (assume @p37 (= tptp.emptyInPowerset @t74)) % 0.40/0.67 (assume @p38 (= tptp.powersetE (forall @t75 (=> @t25 @t21)))) % 0.40/0.67 (assume @p39 (= tptp.setunionI (forall @t76 (=> @t6 (=> @t26 @t29))))) % 0.40/0.67 (assume @p40 (= tptp.setunionE (forall @t30 (=> @t29 (forall @t66 (=> (forall @t27 (=> @t6 (=> @t26 @t64))) @t64)))))) % 0.40/0.67 (assume @p41 (= tptp.subPowSU (forall @t30 (=> @t7 (_ @t5 (_ tptp.powerset @t28)))))) % 0.40/0.67 (assume @p42 (= tptp.exuE2 (forall @t56 (=> @t55 @t77)))) % 0.40/0.67 (assume @p43 (= tptp.nonemptyImpWitness (forall @t34 (=> @t73 (exists @t8 (and @t7 true)))))) % 0.40/0.67 (assume @p44 (= tptp.uniqinunit (forall @t50 (=> @t80 @t49)))) % 0.40/0.67 (assume @p45 (= tptp.notinsingleton (forall @t50 (=> (not @t49) (not @t82))))) % 0.40/0.67 (assume @p46 (= tptp.eqinunit (forall @t50 (=> @t49 @t80)))) % 0.40/0.67 (assume @p47 (= tptp.singletonsswitch (forall @t50 (=> @t80 @t82)))) % 0.40/0.67 (assume @p48 (= tptp.upairsetE @t86)) % 0.40/0.67 (assume @p49 (= tptp.upairsetIL (forall @t50 (_ @t5 @t84)))) % 0.40/0.67 (assume @p50 (= tptp.upairsetIR @t87)) % 0.40/0.67 (assume @p51 (= tptp.emptyE1 (forall @t90 (=> @t89 (=> (= @t88 tptp.emptyset) false))))) % 0.40/0.67 (assume @p52 (= tptp.vacuousDall (forall (@list @t51 @t4) (=> @t10 @t52)))) % 0.40/0.67 (assume @p53 (= tptp.quantDeMorgan1 @t94)) % 0.40/0.67 (assume @p54 (= tptp.quantDeMorgan2 (forall @t90 (=> @t96 @t95)))) % 0.40/0.67 (assume @p55 (= tptp.quantDeMorgan3 @t97)) % 0.40/0.67 (assume @p56 (= tptp.quantDeMorgan4 (forall @t90 (=> @t92 @t93)))) % 0.40/0.67 (assume @p57 (= tptp.prop2setI (forall @t66 (=> @t64 (_ @t31 @t65))))) % 0.40/0.67 (assume @p58 (= tptp.prop2set2propI (forall @t66 (=> @t64 (_ tptp.set2prop @t65))))) % 0.40/0.67 (assume @p59 (= tptp.notdexE @t97)) % 0.40/0.67 (assume @p60 (= tptp.notdallE @t94)) % 0.40/0.67 (assume @p61 (= tptp.exuI1 (forall @t56 (=> @t63 @t55)))) % 0.40/0.67 (assume @p62 (= tptp.exuI3 (forall @t56 (=> @t67 (=> @t98 @t55))))) % 0.40/0.67 (assume @p63 (= tptp.exuI2 (forall @t56 (=> @t77 @t55)))) % 0.40/0.67 (assume @p64 (= tptp.inCongP (forall @t9 (=> @t3 (forall @t50 (=> @t49 (=> @t7 @t99))))))) % 0.40/0.67 (assume @p65 (= tptp.in__Cong (forall @t9 (=> @t3 (forall @t50 (=> @t49 (= @t7 @t99))))))) % 0.40/0.67 (assume @p66 (= tptp.exuE3u @t100)) % 0.40/0.67 (assume @p67 (= tptp.exu__Cong (forall @t106 (=> @t105 (= @t55 @t103))))) % 0.40/0.67 (assume @p68 (= tptp.emptyset__Cong (= tptp.emptyset tptp.emptyset))) % 0.40/0.67 (assume @p69 (= tptp.setadjoin__Cong (forall @t50 (=> @t49 (forall (@list @t83 @t107) (=> (= @t83 @t107) (= (_ @t17 @t83) (_ @t78 @t107)))))))) % 0.40/0.67 (assume @p70 (= tptp.powerset__Cong (forall @t9 (=> @t3 (= @t23 @t108))))) % 0.40/0.67 (assume @p71 (= tptp.setunion__Cong (forall @t9 (=> @t3 (= @t28 (_ tptp.setunion @t1)))))) % 0.40/0.67 (assume @p72 (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.40/0.67 (assume @p73 (= tptp.exuEu @t100)) % 0.40/0.67 (assume @p74 (= tptp.descr__Cong (forall @t106 (=> @t105 (=> @t55 (=> @t103 (= @t54 (_ tptp.descr @t102)))))))) % 0.40/0.67 (assume @p75 (= tptp.dsetconstr__Cong (forall @t9 (=> @t3 (forall @t106 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t99 @t104)))) (= @t88 (_ (_ tptp.dsetconstr @t1) @t102)))))))) % 0.40/0.67 (assume @p76 (= tptp.subsetI1 @t111)) % 0.40/0.67 (assume @p77 (= tptp.eqimpsubset2 (forall @t9 (=> @t3 @t113)))) % 0.40/0.67 (assume @p78 (= tptp.eqimpsubset1 (forall @t9 (=> @t3 @t110)))) % 0.40/0.67 (assume @p79 (= tptp.subsetI2 @t111)) % 0.40/0.67 (assume @p80 (= tptp.emptysetsubset (forall @t34 (_ (_ tptp.subset tptp.emptyset) @t2)))) % 0.40/0.67 (assume @p81 (= tptp.subsetE (forall @t75 (=> @t110 @t68)))) % 0.40/0.67 (assume @p82 (= tptp.subsetE2 (forall @t75 (=> @t110 @t115)))) % 0.40/0.67 (assume @p83 (= tptp.notsubsetI (forall @t75 (=> @t7 (=> @t114 @t116))))) % 0.40/0.67 (assume @p84 (= tptp.notequalI1 (forall @t9 (=> @t116 @t117)))) % 0.40/0.67 (assume @p85 (= tptp.notequalI2 (forall @t75 (=> @t7 (=> @t114 @t117))))) % 0.40/0.67 (assume @p86 (= tptp.subsetRefl (forall @t34 (_ @t109 @t2)))) % 0.40/0.67 (assume @p87 (= tptp.subsetTrans (forall @t118 (=> @t110 (=> (_ @t112 @t41) (_ @t109 @t41)))))) % 0.40/0.67 (assume @p88 (= tptp.setadjoinSub (forall (@list @t4 @t2) (_ @t109 @t18)))) % 0.40/0.67 (assume @p89 (= tptp.setadjoinSub2 (forall @t76 (=> @t110 (_ @t109 (_ @t17 @t1)))))) % 0.40/0.67 (assume @p90 (= tptp.subset2powerset (forall @t9 (=> @t110 (_ @t119 @t108))))) % 0.40/0.67 (assume @p91 (= tptp.setextsub (forall @t9 (=> @t110 (=> @t113 @t3))))) % 0.40/0.67 (assume @p92 (= tptp.subsetemptysetimpeq (forall @t34 (=> (_ @t109 tptp.emptyset) @t70)))) % 0.40/0.67 (assume @p93 (= tptp.powersetI1 (forall @t9 (=> @t113 @t25)))) % 0.40/0.67 (assume @p94 (= tptp.powersetE1 (forall @t9 (=> @t25 @t113)))) % 0.40/0.67 (assume @p95 (= tptp.inPowerset (forall @t34 (_ @t119 @t23)))) % 0.40/0.67 (assume @p96 (= tptp.powersetsubset (forall @t9 (=> @t110 (_ (_ tptp.subset @t23) @t108))))) % 0.40/0.67 (assume @p97 (= tptp.sepInPowerset (forall @t90 (_ (_ tptp.in @t88) @t23)))) % 0.40/0.67 (assume @p98 (= tptp.sepSubset (forall @t90 (_ (_ tptp.subset @t88) @t2)))) % 0.40/0.67 (assume @p99 (= tptp.binunionIL (forall @t75 (=> @t7 @t121)))) % 0.40/0.67 (assume @p100 (= tptp.upairset2IR @t87)) % 0.40/0.67 (assume @p101 (= tptp.binunionIR (forall @t75 (=> @t6 @t121)))) % 0.40/0.67 (assume @p102 (= tptp.binunionEcases (forall (@list @t2 @t1 @t4 @t64) (=> @t121 (=> (=> @t7 @t64) (=> @t122 @t64)))))) % 0.40/0.67 (assume @p103 (= tptp.binunionE (forall @t75 (=> @t121 (or @t7 @t6))))) % 0.40/0.67 (assume @p104 (= tptp.binunionLsub (forall @t9 (_ @t109 @t120)))) % 0.40/0.67 (assume @p105 (= tptp.binunionRsub (forall @t9 (_ @t112 @t120)))) % 0.40/0.67 (assume @p106 (= tptp.binintersectI (forall @t75 (=> @t7 (=> @t6 @t125))))) % 0.40/0.67 (assume @p107 (= tptp.binintersectSubset5 (forall @t118 (=> (_ @t126 @t2) (=> (_ @t126 @t1) (_ @t126 @t124)))))) % 0.40/0.67 (assume @p108 (= tptp.binintersectEL (forall @t75 (=> @t125 @t7)))) % 0.40/0.67 (assume @p109 (= tptp.binintersectLsub (forall @t9 (_ @t127 @t2)))) % 0.40/0.67 (assume @p110 (= tptp.binintersectSubset2 (forall @t9 (=> @t110 @t128)))) % 0.40/0.67 (assume @p111 (= tptp.binintersectSubset3 (forall @t9 (=> @t129 @t113)))) % 0.40/0.67 (assume @p112 (= tptp.binintersectER (forall @t75 (=> @t125 @t6)))) % 0.40/0.67 (assume @p113 (= tptp.disjointsetsI1 (forall @t9 (=> (not (exists @t8 (and @t7 @t6))) (= @t124 tptp.emptyset))))) % 0.40/0.67 (assume @p114 (= tptp.binintersectRsub (forall @t9 (_ @t127 @t1)))) % 0.40/0.67 (assume @p115 (= tptp.binintersectSubset4 (forall @t9 (=> @t113 @t129)))) % 0.40/0.67 (assume @p116 (= tptp.binintersectSubset1 (forall @t9 (=> @t128 @t110)))) % 0.40/0.67 (assume @p117 (= tptp.bs114d (forall @t118 (= (_ @t123 (_ (_ tptp.binunion @t1) @t41)) (_ (_ tptp.binunion @t124) (_ @t123 @t41)))))) % 0.40/0.67 (assume @p118 (= tptp.setminusI (forall @t75 (=> @t7 (=> @t114 @t131))))) % 0.40/0.67 (assume @p119 (= tptp.setminusEL (forall @t75 (=> @t131 @t7)))) % 0.40/0.67 (assume @p120 (= tptp.setminusER (forall @t75 (=> @t131 @t114)))) % 0.40/0.67 (assume @p121 (= tptp.setminusSubset2 (forall @t9 (=> @t110 @t132)))) % 0.40/0.67 (assume @p122 (= tptp.setminusERneg (forall @t75 (=> @t133 @t68)))) % 0.40/0.67 (assume @p123 (= tptp.setminusELneg (forall @t75 (=> @t133 @t115)))) % 0.40/0.67 (assume @p124 (= tptp.setminusILneg (forall @t75 (=> @t71 @t133)))) % 0.40/0.67 (assume @p125 (= tptp.setminusIRneg (forall @t75 (=> @t6 @t133)))) % 0.40/0.67 (assume @p126 (= tptp.setminusLsub (forall @t9 (_ (_ tptp.subset @t130) @t2)))) % 0.40/0.67 (assume @p127 (= tptp.setminusSubset1 (forall @t9 (=> @t132 @t110)))) % 0.40/0.67 (assume @p128 (= tptp.symdiffE (forall @t75 (=> @t134 (forall @t66 (=> (=> @t7 (=> @t114 @t64)) (=> (=> @t71 @t122) @t64))))))) % 0.40/0.67 (assume @p129 (= tptp.symdiffI1 (forall @t75 (=> @t7 (=> @t114 @t134))))) % 0.40/0.67 (assume @p130 (= tptp.symdiffI2 (forall @t75 (=> @t71 (=> @t6 @t134))))) % 0.40/0.67 (assume @p131 (= tptp.symdiffIneg1 (forall @t75 (=> @t7 (=> @t6 @t135))))) % 0.40/0.67 (assume @p132 (= tptp.symdiffIneg2 (forall @t75 (=> @t71 (=> @t114 @t135))))) % 0.40/0.67 (assume @p133 (= tptp.secondinupair @t87)) % 0.40/0.67 (assume @p134 (= tptp.setukpairIL (forall @t50 (_ @t5 @t138)))) % 0.40/0.67 (assume @p135 (= tptp.setukpairIR (forall @t50 (_ @t13 @t138)))) % 0.40/0.67 (assume @p136 (= tptp.kpairiskpair (forall @t50 (_ tptp.iskpair @t137)))) % 0.40/0.67 (assume @p137 (= tptp.kpairp (forall @t50 (_ tptp.iskpair @t139)))) % 0.40/0.67 (assume @p138 (= tptp.singletonsubset (forall @t30 (=> @t7 (_ (_ tptp.subset @t81) @t2))))) % 0.40/0.67 (assume @p139 (= tptp.singletoninpowerset (forall @t30 (=> @t7 (_ @t140 @t23))))) % 0.40/0.67 (assume @p140 (= tptp.singletoninpowunion (forall @t75 (=> @t7 (_ @t140 @t141))))) % 0.40/0.67 (assume @p141 (= tptp.upairset2E @t86)) % 0.40/0.67 (assume @p142 (= tptp.upairsubunion (forall @t75 (=> @t7 (forall @t36 (=> @t99 (_ (_ tptp.subset @t84) @t120))))))) % 0.40/0.67 (assume @p143 (= tptp.upairinpowunion (forall @t75 (=> @t7 (forall @t36 (=> @t99 (_ (_ tptp.in @t84) @t141))))))) % 0.40/0.67 (assume @p144 (= tptp.ubforcartprodlem1 (forall @t75 (=> @t7 (forall @t36 (=> @t99 (_ (_ tptp.subset @t137) @t141))))))) % 0.40/0.67 (assume @p145 @t147) % 0.40/0.67 (assume @p146 @t297) % 0.40/0.67 (assume @p147 true) % 0.40/0.67 (step @p148 (= tptp.exu @t298) :rule refl :args (@t298)) % 0.40/0.67 (step @p149 (= tptp.nonempty @t299) :rule refl :args (@t299)) % 0.40/0.67 (step @p150 (= tptp.iskpair @t300) :rule refl :args (@t300)) % 0.40/0.67 (step @p151 (= tptp.kpair @t301) :rule refl :args (@t301)) % 0.40/0.67 (step @p152 (= tptp.cartprod @t302) :rule refl :args (@t302)) % 0.40/0.67 (step @p153 :rule aci_norm :args ((= @t314 @t312))) % 0.40/0.67 (step @p154 :rule cong :premises (@p153) :args (@t316)) % 0.40/0.67 (step @p155 :rule quant-merge-prenex :args ((= (forall @t75 @t318) @t316))) % 0.40/0.67 (step @p156 :rule alpha_equiv :args (@t319 (@list @t306) (@list @t12))) % 0.40/0.67 (step @p157 :rule refl :args (@t311)) % 0.40/0.67 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t320)) % 0.40/0.67 (step @p159 :rule quant-miniscope-or :args ((= @t318 @t320))) % 0.40/0.67 (step @p160 :rule trans :premises (@p159 @p158)) % 0.40/0.67 (step @p161 :rule symm :premises (@p160)) % 0.40/0.67 (step @p162 :rule cong :premises (@p161) :args ((forall @t75 (or @t311 @t327)))) % 0.40/0.67 (step @p163 :rule trans :premises (@p162 @p155)) % 0.40/0.67 (step @p164 :rule trans :premises (@p163 @p154)) % 0.40/0.67 (step @p165 :rule refl :args (@t327)) % 0.40/0.67 (step @p166 :rule refl :args (@t310)) % 0.40/0.67 (step @p167 :rule refl :args (@t7)) % 0.40/0.67 (step @p168 :rule cong :premises (@p167 @p166) :args ((= @t7 @t310))) % 0.40/0.67 (step @p169 :rule symm :premises (@p168)) % 0.40/0.67 (step @p170 :rule eq_resolve :premises (@p167 @p169)) % 0.40/0.67 (step @p171 :rule cong :premises (@p170) :args (@t71)) % 0.40/0.67 (step @p172 :rule nary_cong :premises (@p171 @p165) :args (@t328)) % 0.40/0.67 (step @p173 :rule cong :premises (@p172) :args ((forall @t75 @t328))) % 0.40/0.67 (step @p174 :rule trans :premises (@p173 @p164)) % 0.40/0.67 (step @p175 :rule bool-impl-elim :args (@t7 @t327)) % 0.40/0.67 (step @p176 :rule cong :premises (@p175) :args ((forall @t75 (=> @t7 @t327)))) % 0.40/0.67 (step @p177 :rule trans :premises (@p176 @p174)) % 0.40/0.67 (step @p178 :rule refl :args ((tptp.in @t137 @t142))) % 0.40/0.67 (step @p179 :rule refl :args ((tptp.powerset @t141))) % 0.40/0.67 (step @p180 :rule refl :args ((tptp.powerset @t120))) % 0.40/0.67 (step @p181 :rule refl :args (@t303)) % 0.40/0.67 (step @p182 :rule cong :premises (@p181) :args (@t304)) % 0.40/0.67 (step @p183 :rule trans :premises (@p182 @p180)) % 0.40/0.67 (step @p184 :rule cong :premises (@p183) :args (@t305)) % 0.40/0.67 (step @p185 :rule trans :premises (@p184 @p179)) % 0.40/0.67 (step @p186 :rule refl :args ((tptp.setadjoin @t81 @t136))) % 0.40/0.67 (step @p187 :rule refl :args ((tptp.setadjoin @t84 tptp.emptyset))) % 0.40/0.67 (step @p188 :rule refl :args (tptp.emptyset)) % 0.40/0.67 (step @p189 :rule refl :args ((tptp.setadjoin @t4 @t79))) % 0.40/0.67 (step @p190 :rule refl :args (@t321)) % 0.40/0.67 (step @p191 :rule refl :args (@t4)) % 0.40/0.67 (step @p192 :rule cong :premises (@p191 @p190) :args (@t322)) % 0.40/0.67 (step @p193 :rule trans :premises (@p192 @p189)) % 0.40/0.67 (step @p194 :rule cong :premises (@p193 @p188) :args (@t323)) % 0.40/0.67 (step @p195 :rule trans :premises (@p194 @p187)) % 0.40/0.67 (step @p196 :rule refl :args (@t307)) % 0.40/0.67 (step @p197 :rule cong :premises (@p196 @p195) :args (@t324)) % 0.40/0.67 (step @p198 :rule trans :premises (@p197 @p186)) % 0.40/0.67 (step @p199 :rule cong :premises (@p198 @p185) :args (@t325)) % 0.40/0.67 (step @p200 :rule trans :premises (@p199 @p178)) % 0.40/0.67 (step @p201 :rule refl :args (tptp.in)) % 0.40/0.67 (step @p202 :rule ho_cong :premises (@p201 @p198)) % 0.40/0.67 (step @p203 :rule ho_cong :premises (@p202 @p185)) % 0.40/0.67 (step @p204 :rule cong :premises (@p203 @p200) :args ((= (_ (_ tptp.in @t324) @t305) @t325))) % 0.40/0.67 (step @p205 :rule symm :premises (@p204)) % 0.40/0.67 (step @p206 :rule refl :args (@t143)) % 0.40/0.67 (step @p207 :rule eq_resolve :premises (@p206 @p205)) % 0.40/0.67 (step @p208 :rule refl :args (tptp.powerset)) % 0.40/0.67 (step @p209 :rule ho_cong :premises (@p208 @p183)) % 0.40/0.67 (step @p210 :rule cong :premises (@p209 @p185) :args ((= (_ tptp.powerset @t304) @t305))) % 0.40/0.67 (step @p211 :rule symm :premises (@p210)) % 0.40/0.67 (step @p212 :rule refl :args (@t142)) % 0.40/0.67 (step @p213 :rule eq_resolve :premises (@p212 @p211)) % 0.40/0.67 (step @p214 :rule ho_cong :premises (@p208 @p181)) % 0.40/0.67 (step @p215 :rule cong :premises (@p214 @p183) :args ((= (_ tptp.powerset @t303) @t304))) % 0.40/0.67 (step @p216 :rule symm :premises (@p215)) % 0.40/0.67 (step @p217 :rule refl :args (@t141)) % 0.40/0.67 (step @p218 :rule eq_resolve :premises (@p217 @p216)) % 0.40/0.67 (step @p219 :rule refl :args (@t120)) % 0.40/0.67 (step @p220 :rule cong :premises (@p219 @p181) :args ((= @t120 @t303))) % 0.40/0.67 (step @p221 :rule symm :premises (@p220)) % 0.40/0.67 (step @p222 :rule eq_resolve :premises (@p219 @p221)) % 0.40/0.67 (step @p223 :rule ho_cong :premises (@p208 @p222)) % 0.40/0.67 (step @p224 :rule trans :premises (@p223 @p218)) % 0.40/0.67 (step @p225 :rule ho_cong :premises (@p208 @p224)) % 0.40/0.67 (step @p226 :rule trans :premises (@p225 @p213)) % 0.40/0.67 (step @p227 :rule refl :args (tptp.setadjoin)) % 0.40/0.67 (step @p228 :rule ho_cong :premises (@p227 @p196)) % 0.40/0.67 (step @p229 :rule ho_cong :premises (@p228 @p195)) % 0.40/0.67 (step @p230 :rule cong :premises (@p229 @p198) :args ((= (_ (_ tptp.setadjoin @t307) @t323) @t324))) % 0.40/0.67 (step @p231 :rule symm :premises (@p230)) % 0.40/0.67 (step @p232 :rule refl :args (@t137)) % 0.40/0.67 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 0.40/0.67 (step @p234 :rule ho_cong :premises (@p227 @p193)) % 0.40/0.67 (step @p235 :rule ho_cong :premises (@p234 @p188)) % 0.40/0.67 (step @p236 :rule cong :premises (@p235 @p195) :args ((= (_ (_ tptp.setadjoin @t322) tptp.emptyset) @t323))) % 0.40/0.67 (step @p237 :rule symm :premises (@p236)) % 0.40/0.67 (step @p238 :rule refl :args (@t136)) % 0.40/0.67 (step @p239 :rule eq_resolve :premises (@p238 @p237)) % 0.40/0.67 (step @p240 :rule refl :args (@t17)) % 0.40/0.67 (step @p241 :rule ho_cong :premises (@p240 @p190)) % 0.40/0.67 (step @p242 :rule cong :premises (@p241 @p193) :args ((= (_ @t17 @t321) @t322))) % 0.40/0.67 (step @p243 :rule symm :premises (@p242)) % 0.40/0.67 (step @p244 :rule refl :args (@t84)) % 0.40/0.67 (step @p245 :rule eq_resolve :premises (@p244 @p243)) % 0.40/0.67 (step @p246 :rule refl :args (@t79)) % 0.40/0.67 (step @p247 :rule cong :premises (@p246 @p190) :args ((= @t79 @t321))) % 0.40/0.67 (step @p248 :rule symm :premises (@p247)) % 0.40/0.67 (step @p249 :rule eq_resolve :premises (@p246 @p248)) % 0.40/0.67 (step @p250 :rule ho_cong :premises (@p240 @p249)) % 0.40/0.67 (step @p251 :rule trans :premises (@p250 @p245)) % 0.40/0.67 (step @p252 :rule ho_cong :premises (@p227 @p251)) % 0.40/0.67 (step @p253 :rule ho_cong :premises (@p252 @p188)) % 0.40/0.67 (step @p254 :rule trans :premises (@p253 @p239)) % 0.40/0.67 (step @p255 :rule refl :args (@t81)) % 0.40/0.67 (step @p256 :rule cong :premises (@p255 @p196) :args ((= @t81 @t307))) % 0.40/0.67 (step @p257 :rule symm :premises (@p256)) % 0.40/0.67 (step @p258 :rule eq_resolve :premises (@p255 @p257)) % 0.40/0.67 (step @p259 :rule ho_cong :premises (@p227 @p258)) % 0.40/0.67 (step @p260 :rule ho_cong :premises (@p259 @p254)) % 0.40/0.67 (step @p261 :rule trans :premises (@p260 @p233)) % 0.40/0.67 (step @p262 :rule ho_cong :premises (@p201 @p261)) % 0.40/0.67 (step @p263 :rule ho_cong :premises (@p262 @p226)) % 0.40/0.67 (step @p264 :rule trans :premises (@p263 @p207)) % 0.40/0.67 (step @p265 :rule refl :args (@t326)) % 0.40/0.67 (step @p266 :rule refl :args (@t99)) % 0.40/0.67 (step @p267 :rule cong :premises (@p266 @p265) :args ((= @t99 @t326))) % 0.40/0.67 (step @p268 :rule symm :premises (@p267)) % 0.40/0.67 (step @p269 :rule eq_resolve :premises (@p266 @p268)) % 0.40/0.67 (step @p270 :rule cong :premises (@p269) :args (@t329)) % 0.40/0.67 (step @p271 :rule nary_cong :premises (@p270 @p264) :args (@t330)) % 0.40/0.67 (step @p272 :rule cong :premises (@p271) :args ((forall @t36 @t330))) % 0.40/0.67 (step @p273 :rule bool-impl-elim :args (@t99 @t143)) % 0.40/0.67 (step @p274 :rule cong :premises (@p273) :args (@t144)) % 0.40/0.67 (step @p275 :rule trans :premises (@p274 @p272)) % 0.40/0.67 (step @p276 :rule refl :args (@t142)) % 0.40/0.67 (step @p277 :rule beta-reduce :args ((= (_ @t331 @t12) @t137))) % 0.40/0.67 (step @p278 :rule refl :args (@t12)) % 0.40/0.67 (step @p279 :rule beta-reduce :args ((= @t332 @t331))) % 0.40/0.67 (step @p280 :rule ho_cong :premises (@p279 @p278)) % 0.40/0.67 (step @p281 :rule trans :premises (@p280 @p277)) % 0.40/0.67 (step @p282 :rule refl :args (tptp.in)) % 0.40/0.67 (step @p283 :rule ho_cong :premises (@p282 @p281)) % 0.40/0.67 (step @p284 :rule ho_cong :premises (@p283 @p276)) % 0.40/0.67 (step @p285 :rule refl :args (@t99)) % 0.40/0.67 (step @p286 :rule cong :premises (@p285 @p284) :args (@t333)) % 0.40/0.67 (step @p287 :rule cong :premises (@p286) :args (@t334)) % 0.40/0.67 (step @p288 :rule trans :premises (@p287 @p275)) % 