%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW470+7 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 09:05:00 AM UTC 2026 % Result : Theorem 55.33s 55.55s % Output : Proof 55.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW470+7 : TPTP v9.2.1. Released v5.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 22:03:23 EDT 2026 % 0.17/0.34 % CPUTime : % 0.52/1.00 %----Proving TF0_NAR, FOF, or CNF % 55.33/55.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 55.33/55.55 --- Run --no-e-matching --full-saturate-quant at 6... % 55.33/55.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 55.33/55.55 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 55.33/55.55 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 55.33/55.55 % SZS status Theorem % 55.33/55.55 % SZS output start Proof % 55.33/55.55 ( % 55.33/55.55 (declare-sort $$unsorted 0) % 55.33/55.55 (declare-const tptp.linord20386208strict (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.linord581940658strict (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.linordered_ring (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.dense_linorder (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.linordered_idom (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.ordere223160158up_add (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.hoare_759811442triple (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.ab_group_add (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.finite_comp_fun_idem (-> $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.ordere216010020id_add (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.finite100568337ommute (-> $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.zero_zero (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.power (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.times_times (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.fconj $$unsorted) % 55.33/55.55 (declare-const tptp.minus (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.big_co1399186613setsum (-> $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.finite908156982e_idem (-> $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.ord_lessThan (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.finite1357897459simple (-> $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.finite_fold1 (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.hoare_1301688828derivs (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.p $$unsorted) % 55.33/55.55 (declare-const tptp.one (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.the_elem (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.finite_fold (-> $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.one_one (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.comm_monoid_add (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.collect (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.hoare_225284258e_case (-> $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.big_linorder_Max (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.ord_greaterThan (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.finite_fold_graph (-> $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.linord893533164strict (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.com $$unsorted) % 55.33/55.55 (declare-const tptp.ti (-> $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.ab_semigroup_add (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.big_Sup_fin (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.uminus_uminus (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.finite_folding_one (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.big_co302546470etprod (-> $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.ordere236663937imp_le (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.undefined (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.x_a $$unsorted) % 55.33/55.55 (declare-const tptp.combs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.max (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.fTrue $$unsorted) % 55.33/55.55 (declare-const tptp.fun (-> $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.combi (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.hoare_2118899576triple (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.linorder (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.finite_finite_1 (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.finite2073411215e_idem (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.semiring_char_0 (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.bool $$unsorted) % 55.33/55.55 (declare-const tptp.the (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.semiring (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.ass $$unsorted) % 55.33/55.55 (declare-const tptp.fequal (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.combc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.combk (-> $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.bot_bot (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.boolean_algebra (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.big_linorder_Min (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.ord_gr1471790799AtMost (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.finite_finite (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.nat $$unsorted) % 55.33/55.55 (declare-const tptp.cancel_semigroup_add (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.state $$unsorted) % 55.33/55.55 (declare-const tptp.fdisj $$unsorted) % 55.33/55.55 (declare-const tptp.min (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.vname $$unsorted) % 55.33/55.55 (declare-const tptp.comm_ring_1 (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.skip $$unsorted) % 55.33/55.55 (declare-const tptp.fimplies $$unsorted) % 55.33/55.55 (declare-const tptp.ordered_ring (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.combb (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.if (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.finite_card (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.uminus (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.ord_less_eq (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.comm_monoid_mult (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.big_semilattice_big (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.hoare_1759541758le_rec (-> $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.ab_sem1668676832m_mult (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.semiring_1_of_nat (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.semiring_1 (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.update $$unsorted) % 55.33/55.55 (declare-const tptp.semiri456707255roduct (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.comm_semiring (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.fold_graph (-> $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.fEx (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.bot (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.ord (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.ring (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.ord_less (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.ord_min (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.partial_flat_lub (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.power_1 (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.power_power (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.preorder (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.finite_fold1Set (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.ord_atLeastAtMost (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.order (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.c $$unsorted) % 55.33/55.55 (declare-const tptp.insert (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.plus_plus (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.fFalse $$unsorted) % 55.33/55.55 (declare-const tptp.fNot $$unsorted) % 55.33/55.55 (declare-const tptp.ordered_ab_group_add (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.ab_semigroup_mult (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.int $$unsorted) % 55.33/55.55 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.member (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.g $$unsorted) % 55.33/55.55 (declare-const tptp.idom (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.linordered_semidom (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.big_Inf_fin (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.b $$unsorted) % 55.33/55.55 (declare-const tptp.comm_semiring_1 (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.semiring_0 (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.group_add (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.cancel146912293up_add (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.minus_minus (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.ring_11004092258visors (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.semi $$unsorted) % 55.33/55.55 (declare-const tptp.ordere779506340up_add (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.ord_max (-> $$unsorted $$unsorted)) % 55.33/55.55 (declare-const tptp.linord219039673up_add (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.linord2061991079up_add (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.monoid_mult (-> $$unsorted Bool)) % 55.33/55.55 (declare-const tptp.ring_1 (-> $$unsorted Bool)) % 55.33/55.55 (define @t1 () (@var "X_b" $$unsorted)) % 55.33/55.55 (define @t2 () (@var "X_c" $$unsorted)) % 55.33/55.55 (define @t3 () (tptp.big_co1399186613setsum @t2 @t1)) % 55.33/55.55 (define @t4 () (tptp.fun @t2 tptp.bool)) % 55.33/55.55 (define @t5 () (tptp.fun @t4 @t1)) % 55.33/55.55 (define @t6 () (tptp.fun @t2 @t1)) % 55.33/55.55 (define @t7 () (tptp.fun @t6 @t5)) % 55.33/55.55 (define @t8 () (tptp.comm_monoid_add @t1)) % 55.33/55.55 (define @t9 () (@list @t2 @t1)) % 55.33/55.55 (define @t10 () (tptp.big_co302546470etprod @t1 @t2)) % 55.33/55.55 (define @t11 () (tptp.fun @t1 tptp.bool)) % 55.33/55.55 (define @t12 () (tptp.fun @t11 @t2)) % 55.33/55.55 (define @t13 () (tptp.fun @t1 @t2)) % 55.33/55.55 (define @t14 () (tptp.comm_monoid_mult @t2)) % 55.33/55.55 (define @t15 () (@list @t1 @t2)) % 55.33/55.55 (define @t16 () (tptp.big_Inf_fin @t1)) % 55.33/55.55 (define @t17 () (tptp.fun @t11 @t1)) % 55.33/55.55 (define @t18 () (tptp.fun @t1 @t1)) % 55.33/55.55 (define @t19 () (tptp.fun @t1 @t18)) % 55.33/55.55 (define @t20 () (tptp.fun @t19 @t17)) % 55.33/55.55 (define @t21 () (tptp.linorder @t1)) % 55.33/55.55 (define @t22 () (@list @t1)) % 55.33/55.55 (define @t23 () (tptp.big_Sup_fin @t1)) % 55.33/55.55 (define @t24 () (tptp.big_linorder_Max @t1)) % 55.33/55.55 (define @t25 () (tptp.big_linorder_Min @t1)) % 55.33/55.55 (define @t26 () (tptp.big_semilattice_big @t1)) % 55.33/55.55 (define @t27 () (tptp.fun @t17 tptp.bool)) % 55.33/55.55 (define @t28 () (tptp.fun @t19 @t27)) % 55.33/55.55 (define @t29 () (@var "X_a" $$unsorted)) % 55.33/55.55 (define @t30 () (tptp.combb @t1 @t2 @t29)) % 55.33/55.55 (define @t31 () (tptp.fun @t29 @t2)) % 55.33/55.55 (define @t32 () (tptp.fun @t29 @t1)) % 55.33/55.55 (define @t33 () (tptp.fun @t32 @t31)) % 55.33/55.55 (define @t34 () (tptp.combc @t29 @t1 @t2)) % 55.33/55.55 (define @t35 () (tptp.fun @t1 @t31)) % 55.33/55.55 (define @t36 () (tptp.fun @t29 @t13)) % 55.33/55.55 (define @t37 () (@list @t29 @t1 @t2)) % 55.33/55.55 (define @t38 () (tptp.combi @t29)) % 55.33/55.55 (define @t39 () (tptp.fun @t29 @t29)) % 55.33/55.55 (define @t40 () (@list @t29)) % 55.33/55.55 (define @t41 () (tptp.combk @t29 @t1)) % 55.33/55.55 (define @t42 () (tptp.fun @t1 @t29)) % 55.33/55.55 (define @t43 () (tptp.combs @t29 @t1 @t2)) % 55.33/55.55 (define @t44 () (tptp.fun tptp.state tptp.nat)) % 55.33/55.55 (define @t45 () (tptp.fun @t44 tptp.com)) % 55.33/55.55 (define @t46 () (tptp.fun tptp.com tptp.com)) % 55.33/55.55 (define @t47 () (tptp.finite_card @t1)) % 55.33/55.55 (define @t48 () (tptp.fun @t11 tptp.nat)) % 55.33/55.55 (define @t49 () (tptp.finite100568337ommute @t1 @t2)) % 55.33/55.55 (define @t50 () (tptp.fun @t2 @t2)) % 55.33/55.55 (define @t51 () (tptp.fun @t1 @t50)) % 55.33/55.55 (define @t52 () (tptp.fun @t51 tptp.bool)) % 55.33/55.55 (define @t53 () (tptp.finite_comp_fun_idem @t1 @t2)) % 55.33/55.55 (define @t54 () (tptp.finite_finite_1 @t1)) % 55.33/55.55 (define @t55 () (tptp.fun @t11 tptp.bool)) % 55.33/55.55 (define @t56 () (tptp.finite_fold @t1 @t2)) % 55.33/55.55 (define @t57 () (tptp.fun @t2 @t12)) % 55.33/55.55 (define @t58 () (tptp.finite_fold1 @t1)) % 55.33/55.55 (define @t59 () (tptp.finite_fold1Set @t1)) % 55.33/55.55 (define @t60 () (tptp.fun @t11 @t11)) % 55.33/55.55 (define @t61 () (tptp.finite_fold_graph @t1 @t2)) % 55.33/55.55 (define @t62 () (tptp.fun @t11 @t4)) % 55.33/55.55 (define @t63 () (tptp.fun @t2 @t62)) % 55.33/55.55 (define @t64 () (tptp.fun @t51 @t63)) % 55.33/55.55 (define @t65 () (tptp.finite1357897459simple @t1 @t2)) % 55.33/55.55 (define @t66 () (tptp.fun @t5 tptp.bool)) % 55.33/55.55 (define @t67 () (tptp.fun @t6 @t66)) % 55.33/55.55 (define @t68 () (tptp.fun @t1 @t67)) % 55.33/55.55 (define @t69 () (tptp.fun @t19 @t68)) % 55.33/55.55 (define @t70 () (tptp.finite908156982e_idem @t1 @t2)) % 55.33/55.55 (define @t71 () (tptp.finite_folding_one @t1)) % 55.33/55.55 (define @t72 () (tptp.finite2073411215e_idem @t1)) % 55.33/55.55 (define @t73 () (tptp.minus_minus @t1)) % 55.33/55.55 (define @t74 () (tptp.minus @t1)) % 55.33/55.55 (define @t75 () (tptp.one_one @t1)) % 55.33/55.55 (define @t76 () (tptp.one @t1)) % 55.33/55.55 (define @t77 () (tptp.plus_plus @t29)) % 55.33/55.55 (define @t78 () (tptp.fun @t29 @t39)) % 55.33/55.55 (define @t79 () (= (tptp.ti @t78 @t77) @t77)) % 55.33/55.55 (define @t80 () (tptp.ab_semigroup_add @t29)) % 55.33/55.55 (define @t81 () (tptp.cancel_semigroup_add @t29)) % 55.33/55.55 (define @t82 () (tptp.times_times @t1)) % 55.33/55.55 (define @t83 () (= (tptp.ti @t19 @t82) @t82)) % 55.33/55.55 (define @t84 () (tptp.power @t1)) % 55.33/55.55 (define @t85 () (tptp.times_times @t29)) % 55.33/55.55 (define @t86 () (tptp.semiring @t29)) % 55.33/55.55 (define @t87 () (tptp.ab_semigroup_mult @t1)) % 55.33/55.55 (define @t88 () (tptp.uminus_uminus @t2)) % 55.33/55.55 (define @t89 () (tptp.uminus @t2)) % 55.33/55.55 (define @t90 () (@list @t2)) % 55.33/55.55 (define @t91 () (tptp.zero_zero @t29)) % 55.33/55.55 (define @t92 () (tptp.ordere216010020id_add @t29)) % 55.33/55.55 (define @t93 () (tptp.zero_zero @t1)) % 55.33/55.55 (define @t94 () (tptp.ab_group_add @t1)) % 55.33/55.55 (define @t95 () (tptp.the @t1)) % 55.33/55.55 (define @t96 () (tptp.undefined @t29)) % 55.33/55.55 (define @t97 () (tptp.hoare_1301688828derivs @t1)) % 55.33/55.55 (define @t98 () (tptp.hoare_2118899576triple @t1)) % 55.33/55.55 (define @t99 () (tptp.fun @t98 tptp.bool)) % 55.33/55.55 (define @t100 () (tptp.fun @t99 tptp.bool)) % 55.33/55.55 (define @t101 () (tptp.hoare_759811442triple @t1)) % 55.33/55.55 (define @t102 () (tptp.fun tptp.state tptp.bool)) % 55.33/55.55 (define @t103 () (tptp.fun @t1 @t102)) % 55.33/55.55 (define @t104 () (tptp.fun @t103 @t98)) % 55.33/55.55 (define @t105 () (tptp.fun tptp.com @t104)) % 55.33/55.55 (define @t106 () (tptp.hoare_225284258e_case @t2 @t1)) % 55.33/55.55 (define @t107 () (tptp.hoare_2118899576triple @t2)) % 55.33/55.55 (define @t108 () (tptp.fun @t107 @t1)) % 55.33/55.55 (define @t109 () (tptp.fun @t2 @t102)) % 55.33/55.55 (define @t110 () (tptp.fun @t109 @t1)) % 55.33/55.55 (define @t111 () (tptp.fun tptp.com @t110)) % 55.33/55.55 (define @t112 () (tptp.fun @t109 @t111)) % 55.33/55.55 (define @t113 () (tptp.fun @t112 @t108)) % 55.33/55.55 (define @t114 () (tptp.hoare_1759541758le_rec @t2 @t1)) % 55.33/55.55 (define @t115 () (tptp.if @t29)) % 55.33/55.55 (define @t116 () (tptp.semiring_1_of_nat @t29)) % 55.33/55.55 (define @t117 () (tptp.fun tptp.nat @t29)) % 55.33/55.55 (define @t118 () (tptp.semiring_1 @t29)) % 55.33/55.55 (define @t119 () (tptp.fun tptp.nat tptp.state)) % 55.33/55.55 (define @t120 () (tptp.fun tptp.state (tptp.fun tptp.vname @t119))) % 55.33/55.55 (define @t121 () (tptp.fold_graph @t1 @t2)) % 55.33/55.55 (define @t122 () (tptp.bot_bot @t1)) % 55.33/55.55 (define @t123 () (tptp.bot @t1)) % 55.33/55.55 (define @t124 () (tptp.max @t1)) % 55.33/55.55 (define @t125 () (tptp.fun @t1 @t11)) % 55.33/55.55 (define @t126 () (tptp.fun @t125 @t19)) % 55.33/55.55 (define @t127 () (tptp.ord @t1)) % 55.33/55.55 (define @t128 () (tptp.min @t1)) % 55.33/55.55 (define @t129 () (tptp.ord_less @t1)) % 55.33/55.55 (define @t130 () (tptp.ord_less_eq @t2)) % 55.33/55.55 (define @t131 () (tptp.fun @t2 @t4)) % 55.33/55.55 (define @t132 () (tptp.ord @t2)) % 55.33/55.55 (define @t133 () (tptp.ord_max @t1)) % 55.33/55.55 (define @t134 () (tptp.ord_min @t29)) % 55.33/55.55 (define @t135 () (tptp.ord @t29)) % 55.33/55.55 (define @t136 () (tptp.partial_flat_lub @t1)) % 55.33/55.55 (define @t137 () (tptp.fun @t1 @t17)) % 55.33/55.55 (define @t138 () (tptp.power_1 @t1)) % 55.33/55.55 (define @t139 () (tptp.fun tptp.nat @t1)) % 55.33/55.55 (define @t140 () (tptp.fun @t1 @t139)) % 55.33/55.55 (define @t141 () (tptp.fun @t19 @t140)) % 55.33/55.55 (define @t142 () (tptp.power_power @t1)) % 55.33/55.55 (define @t143 () (tptp.ord_atLeastAtMost @t1)) % 55.33/55.55 (define @t144 () (tptp.fun @t1 @t125)) % 55.33/55.55 (define @t145 () (tptp.order @t1)) % 55.33/55.55 (define @t146 () (tptp.ord_greaterThan @t1)) % 55.33/55.55 (define @t147 () (tptp.ord_gr1471790799AtMost tptp.nat)) % 55.33/55.55 (define @t148 () (tptp.fun tptp.nat tptp.bool)) % 55.33/55.55 (define @t149 () (tptp.fun tptp.nat @t148)) % 55.33/55.55 (define @t150 () (tptp.ord_lessThan @t1)) % 55.33/55.55 (define @t151 () (tptp.collect @t1)) % 55.33/55.55 (define @t152 () (tptp.image @t1 @t2)) % 55.33/55.55 (define @t153 () (tptp.insert @t1)) % 55.33/55.55 (define @t154 () (tptp.fun @t1 @t60)) % 55.33/55.55 (define @t155 () (tptp.the_elem @t1)) % 55.33/55.55 (define @t156 () (tptp.fEx @t29)) % 55.33/55.55 (define @t157 () (tptp.fun @t29 tptp.bool)) % 55.33/55.55 (define @t158 () (tptp.fun tptp.bool tptp.bool)) % 55.33/55.55 (define @t159 () (tptp.fun tptp.bool @t158)) % 55.33/55.55 (define @t160 () (tptp.fequal @t29)) % 55.33/55.55 (define @t161 () (@var "B_2_1" $$unsorted)) % 55.33/55.55 (define @t162 () (@var "B_1_1" $$unsorted)) % 55.33/55.55 (define @t163 () (tptp.hAPP @t29 @t2 @t162 @t161)) % 55.33/55.55 (define @t164 () (@list @t29 @t2 @t162 @t161)) % 55.33/55.55 (define @t165 () (tptp.ti @t2 @t163)) % 55.33/55.55 (define @t166 () (forall (@list @t2 @t29 @t162 @t161) (= @t165 @t163))) % 55.33/55.55 (define @t167 () (tptp.member @t1)) % 55.33/55.55 (define @t168 () (tptp.fun @t1 @t55)) % 55.33/55.55 (define @t169 () (tptp.hoare_2118899576triple tptp.x_a)) % 55.33/55.55 (define @t170 () (tptp.fun @t169 tptp.bool)) % 55.33/55.55 (define @t171 () (tptp.fun tptp.x_a @t102)) % 55.33/55.55 (define @t172 () (tptp.bot_bot @t99)) % 55.33/55.55 (define @t173 () (@var "Ga" $$unsorted)) % 55.33/55.55 (define @t174 () (tptp.hAPP @t99 @t100 @t97 @t173)) % 55.33/55.55 (define @t175 () (@var "Fun2_2" $$unsorted)) % 55.33/55.55 (define @t176 () (@var "Fun2_1" $$unsorted)) % 55.33/55.55 (define @t177 () (@var "Com_2" $$unsorted)) % 55.33/55.55 (define @t178 () (@var "Com_1" $$unsorted)) % 55.33/55.55 (define @t179 () (@var "Fun1_2" $$unsorted)) % 55.33/55.55 (define @t180 () (@var "Fun1_1" $$unsorted)) % 55.33/55.55 (define @t181 () (@var "Ts" $$unsorted)) % 55.33/55.55 (define @t182 () (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t174 @t181))) % 55.33/55.55 (define @t183 () (@var "G_1" $$unsorted)) % 55.33/55.55 (define @t184 () (@var "T_5" $$unsorted)) % 55.33/55.55 (define @t185 () (tptp.insert @t98)) % 55.33/55.55 (define @t186 () (tptp.fun @t99 @t99)) % 55.33/55.55 (define @t187 () (tptp.hAPP @t98 @t186 @t185 @t184)) % 55.33/55.55 (define @t188 () (@var "Q_3" $$unsorted)) % 55.33/55.55 (define @t189 () (@var "Ca" $$unsorted)) % 55.33/55.55 (define @t190 () (@var "C_1" $$unsorted)) % 55.33/55.55 (define @t191 () (@var "Pa" $$unsorted)) % 55.33/55.55 (define @t192 () (tptp.fun tptp.state @t158)) % 55.33/55.55 (define @t193 () (tptp.fun @t102 @t192)) % 55.33/55.55 (define @t194 () (tptp.hAPP @t159 @t193 (tptp.combb tptp.bool @t158 tptp.state) tptp.fconj)) % 55.33/55.55 (define @t195 () (tptp.fun @t1 @t192)) % 55.33/55.55 (define @t196 () (tptp.fun tptp.bool @t102)) % 55.33/55.55 (define @t197 () (tptp.fun @t1 @t196)) % 55.33/55.55 (define @t198 () (tptp.hAPP @t103 @t105 @t101 @t191)) % 55.33/55.55 (define @t199 () (tptp.hAPP tptp.com @t104 @t198 @t189)) % 55.33/55.55 (define @t200 () (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t174 (tptp.hAPP @t99 @t99 (tptp.hAPP @t98 @t186 @t185 (tptp.hAPP @t103 @t98 @t199 @t188)) @t172)))) % 55.33/55.55 (define @t201 () (@var "Z_4" $$unsorted)) % 55.33/55.55 (define @t202 () (tptp.hAPP @t1 @t102 @t188 @t201)) % 55.33/55.55 (define @t203 () (tptp.combk @t102 @t1)) % 55.33/55.55 (define @t204 () (@var "S_3" $$unsorted)) % 55.33/55.55 (define @t205 () (tptp.fun tptp.state @t102)) % 55.33/55.55 (define @t206 () (tptp.hAPP @t205 @t205 (tptp.combc tptp.state tptp.state tptp.bool) (tptp.fequal tptp.state))) % 55.33/55.55 (define @t207 () (tptp.hAPP tptp.state @t102 @t206 @t204)) % 55.33/55.55 (define @t208 () (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t174 (tptp.hAPP @t99 @t99 (tptp.hAPP @t98 @t186 @t185 (tptp.hAPP @t103 @t98 (tptp.hAPP tptp.com @t104 (tptp.hAPP @t103 @t105 @t101 (tptp.hAPP @t102 @t103 @t203 @t207)) @t189) (tptp.hAPP @t102 @t103 @t203 @t202))) @t172)))) % 55.33/55.55 (define @t209 () (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t1 @t102 @t191 @t201) @t204))) % 55.33/55.55 (define @t210 () (@list @t201 @t204)) % 55.33/55.55 (define @t211 () (forall @t210 (=> @t209 @t208))) % 55.33/55.55 (define @t212 () (=> @t211 @t200)) % 55.33/55.55 (define @t213 () (@list @t1 @t173 @t189 @t188 @t191)) % 55.33/55.55 (define @t214 () (forall @t213 @t212)) % 55.33/55.55 (define @t215 () (@var "Q_5" $$unsorted)) % 55.33/55.55 (define @t216 () (@var "P_4" $$unsorted)) % 55.33/55.55 (define @t217 () (tptp.hAPP tptp.com @t104 (tptp.hAPP @t103 @t105 @t101 @t216) @t189)) % 55.33/55.55 (define @t218 () (@var "S_4" $$unsorted)) % 55.33/55.55 (define @t219 () (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool @t202 @t218))) % 55.33/55.55 (define @t220 () (@var "Z_5" $$unsorted)) % 55.33/55.55 (define @t221 () (@list @t220)) % 55.33/55.55 (define @t222 () (@list @t218)) % 55.33/55.55 (define @t223 () (@var "A_3" $$unsorted)) % 55.33/55.55 (define @t224 () (@var "A_2" $$unsorted)) % 55.33/55.55 (define @t225 () (tptp.hAPP @t1 @t55 @t167 @t224)) % 55.33/55.55 (define @t226 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t225 @t223))) % 55.33/55.55 (define @t227 () (@var "Ba" $$unsorted)) % 55.33/55.55 (define @t228 () (tptp.ti @t1 @t227)) % 55.33/55.55 (define @t229 () (tptp.ti @t1 @t224)) % 55.33/55.55 (define @t230 () (= @t229 @t228)) % 55.33/55.55 (define @t231 () (not @t230)) % 55.33/55.55 (define @t232 () (tptp.hAPP @t1 @t60 @t153 @t227)) % 55.33/55.55 (define @t233 () (tptp.hAPP @t11 @t11 @t232 @t223)) % 55.33/55.55 (define @t234 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t225 @t233))) % 55.33/55.55 (define @t235 () (@list @t1 @t224 @t227 @t223)) % 55.33/55.55 (define @t236 () (@var "B_2" $$unsorted)) % 55.33/55.55 (define @t237 () (tptp.hAPP @t11 @t11 @t232 @t236)) % 55.33/55.55 (define @t238 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t225 @t237))) % 55.33/55.55 (define @t239 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t225 @t236))) % 55.33/55.55 (define @t240 () (not @t239)) % 55.33/55.55 (define @t241 () (@list @t1 @t227 @t224 @t236)) % 55.33/55.55 (define @t242 () (tptp.bot_bot @t11)) % 55.33/55.55 (define @t243 () (@list @t1 @t224)) % 55.33/55.55 (define @t244 () (tptp.hAPP @t1 @t60 @t153 @t224)) % 55.33/55.55 (define @t245 () (tptp.hAPP @t11 @t11 @t244 @t242)) % 55.33/55.55 (define @t246 () (tptp.fequal @t1)) % 55.33/55.55 (define @t247 () (tptp.hAPP @t1 @t11 @t246 @t224)) % 55.33/55.55 (define @t248 () (tptp.combc @t1 @t1 tptp.bool)) % 55.33/55.55 (define @t249 () (tptp.hAPP @t125 @t125 @t248 @t246)) % 55.33/55.55 (define @t250 () (tptp.hAPP @t1 @t11 @t249 @t224)) % 55.33/55.55 (define @t251 () (tptp.combb tptp.bool @t158 @t1)) % 55.33/55.55 (define @t252 () (tptp.fun @t1 @t158)) % 55.33/55.55 (define @t253 () (tptp.fun @t11 @t252)) % 55.33/55.55 (define @t254 () (tptp.hAPP @t159 @t253 @t251 tptp.fconj)) % 55.33/55.55 (define @t255 () (tptp.combs @t1 tptp.bool tptp.bool)) % 55.33/55.55 (define @t256 () (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t11 @t11 (tptp.hAPP @t252 @t60 @t255 (tptp.hAPP @t11 @t252 @t254 @t247)) @t191))) % 55.33/55.55 (define @t257 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t191 @t224))) % 55.33/55.55 (define @t258 () (not @t257)) % 55.33/55.55 (define @t259 () (@list @t1 @t191 @t224)) % 55.33/55.55 (define @t260 () (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t11 @t11 (tptp.hAPP @t252 @t60 @t255 (tptp.hAPP @t11 @t252 @t254 @t250)) @t191))) % 55.33/55.55 (define @t261 () (@var "F1" $$unsorted)) % 55.33/55.55 (define @t262 () (tptp.hAPP @t109 @t1 (tptp.hAPP tptp.com @t110 (tptp.hAPP @t109 @t111 @t261 @t180) @t178) @t176)) % 55.33/55.55 (define @t263 () (tptp.fun @t109 @t107)) % 55.33/55.55 (define @t264 () (tptp.hAPP @t109 @t107 (tptp.hAPP tptp.com @t263 (tptp.hAPP @t109 (tptp.fun tptp.com @t263) (tptp.hoare_759811442triple @t2) @t180) @t178) @t176)) % 55.33/55.55 (define @t265 () (@list @t2 @t1 @t261 @t180 @t178 @t176)) % 55.33/55.55 (define @t266 () (not @t226)) % 55.33/55.55 (define @t267 () (tptp.ti @t11 @t223)) % 55.33/55.55 (define @t268 () (= @t267 @t242)) % 55.33/55.55 (define @t269 () (@list @t1 @t224 @t223)) % 55.33/55.55 (define @t270 () (@var "X_2" $$unsorted)) % 55.33/55.55 (define @t271 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t191 @t270))) % 55.33/55.55 (define @t272 () (@list @t270)) % 55.33/55.55 (define @t273 () (forall @t272 (not @t271))) % 55.33/55.55 (define @t274 () (tptp.hAPP @t11 @t11 @t151 @t191)) % 55.33/55.55 (define @t275 () (@list @t1 @t191)) % 55.33/55.55 (define @t276 () (tptp.hAPP @t1 @t55 @t167 @t189)) % 55.33/55.55 (define @t277 () (not @t268)) % 55.33/55.55 (define @t278 () (tptp.hAPP @t1 @t55 @t167 @t270)) % 55.33/55.55 (define @t279 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t278 @t223))) % 55.33/55.55 (define @t280 () (@list @t1 @t223)) % 55.33/55.55 (define @t281 () (tptp.hAPP @t11 @t11 @t244 @t223)) % 55.33/55.55 (define @t282 () (tptp.ti @t11 @t236)) % 55.33/55.55 (define @t283 () (= @t267 @t282)) % 55.33/55.55 (define @t284 () (@var "X_1" $$unsorted)) % 55.33/55.55 (define @t285 () (tptp.hAPP @t1 @t60 @t153 @t284)) % 55.33/55.55 (define @t286 () (tptp.hAPP @t11 @t11 @t285 @t236)) % 55.33/55.55 (define @t287 () (tptp.hAPP @t11 @t11 @t285 @t223)) % 55.33/55.55 (define @t288 () (tptp.hAPP @t1 @t55 @t167 @t284)) % 55.33/55.55 (define @t289 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t288 @t236))) % 55.33/55.55 (define @t290 () (not @t289)) % 55.33/55.55 (define @t291 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t288 @t223))) % 55.33/55.55 (define @t292 () (not @t291)) % 55.33/55.55 (define @t293 () (@list @t1 @t236 @t284 @t223)) % 55.33/55.55 (define @t294 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t223 @t284))) % 55.33/55.55 (define @t295 () (tptp.ti @t1 @t284)) % 55.33/55.55 (define @t296 () (@var "Y_2" $$unsorted)) % 55.33/55.55 (define @t297 () (tptp.ti @t1 @t296)) % 55.33/55.55 (define @t298 () (tptp.hAPP @t1 @t60 @t153 @t296)) % 55.33/55.55 (define @t299 () (tptp.hAPP @t11 @t11 @t298 @t223)) % 55.33/55.55 (define @t300 () (@list @t1 @t284 @t223)) % 55.33/55.55 (define @t301 () (tptp.combb tptp.bool tptp.bool @t1)) % 55.33/55.55 (define @t302 () (tptp.hAPP @t158 @t60 @t301 tptp.fNot)) % 55.33/55.55 (define @t303 () (@list @t1 @t224 @t191)) % 55.33/55.55 (define @t304 () (tptp.hAPP @t168 @t60 (tptp.combc @t1 @t11 tptp.bool) @t167)) % 55.33/55.55 (define @t305 () (tptp.hAPP @t11 @t11 @t304 @t236)) % 55.33/55.55 (define @t306 () (tptp.hAPP @t159 @t253 @t251 tptp.fdisj)) % 55.33/55.55 (define @t307 () (tptp.hAPP @t11 @t11 @t244 @t236)) % 55.33/55.55 (define @t308 () (@list @t1 @t224 @t236)) % 55.33/55.55 (define @t309 () (@var "Xa" $$unsorted)) % 55.33/55.55 (define @t310 () (tptp.hAPP @t1 @t60 @t153 @t270)) % 55.33/55.55 (define @t311 () (tptp.hAPP @t11 @t11 @t232 @t242)) % 55.33/55.55 (define @t312 () (= @t228 @t229)) % 55.33/55.55 (define @t313 () (tptp.hAPP @t1 @t55 @t167 @t227)) % 55.33/55.55 (define @t314 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t313 @t245))) % 55.33/55.55 (define @t315 () (@list @t1 @t227 @t224)) % 55.33/55.55 (define @t316 () (tptp.ti @t1 @t189)) % 55.33/55.55 (define @t317 () (= @t228 @t316)) % 55.33/55.55 (define @t318 () (@var "D" $$unsorted)) % 55.33/55.55 (define @t319 () (tptp.ti @t1 @t318)) % 55.33/55.55 (define @t320 () (tptp.hAPP @t1 @t60 @t153 @t189)) % 55.33/55.55 (define @t321 () (tptp.hAPP @t11 @t11 @t285 @t242)) % 55.33/55.55 (define @t322 () (@list @t1 @t284)) % 55.33/55.55 (define @t323 () (@list @t284)) % 55.33/55.55 (define @t324 () (@var "R_1" $$unsorted)) % 55.33/55.55 (define @t325 () (@var "Fun2" $$unsorted)) % 55.33/55.55 (define @t326 () (@var "Com" $$unsorted)) % 55.33/55.55 (define @t327 () (@var "Fun1" $$unsorted)) % 55.33/55.55 (define @t328 () (@var "B_3" $$unsorted)) % 55.33/55.55 (define @t329 () (@list @t328)) % 55.33/55.55 (define @t330 () (@var "Y_1" $$unsorted)) % 55.33/55.55 (define @t331 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t1 @t55 @t167 @t330) @t223))) % 55.33/55.55 (define @t332 () (@list @t330)) % 55.33/55.55 (define @t333 () (@var "Q_4" $$unsorted)) % 55.33/55.55 (define @t334 () (@var "P_3" $$unsorted)) % 55.33/55.55 (define @t335 () (@var "Com2_2" $$unsorted)) % 55.33/55.55 (define @t336 () (@var "Com1_2" $$unsorted)) % 55.33/55.55 (define @t337 () (tptp.hAPP tptp.com tptp.com (tptp.hAPP tptp.com @t46 tptp.semi @t336) @t335)) % 55.33/55.55 (define @t338 () (@list @t336 @t335)) % 55.33/55.55 (define @t339 () (tptp.combc @t1 @t11 @t11)) % 55.33/55.55 (define @t340 () (tptp.fun @t11 @t125)) % 55.33/55.55 (define @t341 () (tptp.hAPP @t11 @t125 (tptp.hAPP @t154 @t340 @t339 @t153) @t242)) % 55.33/55.55 (define @t342 () (@var "X_3" $$unsorted)) % 55.33/55.55 (define @t343 () (tptp.combb @t11 tptp.bool @t1)) % 55.33/55.55 (define @t344 () (tptp.fun @t125 @t11)) % 55.33/55.55 (define @t345 () (@var "Com2" $$unsorted)) % 55.33/55.55 (define @t346 () (@var "Com2_1" $$unsorted)) % 55.33/55.55 (define @t347 () (@var "Com1" $$unsorted)) % 55.33/55.55 (define @t348 () (@var "Com1_1" $$unsorted)) % 55.33/55.55 (define @t349 () (tptp.hAPP tptp.com tptp.com (tptp.hAPP tptp.com @t46 tptp.semi @t347) @t345)) % 55.33/55.55 (define @t350 () (@var "F" $$unsorted)) % 55.33/55.55 (define @t351 () (tptp.hAPP @t19 @t60 @t59 @t350)) % 55.33/55.55 (define @t352 () (@var "F_2" $$unsorted)) % 55.33/55.55 (define @t353 () (tptp.hBOOL (tptp.hAPP @t17 tptp.bool (tptp.hAPP @t19 @t27 @t71 @t350) @t352))) % 55.33/55.55 (define @t354 () (@list @t1 @t284 @t350 @t352)) % 55.33/55.55 (define @t355 () (tptp.fun tptp.state @t119)) % 55.33/55.55 (define @t356 () (tptp.fun tptp.state tptp.state)) % 55.33/55.55 (define @t357 () (tptp.fun @t356 @t102)) % 55.33/55.55 (define @t358 () (tptp.fun @t1 @t357)) % 55.33/55.55 (define @t359 () (tptp.hAPP @t19 @t17 @t58 @t350)) % 55.33/55.55 (define @t360 () (@var "G" $$unsorted)) % 55.33/55.55 (define @t361 () (tptp.bot_bot @t4)) % 55.33/55.55 (define @t362 () (tptp.insert @t2)) % 55.33/55.55 (define @t363 () (tptp.fun @t4 @t4)) % 55.33/55.55 (define @t364 () (tptp.combk @t2 @t1)) % 55.33/55.55 (define @t365 () (tptp.hAPP @t11 @t4 (tptp.hAPP @t13 @t62 @t152 (tptp.hAPP @t2 @t13 @t364 @t189)) @t223)) % 55.33/55.55 (define @t366 () (= @t365 (tptp.hAPP @t4 @t4 (tptp.hAPP @t2 @t363 @t362 @t189) @t361))) % 55.33/55.55 (define @t367 () (tptp.fun @t4 @t11)) % 55.33/55.55 (define @t368 () (tptp.hAPP @t6 @t367 (tptp.image @t2 @t1) @t350)) % 55.33/55.55 (define @t369 () (tptp.hAPP @t4 @t11 @t368 @t223)) % 55.33/55.55 (define @t370 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t313 @t369))) % 55.33/55.55 (define @t371 () (tptp.member @t2)) % 55.33/55.55 (define @t372 () (tptp.fun @t4 tptp.bool)) % 55.33/55.55 (define @t373 () (tptp.hBOOL (tptp.hAPP @t4 tptp.bool (tptp.hAPP @t2 @t372 @t371 @t284) @t223))) % 55.33/55.55 (define @t374 () (tptp.hAPP @t11 @t11 @t351 @t223)) % 55.33/55.55 (define @t375 () (tptp.hAPP @t11 @t1 @t359 @t223)) % 55.33/55.55 (define @t376 () (@list @t1 @t350 @t223)) % 55.33/55.55 (define @t377 () (@var "Fun" $$unsorted)) % 55.33/55.55 (define @t378 () (@var "Fun_1" $$unsorted)) % 55.33/55.55 (define @t379 () (@var "Vname" $$unsorted)) % 55.33/55.55 (define @t380 () (@var "Vname_1" $$unsorted)) % 55.33/55.55 (define @t381 () (tptp.hAPP @t44 tptp.com (tptp.hAPP tptp.vname @t45 tptp.ass @t379) @t377)) % 55.33/55.55 (define @t382 () (tptp.hAPP @t44 tptp.com (tptp.hAPP tptp.vname @t45 tptp.ass @t380) @t378)) % 55.33/55.55 (define @t383 () (tptp.hAPP @t13 @t62 @t152 @t350)) % 55.33/55.55 (define @t384 () (tptp.hAPP @t11 @t4 @t383 @t223)) % 55.33/55.55 (define @t385 () (tptp.hAPP @t1 @t2 @t350 @t284)) % 55.33/55.55 (define @t386 () (@list @t2 @t1 @t350 @t284 @t223)) % 55.33/55.55 (define @t387 () (tptp.hAPP @t2 @t1 @t350 @t270)) % 55.33/55.55 (define @t388 () (@var "Z_2" $$unsorted)) % 55.33/55.55 (define @t389 () (tptp.ti @t1 @t388)) % 55.33/55.55 (define @t390 () (tptp.hAPP @t2 @t372 @t371 @t270)) % 55.33/55.55 (define @t391 () (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t390 @t223))) % 55.33/55.55 (define @t392 () (@var "X_d" $$unsorted)) % 55.33/55.55 (define @t393 () (tptp.fun @t392 @t1)) % 55.33/55.55 (define @t394 () (tptp.fun @t392 @t2)) % 55.33/55.55 (define @t395 () (tptp.fun @t392 tptp.bool)) % 55.33/55.55 (define @t396 () (@var "Y_4" $$unsorted)) % 55.33/55.55 (define @t397 () (tptp.image @t1 @t1)) % 55.33/55.55 (define @t398 () (@list @t379 @t377)) % 55.33/55.55 (define @t399 () (tptp.hAPP @t1 @t2 @t360 @t270)) % 55.33/55.55 (define @t400 () (tptp.hAPP @t1 @t2 @t350 @t270)) % 55.33/55.55 (define @t401 () (= @t400 @t399)) % 55.33/55.55 (define @t402 () (= (tptp.ti @t4 @t223) @t361)) % 55.33/55.55 (define @t403 () (@list @t2 @t1 @t350 @t223)) % 55.33/55.55 (define @t404 () (tptp.hAPP @t4 @t11 @t368 @t236)) % 55.33/55.55 (define @t405 () (tptp.hAPP @t11 @t1 @t95 (tptp.hAPP @t11 @t11 (tptp.hAPP @t252 @t60 @t255 (tptp.hAPP @t11 @t252 @t254 (tptp.hAPP @t11 @t11 (tptp.hAPP @t158 @t60 @t301 (tptp.hAPP tptp.bool @t158 tptp.fimplies @t191)) (tptp.hAPP @t1 @t11 @t249 @t284)))) (tptp.hAPP @t11 @t11 (tptp.hAPP @t158 @t60 @t301 (tptp.hAPP tptp.bool @t158 tptp.fimplies (tptp.hAPP tptp.bool tptp.bool tptp.fNot @t191))) (tptp.hAPP @t1 @t11 @t249 @t296))))) % 55.33/55.55 (define @t406 () (tptp.hBOOL @t191)) % 55.33/55.55 (define @t407 () (not @t406)) % 55.33/55.55 (define @t408 () (@var "N_3" $$unsorted)) % 55.33/55.55 (define @t409 () (@var "M_3" $$unsorted)) % 55.33/55.55 (define @t410 () (tptp.ti @t11 @t408)) % 55.33/55.55 (define @t411 () (tptp.ti @t11 @t409)) % 55.33/55.55 (define @t412 () (tptp.finite_fold_graph @t1 @t1)) % 55.33/55.55 (define @t413 () (tptp.hAPP @t19 @t154 @t412 @t350)) % 55.33/55.55 (define @t414 () (tptp.hAPP @t11 @t1 @t95 @t191)) % 55.33/55.55 (define @t415 () (= @t414 @t229)) % 55.33/55.55 (define @t416 () (tptp.ti @t1 @t270)) % 55.33/55.55 (define @t417 () (forall @t272 (=> @t271 (= @t416 @t229)))) % 55.33/55.55 (define @t418 () (tptp.hAPP @t11 @t1 @t352 @t223)) % 55.33/55.55 (define @t419 () (tptp.hAPP @t1 @t18 @t350 @t284)) % 55.33/55.55 (define @t420 () (tptp.hAPP @t1 @t1 @t419 @t418)) % 55.33/55.55 (define @t421 () (tptp.hAPP @t11 @t1 @t352 @t287)) % 55.33/55.55 (define @t422 () (=> @t277 (= @t421 @t420))) % 55.33/55.55 (define @t423 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 @t223))) % 55.33/55.55 (define @t424 () (@list @t1 @t284 @t223 @t350 @t352)) % 55.33/55.55 (define @t425 () (=> @t423 (= @t418 @t375))) % 55.33/55.55 (define @t426 () (@list @t1 @t223 @t350 @t352)) % 55.33/55.55 (define @t427 () (tptp.hAPP @t11 @t11 @t310 (tptp.hAPP @t11 @t11 (tptp.hAPP @t1 @t60 @t153 @t330) @t242))) % 55.33/55.55 (define @t428 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t350 @t270) @t330)) % 55.33/55.55 (define @t429 () (@list @t270 @t330)) % 55.33/55.55 (define @t430 () (tptp.hAPP @t252 @t60 @t255 (tptp.hAPP @t11 @t252 @t254 @t191))) % 55.33/55.55 (define @t431 () (tptp.hAPP @t11 @t11 @t151 @t188)) % 55.33/55.55 (define @t432 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 @t431))) % 55.33/55.55 (define @t433 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 @t274))) % 55.33/55.55 (define @t434 () (@list @t1 @t188 @t191)) % 55.33/55.55 (define @t435 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 @t281))) % 55.33/55.55 (define @t436 () (@var "H" $$unsorted)) % 55.33/55.55 (define @t437 () (tptp.finite_finite_1 @t2)) % 55.33/55.55 (define @t438 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 @t352))) % 55.33/55.55 (define @t439 () (@list @t223)) % 55.33/55.55 (define @t440 () (tptp.hAPP @t2 @t62 (tptp.hAPP @t51 @t63 @t61 @t350) @t388)) % 55.33/55.55 (define @t441 () (tptp.hAPP @t11 @t4 @t440 @t242)) % 55.33/55.55 (define @t442 () (@list @t2 @t1 @t350 @t388)) % 55.33/55.55 (define @t443 () (tptp.ti @t2 @t388)) % 55.33/55.55 (define @t444 () (tptp.ti @t2 @t284)) % 55.33/55.55 (define @t445 () (tptp.hAPP @t1 @t50 @t350 @t284)) % 55.33/55.55 (define @t446 () (tptp.hAPP @t2 @t2 @t445 @t296)) % 55.33/55.55 (define @t447 () (tptp.hAPP @t11 @t4 @t440 @t287)) % 55.33/55.55 (define @t448 () (tptp.hAPP @t11 @t4 @t440 @t223)) % 55.33/55.55 (define @t449 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t448 @t296))) % 55.33/55.55 (define @t450 () (@list @t2 @t1 @t350 @t388 @t296 @t284 @t223)) % 55.33/55.55 (define @t451 () (@var "A_4" $$unsorted)) % 55.33/55.55 (define @t452 () (@var "A_5" $$unsorted)) % 55.33/55.55 (define @t453 () (tptp.hAPP @t1 @t55 @t167 @t452)) % 55.33/55.55 (define @t454 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t453 @t451))) % 55.33/55.55 (define @t455 () (tptp.hAPP @t11 @t11 (tptp.hAPP @t1 @t60 @t413 @t452) @t451)) % 55.33/55.55 (define @t456 () (tptp.hAPP @t1 @t60 @t153 @t452)) % 55.33/55.55 (define @t457 () (tptp.hAPP @t11 @t11 @t456 @t451)) % 55.33/55.55 (define @t458 () (tptp.hAPP @t11 @t11 @t244 @t342)) % 55.33/55.55 (define @t459 () (@list @t452 @t451)) % 55.33/55.55 (define @t460 () (@var "X1" $$unsorted)) % 55.33/55.55 (define @t461 () (@list @t460)) % 55.33/55.55 (define @t462 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 @t451))) % 55.33/55.55 (define @t463 () (tptp.ti @t11 @t224)) % 55.33/55.55 (define @t464 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t191 @t352))) % 55.33/55.55 (define @t465 () (@var "F_3" $$unsorted)) % 55.33/55.55 (define @t466 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t191 @t465))) % 55.33/55.55 (define @t467 () (=> (not (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t278 @t465))) (=> @t466 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t191 (tptp.hAPP @t11 @t11 @t310 @t465)))))) % 55.33/55.55 (define @t468 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 @t465))) % 55.33/55.55 (define @t469 () (@list @t270 @t465)) % 55.33/55.55 (define @t470 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t191 @t242))) % 55.33/55.55 (define @t471 () (@list @t1 @t191 @t352)) % 55.33/55.55 (define @t472 () (tptp.fequal @t2)) % 55.33/55.55 (define @t473 () (tptp.fun @t1 @t4)) % 55.33/55.55 (define @t474 () (tptp.combc @t1 @t2 tptp.bool)) % 55.33/55.55 (define @t475 () (tptp.fun @t2 @t11)) % 55.33/55.55 (define @t476 () (tptp.hAPP @t11 @t11 @t304 @t223)) % 55.33/55.55 (define @t477 () (tptp.hAPP @t11 @t252 @t254 @t476)) % 55.33/55.55 (define @t478 () (tptp.hAPP @t252 @t60 @t255 @t477)) % 55.33/55.55 (define @t479 () (not @t423)) % 55.33/55.55 (define @t480 () (@list @t2 @t1 @t350 @t388 @t223)) % 55.33/55.55 (define @t481 () (@var "A2" $$unsorted)) % 55.33/55.55 (define @t482 () (@var "A1" $$unsorted)) % 55.33/55.55 (define @t483 () (tptp.ti @t11 @t482)) % 55.33/55.55 (define @t484 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t191 @t414))) % 55.33/55.55 (define @t485 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t191 @t330))) % 55.33/55.55 (define @t486 () (exists @t272 (and @t271 (forall @t332 (=> @t485 (= (tptp.ti @t1 @t330) @t416)))))) % 55.33/55.55 (define @t487 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t278 @t451))) % 55.33/55.55 (define @t488 () (tptp.ti @t2 @t481)) % 55.33/55.55 (define @t489 () (tptp.hBOOL (tptp.hAPP @t17 tptp.bool (tptp.hAPP @t19 @t27 @t72 @t350) @t352))) % 55.33/55.55 (define @t490 () (tptp.hAPP @t4 @t1 @t352 @t223)) % 55.33/55.55 (define @t491 () (tptp.hAPP @t1 @t18 @t350 (tptp.hAPP @t2 @t1 @t360 @t284))) % 55.33/55.55 (define @t492 () (tptp.hAPP @t1 @t1 @t491 @t490)) % 55.33/55.55 (define @t493 () (tptp.hAPP @t2 @t363 @t362 @t284)) % 55.33/55.55 (define @t494 () (tptp.hAPP @t4 @t1 @t352 (tptp.hAPP @t4 @t4 @t493 @t223))) % 55.33/55.55 (define @t495 () (= @t494 @t492)) % 55.33/55.55 (define @t496 () (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t437 @t223))) % 55.33/55.55 (define @t497 () (tptp.hBOOL (tptp.hAPP @t5 tptp.bool (tptp.hAPP @t6 @t66 (tptp.hAPP @t1 @t67 (tptp.hAPP @t19 @t68 @t70 @t350) @t388) @t360) @t352))) % 55.33/55.55 (define @t498 () (@list @t2 @t1 @t284 @t223 @t350 @t388 @t360 @t352)) % 55.33/55.55 (define @t499 () (tptp.minus_minus @t11)) % 55.33/55.55 (define @t500 () (tptp.hAPP @t11 @t60 @t499 @t223)) % 55.33/55.55 (define @t501 () (tptp.hAPP @t11 @t11 @t500 @t321)) % 55.33/55.55 (define @t502 () (tptp.hAPP @t1 @t1 @t419 (tptp.hAPP @t11 @t1 @t352 @t501))) % 55.33/55.55 (define @t503 () (= @t501 @t242)) % 55.33/55.55 (define @t504 () (not @t503)) % 55.33/55.55 (define @t505 () (tptp.hAPP @t19 @t17 @t58 @t82)) % 55.33/55.55 (define @t506 () (tptp.hAPP @t11 @t1 @t505 @t223)) % 55.33/55.55 (define @t507 () (tptp.hAPP @t1 @t18 @t82 @t284)) % 55.33/55.55 (define @t508 () (= (tptp.hAPP @t11 @t1 @t505 @t287) (tptp.hAPP @t1 @t1 @t507 @t506))) % 55.33/55.55 (define @t509 () (@list @t284 @t223)) % 55.33/55.55 (define @t510 () (tptp.ab_sem1668676832m_mult @t1)) % 55.33/55.55 (define @t511 () (tptp.hAPP @t11 @t11 @t500 @t236)) % 55.33/55.55 (define @t512 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t276 @t511))) % 55.33/55.55 (define @t513 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t276 @t236))) % 55.33/55.55 (define @t514 () (not @t513)) % 55.33/55.55 (define @t515 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t276 @t223))) % 55.33/55.55 (define @t516 () (=> @t515 @t513)) % 55.33/55.55 (define @t517 () (@list @t1 @t189 @t223 @t236)) % 55.33/55.55 (define @t518 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 @t511))) % 55.33/55.55 (define @t519 () (@list @t1 @t236 @t223)) % 55.33/55.55 (define @t520 () (= (tptp.hAPP @t1 @t1 @t419 @t284) @t295)) % 55.33/55.55 (define @t521 () (@list @t1 @t223 @t236)) % 55.33/55.55 (define @t522 () (tptp.hAPP @t11 @t60 @t499 @t511)) % 55.33/55.55 (define @t523 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 @t236))) % 55.33/55.55 (define @t524 () (tptp.hAPP @t11 @t60 @t499 @t287)) % 55.33/55.55 (define @t525 () (tptp.hAPP @t11 @t11 @t524 @t236)) % 55.33/55.55 (define @t526 () (=> @t289 (= @t525 @t511))) % 55.33/55.55 (define @t527 () (@list @t1 @t223 @t284 @t236)) % 55.33/55.55 (define @t528 () (tptp.hAPP @t11 @t11 @t500 @t245)) % 55.33/55.55 (define @t529 () (tptp.hAPP @t19 @t154 @t412 @t82)) % 55.33/55.55 (define @t530 () (not (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t313 @t223)))) % 55.33/55.55 (define @t531 () (tptp.hAPP @t11 @t11 (tptp.hAPP @t1 @t60 @t529 @t227) @t223)) % 55.33/55.55 (define @t532 () (tptp.hAPP @t11 @t11 @t500 @t307)) % 55.33/55.55 (define @t533 () (@list @t1 @t223 @t224 @t236)) % 55.33/55.55 (define @t534 () (tptp.hAPP @t11 @t11 @t244 @t528)) % 55.33/55.55 (define @t535 () (tptp.hAPP @t11 @t11 (tptp.hAPP @t18 @t60 @t397 @t436) @t408)) % 55.33/55.55 (define @t536 () (not (= @t410 @t242))) % 55.33/55.55 (define @t537 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 @t408))) % 55.33/55.55 (define @t538 () (tptp.hAPP @t1 @t1 @t436 @t330)) % 55.33/55.55 (define @t539 () (tptp.hAPP @t1 @t1 @t436 @t270)) % 55.33/55.55 (define @t540 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t82 @t270) @t330)) % 55.33/55.55 (define @t541 () (@list @t408 @t436)) % 55.33/55.55 (define @t542 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t191 @t451))) % 55.33/55.55 (define @t543 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t191 @t223))) % 55.33/55.55 (define @t544 () (tptp.hAPP @t4 @t363 (tptp.minus_minus @t4) @t223)) % 55.33/55.55 (define @t545 () (tptp.hAPP @t1 @t1 @t491 (tptp.hAPP @t4 @t1 @t352 (tptp.hAPP @t4 @t4 @t544 (tptp.hAPP @t4 @t4 @t493 @t361))))) % 55.33/55.55 (define @t546 () (tptp.hBOOL (tptp.hAPP @t5 tptp.bool (tptp.hAPP @t6 @t66 (tptp.hAPP @t1 @t67 (tptp.hAPP @t19 @t68 @t65 @t350) @t388) @t360) @t352))) % 55.33/55.55 (define @t547 () (tptp.hAPP @t2 @t1 @t223 @t284)) % 55.33/55.55 (define @t548 () (tptp.fun @t6 @t6)) % 55.33/55.55 (define @t549 () (tptp.hAPP @t1 @t2 @t223 @t270)) % 55.33/55.55 (define @t550 () (tptp.minus_minus @t2)) % 55.33/55.55 (define @t551 () (tptp.fun @t13 @t13)) % 55.33/55.55 (define @t552 () (tptp.fun @t11 @t60)) % 55.33/55.55 (define @t553 () (tptp.hAPP @t125 @t154 (tptp.hAPP @t552 (tptp.fun @t125 @t154) (tptp.combb @t11 @t60 @t1) (tptp.hAPP @t552 @t552 (tptp.combc @t11 @t11 @t11) @t499)) @t341)) % 55.33/55.55 (define @t554 () (tptp.finite_comp_fun_idem @t1 @t11)) % 55.33/55.55 (define @t555 () (tptp.hAPP @t2 @t2 @t445 @t388)) % 55.33/55.55 (define @t556 () (tptp.hBOOL (tptp.hAPP @t51 tptp.bool @t53 @t350))) % 55.33/55.55 (define @t557 () (tptp.finite_comp_fun_idem @t1 @t1)) % 55.33/55.55 (define @t558 () (@var "A_1" $$unsorted)) % 55.33/55.55 (define @t559 () (tptp.ti @t29 @t558)) % 55.33/55.55 (define @t560 () (tptp.hAPP @t29 @t39 @t85 @t558)) % 55.33/55.55 (define @t561 () (tptp.hAPP @t29 @t29 @t560 @t558)) % 55.33/55.55 (define @t562 () (@list @t558)) % 55.33/55.55 (define @t563 () (tptp.ab_sem1668676832m_mult @t29)) % 55.33/55.55 (define @t564 () (@var "X" $$unsorted)) % 55.33/55.55 (define @t565 () (tptp.ti @t29 @t564)) % 55.33/55.55 (define @t566 () (tptp.hAPP @t29 @t39 @t85 @t564)) % 55.33/55.55 (define @t567 () (@list @t564)) % 55.33/55.55 (define @t568 () (@var "B" $$unsorted)) % 55.33/55.55 (define @t569 () (tptp.hAPP @t29 @t29 @t560 @t568)) % 55.33/55.55 (define @t570 () (@list @t558 @t568)) % 55.33/55.55 (define @t571 () (tptp.hAPP @t2 @t1 @t360 @t270)) % 55.33/55.55 (define @t572 () (@var "Y_3" $$unsorted)) % 55.33/55.55 (define @t573 () (tptp.ti @t2 @t296)) % 55.33/55.55 (define @t574 () (tptp.hBOOL (tptp.hAPP @t51 tptp.bool @t49 @t350))) % 55.33/55.55 (define @t575 () (tptp.hAPP @t2 @t62 (tptp.hAPP @t51 @t63 @t121 @t350) @t388)) % 55.33/55.55 (define @t576 () (tptp.big_co1399186613setsum @t1 @t2)) % 55.33/55.55 (define @t577 () (tptp.hAPP @t13 @t12 @t576 @t350)) % 55.33/55.55 (define @t578 () (tptp.hAPP @t11 @t2 @t577 @t223)) % 55.33/55.55 (define @t579 () (tptp.hAPP @t11 @t2 @t577 @t528)) % 55.33/55.55 (define @t580 () (tptp.hAPP @t1 @t2 @t350 @t224)) % 55.33/55.55 (define @t581 () (tptp.hAPP @t2 @t50 @t550 @t578)) % 55.33/55.55 (define @t582 () (=> @t226 (= @t579 (tptp.hAPP @t2 @t2 @t581 @t580)))) % 55.33/55.55 (define @t583 () (@list @t350 @t224 @t223)) % 55.33/55.55 (define @t584 () (tptp.ab_group_add @t2)) % 55.33/55.55 (define @t585 () (tptp.hAPP @t13 @t12 @t10 @t360)) % 55.33/55.55 (define @t586 () (tptp.hAPP @t1 @t2 @t360 @t284)) % 55.33/55.55 (define @t587 () (tptp.times_times @t2)) % 55.33/55.55 (define @t588 () (tptp.hAPP @t2 @t50 @t587 @t586)) % 55.33/55.55 (define @t589 () (tptp.hAPP @t2 @t2 @t588 (tptp.hAPP @t11 @t2 @t585 @t501))) % 55.33/55.55 (define @t590 () (tptp.hAPP @t11 @t2 @t585 @t287)) % 55.33/55.55 (define @t591 () (@list @t360 @t284 @t223)) % 55.33/55.55 (define @t592 () (tptp.hAPP @t11 @t2 @t585 @t223)) % 55.33/55.55 (define @t593 () (tptp.hAPP @t11 @t60 @t499 @t236)) % 55.33/55.55 (define @t594 () (tptp.hAPP @t11 @t11 @t593 @t223)) % 55.33/55.55 (define @t595 () (tptp.hAPP @t51 @t57 @t56 @t350)) % 55.33/55.55 (define @t596 () (tptp.hAPP @t11 @t2 (tptp.hAPP @t2 @t12 @t595 @t555) @t223)) % 55.33/55.55 (define @t597 () (tptp.hAPP @t2 @t12 @t595 @t388)) % 55.33/55.55 (define @t598 () (tptp.hAPP @t11 @t2 @t597 @t223)) % 55.33/55.55 (define @t599 () (tptp.hAPP @t2 @t2 @t445 @t598)) % 55.33/55.55 (define @t600 () (tptp.hAPP @t1 @t50 @t350 @t296)) % 55.33/55.55 (define @t601 () (tptp.fun @t392 @t6)) % 55.33/55.55 (define @t602 () (tptp.fun @t2 @t393)) % 55.33/55.55 (define @t603 () (tptp.fun @t392 @t5)) % 55.33/55.55 (define @t604 () (tptp.big_co1399186613setsum @t392 @t1)) % 55.33/55.55 (define @t605 () (tptp.fun @t395 @t1)) % 55.33/55.55 (define @t606 () (tptp.fun @t2 @t605)) % 55.33/55.55 (define @t607 () (tptp.hAPP (tptp.fun @t393 @t605) (tptp.fun @t602 @t606) (tptp.combb @t393 @t605 @t2) @t604)) % 55.33/55.55 (define @t608 () (tptp.combc @t2 @t395 @t1)) % 55.33/55.55 (define @t609 () (tptp.fun @t395 @t6)) % 55.33/55.55 (define @t610 () (@list @t350 @t236 @t223)) % 55.33/55.55 (define @t611 () (@list @t2 @t392 @t1)) % 55.33/55.55 (define @t612 () (tptp.fun @t2 @t18)) % 55.33/55.55 (define @t613 () (tptp.hAPP @t1 @t5 (tptp.hAPP @t612 (tptp.fun @t1 @t5) (tptp.finite_fold @t2 @t1) @t350) @t388)) % 55.33/55.55 (define @t614 () (tptp.hAPP @t11 @t2 @t597 @t287)) % 55.33/55.55 (define @t615 () (= @t614 @t596)) % 55.33/55.55 (define @t616 () (@list @t1 @t2 @t388 @t284 @t223 @t350)) % 55.33/55.55 (define @t617 () (= @t614 @t599)) % 55.33/55.55 (define @t618 () (tptp.big_co302546470etprod @t2 @t1)) % 55.33/55.55 (define @t619 () (tptp.hAPP @t6 @t5 @t618 @t360)) % 55.33/55.55 (define @t620 () (tptp.hAPP @t6 @t5 @t618 @t350)) % 55.33/55.55 (define @t621 () (tptp.combb @t1 @t18 @t2)) % 55.33/55.55 (define @t622 () (tptp.fun @t6 @t612)) % 55.33/55.55 (define @t623 () (tptp.hAPP @t6 @t612 (tptp.hAPP @t19 @t622 @t621 @t82) @t350)) % 55.33/55.55 (define @t624 () (tptp.combs @t2 @t1 @t1)) % 55.33/55.55 (define @t625 () (@list @t350 @t360 @t223)) % 55.33/55.55 (define @t626 () (tptp.comm_monoid_mult @t1)) % 55.33/55.55 (define @t627 () (tptp.fun @t393 @t393)) % 55.33/55.55 (define @t628 () (tptp.fun @t2 @t627)) % 55.33/55.55 (define @t629 () (tptp.hAPP @t4 @t1 (tptp.hAPP @t6 @t5 @t3 @t350) @t223)) % 55.33/55.55 (define @t630 () (tptp.hAPP @t1 @t18 @t82 @t629)) % 55.33/55.55 (define @t631 () (tptp.semiring_0 @t1)) % 55.33/55.55 (define @t632 () (@var "R_2" $$unsorted)) % 55.33/55.55 (define @t633 () (tptp.hAPP @t1 @t18 @t82 @t632)) % 55.33/55.55 (define @t634 () (tptp.combb @t1 @t1 @t2)) % 55.33/55.55 (define @t635 () (tptp.hAPP @t4 @t1 (tptp.hAPP @t6 @t5 @t3 @t360) @t223)) % 55.33/55.55 (define @t636 () (tptp.hAPP @t11 @t2 (tptp.hAPP @t13 @t12 @t10 @t436) @t223)) % 55.33/55.55 (define @t637 () (tptp.combb @t2 @t50 @t1)) % 55.33/55.55 (define @t638 () (tptp.fun @t13 @t51)) % 55.33/55.55 (define @t639 () (tptp.fun @t2 @t50)) % 55.33/55.55 (define @t640 () (tptp.combs @t1 @t2 @t2)) % 55.33/55.55 (define @t641 () (@list @t360 @t436 @t223)) % 55.33/55.55 (define @t642 () (tptp.hAPP @t2 @t2 @t445 (tptp.hAPP @t11 @t2 @t597 @t501))) % 55.33/55.55 (define @t643 () (tptp.hAPP @t13 @t12 @t10 @t350)) % 55.33/55.55 (define @t644 () (tptp.hAPP @t11 @t2 @t643 @t223)) % 55.33/55.55 (define @t645 () (tptp.big_co1399186613setsum @t1 tptp.nat)) % 55.33/55.55 (define @t646 () (tptp.fun @t1 tptp.nat)) % 55.33/55.55 (define @t647 () (tptp.hAPP @t646 @t48 @t645 @t350)) % 55.33/55.55 (define @t648 () (tptp.hAPP @t11 tptp.nat @t647 @t223)) % 55.33/55.55 (define @t649 () (tptp.hAPP @t11 tptp.nat @t647 @t528)) % 55.33/55.55 (define @t650 () (tptp.minus_minus tptp.nat)) % 55.33/55.55 (define @t651 () (tptp.fun tptp.nat tptp.nat)) % 55.33/55.55 (define @t652 () (tptp.hAPP tptp.nat @t651 @t650 @t648)) % 55.33/55.55 (define @t653 () (tptp.finite_fold @t1 @t1)) % 55.33/55.55 (define @t654 () (tptp.hAPP @t19 @t137 @t653 @t350)) % 55.33/55.55 (define @t655 () (= (tptp.hAPP @t11 @t1 @t505 @t281) (tptp.hAPP @t11 @t1 (tptp.hAPP @t1 @t17 (tptp.hAPP @t19 @t137 @t653 @t82) @t224) @t223))) % 55.33/55.55 (define @t656 () (@list @t224 @t223)) % 55.33/55.55 (define @t657 () (@var "V" $$unsorted)) % 55.33/55.55 (define @t658 () (@var "S_1" $$unsorted)) % 55.33/55.55 (define @t659 () (tptp.fun @t1 @t392)) % 55.33/55.55 (define @t660 () (tptp.fun @t1 @t395)) % 55.33/55.55 (define @t661 () (tptp.fun @t392 @t11)) % 55.33/55.55 (define @t662 () (tptp.hAPP @t11 @t11 @t304 @t658)) % 55.33/55.55 (define @t663 () (tptp.hAPP @t252 @t60 @t255 (tptp.hAPP @t11 @t252 @t254 @t662))) % 55.33/55.55 (define @t664 () (tptp.combb @t11 @t11 @t392)) % 55.33/55.55 (define @t665 () (tptp.fun @t661 @t661)) % 55.33/55.55 (define @t666 () (tptp.hAPP @t13 @t12 @t576 @t360)) % 55.33/55.55 (define @t667 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 @t658))) % 55.33/55.55 (define @t668 () (tptp.comm_monoid_add @t2)) % 55.33/55.55 (define @t669 () (tptp.hAPP @t1 @t2 @t436 @t270)) % 55.33/55.55 (define @t670 () (forall @t272 (=> @t279 (= @t399 @t669)))) % 55.33/55.55 (define @t671 () (tptp.hAPP @t11 @t2 (tptp.hAPP @t13 @t12 @t576 @t436) @t223)) % 55.33/55.55 (define @t672 () (tptp.hAPP @t11 @t2 @t666 @t223)) % 55.33/55.55 (define @t673 () (@var "T_4" $$unsorted)) % 55.33/55.55 (define @t674 () (tptp.hAPP @t473 @t475 @t474 @t324)) % 55.33/55.55 (define @t675 () (tptp.combb @t11 @t11 @t2)) % 55.33/55.55 (define @t676 () (tptp.fun @t475 @t475)) % 55.33/55.55 (define @t677 () (tptp.fun @t2 @t659)) % 55.33/55.55 (define @t678 () (tptp.fun @t2 @t392)) % 55.33/55.55 (define @t679 () (tptp.fun @t1 @t678)) % 55.33/55.55 (define @t680 () (tptp.big_co1399186613setsum @t1 @t392)) % 55.33/55.55 (define @t681 () (tptp.fun @t11 @t392)) % 55.33/55.55 (define @t682 () (tptp.fun @t2 @t681)) % 55.33/55.55 (define @t683 () (tptp.big_co1399186613setsum @t2 @t392)) % 55.33/55.55 (define @t684 () (tptp.fun @t4 @t392)) % 55.33/55.55 (define @t685 () (tptp.hAPP (tptp.fun @t2 @t372) @t363 (tptp.combc @t2 @t4 tptp.bool) @t371)) % 55.33/55.55 (define @t686 () (tptp.fun @t2 @t158)) % 55.33/55.55 (define @t687 () (tptp.hAPP @t159 (tptp.fun @t4 @t686) (tptp.combb tptp.bool @t158 @t2) tptp.fconj)) % 55.33/55.55 (define @t688 () (tptp.combs @t2 tptp.bool tptp.bool)) % 55.33/55.55 (define @t689 () (tptp.combb @t4 @t4 @t1)) % 55.33/55.55 (define @t690 () (tptp.fun @t473 @t473)) % 55.33/55.55 (define @t691 () (tptp.collect @t2)) % 55.33/55.55 (define @t692 () (tptp.hAPP @t363 @t690 @t689 @t691)) % 55.33/55.55 (define @t693 () (tptp.hAPP @t473 @t473 @t692 (tptp.hAPP @t473 @t473 (tptp.hAPP @t363 @t690 @t689 (tptp.hAPP @t686 @t363 @t688 (tptp.hAPP @t4 @t686 @t687 (tptp.hAPP @t4 @t4 @t685 @t673)))) @t324))) % 55.33/55.55 (define @t694 () (tptp.fun @t1 @t684)) % 55.33/55.55 (define @t695 () (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t437 @t673))) % 55.33/55.55 (define @t696 () (tptp.plus_plus @t2)) % 55.33/55.55 (define @t697 () (tptp.hAPP @t2 @t50 @t696 @t586)) % 55.33/55.55 (define @t698 () (tptp.hAPP @t2 @t2 @t697 (tptp.hAPP @t11 @t2 @t666 @t501))) % 55.33/55.55 (define @t699 () (tptp.hAPP @t2 @t50 @t696 @t580)) % 55.33/55.55 (define @t700 () (tptp.hAPP @t11 @t2 @t666 @t287)) % 55.33/55.55 (define @t701 () (tptp.plus_plus @t1)) % 55.33/55.55 (define @t702 () (@var "E" $$unsorted)) % 55.33/55.55 (define @t703 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t701 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t82 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t73 @t227) @t224)) @t702)) @t318)) % 55.33/55.55 (define @t704 () (tptp.hAPP @t1 @t18 @t82 @t227)) % 55.33/55.55 (define @t705 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t701 (tptp.hAPP @t1 @t1 @t704 @t702)) @t318)) % 55.33/55.55 (define @t706 () (tptp.hAPP @t1 @t18 @t82 @t224)) % 55.33/55.55 (define @t707 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t701 (tptp.hAPP @t1 @t1 @t706 @t702)) @t189)) % 55.33/55.55 (define @t708 () (= @t707 @t705)) % 55.33/55.55 (define @t709 () (@list @t224 @t702 @t189 @t227 @t318)) % 55.33/55.55 (define @t710 () (tptp.ring @t1)) % 55.33/55.55 (define @t711 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t73 @t224) @t227)) % 55.33/55.55 (define @t712 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t701 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t82 @t711) @t702)) @t189)) % 55.33/55.55 (define @t713 () (tptp.minus_minus @t29)) % 55.33/55.55 (define @t714 () (tptp.hAPP @t29 @t39 @t713 @t558)) % 55.33/55.55 (define @t715 () (tptp.hAPP @t29 @t29 @t714 @t568)) % 55.33/55.55 (define @t716 () (tptp.group_add @t29)) % 55.33/55.55 (define @t717 () (tptp.hAPP @t29 @t39 @t77 @t558)) % 55.33/55.55 (define @t718 () (tptp.hAPP @t29 @t29 @t717 @t568)) % 55.33/55.55 (define @t719 () (@var "W_1" $$unsorted)) % 55.33/55.55 (define @t720 () (tptp.hAPP @t1 @t18 @t82 @t719)) % 55.33/55.55 (define @t721 () (tptp.semiri456707255roduct @t1)) % 55.33/55.55 (define @t722 () (@var "C" $$unsorted)) % 55.33/55.55 (define @t723 () (@var "E_1" $$unsorted)) % 55.33/55.55 (define @t724 () (tptp.hAPP @t29 @t39 @t85 @t718)) % 55.33/55.55 (define @t725 () (tptp.hAPP @t29 @t39 @t85 @t568)) % 55.33/55.55 (define @t726 () (@var "M" $$unsorted)) % 55.33/55.55 (define @t727 () (tptp.hAPP @t29 @t29 @t560 @t726)) % 55.33/55.55 (define @t728 () (tptp.hAPP @t29 @t39 @t77 @t727)) % 55.33/55.55 (define @t729 () (tptp.comm_semiring_1 @t29)) % 55.33/55.55 (define @t730 () (tptp.ti @t29 @t568)) % 55.33/55.55 (define @t731 () (= @t730 (tptp.ti @t29 @t722))) % 55.33/55.55 (define @t732 () (tptp.hAPP @t29 @t39 @t77 @t722)) % 55.33/55.55 (define @t733 () (tptp.hAPP @t29 @t29 @t732 @t558)) % 55.33/55.55 (define @t734 () (tptp.hAPP @t29 @t39 @t77 @t568)) % 55.33/55.55 (define @t735 () (@list @t568 @t558 @t722)) % 55.33/55.55 (define @t736 () (tptp.hAPP @t29 @t29 @t717 @t722)) % 55.33/55.55 (define @t737 () (@list @t558 @t568 @t722)) % 55.33/55.55 (define @t738 () (forall @t737 (=> (= @t718 @t736) @t731))) % 55.33/55.55 (define @t739 () (@var "D_1" $$unsorted)) % 55.33/55.55 (define @t740 () (tptp.hAPP @t29 @t29 @t734 @t739)) % 55.33/55.55 (define @t741 () (tptp.hAPP @t29 @t39 @t77 @t736)) % 55.33/55.55 (define @t742 () (tptp.hAPP @t29 @t29 @t732 @t739)) % 55.33/55.55 (define @t743 () (tptp.hAPP @t29 @t39 @t77 @t718)) % 55.33/55.55 (define @t744 () (tptp.hAPP @t1 @t18 @t701 @t189)) % 55.33/55.55 (define @t745 () (tptp.hAPP @t1 @t1 @t744 @t224)) % 55.33/55.55 (define @t746 () (tptp.hAPP @t1 @t18 @t701 @t227)) % 55.33/55.55 (define @t747 () (tptp.cancel_semigroup_add @t1)) % 55.33/55.55 (define @t748 () (tptp.hAPP @t1 @t18 @t701 @t224)) % 55.33/55.55 (define @t749 () (tptp.hAPP @t1 @t1 @t748 @t189)) % 55.33/55.55 (define @t750 () (@list @t224 @t227 @t189)) % 55.33/55.55 (define @t751 () (tptp.hAPP @t29 @t29 @t743 @t722)) % 55.33/55.55 (define @t752 () (tptp.hAPP @t29 @t29 @t734 @t722)) % 55.33/55.55 (define @t753 () (forall @t737 (= @t751 (tptp.hAPP @t29 @t29 @t717 @t752)))) % 55.33/55.55 (define @t754 () (tptp.hAPP @t29 @t29 @t717 @t742)) % 55.33/55.55 (define @t755 () (@list @t558 @t722 @t739)) % 55.33/55.55 (define @t756 () (@var "Ry" $$unsorted)) % 55.33/55.55 (define @t757 () (@var "Ly" $$unsorted)) % 55.33/55.55 (define @t758 () (tptp.hAPP @t29 @t39 @t85 @t757)) % 55.33/55.55 (define @t759 () (@var "Rx" $$unsorted)) % 55.33/55.55 (define @t760 () (@var "Lx" $$unsorted)) % 55.33/55.55 (define @t761 () (tptp.hAPP @t29 @t39 @t85 @t760)) % 55.33/55.55 (define @t762 () (tptp.hAPP @t29 @t39 @t85 (tptp.hAPP @t29 @t29 @t761 @t759))) % 55.33/55.55 (define @t763 () (tptp.hAPP @t29 @t39 @t85 @t759)) % 55.33/55.55 (define @t764 () (tptp.hAPP @t29 @t29 @t763 @t756)) % 55.33/55.55 (define @t765 () (tptp.hAPP @t29 @t39 @t85 (tptp.hAPP @t29 @t29 @t761 @t757))) % 55.33/55.55 (define @t766 () (tptp.hAPP @t29 @t29 @t765 @t764)) % 55.33/55.55 (define @t767 () (@list @t760 @t757 @t759 @t756)) % 55.33/55.55 (define @t768 () (tptp.hAPP @t29 @t29 @t765 @t759)) % 55.33/55.55 (define @t769 () (@list @t760 @t757 @t759)) % 55.33/55.55 (define @t770 () (tptp.hAPP @t29 @t29 @t725 @t722)) % 55.33/55.55 (define @t771 () (tptp.hAPP @t29 @t29 @t761 @t764)) % 55.33/55.55 (define @t772 () (@list @t760 @t759 @t756)) % 55.33/55.55 (define @t773 () (tptp.hAPP @t29 @t29 @t725 @t558)) % 55.33/55.55 (define @t774 () (= @t316 @t319)) % 55.33/55.55 (define @t775 () (= @t711 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t73 @t189) @t318))) % 55.33/55.55 (define @t776 () (@list @t224 @t227 @t189 @t318)) % 55.33/55.55 (define @t777 () (@var "Z" $$unsorted)) % 55.33/55.55 (define @t778 () (@var "Y" $$unsorted)) % 55.33/55.55 (define @t779 () (tptp.hAPP @t29 @t29 @t566 @t778)) % 55.33/55.55 (define @t780 () (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t77 @t778) @t777)) % 55.33/55.55 (define @t781 () (@list @t564 @t778 @t777)) % 55.33/55.55 (define @t782 () (tptp.hAPP @t1 @t1 @t704 @t189)) % 55.33/55.55 (define @t783 () (tptp.hAPP @t1 @t1 @t706 @t189)) % 55.33/55.55 (define @t784 () (tptp.hAPP @t29 @t29 @t560 @t722)) % 55.33/55.55 (define @t785 () (forall @t737 (= (tptp.hAPP @t29 @t29 @t724 @t722) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t77 @t784) @t770)))) % 55.33/55.55 (define @t786 () (tptp.hAPP @t11 @t2 @t585 @t236)) % 55.33/55.55 (define @t787 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t278 @t236))) % 55.33/55.55 (define @t788 () (forall @t272 (=> @t787 @t401))) % 55.33/55.55 (define @t789 () (@list @t350 @t360 @t223 @t236)) % 55.33/55.55 (define @t790 () (forall @t272 (=> @t787 (= @t669 @t399)))) % 55.33/55.55 (define @t791 () (@list @t436 @t360 @t223 @t236)) % 55.33/55.55 (define @t792 () (tptp.hAPP @t11 @t2 @t666 @t236)) % 55.33/55.55 (define @t793 () (@var "K_1" $$unsorted)) % 55.33/55.55 (define @t794 () (tptp.hAPP @t11 @t11 (tptp.hAPP @t1 @t60 @t153 @t793) @t242)) % 55.33/55.55 (define @t795 () (tptp.hAPP @t1 @t11 @t150 @t793)) % 55.33/55.55 (define @t796 () (@list @t793)) % 55.33/55.55 (define @t797 () (tptp.ord_less_eq @t11)) % 55.33/55.55 (define @t798 () (tptp.hAPP @t11 @t55 @t797 @t236)) % 55.33/55.55 (define @t799 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t798 @t223))) % 55.33/55.55 (define @t800 () (tptp.ord_less_eq @t29)) % 55.33/55.55 (define @t801 () (tptp.hAPP @t29 @t157 @t800 @t564)) % 55.33/55.55 (define @t802 () (tptp.preorder @t29)) % 55.33/55.55 (define @t803 () (tptp.hAPP @t11 @t55 @t797 @t223)) % 55.33/55.55 (define @t804 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t803 @t236))) % 55.33/55.55 (define @t805 () (tptp.fun @t11 @t55)) % 55.33/55.55 (define @t806 () (tptp.hAPP @t29 @t157 @t800 @t778)) % 55.33/55.55 (define @t807 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t806 @t564))) % 55.33/55.55 (define @t808 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t801 @t778))) % 55.33/55.55 (define @t809 () (@list @t564 @t778)) % 55.33/55.55 (define @t810 () (tptp.linorder @t29)) % 55.33/55.55 (define @t811 () (tptp.ord_less_eq @t13)) % 55.33/55.55 (define @t812 () (tptp.fun @t13 tptp.bool)) % 55.33/55.55 (define @t813 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t812 @t811 @t350) @t360))) % 55.33/55.55 (define @t814 () (tptp.hAPP @t29 @t157 @t800 @t777)) % 55.33/55.55 (define @t815 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t814 @t564))) % 55.33/55.55 (define @t816 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t814 @t778))) % 55.33/55.55 (define @t817 () (@list @t777 @t778 @t564)) % 55.33/55.55 (define @t818 () (tptp.order @t29)) % 55.33/55.55 (define @t819 () (tptp.ti @t29 @t778)) % 55.33/55.55 (define @t820 () (= @t565 @t819)) % 55.33/55.55 (define @t821 () (@list @t778 @t564)) % 55.33/55.55 (define @t822 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t801 @t777))) % 55.33/55.55 (define @t823 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t806 @t777))) % 55.33/55.55 (define @t824 () (@list @t777 @t564 @t778)) % 55.33/55.55 (define @t825 () (tptp.hAPP @t29 @t157 @t800 @t722)) % 55.33/55.55 (define @t826 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t825 @t558))) % 55.33/55.55 (define @t827 () (tptp.hAPP @t29 @t157 @t800 @t568)) % 55.33/55.55 (define @t828 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t827 @t558))) % 55.33/55.55 (define @t829 () (@list @t722 @t568 @t558)) % 55.33/55.55 (define @t830 () (tptp.hAPP @t29 @t157 @t800 @t558)) % 55.33/55.55 (define @t831 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t830 @t722))) % 55.33/55.55 (define @t832 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t830 @t568))) % 55.33/55.55 (define @t833 () (@list @t722 @t558 @t568)) % 55.33/55.55 (define @t834 () (= @t559 @t730)) % 55.33/55.55 (define @t835 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t827 @t722))) % 55.33/55.55 (define @t836 () (= @t295 @t297)) % 55.33/55.55 (define @t837 () (tptp.ord_less_eq @t1)) % 55.33/55.55 (define @t838 () (tptp.hAPP @t1 @t11 @t837 @t284)) % 55.33/55.55 (define @t839 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t838 @t296))) % 55.33/55.55 (define @t840 () (= @t839 @t836)) % 55.33/55.55 (define @t841 () (tptp.hAPP @t1 @t11 @t837 @t296)) % 55.33/55.55 (define @t842 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t841 @t284))) % 55.33/55.55 (define @t843 () (@list @t296 @t284)) % 55.33/55.55 (define @t844 () (= @t564 @t778)) % 55.33/55.55 (define @t845 () (@list @t284 @t296)) % 55.33/55.55 (define @t846 () (tptp.hAPP @t2 @t4 @t130 @t400)) % 55.33/55.55 (define @t847 () (forall @t272 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t846 @t399)))) % 55.33/55.55 (define @t848 () (@list @t350 @t360)) % 55.33/55.55 (define @t849 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t803 @t190))) % 55.33/55.55 (define @t850 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t798 @t190))) % 55.33/55.55 (define @t851 () (@list @t1 @t190 @t223 @t236)) % 55.33/55.55 (define @t852 () (@list @t1 @t284 @t223 @t236)) % 55.33/55.55 (define @t853 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t188 @t284))) % 55.33/55.55 (define @t854 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t191 @t284))) % 55.33/55.55 (define @t855 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 @t191) @t188))) % 55.33/55.55 (define @t856 () (tptp.hAPP @t1 @t11 @t150 @t296)) % 55.33/55.55 (define @t857 () (tptp.hAPP @t1 @t11 @t150 @t284)) % 55.33/55.55 (define @t858 () (tptp.hAPP @t29 @t29 @t732 @t568)) % 55.33/55.55 (define @t859 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t800 @t733) @t858))) % 55.33/55.55 (define @t860 () (tptp.ordere236663937imp_le @t29)) % 55.33/55.55 (define @t861 () (tptp.hAPP @t29 @t157 @t800 @t736)) % 55.33/55.55 (define @t862 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t861 @t752))) % 55.33/55.55 (define @t863 () (@list @t558 @t722 @t568)) % 55.33/55.55 (define @t864 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t825 @t739))) % 55.33/55.55 (define @t865 () (@list @t722 @t739 @t558 @t568)) % 55.33/55.55 (define @t866 () (tptp.ordere779506340up_add @t29)) % 55.33/55.55 (define @t867 () (tptp.hAPP @t1 @t11 @t837 @t224)) % 55.33/55.55 (define @t868 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t867 @t227))) % 55.33/55.55 (define @t869 () (tptp.hAPP @t1 @t1 @t744 @t227)) % 55.33/55.55 (define @t870 () (@list @t189 @t224 @t227)) % 55.33/55.55 (define @t871 () (tptp.ordere236663937imp_le @t1)) % 55.33/55.55 (define @t872 () (tptp.hAPP @t1 @t1 @t746 @t189)) % 55.33/55.55 (define @t873 () (@list @t224 @t189 @t227)) % 55.33/55.55 (define @t874 () (tptp.bot_bot @t29)) % 55.33/55.55 (define @t875 () (tptp.bot @t29)) % 55.33/55.55 (define @t876 () (= @t229 @t122)) % 55.33/55.55 (define @t877 () (@list @t224)) % 55.33/55.55 (define @t878 () (tptp.hAPP @t1 @t11 @t837 @t189)) % 55.33/55.55 (define @t879 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t878 @t318))) % 55.33/55.55 (define @t880 () (tptp.ordered_ab_group_add @t1)) % 55.33/55.55 (define @t881 () (@var "D_2" $$unsorted)) % 55.33/55.55 (define @t882 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t803 @t286))) % 55.33/55.55 (define @t883 () (tptp.ord_less_eq @t4)) % 55.33/55.55 (define @t884 () (tptp.hAPP @t4 @t372 @t883 @t384)) % 55.33/55.55 (define @t885 () (@list @t2 @t1 @t350 @t223 @t236)) % 55.33/55.55 (define @t886 () (@var "AA" $$unsorted)) % 55.33/55.55 (define @t887 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t798 @t369))) % 55.33/55.55 (define @t888 () (tptp.hAPP @t11 @t60 @t499 @t190)) % 55.33/55.55 (define @t889 () (tptp.hAPP @t11 @t55 @t797 @t511)) % 55.33/55.55 (define @t890 () (@var "Ts_1" $$unsorted)) % 55.33/55.55 (define @t891 () (tptp.hAPP @t99 @t100 (tptp.ord_less_eq @t99) @t181)) % 55.33/55.55 (define @t892 () (tptp.hAPP @t4 @t372 @t883 @t236)) % 55.33/55.55 (define @t893 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t707) @t705))) % 55.33/55.55 (define @t894 () (tptp.ordered_ring @t1)) % 55.33/55.55 (define @t895 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 @t501) @t236))) % 55.33/55.55 (define @t896 () (=> @t292 @t804)) % 55.33/55.55 (define @t897 () (not (= @t282 @t242))) % 55.33/55.55 (define @t898 () (@var "C_2" $$unsorted)) % 55.33/55.55 (define @t899 () (@var "K_2" $$unsorted)) % 55.33/55.55 (define @t900 () (@var "I_2" $$unsorted)) % 55.33/55.55 (define @t901 () (tptp.hAPP @t2 @t4 @t130 (tptp.hAPP @t1 @t2 @t350 @t900))) % 55.33/55.55 (define @t902 () (tptp.hAPP @t1 @t55 @t167 @t900)) % 55.33/55.55 (define @t903 () (@list @t900)) % 55.33/55.55 (define @t904 () (tptp.ordere779506340up_add @t2)) % 55.33/55.55 (define @t905 () (tptp.hAPP @t11 @t1 (tptp.hAPP @t1 @t17 @t136 @t227) @t223)) % 55.33/55.55 (define @t906 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t803 @t311))) % 55.33/55.55 (define @t907 () (@var "N" $$unsorted)) % 55.33/55.55 (define @t908 () (tptp.ord_lessThan tptp.nat)) % 55.33/55.55 (define @t909 () (tptp.hAPP tptp.nat @t148 @t908 @t907)) % 55.33/55.55 (define @t910 () (tptp.fun tptp.nat @t651)) % 55.33/55.55 (define @t911 () (tptp.big_co1399186613setsum tptp.nat tptp.nat)) % 55.33/55.55 (define @t912 () (tptp.fun @t148 tptp.nat)) % 55.33/55.55 (define @t913 () (tptp.ord_less_eq tptp.nat)) % 55.33/55.55 (define @t914 () (tptp.ord_min @t1)) % 55.33/55.55 (define @t915 () (tptp.hAPP @t19 @t17 @t58 @t914)) % 55.33/55.55 (define @t916 () (tptp.hAPP @t11 @t1 @t915 @t223)) % 55.33/55.55 (define @t917 () (@list @t236 @t223)) % 55.33/55.55 (define @t918 () (forall @t272 (=> @t271 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t188 @t270))))) % 55.33/55.55 (define @t919 () (tptp.hAPP @t11 @t1 @t25 @t408)) % 55.33/55.55 (define @t920 () (not (= @t411 @t242))) % 55.33/55.55 (define @t921 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 @t409) @t408))) % 55.33/55.55 (define @t922 () (@list @t409 @t408)) % 55.33/55.55 (define @t923 () (tptp.hAPP @t11 @t1 @t24 @t408)) % 55.33/55.55 (define @t924 () (tptp.finite_finite_1 tptp.nat)) % 55.33/55.55 (define @t925 () (tptp.combc tptp.nat tptp.nat tptp.bool)) % 55.33/55.55 (define @t926 () (tptp.collect tptp.nat)) % 55.33/55.55 (define @t927 () (@var "M_2" $$unsorted)) % 55.33/55.55 (define @t928 () (tptp.member tptp.nat)) % 55.33/55.55 (define @t929 () (tptp.fun @t148 tptp.bool)) % 55.33/55.55 (define @t930 () (tptp.hBOOL (tptp.hAPP @t148 tptp.bool (tptp.hAPP tptp.nat @t929 @t928 @t270) @t408))) % 55.33/55.55 (define @t931 () (@list @t927)) % 55.33/55.55 (define @t932 () (tptp.hBOOL (tptp.hAPP @t148 tptp.bool @t924 @t408))) % 55.33/55.55 (define @t933 () (@list @t408)) % 55.33/55.55 (define @t934 () (tptp.hAPP @t11 @t1 @t25 @t223)) % 55.33/55.55 (define @t935 () (tptp.hAPP @t1 @t18 @t914 @t284)) % 55.33/55.55 (define @t936 () (tptp.hAPP @t1 @t1 @t935 @t934)) % 55.33/55.55 (define @t937 () (tptp.hAPP @t29 @t39 @t134 @t564)) % 55.33/55.55 (define @t938 () (tptp.hAPP @t29 @t39 @t134 @t778)) % 55.33/55.55 (define @t939 () (tptp.hAPP @t29 @t29 @t938 @t777)) % 55.33/55.55 (define @t940 () (tptp.hAPP @t29 @t29 @t937 @t939)) % 55.33/55.55 (define @t941 () (tptp.hAPP @t29 @t29 @t937 @t778)) % 55.33/55.55 (define @t942 () (tptp.hAPP @t29 @t39 @t134 @t568)) % 55.33/55.55 (define @t943 () (tptp.hAPP @t29 @t39 @t134 @t558)) % 55.33/55.55 (define @t944 () (tptp.hAPP @t29 @t29 @t943 (tptp.hAPP @t29 @t29 @t942 @t722))) % 55.33/55.55 (define @t945 () (tptp.hAPP @t29 @t29 @t943 @t568)) % 55.33/55.55 (define @t946 () (tptp.hAPP @t29 @t29 @t937 @t777)) % 55.33/55.55 (define @t947 () (tptp.hAPP @t29 @t29 @t938 @t564)) % 55.33/55.55 (define @t948 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t841 @t388))) % 55.33/55.55 (define @t949 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t838 @t388))) % 55.33/55.55 (define @t950 () (tptp.hAPP @t1 @t1 @t935 @t296)) % 55.33/55.55 (define @t951 () (@list @t284 @t296 @t388)) % 55.33/55.55 (define @t952 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t801 @t568))) % 55.33/55.55 (define @t953 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t801 @t558))) % 55.33/55.55 (define @t954 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t801 @t945))) % 55.33/55.55 (define @t955 () (tptp.hAPP @t29 @t157 @t800 @t945)) % 55.33/55.55 (define @t956 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t827 @t739))) % 55.33/55.55 (define @t957 () (@list @t568 @t739 @t558 @t722)) % 55.33/55.55 (define @t958 () (@list @t568 @t564 @t558)) % 55.33/55.55 (define @t959 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t955 @t564))) % 55.33/55.55 (define @t960 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t827 @t564))) % 55.33/55.55 (define @t961 () (@list @t558 @t568 @t564)) % 55.33/55.55 (define @t962 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t830 @t564))) % 55.33/55.55 (define @t963 () (@list @t568 @t558 @t564)) % 55.33/55.55 (define @t964 () (tptp.hAPP @t29 @t157 @t800 @t941)) % 55.33/55.55 (define @t965 () (tptp.hAPP @t29 @t39 @t77 @t564)) % 55.33/55.55 (define @t966 () (tptp.hAPP @t29 @t29 @t965 @t777)) % 55.33/55.55 (define @t967 () (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t713 @t778) @t777)) % 55.33/55.55 (define @t968 () (tptp.hAPP @t29 @t39 @t713 @t564)) % 55.33/55.55 (define @t969 () (tptp.hAPP @t29 @t29 @t968 @t777)) % 55.33/55.55 (define @t970 () (tptp.ordered_ab_group_add @t29)) % 55.33/55.55 (define @t971 () (tptp.hAPP @t11 @t1 @t25 @t287)) % 55.33/55.55 (define @t972 () (=> @t277 (= @t971 @t936))) % 55.33/55.55 (define @t973 () (tptp.hAPP @t19 @t137 @t653 @t914)) % 55.33/55.55 (define @t974 () (tptp.hAPP @t11 @t1 (tptp.hAPP @t1 @t17 @t973 @t284) @t223)) % 55.33/55.55 (define @t975 () (tptp.hAPP @t11 @t1 (tptp.hAPP @t1 @t17 @t973 @t224) @t223)) % 55.33/55.55 (define @t976 () (tptp.hAPP @t1 @t1 @t935 (tptp.hAPP @t11 @t1 @t25 @t501))) % 55.33/55.55 (define @t977 () (= @t934 @t295)) % 55.33/55.55 (define @t978 () (tptp.hAPP @t11 @t1 @t24 @t223)) % 55.33/55.55 (define @t979 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t1 @t55 @t167 @t978) @t223))) % 55.33/55.55 (define @t980 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t1 @t55 @t167 @t934) @t223))) % 55.33/55.55 (define @t981 () (tptp.hAPP @t1 @t18 @t914 @t224)) % 55.33/55.55 (define @t982 () (tptp.hAPP @t1 @t17 @t973 @t227)) % 55.33/55.55 (define @t983 () (tptp.hAPP @t11 @t1 @t982 @t223)) % 55.33/55.55 (define @t984 () (@list @t227 @t224 @t223)) % 55.33/55.55 (define @t985 () (tptp.hAPP @t1 @t11 @t837 @t916)) % 55.33/55.55 (define @t986 () (tptp.hAPP @t1 @t11 @t837 @t270)) % 55.33/55.55 (define @t987 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t914 @t270) @t330)) % 55.33/55.55 (define @t988 () (forall @t429 (= (tptp.hAPP @t1 @t1 @t436 @t987) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t914 @t539) @t538)))) % 55.33/55.55 (define @t989 () (forall @t429 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t1 @t55 @t167 @t987) @t427)))) % 55.33/55.55 (define @t990 () (tptp.hAPP @t1 @t11 @t837 @t227)) % 55.33/55.55 (define @t991 () (@list @t189 @t227 @t223)) % 55.33/55.55 (define @t992 () (= @t978 @t295)) % 55.33/55.55 (define @t993 () (tptp.hAPP @t1 @t11 @t837 @t330)) % 55.33/55.55 (define @t994 () (tptp.hAPP @t125 @t125 @t248 @t837)) % 55.33/55.55 (define @t995 () (@var "U" $$unsorted)) % 55.33/55.55 (define @t996 () (@var "N_2" $$unsorted)) % 55.33/55.55 (define @t997 () (tptp.hAPP tptp.nat tptp.nat @t350 @t996)) % 55.33/55.55 (define @t998 () (@list @t996)) % 55.33/55.55 (define @t999 () (@var "Least" $$unsorted)) % 55.33/55.55 (define @t1000 () (tptp.ti @t29 @t999)) % 55.33/55.55 (define @t1001 () (forall @t272 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t800 @t999) @t270)))) % 55.33/55.55 (define @t1002 () (@list @t564 @t999)) % 55.33/55.55 (define @t1003 () (@var "M_1" $$unsorted)) % 55.33/55.55 (define @t1004 () (tptp.hAPP tptp.nat @t148 @t913 @t1003)) % 55.33/55.55 (define @t1005 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1004 @t907))) % 55.33/55.55 (define @t1006 () (tptp.hAPP tptp.nat @t651 @t650 @t907)) % 55.33/55.55 (define @t1007 () (tptp.hAPP tptp.nat tptp.nat @t1006 @t793)) % 55.33/55.55 (define @t1008 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 @t1003) @t793)) % 55.33/55.55 (define @t1009 () (tptp.hAPP tptp.nat @t148 @t913 @t793)) % 55.33/55.55 (define @t1010 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1009 @t907))) % 55.33/55.55 (define @t1011 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1009 @t1003))) % 55.33/55.55 (define @t1012 () (@list @t907 @t793 @t1003)) % 55.33/55.55 (define @t1013 () (@var "L_1" $$unsorted)) % 55.33/55.55 (define @t1014 () (@var "J" $$unsorted)) % 55.33/55.55 (define @t1015 () (tptp.times_times tptp.nat)) % 55.33/55.55 (define @t1016 () (tptp.hAPP tptp.nat @t651 @t1015 @t1014)) % 55.33/55.55 (define @t1017 () (@var "K" $$unsorted)) % 55.33/55.55 (define @t1018 () (@var "I" $$unsorted)) % 55.33/55.55 (define @t1019 () (tptp.hAPP tptp.nat @t651 @t1015 @t1018)) % 55.33/55.55 (define @t1020 () (tptp.hAPP tptp.nat @t148 @t913 (tptp.hAPP tptp.nat tptp.nat @t1019 @t1017))) % 55.33/55.55 (define @t1021 () (tptp.hAPP tptp.nat @t148 @t913 @t1017)) % 55.33/55.55 (define @t1022 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1021 @t1013))) % 55.33/55.55 (define @t1023 () (tptp.hAPP tptp.nat @t148 @t913 @t1018)) % 55.33/55.55 (define @t1024 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1023 @t1014))) % 55.33/55.55 (define @t1025 () (@list @t1017 @t1013 @t1018 @t1014)) % 55.33/55.55 (define @t1026 () (tptp.hAPP tptp.nat @t651 @t1015 @t1017)) % 55.33/55.55 (define @t1027 () (@list @t1017 @t1018 @t1014)) % 55.33/55.55 (define @t1028 () (tptp.hAPP tptp.nat @t651 @t1015 @t726)) % 55.33/55.55 (define @t1029 () (tptp.hAPP tptp.nat tptp.nat @t1028 @t726)) % 55.33/55.55 (define @t1030 () (tptp.hAPP tptp.nat @t148 @t913 @t726)) % 55.33/55.55 (define @t1031 () (@list @t726)) % 55.33/55.55 (define @t1032 () (@var "N_1" $$unsorted)) % 55.33/55.55 (define @t1033 () (tptp.hAPP tptp.nat @t148 @t913 @t1032)) % 55.33/55.55 (define @t1034 () (@list @t1032)) % 55.33/55.55 (define @t1035 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1033 @t726))) % 55.33/55.55 (define @t1036 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1030 @t1032))) % 55.33/55.55 (define @t1037 () (@list @t726 @t1032)) % 55.33/55.55 (define @t1038 () (= @t726 @t1032)) % 55.33/55.55 (define @t1039 () (tptp.hAPP tptp.nat @t148 @t913 @t1014)) % 55.33/55.55 (define @t1040 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1021 @t1032))) % 55.33/55.55 (define @t1041 () (tptp.plus_plus tptp.nat)) % 55.33/55.55 (define @t1042 () (tptp.hAPP tptp.nat @t651 @t1041 @t726)) % 55.33/55.55 (define @t1043 () (tptp.hAPP tptp.nat tptp.nat @t1042 @t1017)) % 55.33/55.55 (define @t1044 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 @t1043) @t1032))) % 55.33/55.55 (define @t1045 () (@list @t726 @t1017 @t1032)) % 55.33/55.55 (define @t1046 () (tptp.hAPP tptp.nat @t651 @t1041 @t1014)) % 55.33/55.55 (define @t1047 () (tptp.hAPP tptp.nat tptp.nat @t1046 @t1013)) % 55.33/55.55 (define @t1048 () (tptp.hAPP tptp.nat @t651 @t1041 @t1018)) % 55.33/55.55 (define @t1049 () (tptp.hAPP tptp.nat tptp.nat @t1048 @t1017)) % 55.33/55.55 (define @t1050 () (tptp.hAPP tptp.nat @t148 @t913 @t1049)) % 55.33/55.55 (define @t1051 () (tptp.hAPP tptp.nat tptp.nat @t1046 @t1017)) % 55.33/55.55 (define @t1052 () (tptp.hAPP tptp.nat tptp.nat @t1042 @t1014)) % 55.33/55.55 (define @t1053 () (@list @t726 @t1018 @t1014)) % 55.33/55.55 (define @t1054 () (tptp.hAPP tptp.nat tptp.nat @t1046 @t726)) % 55.33/55.55 (define @t1055 () (tptp.hAPP tptp.nat @t651 @t1041 @t793)) % 55.33/55.55 (define @t1056 () (tptp.hAPP tptp.nat tptp.nat @t1055 @t907)) % 55.33/55.55 (define @t1057 () (tptp.hAPP tptp.nat tptp.nat @t1055 @t1003)) % 55.33/55.55 (define @t1058 () (@list @t793 @t1003 @t907)) % 55.33/55.55 (define @t1059 () (@var "K_3" $$unsorted)) % 55.33/55.55 (define @t1060 () (tptp.hAPP tptp.nat @t651 @t1041 @t1003)) % 55.33/55.55 (define @t1061 () (@list @t1003 @t907)) % 55.33/55.55 (define @t1062 () (tptp.hAPP tptp.nat @t651 @t1041 @t1032)) % 55.33/55.55 (define @t1063 () (tptp.hAPP tptp.nat tptp.nat @t1062 @t726)) % 55.33/55.55 (define @t1064 () (@list @t1032 @t726)) % 55.33/55.55 (define @t1065 () (tptp.hAPP tptp.nat tptp.nat @t1042 @t1032)) % 55.33/55.55 (define @t1066 () (tptp.ord_min tptp.nat)) % 55.33/55.55 (define @t1067 () (tptp.hAPP tptp.nat @t651 @t650 @t1032)) % 55.33/55.55 (define @t1068 () (tptp.hAPP tptp.nat tptp.nat @t1067 @t1018)) % 55.33/55.55 (define @t1069 () (tptp.hAPP tptp.nat @t651 @t650 @t726)) % 55.33/55.55 (define @t1070 () (tptp.hAPP tptp.nat tptp.nat @t1026 @t1032)) % 55.33/55.55 (define @t1071 () (tptp.hAPP tptp.nat tptp.nat @t1026 @t726)) % 55.33/55.55 (define @t1072 () (tptp.hAPP tptp.nat tptp.nat @t1069 @t1032)) % 55.33/55.55 (define @t1073 () (@list @t1017 @t726 @t1032)) % 55.33/55.55 (define @t1074 () (tptp.hAPP tptp.nat @t651 @t650 @t1063)) % 55.33/55.55 (define @t1075 () (tptp.hAPP tptp.nat @t651 @t650 @t1018)) % 55.33/55.55 (define @t1076 () (tptp.hAPP tptp.nat tptp.nat @t1075 @t1014)) % 55.33/55.55 (define @t1077 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 @t1076) @t1017)) % 55.33/55.55 (define @t1078 () (@list @t1018 @t1014 @t1017)) % 55.33/55.55 (define @t1079 () (tptp.hAPP tptp.nat @t651 @t1015 @t1032)) % 55.33/55.55 (define @t1080 () (tptp.hAPP tptp.nat tptp.nat @t1079 @t1017)) % 55.33/55.55 (define @t1081 () (tptp.hAPP tptp.nat tptp.nat @t1028 @t1017)) % 55.33/55.55 (define @t1082 () (@list @t726 @t1032 @t1017)) % 55.33/55.55 (define @t1083 () (tptp.hAPP tptp.nat @t651 @t1041 @t1017)) % 55.33/55.55 (define @t1084 () (tptp.hAPP tptp.nat tptp.nat @t1083 @t1032)) % 55.33/55.55 (define @t1085 () (tptp.hAPP tptp.nat tptp.nat @t1062 @t1017)) % 55.33/55.55 (define @t1086 () (tptp.hAPP tptp.nat @t651 @t650 @t1014)) % 55.33/55.55 (define @t1087 () (tptp.hAPP tptp.nat tptp.nat @t1086 @t1017)) % 55.33/55.55 (define @t1088 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1021 @t1014))) % 55.33/55.55 (define @t1089 () (@list @t1018 @t1017 @t1014)) % 55.33/55.55 (define @t1090 () (@var "I_1" $$unsorted)) % 55.33/55.55 (define @t1091 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1041 @t1090) @t793)) % 55.33/55.55 (define @t1092 () (@var "J_1" $$unsorted)) % 55.33/55.55 (define @t1093 () (tptp.hAPP tptp.nat @t148 @t913 @t1092)) % 55.33/55.55 (define @t1094 () (tptp.hAPP tptp.nat @t651 @t650 @t1092)) % 55.33/55.55 (define @t1095 () (tptp.hAPP tptp.nat tptp.nat @t1094 @t793)) % 55.33/55.55 (define @t1096 () (tptp.hAPP tptp.nat @t651 @t650 @t1013)) % 55.33/55.55 (define @t1097 () (tptp.hAPP tptp.nat tptp.nat @t1096 @t726)) % 55.33/55.55 (define @t1098 () (tptp.hAPP tptp.nat tptp.nat @t1096 @t1032)) % 55.33/55.55 (define @t1099 () (@list @t1013 @t726 @t1032)) % 55.33/55.55 (define @t1100 () (= (tptp.hAPP tptp.nat tptp.nat @t1062 @t1072) @t726)) % 55.33/55.55 (define @t1101 () (tptp.hAPP tptp.nat tptp.nat @t1048 @t1014)) % 55.33/55.55 (define @t1102 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 @t1101) @t1017)) % 55.33/55.55 (define @t1103 () (tptp.hAPP tptp.nat tptp.nat @t1048 @t1087)) % 55.33/55.55 (define @t1104 () (tptp.hAPP tptp.nat @t148 @t913 @t1090)) % 55.33/55.55 (define @t1105 () (tptp.hAPP tptp.nat tptp.nat @t1094 @t1090)) % 55.33/55.55 (define @t1106 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1104 @t1092))) % 55.33/55.55 (define @t1107 () (@list @t793 @t1090 @t1092)) % 55.33/55.55 (define @t1108 () (tptp.hAPP tptp.nat tptp.nat @t1046 @t1018)) % 55.33/55.55 (define @t1109 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 @t1108) @t1017)) % 55.33/55.55 (define @t1110 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1041 @t1087) @t1018)) % 55.33/55.55 (define @t1111 () (= @t1003 @t907)) % 55.33/55.55 (define @t1112 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1041 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1015 @t1105) @t995)) @t907)) % 55.33/55.55 (define @t1113 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1041 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1015 @t1092) @t995)) @t907)) % 55.33/55.55 (define @t1114 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1041 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1015 @t1090) @t995)) @t1003)) % 55.33/55.55 (define @t1115 () (= @t1114 @t1113)) % 55.33/55.55 (define @t1116 () (@list @t995 @t1003 @t907 @t1090 @t1092)) % 55.33/55.55 (define @t1117 () (@var "U_1" $$unsorted)) % 55.33/55.55 (define @t1118 () (tptp.hAPP tptp.nat @t651 @t1041 (tptp.hAPP tptp.nat tptp.nat @t1016 @t1117))) % 55.33/55.55 (define @t1119 () (tptp.hAPP tptp.nat @t651 @t1041 (tptp.hAPP tptp.nat tptp.nat @t1019 @t1117))) % 55.33/55.55 (define @t1120 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 (tptp.hAPP tptp.nat tptp.nat @t1119 @t726)) (tptp.hAPP tptp.nat tptp.nat @t1118 @t1032))) % 55.33/55.55 (define @t1121 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 @t1114) @t1113))) % 55.33/55.55 (define @t1122 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1041 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1015 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 @t1090) @t1092)) @t995)) @t1003)) % 55.33/55.55 (define @t1123 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1093 @t1090))) % 55.33/55.55 (define @t1124 () (@list @t995 @t1003 @t907 @t1092 @t1090)) % 55.33/55.55 (define @t1125 () (tptp.hAPP tptp.nat tptp.nat @t1028 @t1032)) % 55.33/55.55 (define @t1126 () (tptp.hAPP tptp.nat @t651 @t1041 @t907)) % 55.33/55.55 (define @t1127 () (tptp.hAPP tptp.nat tptp.nat @t1126 @t793)) % 55.33/55.55 (define @t1128 () (tptp.hAPP tptp.nat tptp.nat @t1060 @t793)) % 55.33/55.55 (define @t1129 () (tptp.hAPP tptp.nat @t651 @t1041 @t564)) % 55.33/55.55 (define @t1130 () (tptp.hAPP tptp.nat @t651 @t1041 @t778)) % 55.33/55.55 (define @t1131 () (tptp.hAPP tptp.nat tptp.nat @t1130 @t777)) % 55.33/55.55 (define @t1132 () (tptp.hAPP tptp.nat @t148 @t913 @t564)) % 55.33/55.55 (define @t1133 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1132 @t1131))) % 55.33/55.55 (define @t1134 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1132 @t778))) % 55.33/55.55 (define @t1135 () (@list @t778 @t564 @t777)) % 55.33/55.55 (define @t1136 () (tptp.hAPP @t19 @t17 @t16 @t914)) % 55.33/55.55 (define @t1137 () (tptp.hAPP @t1 @t1 @t935 (tptp.hAPP @t11 @t1 @t1136 @t501))) % 55.33/55.55 (define @t1138 () (tptp.hAPP @t11 @t1 @t1136 @t223)) % 55.33/55.55 (define @t1139 () (tptp.hAPP @t11 @t1 @t1136 @t287)) % 55.33/55.55 (define @t1140 () (tptp.hAPP @t1 @t1 @t935 @t1138)) % 55.33/55.55 (define @t1141 () (=> @t277 (= @t1139 @t1140))) % 55.33/55.55 (define @t1142 () (tptp.hAPP @t11 @t1 @t1136 @t236)) % 55.33/55.55 (define @t1143 () (tptp.uminus_uminus @t1)) % 55.33/55.55 (define @t1144 () (tptp.hAPP @t18 @t60 @t397 @t1143)) % 55.33/55.55 (define @t1145 () (tptp.hAPP @t11 @t11 @t1144 @t658)) % 55.33/55.55 (define @t1146 () (not (= (tptp.ti @t11 @t658) @t242))) % 55.33/55.55 (define @t1147 () (@list @t658)) % 55.33/55.55 (define @t1148 () (tptp.linord219039673up_add @t1)) % 55.33/55.55 (define @t1149 () (tptp.uminus_uminus @t29)) % 55.33/55.55 (define @t1150 () (tptp.hAPP @t29 @t29 @t1149 @t564)) % 55.33/55.55 (define @t1151 () (tptp.boolean_algebra @t29)) % 55.33/55.55 (define @t1152 () (tptp.hAPP @t1 @t1 @t1143 @t296)) % 55.33/55.55 (define @t1153 () (tptp.hAPP @t1 @t1 @t1143 @t284)) % 55.33/55.55 (define @t1154 () (tptp.boolean_algebra @t1)) % 55.33/55.55 (define @t1155 () (tptp.hAPP @t29 @t29 @t1149 @t558)) % 55.33/55.55 (define @t1156 () (tptp.hAPP @t1 @t1 @t1143 @t224)) % 55.33/55.55 (define @t1157 () (tptp.hAPP @t1 @t1 @t1143 @t227)) % 55.33/55.55 (define @t1158 () (= @t229 @t1157)) % 55.33/55.55 (define @t1159 () (@list @t224 @t227)) % 55.33/55.55 (define @t1160 () (tptp.group_add @t1)) % 55.33/55.55 (define @t1161 () (tptp.uminus_uminus @t11)) % 55.33/55.55 (define @t1162 () (tptp.hAPP @t11 @t11 @t1161 @t223)) % 55.33/55.55 (define @t1163 () (tptp.hAPP @t11 @t11 @t1161 @t236)) % 55.33/55.55 (define @t1164 () (tptp.ab_group_add @t29)) % 55.33/55.55 (define @t1165 () (tptp.hAPP @t29 @t29 @t1149 @t568)) % 55.33/55.55 (define @t1166 () (tptp.hAPP @t1 @t11 @t837 @t1157)) % 55.33/55.55 (define @t1167 () (@list @t227 @t224)) % 55.33/55.55 (define @t1168 () (tptp.hAPP @t29 @t29 @t1149 @t778)) % 55.33/55.55 (define @t1169 () (tptp.hAPP @t29 @t157 @t800 @t1168)) % 55.33/55.55 (define @t1170 () (tptp.hAPP @t29 @t39 @t77 @t1155)) % 55.33/55.55 (define @t1171 () (tptp.hAPP @t29 @t29 @t1149 @t718)) % 55.33/55.55 (define @t1172 () (tptp.hAPP @t29 @t29 @t560 @t1165)) % 55.33/55.55 (define @t1173 () (tptp.hAPP @t29 @t29 @t1149 @t569)) % 55.33/55.55 (define @t1174 () (tptp.ring @t29)) % 55.33/55.55 (define @t1175 () (tptp.hAPP @t29 @t39 @t85 @t1155)) % 55.33/55.55 (define @t1176 () (tptp.hAPP @t29 @t29 @t1175 @t568)) % 55.33/55.55 (define @t1177 () (@list @t350 @t223)) % 55.33/55.55 (define @t1178 () (tptp.comm_ring_1 @t29)) % 55.33/55.55 (define @t1179 () (forall @t570 (= @t715 (tptp.hAPP @t29 @t29 @t717 @t1165)))) % 55.33/55.55 (define @t1180 () (tptp.hAPP @t1 @t11 @t146 @t284)) % 55.33/55.55 (define @t1181 () (tptp.hAPP @t1 @t18 @t133 @t284)) % 55.33/55.55 (define @t1182 () (tptp.hAPP @t1 @t1 @t1181 (tptp.hAPP @t11 @t1 @t24 @t501))) % 55.33/55.55 (define @t1183 () (tptp.hAPP @t11 @t1 @t24 @t287)) % 55.33/55.55 (define @t1184 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t276 @t1162))) % 55.33/55.55 (define @t1185 () (not @t515)) % 55.33/55.55 (define @t1186 () (@list @t1 @t189 @t223)) % 55.33/55.55 (define @t1187 () (tptp.ord_max @t29)) % 55.33/55.55 (define @t1188 () (tptp.hAPP @t29 @t39 @t1187 @t778)) % 55.33/55.55 (define @t1189 () (tptp.hAPP @t29 @t29 @t1188 @t777)) % 55.33/55.55 (define @t1190 () (@list @t778 @t777 @t564)) % 55.33/55.55 (define @t1191 () (tptp.hAPP @t29 @t29 @t1188 @t564)) % 55.33/55.55 (define @t1192 () (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t1187 @t941) @t946)) % 55.33/55.55 (define @t1193 () (tptp.hAPP @t29 @t29 @t937 @t1189)) % 55.33/55.55 (define @t1194 () (= @t1193 @t1192)) % 55.33/55.55 (define @t1195 () (tptp.hAPP @t29 @t39 @t1187 @t564)) % 55.33/55.55 (define @t1196 () (tptp.hAPP @t29 @t29 @t1195 @t777)) % 55.33/55.55 (define @t1197 () (tptp.hAPP @t29 @t29 @t1195 @t778)) % 55.33/55.55 (define @t1198 () (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t134 @t1197) @t1196)) % 55.33/55.55 (define @t1199 () (tptp.hAPP @t29 @t29 @t1195 @t939)) % 55.33/55.55 (define @t1200 () (= @t1199 @t1198)) % 55.33/55.55 (define @t1201 () (tptp.hAPP @t29 @t29 @t1195 @t1189)) % 55.33/55.55 (define @t1202 () (tptp.hAPP @t29 @t39 @t1187 @t568)) % 55.33/55.55 (define @t1203 () (tptp.hAPP @t29 @t39 @t1187 @t558)) % 55.33/55.55 (define @t1204 () (tptp.hAPP @t29 @t29 @t1203 (tptp.hAPP @t29 @t29 @t1202 @t722))) % 55.33/55.55 (define @t1205 () (tptp.hAPP @t29 @t29 @t1203 @t568)) % 55.33/55.55 (define @t1206 () (tptp.hAPP @t1 @t11 @t146 @t296)) % 55.33/55.55 (define @t1207 () (tptp.hAPP @t1 @t1 @t1181 @t296)) % 55.33/55.55 (define @t1208 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t801 @t1205))) % 55.33/55.55 (define @t1209 () (@list @t558 @t564 @t568)) % 55.33/55.55 (define @t1210 () (tptp.hAPP @t29 @t157 @t800 @t1205)) % 55.33/55.55 (define @t1211 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1210 @t564))) % 55.33/55.55 (define @t1212 () (tptp.hAPP @t1 @t11 @t837 @t388)) % 55.33/55.55 (define @t1213 () (@list @t388 @t284 @t296)) % 55.33/55.55 (define @t1214 () (tptp.linord219039673up_add @t29)) % 55.33/55.55 (define @t1215 () (tptp.hAPP @t1 @t1 @t1181 @t978)) % 55.33/55.55 (define @t1216 () (tptp.hAPP @t19 @t137 @t653 @t133)) % 55.33/55.55 (define @t1217 () (tptp.hAPP @t1 @t17 @t1216 @t227)) % 55.33/55.55 (define @t1218 () (tptp.hAPP @t11 @t1 @t1217 @t223)) % 55.33/55.55 (define @t1219 () (tptp.hAPP @t1 @t18 @t133 @t224)) % 55.33/55.55 (define @t1220 () (tptp.hAPP @t11 @t1 (tptp.hAPP @t19 @t17 @t58 @t133) @t223)) % 55.33/55.55 (define @t1221 () (=> @t277 (= @t1183 @t1215))) % 55.33/55.55 (define @t1222 () (tptp.hAPP @t11 @t1 (tptp.hAPP @t1 @t17 @t1216 @t284) @t223)) % 55.33/55.55 (define @t1223 () (tptp.hAPP @t11 @t1 (tptp.hAPP @t1 @t17 @t1216 @t224) @t223)) % 55.33/55.55 (define @t1224 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t133 @t270) @t330)) % 55.33/55.55 (define @t1225 () (forall @t429 (= (tptp.hAPP @t1 @t1 @t436 @t1224) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t133 @t539) @t538)))) % 55.33/55.55 (define @t1226 () (forall @t429 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t1 @t55 @t167 @t1224) @t427)))) % 55.33/55.55 (define @t1227 () (@var "Z_1" $$unsorted)) % 55.33/55.55 (define @t1228 () (tptp.hAPP @t29 @t39 @t134 @t270)) % 55.33/55.55 (define @t1229 () (@list @t270 @t330 @t1227)) % 55.33/55.55 (define @t1230 () (tptp.hAPP @t29 @t39 @t1187 @t270)) % 55.33/55.55 (define @t1231 () (tptp.hAPP @t19 @t17 @t23 @t133)) % 55.33/55.55 (define @t1232 () (tptp.hAPP @t11 @t1 @t1231 @t223)) % 55.33/55.55 (define @t1233 () (tptp.hAPP @t11 @t125 (tptp.hAPP @t154 @t340 @t339 (tptp.hAPP @t252 @t154 (tptp.hAPP (tptp.fun @t158 @t60) (tptp.fun @t252 @t154) (tptp.combb @t158 @t60 @t1) @t301) @t477)) @t305)) % 55.33/55.55 (define @t1234 () (tptp.fun @t18 @t11)) % 55.33/55.55 (define @t1235 () (tptp.fun @t1 @t1234)) % 55.33/55.55 (define @t1236 () (tptp.hAPP @t125 @t1235 (tptp.hAPP (tptp.fun @t11 @t1234) (tptp.fun @t125 @t1235) (tptp.combb @t11 @t1234 @t1) (tptp.combb @t1 tptp.bool @t1)) @t246)) % 55.33/55.55 (define @t1237 () (tptp.fun @t19 @t125)) % 55.33/55.55 (define @t1238 () (tptp.fun @t1 @t1237)) % 55.33/55.55 (define @t1239 () (tptp.hAPP @t1238 (tptp.fun @t19 @t144) (tptp.combc @t1 @t19 @t125) (tptp.hAPP @t1235 @t1238 (tptp.hAPP (tptp.fun @t1234 @t1237) (tptp.fun @t1235 @t1238) (tptp.combb @t1234 @t1237 @t1) (tptp.combb @t18 @t11 @t1)) @t1236))) % 55.33/55.55 (define @t1240 () (tptp.fun @t1 @t252)) % 55.33/55.55 (define @t1241 () (tptp.fun @t125 @t1240)) % 55.33/55.55 (define @t1242 () (tptp.hAPP @t253 @t1241 (tptp.combb @t11 @t252 @t1) @t254)) % 55.33/55.55 (define @t1243 () (tptp.fun @t1 @t1240)) % 55.33/55.55 (define @t1244 () (tptp.hAPP @t1241 (tptp.fun @t144 @t1243) (tptp.combb @t125 @t1240 @t1) @t1242)) % 55.33/55.55 (define @t1245 () (tptp.fun @t1240 @t154)) % 55.33/55.55 (define @t1246 () (tptp.fun @t252 @t60)) % 55.33/55.55 (define @t1247 () (tptp.hAPP @t1246 @t1245 (tptp.combb @t252 @t60 @t1) @t255)) % 55.33/55.55 (define @t1248 () (tptp.fun @t1 @t154)) % 55.33/55.55 (define @t1249 () (tptp.hAPP @t1245 (tptp.fun @t1243 @t1248) (tptp.combb @t1240 @t154 @t1) @t1247)) % 55.33/55.55 (define @t1250 () (tptp.fun @t125 @t125)) % 55.33/55.55 (define @t1251 () (tptp.fun @t1 @t1250)) % 55.33/55.55 (define @t1252 () (tptp.hAPP (tptp.fun @t154 @t1250) (tptp.fun @t1248 @t1251) (tptp.combb @t154 @t1250 @t1) (tptp.combs @t1 @t11 @t11))) % 55.33/55.55 (define @t1253 () (tptp.combc @t1 @t125 @t125)) % 55.33/55.55 (define @t1254 () (tptp.fun @t125 @t144)) % 55.33/55.55 (define @t1255 () (tptp.fEx @t1)) % 55.33/55.55 (define @t1256 () (tptp.hAPP @t55 @t344 @t343 @t1255)) % 55.33/55.55 (define @t1257 () (tptp.hAPP @t344 (tptp.fun @t144 @t125) (tptp.combb @t125 @t11 @t1) @t1256)) % 55.33/55.55 (define @t1258 () (tptp.hAPP @t1235 (tptp.fun @t18 @t125) (tptp.combc @t1 @t18 @t11) @t1236)) % 55.33/55.55 (define @t1259 () (tptp.hAPP @t55 (tptp.fun @t475 @t4) (tptp.combb @t11 tptp.bool @t2) @t1255)) % 55.33/55.55 (define @t1260 () (tptp.fun @t13 @t11)) % 55.33/55.55 (define @t1261 () (tptp.fun @t2 @t1260)) % 55.33/55.55 (define @t1262 () (tptp.fun @t2 @t252)) % 55.33/55.55 (define @t1263 () (tptp.fun @t2 @t60)) % 55.33/55.55 (define @t1264 () (tptp.hAPP @t11 @t1 @t1231 @t236)) % 55.33/55.55 (define @t1265 () (tptp.hAPP @t1 @t1 @t1181 @t1232)) % 55.33/55.55 (define @t1266 () (tptp.hAPP @t11 @t1 @t1231 @t287)) % 55.33/55.55 (define @t1267 () (=> @t277 (= @t1266 @t1265))) % 55.33/55.55 (define @t1268 () (tptp.hAPP @t1 @t18 @t701 @t793)) % 55.33/55.55 (define @t1269 () (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t125 @t11 @t1256 (tptp.hAPP @t11 @t125 (tptp.hAPP @t154 @t340 @t339 (tptp.hAPP @t1240 @t154 @t1247 (tptp.hAPP @t125 @t1240 @t1242 (tptp.hAPP @t18 @t125 @t1258 @t1268)))) (tptp.hAPP @t11 @t11 @t304 @t408))))) % 55.33/55.55 (define @t1270 () (@list @t793 @t408)) % 55.33/55.55 (define @t1271 () (tptp.linord2061991079up_add @t1)) % 55.33/55.55 (define @t1272 () (tptp.hAPP @t1 @t1 @t1181 (tptp.hAPP @t11 @t1 @t1231 @t501))) % 55.33/55.55 (define @t1273 () (@var "Q_2" $$unsorted)) % 55.33/55.55 (define @t1274 () (tptp.hBOOL @t1273)) % 55.33/55.55 (define @t1275 () (tptp.hAPP @t11 tptp.nat @t47 @t223)) % 55.33/55.55 (define @t1276 () (tptp.hAPP @t11 tptp.nat @t47 @t501)) % 55.33/55.55 (define @t1277 () (tptp.hAPP @t2 @t1 @t350 @t189)) % 55.33/55.55 (define @t1278 () (tptp.hAPP @t2 @t1 @t350 @t330)) % 55.33/55.55 (define @t1279 () (forall @t429 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t4 @t130 @t330) @t270)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t1278) @t387))))) % 55.33/55.55 (define @t1280 () (tptp.hAPP @t2 @t4 @t130 @t189)) % 55.33/55.55 (define @t1281 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t1280 @t227))) % 55.33/55.55 (define @t1282 () (tptp.hAPP @t2 @t1 @t350 @t227)) % 55.33/55.55 (define @t1283 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t1282) @t224))) % 55.33/55.55 (define @t1284 () (@list @t189 @t350 @t227 @t224)) % 55.33/55.55 (define @t1285 () (and @t145 @t132)) % 55.33/55.55 (define @t1286 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t993 @t270))) % 55.33/55.55 (define @t1287 () (@list @t189 @t224 @t350 @t227)) % 55.33/55.55 (define @t1288 () (tptp.finite_card tptp.nat)) % 55.33/55.55 (define @t1289 () (tptp.hAPP @t11 tptp.nat @t47 @t287)) % 55.33/55.55 (define @t1290 () (tptp.hAPP tptp.nat @t148 @t913 @t1275)) % 55.33/55.55 (define @t1291 () (tptp.hAPP @t11 tptp.nat @t47 @t236)) % 55.33/55.55 (define @t1292 () (tptp.finite_card @t2)) % 55.33/55.55 (define @t1293 () (tptp.hAPP tptp.nat @t651 @t650 @t1275)) % 55.33/55.55 (define @t1294 () (tptp.hAPP tptp.nat tptp.nat @t1293 @t1291)) % 55.33/55.55 (define @t1295 () (tptp.hAPP @t11 tptp.nat @t47 @t511)) % 55.33/55.55 (define @t1296 () (tptp.fun @t4 tptp.nat)) % 55.33/55.55 (define @t1297 () (tptp.hAPP @t1296 (tptp.fun @t473 @t646) (tptp.combb @t4 tptp.nat @t1) @t1292)) % 55.33/55.55 (define @t1298 () (tptp.hAPP @t2 @t11 @t674 @t270)) % 55.33/55.55 (define @t1299 () (tptp.big_co1399186613setsum @t2 tptp.nat)) % 55.33/55.55 (define @t1300 () (tptp.fun @t2 tptp.nat)) % 55.33/55.55 (define @t1301 () (@var "S_2" $$unsorted)) % 55.33/55.55 (define @t1302 () (tptp.one_one tptp.nat)) % 55.33/55.55 (define @t1303 () (=> @t291 (= @t1276 (tptp.hAPP tptp.nat tptp.nat @t1293 @t1302)))) % 55.33/55.55 (define @t1304 () (tptp.combk @t1 @t2)) % 55.33/55.55 (define @t1305 () (and (= @t1003 @t1302) (= @t907 @t1302))) % 55.33/55.55 (define @t1306 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1015 @t1003) @t907)) % 55.33/55.55 (define @t1307 () (tptp.one_one @t29)) % 55.33/55.55 (define @t1308 () (forall @t562 (= (tptp.hAPP @t29 @t29 @t560 @t1307) @t559))) % 55.33/55.55 (define @t1309 () (tptp.comm_monoid_mult @t29)) % 55.33/55.55 (define @t1310 () (tptp.monoid_mult @t29)) % 55.33/55.55 (define @t1311 () (forall @t562 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t85 @t1307) @t558) @t559))) % 55.33/55.55 (define @t1312 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t278 @t352))) % 55.33/55.55 (define @t1313 () (tptp.hAPP @t646 @t48 (tptp.big_co302546470etprod @t1 tptp.nat) @t350)) % 55.33/55.55 (define @t1314 () (= @t295 @t75)) % 55.33/55.55 (define @t1315 () (tptp.hAPP @t29 @t29 @t717 @t1307)) % 55.33/55.55 (define @t1316 () (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t85 @t1315) @t726)) % 55.33/55.55 (define @t1317 () (tptp.hAPP @t29 @t39 @t77 @t726)) % 55.33/55.55 (define @t1318 () (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t77 @t1307) @t1307)) % 55.33/55.55 (define @t1319 () (tptp.hAPP @t29 @t29 @t1149 @t1307)) % 55.33/55.55 (define @t1320 () (tptp.one_one @t2)) % 55.33/55.55 (define @t1321 () (= @t592 @t1320)) % 55.33/55.55 (define @t1322 () (@list @t360 @t223)) % 55.33/55.55 (define @t1323 () (tptp.fun @t1 @t639)) % 55.33/55.55 (define @t1324 () (tptp.hAPP (tptp.fun tptp.bool @t639) (tptp.fun @t11 @t1323) (tptp.combb tptp.bool @t639 @t1) (tptp.if @t2))) % 55.33/55.55 (define @t1325 () (tptp.combs @t1 @t2 @t50)) % 55.33/55.55 (define @t1326 () (tptp.combc @t1 @t2 @t2)) % 55.33/55.55 (define @t1327 () (tptp.fun @t2 @t13)) % 55.33/55.55 (define @t1328 () (tptp.hAPP @t11 @t2 (tptp.hAPP @t13 @t12 @t10 (tptp.hAPP @t2 @t13 (tptp.hAPP @t51 @t1327 @t1326 (tptp.hAPP @t13 @t51 (tptp.hAPP @t1323 @t638 @t1325 (tptp.hAPP @t11 @t1323 @t1324 @t247)) @t227)) @t1320)) @t658)) % 55.33/55.55 (define @t1329 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t225 @t658))) % 55.33/55.55 (define @t1330 () (not @t1329)) % 55.33/55.55 (define @t1331 () (tptp.hAPP @t1 @t2 @t227 @t224)) % 55.33/55.55 (define @t1332 () (@list @t227 @t224 @t658)) % 55.33/55.55 (define @t1333 () (tptp.hAPP @t51 @t1327 @t1326 (tptp.hAPP @t13 @t51 (tptp.hAPP @t1323 @t638 @t1325 (tptp.hAPP @t11 @t1323 @t1324 @t250)) @t227))) % 55.33/55.55 (define @t1334 () (tptp.hAPP @t11 @t2 (tptp.hAPP @t13 @t12 @t10 (tptp.hAPP @t2 @t13 @t1333 @t1320)) @t658)) % 55.33/55.55 (define @t1335 () (tptp.hAPP tptp.nat @t651 @t1041 @t1302)) % 55.33/55.55 (define @t1336 () (tptp.hAPP tptp.nat tptp.nat @t1335 @t1276)) % 55.33/55.55 (define @t1337 () (tptp.hAPP @t11 @t2 @t643 @t658)) % 55.33/55.55 (define @t1338 () (tptp.hAPP @t11 @t2 @t643 @t673)) % 55.33/55.55 (define @t1339 () (= @t400 @t1320)) % 55.33/55.55 (define @t1340 () (forall @t272 (=> (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t278 (tptp.hAPP @t11 @t11 (tptp.hAPP @t11 @t60 @t499 @t673) @t658))) @t1339))) % 55.33/55.55 (define @t1341 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 @t658) @t673))) % 55.33/55.55 (define @t1342 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 @t673))) % 55.33/55.55 (define @t1343 () (@list @t350 @t658 @t673)) % 55.33/55.55 (define @t1344 () (tptp.semiring_1_of_nat @t1)) % 55.33/55.55 (define @t1345 () (tptp.hAPP tptp.nat @t1 @t1344 @t907)) % 55.33/55.55 (define @t1346 () (tptp.hAPP @t1 @t18 @t82 @t1345)) % 55.33/55.55 (define @t1347 () (tptp.combb @t1 @t18 tptp.nat)) % 55.33/55.55 (define @t1348 () (tptp.fun tptp.nat @t18)) % 55.33/55.55 (define @t1349 () (tptp.fun @t139 @t1348)) % 55.33/55.55 (define @t1350 () (tptp.fun @t139 @t139)) % 55.33/55.55 (define @t1351 () (tptp.big_co1399186613setsum tptp.nat @t1)) % 55.33/55.55 (define @t1352 () (tptp.fun @t148 @t1)) % 55.33/55.55 (define @t1353 () (tptp.hAPP @t1 @t18 @t82 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t701 @t75) @t75))) % 55.33/55.55 (define @t1354 () (tptp.comm_semiring_1 @t1)) % 55.33/55.55 (define @t1355 () (@var "Y2" $$unsorted)) % 55.33/55.55 (define @t1356 () (@var "X2" $$unsorted)) % 55.33/55.55 (define @t1357 () (@var "Y1" $$unsorted)) % 55.33/55.55 (define @t1358 () (tptp.hAPP tptp.nat @t1 @t1344 @t1003)) % 55.33/55.55 (define @t1359 () (tptp.linordered_semidom @t1)) % 55.33/55.55 (define @t1360 () (tptp.hAPP tptp.nat @t29 @t116 @t1032)) % 55.33/55.55 (define @t1361 () (tptp.hAPP tptp.nat @t29 @t116 @t726)) % 55.33/55.55 (define @t1362 () (tptp.ring_1 @t29)) % 55.33/55.55 (define @t1363 () (@list @t296 @t223)) % 55.33/55.55 (define @t1364 () (tptp.semiring_1 @t1)) % 55.33/55.55 (define @t1365 () (tptp.hAPP @t1300 @t6 (tptp.hAPP @t139 (tptp.fun @t1300 @t6) (tptp.combb tptp.nat @t1 @t2) @t1344) @t350)) % 55.33/55.55 (define @t1366 () (tptp.semiring_1_of_nat tptp.int)) % 55.33/55.55 (define @t1367 () (tptp.hAPP tptp.nat tptp.int @t1366 @t1065)) % 55.33/55.55 (define @t1368 () (tptp.plus_plus tptp.int)) % 55.33/55.55 (define @t1369 () (tptp.fun tptp.int tptp.int)) % 55.33/55.55 (define @t1370 () (tptp.hAPP tptp.nat tptp.int @t1366 @t1032)) % 55.33/55.55 (define @t1371 () (tptp.hAPP tptp.nat tptp.int @t1366 @t726)) % 55.33/55.55 (define @t1372 () (tptp.hAPP tptp.int @t1369 @t1368 @t1371)) % 55.33/55.55 (define @t1373 () (tptp.hAPP tptp.nat tptp.int @t1366 @t907)) % 55.33/55.55 (define @t1374 () (tptp.hAPP tptp.nat tptp.int @t1366 @t1003)) % 55.33/55.55 (define @t1375 () (tptp.ord_less_eq tptp.int)) % 55.33/55.55 (define @t1376 () (tptp.fun tptp.int tptp.bool)) % 55.33/55.55 (define @t1377 () (tptp.hAPP tptp.nat tptp.int @t1366 @t1125)) % 55.33/55.55 (define @t1378 () (tptp.times_times tptp.int)) % 55.33/55.55 (define @t1379 () (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1378 @t1371) @t1370)) % 55.33/55.55 (define @t1380 () (tptp.one_one tptp.int)) % 55.33/55.55 (define @t1381 () (tptp.hAPP tptp.nat tptp.int @t1366 @t1302)) % 55.33/55.55 (define @t1382 () (tptp.fun @t1 tptp.int)) % 55.33/55.55 (define @t1383 () (tptp.fun tptp.nat tptp.int)) % 55.33/55.55 (define @t1384 () (tptp.hAPP @t646 @t1382 (tptp.hAPP @t1383 (tptp.fun @t646 @t1382) (tptp.combb tptp.nat tptp.int @t1) @t1366) @t350)) % 55.33/55.55 (define @t1385 () (tptp.fun @t11 tptp.int)) % 55.33/55.55 (define @t1386 () (tptp.minus_minus tptp.int)) % 55.33/55.55 (define @t1387 () (tptp.ord_atLeastAtMost tptp.nat)) % 55.33/55.55 (define @t1388 () (@list @t907)) % 55.33/55.55 (define @t1389 () (tptp.hAPP @t11 tptp.nat @t47 @t658)) % 55.33/55.55 (define @t1390 () (tptp.power_power @t2)) % 55.33/55.55 (define @t1391 () (tptp.fun tptp.nat @t2)) % 55.33/55.55 (define @t1392 () (tptp.hAPP @t2 @t1391 @t1390 @t189)) % 55.33/55.55 (define @t1393 () (tptp.hAPP @t11 @t2 (tptp.hAPP @t13 @t12 @t10 (tptp.hAPP @t2 @t13 @t1333 @t189)) @t658)) % 55.33/55.55 (define @t1394 () (tptp.ord_less tptp.nat)) % 55.33/55.55 (define @t1395 () (tptp.uminus_uminus tptp.int)) % 55.33/55.55 (define @t1396 () (@var "L" $$unsorted)) % 55.33/55.55 (define @t1397 () (@list @t1396 @t995)) % 55.33/55.55 (define @t1398 () (tptp.hAPP @t149 @t149 @t925 @t1394)) % 55.33/55.55 (define @t1399 () (tptp.hAPP tptp.nat tptp.int @t1366 @t996)) % 55.33/55.55 (define @t1400 () (tptp.hAPP tptp.int @t1369 @t1368 @t719)) % 55.33/55.55 (define @t1401 () (tptp.hAPP tptp.int @t1376 @t1375 @t719)) % 55.33/55.55 (define @t1402 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1401 @t388))) % 55.33/55.55 (define @t1403 () (@list @t719 @t388)) % 55.33/55.55 (define @t1404 () (tptp.power_power tptp.int)) % 55.33/55.55 (define @t1405 () (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int @t1383 @t1404 @t1371) @t1032)) % 55.33/55.55 (define @t1406 () (tptp.power_power tptp.nat)) % 55.33/55.55 (define @t1407 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1406 @t726) @t1032)) % 55.33/55.55 (define @t1408 () (tptp.hAPP tptp.nat tptp.int @t1366 @t1407)) % 55.33/55.55 (define @t1409 () (@var "W_2" $$unsorted)) % 55.33/55.55 (define @t1410 () (tptp.hAPP tptp.int @t1369 @t1378 @t777)) % 55.33/55.55 (define @t1411 () (tptp.hAPP tptp.int tptp.int @t1410 @t1409)) % 55.33/55.55 (define @t1412 () (tptp.hAPP tptp.int tptp.int @t1395 @t777)) % 55.33/55.55 (define @t1413 () (@list @t777 @t1409)) % 55.33/55.55 (define @t1414 () (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1386 @t777) @t1409)) % 55.33/55.55 (define @t1415 () (tptp.hAPP tptp.int tptp.int @t1395 @t1409)) % 55.33/55.55 (define @t1416 () (tptp.hAPP tptp.int @t1369 @t1368 @t777)) % 55.33/55.55 (define @t1417 () (tptp.hAPP tptp.int tptp.int @t1416 @t1415)) % 55.33/55.55 (define @t1418 () (tptp.hAPP tptp.int tptp.int @t1416 @t1409)) % 55.33/55.55 (define @t1419 () (tptp.hAPP tptp.int @t1376 @t1375 @t1409)) % 55.33/55.55 (define @t1420 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1419 @t777))) % 55.33/55.55 (define @t1421 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1375 @t777) @t1409))) % 55.33/55.55 (define @t1422 () (tptp.hAPP tptp.int @t1376 @t1375 @t1018)) % 55.33/55.55 (define @t1423 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1422 @t1014))) % 55.33/55.55 (define @t1424 () (@var "Z3" $$unsorted)) % 55.33/55.55 (define @t1425 () (@var "Z2" $$unsorted)) % 55.33/55.55 (define @t1426 () (tptp.hAPP tptp.int @t1369 @t1378 @t1425)) % 55.33/55.55 (define @t1427 () (@var "Z1" $$unsorted)) % 55.33/55.55 (define @t1428 () (tptp.hAPP tptp.int @t1369 @t1378 @t1427)) % 55.33/55.55 (define @t1429 () (@list @t1427 @t1425 @t1424)) % 55.33/55.55 (define @t1430 () (tptp.hAPP tptp.int @t1383 @t1404 @t564)) % 55.33/55.55 (define @t1431 () (tptp.hAPP tptp.nat tptp.int @t1430 @t778)) % 55.33/55.55 (define @t1432 () (tptp.hAPP tptp.int @t1369 @t1378 @t1409)) % 55.33/55.55 (define @t1433 () (tptp.hAPP tptp.int tptp.int @t1426 @t1409)) % 55.33/55.55 (define @t1434 () (tptp.hAPP tptp.int tptp.int @t1428 @t1409)) % 55.33/55.55 (define @t1435 () (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1386 @t1427) @t1425)) % 55.33/55.55 (define @t1436 () (@list @t1427 @t1425 @t1409)) % 55.33/55.55 (define @t1437 () (tptp.hAPP tptp.int tptp.int @t1432 @t1425)) % 55.33/55.55 (define @t1438 () (tptp.hAPP tptp.int tptp.int @t1432 @t1427)) % 55.33/55.55 (define @t1439 () (@list @t1409 @t1427 @t1425)) % 55.33/55.55 (define @t1440 () (tptp.hAPP tptp.int @t1369 @t1368 @t1427)) % 55.33/55.55 (define @t1441 () (tptp.hAPP tptp.int tptp.int @t1440 @t1425)) % 55.33/55.55 (define @t1442 () (tptp.hAPP tptp.int @t1369 @t1368 @t564)) % 55.33/55.55 (define @t1443 () (tptp.hAPP tptp.int @t1369 @t1368 @t778)) % 55.33/55.55 (define @t1444 () (tptp.hAPP tptp.int @t1369 @t1368 @t1409)) % 55.33/55.55 (define @t1445 () (tptp.hAPP tptp.int tptp.int @t1444 @t777)) % 55.33/55.55 (define @t1446 () (tptp.hAPP tptp.int @t1369 @t1368 @t1017)) % 55.33/55.55 (define @t1447 () (@list @t777)) % 55.33/55.55 (define @t1448 () (tptp.power_power @t29)) % 55.33/55.55 (define @t1449 () (tptp.hAPP @t29 @t117 @t1448 @t564)) % 55.33/55.55 (define @t1450 () (tptp.hAPP @t1 @t11 @t129 @t296)) % 55.33/55.55 (define @t1451 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1450 @t388))) % 55.33/55.55 (define @t1452 () (tptp.hAPP @t1 @t11 @t129 @t284)) % 55.33/55.55 (define @t1453 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1452 @t388))) % 55.33/55.55 (define @t1454 () (tptp.hAPP @t1 @t11 @t129 @t388)) % 55.33/55.55 (define @t1455 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1454 @t296))) % 55.33/55.55 (define @t1456 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1454 @t284))) % 55.33/55.55 (define @t1457 () (tptp.ord_less @t29)) % 55.33/55.55 (define @t1458 () (tptp.hAPP @t29 @t157 @t1457 @t564)) % 55.33/55.55 (define @t1459 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1458 @t1205))) % 55.33/55.55 (define @t1460 () (tptp.hAPP @t148 @t148 @t926 (tptp.hAPP tptp.nat @t148 @t1398 @t907))) % 55.33/55.55 (define @t1461 () (tptp.image tptp.nat @t1)) % 55.33/55.55 (define @t1462 () (tptp.fun @t148 @t11)) % 55.33/55.55 (define @t1463 () (tptp.hAPP tptp.nat @t148 @t1394 @t1018)) % 55.33/55.55 (define @t1464 () (tptp.hAPP tptp.nat @t148 @t1394 @t1101)) % 55.33/55.55 (define @t1465 () (tptp.hAPP tptp.nat @t148 @t1394 @t726)) % 55.33/55.55 (define @t1466 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1465 @t1032))) % 55.33/55.55 (define @t1467 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t1017) @t1013))) % 55.33/55.55 (define @t1468 () (tptp.hAPP tptp.nat @t148 @t1394 @t1049)) % 55.33/55.55 (define @t1469 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1463 @t1014))) % 55.33/55.55 (define @t1470 () (tptp.hAPP tptp.nat @t148 @t1394 @t1003)) % 55.33/55.55 (define @t1471 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1470 @t907))) % 55.33/55.55 (define @t1472 () (@var "Q_1" $$unsorted)) % 55.33/55.55 (define @t1473 () (@var "P_2" $$unsorted)) % 55.33/55.55 (define @t1474 () (tptp.hAPP tptp.nat @t29 @t1449 @t1473)) % 55.33/55.55 (define @t1475 () (@list @t564 @t1473 @t1472)) % 55.33/55.55 (define @t1476 () (tptp.hAPP @t29 @t157 @t1457 @t558)) % 55.33/55.55 (define @t1477 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1476 @t568))) % 55.33/55.55 (define @t1478 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t1457 @t733) @t858))) % 55.33/55.55 (define @t1479 () (tptp.hAPP @t29 @t157 @t1457 @t736)) % 55.33/55.55 (define @t1480 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1479 @t752))) % 55.33/55.55 (define @t1481 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1479 @t740))) % 55.33/55.55 (define @t1482 () (tptp.hAPP @t29 @t157 @t1457 @t722)) % 55.33/55.55 (define @t1483 () (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1482 @t739)) @t1481)) % 55.33/55.55 (define @t1484 () (tptp.ordere223160158up_add @t29)) % 55.33/55.55 (define @t1485 () (tptp.hAPP @t1 @t11 @t129 @t224)) % 55.33/55.55 (define @t1486 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1485 @t227))) % 55.33/55.55 (define @t1487 () (tptp.hAPP tptp.nat @t29 @t1449 @t1472)) % 55.33/55.55 (define @t1488 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t1457 @t945) @t564))) % 55.33/55.55 (define @t1489 () (tptp.hAPP @t29 @t157 @t1457 @t568)) % 55.33/55.55 (define @t1490 () (not @t1111)) % 55.33/55.55 (define @t1491 () (not @t1038)) % 55.33/55.55 (define @t1492 () (tptp.hAPP @t1 @t55 @t167 @t1090)) % 55.33/55.55 (define @t1493 () (@list @t1090 @t793)) % 55.33/55.55 (define @t1494 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1452 @t296))) % 55.33/55.55 (define @t1495 () (not @t1494)) % 55.33/55.55 (define @t1496 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1450 @t284))) % 55.33/55.55 (define @t1497 () (tptp.hAPP @t29 @t157 @t1457 @t778)) % 55.33/55.55 (define @t1498 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1497 @t564))) % 55.33/55.55 (define @t1499 () (not @t836)) % 55.33/55.55 (define @t1500 () (tptp.preorder @t1)) % 55.33/55.55 (define @t1501 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1458 @t778))) % 55.33/55.55 (define @t1502 () (not @t1501)) % 55.33/55.55 (define @t1503 () (not @t834)) % 55.33/55.55 (define @t1504 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1489 @t558))) % 55.33/55.55 (define @t1505 () (= @t1495 @t836)) % 55.33/55.55 (define @t1506 () (@list @t568 @t558)) % 55.33/55.55 (define @t1507 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1458 @t777))) % 55.33/55.55 (define @t1508 () (tptp.hAPP @t29 @t157 @t1457 @t777)) % 55.33/55.55 (define @t1509 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1508 @t564))) % 55.33/55.55 (define @t1510 () (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1497 @t777)) @t1507)) % 55.33/55.55 (define @t1511 () (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1508 @t778)) @t1509)) % 55.33/55.55 (define @t1512 () (tptp.hAPP @t1 @t11 @t129 @t189)) % 55.33/55.55 (define @t1513 () (not @t820)) % 55.33/55.55 (define @t1514 () (forall @t809 (=> @t1513 (=> @t1502 @t1498)))) % 55.33/55.55 (define @t1515 () (tptp.linordered_idom @t29)) % 55.33/55.55 (define @t1516 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1482 @t558))) % 55.33/55.55 (define @t1517 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1476 @t722))) % 55.33/55.55 (define @t1518 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1489 @t722))) % 55.33/55.55 (define @t1519 () (tptp.hAPP @t1 @t125 @t143 @t224)) % 55.33/55.55 (define @t1520 () (tptp.hAPP @t1 @t11 @t1519 @t227)) % 55.33/55.55 (define @t1521 () (= @t1520 @t242)) % 55.33/55.55 (define @t1522 () (tptp.hAPP @t1 @t11 @t129 @t227)) % 55.33/55.55 (define @t1523 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1522 @t224))) % 55.33/55.55 (define @t1524 () (tptp.ord_less @t11)) % 55.33/55.55 (define @t1525 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t990 @t318))) % 55.33/55.55 (define @t1526 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t878 @t224))) % 55.33/55.55 (define @t1527 () (not @t868)) % 55.33/55.55 (define @t1528 () (tptp.hAPP @t1 @t11 (tptp.hAPP @t1 @t125 @t143 @t189) @t318)) % 55.33/55.55 (define @t1529 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t191 @t907) @t1003))) % 55.33/55.55 (define @t1530 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t907) @t1003))) % 55.33/55.55 (define @t1531 () (@list @t191 @t1003 @t907)) % 55.33/55.55 (define @t1532 () (@var "T_3" $$unsorted)) % 55.33/55.55 (define @t1533 () (@var "S" $$unsorted)) % 55.33/55.55 (define @t1534 () (tptp.hAPP tptp.nat @t148 @t1394 @t1032)) % 55.33/55.55 (define @t1535 () (tptp.hAPP tptp.nat @t148 @t1394 @t564)) % 55.33/55.55 (define @t1536 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1535 @t778))) % 55.33/55.55 (define @t1537 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1535 @t1131))) % 55.33/55.55 (define @t1538 () (tptp.hAPP @t910 @t910 (tptp.combc tptp.nat tptp.nat tptp.nat) @t1041)) % 55.33/55.55 (define @t1539 () (tptp.hAPP tptp.nat @t651 @t1538 @t793)) % 55.33/55.55 (define @t1540 () (tptp.fun @t148 @t148)) % 55.33/55.55 (define @t1541 () (tptp.hAPP tptp.nat @t148 @t1394 @t270)) % 55.33/55.55 (define @t1542 () (tptp.hAPP @t1 @t11 @t129 @t1157)) % 55.33/55.55 (define @t1543 () (tptp.fun tptp.nat @t158)) % 55.33/55.55 (define @t1544 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t1457 @t1361) @t1360))) % 55.33/55.55 (define @t1545 () (tptp.linordered_semidom @t29)) % 55.33/55.55 (define @t1546 () (tptp.hAPP @t29 @t157 @t1457 @t1307)) % 55.33/55.55 (define @t1547 () (tptp.hAPP tptp.nat @t149 @t1387 @t1003)) % 55.33/55.55 (define @t1548 () (tptp.hAPP tptp.nat @t148 @t1547 @t907)) % 55.33/55.55 (define @t1549 () (tptp.hAPP @t139 (tptp.fun @t651 @t139) (tptp.combb tptp.nat @t1 tptp.nat) @t350)) % 55.33/55.55 (define @t1550 () (tptp.hAPP @t139 @t1352 @t1351 @t350)) % 55.33/55.55 (define @t1551 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t707) @t705))) % 55.33/55.55 (define @t1552 () (tptp.hAPP @t1 @t11 @t129 @t270)) % 55.33/55.55 (define @t1553 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t1114) @t1113))) % 55.33/55.55 (define @t1554 () (@var "P_1" $$unsorted)) % 55.33/55.55 (define @t1555 () (tptp.hAPP tptp.nat tptp.nat @t1126 @t1554)) % 55.33/55.55 (define @t1556 () (tptp.hAPP tptp.nat tptp.nat @t1126 @t1302)) % 55.33/55.55 (define @t1557 () (tptp.hAPP @t29 @t117 @t1448 @t558)) % 55.33/55.55 (define @t1558 () (tptp.hAPP tptp.nat @t29 @t1557 @t1032)) % 55.33/55.55 (define @t1559 () (tptp.hAPP tptp.nat @t29 @t1557 @t726)) % 55.33/55.55 (define @t1560 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1546 @t558))) % 55.33/55.55 (define @t1561 () (@list @t726 @t1032 @t558)) % 55.33/55.55 (define @t1562 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 @t284) @t296))) % 55.33/55.55 (define @t1563 () (tptp.hAPP @t1 @t139 @t142 @t227)) % 55.33/55.55 (define @t1564 () (tptp.hAPP tptp.nat @t1 @t1563 @t296)) % 55.33/55.55 (define @t1565 () (tptp.hAPP tptp.nat @t1 @t1563 @t284)) % 55.33/55.55 (define @t1566 () (tptp.hAPP @t1 @t11 @t129 @t75)) % 55.33/55.55 (define @t1567 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1566 @t227))) % 55.33/55.55 (define @t1568 () (@list @t284 @t296 @t227)) % 55.33/55.55 (define @t1569 () (tptp.ord_less @t2)) % 55.33/55.55 (define @t1570 () (tptp.hAPP @t2 @t4 @t1569 @t400)) % 55.33/55.55 (define @t1571 () (tptp.ord_less tptp.int)) % 55.33/55.55 (define @t1572 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1571 @t1018) @t1014))) % 55.33/55.55 (define @t1573 () (tptp.hAPP @t11 @t55 @t1524 @t223)) % 55.33/55.55 (define @t1574 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t1573 @t236))) % 55.33/55.55 (define @t1575 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t1573 @t190))) % 55.33/55.55 (define @t1576 () (=> (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t1524 @t236) @t190)) @t1575)) % 55.33/55.55 (define @t1577 () (@var "Z_3" $$unsorted)) % 55.33/55.55 (define @t1578 () (@var "W_3" $$unsorted)) % 55.33/55.55 (define @t1579 () (tptp.hAPP tptp.int @t1376 @t1571 @t719)) % 55.33/55.55 (define @t1580 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1579 @t388))) % 55.33/55.55 (define @t1581 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1579 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1368 @t388) @t1380)))) % 55.33/55.55 (define @t1582 () (tptp.ord_atLeastAtMost tptp.int)) % 55.33/55.55 (define @t1583 () (tptp.fun tptp.int @t1376)) % 55.33/55.55 (define @t1584 () (tptp.hAPP tptp.int @t1583 @t1582 @t1003)) % 55.33/55.55 (define @t1585 () (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1368 @t1380) @t907)) % 55.33/55.55 (define @t1586 () (tptp.insert tptp.int)) % 55.33/55.55 (define @t1587 () (tptp.fun @t1376 @t1376)) % 55.33/55.55 (define @t1588 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t1275) @t1291))) % 55.33/55.55 (define @t1589 () (tptp.hAPP tptp.nat @t29 (tptp.hAPP @t29 @t117 @t1448 @t568) @t1032)) % 55.33/55.55 (define @t1590 () (tptp.hAPP @t29 @t39 @t85 @t1558)) % 55.33/55.55 (define @t1591 () (tptp.hAPP @t29 @t29 @t560 @t1558)) % 55.33/55.55 (define @t1592 () (@list @t558 @t1032)) % 55.33/55.55 (define @t1593 () (@list @t558 @t726 @t1032)) % 55.33/55.55 (define @t1594 () (tptp.hAPP @t29 @t157 @t800 @t1307)) % 55.33/55.55 (define @t1595 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1594 @t558))) % 55.33/55.55 (define @t1596 () (@list @t1032 @t558)) % 55.33/55.55 (define @t1597 () (tptp.hAPP @t1 @t139 @t142 @t224)) % 55.33/55.55 (define @t1598 () (tptp.hAPP @t29 @t157 @t1457 @t1558)) % 55.33/55.55 (define @t1599 () (@var "N_4" $$unsorted)) % 55.33/55.55 (define @t1600 () (tptp.hAPP tptp.nat @t29 @t1557 @t1599)) % 55.33/55.55 (define @t1601 () (@list @t558 @t1032 @t1599)) % 55.33/55.55 (define @t1602 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t284) @t296))) % 55.33/55.55 (define @t1603 () (@var "F_1" $$unsorted)) % 55.33/55.55 (define @t1604 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t191 @t1090))) % 55.33/55.55 (define @t1605 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t191 @t900))) % 55.33/55.55 (define @t1606 () (=> @t1605 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t191 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1386 @t900) @t1380))))) % 55.33/55.55 (define @t1607 () (=> (forall @t903 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1375 @t900) @t793)) @t1606)) @t1604)) % 55.33/55.55 (define @t1608 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t191 @t793))) % 55.33/55.55 (define @t1609 () (@list @t191 @t1090 @t793)) % 55.33/55.55 (define @t1610 () (tptp.finite_finite_1 tptp.int)) % 55.33/55.55 (define @t1611 () (tptp.hAPP tptp.int @t1376 (tptp.hAPP tptp.int @t1583 @t1582 @t1090) @t1092)) % 55.33/55.55 (define @t1612 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1571 @t1092) @t1090))) % 55.33/55.55 (define @t1613 () (tptp.bot_bot @t1376)) % 55.33/55.55 (define @t1614 () (tptp.hAPP tptp.int @t1369 @t1386 @t793)) % 55.33/55.55 (define @t1615 () (tptp.hAPP @t1383 (tptp.fun @t148 @t1376) (tptp.image tptp.nat tptp.int) @t1366)) % 55.33/55.55 (define @t1616 () (tptp.hAPP @t148 @t1376 @t1615 @t223)) % 55.33/55.55 (define @t1617 () (tptp.hAPP @t148 @t1376 @t1615 @t236)) % 55.33/55.55 (define @t1618 () (tptp.fun @t1376 tptp.bool)) % 55.33/55.55 (define @t1619 () (@list @t223 @t236)) % 55.33/55.55 (define @t1620 () (tptp.hAPP tptp.nat tptp.int @t1366 @t284)) % 55.33/55.55 (define @t1621 () (tptp.hAPP tptp.nat tptp.int @t1366 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 (tptp.hAPP tptp.bool @t910 (tptp.if tptp.nat) @t191) @t284) @t296))) % 55.33/55.55 (define @t1622 () (tptp.hAPP tptp.nat tptp.int @t1366 @t296)) % 55.33/55.55 (define @t1623 () (tptp.hAPP tptp.nat tptp.int @t1366 @t778)) % 55.33/55.55 (define @t1624 () (tptp.hAPP tptp.nat tptp.int @t1366 @t564)) % 55.33/55.55 (define @t1625 () (=> @t1605 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t191 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1368 @t900) @t1380))))) % 55.33/55.55 (define @t1626 () (tptp.hAPP tptp.int @t1376 @t1571 @t793)) % 55.33/55.55 (define @t1627 () (@list @t191 @t793 @t1090)) % 55.33/55.55 (define @t1628 () (tptp.hAPP tptp.int @t1376 @t1375 @t793)) % 55.33/55.55 (define @t1629 () (forall @t903 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1628 @t900)) @t1625))) % 55.33/55.55 (define @t1630 () (@list @t927 @t996)) % 55.33/55.55 (define @t1631 () (@var "B_1" $$unsorted)) % 55.33/55.55 (define @t1632 () (@var "J_2" $$unsorted)) % 55.33/55.55 (define @t1633 () (tptp.hAPP @t29 @t157 @t800 @t270)) % 55.33/55.55 (define @t1634 () (tptp.hAPP @t29 @t157 @t1457 @t270)) % 55.33/55.55 (define @t1635 () (tptp.dense_linorder @t29)) % 55.33/55.55 (define @t1636 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t800 @t1532) @t270))) % 55.33/55.55 (define @t1637 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1634 @t1227))) % 55.33/55.55 (define @t1638 () (@list @t1227)) % 55.33/55.55 (define @t1639 () (@list @t1532)) % 55.33/55.55 (define @t1640 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t1457 @t1227) @t270))) % 55.33/55.55 (define @t1641 () (@var "W" $$unsorted)) % 55.33/55.55 (define @t1642 () (tptp.hAPP @t2 @t4 @t1569 @t189)) % 55.33/55.55 (define @t1643 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t1642 @t580))) % 55.33/55.55 (define @t1644 () (tptp.hAPP @t1 @t2 @t350 @t330)) % 55.33/55.55 (define @t1645 () (tptp.hAPP @t1 @t2 @t350 @t227)) % 55.33/55.55 (define @t1646 () (tptp.order @t2)) % 55.33/55.55 (define @t1647 () (and @t145 @t1646)) % 55.33/55.55 (define @t1648 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1633 @t1532))) % 55.33/55.55 (define @t1649 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t4 @t1569 @t580) @t189))) % 55.33/55.55 (define @t1650 () (@list @t350 @t189 @t224 @t227)) % 55.33/55.55 (define @t1651 () (and @t1646 @t145)) % 55.33/55.55 (define @t1652 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t1277) @t224))) % 55.33/55.55 (define @t1653 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1485 @t1277))) % 55.33/55.55 (define @t1654 () (=> @t542 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t191 (tptp.hAPP @t11 @t11 (tptp.hAPP @t1 @t60 @t153 @t1631) @t451))))) % 55.33/55.55 (define @t1655 () (@list @t1631 @t451)) % 55.33/55.55 (define @t1656 () (@list @t191 @t223)) % 55.33/55.55 (define @t1657 () (tptp.hAPP @t148 @t1 (tptp.hAPP @t139 @t1352 @t1351 (tptp.hAPP @t139 @t139 (tptp.hAPP @t1348 @t1350 (tptp.combs tptp.nat @t1 @t1) (tptp.hAPP @t139 @t1348 (tptp.hAPP @t19 @t1349 @t1347 @t73) @t350)) (tptp.hAPP @t651 @t139 @t1549 (tptp.hAPP tptp.nat @t651 @t1538 @t1302)))) @t1548)) % 55.33/55.55 (define @t1658 () (tptp.hAPP @t139 @t1352 @t1351 @t191)) % 55.33/55.55 (define @t1659 () (tptp.zero_zero tptp.nat)) % 55.33/55.55 (define @t1660 () (tptp.hAPP @t29 @t157 @t800 @t91)) % 55.33/55.55 (define @t1661 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1660 @t568))) % 55.33/55.55 (define @t1662 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1598 @t1589))) % 55.33/55.55 (define @t1663 () (@list @t558 @t1032 @t568)) % 55.33/55.55 (define @t1664 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t806 @t1307))) % 55.33/55.55 (define @t1665 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1660 @t778))) % 55.33/55.55 (define @t1666 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1660 @t564))) % 55.33/55.55 (define @t1667 () (tptp.hAPP @t29 @t157 @t1457 @t91)) % 55.33/55.55 (define @t1668 () (@var "One" $$unsorted)) % 55.33/55.55 (define @t1669 () (@var "Times" $$unsorted)) % 55.33/55.55 (define @t1670 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1667 @t718))) % 55.33/55.55 (define @t1671 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1667 @t558))) % 55.33/55.55 (define @t1672 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1667 @t568))) % 55.33/55.55 (define @t1673 () (=> @t1672 @t1670)) % 55.33/55.55 (define @t1674 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1660 @t558))) % 55.33/55.55 (define @t1675 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1489 @t736))) % 55.33/55.55 (define @t1676 () (@list @t568 @t722 @t558)) % 55.33/55.55 (define @t1677 () (=> @t1518 @t1675)) % 55.33/55.55 (define @t1678 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t1457 @t718) @t91))) % 55.33/55.55 (define @t1679 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1476 @t91))) % 55.33/55.55 (define @t1680 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1489 @t91))) % 55.33/55.55 (define @t1681 () (=> @t1680 @t1678)) % 55.33/55.55 (define @t1682 () (tptp.zero_zero tptp.int)) % 55.33/55.55 (define @t1683 () (tptp.hAPP tptp.int @t1376 @t1375 @t1682)) % 55.33/55.55 (define @t1684 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1683 @t564))) % 55.33/55.55 (define @t1685 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t191 (tptp.hAPP tptp.nat tptp.int @t1366 @t270)))) % 55.33/55.55 (define @t1686 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t191 @t270))) % 55.33/55.55 (define @t1687 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1683 @t270))) % 55.33/55.55 (define @t1688 () (@list @t191)) % 55.33/55.55 (define @t1689 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1683 @t778))) % 55.33/55.55 (define @t1690 () (tptp.hAPP tptp.nat @t148 @t1394 @t1659)) % 55.33/55.55 (define @t1691 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1690 @t907))) % 55.33/55.55 (define @t1692 () (tptp.hAPP tptp.int @t1376 @t1571 @t1682)) % 55.33/55.55 (define @t1693 () (tptp.hAPP tptp.int @t1369 @t1378 @t1017)) % 55.33/55.55 (define @t1694 () (= @t907 @t1659)) % 55.33/55.55 (define @t1695 () (tptp.hAPP tptp.nat @t651 @t1406 @t1018)) % 55.33/55.55 (define @t1696 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1690 @t1032))) % 55.33/55.55 (define @t1697 () (not (= @t1032 @t1659))) % 55.33/55.55 (define @t1698 () (tptp.hAPP @t1 @t11 @t129 @t93)) % 55.33/55.55 (define @t1699 () (tptp.hAPP @t1 @t1 @t748 @t224)) % 55.33/55.55 (define @t1700 () (forall @t877 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t1699) @t93)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1485 @t93))))) % 55.33/55.55 (define @t1701 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1512 @t93))) % 55.33/55.55 (define @t1702 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1698 @t189))) % 55.33/55.55 (define @t1703 () (or (and @t1702 @t1486) (and @t1701 @t1523))) % 55.33/55.55 (define @t1704 () (tptp.linord581940658strict @t1)) % 55.33/55.55 (define @t1705 () (tptp.hAPP @t1 @t18 @t82 @t189)) % 55.33/55.55 (define @t1706 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 (tptp.hAPP @t1 @t1 @t1705 @t224)) (tptp.hAPP @t1 @t1 @t1705 @t227)))) % 55.33/55.55 (define @t1707 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1667 @t569))) % 55.33/55.55 (define @t1708 () (tptp.linord20386208strict @t29)) % 55.33/55.55 (define @t1709 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t1457 @t569) @t91))) % 55.33/55.55 (define @t1710 () (=> @t1671 @t1672)) % 55.33/55.55 (define @t1711 () (tptp.linord581940658strict @t29)) % 55.33/55.55 (define @t1712 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t1457 @t784) @t770))) % 55.33/55.55 (define @t1713 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1667 @t722))) % 55.33/55.55 (define @t1714 () (tptp.hAPP @t29 @t39 @t85 @t722)) % 55.33/55.55 (define @t1715 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t1457 (tptp.hAPP @t29 @t29 @t1714 @t558)) (tptp.hAPP @t29 @t29 @t1714 @t568)))) % 55.33/55.55 (define @t1716 () (forall @t833 (=> @t1477 (=> @t1713 @t1715)))) % 55.33/55.55 (define @t1717 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1482 @t91))) % 55.33/55.55 (define @t1718 () (@var "T_1" $$unsorted)) % 55.33/55.55 (define @t1719 () (@var "T_2" $$unsorted)) % 55.33/55.55 (define @t1720 () (tptp.fun @t1719 @t1718)) % 55.33/55.55 (define @t1721 () (@list @t1719 @t1718)) % 55.33/55.55 (define @t1722 () (@var "A" $$unsorted)) % 55.33/55.55 (define @t1723 () (@var "T" $$unsorted)) % 55.33/55.55 (define @t1724 () (tptp.ti @t1723 @t1722)) % 55.33/55.55 (define @t1725 () (@list @t29 @t564 @t778)) % 55.33/55.55 (define @t1726 () (@var "P" $$unsorted)) % 55.33/55.55 (define @t1727 () (tptp.ti tptp.bool @t1726)) % 55.33/55.55 (define @t1728 () (@list @t1726)) % 55.33/55.55 (define @t1729 () (tptp.hBOOL @t1726)) % 55.33/55.55 (define @t1730 () (not @t1729)) % 55.33/55.55 (define @t1731 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool tptp.fNot @t1726))) % 55.33/55.55 (define @t1732 () (@var "R" $$unsorted)) % 55.33/55.55 (define @t1733 () (@var "Q" $$unsorted)) % 55.33/55.55 (define @t1734 () (tptp.hAPP @t29 @t1 @t1733 @t1732)) % 55.33/55.55 (define @t1735 () (@list @t29 @t2 @t1 @t1726 @t1733 @t1732)) % 55.33/55.55 (define @t1736 () (tptp.hAPP @t29 @t13 @t1726 @t1732)) % 55.33/55.55 (define @t1737 () (tptp.ti @t29 @t1726)) % 55.33/55.55 (define @t1738 () (tptp.hAPP @t1 @t29 (tptp.hAPP @t29 @t42 @t41 @t1726) @t1733)) % 55.33/55.55 (define @t1739 () (forall (@list @t1 @t29 @t1726 @t1733) (= @t1738 @t1737))) % 55.33/55.55 (define @t1740 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t158 tptp.fconj @t1726) @t1733))) % 55.33/55.55 (define @t1741 () (tptp.hBOOL @t1733)) % 55.33/55.55 (define @t1742 () (not @t1741)) % 55.33/55.55 (define @t1743 () (@list @t1733 @t1726)) % 55.33/55.55 (define @t1744 () (not @t1740)) % 55.33/55.55 (define @t1745 () (@list @t1726 @t1733)) % 55.33/55.55 (define @t1746 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t158 tptp.fdisj @t1726) @t1733))) % 55.33/55.55 (define @t1747 () (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t160 @t564) @t778))) % 55.33/55.55 (define @t1748 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t158 tptp.fimplies @t1726) @t1733))) % 55.33/55.55 (define @t1749 () (tptp.bot_bot @t170)) % 55.33/55.55 (define @t1750 () (tptp.fun @t102 @t102)) % 55.33/55.55 (define @t1751 () (tptp.fun tptp.x_a @t192)) % 55.33/55.55 (define @t1752 () (tptp.fun tptp.x_a @t1750)) % 55.33/55.55 (define @t1753 () (tptp.hAPP @t102 @t171 (tptp.hAPP @t1752 (tptp.fun @t102 @t171) (tptp.combc tptp.x_a @t102 @t102) (tptp.hAPP @t1751 @t1752 (tptp.hAPP (tptp.fun @t192 @t1750) (tptp.fun @t1751 @t1752) (tptp.combb @t192 @t1750 tptp.x_a) (tptp.combs tptp.state tptp.bool tptp.bool)) (tptp.hAPP @t171 @t1751 (tptp.hAPP @t193 (tptp.fun @t171 @t1751) (tptp.combb @t102 @t192 tptp.x_a) @t194) tptp.p))) (tptp.hAPP @t102 @t102 (tptp.hAPP @t158 @t1750 (tptp.combb tptp.bool tptp.bool tptp.state) tptp.fNot) tptp.b))) % 55.33/55.55 (define @t1754 () (tptp.combk tptp.bool tptp.state)) % 55.33/55.55 (define @t1755 () (tptp.hAPP tptp.bool @t102 @t1754 tptp.fFalse)) % 55.33/55.55 (define @t1756 () (tptp.combk @t102 tptp.x_a)) % 55.33/55.55 (define @t1757 () (tptp.hAPP @t102 @t171 @t1756 @t1755)) % 55.33/55.55 (define @t1758 () (tptp.hoare_759811442triple tptp.x_a)) % 55.33/55.55 (define @t1759 () (tptp.fun @t171 @t169)) % 55.33/55.55 (define @t1760 () (tptp.fun tptp.com @t1759)) % 55.33/55.55 (define @t1761 () (tptp.insert @t169)) % 55.33/55.55 (define @t1762 () (tptp.fun @t170 @t170)) % 55.33/55.55 (define @t1763 () (tptp.hAPP @t170 (tptp.fun @t170 tptp.bool) (tptp.hoare_1301688828derivs tptp.x_a) tptp.g)) % 55.33/55.55 (define @t1764 () (tptp.hBOOL (tptp.hAPP @t170 tptp.bool @t1763 (tptp.hAPP @t170 @t170 (tptp.hAPP @t169 @t1762 @t1761 (tptp.hAPP @t171 @t169 (tptp.hAPP tptp.com @t1759 (tptp.hAPP @t171 @t1760 @t1758 @t1757) tptp.c) @t1753)) @t1749)))) % 55.33/55.55 (define @t1765 () (forall @t210 (or (not (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.x_a @t102 @t1757 @t201) @t204))) (tptp.hBOOL (tptp.hAPP @t170 tptp.bool @t1763 (tptp.hAPP @t170 @t170 (tptp.hAPP @t169 @t1762 @t1761 (tptp.hAPP @t171 @t169 (tptp.hAPP tptp.com @t1759 (tptp.hAPP @t171 @t1760 @t1758 (tptp.hAPP @t102 @t171 @t1756 @t207)) tptp.c) (tptp.hAPP @t102 @t171 @t1756 (tptp.hAPP tptp.x_a @t102 @t1753 @t201)))) @t1749)))))) % 55.33/55.55 (define @t1766 () (@quantifiers_skolemize @t1765 1)) % 55.33/55.55 (define @t1767 () (@quantifiers_skolemize @t1765 0)) % 55.33/55.55 (define @t1768 () (tptp.hAPP tptp.state tptp.bool (tptp.hAPP tptp.x_a @t102 @t1757 @t1767) @t1766)) % 55.33/55.55 (define @t1769 () (tptp.hBOOL @t1768)) % 55.33/55.55 (define @t1770 () (forall @t210 (or (not @t209) @t208))) % 55.33/55.55 (define @t1771 () (not @t1765)) % 55.33/55.55 (define @t1772 () (or @t1771 @t1764)) % 55.33/55.55 (define @t1773 () (not @t1769)) % 55.33/55.55 (define @t1774 () (or @t1773 (tptp.hBOOL (tptp.hAPP @t170 tptp.bool @t1763 (tptp.hAPP @t170 @t170 (tptp.hAPP @t169 @t1762 @t1761 (tptp.hAPP @t171 @t169 (tptp.hAPP tptp.com @t1759 (tptp.hAPP @t171 @t1760 @t1758 (tptp.hAPP @t102 @t171 @t1756 (tptp.hAPP tptp.state @t102 @t206 @t1766))) tptp.c) (tptp.hAPP @t102 @t171 @t1756 (tptp.hAPP tptp.x_a @t102 @t1753 @t1767)))) @t1749))))) % 55.33/55.55 (assume @p1 (forall @t9 (=> @t8 (= (tptp.ti @t7 @t3) @t3)))) % 55.33/55.55 (assume @p2 (forall @t15 (=> @t14 (= (tptp.ti (tptp.fun @t13 @t12) @t10) @t10)))) % 55.33/55.55 (assume @p3 (forall @t22 (=> @t21 (= (tptp.ti @t20 @t16) @t16)))) % 55.33/55.55 (assume @p4 (forall @t22 (=> @t21 (= (tptp.ti @t20 @t23) @t23)))) % 55.33/55.55 (assume @p5 (forall @t22 (=> @t21 (= (tptp.ti @t17 @t24) @t24)))) % 55.33/55.55 (assume @p6 (forall @t22 (=> @t21 (= (tptp.ti @t17 @t25) @t25)))) % 55.33/55.55 (assume @p7 (forall @t22 (= (tptp.ti @t28 @t26) @t26))) % 55.33/55.55 (assume @p8 (forall (@list @t1 @t2 @t29) (= (tptp.ti (tptp.fun @t13 @t33) @t30) @t30))) % 55.33/55.55 (assume @p9 (forall @t37 (= (tptp.ti (tptp.fun @t36 @t35) @t34) @t34))) % 55.33/55.55 (assume @p10 (forall @t40 (= (tptp.ti @t39 @t38) @t38))) % 55.33/55.55 (assume @p11 (forall (@list @t29 @t1) (= (tptp.ti (tptp.fun @t29 @t42) @t41) @t41))) % 55.33/55.55 (assume @p12 (forall @t37 (= (tptp.ti (tptp.fun @t36 @t33) @t43) @t43))) % 55.33/55.55 (assume @p13 (= (tptp.ti (tptp.fun tptp.vname @t45) tptp.ass) tptp.ass)) % 55.33/55.55 (assume @p14 (= (tptp.ti tptp.com tptp.skip) tptp.skip)) % 55.33/55.55 (assume @p15 (= (tptp.ti (tptp.fun tptp.com @t46) tptp.semi) tptp.semi)) % 55.33/55.55 (assume @p16 (forall @t22 (= (tptp.ti @t48 @t47) @t47))) % 55.33/55.55 (assume @p17 (forall @t15 (= (tptp.ti @t52 @t49) @t49))) % 55.33/55.55 (assume @p18 (forall @t15 (= (tptp.ti @t52 @t53) @t53))) % 55.33/55.55 (assume @p19 (forall @t22 (= (tptp.ti @t55 @t54) @t54))) % 55.33/55.55 (assume @p20 (forall @t15 (= (tptp.ti (tptp.fun @t51 @t57) @t56) @t56))) % 55.33/55.55 (assume @p21 (forall @t22 (= (tptp.ti @t20 @t58) @t58))) % 55.33/55.55 (assume @p22 (forall @t22 (= (tptp.ti (tptp.fun @t19 @t60) @t59) @t59))) % 55.33/55.55 (assume @p23 (forall @t15 (= (tptp.ti @t64 @t61) @t61))) % 55.33/55.55 (assume @p24 (forall @t15 (= (tptp.ti @t69 @t65) @t65))) % 55.33/55.55 (assume @p25 (forall @t15 (= (tptp.ti @t69 @t70) @t70))) % 55.33/55.55 (assume @p26 (forall @t22 (= (tptp.ti @t28 @t71) @t71))) % 55.33/55.55 (assume @p27 (forall @t22 (= (tptp.ti @t28 @t72) @t72))) % 55.33/55.55 (assume @p28 (forall @t22 (=> @t74 (= (tptp.ti @t19 @t73) @t73)))) % 55.33/55.55 (assume @p29 (forall @t22 (=> @t76 (= (tptp.ti @t1 @t75) @t75)))) % 55.33/55.55 (assume @p30 (forall @t40 (=> @t80 @t79))) % 55.33/55.55 (assume @p31 (forall @t40 (=> @t81 @t79))) % 55.33/55.55 (assume @p32 (forall @t22 (=> @t84 @t83))) % 55.33/55.55 (assume @p33 (forall @t40 (=> @t86 (= (tptp.ti @t78 @t85) @t85)))) % 55.33/55.55 (assume @p34 (forall @t22 (=> @t87 @t83))) % 55.33/55.55 (assume @p35 (forall @t90 (=> @t89 (= (tptp.ti @t50 @t88) @t88)))) % 55.33/55.55 (assume @p36 (forall @t40 (=> @t92 (= (tptp.ti @t29 @t91) @t91)))) % 55.33/55.55 (assume @p37 (forall @t22 (=> @t94 (= (tptp.ti @t1 @t93) @t93)))) % 55.33/55.55 (assume @p38 (forall @t22 (= (tptp.ti @t17 @t95) @t95))) % 55.33/55.55 (assume @p39 (forall @t40 (= (tptp.ti @t29 @t96) @t96))) % 55.33/55.55 (assume @p40 (forall @t22 (= (tptp.ti (tptp.fun @t99 @t100) @t97) @t97))) % 55.33/55.55 (assume @p41 (forall @t22 (= (tptp.ti (tptp.fun @t103 @t105) @t101) @t101))) % 55.33/55.55 (assume @p42 (forall @t9 (= (tptp.ti @t113 @t106) @t106))) % 55.33/55.55 (assume @p43 (forall @t9 (= (tptp.ti @t113 @t114) @t114))) % 55.33/55.55 (assume @p44 (forall @t40 (= (tptp.ti (tptp.fun tptp.bool @t78) @t115) @t115))) % 55.33/55.55 (assume @p45 (forall @t40 (=> @t118 (= (tptp.ti @t117 @t116) @t116)))) % 55.33/55.55 (assume @p46 (= (tptp.ti @t120 tptp.update) tptp.update)) % 55.33/55.55 (assume @p47 (forall @t15 (= (tptp.ti @t64 @t121) @t121))) % 55.33/55.55 (assume @p48 (forall @t22 (=> @t123 (= (tptp.ti @t1 @t122) @t122)))) % 55.33/55.55 (assume @p49 (forall @t22 (=> @t127 (= (tptp.ti @t126 @t124) @t124)))) % 55.33/55.55 (assume @p50 (forall @t22 (=> @t127 (= (tptp.ti @t126 @t128) @t128)))) % 55.33/55.55 (assume @p51 (forall @t22 (=> @t127 (= (tptp.ti @t125 @t129) @t129)))) % 55.33/55.55 (assume @p52 (forall @t90 (=> @t132 (= (tptp.ti @t131 @t130) @t130)))) % 55.33/55.55 (assume @p53 (forall @t22 (=> @t127 (= (tptp.ti @t19 @t133) @t133)))) % 55.33/55.55 (assume @p54 (forall @t40 (=> @t135 (= (tptp.ti @t78 @t134) @t134)))) % 55.33/55.55 (assume @p55 (forall @t22 (= (tptp.ti @t137 @t136) @t136))) % 55.33/55.55 (assume @p56 (forall @t22 (= (tptp.ti (tptp.fun @t1 @t141) @t138) @t138))) % 55.33/55.55 (assume @p57 (forall @t22 (=> @t84 (= (tptp.ti @t140 @t142) @t142)))) % 55.33/55.55 (assume @p58 (forall @t22 (=> @t145 (= (tptp.ti @t144 @t143) @t143)))) % 55.33/55.55 (assume @p59 (forall @t22 (=> @t127 (= (tptp.ti @t125 @t146) @t146)))) % 55.33/55.55 (assume @p60 (= (tptp.ti (tptp.fun tptp.nat @t149) @t147) @t147)) % 55.33/55.55 (assume @p61 (forall @t22 (=> @t127 (= (tptp.ti @t125 @t150) @t150)))) % 55.33/55.55 (assume @p62 (forall @t22 (= (tptp.ti @t60 @t151) @t151))) % 55.33/55.55 (assume @p63 (forall @t15 (= (tptp.ti (tptp.fun @t13 @t62) @t152) @t152))) % 55.33/55.55 (assume @p64 (forall @t22 (= (tptp.ti @t154 @t153) @t153))) % 55.33/55.55 (assume @p65 (forall @t22 (= (tptp.ti @t17 @t155) @t155))) % 55.33/55.55 (assume @p66 (forall @t40 (= (tptp.ti (tptp.fun @t157 tptp.bool) @t156) @t156))) % 55.33/55.55 (assume @p67 (= (tptp.ti tptp.bool tptp.fFalse) tptp.fFalse)) % 55.33/55.55 (assume @p68 (= (tptp.ti @t158 tptp.fNot) tptp.fNot)) % 55.33/55.55 (assume @p69 (= (tptp.ti tptp.bool tptp.fTrue) tptp.fTrue)) % 55.33/55.55 (assume @p70 (= (tptp.ti @t159 tptp.fconj) tptp.fconj)) % 55.33/55.55 (assume @p71 (= (tptp.ti @t159 tptp.fdisj) tptp.fdisj)) % 55.33/55.55 (assume @p72 (forall @t40 (= (tptp.ti (tptp.fun @t29 @t157) @t160) @t160))) % 55.33/55.55 (assume @p73 (= (tptp.ti @t159 tptp.fimplies) tptp.fimplies)) % 55.33/55.55 (assume @p74 (forall @t164 (= (tptp.hAPP @t29 @t2 (tptp.ti @t31 @t162) @t161) @t163))) % 55.33/55.55 (assume @p75 (forall @t164 (= (tptp.hAPP @t29 @t2 @t162 (tptp.ti @t29 @t161)) @t163))) % 55.33/55.55 (assume @p76 @t166) % 55.33/55.55 (assume @p77 (forall (@list @t162) (= (tptp.hBOOL (tptp.ti tptp.bool @t162)) (tptp.hBOOL @t162)))) % 55.33/55.55 (assume @p78 (forall @t22 (= (tptp.ti @t168 @t167) @t167))) % 55.33/55.55 (assume @p79 (= (tptp.ti @t170 tptp.g) tptp.g)) % 55.33/55.55 (assume @p80 (= (tptp.ti @t171 tptp.p) tptp.p)) % 55.33/55.55 (assume @p81 (= (tptp.ti @t102 tptp.b) tptp.b)) % 55.33/55.55 (assume @p82 (= (tptp.ti tptp.com tptp.c) tptp.c)) % 55.33/55.55 (assume @p83 (forall (@list @t1 @t173) (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t174 @t172)))) % 55.33/55.55 (assume @p84 (forall (@list @t1 @t180 @t178 @t176 @t179 @t177 @t175) (= (= (tptp.hAPP @t103 @t98 (tptp.hAPP tptp.com @t104 (tptp.hAPP @t103 @t105 @t101 @t180) @t178) @t176) (tptp.hAPP @t103 @t98 (tptp.hAPP tptp.com @t104 (tptp.hAPP @t103 @t105 @t101 @t179) @t177) @t175)) (and (= @t180 @t179) (= @t178 @t177) (= @t176 @t175))))) % 55.33/55.55 (assume @p85 (forall (@list @t1 @t173 @t183 @t181) (=> (tptp.hBOOL (tptp.hAPP @t99 tptp.bool (tptp.hAPP @t99 @t100 @t97 @t183) @t181)) (=> (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t174 @t183)) @t182)))) % 55.33/55.55 (assume @p86 (forall (@list @t1 @t181 @t173 @t184) (=> (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t174 (tptp.hAPP @t99 @t99 @t187 @t172))) (=> @t182 (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t174 (tptp.hAPP @t99 @t99 @t187 @t181))))))) % 55.33/55.55 (assume @p87 (forall (@list @t1 @t173 @t191 @t189 @t188 @t190) (=> (=> (tptp.hBOOL @t190) @t200) (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t174 (tptp.hAPP @t99 @t99 (tptp.hAPP @t98 @t186 @t185 (tptp.hAPP @t103 @t98 (tptp.hAPP tptp.com @t104 (tptp.hAPP @t103 @t105 @t101 (tptp.hAPP tptp.bool @t103 (tptp.hAPP @t197 (tptp.fun tptp.bool @t103) (tptp.combc @t1 tptp.bool @t102) (tptp.hAPP @t195 @t197 (tptp.hAPP (tptp.fun @t192 @t196) (tptp.fun @t195 @t197) (tptp.combb @t192 @t196 @t1) (tptp.combc tptp.state tptp.bool tptp.bool)) (tptp.hAPP @t103 @t195 (tptp.hAPP @t193 (tptp.fun @t103 @t195) (tptp.combb @t102 @t192 @t1) @t194) @t191))) @t190)) @t189) @t188)) @t172)))))) % 55.33/55.55 (assume @p88 @t214) % 55.33/55.55 (assume @p89 (forall (@list @t1 @t188 @t173 @t191 @t189 @t215) (=> (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t174 (tptp.hAPP @t99 @t99 (tptp.hAPP @t98 @t186 @t185 (tptp.hAPP @t103 @t98 @t199 @t215)) @t172))) (=> (forall @t210 (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t1 @t102 @t215 @t201) @t204)) (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool @t202 @t204)))) @t200)))) % 55.33/55.55 (assume @p90 (forall (@list @t1 @t191 @t173 @t216 @t189 @t188) (=> (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t174 (tptp.hAPP @t99 @t99 (tptp.hAPP @t98 @t186 @t185 (tptp.hAPP @t103 @t98 @t217 @t188)) @t172))) (=> (forall @t210 (=> @t209 (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t1 @t102 @t216 @t201) @t204)))) @t200)))) % 55.33/55.55 (assume @p91 (forall (@list @t1 @t188 @t191 @t173 @t216 @t189 @t215) (=> (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t174 (tptp.hAPP @t99 @t99 (tptp.hAPP @t98 @t186 @t185 (tptp.hAPP @t103 @t98 @t217 @t215)) @t172))) (=> (forall @t210 (=> @t209 (forall @t222 (=> (forall @t221 (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t1 @t102 @t216 @t220) @t204)) (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t1 @t102 @t215 @t220) @t218)))) @t219)))) @t200)))) % 55.33/55.55 (assume @p92 (forall @t235 (=> @t234 (=> @t231 @t226)))) % 55.33/55.55 (assume @p93 (forall @t241 (=> (=> @t240 @t230) @t238))) % 55.33/55.55 (assume @p94 (forall @t243 (not (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t225 @t242))))) % 55.33/55.55 (assume @p95 (forall @t243 (= (tptp.hAPP @t11 @t11 @t151 @t247) @t245))) % 55.33/55.55 (assume @p96 (forall @t243 (= (tptp.hAPP @t11 @t11 @t151 @t250) @t245))) % 55.33/55.55 (assume @p97 (forall @t259 (and (=> @t257 (= @t256 @t245)) (=> @t258 (= @t256 @t242))))) % 55.33/55.55 (assume @p98 (forall @t259 (and (=> @t257 (= @t260 @t245)) (=> @t258 (= @t260 @t242))))) % 55.33/55.55 (assume @p99 (forall @t265 (= (tptp.hAPP @t107 @t1 (tptp.hAPP @t112 @t108 @t114 @t261) @t264) @t262))) % 55.33/55.55 (assume @p100 (forall @t269 (=> @t268 @t266))) % 55.33/55.55 (assume @p101 (forall @t275 (= (= @t274 @t242) @t273))) % 55.33/55.55 (assume @p102 (forall (@list @t1 @t189) (not (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t276 @t242))))) % 55.33/55.55 (assume @p103 (forall @t275 (= (= @t242 @t274) @t273))) % 55.33/55.55 (assume @p104 (forall @t280 (= (exists @t272 @t279) @t277))) % 55.33/55.55 (assume @p105 (forall @t280 (= (forall @t272 (not @t279)) @t268))) % 55.33/55.55 (assume @p106 (forall @t22 (= @t242 (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP tptp.bool @t11 (tptp.combk tptp.bool @t1) tptp.fFalse))))) % 55.33/55.55 (assume @p107 (forall @t269 (=> @t226 (= @t281 @t267)))) % 55.33/55.55 (assume @p108 (forall @t241 (=> @t239 @t238))) % 55.33/55.55 (assume @p109 (forall @t293 (=> @t292 (=> @t290 (= (= @t287 @t286) @t283))))) % 55.33/55.55 (assume @p110 (forall (@list @t1 @t296 @t223 @t284) (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t299 @t284)) (or (= @t297 @t295) @t294)))) % 55.33/55.55 (assume @p111 (forall @t235 (= @t234 (or @t230 @t226)))) % 55.33/55.55 (assume @p112 (forall (@list @t1 @t284 @t296 @t223) (= (tptp.hAPP @t11 @t11 @t285 @t299) (tptp.hAPP @t11 @t11 @t298 @t287)))) % 55.33/55.55 (assume @p113 (forall @t300 (= (tptp.hAPP @t11 @t11 @t285 @t287) @t287))) % 55.33/55.55 (assume @p114 (forall @t303 (= (tptp.hAPP @t11 @t11 @t244 @t274) (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t11 @t11 (tptp.hAPP @t252 @t60 @t255 (tptp.hAPP @t11 @t252 (tptp.hAPP @t159 @t253 @t251 tptp.fimplies) (tptp.hAPP @t11 @t11 @t302 @t250))) @t191))))) % 55.33/55.55 (assume @p115 (forall @t308 (= @t307 (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t11 @t11 (tptp.hAPP @t252 @t60 @t255 (tptp.hAPP @t11 @t252 @t306 @t250)) @t305))))) % 55.33/55.55 (assume @p116 (forall @t308 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t225 @t307)))) % 55.33/55.55 (assume @p117 (forall (@list @t1 @t270 @t309) (= (tptp.hAPP @t11 @t11 @t310 @t309) (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t11 @t11 (tptp.hAPP @t252 @t60 @t255 (tptp.hAPP @t11 @t252 @t306 (tptp.hAPP @t1 @t11 @t249 @t270))) (tptp.hAPP @t11 @t11 @t304 @t309)))))) % 55.33/55.55 (assume @p118 (forall (@list @t1 @t224 @t227) (=> (= @t245 @t311) @t230))) % 55.33/55.55 (assume @p119 (forall @t315 (=> @t314 @t312))) % 55.33/55.55 (assume @p120 (forall (@list @t1 @t224 @t227 @t189 @t318) (= (= (tptp.hAPP @t11 @t11 @t244 @t311) (tptp.hAPP @t11 @t11 @t320 (tptp.hAPP @t11 @t11 (tptp.hAPP @t1 @t60 @t153 @t318) @t242))) (or (and (= @t229 @t316) (= @t228 @t319)) (and (= @t229 @t319) @t317))))) % 55.33/55.55 (assume @p121 (forall @t315 (= @t314 @t312))) % 55.33/55.55 (assume @p122 (forall @t269 (not (= @t281 @t242)))) % 55.33/55.55 (assume @p123 (forall @t269 (not (= @t242 @t281)))) % 55.33/55.55 (assume @p124 (forall @t322 (= (tptp.hAPP @t11 @t1 @t155 @t321) @t295))) % 55.33/55.55 (assume @p125 (forall @t265 (= (tptp.hAPP @t107 @t1 (tptp.hAPP @t112 @t108 @t106 @t261) @t264) @t262))) % 55.33/55.55 (assume @p126 (forall @t9 (=> @t123 (forall @t323 (= (tptp.hAPP @t2 @t1 (tptp.bot_bot @t6) @t284) @t122))))) % 55.33/55.55 (assume @p127 (forall @t15 (=> (tptp.bot @t2) (forall @t272 (= (tptp.hAPP @t1 @t2 (tptp.bot_bot @t13) @t270) (tptp.bot_bot @t2)))))) % 55.33/55.55 (assume @p128 (forall (@list @t1 @t173 @t191) (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t174 (tptp.hAPP @t99 @t99 (tptp.hAPP @t98 @t186 @t185 (tptp.hAPP @t103 @t98 (tptp.hAPP tptp.com @t104 @t198 tptp.skip) @t191)) @t172))))) % 55.33/55.55 (assume @p129 (forall (@list @t1 @t318 @t324 @t173 @t191 @t189 @t188) (=> @t200 (=> (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t174 (tptp.hAPP @t99 @t99 (tptp.hAPP @t98 @t186 @t185 (tptp.hAPP @t103 @t98 (tptp.hAPP tptp.com @t104 (tptp.hAPP @t103 @t105 @t101 @t188) @t318) @t324)) @t172))) (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t174 (tptp.hAPP @t99 @t99 (tptp.hAPP @t98 @t186 @t185 (tptp.hAPP @t103 @t98 (tptp.hAPP tptp.com @t104 @t198 (tptp.hAPP tptp.com tptp.com (tptp.hAPP tptp.com @t46 tptp.semi @t189) @t318)) @t324)) @t172))))))) % 55.33/55.55 (assume @p130 (forall (@list @t1 @t296) (not (forall (@list @t327 @t326 @t325) (not (= @t296 (tptp.hAPP @t103 @t98 (tptp.hAPP tptp.com @t104 (tptp.hAPP @t103 @t105 @t101 @t327) @t326) @t325))))))) % 55.33/55.55 (assume @p131 (forall @t300 (=> @t291 (not (forall @t329 (=> (= @t267 (tptp.hAPP @t11 @t11 @t285 @t328)) (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t288 @t328)))))))) % 55.33/55.55 (assume @p132 (forall @t269 (=> @t226 (exists @t329 (and (= @t267 (tptp.hAPP @t11 @t11 @t244 @t328)) (not (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t225 @t328)))))))) % 55.33/55.55 (assume @p133 (forall @t280 (=> (forall @t332 (not @t331)) @t268))) % 55.33/55.55 (assume @p134 (forall (@list @t1 @t188 @t173 @t189 @t191) (=> (forall @t210 (=> @t209 (exists (@list @t334 @t333) (and (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t174 (tptp.hAPP @t99 @t99 (tptp.hAPP @t98 @t186 @t185 (tptp.hAPP @t103 @t98 (tptp.hAPP tptp.com @t104 (tptp.hAPP @t103 @t105 @t101 @t334) @t189) @t333)) @t172))) (forall @t222 (=> (forall @t221 (=> (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t1 @t102 @t334 @t220) @t204)) (tptp.hBOOL (tptp.hAPP tptp.state tptp.bool (tptp.hAPP @t1 @t102 @t333 @t220) @t218)))) @t219)))))) @t200))) % 55.33/55.55 (assume @p135 (forall @t280 (= @t277 (exists (@list @t270 @t328) (and (= @t267 (tptp.hAPP @t11 @t11 @t310 @t328)) (not (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t278 @t328)))))))) % 55.33/55.55 (assume @p136 (forall @t338 (not (= @t337 tptp.skip)))) % 55.33/55.55 (assume @p137 (forall @t338 (not (= tptp.skip @t337)))) % 55.33/55.55 (assume @p138 (forall (@list @t1 @t342) (= (tptp.hAPP @t11 @t1 @t155 @t342) (tptp.hAPP @t11 @t1 @t95 (tptp.hAPP @t125 @t11 (tptp.hAPP @t55 @t344 @t343 (tptp.hAPP @t11 @t55 (tptp.fequal @t11) @t342)) @t341))))) % 55.33/55.55 (assume @p139 (forall (@list @t348 @t346 @t347 @t345) (= (= (tptp.hAPP tptp.com tptp.com (tptp.hAPP tptp.com @t46 tptp.semi @t348) @t346) @t349) (and (= @t348 @t347) (= @t346 @t345))))) % 55.33/55.55 (assume @p140 (forall (@list @t1 @t350 @t224 @t227) (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t11 @t11 @t351 @t245) @t227)) @t230))) % 55.33/55.55 (assume @p141 (forall @t354 (=> @t353 (= (tptp.hAPP @t11 @t1 @t352 @t321) @t295)))) % 55.33/55.55 (assume @p142 (forall (@list @t1 @t270) (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t242 @t270)) (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t278 @t242))))) % 55.33/55.55 (assume @p143 (forall (@list @t1 @t173 @t191 @t342 @t224) (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t174 (tptp.hAPP @t99 @t99 (tptp.hAPP @t98 @t186 @t185 (tptp.hAPP @t103 @t98 (tptp.hAPP tptp.com @t104 (tptp.hAPP @t103 @t105 @t101 (tptp.hAPP @t356 @t103 (tptp.hAPP @t358 (tptp.fun @t356 @t103) (tptp.combc @t1 @t356 @t102) (tptp.hAPP @t103 @t358 (tptp.hAPP (tptp.fun @t102 @t357) (tptp.fun @t103 @t358) (tptp.combb @t102 @t357 @t1) (tptp.combb tptp.state tptp.bool tptp.state)) @t191)) (tptp.hAPP @t44 @t356 (tptp.hAPP @t355 (tptp.fun @t44 @t356) (tptp.combs tptp.state tptp.nat tptp.state) (tptp.hAPP tptp.vname @t355 (tptp.hAPP @t120 (tptp.fun tptp.vname @t355) (tptp.combc tptp.state tptp.vname @t119) tptp.update) @t342)) @t224))) (tptp.hAPP @t44 tptp.com (tptp.hAPP tptp.vname @t45 tptp.ass @t342) @t224)) @t191)) @t172))))) % 55.33/55.55 (assume @p144 (forall (@list @t1 @t350 @t224) (= (tptp.hAPP @t11 @t1 @t359 @t245) @t229))) % 55.33/55.55 (assume @p145 (forall (@list @t1 @t224 @t360 @t350) (=> (= @t360 @t359) (= (tptp.hAPP @t11 @t1 @t360 @t245) @t229)))) % 55.33/55.55 (assume @p146 (forall (@list @t2 @t1 @t189 @t223) (and (=> @t268 (= @t365 @t361)) (=> @t277 @t366)))) % 55.33/55.55 (assume @p147 (forall (@list @t1 @t2 @t223 @t227 @t350 @t284) (=> (= @t228 (tptp.hAPP @t2 @t1 @t350 @t284)) (=> @t373 @t370)))) % 55.33/55.55 (assume @p148 (forall @t376 (= @t375 (tptp.hAPP @t11 @t1 @t95 @t374)))) % 55.33/55.55 (assume @p149 (forall (@list @t380 @t378 @t379 @t377) (= (= @t382 @t381) (and (= (tptp.ti tptp.vname @t380) (tptp.ti tptp.vname @t379)) (= @t378 @t377))))) % 55.33/55.55 (assume @p150 (forall (@list @t2 @t1 @t227 @t350 @t284 @t223) (=> @t291 (=> (= (tptp.ti @t2 @t227) @t385) (tptp.hBOOL (tptp.hAPP @t4 tptp.bool (tptp.hAPP @t2 @t372 @t371 @t227) @t384)))))) % 55.33/55.55 (assume @p151 (forall @t386 (=> @t291 (tptp.hBOOL (tptp.hAPP @t4 tptp.bool (tptp.hAPP @t2 @t372 @t371 @t385) @t384))))) % 55.33/55.55 (assume @p152 (forall (@list @t1 @t2 @t388 @t350 @t223) (= (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t1 @t55 @t167 @t388) @t369)) (exists @t272 (and @t391 (= @t389 @t387)))))) % 55.33/55.55 (assume @p153 (forall (@list @t2 @t1 @t392 @t350 @t360 @t223) (= (tptp.hAPP @t4 @t11 @t368 (tptp.hAPP @t395 @t4 (tptp.hAPP @t394 (tptp.fun @t395 @t4) (tptp.image @t392 @t2) @t360) @t223)) (tptp.hAPP @t395 @t11 (tptp.hAPP @t393 (tptp.fun @t395 @t11) (tptp.image @t392 @t1) (tptp.hAPP @t394 @t393 (tptp.hAPP @t6 (tptp.fun @t394 @t393) (tptp.combb @t2 @t1 @t392) @t350) @t360)) @t223)))) % 55.33/55.55 (assume @p154 (forall (@list @t1 @t396) (= (tptp.hAPP @t11 @t11 (tptp.hAPP @t18 @t60 @t397 (tptp.combi @t1)) @t396) (tptp.ti @t11 @t396)))) % 55.33/55.55 (assume @p155 (forall (@list @t380 @t378 @t347 @t345) (not (= @t382 @t349)))) % 55.33/55.55 (assume @p156 (forall (@list @t347 @t345 @t380 @t378) (not (= @t349 @t382)))) % 55.33/55.55 (assume @p157 (forall @t398 (not (= tptp.skip @t381)))) % 55.33/55.55 (assume @p158 (forall (@list @t1 @t2 @t350 @t360) (=> (forall @t272 @t401) (= (tptp.ti @t13 @t350) (tptp.ti @t13 @t360))))) % 55.33/55.55 (assume @p159 (forall @t300 (= @t291 @t294))) % 55.33/55.55 (assume @p160 (forall @t275 (= @t274 (tptp.ti @t11 @t191)))) % 55.33/55.55 (assume @p161 (forall @t398 (not (= @t381 tptp.skip)))) % 55.33/55.55 (assume @p162 (forall @t403 (= (= @t369 @t242) @t402))) % 55.33/55.55 (assume @p163 (forall (@list @t2 @t1 @t350) (= (tptp.hAPP @t4 @t11 @t368 @t361) @t242))) % 55.33/55.55 (assume @p164 (forall (@list @t1 @t2 @t350 @t223) (= (= @t242 @t369) @t402))) % 55.33/55.55 (assume @p165 (forall @t386 (=> @t291 (= (tptp.hAPP @t4 @t4 (tptp.hAPP @t2 @t363 @t362 @t385) @t384) @t384)))) % 55.33/55.55 (assume @p166 (forall (@list @t2 @t1 @t350 @t224 @t236) (= (tptp.hAPP @t4 @t11 @t368 (tptp.hAPP @t4 @t4 (tptp.hAPP @t2 @t363 @t362 @t224) @t236)) (tptp.hAPP @t11 @t11 (tptp.hAPP @t1 @t60 @t153 (tptp.hAPP @t2 @t1 @t350 @t224)) @t404)))) % 55.33/55.55 (assume @p167 (forall (@list @t1 @t350 @t223 @t284) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t374 @t284)) @t277))) % 55.33/55.55 (assume @p168 (forall (@list @t1 @t350 @t284) (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t11 @t11 @t351 @t242) @t284))))) % 55.33/55.55 (assume @p169 (forall (@list @t2 @t1 @t189 @t284 @t223) (=> @t291 @t366))) % 55.33/55.55 (assume @p170 (forall (@list @t1 @t2 @t227 @t350 @t223) (=> @t370 (not (forall @t272 (=> (= @t228 @t387) (not @t391))))))) % 55.33/55.55 (assume @p171 (forall @t322 (= (tptp.hAPP @t11 @t1 @t95 (tptp.hAPP @t1 @t11 @t246 @t284)) @t295))) % 55.33/55.55 (assume @p172 (forall @t243 (= (tptp.hAPP @t11 @t1 @t95 @t250) @t229))) % 55.33/55.55 (assume @p173 (forall (@list @t1 @t284 @t296 @t191) (and (=> @t406 (= @t295 @t405)) (=> @t407 (= @t297 @t405))))) % 55.33/55.55 (assume @p174 (forall (@list @t2 @t1 @t350 @t360 @t409 @t408) (=> (= @t411 @t410) (=> (forall @t272 (=> (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t278 @t408)) @t401)) (= (tptp.hAPP @t11 @t4 @t383 @t409) (tptp.hAPP @t11 @t4 (tptp.hAPP @t13 @t62 @t152 @t360) @t408)))))) % 55.33/55.55 (assume @p175 (forall (@list @t1 @t350 @t224 @t223 @t284) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t11 @t11 (tptp.hAPP @t1 @t60 @t413 @t224) @t223) @t284)) (=> @t266 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t11 @t11 @t351 @t281) @t284)))))) % 55.33/55.55 (assume @p176 (forall @t259 (=> @t257 (=> @t417 @t415)))) % 55.33/55.55 (assume @p177 (forall @t424 (=> @t353 (=> @t423 (=> @t292 @t422))))) % 55.33/55.55 (assume @p178 (forall @t426 (=> @t353 @t425))) % 55.33/55.55 (assume @p179 (forall @t426 (=> @t353 (=> @t423 (=> @t277 (=> (forall @t429 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t1 @t55 @t167 @t428) @t427))) (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t1 @t55 @t167 @t418) @t223)))))))) % 55.33/55.55 (assume @p180 (forall @t434 (=> (or @t433 @t432) (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t11 @t11 @t430 @t188))))))) % 55.33/55.55 (assume @p181 (forall @t22 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 @t242)))) % 55.33/55.55 (assume @p182 (forall @t269 (=> @t423 @t435))) % 55.33/55.55 (assume @p183 (forall (@list @t2 @t1 @t436 @t352) (=> @t438 (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t437 (tptp.hAPP @t11 @t4 (tptp.hAPP @t13 @t62 @t152 @t436) @t352)))))) % 55.33/55.55 (assume @p184 (forall @t22 (=> (tptp.finite_finite @t1) (forall @t439 @t423)))) % 55.33/55.55 (assume @p185 (forall (@list @t1 @t191 @t188) (= (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t11 @t11 (tptp.hAPP @t252 @t60 @t255 (tptp.hAPP @t11 @t252 @t306 @t191)) @t188)))) (and @t433 @t432)))) % 55.33/55.55 (assume @p186 (forall @t269 (= @t435 @t423))) % 55.33/55.55 (assume @p187 (forall @t442 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t441 @t388)))) % 55.33/55.55 (assume @p188 (forall (@list @t2 @t1 @t350 @t388 @t284) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t441 @t284)) (= @t444 @t443)))) % 55.33/55.55 (assume @p189 (forall @t450 (=> @t292 (=> @t449 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t447 @t446)))))) % 55.33/55.55 (assume @p190 (forall (@list @t1 @t350 @t224 @t342 @t284) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t11 @t11 @t351 @t458) @t284)) (not (forall @t459 (=> (= @t458 @t457) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t455 @t284)) @t454))))))) % 55.33/55.55 (assume @p191 (forall @t376 (=> @t423 (=> @t277 (exists @t461 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t374 @t460))))))) % 55.33/55.55 (assume @p192 (forall @t243 (= (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 @t224)) (or (= @t463 @t242) (exists (@list @t451 @t452) (and (= @t463 @t457) @t462)))))) % 55.33/55.55 (assume @p193 (forall @t471 (=> @t438 (=> @t470 (=> (forall @t469 (=> @t468 @t467)) @t464))))) % 55.33/55.55 (assume @p194 (forall @t403 (=> @t479 (=> (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t437 @t384)) (exists @t272 (and @t279 (not (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t11 @t11 @t478 (tptp.hAPP @t2 @t11 (tptp.hAPP @t473 @t475 @t474 (tptp.hAPP @t13 @t473 (tptp.hAPP @t131 (tptp.fun @t13 @t473) (tptp.combb @t2 @t4 @t1) @t472) @t350)) @t400)))))))))))) % 55.33/55.55 (assume @p195 (forall @t480 (=> @t423 (exists @t461 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t448 @t460)))))) % 55.33/55.55 (assume @p196 (forall (@list @t1 @t350 @t482 @t481) (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t11 @t11 @t351 @t482) @t481)) (exists (@list @t452 @t451 @t270) (and (= @t483 @t457) (= (tptp.ti @t1 @t481) @t416) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t455 @t270)) (not @t454)))))) % 55.33/55.55 (assume @p197 (forall @t259 (=> @t257 (=> @t417 @t484)))) % 55.33/55.55 (assume @p198 (forall @t303 (=> @t486 (=> @t257 @t415)))) % 55.33/55.55 (assume @p199 (forall @t275 (=> @t486 @t484))) % 55.33/55.55 (assume @p200 (forall (@list @t2 @t1 @t350 @t388 @t482 @t481) (= (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t11 @t4 @t440 @t482) @t481)) (or (and (= @t483 @t242) (= @t488 @t443)) (exists (@list @t270 @t451 @t330) (and (= @t483 (tptp.hAPP @t11 @t11 @t310 @t451)) (= @t488 (tptp.hAPP @t2 @t2 (tptp.hAPP @t1 @t50 @t350 @t270) @t330)) (not @t487) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t11 @t4 @t440 @t451) @t330)))))))) % 55.33/55.55 (assume @p201 (forall @t424 (=> @t489 (=> @t423 @t422)))) % 55.33/55.55 (assume @p202 (forall @t471 (=> @t438 (=> (not (= (tptp.ti @t11 @t352) @t242)) (=> (forall @t272 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t191 (tptp.hAPP @t11 @t11 @t310 @t242)))) (=> (forall @t469 (=> @t468 (=> (not (= (tptp.ti @t11 @t465) @t242)) @t467))) @t464)))))) % 55.33/55.55 (assume @p203 (forall @t498 (=> @t497 (=> @t496 @t495)))) % 55.33/55.55 (assume @p204 (forall @t426 (=> (tptp.hBOOL (tptp.hAPP @t17 tptp.bool (tptp.hAPP @t19 @t27 @t26 @t350) @t352)) @t425))) % 55.33/55.55 (assume @p205 (forall @t424 (=> @t353 (=> @t423 (=> @t291 (and (=> @t503 (= @t418 @t295)) (=> @t504 (= @t418 @t502)))))))) % 55.33/55.55 (assume @p206 (forall @t424 (=> @t353 (=> @t423 (and (=> @t503 (= @t421 @t295)) (=> @t504 (= @t421 @t502))))))) % 55.33/55.55 (assume @p207 (forall @t22 (=> @t87 (forall @t509 (=> @t277 (=> @t423 (=> @t292 @t508))))))) % 55.33/55.55 (assume @p208 (forall @t22 (=> @t510 (forall @t509 (=> @t277 (=> @t423 @t508)))))) % 55.33/55.55 (assume @p209 (forall (@list @t1 @t236 @t189 @t223) (=> @t515 (=> @t514 @t512)))) % 55.33/55.55 (assume @p210 (forall @t517 (=> @t512 (not @t516)))) % 55.33/55.55 (assume @p211 (forall @t519 (=> @t423 @t518))) % 55.33/55.55 (assume @p212 (forall @t354 (=> @t489 @t520))) % 55.33/55.55 (assume @p213 (forall @t521 (= @t511 (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t11 @t11 @t478 (tptp.hAPP @t11 @t11 @t302 @t305)))))) % 55.33/55.55 (assume @p214 (forall @t517 (= @t512 (and @t515 @t514)))) % 55.33/55.55 (assume @p215 (forall @t521 (= (tptp.hAPP @t11 @t11 @t522 @t236) @t511))) % 55.33/55.55 (assume @p216 (forall @t517 (=> @t512 @t515))) % 55.33/55.55 (assume @p217 (forall @t517 (=> @t512 @t514))) % 55.33/55.55 (assume @p218 (forall (@list @t2 @t1 @t284 @t350 @t388 @t360 @t352) (=> @t497 @t520))) % 55.33/55.55 (assume @p219 (forall @t280 (= (tptp.hAPP @t11 @t11 (tptp.hAPP @t11 @t60 @t499 @t242) @t223) @t242))) % 55.33/55.55 (assume @p220 (forall @t280 (= (tptp.hAPP @t11 @t11 @t500 @t242) @t267))) % 55.33/55.55 (assume @p221 (forall @t280 (= (tptp.hAPP @t11 @t11 @t500 @t223) @t242))) % 55.33/55.55 (assume @p222 (forall @t521 (=> @t523 (= @t518 @t423)))) % 55.33/55.55 (assume @p223 (forall @t527 (and @t526 (=> @t290 (= @t525 (tptp.hAPP @t11 @t11 @t285 @t511)))))) % 55.33/55.55 (assume @p224 (forall @t527 @t526)) % 55.33/55.55 (assume @p225 (forall @t22 (=> @t87 (forall (@list @t224 @t227 @t223 @t284) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t531 @t284)) (=> @t226 (=> @t530 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t11 @t11 (tptp.hAPP @t1 @t60 @t529 @t224) (tptp.hAPP @t11 @t11 @t232 @t528)) @t284))))))))) % 55.33/55.55 (assume @p226 (forall @t533 (= @t532 (tptp.hAPP @t11 @t11 @t522 @t245)))) % 55.33/55.55 (assume @p227 (forall @t533 (= @t532 (tptp.hAPP @t11 @t11 (tptp.hAPP @t11 @t60 @t499 @t528) @t236)))) % 55.33/55.55 (assume @p228 (forall @t269 (= @t534 @t281))) % 55.33/55.55 (assume @p229 (forall @t300 (=> @t292 (= (tptp.hAPP @t11 @t11 @t524 @t321) @t267)))) % 55.33/55.55 (assume @p230 (forall @t269 (=> @t226 (= @t534 @t267)))) % 55.33/55.55 (assume @p231 (forall @t533 (= (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 @t532)) @t518))) % 55.33/55.55 (assume @p232 (forall @t22 (=> @t87 (forall (@list @t388 @t227 @t223 @t296) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t531 @t296)) (=> @t530 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t11 @t11 (tptp.hAPP @t1 @t60 @t529 @t388) @t233) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t82 @t388) @t296))))))))) % 55.33/55.55 (assume @p233 (forall @t424 (=> @t489 (=> @t423 (=> @t291 (= @t420 @t418)))))) % 55.33/55.55 (assume @p234 (forall @t498 (=> @t497 (=> @t496 (=> @t373 (= @t492 @t490)))))) % 55.33/55.55 (assume @p235 (forall @t22 (=> @t510 (forall @t541 (=> (forall @t429 (= (tptp.hAPP @t1 @t1 @t436 @t540) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t82 @t539) @t538))) (=> @t537 (=> @t536 (= (tptp.hAPP @t1 @t1 @t436 (tptp.hAPP @t11 @t1 @t505 @t408)) (tptp.hAPP @t11 @t1 @t505 @t535))))))))) % 55.33/55.55 (assume @p236 (forall @t22 (=> @t87 (forall @t439 (=> @t423 (=> @t277 (=> (forall @t429 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t1 @t55 @t167 @t540) @t427))) (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t1 @t55 @t167 @t506) @t223))))))))) % 55.33/55.55 (assume @p237 (forall (@list @t1 @t408 @t436 @t350 @t352) (=> @t489 (=> (forall @t429 (= (tptp.hAPP @t1 @t1 @t436 @t428) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t350 @t539) @t538))) (=> @t537 (=> @t536 (= (tptp.hAPP @t1 @t1 @t436 (tptp.hAPP @t11 @t1 @t352 @t408)) (tptp.hAPP @t11 @t1 @t352 @t535)))))))) % 55.33/55.55 (assume @p238 (forall (@list @t1 @t191 @t223) (=> @t423 (=> @t543 (=> (forall @t459 (=> @t462 (=> @t454 (=> @t542 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t191 (tptp.hAPP @t11 @t11 (tptp.hAPP @t11 @t60 @t499 @t451) (tptp.hAPP @t11 @t11 @t456 @t242)))))))) @t470))))) % 55.33/55.55 (assume @p239 (forall @t498 (=> @t546 (=> @t496 (= @t494 @t545))))) % 55.33/55.55 (assume @p240 (forall @t498 (=> @t546 (=> @t496 (=> @t373 (= @t490 @t545)))))) % 55.33/55.55 (assume @p241 (forall @t9 (=> @t74 (forall (@list @t223 @t236 @t284) (= (tptp.hAPP @t2 @t1 (tptp.hAPP @t6 @t6 (tptp.hAPP @t6 @t548 (tptp.minus_minus @t6) @t223) @t236) @t284) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t73 @t547) (tptp.hAPP @t2 @t1 @t236 @t284))))))) % 55.33/55.55 (assume @p242 (forall @t15 (=> (tptp.minus @t2) (forall (@list @t223 @t236 @t270) (= (tptp.hAPP @t1 @t2 (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t551 (tptp.minus_minus @t13) @t223) @t236) @t270) (tptp.hAPP @t2 @t2 (tptp.hAPP @t2 @t50 @t550 @t549) (tptp.hAPP @t1 @t2 @t236 @t270))))))) % 55.33/55.55 (assume @p243 (forall @t22 (tptp.hBOOL (tptp.hAPP @t154 tptp.bool @t554 @t553)))) % 55.33/55.55 (assume @p244 (forall (@list @t1 @t2 @t284 @t388 @t350) (=> @t556 (= (tptp.hAPP @t2 @t2 @t445 @t555) @t555)))) % 55.33/55.55 (assume @p245 (forall @t22 (tptp.hBOOL (tptp.hAPP @t154 tptp.bool @t554 @t153)))) % 55.33/55.55 (assume @p246 (forall @t22 (=> @t510 (tptp.hBOOL (tptp.hAPP @t19 tptp.bool @t557 @t82))))) % 55.33/55.55 (assume @p247 (forall (@list @t2 @t1 @t350 @t388 @t360 @t352) (=> @t546 (= (tptp.hAPP @t4 @t1 @t352 @t361) @t389)))) % 55.33/55.55 (assume @p248 (forall @t40 (=> @t563 (forall @t562 (= @t561 @t559))))) % 55.33/55.55 (assume @p249 (forall @t40 (=> @t563 (forall @t567 (= (tptp.hAPP @t29 @t29 @t566 @t564) @t565))))) % 55.33/55.55 (assume @p250 (forall @t40 (=> @t563 (forall @t570 (= (tptp.hAPP @t29 @t29 @t560 @t569) @t569))))) % 55.33/55.55 (assume @p251 (forall @t498 (=> @t546 (=> @t496 (=> (not @t373) @t495))))) % 55.33/55.55 (assume @p252 (forall (@list @t2 @t1 @t223 @t350 @t388 @t360 @t352) (=> @t546 (=> @t496 (=> (forall @t272 (=> @t391 (= @t571 @t389))) (= @t490 @t389)))))) % 55.33/55.55 (assume @p253 (forall (@list @t1 @t2 @t224 @t388 @t223 @t296 @t350) (=> @t574 (=> @t449 (=> @t226 (exists (@list @t572) (and (= @t573 (tptp.hAPP @t2 @t2 (tptp.hAPP @t1 @t50 @t350 @t224) @t572)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t11 @t4 @t440 @t528) @t572))))))))) % 55.33/55.55 (assume @p254 (forall @t450 (=> @t291 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t11 @t4 @t575 @t501) @t296)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t11 @t4 @t575 @t223) @t446)))))) % 55.33/55.55 (assume @p255 (forall @t15 (=> @t584 (forall @t583 (=> @t423 (and @t582 (=> @t266 (= @t579 @t578)))))))) % 55.33/55.55 (assume @p256 (forall @t15 (=> (tptp.ring @t2) (forall @t583 (=> @t423 @t582))))) % 55.33/55.55 (assume @p257 (forall @t15 (=> @t14 (forall @t591 (=> @t423 (= @t590 @t589)))))) % 55.33/55.55 (assume @p258 (forall @t15 (=> @t14 (forall @t591 (=> @t423 (=> @t291 (= @t592 @t589))))))) % 55.33/55.55 (assume @p259 (forall @t519 (=> @t423 (= @t594 (tptp.hAPP @t11 @t11 (tptp.hAPP @t11 @t60 (tptp.hAPP @t154 @t552 (tptp.finite_fold @t1 @t11) @t553) @t236) @t223))))) % 55.33/55.55 (assume @p260 (forall (@list @t1 @t2 @t284 @t388 @t223 @t350) (=> @t574 (=> @t423 (= @t599 @t596))))) % 55.33/55.55 (assume @p261 (forall (@list @t1 @t2 @t284 @t296 @t388 @t350) (=> @t574 (= (tptp.hAPP @t2 @t2 @t445 (tptp.hAPP @t2 @t2 @t600 @t388)) (tptp.hAPP @t2 @t2 @t600 @t555))))) % 55.33/55.55 (assume @p262 (forall @t611 (=> @t8 (forall @t610 (= (tptp.hAPP @t4 @t1 (tptp.hAPP @t6 @t5 @t3 (tptp.hAPP @t395 @t6 (tptp.hAPP @t606 @t609 @t608 (tptp.hAPP @t602 @t606 @t607 @t350)) @t236)) @t223) (tptp.hAPP @t395 @t1 (tptp.hAPP @t393 @t605 @t604 (tptp.hAPP @t4 @t393 (tptp.hAPP @t603 (tptp.fun @t4 @t393) (tptp.combc @t392 @t4 @t1) (tptp.hAPP @t601 @t603 (tptp.hAPP @t7 (tptp.fun @t601 @t603) (tptp.combb @t6 @t5 @t392) @t3) (tptp.hAPP @t602 @t601 (tptp.combc @t2 @t392 @t1) @t350))) @t223)) @t236)))))) % 55.33/55.55 (assume @p263 (forall (@list @t1 @t2 @t388 @t223 @t296 @t350) (=> @t574 (=> @t449 (= @t598 @t573))))) % 55.33/55.55 (assume @p264 (forall @t442 (= (tptp.hAPP @t4 @t1 @t613 @t361) @t389))) % 55.33/55.55 (assume @p265 (forall @t616 (=> @t574 (=> @t423 (=> @t292 @t615))))) % 55.33/55.55 (assume @p266 (forall @t616 (=> @t574 (=> @t423 (=> @t292 @t617))))) % 55.33/55.55 (assume @p267 (forall (@list @t1 @t2 @t388 @t223 @t350) (=> @t574 (=> @t423 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t448 @t598)))))) % 55.33/55.55 (assume @p268 (forall @t9 (=> @t626 (forall @t625 (= (tptp.hAPP @t4 @t1 (tptp.hAPP @t6 @t5 @t618 (tptp.hAPP @t6 @t6 (tptp.hAPP @t612 @t548 @t624 @t623) @t360)) @t223) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t82 (tptp.hAPP @t4 @t1 @t620 @t223)) (tptp.hAPP @t4 @t1 @t619 @t223))))))) % 55.33/55.55 (assume @p269 (forall @t611 (=> @t631 (forall (@list @t350 @t223 @t360 @t236) (= (tptp.hAPP @t1 @t1 @t630 (tptp.hAPP @t395 @t1 (tptp.hAPP @t393 @t605 @t604 @t360) @t236)) (tptp.hAPP @t4 @t1 (tptp.hAPP @t6 @t5 @t3 (tptp.hAPP @t395 @t6 (tptp.hAPP @t606 @t609 @t608 (tptp.hAPP @t602 @t606 @t607 (tptp.hAPP @t393 @t602 (tptp.hAPP @t628 (tptp.fun @t393 @t602) (tptp.combc @t2 @t393 @t393) (tptp.hAPP @t612 @t628 (tptp.hAPP (tptp.fun @t18 @t627) (tptp.fun @t612 @t628) (tptp.combb @t18 @t627 @t2) (tptp.combb @t1 @t1 @t392)) @t623)) @t360))) @t236)) @t223)))))) % 55.33/55.55 (assume @p270 (forall @t9 (=> @t631 (forall (@list @t350 @t223 @t632) (= (tptp.hAPP @t1 @t1 @t630 @t632) (tptp.hAPP @t4 @t1 (tptp.hAPP @t6 @t5 @t3 (tptp.hAPP @t1 @t6 (tptp.hAPP @t612 (tptp.fun @t1 @t6) (tptp.combc @t2 @t1 @t1) @t623) @t632)) @t223)))))) % 55.33/55.55 (assume @p271 (forall @t9 (=> @t631 (forall (@list @t632 @t350 @t223) (= (tptp.hAPP @t1 @t1 @t633 @t629) (tptp.hAPP @t4 @t1 (tptp.hAPP @t6 @t5 @t3 (tptp.hAPP @t6 @t6 (tptp.hAPP @t18 @t548 @t634 @t633) @t350)) @t223)))))) % 55.33/55.55 (assume @p272 (forall @t9 (=> @t94 (forall @t625 (= (tptp.hAPP @t4 @t1 (tptp.hAPP @t6 @t5 @t3 (tptp.hAPP @t6 @t6 (tptp.hAPP @t612 @t548 @t624 (tptp.hAPP @t6 @t612 (tptp.hAPP @t19 @t622 @t621 @t73) @t350)) @t360)) @t223) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t73 @t629) @t635)))))) % 55.33/55.55 (assume @p273 (forall @t442 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t11 @t4 @t575 @t242) @t388)))) % 55.33/55.55 (assume @p274 (forall @t22 (=> @t87 (tptp.hBOOL (tptp.hAPP @t19 tptp.bool (tptp.finite100568337ommute @t1 @t1) @t82))))) % 55.33/55.55 (assume @p275 (forall (@list @t1 @t2 @t296 @t388 @t223 @t284 @t350) (=> @t574 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t448 @t284)) (=> @t449 (= @t573 @t444)))))) % 55.33/55.55 (assume @p276 (forall @t15 (=> @t14 (forall @t641 (=> @t423 (= (tptp.hAPP @t11 @t2 (tptp.hAPP @t13 @t12 @t10 (tptp.hAPP @t13 @t13 (tptp.hAPP @t51 @t551 @t640 (tptp.hAPP @t13 @t51 (tptp.hAPP @t639 @t638 @t637 @t587) @t360)) @t436)) @t223) (tptp.hAPP @t2 @t2 (tptp.hAPP @t2 @t50 @t587 @t592) @t636))))))) % 55.33/55.55 (assume @p277 (forall @t616 (=> @t574 (=> @t423 (=> @t291 (= @t598 @t642)))))) % 55.33/55.55 (assume @p278 (forall @t616 (=> @t574 (=> @t423 (= @t614 @t642))))) % 55.33/55.55 (assume @p279 (forall @t15 (=> @t14 (forall @t583 (=> @t423 (=> @t266 (= (tptp.hAPP @t11 @t2 @t643 @t281) (tptp.hAPP @t2 @t2 (tptp.hAPP @t2 @t50 @t587 @t580) @t644)))))))) % 55.33/55.55 (assume @p280 (forall @t15 (=> @t14 (forall @t591 (=> @t423 (=> @t292 (= @t590 (tptp.hAPP @t2 @t2 @t588 @t592)))))))) % 55.33/55.55 (assume @p281 (forall (@list @t1 @t350 @t224 @t223) (and (=> @t226 (= @t649 (tptp.hAPP tptp.nat tptp.nat @t652 (tptp.hAPP @t1 tptp.nat @t350 @t224)))) (=> @t266 (= @t649 @t648))))) % 55.33/55.55 (assume @p282 (forall @t480 (= (tptp.hAPP @t4 @t1 @t613 @t223) (tptp.hAPP @t11 @t1 @t95 (tptp.hAPP @t4 @t11 (tptp.hAPP @t1 @t367 (tptp.hAPP @t612 (tptp.fun @t1 @t367) (tptp.finite_fold_graph @t2 @t1) @t350) @t388) @t223))))) % 55.33/55.55 (assume @p283 (forall @t616 (=> @t556 (=> @t423 @t615)))) % 55.33/55.55 (assume @p284 (forall @t616 (=> @t556 (=> @t423 @t617)))) % 55.33/55.55 (assume @p285 (forall @t424 (=> @t353 (=> @t423 (=> @t292 (= @t421 (tptp.hAPP @t11 @t1 (tptp.hAPP @t1 @t17 @t654 @t284) @t223))))))) % 55.33/55.55 (assume @p286 (forall (@list @t1 @t224 @t223 @t350 @t352) (=> @t489 (=> @t423 (= (tptp.hAPP @t11 @t1 @t352 @t281) (tptp.hAPP @t11 @t1 (tptp.hAPP @t1 @t17 @t654 @t224) @t223)))))) % 55.33/55.55 (assume @p287 (forall @t22 (=> @t87 (forall @t656 (=> @t423 (=> @t266 @t655)))))) % 55.33/55.55 (assume @p288 (forall @t22 (=> @t510 (forall @t656 (=> @t423 @t655))))) % 55.33/55.55 (assume @p289 (forall (@list @t1 @t2 @t388 @t284 @t223 @t657 @t350) (=> @t574 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t447 @t657)) (=> @t292 (not (forall @t332 (=> (= (tptp.ti @t2 @t657) (tptp.hAPP @t2 @t2 @t445 @t330)) (not (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t448 @t330))))))))))) % 55.33/55.55 (assume @p290 (forall (@list @t392 @t1 @t2) (=> @t668 (forall (@list @t360 @t350 @t658) (=> @t667 (= (tptp.hAPP @t11 @t2 @t666 @t658) (tptp.hAPP @t395 @t2 (tptp.hAPP @t394 (tptp.fun @t395 @t2) (tptp.big_co1399186613setsum @t392 @t2) (tptp.hAPP @t661 @t394 (tptp.hAPP @t12 (tptp.fun @t661 @t394) (tptp.combb @t11 @t2 @t392) @t666) (tptp.hAPP @t661 @t661 (tptp.hAPP @t60 @t665 @t664 @t151) (tptp.hAPP @t661 @t661 (tptp.hAPP @t60 @t665 @t664 @t663) (tptp.hAPP @t660 @t661 (tptp.combc @t1 @t392 tptp.bool) (tptp.hAPP @t659 @t660 (tptp.hAPP (tptp.fun @t392 @t395) (tptp.fun @t659 @t660) (tptp.combb @t392 @t395 @t1) (tptp.fequal @t392)) @t350)))))) (tptp.hAPP @t11 @t395 (tptp.hAPP @t659 (tptp.fun @t11 @t395) (tptp.image @t1 @t392) @t350) @t658)))))))) % 55.33/55.55 (assume @p291 (forall @t15 (=> @t14 (forall @t641 (=> @t423 (=> @t670 (= @t592 @t636))))))) % 55.33/55.55 (assume @p292 (forall @t15 (=> @t668 (forall @t641 (=> @t423 (=> @t670 (= @t672 @t671))))))) % 55.33/55.55 (assume @p293 (forall (@list @t2 @t1 @t392) (=> (tptp.comm_monoid_add @t392) (forall (@list @t350 @t324 @t673 @t658) (=> @t667 (=> @t695 (= (tptp.hAPP @t11 @t392 (tptp.hAPP @t659 @t681 @t680 (tptp.hAPP @t473 @t659 (tptp.hAPP @t694 (tptp.fun @t473 @t659) (tptp.combs @t1 @t4 @t392) (tptp.hAPP @t679 @t694 (tptp.hAPP (tptp.fun @t678 @t684) (tptp.fun @t679 @t694) (tptp.combb @t678 @t684 @t1) @t683) @t350)) @t693)) @t658) (tptp.hAPP @t4 @t392 (tptp.hAPP @t678 @t684 @t683 (tptp.hAPP @t475 @t678 (tptp.hAPP @t682 (tptp.fun @t475 @t678) (tptp.combs @t2 @t11 @t392) (tptp.hAPP @t677 @t682 (tptp.hAPP (tptp.fun @t659 @t681) (tptp.fun @t677 @t682) (tptp.combb @t659 @t681 @t2) @t680) (tptp.hAPP @t679 @t677 (tptp.combc @t1 @t2 @t392) @t350))) (tptp.hAPP @t475 @t475 (tptp.hAPP @t60 @t676 @t675 @t151) (tptp.hAPP @t475 @t475 (tptp.hAPP @t60 @t676 @t675 @t663) @t674)))) @t673)))))))) % 55.33/55.55 (assume @p294 (forall @t15 (=> @t668 (forall @t591 (=> @t423 (=> @t291 (= @t672 @t698))))))) % 55.33/55.55 (assume @p295 (forall @t15 (=> @t668 (forall @t583 (=> @t423 (=> @t226 (= @t578 (tptp.hAPP @t2 @t2 @t699 @t579)))))))) % 55.33/55.55 (assume @p296 (forall @t15 (=> @t668 (forall @t591 (=> @t423 (= @t700 @t698)))))) % 55.33/55.55 (assume @p297 (forall @t9 (=> @t8 (forall @t625 (= (tptp.hAPP @t4 @t1 (tptp.hAPP @t6 @t5 @t3 (tptp.hAPP @t6 @t6 (tptp.hAPP @t612 @t548 @t624 (tptp.hAPP @t6 @t612 (tptp.hAPP @t19 @t622 @t621 @t701) @t350)) @t360)) @t223) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t701 @t629) @t635)))))) % 55.33/55.55 (assume @p298 (forall @t15 (=> @t668 (forall @t641 (=> @t423 (= (tptp.hAPP @t11 @t2 (tptp.hAPP @t13 @t12 @t576 (tptp.hAPP @t13 @t13 (tptp.hAPP @t51 @t551 @t640 (tptp.hAPP @t13 @t51 (tptp.hAPP @t639 @t638 @t637 @t696) @t360)) @t436)) @t223) (tptp.hAPP @t2 @t2 (tptp.hAPP @t2 @t50 @t696 @t672) @t671))))))) % 55.33/55.55 (assume @p299 (forall @t15 (=> @t668 (forall (@list @t350 @t224 @t352) (=> @t438 (=> (not (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t225 @t352))) (= (tptp.hAPP @t11 @t2 @t577 (tptp.hAPP @t11 @t11 @t244 @t352)) (tptp.hAPP @t2 @t2 @t699 (tptp.hAPP @t11 @t2 @t577 @t352))))))))) % 55.33/55.55 (assume @p300 (forall @t15 (=> @t668 (forall @t591 (=> @t423 (=> @t292 (= @t700 (tptp.hAPP @t2 @t2 @t697 @t672)))))))) % 55.33/55.55 (assume @p301 (forall @t22 (=> @t710 (forall @t709 (= @t708 (= @t316 @t703)))))) % 55.33/55.55 (assume @p302 (forall @t22 (=> @t710 (forall @t709 (= @t708 (= @t712 @t319)))))) % 55.33/55.55 (assume @p303 (forall @t40 (=> @t716 (forall @t570 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t77 @t715) @t568) @t559))))) % 55.33/55.55 (assume @p304 (forall @t40 (=> @t716 (forall @t570 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t713 @t718) @t568) @t559))))) % 55.33/55.55 (assume @p305 (forall @t22 (=> @t721 (forall (@list @t719 @t296 @t284 @t388) (= (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t701 (tptp.hAPP @t1 @t1 @t720 @t296)) (tptp.hAPP @t1 @t1 @t507 @t388)) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t701 (tptp.hAPP @t1 @t1 @t720 @t388)) (tptp.hAPP @t1 @t1 @t507 @t296))) (or (= (tptp.ti @t1 @t719) @t295) (= @t297 @t389))))))) % 55.33/55.55 (assume @p306 (forall @t40 (=> @t86 (forall (@list @t558 @t723 @t568 @t722) (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t77 (tptp.hAPP @t29 @t29 @t560 @t723)) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t77 (tptp.hAPP @t29 @t29 @t725 @t723)) @t722)) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t77 (tptp.hAPP @t29 @t29 @t724 @t723)) @t722)))))) % 55.33/55.55 (assume @p307 (forall @t40 (=> @t729 (forall (@list @t558 @t726 @t568) (= (tptp.hAPP @t29 @t29 @t728 (tptp.hAPP @t29 @t29 @t725 @t726)) (tptp.hAPP @t29 @t29 @t724 @t726)))))) % 55.33/55.55 (assume @p308 (forall @t40 (=> @t81 (forall @t735 (=> (= (tptp.hAPP @t29 @t29 @t734 @t558) @t733) @t731))))) % 55.33/55.55 (assume @p309 (forall @t40 (=> (tptp.cancel146912293up_add @t29) @t738))) % 55.33/55.55 (assume @p310 (forall @t40 (=> @t81 @t738))) % 55.33/55.55 (assume @p311 (forall @t40 (=> @t729 (forall (@list @t558 @t568 @t722 @t739) (= (tptp.hAPP @t29 @t29 @t743 @t742) (tptp.hAPP @t29 @t29 @t741 @t740)))))) % 55.33/55.55 (assume @p312 (forall @t22 (=> @t747 (forall (@list @t227 @t224 @t189) (= (= (tptp.hAPP @t1 @t1 @t746 @t224) @t745) @t317))))) % 55.33/55.55 (assume @p313 (forall @t22 (=> @t747 (forall @t750 (= (= (tptp.hAPP @t1 @t1 @t748 @t227) @t749) @t317))))) % 55.33/55.55 (assume @p314 (forall @t40 (=> @t729 (forall @t737 (= @t751 (tptp.hAPP @t29 @t29 @t741 @t568)))))) % 55.33/55.55 (assume @p315 (forall @t40 (=> @t80 @t753))) % 55.33/55.55 (assume @p316 (forall @t40 (=> @t729 @t753))) % 55.33/55.55 (assume @p317 (forall @t40 (=> @t729 (forall @t755 (= @t754 (tptp.hAPP @t29 @t29 @t741 @t739)))))) % 55.33/55.55 (assume @p318 (forall @t40 (=> @t729 (forall @t755 (= @t754 (tptp.hAPP @t29 @t29 @t732 (tptp.hAPP @t29 @t29 @t717 @t739))))))) % 55.33/55.55 (assume @p319 (forall @t40 (=> @t729 (forall (@list @t558 @t722) (= @t736 @t733))))) % 55.33/55.55 (assume @p320 (forall @t40 (=> @t729 (forall @t767 (= @t766 (tptp.hAPP @t29 @t29 @t762 (tptp.hAPP @t29 @t29 @t758 @t756))))))) % 55.33/55.55 (assume @p321 (forall @t40 (=> @t729 (forall @t767 (= @t766 (tptp.hAPP @t29 @t29 @t763 (tptp.hAPP @t29 @t29 @t765 @t756))))))) % 55.33/55.55 (assume @p322 (forall @t40 (=> @t729 (forall @t767 (= @t766 (tptp.hAPP @t29 @t29 @t761 (tptp.hAPP @t29 @t29 @t758 @t764))))))) % 55.33/55.55 (assume @p323 (forall @t40 (=> @t729 (forall @t769 (= @t768 (tptp.hAPP @t29 @t29 @t762 @t757)))))) % 55.33/55.55 (assume @p324 (forall @t40 (=> @t729 (forall @t769 (= @t768 (tptp.hAPP @t29 @t29 @t761 (tptp.hAPP @t29 @t29 @t758 @t759))))))) % 55.33/55.55 (assume @p325 (forall @t40 (=> (tptp.ab_semigroup_mult @t29) (forall @t737 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t85 @t569) @t722) (tptp.hAPP @t29 @t29 @t560 @t770)))))) % 55.33/55.55 (assume @p326 (forall @t40 (=> @t729 (forall @t772 (= @t771 (tptp.hAPP @t29 @t29 @t762 @t756)))))) % 55.33/55.55 (assume @p327 (forall @t40 (=> @t729 (forall @t772 (= @t771 (tptp.hAPP @t29 @t29 @t763 (tptp.hAPP @t29 @t29 @t761 @t756))))))) % 55.33/55.55 (assume @p328 (forall @t40 (=> @t729 (forall @t570 (= @t569 @t773))))) % 55.33/55.55 (assume @p329 (forall @t22 (=> @t94 (forall @t776 (=> @t775 (= @t230 @t774)))))) % 55.33/55.55 (assume @p330 (forall @t40 (=> @t729 (forall @t781 (= (tptp.hAPP @t29 @t29 @t566 @t780) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t77 @t779) (tptp.hAPP @t29 @t29 @t566 @t777))))))) % 55.33/55.55 (assume @p331 (forall @t22 (=> @t721 (forall (@list @t189 @t318 @t224 @t227) (= (and @t231 (not @t774)) (not (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t701 @t783) (tptp.hAPP @t1 @t1 @t704 @t318)) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t701 (tptp.hAPP @t1 @t1 @t706 @t318)) @t782)))))))) % 55.33/55.55 (assume @p332 (forall @t40 (=> (tptp.comm_semiring @t29) @t785))) % 55.33/55.55 (assume @p333 (forall @t40 (=> @t729 @t785))) % 55.33/55.55 (assume @p334 (forall @t15 (=> @t14 (forall @t789 (=> @t283 (=> @t788 (= @t644 @t786))))))) % 55.33/55.55 (assume @p335 (forall @t15 (=> @t14 (forall @t791 (=> @t283 (=> @t790 (= @t636 @t786))))))) % 55.33/55.55 (assume @p336 (forall @t15 (=> @t668 (forall @t625 (=> (forall @t272 (=> @t279 @t401)) (= @t578 @t672)))))) % 55.33/55.55 (assume @p337 (forall @t15 (=> @t668 (forall @t789 (=> @t283 (=> @t788 (= @t578 @t792))))))) % 55.33/55.55 (assume @p338 (forall @t15 (=> @t668 (forall @t791 (=> @t283 (=> @t790 (= @t671 @t792))))))) % 55.33/55.55 (assume @p339 (forall @t22 (=> @t145 (forall @t796 (= (tptp.hAPP @t11 @t11 (tptp.hAPP @t11 @t60 @t499 @t794) @t795) @t794))))) % 55.33/55.55 (assume @p340 (forall (@list @t1 @t350 @t223 @t236) (=> @t523 (=> @t799 (= (tptp.hAPP @t11 tptp.nat @t647 @t511) (tptp.hAPP tptp.nat tptp.nat @t652 (tptp.hAPP @t11 tptp.nat @t647 @t236))))))) % 55.33/55.55 (assume @p341 (forall @t40 (=> @t802 (forall @t567 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t801 @t564)))))) % 55.33/55.55 (assume @p342 (forall @t521 (=> @t804 (=> @t799 @t283)))) % 55.33/55.55 (assume @p343 (forall @t517 (=> @t804 @t516))) % 55.33/55.55 (assume @p344 (forall @t280 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 @t242) @t223)))) % 55.33/55.55 (assume @p345 (forall @t280 (=> @t423 (tptp.hBOOL (tptp.hAPP @t55 tptp.bool (tptp.finite_finite_1 @t11) (tptp.hAPP @t55 @t55 (tptp.collect @t11) (tptp.hAPP @t11 @t55 (tptp.hAPP @t805 @t805 (tptp.combc @t11 @t11 tptp.bool) @t797) @t223))))))) % 55.33/55.55 (assume @p346 (forall (@list @t1 @t324 @t658) (= (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 (tptp.hAPP @t11 @t11 @t304 @t324)) @t662)) (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 @t324) @t658))))) % 55.33/55.55 (assume @p347 (forall @t40 (=> @t810 (forall @t809 (=> (not @t808) @t807))))) % 55.33/55.55 (assume @p348 (forall @t15 (=> @t132 (forall (@list @t284 @t350 @t360) (=> @t813 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t4 @t130 @t385) @t586))))))) % 55.33/55.55 (assume @p349 (forall @t40 (=> @t818 (forall @t817 (=> @t807 (=> @t816 @t815)))))) % 55.33/55.55 (assume @p350 (forall @t40 (=> @t818 (forall @t821 (=> @t807 (=> @t808 @t820)))))) % 55.33/55.55 (assume @p351 (forall @t40 (=> @t802 (forall @t824 (=> @t808 (=> @t823 @t822)))))) % 55.33/55.55 (assume @p352 (forall @t40 (=> @t818 (forall @t809 (=> @t808 (=> @t807 @t820)))))) % 55.33/55.55 (assume @p353 (forall @t40 (=> @t818 (forall @t829 (=> @t828 (=> @t731 @t826)))))) % 55.33/55.55 (assume @p354 (forall @t40 (=> @t135 (forall @t833 (=> @t832 (=> @t731 @t831)))))) % 55.33/55.55 (assume @p355 (forall @t40 (=> @t818 (forall @t833 (=> @t834 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t825 @t568)) @t826)))))) % 55.33/55.55 (assume @p356 (forall @t40 (=> @t135 (forall @t833 (=> @t834 (=> @t835 @t831)))))) % 55.33/55.55 (assume @p357 (forall @t22 (=> @t145 (forall @t843 (=> @t842 @t840))))) % 55.33/55.55 (assume @p358 (forall @t40 (=> @t802 (forall @t809 (=> @t844 @t808))))) % 55.33/55.55 (assume @p359 (forall @t22 (=> @t145 (forall @t845 (= @t836 (and @t839 @t842)))))) % 55.33/55.55 (assume @p360 (forall @t40 (=> @t810 (forall @t809 (or @t808 @t807))))) % 55.33/55.55 (assume @p361 (forall @t15 (=> @t132 (forall @t848 (= @t813 @t847))))) % 55.33/55.55 (assume @p362 (forall @t521 (=> @t283 (not (=> @t804 (not @t799)))))) % 55.33/55.55 (assume @p363 (forall @t851 (=> @t804 (=> @t850 @t849)))) % 55.33/55.55 (assume @p364 (forall @t852 (=> @t804 (=> @t291 @t289)))) % 55.33/55.55 (assume @p365 (forall @t293 (=> @t291 (=> @t804 @t289)))) % 55.33/55.55 (assume @p366 (forall @t521 (=> @t283 @t799))) % 55.33/55.55 (assume @p367 (forall @t521 (=> @t283 @t804))) % 55.33/55.55 (assume @p368 (forall @t521 (= @t283 (and @t804 @t799)))) % 55.33/55.55 (assume @p369 (forall @t280 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t803 @t223)))) % 55.33/55.55 (assume @p370 (forall (@list @t1 @t284 @t191 @t188) (=> @t855 (=> @t854 @t853)))) % 55.33/55.55 (assume @p371 (forall (@list @t1 @t188 @t191 @t284) (=> @t854 (=> @t855 @t853)))) % 55.33/55.55 (assume @p372 (forall @t22 (=> @t21 (forall @t845 (= (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 @t857) @t856)) @t839))))) % 55.33/55.55 (assume @p373 (forall @t22 (=> @t21 (forall @t845 (= (= @t857 @t856) @t836))))) % 55.33/55.55 (assume @p374 (forall @t40 (=> @t860 (forall @t833 (=> @t859 @t832))))) % 55.33/55.55 (assume @p375 (forall @t40 (=> @t860 (forall @t863 (=> @t862 @t832))))) % 55.33/55.55 (assume @p376 (forall @t40 (=> @t866 (forall @t865 (=> @t832 (=> @t864 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t861 @t740)))))))) % 55.33/55.55 (assume @p377 (forall @t40 (=> @t866 (forall @t833 (=> @t832 @t859))))) % 55.33/55.55 (assume @p378 (forall @t40 (=> @t866 (forall @t833 (=> @t832 @t862))))) % 55.33/55.55 (assume @p379 (forall @t22 (=> @t871 (forall @t870 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t745) @t869)) @t868))))) % 55.33/55.55 (assume @p380 (forall @t22 (=> @t871 (forall @t873 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t749) @t872)) @t868))))) % 55.33/55.55 (assume @p381 (forall @t40 (=> @t875 (forall @t562 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t830 @t874)) (= @t559 @t874)))))) % 55.33/55.55 (assume @p382 (forall @t22 (=> @t123 (forall @t877 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t867 @t122)) @t876))))) % 55.33/55.55 (assume @p383 (forall @t40 (=> @t875 (forall @t562 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t800 @t874) @t558)))))) % 55.33/55.55 (assume @p384 (forall @t22 (=> @t880 (forall @t776 (=> @t775 (= @t868 @t879)))))) % 55.33/55.55 (assume @p385 (forall @t280 (= (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t803 @t242)) @t268))) % 55.33/55.55 (assume @p386 (forall @t521 (=> @t804 (=> @t523 @t423)))) % 55.33/55.55 (assume @p387 (forall @t521 (=> @t523 (=> @t804 @t423)))) % 55.33/55.55 (assume @p388 (forall (@list @t1 @t224 @t190 @t881) (=> (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 @t190) @t881)) (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 (tptp.hAPP @t11 @t11 @t244 @t190)) (tptp.hAPP @t11 @t11 @t244 @t881)))))) % 55.33/55.55 (assume @p389 (forall (@list @t1 @t227 @t223 @t236) (=> @t804 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t803 @t237))))) % 55.33/55.55 (assume @p390 (forall @t293 (=> @t292 (= @t882 @t804)))) % 55.33/55.55 (assume @p391 (forall @t852 (= (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 @t287) @t236)) (and @t289 @t804)))) % 55.33/55.55 (assume @p392 (forall (@list @t1 @t236 @t224) (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t798 @t307)))) % 55.33/55.55 (assume @p393 (forall @t885 (=> @t804 (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t884 (tptp.hAPP @t11 @t4 @t383 @t236)))))) % 55.33/55.55 (assume @p394 (forall (@list @t1 @t2 @t236 @t350 @t223) (= @t887 (exists (@list @t886) (and (tptp.hBOOL (tptp.hAPP @t4 tptp.bool (tptp.hAPP @t4 @t372 @t883 @t886) @t223)) (= @t282 (tptp.hAPP @t4 @t11 @t368 @t886))))))) % 55.33/55.55 (assume @p395 (forall @t851 (=> @t804 (=> @t850 (= (tptp.hAPP @t11 @t11 @t593 (tptp.hAPP @t11 @t11 @t888 @t223)) @t267))))) % 55.33/55.55 (assume @p396 (forall (@list @t1 @t881 @t236 @t223 @t190) (=> @t849 (=> (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 @t881) @t236)) (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t889 (tptp.hAPP @t11 @t11 @t888 @t881))))))) % 55.33/55.55 (assume @p397 (forall @t521 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t889 @t223)))) % 55.33/55.55 (assume @p398 (forall (@list @t1 @t181 @t173 @t890) (=> (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t174 @t890)) (=> (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t891 @t890)) @t182)))) % 55.33/55.55 (assume @p399 (forall (@list @t1 @t181 @t173) (=> (tptp.hBOOL (tptp.hAPP @t99 tptp.bool @t891 @t173)) @t182))) % 55.33/55.55 (assume @p400 (forall (@list @t1 @t223 @t284) (=> (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t803 @t321)) (or @t268 (= @t267 @t321))))) % 55.33/55.55 (assume @p401 (forall (@list @t2 @t1 @t236 @t350 @t223) (=> @t423 (=> (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t892 @t384)) (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t437 @t236)))))) % 55.33/55.55 (assume @p402 (forall (@list @t1 @t2 @t350 @t223 @t236) (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 (tptp.hAPP @t11 @t11 (tptp.hAPP @t11 @t60 @t499 @t369) @t404)) (tptp.hAPP @t4 @t11 @t368 (tptp.hAPP @t4 @t4 @t544 @t236)))))) % 55.33/55.55 (assume @p403 (forall (@list @t2 @t1 @t236 @t223 @t350 @t388 @t360 @t352) (=> @t497 (=> @t496 (=> (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t892 @t223)) (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t350 (tptp.hAPP @t4 @t1 @t352 @t236)) @t490) @t490)))))) % 55.33/55.55 (assume @p404 (forall @t22 (=> @t894 (forall @t709 (= @t893 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t712) @t318))))))) % 55.33/55.55 (assume @p405 (forall @t22 (=> @t894 (forall @t709 (= @t893 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t878 @t703))))))) % 55.33/55.55 (assume @p406 (forall @t527 (=> @t895 (=> @t291 @t882)))) % 55.33/55.55 (assume @p407 (forall @t527 (= @t882 (and (=> @t291 @t895) @t896)))) % 55.33/55.55 (assume @p408 (forall (@list @t1 @t236 @t223 @t350 @t352) (=> @t489 (=> @t423 (=> @t897 (=> @t799 