%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU585^1 : 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 : n017.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 08:52:18 AM UTC 2026 % Result : Theorem 0.40s 0.92s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU585^1 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n017.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:41:01 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.54 %----Proving TH0 % 0.40/0.92 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.92 % SZS status Theorem % 0.40/0.92 % SZS output start Proof % 0.40/0.92 ( % 0.40/0.92 (declare-sort $$unsorted 0) % 0.40/0.92 (declare-const tptp.emptyset $$unsorted) % 0.40/0.92 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.92 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.40/0.92 (declare-const tptp.binunionIR Bool) % 0.40/0.92 (declare-const tptp.upairset2IR Bool) % 0.40/0.92 (declare-const tptp.powersetsubset Bool) % 0.40/0.92 (declare-const tptp.setextsub Bool) % 0.40/0.92 (declare-const tptp.setadjoinSub2 Bool) % 0.40/0.92 (declare-const tptp.setadjoinSub Bool) % 0.40/0.92 (declare-const tptp.notequalI2 Bool) % 0.40/0.92 (declare-const tptp.notsubsetI Bool) % 0.40/0.92 (declare-const tptp.emptysetsubset Bool) % 0.40/0.92 (declare-const tptp.subsetI2 Bool) % 0.40/0.92 (declare-const tptp.powerset__Cong Bool) % 0.40/0.92 (declare-const tptp.setadjoin__Cong Bool) % 0.40/0.92 (declare-const tptp.emptyset__Cong Bool) % 0.40/0.92 (declare-const tptp.exu__Cong Bool) % 0.40/0.92 (declare-const tptp.in__Cong Bool) % 0.40/0.92 (declare-const tptp.inCongP Bool) % 0.40/0.92 (declare-const tptp.subsetE2 Bool) % 0.40/0.92 (declare-const tptp.exuI3 Bool) % 0.40/0.92 (declare-const tptp.subsetE Bool) % 0.40/0.92 (declare-const tptp.exuI1 Bool) % 0.40/0.92 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.40/0.92 (declare-const tptp.subsetI1 Bool) % 0.40/0.92 (declare-const tptp.quantDeMorgan3 Bool) % 0.40/0.92 (declare-const tptp.quantDeMorgan2 Bool) % 0.40/0.92 (declare-const tptp.sepSubset Bool) % 0.40/0.92 (declare-const tptp.dsetconstr__Cong Bool) % 0.40/0.92 (declare-const tptp.quantDeMorgan1 Bool) % 0.40/0.92 (declare-const tptp.sepInPowerset Bool) % 0.40/0.92 (declare-const tptp.vacuousDall Bool) % 0.40/0.92 (declare-const tptp.exuE3e Bool) % 0.40/0.92 (declare-const tptp.notequalI1 Bool) % 0.40/0.92 (declare-const tptp.emptysetE Bool) % 0.40/0.92 (declare-const tptp.omega__Cong Bool) % 0.40/0.92 (declare-const tptp.setadjoinIL Bool) % 0.40/0.92 (declare-const tptp.prop2setE Bool) % 0.40/0.92 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.40/0.92 (declare-const tptp.dsetconstrI Bool) % 0.40/0.92 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.40/0.92 (declare-const tptp.descrp Bool) % 0.40/0.92 (declare-const tptp.setext Bool) % 0.40/0.92 (declare-const tptp.nonemptyImpWitness Bool) % 0.40/0.92 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.40/0.92 (declare-const tptp.wellorderingAx Bool) % 0.40/0.92 (declare-const tptp.dsetconstrEL Bool) % 0.40/0.92 (declare-const tptp.prop2setI Bool) % 0.40/0.92 (declare-const tptp.emptyinPowerset Bool) % 0.40/0.92 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.92 (declare-const tptp.setextAx Bool) % 0.40/0.92 (declare-const tptp.binunionIL Bool) % 0.40/0.92 (declare-const tptp.setadjoinOr Bool) % 0.40/0.92 (declare-const tptp.subsetTrans Bool) % 0.40/0.92 (declare-const tptp.exuE3u Bool) % 0.40/0.92 (declare-const tptp.uniqinunit Bool) % 0.40/0.92 (declare-const tptp.subsetRefl Bool) % 0.40/0.92 (declare-const tptp.notinemptyset Bool) % 0.40/0.92 (declare-const tptp.setadjoinIR Bool) % 0.40/0.92 (declare-const tptp.exuE2 Bool) % 0.40/0.92 (declare-const tptp.foundationAx Bool) % 0.40/0.92 (declare-const tptp.emptysetimpfalse Bool) % 0.40/0.92 (declare-const tptp.notdallE Bool) % 0.40/0.92 (declare-const tptp.dsetconstrER Bool) % 0.40/0.92 (declare-const tptp.eqimpsubset1 Bool) % 0.40/0.92 (declare-const tptp.emptyInPowerset Bool) % 0.40/0.92 (declare-const tptp.exuEu Bool) % 0.40/0.92 (declare-const tptp.setadjoinAx Bool) % 0.40/0.92 (declare-const tptp.subsetemptysetimpeq Bool) % 0.40/0.92 (declare-const tptp.nonemptyE1 Bool) % 0.40/0.92 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.40/0.92 (declare-const tptp.eqimpsubset2 Bool) % 0.40/0.92 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.40/0.92 (declare-const tptp.powersetAx Bool) % 0.40/0.92 (declare-const tptp.setoftrueEq Bool) % 0.40/0.92 (declare-const tptp.setunionAx Bool) % 0.40/0.92 (declare-const tptp.omega $$unsorted) % 0.40/0.92 (declare-const tptp.omegaIndAx Bool) % 0.40/0.92 (declare-const tptp.quantDeMorgan4 Bool) % 0.40/0.92 (declare-const tptp.powersetI Bool) % 0.40/0.92 (declare-const tptp.replAx Bool) % 0.40/0.92 (declare-const tptp.upairsetE Bool) % 0.40/0.92 (declare-const tptp.omega0Ax Bool) % 0.40/0.92 (declare-const tptp.emptyI Bool) % 0.40/0.92 (declare-const tptp.noeltsimpempty Bool) % 0.40/0.92 (declare-const tptp.eqinunit Bool) % 0.40/0.92 (declare-const tptp.powersetI1 Bool) % 0.40/0.92 (declare-const tptp.upairsetIL Bool) % 0.40/0.92 (declare-const tptp.nonemptyI Bool) % 0.40/0.92 (declare-const tptp.emptysetAx Bool) % 0.40/0.92 (declare-const tptp.nonemptyI1 Bool) % 0.40/0.92 (declare-const tptp.descr__Cong Bool) % 0.40/0.92 (declare-const tptp.emptyinunitempty Bool) % 0.40/0.92 (declare-const tptp.setadjoinE Bool) % 0.40/0.92 (declare-const tptp.prop2set2propI Bool) % 0.40/0.92 (declare-const tptp.omegaSAx Bool) % 0.40/0.92 (declare-const tptp.powersetE Bool) % 0.40/0.92 (declare-const tptp.notdexE Bool) % 0.40/0.92 (declare-const tptp.setunionI Bool) % 0.40/0.92 (declare-const tptp.exuE1 Bool) % 0.40/0.92 (declare-const tptp.setunionE Bool) % 0.40/0.92 (declare-const tptp.exuI2 Bool) % 0.40/0.92 (declare-const tptp.subPowSU Bool) % 0.40/0.92 (declare-const tptp.notinsingleton Bool) % 0.40/0.92 (declare-const tptp.subset2powerset Bool) % 0.40/0.92 (declare-const tptp.setbeta Bool) % 0.40/0.92 (declare-const tptp.singletonsswitch Bool) % 0.40/0.92 (declare-const tptp.powersetE1 Bool) % 0.40/0.92 (declare-const tptp.setunion__Cong Bool) % 0.40/0.92 (declare-const tptp.upairsetIR Bool) % 0.40/0.92 (declare-const tptp.inPowerset Bool) % 0.40/0.92 (declare-const tptp.emptyE1 Bool) % 0.40/0.92 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.40/0.92 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.40/0.92 (define tptp.binunion () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (lambda (@list _let_2 _let_1) (_ tptp.setunion (_ (_ tptp.setadjoin _let_2) (_ (_ tptp.setadjoin _let_1) tptp.emptyset))))))) % 0.40/0.92 (define @t1 () (@var "B" $$unsorted)) % 0.40/0.92 (define @t2 () (@var "A" $$unsorted)) % 0.40/0.92 (define @t3 () (= @t2 @t1)) % 0.40/0.92 (define @t4 () (@var "Xx" $$unsorted)) % 0.40/0.92 (define @t5 () (_ tptp.in @t4)) % 0.40/0.92 (define @t6 () (_ @t5 @t1)) % 0.40/0.92 (define @t7 () (_ @t5 @t2)) % 0.40/0.92 (define @t8 () (= @t7 @t6)) % 0.40/0.92 (define @t9 () (@list @t4)) % 0.40/0.92 (define @t10 () (forall @t9 @t8)) % 0.40/0.92 (define @t11 () (=> @t10 @t3)) % 0.40/0.92 (define @t12 () (@list @t2 @t1)) % 0.40/0.92 (define @t13 () (forall @t12 @t11)) % 0.40/0.92 (define @t14 () (= tptp.setextAx @t13)) % 0.40/0.92 (define @t15 () (_ @t5 tptp.emptyset)) % 0.40/0.92 (define @t16 () (not @t15)) % 0.40/0.92 (define @t17 () (forall @t9 @t16)) % 0.40/0.92 (define @t18 () (= tptp.emptysetAx @t17)) % 0.40/0.92 (define @t19 () (@var "Xy" $$unsorted)) % 0.40/0.92 (define @t20 () (_ tptp.in @t19)) % 0.40/0.92 (define @t21 () (_ @t20 @t2)) % 0.40/0.92 (define @t22 () (= @t19 @t4)) % 0.40/0.92 (define @t23 () (or @t22 @t21)) % 0.40/0.92 (define @t24 () (_ tptp.setadjoin @t4)) % 0.40/0.92 (define @t25 () (_ @t24 @t2)) % 0.40/0.92 (define @t26 () (_ @t20 @t25)) % 0.40/0.92 (define @t27 () (= @t26 @t23)) % 0.40/0.92 (define @t28 () (@list @t4 @t2 @t19)) % 0.40/0.92 (define @t29 () (forall @t28 @t27)) % 0.40/0.92 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.40/0.92 (define @t31 () (=> @t6 @t7)) % 0.40/0.92 (define @t32 () (forall @t9 @t31)) % 0.40/0.92 (define @t33 () (_ tptp.powerset @t2)) % 0.40/0.92 (define @t34 () (_ tptp.in @t1)) % 0.40/0.92 (define @t35 () (_ @t34 @t33)) % 0.40/0.92 (define @t36 () (= @t35 @t32)) % 0.40/0.92 (define @t37 () (forall @t12 @t36)) % 0.40/0.92 (define @t38 () (= tptp.powersetAx @t37)) % 0.40/0.92 (define @t39 () (_ @t34 @t2)) % 0.40/0.92 (define @t40 () (and @t6 @t39)) % 0.40/0.92 (define @t41 () (@list @t1)) % 0.40/0.92 (define @t42 () (exists @t41 @t40)) % 0.40/0.92 (define @t43 () (_ tptp.setunion @t2)) % 0.40/0.92 (define @t44 () (_ @t5 @t43)) % 0.40/0.92 (define @t45 () (= @t44 @t42)) % 0.40/0.92 (define @t46 () (@list @t2 @t4)) % 0.40/0.92 (define @t47 () (forall @t46 @t45)) % 0.40/0.92 (define @t48 () (= tptp.setunionAx @t47)) % 0.40/0.92 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.40/0.92 (define @t50 () (_ @t49 tptp.omega)) % 0.40/0.92 (define @t51 () (_ @t24 @t4)) % 0.40/0.92 (define @t52 () (_ tptp.in @t51)) % 0.40/0.92 (define @t53 () (_ @t52 tptp.omega)) % 0.40/0.92 (define @t54 () (_ @t5 tptp.omega)) % 0.40/0.92 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.40/0.92 (define @t56 () (= tptp.omegaSAx @t55)) % 0.40/0.92 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.40/0.92 (define @t58 () (_ @t52 @t2)) % 0.40/0.92 (define @t59 () (and @t54 @t7)) % 0.40/0.92 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.40/0.92 (define @t61 () (_ @t49 @t2)) % 0.40/0.92 (define @t62 () (and @t61 @t60)) % 0.40/0.92 (define @t63 () (=> @t62 @t57)) % 0.40/0.92 (define @t64 () (@list @t2)) % 0.40/0.92 (define @t65 () (forall @t64 @t63)) % 0.40/0.92 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.40/0.92 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.40/0.92 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.40/0.92 (define @t69 () (and @t21 @t68)) % 0.40/0.92 (define @t70 () (@list @t19)) % 0.40/0.92 (define @t71 () (exists @t70 @t69)) % 0.40/0.92 (define @t72 () (= @t6 @t71)) % 0.40/0.92 (define @t73 () (forall @t9 @t72)) % 0.40/0.92 (define @t74 () (exists @t41 @t73)) % 0.40/0.92 (define @t75 () (_ @t67 @t4)) % 0.40/0.92 (define @t76 () (_ @t75 @t19)) % 0.40/0.92 (define @t77 () (lambda @t70 @t76)) % 0.40/0.92 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.40/0.92 (define @t79 () (forall @t9 @t78)) % 0.40/0.92 (define @t80 () (=> @t79 @t74)) % 0.40/0.92 (define @t81 () (@list @t67 @t2)) % 0.40/0.92 (define @t82 () (forall @t81 @t80)) % 0.40/0.92 (define @t83 () (= tptp.replAx @t82)) % 0.40/0.92 (define @t84 () (and @t6 @t7)) % 0.40/0.92 (define @t85 () (exists @t9 @t84)) % 0.40/0.92 (define @t86 () (not @t85)) % 0.40/0.92 (define @t87 () (and @t39 @t86)) % 0.40/0.92 (define @t88 () (exists @t41 @t87)) % 0.40/0.92 (define @t89 () (exists @t9 @t7)) % 0.40/0.92 (define @t90 () (=> @t89 @t88)) % 0.40/0.92 (define @t91 () (forall @t64 @t90)) % 0.40/0.92 (define @t92 () (= tptp.foundationAx @t91)) % 0.40/0.92 (define @t93 () (@var "E" $$unsorted)) % 0.40/0.92 (define @t94 () (_ @t5 @t93)) % 0.40/0.92 (define @t95 () (@var "D" $$unsorted)) % 0.40/0.92 (define @t96 () (_ @t20 @t95)) % 0.40/0.92 (define @t97 () (_ @t20 @t93)) % 0.40/0.92 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.40/0.92 (define @t99 () (or @t98 @t94)) % 0.40/0.92 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.40/0.92 (define @t101 () (=> @t100 @t99)) % 0.40/0.92 (define @t102 () (@list @t93)) % 0.40/0.92 (define @t103 () (forall @t102 @t101)) % 0.40/0.92 (define @t104 () (@var "C" $$unsorted)) % 0.40/0.92 (define @t105 () (_ @t20 @t104)) % 0.40/0.92 (define @t106 () (and @t96 @t105)) % 0.40/0.92 (define @t107 () (exists @t70 @t106)) % 0.40/0.92 (define @t108 () (not @t107)) % 0.40/0.92 (define @t109 () (_ @t5 @t104)) % 0.40/0.92 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.40/0.92 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.40/0.92 (define @t112 () (@list @t95 @t4)) % 0.40/0.92 (define @t113 () (exists @t112 @t111)) % 0.40/0.92 (define @t114 () (exists @t9 @t109)) % 0.40/0.92 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.40/0.92 (define @t116 () (and @t115 @t114)) % 0.40/0.92 (define @t117 () (=> @t116 @t113)) % 0.40/0.92 (define @t118 () (@list @t104)) % 0.40/0.92 (define @t119 () (forall @t118 @t117)) % 0.40/0.92 (define @t120 () (_ @t5 @t95)) % 0.40/0.92 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.40/0.92 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.40/0.92 (define @t123 () (or @t122 @t121)) % 0.40/0.92 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.40/0.92 (define @t125 () (and @t124 @t110)) % 0.40/0.92 (define @t126 () (=> @t125 @t123)) % 0.40/0.92 (define @t127 () (@list @t104 @t95)) % 0.40/0.92 (define @t128 () (forall @t127 @t126)) % 0.40/0.92 (define @t129 () (= @t4 @t19)) % 0.40/0.92 (define @t130 () (= @t109 @t105)) % 0.40/0.92 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.40/0.92 (define @t132 () (=> @t131 @t129)) % 0.40/0.92 (define @t133 () (and @t7 @t21)) % 0.40/0.92 (define @t134 () (=> @t133 @t132)) % 0.40/0.92 (define @t135 () (@list @t4 @t19)) % 0.40/0.92 (define @t136 () (forall @t135 @t134)) % 0.40/0.92 (define @t137 () (=> @t124 @t115)) % 0.40/0.92 (define @t138 () (forall @t118 @t137)) % 0.40/0.92 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.40/0.92 (define @t140 () (exists @t41 @t139)) % 0.40/0.92 (define @t141 () (forall @t64 @t140)) % 0.40/0.92 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.40/0.92 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.40/0.92 (define @t144 () (_ @t143 @t4)) % 0.40/0.92 (define @t145 () (lambda @t9 @t144)) % 0.40/0.92 (define @t146 () (_ tptp.descr @t145)) % 0.40/0.92 (define @t147 () (_ @t143 @t146)) % 0.40/0.92 (define @t148 () (_ tptp.exu @t145)) % 0.40/0.92 (define @t149 () (=> @t148 @t147)) % 0.40/0.92 (define @t150 () (@list @t143)) % 0.40/0.92 (define @t151 () (forall @t150 @t149)) % 0.40/0.92 (define @t152 () (= tptp.descrp @t151)) % 0.40/0.92 (define @t153 () (_ @t143 @t19)) % 0.40/0.92 (define @t154 () (lambda @t70 @t153)) % 0.40/0.92 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.40/0.92 (define @t156 () (_ @t155 @t154)) % 0.40/0.92 (define @t157 () (_ @t5 @t156)) % 0.40/0.92 (define @t158 () (=> @t144 @t157)) % 0.40/0.92 (define @t159 () (@list @t2 @t143 @t4)) % 0.40/0.92 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.40/0.92 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.40/0.92 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.40/0.92 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.40/0.92 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.40/0.92 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.40/0.92 (define @t166 () (=> @t153 @t129)) % 0.40/0.92 (define @t167 () (forall @t70 @t166)) % 0.40/0.92 (define @t168 () (and @t144 @t167)) % 0.40/0.92 (define @t169 () (exists @t9 @t168)) % 0.40/0.92 (define @t170 () (=> @t148 @t169)) % 0.40/0.92 (define @t171 () (forall @t150 @t170)) % 0.40/0.92 (define @t172 () (= tptp.exuE1 @t171)) % 0.40/0.92 (define @t173 () (@var "Xphi" Bool)) % 0.40/0.92 (define @t174 () (_ tptp.prop2set @t173)) % 0.40/0.92 (define @t175 () (_ @t5 @t174)) % 0.40/0.92 (define @t176 () (@list @t173 @t4)) % 0.40/0.92 (define @t177 () (forall @t176 (=> @t175 @t173))) % 0.40/0.92 (define @t178 () (= tptp.prop2setE @t177)) % 0.40/0.92 (define @t179 () (@list @t173)) % 0.40/0.92 (define @t180 () (forall @t179 @t173)) % 0.40/0.92 (define @t181 () (=> @t15 @t180)) % 0.40/0.92 (define @t182 () (forall @t9 @t181)) % 0.40/0.92 (define @t183 () (= tptp.emptysetE @t182)) % 0.40/0.92 (define @t184 () (forall @t9 (=> @t15 false))) % 0.40/0.92 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 0.40/0.92 (define @t186 () (exists @t9 @t144)) % 0.40/0.92 (define @t187 () (=> @t148 @t186)) % 0.40/0.92 (define @t188 () (forall @t150 @t187)) % 0.40/0.92 (define @t189 () (= tptp.exuE3e @t188)) % 0.40/0.92 (define @t190 () (=> @t32 @t3)) % 0.40/0.92 (define @t191 () (=> @t7 @t6)) % 0.40/0.92 (define @t192 () (forall @t9 @t191)) % 0.40/0.92 (define @t193 () (=> @t192 @t190)) % 0.40/0.92 (define @t194 () (forall @t12 @t193)) % 0.40/0.92 (define @t195 () (= tptp.setext @t194)) % 0.40/0.92 (define @t196 () (= @t2 tptp.emptyset)) % 0.40/0.92 (define @t197 () (not @t7)) % 0.40/0.92 (define @t198 () (forall @t9 @t197)) % 0.40/0.92 (define @t199 () (=> @t198 @t196)) % 0.40/0.92 (define @t200 () (forall @t64 @t199)) % 0.40/0.92 (define @t201 () (= tptp.emptyI @t200)) % 0.40/0.92 (define @t202 () (=> @t7 (= @t157 @t144))) % 0.40/0.92 (define @t203 () (forall @t159 @t202)) % 0.40/0.92 (define @t204 () (= tptp.setbeta @t203)) % 0.40/0.92 (define @t205 () (_ tptp.nonempty @t2)) % 0.40/0.92 (define @t206 () (=> @t205 @t89)) % 0.40/0.92 (define @t207 () (forall @t64 @t206)) % 0.40/0.92 (define @t208 () (= tptp.nonemptyE1 @t207)) % 0.40/0.92 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 0.40/0.92 (define @t210 () (=> @t7 @t209)) % 0.40/0.92 (define @t211 () (forall @t159 @t210)) % 0.40/0.92 (define @t212 () (= tptp.nonemptyI @t211)) % 0.40/0.92 (define @t213 () (=> @t89 @t205)) % 0.40/0.92 (define @t214 () (forall @t64 @t213)) % 0.40/0.92 (define @t215 () (= tptp.nonemptyI1 @t214)) % 0.40/0.92 (define @t216 () (_ @t24 @t19)) % 0.40/0.92 (define @t217 () (_ @t5 @t216)) % 0.40/0.92 (define @t218 () (forall @t135 @t217)) % 0.40/0.92 (define @t219 () (= tptp.setadjoinIL @t218)) % 0.40/0.92 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.40/0.92 (define @t221 () (_ @t49 @t220)) % 0.40/0.92 (define @t222 () (forall @t28 (=> @t21 @t26))) % 0.40/0.92 (define @t223 () (= tptp.setadjoinIR @t222)) % 0.40/0.92 (define @t224 () (=> @t21 @t173)) % 0.40/0.92 (define @t225 () (=> @t224 @t173)) % 0.40/0.92 (define @t226 () (=> @t22 @t173)) % 0.40/0.92 (define @t227 () (=> @t226 @t225)) % 0.40/0.92 (define @t228 () (forall @t179 @t227)) % 0.40/0.92 (define @t229 () (=> @t26 @t228)) % 0.40/0.92 (define @t230 () (forall @t28 @t229)) % 0.40/0.92 (define @t231 () (= tptp.setadjoinE @t230)) % 0.40/0.92 (define @t232 () (=> @t26 @t23)) % 0.40/0.92 (define @t233 () (forall @t28 @t232)) % 0.40/0.92 (define @t234 () (= tptp.setadjoinOr @t233)) % 0.40/0.92 (define @t235 () (lambda @t9 true)) % 0.40/0.92 (define @t236 () (= (_ @t155 @t235) @t2)) % 0.40/0.92 (define @t237 () (forall @t64 @t236)) % 0.40/0.92 (define @t238 () (= tptp.setoftrueEq @t237)) % 0.40/0.92 (define @t239 () (=> @t32 @t35)) % 0.40/0.92 (define @t240 () (forall @t12 @t239)) % 0.40/0.92 (define @t241 () (= tptp.powersetI @t240)) % 0.40/0.92 (define @t242 () (_ @t49 @t33)) % 0.40/0.92 (define @t243 () (forall @t64 @t242)) % 0.40/0.92 (define @t244 () (= tptp.emptyinPowerset @t243)) % 0.40/0.92 (define @t245 () (@list @t2 @t1 @t4)) % 0.40/0.92 (define @t246 () (forall @t245 (=> @t35 @t31))) % 0.40/0.92 (define @t247 () (= tptp.powersetE @t246)) % 0.40/0.92 (define @t248 () (=> @t39 @t44)) % 0.40/0.92 (define @t249 () (@list @t2 @t4 @t1)) % 0.40/0.92 (define @t250 () (forall @t249 (=> @t6 @t248))) % 0.40/0.92 (define @t251 () (= tptp.setunionI @t250)) % 0.40/0.92 (define @t252 () (=> @t39 @t173)) % 0.40/0.92 (define @t253 () (forall @t41 (=> @t6 @t252))) % 0.40/0.92 (define @t254 () (=> @t253 @t173)) % 0.40/0.92 (define @t255 () (forall @t179 @t254)) % 0.40/0.92 (define @t256 () (=> @t44 @t255)) % 0.40/0.92 (define @t257 () (forall @t46 @t256)) % 0.40/0.92 (define @t258 () (= tptp.setunionE @t257)) % 0.40/0.92 (define @t259 () (_ tptp.powerset @t43)) % 0.40/0.92 (define @t260 () (_ @t5 @t259)) % 0.40/0.92 (define @t261 () (forall @t46 (=> @t7 @t260))) % 0.40/0.92 (define @t262 () (= tptp.subPowSU @t261)) % 0.40/0.92 (define @t263 () (= @t153 @t22)) % 0.40/0.92 (define @t264 () (forall @t70 @t263)) % 0.40/0.92 (define @t265 () (exists @t9 @t264)) % 0.40/0.92 (define @t266 () (=> @t148 @t265)) % 0.40/0.92 (define @t267 () (forall @t150 @t266)) % 0.40/0.92 (define @t268 () (= tptp.exuE2 @t267)) % 0.40/0.92 (define @t269 () (and @t7 true)) % 0.40/0.92 (define @t270 () (exists @t9 @t269)) % 0.40/0.92 (define @t271 () (=> @t205 @t270)) % 0.40/0.92 (define @t272 () (forall @t64 @t271)) % 0.40/0.92 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 0.40/0.92 (define @t274 () (_ tptp.setadjoin @t19)) % 0.40/0.92 (define @t275 () (_ @t274 tptp.emptyset)) % 0.40/0.92 (define @t276 () (_ @t5 @t275)) % 0.40/0.92 (define @t277 () (forall @t135 (=> @t276 @t129))) % 0.40/0.92 (define @t278 () (= tptp.uniqinunit @t277)) % 0.40/0.92 (define @t279 () (_ @t24 tptp.emptyset)) % 0.40/0.92 (define @t280 () (_ @t20 @t279)) % 0.40/0.92 (define @t281 () (not @t280)) % 0.40/0.92 (define @t282 () (not @t129)) % 0.40/0.92 (define @t283 () (forall @t135 (=> @t282 @t281))) % 0.40/0.92 (define @t284 () (= tptp.notinsingleton @t283)) % 0.40/0.92 (define @t285 () (forall @t135 (=> @t129 @t276))) % 0.40/0.92 (define @t286 () (= tptp.eqinunit @t285)) % 0.40/0.92 (define @t287 () (forall @t135 (=> @t276 @t280))) % 0.40/0.92 (define @t288 () (= tptp.singletonsswitch @t287)) % 0.40/0.92 (define @t289 () (@var "Xz" $$unsorted)) % 0.40/0.92 (define @t290 () (or (= @t289 @t4) (= @t289 @t19))) % 0.40/0.92 (define @t291 () (_ @t24 @t275)) % 0.40/0.92 (define @t292 () (_ tptp.in @t289)) % 0.40/0.92 (define @t293 () (_ @t292 @t291)) % 0.40/0.92 (define @t294 () (=> @t293 @t290)) % 0.40/0.92 (define @t295 () (@list @t4 @t19 @t289)) % 0.40/0.92 (define @t296 () (forall @t295 @t294)) % 0.40/0.92 (define @t297 () (= tptp.upairsetE @t296)) % 0.40/0.92 (define @t298 () (_ @t5 @t291)) % 0.40/0.92 (define @t299 () (forall @t135 @t298)) % 0.40/0.92 (define @t300 () (= tptp.upairsetIL @t299)) % 0.40/0.92 (define @t301 () (_ @t20 @t291)) % 0.40/0.92 (define @t302 () (forall @t135 @t301)) % 0.40/0.92 (define @t303 () (= tptp.upairsetIR @t302)) % 0.40/0.92 (define @t304 () (_ @t155 @t145)) % 0.40/0.92 (define @t305 () (= @t304 tptp.emptyset)) % 0.40/0.92 (define @t306 () (and @t7 @t144)) % 0.40/0.92 (define @t307 () (exists @t9 @t306)) % 0.40/0.92 (define @t308 () (=> @t307 (=> @t305 false))) % 0.40/0.92 (define @t309 () (@list @t2 @t143)) % 0.40/0.92 (define @t310 () (forall @t309 @t308)) % 0.40/0.92 (define @t311 () (= tptp.emptyE1 @t310)) % 0.40/0.92 (define @t312 () (@list @t143 @t4)) % 0.40/0.92 (define @t313 () (forall @t312 (=> @t15 @t144))) % 0.40/0.92 (define @t314 () (= tptp.vacuousDall @t313)) % 0.40/0.92 (define @t315 () (not @t144)) % 0.40/0.92 (define @t316 () (and @t7 @t315)) % 0.40/0.92 (define @t317 () (exists @t9 @t316)) % 0.40/0.92 (define @t318 () (forall @t9 (=> @t7 @t144))) % 0.40/0.92 (define @t319 () (not @t318)) % 0.40/0.92 (define @t320 () (=> @t319 @t317)) % 0.40/0.92 (define @t321 () (forall @t309 @t320)) % 0.40/0.92 (define @t322 () (= tptp.quantDeMorgan1 @t321)) % 0.40/0.92 (define @t323 () (not @t307)) % 0.40/0.92 (define @t324 () (forall @t9 (=> @t7 @t315))) % 0.40/0.92 (define @t325 () (=> @t324 @t323)) % 0.40/0.92 (define @t326 () (forall @t309 @t325)) % 0.40/0.92 (define @t327 () (= tptp.quantDeMorgan2 @t326)) % 0.40/0.92 (define @t328 () (=> @t323 @t324)) % 0.40/0.92 (define @t329 () (forall @t309 @t328)) % 0.40/0.92 (define @t330 () (= tptp.quantDeMorgan3 @t329)) % 0.40/0.92 (define @t331 () (=> @t317 @t319)) % 0.40/0.92 (define @t332 () (forall @t309 @t331)) % 0.40/0.92 (define @t333 () (= tptp.quantDeMorgan4 @t332)) % 0.40/0.92 (define @t334 () (_ @t49 @t174)) % 0.40/0.92 (define @t335 () (forall @t179 (=> @t173 @t334))) % 0.40/0.92 (define @t336 () (= tptp.prop2setI @t335)) % 0.40/0.92 (define @t337 () (_ tptp.set2prop @t174)) % 0.40/0.92 (define @t338 () (forall @t179 (=> @t173 @t337))) % 0.40/0.92 (define @t339 () (= tptp.prop2set2propI @t338)) % 0.40/0.92 (define @t340 () (=> @t169 @t148)) % 0.40/0.92 (define @t341 () (forall @t150 @t340)) % 0.40/0.92 (define @t342 () (= tptp.exuI1 @t341)) % 0.40/0.92 (define @t343 () (forall @t135 (=> @t144 @t166))) % 0.40/0.92 (define @t344 () (=> @t343 @t148)) % 0.40/0.92 (define @t345 () (=> @t186 @t344)) % 0.40/0.92 (define @t346 () (forall @t150 @t345)) % 0.40/0.92 (define @t347 () (= tptp.exuI3 @t346)) % 0.40/0.92 (define @t348 () (=> @t265 @t148)) % 0.40/0.92 (define @t349 () (forall @t150 @t348)) % 0.40/0.92 (define @t350 () (= tptp.exuI2 @t349)) % 0.40/0.92 (define @t351 () (_ @t20 @t1)) % 0.40/0.92 (define @t352 () (=> @t7 @t351)) % 0.40/0.92 (define @t353 () (forall @t135 (=> @t129 @t352))) % 0.40/0.92 (define @t354 () (=> @t3 @t353)) % 0.40/0.92 (define @t355 () (forall @t12 @t354)) % 0.40/0.92 (define @t356 () (= tptp.inCongP @t355)) % 0.40/0.92 (define @t357 () (= @t7 @t351)) % 0.40/0.92 (define @t358 () (forall @t135 (=> @t129 @t357))) % 0.40/0.92 (define @t359 () (=> @t3 @t358)) % 0.40/0.92 (define @t360 () (forall @t12 @t359)) % 0.40/0.92 (define @t361 () (= tptp.in__Cong @t360)) % 0.40/0.92 (define @t362 () (=> @t148 @t343)) % 0.40/0.92 (define @t363 () (forall @t150 @t362)) % 0.40/0.92 (define @t364 () (= tptp.exuE3u @t363)) % 0.40/0.92 (define @t365 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.40/0.92 (define @t366 () (_ @t365 @t4)) % 0.40/0.92 (define @t367 () (lambda @t9 @t366)) % 0.40/0.92 (define @t368 () (_ tptp.exu @t367)) % 0.40/0.92 (define @t369 () (= @t148 @t368)) % 0.40/0.92 (define @t370 () (_ @t365 @t19)) % 0.40/0.92 (define @t371 () (= @t144 @t370)) % 0.40/0.92 (define @t372 () (=> @t129 @t371)) % 0.40/0.92 (define @t373 () (forall @t135 @t372)) % 0.40/0.92 (define @t374 () (=> @t373 @t369)) % 0.40/0.92 (define @t375 () (@list @t143 @t365)) % 0.40/0.92 (define @t376 () (forall @t375 @t374)) % 0.40/0.92 (define @t377 () (= tptp.exu__Cong @t376)) % 0.40/0.92 (define @t378 () (= tptp.emptyset tptp.emptyset)) % 0.40/0.92 (define @t379 () (= tptp.emptyset__Cong @t378)) % 0.40/0.92 (define @t380 () (@var "Xu" $$unsorted)) % 0.40/0.92 (define @t381 () (_ @t274 @t380)) % 0.40/0.92 (define @t382 () (_ @t24 @t289)) % 0.40/0.92 (define @t383 () (= @t382 @t381)) % 0.40/0.92 (define @t384 () (= @t289 @t380)) % 0.40/0.92 (define @t385 () (@list @t289 @t380)) % 0.40/0.92 (define @t386 () (forall @t385 (=> @t384 @t383))) % 0.40/0.92 (define @t387 () (=> @t129 @t386)) % 0.40/0.92 (define @t388 () (forall @t135 @t387)) % 0.40/0.92 (define @t389 () (= tptp.setadjoin__Cong @t388)) % 0.40/0.92 (define @t390 () (_ tptp.powerset @t1)) % 0.40/0.92 (define @t391 () (= @t33 @t390)) % 0.40/0.92 (define @t392 () (forall @t12 (=> @t3 @t391))) % 0.40/0.92 (define @t393 () (= tptp.powerset__Cong @t392)) % 0.40/0.92 (define @t394 () (_ tptp.setunion @t1)) % 0.40/0.92 (define @t395 () (= @t43 @t394)) % 0.40/0.92 (define @t396 () (forall @t12 (=> @t3 @t395))) % 0.40/0.92 (define @t397 () (= tptp.setunion__Cong @t396)) % 0.40/0.92 (define @t398 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.40/0.92 (define @t399 () (= tptp.exuEu @t363)) % 0.40/0.92 (define @t400 () (_ tptp.descr @t367)) % 0.40/0.92 (define @t401 () (= @t146 @t400)) % 0.40/0.92 (define @t402 () (=> @t368 @t401)) % 0.40/0.92 (define @t403 () (=> @t148 @t402)) % 0.40/0.92 (define @t404 () (=> @t373 @t403)) % 0.40/0.92 (define @t405 () (forall @t375 @t404)) % 0.40/0.92 (define @t406 () (= tptp.descr__Cong @t405)) % 0.40/0.92 (define @t407 () (_ tptp.dsetconstr @t1)) % 0.40/0.92 (define @t408 () (_ @t407 @t367)) % 0.40/0.92 (define @t409 () (= @t304 @t408)) % 0.40/0.92 (define @t410 () (forall @t70 (=> @t351 @t372))) % 0.40/0.92 (define @t411 () (=> @t7 @t410)) % 0.40/0.92 (define @t412 () (forall @t9 @t411)) % 0.40/0.92 (define @t413 () (=> @t412 @t409)) % 0.40/0.92 (define @t414 () (forall @t375 @t413)) % 0.40/0.92 (define @t415 () (=> @t3 @t414)) % 0.40/0.92 (define @t416 () (forall @t12 @t415)) % 0.40/0.92 (define @t417 () (= tptp.dsetconstr__Cong @t416)) % 0.40/0.92 (define @t418 () (_ tptp.subset @t2)) % 0.40/0.92 (define @t419 () (_ @t418 @t1)) % 0.40/0.92 (define @t420 () (=> @t192 @t419)) % 0.40/0.92 (define @t421 () (forall @t12 @t420)) % 0.40/0.92 (define @t422 () (= tptp.subsetI1 @t421)) % 0.40/0.92 (define @t423 () (_ tptp.subset @t1)) % 0.40/0.92 (define @t424 () (_ @t423 @t2)) % 0.40/0.92 (define @t425 () (forall @t12 (=> @t3 @t424))) % 0.40/0.92 (define @t426 () (= tptp.eqimpsubset2 @t425)) % 0.40/0.92 (define @t427 () (forall @t12 (=> @t3 @t419))) % 0.40/0.92 (define @t428 () (= tptp.eqimpsubset1 @t427)) % 0.40/0.92 (define @t429 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 0.40/0.92 (define @t430 () (forall @t64 @t429)) % 0.40/0.92 (define @t431 () (= tptp.emptysetsubset @t430)) % 0.40/0.92 (define @t432 () (forall @t245 (=> @t419 @t191))) % 0.40/0.92 (define @t433 () (= tptp.subsetE @t432)) % 0.40/0.92 (define @t434 () (not @t6)) % 0.40/0.92 (define @t435 () (=> @t434 @t197)) % 0.40/0.92 (define @t436 () (forall @t245 (=> @t419 @t435))) % 0.40/0.92 (define @t437 () (= tptp.subsetE2 @t436)) % 0.40/0.92 (define @t438 () (not @t419)) % 0.40/0.92 (define @t439 () (=> @t434 @t438)) % 0.40/0.92 (define @t440 () (forall @t245 (=> @t7 @t439))) % 0.40/0.92 (define @t441 () (= tptp.notsubsetI @t440)) % 0.40/0.92 (define @t442 () (not @t3)) % 0.40/0.92 (define @t443 () (forall @t12 (=> @t438 @t442))) % 0.40/0.92 (define @t444 () (= tptp.notequalI1 @t443)) % 0.40/0.92 (define @t445 () (=> @t434 @t442)) % 0.40/0.92 (define @t446 () (forall @t245 (=> @t7 @t445))) % 0.40/0.92 (define @t447 () (= tptp.notequalI2 @t446)) % 0.40/0.92 (define @t448 () (_ @t418 @t2)) % 0.40/0.92 (define @t449 () (forall @t64 @t448)) % 0.40/0.92 (define @t450 () (= tptp.subsetRefl @t449)) % 0.40/0.92 (define @t451 () (_ @t418 @t104)) % 0.40/0.92 (define @t452 () (_ @t423 @t104)) % 0.40/0.92 (define @t453 () (=> @t452 @t451)) % 0.40/0.92 (define @t454 () (@list @t2 @t1 @t104)) % 0.40/0.92 (define @t455 () (forall @t454 (=> @t419 @t453))) % 0.40/0.92 (define @t456 () (= tptp.subsetTrans @t455)) % 0.40/0.92 (define @t457 () (_ @t418 @t25)) % 0.40/0.92 (define @t458 () (@list @t4 @t2)) % 0.40/0.92 (define @t459 () (forall @t458 @t457)) % 0.40/0.92 (define @t460 () (= tptp.setadjoinSub @t459)) % 0.40/0.92 (define @t461 () (_ @t24 @t1)) % 0.40/0.92 (define @t462 () (_ @t418 @t461)) % 0.40/0.92 (define @t463 () (forall @t249 (=> @t419 @t462))) % 0.40/0.92 (define @t464 () (= tptp.setadjoinSub2 @t463)) % 0.40/0.92 (define @t465 () (_ tptp.in @t2)) % 0.40/0.92 (define @t466 () (_ @t465 @t390)) % 0.40/0.92 (define @t467 () (forall @t12 (=> @t419 @t466))) % 0.40/0.92 (define @t468 () (= tptp.subset2powerset @t467)) % 0.40/0.92 (define @t469 () (=> @t424 @t3)) % 0.40/0.92 (define @t470 () (forall @t12 (=> @t419 @t469))) % 0.40/0.92 (define @t471 () (= tptp.setextsub @t470)) % 0.40/0.92 (define @t472 () (_ @t418 tptp.emptyset)) % 0.40/0.92 (define @t473 () (forall @t64 (=> @t472 @t196))) % 0.40/0.92 (define @t474 () (= tptp.subsetemptysetimpeq @t473)) % 0.40/0.92 (define @t475 () (forall @t12 (=> @t424 @t35))) % 0.40/0.92 (define @t476 () (= tptp.powersetI1 @t475)) % 0.40/0.92 (define @t477 () (forall @t12 (=> @t35 @t424))) % 0.40/0.92 (define @t478 () (= tptp.powersetE1 @t477)) % 0.40/0.92 (define @t479 () (_ @t465 @t33)) % 0.40/0.92 (define @t480 () (forall @t64 @t479)) % 0.40/0.92 (define @t481 () (= tptp.inPowerset @t480)) % 0.40/0.92 (define @t482 () (_ (_ tptp.subset @t33) @t390)) % 0.40/0.92 (define @t483 () (forall @t12 (=> @t419 @t482))) % 0.40/0.92 (define @t484 () (= tptp.powersetsubset @t483)) % 0.40/0.92 (define @t485 () (_ (_ tptp.in @t304) @t33)) % 0.40/0.92 (define @t486 () (forall @t309 @t485)) % 0.40/0.92 (define @t487 () (= tptp.sepInPowerset @t486)) % 0.40/0.92 (define @t488 () (_ (_ tptp.subset @t304) @t2)) % 0.40/0.92 (define @t489 () (forall @t309 @t488)) % 0.40/0.92 (define @t490 () (= tptp.sepSubset @t489)) % 0.40/0.92 (define @t491 () (_ @t5 (_ (_ tptp.binunion @t2) @t1))) % 0.40/0.92 (define @t492 () (=> @t7 @t491)) % 0.40/0.92 (define @t493 () (forall @t245 @t492)) % 0.40/0.92 (define @t494 () (= tptp.binunionIL @t493)) % 0.40/0.92 (define @t495 () (=> @t6 @t491)) % 0.40/0.92 (define @t496 () (forall @t245 @t495)) % 0.40/0.92 (define @t497 () (= tptp.binunionIR @t496)) % 0.40/0.92 (define @t498 () (=> @t6 @t173)) % 0.40/0.92 (define @t499 () (=> @t498 @t173)) % 0.40/0.92 (define @t500 () (=> @t7 @t173)) % 0.40/0.92 (define @t501 () (=> @t500 @t499)) % 0.40/0.92 (define @t502 () (=> @t491 @t501)) % 0.40/0.92 (define @t503 () (@list @t2 @t1 @t4 @t173)) % 0.40/0.92 (define @t504 () (forall @t503 @t502)) % 0.40/0.92 (define @t505 () (=> tptp.binunionIR @t504)) % 0.40/0.92 (define @t506 () (=> tptp.upairset2IR @t505)) % 0.40/0.92 (define @t507 () (=> tptp.binunionIL @t506)) % 0.40/0.92 (define @t508 () (=> tptp.sepSubset @t507)) % 0.40/0.92 (define @t509 () (=> tptp.sepInPowerset @t508)) % 0.40/0.92 (define @t510 () (=> tptp.powersetsubset @t509)) % 0.40/0.92 (define @t511 () (=> tptp.inPowerset @t510)) % 0.40/0.92 (define @t512 () (=> tptp.powersetE1 @t511)) % 0.40/0.92 (define @t513 () (=> tptp.powersetI1 @t512)) % 0.40/0.92 (define @t514 () (=> tptp.subsetemptysetimpeq @t513)) % 0.40/0.92 (define @t515 () (=> tptp.setextsub @t514)) % 0.40/0.92 (define @t516 () (=> tptp.subset2powerset @t515)) % 0.40/0.92 (define @t517 () (=> tptp.setadjoinSub2 @t516)) % 0.40/0.92 (define @t518 () (=> tptp.setadjoinSub @t517)) % 0.40/0.92 (define @t519 () (=> tptp.subsetTrans @t518)) % 0.40/0.92 (define @t520 () (=> tptp.subsetRefl @t519)) % 0.40/0.92 (define @t521 () (=> tptp.notequalI2 @t520)) % 0.40/0.92 (define @t522 () (=> tptp.notequalI1 @t521)) % 0.40/0.92 (define @t523 () (=> tptp.notsubsetI @t522)) % 0.40/0.92 (define @t524 () (=> tptp.subsetE2 @t523)) % 0.40/0.92 (define @t525 () (=> tptp.subsetE @t524)) % 0.40/0.92 (define @t526 () (=> tptp.emptysetsubset @t525)) % 0.40/0.92 (define @t527 () (=> tptp.subsetI2 @t526)) % 0.40/0.92 (define @t528 () (=> tptp.eqimpsubset1 @t527)) % 0.40/0.92 (define @t529 () (=> tptp.eqimpsubset2 @t528)) % 0.40/0.92 (define @t530 () (=> tptp.subsetI1 @t529)) % 0.40/0.92 (define @t531 () (=> tptp.dsetconstr__Cong @t530)) % 0.40/0.92 (define @t532 () (=> tptp.descr__Cong @t531)) % 0.40/0.92 (define @t533 () (=> tptp.exuEu @t532)) % 0.40/0.92 (define @t534 () (=> tptp.omega__Cong @t533)) % 0.40/0.92 (define @t535 () (=> tptp.setunion__Cong @t534)) % 0.40/0.92 (define @t536 () (=> tptp.powerset__Cong @t535)) % 0.40/0.92 (define @t537 () (=> tptp.setadjoin__Cong @t536)) % 0.40/0.92 (define @t538 () (=> tptp.emptyset__Cong @t537)) % 0.40/0.92 (define @t539 () (=> tptp.exu__Cong @t538)) % 0.40/0.92 (define @t540 () (=> tptp.exuE3u @t539)) % 0.40/0.92 (define @t541 () (=> tptp.in__Cong @t540)) % 0.40/0.92 (define @t542 () (=> tptp.inCongP @t541)) % 0.40/0.92 (define @t543 () (=> tptp.exuI2 @t542)) % 0.40/0.92 (define @t544 () (=> tptp.exuI3 @t543)) % 0.40/0.92 (define @t545 () (=> tptp.exuI1 @t544)) % 0.40/0.92 (define @t546 () (=> tptp.notdallE @t545)) % 0.40/0.92 (define @t547 () (=> tptp.notdexE @t546)) % 0.40/0.92 (define @t548 () (=> tptp.prop2set2propI @t547)) % 0.40/0.92 (define @t549 () (=> tptp.prop2setI @t548)) % 0.40/0.92 (define @t550 () (=> tptp.quantDeMorgan4 @t549)) % 0.40/0.92 (define @t551 () (=> tptp.quantDeMorgan3 @t550)) % 0.40/0.92 (define @t552 () (=> tptp.quantDeMorgan2 @t551)) % 0.40/0.92 (define @t553 () (=> tptp.quantDeMorgan1 @t552)) % 0.40/0.92 (define @t554 () (=> tptp.vacuousDall @t553)) % 0.40/0.92 (define @t555 () (=> tptp.emptyE1 @t554)) % 0.40/0.92 (define @t556 () (=> tptp.upairsetIR @t555)) % 0.40/0.92 (define @t557 () (=> tptp.upairsetIL @t556)) % 0.40/0.92 (define @t558 () (=> tptp.upairsetE @t557)) % 0.40/0.92 (define @t559 () (=> tptp.singletonsswitch @t558)) % 0.40/0.92 (define @t560 () (=> tptp.eqinunit @t559)) % 0.40/0.92 (define @t561 () (=> tptp.notinsingleton @t560)) % 0.40/0.92 (define @t562 () (=> tptp.uniqinunit @t561)) % 0.40/0.92 (define @t563 () (=> tptp.nonemptyImpWitness @t562)) % 0.40/0.92 (define @t564 () (=> tptp.exuE2 @t563)) % 0.40/0.92 (define @t565 () (=> tptp.subPowSU @t564)) % 0.40/0.92 (define @t566 () (=> tptp.setunionE @t565)) % 0.40/0.92 (define @t567 () (=> tptp.setunionI @t566)) % 0.40/0.92 (define @t568 () (=> tptp.powersetE @t567)) % 0.40/0.92 (define @t569 () (=> tptp.emptyInPowerset @t568)) % 0.40/0.92 (define @t570 () (=> tptp.emptyinPowerset @t569)) % 0.40/0.92 (define @t571 () (=> tptp.powersetI @t570)) % 0.40/0.92 (define @t572 () (=> tptp.setoftrueEq @t571)) % 0.40/0.92 (define @t573 () (=> tptp.setadjoinOr @t572)) % 0.40/0.92 (define @t574 () (=> tptp.setadjoinE @t573)) % 0.40/0.92 (define @t575 () (=> tptp.setadjoinIR @t574)) % 0.40/0.92 (define @t576 () (=> tptp.emptyinunitempty @t575)) % 0.40/0.92 (define @t577 () (=> tptp.setadjoinIL @t576)) % 0.40/0.92 (define @t578 () (=> tptp.nonemptyI1 @t577)) % 0.40/0.92 (define @t579 () (=> tptp.nonemptyI @t578)) % 0.40/0.92 (define @t580 () (=> tptp.nonemptyE1 @t579)) % 0.40/0.92 (define @t581 () (=> tptp.setbeta @t580)) % 0.40/0.92 (define @t582 () (=> tptp.noeltsimpempty @t581)) % 0.40/0.92 (define @t583 () (=> tptp.emptyI @t582)) % 0.40/0.92 (define @t584 () (=> tptp.setext @t583)) % 0.40/0.92 (define @t585 () (=> tptp.exuE3e @t584)) % 0.40/0.92 (define @t586 () (=> tptp.notinemptyset @t585)) % 0.40/0.92 (define @t587 () (=> tptp.emptysetimpfalse @t586)) % 0.40/0.92 (define @t588 () (=> tptp.emptysetE @t587)) % 0.40/0.92 (define @t589 () (=> tptp.prop2setE @t588)) % 0.40/0.92 (define @t590 () (=> tptp.exuE1 @t589)) % 0.40/0.92 (define @t591 () (=> tptp.dsetconstrER @t590)) % 0.40/0.92 (define @t592 () (=> tptp.dsetconstrEL @t591)) % 0.40/0.92 (define @t593 () (=> tptp.dsetconstrI @t592)) % 0.40/0.92 (define @t594 () (=> tptp.descrp @t593)) % 0.40/0.92 (define @t595 () (=> tptp.wellorderingAx @t594)) % 0.40/0.92 (define @t596 () (=> tptp.foundationAx @t595)) % 0.40/0.92 (define @t597 () (=> tptp.replAx @t596)) % 0.40/0.92 (define @t598 () (=> tptp.omegaIndAx @t597)) % 0.40/0.92 (define @t599 () (=> tptp.omegaSAx @t598)) % 0.40/0.92 (define @t600 () (=> tptp.omega0Ax @t599)) % 0.40/0.92 (define @t601 () (=> tptp.setunionAx @t600)) % 0.40/0.92 (define @t602 () (=> tptp.powersetAx @t601)) % 0.40/0.92 (define @t603 () (=> tptp.setadjoinAx @t602)) % 0.40/0.92 (define @t604 () (=> tptp.emptysetAx @t603)) % 0.40/0.92 (define @t605 () (=> tptp.setextAx @t604)) % 0.40/0.92 (define @t606 () (not @t605)) % 0.40/0.92 (define @t607 () (lambda @t150 @t169)) % 0.40/0.92 (define @t608 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.40/0.92 (define @t609 () (lambda @t135 (_ tptp.setunion @t291))) % 0.40/0.92 (define @t610 () (tptp.in @t4 @t1)) % 0.40/0.92 (define @t611 () (tptp.in @t4 @t2)) % 0.40/0.92 (define @t612 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.40/0.92 (define @t613 () (tptp.setadjoin @t2 @t612)) % 0.40/0.92 (define @t614 () (tptp.setunion @t613)) % 0.40/0.92 (define @t615 () (tptp.in @t4 @t614)) % 0.40/0.92 (define @t616 () (not @t615)) % 0.40/0.92 (define @t617 () (forall @t245 (or @t616 @t611 @t610))) % 0.40/0.92 (define @t618 () (not @t610)) % 0.40/0.92 (define @t619 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.40/0.92 (define @t620 () (tptp.setadjoin @t4 @t619)) % 0.40/0.92 (define @t621 () (tptp.in @t19 @t620)) % 0.40/0.92 (define @t622 () (forall @t135 @t621)) % 0.40/0.92 (define @t623 () (not @t611)) % 0.40/0.92 (define @t624 () (tptp.dsetconstr @t2 @t143)) % 0.40/0.92 (define @t625 () (tptp.powerset @t2)) % 0.40/0.92 (define @t626 () (tptp.powerset @t1)) % 0.40/0.92 (define @t627 () (tptp.subset @t625 @t626)) % 0.40/0.92 (define @t628 () (tptp.subset @t2 @t1)) % 0.40/0.92 (define @t629 () (not @t628)) % 0.40/0.92 (define @t630 () (tptp.in @t2 @t625)) % 0.40/0.92 (define @t631 () (tptp.subset @t1 @t2)) % 0.40/0.92 (define @t632 () (tptp.in @t1 @t625)) % 0.40/0.92 (define @t633 () (not @t632)) % 0.40/0.92 (define @t634 () (not @t631)) % 0.40/0.92 (define @t635 () (tptp.subset @t2 tptp.emptyset)) % 0.40/0.92 (define @t636 () (tptp.in @t2 @t626)) % 0.40/0.92 (define @t637 () (tptp.setadjoin @t4 @t1)) % 0.40/0.92 (define @t638 () (tptp.subset @t2 @t637)) % 0.40/0.92 (define @t639 () (tptp.setadjoin @t4 @t2)) % 0.40/0.92 (define @t640 () (tptp.subset @t2 @t639)) % 0.40/0.92 (define @t641 () (tptp.subset @t2 @t104)) % 0.40/0.92 (define @t642 () (tptp.subset @t1 @t104)) % 0.40/0.92 (define @t643 () (tptp.subset @t2 @t2)) % 0.40/0.92 (define @t644 () (=> (forall @t64 @t643) (=> (forall @t454 (or @t629 (not @t642) @t641)) (=> (forall @t458 @t640) (=> (forall @t249 (or @t629 @t638)) (=> (forall @t12 (or @t629 @t636)) (=> (forall @t12 (or @t629 @t634 @t3)) (=> (forall @t64 (or (not @t635) @t196)) (=> (forall @t12 (or @t634 @t632)) (=> (forall @t12 (or @t633 @t631)) (=> (forall @t64 @t630) (=> (forall @t12 (or @t629 @t627)) (=> (forall @t309 (tptp.in @t624 @t625)) (=> (forall @t309 (tptp.subset @t624 @t2)) (=> (forall @t245 (or @t623 @t615)) (=> @t622 (=> (forall @t245 (or @t618 @t615)) @t617))))))))))))))))) % 0.40/0.92 (define @t645 () (tptp.subset @t1 @t1)) % 0.40/0.92 (define @t646 () (forall @t41 @t645)) % 0.40/0.92 (define @t647 () (forall @t245 (or @t623 @t610 @t629))) % 0.40/0.92 (define @t648 () (forall @t245 (or @t629 @t610 @t623))) % 0.40/0.92 (define @t649 () (forall @t245 (or @t629 @t623 @t610))) % 0.40/0.92 (define @t650 () (tptp.subset tptp.emptyset @t2)) % 0.40/0.92 (define @t651 () (forall @t64 @t650)) % 0.40/0.92 (define @t652 () (forall @t9 (or @t623 @t610))) % 0.40/0.92 (define @t653 () (not @t652)) % 0.40/0.92 (define @t654 () (forall @t12 (or @t653 @t628))) % 0.40/0.92 (define @t655 () (@var "BOUND_VARIABLE_9618" (-> $$unsorted Bool))) % 0.40/0.92 (define @t656 () (tptp.dsetconstr @t1 @t655)) % 0.40/0.92 (define @t657 () (@var "BOUND_VARIABLE_9620" (-> $$unsorted Bool))) % 0.40/0.92 (define @t658 () (tptp.dsetconstr @t1 @t657)) % 0.40/0.92 (define @t659 () (= @t658 @t656)) % 0.40/0.92 (define @t660 () (= (_ @t655 @t4) (_ @t657 @t4))) % 0.40/0.92 (define @t661 () (or @t618 @t660)) % 0.40/0.92 (define @t662 () (not (forall @t9 @t661))) % 0.40/0.92 (define @t663 () (or @t662 @t659)) % 0.40/0.92 (define @t664 () (@list @t1 @t655 @t657)) % 0.40/0.92 (define @t665 () (forall @t664 @t663)) % 0.40/0.92 (define @t666 () (@var "BOUND_VARIABLE_9557" $$unsorted)) % 0.40/0.92 (define @t667 () (_ @t365 @t19)) % 0.40/0.92 (define @t668 () (not @t667)) % 0.40/0.92 (define @t669 () (not (_ @t365 @t666))) % 0.40/0.92 (define @t670 () (@var "BOUND_VARIABLE_9548" $$unsorted)) % 0.40/0.92 (define @t671 () (_ @t143 @t19)) % 0.40/0.92 (define @t672 () (not @t671)) % 0.40/0.92 (define @t673 () (not (_ @t143 @t670))) % 0.40/0.92 (define @t674 () (tptp.descr @t143)) % 0.40/0.92 (define @t675 () (= @t674 (tptp.descr @t365))) % 0.40/0.92 (define @t676 () (= @t671 @t667)) % 0.40/0.92 (define @t677 () (forall @t70 @t676)) % 0.40/0.92 (define @t678 () (not @t677)) % 0.40/0.92 (define @t679 () (@list @t143 @t365 @t670 @t666)) % 0.40/0.92 (define @t680 () (forall @t679 (or @t678 @t675 @t673 (not (forall @t70 (or @t672 (= @t19 @t670)))) @t669 (not (forall @t70 (or @t668 (= @t19 @t666))))))) % 0.40/0.92 (define @t681 () (@var "BOUND_VARIABLE_9389" $$unsorted)) % 0.40/0.92 (define @t682 () (@var "BOUND_VARIABLE_9387" $$unsorted)) % 0.40/0.92 (define @t683 () (= @t682 @t681)) % 0.40/0.92 (define @t684 () (not (_ @t143 @t681))) % 0.40/0.92 (define @t685 () (not (_ @t143 @t682))) % 0.40/0.92 (define @t686 () (@var "BOUND_VARIABLE_9378" $$unsorted)) % 0.40/0.92 (define @t687 () (not (_ @t143 @t686))) % 0.40/0.92 (define @t688 () (@list @t143 @t686 @t682 @t681)) % 0.40/0.92 (define @t689 () (forall @t688 (or @t687 (not (forall @t70 (or @t672 (= @t19 @t686)))) @t685 @t684 @t683))) % 0.40/0.92 (define @t690 () (not (forall @t70 (or @t668 @t129)))) % 0.40/0.92 (define @t691 () (_ @t365 @t4)) % 0.40/0.92 (define @t692 () (forall @t9 (or (not @t691) @t690))) % 0.40/0.92 (define @t693 () (not @t692)) % 0.40/0.92 (define @t694 () (forall @t70 (or @t672 @t129))) % 0.40/0.92 (define @t695 () (not @t694)) % 0.40/0.92 (define @t696 () (_ @t143 @t4)) % 0.40/0.92 (define @t697 () (not @t696)) % 0.40/0.92 (define @t698 () (forall @t9 (or @t697 @t695))) % 0.40/0.92 (define @t699 () (not @t698)) % 0.40/0.92 (define @t700 () (= @t699 @t693)) % 0.40/0.92 (define @t701 () (forall @t375 (or @t678 @t700))) % 0.40/0.92 (define @t702 () (@var "BOUND_VARIABLE_9285" $$unsorted)) % 0.40/0.92 (define @t703 () (@list @t143 @t702)) % 0.40/0.92 (define @t704 () (forall @t703 (or (not (forall @t70 (= @t671 (= @t19 @t702)))) @t699))) % 0.40/0.92 (define @t705 () (forall @t135 (or @t697 @t672 @t129))) % 0.40/0.92 (define @t706 () (not @t705)) % 0.40/0.92 (define @t707 () (@var "BOUND_VARIABLE_9269" $$unsorted)) % 0.40/0.92 (define @t708 () (not (_ @t143 @t707))) % 0.40/0.92 (define @t709 () (or @t708 @t706 @t699)) % 0.40/0.92 (define @t710 () (forall (@list @t143 @t707) @t709)) % 0.40/0.92 (define @t711 () (=> @t710 (=> @t704 (=> @t689 (=> @t701 (=> @t689 (=> @t680 (=> @t665 (=> @t654 (=> @t646 (=> @t646 (=> @t654 (=> @t651 (=> @t649 (=> @t648 (=> @t647 (=> @t646 @t644))))))))))))))))) % 0.40/0.92 (define @t712 () (tptp.prop2set true)) % 0.40/0.92 (define @t713 () (tptp.set2prop @t712)) % 0.40/0.92 (define @t714 () (=> @t713 @t711)) % 0.40/0.92 (define @t715 () (tptp.in tptp.emptyset @t712)) % 0.40/0.92 (define @t716 () (=> @t715 @t714)) % 0.40/0.92 (define @t717 () (tptp.in @t4 tptp.emptyset)) % 0.40/0.92 (define @t718 () (not @t717)) % 0.40/0.92 (define @t719 () (forall @t312 (or @t718 @t696))) % 0.40/0.92 (define @t720 () (=> @t719 @t716)) % 0.40/0.92 (define @t721 () (@var "BOUND_VARIABLE_9178" $$unsorted)) % 0.40/0.92 (define @t722 () (not (_ @t143 @t721))) % 0.40/0.92 (define @t723 () (not (tptp.in @t721 @t2))) % 0.40/0.92 (define @t724 () (not (= tptp.emptyset @t624))) % 0.40/0.92 (define @t725 () (or @t724 @t723 @t722)) % 0.40/0.92 (define @t726 () (@list @t2 @t143 @t721)) % 0.40/0.92 (define @t727 () (forall @t726 @t725)) % 0.40/0.92 (define @t728 () (=> @t727 @t720)) % 0.40/0.92 (define @t729 () (=> @t622 @t728)) % 0.40/0.92 (define @t730 () (tptp.in @t4 @t620)) % 0.40/0.92 (define @t731 () (forall @t135 @t730)) % 0.40/0.92 (define @t732 () (=> @t731 @t729)) % 0.40/0.92 (define @t733 () (= @t19 @t289)) % 0.40/0.92 (define @t734 () (= @t4 @t289)) % 0.40/0.92 (define @t735 () (tptp.in @t289 @t620)) % 0.40/0.92 (define @t736 () (forall @t295 (or (not @t735) @t734 @t733))) % 0.40/0.92 (define @t737 () (=> @t736 @t732)) % 0.40/0.92 (define @t738 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.40/0.92 (define @t739 () (tptp.in @t19 @t738)) % 0.40/0.92 (define @t740 () (tptp.in @t4 @t619)) % 0.40/0.92 (define @t741 () (not @t740)) % 0.40/0.92 (define @t742 () (forall @t135 (or @t741 @t739))) % 0.40/0.92 (define @t743 () (=> @t742 @t737)) % 0.40/0.92 (define @t744 () (tptp.in @t19 @t619)) % 0.40/0.92 (define @t745 () (forall @t70 @t744)) % 0.40/0.92 (define @t746 () (=> @t745 @t743)) % 0.40/0.92 (define @t747 () (forall @t135 (or @t129 (not @t739)))) % 0.40/0.92 (define @t748 () (=> @t747 @t746)) % 0.40/0.92 (define @t749 () (forall @t135 (or @t741 @t129))) % 0.40/0.92 (define @t750 () (=> @t749 @t748)) % 0.40/0.92 (define @t751 () (forall @t9 @t623)) % 0.40/0.92 (define @t752 () (not @t751)) % 0.40/0.92 (define @t753 () (forall @t64 (or @t196 @t752))) % 0.40/0.92 (define @t754 () (=> @t753 @t750)) % 0.40/0.92 (define @t755 () (@var "BOUND_VARIABLE_9062" $$unsorted)) % 0.40/0.92 (define @t756 () (not (_ @t143 @t755))) % 0.40/0.92 (define @t757 () (forall @t70 (= @t129 @t671))) % 0.40/0.92 (define @t758 () (forall @t9 (not @t757))) % 0.40/0.92 (define @t759 () (not @t758)) % 0.40/0.92 (define @t760 () (@list @t143 @t755)) % 0.40/0.92 (define @t761 () (forall @t760 (or @t759 @t756 (not (forall @t70 (or @t672 (= @t19 @t755))))))) % 0.40/0.92 (define @t762 () (=> @t761 @t754)) % 0.40/0.92 (define @t763 () (tptp.setunion @t2)) % 0.40/0.92 (define @t764 () (tptp.powerset @t763)) % 0.40/0.92 (define @t765 () (tptp.in @t4 @t764)) % 0.40/0.92 (define @t766 () (forall @t46 (or @t623 @t765))) % 0.40/0.92 (define @t767 () (=> @t766 @t762)) % 0.40/0.92 (define @t768 () (tptp.in @t1 @t2)) % 0.40/0.92 (define @t769 () (not @t768)) % 0.40/0.92 (define @t770 () (forall @t41 (or @t618 @t769))) % 0.40/0.92 (define @t771 () (not @t770)) % 0.40/0.92 (define @t772 () (tptp.in @t4 @t763)) % 