0.40/0.67 (step @p289 :rule refl :args (@t7)) % 0.40/0.67 (step @p290 :rule cong :premises (@p289 @p288) :args (@t335)) % 0.40/0.67 (step @p291 :rule cong :premises (@p290) :args (@t336)) % 0.40/0.67 (step @p292 :rule trans :premises (@p291 @p177)) % 0.40/0.67 (step @p293 :rule refl :args (tptp.ubforcartprodlem2)) % 0.40/0.67 (step @p294 :rule cong :premises (@p293 @p292) :args (@t337)) % 0.40/0.67 (step @p295 :rule refl :args (tptp.ubforcartprodlem1)) % 0.40/0.67 (step @p296 :rule cong :premises (@p295 @p294) :args (@t338)) % 0.40/0.67 (step @p297 :rule refl :args (tptp.upairinpowunion)) % 0.40/0.67 (step @p298 :rule cong :premises (@p297 @p296) 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0.40/0.67 (step @p743 :rule not_implies_elim2 :premises (@p742)) % 0.40/0.67 (step @p744 :rule not_implies_elim2 :premises (@p743)) % 0.40/0.67 (step @p745 :rule not_implies_elim2 :premises (@p744)) % 0.40/0.67 (step @p746 :rule not_implies_elim2 :premises (@p745)) % 0.40/0.67 (step @p747 :rule not_implies_elim2 :premises (@p746)) % 0.40/0.67 (step @p748 :rule not_implies_elim2 :premises (@p747)) % 0.40/0.67 (step @p749 :rule not_implies_elim2 :premises (@p748)) % 0.40/0.67 (step @p750 :rule not_implies_elim2 :premises (@p749)) % 0.40/0.67 (step @p751 :rule not_implies_elim2 :premises (@p750)) % 0.40/0.67 (step @p752 :rule not_implies_elim2 :premises (@p751)) % 0.40/0.67 (step @p753 :rule not_implies_elim2 :premises (@p752)) % 0.40/0.67 (step @p754 :rule not_implies_elim2 :premises (@p753)) % 0.40/0.67 (step @p755 :rule not_implies_elim2 :premises (@p754)) % 0.40/0.67 (step @p756 :rule not_implies_elim2 :premises (@p755)) % 0.40/0.67 (step @p757 :rule not_implies_elim2 :premises (@p756)) % 0.40/0.67 (step @p758 :rule not_implies_elim2 :premises (@p757)) % 0.40/0.67 (step @p759 :rule not_implies_elim2 :premises (@p758)) % 0.40/0.67 (step @p760 :rule not_implies_elim2 :premises (@p759)) % 0.40/0.67 (step @p761 :rule not_implies_elim2 :premises (@p760)) % 0.40/0.67 (step @p762 :rule not_implies_elim2 :premises (@p761)) % 0.40/0.67 (step @p763 :rule not_implies_elim2 :premises (@p762)) % 0.40/0.67 (step @p764 :rule not_implies_elim2 :premises (@p763)) % 0.40/0.67 (step @p765 :rule not_implies_elim2 :premises (@p764)) % 0.40/0.67 (step @p766 :rule not_implies_elim2 :premises (@p765)) % 0.40/0.67 (step @p767 :rule not_implies_elim2 :premises (@p766)) % 0.40/0.67 (step @p768 :rule not_implies_elim2 :premises (@p767)) % 0.40/0.67 (step @p769 :rule not_implies_elim2 :premises (@p768)) % 0.40/0.67 (step @p770 :rule not_implies_elim2 :premises (@p769)) % 0.40/0.67 (step @p771 :rule not_implies_elim2 :premises (@p770)) % 0.40/0.67 (step @p772 :rule not_implies_elim2 :premises (@p771)) % 0.40/0.67 (step @p773 :rule not_implies_elim2 :premises (@p772)) % 0.40/0.67 (step @p774 :rule not_implies_elim2 :premises (@p773)) % 0.40/0.67 (step @p775 :rule not_implies_elim2 :premises (@p774)) % 0.40/0.67 (step @p776 :rule not_implies_elim2 :premises (@p775)) % 0.40/0.67 (step @p777 :rule not_implies_elim2 :premises (@p776)) % 0.40/0.67 (step @p778 :rule not_implies_elim2 :premises (@p777)) % 0.40/0.67 (step @p779 :rule not_implies_elim2 :premises (@p778)) % 0.40/0.67 (step @p780 :rule not_implies_elim2 :premises (@p779)) % 0.40/0.67 (step @p781 :rule not_implies_elim2 :premises (@p780)) % 0.40/0.67 (step @p782 :rule not_implies_elim2 :premises (@p781)) % 0.40/0.67 (step @p783 :rule not_implies_elim2 :premises (@p782)) % 0.40/0.67 (step @p784 :rule not_implies_elim2 :premises (@p783)) % 0.40/0.67 (step @p785 :rule not_implies_elim2 :premises (@p784)) % 0.40/0.67 (step @p786 :rule not_implies_elim2 :premises (@p785)) % 0.40/0.67 (step @p787 :rule not_implies_elim2 :premises (@p786)) % 