%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU589^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:52:19 AM UTC 2026 % Result : Theorem 0.41s 0.93s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU589^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.36 % Computer : n020.cluster.edu % 0.18/0.36 % Model : x86_64 x86_64 % 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.36 % Memory : 8042.1875MB % 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.36 % CPULimit : 300 % 0.18/0.36 % WCLimit : 300 % 0.18/0.36 % DateTime : Tue Jun 2 17:42:41 EDT 2026 % 0.18/0.36 % CPUTime : % 0.33/0.55 %----Proving TH0 % 0.41/0.93 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/0.93 % SZS status Theorem % 0.41/0.93 % SZS output start Proof % 0.41/0.93 ( % 0.41/0.93 (declare-sort $$unsorted 0) % 0.41/0.93 (declare-const tptp.emptyset $$unsorted) % 0.41/0.93 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.41/0.93 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.41/0.93 (declare-const tptp.binunionEcases Bool) % 0.41/0.93 (declare-const tptp.binunionIR Bool) % 0.41/0.93 (declare-const tptp.binunionIL Bool) % 0.41/0.93 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.93 (declare-const tptp.setextsub Bool) % 0.41/0.93 (declare-const tptp.setadjoinSub2 Bool) % 0.41/0.93 (declare-const tptp.setadjoinSub Bool) % 0.41/0.93 (declare-const tptp.notequalI2 Bool) % 0.41/0.93 (declare-const tptp.notsubsetI Bool) % 0.41/0.93 (declare-const tptp.emptysetsubset Bool) % 0.41/0.93 (declare-const tptp.subsetI2 Bool) % 0.41/0.93 (declare-const tptp.eqimpsubset2 Bool) % 0.41/0.93 (declare-const tptp.powerset__Cong Bool) % 0.41/0.93 (declare-const tptp.setadjoin__Cong Bool) % 0.41/0.93 (declare-const tptp.emptyset__Cong Bool) % 0.41/0.93 (declare-const tptp.exu__Cong Bool) % 0.41/0.93 (declare-const tptp.in__Cong Bool) % 0.41/0.93 (declare-const tptp.inCongP Bool) % 0.41/0.93 (declare-const tptp.subsetE2 Bool) % 0.41/0.93 (declare-const tptp.exuI3 Bool) % 0.41/0.93 (declare-const tptp.subsetE Bool) % 0.41/0.93 (declare-const tptp.exuI1 Bool) % 0.41/0.93 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.41/0.93 (declare-const tptp.subsetI1 Bool) % 0.41/0.93 (declare-const tptp.quantDeMorgan3 Bool) % 0.41/0.93 (declare-const tptp.quantDeMorgan2 Bool) % 0.41/0.93 (declare-const tptp.sepSubset Bool) % 0.41/0.93 (declare-const tptp.dsetconstr__Cong Bool) % 0.41/0.93 (declare-const tptp.quantDeMorgan1 Bool) % 0.41/0.93 (declare-const tptp.sepInPowerset Bool) % 0.41/0.93 (declare-const tptp.vacuousDall Bool) % 0.41/0.93 (declare-const tptp.exuE3e Bool) % 0.41/0.93 (declare-const tptp.notequalI1 Bool) % 0.41/0.93 (declare-const tptp.emptysetE Bool) % 0.41/0.93 (declare-const tptp.omega__Cong Bool) % 0.41/0.93 (declare-const tptp.setadjoinIL Bool) % 0.41/0.93 (declare-const tptp.prop2setE Bool) % 0.41/0.93 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.41/0.93 (declare-const tptp.binunionLsub Bool) % 0.41/0.93 (declare-const tptp.dsetconstrEL Bool) % 0.41/0.93 (declare-const tptp.prop2setI Bool) % 0.41/0.93 (declare-const tptp.emptyinPowerset Bool) % 0.41/0.93 (declare-const tptp.dsetconstrI Bool) % 0.41/0.93 (declare-const tptp.setext Bool) % 0.41/0.93 (declare-const tptp.nonemptyImpWitness Bool) % 0.41/0.93 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.41/0.93 (declare-const tptp.wellorderingAx Bool) % 0.41/0.93 (declare-const tptp.replAx Bool) % 0.41/0.93 (declare-const tptp.upairsetE Bool) % 0.41/0.93 (declare-const tptp.setextAx Bool) % 0.41/0.93 (declare-const tptp.setadjoinOr Bool) % 0.41/0.93 (declare-const tptp.subsetTrans Bool) % 0.41/0.93 (declare-const tptp.exuE3u Bool) % 0.41/0.93 (declare-const tptp.uniqinunit Bool) % 0.41/0.93 (declare-const tptp.foundationAx Bool) % 0.41/0.93 (declare-const tptp.emptysetimpfalse Bool) % 0.41/0.93 (declare-const tptp.subsetRefl Bool) % 0.41/0.93 (declare-const tptp.notinemptyset Bool) % 0.41/0.93 (declare-const tptp.setadjoinIR Bool) % 0.41/0.93 (declare-const tptp.exuE2 Bool) % 0.41/0.93 (declare-const tptp.powersetsubset Bool) % 0.41/0.93 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.93 (declare-const tptp.binunionRsub Bool) % 0.41/0.93 (declare-const tptp.notdallE Bool) % 0.41/0.93 (declare-const tptp.dsetconstrER Bool) % 0.41/0.93 (declare-const tptp.binunionE Bool) % 0.41/0.93 (declare-const tptp.eqimpsubset1 Bool) % 0.41/0.93 (declare-const tptp.emptyInPowerset Bool) % 0.41/0.93 (declare-const tptp.exuEu Bool) % 0.41/0.93 (declare-const tptp.setadjoinAx Bool) % 0.41/0.93 (declare-const tptp.subsetemptysetimpeq Bool) % 0.41/0.93 (declare-const tptp.nonemptyE1 Bool) % 0.41/0.93 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.41/0.93 (declare-const tptp.powersetAx Bool) % 0.41/0.93 (declare-const tptp.prop2set2propI Bool) % 0.41/0.93 (declare-const tptp.powersetE Bool) % 0.41/0.93 (declare-const tptp.omegaSAx Bool) % 0.41/0.93 (declare-const tptp.upairset2IR Bool) % 0.41/0.93 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.41/0.93 (declare-const tptp.descrp Bool) % 0.41/0.93 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.41/0.93 (declare-const tptp.omega0Ax Bool) % 0.41/0.93 (declare-const tptp.setoftrueEq Bool) % 0.41/0.93 (declare-const tptp.setunionAx Bool) % 0.41/0.93 (declare-const tptp.omega $$unsorted) % 0.41/0.93 (declare-const tptp.omegaIndAx Bool) % 0.41/0.93 (declare-const tptp.quantDeMorgan4 Bool) % 0.41/0.93 (declare-const tptp.powersetI Bool) % 0.41/0.93 (declare-const tptp.emptyI Bool) % 0.41/0.93 (declare-const tptp.noeltsimpempty Bool) % 0.41/0.93 (declare-const tptp.eqinunit Bool) % 0.41/0.93 (declare-const tptp.powersetI1 Bool) % 0.41/0.93 (declare-const tptp.upairsetIL Bool) % 0.41/0.93 (declare-const tptp.nonemptyI Bool) % 0.41/0.93 (declare-const tptp.emptysetAx Bool) % 0.41/0.93 (declare-const tptp.nonemptyI1 Bool) % 0.41/0.93 (declare-const tptp.descr__Cong Bool) % 0.41/0.93 (declare-const tptp.emptyinunitempty Bool) % 0.41/0.93 (declare-const tptp.setadjoinE Bool) % 0.41/0.93 (declare-const tptp.notdexE Bool) % 0.41/0.93 (declare-const tptp.setunionI Bool) % 0.41/0.93 (declare-const tptp.exuE1 Bool) % 0.41/0.93 (declare-const tptp.setunionE Bool) % 0.41/0.93 (declare-const tptp.exuI2 Bool) % 0.41/0.93 (declare-const tptp.subPowSU Bool) % 0.41/0.93 (declare-const tptp.notinsingleton Bool) % 0.41/0.93 (declare-const tptp.subset2powerset Bool) % 0.41/0.93 (declare-const tptp.setbeta Bool) % 0.41/0.93 (declare-const tptp.singletonsswitch Bool) % 0.41/0.93 (declare-const tptp.powersetE1 Bool) % 0.41/0.93 (declare-const tptp.setunion__Cong Bool) % 0.41/0.93 (declare-const tptp.upairsetIR Bool) % 0.41/0.93 (declare-const tptp.inPowerset Bool) % 0.41/0.93 (declare-const tptp.emptyE1 Bool) % 0.41/0.93 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.41/0.93 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.41/0.93 (define tptp.binintersect () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_1) (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_2) (_ (_ tptp.in _let_2) _let_1)))))))) % 0.41/0.93 (define @t1 () (@var "B" $$unsorted)) % 0.41/0.93 (define @t2 () (@var "A" $$unsorted)) % 0.41/0.93 (define @t3 () (= @t2 @t1)) % 0.41/0.93 (define @t4 () (@var "Xx" $$unsorted)) % 0.41/0.93 (define @t5 () (_ tptp.in @t4)) % 0.41/0.93 (define @t6 () (_ @t5 @t1)) % 0.41/0.93 (define @t7 () (_ @t5 @t2)) % 0.41/0.93 (define @t8 () (= @t7 @t6)) % 0.41/0.93 (define @t9 () (@list @t4)) % 0.41/0.93 (define @t10 () (forall @t9 @t8)) % 0.41/0.93 (define @t11 () (=> @t10 @t3)) % 0.41/0.93 (define @t12 () (@list @t2 @t1)) % 0.41/0.93 (define @t13 () (forall @t12 @t11)) % 0.41/0.93 (define @t14 () (= tptp.setextAx @t13)) % 0.41/0.93 (define @t15 () (_ @t5 tptp.emptyset)) % 0.41/0.93 (define @t16 () (not @t15)) % 0.41/0.93 (define @t17 () (forall @t9 @t16)) % 0.41/0.93 (define @t18 () (= tptp.emptysetAx @t17)) % 0.41/0.93 (define @t19 () (@var "Xy" $$unsorted)) % 0.41/0.93 (define @t20 () (_ tptp.in @t19)) % 0.41/0.93 (define @t21 () (_ @t20 @t2)) % 0.41/0.93 (define @t22 () (= @t19 @t4)) % 0.41/0.93 (define @t23 () (or @t22 @t21)) % 0.41/0.93 (define @t24 () (_ tptp.setadjoin @t4)) % 0.41/0.93 (define @t25 () (_ @t24 @t2)) % 0.41/0.93 (define @t26 () (_ @t20 @t25)) % 0.41/0.93 (define @t27 () (= @t26 @t23)) % 0.41/0.93 (define @t28 () (@list @t4 @t2 @t19)) % 0.41/0.93 (define @t29 () (forall @t28 @t27)) % 0.41/0.93 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.41/0.93 (define @t31 () (=> @t6 @t7)) % 0.41/0.93 (define @t32 () (forall @t9 @t31)) % 0.41/0.93 (define @t33 () (_ tptp.powerset @t2)) % 0.41/0.93 (define @t34 () (_ tptp.in @t1)) % 0.41/0.93 (define @t35 () (_ @t34 @t33)) % 0.41/0.93 (define @t36 () (= @t35 @t32)) % 0.41/0.93 (define @t37 () (forall @t12 @t36)) % 0.41/0.93 (define @t38 () (= tptp.powersetAx @t37)) % 0.41/0.93 (define @t39 () (_ @t34 @t2)) % 0.41/0.93 (define @t40 () (and @t6 @t39)) % 0.41/0.93 (define @t41 () (@list @t1)) % 0.41/0.93 (define @t42 () (exists @t41 @t40)) % 0.41/0.93 (define @t43 () (_ tptp.setunion @t2)) % 0.41/0.93 (define @t44 () (_ @t5 @t43)) % 0.41/0.93 (define @t45 () (= @t44 @t42)) % 0.41/0.93 (define @t46 () (@list @t2 @t4)) % 0.41/0.93 (define @t47 () (forall @t46 @t45)) % 0.41/0.93 (define @t48 () (= tptp.setunionAx @t47)) % 0.41/0.93 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.41/0.93 (define @t50 () (_ @t49 tptp.omega)) % 0.41/0.93 (define @t51 () (_ @t24 @t4)) % 0.41/0.93 (define @t52 () (_ tptp.in @t51)) % 0.41/0.93 (define @t53 () (_ @t52 tptp.omega)) % 0.41/0.93 (define @t54 () (_ @t5 tptp.omega)) % 0.41/0.93 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.41/0.93 (define @t56 () (= tptp.omegaSAx @t55)) % 0.41/0.93 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.41/0.93 (define @t58 () (_ @t52 @t2)) % 0.41/0.93 (define @t59 () (and @t54 @t7)) % 0.41/0.93 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.41/0.93 (define @t61 () (_ @t49 @t2)) % 0.41/0.93 (define @t62 () (and @t61 @t60)) % 0.41/0.93 (define @t63 () (=> @t62 @t57)) % 0.41/0.93 (define @t64 () (@list @t2)) % 0.41/0.93 (define @t65 () (forall @t64 @t63)) % 0.41/0.93 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.41/0.93 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.41/0.93 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.41/0.93 (define @t69 () (and @t21 @t68)) % 0.41/0.93 (define @t70 () (@list @t19)) % 0.41/0.93 (define @t71 () (exists @t70 @t69)) % 0.41/0.93 (define @t72 () (= @t6 @t71)) % 0.41/0.93 (define @t73 () (forall @t9 @t72)) % 0.41/0.93 (define @t74 () (exists @t41 @t73)) % 0.41/0.93 (define @t75 () (_ @t67 @t4)) % 0.41/0.93 (define @t76 () (_ @t75 @t19)) % 0.41/0.93 (define @t77 () (lambda @t70 @t76)) % 0.41/0.93 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.41/0.93 (define @t79 () (forall @t9 @t78)) % 0.41/0.93 (define @t80 () (=> @t79 @t74)) % 0.41/0.93 (define @t81 () (@list @t67 @t2)) % 0.41/0.93 (define @t82 () (forall @t81 @t80)) % 0.41/0.93 (define @t83 () (= tptp.replAx @t82)) % 0.41/0.93 (define @t84 () (and @t6 @t7)) % 0.41/0.93 (define @t85 () (exists @t9 @t84)) % 0.41/0.93 (define @t86 () (not @t85)) % 0.41/0.93 (define @t87 () (and @t39 @t86)) % 0.41/0.93 (define @t88 () (exists @t41 @t87)) % 0.41/0.93 (define @t89 () (exists @t9 @t7)) % 0.41/0.93 (define @t90 () (=> @t89 @t88)) % 0.41/0.93 (define @t91 () (forall @t64 @t90)) % 0.41/0.93 (define @t92 () (= tptp.foundationAx @t91)) % 0.41/0.93 (define @t93 () (@var "E" $$unsorted)) % 0.41/0.93 (define @t94 () (_ @t5 @t93)) % 0.41/0.93 (define @t95 () (@var "D" $$unsorted)) % 0.41/0.93 (define @t96 () (_ @t20 @t95)) % 0.41/0.93 (define @t97 () (_ @t20 @t93)) % 0.41/0.93 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.41/0.93 (define @t99 () (or @t98 @t94)) % 0.41/0.93 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.41/0.93 (define @t101 () (=> @t100 @t99)) % 0.41/0.93 (define @t102 () (@list @t93)) % 0.41/0.93 (define @t103 () (forall @t102 @t101)) % 0.41/0.93 (define @t104 () (@var "C" $$unsorted)) % 0.41/0.93 (define @t105 () (_ @t20 @t104)) % 0.41/0.93 (define @t106 () (and @t96 @t105)) % 0.41/0.93 (define @t107 () (exists @t70 @t106)) % 0.41/0.93 (define @t108 () (not @t107)) % 0.41/0.93 (define @t109 () (_ @t5 @t104)) % 0.41/0.93 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.41/0.93 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.41/0.93 (define @t112 () (@list @t95 @t4)) % 0.41/0.93 (define @t113 () (exists @t112 @t111)) % 0.41/0.93 (define @t114 () (exists @t9 @t109)) % 0.41/0.93 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.41/0.93 (define @t116 () (and @t115 @t114)) % 0.41/0.93 (define @t117 () (=> @t116 @t113)) % 0.41/0.93 (define @t118 () (@list @t104)) % 0.41/0.93 (define @t119 () (forall @t118 @t117)) % 0.41/0.93 (define @t120 () (_ @t5 @t95)) % 0.41/0.93 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.41/0.93 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.41/0.93 (define @t123 () (or @t122 @t121)) % 0.41/0.93 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.41/0.93 (define @t125 () (and @t124 @t110)) % 0.41/0.93 (define @t126 () (=> @t125 @t123)) % 0.41/0.93 (define @t127 () (@list @t104 @t95)) % 0.41/0.93 (define @t128 () (forall @t127 @t126)) % 0.41/0.93 (define @t129 () (= @t4 @t19)) % 0.41/0.93 (define @t130 () (= @t109 @t105)) % 0.41/0.93 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.41/0.93 (define @t132 () (=> @t131 @t129)) % 0.41/0.93 (define @t133 () (and @t7 @t21)) % 0.41/0.93 (define @t134 () (=> @t133 @t132)) % 0.41/0.93 (define @t135 () (@list @t4 @t19)) % 0.41/0.93 (define @t136 () (forall @t135 @t134)) % 0.41/0.93 (define @t137 () (=> @t124 @t115)) % 0.41/0.93 (define @t138 () (forall @t118 @t137)) % 0.41/0.93 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.41/0.93 (define @t140 () (exists @t41 @t139)) % 0.41/0.93 (define @t141 () (forall @t64 @t140)) % 0.41/0.93 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.41/0.93 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.41/0.93 (define @t144 () (_ @t143 @t4)) % 0.41/0.93 (define @t145 () (lambda @t9 @t144)) % 0.41/0.93 (define @t146 () (_ tptp.descr @t145)) % 0.41/0.93 (define @t147 () (_ @t143 @t146)) % 0.41/0.93 (define @t148 () (_ tptp.exu @t145)) % 0.41/0.93 (define @t149 () (=> @t148 @t147)) % 0.41/0.93 (define @t150 () (@list @t143)) % 0.41/0.93 (define @t151 () (forall @t150 @t149)) % 0.41/0.93 (define @t152 () (= tptp.descrp @t151)) % 0.41/0.93 (define @t153 () (_ @t143 @t19)) % 0.41/0.93 (define @t154 () (lambda @t70 @t153)) % 0.41/0.93 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.41/0.93 (define @t156 () (_ @t155 @t154)) % 0.41/0.93 (define @t157 () (_ @t5 @t156)) % 0.41/0.93 (define @t158 () (=> @t144 @t157)) % 0.41/0.93 (define @t159 () (@list @t2 @t143 @t4)) % 0.41/0.93 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.41/0.93 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.41/0.93 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.41/0.93 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.41/0.93 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.41/0.93 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.41/0.93 (define @t166 () (=> @t153 @t129)) % 0.41/0.93 (define @t167 () (forall @t70 @t166)) % 0.41/0.93 (define @t168 () (and @t144 @t167)) % 0.41/0.93 (define @t169 () (exists @t9 @t168)) % 0.41/0.93 (define @t170 () (=> @t148 @t169)) % 0.41/0.93 (define @t171 () (forall @t150 @t170)) % 0.41/0.93 (define @t172 () (= tptp.exuE1 @t171)) % 0.41/0.93 (define @t173 () (@var "Xphi" Bool)) % 0.41/0.93 (define @t174 () (_ tptp.prop2set @t173)) % 0.41/0.93 (define @t175 () (_ @t5 @t174)) % 0.41/0.93 (define @t176 () (@list @t173 @t4)) % 0.41/0.93 (define @t177 () (forall @t176 (=> @t175 @t173))) % 0.41/0.93 (define @t178 () (= tptp.prop2setE @t177)) % 0.41/0.93 (define @t179 () (@list @t173)) % 0.41/0.93 (define @t180 () (forall @t179 @t173)) % 0.41/0.93 (define @t181 () (=> @t15 @t180)) % 0.41/0.93 (define @t182 () (forall @t9 @t181)) % 0.41/0.93 (define @t183 () (= tptp.emptysetE @t182)) % 0.41/0.93 (define @t184 () (forall @t9 (=> @t15 false))) % 0.41/0.93 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 0.41/0.93 (define @t186 () (exists @t9 @t144)) % 0.41/0.93 (define @t187 () (=> @t148 @t186)) % 0.41/0.93 (define @t188 () (forall @t150 @t187)) % 0.41/0.93 (define @t189 () (= tptp.exuE3e @t188)) % 0.41/0.93 (define @t190 () (=> @t32 @t3)) % 0.41/0.93 (define @t191 () (=> @t7 @t6)) % 