0.40/0.92 (define @t773 () (forall @t46 (or (not @t772) @t771))) % 0.40/0.92 (define @t774 () (=> @t773 @t767)) % 0.40/0.92 (define @t775 () (forall @t249 (or @t618 @t769 @t772))) % 0.40/0.92 (define @t776 () (=> @t775 @t774)) % 0.40/0.92 (define @t777 () (forall @t245 (or @t633 @t618 @t611))) % 0.40/0.92 (define @t778 () (=> @t777 @t776)) % 0.40/0.92 (define @t779 () (tptp.in tptp.emptyset @t625)) % 0.40/0.92 (define @t780 () (forall @t64 @t779)) % 0.40/0.92 (define @t781 () (=> @t780 @t778)) % 0.40/0.92 (define @t782 () (=> @t780 @t781)) % 0.40/0.92 (define @t783 () (forall @t9 (or @t618 @t611))) % 0.40/0.92 (define @t784 () (not @t783)) % 0.40/0.92 (define @t785 () (forall @t12 (or @t784 @t632))) % 0.40/0.92 (define @t786 () (=> @t785 @t782)) % 0.40/0.92 (define @t787 () (@var "BOUND_VARIABLE_23474" $$unsorted)) % 0.40/0.92 (define @t788 () (lambda (@list @t787) true)) % 0.40/0.92 (define @t789 () (tptp.dsetconstr @t2 @t788)) % 0.40/0.92 (define @t790 () (forall @t64 (= @t2 @t789))) % 0.40/0.92 (define @t791 () (=> @t790 @t786)) % 0.40/0.92 (define @t792 () (tptp.in @t19 @t2)) % 0.40/0.92 (define @t793 () (tptp.in @t19 @t639)) % 0.40/0.92 (define @t794 () (forall @t28 (or (not @t793) @t129 @t792))) % 0.40/0.92 (define @t795 () (=> @t794 @t791)) % 0.40/0.92 (define @t796 () (=> @t794 @t795)) % 0.40/0.92 (define @t797 () (not @t792)) % 0.40/0.92 (define @t798 () (forall @t28 (or @t797 @t793))) % 0.40/0.92 (define @t799 () (=> @t798 @t796)) % 0.40/0.92 (define @t800 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.40/0.92 (define @t801 () (tptp.in tptp.emptyset @t800)) % 0.40/0.92 (define @t802 () (=> @t221 @t799)) % 0.40/0.92 (define @t803 () (tptp.setadjoin @t4 @t19)) % 0.40/0.92 (define @t804 () (tptp.in @t4 @t803)) % 0.40/0.92 (define @t805 () (forall @t135 @t804)) % 0.40/0.92 (define @t806 () (=> @t805 @t802)) % 0.40/0.92 (define @t807 () (@var "BOUND_VARIABLE_8903" $$unsorted)) % 0.40/0.92 (define @t808 () (not (tptp.in @t807 tptp.emptyset))) % 0.40/0.92 (define @t809 () (@list @t807)) % 0.40/0.92 (define @t810 () (forall @t809 @t808)) % 0.40/0.92 (define @t811 () (=> @t810 @t806)) % 0.40/0.92 (define @t812 () (forall @t159 (or @t623 @t697 @t724))) % 0.40/0.92 (define @t813 () (=> @t812 @t811)) % 0.40/0.92 (define @t814 () (=> @t753 @t813)) % 0.40/0.92 (define @t815 () (tptp.in @t4 @t624)) % 0.40/0.92 (define @t816 () (forall @t159 (or @t623 (= @t696 @t815)))) % 0.40/0.92 (define @t817 () (=> @t816 @t814)) % 0.40/0.92 (define @t818 () (forall @t64 (or @t752 @t196))) % 0.40/0.92 (define @t819 () (=> @t818 @t817)) % 0.40/0.92 (define @t820 () (=> @t818 @t819)) % 0.40/0.92 (define @t821 () (or @t653 @t784 @t3)) % 0.40/0.92 (define @t822 () (forall @t12 @t821)) % 0.40/0.92 (define @t823 () (=> @t822 @t820)) % 0.40/0.92 (define @t824 () (@var "BOUND_VARIABLE_8800" $$unsorted)) % 0.40/0.92 (define @t825 () (not (_ @t143 @t824))) % 0.40/0.92 (define @t826 () (forall @t9 @t697)) % 0.40/0.92 (define @t827 () (not @t826)) % 0.40/0.92 (define @t828 () (@list @t143 @t824)) % 0.40/0.92 (define @t829 () (forall @t828 (or @t827 @t825 (not (forall @t70 (or @t672 (= @t19 @t824))))))) % 0.40/0.92 (define @t830 () (=> @t829 @t823)) % 0.40/0.92 (define @t831 () (forall @t9 @t718)) % 0.40/0.92 (define @t832 () (=> @t831 @t830)) % 0.40/0.92 (define @t833 () (=> @t831 @t832)) % 0.40/0.92 (define @t834 () (=> @t831 @t833)) % 0.40/0.92 (define @t835 () (not (tptp.in @t4 (tptp.prop2set false)))) % 0.40/0.92 (define @t836 () (forall @t9 @t835)) % 0.40/0.92 (define @t837 () (=> @t836 @t834)) % 0.40/0.92 (define @t838 () (not @t815)) % 0.40/0.92 (define @t839 () (forall @t159 (or @t838 @t696))) % 0.40/0.92 (define @t840 () (=> @t839 @t837)) % 0.40/0.92 (define @t841 () (forall @t159 (or @t838 @t611))) % 0.40/0.92 (define @t842 () (=> @t841 @t840)) % 0.40/0.92 (define @t843 () (forall @t159 (or @t623 @t697 @t815))) % 0.40/0.92 (define @t844 () (=> @t843 @t842)) % 0.40/0.92 (define @t845 () (@var "BOUND_VARIABLE_8699" $$unsorted)) % 0.40/0.92 (define @t846 () (not (_ @t143 @t845))) % 0.40/0.92 (define @t847 () (_ @t143 @t674)) % 0.40/0.92 (define @t848 () (@list @t143 @t845)) % 0.40/0.92 (define @t849 () (forall @t848 (or @t847 @t846 (not (forall @t70 (or @t672 (= @t19 @t845))))))) % 0.40/0.92 (define @t850 () (=> @t849 @t844)) % 0.40/0.92 (define @t851 () (@var "BOUND_VARIABLE_8619" $$unsorted)) % 0.40/0.92 (define @t852 () (tptp.in @t851 @t95)) % 0.40/0.92 (define @t853 () (not (tptp.in @t851 @t93))) % 0.40/0.92 (define @t854 () (tptp.in @t4 @t93)) % 0.40/0.92 (define @t855 () (tptp.in @t93 @t1)) % 0.40/0.92 (define @t856 () (not @t855)) % 0.40/0.92 (define @t857 () (or @t856 @t854 @t853 @t852)) % 0.40/0.92 (define @t858 () (@list @t93 @t851)) % 0.40/0.92 (define @t859 () (forall @t858 @t857)) % 0.40/0.92 (define @t860 () (not @t859)) % 0.40/0.92 (define @t861 () (tptp.in @t19 @t104)) % 0.40/0.92 (define @t862 () (tptp.in @t19 @t95)) % 0.40/0.92 (define @t863 () (forall @t70 (or (not @t862) (not @t861)))) % 0.40/0.92 (define @t864 () (not @t863)) % 0.40/0.92 (define @t865 () (tptp.in @t4 @t104)) % 0.40/0.92 (define @t866 () (not @t865)) % 0.40/0.92 (define @t867 () (tptp.in @t95 @t1)) % 0.40/0.92 (define @t868 () (not @t867)) % 0.40/0.92 (define @t869 () (not (forall @t112 (or @t868 @t866 @t864 @t860)))) % 0.40/0.92 (define @t870 () (@var "BOUND_VARIABLE_8648" $$unsorted)) % 0.40/0.92 (define @t871 () (not (tptp.in @t870 @t104))) % 0.40/0.92 (define @t872 () (forall @t9 (or @t866 @t611))) % 0.40/0.92 (define @t873 () (not @t872)) % 0.40/0.92 (define @t874 () (or @t873 @t871 @t869)) % 0.40/0.92 (define @t875 () (forall (@list @t104 @t870) @t874)) % 0.40/0.92 (define @t876 () (not @t875)) % 0.40/0.92 (define @t877 () (@var "BOUND_VARIABLE_8571" $$unsorted)) % 0.40/0.92 (define @t878 () (tptp.in @t877 @t104)) % 0.40/0.92 (define @t879 () (not (tptp.in @t877 @t95))) % 0.40/0.92 (define @t880 () (@var "BOUND_VARIABLE_8565" $$unsorted)) % 0.40/0.92 (define @t881 () (tptp.in @t880 @t95)) % 0.40/0.92 (define @t882 () (not (tptp.in @t880 @t104))) % 0.40/0.92 (define @t883 () (tptp.in @t104 @t1)) % 0.40/0.92 (define @t884 () (not @t883)) % 0.40/0.92 (define @t885 () (or @t884 @t868 @t882 @t881 @t879 @t878)) % 0.40/0.92 (define @t886 () (@list @t104 @t95 @t880 @t877)) % 0.40/0.92 (define @t887 () (forall @t886 @t885)) % 0.40/0.92 (define @t888 () (not @t887)) % 0.40/0.92 (define @t889 () (forall @t118 (or @t884 (= @t865 @t861)))) % 0.40/0.92 (define @t890 () (not @t889)) % 0.40/0.92 (define @t891 () (forall @t135 (or @t623 @t797 @t890 @t129))) % 0.40/0.92 (define @t892 () (not @t891)) % 0.40/0.92 (define @t893 () (@var "BOUND_VARIABLE_8514" $$unsorted)) % 0.40/0.92 (define @t894 () (tptp.in @t893 @t2)) % 0.40/0.92 (define @t895 () (not (tptp.in @t893 @t104))) % 0.40/0.92 (define @t896 () (or @t884 @t895 @t894)) % 0.40/0.92 (define @t897 () (@list @t104 @t893)) % 0.40/0.92 (define @t898 () (forall @t897 @t896)) % 0.40/0.92 (define @t899 () (not @t898)) % 0.40/0.92 (define @t900 () (or @t899 @t892 @t888 @t876)) % 0.40/0.92 (define @t901 () (forall @t64 (not (forall @t41 @t900)))) % 0.40/0.92 (define @t902 () (=> @t901 @t850)) % 0.40/0.92 (define @t903 () (forall @t9 (or @t618 @t623))) % 0.40/0.92 (define @t904 () (not @t903)) % 0.40/0.92 (define @t905 () (not (forall @t41 (or @t769 @t904)))) % 0.40/0.92 (define @t906 () (@var "BOUND_VARIABLE_8489" $$unsorted)) % 0.40/0.92 (define @t907 () (not (tptp.in @t906 @t2))) % 0.40/0.92 (define @t908 () (or @t907 @t905)) % 0.40/0.92 (define @t909 () (forall (@list @t2 @t906) @t908)) % 0.40/0.92 (define @t910 () (=> @t909 @t902)) % 0.40/0.92 (define @t911 () (_ @t67 @t19 @t4)) % 0.40/0.92 (define @t912 () (not (forall @t70 (or @t797 (not @t911))))) % 0.40/0.92 (define @t913 () (forall @t9 (= @t610 @t912))) % 0.40/0.92 (define @t914 () (not (forall @t41 (not @t913)))) % 0.40/0.92 (define @t915 () (@var "BOUND_VARIABLE_8379" $$unsorted)) % 0.40/0.92 (define @t916 () (= @t19 @t915)) % 0.40/0.92 (define @t917 () (_ @t67 @t4 @t19)) % 0.40/0.92 (define @t918 () (not (forall @t70 (or (not @t917) @t916)))) % 0.40/0.92 (define @t919 () (_ @t67 @t4 @t915)) % 0.40/0.92 (define @t920 () (@list @t915)) % 0.40/0.92 (define @t921 () (not (forall @t920 (or (not @t919) @t918)))) % 0.40/0.92 (define @t922 () (forall @t9 (or @t623 @t921))) % 0.40/0.92 (define @t923 () (forall @t81 (or (not @t922) @t914))) % 0.40/0.92 (define @t924 () (=> @t923 @t910)) % 0.40/0.92 (define @t925 () (@var "BOUND_VARIABLE_8360" $$unsorted)) % 0.40/0.92 (define @t926 () (tptp.in @t925 @t2)) % 0.40/0.92 (define @t927 () (not (tptp.in @t925 tptp.omega))) % 0.40/0.92 (define @t928 () (tptp.setadjoin @t4 @t4)) % 0.40/0.92 (define @t929 () (tptp.in @t928 @t2)) % 0.40/0.92 (define @t930 () (tptp.in @t4 tptp.omega)) % 0.40/0.92 (define @t931 () (not @t930)) % 0.40/0.92 (define @t932 () (forall @t9 (or @t931 @t623 @t929))) % 0.40/0.92 (define @t933 () (not @t932)) % 0.40/0.92 (define @t934 () (tptp.in tptp.emptyset @t2)) % 0.40/0.92 (define @t935 () (not @t934)) % 0.40/0.92 (define @t936 () (or @t935 @t933 @t927 @t926)) % 0.40/0.92 (define @t937 () (@list @t2 @t925)) % 0.40/0.92 (define @t938 () (forall @t937 @t936)) % 0.40/0.92 (define @t939 () (=> @t938 @t924)) % 0.40/0.92 (define @t940 () (tptp.in @t928 tptp.omega)) % 0.40/0.92 (define @t941 () (forall @t9 (or @t931 @t940))) % 0.40/0.92 (define @t942 () (=> @t941 @t939)) % 0.40/0.92 (define @t943 () (tptp.in tptp.emptyset tptp.omega)) % 0.40/0.92 (define @t944 () (=> @t50 @t942)) % 0.40/0.92 (define @t945 () (forall @t46 (= @t771 @t772))) % 0.40/0.92 (define @t946 () (=> @t945 @t944)) % 0.40/0.92 (define @t947 () (forall @t12 (= @t783 @t632))) % 0.40/0.92 (define @t948 () (=> @t947 @t946)) % 0.40/0.92 (define @t949 () (or @t129 @t792)) % 0.40/0.92 (define @t950 () (forall @t28 (= @t793 @t949))) % 0.40/0.92 (define @t951 () (=> @t950 @t948)) % 0.40/0.92 (define @t952 () (=> @t831 @t951)) % 0.40/0.92 (define @t953 () (forall @t9 (= @t611 @t610))) % 0.40/0.92 (define @t954 () (forall @t12 (or (not @t953) @t3))) % 0.40/0.92 (define @t955 () (=> @t954 @t952)) % 0.40/0.92 (define @t956 () (=> @t646 (=> true @t644))) % 0.40/0.92 (define @t957 () (=> @t647 @t956)) % 0.40/0.92 (define @t958 () (=> @t648 @t957)) % 0.40/0.92 (define @t959 () (=> @t649 @t958)) % 0.40/0.92 (define @t960 () (=> @t651 @t959)) % 0.40/0.92 (define @t961 () (=> @t654 @t960)) % 0.40/0.92 (define @t962 () (=> @t646 @t961)) % 0.40/0.92 (define @t963 () (=> @t646 @t962)) % 0.40/0.92 (define @t964 () (=> @t654 @t963)) % 0.40/0.92 (define @t965 () (=> @t665 @t964)) % 0.40/0.92 (define @t966 () (=> @t680 @t965)) % 0.40/0.92 (define @t967 () (=> @t689 @t966)) % 0.40/0.92 (define @t968 () (=> true (=> true @t967))) % 0.40/0.92 (define @t969 () (=> true @t968)) % 0.40/0.92 (define @t970 () (=> true @t969)) % 0.40/0.92 (define @t971 () (=> true @t970)) % 0.40/0.92 (define @t972 () (=> @t701 @t971)) % 0.40/0.92 (define @t973 () (=> @t689 @t972)) % 0.40/0.92 (define @t974 () (=> true (=> true @t973))) % 0.40/0.92 (define @t975 () (=> @t704 @t974)) % 0.40/0.92 (define @t976 () (=> @t710 @t975)) % 0.40/0.92 (define @t977 () (=> true (=> true @t976))) % 0.40/0.92 (define @t978 () (=> true @t977)) % 0.40/0.92 (define @t979 () (=> @t713 @t978)) % 0.40/0.92 (define @t980 () (=> @t715 @t979)) % 0.40/0.92 (define @t981 () (=> true (=> true @t980))) % 0.40/0.92 (define @t982 () (=> true @t981)) % 0.40/0.92 (define @t983 () (=> true @t982)) % 0.40/0.92 (define @t984 () (=> @t719 @t983)) % 0.40/0.92 (define @t985 () (=> @t727 @t984)) % 0.40/0.92 (define @t986 () (=> @t622 @t985)) % 0.40/0.92 (define @t987 () (=> @t731 @t986)) % 0.40/0.92 (define @t988 () (=> @t736 @t987)) % 0.40/0.92 (define @t989 () (=> @t742 @t988)) % 0.40/0.92 (define @t990 () (=> @t745 @t989)) % 0.40/0.92 (define @t991 () (=> @t747 @t990)) % 0.40/0.92 (define @t992 () (=> @t749 @t991)) % 0.40/0.92 (define @t993 () (=> @t753 @t992)) % 0.40/0.92 (define @t994 () (=> @t761 @t993)) % 0.40/0.92 (define @t995 () (=> @t766 @t994)) % 0.40/0.92 (define @t996 () (=> @t773 @t995)) % 0.40/0.92 (define @t997 () (=> @t775 @t996)) % 0.40/0.92 (define @t998 () (=> @t777 @t997)) % 0.40/0.92 (define @t999 () (=> @t780 @t998)) % 0.40/0.92 (define @t1000 () (=> @t780 @t999)) % 0.40/0.92 (define @t1001 () (=> @t785 @t1000)) % 0.40/0.92 (define @t1002 () (=> @t790 @t1001)) % 0.40/0.92 (define @t1003 () (=> @t794 @t1002)) % 0.40/0.92 (define @t1004 () (=> @t794 @t1003)) % 0.40/0.92 (define @t1005 () (=> @t798 @t1004)) % 0.40/0.92 (define @t1006 () (=> @t221 @t1005)) % 0.40/0.92 (define @t1007 () (=> @t805 @t1006)) % 0.40/0.92 (define @t1008 () (=> @t810 @t1007)) % 0.40/0.92 (define @t1009 () (=> @t812 @t1008)) % 0.40/0.92 (define @t1010 () (=> @t753 @t1009)) % 0.40/0.92 (define @t1011 () (=> @t816 @t1010)) % 0.40/0.92 (define @t1012 () (=> @t818 @t1011)) % 0.40/0.92 (define @t1013 () (=> @t818 @t1012)) % 0.40/0.92 (define @t1014 () (=> @t822 @t1013)) % 0.40/0.92 (define @t1015 () (=> @t829 @t1014)) % 0.40/0.92 (define @t1016 () (=> @t831 @t1015)) % 0.40/0.92 (define @t1017 () (=> @t831 @t1016)) % 0.40/0.92 (define @t1018 () (=> @t831 @t1017)) % 0.40/0.92 (define @t1019 () (=> @t836 @t1018)) % 0.40/0.92 (define @t1020 () (=> @t839 (=> true @t1019))) % 0.40/0.92 (define @t1021 () (=> @t841 @t1020)) % 0.40/0.92 (define @t1022 () (=> @t843 @t1021)) % 0.40/0.92 (define @t1023 () (=> @t849 @t1022)) % 0.40/0.92 (define @t1024 () (=> @t901 @t1023)) % 0.40/0.92 (define @t1025 () (=> @t909 @t1024)) % 0.40/0.92 (define @t1026 () (=> @t923 @t1025)) % 0.40/0.92 (define @t1027 () (=> @t938 @t1026)) % 0.40/0.92 (define @t1028 () (=> @t941 @t1027)) % 0.40/0.92 (define @t1029 () (=> @t50 @t1028)) % 0.40/0.92 (define @t1030 () (=> @t945 @t1029)) % 0.40/0.92 (define @t1031 () (=> @t947 @t1030)) % 0.40/0.92 (define @t1032 () (=> @t950 @t1031)) % 0.40/0.92 (define @t1033 () (=> @t831 @t1032)) % 0.40/0.92 (define @t1034 () (=> @t954 @t1033)) % 0.40/0.92 (define @t1035 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 0.40/0.92 (define @t1036 () (_ tptp.setadjoin @t2)) % 0.40/0.92 (define @t1037 () (_ @t1036 @t1035)) % 0.40/0.92 (define @t1038 () (_ tptp.setunion @t1037)) % 0.40/0.92 (define @t1039 () (_ @t5 @t1038)) % 0.40/0.92 (define @t1040 () (or @t434 @t1039)) % 0.40/0.92 (define @t1041 () (lambda @t70 (_ tptp.setunion (_ @t1036 @t275)))) % 0.40/0.92 (define @t1042 () (_ @t609 @t2)) % 0.40/0.92 (define @t1043 () (_ @t5 (_ @t1042 @t1))) % 0.40/0.92 (define @t1044 () (=> @t6 @t1043)) % 0.40/0.92 (define @t1045 () (forall @t245 @t1044)) % 0.40/0.92 (define @t1046 () (=> tptp.binunionIR @t617)) % 0.40/0.92 (define @t1047 () (=> tptp.upairset2IR @t1046)) % 0.40/0.92 (define @t1048 () (or @t197 @t1039)) % 0.40/0.92 (define @t1049 () (=> @t7 @t1043)) % 0.40/0.92 (define @t1050 () (forall @t245 @t1049)) % 0.40/0.92 (define @t1051 () (=> tptp.binunionIL @t1047)) % 0.40/0.92 (define @t1052 () (lambda @t9 @t696)) % 0.40/0.92 (define @t1053 () (tptp.dsetconstr @t2 @t1052)) % 0.40/0.92 (define @t1054 () (tptp.subset @t1053 @t2)) % 0.40/0.92 (define @t1055 () (=> tptp.sepSubset @t1051)) % 0.40/0.92 (define @t1056 () (tptp.in @t1053 @t625)) % 0.40/0.92 (define @t1057 () (=> tptp.sepInPowerset @t1055)) % 0.40/0.92 (define @t1058 () (or @t438 @t482)) % 0.40/0.92 (define @t1059 () (=> tptp.powersetsubset @t1057)) % 0.40/0.92 (define @t1060 () (=> tptp.inPowerset @t1059)) % 0.40/0.92 (define @t1061 () (not @t35)) % 0.40/0.92 (define @t1062 () (or @t1061 @t424)) % 0.40/0.92 (define @t1063 () (=> tptp.powersetE1 @t1060)) % 0.40/0.92 (define @t1064 () (not @t424)) % 0.40/0.92 (define @t1065 () (or @t1064 @t35)) % 0.40/0.92 (define @t1066 () (=> tptp.powersetI1 @t1063)) % 0.40/0.92 (define @t1067 () (not @t472)) % 0.40/0.92 (define @t1068 () (or @t1067 @t196)) % 0.40/0.92 (define @t1069 () (=> tptp.subsetemptysetimpeq @t1066)) % 0.40/0.92 (define @t1070 () (or @t438 @t1064 @t3)) % 0.40/0.92 (define @t1071 () (=> tptp.setextsub @t1069)) % 0.40/0.92 (define @t1072 () (or @t438 @t466)) % 0.40/0.92 (define @t1073 () (=> tptp.subset2powerset @t1071)) % 0.40/0.92 (define @t1074 () (or @t438 @t462)) % 0.40/0.92 (define @t1075 () (=> tptp.setadjoinSub2 @t1073)) % 0.40/0.92 (define @t1076 () (=> tptp.setadjoinSub @t1075)) % 0.40/0.92 (define @t1077 () (not @t452)) % 0.40/0.92 (define @t1078 () (or @t438 @t1077 @t451)) % 0.40/0.92 (define @t1079 () (=> tptp.subsetTrans @t1076)) % 0.40/0.92 (define @t1080 () (=> tptp.subsetRefl @t1079)) % 0.40/0.92 (define @t1081 () (@list @t1 @t4)) % 0.40/0.92 (define @t1082 () (or @t618 @t610)) % 0.40/0.92 (define @t1083 () (not true)) % 0.40/0.92 (define @t1084 () (not (= @t1 @t1))) % 0.40/0.92 (define @t1085 () (or @t618 @t610 @t1084)) % 0.40/0.92 (define @t1086 () (or @t442 @t623 @t610 @t442)) % 0.40/0.92 (define @t1087 () (or @t623 @t610 @t442)) % 0.40/0.92 (define @t1088 () (forall @t64 @t1087)) % 0.40/0.92 (define @t1089 () (forall @t1081 @t1088)) % 0.40/0.92 (define @t1090 () (forall (@list @t1 @t4 @t2) @t1087)) % 0.40/0.92 (define @t1091 () (or @t197 @t6 @t442)) % 0.40/0.92 (define @t1092 () (not @t434)) % 0.40/0.92 (define @t1093 () (=> tptp.notequalI2 @t1080)) % 0.40/0.92 (define @t1094 () (or @t645 @t1084)) % 0.40/0.92 (define @t1095 () (or @t442 @t628 @t442)) % 0.40/0.92 (define @t1096 () (or @t628 @t442)) % 0.40/0.92 (define @t1097 () (forall @t64 @t1096)) % 0.40/0.92 (define @t1098 () (forall @t41 @t1097)) % 0.40/0.92 (define @t1099 () (@list @t1 @t2)) % 0.40/0.92 (define @t1100 () (forall @t1099 @t1096)) % 0.40/0.92 (define @t1101 () (or @t419 @t442)) % 0.40/0.92 (define @t1102 () (=> tptp.notequalI1 @t1093)) % 0.40/0.92 (define @t1103 () (or @t197 @t6 @t438)) % 0.40/0.92 (define @t1104 () (=> tptp.notsubsetI @t1102)) % 0.40/0.92 (define @t1105 () (or @t438 @t6 @t197)) % 0.40/0.92 (define @t1106 () (=> tptp.subsetE2 @t1104)) % 0.40/0.92 (define @t1107 () (or @t438 @t197 @t6)) % 0.40/0.92 (define @t1108 () (or @t197 @t6)) % 0.40/0.92 (define @t1109 () (=> tptp.subsetE @t1106)) % 0.40/0.92 (define @t1110 () (=> tptp.emptysetsubset @t1109)) % 0.40/0.92 (define @t1111 () (or @t653 @t419)) % 0.40/0.92 (define @t1112 () (=> tptp.subsetI2 @t1110)) % 0.40/0.92 (define @t1113 () (or @t1084 @t645)) % 0.40/0.92 (define @t1114 () (or @t442 @t442 @t628)) % 0.40/0.92 (define @t1115 () (or @t442 @t628)) % 0.40/0.92 (define @t1116 () (forall @t64 @t1115)) % 0.40/0.92 (define @t1117 () (forall @t41 @t1116)) % 0.40/0.92 (define @t1118 () (forall @t1099 @t1115)) % 0.40/0.92 (define @t1119 () (or @t442 @t419)) % 0.40/0.92 (define @t1120 () (=> tptp.eqimpsubset1 @t1112)) % 0.40/0.92 (define @t1121 () (or @t442 @t442 @t631)) % 0.40/0.92 (define @t1122 () (or @t442 @t631)) % 0.40/0.92 (define @t1123 () (forall @t64 @t1122)) % 0.40/0.92 (define @t1124 () (forall @t41 @t1123)) % 0.40/0.92 (define @t1125 () (forall @t1099 @t1122)) % 0.40/0.92 (define @t1126 () (or @t442 @t424)) % 0.40/0.92 (define @t1127 () (=> tptp.eqimpsubset2 @t1120)) % 0.40/0.92 (define @t1128 () (=> tptp.subsetI1 @t1127)) % 0.40/0.92 (define @t1129 () (or @t618 @t618 @t660)) % 0.40/0.92 (define @t1130 () (forall @t9 @t1129)) % 0.40/0.92 (define @t1131 () (not @t1130)) % 0.40/0.92 (define @t1132 () (or @t1084 @t1131 (= @t656 @t658))) % 0.40/0.92 (define @t1133 () (= (tptp.dsetconstr @t2 @t655) @t658)) % 0.40/0.92 (define @t1134 () (not (forall @t9 (or @t623 @t618 @t660)))) % 0.40/0.92 (define @t1135 () (or @t442 @t442 @t1134 @t1133)) % 0.40/0.92 (define @t1136 () (or @t442 @t1134 @t1133)) % 0.40/0.92 (define @t1137 () (forall @t64 @t1136)) % 0.40/0.92 (define @t1138 () (forall @t664 @t1137)) % 0.40/0.92 (define @t1139 () (forall (@list @t1 @t655 @t657 @t2) @t1136)) % 0.40/0.92 (define @t1140 () (@list @t2 @t1 @t655 @t657)) % 0.40/0.92 (define @t1141 () (or @t1134 @t1133)) % 0.40/0.92 (define @t1142 () (or @t442 @t1141)) % 0.40/0.92 (define @t1143 () (forall @t1140 @t1142)) % 0.40/0.92 (define @t1144 () (@list @t655 @t657)) % 0.40/0.92 (define @t1145 () (forall @t1144 @t1142)) % 0.40/0.92 (define @t1146 () (forall @t1144 @t1141)) % 0.40/0.92 (define @t1147 () (or @t442 @t1146)) % 0.40/0.92 (define @t1148 () (= @t696 @t691)) % 0.40/0.92 (define @t1149 () (forall @t9 (or @t623 @t618 @t1148))) % 0.40/0.92 (define @t1150 () (not @t1149)) % 0.40/0.92 (define @t1151 () (forall @t375 (or @t1150 (= @t624 (tptp.dsetconstr @t1 @t365))))) % 0.40/0.92 (define @t1152 () (lambda @t9 @t691)) % 0.40/0.92 (define @t1153 () (tptp.dsetconstr @t1 @t1152)) % 0.40/0.92 (define @t1154 () (= @t1053 @t1153)) % 0.40/0.92 (define @t1155 () (or @t1150 @t1154)) % 0.40/0.92 (define @t1156 () (or @t1150 @t409)) % 0.40/0.92 (define @t1157 () (or @t197 @t618 @t1148)) % 0.40/0.92 (define @t1158 () (or @t618 @t1148)) % 0.40/0.92 (define @t1159 () (not (= @t4 @t4))) % 0.40/0.92 (define @t1160 () (or @t618 @t1159 @t1148)) % 0.40/0.92 (define @t1161 () (= @t696 @t667)) % 0.40/0.92 (define @t1162 () (tptp.in @t19 @t1)) % 0.40/0.92 (define @t1163 () (not @t1162)) % 0.40/0.92 (define @t1164 () (or @t282 @t1163 @t282 @t1161)) % 0.40/0.92 (define @t1165 () (or @t1163 @t282 @t1161)) % 0.40/0.92 (define @t1166 () (not @t351)) % 0.40/0.92 (define @t1167 () (or @t1166 @t282 @t371)) % 0.40/0.92 (define @t1168 () (or @t282 @t371)) % 0.40/0.92 (define @t1169 () (=> tptp.dsetconstr__Cong @t1128)) % 0.40/0.92 (define @t1170 () (or @t668 (= @t666 @t19))) % 0.40/0.92 (define @t1171 () (forall @t70 @t1170)) % 0.40/0.92 (define @t1172 () (not @t1171)) % 0.40/0.92 (define @t1173 () (or @t672 (= @t670 @t19))) % 0.40/0.92 (define @t1174 () (forall @t70 @t1173)) % 0.40/0.92 (define @t1175 () (not @t1174)) % 0.40/0.92 (define @t1176 () (or @t678 @t675 @t673 @t1175 @t669 @t1172)) % 0.40/0.92 (define @t1177 () (or @t669 @t1172)) % 0.40/0.92 (define @t1178 () (or @t673 @t1175)) % 0.40/0.92 (define @t1179 () (or @t678 @t1178 @t1177 @t675)) % 0.40/0.92 (define @t1180 () (forall @t679 @t1179)) % 0.40/0.92 (define @t1181 () (forall (@list @t670 @t666) @t1179)) % 0.40/0.92 (define @t1182 () (forall (@list @t666) @t1177)) % 0.40/0.92 (define @t1183 () (@list @t4)) % 0.40/0.92 (define @t1184 () (forall (@list @t670) @t1178)) % 0.40/0.92 (define @t1185 () (or @t678 @t1184 @t1182 @t675)) % 0.40/0.92 (define @t1186 () (tptp.descr @t1152)) % 0.40/0.92 (define @t1187 () (tptp.descr @t1052)) % 0.40/0.92 (define @t1188 () (= @t1187 @t1186)) % 0.40/0.92 (define @t1189 () (or @t678 @t698 @t692 @t1188)) % 0.40/0.92 (define @t1190 () (or @t678 @t698 @t692 @t401)) % 0.40/0.92 (define @t1191 () (or @t698 @t692 @t401)) % 0.40/0.92 (define @t1192 () (=> @t693 @t401)) % 0.40/0.92 (define @t1193 () (not @t699)) % 0.40/0.92 (define @t1194 () (=> @t699 @t1192)) % 0.40/0.92 (define @t1195 () (not @t366)) % 0.40/0.92 (define @t1196 () (or @t1195 @t690)) % 0.40/0.92 (define @t1197 () (not @t370)) % 0.40/0.92 (define @t1198 () (or @t1197 @t129)) % 0.40/0.92 (define @t1199 () (_ @t367 @t19)) % 0.40/0.92 (define @t1200 () (not @t1199)) % 0.40/0.92 (define @t1201 () (or @t1200 @t129)) % 0.40/0.92 (define @t1202 () (forall @t70 @t1201)) % 0.40/0.92 (define @t1203 () (not @t1202)) % 0.40/0.92 (define @t1204 () (_ @t367 @t4)) % 0.40/0.92 (define @t1205 () (not @t1204)) % 0.40/0.92 (define @t1206 () (or @t1205 @t1203)) % 0.40/0.92 (define @t1207 () (forall @t9 @t1206)) % 0.40/0.92 (define @t1208 () (not @t1207)) % 0.40/0.92 (define @t1209 () (lambda @t150 @t699)) % 0.40/0.92 (define @t1210 () (_ @t1209 @t367)) % 0.40/0.92 (define @t1211 () (=> @t1210 @t401)) % 0.40/0.92 (define @t1212 () (or @t315 @t695)) % 0.40/0.92 (define @t1213 () (not @t153)) % 0.40/0.92 (define @t1214 () (or @t1213 @t129)) % 0.40/0.92 (define @t1215 () (_ @t145 @t19)) % 0.40/0.92 (define @t1216 () (not @t1215)) % 0.40/0.92 (define @t1217 () (or @t1216 @t129)) % 0.40/0.92 (define @t1218 () (forall @t70 @t1217)) % 0.40/0.92 (define @t1219 () (not @t1218)) % 0.40/0.92 (define @t1220 () (_ @t145 @t4)) % 0.40/0.92 (define @t1221 () (not @t1220)) % 0.40/0.92 (define @t1222 () (or @t1221 @t1219)) % 0.40/0.92 (define @t1223 () (forall @t9 @t1222)) % 0.40/0.92 (define @t1224 () (not @t1223)) % 0.40/0.92 (define @t1225 () (_ @t1209 @t145)) % 0.40/0.92 (define @t1226 () (=> @t1225 @t1211)) % 0.40/0.92 (define @t1227 () (not (= @t19 @t19))) % 0.40/0.92 (define @t1228 () (or @t1227 @t676)) % 0.40/0.92 (define @t1229 () (or @t282 @t282 @t1161)) % 0.40/0.92 (define @t1230 () (or @t282 @t1161)) % 0.40/0.92 (define @t1231 () (forall @t9 @t1230)) % 0.40/0.92 (define @t1232 () (forall @t70 @t1231)) % 0.40/0.92 (define @t1233 () (@list @t19 @t4)) % 0.40/0.92 (define @t1234 () (forall @t1233 @t1230)) % 0.40/0.92 (define @t1235 () (=> @t373 @t1226)) % 0.40/0.92 (define @t1236 () (forall @t375 @t1235)) % 0.40/0.92 (define @t1237 () (and @t144 @t694)) % 0.40/0.92 (define @t1238 () (forall @t9 (not @t1237))) % 0.40/0.92 (define @t1239 () (not @t1238)) % 0.40/0.92 (define @t1240 () (=> tptp.descr__Cong @t1169)) % 0.40/0.92 (define @t1241 () (or @t672 (= @t686 @t19))) % 0.40/0.92 (define @t1242 () (forall @t70 @t1241)) % 0.40/0.92 (define @t1243 () (not @t1242)) % 0.40/0.92 (define @t1244 () (or @t687 @t1243 @t685 @t684 @t683)) % 0.40/0.92 (define @t1245 () (or @t685 @t684 @t683)) % 0.40/0.92 (define @t1246 () (or @t687 @t1243)) % 0.40/0.92 (define @t1247 () (or @t1246 @t1245)) % 0.40/0.92 (define @t1248 () (forall @t688 @t1247)) % 0.40/0.92 (define @t1249 () (forall (@list @t686 @t682 @t681) @t1247)) % 0.40/0.92 (define @t1250 () (forall (@list @t682 @t681) @t1245)) % 0.40/0.92 (define @t1251 () (forall (@list @t686) @t1246)) % 0.40/0.92 (define @t1252 () (or @t1251 @t1250)) % 0.40/0.92 (define @t1253 () (or @t315 @t1213 @t129)) % 0.40/0.92 (define @t1254 () (=> @t1225 @t343)) % 0.40/0.92 (define @t1255 () (forall @t150 @t1254)) % 0.40/0.92 (define @t1256 () (=> tptp.exuEu @t1240)) % 0.40/0.92 (define @t1257 () (=> tptp.omega__Cong @t1256)) % 0.40/0.92 (define @t1258 () (tptp.setunion @t1)) % 0.40/0.92 (define @t1259 () (or @t1084 (= @t1258 @t1258))) % 0.40/0.92 (define @t1260 () (= @t763 @t1258)) % 0.40/0.92 (define @t1261 () (or @t442 @t442 @t1260)) % 0.40/0.92 (define @t1262 () (or @t442 @t1260)) % 0.40/0.92 (define @t1263 () (forall @t64 @t1262)) % 0.40/0.92 (define @t1264 () (forall @t41 @t1263)) % 0.40/0.92 (define @t1265 () (forall @t1099 @t1262)) % 0.40/0.92 (define @t1266 () (or @t442 @t395)) % 0.40/0.92 (define @t1267 () (=> tptp.setunion__Cong @t1257)) % 0.40/0.92 (define @t1268 () (or @t1084 (= @t626 @t626))) % 0.40/0.92 (define @t1269 () (= @t625 @t626)) % 0.40/0.92 (define @t1270 () (or @t442 @t442 @t1269)) % 0.40/0.92 (define @t1271 () (or @t442 @t1269)) % 0.40/0.92 (define @t1272 () (forall @t64 @t1271)) % 0.40/0.92 (define @t1273 () (forall @t41 @t1272)) % 0.40/0.92 (define @t1274 () (forall @t1099 @t1271)) % 0.40/0.92 (define @t1275 () (or @t442 @t391)) % 0.40/0.92 (define @t1276 () (=> tptp.powerset__Cong @t1267)) % 0.40/0.92 (define @t1277 () (@var "BOUND_VARIABLE_9482" $$unsorted)) % 0.40/0.92 (define @t1278 () (@list @t19 @t1277)) % 0.40/0.92 (define @t1279 () (tptp.setadjoin @t19 @t1277)) % 0.40/0.92 (define @t1280 () (or @t1227 (= @t1279 @t1279))) % 0.40/0.92 (define @t1281 () (= @t1279 (tptp.setadjoin @t4 @t1277))) % 0.40/0.92 (define @t1282 () (or @t282 @t282 @t1281)) % 0.40/0.92 (define @t1283 () (or @t282 @t1281)) % 0.40/0.92 (define @t1284 () (forall @t9 @t1283)) % 0.40/0.92 (define @t1285 () (forall @t1278 @t1284)) % 0.40/0.92 (define @t1286 () (forall (@list @t19 @t1277 @t4) @t1283)) % 0.40/0.92 (define @t1287 () (forall (@list @t4 @t19 @t1277) @t1283)) % 0.40/0.92 (define @t1288 () (@list @t1277)) % 0.40/0.92 (define @t1289 () (forall @t1288 @t1283)) % 0.40/0.92 (define @t1290 () (forall @t1288 @t1281)) % 0.40/0.92 (define @t1291 () (or @t282 @t1290)) % 0.40/0.92 (define @t1292 () (tptp.setadjoin @t4 @t380)) % 0.40/0.92 (define @t1293 () (tptp.setadjoin @t19 @t380)) % 0.40/0.92 (define @t1294 () (= @t1293 @t1292)) % 0.40/0.92 (define @t1295 () (@list @t380)) % 0.40/0.92 (define @t1296 () (forall @t1295 @t1294)) % 0.40/0.92 (define @t1297 () (not (= @t380 @t380))) % 0.40/0.92 (define @t1298 () (or @t1297 (= @t1292 @t1293))) % 0.40/0.92 (define @t1299 () (tptp.setadjoin @t4 @t289)) % 0.40/0.92 (define @t1300 () (= @t1299 @t1293)) % 0.40/0.92 (define @t1301 () (not @t384)) % 0.40/0.92 (define @t1302 () (or @t1301 @t1301 @t1300)) % 0.40/0.92 (define @t1303 () (@list @t289)) % 0.40/0.92 (define @t1304 () (or @t1301 @t1300)) % 0.40/0.92 (define @t1305 () (forall @t1303 @t1304)) % 0.40/0.92 (define @t1306 () (forall @t1295 @t1305)) % 0.40/0.92 (define @t1307 () (forall (@list @t380 @t289) @t1304)) % 0.40/0.92 (define @t1308 () (or @t1301 @t383)) % 0.40/0.92 (define @t1309 () (=> tptp.setadjoin__Cong @t1276)) % 0.40/0.92 (define @t1310 () (=> tptp.emptyset__Cong @t1309)) % 0.40/0.92 (define @t1311 () (= @t1225 @t1210)) % 0.40/0.92 (define @t1312 () (=> @t373 @t1311)) % 0.40/0.92 (define @t1313 () (forall @t375 @t1312)) % 0.40/0.92 (define @t1314 () (=> tptp.exu__Cong @t1310)) % 0.40/0.92 (define @t1315 () (=> tptp.exuE3u @t1314)) % 0.40/0.92 (define @t1316 () (@var "BOUND_VARIABLE_9355" $$unsorted)) % 0.40/0.92 (define @t1317 () (@list @t1 @t1316)) % 0.40/0.92 (define @t1318 () (tptp.in @t1316 @t1)) % 0.40/0.92 (define @t1319 () (or @t1084 (= @t1318 @t1318))) % 0.40/0.92 (define @t1320 () (= (tptp.in @t1316 @t2) @t1318)) % 0.40/0.92 (define @t1321 () (or @t442 @t442 @t1320)) % 0.40/0.92 (define @t1322 () (or @t442 @t1320)) % 0.40/0.92 (define @t1323 () (forall @t64 @t1322)) % 0.40/0.92 (define @t1324 () (forall @t1317 @t1323)) % 0.40/0.92 (define @t1325 () (forall (@list @t1 @t1316 @t2) @t1322)) % 0.40/0.92 (define @t1326 () (forall (@list @t2 @t1 @t1316) @t1322)) % 0.40/0.92 (define @t1327 () (@list @t1316)) % 0.40/0.92 (define @t1328 () (forall @t1327 @t1322)) % 0.40/0.92 (define @t1329 () (forall @t1327 @t1320)) % 0.40/0.92 (define @t1330 () (@list @t19)) % 0.40/0.92 (define @t1331 () (or @t442 @t1329)) % 0.40/0.92 (define @t1332 () (= @t792 @t1162)) % 0.40/0.92 (define @t1333 () (forall @t70 @t1332)) % 0.40/0.92 (define @t1334 () (or @t1227 @t1332)) % 0.40/0.92 (define @t1335 () (= @t611 @t1162)) % 0.40/0.92 (define @t1336 () (or @t282 @t282 @t1335)) % 0.40/0.92 (define @t1337 () (or @t282 @t1335)) % 0.40/0.92 (define @t1338 () (forall @t9 @t1337)) % 0.40/0.92 (define @t1339 () (forall @t70 @t1338)) % 0.40/0.92 (define @t1340 () (forall @t1233 @t1337)) % 0.40/0.92 (define @t1341 () (or @t282 @t357)) % 0.40/0.92 (define @t1342 () (=> tptp.in__Cong @t1315)) % 0.40/0.92 (define @t1343 () (@var "BOUND_VARIABLE_9318" $$unsorted)) % 0.40/0.92 (define @t1344 () (@list @t1 @t1343)) % 0.40/0.92 (define @t1345 () (tptp.in @t1343 @t1)) % 0.40/0.92 (define @t1346 () (not @t1345)) % 0.40/0.92 (define @t1347 () (or @t1346 @t1345)) % 0.40/0.92 (define @t1348 () (or @t1084 @t1346 @t1345)) % 0.40/0.92 (define @t1349 () (not (tptp.in @t1343 @t2))) % 0.40/0.92 (define @t1350 () (or @t442 @t442 @t1349 @t1345)) % 0.40/0.92 (define @t1351 () (or @t442 @t1349 @t1345)) % 0.40/0.92 (define @t1352 () (forall @t64 @t1351)) % 0.40/0.92 (define @t1353 () (forall @t1344 @t1352)) % 0.40/0.92 (define @t1354 () (forall (@list @t1 @t1343 @t2) @t1351)) % 0.40/0.92 (define @t1355 () (@list @t2 @t1 @t1343)) % 0.40/0.92 (define @t1356 () (or @t1349 @t1345)) % 0.40/0.92 (define @t1357 () (or @t442 @t1356)) % 0.40/0.92 (define @t1358 () (forall @t1355 @t1357)) % 0.40/0.92 (define @t1359 () (@list @t1343)) % 0.40/0.92 (define @t1360 () (forall @t1359 @t1357)) % 0.40/0.92 (define @t1361 () (forall @t1359 @t1356)) % 0.40/0.92 (define @t1362 () (or @t442 @t1361)) % 0.40/0.92 (define @t1363 () (or @t797 @t1162)) % 0.40/0.92 (define @t1364 () (forall @t70 @t1363)) % 0.40/0.92 (define @t1365 () (or @t1227 @t797 @t1162)) % 0.40/0.92 (define @t1366 () (or @t282 @t282 @t623 @t1162)) % 0.40/0.92 (define @t1367 () (or @t282 @t623 @t1162)) % 0.40/0.92 (define @t1368 () (forall @t9 @t1367)) % 0.40/0.92 (define @t1369 () (forall @t70 @t1368)) % 0.40/0.92 (define @t1370 () (forall @t1233 @t1367)) % 0.40/0.92 (define @t1371 () (or @t282 @t197 @t351)) % 0.40/0.92 (define @t1372 () (=> tptp.inCongP @t1342)) % 0.40/0.92 (define @t1373 () (= @t702 @t19)) % 0.40/0.92 (define @t1374 () (forall @t70 (= @t1373 @t671))) % 0.40/0.92 (define @t1375 () (not @t1374)) % 0.40/0.92 (define @t1376 () (or @t1375 @t699)) % 0.40/0.92 (define @t1377 () (forall @t703 @t1376)) % 0.40/0.92 (define @t1378 () (@list @t702)) % 0.40/0.92 (define @t1379 () (forall @t1378 @t1376)) % 0.40/0.92 (define @t1380 () (forall @t1378 @t1375)) % 0.40/0.92 (define @t1381 () (or @t1380 @t699)) % 0.40/0.92 (define @t1382 () (= @t153 @t129)) % 0.40/0.92 (define @t1383 () (=> @t265 @t1225)) % 0.40/0.92 (define @t1384 () (forall @t150 @t1383)) % 0.40/0.92 (define @t1385 () (=> tptp.exuI2 @t1372)) % 0.40/0.92 (define @t1386 () (@list @t707)) % 0.40/0.92 (define @t1387 () (forall @t1386 @t709)) % 0.40/0.92 (define @t1388 () (forall @t1386 @t708)) % 0.40/0.92 (define @t1389 () (or @t1388 @t706 @t699)) % 0.40/0.92 (define @t1390 () (or @t826 @t706 @t699)) % 0.40/0.92 (define @t1391 () (=> @t705 @t699)) % 0.40/0.92 (define @t1392 () (=> @t343 @t1225)) % 0.40/0.92 (define @t1393 () (forall @t9 @t315)) % 0.40/0.92 (define @t1394 () (not @t1393)) % 0.40/0.92 (define @t1395 () (=> @t186 @t1392)) % 0.40/0.92 (define @t1396 () (forall @t150 @t1395)) % 0.40/0.92 (define @t1397 () (=> tptp.exuI3 @t1385)) % 0.40/0.92 (define @t1398 () (=> @t169 @t1225)) % 0.40/0.92 (define @t1399 () (forall @t150 @t1398)) % 0.40/0.92 (define @t1400 () (=> tptp.exuI1 @t1397)) % 0.40/0.92 (define @t1401 () (forall @t9 (or @t623 @t696))) % 0.40/0.92 (define @t1402 () (not @t1401)) % 0.40/0.92 (define @t1403 () (or @t197 @t144)) % 0.40/0.92 (define @t1404 () (forall @t9 (not @t316))) % 0.40/0.92 (define @t1405 () (not @t1404)) % 0.40/0.92 (define @t1406 () (=> tptp.notdallE @t1400)) % 0.40/0.92 (define @t1407 () (forall @t9 (or @t623 @t697))) % 0.40/0.92 (define @t1408 () (or @t197 @t315)) % 0.40/0.92 (define @t1409 () (forall @t9 (not @t306))) % 0.40/0.92 (define @t1410 () (not @t1409)) % 0.40/0.92 (define @t1411 () (=> tptp.notdexE @t1406)) % 0.40/0.92 (define @t1412 () (or @t1083 @t713)) % 0.40/0.92 (define @t1413 () (tptp.prop2set @t173)) % 0.40/0.92 (define @t1414 () (tptp.set2prop @t1413)) % 0.40/0.92 (define @t1415 () (not @t173)) % 0.40/0.92 (define @t1416 () (not (= @t173 true))) % 0.40/0.92 (define @t1417 () (or @t1415 @t1415 @t1414)) % 0.40/0.92 (define @t1418 () (or @t1415 @t1414)) % 0.40/0.92 (define @t1419 () (or @t1415 @t337)) % 0.40/0.92 (define @t1420 () (=> tptp.prop2set2propI @t1411)) % 0.40/0.92 (define @t1421 () (or @t1083 @t715)) % 0.40/0.92 (define @t1422 () (tptp.in tptp.emptyset @t1413)) % 0.40/0.92 (define @t1423 () (or @t1415 @t1415 @t1422)) % 0.40/0.92 (define @t1424 () (or @t1415 @t1422)) % 0.40/0.92 (define @t1425 () (or @t1415 @t334)) % 0.40/0.92 (define @t1426 () (=> tptp.prop2setI @t1420)) % 0.40/0.92 (define @t1427 () (=> tptp.quantDeMorgan4 @t1426)) % 0.40/0.92 (define @t1428 () (=> tptp.quantDeMorgan3 @t1427)) % 0.40/0.92 (define @t1429 () (=> tptp.quantDeMorgan2 @t1428)) % 0.40/0.92 (define @t1430 () (=> tptp.quantDeMorgan1 @t1429)) % 0.40/0.92 (define @t1431 () (or @t16 @t144)) % 0.40/0.92 (define @t1432 () (=> tptp.vacuousDall @t1430)) % 0.40/0.92 (define @t1433 () (or @t723 @t722)) % 0.40/0.92 (define @t1434 () (or @t1433 @t724)) % 0.40/0.92 (define @t1435 () (forall @t726 @t1434)) % 0.40/0.92 (define @t1436 () (@list @t721)) % 0.40/0.92 (define @t1437 () (forall @t1436 @t1434)) % 0.40/0.92 (define @t1438 () (forall @t1436 @t1433)) % 0.40/0.92 (define @t1439 () (or @t1438 @t724)) % 0.40/0.92 (define @t1440 () (= tptp.emptyset @t1053)) % 0.40/0.92 (define @t1441 () (not @t1440)) % 0.40/0.92 (define @t1442 () (or @t1407 @t1441)) % 0.40/0.92 (define @t1443 () (= tptp.emptyset @t304)) % 0.40/0.92 (define @t1444 () (not @t1443)) % 0.40/0.92 (define @t1445 () (or @t1407 @t1444)) % 0.40/0.92 (define @t1446 () (not @t1407)) % 0.40/0.92 (define @t1447 () (=> tptp.emptyE1 @t1432)) % 0.40/0.92 (define @t1448 () (=> tptp.upairsetIR @t1447)) % 0.40/0.92 (define @t1449 () (=> tptp.upairsetIL @t1448)) % 0.40/0.92 (define @t1450 () (not @t293)) % 0.40/0.92 (define @t1451 () (or @t1450 @t734 @t733)) % 0.40/0.92 (define @t1452 () (or @t734 @t733)) % 0.40/0.92 (define @t1453 () (=> tptp.upairsetE @t1449)) % 0.40/0.92 (define @t1454 () (not @t276)) % 0.40/0.92 (define @t1455 () (or @t1454 @t280)) % 0.40/0.92 (define @t1456 () (=> tptp.singletonsswitch @t1453)) % 0.40/0.92 (define @t1457 () (or @t1227 @t744)) % 0.40/0.92 (define @t1458 () (or @t282 @t282 @t740)) % 0.40/0.92 (define @t1459 () (or @t282 @t740)) % 0.40/0.92 (define @t1460 () (forall @t9 @t1459)) % 0.40/0.92 (define @t1461 () (forall @t70 @t1460)) % 0.40/0.92 (define @t1462 () (forall @t1233 @t1459)) % 0.40/0.92 (define @t1463 () (or @t282 @t276)) % 0.40/0.92 (define @t1464 () (=> tptp.eqinunit @t1456)) % 0.40/0.92 (define @t1465 () (or @t129 @t281)) % 0.40/0.92 (define @t1466 () (=> tptp.notinsingleton @t1464)) % 0.40/0.92 (define @t1467 () (or @t1454 @t129)) % 0.40/0.92 (define @t1468 () (=> tptp.uniqinunit @t1466)) % 0.40/0.92 (define @t1469 () (not @t196)) % 0.40/0.92 (define @t1470 () (not @t198)) % 0.40/0.92 (define @t1471 () (_ @t608 @t2)) % 0.40/0.92 (define @t1472 () (=> @t1471 @t270)) % 0.40/0.92 (define @t1473 () (forall @t64 @t1472)) % 0.40/0.92 (define @t1474 () (=> tptp.nonemptyImpWitness @t1468)) % 0.40/0.92 (define @t1475 () (or @t672 (= @t755 @t19))) % 0.40/0.92 (define @t1476 () (forall @t70 @t1475)) % 0.40/0.92 (define @t1477 () (not @t1476)) % 0.40/0.92 (define @t1478 () (or @t759 @t756 @t1477)) % 0.40/0.92 (define @t1479 () (or @t756 @t1477)) % 0.40/0.92 (define @t1480 () (or @t1479 @t759)) % 0.40/0.92 (define @t1481 () (forall @t760 @t1480)) % 0.40/0.92 (define @t1482 () (@list @t755)) % 0.40/0.92 (define @t1483 () (forall @t1482 @t1480)) % 0.40/0.92 (define @t1484 () (forall @t1482 @t1479)) % 0.40/0.92 (define @t1485 () (or @t1484 @t759)) % 0.40/0.92 (define @t1486 () (=> @t1225 @t265)) % 0.40/0.92 (define @t1487 () (forall @t150 @t1486)) % 0.40/0.92 (define @t1488 () (=> tptp.exuE2 @t1474)) % 0.40/0.92 (define @t1489 () (or @t197 @t260)) % 0.40/0.92 (define @t1490 () (=> tptp.subPowSU @t1488)) % 0.40/0.92 (define @t1491 () (not @t44)) % 0.40/0.92 (define @t1492 () (or @t1491 @t771)) % 0.40/0.92 (define @t1493 () (not false)) % 0.40/0.92 (define @t1494 () (and @t1493 @t771)) % 0.40/0.92 (define @t1495 () (or @t1494 false)) % 0.40/0.92 (define @t1496 () (and @t1415 @t771)) % 0.40/0.92 (define @t1497 () (not (= @t173 false))) % 0.40/0.92 (define @t1498 () (or @t173 @t1496 @t173)) % 0.40/0.92 (define @t1499 () (or @t1496 @t173)) % 0.40/0.92 (define @t1500 () (or @t173 @t770)) % 0.40/0.92 (define @t1501 () (not @t39)) % 0.40/0.92 (define @t1502 () (or @t434 @t1501)) % 0.40/0.92 (define @t1503 () (forall @t41 @t1502)) % 0.40/0.92 (define @t1504 () (or @t173 @t1503)) % 0.40/0.92 (define @t1505 () (or @t173 @t1502)) % 0.40/0.92 (define @t1506 () (or @t434 @t1501 @t173)) % 0.40/0.92 (define @t1507 () (=> tptp.setunionE @t1490)) % 0.40/0.92 (define @t1508 () (or @t434 @t1501 @t44)) % 0.40/0.92 (define @t1509 () (=> tptp.setunionI @t1507)) % 0.40/0.92 (define @t1510 () (or @t1061 @t434 @t7)) % 0.40/0.92 (define @t1511 () (or @t434 @t7)) % 0.40/0.92 (define @t1512 () (=> tptp.powersetE @t1509)) % 0.40/0.92 (define @t1513 () (=> tptp.emptyInPowerset @t1512)) % 0.40/0.92 (define @t1514 () (=> tptp.emptyinPowerset @t1513)) % 0.40/0.92 (define @t1515 () (or @t784 @t35)) % 0.40/0.92 (define @t1516 () (=> tptp.powersetI @t1514)) % 0.40/0.92 (define @t1517 () (_ @t155 @t788)) % 0.40/0.92 (define @t1518 () (= @t2 @t1517)) % 0.40/0.92 (define @t1519 () (=> tptp.setoftrueEq @t1516)) % 0.40/0.92 (define @t1520 () (not @t26)) % 0.40/0.92 (define @t1521 () (or @t1520 @t129 @t21)) % 0.40/0.92 (define @t1522 () (or @t129 @t21)) % 0.40/0.92 (define @t1523 () (=> tptp.setadjoinOr @t1519)) % 0.40/0.92 (define @t1524 () (or @t1520 @t129 @t792)) % 0.40/0.92 (define @t1525 () (and @t792 @t1493)) % 0.40/0.92 (define @t1526 () (and @t129 @t1493)) % 0.40/0.92 (define @t1527 () (or @t1526 @t1525)) % 0.40/0.92 (define @t1528 () (or @t1526 @t1525 false)) % 0.40/0.92 (define @t1529 () (and @t792 @t1415)) % 0.40/0.92 (define @t1530 () (and @t129 @t1415)) % 0.40/0.92 (define @t1531 () (or @t173 @t1530 @t1529 @t173)) % 0.40/0.92 (define @t1532 () (or @t1530 @t1529 @t173)) % 0.40/0.92 (define @t1533 () (and @t21 @t1415)) % 0.40/0.92 (define @t1534 () (or @t1530 @t1533 @t173)) % 0.40/0.92 (define @t1535 () (=> @t129 @t173)) % 0.40/0.92 (define @t1536 () (=> tptp.setadjoinE @t1523)) % 0.40/0.92 (define @t1537 () (not @t21)) % 0.40/0.92 (define @t1538 () (or @t1537 @t26)) % 0.40/0.92 (define @t1539 () (=> tptp.setadjoinIR @t1536)) % 0.40/0.92 (define @t1540 () (=> tptp.emptyinunitempty @t1539)) % 0.40/0.92 (define @t1541 () (=> tptp.setadjoinIL @t1540)) % 0.40/0.92 (define @t1542 () (not @t378)) % 0.40/0.92 (define @t1543 () (or @t808 @t1542)) % 0.40/0.92 (define @t1544 () (not (tptp.in @t807 @t2))) % 0.40/0.92 (define @t1545 () (or @t1469 @t1544 @t1469)) % 0.40/0.92 (define @t1546 () (or @t1544 @t1469)) % 0.40/0.92 (define @t1547 () (forall @t64 @t1546)) % 0.40/0.92 (define @t1548 () (forall @t809 @t1547)) % 0.40/0.92 (define @t1549 () (forall (@list @t807 @t2) @t1546)) % 0.40/0.92 (define @t1550 () (forall (@list @t2 @t807) @t1546)) % 0.40/0.92 (define @t1551 () (forall @t809 @t1546)) % 0.40/0.92 (define @t1552 () (forall @t809 @t1544)) % 0.40/0.92 (define @t1553 () (or @t1552 @t1469)) % 0.40/0.92 (define @t1554 () (not @t752)) % 0.40/0.92 (define @t1555 () (=> @t89 @t1471)) % 0.40/0.92 (define @t1556 () (forall @t64 @t1555)) % 0.40/0.92 (define @t1557 () (=> tptp.nonemptyI1 @t1541)) % 0.40/0.92 (define @t1558 () (lambda @t70 @t671)) % 0.40/0.92 (define @t1559 () (tptp.dsetconstr @t2 @t1558)) % 0.40/0.92 (define @t1560 () (= tptp.emptyset @t1559)) % 0.40/0.92 (define @t1561 () (not @t1560)) % 0.40/0.92 (define @t1562 () (or @t623 @t697 @t1561)) % 0.40/0.92 (define @t1563 () (= tptp.emptyset @t156)) % 0.40/0.92 (define @t1564 () (not @t1563)) % 0.40/0.92 (define @t1565 () (or @t197 @t315 @t1564)) % 0.40/0.92 (define @t1566 () (=> @t144 @t1564)) % 0.40/0.92 (define @t1567 () (not (= @t156 tptp.emptyset))) % 0.40/0.92 (define @t1568 () (_ @t608 @t156)) % 0.40/0.92 (define @t1569 () (=> @t144 @t1568)) % 0.40/0.92 (define @t1570 () (=> @t7 @t1569)) % 0.40/0.92 (define @t1571 () (forall @t159 @t1570)) % 0.40/0.92 (define @t1572 () (=> tptp.nonemptyI @t1557)) % 0.40/0.92 (define @t1573 () (=> @t1471 @t89)) % 0.40/0.92 (define @t1574 () (forall @t64 @t1573)) % 0.40/0.92 (define @t1575 () (=> tptp.nonemptyE1 @t1572)) % 0.40/0.92 (define @t1576 () (tptp.in @t4 @t1559)) % 0.40/0.92 (define @t1577 () (= @t696 @t1576)) % 0.40/0.92 (define @t1578 () (or @t623 @t1577)) % 0.40/0.92 (define @t1579 () (= @t144 @t157)) % 0.40/0.92 (define @t1580 () (or @t197 @t1579)) % 0.40/0.92 (define @t1581 () (=> tptp.setbeta @t1575)) % 0.40/0.92 (define @t1582 () (=> tptp.noeltsimpempty @t1581)) % 0.40/0.92 (define @t1583 () (=> tptp.emptyI @t1582)) % 0.40/0.92 (define @t1584 () (=> @t783 @t3)) % 0.40/0.92 (define @t1585 () (=> tptp.setext @t1583)) % 0.40/0.92 (define @t1586 () (or @t672 (= @t824 @t19))) % 0.40/0.92 (define @t1587 () (forall @t70 @t1586)) % 0.40/0.92 (define @t1588 () (not @t1587)) % 0.40/0.92 (define @t1589 () (or @t827 @t825 @t1588)) % 0.40/0.92 (define @t1590 () (or @t825 @t1588)) % 0.40/0.92 (define @t1591 () (or @t1590 @t827)) % 0.40/0.92 (define @t1592 () (forall @t828 @t1591)) % 0.40/0.92 (define @t1593 () (@list @t824)) % 0.40/0.92 (define @t1594 () (forall @t1593 @t1591)) % 0.40/0.92 (define @t1595 () (forall @t1593 @t1590)) % 0.40/0.92 (define @t1596 () (or @t1595 @t827)) % 0.40/0.92 (define @t1597 () (=> @t1225 @t186)) % 0.40/0.92 (define @t1598 () (forall @t150 @t1597)) % 0.40/0.92 (define @t1599 () (=> tptp.exuE3e @t1585)) % 0.40/0.92 (define @t1600 () (=> tptp.notinemptyset @t1599)) % 0.40/0.92 (define @t1601 () (=> tptp.emptysetimpfalse @t1600)) % 0.40/0.92 (define @t1602 () (or @t173 @t173)) % 0.40/0.92 (define @t1603 () (=> tptp.emptysetE @t1601)) % 0.40/0.92 (define @t1604 () (or @t835 false)) % 0.40/0.92 (define @t1605 () (tptp.in @t4 @t1413)) % 0.40/0.92 (define @t1606 () (not @t1605)) % 0.40/0.92 (define @t1607 () (or @t173 @t1606 @t173)) % 0.40/0.92 (define @t1608 () (or @t1606 @t173)) % 0.40/0.92 (define @t1609 () (forall @t179 @t1608)) % 0.40/0.92 (define @t1610 () (forall @t9 @t1609)) % 0.40/0.92 (define @t1611 () (forall (@list @t4 @t173) @t1608)) % 0.40/0.92 (define @t1612 () (not @t175)) % 0.40/0.92 (define @t1613 () (or @t1612 @t173)) % 0.40/0.92 (define @t1614 () (=> tptp.prop2setE @t1603)) % 0.40/0.92 (define @t1615 () (=> @t1225 @t169)) % 0.40/0.92 (define @t1616 () (forall @t150 @t1615)) % 0.40/0.92 (define @t1617 () (=> tptp.exuE1 @t1614)) % 0.40/0.92 (define @t1618 () (not @t1576)) % 0.40/0.92 (define @t1619 () (or @t1618 @t696)) % 0.40/0.92 (define @t1620 () (not @t157)) % 0.40/0.92 (define @t1621 () (or @t1620 @t144)) % 0.40/0.92 (define @t1622 () (=> tptp.dsetconstrER @t1617)) % 0.40/0.92 (define @t1623 () (or @t1618 @t611)) % 0.40/0.92 (define @t1624 () (or @t1620 @t7)) % 0.40/0.92 (define @t1625 () (=> tptp.dsetconstrEL @t1622)) % 0.40/0.92 (define @t1626 () (or @t623 @t697 @t1576)) % 0.40/0.92 (define @t1627 () (or @t197 @t315 @t157)) % 0.40/0.92 (define @t1628 () (=> tptp.dsetconstrI @t1625)) % 0.40/0.92 (define @t1629 () (or @t672 (= @t845 @t19))) % 0.40/0.92 (define @t1630 () (forall @t70 @t1629)) % 0.40/0.92 (define @t1631 () (not @t1630)) % 0.40/0.92 (define @t1632 () (or @t847 @t846 @t1631)) % 0.40/0.92 (define @t1633 () (or @t846 @t1631)) % 0.40/0.92 (define @t1634 () (or @t1633 @t847)) % 0.40/0.92 (define @t1635 () (forall @t848 @t1634)) % 0.40/0.92 (define @t1636 () (@list @t845)) % 0.40/0.92 (define @t1637 () (forall @t1636 @t1634)) % 0.40/0.92 (define @t1638 () (forall @t1636 @t1633)) % 0.40/0.92 (define @t1639 () (or @t1638 @t847)) % 0.40/0.92 (define @t1640 () (_ @t143 @t1187)) % 0.40/0.92 (define @t1641 () (or @t698 @t1640)) % 0.40/0.92 (define @t1642 () (or @t698 @t147)) % 0.40/0.92 (define @t1643 () (=> @t1225 @t147)) % 0.40/0.92 (define @t1644 () (forall @t150 @t1643)) % 0.40/0.92 (define @t1645 () (=> tptp.descrp @t1628)) % 0.40/0.92 (define @t1646 () (and @t898 @t891 @t887 @t875)) % 0.40/0.92 (define @t1647 () (forall @t41 (not @t1646))) % 0.40/0.92 (define @t1648 () (not @t1647)) % 0.40/0.92 (define @t1649 () (@list @t870)) % 0.40/0.92 (define @t1650 () (forall @t1649 @t874)) % 0.40/0.92 (define @t1651 () (forall @t1649 @t871)) % 0.40/0.92 (define @t1652 () (or @t873 @t1651 @t869)) % 0.40/0.92 (define @t1653 () (forall @t9 @t866)) % 0.40/0.92 (define @t1654 () (or @t873 @t1653 @t869)) % 0.40/0.92 (define @t1655 () (not @t1653)) % 0.40/0.92 (define @t1656 () (and @t872 @t1655)) % 0.40/0.92 (define @t1657 () (not @t109)) % 0.40/0.92 (define @t1658 () (not @t110)) % 0.40/0.92 (define @t1659 () (or @t1658 @t1657 @t864 @t860)) % 0.40/0.92 (define @t1660 () (and @t110 @t109 @t863 @t859)) % 0.40/0.92 (define @t1661 () (forall @t112 (not @t1660))) % 0.40/0.92 (define @t1662 () (not @t1661)) % 0.40/0.92 (define @t1663 () (or @t853 @t852)) % 0.40/0.92 (define @t1664 () (or @t856 @t1663 @t854)) % 0.40/0.92 (define @t1665 () (forall @t858 @t1664)) % 0.40/0.92 (define @t1666 () (@list @t851)) % 0.40/0.92 (define @t1667 () (forall @t1666 @t1664)) % 0.40/0.92 (define @t1668 () (forall @t1666 @t1663)) % 0.40/0.92 (define @t1669 () (or @t856 @t1668 @t854)) % 0.40/0.92 (define @t1670 () (tptp.in @t19 @t93)) % 0.40/0.92 (define @t1671 () (forall @t70 (or (not @t1670) @t862))) % 0.40/0.92 (define @t1672 () (not @t100)) % 0.40/0.92 (define @t1673 () (or @t1672 @t1671 @t94)) % 0.40/0.92 (define @t1674 () (or @t1671 @t94)) % 0.40/0.92 (define @t1675 () (not @t97)) % 0.40/0.92 (define @t1676 () (or @t1675 @t96)) % 0.40/0.92 (define @t1677 () (not @t105)) % 0.40/0.92 (define @t1678 () (not @t96)) % 0.40/0.92 (define @t1679 () (or @t1678 @t1677)) % 0.40/0.92 (define @t1680 () (forall @t70 (not @t106))) % 0.40/0.92 (define @t1681 () (not @t1680)) % 0.40/0.92 (define @t1682 () (forall @t9 @t1657)) % 0.40/0.92 (define @t1683 () (not @t1682)) % 0.40/0.92 (define @t1684 () (or @t1657 @t7)) % 0.40/0.92 (define @t1685 () (or @t879 @t878)) % 0.40/0.92 (define @t1686 () (or @t882 @t881)) % 0.40/0.92 (define @t1687 () (or @t884 @t868 @t1686 @t1685)) % 0.40/0.92 (define @t1688 () (forall @t886 @t1687)) % 0.40/0.92 (define @t1689 () (forall (@list @t880 @t877) @t1687)) % 0.40/0.92 (define @t1690 () (forall (@list @t877) @t1685)) % 0.40/0.92 (define @t1691 () (forall (@list @t880) @t1686)) % 0.40/0.92 (define @t1692 () (or @t884 @t868 @t1691 @t1690)) % 0.40/0.92 (define @t1693 () (tptp.in @t4 @t95)) % 0.40/0.92 (define @t1694 () (forall @t9 (or (not @t1693) @t865))) % 0.40/0.92 (define @t1695 () (forall @t9 (or @t866 @t1693))) % 0.40/0.92 (define @t1696 () (not @t124)) % 0.40/0.92 (define @t1697 () (or @t1696 @t1658 @t1695 @t1694)) % 0.40/0.92 (define @t1698 () (or @t1695 @t1694)) % 0.40/0.92 (define @t1699 () (not @t120)) % 0.40/0.92 (define @t1700 () (or @t1699 @t109)) % 0.40/0.92 (define @t1701 () (or @t1657 @t120)) % 0.40/0.92 (define @t1702 () (or @t197 @t1537 @t890 @t129)) % 0.40/0.92 (define @t1703 () (=> @t889 @t129)) % 0.40/0.92 (define @t1704 () (or @t1696 @t130)) % 0.40/0.92 (define @t1705 () (or @t895 @t894)) % 0.40/0.92 (define @t1706 () (or @t884 @t1705)) % 0.40/0.92 (define @t1707 () (forall @t897 @t1706)) % 0.40/0.92 (define @t1708 () (@list @t893)) % 0.40/0.92 (define @t1709 () (forall @t1708 @t1706)) % 0.40/0.92 (define @t1710 () (forall @t1708 @t1705)) % 0.40/0.92 (define @t1711 () (or @t884 @t1710)) % 0.40/0.92 (define @t1712 () (or @t1696 @t872)) % 0.40/0.92 (define @t1713 () (=> tptp.wellorderingAx @t1645)) % 0.40/0.92 (define @t1714 () (@list @t906)) % 0.40/0.92 (define @t1715 () (forall @t1714 @t908)) % 0.40/0.92 (define @t1716 () (forall @t1714 @t907)) % 0.40/0.92 (define @t1717 () (or @t1716 @t905)) % 0.40/0.92 (define @t1718 () (or @t1501 @t904)) % 0.40/0.92 (define @t1719 () (and @t39 @t903)) % 0.40/0.92 (define @t1720 () (forall @t41 (not @t1719))) % 0.40/0.92 (define @t1721 () (not @t1720)) % 0.40/0.92 (define @t1722 () (or @t434 @t197)) % 0.40/0.92 (define @t1723 () (forall @t9 (not @t84))) % 0.40/0.92 (define @t1724 () (not @t1723)) % 0.40/0.92 (define @t1725 () (=> tptp.foundationAx @t1713)) % 0.40/0.92 (define @t1726 () (= @t6 @t912)) % 0.40/0.92 (define @t1727 () (not @t68)) % 0.40/0.92 (define @t1728 () (or @t1537 @t1727)) % 0.40/0.92 (define @t1729 () (forall @t70 (not @t69))) % 0.40/0.92 (define @t1730 () (not @t1729)) % 0.40/0.92 (define @t1731 () (or @t197 @t921)) % 0.40/0.92 (define @t1732 () (_ @t75 @t915)) % 0.40/0.92 (define @t1733 () (not @t1732)) % 0.40/0.92 (define @t1734 () (or @t1733 @t918)) % 0.40/0.92 (define @t1735 () (not @t76)) % 0.40/0.92 (define @t1736 () (or @t1735 @t916)) % 0.40/0.92 (define @t1737 () (_ @t77 @t19)) % 0.40/0.92 (define @t1738 () (not @t1737)) % 0.40/0.92 (define @t1739 () (or @t1738 @t916)) % 0.40/0.92 (define @t1740 () (forall @t70 @t1739)) % 0.40/0.92 (define @t1741 () (not @t1740)) % 0.40/0.92 (define @t1742 () (_ @t77 @t915)) % 0.40/0.92 (define @t1743 () (not @t1742)) % 0.40/0.92 (define @t1744 () (or @t1743 @t1741)) % 0.40/0.92 (define @t1745 () (forall @t920 @t1744)) % 0.40/0.92 (define @t1746 () (not @t1745)) % 0.40/0.92 (define @t1747 () (not (_ @t143 @t915))) % 0.40/0.92 (define @t1748 () (or @t672 (= @t915 @t19))) % 0.40/0.92 (define @t1749 () (forall @t70 @t1748)) % 0.40/0.92 (define @t1750 () (not @t1749)) % 0.40/0.92 (define @t1751 () (or @t1747 @t1750)) % 0.40/0.92 (define @t1752 () (forall @t920 @t1751)) % 0.40/0.92 (define @t1753 () (not @t1752)) % 0.40/0.92 (define @t1754 () (=> @t7 (_ @t1209 @t77))) % 0.40/0.92 (define @t1755 () (forall @t9 @t1754)) % 0.40/0.92 (define @t1756 () (=> @t1755 @t74)) % 0.40/0.92 (define @t1757 () (forall @t81 @t1756)) % 0.40/0.92 (define @t1758 () (=> tptp.replAx @t1725)) % 0.40/0.92 (define @t1759 () (or @t927 @t926)) % 0.40/0.92 (define @t1760 () (or @t935 @t933 @t1759)) % 0.40/0.92 (define @t1761 () (forall @t937 @t1760)) % 0.40/0.92 (define @t1762 () (@list @t925)) % 0.40/0.92 (define @t1763 () (forall @t1762 @t1760)) % 0.40/0.92 (define @t1764 () (forall @t1762 @t1759)) % 0.40/0.92 (define @t1765 () (or @t935 @t933 @t1764)) % 0.40/0.92 (define @t1766 () (forall @t9 (or @t931 @t611))) % 0.40/0.92 (define @t1767 () (not @t61)) % 0.40/0.92 (define @t1768 () (or @t1767 @t933 @t1766)) % 0.40/0.92 (define @t1769 () (and @t61 @t932)) % 0.40/0.92 (define @t1770 () (not @t54)) % 0.40/0.92 (define @t1771 () (or @t1770 @t7)) % 0.40/0.92 (define @t1772 () (_ tptp.in @t928)) % 0.40/0.92 (define @t1773 () (or @t1770 @t197 @t58)) % 0.40/0.92 (define @t1774 () (=> tptp.omegaIndAx @t1758)) % 0.40/0.92 (define @t1775 () (or @t1770 @t53)) % 0.40/0.92 (define @t1776 () (=> tptp.omegaSAx @t1774)) % 0.40/0.92 (define @t1777 () (=> tptp.omega0Ax @t1776)) % 0.40/0.92 (define @t1778 () (= @t44 @t771)) % 0.40/0.92 (define @t1779 () (forall @t41 (not @t40))) % 0.40/0.92 (define @t1780 () (not @t1779)) % 0.40/0.92 (define @t1781 () (=> tptp.setunionAx @t1777)) % 0.40/0.92 (define @t1782 () (= @t35 @t783)) % 0.40/0.92 (define @t1783 () (=> tptp.powersetAx @t1781)) % 0.40/0.92 (define @t1784 () (= @t26 @t1522)) % 0.40/0.92 (define @t1785 () (=> tptp.setadjoinAx @t1783)) % 0.40/0.92 (define @t1786 () (=> tptp.emptysetAx @t1785)) % 0.40/0.92 (define @t1787 () (=> tptp.setextAx @t1786)) % 0.40/0.92 (define @t1788 () (and @t610 @t1493)) % 0.40/0.92 (define @t1789 () (and @t611 @t1493)) % 0.40/0.92 (define @t1790 () (or @t616 @t1789 @t1788)) % 0.40/0.92 (define @t1791 () (or @t616 @t1789 @t1788 false)) % 0.40/0.92 (define @t1792 () (and @t610 @t1415)) % 0.40/0.92 (define @t1793 () (and @t611 @t1415)) % 0.40/0.92 (define @t1794 () (or @t173 @t616 @t1793 @t1792 @t173)) % 0.40/0.92 (define @t1795 () (or @t616 @t1793 @t1792 @t173)) % 0.40/0.92 (define @t1796 () (forall @t179 @t1795)) % 0.40/0.92 (define @t1797 () (forall @t245 @t1796)) % 0.40/0.92 (define @t1798 () (and @t6 @t1415)) % 0.40/0.92 (define @t1799 () (and @t7 @t1415)) % 0.40/0.92 (define @t1800 () (not @t1039)) % 0.40/0.92 (define @t1801 () (or @t1800 @t1799 @t1798 @t173)) % 0.40/0.92 (define @t1802 () (or @t1799 @t1798 @t173)) % 0.40/0.92 (define @t1803 () (=> @t1043 @t501)) % 0.40/0.92 (define @t1804 () (forall @t503 @t1803)) % 0.40/0.92 (define @t1805 () (=> tptp.binunionIR @t1804)) % 0.40/0.92 (define @t1806 () (=> tptp.upairset2IR @t1805)) % 0.40/0.92 (define @t1807 () (=> tptp.binunionIL @t1806)) % 0.40/0.92 (define @t1808 () (=> tptp.sepSubset @t1807)) % 0.40/0.92 (define @t1809 () (=> tptp.sepInPowerset @t1808)) % 0.40/0.92 (define @t1810 () (=> tptp.powersetsubset @t1809)) % 0.40/0.92 (define @t1811 () (=> tptp.inPowerset @t1810)) % 0.40/0.92 (define @t1812 () (=> tptp.powersetE1 @t1811)) % 0.40/0.92 (define @t1813 () (=> tptp.powersetI1 @t1812)) % 0.40/0.92 (define @t1814 () (=> tptp.subsetemptysetimpeq @t1813)) % 0.40/0.92 (define @t1815 () (=> tptp.setextsub @t1814)) % 0.40/0.92 (define @t1816 () (=> tptp.subset2powerset @t1815)) % 0.40/0.92 (define @t1817 () (=> tptp.setadjoinSub2 @t1816)) % 0.40/0.92 (define @t1818 () (=> tptp.setadjoinSub @t1817)) % 0.40/0.92 (define @t1819 () (=> tptp.subsetTrans @t1818)) % 0.40/0.92 (define @t1820 () (=> tptp.subsetRefl @t1819)) % 0.40/0.92 (define @t1821 () (=> tptp.notequalI2 @t1820)) % 0.40/0.92 (define @t1822 () (=> tptp.notequalI1 @t1821)) % 0.40/0.92 (define @t1823 () (=> tptp.notsubsetI @t1822)) % 0.40/0.92 (define @t1824 () (=> tptp.subsetE2 @t1823)) % 0.40/0.92 (define @t1825 () (=> tptp.subsetE @t1824)) % 0.40/0.92 (define @t1826 () (=> tptp.emptysetsubset @t1825)) % 0.40/0.92 (define @t1827 () (=> tptp.subsetI2 @t1826)) % 0.40/0.92 (define @t1828 () (=> tptp.eqimpsubset1 @t1827)) % 0.40/0.92 (define @t1829 () (=> tptp.eqimpsubset2 @t1828)) % 0.40/0.92 (define @t1830 () (=> tptp.subsetI1 @t1829)) % 0.40/0.92 (define @t1831 () (=> tptp.dsetconstr__Cong @t1830)) % 0.40/0.92 (define @t1832 () (=> tptp.descr__Cong @t1831)) % 0.40/0.92 (define @t1833 () (=> tptp.exuEu @t1832)) % 0.40/0.92 (define @t1834 () (=> tptp.omega__Cong @t1833)) % 0.40/0.92 (define @t1835 () (=> tptp.setunion__Cong @t1834)) % 0.40/0.92 (define @t1836 () (=> tptp.powerset__Cong @t1835)) % 0.40/0.92 (define @t1837 () (=> tptp.setadjoin__Cong @t1836)) % 0.40/0.92 (define @t1838 () (=> tptp.emptyset__Cong @t1837)) % 0.40/0.92 (define @t1839 () (=> tptp.exu__Cong @t1838)) % 0.40/0.92 (define @t1840 () (=> tptp.exuE3u @t1839)) % 0.40/0.92 (define @t1841 () (=> tptp.in__Cong @t1840)) % 0.40/0.92 (define @t1842 () (=> tptp.inCongP @t1841)) % 0.40/0.92 (define @t1843 () (=> tptp.exuI2 @t1842)) % 0.40/0.92 (define @t1844 () (=> tptp.exuI3 @t1843)) % 0.40/0.92 (define @t1845 () (=> tptp.exuI1 @t1844)) % 0.40/0.92 (define @t1846 () (=> tptp.notdallE @t1845)) % 0.40/0.92 (define @t1847 () (=> tptp.notdexE @t1846)) % 0.40/0.92 (define @t1848 () (=> tptp.prop2set2propI @t1847)) % 0.40/0.92 (define @t1849 () (=> tptp.prop2setI @t1848)) % 0.40/0.92 (define @t1850 () (=> tptp.quantDeMorgan4 @t1849)) % 0.40/0.92 (define @t1851 () (=> tptp.quantDeMorgan3 @t1850)) % 0.40/0.92 (define @t1852 () (=> tptp.quantDeMorgan2 @t1851)) % 0.40/0.92 (define @t1853 () (=> tptp.quantDeMorgan1 @t1852)) % 0.40/0.92 (define @t1854 () (=> tptp.vacuousDall @t1853)) % 0.40/0.92 (define @t1855 () (=> tptp.emptyE1 @t1854)) % 0.40/0.92 (define @t1856 () (=> tptp.upairsetIR @t1855)) % 0.40/0.92 (define @t1857 () (=> tptp.upairsetIL @t1856)) % 0.40/0.92 (define @t1858 () (=> tptp.upairsetE @t1857)) % 0.40/0.92 (define @t1859 () (=> tptp.singletonsswitch @t1858)) % 0.40/0.92 (define @t1860 () (=> tptp.eqinunit @t1859)) % 0.40/0.92 (define @t1861 () (=> tptp.notinsingleton @t1860)) % 0.40/0.92 (define @t1862 () (=> tptp.uniqinunit @t1861)) % 0.40/0.92 (define @t1863 () (=> tptp.nonemptyImpWitness @t1862)) % 0.40/0.92 (define @t1864 () (=> tptp.exuE2 @t1863)) % 0.40/0.92 (define @t1865 () (=> tptp.subPowSU @t1864)) % 0.40/0.92 (define @t1866 () (=> tptp.setunionE @t1865)) % 0.40/0.92 (define @t1867 () (=> tptp.setunionI @t1866)) % 0.40/0.92 (define @t1868 () (=> tptp.powersetE @t1867)) % 0.40/0.92 (define @t1869 () (=> tptp.emptyInPowerset @t1868)) % 0.40/0.92 (define @t1870 () (=> tptp.emptyinPowerset @t1869)) % 0.40/0.92 (define @t1871 () (=> tptp.powersetI @t1870)) % 0.40/0.92 (define @t1872 () (=> tptp.setoftrueEq @t1871)) % 0.40/0.92 (define @t1873 () (=> tptp.setadjoinOr @t1872)) % 0.40/0.92 (define @t1874 () (=> tptp.setadjoinE @t1873)) % 0.40/0.92 (define @t1875 () (=> tptp.setadjoinIR @t1874)) % 0.40/0.92 (define @t1876 () (=> tptp.emptyinunitempty @t1875)) % 0.40/0.92 (define @t1877 () (=> tptp.setadjoinIL @t1876)) % 0.40/0.92 (define @t1878 () (=> tptp.nonemptyI1 @t1877)) % 0.40/0.92 (define @t1879 () (=> tptp.nonemptyI @t1878)) % 0.40/0.92 (define @t1880 () (=> tptp.nonemptyE1 @t1879)) % 0.40/0.92 (define @t1881 () (=> tptp.setbeta @t1880)) % 0.40/0.92 (define @t1882 () (=> tptp.noeltsimpempty @t1881)) % 0.40/0.92 (define @t1883 () (=> tptp.emptyI @t1882)) % 0.40/0.92 (define @t1884 () (=> tptp.setext @t1883)) % 0.40/0.92 (define @t1885 () (=> tptp.exuE3e @t1884)) % 0.40/0.92 (define @t1886 () (=> tptp.notinemptyset @t1885)) % 0.40/0.92 (define @t1887 () (=> tptp.emptysetimpfalse @t1886)) % 0.40/0.92 (define @t1888 () (=> tptp.emptysetE @t1887)) % 0.40/0.92 (define @t1889 () (=> tptp.prop2setE @t1888)) % 0.40/0.92 (define @t1890 () (=> tptp.exuE1 @t1889)) % 0.40/0.92 (define @t1891 () (=> tptp.dsetconstrER @t1890)) % 0.40/0.92 (define @t1892 () (=> tptp.dsetconstrEL @t1891)) % 0.40/0.92 (define @t1893 () (=> tptp.dsetconstrI @t1892)) % 0.40/0.92 (define @t1894 () (=> tptp.descrp @t1893)) % 0.40/0.92 (define @t1895 () (=> tptp.wellorderingAx @t1894)) % 0.40/0.92 (define @t1896 () (=> tptp.foundationAx @t1895)) % 0.40/0.92 (define @t1897 () (=> tptp.replAx @t1896)) % 0.40/0.92 (define @t1898 () (=> tptp.omegaIndAx @t1897)) % 0.40/0.92 (define @t1899 () (=> tptp.omegaSAx @t1898)) % 0.40/0.92 (define @t1900 () (=> tptp.omega0Ax @t1899)) % 0.40/0.92 (define @t1901 () (=> tptp.setunionAx @t1900)) % 0.40/0.92 (define @t1902 () (=> tptp.powersetAx @t1901)) % 0.40/0.92 (define @t1903 () (=> tptp.setadjoinAx @t1902)) % 0.40/0.92 (define @t1904 () (=> tptp.emptysetAx @t1903)) % 0.40/0.92 (define @t1905 () (=> tptp.setextAx @t1904)) % 0.40/0.92 (define @t1906 () (@quantifiers_skolemize @t617 1)) % 0.40/0.92 (define @t1907 () (@quantifiers_skolemize @t617 2)) % 0.40/0.92 (define @t1908 () (tptp.in @t1907 @t1906)) % 0.40/0.92 (define @t1909 () (@quantifiers_skolemize @t617 0)) % 0.40/0.92 (define @t1910 () (tptp.in @t1907 @t1909)) % 0.40/0.92 (define @t1911 () (tptp.setadjoin @t1909 (tptp.setadjoin @t1906 tptp.emptyset))) % 0.40/0.92 (define @t1912 () (tptp.in @t1907 (tptp.setunion @t1911))) % 0.40/0.92 (define @t1913 () (not @t1912)) % 0.40/0.92 (define @t1914 () (or @t1913 @t1910 @t1908)) % 0.40/0.92 (define @t1915 () (not @t1908)) % 0.40/0.92 (define @t1916 () (@list true)) % 0.40/0.92 (define @t1917 () (@list @t1914)) % 0.40/0.92 (define @t1918 () (forall @t41 (or (not (tptp.in @t1907 @t1)) (not (tptp.in @t1 @t1911))))) % 0.40/0.92 (define @t1919 () (not @t1918)) % 0.40/0.92 (define @t1920 () (= @t1919 @t1912)) % 0.40/0.92 (define @t1921 () (= @t1912 @t1919)) % 0.40/0.92 (define @t1922 () (@quantifiers_skolemize @t1918 0)) % 0.40/0.92 (define @t1923 () (tptp.in @t1907 @t1922)) % 0.40/0.92 (define @t1924 () (tptp.in @t1922 @t1911)) % 0.40/0.92 (define @t1925 () (not @t1924)) % 0.40/0.92 (define @t1926 () (not @t1923)) % 0.40/0.92 (define @t1927 () (or @t1926 @t1925)) % 0.40/0.92 (define @t1928 () (@list @t1927)) % 0.40/0.92 (define @t1929 () (not @t1910)) % 0.40/0.92 (define @t1930 () (= @t1909 @t1922)) % 0.40/0.92 (define @t1931 () (not @t1930)) % 0.40/0.92 (define @t1932 () (= true false)) % 0.40/0.92 (define @t1933 () (and @t1929 @t1930 @t1923)) % 0.40/0.92 (define @t1934 () (= @t1906 @t1922)) % 0.40/0.92 (define @t1935 () (or @t1925 @t1930 @t1934)) % 0.40/0.92 (define @t1936 () (not @t1934)) % 0.40/0.92 (define @t1937 () (and @t1915 @t1934 @t1923)) % 0.40/0.92 (assume @p1 @t14) % 0.40/0.92 (assume @p2 @t18) % 0.40/0.92 (assume @p3 @t30) % 0.40/0.92 (assume @p4 @t38) % 0.40/0.92 (assume @p5 @t48) % 0.40/0.92 (assume @p6 (= tptp.omega0Ax @t50)) % 0.40/0.92 (assume @p7 @t56) % 0.40/0.92 (assume @p8 @t66) % 0.40/0.92 (assume @p9 @t83) % 0.40/0.92 (assume @p10 @t92) % 0.40/0.92 (assume @p11 @t142) % 0.40/0.92 (assume @p12 @t152) % 0.40/0.92 (assume @p13 @t161) % 0.40/0.92 (assume @p14 @t163) % 0.40/0.92 (assume @p15 @t165) % 0.40/0.92 (assume @p16 @t172) % 0.40/0.92 (assume @p17 @t178) % 0.40/0.92 (assume @p18 @t183) % 0.40/0.92 (assume @p19 @t185) % 0.40/0.92 (assume @p20 (= tptp.notinemptyset @t17)) % 0.40/0.92 (assume @p21 @t189) % 0.40/0.92 (assume @p22 @t195) % 0.40/0.92 (assume @p23 @t201) % 0.40/0.92 (assume @p24 (= tptp.noeltsimpempty @t200)) % 0.40/0.92 (assume @p25 @t204) % 0.40/0.92 (assume @p26 @t208) % 0.40/0.92 (assume @p27 @t212) % 0.40/0.92 (assume @p28 @t215) % 0.40/0.92 (assume @p29 @t219) % 0.40/0.92 (assume @p30 (= tptp.emptyinunitempty @t221)) % 0.40/0.92 (assume @p31 @t223) % 0.40/0.92 (assume @p32 @t231) % 0.40/0.92 (assume @p33 @t234) % 0.40/0.92 (assume @p34 @t238) % 0.40/0.92 (assume @p35 @t241) % 0.40/0.92 (assume @p36 @t244) % 0.40/0.92 (assume @p37 (= tptp.emptyInPowerset @t243)) % 0.40/0.92 (assume @p38 @t247) % 0.40/0.92 (assume @p39 @t251) % 0.40/0.92 (assume @p40 @t258) % 0.40/0.92 (assume @p41 @t262) % 0.40/0.92 (assume @p42 @t268) % 0.40/0.92 (assume @p43 @t273) % 0.40/0.92 (assume @p44 @t278) % 0.40/0.92 (assume @p45 @t284) % 0.40/0.92 (assume @p46 @t286) % 0.40/0.92 (assume @p47 @t288) % 0.40/0.92 (assume @p48 @t297) % 0.40/0.92 (assume @p49 @t300) % 0.40/0.92 (assume @p50 @t303) % 0.40/0.92 (assume @p51 @t311) % 0.40/0.92 (assume @p52 @t314) % 0.40/0.92 (assume @p53 @t322) % 0.40/0.92 (assume @p54 @t327) % 0.40/0.92 (assume @p55 @t330) % 0.40/0.92 (assume @p56 @t333) % 0.40/0.92 (assume @p57 @t336) % 0.40/0.92 (assume @p58 @t339) % 0.40/0.92 (assume @p59 (= tptp.notdexE @t329)) % 