0.40/0.67 (step @p788 :rule not_implies_elim2 :premises (@p787)) % 0.40/0.67 (step @p789 :rule not_implies_elim2 :premises (@p788)) % 0.40/0.67 (step @p790 :rule not_implies_elim2 :premises (@p789)) % 0.40/0.67 (step @p791 :rule not_implies_elim2 :premises (@p790)) % 0.40/0.67 (step @p792 :rule not_implies_elim2 :premises (@p791)) % 0.40/0.67 (step @p793 :rule not_implies_elim2 :premises (@p792)) % 0.40/0.67 (step @p794 :rule not_implies_elim2 :premises (@p793)) % 0.40/0.67 (step @p795 :rule not_implies_elim2 :premises (@p794)) % 0.40/0.67 (step @p796 :rule not_implies_elim2 :premises (@p795)) % 0.40/0.67 (step @p797 :rule not_implies_elim2 :premises (@p796)) % 0.40/0.67 (step @p798 :rule not_implies_elim2 :premises (@p797)) % 0.40/0.67 (step @p799 :rule not_implies_elim2 :premises (@p798)) % 0.40/0.67 (step @p800 :rule not_implies_elim2 :premises (@p799)) % 0.40/0.67 (step @p801 :rule not_implies_elim2 :premises (@p800)) % 0.40/0.67 (step @p802 :rule not_implies_elim2 :premises (@p801)) % 0.40/0.67 (step @p803 :rule not_implies_elim2 :premises (@p802)) % 0.40/0.67 (step @p804 :rule not_implies_elim2 :premises (@p803)) % 0.40/0.67 (step @p805 :rule not_implies_elim2 :premises (@p804)) % 0.40/0.67 (step @p806 :rule not_implies_elim2 :premises (@p805)) % 0.40/0.67 (step @p807 :rule not_implies_elim2 :premises (@p806)) % 0.40/0.67 (step @p808 :rule not_implies_elim2 :premises (@p807)) % 0.40/0.67 (step @p809 :rule not_implies_elim2 :premises (@p808)) % 0.40/0.67 (step @p810 :rule not_implies_elim2 :premises (@p809)) % 0.40/0.67 (step @p811 :rule not_implies_elim2 :premises (@p810)) % 0.40/0.67 (step @p812 :rule not_implies_elim2 :premises (@p811)) % 0.40/0.67 (step @p813 :rule not_implies_elim2 :premises (@p812)) % 0.40/0.67 (step @p814 :rule not_implies_elim2 :premises (@p813)) % 0.40/0.67 (step @p815 :rule not_implies_elim2 :premises (@p814)) % 0.40/0.67 (step @p816 :rule not_implies_elim2 :premises (@p815)) % 0.40/0.67 (step @p817 :rule not_implies_elim2 :premises (@p816)) % 0.40/0.67 (step @p818 :rule not_implies_elim2 :premises (@p817)) % 0.40/0.67 (step @p819 :rule not_implies_elim2 :premises (@p818)) % 0.40/0.67 (step @p820 :rule not_implies_elim2 :premises (@p819)) % 0.40/0.67 (step @p821 :rule not_implies_elim2 :premises (@p820)) % 0.40/0.67 (step @p822 :rule not_implies_elim2 :premises (@p821)) % 0.40/0.67 (step @p823 :rule not_implies_elim2 :premises (@p822)) % 0.40/0.67 (step @p824 :rule not_implies_elim2 :premises (@p823)) % 0.40/0.67 (step @p825 :rule not_implies_elim2 :premises (@p824)) % 0.40/0.67 (step @p826 :rule not_implies_elim2 :premises (@p825)) % 0.40/0.67 (step @p827 :rule not_implies_elim2 :premises (@p826)) % 0.40/0.67 (step @p828 :rule not_implies_elim2 :premises (@p827)) % 0.40/0.67 (step @p829 :rule not_implies_elim2 :premises (@p828)) % 0.40/0.67 (step @p830 :rule not_implies_elim2 :premises (@p829)) % 0.40/0.67 (step @p831 :rule not_implies_elim2 :premises (@p830)) % 0.40/0.67 (step @p832 :rule not_implies_elim2 :premises (@p831)) % 0.40/0.67 (step @p833 :rule not_implies_elim2 :premises (@p832)) % 0.40/0.67 (step @p834 :rule not_implies_elim2 :premises (@p833)) % 0.40/0.67 (step @p835 :rule not_implies_elim2 :premises (@p834)) % 0.40/0.67 (step @p836 :rule not_implies_elim2 :premises (@p835)) % 0.40/0.67 (step @p837 :rule not_implies_elim2 :premises (@p836)) % 0.40/0.67 (step @p838 :rule not_implies_elim2 :premises (@p837)) % 0.40/0.67 (step @p839 :rule not_implies_elim2 :premises (@p838)) % 0.40/0.67 (step @p840 :rule not_implies_elim2 :premises (@p839)) % 0.40/0.67 (step @p841 :rule not_implies_elim2 :premises (@p840)) % 0.40/0.67 (step @p842 :rule not_implies_elim2 :premises (@p841)) % 0.40/0.67 (step @p843 :rule