0.41/0.93 (define @t192 () (forall @t9 @t191)) % 0.41/0.93 (define @t193 () (=> @t192 @t190)) % 0.41/0.93 (define @t194 () (forall @t12 @t193)) % 0.41/0.93 (define @t195 () (= tptp.setext @t194)) % 0.41/0.93 (define @t196 () (= @t2 tptp.emptyset)) % 0.41/0.93 (define @t197 () (not @t7)) % 0.41/0.93 (define @t198 () (forall @t9 @t197)) % 0.41/0.93 (define @t199 () (=> @t198 @t196)) % 0.41/0.93 (define @t200 () (forall @t64 @t199)) % 0.41/0.93 (define @t201 () (= tptp.emptyI @t200)) % 0.41/0.93 (define @t202 () (=> @t7 (= @t157 @t144))) % 0.41/0.93 (define @t203 () (forall @t159 @t202)) % 0.41/0.93 (define @t204 () (= tptp.setbeta @t203)) % 0.41/0.93 (define @t205 () (_ tptp.nonempty @t2)) % 0.41/0.93 (define @t206 () (=> @t205 @t89)) % 0.41/0.93 (define @t207 () (forall @t64 @t206)) % 0.41/0.93 (define @t208 () (= tptp.nonemptyE1 @t207)) % 0.41/0.93 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 0.41/0.93 (define @t210 () (=> @t7 @t209)) % 0.41/0.93 (define @t211 () (forall @t159 @t210)) % 0.41/0.93 (define @t212 () (= tptp.nonemptyI @t211)) % 0.41/0.93 (define @t213 () (=> @t89 @t205)) % 0.41/0.93 (define @t214 () (forall @t64 @t213)) % 0.41/0.93 (define @t215 () (= tptp.nonemptyI1 @t214)) % 0.41/0.93 (define @t216 () (_ @t24 @t19)) % 0.41/0.93 (define @t217 () (_ @t5 @t216)) % 0.41/0.93 (define @t218 () (forall @t135 @t217)) % 0.41/0.93 (define @t219 () (= tptp.setadjoinIL @t218)) % 0.41/0.93 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.41/0.93 (define @t221 () (_ @t49 @t220)) % 0.41/0.93 (define @t222 () (forall @t28 (=> @t21 @t26))) % 0.41/0.93 (define @t223 () (= tptp.setadjoinIR @t222)) % 0.41/0.93 (define @t224 () (=> @t21 @t173)) % 0.41/0.93 (define @t225 () (=> @t224 @t173)) % 0.41/0.93 (define @t226 () (=> @t22 @t173)) % 0.41/0.93 (define @t227 () (=> @t226 @t225)) % 0.41/0.93 (define @t228 () (forall @t179 @t227)) % 0.41/0.93 (define @t229 () (=> @t26 @t228)) % 0.41/0.93 (define @t230 () (forall @t28 @t229)) % 0.41/0.93 (define @t231 () (= tptp.setadjoinE @t230)) % 0.41/0.93 (define @t232 () (=> @t26 @t23)) % 0.41/0.93 (define @t233 () (forall @t28 @t232)) % 0.41/0.93 (define @t234 () (= tptp.setadjoinOr @t233)) % 0.41/0.93 (define @t235 () (lambda @t9 true)) % 0.41/0.93 (define @t236 () (= (_ @t155 @t235) @t2)) % 0.41/0.93 (define @t237 () (forall @t64 @t236)) % 0.41/0.93 (define @t238 () (= tptp.setoftrueEq @t237)) % 0.41/0.93 (define @t239 () (=> @t32 @t35)) % 0.41/0.93 (define @t240 () (forall @t12 @t239)) % 0.41/0.93 (define @t241 () (= tptp.powersetI @t240)) % 0.41/0.93 (define @t242 () (_ @t49 @t33)) % 0.41/0.93 (define @t243 () (forall @t64 @t242)) % 0.41/0.93 (define @t244 () (= tptp.emptyinPowerset @t243)) % 0.41/0.93 (define @t245 () (@list @t2 @t1 @t4)) % 0.41/0.93 (define @t246 () (forall @t245 (=> @t35 @t31))) % 0.41/0.93 (define @t247 () (= tptp.powersetE @t246)) % 0.41/0.93 (define @t248 () (=> @t39 @t44)) % 0.41/0.93 (define @t249 () (@list @t2 @t4 @t1)) % 0.41/0.93 (define @t250 () (forall @t249 (=> @t6 @t248))) % 0.41/0.93 (define @t251 () (= tptp.setunionI @t250)) % 0.41/0.93 (define @t252 () (=> @t39 @t173)) % 0.41/0.93 (define @t253 () (forall @t41 (=> @t6 @t252))) % 0.41/0.93 (define @t254 () (=> @t253 @t173)) % 0.41/0.93 (define @t255 () (forall @t179 @t254)) % 0.41/0.93 (define @t256 () (=> @t44 @t255)) % 0.41/0.93 (define @t257 () (forall @t46 @t256)) % 0.41/0.93 (define @t258 () (= tptp.setunionE @t257)) % 0.41/0.93 (define @t259 () (_ tptp.powerset @t43)) % 0.41/0.93 (define @t260 () (_ @t5 @t259)) % 0.41/0.93 (define @t261 () (forall @t46 (=> @t7 @t260))) % 0.41/0.93 (define @t262 () (= tptp.subPowSU @t261)) % 0.41/0.93 (define @t263 () (= @t153 @t22)) % 0.41/0.93 (define @t264 () (forall @t70 @t263)) % 0.41/0.93 (define @t265 () (exists @t9 @t264)) % 0.41/0.93 (define @t266 () (=> @t148 @t265)) % 0.41/0.93 (define @t267 () (forall @t150 @t266)) % 0.41/0.93 (define @t268 () (= tptp.exuE2 @t267)) % 0.41/0.93 (define @t269 () (and @t7 true)) % 0.41/0.93 (define @t270 () (exists @t9 @t269)) % 0.41/0.93 (define @t271 () (=> @t205 @t270)) % 0.41/0.93 (define @t272 () (forall @t64 @t271)) % 0.41/0.93 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 0.41/0.93 (define @t274 () (_ tptp.setadjoin @t19)) % 0.41/0.93 (define @t275 () (_ @t274 tptp.emptyset)) % 0.41/0.93 (define @t276 () (_ @t5 @t275)) % 0.41/0.93 (define @t277 () (forall @t135 (=> @t276 @t129))) % 0.41/0.93 (define @t278 () (= tptp.uniqinunit @t277)) % 0.41/0.93 (define @t279 () (_ @t24 tptp.emptyset)) % 0.41/0.93 (define @t280 () (_ @t20 @t279)) % 0.41/0.93 (define @t281 () (not @t280)) % 0.41/0.93 (define @t282 () (not @t129)) % 0.41/0.93 (define @t283 () (forall @t135 (=> @t282 @t281))) % 0.41/0.93 (define @t284 () (= tptp.notinsingleton @t283)) % 0.41/0.93 (define @t285 () (forall @t135 (=> @t129 @t276))) % 0.41/0.93 (define @t286 () (= tptp.eqinunit @t285)) % 0.41/0.93 (define @t287 () (forall @t135 (=> @t276 @t280))) % 0.41/0.93 (define @t288 () (= tptp.singletonsswitch @t287)) % 0.41/0.93 (define @t289 () (@var "Xz" $$unsorted)) % 0.41/0.93 (define @t290 () (or (= @t289 @t4) (= @t289 @t19))) % 0.41/0.93 (define @t291 () (_ @t24 @t275)) % 0.41/0.93 (define @t292 () (_ tptp.in @t289)) % 0.41/0.93 (define @t293 () (_ @t292 @t291)) % 0.41/0.93 (define @t294 () (=> @t293 @t290)) % 0.41/0.93 (define @t295 () (@list @t4 @t19 @t289)) % 0.41/0.93 (define @t296 () (forall @t295 @t294)) % 0.41/0.93 (define @t297 () (= tptp.upairsetE @t296)) % 0.41/0.93 (define @t298 () (_ @t5 @t291)) % 0.41/0.93 (define @t299 () (forall @t135 @t298)) % 0.41/0.93 (define @t300 () (= tptp.upairsetIL @t299)) % 0.41/0.93 (define @t301 () (_ @t20 @t291)) % 0.41/0.93 (define @t302 () (forall @t135 @t301)) % 0.41/0.93 (define @t303 () (= tptp.upairsetIR @t302)) % 0.41/0.93 (define @t304 () (_ @t155 @t145)) % 0.41/0.93 (define @t305 () (= @t304 tptp.emptyset)) % 0.41/0.93 (define @t306 () (and @t7 @t144)) % 0.41/0.93 (define @t307 () (exists @t9 @t306)) % 0.41/0.93 (define @t308 () (=> @t307 (=> @t305 false))) % 0.41/0.93 (define @t309 () (@list @t2 @t143)) % 0.41/0.93 (define @t310 () (forall @t309 @t308)) % 0.41/0.93 (define @t311 () (= tptp.emptyE1 @t310)) % 0.41/0.93 (define @t312 () (@list @t143 @t4)) % 0.41/0.93 (define @t313 () (forall @t312 (=> @t15 @t144))) % 0.41/0.93 (define @t314 () (= tptp.vacuousDall @t313)) % 0.41/0.93 (define @t315 () (not @t144)) % 0.41/0.93 (define @t316 () (and @t7 @t315)) % 0.41/0.93 (define @t317 () (exists @t9 @t316)) % 0.41/0.93 (define @t318 () (forall @t9 (=> @t7 @t144))) % 0.41/0.93 (define @t319 () (not @t318)) % 0.41/0.93 (define @t320 () (=> @t319 @t317)) % 0.41/0.93 (define @t321 () (forall @t309 @t320)) % 0.41/0.93 (define @t322 () (= tptp.quantDeMorgan1 @t321)) % 0.41/0.93 (define @t323 () (not @t307)) % 0.41/0.93 (define @t324 () (forall @t9 (=> @t7 @t315))) % 0.41/0.93 (define @t325 () (=> @t324 @t323)) % 0.41/0.93 (define @t326 () (forall @t309 @t325)) % 0.41/0.93 (define @t327 () (= tptp.quantDeMorgan2 @t326)) % 0.41/0.93 (define @t328 () (=> @t323 @t324)) % 0.41/0.93 (define @t329 () (forall @t309 @t328)) % 0.41/0.93 (define @t330 () (= tptp.quantDeMorgan3 @t329)) % 0.41/0.93 (define @t331 () (=> @t317 @t319)) % 0.41/0.93 (define @t332 () (forall @t309 @t331)) % 0.41/0.93 (define @t333 () (= tptp.quantDeMorgan4 @t332)) % 0.41/0.93 (define @t334 () (_ @t49 @t174)) % 0.41/0.93 (define @t335 () (forall @t179 (=> @t173 @t334))) % 0.41/0.93 (define @t336 () (= tptp.prop2setI @t335)) % 0.41/0.93 (define @t337 () (_ tptp.set2prop @t174)) % 0.41/0.93 (define @t338 () (forall @t179 (=> @t173 @t337))) % 0.41/0.93 (define @t339 () (= tptp.prop2set2propI @t338)) % 0.41/0.93 (define @t340 () (=> @t169 @t148)) % 0.41/0.93 (define @t341 () (forall @t150 @t340)) % 0.41/0.93 (define @t342 () (= tptp.exuI1 @t341)) % 0.41/0.93 (define @t343 () (forall @t135 (=> @t144 @t166))) % 0.41/0.93 (define @t344 () (=> @t343 @t148)) % 0.41/0.93 (define @t345 () (=> @t186 @t344)) % 0.41/0.93 (define @t346 () (forall @t150 @t345)) % 0.41/0.93 (define @t347 () (= tptp.exuI3 @t346)) % 0.41/0.93 (define @t348 () (=> @t265 @t148)) % 0.41/0.93 (define @t349 () (forall @t150 @t348)) % 0.41/0.93 (define @t350 () (= tptp.exuI2 @t349)) % 0.41/0.93 (define @t351 () (_ @t20 @t1)) % 0.41/0.93 (define @t352 () (=> @t7 @t351)) % 0.41/0.93 (define @t353 () (forall @t135 (=> @t129 @t352))) % 0.41/0.93 (define @t354 () (=> @t3 @t353)) % 0.41/0.93 (define @t355 () (forall @t12 @t354)) % 0.41/0.93 (define @t356 () (= tptp.inCongP @t355)) % 0.41/0.93 (define @t357 () (= @t7 @t351)) % 0.41/0.93 (define @t358 () (forall @t135 (=> @t129 @t357))) % 0.41/0.93 (define @t359 () (=> @t3 @t358)) % 0.41/0.93 (define @t360 () (forall @t12 @t359)) % 0.41/0.93 (define @t361 () (= tptp.in__Cong @t360)) % 0.41/0.93 (define @t362 () (=> @t148 @t343)) % 0.41/0.93 (define @t363 () (forall @t150 @t362)) % 0.41/0.93 (define @t364 () (= tptp.exuE3u @t363)) % 0.41/0.93 (define @t365 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.41/0.93 (define @t366 () (_ @t365 @t4)) % 0.41/0.93 (define @t367 () (lambda @t9 @t366)) % 0.41/0.93 (define @t368 () (_ tptp.exu @t367)) % 0.41/0.93 (define @t369 () (= @t148 @t368)) % 0.41/0.93 (define @t370 () (_ @t365 @t19)) % 0.41/0.93 (define @t371 () (= @t144 @t370)) % 0.41/0.93 (define @t372 () (=> @t129 @t371)) % 0.41/0.93 (define @t373 () (forall @t135 @t372)) % 0.41/0.93 (define @t374 () (=> @t373 @t369)) % 0.41/0.93 (define @t375 () (@list @t143 @t365)) % 0.41/0.93 (define @t376 () (forall @t375 @t374)) % 0.41/0.93 (define @t377 () (= tptp.exu__Cong @t376)) % 0.41/0.93 (define @t378 () (= tptp.emptyset tptp.emptyset)) % 0.41/0.93 (define @t379 () (= tptp.emptyset__Cong @t378)) % 0.41/0.93 (define @t380 () (@var "Xu" $$unsorted)) % 0.41/0.93 (define @t381 () (_ @t274 @t380)) % 0.41/0.93 (define @t382 () (_ @t24 @t289)) % 0.41/0.93 (define @t383 () (= @t382 @t381)) % 0.41/0.93 (define @t384 () (= @t289 @t380)) % 0.41/0.93 (define @t385 () (@list @t289 @t380)) % 0.41/0.93 (define @t386 () (forall @t385 (=> @t384 @t383))) % 0.41/0.93 (define @t387 () (=> @t129 @t386)) % 0.41/0.93 (define @t388 () (forall @t135 @t387)) % 0.41/0.93 (define @t389 () (= tptp.setadjoin__Cong @t388)) % 0.41/0.93 (define @t390 () (_ tptp.powerset @t1)) % 0.41/0.93 (define @t391 () (= @t33 @t390)) % 0.41/0.93 (define @t392 () (forall @t12 (=> @t3 @t391))) % 0.41/0.93 (define @t393 () (= tptp.powerset__Cong @t392)) % 0.41/0.93 (define @t394 () (_ tptp.setunion @t1)) % 0.41/0.93 (define @t395 () (= @t43 @t394)) % 0.41/0.93 (define @t396 () (forall @t12 (=> @t3 @t395))) % 0.41/0.93 (define @t397 () (= tptp.setunion__Cong @t396)) % 0.41/0.93 (define @t398 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.41/0.93 (define @t399 () (= tptp.exuEu @t363)) % 0.41/0.93 (define @t400 () (_ tptp.descr @t367)) % 0.41/0.93 (define @t401 () (= @t146 @t400)) % 0.41/0.93 (define @t402 () (=> @t368 @t401)) % 0.41/0.93 (define @t403 () (=> @t148 @t402)) % 0.41/0.93 (define @t404 () (=> @t373 @t403)) % 0.41/0.93 (define @t405 () (forall @t375 @t404)) % 0.41/0.93 (define @t406 () (= tptp.descr__Cong @t405)) % 0.41/0.93 (define @t407 () (_ tptp.dsetconstr @t1)) % 0.41/0.93 (define @t408 () (_ @t407 @t367)) % 0.41/0.93 (define @t409 () (= @t304 @t408)) % 0.41/0.93 (define @t410 () (forall @t70 (=> @t351 @t372))) % 0.41/0.93 (define @t411 () (=> @t7 @t410)) % 0.41/0.93 (define @t412 () (forall @t9 @t411)) % 0.41/0.93 (define @t413 () (=> @t412 @t409)) % 0.41/0.93 (define @t414 () (forall @t375 @t413)) % 0.41/0.93 (define @t415 () (=> @t3 @t414)) % 0.41/0.93 (define @t416 () (forall @t12 @t415)) % 0.41/0.93 (define @t417 () (= tptp.dsetconstr__Cong @t416)) % 0.41/0.93 (define @t418 () (_ tptp.subset @t2)) % 0.41/0.93 (define @t419 () (_ @t418 @t1)) % 0.41/0.93 (define @t420 () (=> @t192 @t419)) % 0.41/0.93 (define @t421 () (forall @t12 @t420)) % 0.41/0.93 (define @t422 () (= tptp.subsetI1 @t421)) % 0.41/0.93 (define @t423 () (_ tptp.subset @t1)) % 0.41/0.93 (define @t424 () (_ @t423 @t2)) % 0.41/0.93 (define @t425 () (forall @t12 (=> @t3 @t424))) % 0.41/0.93 (define @t426 () (= tptp.eqimpsubset2 @t425)) % 0.41/0.93 (define @t427 () (forall @t12 (=> @t3 @t419))) % 0.41/0.93 (define @t428 () (= tptp.eqimpsubset1 @t427)) % 0.41/0.93 (define @t429 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 0.41/0.93 (define @t430 () (forall @t64 @t429)) % 0.41/0.93 (define @t431 () (= tptp.emptysetsubset @t430)) % 0.41/0.93 (define @t432 () (forall @t245 (=> @t419 @t191))) % 0.41/0.93 (define @t433 () (= tptp.subsetE @t432)) % 0.41/0.93 (define @t434 () (not @t6)) % 0.41/0.93 (define @t435 () (=> @t434 @t197)) % 0.41/0.93 (define @t436 () (forall @t245 (=> @t419 @t435))) % 0.41/0.93 (define @t437 () (= tptp.subsetE2 @t436)) % 0.41/0.93 (define @t438 () (not @t419)) % 0.41/0.93 (define @t439 () (=> @t434 @t438)) % 0.41/0.93 (define @t440 () (forall @t245 (=> @t7 @t439))) % 0.41/0.93 (define @t441 () (= tptp.notsubsetI @t440)) % 0.41/0.93 (define @t442 () (not @t3)) % 0.41/0.93 (define @t443 () (forall @t12 (=> @t438 @t442))) % 0.41/0.93 (define @t444 () (= tptp.notequalI1 @t443)) % 0.41/0.93 (define @t445 () (=> @t434 @t442)) % 0.41/0.93 (define @t446 () (forall @t245 (=> @t7 @t445))) % 0.41/0.93 (define @t447 () (= tptp.notequalI2 @t446)) % 0.41/0.93 (define @t448 () (_ @t418 @t2)) % 0.41/0.93 (define @t449 () (forall @t64 @t448)) % 0.41/0.93 (define @t450 () (= tptp.subsetRefl @t449)) % 0.41/0.93 (define @t451 () (_ @t418 @t104)) % 0.41/0.93 (define @t452 () (_ @t423 @t104)) % 0.41/0.93 (define @t453 () (=> @t452 @t451)) % 0.41/0.93 (define @t454 () (@list @t2 @t1 @t104)) % 0.41/0.93 (define @t455 () (forall @t454 (=> @t419 @t453))) % 0.41/0.93 (define @t456 () (= tptp.subsetTrans @t455)) % 0.41/0.93 (define @t457 () (_ @t418 @t25)) % 0.41/0.93 (define @t458 () (@list @t4 @t2)) % 0.41/0.93 (define @t459 () (forall @t458 @t457)) % 0.41/0.93 (define @t460 () (= tptp.setadjoinSub @t459)) % 0.41/0.93 (define @t461 () (_ @t24 @t1)) % 0.41/0.93 (define @t462 () (_ @t418 @t461)) % 0.41/0.93 (define @t463 () (forall @t249 (=> @t419 @t462))) % 0.41/0.93 (define @t464 () (= tptp.setadjoinSub2 @t463)) % 0.41/0.93 (define @t465 () (_ tptp.in @t2)) % 0.41/0.93 (define @t466 () (_ @t465 @t390)) % 0.41/0.93 (define @t467 () (forall @t12 (=> @t419 @t466))) % 0.41/0.93 (define @t468 () (= tptp.subset2powerset @t467)) % 0.41/0.93 (define @t469 () (=> @t424 @t3)) % 0.41/0.93 (define @t470 () (forall @t12 (=> @t419 @t469))) % 0.41/0.93 (define @t471 () (= tptp.setextsub @t470)) % 0.41/0.93 (define @t472 () (_ @t418 tptp.emptyset)) % 0.41/0.93 (define @t473 () (forall @t64 (=> @t472 @t196))) % 0.41/0.93 (define @t474 () (= tptp.subsetemptysetimpeq @t473)) % 0.41/0.93 (define @t475 () (forall @t12 (=> @t424 @t35))) % 0.41/0.93 (define @t476 () (= tptp.powersetI1 @t475)) % 0.41/0.93 (define @t477 () (forall @t12 (=> @t35 @t424))) % 0.41/0.93 (define @t478 () (= tptp.powersetE1 @t477)) % 0.41/0.93 (define @t479 () (_ @t465 @t33)) % 0.41/0.93 (define @t480 () (forall @t64 @t479)) % 0.41/0.93 (define @t481 () (= tptp.inPowerset @t480)) % 0.41/0.93 (define @t482 () (_ (_ tptp.subset @t33) @t390)) % 0.41/0.93 (define @t483 () (forall @t12 (=> @t419 @t482))) % 0.41/0.93 (define @t484 () (= tptp.powersetsubset @t483)) % 0.41/0.93 (define @t485 () (_ (_ tptp.in @t304) @t33)) % 0.41/0.93 (define @t486 () (forall @t309 @t485)) % 0.41/0.93 (define @t487 () (= tptp.sepInPowerset @t486)) % 0.41/0.93 (define @t488 () (_ (_ tptp.subset @t304) @t2)) % 0.41/0.93 (define @t489 () (forall @t309 @t488)) % 0.41/0.93 (define @t490 () (= tptp.sepSubset @t489)) % 0.41/0.93 (define @t491 () (_ (_ tptp.binunion @t2) @t1)) % 0.41/0.93 (define @t492 () (_ @t5 @t491)) % 0.41/0.93 (define @t493 () (forall @t245 (=> @t7 @t492))) % 0.41/0.93 (define @t494 () (= tptp.binunionIL @t493)) % 0.41/0.93 (define @t495 () (forall @t245 (=> @t6 @t492))) % 0.41/0.93 (define @t496 () (= tptp.binunionIR @t495)) % 0.41/0.93 (define @t497 () (=> @t6 @t173)) % 0.41/0.93 (define @t498 () (=> @t497 @t173)) % 0.41/0.93 (define @t499 () (=> @t7 @t173)) % 0.41/0.93 (define @t500 () (=> @t499 @t498)) % 0.41/0.93 (define @t501 () (@list @t2 @t1 @t4 @t173)) % 0.41/0.93 (define @t502 () (forall @t501 (=> @t492 @t500))) % 0.41/0.93 (define @t503 () (= tptp.binunionEcases @t502)) % 0.41/0.93 (define @t504 () (or @t7 @t6)) % 0.41/0.93 (define @t505 () (forall @t245 (=> @t492 @t504))) % 0.41/0.93 (define @t506 () (= tptp.binunionE @t505)) % 0.41/0.93 (define @t507 () (_ @t418 @t491)) % 0.41/0.93 (define @t508 () (forall @t12 @t507)) % 0.41/0.93 (define @t509 () (= tptp.binunionLsub @t508)) % 0.41/0.93 (define @t510 () (_ @t423 @t491)) % 0.41/0.93 (define @t511 () (forall @t12 @t510)) % 0.41/0.93 (define @t512 () (= tptp.binunionRsub @t511)) % 0.41/0.93 (define @t513 () (=> @t6 (_ @t5 (_ (_ tptp.binintersect @t2) @t1)))) % 0.41/0.93 (define @t514 () (=> @t7 @t513)) % 0.41/0.93 (define @t515 () (forall @t245 @t514)) % 0.41/0.93 (define @t516 () (=> tptp.binunionRsub @t515)) % 0.41/0.93 (define @t517 () (=> tptp.binunionLsub @t516)) % 0.41/0.93 (define @t518 () (=> tptp.binunionE @t517)) % 0.41/0.93 (define @t519 () (=> tptp.binunionEcases @t518)) % 0.41/0.93 (define @t520 () (=> tptp.binunionIR @t519)) % 0.41/0.93 (define @t521 () (=> tptp.upairset2IR @t520)) % 0.41/0.93 (define @t522 () (=> tptp.binunionIL @t521)) % 0.41/0.93 (define @t523 () (=> tptp.sepSubset @t522)) % 0.41/0.93 (define @t524 () (=> tptp.sepInPowerset @t523)) % 0.41/0.93 (define @t525 () (=> tptp.powersetsubset @t524)) % 0.41/0.93 (define @t526 () (=> tptp.inPowerset @t525)) % 0.41/0.93 (define @t527 () (=> tptp.powersetE1 @t526)) % 0.41/0.93 (define @t528 () (=> tptp.powersetI1 @t527)) % 0.41/0.93 (define @t529 () (=> tptp.subsetemptysetimpeq @t528)) % 0.41/0.93 (define @t530 () (=> tptp.setextsub @t529)) % 0.41/0.93 (define @t531 () (=> tptp.subset2powerset @t530)) % 0.41/0.93 (define @t532 () (=> tptp.setadjoinSub2 @t531)) % 0.41/0.93 (define @t533 () (=> tptp.setadjoinSub @t532)) % 0.41/0.93 (define @t534 () (=> tptp.subsetTrans @t533)) % 0.41/0.93 (define @t535 () (=> tptp.subsetRefl @t534)) % 0.41/0.93 (define @t536 () (=> tptp.notequalI2 @t535)) % 0.41/0.93 (define @t537 () (=> tptp.notequalI1 @t536)) % 0.41/0.93 (define @t538 () (=> tptp.notsubsetI @t537)) % 0.41/0.93 (define @t539 () (=> tptp.subsetE2 @t538)) % 0.41/0.93 (define @t540 () (=> tptp.subsetE @t539)) % 0.41/0.93 (define @t541 () (=> tptp.emptysetsubset @t540)) % 0.41/0.93 (define @t542 () (=> tptp.subsetI2 @t541)) % 0.41/0.93 (define @t543 () (=> tptp.eqimpsubset1 @t542)) % 0.41/0.93 (define @t544 () (=> tptp.eqimpsubset2 @t543)) % 0.41/0.93 (define @t545 () (=> tptp.subsetI1 @t544)) % 0.41/0.93 (define @t546 () (=> tptp.dsetconstr__Cong @t545)) % 0.41/0.93 (define @t547 () (=> tptp.descr__Cong @t546)) % 0.41/0.93 (define @t548 () (=> tptp.exuEu @t547)) % 0.41/0.93 (define @t549 () (=> tptp.omega__Cong @t548)) % 0.41/0.93 (define @t550 () (=> tptp.setunion__Cong @t549)) % 0.41/0.93 (define @t551 () (=> tptp.powerset__Cong @t550)) % 0.41/0.93 (define @t552 () (=> tptp.setadjoin__Cong @t551)) % 0.41/0.93 (define @t553 () (=> tptp.emptyset__Cong @t552)) % 0.41/0.93 (define @t554 () (=> tptp.exu__Cong @t553)) % 0.41/0.93 (define @t555 () (=> tptp.exuE3u @t554)) % 0.41/0.93 (define @t556 () (=> tptp.in__Cong @t555)) % 0.41/0.93 (define @t557 () (=> tptp.inCongP @t556)) % 0.41/0.93 (define @t558 () (=> tptp.exuI2 @t557)) % 0.41/0.93 (define @t559 () (=> tptp.exuI3 @t558)) % 0.41/0.93 (define @t560 () (=> tptp.exuI1 @t559)) % 0.41/0.93 (define @t561 () (=> tptp.notdallE @t560)) % 0.41/0.93 (define @t562 () (=> tptp.notdexE @t561)) % 0.41/0.93 (define @t563 () (=> tptp.prop2set2propI @t562)) % 0.41/0.93 (define @t564 () (=> tptp.prop2setI @t563)) % 0.41/0.93 (define @t565 () (=> tptp.quantDeMorgan4 @t564)) % 0.41/0.93 (define @t566 () (=> tptp.quantDeMorgan3 @t565)) % 0.41/0.93 (define @t567 () (=> tptp.quantDeMorgan2 @t566)) % 0.41/0.93 (define @t568 () (=> tptp.quantDeMorgan1 @t567)) % 0.41/0.93 (define @t569 () (=> tptp.vacuousDall @t568)) % 0.41/0.93 (define @t570 () (=> tptp.emptyE1 @t569)) % 0.41/0.93 (define @t571 () (=> tptp.upairsetIR @t570)) % 0.41/0.93 (define @t572 () (=> tptp.upairsetIL @t571)) % 0.41/0.93 (define @t573 () (=> tptp.upairsetE @t572)) % 0.41/0.93 (define @t574 () (=> tptp.singletonsswitch @t573)) % 0.41/0.93 (define @t575 () (=> tptp.eqinunit @t574)) % 0.41/0.93 (define @t576 () (=> tptp.notinsingleton @t575)) % 0.41/0.93 (define @t577 () (=> tptp.uniqinunit @t576)) % 0.41/0.93 (define @t578 () (=> tptp.nonemptyImpWitness @t577)) % 0.41/0.93 (define @t579 () (=> tptp.exuE2 @t578)) % 0.41/0.93 (define @t580 () (=> tptp.subPowSU @t579)) % 0.41/0.93 (define @t581 () (=> tptp.setunionE @t580)) % 0.41/0.93 (define @t582 () (=> tptp.setunionI @t581)) % 0.41/0.93 (define @t583 () (=> tptp.powersetE @t582)) % 0.41/0.93 (define @t584 () (=> tptp.emptyInPowerset @t583)) % 0.41/0.93 (define @t585 () (=> tptp.emptyinPowerset @t584)) % 0.41/0.93 (define @t586 () (=> tptp.powersetI @t585)) % 0.41/0.93 (define @t587 () (=> tptp.setoftrueEq @t586)) % 0.41/0.93 (define @t588 () (=> tptp.setadjoinOr @t587)) % 0.41/0.93 (define @t589 () (=> tptp.setadjoinE @t588)) % 0.41/0.93 (define @t590 () (=> tptp.setadjoinIR @t589)) % 0.41/0.93 (define @t591 () (=> tptp.emptyinunitempty @t590)) % 0.41/0.93 (define @t592 () (=> tptp.setadjoinIL @t591)) % 0.41/0.93 (define @t593 () (=> tptp.nonemptyI1 @t592)) % 0.41/0.93 (define @t594 () (=> tptp.nonemptyI @t593)) % 0.41/0.93 (define @t595 () (=> tptp.nonemptyE1 @t594)) % 0.41/0.93 (define @t596 () (=> tptp.setbeta @t595)) % 0.41/0.93 (define @t597 () (=> tptp.noeltsimpempty @t596)) % 0.41/0.93 (define @t598 () (=> tptp.emptyI @t597)) % 0.41/0.93 (define @t599 () (=> tptp.setext @t598)) % 0.41/0.93 (define @t600 () (=> tptp.exuE3e @t599)) % 0.41/0.93 (define @t601 () (=> tptp.notinemptyset @t600)) % 0.41/0.93 (define @t602 () (=> tptp.emptysetimpfalse @t601)) % 0.41/0.93 (define @t603 () (=> tptp.emptysetE @t602)) % 0.41/0.93 (define @t604 () (=> tptp.prop2setE @t603)) % 0.41/0.93 (define @t605 () (=> tptp.exuE1 @t604)) % 0.41/0.93 (define @t606 () (=> tptp.dsetconstrER @t605)) % 0.41/0.93 (define @t607 () (=> tptp.dsetconstrEL @t606)) % 0.41/0.93 (define @t608 () (=> tptp.dsetconstrI @t607)) % 0.41/0.93 (define @t609 () (=> tptp.descrp @t608)) % 0.41/0.93 (define @t610 () (=> tptp.wellorderingAx @t609)) % 0.41/0.93 (define @t611 () (=> tptp.foundationAx @t610)) % 0.41/0.93 (define @t612 () (=> tptp.replAx @t611)) % 0.41/0.93 (define @t613 () (=> tptp.omegaIndAx @t612)) % 0.41/0.93 (define @t614 () (=> tptp.omegaSAx @t613)) % 0.41/0.93 (define @t615 () (=> tptp.omega0Ax @t614)) % 0.41/0.93 (define @t616 () (=> tptp.setunionAx @t615)) % 0.41/0.93 (define @t617 () (=> tptp.powersetAx @t616)) % 0.41/0.93 (define @t618 () (=> tptp.setadjoinAx @t617)) % 0.41/0.93 (define @t619 () (=> tptp.emptysetAx @t618)) % 0.41/0.93 (define @t620 () (=> tptp.setextAx @t619)) % 0.41/0.93 (define @t621 () (not @t620)) % 0.41/0.93 (define @t622 () (lambda @t150 @t169)) % 0.41/0.93 (define @t623 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.41/0.93 (define @t624 () (lambda @t9 @t6)) % 0.41/0.93 (define @t625 () (_ @t155 @t624)) % 0.41/0.93 (define @t626 () (lambda @t12 @t625)) % 0.41/0.93 (define @t627 () (@var "BOUND_VARIABLE_10035" $$unsorted)) % 0.41/0.93 (define @t628 () (tptp.in @t627 @t1)) % 0.41/0.93 (define @t629 () (@list @t627)) % 0.41/0.93 (define @t630 () (lambda @t629 @t628)) % 0.41/0.93 (define @t631 () (tptp.dsetconstr @t2 @t630)) % 0.41/0.93 (define @t632 () (tptp.in @t4 @t631)) % 0.41/0.93 (define @t633 () (tptp.in @t4 @t1)) % 0.41/0.93 (define @t634 () (not @t633)) % 0.41/0.93 (define @t635 () (tptp.in @t4 @t2)) % 0.41/0.93 (define @t636 () (not @t635)) % 0.41/0.93 (define @t637 () (forall @t245 (or @t636 @t634 @t632))) % 0.41/0.93 (define @t638 () (tptp.binunion @t2 @t1)) % 0.41/0.93 (define @t639 () (tptp.subset @t1 @t638)) % 0.41/0.93 (define @t640 () (tptp.subset @t2 @t638)) % 0.41/0.93 (define @t641 () (tptp.in @t4 @t638)) % 0.41/0.93 (define @t642 () (not @t641)) % 0.41/0.93 (define @t643 () (forall @t245 (or @t642 @t635 @t633))) % 0.41/0.93 (define @t644 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.41/0.93 (define @t645 () (tptp.setadjoin @t4 @t644)) % 0.41/0.93 (define @t646 () (tptp.in @t19 @t645)) % 0.41/0.93 (define @t647 () (forall @t135 @t646)) % 0.41/0.93 (define @t648 () (tptp.dsetconstr @t2 @t143)) % 0.41/0.93 (define @t649 () (tptp.powerset @t2)) % 0.41/0.93 (define @t650 () (tptp.powerset @t1)) % 0.41/0.93 (define @t651 () (tptp.subset @t649 @t650)) % 0.41/0.93 (define @t652 () (tptp.subset @t2 @t1)) % 0.41/0.93 (define @t653 () (not @t652)) % 0.41/0.93 (define @t654 () (tptp.in @t2 @t649)) % 0.41/0.93 (define @t655 () (tptp.subset @t1 @t2)) % 0.41/0.93 (define @t656 () (tptp.in @t1 @t649)) % 0.41/0.93 (define @t657 () (not @t656)) % 0.41/0.93 (define @t658 () (not @t655)) % 0.41/0.93 (define @t659 () (tptp.subset @t2 tptp.emptyset)) % 0.41/0.93 (define @t660 () (tptp.in @t2 @t650)) % 0.41/0.93 (define @t661 () (tptp.setadjoin @t4 @t1)) % 0.41/0.93 (define @t662 () (tptp.subset @t2 @t661)) % 0.41/0.93 (define @t663 () (tptp.setadjoin @t4 @t2)) % 0.41/0.93 (define @t664 () (tptp.subset @t2 @t663)) % 0.41/0.93 (define @t665 () (tptp.subset @t2 @t104)) % 0.41/0.93 (define @t666 () (tptp.subset @t1 @t104)) % 0.41/0.93 (define @t667 () (tptp.subset @t2 @t2)) % 0.41/0.93 (define @t668 () (=> (forall @t64 @t667) (=> (forall @t454 (or @t653 (not @t666) @t665)) (=> (forall @t458 @t664) (=> (forall @t249 (or @t653 @t662)) (=> (forall @t12 (or @t653 @t660)) (=> (forall @t12 (or @t653 @t658 @t3)) (=> (forall @t64 (or (not @t659) @t196)) (=> (forall @t12 (or @t658 @t656)) (=> (forall @t12 (or @t657 @t655)) (=> (forall @t64 @t654) (=> (forall @t12 (or @t653 @t651)) (=> (forall @t309 (tptp.in @t648 @t649)) (=> (forall @t309 (tptp.subset @t648 @t2)) (=> (forall @t245 (or @t636 @t641)) (=> @t647 (=> (forall @t245 (or @t634 @t641)) (=> @t643 (=> @t643 (=> (forall @t12 @t640) (=> (forall @t12 @t639) @t637))))))))))))))))))))) % 0.41/0.93 (define @t669 () (tptp.subset @t1 @t1)) % 0.41/0.93 (define @t670 () (forall @t41 @t669)) % 0.41/0.93 (define @t671 () (forall @t245 (or @t636 @t633 @t653))) % 0.41/0.93 (define @t672 () (forall @t245 (or @t653 @t633 @t636))) % 0.41/0.93 (define @t673 () (forall @t245 (or @t653 @t636 @t633))) % 0.41/0.93 (define @t674 () (tptp.subset tptp.emptyset @t2)) % 0.41/0.93 (define @t675 () (forall @t64 @t674)) % 0.41/0.93 (define @t676 () (forall @t9 (or @t636 @t633))) % 0.41/0.93 (define @t677 () (not @t676)) % 0.41/0.93 (define @t678 () (forall @t12 (or @t677 @t652))) % 0.41/0.93 (define @t679 () (@var "BOUND_VARIABLE_9645" (-> $$unsorted Bool))) % 0.41/0.93 (define @t680 () (tptp.dsetconstr @t1 @t679)) % 0.41/0.93 (define @t681 () (@var "BOUND_VARIABLE_9647" (-> $$unsorted Bool))) % 0.41/0.93 (define @t682 () (tptp.dsetconstr @t1 @t681)) % 0.41/0.93 (define @t683 () (= @t682 @t680)) % 0.41/0.93 (define @t684 () (= (_ @t679 @t4) (_ @t681 @t4))) % 0.41/0.93 (define @t685 () (or @t634 @t684)) % 0.41/0.93 (define @t686 () (not (forall @t9 @t685))) % 0.41/0.93 (define @t687 () (or @t686 @t683)) % 0.41/0.93 (define @t688 () (@list @t1 @t679 @t681)) % 0.41/0.93 (define @t689 () (forall @t688 @t687)) % 0.41/0.93 (define @t690 () (@var "BOUND_VARIABLE_9584" $$unsorted)) % 0.41/0.93 (define @t691 () (_ @t365 @t19)) % 0.41/0.93 (define @t692 () (not @t691)) % 0.41/0.93 (define @t693 () (not (_ @t365 @t690))) % 0.41/0.93 (define @t694 () (@var "BOUND_VARIABLE_9575" $$unsorted)) % 0.41/0.93 (define @t695 () (_ @t143 @t19)) % 0.41/0.93 (define @t696 () (not @t695)) % 0.41/0.93 (define @t697 () (not (_ @t143 @t694))) % 0.41/0.93 (define @t698 () (tptp.descr @t143)) % 0.41/0.93 (define @t699 () (= @t698 (tptp.descr @t365))) % 0.41/0.93 (define @t700 () (= @t695 @t691)) % 0.41/0.93 (define @t701 () (forall @t70 @t700)) % 0.41/0.93 (define @t702 () (not @t701)) % 0.41/0.93 (define @t703 () (@list @t143 @t365 @t694 @t690)) % 0.41/0.93 (define @t704 () (forall @t703 (or @t702 @t699 @t697 (not (forall @t70 (or @t696 (= @t19 @t694)))) @t693 (not (forall @t70 (or @t692 (= @t19 @t690))))))) % 0.41/0.93 (define @t705 () (@var "BOUND_VARIABLE_9416" $$unsorted)) % 0.41/0.93 (define @t706 () (@var "BOUND_VARIABLE_9414" $$unsorted)) % 0.41/0.93 (define @t707 () (= @t706 @t705)) % 0.41/0.93 (define @t708 () (not (_ @t143 @t705))) % 0.41/0.93 (define @t709 () (not (_ @t143 @t706))) % 0.41/0.93 (define @t710 () (@var "BOUND_VARIABLE_9405" $$unsorted)) % 0.41/0.94 (define @t711 () (not (_ @t143 @t710))) % 0.41/0.94 (define @t712 () (@list @t143 @t710 @t706 @t705)) % 0.41/0.94 (define @t713 () (forall @t712 (or @t711 (not (forall @t70 (or @t696 (= @t19 @t710)))) @t709 @t708 @t707))) % 0.41/0.94 (define @t714 () (not (forall @t70 (or @t692 @t129)))) % 0.41/0.94 (define @t715 () (_ @t365 @t4)) % 0.41/0.94 (define @t716 () (forall @t9 (or (not @t715) @t714))) % 0.41/0.94 (define @t717 () (not @t716)) % 0.41/0.94 (define @t718 () (forall @t70 (or @t696 @t129))) % 0.41/0.94 (define @t719 () (not @t718)) % 0.41/0.94 (define @t720 () (_ @t143 @t4)) % 0.41/0.94 (define @t721 () (not @t720)) % 0.41/0.94 (define @t722 () (forall @t9 (or @t721 @t719))) % 0.41/0.94 (define @t723 () (not @t722)) % 0.41/0.94 (define @t724 () (= @t723 @t717)) % 0.41/0.94 (define @t725 () (forall @t375 (or @t702 @t724))) % 0.41/0.94 (define @t726 () (@var "BOUND_VARIABLE_9312" $$unsorted)) % 0.41/0.94 (define @t727 () (@list @t143 @t726)) % 0.41/0.94 (define @t728 () (forall @t727 (or (not (forall @t70 (= @t695 (= @t19 @t726)))) @t723))) % 0.41/0.94 (define @t729 () (forall @t135 (or @t721 @t696 @t129))) % 0.41/0.94 (define @t730 () (not @t729)) % 0.41/0.94 (define @t731 () (@var "BOUND_VARIABLE_9296" $$unsorted)) % 0.41/0.94 (define @t732 () (not (_ @t143 @t731))) % 0.41/0.94 (define @t733 () (or @t732 @t730 @t723)) % 0.41/0.94 (define @t734 () (forall (@list @t143 @t731) @t733)) % 0.41/0.94 (define @t735 () (=> @t734 (=> @t728 (=> @t713 (=> @t725 (=> @t713 (=> @t704 (=> @t689 (=> @t678 (=> @t670 (=> @t670 (=> @t678 (=> @t675 (=> @t673 (=> @t672 (=> @t671 (=> @t670 @t668))))))))))))))))) % 0.41/0.94 (define @t736 () (tptp.prop2set true)) % 0.41/0.94 (define @t737 () (tptp.set2prop @t736)) % 0.41/0.94 (define @t738 () (=> @t737 @t735)) % 0.41/0.94 (define @t739 () (tptp.in tptp.emptyset @t736)) % 0.41/0.94 (define @t740 () (=> @t739 @t738)) % 0.41/0.94 (define @t741 () (tptp.in @t4 tptp.emptyset)) % 0.41/0.94 (define @t742 () (not @t741)) % 0.41/0.94 (define @t743 () (forall @t312 (or @t742 @t720))) % 0.41/0.94 (define @t744 () (=> @t743 @t740)) % 0.41/0.94 (define @t745 () (@var "BOUND_VARIABLE_9205" $$unsorted)) % 0.41/0.94 (define @t746 () (not (_ @t143 @t745))) % 0.41/0.94 (define @t747 () (not (tptp.in @t745 @t2))) % 0.41/0.94 (define @t748 () (not (= tptp.emptyset @t648))) % 0.41/0.94 (define @t749 () (or @t748 @t747 @t746)) % 0.41/0.94 (define @t750 () (@list @t2 @t143 @t745)) % 0.41/0.94 (define @t751 () (forall @t750 @t749)) % 0.41/0.94 (define @t752 () (=> @t751 @t744)) % 0.41/0.94 (define @t753 () (=> @t647 @t752)) % 0.41/0.94 (define @t754 () (tptp.in @t4 @t645)) % 0.41/0.94 (define @t755 () (forall @t135 @t754)) % 0.41/0.94 (define @t756 () (=> @t755 @t753)) % 0.41/0.94 (define @t757 () (= @t19 @t289)) % 0.41/0.94 (define @t758 () (= @t4 @t289)) % 0.41/0.94 (define @t759 () (tptp.in @t289 @t645)) % 0.41/0.94 (define @t760 () (forall @t295 (or (not @t759) @t758 @t757))) % 0.41/0.94 (define @t761 () (=> @t760 @t756)) % 0.41/0.94 (define @t762 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.41/0.94 (define @t763 () (tptp.in @t19 @t762)) % 0.41/0.94 (define @t764 () (tptp.in @t4 @t644)) % 0.41/0.94 (define @t765 () (not @t764)) % 0.41/0.94 (define @t766 () (forall @t135 (or @t765 @t763))) % 0.41/0.94 (define @t767 () (=> @t766 @t761)) % 0.41/0.94 (define @t768 () (tptp.in @t19 @t644)) % 0.41/0.94 (define @t769 () (forall @t70 @t768)) % 0.41/0.94 (define @t770 () (=> @t769 @t767)) % 0.41/0.94 (define @t771 () (forall @t135 (or @t129 (not @t763)))) % 0.41/0.94 (define @t772 () (=> @t771 @t770)) % 0.41/0.94 (define @t773 () (forall @t135 (or @t765 @t129))) % 0.41/0.94 (define @t774 () (=> @t773 @t772)) % 0.41/0.94 (define @t775 () (forall @t9 @t636)) % 0.41/0.94 (define @t776 () (not @t775)) % 0.41/0.94 (define @t777 () (forall @t64 (or @t196 @t776))) % 0.41/0.94 (define @t778 () (=> @t777 @t774)) % 0.41/0.94 (define @t779 () (@var "BOUND_VARIABLE_9089" $$unsorted)) % 0.41/0.94 (define @t780 () (not (_ @t143 @t779))) % 0.41/0.94 (define @t781 () (forall @t70 (= @t129 @t695))) % 0.41/0.94 (define @t782 () (forall @t9 (not @t781))) % 0.41/0.94 (define @t783 () (not @t782)) % 0.41/0.94 (define @t784 () (@list @t143 @t779)) % 0.41/0.94 (define @t785 () (forall @t784 (or @t783 @t780 (not (forall @t70 (or @t696 (= @t19 @t779))))))) % 