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t350 (tptp.hAPP @t11 @t1 @t352 @t236)) @t418) @t418))))))) % 55.33/55.55 (assume @p409 (forall @t15 (=> @t584 (forall @t610 (=> @t423 (=> @t799 (= (tptp.hAPP @t11 @t2 @t577 @t511) (tptp.hAPP @t2 @t2 @t581 (tptp.hAPP @t11 @t2 @t577 @t236))))))))) % 55.33/55.55 (assume @p410 (forall (@list @t1 @t191 @t223 @t352) (=> @t438 (=> (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 @t352) @t223)) (=> @t470 (=> (forall (@list @t452 @t465) (=> @t468 (=> (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t453 @t223)) (=> (not (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t453 @t465))) (=> @t466 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t191 (tptp.hAPP @t11 @t11 @t456 @t465)))))))) @t464)))))) % 55.33/55.55 (assume @p411 (forall @t519 (=> (forall @t272 (=> @t279 @t787)) @t804))) % 55.33/55.55 (assume @p412 (forall @t885 (=> @t523 (=> @t887 (exists (@list @t898) (and (tptp.hBOOL (tptp.hAPP @t4 tptp.bool (tptp.hAPP @t4 @t372 @t883 @t898) @t223)) (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t437 @t898)) (= @t282 (tptp.hAPP @t4 @t11 @t368 @t898)))))))) % 55.33/55.55 (assume @p413 (forall @t15 (=> (and @t668 @t904) (forall (@list @t350 @t360 @t899) (=> (forall @t903 (=> (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t902 @t899)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t901 (tptp.hAPP @t1 @t2 @t360 @t900))))) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t4 @t130 (tptp.hAPP @t11 @t2 @t577 @t899)) (tptp.hAPP @t11 @t2 @t666 @t899)))))))) % 55.33/55.55 (assume @p414 (forall (@list @t2 @t1 @t350 @t236 @t223) (=> (forall @t272 (=> @t279 (tptp.hBOOL (tptp.hAPP @t4 tptp.bool (tptp.hAPP @t2 @t372 @t371 @t400) @t236)))) (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t884 @t236))))) % 55.33/55.55 (assume @p415 (forall @t15 (=> @t132 (forall @t848 (=> @t847 @t813))))) % 55.33/55.55 (assume @p416 (forall (@list @t1 @t223 @t227) (and (=> @t906 (= @t905 @t228)) (=> (not @t906) (= @t905 (tptp.hAPP @t11 @t1 @t95 (tptp.hAPP @t11 @t11 @t304 (tptp.hAPP @t11 @t11 @t500 @t311)))))))) % 55.33/55.55 (assume @p417 (forall (@list @t907 @t188 @t191) (=> (forall @t272 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 (tptp.hAPP tptp.nat tptp.nat @t188 @t270)) (tptp.hAPP tptp.nat tptp.nat @t191 @t270)))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 (tptp.hAPP @t148 tptp.nat (tptp.hAPP @t651 @t912 @t911 @t191) @t909)) (tptp.hAPP @t148 tptp.nat (tptp.hAPP @t651 @t912 @t911 @t188) @t909)) (tptp.hAPP @t148 tptp.nat (tptp.hAPP @t651 @t912 @t911 (tptp.hAPP @t651 @t651 (tptp.hAPP @t910 (tptp.fun @t651 @t651) (tptp.combs tptp.nat tptp.nat tptp.nat) (tptp.hAPP @t651 @t910 (tptp.hAPP @t910 (tptp.fun @t651 @t910) (tptp.combb tptp.nat @t651 tptp.nat) @t650) @t191)) @t188)) @t909))))) % 55.33/55.55 (assume @p418 (forall @t22 (=> @t21 (forall @t917 (=> @t277 (=> @t804 (=> @t523 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 (tptp.hAPP @t11 @t1 @t915 @t236)) @t916))))))))) % 55.33/55.55 (assume @p419 (forall @t434 (=> @t918 @t855))) % 55.33/55.55 (assume @p420 (forall @t434 (=> @t918 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 @t274) @t431))))) % 55.33/55.55 (assume @p421 (forall @t22 (=> @t21 (forall @t922 (=> @t921 (=> @t920 (=> @t537 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t919) (tptp.hAPP @t11 @t1 @t25 @t409)))))))))) % 55.33/55.55 (assume @p422 (forall @t22 (=> @t21 (forall @t922 (=> @t921 (=> @t920 (=> @t537 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 (tptp.hAPP @t11 @t1 @t24 @t409)) @t923))))))))) % 55.33/55.55 (assume @p423 (forall @t796 (tptp.hBOOL (tptp.hAPP @t148 tptp.bool @t924 (tptp.hAPP tptp.nat @t148 @t908 @t793))))) % 55.33/55.55 (assume @p424 (forall @t796 (tptp.hBOOL (tptp.hAPP @t148 tptp.bool @t924 (tptp.hAPP @t148 @t148 @t926 (tptp.hAPP tptp.nat @t148 (tptp.hAPP @t149 @t149 @t925 @t913) @t793)))))) % 55.33/55.55 (assume @p425 (forall @t933 (= @t932 (exists @t931 (forall @t272 (=> @t930 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 @t270) @t927)))))))) % 55.33/55.55 (assume @p426 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t291 (= @t936 @t934))))))) % 55.33/55.55 (assume @p427 (forall @t40 (=> @t810 (forall @t567 (= (tptp.hAPP @t29 @t29 @t937 @t564) @t565))))) % 55.33/55.55 (assume @p428 (forall @t40 (=> @t810 (forall @t781 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t134 @t941) @t777) @t940))))) % 55.33/55.55 (assume @p429 (forall @t40 (=> @t810 (forall @t737 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t134 @t945) @t722) @t944))))) % 55.33/55.55 (assume @p430 (forall @t40 (=> @t810 (forall @t781 (= @t940 (tptp.hAPP @t29 @t29 @t938 @t946)))))) % 55.33/55.55 (assume @p431 (forall @t40 (=> @t810 (forall @t735 (= (tptp.hAPP @t29 @t29 @t942 (tptp.hAPP @t29 @t29 @t943 @t722)) @t944))))) % 55.33/55.55 (assume @p432 (forall @t40 (=> @t810 (forall @t809 (= (tptp.hAPP @t29 @t29 @t937 @t941) @t941))))) % 55.33/55.55 (assume @p433 (forall @t40 (=> @t810 (forall @t570 (= (tptp.hAPP @t29 @t29 @t943 @t945) @t945))))) % 55.33/55.55 (assume @p434 (forall @t40 (=> @t810 (forall @t809 (= @t941 @t947))))) % 55.33/55.55 (assume @p435 (forall @t40 (=> @t810 (forall @t570 (= @t945 (tptp.hAPP @t29 @t29 @t942 @t558)))))) % 55.33/55.55 (assume @p436 (forall @t40 (=> @t810 (forall @t562 (= (tptp.hAPP @t29 @t29 @t943 @t558) @t559))))) % 55.33/55.55 (assume @p437 (forall @t22 (=> @t21 (forall @t951 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t950) @t388)) (or @t949 @t948)))))) % 55.33/55.55 (assume @p438 (forall @t40 (=> @t810 (forall (@list @t564 @t558 @t568) (=> @t954 (not (=> @t953 (not @t952)))))))) % 55.33/55.55 (assume @p439 (forall @t40 (=> @t810 (forall @t957 (=> @t831 (=> @t956 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t955 (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t134 @t722) @t739))))))))) % 55.33/55.55 (assume @p440 (forall @t40 (=> @t810 (forall @t824 (=> @t808 (=> @t822 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t801 @t939)))))))) % 55.33/55.55 (assume @p441 (forall @t40 (=> @t810 (forall @t958 (=> @t953 (=> @t952 @t954)))))) % 55.33/55.55 (assume @p442 (forall @t40 (=> @t810 (forall @t821 (=> @t807 (= @t941 @t819)))))) % 55.33/55.55 (assume @p443 (forall @t40 (=> @t810 (forall @t809 (=> @t808 (= @t941 @t565)))))) % 55.33/55.55 (assume @p444 (forall @t40 (=> @t810 (forall @t961 (=> @t960 @t959))))) % 55.33/55.55 (assume @p445 (forall @t40 (=> @t810 (forall @t963 (=> @t962 @t959))))) % 55.33/55.55 (assume @p446 (forall @t22 (=> @t21 (forall @t951 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t838 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t914 @t296) @t388))) (and @t839 @t949)))))) % 55.33/55.55 (assume @p447 (forall @t22 (=> @t21 (forall @t845 (= @t839 (= @t950 @t295)))))) % 55.33/55.55 (assume @p448 (forall @t40 (=> @t810 (forall @t809 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t964 @t778)))))) % 55.33/55.55 (assume @p449 (forall @t40 (=> @t810 (forall @t809 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t964 @t564)))))) % 55.33/55.55 (assume @p450 (forall @t40 (=> @t860 (forall @t781 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t77 @t941) @t777) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t134 @t966) @t780)))))) % 55.33/55.55 (assume @p451 (forall @t40 (=> @t970 (forall @t781 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t713 @t941) @t777) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t134 @t969) @t967)))))) % 55.33/55.55 (assume @p452 (forall @t22 (=> @t21 (forall @t439 (=> @t423 (= @t934 @t916)))))) % 55.33/55.55 (assume @p453 (forall @t22 (=> @t21 (tptp.hBOOL (tptp.hAPP @t19 tptp.bool @t557 @t914))))) % 55.33/55.55 (assume @p454 (forall @t22 (=> @t21 (forall @t509 (=> @t423 @t972))))) % 55.33/55.55 (assume @p455 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t292 @t972)))))) % 55.33/55.55 (assume @p456 (forall @t22 (=> @t21 (forall @t917 (=> @t423 (=> @t897 (=> @t799 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t914 (tptp.hAPP @t11 @t1 @t25 @t236)) @t934) @t934)))))))) % 55.33/55.55 (assume @p457 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t292 (= @t971 @t974))))))) % 55.33/55.55 (assume @p458 (forall @t22 (=> @t21 (forall @t656 (=> @t423 (= (tptp.hAPP @t11 @t1 @t25 @t281) @t975)))))) % 55.33/55.55 (assume @p459 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (and (=> @t503 (= @t971 @t295)) (=> @t504 (= @t971 @t976)))))))) % 55.33/55.55 (assume @p460 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t291 (and (=> @t503 @t977) (=> @t504 (= @t934 @t976))))))))) % 55.33/55.55 (assume @p461 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t291 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t838 @t978)))))))) % 55.33/55.55 (assume @p462 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t291 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t934) @t284)))))))) % 55.33/55.55 (assume @p463 (forall @t22 (=> @t21 (forall @t439 (=> @t423 (=> @t277 @t979)))))) % 55.33/55.55 (assume @p464 (forall @t22 (=> @t21 (forall @t439 (=> @t423 (=> @t277 @t980)))))) % 55.33/55.55 (assume @p465 (forall @t22 (=> @t21 (forall @t323 (= (tptp.hAPP @t11 @t1 @t25 @t321) @t295))))) % 55.33/55.55 (assume @p466 (forall @t22 (=> @t21 (forall @t323 (= (tptp.hAPP @t11 @t1 @t24 @t321) @t295))))) % 55.33/55.55 (assume @p467 (forall @t22 (=> @t21 (forall @t984 (=> @t423 (=> @t226 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t983) (tptp.hAPP @t1 @t1 @t981 @t227))))))))) % 55.33/55.55 (assume @p468 (forall @t22 (=> @t21 (forall @t984 (=> @t423 (= (tptp.hAPP @t11 @t1 @t982 @t281) (tptp.hAPP @t1 @t1 @t981 @t983))))))) % 55.33/55.55 (assume @p469 (forall @t22 (=> @t21 (forall @t656 (=> @t423 (=> @t226 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t985 @t224)))))))) % 55.33/55.55 (assume @p470 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t277 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t985 @t284)) (exists @t272 (and @t279 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t986 @t284))))))))))) % 55.33/55.55 (assume @p471 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t277 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t838 @t916)) (forall @t272 (=> @t279 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t838 @t270))))))))))) % 55.33/55.55 (assume @p472 (forall @t22 (=> @t21 (forall @t541 (=> @t988 (=> @t537 (=> @t536 (= (tptp.hAPP @t1 @t1 @t436 @t919) (tptp.hAPP @t11 @t1 @t25 @t535))))))))) % 55.33/55.55 (assume @p473 (forall @t22 (=> @t21 (forall @t439 (=> @t423 (=> @t277 (=> @t989 @t980))))))) % 55.33/55.55 (assume @p474 (forall @t22 (=> @t21 (forall @t991 (=> @t423 (=> (forall @t272 (=> @t279 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t990 @t270)))) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t914 @t227) @t189)) (tptp.hAPP @t11 @t1 (tptp.hAPP @t1 @t17 @t973 @t189) @t223))))))))) % 55.33/55.55 (assume @p475 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> (forall @t332 (=> @t331 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t838 @t330)))) (=> @t291 @t977))))))) % 55.33/55.55 (assume @p476 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> (forall @t332 (=> @t331 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t993 @t284)))) (=> @t291 @t992))))))) % 55.33/55.55 (assume @p477 (forall @t22 (=> @t21 (= (tptp.hAPP @t125 @t19 @t124 @t994) @t914)))) % 55.33/55.55 (assume @p478 (forall (@list @t995 @t350) (=> (forall @t998 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 @t996) @t997))) (tptp.hBOOL (tptp.hAPP @t148 tptp.bool @t924 (tptp.hAPP @t148 @t148 @t926 (tptp.hAPP tptp.nat @t148 (tptp.hAPP @t149 @t149 @t925 (tptp.hAPP @t651 @t149 (tptp.hAPP @t149 (tptp.fun @t651 @t149) (tptp.combb tptp.nat @t148 tptp.nat) @t913) @t350)) @t995))))))) % 55.33/55.55 (assume @p479 (forall @t40 (=> @t818 (forall @t1002 (=> @t1001 (= (tptp.hAPP @t29 @t29 @t937 @t999) @t1000)))))) % 55.33/55.55 (assume @p480 (forall @t40 (=> @t135 (forall @t1002 (=> @t1001 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t134 @t999) @t564) @t1000)))))) % 55.33/55.55 (assume @p481 (forall @t22 (=> @t127 (= @t914 (tptp.hAPP @t125 @t19 @t128 @t837))))) % 55.33/55.55 (assume @p482 (forall @t1012 (=> @t1011 (=> @t1010 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 @t1008) @t1007)) @t1005))))) % 55.33/55.55 (assume @p483 (forall @t1025 (=> @t1024 (=> @t1022 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1020 (tptp.hAPP tptp.nat tptp.nat @t1016 @t1013))))))) % 55.33/55.55 (assume @p484 (forall @t1027 (=> @t1024 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 (tptp.hAPP tptp.nat tptp.nat @t1026 @t1018)) (tptp.hAPP tptp.nat tptp.nat @t1026 @t1014)))))) % 55.33/55.55 (assume @p485 (forall @t1027 (=> @t1024 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1020 (tptp.hAPP tptp.nat tptp.nat @t1016 @t1017)))))) % 55.33/55.55 (assume @p486 (forall @t1031 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1030 (tptp.hAPP tptp.nat tptp.nat @t1028 @t1029))))) % 55.33/55.55 (assume @p487 (forall @t1031 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1030 @t1029)))) % 55.33/55.55 (assume @p488 (forall @t1034 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1033 @t1032)))) % 55.33/55.55 (assume @p489 (forall @t1037 (or @t1036 @t1035))) % 55.33/55.55 (assume @p490 (forall @t1037 (=> @t1038 @t1036))) % 55.33/55.55 (assume @p491 (forall @t1027 (=> @t1024 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1039 @t1017)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1023 @t1017)))))) % 55.33/55.55 (assume @p492 (forall @t1037 (=> @t1036 (=> @t1035 @t1038)))) % 55.33/55.55 (assume @p493 (forall @t1045 (=> @t1044 (not (=> @t1036 (not @t1040)))))) % 55.33/55.55 (assume @p494 (forall @t1045 (=> @t1044 @t1036))) % 55.33/55.55 (assume @p495 (forall @t1045 (=> @t1044 @t1040))) % 55.33/55.55 (assume @p496 (forall @t1025 (=> @t1024 (=> @t1022 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1050 @t1047)))))) % 55.33/55.55 (assume @p497 (forall @t1027 (=> @t1024 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1050 @t1051))))) % 55.33/55.55 (assume @p498 (forall @t1053 (=> @t1024 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1023 @t1052))))) % 55.33/55.55 (assume @p499 (forall @t1053 (=> @t1024 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1023 @t1054))))) % 55.33/55.55 (assume @p500 (forall @t1058 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 @t1057) @t1056)) @t1005))) % 55.33/55.55 (assume @p501 (forall @t1061 (= @t1005 (exists (@list @t1059) (= @t907 (tptp.hAPP tptp.nat tptp.nat @t1060 @t1059)))))) % 55.33/55.55 (assume @p502 (forall @t1064 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1033 @t1063)))) % 55.33/55.55 (assume @p503 (forall @t1064 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1033 @t1065)))) % 55.33/55.55 (assume @p504 (forall (@list @t726 @t1018 @t1032) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1066 (tptp.hAPP tptp.nat tptp.nat @t1069 @t1018)) @t1068) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1066 @t726) @t1032)) @t1018)))) % 55.33/55.55 (assume @p505 (forall @t1073 (= (tptp.hAPP tptp.nat tptp.nat @t1026 @t1072) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 @t1071) @t1070)))) % 55.33/55.55 (assume @p506 (forall @t1037 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 @t1065) @t1032) @t726))) % 55.33/55.55 (assume @p507 (forall @t1064 (= (tptp.hAPP tptp.nat tptp.nat @t1074 @t1032) @t726))) % 55.33/55.55 (assume @p508 (forall @t1078 (= @t1077 (tptp.hAPP tptp.nat tptp.nat @t1075 @t1051)))) % 55.33/55.55 (assume @p509 (forall @t1078 (= @t1077 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 (tptp.hAPP tptp.nat tptp.nat @t1075 @t1017)) @t1014)))) % 55.33/55.55 (assume @p510 (forall @t1082 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1015 @t1072) @t1017) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 @t1081) @t1080)))) % 55.33/55.55 (assume @p511 (forall @t1073 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 (tptp.hAPP tptp.nat tptp.nat @t1083 @t726)) @t1084) @t1072))) % 55.33/55.55 (assume @p512 (forall @t1045 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 @t1043) @t1085) @t1072))) % 55.33/55.55 (assume @p513 (forall @t1037 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 @t1072) @t726)))) % 55.33/55.55 (assume @p514 (forall @t1089 (=> @t1088 (= (tptp.hAPP tptp.nat tptp.nat @t1075 @t1087) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 @t1049) @t1014))))) % 55.33/55.55 (assume @p515 (forall (@list @t1092 @t793 @t1090) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 @t1095) @t1090)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1093 @t1091))))) % 55.33/55.55 (assume @p516 (forall @t1045 (=> @t1040 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1030 (tptp.hAPP tptp.nat tptp.nat @t1074 @t1017)))))) % 55.33/55.55 (assume @p517 (forall @t1099 (=> @t1036 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 @t1098) @t1097))))) % 55.33/55.55 (assume @p518 (forall @t1099 (=> @t1036 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 (tptp.hAPP tptp.nat tptp.nat @t1069 @t1013)) (tptp.hAPP tptp.nat tptp.nat @t1067 @t1013)))))) % 55.33/55.55 (assume @p519 (forall (@list @t1018 @t1032) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1023 @t1032)) (= (tptp.hAPP tptp.nat tptp.nat @t1067 @t1068) @t1018)))) % 55.33/55.55 (assume @p520 (forall @t1064 (=> @t1035 @t1100))) % 55.33/55.55 (assume @p521 (forall @t1089 (=> @t1088 (= @t1103 @t1102)))) % 55.33/55.55 (assume @p522 (forall (@list @t1090 @t793 @t1092) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1009 @t1092)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1104 @t1095)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 @t1091) @t1092)))))) % 55.33/55.55 (assume @p523 (forall @t1064 (=> @t1035 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1041 @t1072) @t1032) @t726)))) % 55.33/55.55 (assume @p524 (forall @t1107 (=> @t1106 (= (= @t1105 @t793) (= @t1092 (tptp.hAPP tptp.nat tptp.nat @t1055 @t1090)))))) % 55.33/55.55 (assume @p525 (forall @t1089 (=> @t1088 (= @t1102 @t1103)))) % 55.33/55.55 (assume @p526 (forall @t1089 (=> @t1088 (= @t1110 @t1109)))) % 55.33/55.55 (assume @p527 (forall @t1089 (=> @t1088 (= @t1109 @t1110)))) % 55.33/55.55 (assume @p528 (forall @t1012 (=> @t1011 (=> @t1010 (= (= @t1008 @t1007) @t1111))))) % 55.33/55.55 (assume @p529 (forall (@list @t1032 @t1017 @t726) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1021 @t726)) (=> @t1040 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 (tptp.hAPP tptp.nat tptp.nat @t1069 @t1017)) (tptp.hAPP tptp.nat tptp.nat @t1067 @t1017)) @t1072))))) % 55.33/55.55 (assume @p530 (forall @t1116 (=> @t1106 (= @t1115 (= @t1003 @t1112))))) % 55.33/55.55 (assume @p531 (forall (@list @t1117 @t726 @t1032 @t1018 @t1014) (=> @t1024 (= @t1120 (tptp.hAPP tptp.nat tptp.nat @t1069 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1041 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1015 (tptp.hAPP tptp.nat tptp.nat @t1086 @t1018)) @t1117)) @t1032)))))) % 55.33/55.55 (assume @p532 (forall @t1116 (=> @t1106 (= @t1121 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1004 @t1112)))))) % 55.33/55.55 (assume @p533 (forall @t1124 (=> @t1123 (= @t1115 (= @t1122 @t907))))) % 55.33/55.55 (assume @p534 (forall (@list @t1117 @t726 @t1032 @t1014 @t1018) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1039 @t1018)) (= @t1120 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1041 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1015 @t1076) @t1117)) @t726)) @t1032))))) % 55.33/55.55 (assume @p535 (forall @t1082 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1015 @t1125) @t1017) (tptp.hAPP tptp.nat tptp.nat @t1028 @t1080)))) % 55.33/55.55 (assume @p536 (forall @t1037 (= @t1125 (tptp.hAPP tptp.nat tptp.nat @t1079 @t726)))) % 55.33/55.55 (assume @p537 (forall (@list @t1003 @t793 @t907) (= (= @t1128 @t1127) @t1111))) % 55.33/55.55 (assume @p538 (forall @t1058 (= (= @t1057 @t1056) @t1111))) % 55.33/55.55 (assume @p539 (forall @t1082 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1041 @t1065) @t1017) (tptp.hAPP tptp.nat tptp.nat @t1042 @t1085)))) % 55.33/55.55 (assume @p540 (forall @t781 (= (tptp.hAPP tptp.nat tptp.nat @t1129 @t1131) (tptp.hAPP tptp.nat tptp.nat @t1130 (tptp.hAPP tptp.nat tptp.nat @t1129 @t777))))) % 55.33/55.55 (assume @p541 (forall @t1037 (= @t1065 @t1063))) % 55.33/55.55 (assume @p542 (forall @t1073 (= (tptp.hAPP tptp.nat tptp.nat @t1026 @t1065) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1041 @t1071) @t1070)))) % 55.33/55.55 (assume @p543 (forall @t1082 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1015 @t1065) @t1017) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1041 @t1081) @t1080)))) % 55.33/55.55 (assume @p544 (forall (@list @t1018 @t1117 @t1014 @t1017) (= (tptp.hAPP tptp.nat tptp.nat @t1119 (tptp.hAPP tptp.nat tptp.nat @t1118 @t1017)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1041 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1015 @t1101) @t1117)) @t1017)))) % 55.33/55.55 (assume @p545 (forall @t1124 (=> @t1123 (= @t1121 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 @t1122) @t907)))))) % 55.33/55.55 (assume @p546 (forall @t824 (=> @t1134 @t1133))) % 55.33/55.55 (assume @p547 (forall @t1135 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1132 @t777)) @t1133))) % 55.33/55.55 (assume @p548 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t291 (and (=> @t503 (= @t1138 @t295)) (=> @t504 (= @t1138 @t1137))))))))) % 55.33/55.55 (assume @p549 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (and (=> @t503 (= @t1139 @t295)) (=> @t504 (= @t1139 @t1137)))))))) % 55.33/55.55 (assume @p550 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t291 (= @t1140 @t1138))))))) % 55.33/55.55 (assume @p551 (forall @t22 (=> @t21 (forall @t323 (= (tptp.hAPP @t11 @t1 @t1136 @t321) @t295))))) % 55.33/55.55 (assume @p552 (forall @t22 (=> @t21 (forall @t439 (=> @t423 (= @t1138 @t916)))))) % 55.33/55.55 (assume @p553 (forall @t22 (=> @t21 (forall @t509 (=> @t423 @t1141))))) % 55.33/55.55 (assume @p554 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t292 @t1141)))))) % 55.33/55.55 (assume @p555 (forall @t22 (=> @t21 (forall @t917 (=> @t423 (=> @t897 (=> @t799 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t914 @t1142) @t1138) @t1138)))))))) % 55.33/55.55 (assume @p556 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t292 (= @t1139 @t974))))))) % 55.33/55.55 (assume @p557 (forall @t22 (=> @t21 (forall @t656 (=> @t423 (= (tptp.hAPP @t11 @t1 @t1136 @t281) @t975)))))) % 55.33/55.55 (assume @p558 (forall @t22 (=> @t21 (forall @t541 (=> @t988 (=> @t537 (=> @t536 (= (tptp.hAPP @t1 @t1 @t436 (tptp.hAPP @t11 @t1 @t1136 @t408)) (tptp.hAPP @t11 @t1 @t1136 @t535))))))))) % 55.33/55.55 (assume @p559 (forall @t22 (=> @t21 (forall @t439 (=> @t423 (=> @t277 (=> @t989 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t1 @t55 @t167 @t1138) @t223))))))))) % 55.33/55.55 (assume @p560 (forall @t22 (=> @t1148 (forall @t1147 (=> @t667 (=> @t1146 (= (tptp.hAPP @t1 @t1 @t1143 (tptp.hAPP @t11 @t1 @t24 @t658)) (tptp.hAPP @t11 @t1 @t25 @t1145)))))))) % 55.33/55.55 (assume @p561 (forall @t22 (=> @t1148 (forall @t1147 (=> @t667 (=> @t1146 (= (tptp.hAPP @t1 @t1 @t1143 (tptp.hAPP @t11 @t1 @t25 @t658)) (tptp.hAPP @t11 @t1 @t24 @t1145)))))))) % 55.33/55.55 (assume @p562 (forall @t15 (=> @t89 (forall (@list @t223 @t270) (= (tptp.hAPP @t1 @t2 (tptp.hAPP @t13 @t13 (tptp.uminus_uminus @t13) @t223) @t270) (tptp.hAPP @t2 @t2 @t88 @t549)))))) % 55.33/55.55 (assume @p563 (forall @t40 (=> @t1151 (forall @t567 (= (tptp.hAPP @t29 @t29 @t1149 @t1150) @t565))))) % 55.33/55.55 (assume @p564 (forall @t9 (=> (tptp.uminus @t1) (forall (@list @t223 @t284) (= (tptp.hAPP @t2 @t1 (tptp.hAPP @t6 @t6 (tptp.uminus_uminus @t6) @t223) @t284) (tptp.hAPP @t1 @t1 @t1143 @t547)))))) % 55.33/55.55 (assume @p565 (forall @t22 (=> @t1154 (forall @t845 (= (= @t1153 @t1152) @t836))))) % 55.33/55.55 (assume @p566 (forall @t40 (=> @t716 (forall @t562 (= (tptp.hAPP @t29 @t29 @t1149 @t1155) @t559))))) % 55.33/55.55 (assume @p567 (forall @t22 (=> @t1160 (forall @t1159 (= @t1158 (= @t228 @t1156)))))) % 55.33/55.55 (assume @p568 (forall @t22 (=> @t1160 (forall @t1159 (= (= @t1156 @t228) (= @t1157 @t229)))))) % 55.33/55.55 (assume @p569 (forall @t22 (=> @t1160 (forall @t1159 (= (= @t1156 @t1157) @t230))))) % 55.33/55.55 (assume @p570 (forall @t521 (=> @t804 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 @t1163) @t1162))))) % 55.33/55.55 (assume @p571 (forall @t521 (= (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 @t1162) @t1163)) @t799))) % 55.33/55.55 (assume @p572 (forall @t40 (=> @t1164 (forall @t570 (= (tptp.hAPP @t29 @t29 @t1149 @t715) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t713 @t568) @t558)))))) % 55.33/55.55 (assume @p573 (forall @t40 (=> @t970 (forall @t570 (=> @t832 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t800 @t1165) @t1155))))))) % 55.33/55.55 (assume @p574 (forall @t22 (=> @t880 (forall @t1167 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1166 @t1156)) @t868))))) % 55.33/55.55 (assume @p575 (forall @t22 (=> @t880 (forall @t1159 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t1156) @t227)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1166 @t224))))))) % 55.33/55.55 (assume @p576 (forall @t22 (=> @t880 (forall @t1159 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t867 @t1157)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t990 @t1156))))))) % 55.33/55.55 (assume @p577 (forall @t40 (=> @t1151 (forall @t821 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1169 @t564)) (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t800 @t1150) @t778))))))) % 55.33/55.55 (assume @p578 (forall @t40 (=> @t1151 (forall @t821 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t806 @t1150)) (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t801 @t1168))))))) % 55.33/55.55 (assume @p579 (forall @t40 (=> @t1151 (forall @t809 (=> @t808 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1169 @t1150))))))) % 55.33/55.55 (assume @p580 (forall @t22 (=> @t1154 (forall @t845 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t1153) @t1152)) @t842))))) % 55.33/55.55 (assume @p581 (forall @t40 (=> @t1164 (forall @t570 (= @t1171 (tptp.hAPP @t29 @t29 @t1170 @t1165)))))) % 55.33/55.55 (assume @p582 (forall @t40 (=> @t716 (forall @t570 (= @t1171 (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t77 @t1165) @t1155)))))) % 55.33/55.55 (assume @p583 (forall @t40 (=> @t716 (forall @t570 (= (tptp.hAPP @t29 @t29 @t717 (tptp.hAPP @t29 @t29 @t1170 @t568)) @t730))))) % 55.33/55.55 (assume @p584 (forall @t40 (=> @t716 (forall @t570 (= (tptp.hAPP @t29 @t29 @t1170 @t718) @t730))))) % 55.33/55.55 (assume @p585 (forall @t40 (=> @t1174 (forall @t570 (= @t1173 @t1172))))) % 55.33/55.55 (assume @p586 (forall @t40 (=> @t1174 (forall @t570 (= @t1173 @t1176))))) % 55.33/55.55 (assume @p587 (forall @t40 (=> @t1174 (forall @t570 (= @t1176 @t1172))))) % 55.33/55.55 (assume @p588 (forall @t40 (=> @t1174 (forall @t570 (= (tptp.hAPP @t29 @t29 @t1175 @t1165) @t569))))) % 55.33/55.55 (assume @p589 (forall @t22 (=> (tptp.idom @t1) (forall @t1159 (= (= (tptp.hAPP @t1 @t1 @t706 @t224) (tptp.hAPP @t1 @t1 @t704 @t227)) (or @t230 @t1158)))))) % 55.33/55.55 (assume @p590 (forall @t9 (=> @t94 (forall @t1177 (= (tptp.hAPP @t4 @t1 (tptp.hAPP @t6 @t5 @t3 (tptp.hAPP @t6 @t6 (tptp.hAPP @t18 @t548 @t634 @t1143) @t350)) @t223) (tptp.hAPP @t1 @t1 @t1143 @t629)))))) % 55.33/55.55 (assume @p591 (forall @t40 (=> @t716 (forall @t570 (= (tptp.hAPP @t29 @t29 @t714 @t1165) @t718))))) % 55.33/55.55 (assume @p592 (forall @t40 (=> @t1178 (forall @t809 (= (tptp.hAPP @t29 @t29 @t968 @t778) (tptp.hAPP @t29 @t29 @t965 @t1168)))))) % 55.33/55.55 (assume @p593 (forall @t40 (=> @t1164 @t1179))) % 55.33/55.55 (assume @p594 (forall @t40 (=> @t716 @t1179))) % 55.33/55.55 (assume @p595 (forall @t280 (= (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t803 @t1162)) @t268))) % 55.33/55.55 (assume @p596 (forall @t22 (=> @t880 (forall @t323 (= (tptp.hAPP @t11 @t11 @t1144 @t857) (tptp.hAPP @t1 @t11 @t146 @t1153)))))) % 55.33/55.55 (assume @p597 (forall @t22 (=> @t880 (forall @t323 (= (tptp.hAPP @t11 @t11 @t1144 @t1180) (tptp.hAPP @t1 @t11 @t150 @t1153)))))) % 55.33/55.55 (assume @p598 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t291 (and (=> @t503 @t992) (=> @t504 (= @t978 @t1182))))))))) % 55.33/55.55 (assume @p599 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (and (=> @t503 (= @t1183 @t295)) (=> @t504 (= @t1183 @t1182)))))))) % 55.33/55.55 (assume @p600 (forall @t1186 (=> @t1185 @t1184))) % 55.33/55.55 (assume @p601 (forall @t275 (= (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t11 @t11 @t302 @t191)) (tptp.hAPP @t11 @t11 @t1161 @t274)))) % 55.33/55.55 (assume @p602 (forall @t280 (= @t1162 (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t11 @t11 @t302 @t476))))) % 55.33/55.55 (assume @p603 (forall @t280 (= (tptp.hAPP @t11 @t11 @t1161 @t1162) @t267))) % 55.33/55.55 (assume @p604 (forall @t1186 (= @t1184 @t1185))) % 55.33/55.55 (assume @p605 (forall @t521 (= (= @t1162 @t1163) @t283))) % 55.33/55.55 (assume @p606 (forall @t1186 (=> @t1184 @t1185))) % 55.33/55.55 (assume @p607 (forall @t40 (=> @t810 (forall @t1190 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t134 @t1189) @t564) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t1187 @t947) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t134 @t777) @t564))))))) % 55.33/55.55 (assume @p608 (forall @t40 (=> @t810 (forall @t1190 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t1187 @t939) @t564) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t134 @t1191) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t1187 @t777) @t564))))))) % 55.33/55.55 (assume @p609 (forall @t40 (=> @t810 (forall @t781 @t1194)))) % 55.33/55.55 (assume @p610 (forall @t40 (=> @t810 (forall @t781 @t1200)))) % 55.33/55.55 (assume @p611 (forall @t40 (=> @t810 (forall @t809 (= (tptp.hAPP @t29 @t29 @t937 @t1197) @t565))))) % 55.33/55.55 (assume @p612 (forall @t40 (=> @t810 (forall @t809 (= (tptp.hAPP @t29 @t29 @t1195 @t941) @t565))))) % 55.33/55.55 (assume @p613 (forall @t40 (=> @t860 (forall @t781 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t77 @t1197) @t777) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t1187 @t966) @t780)))))) % 55.33/55.55 (assume @p614 (forall @t40 (=> @t970 (forall @t781 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t713 @t1197) @t777) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t1187 @t969) @t967)))))) % 55.33/55.55 (assume @p615 (forall @t40 (=> @t810 (forall @t567 (= (tptp.hAPP @t29 @t29 @t1195 @t564) @t565))))) % 55.33/55.55 (assume @p616 (forall @t40 (=> @t810 (forall @t781 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t1187 @t1197) @t777) @t1201))))) % 55.33/55.55 (assume @p617 (forall @t40 (=> @t810 (forall @t737 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t1187 @t1205) @t722) @t1204))))) % 55.33/55.55 (assume @p618 (forall @t40 (=> @t810 (forall @t781 (= @t1201 (tptp.hAPP @t29 @t29 @t1188 @t1196)))))) % 55.33/55.55 (assume @p619 (forall @t40 (=> @t810 (forall @t735 (= (tptp.hAPP @t29 @t29 @t1202 (tptp.hAPP @t29 @t29 @t1203 @t722)) @t1204))))) % 55.33/55.55 (assume @p620 (forall @t40 (=> @t810 (forall @t809 (= (tptp.hAPP @t29 @t29 @t1195 @t1197) @t1197))))) % 55.33/55.55 (assume @p621 (forall @t40 (=> @t810 (forall @t570 (= (tptp.hAPP @t29 @t29 @t1203 @t1205) @t1205))))) % 55.33/55.55 (assume @p622 (forall @t40 (=> @t810 (forall @t809 (= @t1197 @t1191))))) % 55.33/55.55 (assume @p623 (forall @t40 (=> @t810 (forall @t570 (= @t1205 (tptp.hAPP @t29 @t29 @t1202 @t558)))))) % 55.33/55.55 (assume @p624 (forall @t40 (=> @t810 (forall @t562 (= (tptp.hAPP @t29 @t29 @t1203 @t558) @t559))))) % 55.33/55.55 (assume @p625 (forall @t22 (=> @t21 (forall @t845 (= (= @t1180 @t1206) @t836))))) % 55.33/55.55 (assume @p626 (forall @t40 (=> @t810 (forall @t809 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t801 @t1197)))))) % 55.33/55.55 (assume @p627 (forall @t40 (=> @t810 (forall @t821 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t806 @t1197)))))) % 55.33/55.55 (assume @p628 (forall @t22 (=> @t21 (forall @t845 (= @t839 (= @t1207 @t297)))))) % 55.33/55.55 (assume @p629 (forall @t22 (=> @t21 (forall @t951 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t1207) @t388)) (and @t949 @t948)))))) % 55.33/55.55 (assume @p630 (forall @t40 (=> @t810 (forall @t958 (=> @t953 @t1208))))) % 55.33/55.55 (assume @p631 (forall @t40 (=> @t810 (forall @t1209 (=> @t952 @t1208))))) % 55.33/55.55 (assume @p632 (forall @t40 (=> @t810 (forall @t809 (=> @t808 (= @t1197 @t819)))))) % 55.33/55.55 (assume @p633 (forall @t40 (=> @t810 (forall @t821 (=> @t807 (= @t1197 @t565)))))) % 55.33/55.55 (assume @p634 (forall @t40 (=> @t810 (forall @t963 (=> @t962 (=> @t960 @t1211)))))) % 55.33/55.55 (assume @p635 (forall @t40 (=> @t810 (forall @t817 (=> @t807 (=> @t815 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t800 @t1189) @t564)))))))) % 55.33/55.55 (assume @p636 (forall @t40 (=> @t810 (forall @t957 (=> @t831 (=> @t956 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1210 (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t1187 @t722) @t739))))))))) % 55.33/55.55 (assume @p637 (forall @t40 (=> @t810 (forall @t961 (=> @t1211 (not (=> @t962 (not @t960)))))))) % 55.33/55.55 (assume @p638 (forall @t22 (=> @t21 (forall @t1213 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1212 @t1207)) (or (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1212 @t284)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1212 @t296)))))))) % 55.33/55.55 (assume @p639 (forall @t22 (=> @t21 (tptp.hBOOL (tptp.hAPP @t19 tptp.bool @t557 @t133))))) % 55.33/55.55 (assume @p640 (forall @t40 (=> @t810 (forall @t781 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t800 @t1192) @t1193)))))) % 55.33/55.55 (assume @p641 (forall @t40 (=> @t810 (forall @t781 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t800 @t1199) @t1198)))))) % 55.33/55.55 (assume @p642 (forall @t40 (=> @t1214 (forall @t809 (= (tptp.hAPP @t29 @t29 @t1149 @t941) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t1187 @t1150) @t1168)))))) % 55.33/55.55 (assume @p643 (forall @t40 (=> @t1214 (forall @t809 (= (tptp.hAPP @t29 @t29 @t1149 @t1197) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t134 @t1150) @t1168)))))) % 55.33/55.55 (assume @p644 (forall @t1064 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1041 (tptp.hAPP tptp.nat tptp.nat @t1067 @t726)) @t726) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 (tptp.ord_max tptp.nat) @t1032) @t726)))) % 55.33/55.55 (assume @p645 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t291 (= @t1215 @t978))))))) % 55.33/55.55 (assume @p646 (forall @t22 (=> @t21 (forall @t984 (=> @t423 (=> @t226 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 (tptp.hAPP @t1 @t1 @t1219 @t227)) @t1218)))))))) % 55.33/55.55 (assume @p647 (forall @t22 (=> @t127 (= @t133 (tptp.hAPP @t125 @t19 @t124 @t837))))) % 55.33/55.55 (assume @p648 (forall @t22 (=> @t21 (forall @t984 (=> @t423 (= (tptp.hAPP @t11 @t1 @t1217 @t281) (tptp.hAPP @t1 @t1 @t1219 @t1218))))))) % 55.33/55.55 (assume @p649 (forall @t22 (=> @t21 (forall @t656 (=> @t423 (=> @t226 (= (tptp.hAPP @t1 @t1 @t1219 @t1138) @t229))))))) % 55.33/55.55 (assume @p650 (forall @t22 (=> @t21 (forall @t845 (= (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 @t1180) @t1206)) @t842))))) % 55.33/55.55 (assume @p651 (forall @t22 (=> @t21 (forall @t439 (=> @t423 (= @t978 @t1220)))))) % 55.33/55.55 (assume @p652 (forall @t22 (=> @t21 (= (tptp.hAPP @t125 @t19 @t128 @t994) @t133)))) % 55.33/55.55 (assume @p653 (forall @t22 (=> @t21 (forall @t509 (=> @t423 @t1221))))) % 55.33/55.55 (assume @p654 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t292 @t1221)))))) % 55.33/55.55 (assume @p655 (forall @t22 (=> @t21 (forall @t917 (=> @t423 (=> @t897 (=> @t799 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t133 (tptp.hAPP @t11 @t1 @t24 @t236)) @t978) @t978)))))))) % 55.33/55.55 (assume @p656 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t292 (= @t1183 @t1222))))))) % 55.33/55.55 (assume @p657 (forall @t22 (=> @t21 (forall @t656 (=> @t423 (= (tptp.hAPP @t11 @t1 @t24 @t281) @t1223)))))) % 55.33/55.55 (assume @p658 (forall @t22 (=> @t21 (forall @t541 (=> @t1225 (=> @t537 (=> @t536 (= (tptp.hAPP @t1 @t1 @t436 @t923) (tptp.hAPP @t11 @t1 @t24 @t535))))))))) % 55.33/55.55 (assume @p659 (forall @t22 (=> @t21 (forall @t439 (=> @t423 (=> @t277 (=> @t1226 @t979))))))) % 55.33/55.55 (assume @p660 (forall @t22 (=> @t21 (forall @t991 (=> @t423 (=> (forall @t272 (=> @t279 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t986 @t227)))) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 (tptp.hAPP @t11 @t1 (tptp.hAPP @t1 @t17 @t1216 @t189) @t223)) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t133 @t227) @t189))))))))) % 55.33/55.55 (assume @p661 (forall @t40 (=> @t810 (forall @t781 (=> (forall @t1229 (= (tptp.hAPP @t29 @t29 @t1228 (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t1187 @t330) @t1227)) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t1187 (tptp.hAPP @t29 @t29 @t1228 @t330)) (tptp.hAPP @t29 @t29 @t1228 @t1227)))) @t1200))))) % 55.33/55.55 (assume @p662 (forall @t40 (=> @t810 (forall @t781 (=> (forall @t1229 (= (tptp.hAPP @t29 @t29 @t1230 (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t134 @t330) @t1227)) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t134 (tptp.hAPP @t29 @t29 @t1230 @t330)) (tptp.hAPP @t29 @t29 @t1230 @t1227)))) @t1194))))) % 55.33/55.55 (assume @p663 (forall @t40 (=> @t135 (forall @t1002 (=> @t1001 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t1187 @t999) @t564) @t565)))))) % 55.33/55.55 (assume @p664 (forall @t40 (=> @t818 (forall @t1002 (=> @t1001 (= (tptp.hAPP @t29 @t29 @t1195 @t999) @t565)))))) % 55.33/55.55 (assume @p665 (forall @t22 (=> @t21 (forall @t439 (=> @t423 (=> @t277 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t1138) @t1232)))))))) % 55.33/55.55 (assume @p666 (forall @t22 (=> @t21 (forall @t917 (=> @t423 (=> @t277 (=> @t523 (=> @t897 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t133 @t1138) @t1142) (tptp.hAPP @t11 @t1 @t1136 (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t125 @t11 @t1256 (tptp.hAPP @t144 @t125 @t1257 (tptp.hAPP @t125 @t144 (tptp.hAPP @t1251 @t1254 @t1253 (tptp.hAPP @t1248 @t1251 @t1252 (tptp.hAPP @t1243 @t1248 @t1249 (tptp.hAPP @t144 @t1243 @t1244 (tptp.hAPP @t19 @t144 @t1239 @t133))))) @t1233)))))))))))))) % 55.33/55.55 (assume @p667 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t277 (= (tptp.hAPP @t1 @t1 @t1181 @t1138) (tptp.hAPP @t11 @t1 @t1136 (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t125 @t11 @t1256 (tptp.hAPP @t11 @t125 (tptp.hAPP @t154 @t340 @t339 (tptp.hAPP @t1240 @t154 @t1247 (tptp.hAPP @t125 @t1240 @t1242 (tptp.hAPP @t18 @t125 @t1258 @t1181)))) @t476))))))))))) % 55.33/55.55 (assume @p668 (forall (@list @t2 @t1 @t188 @t191) (=> @t433 (= (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t437 (tptp.hAPP @t4 @t4 @t691 (tptp.hAPP @t475 @t4 @t1259 (tptp.hAPP @t475 @t475 (tptp.hAPP @t60 @t676 @t675 @t430) @t188))))) (forall @t332 (=> @t485 (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t437 (tptp.hAPP @t4 @t4 @t691 (tptp.hAPP @t1 @t4 (tptp.hAPP @t475 @t473 (tptp.combc @t2 @t1 tptp.bool) @t188) @t330)))))))))) % 55.33/55.55 (assume @p669 (forall (@list @t2 @t1 @t350 @t191) (=> @t433 (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t437 (tptp.hAPP @t4 @t4 @t691 (tptp.hAPP @t475 @t4 @t1259 (tptp.hAPP @t11 @t475 (tptp.hAPP @t1263 (tptp.fun @t11 @t475) (tptp.combc @t2 @t11 @t11) (tptp.hAPP @t1262 @t1263 (tptp.hAPP @t1246 (tptp.fun @t1262 @t1263) (tptp.combb @t252 @t60 @t2) @t255) (tptp.hAPP @t475 @t1262 (tptp.hAPP @t253 (tptp.fun @t475 @t1262) (tptp.combb @t11 @t252 @t2) @t254) (tptp.hAPP @t13 @t475 (tptp.hAPP @t1261 (tptp.fun @t13 @t475) (tptp.combc @t2 @t13 @t11) (tptp.hAPP @t131 @t1261 (tptp.hAPP (tptp.fun @t4 @t1260) (tptp.fun @t131 @t1261) (tptp.combb @t4 @t1260 @t2) (tptp.combb @t2 tptp.bool @t1)) @t472)) @t350)))) @t191)))))))) % 55.33/55.55 (assume @p670 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t277 (= (tptp.hAPP @t1 @t1 @t935 @t1232) (tptp.hAPP @t11 @t1 @t1231 (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t125 @t11 @t1256 (tptp.hAPP @t11 @t125 (tptp.hAPP @t154 @t340 @t339 (tptp.hAPP @t1240 @t154 @t1247 (tptp.hAPP @t125 @t1240 @t1242 (tptp.hAPP @t18 @t125 @t1258 @t935)))) @t476))))))))))) % 55.33/55.55 (assume @p671 (forall @t22 (=> @t21 (forall @t917 (=> @t423 (=> @t277 (=> @t523 (=> @t897 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t914 @t1232) @t1264) (tptp.hAPP @t11 @t1 @t1231 (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t125 @t11 @t1256 (tptp.hAPP @t144 @t125 @t1257 (tptp.hAPP @t125 @t144 (tptp.hAPP @t1251 @t1254 @t1253 (tptp.hAPP @t1248 @t1251 @t1252 (tptp.hAPP @t1243 @t1248 @t1249 (tptp.hAPP @t144 @t1243 @t1244 (tptp.hAPP @t19 @t144 @t1239 @t914))))) @t1233)))))))))))))) % 55.33/55.55 (assume @p672 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t291 (= @t1265 @t1232))))))) % 55.33/55.55 (assume @p673 (forall @t22 (=> @t21 (forall @t323 (= (tptp.hAPP @t11 @t1 @t1231 @t321) @t295))))) % 55.33/55.55 (assume @p674 (forall @t22 (=> @t21 (forall @t656 (=> @t423 (=> @t226 (= (tptp.hAPP @t1 @t1 @t981 @t1232) @t229))))))) % 55.33/55.55 (assume @p675 (forall @t22 (=> @t21 (forall @t439 (=> @t423 (= @t1232 @t1220)))))) % 55.33/55.55 (assume @p676 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t292 @t1267)))))) % 55.33/55.55 (assume @p677 (forall @t22 (=> @t21 (forall @t509 (=> @t423 @t1267))))) % 55.33/55.55 (assume @p678 (forall @t22 (=> @t21 (forall @t917 (=> @t423 (=> @t897 (=> @t799 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t133 @t1264) @t1232) @t1232)))))))) % 55.33/55.55 (assume @p679 (forall @t22 (=> @t1271 (forall @t1270 (=> @t537 (=> @t536 (= (tptp.hAPP @t1 @t1 @t1268 @t923) (tptp.hAPP @t11 @t1 @t24 @t1269)))))))) % 55.33/55.55 (assume @p680 (forall @t22 (=> @t1271 (forall @t1270 (=> @t537 (=> @t536 (= (tptp.hAPP @t1 @t1 @t1268 @t919) (tptp.hAPP @t11 @t1 @t25 @t1269)))))))) % 55.33/55.55 (assume @p681 (forall @t22 (=> @t21 (forall @t656 (=> @t423 (= (tptp.hAPP @t11 @t1 @t1231 @t281) @t1223)))))) % 55.33/55.55 (assume @p682 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t292 (= @t1266 @t1222))))))) % 55.33/55.55 (assume @p683 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t291 (and (=> @t503 (= @t1232 @t295)) (=> @t504 (= @t1232 @t1272))))))))) % 55.33/55.55 (assume @p684 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (and (=> @t503 (= @t1266 @t295)) (=> @t504 (= @t1266 @t1272)))))))) % 55.33/55.55 (assume @p685 (forall @t22 (=> @t21 (forall @t541 (=> @t1225 (=> @t537 (=> @t536 (= (tptp.hAPP @t1 @t1 @t436 (tptp.hAPP @t11 @t1 @t1231 @t408)) (tptp.hAPP @t11 @t1 @t1231 @t535))))))))) % 55.33/55.55 (assume @p686 (forall @t22 (=> @t21 (forall @t439 (=> @t423 (=> @t277 (=> @t1226 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t1 @t55 @t167 @t1232) @t223))))))))) % 55.33/55.55 (assume @p687 (forall @t275 (= (exists @t461 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t191 @t460))) (forall (@list @t1273) (=> (forall @t272 (=> @t271 @t1274)) @t1274))))) % 55.33/55.55 (assume @p688 (forall @t300 (=> @t423 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 @t1276) @t1275))))) % 55.33/55.55 (assume @p689 (forall @t9 (=> @t1285 (forall @t1284 (=> @t1283 (=> @t1281 (=> @t1279 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t1277) @t224))))))))) % 55.33/55.55 (assume @p690 (forall @t22 (=> @t145 (forall @t1287 (=> (= @t229 (tptp.hAPP @t1 @t1 @t350 @t227)) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t878 @t227)) (=> (forall @t429 (=> @t1286 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 (tptp.hAPP @t1 @t1 @t350 @t330)) (tptp.hAPP @t1 @t1 @t350 @t270))))) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 (tptp.hAPP @t1 @t1 @t350 @t189)) @t224))))))))) % 55.33/55.55 (assume @p691 (forall (@list @t995) (= (tptp.hAPP @t148 tptp.nat @t1288 (tptp.hAPP tptp.nat @t148 @t908 @t995)) @t995))) % 55.33/55.55 (assume @p692 (forall @t300 (=> @t423 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1290 @t1289))))) % 55.33/55.55 (assume @p693 (forall @t521 (=> @t523 (=> @t804 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 @t1291) @t1275)) @t283))))) % 55.33/55.55 (assume @p694 (forall @t521 (=> @t523 (=> @t804 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1290 @t1291)))))) % 55.33/55.55 (assume @p695 (forall @t403 (=> @t423 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 (tptp.hAPP @t4 tptp.nat @t1292 @t384)) @t1275))))) % 55.33/55.55 (assume @p696 (forall @t521 (=> @t523 (=> @t799 (= @t1295 @t1294))))) % 55.33/55.55 (assume @p697 (forall @t521 (=> @t523 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 @t1294) @t1295))))) % 55.33/55.55 (assume @p698 (forall (@list @t2 @t1 @t324 @t793 @t673 @t658) (=> @t667 (=> @t695 (=> (forall @t272 (=> (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t390 @t673)) (= (tptp.hAPP @t11 tptp.nat @t47 (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t11 @t11 @t663 @t1298))) @t793))) (= (tptp.hAPP @t11 tptp.nat (tptp.hAPP @t646 @t48 @t645 (tptp.hAPP @t473 @t646 @t1297 @t693)) @t658) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1015 @t793) (tptp.hAPP @t4 tptp.nat @t1292 @t673)))))))) % 55.33/55.55 (assume @p699 (forall (@list @t2 @t1 @t324 @t793 @t184 @t1301) (=> (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t54 @t1301)) (=> (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t437 @t184)) (=> (forall @t272 (=> (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t390 @t184)) (= (tptp.hAPP @t11 tptp.nat @t47 (tptp.hAPP @t11 @t11 @t151 (tptp.hAPP @t11 @t11 (tptp.hAPP @t252 @t60 @t255 (tptp.hAPP @t11 @t252 @t254 (tptp.hAPP @t11 @t11 @t304 @t1301))) @t1298))) (tptp.hAPP @t2 tptp.nat @t793 @t270)))) (= (tptp.hAPP @t11 tptp.nat (tptp.hAPP @t646 @t48 @t645 (tptp.hAPP @t473 @t646 @t1297 (tptp.hAPP @t473 @t473 @t692 (tptp.hAPP @t473 @t473 (tptp.hAPP @t363 @t690 @t689 (tptp.hAPP @t686 @t363 @t688 (tptp.hAPP @t4 @t686 @t687 (tptp.hAPP @t4 @t4 @t685 @t184)))) @t324)))) @t1301) (tptp.hAPP @t4 tptp.nat (tptp.hAPP @t1300 @t1296 @t1299 @t793) @t184))))))) % 55.33/55.55 (assume @p700 (forall @t300 (=> @t423 @t1303))) % 55.33/55.55 (assume @p701 (forall @t9 (=> @t626 (forall @t439 (= (tptp.hAPP @t4 @t1 (tptp.hAPP @t6 @t5 @t618 (tptp.hAPP @t1 @t6 @t1304 @t75)) @t223) @t75))))) % 55.33/55.55 (assume @p702 (forall @t1061 (= (= @t1306 @t1302) @t1305))) % 55.33/55.55 (assume @p703 (forall @t1034 (= (tptp.hAPP tptp.nat tptp.nat @t1079 @t1302) @t1032))) % 55.33/55.55 (assume @p704 (forall @t1061 (= (= @t1302 @t1306) @t1305))) % 55.33/55.55 (assume @p705 (forall @t1034 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1015 @t1302) @t1032) @t1032))) % 55.33/55.55 (assume @p706 (forall @t40 (=> @t1309 @t1308))) % 55.33/55.55 (assume @p707 (forall @t40 (=> @t729 @t1308))) % 55.33/55.55 (assume @p708 (forall @t40 (=> @t1310 @t1308))) % 55.33/55.55 (assume @p709 (forall @t40 (=> @t1309 @t1311))) % 55.33/55.55 (assume @p710 (forall @t40 (=> @t729 @t1311))) % 55.33/55.55 (assume @p711 (forall @t40 (=> @t1310 @t1311))) % 55.33/55.55 (assume @p712 (forall (@list @t1 @t350 @t352) (=> @t438 (= (= (tptp.hAPP @t11 tptp.nat @t1313 @t352) @t1302) (forall @t272 (=> @t1312 (= (tptp.hAPP @t1 tptp.nat @t350 @t270) @t1302))))))) % 55.33/55.55 (assume @p713 (forall @t22 (=> @t76 (forall @t323 (= (= @t75 @t295) @t1314))))) % 55.33/55.55 (assume @p714 (forall @t40 (=> @t729 (forall (@list @t558 @t726) (= (tptp.hAPP @t29 @t29 @t728 @t726) @t1316))))) % 55.33/55.55 (assume @p715 (forall @t40 (=> @t729 (forall (@list @t726 @t558) (= (tptp.hAPP @t29 @t29 @t1317 @t727) @t1316))))) % 55.33/55.55 (assume @p716 (forall @t40 (=> @t729 (forall @t1031 (= (tptp.hAPP @t29 @t29 @t1317 @t726) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t85 @t1318) @t726)))))) % 55.33/55.55 (assume @p717 (forall @t22 (=> (tptp.ring_11004092258visors @t1) (forall @t323 (= (= (tptp.hAPP @t1 @t1 @t507 @t284) @t75) (or @t1314 (= @t295 (tptp.hAPP @t1 @t1 @t1143 @t75)))))))) % 55.33/55.55 (assume @p718 (forall @t40 (=> @t1178 (forall @t567 (= @t1150 (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t85 @t1319) @t564)))))) % 55.33/55.55 (assume @p719 (forall @t9 (=> @t626 (forall (@list @t360) (= (tptp.hAPP @t4 @t1 @t619 @t361) @t75))))) % 55.33/55.55 (assume @p720 (forall @t9 (=> @t626 (forall (@list @t350) (= (tptp.hAPP @t4 @t1 @t620 @t361) @t75))))) % 55.33/55.55 (assume @p721 (forall @t15 (=> @t14 (forall @t1177 (=> @t479 (= @t644 @t1320)))))) % 55.33/55.55 (assume @p722 (forall @t15 (=> @t14 (forall @t1322 (=> @t479 @t1321))))) % 55.33/55.55 (assume @p723 (forall @t15 (=> @t14 (forall @t1332 (=> @t667 (and (=> @t1329 (= @t1328 @t1331)) (=> @t1330 (= @t1328 @t1320)))))))) % 55.33/55.55 (assume @p724 (forall @t15 (=> @t14 (forall @t1332 (=> @t667 (and (=> @t1329 (= @t1334 @t1331)) (=> @t1330 (= @t1334 @t1320)))))))) % 55.33/55.55 (assume @p725 (forall @t280 (= @t1275 (tptp.hAPP @t11 tptp.nat (tptp.hAPP @t646 @t48 @t645 (tptp.hAPP tptp.nat @t646 (tptp.combk tptp.nat @t1) @t1302)) @t223)))) % 55.33/55.55 (assume @p726 (forall @t300 (=> @t423 (=> @t292 (= @t1289 (tptp.hAPP tptp.nat tptp.nat @t1335 @t1275)))))) % 55.33/55.55 (assume @p727 (forall (@list @t1 @t236 @t224 @t223) (=> @t423 (=> @t226 (=> @t240 (= (tptp.hAPP @t11 tptp.nat @t47 @t532) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 @t1295) @t1302))))))) % 55.33/55.55 (assume @p728 (forall @t300 (=> @t423 (= @t1289 @t1336)))) % 55.33/55.55 (assume @p729 (forall @t300 (=> @t423 (=> @t291 (= @t1275 @t1336))))) % 55.33/55.55 (assume @p730 (forall @t300 (=> @t423 (and @t1303 (=> @t292 (= @t1276 @t1275)))))) % 55.33/55.55 (assume @p731 (forall @t15 (=> @t14 (forall @t1343 (=> @t1342 (=> @t1341 (=> @t1340 (= @t1338 @t1337)))))))) % 55.33/55.55 (assume @p732 (forall @t15 (=> @t14 (forall @t1343 (=> @t1342 (=> @t1341 (=> @t1340 (= @t1337 @t1338)))))))) % 55.33/55.55 (assume @p733 (forall @t15 (=> @t14 (forall @t1322 (=> @t423 (=> (forall @t272 (=> @t279 (= @t399 @t1320))) @t1321)))))) % 55.33/55.55 (assume @p734 (forall @t15 (=> @t14 (forall (@list @t350 @t352) (=> (forall @t272 (=> @t1312 @t1339)) (= (tptp.hAPP @t11 @t2 @t643 @t352) @t1320)))))) % 55.33/55.55 (assume @p735 (forall @t22 (=> @t1354 (forall (@list @t224 @t318 @t907) (= (tptp.hAPP @t1 @t1 @t1353 (tptp.hAPP @t148 @t1 (tptp.hAPP @t139 @t1352 @t1351 (tptp.hAPP @t139 @t139 (tptp.hAPP @t18 @t1350 (tptp.combb @t1 @t1 tptp.nat) @t748) (tptp.hAPP @t1 @t139 (tptp.hAPP @t1348 @t140 (tptp.combc tptp.nat @t1 @t1) (tptp.hAPP @t139 @t1348 (tptp.hAPP @t19 @t1349 @t1347 @t82) @t1344)) @t318))) @t909)) (tptp.hAPP @t1 @t1 @t1346 (tptp.hAPP @t1 @t1 @t748 (tptp.hAPP @t1 @t1 @t748 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t82 (tptp.hAPP tptp.nat @t1 @t1344 (tptp.hAPP tptp.nat tptp.nat @t1006 @t1302))) @t318))))))))) % 55.33/55.55 (assume @p736 (forall @t9 (=> @t626 (forall (@list @t436 @t360 @t658 @t324) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t324 @t75) @t75)) (=> (forall (@list @t460 @t1357 @t1356 @t1355) (=> (and (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t324 @t460) @t1356)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t324 @t1357) @t1355))) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t324 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t82 @t460) @t1357)) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t82 @t1356) @t1355))))) (=> (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t437 @t658)) (=> (forall @t272 (=> (tptp.hBOOL (tptp.hAPP @t4 tptp.bool @t390 @t658)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t324 (tptp.hAPP @t2 @t1 @t436 @t270)) @t571)))) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t324 (tptp.hAPP @t4 @t1 (tptp.hAPP @t6 @t5 @t618 @t436) @t658)) (tptp.hAPP @t4 @t1 @t619 @t658))))))))))) % 55.33/55.55 (assume @p737 (forall @t22 (=> (tptp.semiring_char_0 @t1) (forall @t1061 (= (= @t1358 @t1345) @t1111))))) % 55.33/55.55 (assume @p738 (forall @t22 (=> @t1359 (forall @t1061 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t1358) @t1345)) @t1005))))) % 55.33/55.55 (assume @p739 (forall @t40 (=> @t118 (forall @t1037 (= (tptp.hAPP tptp.nat @t29 @t116 @t1065) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t77 @t1361) @t1360)))))) % 55.33/55.55 (assume @p740 (forall @t40 (=> @t118 (forall @t1037 (= (tptp.hAPP tptp.nat @t29 @t116 @t1125) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t85 @t1361) @t1360)))))) % 55.33/55.55 (assume @p741 (forall @t40 (=> @t118 (= (tptp.hAPP tptp.nat @t29 @t116 @t1302) @t1307)))) % 55.33/55.55 (assume @p742 (forall @t40 (=> @t1362 (forall @t1064 (=> @t1035 (= (tptp.hAPP tptp.nat @t29 @t116 @t1072) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t713 @t1361) @t1360))))))) % 55.33/55.55 (assume @p743 (forall @t9 (=> @t1364 (forall @t1363 (= (tptp.hAPP @t4 @t1 (tptp.hAPP @t6 @t5 @t3 (tptp.hAPP @t1 @t6 @t1304 @t296)) @t223) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t82 (tptp.hAPP tptp.nat @t1 @t1344 (tptp.hAPP @t4 tptp.nat @t1292 @t223))) @t296)))))) % 55.33/55.56 (assume @p744 (forall @t15 (=> (and @t904 (tptp.semiring_1 @t2)) (forall (@list @t350 @t899 @t223) (=> (forall @t903 (=> (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t902 @t223)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t901 @t899)))) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t4 @t130 @t578) (tptp.hAPP @t2 @t2 (tptp.hAPP @t2 @t50 @t587 (tptp.hAPP tptp.nat @t2 (tptp.semiring_1_of_nat @t2) @t1275)) @t899)))))))) % 55.33/55.56 (assume @p745 (forall @t9 (=> (and @t626 @t1364) (forall @t1177 (= (tptp.hAPP tptp.nat @t1 @t1344 (tptp.hAPP @t4 tptp.nat (tptp.hAPP @t1300 @t1296 (tptp.big_co302546470etprod @t2 tptp.nat) @t350) @t223)) (tptp.hAPP @t4 @t1 (tptp.hAPP @t6 @t5 @t618 @t1365) @t223)))))) % 55.33/55.56 (assume @p746 (forall @t9 (=> @t1364 (forall @t1177 (= (tptp.hAPP tptp.nat @t1 @t1344 (tptp.hAPP @t4 tptp.nat (tptp.hAPP @t1300 @t1296 @t1299 @t350) @t223)) (tptp.hAPP @t4 @t1 (tptp.hAPP @t6 @t5 @t3 @t1365) @t223)))))) % 55.33/55.56 (assume @p747 (forall (@list @t726 @t1032 @t777) (= (tptp.hAPP tptp.int tptp.int @t1372 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1368 @t1370) @t777)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1368 @t1367) @t777)))) % 55.33/55.56 (assume @p748 (forall @t1037 (= (tptp.hAPP tptp.int tptp.int @t1372 @t1370) @t1367))) % 55.33/55.56 (assume @p749 (forall @t1061 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1375 @t1374) @t1373)) @t1005))) % 55.33/55.56 (assume @p750 (forall @t1037 (= @t1379 @t1377))) % 55.33/55.56 (assume @p751 (forall @t1037 (= @t1377 @t1379))) % 55.33/55.56 (assume @p752 (= @t1381 @t1380)) % 55.33/55.56 (assume @p753 (forall @t376 (= (tptp.hAPP tptp.nat tptp.int @t1366 @t648) (tptp.hAPP @t11 tptp.int (tptp.hAPP @t1382 @t1385 (tptp.big_co1399186613setsum @t1 tptp.int) @t1384) @t223)))) % 55.33/55.56 (assume @p754 (forall @t376 (= (tptp.hAPP tptp.nat tptp.int @t1366 (tptp.hAPP @t11 tptp.nat @t1313 @t223)) (tptp.hAPP @t11 tptp.int (tptp.hAPP @t1382 @t1385 (tptp.big_co302546470etprod @t1 tptp.int) @t1384) @t223)))) % 55.33/55.56 (assume @p755 (forall @t1064 (=> @t1035 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1386 @t1371) @t1370) (tptp.hAPP tptp.nat tptp.int @t1366 @t1072))))) % 55.33/55.56 (assume @p756 (forall @t22 (=> @t1354 (forall @t1388 (= (tptp.hAPP @t1 @t1 @t1353 (tptp.hAPP @t148 @t1 (tptp.hAPP @t139 @t1352 @t1351 @t1344) (tptp.hAPP tptp.nat @t148 (tptp.hAPP tptp.nat @t149 @t1387 @t1302) @t907))) (tptp.hAPP @t1 @t1 @t1346 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t701 @t1345) @t75))))))) % 55.33/55.56 (assume @p757 (forall @t15 (=> @t14 (forall (@list @t227 @t189 @t224 @t658) (=> @t667 (and (=> @t1329 (= @t1393 (tptp.hAPP @t2 @t2 (tptp.hAPP @t2 @t50 @t587 @t1331) (tptp.hAPP tptp.nat @t2 @t1392 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 @t1389) @t1302))))) (=> @t1330 (= @t1393 (tptp.hAPP tptp.nat @t2 @t1392 @t1389))))))))) % 55.33/55.56 (assume @p758 (forall (@list @t1 @t296 @t284 @t223) (=> @t423 (=> @t291 (=> (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t1 @t55 @t167 @t296) @t223)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 (tptp.hAPP @t11 tptp.nat @t47 (tptp.hAPP @t11 @t11 (tptp.hAPP @t11 @t60 @t499 @t501) (tptp.hAPP @t11 @t11 @t298 @t242)))) @t1275))))))) % 55.33/55.56 (assume @p759 (forall @t1064 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1375 (tptp.hAPP tptp.int tptp.int @t1395 @t1370)) @t1371)))) % 55.33/55.56 (assume @p760 (forall @t1397 (tptp.hBOOL (tptp.hAPP @t148 tptp.bool @t924 (tptp.hAPP tptp.nat @t148 (tptp.hAPP tptp.nat @t149 @t1387 @t1396) @t995))))) % 55.33/55.56 (assume @p761 (forall @t796 (tptp.hBOOL (tptp.hAPP @t148 tptp.bool @t924 (tptp.hAPP @t148 @t148 @t926 (tptp.hAPP tptp.nat @t148 @t1398 @t793)))))) % 55.33/55.56 (assume @p762 (forall @t1403 (= @t1402 (exists @t998 (= @t388 (tptp.hAPP tptp.int tptp.int @t1400 @t1399)))))) % 55.33/55.56 (assume @p763 (forall @t1037 (= @t1408 @t1405))) % 55.33/55.56 (assume @p764 (forall @t1037 (= @t1405 @t1408))) % 55.33/55.56 (assume @p765 (forall @t1061 (= (= @t1374 @t1373) @t1111))) % 55.33/55.56 (assume @p766 (forall @t1413 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1378 @t1412) @t1409) (tptp.hAPP tptp.int tptp.int @t1395 @t1411)))) % 55.33/55.56 (assume @p767 (forall @t1413 (= @t1417 @t1414))) % 55.33/55.56 (assume @p768 (forall @t1413 (= @t1414 @t1417))) % 55.33/55.56 (assume @p769 (forall @t1413 (= (tptp.hAPP tptp.int tptp.int @t1395 @t1418) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1368 @t1412) @t1415)))) % 55.33/55.56 (assume @p770 (forall (@list @t1409) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1419 @t1409)))) % 55.33/55.56 (assume @p771 (forall @t1413 (or @t1421 @t1420))) % 55.33/55.56 (assume @p772 (forall @t1027 (=> @t1423 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1375 @t1014) @t1017)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1422 @t1017)))))) % 55.33/55.56 (assume @p773 (forall @t1413 (=> @t1421 (=> @t1420 (= @t777 @t1409))))) % 55.33/55.56 (assume @p774 (forall @t1429 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1378 (tptp.hAPP tptp.int tptp.int @t1428 @t1425)) @t1424) (tptp.hAPP tptp.int tptp.int @t1428 (tptp.hAPP tptp.int tptp.int @t1426 @t1424))))) % 55.33/55.56 (assume @p775 (forall @t781 (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int @t1383 @t1404 @t1431) @t777) (tptp.hAPP tptp.nat tptp.int @t1430 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1015 @t778) @t777))))) % 55.33/55.56 (assume @p776 (forall @t1413 (= @t1411 (tptp.hAPP tptp.int tptp.int @t1432 @t777)))) % 55.33/55.56 (assume @p777 (forall @t1436 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1378 @t1435) @t1409) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1386 @t1434) @t1433)))) % 55.33/55.56 (assume @p778 (forall @t1439 (= (tptp.hAPP tptp.int tptp.int @t1432 @t1435) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1386 @t1438) @t1437)))) % 55.33/55.56 (assume @p779 (forall @t1429 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1368 @t1441) @t1424) (tptp.hAPP tptp.int tptp.int @t1440 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1368 @t1425) @t1424))))) % 55.33/55.56 (assume @p780 (forall @t781 (= (tptp.hAPP tptp.int tptp.int @t1442 (tptp.hAPP tptp.int tptp.int @t1443 @t777)) (tptp.hAPP tptp.int tptp.int @t1443 (tptp.hAPP tptp.int tptp.int @t1442 @t777))))) % 55.33/55.56 (assume @p781 (forall @t1413 (= @t1418 @t1445))) % 55.33/55.56 (assume @p782 (forall @t781 (= (tptp.hAPP tptp.nat tptp.int @t1430 @t1131) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1378 @t1431) (tptp.hAPP tptp.nat tptp.int @t1430 @t777))))) % 55.33/55.56 (assume @p783 (forall @t1439 (= (tptp.hAPP tptp.int tptp.int @t1432 @t1441) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1368 @t1438) @t1437)))) % 55.33/55.56 (assume @p784 (forall @t1436 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1378 @t1441) @t1409) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1368 @t1434) @t1433)))) % 55.33/55.56 (assume @p785 (forall @t1027 (=> @t1423 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1375 (tptp.hAPP tptp.int tptp.int @t1446 @t1018)) (tptp.hAPP tptp.int tptp.int @t1446 @t1014)))))) % 55.33/55.56 (assume @p786 (forall @t1447 (= (tptp.hAPP tptp.int tptp.int @t1410 @t1380) @t777))) % 55.33/55.56 (assume @p787 (forall @t1447 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1378 @t1380) @t777) @t777))) % 55.33/55.56 (assume @p788 (forall @t40 (=> @t729 (forall @t567 (= (tptp.hAPP tptp.nat @t29 @t1449 @t1302) @t565))))) % 55.33/55.56 (assume @p789 (forall @t22 (=> @t21 (forall @t951 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t1207) @t388)) (and @t1453 @t1451)))))) % 55.33/55.56 (assume @p790 (forall @t22 (=> @t21 (forall @t1213 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1454 @t1207)) (or @t1456 @t1455)))))) % 55.33/55.56 (assume @p791 (forall @t40 (=> @t810 (forall @t1209 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1458 @t568)) @t1459))))) % 55.33/55.56 (assume @p792 (forall @t40 (=> @t810 (forall @t958 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1458 @t558)) @t1459))))) % 55.33/55.56 (assume @p793 (forall (@list @t1 @t223 @t350 @t907) (=> (= @t267 (tptp.hAPP @t148 @t11 (tptp.hAPP @t139 @t1462 @t1461 @t350) @t1460)) @t423))) % 55.33/55.56 (assume @p794 (forall @t1078 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1464 @t1017)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1463 @t1017))))) % 55.33/55.56 (assume @p795 (forall (@list @t726 @t1032 @t1017 @t1013) (=> @t1467 (=> (= (tptp.hAPP tptp.nat tptp.nat @t1042 @t1013) @t1084) @t1466)))) % 55.33/55.56 (assume @p796 (forall @t1025 (=> @t1469 (=> @t1467 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1468 @t1047)))))) % 55.33/55.56 (assume @p797 (forall @t1027 (=> @t1469 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1468 @t1051))))) % 55.33/55.56 (assume @p798 (forall @t1053 (=> @t1469 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1463 @t1052))))) % 55.33/55.56 (assume @p799 (forall @t1053 (=> @t1469 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1463 @t1054))))) % 55.33/55.56 (assume @p800 (forall @t1058 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t1057) @t1056)) @t1471))) % 55.33/55.56 (assume @p801 (forall (@list @t1014 @t1018) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t1108) @t1018))))) % 55.33/55.56 (assume @p802 (forall (@list @t1018 @t1014) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1464 @t1018))))) % 55.33/55.56 (assume @p803 (forall @t40 (=> @t729 (forall @t1475 (= (tptp.hAPP tptp.nat @t29 (tptp.hAPP @t29 @t117 @t1448 @t1474) @t1472) (tptp.hAPP tptp.nat @t29 @t1449 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1015 @t1473) @t1472))))))) % 55.33/55.56 (assume @p804 (forall @t40 (=> @t860 (forall @t833 (=> @t1478 @t1477))))) % 55.33/55.56 (assume @p805 (forall @t40 (=> @t860 (forall @t863 (=> @t1480 @t1477))))) % 55.33/55.56 (assume @p806 (forall @t40 (=> @t1484 (forall @t865 (=> @t1477 @t1483))))) % 55.33/55.56 (assume @p807 (forall @t40 (=> @t1484 (forall @t833 (=> @t1477 @t1478))))) % 55.33/55.56 (assume @p808 (forall @t40 (=> @t1484 (forall @t833 (=> @t1477 @t1480))))) % 55.33/55.56 (assume @p809 (forall @t22 (=> @t871 (forall @t870 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t745) @t869)) @t1486))))) % 55.33/55.56 (assume @p810 (forall @t22 (=> @t871 (forall @t873 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t749) @t872)) @t1486))))) % 55.33/55.56 (assume @p811 (forall @t40 (=> @t729 (forall (@list @t564 @t778 @t1472) (= (tptp.hAPP tptp.nat @t29 (tptp.hAPP @t29 @t117 @t1448 @t779) @t1472) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t85 @t1487) (tptp.hAPP tptp.nat @t29 (tptp.hAPP @t29 @t117 @t1448 @t778) @t1472))))))) % 55.33/55.56 (assume @p812 (forall @t40 (=> @t810 (forall @t963 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1476 @t564)) @t1488))))) % 55.33/55.56 (assume @p813 (forall @t40 (=> @t810 (forall @t961 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1489 @t564)) @t1488))))) % 55.33/55.56 (assume @p814 (forall @t22 (=> @t21 (forall @t1213 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1454 @t950)) (and @t1456 @t1455)))))) % 55.33/55.56 (assume @p815 (forall @t22 (=> @t21 (forall @t951 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t950) @t388)) (or @t1453 @t1451)))))) % 55.33/55.56 (assume @p816 (forall @t1061 (= @t1471 (and @t1005 @t1490)))) % 55.33/55.56 (assume @p817 (forall @t1061 (= @t1005 (or @t1471 @t1111)))) % 55.33/55.56 (assume @p818 (forall @t1037 (=> @t1466 @t1036))) % 55.33/55.56 (assume @p819 (forall @t1037 (=> @t1036 (=> @t1491 @t1466)))) % 55.33/55.56 (assume @p820 (forall @t1037 (=> (or @t1466 @t1038) @t1036))) % 55.33/55.56 (assume @p821 (forall (@list @t1032 @t1014 @t1017) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t1014) @t1017)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 (tptp.hAPP tptp.nat tptp.nat @t1086 @t1032)) @t1017))))) % 55.33/55.56 (assume @p822 (forall @t1099 (=> @t1466 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1465 @t1013)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t1098) @t1097)))))) % 55.33/55.56 (assume @p823 (forall @t22 (=> @t127 (forall @t1493 (= (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t1492 @t795)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t1090) @t793))))))) % 55.33/55.56 (assume @p824 (forall @t22 (=> @t21 (forall @t845 (= @t1495 @t842))))) % 55.33/55.56 (assume @p825 (forall @t22 (=> @t21 (forall @t845 (= (not @t839) @t1496))))) % 55.33/55.56 (assume @p826 (forall @t40 (=> @t810 (forall @t809 (or @t808 @t1498))))) % 55.33/55.56 (assume @p827 (forall @t22 (=> @t145 (forall @t845 (= @t1494 (and @t839 @t1499)))))) % 55.33/55.56 (assume @p828 (forall @t22 (=> @t1500 (forall @t845 (= @t1494 (and @t839 (not @t842))))))) % 55.33/55.56 (assume @p829 (forall @t22 (=> @t145 (forall @t845 (= @t839 (or @t1494 @t836)))))) % 55.33/55.56 (assume @p830 (forall @t40 (=> @t810 (forall @t809 (=> @t1502 @t807))))) % 55.33/55.56 (assume @p831 (forall @t40 (=> @t810 (forall @t821 (=> (not @t807) @t1501))))) % 55.33/55.56 (assume @p832 (forall @t22 (=> @t21 (forall @t845 (=> @t1495 @t840))))) % 55.33/55.56 (assume @p833 (forall @t40 (=> @t818 (forall @t570 (=> @t1503 (=> @t832 @t1477)))))) % 55.33/55.56 (assume @p834 (forall @t40 (=> @t818 (forall @t570 (=> @t1503 (=> @t828 @t1504)))))) % 55.33/55.56 (assume @p835 (forall @t40 (=> @t810 (forall @t821 (=> @t807 @t1502))))) % 55.33/55.56 (assume @p836 (forall @t40 (=> @t802 (forall @t809 (=> @t1501 @t808))))) % 55.33/55.56 (assume @p837 (forall @t22 (=> @t21 (forall @t845 (=> @t839 @t1505))))) % 55.33/55.56 (assume @p838 (forall @t40 (=> @t818 (forall @t809 (=> @t808 (or @t1501 @t820)))))) % 55.33/55.56 (assume @p839 (forall @t40 (=> @t818 (forall @t570 (=> @t832 (=> @t1503 @t1477)))))) % 55.33/55.56 (assume @p840 (forall @t40 (=> @t818 (forall @t1506 (=> @t828 (=> @t1503 @t1504)))))) % 55.33/55.56 (assume @p841 (forall @t40 (=> @t802 (forall @t824 (=> @t1501 (=> @t823 @t1507)))))) % 55.33/55.56 (assume @p842 (forall @t40 (=> @t818 (forall @t817 (=> @t1498 (=> @t816 @t1509)))))) % 55.33/55.56 (assume @p843 (forall @t40 (=> @t802 (forall @t824 (=> @t808 @t1510))))) % 55.33/55.56 (assume @p844 (forall @t40 (=> @t818 (forall @t817 (=> @t807 @t1511))))) % 55.33/55.56 (assume @p845 (forall @t40 (=> @t875 (forall @t562 (not (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1476 @t874))))))) % 55.33/55.56 (assume @p846 (forall @t22 (=> @t123 (forall @t877 (= (not @t876) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t122) @t224))))))) % 55.33/55.56 (assume @p847 (forall @t22 (=> @t880 (forall @t776 (=> @t775 (= @t1486 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1512 @t318)))))))) % 55.33/55.56 (assume @p848 (forall @t40 (=> @t1515 @t1514))) % 55.33/55.56 (assume @p849 (forall @t40 (=> @t810 (forall @t809 (=> @t1502 (=> @t1513 @t1498)))))) % 55.33/55.56 (assume @p850 (forall @t40 (=> @t802 (forall @t809 (=> @t1501 (not @t1498)))))) % 55.33/55.56 (assume @p851 (forall @t40 (=> @t818 (forall @t817 (=> @t1498 @t1511))))) % 55.33/55.56 (assume @p852 (forall @t40 (=> @t802 (forall @t824 (=> @t1501 @t1510))))) % 55.33/55.56 (assume @p853 (forall @t40 (=> @t818 (forall @t829 (=> @t1504 (=> @t731 @t1516)))))) % 55.33/55.56 (assume @p854 (forall @t40 (=> @t135 (forall @t833 (=> @t1477 (=> @t731 @t1517)))))) % 55.33/55.56 (assume @p855 (forall @t40 (=> @t818 (forall @t833 (=> @t834 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1482 @t568)) @t1516)))))) % 55.33/55.56 (assume @p856 (forall @t40 (=> @t135 (forall @t833 (=> @t834 (=> @t1518 @t1517)))))) % 55.33/55.56 (assume @p857 (forall @t40 (=> @t818 (forall @t1506 (=> @t1504 (not @t1477)))))) % 55.33/55.56 (assume @p858 (forall @t40 (=> @t802 (forall @t570 (=> @t1477 (not @t1504)))))) % 55.33/55.56 (assume @p859 (forall @t22 (=> @t1500 (forall (@list @t191 @t284 @t296) (=> @t1494 (=> @t1496 @t406)))))) % 55.33/55.56 (assume @p860 (forall @t40 (=> @t818 (forall @t809 (=> @t1501 (not (= @t819 @t565))))))) % 55.33/55.56 (assume @p861 (forall @t40 (=> @t818 (forall @t809 (=> @t1501 @t1513))))) % 55.33/55.56 (assume @p862 (forall @t40 (=> @t810 @t1514))) % 55.33/55.56 (assume @p863 (forall @t22 (=> @t21 (forall @t843 (=> (not @t1496) @t1505))))) % 55.33/55.56 (assume @p864 (forall @t40 (=> @t810 (forall @t809 (or @t1501 @t820 @t1498))))) % 55.33/55.56 (assume @p865 (forall @t22 (=> @t21 (forall @t845 (= @t1495 (or @t1496 @t836)))))) % 55.33/55.56 (assume @p866 (forall @t22 (=> @t21 (forall @t845 (= @t1499 (or @t1494 @t1496)))))) % 55.33/55.56 (assume @p867 (forall @t40 (=> @t802 (forall @t567 (not (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1458 @t564))))))) % 55.33/55.56 (assume @p868 (forall @t22 (=> @t145 (forall @t1167 (=> @t1523 @t1521))))) % 55.33/55.56 (assume @p869 (forall @t22 (=> @t21 (forall @t1061 (= (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t1524 (tptp.hAPP @t1 @t11 @t150 @t1003)) (tptp.hAPP @t1 @t11 @t150 @t907))) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t1003) @t907))))))) % 55.33/55.56 (assume @p870 (forall @t22 (=> @t145 (forall @t776 (= (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t1524 @t1520) @t1528)) (and (or @t1527 (and @t1526 @t1525 (or (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1512 @t224)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1522 @t318))))) @t879)))))) % 55.33/55.56 (assume @p871 (forall @t1531 (=> (=> @t1471 @t1529) (=> (=> @t1111 @t1529) (=> (=> @t1530 @t1529) @t1529))))) % 55.33/55.56 (assume @p872 (forall (@list @t1533 @t1532) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t1533) @t1532)) (not (= @t1533 @t1532))))) % 55.33/55.56 (assume @p873 (forall @t1064 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1534 @t726)) @t1491))) % 55.33/55.56 (assume @p874 (forall @t1034 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1534 @t1032))))) % 55.33/55.56 (assume @p875 (forall @t809 (=> (not @t844) (=> (not @t1536) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t778) @t564)))))) % 55.33/55.56 (assume @p876 (forall @t1061 (= @t1490 (or @t1471 @t1530)))) % 55.33/55.56 (assume @p877 (forall @t809 (=> @t1536 @t1134))) % 55.33/55.56 (assume @p878 (forall @t1135 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1535 @t777)) @t1537))) % 55.33/55.56 (assume @p879 (forall @t824 (=> @t1536 @t1537))) % 55.33/55.56 (assume @p880 (forall @t1107 (= (tptp.hAPP @t148 @t148 (tptp.hAPP @t651 @t1540 (tptp.image tptp.nat tptp.nat) @t1539) (tptp.hAPP tptp.nat @t148 (tptp.hAPP tptp.nat @t149 @t1387 @t1090) @t1092)) (tptp.hAPP tptp.nat @t148 (tptp.hAPP tptp.nat @t149 @t1387 @t1091) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1041 @t1092) @t793))))) % 55.33/55.56 (assume @p881 (forall @t933 (= @t932 (exists @t931 (forall @t272 (=> @t930 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1541 @t927)))))))) % 55.33/55.56 (assume @p882 (forall @t22 (=> @t127 (forall @t1493 (= (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t1492 (tptp.hAPP @t1 @t11 @t146 @t793))) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t793) @t1090))))))) % 55.33/55.56 (assume @p883 (forall @t22 (=> @t880 (forall @t1167 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1542 @t1156)) @t1486))))) % 55.33/55.56 (assume @p884 (forall @t22 (=> @t880 (forall @t1159 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t1156) @t227)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1542 @t224))))))) % 55.33/55.56 (assume @p885 (forall @t22 (=> @t880 (forall @t1159 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1485 @t1157)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1522 @t1156))))))) % 55.33/55.56 (assume @p886 (forall @t40 (=> @t1151 (forall @t821 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t1457 @t1168) @t564)) (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t1457 @t1150) @t778))))))) % 55.33/55.56 (assume @p887 (forall @t40 (=> @t1151 (forall @t821 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1497 @t1150)) (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1458 @t1168))))))) % 55.33/55.56 (assume @p888 (forall @t22 (=> @t1154 (forall @t845 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t1153) @t1152)) @t1496))))) % 55.33/55.56 (assume @p889 (forall (@list @t191 @t1090) (tptp.hBOOL (tptp.hAPP @t148 tptp.bool @t924 (tptp.hAPP @t148 @t148 @t926 (tptp.hAPP @t148 @t148 (tptp.hAPP @t1543 @t1540 (tptp.combs tptp.nat tptp.bool tptp.bool) (tptp.hAPP @t148 @t1543 (tptp.hAPP @t159 (tptp.fun @t148 @t1543) (tptp.combb tptp.bool @t158 tptp.nat) tptp.fconj) @t191)) (tptp.hAPP tptp.nat @t148 @t1398 @t1090))))))) % 55.33/55.56 (assume @p890 (forall @t1388 (= (tptp.hAPP @t148 tptp.nat @t1288 @t1460) @t907))) % 55.33/55.56 (assume @p891 (forall @t40 (=> @t729 (forall @t1475 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t85 @t1474) @t1487) (tptp.hAPP tptp.nat @t29 @t1449 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1041 @t1473) @t1472))))))) % 55.33/55.56 (assume @p892 (forall @t22 (=> @t1359 (forall @t1061 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t1358) @t1345)) @t1471))))) % 55.33/55.56 (assume @p893 (forall @t40 (=> @t1545 (forall @t1037 (=> @t1466 @t1544))))) % 55.33/55.56 (assume @p894 (forall @t40 (=> @t1545 (forall @t1037 (=> @t1544 @t1466))))) % 55.33/55.56 (assume @p895 (forall @t40 (=> @t1484 (forall @t865 (=> @t1477 (=> @t864 @t1481)))))) % 55.33/55.56 (assume @p896 (forall @t40 (=> @t1484 (forall @t865 (=> @t832 @t1483))))) % 55.33/55.56 (assume @p897 (forall @t40 (=> @t1545 (forall @t562 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1476 @t1315)))))) % 55.33/55.56 (assume @p898 (forall @t40 (=> @t1545 (forall @t1064 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1546 @t726)) (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1546 @t1032)) (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1546 (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t85 @t726) @t1032))))))))) % 55.33/55.56 (assume @p899 (forall @t1037 (=> (not @t1466) @t1100))) % 55.33/55.56 (assume @p900 (forall (@list @t1090 @t1092 @t793) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t1090) @t1095)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t1091) @t1092))))) % 55.33/55.56 (assume @p901 (forall @t1012 (=> @t1011 (=> @t1010 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t1008) @t1007)) @t1471))))) % 55.33/55.56 (assume @p902 (forall @t833 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t558) @t568)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 @t722) @t558)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 @t558) @t722)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t650 @t568) @t722))))))) % 55.33/55.56 (assume @p903 (forall @t22 (=> @t145 (forall @t1159 (= @t1521 @t1527))))) % 55.33/55.56 (assume @p904 (forall @t22 (=> @t145 (forall @t1159 (= (= @t242 @t1520) @t1527))))) % 55.33/55.56 (assume @p905 (forall @t22 (=> @t145 (forall @t776 (= (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t797 @t1520) @t1528)) (or @t1527 (and @t1526 @t1525))))))) % 55.33/55.56 (assume @p906 (forall @t22 (=> @t145 (forall @t1159 (=> @t230 (= @t1520 @t245)))))) % 55.33/55.56 (assume @p907 (forall @t22 (=> @t145 (forall @t750 (= (= @t1520 (tptp.hAPP @t11 @t11 @t320 @t242)) (and @t230 @t317)))))) % 55.33/55.56 (assume @p908 (forall @t22 (=> @t145 (forall @t877 (= (tptp.hAPP @t1 @t11 @t1519 @t224) @t245))))) % 55.33/55.56 (assume @p909 (forall @t22 (=> @t880 (forall @t845 (= (tptp.hAPP @t11 @t11 @t1144 (tptp.hAPP @t1 @t11 (tptp.hAPP @t1 @t125 @t143 @t284) @t296)) (tptp.hAPP @t1 @t11 (tptp.hAPP @t1 @t125 @t143 @t1152) @t1153)))))) % 55.33/55.56 (assume @p910 (forall @t22 (=> @t8 (forall (@list @t350 @t1003 @t793 @t907) (= (tptp.hAPP @t148 @t1 @t1550 (tptp.hAPP tptp.nat @t148 (tptp.hAPP tptp.nat @t149 @t1387 @t1128) @t1127)) (tptp.hAPP @t148 @t1 (tptp.hAPP @t139 @t1352 @t1351 (tptp.hAPP @t651 @t139 @t1549 @t1539)) @t1548)))))) % 55.33/55.56 (assume @p911 (forall @t22 (=> @t894 (forall @t709 (= @t1551 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t712) @t318))))))) % 55.33/55.56 (assume @p912 (forall @t22 (=> @t894 (forall @t709 (= @t1551 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1512 @t703))))))) % 55.33/55.56 (assume @p913 (forall @t15 (=> @t14 (forall @t1363 (=> @t423 (= (tptp.hAPP @t11 @t2 (tptp.hAPP @t13 @t12 @t10 (tptp.hAPP @t2 @t13 @t364 @t296)) @t223) (tptp.hAPP tptp.nat @t2 (tptp.hAPP @t2 @t1391 @t1390 @t296) @t1275))))))) % 55.33/55.56 (assume @p914 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t277 