%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU550^1 : TPTP v9.2.1. Bugfixed v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:52:09 AM UTC 2026 % Result : Theorem 0.96s 1.14s % Output : Proof 0.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU550^1 : TPTP v9.2.1. Bugfixed v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n013.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 17:41:15 EDT 2026 % 0.18/0.35 % CPUTime : % 0.30/0.53 %----Proving TH0 % 0.96/1.14 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.96/1.14 % SZS status Theorem % 0.96/1.14 % SZS output start Proof % 0.96/1.14 ( % 0.96/1.14 (declare-sort $$unsorted 0) % 0.96/1.14 (declare-const tptp.emptyset $$unsorted) % 0.96/1.14 (declare-const tptp.in__Cong Bool) % 0.96/1.14 (declare-const tptp.inCongP Bool) % 0.96/1.14 (declare-const tptp.exuI3 Bool) % 0.96/1.14 (declare-const tptp.exuI1 Bool) % 0.96/1.14 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.quantDeMorgan3 Bool) % 0.96/1.14 (declare-const tptp.quantDeMorgan2 Bool) % 0.96/1.14 (declare-const tptp.quantDeMorgan1 Bool) % 0.96/1.14 (declare-const tptp.vacuousDall Bool) % 0.96/1.14 (declare-const tptp.emptyE1 Bool) % 0.96/1.14 (declare-const tptp.upairsetIR Bool) % 0.96/1.14 (declare-const tptp.emptysetE Bool) % 0.96/1.14 (declare-const tptp.setadjoinIL Bool) % 0.96/1.14 (declare-const tptp.prop2setE Bool) % 0.96/1.14 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.96/1.14 (declare-const tptp.dsetconstrI Bool) % 0.96/1.14 (declare-const tptp.setext Bool) % 0.96/1.14 (declare-const tptp.nonemptyImpWitness Bool) % 0.96/1.14 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.96/1.14 (declare-const tptp.wellorderingAx Bool) % 0.96/1.14 (declare-const tptp.replAx Bool) % 0.96/1.14 (declare-const tptp.upairsetE Bool) % 0.96/1.14 (declare-const tptp.dsetconstrEL Bool) % 0.96/1.14 (declare-const tptp.prop2setI Bool) % 0.96/1.14 (declare-const tptp.emptyinPowerset Bool) % 0.96/1.14 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.96/1.14 (declare-const tptp.setextAx Bool) % 0.96/1.14 (declare-const tptp.setadjoinOr Bool) % 0.96/1.14 (declare-const tptp.exuE3u Bool) % 0.96/1.14 (declare-const tptp.uniqinunit Bool) % 0.96/1.14 (declare-const tptp.foundationAx Bool) % 0.96/1.14 (declare-const tptp.emptysetimpfalse Bool) % 0.96/1.14 (declare-const tptp.notinemptyset Bool) % 0.96/1.14 (declare-const tptp.setadjoinIR Bool) % 0.96/1.14 (declare-const tptp.exuE2 Bool) % 0.96/1.14 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.14 (declare-const tptp.notdallE Bool) % 0.96/1.14 (declare-const tptp.dsetconstrER Bool) % 0.96/1.14 (declare-const tptp.emptyInPowerset Bool) % 0.96/1.14 (declare-const tptp.setadjoinAx Bool) % 0.96/1.14 (declare-const tptp.nonemptyE1 Bool) % 0.96/1.14 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.96/1.14 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.96/1.14 (declare-const tptp.powersetAx Bool) % 0.96/1.14 (declare-const tptp.prop2set2propI Bool) % 0.96/1.14 (declare-const tptp.powersetE Bool) % 0.96/1.14 (declare-const tptp.omegaSAx Bool) % 0.96/1.14 (declare-const tptp.descrp Bool) % 0.96/1.14 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.96/1.14 (declare-const tptp.omega0Ax Bool) % 0.96/1.14 (declare-const tptp.setoftrueEq Bool) % 0.96/1.14 (declare-const tptp.setunionAx Bool) % 0.96/1.14 (declare-const tptp.omega $$unsorted) % 0.96/1.14 (declare-const tptp.omegaIndAx Bool) % 0.96/1.14 (declare-const tptp.quantDeMorgan4 Bool) % 0.96/1.14 (declare-const tptp.powersetI Bool) % 0.96/1.14 (declare-const tptp.exuE3e Bool) % 0.96/1.14 (declare-const tptp.emptyI Bool) % 0.96/1.14 (declare-const tptp.noeltsimpempty Bool) % 0.96/1.14 (declare-const tptp.eqinunit Bool) % 0.96/1.14 (declare-const tptp.upairsetIL Bool) % 0.96/1.14 (declare-const tptp.nonemptyI Bool) % 0.96/1.14 (declare-const tptp.emptysetAx Bool) % 0.96/1.14 (declare-const tptp.nonemptyI1 Bool) % 0.96/1.14 (declare-const tptp.emptyinunitempty Bool) % 0.96/1.14 (declare-const tptp.setadjoinE Bool) % 0.96/1.14 (declare-const tptp.notdexE Bool) % 0.96/1.14 (declare-const tptp.setunionI Bool) % 0.96/1.14 (declare-const tptp.exuE1 Bool) % 0.96/1.14 (declare-const tptp.setunionE Bool) % 0.96/1.14 (declare-const tptp.exuI2 Bool) % 0.96/1.14 (declare-const tptp.subPowSU Bool) % 0.96/1.14 (declare-const tptp.notinsingleton Bool) % 0.96/1.14 (declare-const tptp.setbeta Bool) % 0.96/1.14 (declare-const tptp.singletonsswitch Bool) % 0.96/1.14 (define tptp.exu () (let ((_let_1 (@var "Xy" $$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)))))))))) % 0.96/1.14 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.96/1.14 (define @t1 () (@var "B" $$unsorted)) % 0.96/1.14 (define @t2 () (@var "A" $$unsorted)) % 0.96/1.14 (define @t3 () (= @t2 @t1)) % 0.96/1.14 (define @t4 () (@var "Xx" $$unsorted)) % 0.96/1.14 (define @t5 () (_ tptp.in @t4)) % 0.96/1.14 (define @t6 () (_ @t5 @t1)) % 0.96/1.14 (define @t7 () (_ @t5 @t2)) % 0.96/1.14 (define @t8 () (= @t7 @t6)) % 0.96/1.14 (define @t9 () (@list @t4)) % 0.96/1.14 (define @t10 () (forall @t9 @t8)) % 0.96/1.14 (define @t11 () (=> @t10 @t3)) % 0.96/1.14 (define @t12 () (@list @t2 @t1)) % 0.96/1.14 (define @t13 () (forall @t12 @t11)) % 0.96/1.14 (define @t14 () (= tptp.setextAx @t13)) % 0.96/1.14 (define @t15 () (_ @t5 tptp.emptyset)) % 0.96/1.14 (define @t16 () (not @t15)) % 0.96/1.14 (define @t17 () (forall @t9 @t16)) % 0.96/1.14 (define @t18 () (= tptp.emptysetAx @t17)) % 0.96/1.14 (define @t19 () (@var "Xy" $$unsorted)) % 0.96/1.14 (define @t20 () (_ tptp.in @t19)) % 0.96/1.14 (define @t21 () (_ @t20 @t2)) % 0.96/1.14 (define @t22 () (= @t19 @t4)) % 0.96/1.14 (define @t23 () (or @t22 @t21)) % 0.96/1.14 (define @t24 () (_ tptp.setadjoin @t4)) % 0.96/1.14 (define @t25 () (_ @t24 @t2)) % 0.96/1.14 (define @t26 () (_ @t20 @t25)) % 0.96/1.14 (define @t27 () (= @t26 @t23)) % 0.96/1.14 (define @t28 () (@list @t4 @t2 @t19)) % 0.96/1.14 (define @t29 () (forall @t28 @t27)) % 0.96/1.14 (define @t30 () (= tptp.setadjoinAx @t29)) % 0.96/1.14 (define @t31 () (=> @t6 @t7)) % 0.96/1.14 (define @t32 () (forall @t9 @t31)) % 0.96/1.14 (define @t33 () (_ tptp.powerset @t2)) % 0.96/1.14 (define @t34 () (_ tptp.in @t1)) % 0.96/1.14 (define @t35 () (_ @t34 @t33)) % 0.96/1.14 (define @t36 () (= @t35 @t32)) % 0.96/1.14 (define @t37 () (forall @t12 @t36)) % 0.96/1.14 (define @t38 () (= tptp.powersetAx @t37)) % 0.96/1.14 (define @t39 () (_ @t34 @t2)) % 0.96/1.14 (define @t40 () (and @t6 @t39)) % 0.96/1.14 (define @t41 () (@list @t1)) % 0.96/1.14 (define @t42 () (exists @t41 @t40)) % 0.96/1.14 (define @t43 () (_ tptp.setunion @t2)) % 0.96/1.14 (define @t44 () (_ @t5 @t43)) % 0.96/1.14 (define @t45 () (= @t44 @t42)) % 0.96/1.14 (define @t46 () (@list @t2 @t4)) % 0.96/1.14 (define @t47 () (forall @t46 @t45)) % 0.96/1.14 (define @t48 () (= tptp.setunionAx @t47)) % 0.96/1.14 (define @t49 () (_ tptp.in tptp.emptyset)) % 0.96/1.14 (define @t50 () (_ @t49 tptp.omega)) % 0.96/1.14 (define @t51 () (_ @t24 @t4)) % 0.96/1.14 (define @t52 () (_ tptp.in @t51)) % 0.96/1.14 (define @t53 () (_ @t52 tptp.omega)) % 0.96/1.14 (define @t54 () (_ @t5 tptp.omega)) % 0.96/1.14 (define @t55 () (forall @t9 (=> @t54 @t53))) % 0.96/1.14 (define @t56 () (= tptp.omegaSAx @t55)) % 0.96/1.14 (define @t57 () (forall @t9 (=> @t54 @t7))) % 0.96/1.14 (define @t58 () (_ @t52 @t2)) % 0.96/1.14 (define @t59 () (and @t54 @t7)) % 0.96/1.14 (define @t60 () (forall @t9 (=> @t59 @t58))) % 0.96/1.14 (define @t61 () (_ @t49 @t2)) % 0.96/1.14 (define @t62 () (and @t61 @t60)) % 0.96/1.14 (define @t63 () (=> @t62 @t57)) % 0.96/1.14 (define @t64 () (@list @t2)) % 0.96/1.14 (define @t65 () (forall @t64 @t63)) % 0.96/1.14 (define @t66 () (= tptp.omegaIndAx @t65)) % 0.96/1.14 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.96/1.14 (define @t68 () (_ (_ @t67 @t19) @t4)) % 0.96/1.14 (define @t69 () (and @t21 @t68)) % 0.96/1.14 (define @t70 () (@list @t19)) % 0.96/1.14 (define @t71 () (exists @t70 @t69)) % 0.96/1.14 (define @t72 () (= @t6 @t71)) % 0.96/1.14 (define @t73 () (forall @t9 @t72)) % 0.96/1.14 (define @t74 () (exists @t41 @t73)) % 0.96/1.14 (define @t75 () (_ @t67 @t4)) % 0.96/1.14 (define @t76 () (_ @t75 @t19)) % 0.96/1.14 (define @t77 () (lambda @t70 @t76)) % 0.96/1.14 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 0.96/1.14 (define @t79 () (forall @t9 @t78)) % 0.96/1.14 (define @t80 () (=> @t79 @t74)) % 0.96/1.14 (define @t81 () (@list @t67 @t2)) % 0.96/1.14 (define @t82 () (forall @t81 @t80)) % 0.96/1.14 (define @t83 () (= tptp.replAx @t82)) % 0.96/1.14 (define @t84 () (and @t6 @t7)) % 0.96/1.14 (define @t85 () (exists @t9 @t84)) % 0.96/1.14 (define @t86 () (not @t85)) % 0.96/1.14 (define @t87 () (and @t39 @t86)) % 0.96/1.14 (define @t88 () (exists @t41 @t87)) % 0.96/1.14 (define @t89 () (exists @t9 @t7)) % 0.96/1.14 (define @t90 () (=> @t89 @t88)) % 0.96/1.14 (define @t91 () (forall @t64 @t90)) % 0.96/1.14 (define @t92 () (= tptp.foundationAx @t91)) % 0.96/1.14 (define @t93 () (@var "E" $$unsorted)) % 0.96/1.14 (define @t94 () (_ @t5 @t93)) % 0.96/1.14 (define @t95 () (@var "D" $$unsorted)) % 0.96/1.14 (define @t96 () (_ @t20 @t95)) % 0.96/1.14 (define @t97 () (_ @t20 @t93)) % 0.96/1.14 (define @t98 () (forall @t70 (=> @t97 @t96))) % 0.96/1.14 (define @t99 () (or @t98 @t94)) % 0.96/1.14 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 0.96/1.14 (define @t101 () (=> @t100 @t99)) % 0.96/1.14 (define @t102 () (@list @t93)) % 0.96/1.14 (define @t103 () (forall @t102 @t101)) % 0.96/1.14 (define @t104 () (@var "C" $$unsorted)) % 0.96/1.14 (define @t105 () (_ @t20 @t104)) % 0.96/1.14 (define @t106 () (and @t96 @t105)) % 0.96/1.14 (define @t107 () (exists @t70 @t106)) % 0.96/1.14 (define @t108 () (not @t107)) % 0.96/1.14 (define @t109 () (_ @t5 @t104)) % 0.96/1.14 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 0.96/1.14 (define @t111 () (and @t110 @t109 @t108 @t103)) % 0.96/1.14 (define @t112 () (@list @t95 @t4)) % 0.96/1.14 (define @t113 () (exists @t112 @t111)) % 0.96/1.14 (define @t114 () (exists @t9 @t109)) % 0.96/1.14 (define @t115 () (forall @t9 (=> @t109 @t7))) % 0.96/1.14 (define @t116 () (and @t115 @t114)) % 0.96/1.14 (define @t117 () (=> @t116 @t113)) % 0.96/1.14 (define @t118 () (@list @t104)) % 0.96/1.14 (define @t119 () (forall @t118 @t117)) % 0.96/1.14 (define @t120 () (_ @t5 @t95)) % 0.96/1.14 (define @t121 () (forall @t9 (=> @t120 @t109))) % 0.96/1.14 (define @t122 () (forall @t9 (=> @t109 @t120))) % 0.96/1.14 (define @t123 () (or @t122 @t121)) % 0.96/1.14 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 0.96/1.14 (define @t125 () (and @t124 @t110)) % 0.96/1.14 (define @t126 () (=> @t125 @t123)) % 0.96/1.14 (define @t127 () (@list @t104 @t95)) % 0.96/1.14 (define @t128 () (forall @t127 @t126)) % 0.96/1.14 (define @t129 () (= @t4 @t19)) % 0.96/1.14 (define @t130 () (= @t109 @t105)) % 0.96/1.14 (define @t131 () (forall @t118 (=> @t124 @t130))) % 0.96/1.14 (define @t132 () (=> @t131 @t129)) % 0.96/1.14 (define @t133 () (and @t7 @t21)) % 0.96/1.14 (define @t134 () (=> @t133 @t132)) % 0.96/1.14 (define @t135 () (@list @t4 @t19)) % 0.96/1.14 (define @t136 () (forall @t135 @t134)) % 0.96/1.14 (define @t137 () (=> @t124 @t115)) % 0.96/1.14 (define @t138 () (forall @t118 @t137)) % 0.96/1.14 (define @t139 () (and @t138 @t136 @t128 @t119)) % 0.96/1.14 (define @t140 () (exists @t41 @t139)) % 0.96/1.14 (define @t141 () (forall @t64 @t140)) % 0.96/1.14 (define @t142 () (= tptp.wellorderingAx @t141)) % 0.96/1.14 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 0.96/1.14 (define @t144 () (_ @t143 @t4)) % 0.96/1.14 (define @t145 () (lambda @t9 @t144)) % 0.96/1.14 (define @t146 () (_ tptp.descr @t145)) % 0.96/1.14 (define @t147 () (_ @t143 @t146)) % 0.96/1.14 (define @t148 () (_ tptp.exu @t145)) % 0.96/1.14 (define @t149 () (=> @t148 @t147)) % 0.96/1.14 (define @t150 () (@list @t143)) % 0.96/1.14 (define @t151 () (forall @t150 @t149)) % 0.96/1.14 (define @t152 () (= tptp.descrp @t151)) % 0.96/1.14 (define @t153 () (_ @t143 @t19)) % 0.96/1.14 (define @t154 () (lambda @t70 @t153)) % 0.96/1.14 (define @t155 () (_ tptp.dsetconstr @t2)) % 0.96/1.14 (define @t156 () (_ @t155 @t154)) % 0.96/1.14 (define @t157 () (_ @t5 @t156)) % 0.96/1.14 (define @t158 () (=> @t144 @t157)) % 0.96/1.14 (define @t159 () (@list @t2 @t143 @t4)) % 0.96/1.14 (define @t160 () (forall @t159 (=> @t7 @t158))) % 0.96/1.14 (define @t161 () (= tptp.dsetconstrI @t160)) % 0.96/1.14 (define @t162 () (forall @t159 (=> @t157 @t7))) % 0.96/1.14 (define @t163 () (= tptp.dsetconstrEL @t162)) % 0.96/1.14 (define @t164 () (forall @t159 (=> @t157 @t144))) % 0.96/1.14 (define @t165 () (= tptp.dsetconstrER @t164)) % 0.96/1.14 (define @t166 () (=> @t153 @t129)) % 0.96/1.14 (define @t167 () (forall @t70 @t166)) % 0.96/1.14 (define @t168 () (and @t144 @t167)) % 0.96/1.14 (define @t169 () (exists @t9 @t168)) % 0.96/1.14 (define @t170 () (=> @t148 @t169)) % 0.96/1.14 (define @t171 () (forall @t150 @t170)) % 0.96/1.14 (define @t172 () (= tptp.exuE1 @t171)) % 0.96/1.14 (define @t173 () (@var "Xphi" Bool)) % 0.96/1.14 (define @t174 () (_ tptp.prop2set @t173)) % 0.96/1.14 (define @t175 () (_ @t5 @t174)) % 0.96/1.14 (define @t176 () (@list @t173 @t4)) % 0.96/1.14 (define @t177 () (forall @t176 (=> @t175 @t173))) % 0.96/1.14 (define @t178 () (= tptp.prop2setE @t177)) % 0.96/1.14 (define @t179 () (@list @t173)) % 0.96/1.14 (define @t180 () (forall @t179 @t173)) % 0.96/1.14 (define @t181 () (=> @t15 @t180)) % 0.96/1.14 (define @t182 () (forall @t9 @t181)) % 0.96/1.14 (define @t183 () (= tptp.emptysetE @t182)) % 0.96/1.14 (define @t184 () (forall @t9 (=> @t15 false))) % 0.96/1.14 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 0.96/1.14 (define @t186 () (exists @t9 @t144)) % 0.96/1.14 (define @t187 () (=> @t148 @t186)) % 0.96/1.14 (define @t188 () (forall @t150 @t187)) % 0.96/1.14 (define @t189 () (= tptp.exuE3e @t188)) % 0.96/1.14 (define @t190 () (=> @t32 @t3)) % 0.96/1.14 (define @t191 () (forall @t9 (=> @t7 @t6))) % 0.96/1.14 (define @t192 () (=> @t191 @t190)) % 0.96/1.14 (define @t193 () (forall @t12 @t192)) % 0.96/1.14 (define @t194 () (= tptp.setext @t193)) % 0.96/1.14 (define @t195 () (= @t2 tptp.emptyset)) % 0.96/1.14 (define @t196 () (not @t7)) % 0.96/1.14 (define @t197 () (forall @t9 @t196)) % 0.96/1.14 (define @t198 () (=> @t197 @t195)) % 0.96/1.14 (define @t199 () (forall @t64 @t198)) % 0.96/1.14 (define @t200 () (= tptp.emptyI @t199)) % 0.96/1.14 (define @t201 () (=> @t7 (= @t157 @t144))) % 0.96/1.14 (define @t202 () (forall @t159 @t201)) % 0.96/1.14 (define @t203 () (= tptp.setbeta @t202)) % 0.96/1.14 (define @t204 () (_ tptp.nonempty @t2)) % 0.96/1.14 (define @t205 () (=> @t204 @t89)) % 0.96/1.14 (define @t206 () (forall @t64 @t205)) % 0.96/1.14 (define @t207 () (= tptp.nonemptyE1 @t206)) % 0.96/1.14 (define @t208 () (=> @t144 (_ tptp.nonempty @t156))) % 0.96/1.14 (define @t209 () (=> @t7 @t208)) % 0.96/1.14 (define @t210 () (forall @t159 @t209)) % 0.96/1.14 (define @t211 () (= tptp.nonemptyI @t210)) % 0.96/1.14 (define @t212 () (=> @t89 @t204)) % 0.96/1.14 (define @t213 () (forall @t64 @t212)) % 0.96/1.14 (define @t214 () (= tptp.nonemptyI1 @t213)) % 0.96/1.14 (define @t215 () (_ @t24 @t19)) % 0.96/1.14 (define @t216 () (_ @t5 @t215)) % 0.96/1.14 (define @t217 () (forall @t135 @t216)) % 0.96/1.14 (define @t218 () (= tptp.setadjoinIL @t217)) % 0.96/1.14 (define @t219 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 0.96/1.14 (define @t220 () (_ @t49 @t219)) % 0.96/1.14 (define @t221 () (forall @t28 (=> @t21 @t26))) % 0.96/1.14 (define @t222 () (= tptp.setadjoinIR @t221)) % 0.96/1.14 (define @t223 () (=> @t21 @t173)) % 0.96/1.14 (define @t224 () (=> @t223 @t173)) % 0.96/1.14 (define @t225 () (=> @t22 @t173)) % 0.96/1.14 (define @t226 () (=> @t225 @t224)) % 0.96/1.14 (define @t227 () (forall @t179 @t226)) % 0.96/1.14 (define @t228 () (=> @t26 @t227)) % 0.96/1.14 (define @t229 () (forall @t28 @t228)) % 0.96/1.14 (define @t230 () (= tptp.setadjoinE @t229)) % 0.96/1.14 (define @t231 () (=> @t26 @t23)) % 0.96/1.14 (define @t232 () (forall @t28 @t231)) % 0.96/1.14 (define @t233 () (= tptp.setadjoinOr @t232)) % 0.96/1.14 (define @t234 () (lambda @t9 true)) % 0.96/1.14 (define @t235 () (= (_ @t155 @t234) @t2)) % 0.96/1.14 (define @t236 () (forall @t64 @t235)) % 0.96/1.14 (define @t237 () (= tptp.setoftrueEq @t236)) % 0.96/1.14 (define @t238 () (=> @t32 @t35)) % 0.96/1.14 (define @t239 () (forall @t12 @t238)) % 0.96/1.14 (define @t240 () (= tptp.powersetI @t239)) % 0.96/1.14 (define @t241 () (_ @t49 @t33)) % 0.96/1.14 (define @t242 () (forall @t64 @t241)) % 0.96/1.14 (define @t243 () (= tptp.emptyinPowerset @t242)) % 0.96/1.14 (define @t244 () (@list @t2 @t1 @t4)) % 0.96/1.14 (define @t245 () (forall @t244 (=> @t35 @t31))) % 0.96/1.14 (define @t246 () (= tptp.powersetE @t245)) % 0.96/1.14 (define @t247 () (=> @t39 @t44)) % 0.96/1.14 (define @t248 () (@list @t2 @t4 @t1)) % 0.96/1.14 (define @t249 () (forall @t248 (=> @t6 @t247))) % 0.96/1.14 (define @t250 () (= tptp.setunionI @t249)) % 0.96/1.14 (define @t251 () (=> @t39 @t173)) % 0.96/1.14 (define @t252 () (forall @t41 (=> @t6 @t251))) % 0.96/1.14 (define @t253 () (=> @t252 @t173)) % 0.96/1.14 (define @t254 () (forall @t179 @t253)) % 0.96/1.14 (define @t255 () (=> @t44 @t254)) % 0.96/1.14 (define @t256 () (forall @t46 @t255)) % 0.96/1.14 (define @t257 () (= tptp.setunionE @t256)) % 0.96/1.14 (define @t258 () (_ tptp.powerset @t43)) % 0.96/1.14 (define @t259 () (_ @t5 @t258)) % 0.96/1.14 (define @t260 () (forall @t46 (=> @t7 @t259))) % 0.96/1.14 (define @t261 () (= tptp.subPowSU @t260)) % 0.96/1.14 (define @t262 () (= @t153 @t22)) % 0.96/1.14 (define @t263 () (forall @t70 @t262)) % 0.96/1.14 (define @t264 () (exists @t9 @t263)) % 0.96/1.14 (define @t265 () (=> @t148 @t264)) % 0.96/1.14 (define @t266 () (forall @t150 @t265)) % 0.96/1.14 (define @t267 () (= tptp.exuE2 @t266)) % 0.96/1.14 (define @t268 () (and @t7 true)) % 0.96/1.14 (define @t269 () (exists @t9 @t268)) % 0.96/1.14 (define @t270 () (=> @t204 @t269)) % 0.96/1.14 (define @t271 () (forall @t64 @t270)) % 0.96/1.14 (define @t272 () (= tptp.nonemptyImpWitness @t271)) % 0.96/1.14 (define @t273 () (_ (_ tptp.setadjoin @t19) tptp.emptyset)) % 0.96/1.14 (define @t274 () (_ @t5 @t273)) % 0.96/1.14 (define @t275 () (forall @t135 (=> @t274 @t129))) % 0.96/1.14 (define @t276 () (= tptp.uniqinunit @t275)) % 0.96/1.14 (define @t277 () (_ @t24 tptp.emptyset)) % 0.96/1.14 (define @t278 () (_ @t20 @t277)) % 0.96/1.14 (define @t279 () (not @t278)) % 0.96/1.14 (define @t280 () (not @t129)) % 0.96/1.14 (define @t281 () (forall @t135 (=> @t280 @t279))) % 0.96/1.14 (define @t282 () (= tptp.notinsingleton @t281)) % 0.96/1.14 (define @t283 () (forall @t135 (=> @t129 @t274))) % 0.96/1.14 (define @t284 () (= tptp.eqinunit @t283)) % 0.96/1.14 (define @t285 () (forall @t135 (=> @t274 @t278))) % 0.96/1.14 (define @t286 () (= tptp.singletonsswitch @t285)) % 0.96/1.14 (define @t287 () (@var "Xz" $$unsorted)) % 0.96/1.14 (define @t288 () (or (= @t287 @t4) (= @t287 @t19))) % 0.96/1.14 (define @t289 () (_ @t24 @t273)) % 0.96/1.14 (define @t290 () (_ tptp.in @t287)) % 0.96/1.14 (define @t291 () (_ @t290 @t289)) % 0.96/1.14 (define @t292 () (=> @t291 @t288)) % 0.96/1.14 (define @t293 () (@list @t4 @t19 @t287)) % 0.96/1.14 (define @t294 () (forall @t293 @t292)) % 0.96/1.14 (define @t295 () (= tptp.upairsetE @t294)) % 0.96/1.14 (define @t296 () (_ @t5 @t289)) % 0.96/1.14 (define @t297 () (forall @t135 @t296)) % 0.96/1.14 (define @t298 () (= tptp.upairsetIL @t297)) % 0.96/1.14 (define @t299 () (_ @t20 @t289)) % 0.96/1.14 (define @t300 () (forall @t135 @t299)) % 0.96/1.14 (define @t301 () (= tptp.upairsetIR @t300)) % 0.96/1.14 (define @t302 () (_ @t155 @t145)) % 0.96/1.14 (define @t303 () (= @t302 tptp.emptyset)) % 0.96/1.14 (define @t304 () (and @t7 @t144)) % 0.96/1.14 (define @t305 () (exists @t9 @t304)) % 0.96/1.14 (define @t306 () (=> @t305 (=> @t303 false))) % 0.96/1.14 (define @t307 () (@list @t2 @t143)) % 0.96/1.14 (define @t308 () (forall @t307 @t306)) % 0.96/1.14 (define @t309 () (= tptp.emptyE1 @t308)) % 0.96/1.14 (define @t310 () (@list @t143 @t4)) % 0.96/1.14 (define @t311 () (forall @t310 (=> @t15 @t144))) % 0.96/1.14 (define @t312 () (= tptp.vacuousDall @t311)) % 0.96/1.14 (define @t313 () (not @t144)) % 0.96/1.14 (define @t314 () (and @t7 @t313)) % 0.96/1.14 (define @t315 () (exists @t9 @t314)) % 0.96/1.14 (define @t316 () (forall @t9 (=> @t7 @t144))) % 0.96/1.14 (define @t317 () (not @t316)) % 0.96/1.14 (define @t318 () (=> @t317 @t315)) % 0.96/1.14 (define @t319 () (forall @t307 @t318)) % 0.96/1.14 (define @t320 () (= tptp.quantDeMorgan1 @t319)) % 0.96/1.14 (define @t321 () (not @t305)) % 0.96/1.14 (define @t322 () (forall @t9 (=> @t7 @t313))) % 0.96/1.14 (define @t323 () (=> @t322 @t321)) % 0.96/1.14 (define @t324 () (forall @t307 @t323)) % 0.96/1.14 (define @t325 () (= tptp.quantDeMorgan2 @t324)) % 0.96/1.14 (define @t326 () (=> @t321 @t322)) % 0.96/1.14 (define @t327 () (forall @t307 @t326)) % 0.96/1.14 (define @t328 () (= tptp.quantDeMorgan3 @t327)) % 0.96/1.14 (define @t329 () (=> @t315 @t317)) % 0.96/1.14 (define @t330 () (forall @t307 @t329)) % 0.96/1.14 (define @t331 () (= tptp.quantDeMorgan4 @t330)) % 0.96/1.14 (define @t332 () (_ @t49 @t174)) % 0.96/1.14 (define @t333 () (forall @t179 (=> @t173 @t332))) % 0.96/1.14 (define @t334 () (= tptp.prop2setI @t333)) % 0.96/1.14 (define @t335 () (_ tptp.set2prop @t174)) % 0.96/1.14 (define @t336 () (forall @t179 (=> @t173 @t335))) % 0.96/1.14 (define @t337 () (= tptp.prop2set2propI @t336)) % 0.96/1.14 (define @t338 () (=> @t169 @t148)) % 0.96/1.14 (define @t339 () (forall @t150 @t338)) % 0.96/1.14 (define @t340 () (= tptp.exuI1 @t339)) % 0.96/1.14 (define @t341 () (forall @t135 (=> @t144 @t166))) % 0.96/1.14 (define @t342 () (=> @t341 @t148)) % 0.96/1.14 (define @t343 () (=> @t186 @t342)) % 0.96/1.14 (define @t344 () (forall @t150 @t343)) % 0.96/1.14 (define @t345 () (= tptp.exuI3 @t344)) % 0.96/1.14 (define @t346 () (=> @t264 @t148)) % 0.96/1.14 (define @t347 () (forall @t150 @t346)) % 0.96/1.14 (define @t348 () (= tptp.exuI2 @t347)) % 0.96/1.14 (define @t349 () (_ @t20 @t1)) % 0.96/1.14 (define @t350 () (=> @t7 @t349)) % 0.96/1.14 (define @t351 () (forall @t135 (=> @t129 @t350))) % 0.96/1.14 (define @t352 () (=> @t3 @t351)) % 0.96/1.14 (define @t353 () (forall @t12 @t352)) % 0.96/1.14 (define @t354 () (= tptp.inCongP @t353)) % 0.96/1.14 (define @t355 () (= @t7 @t349)) % 0.96/1.14 (define @t356 () (forall @t135 (=> @t129 @t355))) % 0.96/1.14 (define @t357 () (=> @t3 @t356)) % 0.96/1.14 (define @t358 () (forall @t12 @t357)) % 0.96/1.14 (define @t359 () (= tptp.in__Cong @t358)) % 0.96/1.14 (define @t360 () (=> @t148 @t341)) % 0.96/1.14 (define @t361 () (forall @t150 @t360)) % 0.96/1.14 (define @t362 () (= tptp.exuE3u @t361)) % 0.96/1.14 (define @t363 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.96/1.14 (define @t364 () (_ @t363 @t4)) % 0.96/1.14 (define @t365 () (lambda @t9 @t364)) % 0.96/1.14 (define @t366 () (= @t148 (_ tptp.exu @t365))) % 0.96/1.14 (define @t367 () (_ @t363 @t19)) % 0.96/1.14 (define @t368 () (= @t144 @t367)) % 0.96/1.14 (define @t369 () (forall @t135 (=> @t129 @t368))) % 0.96/1.14 (define @t370 () (=> @t369 @t366)) % 0.96/1.14 (define @t371 () (@list @t143 @t363)) % 0.96/1.14 (define @t372 () (forall @t371 @t370)) % 0.96/1.14 (define @t373 () (=> tptp.exuE3u @t372)) % 0.96/1.14 (define @t374 () (=> tptp.in__Cong @t373)) % 0.96/1.14 (define @t375 () (=> tptp.inCongP @t374)) % 0.96/1.14 (define @t376 () (=> tptp.exuI2 @t375)) % 0.96/1.14 (define @t377 () (=> tptp.exuI3 @t376)) % 0.96/1.14 (define @t378 () (=> tptp.exuI1 @t377)) % 0.96/1.14 (define @t379 () (=> tptp.notdallE @t378)) % 0.96/1.14 (define @t380 () (=> tptp.notdexE @t379)) % 0.96/1.14 (define @t381 () (=> tptp.prop2set2propI @t380)) % 0.96/1.14 (define @t382 () (=> tptp.prop2setI @t381)) % 0.96/1.14 (define @t383 () (=> tptp.quantDeMorgan4 @t382)) % 0.96/1.14 (define @t384 () (=> tptp.quantDeMorgan3 @t383)) % 0.96/1.14 (define @t385 () (=> tptp.quantDeMorgan2 @t384)) % 0.96/1.14 (define @t386 () (=> tptp.quantDeMorgan1 @t385)) % 0.96/1.14 (define @t387 () (=> tptp.vacuousDall @t386)) % 0.96/1.14 (define @t388 () (=> tptp.emptyE1 @t387)) % 0.96/1.14 (define @t389 () (=> tptp.upairsetIR @t388)) % 0.96/1.14 (define @t390 () (=> tptp.upairsetIL @t389)) % 0.96/1.14 (define @t391 () (=> tptp.upairsetE @t390)) % 0.96/1.14 (define @t392 () (=> tptp.singletonsswitch @t391)) % 0.96/1.14 (define @t393 () (=> tptp.eqinunit @t392)) % 0.96/1.14 (define @t394 () (=> tptp.notinsingleton @t393)) % 0.96/1.14 (define @t395 () (=> tptp.uniqinunit @t394)) % 0.96/1.14 (define @t396 () (=> tptp.nonemptyImpWitness @t395)) % 0.96/1.14 (define @t397 () (=> tptp.exuE2 @t396)) % 0.96/1.14 (define @t398 () (=> tptp.subPowSU @t397)) % 0.96/1.14 (define @t399 () (=> tptp.setunionE @t398)) % 0.96/1.14 (define @t400 () (=> tptp.setunionI @t399)) % 0.96/1.14 (define @t401 () (=> tptp.powersetE @t400)) % 0.96/1.14 (define @t402 () (=> tptp.emptyInPowerset @t401)) % 0.96/1.14 (define @t403 () (=> tptp.emptyinPowerset @t402)) % 0.96/1.14 (define @t404 () (=> tptp.powersetI @t403)) % 0.96/1.14 (define @t405 () (=> tptp.setoftrueEq @t404)) % 0.96/1.14 (define @t406 () (=> tptp.setadjoinOr @t405)) % 0.96/1.14 (define @t407 () (=> tptp.setadjoinE @t406)) % 0.96/1.14 (define @t408 () (=> tptp.setadjoinIR @t407)) % 0.96/1.14 (define @t409 () (=> tptp.emptyinunitempty @t408)) % 0.96/1.14 (define @t410 () (=> tptp.setadjoinIL @t409)) % 0.96/1.14 (define @t411 () (=> tptp.nonemptyI1 @t410)) % 0.96/1.14 (define @t412 () (=> tptp.nonemptyI @t411)) % 0.96/1.14 (define @t413 () (=> tptp.nonemptyE1 @t412)) % 0.96/1.14 (define @t414 () (=> tptp.setbeta @t413)) % 0.96/1.14 (define @t415 () (=> tptp.noeltsimpempty @t414)) % 0.96/1.14 (define @t416 () (=> tptp.emptyI @t415)) % 0.96/1.14 (define @t417 () (=> tptp.setext @t416)) % 0.96/1.14 (define @t418 () (=> tptp.exuE3e @t417)) % 0.96/1.14 (define @t419 () (=> tptp.notinemptyset @t418)) % 0.96/1.14 (define @t420 () (=> tptp.emptysetimpfalse @t419)) % 0.96/1.14 (define @t421 () (=> tptp.emptysetE @t420)) % 0.96/1.14 (define @t422 () (=> tptp.prop2setE @t421)) % 0.96/1.14 (define @t423 () (=> tptp.exuE1 @t422)) % 0.96/1.14 (define @t424 () (=> tptp.dsetconstrER @t423)) % 0.96/1.14 (define @t425 () (=> tptp.dsetconstrEL @t424)) % 0.96/1.14 (define @t426 () (=> tptp.dsetconstrI @t425)) % 0.96/1.14 (define @t427 () (=> tptp.descrp @t426)) % 0.96/1.14 (define @t428 () (=> tptp.wellorderingAx @t427)) % 0.96/1.14 (define @t429 () (=> tptp.foundationAx @t428)) % 0.96/1.14 (define @t430 () (=> tptp.replAx @t429)) % 0.96/1.14 (define @t431 () (=> tptp.omegaIndAx @t430)) % 0.96/1.15 (define @t432 () (=> tptp.omegaSAx @t431)) % 0.96/1.15 (define @t433 () (=> tptp.omega0Ax @t432)) % 0.96/1.15 (define @t434 () (=> tptp.setunionAx @t433)) % 0.96/1.15 (define @t435 () (=> tptp.powersetAx @t434)) % 0.96/1.15 (define @t436 () (=> tptp.setadjoinAx @t435)) % 0.96/1.15 (define @t437 () (=> tptp.emptysetAx @t436)) % 0.96/1.15 (define @t438 () (=> tptp.setextAx @t437)) % 0.96/1.15 (define @t439 () (not @t438)) % 0.96/1.15 (define @t440 () (lambda @t150 @t169)) % 0.96/1.15 (define @t441 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 0.96/1.15 (define @t442 () (_ @t363 @t19)) % 0.96/1.15 (define @t443 () (not (forall @t70 (or (not @t442) @t129)))) % 0.96/1.15 (define @t444 () (_ @t363 @t4)) % 0.96/1.15 (define @t445 () (_ @t143 @t19)) % 0.96/1.15 (define @t446 () (not @t445)) % 0.96/1.15 (define @t447 () (forall @t70 (or @t446 @t129))) % 0.96/1.15 (define @t448 () (not @t447)) % 0.96/1.15 (define @t449 () (_ @t143 @t4)) % 0.96/1.15 (define @t450 () (not @t449)) % 0.96/1.15 (define @t451 () (forall @t9 (or @t450 @t448))) % 0.96/1.15 (define @t452 () (not @t451)) % 0.96/1.15 (define @t453 () (= @t452 (not (forall @t9 (or (not @t444) @t443))))) % 0.96/1.15 (define @t454 () (= @t445 @t442)) % 0.96/1.15 (define @t455 () (forall @t70 @t454)) % 0.96/1.15 (define @t456 () (forall @t371 (or (not @t455) @t453))) % 0.96/1.15 (define @t457 () (@var "BOUND_VARIABLE_9158" $$unsorted)) % 0.96/1.15 (define @t458 () (@var "BOUND_VARIABLE_9156" $$unsorted)) % 0.96/1.15 (define @t459 () (= @t458 @t457)) % 0.96/1.15 (define @t460 () (not (_ @t143 @t457))) % 0.96/1.15 (define @t461 () (not (_ @t143 @t458))) % 0.96/1.15 (define @t462 () (@var "BOUND_VARIABLE_9147" $$unsorted)) % 0.96/1.15 (define @t463 () (not (_ @t143 @t462))) % 0.96/1.15 (define @t464 () (@list @t143 @t462 @t458 @t457)) % 0.96/1.15 (define @t465 () (=> (forall @t464 (or @t463 (not (forall @t70 (or @t446 (= @t19 @t462)))) @t461 @t460 @t459)) @t456)) % 0.96/1.15 (define @t466 () (@var "BOUND_VARIABLE_9053" $$unsorted)) % 0.96/1.15 (define @t467 () (@list @t143 @t466)) % 0.96/1.15 (define @t468 () (forall @t467 (or (not (forall @t70 (= @t445 (= @t19 @t466)))) @t452))) % 0.96/1.15 (define @t469 () (forall @t135 (or @t450 @t446 @t129))) % 0.96/1.15 (define @t470 () (not @t469)) % 0.96/1.15 (define @t471 () (@var "BOUND_VARIABLE_9037" $$unsorted)) % 0.96/1.15 (define @t472 () (not (_ @t143 @t471))) % 0.96/1.15 (define @t473 () (or @t472 @t470 @t452)) % 0.96/1.15 (define @t474 () (forall (@list @t143 @t471) @t473)) % 0.96/1.15 (define @t475 () (=> @t474 (=> @t468 @t465))) % 0.96/1.15 (define @t476 () (tptp.prop2set true)) % 0.96/1.15 (define @t477 () (tptp.set2prop @t476)) % 0.96/1.15 (define @t478 () (=> @t477 @t475)) % 0.96/1.15 (define @t479 () (tptp.in tptp.emptyset @t476)) % 0.96/1.15 (define @t480 () (=> @t479 @t478)) % 0.96/1.15 (define @t481 () (tptp.in @t4 tptp.emptyset)) % 0.96/1.15 (define @t482 () (not @t481)) % 0.96/1.15 (define @t483 () (forall @t310 (or @t482 @t449))) % 0.96/1.15 (define @t484 () (=> @t483 @t480)) % 0.96/1.15 (define @t485 () (@var "BOUND_VARIABLE_8946" $$unsorted)) % 0.96/1.15 (define @t486 () (not (_ @t143 @t485))) % 0.96/1.15 (define @t487 () (not (tptp.in @t485 @t2))) % 0.96/1.15 (define @t488 () (tptp.dsetconstr @t2 @t143)) % 0.96/1.15 (define @t489 () (not (= tptp.emptyset @t488))) % 0.96/1.15 (define @t490 () (or @t489 @t487 @t486)) % 0.96/1.15 (define @t491 () (@list @t2 @t143 @t485)) % 0.96/1.15 (define @t492 () (forall @t491 @t490)) % 0.96/1.15 (define @t493 () (=> @t492 @t484)) % 0.96/1.15 (define @t494 () (tptp.setadjoin @t19 tptp.emptyset)) % 0.96/1.15 (define @t495 () (tptp.setadjoin @t4 @t494)) % 0.96/1.15 (define @t496 () (tptp.in @t19 @t495)) % 0.96/1.15 (define @t497 () (forall @t135 @t496)) % 0.96/1.15 (define @t498 () (=> @t497 @t493)) % 0.96/1.15 (define @t499 () (tptp.in @t4 @t495)) % 0.96/1.15 (define @t500 () (forall @t135 @t499)) % 0.96/1.15 (define @t501 () (=> @t500 @t498)) % 0.96/1.15 (define @t502 () (= @t19 @t287)) % 0.96/1.15 (define @t503 () (= @t4 @t287)) % 0.96/1.15 (define @t504 () (tptp.in @t287 @t495)) % 0.96/1.15 (define @t505 () (forall @t293 (or (not @t504) @t503 @t502))) % 0.96/1.15 (define @t506 () (=> @t505 @t501)) % 0.96/1.15 (define @t507 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.96/1.15 (define @t508 () (tptp.in @t19 @t507)) % 0.96/1.15 (define @t509 () (tptp.in @t4 @t494)) % 0.96/1.15 (define @t510 () (not @t509)) % 0.96/1.15 (define @t511 () (forall @t135 (or @t510 @t508))) % 0.96/1.15 (define @t512 () (=> @t511 @t506)) % 0.96/1.15 (define @t513 () (tptp.in @t19 @t494)) % 0.96/1.15 (define @t514 () (forall @t70 @t513)) % 0.96/1.15 (define @t515 () (=> @t514 @t512)) % 0.96/1.15 (define @t516 () (forall @t135 (or @t129 (not @t508)))) % 0.96/1.15 (define @t517 () (=> @t516 @t515)) % 0.96/1.15 (define @t518 () (forall @t135 (or @t510 @t129))) % 0.96/1.15 (define @t519 () (=> @t518 @t517)) % 0.96/1.15 (define @t520 () (tptp.in @t4 @t2)) % 0.96/1.15 (define @t521 () (not @t520)) % 0.96/1.15 (define @t522 () (forall @t9 @t521)) % 0.96/1.15 (define @t523 () (not @t522)) % 0.96/1.15 (define @t524 () (forall @t64 (or @t195 @t523))) % 0.96/1.15 (define @t525 () (=> @t524 @t519)) % 0.96/1.15 (define @t526 () (@var "BOUND_VARIABLE_8830" $$unsorted)) % 0.96/1.15 (define @t527 () (not (_ @t143 @t526))) % 0.96/1.15 (define @t528 () (forall @t70 (= @t129 @t445))) % 0.96/1.15 (define @t529 () (forall @t9 (not @t528))) % 0.96/1.15 (define @t530 () (not @t529)) % 0.96/1.15 (define @t531 () (@list @t143 @t526)) % 0.96/1.15 (define @t532 () (forall @t531 (or @t530 @t527 (not (forall @t70 (or @t446 (= @t19 @t526))))))) % 0.96/1.15 (define @t533 () (=> @t532 @t525)) % 0.96/1.15 (define @t534 () (tptp.setunion @t2)) % 0.96/1.15 (define @t535 () (tptp.powerset @t534)) % 0.96/1.15 (define @t536 () (tptp.in @t4 @t535)) % 0.96/1.15 (define @t537 () (forall @t46 (or @t521 @t536))) % 0.96/1.15 (define @t538 () (=> @t537 @t533)) % 0.96/1.15 (define @t539 () (tptp.in @t1 @t2)) % 0.96/1.15 (define @t540 () (not @t539)) % 0.96/1.15 (define @t541 () (tptp.in @t4 @t1)) % 0.96/1.15 (define @t542 () (not @t541)) % 0.96/1.15 (define @t543 () (forall @t41 (or @t542 @t540))) % 0.96/1.15 (define @t544 () (not @t543)) % 0.96/1.15 (define @t545 () (tptp.in @t4 @t534)) % 0.96/1.15 (define @t546 () (forall @t46 (or (not @t545) @t544))) % 0.96/1.15 (define @t547 () (=> @t546 @t538)) % 0.96/1.15 (define @t548 () (forall @t248 (or @t542 @t540 @t545))) % 0.96/1.15 (define @t549 () (=> @t548 @t547)) % 0.96/1.15 (define @t550 () (tptp.powerset @t2)) % 0.96/1.15 (define @t551 () (tptp.in @t1 @t550)) % 0.96/1.15 (define @t552 () (forall @t244 (or (not @t551) @t542 @t520))) % 0.96/1.15 (define @t553 () (=> @t552 @t549)) % 0.96/1.15 (define @t554 () (tptp.in tptp.emptyset @t550)) % 0.96/1.15 (define @t555 () (forall @t64 @t554)) % 0.96/1.15 (define @t556 () (=> @t555 @t553)) % 0.96/1.15 (define @t557 () (=> @t555 @t556)) % 0.96/1.15 (define @t558 () (forall @t9 (or @t542 @t520))) % 0.96/1.15 (define @t559 () (not @t558)) % 0.96/1.15 (define @t560 () (forall @t12 (or @t559 @t551))) % 0.96/1.15 (define @t561 () (=> @t560 @t557)) % 0.96/1.15 (define @t562 () (@var "BOUND_VARIABLE_44125" $$unsorted)) % 0.96/1.15 (define @t563 () (lambda (@list @t562) true)) % 0.96/1.15 (define @t564 () (tptp.dsetconstr @t2 @t563)) % 0.96/1.15 (define @t565 () (forall @t64 (= @t2 @t564))) % 0.96/1.15 (define @t566 () (=> @t565 @t561)) % 0.96/1.15 (define @t567 () (tptp.in @t19 @t2)) % 0.96/1.15 (define @t568 () (tptp.setadjoin @t4 @t2)) % 0.96/1.15 (define @t569 () (tptp.in @t19 @t568)) % 0.96/1.15 (define @t570 () (forall @t28 (or (not @t569) @t129 @t567))) % 0.96/1.15 (define @t571 () (=> @t570 @t566)) % 0.96/1.15 (define @t572 () (=> @t570 @t571)) % 0.96/1.15 (define @t573 () (not @t567)) % 0.96/1.15 (define @t574 () (forall @t28 (or @t573 @t569))) % 0.96/1.15 (define @t575 () (=> @t574 @t572)) % 0.96/1.15 (define @t576 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 0.96/1.15 (define @t577 () (tptp.in tptp.emptyset @t576)) % 0.96/1.15 (define @t578 () (=> @t220 @t575)) % 0.96/1.15 (define @t579 () (tptp.setadjoin @t4 @t19)) % 0.96/1.15 (define @t580 () (tptp.in @t4 @t579)) % 0.96/1.15 (define @t581 () (forall @t135 @t580)) % 0.96/1.15 (define @t582 () (=> @t581 @t578)) % 0.96/1.15 (define @t583 () (@var "BOUND_VARIABLE_8670" $$unsorted)) % 0.96/1.15 (define @t584 () (not (tptp.in @t583 tptp.emptyset))) % 0.96/1.15 (define @t585 () (@list @t583)) % 0.96/1.15 (define @t586 () (forall @t585 @t584)) % 0.96/1.15 (define @t587 () (=> @t586 @t582)) % 0.96/1.15 (define @t588 () (forall @t159 (or @t521 @t450 @t489))) % 0.96/1.15 (define @t589 () (=> @t588 @t587)) % 0.96/1.15 (define @t590 () (=> @t524 @t589)) % 0.96/1.15 (define @t591 () (tptp.in @t4 @t488)) % 0.96/1.15 (define @t592 () (forall @t159 (or @t521 (= @t449 @t591)))) % 0.96/1.15 (define @t593 () (=> @t592 @t590)) % 0.96/1.15 (define @t594 () (forall @t64 (or @t523 @t195))) % 0.96/1.15 (define @t595 () (=> @t594 @t593)) % 0.96/1.15 (define @t596 () (=> @t594 @t595)) % 0.96/1.15 (define @t597 () (forall @t9 (or @t521 @t541))) % 0.96/1.15 (define @t598 () (not @t597)) % 0.96/1.15 (define @t599 () (or @t598 @t559 @t3)) % 0.96/1.15 (define @t600 () (forall @t12 @t599)) % 0.96/1.15 (define @t601 () (=> @t600 @t596)) % 0.96/1.15 (define @t602 () (@var "BOUND_VARIABLE_8567" $$unsorted)) % 0.96/1.15 (define @t603 () (not (_ @t143 @t602))) % 0.96/1.15 (define @t604 () (forall @t9 @t450)) % 0.96/1.15 (define @t605 () (not @t604)) % 0.96/1.15 (define @t606 () (@list @t143 @t602)) % 0.96/1.15 (define @t607 () (forall @t606 (or @t605 @t603 (not (forall @t70 (or @t446 (= @t19 @t602))))))) % 0.96/1.15 (define @t608 () (=> @t607 @t601)) % 0.96/1.15 (define @t609 () (forall @t9 @t482)) % 0.96/1.15 (define @t610 () (=> @t609 @t608)) % 0.96/1.15 (define @t611 () (=> @t609 @t610)) % 0.96/1.15 (define @t612 () (=> @t609 @t611)) % 0.96/1.15 (define @t613 () (not (tptp.in @t4 (tptp.prop2set false)))) % 0.96/1.15 (define @t614 () (forall @t9 @t613)) % 0.96/1.15 (define @t615 () (=> @t614 @t612)) % 0.96/1.15 (define @t616 () (not @t591)) % 0.96/1.15 (define @t617 () (forall @t159 (or @t616 @t449))) % 0.96/1.15 (define @t618 () (=> @t617 @t615)) % 0.96/1.15 (define @t619 () (forall @t159 (or @t616 @t520))) % 0.96/1.15 (define @t620 () (=> @t619 @t618)) % 0.96/1.15 (define @t621 () (forall @t159 (or @t521 @t450 @t591))) % 0.96/1.15 (define @t622 () (=> @t621 @t620)) % 0.96/1.15 (define @t623 () (@var "BOUND_VARIABLE_8466" $$unsorted)) % 0.96/1.15 (define @t624 () (not (_ @t143 @t623))) % 0.96/1.15 (define @t625 () (_ @t143 (tptp.descr @t143))) % 0.96/1.15 (define @t626 () (@list @t143 @t623)) % 0.96/1.15 (define @t627 () (forall @t626 (or @t625 @t624 (not (forall @t70 (or @t446 (= @t19 @t623))))))) % 0.96/1.15 (define @t628 () (=> @t627 @t622)) % 0.96/1.15 (define @t629 () (@var "BOUND_VARIABLE_8386" $$unsorted)) % 0.96/1.15 (define @t630 () (tptp.in @t629 @t95)) % 0.96/1.15 (define @t631 () (not (tptp.in @t629 @t93))) % 0.96/1.15 (define @t632 () (tptp.in @t4 @t93)) % 0.96/1.15 (define @t633 () (tptp.in @t93 @t1)) % 0.96/1.15 (define @t634 () (not @t633)) % 0.96/1.15 (define @t635 () (or @t634 @t632 @t631 @t630)) % 0.96/1.15 (define @t636 () (@list @t93 @t629)) % 0.96/1.15 (define @t637 () (forall @t636 @t635)) % 0.96/1.15 (define @t638 () (not @t637)) % 0.96/1.15 (define @t639 () (tptp.in @t19 @t104)) % 0.96/1.15 (define @t640 () (tptp.in @t19 @t95)) % 0.96/1.15 (define @t641 () (forall @t70 (or (not @t640) (not @t639)))) % 0.96/1.15 (define @t642 () (not @t641)) % 0.96/1.15 (define @t643 () (tptp.in @t4 @t104)) % 0.96/1.15 (define @t644 () (not @t643)) % 0.96/1.15 (define @t645 () (tptp.in @t95 @t1)) % 0.96/1.15 (define @t646 () (not @t645)) % 0.96/1.15 (define @t647 () (not (forall @t112 (or @t646 @t644 @t642 @t638)))) % 0.96/1.15 (define @t648 () (@var "BOUND_VARIABLE_8415" $$unsorted)) % 0.96/1.15 (define @t649 () (not (tptp.in @t648 @t104))) % 0.96/1.15 (define @t650 () (forall @t9 (or @t644 @t520))) % 0.96/1.15 (define @t651 () (not @t650)) % 0.96/1.15 (define @t652 () (or @t651 @t649 @t647)) % 0.96/1.15 (define @t653 () (forall (@list @t104 @t648) @t652)) % 0.96/1.15 (define @t654 () (not @t653)) % 0.96/1.15 (define @t655 () (@var "BOUND_VARIABLE_8338" $$unsorted)) % 0.96/1.15 (define @t656 () (tptp.in @t655 @t104)) % 0.96/1.15 (define @t657 () (not (tptp.in @t655 @t95))) % 0.96/1.15 (define @t658 () (@var "BOUND_VARIABLE_8332" $$unsorted)) % 0.96/1.15 (define @t659 () (tptp.in @t658 @t95)) % 0.96/1.15 (define @t660 () (not (tptp.in @t658 @t104))) % 0.96/1.15 (define @t661 () (tptp.in @t104 @t1)) % 0.96/1.15 (define @t662 () (not @t661)) % 0.96/1.15 (define @t663 () (or @t662 @t646 @t660 @t659 @t657 @t656)) % 0.96/1.15 (define @t664 () (@list @t104 @t95 @t658 @t655)) % 0.96/1.15 (define @t665 () (forall @t664 @t663)) % 0.96/1.15 (define @t666 () (not @t665)) % 0.96/1.15 (define @t667 () (forall @t118 (or @t662 (= @t643 @t639)))) % 0.96/1.15 (define @t668 () (not @t667)) % 0.96/1.15 (define @t669 () (forall @t135 (or @t521 @t573 @t668 @t129))) % 0.96/1.15 (define @t670 () (not @t669)) % 0.96/1.15 (define @t671 () (@var "BOUND_VARIABLE_8281" $$unsorted)) % 0.96/1.15 (define @t672 () (tptp.in @t671 @t2)) % 0.96/1.15 (define @t673 () (not (tptp.in @t671 @t104))) % 0.96/1.15 (define @t674 () (or @t662 @t673 @t672)) % 0.96/1.15 (define @t675 () (@list @t104 @t671)) % 0.96/1.15 (define @t676 () (forall @t675 @t674)) % 0.96/1.15 (define @t677 () (not @t676)) % 0.96/1.15 (define @t678 () (or @t677 @t670 @t666 @t654)) % 0.96/1.15 (define @t679 () (forall @t64 (not (forall @t41 @t678)))) % 0.96/1.15 (define @t680 () (=> @t679 @t628)) % 0.96/1.15 (define @t681 () (forall @t9 (or @t542 @t521))) % 0.96/1.15 (define @t682 () (not @t681)) % 0.96/1.15 (define @t683 () (not (forall @t41 (or @t540 @t682)))) % 0.96/1.15 (define @t684 () (@var "BOUND_VARIABLE_8256" $$unsorted)) % 0.96/1.15 (define @t685 () (not (tptp.in @t684 @t2))) % 0.96/1.15 (define @t686 () (or @t685 @t683)) % 0.96/1.15 (define @t687 () (forall (@list @t2 @t684) @t686)) % 0.96/1.15 (define @t688 () (=> @t687 @t680)) % 0.96/1.15 (define @t689 () (_ @t67 @t19 @t4)) % 0.96/1.15 (define @t690 () (not (forall @t70 (or @t573 (not @t689))))) % 0.96/1.15 (define @t691 () (forall @t9 (= @t541 @t690))) % 0.96/1.15 (define @t692 () (not (forall @t41 (not @t691)))) % 0.96/1.15 (define @t693 () (@var "BOUND_VARIABLE_8146" $$unsorted)) % 0.96/1.15 (define @t694 () (= @t19 @t693)) % 0.96/1.15 (define @t695 () (_ @t67 @t4 @t19)) % 0.96/1.15 (define @t696 () (not (forall @t70 (or (not @t695) @t694)))) % 0.96/1.15 (define @t697 () (_ @t67 @t4 @t693)) % 0.96/1.15 (define @t698 () (@list @t693)) % 0.96/1.15 (define @t699 () (not (forall @t698 (or (not @t697) @t696)))) % 0.96/1.15 (define @t700 () (forall @t9 (or @t521 @t699))) % 0.96/1.15 (define @t701 () (forall @t81 (or (not @t700) @t692))) % 0.96/1.15 (define @t702 () (=> @t701 @t688)) % 0.96/1.15 (define @t703 () (@var "BOUND_VARIABLE_8127" $$unsorted)) % 0.96/1.15 (define @t704 () (tptp.in @t703 @t2)) % 0.96/1.15 (define @t705 () (not (tptp.in @t703 tptp.omega))) % 0.96/1.15 (define @t706 () (tptp.setadjoin @t4 @t4)) % 0.96/1.15 (define @t707 () (tptp.in @t706 @t2)) % 0.96/1.15 (define @t708 () (tptp.in @t4 tptp.omega)) % 0.96/1.15 (define @t709 () (not @t708)) % 0.96/1.15 (define @t710 () (forall @t9 (or @t709 @t521 @t707))) % 0.96/1.15 (define @t711 () (not @t710)) % 0.96/1.15 (define @t712 () (tptp.in tptp.emptyset @t2)) % 0.96/1.15 (define @t713 () (not @t712)) % 0.96/1.15 (define @t714 () (or @t713 @t711 @t705 @t704)) % 0.96/1.15 (define @t715 () (@list @t2 @t703)) % 0.96/1.15 (define @t716 () (forall @t715 @t714)) % 0.96/1.15 (define @t717 () (=> @t716 @t702)) % 0.96/1.15 (define @t718 () (tptp.in @t706 tptp.omega)) % 0.96/1.15 (define @t719 () (forall @t9 (or @t709 @t718))) % 0.96/1.15 (define @t720 () (=> @t719 @t717)) % 0.96/1.15 (define @t721 () (tptp.in tptp.emptyset tptp.omega)) % 0.96/1.15 (define @t722 () (=> @t50 @t720)) % 0.96/1.15 (define @t723 () (forall @t46 (= @t544 @t545))) % 0.96/1.15 (define @t724 () (=> @t723 @t722)) % 0.96/1.15 (define @t725 () (forall @t12 (= @t558 @t551))) % 0.96/1.15 (define @t726 () (=> @t725 @t724)) % 0.96/1.15 (define @t727 () (or @t129 @t567)) % 0.96/1.15 (define @t728 () (forall @t28 (= @t569 @t727))) % 0.96/1.15 (define @t729 () (=> @t728 @t726)) % 0.96/1.15 (define @t730 () (=> @t609 @t729)) % 0.96/1.15 (define @t731 () (forall @t9 (= @t520 @t541))) % 0.96/1.15 (define @t732 () (forall @t12 (or (not @t731) @t3))) % 0.96/1.15 (define @t733 () (=> @t732 @t730)) % 0.96/1.15 (define @t734 () (=> true (=> true @t465))) % 0.96/1.15 (define @t735 () (=> @t468 @t734)) % 0.96/1.15 (define @t736 () (=> @t474 @t735)) % 0.96/1.15 (define @t737 () (=> true (=> true @t736))) % 0.96/1.15 (define @t738 () (=> true @t737)) % 0.96/1.15 (define @t739 () (=> @t477 @t738)) % 0.96/1.15 (define @t740 () (=> @t479 @t739)) % 0.96/1.15 (define @t741 () (=> true (=> true @t740))) % 0.96/1.15 (define @t742 () (=> true @t741)) % 0.96/1.15 (define @t743 () (=> true @t742)) % 0.96/1.15 (define @t744 () (=> @t483 @t743)) % 0.96/1.15 (define @t745 () (=> @t492 @t744)) % 0.96/1.15 (define @t746 () (=> @t497 @t745)) % 0.96/1.15 (define @t747 () (=> @t500 @t746)) % 0.96/1.15 (define @t748 () (=> @t505 @t747)) % 0.96/1.15 (define @t749 () (=> @t511 @t748)) % 0.96/1.15 (define @t750 () (=> @t514 @t749)) % 0.96/1.15 (define @t751 () (=> @t516 @t750)) % 0.96/1.15 (define @t752 () (=> @t518 @t751)) % 0.96/1.15 (define @t753 () (=> @t524 @t752)) % 0.96/1.15 (define @t754 () (=> @t532 @t753)) % 0.96/1.15 (define @t755 () (=> @t537 @t754)) % 0.96/1.15 (define @t756 () (=> @t546 @t755)) % 0.96/1.15 (define @t757 () (=> @t548 @t756)) % 0.96/1.15 (define @t758 () (=> @t552 @t757)) % 0.96/1.15 (define @t759 () (=> @t555 @t758)) % 0.96/1.15 (define @t760 () (=> @t555 @t759)) % 0.96/1.15 (define @t761 () (=> @t560 @t760)) % 0.96/1.15 (define @t762 () (=> @t565 @t761)) % 0.96/1.15 (define @t763 () (=> @t570 @t762)) % 0.96/1.15 (define @t764 () (=> @t570 @t763)) % 0.96/1.15 (define @t765 () (=> @t574 @t764)) % 0.96/1.15 (define @t766 () (=> @t220 @t765)) % 0.96/1.15 (define @t767 () (=> @t581 @t766)) % 0.96/1.15 (define @t768 () (=> @t586 @t767)) % 0.96/1.15 (define @t769 () (=> @t588 @t768)) % 0.96/1.15 (define @t770 () (=> @t524 @t769)) % 0.96/1.15 (define @t771 () (=> @t592 @t770)) % 0.96/1.15 (define @t772 () (=> @t594 @t771)) % 0.96/1.15 (define @t773 () (=> @t594 @t772)) % 0.96/1.15 (define @t774 () (=> @t600 @t773)) % 0.96/1.15 (define @t775 () (=> @t607 @t774)) % 0.96/1.15 (define @t776 () (=> @t609 @t775)) % 0.96/1.15 (define @t777 () (=> @t609 @t776)) % 0.96/1.15 (define @t778 () (=> @t609 @t777)) % 0.96/1.15 (define @t779 () (=> @t614 @t778)) % 0.96/1.15 (define @t780 () (=> @t617 (=> true @t779))) % 0.96/1.15 (define @t781 () (=> @t619 @t780)) % 0.96/1.15 (define @t782 () (=> @t621 @t781)) % 0.96/1.15 (define @t783 () (=> @t627 @t782)) % 0.96/1.15 (define @t784 () (=> @t679 @t783)) % 0.96/1.15 (define @t785 () (=> @t687 @t784)) % 0.96/1.15 (define @t786 () (=> @t701 @t785)) % 0.96/1.15 (define @t787 () (=> @t716 @t786)) % 0.96/1.15 (define @t788 () (=> @t719 @t787)) % 0.96/1.15 (define @t789 () (=> @t50 @t788)) % 0.96/1.15 (define @t790 () (=> @t723 @t789)) % 0.96/1.15 (define @t791 () (=> @t725 @t790)) % 0.96/1.15 (define @t792 () (=> @t728 @t791)) % 0.96/1.15 (define @t793 () (=> @t609 @t792)) % 0.96/1.15 (define @t794 () (=> @t732 @t793)) % 0.96/1.15 (define @t795 () (or @t446 (= @t462 @t19))) % 0.96/1.15 (define @t796 () (forall @t70 @t795)) % 0.96/1.15 (define @t797 () (not @t796)) % 0.96/1.15 (define @t798 () (or @t463 @t797 @t461 @t460 @t459)) % 0.96/1.15 (define @t799 () (or @t461 @t460 @t459)) % 0.96/1.15 (define @t800 () (or @t463 @t797)) % 0.96/1.15 (define @t801 () (or @t800 @t799)) % 0.96/1.15 (define @t802 () (forall @t464 @t801)) % 0.96/1.15 (define @t803 () (forall (@list @t462 @t458 @t457) @t801)) % 0.96/1.15 (define @t804 () (forall (@list @t458 @t457) @t799)) % 0.96/1.15 (define @t805 () (forall (@list @t462) @t800)) % 0.96/1.15 (define @t806 () (@list @t4)) % 0.96/1.15 (define @t807 () (or @t805 @t804)) % 0.96/1.15 (define @t808 () (not @t452)) % 0.96/1.15 (define @t809 () (not @t153)) % 0.96/1.15 (define @t810 () (or @t313 @t809 @t129)) % 0.96/1.15 (define @t811 () (or @t809 @t129)) % 0.96/1.15 (define @t812 () (or @t313 @t448)) % 0.96/1.15 (define @t813 () (_ @t145 @t19)) % 0.96/1.15 (define @t814 () (not @t813)) % 0.96/1.15 (define @t815 () (or @t814 @t129)) % 0.96/1.15 (define @t816 () (forall @t70 @t815)) % 0.96/1.15 (define @t817 () (not @t816)) % 0.96/1.15 (define @t818 () (_ @t145 @t4)) % 0.96/1.15 (define @t819 () (not @t818)) % 0.96/1.15 (define @t820 () (or @t819 @t817)) % 0.96/1.15 (define @t821 () (forall @t9 @t820)) % 0.96/1.15 (define @t822 () (not @t821)) % 0.96/1.15 (define @t823 () (lambda @t150 @t452)) % 0.96/1.15 (define @t824 () (_ @t823 @t145)) % 0.96/1.15 (define @t825 () (=> @t824 @t341)) % 0.96/1.15 (define @t826 () (forall @t150 @t825)) % 0.96/1.15 (define @t827 () (and @t144 @t447)) % 0.96/1.15 (define @t828 () (forall @t9 (not @t827))) % 0.96/1.15 (define @t829 () (not @t828)) % 0.96/1.15 (define @t830 () (=> tptp.exuE3u @t456)) % 0.96/1.15 (define @t831 () (@var "BOUND_VARIABLE_9124" $$unsorted)) % 0.96/1.15 (define @t832 () (@list @t1 @t831)) % 0.96/1.15 (define @t833 () (tptp.in @t831 @t1)) % 0.96/1.15 (define @t834 () (not true)) % 0.96/1.15 (define @t835 () (not (= @t1 @t1))) % 0.96/1.15 (define @t836 () (or @t835 (= @t833 @t833))) % 0.96/1.15 (define @t837 () (= (tptp.in @t831 @t2) @t833)) % 0.96/1.15 (define @t838 () (not @t3)) % 0.96/1.15 (define @t839 () (or @t838 @t838 @t837)) % 0.96/1.15 (define @t840 () (or @t838 @t837)) % 0.96/1.15 (define @t841 () (forall @t64 @t840)) % 0.96/1.15 (define @t842 () (forall @t832 @t841)) % 0.96/1.15 (define @t843 () (forall (@list @t1 @t831 @t2) @t840)) % 0.96/1.15 (define @t844 () (forall (@list @t2 @t1 @t831) @t840)) % 0.96/1.15 (define @t845 () (@list @t831)) % 0.96/1.15 (define @t846 () (forall @t845 @t840)) % 0.96/1.15 (define @t847 () (forall @t845 @t837)) % 0.96/1.15 (define @t848 () (@list @t19)) % 0.96/1.15 (define @t849 () (or @t838 @t847)) % 0.96/1.15 (define @t850 () (tptp.in @t19 @t1)) % 0.96/1.15 (define @t851 () (= @t567 @t850)) % 0.96/1.15 (define @t852 () (forall @t70 @t851)) % 0.96/1.15 (define @t853 () (not (= @t19 @t19))) % 0.96/1.15 (define @t854 () (or @t853 @t851)) % 0.96/1.15 (define @t855 () (= @t520 @t850)) % 0.96/1.15 (define @t856 () (or @t280 @t280 @t855)) % 0.96/1.15 (define @t857 () (or @t280 @t855)) % 0.96/1.15 (define @t858 () (forall @t9 @t857)) % 0.96/1.15 (define @t859 () (forall @t70 @t858)) % 0.96/1.15 (define @t860 () (@list @t19 @t4)) % 0.96/1.15 (define @t861 () (forall @t860 @t857)) % 0.96/1.15 (define @t862 () (or @t280 @t355)) % 0.96/1.15 (define @t863 () (=> tptp.in__Cong @t830)) % 0.96/1.15 (define @t864 () (@var "BOUND_VARIABLE_9087" $$unsorted)) % 0.96/1.15 (define @t865 () (@list @t1 @t864)) % 0.96/1.15 (define @t866 () (tptp.in @t864 @t1)) % 0.96/1.15 (define @t867 () (not @t866)) % 0.96/1.15 (define @t868 () (or @t867 @t866)) % 0.96/1.15 (define @t869 () (or @t835 @t867 @t866)) % 0.96/1.15 (define @t870 () (not (tptp.in @t864 @t2))) % 0.96/1.15 (define @t871 () (or @t838 @t838 @t870 @t866)) % 0.96/1.15 (define @t872 () (or @t838 @t870 @t866)) % 0.96/1.15 (define @t873 () (forall @t64 @t872)) % 0.96/1.15 (define @t874 () (forall @t865 @t873)) % 0.96/1.15 (define @t875 () (forall (@list @t1 @t864 @t2) @t872)) % 0.96/1.15 (define @t876 () (@list @t2 @t1 @t864)) % 0.96/1.15 (define @t877 () (or @t870 @t866)) % 0.96/1.15 (define @t878 () (or @t838 @t877)) % 0.96/1.15 (define @t879 () (forall @t876 @t878)) % 0.96/1.15 (define @t880 () (@list @t864)) % 0.96/1.15 (define @t881 () (forall @t880 @t878)) % 0.96/1.15 (define @t882 () (forall @t880 @t877)) % 0.96/1.15 (define @t883 () (or @t838 @t882)) % 0.96/1.15 (define @t884 () (or @t573 @t850)) % 0.96/1.15 (define @t885 () (forall @t70 @t884)) % 0.96/1.15 (define @t886 () (or @t853 @t573 @t850)) % 0.96/1.15 (define @t887 () (or @t280 @t280 @t521 @t850)) % 0.96/1.15 (define @t888 () (or @t280 @t521 @t850)) % 0.96/1.15 (define @t889 () (forall @t9 @t888)) % 0.96/1.15 (define @t890 () (forall @t70 @t889)) % 0.96/1.15 (define @t891 () (forall @t860 @t888)) % 0.96/1.15 (define @t892 () (or @t280 @t196 @t349)) % 0.96/1.15 (define @t893 () (=> tptp.inCongP @t863)) % 0.96/1.15 (define @t894 () (= @t466 @t19)) % 0.96/1.15 (define @t895 () (forall @t70 (= @t894 @t445))) % 0.96/1.15 (define @t896 () (not @t895)) % 0.96/1.15 (define @t897 () (or @t896 @t452)) % 0.96/1.15 (define @t898 () (forall @t467 @t897)) % 0.96/1.15 (define @t899 () (@list @t466)) % 0.96/1.15 (define @t900 () (forall @t899 @t897)) % 0.96/1.15 (define @t901 () (forall @t899 @t896)) % 0.96/1.15 (define @t902 () (or @t901 @t452)) % 0.96/1.15 (define @t903 () (= @t153 @t129)) % 0.96/1.15 (define @t904 () (=> @t264 @t824)) % 0.96/1.15 (define @t905 () (forall @t150 @t904)) % 0.96/1.15 (define @t906 () (=> tptp.exuI2 @t893)) % 0.96/1.15 (define @t907 () (@list @t471)) % 0.96/1.15 (define @t908 () (forall @t907 @t473)) % 0.96/1.15 (define @t909 () (forall @t907 @t472)) % 0.96/1.15 (define @t910 () (or @t909 @t470 @t452)) % 0.96/1.15 (define @t911 () (or @t604 @t470 @t452)) % 0.96/1.15 (define @t912 () (=> @t469 @t452)) % 0.96/1.15 (define @t913 () (=> @t341 @t824)) % 0.96/1.15 (define @t914 () (forall @t9 @t313)) % 0.96/1.15 (define @t915 () (not @t914)) % 0.96/1.15 (define @t916 () (=> @t186 @t913)) % 0.96/1.15 (define @t917 () (forall @t150 @t916)) % 0.96/1.15 (define @t918 () (=> tptp.exuI3 @t906)) % 0.96/1.15 (define @t919 () (=> @t169 @t824)) % 0.96/1.15 (define @t920 () (forall @t150 @t919)) % 0.96/1.15 (define @t921 () (=> tptp.exuI1 @t918)) % 0.96/1.15 (define @t922 () (forall @t9 (or @t521 @t449))) % 0.96/1.15 (define @t923 () (not @t922)) % 0.96/1.15 (define @t924 () (or @t196 @t144)) % 0.96/1.15 (define @t925 () (forall @t9 (not @t314))) % 0.96/1.15 (define @t926 () (not @t925)) % 0.96/1.15 (define @t927 () (=> tptp.notdallE @t921)) % 0.96/1.15 (define @t928 () (forall @t9 (or @t521 @t450))) % 0.96/1.15 (define @t929 () (or @t196 @t313)) % 0.96/1.15 (define @t930 () (forall @t9 (not @t304))) % 0.96/1.15 (define @t931 () (not @t930)) % 0.96/1.15 (define @t932 () (=> tptp.notdexE @t927)) % 0.96/1.15 (define @t933 () (or @t834 @t477)) % 0.96/1.15 (define @t934 () (tptp.prop2set @t173)) % 0.96/1.15 (define @t935 () (tptp.set2prop @t934)) % 0.96/1.15 (define @t936 () (not @t173)) % 0.96/1.15 (define @t937 () (not (= @t173 true))) % 0.96/1.15 (define @t938 () (or @t936 @t936 @t935)) % 0.96/1.15 (define @t939 () (or @t936 @t935)) % 0.96/1.15 (define @t940 () (or @t936 @t335)) % 0.96/1.15 (define @t941 () (=> tptp.prop2set2propI @t932)) % 0.96/1.15 (define @t942 () (or @t834 @t479)) % 0.96/1.15 (define @t943 () (tptp.in tptp.emptyset @t934)) % 0.96/1.15 (define @t944 () (or @t936 @t936 @t943)) % 0.96/1.15 (define @t945 () (or @t936 @t943)) % 0.96/1.15 (define @t946 () (or @t936 @t332)) % 0.96/1.15 (define @t947 () (=> tptp.prop2setI @t941)) % 0.96/1.15 (define @t948 () (=> tptp.quantDeMorgan4 @t947)) % 0.96/1.15 (define @t949 () (=> tptp.quantDeMorgan3 @t948)) % 0.96/1.15 (define @t950 () (=> tptp.quantDeMorgan2 @t949)) % 0.96/1.15 (define @t951 () (=> tptp.quantDeMorgan1 @t950)) % 0.96/1.15 (define @t952 () (or @t16 @t144)) % 0.96/1.15 (define @t953 () (=> tptp.vacuousDall @t951)) % 0.96/1.15 (define @t954 () (or @t487 @t486)) % 0.96/1.15 (define @t955 () (or @t954 @t489)) % 0.96/1.15 (define @t956 () (forall @t491 @t955)) % 0.96/1.15 (define @t957 () (@list @t485)) % 0.96/1.15 (define @t958 () (forall @t957 @t955)) % 0.96/1.15 (define @t959 () (forall @t957 @t954)) % 0.96/1.15 (define @t960 () (or @t959 @t489)) % 0.96/1.15 (define @t961 () (lambda @t9 @t449)) % 0.96/1.15 (define @t962 () (tptp.dsetconstr @t2 @t961)) % 0.96/1.15 (define @t963 () (= tptp.emptyset @t962)) % 0.96/1.15 (define @t964 () (not @t963)) % 0.96/1.15 (define @t965 () (or @t928 @t964)) % 0.96/1.15 (define @t966 () (= tptp.emptyset @t302)) % 0.96/1.15 (define @t967 () (not @t966)) % 0.96/1.15 (define @t968 () (or @t928 @t967)) % 0.96/1.15 (define @t969 () (not @t928)) % 0.96/1.15 (define @t970 () (=> tptp.emptyE1 @t953)) % 0.96/1.15 (define @t971 () (=> tptp.upairsetIR @t970)) % 0.96/1.15 (define @t972 () (=> tptp.upairsetIL @t971)) % 0.96/1.15 (define @t973 () (not @t291)) % 0.96/1.15 (define @t974 () (or @t973 @t503 @t502)) % 0.96/1.15 (define @t975 () (or @t503 @t502)) % 0.96/1.15 (define @t976 () (=> tptp.upairsetE @t972)) % 0.96/1.15 (define @t977 () (not @t274)) % 0.96/1.15 (define @t978 () (or @t977 @t278)) % 0.96/1.15 (define @t979 () (=> tptp.singletonsswitch @t976)) % 0.96/1.15 (define @t980 () (or @t853 @t513)) % 0.96/1.15 (define @t981 () (or @t280 @t280 @t509)) % 0.96/1.15 (define @t982 () (or @t280 @t509)) % 0.96/1.15 (define @t983 () (forall @t9 @t982)) % 0.96/1.15 (define @t984 () (forall @t70 @t983)) % 0.96/1.15 (define @t985 () (forall @t860 @t982)) % 0.96/1.15 (define @t986 () (or @t280 @t274)) % 0.96/1.15 (define @t987 () (=> tptp.eqinunit @t979)) % 0.96/1.15 (define @t988 () (or @t129 @t279)) % 0.96/1.15 (define @t989 () (=> tptp.notinsingleton @t987)) % 0.96/1.15 (define @t990 () (or @t977 @t129)) % 0.96/1.15 (define @t991 () (=> tptp.uniqinunit @t989)) % 0.96/1.15 (define @t992 () (not @t195)) % 0.96/1.15 (define @t993 () (not @t197)) % 0.96/1.15 (define @t994 () (_ @t441 @t2)) % 0.96/1.15 (define @t995 () (=> @t994 @t269)) % 0.96/1.15 (define @t996 () (forall @t64 @t995)) % 0.96/1.15 (define @t997 () (=> tptp.nonemptyImpWitness @t991)) % 0.96/1.15 (define @t998 () (or @t446 (= @t526 @t19))) % 0.96/1.15 (define @t999 () (forall @t70 @t998)) % 0.96/1.15 (define @t1000 () (not @t999)) % 0.96/1.15 (define @t1001 () (or @t530 @t527 @t1000)) % 0.96/1.15 (define @t1002 () (or @t527 @t1000)) % 0.96/1.15 (define @t1003 () (or @t1002 @t530)) % 0.96/1.15 (define @t1004 () (forall @t531 @t1003)) % 0.96/1.15 (define @t1005 () (@list @t526)) % 0.96/1.15 (define @t1006 () (forall @t1005 @t1003)) % 0.96/1.15 (define @t1007 () (forall @t1005 @t1002)) % 0.96/1.15 (define @t1008 () (or @t1007 @t530)) % 0.96/1.15 (define @t1009 () (=> @t824 @t264)) % 0.96/1.15 (define @t1010 () (forall @t150 @t1009)) % 0.96/1.15 (define @t1011 () (=> tptp.exuE2 @t997)) % 0.96/1.15 (define @t1012 () (or @t196 @t259)) % 0.96/1.15 (define @t1013 () (=> tptp.subPowSU @t1011)) % 0.96/1.15 (define @t1014 () (not @t44)) % 0.96/1.15 (define @t1015 () (or @t1014 @t544)) % 0.96/1.15 (define @t1016 () (not false)) % 0.96/1.15 (define @t1017 () (and @t1016 @t544)) % 0.96/1.15 (define @t1018 () (or @t1017 false)) % 0.96/1.15 (define @t1019 () (and @t936 @t544)) % 0.96/1.15 (define @t1020 () (not (= @t173 false))) % 0.96/1.15 (define @t1021 () (or @t173 @t1019 @t173)) % 0.96/1.15 (define @t1022 () (or @t1019 @t173)) % 0.96/1.15 (define @t1023 () (or @t173 @t543)) % 0.96/1.15 (define @t1024 () (not @t39)) % 0.96/1.15 (define @t1025 () (not @t6)) % 0.96/1.15 (define @t1026 () (or @t1025 @t1024)) % 0.96/1.15 (define @t1027 () (forall @t41 @t1026)) % 0.96/1.15 (define @t1028 () (or @t173 @t1027)) % 0.96/1.15 (define @t1029 () (or @t173 @t1026)) % 0.96/1.15 (define @t1030 () (or @t1025 @t1024 @t173)) % 0.96/1.15 (define @t1031 () (=> tptp.setunionE @t1013)) % 0.96/1.15 (define @t1032 () (or @t1025 @t1024 @t44)) % 0.96/1.15 (define @t1033 () (=> tptp.setunionI @t1031)) % 0.96/1.15 (define @t1034 () (not @t35)) % 0.96/1.15 (define @t1035 () (or @t1034 @t1025 @t7)) % 0.96/1.15 (define @t1036 () (or @t1025 @t7)) % 0.96/1.15 (define @t1037 () (=> tptp.powersetE @t1033)) % 0.96/1.15 (define @t1038 () (=> tptp.emptyInPowerset @t1037)) % 0.96/1.15 (define @t1039 () (=> tptp.emptyinPowerset @t1038)) % 0.96/1.15 (define @t1040 () (or @t559 @t35)) % 0.96/1.15 (define @t1041 () (=> tptp.powersetI @t1039)) % 0.96/1.15 (define @t1042 () (_ @t155 @t563)) % 0.96/1.15 (define @t1043 () (= @t2 @t1042)) % 0.96/1.15 (define @t1044 () (=> tptp.setoftrueEq @t1041)) % 0.96/1.15 (define @t1045 () (not @t26)) % 0.96/1.15 (define @t1046 () (or @t1045 @t129 @t21)) % 0.96/1.15 (define @t1047 () (or @t129 @t21)) % 0.96/1.15 (define @t1048 () (=> tptp.setadjoinOr @t1044)) % 0.96/1.15 (define @t1049 () (or @t1045 @t129 @t567)) % 0.96/1.15 (define @t1050 () (and @t567 @t1016)) % 0.96/1.15 (define @t1051 () (and @t129 @t1016)) % 0.96/1.15 (define @t1052 () (or @t1051 @t1050)) % 0.96/1.15 (define @t1053 () (or @t1051 @t1050 false)) % 0.96/1.15 (define @t1054 () (and @t567 @t936)) % 0.96/1.15 (define @t1055 () (and @t129 @t936)) % 0.96/1.15 (define @t1056 () (or @t173 @t1055 @t1054 @t173)) % 0.96/1.15 (define @t1057 () (or @t1055 @t1054 @t173)) % 0.96/1.15 (define @t1058 () (and @t21 @t936)) % 0.96/1.15 (define @t1059 () (or @t1055 @t1058 @t173)) % 0.96/1.15 (define @t1060 () (=> @t129 @t173)) % 0.96/1.15 (define @t1061 () (=> tptp.setadjoinE @t1048)) % 0.96/1.15 (define @t1062 () (not @t21)) % 0.96/1.15 (define @t1063 () (or @t1062 @t26)) % 0.96/1.15 (define @t1064 () (=> tptp.setadjoinIR @t1061)) % 0.96/1.15 (define @t1065 () (=> tptp.emptyinunitempty @t1064)) % 0.96/1.15 (define @t1066 () (=> tptp.setadjoinIL @t1065)) % 0.96/1.15 (define @t1067 () (not (= tptp.emptyset tptp.emptyset))) % 0.96/1.15 (define @t1068 () (or @t584 @t1067)) % 0.96/1.15 (define @t1069 () (not (tptp.in @t583 @t2))) % 0.96/1.15 (define @t1070 () (or @t992 @t1069 @t992)) % 0.96/1.15 (define @t1071 () (or @t1069 @t992)) % 0.96/1.15 (define @t1072 () (forall @t64 @t1071)) % 0.96/1.15 (define @t1073 () (forall @t585 @t1072)) % 0.96/1.15 (define @t1074 () (forall (@list @t583 @t2) @t1071)) % 0.96/1.15 (define @t1075 () (forall (@list @t2 @t583) @t1071)) % 0.96/1.15 (define @t1076 () (forall @t585 @t1071)) % 0.96/1.15 (define @t1077 () (forall @t585 @t1069)) % 0.96/1.15 (define @t1078 () (or @t1077 @t992)) % 0.96/1.15 (define @t1079 () (not @t523)) % 0.96/1.15 (define @t1080 () (=> @t89 @t994)) % 0.96/1.15 (define @t1081 () (forall @t64 @t1080)) % 0.96/1.15 (define @t1082 () (=> tptp.nonemptyI1 @t1066)) % 0.96/1.15 (define @t1083 () (lambda @t70 @t445)) % 0.96/1.15 (define @t1084 () (tptp.dsetconstr @t2 @t1083)) % 0.96/1.15 (define @t1085 () (= tptp.emptyset @t1084)) % 0.96/1.15 (define @t1086 () (not @t1085)) % 0.96/1.15 (define @t1087 () (or @t521 @t450 @t1086)) % 0.96/1.15 (define @t1088 () (= tptp.emptyset @t156)) % 0.96/1.15 (define @t1089 () (not @t1088)) % 0.96/1.15 (define @t1090 () (or @t196 @t313 @t1089)) % 0.96/1.15 (define @t1091 () (=> @t144 @t1089)) % 0.96/1.15 (define @t1092 () (not (= @t156 tptp.emptyset))) % 0.96/1.15 (define @t1093 () (_ @t441 @t156)) % 0.96/1.15 (define @t1094 () (=> @t144 @t1093)) % 0.96/1.15 (define @t1095 () (=> @t7 @t1094)) % 0.96/1.15 (define @t1096 () (forall @t159 @t1095)) % 0.96/1.15 (define @t1097 () (=> tptp.nonemptyI @t1082)) % 0.96/1.15 (define @t1098 () (=> @t994 @t89)) % 0.96/1.15 (define @t1099 () (forall @t64 @t1098)) % 0.96/1.15 (define @t1100 () (=> tptp.nonemptyE1 @t1097)) % 0.96/1.15 (define @t1101 () (tptp.in @t4 @t1084)) % 0.96/1.15 (define @t1102 () (= @t449 @t1101)) % 0.96/1.15 (define @t1103 () (or @t521 @t1102)) % 0.96/1.15 (define @t1104 () (= @t144 @t157)) % 0.96/1.15 (define @t1105 () (or @t196 @t1104)) % 0.96/1.15 (define @t1106 () (=> tptp.setbeta @t1100)) % 0.96/1.15 (define @t1107 () (=> tptp.noeltsimpempty @t1106)) % 0.96/1.15 (define @t1108 () (=> tptp.emptyI @t1107)) % 0.96/1.15 (define @t1109 () (=> @t558 @t3)) % 0.96/1.15 (define @t1110 () (or @t196 @t6)) % 0.96/1.15 (define @t1111 () (=> tptp.setext @t1108)) % 0.96/1.15 (define @t1112 () (or @t446 (= @t602 @t19))) % 0.96/1.15 (define @t1113 () (forall @t70 @t1112)) % 0.96/1.15 (define @t1114 () (not @t1113)) % 0.96/1.15 (define @t1115 () (or @t605 @t603 @t1114)) % 0.96/1.15 (define @t1116 () (or @t603 @t1114)) % 0.96/1.15 (define @t1117 () (or @t1116 @t605)) % 0.96/1.15 (define @t1118 () (forall @t606 @t1117)) % 0.96/1.15 (define @t1119 () (@list @t602)) % 0.96/1.15 (define @t1120 () (forall @t1119 @t1117)) % 0.96/1.15 (define @t1121 () (forall @t1119 @t1116)) % 0.96/1.15 (define @t1122 () (or @t1121 @t605)) % 0.96/1.15 (define @t1123 () (=> @t824 @t186)) % 0.96/1.15 (define @t1124 () (forall @t150 @t1123)) % 0.96/1.15 (define @t1125 () (=> tptp.exuE3e @t1111)) % 0.96/1.15 (define @t1126 () (=> tptp.notinemptyset @t1125)) % 0.96/1.15 (define @t1127 () (=> tptp.emptysetimpfalse @t1126)) % 0.96/1.15 (define @t1128 () (or @t173 @t173)) % 0.96/1.15 (define @t1129 () (=> tptp.emptysetE @t1127)) % 0.96/1.15 (define @t1130 () (or @t613 false)) % 0.96/1.15 (define @t1131 () (tptp.in @t4 @t934)) % 0.96/1.15 (define @t1132 () (not @t1131)) % 0.96/1.15 (define @t1133 () (or @t173 @t1132 @t173)) % 0.96/1.15 (define @t1134 () (or @t1132 @t173)) % 0.96/1.15 (define @t1135 () (forall @t179 @t1134)) % 0.96/1.15 (define @t1136 () (forall @t9 @t1135)) % 0.96/1.15 (define @t1137 () (forall (@list @t4 @t173) @t1134)) % 0.96/1.15 (define @t1138 () (not @t175)) % 0.96/1.15 (define @t1139 () (or @t1138 @t173)) % 0.96/1.15 (define @t1140 () (=> tptp.prop2setE @t1129)) % 0.96/1.15 (define @t1141 () (=> @t824 @t169)) % 0.96/1.15 (define @t1142 () (forall @t150 @t1141)) % 0.96/1.15 (define @t1143 () (=> tptp.exuE1 @t1140)) % 0.96/1.15 (define @t1144 () (not @t1101)) % 0.96/1.15 (define @t1145 () (or @t1144 @t449)) % 0.96/1.15 (define @t1146 () (not @t157)) % 0.96/1.15 (define @t1147 () (or @t1146 @t144)) % 0.96/1.15 (define @t1148 () (=> tptp.dsetconstrER @t1143)) % 0.96/1.15 (define @t1149 () (or @t1144 @t520)) % 0.96/1.15 (define @t1150 () (or @t1146 @t7)) % 0.96/1.15 (define @t1151 () (=> tptp.dsetconstrEL @t1148)) % 0.96/1.15 (define @t1152 () (or @t521 @t450 @t1101)) % 0.96/1.15 (define @t1153 () (or @t196 @t313 @t157)) % 0.96/1.15 (define @t1154 () (=> tptp.dsetconstrI @t1151)) % 0.96/1.15 (define @t1155 () (or @t446 (= @t623 @t19))) % 0.96/1.15 (define @t1156 () (forall @t70 @t1155)) % 0.96/1.15 (define @t1157 () (not @t1156)) % 0.96/1.15 (define @t1158 () (or @t625 @t624 @t1157)) % 0.96/1.15 (define @t1159 () (or @t624 @t1157)) % 0.96/1.15 (define @t1160 () (or @t1159 @t625)) % 0.96/1.15 (define @t1161 () (forall @t626 @t1160)) % 0.96/1.15 (define @t1162 () (@list @t623)) % 0.96/1.15 (define @t1163 () (forall @t1162 @t1160)) % 0.96/1.15 (define @t1164 () (forall @t1162 @t1159)) % 0.96/1.15 (define @t1165 () (or @t1164 @t625)) % 0.96/1.15 (define @t1166 () (tptp.descr @t961)) % 0.96/1.15 (define @t1167 () (_ @t143 @t1166)) % 0.96/1.15 (define @t1168 () (or @t451 @t1167)) % 0.96/1.15 (define @t1169 () (or @t451 @t147)) % 0.96/1.15 (define @t1170 () (=> @t824 @t147)) % 0.96/1.15 (define @t1171 () (forall @t150 @t1170)) % 0.96/1.15 (define @t1172 () (=> tptp.descrp @t1154)) % 0.96/1.15 (define @t1173 () (and @t676 @t669 @t665 @t653)) % 0.96/1.15 (define @t1174 () (forall @t41 (not @t1173))) % 0.96/1.15 (define @t1175 () (not @t1174)) % 0.96/1.15 (define @t1176 () (@list @t648)) % 0.96/1.15 (define @t1177 () (forall @t1176 @t652)) % 0.96/1.15 (define @t1178 () (forall @t1176 @t649)) % 0.96/1.15 (define @t1179 () (or @t651 @t1178 @t647)) % 0.96/1.15 (define @t1180 () (forall @t9 @t644)) % 0.96/1.15 (define @t1181 () (or @t651 @t1180 @t647)) % 0.96/1.15 (define @t1182 () (not @t1180)) % 0.96/1.15 (define @t1183 () (and @t650 @t1182)) % 0.96/1.15 (define @t1184 () (not @t109)) % 0.96/1.15 (define @t1185 () (not @t110)) % 0.96/1.15 (define @t1186 () (or @t1185 @t1184 @t642 @t638)) % 0.96/1.15 (define @t1187 () (and @t110 @t109 @t641 @t637)) % 0.96/1.15 (define @t1188 () (forall @t112 (not @t1187))) % 0.96/1.15 (define @t1189 () (not @t1188)) % 0.96/1.15 (define @t1190 () (or @t631 @t630)) % 0.96/1.15 (define @t1191 () (or @t634 @t1190 @t632)) % 0.96/1.15 (define @t1192 () (forall @t636 @t1191)) % 0.96/1.15 (define @t1193 () (@list @t629)) % 0.96/1.15 (define @t1194 () (forall @t1193 @t1191)) % 0.96/1.15 (define @t1195 () (forall @t1193 @t1190)) % 0.96/1.15 (define @t1196 () (or @t634 @t1195 @t632)) % 0.96/1.15 (define @t1197 () (tptp.in @t19 @t93)) % 0.96/1.15 (define @t1198 () (forall @t70 (or (not @t1197) @t640))) % 0.96/1.15 (define @t1199 () (not @t100)) % 0.96/1.15 (define @t1200 () (or @t1199 @t1198 @t94)) % 0.96/1.15 (define @t1201 () (or @t1198 @t94)) % 0.96/1.15 (define @t1202 () (not @t97)) % 0.96/1.15 (define @t1203 () (or @t1202 @t96)) % 0.96/1.15 (define @t1204 () (not @t105)) % 0.96/1.15 (define @t1205 () (not @t96)) % 0.96/1.15 (define @t1206 () (or @t1205 @t1204)) % 0.96/1.15 (define @t1207 () (forall @t70 (not @t106))) % 0.96/1.15 (define @t1208 () (not @t1207)) % 0.96/1.15 (define @t1209 () (forall @t9 @t1184)) % 0.96/1.15 (define @t1210 () (not @t1209)) % 0.96/1.15 (define @t1211 () (or @t1184 @t7)) % 0.96/1.15 (define @t1212 () (or @t657 @t656)) % 0.96/1.15 (define @t1213 () (or @t660 @t659)) % 0.96/1.15 (define @t1214 () (or @t662 @t646 @t1213 @t1212)) % 0.96/1.15 (define @t1215 () (forall @t664 @t1214)) % 0.96/1.15 (define @t1216 () (forall (@list @t658 @t655) @t1214)) % 0.96/1.15 (define @t1217 () (forall (@list @t655) @t1212)) % 0.96/1.15 (define @t1218 () (forall (@list @t658) @t1213)) % 0.96/1.15 (define @t1219 () (or @t662 @t646 @t1218 @t1217)) % 0.96/1.15 (define @t1220 () (tptp.in @t4 @t95)) % 0.96/1.15 (define @t1221 () (forall @t9 (or (not @t1220) @t643))) % 0.96/1.15 (define @t1222 () (forall @t9 (or @t644 @t1220))) % 0.96/1.15 (define @t1223 () (not @t124)) % 0.96/1.15 (define @t1224 () (or @t1223 @t1185 @t1222 @t1221)) % 0.96/1.15 (define @t1225 () (or @t1222 @t1221)) % 0.96/1.15 (define @t1226 () (not @t120)) % 0.96/1.15 (define @t1227 () (or @t1226 @t109)) % 0.96/1.15 (define @t1228 () (or @t1184 @t120)) % 0.96/1.15 (define @t1229 () (or @t196 @t1062 @t668 @t129)) % 0.96/1.15 (define @t1230 () (=> @t667 @t129)) % 0.96/1.15 (define @t1231 () (or @t1223 @t130)) % 0.96/1.15 (define @t1232 () (or @t673 @t672)) % 0.96/1.15 (define @t1233 () (or @t662 @t1232)) % 0.96/1.15 (define @t1234 () (forall @t675 @t1233)) % 0.96/1.15 (define @t1235 () (@list @t671)) % 0.96/1.15 (define @t1236 () (forall @t1235 @t1233)) % 0.96/1.15 (define @t1237 () (forall @t1235 @t1232)) % 0.96/1.15 (define @t1238 () (or @t662 @t1237)) % 0.96/1.15 (define @t1239 () (or @t1223 @t650)) % 0.96/1.15 (define @t1240 () (=> tptp.wellorderingAx @t1172)) % 0.96/1.15 (define @t1241 () (@list @t684)) % 0.96/1.15 (define @t1242 () (forall @t1241 @t686)) % 0.96/1.15 (define @t1243 () (forall @t1241 @t685)) % 0.96/1.15 (define @t1244 () (or @t1243 @t683)) % 0.96/1.15 (define @t1245 () (or @t1024 @t682)) % 0.96/1.15 (define @t1246 () (and @t39 @t681)) % 0.96/1.15 (define @t1247 () (forall @t41 (not @t1246))) % 0.96/1.15 (define @t1248 () (not @t1247)) % 0.96/1.15 (define @t1249 () (or @t1025 @t196)) % 0.96/1.15 (define @t1250 () (forall @t9 (not @t84))) % 0.96/1.15 (define @t1251 () (not @t1250)) % 0.96/1.15 (define @t1252 () (=> tptp.foundationAx @t1240)) % 0.96/1.15 (define @t1253 () (= @t6 @t690)) % 0.96/1.15 (define @t1254 () (not @t68)) % 0.96/1.15 (define @t1255 () (or @t1062 @t1254)) % 0.96/1.15 (define @t1256 () (forall @t70 (not @t69))) % 0.96/1.15 (define @t1257 () (not @t1256)) % 0.96/1.15 (define @t1258 () (or @t196 @t699)) % 0.96/1.15 (define @t1259 () (_ @t75 @t693)) % 0.96/1.15 (define @t1260 () (not @t1259)) % 0.96/1.15 (define @t1261 () (or @t1260 @t696)) % 0.96/1.15 (define @t1262 () (not @t76)) % 0.96/1.15 (define @t1263 () (or @t1262 @t694)) % 0.96/1.15 (define @t1264 () (_ @t77 @t19)) % 0.96/1.15 (define @t1265 () (not @t1264)) % 0.96/1.15 (define @t1266 () (or @t1265 @t694)) % 0.96/1.15 (define @t1267 () (forall @t70 @t1266)) % 0.96/1.15 (define @t1268 () (not @t1267)) % 0.96/1.15 (define @t1269 () (_ @t77 @t693)) % 0.96/1.15 (define @t1270 () (not @t1269)) % 0.96/1.15 (define @t1271 () (or @t1270 @t1268)) % 0.96/1.15 (define @t1272 () (forall @t698 @t1271)) % 0.96/1.15 (define @t1273 () (not @t1272)) % 0.96/1.15 (define @t1274 () (not (_ @t143 @t693))) % 0.96/1.15 (define @t1275 () (or @t446 (= @t693 @t19))) % 0.96/1.15 (define @t1276 () (forall @t70 @t1275)) % 0.96/1.15 (define @t1277 () (not @t1276)) % 0.96/1.15 (define @t1278 () (or @t1274 @t1277)) % 0.96/1.15 (define @t1279 () (forall @t698 @t1278)) % 0.96/1.15 (define @t1280 () (not @t1279)) % 0.96/1.15 (define @t1281 () (=> @t7 (_ @t823 @t77))) % 0.96/1.15 (define @t1282 () (forall @t9 @t1281)) % 0.96/1.15 (define @t1283 () (=> @t1282 @t74)) % 0.96/1.15 (define @t1284 () (forall @t81 @t1283)) % 0.96/1.15 (define @t1285 () (=> tptp.replAx @t1252)) % 0.96/1.15 (define @t1286 () (or @t705 @t704)) % 0.96/1.15 (define @t1287 () (or @t713 @t711 @t1286)) % 0.96/1.15 (define @t1288 () (forall @t715 @t1287)) % 0.96/1.15 (define @t1289 () (@list @t703)) % 0.96/1.15 (define @t1290 () (forall @t1289 @t1287)) % 0.96/1.15 (define @t1291 () (forall @t1289 @t1286)) % 0.96/1.15 (define @t1292 () (or @t713 @t711 @t1291)) % 0.96/1.15 (define @t1293 () (forall @t9 (or @t709 @t520))) % 0.96/1.15 (define @t1294 () (not @t61)) % 0.96/1.15 (define @t1295 () (or @t1294 @t711 @t1293)) % 0.96/1.15 (define @t1296 () (and @t61 @t710)) % 0.96/1.15 (define @t1297 () (not @t54)) % 0.96/1.15 (define @t1298 () (or @t1297 @t7)) % 0.96/1.15 (define @t1299 () (_ tptp.in @t706)) % 0.96/1.15 (define @t1300 () (or @t1297 @t196 @t58)) % 0.96/1.15 (define @t1301 () (=> tptp.omegaIndAx @t1285)) % 0.96/1.15 (define @t1302 () (or @t1297 @t53)) % 0.96/1.15 (define @t1303 () (=> tptp.omegaSAx @t1301)) % 0.96/1.15 (define @t1304 () (=> tptp.omega0Ax @t1303)) % 0.96/1.15 (define @t1305 () (= @t44 @t544)) % 0.96/1.15 (define @t1306 () (forall @t41 (not @t40))) % 0.96/1.15 (define @t1307 () (not @t1306)) % 0.96/1.15 (define @t1308 () (=> tptp.setunionAx @t1304)) % 0.96/1.15 (define @t1309 () (= @t35 @t558)) % 0.96/1.15 (define @t1310 () (=> tptp.powersetAx @t1308)) % 0.96/1.15 (define @t1311 () (= @t26 @t1047)) % 0.96/1.15 (define @t1312 () (=> tptp.setadjoinAx @t1310)) % 0.96/1.15 (define @t1313 () (=> tptp.emptysetAx @t1312)) % 0.96/1.15 (define @t1314 () (=> tptp.setextAx @t1313)) % 0.96/1.15 (define @t1315 () (not @t364)) % 0.96/1.15 (define @t1316 () (or @t1315 @t443)) % 0.96/1.15 (define @t1317 () (not @t367)) % 0.96/1.15 (define @t1318 () (or @t1317 @t129)) % 0.96/1.15 (define @t1319 () (_ @t365 @t19)) % 0.96/1.15 (define @t1320 () (not @t1319)) % 0.96/1.15 (define @t1321 () (or @t1320 @t129)) % 0.96/1.15 (define @t1322 () (forall @t70 @t1321)) % 0.96/1.15 (define @t1323 () (not @t1322)) % 0.96/1.15 (define @t1324 () (_ @t365 @t4)) % 0.96/1.15 (define @t1325 () (not @t1324)) % 0.96/1.15 (define @t1326 () (or @t1325 @t1323)) % 0.96/1.15 (define @t1327 () (forall @t9 @t1326)) % 0.96/1.15 (define @t1328 () (not @t1327)) % 0.96/1.15 (define @t1329 () (_ @t823 @t365)) % 0.96/1.15 (define @t1330 () (= @t824 @t1329)) % 0.96/1.15 (define @t1331 () (or @t853 @t454)) % 0.96/1.15 (define @t1332 () (= @t449 @t442)) % 0.96/1.15 (define @t1333 () (or @t280 @t280 @t1332)) % 0.96/1.15 (define @t1334 () (or @t280 @t1332)) % 0.96/1.15 (define @t1335 () (forall @t9 @t1334)) % 0.96/1.15 (define @t1336 () (forall @t70 @t1335)) % 0.96/1.15 (define @t1337 () (forall @t860 @t1334)) % 0.96/1.15 (define @t1338 () (or @t280 @t368)) % 0.96/1.15 (define @t1339 () (=> @t369 @t1330)) % 0.96/1.15 (define @t1340 () (forall @t371 @t1339)) % 0.96/1.15 (define @t1341 () (=> tptp.exuE3u @t1340)) % 0.96/1.15 (define @t1342 () (=> tptp.in__Cong @t1341)) % 0.96/1.15 (define @t1343 () (=> tptp.inCongP @t1342)) % 0.96/1.15 (define @t1344 () (=> tptp.exuI2 @t1343)) % 0.96/1.15 (define @t1345 () (=> tptp.exuI3 @t1344)) % 0.96/1.15 (define @t1346 () (=> tptp.exuI1 @t1345)) % 0.96/1.15 (define @t1347 () (=> tptp.notdallE @t1346)) % 0.96/1.15 (define @t1348 () (=> tptp.notdexE @t1347)) % 0.96/1.15 (define @t1349 () (=> tptp.prop2set2propI @t1348)) % 0.96/1.15 (define @t1350 () (=> tptp.prop2setI @t1349)) % 0.96/1.15 (define @t1351 () (=> tptp.quantDeMorgan4 @t1350)) % 0.96/1.15 (define @t1352 () (=> tptp.quantDeMorgan3 @t1351)) % 0.96/1.15 (define @t1353 () (=> tptp.quantDeMorgan2 @t1352)) % 0.96/1.15 (define @t1354 () (=> tptp.quantDeMorgan1 @t1353)) % 0.96/1.15 (define @t1355 () (=> tptp.vacuousDall @t1354)) % 0.96/1.15 (define @t1356 () (=> tptp.emptyE1 @t1355)) % 0.96/1.15 (define @t1357 () (=> tptp.upairsetIR @t1356)) % 0.96/1.15 (define @t1358 () (=> tptp.upairsetIL @t1357)) % 0.96/1.15 (define @t1359 () (=> tptp.upairsetE @t1358)) % 0.96/1.15 (define @t1360 () (=> tptp.singletonsswitch @t1359)) % 0.96/1.15 (define @t1361 () (=> tptp.eqinunit @t1360)) % 0.96/1.15 (define @t1362 () (=> tptp.notinsingleton @t1361)) % 0.96/1.15 (define @t1363 () (=> tptp.uniqinunit @t1362)) % 0.96/1.15 (define @t1364 () (=> tptp.nonemptyImpWitness @t1363)) % 0.96/1.15 (define @t1365 () (=> tptp.exuE2 @t1364)) % 0.96/1.15 (define @t1366 () (=> tptp.subPowSU @t1365)) % 0.96/1.15 (define @t1367 () (=> tptp.setunionE @t1366)) % 0.96/1.15 (define @t1368 () (=> tptp.setunionI @t1367)) % 0.96/1.15 (define @t1369 () (=> tptp.powersetE @t1368)) % 0.96/1.15 (define @t1370 () (=> tptp.emptyInPowerset @t1369)) % 0.96/1.15 (define @t1371 () (=> tptp.emptyinPowerset @t1370)) % 0.96/1.15 (define @t1372 () (=> tptp.powersetI @t1371)) % 0.96/1.15 (define @t1373 () (=> tptp.setoftrueEq @t1372)) % 0.96/1.15 (define @t1374 () (=> tptp.setadjoinOr @t1373)) % 0.96/1.15 (define @t1375 () (=> tptp.setadjoinE @t1374)) % 0.96/1.15 (define @t1376 () (=> tptp.setadjoinIR @t1375)) % 0.96/1.15 (define @t1377 () (=> tptp.emptyinunitempty @t1376)) % 0.96/1.15 (define @t1378 () (=> tptp.setadjoinIL @t1377)) % 0.96/1.15 (define @t1379 () (=> tptp.nonemptyI1 @t1378)) % 0.96/1.15 (define @t1380 () (=> tptp.nonemptyI @t1379)) % 0.96/1.15 (define @t1381 () (=> tptp.nonemptyE1 @t1380)) % 0.96/1.15 (define @t1382 () (=> tptp.setbeta @t1381)) % 0.96/1.15 (define @t1383 () (=> tptp.noeltsimpempty @t1382)) % 0.96/1.15 (define @t1384 () (=> tptp.emptyI @t1383)) % 0.96/1.15 (define @t1385 () (=> tptp.setext @t1384)) % 0.96/1.15 (define @t1386 () (=> tptp.exuE3e @t1385)) % 0.96/1.15 (define @t1387 () (=> tptp.notinemptyset @t1386)) % 0.96/1.15 (define @t1388 () (=> tptp.emptysetimpfalse @t1387)) % 0.96/1.15 (define @t1389 () (=> tptp.emptysetE @t1388)) % 0.96/1.15 (define @t1390 () (=> tptp.prop2setE @t1389)) % 0.96/1.15 (define @t1391 () (=> tptp.exuE1 @t1390)) % 0.96/1.15 (define @t1392 () (=> tptp.dsetconstrER @t1391)) % 0.96/1.15 (define @t1393 () (=> tptp.dsetconstrEL @t1392)) % 0.96/1.15 (define @t1394 () (=> tptp.dsetconstrI @t1393)) % 0.96/1.15 (define @t1395 () (=> tptp.descrp @t1394)) % 0.96/1.15 (define @t1396 () (=> tptp.wellorderingAx @t1395)) % 0.96/1.15 (define @t1397 () (=> tptp.foundationAx @t1396)) % 0.96/1.15 (define @t1398 () (=> tptp.replAx @t1397)) % 0.96/1.15 (define @t1399 () (=> tptp.omegaIndAx @t1398)) % 0.96/1.15 (define @t1400 () (=> tptp.omegaSAx @t1399)) % 0.96/1.15 (define @t1401 () (=> tptp.omega0Ax @t1400)) % 0.96/1.15 (define @t1402 () (=> tptp.setunionAx @t1401)) % 0.96/1.15 (define @t1403 () (=> tptp.powersetAx @t1402)) % 0.96/1.15 (define @t1404 () (=> tptp.setadjoinAx @t1403)) % 0.96/1.15 (define @t1405 () (=> tptp.emptysetAx @t1404)) % 0.96/1.15 (define @t1406 () (=> tptp.setextAx @t1405)) % 0.96/1.15 (define @t1407 () (@quantifiers_skolemize @t456 0)) % 0.96/1.15 (define @t1408 () (not (_ @t1407 @t4))) % 0.96/1.15 (define @t1409 () (forall @t9 @t1408)) % 0.96/1.15 (define @t1410 () (@quantifiers_skolemize @t1409 0)) % 0.96/1.15 (define @t1411 () (_ @t1407 @t19)) % 0.96/1.15 (define @t1412 () (not @t1411)) % 0.96/1.15 (define @t1413 () (forall @t135 (or @t1408 @t1412 @t129))) % 0.96/1.15 (define @t1414 () (@quantifiers_skolemize @t1413 0)) % 0.96/1.15 (define @t1415 () (_ @t1407 @t1414)) % 0.96/1.15 (define @t1416 () (@quantifiers_skolemize @t1413 1)) % 0.96/1.15 (define @t1417 () (= @t1414 @t1416)) % 0.96/1.15 (define @t1418 () (_ @t1407 @t1416)) % 0.96/1.15 (define @t1419 () (not @t1418)) % 0.96/1.15 (define @t1420 () (not @t1415)) % 0.96/1.15 (define @t1421 () (or @t1420 @t1419 @t1417)) % 0.96/1.15 (define @t1422 () (@quantifiers_skolemize @t456 1)) % 0.96/1.15 (define @t1423 () (_ @t1422 @t19)) % 0.96/1.15 (define @t1424 () (forall @t70 (= @t1411 @t1423))) % 0.96/1.15 (define @t1425 () (not @t1423)) % 0.96/1.15 (define @t1426 () (forall @t9 (or (not (_ @t1422 @t4)) (not (forall @t70 (or @t1425 @t129)))))) % 0.96/1.15 (define @t1427 () (not @t1426)) % 0.96/1.15 (define @t1428 () (forall @t9 (or @t1408 (not (forall @t70 (or @t1412 @t129)))))) % 0.96/1.15 (define @t1429 () (not @t1428)) % 0.96/1.15 (define @t1430 () (= @t1429 @t1427)) % 0.96/1.15 (define @t1431 () (not @t1424)) % 0.96/1.15 (define @t1432 () (or @t1431 @t1430)) % 0.96/1.15 (define @t1433 () (@list true)) % 0.96/1.15 (define @t1434 () (@list @t1432)) % 0.96/1.15 (define @t1435 () (@const 0 $$unsorted)) % 0.96/1.15 (define @t1436 () (= (_ @t1407 @t1435) (_ @t1422 @t1435))) % 0.96/1.15 (define @t1437 () (= @t1407 @t1422)) % 0.96/1.15 (define @t1438 () (@list false)) % 0.96/1.15 (define @t1439 () (_ @t1422 @t1414)) % 0.96/1.15 (define @t1440 () (and @t1437 @t1415)) % 0.96/1.15 (define @t1441 () (_ @t1422 @t1416)) % 0.96/1.15 (define @t1442 () (and @t1437 @t1418)) % 0.96/1.15 (define @t1443 () (not @t1427)) % 0.96/1.15 (define @t1444 () (not @t1429)) % 0.96/1.15 (define @t1445 () (@quantifiers_skolemize @t1428 0)) % 0.96/1.15 (define @t1446 () (= @t19 @t1445)) % 0.96/1.15 (define @t1447 () (forall @t70 (or @t1412 @t1446))) % 0.96/1.15 (define @t1448 () (not @t1447)) % 0.96/1.15 (define @t1449 () (_ @t1407 @t1445)) % 0.96/1.15 (define @t1450 () (not @t1449)) % 0.96/1.15 (define @t1451 () (or @t1450 @t1448)) % 0.96/1.15 (define @t1452 () (not @t1451)) % 0.96/1.15 (define @t1453 () (= @t1445 @t19)) % 0.96/1.15 (define @t1454 () (or @t1412 @t1453)) % 0.96/1.15 (define @t1455 () (forall @t70 @t1454)) % 0.96/1.15 (define @t1456 () (not @t1455)) % 0.96/1.15 (define @t1457 () (or @t1450 @t1456)) % 0.96/1.15 (define @t1458 () (not @t1457)) % 0.96/1.15 (define @t1459 () (or @t1425 @t1453)) % 0.96/1.15 (define @t1460 () (forall @t70 @t1459)) % 0.96/1.15 (define @t1461 () (not @t1460)) % 0.96/1.15 (define @t1462 () (_ @t1422 @t1445)) % 0.96/1.15 (define @t1463 () (not @t1462)) % 0.96/1.15 (define @t1464 () (or @t1463 @t1461)) % 0.96/1.15 (define @t1465 () (@list @t1445)) % 0.96/1.15 (define @t1466 () (= @t1449 @t1462)) % 0.96/1.15 (define @t1467 () (forall @t70 (or @t1425 @t1446))) % 0.96/1.15 (define @t1468 () (@quantifiers_skolemize @t1467 0)) % 0.96/1.15 (define @t1469 () (_ @t1407 @t1468)) % 0.96/1.15 (define @t1470 () (not @t1469)) % 0.96/1.15 (define @t1471 () (= @t1468 @t1445)) % 0.96/1.15 (define @t1472 () (or @t1470 @t1471)) % 0.96/1.15 (define @t1473 () (@list @t1468)) % 0.96/1.15 (define @t1474 () (not @t1467)) % 0.96/1.15 (define @t1475 () (or @t1463 @t1474)) % 0.96/1.15 (define @t1476 () (= @t1445 @t1468)) % 0.96/1.15 (define @t1477 () (_ @t1422 @t1468)) % 0.96/1.15 (define @t1478 () (not @t1477)) % 0.96/1.15 (define @t1479 () (or @t1478 @t1476)) % 0.96/1.15 (define @t1480 () (not @t1479)) % 0.96/1.15 (define @t1481 () (or @t1478 @t1471)) % 0.96/1.15 (define @t1482 () (not @t1481)) % 0.96/1.15 (define @t1483 () (= @t1469 @t1477)) % 0.96/1.15 (define @t1484 () (= @t1477 @t1469)) % 0.96/1.15 (define @t1485 () (or @t1470 @t1476)) % 0.96/1.15 (define @t1486 () (@quantifiers_skolemize @t1426 0)) % 0.96/1.15 (define @t1487 () (forall @t70 (or @t1425 (= @t19 @t1486)))) % 0.96/1.15 (define @t1488 () (not @t1487)) % 0.96/1.15 (define @t1489 () (_ @t1422 @t1486)) % 0.96/1.15 (define @t1490 () (not @t1489)) % 0.96/1.15 (define @t1491 () (or @t1490 @t1488)) % 0.96/1.15 (define @t1492 () (not @t1491)) % 0.96/1.15 (define @t1493 () (or @t1425 (= @t1486 @t19))) % 0.96/1.15 (define @t1494 () (forall @t70 @t1493)) % 0.96/1.15 (define @t1495 () (not @t1494)) % 0.96/1.15 (define @t1496 () (or @t1490 @t1495)) % 0.96/1.15 (define @t1497 () (not @t1496)) % 0.96/1.15 (define @t1498 () (@list @t1491)) % 0.96/1.15 (define @t1499 () (not @t1439)) % 0.96/1.15 (define @t1500 () (or @t1499 (= @t1414 @t1486))) % 0.96/1.15 (define @t1501 () (= @t1486 @t1414)) % 0.96/1.15 (define @t1502 () (or @t1499 @t1501)) % 0.96/1.15 (define @t1503 () (@list @t1487)) % 0.96/1.15 (define @t1504 () (not @t1441)) % 0.96/1.15 (define @t1505 () (or @t1504 (= @t1416 @t1486))) % 0.96/1.15 (define @t1506 () (= @t1486 @t1416)) % 0.96/1.15 (define @t1507 () (or @t1504 @t1506)) % 0.96/1.15 (define @t1508 () (not @t1506)) % 0.96/1.15 (define @t1509 () (not @t1501)) % 0.96/1.15 (define @t1510 () (not @t1417)) % 0.96/1.15 (define @t1511 () (and @t1510 @t1501)) % 0.96/1.15 (define @t1512 () (not @t1437)) % 0.96/1.15 (define @t1513 () (not @t1421)) % 0.96/1.15 (define @t1514 () (not @t1413)) % 0.96/1.15 (define @t1515 () (_ @t1407 @t1410)) % 0.96/1.15 (define @t1516 () (not @t1515)) % 0.96/1.15 (define @t1517 () (or @t1516 @t1514 @t1429)) % 0.96/1.15 (define @t1518 () (@list false false false)) % 0.96/1.15 (define @t1519 () (not @t1409)) % 0.96/1.15 (define @t1520 () (not @t1516)) % 0.96/1.15 (define @t1521 () (_ @t1422 (tptp.descr @t1422))) % 0.96/1.15 (define @t1522 () (or @t1521 @t1490 @t1488)) % 0.96/1.15 (define @t1523 () (tptp.descr @t1407)) % 0.96/1.15 (define @t1524 () (_ @t1407 @t1523)) % 0.96/1.15 (define @t1525 () (and @t1437 @t1521)) % 0.96/1.15 (define @t1526 () (@list false false)) % 0.96/1.15 (assume @p1 @t14) % 0.96/1.15 (assume @p2 @t18) % 0.96/1.15 (assume @p3 @t30) % 0.96/1.15 (assume @p4 @t38) % 0.96/1.15 (assume @p5 @t48) % 0.96/1.15 (assume @p6 (= tptp.omega0Ax @t50)) % 0.96/1.15 (assume @p7 @t56) % 0.96/1.15 (assume @p8 @t66) % 0.96/1.15 (assume @p9 @t83) % 0.96/1.15 (assume @p10 @t92) % 0.96/1.15 (assume @p11 @t142) % 0.96/1.15 (assume @p12 @t152) % 0.96/1.15 (assume @p13 @t161) % 0.96/1.15 (assume @p14 @t163) % 0.96/1.15 (assume @p15 @t165) % 0.96/1.15 (assume @p16 @t172) % 0.96/1.15 (assume @p17 @t178) % 0.96/1.15 (assume @p18 @t183) % 0.96/1.15 (assume @p19 @t185) % 0.96/1.15 (assume @p20 (= tptp.notinemptyset @t17)) % 0.96/1.15 (assume @p21 @t189) % 0.96/1.15 (assume @p22 @t194) % 0.96/1.15 (assume @p23 @t200) % 0.96/1.15 (assume @p24 (= tptp.noeltsimpempty @t199)) % 0.96/1.15 (assume @p25 @t203) % 0.96/1.15 (assume @p26 @t207) % 0.96/1.15 (assume @p27 @t211) % 0.96/1.15 (assume @p28 @t214) % 0.96/1.15 (assume @p29 @t218) % 0.96/1.15 (assume @p30 (= tptp.emptyinunitempty @t220)) % 0.96/1.15 (assume @p31 @t222) % 0.96/1.15 (assume @p32 @t230) % 0.96/1.15 (assume @p33 @t233) % 0.96/1.15 (assume @p34 @t237) % 0.96/1.15 (assume @p35 @t240) % 0.96/1.15 (assume @p36 @t243) % 0.96/1.15 (assume @p37 (= tptp.emptyInPowerset @t242)) % 0.96/1.15 (assume @p38 @t246) % 0.96/1.15 (assume @p39 @t250) % 0.96/1.15 (assume @p40 @t257) % 0.96/1.15 (assume @p41 @t261) % 0.96/1.15 (assume @p42 @t267) % 0.96/1.15 (assume @p43 @t272) % 0.96/1.15 (assume @p44 @t276) % 0.96/1.15 (assume @p45 @t282) % 0.96/1.15 (assume @p46 @t284) % 0.96/1.15 (assume @p47 @t286) % 