0.41/0.94 (define @t786 () (=> @t785 @t778)) % 0.41/0.94 (define @t787 () (tptp.setunion @t2)) % 0.41/0.94 (define @t788 () (tptp.powerset @t787)) % 0.41/0.94 (define @t789 () (tptp.in @t4 @t788)) % 0.41/0.94 (define @t790 () (forall @t46 (or @t636 @t789))) % 0.41/0.94 (define @t791 () (=> @t790 @t786)) % 0.41/0.94 (define @t792 () (tptp.in @t1 @t2)) % 0.41/0.94 (define @t793 () (not @t792)) % 0.41/0.94 (define @t794 () (forall @t41 (or @t634 @t793))) % 0.41/0.94 (define @t795 () (not @t794)) % 0.41/0.94 (define @t796 () (tptp.in @t4 @t787)) % 0.41/0.94 (define @t797 () (forall @t46 (or (not @t796) @t795))) % 0.41/0.94 (define @t798 () (=> @t797 @t791)) % 0.41/0.94 (define @t799 () (forall @t249 (or @t634 @t793 @t796))) % 0.41/0.94 (define @t800 () (=> @t799 @t798)) % 0.41/0.94 (define @t801 () (forall @t245 (or @t657 @t634 @t635))) % 0.41/0.94 (define @t802 () (=> @t801 @t800)) % 0.41/0.94 (define @t803 () (tptp.in tptp.emptyset @t649)) % 0.41/0.94 (define @t804 () (forall @t64 @t803)) % 0.41/0.94 (define @t805 () (=> @t804 @t802)) % 0.41/0.94 (define @t806 () (=> @t804 @t805)) % 0.41/0.94 (define @t807 () (forall @t9 (or @t634 @t635))) % 0.41/0.94 (define @t808 () (not @t807)) % 0.41/0.94 (define @t809 () (forall @t12 (or @t808 @t656))) % 0.41/0.94 (define @t810 () (=> @t809 @t806)) % 0.41/0.94 (define @t811 () (@var "BOUND_VARIABLE_22927" $$unsorted)) % 0.41/0.94 (define @t812 () (lambda (@list @t811) true)) % 0.41/0.94 (define @t813 () (tptp.dsetconstr @t2 @t812)) % 0.41/0.94 (define @t814 () (forall @t64 (= @t2 @t813))) % 0.41/0.94 (define @t815 () (=> @t814 @t810)) % 0.41/0.94 (define @t816 () (tptp.in @t19 @t2)) % 0.41/0.94 (define @t817 () (tptp.in @t19 @t663)) % 0.41/0.94 (define @t818 () (forall @t28 (or (not @t817) @t129 @t816))) % 0.41/0.94 (define @t819 () (=> @t818 @t815)) % 0.41/0.94 (define @t820 () (=> @t818 @t819)) % 0.41/0.94 (define @t821 () (not @t816)) % 0.41/0.94 (define @t822 () (forall @t28 (or @t821 @t817))) % 0.41/0.94 (define @t823 () (=> @t822 @t820)) % 0.41/0.94 (define @t824 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.41/0.94 (define @t825 () (tptp.in tptp.emptyset @t824)) % 0.41/0.94 (define @t826 () (=> @t221 @t823)) % 0.41/0.94 (define @t827 () (tptp.setadjoin @t4 @t19)) % 0.41/0.94 (define @t828 () (tptp.in @t4 @t827)) % 0.41/0.94 (define @t829 () (forall @t135 @t828)) % 0.41/0.94 (define @t830 () (=> @t829 @t826)) % 0.41/0.94 (define @t831 () (@var "BOUND_VARIABLE_8930" $$unsorted)) % 0.41/0.94 (define @t832 () (not (tptp.in @t831 tptp.emptyset))) % 0.41/0.94 (define @t833 () (@list @t831)) % 0.41/0.94 (define @t834 () (forall @t833 @t832)) % 0.41/0.94 (define @t835 () (=> @t834 @t830)) % 0.41/0.94 (define @t836 () (forall @t159 (or @t636 @t721 @t748))) % 0.41/0.94 (define @t837 () (=> @t836 @t835)) % 0.41/0.94 (define @t838 () (=> @t777 @t837)) % 0.41/0.94 (define @t839 () (tptp.in @t4 @t648)) % 0.41/0.94 (define @t840 () (forall @t159 (or @t636 (= @t720 @t839)))) % 0.41/0.94 (define @t841 () (=> @t840 @t838)) % 0.41/0.94 (define @t842 () (forall @t64 (or @t776 @t196))) % 0.41/0.94 (define @t843 () (=> @t842 @t841)) % 0.41/0.94 (define @t844 () (=> @t842 @t843)) % 0.41/0.94 (define @t845 () (or @t677 @t808 @t3)) % 0.41/0.94 (define @t846 () (forall @t12 @t845)) % 0.41/0.94 (define @t847 () (=> @t846 @t844)) % 0.41/0.94 (define @t848 () (@var "BOUND_VARIABLE_8827" $$unsorted)) % 0.41/0.94 (define @t849 () (not (_ @t143 @t848))) % 0.41/0.94 (define @t850 () (forall @t9 @t721)) % 0.41/0.94 (define @t851 () (not @t850)) % 0.41/0.94 (define @t852 () (@list @t143 @t848)) % 0.41/0.94 (define @t853 () (forall @t852 (or @t851 @t849 (not (forall @t70 (or @t696 (= @t19 @t848))))))) % 0.41/0.94 (define @t854 () (=> @t853 @t847)) % 0.41/0.94 (define @t855 () (forall @t9 @t742)) % 0.41/0.94 (define @t856 () (=> @t855 @t854)) % 0.41/0.94 (define @t857 () (=> @t855 @t856)) % 0.41/0.94 (define @t858 () (=> @t855 @t857)) % 0.41/0.94 (define @t859 () (not (tptp.in @t4 (tptp.prop2set false)))) % 0.41/0.94 (define @t860 () (forall @t9 @t859)) % 0.41/0.94 (define @t861 () (=> @t860 @t858)) % 0.41/0.94 (define @t862 () (not @t839)) % 0.41/0.94 (define @t863 () (forall @t159 (or @t862 @t720))) % 0.41/0.94 (define @t864 () (=> @t863 @t861)) % 0.41/0.94 (define @t865 () (forall @t159 (or @t862 @t635))) % 0.41/0.94 (define @t866 () (=> @t865 @t864)) % 0.41/0.94 (define @t867 () (forall @t159 (or @t636 @t721 @t839))) % 0.41/0.94 (define @t868 () (=> @t867 @t866)) % 0.41/0.94 (define @t869 () (@var "BOUND_VARIABLE_8726" $$unsorted)) % 0.41/0.94 (define @t870 () (not (_ @t143 @t869))) % 0.41/0.94 (define @t871 () (_ @t143 @t698)) % 0.41/0.94 (define @t872 () (@list @t143 @t869)) % 0.41/0.94 (define @t873 () (forall @t872 (or @t871 @t870 (not (forall @t70 (or @t696 (= @t19 @t869))))))) % 0.41/0.94 (define @t874 () (=> @t873 @t868)) % 0.41/0.94 (define @t875 () (@var "BOUND_VARIABLE_8646" $$unsorted)) % 0.41/0.94 (define @t876 () (tptp.in @t875 @t95)) % 0.41/0.94 (define @t877 () (not (tptp.in @t875 @t93))) % 0.41/0.94 (define @t878 () (tptp.in @t4 @t93)) % 0.41/0.94 (define @t879 () (tptp.in @t93 @t1)) % 0.41/0.94 (define @t880 () (not @t879)) % 0.41/0.94 (define @t881 () (or @t880 @t878 @t877 @t876)) % 0.41/0.94 (define @t882 () (@list @t93 @t875)) % 0.41/0.94 (define @t883 () (forall @t882 @t881)) % 0.41/0.94 (define @t884 () (not @t883)) % 0.41/0.94 (define @t885 () (tptp.in @t19 @t104)) % 0.41/0.94 (define @t886 () (tptp.in @t19 @t95)) % 0.41/0.94 (define @t887 () (forall @t70 (or (not @t886) (not @t885)))) % 0.41/0.94 (define @t888 () (not @t887)) % 0.41/0.94 (define @t889 () (tptp.in @t4 @t104)) % 0.41/0.94 (define @t890 () (not @t889)) % 0.41/0.94 (define @t891 () (tptp.in @t95 @t1)) % 0.41/0.94 (define @t892 () (not @t891)) % 0.41/0.94 (define @t893 () (not (forall @t112 (or @t892 @t890 @t888 @t884)))) % 0.41/0.94 (define @t894 () (@var "BOUND_VARIABLE_8675" $$unsorted)) % 0.41/0.94 (define @t895 () (not (tptp.in @t894 @t104))) % 0.41/0.94 (define @t896 () (forall @t9 (or @t890 @t635))) % 0.41/0.94 (define @t897 () (not @t896)) % 0.41/0.94 (define @t898 () (or @t897 @t895 @t893)) % 0.41/0.94 (define @t899 () (forall (@list @t104 @t894) @t898)) % 0.41/0.94 (define @t900 () (not @t899)) % 0.41/0.94 (define @t901 () (@var "BOUND_VARIABLE_8598" $$unsorted)) % 0.41/0.94 (define @t902 () (tptp.in @t901 @t104)) % 0.41/0.94 (define @t903 () (not (tptp.in @t901 @t95))) % 0.41/0.94 (define @t904 () (@var "BOUND_VARIABLE_8592" $$unsorted)) % 0.41/0.94 (define @t905 () (tptp.in @t904 @t95)) % 0.41/0.94 (define @t906 () (not (tptp.in @t904 @t104))) % 0.41/0.94 (define @t907 () (tptp.in @t104 @t1)) % 0.41/0.94 (define @t908 () (not @t907)) % 0.41/0.94 (define @t909 () (or @t908 @t892 @t906 @t905 @t903 @t902)) % 0.41/0.94 (define @t910 () (@list @t104 @t95 @t904 @t901)) % 0.41/0.94 (define @t911 () (forall @t910 @t909)) % 0.41/0.94 (define @t912 () (not @t911)) % 0.41/0.94 (define @t913 () (forall @t118 (or @t908 (= @t889 @t885)))) % 0.41/0.94 (define @t914 () (not @t913)) % 0.41/0.94 (define @t915 () (forall @t135 (or @t636 @t821 @t914 @t129))) % 0.41/0.94 (define @t916 () (not @t915)) % 0.41/0.94 (define @t917 () (@var "BOUND_VARIABLE_8541" $$unsorted)) % 0.41/0.94 (define @t918 () (tptp.in @t917 @t2)) % 0.41/0.94 (define @t919 () (not (tptp.in @t917 @t104))) % 0.41/0.94 (define @t920 () (or @t908 @t919 @t918)) % 0.41/0.94 (define @t921 () (@list @t104 @t917)) % 0.41/0.94 (define @t922 () (forall @t921 @t920)) % 0.41/0.94 (define @t923 () (not @t922)) % 0.41/0.94 (define @t924 () (or @t923 @t916 @t912 @t900)) % 0.41/0.94 (define @t925 () (forall @t64 (not (forall @t41 @t924)))) % 0.41/0.94 (define @t926 () (=> @t925 @t874)) % 0.41/0.94 (define @t927 () (forall @t9 (or @t634 @t636))) % 0.41/0.94 (define @t928 () (not @t927)) % 0.41/0.94 (define @t929 () (not (forall @t41 (or @t793 @t928)))) % 0.41/0.94 (define @t930 () (@var "BOUND_VARIABLE_8516" $$unsorted)) % 0.41/0.94 (define @t931 () (not (tptp.in @t930 @t2))) % 0.41/0.94 (define @t932 () (or @t931 @t929)) % 0.41/0.94 (define @t933 () (forall (@list @t2 @t930) @t932)) % 0.41/0.94 (define @t934 () (=> @t933 @t926)) % 0.41/0.94 (define @t935 () (_ @t67 @t19 @t4)) % 0.41/0.94 (define @t936 () (not (forall @t70 (or @t821 (not @t935))))) % 0.41/0.94 (define @t937 () (forall @t9 (= @t633 @t936))) % 0.41/0.94 (define @t938 () (not (forall @t41 (not @t937)))) % 0.41/0.94 (define @t939 () (@var "BOUND_VARIABLE_8406" $$unsorted)) % 0.41/0.94 (define @t940 () (= @t19 @t939)) % 0.41/0.94 (define @t941 () (_ @t67 @t4 @t19)) % 0.41/0.94 (define @t942 () (not (forall @t70 (or (not @t941) @t940)))) % 0.41/0.94 (define @t943 () (_ @t67 @t4 @t939)) % 0.41/0.94 (define @t944 () (@list @t939)) % 0.41/0.94 (define @t945 () (not (forall @t944 (or (not @t943) @t942)))) % 0.41/0.94 (define @t946 () (forall @t9 (or @t636 @t945))) % 0.41/0.94 (define @t947 () (forall @t81 (or (not @t946) @t938))) % 0.41/0.94 (define @t948 () (=> @t947 @t934)) % 0.41/0.94 (define @t949 () (@var "BOUND_VARIABLE_8387" $$unsorted)) % 0.41/0.94 (define @t950 () (tptp.in @t949 @t2)) % 0.41/0.94 (define @t951 () (not (tptp.in @t949 tptp.omega))) % 0.41/0.94 (define @t952 () (tptp.setadjoin @t4 @t4)) % 0.41/0.94 (define @t953 () (tptp.in @t952 @t2)) % 0.41/0.94 (define @t954 () (tptp.in @t4 tptp.omega)) % 0.41/0.94 (define @t955 () (not @t954)) % 0.41/0.94 (define @t956 () (forall @t9 (or @t955 @t636 @t953))) % 0.41/0.94 (define @t957 () (not @t956)) % 0.41/0.94 (define @t958 () (tptp.in tptp.emptyset @t2)) % 0.41/0.94 (define @t959 () (not @t958)) % 0.41/0.94 (define @t960 () (or @t959 @t957 @t951 @t950)) % 0.41/0.94 (define @t961 () (@list @t2 @t949)) % 0.41/0.94 (define @t962 () (forall @t961 @t960)) % 0.41/0.94 (define @t963 () (=> @t962 @t948)) % 0.41/0.94 (define @t964 () (tptp.in @t952 tptp.omega)) % 0.41/0.94 (define @t965 () (forall @t9 (or @t955 @t964))) % 0.41/0.94 (define @t966 () (=> @t965 @t963)) % 0.41/0.94 (define @t967 () (tptp.in tptp.emptyset tptp.omega)) % 0.41/0.94 (define @t968 () (=> @t50 @t966)) % 0.41/0.94 (define @t969 () (forall @t46 (= @t795 @t796))) % 0.41/0.94 (define @t970 () (=> @t969 @t968)) % 0.41/0.94 (define @t971 () (forall @t12 (= @t807 @t656))) % 0.41/0.94 (define @t972 () (=> @t971 @t970)) % 0.41/0.94 (define @t973 () (or @t129 @t816)) % 0.41/0.94 (define @t974 () (forall @t28 (= @t817 @t973))) % 0.41/0.94 (define @t975 () (=> @t974 @t972)) % 0.41/0.94 (define @t976 () (=> @t855 @t975)) % 0.41/0.94 (define @t977 () (forall @t9 (= @t635 @t633))) % 0.41/0.94 (define @t978 () (forall @t12 (or (not @t977) @t3))) % 0.41/0.94 (define @t979 () (=> @t978 @t976)) % 0.41/0.94 (define @t980 () (=> @t670 (=> true @t668))) % 0.41/0.94 (define @t981 () (=> @t671 @t980)) % 0.41/0.94 (define @t982 () (=> @t672 @t981)) % 0.41/0.94 (define @t983 () (=> @t673 @t982)) % 0.41/0.94 (define @t984 () (=> @t675 @t983)) % 0.41/0.94 (define @t985 () (=> @t678 @t984)) % 0.41/0.94 (define @t986 () (=> @t670 @t985)) % 0.41/0.94 (define @t987 () (=> @t670 @t986)) % 0.41/0.94 (define @t988 () (=> @t678 @t987)) % 0.41/0.94 (define @t989 () (=> @t689 @t988)) % 0.41/0.94 (define @t990 () (=> @t704 @t989)) % 0.41/0.94 (define @t991 () (=> @t713 @t990)) % 0.41/0.94 (define @t992 () (=> true (=> true @t991))) % 0.41/0.94 (define @t993 () (=> true @t992)) % 0.41/0.94 (define @t994 () (=> true @t993)) % 0.41/0.94 (define @t995 () (=> true @t994)) % 0.41/0.94 (define @t996 () (=> @t725 @t995)) % 0.41/0.94 (define @t997 () (=> @t713 @t996)) % 0.41/0.94 (define @t998 () (=> true (=> true @t997))) % 0.41/0.94 (define @t999 () (=> @t728 @t998)) % 0.41/0.94 (define @t1000 () (=> @t734 @t999)) % 0.41/0.94 (define @t1001 () (=> true (=> true @t1000))) % 0.41/0.94 (define @t1002 () (=> true @t1001)) % 0.41/0.94 (define @t1003 () (=> @t737 @t1002)) % 0.41/0.94 (define @t1004 () (=> @t739 @t1003)) % 0.41/0.94 (define @t1005 () (=> true (=> true @t1004))) % 0.41/0.94 (define @t1006 () (=> true @t1005)) % 0.41/0.94 (define @t1007 () (=> true @t1006)) % 0.41/0.94 (define @t1008 () (=> @t743 @t1007)) % 0.41/0.94 (define @t1009 () (=> @t751 @t1008)) % 0.41/0.94 (define @t1010 () (=> @t647 @t1009)) % 0.41/0.94 (define @t1011 () (=> @t755 @t1010)) % 0.41/0.94 (define @t1012 () (=> @t760 @t1011)) % 0.41/0.94 (define @t1013 () (=> @t766 @t1012)) % 0.41/0.94 (define @t1014 () (=> @t769 @t1013)) % 0.41/0.94 (define @t1015 () (=> @t771 @t1014)) % 0.41/0.94 (define @t1016 () (=> @t773 @t1015)) % 0.41/0.94 (define @t1017 () (=> @t777 @t1016)) % 0.41/0.94 (define @t1018 () (=> @t785 @t1017)) % 0.41/0.94 (define @t1019 () (=> @t790 @t1018)) % 0.41/0.94 (define @t1020 () (=> @t797 @t1019)) % 0.41/0.94 (define @t1021 () (=> @t799 @t1020)) % 0.41/0.94 (define @t1022 () (=> @t801 @t1021)) % 0.41/0.94 (define @t1023 () (=> @t804 @t1022)) % 0.41/0.94 (define @t1024 () (=> @t804 @t1023)) % 0.41/0.94 (define @t1025 () (=> @t809 @t1024)) % 0.41/0.94 (define @t1026 () (=> @t814 @t1025)) % 0.41/0.94 (define @t1027 () (=> @t818 @t1026)) % 0.41/0.94 (define @t1028 () (=> @t818 @t1027)) % 0.41/0.94 (define @t1029 () (=> @t822 @t1028)) % 0.41/0.94 (define @t1030 () (=> @t221 @t1029)) % 0.41/0.94 (define @t1031 () (=> @t829 @t1030)) % 0.41/0.94 (define @t1032 () (=> @t834 @t1031)) % 0.41/0.94 (define @t1033 () (=> @t836 @t1032)) % 0.41/0.94 (define @t1034 () (=> @t777 @t1033)) % 0.41/0.94 (define @t1035 () (=> @t840 @t1034)) % 0.41/0.94 (define @t1036 () (=> @t842 @t1035)) % 0.41/0.94 (define @t1037 () (=> @t842 @t1036)) % 0.41/0.94 (define @t1038 () (=> @t846 @t1037)) % 0.41/0.94 (define @t1039 () (=> @t853 @t1038)) % 0.41/0.94 (define @t1040 () (=> @t855 @t1039)) % 0.41/0.94 (define @t1041 () (=> @t855 @t1040)) % 0.41/0.94 (define @t1042 () (=> @t855 @t1041)) % 0.41/0.94 (define @t1043 () (=> @t860 @t1042)) % 0.41/0.94 (define @t1044 () (=> @t863 (=> true @t1043))) % 0.41/0.94 (define @t1045 () (=> @t865 @t1044)) % 0.41/0.94 (define @t1046 () (=> @t867 @t1045)) % 0.41/0.94 (define @t1047 () (=> @t873 @t1046)) % 0.41/0.94 (define @t1048 () (=> @t925 @t1047)) % 0.41/0.94 (define @t1049 () (=> @t933 @t1048)) % 0.41/0.94 (define @t1050 () (=> @t947 @t1049)) % 0.41/0.94 (define @t1051 () (=> @t962 @t1050)) % 0.41/0.94 (define @t1052 () (=> @t965 @t1051)) % 0.41/0.94 (define @t1053 () (=> @t50 @t1052)) % 0.41/0.94 (define @t1054 () (=> @t969 @t1053)) % 0.41/0.94 (define @t1055 () (=> @t971 @t1054)) % 0.41/0.94 (define @t1056 () (=> @t974 @t1055)) % 0.41/0.94 (define @t1057 () (=> @t855 @t1056)) % 0.41/0.94 (define @t1058 () (=> @t978 @t1057)) % 0.41/0.94 (define @t1059 () (=> tptp.binunionRsub @t637)) % 0.41/0.94 (define @t1060 () (=> tptp.binunionLsub @t1059)) % 0.41/0.94 (define @t1061 () (not @t492)) % 0.41/0.94 (define @t1062 () (or @t1061 @t7 @t6)) % 0.41/0.94 (define @t1063 () (=> tptp.binunionE @t1060)) % 0.41/0.94 (define @t1064 () (not false)) % 0.41/0.94 (define @t1065 () (and @t633 @t1064)) % 0.41/0.94 (define @t1066 () (and @t635 @t1064)) % 0.41/0.94 (define @t1067 () (or @t642 @t1066 @t1065)) % 0.41/0.94 (define @t1068 () (or @t642 @t1066 @t1065 false)) % 0.41/0.94 (define @t1069 () (not @t173)) % 0.41/0.94 (define @t1070 () (and @t633 @t1069)) % 0.41/0.94 (define @t1071 () (and @t635 @t1069)) % 0.41/0.94 (define @t1072 () (not (= @t173 false))) % 0.41/0.94 (define @t1073 () (or @t173 @t642 @t1071 @t1070 @t173)) % 0.41/0.94 (define @t1074 () (or @t642 @t1071 @t1070 @t173)) % 0.41/0.94 (define @t1075 () (forall @t179 @t1074)) % 0.41/0.94 (define @t1076 () (forall @t245 @t1075)) % 0.41/0.94 (define @t1077 () (and @t6 @t1069)) % 0.41/0.94 (define @t1078 () (and @t7 @t1069)) % 0.41/0.94 (define @t1079 () (or @t1061 @t1078 @t1077 @t173)) % 0.41/0.94 (define @t1080 () (or @t1078 @t1077 @t173)) % 0.41/0.94 (define @t1081 () (=> tptp.binunionEcases @t1063)) % 0.41/0.94 (define @t1082 () (or @t434 @t492)) % 0.41/0.94 (define @t1083 () (=> tptp.binunionIR @t1081)) % 0.41/0.94 (define @t1084 () (=> tptp.upairset2IR @t1083)) % 0.41/0.94 (define @t1085 () (or @t197 @t492)) % 0.41/0.94 (define @t1086 () (=> tptp.binunionIL @t1084)) % 0.41/0.94 (define @t1087 () (lambda @t9 @t720)) % 0.41/0.94 (define @t1088 () (tptp.dsetconstr @t2 @t1087)) % 0.41/0.94 (define @t1089 () (tptp.subset @t1088 @t2)) % 0.41/0.94 (define @t1090 () (=> tptp.sepSubset @t1086)) % 0.41/0.94 (define @t1091 () (tptp.in @t1088 @t649)) % 0.41/0.94 (define @t1092 () (=> tptp.sepInPowerset @t1090)) % 0.41/0.94 (define @t1093 () (or @t438 @t482)) % 0.41/0.94 (define @t1094 () (=> tptp.powersetsubset @t1092)) % 0.41/0.94 (define @t1095 () (=> tptp.inPowerset @t1094)) % 0.41/0.94 (define @t1096 () (not @t35)) % 0.41/0.94 (define @t1097 () (or @t1096 @t424)) % 0.41/0.94 (define @t1098 () (=> tptp.powersetE1 @t1095)) % 0.41/0.94 (define @t1099 () (not @t424)) % 0.41/0.94 (define @t1100 () (or @t1099 @t35)) % 0.41/0.94 (define @t1101 () (=> tptp.powersetI1 @t1098)) % 0.41/0.94 (define @t1102 () (not @t472)) % 0.41/0.94 (define @t1103 () (or @t1102 @t196)) % 0.41/0.94 (define @t1104 () (=> tptp.subsetemptysetimpeq @t1101)) % 0.41/0.94 (define @t1105 () (or @t438 @t1099 @t3)) % 0.41/0.94 (define @t1106 () (=> tptp.setextsub @t1104)) % 0.41/0.94 (define @t1107 () (or @t438 @t466)) % 0.41/0.94 (define @t1108 () (=> tptp.subset2powerset @t1106)) % 0.41/0.94 (define @t1109 () (or @t438 @t462)) % 0.41/0.94 (define @t1110 () (=> tptp.setadjoinSub2 @t1108)) % 0.41/0.94 (define @t1111 () (=> tptp.setadjoinSub @t1110)) % 0.41/0.94 (define @t1112 () (not @t452)) % 0.41/0.94 (define @t1113 () (or @t438 @t1112 @t451)) % 0.41/0.94 (define @t1114 () (=> tptp.subsetTrans @t1111)) % 0.41/0.94 (define @t1115 () (=> tptp.subsetRefl @t1114)) % 0.41/0.94 (define @t1116 () (@list @t1 @t4)) % 0.41/0.94 (define @t1117 () (or @t634 @t633)) % 0.41/0.94 (define @t1118 () (not true)) % 0.41/0.94 (define @t1119 () (not (= @t1 @t1))) % 0.41/0.94 (define @t1120 () (or @t634 @t633 @t1119)) % 0.41/0.94 (define @t1121 () (or @t442 @t636 @t633 @t442)) % 0.41/0.94 (define @t1122 () (or @t636 @t633 @t442)) % 0.41/0.94 (define @t1123 () (forall @t64 @t1122)) % 0.41/0.94 (define @t1124 () (forall @t1116 @t1123)) % 0.41/0.94 (define @t1125 () (forall (@list @t1 @t4 @t2) @t1122)) % 0.41/0.94 (define @t1126 () (or @t197 @t6 @t442)) % 0.41/0.94 (define @t1127 () (not @t434)) % 0.41/0.94 (define @t1128 () (=> tptp.notequalI2 @t1115)) % 0.41/0.94 (define @t1129 () (or @t669 @t1119)) % 0.41/0.94 (define @t1130 () (or @t442 @t652 @t442)) % 0.41/0.94 (define @t1131 () (or @t652 @t442)) % 0.41/0.94 (define @t1132 () (forall @t64 @t1131)) % 0.41/0.94 (define @t1133 () (forall @t41 @t1132)) % 0.41/0.94 (define @t1134 () (@list @t1 @t2)) % 0.41/0.94 (define @t1135 () (forall @t1134 @t1131)) % 0.41/0.94 (define @t1136 () (or @t419 @t442)) % 0.41/0.94 (define @t1137 () (=> tptp.notequalI1 @t1128)) % 0.41/0.94 (define @t1138 () (or @t197 @t6 @t438)) % 0.41/0.94 (define @t1139 () (=> tptp.notsubsetI @t1137)) % 0.41/0.94 (define @t1140 () (or @t438 @t6 @t197)) % 0.41/0.94 (define @t1141 () (=> tptp.subsetE2 @t1139)) % 0.41/0.94 (define @t1142 () (or @t438 @t197 @t6)) % 0.41/0.94 (define @t1143 () (or @t197 @t6)) % 0.41/0.94 (define @t1144 () (=> tptp.subsetE @t1141)) % 0.41/0.94 (define @t1145 () (=> tptp.emptysetsubset @t1144)) % 0.41/0.94 (define @t1146 () (or @t677 @t419)) % 0.41/0.94 (define @t1147 () (=> tptp.subsetI2 @t1145)) % 0.41/0.94 (define @t1148 () (or @t1119 @t669)) % 0.41/0.94 (define @t1149 () (or @t442 @t442 @t652)) % 0.41/0.94 (define @t1150 () (or @t442 @t652)) % 0.41/0.94 (define @t1151 () (forall @t64 @t1150)) % 0.41/0.94 (define @t1152 () (forall @t41 @t1151)) % 0.41/0.94 (define @t1153 () (forall @t1134 @t1150)) % 0.41/0.94 (define @t1154 () (or @t442 @t419)) % 0.41/0.94 (define @t1155 () (=> tptp.eqimpsubset1 @t1147)) % 0.41/0.94 (define @t1156 () (or @t442 @t442 @t655)) % 0.41/0.94 (define @t1157 () (or @t442 @t655)) % 0.41/0.94 (define @t1158 () (forall @t64 @t1157)) % 0.41/0.94 (define @t1159 () (forall @t41 @t1158)) % 0.41/0.94 (define @t1160 () (forall @t1134 @t1157)) % 0.41/0.94 (define @t1161 () (or @t442 @t424)) % 0.41/0.94 (define @t1162 () (=> tptp.eqimpsubset2 @t1155)) % 0.41/0.94 (define @t1163 () (=> tptp.subsetI1 @t1162)) % 0.41/0.94 (define @t1164 () (or @t634 @t634 @t684)) % 0.41/0.94 (define @t1165 () (forall @t9 @t1164)) % 0.41/0.94 (define @t1166 () (not @t1165)) % 0.41/0.94 (define @t1167 () (or @t1119 @t1166 (= @t680 @t682))) % 0.41/0.94 (define @t1168 () (= (tptp.dsetconstr @t2 @t679) @t682)) % 0.41/0.94 (define @t1169 () (not (forall @t9 (or @t636 @t634 @t684)))) % 0.41/0.94 (define @t1170 () (or @t442 @t442 @t1169 @t1168)) % 0.41/0.94 (define @t1171 () (or @t442 @t1169 @t1168)) % 0.41/0.94 (define @t1172 () (forall @t64 @t1171)) % 0.41/0.94 (define @t1173 () (forall @t688 @t1172)) % 0.41/0.94 (define @t1174 () (forall (@list @t1 @t679 @t681 @t2) @t1171)) % 0.41/0.94 (define @t1175 () (@list @t2 @t1 @t679 @t681)) % 0.41/0.94 (define @t1176 () (or @t1169 @t1168)) % 0.41/0.94 (define @t1177 () (or @t442 @t1176)) % 0.41/0.94 (define @t1178 () (forall @t1175 @t1177)) % 0.41/0.94 (define @t1179 () (@list @t679 @t681)) % 0.41/0.94 (define @t1180 () (forall @t1179 @t1177)) % 0.41/0.94 (define @t1181 () (forall @t1179 @t1176)) % 0.41/0.94 (define @t1182 () (or @t442 @t1181)) % 0.41/0.94 (define @t1183 () (= @t720 @t715)) % 0.41/0.94 (define @t1184 () (forall @t9 (or @t636 @t634 @t1183))) % 0.41/0.94 (define @t1185 () (not @t1184)) % 0.41/0.94 (define @t1186 () (forall @t375 (or @t1185 (= @t648 (tptp.dsetconstr @t1 @t365))))) % 0.41/0.94 (define @t1187 () (lambda @t9 @t715)) % 0.41/0.94 (define @t1188 () (tptp.dsetconstr @t1 @t1187)) % 0.41/0.94 (define @t1189 () (= @t1088 @t1188)) % 0.41/0.94 (define @t1190 () (or @t1185 @t1189)) % 0.41/0.94 (define @t1191 () (or @t1185 @t409)) % 0.41/0.94 (define @t1192 () (or @t197 @t634 @t1183)) % 0.41/0.94 (define @t1193 () (or @t634 @t1183)) % 0.41/0.94 (define @t1194 () (not (= @t4 @t4))) % 0.41/0.94 (define @t1195 () (or @t634 @t1194 @t1183)) % 0.41/0.94 (define @t1196 () (= @t720 @t691)) % 0.41/0.94 (define @t1197 () (tptp.in @t19 @t1)) % 0.41/0.94 (define @t1198 () (not @t1197)) % 0.41/0.94 (define @t1199 () (or @t282 @t1198 @t282 @t1196)) % 0.41/0.94 (define @t1200 () (or @t1198 @t282 @t1196)) % 0.41/0.94 (define @t1201 () (not @t351)) % 0.41/0.94 (define @t1202 () (or @t1201 @t282 @t371)) % 0.41/0.94 (define @t1203 () (or @t282 @t371)) % 0.41/0.94 (define @t1204 () (=> tptp.dsetconstr__Cong @t1163)) % 0.41/0.94 (define @t1205 () (or @t692 (= @t690 @t19))) % 0.41/0.94 (define @t1206 () (forall @t70 @t1205)) % 0.41/0.94 (define @t1207 () (not @t1206)) % 0.41/0.94 (define @t1208 () (or @t696 (= @t694 @t19))) % 0.41/0.94 (define @t1209 () (forall @t70 @t1208)) % 0.41/0.94 (define @t1210 () (not @t1209)) % 0.41/0.94 (define @t1211 () (or @t702 @t699 @t697 @t1210 @t693 @t1207)) % 0.41/0.94 (define @t1212 () (or @t693 @t1207)) % 0.41/0.94 (define @t1213 () (or @t697 @t1210)) % 0.41/0.94 (define @t1214 () (or @t702 @t1213 @t1212 @t699)) % 0.41/0.94 (define @t1215 () (forall @t703 @t1214)) % 0.41/0.94 (define @t1216 () (forall (@list @t694 @t690) @t1214)) % 0.41/0.94 (define @t1217 () (forall (@list @t690) @t1212)) % 0.41/0.94 (define @t1218 () (@list @t4)) % 0.41/0.94 (define @t1219 () (forall (@list @t694) @t1213)) % 0.41/0.94 (define @t1220 () (or @t702 @t1219 @t1217 @t699)) % 0.41/0.94 (define @t1221 () (tptp.descr @t1187)) % 0.41/0.94 (define @t1222 () (tptp.descr @t1087)) % 0.41/0.94 (define @t1223 () (= @t1222 @t1221)) % 0.41/0.94 (define @t1224 () (or @t702 @t722 @t716 @t1223)) % 0.41/0.94 (define @t1225 () (or @t702 @t722 @t716 @t401)) % 0.41/0.94 (define @t1226 () (or @t722 @t716 @t401)) % 0.41/0.94 (define @t1227 () (=> @t717 @t401)) % 0.41/0.94 (define @t1228 () (not @t723)) % 0.41/0.94 (define @t1229 () (=> @t723 @t1227)) % 0.41/0.94 (define @t1230 () (not @t366)) % 0.41/0.94 (define @t1231 () (or @t1230 @t714)) % 0.41/0.94 (define @t1232 () (not @t370)) % 0.41/0.94 (define @t1233 () (or @t1232 @t129)) % 0.41/0.94 (define @t1234 () (_ @t367 @t19)) % 0.41/0.94 (define @t1235 () (not @t1234)) % 0.41/0.94 (define @t1236 () (or @t1235 @t129)) % 0.41/0.94 (define @t1237 () (forall @t70 @t1236)) % 0.41/0.94 (define @t1238 () (not @t1237)) % 0.41/0.94 (define @t1239 () (_ @t367 @t4)) % 0.41/0.94 (define @t1240 () (not @t1239)) % 0.41/0.94 (define @t1241 () (or @t1240 @t1238)) % 0.41/0.94 (define @t1242 () (forall @t9 @t1241)) % 0.41/0.94 (define @t1243 () (not @t1242)) % 0.41/0.94 (define @t1244 () (lambda @t150 @t723)) % 0.41/0.94 (define @t1245 () (_ @t1244 @t367)) % 0.41/0.94 (define @t1246 () (=> @t1245 @t401)) % 0.41/0.94 (define @t1247 () (or @t315 @t719)) % 0.41/0.94 (define @t1248 () (not @t153)) % 0.41/0.94 (define @t1249 () (or @t1248 @t129)) % 0.41/0.94 (define @t1250 () (_ @t145 @t19)) % 0.41/0.94 (define @t1251 () (not @t1250)) % 0.41/0.94 (define @t1252 () (or @t1251 @t129)) % 0.41/0.94 (define @t1253 () (forall @t70 @t1252)) % 0.41/0.94 (define @t1254 () (not @t1253)) % 0.41/0.94 (define @t1255 () (_ @t145 @t4)) % 0.41/0.94 (define @t1256 () (not @t1255)) % 0.41/0.94 (define @t1257 () (or @t1256 @t1254)) % 0.41/0.94 (define @t1258 () (forall @t9 @t1257)) % 0.41/0.94 (define @t1259 () (not @t1258)) % 0.41/0.94 (define @t1260 () (_ @t1244 @t145)) % 0.41/0.94 (define @t1261 () (=> @t1260 @t1246)) % 0.41/0.94 (define @t1262 () (not (= @t19 @t19))) % 0.41/0.94 (define @t1263 () (or @t1262 @t700)) % 0.41/0.94 (define @t1264 () (or @t282 @t282 @t1196)) % 0.41/0.94 (define @t1265 () (or @t282 @t1196)) % 0.41/0.94 (define @t1266 () (forall @t9 @t1265)) % 0.41/0.94 (define @t1267 () (forall @t70 @t1266)) % 0.41/0.94 (define @t1268 () (@list @t19 @t4)) % 0.41/0.94 (define @t1269 () (forall @t1268 @t1265)) % 0.41/0.94 (define @t1270 () (=> @t373 @t1261)) % 0.41/0.94 (define @t1271 () (forall @t375 @t1270)) % 0.41/0.94 (define @t1272 () (and @t144 @t718)) % 0.41/0.94 (define @t1273 () (forall @t9 (not @t1272))) % 0.41/0.94 (define @t1274 () (not @t1273)) % 0.41/0.94 (define @t1275 () (=> tptp.descr__Cong @t1204)) % 0.41/0.94 (define @t1276 () (or @t696 (= @t710 @t19))) % 0.41/0.94 (define @t1277 () (forall @t70 @t1276)) % 0.41/0.94 (define @t1278 () (not @t1277)) % 0.41/0.94 (define @t1279 () (or @t711 @t1278 @t709 @t708 @t707)) % 0.41/0.94 (define @t1280 () (or @t709 @t708 @t707)) % 0.41/0.94 (define @t1281 () (or @t711 @t1278)) % 0.41/0.94 (define @t1282 () (or @t1281 @t1280)) % 0.41/0.94 (define @t1283 () (forall @t712 @t1282)) % 0.41/0.94 (define @t1284 () (forall (@list @t710 @t706 @t705) @t1282)) % 0.41/0.94 (define @t1285 () (forall (@list @t706 @t705) @t1280)) % 0.41/0.94 (define @t1286 () (forall (@list @t710) @t1281)) % 0.41/0.94 (define @t1287 () (or @t1286 @t1285)) % 0.41/0.94 (define @t1288 () (or @t315 @t1248 @t129)) % 0.41/0.94 (define @t1289 () (=> @t1260 @t343)) % 0.41/0.94 (define @t1290 () (forall @t150 @t1289)) % 0.41/0.94 (define @t1291 () (=> tptp.exuEu @t1275)) % 0.41/0.94 (define @t1292 () (=> tptp.omega__Cong @t1291)) % 0.41/0.94 (define @t1293 () (tptp.setunion @t1)) % 0.41/0.94 (define @t1294 () (or @t1119 (= @t1293 @t1293))) % 0.41/0.94 (define @t1295 () (= @t787 @t1293)) % 0.41/0.94 (define @t1296 () (or @t442 @t442 @t1295)) % 0.41/0.94 (define @t1297 () (or @t442 @t1295)) % 0.41/0.94 (define @t1298 () (forall @t64 @t1297)) % 0.41/0.94 (define @t1299 () (forall @t41 @t1298)) % 0.41/0.94 (define @t1300 () (forall @t1134 @t1297)) % 0.41/0.94 (define @t1301 () (or @t442 @t395)) % 0.41/0.94 (define @t1302 () (=> tptp.setunion__Cong @t1292)) % 0.41/0.94 (define @t1303 () (or @t1119 (= @t650 @t650))) % 0.41/0.94 (define @t1304 () (= @t649 @t650)) % 0.41/0.94 (define @t1305 () (or @t442 @t442 @t1304)) % 0.41/0.94 (define @t1306 () (or @t442 @t1304)) % 0.41/0.94 (define @t1307 () (forall @t64 @t1306)) % 0.41/0.94 (define @t1308 () (forall @t41 @t1307)) % 0.41/0.94 (define @t1309 () (forall @t1134 @t1306)) % 0.41/0.94 (define @t1310 () (or @t442 @t391)) % 0.41/0.94 (define @t1311 () (=> tptp.powerset__Cong @t1302)) % 0.41/0.94 (define @t1312 () (@var "BOUND_VARIABLE_9509" $$unsorted)) % 0.41/0.94 (define @t1313 () (@list @t19 @t1312)) % 0.41/0.94 (define @t1314 () (tptp.setadjoin @t19 @t1312)) % 0.41/0.94 (define @t1315 () (or @t1262 (= @t1314 @t1314))) % 0.41/0.94 (define @t1316 () (= @t1314 (tptp.setadjoin @t4 @t1312))) % 0.41/0.94 (define @t1317 () (or @t282 @t282 @t1316)) % 0.41/0.94 (define @t1318 () (or @t282 @t1316)) % 0.41/0.94 (define @t1319 () (forall @t9 @t1318)) % 0.41/0.94 (define @t1320 () (forall @t1313 @t1319)) % 0.41/0.94 (define @t1321 () (forall (@list @t19 @t1312 @t4) @t1318)) % 0.41/0.94 (define @t1322 () (forall (@list @t4 @t19 @t1312) @t1318)) % 0.41/0.94 (define @t1323 () (@list @t1312)) % 0.41/0.94 (define @t1324 () (forall @t1323 @t1318)) % 0.41/0.94 (define @t1325 () (forall @t1323 @t1316)) % 0.41/0.94 (define @t1326 () (or @t282 @t1325)) % 0.41/0.94 (define @t1327 () (tptp.setadjoin @t4 @t380)) % 0.41/0.94 (define @t1328 () (tptp.setadjoin @t19 @t380)) % 0.41/0.94 (define @t1329 () (= @t1328 @t1327)) % 0.41/0.94 (define @t1330 () (@list @t380)) % 0.41/0.94 (define @t1331 () (forall @t1330 @t1329)) % 0.41/0.94 (define @t1332 () (not (= @t380 @t380))) % 0.41/0.94 (define @t1333 () (or @t1332 (= @t1327 @t1328))) % 0.41/0.94 (define @t1334 () (tptp.setadjoin @t4 @t289)) % 0.41/0.94 (define @t1335 () (= @t1334 @t1328)) % 0.41/0.94 (define @t1336 () (not @t384)) % 0.41/0.94 (define @t1337 () (or @t1336 @t1336 @t1335)) % 0.41/0.94 (define @t1338 () (@list @t289)) % 0.41/0.94 (define @t1339 () (or @t1336 @t1335)) % 0.41/0.94 (define @t1340 () (forall @t1338 @t1339)) % 0.41/0.94 (define @t1341 () (forall @t1330 @t1340)) % 0.41/0.94 (define @t1342 () (forall (@list @t380 @t289) @t1339)) % 0.41/0.94 (define @t1343 () (or @t1336 @t383)) % 0.41/0.94 (define @t1344 () (=> tptp.setadjoin__Cong @t1311)) % 0.41/0.94 (define @t1345 () (=> tptp.emptyset__Cong @t1344)) % 0.41/0.94 (define @t1346 () (= @t1260 @t1245)) % 0.41/0.94 (define @t1347 () (=> @t373 @t1346)) % 0.41/0.94 (define @t1348 () (forall @t375 @t1347)) % 0.41/0.94 (define @t1349 () (=> tptp.exu__Cong @t1345)) % 0.41/0.94 (define @t1350 () (=> tptp.exuE3u @t1349)) % 0.41/0.94 (define @t1351 () (@var "BOUND_VARIABLE_9382" $$unsorted)) % 0.41/0.94 (define @t1352 () (@list @t1 @t1351)) % 0.41/0.94 (define @t1353 () (tptp.in @t1351 @t1)) % 0.41/0.94 (define @t1354 () (or @t1119 (= @t1353 @t1353))) % 0.41/0.94 (define @t1355 () (= (tptp.in @t1351 @t2) @t1353)) % 0.41/0.94 (define @t1356 () (or @t442 @t442 @t1355)) % 0.41/0.94 (define @t1357 () (or @t442 @t1355)) % 0.41/0.94 (define @t1358 () (forall @t64 @t1357)) % 0.41/0.94 (define @t1359 () (forall @t1352 @t1358)) % 0.41/0.94 (define @t1360 () (forall (@list @t1 @t1351 @t2) @t1357)) % 0.41/0.94 (define @t1361 () (forall (@list @t2 @t1 @t1351) @t1357)) % 0.41/0.94 (define @t1362 () (@list @t1351)) % 0.41/0.94 (define @t1363 () (forall @t1362 @t1357)) % 0.41/0.94 (define @t1364 () (forall @t1362 @t1355)) % 0.41/0.94 (define @t1365 () (@list @t19)) % 0.41/0.94 (define @t1366 () (or @t442 @t1364)) % 0.41/0.94 (define @t1367 () (= @t816 @t1197)) % 0.41/0.94 (define @t1368 () (forall @t70 @t1367)) % 0.41/0.94 (define @t1369 () (or @t1262 @t1367)) % 0.41/0.94 (define @t1370 () (= @t635 @t1197)) % 0.41/0.94 (define @t1371 () (or @t282 @t282 @t1370)) % 0.41/0.94 (define @t1372 () (or @t282 @t1370)) % 0.41/0.94 (define @t1373 () (forall @t9 @t1372)) % 0.41/0.94 (define @t1374 () (forall @t70 @t1373)) % 0.41/0.94 (define @t1375 () (forall @t1268 @t1372)) % 0.41/0.94 (define @t1376 () (or @t282 @t357)) % 0.41/0.94 (define @t1377 () (=> tptp.in__Cong @t1350)) % 0.41/0.94 (define @t1378 () (@var "BOUND_VARIABLE_9345" $$unsorted)) % 0.41/0.94 (define @t1379 () (@list @t1 @t1378)) % 0.41/0.94 (define @t1380 () (tptp.in @t1378 @t1)) % 0.41/0.94 (define @t1381 () (not @t1380)) % 0.41/0.94 (define @t1382 () (or @t1381 @t1380)) % 0.41/0.94 (define @t1383 () (or @t1119 @t1381 @t1380)) % 0.41/0.94 (define @t1384 () (not (tptp.in @t1378 @t2))) % 0.41/0.94 (define @t1385 () (or @t442 @t442 @t1384 @t1380)) % 0.41/0.94 (define @t1386 () (or @t442 @t1384 @t1380)) % 0.41/0.94 (define @t1387 () (forall @t64 @t1386)) % 0.41/0.94 (define @t1388 () (forall @t1379 @t1387)) % 0.41/0.94 (define @t1389 () (forall (@list @t1 @t1378 @t2) @t1386)) % 0.41/0.94 (define @t1390 () (@list @t2 @t1 @t1378)) % 0.41/0.94 (define @t1391 () (or @t1384 @t1380)) % 0.41/0.94 (define @t1392 () (or @t442 @t1391)) % 0.41/0.94 (define @t1393 () (forall @t1390 @t1392)) % 0.41/0.94 (define @t1394 () (@list @t1378)) % 0.41/0.94 (define @t1395 () (forall @t1394 @t1392)) % 0.41/0.94 (define @t1396 () (forall @t1394 @t1391)) % 0.41/0.94 (define @t1397 () (or @t442 @t1396)) % 0.41/0.94 (define @t1398 () (or @t821 @t1197)) % 0.41/0.94 (define @t1399 () (forall @t70 @t1398)) % 0.41/0.94 (define @t1400 () (or @t1262 @t821 @t1197)) % 0.41/0.94 (define @t1401 () (or @t282 @t282 @t636 @t1197)) % 0.41/0.94 (define @t1402 () (or @t282 @t636 @t1197)) % 0.41/0.94 (define @t1403 () (forall @t9 @t1402)) % 0.41/0.94 (define @t1404 () (forall @t70 @t1403)) % 0.41/0.94 (define @t1405 () (forall @t1268 @t1402)) % 0.41/0.94 (define @t1406 () (or @t282 @t197 @t351)) % 0.41/0.94 (define @t1407 () (=> tptp.inCongP @t1377)) % 0.41/0.94 (define @t1408 () (= @t726 @t19)) % 0.41/0.94 (define @t1409 () (forall @t70 (= @t1408 @t695))) % 0.41/0.94 (define @t1410 () (not @t1409)) % 0.41/0.94 (define @t1411 () (or @t1410 @t723)) % 0.41/0.94 (define @t1412 () (forall @t727 @t1411)) % 0.41/0.94 (define @t1413 () (@list @t726)) % 0.41/0.94 (define @t1414 () (forall @t1413 @t1411)) % 0.41/0.94 (define @t1415 () (forall @t1413 @t1410)) % 0.41/0.94 (define @t1416 () (or @t1415 @t723)) % 0.41/0.94 (define @t1417 () (= @t153 @t129)) % 0.41/0.94 (define @t1418 () (=> @t265 @t1260)) % 0.41/0.94 (define @t1419 () (forall @t150 @t1418)) % 0.41/0.94 (define @t1420 () (=> tptp.exuI2 @t1407)) % 0.41/0.94 (define @t1421 () (@list @t731)) % 0.41/0.94 (define @t1422 () (forall @t1421 @t733)) % 0.41/0.94 (define @t1423 () (forall @t1421 @t732)) % 0.41/0.94 (define @t1424 () (or @t1423 @t730 @t723)) % 0.41/0.94 (define @t1425 () (or @t850 @t730 @t723)) % 0.41/0.94 (define @t1426 () (=> @t729 @t723)) % 0.41/0.94 (define @t1427 () (=> @t343 @t1260)) % 0.41/0.94 (define @t1428 () (forall @t9 @t315)) % 0.41/0.94 (define @t1429 () (not @t1428)) % 0.41/0.94 (define @t1430 () (=> @t186 @t1427)) % 0.41/0.94 (define @t1431 () (forall @t150 @t1430)) % 0.41/0.94 (define @t1432 () (=> tptp.exuI3 @t1420)) % 0.41/0.94 (define @t1433 () (=> @t169 @t1260)) % 0.41/0.94 (define @t1434 () (forall @t150 @t1433)) % 0.41/0.94 (define @t1435 () (=> tptp.exuI1 @t1432)) % 0.41/0.94 (define @t1436 () (forall @t9 (or @t636 @t720))) % 0.41/0.94 (define @t1437 () (not @t1436)) % 0.41/0.94 (define @t1438 () (or @t197 @t144)) % 0.41/0.94 (define @t1439 () (forall @t9 (not @t316))) % 0.41/0.94 (define @t1440 () (not @t1439)) % 0.41/0.94 (define @t1441 () (=> tptp.notdallE @t1435)) % 0.41/0.94 (define @t1442 () (forall @t9 (or @t636 @t721))) % 0.41/0.94 (define @t1443 () (or @t197 @t315)) % 0.41/0.94 (define @t1444 () (forall @t9 (not @t306))) % 0.41/0.94 (define @t1445 () (not @t1444)) % 0.41/0.94 (define @t1446 () (=> tptp.notdexE @t1441)) % 0.41/0.94 (define @t1447 () (or @t1118 @t737)) % 0.41/0.94 (define @t1448 () (tptp.prop2set @t173)) % 0.41/0.94 (define @t1449 () (tptp.set2prop @t1448)) % 0.41/0.94 (define @t1450 () (not (= @t173 true))) % 0.41/0.94 (define @t1451 () (or @t1069 @t1069 @t1449)) % 0.41/0.94 (define @t1452 () (or @t1069 @t1449)) % 0.41/0.94 (define @t1453 () (or @t1069 @t337)) % 0.41/0.94 (define @t1454 () (=> tptp.prop2set2propI @t1446)) % 0.41/0.94 (define @t1455 () (or @t1118 @t739)) % 0.41/0.94 (define @t1456 () (tptp.in tptp.emptyset @t1448)) % 0.41/0.94 (define @t1457 () (or @t1069 @t1069 @t1456)) % 0.41/0.94 (define @t1458 () (or @t1069 @t1456)) % 0.41/0.94 (define @t1459 () (or @t1069 @t334)) % 0.41/0.94 (define @t1460 () (=> tptp.prop2setI @t1454)) % 0.41/0.94 (define @t1461 () (=> tptp.quantDeMorgan4 @t1460)) % 0.41/0.94 (define @t1462 () (=> tptp.quantDeMorgan3 @t1461)) % 0.41/0.94 (define @t1463 () (=> tptp.quantDeMorgan2 @t1462)) % 0.41/0.94 (define @t1464 () (=> tptp.quantDeMorgan1 @t1463)) % 0.41/0.94 (define @t1465 () (or @t16 @t144)) % 0.41/0.94 (define @t1466 () (=> tptp.vacuousDall @t1464)) % 0.41/0.94 (define @t1467 () (or @t747 @t746)) % 0.41/0.94 (define @t1468 () (or @t1467 @t748)) % 0.41/0.94 (define @t1469 () (forall @t750 @t1468)) % 0.41/0.94 (define @t1470 () (@list @t745)) % 0.41/0.94 (define @t1471 () (forall @t1470 @t1468)) % 0.41/0.94 (define @t1472 () (forall @t1470 @t1467)) % 0.41/0.94 (define @t1473 () (or @t1472 @t748)) % 0.41/0.94 (define @t1474 () (= tptp.emptyset @t1088)) % 0.41/0.94 (define @t1475 () (not @t1474)) % 0.41/0.94 (define @t1476 () (or @t1442 @t1475)) % 0.41/0.94 (define @t1477 () (= tptp.emptyset @t304)) % 0.41/0.94 (define @t1478 () (not @t1477)) % 0.41/0.94 (define @t1479 () (or @t1442 @t1478)) % 0.41/0.94 (define @t1480 () (not @t1442)) % 0.41/0.94 (define @t1481 () (=> tptp.emptyE1 @t1466)) % 0.41/0.94 (define @t1482 () (=> tptp.upairsetIR @t1481)) % 0.41/0.94 (define @t1483 () (=> tptp.upairsetIL @t1482)) % 0.41/0.94 (define @t1484 () (not @t293)) % 0.41/0.94 (define @t1485 () (or @t1484 @t758 @t757)) % 0.41/0.94 (define @t1486 () (or @t758 @t757)) % 0.41/0.94 (define @t1487 () (=> tptp.upairsetE @t1483)) % 0.41/0.94 (define @t1488 () (not @t276)) % 0.41/0.94 (define @t1489 () (or @t1488 @t280)) % 0.41/0.94 (define @t1490 () (=> tptp.singletonsswitch @t1487)) % 0.41/0.94 (define @t1491 () (or @t1262 @t768)) % 0.41/0.94 (define @t1492 () (or @t282 @t282 @t764)) % 0.41/0.94 (define @t1493 () (or @t282 @t764)) % 0.41/0.94 (define @t1494 () (forall @t9 @t1493)) % 0.41/0.94 (define @t1495 () (forall @t70 @t1494)) % 0.41/0.94 (define @t1496 () (forall @t1268 @t1493)) % 0.41/0.94 (define @t1497 () (or @t282 @t276)) % 0.41/0.94 (define @t1498 () (=> tptp.eqinunit @t1490)) % 0.41/0.94 (define @t1499 () (or @t129 @t281)) % 0.41/0.94 (define @t1500 () (=> tptp.notinsingleton @t1498)) % 0.41/0.94 (define @t1501 () (or @t1488 @t129)) % 0.41/0.94 (define @t1502 () (=> tptp.uniqinunit @t1500)) % 0.41/0.94 (define @t1503 () (not @t196)) % 0.41/0.94 (define @t1504 () (not @t198)) % 0.41/0.94 (define @t1505 () (_ @t623 @t2)) % 0.41/0.94 (define @t1506 () (=> @t1505 @t270)) % 0.41/0.94 (define @t1507 () (forall @t64 @t1506)) % 0.41/0.94 (define @t1508 () (=> tptp.nonemptyImpWitness @t1502)) % 0.41/0.94 (define @t1509 () (or @t696 (= @t779 @t19))) % 0.41/0.94 (define @t1510 () (forall @t70 @t1509)) % 0.41/0.94 (define @t1511 () (not @t1510)) % 0.41/0.94 (define @t1512 () (or @t783 @t780 @t1511)) % 0.41/0.94 (define @t1513 () (or @t780 @t1511)) % 0.41/0.94 (define @t1514 () (or @t1513 @t783)) % 0.41/0.94 (define @t1515 () (forall @t784 @t1514)) % 0.41/0.94 (define @t1516 () (@list @t779)) % 0.41/0.94 (define @t1517 () (forall @t1516 @t1514)) % 0.41/0.94 (define @t1518 () (forall @t1516 @t1513)) % 0.41/0.94 (define @t1519 () (or @t1518 @t783)) % 0.41/0.94 (define @t1520 () (=> @t1260 @t265)) % 0.41/0.94 (define @t1521 () (forall @t150 @t1520)) % 0.41/0.94 (define @t1522 () (=> tptp.exuE2 @t1508)) % 0.41/0.94 (define @t1523 () (or @t197 @t260)) % 0.41/0.94 (define @t1524 () (=> tptp.subPowSU @t1522)) % 0.41/0.94 (define @t1525 () (not @t44)) % 0.41/0.94 (define @t1526 () (or @t1525 @t795)) % 0.41/0.94 (define @t1527 () (and @t1064 @t795)) % 0.41/0.94 (define @t1528 () (or @t1527 false)) % 0.41/0.94 (define @t1529 () (and @t1069 @t795)) % 0.41/0.94 (define @t1530 () (or @t173 @t1529 @t173)) % 0.41/0.94 (define @t1531 () (or @t1529 @t173)) % 0.41/0.94 (define @t1532 () (or @t173 @t794)) % 0.41/0.94 (define @t1533 () (not @t39)) % 0.41/0.94 (define @t1534 () (or @t434 @t1533)) % 0.41/0.94 (define @t1535 () (forall @t41 @t1534)) % 0.41/0.94 (define @t1536 () (or @t173 @t1535)) % 0.41/0.94 (define @t1537 () (or @t173 @t1534)) % 0.41/0.94 (define @t1538 () (or @t434 @t1533 @t173)) % 0.41/0.94 (define @t1539 () (=> tptp.setunionE @t1524)) % 0.41/0.94 (define @t1540 () (or @t434 @t1533 @t44)) % 0.41/0.94 (define @t1541 () (=> tptp.setunionI @t1539)) % 0.41/0.94 (define @t1542 () (or @t1096 @t434 @t7)) % 0.41/0.94 (define @t1543 () (or @t434 @t7)) % 0.41/0.94 (define @t1544 () (=> tptp.powersetE @t1541)) % 0.41/0.94 (define @t1545 () (=> tptp.emptyInPowerset @t1544)) % 0.41/0.94 (define @t1546 () (=> tptp.emptyinPowerset @t1545)) % 0.41/0.94 (define @t1547 () (or @t808 @t35)) % 0.41/0.94 (define @t1548 () (=> tptp.powersetI @t1546)) % 0.41/0.94 (define @t1549 () (_ @t155 @t812)) % 0.41/0.94 (define @t1550 () (= @t2 @t1549)) % 0.41/0.94 (define @t1551 () (=> tptp.setoftrueEq @t1548)) % 0.41/0.94 (define @t1552 () (not @t26)) % 0.41/0.94 (define @t1553 () (or @t1552 @t129 @t21)) % 0.41/0.94 (define @t1554 () (or @t129 @t21)) % 0.41/0.94 (define @t1555 () (=> tptp.setadjoinOr @t1551)) % 0.41/0.94 (define @t1556 () (or @t1552 @t129 @t816)) % 0.41/0.94 (define @t1557 () (and @t816 @t1064)) % 0.41/0.94 (define @t1558 () (and @t129 @t1064)) % 0.41/0.94 (define @t1559 () (or @t1558 @t1557)) % 0.41/0.94 (define @t1560 () (or @t1558 @t1557 false)) % 0.41/0.94 (define @t1561 () (and @t816 @t1069)) % 0.41/0.94 (define @t1562 () (and @t129 @t1069)) % 0.41/0.94 (define @t1563 () (or @t173 @t1562 @t1561 @t173)) % 0.41/0.94 (define @t1564 () (or @t1562 @t1561 @t173)) % 0.41/0.94 (define @t1565 () (and @t21 @t1069)) % 0.41/0.94 (define @t1566 () (or @t1562 @t1565 @t173)) % 0.41/0.94 (define @t1567 () (=> @t129 @t173)) % 0.41/0.94 (define @t1568 () (=> tptp.setadjoinE @t1555)) % 0.41/0.94 (define @t1569 () (not @t21)) % 0.41/0.94 (define @t1570 () (or @t1569 @t26)) % 0.41/0.94 (define @t1571 () (=> tptp.setadjoinIR @t1568)) % 0.41/0.94 (define @t1572 () (=> tptp.emptyinunitempty @t1571)) % 0.41/0.94 (define @t1573 () (=> tptp.setadjoinIL @t1572)) % 0.41/0.94 (define @t1574 () (not @t378)) % 0.41/0.94 (define @t1575 () (or @t832 @t1574)) % 0.41/0.94 (define @t1576 () (not (tptp.in @t831 @t2))) % 0.41/0.94 (define @t1577 () (or @t1503 @t1576 @t1503)) % 0.41/0.94 (define @t1578 () (or @t1576 @t1503)) % 0.41/0.94 (define @t1579 () (forall @t64 @t1578)) % 0.41/0.94 (define @t1580 () (forall @t833 @t1579)) % 0.41/0.94 (define @t1581 () (forall (@list @t831 @t2) @t1578)) % 0.41/0.94 (define @t1582 () (forall (@list @t2 @t831) @t1578)) % 0.41/0.94 (define @t1583 () (forall @t833 @t1578)) % 0.41/0.94 (define @t1584 () (forall @t833 @t1576)) % 0.41/0.94 (define @t1585 () (or @t1584 @t1503)) % 0.41/0.94 (define @t1586 () (not @t776)) % 0.41/0.94 (define @t1587 () (=> @t89 @t1505)) % 0.41/0.94 (define @t1588 () (forall @t64 @t1587)) % 0.41/0.94 (define @t1589 () (=> tptp.nonemptyI1 @t1573)) % 0.41/0.94 (define @t1590 () (lambda @t70 @t695)) % 0.41/0.94 (define @t1591 () (tptp.dsetconstr @t2 @t1590)) % 0.41/0.94 (define @t1592 () (= tptp.emptyset @t1591)) % 0.41/0.94 (define @t1593 () (not @t1592)) % 0.41/0.94 (define @t1594 () (or @t636 @t721 @t1593)) % 0.41/0.94 (define @t1595 () (= tptp.emptyset @t156)) % 0.41/0.94 (define @t1596 () (not @t1595)) % 0.41/0.94 (define @t1597 () (or @t197 @t315 @t1596)) % 0.41/0.94 (define @t1598 () (=> @t144 @t1596)) % 0.41/0.94 (define @t1599 () (not (= @t156 tptp.emptyset))) % 0.41/0.94 (define @t1600 () (_ @t623 @t156)) % 0.41/0.94 (define @t1601 () (=> @t144 @t1600)) % 0.41/0.94 (define @t1602 () (=> @t7 @t1601)) % 0.41/0.94 (define @t1603 () (forall @t159 @t1602)) % 0.41/0.94 (define @t1604 () (=> tptp.nonemptyI @t1589)) % 0.41/0.94 (define @t1605 () (=> @t1505 @t89)) % 0.41/0.94 (define @t1606 () (forall @t64 @t1605)) % 0.41/0.94 (define @t1607 () (=> tptp.nonemptyE1 @t1604)) % 0.41/0.94 (define @t1608 () (tptp.in @t4 @t1591)) % 0.41/0.94 (define @t1609 () (= @t720 @t1608)) % 0.41/0.94 (define @t1610 () (or @t636 @t1609)) % 0.41/0.94 (define @t1611 () (= @t144 @t157)) % 0.41/0.94 (define @t1612 () (or @t197 @t1611)) % 0.41/0.94 (define @t1613 () (=> tptp.setbeta @t1607)) % 0.41/0.94 (define @t1614 () (=> tptp.noeltsimpempty @t1613)) % 0.41/0.94 (define @t1615 () (=> tptp.emptyI @t1614)) % 0.41/0.94 (define @t1616 () (=> @t807 @t3)) % 0.41/0.94 (define @t1617 () (=> tptp.setext @t1615)) % 0.41/0.94 (define @t1618 () (or @t696 (= @t848 @t19))) % 0.41/0.94 (define @t1619 () (forall @t70 @t1618)) % 0.41/0.94 (define @t1620 () (not @t1619)) % 0.41/0.94 (define @t1621 () (or @t851 @t849 @t1620)) % 0.41/0.94 (define @t1622 () (or @t849 @t1620)) % 0.41/0.94 (define @t1623 () (or @t1622 @t851)) % 0.41/0.94 (define @t1624 () (forall @t852 @t1623)) % 0.41/0.94 (define @t1625 () (@list @t848)) % 0.41/0.94 (define @t1626 () (forall @t1625 @t1623)) % 0.41/0.94 (define @t1627 () (forall @t1625 @t1622)) % 0.41/0.94 (define @t1628 () (or @t1627 @t851)) % 0.41/0.94 (define @t1629 () (=> @t1260 @t186)) % 0.41/0.94 (define @t1630 () (forall @t150 @t1629)) % 0.41/0.94 (define @t1631 () (=> tptp.exuE3e @t1617)) % 0.41/0.94 (define @t1632 () (=> tptp.notinemptyset @t1631)) % 0.41/0.94 (define @t1633 () (=> tptp.emptysetimpfalse @t1632)) % 0.41/0.94 (define @t1634 () (or @t173 @t173)) % 0.41/0.94 (define @t1635 () (=> tptp.emptysetE @t1633)) % 0.41/0.94 (define @t1636 () (or @t859 false)) % 0.41/0.94 (define @t1637 () (tptp.in @t4 @t1448)) % 0.41/0.94 (define @t1638 () (not @t1637)) % 0.41/0.94 (define @t1639 () (or @t173 @t1638 @t173)) % 0.41/0.94 (define @t1640 () (or @t1638 @t173)) % 0.41/0.94 (define @t1641 () (forall @t179 @t1640)) % 0.41/0.94 (define @t1642 () (forall @t9 @t1641)) % 0.41/0.94 (define @t1643 () (forall (@list @t4 @t173) @t1640)) % 0.41/0.94 (define @t1644 () (not @t175)) % 0.41/0.94 (define @t1645 () (or @t1644 @t173)) % 0.41/0.94 (define @t1646 () (=> tptp.prop2setE @t1635)) % 0.41/0.94 (define @t1647 () (=> @t1260 @t169)) % 0.41/0.94 (define @t1648 () (forall @t150 @t1647)) % 0.41/0.94 (define @t1649 () (=> tptp.exuE1 @t1646)) % 0.41/0.94 (define @t1650 () (not @t1608)) % 0.41/0.94 (define @t1651 () (or @t1650 @t720)) % 0.41/0.94 (define @t1652 () (not @t157)) % 0.41/0.94 (define @t1653 () (or @t1652 @t144)) % 0.41/0.94 (define @t1654 () (=> tptp.dsetconstrER @t1649)) % 0.41/0.94 (define @t1655 () (or @t1650 @t635)) % 0.41/0.94 (define @t1656 () (or @t1652 @t7)) % 0.41/0.94 (define @t1657 () (=> tptp.dsetconstrEL @t1654)) % 0.41/0.94 (define @t1658 () (or @t636 @t721 @t1608)) % 0.41/0.94 (define @t1659 () (or @t197 @t315 @t157)) % 0.41/0.94 (define @t1660 () (=> tptp.dsetconstrI @t1657)) % 0.41/0.94 (define @t1661 () (or @t696 (= @t869 @t19))) % 0.41/0.94 (define @t1662 () (forall @t70 @t1661)) % 0.41/0.94 (define @t1663 () (not @t1662)) % 0.41/0.94 (define @t1664 () (or @t871 @t870 @t1663)) % 0.41/0.94 (define @t1665 () (or @t870 @t1663)) % 0.41/0.94 (define @t1666 () (or @t1665 @t871)) % 0.41/0.94 (define @t1667 () (forall @t872 @t1666)) % 0.41/0.94 (define @t1668 () (@list @t869)) % 0.41/0.94 (define @t1669 () (forall @t1668 @t1666)) % 0.41/0.94 (define @t1670 () (forall @t1668 @t1665)) % 0.41/0.94 (define @t1671 () (or @t1670 @t871)) % 0.41/0.94 (define @t1672 () (_ @t143 @t1222)) % 0.41/0.94 (define @t1673 () (or @t722 @t1672)) % 0.41/0.94 (define @t1674 () (or @t722 @t147)) % 0.41/0.94 (define @t1675 () (=> @t1260 @t147)) % 0.41/0.94 (define @t1676 () (forall @t150 @t1675)) % 0.41/0.94 (define @t1677 () (=> tptp.descrp @t1660)) % 0.41/0.94 (define @t1678 () (and @t922 @t915 @t911 @t899)) % 0.41/0.94 (define @t1679 () (forall @t41 (not @t1678))) % 0.41/0.94 (define @t1680 () (not @t1679)) % 0.41/0.94 (define @t1681 () (@list @t894)) % 0.41/0.94 (define @t1682 () (forall @t1681 @t898)) % 0.41/0.94 (define @t1683 () (forall @t1681 @t895)) % 0.41/0.94 (define @t1684 () (or @t897 @t1683 @t893)) % 0.41/0.94 (define @t1685 () (forall @t9 @t890)) % 0.41/0.94 (define @t1686 () (or @t897 @t1685 @t893)) % 0.41/0.94 (define @t1687 () (not @t1685)) % 0.41/0.94 (define @t1688 () (and @t896 @t1687)) % 0.41/0.94 (define @t1689 () (not @t109)) % 0.41/0.94 (define @t1690 () (not @t110)) % 0.41/0.94 (define @t1691 () (or @t1690 @t1689 @t888 @t884)) % 0.41/0.94 (define @t1692 () (and @t110 @t109 @t887 @t883)) % 0.41/0.94 (define @t1693 () (forall @t112 (not @t1692))) % 0.41/0.94 (define @t1694 () (not @t1693)) % 0.41/0.94 (define @t1695 () (or @t877 @t876)) % 0.41/0.94 (define @t1696 () (or @t880 @t1695 @t878)) % 0.41/0.94 (define @t1697 () (forall @t882 @t1696)) % 0.41/0.94 (define @t1698 () (@list @t875)) % 0.41/0.94 (define @t1699 () (forall @t1698 @t1696)) % 0.41/0.94 (define @t1700 () (forall @t1698 @t1695)) % 0.41/0.94 (define @t1701 () (or @t880 @t1700 @t878)) % 0.41/0.94 (define @t1702 () (tptp.in @t19 @t93)) % 0.41/0.94 (define @t1703 () (forall @t70 (or (not @t1702) @t886))) % 0.41/0.94 (define @t1704 () (not @t100)) % 0.41/0.94 (define @t1705 () (or @t1704 @t1703 @t94)) % 0.41/0.94 (define @t1706 () (or @t1703 @t94)) % 0.41/0.94 (define @t1707 () (not @t97)) % 0.41/0.94 (define @t1708 () (or @t1707 @t96)) % 0.41/0.94 (define @t1709 () (not @t105)) % 0.41/0.94 (define @t1710 () (not @t96)) % 0.41/0.94 (define @t1711 () (or @t1710 @t1709)) % 0.41/0.94 (define @t1712 () (forall @t70 (not @t106))) % 0.41/0.94 (define @t1713 () (not @t1712)) % 0.41/0.94 (define @t1714 () (forall @t9 @t1689)) % 0.41/0.94 (define @t1715 () (not @t1714)) % 0.41/0.94 (define @t1716 () (or @t1689 @t7)) % 0.41/0.94 (define @t1717 () (or @t903 @t902)) % 0.41/0.94 (define @t1718 () (or @t906 @t905)) % 