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t916) @t284)) (exists @t272 (and @t279 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1552 @t284))))))))))) % 55.33/55.56 (assume @p915 (forall @t22 (=> @t21 (forall @t509 (=> @t423 (=> @t277 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1452 @t916)) (forall @t272 (=> @t279 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1452 @t270))))))))))) % 55.33/55.56 (assume @p916 (forall @t1124 (=> @t1123 (= @t1553 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t1122) @t907)))))) % 55.33/55.56 (assume @p917 (forall @t1116 (=> @t1106 (= @t1553 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1470 @t1112)))))) % 55.33/55.56 (assume @p918 (forall @t22 (=> @t8 (forall (@list @t350 @t1554 @t1003 @t907) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1004 @t1556)) (= (tptp.hAPP @t148 @t1 @t1550 (tptp.hAPP tptp.nat @t148 @t1547 @t1555)) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t701 (tptp.hAPP @t148 @t1 @t1550 @t1548)) (tptp.hAPP @t148 @t1 @t1550 (tptp.hAPP tptp.nat @t148 (tptp.hAPP tptp.nat @t149 @t1387 @t1556) @t1555))))))))) % 55.33/55.56 (assume @p919 (forall @t300 (=> @t423 (=> @t291 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t1276) @t1275)))))) % 55.33/55.56 (assume @p920 (forall @t40 (=> @t1545 (forall @t1561 (=> @t1560 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t800 @t1559) @t1558)) @t1036)))))) % 55.33/55.56 (assume @p921 (forall @t22 (=> @t1359 (forall @t1568 (=> @t1567 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t1565) @t1564)) @t1562)))))) % 55.33/55.56 (assume @p922 (forall @t15 (=> (and @t668 (tptp.ordere223160158up_add @t2)) (forall @t625 (=> @t423 (=> @t277 (=> (forall @t272 (=> @t279 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t1570 @t399)))) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t4 @t1569 @t578) @t672))))))))) % 55.33/55.56 (assume @p923 (forall @t1064 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1571 @t1370) (tptp.hAPP tptp.int tptp.int @t1395 @t1371)))))) % 55.33/55.56 (assume @p924 (forall (@list @t388 @t719) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1571 @t388) @t719)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1375 @t388) @t719)) (not (= @t388 @t719)))))) % 55.33/55.56 (assume @p925 (forall @t1027 (=> @t1572 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1571 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1368 @t1018) @t1017)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1368 @t1014) @t1017)))))) % 55.33/55.56 (assume @p926 (forall @t15 (=> @t132 (forall @t848 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t812 (tptp.ord_less @t13) @t350) @t360)) (and @t813 (not (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t812 @t811 @t360) @t350))))))))) % 55.33/55.56 (assume @p927 (forall @t280 (not (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t1573 @t242))))) % 55.33/55.56 (assume @p928 (forall @t521 (= @t1574 (and @t804 (not @t283))))) % 55.33/55.56 (assume @p929 (forall @t521 (= @t804 (or @t1574 @t283)))) % 55.33/55.56 (assume @p930 (forall @t521 (=> @t1574 @t804))) % 55.33/55.56 (assume @p931 (forall @t851 (=> @t1574 (=> @t850 @t1575)))) % 55.33/55.56 (assume @p932 (forall @t851 (=> @t804 @t1576))) % 55.33/55.56 (assume @p933 (forall @t851 (=> @t1574 @t1576))) % 55.33/55.56 (assume @p934 (forall @t517 (=> @t1574 @t516))) % 55.33/55.56 (assume @p935 (forall @t1447 (= (tptp.hAPP tptp.int tptp.int @t1395 @t1412) @t777))) % 55.33/55.56 (assume @p936 (forall (@list @t1577 @t777 @t1578 @t1409) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1571 @t1578) @t1409)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1375 @t1577) @t777)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1571 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1368 @t1578) @t1577)) @t1445)))))) % 55.33/55.56 (assume @p937 (forall @t1061 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1571 @t1374) @t1373)) @t1471))) % 55.33/55.56 (assume @p938 (forall @t1403 (= @t1581 (or @t1580 (= @t719 @t388))))) % 55.33/55.56 (assume @p939 (forall @t1061 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1375 @t1003) @t1585)) (= (tptp.hAPP tptp.int @t1376 @t1584 @t1585) (tptp.hAPP @t1376 @t1376 (tptp.hAPP tptp.int @t1587 @t1586 @t1585) (tptp.hAPP tptp.int @t1376 @t1584 @t907)))))) % 55.33/55.56 (assume @p940 (forall @t521 (=> @t523 (=> @t1574 @t1588)))) % 55.33/55.56 (assume @p941 (forall (@list @t1409 @t777) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1571 @t1409) @t777)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1375 (tptp.hAPP tptp.int tptp.int @t1444 @t1380)) @t777))))) % 55.33/55.56 (assume @p942 (forall @t1403 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1375 (tptp.hAPP tptp.int tptp.int @t1400 @t1380)) @t388)) @t1580))) % 55.33/55.56 (assume @p943 (forall @t1403 (= @t1581 @t1402))) % 55.33/55.56 (assume @p944 (forall @t1403 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1401 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1386 @t388) @t1380))) @t1580))) % 55.33/55.56 (assume @p945 (forall @t527 (= (tptp.hBOOL (tptp.hAPP @t11 tptp.bool @t1573 @t286)) (and (=> @t289 @t1574) (=> @t290 (and (=> @t291 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t11 @t55 @t1524 @t501) @t236))) @t896)))))) % 55.33/55.56 (assume @p946 (forall @t521 (=> @t523 (=> @t804 (=> @t1588 @t1574))))) % 55.33/55.56 (assume @p947 (forall @t40 (=> @t1309 (forall (@list @t558 @t568 @t1032) (= (tptp.hAPP tptp.nat @t29 (tptp.hAPP @t29 @t117 @t1448 @t569) @t1032) (tptp.hAPP @t29 @t29 @t1590 @t1589)))))) % 55.33/55.56 (assume @p948 (forall @t40 (=> @t1310 (forall @t1592 (= (tptp.hAPP @t29 @t29 @t1590 @t558) @t1591))))) % 55.33/55.56 (assume @p949 (forall @t40 (=> @t1310 (forall @t1034 (= (tptp.hAPP tptp.nat @t29 (tptp.hAPP @t29 @t117 @t1448 @t1307) @t1032) @t1307))))) % 55.33/55.56 (assume @p950 (forall @t40 (=> @t118 (forall @t1037 (= (tptp.hAPP tptp.nat @t29 @t116 @t1407) (tptp.hAPP tptp.nat @t29 (tptp.hAPP @t29 @t117 @t1448 @t1361) @t1032)))))) % 55.33/55.56 (assume @p951 (forall @t40 (=> @t1310 (forall @t1593 (= (tptp.hAPP tptp.nat @t29 @t1557 @t1125) (tptp.hAPP tptp.nat @t29 (tptp.hAPP @t29 @t117 @t1448 @t1559) @t1032)))))) % 55.33/55.56 (assume @p952 (forall @t40 (=> @t1310 (forall @t562 (= (tptp.hAPP tptp.nat @t29 @t1557 @t1302) @t559))))) % 55.33/55.56 (assume @p953 (forall @t40 (=> @t1545 (forall @t1596 (=> @t1595 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1594 @t1558))))))) % 55.33/55.56 (assume @p954 (forall @t22 (=> @t1359 (forall (@list @t1003 @t907 @t224) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1566 @t224)) (= (= (tptp.hAPP tptp.nat @t1 @t1597 @t1003) (tptp.hAPP tptp.nat @t1 @t1597 @t907)) @t1111)))))) % 55.33/55.56 (assume @p955 (forall @t40 (=> @t1310 (forall @t1593 (= (tptp.hAPP tptp.nat @t29 @t1557 @t1065) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t85 @t1559) @t1558)))))) % 55.33/55.56 (assume @p956 (forall @t40 (=> @t1545 (forall @t1596 (=> @t1560 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1598 @t1591))))))) % 55.33/55.56 (assume @p957 (forall @t40 (=> @t1545 (forall @t1596 (=> @t1560 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1546 @t1591))))))) % 55.33/55.56 (assume @p958 (forall @t40 (=> @t1545 (forall @t1601 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1534 @t1599)) (=> @t1560 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1598 @t1600)))))))) % 55.33/55.56 (assume @p959 (forall @t40 (=> @t1545 (forall @t1561 (=> @t1560 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t1457 @t1559) @t1558)) @t1466)))))) % 55.33/55.56 (assume @p960 (forall @t22 (=> @t1359 (forall @t1568 (=> @t1567 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t1565) @t1564)) @t1602)))))) % 55.33/55.56 (assume @p961 (forall @t40 (=> @t1545 (forall @t1601 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1033 @t1599)) (=> @t1595 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t800 @t1558) @t1600)))))))) % 55.33/55.56 (assume @p962 (forall @t40 (=> @t1362 (forall @t1592 (= (tptp.hAPP tptp.nat @t29 (tptp.hAPP @t29 @t117 @t1448 @t1155) @t1032) (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t85 (tptp.hAPP tptp.nat @t29 (tptp.hAPP @t29 @t117 @t1448 @t1319) @t1032)) @t1558)))))) % 55.33/55.56 (assume @p963 (forall @t280 (= @t423 (exists (@list @t996 @t1603) (= @t267 (tptp.hAPP @t148 @t11 (tptp.hAPP @t139 @t1462 @t1461 @t1603) (tptp.hAPP @t148 @t148 @t926 (tptp.hAPP tptp.nat @t148 @t1398 @t996)))))))) % 55.33/55.56 (assume @p964 (forall @t1609 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1375 @t1090) @t793)) (=> @t1608 @t1607)))) % 55.33/55.56 (assume @p965 (forall @t1397 (tptp.hBOOL (tptp.hAPP @t1376 tptp.bool @t1610 (tptp.hAPP tptp.int @t1376 (tptp.hAPP tptp.int @t1583 @t1582 @t1396) @t995))))) % 55.33/55.56 (assume @p966 (forall @t809 (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1571 @t564) @t778)) @t844 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1571 @t778) @t564))))) % 55.33/55.56 (assume @p967 (forall (@list @t1092 @t1090) (and (=> @t1612 (= @t1611 @t1613)) (=> (not @t1612) (= @t1611 (tptp.hAPP @t1376 @t1376 (tptp.hAPP tptp.int @t1587 @t1586 @t1090) (tptp.hAPP tptp.int @t1376 (tptp.hAPP tptp.int @t1583 @t1582 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1368 @t1090) @t1380)) @t1092))))))) % 55.33/55.56 (assume @p968 (forall @t1609 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1571 @t1090) @t793)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t191 (tptp.hAPP tptp.int tptp.int @t1614 @t1380))) (=> (forall @t903 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1571 @t900) @t793)) @t1606)) @t1604))))) % 55.33/55.56 (assume @p969 (forall @t439 (= (tptp.hBOOL (tptp.hAPP @t148 tptp.bool @t924 @t223)) (tptp.hBOOL (tptp.hAPP @t1376 tptp.bool @t1610 @t1616))))) % 55.33/55.56 (assume @p970 (forall @t1619 (= (tptp.hBOOL (tptp.hAPP @t148 tptp.bool (tptp.hAPP @t148 @t929 (tptp.ord_less_eq @t148) @t223) @t236)) (tptp.hBOOL (tptp.hAPP @t1376 tptp.bool (tptp.hAPP @t1376 @t1618 (tptp.ord_less_eq @t1376) @t1616) @t1617))))) % 55.33/55.56 (assume @p971 (forall @t509 (= (tptp.hBOOL (tptp.hAPP @t148 tptp.bool (tptp.hAPP tptp.nat @t929 @t928 @t284) @t223)) (tptp.hBOOL (tptp.hAPP @t1376 tptp.bool (tptp.hAPP tptp.int @t1618 (tptp.member tptp.int) @t1620) @t1616))))) % 55.33/55.56 (assume @p972 (forall @t1619 (= (= @t223 @t236) (= @t1616 @t1617)))) % 55.33/55.56 (assume @p973 (forall (@list @t284 @t296 @t191) (and (=> @t406 (= @t1620 @t1621)) (=> @t407 (= @t1622 @t1621))))) % 55.33/55.56 (assume @p974 (forall @t845 (= (= @t1620 @t1622) (= @t284 @t296)))) % 55.33/55.56 (assume @p975 (forall @t1619 (= (tptp.hBOOL (tptp.hAPP @t148 tptp.bool (tptp.hAPP @t148 @t929 (tptp.ord_less @t148) @t223) @t236)) (tptp.hBOOL (tptp.hAPP @t1376 tptp.bool (tptp.hAPP @t1376 @t1618 (tptp.ord_less @t1376) @t1616) @t1617))))) % 55.33/55.56 (assume @p976 (forall @t439 (= (tptp.hAPP @t148 tptp.nat @t1288 @t223) (tptp.hAPP @t1376 tptp.nat (tptp.finite_card tptp.int) @t1616)))) % 55.33/55.56 (assume @p977 (= @t1613 (tptp.hAPP @t148 @t1376 @t1615 (tptp.bot_bot @t148)))) % 55.33/55.56 (assume @p978 (forall @t845 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1571 @t1620) @t1622)) @t1602))) % 55.33/55.56 (assume @p979 (forall @t845 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1375 @t1620) @t1622)) @t1562))) % 55.33/55.56 (assume @p980 (forall @t809 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1368 @t1624) @t1623) (tptp.hAPP tptp.nat tptp.int @t1366 (tptp.hAPP tptp.nat tptp.nat @t1129 @t778))))) % 55.33/55.56 (assume @p981 (forall @t809 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1378 @t1624) @t1623) (tptp.hAPP tptp.nat tptp.int @t1366 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1015 @t564) @t778))))) % 55.33/55.56 (assume @p982 (= @t1380 @t1381)) % 55.33/55.56 (assume @p983 (forall (@list @t564 @t1032) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int @t1383 @t1404 @t1624) @t1032) (tptp.hAPP tptp.nat tptp.int @t1366 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1406 @t564) @t1032))))) % 55.33/55.56 (assume @p984 (forall @t1627 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1626 @t1090)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t191 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1368 @t793) @t1380))) (=> (forall @t903 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1626 @t900)) @t1625)) @t1604))))) % 55.33/55.56 (assume @p985 (forall @t1627 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1628 @t1090)) (=> @t1608 (=> @t1629 @t1604))))) % 55.33/55.56 (assume @p986 (forall (@list @t1003 @t793 @t350) (=> (forall @t1630 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t927) @t996)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 (tptp.hAPP tptp.nat tptp.nat @t350 @t927)) @t997)))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1041 (tptp.hAPP tptp.nat tptp.nat @t350 @t1003)) @t793)) (tptp.hAPP tptp.nat tptp.nat @t350 @t1128)))))) % 55.33/55.56 (assume @p987 (forall (@list @t907 @t408) (=> (forall @t272 (=> @t930 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1541 @t907)))) @t932))) % 55.33/55.56 (assume @p988 (forall @t521 (=> @t1574 (exists (@list @t1631) (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t1 @t55 @t167 @t1631) @t594)))))) % 55.33/55.56 (assume @p989 (forall @t1447 (not (forall @t1630 (not (= @t777 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1386 (tptp.hAPP tptp.nat tptp.int @t1366 @t927)) @t1399))))))) % 55.33/55.56 (assume @p990 (forall (@list @t1090 @t1092 @t350) (=> (forall (@list @t900 @t1632) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 @t900) @t1632)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 (tptp.hAPP tptp.nat tptp.nat @t350 @t900)) (tptp.hAPP tptp.nat tptp.nat @t350 @t1632))))) (=> @t1106 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 (tptp.hAPP tptp.nat tptp.nat @t350 @t1090)) (tptp.hAPP tptp.nat tptp.nat @t350 @t1092))))))) % 55.33/55.56 (assume @p991 (forall @t22 (=> @t84 (= @t142 (tptp.hAPP @t19 @t140 (tptp.hAPP @t1 @t141 @t138 @t75) @t82))))) % 55.33/55.56 (assume @p992 (forall @t40 (=> @t1635 (forall (@list @t777 @t778) (=> (forall @t272 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1634 @t778)) (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1633 @t777)))) @t823))))) % 55.33/55.56 (assume @p993 (forall @t40 (=> @t810 (forall @t1639 (exists @t1638 (forall @t272 (=> @t1637 (not @t1636)))))))) % 55.33/55.56 (assume @p994 (forall @t40 (=> @t810 (forall @t1639 (exists @t1638 (forall @t272 (=> @t1640 @t1636))))))) % 55.33/55.56 (assume @p995 (forall @t40 (=> @t1635 (forall @t824 (=> @t1501 (=> (forall (@list @t1641) (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1458 @t1641)) (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t1457 @t1641) @t778)) (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t800 @t1641) @t777))))) @t823)))))) % 55.33/55.56 (assume @p996 (forall @t9 (=> @t1647 (forall @t1284 (=> @t1523 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t1280 @t1645)) (=> (forall @t429 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t330) @t270)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t4 @t1569 @t1644) @t400)))) @t1643))))))) % 55.33/55.56 (assume @p997 (forall @t40 (=> @t810 (forall @t1639 (exists @t1638 (forall @t272 (=> @t1637 @t1648))))))) % 55.33/55.56 (assume @p998 (forall @t40 (=> @t810 (forall @t1639 (exists @t1638 (forall @t272 (=> @t1640 (not @t1648)))))))) % 55.33/55.56 (assume @p999 (forall @t9 (=> @t1647 (forall @t1284 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t990 @t224)) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t1642 @t1645)) (=> (forall @t429 (=> @t1286 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t4 @t130 @t1644) @t400)))) @t1643))))))) % 55.33/55.56 (assume @p1000 (forall @t15 (=> @t1651 (forall @t1650 (=> @t1486 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t4 @t130 @t1645) @t189)) (=> (forall @t429 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1552 @t330)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t1570 @t1644)))) @t1649))))))) % 55.33/55.56 (assume @p1001 (forall @t9 (=> @t1285 (forall @t1284 (=> @t1283 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t1642 @t227)) (=> (forall @t429 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t4 @t1569 @t330) @t270)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t1278) @t387)))) @t1652))))))) % 55.33/55.56 (assume @p1002 (forall @t9 (=> @t1647 (forall @t1284 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t1282) @t224)) (=> @t1281 (=> @t1279 @t1652))))))) % 55.33/55.56 (assume @p1003 (forall @t15 (=> @t1651 (forall @t1650 (=> @t868 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t4 @t1569 @t1645) @t189)) (=> (forall @t429 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t986 @t330)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t846 @t1644)))) @t1649))))))) % 55.33/55.56 (assume @p1004 (forall @t15 (=> @t1651 (forall @t1287 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1485 @t1282)) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t4 @t130 @t227) @t189)) (=> (forall @t429 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t4 @t130 @t270) @t330)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t837 @t387) @t1278)))) @t1653))))))) % 55.33/55.56 (assume @p1005 (forall @t15 (=> @t1651 (forall @t1287 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t867 @t1282)) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t4 @t1569 @t227) @t189)) (=> (forall @t429 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t4 @t1569 @t270) @t330)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t387) @t1278)))) @t1653))))))) % 55.33/55.56 (assume @p1006 (forall (@list @t1090 @t191 @t793) (=> @t1608 (=> @t1629 @t1607)))) % 55.33/55.56 (assume @p1007 (forall @t22 (=> @t21 (forall @t1656 (=> @t423 (=> @t470 (=> (forall @t1655 (=> @t462 (=> (forall @t272 (=> @t487 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1552 @t1631)))) @t1654))) @t543))))))) % 55.33/55.56 (assume @p1008 (forall @t22 (=> @t21 (forall @t1656 (=> @t423 (=> @t470 (=> (forall @t1655 (=> @t462 (=> (forall @t272 (=> @t487 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t1631) @t270)))) @t1654))) @t543))))))) % 55.33/55.56 (assume @p1009 (forall @t22 (=> @t94 (forall (@list @t350 @t1003 @t907) (and (=> @t1005 (= @t1657 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t73 (tptp.hAPP tptp.nat @t1 @t350 @t1003)) (tptp.hAPP tptp.nat @t1 @t350 @t1556)))) (=> (not @t1005) (= @t1657 @t93))))))) % 55.33/55.56 (assume @p1010 (forall @t22 (=> @t8 (forall @t1531 (=> @t1005 (= (tptp.hAPP @t148 @t1 @t1658 @t1548) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t18 @t701 (tptp.hAPP tptp.nat @t1 @t191 @t1003)) (tptp.hAPP @t148 @t1 @t1658 (tptp.hAPP tptp.nat @t148 (tptp.hAPP tptp.nat @t149 @t147 @t1003) @t907))))))))) % 55.33/55.56 (assume @p1011 (forall @t1034 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1534 @t1659))))) % 55.33/55.56 (assume @p1012 (forall @t1034 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t913 @t1659) @t1032)))) % 55.33/55.56 (assume @p1013 (forall @t1397 (tptp.hBOOL (tptp.hAPP @t148 tptp.bool @t924 (tptp.hAPP tptp.nat @t148 (tptp.hAPP tptp.nat @t149 @t147 @t1396) @t995))))) % 55.33/55.56 (assume @p1014 (forall @t40 (=> @t1545 (forall @t1663 (=> @t1662 (=> @t1661 @t1477)))))) % 55.33/55.56 (assume @p1015 (forall @t40 (=> @t1515 (forall @t821 (=> @t1666 (=> @t1665 (=> @t1664 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t800 @t779) @t564))))))))) % 55.33/55.56 (assume @p1016 (forall @t40 (=> @t1515 (forall @t821 (=> @t1666 (=> @t1665 (=> @t1664 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t800 (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 @t85 @t778) @t564)) @t564))))))))) % 55.33/55.56 (assume @p1017 (forall @t40 (=> @t1545 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1667 @t1318))))) % 55.33/55.56 (assume @p1018 (forall (@list @t1 @t1668 @t1669 @t224) (= (tptp.hAPP tptp.nat @t1 (tptp.hAPP @t1 @t139 (tptp.hAPP @t19 @t140 (tptp.hAPP @t1 @t141 @t138 @t1668) @t1669) @t224) @t1659) (tptp.ti @t1 @t1668)))) % 55.33/55.56 (assume @p1019 (forall @t40 (=> @t92 (forall @t1506 (=> @t1671 (=> @t1661 @t1670)))))) % 55.33/55.56 (assume @p1020 (forall @t40 (=> @t92 (forall @t1506 (=> @t1674 @t1673))))) % 55.33/55.56 (assume @p1021 (forall @t40 (=> @t92 (forall @t1676 (=> @t1671 (=> @t835 @t1675)))))) % 55.33/55.56 (assume @p1022 (forall @t40 (=> @t92 (forall @t1676 (=> @t1674 @t1677))))) % 55.33/55.56 (assume @p1023 (forall @t40 (=> @t92 (forall @t1506 (=> @t1679 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t827 @t91)) @t1678)))))) % 55.33/55.56 (assume @p1024 (forall @t40 (=> @t92 (forall @t1506 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t830 @t91)) @t1681))))) % 55.33/55.56 (assume @p1025 (forall (@list @t1032 @t564) (=> @t1684 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1683 (tptp.hAPP tptp.nat tptp.int @t1430 @t1032)))))) % 55.33/55.56 (assume @p1026 (forall @t1688 (= (forall @t272 (=> @t1687 @t1686)) (forall @t272 @t1685)))) % 55.33/55.56 (assume @p1027 (forall @t1688 (= (exists @t272 (and @t1687 @t1686)) (exists @t272 @t1685)))) % 55.33/55.56 (assume @p1028 (forall @t1447 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1683 (tptp.hAPP tptp.nat tptp.int @t1366 @t777))))) % 55.33/55.56 (assume @p1029 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1683 @t1682))) % 55.33/55.56 (assume @p1030 (forall @t821 (=> @t1684 (=> @t1689 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1683 (tptp.hAPP tptp.int tptp.int @t1442 @t778))))))) % 55.33/55.56 (assume @p1031 (forall @t821 (=> @t1684 (=> @t1689 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1683 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t1369 @t1378 @t564) @t778))))))) % 55.33/55.56 (assume @p1032 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1683 @t1380))) % 55.33/55.56 (assume @p1033 (forall (@list @t1017) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1571 (tptp.hAPP tptp.nat tptp.int @t1366 @t1017)) @t1682))))) % 55.33/55.56 (assume @p1034 (forall @t1388 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1692 @t1373)) @t1691))) % 55.33/55.56 (assume @p1035 (forall (@list @t793 @t1396) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1626 @t1396)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1571 (tptp.hAPP tptp.int tptp.int @t1614 @t1396)) @t1682))))) % 55.33/55.56 (assume @p1036 (forall @t1027 (=> @t1572 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1692 @t1017)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t1376 @t1571 (tptp.hAPP tptp.int tptp.int @t1693 @t1018)) (tptp.hAPP tptp.int tptp.int @t1693 @t1014))))))) % 55.33/55.56 (assume @p1037 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1692 @t1380))) % 55.33/55.56 (assume @p1038 (forall (@list @t284 @t907) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1690 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t651 @t1406 @t284) @t907))) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1690 @t284)) @t1694)))) % 55.33/55.56 (assume @p1039 (forall @t40 (=> @t1545 (forall @t1596 (=> @t1671 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1667 @t1558))))))) % 55.33/55.56 (assume @p1040 (forall (@list @t726 @t1032 @t1018) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1690 @t1018)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t148 @t1394 (tptp.hAPP tptp.nat tptp.nat @t1695 @t726)) (tptp.hAPP tptp.nat tptp.nat @t1695 @t1032))) @t1466)))) % 55.33/55.56 (assume @p1041 (forall @t40 (=> @t1545 (forall @t1663 (=> (= @t1558 @t1589) (=> @t1674 (=> @t1661 (=> @t1696 @t834)))))))) % 55.33/55.56 (assume @p1042 (forall @t40 (=> @t1545 (forall (@list @t1032 @t558 @t568) (=> @t1477 (=> @t1674 (=> @t1696 @t1662))))))) % 55.33/55.56 (assume @p1043 (forall @t1034 (=> @t1697 @t1696))) % 55.33/55.56 (assume @p1044 (forall @t1037 (=> @t1466 @t1697))) % 55.33/55.56 (assume @p1045 (forall @t1388 (= (not @t1694) @t1691))) % 55.33/55.56 (assume @p1046 (forall @t22 (=> @t1359 (forall @t1388 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1698 @t1345)) @t1691))))) % 55.33/55.56 (assume @p1047 (forall @t22 (=> @t1148 (forall @t877 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1698 @t1699)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1698 @t224))))))) % 55.33/55.56 (assume @p1048 (forall @t22 (=> @t1148 @t1700))) % 55.33/55.56 (assume @p1049 (forall @t40 (=> @t92 (forall @t1506 (=> @t1671 @t1673))))) % 55.33/55.56 (assume @p1050 (forall @t40 (=> @t1545 (forall @t1676 (=> @t1671 @t1677))))) % 55.33/55.56 (assume @p1051 (forall @t40 (=> @t92 (forall @t1506 (=> @t1679 @t1681))))) % 55.33/55.56 (assume @p1052 (forall @t22 (=> (tptp.linordered_idom @t1) @t1700))) % 55.33/55.56 (assume @p1053 (forall @t40 (=> (tptp.linordered_ring @t29) (forall @t562 (not (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t1457 @t561) @t91))))))) % 55.33/55.56 (assume @p1054 (forall @t22 (=> @t1704 (forall @t873 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t11 @t129 @t783) @t782)) @t1703))))) % 55.33/55.56 (assume @p1055 (forall @t22 (=> @t1704 (forall @t870 (= @t1706 @t1703))))) % 55.33/55.56 (assume @p1056 (forall @t22 (=> @t1704 (forall @t750 (=> @t1702 (= @t1706 @t1486)))))) % 55.33/55.56 (assume @p1057 (forall @t40 (=> @t1708 (forall @t1506 (=> @t1671 (=> @t1672 @t1707)))))) % 55.33/55.56 (assume @p1058 (forall @t40 (=> @t1708 (forall @t1506 (=> @t1671 (=> @t1680 @t1709)))))) % 55.33/55.56 (assume @p1059 (forall @t40 (=> @t1708 (forall @t1506 (=> @t1671 (=> @t1680 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t29 @t157 @t1457 @t773) @t91)))))))) % 55.33/55.56 (assume @p1060 (forall @t40 (=> @t1708 (forall @t570 (=> @t1707 @t1710))))) % 55.33/55.56 (assume @p1061 (forall @t40 (=> @t1708 (forall @t1506 (=> (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1667 @t773)) @t1710))))) % 55.33/55.56 (assume @p1062 (forall @t22 (=> @t1704 (forall @t750 (=> @t1701 (= @t1706 @t1523)))))) % 55.33/55.56 (assume @p1063 (forall @t40 (=> @t1708 (forall @t1506 (=> @t1679 (=> @t1672 @t1709)))))) % 55.33/55.56 (assume @p1064 (forall @t40 (=> @t1711 (forall @t1506 (=> @t1679 (=> @t1680 @t1707)))))) % 55.33/55.56 (assume @p1065 (forall @t40 (=> @t1708 (forall @t833 (=> @t1477 (=> @t1713 @t1712)))))) % 55.33/55.56 (assume @p1066 (forall @t40 (=> @t1708 @t1716))) % 55.33/55.56 (assume @p1067 (forall @t40 (=> (tptp.linord893533164strict @t29) @t1716))) % 55.33/55.56 (assume @p1068 (forall @t40 (=> @t1711 (forall @t829 (=> @t1504 (=> @t1717 @t1712)))))) % 55.33/55.56 (assume @p1069 (forall @t40 (=> @t1711 (forall @t829 (=> @t1504 (=> @t1717 @t1715)))))) % 55.33/55.56 (assume @p1070 (forall @t1721 (=> (tptp.boolean_algebra @t1718) (tptp.boolean_algebra @t1720)))) % 55.33/55.56 (assume @p1071 (forall @t1721 (=> (tptp.preorder @t1718) (tptp.preorder @t1720)))) % 55.33/55.56 (assume @p1072 (forall @t1721 (=> (and (tptp.finite_finite @t1718) (tptp.finite_finite @t1719)) (tptp.finite_finite @t1720)))) % 55.33/55.56 (assume @p1073 (forall @t1721 (=> (tptp.order @t1718) (tptp.order @t1720)))) % 55.33/55.56 (assume @p1074 (forall @t1721 (=> (tptp.ord @t1718) (tptp.ord @t1720)))) % 55.33/55.56 (assume @p1075 (forall @t1721 (=> (tptp.bot @t1718) (tptp.bot @t1720)))) % 55.33/55.56 (assume @p1076 (forall @t1721 (=> (tptp.uminus @t1718) (tptp.uminus @t1720)))) % 55.33/55.56 (assume @p1077 (forall @t1721 (=> (tptp.minus @t1718) (tptp.minus @t1720)))) % 55.33/55.56 (assume @p1078 (tptp.semiri456707255roduct tptp.int)) % 55.33/55.56 (assume @p1079 (tptp.ordere223160158up_add tptp.int)) % 55.33/55.56 (assume @p1080 (tptp.ordere236663937imp_le tptp.int)) % 55.33/55.56 (assume @p1081 (tptp.linord893533164strict tptp.int)) % 55.33/55.56 (assume @p1082 (tptp.linord2061991079up_add tptp.int)) % 55.33/55.56 (assume @p1083 (tptp.linord20386208strict tptp.int)) % 55.33/55.56 (assume @p1084 (tptp.ordere779506340up_add tptp.int)) % 55.33/55.56 (assume @p1085 (tptp.ordere216010020id_add tptp.int)) % 55.33/55.56 (assume @p1086 (tptp.linord219039673up_add tptp.int)) % 55.33/55.56 (assume @p1087 (tptp.cancel146912293up_add tptp.int)) % 55.33/55.56 (assume @p1088 (tptp.ring_11004092258visors tptp.int)) % 55.33/55.56 (assume @p1089 (tptp.linord581940658strict tptp.int)) % 55.33/55.56 (assume @p1090 (tptp.ordered_ab_group_add tptp.int)) % 55.33/55.56 (assume @p1091 (tptp.cancel_semigroup_add tptp.int)) % 55.33/55.56 (assume @p1092 (tptp.linordered_semidom tptp.int)) % 55.33/55.56 (assume @p1093 (tptp.ab_semigroup_mult tptp.int)) % 55.33/55.56 (assume @p1094 (tptp.comm_monoid_mult tptp.int)) % 55.33/55.56 (assume @p1095 (tptp.ab_semigroup_add tptp.int)) % 55.33/55.56 (assume @p1096 (tptp.comm_monoid_add tptp.int)) % 55.33/55.56 (assume @p1097 (tptp.linordered_ring tptp.int)) % 55.33/55.56 (assume @p1098 (tptp.linordered_idom tptp.int)) % 55.33/55.56 (assume @p1099 (tptp.comm_semiring_1 tptp.int)) % 55.33/55.56 (assume @p1100 (tptp.comm_semiring tptp.int)) % 55.33/55.56 (assume @p1101 (tptp.semiring_char_0 tptp.int)) % 55.33/55.56 (assume @p1102 (tptp.ab_group_add tptp.int)) % 55.33/55.56 (assume @p1103 (tptp.ordered_ring tptp.int)) % 55.33/55.56 (assume @p1104 (tptp.preorder tptp.int)) % 55.33/55.56 (assume @p1105 (tptp.linorder tptp.int)) % 55.33/55.56 (assume @p1106 (tptp.monoid_mult tptp.int)) % 55.33/55.56 (assume @p1107 (tptp.comm_ring_1 tptp.int)) % 55.33/55.56 (assume @p1108 (tptp.semiring_1 tptp.int)) % 55.33/55.56 (assume @p1109 (tptp.semiring_0 tptp.int)) % 55.33/55.56 (assume @p1110 (tptp.group_add tptp.int)) % 55.33/55.56 (assume @p1111 (tptp.order tptp.int)) % 55.33/55.56 (assume @p1112 (tptp.semiring tptp.int)) % 55.33/55.56 (assume @p1113 (tptp.ord tptp.int)) % 55.33/55.56 (assume @p1114 (tptp.uminus tptp.int)) % 55.33/55.56 (assume @p1115 (tptp.ring_1 tptp.int)) % 55.33/55.56 (assume @p1116 (tptp.minus tptp.int)) % 55.33/55.56 (assume @p1117 (tptp.power tptp.int)) % 55.33/55.56 (assume @p1118 (tptp.ring tptp.int)) % 55.33/55.56 (assume @p1119 (tptp.idom tptp.int)) % 55.33/55.56 (assume @p1120 (tptp.one tptp.int)) % 55.33/55.56 (assume @p1121 (tptp.semiri456707255roduct tptp.nat)) % 55.33/55.56 (assume @p1122 (tptp.ordere223160158up_add tptp.nat)) % 55.33/55.56 (assume @p1123 (tptp.ordere236663937imp_le tptp.nat)) % 55.33/55.56 (assume @p1124 (tptp.linord893533164strict tptp.nat)) % 55.33/55.56 (assume @p1125 (tptp.linord2061991079up_add tptp.nat)) % 55.33/55.56 (assume @p1126 (tptp.linord20386208strict tptp.nat)) % 55.33/55.56 (assume @p1127 (tptp.ordere779506340up_add tptp.nat)) % 55.33/55.56 (assume @p1128 (tptp.ordere216010020id_add tptp.nat)) % 55.33/55.56 (assume @p1129 (tptp.cancel146912293up_add tptp.nat)) % 55.33/55.56 (assume @p1130 (tptp.cancel_semigroup_add tptp.nat)) % 55.33/55.56 (assume @p1131 (tptp.linordered_semidom tptp.nat)) % 55.33/55.56 (assume @p1132 (tptp.ab_semigroup_mult tptp.nat)) % 55.33/55.56 (assume @p1133 (tptp.comm_monoid_mult tptp.nat)) % 55.33/55.56 (assume @p1134 (tptp.ab_semigroup_add tptp.nat)) % 55.33/55.56 (assume @p1135 (tptp.comm_monoid_add tptp.nat)) % 55.33/55.56 (assume @p1136 (tptp.comm_semiring_1 tptp.nat)) % 55.33/55.56 (assume @p1137 (tptp.comm_semiring tptp.nat)) % 55.33/55.56 (assume @p1138 (tptp.semiring_char_0 tptp.nat)) % 55.33/55.56 (assume @p1139 (tptp.preorder tptp.nat)) % 55.33/55.56 (assume @p1140 (tptp.linorder tptp.nat)) % 55.33/55.56 (assume @p1141 (tptp.monoid_mult tptp.nat)) % 55.33/55.56 (assume @p1142 (tptp.semiring_1 tptp.nat)) % 55.33/55.56 (assume @p1143 (tptp.semiring_0 tptp.nat)) % 55.33/55.56 (assume @p1144 (tptp.order tptp.nat)) % 55.33/55.56 (assume @p1145 (tptp.semiring tptp.nat)) % 55.33/55.56 (assume @p1146 (tptp.ord tptp.nat)) % 55.33/55.56 (assume @p1147 (tptp.bot tptp.nat)) % 55.33/55.56 (assume @p1148 (tptp.minus tptp.nat)) % 55.33/55.56 (assume @p1149 (tptp.power tptp.nat)) % 55.33/55.56 (assume @p1150 (tptp.one tptp.nat)) % 55.33/55.56 (assume @p1151 (tptp.boolean_algebra tptp.bool)) % 55.33/55.56 (assume @p1152 (tptp.preorder tptp.bool)) % 55.33/55.56 (assume @p1153 (tptp.finite_finite tptp.bool)) % 55.33/55.56 (assume @p1154 (tptp.order tptp.bool)) % 55.33/55.56 (assume @p1155 (tptp.ord tptp.bool)) % 55.33/55.56 (assume @p1156 (tptp.bot tptp.bool)) % 55.33/55.56 (assume @p1157 (tptp.uminus tptp.bool)) % 55.33/55.56 (assume @p1158 (tptp.minus tptp.bool)) % 55.33/55.56 (assume @p1159 (forall (@list @t1723 @t1722) (= (tptp.ti @t1723 @t1724) @t1724))) % 55.33/55.56 (assume @p1160 (forall @t1725 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 (tptp.hAPP tptp.bool @t78 @t115 tptp.fTrue) @t564) @t778) @t565))) % 55.33/55.56 (assume @p1161 (forall @t1725 (= (tptp.hAPP @t29 @t29 (tptp.hAPP @t29 @t39 (tptp.hAPP tptp.bool @t78 @t115 tptp.fFalse) @t564) @t778) @t819))) % 55.33/55.56 (assume @p1162 (forall @t1728 (or (= @t1727 tptp.fTrue) (= @t1727 tptp.fFalse)))) % 55.33/55.56 (assume @p1163 (forall (@list @t29 @t1726 @t564) (or (not (tptp.hBOOL (tptp.hAPP @t29 tptp.bool @t1726 @t564))) (tptp.hBOOL (tptp.hAPP @t157 tptp.bool @t156 @t1726))))) % 55.33/55.56 (assume @p1164 (forall @t1728 (or (not @t1731) @t1730))) % 55.33/55.56 (assume @p1165 (forall @t1728 (or @t1729 @t1731))) % 55.33/55.56 (assume @p1166 (forall @t1735 (= (tptp.hAPP @t29 @t2 (tptp.hAPP @t32 @t31 (tptp.hAPP @t13 @t33 @t30 @t1726) @t1733) @t1732) (tptp.hAPP @t1 @t2 @t1726 @t1734)))) % 55.33/55.56 (assume @p1167 (forall @t1735 (= (tptp.hAPP @t29 @t2 (tptp.hAPP @t1 @t31 (tptp.hAPP @t36 @t35 @t34 @t1726) @t1733) @t1732) (tptp.hAPP @t1 @t2 @t1736 @t1733)))) % 55.33/55.56 (assume @p1168 (forall (@list @t29 @t1726) (= (tptp.hAPP @t29 @t29 @t38 @t1726) @t1737))) % 55.33/55.56 (assume @p1169 @t1739) % 55.33/55.56 (assume @p1170 (forall @t1735 (= (tptp.hAPP @t29 @t2 (tptp.hAPP @t32 @t31 (tptp.hAPP @t36 @t33 @t43 @t1726) @t1733) @t1732) (tptp.hAPP @t1 @t2 @t1736 @t1734)))) % 55.33/55.56 (assume @p1171 (forall @t1743 (or @t1730 @t1742 @t1740))) % 55.33/55.56 (assume @p1172 (forall @t1745 (or @t1744 @t1729))) % 55.33/55.56 (assume @p1173 (forall @t1745 (or @t1744 @t1741))) % 55.33/55.56 (assume @p1174 (forall @t1743 (or @t1730 @t1746))) % 55.33/55.56 (assume @p1175 (forall @t1745 (or @t1742 @t1746))) % 55.33/55.56 (assume @p1176 (forall @t1745 (or (not @t1746) @t1729 @t1741))) % 55.33/55.56 (assume @p1177 (not (tptp.hBOOL tptp.fFalse))) % 55.33/55.56 (assume @p1178 (forall @t1725 (or (not @t1747) @t820))) % 55.33/55.56 (assume @p1179 (forall @t1725 (or @t1513 @t1747))) % 55.33/55.56 (assume @p1180 (forall @t1743 (or @t1729 @t1748))) % 55.33/55.56 (assume @p1181 (forall @t1745 (or @t1742 @t1748))) % 55.33/55.56 (assume @p1182 (forall @t1745 (or (not @t1748) @t1730 @t1741))) % 55.33/55.56 (assume @p1183 (not @t1764)) % 55.33/55.56 (assume @p1184 true) % 55.33/55.56 (step @p1185 :rule evaluate :args ((= true false))) % 55.33/55.56 (step @p1186 :rule false_intro :premises (@p1177)) % 55.33/55.56 (step @p1187 :rule eq-symm :args (@t1738 @t1737)) % 55.33/55.56 (step @p1188 :rule cong :premises (@p1187) :args (@t1739)) % 55.33/55.56 (step @p1189 :rule eq_resolve :premises (@p1169 @p1188)) % 55.33/55.56 (step @p1190 :rule instantiate :premises (@p1189) :args ((@list tptp.state tptp.bool tptp.fFalse @t1766))) % 55.33/55.56 (step @p1191 :rule symm :premises (@p1190)) % 55.33/55.56 (step @p1192 :rule refl :args (@t1766)) % 55.33/55.56 (step @p1193 :rule eq-symm :args (@t165 @t163)) % 55.33/55.56 (step @p1194 :rule cong :premises (@p1193) :args (@t166)) % 55.33/55.56 (step @p1195 :rule eq_resolve :premises (@p76 @p1194)) % 55.33/55.56 (step @p1196 :rule instantiate :premises (@p1195) :args ((@list @t102 tptp.bool @t1754 tptp.fFalse))) % 55.33/55.56 (step @p1197 :rule symm :premises (@p1196)) % 55.33/55.56 (step @p1198 :rule instantiate :premises (@p1189) :args ((@list tptp.x_a @t102 @t1755 @t1767))) % 55.33/55.56 (step @p1199 :rule symm :premises (@p1198)) % 55.33/55.56 (step @p1200 :rule trans :premises (@p1199 @p1197)) % 55.33/55.56 (step @p1201 :rule instantiate :premises (@p160) :args ((@list tptp.state @t1755))) % 55.33/55.56 (step @p1202 :rule instantiate :premises (@p106) :args ((@list tptp.state))) % 55.33/55.56 (step @p1203 :rule trans :premises (@p1202 @p1201 @p1198)) % 55.33/55.56 (step @p1204 :rule trans :premises (@p1203 @p1200)) % 55.33/55.56 (step @p1205 :rule refl :args (tptp.bool)) % 55.33/55.56 (step @p1206 :rule refl :args (tptp.state)) % 55.33/55.56 (step @p1207 :rule cong :premises (@p1206 @p1205 @p1204 @p1192) :args ((tptp.hAPP tptp.state tptp.bool (tptp.bot_bot @t102) @t1766))) % 55.33/55.56 (step @p1208 :rule symm :premises (@p1203)) % 55.33/55.56 (step @p1209 :rule cong :premises (@p1206 @p1205 @p1208 @p1192) :args (@t1768)) % 55.33/55.56 (step @p1210 :rule trans :premises (@p1209 @p1207 @p1191 @p67)) % 55.33/55.56 (step @p1211 :rule cong :premises (@p1210) :args (@t1769)) % 55.33/55.56 (step @p1212 :rule bool-impl-elim :args (@t1770 @t200)) % 55.33/55.56 (step @p1213 :rule cong :premises (@p1212) :args ((forall @t213 (=> @t1770 @t200)))) % 55.33/55.56 (step @p1214 :rule refl :args (@t200)) % 55.33/55.56 (step @p1215 :rule bool-impl-elim :args (@t209 @t208)) % 55.33/55.56 (step @p1216 :rule cong :premises (@p1215) :args (@t211)) % 55.33/55.56 (step @p1217 :rule cong :premises (@p1216 @p1214) :args (@t212)) % 55.33/55.56 (step @p1218 :rule cong :premises (@p1217) :args (@t214)) % 55.33/55.56 (step @p1219 :rule trans :premises (@p1218 @p1213)) % 55.33/55.56 (step @p1220 :rule eq_resolve :premises (@p88 @p1219)) % 55.33/55.56 (step @p1221 :rule instantiate :premises (@p1220) :args ((@list tptp.x_a tptp.g tptp.c @t1753 @t1757))) % 55.33/55.56 (step @p1222 :rule cnf_or_pos :args (@t1772)) % 55.33/55.56 (step @p1223 :rule reordering :premises (@p1222) :args ((or @t1764 @t1771 (not @t1772)))) % 55.33/55.56 (step @p1224 :rule chain_m_resolution :premises (@p1223 @p1183 @p1221) :args (@t1771 (@list true false) (@list @t1764 @t1772))) % 55.33/55.56 (step @p1225 :rule skolemize :premises (@p1224)) % 55.33/55.56 (step @p1226 :rule bool-double-not-elim :args (@t1769)) % 55.33/55.56 (step @p1227 :rule refl :args (@t1774)) % 55.33/55.56 (step @p1228 :rule nary_cong :premises (@p1227 @p1226) :args ((or @t1774 (not @t1773)))) % 55.33/55.56 (step @p1229 :rule cnf_or_neg :args (@t1774 0)) % 55.33/55.56 (step @p1230 :rule eq_resolve :premises (@p1229 @p1228)) % 55.33/55.56 (step @p1231 :rule reordering :premises (@p1230) :args ((or @t1769 @t1774))) % 55.33/55.56 (step @p1232 :rule chain_m_resolution :premises (@p1231 @p1225) :args (@t1769 (@list true) (@list @t1774))) % 55.33/55.56 (step @p1233 :rule true_intro :premises (@p1232)) % 55.33/55.56 (step @p1234 :rule symm :premises (@p1233)) % 55.33/55.56 (step @p1235 :rule trans :premises (@p1234 @p1211 @p1186)) % 55.33/55.56 (step @p1236 false :rule eq_resolve :premises (@p1235 @p1185)) % 55.33/55.56 ) % 55.33/55.56 % SZS output end Proof % 55.33/55.56 % cvc5 exiting %------------------------------------------------------------------------------