%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU578^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:52:16 AM UTC 2026 % Result : Theorem 0.39s 0.89s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU578^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n008.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:42:18 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.54 %----Proving TH0 % 0.39/0.89 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.89 % SZS status Theorem % 0.39/0.89 % SZS output start Proof % 0.39/0.89 ( % 0.39/0.89 (declare-sort $$unsorted 0) % 0.39/0.89 (declare-const tptp.emptyset $$unsorted) % 0.39/0.89 (declare-const tptp.setextsub Bool) % 0.39/0.89 (declare-const tptp.setadjoinSub2 Bool) % 0.39/0.89 (declare-const tptp.setadjoinSub Bool) % 0.39/0.89 (declare-const tptp.notequalI2 Bool) % 0.39/0.89 (declare-const tptp.notsubsetI Bool) % 0.39/0.89 (declare-const tptp.emptysetsubset Bool) % 0.39/0.89 (declare-const tptp.subsetI2 Bool) % 0.39/0.89 (declare-const tptp.powerset__Cong Bool) % 0.39/0.89 (declare-const tptp.setadjoin__Cong Bool) % 0.39/0.89 (declare-const tptp.emptyset__Cong Bool) % 0.39/0.89 (declare-const tptp.exu__Cong Bool) % 0.39/0.89 (declare-const tptp.in__Cong Bool) % 0.39/0.89 (declare-const tptp.inCongP Bool) % 0.39/0.89 (declare-const tptp.subsetE2 Bool) % 0.39/0.89 (declare-const tptp.exuI3 Bool) % 0.39/0.89 (declare-const tptp.subsetE Bool) % 0.39/0.89 (declare-const tptp.exuI1 Bool) % 0.39/0.89 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.39/0.89 (declare-const tptp.subsetI1 Bool) % 0.39/0.89 (declare-const tptp.quantDeMorgan3 Bool) % 0.39/0.89 (declare-const tptp.quantDeMorgan2 Bool) % 0.39/0.89 (declare-const tptp.dsetconstr__Cong Bool) % 0.39/0.89 (declare-const tptp.quantDeMorgan1 Bool) % 0.39/0.89 (declare-const tptp.vacuousDall Bool) % 0.39/0.89 (declare-const tptp.emptyE1 Bool) % 0.39/0.89 (declare-const tptp.powersetE1 Bool) % 0.39/0.89 (declare-const tptp.setunion__Cong Bool) % 0.39/0.89 (declare-const tptp.upairsetIR Bool) % 0.39/0.89 (declare-const tptp.notequalI1 Bool) % 0.39/0.89 (declare-const tptp.emptysetE Bool) % 0.39/0.89 (declare-const tptp.omega__Cong Bool) % 0.39/0.89 (declare-const tptp.setadjoinIL Bool) % 0.39/0.89 (declare-const tptp.prop2setE Bool) % 0.39/0.89 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.39/0.89 (declare-const tptp.dsetconstrI Bool) % 0.39/0.89 (declare-const tptp.setext Bool) % 0.39/0.89 (declare-const tptp.nonemptyImpWitness Bool) % 0.39/0.89 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.39/0.89 (declare-const tptp.wellorderingAx Bool) % 0.39/0.89 (declare-const tptp.replAx Bool) % 0.39/0.89 (declare-const tptp.upairsetE Bool) % 0.39/0.89 (declare-const tptp.dsetconstrEL Bool) % 0.39/0.89 (declare-const tptp.prop2setI Bool) % 0.39/0.89 (declare-const tptp.emptyinPowerset Bool) % 0.39/0.89 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.89 (declare-const tptp.setextAx Bool) % 0.39/0.89 (declare-const tptp.setadjoinOr Bool) % 0.39/0.89 (declare-const tptp.subsetTrans Bool) % 0.39/0.89 (declare-const tptp.exuE3u Bool) % 0.39/0.89 (declare-const tptp.uniqinunit Bool) % 0.39/0.89 (declare-const tptp.foundationAx Bool) % 0.39/0.89 (declare-const tptp.emptysetimpfalse Bool) % 0.39/0.89 (declare-const tptp.subsetRefl Bool) % 0.39/0.89 (declare-const tptp.notinemptyset Bool) % 0.39/0.89 (declare-const tptp.setadjoinIR Bool) % 0.39/0.89 (declare-const tptp.exuE2 Bool) % 0.39/0.89 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.89 (declare-const tptp.notdallE Bool) % 0.39/0.89 (declare-const tptp.dsetconstrER Bool) % 0.39/0.89 (declare-const tptp.eqimpsubset1 Bool) % 0.39/0.89 (declare-const tptp.emptyInPowerset Bool) % 0.39/0.89 (declare-const tptp.exuEu Bool) % 0.39/0.89 (declare-const tptp.setadjoinAx Bool) % 0.39/0.89 (declare-const tptp.subsetemptysetimpeq Bool) % 0.39/0.89 (declare-const tptp.nonemptyE1 Bool) % 0.39/0.89 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.89 (declare-const tptp.eqimpsubset2 Bool) % 0.39/0.89 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.39/0.89 (declare-const tptp.powersetAx Bool) % 0.39/0.89 (declare-const tptp.prop2set2propI Bool) % 0.39/0.89 (declare-const tptp.powersetE Bool) % 0.39/0.89 (declare-const tptp.omegaSAx Bool) % 0.39/0.89 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.89 (declare-const tptp.descrp Bool) % 0.39/0.89 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.39/0.89 (declare-const tptp.omega0Ax Bool) % 0.39/0.89 (declare-const tptp.setoftrueEq Bool) % 0.39/0.89 (declare-const tptp.setunionAx Bool) % 0.39/0.89 (declare-const tptp.omega $$unsorted) % 0.39/0.89 (declare-const tptp.omegaIndAx Bool) % 0.39/0.89 (declare-const tptp.quantDeMorgan4 Bool) % 0.39/0.89 (declare-const tptp.powersetI Bool) % 0.39/0.89 (declare-const tptp.exuE3e Bool) % 0.39/0.89 (declare-const tptp.emptyI Bool) % 0.39/0.89 (declare-const tptp.noeltsimpempty Bool) % 0.39/0.89 (declare-const tptp.eqinunit Bool) % 0.39/0.89 (declare-const tptp.powersetI1 Bool) % 0.39/0.89 (declare-const tptp.upairsetIL Bool) % 0.39/0.89 (declare-const tptp.nonemptyI Bool) % 0.39/0.89 (declare-const tptp.emptysetAx Bool) % 0.39/0.89 (declare-const tptp.nonemptyI1 Bool) % 0.39/0.89 (declare-const tptp.descr__Cong Bool) % 0.39/0.89 (declare-const tptp.emptyinunitempty Bool) % 0.39/0.89 (declare-const tptp.setadjoinE Bool) % 0.39/0.89 (declare-const tptp.notdexE Bool) % 0.39/0.89 (declare-const tptp.setunionI Bool) % 0.39/0.89 (declare-const tptp.exuE1 Bool) % 0.39/0.89 (declare-const tptp.setunionE Bool) % 0.39/0.89 (declare-const tptp.exuI2 Bool) % 0.39/0.89 (declare-const tptp.subPowSU Bool) % 0.39/0.89 (declare-const tptp.notinsingleton Bool) % 0.39/0.89 (declare-const tptp.subset2powerset Bool) % 0.39/0.89 (declare-const tptp.setbeta Bool) % 0.39/0.89 (declare-const tptp.singletonsswitch Bool) % 0.39/0.89 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.39/0.89 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.39/0.89 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.89 (define @t2 () (@var "A" $$unsorted)) % 0.39/0.89 (define @t3 () (= @t2 @t1)) % 0.39/0.89 (define @t4 () (@var "Xx" $$unsorted)) % 0.39/0.89 (define @t5 () (_ tptp.in @t4)) % 0.39/0.89 (define @t6 () (_ @t5 @t1)) % 0.39/0.89 (define @t7 () (_ @t5 @t2)) % 0.39/0.89 (define @t8 () (= @t7 @t6)) % 0.39/0.89 (define @t9 () (@list @t4)) % 0.39/0.89 (define @t10 () (forall @t9 @t8)) % 0.39/0.89 (define @t11 () (=> @t10 @t3)) % 0.39/0.89 (define @t12 () (@list @t2 @t1)) % 0.39/0.89 (define @t13 () (forall @t12 @t11)) % 0.39/0.89 (define @t14 () (= tptp.setextAx @t13)) % 0.39/0.89 (define @t15 () (_ @t5 tptp.emptyset)) % 0.39/0.89 (define @t16 () (not @t15)) % 0.39/0.89 (define @t17 () (forall @t9 @t16)) % 0.39/0.89 (define @t18 () (= tptp.emptysetAx @t17)) % 0.39/0.89 (define @t19 () (@var "Xy" $$unsorted)) % 0.39/0.89 (define @t20 () (_ tptp.in @t19)) % 0.39/0.89 (define @t21 () (_ @t20 @t2)) % 0.39/0.89 (define @t22 () (= @t19 @t4)) % 0.39/0.89 (define @t23 () (or @t22 @t21)) % 0.39/0.89 (define @t24 () (_ tptp.setadjoin @t4)) % 0.39/0.89 (define @t25 () (_ @t24 @t2)) % 0.39/0.89 (define @t26 () (_ @t20 @t25)) % 0.39/0.89 (define @t27 () (= @t26 @t23)) % 0.39/0.89 (define @t28 () (@list @t4 @t2 @t19)) % 0.39/0.89 (define @t29 () (forall @t28 @t27)) % 0.39/0.89 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.39/0.89 (define @t31 () (=> @t6 @t7)) % 0.39/0.89 (define @t32 () (forall @t9 @t31)) % 0.39/0.89 (define @t33 () (_ tptp.powerset @t2)) % 0.39/0.89 (define @t34 () (_ tptp.in @t1)) % 0.39/0.89 (define @t35 () (_ @t34 @t33)) % 0.39/0.89 (define @t36 () (= @t35 @t32)) % 0.39/0.89 (define @t37 () (forall @t12 @t36)) % 0.39/0.89 (define @t38 () (= tptp.powersetAx @t37)) % 0.39/0.89 (define @t39 () (_ @t34 @t2)) % 0.39/0.89 (define @t40 () (and @t6 @t39)) % 0.39/0.89 (define @t41 () (@list @t1)) % 0.39/0.89 (define @t42 () (exists @t41 @t40)) % 0.39/0.89 (define @t43 () (_ tptp.setunion @t2)) % 0.39/0.89 (define @t44 () (_ @t5 @t43)) % 0.39/0.89 (define @t45 () (= @t44 @t42)) % 0.39/0.89 (define @t46 () (@list @t2 @t4)) % 0.39/0.89 (define @t47 () (forall @t46 @t45)) % 0.39/0.89 (define @t48 () (= tptp.setunionAx @t47)) % 0.39/0.89 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.39/0.89 (define @t50 () (_ @t49 tptp.omega)) % 0.39/0.89 (define @t51 () (_ @t24 @t4)) % 0.39/0.89 (define @t52 () (_ tptp.in @t51)) % 0.39/0.89 (define @t53 () (_ @t52 tptp.omega)) % 0.39/0.89 (define @t54 () (_ @t5 tptp.omega)) % 0.39/0.89 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.39/0.89 (define @t56 () (= tptp.omegaSAx @t55)) % 0.39/0.89 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.39/0.89 (define @t58 () (_ @t52 @t2)) % 0.39/0.89 (define @t59 () (and @t54 @t7)) % 0.39/0.89 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.39/0.89 (define @t61 () (_ @t49 @t2)) % 0.39/0.89 (define @t62 () (and @t61 @t60)) % 0.39/0.89 (define @t63 () (=> @t62 @t57)) % 0.39/0.89 (define @t64 () (@list @t2)) % 0.39/0.89 (define @t65 () (forall @t64 @t63)) % 0.39/0.89 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.39/0.89 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.39/0.89 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.39/0.89 (define @t69 () (and @t21 @t68)) % 0.39/0.89 (define @t70 () (@list @t19)) % 0.39/0.89 (define @t71 () (exists @t70 @t69)) % 0.39/0.89 (define @t72 () (= @t6 @t71)) % 0.39/0.89 (define @t73 () (forall @t9 @t72)) % 0.39/0.89 (define @t74 () (exists @t41 @t73)) % 0.39/0.89 (define @t75 () (_ @t67 @t4)) % 0.39/0.89 (define @t76 () (_ @t75 @t19)) % 0.39/0.89 (define @t77 () (lambda @t70 @t76)) % 0.39/0.89 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.39/0.89 (define @t79 () (forall @t9 @t78)) % 0.39/0.89 (define @t80 () (=> @t79 @t74)) % 0.39/0.89 (define @t81 () (@list @t67 @t2)) % 0.39/0.89 (define @t82 () (forall @t81 @t80)) % 0.39/0.89 (define @t83 () (= tptp.replAx @t82)) % 0.39/0.89 (define @t84 () (and @t6 @t7)) % 0.39/0.89 (define @t85 () (exists @t9 @t84)) % 0.39/0.89 (define @t86 () (not @t85)) % 0.39/0.89 (define @t87 () (and @t39 @t86)) % 0.39/0.89 (define @t88 () (exists @t41 @t87)) % 0.39/0.89 (define @t89 () (exists @t9 @t7)) % 0.39/0.89 (define @t90 () (=> @t89 @t88)) % 0.39/0.89 (define @t91 () (forall @t64 @t90)) % 0.39/0.89 (define @t92 () (= tptp.foundationAx @t91)) % 0.39/0.89 (define @t93 () (@var "E" $$unsorted)) % 0.39/0.89 (define @t94 () (_ @t5 @t93)) % 0.39/0.89 (define @t95 () (@var "D" $$unsorted)) % 0.39/0.89 (define @t96 () (_ @t20 @t95)) % 0.39/0.89 (define @t97 () (_ @t20 @t93)) % 0.39/0.89 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.39/0.89 (define @t99 () (or @t98 @t94)) % 0.39/0.89 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.39/0.89 (define @t101 () (=> @t100 @t99)) % 0.39/0.89 (define @t102 () (@list @t93)) % 0.39/0.89 (define @t103 () (forall @t102 @t101)) % 0.39/0.89 (define @t104 () (@var "C" $$unsorted)) % 0.39/0.89 (define @t105 () (_ @t20 @t104)) % 0.39/0.89 (define @t106 () (and @t96 @t105)) % 0.39/0.89 (define @t107 () (exists @t70 @t106)) % 0.39/0.89 (define @t108 () (not @t107)) % 0.39/0.89 (define @t109 () (_ @t5 @t104)) % 0.39/0.89 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.39/0.89 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.39/0.89 (define @t112 () (@list @t95 @t4)) % 0.39/0.89 (define @t113 () (exists @t112 @t111)) % 0.39/0.89 (define @t114 () (exists @t9 @t109)) % 0.39/0.89 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.39/0.89 (define @t116 () (and @t115 @t114)) % 0.39/0.89 (define @t117 () (=> @t116 @t113)) % 0.39/0.89 (define @t118 () (@list @t104)) % 0.39/0.89 (define @t119 () (forall @t118 @t117)) % 0.39/0.89 (define @t120 () (_ @t5 @t95)) % 0.39/0.89 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.39/0.89 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.39/0.89 (define @t123 () (or @t122 @t121)) % 0.39/0.89 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.39/0.89 (define @t125 () (and @t124 @t110)) % 0.39/0.89 (define @t126 () (=> @t125 @t123)) % 0.39/0.89 (define @t127 () (@list @t104 @t95)) % 0.39/0.89 (define @t128 () (forall @t127 @t126)) % 0.39/0.89 (define @t129 () (= @t4 @t19)) % 0.39/0.89 (define @t130 () (= @t109 @t105)) % 0.39/0.89 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.39/0.89 (define @t132 () (=> @t131 @t129)) % 0.39/0.89 (define @t133 () (and @t7 @t21)) % 0.39/0.89 (define @t134 () (=> @t133 @t132)) % 0.39/0.89 (define @t135 () (@list @t4 @t19)) % 0.39/0.89 (define @t136 () (forall @t135 @t134)) % 0.39/0.89 (define @t137 () (=> @t124 @t115)) % 0.39/0.89 (define @t138 () (forall @t118 @t137)) % 0.39/0.89 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.39/0.89 (define @t140 () (exists @t41 @t139)) % 0.39/0.89 (define @t141 () (forall @t64 @t140)) % 0.39/0.89 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.39/0.89 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.39/0.89 (define @t144 () (_ @t143 @t4)) % 0.39/0.89 (define @t145 () (lambda @t9 @t144)) % 0.39/0.89 (define @t146 () (_ tptp.descr @t145)) % 0.39/0.89 (define @t147 () (_ @t143 @t146)) % 0.39/0.89 (define @t148 () (_ tptp.exu @t145)) % 0.39/0.89 (define @t149 () (=> @t148 @t147)) % 0.39/0.89 (define @t150 () (@list @t143)) % 0.39/0.89 (define @t151 () (forall @t150 @t149)) % 0.39/0.89 (define @t152 () (= tptp.descrp @t151)) % 0.39/0.89 (define @t153 () (_ @t143 @t19)) % 0.39/0.89 (define @t154 () (lambda @t70 @t153)) % 0.39/0.89 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.39/0.89 (define @t156 () (_ @t155 @t154)) % 0.39/0.89 (define @t157 () (_ @t5 @t156)) % 0.39/0.89 (define @t158 () (=> @t144 @t157)) % 0.39/0.89 (define @t159 () (@list @t2 @t143 @t4)) % 0.39/0.89 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.39/0.89 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.39/0.89 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.39/0.89 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.39/0.89 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.39/0.89 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.39/0.89 (define @t166 () (=> @t153 @t129)) % 0.39/0.89 (define @t167 () (forall @t70 @t166)) % 0.39/0.89 (define @t168 () (and @t144 @t167)) % 0.39/0.89 (define @t169 () (exists @t9 @t168)) % 0.39/0.89 (define @t170 () (=> @t148 @t169)) % 0.39/0.89 (define @t171 () (forall @t150 @t170)) % 0.39/0.89 (define @t172 () (= tptp.exuE1 @t171)) % 0.39/0.89 (define @t173 () (@var "Xphi" Bool)) % 0.39/0.89 (define @t174 () (_ tptp.prop2set @t173)) % 0.39/0.89 (define @t175 () (_ @t5 @t174)) % 0.39/0.89 (define @t176 () (@list @t173 @t4)) % 0.39/0.89 (define @t177 () (forall @t176 (=> @t175 @t173))) % 0.39/0.89 (define @t178 () (= tptp.prop2setE @t177)) % 0.39/0.89 (define @t179 () (@list @t173)) % 0.39/0.89 (define @t180 () (forall @t179 @t173)) % 0.39/0.89 (define @t181 () (=> @t15 @t180)) % 0.39/0.89 (define @t182 () (forall @t9 @t181)) % 0.39/0.89 (define @t183 () (= tptp.emptysetE @t182)) % 0.39/0.89 (define @t184 () (forall @t9 (=> @t15 false))) % 0.39/0.89 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 0.39/0.89 (define @t186 () (exists @t9 @t144)) % 0.39/0.89 (define @t187 () (=> @t148 @t186)) % 0.39/0.89 (define @t188 () (forall @t150 @t187)) % 0.39/0.89 (define @t189 () (= tptp.exuE3e @t188)) % 0.39/0.89 (define @t190 () (=> @t32 @t3)) % 0.39/0.89 (define @t191 () (=> @t7 @t6)) % 0.39/0.89 (define @t192 () (forall @t9 @t191)) % 0.39/0.89 (define @t193 () (=> @t192 @t190)) % 0.39/0.89 (define @t194 () (forall @t12 @t193)) % 0.39/0.89 (define @t195 () (= tptp.setext @t194)) % 0.39/0.89 (define @t196 () (= @t2 tptp.emptyset)) % 0.39/0.89 (define @t197 () (not @t7)) % 0.39/0.89 (define @t198 () (forall @t9 @t197)) % 0.39/0.89 (define @t199 () (=> @t198 @t196)) % 0.39/0.89 (define @t200 () (forall @t64 @t199)) % 0.39/0.89 (define @t201 () (= tptp.emptyI @t200)) % 0.39/0.89 (define @t202 () (=> @t7 (= @t157 @t144))) % 0.39/0.89 (define @t203 () (forall @t159 @t202)) % 0.39/0.89 (define @t204 () (= tptp.setbeta @t203)) % 0.39/0.89 (define @t205 () (_ tptp.nonempty @t2)) % 0.39/0.89 (define @t206 () (=> @t205 @t89)) % 0.39/0.89 (define @t207 () (forall @t64 @t206)) % 0.39/0.89 (define @t208 () (= tptp.nonemptyE1 @t207)) % 0.39/0.89 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 0.39/0.89 (define @t210 () (=> @t7 @t209)) % 0.39/0.89 (define @t211 () (forall @t159 @t210)) % 0.39/0.89 (define @t212 () (= tptp.nonemptyI @t211)) % 0.39/0.89 (define @t213 () (=> @t89 @t205)) % 0.39/0.89 (define @t214 () (forall @t64 @t213)) % 0.39/0.89 (define @t215 () (= tptp.nonemptyI1 @t214)) % 0.39/0.89 (define @t216 () (_ @t24 @t19)) % 0.39/0.89 (define @t217 () (_ @t5 @t216)) % 0.39/0.89 (define @t218 () (forall @t135 @t217)) % 0.39/0.89 (define @t219 () (= tptp.setadjoinIL @t218)) % 0.39/0.89 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.39/0.89 (define @t221 () (_ @t49 @t220)) % 0.39/0.89 (define @t222 () (forall @t28 (=> @t21 @t26))) % 0.39/0.89 (define @t223 () (= tptp.setadjoinIR @t222)) % 0.39/0.89 (define @t224 () (=> @t21 @t173)) % 0.39/0.89 (define @t225 () (=> @t224 @t173)) % 0.39/0.89 (define @t226 () (=> @t22 @t173)) % 0.39/0.89 (define @t227 () (=> @t226 @t225)) % 0.39/0.89 (define @t228 () (forall @t179 @t227)) % 0.39/0.89 (define @t229 () (=> @t26 @t228)) % 0.39/0.89 (define @t230 () (forall @t28 @t229)) % 0.39/0.89 (define @t231 () (= tptp.setadjoinE @t230)) % 0.39/0.89 (define @t232 () (=> @t26 @t23)) % 0.39/0.89 (define @t233 () (forall @t28 @t232)) % 0.39/0.89 (define @t234 () (= tptp.setadjoinOr @t233)) % 0.39/0.89 (define @t235 () (lambda @t9 true)) % 0.39/0.89 (define @t236 () (= (_ @t155 @t235) @t2)) % 0.39/0.89 (define @t237 () (forall @t64 @t236)) % 0.39/0.89 (define @t238 () (= tptp.setoftrueEq @t237)) % 0.39/0.89 (define @t239 () (=> @t32 @t35)) % 0.39/0.89 (define @t240 () (forall @t12 @t239)) % 0.39/0.89 (define @t241 () (= tptp.powersetI @t240)) % 0.39/0.89 (define @t242 () (_ @t49 @t33)) % 0.39/0.89 (define @t243 () (forall @t64 @t242)) % 0.39/0.89 (define @t244 () (= tptp.emptyinPowerset @t243)) % 0.39/0.89 (define @t245 () (@list @t2 @t1 @t4)) % 0.39/0.89 (define @t246 () (forall @t245 (=> @t35 @t31))) % 0.39/0.89 (define @t247 () (= tptp.powersetE @t246)) % 0.39/0.89 (define @t248 () (=> @t39 @t44)) % 0.39/0.89 (define @t249 () (@list @t2 @t4 @t1)) % 0.39/0.89 (define @t250 () (forall @t249 (=> @t6 @t248))) % 0.39/0.89 (define @t251 () (= tptp.setunionI @t250)) % 0.39/0.89 (define @t252 () (=> @t39 @t173)) % 0.39/0.89 (define @t253 () (forall @t41 (=> @t6 @t252))) % 0.39/0.89 (define @t254 () (=> @t253 @t173)) % 0.39/0.89 (define @t255 () (forall @t179 @t254)) % 0.39/0.89 (define @t256 () (=> @t44 @t255)) % 0.39/0.89 (define @t257 () (forall @t46 @t256)) % 0.39/0.89 (define @t258 () (= tptp.setunionE @t257)) % 0.39/0.89 (define @t259 () (_ tptp.powerset @t43)) % 0.39/0.89 (define @t260 () (_ @t5 @t259)) % 0.39/0.89 (define @t261 () (forall @t46 (=> @t7 @t260))) % 0.39/0.89 (define @t262 () (= tptp.subPowSU @t261)) % 0.39/0.89 (define @t263 () (= @t153 @t22)) % 0.39/0.89 (define @t264 () (forall @t70 @t263)) % 0.39/0.89 (define @t265 () (exists @t9 @t264)) % 0.39/0.89 (define @t266 () (=> @t148 @t265)) % 0.39/0.89 (define @t267 () (forall @t150 @t266)) % 0.39/0.89 (define @t268 () (= tptp.exuE2 @t267)) % 0.39/0.89 (define @t269 () (and @t7 true)) % 0.39/0.89 (define @t270 () (exists @t9 @t269)) % 0.39/0.89 (define @t271 () (=> @t205 @t270)) % 0.39/0.89 (define @t272 () (forall @t64 @t271)) % 0.39/0.89 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 0.39/0.89 (define @t274 () (_ tptp.setadjoin @t19)) % 0.39/0.89 (define @t275 () (_ @t274 tptp.emptyset)) % 0.39/0.89 (define @t276 () (_ @t5 @t275)) % 0.39/0.89 (define @t277 () (forall @t135 (=> @t276 @t129))) % 0.39/0.89 (define @t278 () (= tptp.uniqinunit @t277)) % 0.39/0.89 (define @t279 () (_ @t24 tptp.emptyset)) % 0.39/0.89 (define @t280 () (_ @t20 @t279)) % 0.39/0.89 (define @t281 () (not @t280)) % 0.39/0.89 (define @t282 () (not @t129)) % 0.39/0.89 (define @t283 () (forall @t135 (=> @t282 @t281))) % 0.39/0.89 (define @t284 () (= tptp.notinsingleton @t283)) % 0.39/0.89 (define @t285 () (forall @t135 (=> @t129 @t276))) % 0.39/0.89 (define @t286 () (= tptp.eqinunit @t285)) % 0.39/0.89 (define @t287 () (forall @t135 (=> @t276 @t280))) % 0.39/0.89 (define @t288 () (= tptp.singletonsswitch @t287)) % 0.39/0.89 (define @t289 () (@var "Xz" $$unsorted)) % 0.39/0.89 (define @t290 () (or (= @t289 @t4) (= @t289 @t19))) % 0.39/0.89 (define @t291 () (_ @t24 @t275)) % 0.39/0.89 (define @t292 () (_ tptp.in @t289)) % 0.39/0.89 (define @t293 () (_ @t292 @t291)) % 0.39/0.89 (define @t294 () (=> @t293 @t290)) % 0.39/0.89 (define @t295 () (@list @t4 @t19 @t289)) % 0.39/0.89 (define @t296 () (forall @t295 @t294)) % 0.39/0.89 (define @t297 () (= tptp.upairsetE @t296)) % 0.39/0.89 (define @t298 () (_ @t5 @t291)) % 0.39/0.89 (define @t299 () (forall @t135 @t298)) % 0.39/0.89 (define @t300 () (= tptp.upairsetIL @t299)) % 0.39/0.89 (define @t301 () (_ @t20 @t291)) % 0.39/0.89 (define @t302 () (forall @t135 @t301)) % 0.39/0.89 (define @t303 () (= tptp.upairsetIR @t302)) % 0.39/0.89 (define @t304 () (_ @t155 @t145)) % 0.39/0.89 (define @t305 () (= @t304 tptp.emptyset)) % 0.39/0.89 (define @t306 () (and @t7 @t144)) % 0.39/0.89 (define @t307 () (exists @t9 @t306)) % 0.39/0.89 (define @t308 () (=> @t307 (=> @t305 false))) % 0.39/0.89 (define @t309 () (@list @t2 @t143)) % 0.39/0.89 (define @t310 () (forall @t309 @t308)) % 0.39/0.89 (define @t311 () (= tptp.emptyE1 @t310)) % 0.39/0.89 (define @t312 () (@list @t143 @t4)) % 0.39/0.89 (define @t313 () (forall @t312 (=> @t15 @t144))) % 0.39/0.89 (define @t314 () (= tptp.vacuousDall @t313)) % 0.39/0.89 (define @t315 () (not @t144)) % 0.39/0.89 (define @t316 () (and @t7 @t315)) % 0.39/0.89 (define @t317 () (exists @t9 @t316)) % 0.39/0.89 (define @t318 () (forall @t9 (=> @t7 @t144))) % 0.39/0.89 (define @t319 () (not @t318)) % 0.39/0.89 (define @t320 () (=> @t319 @t317)) % 0.39/0.89 (define @t321 () (forall @t309 @t320)) % 0.39/0.89 (define @t322 () (= tptp.quantDeMorgan1 @t321)) % 0.39/0.89 (define @t323 () (not @t307)) % 0.39/0.89 (define @t324 () (forall @t9 (=> @t7 @t315))) % 0.39/0.89 (define @t325 () (=> @t324 @t323)) % 0.39/0.89 (define @t326 () (forall @t309 @t325)) % 0.39/0.89 (define @t327 () (= tptp.quantDeMorgan2 @t326)) % 0.39/0.89 (define @t328 () (=> @t323 @t324)) % 0.39/0.89 (define @t329 () (forall @t309 @t328)) % 0.39/0.89 (define @t330 () (= tptp.quantDeMorgan3 @t329)) % 0.39/0.89 (define @t331 () (=> @t317 @t319)) % 0.39/0.89 (define @t332 () (forall @t309 @t331)) % 0.39/0.89 (define @t333 () (= tptp.quantDeMorgan4 @t332)) % 0.39/0.89 (define @t334 () (_ @t49 @t174)) % 0.39/0.89 (define @t335 () (forall @t179 (=> @t173 @t334))) % 0.39/0.89 (define @t336 () (= tptp.prop2setI @t335)) % 0.39/0.89 (define @t337 () (_ tptp.set2prop @t174)) % 0.39/0.89 (define @t338 () (forall @t179 (=> @t173 @t337))) % 0.39/0.89 (define @t339 () (= tptp.prop2set2propI @t338)) % 0.39/0.89 (define @t340 () (=> @t169 @t148)) % 0.39/0.89 (define @t341 () (forall @t150 @t340)) % 0.39/0.89 (define @t342 () (= tptp.exuI1 @t341)) % 0.39/0.89 (define @t343 () (forall @t135 (=> @t144 @t166))) % 0.39/0.89 (define @t344 () (=> @t343 @t148)) % 0.39/0.89 (define @t345 () (=> @t186 @t344)) % 0.39/0.89 (define @t346 () (forall @t150 @t345)) % 0.39/0.89 (define @t347 () (= tptp.exuI3 @t346)) % 0.39/0.89 (define @t348 () (=> @t265 @t148)) % 0.39/0.89 (define @t349 () (forall @t150 @t348)) % 0.39/0.89 (define @t350 () (= tptp.exuI2 @t349)) % 0.39/0.89 (define @t351 () (_ @t20 @t1)) % 0.39/0.89 (define @t352 () (=> @t7 @t351)) % 0.39/0.89 (define @t353 () (forall @t135 (=> @t129 @t352))) % 0.39/0.89 (define @t354 () (=> @t3 @t353)) % 0.39/0.89 (define @t355 () (forall @t12 @t354)) % 0.39/0.89 (define @t356 () (= tptp.inCongP @t355)) % 0.39/0.89 (define @t357 () (= @t7 @t351)) % 0.39/0.89 (define @t358 () (forall @t135 (=> @t129 @t357))) % 0.39/0.89 (define @t359 () (=> @t3 @t358)) % 0.39/0.89 (define @t360 () (forall @t12 @t359)) % 0.39/0.89 (define @t361 () (= tptp.in__Cong @t360)) % 0.39/0.89 (define @t362 () (=> @t148 @t343)) % 0.39/0.89 (define @t363 () (forall @t150 @t362)) % 0.39/0.89 (define @t364 () (= tptp.exuE3u @t363)) % 0.39/0.89 (define @t365 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.39/0.89 (define @t366 () (_ @t365 @t4)) % 0.39/0.89 (define @t367 () (lambda @t9 @t366)) % 0.39/0.89 (define @t368 () (_ tptp.exu @t367)) % 0.39/0.89 (define @t369 () (= @t148 @t368)) % 0.39/0.89 (define @t370 () (_ @t365 @t19)) % 0.39/0.89 (define @t371 () (= @t144 @t370)) % 0.39/0.89 (define @t372 () (=> @t129 @t371)) % 0.39/0.89 (define @t373 () (forall @t135 @t372)) % 0.39/0.89 (define @t374 () (=> @t373 @t369)) % 0.39/0.89 (define @t375 () (@list @t143 @t365)) % 0.39/0.89 (define @t376 () (forall @t375 @t374)) % 0.39/0.89 (define @t377 () (= tptp.exu__Cong @t376)) % 0.39/0.89 (define @t378 () (= tptp.emptyset tptp.emptyset)) % 0.39/0.89 (define @t379 () (= tptp.emptyset__Cong @t378)) % 0.39/0.89 (define @t380 () (@var "Xu" $$unsorted)) % 0.39/0.89 (define @t381 () (_ @t274 @t380)) % 0.39/0.89 (define @t382 () (_ @t24 @t289)) % 0.39/0.89 (define @t383 () (= @t382 @t381)) % 0.39/0.89 (define @t384 () (= @t289 @t380)) % 0.39/0.89 (define @t385 () (@list @t289 @t380)) % 0.39/0.89 (define @t386 () (forall @t385 (=> @t384 @t383))) % 0.39/0.89 (define @t387 () (=> @t129 @t386)) % 0.39/0.89 (define @t388 () (forall @t135 @t387)) % 0.39/0.89 (define @t389 () (= tptp.setadjoin__Cong @t388)) % 0.39/0.89 (define @t390 () (_ tptp.powerset @t1)) % 0.39/0.89 (define @t391 () (= @t33 @t390)) % 0.39/0.89 (define @t392 () (forall @t12 (=> @t3 @t391))) % 0.39/0.89 (define @t393 () (= tptp.powerset__Cong @t392)) % 0.39/0.89 (define @t394 () (_ tptp.setunion @t1)) % 0.39/0.89 (define @t395 () (= @t43 @t394)) % 0.39/0.89 (define @t396 () (forall @t12 (=> @t3 @t395))) % 0.39/0.89 (define @t397 () (= tptp.setunion__Cong @t396)) % 0.39/0.89 (define @t398 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.39/0.89 (define @t399 () (= tptp.exuEu @t363)) % 0.39/0.89 (define @t400 () (_ tptp.descr @t367)) % 0.39/0.89 (define @t401 () (= @t146 @t400)) % 0.39/0.89 (define @t402 () (=> @t368 @t401)) % 0.39/0.89 (define @t403 () (=> @t148 @t402)) % 0.39/0.89 (define @t404 () (=> @t373 @t403)) % 0.39/0.89 (define @t405 () (forall @t375 @t404)) % 0.39/0.89 (define @t406 () (= tptp.descr__Cong @t405)) % 0.39/0.89 (define @t407 () (_ tptp.dsetconstr @t1)) % 0.39/0.89 (define @t408 () (_ @t407 @t367)) % 0.39/0.89 (define @t409 () (= @t304 @t408)) % 0.39/0.89 (define @t410 () (forall @t70 (=> @t351 @t372))) % 0.39/0.89 (define @t411 () (=> @t7 @t410)) % 0.39/0.89 (define @t412 () (forall @t9 @t411)) % 0.39/0.89 (define @t413 () (=> @t412 @t409)) % 0.39/0.89 (define @t414 () (forall @t375 @t413)) % 0.39/0.89 (define @t415 () (=> @t3 @t414)) % 0.39/0.89 (define @t416 () (forall @t12 @t415)) % 0.39/0.89 (define @t417 () (= tptp.dsetconstr__Cong @t416)) % 0.39/0.89 (define @t418 () (_ tptp.subset @t2)) % 0.39/0.89 (define @t419 () (_ @t418 @t1)) % 0.39/0.89 (define @t420 () (=> @t192 @t419)) % 0.39/0.89 (define @t421 () (forall @t12 @t420)) % 0.39/0.89 (define @t422 () (= tptp.subsetI1 @t421)) % 0.39/0.89 (define @t423 () (_ tptp.subset @t1)) % 0.39/0.89 (define @t424 () (_ @t423 @t2)) % 0.39/0.89 (define @t425 () (forall @t12 (=> @t3 @t424))) % 0.39/0.89 (define @t426 () (= tptp.eqimpsubset2 @t425)) % 0.39/0.89 (define @t427 () (forall @t12 (=> @t3 @t419))) % 0.39/0.89 (define @t428 () (= tptp.eqimpsubset1 @t427)) % 0.39/0.89 (define @t429 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 0.39/0.89 (define @t430 () (forall @t64 @t429)) % 0.39/0.89 (define @t431 () (= tptp.emptysetsubset @t430)) % 0.39/0.89 (define @t432 () (forall @t245 (=> @t419 @t191))) % 0.39/0.89 (define @t433 () (= tptp.subsetE @t432)) % 0.39/0.89 (define @t434 () (not @t6)) % 0.39/0.89 (define @t435 () (=> @t434 @t197)) % 0.39/0.89 (define @t436 () (forall @t245 (=> @t419 @t435))) % 0.39/0.89 (define @t437 () (= tptp.subsetE2 @t436)) % 0.39/0.89 (define @t438 () (not @t419)) % 0.39/0.89 (define @t439 () (=> @t434 @t438)) % 0.39/0.89 (define @t440 () (forall @t245 (=> @t7 @t439))) % 0.39/0.89 (define @t441 () (= tptp.notsubsetI @t440)) % 0.39/0.89 (define @t442 () (not @t3)) % 0.39/0.89 (define @t443 () (forall @t12 (=> @t438 @t442))) % 0.39/0.89 (define @t444 () (= tptp.notequalI1 @t443)) % 0.39/0.89 (define @t445 () (=> @t434 @t442)) % 0.39/0.89 (define @t446 () (forall @t245 (=> @t7 @t445))) % 0.39/0.89 (define @t447 () (= tptp.notequalI2 @t446)) % 0.39/0.89 (define @t448 () (_ @t418 @t2)) % 0.39/0.89 (define @t449 () (forall @t64 @t448)) % 0.39/0.89 (define @t450 () (= tptp.subsetRefl @t449)) % 0.39/0.89 (define @t451 () (_ @t418 @t104)) % 0.39/0.89 (define @t452 () (_ @t423 @t104)) % 0.39/0.89 (define @t453 () (=> @t452 @t451)) % 0.39/0.89 (define @t454 () (@list @t2 @t1 @t104)) % 0.39/0.89 (define @t455 () (forall @t454 (=> @t419 @t453))) % 0.39/0.89 (define @t456 () (= tptp.subsetTrans @t455)) % 0.39/0.89 (define @t457 () (_ @t418 @t25)) % 0.39/0.89 (define @t458 () (@list @t4 @t2)) % 0.39/0.89 (define @t459 () (forall @t458 @t457)) % 0.39/0.89 (define @t460 () (= tptp.setadjoinSub @t459)) % 0.39/0.89 (define @t461 () (_ @t24 @t1)) % 0.39/0.89 (define @t462 () (_ @t418 @t461)) % 0.39/0.89 (define @t463 () (forall @t249 (=> @t419 @t462))) % 0.39/0.89 (define @t464 () (= tptp.setadjoinSub2 @t463)) % 0.39/0.89 (define @t465 () (_ tptp.in @t2)) % 0.39/0.89 (define @t466 () (_ @t465 @t390)) % 0.39/0.89 (define @t467 () (forall @t12 (=> @t419 @t466))) % 0.39/0.89 (define @t468 () (= tptp.subset2powerset @t467)) % 0.39/0.89 (define @t469 () (=> @t424 @t3)) % 0.39/0.89 (define @t470 () (forall @t12 (=> @t419 @t469))) % 0.39/0.89 (define @t471 () (= tptp.setextsub @t470)) % 0.39/0.89 (define @t472 () (_ @t418 tptp.emptyset)) % 0.39/0.89 (define @t473 () (forall @t64 (=> @t472 @t196))) % 0.39/0.89 (define @t474 () (= tptp.subsetemptysetimpeq @t473)) % 0.39/0.89 (define @t475 () (forall @t12 (=> @t424 @t35))) % 0.39/0.89 (define @t476 () (= tptp.powersetI1 @t475)) % 0.39/0.89 (define @t477 () (forall @t12 (=> @t35 @t424))) % 0.39/0.89 (define @t478 () (= tptp.powersetE1 @t477)) % 0.39/0.89 (define @t479 () (_ @t465 @t33)) % 0.39/0.89 (define @t480 () (forall @t64 @t479)) % 0.39/0.89 (define @t481 () (=> tptp.powersetE1 @t480)) % 0.39/0.89 (define @t482 () (=> tptp.powersetI1 @t481)) % 0.39/0.89 (define @t483 () (=> tptp.subsetemptysetimpeq @t482)) % 0.39/0.89 (define @t484 () (=> tptp.setextsub @t483)) % 0.39/0.89 (define @t485 () (=> tptp.subset2powerset @t484)) % 0.39/0.89 (define @t486 () (=> tptp.setadjoinSub2 @t485)) % 0.39/0.89 (define @t487 () (=> tptp.setadjoinSub @t486)) % 0.39/0.89 (define @t488 () (=> tptp.subsetTrans @t487)) % 0.39/0.89 (define @t489 () (=> tptp.subsetRefl @t488)) % 0.39/0.89 (define @t490 () (=> tptp.notequalI2 @t489)) % 0.39/0.89 (define @t491 () (=> tptp.notequalI1 @t490)) % 0.39/0.89 (define @t492 () (=> tptp.notsubsetI @t491)) % 0.39/0.89 (define @t493 () (=> tptp.subsetE2 @t492)) % 0.39/0.89 (define @t494 () (=> tptp.subsetE @t493)) % 0.39/0.89 (define @t495 () (=> tptp.emptysetsubset @t494)) % 0.39/0.89 (define @t496 () (=> tptp.subsetI2 @t495)) % 0.39/0.89 (define @t497 () (=> tptp.eqimpsubset1 @t496)) % 0.39/0.89 (define @t498 () (=> tptp.eqimpsubset2 @t497)) % 0.39/0.89 (define @t499 () (=> tptp.subsetI1 @t498)) % 0.39/0.89 (define @t500 () (=> tptp.dsetconstr__Cong @t499)) % 0.39/0.89 (define @t501 () (=> tptp.descr__Cong @t500)) % 0.39/0.89 (define @t502 () (=> tptp.exuEu @t501)) % 0.39/0.89 (define @t503 () (=> tptp.omega__Cong @t502)) % 0.39/0.89 (define @t504 () (=> tptp.setunion__Cong @t503)) % 0.39/0.89 (define @t505 () (=> tptp.powerset__Cong @t504)) % 0.39/0.89 (define @t506 () (=> tptp.setadjoin__Cong @t505)) % 0.39/0.89 (define @t507 () (=> tptp.emptyset__Cong @t506)) % 0.39/0.89 (define @t508 () (=> tptp.exu__Cong @t507)) % 0.39/0.89 (define @t509 () (=> tptp.exuE3u @t508)) % 0.39/0.89 (define @t510 () (=> tptp.in__Cong @t509)) % 0.39/0.89 (define @t511 () (=> tptp.inCongP @t510)) % 0.39/0.89 (define @t512 () (=> tptp.exuI2 @t511)) % 0.39/0.89 (define @t513 () (=> tptp.exuI3 @t512)) % 0.39/0.89 (define @t514 () (=> tptp.exuI1 @t513)) % 0.39/0.89 (define @t515 () (=> tptp.notdallE @t514)) % 0.39/0.89 (define @t516 () (=> tptp.notdexE @t515)) % 0.39/0.89 (define @t517 () (=> tptp.prop2set2propI @t516)) % 0.39/0.89 (define @t518 () (=> tptp.prop2setI @t517)) % 0.39/0.89 (define @t519 () (=> tptp.quantDeMorgan4 @t518)) % 0.39/0.89 (define @t520 () (=> tptp.quantDeMorgan3 @t519)) % 0.39/0.89 (define @t521 () (=> tptp.quantDeMorgan2 @t520)) % 0.39/0.89 (define @t522 () (=> tptp.quantDeMorgan1 @t521)) % 0.39/0.89 (define @t523 () (=> tptp.vacuousDall @t522)) % 0.39/0.89 (define @t524 () (=> tptp.emptyE1 @t523)) % 0.39/0.89 (define @t525 () (=> tptp.upairsetIR @t524)) % 0.39/0.89 (define @t526 () (=> tptp.upairsetIL @t525)) % 0.39/0.89 (define @t527 () (=> tptp.upairsetE @t526)) % 0.39/0.89 (define @t528 () (=> tptp.singletonsswitch @t527)) % 0.39/0.89 (define @t529 () (=> tptp.eqinunit @t528)) % 0.39/0.89 (define @t530 () (=> tptp.notinsingleton @t529)) % 0.39/0.89 (define @t531 () (=> tptp.uniqinunit @t530)) % 0.39/0.89 (define @t532 () (=> tptp.nonemptyImpWitness @t531)) % 0.39/0.89 (define @t533 () (=> tptp.exuE2 @t532)) % 0.39/0.89 (define @t534 () (=> tptp.subPowSU @t533)) % 0.39/0.89 (define @t535 () (=> tptp.setunionE @t534)) % 0.39/0.89 (define @t536 () (=> tptp.setunionI @t535)) % 0.39/0.89 (define @t537 () (=> tptp.powersetE @t536)) % 0.39/0.89 (define @t538 () (=> tptp.emptyInPowerset @t537)) % 0.39/0.89 (define @t539 () (=> tptp.emptyinPowerset @t538)) % 0.39/0.89 (define @t540 () (=> tptp.powersetI @t539)) % 0.39/0.89 (define @t541 () (=> tptp.setoftrueEq @t540)) % 0.39/0.89 (define @t542 () (=> tptp.setadjoinOr @t541)) % 0.39/0.89 (define @t543 () (=> tptp.setadjoinE @t542)) % 0.39/0.89 (define @t544 () (=> tptp.setadjoinIR @t543)) % 0.39/0.89 (define @t545 () (=> tptp.emptyinunitempty @t544)) % 0.39/0.89 (define @t546 () (=> tptp.setadjoinIL @t545)) % 0.39/0.89 (define @t547 () (=> tptp.nonemptyI1 @t546)) % 0.39/0.89 (define @t548 () (=> tptp.nonemptyI @t547)) % 0.39/0.89 (define @t549 () (=> tptp.nonemptyE1 @t548)) % 0.39/0.89 (define @t550 () (=> tptp.setbeta @t549)) % 0.39/0.89 (define @t551 () (=> tptp.noeltsimpempty @t550)) % 0.39/0.89 (define @t552 () (=> tptp.emptyI @t551)) % 0.39/0.89 (define @t553 () (=> tptp.setext @t552)) % 0.39/0.89 (define @t554 () (=> tptp.exuE3e @t553)) % 0.39/0.89 (define @t555 () (=> tptp.notinemptyset @t554)) % 0.39/0.89 (define @t556 () (=> tptp.emptysetimpfalse @t555)) % 0.39/0.89 (define @t557 () (=> tptp.emptysetE @t556)) % 0.39/0.89 (define @t558 () (=> tptp.prop2setE @t557)) % 0.39/0.89 (define @t559 () (=> tptp.exuE1 @t558)) % 0.39/0.89 (define @t560 () (=> tptp.dsetconstrER @t559)) % 0.39/0.89 (define @t561 () (=> tptp.dsetconstrEL @t560)) % 0.39/0.89 (define @t562 () (=> tptp.dsetconstrI @t561)) % 0.39/0.89 (define @t563 () (=> tptp.descrp @t562)) % 0.39/0.89 (define @t564 () (=> tptp.wellorderingAx @t563)) % 0.39/0.89 (define @t565 () (=> tptp.foundationAx @t564)) % 0.39/0.89 (define @t566 () (=> tptp.replAx @t565)) % 0.39/0.89 (define @t567 () (=> tptp.omegaIndAx @t566)) % 0.39/0.89 (define @t568 () (=> tptp.omegaSAx @t567)) % 0.39/0.89 (define @t569 () (=> tptp.omega0Ax @t568)) % 0.39/0.89 (define @t570 () (=> tptp.setunionAx @t569)) % 0.39/0.89 (define @t571 () (=> tptp.powersetAx @t570)) % 0.39/0.89 (define @t572 () (=> tptp.setadjoinAx @t571)) % 0.39/0.89 (define @t573 () (=> tptp.emptysetAx @t572)) % 0.39/0.89 (define @t574 () (=> tptp.setextAx @t573)) % 0.39/0.89 (define @t575 () (not @t574)) % 0.39/0.89 (define @t576 () (lambda @t150 @t169)) % 0.39/0.89 (define @t577 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.39/0.89 (define @t578 () (tptp.powerset @t2)) % 0.39/0.89 (define @t579 () (tptp.in @t2 @t578)) % 0.39/0.89 (define @t580 () (forall @t64 @t579)) % 0.39/0.89 (define @t581 () (tptp.subset @t1 @t2)) % 0.39/0.89 (define @t582 () (tptp.in @t1 @t578)) % 0.39/0.89 (define @t583 () (not @t582)) % 0.39/0.89 (define @t584 () (not @t581)) % 0.39/0.89 (define @t585 () (tptp.subset @t2 tptp.emptyset)) % 0.39/0.89 (define @t586 () (tptp.subset @t2 @t1)) % 0.39/0.89 (define @t587 () (not @t586)) % 0.39/0.89 (define @t588 () (tptp.powerset @t1)) % 0.39/0.89 (define @t589 () (tptp.in @t2 @t588)) % 0.39/0.89 (define @t590 () (tptp.setadjoin @t4 @t1)) % 0.39/0.89 (define @t591 () (tptp.subset @t2 @t590)) % 0.39/0.89 (define @t592 () (tptp.setadjoin @t4 @t2)) % 0.39/0.89 (define @t593 () (tptp.subset @t2 @t592)) % 0.39/0.89 (define @t594 () (tptp.subset @t2 @t104)) % 0.39/0.89 (define @t595 () (tptp.subset @t1 @t104)) % 0.39/0.89 (define @t596 () (tptp.subset @t2 @t2)) % 0.39/0.89 (define @t597 () (=> (forall @t64 @t596) (=> (forall @t454 (or @t587 (not @t595) @t594)) (=> (forall @t458 @t593) (=> (forall @t249 (or @t587 @t591)) (=> (forall @t12 (or @t587 @t589)) (=> (forall @t12 (or @t587 @t584 @t3)) (=> (forall @t64 (or (not @t585) @t196)) (=> (forall @t12 (or @t584 @t582)) (=> (forall @t12 (or @t583 @t581)) @t580)))))))))) % 0.39/0.89 (define @t598 () (tptp.subset @t1 @t1)) % 0.39/0.89 (define @t599 () (forall @t41 @t598)) % 0.39/0.89 (define @t600 () (tptp.in @t4 @t1)) % 0.39/0.89 (define @t601 () (tptp.in @t4 @t2)) % 0.39/0.89 (define @t602 () (not @t601)) % 0.39/0.89 (define @t603 () (forall @t245 (or @t602 @t600 @t587))) % 0.39/0.89 (define @t604 () (forall @t245 (or @t587 @t600 @t602))) % 0.39/0.89 (define @t605 () (forall @t245 (or @t587 @t602 @t600))) % 0.39/0.89 (define @t606 () (tptp.subset tptp.emptyset @t2)) % 0.39/0.89 (define @t607 () (forall @t64 @t606)) % 0.39/0.89 (define @t608 () (forall @t9 (or @t602 @t600))) % 0.39/0.89 (define @t609 () (not @t608)) % 0.39/0.89 (define @t610 () (forall @t12 (or @t609 @t586))) % 0.39/0.89 (define @t611 () (@var "BOUND_VARIABLE_9568" (-> $$unsorted Bool))) % 0.39/0.89 (define @t612 () (tptp.dsetconstr @t1 @t611)) % 0.39/0.89 (define @t613 () (@var "BOUND_VARIABLE_9570" (-> $$unsorted Bool))) % 0.39/0.89 (define @t614 () (tptp.dsetconstr @t1 @t613)) % 0.39/0.89 (define @t615 () (= @t614 @t612)) % 0.39/0.89 (define @t616 () (= (_ @t611 @t4) (_ @t613 @t4))) % 0.39/0.89 (define @t617 () (not @t600)) % 0.39/0.89 (define @t618 () (or @t617 @t616)) % 0.39/0.89 (define @t619 () (not (forall @t9 @t618))) % 0.39/0.89 (define @t620 () (or @t619 @t615)) % 0.39/0.89 (define @t621 () (@list @t1 @t611 @t613)) % 0.39/0.89 (define @t622 () (forall @t621 @t620)) % 0.39/0.89 (define @t623 () (@var "BOUND_VARIABLE_9507" $$unsorted)) % 0.39/0.89 (define @t624 () (_ @t365 @t19)) % 0.39/0.89 (define @t625 () (not @t624)) % 0.39/0.89 (define @t626 () (not (_ @t365 @t623))) % 0.39/0.89 (define @t627 () (@var "BOUND_VARIABLE_9498" $$unsorted)) % 0.39/0.89 (define @t628 () (_ @t143 @t19)) % 0.39/0.89 (define @t629 () (not @t628)) % 0.39/0.89 (define @t630 () (not (_ @t143 @t627))) % 0.39/0.89 (define @t631 () (tptp.descr @t143)) % 0.39/0.89 (define @t632 () (= @t631 (tptp.descr @t365))) % 0.39/0.89 (define @t633 () (= @t628 @t624)) % 0.39/0.89 (define @t634 () (forall @t70 @t633)) % 0.39/0.89 (define @t635 () (not @t634)) % 0.39/0.89 (define @t636 () (@list @t143 @t365 @t627 @t623)) % 0.39/0.89 (define @t637 () (forall @t636 (or @t635 @t632 @t630 (not (forall @t70 (or @t629 (= @t19 @t627)))) @t626 (not (forall @t70 (or @t625 (= @t19 @t623))))))) % 0.39/0.89 (define @t638 () (@var "BOUND_VARIABLE_9339" $$unsorted)) % 0.39/0.89 (define @t639 () (@var "BOUND_VARIABLE_9337" $$unsorted)) % 0.39/0.89 (define @t640 () (= @t639 @t638)) % 0.39/0.89 (define @t641 () (not (_ @t143 @t638))) % 0.39/0.89 (define @t642 () (not (_ @t143 @t639))) % 0.39/0.89 (define @t643 () (@var "BOUND_VARIABLE_9328" $$unsorted)) % 0.39/0.89 (define @t644 () (not (_ @t143 @t643))) % 0.39/0.89 (define @t645 () (@list @t143 @t643 @t639 @t638)) % 0.39/0.89 (define @t646 () (forall @t645 (or @t644 (not (forall @t70 (or @t629 (= @t19 @t643)))) @t642 @t641 @t640))) % 0.39/0.89 (define @t647 () (not (forall @t70 (or @t625 @t129)))) % 0.39/0.89 (define @t648 () (_ @t365 @t4)) % 0.39/0.89 (define @t649 () (forall @t9 (or (not @t648) @t647))) % 0.39/0.89 (define @t650 () (not @t649)) % 0.39/0.89 (define @t651 () (forall @t70 (or @t629 @t129))) % 0.39/0.89 (define @t652 () (not @t651)) % 0.39/0.89 (define @t653 () (_ @t143 @t4)) % 0.39/0.89 (define @t654 () (not @t653)) % 0.39/0.89 (define @t655 () (forall @t9 (or @t654 @t652))) % 0.39/0.89 (define @t656 () (not @t655)) % 0.39/0.89 (define @t657 () (= @t656 @t650)) % 0.39/0.89 (define @t658 () (forall @t375 (or @t635 @t657))) % 0.39/0.89 (define @t659 () (@var "BOUND_VARIABLE_9235" $$unsorted)) % 0.39/0.89 (define @t660 () (@list @t143 @t659)) % 0.39/0.89 (define @t661 () (forall @t660 (or (not (forall @t70 (= @t628 (= @t19 @t659)))) @t656))) % 0.39/0.89 (define @t662 () (forall @t135 (or @t654 @t629 @t129))) % 0.39/0.89 (define @t663 () (not @t662)) % 0.39/0.89 (define @t664 () (@var "BOUND_VARIABLE_9219" $$unsorted)) % 0.39/0.89 (define @t665 () (not (_ @t143 @t664))) % 0.39/0.89 (define @t666 () (or @t665 @t663 @t656)) % 0.39/0.89 (define @t667 () (forall (@list @t143 @t664) @t666)) % 0.39/0.89 (define @t668 () (=> @t667 (=> @t661 (=> @t646 (=> @t658 (=> @t646 (=> @t637 (=> @t622 (=> @t610 (=> @t599 (=> @t599 (=> @t610 (=> @t607 (=> @t605 (=> @t604 (=> @t603 (=> @t599 @t597))))))))))))))))) % 0.39/0.89 (define @t669 () (tptp.prop2set true)) % 0.39/0.89 (define @t670 () (tptp.set2prop @t669)) % 0.39/0.89 (define @t671 () (=> @t670 @t668)) % 0.39/0.89 (define @t672 () (tptp.in tptp.emptyset @t669)) % 0.39/0.89 (define @t673 () (=> @t672 @t671)) % 0.39/0.89 (define @t674 () (tptp.in @t4 tptp.emptyset)) % 0.39/0.89 (define @t675 () (not @t674)) % 0.39/0.89 (define @t676 () (forall @t312 (or @t675 @t653))) % 0.39/0.89 (define @t677 () (=> @t676 @t673)) % 0.39/0.89 (define @t678 () (@var "BOUND_VARIABLE_9128" $$unsorted)) % 0.39/0.89 (define @t679 () (not (_ @t143 @t678))) % 0.39/0.89 (define @t680 () (not (tptp.in @t678 @t2))) % 0.39/0.89 (define @t681 () (tptp.dsetconstr @t2 @t143)) % 0.39/0.89 (define @t682 () (not (= tptp.emptyset @t681))) % 0.39/0.89 (define @t683 () (or @t682 @t680 @t679)) % 0.39/0.89 (define @t684 () (@list @t2 @t143 @t678)) % 0.39/0.89 (define @t685 () (forall @t684 @t683)) % 0.39/0.89 (define @t686 () (=> @t685 @t677)) % 0.39/0.89 (define @t687 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.39/0.89 (define @t688 () (tptp.setadjoin @t4 @t687)) % 0.39/0.89 (define @t689 () (tptp.in @t19 @t688)) % 0.39/0.89 (define @t690 () (forall @t135 @t689)) % 0.39/0.89 (define @t691 () (=> @t690 @t686)) % 0.39/0.89 (define @t692 () (tptp.in @t4 @t688)) % 0.39/0.89 (define @t693 () (forall @t135 @t692)) % 0.39/0.89 (define @t694 () (=> @t693 @t691)) % 0.39/0.89 (define @t695 () (= @t19 @t289)) % 0.39/0.89 (define @t696 () (= @t4 @t289)) % 0.39/0.89 (define @t697 () (tptp.in @t289 @t688)) % 0.39/0.89 (define @t698 () (forall @t295 (or (not @t697) @t696 @t695))) % 0.39/0.89 (define @t699 () (=> @t698 @t694)) % 0.39/0.89 (define @t700 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.39/0.89 (define @t701 () (tptp.in @t19 @t700)) % 0.39/0.89 (define @t702 () (tptp.in @t4 @t687)) % 0.39/0.89 (define @t703 () (not @t702)) % 0.39/0.89 (define @t704 () (forall @t135 (or @t703 @t701))) % 0.39/0.89 (define @t705 () (=> @t704 @t699)) % 0.39/0.89 (define @t706 () (tptp.in @t19 @t687)) % 0.39/0.89 (define @t707 () (forall @t70 @t706)) % 0.39/0.89 (define @t708 () (=> @t707 @t705)) % 0.39/0.89 (define @t709 () (forall @t135 (or @t129 (not @t701)))) % 0.39/0.89 (define @t710 () (=> @t709 @t708)) % 0.39/0.89 (define @t711 () (forall @t135 (or @t703 @t129))) % 0.39/0.89 (define @t712 () (=> @t711 @t710)) % 0.39/0.89 (define @t713 () (forall @t9 @t602)) % 0.39/0.89 (define @t714 () (not @t713)) % 0.39/0.89 (define @t715 () (forall @t64 (or @t196 @t714))) % 0.39/0.89 (define @t716 () (=> @t715 @t712)) % 0.39/0.89 (define @t717 () (@var "BOUND_VARIABLE_9012" $$unsorted)) % 0.39/0.89 (define @t718 () (not (_ @t143 @t717))) % 0.39/0.89 (define @t719 () (forall @t70 (= @t129 @t628))) % 0.39/0.89 (define @t720 () (forall @t9 (not @t719))) % 0.39/0.89 (define @t721 () (not @t720)) % 0.39/0.89 (define @t722 () (@list @t143 @t717)) % 0.39/0.89 (define @t723 () (forall @t722 (or @t721 @t718 (not (forall @t70 (or @t629 (= @t19 @t717))))))) % 0.39/0.89 (define @t724 () (=> @t723 @t716)) % 0.39/0.89 (define @t725 () (tptp.setunion @t2)) % 0.39/0.89 (define @t726 () (tptp.powerset @t725)) % 0.39/0.89 (define @t727 () (tptp.in @t4 @t726)) % 0.39/0.89 (define @t728 () (forall @t46 (or @t602 @t727))) % 0.39/0.89 (define @t729 () (=> @t728 @t724)) % 0.39/0.89 (define @t730 () (tptp.in @t1 @t2)) % 0.39/0.89 (define @t731 () (not @t730)) % 0.39/0.89 (define @t732 () (forall @t41 (or @t617 @t731))) % 0.39/0.89 (define @t733 () (not @t732)) % 0.39/0.89 (define @t734 () (tptp.in @t4 @t725)) % 0.39/0.89 (define @t735 () (forall @t46 (or (not @t734) @t733))) % 0.39/0.89 (define @t736 () (=> @t735 @t729)) % 0.39/0.89 (define @t737 () (forall @t249 (or @t617 @t731 @t734))) % 0.39/0.89 (define @t738 () (=> @t737 @t736)) % 0.39/0.89 (define @t739 () (forall @t245 (or @t583 @t617 @t601))) % 0.39/0.89 (define @t740 () (=> @t739 @t738)) % 0.39/0.89 (define @t741 () (tptp.in tptp.emptyset @t578)) % 0.39/0.89 (define @t742 () (forall @t64 @t741)) % 0.39/0.89 (define @t743 () (=> @t742 @t740)) % 0.39/0.89 (define @t744 () (=> @t742 @t743)) % 0.39/0.89 (define @t745 () (forall @t9 (or @t617 @t601))) % 0.39/0.89 (define @t746 () (not @t745)) % 0.39/0.89 (define @t747 () (forall @t12 (or @t746 @t582))) % 0.39/0.89 (define @t748 () (=> @t747 @t744)) % 0.39/0.89 (define @t749 () (@var "BOUND_VARIABLE_21320" $$unsorted)) % 0.39/0.89 (define @t750 () (lambda (@list @t749) true)) % 0.39/0.89 (define @t751 () (tptp.dsetconstr @t2 @t750)) % 0.39/0.89 (define @t752 () (forall @t64 (= @t2 @t751))) % 0.39/0.89 (define @t753 () (=> @t752 @t748)) % 0.39/0.89 (define @t754 () (tptp.in @t19 @t2)) % 0.39/0.89 (define @t755 () (tptp.in @t19 @t592)) % 0.39/0.89 (define @t756 () (forall @t28 (or (not @t755) @t129 @t754))) % 0.39/0.89 (define @t757 () (=> @t756 @t753)) % 0.39/0.89 (define @t758 () (=> @t756 @t757)) % 0.39/0.89 (define @t759 () (not @t754)) % 0.39/0.89 (define @t760 () (forall @t28 (or @t759 @t755))) % 0.39/0.89 (define @t761 () (=> @t760 @t758)) % 0.39/0.89 (define @t762 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.39/0.89 (define @t763 () (tptp.in tptp.emptyset @t762)) % 0.39/0.89 (define @t764 () (=> @t221 @t761)) % 0.39/0.89 (define @t765 () (tptp.setadjoin @t4 @t19)) % 0.39/0.89 (define @t766 () (tptp.in @t4 @t765)) % 0.39/0.89 (define @t767 () (forall @t135 @t766)) % 0.39/0.89 (define @t768 () (=> @t767 @t764)) % 0.39/0.89 (define @t769 () (@var "BOUND_VARIABLE_8853" $$unsorted)) % 0.39/0.89 (define @t770 () (not (tptp.in @t769 tptp.emptyset))) % 0.39/0.89 (define @t771 () (@list @t769)) % 0.39/0.89 (define @t772 () (forall @t771 @t770)) % 0.39/0.89 (define @t773 () (=> @t772 @t768)) % 0.39/0.89 (define @t774 () (forall @t159 (or @t602 @t654 @t682))) % 0.39/0.89 (define @t775 () (=> @t774 @t773)) % 0.39/0.89 (define @t776 () (=> @t715 @t775)) % 0.39/0.89 (define @t777 () (tptp.in @t4 @t681)) % 0.39/0.89 (define @t778 () (forall @t159 (or @t602 (= @t653 @t777)))) % 0.39/0.89 (define @t779 () (=> @t778 @t776)) % 0.39/0.89 (define @t780 () (forall @t64 (or @t714 @t196))) % 0.39/0.89 (define @t781 () (=> @t780 @t779)) % 0.39/0.89 (define @t782 () (=> @t780 @t781)) % 0.39/0.89 (define @t783 () (or @t609 @t746 @t3)) % 0.39/0.89 (define @t784 () (forall @t12 @t783)) % 0.39/0.89 (define @t785 () (=> @t784 @t782)) % 0.39/0.89 (define @t786 () (@var "BOUND_VARIABLE_8750" $$unsorted)) % 0.39/0.89 (define @t787 () (not (_ @t143 @t786))) % 0.39/0.89 (define @t788 () (forall @t9 @t654)) % 0.39/0.89 (define @t789 () (not @t788)) % 0.39/0.89 (define @t790 () (@list @t143 @t786)) % 0.39/0.89 (define @t791 () (forall @t790 (or @t789 @t787 (not (forall @t70 (or @t629 (= @t19 @t786))))))) % 0.39/0.89 (define @t792 () (=> @t791 @t785)) % 0.39/0.89 (define @t793 () (forall @t9 @t675)) % 0.39/0.89 (define @t794 () (=> @t793 @t792)) % 0.39/0.89 (define @t795 () (=> @t793 @t794)) % 0.39/0.89 (define @t796 () (=> @t793 @t795)) % 0.39/0.89 (define @t797 () (not (tptp.in @t4 (tptp.prop2set false)))) % 0.39/0.89 (define @t798 () (forall @t9 @t797)) % 0.39/0.89 (define @t799 () (=> @t798 @t796)) % 0.39/0.89 (define @t800 () (not @t777)) % 0.39/0.89 (define @t801 () (forall @t159 (or @t800 @t653))) % 0.39/0.89 (define @t802 () (=> @t801 @t799)) % 0.39/0.89 (define @t803 () (forall @t159 (or @t800 @t601))) % 0.39/0.89 (define @t804 () (=> @t803 @t802)) % 0.39/0.89 (define @t805 () (forall @t159 (or @t602 @t654 @t777))) % 0.39/0.89 (define @t806 () (=> @t805 @t804)) % 0.39/0.89 (define @t807 () (@var "BOUND_VARIABLE_8649" $$unsorted)) % 0.39/0.89 (define @t808 () (not (_ @t143 @t807))) % 0.39/0.89 (define @t809 () (_ @t143 @t631)) % 0.39/0.89 (define @t810 () (@list @t143 @t807)) % 0.39/0.89 (define @t811 () (forall @t810 (or @t809 @t808 (not (forall @t70 (or @t629 (= @t19 @t807))))))) % 0.39/0.89 (define @t812 () (=> @t811 @t806)) % 0.39/0.89 (define @t813 () (@var "BOUND_VARIABLE_8569" $$unsorted)) % 0.39/0.89 (define @t814 () (tptp.in @t813 @t95)) % 0.39/0.89 (define @t815 () (not (tptp.in @t813 @t93))) % 0.39/0.89 (define @t816 () (tptp.in @t4 @t93)) % 0.39/0.89 (define @t817 () (tptp.in @t93 @t1)) % 0.39/0.89 (define @t818 () (not @t817)) % 0.39/0.89 (define @t819 () (or @t818 @t816 @t815 @t814)) % 0.39/0.89 (define @t820 () (@list @t93 @t813)) % 0.39/0.89 (define @t821 () (forall @t820 @t819)) % 0.39/0.89 (define @t822 () (not @t821)) % 0.39/0.89 (define @t823 () (tptp.in @t19 @t104)) % 0.39/0.89 (define @t824 () (tptp.in @t19 @t95)) % 0.39/0.89 (define @t825 () (forall @t70 (or (not @t824) (not @t823)))) % 0.39/0.89 (define @t826 () (not @t825)) % 0.39/0.89 (define @t827 () (tptp.in @t4 @t104)) % 0.39/0.89 (define @t828 () (not @t827)) % 0.39/0.89 (define @t829 () (tptp.in @t95 @t1)) % 0.39/0.89 (define @t830 () (not @t829)) % 0.39/0.89 (define @t831 () (not (forall @t112 (or @t830 @t828 @t826 @t822)))) % 0.39/0.89 (define @t832 () (@var "BOUND_VARIABLE_8598" $$unsorted)) % 0.39/0.89 (define @t833 () (not (tptp.in @t832 @t104))) % 0.39/0.89 (define @t834 () (forall @t9 (or @t828 @t601))) % 0.39/0.89 (define @t835 () (not @t834)) % 0.39/0.89 (define @t836 () (or @t835 @t833 @t831)) % 0.39/0.89 (define @t837 () (forall (@list @t104 @t832) @t836)) % 0.39/0.89 (define @t838 () (not @t837)) % 0.39/0.89 (define @t839 () (@var "BOUND_VARIABLE_8521" $$unsorted)) % 0.39/0.89 (define @t840 () (tptp.in @t839 @t104)) % 0.39/0.89 (define @t841 () (not (tptp.in @t839 @t95))) % 0.39/0.89 (define @t842 () (@var "BOUND_VARIABLE_8515" $$unsorted)) % 0.39/0.89 (define @t843 () (tptp.in @t842 @t95)) % 0.39/0.89 (define @t844 () (not (tptp.in @t842 @t104))) % 0.39/0.89 (define @t845 () (tptp.in @t104 @t1)) % 0.39/0.89 (define @t846 () (not @t845)) % 0.39/0.89 (define @t847 () (or @t846 @t830 @t844 @t843 @t841 @t840)) % 0.39/0.89 (define @t848 () (@list @t104 @t95 @t842 @t839)) % 0.39/0.89 (define @t849 () (forall @t848 @t847)) % 0.39/0.89 (define @t850 () (not @t849)) % 0.39/0.89 (define @t851 () (forall @t118 (or @t846 (= @t827 @t823)))) % 0.39/0.89 (define @t852 () (not @t851)) % 0.39/0.89 (define @t853 () (forall @t135 (or @t602 @t759 @t852 @t129))) % 0.39/0.89 (define @t854 () (not @t853)) % 0.39/0.89 (define @t855 () (@var "BOUND_VARIABLE_8464" $$unsorted)) % 0.39/0.89 (define @t856 () (tptp.in @t855 @t2)) % 0.39/0.89 (define @t857 () (not (tptp.in @t855 @t104))) % 0.39/0.89 (define @t858 () (or @t846 @t857 @t856)) % 0.39/0.89 (define @t859 () (@list @t104 @t855)) % 0.39/0.89 (define @t860 () (forall @t859 @t858)) % 0.39/0.89 (define @t861 () (not @t860)) % 0.39/0.89 (define @t862 () (or @t861 @t854 @t850 @t838)) % 0.39/0.89 (define @t863 () (forall @t64 (not (forall @t41 @t862)))) % 0.39/0.89 (define @t864 () (=> @t863 @t812)) % 0.39/0.89 (define @t865 () (forall @t9 (or @t617 @t602))) % 0.39/0.89 (define @t866 () (not @t865)) % 0.39/0.89 (define @t867 () (not (forall @t41 (or @t731 @t866)))) % 0.39/0.89 (define @t868 () (@var "BOUND_VARIABLE_8439" $$unsorted)) % 0.39/0.89 (define @t869 () (not (tptp.in @t868 @t2))) % 0.39/0.89 (define @t870 () (or @t869 @t867)) % 0.39/0.89 (define @t871 () (forall (@list @t2 @t868) @t870)) % 0.39/0.89 (define @t872 () (=> @t871 @t864)) % 0.39/0.89 (define @t873 () (_ @t67 @t19 @t4)) % 0.39/0.89 (define @t874 () (not (forall @t70 (or @t759 (not @t873))))) % 0.39/0.89 (define @t875 () (forall @t9 (= @t600 @t874))) % 0.39/0.89 (define @t876 () (not (forall @t41 (not @t875)))) % 0.39/0.89 (define @t877 () (@var "BOUND_VARIABLE_8329" $$unsorted)) % 0.39/0.89 (define @t878 () (= @t19 @t877)) % 0.39/0.89 (define @t879 () (_ @t67 @t4 @t19)) % 0.39/0.89 (define @t880 () (not (forall @t70 (or (not @t879) @t878)))) % 0.39/0.89 (define @t881 () (_ @t67 @t4 @t877)) % 0.39/0.89 (define @t882 () (@list @t877)) % 0.39/0.89 (define @t883 () (not (forall @t882 (or (not @t881) @t880)))) % 0.39/0.89 (define @t884 () (forall @t9 (or @t602 @t883))) % 0.39/0.89 (define @t885 () (forall @t81 (or (not @t884) @t876))) % 0.39/0.89 (define @t886 () (=> @t885 @t872)) % 0.39/0.89 (define @t887 () (@var "BOUND_VARIABLE_8310" $$unsorted)) % 0.39/0.89 (define @t888 () (tptp.in @t887 @t2)) % 0.39/0.89 (define @t889 () (not (tptp.in @t887 tptp.omega))) % 0.39/0.89 (define @t890 () (tptp.setadjoin @t4 @t4)) % 0.39/0.89 (define @t891 () (tptp.in @t890 @t2)) % 0.39/0.89 (define @t892 () (tptp.in @t4 tptp.omega)) % 0.39/0.89 (define @t893 () (not @t892)) % 0.39/0.89 (define @t894 () (forall @t9 (or @t893 @t602 @t891))) % 0.39/0.89 (define @t895 () (not @t894)) % 0.39/0.89 (define @t896 () (tptp.in tptp.emptyset @t2)) % 0.39/0.89 (define @t897 () (not @t896)) % 0.39/0.89 (define @t898 () (or @t897 @t895 @t889 @t888)) % 0.39/0.89 (define @t899 () (@list @t2 @t887)) % 0.39/0.89 (define @t900 () (forall @t899 @t898)) % 0.39/0.89 (define @t901 () (=> @t900 @t886)) % 0.39/0.89 (define @t902 () (tptp.in @t890 tptp.omega)) % 0.39/0.89 (define @t903 () (forall @t9 (or @t893 @t902))) % 0.39/0.89 (define @t904 () (=> @t903 @t901)) % 0.39/0.89 (define @t905 () (tptp.in tptp.emptyset tptp.omega)) % 0.39/0.89 (define @t906 () (=> @t50 @t904)) % 0.39/0.89 (define @t907 () (forall @t46 (= @t733 @t734))) % 0.39/0.89 (define @t908 () (=> @t907 @t906)) % 0.39/0.89 (define @t909 () (forall @t12 (= @t745 @t582))) % 0.39/0.89 (define @t910 () (=> @t909 @t908)) % 0.39/0.89 (define @t911 () (or @t129 @t754)) % 0.39/0.89 (define @t912 () (forall @t28 (= @t755 @t911))) % 0.39/0.89 (define @t913 () (=> @t912 @t910)) % 0.39/0.89 (define @t914 () (=> @t793 @t913)) % 0.39/0.89 (define @t915 () (forall @t9 (= @t601 @t600))) % 0.39/0.89 (define @t916 () (forall @t12 (or (not @t915) @t3))) % 0.39/0.89 (define @t917 () (=> @t916 @t914)) % 0.39/0.89 (define @t918 () (=> @t599 (=> true @t597))) % 0.39/0.89 (define @t919 () (=> @t603 @t918)) % 0.39/0.89 (define @t920 () (=> @t604 @t919)) % 0.39/0.89 (define @t921 () (=> @t605 @t920)) % 0.39/0.89 (define @t922 () (=> @t607 @t921)) % 0.39/0.89 (define @t923 () (=> @t610 @t922)) % 0.39/0.89 (define @t924 () (=> @t599 @t923)) % 0.39/0.89 (define @t925 () (=> @t599 @t924)) % 0.39/0.89 (define @t926 () (=> @t610 @t925)) % 0.39/0.89 (define @t927 () (=> @t622 @t926)) % 0.39/0.89 (define @t928 () (=> @t637 @t927)) % 0.39/0.89 (define @t929 () (=> @t646 @t928)) % 0.39/0.89 (define @t930 () (=> true (=> true @t929))) % 0.39/0.89 (define @t931 () (=> true @t930)) % 0.39/0.89 (define @t932 () (=> true @t931)) % 0.39/0.89 (define @t933 () (=> true @t932)) % 0.39/0.89 (define @t934 () (=> @t658 @t933)) % 0.39/0.89 (define @t935 () (=> @t646 @t934)) % 0.39/0.89 (define @t936 () (=> true (=> true @t935))) % 0.39/0.89 (define @t937 () (=> @t661 @t936)) % 0.39/0.89 (define @t938 () (=> @t667 @t937)) % 0.39/0.89 (define @t939 () (=> true (=> true @t938))) % 0.39/0.89 (define @t940 () (=> true @t939)) % 0.39/0.89 (define @t941 () (=> @t670 @t940)) % 0.39/0.89 (define @t942 () (=> @t672 @t941)) % 0.39/0.89 (define @t943 () (=> true (=> true @t942))) % 0.39/0.89 (define @t944 () (=> true @t943)) % 0.39/0.89 (define @t945 () (=> true @t944)) % 0.39/0.89 (define @t946 () (=> @t676 @t945)) % 0.39/0.89 (define @t947 () (=> @t685 @t946)) % 0.39/0.89 (define @t948 () (=> @t690 @t947)) % 0.39/0.89 (define @t949 () (=> @t693 @t948)) % 0.39/0.89 (define @t950 () (=> @t698 @t949)) % 0.39/0.89 (define @t951 () (=> @t704 @t950)) % 0.39/0.89 (define @t952 () (=> @t707 @t951)) % 0.39/0.89 (define @t953 () (=> @t709 @t952)) % 0.39/0.89 (define @t954 () (=> @t711 @t953)) % 0.39/0.89 (define @t955 () (=> @t715 @t954)) % 0.39/0.89 (define @t956 () (=> @t723 @t955)) % 0.39/0.89 (define @t957 () (=> @t728 @t956)) % 0.39/0.89 (define @t958 () (=> @t735 @t957)) % 0.39/0.89 (define @t959 () (=> @t737 @t958)) % 0.39/0.89 (define @t960 () (=> @t739 @t959)) % 0.39/0.89 (define @t961 () (=> @t742 @t960)) % 0.39/0.89 (define @t962 () (=> @t742 @t961)) % 0.39/0.89 (define @t963 () (=> @t747 @t962)) % 0.39/0.89 (define @t964 () (=> @t752 @t963)) % 0.39/0.89 (define @t965 () (=> @t756 @t964)) % 0.39/0.89 (define @t966 () (=> @t756 @t965)) % 0.39/0.89 (define @t967 () (=> @t760 @t966)) % 0.39/0.89 (define @t968 () (=> @t221 @t967)) % 0.39/0.89 (define @t969 () (=> @t767 @t968)) % 0.39/0.89 (define @t970 () (=> @t772 @t969)) % 0.39/0.89 (define @t971 () (=> @t774 @t970)) % 0.39/0.89 (define @t972 () (=> @t715 @t971)) % 0.39/0.89 (define @t973 () (=> @t778 @t972)) % 0.39/0.89 (define @t974 () (=> @t780 @t973)) % 0.39/0.89 (define @t975 () (=> @t780 @t974)) % 0.39/0.89 (define @t976 () (=> @t784 @t975)) % 0.39/0.89 (define @t977 () (=> @t791 @t976)) % 0.39/0.89 (define @t978 () (=> @t793 @t977)) % 0.39/0.89 (define @t979 () (=> @t793 @t978)) % 0.39/0.89 (define @t980 () (=> @t793 @t979)) % 0.39/0.89 (define @t981 () (=> @t798 @t980)) % 0.39/0.89 (define @t982 () (=> @t801 (=> true @t981))) % 0.39/0.89 (define @t983 () (=> @t803 @t982)) % 0.39/0.89 (define @t984 () (=> @t805 @t983)) % 0.39/0.89 (define @t985 () (=> @t811 @t984)) % 0.39/0.89 (define @t986 () (=> @t863 @t985)) % 0.39/0.89 (define @t987 () (=> @t871 @t986)) % 0.39/0.89 (define @t988 () (=> @t885 @t987)) % 0.39/0.89 (define @t989 () (=> @t900 @t988)) % 0.39/0.89 (define @t990 () (=> @t903 @t989)) % 0.39/0.89 (define @t991 () (=> @t50 @t990)) % 0.39/0.89 (define @t992 () (=> @t907 @t991)) % 0.39/0.89 (define @t993 () (=> @t909 @t992)) % 0.39/0.89 (define @t994 () (=> @t912 @t993)) % 0.39/0.89 (define @t995 () (=> @t793 @t994)) % 0.39/0.89 (define @t996 () (=> @t916 @t995)) % 0.39/0.89 (define @t997 () (not @t35)) % 0.39/0.89 (define @t998 () (or @t997 @t424)) % 0.39/0.89 (define @t999 () (=> tptp.powersetE1 @t580)) % 0.39/0.89 (define @t1000 () (not @t424)) % 0.39/0.89 (define @t1001 () (or @t1000 @t35)) % 0.39/0.89 (define @t1002 () (=> tptp.powersetI1 @t999)) % 0.39/0.89 (define @t1003 () (not @t472)) % 0.39/0.89 (define @t1004 () (or @t1003 @t196)) % 0.39/0.89 (define @t1005 () (=> tptp.subsetemptysetimpeq @t1002)) % 0.39/0.89 (define @t1006 () (or @t438 @t1000 @t3)) % 0.39/0.89 (define @t1007 () (=> tptp.setextsub @t1005)) % 0.39/0.89 (define @t1008 () (or @t438 @t466)) % 0.39/0.89 (define @t1009 () (=> tptp.subset2powerset @t1007)) % 0.39/0.89 (define @t1010 () (or @t438 @t462)) % 0.39/0.89 (define @t1011 () (=> tptp.setadjoinSub2 @t1009)) % 0.39/0.89 (define @t1012 () (=> tptp.setadjoinSub @t1011)) % 0.39/0.89 (define @t1013 () (not @t452)) % 0.39/0.89 (define @t1014 () (or @t438 @t1013 @t451)) % 0.39/0.89 (define @t1015 () (=> tptp.subsetTrans @t1012)) % 0.39/0.89 (define @t1016 () (=> tptp.subsetRefl @t1015)) % 0.39/0.89 (define @t1017 () (@list @t1 @t4)) % 0.39/0.89 (define @t1018 () (or @t617 @t600)) % 0.39/0.89 (define @t1019 () (not true)) % 0.39/0.89 (define @t1020 () (not (= @t1 @t1))) % 0.39/0.89 (define @t1021 () (or @t617 @t600 @t1020)) % 0.39/0.89 (define @t1022 () (or @t442 @t602 @t600 @t442)) % 0.39/0.89 (define @t1023 () (or @t602 @t600 @t442)) % 0.39/0.89 (define @t1024 () (forall @t64 @t1023)) % 0.39/0.89 (define @t1025 () (forall @t1017 @t1024)) % 0.39/0.89 (define @t1026 () (forall (@list @t1 @t4 @t2) @t1023)) % 0.39/0.89 (define @t1027 () (or @t197 @t6 @t442)) % 0.39/0.89 (define @t1028 () (not @t434)) % 0.39/0.89 (define @t1029 () (=> tptp.notequalI2 @t1016)) % 0.39/0.89 (define @t1030 () (or @t598 @t1020)) % 0.39/0.89 (define @t1031 () (or @t442 @t586 @t442)) % 0.39/0.89 (define @t1032 () (or @t586 @t442)) % 0.39/0.89 (define @t1033 () (forall @t64 @t1032)) % 0.39/0.89 (define @t1034 () (forall @t41 @t1033)) % 0.39/0.89 (define @t1035 () (@list @t1 @t2)) % 0.39/0.89 (define @t1036 () (forall @t1035 @t1032)) % 0.39/0.89 (define @t1037 () (or @t419 @t442)) % 0.39/0.89 (define @t1038 () (=> tptp.notequalI1 @t1029)) % 0.39/0.89 (define @t1039 () (or @t197 @t6 @t438)) % 0.39/0.89 (define @t1040 () (=> tptp.notsubsetI @t1038)) % 0.39/0.89 (define @t1041 () (or @t438 @t6 @t197)) % 0.39/0.89 (define @t1042 () (=> tptp.subsetE2 @t1040)) % 0.39/0.89 (define @t1043 () (or @t438 @t197 @t6)) % 0.39/0.89 (define @t1044 () (or @t197 @t6)) % 0.39/0.89 (define @t1045 () (=> tptp.subsetE @t1042)) % 0.39/0.89 (define @t1046 () (=> tptp.emptysetsubset @t1045)) % 0.39/0.89 (define @t1047 () (or @t609 @t419)) % 0.39/0.89 (define @t1048 () (=> tptp.subsetI2 @t1046)) % 0.39/0.89 (define @t1049 () (or @t1020 @t598)) % 0.39/0.89 (define @t1050 () (or @t442 @t442 @t586)) % 0.39/0.89 (define @t1051 () (or @t442 @t586)) % 0.39/0.89 (define @t1052 () (forall @t64 @t1051)) % 0.39/0.89 (define @t1053 () (forall @t41 @t1052)) % 0.39/0.89 (define @t1054 () (forall @t1035 @t1051)) % 0.39/0.89 (define @t1055 () (or @t442 @t419)) % 0.39/0.89 (define @t1056 () (=> tptp.eqimpsubset1 @t1048)) % 0.39/0.89 (define @t1057 () (or @t442 @t442 @t581)) % 0.39/0.89 (define @t1058 () (or @t442 @t581)) % 0.39/0.89 (define @t1059 () (forall @t64 @t1058)) % 0.39/0.89 (define @t1060 () (forall @t41 @t1059)) % 0.39/0.89 (define @t1061 () (forall @t1035 @t1058)) % 0.39/0.89 (define @t1062 () (or @t442 @t424)) % 0.39/0.89 (define @t1063 () (=> tptp.eqimpsubset2 @t1056)) % 0.39/0.89 (define @t1064 () (=> tptp.subsetI1 @t1063)) % 0.39/0.89 (define @t1065 () (or @t617 @t617 @t616)) % 0.39/0.89 (define @t1066 () (forall @t9 @t1065)) % 0.39/0.89 (define @t1067 () (not @t1066)) % 0.39/0.89 (define @t1068 () (or @t1020 @t1067 (= @t612 @t614))) % 0.39/0.89 (define @t1069 () (= (tptp.dsetconstr @t2 @t611) @t614)) % 0.39/0.89 (define @t1070 () (not (forall @t9 (or @t602 @t617 @t616)))) % 0.39/0.89 (define @t1071 () (or @t442 @t442 @t1070 @t1069)) % 0.39/0.89 (define @t1072 () (or @t442 @t1070 @t1069)) % 0.39/0.89 (define @t1073 () (forall @t64 @t1072)) % 0.39/0.89 (define @t1074 () (forall @t621 @t1073)) % 0.39/0.89 (define @t1075 () (forall (@list @t1 @t611 @t613 @t2) @t1072)) % 0.39/0.89 (define @t1076 () (@list @t2 @t1 @t611 @t613)) % 0.39/0.89 (define @t1077 () (or @t1070 @t1069)) % 0.39/0.89 (define @t1078 () (or @t442 @t1077)) % 0.39/0.89 (define @t1079 () (forall @t1076 @t1078)) % 0.39/0.89 (define @t1080 () (@list @t611 @t613)) % 0.39/0.89 (define @t1081 () (forall @t1080 @t1078)) % 0.39/0.89 (define @t1082 () (forall @t1080 @t1077)) % 0.39/0.89 (define @t1083 () (or @t442 @t1082)) % 0.39/0.89 (define @t1084 () (= @t653 @t648)) % 0.39/0.89 (define @t1085 () (forall @t9 (or @t602 @t617 @t1084))) % 0.39/0.89 (define @t1086 () (not @t1085)) % 0.39/0.89 (define @t1087 () (forall @t375 (or @t1086 (= @t681 (tptp.dsetconstr @t1 @t365))))) % 0.39/0.89 (define @t1088 () (lambda @t9 @t648)) % 0.39/0.89 (define @t1089 () (tptp.dsetconstr @t1 @t1088)) % 0.39/0.89 (define @t1090 () (lambda @t9 @t653)) % 0.39/0.89 (define @t1091 () (tptp.dsetconstr @t2 @t1090)) % 0.39/0.89 (define @t1092 () (= @t1091 @t1089)) % 0.39/0.89 (define @t1093 () (or @t1086 @t1092)) % 0.39/0.89 (define @t1094 () (or @t1086 @t409)) % 0.39/0.89 (define @t1095 () (or @t197 @t617 @t1084)) % 0.39/0.89 (define @t1096 () (or @t617 @t1084)) % 0.39/0.89 (define @t1097 () (not (= @t4 @t4))) % 0.39/0.89 (define @t1098 () (or @t617 @t1097 @t1084)) % 0.39/0.89 (define @t1099 () (= @t653 @t624)) % 0.39/0.89 (define @t1100 () (tptp.in @t19 @t1)) % 0.39/0.89 (define @t1101 () (not @t1100)) % 0.39/0.89 (define @t1102 () (or @t282 @t1101 @t282 @t1099)) % 0.39/0.89 (define @t1103 () (or @t1101 @t282 @t1099)) % 0.39/0.89 (define @t1104 () (not @t351)) % 0.39/0.89 (define @t1105 () (or @t1104 @t282 @t371)) % 0.39/0.89 (define @t1106 () (or @t282 @t371)) % 0.39/0.89 (define @t1107 () (=> tptp.dsetconstr__Cong @t1064)) % 0.39/0.89 (define @t1108 () (or @t625 (= @t623 @t19))) % 0.39/0.89 (define @t1109 () (forall @t70 @t1108)) % 0.39/0.89 (define @t1110 () (not @t1109)) % 0.39/0.89 (define @t1111 () (or @t629 (= @t627 @t19))) % 0.39/0.89 (define @t1112 () (forall @t70 @t1111)) % 0.39/0.89 (define @t1113 () (not @t1112)) % 0.39/0.89 (define @t1114 () (or @t635 @t632 @t630 @t1113 @t626 @t1110)) % 0.39/0.89 (define @t1115 () (or @t626 @t1110)) % 0.39/0.89 (define @t1116 () (or @t630 @t1113)) % 0.39/0.89 (define @t1117 () (or @t635 @t1116 @t1115 @t632)) % 0.39/0.89 (define @t1118 () (forall @t636 @t1117)) % 0.39/0.89 (define @t1119 () (forall (@list @t627 @t623) @t1117)) % 0.39/0.89 (define @t1120 () (forall (@list @t623) @t1115)) % 0.39/0.89 (define @t1121 () (@list @t4)) % 0.39/0.89 (define @t1122 () (forall (@list @t627) @t1116)) % 0.39/0.89 (define @t1123 () (or @t635 @t1122 @t1120 @t632)) % 0.39/0.89 (define @t1124 () (tptp.descr @t1088)) % 0.39/0.89 (define @t1125 () (tptp.descr @t1090)) % 0.39/0.89 (define @t1126 () (= @t1125 @t1124)) % 0.39/0.89 (define @t1127 () (or @t635 @t655 @t649 @t1126)) % 0.39/0.89 (define @t1128 () (or @t635 @t655 @t649 @t401)) % 0.39/0.89 (define @t1129 () (or @t655 @t649 @t401)) % 0.39/0.89 (define @t1130 () (=> @t650 @t401)) % 0.39/0.89 (define @t1131 () (not @t656)) % 0.39/0.89 (define @t1132 () (=> @t656 @t1130)) % 0.39/0.89 (define @t1133 () (not @t366)) % 0.39/0.89 (define @t1134 () (or @t1133 @t647)) % 0.39/0.89 (define @t1135 () (not @t370)) % 0.39/0.89 (define @t1136 () (or @t1135 @t129)) % 0.39/0.89 (define @t1137 () (_ @t367 @t19)) % 0.39/0.89 (define @t1138 () (not @t1137)) % 0.39/0.89 (define @t1139 () (or @t1138 @t129)) % 0.39/0.89 (define @t1140 () (forall @t70 @t1139)) % 0.39/0.89 (define @t1141 () (not @t1140)) % 0.39/0.89 (define @t1142 () (_ @t367 @t4)) % 0.39/0.89 (define @t1143 () (not @t1142)) % 0.39/0.89 (define @t1144 () (or @t1143 @t1141)) % 0.39/0.89 (define @t1145 () (forall @t9 @t1144)) % 0.39/0.89 (define @t1146 () (not @t1145)) % 0.39/0.89 (define @t1147 () (lambda @t150 @t656)) % 0.39/0.89 (define @t1148 () (_ @t1147 @t367)) % 0.39/0.89 (define @t1149 () (=> @t1148 @t401)) % 0.39/0.89 (define @t1150 () (or @t315 @t652)) % 0.39/0.89 (define @t1151 () (not @t153)) % 0.39/0.89 (define @t1152 () (or @t1151 @t129)) % 0.39/0.89 (define @t1153 () (_ @t145 @t19)) % 0.39/0.89 (define @t1154 () (not @t1153)) % 0.39/0.89 (define @t1155 () (or @t1154 @t129)) % 0.39/0.89 (define @t1156 () (forall @t70 @t1155)) % 0.39/0.89 (define @t1157 () (not @t1156)) % 0.39/0.89 (define @t1158 () (_ @t145 @t4)) % 0.39/0.89 (define @t1159 () (not @t1158)) % 0.39/0.89 (define @t1160 () (or @t1159 @t1157)) % 0.39/0.89 (define @t1161 () (forall @t9 @t1160)) % 0.39/0.89 (define @t1162 () (not @t1161)) % 0.39/0.89 (define @t1163 () (_ @t1147 @t145)) % 0.39/0.89 (define @t1164 () (=> @t1163 @t1149)) % 0.39/0.89 (define @t1165 () (not (= @t19 @t19))) % 0.39/0.89 (define @t1166 () (or @t1165 @t633)) % 0.39/0.89 (define @t1167 () (or @t282 @t282 @t1099)) % 0.39/0.89 (define @t1168 () (or @t282 @t1099)) % 0.39/0.89 (define @t1169 () (forall @t9 @t1168)) % 0.39/0.89 (define @t1170 () (forall @t70 @t1169)) % 0.39/0.89 (define @t1171 () (@list @t19 @t4)) % 0.39/0.89 (define @t1172 () (forall @t1171 @t1168)) % 0.39/0.89 (define @t1173 () (=> @t373 @t1164)) % 0.39/0.89 (define @t1174 () (forall @t375 @t1173)) % 0.39/0.89 (define @t1175 () (and @t144 @t651)) % 0.39/0.89 (define @t1176 () (forall @t9 (not @t1175))) % 0.39/0.89 (define @t1177 () (not @t1176)) % 0.39/0.89 (define @t1178 () (=> tptp.descr__Cong @t1107)) % 0.39/0.89 (define @t1179 () (or @t629 (= @t643 @t19))) % 0.39/0.89 (define @t1180 () (forall @t70 @t1179)) % 0.39/0.89 (define @t1181 () (not @t1180)) % 0.39/0.89 (define @t1182 () (or @t644 @t1181 @t642 @t641 @t640)) % 0.39/0.89 (define @t1183 () (or @t642 @t641 @t640)) % 0.39/0.89 (define @t1184 () (or @t644 @t1181)) % 0.39/0.89 (define @t1185 () (or @t1184 @t1183)) % 0.39/0.89 (define @t1186 () (forall @t645 @t1185)) % 0.39/0.89 (define @t1187 () (forall (@list @t643 @t639 @t638) @t1185)) % 0.39/0.89 (define @t1188 () (forall (@list @t639 @t638) @t1183)) % 0.39/0.89 (define @t1189 () (forall (@list @t643) @t1184)) % 0.39/0.89 (define @t1190 () (or @t1189 @t1188)) % 0.39/0.89 (define @t1191 () (or @t315 @t1151 @t129)) % 0.39/0.89 (define @t1192 () (=> @t1163 @t343)) % 0.39/0.89 (define @t1193 () (forall @t150 @t1192)) % 0.39/0.89 (define @t1194 () (=> tptp.exuEu @t1178)) % 0.39/0.89 (define @t1195 () (=> tptp.omega__Cong @t1194)) % 0.39/0.89 (define @t1196 () (tptp.setunion @t1)) % 0.39/0.89 (define @t1197 () (or @t1020 (= @t1196 @t1196))) % 0.39/0.89 (define @t1198 () (= @t725 @t1196)) % 0.39/0.89 (define @t1199 () (or @t442 @t442 @t1198)) % 0.39/0.89 (define @t1200 () (or @t442 @t1198)) % 0.39/0.89 (define @t1201 () (forall @t64 @t1200)) % 0.39/0.89 (define @t1202 () (forall @t41 @t1201)) % 0.39/0.89 (define @t1203 () (forall @t1035 @t1200)) % 0.39/0.89 (define @t1204 () (or @t442 @t395)) % 0.39/0.89 (define @t1205 () (=> tptp.setunion__Cong @t1195)) % 0.39/0.89 (define @t1206 () (or @t1020 (= @t588 @t588))) % 0.39/0.89 (define @t1207 () (= @t578 @t588)) % 0.39/0.89 (define @t1208 () (or @t442 @t442 @t1207)) % 0.39/0.89 (define @t1209 () (or @t442 @t1207)) % 0.39/0.89 (define @t1210 () (forall @t64 @t1209)) % 0.39/0.89 (define @t1211 () (forall @t41 @t1210)) % 0.39/0.89 (define @t1212 () (forall @t1035 @t1209)) % 0.39/0.89 (define @t1213 () (or @t442 @t391)) % 0.39/0.89 (define @t1214 () (=> tptp.powerset__Cong @t1205)) % 0.39/0.89 (define @t1215 () (@var "BOUND_VARIABLE_9432" $$unsorted)) % 0.39/0.89 (define @t1216 () (@list @t19 @t1215)) % 0.39/0.89 (define @t1217 () (tptp.setadjoin @t19 @t1215)) % 0.39/0.89 (define @t1218 () (or @t1165 (= @t1217 @t1217))) % 0.39/0.89 (define @t1219 () (= @t1217 (tptp.setadjoin @t4 @t1215))) % 0.39/0.89 (define @t1220 () (or @t282 @t282 @t1219)) % 0.39/0.89 (define @t1221 () (or @t282 @t1219)) % 0.39/0.89 (define @t1222 () (forall @t9 @t1221)) % 0.39/0.89 (define @t1223 () (forall @t1216 @t1222)) % 0.39/0.89 (define @t1224 () (forall (@list @t19 @t1215 @t4) @t1221)) % 0.39/0.89 (define @t1225 () (forall (@list @t4 @t19 @t1215) @t1221)) % 0.39/0.89 (define @t1226 () (@list @t1215)) % 0.39/0.89 (define @t1227 () (forall @t1226 @t1221)) % 0.39/0.89 (define @t1228 () (forall @t1226 @t1219)) % 0.39/0.89 (define @t1229 () (or @t282 @t1228)) % 0.39/0.89 (define @t1230 () (tptp.setadjoin @t4 @t380)) % 0.39/0.89 (define @t1231 () (tptp.setadjoin @t19 @t380)) % 0.39/0.89 (define @t1232 () (= @t1231 @t1230)) % 0.39/0.89 (define @t1233 () (@list @t380)) % 0.39/0.89 (define @t1234 () (forall @t1233 @t1232)) % 0.39/0.89 (define @t1235 () (not (= @t380 @t380))) % 0.39/0.89 (define @t1236 () (or @t1235 (= @t1230 @t1231))) % 0.39/0.89 (define @t1237 () (tptp.setadjoin @t4 @t289)) % 0.39/0.89 (define @t1238 () (= @t1237 @t1231)) % 0.39/0.89 (define @t1239 () (not @t384)) % 0.39/0.89 (define @t1240 () (or @t1239 @t1239 @t1238)) % 0.39/0.89 (define @t1241 () (@list @t289)) % 0.39/0.89 (define @t1242 () (or @t1239 @t1238)) % 0.39/0.89 (define @t1243 () (forall @t1241 @t1242)) % 0.39/0.89 (define @t1244 () (forall @t1233 @t1243)) % 0.39/0.89 (define @t1245 () (forall (@list @t380 @t289) @t1242)) % 0.39/0.89 (define @t1246 () (or @t1239 @t383)) % 0.39/0.89 (define @t1247 () (=> tptp.setadjoin__Cong @t1214)) % 0.39/0.89 (define @t1248 () (=> tptp.emptyset__Cong @t1247)) % 0.39/0.89 (define @t1249 () (= @t1163 @t1148)) % 0.39/0.89 (define @t1250 () (=> @t373 @t1249)) % 0.39/0.89 (define @t1251 () (forall @t375 @t1250)) % 