%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU572^1 : 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 : n001.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 08:52:14 AM UTC 2026 % Result : Theorem 0.40s 0.88s % Output : Proof 0.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU572^1 : 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 % 0.18/0.35 % Computer : n001.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:42:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.55 %----Proving TH0 % 0.40/0.88 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.88 % SZS status Theorem % 0.40/0.88 % SZS output start Proof % 0.40/0.88 ( % 0.40/0.88 (declare-sort $$unsorted 0) % 0.40/0.88 (declare-const tptp.emptyset $$unsorted) % 0.40/0.88 (declare-const tptp.setadjoinSub Bool) % 0.40/0.88 (declare-const tptp.notequalI2 Bool) % 0.40/0.88 (declare-const tptp.notsubsetI Bool) % 0.40/0.88 (declare-const tptp.emptysetsubset Bool) % 0.40/0.88 (declare-const tptp.subsetI2 Bool) % 0.40/0.88 (declare-const tptp.powerset__Cong Bool) % 0.40/0.88 (declare-const tptp.setadjoin__Cong Bool) % 0.40/0.88 (declare-const tptp.emptyset__Cong Bool) % 0.40/0.88 (declare-const tptp.exu__Cong Bool) % 0.40/0.88 (declare-const tptp.in__Cong Bool) % 0.40/0.88 (declare-const tptp.inCongP Bool) % 0.40/0.88 (declare-const tptp.subsetE2 Bool) % 0.40/0.88 (declare-const tptp.exuI3 Bool) % 0.40/0.88 (declare-const tptp.subsetE Bool) % 0.40/0.88 (declare-const tptp.exuI1 Bool) % 0.40/0.88 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.subsetI1 Bool) % 0.40/0.88 (declare-const tptp.quantDeMorgan3 Bool) % 0.40/0.88 (declare-const tptp.quantDeMorgan2 Bool) % 0.40/0.88 (declare-const tptp.dsetconstr__Cong Bool) % 0.40/0.88 (declare-const tptp.quantDeMorgan1 Bool) % 0.40/0.88 (declare-const tptp.vacuousDall Bool) % 0.40/0.88 (declare-const tptp.emptyE1 Bool) % 0.40/0.88 (declare-const tptp.setunion__Cong Bool) % 0.40/0.88 (declare-const tptp.upairsetIR Bool) % 0.40/0.88 (declare-const tptp.notequalI1 Bool) % 0.40/0.88 (declare-const tptp.emptysetE Bool) % 0.40/0.88 (declare-const tptp.omega__Cong Bool) % 0.40/0.88 (declare-const tptp.setadjoinIL Bool) % 0.40/0.88 (declare-const tptp.prop2setE Bool) % 0.40/0.88 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.40/0.88 (declare-const tptp.dsetconstrI Bool) % 0.40/0.88 (declare-const tptp.setext Bool) % 0.40/0.88 (declare-const tptp.nonemptyImpWitness Bool) % 0.40/0.88 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.40/0.88 (declare-const tptp.wellorderingAx Bool) % 0.40/0.88 (declare-const tptp.replAx Bool) % 0.40/0.88 (declare-const tptp.upairsetE Bool) % 0.40/0.88 (declare-const tptp.dsetconstrEL Bool) % 0.40/0.88 (declare-const tptp.prop2setI Bool) % 0.40/0.88 (declare-const tptp.emptyinPowerset Bool) % 0.40/0.88 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.setextAx Bool) % 0.40/0.88 (declare-const tptp.setadjoinOr Bool) % 0.40/0.88 (declare-const tptp.subsetTrans Bool) % 0.40/0.88 (declare-const tptp.exuE3u Bool) % 0.40/0.88 (declare-const tptp.uniqinunit Bool) % 0.40/0.88 (declare-const tptp.foundationAx Bool) % 0.40/0.88 (declare-const tptp.emptysetimpfalse Bool) % 0.40/0.88 (declare-const tptp.subsetRefl Bool) % 0.40/0.88 (declare-const tptp.notinemptyset Bool) % 0.40/0.88 (declare-const tptp.setadjoinIR Bool) % 0.40/0.88 (declare-const tptp.exuE2 Bool) % 0.40/0.88 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.88 (declare-const tptp.notdallE Bool) % 0.40/0.88 (declare-const tptp.dsetconstrER Bool) % 0.40/0.88 (declare-const tptp.eqimpsubset1 Bool) % 0.40/0.88 (declare-const tptp.emptyInPowerset Bool) % 0.40/0.88 (declare-const tptp.exuEu Bool) % 0.40/0.88 (declare-const tptp.setadjoinAx Bool) % 0.40/0.88 (declare-const tptp.nonemptyE1 Bool) % 0.40/0.88 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.40/0.88 (declare-const tptp.eqimpsubset2 Bool) % 0.40/0.88 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.40/0.88 (declare-const tptp.powersetAx Bool) % 0.40/0.88 (declare-const tptp.prop2set2propI Bool) % 0.40/0.88 (declare-const tptp.powersetE Bool) % 0.40/0.88 (declare-const tptp.omegaSAx Bool) % 0.40/0.88 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.descrp Bool) % 0.40/0.88 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.40/0.88 (declare-const tptp.omega0Ax Bool) % 0.40/0.88 (declare-const tptp.setoftrueEq Bool) % 0.40/0.88 (declare-const tptp.setunionAx Bool) % 0.40/0.88 (declare-const tptp.omega $$unsorted) % 0.40/0.88 (declare-const tptp.omegaIndAx Bool) % 0.40/0.88 (declare-const tptp.quantDeMorgan4 Bool) % 0.40/0.88 (declare-const tptp.powersetI Bool) % 0.40/0.88 (declare-const tptp.exuE3e Bool) % 0.40/0.88 (declare-const tptp.emptyI Bool) % 0.40/0.88 (declare-const tptp.noeltsimpempty Bool) % 0.40/0.88 (declare-const tptp.eqinunit Bool) % 0.40/0.88 (declare-const tptp.upairsetIL Bool) % 0.40/0.88 (declare-const tptp.nonemptyI Bool) % 0.40/0.88 (declare-const tptp.emptysetAx Bool) % 0.40/0.88 (declare-const tptp.nonemptyI1 Bool) % 0.40/0.88 (declare-const tptp.descr__Cong Bool) % 0.40/0.88 (declare-const tptp.emptyinunitempty Bool) % 0.40/0.88 (declare-const tptp.setadjoinE Bool) % 0.40/0.88 (declare-const tptp.notdexE Bool) % 0.40/0.88 (declare-const tptp.setunionI Bool) % 0.40/0.88 (declare-const tptp.exuE1 Bool) % 0.40/0.88 (declare-const tptp.setunionE Bool) % 0.40/0.88 (declare-const tptp.exuI2 Bool) % 0.40/0.88 (declare-const tptp.subPowSU Bool) % 0.40/0.88 (declare-const tptp.notinsingleton Bool) % 0.40/0.88 (declare-const tptp.setbeta Bool) % 0.40/0.88 (declare-const tptp.singletonsswitch Bool) % 0.40/0.88 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.40/0.88 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.40/0.88 (define @t1 () (@var "B" $$unsorted)) % 0.40/0.88 (define @t2 () (@var "A" $$unsorted)) % 0.40/0.88 (define @t3 () (= @t2 @t1)) % 0.40/0.88 (define @t4 () (@var "Xx" $$unsorted)) % 0.40/0.88 (define @t5 () (_ tptp.in @t4)) % 0.40/0.88 (define @t6 () (_ @t5 @t1)) % 0.40/0.88 (define @t7 () (_ @t5 @t2)) % 0.40/0.88 (define @t8 () (= @t7 @t6)) % 0.40/0.88 (define @t9 () (@list @t4)) % 0.40/0.88 (define @t10 () (forall @t9 @t8)) % 0.40/0.88 (define @t11 () (=> @t10 @t3)) % 0.40/0.88 (define @t12 () (@list @t2 @t1)) % 0.40/0.88 (define @t13 () (forall @t12 @t11)) % 0.40/0.88 (define @t14 () (= tptp.setextAx @t13)) % 0.40/0.88 (define @t15 () (_ @t5 tptp.emptyset)) % 0.40/0.88 (define @t16 () (not @t15)) % 0.40/0.88 (define @t17 () (forall @t9 @t16)) % 0.40/0.88 (define @t18 () (= tptp.emptysetAx @t17)) % 0.40/0.88 (define @t19 () (@var "Xy" $$unsorted)) % 0.40/0.88 (define @t20 () (_ tptp.in @t19)) % 0.40/0.88 (define @t21 () (_ @t20 @t2)) % 0.40/0.88 (define @t22 () (= @t19 @t4)) % 0.40/0.88 (define @t23 () (or @t22 @t21)) % 0.40/0.88 (define @t24 () (_ tptp.setadjoin @t4)) % 0.40/0.88 (define @t25 () (_ @t24 @t2)) % 0.40/0.88 (define @t26 () (_ @t20 @t25)) % 0.40/0.88 (define @t27 () (= @t26 @t23)) % 0.40/0.88 (define @t28 () (@list @t4 @t2 @t19)) % 0.40/0.88 (define @t29 () (forall @t28 @t27)) % 0.40/0.88 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.40/0.88 (define @t31 () (=> @t6 @t7)) % 0.40/0.88 (define @t32 () (forall @t9 @t31)) % 0.40/0.88 (define @t33 () (_ tptp.powerset @t2)) % 0.40/0.88 (define @t34 () (_ tptp.in @t1)) % 0.40/0.88 (define @t35 () (_ @t34 @t33)) % 0.40/0.88 (define @t36 () (= @t35 @t32)) % 0.40/0.88 (define @t37 () (forall @t12 @t36)) % 0.40/0.88 (define @t38 () (= tptp.powersetAx @t37)) % 0.40/0.88 (define @t39 () (_ @t34 @t2)) % 0.40/0.88 (define @t40 () (and @t6 @t39)) % 0.40/0.88 (define @t41 () (@list @t1)) % 0.40/0.88 (define @t42 () (exists @t41 @t40)) % 0.40/0.88 (define @t43 () (_ tptp.setunion @t2)) % 0.40/0.88 (define @t44 () (_ @t5 @t43)) % 0.40/0.88 (define @t45 () (= @t44 @t42)) % 0.40/0.88 (define @t46 () (@list @t2 @t4)) % 0.40/0.88 (define @t47 () (forall @t46 @t45)) % 0.40/0.88 (define @t48 () (= tptp.setunionAx @t47)) % 0.40/0.88 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.40/0.88 (define @t50 () (_ @t49 tptp.omega)) % 0.40/0.88 (define @t51 () (_ @t24 @t4)) % 0.40/0.88 (define @t52 () (_ tptp.in @t51)) % 0.40/0.88 (define @t53 () (_ @t52 tptp.omega)) % 0.40/0.88 (define @t54 () (_ @t5 tptp.omega)) % 0.40/0.88 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.40/0.88 (define @t56 () (= tptp.omegaSAx @t55)) % 0.40/0.88 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.40/0.88 (define @t58 () (_ @t52 @t2)) % 0.40/0.88 (define @t59 () (and @t54 @t7)) % 0.40/0.88 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.40/0.88 (define @t61 () (_ @t49 @t2)) % 0.40/0.88 (define @t62 () (and @t61 @t60)) % 0.40/0.88 (define @t63 () (=> @t62 @t57)) % 0.40/0.88 (define @t64 () (@list @t2)) % 0.40/0.88 (define @t65 () (forall @t64 @t63)) % 0.40/0.88 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.40/0.88 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.40/0.88 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.40/0.88 (define @t69 () (and @t21 @t68)) % 0.40/0.88 (define @t70 () (@list @t19)) % 0.40/0.88 (define @t71 () (exists @t70 @t69)) % 0.40/0.88 (define @t72 () (= @t6 @t71)) % 0.40/0.88 (define @t73 () (forall @t9 @t72)) % 0.40/0.88 (define @t74 () (exists @t41 @t73)) % 0.40/0.88 (define @t75 () (_ @t67 @t4)) % 0.40/0.88 (define @t76 () (_ @t75 @t19)) % 0.40/0.88 (define @t77 () (lambda @t70 @t76)) % 0.40/0.88 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.40/0.88 (define @t79 () (forall @t9 @t78)) % 0.40/0.88 (define @t80 () (=> @t79 @t74)) % 0.40/0.88 (define @t81 () (@list @t67 @t2)) % 0.40/0.88 (define @t82 () (forall @t81 @t80)) % 0.40/0.88 (define @t83 () (= tptp.replAx @t82)) % 0.40/0.88 (define @t84 () (and @t6 @t7)) % 0.40/0.88 (define @t85 () (exists @t9 @t84)) % 0.40/0.88 (define @t86 () (not @t85)) % 0.40/0.88 (define @t87 () (and @t39 @t86)) % 0.40/0.88 (define @t88 () (exists @t41 @t87)) % 0.40/0.88 (define @t89 () (exists @t9 @t7)) % 0.40/0.88 (define @t90 () (=> @t89 @t88)) % 0.40/0.88 (define @t91 () (forall @t64 @t90)) % 0.40/0.88 (define @t92 () (= tptp.foundationAx @t91)) % 0.40/0.88 (define @t93 () (@var "E" $$unsorted)) % 0.40/0.88 (define @t94 () (_ @t5 @t93)) % 0.40/0.88 (define @t95 () (@var "D" $$unsorted)) % 0.40/0.88 (define @t96 () (_ @t20 @t95)) % 0.40/0.88 (define @t97 () (_ @t20 @t93)) % 0.40/0.88 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.40/0.88 (define @t99 () (or @t98 @t94)) % 0.40/0.88 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.40/0.88 (define @t101 () (=> @t100 @t99)) % 0.40/0.88 (define @t102 () (@list @t93)) % 0.40/0.88 (define @t103 () (forall @t102 @t101)) % 0.40/0.88 (define @t104 () (@var "C" $$unsorted)) % 0.40/0.88 (define @t105 () (_ @t20 @t104)) % 0.40/0.88 (define @t106 () (and @t96 @t105)) % 0.40/0.88 (define @t107 () (exists @t70 @t106)) % 0.40/0.88 (define @t108 () (not @t107)) % 0.40/0.88 (define @t109 () (_ @t5 @t104)) % 0.40/0.88 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.40/0.88 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.40/0.88 (define @t112 () (@list @t95 @t4)) % 0.40/0.88 (define @t113 () (exists @t112 @t111)) % 0.40/0.88 (define @t114 () (exists @t9 @t109)) % 0.40/0.88 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.40/0.88 (define @t116 () (and @t115 @t114)) % 0.40/0.88 (define @t117 () (=> @t116 @t113)) % 0.40/0.88 (define @t118 () (@list @t104)) % 0.40/0.88 (define @t119 () (forall @t118 @t117)) % 0.40/0.88 (define @t120 () (_ @t5 @t95)) % 0.40/0.88 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.40/0.88 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.40/0.88 (define @t123 () (or @t122 @t121)) % 0.40/0.88 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.40/0.88 (define @t125 () (and @t124 @t110)) % 0.40/0.88 (define @t126 () (=> @t125 @t123)) % 0.40/0.88 (define @t127 () (@list @t104 @t95)) % 0.40/0.88 (define @t128 () (forall @t127 @t126)) % 0.40/0.88 (define @t129 () (= @t4 @t19)) % 0.40/0.88 (define @t130 () (= @t109 @t105)) % 0.40/0.88 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.40/0.88 (define @t132 () (=> @t131 @t129)) % 0.40/0.88 (define @t133 () (and @t7 @t21)) % 0.40/0.88 (define @t134 () (=> @t133 @t132)) % 0.40/0.88 (define @t135 () (@list @t4 @t19)) % 0.40/0.88 (define @t136 () (forall @t135 @t134)) % 0.40/0.88 (define @t137 () (=> @t124 @t115)) % 0.40/0.88 (define @t138 () (forall @t118 @t137)) % 0.40/0.88 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.40/0.88 (define @t140 () (exists @t41 @t139)) % 0.40/0.88 (define @t141 () (forall @t64 @t140)) % 0.40/0.88 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.40/0.88 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.40/0.88 (define @t144 () (_ @t143 @t4)) % 0.40/0.88 (define @t145 () (lambda @t9 @t144)) % 0.40/0.88 (define @t146 () (_ tptp.descr @t145)) % 0.40/0.88 (define @t147 () (_ @t143 @t146)) % 0.40/0.88 (define @t148 () (_ tptp.exu @t145)) % 0.40/0.88 (define @t149 () (=> @t148 @t147)) % 0.40/0.88 (define @t150 () (@list @t143)) % 0.40/0.88 (define @t151 () (forall @t150 @t149)) % 0.40/0.88 (define @t152 () (= tptp.descrp @t151)) % 0.40/0.88 (define @t153 () (_ @t143 @t19)) % 0.40/0.88 (define @t154 () (lambda @t70 @t153)) % 0.40/0.88 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.40/0.88 (define @t156 () (_ @t155 @t154)) % 0.40/0.88 (define @t157 () (_ @t5 @t156)) % 0.40/0.88 (define @t158 () (=> @t144 @t157)) % 0.40/0.88 (define @t159 () (@list @t2 @t143 @t4)) % 0.40/0.88 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.40/0.88 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.40/0.88 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.40/0.88 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.40/0.88 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.40/0.88 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.40/0.88 (define @t166 () (=> @t153 @t129)) % 0.40/0.88 (define @t167 () (forall @t70 @t166)) % 0.40/0.88 (define @t168 () (and @t144 @t167)) % 0.40/0.88 (define @t169 () (exists @t9 @t168)) % 0.40/0.88 (define @t170 () (=> @t148 @t169)) % 0.40/0.88 (define @t171 () (forall @t150 @t170)) % 0.40/0.88 (define @t172 () (= tptp.exuE1 @t171)) % 0.40/0.88 (define @t173 () (@var "Xphi" Bool)) % 0.40/0.88 (define @t174 () (_ tptp.prop2set @t173)) % 0.40/0.88 (define @t175 () (_ @t5 @t174)) % 0.40/0.88 (define @t176 () (@list @t173 @t4)) % 0.40/0.88 (define @t177 () (forall @t176 (=> @t175 @t173))) % 0.40/0.88 (define @t178 () (= tptp.prop2setE @t177)) % 0.40/0.88 (define @t179 () (@list @t173)) % 0.40/0.88 (define @t180 () (forall @t179 @t173)) % 0.40/0.88 (define @t181 () (=> @t15 @t180)) % 0.40/0.88 (define @t182 () (forall @t9 @t181)) % 0.40/0.88 (define @t183 () (= tptp.emptysetE @t182)) % 0.40/0.88 (define @t184 () (forall @t9 (=> @t15 false))) % 0.40/0.88 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 0.40/0.88 (define @t186 () (exists @t9 @t144)) % 0.40/0.88 (define @t187 () (=> @t148 @t186)) % 0.40/0.88 (define @t188 () (forall @t150 @t187)) % 0.40/0.88 (define @t189 () (= tptp.exuE3e @t188)) % 0.40/0.88 (define @t190 () (=> @t32 @t3)) % 0.40/0.88 (define @t191 () (=> @t7 @t6)) % 0.40/0.88 (define @t192 () (forall @t9 @t191)) % 0.40/0.88 (define @t193 () (=> @t192 @t190)) % 0.40/0.88 (define @t194 () (forall @t12 @t193)) % 0.40/0.88 (define @t195 () (= tptp.setext @t194)) % 0.40/0.88 (define @t196 () (= @t2 tptp.emptyset)) % 0.40/0.88 (define @t197 () (not @t7)) % 0.40/0.88 (define @t198 () (forall @t9 @t197)) % 0.40/0.88 (define @t199 () (=> @t198 @t196)) % 0.40/0.88 (define @t200 () (forall @t64 @t199)) % 0.40/0.88 (define @t201 () (= tptp.emptyI @t200)) % 0.40/0.88 (define @t202 () (=> @t7 (= @t157 @t144))) % 0.40/0.88 (define @t203 () (forall @t159 @t202)) % 0.40/0.88 (define @t204 () (= tptp.setbeta @t203)) % 0.40/0.88 (define @t205 () (_ tptp.nonempty @t2)) % 0.40/0.88 (define @t206 () (=> @t205 @t89)) % 0.40/0.88 (define @t207 () (forall @t64 @t206)) % 0.40/0.88 (define @t208 () (= tptp.nonemptyE1 @t207)) % 0.40/0.88 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 0.40/0.88 (define @t210 () (=> @t7 @t209)) % 0.40/0.88 (define @t211 () (forall @t159 @t210)) % 0.40/0.89 (define @t212 () (= tptp.nonemptyI @t211)) % 0.40/0.89 (define @t213 () (=> @t89 @t205)) % 0.40/0.89 (define @t214 () (forall @t64 @t213)) % 0.40/0.89 (define @t215 () (= tptp.nonemptyI1 @t214)) % 0.40/0.89 (define @t216 () (_ @t24 @t19)) % 0.40/0.89 (define @t217 () (_ @t5 @t216)) % 0.40/0.89 (define @t218 () (forall @t135 @t217)) % 0.40/0.89 (define @t219 () (= tptp.setadjoinIL @t218)) % 0.40/0.89 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.40/0.89 (define @t221 () (_ @t49 @t220)) % 0.40/0.89 (define @t222 () (forall @t28 (=> @t21 @t26))) % 0.40/0.89 (define @t223 () (= tptp.setadjoinIR @t222)) % 0.40/0.89 (define @t224 () (=> @t21 @t173)) % 0.40/0.89 (define @t225 () (=> @t224 @t173)) % 0.40/0.89 (define @t226 () (=> @t22 @t173)) % 0.40/0.89 (define @t227 () (=> @t226 @t225)) % 0.40/0.89 (define @t228 () (forall @t179 @t227)) % 0.40/0.89 (define @t229 () (=> @t26 @t228)) % 0.40/0.89 (define @t230 () (forall @t28 @t229)) % 0.40/0.89 (define @t231 () (= tptp.setadjoinE @t230)) % 0.40/0.89 (define @t232 () (=> @t26 @t23)) % 0.40/0.89 (define @t233 () (forall @t28 @t232)) % 0.40/0.89 (define @t234 () (= tptp.setadjoinOr @t233)) % 0.40/0.89 (define @t235 () (lambda @t9 true)) % 0.40/0.89 (define @t236 () (= (_ @t155 @t235) @t2)) % 0.40/0.89 (define @t237 () (forall @t64 @t236)) % 0.40/0.89 (define @t238 () (= tptp.setoftrueEq @t237)) % 0.40/0.89 (define @t239 () (=> @t32 @t35)) % 0.40/0.89 (define @t240 () (forall @t12 @t239)) % 0.40/0.89 (define @t241 () (= tptp.powersetI @t240)) % 0.40/0.89 (define @t242 () (_ @t49 @t33)) % 0.40/0.89 (define @t243 () (forall @t64 @t242)) % 0.40/0.89 (define @t244 () (= tptp.emptyinPowerset @t243)) % 0.40/0.89 (define @t245 () (@list @t2 @t1 @t4)) % 0.40/0.89 (define @t246 () (forall @t245 (=> @t35 @t31))) % 0.40/0.89 (define @t247 () (= tptp.powersetE @t246)) % 0.40/0.89 (define @t248 () (=> @t39 @t44)) % 0.40/0.89 (define @t249 () (@list @t2 @t4 @t1)) % 0.40/0.89 (define @t250 () (forall @t249 (=> @t6 @t248))) % 0.40/0.89 (define @t251 () (= tptp.setunionI @t250)) % 0.40/0.89 (define @t252 () (=> @t39 @t173)) % 0.40/0.89 (define @t253 () (forall @t41 (=> @t6 @t252))) % 0.40/0.89 (define @t254 () (=> @t253 @t173)) % 0.40/0.89 (define @t255 () (forall @t179 @t254)) % 0.40/0.89 (define @t256 () (=> @t44 @t255)) % 0.40/0.89 (define @t257 () (forall @t46 @t256)) % 0.40/0.89 (define @t258 () (= tptp.setunionE @t257)) % 0.40/0.89 (define @t259 () (_ tptp.powerset @t43)) % 0.40/0.89 (define @t260 () (_ @t5 @t259)) % 0.40/0.89 (define @t261 () (forall @t46 (=> @t7 @t260))) % 0.40/0.89 (define @t262 () (= tptp.subPowSU @t261)) % 0.40/0.89 (define @t263 () (= @t153 @t22)) % 0.40/0.89 (define @t264 () (forall @t70 @t263)) % 0.40/0.89 (define @t265 () (exists @t9 @t264)) % 0.40/0.89 (define @t266 () (=> @t148 @t265)) % 0.40/0.89 (define @t267 () (forall @t150 @t266)) % 0.40/0.89 (define @t268 () (= tptp.exuE2 @t267)) % 0.40/0.89 (define @t269 () (and @t7 true)) % 0.40/0.89 (define @t270 () (exists @t9 @t269)) % 0.40/0.89 (define @t271 () (=> @t205 @t270)) % 0.40/0.89 (define @t272 () (forall @t64 @t271)) % 0.40/0.89 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 0.40/0.89 (define @t274 () (_ tptp.setadjoin @t19)) % 0.40/0.89 (define @t275 () (_ @t274 tptp.emptyset)) % 0.40/0.89 (define @t276 () (_ @t5 @t275)) % 0.40/0.89 (define @t277 () (forall @t135 (=> @t276 @t129))) % 0.40/0.89 (define @t278 () (= tptp.uniqinunit @t277)) % 0.40/0.89 (define @t279 () (_ @t24 tptp.emptyset)) % 0.40/0.89 (define @t280 () (_ @t20 @t279)) % 0.40/0.89 (define @t281 () (not @t280)) % 0.40/0.89 (define @t282 () (not @t129)) % 0.40/0.89 (define @t283 () (forall @t135 (=> @t282 @t281))) % 0.40/0.89 (define @t284 () (= tptp.notinsingleton @t283)) % 0.40/0.89 (define @t285 () (forall @t135 (=> @t129 @t276))) % 0.40/0.89 (define @t286 () (= tptp.eqinunit @t285)) % 0.40/0.89 (define @t287 () (forall @t135 (=> @t276 @t280))) % 0.40/0.89 (define @t288 () (= tptp.singletonsswitch @t287)) % 0.40/0.89 (define @t289 () (@var "Xz" $$unsorted)) % 0.40/0.89 (define @t290 () (or (= @t289 @t4) (= @t289 @t19))) % 0.40/0.89 (define @t291 () (_ @t24 @t275)) % 0.40/0.89 (define @t292 () (_ tptp.in @t289)) % 0.40/0.89 (define @t293 () (_ @t292 @t291)) % 0.40/0.89 (define @t294 () (=> @t293 @t290)) % 0.40/0.89 (define @t295 () (@list @t4 @t19 @t289)) % 0.40/0.89 (define @t296 () (forall @t295 @t294)) % 0.40/0.89 (define @t297 () (= tptp.upairsetE @t296)) % 0.40/0.89 (define @t298 () (_ @t5 @t291)) % 0.40/0.89 (define @t299 () (forall @t135 @t298)) % 0.40/0.89 (define @t300 () (= tptp.upairsetIL @t299)) % 0.40/0.89 (define @t301 () (_ @t20 @t291)) % 0.40/0.89 (define @t302 () (forall @t135 @t301)) % 0.40/0.89 (define @t303 () (= tptp.upairsetIR @t302)) % 0.40/0.89 (define @t304 () (_ @t155 @t145)) % 0.40/0.89 (define @t305 () (= @t304 tptp.emptyset)) % 0.40/0.89 (define @t306 () (and @t7 @t144)) % 0.40/0.89 (define @t307 () (exists @t9 @t306)) % 0.40/0.89 (define @t308 () (=> @t307 (=> @t305 false))) % 0.40/0.89 (define @t309 () (@list @t2 @t143)) % 0.40/0.89 (define @t310 () (forall @t309 @t308)) % 0.40/0.89 (define @t311 () (= tptp.emptyE1 @t310)) % 0.40/0.89 (define @t312 () (@list @t143 @t4)) % 0.40/0.89 (define @t313 () (forall @t312 (=> @t15 @t144))) % 0.40/0.89 (define @t314 () (= tptp.vacuousDall @t313)) % 0.40/0.89 (define @t315 () (not @t144)) % 0.40/0.89 (define @t316 () (and @t7 @t315)) % 0.40/0.89 (define @t317 () (exists @t9 @t316)) % 0.40/0.89 (define @t318 () (forall @t9 (=> @t7 @t144))) % 0.40/0.89 (define @t319 () (not @t318)) % 0.40/0.89 (define @t320 () (=> @t319 @t317)) % 0.40/0.89 (define @t321 () (forall @t309 @t320)) % 0.40/0.89 (define @t322 () (= tptp.quantDeMorgan1 @t321)) % 0.40/0.89 (define @t323 () (not @t307)) % 0.40/0.89 (define @t324 () (forall @t9 (=> @t7 @t315))) % 0.40/0.89 (define @t325 () (=> @t324 @t323)) % 0.40/0.89 (define @t326 () (forall @t309 @t325)) % 0.40/0.89 (define @t327 () (= tptp.quantDeMorgan2 @t326)) % 0.40/0.89 (define @t328 () (=> @t323 @t324)) % 0.40/0.89 (define @t329 () (forall @t309 @t328)) % 0.40/0.89 (define @t330 () (= tptp.quantDeMorgan3 @t329)) % 0.40/0.89 (define @t331 () (=> @t317 @t319)) % 0.40/0.89 (define @t332 () (forall @t309 @t331)) % 0.40/0.89 (define @t333 () (= tptp.quantDeMorgan4 @t332)) % 0.40/0.89 (define @t334 () (_ @t49 @t174)) % 0.40/0.89 (define @t335 () (forall @t179 (=> @t173 @t334))) % 0.40/0.89 (define @t336 () (= tptp.prop2setI @t335)) % 0.40/0.89 (define @t337 () (_ tptp.set2prop @t174)) % 0.40/0.89 (define @t338 () (forall @t179 (=> @t173 @t337))) % 0.40/0.89 (define @t339 () (= tptp.prop2set2propI @t338)) % 0.40/0.89 (define @t340 () (=> @t169 @t148)) % 0.40/0.89 (define @t341 () (forall @t150 @t340)) % 0.40/0.89 (define @t342 () (= tptp.exuI1 @t341)) % 0.40/0.89 (define @t343 () (forall @t135 (=> @t144 @t166))) % 0.40/0.89 (define @t344 () (=> @t343 @t148)) % 0.40/0.89 (define @t345 () (=> @t186 @t344)) % 0.40/0.89 (define @t346 () (forall @t150 @t345)) % 0.40/0.89 (define @t347 () (= tptp.exuI3 @t346)) % 0.40/0.89 (define @t348 () (=> @t265 @t148)) % 0.40/0.89 (define @t349 () (forall @t150 @t348)) % 0.40/0.89 (define @t350 () (= tptp.exuI2 @t349)) % 0.40/0.89 (define @t351 () (_ @t20 @t1)) % 0.40/0.89 (define @t352 () (=> @t7 @t351)) % 0.40/0.89 (define @t353 () (forall @t135 (=> @t129 @t352))) % 0.40/0.89 (define @t354 () (=> @t3 @t353)) % 0.40/0.89 (define @t355 () (forall @t12 @t354)) % 0.40/0.89 (define @t356 () (= tptp.inCongP @t355)) % 0.40/0.89 (define @t357 () (= @t7 @t351)) % 0.40/0.89 (define @t358 () (forall @t135 (=> @t129 @t357))) % 0.40/0.89 (define @t359 () (=> @t3 @t358)) % 0.40/0.89 (define @t360 () (forall @t12 @t359)) % 0.40/0.89 (define @t361 () (= tptp.in__Cong @t360)) % 0.40/0.89 (define @t362 () (=> @t148 @t343)) % 0.40/0.89 (define @t363 () (forall @t150 @t362)) % 0.40/0.89 (define @t364 () (= tptp.exuE3u @t363)) % 0.40/0.89 (define @t365 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.40/0.89 (define @t366 () (_ @t365 @t4)) % 0.40/0.89 (define @t367 () (lambda @t9 @t366)) % 0.40/0.89 (define @t368 () (_ tptp.exu @t367)) % 0.40/0.89 (define @t369 () (= @t148 @t368)) % 0.40/0.89 (define @t370 () (_ @t365 @t19)) % 0.40/0.89 (define @t371 () (= @t144 @t370)) % 0.40/0.89 (define @t372 () (=> @t129 @t371)) % 0.40/0.89 (define @t373 () (forall @t135 @t372)) % 0.40/0.89 (define @t374 () (=> @t373 @t369)) % 0.40/0.89 (define @t375 () (@list @t143 @t365)) % 0.40/0.89 (define @t376 () (forall @t375 @t374)) % 0.40/0.89 (define @t377 () (= tptp.exu__Cong @t376)) % 0.40/0.89 (define @t378 () (= tptp.emptyset tptp.emptyset)) % 0.40/0.89 (define @t379 () (= tptp.emptyset__Cong @t378)) % 0.40/0.89 (define @t380 () (@var "Xu" $$unsorted)) % 0.40/0.89 (define @t381 () (_ @t274 @t380)) % 0.40/0.89 (define @t382 () (_ @t24 @t289)) % 0.40/0.89 (define @t383 () (= @t382 @t381)) % 0.40/0.89 (define @t384 () (= @t289 @t380)) % 0.40/0.89 (define @t385 () (@list @t289 @t380)) % 0.40/0.89 (define @t386 () (forall @t385 (=> @t384 @t383))) % 0.40/0.89 (define @t387 () (=> @t129 @t386)) % 0.40/0.89 (define @t388 () (forall @t135 @t387)) % 0.40/0.89 (define @t389 () (= tptp.setadjoin__Cong @t388)) % 0.40/0.89 (define @t390 () (_ tptp.powerset @t1)) % 0.40/0.89 (define @t391 () (= @t33 @t390)) % 0.40/0.89 (define @t392 () (forall @t12 (=> @t3 @t391))) % 0.40/0.89 (define @t393 () (= tptp.powerset__Cong @t392)) % 0.40/0.89 (define @t394 () (_ tptp.setunion @t1)) % 0.40/0.89 (define @t395 () (= @t43 @t394)) % 0.40/0.89 (define @t396 () (forall @t12 (=> @t3 @t395))) % 0.40/0.89 (define @t397 () (= tptp.setunion__Cong @t396)) % 0.40/0.89 (define @t398 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.40/0.89 (define @t399 () (= tptp.exuEu @t363)) % 0.40/0.89 (define @t400 () (_ tptp.descr @t367)) % 0.40/0.89 (define @t401 () (= @t146 @t400)) % 0.40/0.89 (define @t402 () (=> @t368 @t401)) % 0.40/0.89 (define @t403 () (=> @t148 @t402)) % 0.40/0.89 (define @t404 () (=> @t373 @t403)) % 0.40/0.89 (define @t405 () (forall @t375 @t404)) % 0.40/0.89 (define @t406 () (= tptp.descr__Cong @t405)) % 0.40/0.89 (define @t407 () (_ tptp.dsetconstr @t1)) % 0.40/0.89 (define @t408 () (_ @t407 @t367)) % 0.40/0.89 (define @t409 () (= @t304 @t408)) % 0.40/0.89 (define @t410 () (forall @t70 (=> @t351 @t372))) % 0.40/0.89 (define @t411 () (=> @t7 @t410)) % 0.40/0.89 (define @t412 () (forall @t9 @t411)) % 0.40/0.89 (define @t413 () (=> @t412 @t409)) % 0.40/0.89 (define @t414 () (forall @t375 @t413)) % 0.40/0.89 (define @t415 () (=> @t3 @t414)) % 0.40/0.89 (define @t416 () (forall @t12 @t415)) % 0.40/0.89 (define @t417 () (= tptp.dsetconstr__Cong @t416)) % 0.40/0.89 (define @t418 () (_ tptp.subset @t2)) % 0.40/0.89 (define @t419 () (_ @t418 @t1)) % 0.40/0.89 (define @t420 () (=> @t192 @t419)) % 0.40/0.89 (define @t421 () (forall @t12 @t420)) % 0.40/0.89 (define @t422 () (= tptp.subsetI1 @t421)) % 0.40/0.89 (define @t423 () (_ tptp.subset @t1)) % 0.40/0.89 (define @t424 () (_ @t423 @t2)) % 0.40/0.89 (define @t425 () (forall @t12 (=> @t3 @t424))) % 0.40/0.89 (define @t426 () (= tptp.eqimpsubset2 @t425)) % 0.40/0.89 (define @t427 () (forall @t12 (=> @t3 @t419))) % 0.40/0.89 (define @t428 () (= tptp.eqimpsubset1 @t427)) % 0.40/0.89 (define @t429 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 0.40/0.89 (define @t430 () (forall @t64 @t429)) % 0.40/0.89 (define @t431 () (= tptp.emptysetsubset @t430)) % 0.40/0.89 (define @t432 () (forall @t245 (=> @t419 @t191))) % 0.40/0.89 (define @t433 () (= tptp.subsetE @t432)) % 0.40/0.89 (define @t434 () (not @t6)) % 0.40/0.89 (define @t435 () (=> @t434 @t197)) % 0.40/0.89 (define @t436 () (forall @t245 (=> @t419 @t435))) % 0.40/0.89 (define @t437 () (= tptp.subsetE2 @t436)) % 0.40/0.89 (define @t438 () (not @t419)) % 0.40/0.89 (define @t439 () (=> @t434 @t438)) % 0.40/0.89 (define @t440 () (forall @t245 (=> @t7 @t439))) % 0.40/0.89 (define @t441 () (= tptp.notsubsetI @t440)) % 0.40/0.89 (define @t442 () (not @t3)) % 0.40/0.89 (define @t443 () (forall @t12 (=> @t438 @t442))) % 0.40/0.89 (define @t444 () (= tptp.notequalI1 @t443)) % 0.40/0.89 (define @t445 () (=> @t434 @t442)) % 0.40/0.89 (define @t446 () (forall @t245 (=> @t7 @t445))) % 0.40/0.89 (define @t447 () (= tptp.notequalI2 @t446)) % 0.40/0.89 (define @t448 () (_ @t418 @t2)) % 0.40/0.89 (define @t449 () (forall @t64 @t448)) % 0.40/0.89 (define @t450 () (= tptp.subsetRefl @t449)) % 0.40/0.89 (define @t451 () (_ @t418 @t104)) % 0.40/0.89 (define @t452 () (_ @t423 @t104)) % 0.40/0.89 (define @t453 () (=> @t452 @t451)) % 0.40/0.89 (define @t454 () (@list @t2 @t1 @t104)) % 0.40/0.89 (define @t455 () (forall @t454 (=> @t419 @t453))) % 0.40/0.89 (define @t456 () (= tptp.subsetTrans @t455)) % 0.40/0.89 (define @t457 () (_ @t418 @t25)) % 0.40/0.89 (define @t458 () (@list @t4 @t2)) % 0.40/0.89 (define @t459 () (forall @t458 @t457)) % 0.40/0.89 (define @t460 () (= tptp.setadjoinSub @t459)) % 0.40/0.89 (define @t461 () (_ @t24 @t1)) % 0.40/0.89 (define @t462 () (_ @t418 @t461)) % 0.40/0.89 (define @t463 () (forall @t249 (=> @t419 @t462))) % 0.40/0.89 (define @t464 () (=> tptp.setadjoinSub @t463)) % 0.40/0.89 (define @t465 () (=> tptp.subsetTrans @t464)) % 0.40/0.89 (define @t466 () (=> tptp.subsetRefl @t465)) % 0.40/0.89 (define @t467 () (=> tptp.notequalI2 @t466)) % 0.40/0.89 (define @t468 () (=> tptp.notequalI1 @t467)) % 0.40/0.89 (define @t469 () (=> tptp.notsubsetI @t468)) % 0.40/0.89 (define @t470 () (=> tptp.subsetE2 @t469)) % 0.40/0.89 (define @t471 () (=> tptp.subsetE @t470)) % 0.40/0.89 (define @t472 () (=> tptp.emptysetsubset @t471)) % 0.40/0.89 (define @t473 () (=> tptp.subsetI2 @t472)) % 0.40/0.89 (define @t474 () (=> tptp.eqimpsubset1 @t473)) % 0.40/0.89 (define @t475 () (=> tptp.eqimpsubset2 @t474)) % 0.40/0.89 (define @t476 () (=> tptp.subsetI1 @t475)) % 0.40/0.89 (define @t477 () (=> tptp.dsetconstr__Cong @t476)) % 0.40/0.89 (define @t478 () (=> tptp.descr__Cong @t477)) % 0.40/0.89 (define @t479 () (=> tptp.exuEu @t478)) % 0.40/0.89 (define @t480 () (=> tptp.omega__Cong @t479)) % 0.40/0.89 (define @t481 () (=> tptp.setunion__Cong @t480)) % 0.40/0.89 (define @t482 () (=> tptp.powerset__Cong @t481)) % 0.40/0.89 (define @t483 () (=> tptp.setadjoin__Cong @t482)) % 0.40/0.89 (define @t484 () (=> tptp.emptyset__Cong @t483)) % 0.40/0.89 (define @t485 () (=> tptp.exu__Cong @t484)) % 0.40/0.89 (define @t486 () (=> tptp.exuE3u @t485)) % 0.40/0.89 (define @t487 () (=> tptp.in__Cong @t486)) % 0.40/0.89 (define @t488 () (=> tptp.inCongP @t487)) % 0.40/0.89 (define @t489 () (=> tptp.exuI2 @t488)) % 0.40/0.89 (define @t490 () (=> tptp.exuI3 @t489)) % 0.40/0.89 (define @t491 () (=> tptp.exuI1 @t490)) % 0.40/0.89 (define @t492 () (=> tptp.notdallE @t491)) % 0.40/0.89 (define @t493 () (=> tptp.notdexE @t492)) % 0.40/0.89 (define @t494 () (=> tptp.prop2set2propI @t493)) % 0.40/0.89 (define @t495 () (=> tptp.prop2setI @t494)) % 0.40/0.89 (define @t496 () (=> tptp.quantDeMorgan4 @t495)) % 0.40/0.89 (define @t497 () (=> tptp.quantDeMorgan3 @t496)) % 0.40/0.89 (define @t498 () (=> tptp.quantDeMorgan2 @t497)) % 0.40/0.89 (define @t499 () (=> tptp.quantDeMorgan1 @t498)) % 0.40/0.89 (define @t500 () (=> tptp.vacuousDall @t499)) % 0.40/0.89 (define @t501 () (=> tptp.emptyE1 @t500)) % 0.40/0.89 (define @t502 () (=> tptp.upairsetIR @t501)) % 0.40/0.89 (define @t503 () (=> tptp.upairsetIL @t502)) % 0.40/0.89 (define @t504 () (=> tptp.upairsetE @t503)) % 0.40/0.89 (define @t505 () (=> tptp.singletonsswitch @t504)) % 0.40/0.89 (define @t506 () (=> tptp.eqinunit @t505)) % 0.40/0.89 (define @t507 () (=> tptp.notinsingleton @t506)) % 0.40/0.89 (define @t508 () (=> tptp.uniqinunit @t507)) % 0.40/0.89 (define @t509 () (=> tptp.nonemptyImpWitness @t508)) % 0.40/0.89 (define @t510 () (=> tptp.exuE2 @t509)) % 0.40/0.89 (define @t511 () (=> tptp.subPowSU @t510)) % 0.40/0.89 (define @t512 () (=> tptp.setunionE @t511)) % 0.40/0.89 (define @t513 () (=> tptp.setunionI @t512)) % 0.40/0.89 (define @t514 () (=> tptp.powersetE @t513)) % 0.40/0.89 (define @t515 () (=> tptp.emptyInPowerset @t514)) % 0.40/0.89 (define @t516 () (=> tptp.emptyinPowerset @t515)) % 0.40/0.89 (define @t517 () (=> tptp.powersetI @t516)) % 0.40/0.89 (define @t518 () (=> tptp.setoftrueEq @t517)) % 0.40/0.89 (define @t519 () (=> tptp.setadjoinOr @t518)) % 0.40/0.89 (define @t520 () (=> tptp.setadjoinE @t519)) % 0.40/0.89 (define @t521 () (=> tptp.setadjoinIR @t520)) % 0.40/0.89 (define @t522 () (=> tptp.emptyinunitempty @t521)) % 0.40/0.89 (define @t523 () (=> tptp.setadjoinIL @t522)) % 0.40/0.89 (define @t524 () (=> tptp.nonemptyI1 @t523)) % 0.40/0.89 (define @t525 () (=> tptp.nonemptyI @t524)) % 0.40/0.89 (define @t526 () (=> tptp.nonemptyE1 @t525)) % 0.40/0.89 (define @t527 () (=> tptp.setbeta @t526)) % 0.40/0.89 (define @t528 () (=> tptp.noeltsimpempty @t527)) % 0.40/0.89 (define @t529 () (=> tptp.emptyI @t528)) % 0.40/0.89 (define @t530 () (=> tptp.setext @t529)) % 0.40/0.89 (define @t531 () (=> tptp.exuE3e @t530)) % 0.40/0.89 (define @t532 () (=> tptp.notinemptyset @t531)) % 0.40/0.89 (define @t533 () (=> tptp.emptysetimpfalse @t532)) % 0.40/0.89 (define @t534 () (=> tptp.emptysetE @t533)) % 0.40/0.89 (define @t535 () (=> tptp.prop2setE @t534)) % 0.40/0.89 (define @t536 () (=> tptp.exuE1 @t535)) % 0.40/0.89 (define @t537 () (=> tptp.dsetconstrER @t536)) % 0.40/0.89 (define @t538 () (=> tptp.dsetconstrEL @t537)) % 0.40/0.89 (define @t539 () (=> tptp.dsetconstrI @t538)) % 0.40/0.89 (define @t540 () (=> tptp.descrp @t539)) % 0.40/0.89 (define @t541 () (=> tptp.wellorderingAx @t540)) % 0.40/0.89 (define @t542 () (=> tptp.foundationAx @t541)) % 0.40/0.89 (define @t543 () (=> tptp.replAx @t542)) % 0.40/0.89 (define @t544 () (=> tptp.omegaIndAx @t543)) % 0.40/0.89 (define @t545 () (=> tptp.omegaSAx @t544)) % 0.40/0.89 (define @t546 () (=> tptp.omega0Ax @t545)) % 0.40/0.89 (define @t547 () (=> tptp.setunionAx @t546)) % 0.40/0.89 (define @t548 () (=> tptp.powersetAx @t547)) % 0.40/0.89 (define @t549 () (=> tptp.setadjoinAx @t548)) % 0.40/0.89 (define @t550 () (=> tptp.emptysetAx @t549)) % 0.40/0.89 (define @t551 () (=> tptp.setextAx @t550)) % 0.40/0.89 (define @t552 () (not @t551)) % 0.40/0.89 (define @t553 () (lambda @t150 @t169)) % 0.40/0.89 (define @t554 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.40/0.89 (define @t555 () (tptp.setadjoin @t4 @t1)) % 0.40/0.89 (define @t556 () (tptp.subset @t2 @t555)) % 0.40/0.89 (define @t557 () (tptp.subset @t2 @t1)) % 0.40/0.89 (define @t558 () (not @t557)) % 0.40/0.89 (define @t559 () (forall @t249 (or @t558 @t556))) % 0.40/0.89 (define @t560 () (tptp.setadjoin @t4 @t2)) % 0.40/0.89 (define @t561 () (tptp.subset @t2 @t560)) % 0.40/0.89 (define @t562 () (tptp.subset @t2 @t104)) % 0.40/0.89 (define @t563 () (tptp.subset @t1 @t104)) % 0.40/0.89 (define @t564 () (forall @t454 (or @t558 (not @t563) @t562))) % 0.40/0.89 (define @t565 () (tptp.subset @t2 @t2)) % 0.40/0.89 (define @t566 () (=> (forall @t64 @t565) (=> @t564 (=> (forall @t458 @t561) @t559)))) % 0.40/0.89 (define @t567 () (tptp.subset @t1 @t1)) % 0.40/0.89 (define @t568 () (forall @t41 @t567)) % 0.40/0.89 (define @t569 () (tptp.in @t4 @t1)) % 0.40/0.89 (define @t570 () (tptp.in @t4 @t2)) % 0.40/0.89 (define @t571 () (not @t570)) % 0.40/0.89 (define @t572 () (forall @t245 (or @t571 @t569 @t558))) % 0.40/0.89 (define @t573 () (forall @t245 (or @t558 @t569 @t571))) % 0.40/0.89 (define @t574 () (forall @t245 (or @t558 @t571 @t569))) % 0.40/0.89 (define @t575 () (tptp.subset tptp.emptyset @t2)) % 0.40/0.89 (define @t576 () (forall @t64 @t575)) % 0.40/0.89 (define @t577 () (forall @t9 (or @t571 @t569))) % 0.40/0.89 (define @t578 () (not @t577)) % 0.40/0.89 (define @t579 () (forall @t12 (or @t578 @t557))) % 0.40/0.89 (define @t580 () (@var "BOUND_VARIABLE_9534" (-> $$unsorted Bool))) % 0.40/0.89 (define @t581 () (tptp.dsetconstr @t1 @t580)) % 0.40/0.89 (define @t582 () (@var "BOUND_VARIABLE_9536" (-> $$unsorted Bool))) % 0.40/0.89 (define @t583 () (tptp.dsetconstr @t1 @t582)) % 0.40/0.89 (define @t584 () (= @t583 @t581)) % 0.40/0.89 (define @t585 () (= (_ @t580 @t4) (_ @t582 @t4))) % 0.40/0.89 (define @t586 () (not @t569)) % 0.40/0.89 (define @t587 () (or @t586 @t585)) % 0.40/0.89 (define @t588 () (not (forall @t9 @t587))) % 0.40/0.89 (define @t589 () (or @t588 @t584)) % 0.40/0.89 (define @t590 () (@list @t1 @t580 @t582)) % 0.40/0.89 (define @t591 () (forall @t590 @t589)) % 0.40/0.89 (define @t592 () (@var "BOUND_VARIABLE_9473" $$unsorted)) % 0.40/0.89 (define @t593 () (_ @t365 @t19)) % 0.40/0.89 (define @t594 () (not @t593)) % 0.40/0.89 (define @t595 () (not (_ @t365 @t592))) % 0.40/0.89 (define @t596 () (@var "BOUND_VARIABLE_9464" $$unsorted)) % 0.40/0.89 (define @t597 () (_ @t143 @t19)) % 0.40/0.89 (define @t598 () (not @t597)) % 0.40/0.89 (define @t599 () (not (_ @t143 @t596))) % 0.40/0.89 (define @t600 () (tptp.descr @t143)) % 0.40/0.89 (define @t601 () (= @t600 (tptp.descr @t365))) % 0.40/0.89 (define @t602 () (= @t597 @t593)) % 0.40/0.89 (define @t603 () (forall @t70 @t602)) % 0.40/0.89 (define @t604 () (not @t603)) % 0.40/0.89 (define @t605 () (@list @t143 @t365 @t596 @t592)) % 0.40/0.89 (define @t606 () (forall @t605 (or @t604 @t601 @t599 (not (forall @t70 (or @t598 (= @t19 @t596)))) @t595 (not (forall @t70 (or @t594 (= @t19 @t592))))))) % 0.40/0.89 (define @t607 () (@var "BOUND_VARIABLE_9305" $$unsorted)) % 0.40/0.89 (define @t608 () (@var "BOUND_VARIABLE_9303" $$unsorted)) % 0.40/0.89 (define @t609 () (= @t608 @t607)) % 0.40/0.89 (define @t610 () (not (_ @t143 @t607))) % 0.40/0.89 (define @t611 () (not (_ @t143 @t608))) % 0.40/0.89 (define @t612 () (@var "BOUND_VARIABLE_9294" $$unsorted)) % 0.40/0.89 (define @t613 () (not (_ @t143 @t612))) % 0.40/0.89 (define @t614 () (@list @t143 @t612 @t608 @t607)) % 0.40/0.89 (define @t615 () (forall @t614 (or @t613 (not (forall @t70 (or @t598 (= @t19 @t612)))) @t611 @t610 @t609))) % 0.40/0.89 (define @t616 () (not (forall @t70 (or @t594 @t129)))) % 0.40/0.89 (define @t617 () (_ @t365 @t4)) % 0.40/0.89 (define @t618 () (forall @t9 (or (not @t617) @t616))) % 0.40/0.89 (define @t619 () (not @t618)) % 0.40/0.89 (define @t620 () (forall @t70 (or @t598 @t129))) % 0.40/0.89 (define @t621 () (not @t620)) % 0.40/0.89 (define @t622 () (_ @t143 @t4)) % 0.40/0.89 (define @t623 () (not @t622)) % 0.40/0.89 (define @t624 () (forall @t9 (or @t623 @t621))) % 0.40/0.89 (define @t625 () (not @t624)) % 0.40/0.89 (define @t626 () (= @t625 @t619)) % 0.40/0.89 (define @t627 () (forall @t375 (or @t604 @t626))) % 0.40/0.89 (define @t628 () (@var "BOUND_VARIABLE_9201" $$unsorted)) % 0.40/0.89 (define @t629 () (@list @t143 @t628)) % 0.40/0.89 (define @t630 () (forall @t629 (or (not (forall @t70 (= @t597 (= @t19 @t628)))) @t625))) % 0.40/0.89 (define @t631 () (forall @t135 (or @t623 @t598 @t129))) % 0.40/0.89 (define @t632 () (not @t631)) % 0.40/0.89 (define @t633 () (@var "BOUND_VARIABLE_9185" $$unsorted)) % 0.40/0.89 (define @t634 () (not (_ @t143 @t633))) % 0.40/0.89 (define @t635 () (or @t634 @t632 @t625)) % 0.40/0.89 (define @t636 () (forall (@list @t143 @t633) @t635)) % 0.40/0.89 (define @t637 () (=> @t636 (=> @t630 (=> @t615 (=> @t627 (=> @t615 (=> @t606 (=> @t591 (=> @t579 (=> @t568 (=> @t568 (=> @t579 (=> @t576 (=> @t574 (=> @t573 (=> @t572 (=> @t568 @t566))))))))))))))))) % 0.40/0.89 (define @t638 () (tptp.prop2set