0.41/0.94 (define @t1719 () (or @t908 @t892 @t1718 @t1717)) % 0.41/0.94 (define @t1720 () (forall @t910 @t1719)) % 0.41/0.94 (define @t1721 () (forall (@list @t904 @t901) @t1719)) % 0.41/0.94 (define @t1722 () (forall (@list @t901) @t1717)) % 0.41/0.94 (define @t1723 () (forall (@list @t904) @t1718)) % 0.41/0.94 (define @t1724 () (or @t908 @t892 @t1723 @t1722)) % 0.41/0.94 (define @t1725 () (tptp.in @t4 @t95)) % 0.41/0.94 (define @t1726 () (forall @t9 (or (not @t1725) @t889))) % 0.41/0.94 (define @t1727 () (forall @t9 (or @t890 @t1725))) % 0.41/0.94 (define @t1728 () (not @t124)) % 0.41/0.94 (define @t1729 () (or @t1728 @t1690 @t1727 @t1726)) % 0.41/0.94 (define @t1730 () (or @t1727 @t1726)) % 0.41/0.94 (define @t1731 () (not @t120)) % 0.41/0.94 (define @t1732 () (or @t1731 @t109)) % 0.41/0.94 (define @t1733 () (or @t1689 @t120)) % 0.41/0.94 (define @t1734 () (or @t197 @t1569 @t914 @t129)) % 0.41/0.94 (define @t1735 () (=> @t913 @t129)) % 0.41/0.94 (define @t1736 () (or @t1728 @t130)) % 0.41/0.94 (define @t1737 () (or @t919 @t918)) % 0.41/0.94 (define @t1738 () (or @t908 @t1737)) % 0.41/0.94 (define @t1739 () (forall @t921 @t1738)) % 0.41/0.94 (define @t1740 () (@list @t917)) % 0.41/0.94 (define @t1741 () (forall @t1740 @t1738)) % 0.41/0.94 (define @t1742 () (forall @t1740 @t1737)) % 0.41/0.94 (define @t1743 () (or @t908 @t1742)) % 0.41/0.94 (define @t1744 () (or @t1728 @t896)) % 0.41/0.94 (define @t1745 () (=> tptp.wellorderingAx @t1677)) % 0.41/0.94 (define @t1746 () (@list @t930)) % 0.41/0.94 (define @t1747 () (forall @t1746 @t932)) % 0.41/0.94 (define @t1748 () (forall @t1746 @t931)) % 0.41/0.94 (define @t1749 () (or @t1748 @t929)) % 0.41/0.94 (define @t1750 () (or @t1533 @t928)) % 0.41/0.94 (define @t1751 () (and @t39 @t927)) % 0.41/0.94 (define @t1752 () (forall @t41 (not @t1751))) % 0.41/0.94 (define @t1753 () (not @t1752)) % 0.41/0.94 (define @t1754 () (or @t434 @t197)) % 0.41/0.94 (define @t1755 () (forall @t9 (not @t84))) % 0.41/0.94 (define @t1756 () (not @t1755)) % 0.41/0.94 (define @t1757 () (=> tptp.foundationAx @t1745)) % 0.41/0.94 (define @t1758 () (= @t6 @t936)) % 0.41/0.94 (define @t1759 () (not @t68)) % 0.41/0.94 (define @t1760 () (or @t1569 @t1759)) % 0.41/0.94 (define @t1761 () (forall @t70 (not @t69))) % 0.41/0.94 (define @t1762 () (not @t1761)) % 0.41/0.94 (define @t1763 () (or @t197 @t945)) % 0.41/0.94 (define @t1764 () (_ @t75 @t939)) % 0.41/0.94 (define @t1765 () (not @t1764)) % 0.41/0.94 (define @t1766 () (or @t1765 @t942)) % 0.41/0.94 (define @t1767 () (not @t76)) % 0.41/0.94 (define @t1768 () (or @t1767 @t940)) % 0.41/0.94 (define @t1769 () (_ @t77 @t19)) % 0.41/0.94 (define @t1770 () (not @t1769)) % 0.41/0.94 (define @t1771 () (or @t1770 @t940)) % 0.41/0.94 (define @t1772 () (forall @t70 @t1771)) % 0.41/0.94 (define @t1773 () (not @t1772)) % 0.41/0.94 (define @t1774 () (_ @t77 @t939)) % 0.41/0.94 (define @t1775 () (not @t1774)) % 0.41/0.94 (define @t1776 () (or @t1775 @t1773)) % 0.41/0.94 (define @t1777 () (forall @t944 @t1776)) % 0.41/0.94 (define @t1778 () (not @t1777)) % 0.41/0.94 (define @t1779 () (not (_ @t143 @t939))) % 0.41/0.94 (define @t1780 () (or @t696 (= @t939 @t19))) % 0.41/0.94 (define @t1781 () (forall @t70 @t1780)) % 0.41/0.94 (define @t1782 () (not @t1781)) % 0.41/0.94 (define @t1783 () (or @t1779 @t1782)) % 0.41/0.94 (define @t1784 () (forall @t944 @t1783)) % 0.41/0.94 (define @t1785 () (not @t1784)) % 0.41/0.94 (define @t1786 () (=> @t7 (_ @t1244 @t77))) % 0.41/0.94 (define @t1787 () (forall @t9 @t1786)) % 0.41/0.94 (define @t1788 () (=> @t1787 @t74)) % 0.41/0.94 (define @t1789 () (forall @t81 @t1788)) % 0.41/0.94 (define @t1790 () (=> tptp.replAx @t1757)) % 0.41/0.94 (define @t1791 () (or @t951 @t950)) % 0.41/0.94 (define @t1792 () (or @t959 @t957 @t1791)) % 0.41/0.94 (define @t1793 () (forall @t961 @t1792)) % 0.41/0.94 (define @t1794 () (@list @t949)) % 0.41/0.94 (define @t1795 () (forall @t1794 @t1792)) % 0.41/0.94 (define @t1796 () (forall @t1794 @t1791)) % 0.41/0.94 (define @t1797 () (or @t959 @t957 @t1796)) % 0.41/0.94 (define @t1798 () (forall @t9 (or @t955 @t635))) % 0.41/0.94 (define @t1799 () (not @t61)) % 0.41/0.94 (define @t1800 () (or @t1799 @t957 @t1798)) % 0.41/0.94 (define @t1801 () (and @t61 @t956)) % 0.41/0.94 (define @t1802 () (not @t54)) % 0.41/0.94 (define @t1803 () (or @t1802 @t7)) % 0.41/0.94 (define @t1804 () (_ tptp.in @t952)) % 0.41/0.94 (define @t1805 () (or @t1802 @t197 @t58)) % 0.41/0.94 (define @t1806 () (=> tptp.omegaIndAx @t1790)) % 0.41/0.94 (define @t1807 () (or @t1802 @t53)) % 0.41/0.94 (define @t1808 () (=> tptp.omegaSAx @t1806)) % 0.41/0.94 (define @t1809 () (=> tptp.omega0Ax @t1808)) % 0.41/0.94 (define @t1810 () (= @t44 @t795)) % 0.41/0.94 (define @t1811 () (forall @t41 (not @t40))) % 0.41/0.94 (define @t1812 () (not @t1811)) % 0.41/0.94 (define @t1813 () (=> tptp.setunionAx @t1809)) % 0.41/0.94 (define @t1814 () (= @t35 @t807)) % 0.41/0.94 (define @t1815 () (=> tptp.powersetAx @t1813)) % 0.41/0.94 (define @t1816 () (= @t26 @t1554)) % 0.41/0.94 (define @t1817 () (=> tptp.setadjoinAx @t1815)) % 0.41/0.94 (define @t1818 () (=> tptp.emptysetAx @t1817)) % 0.41/0.94 (define @t1819 () (=> tptp.setextAx @t1818)) % 0.41/0.94 (define @t1820 () (_ (_ tptp.in @t627) @t1)) % 0.41/0.94 (define @t1821 () (lambda @t629 @t1820)) % 0.41/0.94 (define @t1822 () (_ @t155 @t1821)) % 0.41/0.94 (define @t1823 () (_ @t5 @t1822)) % 0.41/0.94 (define @t1824 () (or @t197 @t434 @t1823)) % 0.41/0.94 (define @t1825 () (=> @t6 @t1823)) % 0.41/0.94 (define @t1826 () (=> @t6 (_ @t5 @t625))) % 0.41/0.94 (define @t1827 () (=> @t7 @t1826)) % 0.41/0.94 (define @t1828 () (lambda @t41 @t625)) % 0.41/0.94 (define @t1829 () (_ @t626 @t2)) % 0.41/0.94 (define @t1830 () (=> @t6 (_ @t5 (_ @t1829 @t1)))) % 0.41/0.94 (define @t1831 () (=> @t7 @t1830)) % 0.41/0.94 (define @t1832 () (forall @t245 @t1831)) % 0.41/0.94 (define @t1833 () (=> tptp.binunionRsub @t1832)) % 0.41/0.94 (define @t1834 () (=> tptp.binunionLsub @t1833)) % 0.41/0.94 (define @t1835 () (=> tptp.binunionE @t1834)) % 0.41/0.94 (define @t1836 () (=> tptp.binunionEcases @t1835)) % 0.41/0.94 (define @t1837 () (=> tptp.binunionIR @t1836)) % 0.41/0.94 (define @t1838 () (=> tptp.upairset2IR @t1837)) % 0.41/0.94 (define @t1839 () (=> tptp.binunionIL @t1838)) % 0.41/0.94 (define @t1840 () (=> tptp.sepSubset @t1839)) % 0.41/0.94 (define @t1841 () (=> tptp.sepInPowerset @t1840)) % 0.41/0.94 (define @t1842 () (=> tptp.powersetsubset @t1841)) % 0.41/0.94 (define @t1843 () (=> tptp.inPowerset @t1842)) % 0.41/0.94 (define @t1844 () (=> tptp.powersetE1 @t1843)) % 0.41/0.94 (define @t1845 () (=> tptp.powersetI1 @t1844)) % 0.41/0.94 (define @t1846 () (=> tptp.subsetemptysetimpeq @t1845)) % 0.41/0.94 (define @t1847 () (=> tptp.setextsub @t1846)) % 0.41/0.94 (define @t1848 () (=> tptp.subset2powerset @t1847)) % 0.41/0.94 (define @t1849 () (=> tptp.setadjoinSub2 @t1848)) % 0.41/0.94 (define @t1850 () (=> tptp.setadjoinSub @t1849)) % 0.41/0.94 (define @t1851 () (=> tptp.subsetTrans @t1850)) % 0.41/0.94 (define @t1852 () (=> tptp.subsetRefl @t1851)) % 0.41/0.94 (define @t1853 () (=> tptp.notequalI2 @t1852)) % 0.41/0.94 (define @t1854 () (=> tptp.notequalI1 @t1853)) % 0.41/0.94 (define @t1855 () (=> tptp.notsubsetI @t1854)) % 0.41/0.94 (define @t1856 () (=> tptp.subsetE2 @t1855)) % 0.41/0.94 (define @t1857 () (=> tptp.subsetE @t1856)) % 0.41/0.94 (define @t1858 () (=> tptp.emptysetsubset @t1857)) % 0.41/0.94 (define @t1859 () (=> tptp.subsetI2 @t1858)) % 0.41/0.94 (define @t1860 () (=> tptp.eqimpsubset1 @t1859)) % 0.41/0.94 (define @t1861 () (=> tptp.eqimpsubset2 @t1860)) % 0.41/0.94 (define @t1862 () (=> tptp.subsetI1 @t1861)) % 0.41/0.94 (define @t1863 () (=> tptp.dsetconstr__Cong @t1862)) % 0.41/0.94 (define @t1864 () (=> tptp.descr__Cong @t1863)) % 0.41/0.94 (define @t1865 () (=> tptp.exuEu @t1864)) % 0.41/0.94 (define @t1866 () (=> tptp.omega__Cong @t1865)) % 0.41/0.94 (define @t1867 () (=> tptp.setunion__Cong @t1866)) % 0.41/0.94 (define @t1868 () (=> tptp.powerset__Cong @t1867)) % 0.41/0.94 (define @t1869 () (=> tptp.setadjoin__Cong @t1868)) % 0.41/0.94 (define @t1870 () (=> tptp.emptyset__Cong @t1869)) % 0.41/0.94 (define @t1871 () (=> tptp.exu__Cong @t1870)) % 0.41/0.94 (define @t1872 () (=> tptp.exuE3u @t1871)) % 0.41/0.94 (define @t1873 () (=> tptp.in__Cong @t1872)) % 0.41/0.94 (define @t1874 () (=> tptp.inCongP @t1873)) % 0.41/0.94 (define @t1875 () (=> tptp.exuI2 @t1874)) % 0.41/0.94 (define @t1876 () (=> tptp.exuI3 @t1875)) % 0.41/0.94 (define @t1877 () (=> tptp.exuI1 @t1876)) % 0.41/0.94 (define @t1878 () (=> tptp.notdallE @t1877)) % 0.41/0.94 (define @t1879 () (=> tptp.notdexE @t1878)) % 0.41/0.94 (define @t1880 () (=> tptp.prop2set2propI @t1879)) % 0.41/0.94 (define @t1881 () (=> tptp.prop2setI @t1880)) % 0.41/0.94 (define @t1882 () (=> tptp.quantDeMorgan4 @t1881)) % 0.41/0.94 (define @t1883 () (=> tptp.quantDeMorgan3 @t1882)) % 0.41/0.94 (define @t1884 () (=> tptp.quantDeMorgan2 @t1883)) % 0.41/0.94 (define @t1885 () (=> tptp.quantDeMorgan1 @t1884)) % 0.41/0.94 (define @t1886 () (=> tptp.vacuousDall @t1885)) % 0.41/0.94 (define @t1887 () (=> tptp.emptyE1 @t1886)) % 0.41/0.94 (define @t1888 () (=> tptp.upairsetIR @t1887)) % 0.41/0.94 (define @t1889 () (=> tptp.upairsetIL @t1888)) % 0.41/0.94 (define @t1890 () (=> tptp.upairsetE @t1889)) % 0.41/0.94 (define @t1891 () (=> tptp.singletonsswitch @t1890)) % 0.41/0.94 (define @t1892 () (=> tptp.eqinunit @t1891)) % 0.41/0.94 (define @t1893 () (=> tptp.notinsingleton @t1892)) % 0.41/0.94 (define @t1894 () (=> tptp.uniqinunit @t1893)) % 0.41/0.94 (define @t1895 () (=> tptp.nonemptyImpWitness @t1894)) % 0.41/0.94 (define @t1896 () (=> tptp.exuE2 @t1895)) % 0.41/0.94 (define @t1897 () (=> tptp.subPowSU @t1896)) % 0.41/0.94 (define @t1898 () (=> tptp.setunionE @t1897)) % 0.41/0.94 (define @t1899 () (=> tptp.setunionI @t1898)) % 0.41/0.94 (define @t1900 () (=> tptp.powersetE @t1899)) % 0.41/0.94 (define @t1901 () (=> tptp.emptyInPowerset @t1900)) % 0.41/0.94 (define @t1902 () (=> tptp.emptyinPowerset @t1901)) % 0.41/0.94 (define @t1903 () (=> tptp.powersetI @t1902)) % 0.41/0.94 (define @t1904 () (=> tptp.setoftrueEq @t1903)) % 0.41/0.94 (define @t1905 () (=> tptp.setadjoinOr @t1904)) % 0.41/0.94 (define @t1906 () (=> tptp.setadjoinE @t1905)) % 0.41/0.94 (define @t1907 () (=> tptp.setadjoinIR @t1906)) % 0.41/0.94 (define @t1908 () (=> tptp.emptyinunitempty @t1907)) % 0.41/0.94 (define @t1909 () (=> tptp.setadjoinIL @t1908)) % 0.41/0.94 (define @t1910 () (=> tptp.nonemptyI1 @t1909)) % 0.41/0.94 (define @t1911 () (=> tptp.nonemptyI @t1910)) % 0.41/0.94 (define @t1912 () (=> tptp.nonemptyE1 @t1911)) % 0.41/0.94 (define @t1913 () (=> tptp.setbeta @t1912)) % 0.41/0.94 (define @t1914 () (=> tptp.noeltsimpempty @t1913)) % 0.41/0.94 (define @t1915 () (=> tptp.emptyI @t1914)) % 0.41/0.94 (define @t1916 () (=> tptp.setext @t1915)) % 0.41/0.94 (define @t1917 () (=> tptp.exuE3e @t1916)) % 0.41/0.94 (define @t1918 () (=> tptp.notinemptyset @t1917)) % 0.41/0.94 (define @t1919 () (=> tptp.emptysetimpfalse @t1918)) % 0.41/0.94 (define @t1920 () (=> tptp.emptysetE @t1919)) % 0.41/0.94 (define @t1921 () (=> tptp.prop2setE @t1920)) % 0.41/0.94 (define @t1922 () (=> tptp.exuE1 @t1921)) % 0.41/0.94 (define @t1923 () (=> tptp.dsetconstrER @t1922)) % 0.41/0.94 (define @t1924 () (=> tptp.dsetconstrEL @t1923)) % 0.41/0.94 (define @t1925 () (=> tptp.dsetconstrI @t1924)) % 0.41/0.94 (define @t1926 () (=> tptp.descrp @t1925)) % 0.41/0.94 (define @t1927 () (=> tptp.wellorderingAx @t1926)) % 0.41/0.94 (define @t1928 () (=> tptp.foundationAx @t1927)) % 0.41/0.94 (define @t1929 () (=> tptp.replAx @t1928)) % 0.41/0.94 (define @t1930 () (=> tptp.omegaIndAx @t1929)) % 0.41/0.94 (define @t1931 () (=> tptp.omegaSAx @t1930)) % 0.41/0.94 (define @t1932 () (=> tptp.omega0Ax @t1931)) % 0.41/0.94 (define @t1933 () (=> tptp.setunionAx @t1932)) % 0.41/0.94 (define @t1934 () (=> tptp.powersetAx @t1933)) % 0.41/0.94 (define @t1935 () (=> tptp.setadjoinAx @t1934)) % 0.41/0.94 (define @t1936 () (=> tptp.emptysetAx @t1935)) % 0.41/0.94 (define @t1937 () (=> tptp.setextAx @t1936)) % 0.41/0.94 (define @t1938 () (@quantifiers_skolemize @t637 1)) % 0.41/0.94 (define @t1939 () (tptp.in @t627 @t1938)) % 0.41/0.94 (define @t1940 () (lambda @t629 @t1939)) % 0.41/0.94 (define @t1941 () (@purify @t1940)) % 0.41/0.94 (define @t1942 () (@quantifiers_skolemize @t637 0)) % 0.41/0.94 (define @t1943 () (@quantifiers_skolemize @t637 2)) % 0.41/0.94 (define @t1944 () (tptp.in @t1943 (tptp.dsetconstr @t1942 @t1941))) % 0.41/0.94 (define @t1945 () (tptp.in @t1943 @t1938)) % 0.41/0.94 (define @t1946 () (not @t1945)) % 0.41/0.94 (define @t1947 () (tptp.in @t1943 @t1942)) % 0.41/0.94 (define @t1948 () (not @t1947)) % 0.41/0.94 (define @t1949 () (or @t1948 @t1946 @t1944)) % 0.41/0.94 (define @t1950 () (not @t1949)) % 0.41/0.94 (define @t1951 () (not @t637)) % 0.41/0.94 (define @t1952 () (tptp.dsetconstr @t1942 @t1940)) % 0.41/0.94 (define @t1953 () (tptp.in @t1943 @t1952)) % 0.41/0.94 (define @t1954 () (or @t1948 @t1946 @t1953)) % 0.41/0.94 (define @t1955 () (not @t1954)) % 0.41/0.94 (define @t1956 () (@list true)) % 0.41/0.94 (define @t1957 () (@list @t1949)) % 0.41/0.94 (define @t1958 () (_ @t1941 @t627)) % 0.41/0.94 (define @t1959 () (_ @t1940 @t627)) % 0.41/0.94 (define @t1960 () (= @t1958 @t1959)) % 0.41/0.94 (define @t1961 () (forall @t629 @t1960)) % 0.41/0.94 (define @t1962 () (_ @t1941 @t1943)) % 0.41/0.94 (define @t1963 () (not @t1962)) % 0.41/0.94 (define @t1964 () (or @t1948 @t1963 @t1944)) % 0.41/0.94 (define @t1965 () (= @t1945 @t1962)) % 0.41/0.94 (assume @p1 @t14) % 0.41/0.94 (assume @p2 @t18) % 0.41/0.94 (assume @p3 @t30) % 0.41/0.94 (assume @p4 @t38) % 0.41/0.94 (assume @p5 @t48) % 0.41/0.94 (assume @p6 (= tptp.omega0Ax @t50)) % 0.41/0.94 (assume @p7 @t56) % 0.41/0.94 (assume @p8 @t66) % 0.41/0.94 (assume @p9 @t83) % 0.41/0.94 (assume @p10 @t92) % 0.41/0.94 (assume @p11 @t142) % 0.41/0.94 (assume @p12 @t152) % 0.41/0.94 (assume @p13 @t161) % 0.41/0.94 (assume @p14 @t163) % 0.41/0.94 (assume @p15 @t165) % 0.41/0.94 (assume @p16 @t172) % 0.41/0.94 (assume @p17 @t178) % 0.41/0.94 (assume @p18 @t183) % 0.41/0.94 (assume @p19 @t185) % 0.41/0.94 (assume @p20 (= tptp.notinemptyset @t17)) % 0.41/0.94 (assume @p21 @t189) % 0.41/0.94 (assume @p22 @t195) % 0.41/0.94 (assume @p23 @t201) % 0.41/0.94 (assume @p24 (= tptp.noeltsimpempty @t200)) % 0.41/0.94 (assume @p25 @t204) % 0.41/0.94 (assume @p26 @t208) % 0.41/0.94 (assume @p27 @t212) % 0.41/0.94 (assume @p28 @t215) % 0.41/0.94 (assume @p29 @t219) % 0.41/0.94 (assume @p30 (= tptp.emptyinunitempty @t221)) % 0.41/0.94 (assume @p31 @t223) % 0.41/0.94 (assume @p32 @t231) % 0.41/0.94 (assume @p33 @t234) % 0.41/0.94 (assume @p34 @t238) % 0.41/0.94 (assume @p35 @t241) % 0.41/0.94 (assume @p36 @t244) % 0.41/0.94 (assume @p37 (= tptp.emptyInPowerset @t243)) % 0.41/0.94 (assume @p38 @t247) % 0.41/0.94 (assume @p39 @t251) % 0.41/0.94 (assume @p40 @t258) % 0.41/0.94 (assume @p41 @t262) % 0.41/0.94 (assume @p42 @t268) % 0.41/0.94 (assume @p43 @t273) % 0.41/0.94 (assume @p44 @t278) % 0.41/0.94 (assume @p45 @t284) % 0.41/0.94 (assume @p46 @t286) % 0.41/0.94 (assume @p47 @t288) % 0.41/0.94 (assume @p48 @t297) % 0.41/0.94 (assume @p49 @t300) % 0.41/0.94 (assume @p50 @t303) % 0.41/0.94 (assume @p51 @t311) % 0.41/0.94 (assume @p52 @t314) % 0.41/0.94 (assume @p53 @t322) % 0.41/0.94 (assume @p54 @t327) % 0.41/0.94 (assume @p55 @t330) % 0.41/0.94 (assume @p56 @t333) % 0.41/0.94 (assume @p57 @t336) % 0.41/0.94 (assume @p58 @t339) % 0.41/0.94 (assume @p59 (= tptp.notdexE @t329)) % 0.41/0.94 (assume @p60 (= tptp.notdallE @t321)) % 0.41/0.94 (assume @p61 @t342) % 0.41/0.94 (assume @p62 @t347) % 0.41/0.94 (assume @p63 @t350) % 0.41/0.94 (assume @p64 @t356) % 0.41/0.94 (assume @p65 @t361) % 0.41/0.94 (assume @p66 @t364) % 0.41/0.94 (assume @p67 @t377) % 0.41/0.94 (assume @p68 @t379) % 0.41/0.94 (assume @p69 @t389) % 0.41/0.94 (assume @p70 @t393) % 0.41/0.94 (assume @p71 @t397) % 0.41/0.94 (assume @p72 @t398) % 0.41/0.94 (assume @p73 @t399) % 0.41/0.94 (assume @p74 @t406) % 0.41/0.94 (assume @p75 @t417) % 0.41/0.94 (assume @p76 @t422) % 0.41/0.94 (assume @p77 @t426) % 0.41/0.94 (assume @p78 @t428) % 0.41/0.94 (assume @p79 (= tptp.subsetI2 @t421)) % 0.41/0.94 (assume @p80 @t431) % 0.41/0.94 (assume @p81 @t433) % 0.41/0.94 (assume @p82 @t437) % 0.41/0.94 (assume @p83 @t441) % 0.41/0.94 (assume @p84 @t444) % 0.41/0.94 (assume @p85 @t447) % 