not_implies_elim2 :premises (@p842)) % 0.40/0.67 (step @p844 :rule not_implies_elim2 :premises (@p843)) % 0.40/0.67 (step @p845 :rule not_implies_elim2 :premises (@p844)) % 0.40/0.67 (step @p846 :rule not_implies_elim2 :premises (@p845)) % 0.40/0.67 (step @p847 :rule not_implies_elim2 :premises (@p846)) % 0.40/0.67 (step @p848 :rule not_implies_elim2 :premises (@p847)) % 0.40/0.67 (step @p849 :rule not_implies_elim2 :premises (@p848)) % 0.40/0.67 (step @p850 :rule not_implies_elim2 :premises (@p849)) % 0.40/0.67 (step @p851 :rule not_implies_elim2 :premises (@p850)) % 0.40/0.67 (step @p852 :rule not_implies_elim2 :premises (@p851)) % 0.40/0.67 (step @p853 :rule not_implies_elim2 :premises (@p852)) % 0.40/0.67 (step @p854 :rule not_implies_elim2 :premises (@p853)) % 0.40/0.67 (step @p855 :rule not_implies_elim2 :premises (@p854)) % 0.40/0.67 (step @p856 :rule not_implies_elim2 :premises (@p855)) % 0.40/0.67 (step @p857 :rule not_implies_elim2 :premises (@p856)) % 0.40/0.67 (step @p858 :rule not_implies_elim2 :premises (@p857)) % 0.40/0.67 (step @p859 :rule not_implies_elim2 :premises (@p858)) % 0.40/0.67 (step @p860 :rule not_implies_elim2 :premises (@p859)) % 0.40/0.67 (step @p861 :rule not_implies_elim2 :premises (@p860)) % 0.40/0.67 (step @p862 :rule not_implies_elim2 :premises (@p861)) % 0.40/0.67 (step @p863 :rule not_implies_elim2 :premises (@p862)) % 0.40/0.67 (step @p864 :rule not_implies_elim2 :premises (@p863)) % 0.40/0.67 (step @p865 :rule not_implies_elim2 :premises (@p864)) % 0.40/0.67 (step @p866 :rule not_implies_elim2 :premises (@p865)) % 0.40/0.67 (step @p867 :rule not_implies_elim2 :premises (@p866)) % 0.40/0.67 (step @p868 :rule not_implies_elim2 :premises (@p867)) % 0.40/0.67 (step @p869 :rule not_implies_elim2 :premises (@p868)) % 0.40/0.67 (step @p870 :rule not_implies_elim2 :premises (@p869)) % 0.40/0.67 (step @p871 :rule not_implies_elim2 :premises (@p870)) % 0.40/0.67 (step @p872 :rule not_implies_elim2 :premises (@p871)) % 0.40/0.67 (step @p873 :rule not_implies_elim2 :premises (@p872)) % 0.40/0.67 (step @p874 :rule not_implies_elim2 :premises (@p873)) % 0.40/0.67 (step @p875 :rule not_implies_elim2 :premises (@p874)) % 0.40/0.67 (step @p876 :rule not_implies_elim2 :premises (@p875)) % 0.40/0.67 (step @p877 :rule not_implies_elim2 :premises (@p876)) % 0.40/0.67 (step @p878 :rule not_implies_elim2 :premises (@p877)) % 0.40/0.67 (step @p879 :rule not_implies_elim2 :premises (@p878)) % 0.40/0.67 (step @p880 :rule not_implies_elim2 :premises (@p879)) % 0.40/0.67 (step @p881 :rule not_implies_elim2 :premises (@p880)) % 0.40/0.67 (step @p882 :rule not_implies_elim2 :premises (@p881)) % 0.40/0.67 (step @p883 :rule not_implies_elim2 :premises (@p882)) % 0.40/0.67 (step @p884 :rule not_implies_elim2 :premises (@p883)) % 0.40/0.67 (step @p885 :rule not_implies_elim2 :premises (@p884)) % 0.40/0.67 (step @p886 :rule not_implies_elim1 :premises (@p884)) % 0.40/0.67 (step @p887 :rule cnf_equiv_pos1 :args ((= tptp.ubforcartprodlem2 @t482))) % 0.40/0.67 (step @p888 :rule chain_resolution :premises (@p887 @p886 @p885) :args ((@list false true) (@list tptp.ubforcartprodlem2 @t482))) % 0.40/0.67 (step @p889 :rule cong :premises (@p289 @p275) :args (@t145)) % 0.40/0.67 (step @p890 :rule cong :premises (@p889) :args (@t146)) % 0.40/0.67 (step @p891 :rule trans :premises (@p890 @p177)) % 0.40/0.67 (step @p892 :rule cong :premises (@p293 @p891) :args (@t147)) % 0.40/0.67 (step @p893 :rule eq_resolve :premises (@p145 @p892)) % 0.40/0.67 (step @p894 false :rule contra :premises (@p893 @p888)) % 0.40/0.67 ) % 0.40/0.67 % SZS output end Proof % 0.40/0.67 % cvc5 exiting %------------------------------------------------------------------------------