%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT170+7 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:46:26 AM UTC 2026 % Result : Theorem 14.71s 15.02s % Output : Proof 0.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT170+7 : TPTP v9.2.1. Released v5.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n018.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 14:37:20 EDT 2026 % 0.15/0.34 % CPUTime : % 0.54/1.00 %----Proving TF0_NAR, FOF, or CNF % 14.71/15.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 14.71/15.02 % SZS status Theorem % 14.71/15.02 % SZS output start Proof % 14.71/15.02 ( % 14.71/15.02 (declare-sort $$unsorted 0) % 14.71/15.02 (declare-const tptp.enum (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.zero_neq_one (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.linordered_field (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.semiri456707255roduct (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.comm_semiring_1 (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.ab_group_add (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.ordered_ab_group_add (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.list_all2 (-> $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.cancel146912293up_add (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.list_case (-> $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.cancel_semigroup_add (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.ordere223160158up_add (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.cons (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.set_Cons (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.linorder (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.linorder_sorted (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.lexord (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.product_Pair (-> $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.ordere216010020id_add (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.distinct (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.linordered_semidom (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.list (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.list_update (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.combb (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.lex (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.append (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.suc $$unsorted) % 14.71/15.02 (declare-const tptp.product_prod_rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.arrow_1665824030_below $$unsorted) % 14.71/15.02 (declare-const tptp.product_prod (-> $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.linordered_idom (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.monoid_add (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.ti (-> $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.list_size (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.arrow_708804735ctator $$unsorted) % 14.71/15.02 (declare-const tptp.drop (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.listrelp (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.arrow_301600364e_Prof $$unsorted) % 14.71/15.02 (declare-const tptp.lenlex (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.fconj $$unsorted) % 14.71/15.02 (declare-const tptp.equal_equal (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.arrow_1998540521e_indi $$unsorted) % 14.71/15.02 (declare-const tptp.in_rel (-> $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.one (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.insert (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.arrow_1622070166_mkbot $$unsorted) % 14.71/15.02 (declare-const tptp.undefined (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.arrow_2142409994le_alt $$unsorted) % 14.71/15.02 (declare-const tptp.zip (-> $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.a $$unsorted) % 14.71/15.02 (declare-const tptp.arrow_357225482_above $$unsorted) % 14.71/15.02 (declare-const tptp.list_rec (-> $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.c $$unsorted) % 14.71/15.02 (declare-const tptp.take (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.arrow_1066301521nimity $$unsorted) % 14.71/15.02 (declare-const tptp.combi (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.listset (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.mlex_prod (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.arrow_1541970350le_IIA $$unsorted) % 14.71/15.02 (declare-const tptp.dropWhile (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.min (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.group_add (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.lexn (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.combc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.size_size (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.arrow_1568854078le_Lin $$unsorted) % 14.71/15.02 (declare-const tptp.order (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.ab_semigroup_add (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.nil (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.b $$unsorted) % 14.71/15.02 (declare-const tptp.zero (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.p $$unsorted) % 14.71/15.02 (declare-const tptp.combs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.fFalse $$unsorted) % 14.71/15.02 (declare-const tptp.fun (-> $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.ord (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.minus_minus (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.reflp (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.plus_plus (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.listrel (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.lex_prod (-> $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.listrel1 (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.combk (-> $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.ord_less_eq (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.partition (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.fequal (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.if (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.dense_linorder (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.replicate (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.minus (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.rev (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.rotate1 (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.one_one (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.set (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.product_curry (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.splice (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.sublist (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.product_map_pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.bool $$unsorted) % 14.71/15.02 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.nat_case (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.transitive_rtrancl (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.butlast (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.nat_size $$unsorted) % 14.71/15.02 (declare-const tptp.nat $$unsorted) % 14.71/15.02 (declare-const tptp.order_215145569der_on (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.ord_less (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.linord219039673up_add (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.ord_min (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.top_top (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.top (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.produc1605651328_split (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.member (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.product_prod_case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.refl_on (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.arrow_1770777252_mktop $$unsorted) % 14.71/15.02 (declare-const tptp.collect (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.last (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.comm_monoid_add (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.measure (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.fEx (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.fNot $$unsorted) % 14.71/15.02 (declare-const tptp.nth (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.fTrue $$unsorted) % 14.71/15.02 (declare-const tptp.null (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.fdisj $$unsorted) % 14.71/15.02 (declare-const tptp.pi (-> $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.ordere236663937imp_le (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.f $$unsorted) % 14.71/15.02 (declare-const tptp.p_1 $$unsorted) % 14.71/15.02 (declare-const tptp.zero_zero (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.preorder (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.cl_HOL_Oequal (-> $$unsorted Bool)) % 14.71/15.02 (declare-const tptp.takeWhile (-> $$unsorted $$unsorted)) % 14.71/15.02 (declare-const tptp.ordere779506340up_add (-> $$unsorted Bool)) % 14.71/15.02 (define @t1 () (tptp.product_prod tptp.arrow_2142409994le_alt tptp.arrow_2142409994le_alt)) % 14.71/15.02 (define @t2 () (tptp.fun @t1 tptp.bool)) % 14.71/15.02 (define @t3 () (tptp.fun tptp.arrow_1998540521e_indi @t2)) % 14.71/15.02 (define @t4 () (tptp.fun @t3 @t2)) % 14.71/15.02 (define @t5 () (tptp.fun @t4 tptp.bool)) % 14.71/15.02 (define @t6 () (tptp.fun @t2 tptp.bool)) % 14.71/15.02 (define @t7 () (tptp.fun @t3 tptp.bool)) % 14.71/15.02 (define @t8 () (tptp.fun tptp.arrow_2142409994le_alt @t2)) % 14.71/15.02 (define @t9 () (tptp.fun tptp.arrow_2142409994le_alt @t8)) % 14.71/15.02 (define @t10 () (tptp.fun @t2 @t9)) % 14.71/15.02 (define @t11 () (tptp.fun tptp.arrow_1998540521e_indi tptp.bool)) % 14.71/15.02 (define @t12 () (tptp.fun @t2 @t8)) % 14.71/15.02 (define @t13 () (@var "X_a" $$unsorted)) % 14.71/15.02 (define @t14 () (@var "X_c" $$unsorted)) % 14.71/15.02 (define @t15 () (@var "X_b" $$unsorted)) % 14.71/15.02 (define @t16 () (tptp.combb @t15 @t14 @t13)) % 14.71/15.02 (define @t17 () (tptp.fun @t13 @t14)) % 14.71/15.02 (define @t18 () (tptp.fun @t13 @t15)) % 14.71/15.02 (define @t19 () (tptp.fun @t18 @t17)) % 14.71/15.02 (define @t20 () (tptp.fun @t15 @t14)) % 14.71/15.02 (define @t21 () (@list @t15 @t14 @t13)) % 14.71/15.02 (define @t22 () (tptp.combc @t13 @t15 @t14)) % 14.71/15.02 (define @t23 () (tptp.fun @t15 @t17)) % 14.71/15.02 (define @t24 () (tptp.fun @t13 @t20)) % 14.71/15.02 (define @t25 () (@list @t13 @t15 @t14)) % 14.71/15.02 (define @t26 () (tptp.combi @t13)) % 14.71/15.02 (define @t27 () (tptp.fun @t13 @t13)) % 14.71/15.02 (define @t28 () (@list @t13)) % 14.71/15.02 (define @t29 () (tptp.combk @t13 @t15)) % 14.71/15.02 (define @t30 () (tptp.fun @t15 @t13)) % 14.71/15.02 (define @t31 () (@list @t13 @t15)) % 14.71/15.02 (define @t32 () (tptp.combs @t13 @t15 @t14)) % 14.71/15.02 (define @t33 () (tptp.in_rel @t13 @t15)) % 14.71/15.02 (define @t34 () (tptp.fun @t15 tptp.bool)) % 14.71/15.02 (define @t35 () (tptp.fun @t13 @t34)) % 14.71/15.02 (define @t36 () (tptp.product_prod @t13 @t15)) % 14.71/15.02 (define @t37 () (tptp.fun @t36 tptp.bool)) % 14.71/15.02 (define @t38 () (tptp.fun @t37 @t35)) % 14.71/15.02 (define @t39 () (tptp.pi @t13 @t15)) % 14.71/15.02 (define @t40 () (tptp.fun @t18 tptp.bool)) % 14.71/15.02 (define @t41 () (tptp.fun @t35 @t40)) % 14.71/15.02 (define @t42 () (tptp.fun @t13 tptp.bool)) % 14.71/15.02 (define @t43 () (tptp.minus_minus @t13)) % 14.71/15.02 (define @t44 () (tptp.fun @t13 @t27)) % 14.71/15.02 (define @t45 () (tptp.minus @t13)) % 14.71/15.02 (define @t46 () (tptp.one_one @t13)) % 14.71/15.02 (define @t47 () (tptp.one @t13)) % 14.71/15.02 (define @t48 () (tptp.plus_plus @t13)) % 14.71/15.02 (define @t49 () (= (tptp.ti @t44 @t48) @t48)) % 14.71/15.02 (define @t50 () (tptp.monoid_add @t13)) % 14.71/15.02 (define @t51 () (tptp.ab_semigroup_add @t13)) % 14.71/15.02 (define @t52 () (tptp.cancel_semigroup_add @t13)) % 14.71/15.02 (define @t53 () (tptp.zero_zero @t13)) % 14.71/15.02 (define @t54 () (tptp.zero @t13)) % 14.71/15.02 (define @t55 () (tptp.equal_equal @t13)) % 14.71/15.02 (define @t56 () (tptp.fun @t13 @t42)) % 14.71/15.02 (define @t57 () (tptp.cl_HOL_Oequal @t13)) % 14.71/15.02 (define @t58 () (tptp.undefined @t13)) % 14.71/15.02 (define @t59 () (tptp.if @t13)) % 14.71/15.02 (define @t60 () (tptp.append @t13)) % 14.71/15.02 (define @t61 () (tptp.list @t13)) % 14.71/15.02 (define @t62 () (tptp.fun @t61 @t61)) % 14.71/15.02 (define @t63 () (tptp.fun @t61 @t62)) % 14.71/15.02 (define @t64 () (tptp.butlast @t13)) % 14.71/15.02 (define @t65 () (tptp.distinct @t13)) % 14.71/15.02 (define @t66 () (tptp.fun @t61 tptp.bool)) % 14.71/15.02 (define @t67 () (tptp.drop @t13)) % 14.71/15.02 (define @t68 () (tptp.fun tptp.nat @t62)) % 14.71/15.02 (define @t69 () (tptp.dropWhile @t13)) % 14.71/15.02 (define @t70 () (tptp.fun @t42 @t62)) % 14.71/15.02 (define @t71 () (tptp.hd @t13)) % 14.71/15.02 (define @t72 () (tptp.fun @t61 @t13)) % 14.71/15.02 (define @t73 () (tptp.insert @t13)) % 14.71/15.02 (define @t74 () (tptp.fun @t13 @t62)) % 14.71/15.02 (define @t75 () (tptp.last @t13)) % 14.71/15.02 (define @t76 () (tptp.lenlex @t13)) % 14.71/15.02 (define @t77 () (tptp.product_prod @t61 @t61)) % 14.71/15.02 (define @t78 () (tptp.fun @t77 tptp.bool)) % 14.71/15.02 (define @t79 () (tptp.product_prod @t13 @t13)) % 14.71/15.02 (define @t80 () (tptp.fun @t79 tptp.bool)) % 14.71/15.02 (define @t81 () (tptp.fun @t80 @t78)) % 14.71/15.02 (define @t82 () (tptp.lex @t13)) % 14.71/15.02 (define @t83 () (tptp.lexn @t13)) % 14.71/15.02 (define @t84 () (tptp.fun tptp.nat @t78)) % 14.71/15.02 (define @t85 () (tptp.lexord @t13)) % 14.71/15.02 (define @t86 () (tptp.linorder_sorted @t13)) % 14.71/15.02 (define @t87 () (tptp.linorder @t13)) % 14.71/15.02 (define @t88 () (tptp.cons @t13)) % 14.71/15.02 (define @t89 () (tptp.nil @t13)) % 14.71/15.02 (define @t90 () (tptp.list_case @t13 @t15)) % 14.71/15.02 (define @t91 () (tptp.list @t15)) % 14.71/15.02 (define @t92 () (tptp.fun @t91 @t13)) % 14.71/15.02 (define @t93 () (tptp.fun @t15 @t92)) % 14.71/15.02 (define @t94 () (tptp.fun @t93 @t92)) % 14.71/15.02 (define @t95 () (tptp.list_rec @t13 @t15)) % 14.71/15.02 (define @t96 () (tptp.fun @t91 @t27)) % 14.71/15.02 (define @t97 () (tptp.fun @t15 @t96)) % 14.71/15.02 (define @t98 () (tptp.fun @t97 @t92)) % 14.71/15.02 (define @t99 () (tptp.list_size @t13)) % 14.71/15.02 (define @t100 () (tptp.fun @t61 tptp.nat)) % 14.71/15.02 (define @t101 () (tptp.fun @t13 tptp.nat)) % 14.71/15.02 (define @t102 () (tptp.list_all2 @t13 @t15)) % 14.71/15.02 (define @t103 () (tptp.fun @t91 tptp.bool)) % 14.71/15.02 (define @t104 () (tptp.fun @t61 @t103)) % 14.71/15.02 (define @t105 () (tptp.list_update @t13)) % 14.71/15.02 (define @t106 () (tptp.fun @t13 @t61)) % 14.71/15.02 (define @t107 () (tptp.fun tptp.nat @t106)) % 14.71/15.02 (define @t108 () (tptp.listrel @t13)) % 14.71/15.02 (define @t109 () (tptp.listrel1 @t13)) % 14.71/15.02 (define @t110 () (tptp.listrelp @t13)) % 14.71/15.02 (define @t111 () (tptp.fun @t61 @t66)) % 14.71/15.02 (define @t112 () (tptp.listset @t13)) % 14.71/15.02 (define @t113 () (tptp.list @t42)) % 14.71/15.02 (define @t114 () (tptp.maps @t15 @t13)) % 14.71/15.02 (define @t115 () (tptp.fun @t91 @t61)) % 14.71/15.02 (define @t116 () (tptp.fun @t15 @t61)) % 14.71/15.02 (define @t117 () (@list @t15 @t13)) % 14.71/15.02 (define @t118 () (tptp.nth @t13)) % 14.71/15.02 (define @t119 () (tptp.fun tptp.nat @t13)) % 14.71/15.02 (define @t120 () (tptp.null @t15)) % 14.71/15.02 (define @t121 () (@list @t15)) % 14.71/15.02 (define @t122 () (tptp.partition @t13)) % 14.71/15.02 (define @t123 () (tptp.fun @t61 @t77)) % 14.71/15.02 (define @t124 () (tptp.replicate @t13)) % 14.71/15.02 (define @t125 () (tptp.rev @t13)) % 14.71/15.02 (define @t126 () (tptp.rotate1 @t13)) % 14.71/15.02 (define @t127 () (tptp.set @t13)) % 14.71/15.02 (define @t128 () (tptp.fun @t61 @t42)) % 14.71/15.02 (define @t129 () (tptp.set_Cons @t13)) % 14.71/15.02 (define @t130 () (tptp.fun @t66 @t66)) % 14.71/15.02 (define @t131 () (tptp.splice @t13)) % 14.71/15.02 (define @t132 () (tptp.sublist @t13)) % 14.71/15.02 (define @t133 () (tptp.fun tptp.nat tptp.bool)) % 14.71/15.02 (define @t134 () (tptp.fun @t133 @t61)) % 14.71/15.02 (define @t135 () (tptp.take @t13)) % 14.71/15.02 (define @t136 () (tptp.takeWhile @t13)) % 14.71/15.02 (define @t137 () (tptp.tl @t13)) % 14.71/15.02 (define @t138 () (tptp.zip @t13 @t15)) % 14.71/15.02 (define @t139 () (tptp.list @t36)) % 14.71/15.02 (define @t140 () (tptp.fun @t91 @t139)) % 14.71/15.02 (define @t141 () (tptp.fun @t61 @t140)) % 14.71/15.02 (define @t142 () (tptp.fun tptp.nat tptp.nat)) % 14.71/15.02 (define @t143 () (tptp.nat_case @t13)) % 14.71/15.02 (define @t144 () (tptp.fun @t119 @t119)) % 14.71/15.02 (define @t145 () (tptp.size_size tptp.nat)) % 14.71/15.02 (define @t146 () (tptp.size_size @t61)) % 14.71/15.02 (define @t147 () (tptp.order_215145569der_on tptp.arrow_2142409994le_alt)) % 14.71/15.02 (define @t148 () (tptp.fun tptp.arrow_2142409994le_alt tptp.bool)) % 14.71/15.02 (define @t149 () (tptp.min @t13)) % 14.71/15.02 (define @t150 () (tptp.ord @t13)) % 14.71/15.02 (define @t151 () (tptp.ord_less @t13)) % 14.71/15.02 (define @t152 () (tptp.ord_less_eq @t15)) % 14.71/15.02 (define @t153 () (tptp.ord @t15)) % 14.71/15.02 (define @t154 () (tptp.ord_min @t13)) % 14.71/15.02 (define @t155 () (tptp.top_top @t13)) % 14.71/15.02 (define @t156 () (tptp.top @t13)) % 14.71/15.02 (define @t157 () (tptp.reflp @t13)) % 14.71/15.02 (define @t158 () (tptp.product_Pair @t13 @t15)) % 14.71/15.02 (define @t159 () (tptp.fun @t15 @t36)) % 14.71/15.02 (define @t160 () (tptp.fun @t13 @t159)) % 14.71/15.02 (define @t161 () (tptp.product_curry @t13 @t15 @t14)) % 14.71/15.02 (define @t162 () (tptp.fun @t36 @t14)) % 14.71/15.02 (define @t163 () (tptp.produc1605651328_split @t15 @t14 @t13)) % 14.71/15.02 (define @t164 () (tptp.product_prod @t15 @t14)) % 14.71/15.02 (define @t165 () (tptp.fun @t164 @t13)) % 14.71/15.02 (define @t166 () (tptp.fun @t14 @t13)) % 14.71/15.02 (define @t167 () (tptp.fun @t15 @t166)) % 14.71/15.02 (define @t168 () (tptp.fun @t167 @t165)) % 14.71/15.02 (define @t169 () (@var "X_d" $$unsorted)) % 14.71/15.02 (define @t170 () (tptp.product_map_pair @t13 @t14 @t15 @t169)) % 14.71/15.02 (define @t171 () (tptp.product_prod @t14 @t169)) % 14.71/15.02 (define @t172 () (tptp.fun @t36 @t171)) % 14.71/15.02 (define @t173 () (tptp.fun @t15 @t169)) % 14.71/15.02 (define @t174 () (tptp.fun @t173 @t172)) % 14.71/15.02 (define @t175 () (tptp.product_prod_case @t15 @t14 @t13)) % 14.71/15.02 (define @t176 () (tptp.product_prod_rec @t15 @t14 @t13)) % 14.71/15.02 (define @t177 () (tptp.refl_on @t13)) % 14.71/15.02 (define @t178 () (tptp.fun @t80 tptp.bool)) % 14.71/15.02 (define @t179 () (tptp.collect @t13)) % 14.71/15.02 (define @t180 () (tptp.fun @t42 @t42)) % 14.71/15.02 (define @t181 () (tptp.transitive_rtrancl @t13)) % 14.71/15.02 (define @t182 () (tptp.fun @t80 @t80)) % 14.71/15.02 (define @t183 () (tptp.lex_prod @t13 @t15)) % 14.71/15.02 (define @t184 () (tptp.product_prod @t36 @t36)) % 14.71/15.02 (define @t185 () (tptp.fun @t184 tptp.bool)) % 14.71/15.02 (define @t186 () (tptp.product_prod @t15 @t15)) % 14.71/15.02 (define @t187 () (tptp.fun @t186 tptp.bool)) % 14.71/15.02 (define @t188 () (tptp.fun @t187 @t185)) % 14.71/15.02 (define @t189 () (tptp.measure @t13)) % 14.71/15.02 (define @t190 () (tptp.mlex_prod @t13)) % 14.71/15.02 (define @t191 () (tptp.fEx @t13)) % 14.71/15.02 (define @t192 () (tptp.fun @t42 tptp.bool)) % 14.71/15.02 (define @t193 () (tptp.fun tptp.bool tptp.bool)) % 14.71/15.02 (define @t194 () (tptp.fun tptp.bool @t193)) % 14.71/15.02 (define @t195 () (tptp.fequal @t13)) % 14.71/15.02 (define @t196 () (@var "B_2_1" $$unsorted)) % 14.71/15.02 (define @t197 () (@var "B_1_1" $$unsorted)) % 14.71/15.02 (define @t198 () (tptp.hAPP @t13 @t14 @t197 @t196)) % 14.71/15.02 (define @t199 () (@list @t13 @t14 @t197 @t196)) % 14.71/15.02 (define @t200 () (tptp.member @t15)) % 14.71/15.02 (define @t201 () (tptp.fun @t34 tptp.bool)) % 14.71/15.02 (define @t202 () (tptp.ti tptp.arrow_2142409994le_alt tptp.a)) % 14.71/15.02 (define @t203 () (tptp.ti tptp.arrow_2142409994le_alt tptp.b)) % 14.71/15.02 (define @t204 () (tptp.ti tptp.arrow_2142409994le_alt tptp.c)) % 14.71/15.02 (define @t205 () (tptp.member @t3)) % 14.71/15.02 (define @t206 () (tptp.fun @t7 tptp.bool)) % 14.71/15.02 (define @t207 () (tptp.hAPP @t3 @t206 @t205 tptp.p)) % 14.71/15.02 (define @t208 () (tptp.nil tptp.arrow_2142409994le_alt)) % 14.71/15.02 (define @t209 () (tptp.cons tptp.arrow_2142409994le_alt)) % 14.71/15.02 (define @t210 () (tptp.list tptp.arrow_2142409994le_alt)) % 14.71/15.02 (define @t211 () (tptp.fun @t210 @t210)) % 14.71/15.02 (define @t212 () (tptp.hAPP tptp.arrow_2142409994le_alt @t211 @t209 tptp.c)) % 14.71/15.02 (define @t213 () (tptp.hAPP @t210 @t210 @t212 @t208)) % 14.71/15.02 (define @t214 () (tptp.hAPP tptp.arrow_2142409994le_alt @t211 @t209 tptp.b)) % 14.71/15.02 (define @t215 () (tptp.hAPP @t210 @t210 @t214 @t213)) % 14.71/15.02 (define @t216 () (tptp.hAPP tptp.arrow_2142409994le_alt @t211 @t209 tptp.a)) % 14.71/15.02 (define @t217 () (tptp.hAPP @t210 @t210 @t216 @t215)) % 14.71/15.02 (define @t218 () (tptp.distinct tptp.arrow_2142409994le_alt)) % 14.71/15.02 (define @t219 () (tptp.hBOOL (tptp.hAPP @t210 tptp.bool @t218 @t217))) % 14.71/15.02 (define @t220 () (@var "I" $$unsorted)) % 14.71/15.03 (define @t221 () (tptp.product_Pair tptp.arrow_2142409994le_alt tptp.arrow_2142409994le_alt)) % 14.71/15.03 (define @t222 () (tptp.fun tptp.arrow_2142409994le_alt @t1)) % 14.71/15.03 (define @t223 () (tptp.hAPP tptp.arrow_2142409994le_alt @t222 @t221 tptp.b)) % 14.71/15.03 (define @t224 () (tptp.member @t1)) % 14.71/15.03 (define @t225 () (tptp.hAPP tptp.arrow_1998540521e_indi @t2 tptp.p @t220)) % 14.71/15.03 (define @t226 () (tptp.hAPP tptp.arrow_2142409994le_alt @t222 @t221 tptp.a)) % 14.71/15.03 (define @t227 () (tptp.hAPP @t1 @t6 @t224 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t226 tptp.b))) % 14.71/15.03 (define @t228 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t227 @t225))) % 14.71/15.03 (define @t229 () (@list @t220)) % 14.71/15.03 (define @t230 () (@var "C_2" $$unsorted)) % 14.71/15.03 (define @t231 () (tptp.hAPP @t210 @t210 (tptp.hAPP tptp.arrow_2142409994le_alt @t211 @t209 @t230) @t208)) % 14.71/15.03 (define @t232 () (@list @t230)) % 14.71/15.03 (define @t233 () (forall @t232 (not (tptp.hBOOL (tptp.hAPP @t210 tptp.bool @t218 (tptp.hAPP @t210 @t210 @t216 (tptp.hAPP @t210 @t210 @t214 @t231))))))) % 14.71/15.03 (define @t234 () (tptp.fun tptp.arrow_1998540521e_indi @t9)) % 14.71/15.03 (define @t235 () (tptp.hAPP @t10 (tptp.fun @t3 @t234) (tptp.combb @t2 @t9 tptp.arrow_1998540521e_indi) tptp.arrow_1665824030_below)) % 14.71/15.03 (define @t236 () (tptp.combc tptp.arrow_1998540521e_indi tptp.arrow_2142409994le_alt @t8)) % 14.71/15.03 (define @t237 () (tptp.fun tptp.arrow_1998540521e_indi @t8)) % 14.71/15.03 (define @t238 () (tptp.fun tptp.arrow_2142409994le_alt @t237)) % 14.71/15.03 (define @t239 () (tptp.combc tptp.arrow_1998540521e_indi tptp.arrow_2142409994le_alt @t2)) % 14.71/15.03 (define @t240 () (tptp.fun tptp.arrow_2142409994le_alt @t3)) % 14.71/15.03 (define @t241 () (tptp.hAPP tptp.arrow_2142409994le_alt @t3 (tptp.hAPP @t237 @t240 @t239 (tptp.hAPP tptp.arrow_2142409994le_alt @t237 (tptp.hAPP @t234 @t238 @t236 (tptp.hAPP @t3 @t234 @t235 tptp.p)) tptp.c)) tptp.b)) % 14.71/15.03 (define @t242 () (tptp.hAPP tptp.arrow_2142409994le_alt @t3 (tptp.hAPP @t237 @t240 @t239 (tptp.hAPP tptp.arrow_2142409994le_alt @t237 (tptp.hAPP @t234 @t238 @t236 (tptp.hAPP @t3 @t234 @t235 @t241)) tptp.b)) tptp.a)) % 14.71/15.03 (define @t243 () (@var "L_3" $$unsorted)) % 14.71/15.03 (define @t244 () (@var "Y_1" $$unsorted)) % 14.71/15.03 (define @t245 () (@var "X_1" $$unsorted)) % 14.71/15.03 (define @t246 () (tptp.hAPP tptp.arrow_2142409994le_alt @t222 @t221 @t245)) % 14.71/15.03 (define @t247 () (tptp.hAPP @t1 @t6 @t224 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t246 @t244))) % 14.71/15.03 (define @t248 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t247 @t243))) % 14.71/15.03 (define @t249 () (@var "Z_2" $$unsorted)) % 14.71/15.03 (define @t250 () (tptp.ti tptp.arrow_2142409994le_alt @t249)) % 14.71/15.03 (define @t251 () (tptp.ti tptp.arrow_2142409994le_alt @t245)) % 14.71/15.03 (define @t252 () (= @t251 @t250)) % 14.71/15.03 (define @t253 () (not @t252)) % 14.71/15.03 (define @t254 () (tptp.ti tptp.arrow_2142409994le_alt @t244)) % 14.71/15.03 (define @t255 () (not (= @t251 @t254))) % 14.71/15.03 (define @t256 () (= @t254 @t250)) % 14.71/15.03 (define @t257 () (not @t256)) % 14.71/15.03 (define @t258 () (tptp.hAPP @t2 @t8 tptp.arrow_1622070166_mkbot @t243)) % 14.71/15.03 (define @t259 () (@list @t245 @t244 @t243 @t249)) % 14.71/15.03 (define @t260 () (tptp.hAPP @t2 @t8 tptp.arrow_1770777252_mktop @t243)) % 14.71/15.03 (define @t261 () (@var "Aa" $$unsorted)) % 14.71/15.03 (define @t262 () (tptp.ti tptp.arrow_2142409994le_alt @t261)) % 14.71/15.03 (define @t263 () (= @t251 @t262)) % 14.71/15.03 (define @t264 () (not @t263)) % 14.71/15.03 (define @t265 () (@var "Ba" $$unsorted)) % 14.71/15.03 (define @t266 () (tptp.hAPP tptp.arrow_2142409994le_alt @t222 @t221 @t265)) % 14.71/15.03 (define @t267 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t224 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t266 @t244)) @t243))) % 14.71/15.03 (define @t268 () (tptp.ti tptp.arrow_2142409994le_alt @t265)) % 14.71/15.03 (define @t269 () (= @t254 @t268)) % 14.71/15.03 (define @t270 () (or @t269 @t267)) % 14.71/15.03 (define @t271 () (and (=> @t263 @t270) (=> @t264 @t248))) % 14.71/15.03 (define @t272 () (= @t254 @t262)) % 14.71/15.03 (define @t273 () (not @t272)) % 14.71/15.03 (define @t274 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t224 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t246 @t265)) @t243))) % 14.71/15.03 (define @t275 () (and @t255 (=> @t272 @t274) (=> @t273 @t271))) % 14.71/15.03 (define @t276 () (tptp.hAPP @t2 @t9 tptp.arrow_1665824030_below @t243)) % 14.71/15.03 (define @t277 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t247 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 (tptp.hAPP tptp.arrow_2142409994le_alt @t8 @t276 @t261) @t265)))) % 14.71/15.03 (define @t278 () (= @t277 @t275)) % 14.71/15.03 (define @t279 () (tptp.member @t2)) % 14.71/15.03 (define @t280 () (tptp.fun @t6 tptp.bool)) % 14.71/15.03 (define @t281 () (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t280 @t279 @t243) tptp.arrow_1568854078le_Lin))) % 14.71/15.03 (define @t282 () (=> @t281 @t278)) % 14.71/15.03 (define @t283 () (= @t262 @t268)) % 14.71/15.03 (define @t284 () (not @t283)) % 14.71/15.03 (define @t285 () (@list @t245 @t244 @t243 @t261 @t265)) % 14.71/15.03 (define @t286 () (forall @t285 (=> @t284 @t282))) % 14.71/15.03 (define @t287 () (@var "B_2" $$unsorted)) % 14.71/15.03 (define @t288 () (@var "A_5" $$unsorted)) % 14.71/15.03 (define @t289 () (tptp.hAPP @t15 @t36 (tptp.hAPP @t13 @t159 @t158 @t288) @t287)) % 14.71/15.03 (define @t290 () (@var "Pa" $$unsorted)) % 14.71/15.03 (define @t291 () (tptp.hBOOL (tptp.hAPP @t36 tptp.bool @t290 @t289))) % 14.71/15.03 (define @t292 () (@list @t288 @t287)) % 14.71/15.03 (define @t293 () (@var "X1" $$unsorted)) % 14.71/15.03 (define @t294 () (tptp.hBOOL (tptp.hAPP @t36 tptp.bool @t290 @t293))) % 14.71/15.03 (define @t295 () (@list @t293)) % 14.71/15.03 (define @t296 () (@list @t13 @t15 @t290)) % 14.71/15.03 (define @t297 () (@var "B_3" $$unsorted)) % 14.71/15.03 (define @t298 () (@var "A_3" $$unsorted)) % 14.71/15.03 (define @t299 () (tptp.ti @t13 @t261)) % 14.71/15.03 (define @t300 () (= @t299 (tptp.ti @t13 @t298))) % 14.71/15.03 (define @t301 () (tptp.hAPP @t15 @t36 (tptp.hAPP @t13 @t159 @t158 @t298) @t297)) % 14.71/15.03 (define @t302 () (tptp.hAPP @t15 @t36 (tptp.hAPP @t13 @t159 @t158 @t261) @t265)) % 14.71/15.03 (define @t303 () (@var "B_4" $$unsorted)) % 14.71/15.03 (define @t304 () (@var "B" $$unsorted)) % 14.71/15.03 (define @t305 () (@var "A_6" $$unsorted)) % 14.71/15.03 (define @t306 () (@var "A_1" $$unsorted)) % 14.71/15.03 (define @t307 () (tptp.ti @t13 @t306)) % 14.71/15.03 (define @t308 () (@var "R_2" $$unsorted)) % 14.71/15.03 (define @t309 () (tptp.hAPP @t13 @t159 @t158 @t245)) % 14.71/15.03 (define @t310 () (tptp.member @t36)) % 14.71/15.03 (define @t311 () (tptp.fun @t37 tptp.bool)) % 14.71/15.03 (define @t312 () (tptp.hAPP @t36 @t311 @t310 (tptp.hAPP @t15 @t36 @t309 @t244))) % 14.71/15.03 (define @t313 () (@list @t243 @t245 @t244)) % 14.71/15.03 (define @t314 () (@var "P_a" $$unsorted)) % 14.71/15.03 (define @t315 () (tptp.hAPP @t1 @t6 @t224 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 (tptp.hAPP tptp.arrow_2142409994le_alt @t222 @t221 @t298) @t297))) % 14.71/15.03 (define @t316 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t315 (tptp.hAPP @t3 @t2 tptp.f @t314)))) % 14.71/15.03 (define @t317 () (tptp.hAPP tptp.arrow_2142409994le_alt @t222 @t221 @t261)) % 14.71/15.03 (define @t318 () (tptp.hAPP @t1 @t6 @t224 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t317 @t265))) % 14.71/15.03 (define @t319 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t318 (tptp.hAPP @t3 @t2 tptp.f @t290)))) % 14.71/15.03 (define @t320 () (forall @t229 (= (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t318 (tptp.hAPP tptp.arrow_1998540521e_indi @t2 @t290 @t220))) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t315 (tptp.hAPP tptp.arrow_1998540521e_indi @t2 @t314 @t220)))))) % 14.71/15.03 (define @t321 () (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t206 @t205 @t314) tptp.arrow_301600364e_Prof))) % 14.71/15.03 (define @t322 () (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t206 @t205 @t290) tptp.arrow_301600364e_Prof))) % 14.71/15.03 (define @t323 () (tptp.ti tptp.arrow_2142409994le_alt @t298)) % 14.71/15.03 (define @t324 () (not (= @t268 @t323))) % 14.71/15.03 (define @t325 () (tptp.ti tptp.arrow_2142409994le_alt @t297)) % 14.71/15.03 (define @t326 () (not (= @t262 @t325))) % 14.71/15.03 (define @t327 () (not (= @t323 @t325))) % 14.71/15.03 (define @t328 () (@list @t314 @t290 @t298 @t297 @t261 @t265)) % 14.71/15.03 (define @t329 () (tptp.fun @t3 @t6)) % 14.71/15.03 (define @t330 () (tptp.hAPP @t329 @t5 (tptp.hAPP @t7 (tptp.fun @t329 @t5) (tptp.pi @t3 @t2) tptp.arrow_301600364e_Prof) (tptp.hAPP @t6 @t329 (tptp.combk @t6 @t3) tptp.arrow_1568854078le_Lin))) % 14.71/15.03 (define @t331 () (tptp.member @t4)) % 14.71/15.03 (define @t332 () (tptp.fun @t5 tptp.bool)) % 14.71/15.03 (define @t333 () (@list @t245 @t243)) % 14.71/15.03 (define @t334 () (@list @t306 @t304)) % 14.71/15.03 (define @t335 () (@var "Xa" $$unsorted)) % 14.71/15.03 (define @t336 () (@var "Fa_1" $$unsorted)) % 14.71/15.03 (define @t337 () (tptp.hAPP @t1 @t6 @t224 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 (tptp.hAPP tptp.arrow_2142409994le_alt @t222 @t221 @t288) @t287))) % 14.71/15.03 (define @t338 () (@var "X_2" $$unsorted)) % 14.71/15.03 (define @t339 () (tptp.hAPP @t3 @t2 @t336 @t338)) % 14.71/15.03 (define @t340 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t337 @t339))) % 14.71/15.03 (define @t341 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t337 (tptp.hAPP tptp.arrow_1998540521e_indi @t2 @t338 @t220)))) % 14.71/15.03 (define @t342 () (@list @t335)) % 14.71/15.03 (define @t343 () (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t206 @t205 @t338) tptp.arrow_301600364e_Prof))) % 14.71/15.03 (define @t344 () (@list @t338)) % 14.71/15.03 (define @t345 () (@list @t336)) % 14.71/15.03 (define @t346 () (@list @t261 @t265)) % 