0.41/0.94 (assume @p86 @t450) % 0.41/0.94 (assume @p87 @t456) % 0.41/0.94 (assume @p88 @t460) % 0.41/0.94 (assume @p89 @t464) % 0.41/0.94 (assume @p90 @t468) % 0.41/0.94 (assume @p91 @t471) % 0.41/0.94 (assume @p92 @t474) % 0.41/0.94 (assume @p93 @t476) % 0.41/0.94 (assume @p94 @t478) % 0.41/0.94 (assume @p95 @t481) % 0.41/0.94 (assume @p96 @t484) % 0.41/0.94 (assume @p97 @t487) % 0.41/0.94 (assume @p98 @t490) % 0.41/0.94 (assume @p99 @t494) % 0.41/0.94 (assume @p100 (= tptp.upairset2IR @t302)) % 0.41/0.94 (assume @p101 @t496) % 0.41/0.94 (assume @p102 @t503) % 0.41/0.94 (assume @p103 @t506) % 0.41/0.94 (assume @p104 @t509) % 0.41/0.94 (assume @p105 @t512) % 0.41/0.94 (assume @p106 @t621) % 0.41/0.94 (assume @p107 true) % 0.41/0.94 (step @p108 (= tptp.exu @t622) :rule refl :args (@t622)) % 0.41/0.94 (step @p109 (= tptp.nonempty @t623) :rule refl :args (@t623)) % 0.41/0.94 (step @p110 (= tptp.binintersect @t626) :rule refl :args (@t626)) % 0.41/0.94 (step @p111 :rule refl :args (@t735)) % 0.41/0.94 (step @p112 :rule skolem_intro :args ((@purify true))) % 0.41/0.94 (step @p113 :rule symm :premises (@p112)) % 0.41/0.94 (step @p114 :rule cong :premises (@p113) :args (@t736)) % 0.41/0.94 (step @p115 :rule cong :premises (@p114) :args (@t737)) % 0.41/0.94 (step @p116 :rule cong :premises (@p115 @p111) :args (@t738)) % 0.41/0.94 (step @p117 :rule refl :args (tptp.emptyset)) % 0.41/0.94 (step @p118 :rule cong :premises (@p117 @p114) :args (@t739)) % 0.41/0.94 (step @p119 :rule cong :premises (@p118 @p116) :args (@t740)) % 0.41/0.94 (step @p120 :rule refl :args (@t743)) % 0.41/0.94 (step @p121 :rule cong :premises (@p120 @p119) :args (@t744)) % 0.41/0.94 (step @p122 :rule refl :args (@t751)) % 0.41/0.94 (step @p123 :rule cong :premises (@p122 @p121) :args (@t752)) % 0.41/0.94 (step @p124 :rule refl :args (@t647)) % 0.41/0.94 (step @p125 :rule cong :premises (@p124 @p123) :args (@t753)) % 0.41/0.94 (step @p126 :rule refl :args (@t755)) % 0.41/0.94 (step @p127 :rule cong :premises (@p126 @p125) :args (@t756)) % 0.41/0.94 (step @p128 :rule refl :args (@t760)) % 0.41/0.94 (step @p129 :rule cong :premises (@p128 @p127) :args (@t761)) % 0.41/0.94 (step @p130 :rule refl :args (@t766)) % 0.41/0.94 (step @p131 :rule cong :premises (@p130 @p129) :args (@t767)) % 0.41/0.94 (step @p132 :rule refl :args (@t769)) % 0.41/0.94 (step @p133 :rule cong :premises (@p132 @p131) :args (@t770)) % 0.41/0.94 (step @p134 :rule refl :args (@t771)) % 0.41/0.94 (step @p135 :rule cong :premises (@p134 @p133) :args (@t772)) % 0.41/0.94 (step @p136 :rule refl :args (@t773)) % 0.41/0.94 (step @p137 :rule cong :premises (@p136 @p135) :args (@t774)) % 0.41/0.94 (step @p138 :rule refl :args (@t777)) % 0.41/0.94 (step @p139 :rule cong :premises (@p138 @p137) :args (@t778)) % 0.41/0.94 (step @p140 :rule refl :args (@t785)) % 0.41/0.94 (step @p141 :rule cong :premises (@p140 @p139) :args (@t786)) % 0.41/0.94 (step @p142 :rule refl :args (@t790)) % 0.41/0.94 (step @p143 :rule cong :premises (@p142 @p141) :args (@t791)) % 0.41/0.94 (step @p144 :rule refl :args (@t797)) % 0.41/0.94 (step @p145 :rule cong :premises (@p144 @p143) :args (@t798)) % 0.41/0.94 (step @p146 :rule refl :args (@t799)) % 0.41/0.94 (step @p147 :rule cong :premises (@p146 @p145) :args (@t800)) % 0.41/0.94 (step @p148 :rule refl :args (@t801)) % 0.41/0.94 (step @p149 :rule cong :premises (@p148 @p147) :args (@t802)) % 0.41/0.94 (step @p150 :rule refl :args (@t804)) % 0.41/0.94 (step @p151 :rule cong :premises (@p150 @p149) :args (@t805)) % 0.41/0.94 (step @p152 :rule cong :premises (@p150 @p151) :args (@t806)) % 0.41/0.94 (step @p153 :rule refl :args (@t809)) % 0.41/0.94 (step @p154 :rule cong :premises (@p153 @p152) :args (@t810)) % 0.41/0.94 (step @p155 :rule refl :args (@t814)) % 0.41/0.94 (step @p156 :rule cong :premises (@p155 @p154) :args (@t815)) % 0.41/0.94 (step @p157 :rule refl :args (@t818)) % 0.41/0.94 (step @p158 :rule cong :premises (@p157 @p156) :args (@t819)) % 0.41/0.94 (step @p159 :rule cong :premises (@p157 @p158) :args (@t820)) % 0.41/0.94 (step @p160 :rule refl :args (@t822)) % 0.41/0.94 (step @p161 :rule cong :premises (@p160 @p159) :args (@t823)) % 0.41/0.94 (step @p162 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 0.41/0.94 (step @p163 :rule refl :args (@t824)) % 0.41/0.94 (step @p164 :rule refl :args (tptp.emptyset)) % 0.41/0.94 (step @p165 :rule cong :premises (@p164 @p163) :args (@t825)) % 0.41/0.94 (step @p166 :rule trans :premises (@p165 @p162)) % 0.41/0.94 (step @p167 :rule refl :args (@t49)) % 0.41/0.94 (step @p168 :rule ho_cong :premises (@p167 @p163)) % 0.41/0.94 (step @p169 :rule cong :premises (@p168 @p166) :args ((= (_ @t49 @t824) @t825))) % 0.41/0.94 (step @p170 :rule symm :premises (@p169)) % 0.41/0.94 (step @p171 :rule refl :args (@t221)) % 0.41/0.94 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 0.41/0.94 (step @p173 :rule refl :args (@t220)) % 0.41/0.94 (step @p174 :rule cong :premises (@p173 @p163) :args ((= @t220 @t824))) % 0.41/0.94 (step @p175 :rule symm :premises (@p174)) % 0.41/0.94 (step @p176 :rule eq_resolve :premises (@p173 @p175)) % 0.41/0.94 (step @p177 :rule refl :args (@t49)) % 0.41/0.94 (step @p178 :rule ho_cong :premises (@p177 @p176)) % 0.41/0.94 (step @p179 :rule trans :premises (@p178 @p172)) % 0.41/0.94 (step @p180 :rule cong :premises (@p179 @p161) :args (@t826)) % 0.41/0.94 (step @p181 :rule refl :args (@t829)) % 0.41/0.94 (step @p182 :rule cong :premises (@p181 @p180) :args (@t830)) % 0.41/0.94 (step @p183 :rule refl :args (@t834)) % 0.41/0.94 (step @p184 :rule cong :premises (@p183 @p182) :args (@t835)) % 0.41/0.94 (step @p185 :rule refl :args (@t836)) % 0.41/0.94 (step @p186 :rule cong :premises (@p185 @p184) :args (@t837)) % 0.41/0.94 (step @p187 :rule cong :premises (@p138 @p186) :args (@t838)) % 0.41/0.94 (step @p188 :rule refl :args (@t840)) % 0.41/0.94 (step @p189 :rule cong :premises (@p188 @p187) :args (@t841)) % 0.41/0.94 (step @p190 :rule refl :args (@t842)) % 0.41/0.94 (step @p191 :rule cong :premises (@p190 @p189) :args (@t843)) % 0.41/0.94 (step @p192 :rule cong :premises (@p190 @p191) :args (@t844)) % 0.41/0.94 (step @p193 :rule refl :args (@t846)) % 0.41/0.94 (step @p194 :rule cong :premises (@p193 @p192) :args (@t847)) % 0.41/0.94 (step @p195 :rule refl :args (@t853)) % 0.41/0.94 (step @p196 :rule cong :premises (@p195 @p194) :args (@t854)) % 0.41/0.94 (step @p197 :rule refl :args (@t855)) % 0.41/0.94 (step @p198 :rule cong :premises (@p197 @p196) :args (@t856)) % 0.41/0.94 (step @p199 :rule cong :premises (@p197 @p198) :args (@t857)) % 0.41/0.94 (step @p200 :rule cong :premises (@p197 @p199) :args (@t858)) % 0.41/0.94 (step @p201 :rule refl :args (@t860)) % 0.41/0.94 (step @p202 :rule cong :premises (@p201 @p200) :args (@t861)) % 0.41/0.94 (step @p203 :rule refl :args (@t863)) % 0.41/0.94 (step @p204 :rule cong :premises (@p203 @p202) :args (@t864)) % 0.41/0.94 (step @p205 :rule refl :args (@t865)) % 0.41/0.94 (step @p206 :rule cong :premises (@p205 @p204) :args (@t866)) % 0.41/0.94 (step @p207 :rule refl :args (@t867)) % 0.41/0.94 (step @p208 :rule cong :premises (@p207 @p206) :args (@t868)) % 0.41/0.94 (step @p209 :rule refl :args (@t873)) % 0.41/0.94 (step @p210 :rule cong :premises (@p209 @p208) :args (@t874)) % 0.41/0.94 (step @p211 :rule refl :args (@t925)) % 0.41/0.94 (step @p212 :rule cong :premises (@p211 @p210) :args (@t926)) % 0.41/0.94 (step @p213 :rule refl :args (@t933)) % 0.41/0.94 (step @p214 :rule cong :premises (@p213 @p212) :args (@t934)) % 0.41/0.94 (step @p215 :rule refl :args (@t947)) % 0.41/0.94 (step @p216 :rule cong :premises (@p215 @p214) :args (@t948)) % 0.41/0.94 (step @p217 :rule refl :args (@t962)) % 0.41/0.94 (step @p218 :rule cong :premises (@p217 @p216) :args (@t963)) % 0.41/0.94 (step @p219 :rule refl :args (@t965)) % 0.41/0.94 (step @p220 :rule cong :premises (@p219 @p218) :args (@t966)) % 0.41/0.94 (step @p221 :rule refl :args (@t967)) % 0.41/0.94 (step @p222 :rule refl :args (@t50)) % 0.41/0.94 (step @p223 :rule cong :premises (@p222 @p221) :args ((= @t50 @t967))) % 0.41/0.94 (step @p224 :rule symm :premises (@p223)) % 0.41/0.94 (step @p225 :rule eq_resolve :premises (@p222 @p224)) % 0.41/0.94 (step @p226 :rule cong :premises (@p225 @p220) :args (@t968)) % 0.41/0.94 (step @p227 :rule refl :args (@t969)) % 0.41/0.94 (step @p228 :rule cong :premises (@p227 @p226) :args (@t970)) % 0.41/0.94 (step @p229 :rule refl :args (@t971)) % 0.41/0.94 (step @p230 :rule cong :premises (@p229 @p228) :args (@t972)) % 0.41/0.94 (step @p231 :rule refl :args (@t974)) % 0.41/0.94 (step @p232 :rule cong :premises (@p231 @p230) :args (@t975)) % 0.41/0.94 (step @p233 :rule cong :premises (@p197 @p232) :args (@t976)) % 0.41/0.94 (step @p234 :rule refl :args (@t978)) % 0.41/0.94 (step @p235 :rule cong :premises (@p234 @p233) :args (@t979)) % 0.41/0.94 (step @p236 :rule cong :premises (@p235) :args ((not @t979))) % 0.41/0.94 (step @p237 :rule bool-impl-true2 :args (@t668)) % 0.41/0.94 (step @p238 :rule refl :args (@t670)) % 0.41/0.94 (step @p239 :rule cong :premises (@p238 @p237) :args (@t980)) % 0.41/0.94 (step @p240 :rule refl :args (@t671)) % 0.41/0.94 (step @p241 :rule cong :premises (@p240 @p239) :args (@t981)) % 0.41/0.94 (step @p242 :rule refl :args (@t672)) % 0.41/0.94 (step @p243 :rule cong :premises (@p242 @p241) :args (@t982)) % 0.41/0.94 (step @p244 :rule refl :args (@t673)) % 0.41/0.94 (step @p245 :rule cong :premises (@p244 @p243) :args (@t983)) % 0.41/0.94 (step @p246 :rule refl :args (@t675)) % 0.41/0.94 (step @p247 :rule cong :premises (@p246 @p245) :args (@t984)) % 0.41/0.94 (step @p248 :rule refl :args (@t678)) % 0.41/0.94 (step @p249 :rule cong :premises (@p248 @p247) :args (@t985)) % 0.41/0.94 (step @p250 :rule cong :premises (@p238 @p249) :args (@t986)) % 0.41/0.94 (step @p251 :rule cong :premises (@p238 @p250) :args (@t987)) % 0.41/0.94 (step @p252 :rule cong :premises (@p248 @p251) :args (@t988)) % 0.41/0.94 (step @p253 :rule refl :args (@t689)) % 0.41/0.94 (step @p254 :rule cong :premises (@p253 @p252) :args (@t989)) % 0.41/0.94 (step @p255 :rule refl :args (@t704)) % 0.41/0.94 (step @p256 :rule cong :premises (@p255 @p254) :args (@t990)) % 0.41/0.94 (step @p257 :rule refl :args (@t713)) % 0.41/0.94 (step @p258 :rule cong :premises (@p257 @p256) :args (@t991)) % 0.41/0.94 (step @p259 :rule bool-impl-true2 :args (@t991)) % 0.41/0.94 (step @p260 :rule trans :premises (@p259 @p258)) % 0.41/0.94 (step @p261 :rule bool-impl-true2 :args (@t991)) % 0.41/0.94 (step @p262 :rule refl :args (true)) % 0.41/0.94 (step @p263 :rule cong :premises (@p262 @p261) :args (@t992)) % 0.41/0.94 (step @p264 :rule trans :premises (@p263 @p260)) % 0.41/0.94 (step @p265 :rule cong :premises (@p262 @p261) :args (@t992)) % 0.41/0.94 (step @p266 :rule cong :premises (@p262 @p265) :args (@t993)) % 0.41/0.94 (step @p267 :rule trans :premises (@p266 @p264)) % 0.41/0.94 (step @p268 :rule cong :premises (@p262 @p265) :args (@t993)) % 0.41/0.94 (step @p269 :rule cong :premises (@p262 @p268) :args (@t994)) % 0.41/0.94 (step @p270 :rule trans :premises (@p269 @p267)) % 0.41/0.94 (step @p271 :rule cong :premises (@p262 @p268) :args (@t994)) % 0.41/0.94 (step @p272 :rule cong :premises (@p262 @p271) :args (@t995)) % 0.41/0.94 (step @p273 :rule trans :premises (@p272 @p270)) % 0.41/0.94 (step @p274 :rule refl :args (@t725)) % 0.41/0.94 (step @p275 :rule cong :premises (@p274 @p273) :args (@t996)) % 0.41/0.94 (step @p276 :rule cong :premises (@p257 @p275) :args (@t997)) % 0.41/0.94 (step @p277 :rule bool-impl-true2 :args (@t997)) % 0.41/0.94 (step @p278 :rule trans :premises (@p277 @p276)) % 0.41/0.94 (step @p279 :rule bool-impl-true2 :args (@t997)) % 0.41/0.94 (step @p280 :rule cong :premises (@p262 @p279) :args (@t998)) % 0.41/0.94 (step @p281 :rule trans :premises (@p280 @p278)) % 0.41/0.94 (step @p282 :rule refl :args (@t728)) % 0.41/0.94 (step @p283 :rule cong :premises (@p282 @p281) :args (@t999)) % 0.41/0.94 (step @p284 :rule refl :args (@t734)) % 0.41/0.94 (step @p285 :rule cong :premises (@p284 @p283) :args (@t1000)) % 0.41/0.94 (step @p286 :rule bool-impl-true2 :args (@t1000)) % 0.41/0.94 (step @p287 :rule trans :premises (@p286 @p285)) % 0.41/0.94 (step @p288 :rule bool-impl-true2 :args (@t1000)) % 0.41/0.94 (step @p289 :rule cong :premises (@p262 @p288) :args (@t1001)) % 0.41/0.94 (step @p290 :rule trans :premises (@p289 @p287)) % 0.41/0.94 (step @p291 :rule cong :premises (@p262 @p288) :args (@t1001)) % 0.41/0.94 (step @p292 :rule cong :premises (@p262 @p291) :args (@t1002)) % 0.41/0.94 (step @p293 :rule trans :premises (@p292 @p290)) % 0.41/0.94 (step @p294 :rule refl :args (@t737)) % 0.41/0.94 (step @p295 :rule cong :premises (@p294 @p293) :args (@t1003)) % 0.41/0.94 (step @p296 :rule refl :args (@t739)) % 0.41/0.94 (step @p297 :rule cong :premises (@p296 @p295) :args (@t1004)) % 0.41/0.94 (step @p298 :rule bool-impl-true2 :args (@t1004)) % 0.41/0.94 (step @p299 :rule trans :premises (@p298 @p297)) % 0.41/0.94 (step @p300 :rule bool-impl-true2 :args (@t1004)) % 0.41/0.94 (step @p301 :rule cong :premises (@p262 @p300) :args (@t1005)) % 0.41/0.94 (step @p302 :rule trans :premises (@p301 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cnf_or_neg :args (@t1949 1)) % 0.41/0.95 (step @p3969 :rule eq_resolve :premises (@p3968 @p3967)) % 0.41/0.95 (step @p3970 :rule reordering :premises (@p3969) :args ((or @t1945 @t1949))) % 0.41/0.95 (step @p3971 :rule chain_m_resolution :premises (@p3970 @p3964) :args (@t1945 @t1956 @t1957)) % 0.41/0.95 (step @p3972 :rule eq-symm :args (@t1958 @t1939)) % 0.41/0.95 (step @p3973 :rule beta-reduce :args ((= @t1959 @t1939))) % 0.41/0.95 (step @p3974 :rule refl :args (@t1958)) % 0.41/0.95 (step @p3975 :rule cong :premises (@p3974 @p3973) :args (@t1960)) % 0.41/0.95 (step @p3976 :rule trans :premises (@p3975 @p3972)) % 0.41/0.95 (step @p3977 :rule cong :premises (@p3976) :args (@t1961)) % 0.41/0.95 (step @p3978 :rule quant-unused-vars :args ((= (forall @t629 true) true))) % 0.41/0.95 (step @p3979 :rule eq-refl :args (@t1959)) % 0.41/0.95 (step @p3980 :rule cong :premises (@p3979) :args ((forall @t629 (= @t1959 @t1959)))) % 0.41/0.95 (step @p3981 :rule trans :premises (@p3980 @p3978)) % 0.41/0.95 (step @p3982 :rule refl :args (@t1959)) % 0.41/0.95 (step @p3983 :rule refl :args (@t627)) % 0.41/0.95 (step @p3984 :rule ho_cong :premises (@p3942 @p3983)) % 0.41/0.95 (step @p3985 :rule cong :premises (@p3984 @p3982) :args (@t1960)) % 0.41/0.95 (step @p3986 :rule cong :premises (@p3985) :args (@t1961)) % 0.41/0.95 (step @p3987 :rule trans :premises (@p3986 @p3981)) % 0.41/0.95 (step @p3988 :rule true_elim :premises (@p3987)) % 0.41/0.95 (step @p3989 :rule eq_resolve :premises (@p3988 @p3977)) % 0.41/0.95 (step @p3990 :rule instantiate :premises (@p3989) :args ((@list @t1943))) % 0.41/0.95 (step @p3991 :rule not_implies_elim1 :premises (@p3860)) % 0.41/0.95 (step @p3992 :rule instantiate :premises (@p3991) :args ((@list @t1942 @t1941 @t1943))) % 0.41/0.95 (step @p3993 :rule cnf_or_neg :args (@t1949 2)) % 0.41/0.95 (step @p3994 :rule chain_m_resolution :premises (@p3993 @p3964) :args ((not @t1944) @t1956 @t1957)) % 0.41/0.95 (step @p3995 :rule bool-double-not-elim :args (@t1947)) % 0.41/0.95 (step @p3996 :rule nary_cong :premises (@p3966 @p3995) :args ((or @t1949 (not @t1948)))) % 0.41/0.95 (step @p3997 :rule cnf_or_neg :args (@t1949 0)) % 0.41/0.95 (step @p3998 :rule eq_resolve :premises (@p3997 @p3996)) % 0.41/0.95 (step @p3999 :rule reordering :premises (@p3998) :args ((or @t1947 @t1949))) % 0.41/0.95 (step @p4000 :rule chain_m_resolution :premises (@p3999 @p3964) :args (@t1947 @t1956 @t1957)) % 0.41/0.95 (step @p4001 :rule cnf_or_pos :args (@t1964)) % 0.41/0.95 (step @p4002 :rule reordering :premises (@p4001) :args ((or @t1948 @t1944 @t1963 (not @t1964)))) % 0.41/0.95 (step @p4003 :rule chain_m_resolution :premises (@p4002 @p4000 @p3994 @p3992) :args (@t1963 (@list false true false) (@list @t1947 @t1944 @t1964))) % 0.41/0.95 (step @p4004 :rule cnf_equiv_pos1 :args (@t1965)) % 0.41/0.95 (step @p4005 :rule reordering :premises (@p4004) :args ((or @t1946 @t1962 (not @t1965)))) % 0.41/0.95 (step @p4006 false :rule chain_m_resolution :premises (@p4005 @p4003 @p3990 @p3971) :args (false (@list true false false) (@list @t1962 @t1965 @t1945))) % 0.41/0.95 ) % 0.41/0.95 % SZS output end Proof % 0.41/0.95 % cvc5 exiting %------------------------------------------------------------------------------