true)) % 0.40/0.89 (define @t639 () (tptp.set2prop @t638)) % 0.40/0.89 (define @t640 () (=> @t639 @t637)) % 0.40/0.89 (define @t641 () (tptp.in tptp.emptyset @t638)) % 0.40/0.89 (define @t642 () (=> @t641 @t640)) % 0.40/0.89 (define @t643 () (tptp.in @t4 tptp.emptyset)) % 0.40/0.89 (define @t644 () (not @t643)) % 0.40/0.89 (define @t645 () (forall @t312 (or @t644 @t622))) % 0.40/0.89 (define @t646 () (=> @t645 @t642)) % 0.40/0.89 (define @t647 () (@var "BOUND_VARIABLE_9094" $$unsorted)) % 0.40/0.89 (define @t648 () (not (_ @t143 @t647))) % 0.40/0.89 (define @t649 () (not (tptp.in @t647 @t2))) % 0.40/0.89 (define @t650 () (tptp.dsetconstr @t2 @t143)) % 0.40/0.89 (define @t651 () (not (= tptp.emptyset @t650))) % 0.40/0.89 (define @t652 () (or @t651 @t649 @t648)) % 0.40/0.89 (define @t653 () (@list @t2 @t143 @t647)) % 0.40/0.89 (define @t654 () (forall @t653 @t652)) % 0.40/0.89 (define @t655 () (=> @t654 @t646)) % 0.40/0.89 (define @t656 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.40/0.89 (define @t657 () (tptp.setadjoin @t4 @t656)) % 0.40/0.89 (define @t658 () (tptp.in @t19 @t657)) % 0.40/0.89 (define @t659 () (forall @t135 @t658)) % 0.40/0.89 (define @t660 () (=> @t659 @t655)) % 0.40/0.89 (define @t661 () (tptp.in @t4 @t657)) % 0.40/0.89 (define @t662 () (forall @t135 @t661)) % 0.40/0.89 (define @t663 () (=> @t662 @t660)) % 0.40/0.89 (define @t664 () (= @t19 @t289)) % 0.40/0.89 (define @t665 () (= @t4 @t289)) % 0.40/0.89 (define @t666 () (tptp.in @t289 @t657)) % 0.40/0.89 (define @t667 () (forall @t295 (or (not @t666) @t665 @t664))) % 0.40/0.89 (define @t668 () (=> @t667 @t663)) % 0.40/0.89 (define @t669 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.40/0.89 (define @t670 () (tptp.in @t19 @t669)) % 0.40/0.89 (define @t671 () (tptp.in @t4 @t656)) % 0.40/0.89 (define @t672 () (not @t671)) % 0.40/0.89 (define @t673 () (forall @t135 (or @t672 @t670))) % 0.40/0.89 (define @t674 () (=> @t673 @t668)) % 0.40/0.89 (define @t675 () (tptp.in @t19 @t656)) % 0.40/0.89 (define @t676 () (forall @t70 @t675)) % 0.40/0.89 (define @t677 () (=> @t676 @t674)) % 0.40/0.89 (define @t678 () (forall @t135 (or @t129 (not @t670)))) % 0.40/0.89 (define @t679 () (=> @t678 @t677)) % 0.40/0.89 (define @t680 () (forall @t135 (or @t672 @t129))) % 0.40/0.89 (define @t681 () (=> @t680 @t679)) % 0.40/0.89 (define @t682 () (forall @t9 @t571)) % 0.40/0.89 (define @t683 () (not @t682)) % 0.40/0.89 (define @t684 () (forall @t64 (or @t196 @t683))) % 0.40/0.89 (define @t685 () (=> @t684 @t681)) % 0.40/0.89 (define @t686 () (@var "BOUND_VARIABLE_8978" $$unsorted)) % 0.40/0.89 (define @t687 () (not (_ @t143 @t686))) % 0.40/0.89 (define @t688 () (forall @t70 (= @t129 @t597))) % 0.40/0.89 (define @t689 () (forall @t9 (not @t688))) % 0.40/0.89 (define @t690 () (not @t689)) % 0.40/0.89 (define @t691 () (@list @t143 @t686)) % 0.40/0.89 (define @t692 () (forall @t691 (or @t690 @t687 (not (forall @t70 (or @t598 (= @t19 @t686))))))) % 0.40/0.89 (define @t693 () (=> @t692 @t685)) % 0.40/0.89 (define @t694 () (tptp.setunion @t2)) % 0.40/0.89 (define @t695 () (tptp.powerset @t694)) % 0.40/0.89 (define @t696 () (tptp.in @t4 @t695)) % 0.40/0.89 (define @t697 () (forall @t46 (or @t571 @t696))) % 0.40/0.89 (define @t698 () (=> @t697 @t693)) % 0.40/0.89 (define @t699 () (tptp.in @t1 @t2)) % 0.40/0.89 (define @t700 () (not @t699)) % 0.40/0.89 (define @t701 () (forall @t41 (or @t586 @t700))) % 0.40/0.89 (define @t702 () (not @t701)) % 0.40/0.89 (define @t703 () (tptp.in @t4 @t694)) % 0.40/0.89 (define @t704 () (forall @t46 (or (not @t703) @t702))) % 0.40/0.89 (define @t705 () (=> @t704 @t698)) % 0.40/0.89 (define @t706 () (forall @t249 (or @t586 @t700 @t703))) % 0.40/0.89 (define @t707 () (=> @t706 @t705)) % 0.40/0.89 (define @t708 () (tptp.powerset @t2)) % 0.40/0.89 (define @t709 () (tptp.in @t1 @t708)) % 0.40/0.89 (define @t710 () (forall @t245 (or (not @t709) @t586 @t570))) % 0.40/0.89 (define @t711 () (=> @t710 @t707)) % 0.40/0.89 (define @t712 () (tptp.in tptp.emptyset @t708)) % 0.40/0.89 (define @t713 () (forall @t64 @t712)) % 0.40/0.89 (define @t714 () (=> @t713 @t711)) % 0.40/0.89 (define @t715 () (=> @t713 @t714)) % 0.40/0.89 (define @t716 () (forall @t9 (or @t586 @t570))) % 0.40/0.89 (define @t717 () (not @t716)) % 0.40/0.89 (define @t718 () (forall @t12 (or @t717 @t709))) % 0.40/0.89 (define @t719 () (=> @t718 @t715)) % 0.40/0.89 (define @t720 () (@var "BOUND_VARIABLE_21326" $$unsorted)) % 0.40/0.89 (define @t721 () (lambda (@list @t720) true)) % 0.40/0.89 (define @t722 () (tptp.dsetconstr @t2 @t721)) % 0.40/0.89 (define @t723 () (forall @t64 (= @t2 @t722))) % 0.40/0.89 (define @t724 () (=> @t723 @t719)) % 0.40/0.89 (define @t725 () (tptp.in @t19 @t2)) % 0.40/0.89 (define @t726 () (tptp.in @t19 @t560)) % 0.40/0.89 (define @t727 () (forall @t28 (or (not @t726) @t129 @t725))) % 0.40/0.89 (define @t728 () (=> @t727 @t724)) % 0.40/0.89 (define @t729 () (=> @t727 @t728)) % 0.40/0.89 (define @t730 () (not @t725)) % 0.40/0.89 (define @t731 () (forall @t28 (or @t730 @t726))) % 0.40/0.89 (define @t732 () (=> @t731 @t729)) % 0.40/0.89 (define @t733 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.40/0.89 (define @t734 () (tptp.in tptp.emptyset @t733)) % 0.40/0.89 (define @t735 () (=> @t221 @t732)) % 0.40/0.89 (define @t736 () (tptp.setadjoin @t4 @t19)) % 0.40/0.89 (define @t737 () (tptp.in @t4 @t736)) % 0.40/0.89 (define @t738 () (forall @t135 @t737)) % 0.40/0.89 (define @t739 () (=> @t738 @t735)) % 0.40/0.89 (define @t740 () (@var "BOUND_VARIABLE_8819" $$unsorted)) % 0.40/0.89 (define @t741 () (not (tptp.in @t740 tptp.emptyset))) % 0.40/0.89 (define @t742 () (@list @t740)) % 0.40/0.89 (define @t743 () (forall @t742 @t741)) % 0.40/0.89 (define @t744 () (=> @t743 @t739)) % 0.40/0.89 (define @t745 () (forall @t159 (or @t571 @t623 @t651))) % 0.40/0.89 (define @t746 () (=> @t745 @t744)) % 0.40/0.89 (define @t747 () (=> @t684 @t746)) % 0.40/0.89 (define @t748 () (tptp.in @t4 @t650)) % 0.40/0.89 (define @t749 () (forall @t159 (or @t571 (= @t622 @t748)))) % 0.40/0.89 (define @t750 () (=> @t749 @t747)) % 0.40/0.89 (define @t751 () (forall @t64 (or @t683 @t196))) % 0.40/0.89 (define @t752 () (=> @t751 @t750)) % 0.40/0.89 (define @t753 () (=> @t751 @t752)) % 0.40/0.89 (define @t754 () (or @t578 @t717 @t3)) % 0.40/0.89 (define @t755 () (forall @t12 @t754)) % 0.40/0.89 (define @t756 () (=> @t755 @t753)) % 0.40/0.89 (define @t757 () (@var "BOUND_VARIABLE_8716" $$unsorted)) % 0.40/0.89 (define @t758 () (not (_ @t143 @t757))) % 0.40/0.89 (define @t759 () (forall @t9 @t623)) % 0.40/0.89 (define @t760 () (not @t759)) % 0.40/0.89 (define @t761 () (@list @t143 @t757)) % 0.40/0.89 (define @t762 () (forall @t761 (or @t760 @t758 (not (forall @t70 (or @t598 (= @t19 @t757))))))) % 0.40/0.89 (define @t763 () (=> @t762 @t756)) % 0.40/0.89 (define @t764 () (forall @t9 @t644)) % 0.40/0.89 (define @t765 () (=> @t764 @t763)) % 0.40/0.89 (define @t766 () (=> @t764 @t765)) % 0.40/0.89 (define @t767 () (=> @t764 @t766)) % 0.40/0.89 (define @t768 () (not (tptp.in @t4 (tptp.prop2set false)))) % 0.40/0.89 (define @t769 () (forall @t9 @t768)) % 0.40/0.89 (define @t770 () (=> @t769 @t767)) % 0.40/0.89 (define @t771 () (not @t748)) % 0.40/0.89 (define @t772 () (forall @t159 (or @t771 @t622))) % 0.40/0.89 (define @t773 () (=> @t772 @t770)) % 0.40/0.89 (define @t774 () (forall @t159 (or @t771 @t570))) % 0.40/0.89 (define @t775 () (=> @t774 @t773)) % 0.40/0.89 (define @t776 () (forall @t159 (or @t571 @t623 @t748))) % 0.40/0.89 (define @t777 () (=> @t776 @t775)) % 0.40/0.89 (define @t778 () (@var "BOUND_VARIABLE_8615" $$unsorted)) % 0.40/0.89 (define @t779 () (not (_ @t143 @t778))) % 0.40/0.89 (define @t780 () (_ @t143 @t600)) % 0.40/0.89 (define @t781 () (@list @t143 @t778)) % 0.40/0.89 (define @t782 () (forall @t781 (or @t780 @t779 (not (forall @t70 (or @t598 (= @t19 @t778))))))) % 0.40/0.89 (define @t783 () (=> @t782 @t777)) % 0.40/0.89 (define @t784 () (@var "BOUND_VARIABLE_8535" $$unsorted)) % 0.40/0.89 (define @t785 () (tptp.in @t784 @t95)) % 0.40/0.89 (define @t786 () (not (tptp.in @t784 @t93))) % 0.40/0.89 (define @t787 () (tptp.in @t4 @t93)) % 0.40/0.89 (define @t788 () (tptp.in @t93 @t1)) % 0.40/0.89 (define @t789 () (not @t788)) % 0.40/0.89 (define @t790 () (or @t789 @t787 @t786 @t785)) % 0.40/0.89 (define @t791 () (@list @t93 @t784)) % 0.40/0.89 (define @t792 () (forall @t791 @t790)) % 0.40/0.89 (define @t793 () (not @t792)) % 0.40/0.89 (define @t794 () (tptp.in @t19 @t104)) % 0.40/0.89 (define @t795 () (tptp.in @t19 @t95)) % 0.40/0.89 (define @t796 () (forall @t70 (or (not @t795) (not @t794)))) % 0.40/0.89 (define @t797 () (not @t796)) % 0.40/0.89 (define @t798 () (tptp.in @t4 @t104)) % 0.40/0.89 (define @t799 () (not @t798)) % 0.40/0.89 (define @t800 () (tptp.in @t95 @t1)) % 0.40/0.89 (define @t801 () (not @t800)) % 0.40/0.89 (define @t802 () (not (forall @t112 (or @t801 @t799 @t797 @t793)))) % 0.40/0.89 (define @t803 () (@var "BOUND_VARIABLE_8564" $$unsorted)) % 0.40/0.89 (define @t804 () (not (tptp.in @t803 @t104))) % 0.40/0.89 (define @t805 () (forall @t9 (or @t799 @t570))) % 0.40/0.89 (define @t806 () (not @t805)) % 0.40/0.89 (define @t807 () (or @t806 @t804 @t802)) % 0.40/0.89 (define @t808 () (forall (@list @t104 @t803) @t807)) % 0.40/0.89 (define @t809 () (not @t808)) % 0.40/0.89 (define @t810 () (@var "BOUND_VARIABLE_8487" $$unsorted)) % 0.40/0.89 (define @t811 () (tptp.in @t810 @t104)) % 0.40/0.89 (define @t812 () (not (tptp.in @t810 @t95))) % 0.40/0.89 (define @t813 () (@var "BOUND_VARIABLE_8481" $$unsorted)) % 0.40/0.89 (define @t814 () (tptp.in @t813 @t95)) % 0.40/0.89 (define @t815 () (not (tptp.in @t813 @t104))) % 0.40/0.89 (define @t816 () (tptp.in @t104 @t1)) % 0.40/0.89 (define @t817 () (not @t816)) % 0.40/0.89 (define @t818 () (or @t817 @t801 @t815 @t814 @t812 @t811)) % 0.40/0.89 (define @t819 () (@list @t104 @t95 @t813 @t810)) % 0.40/0.89 (define @t820 () (forall @t819 @t818)) % 0.40/0.89 (define @t821 () (not @t820)) % 0.40/0.89 (define @t822 () (forall @t118 (or @t817 (= @t798 @t794)))) % 0.40/0.89 (define @t823 () (not @t822)) % 0.40/0.89 (define @t824 () (forall @t135 (or @t571 @t730 @t823 @t129))) % 0.40/0.89 (define @t825 () (not @t824)) % 0.40/0.89 (define @t826 () (@var "BOUND_VARIABLE_8430" $$unsorted)) % 0.40/0.89 (define @t827 () (tptp.in @t826 @t2)) % 0.40/0.89 (define @t828 () (not (tptp.in @t826 @t104))) % 0.40/0.89 (define @t829 () (or @t817 @t828 @t827)) % 0.40/0.89 (define @t830 () (@list @t104 @t826)) % 0.40/0.89 (define @t831 () (forall @t830 @t829)) % 0.40/0.89 (define @t832 () (not @t831)) % 0.40/0.89 (define @t833 () (or @t832 @t825 @t821 @t809)) % 0.40/0.89 (define @t834 () (forall @t64 (not (forall @t41 @t833)))) % 0.40/0.89 (define @t835 () (=> @t834 @t783)) % 0.40/0.89 (define @t836 () (forall @t9 (or @t586 @t571))) % 0.40/0.89 (define @t837 () (not @t836)) % 0.40/0.89 (define @t838 () (not (forall @t41 (or @t700 @t837)))) % 0.40/0.89 (define @t839 () (@var "BOUND_VARIABLE_8405" $$unsorted)) % 0.40/0.89 (define @t840 () (not (tptp.in @t839 @t2))) % 0.40/0.89 (define @t841 () (or @t840 @t838)) % 0.40/0.89 (define @t842 () (forall (@list @t2 @t839) @t841)) % 0.40/0.89 (define @t843 () (=> @t842 @t835)) % 0.40/0.89 (define @t844 () (_ @t67 @t19 @t4)) % 0.40/0.89 (define @t845 () (not (forall @t70 (or @t730 (not @t844))))) % 0.40/0.89 (define @t846 () (forall @t9 (= @t569 @t845))) % 0.40/0.89 (define @t847 () (not (forall @t41 (not @t846)))) % 0.40/0.89 (define @t848 () (@var "BOUND_VARIABLE_8295" $$unsorted)) % 0.40/0.89 (define @t849 () (= @t19 @t848)) % 0.40/0.89 (define @t850 () (_ @t67 @t4 @t19)) % 0.40/0.89 (define @t851 () (not (forall @t70 (or (not @t850) @t849)))) % 0.40/0.89 (define @t852 () (_ @t67 @t4 @t848)) % 0.40/0.89 (define @t853 () (@list @t848)) % 0.40/0.89 (define @t854 () (not (forall @t853 (or (not @t852) @t851)))) % 0.40/0.89 (define @t855 () (forall @t9 (or @t571 @t854))) % 0.40/0.89 (define @t856 () (forall @t81 (or (not @t855) @t847))) % 0.40/0.89 (define @t857 () (=> @t856 @t843)) % 0.40/0.89 (define @t858 () (@var "BOUND_VARIABLE_8276" $$unsorted)) % 0.40/0.89 (define @t859 () (tptp.in @t858 @t2)) % 0.40/0.89 (define @t860 () (not (tptp.in @t858 tptp.omega))) % 0.40/0.89 (define @t861 () (tptp.setadjoin @t4 @t4)) % 0.40/0.89 (define @t862 () (tptp.in @t861 @t2)) % 0.40/0.89 (define @t863 () (tptp.in @t4 tptp.omega)) % 0.40/0.89 (define @t864 () (not @t863)) % 0.40/0.89 (define @t865 () (forall @t9 (or @t864 @t571 @t862))) % 0.40/0.89 (define @t866 () (not @t865)) % 0.40/0.89 (define @t867 () (tptp.in tptp.emptyset @t2)) % 0.40/0.89 (define @t868 () (not @t867)) % 0.40/0.89 (define @t869 () (or @t868 @t866 @t860 @t859)) % 0.40/0.89 (define @t870 () (@list @t2 @t858)) % 0.40/0.89 (define @t871 () (forall @t870 @t869)) % 0.40/0.89 (define @t872 () (=> @t871 @t857)) % 0.40/0.89 (define @t873 () (tptp.in @t861 tptp.omega)) % 0.40/0.89 (define @t874 () (forall @t9 (or @t864 @t873))) % 0.40/0.89 (define @t875 () (=> @t874 @t872)) % 0.40/0.89 (define @t876 () (tptp.in tptp.emptyset tptp.omega)) % 0.40/0.89 (define @t877 () (=> @t50 @t875)) % 0.40/0.89 (define @t878 () (forall @t46 (= @t702 @t703))) % 