0.96/1.15 (assume @p48 @t295) % 0.96/1.15 (assume @p49 @t298) % 0.96/1.15 (assume @p50 @t301) % 0.96/1.15 (assume @p51 @t309) % 0.96/1.15 (assume @p52 @t312) % 0.96/1.15 (assume @p53 @t320) % 0.96/1.15 (assume @p54 @t325) % 0.96/1.15 (assume @p55 @t328) % 0.96/1.15 (assume @p56 @t331) % 0.96/1.15 (assume @p57 @t334) % 0.96/1.15 (assume @p58 @t337) % 0.96/1.15 (assume @p59 (= tptp.notdexE @t327)) % 0.96/1.15 (assume @p60 (= tptp.notdallE @t319)) % 0.96/1.15 (assume @p61 @t340) % 0.96/1.15 (assume @p62 @t345) % 0.96/1.15 (assume @p63 @t348) % 0.96/1.15 (assume @p64 @t354) % 0.96/1.15 (assume @p65 @t359) % 0.96/1.15 (assume @p66 @t362) % 0.96/1.15 (assume @p67 @t439) % 0.96/1.15 (assume @p68 true) % 0.96/1.15 (step @p69 (= tptp.exu @t440) :rule refl :args (@t440)) % 0.96/1.15 (step @p70 (= tptp.nonempty @t441) :rule refl :args (@t441)) % 0.96/1.15 (step @p71 :rule refl :args (@t475)) % 0.96/1.15 (step @p72 :rule skolem_intro :args ((@purify true))) % 0.96/1.15 (step @p73 :rule symm :premises (@p72)) % 0.96/1.15 (step @p74 :rule cong :premises (@p73) :args (@t476)) % 0.96/1.15 (step @p75 :rule cong :premises (@p74) :args (@t477)) % 0.96/1.15 (step @p76 :rule cong :premises (@p75 @p71) :args (@t478)) % 0.96/1.15 (step @p77 :rule refl :args (tptp.emptyset)) % 0.96/1.15 (step @p78 :rule cong :premises (@p77 @p74) :args (@t479)) % 0.96/1.15 (step @p79 :rule cong :premises (@p78 @p76) :args (@t480)) % 0.96/1.15 (step @p80 :rule refl :args (@t483)) % 0.96/1.15 (step @p81 :rule cong :premises (@p80 @p79) :args (@t484)) % 0.96/1.15 (step @p82 :rule refl :args (@t492)) % 0.96/1.15 (step @p83 :rule cong :premises (@p82 @p81) :args (@t493)) % 0.96/1.15 (step @p84 :rule refl :args (@t497)) % 0.96/1.15 (step @p85 :rule cong :premises (@p84 @p83) :args (@t498)) % 0.96/1.15 (step @p86 :rule refl :args (@t500)) % 0.96/1.15 (step @p87 :rule cong :premises (@p86 @p85) :args (@t501)) % 0.96/1.15 (step @p88 :rule refl :args (@t505)) % 0.96/1.15 (step @p89 :rule cong :premises (@p88 @p87) :args (@t506)) % 0.96/1.15 (step @p90 :rule refl :args (@t511)) % 0.96/1.15 (step @p91 :rule cong :premises (@p90 @p89) :args (@t512)) % 0.96/1.15 (step @p92 :rule refl :args (@t514)) % 0.96/1.15 (step @p93 :rule cong :premises (@p92 @p91) :args (@t515)) % 0.96/1.15 (step @p94 :rule refl :args (@t516)) % 0.96/1.15 (step @p95 :rule cong :premises (@p94 @p93) :args (@t517)) % 0.96/1.15 (step @p96 :rule refl :args (@t518)) % 0.96/1.15 (step @p97 :rule cong :premises (@p96 @p95) :args (@t519)) % 0.96/1.15 (step @p98 :rule refl :args (@t524)) % 0.96/1.15 (step @p99 :rule cong :premises (@p98 @p97) :args (@t525)) % 0.96/1.15 (step @p100 :rule refl :args (@t532)) % 0.96/1.15 (step @p101 :rule cong :premises (@p100 @p99) :args (@t533)) % 0.96/1.15 (step @p102 :rule refl :args (@t537)) % 0.96/1.15 (step @p103 :rule cong :premises (@p102 @p101) :args (@t538)) % 0.96/1.15 (step @p104 :rule refl :args (@t546)) % 0.96/1.15 (step @p105 :rule cong :premises (@p104 @p103) :args (@t547)) % 0.96/1.15 (step @p106 :rule refl :args (@t548)) % 0.96/1.15 (step @p107 :rule cong :premises (@p106 @p105) :args (@t549)) % 0.96/1.15 (step @p108 :rule refl :args (@t552)) % 0.96/1.15 (step @p109 :rule cong :premises (@p108 @p107) :args (@t553)) % 0.96/1.15 (step @p110 :rule refl :args (@t555)) % 0.96/1.15 (step @p111 :rule cong :premises (@p110 @p109) :args (@t556)) % 0.96/1.15 (step @p112 :rule cong :premises (@p110 @p111) :args (@t557)) % 0.96/1.15 (step @p113 :rule refl :args (@t560)) % 0.96/1.15 (step @p114 :rule cong :premises (@p113 @p112) :args (@t561)) % 0.96/1.15 (step @p115 :rule refl :args (@t565)) % 0.96/1.15 (step @p116 :rule cong :premises (@p115 @p114) :args (@t566)) % 0.96/1.15 (step @p117 :rule refl :args (@t570)) % 0.96/1.15 (step @p118 :rule cong :premises (@p117 @p116) :args (@t571)) % 0.96/1.15 (step @p119 :rule cong :premises (@p117 @p118) :args (@t572)) % 0.96/1.15 (step @p120 :rule refl :args (@t574)) % 0.96/1.15 (step @p121 :rule cong :premises (@p120 @p119) :args (@t575)) % 0.96/1.15 (step @p122 :rule refl :args ((tptp.in tptp.emptyset @t219))) % 0.96/1.15 (step @p123 :rule refl :args (@t576)) % 0.96/1.15 (step @p124 :rule refl :args (tptp.emptyset)) % 0.96/1.15 (step @p125 :rule cong :premises (@p124 @p123) :args (@t577)) % 0.96/1.15 (step @p126 :rule trans :premises (@p125 @p122)) % 0.96/1.15 (step @p127 :rule refl :args (@t49)) % 0.96/1.15 (step @p128 :rule ho_cong :premises (@p127 @p123)) % 0.96/1.15 (step @p129 :rule cong :premises (@p128 @p126) :args ((= (_ @t49 @t576) @t577))) % 0.96/1.15 (step @p130 :rule symm :premises (@p129)) % 0.96/1.15 (step @p131 :rule refl :args (@t220)) % 0.96/1.15 (step @p132 :rule eq_resolve :premises (@p131 @p130)) % 0.96/1.15 (step @p133 :rule refl :args (@t219)) % 0.96/1.15 (step @p134 :rule cong :premises (@p133 @p123) :args ((= @t219 @t576))) % 0.96/1.15 (step @p135 :rule symm :premises (@p134)) % 0.96/1.15 (step @p136 :rule eq_resolve :premises (@p133 @p135)) % 0.96/1.15 (step @p137 :rule refl :args (@t49)) % 0.96/1.15 (step @p138 :rule ho_cong :premises (@p137 @p136)) % 0.96/1.15 (step @p139 :rule trans :premises (@p138 @p132)) % 0.96/1.15 (step @p140 :rule cong :premises (@p139 @p121) :args (@t578)) % 0.96/1.15 (step @p141 :rule refl :args (@t581)) % 0.96/1.15 (step @p142 :rule cong :premises (@p141 @p140) :args (@t582)) % 0.96/1.15 (step @p143 :rule refl :args (@t586)) % 0.96/1.15 (step @p144 :rule cong :premises (@p143 @p142) :args (@t587)) % 0.96/1.15 (step @p145 :rule refl :args (@t588)) % 0.96/1.15 (step @p146 :rule cong :premises (@p145 @p144) :args (@t589)) % 0.96/1.15 (step @p147 :rule cong :premises (@p98 @p146) :args (@t590)) % 0.96/1.15 (step @p148 :rule refl :args (@t592)) % 0.96/1.15 (step @p149 :rule cong :premises (@p148 @p147) :args (@t593)) % 0.96/1.15 (step @p150 :rule refl :args (@t594)) % 0.96/1.15 (step @p151 :rule cong :premises (@p150 @p149) :args (@t595)) % 0.96/1.15 (step @p152 :rule cong :premises (@p150 @p151) :args (@t596)) % 0.96/1.15 (step @p153 :rule refl :args (@t600)) % 0.96/1.15 (step @p154 :rule cong :premises (@p153 @p152) :args (@t601)) % 0.96/1.15 (step @p155 :rule refl :args (@t607)) % 0.96/1.15 (step @p156 :rule cong :premises (@p155 @p154) :args (@t608)) % 0.96/1.15 (step @p157 :rule refl :args (@t609)) % 0.96/1.15 (step @p158 :rule cong :premises (@p157 @p156) :args (@t610)) % 0.96/1.15 (step @p159 :rule cong :premises (@p157 @p158) :args (@t611)) % 0.96/1.15 (step @p160 :rule cong :premises (@p157 @p159) :args (@t612)) % 0.96/1.15 (step @p161 :rule refl :args (@t614)) % 0.96/1.15 (step @p162 :rule cong :premises (@p161 @p160) :args (@t615)) % 0.96/1.15 (step @p163 :rule refl :args (@t617)) % 0.96/1.15 (step @p164 :rule cong :premises (@p163 @p162) :args (@t618)) % 0.96/1.15 (step @p165 :rule refl :args (@t619)) % 0.96/1.15 (step @p166 :rule cong :premises (@p165 @p164) :args (@t620)) % 0.96/1.15 (step @p167 :rule refl :args (@t621)) % 0.96/1.15 (step @p168 :rule cong :premises (@p167 @p166) :args (@t622)) % 0.96/1.15 (step @p169 :rule refl :args (@t627)) % 0.96/1.15 (step @p170 :rule cong :premises (@p169 @p168) :args (@t628)) % 0.96/1.15 (step @p171 :rule refl :args (@t679)) % 0.96/1.15 (step @p172 :rule cong :premises (@p171 @p170) :args (@t680)) % 0.96/1.15 (step @p173 :rule refl :args (@t687)) % 0.96/1.15 (step @p174 :rule cong :premises (@p173 @p172) :args (@t688)) % 0.96/1.15 (step @p175 :rule refl :args (@t701)) % 0.96/1.15 (step @p176 :rule cong :premises (@p175 @p174) :args (@t702)) % 0.96/1.15 (step @p177 :rule refl :args (@t716)) % 0.96/1.15 (step @p178 :rule cong :premises (@p177 @p176) :args (@t717)) % 0.96/1.15 (step @p179 :rule refl :args (@t719)) % 0.96/1.15 (step @p180 :rule cong :premises (@p179 @p178) :args (@t720)) % 0.96/1.15 (step @p181 :rule refl :args (@t721)) % 0.96/1.15 (step @p182 :rule refl :args (@t50)) % 0.96/1.15 (step @p183 :rule cong :premises (@p182 @p181) :args ((= @t50 @t721))) % 0.96/1.15 (step @p184 :rule symm :premises (@p183)) % 0.96/1.15 (step @p185 :rule eq_resolve :premises (@p182 @p184)) % 0.96/1.15 (step @p186 :rule cong :premises (@p185 @p180) :args (@t722)) % 0.96/1.15 (step @p187 :rule refl :args (@t723)) % 0.96/1.15 (step @p188 :rule cong :premises (@p187 @p186) :args (@t724)) % 0.96/1.15 (step @p189 :rule refl :args (@t725)) % 0.96/1.15 (step @p190 :rule cong :premises (@p189 @p188) :args (@t726)) % 0.96/1.15 (step @p191 :rule refl :args (@t728)) % 0.96/1.15 (step @p192 :rule cong :premises (@p191 @p190) :args (@t729)) % 0.96/1.15 (step @p193 :rule cong :premises (@p157 @p192) :args (@t730)) % 0.96/1.15 (step @p194 :rule refl :args (@t732)) % 0.96/1.15 (step @p195 :rule cong :premises (@p194 @p193) :args (@t733)) % 0.96/1.15 (step @p196 :rule cong :premises (@p195) :args ((not @t733))) % 0.96/1.15 (step @p197 :rule bool-impl-true2 :args (@t465)) % 0.96/1.15 (step @p198 :rule bool-impl-true2 :args (@t465)) % 0.96/1.15 (step @p199 :rule refl :args (true)) % 0.96/1.15 (step @p200 :rule cong :premises (@p199 @p198) :args (@t734)) % 0.96/1.15 (step @p201 :rule trans :premises (@p200 @p197)) % 0.96/1.15 (step @p202 :rule refl :args (@t468)) % 0.96/1.15 (step @p203 :rule cong :premises (@p202 @p201) :args (@t735)) % 0.96/1.15 (step @p204 :rule refl :args (@t474)) % 0.96/1.15 (step @p205 :rule cong :premises (@p204 @p203) :args (@t736)) % 0.96/1.15 (step @p206 :rule bool-impl-true2 :args (@t736)) % 0.96/1.15 (step @p207 :rule trans :premises (@p206 @p205)) % 0.96/1.15 (step @p208 :rule bool-impl-true2 :args (@t736)) % 0.96/1.15 (step @p209 :rule cong :premises (@p199 @p208) :args (@t737)) % 0.96/1.15 (step @p210 :rule trans :premises (@p209 @p207)) % 0.96/1.15 (step @p211 :rule cong :premises (@p199 @p208) :args (@t737)) % 0.96/1.15 (step @p212 :rule cong :premises (@p199 @p211) :args (@t738)) % 0.96/1.15 (step @p213 :rule trans :premises (@p212 @p210)) % 0.96/1.15 (step @p214 :rule refl :args (@t477)) % 0.96/1.15 (step @p215 :rule cong :premises (@p214 @p213) :args (@t739)) % 0.96/1.15 (step @p216 :rule refl :args (@t479)) % 0.96/1.15 (step @p217 :rule cong :premises (@p216 @p215) :args (@t740)) % 0.96/1.15 (step @p218 :rule bool-impl-true2 :args (@t740)) % 0.96/1.15 (step @p219 :rule trans :premises (@p218 @p217)) % 0.96/1.15 (step @p220 :rule bool-impl-true2 :args (@t740)) % 0.96/1.15 (step @p221 :rule cong :premises (@p199 @p220) :args (@t741)) % 0.96/1.15 (step @p222 :rule trans :premises (@p221 @p219)) % 0.96/1.15 (step @p223 :rule cong :premises (@p199 @p220) :args (@t741)) % 0.96/1.15 (step @p224 :rule cong :premises (@p199 @p223) :args (@t742)) % 0.96/1.15 (step @p225 :rule trans :premises (@p224 @p222)) % 0.96/1.15 (step @p226 :rule cong :premises (@p199 @p223) :args (@t742)) % 0.96/1.15 (step @p227 :rule cong :premises (@p199 @p226) :args (@t743)) % 0.96/1.15 (step @p228 :rule trans :premises (@p227 @p225)) % 0.96/1.15 (step @p229 :rule cong :premises (@p80 @p228) :args (@t744)) % 0.96/1.15 (step @p230 :rule cong :premises (@p82 @p229) :args (@t745)) % 0.96/1.15 (step @p231 :rule cong :premises (@p84 @p230) :args (@t746)) % 0.96/1.15 (step @p232 :rule cong :premises (@p86 @p231) :args (@t747)) % 0.96/1.15 (step @p233 :rule cong :premises (@p88 @p232) :args (@t748)) % 0.96/1.15 (step @p234 :rule cong :premises (@p90 @p233) :args (@t749)) % 0.96/1.15 (step @p235 :rule cong :premises (@p92 @p234) :args (@t750)) % 0.96/1.15 (step @p236 :rule cong :premises (@p94 @p235) :args (@t751)) % 0.96/1.15 (step @p237 :rule cong :premises (@p96 @p236) :args (@t752)) % 0.96/1.15 (step @p238 :rule cong :premises (@p98 @p237) :args (@t753)) % 0.96/1.15 (step @p239 :rule cong :premises (@p100 @p238) :args (@t754)) % 0.96/1.15 (step @p240 :rule cong :premises (@p102 @p239) :args (@t755)) % 0.96/1.15 (step @p241 :rule cong :premises (@p104 @p240) :args (@t756)) % 0.96/1.15 (step @p242 :rule cong :premises (@p106 @p241) :args (@t757)) % 0.96/1.15 (step @p243 :rule cong :premises (@p108 @p242) :args (@t758)) % 0.96/1.15 (step @p244 :rule cong :premises (@p110 @p243) :args (@t759)) % 0.96/1.15 (step @p245 :rule cong :premises (@p110 @p244) :args (@t760)) % 0.96/1.15 (step @p246 :rule cong :premises (@p113 @p245) :args (@t761)) % 0.96/1.15 (step @p247 :rule cong :premises (@p115 @p246) :args (@t762)) % 0.96/1.15 (step @p248 :rule cong :premises (@p117 @p247) :args (@t763)) % 0.96/1.15 (step @p249 :rule cong :premises (@p117 @p248) :args (@t764)) % 0.96/1.15 (step @p250 :rule cong :premises (@p120 @p249) :args (@t765)) % 0.96/1.15 (step @p251 :rule refl :args (@t220)) % 0.96/1.15 (step @p252 :rule cong :premises (@p251 @p250) :args (@t766)) % 0.96/1.15 (step @p253 :rule cong :premises (@p141 @p252) :args (@t767)) % 0.96/1.15 (step @p254 :rule cong :premises (@p143 @p253) :args (@t768)) % 0.96/1.15 (step @p255 :rule cong :premises (@p145 @p254) :args (@t769)) % 0.96/1.15 (step @p256 :rule cong :premises (@p98 @p255) :args (@t770)) % 0.96/1.15 (step @p257 :rule cong :premises (@p148 @p256) :args (@t771)) % 0.96/1.15 (step @p258 :rule cong :premises (@p150 @p257) :args (@t772)) % 0.96/1.15 (step @p259 :rule cong :premises (@p150 @p258) :args (@t773)) % 0.96/1.15 (step @p260 :rule cong :premises (@p153 @p259) :args (@t774)) % 0.96/1.15 (step @p261 :rule cong :premises (@p155 @p260) :args (@t775)) % 0.96/1.15 (step @p262 :rule cong :premises (@p157 @p261) :args (@t776)) % 0.96/1.15 (step @p263 :rule cong :premises (@p157 @p262) :args (@t777)) % 0.96/1.15 (step @p264 :rule cong :premises (@p157 @p263) :args (@t778)) % 0.96/1.15 (step @p265 :rule cong :premises (@p161 @p264) :args (@t779)) % 0.96/1.15 (step @p266 :rule 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(step @p2875 :rule refl :args (@t1447)) % 0.96/1.16 (step @p2876 :rule cong :premises (@p2875 @p2874) :args ((=> @t1447 @t1472))) % 0.96/1.16 (assume-push @p3092 @t1447) % 0.96/1.16 (step @p2878 :rule instantiate :premises (@p3092) :args (@t1473)) % 0.96/1.16 (step-pop @p3093 :rule scope :premises (@p2878)) % 0.96/1.16 (step @p2879 :rule process_scope :premises (@p3093) :args (@t1472)) % 0.96/1.16 (step @p2881 :rule eq_resolve :premises (@p2879 @p2876)) % 0.96/1.16 (step @p2882 :rule implies_elim :premises (@p2881)) % 0.96/1.16 (step @p2883 :rule cnf_or_pos :args (@t1475)) % 0.96/1.16 (step @p2884 :rule reordering :premises (@p2883) :args ((or @t1463 @t1474 (not @t1475)))) % 0.96/1.16 (step @p2885 :rule refl :args (@t1480)) % 0.96/1.16 (step @p2886 :rule bool-double-not-elim :args (@t1467)) % 0.96/1.16 (step @p2887 :rule nary_cong :premises (@p2886 @p2885) :args ((or (not @t1474) @t1480))) % 0.96/1.16 (step @p2888 :rule refl :args (@t1478)) % 0.96/1.16 (step @p2889 :rule nary_cong :premises (@p2888 @p2872) :args (@t1481)) % 0.96/1.16 (step @p2890 :rule cong :premises (@p2889) :args (@t1482)) % 0.96/1.16 (step @p2891 :rule refl :args (@t1474)) % 0.96/1.16 (step @p2892 :rule cong :premises (@p2891 @p2890) :args ((=> @t1474 @t1482))) % 0.96/1.16 (assume-push @p3094 @t1474) % 0.96/1.16 (step @p2894 :rule skolemize :premises (@p3094)) % 0.96/1.16 (step-pop @p3095 :rule scope :premises (@p2894)) % 0.96/1.16 (step @p2895 :rule process_scope :premises (@p3095) :args (@t1482)) % 0.96/1.16 (step @p2897 :rule eq_resolve :premises (@p2895 @p2892)) % 0.96/1.16 (step @p2898 :rule implies_elim :premises (@p2897)) % 0.96/1.16 (step @p2899 :rule eq_resolve :premises (@p2898 @p2887)) % 0.96/1.16 (step @p2900 :rule bool-double-not-elim :args (@t1477)) % 0.96/1.16 (step @p2901 :rule refl :args (@t1479)) % 0.96/1.16 (step @p2902 :rule nary_cong :premises (@p2901 @p2900) :args ((or @t1479 (not @t1478)))) % 0.96/1.16 (step @p2903 :rule cnf_or_neg :args (@t1479 0)) % 0.96/1.16 (step @p2904 :rule eq_resolve :premises (@p2903 @p2902)) % 0.96/1.16 (step @p2905 :rule reordering :premises (@p2904) :args ((or @t1477 @t1479))) % 0.96/1.16 (step @p2906 :rule cnf_or_neg :args (@t1479 1)) % 0.96/1.16 (step @p2907 :rule eq-symm :args (@t1469 @t1477)) % 0.96/1.16 (step @p2908 :rule refl :args (@t1424)) % 0.96/1.16 (step @p2909 :rule cong :premises (@p2908 @p2907) :args ((=> @t1424 @t1483))) % 0.96/1.16 (assume-push @p3096 @t1424) % 0.96/1.16 (step @p2911 :rule instantiate :premises (@p2771) :args (@t1473)) % 0.96/1.16 (step-pop @p3097 :rule scope :premises (@p2911)) % 0.96/1.16 (step @p2912 :rule process_scope :premises (@p3097) :args (@t1483)) % 0.96/1.16 (step @p2914 :rule eq_resolve :premises (@p2912 @p2909)) % 0.96/1.16 (step @p2915 :rule implies_elim :premises (@p2914)) % 0.96/1.16 (step @p2916 :rule chain_m_resolution :premises (@p2915 @p2771) :args (@t1484 @t1438 (@list @t1424))) % 0.96/1.16 (step @p2917 :rule cnf_equiv_pos1 :args (@t1484)) % 0.96/1.16 (step @p2918 :rule reordering :premises (@p2917) :args ((or @t1478 @t1469 (not @t1484)))) % 0.96/1.16 (step @p2919 :rule cnf_or_pos :args (@t1485)) % 0.96/1.16 (step @p2920 :rule reordering :premises (@p2919) :args ((or @t1476 @t1470 (not @t1485)))) % 0.96/1.16 (step @p2921 :rule chain_m_resolution :premises (@p2920 @p2918 @p2916 @p2906 @p2905 @p2899 @p2884 @p2882 @p2871 @p2869 @p2868 @p2863 @p2857 @p2843 @p2824 @p2817) :args (@t1428 (@list false false true false true true false false false false false false true false true) (@list @t1469 @t1484 @t1476 @t1477 @t1479 @t1467 @t1485 @t1462 @t1466 @t1447 @t1449 @t1475 @t1451 @t1426 @t1430))) % 0.96/1.16 (step @p2922 :rule cnf_equiv_neg1 :args (@t1430)) % 0.96/1.16 (step @p2923 :rule reordering :premises (@p2922) :args ((or @t1429 @t1427 @t1430))) % 0.96/1.16 (step @p2924 :rule chain_m_resolution :premises (@p2923 @p2921 @p2817) :args (@t1427 (@list false true) (@list @t1428 @t1430))) % 0.96/1.16 (step @p2925 :rule refl :args (@t1492)) % 0.96/1.16 (step @p2926 :rule nary_cong :premises (@p2818 @p2925) :args ((or @t1443 @t1492))) % 0.96/1.16 (step @p2927 :rule eq-symm :args (@t1486 @t19)) % 0.96/1.16 (step @p2928 :rule nary_cong :premises (@p2844 @p2927) :args (@t1493)) % 0.96/1.16 (step @p2929 :rule cong :premises (@p2928) :args (@t1494)) % 0.96/1.16 (step @p2930 :rule cong :premises (@p2929) :args (@t1495)) % 0.96/1.16 (step @p2931 :rule refl :args (@t1490)) % 0.96/1.16 (step @p2932 :rule nary_cong :premises (@p2931 @p2930) :args (@t1496)) % 0.96/1.16 (step @p2933 :rule cong :premises (@p2932) :args (@t1497)) % 0.96/1.16 (step @p2934 :rule refl :args (@t1427)) % 0.96/1.16 (step @p2935 :rule cong :premises (@p2934 @p2933) :args ((=> @t1427 @t1497))) % 0.96/1.16 (assume-push @p3098 @t1427) % 0.96/1.16 (step @p2937 :rule skolemize :premises (@p3098)) % 0.96/1.16 (step-pop @p3099 :rule scope :premises (@p2937)) % 0.96/1.16 (step @p2938 :rule process_scope :premises (@p3099) :args (@t1497)) % 0.96/1.16 (step @p2940 :rule eq_resolve :premises (@p2938 @p2935)) % 0.96/1.16 (step @p2941 :rule implies_elim :premises (@p2940)) % 0.96/1.16 (step @p2942 :rule eq_resolve :premises (@p2941 @p2926)) % 0.96/1.16 (step @p2943 :rule chain_m_resolution :premises (@p2942 @p2924) :args (@t1492 @t1433 (@list @t1426))) % 0.96/1.16 (step @p2944 :rule bool-double-not-elim :args (@t1487)) % 0.96/1.16 (step @p2945 :rule refl :args (@t1491)) % 0.96/1.16 (step @p2946 :rule nary_cong :premises (@p2945 @p2944) :args ((or @t1491 (not @t1488)))) % 0.96/1.16 (step @p2947 :rule cnf_or_neg :args (@t1491 1)) % 0.96/1.16 (step @p2948 :rule eq_resolve :premises (@p2947 @p2946)) % 0.96/1.16 (step @p2949 :rule reordering :premises (@p2948) :args ((or @t1487 @t1491))) % 0.96/1.16 (step @p2950 :rule chain_m_resolution :premises (@p2949 @p2943) :args (@t1487 @t1433 @t1498)) % 0.96/1.16 (step @p2951 :rule eq-symm :args (@t1414 @t1486)) % 0.96/1.16 (step @p2952 :rule refl :args (@t1499)) % 0.96/1.16 (step @p2953 :rule nary_cong :premises (@p2952 @p2951) :args (@t1500)) % 0.96/1.16 (step @p2954 :rule refl :args (@t1487)) % 0.96/1.16 (step @p2955 :rule cong :premises (@p2954 @p2953) :args ((=> @t1487 @t1500))) % 0.96/1.16 (assume-push @p3100 @t1487) % 0.96/1.16 (step @p2957 :rule instantiate :premises (@p3100) :args ((@list @t1414))) % 0.96/1.16 (step-pop @p3101 :rule scope :premises (@p2957)) % 0.96/1.16 (step @p2958 :rule process_scope :premises (@p3101) :args (@t1500)) % 0.96/1.16 (step @p2960 :rule eq_resolve :premises (@p2958 @p2955)) % 0.96/1.16 (step @p2961 :rule implies_elim :premises (@p2960)) % 0.96/1.16 (step @p2962 :rule chain_m_resolution :premises (@p2961 @p2950) :args (@t1502 @t1438 @t1503)) % 0.96/1.16 (step @p2963 :rule cnf_or_pos :args (@t1502)) % 0.96/1.16 (step @p2964 :rule reordering :premises (@p2963) :args ((or @t1499 @t1501 (not @t1502)))) % 0.96/1.16 (step @p2965 :rule eq-symm :args (@t1416 @t1486)) % 0.96/1.16 (step @p2966 :rule refl :args (@t1504)) % 0.96/1.16 (step @p2967 :rule nary_cong :premises (@p2966 @p2965) :args (@t1505)) % 0.96/1.16 (step @p2968 :rule cong :premises (@p2954 @p2967) :args ((=> @t1487 @t1505))) % 0.96/1.16 (assume-push @p3102 @t1487) % 0.96/1.16 (step @p2970 :rule instantiate :premises (@p3102) :args ((@list @t1416))) % 0.96/1.16 (step-pop @p3103 :rule scope :premises (@p2970)) % 0.96/1.16 (step @p2971 :rule process_scope :premises (@p3103) :args (@t1505)) % 0.96/1.16 (step @p2973 :rule eq_resolve :premises (@p2971 @p2968)) % 0.96/1.16 (step @p2974 :rule implies_elim :premises (@p2973)) % 0.96/1.16 (step @p2975 :rule chain_m_resolution :premises (@p2974 @p2950) :args (@t1507 @t1438 @t1503)) % 0.96/1.16 (step @p2976 :rule cnf_or_pos :args (@t1507)) % 0.96/1.16 (step @p2977 :rule reordering :premises (@p2976) :args ((or @t1504 @t1506 (not @t1507)))) % 0.96/1.16 (step @p2978 :rule refl :args (@t1508)) % 0.96/1.16 (step @p2979 :rule refl :args (@t1509)) % 0.96/1.16 (step @p2980 :rule bool-double-not-elim :args (@t1417)) % 0.96/1.16 (step @p2981 :rule nary_cong :premises (@p2980 @p2979 @p2978) :args ((or (not @t1510) @t1509 @t1508))) % 0.96/1.16 (assume-push @p3104 @t1510) % 0.96/1.16 (assume-push @p3105 @t1501) % 0.96/1.16 (assume-push @p3106 @t1510) % 0.96/1.16 (assume-push @p3107 @t1501) % 0.96/1.16 (step @p2986 :rule false_intro :premises (@p3104)) % 0.96/1.16 (step @p2801 :rule refl :args (@t1416)) % 0.96/1.16 (step @p2987 :rule cong :premises (@p3105 @p2801) :args (@t1506)) % 0.96/1.16 (step @p2988 :rule trans :premises (@p2987 @p2986)) % 0.96/1.16 (step @p2989 :rule false_elim :premises (@p2988)) % 0.96/1.16 (step-pop @p3108 :rule scope :premises (@p2989)) % 0.96/1.16 (step-pop @p3109 :rule scope :premises (@p3108)) % 0.96/1.16 (step @p2990 :rule process_scope :premises (@p3109) :args (@t1508)) % 0.96/1.16 (step @p2993 :rule and_intro :premises (@p3104 @p3105)) % 0.96/1.16 (step @p2994 :rule modus_ponens :premises (@p2993 @p2990)) % 0.96/1.16 (step-pop @p3110 :rule scope :premises (@p2994)) % 0.96/1.16 (step-pop @p3111 :rule scope :premises (@p3110)) % 0.96/1.16 (step @p2995 :rule process_scope :premises (@p3111) :args (@t1508)) % 0.96/1.16 (step @p2998 :rule implies_elim :premises (@p2995)) % 0.96/1.16 (step @p2999 :rule cnf_and_neg :args (@t1511)) % 0.96/1.16 (step @p3000 :rule resolution :premises (@p2999 @p2998) :args (true @t1511)) % 0.96/1.16 (step @p3001 :rule eq_resolve :premises (@p3000 @p2981)) % 0.96/1.16 (step @p3002 :rule chain_m_resolution :premises (@p3001 @p2977 @p2975 @p2964 @p2962 @p2815 @p2795) :args ((or @t1512 @t1420 @t1419 @t1417) (@list false false false false false false) (@list @t1506 @t1507 @t1501 @t1502 @t1441 @t1439))) % 0.96/1.16 (step @p3003 :rule chain_m_resolution :premises (@p3002 @p2774 @p2760 @p2759 @p2754) :args (@t1421 (@list false true false false) (@list @t1437 @t1417 @t1418 @t1415))) % 0.96/1.16 (step @p3004 :rule refl :args (@t1513)) % 0.96/1.16 (step @p3005 :rule bool-double-not-elim :args (@t1413)) % 0.96/1.16 (step @p3006 :rule nary_cong :premises (@p3005 @p3004) :args ((or (not @t1514) @t1513))) % 0.96/1.16 (assume-push @p3112 @t1514) % 0.96/1.16 (step @p3008 :rule skolemize :premises (@p3112)) % 0.96/1.16 (step-pop @p3113 :rule scope :premises (@p3008)) % 0.96/1.16 (step @p3009 :rule process_scope :premises (@p3113) :args (@t1513)) % 0.96/1.16 (step @p3011 :rule implies_elim :premises (@p3009)) % 0.96/1.16 (step @p3012 :rule eq_resolve :premises (@p3011 @p3006)) % 0.96/1.16 (step @p3013 :rule chain_m_resolution :premises (@p3012 @p3003) :args (@t1413 @t1438 (@list @t1421))) % 0.96/1.16 (step @p3014 :rule cnf_or_pos :args (@t1517)) % 0.96/1.16 (step @p3015 :rule reordering :premises (@p3014) :args ((or @t1429 @t1514 @t1516 (not @t1517)))) % 0.96/1.16 (step @p3016 :rule chain_m_resolution :premises (@p3015 @p2921 @p3013 @p2748) :args (@t1516 @t1518 (@list @t1428 @t1413 @t1517))) % 0.96/1.16 (step @p3017 :rule refl :args (@t1515)) % 0.96/1.16 (step @p3018 :rule bool-double-not-elim :args (@t1409)) % 0.96/1.16 (step @p3019 :rule nary_cong :premises (@p3018 @p3017) :args ((or (not @t1519) @t1515))) % 0.96/1.16 (step @p3020 :rule bool-double-not-elim :args (@t1515)) % 0.96/1.16 (step @p3021 :rule refl :args (@t1519)) % 0.96/1.16 (step @p3022 :rule cong :premises (@p3021 @p3020) :args ((=> @t1519 @t1520))) % 0.96/1.16 (assume-push @p3114 @t1519) % 0.96/1.16 (step @p3024 :rule skolemize :premises (@p3114)) % 0.96/1.16 (step-pop @p3115 :rule scope :premises (@p3024)) % 0.96/1.16 (step @p3025 :rule process_scope :premises (@p3115) :args (@t1520)) % 0.96/1.16 (step @p3027 :rule eq_resolve :premises (@p3025 @p3022)) % 0.96/1.16 (step @p3028 :rule implies_elim :premises (@p3027)) % 0.96/1.16 (step @p3029 :rule eq_resolve :premises (@p3028 @p3019)) % 0.96/1.16 (step @p3030 :rule chain_m_resolution :premises (@p3029 @p3016) :args (@t1409 @t1433 (@list @t1515))) % 0.96/1.16 (step @p3031 :rule not_implies_elim1 :premises (@p2704)) % 0.96/1.16 (step @p3032 :rule instantiate :premises (@p3031) :args ((@list @t1422 @t1486))) % 0.96/1.16 (step @p3033 :rule bool-double-not-elim :args (@t1489)) % 0.96/1.16 (step @p3034 :rule nary_cong :premises (@p2945 @p3033) :args ((or @t1491 (not @t1490)))) % 0.96/1.16 (step @p3035 :rule cnf_or_neg :args (@t1491 0)) % 0.96/1.16 (step @p3036 :rule eq_resolve :premises (@p3035 @p3034)) % 0.96/1.16 (step @p3037 :rule reordering :premises (@p3036) :args ((or @t1489 @t1491))) % 0.96/1.16 (step @p3038 :rule chain_m_resolution :premises (@p3037 @p2943) :args (@t1489 @t1433 @t1498)) % 0.96/1.16 (step @p3039 :rule cnf_or_pos :args (@t1522)) % 0.96/1.16 (step @p3040 :rule reordering :premises (@p3039) :args ((or @t1521 @t1490 @t1488 (not @t1522)))) % 0.96/1.16 (step @p3041 :rule chain_m_resolution :premises (@p3040 @p3038 @p2950 @p3032) :args (@t1521 @t1518 (@list @t1489 @t1487 @t1522))) % 0.96/1.16 (assume-push @p3116 @t1437) % 0.96/1.16 (assume-push @p3117 @t1521) % 0.96/1.16 (assume-push @p3118 @t1521) % 0.96/1.16 (assume-push @p3119 @t1437) % 0.96/1.16 (step @p3046 :rule true_intro :premises (@p3117)) % 0.96/1.16 (step @p3047 :rule cong :premises (@p2774) :args (@t1523)) % 0.96/1.16 (step @p3048 :rule cong :premises (@p3047) :args ((_ @t1422 @t1523))) % 0.96/1.16 (step @p3049 :rule refl :args (@t1523)) % 0.96/1.16 (step @p3050 :rule ho_cong :premises (@p2774 @p3049)) % 0.96/1.16 (step @p3051 :rule trans :premises (@p3050 @p3048 @p3046)) % 0.96/1.16 (step @p3052 :rule true_elim :premises (@p3051)) % 0.96/1.16 (step-pop @p3120 :rule scope :premises (@p3052)) % 0.96/1.16 (step-pop @p3121 :rule scope :premises (@p3120)) % 0.96/1.16 (step @p3053 :rule process_scope :premises (@p3121) :args (@t1524)) % 0.96/1.16 (step @p3056 :rule and_intro :premises (@p3117 @p2774)) % 0.96/1.16 (step @p3057 :rule modus_ponens :premises (@p3056 @p3053)) % 0.96/1.16 (step-pop @p3122 :rule scope :premises (@p3057)) % 0.96/1.16 (step-pop @p3123 :rule scope :premises (@p3122)) % 0.96/1.16 (step @p3058 :rule process_scope :premises (@p3123) :args (@t1524)) % 0.96/1.16 (step @p3061 :rule implies_elim :premises (@p3058)) % 0.96/1.16 (step @p3062 :rule cnf_and_neg :args (@t1525)) % 0.96/1.16 (step @p3063 :rule resolution :premises (@p3062 @p3061) :args (true @t1525)) % 0.96/1.16 (step @p3064 :rule reordering :premises (@p3063) :args ((or @t1512 @t1524 (not @t1521)))) % 0.96/1.16 (step @p3065 :rule chain_m_resolution :premises (@p3064 @p2774 @p3041) :args (@t1524 @t1526 (@list @t1437 @t1521))) % 0.96/1.16 (assume-push @p3124 @t1409) % 0.96/1.16 (step @p3067 :rule instantiate :premises (@p3124) :args ((@list @t1523))) % 0.96/1.16 (step-pop @p3125 :rule scope :premises (@p3067)) % 0.96/1.16 (step @p3068 :rule process_scope :premises (@p3125) :args ((not @t1524))) % 0.96/1.16 (step @p3070 :rule implies_elim :premises (@p3068)) % 0.96/1.16 (step @p3071 false :rule chain_m_resolution :premises (@p3070 @p3065 @p3030) :args (false @t1526 (@list @t1524 @t1409))) % 0.96/1.16 ) % 0.96/1.16 % SZS output end Proof % 0.96/1.16 % cvc5 exiting %------------------------------------------------------------------------------