0.39/0.89 (define @t1252 () (=> tptp.exu__Cong @t1248)) % 0.39/0.89 (define @t1253 () (=> tptp.exuE3u @t1252)) % 0.39/0.89 (define @t1254 () (@var "BOUND_VARIABLE_9305" $$unsorted)) % 0.39/0.89 (define @t1255 () (@list @t1 @t1254)) % 0.39/0.89 (define @t1256 () (tptp.in @t1254 @t1)) % 0.39/0.89 (define @t1257 () (or @t1020 (= @t1256 @t1256))) % 0.39/0.89 (define @t1258 () (= (tptp.in @t1254 @t2) @t1256)) % 0.39/0.89 (define @t1259 () (or @t442 @t442 @t1258)) % 0.39/0.89 (define @t1260 () (or @t442 @t1258)) % 0.39/0.89 (define @t1261 () (forall @t64 @t1260)) % 0.39/0.89 (define @t1262 () (forall @t1255 @t1261)) % 0.39/0.89 (define @t1263 () (forall (@list @t1 @t1254 @t2) @t1260)) % 0.39/0.89 (define @t1264 () (forall (@list @t2 @t1 @t1254) @t1260)) % 0.39/0.89 (define @t1265 () (@list @t1254)) % 0.39/0.89 (define @t1266 () (forall @t1265 @t1260)) % 0.39/0.89 (define @t1267 () (forall @t1265 @t1258)) % 0.39/0.89 (define @t1268 () (@list @t19)) % 0.39/0.89 (define @t1269 () (or @t442 @t1267)) % 0.39/0.89 (define @t1270 () (= @t754 @t1100)) % 0.39/0.89 (define @t1271 () (forall @t70 @t1270)) % 0.39/0.89 (define @t1272 () (or @t1165 @t1270)) % 0.39/0.89 (define @t1273 () (= @t601 @t1100)) % 0.39/0.89 (define @t1274 () (or @t282 @t282 @t1273)) % 0.39/0.89 (define @t1275 () (or @t282 @t1273)) % 0.39/0.89 (define @t1276 () (forall @t9 @t1275)) % 0.39/0.89 (define @t1277 () (forall @t70 @t1276)) % 0.39/0.89 (define @t1278 () (forall @t1171 @t1275)) % 0.39/0.89 (define @t1279 () (or @t282 @t357)) % 0.39/0.89 (define @t1280 () (=> tptp.in__Cong @t1253)) % 0.39/0.89 (define @t1281 () (@var "BOUND_VARIABLE_9268" $$unsorted)) % 0.39/0.89 (define @t1282 () (@list @t1 @t1281)) % 0.39/0.89 (define @t1283 () (tptp.in @t1281 @t1)) % 0.39/0.89 (define @t1284 () (not @t1283)) % 0.39/0.89 (define @t1285 () (or @t1284 @t1283)) % 0.39/0.89 (define @t1286 () (or @t1020 @t1284 @t1283)) % 0.39/0.89 (define @t1287 () (not (tptp.in @t1281 @t2))) % 0.39/0.89 (define @t1288 () (or @t442 @t442 @t1287 @t1283)) % 0.39/0.89 (define @t1289 () (or @t442 @t1287 @t1283)) % 0.39/0.89 (define @t1290 () (forall @t64 @t1289)) % 0.39/0.89 (define @t1291 () (forall @t1282 @t1290)) % 0.39/0.89 (define @t1292 () (forall (@list @t1 @t1281 @t2) @t1289)) % 0.39/0.89 (define @t1293 () (@list @t2 @t1 @t1281)) % 0.39/0.89 (define @t1294 () (or @t1287 @t1283)) % 0.39/0.89 (define @t1295 () (or @t442 @t1294)) % 0.39/0.89 (define @t1296 () (forall @t1293 @t1295)) % 0.39/0.89 (define @t1297 () (@list @t1281)) % 0.39/0.89 (define @t1298 () (forall @t1297 @t1295)) % 0.39/0.89 (define @t1299 () (forall @t1297 @t1294)) % 0.39/0.89 (define @t1300 () (or @t442 @t1299)) % 0.39/0.89 (define @t1301 () (or @t759 @t1100)) % 0.39/0.89 (define @t1302 () (forall @t70 @t1301)) % 0.39/0.89 (define @t1303 () (or @t1165 @t759 @t1100)) % 0.39/0.89 (define @t1304 () (or @t282 @t282 @t602 @t1100)) % 0.39/0.89 (define @t1305 () (or @t282 @t602 @t1100)) % 0.39/0.89 (define @t1306 () (forall @t9 @t1305)) % 0.39/0.89 (define @t1307 () (forall @t70 @t1306)) % 0.39/0.89 (define @t1308 () (forall @t1171 @t1305)) % 0.39/0.89 (define @t1309 () (or @t282 @t197 @t351)) % 0.39/0.89 (define @t1310 () (=> tptp.inCongP @t1280)) % 0.39/0.89 (define @t1311 () (= @t659 @t19)) % 0.39/0.89 (define @t1312 () (forall @t70 (= @t1311 @t628))) % 0.39/0.89 (define @t1313 () (not @t1312)) % 0.39/0.89 (define @t1314 () (or @t1313 @t656)) % 0.39/0.89 (define @t1315 () (forall @t660 @t1314)) % 0.39/0.89 (define @t1316 () (@list @t659)) % 0.39/0.89 (define @t1317 () (forall @t1316 @t1314)) % 0.39/0.89 (define @t1318 () (forall @t1316 @t1313)) % 0.39/0.89 (define @t1319 () (or @t1318 @t656)) % 0.39/0.89 (define @t1320 () (= @t153 @t129)) % 0.39/0.89 (define @t1321 () (=> @t265 @t1163)) % 0.39/0.89 (define @t1322 () (forall @t150 @t1321)) % 0.39/0.89 (define @t1323 () (=> tptp.exuI2 @t1310)) % 0.39/0.89 (define @t1324 () (@list @t664)) % 0.39/0.89 (define @t1325 () (forall @t1324 @t666)) % 0.39/0.89 (define @t1326 () (forall @t1324 @t665)) % 0.39/0.89 (define @t1327 () (or @t1326 @t663 @t656)) % 0.39/0.89 (define @t1328 () (or @t788 @t663 @t656)) % 0.39/0.89 (define @t1329 () (=> @t662 @t656)) % 0.39/0.89 (define @t1330 () (=> @t343 @t1163)) % 0.39/0.89 (define @t1331 () (forall @t9 @t315)) % 0.39/0.89 (define @t1332 () (not @t1331)) % 0.39/0.89 (define @t1333 () (=> @t186 @t1330)) % 0.39/0.89 (define @t1334 () (forall @t150 @t1333)) % 0.39/0.89 (define @t1335 () (=> tptp.exuI3 @t1323)) % 0.39/0.89 (define @t1336 () (=> @t169 @t1163)) % 0.39/0.89 (define @t1337 () (forall @t150 @t1336)) % 0.39/0.89 (define @t1338 () (=> tptp.exuI1 @t1335)) % 0.39/0.89 (define @t1339 () (forall @t9 (or @t602 @t653))) % 0.39/0.89 (define @t1340 () (not @t1339)) % 0.39/0.89 (define @t1341 () (or @t197 @t144)) % 0.39/0.89 (define @t1342 () (forall @t9 (not @t316))) % 0.39/0.89 (define @t1343 () (not @t1342)) % 0.39/0.89 (define @t1344 () (=> tptp.notdallE @t1338)) % 0.39/0.89 (define @t1345 () (forall @t9 (or @t602 @t654))) % 0.39/0.89 (define @t1346 () (or @t197 @t315)) % 0.39/0.89 (define @t1347 () (forall @t9 (not @t306))) % 0.39/0.89 (define @t1348 () (not @t1347)) % 0.39/0.89 (define @t1349 () (=> tptp.notdexE @t1344)) % 0.39/0.89 (define @t1350 () (or @t1019 @t670)) % 0.39/0.89 (define @t1351 () (tptp.prop2set @t173)) % 0.39/0.89 (define @t1352 () (tptp.set2prop @t1351)) % 0.39/0.89 (define @t1353 () (not @t173)) % 0.39/0.89 (define @t1354 () (not (= @t173 true))) % 0.39/0.89 (define @t1355 () (or @t1353 @t1353 @t1352)) % 0.39/0.89 (define @t1356 () (or @t1353 @t1352)) % 0.39/0.89 (define @t1357 () (or @t1353 @t337)) % 0.39/0.89 (define @t1358 () (=> tptp.prop2set2propI @t1349)) % 0.39/0.89 (define @t1359 () (or @t1019 @t672)) % 0.39/0.89 (define @t1360 () (tptp.in tptp.emptyset @t1351)) % 0.39/0.89 (define @t1361 () (or @t1353 @t1353 @t1360)) % 0.39/0.89 (define @t1362 () (or @t1353 @t1360)) % 0.39/0.89 (define @t1363 () (or @t1353 @t334)) % 0.39/0.89 (define @t1364 () (=> tptp.prop2setI @t1358)) % 0.39/0.89 (define @t1365 () (=> tptp.quantDeMorgan4 @t1364)) % 0.39/0.89 (define @t1366 () (=> tptp.quantDeMorgan3 @t1365)) % 0.39/0.89 (define @t1367 () (=> tptp.quantDeMorgan2 @t1366)) % 0.39/0.89 (define @t1368 () (=> tptp.quantDeMorgan1 @t1367)) % 0.39/0.89 (define @t1369 () (or @t16 @t144)) % 0.39/0.89 (define @t1370 () (=> tptp.vacuousDall @t1368)) % 0.39/0.89 (define @t1371 () (or @t680 @t679)) % 0.39/0.89 (define @t1372 () (or @t1371 @t682)) % 0.39/0.89 (define @t1373 () (forall @t684 @t1372)) % 0.39/0.89 (define @t1374 () (@list @t678)) % 0.39/0.89 (define @t1375 () (forall @t1374 @t1372)) % 0.39/0.89 (define @t1376 () (forall @t1374 @t1371)) % 0.39/0.89 (define @t1377 () (or @t1376 @t682)) % 0.39/0.89 (define @t1378 () (= tptp.emptyset @t1091)) % 0.39/0.89 (define @t1379 () (not @t1378)) % 0.39/0.89 (define @t1380 () (or @t1345 @t1379)) % 0.39/0.89 (define @t1381 () (= tptp.emptyset @t304)) % 0.39/0.89 (define @t1382 () (not @t1381)) % 0.39/0.89 (define @t1383 () (or @t1345 @t1382)) % 0.39/0.89 (define @t1384 () (not @t1345)) % 0.39/0.89 (define @t1385 () (=> tptp.emptyE1 @t1370)) % 0.39/0.89 (define @t1386 () (=> tptp.upairsetIR @t1385)) % 0.39/0.89 (define @t1387 () (=> tptp.upairsetIL @t1386)) % 0.39/0.89 (define @t1388 () (not @t293)) % 0.39/0.89 (define @t1389 () (or @t1388 @t696 @t695)) % 0.39/0.89 (define @t1390 () (or @t696 @t695)) % 0.39/0.89 (define @t1391 () (=> tptp.upairsetE @t1387)) % 0.39/0.89 (define @t1392 () (not @t276)) % 0.39/0.89 (define @t1393 () (or @t1392 @t280)) % 0.39/0.89 (define @t1394 () (=> tptp.singletonsswitch @t1391)) % 0.39/0.89 (define @t1395 () (or @t1165 @t706)) % 0.39/0.89 (define @t1396 () (or @t282 @t282 @t702)) % 0.39/0.89 (define @t1397 () (or @t282 @t702)) % 0.39/0.89 (define @t1398 () (forall @t9 @t1397)) % 0.39/0.89 (define @t1399 () (forall @t70 @t1398)) % 0.39/0.89 (define @t1400 () (forall @t1171 @t1397)) % 0.39/0.89 (define @t1401 () (or @t282 @t276)) % 0.39/0.89 (define @t1402 () (=> tptp.eqinunit @t1394)) % 0.39/0.89 (define @t1403 () (or @t129 @t281)) % 0.39/0.89 (define @t1404 () (=> tptp.notinsingleton @t1402)) % 0.39/0.89 (define @t1405 () (or @t1392 @t129)) % 0.39/0.89 (define @t1406 () (=> tptp.uniqinunit @t1404)) % 0.39/0.89 (define @t1407 () (not @t196)) % 0.39/0.89 (define @t1408 () (not @t198)) % 0.39/0.89 (define @t1409 () (_ @t577 @t2)) % 0.39/0.89 (define @t1410 () (=> @t1409 @t270)) % 0.39/0.89 (define @t1411 () (forall @t64 @t1410)) % 0.39/0.89 (define @t1412 () (=> tptp.nonemptyImpWitness @t1406)) % 0.39/0.89 (define @t1413 () (or @t629 (= @t717 @t19))) % 0.39/0.89 (define @t1414 () (forall @t70 @t1413)) % 0.39/0.89 (define @t1415 () (not @t1414)) % 0.39/0.89 (define @t1416 () (or @t721 @t718 @t1415)) % 0.39/0.89 (define @t1417 () (or @t718 @t1415)) % 0.39/0.89 (define @t1418 () (or @t1417 @t721)) % 0.39/0.89 (define @t1419 () (forall @t722 @t1418)) % 0.39/0.89 (define @t1420 () (@list @t717)) % 0.39/0.89 (define @t1421 () (forall @t1420 @t1418)) % 0.39/0.89 (define @t1422 () (forall @t1420 @t1417)) % 0.39/0.89 (define @t1423 () (or @t1422 @t721)) % 0.39/0.89 (define @t1424 () (=> @t1163 @t265)) % 0.39/0.89 (define @t1425 () (forall @t150 @t1424)) % 0.39/0.89 (define @t1426 () (=> tptp.exuE2 @t1412)) % 0.39/0.89 (define @t1427 () (or @t197 @t260)) % 0.39/0.89 (define @t1428 () (=> tptp.subPowSU @t1426)) % 0.39/0.89 (define @t1429 () (not @t44)) % 0.39/0.89 (define @t1430 () (or @t1429 @t733)) % 0.39/0.89 (define @t1431 () (not false)) % 0.39/0.89 (define @t1432 () (and @t1431 @t733)) % 0.39/0.89 (define @t1433 () (or @t1432 false)) % 0.39/0.89 (define @t1434 () (and @t1353 @t733)) % 0.39/0.89 (define @t1435 () (not (= @t173 false))) % 0.39/0.89 (define @t1436 () (or @t173 @t1434 @t173)) % 0.39/0.89 (define @t1437 () (or @t1434 @t173)) % 0.39/0.89 (define @t1438 () (or @t173 @t732)) % 0.39/0.89 (define @t1439 () (not @t39)) % 0.39/0.89 (define @t1440 () (or @t434 @t1439)) % 0.39/0.89 (define @t1441 () (forall @t41 @t1440)) % 0.39/0.89 (define @t1442 () (or @t173 @t1441)) % 0.39/0.89 (define @t1443 () (or @t173 @t1440)) % 0.39/0.89 (define @t1444 () (or @t434 @t1439 @t173)) % 0.39/0.89 (define @t1445 () (=> tptp.setunionE @t1428)) % 0.39/0.89 (define @t1446 () (or @t434 @t1439 @t44)) % 0.39/0.89 (define @t1447 () (=> tptp.setunionI @t1445)) % 0.39/0.89 (define @t1448 () (or @t997 @t434 @t7)) % 0.39/0.89 (define @t1449 () (or @t434 @t7)) % 0.39/0.89 (define @t1450 () (=> tptp.powersetE @t1447)) % 0.39/0.89 (define @t1451 () (=> tptp.emptyInPowerset @t1450)) % 0.39/0.89 (define @t1452 () (=> tptp.emptyinPowerset @t1451)) % 0.39/0.89 (define @t1453 () (or @t746 @t35)) % 0.39/0.89 (define @t1454 () (=> tptp.powersetI @t1452)) % 0.39/0.89 (define @t1455 () (_ @t155 @t750)) % 0.39/0.89 (define @t1456 () (= @t2 @t1455)) % 0.39/0.89 (define @t1457 () (=> tptp.setoftrueEq @t1454)) % 0.39/0.89 (define @t1458 () (not @t26)) % 0.39/0.89 (define @t1459 () (or @t1458 @t129 @t21)) % 0.39/0.89 (define @t1460 () (or @t129 @t21)) % 0.39/0.89 (define @t1461 () (=> tptp.setadjoinOr @t1457)) % 0.39/0.89 (define @t1462 () (or @t1458 @t129 @t754)) % 0.39/0.89 (define @t1463 () (and @t754 @t1431)) % 0.39/0.89 (define @t1464 () (and @t129 @t1431)) % 0.39/0.89 (define @t1465 () (or @t1464 @t1463)) % 0.39/0.89 (define @t1466 () (or @t1464 @t1463 false)) % 0.39/0.89 (define @t1467 () (and @t754 @t1353)) % 0.39/0.89 (define @t1468 () (and @t129 @t1353)) % 0.39/0.89 (define @t1469 () (or @t173 @t1468 @t1467 @t173)) % 0.39/0.89 (define @t1470 () (or @t1468 @t1467 @t173)) % 0.39/0.89 (define @t1471 () (and @t21 @t1353)) % 0.39/0.89 (define @t1472 () (or @t1468 @t1471 @t173)) % 0.39/0.89 (define @t1473 () (=> @t129 @t173)) % 0.39/0.89 (define @t1474 () (=> tptp.setadjoinE @t1461)) % 0.39/0.89 (define @t1475 () (not @t21)) % 0.39/0.89 (define @t1476 () (or @t1475 @t26)) % 0.39/0.89 (define @t1477 () (=> tptp.setadjoinIR @t1474)) % 0.39/0.89 (define @t1478 () (=> tptp.emptyinunitempty @t1477)) % 0.39/0.89 (define @t1479 () (=> tptp.setadjoinIL @t1478)) % 0.39/0.89 (define @t1480 () (not @t378)) % 0.39/0.89 (define @t1481 () (or @t770 @t1480)) % 0.39/0.89 (define @t1482 () (not (tptp.in @t769 @t2))) % 0.39/0.89 (define @t1483 () (or @t1407 @t1482 @t1407)) % 0.39/0.89 (define @t1484 () (or @t1482 @t1407)) % 0.39/0.89 (define @t1485 () (forall @t64 @t1484)) % 0.39/0.89 (define @t1486 () (forall @t771 @t1485)) % 0.39/0.89 (define @t1487 () (forall (@list @t769 @t2) @t1484)) % 0.39/0.89 (define @t1488 () (forall (@list @t2 @t769) @t1484)) % 0.39/0.89 (define @t1489 () (forall @t771 @t1484)) % 0.39/0.89 (define @t1490 () (forall @t771 @t1482)) % 0.39/0.89 (define @t1491 () (or @t1490 @t1407)) % 0.39/0.89 (define @t1492 () (not @t714)) % 0.39/0.89 (define @t1493 () (=> @t89 @t1409)) % 0.39/0.89 (define @t1494 () (forall @t64 @t1493)) % 0.39/0.89 (define @t1495 () (=> tptp.nonemptyI1 @t1479)) % 0.39/0.89 (define @t1496 () (lambda @t70 @t628)) % 0.39/0.89 (define @t1497 () (tptp.dsetconstr @t2 @t1496)) % 0.39/0.89 (define @t1498 () (= tptp.emptyset @t1497)) % 0.39/0.89 (define @t1499 () (not @t1498)) % 0.39/0.89 (define @t1500 () (or @t602 @t654 @t1499)) % 0.39/0.89 (define @t1501 () (= tptp.emptyset @t156)) % 0.39/0.89 (define @t1502 () (not @t1501)) % 0.39/0.89 (define @t1503 () (or @t197 @t315 @t1502)) % 0.39/0.89 (define @t1504 () (=> @t144 @t1502)) % 0.39/0.89 (define @t1505 () (not (= @t156 tptp.emptyset))) % 0.39/0.89 (define @t1506 () (_ @t577 @t156)) % 0.39/0.89 (define @t1507 () (=> @t144 @t1506)) % 0.39/0.89 (define @t1508 () (=> @t7 @t1507)) % 0.39/0.89 (define @t1509 () (forall @t159 @t1508)) % 0.39/0.89 (define @t1510 () (=> tptp.nonemptyI @t1495)) % 0.39/0.89 (define @t1511 () (=> @t1409 @t89)) % 0.39/0.89 (define @t1512 () (forall @t64 @t1511)) % 0.39/0.89 (define @t1513 () (=> tptp.nonemptyE1 @t1510)) % 0.39/0.89 (define @t1514 () (tptp.in @t4 @t1497)) % 0.39/0.89 (define @t1515 () (= @t653 @t1514)) % 0.39/0.89 (define @t1516 () (or @t602 @t1515)) % 0.39/0.89 (define @t1517 () (= @t144 @t157)) % 0.39/0.89 (define @t1518 () (or @t197 @t1517)) % 0.39/0.89 (define @t1519 () (=> tptp.setbeta @t1513)) % 0.39/0.89 (define @t1520 () (=> tptp.noeltsimpempty @t1519)) % 0.39/0.89 (define @t1521 () (=> tptp.emptyI @t1520)) % 0.39/0.89 (define @t1522 () (=> @t745 @t3)) % 0.39/0.89 (define @t1523 () (=> tptp.setext @t1521)) % 0.39/0.89 (define @t1524 () (or @t629 (= @t786 @t19))) % 0.39/0.89 (define @t1525 () (forall @t70 @t1524)) % 0.39/0.89 (define @t1526 () (not @t1525)) % 0.39/0.89 (define @t1527 () (or @t789 @t787 @t1526)) % 