0.40/0.89 (define @t879 () (=> @t878 @t877)) % 0.40/0.89 (define @t880 () (forall @t12 (= @t716 @t709))) % 0.40/0.89 (define @t881 () (=> @t880 @t879)) % 0.40/0.89 (define @t882 () (or @t129 @t725)) % 0.40/0.89 (define @t883 () (forall @t28 (= @t726 @t882))) % 0.40/0.89 (define @t884 () (=> @t883 @t881)) % 0.40/0.89 (define @t885 () (=> @t764 @t884)) % 0.40/0.89 (define @t886 () (forall @t9 (= @t570 @t569))) % 0.40/0.89 (define @t887 () (forall @t12 (or (not @t886) @t3))) % 0.40/0.89 (define @t888 () (=> @t887 @t885)) % 0.40/0.89 (define @t889 () (=> @t568 (=> true @t566))) % 0.40/0.89 (define @t890 () (=> @t572 @t889)) % 0.40/0.89 (define @t891 () (=> @t573 @t890)) % 0.40/0.89 (define @t892 () (=> @t574 @t891)) % 0.40/0.89 (define @t893 () (=> @t576 @t892)) % 0.40/0.89 (define @t894 () (=> @t579 @t893)) % 0.40/0.89 (define @t895 () (=> @t568 @t894)) % 0.40/0.89 (define @t896 () (=> @t568 @t895)) % 0.40/0.89 (define @t897 () (=> @t579 @t896)) % 0.40/0.89 (define @t898 () (=> @t591 @t897)) % 0.40/0.89 (define @t899 () (=> @t606 @t898)) % 0.40/0.89 (define @t900 () (=> @t615 @t899)) % 0.40/0.89 (define @t901 () (=> true (=> true @t900))) % 0.40/0.89 (define @t902 () (=> true @t901)) % 0.40/0.89 (define @t903 () (=> true @t902)) % 0.40/0.89 (define @t904 () (=> true @t903)) % 0.40/0.89 (define @t905 () (=> @t627 @t904)) % 0.40/0.89 (define @t906 () (=> @t615 @t905)) % 0.40/0.89 (define @t907 () (=> true (=> true @t906))) % 0.40/0.89 (define @t908 () (=> @t630 @t907)) % 0.40/0.89 (define @t909 () (=> @t636 @t908)) % 0.40/0.89 (define @t910 () (=> true (=> true @t909))) % 0.40/0.89 (define @t911 () (=> true @t910)) % 0.40/0.89 (define @t912 () (=> @t639 @t911)) % 0.40/0.89 (define @t913 () (=> @t641 @t912)) % 0.40/0.89 (define @t914 () (=> true (=> true @t913))) % 0.40/0.89 (define @t915 () (=> true @t914)) % 0.40/0.89 (define @t916 () (=> true @t915)) % 0.40/0.89 (define @t917 () (=> @t645 @t916)) % 0.40/0.89 (define @t918 () (=> @t654 @t917)) % 0.40/0.89 (define @t919 () (=> @t659 @t918)) % 0.40/0.89 (define @t920 () (=> @t662 @t919)) % 0.40/0.89 (define @t921 () (=> @t667 @t920)) % 0.40/0.89 (define @t922 () (=> @t673 @t921)) % 0.40/0.89 (define @t923 () (=> @t676 @t922)) % 0.40/0.89 (define @t924 () (=> @t678 @t923)) % 0.40/0.89 (define @t925 () (=> @t680 @t924)) % 0.40/0.89 (define @t926 () (=> @t684 @t925)) % 0.40/0.89 (define @t927 () (=> @t692 @t926)) % 0.40/0.89 (define @t928 () (=> @t697 @t927)) % 0.40/0.89 (define @t929 () (=> @t704 @t928)) % 0.40/0.89 (define @t930 () (=> @t706 @t929)) % 0.40/0.89 (define @t931 () (=> @t710 @t930)) % 0.40/0.89 (define @t932 () (=> @t713 @t931)) % 0.40/0.89 (define @t933 () (=> @t713 @t932)) % 0.40/0.89 (define @t934 () (=> @t718 @t933)) % 0.40/0.89 (define @t935 () (=> @t723 @t934)) % 0.40/0.89 (define @t936 () (=> @t727 @t935)) % 0.40/0.89 (define @t937 () (=> @t727 @t936)) % 0.40/0.89 (define @t938 () (=> @t731 @t937)) % 0.40/0.89 (define @t939 () (=> @t221 @t938)) % 0.40/0.89 (define @t940 () (=> @t738 @t939)) % 0.40/0.89 (define @t941 () (=> @t743 @t940)) % 0.40/0.89 (define @t942 () (=> @t745 @t941)) % 0.40/0.89 (define @t943 () (=> @t684 @t942)) % 0.40/0.89 (define @t944 () (=> @t749 @t943)) % 0.40/0.89 (define @t945 () (=> @t751 @t944)) % 0.40/0.89 (define @t946 () (=> @t751 @t945)) % 0.40/0.89 (define @t947 () (=> @t755 @t946)) % 0.40/0.89 (define @t948 () (=> @t762 @t947)) % 0.40/0.89 (define @t949 () (=> @t764 @t948)) % 0.40/0.89 (define @t950 () (=> @t764 @t949)) % 0.40/0.89 (define @t951 () (=> @t764 @t950)) % 0.40/0.89 (define @t952 () (=> @t769 @t951)) % 0.40/0.89 (define @t953 () (=> @t772 (=> true @t952))) % 0.40/0.89 (define @t954 () (=> @t774 @t953)) % 0.40/0.89 (define @t955 () (=> @t776 @t954)) % 0.40/0.89 (define @t956 () (=> @t782 @t955)) % 0.40/0.89 (define @t957 () (=> @t834 @t956)) % 0.40/0.89 (define @t958 () (=> @t842 @t957)) % 0.40/0.89 (define @t959 () (=> @t856 @t958)) % 0.40/0.89 (define @t960 () (=> @t871 @t959)) % 0.40/0.89 (define @t961 () (=> @t874 @t960)) % 0.40/0.89 (define @t962 () (=> @t50 @t961)) % 0.40/0.89 (define @t963 () (=> @t878 @t962)) % 0.40/0.89 (define @t964 () (=> @t880 @t963)) % 0.40/0.89 (define @t965 () (=> @t883 @t964)) % 0.40/0.89 (define @t966 () (=> @t764 @t965)) % 0.40/0.89 (define @t967 () (=> @t887 @t966)) % 0.40/0.89 (define @t968 () (=> tptp.setadjoinSub @t559)) % 0.40/0.89 (define @t969 () (not @t452)) % 0.40/0.89 (define @t970 () (or @t438 @t969 @t451)) % 0.40/0.89 (define @t971 () (=> tptp.subsetTrans @t968)) % 0.40/0.89 (define @t972 () (=> tptp.subsetRefl @t971)) % 0.40/0.89 (define @t973 () (@list @t1 @t4)) % 0.40/0.89 (define @t974 () (or @t586 @t569)) % 0.40/0.89 (define @t975 () (not true)) % 0.40/0.89 (define @t976 () (not (= @t1 @t1))) % 0.40/0.89 (define @t977 () (or @t586 @t569 @t976)) % 0.40/0.89 (define @t978 () (or @t442 @t571 @t569 @t442)) % 0.40/0.89 (define @t979 () (or @t571 @t569 @t442)) % 0.40/0.89 (define @t980 () (forall @t64 @t979)) % 0.40/0.89 (define @t981 () (forall @t973 @t980)) % 0.40/0.89 (define @t982 () (forall (@list @t1 @t4 @t2) @t979)) % 0.40/0.89 (define @t983 () (or @t197 @t6 @t442)) % 0.40/0.89 (define @t984 () (not @t434)) % 0.40/0.89 (define @t985 () (=> tptp.notequalI2 @t972)) % 0.40/0.89 (define @t986 () (or @t567 @t976)) % 0.40/0.89 (define @t987 () (or @t442 @t557 @t442)) % 0.40/0.89 (define @t988 () (or @t557 @t442)) % 0.40/0.89 (define @t989 () (forall @t64 @t988)) % 0.40/0.89 (define @t990 () (forall @t41 @t989)) % 0.40/0.89 (define @t991 () (@list @t1 @t2)) % 0.40/0.89 (define @t992 () (forall @t991 @t988)) % 0.40/0.89 (define @t993 () (or @t419 @t442)) % 0.40/0.89 (define @t994 () (=> tptp.notequalI1 @t985)) % 0.40/0.89 (define @t995 () (or @t197 @t6 @t438)) % 0.40/0.89 (define @t996 () (=> tptp.notsubsetI @t994)) % 0.40/0.89 (define @t997 () (or @t438 @t6 @t197)) % 0.40/0.89 (define @t998 () (=> tptp.subsetE2 @t996)) % 0.40/0.89 (define @t999 () (or @t438 @t197 @t6)) % 0.40/0.89 (define @t1000 () (or @t197 @t6)) % 0.40/0.89 (define @t1001 () (=> tptp.subsetE @t998)) % 0.40/0.89 (define @t1002 () (=> tptp.emptysetsubset @t1001)) % 0.40/0.89 (define @t1003 () (or @t578 @t419)) % 0.40/0.89 (define @t1004 () (=> tptp.subsetI2 @t1002)) % 0.40/0.89 (define @t1005 () (or @t976 @t567)) % 0.40/0.89 (define @t1006 () (or @t442 @t442 @t557)) % 0.40/0.89 (define @t1007 () (or @t442 @t557)) % 0.40/0.89 (define @t1008 () (forall @t64 @t1007)) % 0.40/0.89 (define @t1009 () (forall @t41 @t1008)) % 0.40/0.89 (define @t1010 () (forall @t991 @t1007)) % 0.40/0.89 (define @t1011 () (or @t442 @t419)) % 0.40/0.89 (define @t1012 () (=> tptp.eqimpsubset1 @t1004)) % 0.40/0.89 (define @t1013 () (tptp.subset @t1 @t2)) % 0.40/0.89 (define @t1014 () (or @t442 @t442 @t1013)) % 0.40/0.89 (define @t1015 () (or @t442 @t1013)) % 0.40/0.89 (define @t1016 () (forall @t64 @t1015)) % 0.40/0.89 (define @t1017 () (forall @t41 @t1016)) % 0.40/0.89 (define @t1018 () (forall @t991 @t1015)) % 0.40/0.89 (define @t1019 () (or @t442 @t424)) % 0.40/0.89 (define @t1020 () (=> tptp.eqimpsubset2 @t1012)) % 0.40/0.89 (define @t1021 () (=> tptp.subsetI1 @t1020)) % 0.40/0.89 (define @t1022 () (or @t586 @t586 @t585)) % 0.40/0.89 (define @t1023 () (forall @t9 @t1022)) % 0.40/0.89 (define @t1024 () (not @t1023)) % 0.40/0.89 (define @t1025 () (or @t976 @t1024 (= @t581 @t583))) % 0.40/0.89 (define @t1026 () (= (tptp.dsetconstr @t2 @t580) @t583)) % 0.40/0.89 (define @t1027 () (not (forall @t9 (or @t571 @t586 @t585)))) % 0.40/0.89 (define @t1028 () (or @t442 @t442 @t1027 @t1026)) % 0.40/0.89 (define @t1029 () (or @t442 @t1027 @t1026)) % 0.40/0.89 (define @t1030 () (forall @t64 @t1029)) % 0.40/0.89 (define @t1031 () (forall @t590 @t1030)) % 0.40/0.89 (define @t1032 () (forall (@list @t1 @t580 @t582 @t2) @t1029)) % 0.40/0.89 (define @t1033 () (@list @t2 @t1 @t580 @t582)) % 0.40/0.89 (define @t1034 () (or @t1027 @t1026)) % 0.40/0.89 (define @t1035 () (or @t442 @t1034)) % 0.40/0.89 (define @t1036 () (forall @t1033 @t1035)) % 0.40/0.89 (define @t1037 () (@list @t580 @t582)) % 0.40/0.89 (define @t1038 () (forall @t1037 @t1035)) % 0.40/0.89 (define @t1039 () (forall @t1037 @t1034)) % 0.40/0.89 (define @t1040 () (or @t442 @t1039)) % 0.40/0.89 (define @t1041 () (= @t622 @t617)) % 0.40/0.89 (define @t1042 () (forall @t9 (or @t571 @t586 @t1041))) % 0.40/0.89 (define @t1043 () (not @t1042)) % 0.40/0.89 (define @t1044 () (forall @t375 (or @t1043 (= @t650 (tptp.dsetconstr @t1 @t365))))) % 0.40/0.89 (define @t1045 () (lambda @t9 @t617)) % 0.40/0.89 (define @t1046 () (tptp.dsetconstr @t1 @t1045)) % 0.40/0.89 (define @t1047 () (lambda @t9 @t622)) % 0.40/0.89 (define @t1048 () (tptp.dsetconstr @t2 @t1047)) % 0.40/0.89 (define @t1049 () (= @t1048 @t1046)) % 0.40/0.89 (define @t1050 () (or @t1043 @t1049)) % 0.40/0.89 (define @t1051 () (or @t1043 @t409)) % 0.40/0.89 (define @t1052 () (or @t197 @t586 @t1041)) % 0.40/0.89 (define @t1053 () (or @t586 @t1041)) % 0.40/0.89 (define @t1054 () (not (= @t4 @t4))) % 0.40/0.89 (define @t1055 () (or @t586 @t1054 @t1041)) % 0.40/0.89 (define @t1056 () (= @t622 @t593)) % 0.40/0.89 (define @t1057 () (tptp.in @t19 @t1)) % 0.40/0.89 (define @t1058 () (not @t1057)) % 0.40/0.89 (define @t1059 () (or @t282 @t1058 @t282 @t1056)) % 0.40/0.89 (define @t1060 () (or @t1058 @t282 @t1056)) % 0.40/0.89 (define @t1061 () (not @t351)) % 0.40/0.89 (define @t1062 () (or @t1061 @t282 @t371)) % 0.40/0.89 (define @t1063 () (or @t282 @t371)) % 0.40/0.89 (define @t1064 () (=> tptp.dsetconstr__Cong @t1021)) % 0.40/0.89 (define @t1065 () (or @t594 (= @t592 @t19))) % 0.40/0.89 (define @t1066 () (forall @t70 @t1065)) % 0.40/0.89 (define @t1067 () (not @t1066)) % 0.40/0.89 (define @t1068 () (or @t598 (= @t596 @t19))) % 0.40/0.89 (define @t1069 () (forall @t70 @t1068)) % 0.40/0.89 (define @t1070 () (not @t1069)) % 0.40/0.89 (define @t1071 () (or @t604 @t601 @t599 @t1070 @t595 @t1067)) % 0.40/0.89 (define @t1072 () (or @t595 @t1067)) % 0.40/0.89 (define @t1073 () (or @t599 @t1070)) % 0.40/0.89 (define @t1074 () (or @t604 @t1073 @t1072 @t601)) % 0.40/0.89 (define @t1075 () (forall @t605 @t1074)) % 0.40/0.89 (define @t1076 () (forall (@list @t596 @t592) @t1074)) % 0.40/0.89 (define @t1077 () (forall (@list @t592) @t1072)) % 0.40/0.89 (define @t1078 () (@list @t4)) % 0.40/0.89 (define @t1079 () (forall (@list @t596) @t1073)) % 0.40/0.89 (define @t1080 () (or @t604 @t1079 @t1077 @t601)) % 0.40/0.89 (define @t1081 () (tptp.descr @t1045)) % 0.40/0.89 (define @t1082 () (tptp.descr @t1047)) % 0.40/0.89 (define @t1083 () (= @t1082 @t1081)) % 0.40/0.89 (define @t1084 () (or @t604 @t624 @t618 @t1083)) % 0.40/0.89 (define @t1085 () (or @t604 @t624 @t618 @t401)) % 0.40/0.89 (define @t1086 () (or @t624 @t618 @t401)) % 0.40/0.89 (define @t1087 () (=> @t619 @t401)) % 0.40/0.89 (define @t1088 () (not @t625)) % 0.40/0.89 (define @t1089 () (=> @t625 @t1087)) % 0.40/0.89 (define @t1090 () (not @t366)) % 0.40/0.89 (define @t1091 () (or @t1090 @t616)) % 0.40/0.89 (define @t1092 () (not @t370)) % 0.40/0.89 (define @t1093 () (or @t1092 @t129)) % 0.40/0.89 (define @t1094 () (_ @t367 @t19)) % 0.40/0.89 (define @t1095 () (not @t1094)) % 0.40/0.89 (define @t1096 () (or @t1095 @t129)) % 0.40/0.89 (define @t1097 () (forall @t70 @t1096)) % 0.40/0.89 (define @t1098 () (not @t1097)) % 0.40/0.89 (define @t1099 () (_ @t367 @t4)) % 0.40/0.89 (define @t1100 () (not @t1099)) % 0.40/0.89 (define @t1101 () (or @t1100 @t1098)) % 0.40/0.89 (define @t1102 () (forall @t9 @t1101)) % 0.40/0.89 (define @t1103 () (not @t1102)) % 0.40/0.89 (define @t1104 () (lambda @t150 @t625)) % 0.40/0.89 (define @t1105 () (_ @t1104 @t367)) % 0.40/0.89 (define @t1106 () (=> @t1105 @t401)) % 0.40/0.89 (define @t1107 () (or @t315 @t621)) % 0.40/0.89 (define @t1108 () (not @t153)) % 0.40/0.89 (define @t1109 () (or @t1108 @t129)) % 0.40/0.89 (define @t1110 () (_ @t145 @t19)) % 0.40/0.89 (define @t1111 () (not @t1110)) % 0.40/0.89 (define @t1112 () (or @t1111 @t129)) % 0.40/0.89 (define @t1113 () (forall @t70 @t1112)) % 0.40/0.89 (define @t1114 () (not @t1113)) % 0.40/0.89 (define @t1115 () (_ @t145 @t4)) % 0.40/0.89 (define @t1116 () (not @t1115)) % 0.40/0.89 (define @t1117 () (or @t1116 @t1114)) % 0.40/0.89 (define @t1118 () (forall @t9 @t1117)) % 0.40/0.89 (define @t1119 () (not @t1118)) % 0.40/0.89 (define @t1120 () (_ @t1104 @t145)) % 0.40/0.89 (define @t1121 () (=> @t1120 @t1106)) % 0.40/0.89 (define @t1122 () (not (= @t19 @t19))) % 0.40/0.89 (define @t1123 () (or @t1122 @t602)) % 0.40/0.89 (define @t1124 () (or @t282 @t282 @t1056)) % 0.40/0.89 (define @t1125 () (or @t282 @t1056)) % 0.40/0.89 (define @t1126 () (forall @t9 @t1125)) % 0.40/0.89 (define @t1127 () (forall @t70 @t1126)) % 0.40/0.89 (define @t1128 () (@list @t19 @t4)) % 0.40/0.89 (define @t1129 () (forall @t1128 @t1125)) % 0.40/0.89 (define @t1130 () (=> @t373 @t1121)) % 0.40/0.89 (define @t1131 () (forall @t375 @t1130)) % 0.40/0.89 (define @t1132 () (and @t144 @t620)) % 0.40/0.89 (define @t1133 () (forall @t9 (not @t1132))) % 0.40/0.89 (define @t1134 () (not @t1133)) % 0.40/0.89 (define @t1135 () (=> tptp.descr__Cong @t1064)) % 0.40/0.89 (define @t1136 () (or @t598 (= @t612 @t19))) % 0.40/0.89 (define @t1137 () (forall @t70 @t1136)) % 0.40/0.89 (define @t1138 () (not @t1137)) % 0.40/0.89 (define @t1139 () (or @t613 @t1138 @t611 @t610 @t609)) % 0.40/0.89 (define @t1140 () (or @t611 @t610 @t609)) % 0.40/0.89 (define @t1141 () (or @t613 @t1138)) % 0.40/0.89 (define @t1142 () (or @t1141 @t1140)) % 0.40/0.89 (define @t1143 () (forall @t614 @t1142)) % 0.40/0.89 (define @t1144 () (forall (@list @t612 @t608 @t607) @t1142)) % 0.40/0.89 (define @t1145 () (forall (@list @t608 @t607) @t1140)) % 0.40/0.89 (define @t1146 () (forall (@list @t612) @t1141)) % 0.40/0.89 (define @t1147 () (or @t1146 @t1145)) % 0.40/0.89 (define @t1148 () (or @t315 @t1108 @t129)) % 0.40/0.89 (define @t1149 () (=> @t1120 @t343)) % 0.40/0.89 (define @t1150 () (forall @t150 @t1149)) % 0.40/0.89 (define @t1151 () (=> tptp.exuEu @t1135)) % 0.40/0.89 (define @t1152 () (=> tptp.omega__Cong @t1151)) % 0.40/0.89 (define @t1153 () (tptp.setunion @t1)) % 0.40/0.89 (define @t1154 () (or @t976 (= @t1153 @t1153))) % 0.40/0.89 (define @t1155 () (= @t694 @t1153)) % 0.40/0.89 (define @t1156 () (or @t442 @t442 @t1155)) % 0.40/0.89 (define @t1157 () (or @t442 @t1155)) % 0.40/0.89 (define @t1158 () (forall @t64 @t1157)) % 0.40/0.89 (define @t1159 () (forall @t41 @t1158)) % 0.40/0.89 (define @t1160 () (forall @t991 @t1157)) % 0.40/0.89 (define @t1161 () (or @t442 @t395)) % 0.40/0.89 (define @t1162 () (=> tptp.setunion__Cong @t1152)) % 0.40/0.89 (define @t1163 () (tptp.powerset @t1)) % 0.40/0.89 (define @t1164 () (or @t976 (= @t1163 @t1163))) % 0.40/0.89 (define @t1165 () (= @t708 @t1163)) % 0.40/0.89 (define @t1166 () (or @t442 @t442 @t1165)) % 0.40/0.89 (define @t1167 () (or @t442 @t1165)) % 0.40/0.89 (define @t1168 () (forall @t64 @t1167)) % 0.40/0.89 (define @t1169 () (forall @t41 @t1168)) % 0.40/0.89 (define @t1170 () (forall @t991 @t1167)) % 0.40/0.89 (define @t1171 () (or @t442 @t391)) % 0.40/0.89 (define @t1172 () (=> tptp.powerset__Cong @t1162)) % 0.40/0.89 (define @t1173 () (@var "BOUND_VARIABLE_9398" $$unsorted)) % 0.40/0.89 (define @t1174 () (@list @t19 @t1173)) % 0.40/0.89 (define @t1175 () (tptp.setadjoin @t19 @t1173)) % 0.40/0.89 (define @t1176 () (or @t1122 (= @t1175 @t1175))) % 0.40/0.89 (define @t1177 () (= @t1175 (tptp.setadjoin @t4 @t1173))) % 0.40/0.89 (define @t1178 () (or @t282 @t282 @t1177)) % 0.40/0.89 (define @t1179 () (or @t282 @t1177)) % 0.40/0.89 (define @t1180 () (forall @t9 @t1179)) % 0.40/0.89 (define @t1181 () (forall @t1174 @t1180)) % 0.40/0.89 (define @t1182 () (forall (@list @t19 @t1173 @t4) @t1179)) % 0.40/0.89 (define @t1183 () (forall (@list @t4 @t19 @t1173) @t1179)) % 0.40/0.89 (define @t1184 () (@list @t1173)) % 0.40/0.89 (define @t1185 () (forall @t1184 @t1179)) % 0.40/0.89 (define @t1186 () (forall @t1184 @t1177)) % 0.40/0.89 (define @t1187 () (or @t282 @t1186)) % 0.40/0.89 (define @t1188 () (tptp.setadjoin @t4 @t380)) % 0.40/0.89 (define @t1189 () (tptp.setadjoin @t19 @t380)) % 0.40/0.89 (define @t1190 () (= @t1189 @t1188)) % 0.40/0.89 (define @t1191 () (@list @t380)) % 0.40/0.89 (define @t1192 () (forall @t1191 @t1190)) % 0.40/0.89 (define @t1193 () (not (= @t380 @t380))) % 0.40/0.89 (define @t1194 () (or @t1193 (= @t1188 @t1189))) % 0.40/0.89 (define @t1195 () (tptp.setadjoin @t4 @t289)) % 0.40/0.89 (define @t1196 () (= @t1195 @t1189)) % 0.40/0.89 (define @t1197 () (not @t384)) % 0.40/0.89 (define @t1198 () (or @t1197 @t1197 @t1196)) % 0.40/0.89 (define @t1199 () (@list @t289)) % 0.40/0.89 (define @t1200 () (or @t1197 @t1196)) % 0.40/0.89 (define @t1201 () (forall @t1199 @t1200)) % 0.40/0.89 (define @t1202 () (forall @t1191 @t1201)) % 0.40/0.89 (define @t1203 () (forall (@list @t380 @t289) @t1200)) % 0.40/0.89 (define @t1204 () (or @t1197 @t383)) % 0.40/0.89 (define @t1205 () (=> tptp.setadjoin__Cong @t1172)) % 0.40/0.89 (define @t1206 () (=> tptp.emptyset__Cong @t1205)) % 0.40/0.89 (define @t1207 () (= @t1120 @t1105)) % 0.40/0.89 (define @t1208 () (=> @t373 @t1207)) % 0.40/0.89 (define @t1209 () (forall @t375 @t1208)) % 0.40/0.89 (define @t1210 () (=> tptp.exu__Cong @t1206)) % 0.40/0.89 (define @t1211 () (=> tptp.exuE3u @t1210)) % 0.40/0.89 (define @t1212 () (@var "BOUND_VARIABLE_9271" $$unsorted)) % 0.40/0.89 (define @t1213 () (@list @t1 @t1212)) % 0.40/0.89 (define @t1214 () (tptp.in @t1212 @t1)) % 0.40/0.89 (define @t1215 () (or @t976 (= @t1214 @t1214))) % 0.40/0.89 (define @t1216 () (= (tptp.in @t1212 @t2) @t1214)) % 0.40/0.89 (define @t1217 () (or @t442 @t442 @t1216)) % 0.40/0.89 (define @t1218 () (or @t442 @t1216)) % 0.40/0.89 (define @t1219 () (forall @t64 @t1218)) % 0.40/0.89 (define @t1220 () (forall @t1213 @t1219)) % 0.40/0.89 (define @t1221 () (forall (@list @t1 @t1212 @t2) @t1218)) % 0.40/0.89 (define @t1222 () (forall (@list @t2 @t1 @t1212) @t1218)) % 0.40/0.89 (define @t1223 () (@list @t1212)) % 0.40/0.89 (define @t1224 () (forall @t1223 @t1218)) % 0.40/0.89 (define @t1225 () (forall @t1223 @t1216)) % 0.40/0.89 (define @t1226 () (@list @t19)) % 0.40/0.89 (define @t1227 () (or @t442 @t1225)) % 0.40/0.89 (define @t1228 () (= @t725 @t1057)) % 0.40/0.89 (define @t1229 () (forall @t70 @t1228)) % 0.40/0.89 (define @t1230 () (or @t1122 @t1228)) % 0.40/0.89 (define @t1231 () (= @t570 @t1057)) % 0.40/0.89 (define @t1232 () (or @t282 @t282 @t1231)) % 0.40/0.89 (define @t1233 () (or @t282 @t1231)) % 0.40/0.89 (define @t1234 () (forall @t9 @t1233)) % 0.40/0.89 (define @t1235 () (forall @t70 @t1234)) % 0.40/0.89 (define @t1236 () (forall @t1128 @t1233)) % 0.40/0.89 (define @t1237 () (or @t282 @t357)) % 0.40/0.89 (define @t1238 () (=> tptp.in__Cong @t1211)) % 0.40/0.89 (define @t1239 () (@var "BOUND_VARIABLE_9234" $$unsorted)) % 0.40/0.89 (define @t1240 () (@list @t1 @t1239)) % 0.40/0.89 (define @t1241 () (tptp.in @t1239 @t1)) % 0.40/0.89 (define @t1242 () (not @t1241)) % 0.40/0.89 (define @t1243 () (or @t1242 @t1241)) % 0.40/0.89 (define @t1244 () (or @t976 @t1242 @t1241)) % 0.40/0.89 (define @t1245 () (not (tptp.in @t1239 @t2))) % 0.40/0.89 (define @t1246 () (or @t442 @t442 @t1245 @t1241)) % 0.40/0.89 (define @t1247 () (or @t442 @t1245 @t1241)) % 0.40/0.89 (define @t1248 () (forall @t64 @t1247)) % 0.40/0.89 (define @t1249 () (forall @t1240 @t1248)) % 0.40/0.89 (define @t1250 () (forall (@list @t1 @t1239 @t2) @t1247)) % 0.40/0.89 (define @t1251 () (@list @t2 @t1 @t1239)) % 0.40/0.89 (define @t1252 () (or @t1245 @t1241)) % 0.40/0.89 (define @t1253 () (or @t442 @t1252)) % 0.40/0.89 (define @t1254 () (forall @t1251 @t1253)) % 0.40/0.89 (define @t1255 () (@list @t1239)) % 0.40/0.89 (define @t1256 () (forall @t1255 @t1253)) % 0.40/0.89 (define @t1257 () (forall @t1255 @t1252)) % 0.40/0.89 (define @t1258 () (or @t442 @t1257)) % 0.40/0.89 (define @t1259 () (or @t730 @t1057)) % 0.40/0.89 (define @t1260 () (forall @t70 @t1259)) % 0.40/0.89 (define @t1261 () (or @t1122 @t730 @t1057)) % 0.40/0.89 (define @t1262 () (or @t282 @t282 @t571 @t1057)) % 0.40/0.89 (define @t1263 () (or @t282 @t571 @t1057)) % 0.40/0.89 (define @t1264 () (forall @t9 @t1263)) % 0.40/0.89 (define @t1265 () (forall @t70 @t1264)) % 0.40/0.89 (define @t1266 () (forall @t1128 @t1263)) % 0.40/0.89 (define @t1267 () (or @t282 @t197 @t351)) % 0.40/0.89 (define @t1268 () (=> tptp.inCongP @t1238)) % 0.40/0.89 (define @t1269 () (= @t628 @t19)) % 0.40/0.89 (define @t1270 () (forall @t70 (= @t1269 @t597))) % 0.40/0.89 (define @t1271 () (not @t1270)) % 0.40/0.89 (define @t1272 () (or @t1271 @t625)) % 0.40/0.89 (define @t1273 () (forall @t629 @t1272)) % 0.40/0.89 (define @t1274 () (@list @t628)) % 0.40/0.89 (define @t1275 () (forall @t1274 @t1272)) % 0.40/0.89 (define @t1276 () (forall @t1274 @t1271)) % 0.40/0.89 (define @t1277 () (or @t1276 @t625)) % 0.40/0.89 (define @t1278 () (= @t153 @t129)) % 0.40/0.89 (define @t1279 () (=> @t265 @t1120)) % 0.40/0.89 (define @t1280 () (forall @t150 @t1279)) % 0.40/0.89 (define @t1281 () (=> tptp.exuI2 @t1268)) % 0.40/0.89 (define @t1282 () (@list @t633)) % 0.40/0.89 (define @t1283 () (forall @t1282 @t635)) % 0.40/0.89 (define @t1284 () (forall @t1282 @t634)) % 0.40/0.89 (define @t1285 () (or @t1284 @t632 @t625)) % 0.40/0.89 (define @t1286 () (or @t759 @t632 @t625)) % 0.40/0.89 (define @t1287 () (=> @t631 @t625)) % 0.40/0.89 (define @t1288 () (=> @t343 @t1120)) % 0.40/0.89 (define @t1289 () (forall @t9 @t315)) % 0.40/0.89 (define @t1290 () (not @t1289)) % 0.40/0.89 (define @t1291 () (=> @t186 @t1288)) % 0.40/0.89 (define @t1292 () (forall @t150 @t1291)) % 0.40/0.89 (define @t1293 () (=> tptp.exuI3 @t1281)) % 0.40/0.89 (define @t1294 () (=> @t169 @t1120)) % 0.40/0.89 (define @t1295 () (forall @t150 @t1294)) % 0.40/0.89 (define @t1296 () (=> tptp.exuI1 @t1293)) % 0.40/0.89 (define @t1297 () (forall @t9 (or @t571 @t622))) % 0.40/0.89 (define @t1298 () (not @t1297)) % 0.40/0.89 (define @t1299 () (or @t197 @t144)) % 0.40/0.89 (define @t1300 () (forall @t9 (not @t316))) % 0.40/0.89 (define @t1301 () (not @t1300)) % 0.40/0.89 (define @t1302 () (=> tptp.notdallE @t1296)) % 0.40/0.89 (define @t1303 () (forall @t9 (or @t571 @t623))) % 0.40/0.89 (define @t1304 () (or @t197 @t315)) % 0.40/0.89 (define @t1305 () (forall @t9 (not @t306))) % 0.40/0.89 (define @t1306 () (not @t1305)) % 0.40/0.89 (define @t1307 () (=> tptp.notdexE @t1302)) % 0.40/0.89 (define @t1308 () (or @t975 @t639)) % 0.40/0.89 (define @t1309 () (tptp.prop2set @t173)) % 0.40/0.89 (define @t1310 () (tptp.set2prop @t1309)) % 0.40/0.89 (define @t1311 () (not @t173)) % 0.40/0.89 (define @t1312 () (not (= @t173 true))) % 0.40/0.89 (define @t1313 () (or @t1311 @t1311 @t1310)) % 0.40/0.89 (define @t1314 () (or @t1311 @t1310)) % 0.40/0.89 (define @t1315 () (or @t1311 @t337)) % 0.40/0.89 (define @t1316 () (=> tptp.prop2set2propI @t1307)) % 0.40/0.89 (define @t1317 () (or @t975 @t641)) % 0.40/0.89 (define @t1318 () (tptp.in tptp.emptyset @t1309)) % 0.40/0.89 (define @t1319 () (or @t1311 @t1311 @t1318)) % 0.40/0.89 (define @t1320 () (or @t1311 @t1318)) % 0.40/0.89 (define @t1321 () (or @t1311 @t334)) % 0.40/0.89 (define @t1322 () (=> tptp.prop2setI @t1316)) % 0.40/0.89 (define @t1323 () (=> tptp.quantDeMorgan4 @t1322)) % 0.40/0.89 (define @t1324 () (=> tptp.quantDeMorgan3 @t1323)) % 0.40/0.89 (define @t1325 () (=> tptp.quantDeMorgan2 @t1324)) % 0.40/0.89 (define @t1326 () (=> tptp.quantDeMorgan1 @t1325)) % 0.40/0.89 (define @t1327 () (or @t16 @t144)) % 0.40/0.89 (define @t1328 () (=> tptp.vacuousDall @t1326)) % 0.40/0.89 (define @t1329 () (or @t649 @t648)) % 0.40/0.89 (define @t1330 () (or @t1329 @t651)) % 0.40/0.89 (define @t1331 () (forall @t653 @t1330)) % 0.40/0.89 (define @t1332 () (@list @t647)) % 0.40/0.89 (define @t1333 () (forall @t1332 @t1330)) % 0.40/0.89 (define @t1334 () (forall @t1332 @t1329)) % 0.40/0.89 (define @t1335 () (or @t1334 @t651)) % 0.40/0.89 (define @t1336 () (= tptp.emptyset @t1048)) % 0.40/0.89 (define @t1337 () (not @t1336)) % 0.40/0.89 (define @t1338 () (or @t1303 @t1337)) % 0.40/0.89 (define @t1339 () (= tptp.emptyset @t304)) % 0.40/0.89 (define @t1340 () (not @t1339)) % 0.40/0.89 (define @t1341 () (or @t1303 @t1340)) % 0.40/0.89 (define @t1342 () (not @t1303)) % 0.40/0.89 (define @t1343 () (=> tptp.emptyE1 @t1328)) % 0.40/0.89 (define @t1344 () (=> tptp.upairsetIR @t1343)) % 0.40/0.89 (define @t1345 () (=> tptp.upairsetIL @t1344)) % 0.40/0.89 (define @t1346 () (not @t293)) % 0.40/0.89 (define @t1347 () (or @t1346 @t665 @t664)) % 0.40/0.89 (define @t1348 () (or @t665 @t664)) % 0.40/0.89 (define @t1349 () (=> tptp.upairsetE @t1345)) % 0.40/0.89 (define @t1350 () (not @t276)) % 0.40/0.89 (define @t1351 () (or @t1350 @t280)) % 0.40/0.89 (define @t1352 () (=> tptp.singletonsswitch @t1349)) % 0.40/0.89 (define @t1353 () (or @t1122 @t675)) % 0.40/0.89 (define @t1354 () (or @t282 @t282 @t671)) % 0.40/0.89 (define @t1355 () (or @t282 @t671)) % 0.40/0.89 (define @t1356 () (forall @t9 @t1355)) % 0.40/0.89 (define @t1357 () (forall @t70 @t1356)) % 0.40/0.89 (define @t1358 () (forall @t1128 @t1355)) % 0.40/0.89 (define @t1359 () (or @t282 @t276)) % 0.40/0.89 (define @t1360 () (=> tptp.eqinunit @t1352)) % 0.40/0.89 (define @t1361 () (or @t129 @t281)) % 0.40/0.89 (define @t1362 () (=> tptp.notinsingleton @t1360)) % 0.40/0.89 (define @t1363 () (or @t1350 @t129)) % 0.40/0.89 (define @t1364 () (=> tptp.uniqinunit @t1362)) % 0.40/0.89 (define @t1365 () (not @t196)) % 0.40/0.89 (define @t1366 () (not @t198)) % 0.40/0.89 (define @t1367 () (_ @t554 @t2)) % 0.40/0.89 (define @t1368 () (=> @t1367 @t270)) % 0.40/0.89 (define @t1369 () (forall @t64 @t1368)) % 0.40/0.89 (define @t1370 () (=> tptp.nonemptyImpWitness @t1364)) % 0.40/0.89 (define @t1371 () (or @t598 (= @t686 @t19))) % 0.40/0.89 (define @t1372 () (forall @t70 @t1371)) % 0.40/0.89 (define @t1373 () (not @t1372)) % 0.40/0.89 (define @t1374 () (or @t690 @t687 @t1373)) % 0.40/0.89 (define @t1375 () (or @t687 @t1373)) % 0.40/0.89 (define @t1376 () (or @t1375 @t690)) % 0.40/0.89 (define @t1377 () (forall @t691 @t1376)) % 0.40/0.89 (define @t1378 () (@list @t686)) % 0.40/0.89 (define @t1379 () (forall @t1378 @t1376)) % 0.40/0.89 (define @t1380 () (forall @t1378 @t1375)) % 0.40/0.89 (define @t1381 () (or @t1380 @t690)) % 0.40/0.89 (define @t1382 () (=> @t1120 @t265)) % 0.40/0.89 (define @t1383 () (forall @t150 @t1382)) % 0.40/0.89 (define @t1384 () (=> tptp.exuE2 @t1370)) % 0.40/0.89 (define @t1385 () (or @t197 @t260)) % 0.40/0.89 (define @t1386 () (=> tptp.subPowSU @t1384)) % 0.40/0.89 (define @t1387 () (not @t44)) % 0.40/0.89 (define @t1388 () (or @t1387 @t702)) % 0.40/0.89 (define @t1389 () (not false)) % 0.40/0.89 (define @t1390 () (and @t1389 @t702)) % 0.40/0.89 (define @t1391 () (or @t1390 false)) % 0.40/0.89 (define @t1392 () (and @t1311 @t702)) % 0.40/0.89 (define @t1393 () (not (= @t173 false))) % 0.40/0.89 (define @t1394 () (or @t173 @t1392 @t173)) % 0.40/0.89 (define @t1395 () (or @t1392 @t173)) % 0.40/0.89 (define @t1396 () (or @t173 @t701)) % 0.40/0.89 (define @t1397 () (not @t39)) % 0.40/0.89 (define @t1398 () (or @t434 @t1397)) % 0.40/0.89 (define @t1399 () (forall @t41 @t1398)) % 0.40/0.89 (define @t1400 () (or @t173 @t1399)) % 0.40/0.89 (define @t1401 () (or @t173 @t1398)) % 0.40/0.89 (define @t1402 () (or @t434 @t1397 @t173)) % 0.40/0.89 (define @t1403 () (=> tptp.setunionE @t1386)) % 0.40/0.89 (define @t1404 () (or @t434 @t1397 @t44)) % 0.40/0.89 (define @t1405 () (=> tptp.setunionI @t1403)) % 0.40/0.89 (define @t1406 () (not @t35)) % 0.40/0.89 (define @t1407 () (or @t1406 @t434 @t7)) % 0.40/0.89 (define @t1408 () (or @t434 @t7)) % 0.40/0.89 (define @t1409 () (=> tptp.powersetE @t1405)) % 0.40/0.89 (define @t1410 () (=> tptp.emptyInPowerset @t1409)) % 0.40/0.89 (define @t1411 () (=> tptp.emptyinPowerset @t1410)) % 0.40/0.89 (define @t1412 () (or @t717 @t35)) % 0.40/0.89 (define @t1413 () (=> tptp.powersetI @t1411)) % 0.40/0.89 (define @t1414 () (_ @t155 @t721)) % 0.40/0.89 (define @t1415 () (= @t2 @t1414)) % 0.40/0.89 (define @t1416 () (=> tptp.setoftrueEq @t1413)) % 0.40/0.89 (define @t1417 () (not @t26)) % 0.40/0.89 (define @t1418 () (or @t1417 @t129 @t21)) % 0.40/0.89 (define @t1419 () (or @t129 @t21)) % 0.40/0.89 (define @t1420 () (=> tptp.setadjoinOr @t1416)) % 0.40/0.89 (define @t1421 () (or @t1417 @t129 @t725)) % 0.40/0.89 (define @t1422 () (and @t725 @t1389)) % 0.40/0.89 (define @t1423 () (and @t129 @t1389)) % 0.40/0.89 (define @t1424 () (or @t1423 @t1422)) % 0.40/0.89 (define @t1425 () (or @t1423 @t1422 false)) % 0.40/0.89 (define @t1426 () (and @t725 @t1311)) % 0.40/0.89 (define @t1427 () (and @t129 @t1311)) % 0.40/0.89 (define @t1428 () (or @t173 @t1427 @t1426 @t173)) % 0.40/0.89 (define @t1429 () (or @t1427 @t1426 @t173)) % 0.40/0.89 (define @t1430 () (and @t21 @t1311)) % 0.40/0.89 (define @t1431 () (or @t1427 @t1430 @t173)) % 0.40/0.89 (define @t1432 () (=> @t129 @t173)) % 0.40/0.89 (define @t1433 () (=> tptp.setadjoinE @t1420)) % 0.40/0.89 (define @t1434 () (not @t21)) % 0.40/0.89 (define @t1435 () (or @t1434 @t26)) % 0.40/0.89 (define @t1436 () (=> tptp.setadjoinIR @t1433)) % 0.40/0.89 (define @t1437 () (=> tptp.emptyinunitempty @t1436)) % 0.40/0.89 (define @t1438 () (=> tptp.setadjoinIL @t1437)) % 0.40/0.89 (define @t1439 () (not @t378)) % 0.40/0.89 (define @t1440 () (or @t741 @t1439)) % 0.40/0.89 (define @t1441 () (not (tptp.in @t740 @t2))) % 0.40/0.89 (define @t1442 () (or @t1365 @t1441 @t1365)) % 0.40/0.89 (define @t1443 () (or @t1441 @t1365)) % 0.40/0.89 (define @t1444 () (forall @t64 @t1443)) % 0.40/0.89 (define @t1445 () (forall @t742 @t1444)) % 0.40/0.89 (define @t1446 () (forall (@list @t740 @t2) @t1443)) % 0.40/0.89 (define @t1447 () (forall (@list @t2 @t740) @t1443)) % 0.40/0.89 (define @t1448 () (forall @t742 @t1443)) % 0.40/0.89 (define @t1449 () (forall @t742 @t1441)) % 0.40/0.89 (define @t1450 () (or @t1449 @t1365)) % 0.40/0.89 (define @t1451 () (not @t683)) % 0.40/0.89 (define @t1452 () (=> @t89 @t1367)) % 0.40/0.89 (define @t1453 () (forall @t64 @t1452)) % 0.40/0.89 (define @t1454 () (=> tptp.nonemptyI1 @t1438)) % 0.40/0.89 (define @t1455 () (lambda @t70 @t597)) % 0.40/0.89 (define @t1456 () (tptp.dsetconstr @t2 @t1455)) % 0.40/0.89 (define @t1457 () (= tptp.emptyset @t1456)) % 0.40/0.89 (define @t1458 () (not @t1457)) % 0.40/0.89 (define @t1459 () (or @t571 @t623 @t1458)) % 0.40/0.89 (define @t1460 () (= tptp.emptyset @t156)) % 0.40/0.89 (define @t1461 () (not @t1460)) % 0.40/0.89 (define @t1462 () (or @t197 @t315 @t1461)) % 0.40/0.89 (define @t1463 () (=> @t144 @t1461)) % 0.40/0.89 (define @t1464 () (not (= @t156 tptp.emptyset))) % 0.40/0.89 (define @t1465 () (_ @t554 @t156)) % 0.40/0.89 (define @t1466 () (=> @t144 @t1465)) % 0.40/0.89 (define @t1467 () (=> @t7 @t1466)) % 0.40/0.89 (define @t1468 () (forall @t159 @t1467)) % 0.40/0.89 (define @t1469 () (=> tptp.nonemptyI @t1454)) % 0.40/0.89 (define @t1470 () (=> @t1367 @t89)) % 0.40/0.89 (define @t1471 () (forall @t64 @t1470)) % 0.40/0.89 (define @t1472 () (=> tptp.nonemptyE1 @t1469)) % 0.40/0.89 (define @t1473 () (tptp.in @t4 @t1456)) % 0.40/0.89 (define @t1474 () (= @t622 @t1473)) % 0.40/0.89 (define @t1475 () (or @t571 @t1474)) % 0.40/0.89 (define @t1476 () (= @t144 @t157)) % 0.40/0.89 (define @t1477 () (or @t197 @t1476)) % 0.40/0.89 (define @t1478 () (=> tptp.setbeta @t1472)) % 0.40/0.89 (define @t1479 () (=> tptp.noeltsimpempty @t1478)) % 0.40/0.89 (define @t1480 () (=> tptp.emptyI @t1479)) % 0.40/0.89 (define @t1481 () (=> @t716 @t3)) % 0.40/0.89 (define @t1482 () (=> tptp.setext @t1480)) % 0.40/0.89 (define @t1483 () (or @t598 (= @t757 @t19))) % 0.40/0.89 (define @t1484 () (forall @t70 @t1483)) % 0.40/0.89 (define @t1485 () (not @t1484)) % 0.40/0.89 (define @t1486 () (or @t760 @t758 @t1485)) % 0.40/0.89 (define @t1487 () (or @t758 @t1485)) % 0.40/0.89 (define @t1488 () (or @t1487 @t760)) % 0.40/0.89 (define @t1489 () (forall @t761 @t1488)) % 0.40/0.89 (define @t1490 () (@list @t757)) % 0.40/0.89 (define @t1491 () (forall @t1490 @t1488)) % 0.40/0.89 (define @t1492 () (forall @t1490 @t1487)) % 0.40/0.89 (define @t1493 () (or @t1492 @t760)) % 0.40/0.89 (define @t1494 () (=> @t1120 @t186)) % 0.40/0.89 (define @t1495 () (forall @t150 @t1494)) % 0.40/0.89 (define @t1496 () (=> tptp.exuE3e @t1482)) % 0.40/0.89 (define @t1497 () (=> tptp.notinemptyset @t1496)) % 0.40/0.89 (define @t1498 () (=> tptp.emptysetimpfalse @t1497)) % 0.40/0.89 (define @t1499 () (or @t173 @t173)) % 0.40/0.89 (define @t1500 () (=> tptp.emptysetE @t1498)) % 0.40/0.89 (define @t1501 () (or @t768 false)) % 0.40/0.89 (define @t1502 () (tptp.in @t4 @t1309)) % 0.40/0.89 (define @t1503 () (not @t1502)) % 0.40/0.89 (define @t1504 () (or @t173 @t1503 @t173)) % 0.40/0.89 (define @t1505 () (or @t1503 @t173)) % 0.40/0.89 (define @t1506 () (forall @t179 @t1505)) % 0.40/0.89 (define @t1507 () (forall @t9 @t1506)) % 0.40/0.89 (define @t1508 () (forall (@list @t4 @t173) @t1505)) % 0.40/0.89 (define @t1509 () (not @t175)) % 0.40/0.89 (define @t1510 () (or @t1509 @t173)) % 0.40/0.89 (define @t1511 () (=> tptp.prop2setE @t1500)) % 0.40/0.89 (define @t1512 () (=> @t1120 @t169)) % 0.40/0.89 (define @t1513 () (forall @t150 @t1512)) % 0.40/0.89 (define @t1514 () (=> tptp.exuE1 @t1511)) % 0.40/0.89 (define @t1515 () (not @t1473)) % 0.40/0.89 (define @t1516 () (or @t1515 @t622)) % 0.40/0.89 (define @t1517 () (not @t157)) % 0.40/0.89 (define @t1518 () (or @t1517 @t144)) % 0.40/0.89 (define @t1519 () (=> tptp.dsetconstrER @t1514)) % 0.40/0.89 (define @t1520 () (or @t1515 @t570)) % 0.40/0.89 (define @t1521 () (or @t1517 @t7)) % 0.40/0.89 (define @t1522 () (=> tptp.dsetconstrEL @t1519)) % 0.40/0.89 (define @t1523 () (or @t571 @t623 @t1473)) % 0.40/0.89 (define @t1524 () (or @t197 @t315 @t157)) % 0.40/0.89 (define @t1525 () (=> tptp.dsetconstrI @t1522)) % 0.40/0.89 (define @t1526 () (or @t598 (= @t778 @t19))) % 0.40/0.89 (define @t1527 () (forall @t70 @t1526)) % 0.40/0.89 (define @t1528 () (not @t1527)) % 0.40/0.89 (define @t1529 () (or @t780 @t779 @t1528)) % 0.40/0.89 (define @t1530 () (or @t779 @t1528)) % 0.40/0.89 (define @t1531 () (or @t1530 @t780)) % 0.40/0.89 (define @t1532 () (forall @t781 @t1531)) % 0.40/0.89 (define @t1533 () (@list @t778)) % 0.40/0.89 (define @t1534 () (forall @t1533 @t1531)) % 0.40/0.89 (define @t1535 () (forall @t1533 @t1530)) % 0.40/0.89 (define @t1536 () (or @t1535 @t780)) % 0.40/0.89 (define @t1537 () (_ @t143 @t1082)) % 0.40/0.89 (define @t1538 () (or @t624 @t1537)) % 0.40/0.89 (define @t1539 () (or @t624 @t147)) % 0.40/0.89 (define @t1540 () (=> @t1120 @t147)) % 0.40/0.89 (define @t1541 () (forall @t150 @t1540)) % 0.40/0.89 (define @t1542 () (=> tptp.descrp @t1525)) % 0.40/0.89 (define @t1543 () (and @t831 @t824 @t820 @t808)) % 0.40/0.89 (define @t1544 () (forall @t41 (not @t1543))) % 0.40/0.89 (define @t1545 () (not @t1544)) % 0.40/0.89 (define @t1546 () (@list @t803)) % 0.40/0.89 (define @t1547 () (forall @t1546 @t807)) % 0.40/0.89 (define @t1548 () (forall @t1546 @t804)) % 0.40/0.89 (define @t1549 () (or @t806 @t1548 @t802)) % 0.40/0.89 (define @t1550 () (forall @t9 @t799)) % 0.40/0.89 (define @t1551 () (or @t806 @t1550 @t802)) % 0.40/0.89 (define @t1552 () (not @t1550)) % 0.40/0.89 (define @t1553 () (and @t805 @t1552)) % 0.40/0.89 (define @t1554 () (not @t109)) % 0.40/0.89 (define @t1555 () (not @t110)) % 0.40/0.89 (define @t1556 () (or @t1555 @t1554 @t797 @t793)) % 0.40/0.89 (define @t1557 () (and @t110 @t109 @t796 @t792)) % 0.40/0.89 (define @t1558 () (forall @t112 (not @t1557))) % 0.40/0.89 (define @t1559 () (not @t1558)) % 0.40/0.89 (define @t1560 () (or @t786 @t785)) % 0.40/0.89 (define @t1561 () (or @t789 @t1560 @t787)) % 0.40/0.89 (define @t1562 () (forall @t791 @t1561)) % 0.40/0.89 (define @t1563 () (@list @t784)) % 0.40/0.89 (define @t1564 () (forall @t1563 @t1561)) % 0.40/0.89 (define @t1565 () (forall @t1563 @t1560)) % 0.40/0.89 (define @t1566 () (or @t789 @t1565 @t787)) % 0.40/0.89 (define @t1567 () (tptp.in @t19 @t93)) % 0.40/0.89 (define @t1568 () (forall @t70 (or (not @t1567) @t795))) % 0.40/0.89 (define @t1569 () (not @t100)) % 0.40/0.89 (define @t1570 () (or @t1569 @t1568 @t94)) % 0.40/0.89 (define @t1571 () (or @t1568 @t94)) % 0.40/0.89 (define @t1572 () (not @t97)) % 0.40/0.89 (define @t1573 () (or @t1572 @t96)) % 0.40/0.89 (define @t1574 () (not @t105)) % 0.40/0.89 (define @t1575 () (not @t96)) % 0.40/0.89 (define @t1576 () (or @t1575 @t1574)) % 0.40/0.89 (define @t1577 () (forall @t70 (not @t106))) % 0.40/0.89 (define @t1578 () (not @t1577)) % 0.40/0.89 (define @t1579 () (forall @t9 @t1554)) % 0.40/0.89 (define @t1580 () (not @t1579)) % 0.40/0.89 (define @t1581 () (or @t1554 @t7)) % 0.40/0.89 (define @t1582 () (or @t812 @t811)) % 0.40/0.89 (define @t1583 () (or @t815 @t814)) % 0.40/0.89 (define @t1584 () (or @t817 @t801 @t1583 @t1582)) % 0.40/0.89 (define @t1585 () (forall @t819 @t1584)) % 0.40/0.89 (define @t1586 () (forall (@list @t813 @t810) @t1584)) % 0.40/0.89 (define @t1587 () (forall (@list @t810) @t1582)) % 0.40/0.89 (define @t1588 () (forall (@list @t813) @t1583)) % 0.40/0.89 (define @t1589 () (or @t817 @t801 @t1588 @t1587)) % 0.40/0.89 (define @t1590 () (tptp.in @t4 @t95)) % 0.40/0.89 (define @t1591 () (forall @t9 (or (not @t1590) @t798))) % 0.40/0.89 (define @t1592 () (forall @t9 (or @t799 @t1590))) % 0.40/0.89 (define @t1593 () (not @t124)) % 0.40/0.89 (define @t1594 () (or @t1593 @t1555 @t1592 @t1591)) % 0.40/0.89 (define @t1595 () (or @t1592 @t1591)) % 0.40/0.89 (define @t1596 () (not @t120)) % 0.40/0.89 (define @t1597 () (or @t1596 @t109)) % 0.40/0.89 (define @t1598 () (or @t1554 @t120)) % 0.40/0.89 (define @t1599 () (or @t197 @t1434 @t823 @t129)) % 0.40/0.89 (define @t1600 () (=> @t822 @t129)) % 0.40/0.89 (define @t1601 () (or @t1593 @t130)) % 0.40/0.89 (define @t1602 () (or @t828 @t827)) % 0.40/0.89 (define @t1603 () (or @t817 @t1602)) % 0.40/0.89 (define @t1604 () (forall @t830 @t1603)) % 0.40/0.89 (define @t1605 () (@list @t826)) % 0.40/0.89 (define @t1606 () (forall @t1605 @t1603)) % 0.40/0.89 (define @t1607 () (forall @t1605 @t1602)) % 0.40/0.89 (define @t1608 () (or @t817 @t1607)) % 0.40/0.89 (define @t1609 () (or @t1593 @t805)) % 0.40/0.89 (define @t1610 () (=> tptp.wellorderingAx @t1542)) % 0.40/0.89 (define @t1611 () (@list @t839)) % 0.40/0.89 (define @t1612 () (forall @t1611 @t841)) % 0.40/0.89 (define @t1613 () (forall @t1611 @t840)) % 0.40/0.89 (define @t1614 () (or @t1613 @t838)) % 0.40/0.89 (define @t1615 () (or @t1397 @t837)) % 0.40/0.89 (define @t1616 () (and @t39 @t836)) % 0.40/0.89 (define @t1617 () (forall @t41 (not @t1616))) % 0.40/0.89 (define @t1618 () (not @t1617)) % 0.40/0.89 (define @t1619 () (or @t434 @t197)) % 0.40/0.89 (define @t1620 () (forall @t9 (not @t84))) % 0.40/0.89 (define @t1621 () (not @t1620)) % 0.40/0.89 (define @t1622 () (=> tptp.foundationAx @t1610)) % 0.40/0.89 (define @t1623 () (= @t6 @t845)) % 0.40/0.89 (define @t1624 () (not @t68)) % 0.40/0.89 (define @t1625 () (or @t1434 @t1624)) % 0.40/0.89 (define @t1626 () (forall @t70 (not @t69))) % 0.40/0.89 (define @t1627 () (not @t1626)) % 0.40/0.89 (define @t1628 () (or @t197 @t854)) % 0.40/0.89 (define @t1629 () (_ @t75 @t848)) % 0.40/0.89 (define @t1630 () (not @t1629)) % 0.40/0.89 (define @t1631 () (or @t1630 @t851)) % 0.40/0.89 (define @t1632 () (not @t76)) % 0.40/0.89 (define @t1633 () (or @t1632 @t849)) % 0.40/0.89 (define @t1634 () (_ @t77 @t19)) % 0.40/0.89 (define @t1635 () (not @t1634)) % 0.40/0.89 (define @t1636 () (or @t1635 @t849)) % 0.40/0.89 (define @t1637 () (forall @t70 @t1636)) % 0.40/0.89 (define @t1638 () (not @t1637)) % 0.40/0.89 (define @t1639 () (_ @t77 @t848)) % 0.40/0.89 (define @t1640 () (not @t1639)) % 0.40/0.89 (define @t1641 () (or @t1640 @t1638)) % 0.40/0.89 (define @t1642 () (forall @t853 @t1641)) % 0.40/0.89 (define @t1643 () (not @t1642)) % 0.40/0.89 (define @t1644 () (not (_ @t143 @t848))) % 0.40/0.89 (define @t1645 () (or @t598 (= @t848 @t19))) % 0.40/0.89 (define @t1646 () (forall @t70 @t1645)) % 0.40/0.89 (define @t1647 () (not @t1646)) % 0.40/0.89 (define @t1648 () (or @t1644 @t1647)) % 0.40/0.89 (define @t1649 () (forall @t853 @t1648)) % 0.40/0.89 (define @t1650 () (not @t1649)) % 0.40/0.89 (define @t1651 () (=> @t7 (_ @t1104 @t77))) % 0.40/0.89 (define @t1652 () (forall @t9 @t1651)) % 0.40/0.89 (define @t1653 () (=> @t1652 @t74)) % 0.40/0.89 (define @t1654 () (forall @t81 @t1653)) % 0.40/0.89 (define @t1655 () (=> tptp.replAx @t1622)) % 0.40/0.89 (define @t1656 () (or @t860 @t859)) % 0.40/0.89 (define @t1657 () (or @t868 @t866 @t1656)) % 0.40/0.89 (define @t1658 () (forall @t870 @t1657)) % 0.40/0.89 (define @t1659 () (@list @t858)) % 0.40/0.89 (define @t1660 () (forall @t1659 @t1657)) % 0.40/0.89 (define @t1661 () (forall @t1659 @t1656)) % 0.40/0.89 (define @t1662 () (or @t868 @t866 @t1661)) % 0.40/0.89 (define @t1663 () (forall @t9 (or @t864 @t570))) % 0.40/0.89 (define @t1664 () (not @t61)) % 0.40/0.89 (define @t1665 () (or @t1664 @t866 @t1663)) % 0.40/0.89 (define @t1666 () (and @t61 @t865)) % 0.40/0.89 (define @t1667 () (not @t54)) % 0.40/0.89 (define @t1668 () (or @t1667 @t7)) % 0.40/0.89 (define @t1669 () (_ tptp.in @t861)) % 0.40/0.89 (define @t1670 () (or @t1667 @t197 @t58)) % 0.40/0.89 (define @t1671 () (=> tptp.omegaIndAx @t1655)) % 0.40/0.89 (define @t1672 () (or @t1667 @t53)) % 0.40/0.89 (define @t1673 () (=> tptp.omegaSAx @t1671)) % 0.40/0.89 (define @t1674 () (=> tptp.omega0Ax @t1673)) % 0.40/0.89 (define @t1675 () (= @t44 @t702)) % 0.40/0.89 (define @t1676 () (forall @t41 (not @t40))) % 0.40/0.89 (define @t1677 () (not @t1676)) % 0.40/0.89 (define @t1678 () (=> tptp.setunionAx @t1674)) % 0.40/0.89 (define @t1679 () (= @t35 @t716)) % 0.40/0.89 (define @t1680 () (=> tptp.powersetAx @t1678)) % 0.40/0.89 (define @t1681 () (= @t26 @t1419)) % 0.40/0.89 (define @t1682 () (=> tptp.setadjoinAx @t1680)) % 0.40/0.89 (define @t1683 () (=> tptp.emptysetAx @t1682)) % 0.40/0.89 (define @t1684 () (=> tptp.setextAx @t1683)) % 0.40/0.89 (define @t1685 () (or @t438 @t462)) % 0.40/0.89 (define @t1686 () (@quantifiers_skolemize @t559 2)) % 0.40/0.89 (define @t1687 () (@quantifiers_skolemize @t559 1)) % 0.40/0.89 (define @t1688 () (tptp.setadjoin @t1687 @t1686)) % 0.40/0.89 (define @t1689 () (@quantifiers_skolemize @t559 0)) % 0.40/0.89 (define @t1690 () (tptp.subset @t1689 @t1688)) % 0.40/0.89 (define @t1691 () (tptp.subset @t1689 @t1686)) % 0.40/0.89 (define @t1692 () (not @t1691)) % 0.40/0.89 (define @t1693 () (or @t1692 @t1690)) % 0.40/0.89 (define @t1694 () (@list true)) % 0.40/0.89 (define @t1695 () (@list @t1693)) % 0.40/0.89 (define @t1696 () (tptp.subset @t1686 @t1688)) % 0.40/0.89 (define @t1697 () (not @t1696)) % 0.40/0.89 (define @t1698 () (or @t1692 @t1697 @t1690)) % 0.40/0.89 (define @t1699 () (not @t1698)) % 0.40/0.89 (assume @p1 @t14) % 0.40/0.89 (assume @p2 @t18) % 0.40/0.89 (assume @p3 @t30) % 0.40/0.89 (assume @p4 @t38) % 0.40/0.89 (assume @p5 @t48) % 0.40/0.89 (assume @p6 (= tptp.omega0Ax @t50)) % 0.40/0.89 (assume @p7 @t56) % 0.40/0.89 (assume @p8 @t66) % 0.40/0.89 (assume @p9 @t83) % 0.40/0.89 (assume @p10 @t92) % 0.40/0.89 (assume @p11 @t142) % 0.40/0.89 (assume @p12 @t152) % 0.40/0.89 (assume @p13 @t161) % 0.40/0.89 (assume @p14 @t163) % 0.40/0.89 (assume @p15 @t165) % 0.40/0.89 (assume @p16 @t172) % 0.40/0.89 (assume @p17 @t178) % 0.40/0.89 (assume @p18 @t183) % 0.40/0.89 (assume @p19 @t185) % 0.40/0.89 (assume @p20 (= tptp.notinemptyset @t17)) % 0.40/0.89 (assume @p21 @t189) % 0.40/0.89 (assume @p22 @t195) % 0.40/0.89 (assume @p23 @t201) % 0.40/0.89 (assume @p24 (= tptp.noeltsimpempty @t200)) % 0.40/0.89 (assume @p25 @t204) % 0.40/0.89 (assume @p26 @t208) % 0.40/0.89 (assume @p27 @t212) % 0.40/0.89 (assume @p28 @t215) % 0.40/0.89 (assume @p29 @t219) % 0.40/0.89 (assume @p30 (= tptp.emptyinunitempty @t221)) % 0.40/0.89 (assume @p31 @t223) % 0.40/0.89 (assume @p32 @t231) % 0.40/0.89 (assume @p33 @t234) % 0.40/0.89 (assume @p34 @t238) % 0.40/0.89 (assume @p35 @t241) % 0.40/0.89 (assume @p36 @t244) % 0.40/0.89 (assume @p37 (= tptp.emptyInPowerset @t243)) % 0.40/0.89 (assume @p38 @t247) % 0.40/0.89 (assume @p39 @t251) % 0.40/0.89 (assume @p40 @t258) % 0.40/0.89 (assume @p41 @t262) % 0.40/0.89 (assume @p42 @t268) % 0.40/0.89 (assume @p43 @t273) % 0.40/0.89 (assume @p44 @t278) % 0.40/0.89 (assume @p45 @t284) % 0.40/0.89 (assume @p46 @t286) % 0.40/0.89 (assume @p47 @t288) % 0.40/0.89 (assume @p48 @t297) % 0.40/0.89 (assume @p49 @t300) % 0.40/0.89 (assume @p50 @t303) % 0.40/0.89 (assume @p51 @t311) % 0.40/0.89 (assume @p52 @t314) % 0.40/0.89 (assume @p53 @t322) % 0.40/0.89 (assume @p54 @t327) % 0.40/0.89 (assume @p55 @t330) % 0.40/0.89 (assume @p56 @t333) % 0.40/0.89 (assume @p57 @t336) % 0.40/0.89 (assume @p58 @t339) % 0.40/0.89 (assume @p59 (= tptp.notdexE @t329)) % 0.40/0.89 (assume @p60 (= tptp.notdallE @t321)) % 0.40/0.89 (assume @p61 @t342) % 0.40/0.89 (assume @p62 @t347) % 0.40/0.89 (assume @p63 @t350) % 0.40/0.89 (assume @p64 @t356) % 0.40/0.89 (assume @p65 @t361) % 0.40/0.89 (assume @p66 @t364) % 0.40/0.89 (assume @p67 @t377) % 0.40/0.89 (assume @p68 @t379) % 0.40/0.89 (assume @p69 @t389) % 0.40/0.89 (assume @p70 @t393) % 0.40/0.89 (assume @p71 @t397) % 0.40/0.89 (assume @p72 @t398) % 0.40/0.89 (assume @p73 @t399) % 0.40/0.89 (assume @p74 @t406) % 0.40/0.89 (assume @p75 @t417) % 0.40/0.89 (assume @p76 @t422) % 0.40/0.89 (assume @p77 @t426) % 0.40/0.89 (assume @p78 @t428) % 0.40/0.89 (assume @p79 (= tptp.subsetI2 @t421)) % 0.40/0.89 (assume @p80 @t431) % 0.40/0.89 (assume @p81 @t433) % 0.40/0.89 (assume @p82 @t437) % 0.40/0.89 (assume @p83 @t441) % 0.40/0.89 (assume @p84 @t444) % 0.40/0.89 (assume @p85 @t447) % 0.40/0.89 (assume @p86 @t450) % 0.40/0.89 (assume @p87 @t456) % 0.40/0.89 (assume @p88 @t460) % 0.40/0.89 (assume @p89 @t552) % 0.40/0.89 (assume @p90 true) % 0.40/0.89 (step @p91 (= tptp.exu @t553) :rule refl :args (@t553)) % 0.40/0.89 (step @p92 (= tptp.nonempty @t554) :rule refl :args (@t554)) % 0.40/0.89 (step @p93 :rule refl :args (@t637)) % 0.40/0.89 (step @p94 :rule skolem_intro :args ((@purify true))) % 0.40/0.89 (step @p95 :rule symm :premises (@p94)) % 0.40/0.89 (step @p96 :rule cong :premises (@p95) :args (@t638)) % 0.40/0.89 (step @p97 :rule cong :premises (@p96) :args (@t639)) % 0.40/0.89 (step @p98 :rule cong :premises (@p97 @p93) :args (@t640)) % 0.40/0.89 (step @p99 :rule refl :args (tptp.emptyset)) % 0.40/0.89 (step @p100 :rule cong :premises (@p99 @p96) :args (@t641)) % 0.40/0.89 (step @p101 :rule cong :premises (@p100 @p98) :args (@t642)) % 0.40/0.89 (step @p102 :rule refl :args (@t645)) % 0.40/0.89 (step @p103 :rule cong :premises (@p102 @p101) :args (@t646)) % 0.40/0.89 (step @p104 :rule refl :args (@t654)) % 0.40/0.89 (step @p105 :rule cong :premises (@p104 @p103) :args (@t655)) % 0.40/0.89 (step @p106 :rule refl :args (@t659)) % 0.40/0.89 (step @p107 :rule cong :premises (@p106 @p105) :args (@t660)) % 0.40/0.89 (step @p108 :rule refl :args (@t662)) % 0.40/0.89 (step @p109 :rule cong :premises (@p108 @p107) :args (@t663)) % 0.40/0.89 (step @p110 :rule refl :args (@t667)) % 0.40/0.89 (step @p111 :rule cong :premises (@p110 @p109) :args (@t668)) % 0.40/0.89 (step @p112 :rule refl :args (@t673)) % 0.40/0.89 (step @p113 :rule cong :premises (@p112 @p111) :args (@t674)) % 0.40/0.89 (step @p114 :rule refl :args (@t676)) % 0.40/0.89 (step @p115 :rule cong :premises (@p114 @p113) :args (@t677)) % 0.40/0.89 (step @p116 :rule refl :args (@t678)) % 0.40/0.89 (step @p117 :rule cong :premises (@p116 @p115) :args (@t679)) % 0.40/0.89 (step @p118 :rule refl :args (@t680)) % 0.40/0.89 (step @p119 :rule cong :premises (@p118 @p117) :args (@t681)) % 0.40/0.89 (step @p120 :rule refl :args (@t684)) % 0.40/0.89 (step @p121 :rule cong :premises (@p120 @p119) :args 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:rule not_implies_elim2 :premises (@p3387)) % 0.75/0.90 (step @p3389 :rule not_implies_elim2 :premises (@p3388)) % 0.75/0.90 (step @p3390 :rule not_implies_elim2 :premises (@p3389)) % 0.75/0.90 (step @p3391 :rule not_implies_elim2 :premises (@p3390)) % 0.75/0.90 (step @p3392 :rule not_implies_elim2 :premises (@p3391)) % 0.75/0.90 (step @p3393 :rule not_implies_elim2 :premises (@p3392)) % 0.75/0.90 (step @p3394 :rule not_implies_elim2 :premises (@p3393)) % 0.75/0.90 (step @p3395 :rule not_implies_elim2 :premises (@p3394)) % 0.75/0.90 (step @p3396 :rule not_implies_elim2 :premises (@p3395)) % 0.75/0.90 (step @p3397 :rule not_implies_elim2 :premises (@p3396)) % 0.75/0.90 (step @p3398 :rule not_implies_elim2 :premises (@p3397)) % 0.75/0.90 (step @p3399 :rule not_implies_elim2 :premises (@p3398)) % 0.75/0.90 (step @p3400 :rule not_implies_elim2 :premises (@p3399)) % 0.75/0.90 (step @p3401 :rule not_implies_elim2 :premises (@p3400)) % 0.75/0.90 (step @p3402 :rule not_implies_elim2 :premises (@p3401)) % 0.75/0.90 (step @p3403 :rule not_implies_elim2 :premises (@p3402)) % 0.75/0.90 (step @p3404 :rule not_implies_elim2 :premises (@p3403)) % 0.75/0.90 (step @p3405 :rule not_implies_elim2 :premises (@p3404)) % 0.75/0.90 (step @p3406 :rule not_implies_elim2 :premises (@p3405)) % 0.75/0.90 (step @p3407 :rule not_implies_elim2 :premises (@p3406)) % 0.75/0.90 (step @p3408 :rule not_implies_elim2 :premises (@p3407)) % 0.75/0.90 (step @p3409 :rule not_implies_elim2 :premises (@p3408)) % 0.75/0.90 (step @p3410 :rule not_implies_elim2 :premises (@p3409)) % 0.75/0.90 (step @p3411 :rule not_implies_elim2 :premises (@p3410)) % 0.75/0.90 (step @p3412 :rule not_implies_elim2 :premises (@p3411)) % 0.75/0.90 (step @p3413 :rule not_implies_elim2 :premises (@p3412)) % 0.75/0.90 (step @p3414 :rule not_implies_elim2 :premises (@p3413)) % 0.75/0.90 (step @p3415 :rule not_implies_elim2 :premises (@p3414)) % 0.75/0.90 (step @p3416 :rule not_implies_elim2 :premises (@p3415)) % 0.75/0.90 (step @p3417 :rule not_implies_elim2 :premises (@p3416)) % 0.75/0.90 (step @p3418 :rule not_implies_elim2 :premises (@p3417)) % 0.75/0.90 (step @p3419 :rule not_implies_elim2 :premises (@p3418)) % 0.75/0.90 (step @p3420 :rule not_implies_elim2 :premises (@p3419)) % 0.75/0.90 (step @p3421 :rule not_implies_elim2 :premises (@p3420)) % 0.75/0.90 (step @p3422 :rule not_implies_elim2 :premises (@p3421)) % 0.75/0.90 (step @p3423 :rule not_implies_elim2 :premises (@p3422)) % 0.75/0.90 (step @p3424 :rule not_implies_elim2 :premises (@p3423)) % 0.75/0.90 (step @p3425 :rule not_implies_elim2 :premises (@p3424)) % 0.75/0.90 (step @p3426 :rule not_implies_elim2 :premises (@p3425)) % 0.75/0.90 (step @p3427 :rule not_implies_elim2 :premises (@p3426)) % 0.75/0.90 (step @p3428 :rule not_implies_elim2 :premises (@p3427)) % 0.75/0.90 (step @p3429 :rule not_implies_elim1 :premises (@p3428)) % 0.75/0.90 (step @p3430 :rule not_implies_elim2 :premises (@p3428)) % 0.75/0.90 (step @p3431 :rule not_implies_elim1 :premises (@p3430)) % 0.75/0.90 (step @p3432 :rule instantiate :premises (@p3431) :args ((@list @t1687 @t1686))) % 0.75/0.90 (step @p3433 :rule not_implies_elim2 :premises (@p3430)) % 0.75/0.90 (step @p3434 :rule skolemize :premises (@p3433)) % 0.75/0.90 (step @p3435 :rule cnf_or_neg :args (@t1693 1)) % 0.75/0.90 (step @p3436 :rule chain_m_resolution :premises (@p3435 @p3434) :args ((not @t1690) @t1694 @t1695)) % 0.75/0.90 (step @p3437 :rule bool-double-not-elim :args (@t1691)) % 0.75/0.90 (step @p3438 :rule refl :args (@t1693)) % 0.75/0.90 (step @p3439 :rule nary_cong :premises (@p3438 @p3437) :args ((or @t1693 (not @t1692)))) % 0.75/0.90 (step @p3440 :rule cnf_or_neg :args (@t1693 0)) % 0.75/0.90 (step @p3441 :rule eq_resolve :premises (@p3440 @p3439)) % 0.75/0.90 (step @p3442 :rule reordering :premises (@p3441) :args ((or @t1691 @t1693))) % 0.75/0.90 (step @p3443 :rule chain_m_resolution :premises (@p3442 @p3434) :args (@t1691 @t1694 @t1695)) % 0.75/0.90 (step @p3444 :rule cnf_or_pos :args (@t1698)) % 0.75/0.90 (step @p3445 :rule reordering :premises (@p3444) :args ((or @t1692 @t1690 @t1697 @t1699))) % 0.75/0.90 (step @p3446 :rule chain_m_resolution :premises (@p3445 @p3443 @p3436 @p3432) :args (@t1699 (@list false true false) (@list @t1691 @t1690 @t1696))) % 0.75/0.90 (assume-push @p3453 @t564) % 0.75/0.90 (step @p3448 :rule instantiate :premises (@p3429) :args ((@list @t1689 @t1686 @t1688))) % 0.75/0.90 (step-pop @p3454 :rule scope :premises (@p3448)) % 0.75/0.90 (step @p3449 :rule process_scope :premises (@p3454) :args (@t1698)) % 0.75/0.90 (step @p3451 :rule implies_elim :premises (@p3449)) % 0.75/0.90 (step @p3452 false :rule chain_m_resolution :premises (@p3451 @p3446 @p3429) :args (false (@list true false) (@list @t1698 @t564))) % 0.75/0.90 ) % 0.75/0.90 % SZS output end Proof % 0.75/0.90 % cvc5 exiting %------------------------------------------------------------------------------