0.40/0.92 (assume @p60 (= tptp.notdallE @t321)) % 0.40/0.92 (assume @p61 @t342) % 0.40/0.92 (assume @p62 @t347) % 0.40/0.92 (assume @p63 @t350) % 0.40/0.92 (assume @p64 @t356) % 0.40/0.92 (assume @p65 @t361) % 0.40/0.92 (assume @p66 @t364) % 0.40/0.92 (assume @p67 @t377) % 0.40/0.92 (assume @p68 @t379) % 0.40/0.92 (assume @p69 @t389) % 0.40/0.92 (assume @p70 @t393) % 0.40/0.92 (assume @p71 @t397) % 0.40/0.92 (assume @p72 @t398) % 0.40/0.92 (assume @p73 @t399) % 0.40/0.92 (assume @p74 @t406) % 0.40/0.92 (assume @p75 @t417) % 0.40/0.92 (assume @p76 @t422) % 0.40/0.92 (assume @p77 @t426) % 0.40/0.92 (assume @p78 @t428) % 0.40/0.92 (assume @p79 (= tptp.subsetI2 @t421)) % 0.40/0.92 (assume @p80 @t431) % 0.40/0.92 (assume @p81 @t433) % 0.40/0.92 (assume @p82 @t437) % 0.40/0.92 (assume @p83 @t441) % 0.40/0.92 (assume @p84 @t444) % 0.40/0.92 (assume @p85 @t447) % 0.40/0.92 (assume @p86 @t450) % 0.40/0.92 (assume @p87 @t456) % 0.40/0.92 (assume @p88 @t460) % 0.40/0.92 (assume @p89 @t464) % 0.40/0.92 (assume @p90 @t468) % 0.40/0.92 (assume @p91 @t471) % 0.40/0.92 (assume @p92 @t474) % 0.40/0.92 (assume @p93 @t476) % 0.40/0.92 (assume @p94 @t478) % 0.40/0.92 (assume @p95 @t481) % 0.40/0.92 (assume @p96 @t484) % 0.40/0.92 (assume @p97 @t487) % 0.40/0.92 (assume @p98 @t490) % 0.40/0.92 (assume @p99 @t494) % 0.40/0.92 (assume @p100 (= tptp.upairset2IR @t302)) % 0.40/0.92 (assume @p101 @t497) % 0.40/0.92 (assume @p102 @t606) % 0.40/0.92 (assume @p103 true) % 0.40/0.92 (step @p104 (= tptp.exu @t607) :rule refl :args (@t607)) % 0.40/0.92 (step @p105 (= tptp.nonempty @t608) :rule refl :args (@t608)) % 0.40/0.92 (step @p106 (= tptp.binunion @t609) :rule refl :args (@t609)) % 0.40/0.92 (step @p107 :rule refl :args (@t711)) % 0.40/0.92 (step @p108 :rule skolem_intro :args ((@purify true))) % 0.40/0.92 (step @p109 :rule symm :premises (@p108)) % 0.40/0.92 (step @p110 :rule cong :premises (@p109) :args (@t712)) % 0.40/0.92 (step @p111 :rule cong :premises (@p110) :args (@t713)) % 0.40/0.92 (step @p112 :rule cong :premises (@p111 @p107) :args (@t714)) % 0.40/0.92 (step @p113 :rule refl :args (tptp.emptyset)) % 0.40/0.92 (step @p114 :rule cong :premises (@p113 @p110) :args (@t715)) % 0.40/0.92 (step @p115 :rule cong :premises (@p114 @p112) :args (@t716)) % 0.40/0.92 (step @p116 :rule refl :args (@t719)) % 0.40/0.92 (step @p117 :rule cong :premises (@p116 @p115) :args (@t720)) % 0.40/0.92 (step @p118 :rule refl :args (@t727)) % 0.40/0.92 (step @p119 :rule cong :premises (@p118 @p117) :args (@t728)) % 0.40/0.92 (step @p120 :rule refl :args (@t622)) % 0.40/0.92 (step @p121 :rule cong :premises (@p120 @p119) :args (@t729)) % 0.40/0.92 (step @p122 :rule refl :args (@t731)) % 0.40/0.92 (step @p123 :rule cong :premises (@p122 @p121) :args (@t732)) % 0.40/0.92 (step @p124 :rule refl :args (@t736)) % 0.40/0.92 (step @p125 :rule cong :premises (@p124 @p123) :args (@t737)) % 0.40/0.92 (step @p126 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:premises (@p3791)) % 0.40/0.94 (step @p3793 :rule not_implies_elim2 :premises (@p3792)) % 0.40/0.94 (step @p3794 :rule not_implies_elim2 :premises (@p3793)) % 0.40/0.94 (step @p3795 :rule not_implies_elim2 :premises (@p3794)) % 0.40/0.94 (step @p3796 :rule not_implies_elim2 :premises (@p3795)) % 0.40/0.94 (step @p3797 :rule not_implies_elim2 :premises (@p3796)) % 0.40/0.94 (step @p3798 :rule not_implies_elim2 :premises (@p3797)) % 0.40/0.94 (step @p3799 :rule not_implies_elim2 :premises (@p3798)) % 0.40/0.94 (step @p3800 :rule not_implies_elim2 :premises (@p3799)) % 0.40/0.94 (step @p3801 :rule not_implies_elim2 :premises (@p3800)) % 0.40/0.94 (step @p3802 :rule not_implies_elim2 :premises (@p3801)) % 0.40/0.94 (step @p3803 :rule not_implies_elim2 :premises (@p3802)) % 0.40/0.94 (step @p3804 :rule not_implies_elim2 :premises (@p3803)) % 0.40/0.94 (step @p3805 :rule not_implies_elim2 :premises (@p3804)) % 0.40/0.94 (step @p3806 :rule not_implies_elim2 :premises (@p3805)) % 0.40/0.94 (step @p3807 :rule not_implies_elim2 :premises (@p3806)) % 0.40/0.94 (step @p3808 :rule not_implies_elim2 :premises (@p3807)) % 0.40/0.94 (step @p3809 :rule not_implies_elim2 :premises (@p3808)) % 0.40/0.94 (step @p3810 :rule not_implies_elim2 :premises (@p3809)) % 0.40/0.94 (step @p3811 :rule not_implies_elim2 :premises (@p3810)) % 0.40/0.94 (step @p3812 :rule not_implies_elim2 :premises (@p3811)) % 0.40/0.94 (step @p3813 :rule not_implies_elim2 :premises (@p3812)) % 0.40/0.94 (step @p3814 :rule not_implies_elim2 :premises (@p3813)) % 0.40/0.94 (step @p3815 :rule not_implies_elim2 :premises (@p3814)) % 0.40/0.94 (step @p3816 :rule not_implies_elim2 :premises (@p3815)) % 0.40/0.94 (step @p3817 :rule not_implies_elim2 :premises (@p3816)) % 0.40/0.94 (step @p3818 :rule not_implies_elim2 :premises (@p3817)) % 0.40/0.94 (step @p3819 :rule not_implies_elim2 :premises (@p3818)) % 0.40/0.94 (step @p3820 :rule not_implies_elim2 :premises (@p3819)) % 0.40/0.94 (step @p3821 :rule not_implies_elim2 :premises (@p3820)) % 0.40/0.94 (step @p3822 :rule not_implies_elim2 :premises (@p3821)) % 0.40/0.94 (step @p3823 :rule not_implies_elim2 :premises (@p3822)) % 0.40/0.94 (step @p3824 :rule not_implies_elim2 :premises (@p3823)) % 0.40/0.94 (step @p3825 :rule not_implies_elim2 :premises (@p3824)) % 0.40/0.94 (step @p3826 :rule not_implies_elim2 :premises (@p3825)) % 0.40/0.94 (step @p3827 :rule not_implies_elim2 :premises (@p3826)) % 0.40/0.94 (step @p3828 :rule not_implies_elim2 :premises (@p3827)) % 0.40/0.94 (step @p3829 :rule not_implies_elim2 :premises (@p3828)) % 0.40/0.94 (step @p3830 :rule not_implies_elim2 :premises (@p3829)) % 0.40/0.94 (step @p3831 :rule not_implies_elim2 :premises (@p3830)) % 0.40/0.94 (step @p3832 :rule not_implies_elim2 :premises (@p3831)) % 0.40/0.94 (step @p3833 :rule not_implies_elim2 :premises (@p3832)) % 0.40/0.94 (step @p3834 :rule not_implies_elim2 :premises (@p3833)) % 0.40/0.94 (step @p3835 :rule not_implies_elim2 :premises (@p3834)) % 0.40/0.94 (step @p3836 :rule not_implies_elim2 :premises (@p3835)) % 0.40/0.94 (step @p3837 :rule not_implies_elim2 :premises (@p3836)) % 0.40/0.94 (step @p3838 :rule not_implies_elim2 :premises (@p3837)) % 0.40/0.94 (step @p3839 :rule not_implies_elim2 :premises (@p3838)) % 0.40/0.94 (step @p3840 :rule not_implies_elim2 :premises (@p3839)) % 0.40/0.94 (step @p3841 :rule not_implies_elim2 :premises (@p3840)) % 0.40/0.94 (step @p3842 :rule not_implies_elim2 :premises (@p3841)) % 0.40/0.94 (step @p3843 :rule not_implies_elim2 :premises (@p3842)) % 0.40/0.94 (step @p3844 :rule not_implies_elim2 :premises (@p3843)) % 0.40/0.94 (step @p3845 :rule not_implies_elim2 :premises (@p3844)) % 0.40/0.94 (step @p3846 :rule not_implies_elim2 :premises (@p3845)) % 0.40/0.94 (step @p3847 :rule not_implies_elim2 :premises (@p3846)) % 0.40/0.94 (step @p3848 :rule not_implies_elim2 :premises (@p3847)) % 0.40/0.94 (step @p3849 :rule not_implies_elim2 :premises (@p3848)) % 0.40/0.94 (step @p3850 :rule not_implies_elim2 :premises (@p3849)) % 0.40/0.94 (step @p3851 :rule not_implies_elim2 :premises (@p3850)) % 0.40/0.94 (step @p3852 :rule not_implies_elim2 :premises (@p3851)) % 0.40/0.94 (step @p3853 :rule not_implies_elim2 :premises (@p3852)) % 0.40/0.94 (step @p3854 :rule not_implies_elim2 :premises (@p3853)) % 0.40/0.94 (step @p3855 :rule not_implies_elim2 :premises (@p3854)) % 0.40/0.94 (step @p3856 :rule not_implies_elim2 :premises (@p3855)) % 0.40/0.94 (step @p3857 :rule not_implies_elim2 :premises (@p3856)) % 0.40/0.94 (step @p3858 :rule not_implies_elim2 :premises (@p3857)) % 0.40/0.94 (step @p3859 :rule not_implies_elim2 :premises (@p3858)) % 0.40/0.94 (step @p3860 :rule not_implies_elim2 :premises (@p3859)) % 0.40/0.94 (step @p3861 :rule not_implies_elim2 :premises (@p3860)) % 0.40/0.94 (step @p3862 :rule not_implies_elim2 :premises (@p3861)) % 0.40/0.94 (step @p3863 :rule not_implies_elim2 :premises (@p3862)) % 0.40/0.94 (step @p3864 :rule not_implies_elim2 :premises (@p3863)) % 0.40/0.94 (step @p3865 :rule not_implies_elim2 :premises (@p3864)) % 0.40/0.94 (step @p3866 :rule not_implies_elim2 :premises (@p3865)) % 0.40/0.94 (step @p3867 :rule skolemize :premises (@p3866)) % 0.40/0.94 (step @p3868 :rule cnf_or_neg :args (@t1914 2)) % 0.40/0.94 (step @p3869 :rule chain_m_resolution :premises (@p3868 @p3867) :args (@t1915 @t1916 @t1917)) % 0.40/0.94 (step @p3870 :rule not_implies_elim1 :premises (@p3785)) % 0.40/0.94 (step @p3871 :rule eq-symm :args (@t1919 @t1912)) % 0.40/0.94 (step @p3872 :rule cong :premises (@p223 @p3871) :args ((=> @t945 @t1920))) % 0.40/0.94 (assume-push @p3972 @t945) % 0.40/0.94 (step @p3874 :rule instantiate :premises (@p3870) :args ((@list @t1911 @t1907))) % 0.40/0.94 (step-pop @p3973 :rule scope :premises (@p3874)) % 0.40/0.94 (step @p3875 :rule process_scope :premises (@p3973) :args (@t1920)) % 0.40/0.94 (step @p3877 :rule eq_resolve :premises (@p3875 @p3872)) % 0.40/0.94 (step @p3878 :rule implies_elim :premises (@p3877)) % 0.40/0.94 (step @p3879 :rule chain_m_resolution :premises (@p3878 @p3870) :args (@t1921 (@list false) (@list @t945))) % 0.40/0.94 (step @p3880 :rule bool-double-not-elim :args (@t1912)) % 0.40/0.94 (step @p3881 :rule refl :args (@t1914)) % 0.40/0.94 (step @p3882 :rule nary_cong :premises (@p3881 @p3880) :args ((or @t1914 (not @t1913)))) % 0.40/0.94 (step @p3883 :rule cnf_or_neg :args (@t1914 0)) % 0.40/0.94 (step @p3884 :rule eq_resolve :premises (@p3883 @p3882)) % 0.40/0.94 (step @p3885 :rule reordering :premises (@p3884) :args ((or @t1912 @t1914))) % 0.40/0.94 (step @p3886 :rule chain_m_resolution :premises (@p3885 @p3867) :args (@t1912 @t1916 @t1917)) % 0.40/0.94 (step @p3887 :rule cnf_equiv_pos1 :args (@t1921)) % 0.40/0.94 (step @p3888 :rule reordering :premises (@p3887) :args ((or @t1913 @t1919 (not @t1921)))) % 0.40/0.94 (step @p3889 :rule chain_m_resolution :premises (@p3888 @p3886 @p3879) :args (@t1919 (@list false false) (@list @t1912 @t1921))) % 0.40/0.94 (step @p3890 :rule skolemize :premises (@p3889)) % 0.40/0.94 (step @p3891 :rule bool-double-not-elim :args (@t1923)) % 0.40/0.94 (step @p3892 :rule refl :args (@t1927)) % 0.40/0.94 (step @p3893 :rule nary_cong :premises (@p3892 @p3891) :args ((or @t1927 (not @t1926)))) % 0.40/0.94 (step @p3894 :rule cnf_or_neg :args (@t1927 0)) % 0.40/0.94 (step @p3895 :rule eq_resolve :premises (@p3894 @p3893)) % 0.40/0.94 (step @p3896 :rule reordering :premises (@p3895) :args ((or @t1923 @t1927))) % 0.40/0.94 (step @p3897 :rule chain_m_resolution :premises (@p3896 @p3890) :args (@t1923 @t1916 @t1928)) % 0.40/0.94 (step @p3898 :rule not_implies_elim1 :premises (@p3827)) % 0.40/0.94 (step @p3899 :rule instantiate :premises (@p3898) :args ((@list @t1909 @t1906 @t1922))) % 0.40/0.94 (step @p3900 :rule cnf_or_neg :args (@t1914 1)) % 0.40/0.94 (step @p3901 :rule chain_m_resolution :premises (@p3900 @p3867) :args (@t1929 @t1916 @t1917)) % 0.40/0.94 (step @p3902 :rule refl :args (@t1931)) % 0.40/0.94 (step @p3903 :rule refl :args (@t1926)) % 0.40/0.94 (step @p3904 :rule bool-double-not-elim :args (@t1910)) % 0.40/0.94 (step @p3905 :rule nary_cong :premises (@p3904 @p3903 @p3902) :args ((or (not @t1929) @t1926 @t1931))) % 0.40/0.94 (assume-push @p3974 @t1929) % 0.40/0.94 (assume-push @p3975 @t1930) % 0.40/0.94 (assume-push @p3976 @t1923) % 0.40/0.94 (step @p3909 :rule evaluate :args (@t1932)) % 0.40/0.94 (step @p3910 :rule false_intro :premises (@p3901)) % 0.40/0.94 (step @p3911 :rule symm :premises (@p3975)) % 0.40/0.94 (step @p3912 :rule refl :args (@t1907)) % 0.40/0.94 (step @p3913 :rule cong :premises (@p3912 @p3911) :args (@t1923)) % 0.40/0.94 (step @p3914 :rule true_intro :premises (@p3897)) % 0.40/0.94 (step @p3915 :rule symm :premises (@p3914)) % 0.40/0.94 (step @p3916 :rule trans :premises (@p3915 @p3913 @p3910)) % 0.40/0.94 (step @p3917 false :rule eq_resolve :premises (@p3916 @p3909)) % 0.40/0.94 (step-pop @p3977 :rule scope :premises (@p3917)) % 0.40/0.94 (step-pop @p3978 :rule scope :premises (@p3977)) % 0.40/0.94 (step-pop @p3979 :rule scope :premises (@p3978)) % 0.40/0.94 (step @p3918 :rule process_scope :premises (@p3979) :args (false)) % 0.40/0.94 (assume-push @p3980 @t1929) % 0.40/0.94 (assume-push @p3981 @t1923) % 0.40/0.94 (assume-push @p3982 @t1930) % 0.40/0.94 (step @p3925 :rule and_intro :premises (@p3901 @p3982 @p3897)) % 0.40/0.94 (step-pop @p3983 :rule scope :premises (@p3925)) % 0.40/0.94 (step-pop @p3984 :rule scope :premises (@p3983)) % 0.40/0.94 (step-pop @p3985 :rule scope :premises (@p3984)) % 0.40/0.94 (step @p3926 :rule process_scope :premises (@p3985) :args (@t1933)) % 0.40/0.94 (step @p3930 :rule implies_elim :premises (@p3926)) % 0.40/0.94 (step @p3931 :rule resolution :premises (@p3930 @p3918) :args (true @t1933)) % 0.40/0.94 (step @p3932 :rule not_and :premises (@p3931)) % 0.40/0.94 (step @p3933 :rule eq_resolve :premises (@p3932 @p3905)) % 0.40/0.94 (step @p3934 :rule chain_m_resolution :premises (@p3933 @p3901 @p3897) :args (@t1931 (@list true false) (@list @t1910 @t1923))) % 0.40/0.94 (step @p3935 :rule bool-double-not-elim :args (@t1924)) % 0.40/0.94 (step @p3936 :rule nary_cong :premises (@p3892 @p3935) :args ((or @t1927 (not @t1925)))) % 0.40/0.94 (step @p3937 :rule cnf_or_neg :args (@t1927 1)) % 0.40/0.94 (step @p3938 :rule eq_resolve :premises (@p3937 @p3936)) % 0.40/0.94 (step @p3939 :rule reordering :premises (@p3938) :args ((or @t1924 @t1927))) % 0.40/0.94 (step @p3940 :rule chain_m_resolution :premises (@p3939 @p3890) :args (@t1924 @t1916 @t1928)) % 0.40/0.94 (step @p3941 :rule cnf_or_pos :args (@t1935)) % 0.40/0.94 (step @p3942 :rule reordering :premises (@p3941) :args ((or @t1925 @t1930 @t1934 (not @t1935)))) % 0.40/0.94 (step @p3943 :rule chain_m_resolution :premises (@p3942 @p3940 @p3934 @p3899) :args (@t1934 (@list false true false) (@list @t1924 @t1930 @t1935))) % 0.40/0.94 (step @p3944 :rule refl :args (@t1936)) % 0.40/0.94 (step @p3945 :rule bool-double-not-elim :args (@t1908)) % 0.40/0.94 (step @p3946 :rule nary_cong :premises (@p3945 @p3903 @p3944) :args ((or (not @t1915) @t1926 @t1936))) % 0.40/0.94 (assume-push @p3986 @t1915) % 0.40/0.94 (assume-push @p3987 @t1934) % 0.40/0.94 (assume-push @p3988 @t1923) % 0.40/0.94 (step @p3909 :rule evaluate :args (@t1932)) % 0.40/0.94 (step @p3950 :rule false_intro :premises (@p3869)) % 0.40/0.94 (step @p3951 :rule symm :premises (@p3987)) % 0.40/0.94 (step @p3912 :rule refl :args (@t1907)) % 0.40/0.94 (step @p3952 :rule cong :premises (@p3912 @p3951) :args (@t1923)) % 0.40/0.94 (step @p3914 :rule true_intro :premises (@p3897)) % 0.40/0.94 (step @p3915 :rule symm :premises (@p3914)) % 0.40/0.94 (step @p3953 :rule trans :premises (@p3915 @p3952 @p3950)) % 0.40/0.94 (step @p3954 false :rule eq_resolve :premises (@p3953 @p3909)) % 0.40/0.94 (step-pop @p3989 :rule scope :premises (@p3954)) % 0.40/0.94 (step-pop @p3990 :rule scope :premises (@p3989)) % 0.40/0.94 (step-pop @p3991 :rule scope :premises (@p3990)) % 0.40/0.94 (step @p3955 :rule process_scope :premises (@p3991) :args (false)) % 0.40/0.94 (assume-push @p3992 @t1915) % 0.40/0.94 (assume-push @p3993 @t1923) % 0.40/0.94 (assume-push @p3994 @t1934) % 0.40/0.94 (step @p3962 :rule and_intro :premises (@p3869 @p3994 @p3897)) % 0.40/0.94 (step-pop @p3995 :rule scope :premises (@p3962)) % 0.40/0.94 (step-pop @p3996 :rule scope :premises (@p3995)) % 0.40/0.94 (step-pop @p3997 :rule scope :premises (@p3996)) % 0.40/0.94 (step @p3963 :rule process_scope :premises (@p3997) :args (@t1937)) % 0.40/0.94 (step @p3967 :rule implies_elim :premises (@p3963)) % 0.40/0.94 (step @p3968 :rule resolution :premises (@p3967 @p3955) :args (true @t1937)) % 0.40/0.94 (step @p3969 :rule not_and :premises (@p3968)) % 0.40/0.94 (step @p3970 :rule eq_resolve :premises (@p3969 @p3946)) % 0.40/0.94 (step @p3971 false :rule chain_m_resolution :premises (@p3970 @p3943 @p3897 @p3869) :args (false (@list false false true) (@list @t1934 @t1923 @t1908))) % 0.40/0.94 ) % 0.40/0.94 % SZS output end Proof % 0.40/0.94 % cvc5 exiting %------------------------------------------------------------------------------