0.39/0.89 (define @t1528 () (or @t787 @t1526)) % 0.39/0.89 (define @t1529 () (or @t1528 @t789)) % 0.39/0.89 (define @t1530 () (forall @t790 @t1529)) % 0.39/0.89 (define @t1531 () (@list @t786)) % 0.39/0.89 (define @t1532 () (forall @t1531 @t1529)) % 0.39/0.89 (define @t1533 () (forall @t1531 @t1528)) % 0.39/0.89 (define @t1534 () (or @t1533 @t789)) % 0.39/0.89 (define @t1535 () (=> @t1163 @t186)) % 0.39/0.89 (define @t1536 () (forall @t150 @t1535)) % 0.39/0.89 (define @t1537 () (=> tptp.exuE3e @t1523)) % 0.39/0.89 (define @t1538 () (=> tptp.notinemptyset @t1537)) % 0.39/0.89 (define @t1539 () (=> tptp.emptysetimpfalse @t1538)) % 0.39/0.89 (define @t1540 () (or @t173 @t173)) % 0.39/0.89 (define @t1541 () (=> tptp.emptysetE @t1539)) % 0.39/0.89 (define @t1542 () (or @t797 false)) % 0.39/0.89 (define @t1543 () (tptp.in @t4 @t1351)) % 0.39/0.89 (define @t1544 () (not @t1543)) % 0.39/0.89 (define @t1545 () (or @t173 @t1544 @t173)) % 0.39/0.89 (define @t1546 () (or @t1544 @t173)) % 0.39/0.89 (define @t1547 () (forall @t179 @t1546)) % 0.39/0.89 (define @t1548 () (forall @t9 @t1547)) % 0.39/0.89 (define @t1549 () (forall (@list @t4 @t173) @t1546)) % 0.39/0.89 (define @t1550 () (not @t175)) % 0.39/0.89 (define @t1551 () (or @t1550 @t173)) % 0.39/0.89 (define @t1552 () (=> tptp.prop2setE @t1541)) % 0.39/0.89 (define @t1553 () (=> @t1163 @t169)) % 0.39/0.89 (define @t1554 () (forall @t150 @t1553)) % 0.39/0.89 (define @t1555 () (=> tptp.exuE1 @t1552)) % 0.39/0.89 (define @t1556 () (not @t1514)) % 0.39/0.89 (define @t1557 () (or @t1556 @t653)) % 0.39/0.89 (define @t1558 () (not @t157)) % 0.39/0.89 (define @t1559 () (or @t1558 @t144)) % 0.39/0.89 (define @t1560 () (=> tptp.dsetconstrER @t1555)) % 0.39/0.89 (define @t1561 () (or @t1556 @t601)) % 0.39/0.89 (define @t1562 () (or @t1558 @t7)) % 0.39/0.89 (define @t1563 () (=> tptp.dsetconstrEL @t1560)) % 0.39/0.89 (define @t1564 () (or @t602 @t654 @t1514)) % 0.39/0.89 (define @t1565 () (or @t197 @t315 @t157)) % 0.39/0.89 (define @t1566 () (=> tptp.dsetconstrI @t1563)) % 0.39/0.89 (define @t1567 () (or @t629 (= @t807 @t19))) % 0.39/0.89 (define @t1568 () (forall @t70 @t1567)) % 0.39/0.89 (define @t1569 () (not @t1568)) % 0.39/0.89 (define @t1570 () (or @t809 @t808 @t1569)) % 0.39/0.89 (define @t1571 () (or @t808 @t1569)) % 0.39/0.89 (define @t1572 () (or @t1571 @t809)) % 0.39/0.89 (define @t1573 () (forall @t810 @t1572)) % 0.39/0.89 (define @t1574 () (@list @t807)) % 0.39/0.89 (define @t1575 () (forall @t1574 @t1572)) % 0.39/0.89 (define @t1576 () (forall @t1574 @t1571)) % 0.39/0.89 (define @t1577 () (or @t1576 @t809)) % 0.39/0.89 (define @t1578 () (_ @t143 @t1125)) % 0.39/0.89 (define @t1579 () (or @t655 @t1578)) % 0.39/0.89 (define @t1580 () (or @t655 @t147)) % 0.39/0.89 (define @t1581 () (=> @t1163 @t147)) % 0.39/0.89 (define @t1582 () (forall @t150 @t1581)) % 0.39/0.89 (define @t1583 () (=> tptp.descrp @t1566)) % 0.39/0.89 (define @t1584 () (and @t860 @t853 @t849 @t837)) % 0.39/0.89 (define @t1585 () (forall @t41 (not @t1584))) % 0.39/0.89 (define @t1586 () (not @t1585)) % 0.39/0.89 (define @t1587 () (@list @t832)) % 0.39/0.89 (define @t1588 () (forall @t1587 @t836)) % 0.39/0.89 (define @t1589 () (forall @t1587 @t833)) % 0.39/0.89 (define @t1590 () (or @t835 @t1589 @t831)) % 0.39/0.89 (define @t1591 () (forall @t9 @t828)) % 0.39/0.89 (define @t1592 () (or @t835 @t1591 @t831)) % 0.39/0.89 (define @t1593 () (not @t1591)) % 0.39/0.89 (define @t1594 () (and @t834 @t1593)) % 0.39/0.89 (define @t1595 () (not @t109)) % 0.39/0.89 (define @t1596 () (not @t110)) % 0.39/0.89 (define @t1597 () (or @t1596 @t1595 @t826 @t822)) % 0.39/0.89 (define @t1598 () (and @t110 @t109 @t825 @t821)) % 0.39/0.89 (define @t1599 () (forall @t112 (not @t1598))) % 0.39/0.89 (define @t1600 () (not @t1599)) % 0.39/0.89 (define @t1601 () (or @t815 @t814)) % 0.39/0.89 (define @t1602 () (or @t818 @t1601 @t816)) % 0.39/0.89 (define @t1603 () (forall @t820 @t1602)) % 0.39/0.89 (define @t1604 () (@list @t813)) % 0.39/0.89 (define @t1605 () (forall @t1604 @t1602)) % 0.39/0.89 (define @t1606 () (forall @t1604 @t1601)) % 0.39/0.89 (define @t1607 () (or @t818 @t1606 @t816)) % 0.39/0.89 (define @t1608 () (tptp.in @t19 @t93)) % 0.39/0.89 (define @t1609 () (forall @t70 (or (not @t1608) @t824))) % 0.39/0.89 (define @t1610 () (not @t100)) % 0.39/0.89 (define @t1611 () (or @t1610 @t1609 @t94)) % 0.39/0.89 (define @t1612 () (or @t1609 @t94)) % 0.39/0.89 (define @t1613 () (not @t97)) % 0.39/0.89 (define @t1614 () (or @t1613 @t96)) % 0.39/0.89 (define @t1615 () (not @t105)) % 0.39/0.89 (define @t1616 () (not @t96)) % 0.39/0.89 (define @t1617 () (or @t1616 @t1615)) % 0.39/0.89 (define @t1618 () (forall @t70 (not @t106))) % 0.39/0.89 (define @t1619 () (not @t1618)) % 0.39/0.89 (define @t1620 () (forall @t9 @t1595)) % 0.39/0.89 (define @t1621 () (not @t1620)) % 0.39/0.89 (define @t1622 () (or @t1595 @t7)) % 0.39/0.89 (define @t1623 () (or @t841 @t840)) % 0.39/0.89 (define @t1624 () (or @t844 @t843)) % 0.39/0.89 (define @t1625 () (or @t846 @t830 @t1624 @t1623)) % 0.39/0.89 (define @t1626 () (forall @t848 @t1625)) % 0.39/0.89 (define @t1627 () (forall (@list @t842 @t839) @t1625)) % 0.39/0.89 (define @t1628 () (forall (@list @t839) @t1623)) % 0.39/0.89 (define @t1629 () (forall (@list @t842) @t1624)) % 0.39/0.89 (define @t1630 () (or @t846 @t830 @t1629 @t1628)) % 0.39/0.89 (define @t1631 () (tptp.in @t4 @t95)) % 0.39/0.89 (define @t1632 () (forall @t9 (or (not @t1631) @t827))) % 0.39/0.89 (define @t1633 () (forall @t9 (or @t828 @t1631))) % 0.39/0.89 (define @t1634 () (not @t124)) % 0.39/0.89 (define @t1635 () (or @t1634 @t1596 @t1633 @t1632)) % 0.39/0.89 (define @t1636 () (or @t1633 @t1632)) % 0.39/0.89 (define @t1637 () (not @t120)) % 0.39/0.89 (define @t1638 () (or @t1637 @t109)) % 0.39/0.89 (define @t1639 () (or @t1595 @t120)) % 0.39/0.89 (define @t1640 () (or @t197 @t1475 @t852 @t129)) % 0.39/0.89 (define @t1641 () (=> @t851 @t129)) % 0.39/0.89 (define @t1642 () (or @t1634 @t130)) % 0.39/0.89 (define @t1643 () (or @t857 @t856)) % 0.39/0.89 (define @t1644 () (or @t846 @t1643)) % 0.39/0.89 (define @t1645 () (forall @t859 @t1644)) % 0.39/0.89 (define @t1646 () (@list @t855)) % 0.39/0.89 (define @t1647 () (forall @t1646 @t1644)) % 0.39/0.89 (define @t1648 () (forall @t1646 @t1643)) % 0.39/0.89 (define @t1649 () (or @t846 @t1648)) % 0.39/0.89 (define @t1650 () (or @t1634 @t834)) % 0.39/0.89 (define @t1651 () (=> tptp.wellorderingAx @t1583)) % 0.39/0.89 (define @t1652 () (@list @t868)) % 0.39/0.89 (define @t1653 () (forall @t1652 @t870)) % 0.39/0.89 (define @t1654 () (forall @t1652 @t869)) % 0.39/0.89 (define @t1655 () (or @t1654 @t867)) % 0.39/0.89 (define @t1656 () (or @t1439 @t866)) % 0.39/0.89 (define @t1657 () (and @t39 @t865)) % 0.39/0.89 (define @t1658 () (forall @t41 (not @t1657))) % 0.39/0.89 (define @t1659 () (not @t1658)) % 0.39/0.89 (define @t1660 () (or @t434 @t197)) % 0.39/0.89 (define @t1661 () (forall @t9 (not @t84))) % 0.39/0.89 (define @t1662 () (not @t1661)) % 0.39/0.89 (define @t1663 () (=> tptp.foundationAx @t1651)) % 0.39/0.89 (define @t1664 () (= @t6 @t874)) % 0.39/0.89 (define @t1665 () (not @t68)) % 0.39/0.89 (define @t1666 () (or @t1475 @t1665)) % 0.39/0.89 (define @t1667 () (forall @t70 (not @t69))) % 0.39/0.89 (define @t1668 () (not @t1667)) % 0.39/0.89 (define @t1669 () (or @t197 @t883)) % 0.39/0.89 (define @t1670 () (_ @t75 @t877)) % 0.39/0.89 (define @t1671 () (not @t1670)) % 0.39/0.89 (define @t1672 () (or @t1671 @t880)) % 0.39/0.89 (define @t1673 () (not @t76)) % 0.39/0.89 (define @t1674 () (or @t1673 @t878)) % 0.39/0.89 (define @t1675 () (_ @t77 @t19)) % 0.39/0.89 (define @t1676 () (not @t1675)) % 0.39/0.89 (define @t1677 () (or @t1676 @t878)) % 0.39/0.89 (define @t1678 () (forall @t70 @t1677)) % 0.39/0.89 (define @t1679 () (not @t1678)) % 0.39/0.89 (define @t1680 () (_ @t77 @t877)) % 0.39/0.89 (define @t1681 () (not @t1680)) % 0.39/0.89 (define @t1682 () (or @t1681 @t1679)) % 0.39/0.89 (define @t1683 () (forall @t882 @t1682)) % 0.39/0.89 (define @t1684 () (not @t1683)) % 0.39/0.89 (define @t1685 () (not (_ @t143 @t877))) % 0.39/0.89 (define @t1686 () (or @t629 (= @t877 @t19))) % 0.39/0.89 (define @t1687 () (forall @t70 @t1686)) % 0.39/0.89 (define @t1688 () (not @t1687)) % 0.39/0.89 (define @t1689 () (or @t1685 @t1688)) % 0.39/0.89 (define @t1690 () (forall @t882 @t1689)) % 0.39/0.89 (define @t1691 () (not @t1690)) % 0.39/0.89 (define @t1692 () (=> @t7 (_ @t1147 @t77))) % 0.39/0.89 (define @t1693 () (forall @t9 @t1692)) % 0.39/0.89 (define @t1694 () (=> @t1693 @t74)) % 0.39/0.89 (define @t1695 () (forall @t81 @t1694)) % 0.39/0.89 (define @t1696 () (=> tptp.replAx @t1663)) % 0.39/0.89 (define @t1697 () (or @t889 @t888)) % 0.39/0.89 (define @t1698 () (or @t897 @t895 @t1697)) % 0.39/0.89 (define @t1699 () (forall @t899 @t1698)) % 0.39/0.89 (define @t1700 () (@list @t887)) % 0.39/0.89 (define @t1701 () (forall @t1700 @t1698)) % 0.39/0.89 (define @t1702 () (forall @t1700 @t1697)) % 0.39/0.89 (define @t1703 () (or @t897 @t895 @t1702)) % 0.39/0.89 (define @t1704 () (forall @t9 (or @t893 @t601))) % 0.39/0.89 (define @t1705 () (not @t61)) % 0.39/0.89 (define @t1706 () (or @t1705 @t895 @t1704)) % 0.39/0.89 (define @t1707 () (and @t61 @t894)) % 0.39/0.89 (define @t1708 () (not @t54)) % 0.39/0.89 (define @t1709 () (or @t1708 @t7)) % 0.39/0.89 (define @t1710 () (_ tptp.in @t890)) % 0.39/0.89 (define @t1711 () (or @t1708 @t197 @t58)) % 0.39/0.89 (define @t1712 () (=> tptp.omegaIndAx @t1696)) % 0.39/0.89 (define @t1713 () (or @t1708 @t53)) % 0.39/0.89 (define @t1714 () (=> tptp.omegaSAx @t1712)) % 0.39/0.89 (define @t1715 () (=> tptp.omega0Ax @t1714)) % 0.39/0.89 (define @t1716 () (= @t44 @t733)) % 0.39/0.89 (define @t1717 () (forall @t41 (not @t40))) % 0.39/0.89 (define @t1718 () (not @t1717)) % 0.39/0.89 (define @t1719 () (=> tptp.setunionAx @t1715)) % 0.39/0.89 (define @t1720 () (= @t35 @t745)) % 0.39/0.89 (define @t1721 () (=> tptp.powersetAx @t1719)) % 0.39/0.89 (define @t1722 () (= @t26 @t1460)) % 0.39/0.89 (define @t1723 () (=> tptp.setadjoinAx @t1721)) % 0.39/0.89 (define @t1724 () (=> tptp.emptysetAx @t1723)) % 0.39/0.89 (define @t1725 () (=> tptp.setextAx @t1724)) % 0.39/0.89 (define @t1726 () (@quantifiers_skolemize @t580 0)) % 0.39/0.89 (define @t1727 () (tptp.in @t1726 (tptp.powerset @t1726))) % 0.39/0.89 (define @t1728 () (tptp.in @t4 @t1726)) % 0.39/0.89 (define @t1729 () (forall @t9 (or (not @t1728) @t1728))) % 0.39/0.89 (define @t1730 () (= @t1729 @t1727)) % 0.39/0.89 (assume @p1 @t14) % 0.39/0.89 (assume @p2 @t18) % 0.39/0.89 (assume @p3 @t30) % 0.39/0.89 (assume @p4 @t38) % 0.39/0.89 (assume @p5 @t48) % 0.39/0.89 (assume @p6 (= tptp.omega0Ax @t50)) % 0.39/0.89 (assume @p7 @t56) % 0.39/0.89 (assume @p8 @t66) % 0.39/0.89 (assume @p9 @t83) % 0.39/0.89 (assume @p10 @t92) % 0.39/0.89 (assume @p11 @t142) % 0.39/0.89 (assume @p12 @t152) % 0.39/0.89 (assume @p13 @t161) % 0.39/0.89 (assume @p14 @t163) % 0.39/0.89 (assume @p15 @t165) % 0.39/0.89 (assume @p16 @t172) % 0.39/0.89 (assume @p17 @t178) % 0.39/0.89 (assume @p18 @t183) % 0.39/0.89 (assume @p19 @t185) % 0.39/0.89 (assume @p20 (= tptp.notinemptyset @t17)) % 0.39/0.89 (assume @p21 @t189) % 0.39/0.89 (assume @p22 @t195) % 0.39/0.89 (assume @p23 @t201) % 0.39/0.89 (assume @p24 (= tptp.noeltsimpempty @t200)) % 0.39/0.89 (assume @p25 @t204) % 0.39/0.89 (assume @p26 @t208) % 0.39/0.89 (assume @p27 @t212) % 0.39/0.89 (assume @p28 @t215) % 0.39/0.89 (assume @p29 @t219) % 0.39/0.89 (assume @p30 (= tptp.emptyinunitempty @t221)) % 0.39/0.89 (assume @p31 @t223) % 0.39/0.89 (assume @p32 @t231) % 0.39/0.89 (assume @p33 @t234) % 0.39/0.89 (assume @p34 @t238) % 0.39/0.89 (assume @p35 @t241) % 0.39/0.89 (assume @p36 @t244) % 0.39/0.89 (assume @p37 (= tptp.emptyInPowerset @t243)) % 0.39/0.89 (assume @p38 @t247) % 0.39/0.89 (assume @p39 @t251) % 0.39/0.89 (assume @p40 @t258) % 0.39/0.89 (assume @p41 @t262) % 0.39/0.89 (assume @p42 @t268) % 0.39/0.89 (assume @p43 @t273) % 0.39/0.89 (assume @p44 @t278) % 0.39/0.89 (assume @p45 @t284) % 0.39/0.89 (assume @p46 @t286) % 0.39/0.89 (assume @p47 @t288) % 0.39/0.89 (assume @p48 @t297) % 0.39/0.89 (assume @p49 @t300) % 0.39/0.89 (assume @p50 @t303) % 0.39/0.89 (assume @p51 @t311) % 0.39/0.89 (assume @p52 @t314) % 0.39/0.89 (assume @p53 @t322) % 0.39/0.89 (assume @p54 @t327) % 0.39/0.89 (assume @p55 @t330) % 0.39/0.89 (assume @p56 @t333) % 0.39/0.89 (assume @p57 @t336) % 0.39/0.89 (assume @p58 @t339) % 0.39/0.89 (assume @p59 (= tptp.notdexE @t329)) % 0.39/0.89 (assume @p60 (= tptp.notdallE @t321)) % 0.39/0.89 (assume @p61 @t342) % 0.39/0.89 (assume @p62 @t347) % 0.39/0.89 (assume @p63 @t350) % 0.39/0.89 (assume @p64 @t356) % 0.39/0.89 (assume @p65 @t361) % 0.39/0.89 (assume @p66 @t364) % 0.39/0.89 (assume @p67 @t377) % 0.39/0.89 (assume @p68 @t379) % 0.39/0.89 (assume @p69 @t389) % 0.39/0.89 (assume @p70 @t393) % 0.39/0.89 (assume @p71 @t397) % 0.39/0.89 (assume @p72 @t398) % 0.39/0.89 (assume @p73 @t399) % 0.39/0.89 (assume @p74 @t406) % 0.39/0.89 (assume @p75 @t417) % 0.39/0.89 (assume @p76 @t422) % 0.39/0.89 (assume @p77 @t426) % 0.39/0.89 (assume @p78 @t428) % 0.39/0.89 (assume @p79 (= tptp.subsetI2 @t421)) % 0.39/0.89 (assume @p80 @t431) % 0.39/0.89 (assume @p81 @t433) % 0.39/0.89 (assume @p82 @t437) % 0.39/0.89 (assume @p83 @t441) % 0.39/0.89 (assume @p84 @t444) % 0.39/0.89 (assume @p85 @t447) % 0.39/0.89 (assume @p86 @t450) % 0.39/0.89 (assume @p87 @t456) % 0.39/0.89 (assume @p88 @t460) % 0.39/0.89 (assume @p89 @t464) % 0.39/0.89 (assume @p90 @t468) % 0.39/0.89 (assume @p91 @t471) % 0.39/0.89 (assume @p92 @t474) % 0.39/0.89 (assume @p93 @t476) % 0.39/0.89 (assume @p94 @t478) % 0.39/0.89 (assume @p95 @t575) % 0.39/0.89 (assume @p96 true) % 0.39/0.89 (step @p97 (= tptp.exu @t576) :rule refl :args (@t576)) % 0.39/0.89 (step @p98 (= tptp.nonempty @t577) :rule refl :args (@t577)) % 0.39/0.89 (step @p99 :rule refl :args (@t668)) % 0.39/0.89 (step @p100 :rule skolem_intro :args ((@purify true))) % 0.39/0.89 (step @p101 :rule symm :premises (@p100)) % 0.39/0.89 (step @p102 :rule cong :premises (@p101) :args (@t669)) % 0.39/0.89 (step @p103 :rule cong :premises (@p102) :args (@t670)) % 0.39/0.89 (step @p104 :rule cong :premises (@p103 @p99) :args (@t671)) % 0.39/0.89 (step @p105 :rule refl :args (tptp.emptyset)) % 0.39/0.89 (step @p106 :rule cong :premises (@p105 @p102) :args (@t672)) % 0.39/0.89 (step @p107 :rule cong :premises (@p106 @p104) :args (@t673)) % 0.39/0.89 (step @p108 :rule refl :args (@t676)) % 0.39/0.89 (step @p109 :rule cong :premises (@p108 @p107) :args (@t677)) % 0.39/0.89 (step @p110 :rule refl :args (@t685)) % 0.39/0.89 (step @p111 :rule cong :premises (@p110 @p109) :args (@t686)) % 0.39/0.89 (step @p112 :rule refl :args (@t690)) % 0.39/0.89 (step @p113 :rule cong :premises (@p112 @p111) :args (@t691)) % 0.39/0.89 (step @p114 :rule refl :args (@t693)) % 0.39/0.89 (step @p115 :rule cong :premises (@p114 @p113) :args (@t694)) % 0.39/0.89 (step @p116 :rule refl :args (@t698)) % 0.39/0.89 (step @p117 :rule cong :premises (@p116 @p115) :args (@t699)) % 0.39/0.89 (step @p118 :rule refl :args (@t704)) % 0.39/0.89 (step @p119 :rule cong :premises (@p118 @p117) :args (@t705)) % 0.39/0.89 (step @p120 :rule refl :args (@t707)) % 0.39/0.89 (step @p121 :rule cong :premises (@p120 @p119) :args (@t708)) % 0.39/0.89 (step @p122 :rule refl :args (@t709)) % 0.39/0.89 (step @p123 :rule cong :premises (@p122 @p121) :args (@t710)) % 0.39/0.89 (step @p124 :rule refl :args (@t711)) % 0.39/0.89 (step @p125 :rule cong :premises (@p124 @p123) :args (@t712)) % 0.39/0.89 (step @p126 :rule refl :args (@t715)) % 0.39/0.89 (step @p127 :rule cong :premises (@p126 @p125) :args (@t716)) % 0.39/0.89 (step @p128 :rule refl :args (@t723)) % 0.39/0.89 (step @p129 :rule cong :premises (@p128 @p127) :args (@t724)) % 0.39/0.89 (step @p130 :rule refl :args (@t728)) % 0.39/0.89 (step @p131 :rule cong :premises (@p130 @p129) :args (@t729)) % 0.39/0.89 (step @p132 :rule refl :args (@t735)) % 0.39/0.89 (step @p133 :rule cong :premises (@p132 @p131) :args (@t736)) % 0.39/0.89 (step @p134 :rule refl :args (@t737)) % 0.39/0.89 (step @p135 :rule cong :premises (@p134 @p133) :args (@t738)) % 0.39/0.89 (step @p136 :rule refl :args (@t739)) % 0.39/0.89 (step @p137 :rule cong :premises (@p136 @p135) :args (@t740)) % 0.39/0.89 (step @p138 :rule refl :args (@t742)) % 0.39/0.89 (step @p139 :rule cong :premises (@p138 @p137) :args (@t743)) % 0.39/0.89 (step @p140 :rule cong :premises (@p138 @p139) :args (@t744)) % 0.39/0.89 (step @p141 :rule refl :args (@t747)) % 0.39/0.89 (step @p142 :rule cong :premises (@p141 @p140) :args (@t748)) % 0.39/0.89 (step @p143 :rule refl :args (@t752)) % 0.39/0.89 (step @p144 :rule cong :premises (@p143 @p142) :args (@t753)) % 0.39/0.89 (step @p145 :rule refl :args (@t756)) % 0.39/0.89 (step @p146 :rule cong :premises (@p145 @p144) :args (@t757)) % 0.39/0.89 (step @p147 :rule cong :premises (@p145 @p146) :args (@t758)) % 0.39/0.89 (step @p148 :rule refl :args (@t760)) % 0.39/0.89 (step @p149 :rule cong :premises (@p148 @p147) :args (@t761)) % 0.39/0.89 (step @p150 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 0.39/0.89 (step @p151 :rule refl :args (@t762)) % 0.39/0.89 (step @p152 :rule refl :args (tptp.emptyset)) % 0.39/0.89 (step @p153 :rule cong :premises (@p152 @p151) :args (@t763)) % 0.39/0.89 (step @p154 :rule trans :premises (@p153 @p150)) % 0.39/0.89 (step @p155 :rule refl :args (@t49)) % 0.39/0.89 (step @p156 :rule ho_cong :premises (@p155 @p151)) % 0.39/0.89 (step @p157 :rule cong :premises (@p156 @p154) :args ((= (_ @t49 @t762) @t763))) % 0.39/0.89 (step @p158 :rule symm :premises (@p157)) % 0.39/0.89 (step @p159 :rule refl :args (@t221)) % 0.39/0.89 (step @p160 :rule eq_resolve :premises (@p159 @p158)) % 0.39/0.89 (step @p161 :rule refl :args (@t220)) % 0.39/0.89 (step @p162 :rule cong :premises (@p161 @p151) :args ((= @t220 @t762))) % 0.39/0.89 (step @p163 :rule symm :premises (@p162)) % 0.39/0.89 (step @p164 :rule eq_resolve :premises (@p161 @p163)) % 0.39/0.89 (step @p165 :rule refl :args (@t49)) % 0.39/0.89 (step @p166 :rule ho_cong :premises (@p165 @p164)) % 0.39/0.89 (step @p167 :rule trans :premises (@p166 @p160)) % 0.39/0.89 (step @p168 :rule cong :premises (@p167 @p149) :args (@t764)) % 0.39/0.89 (step @p169 :rule refl :args (@t767)) % 0.39/0.89 (step @p170 :rule cong :premises (@p169 @p168) :args (@t768)) % 0.39/0.89 (step @p171 :rule refl :args (@t772)) % 0.39/0.89 (step @p172 :rule cong :premises (@p171 @p170) :args (@t773)) % 0.39/0.89 (step @p173 :rule refl :args (@t774)) % 0.39/0.89 (step @p174 :rule cong :premises (@p173 @p172) :args (@t775)) % 0.39/0.89 (step @p175 :rule cong :premises (@p126 @p174) :args (@t776)) % 0.39/0.89 (step @p176 :rule refl :args (@t778)) % 0.39/0.89 (step @p177 :rule cong :premises (@p176 @p175) :args (@t779)) % 0.39/0.89 (step @p178 :rule refl :args (@t780)) % 0.39/0.89 (step @p179 :rule cong :premises (@p178 @p177) :args (@t781)) % 0.39/0.89 (step @p180 :rule cong :premises (@p178 @p179) :args (@t782)) % 0.39/0.89 (step @p181 :rule refl :args (@t784)) % 0.39/0.89 (step @p182 :rule cong :premises (@p181 @p180) :args (@t785)) % 0.39/0.89 (step @p183 :rule refl :args (@t791)) % 0.39/0.89 (step @p184 :rule cong :premises (@p183 @p182) :args (@t792)) % 0.39/0.89 (step @p185 :rule refl :args (@t793)) % 0.39/0.89 (step @p186 :rule cong :premises (@p185 @p184) :args (@t794)) % 0.39/0.89 (step @p187 :rule cong :premises (@p185 @p186) :args (@t795)) % 0.39/0.89 (step @p188 :rule cong :premises (@p185 @p187) :args (@t796)) % 0.39/0.89 (step @p189 :rule refl :args (@t798)) % 0.39/0.89 (step @p190 :rule cong :premises (@p189 @p188) :args (@t799)) % 0.39/0.89 (step @p191 :rule refl :args (@t801)) % 0.39/0.89 (step @p192 :rule cong :premises (@p191 @p190) :args (@t802)) % 0.39/0.89 (step @p193 :rule refl :args (@t803)) % 0.39/0.89 (step @p194 :rule cong :premises (@p193 @p192) :args (@t804)) % 0.39/0.89 (step @p195 :rule refl :args (@t805)) % 0.39/0.89 (step @p196 :rule cong :premises (@p195 @p194) :args (@t806)) % 0.39/0.89 (step @p197 :rule refl :args (@t811)) % 0.39/0.89 (step @p198 :rule cong :premises (@p197 @p196) :args (@t812)) % 0.39/0.89 (step @p199 :rule refl :args (@t863)) % 0.39/0.89 (step @p200 :rule cong :premises (@p199 @p198) :args (@t864)) % 0.39/0.89 (step @p201 :rule refl :args (@t871)) % 0.39/0.89 (step @p202 :rule cong :premises (@p201 @p200) :args (@t872)) % 0.39/0.89 (step @p203 :rule refl :args (@t885)) % 0.39/0.89 (step @p204 :rule cong :premises (@p203 @p202) :args (@t886)) % 0.39/0.89 (step @p205 :rule refl :args (@t900)) % 0.39/0.89 (step @p206 :rule cong :premises (@p205 @p204) :args (@t901)) % 0.39/0.89 (step @p207 :rule refl :args (@t903)) % 0.39/0.89 (step @p208 :rule cong :premises (@p207 @p206) :args (@t904)) % 0.39/0.89 (step @p209 :rule refl :args (@t905)) % 0.39/0.89 (step @p210 :rule refl :args (@t50)) % 0.39/0.89 (step @p211 :rule cong :premises (@p210 @p209) :args ((= @t50 @t905))) % 0.39/0.89 (step @p212 :rule symm :premises (@p211)) % 0.39/0.89 (step @p213 :rule eq_resolve :premises (@p210 @p212)) % 0.39/0.89 (step @p214 :rule cong :premises (@p213 @p208) :args (@t906)) % 0.39/0.89 (step @p215 :rule refl :args (@t907)) % 0.39/0.89 (step @p216 :rule cong :premises (@p215 @p214) :args (@t908)) % 0.39/0.89 (step @p217 :rule refl :args (@t909)) % 0.39/0.89 (step @p218 :rule cong :premises (@p217 @p216) :args (@t910)) % 0.39/0.89 (step @p219 :rule refl :args (@t912)) % 0.39/0.89 (step @p220 :rule cong :premises (@p219 @p218) :args (@t913)) % 0.39/0.89 (step @p221 :rule cong :premises (@p185 @p220) :args (@t914)) % 0.39/0.89 (step @p222 :rule refl :args (@t916)) % 0.39/0.89 (step @p223 :rule cong :premises (@p222 @p221) :args (@t917)) % 0.39/0.89 (step @p224 :rule cong :premises (@p223) :args ((not @t917))) % 0.39/0.89 (step @p225 :rule bool-impl-true2 :args (@t597)) % 0.39/0.89 (step @p226 :rule refl :args (@t599)) % 0.39/0.89 (step @p227 :rule cong :premises (@p226 @p225) :args (@t918)) % 0.39/0.89 (step @p228 :rule refl :args (@t603)) % 0.39/0.89 (step @p229 :rule cong :premises (@p228 @p227) :args (@t919)) % 0.39/0.89 (step @p230 :rule refl :args (@t604)) % 0.39/0.89 (step @p231 :rule cong :premises (@p230 @p229) :args (@t920)) % 0.39/0.89 (step @p232 :rule refl :args (@t605)) % 0.39/0.89 (step @p233 :rule cong :premises (@p232 @p231) :args (@t921)) % 0.39/0.89 (step @p234 :rule refl :args (@t607)) % 0.39/0.89 (step @p235 :rule cong :premises (@p234 @p233) :args (@t922)) % 0.39/0.89 (step @p236 :rule refl :args (@t610)) % 0.39/0.89 (step @p237 :rule cong :premises (@p236 @p235) :args (@t923)) % 0.39/0.89 (step @p238 :rule cong :premises (@p226 @p237) :args (@t924)) % 0.39/0.89 (step @p239 :rule cong :premises (@p226 @p238) :args (@t925)) % 0.39/0.89 (step @p240 :rule cong :premises (@p236 @p239) :args (@t926)) % 0.39/0.89 (step @p241 :rule refl :args (@t622)) % 0.39/0.89 (step @p242 :rule cong :premises (@p241 @p240) :args (@t927)) % 0.39/0.89 (step @p243 :rule refl :args (@t637)) % 0.39/0.89 (step @p244 :rule cong :premises (@p243 @p242) :args (@t928)) % 0.39/0.89 (step @p245 :rule refl :args (@t646)) % 0.39/0.89 (step @p246 :rule cong :premises (@p245 @p244) :args (@t929)) % 0.39/0.89 (step @p247 :rule bool-impl-true2 :args (@t929)) % 0.39/0.89 (step @p248 :rule trans :premises (@p247 @p246)) % 0.39/0.89 (step @p249 :rule bool-impl-true2 :args (@t929)) % 0.39/0.89 (step @p250 :rule refl :args (true)) % 0.39/0.89 (step @p251 :rule cong :premises (@p250 @p249) :args (@t930)) % 0.39/0.89 (step @p252 :rule trans :premises (@p251 @p248)) % 0.39/0.89 (step @p253 :rule cong :premises (@p250 @p249) :args (@t930)) % 0.39/0.89 (step @p254 :rule cong :premises (@p250 @p253) :args (@t931)) % 0.39/0.89 (step @p255 :rule trans :premises (@p254 @p252)) % 0.39/0.89 (step @p256 :rule cong :premises (@p250 @p253) :args (@t931)) % 0.39/0.89 (step @p257 :rule cong :premises (@p250 @p256) :args (@t932)) % 0.39/0.89 (step @p258 :rule trans :premises (@p257 @p255)) % 0.39/0.89 (step @p259 :rule cong :premises (@p250 @p256) :args (@t932)) % 0.39/0.89 (step @p260 :rule cong :premises (@p250 @p259) :args (@t933)) % 0.39/0.89 (step @p261 :rule trans :premises (@p260 @p258)) % 0.39/0.89 (step @p262 :rule refl :args (@t658)) % 0.39/0.89 (step @p263 :rule cong :premises (@p262 @p261) :args (@t934)) % 0.39/0.89 (step @p264 :rule cong :premises (@p245 @p263) :args (@t935)) % 0.39/0.89 (step @p265 :rule bool-impl-true2 :args (@t935)) % 0.39/0.89 (step @p266 :rule trans :premises (@p265 @p264)) % 0.39/0.89 (step @p267 :rule bool-impl-true2 :args (@t935)) % 0.39/0.89 (step @p268 :rule cong :premises (@p250 @p267) :args (@t936)) % 0.39/0.89 (step @p269 :rule trans :premises (@p268 @p266)) % 0.39/0.89 (step @p270 :rule refl :args (@t661)) % 0.39/0.89 (step @p271 :rule cong :premises (@p270 @p269) :args (@t937)) % 0.39/0.89 (step @p272 :rule refl :args (@t667)) % 0.39/0.89 (step @p273 :rule cong :premises (@p272 @p271) :args (@t938)) % 0.39/0.89 (step @p274 :rule bool-impl-true2 :args (@t938)) % 0.39/0.89 (step @p275 :rule trans :premises (@p274 @p273)) % 0.39/0.89 (step @p276 :rule bool-impl-true2 :args (@t938)) % 0.39/0.89 (step @p277 :rule cong :premises (@p250 @p276) :args (@t939)) % 0.39/0.89 (step @p278 :rule trans :premises (@p277 @p275)) % 0.39/0.89 (step @p279 :rule cong :premises (@p250 @p276) :args (@t939)) % 0.39/0.89 (step @p280 :rule cong :premises (@p250 @p279) :args (@t940)) % 0.39/0.89 (step @p281 :rule trans :premises (@p280 @p278)) % 0.39/0.89 (step @p282 :rule refl :args (@t670)) % 0.39/0.89 (step @p283 :rule cong :premises (@p282 @p281) :args (@t941)) % 0.39/0.89 (step @p284 :rule refl :args (@t672)) % 0.39/0.89 (step @p285 :rule cong :premises (@p284 @p283) :args (@t942)) % 0.39/0.89 (step @p286 :rule bool-impl-true2 :args (@t942)) % 0.39/0.89 (step @p287 :rule trans :premises (@p286 @p285)) % 0.39/0.89 (step @p288 :rule bool-impl-true2 :args (@t942)) % 0.39/0.89 (step @p289 :rule cong :premises (@p250 @p288) :args (@t943)) % 0.39/0.89 (step @p290 :rule trans :premises (@p289 @p287)) % 0.39/0.89 (step @p291 :rule cong :premises (@p250 @p288) :args (@t943)) % 0.39/0.89 (step @p292 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:rule not_implies_elim2 :premises (@p3515)) % 0.39/0.90 (step @p3517 :rule not_implies_elim2 :premises (@p3516)) % 0.39/0.90 (step @p3518 :rule not_implies_elim2 :premises (@p3517)) % 0.39/0.90 (step @p3519 :rule not_implies_elim2 :premises (@p3518)) % 0.39/0.90 (step @p3520 :rule not_implies_elim2 :premises (@p3519)) % 0.39/0.90 (step @p3521 :rule not_implies_elim2 :premises (@p3520)) % 0.39/0.90 (step @p3522 :rule not_implies_elim2 :premises (@p3521)) % 0.39/0.90 (step @p3523 :rule not_implies_elim2 :premises (@p3522)) % 0.39/0.90 (step @p3524 :rule not_implies_elim2 :premises (@p3523)) % 0.39/0.90 (step @p3525 :rule not_implies_elim2 :premises (@p3524)) % 0.39/0.90 (step @p3526 :rule not_implies_elim2 :premises (@p3525)) % 0.39/0.90 (step @p3527 :rule not_implies_elim2 :premises (@p3526)) % 0.39/0.90 (step @p3528 :rule not_implies_elim2 :premises (@p3527)) % 0.39/0.90 (step @p3529 :rule not_implies_elim2 :premises (@p3528)) % 0.39/0.90 (step @p3530 :rule not_implies_elim2 :premises (@p3529)) % 0.39/0.90 (step @p3531 :rule not_implies_elim2 :premises (@p3530)) % 0.39/0.90 (step @p3532 :rule not_implies_elim2 :premises (@p3531)) % 0.39/0.90 (step @p3533 :rule not_implies_elim2 :premises (@p3532)) % 0.39/0.90 (step @p3534 :rule not_implies_elim2 :premises (@p3533)) % 0.39/0.90 (step @p3535 :rule skolemize :premises (@p3534)) % 0.39/0.90 (step @p3536 :rule bool-eq-true :args (@t1727)) % 0.39/0.90 (step @p3537 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 0.39/0.90 (step @p3538 :rule bool-or-taut2 :args (false @t1728 false false)) % 0.39/0.90 (step @p3539 :rule cong :premises (@p3538) :args (@t1729)) % 0.39/0.90 (step @p3540 :rule trans :premises (@p3539 @p3537)) % 0.39/0.90 (step @p3541 :rule refl :args (@t1727)) % 0.39/0.90 (step @p3542 :rule cong :premises (@p3541 @p3540) :args ((= @t1727 @t1729))) % 0.39/0.90 (step @p3543 :rule trans :premises (@p3542 @p3536)) % 0.39/0.90 (step @p3544 :rule eq-symm :args (@t1729 @t1727)) % 0.39/0.90 (step @p3545 :rule trans :premises (@p3544 @p3543)) % 0.39/0.90 (step @p3546 :rule cong :premises (@p217 @p3545) :args ((=> @t909 @t1730))) % 0.39/0.90 (assume-push @p3554 @t909) % 0.39/0.90 (step @p3548 :rule instantiate :premises (@p3459) :args ((@list @t1726 @t1726))) % 0.39/0.90 (step-pop @p3555 :rule scope :premises (@p3548)) % 0.39/0.90 (step @p3549 :rule process_scope :premises (@p3555) :args (@t1730)) % 0.39/0.90 (step @p3551 :rule eq_resolve :premises (@p3549 @p3546)) % 0.39/0.90 (step @p3552 :rule implies_elim :premises (@p3551)) % 0.39/0.90 (step @p3553 false :rule chain_m_resolution :premises (@p3552 @p3535 @p3459) :args (false (@list true false) (@list @t1727 @t909))) % 0.39/0.90 ) % 0.39/0.90 % SZS output end Proof % 0.39/0.90 % cvc5 exiting %------------------------------------------------------------------------------