%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW474+6 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 09:05:05 AM UTC 2026 % Result : Theorem 34.88s 35.11s % Output : Proof 34.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW474+6 : TPTP v9.2.1. Released v5.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 22:09:04 EDT 2026 % 0.16/0.35 % CPUTime : % 0.46/0.79 %----Proving TF0_NAR, FOF, or CNF % 34.88/35.11 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.88/35.11 --- Run --no-e-matching --full-saturate-quant at 6... % 34.88/35.11 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.88/35.11 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.88/35.11 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.88/35.11 % SZS status Theorem % 34.88/35.11 % SZS output start Proof % 34.88/35.11 ( % 34.88/35.11 (declare-sort $$unsorted 0) % 34.88/35.11 (declare-const tptp.order (-> $$unsorted Bool)) % 34.88/35.11 (declare-const tptp.linorder (-> $$unsorted Bool)) % 34.88/35.11 (declare-const tptp.finite_finite_1 (-> $$unsorted Bool)) % 34.88/35.11 (declare-const tptp.y $$unsorted) % 34.88/35.11 (declare-const tptp.pn $$unsorted) % 34.88/35.11 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.preorder (-> $$unsorted Bool)) % 34.88/35.11 (declare-const tptp.fdisj $$unsorted) % 34.88/35.11 (declare-const tptp.fconj $$unsorted) % 34.88/35.11 (declare-const tptp.fNot $$unsorted) % 34.88/35.11 (declare-const tptp.fFalse $$unsorted) % 34.88/35.11 (declare-const tptp.fAll (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.distrib_lattice (-> $$unsorted Bool)) % 34.88/35.11 (declare-const tptp.bounded_lattice_bot (-> $$unsorted Bool)) % 34.88/35.11 (declare-const tptp.fun_upd (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.skip $$unsorted) % 34.88/35.11 (declare-const tptp.fequal (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.finite908156982e_idem (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.ord_less_eq (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.wt $$unsorted) % 34.88/35.11 (declare-const tptp.ordered_ab_group_add (-> $$unsorted Bool)) % 34.88/35.11 (declare-const tptp.semilattice_inf_inf (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.finite_finite (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.the_elem (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.finite_comp_fun_idem (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.override_on (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.insert (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.state $$unsorted) % 34.88/35.11 (declare-const tptp.combc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 34.88/35.11 (declare-const tptp.inj_on (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.finite1357897459simple (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.hoare_1632998903le_rec (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.pname $$unsorted) % 34.88/35.11 (declare-const tptp.semilattice_sup (-> $$unsorted Bool)) % 34.88/35.11 (declare-const tptp.combb (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.body $$unsorted) % 34.88/35.11 (declare-const tptp.bot (-> $$unsorted Bool)) % 34.88/35.11 (declare-const tptp.minus_minus (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.member (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.some (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.finite2073411215e_idem (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.collect (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.body_1 $$unsorted) % 34.88/35.11 (declare-const tptp.fa $$unsorted) % 34.88/35.11 (declare-const tptp.option_rec (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.ti (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.the_1 (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.combk (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.fimplies $$unsorted) % 34.88/35.11 (declare-const tptp.finite_folding_one (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.combi (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.none (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.fun (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.semi $$unsorted) % 34.88/35.11 (declare-const tptp.fTrue $$unsorted) % 34.88/35.11 (declare-const tptp.semilattice_inf (-> $$unsorted Bool)) % 34.88/35.11 (declare-const tptp.while $$unsorted) % 34.88/35.11 (declare-const tptp.com $$unsorted) % 34.88/35.11 (declare-const tptp.wT_bodies $$unsorted) % 34.88/35.11 (declare-const tptp.semilattice_sup_sup (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.minus (-> $$unsorted Bool)) % 34.88/35.11 (declare-const tptp.undefined (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.set (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.hoare_Mirabelle_MGT $$unsorted) % 34.88/35.11 (declare-const tptp.lattice (-> $$unsorted Bool)) % 34.88/35.11 (declare-const tptp.the (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.bounded_lattice (-> $$unsorted Bool)) % 34.88/35.11 (declare-const tptp.hoare_1656922687triple (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.partial_flat_lub (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.option (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.hoare_2027193591valids (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.bool $$unsorted) % 34.88/35.11 (declare-const tptp.hoare_279057269derivs (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.ord (-> $$unsorted Bool)) % 34.88/35.11 (declare-const tptp.hoare_1924220188gleton $$unsorted) % 34.88/35.11 (declare-const tptp.hoare_246368825triple (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.hoare_1312322281e_case (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.if (-> $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.ab_group_add (-> $$unsorted Bool)) % 34.88/35.11 (declare-const tptp.dom (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.evalc $$unsorted) % 34.88/35.11 (declare-const tptp.fold_graph (-> $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.combs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.88/35.11 (declare-const tptp.bot_bot (-> $$unsorted $$unsorted)) % 34.88/35.11 (define @t1 () (@var "X_a" $$unsorted)) % 34.88/35.11 (define @t2 () (@var "X_c" $$unsorted)) % 34.88/35.11 (define @t3 () (@var "X_b" $$unsorted)) % 34.88/35.11 (define @t4 () (tptp.combb @t3 @t2 @t1)) % 34.88/35.11 (define @t5 () (tptp.fun @t1 @t2)) % 34.88/35.11 (define @t6 () (tptp.fun @t1 @t3)) % 34.88/35.11 (define @t7 () (tptp.fun @t6 @t5)) % 34.88/35.11 (define @t8 () (tptp.fun @t3 @t2)) % 34.88/35.11 (define @t9 () (tptp.combc @t1 @t3 @t2)) % 34.88/35.11 (define @t10 () (tptp.fun @t3 @t5)) % 34.88/35.11 (define @t11 () (tptp.fun @t1 @t8)) % 34.88/35.11 (define @t12 () (@list @t1 @t3 @t2)) % 34.88/35.11 (define @t13 () (tptp.combi @t1)) % 34.88/35.11 (define @t14 () (tptp.fun @t1 @t1)) % 34.88/35.11 (define @t15 () (@list @t1)) % 34.88/35.11 (define @t16 () (tptp.combk @t1 @t3)) % 34.88/35.11 (define @t17 () (tptp.fun @t3 @t1)) % 34.88/35.11 (define @t18 () (tptp.fun @t1 @t17)) % 34.88/35.11 (define @t19 () (@list @t1 @t3)) % 34.88/35.11 (define @t20 () (tptp.combs @t1 @t3 @t2)) % 34.88/35.11 (define @t21 () (tptp.option tptp.com)) % 34.88/35.11 (define @t22 () (tptp.fun tptp.pname @t21)) % 34.88/35.11 (define @t23 () (tptp.fun tptp.pname tptp.com)) % 34.88/35.11 (define @t24 () (tptp.fun tptp.com tptp.com)) % 34.88/35.11 (define @t25 () (tptp.fun tptp.state tptp.bool)) % 34.88/35.11 (define @t26 () (tptp.finite_comp_fun_idem @t1 @t3)) % 34.88/35.11 (define @t27 () (tptp.fun @t3 @t3)) % 34.88/35.11 (define @t28 () (tptp.fun @t1 @t27)) % 34.88/35.11 (define @t29 () (tptp.finite_finite @t1)) % 34.88/35.11 (define @t30 () (tptp.fun @t1 tptp.bool)) % 34.88/35.11 (define @t31 () (tptp.fun @t30 tptp.bool)) % 34.88/35.11 (define @t32 () (tptp.finite1357897459simple @t1 @t3)) % 34.88/35.11 (define @t33 () (tptp.fun @t3 tptp.bool)) % 34.88/35.11 (define @t34 () (tptp.fun @t33 @t1)) % 34.88/35.11 (define @t35 () (tptp.fun @t34 tptp.bool)) % 34.88/35.11 (define @t36 () (tptp.fun @t17 @t35)) % 34.88/35.11 (define @t37 () (tptp.fun @t1 @t36)) % 34.88/35.11 (define @t38 () (tptp.fun @t1 @t14)) % 34.88/35.11 (define @t39 () (tptp.fun @t38 @t37)) % 34.88/35.11 (define @t40 () (tptp.finite908156982e_idem @t1 @t3)) % 34.88/35.11 (define @t41 () (tptp.finite_folding_one @t1)) % 34.88/35.11 (define @t42 () (tptp.fun @t30 @t1)) % 34.88/35.11 (define @t43 () (tptp.fun @t42 tptp.bool)) % 34.88/35.11 (define @t44 () (tptp.fun @t38 @t43)) % 34.88/35.11 (define @t45 () (tptp.finite2073411215e_idem @t1)) % 34.88/35.11 (define @t46 () (tptp.fun_upd @t1 @t3)) % 34.88/35.11 (define @t47 () (tptp.fun @t3 @t6)) % 34.88/35.11 (define @t48 () (tptp.fun @t1 @t47)) % 34.88/35.11 (define @t49 () (tptp.inj_on @t1 @t3)) % 34.88/35.11 (define @t50 () (tptp.override_on @t1 @t3)) % 34.88/35.11 (define @t51 () (tptp.fun @t30 @t6)) % 34.88/35.11 (define @t52 () (tptp.fun @t6 @t51)) % 34.88/35.11 (define @t53 () (tptp.minus_minus @t3)) % 34.88/35.11 (define @t54 () (tptp.minus @t3)) % 34.88/35.11 (define @t55 () (@list @t3)) % 34.88/35.11 (define @t56 () (tptp.the_1 @t1)) % 34.88/35.11 (define @t57 () (tptp.undefined @t1)) % 34.88/35.11 (define @t58 () (tptp.hoare_1656922687triple tptp.state)) % 34.88/35.11 (define @t59 () (tptp.fun tptp.com @t58)) % 34.88/35.11 (define @t60 () (tptp.hoare_279057269derivs @t1)) % 34.88/35.11 (define @t61 () (tptp.hoare_1656922687triple @t1)) % 34.88/35.11 (define @t62 () (tptp.fun @t61 tptp.bool)) % 34.88/35.11 (define @t63 () (tptp.fun @t62 tptp.bool)) % 34.88/35.11 (define @t64 () (tptp.fun @t62 @t63)) % 34.88/35.11 (define @t65 () (tptp.hoare_2027193591valids @t1)) % 34.88/35.11 (define @t66 () (tptp.hoare_246368825triple @t1)) % 34.88/35.11 (define @t67 () (tptp.fun @t1 @t25)) % 34.88/35.11 (define @t68 () (tptp.fun @t67 @t61)) % 34.88/35.11 (define @t69 () (tptp.fun tptp.com @t68)) % 34.88/35.11 (define @t70 () (tptp.fun @t67 @t69)) % 34.88/35.11 (define @t71 () (tptp.hoare_1312322281e_case @t3 @t1)) % 34.88/35.11 (define @t72 () (tptp.hoare_1656922687triple @t3)) % 34.88/35.11 (define @t73 () (tptp.fun @t72 @t1)) % 34.88/35.11 (define @t74 () (tptp.fun @t3 @t25)) % 34.88/35.11 (define @t75 () (tptp.fun @t74 @t1)) % 34.88/35.11 (define @t76 () (tptp.fun tptp.com @t75)) % 34.88/35.11 (define @t77 () (tptp.fun @t74 @t76)) % 34.88/35.11 (define @t78 () (tptp.fun @t77 @t73)) % 34.88/35.11 (define @t79 () (@list @t3 @t1)) % 34.88/35.11 (define @t80 () (tptp.hoare_1632998903le_rec @t3 @t1)) % 34.88/35.11 (define @t81 () (tptp.if @t1)) % 34.88/35.11 (define @t82 () (tptp.fun tptp.bool @t38)) % 34.88/35.11 (define @t83 () (tptp.semilattice_inf_inf @t1)) % 34.88/35.11 (define @t84 () (tptp.semilattice_inf @t1)) % 34.88/35.11 (define @t85 () (tptp.semilattice_sup_sup @t1)) % 34.88/35.11 (define @t86 () (tptp.semilattice_sup @t1)) % 34.88/35.11 (define @t87 () (tptp.dom @t3 @t1)) % 34.88/35.11 (define @t88 () (tptp.option @t1)) % 34.88/35.11 (define @t89 () (tptp.fun @t3 @t88)) % 34.88/35.11 (define @t90 () (tptp.fun tptp.state @t25)) % 34.88/35.11 (define @t91 () (tptp.fold_graph @t1 @t3)) % 34.88/35.11 (define @t92 () (tptp.fun @t30 @t33)) % 34.88/35.11 (define @t93 () (tptp.fun @t3 @t92)) % 34.88/35.11 (define @t94 () (tptp.none @t3)) % 34.88/35.11 (define @t95 () (tptp.option @t3)) % 34.88/35.11 (define @t96 () (tptp.some @t1)) % 34.88/35.11 (define @t97 () (tptp.fun @t1 @t88)) % 34.88/35.11 (define @t98 () (tptp.option_rec @t1 @t3)) % 34.88/35.11 (define @t99 () (tptp.fun @t95 @t1)) % 34.88/35.11 (define @t100 () (tptp.fun @t17 @t99)) % 34.88/35.11 (define @t101 () (tptp.set @t1)) % 34.88/35.11 (define @t102 () (tptp.the @t1)) % 34.88/35.11 (define @t103 () (tptp.bot_bot @t1)) % 34.88/35.11 (define @t104 () (tptp.bot @t1)) % 34.88/35.11 (define @t105 () (tptp.ord_less_eq @t1)) % 34.88/35.11 (define @t106 () (tptp.fun @t1 @t30)) % 34.88/35.11 (define @t107 () (tptp.ord @t1)) % 34.88/35.11 (define @t108 () (tptp.partial_flat_lub @t1)) % 34.88/35.11 (define @t109 () (tptp.collect @t1)) % 34.88/35.11 (define @t110 () (tptp.fun @t30 @t30)) % 34.88/35.11 (define @t111 () (tptp.image @t1 @t3)) % 34.88/35.11 (define @t112 () (tptp.insert @t1)) % 34.88/35.11 (define @t113 () (tptp.fun @t1 @t110)) % 34.88/35.11 (define @t114 () (tptp.the_elem @t1)) % 34.88/35.11 (define @t115 () (tptp.fAll @t1)) % 34.88/35.11 (define @t116 () (tptp.fun tptp.bool tptp.bool)) % 34.88/35.11 (define @t117 () (tptp.fun tptp.bool @t116)) % 34.88/35.11 (define @t118 () (tptp.fequal @t1)) % 34.88/35.11 (define @t119 () (@var "B_2_1" $$unsorted)) % 34.88/35.11 (define @t120 () (@var "B_1_1" $$unsorted)) % 34.88/35.11 (define @t121 () (tptp.hAPP @t1 @t2 @t120 @t119)) % 34.88/35.11 (define @t122 () (@list @t1 @t2 @t120 @t119)) % 34.88/35.11 (define @t123 () (tptp.member @t1)) % 34.88/35.11 (define @t124 () (tptp.fun @t1 @t31)) % 34.88/35.11 (define @t125 () (tptp.fun @t58 tptp.bool)) % 34.88/35.11 (define @t126 () (tptp.bot_bot @t62)) % 34.88/35.11 (define @t127 () (@var "G_1" $$unsorted)) % 34.88/35.11 (define @t128 () (tptp.hAPP @t62 @t63 @t60 @t127)) % 34.88/35.11 (define @t129 () (@var "Ts" $$unsorted)) % 34.88/35.11 (define @t130 () (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 @t129))) % 34.88/35.11 (define @t131 () (tptp.ord_less_eq @t62)) % 34.88/35.11 (define @t132 () (tptp.hAPP @t62 @t63 @t131 @t129)) % 34.88/35.11 (define @t133 () (@var "Ts_1" $$unsorted)) % 34.88/35.11 (define @t134 () (@var "G_2" $$unsorted)) % 34.88/35.11 (define @t135 () (tptp.hBOOL (tptp.hAPP @t62 tptp.bool (tptp.hAPP @t62 @t63 @t60 @t134) @t129))) % 34.88/35.11 (define @t136 () (@list @t1 @t127 @t134 @t129)) % 34.88/35.11 (define @t137 () (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 @t134))) % 34.88/35.11 (define @t138 () (=> @t137 @t130)) % 34.88/35.11 (define @t139 () (forall @t136 (=> @t135 @t138))) % 34.88/35.11 (define @t140 () (@var "T_3" $$unsorted)) % 34.88/35.11 (define @t141 () (tptp.insert @t61)) % 34.88/35.11 (define @t142 () (tptp.fun @t62 @t62)) % 34.88/35.11 (define @t143 () (tptp.hAPP @t61 @t142 @t141 @t140)) % 34.88/35.11 (define @t144 () (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 (tptp.hAPP @t62 @t62 @t143 @t129)))) % 34.88/35.11 (define @t145 () (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 (tptp.hAPP @t62 @t62 @t143 @t126)))) % 34.88/35.11 (define @t146 () (tptp.bot_bot @t125)) % 34.88/35.11 (define @t147 () (@var "Pn_1" $$unsorted)) % 34.88/35.11 (define @t148 () (tptp.hAPP tptp.pname tptp.com tptp.body_1 @t147)) % 34.88/35.11 (define @t149 () (tptp.insert @t58)) % 34.88/35.11 (define @t150 () (tptp.fun @t125 @t125)) % 34.88/35.11 (define @t151 () (tptp.hAPP @t58 @t150 @t149 (tptp.hAPP tptp.com @t58 tptp.hoare_Mirabelle_MGT @t148))) % 34.88/35.11 (define @t152 () (tptp.hoare_279057269derivs tptp.state)) % 34.88/35.11 (define @t153 () (tptp.fun @t125 tptp.bool)) % 34.88/35.11 (define @t154 () (tptp.hAPP @t125 @t153 @t152 @t127)) % 34.88/35.11 (define @t155 () (tptp.the tptp.com)) % 34.88/35.11 (define @t156 () (tptp.hAPP @t21 tptp.com @t155 (tptp.hAPP tptp.pname @t21 tptp.body @t147))) % 34.88/35.11 (define @t157 () (@var "A_1" $$unsorted)) % 34.88/35.11 (define @t158 () (tptp.ord_less_eq @t30)) % 34.88/35.11 (define @t159 () (tptp.fun @t30 @t31)) % 34.88/35.11 (define @t160 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t157))) % 34.88/35.11 (define @t161 () (@list @t1 @t157)) % 34.88/35.11 (define @t162 () (@var "Fa" $$unsorted)) % 34.88/35.11 (define @t163 () (@var "H" $$unsorted)) % 34.88/35.11 (define @t164 () (tptp.finite_finite @t3)) % 34.88/35.11 (define @t165 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t162))) % 34.88/35.11 (define @t166 () (tptp.bot_bot @t30)) % 34.88/35.11 (define @t167 () (@var "A_3" $$unsorted)) % 34.88/35.11 (define @t168 () (tptp.hAPP @t1 @t110 @t112 @t167)) % 34.88/35.11 (define @t169 () (tptp.hAPP @t30 @t30 @t168 @t157)) % 34.88/35.11 (define @t170 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t169))) % 34.88/35.11 (define @t171 () (@list @t1 @t167 @t157)) % 34.88/35.11 (define @t172 () (@var "Q_1" $$unsorted)) % 34.88/35.11 (define @t173 () (@var "P_1" $$unsorted)) % 34.88/35.11 (define @t174 () (tptp.combb tptp.bool @t116 @t1)) % 34.88/35.11 (define @t175 () (tptp.fun @t1 @t116)) % 34.88/35.11 (define @t176 () (tptp.fun @t30 @t175)) % 34.88/35.11 (define @t177 () (tptp.hAPP @t117 @t176 @t174 tptp.fconj)) % 34.88/35.11 (define @t178 () (tptp.combs @t1 tptp.bool tptp.bool)) % 34.88/35.11 (define @t179 () (tptp.hAPP @t30 @t30 @t109 (tptp.hAPP @t30 @t30 (tptp.hAPP @t175 @t110 @t178 (tptp.hAPP @t30 @t175 @t177 @t173)) @t172))) % 34.88/35.11 (define @t180 () (tptp.hAPP @t30 @t30 @t109 @t172)) % 34.88/35.11 (define @t181 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t180))) % 34.88/35.11 (define @t182 () (tptp.hAPP @t30 @t30 @t109 @t173)) % 34.88/35.11 (define @t183 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t182))) % 34.88/35.11 (define @t184 () (@list @t1 @t172 @t173)) % 34.88/35.11 (define @t185 () (tptp.bot_bot @t33)) % 34.88/35.11 (define @t186 () (@var "C_1" $$unsorted)) % 34.88/35.11 (define @t187 () (tptp.insert @t3)) % 34.88/35.11 (define @t188 () (tptp.fun @t33 @t33)) % 34.88/35.11 (define @t189 () (tptp.hAPP @t30 @t33 (tptp.hAPP @t6 @t92 @t111 (tptp.hAPP @t3 @t6 (tptp.combk @t3 @t1) @t186)) @t157)) % 34.88/35.11 (define @t190 () (= @t189 (tptp.hAPP @t33 @t33 (tptp.hAPP @t3 @t188 @t187 @t186) @t185))) % 34.88/35.11 (define @t191 () (tptp.ti @t30 @t157)) % 34.88/35.11 (define @t192 () (= @t191 @t166)) % 34.88/35.11 (define @t193 () (not @t192)) % 34.88/35.11 (define @t194 () (@var "X_2" $$unsorted)) % 34.88/35.11 (define @t195 () (tptp.hAPP @t1 @t31 @t123 @t194)) % 34.88/35.11 (define @t196 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t195 @t157))) % 34.88/35.11 (define @t197 () (@var "F" $$unsorted)) % 34.88/35.11 (define @t198 () (tptp.hAPP @t89 @t33 @t87 @t197)) % 34.88/35.11 (define @t199 () (tptp.hAPP @t3 @t188 @t187 @t194)) % 34.88/35.11 (define @t200 () (@var "Y_2" $$unsorted)) % 34.88/35.11 (define @t201 () (tptp.hAPP @t1 @t88 @t96 @t200)) % 34.88/35.11 (define @t202 () (@list @t3 @t1 @t197 @t194 @t200)) % 34.88/35.11 (define @t203 () (@var "B" $$unsorted)) % 34.88/35.11 (define @t204 () (tptp.hBOOL (tptp.hAPP @t33 tptp.bool @t164 @t203))) % 34.88/35.11 (define @t205 () (tptp.hAPP @t6 @t92 @t111 @t197)) % 34.88/35.11 (define @t206 () (tptp.hAPP @t30 @t33 @t205 @t157)) % 34.88/35.11 (define @t207 () (tptp.ord_less_eq @t33)) % 34.88/35.11 (define @t208 () (tptp.fun @t33 tptp.bool)) % 34.88/35.11 (define @t209 () (tptp.hAPP @t33 @t208 @t207 @t203)) % 34.88/35.11 (define @t210 () (tptp.hAPP @t1 @t110 @t112 @t194)) % 34.88/35.11 (define @t211 () (tptp.hAPP @t30 @t30 @t210 @t166)) % 34.88/35.11 (define @t212 () (tptp.hAPP @t30 @t31 @t158 @t157)) % 34.88/35.11 (define @t213 () (tptp.hAPP tptp.com @t58 tptp.hoare_Mirabelle_MGT @t186)) % 34.88/35.11 (define @t214 () (tptp.hAPP @t125 @t125 (tptp.hAPP @t58 @t150 @t149 @t213) @t146)) % 34.88/35.11 (define @t215 () (tptp.hAPP @t125 @t153 @t152 @t146)) % 34.88/35.11 (define @t216 () (tptp.hBOOL (tptp.hAPP @t125 tptp.bool @t215 @t214))) % 34.88/35.11 (define @t217 () (tptp.hBOOL (tptp.hAPP tptp.com tptp.bool tptp.wt @t186))) % 34.88/35.11 (define @t218 () (=> @t217 @t216)) % 34.88/35.11 (define @t219 () (tptp.hBOOL tptp.wT_bodies)) % 34.88/35.11 (define @t220 () (=> @t219 @t218)) % 34.88/35.11 (define @t221 () (tptp.hBOOL tptp.hoare_1924220188gleton)) % 34.88/35.11 (define @t222 () (@list @t186)) % 34.88/35.11 (define @t223 () (forall @t222 (=> @t221 @t220))) % 34.88/35.11 (define @t224 () (tptp.hAPP @t1 @t31 @t123 @t167)) % 34.88/35.11 (define @t225 () (@list @t1 @t167)) % 34.88/35.11 (define @t226 () (@var "B_1" $$unsorted)) % 34.88/35.11 (define @t227 () (tptp.hAPP @t1 @t110 @t112 @t226)) % 34.88/35.11 (define @t228 () (tptp.hAPP @t30 @t30 @t227 @t203)) % 34.88/35.11 (define @t229 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t224 @t228))) % 34.88/35.11 (define @t230 () (tptp.ti @t1 @t226)) % 34.88/35.11 (define @t231 () (tptp.ti @t1 @t167)) % 34.88/35.11 (define @t232 () (= @t231 @t230)) % 34.88/35.11 (define @t233 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t224 @t203))) % 34.88/35.11 (define @t234 () (@list @t1 @t226 @t167 @t203)) % 34.88/35.11 (define @t235 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t224 @t157))) % 34.88/35.11 (define @t236 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t224 (tptp.hAPP @t30 @t30 @t227 @t157)))) % 34.88/35.11 (define @t237 () (@list @t1 @t167 @t226 @t157)) % 34.88/35.11 (define @t238 () (tptp.ti @t30 @t203)) % 34.88/35.11 (define @t239 () (= @t191 @t238)) % 34.88/35.11 (define @t240 () (tptp.hAPP @t30 @t31 @t158 @t203)) % 34.88/35.11 (define @t241 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t240 @t157))) % 34.88/35.11 (define @t242 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t212 @t203))) % 34.88/35.11 (define @t243 () (@list @t1 @t157 @t203)) % 34.88/35.11 (define @t244 () (tptp.hAPP @t1 @t31 @t123 @t186)) % 34.88/35.11 (define @t245 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t244 @t203))) % 34.88/35.11 (define @t246 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t244 @t157))) % 34.88/35.11 (define @t247 () (=> @t246 @t245)) % 34.88/35.11 (define @t248 () (@list @t1 @t186 @t157 @t203)) % 34.88/35.11 (define @t249 () (tptp.image @t3 @t1)) % 34.88/35.11 (define @t250 () (tptp.fun @t33 @t30)) % 34.88/35.11 (define @t251 () (tptp.hAPP @t17 @t250 @t249 @t197)) % 34.88/35.11 (define @t252 () (tptp.hAPP @t33 @t30 @t251 @t157)) % 34.88/35.11 (define @t253 () (tptp.hAPP @t1 @t31 @t123 @t226)) % 34.88/35.11 (define @t254 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t253 @t252))) % 34.88/35.11 (define @t255 () (tptp.member @t3)) % 34.88/35.11 (define @t256 () (tptp.hBOOL (tptp.hAPP @t33 tptp.bool (tptp.hAPP @t3 @t208 @t255 @t194) @t157))) % 34.88/35.11 (define @t257 () (tptp.hAPP @t3 @t1 @t197 @t194)) % 34.88/35.11 (define @t258 () (not @t235)) % 34.88/35.11 (define @t259 () (@var "X_1" $$unsorted)) % 34.88/35.11 (define @t260 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t173 @t259))) % 34.88/35.11 (define @t261 () (@list @t259)) % 34.88/35.11 (define @t262 () (forall @t261 (not @t260))) % 34.88/35.11 (define @t263 () (@list @t1 @t173)) % 34.88/35.11 (define @t264 () (tptp.hAPP @t1 @t31 @t123 @t259)) % 34.88/35.11 (define @t265 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t264 @t157))) % 34.88/35.11 (define @t266 () (not @t265)) % 34.88/35.11 (define @t267 () (tptp.hAPP @t30 @t30 @t210 @t203)) % 34.88/35.11 (define @t268 () (tptp.hAPP @t30 @t30 @t210 @t157)) % 34.88/35.11 (define @t269 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t195 @t203))) % 34.88/35.11 (define @t270 () (not @t269)) % 34.88/35.11 (define @t271 () (not @t196)) % 34.88/35.11 (define @t272 () (@list @t1 @t203 @t194 @t157)) % 34.88/35.11 (define @t273 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t157 @t194))) % 34.88/35.11 (define @t274 () (tptp.ti @t1 @t194)) % 34.88/35.11 (define @t275 () (tptp.ti @t1 @t200)) % 34.88/35.11 (define @t276 () (tptp.hAPP @t1 @t110 @t112 @t200)) % 34.88/35.11 (define @t277 () (tptp.hAPP @t30 @t30 @t276 @t157)) % 34.88/35.11 (define @t278 () (@list @t1 @t194 @t157)) % 34.88/35.11 (define @t279 () (tptp.hAPP @t106 @t106 (tptp.combc @t1 @t1 tptp.bool) @t118)) % 34.88/35.11 (define @t280 () (tptp.hAPP @t1 @t30 @t279 @t167)) % 34.88/35.11 (define @t281 () (tptp.combb tptp.bool tptp.bool @t1)) % 34.88/35.11 (define @t282 () (tptp.hAPP @t116 @t110 @t281 tptp.fNot)) % 34.88/35.11 (define @t283 () (@list @t1 @t167 @t173)) % 34.88/35.11 (define @t284 () (tptp.hAPP @t124 @t110 (tptp.combc @t1 @t30 tptp.bool) @t123)) % 34.88/35.11 (define @t285 () (tptp.hAPP @t30 @t30 @t284 @t203)) % 34.88/35.11 (define @t286 () (tptp.hAPP @t117 @t176 @t174 tptp.fdisj)) % 34.88/35.11 (define @t287 () (tptp.hAPP @t30 @t30 @t168 @t203)) % 34.88/35.11 (define @t288 () (@list @t1 @t167 @t203)) % 34.88/35.11 (define @t289 () (@var "C" $$unsorted)) % 34.88/35.11 (define @t290 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t212 @t289))) % 34.88/35.11 (define @t291 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t240 @t289))) % 34.88/35.11 (define @t292 () (@list @t1 @t289 @t157 @t203)) % 34.88/35.11 (define @t293 () (@list @t1 @t194 @t157 @t203)) % 34.88/35.11 (define @t294 () (tptp.hAPP @t1 @t3 @t197 @t194)) % 34.88/35.11 (define @t295 () (tptp.ti @t3 @t226)) % 34.88/35.11 (define @t296 () (@list @t3 @t1 @t197 @t194 @t157)) % 34.88/35.11 (define @t297 () (tptp.hAPP @t3 @t1 @t197 @t259)) % 34.88/35.11 (define @t298 () (@var "Z" $$unsorted)) % 34.88/35.11 (define @t299 () (tptp.ti @t1 @t298)) % 34.88/35.11 (define @t300 () (tptp.hAPP @t3 @t208 @t255 @t259)) % 34.88/35.11 (define @t301 () (tptp.hBOOL (tptp.hAPP @t33 tptp.bool @t300 @t157))) % 34.88/35.11 (define @t302 () (tptp.hAPP @t30 @t30 @t109 (tptp.hAPP @t30 @t30 (tptp.hAPP @t175 @t110 @t178 (tptp.hAPP @t30 @t175 @t286 @t173)) @t172))) % 34.88/35.11 (define @t303 () (@list @t1 @t173 @t172)) % 34.88/35.11 (define @t304 () (@var "Xa" $$unsorted)) % 34.88/35.11 (define @t305 () (tptp.hAPP @t1 @t110 @t112 @t259)) % 34.88/35.11 (define @t306 () (@var "Y_3" $$unsorted)) % 34.88/35.11 (define @t307 () (tptp.image @t1 @t1)) % 34.88/35.11 (define @t308 () (@var "G" $$unsorted)) % 34.88/35.11 (define @t309 () (tptp.fun @t2 @t1)) % 34.88/35.11 (define @t310 () (tptp.fun @t2 @t3)) % 34.88/35.11 (define @t311 () (tptp.fun @t2 tptp.bool)) % 34.88/35.11 (define @t312 () (tptp.hAPP @t30 @t30 @t227 @t166)) % 34.88/35.11 (define @t313 () (tptp.hAPP @t30 @t30 @t168 @t166)) % 34.88/35.11 (define @t314 () (= @t230 @t231)) % 34.88/35.11 (define @t315 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t253 @t313))) % 34.88/35.11 (define @t316 () (@list @t1 @t226 @t167)) % 34.88/35.11 (define @t317 () (tptp.ti @t1 @t186)) % 34.88/35.11 (define @t318 () (@var "D" $$unsorted)) % 34.88/35.11 (define @t319 () (tptp.ti @t1 @t318)) % 34.88/35.11 (define @t320 () (= @t231 @t317)) % 34.88/35.11 (define @t321 () (= (tptp.ti @t33 @t157) @t185)) % 34.88/35.11 (define @t322 () (@list @t3 @t1 @t197 @t157)) % 34.88/35.11 (define @t323 () (@list @t1 @t3 @t197 @t157)) % 34.88/35.11 (define @t324 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t203))) % 34.88/35.11 (define @t325 () (@var "D_1" $$unsorted)) % 34.88/35.11 (define @t326 () (tptp.hAPP @t30 @t31 @t158 @t289)) % 34.88/35.11 (define @t327 () (tptp.ti @t6 @t197)) % 34.88/35.11 (define @t328 () (tptp.hAPP @t1 @t3 @t308 @t259)) % 34.88/35.11 (define @t329 () (tptp.hAPP @t1 @t3 @t197 @t259)) % 34.88/35.11 (define @t330 () (= @t329 @t328)) % 34.88/35.11 (define @t331 () (@list @t1 @t3 @t197 @t308)) % 34.88/35.11 (define @t332 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t212 @t267))) % 34.88/35.11 (define @t333 () (tptp.hAPP @t33 @t30 @t251 @t203)) % 34.88/35.11 (define @t334 () (tptp.hAPP @t30 @t33 @t205 @t203)) % 34.88/35.11 (define @t335 () (tptp.hAPP @t33 @t208 @t207 @t206)) % 34.88/35.11 (define @t336 () (@list @t3 @t1 @t197 @t157 @t203)) % 34.88/35.11 (define @t337 () (@var "AA" $$unsorted)) % 34.88/35.11 (define @t338 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t240 @t252))) % 34.88/35.11 (define @t339 () (@list @t1 @t3 @t203 @t197 @t157)) % 34.88/35.11 (define @t340 () (@var "M" $$unsorted)) % 34.88/35.11 (define @t341 () (tptp.hAPP @t1 @t88 @t96 @t226)) % 34.88/35.11 (define @t342 () (tptp.hAPP @t30 @t30 @t109 (tptp.hAPP @t30 @t30 (tptp.hAPP @t175 @t110 @t178 (tptp.hAPP @t30 @t175 @t177 @t280)) @t173))) % 34.88/35.11 (define @t343 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t173 @t167))) % 34.88/35.11 (define @t344 () (not @t343)) % 34.88/35.11 (define @t345 () (@list @t1 @t173 @t167)) % 34.88/35.11 (define @t346 () (tptp.hAPP @t1 @t30 @t118 @t167)) % 34.88/35.11 (define @t347 () (tptp.hAPP @t30 @t30 @t109 (tptp.hAPP @t30 @t30 (tptp.hAPP @t175 @t110 @t178 (tptp.hAPP @t30 @t175 @t177 @t346)) @t173))) % 34.88/35.11 (define @t348 () (tptp.hAPP @t30 @t30 @t109 @t280)) % 34.88/35.11 (define @t349 () (tptp.hBOOL (tptp.hAPP @t125 tptp.bool @t154 @t214))) % 34.88/35.11 (define @t350 () (tptp.fun tptp.pname tptp.bool)) % 34.88/35.11 (define @t351 () (tptp.hAPP @t22 @t350 (tptp.dom tptp.pname tptp.com) tptp.body)) % 34.88/35.11 (define @t352 () (tptp.member tptp.pname)) % 34.88/35.11 (define @t353 () (tptp.fun @t350 tptp.bool)) % 34.88/35.11 (define @t354 () (@var "B_2" $$unsorted)) % 34.88/35.11 (define @t355 () (tptp.hBOOL (tptp.hAPP tptp.com tptp.bool tptp.wt @t354))) % 34.88/35.11 (define @t356 () (tptp.some tptp.com)) % 34.88/35.11 (define @t357 () (@var "Pn" $$unsorted)) % 34.88/35.11 (define @t358 () (tptp.hAPP tptp.pname @t21 tptp.body @t357)) % 34.88/35.11 (define @t359 () (= @t358 (tptp.hAPP tptp.com @t21 @t356 @t354))) % 34.88/35.11 (define @t360 () (=> @t359 @t355)) % 34.88/35.11 (define @t361 () (@list @t357 @t354)) % 34.88/35.11 (define @t362 () (forall @t361 (=> @t219 @t360))) % 34.88/35.11 (define @t363 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t173 @t162))) % 34.88/35.11 (define @t364 () (@var "F_1" $$unsorted)) % 34.88/35.11 (define @t365 () (@var "A_5" $$unsorted)) % 34.88/35.11 (define @t366 () (tptp.hAPP @t1 @t110 @t112 @t365)) % 34.88/35.11 (define @t367 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t173 @t364))) % 34.88/35.11 (define @t368 () (tptp.hAPP @t1 @t31 @t123 @t365)) % 34.88/35.11 (define @t369 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t364))) % 34.88/35.11 (define @t370 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t173 @t166))) % 34.88/35.11 (define @t371 () (@var "Y_1" $$unsorted)) % 34.88/35.11 (define @t372 () (@var "P" $$unsorted)) % 34.88/35.11 (define @t373 () (tptp.hAPP tptp.pname @t21 tptp.body @t372)) % 34.88/35.11 (define @t374 () (@list @t371)) % 34.88/35.11 (define @t375 () (tptp.hAPP tptp.pname tptp.com tptp.body_1 @t372)) % 34.88/35.11 (define @t376 () (@list @t372)) % 34.88/35.11 (define @t377 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t264 @t203))) % 34.88/35.11 (define @t378 () (@list @t1 @t203 @t157)) % 34.88/35.11 (define @t379 () (@var "C_3" $$unsorted)) % 34.88/35.11 (define @t380 () (tptp.finite_finite tptp.pname)) % 34.88/35.11 (define @t381 () (=> (not (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t264 @t364))) (=> @t367 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t173 (tptp.hAPP @t30 @t30 @t305 @t364)))))) % 34.88/35.11 (define @t382 () (@list @t259 @t364)) % 34.88/35.11 (define @t383 () (@list @t1 @t173 @t162)) % 34.88/35.11 (define @t384 () (@var "A_4" $$unsorted)) % 34.88/35.11 (define @t385 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t384))) % 34.88/35.11 (define @t386 () (tptp.ti @t30 @t167)) % 34.88/35.11 (define @t387 () (tptp.fun @t1 @t33)) % 34.88/35.11 (define @t388 () (tptp.hAPP @t30 @t30 @t284 @t157)) % 34.88/35.11 (define @t389 () (tptp.hAPP @t175 @t110 @t178 (tptp.hAPP @t30 @t175 @t177 @t388))) % 34.88/35.11 (define @t390 () (@var "Pname_1" $$unsorted)) % 34.88/35.11 (define @t391 () (@var "Pname_2" $$unsorted)) % 34.88/35.11 (define @t392 () (tptp.hAPP tptp.pname tptp.com tptp.body_1 @t390)) % 34.88/35.11 (define @t393 () (@var "Procs" $$unsorted)) % 34.88/35.11 (define @t394 () (tptp.fun tptp.pname @t58)) % 34.88/35.11 (define @t395 () (tptp.hAPP @t59 (tptp.fun @t23 @t394) (tptp.combb tptp.com @t58 tptp.pname) tptp.hoare_Mirabelle_MGT)) % 34.88/35.11 (define @t396 () (tptp.image tptp.pname @t58)) % 34.88/35.11 (define @t397 () (tptp.fun @t350 @t125)) % 34.88/35.11 (define @t398 () (tptp.hAPP @t394 @t397 @t396 (tptp.hAPP @t23 @t394 @t395 tptp.body_1))) % 34.88/35.11 (define @t399 () (tptp.hAPP @t350 @t125 @t398 @t393)) % 34.88/35.11 (define @t400 () (tptp.hAPP @t22 @t23 (tptp.hAPP (tptp.fun @t21 tptp.com) (tptp.fun @t22 @t23) (tptp.combb @t21 tptp.com tptp.pname) @t155) tptp.body)) % 34.88/35.11 (define @t401 () (tptp.hAPP @t394 @t397 @t396 (tptp.hAPP @t23 @t394 @t395 @t400))) % 34.88/35.11 (define @t402 () (@var "B_4" $$unsorted)) % 34.88/35.11 (define @t403 () (tptp.some @t3)) % 34.88/35.11 (define @t404 () (tptp.hAPP @t1 @t95 @t340 @t167)) % 34.88/35.11 (define @t405 () (tptp.dom @t1 @t3)) % 34.88/35.11 (define @t406 () (tptp.fun @t1 @t95)) % 34.88/35.11 (define @t407 () (tptp.hAPP @t406 @t30 @t405 @t340)) % 34.88/35.11 (define @t408 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t224 @t407))) % 34.88/35.11 (define @t409 () (@list @t1 @t3 @t167 @t340)) % 34.88/35.11 (define @t410 () (@list @t1 @t194)) % 34.88/35.11 (define @t411 () (@var "X" $$unsorted)) % 34.88/35.11 (define @t412 () (tptp.hAPP @t1 @t30 @t105 @t411)) % 34.88/35.11 (define @t413 () (@list @t411)) % 34.88/35.11 (define @t414 () (tptp.preorder @t1)) % 34.88/35.11 (define @t415 () (@var "B_3" $$unsorted)) % 34.88/35.11 (define @t416 () (tptp.ti @t1 @t411)) % 34.88/35.11 (define @t417 () (tptp.hAPP @t67 @t69 @t66 @t173)) % 34.88/35.11 (define @t418 () (tptp.hAPP @t61 @t142 @t141 (tptp.hAPP @t67 @t61 (tptp.hAPP tptp.com @t68 @t417 @t148) @t172))) % 34.88/35.11 (define @t419 () (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 (tptp.hAPP @t62 @t62 @t418 @t126)))) % 34.88/35.11 (define @t420 () (tptp.hAPP @t62 @t62 (tptp.hAPP @t61 @t142 @t141 (tptp.hAPP @t67 @t61 (tptp.hAPP tptp.com @t68 @t417 @t156) @t172)) @t126)) % 34.88/35.11 (define @t421 () (tptp.semilattice_sup_sup @t30)) % 34.88/35.11 (define @t422 () (tptp.hAPP @t30 @t110 @t421 @t157)) % 34.88/35.11 (define @t423 () (tptp.hAPP @t30 @t30 @t422 @t203)) % 34.88/35.11 (define @t424 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t244 @t423))) % 34.88/35.11 (define @t425 () (not @t245)) % 34.88/35.11 (define @t426 () (@list @t1 @t157 @t186 @t203)) % 34.88/35.11 (define @t427 () (@var "Fun2_2" $$unsorted)) % 34.88/35.11 (define @t428 () (@var "Fun2_1" $$unsorted)) % 34.88/35.11 (define @t429 () (@var "Com_1" $$unsorted)) % 34.88/35.11 (define @t430 () (@var "Com_2" $$unsorted)) % 34.88/35.11 (define @t431 () (= @t430 @t429)) % 34.88/35.11 (define @t432 () (@var "Fun1_2" $$unsorted)) % 34.88/35.11 (define @t433 () (@var "Fun1_1" $$unsorted)) % 34.88/35.11 (define @t434 () (@list @t1 @t203 @t186 @t157)) % 34.88/35.11 (define @t435 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t264 @t423))) % 34.88/35.11 (define @t436 () (@list @t1 @t173 @t157 @t203)) % 34.88/35.11 (define @t437 () (tptp.hAPP @t30 @t110 @t421 @t203)) % 34.88/35.11 (define @t438 () (tptp.hAPP @t30 @t30 @t437 @t289)) % 34.88/35.11 (define @t439 () (tptp.hAPP @t30 @t30 @t422 @t438)) % 34.88/35.11 (define @t440 () (@list @t1 @t157 @t203 @t289)) % 34.88/35.11 (define @t441 () (tptp.hAPP @t30 @t30 @t422 @t289)) % 34.88/35.11 (define @t442 () (tptp.hAPP @t30 @t30 @t437 @t157)) % 34.88/35.11 (define @t443 () (= @t238 @t166)) % 34.88/35.11 (define @t444 () (@list @t1 @t203)) % 34.88/35.11 (define @t445 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 @t162) @t127)))) % 34.88/35.11 (define @t446 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t127))) % 34.88/35.11 (define @t447 () (@list @t1 @t127 @t162)) % 34.88/35.11 (define @t448 () (@list @t1 @t157 @t167 @t203)) % 34.88/35.11 (define @t449 () (tptp.hAPP @t30 @t110 @t421 @t289)) % 34.88/35.11 (define @t450 () (tptp.hAPP @t30 @t31 @t158 @t423)) % 34.88/35.11 (define @t451 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t240 @t325))) % 34.88/35.11 (define @t452 () (@list @t1 @t203 @t325 @t157 @t289)) % 34.88/35.11 (define @t453 () (= @t423 @t238)) % 34.88/35.11 (define @t454 () (tptp.hAPP @t33 @t33 (tptp.hAPP @t33 @t188 (tptp.semilattice_sup_sup @t33) @t157) @t203)) % 34.88/35.11 (define @t455 () (tptp.fun tptp.pname @t69)) % 34.88/35.11 (define @t456 () (tptp.fun tptp.pname @t67)) % 34.88/35.11 (define @t457 () (tptp.fun tptp.pname @t68)) % 34.88/35.11 (define @t458 () (tptp.hAPP @t455 (tptp.fun @t23 @t457) (tptp.combs tptp.pname tptp.com @t68) (tptp.hAPP @t456 @t455 (tptp.hAPP @t70 (tptp.fun @t456 @t455) (tptp.combb @t67 @t69 tptp.pname) @t66) @t173))) % 34.88/35.11 (define @t459 () (tptp.combs tptp.pname @t67 @t61)) % 34.88/35.11 (define @t460 () (tptp.fun tptp.pname @t61)) % 34.88/35.11 (define @t461 () (tptp.fun @t456 @t460)) % 34.88/35.11 (define @t462 () (tptp.image tptp.pname @t61)) % 34.88/35.11 (define @t463 () (tptp.fun @t350 @t62)) % 34.88/35.11 (define @t464 () (tptp.hAPP @t350 @t62 (tptp.hAPP @t460 @t463 @t462 (tptp.hAPP @t456 @t460 (tptp.hAPP @t457 @t461 @t459 (tptp.hAPP @t23 @t457 @t458 tptp.body_1)) @t172)) @t393)) % 34.88/35.11 (define @t465 () (tptp.hAPP @t350 @t62 (tptp.hAPP @t460 @t463 @t462 (tptp.hAPP @t456 @t460 (tptp.hAPP @t457 @t461 @t459 (tptp.hAPP @t23 @t457 @t458 @t400)) @t172)) @t393)) % 34.88/35.11 (define @t466 () (tptp.hAPP @t62 @t62 (tptp.hAPP @t62 @t142 (tptp.semilattice_sup_sup @t62) @t127) @t464)) % 34.88/35.11 (define @t467 () (tptp.hBOOL (tptp.hAPP @t62 tptp.bool (tptp.hAPP @t62 @t63 @t60 @t466) @t465))) % 34.88/35.11 (define @t468 () (@list @t1 @t127 @t173 @t172 @t393)) % 34.88/35.11 (define @t469 () (@var "Y" $$unsorted)) % 34.88/35.11 (define @t470 () (tptp.hAPP @t1 @t30 @t105 @t469)) % 34.88/35.11 (define @t471 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t470 @t411))) % 34.88/35.11 (define @t472 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t412 @t469))) % 34.88/35.11 (define @t473 () (@list @t411 @t469)) % 34.88/35.11 (define @t474 () (tptp.linorder @t1)) % 34.88/35.11 (define @t475 () (@var "Z_1" $$unsorted)) % 34.88/35.11 (define @t476 () (tptp.hAPP @t1 @t30 @t105 @t475)) % 34.88/35.11 (define @t477 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t476 @t411))) % 34.88/35.11 (define @t478 () (@list @t475 @t469 @t411)) % 34.88/35.11 (define @t479 () (tptp.order @t1)) % 34.88/35.11 (define @t480 () (tptp.ti @t1 @t469)) % 34.88/35.11 (define @t481 () (= @t416 @t480)) % 34.88/35.11 (define @t482 () (@list @t469 @t411)) % 34.88/35.11 (define @t483 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t412 @t475))) % 34.88/35.11 (define @t484 () (@list @t475 @t411 @t469)) % 34.88/35.11 (define @t485 () (@var "A_6" $$unsorted)) % 34.88/35.11 (define @t486 () (@var "C_2" $$unsorted)) % 34.88/35.11 (define @t487 () (tptp.hAPP @t1 @t30 @t105 @t486)) % 34.88/35.11 (define @t488 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t487 @t485))) % 34.88/35.11 (define @t489 () (tptp.ti @t1 @t354)) % 34.88/35.11 (define @t490 () (tptp.hAPP @t1 @t30 @t105 @t354)) % 34.88/35.11 (define @t491 () (tptp.hAPP @t1 @t30 @t105 @t485)) % 34.88/35.11 (define @t492 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t491 @t486))) % 34.88/35.11 (define @t493 () (@list @t486 @t485 @t354)) % 34.88/35.11 (define @t494 () (tptp.ti @t1 @t485)) % 34.88/35.11 (define @t495 () (= @t274 @t275)) % 34.88/35.11 (define @t496 () (tptp.hAPP @t1 @t30 @t105 @t194)) % 34.88/35.11 (define @t497 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t496 @t200))) % 34.88/35.11 (define @t498 () (tptp.hAPP @t1 @t30 @t105 @t200)) % 34.88/35.11 (define @t499 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t498 @t194))) % 34.88/35.11 (define @t500 () (@list @t194 @t200)) % 34.88/35.11 (define @t501 () (@var "A_7" $$unsorted)) % 34.88/35.11 (define @t502 () (tptp.combb tptp.bool @t116 tptp.state)) % 34.88/35.11 (define @t503 () (tptp.fun tptp.state @t116)) % 34.88/35.11 (define @t504 () (tptp.fun @t25 @t503)) % 34.88/35.11 (define @t505 () (tptp.fun @t1 @t503)) % 34.88/35.11 (define @t506 () (tptp.hAPP @t67 @t505 (tptp.hAPP @t504 (tptp.fun @t67 @t505) (tptp.combb @t25 @t503 @t1) (tptp.hAPP @t117 @t504 @t502 tptp.fconj)) @t173)) % 34.88/35.11 (define @t507 () (tptp.fun tptp.bool @t25)) % 34.88/35.11 (define @t508 () (tptp.fun @t1 @t507)) % 34.88/35.11 (define @t509 () (tptp.hAPP tptp.com @t68 @t417 @t186)) % 34.88/35.11 (define @t510 () (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 (tptp.hAPP @t62 @t62 (tptp.hAPP @t61 @t142 @t141 (tptp.hAPP @t67 @t61 @t509 @t172)) @t126)))) % 34.88/35.11 (define @t511 () (@list @t485)) % 34.88/35.11 (define @t512 () (tptp.hAPP @t1 @t30 @t105 @t167)) % 34.88/35.11 (define @t513 () (tptp.ord_less_eq @t3)) % 34.88/35.11 (define @t514 () (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t6 (tptp.fun @t6 tptp.bool) (tptp.ord_less_eq @t6) @t197) @t308))) % 34.88/35.11 (define @t515 () (tptp.ord @t3)) % 34.88/35.11 (define @t516 () (tptp.hAPP @t3 @t33 @t513 @t329)) % 34.88/35.11 (define @t517 () (forall @t261 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t516 @t328)))) % 34.88/35.11 (define @t518 () (@list @t197 @t308)) % 34.88/35.11 (define @t519 () (@var "U_1" $$unsorted)) % 34.88/35.11 (define @t520 () (@var "C0_1" $$unsorted)) % 34.88/35.11 (define @t521 () (tptp.hoare_246368825triple @t3)) % 34.88/35.11 (define @t522 () (tptp.fun @t74 @t72)) % 34.88/35.11 (define @t523 () (tptp.fun tptp.com @t522)) % 34.88/35.11 (define @t524 () (tptp.fun @t1 @t523)) % 34.88/35.11 (define @t525 () (tptp.fun @t1 @t74)) % 34.88/35.11 (define @t526 () (tptp.hAPP (tptp.fun @t74 @t523) (tptp.fun @t525 @t524) (tptp.combb @t74 @t523 @t1) @t521)) % 34.88/35.11 (define @t527 () (tptp.combs @t1 tptp.com @t522)) % 34.88/35.11 (define @t528 () (tptp.fun @t1 @t522)) % 34.88/35.11 (define @t529 () (tptp.fun @t1 tptp.com)) % 34.88/35.11 (define @t530 () (tptp.fun @t529 @t528)) % 34.88/35.11 (define @t531 () (tptp.combs @t1 @t74 @t72)) % 34.88/35.11 (define @t532 () (tptp.fun @t1 @t72)) % 34.88/35.11 (define @t533 () (tptp.fun @t525 @t532)) % 34.88/35.11 (define @t534 () (tptp.image @t1 @t72)) % 34.88/35.11 (define @t535 () (tptp.fun @t72 tptp.bool)) % 34.88/35.11 (define @t536 () (tptp.fun @t30 @t535)) % 34.88/35.11 (define @t537 () (tptp.hAPP @t535 (tptp.fun @t535 tptp.bool) (tptp.hoare_279057269derivs @t3) @t127)) % 34.88/35.11 (define @t538 () (@var "Q_2" $$unsorted)) % 34.88/35.11 (define @t539 () (@var "P_2" $$unsorted)) % 34.88/35.11 (define @t540 () (tptp.bot_bot @t535)) % 34.88/35.11 (define @t541 () (@var "P_3" $$unsorted)) % 34.88/35.11 (define @t542 () (tptp.hAPP @t1 tptp.com @t520 @t541)) % 34.88/35.11 (define @t543 () (tptp.insert @t72)) % 34.88/35.11 (define @t544 () (tptp.fun @t535 @t535)) % 34.88/35.11 (define @t545 () (@var "Z_3" $$unsorted)) % 34.88/35.11 (define @t546 () (tptp.hAPP @t1 @t25 @t172 @t545)) % 34.88/35.11 (define @t547 () (tptp.combk @t25 @t1)) % 34.88/35.11 (define @t548 () (@var "S_3" $$unsorted)) % 34.88/35.11 (define @t549 () (tptp.fequal tptp.state)) % 34.88/35.11 (define @t550 () (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t1 @t25 @t173 @t545) @t548))) % 34.88/35.11 (define @t551 () (@list @t545 @t548)) % 34.88/35.11 (define @t552 () (tptp.hAPP @t62 @t63 @t65 @t127)) % 34.88/35.11 (define @t553 () (tptp.hAPP tptp.com @t68 (tptp.hAPP @t67 @t69 @t66 @t539) @t186)) % 34.88/35.11 (define @t554 () (tptp.hoare_246368825triple tptp.state)) % 34.88/35.11 (define @t555 () (tptp.fun @t90 @t58)) % 34.88/35.11 (define @t556 () (tptp.fun tptp.com @t555)) % 34.88/35.11 (define @t557 () (tptp.hAPP @t125 @t125 (tptp.hAPP @t58 @t150 @t149 (tptp.hAPP @t90 @t58 (tptp.hAPP tptp.com @t555 (tptp.hAPP @t90 @t556 @t554 @t173) @t186) @t172)) @t146)) % 34.88/35.11 (define @t558 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t203 @t194))) % 34.88/35.11 (define @t559 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t423 @t194))) % 34.88/35.11 (define @t560 () (@list @t1 @t157 @t203 @t194)) % 34.88/35.11 (define @t561 () (not @t558)) % 34.88/35.11 (define @t562 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t172 @t194))) % 34.88/35.11 (define @t563 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t30 @t31 @t158 @t173) @t172))) % 34.88/35.11 (define @t564 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t173 @t194))) % 34.88/35.11 (define @t565 () (@list @t1 @t203 @t157 @t194)) % 34.88/35.11 (define @t566 () (@var "S" $$unsorted)) % 34.88/35.11 (define @t567 () (@var "R_1" $$unsorted)) % 34.88/35.11 (define @t568 () (tptp.hAPP @t30 @t30 @t284 @t566)) % 34.88/35.11 (define @t569 () (tptp.hAPP @t30 @t30 @t284 @t567)) % 34.88/35.11 (define @t570 () (@list @t1 @t567 @t566 @t259)) % 34.88/35.11 (define @t571 () (@var "S_4" $$unsorted)) % 34.88/35.11 (define @t572 () (@var "Z_4" $$unsorted)) % 34.88/35.11 (define @t573 () (@var "F1" $$unsorted)) % 34.88/35.11 (define @t574 () (tptp.hAPP @t74 @t1 (tptp.hAPP tptp.com @t75 (tptp.hAPP @t74 @t76 @t573 @t433) @t430) @t428)) % 34.88/35.11 (define @t575 () (tptp.hAPP @t74 @t72 (tptp.hAPP tptp.com @t522 (tptp.hAPP @t74 @t523 @t521 @t433) @t430) @t428)) % 34.88/35.11 (define @t576 () (@list @t3 @t1 @t573 @t433 @t430 @t428)) % 34.88/35.11 (define @t577 () (tptp.hAPP @t1 @t88 @t96 @t194)) % 34.88/35.11 (define @t578 () (@var "Xo" $$unsorted)) % 34.88/35.11 (define @t579 () (tptp.fun @t6 @t6)) % 34.88/35.11 (define @t580 () (@list @t197 @t308 @t259)) % 34.88/35.11 (define @t581 () (tptp.lattice @t3)) % 34.88/35.11 (define @t582 () (tptp.hAPP @t3 @t1 @t308 @t194)) % 34.88/35.11 (define @t583 () (tptp.fun @t17 @t17)) % 34.88/35.11 (define @t584 () (@list @t197 @t308 @t194)) % 34.88/35.11 (define @t585 () (tptp.lattice @t1)) % 34.88/35.11 (define @t586 () (@var "T_5" $$unsorted)) % 34.88/35.11 (define @t587 () (= @t548 @t586)) % 34.88/35.11 (define @t588 () (tptp.hAPP @t1 @t14 @t85 @t469)) % 34.88/35.11 (define @t589 () (tptp.hAPP @t1 @t1 @t588 @t475)) % 34.88/35.11 (define @t590 () (tptp.hAPP @t1 @t14 @t85 @t411)) % 34.88/35.11 (define @t591 () (tptp.hAPP @t1 @t1 @t590 @t589)) % 34.88/35.11 (define @t592 () (tptp.hAPP @t1 @t1 @t590 @t469)) % 34.88/35.11 (define @t593 () (@list @t411 @t469 @t475)) % 34.88/35.11 (define @t594 () (forall @t593 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t85 @t592) @t475) @t591))) % 34.88/35.11 (define @t595 () (tptp.hAPP @t1 @t14 @t85 @t354)) % 34.88/35.11 (define @t596 () (tptp.hAPP @t1 @t14 @t85 @t485)) % 34.88/35.11 (define @t597 () (tptp.hAPP @t1 @t1 @t596 (tptp.hAPP @t1 @t1 @t595 @t486))) % 34.88/35.11 (define @t598 () (tptp.hAPP @t1 @t1 @t596 @t354)) % 34.88/35.11 (define @t599 () (@list @t485 @t354 @t486)) % 34.88/35.11 (define @t600 () (tptp.hAPP @t1 @t1 @t590 @t475)) % 34.88/35.11 (define @t601 () (forall @t593 (= @t591 (tptp.hAPP @t1 @t1 @t588 @t600)))) % 34.88/35.11 (define @t602 () (@list @t354 @t485 @t486)) % 34.88/35.11 (define @t603 () (forall @t473 (= (tptp.hAPP @t1 @t1 @t590 @t592) @t592))) % 34.88/35.11 (define @t604 () (@list @t485 @t354)) % 34.88/35.11 (define @t605 () (tptp.hAPP @t1 @t1 @t588 @t411)) % 34.88/35.11 (define @t606 () (forall @t473 (= @t592 @t605))) % 34.88/35.11 (define @t607 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t490 @t411))) % 34.88/35.11 (define @t608 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t491 @t411))) % 34.88/35.11 (define @t609 () (tptp.hAPP @t1 @t30 @t105 @t598)) % 34.88/35.11 (define @t610 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t609 @t411))) % 34.88/35.11 (define @t611 () (@list @t485 @t354 @t411)) % 34.88/35.11 (define @t612 () (@var "D_2" $$unsorted)) % 34.88/35.11 (define @t613 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t490 @t612))) % 34.88/35.11 (define @t614 () (@list @t354 @t612 @t485 @t486)) % 34.88/35.11 (define @t615 () (@list @t354 @t485 @t411)) % 34.88/35.11 (define @t616 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t412 @t598))) % 34.88/35.11 (define @t617 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t412 @t354))) % 34.88/35.11 (define @t618 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t412 @t485))) % 34.88/35.11 (define @t619 () (@list @t354 @t411 @t485)) % 34.88/35.11 (define @t620 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t496 @t298))) % 34.88/35.11 (define @t621 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t85 @t194) @t200)) % 34.88/35.11 (define @t622 () (@list @t194 @t200 @t298)) % 34.88/35.11 (define @t623 () (forall @t482 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t470 @t592)))) % 34.88/35.11 (define @t624 () (forall @t473 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t412 @t592)))) % 34.88/35.11 (define @t625 () (tptp.bounded_lattice_bot @t1)) % 34.88/35.11 (define @t626 () (tptp.hAPP @t30 @t1 @t162 @t203)) % 34.88/35.11 (define @t627 () (tptp.hAPP @t30 @t1 @t162 @t157)) % 34.88/35.11 (define @t628 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t197 @t627) @t626)) % 34.88/35.11 (define @t629 () (tptp.hAPP @t30 @t1 @t162 @t423)) % 34.88/35.11 (define @t630 () (= @t629 @t628)) % 34.88/35.11 (define @t631 () (not @t443)) % 34.88/35.11 (define @t632 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t38 @t43 @t45 @t197) @t162))) % 34.88/35.11 (define @t633 () (@list @t1 @t203 @t157 @t197 @t162)) % 34.88/35.11 (define @t634 () (tptp.hAPP @t1 @t14 @t197 @t194)) % 34.88/35.11 (define @t635 () (tptp.hAPP @t1 @t1 @t634 @t627)) % 34.88/35.11 (define @t636 () (tptp.hAPP @t30 @t1 @t162 @t268)) % 34.88/35.11 (define @t637 () (=> @t193 (= @t636 @t635))) % 34.88/35.11 (define @t638 () (@list @t1 @t194 @t157 @t197 @t162)) % 34.88/35.11 (define @t639 () (= (tptp.hAPP @t1 @t1 @t634 @t194) @t274)) % 34.88/35.11 (define @t640 () (@list @t1 @t194 @t197 @t162)) % 34.88/35.11 (define @t641 () (@var "Pname" $$unsorted)) % 34.88/35.11 (define @t642 () (tptp.hAPP tptp.pname tptp.com tptp.body_1 @t641)) % 34.88/35.11 (define @t643 () (@list @t641)) % 34.88/35.11 (define @t644 () (@var "N_1" $$unsorted)) % 34.88/35.11 (define @t645 () (tptp.ti @t30 @t644)) % 34.88/35.11 (define @t646 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t197 @t259) @t371)) % 34.88/35.11 (define @t647 () (@list @t259 @t371)) % 34.88/35.11 (define @t648 () (tptp.hAPP tptp.com tptp.com (tptp.hAPP @t25 @t24 tptp.while @t226) @t186)) % 34.88/35.11 (define @t649 () (tptp.fun @t25 @t25)) % 34.88/35.11 (define @t650 () (tptp.combs tptp.state tptp.bool tptp.bool)) % 34.88/35.11 (define @t651 () (tptp.fun @t1 @t649)) % 34.88/35.11 (define @t652 () (tptp.fun @t503 @t649)) % 34.88/35.11 (define @t653 () (tptp.hAPP @t30 @t106 (tptp.hAPP @t113 (tptp.fun @t30 @t106) (tptp.combc @t1 @t30 @t30) @t112) @t166)) % 34.88/35.11 (define @t654 () (@var "X_3" $$unsorted)) % 34.88/35.11 (define @t655 () (tptp.hBOOL (tptp.hAPP tptp.com tptp.bool tptp.wt @t648))) % 34.88/35.11 (define @t656 () (@list @t226 @t186)) % 34.88/35.11 (define @t657 () (@var "C2" $$unsorted)) % 34.88/35.11 (define @t658 () (@var "C1" $$unsorted)) % 34.88/35.11 (define @t659 () (tptp.hBOOL (tptp.hAPP tptp.com tptp.bool tptp.wt @t658))) % 34.88/35.11 (define @t660 () (tptp.hAPP tptp.com tptp.com (tptp.hAPP tptp.com @t24 tptp.semi @t658) @t657)) % 34.88/35.11 (define @t661 () (@var "Fun" $$unsorted)) % 34.88/35.11 (define @t662 () (tptp.hAPP tptp.com tptp.com (tptp.hAPP @t25 @t24 tptp.while @t661) @t429)) % 34.88/35.11 (define @t663 () (@var "Com2_3" $$unsorted)) % 34.88/35.11 (define @t664 () (@var "Com1_3" $$unsorted)) % 34.88/35.11 (define @t665 () (tptp.hAPP tptp.com tptp.com (tptp.hAPP tptp.com @t24 tptp.semi @t664) @t663)) % 34.88/35.11 (define @t666 () (@var "Com2_2" $$unsorted)) % 34.88/35.11 (define @t667 () (@var "Com1_2" $$unsorted)) % 34.88/35.11 (define @t668 () (@var "Fun_1" $$unsorted)) % 34.88/35.11 (define @t669 () (tptp.hAPP tptp.com tptp.com (tptp.hAPP @t25 @t24 tptp.while @t668) @t430)) % 34.88/35.11 (define @t670 () (@list @t661 @t429)) % 34.88/35.11 (define @t671 () (@var "Com2_1" $$unsorted)) % 34.88/35.11 (define @t672 () (@var "Com1_1" $$unsorted)) % 34.88/35.11 (define @t673 () (tptp.hAPP tptp.com tptp.com (tptp.hAPP tptp.com @t24 tptp.semi @t672) @t671)) % 34.88/35.11 (define @t674 () (@var "C0" $$unsorted)) % 34.88/35.11 (define @t675 () (tptp.hAPP tptp.com tptp.com (tptp.hAPP tptp.com @t24 tptp.semi @t674) @t658)) % 34.88/35.11 (define @t676 () (@var "Com2" $$unsorted)) % 34.88/35.11 (define @t677 () (@var "Com1" $$unsorted)) % 34.88/35.11 (define @t678 () (tptp.hAPP tptp.com tptp.com (tptp.hAPP tptp.com @t24 tptp.semi @t677) @t676)) % 34.88/35.11 (define @t679 () (@list @t677 @t676)) % 34.88/35.11 (define @t680 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t38 @t43 @t41 @t197) @t162))) % 34.88/35.11 (define @t681 () (tptp.hAPP @t30 @t1 @t56 (tptp.hAPP @t30 @t30 (tptp.hAPP @t175 @t110 @t178 (tptp.hAPP @t30 @t175 @t177 (tptp.hAPP @t30 @t30 (tptp.hAPP @t116 @t110 @t281 (tptp.hAPP tptp.bool @t116 tptp.fimplies @t173)) (tptp.hAPP @t1 @t30 @t279 @t194)))) (tptp.hAPP @t30 @t30 (tptp.hAPP @t116 @t110 @t281 (tptp.hAPP tptp.bool @t116 tptp.fimplies (tptp.hAPP tptp.bool tptp.bool tptp.fNot @t173))) (tptp.hAPP @t1 @t30 @t279 @t200))))) % 34.88/35.11 (define @t682 () (tptp.hBOOL @t173)) % 34.88/35.11 (define @t683 () (tptp.hAPP @t30 @t1 @t56 @t173)) % 34.88/35.11 (define @t684 () (= @t683 @t231)) % 34.88/35.11 (define @t685 () (tptp.ti @t1 @t259)) % 34.88/35.11 (define @t686 () (= @t685 @t231)) % 34.88/35.11 (define @t687 () (forall @t261 (=> @t260 @t686))) % 34.88/35.11 (define @t688 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t173 @t683))) % 34.88/35.11 (define @t689 () (exists @t261 (and @t260 (forall @t374 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t173 @t371)) (= (tptp.ti @t1 @t371) @t685)))))) % 34.88/35.11 (define @t690 () (@var "Fun2" $$unsorted)) % 34.88/35.11 (define @t691 () (@var "Com" $$unsorted)) % 34.88/35.11 (define @t692 () (@var "Fun1" $$unsorted)) % 34.88/35.11 (define @t693 () (tptp.hAPP @t33 @t1 @t162 @t203)) % 34.88/35.11 (define @t694 () (tptp.hAPP @t33 @t1 @t162 @t157)) % 34.88/35.11 (define @t695 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t197 @t694) @t693)) % 34.88/35.11 (define @t696 () (tptp.hAPP @t33 @t1 @t162 @t454)) % 34.88/35.11 (define @t697 () (= @t696 @t695)) % 34.88/35.11 (define @t698 () (tptp.hBOOL (tptp.hAPP @t33 tptp.bool @t164 @t157))) % 34.88/35.11 (define @t699 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t17 @t35 (tptp.hAPP @t1 @t36 (tptp.hAPP @t38 @t37 @t40 @t197) @t298) @t308) @t162))) % 34.88/35.11 (define @t700 () (@list @t3 @t1 @t203 @t157 @t197 @t298 @t308 @t162)) % 34.88/35.11 (define @t701 () (tptp.hAPP @t1 @t14 @t197 @t582)) % 34.88/35.11 (define @t702 () (tptp.hAPP @t1 @t1 @t701 @t694)) % 34.88/35.11 (define @t703 () (@list @t3 @t1 @t194 @t157 @t197 @t298 @t308 @t162)) % 34.88/35.11 (define @t704 () (tptp.hAPP @t33 @t1 @t162 (tptp.hAPP @t33 @t33 @t199 @t157))) % 34.88/35.11 (define @t705 () (= @t704 @t702)) % 34.88/35.11 (define @t706 () (@var "F2" $$unsorted)) % 34.88/35.11 (define @t707 () (tptp.hAPP @t17 @t99 (tptp.hAPP @t1 @t100 @t98 @t573) @t706)) % 34.88/35.11 (define @t708 () (@var "M_1" $$unsorted)) % 34.88/35.11 (define @t709 () (=> @t260 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t172 @t259)))) % 34.88/35.11 (define @t710 () (forall @t261 @t709)) % 34.88/35.11 (define @t711 () (@list @t415)) % 34.88/35.11 (define @t712 () (tptp.hAPP tptp.com @t90 tptp.evalc @t186)) % 34.88/35.11 (define @t713 () (tptp.fun tptp.state @t503)) % 34.88/35.11 (define @t714 () (tptp.fun tptp.state @t649)) % 34.88/35.11 (define @t715 () (tptp.fun @t25 @t90)) % 34.88/35.11 (define @t716 () (tptp.fun tptp.state @t90)) % 34.88/35.11 (define @t717 () (tptp.fun @t90 @t25)) % 34.88/35.11 (define @t718 () (tptp.hBOOL (tptp.hAPP @t125 tptp.bool @t154 (tptp.hAPP @t125 @t125 (tptp.hAPP @t58 @t150 @t149 (tptp.hAPP @t90 @t58 (tptp.hAPP tptp.com @t555 (tptp.hAPP @t90 @t556 @t554 (tptp.hAPP @t716 @t90 (tptp.hAPP @t717 (tptp.fun @t716 @t90) (tptp.combb @t90 @t25 tptp.state) (tptp.hAPP (tptp.fun @t25 tptp.bool) @t717 (tptp.combb @t25 tptp.bool tptp.state) (tptp.fAll tptp.state))) (tptp.hAPP @t90 @t716 (tptp.hAPP @t715 (tptp.fun @t90 @t716) (tptp.combb @t25 @t90 tptp.state) (tptp.hAPP @t714 @t715 (tptp.combc tptp.state @t25 @t25) (tptp.hAPP @t713 @t714 (tptp.hAPP @t652 (tptp.fun @t713 @t714) (tptp.combb @t503 @t649 tptp.state) @t650) (tptp.hAPP @t90 @t713 (tptp.hAPP @t504 (tptp.fun @t90 @t713) (tptp.combb @t25 @t503 tptp.state) (tptp.hAPP @t117 @t504 @t502 tptp.fimplies)) @t712)))) @t549))) @t186) @t549)) @t146)))) % 34.88/35.11 (define @t719 () (@list @t127 @t186)) % 34.88/35.11 (define @t720 () (@var "S1_1" $$unsorted)) % 34.88/35.11 (define @t721 () (@var "S0" $$unsorted)) % 34.88/35.11 (define @t722 () (@var "S_2" $$unsorted)) % 34.88/35.11 (define @t723 () (@var "T_4" $$unsorted)) % 34.88/35.11 (define @t724 () (tptp.hAPP tptp.state @t25 (tptp.hAPP tptp.com @t90 tptp.evalc tptp.skip) @t722)) % 34.88/35.11 (define @t725 () (@var "S_1" $$unsorted)) % 34.88/35.11 (define @t726 () (tptp.hAPP tptp.com @t90 tptp.evalc @t648)) % 34.88/35.11 (define @t727 () (tptp.hAPP tptp.state @t25 @t726 @t725)) % 34.88/35.11 (define @t728 () (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool @t226 @t725))) % 34.88/35.11 (define @t729 () (@var "S2_1" $$unsorted)) % 34.88/35.11 (define @t730 () (@var "S0_1" $$unsorted)) % 34.88/35.11 (define @t731 () (@var "S1_2" $$unsorted)) % 34.88/35.11 (define @t732 () (@var "S2" $$unsorted)) % 34.88/35.11 (define @t733 () (tptp.hAPP tptp.com @t90 tptp.evalc @t658)) % 34.88/35.11 (define @t734 () (@var "U" $$unsorted)) % 34.88/35.11 (define @t735 () (tptp.hAPP tptp.state @t25 (tptp.hAPP tptp.com @t90 tptp.evalc @t486) @t722)) % 34.88/35.11 (define @t736 () (@var "S1" $$unsorted)) % 34.88/35.11 (define @t737 () (@list @t736)) % 34.88/35.11 (define @t738 () (tptp.hAPP @t1 @t3 @t197 @t167)) % 34.88/35.11 (define @t739 () (tptp.hAPP @t3 @t33 @t513 @t186)) % 34.88/35.11 (define @t740 () (tptp.hAPP @t1 @t3 @t197 @t371)) % 34.88/35.11 (define @t741 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t105 @t371) @t259))) % 34.88/35.11 (define @t742 () (tptp.hAPP @t1 @t3 @t197 @t226)) % 34.88/35.11 (define @t743 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t105 @t226) @t167))) % 34.88/35.11 (define @t744 () (@list @t186 @t197 @t226 @t167)) % 34.88/35.11 (define @t745 () (tptp.order @t3)) % 34.88/35.11 (define @t746 () (tptp.hAPP @t3 @t1 @t197 @t186)) % 34.88/35.11 (define @t747 () (tptp.hAPP @t3 @t1 @t197 @t371)) % 34.88/35.11 (define @t748 () (tptp.hAPP @t3 @t1 @t197 @t226)) % 34.88/35.11 (define @t749 () (forall @t647 (=> @t741 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t105 (tptp.hAPP @t1 @t1 @t197 @t371)) (tptp.hAPP @t1 @t1 @t197 @t259)))))) % 34.88/35.11 (define @t750 () (tptp.hAPP @t1 @t30 @t105 @t186)) % 34.88/35.11 (define @t751 () (tptp.hAPP @t1 @t1 @t197 @t226)) % 34.88/35.11 (define @t752 () (@list @t186 @t167 @t197 @t226)) % 34.88/35.11 (define @t753 () (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t33 @t513 @t226) @t186)) (=> (forall @t647 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t33 @t513 @t259) @t371)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t105 @t297) @t747)))) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t746))))) % 34.88/35.11 (define @t754 () (and @t745 @t479)) % 34.88/35.11 (define @t755 () (=> (forall @t647 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t105 @t259) @t371)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t516 @t740)))) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t33 @t513 @t738) @t186)))) % 34.88/35.11 (define @t756 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t226))) % 34.88/35.11 (define @t757 () (@list @t197 @t186 @t167 @t226)) % 34.88/35.11 (define @t758 () (and @t515 @t107)) % 34.88/35.11 (define @t759 () (tptp.semilattice_inf_inf @t30)) % 34.88/35.11 (define @t760 () (tptp.hAPP @t30 @t110 @t759 @t157)) % 34.88/35.11 (define @t761 () (tptp.hAPP @t30 @t30 @t760 @t203)) % 34.88/35.11 (define @t762 () (= @t761 @t166)) % 34.88/35.11 (define @t763 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t244 @t761))) % 34.88/35.11 (define @t764 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t761 @t194))) % 34.88/35.11 (define @t765 () (= @t685 (tptp.ti @t1 @t304))) % 34.88/35.11 (define @t766 () (tptp.hAPP @t1 @t31 @t123 @t304)) % 34.88/35.11 (define @t767 () (@list @t304)) % 34.88/35.11 (define @t768 () (tptp.hAPP @t30 @t110 @t759 @t203)) % 34.88/35.11 (define @t769 () (tptp.hAPP @t30 @t30 @t768 @t157)) % 34.88/35.11 (define @t770 () (tptp.hAPP @t30 @t30 @t760 @t289)) % 34.88/35.11 (define @t771 () (tptp.hAPP @t30 @t30 @t768 @t289)) % 34.88/35.11 (define @t772 () (tptp.hAPP @t30 @t30 @t760 @t771)) % 34.88/35.11 (define @t773 () (tptp.hAPP @t30 @t30 @t760 @t182)) % 34.88/35.11 (define @t774 () (tptp.hAPP @t30 @t30 @t449 @t157)) % 34.88/35.11 (define @t775 () (tptp.hAPP @t30 @t110 @t759 @t423)) % 34.88/35.11 (define @t776 () (tptp.hAPP @t30 @t110 @t759 @t289)) % 34.88/35.11 (define @t777 () (tptp.hAPP @t30 @t30 @t776 @t157)) % 34.88/35.11 (define @t778 () (tptp.hAPP @t30 @t110 @t421 @t761)) % 34.88/35.11 (define @t779 () (@list @t1 @t203 @t289 @t157)) % 34.88/35.11 (define @t780 () (tptp.hAPP @t30 @t30 @t760 @t438)) % 34.88/35.11 (define @t781 () (tptp.hAPP @t30 @t31 @t158 @t761)) % 34.88/35.11 (define @t782 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t326 @t157))) % 34.88/35.11 (define @t783 () (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t759 @t287) @t289)) % 34.88/35.11 (define @t784 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t224 @t289))) % 34.88/35.11 (define @t785 () (=> @t784 (= @t783 (tptp.hAPP @t30 @t30 @t168 @t771)))) % 34.88/35.11 (define @t786 () (@list @t1 @t203 @t167 @t289)) % 34.88/35.11 (define @t787 () (tptp.hAPP @t30 @t30 @t168 @t761)) % 34.88/35.11 (define @t788 () (tptp.hAPP @t30 @t30 @t760 @t287)) % 34.88/35.11 (define @t789 () (=> @t235 (= @t788 @t787))) % 34.88/35.11 (define @t790 () (@list @t1 @t203 @t167 @t157)) % 34.88/35.11 (define @t791 () (=> (not @t784) (= @t783 @t771))) % 34.88/35.11 (define @t792 () (=> @t258 (= @t788 @t761))) % 34.88/35.11 (define @t793 () (tptp.hAPP @t1 @t14 @t83 @t411)) % 34.88/35.11 (define @t794 () (tptp.hAPP @t1 @t1 @t793 @t469)) % 34.88/35.11 (define @t795 () (tptp.hAPP @t1 @t30 @t105 @t794)) % 34.88/35.11 (define @t796 () (forall @t473 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t795 @t411)))) % 34.88/35.11 (define @t797 () (forall @t473 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t795 @t469)))) % 34.88/35.11 (define @t798 () (tptp.hAPP @t1 @t14 @t83 @t485)) % 34.88/35.11 (define @t799 () (tptp.hAPP @t1 @t1 @t798 @t354)) % 34.88/35.11 (define @t800 () (tptp.hAPP @t1 @t30 @t105 @t799)) % 34.88/35.11 (define @t801 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t800 @t411))) % 34.88/35.11 (define @t802 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t412 @t799))) % 34.88/35.11 (define @t803 () (tptp.hAPP @t1 @t14 @t83 @t469)) % 34.88/35.11 (define @t804 () (tptp.hAPP @t1 @t1 @t803 @t475)) % 34.88/35.11 (define @t805 () (tptp.hAPP @t1 @t1 @t793 @t475)) % 34.88/35.11 (define @t806 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t85 @t794) @t805)) % 34.88/35.11 (define @t807 () (tptp.hAPP @t1 @t1 @t793 @t589)) % 34.88/35.11 (define @t808 () (= @t807 @t806)) % 34.88/35.11 (define @t809 () (tptp.distrib_lattice @t1)) % 34.88/35.11 (define @t810 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t83 @t592) @t600)) % 34.88/35.11 (define @t811 () (tptp.hAPP @t1 @t1 @t590 @t804)) % 34.88/35.11 (define @t812 () (= @t811 @t810)) % 34.88/35.11 (define @t813 () (tptp.hAPP @t1 @t1 @t803 @t411)) % 34.88/35.11 (define @t814 () (@list @t469 @t475 @t411)) % 34.88/35.11 (define @t815 () (tptp.hAPP @t1 @t14 @t83 @t354)) % 34.88/35.11 (define @t816 () (forall @t473 (= @t794 @t813))) % 34.88/35.11 (define @t817 () (forall @t473 (= (tptp.hAPP @t1 @t1 @t793 @t794) @t794))) % 34.88/35.11 (define @t818 () (tptp.hAPP @t1 @t1 @t798 (tptp.hAPP @t1 @t1 @t815 @t486))) % 34.88/35.11 (define @t819 () (tptp.hAPP @t1 @t1 @t793 @t804)) % 34.88/35.11 (define @t820 () (forall @t593 (= @t819 (tptp.hAPP @t1 @t1 @t803 @t805)))) % 34.88/35.11 (define @t821 () (forall @t593 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t83 @t794) @t475) @t819))) % 34.88/35.11 (define @t822 () (tptp.semilattice_inf_inf @t33)) % 34.88/35.11 (define @t823 () (tptp.hAPP @t33 @t33 (tptp.hAPP @t33 @t188 @t822 @t157) @t203)) % 34.88/35.11 (define @t824 () (@list @t1 @t3 @t197 @t157 @t203)) % 34.88/35.11 (define @t825 () (tptp.collect @t3)) % 34.88/35.11 (define @t826 () (tptp.hAPP @t33 @t188 @t822 @t566)) % 34.88/35.11 (define @t827 () (tptp.fun @t3 @t38)) % 34.88/35.11 (define @t828 () (tptp.fun @t3 @t14)) % 34.88/35.11 (define @t829 () (tptp.hAPP @t406 @t30 @t405 @t308)) % 34.88/35.11 (define @t830 () (tptp.hAPP @t406 @t30 @t405 @t197)) % 34.88/35.11 (define @t831 () (tptp.fun @t95 @t95)) % 34.88/35.11 (define @t832 () (tptp.fun @t95 @t831)) % 34.88/35.11 (define @t833 () (tptp.fun @t1 @t832)) % 34.88/35.11 (define @t834 () (tptp.fun @t1 @t831)) % 34.88/35.11 (define @t835 () (@var "Z_2" $$unsorted)) % 34.88/35.11 (define @t836 () (tptp.hAPP @t1 @t14 @t83 @t259)) % 34.88/35.11 (define @t837 () (@list @t259 @t371 @t835)) % 34.88/35.11 (define @t838 () (tptp.hAPP @t1 @t14 @t85 @t259)) % 34.88/35.11 (define @t839 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t17 @t35 (tptp.hAPP @t1 @t36 (tptp.hAPP @t38 @t37 @t32 @t197) @t298) @t308) @t162))) % 34.88/35.11 (define @t840 () (= (tptp.hAPP @t3 @t1 @t308 @t259) @t299)) % 34.88/35.11 (define @t841 () (tptp.minus_minus @t30)) % 34.88/35.11 (define @t842 () (tptp.hAPP @t30 @t110 @t841 @t157)) % 34.88/35.11 (define @t843 () (tptp.hAPP @t30 @t30 @t842 @t211)) % 34.88/35.11 (define @t844 () (tptp.hAPP @t1 @t1 @t634 (tptp.hAPP @t30 @t1 @t162 @t843))) % 34.88/35.11 (define @t845 () (= @t843 @t166)) % 34.88/35.11 (define @t846 () (not @t845)) % 34.88/35.11 (define @t847 () (tptp.hAPP @t30 @t30 @t842 @t203)) % 34.88/35.11 (define @t848 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t244 @t847))) % 34.88/35.11 (define @t849 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t847))) % 34.88/35.11 (define @t850 () (tptp.hAPP @t30 @t110 @t841 @t203)) % 34.88/35.11 (define @t851 () (tptp.hAPP @t30 @t30 @t850 @t289)) % 34.88/35.11 (define @t852 () (tptp.hAPP @t30 @t110 @t841 @t770)) % 34.88/35.11 (define @t853 () (tptp.hAPP @t30 @t30 @t852 @t771)) % 34.88/35.11 (define @t854 () (tptp.hAPP @t30 @t110 @t759 @t847)) % 34.88/35.11 (define @t855 () (tptp.hAPP @t30 @t30 @t842 @t313)) % 34.88/35.11 (define @t856 () (tptp.hAPP @t30 @t30 @t168 @t855)) % 34.88/35.11 (define @t857 () (tptp.hAPP @t30 @t110 @t841 @t268)) % 34.88/35.11 (define @t858 () (tptp.hAPP @t30 @t30 @t842 @t287)) % 34.88/35.11 (define @t859 () (tptp.hAPP @t30 @t110 @t841 @t847)) % 34.88/35.11 (define @t860 () (tptp.hAPP @t30 @t30 @t850 @t157)) % 34.88/35.11 (define @t861 () (tptp.minus_minus @t33)) % 34.88/35.11 (define @t862 () (tptp.hAPP @t33 @t188 @t861 @t157)) % 34.88/35.11 (define @t863 () (tptp.hAPP @t30 @t30 @t422 @t860)) % 34.88/35.11 (define @t864 () (tptp.hAPP @t30 @t31 @t158 @t847)) % 34.88/35.11 (define @t865 () (tptp.hAPP @t30 @t30 @t842 @t289)) % 34.88/35.11 (define @t866 () (tptp.hAPP @t30 @t110 @t421 @t847)) % 34.88/35.11 (define @t867 () (tptp.hAPP @t30 @t30 @t857 @t203)) % 34.88/35.11 (define @t868 () (=> @t269 (= @t867 @t847))) % 34.88/35.11 (define @t869 () (@list @t1 @t157 @t194 @t203)) % 34.88/35.11 (define @t870 () (tptp.hAPP @t30 @t110 @t841 @t289)) % 34.88/35.11 (define @t871 () (tptp.minus_minus @t1)) % 34.88/35.11 (define @t872 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t30 @t31 @t158 @t843) @t203))) % 34.88/35.11 (define @t873 () (tptp.hAPP @t1 @t1 @t701 (tptp.hAPP @t33 @t1 @t162 (tptp.hAPP @t33 @t33 @t862 (tptp.hAPP @t33 @t33 @t199 @t185))))) % 34.88/35.11 (define @t874 () (tptp.fun @t30 @t406)) % 34.88/35.11 (define @t875 () (tptp.hAPP @t6 @t51 (tptp.hAPP @t6 @t52 @t50 @t197) @t308)) % 34.88/35.11 (define @t876 () (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t871 @t167) @t226) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t871 @t186) @t318))) % 34.88/35.11 (define @t877 () (@list @t167 @t226 @t186 @t318)) % 34.88/35.11 (define @t878 () (tptp.hAPP @t30 @t6 @t875 @t157)) % 34.88/35.11 (define @t879 () (tptp.hAPP @t1 @t3 @t878 @t167)) % 34.88/35.11 (define @t880 () (@list @t3 @t1 @t197 @t308 @t167 @t157)) % 34.88/35.11 (define @t881 () (tptp.hAPP @t1 @t3 @t878 @t259)) % 34.88/35.11 (define @t882 () (tptp.hAPP @t30 @t1 (tptp.hAPP @t1 @t42 @t108 @t226) @t157)) % 34.88/35.11 (define @t883 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t212 @t312))) % 34.88/35.11 (define @t884 () (tptp.fun @t30 @t110)) % 34.88/35.11 (define @t885 () (tptp.finite_comp_fun_idem @t1 @t30)) % 34.88/35.11 (define @t886 () (tptp.hAPP @t1 @t27 @t197 @t194)) % 34.88/35.11 (define @t887 () (tptp.hAPP @t3 @t3 @t886 @t298)) % 34.88/35.11 (define @t888 () (tptp.finite_comp_fun_idem @t1 @t1)) % 34.88/35.11 (define @t889 () (tptp.hAPP @t6 @t48 @t46 @t197)) % 34.88/35.11 (define @t890 () (tptp.hAPP @t1 @t47 @t889 @t194)) % 34.88/35.11 (define @t891 () (tptp.hAPP @t3 @t6 @t890 @t200)) % 34.88/35.11 (define @t892 () (tptp.hAPP @t30 @t33 (tptp.hAPP @t6 @t92 @t111 @t891) @t157)) % 34.88/35.11 (define @t893 () (tptp.hAPP @t3 @t92 (tptp.hAPP @t28 @t93 @t91 @t197) @t298)) % 34.88/35.11 (define @t894 () (tptp.image @t1 @t95)) % 34.88/35.11 (define @t895 () (tptp.fun @t95 tptp.bool)) % 34.88/35.11 (define @t896 () (tptp.fun @t30 @t895)) % 34.88/35.11 (define @t897 () (tptp.hAPP @t3 @t95 @t403 @t200)) % 34.88/35.11 (define @t898 () (tptp.fun_upd @t1 @t95)) % 34.88/35.11 (define @t899 () (tptp.fun @t95 @t406)) % 34.88/35.11 (define @t900 () (tptp.fun @t1 @t899)) % 34.88/35.11 (define @t901 () (tptp.hAPP @t406 @t900 @t898 @t340)) % 34.88/35.11 (define @t902 () (tptp.ti @t3 @t200)) % 34.88/35.11 (define @t903 () (tptp.ti @t3 @t194)) % 34.88/35.11 (define @t904 () (@var "N" $$unsorted)) % 34.88/35.11 (define @t905 () (tptp.hAPP @t3 @t95 @t403 @t194)) % 34.88/35.11 (define @t906 () (@var "K" $$unsorted)) % 34.88/35.11 (define @t907 () (tptp.fun_upd @t3 @t88)) % 34.88/35.11 (define @t908 () (tptp.fun @t88 @t89)) % 34.88/35.11 (define @t909 () (tptp.fun @t3 @t908)) % 34.88/35.11 (define @t910 () (= @t903 (tptp.ti @t3 @t167))) % 34.88/35.11 (define @t911 () (tptp.hAPP @t1 @t17 (tptp.hAPP @t3 @t18 (tptp.hAPP @t17 (tptp.fun @t3 @t18) (tptp.fun_upd @t3 @t1) @t197) @t194) @t200)) % 34.88/35.11 (define @t912 () (tptp.hAPP @t1 @t3 @t891 @t298)) % 34.88/35.11 (define @t913 () (= @t299 @t274)) % 34.88/35.11 (define @t914 () (=> (not @t913) (= @t912 (tptp.hAPP @t1 @t3 @t197 @t298)))) % 34.88/35.11 (define @t915 () (@list @t3 @t1 @t197 @t200 @t298 @t194)) % 34.88/35.11 (define @t916 () (tptp.hAPP @t6 @t48 @t46 @t340)) % 34.88/35.11 (define @t917 () (tptp.hAPP @t1 @t3 (tptp.hAPP @t3 @t6 (tptp.hAPP @t1 @t47 @t889 @t167) @t226) @t259)) % 34.88/35.11 (define @t918 () (tptp.hAPP @t30 @t33 @t205 @t847)) % 34.88/35.11 (define @t919 () (tptp.hAPP @t6 @t31 @t49 @t197)) % 34.88/35.11 (define @t920 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t919 @t203))) % 34.88/35.11 (define @t921 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t919 @t157))) % 34.88/35.11 (define @t922 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t919 @t423))) % 34.88/35.11 (define @t923 () (@var "V" $$unsorted)) % 34.88/35.11 (define @t924 () (tptp.hAPP @t1 @t899 (tptp.hAPP @t406 @t900 @t898 (tptp.hAPP @t95 @t406 (tptp.combk @t95 @t1) @t94)) @t194)) % 34.88/35.11 (define @t925 () (@list @t1 @t3 @t197)) % 34.88/35.11 (define @t926 () (@list @t1 @t3 @t194 @t200 @t197 @t157)) % 34.88/35.11 (define @t927 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t919 @t289))) % 34.88/35.11 (define @t928 () (@list @t1 @t3 @t203 @t157 @t197 @t289)) % 34.88/35.11 (define @t929 () (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t1 @t31 @t123 @t200) @t157))) % 34.88/35.11 (define @t930 () (= @t294 (tptp.hAPP @t1 @t3 @t197 @t200))) % 34.88/35.11 (define @t931 () (tptp.fun @t1 @t895)) % 34.88/35.11 (define @t932 () (tptp.ti @t88 @t194)) % 34.88/35.11 (define @t933 () (= @t932 (tptp.hAPP @t1 @t88 @t96 @t371))) % 34.88/35.11 (define @t934 () (tptp.none @t1)) % 34.88/35.11 (define @t935 () (= @t932 @t934)) % 34.88/35.11 (define @t936 () (@var "A_2" $$unsorted)) % 34.88/35.11 (define @t937 () (tptp.hAPP @t1 @t88 @t96 @t936)) % 34.88/35.11 (define @t938 () (@list @t1 @t936)) % 34.88/35.11 (define @t939 () (@var "T_1" $$unsorted)) % 34.88/35.11 (define @t940 () (@var "T_2" $$unsorted)) % 34.88/35.11 (define @t941 () (tptp.fun @t940 @t939)) % 34.88/35.11 (define @t942 () (tptp.bounded_lattice @t939)) % 34.88/35.11 (define @t943 () (@list @t940 @t939)) % 34.88/35.11 (define @t944 () (tptp.lattice @t939)) % 34.88/35.11 (define @t945 () (tptp.finite_finite_1 @t939)) % 34.88/35.11 (define @t946 () (@var "A" $$unsorted)) % 34.88/35.11 (define @t947 () (@var "T" $$unsorted)) % 34.88/35.11 (define @t948 () (tptp.ti @t947 @t946)) % 34.88/35.11 (define @t949 () (@list @t1 @t411 @t469)) % 34.88/35.11 (define @t950 () (tptp.ti tptp.bool @t372)) % 34.88/35.11 (define @t951 () (tptp.hBOOL @t372)) % 34.88/35.11 (define @t952 () (not @t951)) % 34.88/35.11 (define @t953 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool tptp.fNot @t372))) % 34.88/35.11 (define @t954 () (@var "R" $$unsorted)) % 34.88/35.11 (define @t955 () (@var "Q" $$unsorted)) % 34.88/35.11 (define @t956 () (tptp.hAPP @t1 @t3 @t955 @t954)) % 34.88/35.11 (define @t957 () (@list @t1 @t2 @t3 @t372 @t955 @t954)) % 34.88/35.11 (define @t958 () (tptp.hAPP @t1 @t8 @t372 @t954)) % 34.88/35.11 (define @t959 () (tptp.ti @t1 @t372)) % 34.88/35.11 (define @t960 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t116 tptp.fconj @t372) @t955))) % 34.88/35.11 (define @t961 () (tptp.hBOOL @t955)) % 34.88/35.11 (define @t962 () (not @t961)) % 34.88/35.11 (define @t963 () (@list @t955 @t372)) % 34.88/35.11 (define @t964 () (not @t960)) % 34.88/35.11 (define @t965 () (@list @t372 @t955)) % 34.88/35.11 (define @t966 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t116 tptp.fdisj @t372) @t955))) % 34.88/35.11 (define @t967 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t118 @t411) @t469))) % 34.88/35.11 (define @t968 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t116 tptp.fimplies @t372) @t955))) % 34.88/35.11 (define @t969 () (tptp.hAPP tptp.com @t58 tptp.hoare_Mirabelle_MGT tptp.y)) % 34.88/35.11 (define @t970 () (= (tptp.hAPP tptp.pname @t21 tptp.body tptp.pn) (tptp.hAPP tptp.com @t21 @t356 tptp.y))) % 34.88/35.11 (define @t971 () (tptp.hAPP @t350 @t125 @t398 @t351)) % 34.88/35.11 (define @t972 () (tptp.hAPP @t125 @t153 @t152 @t971)) % 34.88/35.11 (define @t973 () (tptp.hAPP @t125 @t125 (tptp.hAPP @t58 @t150 @t149 @t969) @t146)) % 34.88/35.11 (define @t974 () (tptp.hBOOL (tptp.hAPP @t125 tptp.bool @t972 @t973))) % 34.88/35.11 (define @t975 () (not @t137)) % 34.88/35.11 (define @t976 () (not @t135)) % 34.88/35.11 (define @t977 () (or @t976 @t975 @t130)) % 34.88/35.11 (define @t978 () (not @t217)) % 34.88/35.11 (define @t979 () (or @t978 @t216)) % 34.88/35.11 (define @t980 () (forall @t222 @t979)) % 34.88/35.11 (define @t981 () (not @t219)) % 34.88/35.11 (define @t982 () (not @t221)) % 34.88/35.11 (define @t983 () (or @t982 @t981 @t979)) % 34.88/35.11 (define @t984 () (or @t982 @t981 @t978 @t216)) % 34.88/35.11 (define @t985 () (or @t981 @t978 @t216)) % 34.88/35.11 (define @t986 () (@list false false)) % 34.88/35.11 (define @t987 () (not @t359)) % 34.88/35.11 (define @t988 () (or @t987 @t355)) % 34.88/35.11 (define @t989 () (forall @t361 @t988)) % 34.88/35.11 (define @t990 () (or @t981 @t988)) % 34.88/35.11 (define @t991 () (or @t981 @t987 @t355)) % 34.88/35.11 (define @t992 () (tptp.hBOOL (tptp.hAPP tptp.com tptp.bool tptp.wt tptp.y))) % 34.88/35.11 (define @t993 () (not @t970)) % 34.88/35.11 (define @t994 () (or @t993 @t992)) % 34.88/35.11 (define @t995 () (tptp.hBOOL (tptp.hAPP @t125 tptp.bool @t215 @t973))) % 34.88/35.11 (define @t996 () (not @t992)) % 34.88/35.11 (define @t997 () (or @t996 @t995)) % 34.88/35.11 (define @t998 () (tptp.hBOOL (tptp.hAPP @t125 tptp.bool @t972 @t146))) % 34.88/35.11 (define @t999 () (not @t998)) % 34.88/35.11 (define @t1000 () (not @t995)) % 34.88/35.11 (define @t1001 () (or @t1000 @t999 @t974)) % 34.88/35.11 (define @t1002 () (not @t1001)) % 34.88/35.11 (define @t1003 () (forall @t136 @t977)) % 34.88/35.11 (assume @p1 (forall (@list @t3 @t2 @t1) (= (tptp.ti (tptp.fun @t8 @t7) @t4) @t4))) % 34.88/35.11 (assume @p2 (forall @t12 (= (tptp.ti (tptp.fun @t11 @t10) @t9) @t9))) % 34.88/35.11 (assume @p3 (forall @t15 (= (tptp.ti @t14 @t13) @t13))) % 34.88/35.11 (assume @p4 (forall @t19 (= (tptp.ti @t18 @t16) @t16))) % 34.88/35.11 (assume @p5 (forall @t12 (= (tptp.ti (tptp.fun @t11 @t7) @t20) @t20))) % 34.88/35.11 (assume @p6 (= (tptp.ti (tptp.fun tptp.com tptp.bool) tptp.wt) tptp.wt)) % 34.88/35.11 (assume @p7 (= (tptp.ti tptp.bool tptp.wT_bodies) tptp.wT_bodies)) % 34.88/35.11 (assume @p8 (= (tptp.ti @t22 tptp.body) tptp.body)) % 34.88/35.11 (assume @p9 (= (tptp.ti @t23 tptp.body_1) tptp.body_1)) % 34.88/35.11 (assume @p10 (= (tptp.ti tptp.com tptp.skip) tptp.skip)) % 34.88/35.11 (assume @p11 (= (tptp.ti (tptp.fun tptp.com @t24) tptp.semi) tptp.semi)) % 34.88/35.11 (assume @p12 (= (tptp.ti (tptp.fun @t25 @t24) tptp.while) tptp.while)) % 34.88/35.11 (assume @p13 (forall @t19 (= (tptp.ti (tptp.fun @t28 tptp.bool) @t26) @t26))) % 34.88/35.11 (assume @p14 (forall @t15 (= (tptp.ti @t31 @t29) @t29))) % 34.88/35.11 (assume @p15 (forall @t19 (= (tptp.ti @t39 @t32) @t32))) % 34.88/35.11 (assume @p16 (forall @t19 (= (tptp.ti @t39 @t40) @t40))) % 34.88/35.11 (assume @p17 (forall @t15 (= (tptp.ti @t44 @t41) @t41))) % 34.88/35.11 (assume @p18 (forall @t15 (= (tptp.ti @t44 @t45) @t45))) % 34.88/35.11 (assume @p19 (forall @t19 (= (tptp.ti (tptp.fun @t6 @t48) @t46) @t46))) % 34.88/35.11 (assume @p20 (forall @t19 (= (tptp.ti (tptp.fun @t6 @t31) @t49) @t49))) % 34.88/35.11 (assume @p21 (forall @t19 (= (tptp.ti (tptp.fun @t6 @t52) @t50) @t50))) % 34.88/35.11 (assume @p22 (forall @t55 (=> @t54 (= (tptp.ti (tptp.fun @t3 @t27) @t53) @t53)))) % 34.88/35.11 (assume @p23 (forall @t15 (= (tptp.ti @t42 @t56) @t56))) % 34.88/35.11 (assume @p24 (forall @t15 (= (tptp.ti @t1 @t57) @t57))) % 34.88/35.11 (assume @p25 (= (tptp.ti @t59 tptp.hoare_Mirabelle_MGT) tptp.hoare_Mirabelle_MGT)) % 34.88/35.11 (assume @p26 (forall @t15 (= (tptp.ti @t64 @t60) @t60))) % 34.88/35.11 (assume @p27 (forall @t15 (= (tptp.ti @t64 @t65) @t65))) % 34.88/35.11 (assume @p28 (= (tptp.ti tptp.bool tptp.hoare_1924220188gleton) tptp.hoare_1924220188gleton)) % 34.88/35.11 (assume @p29 (forall @t15 (= (tptp.ti @t70 @t66) @t66))) % 34.88/35.11 (assume @p30 (forall @t79 (= (tptp.ti @t78 @t71) @t71))) % 34.88/35.11 (assume @p31 (forall @t79 (= (tptp.ti @t78 @t80) @t80))) % 34.88/35.11 (assume @p32 (forall @t15 (= (tptp.ti @t82 @t81) @t81))) % 34.88/35.11 (assume @p33 (forall @t15 (=> @t84 (= (tptp.ti @t38 @t83) @t83)))) % 34.88/35.11 (assume @p34 (forall @t15 (=> @t86 (= (tptp.ti @t38 @t85) @t85)))) % 34.88/35.11 (assume @p35 (forall @t79 (= (tptp.ti (tptp.fun @t89 @t33) @t87) @t87))) % 34.88/35.11 (assume @p36 (= (tptp.ti (tptp.fun tptp.com @t90) tptp.evalc) tptp.evalc)) % 34.88/35.11 (assume @p37 (forall @t19 (= (tptp.ti (tptp.fun @t28 @t93) @t91) @t91))) % 34.88/35.11 (assume @p38 (forall @t55 (= (tptp.ti @t95 @t94) @t94))) % 34.88/35.11 (assume @p39 (forall @t15 (= (tptp.ti @t97 @t96) @t96))) % 34.88/35.11 (assume @p40 (forall @t19 (= (tptp.ti (tptp.fun @t1 @t100) @t98) @t98))) % 34.88/35.11 (assume @p41 (forall @t15 (= (tptp.ti (tptp.fun @t88 @t30) @t101) @t101))) % 34.88/35.11 (assume @p42 (forall @t15 (= (tptp.ti (tptp.fun @t88 @t1) @t102) @t102))) % 34.88/35.11 (assume @p43 (forall @t15 (=> @t104 (= (tptp.ti @t1 @t103) @t103)))) % 34.88/35.11 (assume @p44 (forall @t15 (=> @t107 (= (tptp.ti @t106 @t105) @t105)))) % 34.88/35.11 (assume @p45 (forall @t15 (= (tptp.ti (tptp.fun @t1 @t42) @t108) @t108))) % 34.88/35.11 (assume @p46 (forall @t15 (= (tptp.ti @t110 @t109) @t109))) % 34.88/35.11 (assume @p47 (forall @t19 (= (tptp.ti (tptp.fun @t6 @t92) @t111) @t111))) % 34.88/35.11 (assume @p48 (forall @t15 (= (tptp.ti @t113 @t112) @t112))) % 34.88/35.11 (assume @p49 (forall @t15 (= (tptp.ti @t42 @t114) @t114))) % 34.88/35.11 (assume @p50 (forall @t15 (= (tptp.ti @t31 @t115) @t115))) % 34.88/35.11 (assume @p51 (= (tptp.ti tptp.bool tptp.fFalse) tptp.fFalse)) % 34.88/35.11 (assume @p52 (= (tptp.ti @t116 tptp.fNot) tptp.fNot)) % 34.88/35.11 (assume @p53 (= (tptp.ti tptp.bool tptp.fTrue) tptp.fTrue)) % 34.88/35.11 (assume @p54 (= (tptp.ti @t117 tptp.fconj) tptp.fconj)) % 34.88/35.11 (assume @p55 (= (tptp.ti @t117 tptp.fdisj) tptp.fdisj)) % 34.88/35.11 (assume @p56 (forall @t15 (= (tptp.ti @t106 @t118) @t118))) % 34.88/35.11 (assume @p57 (= (tptp.ti @t117 tptp.fimplies) tptp.fimplies)) % 34.88/35.11 (assume @p58 (forall @t122 (= (tptp.hAPP @t1 @t2 (tptp.ti @t5 @t120) @t119) @t121))) % 34.88/35.11 (assume @p59 (forall @t122 (= (tptp.hAPP @t1 @t2 @t120 (tptp.ti @t1 @t119)) @t121))) % 34.88/35.11 (assume @p60 (forall (@list @t2 @t1 @t120 @t119) (= (tptp.ti @t2 @t121) @t121))) % 34.88/35.11 (assume @p61 (forall (@list @t120) (= (tptp.hBOOL (tptp.ti tptp.bool @t120)) (tptp.hBOOL @t120)))) % 34.88/35.11 (assume @p62 (forall @t15 (= (tptp.ti @t124 @t123) @t123))) % 34.88/35.11 (assume @p63 (= (tptp.ti @t125 tptp.fa) tptp.fa)) % 34.88/35.11 (assume @p64 (= (tptp.ti tptp.pname tptp.pn) tptp.pn)) % 34.88/35.11 (assume @p65 (= (tptp.ti tptp.com tptp.y) tptp.y)) % 34.88/35.11 (assume @p66 (forall (@list @t1 @t127) (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 @t126)))) % 34.88/35.11 (assume @p67 (forall (@list @t1 @t129 @t127) (=> (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t132 @t127)) @t130))) % 34.88/35.11 (assume @p68 (forall (@list @t1 @t129 @t127 @t133) (=> (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 @t133)) (=> (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t132 @t133)) @t130)))) % 34.88/35.11 (assume @p69 (forall @t136 (=> @t135 (=> (tptp.hBOOL (tptp.hAPP @t62 tptp.bool (tptp.hAPP @t62 @t63 @t131 @t134) @t127)) @t130)))) % 34.88/35.11 (assume @p70 @t139) % 34.88/35.11 (assume @p71 (forall (@list @t1 @t129 @t127 @t140) (=> @t145 (=> @t130 @t144)))) % 34.88/35.11 (assume @p72 (forall (@list @t1 @t127 @t140 @t129) (=> @t144 (and @t145 @t130)))) % 34.88/35.11 (assume @p73 (forall (@list @t147 @t127) (=> (tptp.hBOOL (tptp.hAPP @t125 tptp.bool (tptp.hAPP @t125 @t153 @t152 (tptp.hAPP @t125 @t125 @t151 @t127)) (tptp.hAPP @t125 @t125 (tptp.hAPP @t58 @t150 @t149 (tptp.hAPP tptp.com @t58 tptp.hoare_Mirabelle_MGT @t156)) @t146))) (tptp.hBOOL (tptp.hAPP @t125 tptp.bool @t154 (tptp.hAPP @t125 @t125 @t151 @t146)))))) % 34.88/35.11 (assume @p74 (forall @t161 (=> @t160 (tptp.hBOOL (tptp.hAPP @t31 tptp.bool (tptp.finite_finite @t30) (tptp.hAPP @t31 @t31 (tptp.collect @t30) (tptp.hAPP @t30 @t31 (tptp.hAPP @t159 @t159 (tptp.combc @t30 @t30 tptp.bool) @t158) @t157))))))) % 34.88/35.11 (assume @p75 (forall (@list @t3 @t1 @t163 @t162) (=> @t165 (tptp.hBOOL (tptp.hAPP @t33 tptp.bool @t164 (tptp.hAPP @t30 @t33 (tptp.hAPP @t6 @t92 @t111 @t163) @t162)))))) % 34.88/35.11 (assume @p76 (forall @t161 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t30 @t31 @t158 @t166) @t157)))) % 34.88/35.11 (assume @p77 (forall @t171 (=> @t160 @t170))) % 34.88/35.11 (assume @p78 (forall @t15 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t166)))) % 34.88/35.11 (assume @p79 (forall @t184 (=> (or @t183 @t181) (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t179))))) % 34.88/35.11 (assume @p80 (forall (@list @t3 @t1 @t186 @t157) (and (=> @t192 (= @t189 @t185)) (=> @t193 @t190)))) % 34.88/35.11 (assume @p81 (forall (@list @t3 @t1 @t186 @t194 @t157) (=> @t196 @t190))) % 34.88/35.11 (assume @p82 (forall @t202 (=> (= (tptp.hAPP @t3 @t88 @t197 @t194) @t201) (= (tptp.hAPP @t33 @t33 @t199 @t198) @t198)))) % 34.88/35.11 (assume @p83 (forall (@list @t3 @t1 @t203 @t197 @t157) (=> @t160 (=> (tptp.hBOOL (tptp.hAPP @t33 tptp.bool @t209 @t206)) @t204)))) % 34.88/35.11 (assume @p84 (forall (@list @t1 @t157 @t194) (=> (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t212 @t211)) (or @t192 (= @t191 @t211))))) % 34.88/35.11 (assume @p85 @t223) % 34.88/35.11 (assume @p86 (forall @t225 (not (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t224 @t166))))) % 34.88/35.11 (assume @p87 (forall @t234 (=> (=> (not @t233) @t232) @t229))) % 34.88/35.11 (assume @p88 (forall @t237 (=> @t236 (=> (not @t232) @t235)))) % 34.88/35.11 (assume @p89 (forall @t243 (=> @t242 (=> @t241 @t239)))) % 34.88/35.11 (assume @p90 (forall @t248 (=> @t242 @t247))) % 34.88/35.11 (assume @p91 (forall (@list @t1 @t3 @t157 @t226 @t197 @t194) (=> (= @t230 @t257) (=> @t256 @t254)))) % 34.88/35.11 (assume @p92 (forall @t171 (=> @t192 @t258))) % 34.88/35.11 (assume @p93 (forall @t263 (= (= @t182 @t166) @t262))) % 34.88/35.11 (assume @p94 (forall (@list @t1 @t186) (not (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t244 @t166))))) % 34.88/35.11 (assume @p95 (forall @t263 (= (= @t166 @t182) @t262))) % 34.88/35.11 (assume @p96 (forall @t161 (= (exists @t261 @t265) @t193))) % 34.88/35.11 (assume @p97 (forall @t161 (= (forall @t261 @t266) @t192))) % 34.88/35.11 (assume @p98 (forall @t15 (= @t166 (tptp.hAPP @t30 @t30 @t109 (tptp.hAPP tptp.bool @t30 (tptp.combk tptp.bool @t1) tptp.fFalse))))) % 34.88/35.11 (assume @p99 (forall @t15 (=> (tptp.finite_finite_1 @t1) (forall (@list @t157) @t160)))) % 34.88/35.11 (assume @p100 (forall @t171 (=> @t235 (= @t169 @t191)))) % 34.88/35.11 (assume @p101 (forall @t234 (=> @t233 @t229))) % 34.88/35.11 (assume @p102 (forall @t272 (=> @t271 (=> @t270 (= (= @t268 @t267) @t239))))) % 34.88/35.11 (assume @p103 (forall (@list @t1 @t200 @t157 @t194) (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t277 @t194)) (or (= @t275 @t274) @t273)))) % 34.88/35.11 (assume @p104 (forall @t237 (= @t236 (or @t232 @t235)))) % 34.88/35.11 (assume @p105 (forall (@list @t1 @t194 @t200 @t157) (= (tptp.hAPP @t30 @t30 @t210 @t277) (tptp.hAPP @t30 @t30 @t276 @t268)))) % 34.88/35.11 (assume @p106 (forall @t278 (= (tptp.hAPP @t30 @t30 @t210 @t268) @t268))) % 34.88/35.11 (assume @p107 (forall @t283 (= (tptp.hAPP @t30 @t30 @t168 @t182) (tptp.hAPP @t30 @t30 @t109 (tptp.hAPP @t30 @t30 (tptp.hAPP @t175 @t110 @t178 (tptp.hAPP @t30 @t175 (tptp.hAPP @t117 @t176 @t174 tptp.fimplies) (tptp.hAPP @t30 @t30 @t282 @t280))) @t173))))) % 34.88/35.11 (assume @p108 (forall @t288 (= @t287 (tptp.hAPP @t30 @t30 @t109 (tptp.hAPP @t30 @t30 (tptp.hAPP @t175 @t110 @t178 (tptp.hAPP @t30 @t175 @t286 @t280)) @t285))))) % 34.88/35.11 (assume @p109 (forall @t288 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t224 @t287)))) % 34.88/35.11 (assume @p110 (forall @t243 (=> @t239 (not (=> @t242 (not @t241)))))) % 34.88/35.11 (assume @p111 (forall @t292 (=> @t242 (=> @t291 @t290)))) % 34.88/35.11 (assume @p112 (forall @t293 (=> @t242 (=> @t196 @t269)))) % 34.88/35.11 (assume @p113 (forall @t272 (=> @t196 (=> @t242 @t269)))) % 34.88/35.11 (assume @p114 (forall @t243 (=> @t239 @t241))) % 34.88/35.11 (assume @p115 (forall @t243 (=> @t239 @t242))) % 34.88/35.11 (assume @p116 (forall @t243 (= @t239 (and @t242 @t241)))) % 34.88/35.11 (assume @p117 (forall @t161 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t212 @t157)))) % 34.88/35.11 (assume @p118 (forall (@list @t3 @t1 @t226 @t197 @t194 @t157) (=> @t196 (=> (= @t295 @t294) (tptp.hBOOL (tptp.hAPP @t33 tptp.bool (tptp.hAPP @t3 @t208 @t255 @t226) @t206)))))) % 34.88/35.11 (assume @p119 (forall @t296 (=> @t196 (tptp.hBOOL (tptp.hAPP @t33 tptp.bool (tptp.hAPP @t3 @t208 @t255 @t294) @t206))))) % 34.88/35.11 (assume @p120 (forall (@list @t1 @t3 @t298 @t197 @t157) (= (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t1 @t31 @t123 @t298) @t252)) (exists @t261 (and @t301 (= @t299 @t297)))))) % 34.88/35.11 (assume @p121 (forall @t303 (= (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t302)) (and @t183 @t181)))) % 34.88/35.11 (assume @p122 (forall (@list @t1 @t259 @t304) (= (tptp.hAPP @t30 @t30 @t305 @t304) (tptp.hAPP @t30 @t30 @t109 (tptp.hAPP @t30 @t30 (tptp.hAPP @t175 @t110 @t178 (tptp.hAPP @t30 @t175 @t286 (tptp.hAPP @t1 @t30 @t279 @t259))) (tptp.hAPP @t30 @t30 @t284 @t304)))))) % 34.88/35.11 (assume @p123 (forall (@list @t1 @t306) (= (tptp.hAPP @t30 @t30 (tptp.hAPP @t14 @t110 @t307 @t13) @t306) (tptp.ti @t30 @t306)))) % 34.88/35.11 (assume @p124 (forall (@list @t3 @t1 @t2 @t197 @t308 @t157) (= (tptp.hAPP @t33 @t30 @t251 (tptp.hAPP @t311 @t33 (tptp.hAPP @t310 (tptp.fun @t311 @t33) (tptp.image @t2 @t3) @t308) @t157)) (tptp.hAPP @t311 @t30 (tptp.hAPP @t309 (tptp.fun @t311 @t30) (tptp.image @t2 @t1) (tptp.hAPP @t310 @t309 (tptp.hAPP @t17 (tptp.fun @t310 @t309) (tptp.combb @t3 @t1 @t2) @t197) @t308)) @t157)))) % 34.88/35.11 (assume @p125 (forall (@list @t1 @t167 @t226) (=> (= @t313 @t312) @t232))) % 34.88/35.11 (assume @p126 (forall @t316 (=> @t315 @t314))) % 34.88/35.11 (assume @p127 (forall (@list @t1 @t167 @t226 @t186 @t318) (= (= (tptp.hAPP @t30 @t30 @t168 @t312) (tptp.hAPP @t30 @t30 (tptp.hAPP @t1 @t110 @t112 @t186) (tptp.hAPP @t30 @t30 (tptp.hAPP @t1 @t110 @t112 @t318) @t166))) (or (and @t320 (= @t230 @t319)) (and (= @t231 @t319) (= @t230 @t317)))))) % 34.88/35.11 (assume @p128 (forall @t316 (= @t315 @t314))) % 34.88/35.11 (assume @p129 (forall @t171 (not (= @t169 @t166)))) % 34.88/35.11 (assume @p130 (forall @t171 (not (= @t166 @t169)))) % 34.88/35.11 (assume @p131 (forall @t171 (= @t170 @t160))) % 34.88/35.11 (assume @p132 (forall @t161 (= (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t212 @t166)) @t192))) % 34.88/35.11 (assume @p133 (forall @t322 (= (= @t252 @t166) @t321))) % 34.88/35.11 (assume @p134 (forall (@list @t3 @t1 @t197) (= (tptp.hAPP @t33 @t30 @t251 @t185) @t166))) % 34.88/35.11 (assume @p135 (forall @t323 (= (= @t166 @t252) @t321))) % 34.88/35.11 (assume @p136 (forall @t243 (=> @t242 (=> @t324 @t160)))) % 34.88/35.11 (assume @p137 (forall @t243 (=> @t324 (=> @t242 @t160)))) % 34.88/35.11 (assume @p138 (forall (@list @t1 @t167 @t289 @t325) (=> (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t326 @t325)) (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t30 @t31 @t158 (tptp.hAPP @t30 @t30 @t168 @t289)) (tptp.hAPP @t30 @t30 @t168 @t325)))))) % 34.88/35.11 (assume @p139 (forall @t331 (=> (forall @t261 @t330) (= @t327 (tptp.ti @t6 @t308))))) % 34.88/35.11 (assume @p140 (forall @t278 (= @t196 @t273))) % 34.88/35.11 (assume @p141 (forall @t263 (= @t182 (tptp.ti @t30 @t173)))) % 34.88/35.11 (assume @p142 (forall (@list @t1 @t226 @t157 @t203) (=> @t242 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t212 @t228))))) % 34.88/35.11 (assume @p143 (forall @t272 (=> @t271 (= @t332 @t242)))) % 34.88/35.11 (assume @p144 (forall @t293 (= (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t30 @t31 @t158 @t268) @t203)) (and @t269 @t242)))) % 34.88/35.11 (assume @p145 (forall (@list @t1 @t203 @t167) (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t240 @t287)))) % 34.88/35.11 (assume @p146 (forall @t296 (=> @t196 (= (tptp.hAPP @t33 @t33 (tptp.hAPP @t3 @t188 @t187 @t294) @t206) @t206)))) % 34.88/35.11 (assume @p147 (forall (@list @t3 @t1 @t197 @t167 @t203) (= (tptp.hAPP @t33 @t30 @t251 (tptp.hAPP @t33 @t33 (tptp.hAPP @t3 @t188 @t187 @t167) @t203)) (tptp.hAPP @t30 @t30 (tptp.hAPP @t1 @t110 @t112 (tptp.hAPP @t3 @t1 @t197 @t167)) @t333)))) % 34.88/35.11 (assume @p148 (forall @t336 (=> @t242 (tptp.hBOOL (tptp.hAPP @t33 tptp.bool @t335 @t334))))) % 34.88/35.11 (assume @p149 (forall @t339 (= @t338 (exists (@list @t337) (and (tptp.hBOOL (tptp.hAPP @t33 tptp.bool (tptp.hAPP @t33 @t208 @t207 @t337) @t157)) (= @t238 (tptp.hAPP @t33 @t30 @t251 @t337))))))) % 34.88/35.11 (assume @p150 (forall (@list @t3 @t1 @t340 @t167 @t226) (=> (= (tptp.hAPP @t3 @t88 @t340 @t167) @t341) (tptp.hBOOL (tptp.hAPP @t33 tptp.bool (tptp.hAPP @t3 @t208 @t255 @t167) (tptp.hAPP @t89 @t33 @t87 @t340)))))) % 34.88/35.11 (assume @p151 (forall @t345 (and (=> @t343 (= @t342 @t313)) (=> @t344 (= @t342 @t166))))) % 34.88/35.11 (assume @p152 (forall @t345 (and (=> @t343 (= @t347 @t313)) (=> @t344 (= @t347 @t166))))) % 34.88/35.11 (assume @p153 (forall @t225 (= @t348 @t313))) % 34.88/35.11 (assume @p154 (forall @t225 (= (tptp.hAPP @t30 @t30 @t109 @t346) @t313))) % 34.88/35.11 (assume @p155 (forall (@list @t186 @t127) (=> @t221 (=> (forall @t261 (=> (tptp.hBOOL (tptp.hAPP @t350 tptp.bool (tptp.hAPP tptp.pname @t353 @t352 @t259) @t351)) (tptp.hBOOL (tptp.hAPP @t125 tptp.bool @t154 (tptp.hAPP @t125 @t125 (tptp.hAPP @t58 @t150 @t149 (tptp.hAPP tptp.com @t58 tptp.hoare_Mirabelle_MGT (tptp.hAPP tptp.pname tptp.com tptp.body_1 @t259))) @t146))))) (=> @t217 @t349))))) % 34.88/35.11 (assume @p156 @t362) % 34.88/35.11 (assume @p157 (forall (@list @t1 @t3 @t226 @t197 @t157) (=> @t254 (not (forall @t261 (=> (= @t230 @t297) (not @t301))))))) % 34.88/35.11 (assume @p158 (forall (@list @t1 @t173 @t157 @t162) (=> @t165 (=> (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t30 @t31 @t158 @t162) @t157)) (=> @t370 (=> (forall (@list @t365 @t364) (=> @t369 (=> (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t368 @t157)) (=> (not (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t368 @t364))) (=> @t367 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t173 (tptp.hAPP @t30 @t30 @t366 @t364)))))))) @t363)))))) % 34.88/35.11 (assume @p159 (forall @t376 (=> (tptp.hBOOL (tptp.hAPP tptp.com tptp.bool tptp.wt @t375)) (not (forall @t374 (not (= @t373 (tptp.hAPP tptp.com @t21 @t356 @t371)))))))) % 34.88/35.11 (assume @p160 (forall @t378 (=> (forall @t261 (=> @t265 @t377)) @t242))) % 34.88/35.11 (assume @p161 (forall @t336 (=> @t324 (=> @t338 (exists (@list @t379) (and (tptp.hBOOL (tptp.hAPP @t33 tptp.bool (tptp.hAPP @t33 @t208 @t207 @t379) @t157)) (tptp.hBOOL (tptp.hAPP @t33 tptp.bool @t164 @t379)) (= @t238 (tptp.hAPP @t33 @t30 @t251 @t379)))))))) % 34.88/35.11 (assume @p162 (tptp.hBOOL (tptp.hAPP @t350 tptp.bool @t380 @t351))) % 34.88/35.11 (assume @p163 (forall @t383 (=> @t165 (=> @t370 (=> (forall @t382 (=> @t369 @t381)) @t363))))) % 34.88/35.11 (assume @p164 (forall @t225 (= (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t167)) (or (= @t386 @t166) (exists (@list @t384 @t365) (and (= @t386 (tptp.hAPP @t30 @t30 @t366 @t384)) @t385)))))) % 34.88/35.11 (assume @p165 (forall @t322 (=> (not @t160) (=> (tptp.hBOOL (tptp.hAPP @t33 tptp.bool @t164 @t206)) (exists @t261 (and @t265 (not (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 (tptp.hAPP @t30 @t30 @t109 (tptp.hAPP @t30 @t30 @t389 (tptp.hAPP @t3 @t30 (tptp.hAPP @t387 (tptp.fun @t3 @t30) (tptp.combc @t1 @t3 tptp.bool) (tptp.hAPP @t6 @t387 (tptp.hAPP (tptp.fun @t3 @t33) (tptp.fun @t6 @t387) (tptp.combb @t3 @t33 @t1) (tptp.fequal @t3)) @t197)) @t329)))))))))))) % 34.88/35.11 (assume @p166 (forall (@list @t391 @t390) (= (= (tptp.hAPP tptp.pname tptp.com tptp.body_1 @t391) @t392) (= (tptp.ti tptp.pname @t391) (tptp.ti tptp.pname @t390))))) % 34.88/35.11 (assume @p167 (forall (@list @t127 @t393) (=> (tptp.hBOOL (tptp.hAPP @t125 tptp.bool (tptp.hAPP @t125 @t153 @t152 (tptp.hAPP @t125 @t125 (tptp.hAPP @t125 @t150 (tptp.semilattice_sup_sup @t125) @t127) @t399)) (tptp.hAPP @t350 @t125 @t401 @t393))) (=> (tptp.hBOOL (tptp.hAPP @t350 tptp.bool @t380 @t393)) (tptp.hBOOL (tptp.hAPP @t125 tptp.bool @t154 @t399)))))) % 34.88/35.11 (assume @p168 (forall @t409 (=> @t408 (exists (@list @t402) (= @t404 (tptp.hAPP @t3 @t95 @t403 @t402)))))) % 34.88/35.11 (assume @p169 (forall @t410 (= (tptp.hAPP @t30 @t1 @t114 @t211) @t274))) % 34.88/35.11 (assume @p170 (forall (@list @t3 @t1 @t197 @t203 @t157) (=> (forall @t261 (=> @t265 (tptp.hBOOL (tptp.hAPP @t33 tptp.bool (tptp.hAPP @t3 @t208 @t255 @t329) @t203)))) (tptp.hBOOL (tptp.hAPP @t33 tptp.bool @t335 @t203))))) % 34.88/35.11 (assume @p171 (forall @t15 (=> @t414 (forall @t413 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t412 @t411)))))) % 34.88/35.11 (assume @p172 (forall @t161 (= @t193 (exists (@list @t259 @t415) (and (= @t191 (tptp.hAPP @t30 @t30 @t305 @t415)) (not (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t264 @t415)))))))) % 34.88/35.11 (assume @p173 (forall (@list @t1 @t411) (= (tptp.hAPP @t88 @t1 @t102 (tptp.hAPP @t1 @t88 @t96 @t411)) @t416))) % 34.88/35.11 (assume @p174 (forall (@list @t1 @t127 @t173 @t147 @t172) (=> (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 @t420)) @t419))) % 34.88/35.11 (assume @p175 (forall @t426 (=> (=> @t425 @t246) @t424))) % 34.88/35.11 (assume @p176 (forall @t248 (=> @t424 (=> (not @t246) @t245)))) % 34.88/35.11 (assume @p177 (forall @t303 (= @t302 (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 @t182) @t180)))) % 34.88/35.11 (assume @p178 (forall (@list @t1 @t433 @t430 @t428 @t432 @t429 @t427) (= (= (tptp.hAPP @t67 @t61 (tptp.hAPP tptp.com @t68 (tptp.hAPP @t67 @t69 @t66 @t433) @t430) @t428) (tptp.hAPP @t67 @t61 (tptp.hAPP tptp.com @t68 (tptp.hAPP @t67 @t69 @t66 @t432) @t429) @t427)) (and (= @t433 @t432) @t431 (= @t428 @t427))))) % 34.88/35.11 (assume @p179 (forall @t426 (=> @t245 @t424))) % 34.88/35.11 (assume @p180 (forall @t434 (=> @t246 @t424))) % 34.88/35.11 (assume @p181 (forall @t436 (= (forall @t261 (=> @t435 @t260)) (and (forall @t261 (=> @t265 @t260)) (forall @t261 (=> @t377 @t260)))))) % 34.88/35.11 (assume @p182 (forall @t436 (= (exists @t261 (and @t435 @t260)) (or (exists @t261 (and @t265 @t260)) (exists @t261 (and @t377 @t260)))))) % 34.88/35.11 (assume @p183 (forall @t440 (= (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 @t423) @t289) @t439))) % 34.88/35.11 (assume @p184 (forall @t248 (= @t424 (or @t246 @t245)))) % 34.88/35.11 (assume @p185 (forall @t440 (= @t439 (tptp.hAPP @t30 @t30 @t437 @t441)))) % 34.88/35.11 (assume @p186 (forall @t243 (= (tptp.hAPP @t30 @t30 @t422 @t423) @t423))) % 34.88/35.11 (assume @p187 (forall @t243 (= @t423 @t442))) % 34.88/35.11 (assume @p188 (forall @t243 (= @t423 (tptp.hAPP @t30 @t30 @t109 (tptp.hAPP @t30 @t30 (tptp.hAPP @t175 @t110 @t178 (tptp.hAPP @t30 @t175 @t286 @t388)) @t285))))) % 34.88/35.11 (assume @p189 (forall @t161 (= (tptp.hAPP @t30 @t30 @t422 @t157) @t191))) % 34.88/35.11 (assume @p190 (forall @t243 (= (= @t423 @t166) (and @t192 @t443)))) % 34.88/35.11 (assume @p191 (forall @t161 (= (tptp.hAPP @t30 @t30 @t422 @t166) @t191))) % 34.88/35.11 (assume @p192 (forall @t444 (= (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 @t166) @t203) @t238))) % 34.88/35.11 (assume @p193 (forall @t447 (=> @t165 (=> @t446 @t445)))) % 34.88/35.11 (assume @p194 (forall (@list @t1 @t162 @t127) (= @t445 (and @t165 @t446)))) % 34.88/35.11 (assume @p195 (forall (@list @t1 @t167 @t203 @t289) (= (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 @t287) @t289) (tptp.hAPP @t30 @t30 @t168 @t438)))) % 34.88/35.11 (assume @p196 (forall @t448 (= (tptp.hAPP @t30 @t30 @t422 @t287) (tptp.hAPP @t30 @t30 @t168 @t423)))) % 34.88/35.11 (assume @p197 (forall @t452 (=> @t290 (=> @t451 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t450 (tptp.hAPP @t30 @t30 @t449 @t325))))))) % 34.88/35.11 (assume @p198 (forall (@list @t1 @t203 @t157 @t289) (=> @t290 (=> @t291 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t450 @t289)))))) % 34.88/35.11 (assume @p199 (forall @t378 (=> @t241 (= @t423 @t191)))) % 34.88/35.11 (assume @p200 (forall @t243 (=> @t242 @t453))) % 34.88/35.11 (assume @p201 (forall @t243 (= @t242 @t453))) % 34.88/35.11 (assume @p202 (forall @t378 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t240 @t423)))) % 34.88/35.11 (assume @p203 (forall @t243 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t212 @t423)))) % 34.88/35.11 (assume @p204 (forall @t336 (= (tptp.hAPP @t33 @t30 @t251 @t454) (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 @t252) @t333)))) % 34.88/35.11 (assume @p205 (forall @t288 (= @t287 (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 @t348) @t203)))) % 34.88/35.11 (assume @p206 (forall @t171 (= @t169 (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 @t313) @t157)))) % 34.88/35.11 (assume @p207 (forall @t468 (=> @t467 (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 @t464))))) % 34.88/35.11 (assume @p208 (forall @t15 (=> @t474 (forall @t473 (=> (not @t472) @t471))))) % 34.88/35.11 (assume @p209 (forall @t15 (=> @t479 (forall @t478 (=> @t471 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t476 @t469)) @t477)))))) % 34.88/35.11 (assume @p210 (forall @t15 (=> @t479 (forall @t482 (=> @t471 (=> @t472 @t481)))))) % 34.88/35.11 (assume @p211 (forall @t15 (=> @t414 (forall @t484 (=> @t472 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t470 @t475)) @t483)))))) % 34.88/35.11 (assume @p212 (forall @t15 (=> @t479 (forall @t473 (=> @t472 (=> @t471 @t481)))))) % 34.88/35.11 (assume @p213 (forall @t15 (=> @t479 (forall (@list @t486 @t354 @t485) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t490 @t485)) (=> (= @t489 (tptp.ti @t1 @t486)) @t488)))))) % 34.88/35.11 (assume @p214 (forall @t15 (=> @t107 (forall @t493 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t491 @t354)) (=> (= @t354 @t486) @t492)))))) % 34.88/35.11 (assume @p215 (forall @t15 (=> @t479 (forall @t493 (=> (= @t494 @t489) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t487 @t354)) @t488)))))) % 34.88/35.11 (assume @p216 (forall @t15 (=> @t107 (forall @t493 (=> (= @t485 @t354) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t490 @t486)) @t492)))))) % 34.88/35.11 (assume @p217 (forall @t15 (=> @t479 (forall (@list @t200 @t194) (=> @t499 (= @t497 @t495)))))) % 34.88/35.11 (assume @p218 (forall @t15 (=> @t414 (forall @t473 (=> (= @t411 @t469) @t472))))) % 34.88/35.11 (assume @p219 (forall @t15 (=> @t479 (forall @t500 (= @t495 (and @t497 @t499)))))) % 34.88/35.11 (assume @p220 (forall @t15 (=> @t474 (forall @t473 (or @t472 @t471))))) % 34.88/35.11 (assume @p221 (forall (@list @t1 @t167 @t501) (= (= (tptp.hAPP @t1 @t88 @t96 @t167) (tptp.hAPP @t1 @t88 @t96 @t501)) (= @t231 (tptp.ti @t1 @t501))))) % 34.88/35.11 (assume @p222 (forall (@list @t1 @t127 @t173 @t186 @t172 @t289) (=> (=> (tptp.hBOOL @t289) @t510) (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 (tptp.hAPP @t62 @t62 (tptp.hAPP @t61 @t142 @t141 (tptp.hAPP @t67 @t61 (tptp.hAPP tptp.com @t68 (tptp.hAPP @t67 @t69 @t66 (tptp.hAPP tptp.bool @t67 (tptp.hAPP @t508 (tptp.fun tptp.bool @t67) (tptp.combc @t1 tptp.bool @t25) (tptp.hAPP @t505 @t508 (tptp.hAPP (tptp.fun @t503 @t507) (tptp.fun @t505 @t508) (tptp.combb @t503 @t507 @t1) (tptp.combc tptp.state tptp.bool tptp.bool)) @t506)) @t289)) @t186) @t172)) @t126)))))) % 34.88/35.11 (assume @p223 (forall (@list @t1 @t147 @t127 @t173 @t172 @t393) (=> @t467 (=> (tptp.hBOOL (tptp.hAPP @t350 tptp.bool (tptp.hAPP tptp.pname @t353 @t352 @t147) @t393)) (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 (tptp.hAPP @t62 @t62 (tptp.hAPP @t61 @t142 @t141 (tptp.hAPP @t67 @t61 (tptp.hAPP tptp.com @t68 (tptp.hAPP @t67 @t69 @t66 (tptp.hAPP tptp.pname @t67 @t173 @t147)) @t148) (tptp.hAPP tptp.pname @t67 @t172 @t147))) @t126))))))) % 34.88/35.11 (assume @p224 (forall @t15 (=> @t104 (forall @t511 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t491 @t103)) (= @t494 @t103)))))) % 34.88/35.11 (assume @p225 (forall @t15 (=> @t104 (forall (@list @t167) (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t103)) (= @t231 @t103)))))) % 34.88/35.11 (assume @p226 (forall @t15 (=> @t104 (forall @t511 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t105 @t103) @t485)))))) % 34.88/35.11 (assume @p227 (forall @t19 (=> @t515 (forall (@list @t194 @t197 @t308) (=> @t514 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t33 @t513 @t294) (tptp.hAPP @t1 @t3 @t308 @t194)))))))) % 34.88/35.11 (assume @p228 (forall @t19 (=> @t515 (forall @t518 (= @t514 @t517))))) % 34.88/35.11 (assume @p229 (forall @t79 (=> @t104 (forall (@list @t194) (= (tptp.hAPP @t3 @t1 (tptp.bot_bot @t17) @t194) @t103))))) % 34.88/35.11 (assume @p230 (forall @t19 (=> (tptp.bot @t3) (forall @t261 (= (tptp.hAPP @t1 @t3 (tptp.bot_bot @t6) @t259) (tptp.bot_bot @t3)))))) % 34.88/35.11 (assume @p231 (forall (@list @t1 @t173 @t147 @t172 @t127) (=> (tptp.hBOOL (tptp.hAPP @t62 tptp.bool (tptp.hAPP @t62 @t63 @t60 (tptp.hAPP @t62 @t62 @t418 @t127)) @t420)) @t419))) % 34.88/35.11 (assume @p232 (forall (@list @t3 @t1 @t173 @t172 @t127 @t539 @t520 @t538 @t519) (=> (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t519)) (=> (forall (@list @t541) (=> (tptp.hBOOL (tptp.hAPP @t535 tptp.bool @t537 (tptp.hAPP @t535 @t535 (tptp.hAPP @t72 @t544 @t543 (tptp.hAPP @t74 @t72 (tptp.hAPP tptp.com @t522 (tptp.hAPP @t74 @t523 @t521 (tptp.hAPP @t1 @t74 @t539 @t541)) @t542) (tptp.hAPP @t1 @t74 @t538 @t541))) @t540))) (tptp.hBOOL (tptp.hAPP @t535 tptp.bool @t537 (tptp.hAPP @t535 @t535 (tptp.hAPP @t72 @t544 @t543 (tptp.hAPP @t74 @t72 (tptp.hAPP tptp.com @t522 (tptp.hAPP @t74 @t523 @t521 (tptp.hAPP @t1 @t74 @t173 @t541)) @t542) (tptp.hAPP @t1 @t74 @t172 @t541))) @t540))))) (=> (tptp.hBOOL (tptp.hAPP @t535 tptp.bool @t537 (tptp.hAPP @t30 @t535 (tptp.hAPP @t532 @t536 @t534 (tptp.hAPP @t525 @t532 (tptp.hAPP @t528 @t533 @t531 (tptp.hAPP @t529 @t528 (tptp.hAPP @t524 @t530 @t527 (tptp.hAPP @t525 @t524 @t526 @t539)) @t520)) @t538)) @t519))) (tptp.hBOOL (tptp.hAPP @t535 tptp.bool @t537 (tptp.hAPP @t30 @t535 (tptp.hAPP @t532 @t536 @t534 (tptp.hAPP @t525 @t532 (tptp.hAPP @t528 @t533 @t531 (tptp.hAPP @t529 @t528 (tptp.hAPP @t524 @t530 @t527 (tptp.hAPP @t525 @t524 @t526 @t173)) @t520)) @t172)) @t519)))))))) % 34.88/35.11 (assume @p233 (forall (@list @t1 @t127 @t186 @t172 @t173) (=> (forall @t551 (=> @t550 (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 (tptp.hAPP @t62 @t62 (tptp.hAPP @t61 @t142 @t141 (tptp.hAPP @t67 @t61 (tptp.hAPP tptp.com @t68 (tptp.hAPP @t67 @t69 @t66 (tptp.hAPP @t25 @t67 @t547 (tptp.hAPP tptp.state @t25 (tptp.hAPP @t90 @t90 (tptp.combc tptp.state tptp.state tptp.bool) @t549) @t548))) @t186) (tptp.hAPP @t25 @t67 @t547 @t546))) @t126))))) @t510))) % 34.88/35.11 (assume @p234 (forall @t468 (=> (tptp.hBOOL (tptp.hAPP @t62 tptp.bool (tptp.hAPP @t62 @t63 @t65 @t466) @t465)) (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t552 @t464))))) % 34.88/35.11 (assume @p235 (forall (@list @t1 @t173 @t127 @t539 @t186 @t172) (=> (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 (tptp.hAPP @t62 @t62 (tptp.hAPP @t61 @t142 @t141 (tptp.hAPP @t67 @t61 @t553 @t172)) @t126))) (=> (forall @t551 (=> @t550 (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t1 @t25 @t539 @t545) @t548)))) @t510)))) % 34.88/35.11 (assume @p236 (forall (@list @t1 @t172 @t127 @t173 @t186 @t538) (=> (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 (tptp.hAPP @t62 @t62 (tptp.hAPP @t61 @t142 @t141 (tptp.hAPP @t67 @t61 @t509 @t538)) @t126))) (=> (forall @t551 (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t1 @t25 @t538 @t545) @t548)) (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool @t546 @t548)))) @t510)))) % 34.88/35.11 (assume @p237 (forall (@list @t173 @t172 @t186) (=> @t216 (=> (tptp.hBOOL (tptp.hAPP @t125 tptp.bool (tptp.hAPP @t125 @t153 (tptp.hoare_2027193591valids tptp.state) @t146) @t557)) (tptp.hBOOL (tptp.hAPP @t125 tptp.bool @t215 @t557)))))) % 34.88/35.11 (assume @p238 (forall @t560 (=> @t559 (=> (not @t273) @t558)))) % 34.88/35.11 (assume @p239 (forall @t560 (=> (=> @t561 @t273) @t559))) % 34.88/35.11 (assume @p240 (forall (@list @t1 @t127 @t129) (=> @t130 (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t552 @t129))))) % 34.88/35.11 (assume @p241 (forall (@list @t1 @t259) (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t166 @t259)) (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t264 @t166))))) % 34.88/35.11 (assume @p242 (forall (@list @t1 @t172 @t173 @t194) (=> @t564 (=> @t563 @t562)))) % 34.88/35.11 (assume @p243 (forall (@list @t1 @t194 @t173 @t172) (=> @t563 (=> @t564 @t562)))) % 34.88/35.11 (assume @p244 (forall @t560 (=> @t558 @t559))) % 34.88/35.11 (assume @p245 (forall @t565 (=> @t273 @t559))) % 34.88/35.11 (assume @p246 (forall (@list @t1 @t567 @t566) (= (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t30 @t31 @t158 @t569) @t568)) (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t30 @t31 @t158 @t567) @t566))))) % 34.88/35.11 (assume @p247 (forall @t570 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 @t569) @t568) @t259)) (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t264 (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 @t567) @t566)))))) % 34.88/35.11 (assume @p248 (forall (@list @t1 @t172 @t173 @t127 @t539 @t186 @t538) (=> (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 (tptp.hAPP @t62 @t62 (tptp.hAPP @t61 @t142 @t141 (tptp.hAPP @t67 @t61 @t553 @t538)) @t126))) (=> (forall @t551 (=> @t550 (forall (@list @t571) (=> (forall (@list @t572) (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t1 @t25 @t539 @t572) @t548)) (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t1 @t25 @t538 @t572) @t571)))) (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool @t546 @t571)))))) @t510)))) % 34.88/35.11 (assume @p249 (forall @t19 (=> @t515 (forall @t518 (=> @t517 @t514))))) % 34.88/35.11 (assume @p250 (forall @t576 (= (tptp.hAPP @t72 @t1 (tptp.hAPP @t77 @t73 @t71 @t573) @t575) @t574))) % 34.88/35.11 (assume @p251 (forall @t576 (= (tptp.hAPP @t72 @t1 (tptp.hAPP @t77 @t73 @t80 @t573) @t575) @t574))) % 34.88/35.11 (assume @p252 (forall @t410 (= (tptp.hAPP @t88 @t30 @t101 @t577) @t211))) % 34.88/35.11 (assume @p253 (forall (@list @t1 @t194 @t578) (= (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t195 (tptp.hAPP @t88 @t30 @t101 @t578))) (= (tptp.ti @t88 @t578) @t577)))) % 34.88/35.11 (assume @p254 (forall (@list @t1 @t194 @t173 @t157) (=> (forall @t261 (=> (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t264 (tptp.hAPP @t88 @t30 @t101 @t157))) @t260)) (=> (= (tptp.ti @t88 @t157) @t577) @t564)))) % 34.88/35.11 (assume @p255 (forall @t19 (=> @t581 (forall @t580 (= (tptp.hAPP @t1 @t3 (tptp.hAPP @t6 @t6 (tptp.hAPP @t6 @t579 (tptp.semilattice_sup_sup @t6) @t197) @t308) @t259) (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t27 (tptp.semilattice_sup_sup @t3) @t329) @t328)))))) % 34.88/35.11 (assume @p256 (forall @t79 (=> @t585 (forall @t584 (= (tptp.hAPP @t3 @t1 (tptp.hAPP @t17 @t17 (tptp.hAPP @t17 @t583 (tptp.semilattice_sup_sup @t17) @t197) @t308) @t194) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t85 @t257) @t582)))))) % 34.88/35.11 (assume @p257 (=> @t221 (forall (@list @t586) (not (forall (@list @t548) @t587))))) % 34.88/35.11 (assume @p258 (= @t221 (exists (@list @t548 @t586) (not @t587)))) % 34.88/35.11 (assume @p259 (forall @t15 (=> @t86 @t594))) % 34.88/35.11 (assume @p260 (forall @t15 (=> @t585 @t594))) % 34.88/35.11 (assume @p261 (forall @t15 (=> @t86 (forall @t599 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t85 @t598) @t486) @t597))))) % 34.88/35.11 (assume @p262 (forall @t15 (=> @t86 @t601))) % 34.88/35.11 (assume @p263 (forall @t15 (=> @t585 @t601))) % 34.88/35.11 (assume @p264 (forall @t15 (=> @t86 (forall @t602 (= (tptp.hAPP @t1 @t1 @t595 (tptp.hAPP @t1 @t1 @t596 @t486)) @t597))))) % 34.88/35.11 (assume @p265 (forall @t15 (=> @t86 @t603))) % 34.88/35.11 (assume @p266 (forall @t15 (=> @t585 @t603))) % 34.88/35.11 (assume @p267 (forall @t15 (=> @t86 (forall @t604 (= (tptp.hAPP @t1 @t1 @t596 @t598) @t598))))) % 34.88/35.11 (assume @p268 (forall @t15 (=> @t86 @t606))) % 34.88/35.11 (assume @p269 (forall @t15 (=> @t585 @t606))) % 34.88/35.11 (assume @p270 (forall @t15 (=> @t86 (forall @t604 (= @t598 (tptp.hAPP @t1 @t1 @t595 @t485)))))) % 34.88/35.11 (assume @p271 (forall @t15 (=> @t86 (forall @t413 (= (tptp.hAPP @t1 @t1 @t590 @t411) @t416))))) % 34.88/35.11 (assume @p272 (forall @t15 (=> @t86 (forall @t511 (= (tptp.hAPP @t1 @t1 @t596 @t485) @t494))))) % 34.88/35.11 (assume @p273 (forall @t15 (=> @t86 (forall @t611 (=> @t610 (not (=> @t608 (not @t607)))))))) % 34.88/35.11 (assume @p274 (forall @t15 (=> @t86 (forall @t614 (=> @t492 (=> @t613 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t609 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t85 @t486) @t612))))))))) % 34.88/35.11 (assume @p275 (forall @t15 (=> @t86 (forall @t478 (=> @t471 (=> @t477 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t105 @t589) @t411)))))))) % 34.88/35.11 (assume @p276 (forall @t15 (=> @t86 (forall @t615 (=> @t608 (=> @t607 @t610)))))) % 34.88/35.11 (assume @p277 (forall @t15 (=> @t86 (forall @t482 (=> @t471 (= @t592 @t416)))))) % 34.88/35.11 (assume @p278 (forall @t15 (=> @t86 (forall @t473 (=> @t472 (= @t592 @t480)))))) % 34.88/35.11 (assume @p279 (forall @t15 (=> @t86 (forall (@list @t485 @t411 @t354) (=> @t617 @t616))))) % 34.88/35.11 (assume @p280 (forall @t15 (=> @t86 (forall @t619 (=> @t618 @t616))))) % 34.88/35.11 (assume @p281 (forall @t15 (=> @t86 (forall @t622 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t105 @t621) @t298)) (and @t620 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t498 @t298)))))))) % 34.88/35.11 (assume @p282 (forall @t15 (=> @t86 (forall @t500 (= @t497 (= @t621 @t275)))))) % 34.88/35.11 (assume @p283 (forall @t15 (=> @t86 @t623))) % 34.88/35.11 (assume @p284 (forall @t15 (=> @t585 @t623))) % 34.88/35.11 (assume @p285 (forall @t15 (=> @t86 @t624))) % 34.88/35.11 (assume @p286 (forall @t15 (=> @t585 @t624))) % 34.88/35.11 (assume @p287 (forall @t15 (=> @t625 (forall @t500 (= (= @t621 @t103) (and (= @t274 @t103) (= @t275 @t103))))))) % 34.88/35.11 (assume @p288 (forall @t15 (=> @t625 (forall @t413 (= (tptp.hAPP @t1 @t1 @t590 @t103) @t416))))) % 34.88/35.11 (assume @p289 (forall @t15 (=> @t625 (forall @t413 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t85 @t103) @t411) @t416))))) % 34.88/35.11 (assume @p290 (forall @t633 (=> @t632 (=> @t160 (=> @t193 (=> @t324 (=> @t631 @t630))))))) % 34.88/35.11 (assume @p291 (forall @t633 (=> @t632 (=> @t160 (=> @t631 (=> @t241 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t197 @t626) @t627) @t627))))))) % 34.88/35.11 (assume @p292 (forall (@list @t1 @t127 @t173) (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 (tptp.hAPP @t62 @t62 (tptp.hAPP @t61 @t142 @t141 (tptp.hAPP @t67 @t61 (tptp.hAPP tptp.com @t68 @t417 tptp.skip) @t173)) @t126))))) % 34.88/35.11 (assume @p293 (forall @t638 (=> @t632 (=> @t160 @t637)))) % 34.88/35.11 (assume @p294 (forall @t383 (=> @t165 (=> (not (= (tptp.ti @t30 @t162) @t166)) (=> (forall @t261 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t173 (tptp.hAPP @t30 @t30 @t305 @t166)))) (=> (forall @t382 (=> @t369 (=> (not (= (tptp.ti @t30 @t364) @t166)) @t381))) @t363)))))) % 34.88/35.11 (assume @p295 (forall @t640 (=> @t632 @t639))) % 34.88/35.11 (assume @p296 (forall @t643 (not (= @t642 tptp.skip)))) % 34.88/35.11 (assume @p297 (forall @t643 (not (= tptp.skip @t642)))) % 34.88/35.11 (assume @p298 (tptp.hBOOL (tptp.hAPP tptp.com tptp.bool tptp.wt tptp.skip))) % 34.88/35.11 (assume @p299 (forall @t638 (=> @t632 (=> @t160 (=> @t196 (= @t635 @t627)))))) % 34.88/35.11 (assume @p300 (forall (@list @t1 @t644 @t163 @t197 @t162) (=> @t632 (=> (forall @t647 (= (tptp.hAPP @t1 @t1 @t163 @t646) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t197 (tptp.hAPP @t1 @t1 @t163 @t259)) (tptp.hAPP @t1 @t1 @t163 @t371)))) (=> (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t644)) (=> (not (= @t645 @t166)) (= (tptp.hAPP @t1 @t1 @t163 (tptp.hAPP @t30 @t1 @t162 @t644)) (tptp.hAPP @t30 @t1 @t162 (tptp.hAPP @t30 @t30 (tptp.hAPP @t14 @t110 @t307 @t163) @t644))))))))) % 34.88/35.11 (assume @p301 (forall (@list @t1 @t127 @t173 @t226 @t186) (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 (tptp.hAPP @t62 @t62 (tptp.hAPP @t61 @t142 @t141 (tptp.hAPP @t67 @t61 (tptp.hAPP tptp.com @t68 (tptp.hAPP @t67 @t69 @t66 (tptp.hAPP @t25 @t67 (tptp.hAPP @t651 (tptp.fun @t25 @t67) (tptp.combc @t1 @t25 @t25) (tptp.hAPP @t505 @t651 (tptp.hAPP @t652 (tptp.fun @t505 @t651) (tptp.combb @t503 @t649 @t1) @t650) @t506)) (tptp.hAPP @t25 @t25 (tptp.hAPP @t116 @t649 (tptp.combb tptp.bool tptp.bool tptp.state) tptp.fNot) @t226))) @t648) @t173)) @t126))))) % 34.88/35.11 (assume @p302 (forall (@list @t1 @t318 @t567 @t127 @t173 @t186 @t172) (=> @t510 (=> (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 (tptp.hAPP @t62 @t62 (tptp.hAPP @t61 @t142 @t141 (tptp.hAPP @t67 @t61 (tptp.hAPP tptp.com @t68 (tptp.hAPP @t67 @t69 @t66 @t172) @t318) @t567)) @t126))) (tptp.hBOOL (tptp.hAPP @t62 tptp.bool @t128 (tptp.hAPP @t62 @t62 (tptp.hAPP @t61 @t142 @t141 (tptp.hAPP @t67 @t61 (tptp.hAPP tptp.com @t68 @t417 (tptp.hAPP tptp.com tptp.com (tptp.hAPP tptp.com @t24 tptp.semi @t186) @t318)) @t567)) @t126))))))) % 34.88/35.11 (assume @p303 (forall (@list @t1 @t654) (= (tptp.hAPP @t30 @t1 @t114 @t654) (tptp.hAPP @t30 @t1 @t56 (tptp.hAPP @t106 @t30 (tptp.hAPP @t31 (tptp.fun @t106 @t30) (tptp.combb @t30 tptp.bool @t1) (tptp.hAPP @t30 @t31 (tptp.fequal @t30) @t654)) @t653))))) % 34.88/35.11 (assume @p304 (forall @t656 (=> @t655 @t217))) % 34.88/35.11 (assume @p305 (forall (@list @t658 @t657) (=> (tptp.hBOOL (tptp.hAPP tptp.com tptp.bool tptp.wt @t660)) (not (=> @t659 (not (tptp.hBOOL (tptp.hAPP tptp.com tptp.bool tptp.wt @t657)))))))) % 34.88/35.11 (assume @p306 (forall (@list @t664 @t663 @t661 @t429) (not (= @t665 @t662)))) % 34.88/35.11 (assume @p307 (forall (@list @t661 @t429 @t664 @t663) (not (= @t662 @t665)))) % 34.88/35.11 (assume @p308 (forall (@list @t664 @t663 @t667 @t666) (= (= @t665 (tptp.hAPP tptp.com tptp.com (tptp.hAPP tptp.com @t24 tptp.semi @t667) @t666)) (and (= @t664 @t667) (= @t663 @t666))))) % 34.88/35.11 (assume @p309 (forall (@list @t668 @t430 @t661 @t429) (= (= @t669 @t662) (and (= @t668 @t661) @t431)))) % 34.88/35.11 (assume @p310 (forall (@list @t390 @t668 @t430) (not (= @t392 @t669)))) % 34.88/35.11 (assume @p311 (forall (@list @t668 @t430 @t390) (not (= @t669 @t392)))) % 34.88/35.11 (assume @p312 (forall @t656 (=> @t217 @t655))) % 34.88/35.11 (assume @p313 (forall @t670 (not (= tptp.skip @t662)))) % 34.88/35.11 (assume @p314 (forall @t670 (not (= @t662 tptp.skip)))) % 34.88/35.11 (assume @p315 (forall (@list @t641 @t672 @t671) (not (= @t642 @t673)))) % 34.88/35.11 (assume @p316 (forall (@list @t672 @t671 @t641) (not (= @t673 @t642)))) % 34.88/35.11 (assume @p317 (forall (@list @t658 @t674) (=> (tptp.hBOOL (tptp.hAPP tptp.com tptp.bool tptp.wt @t674)) (=> @t659 (tptp.hBOOL (tptp.hAPP tptp.com tptp.bool tptp.wt @t675)))))) % 34.88/35.11 (assume @p318 (forall @t679 (not (= tptp.skip @t678)))) % 34.88/35.11 (assume @p319 (forall @t679 (not (= @t678 tptp.skip)))) % 34.88/35.11 (assume @p320 (forall @t638 (=> @t680 (=> @t160 (=> @t271 @t637))))) % 34.88/35.11 (assume @p321 (forall (@list @t1 @t194 @t200 @t173) (and (=> @t682 (= @t274 @t681)) (=> (not @t682) (= @t275 @t681))))) % 34.88/35.11 (assume @p322 (forall @t225 (= (tptp.hAPP @t30 @t1 @t56 @t280) @t231))) % 34.88/35.11 (assume @p323 (forall @t410 (= (tptp.hAPP @t30 @t1 @t56 (tptp.hAPP @t1 @t30 @t118 @t194)) @t274))) % 34.88/35.11 (assume @p324 (forall @t640 (=> @t680 (= (tptp.hAPP @t30 @t1 @t162 @t211) @t274)))) % 34.88/35.11 (assume @p325 (forall @t345 (=> @t343 (=> @t687 @t684)))) % 34.88/35.11 (assume @p326 (forall (@list @t1 @t157 @t197 @t162) (=> @t680 (=> @t160 (=> @t193 (=> (forall @t647 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t1 @t31 @t123 @t646) (tptp.hAPP @t30 @t30 @t305 (tptp.hAPP @t30 @t30 (tptp.hAPP @t1 @t110 @t112 @t371) @t166))))) (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t1 @t31 @t123 @t627) @t157)))))))) % 34.88/35.11 (assume @p327 (forall @t263 (=> @t689 @t688))) % 34.88/35.11 (assume @p328 (forall @t283 (=> @t689 (=> @t343 @t684)))) % 34.88/35.11 (assume @p329 (forall @t345 (=> @t343 (=> @t687 @t688)))) % 34.88/35.11 (assume @p330 (forall (@list @t1 @t200) (not (forall (@list @t692 @t691 @t690) (not (= @t200 (tptp.hAPP @t67 @t61 (tptp.hAPP tptp.com @t68 (tptp.hAPP @t67 @t69 @t66 @t692) @t691) @t690))))))) % 34.88/35.11 (assume @p331 (forall @t700 (=> @t699 (=> @t698 (=> @t204 @t697))))) % 34.88/35.11 (assume @p332 (forall @t700 (=> @t699 (=> @t698 (=> (tptp.hBOOL (tptp.hAPP @t33 tptp.bool @t209 @t157)) (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t197 @t693) @t694) @t694)))))) % 34.88/35.11 (assume @p333 (forall (@list @t3 @t1 @t194 @t197 @t298 @t308 @t162) (=> @t699 @t639))) % 34.88/35.11 (assume @p334 (forall @t703 (=> @t699 (=> @t698 (=> @t256 (= @t702 @t694)))))) % 34.88/35.11 (assume @p335 (forall @t703 (=> @t699 (=> @t698 @t705)))) % 34.88/35.11 (assume @p336 (forall (@list @t3 @t1 @t573 @t706 @t167) (= (tptp.hAPP @t95 @t1 @t707 (tptp.hAPP @t3 @t95 @t403 @t167)) (tptp.hAPP @t3 @t1 @t706 @t167)))) % 34.88/35.11 (assume @p337 (forall (@list @t3 @t1 @t197 @t308 @t708 @t644) (=> (= (tptp.ti @t30 @t708) @t645) (=> (forall @t261 (=> (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t264 @t644)) @t330)) (= (tptp.hAPP @t30 @t33 @t205 @t708) (tptp.hAPP @t30 @t33 (tptp.hAPP @t6 @t92 @t111 @t308) @t644)))))) % 34.88/35.11 (assume @p338 (forall @t184 (=> @t710 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t30 @t31 @t158 @t182) @t180))))) % 34.88/35.11 (assume @p339 (forall @t184 (=> @t710 @t563))) % 34.88/35.11 (assume @p340 (forall @t171 (=> @t235 (exists @t711 (and (= @t191 (tptp.hAPP @t30 @t30 @t168 @t415)) (not (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t224 @t415)))))))) % 34.88/35.11 (assume @p341 (forall @t278 (=> @t196 (not (forall @t711 (=> (= @t191 (tptp.hAPP @t30 @t30 @t210 @t415)) (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t195 @t415)))))))) % 34.88/35.11 (assume @p342 (forall @t161 (=> (forall @t374 (not (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t1 @t31 @t123 @t371) @t157)))) @t192))) % 34.88/35.11 (assume @p343 (forall @t719 (=> @t221 (=> @t718 @t349)))) % 34.88/35.11 (assume @p344 (forall @t719 (=> @t349 @t718))) % 34.88/35.11 (assume @p345 (forall @t222 (= @t213 (tptp.hAPP @t90 @t58 (tptp.hAPP tptp.com @t555 (tptp.hAPP @t90 @t556 @t554 @t549) @t186) @t712)))) % 34.88/35.11 (assume @p346 (forall (@list @t357 @t721 @t720) (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.state @t25 (tptp.hAPP tptp.com @t90 tptp.evalc (tptp.hAPP @t21 tptp.com @t155 @t358)) @t721) @t720)) (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.state @t25 (tptp.hAPP tptp.com @t90 tptp.evalc (tptp.hAPP tptp.pname tptp.com tptp.body_1 @t357)) @t721) @t720))))) % 34.88/35.11 (assume @p347 (forall (@list @t372 @t722 @t720) (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.state @t25 (tptp.hAPP tptp.com @t90 tptp.evalc @t375) @t722) @t720)) (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.state @t25 (tptp.hAPP tptp.com @t90 tptp.evalc (tptp.hAPP @t21 tptp.com @t155 @t373)) @t722) @t720))))) % 34.88/35.11 (assume @p348 (forall (@list @t722 @t723) (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool @t724 @t723)) (= @t723 @t722)))) % 34.88/35.11 (assume @p349 (forall (@list @t186 @t226 @t725) (=> (not @t728) (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool @t727 @t725))))) % 34.88/35.11 (assume @p350 (forall (@list @t729 @t186 @t731 @t226 @t730) (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool @t226 @t730)) (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.state @t25 @t712 @t730) @t731)) (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.state @t25 @t726 @t731) @t729)) (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.state @t25 @t726 @t730) @t729))))))) % 34.88/35.11 (assume @p351 (forall (@list @t658 @t732 @t674 @t721 @t720) (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.state @t25 (tptp.hAPP tptp.com @t90 tptp.evalc @t674) @t721) @t720)) (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.state @t25 @t733 @t720) @t732)) (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.state @t25 (tptp.hAPP tptp.com @t90 tptp.evalc @t675) @t721) @t732)))))) % 34.88/35.11 (assume @p352 (forall (@list @t722) (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool @t724 @t722)))) % 34.88/35.11 (assume @p353 (forall (@list @t734 @t486 @t722 @t723) (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool @t735 @t723)) (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool @t735 @t734)) (= @t734 @t723))))) % 34.88/35.11 (assume @p354 (forall (@list @t658 @t657 @t722 @t723) (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.state @t25 (tptp.hAPP tptp.com @t90 tptp.evalc @t660) @t722) @t723)) (not (forall @t737 (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.state @t25 @t733 @t722) @t736)) (not (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.state @t25 (tptp.hAPP tptp.com @t90 tptp.evalc @t657) @t736) @t723))))))))) % 34.88/35.11 (assume @p355 (forall (@list @t226 @t186 @t725 @t140) (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool @t727 @t140)) (=> (=> (= @t140 @t725) @t728) (not (=> @t728 (forall @t737 (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.state @t25 @t712 @t725) @t736)) (not (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.state @t25 @t726 @t736) @t140))))))))))) % 34.88/35.11 (assume @p356 (forall @t79 (=> (and @t479 @t745) (forall @t744 (=> @t743 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t739 @t742)) (=> (forall @t647 (=> @t741 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t33 @t513 @t740) @t329)))) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t739 @t738))))))))) % 34.88/35.11 (assume @p357 (forall @t79 (=> (and @t479 @t515) (forall @t744 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t105 @t748) @t167)) (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t739 @t226)) (=> (forall @t647 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t33 @t513 @t371) @t259)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t105 @t747) @t297)))) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t105 @t746) @t167))))))))) % 34.88/35.11 (assume @p358 (forall @t15 (=> @t479 (forall @t752 (=> (= @t231 @t751) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t750 @t226)) (=> @t749 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t105 (tptp.hAPP @t1 @t1 @t197 @t186)) @t167))))))))) % 34.88/35.11 (assume @p359 (forall @t19 (=> @t754 (forall @t752 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t748)) @t753))))) % 34.88/35.11 (assume @p360 (forall @t15 (=> @t479 (forall (@list @t197 @t186 @t226 @t167) (=> @t743 (=> (= @t751 @t317) (=> @t749 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t750 (tptp.hAPP @t1 @t1 @t197 @t167)))))))))) % 34.88/35.11 (assume @p361 (forall @t19 (=> @t758 (forall @t757 (=> @t756 (=> (= @t742 @t186) @t755)))))) % 34.88/35.11 (assume @p362 (forall @t19 (=> @t754 (forall @t757 (=> @t756 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t33 @t513 @t742) @t186)) @t755)))))) % 34.88/35.11 (assume @p363 (forall @t19 (=> @t758 (forall @t752 (=> (= @t167 @t748) @t753))))) % 34.88/35.11 (assume @p364 (forall @t633 (=> @t680 (=> @t160 (=> @t324 (=> (not @t762) (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t197 @t629) (tptp.hAPP @t30 @t1 @t162 @t761)) @t628))))))) % 34.88/35.11 (assume @p365 (forall @t633 (=> @t680 (=> @t160 (=> @t193 (=> @t324 (=> @t631 (=> @t762 @t630)))))))) % 34.88/35.11 (assume @p366 (forall @t434 (=> @t246 (=> @t245 @t763)))) % 34.88/35.11 (assume @p367 (forall @t248 (=> @t763 (not (=> @t246 @t425))))) % 34.88/35.11 (assume @p368 (forall @t565 (=> @t273 (=> @t558 @t764)))) % 34.88/35.11 (assume @p369 (forall @t560 (=> @t764 (not (=> @t273 @t561))))) % 34.88/35.11 (assume @p370 (forall @t447 (=> (or @t165 @t446) (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t759 @t162) @t127)))))) % 34.88/35.11 (assume @p371 (forall @t243 (= @t762 (forall @t261 (=> @t265 (forall @t767 (=> (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t766 @t203)) (not @t765)))))))) % 34.88/35.11 (assume @p372 (forall @t161 (= (tptp.hAPP @t30 @t30 @t760 @t166) @t166))) % 34.88/35.11 (assume @p373 (forall @t444 (= (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t759 @t166) @t203) @t166))) % 34.88/35.11 (assume @p374 (forall @t161 (= (tptp.hAPP @t30 @t30 @t760 @t157) @t191))) % 34.88/35.11 (assume @p375 (forall @t243 (= @t761 (tptp.hAPP @t30 @t30 @t109 (tptp.hAPP @t30 @t30 @t389 @t285))))) % 34.88/35.11 (assume @p376 (forall @t243 (= @t761 @t769))) % 34.88/35.11 (assume @p377 (forall @t243 (= (tptp.hAPP @t30 @t30 @t760 @t761) @t761))) % 34.88/35.11 (assume @p378 (forall @t440 (= @t772 (tptp.hAPP @t30 @t30 @t768 @t770)))) % 34.88/35.11 (assume @p379 (forall @t248 (= @t763 (and @t246 @t245)))) % 34.88/35.11 (assume @p380 (forall @t440 (= (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t759 @t761) @t289) @t772))) % 34.88/35.11 (assume @p381 (forall @t248 (=> @t763 @t246))) % 34.88/35.11 (assume @p382 (forall @t248 (=> @t763 @t245))) % 34.88/35.11 (assume @p383 (forall @t303 (= @t179 (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t759 @t182) @t180)))) % 34.88/35.11 (assume @p384 (forall (@list @t1 @t194 @t157 @t173) (= (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t195 @t773)) (and @t196 @t564)))) % 34.88/35.11 (assume @p385 (forall @t570 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t759 @t569) @t568) @t259)) (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t264 (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t759 @t567) @t566)))))) % 34.88/35.11 (assume @p386 (forall @t560 (=> @t764 @t273))) % 34.88/35.11 (assume @p387 (forall @t560 (=> @t764 @t558))) % 34.88/35.11 (assume @p388 (forall @t440 (= (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 (tptp.hAPP @t30 @t30 @t778 @t771)) @t777) (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t759 (tptp.hAPP @t30 @t30 @t775 @t438)) @t774)))) % 34.88/35.11 (assume @p389 (forall @t779 (= (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 @t771) @t157) (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t759 @t442) @t774)))) % 34.88/35.11 (assume @p390 (forall @t779 (= (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t759 @t438) @t157) (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 @t769) @t777)))) % 34.88/35.11 (assume @p391 (forall @t440 (= (tptp.hAPP @t30 @t30 @t422 @t771) (tptp.hAPP @t30 @t30 @t775 @t441)))) % 34.88/35.11 (assume @p392 (forall @t440 (= @t780 (tptp.hAPP @t30 @t30 @t778 @t770)))) % 34.88/35.11 (assume @p393 (forall @t452 (=> @t290 (=> @t451 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t781 (tptp.hAPP @t30 @t30 @t776 @t325))))))) % 34.88/35.11 (assume @p394 (forall @t779 (=> @t782 (=> (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t326 @t203)) (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t326 @t761)))))) % 34.88/35.11 (assume @p395 (forall @t378 (=> @t241 (= @t761 @t238)))) % 34.88/35.11 (assume @p396 (forall @t243 (=> @t242 (= @t761 @t191)))) % 34.88/35.11 (assume @p397 (forall @t243 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t781 @t203)))) % 34.88/35.11 (assume @p398 (forall @t243 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t781 @t157)))) % 34.88/35.11 (assume @p399 (forall @t786 @t785)) % 34.88/35.11 (assume @p400 (forall @t790 @t789)) % 34.88/35.11 (assume @p401 (forall @t786 @t791)) % 34.88/35.11 (assume @p402 (forall @t790 @t792)) % 34.88/35.11 (assume @p403 (forall (@list @t1 @t167 @t157 @t203) (= (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t759 @t169) @t287) @t787))) % 34.88/35.11 (assume @p404 (forall @t786 (and @t785 @t791))) % 34.88/35.11 (assume @p405 (forall @t790 (and @t789 @t792))) % 34.88/35.11 (assume @p406 (forall @t15 (=> @t585 @t796))) % 34.88/35.11 (assume @p407 (forall @t15 (=> @t84 @t796))) % 34.88/35.11 (assume @p408 (forall @t15 (=> @t585 @t797))) % 34.88/35.11 (assume @p409 (forall @t15 (=> @t84 @t797))) % 34.88/35.11 (assume @p410 (forall @t15 (=> @t84 (forall @t500 (= @t497 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t83 @t194) @t200) @t274)))))) % 34.88/35.11 (assume @p411 (forall @t15 (=> @t84 (forall @t622 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t496 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t83 @t200) @t298))) (and @t497 @t620)))))) % 34.88/35.11 (assume @p412 (forall @t15 (=> @t84 (forall @t615 (=> @t608 @t801))))) % 34.88/35.11 (assume @p413 (forall @t15 (=> @t84 (forall @t611 (=> @t607 @t801))))) % 34.88/35.11 (assume @p414 (forall @t15 (=> @t84 (forall @t473 (=> @t472 (= @t794 @t416)))))) % 34.88/35.11 (assume @p415 (forall @t15 (=> @t84 (forall @t482 (=> @t471 (= @t794 @t480)))))) % 34.88/35.11 (assume @p416 (forall @t15 (=> @t84 (forall @t619 (=> @t618 (=> @t617 @t802)))))) % 34.88/35.11 (assume @p417 (forall @t15 (=> @t84 (forall @t484 (=> @t472 (=> @t483 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t412 @t804)))))))) % 34.88/35.11 (assume @p418 (forall @t15 (=> @t84 (forall @t614 (=> @t492 (=> @t613 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t800 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t83 @t486) @t612))))))))) % 34.88/35.11 (assume @p419 (forall @t15 (=> @t84 (forall (@list @t411 @t485 @t354) (=> @t802 (not (=> @t618 (not @t617)))))))) % 34.88/35.11 (assume @p420 (forall @t15 (=> @t585 (forall @t473 (= (tptp.hAPP @t1 @t1 @t793 @t592) @t416))))) % 34.88/35.11 (assume @p421 (forall @t15 (=> @t585 (forall @t473 (= (tptp.hAPP @t1 @t1 @t590 @t794) @t416))))) % 34.88/35.11 (assume @p422 (forall @t15 (=> @t809 (forall @t593 @t808)))) % 34.88/35.11 (assume @p423 (forall @t15 (=> @t809 (forall @t593 @t812)))) % 34.88/35.11 (assume @p424 (forall @t15 (=> @t809 (forall @t814 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t83 @t589) @t411) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t85 @t813) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t83 @t475) @t411))))))) % 34.88/35.11 (assume @p425 (forall @t15 (=> @t809 (forall @t814 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t85 @t804) @t411) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t83 @t605) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t85 @t475) @t411))))))) % 34.88/35.11 (assume @p426 (forall @t15 (=> @t625 (forall @t413 (= (tptp.hAPP @t1 @t1 @t793 @t103) @t103))))) % 34.88/35.11 (assume @p427 (forall @t15 (=> @t625 (forall @t413 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t83 @t103) @t411) @t103))))) % 34.88/35.11 (assume @p428 (forall @t15 (=> @t84 (forall @t511 (= (tptp.hAPP @t1 @t1 @t798 @t485) @t494))))) % 34.88/35.11 (assume @p429 (forall @t15 (=> @t84 (forall @t413 (= (tptp.hAPP @t1 @t1 @t793 @t411) @t416))))) % 34.88/35.11 (assume @p430 (forall @t19 (=> @t581 (forall @t580 (= (tptp.hAPP @t1 @t3 (tptp.hAPP @t6 @t6 (tptp.hAPP @t6 @t579 (tptp.semilattice_inf_inf @t6) @t197) @t308) @t259) (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t27 (tptp.semilattice_inf_inf @t3) @t329) @t328)))))) % 34.88/35.11 (assume @p431 (forall @t15 (=> @t84 (forall @t604 (= @t799 (tptp.hAPP @t1 @t1 @t815 @t485)))))) % 34.88/35.11 (assume @p432 (forall @t15 (=> @t585 @t816))) % 34.88/35.11 (assume @p433 (forall @t15 (=> @t84 @t816))) % 34.88/35.11 (assume @p434 (forall @t15 (=> @t84 (forall @t604 (= (tptp.hAPP @t1 @t1 @t798 @t799) @t799))))) % 34.88/35.11 (assume @p435 (forall @t15 (=> @t585 @t817))) % 34.88/35.11 (assume @p436 (forall @t15 (=> @t84 @t817))) % 34.88/35.11 (assume @p437 (forall @t15 (=> @t84 (forall @t602 (= (tptp.hAPP @t1 @t1 @t815 (tptp.hAPP @t1 @t1 @t798 @t486)) @t818))))) % 34.88/35.11 (assume @p438 (forall @t15 (=> @t585 @t820))) % 34.88/35.11 (assume @p439 (forall @t15 (=> @t84 @t820))) % 34.88/35.11 (assume @p440 (forall @t15 (=> @t84 (forall @t599 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t83 @t799) @t486) @t818))))) % 34.88/35.11 (assume @p441 (forall @t15 (=> @t585 @t821))) % 34.88/35.11 (assume @p442 (forall @t15 (=> @t84 @t821))) % 34.88/35.11 (assume @p443 (forall @t79 (=> @t585 (forall @t584 (= (tptp.hAPP @t3 @t1 (tptp.hAPP @t17 @t17 (tptp.hAPP @t17 @t583 (tptp.semilattice_inf_inf @t17) @t197) @t308) @t194) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t83 @t257) @t582)))))) % 34.88/35.11 (assume @p444 (forall @t15 (=> @t585 (forall @t593 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t105 @t811) @t810)))))) % 34.88/35.11 (assume @p445 (forall @t15 (=> @t585 (forall @t593 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t105 @t806) @t807)))))) % 34.88/35.11 (assume @p446 (forall @t824 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t30 @t31 @t158 (tptp.hAPP @t33 @t30 @t251 @t823)) (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t759 @t252) @t333))))) % 34.88/35.11 (assume @p447 (forall @t440 (= (= (tptp.hAPP @t30 @t30 @t778 @t289) @t780) @t782))) % 34.88/35.11 (assume @p448 (forall (@list @t3 @t1 @t173 @t197 @t308 @t566) (= (tptp.hAPP @t33 @t30 (tptp.hAPP @t17 @t250 @t249 (tptp.hAPP @t17 @t17 (tptp.hAPP @t828 @t583 (tptp.combs @t3 @t1 @t1) (tptp.hAPP @t17 @t828 (tptp.hAPP @t827 (tptp.fun @t17 @t828) (tptp.combs @t3 @t1 @t14) (tptp.hAPP @t33 @t827 (tptp.hAPP @t82 (tptp.fun @t33 @t827) (tptp.combb tptp.bool @t38 @t3) @t81) @t173)) @t197)) @t308)) @t566) (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 (tptp.hAPP @t33 @t30 @t251 (tptp.hAPP @t33 @t33 @t826 (tptp.hAPP @t33 @t33 @t825 @t173)))) (tptp.hAPP @t33 @t30 (tptp.hAPP @t17 @t250 @t249 @t308) (tptp.hAPP @t33 @t33 @t826 (tptp.hAPP @t33 @t33 @t825 (tptp.hAPP @t33 @t33 (tptp.hAPP @t116 @t188 (tptp.combb tptp.bool tptp.bool @t3) tptp.fNot) @t173)))))))) % 34.88/35.11 (assume @p449 (forall (@list @t1 @t3 @t173 @t197 @t308) (= (tptp.hAPP @t406 @t30 @t405 (tptp.hAPP @t406 @t406 (tptp.hAPP @t834 (tptp.fun @t406 @t406) (tptp.combs @t1 @t95 @t95) (tptp.hAPP @t406 @t834 (tptp.hAPP @t833 (tptp.fun @t406 @t834) (tptp.combs @t1 @t95 @t831) (tptp.hAPP @t30 @t833 (tptp.hAPP (tptp.fun tptp.bool @t832) (tptp.fun @t30 @t833) (tptp.combb tptp.bool @t832 @t1) (tptp.if @t95)) @t173)) @t197)) @t308)) (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t759 @t830) @t182)) (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t759 @t829) (tptp.hAPP @t30 @t30 @t109 (tptp.hAPP @t30 @t30 @t282 @t173))))))) % 34.88/35.11 (assume @p450 (forall (@list @t1 @t172 @t173 @t157 @t203) (=> @t242 (=> (forall @t261 (=> @t265 @t709)) (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t30 @t31 @t158 @t773) (tptp.hAPP @t30 @t30 @t768 @t180))))))) % 34.88/35.11 (assume @p451 (forall @t15 (=> @t585 (forall @t593 (=> (forall @t837 (= (tptp.hAPP @t1 @t1 @t836 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t85 @t371) @t835)) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t85 (tptp.hAPP @t1 @t1 @t836 @t371)) (tptp.hAPP @t1 @t1 @t836 @t835)))) @t812))))) % 34.88/35.11 (assume @p452 (forall @t15 (=> @t585 (forall @t593 (=> (forall @t837 (= (tptp.hAPP @t1 @t1 @t838 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t83 @t371) @t835)) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t83 (tptp.hAPP @t1 @t1 @t838 @t371)) (tptp.hAPP @t1 @t1 @t838 @t835)))) @t808))))) % 34.88/35.11 (assume @p453 (forall @t700 (=> @t839 (=> @t698 (=> @t204 (=> (= @t823 @t185) @t697)))))) % 34.88/35.11 (assume @p454 (forall @t700 (=> @t839 (=> @t698 (=> @t204 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t197 @t696) (tptp.hAPP @t33 @t1 @t162 @t823)) @t695)))))) % 34.88/35.11 (assume @p455 (forall (@list @t3 @t1 @t197 @t298 @t308 @t162) (=> @t839 (= (tptp.hAPP @t33 @t1 @t162 @t185) @t299)))) % 34.88/35.11 (assume @p456 (forall @t703 (=> @t839 (=> @t698 (=> (not @t256) @t705))))) % 34.88/35.11 (assume @p457 (forall @t700 (=> @t839 (=> @t698 (=> @t204 (=> (forall @t261 (=> (tptp.hBOOL (tptp.hAPP @t33 tptp.bool @t300 @t823)) @t840)) @t697)))))) % 34.88/35.11 (assume @p458 (forall (@list @t3 @t1 @t157 @t197 @t298 @t308 @t162) (=> @t839 (=> @t698 (=> (forall @t261 (=> @t301 @t840)) (= @t694 @t299)))))) % 34.88/35.11 (assume @p459 (forall @t638 (=> @t680 (=> @t160 (=> @t196 (and (=> @t845 (= @t627 @t274)) (=> @t846 (= @t627 @t844)))))))) % 34.88/35.11 (assume @p460 (forall @t638 (=> @t680 (=> @t160 (and (=> @t845 (= @t636 @t274)) (=> @t846 (= @t636 @t844))))))) % 34.88/35.11 (assume @p461 (forall @t434 (=> @t246 (=> @t425 @t848)))) % 34.88/35.11 (assume @p462 (forall @t248 (=> @t848 (not @t247)))) % 34.88/35.11 (assume @p463 (forall @t378 (=> @t160 @t849))) % 34.88/35.11 (assume @p464 (forall @t292 (= (tptp.hAPP @t30 @t30 @t776 @t847) (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t841 @t777) (tptp.hAPP @t30 @t30 @t776 @t203))))) % 34.88/35.11 (assume @p465 (forall @t440 (= (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t841 @t761) @t289) (tptp.hAPP @t30 @t30 @t760 @t851)))) % 34.88/35.11 (assume @p466 (forall @t440 (= (tptp.hAPP @t30 @t30 @t854 @t289) @t853))) % 34.88/35.11 (assume @p467 (forall (@list @t1 @t157 @t289 @t203) (= @t853 (tptp.hAPP @t30 @t30 @t852 @t203)))) % 34.88/35.11 (assume @p468 (forall @t171 (=> @t235 (= @t856 @t191)))) % 34.88/35.11 (assume @p469 (forall @t278 (=> @t271 (= (tptp.hAPP @t30 @t30 @t857 @t211) @t191)))) % 34.88/35.11 (assume @p470 (forall @t171 (= @t856 @t169))) % 34.88/35.11 (assume @p471 (forall @t448 (= @t858 (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t841 @t855) @t203)))) % 34.88/35.11 (assume @p472 (forall @t448 (= @t858 (tptp.hAPP @t30 @t30 @t859 @t313)))) % 34.88/35.11 (assume @p473 (forall @t448 (= (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t858)) @t849))) % 34.88/35.11 (assume @p474 (forall @t243 (= (tptp.hAPP @t30 @t30 @t760 @t860) @t166))) % 34.88/35.11 (assume @p475 (forall @t243 (=> @t762 (= @t847 @t191)))) % 34.88/35.11 (assume @p476 (forall @t824 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t30 @t31 @t158 (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t841 @t252) @t333)) (tptp.hAPP @t33 @t30 @t251 (tptp.hAPP @t33 @t33 @t862 @t203)))))) % 34.88/35.11 (assume @p477 (forall @t243 (=> @t242 (= @t863 @t238)))) % 34.88/35.11 (assume @p478 (forall @t440 (= (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t864 @t289)) (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t212 @t438))))) % 34.88/35.11 (assume @p479 (forall @t440 (= (tptp.hAPP @t30 @t30 @t842 @t771) (tptp.hAPP @t30 @t30 @t866 @t865)))) % 34.88/35.11 (assume @p480 (forall @t440 (= (tptp.hAPP @t30 @t30 @t842 @t438) (tptp.hAPP @t30 @t30 @t854 @t865)))) % 34.88/35.11 (assume @p481 (forall @t243 (= (tptp.hAPP @t30 @t30 @t866 @t761) @t191))) % 34.88/35.11 (assume @p482 (forall @t161 (= (tptp.hAPP @t30 @t30 @t842 @t157) @t166))) % 34.88/35.11 (assume @p483 (forall @t161 (= (tptp.hAPP @t30 @t30 @t842 @t166) @t191))) % 34.88/35.11 (assume @p484 (forall @t161 (= (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t841 @t166) @t157) @t166))) % 34.88/35.11 (assume @p485 (forall @t243 (=> @t324 (= @t849 @t160)))) % 34.88/35.11 (assume @p486 (forall @t869 @t868)) % 34.88/35.11 (assume @p487 (forall @t869 (and @t868 (=> @t270 (= @t867 (tptp.hAPP @t30 @t30 @t210 @t847)))))) % 34.88/35.11 (assume @p488 (forall @t292 (=> @t242 (=> @t291 (= (tptp.hAPP @t30 @t30 @t850 (tptp.hAPP @t30 @t30 @t870 @t157)) @t191))))) % 34.88/35.11 (assume @p489 (forall (@list @t1 @t325 @t203 @t157 @t289) (=> @t290 (=> (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t30 @t31 @t158 @t325) @t203)) (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t864 (tptp.hAPP @t30 @t30 @t870 @t325))))))) % 34.88/35.11 (assume @p490 (forall @t243 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t864 @t157)))) % 34.88/35.11 (assume @p491 (forall @t243 (= @t847 (tptp.hAPP @t30 @t30 @t109 (tptp.hAPP @t30 @t30 @t389 (tptp.hAPP @t30 @t30 @t282 @t285)))))) % 34.88/35.11 (assume @p492 (forall @t248 (= @t848 (and @t246 @t425)))) % 34.88/35.11 (assume @p493 (forall @t243 (= (tptp.hAPP @t30 @t30 @t859 @t203) @t847))) % 34.88/35.11 (assume @p494 (forall @t248 (=> @t848 @t246))) % 34.88/35.11 (assume @p495 (forall @t248 (=> @t848 @t425))) % 34.88/35.11 (assume @p496 (forall @t440 (= (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t841 @t423) @t289) (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 @t865) @t851)))) % 34.88/35.11 (assume @p497 (forall @t378 (= (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 @t860) @t157) @t442))) % 34.88/35.11 (assume @p498 (forall @t243 (= @t863 @t423))) % 34.88/35.11 (assume @p499 (forall @t19 (=> @t54 (forall (@list @t157 @t203 @t259) (= (tptp.hAPP @t1 @t3 (tptp.hAPP @t6 @t6 (tptp.hAPP @t6 @t579 (tptp.minus_minus @t6) @t157) @t203) @t259) (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t27 @t53 (tptp.hAPP @t1 @t3 @t157 @t259)) (tptp.hAPP @t1 @t3 @t203 @t259))))))) % 34.88/35.11 (assume @p500 (forall @t79 (=> (tptp.minus @t1) (forall (@list @t157 @t203 @t194) (= (tptp.hAPP @t3 @t1 (tptp.hAPP @t17 @t17 (tptp.hAPP @t17 @t583 (tptp.minus_minus @t17) @t157) @t203) @t194) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t871 (tptp.hAPP @t3 @t1 @t157 @t194)) (tptp.hAPP @t3 @t1 @t203 @t194))))))) % 34.88/35.11 (assume @p501 (forall @t869 (= @t332 (and (=> @t196 @t872) (=> @t271 @t242))))) % 34.88/35.11 (assume @p502 (forall @t869 (=> @t872 (=> @t196 @t332)))) % 34.88/35.11 (assume @p503 (forall @t703 (=> @t839 (=> @t698 (=> @t256 (= @t694 @t873)))))) % 34.88/35.11 (assume @p504 (forall @t703 (=> @t839 (=> @t698 (= @t704 @t873))))) % 34.88/35.11 (assume @p505 (forall (@list @t1 @t173 @t157) (=> @t160 (=> (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t173 @t157)) (=> (forall (@list @t365 @t384) (=> @t385 (=> (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t368 @t384)) (=> (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t173 @t384)) (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t173 (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t841 @t384) (tptp.hAPP @t30 @t30 @t366 @t166)))))))) @t370))))) % 34.88/35.11 (assume @p506 (forall (@list @t1 @t3 @t197 @t308 @t157) (= (tptp.hAPP @t406 @t30 @t405 (tptp.hAPP @t30 @t406 (tptp.hAPP @t406 @t874 (tptp.hAPP @t406 (tptp.fun @t406 @t874) (tptp.override_on @t1 @t95) @t197) @t308) @t157)) (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t421 (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 @t110 @t841 @t830) (tptp.hAPP @t30 @t30 @t109 (tptp.hAPP @t30 @t30 @t284 (tptp.hAPP @t30 @t30 @t842 @t829))))) (tptp.hAPP @t30 @t30 @t109 (tptp.hAPP @t30 @t30 @t284 (tptp.hAPP @t30 @t30 @t760 @t829))))))) % 34.88/35.11 (assume @p507 (forall @t331 (= (tptp.hAPP @t30 @t6 @t875 @t166) @t327))) % 34.88/35.11 (assume @p508 (forall @t15 (=> (tptp.ordered_ab_group_add @t1) (forall @t877 (=> @t876 (= @t756 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t750 @t318)))))))) % 34.88/35.11 (assume @p509 (forall @t15 (=> (tptp.ab_group_add @t1) (forall @t877 (=> @t876 (= @t232 (= @t317 @t319))))))) % 34.88/35.11 (assume @p510 (forall @t880 (=> @t235 (= @t879 (tptp.hAPP @t1 @t3 @t308 @t167))))) % 34.88/35.11 (assume @p511 (forall @t880 (=> @t258 (= @t879 @t738)))) % 34.88/35.11 (assume @p512 (forall (@list @t3 @t1 @t197 @t308 @t157 @t259) (and (=> @t265 (= @t881 @t328)) (=> @t266 (= @t881 @t329))))) % 34.88/35.11 (assume @p513 (forall (@list @t1 @t157 @t226) (and (=> @t883 (= @t882 @t230)) (=> (not @t883) (= @t882 (tptp.hAPP @t30 @t1 @t56 (tptp.hAPP @t30 @t30 @t284 (tptp.hAPP @t30 @t30 @t842 @t312)))))))) % 34.88/35.11 (assume @p514 (forall @t15 (tptp.hBOOL (tptp.hAPP @t113 tptp.bool @t885 (tptp.hAPP @t106 @t113 (tptp.hAPP @t884 (tptp.fun @t106 @t113) (tptp.combb @t30 @t110 @t1) (tptp.hAPP @t884 @t884 (tptp.combc @t30 @t30 @t30) @t841)) @t653))))) % 34.88/35.11 (assume @p515 (forall (@list @t1 @t3 @t194 @t298 @t197) (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t26 @t197)) (= (tptp.hAPP @t3 @t3 @t886 @t887) @t887)))) % 34.88/35.11 (assume @p516 (forall @t15 (=> @t84 (tptp.hBOOL (tptp.hAPP @t38 tptp.bool @t888 @t83))))) % 34.88/35.11 (assume @p517 (forall @t15 (=> @t86 (tptp.hBOOL (tptp.hAPP @t38 tptp.bool @t888 @t85))))) % 34.88/35.11 (assume @p518 (forall @t15 (tptp.hBOOL (tptp.hAPP @t113 tptp.bool @t885 @t112)))) % 34.88/35.11 (assume @p519 (forall (@list @t3 @t1 @t197 @t200 @t194 @t157) (and (=> @t196 (= @t892 (tptp.hAPP @t33 @t33 (tptp.hAPP @t3 @t188 @t187 @t200) (tptp.hAPP @t30 @t33 @t205 @t843)))) (=> @t271 (= @t892 @t206))))) % 34.88/35.11 (assume @p520 (forall (@list @t3 @t1 @t197 @t298 @t200 @t194 @t157) (=> @t196 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t30 @t33 @t893 @t843) @t200)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t30 @t33 @t893 @t157) (tptp.hAPP @t3 @t3 @t886 @t200))))))) % 34.88/35.11 (assume @p521 (forall (@list @t3 @t1 @t197 @t194) (= (tptp.hAPP @t3 @t6 @t890 @t294) @t327))) % 34.88/35.11 (assume @p522 (forall (@list @t3 @t1 @t340 @t200 @t194 @t157) (=> @t271 (= (tptp.hAPP @t30 @t895 (tptp.hAPP @t406 @t896 @t894 (tptp.hAPP @t95 @t406 (tptp.hAPP @t1 @t899 @t901 @t194) @t897)) @t157) (tptp.hAPP @t30 @t895 (tptp.hAPP @t406 @t896 @t894 @t340) @t157))))) % 34.88/35.11 (assume @p523 (forall (@list @t3 @t1 @t340 @t167 @t194 @t904 @t200) (=> (= (tptp.hAPP @t95 @t406 (tptp.hAPP @t1 @t899 @t901 @t167) @t905) (tptp.hAPP @t95 @t406 (tptp.hAPP @t1 @t899 (tptp.hAPP @t406 @t900 @t898 @t904) @t167) @t897)) (= @t903 @t902)))) % 34.88/35.11 (assume @p524 (forall (@list @t3 @t1 @t140 @t906 @t194) (=> (= (tptp.hAPP @t3 @t88 @t140 @t906) @t577) (= (tptp.hAPP @t88 @t89 (tptp.hAPP @t3 @t908 (tptp.hAPP @t89 @t909 @t907 @t140) @t906) @t577) (tptp.ti @t89 @t140))))) % 34.88/35.11 (assume @p525 (forall (@list @t3 @t1 @t340 @t167 @t226 @t194 @t200) (= (= (tptp.hAPP @t3 @t88 (tptp.hAPP @t88 @t89 (tptp.hAPP @t3 @t908 (tptp.hAPP @t89 @t909 @t907 @t340) @t167) @t341) @t194) @t201) (or (and @t910 (= @t230 @t275)) (and (not @t910) (= (tptp.hAPP @t3 @t88 @t340 @t194) @t201)))))) % 34.88/35.11 (assume @p526 (forall (@list @t3 @t1 @t197 @t298) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t30 @t33 @t893 @t166) @t298)))) % 34.88/35.11 (assume @p527 (forall @t202 (= (= @t891 @t327) (= @t294 @t902)))) % 34.88/35.11 (assume @p528 (forall (@list @t3 @t1 @t197 @t194 @t200 @t298) (= (tptp.hAPP @t3 @t6 (tptp.hAPP @t1 @t47 (tptp.hAPP @t6 @t48 @t46 @t891) @t194) @t298) (tptp.hAPP @t3 @t6 @t890 @t298)))) % 34.88/35.11 (assume @p529 (forall @t202 (= (tptp.hAPP @t3 @t1 @t911 @t194) @t275))) % 34.88/35.11 (assume @p530 (forall @t915 (and (=> @t913 (= @t912 @t902)) @t914))) % 34.88/35.11 (assume @p531 (forall (@list @t3 @t1 @t340 @t226 @t318 @t167 @t186) (=> (not @t320) (= (tptp.hAPP @t3 @t6 (tptp.hAPP @t1 @t47 (tptp.hAPP @t6 @t48 @t46 (tptp.hAPP @t3 @t6 (tptp.hAPP @t1 @t47 @t916 @t167) @t226)) @t186) @t318) (tptp.hAPP @t3 @t6 (tptp.hAPP @t1 @t47 (tptp.hAPP @t6 @t48 @t46 (tptp.hAPP @t3 @t6 (tptp.hAPP @t1 @t47 @t916 @t186) @t318)) @t167) @t226))))) % 34.88/35.11 (assume @p532 (forall @t915 @t914)) % 34.88/35.11 (assume @p533 (forall @t202 (=> (= @t257 @t275) (= @t911 (tptp.ti @t17 @t197))))) % 34.88/35.11 (assume @p534 (forall (@list @t3 @t1 @t197 @t226 @t167 @t259) (and (=> @t686 (= @t917 @t295)) (=> (not @t686) (= @t917 @t329))))) % 34.88/35.11 (assume @p535 (forall @t824 (= @t922 (and @t921 @t920 (= (tptp.hAPP @t33 @t33 (tptp.hAPP @t33 @t188 @t822 @t918) (tptp.hAPP @t30 @t33 @t205 @t860)) @t185))))) % 34.88/35.11 (assume @p536 (forall (@list @t1 @t3 @t197 @t194) (= (= @t830 @t211) (exists (@list @t923) (= (tptp.ti @t406 @t197) (tptp.hAPP @t95 @t406 @t924 (tptp.hAPP @t3 @t95 @t403 @t923))))))) % 34.88/35.11 (assume @p537 (forall @t925 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t919 @t166)))) % 34.88/35.11 (assume @p538 (forall (@list @t1 @t3 @t194 @t259) (= (tptp.hAPP @t1 @t95 (tptp.hAPP @t95 @t406 @t924 @t94) @t259) @t94))) % 34.88/35.11 (assume @p539 (forall (@list @t1 @t3 @t140 @t906 @t194) (not (forall @t261 (= (tptp.hAPP @t1 @t95 (tptp.hAPP @t95 @t406 (tptp.hAPP @t1 @t899 (tptp.hAPP @t406 @t900 @t898 @t140) @t906) @t905) @t259) @t94))))) % 34.88/35.11 (assume @p540 (forall @t926 (=> @t921 (=> (not (tptp.hBOOL (tptp.hAPP @t33 tptp.bool (tptp.hAPP @t3 @t208 @t255 @t200) @t206))) (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t6 @t31 @t49 @t891) @t157)))))) % 34.88/35.11 (assume @p541 (forall @t339 (=> @t921 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t919 @t847))))) % 34.88/35.11 (assume @p542 (forall @t928 (=> @t927 (=> @t290 (=> @t291 (= @t918 (tptp.hAPP @t33 @t33 (tptp.hAPP @t33 @t188 @t861 @t206) @t334))))))) % 34.88/35.11 (assume @p543 (forall @t339 (=> @t921 (=> @t920 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t919 @t761)))))) % 34.88/35.11 (assume @p544 (forall @t928 (=> @t927 (=> @t290 (=> @t291 (= (tptp.hAPP @t30 @t33 @t205 @t761) (tptp.hAPP @t33 @t33 (tptp.hAPP @t33 @t188 @t822 @t206) @t334))))))) % 34.88/35.11 (assume @p545 (forall @t824 (=> @t922 (= (= @t206 @t334) @t239)))) % 34.88/35.11 (assume @p546 (forall @t926 (=> @t921 (=> @t930 (=> @t196 (=> @t929 @t495)))))) % 34.88/35.11 (assume @p547 (forall (@list @t1 @t3 @t200 @t194 @t197 @t157) (=> @t921 (=> @t196 (=> @t929 (= @t930 @t495)))))) % 34.88/35.11 (assume @p548 (forall @t926 (=> @t921 (=> (not @t495) (=> @t196 (=> @t929 (not @t930))))))) % 34.88/35.11 (assume @p549 (forall @t323 (= @t921 (forall @t261 (=> @t265 (forall @t767 (=> (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t766 @t157)) (=> (= @t329 (tptp.hAPP @t1 @t3 @t197 @t304)) @t765)))))))) % 34.88/35.11 (assume @p550 (forall @t161 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t14 @t31 (tptp.inj_on @t1 @t1) @t13) @t157)))) % 34.88/35.11 (assume @p551 (forall (@list @t1 @t3 @t157 @t197 @t203) (=> @t920 (=> @t242 @t921)))) % 34.88/35.11 (assume @p552 (forall @t161 (tptp.hBOOL (tptp.hAPP @t30 tptp.bool (tptp.hAPP @t97 @t31 (tptp.inj_on @t1 @t88) @t96) @t157)))) % 34.88/35.11 (assume @p553 (forall (@list @t1 @t3 @t340) (= @t407 (tptp.hAPP @t30 @t30 @t109 (tptp.hAPP @t30 @t30 @t282 (tptp.hAPP @t95 @t30 (tptp.hAPP @t931 (tptp.fun @t95 @t30) (tptp.combc @t1 @t95 tptp.bool) (tptp.hAPP @t406 @t931 (tptp.hAPP (tptp.fun @t95 @t895) (tptp.fun @t406 @t931) (tptp.combb @t95 @t895 @t1) (tptp.fequal @t95)) @t340)) @t94)))))) % 34.88/35.11 (assume @p554 (forall @t409 (= @t408 (not (= @t404 @t94))))) % 34.88/35.11 (assume @p555 (forall @t410 (= (not @t935) (exists @t374 @t933)))) % 34.88/35.11 (assume @p556 (forall @t410 (= (forall @t374 (not @t933)) @t935))) % 34.88/35.11 (assume @p557 (forall @t938 (not (= @t937 @t934)))) % 34.88/35.11 (assume @p558 (forall @t938 (not (= @t934 @t937)))) % 34.88/35.11 (assume @p559 (forall (@list @t3 @t1 @t573 @t706) (= (tptp.hAPP @t95 @t1 @t707 @t94) (tptp.ti @t1 @t573)))) % 34.88/35.11 (assume @p560 (forall @t925 (= (= @t830 @t166) (forall @t261 (= (tptp.hAPP @t1 @t95 @t197 @t259) @t94))))) % 34.88/35.11 (assume @p561 (forall @t323 (=> (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t29 @t252)) (=> (tptp.hBOOL (tptp.hAPP @t33 tptp.bool (tptp.hAPP @t17 @t208 (tptp.inj_on @t3 @t1) @t197) @t157)) @t698)))) % 34.88/35.11 (assume @p562 (tptp.bounded_lattice tptp.bool)) % 34.88/35.11 (assume @p563 (forall @t943 (=> @t942 (tptp.bounded_lattice @t941)))) % 34.88/35.11 (assume @p564 (forall @t943 (=> @t942 (tptp.bounded_lattice_bot @t941)))) % 34.88/35.11 (assume @p565 (forall @t943 (=> @t944 (tptp.semilattice_sup @t941)))) % 34.88/35.11 (assume @p566 (forall @t943 (=> @t944 (tptp.semilattice_inf @t941)))) % 34.88/35.11 (assume @p567 (forall @t943 (=> (tptp.distrib_lattice @t939) (tptp.distrib_lattice @t941)))) % 34.88/35.11 (assume @p568 (forall @t943 (=> (tptp.preorder @t939) (tptp.preorder @t941)))) % 34.88/35.11 (assume @p569 (forall @t943 (=> (and @t945 (tptp.finite_finite_1 @t940)) (tptp.finite_finite_1 @t941)))) % 34.88/35.11 (assume @p570 (forall @t943 (=> @t944 (tptp.lattice @t941)))) % 34.88/35.11 (assume @p571 (forall @t943 (=> (tptp.order @t939) (tptp.order @t941)))) % 34.88/35.11 (assume @p572 (forall @t943 (=> (tptp.ord @t939) (tptp.ord @t941)))) % 34.88/35.11 (assume @p573 (forall @t943 (=> (tptp.bot @t939) (tptp.bot @t941)))) % 34.88/35.11 (assume @p574 (forall @t943 (=> (tptp.minus @t939) (tptp.minus @t941)))) % 34.88/35.11 (assume @p575 (tptp.bounded_lattice_bot tptp.bool)) % 34.88/35.11 (assume @p576 (tptp.semilattice_sup tptp.bool)) % 34.88/35.11 (assume @p577 (tptp.semilattice_inf tptp.bool)) % 34.88/35.11 (assume @p578 (tptp.distrib_lattice tptp.bool)) % 34.88/35.11 (assume @p579 (tptp.preorder tptp.bool)) % 34.88/35.11 (assume @p580 (tptp.finite_finite_1 tptp.bool)) % 34.88/35.11 (assume @p581 (tptp.lattice tptp.bool)) % 34.88/35.11 (assume @p582 (tptp.order tptp.bool)) % 34.88/35.11 (assume @p583 (tptp.ord tptp.bool)) % 34.88/35.11 (assume @p584 (tptp.bot tptp.bool)) % 34.88/35.11 (assume @p585 (tptp.minus tptp.bool)) % 34.88/35.11 (assume @p586 (forall (@list @t939) (=> @t945 (tptp.finite_finite_1 (tptp.option @t939))))) % 34.88/35.11 (assume @p587 (forall (@list @t947 @t946) (= (tptp.ti @t947 @t948) @t948))) % 34.88/35.11 (assume @p588 (forall @t949 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 (tptp.hAPP tptp.bool @t38 @t81 tptp.fTrue) @t411) @t469) @t416))) % 34.88/35.11 (assume @p589 (forall @t949 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 (tptp.hAPP tptp.bool @t38 @t81 tptp.fFalse) @t411) @t469) @t480))) % 34.88/35.11 (assume @p590 (forall @t376 (or (= @t950 tptp.fTrue) (= @t950 tptp.fFalse)))) % 34.88/35.11 (assume @p591 (forall (@list @t1 @t411 @t372) (or (not (tptp.hBOOL (tptp.hAPP @t30 tptp.bool @t115 @t372))) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t372 @t411))))) % 34.88/35.11 (assume @p592 (forall @t376 (or (not @t953) @t952))) % 34.88/35.11 (assume @p593 (forall @t376 (or @t951 @t953))) % 34.88/35.11 (assume @p594 (forall @t957 (= (tptp.hAPP @t1 @t2 (tptp.hAPP @t6 @t5 (tptp.hAPP @t8 @t7 @t4 @t372) @t955) @t954) (tptp.hAPP @t3 @t2 @t372 @t956)))) % 34.88/35.11 (assume @p595 (forall @t957 (= (tptp.hAPP @t1 @t2 (tptp.hAPP @t3 @t5 (tptp.hAPP @t11 @t10 @t9 @t372) @t955) @t954) (tptp.hAPP @t3 @t2 @t958 @t955)))) % 34.88/35.11 (assume @p596 (forall (@list @t1 @t372) (= (tptp.hAPP @t1 @t1 @t13 @t372) @t959))) % 34.88/35.11 (assume @p597 (forall (@list @t3 @t1 @t372 @t955) (= (tptp.hAPP @t3 @t1 (tptp.hAPP @t1 @t17 @t16 @t372) @t955) @t959))) % 34.88/35.11 (assume @p598 (forall @t957 (= (tptp.hAPP @t1 @t2 (tptp.hAPP @t6 @t5 (tptp.hAPP @t11 @t7 @t20 @t372) @t955) @t954) (tptp.hAPP @t3 @t2 @t958 @t956)))) % 34.88/35.11 (assume @p599 (forall @t963 (or @t952 @t962 @t960))) % 34.88/35.11 (assume @p600 (forall @t965 (or @t964 @t951))) % 34.88/35.11 (assume @p601 (forall @t965 (or @t964 @t961))) % 34.88/35.11 (assume @p602 (forall @t963 (or @t952 @t966))) % 34.88/35.11 (assume @p603 (forall @t965 (or @t962 @t966))) % 34.88/35.11 (assume @p604 (forall @t965 (or (not @t966) @t951 @t961))) % 34.88/35.11 (assume @p605 (not (tptp.hBOOL tptp.fFalse))) % 34.88/35.11 (assume @p606 (forall @t949 (or (not @t967) @t481))) % 34.88/35.11 (assume @p607 (forall @t949 (or (not @t481) @t967))) % 34.88/35.11 (assume @p608 (forall @t963 (or @t951 @t968))) % 34.88/35.11 (assume @p609 (forall @t965 (or @t962 @t968))) % 34.88/35.11 (assume @p610 (forall @t965 (or (not @t968) @t952 @t961))) % 34.88/35.11 (assume @p611 @t221) % 34.88/35.11 (assume @p612 @t219) % 34.88/35.11 (assume @p613 (tptp.hBOOL (tptp.hAPP @t125 tptp.bool (tptp.finite_finite @t58) tptp.fa))) % 34.88/35.11 (assume @p614 (not (tptp.hBOOL (tptp.hAPP @t125 tptp.bool (tptp.hAPP @t58 @t153 (tptp.member @t58) @t969) tptp.fa)))) % 34.88/35.11 (assume @p615 (tptp.hBOOL (tptp.hAPP @t125 tptp.bool (tptp.hAPP @t125 @t153 (tptp.ord_less_eq @t125) tptp.fa) (tptp.hAPP @t350 @t125 @t401 @t351)))) % 34.88/35.11 (assume @p616 @t970) % 34.88/35.11 (assume @p617 (tptp.hBOOL (tptp.hAPP @t125 tptp.bool @t972 tptp.fa))) % 34.88/35.11 (assume @p618 (not @t974)) % 34.88/35.11 (assume @p619 true) % 34.88/35.11 (step @p620 :rule aci_norm :args ((= (or @t976 (or @t975 @t130)) @t977))) % 34.88/35.11 (step @p621 :rule bool-impl-elim :args (@t137 @t130)) % 34.88/35.11 (step @p622 :rule refl :args (@t976)) % 34.88/35.11 (step @p623 :rule nary_cong :premises (@p622 @p621) :args ((or @t976 @t138))) % 34.88/35.11 (step @p624 :rule trans :premises (@p623 @p620)) % 34.88/35.11 (step @p625 :rule bool-impl-elim :args (@t135 @t138)) % 34.88/35.11 (step @p626 :rule trans :premises (@p625 @p624)) % 34.88/35.11 (step @p627 :rule cong :premises (@p626) :args (@t139)) % 34.88/35.11 (step @p628 :rule eq_resolve :premises (@p70 @p627)) % 34.88/35.11 (step @p629 :rule quant-miniscope-or :args ((= (forall @t222 @t983) (or @t982 @t981 @t980)))) % 34.88/35.11 (step @p630 :rule aci_norm :args ((= @t984 @t983))) % 34.88/35.11 (step @p631 :rule cong :premises (@p630) :args ((forall @t222 @t984))) % 34.88/35.11 (step @p632 :rule trans :premises (@p631 @p629)) % 34.88/35.11 (step @p633 :rule aci_norm :args ((= (or @t982 @t985) @t984))) % 34.88/35.11 (step @p634 :rule aci_norm :args ((= (or @t981 @t979) @t985))) % 34.88/35.11 (step @p635 :rule bool-impl-elim :args (@t217 @t216)) % 34.88/35.11 (step @p636 :rule refl :args (@t981)) % 34.88/35.11 (step @p637 :rule nary_cong :premises (@p636 @p635) :args ((or @t981 @t218))) % 34.88/35.11 (step @p638 :rule trans :premises (@p637 @p634)) % 34.88/35.11 (step @p639 :rule bool-impl-elim :args (@t219 @t218)) % 34.88/35.11 (step @p640 :rule trans :premises (@p639 @p638)) % 34.88/35.11 (step @p641 :rule refl :args (@t982)) % 34.88/35.11 (step @p642 :rule nary_cong :premises (@p641 @p640) :args ((or @t982 @t220))) % 34.88/35.11 (step @p643 :rule trans :premises (@p642 @p633)) % 34.88/35.11 (step @p644 :rule bool-impl-elim :args (@t221 @t220)) % 34.88/35.11 (step @p645 :rule trans :premises (@p644 @p643)) % 34.88/35.11 (step @p646 :rule cong :premises (@p645) :args (@t223)) % 34.88/35.11 (step @p647 :rule trans :premises (@p646 @p632)) % 34.88/35.11 (step @p648 :rule eq_resolve :premises (@p85 @p647)) % 34.88/35.11 (step @p649 :rule chain_m_resolution :premises (@p648 @p611 @p612) :args (@t980 @t986 (@list @t221 @t219))) % 34.88/35.11 (step @p650 :rule instantiate :premises (@p649) :args ((@list tptp.y))) % 34.88/35.11 (step @p651 :rule quant-miniscope-or :args ((= (forall @t361 @t990) (or @t981 @t989)))) % 34.88/35.11 (step @p652 :rule aci_norm :args ((= @t991 @t990))) % 34.88/35.11 (step @p653 :rule cong :premises (@p652) :args ((forall @t361 @t991))) % 34.88/35.11 (step @p654 :rule trans :premises (@p653 @p651)) % 34.88/35.11 (step @p655 :rule aci_norm :args ((= @t990 @t991))) % 34.88/35.11 (step @p656 :rule bool-impl-elim :args (@t359 @t355)) % 34.88/35.11 (step @p657 :rule nary_cong :premises (@p636 @p656) :args ((or @t981 @t360))) % 34.88/35.11 (step @p658 :rule trans :premises (@p657 @p655)) % 34.88/35.11 (step @p659 :rule bool-impl-elim :args (@t219 @t360)) % 34.88/35.11 (step @p660 :rule trans :premises (@p659 @p658)) % 34.88/35.11 (step @p661 :rule cong :premises (@p660) :args (@t362)) % 34.88/35.11 (step @p662 :rule trans :premises (@p661 @p654)) % 34.88/35.11 (step @p663 :rule eq_resolve :premises (@p156 @p662)) % 34.88/35.11 (step @p664 :rule chain_m_resolution :premises (@p663 @p612) :args (@t989 (@list false) (@list @t219))) % 34.88/35.11 (step @p665 :rule instantiate :premises (@p664) :args ((@list tptp.pn tptp.y))) % 34.88/35.11 (step @p666 :rule cnf_or_pos :args (@t994)) % 34.88/35.11 (step @p667 :rule reordering :premises (@p666) :args ((or @t993 @t992 (not @t994)))) % 34.88/35.11 (step @p668 :rule chain_m_resolution :premises (@p667 @p616 @p665) :args (@t992 @t986 (@list @t970 @t994))) % 34.88/35.11 (step @p669 :rule cnf_or_pos :args (@t997)) % 34.88/35.11 (step @p670 :rule reordering :premises (@p669) :args ((or @t996 @t995 (not @t997)))) % 34.88/35.11 (step @p671 :rule chain_m_resolution :premises (@p670 @p668 @p650) :args (@t995 @t986 (@list @t992 @t997))) % 34.88/35.11 (step @p672 :rule instantiate :premises (@p66) :args ((@list tptp.state @t971))) % 34.88/35.11 (step @p673 :rule cnf_or_pos :args (@t1001)) % 34.88/35.11 (step @p674 :rule reordering :premises (@p673) :args ((or @t974 @t999 @t1000 @t1002))) % 34.88/35.11 (step @p675 :rule chain_m_resolution :premises (@p674 @p618 @p672 @p671) :args (@t1002 (@list true false false) (@list @t974 @t998 @t995))) % 34.88/35.11 (assume-push @p682 @t1003) % 34.88/35.11 (step @p677 :rule instantiate :premises (@p628) :args ((@list tptp.state @t971 @t146 @t973))) % 34.88/35.11 (step-pop @p683 :rule scope :premises (@p677)) % 34.88/35.11 (step @p678 :rule process_scope :premises (@p683) :args (@t1001)) % 34.88/35.11 (step @p680 :rule implies_elim :premises (@p678)) % 34.88/35.11 (step @p681 false :rule chain_m_resolution :premises (@p680 @p675 @p628) :args (false (@list true false) (@list @t1001 @t1003))) % 34.88/35.11 ) % 34.88/35.11 % SZS output end Proof % 34.88/35.12 % cvc5 exiting %------------------------------------------------------------------------------