14.71/15.03 (define @t347 () (= @t251 @t268)) % 14.71/15.03 (define @t348 () (tptp.hAPP @t2 @t9 tptp.arrow_357225482_above @t243)) % 14.71/15.03 (define @t349 () (@var "F1" $$unsorted)) % 14.71/15.03 (define @t350 () (tptp.hAPP @t14 @t13 (tptp.hAPP @t15 @t166 @t349 @t261) @t265)) % 14.71/15.03 (define @t351 () (tptp.product_Pair @t15 @t14)) % 14.71/15.03 (define @t352 () (tptp.fun @t14 @t164)) % 14.71/15.03 (define @t353 () (tptp.hAPP @t14 @t164 (tptp.hAPP @t15 @t352 @t351 @t261) @t265)) % 14.71/15.03 (define @t354 () (@list @t15 @t14 @t13 @t349 @t261 @t265)) % 14.71/15.03 (define @t355 () (@var "List_4" $$unsorted)) % 14.71/15.03 (define @t356 () (tptp.hAPP @t61 @t61 (tptp.hAPP @t13 @t62 @t88 @t305) @t355)) % 14.71/15.03 (define @t357 () (@list @t13 @t305 @t355)) % 14.71/15.03 (define @t358 () (tptp.hBOOL (tptp.hAPP @t210 tptp.bool @t218 (tptp.hAPP @t210 @t210 (tptp.hAPP tptp.arrow_2142409994le_alt @t211 @t209 @t288) (tptp.hAPP @t210 @t210 (tptp.hAPP tptp.arrow_2142409994le_alt @t211 @t209 @t287) @t231))))) % 14.71/15.03 (define @t359 () (@list @t288 @t287 @t230)) % 14.71/15.03 (define @t360 () (@var "L_4" $$unsorted)) % 14.71/15.03 (define @t361 () (@var "I_1" $$unsorted)) % 14.71/15.03 (define @t362 () (tptp.hAPP tptp.arrow_1998540521e_indi @t2 @t338 @t361)) % 14.71/15.03 (define @t363 () (tptp.hBOOL (tptp.hAPP tptp.arrow_1998540521e_indi tptp.bool (tptp.hAPP @t4 @t11 tptp.arrow_708804735ctator @t336) @t361))) % 14.71/15.03 (define @t364 () (@var "List_3" $$unsorted)) % 14.71/15.03 (define @t365 () (@var "List" $$unsorted)) % 14.71/15.03 (define @t366 () (tptp.hAPP @t13 @t62 @t88 @t261)) % 14.71/15.03 (define @t367 () (tptp.hAPP @t61 @t61 @t366 @t365)) % 14.71/15.03 (define @t368 () (@var "Xs" $$unsorted)) % 14.71/15.03 (define @t369 () (@var "X" $$unsorted)) % 14.71/15.03 (define @t370 () (tptp.hAPP @t13 @t62 @t88 @t369)) % 14.71/15.03 (define @t371 () (tptp.hAPP @t61 @t61 @t370 @t368)) % 14.71/15.03 (define @t372 () (@list @t13 @t369 @t368)) % 14.71/15.03 (define @t373 () (@list @t13 @t368 @t369)) % 14.71/15.03 (define @t374 () (@var "A_2" $$unsorted)) % 14.71/15.03 (define @t375 () (tptp.member @t13)) % 14.71/15.03 (define @t376 () (tptp.hAPP @t13 @t192 @t375 @t245)) % 14.71/15.03 (define @t377 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t376 @t374))) % 14.71/15.03 (define @t378 () (not @t377)) % 14.71/15.03 (define @t379 () (@var "B_1" $$unsorted)) % 14.71/15.03 (define @t380 () (@var "F" $$unsorted)) % 14.71/15.03 (define @t381 () (tptp.hAPP @t13 @t15 @t380 @t245)) % 14.71/15.03 (define @t382 () (tptp.hAPP @t15 @t201 @t200 @t381)) % 14.71/15.03 (define @t383 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t382 (tptp.hAPP @t13 @t34 @t379 @t245)))) % 14.71/15.03 (define @t384 () (not @t383)) % 14.71/15.03 (define @t385 () (=> @t384 @t378)) % 14.71/15.03 (define @t386 () (tptp.hAPP @t42 @t41 @t39 @t374)) % 14.71/15.03 (define @t387 () (tptp.hAPP @t35 @t40 @t386 @t379)) % 14.71/15.03 (define @t388 () (tptp.member @t18)) % 14.71/15.03 (define @t389 () (tptp.fun @t40 tptp.bool)) % 14.71/15.03 (define @t390 () (tptp.hAPP @t18 @t389 @t388 @t380)) % 14.71/15.03 (define @t391 () (tptp.hBOOL (tptp.hAPP @t40 tptp.bool @t390 @t387))) % 14.71/15.03 (define @t392 () (@list @t13 @t15 @t245 @t380 @t374 @t379)) % 14.71/15.03 (define @t393 () (forall @t392 (=> @t391 @t385))) % 14.71/15.03 (define @t394 () (@var "List_2" $$unsorted)) % 14.71/15.03 (define @t395 () (tptp.hAPP @t13 @t62 @t88 @t288)) % 14.71/15.03 (define @t396 () (@var "Y" $$unsorted)) % 14.71/15.03 (define @t397 () (@var "Ys_2" $$unsorted)) % 14.71/15.03 (define @t398 () (@var "Y_2" $$unsorted)) % 14.71/15.03 (define @t399 () (tptp.hAPP @t13 @t62 @t88 @t398)) % 14.71/15.03 (define @t400 () (tptp.hAPP @t61 @t61 @t399 @t397)) % 14.71/15.03 (define @t401 () (@var "Xs_1" $$unsorted)) % 14.71/15.03 (define @t402 () (= @t401 @t400)) % 14.71/15.03 (define @t403 () (@list @t398 @t397)) % 14.71/15.03 (define @t404 () (= @t401 @t89)) % 14.71/15.03 (define @t405 () (not @t404)) % 14.71/15.03 (define @t406 () (@list @t13 @t401)) % 14.71/15.03 (define @t407 () (tptp.fun @t27 tptp.bool)) % 14.71/15.03 (define @t408 () (@list @t13 @t374)) % 14.71/15.03 (define @t409 () (tptp.combk @t34 @t13)) % 14.71/15.03 (define @t410 () (tptp.hBOOL (tptp.hAPP @t40 tptp.bool @t390 (tptp.hAPP @t35 @t40 @t386 (tptp.hAPP @t34 @t35 @t409 @t379))))) % 14.71/15.03 (define @t411 () (@var "Va" $$unsorted)) % 14.71/15.03 (define @t412 () (@var "V_1" $$unsorted)) % 14.71/15.03 (define @t413 () (tptp.hAPP @t61 @t61 (tptp.hAPP @t13 @t62 @t88 @t412) @t411)) % 14.71/15.03 (define @t414 () (tptp.ti @t13 @t349)) % 14.71/15.03 (define @t415 () (tptp.nil @t15)) % 14.71/15.03 (define @t416 () (@var "F2" $$unsorted)) % 14.71/15.03 (define @t417 () (tptp.hAPP @t93 @t92 (tptp.hAPP @t13 @t94 @t90 @t349) @t416)) % 14.71/15.03 (define @t418 () (@list @t15 @t13 @t349 @t416)) % 14.71/15.03 (define @t419 () (tptp.cons @t15)) % 14.71/15.03 (define @t420 () (tptp.fun @t91 @t91)) % 14.71/15.03 (define @t421 () (tptp.hAPP @t91 @t91 (tptp.hAPP @t15 @t420 @t419 @t261) @t365)) % 14.71/15.03 (define @t422 () (@list @t15 @t13 @t349 @t416 @t261 @t365)) % 14.71/15.03 (define @t423 () (@var "X_f" $$unsorted)) % 14.71/15.03 (define @t424 () (@var "X_e" $$unsorted)) % 14.71/15.03 (define @t425 () (tptp.product_prod @t424 @t423)) % 14.71/15.03 (define @t426 () (tptp.product_prod @t169 @t425)) % 14.71/15.03 (define @t427 () (tptp.product_prod @t14 @t426)) % 14.71/15.03 (define @t428 () (tptp.product_prod @t15 @t427)) % 14.71/15.03 (define @t429 () (tptp.product_prod @t13 @t428)) % 14.71/15.03 (define @t430 () (@var "F_1" $$unsorted)) % 14.71/15.03 (define @t431 () (@var "E" $$unsorted)) % 14.71/15.03 (define @t432 () (@var "D_3" $$unsorted)) % 14.71/15.03 (define @t433 () (tptp.hAPP @t428 @t429 (tptp.hAPP @t13 (tptp.fun @t428 @t429) (tptp.product_Pair @t13 @t428) @t288) (tptp.hAPP @t427 @t428 (tptp.hAPP @t15 (tptp.fun @t427 @t428) (tptp.product_Pair @t15 @t427) @t287) (tptp.hAPP @t426 @t427 (tptp.hAPP @t14 (tptp.fun @t426 @t427) (tptp.product_Pair @t14 @t426) @t230) (tptp.hAPP @t425 @t426 (tptp.hAPP @t169 (tptp.fun @t425 @t426) (tptp.product_Pair @t169 @t425) @t432) (tptp.hAPP @t423 @t425 (tptp.hAPP @t424 (tptp.fun @t423 @t425) (tptp.product_Pair @t424 @t423) @t431) @t430)))))) % 14.71/15.03 (define @t434 () (@list @t288 @t287 @t230 @t432 @t431 @t430)) % 14.71/15.03 (define @t435 () (@var "Ys_1" $$unsorted)) % 14.71/15.03 (define @t436 () (tptp.hAPP @t61 @t62 @t131 @t368)) % 14.71/15.03 (define @t437 () (tptp.hAPP @t61 @t61 @t436 @t435)) % 14.71/15.03 (define @t438 () (tptp.hAPP @t13 @t62 @t88 @t396)) % 14.71/15.03 (define @t439 () (tptp.hAPP @t61 @t61 @t438 @t435)) % 14.71/15.03 (define @t440 () (@list @t13 @t435)) % 14.71/15.03 (define @t441 () (@list @t13 @t368)) % 14.71/15.03 (define @t442 () (tptp.product_prod @t169 @t424)) % 14.71/15.03 (define @t443 () (tptp.product_prod @t14 @t442)) % 14.71/15.03 (define @t444 () (tptp.product_prod @t15 @t443)) % 14.71/15.03 (define @t445 () (tptp.product_prod @t13 @t444)) % 14.71/15.03 (define @t446 () (tptp.hAPP @t444 @t445 (tptp.hAPP @t13 (tptp.fun @t444 @t445) (tptp.product_Pair @t13 @t444) @t288) (tptp.hAPP @t443 @t444 (tptp.hAPP @t15 (tptp.fun @t443 @t444) (tptp.product_Pair @t15 @t443) @t287) (tptp.hAPP @t442 @t443 (tptp.hAPP @t14 (tptp.fun @t442 @t443) (tptp.product_Pair @t14 @t442) @t230) (tptp.hAPP @t424 @t442 (tptp.hAPP @t169 (tptp.fun @t424 @t442) (tptp.product_Pair @t169 @t424) @t432) @t431))))) % 14.71/15.03 (define @t447 () (@list @t288 @t287 @t230 @t432 @t431)) % 14.71/15.03 (define @t448 () (tptp.hAPP @t13 @t34 @t379 @t338)) % 14.71/15.03 (define @t449 () (tptp.hAPP @t13 @t15 @t380 @t338)) % 14.71/15.03 (define @t450 () (tptp.hAPP @t15 @t201 @t200 @t449)) % 14.71/15.03 (define @t451 () (tptp.hAPP @t13 @t192 @t375 @t338)) % 14.71/15.03 (define @t452 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t451 @t374))) % 14.71/15.03 (define @t453 () (@list @t15 @t13 @t380 @t379 @t374)) % 14.71/15.03 (define @t454 () (tptp.product_Pair @t14 @t169)) % 14.71/15.03 (define @t455 () (tptp.fun @t169 @t171)) % 14.71/15.03 (define @t456 () (tptp.product_prod @t15 @t171)) % 14.71/15.03 (define @t457 () (tptp.product_prod @t13 @t456)) % 14.71/15.03 (define @t458 () (tptp.hAPP @t456 @t457 (tptp.hAPP @t13 (tptp.fun @t456 @t457) (tptp.product_Pair @t13 @t456) @t288) (tptp.hAPP @t171 @t456 (tptp.hAPP @t15 (tptp.fun @t171 @t456) (tptp.product_Pair @t15 @t171) @t287) (tptp.hAPP @t169 @t171 (tptp.hAPP @t14 @t455 @t454 @t230) @t432)))) % 14.71/15.03 (define @t459 () (@list @t288 @t287 @t230 @t432)) % 14.71/15.03 (define @t460 () (tptp.product_prod @t13 @t164)) % 14.71/15.03 (define @t461 () (tptp.hAPP @t164 @t460 (tptp.hAPP @t13 (tptp.fun @t164 @t460) (tptp.product_Pair @t13 @t164) @t288) (tptp.hAPP @t14 @t164 (tptp.hAPP @t15 @t352 @t351 @t287) @t230))) % 14.71/15.03 (define @t462 () (@var "G" $$unsorted)) % 14.71/15.03 (define @t463 () (@var "W" $$unsorted)) % 14.71/15.03 (define @t464 () (@list @t463)) % 14.71/15.03 (define @t465 () (tptp.hAPP @t13 @t159 @t158 @t338)) % 14.71/15.03 (define @t466 () (tptp.hAPP @t15 @t36 @t465 @t398)) % 14.71/15.03 (define @t467 () (@var "P_2" $$unsorted)) % 14.71/15.03 (define @t468 () (@list @t338 @t398)) % 14.71/15.03 (define @t469 () (@var "S_2" $$unsorted)) % 14.71/15.03 (define @t470 () (tptp.hAPP @t36 @t311 @t310 (tptp.hAPP @t15 @t36 @t465 @t335))) % 14.71/15.03 (define @t471 () (@var "Ca" $$unsorted)) % 14.71/15.03 (define @t472 () (tptp.hAPP @t61 @t61 @t370 @t89)) % 14.71/15.03 (define @t473 () (tptp.hAPP @t13 @t62 @t73 @t369)) % 14.71/15.03 (define @t474 () (@list @t13 @t369)) % 14.71/15.03 (define @t475 () (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t290 @t401))) % 14.71/15.03 (define @t476 () (@var "Xs_2" $$unsorted)) % 14.71/15.03 (define @t477 () (tptp.hAPP @t13 @t62 @t88 @t338)) % 14.71/15.03 (define @t478 () (tptp.hAPP @t61 @t61 @t477 @t476)) % 14.71/15.03 (define @t479 () (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t290 @t476))) % 14.71/15.03 (define @t480 () (@list @t338 @t476)) % 14.71/15.03 (define @t481 () (tptp.hAPP @t61 @t61 @t477 @t89)) % 14.71/15.03 (define @t482 () (@list @t13 @t290 @t401)) % 14.71/15.03 (define @t483 () (tptp.hAPP @t13 @t15 @t462 @t338)) % 14.71/15.03 (define @t484 () (@list @t13 @t245 @t374)) % 14.71/15.03 (define @t485 () (@list @t13 @t290)) % 14.71/15.03 (define @t486 () (tptp.hAPP @t97 @t92 (tptp.hAPP @t13 @t98 @t95 @t349) @t416)) % 14.71/15.03 (define @t487 () (@var "Xb_1" $$unsorted)) % 14.71/15.03 (define @t488 () (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t34 (tptp.hAPP @t37 @t35 (tptp.product_curry @t13 @t15 tptp.bool) @t380) @t261) @t265))) % 14.71/15.03 (define @t489 () (tptp.hBOOL (tptp.hAPP @t36 tptp.bool @t380 @t302))) % 14.71/15.03 (define @t490 () (@list @t13 @t15 @t380 @t261 @t265)) % 14.71/15.03 (define @t491 () (@list @t15 @t13 @t380 @t261 @t265)) % 14.71/15.03 (define @t492 () (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t65 @t368))) % 14.71/15.03 (define @t493 () (tptp.null @t13)) % 14.71/15.03 (define @t494 () (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t493 @t401))) % 14.71/15.03 (define @t495 () (tptp.fun tptp.arrow_1998540521e_indi @t6)) % 14.71/15.03 (define @t496 () (tptp.hAPP @t6 @t495 (tptp.combk @t6 tptp.arrow_1998540521e_indi) tptp.arrow_1568854078le_Lin)) % 14.71/15.03 (define @t497 () (tptp.top_top @t11)) % 14.71/15.03 (define @t498 () (tptp.hAPP @t495 @t7 (tptp.hAPP @t11 (tptp.fun @t495 @t7) (tptp.pi tptp.arrow_1998540521e_indi @t2) @t497) @t496)) % 14.71/15.03 (define @t499 () (@var "R_1" $$unsorted)) % 14.71/15.03 (define @t500 () (tptp.hAPP @t80 @t78 @t85 @t499)) % 14.71/15.03 (define @t501 () (tptp.product_Pair @t61 @t61)) % 14.71/15.03 (define @t502 () (tptp.hAPP @t61 @t123 @t501 @t245)) % 14.71/15.03 (define @t503 () (tptp.member @t77)) % 14.71/15.03 (define @t504 () (tptp.fun @t78 tptp.bool)) % 14.71/15.03 (define @t505 () (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t502 @t244))) % 14.71/15.03 (define @t506 () (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t505 @t500))) % 14.71/15.03 (define @t507 () (tptp.ti @t13 @t265)) % 14.71/15.03 (define @t508 () (= @t299 @t507)) % 14.71/15.03 (define @t509 () (tptp.product_Pair @t13 @t13)) % 14.71/15.03 (define @t510 () (tptp.fun @t13 @t79)) % 14.71/15.03 (define @t511 () (tptp.hAPP @t13 @t510 @t509 @t261)) % 14.71/15.03 (define @t512 () (tptp.member @t79)) % 14.71/15.03 (define @t513 () (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t511 @t265))) % 14.71/15.03 (define @t514 () (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t513 @t499))) % 14.71/15.03 (define @t515 () (tptp.hAPP @t61 @t61 (tptp.hAPP @t13 @t62 @t88 @t265) @t244)) % 14.71/15.03 (define @t516 () (tptp.hAPP @t61 @t61 @t366 @t245)) % 14.71/15.03 (define @t517 () (tptp.hAPP @t116 @t115 @t114 @t380)) % 14.71/15.03 (define @t518 () (@list @t369)) % 14.71/15.03 (define @t519 () (tptp.hAPP @t61 @t61 @t64 @t368)) % 14.71/15.03 (define @t520 () (= @t368 @t89)) % 14.71/15.03 (define @t521 () (not @t520)) % 14.71/15.03 (define @t522 () (tptp.hAPP @t61 @t13 @t75 @t368)) % 14.71/15.03 (define @t523 () (tptp.hAPP @t61 @t13 @t75 @t371)) % 14.71/15.03 (define @t524 () (= @t523 @t522)) % 14.71/15.03 (define @t525 () (=> @t521 @t524)) % 14.71/15.03 (define @t526 () (tptp.ti @t13 @t369)) % 14.71/15.03 (define @t527 () (= @t523 @t526)) % 14.71/15.03 (define @t528 () (=> @t520 @t527)) % 14.71/15.03 (define @t529 () (and @t528 @t525)) % 14.71/15.03 (define @t530 () (forall @t372 @t529)) % 14.71/15.03 (define @t531 () (tptp.top_top @t42)) % 14.71/15.03 (define @t532 () (@list @t13 @t245)) % 14.71/15.03 (define @t533 () (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t368))) % 14.71/15.03 (define @t534 () (@list @t368)) % 14.71/15.03 (define @t535 () (@list @t13 @t245 @t499)) % 14.71/15.03 (define @t536 () (tptp.hAPP @t61 @t61 @t64 @t371)) % 14.71/15.03 (define @t537 () (tptp.hAPP @t61 @t123 @t501 @t89)) % 14.71/15.03 (define @t538 () (= @t245 @t244)) % 14.71/15.03 (define @t539 () (tptp.hAPP @t13 @t510 @t509 @t287)) % 14.71/15.03 (define @t540 () (tptp.ti @t13 @t288)) % 14.71/15.03 (define @t541 () (tptp.hAPP @t13 @t510 @t509 @t288)) % 14.71/15.03 (define @t542 () (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t541 @t287))) % 14.71/15.03 (define @t543 () (@list @t13 @t245 @t244 @t499)) % 14.71/15.03 (define @t544 () (tptp.hAPP @t61 @t123 @t501 @t401)) % 14.71/15.03 (define @t545 () (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t544 @t401))) % 14.71/15.03 (define @t546 () (tptp.hAPP @t13 @t510 @t509 @t338)) % 14.71/15.03 (define @t547 () (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t546 @t338)) @t499))) % 14.71/15.03 (define @t548 () (@list @t13 @t401 @t499)) % 14.71/15.03 (define @t549 () (@list @t245)) % 14.71/15.03 (define @t550 () (tptp.hAPP @t61 @t61 @t64 @t401)) % 14.71/15.03 (define @t551 () (tptp.hAPP @t56 @t56 (tptp.combc @t13 @t13 tptp.bool) @t195)) % 14.71/15.03 (define @t552 () (tptp.combb tptp.bool tptp.bool @t13)) % 14.71/15.03 (define @t553 () (tptp.hAPP @t193 @t180 @t552 tptp.fNot)) % 14.71/15.03 (define @t554 () (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t65 @t401))) % 14.71/15.03 (define @t555 () (tptp.equal_equal @t61)) % 14.71/15.03 (define @t556 () (tptp.hAPP @t61 @t77 @t537 @t89)) % 14.71/15.03 (define @t557 () (tptp.hAPP @t42 @t123 @t122 @t290)) % 14.71/15.03 (define @t558 () (tptp.hAPP @t42 @t62 @t136 @t290)) % 14.71/15.03 (define @t559 () (tptp.hAPP @t61 @t61 @t558 @t401)) % 14.71/15.03 (define @t560 () (@var "L_1" $$unsorted)) % 14.71/15.03 (define @t561 () (tptp.hAPP @t13 @t62 @t88 @t245)) % 14.71/15.03 (define @t562 () (tptp.hAPP @t61 @t61 @t561 @t560)) % 14.71/15.03 (define @t563 () (tptp.hAPP @t61 @t62 @t60 @t401)) % 14.71/15.03 (define @t564 () (tptp.hAPP @t13 tptp.bool @t290 @t245)) % 14.71/15.03 (define @t565 () (tptp.hBOOL @t564)) % 14.71/15.03 (define @t566 () (not @t565)) % 14.71/15.03 (define @t567 () (@var "Us_2" $$unsorted)) % 14.71/15.03 (define @t568 () (@var "Zs_2" $$unsorted)) % 14.71/15.03 (define @t569 () (tptp.hAPP @t61 @t62 @t60 @t368)) % 14.71/15.03 (define @t570 () (tptp.hAPP @t61 @t61 @t569 @t435)) % 14.71/15.03 (define @t571 () (@var "Xs1" $$unsorted)) % 14.71/15.03 (define @t572 () (tptp.hAPP @t61 @t62 @t60 @t571)) % 14.71/15.03 (define @t573 () (@var "Zs_1" $$unsorted)) % 14.71/15.03 (define @t574 () (@var "Ys" $$unsorted)) % 14.71/15.03 (define @t575 () (= @t574 @t573)) % 14.71/15.03 (define @t576 () (tptp.hAPP @t61 @t62 @t60 @t573)) % 14.71/15.03 (define @t577 () (tptp.hAPP @t61 @t62 @t60 @t574)) % 14.71/15.03 (define @t578 () (tptp.hAPP @t61 @t61 @t563 @t574)) % 14.71/15.03 (define @t579 () (@list @t13 @t401 @t574 @t573)) % 14.71/15.03 (define @t580 () (@var "Ts" $$unsorted)) % 14.71/15.03 (define @t581 () (@var "Us" $$unsorted)) % 14.71/15.03 (define @t582 () (tptp.hAPP @t61 @t62 @t60 @t581)) % 14.71/15.03 (define @t583 () (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t435) @t568)) % 14.71/15.03 (define @t584 () (@list @t13 @t369 @t368 @t435)) % 14.71/15.03 (define @t585 () (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t89) @t435)) % 14.71/15.03 (define @t586 () (forall @t440 (= @t585 @t435))) % 14.71/15.03 (define @t587 () (= @t574 @t89)) % 14.71/15.03 (define @t588 () (and @t404 @t587)) % 14.71/15.03 (define @t589 () (@list @t13 @t401 @t574)) % 14.71/15.03 (define @t590 () (= @t368 @t435)) % 14.71/15.03 (define @t591 () (@list @t13 @t368 @t435)) % 14.71/15.03 (define @t592 () (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t401))) % 14.71/15.03 (define @t593 () (@list @t290 @t401)) % 14.71/15.03 (define @t594 () (@var "Ys_3" $$unsorted)) % 14.71/15.03 (define @t595 () (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t594) @t573)) % 14.71/15.03 (define @t596 () (tptp.hAPP @t61 @t61 @t561 @t594)) % 14.71/15.03 (define @t597 () (@list @t594)) % 14.71/15.03 (define @t598 () (tptp.hAPP @t61 @t61 @t561 @t401)) % 14.71/15.03 (define @t599 () (tptp.hAPP @t61 @t61 @t577 @t573)) % 14.71/15.03 (define @t600 () (tptp.ti @t13 @t244)) % 14.71/15.03 (define @t601 () (tptp.ti @t13 @t245)) % 14.71/15.03 (define @t602 () (= @t601 @t600)) % 14.71/15.03 (define @t603 () (= @t401 @t574)) % 14.71/15.03 (define @t604 () (tptp.hAPP @t13 @t62 @t88 @t244)) % 14.71/15.03 (define @t605 () (tptp.hAPP @t61 @t61 @t604 @t89)) % 14.71/15.03 (define @t606 () (tptp.hAPP @t61 @t61 @t577 @t605)) % 14.71/15.03 (define @t607 () (tptp.hAPP @t61 @t61 @t561 @t89)) % 14.71/15.03 (define @t608 () (tptp.hAPP @t61 @t61 @t563 @t607)) % 14.71/15.03 (define @t609 () (tptp.hAPP @t61 @t61 @t64 @t570)) % 14.71/15.03 (define @t610 () (= @t435 @t89)) % 14.71/15.03 (define @t611 () (not @t610)) % 14.71/15.03 (define @t612 () (tptp.hAPP @t61 @t13 @t75 @t570)) % 14.71/15.03 (define @t613 () (=> @t610 (= @t612 @t522))) % 14.71/15.03 (define @t614 () (=> @t611 (= @t612 (tptp.hAPP @t61 @t13 @t75 @t435)))) % 14.71/15.03 (define @t615 () (@var "V" $$unsorted)) % 14.71/15.03 (define @t616 () (tptp.hAPP @t61 @t62 @t60 @t245)) % 14.71/15.03 (define @t617 () (@var "U" $$unsorted)) % 14.71/15.03 (define @t618 () (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 (tptp.hAPP @t61 @t123 @t501 (tptp.hAPP @t61 @t61 @t616 @t617)) (tptp.hAPP @t61 @t61 @t616 @t615))) @t500))) % 14.71/15.03 (define @t619 () (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 (tptp.hAPP @t61 @t123 @t501 @t617) @t615)) @t500))) % 14.71/15.03 (define @t620 () (@list @t13 @t245 @t617 @t615 @t499)) % 14.71/15.03 (define @t621 () (tptp.hAPP @t61 @t61 @t558 @t598)) % 14.71/15.03 (define @t622 () (@list @t13 @t401 @t290 @t245)) % 14.71/15.03 (define @t623 () (tptp.hAPP @t61 @t61 @t569 @t472)) % 14.71/15.03 (define @t624 () (tptp.hAPP @t61 @t62 @t60 @t617)) % 14.71/15.03 (define @t625 () (tptp.hAPP @t61 @t61 @t64 @t574)) % 14.71/15.03 (define @t626 () (@var "Z" $$unsorted)) % 14.71/15.03 (define @t627 () (@list @t288)) % 14.71/15.03 (define @t628 () (tptp.hAPP @t61 @t62 @t60 @t476)) % 14.71/15.03 (define @t629 () (tptp.hAPP @t61 @t61 @t399 @t89)) % 14.71/15.03 (define @t630 () (tptp.hAPP @t61 @t62 @t60 @t397)) % 14.71/15.03 (define @t631 () (tptp.hAPP @t13 @t510 @t509 @t245)) % 14.71/15.03 (define @t632 () (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t631 @t244))) % 14.71/15.03 (define @t633 () (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t632 @t499))) % 14.71/15.03 (define @t634 () (tptp.hAPP @t80 @t78 @t109 @t499)) % 14.71/15.03 (define @t635 () (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t544 @t574))) % 14.71/15.03 (define @t636 () (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t635 @t634))) % 14.71/15.03 (define @t637 () (tptp.hAPP @t63 @t63 (tptp.combc @t61 @t61 @t61) @t60)) % 14.71/15.03 (define @t638 () (tptp.list_case @t61 @t13)) % 14.71/15.03 (define @t639 () (tptp.fun @t74 @t62)) % 14.71/15.03 (define @t640 () (tptp.hAPP @t61 @t61 @t126 @t401)) % 14.71/15.03 (define @t641 () (tptp.hAPP @t15 @t420 @t419 @t369)) % 14.71/15.03 (define @t642 () (tptp.append @t15)) % 14.71/15.03 (define @t643 () (tptp.ti @t42 @t374)) % 14.71/15.03 (define @t644 () (tptp.hAPP @t61 @t123 @t501 @t598)) % 14.71/15.03 (define @t645 () (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t644 (tptp.hAPP @t61 @t61 @t561 @t574)))) % 14.71/15.03 (define @t646 () (@list @t13 @t245 @t401 @t574 @t499)) % 14.71/15.03 (define @t647 () (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t544 @t89))) % 14.71/15.03 (define @t648 () (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t537 @t401))) % 14.71/15.03 (define @t649 () (@var "Vs_1" $$unsorted)) % 14.71/15.03 (define @t650 () (@var "Us_1" $$unsorted)) % 14.71/15.03 (define @t651 () (tptp.hAPP @t61 @t61 @t563 @t650)) % 14.71/15.03 (define @t652 () (tptp.hAPP @t61 @t61 @t604 @t574)) % 14.71/15.03 (define @t653 () (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t644 @t652))) % 14.71/15.03 (define @t654 () (@list @t13 @t245 @t401 @t244 @t574 @t499)) % 14.71/15.03 (define @t655 () (tptp.hAPP @t61 @t62 @t60 @t650)) % 14.71/15.03 (define @t656 () (@var "Vs" $$unsorted)) % 14.71/15.03 (define @t657 () (@list @t581 @t656)) % 14.71/15.03 (define @t658 () (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t546 @t398)) @t499))) % 14.71/15.03 (define @t659 () (@list @t13 @t401 @t574 @t499)) % 14.71/15.03 (define @t660 () (@var "Zs" $$unsorted)) % 14.71/15.03 (define @t661 () (tptp.hAPP @t61 @t61 @t561 @t660)) % 14.71/15.03 (define @t662 () (@list @t660)) % 14.71/15.03 (define @t663 () (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t631 @t398)) @t499))) % 14.71/15.03 (define @t664 () (@list @t398)) % 14.71/15.03 (define @t665 () (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t546 @t244)) @t499))) % 14.71/15.03 (define @t666 () (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t544 @t652))) % 14.71/15.03 (define @t667 () (@list @t13 @t401 @t244 @t574 @t499)) % 14.71/15.03 (define @t668 () (tptp.hAPP @t61 @t62 @t60 @t559)) % 14.71/15.03 (define @t669 () (tptp.hAPP @t42 @t62 @t69 @t290)) % 14.71/15.03 (define @t670 () (tptp.hAPP @t61 @t61 @t669 @t401)) % 14.71/15.03 (define @t671 () (tptp.hAPP @t80 @t78 @t82 @t499)) % 14.71/15.03 (define @t672 () (tptp.hAPP @t61 @t77 @t557 @t401)) % 14.71/15.03 (define @t673 () (tptp.fun @t62 @t123)) % 14.71/15.03 (define @t674 () (tptp.fun @t61 @t673)) % 14.71/15.03 (define @t675 () (tptp.fun @t61 @t123)) % 14.71/15.03 (define @t676 () (tptp.fun @t62 @t675)) % 14.71/15.03 (define @t677 () (tptp.fun @t77 @t77)) % 14.71/15.03 (define @t678 () (tptp.fun @t77 @t677)) % 14.71/15.03 (define @t679 () (tptp.fun @t61 @t677)) % 14.71/15.03 (define @t680 () (tptp.fun @t123 @t679)) % 14.71/15.03 (define @t681 () (tptp.fun @t61 @t679)) % 14.71/15.03 (define @t682 () (tptp.fun @t123 @t123)) % 14.71/15.03 (define @t683 () (tptp.fun @t61 @t682)) % 14.71/15.03 (define @t684 () (@var "P_1" $$unsorted)) % 14.71/15.03 (define @t685 () (tptp.hAPP @t167 @t165 @t175 @t380)) % 14.71/15.03 (define @t686 () (tptp.fun @t424 @t13)) % 14.71/15.03 (define @t687 () (tptp.fun @t424 @t164)) % 14.71/15.03 (define @t688 () (tptp.fun @t687 @t686)) % 14.71/15.03 (define @t689 () (tptp.fun @t169 @t686)) % 14.71/15.03 (define @t690 () (tptp.fun @t169 @t687)) % 14.71/15.03 (define @t691 () (@var "Q_2" $$unsorted)) % 14.71/15.03 (define @t692 () (tptp.product_prod_case @t13 @t15 @t14)) % 14.71/15.03 (define @t693 () (tptp.hAPP @t24 @t162 @t692 @t471)) % 14.71/15.03 (define @t694 () (tptp.ti @t36 @t691)) % 14.71/15.03 (define @t695 () (tptp.ti @t36 @t684)) % 14.71/15.03 (define @t696 () (= @t695 @t694)) % 14.71/15.03 (define @t697 () (tptp.hAPP @t61 @t61 @t669 @t598)) % 14.71/15.03 (define @t698 () (tptp.ti @t162 @t380)) % 14.71/15.03 (define @t699 () (tptp.fun @t159 @t20)) % 14.71/15.03 (define @t700 () (@list @t13 @t15 @t14 @t380)) % 14.71/15.03 (define @t701 () (tptp.hAPP @t24 @t162 @t692 @t380)) % 14.71/15.03 (define @t702 () (tptp.hAPP @t15 @t14 (tptp.hAPP @t13 @t20 @t380 @t338) @t398)) % 14.71/15.03 (define @t703 () (@var "Q_1" $$unsorted)) % 14.71/15.03 (define @t704 () (tptp.hAPP @t14 @t164 (tptp.hAPP @t15 @t352 @t351 @t338) @t398)) % 14.71/15.03 (define @t705 () (tptp.hAPP @t61 tptp.nat @t146 @t574)) % 14.71/15.03 (define @t706 () (tptp.hAPP @t61 tptp.nat @t146 @t401)) % 14.71/15.03 (define @t707 () (= @t706 @t705)) % 14.71/15.03 (define @t708 () (tptp.hAPP @t61 @t62 @t60 @t629)) % 14.71/15.03 (define @t709 () (@var "Ws_1" $$unsorted)) % 14.71/15.03 (define @t710 () (tptp.hAPP @t80 @t78 @t108 @t499)) % 14.71/15.03 (define @t711 () (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t635 @t710))) % 14.71/15.03 (define @t712 () (@list @t13 @t401 @t574 @t245 @t244 @t499)) % 14.71/15.03 (define @t713 () (tptp.product_prod_case @t13 @t15 tptp.bool)) % 14.71/15.03 (define @t714 () (tptp.hBOOL (tptp.hAPP @t36 tptp.bool (tptp.hAPP @t35 @t37 @t713 @t380) @t302))) % 14.71/15.03 (define @t715 () (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t34 @t380 @t261) @t265))) % 14.71/15.03 (define @t716 () (tptp.fun @t14 @t42)) % 14.71/15.03 (define @t717 () (tptp.hAPP (tptp.fun @t15 @t716) (tptp.fun @t164 @t42) (tptp.product_prod_case @t15 @t14 @t42) @t471)) % 14.71/15.03 (define @t718 () (tptp.hAPP @t13 @t192 @t375 @t249)) % 14.71/15.03 (define @t719 () (tptp.hAPP @t61 tptp.nat @t146 @t435)) % 14.71/15.03 (define @t720 () (tptp.hAPP @t61 tptp.nat @t146 @t368)) % 14.71/15.03 (define @t721 () (= @t720 @t719)) % 14.71/15.03 (define @t722 () (tptp.fun @t14 tptp.bool)) % 14.71/15.03 (define @t723 () (tptp.fun @t15 @t722)) % 14.71/15.03 (define @t724 () (tptp.product_prod_case @t13 @t15 @t722)) % 14.71/15.03 (define @t725 () (tptp.fun @t36 @t722)) % 14.71/15.03 (define @t726 () (tptp.fun @t13 @t723)) % 14.71/15.03 (define @t727 () (tptp.hAPP @t61 @t61 @t126 @t368)) % 14.71/15.03 (define @t728 () (tptp.hAPP @t61 @t61 @t137 @t371)) % 14.71/15.03 (define @t729 () (forall @t372 (= @t728 @t368))) % 14.71/15.03 (define @t730 () (tptp.hAPP @t61 @t61 @t137 @t368)) % 14.71/15.03 (define @t731 () (@list @t13 @t499)) % 14.71/15.03 (define @t732 () (tptp.hAPP @t61 @t62 @t60 @t730)) % 14.71/15.03 (define @t733 () (@list @t13 @t435 @t368)) % 14.71/15.03 (define @t734 () (tptp.hAPP @t61 tptp.nat @t146 @t244)) % 14.71/15.03 (define @t735 () (tptp.hAPP @t61 tptp.nat @t146 @t245)) % 14.71/15.03 (define @t736 () (= @t735 @t734)) % 14.71/15.03 (define @t737 () (@list @t245 @t244)) % 14.71/15.03 (define @t738 () (tptp.hAPP @t61 @t123 @t501 @t476)) % 14.71/15.03 (define @t739 () (tptp.hAPP @t61 @t123 @t501 @t574)) % 14.71/15.03 (define @t740 () (tptp.size_size @t91)) % 14.71/15.03 (define @t741 () (tptp.hAPP @t61 tptp.nat @t146 @t476)) % 14.71/15.03 (define @t742 () (tptp.hAPP @t91 tptp.nat @t740 @t574)) % 14.71/15.03 (define @t743 () (= @t706 @t742)) % 14.71/15.03 (define @t744 () (@list @t13 @t15 @t290 @t401 @t574)) % 14.71/15.03 (define @t745 () (tptp.hBOOL (tptp.hAPP @t36 tptp.bool (tptp.hAPP @t35 @t37 @t713 @t471) @t684))) % 14.71/15.03 (define @t746 () (= @t695 @t289)) % 14.71/15.03 (define @t747 () (@list @t13 @t15 @t471 @t684)) % 14.71/15.03 (define @t748 () (= @t695 @t466)) % 14.71/15.03 (define @t749 () (tptp.hAPP @t36 @t722 (tptp.hAPP @t726 @t725 @t724 @t471) @t684)) % 14.71/15.03 (define @t750 () (tptp.hAPP @t14 (tptp.fun @t722 tptp.bool) (tptp.member @t14) @t249)) % 14.71/15.03 (define @t751 () (tptp.hAPP @t15 @t722 (tptp.hAPP @t13 @t723 @t471 @t288) @t287)) % 14.71/15.03 (define @t752 () (tptp.hBOOL @t290)) % 14.71/15.03 (define @t753 () (tptp.fun @t34 @t34)) % 14.71/15.03 (define @t754 () (tptp.fun @t13 @t178)) % 14.71/15.03 (define @t755 () (tptp.fun @t510 @t754)) % 14.71/15.03 (define @t756 () (tptp.fun @t13 @t754)) % 14.71/15.03 (define @t757 () (tptp.fun @t13 @t510)) % 14.71/15.03 (define @t758 () (tptp.fun @t80 @t42)) % 14.71/15.03 (define @t759 () (tptp.fun @t13 @t758)) % 14.71/15.03 (define @t760 () (tptp.hAPP @t80 @t56 (tptp.hAPP @t759 (tptp.fun @t80 @t56) (tptp.combc @t13 @t80 @t42) (tptp.hAPP @t756 @t759 (tptp.hAPP (tptp.fun @t754 @t758) (tptp.fun @t756 @t759) (tptp.combb @t754 @t758 @t13) (tptp.combc @t13 @t80 tptp.bool)) (tptp.hAPP @t757 @t756 (tptp.hAPP @t755 (tptp.fun @t757 @t756) (tptp.combb @t510 @t754 @t13) (tptp.hAPP (tptp.fun @t79 @t178) @t755 (tptp.combb @t79 @t178 @t13) @t512)) @t509))) @t499)) % 14.71/15.03 (define @t761 () (tptp.hAPP @t61 @t13 @t71 @t368)) % 14.71/15.03 (define @t762 () (tptp.hAPP @t13 @t62 @t88 @t761)) % 14.71/15.03 (define @t763 () (@var "A2" $$unsorted)) % 14.71/15.03 (define @t764 () (= @t763 @t400)) % 14.71/15.03 (define @t765 () (@var "A1" $$unsorted)) % 14.71/15.03 (define @t766 () (= @t765 @t478)) % 14.71/15.03 (define @t767 () (@list @t338 @t398 @t476 @t397)) % 14.71/15.03 (define @t768 () (and (= @t765 @t89) (= @t763 @t89))) % 14.71/15.03 (define @t769 () (@list @t13 @t765 @t763 @t499)) % 14.71/15.03 (define @t770 () (@var "N_2" $$unsorted)) % 14.71/15.03 (define @t771 () (@var "N" $$unsorted)) % 14.71/15.03 (define @t772 () (@list @t476)) % 14.71/15.03 (define @t773 () (@list @t13 @t771)) % 14.71/15.03 (define @t774 () (@var "I_2" $$unsorted)) % 14.71/15.03 (define @t775 () (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t124 @t774) @t369)) % 14.71/15.03 (define @t776 () (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t124 @t771) @t369)) % 14.71/15.03 (define @t777 () (@list @t13 @t771 @t369)) % 14.71/15.03 (define @t778 () (@var "K" $$unsorted)) % 14.71/15.03 (define @t779 () (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t124 @t778) @t369)) % 14.71/15.03 (define @t780 () (tptp.hAPP @t61 @t62 @t60 @t776)) % 14.71/15.03 (define @t781 () (@list @t13 @t771 @t369 @t368)) % 14.71/15.03 (define @t782 () (tptp.hAPP @t56 @t111 @t110 @t499)) % 14.71/15.03 (define @t783 () (tptp.hAPP @t13 @t42 @t499 @t245)) % 14.71/15.03 (define @t784 () (tptp.hAPP @t61 @t13 @t71 @t570)) % 14.71/15.03 (define @t785 () (=> @t521 (= @t784 @t761))) % 14.71/15.03 (define @t786 () (= @t670 @t89)) % 14.71/15.03 (define @t787 () (tptp.hAPP @t13 @t42 @t499 @t338)) % 14.71/15.03 (define @t788 () (tptp.hAPP @t61 @t61 @t125 @t368)) % 14.71/15.03 (define @t789 () (tptp.hAPP @t61 tptp.nat @t146 @t559)) % 14.71/15.03 (define @t790 () (tptp.hAPP @t61 @t61 @t370 @t435)) % 14.71/15.03 (define @t791 () (tptp.hAPP @t61 @t61 @t569 @t790)) % 14.71/15.03 (define @t792 () (tptp.fun @t13 @t455)) % 14.71/15.03 (define @t793 () (tptp.fun @t15 @t171)) % 14.71/15.03 (define @t794 () (tptp.fun @t173 @t793)) % 14.71/15.03 (define @t795 () (tptp.fun @t13 @t794)) % 14.71/15.03 (define @t796 () (tptp.fun @t13 @t793)) % 14.71/15.03 (define @t797 () (tptp.hAPP @t78 @t78 (tptp.transitive_rtrancl @t61) @t634)) % 14.71/15.03 (define @t798 () (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t635 @t797))) % 14.71/15.03 (define @t799 () (tptp.hAPP @t80 @t80 @t181 @t499)) % 14.71/15.03 (define @t800 () (tptp.hAPP @t80 @t78 @t108 @t799)) % 14.71/15.03 (define @t801 () (tptp.fun @t36 @t36)) % 14.71/15.03 (define @t802 () (tptp.fun @t15 @t15)) % 14.71/15.03 (define @t803 () (@var "X_3" $$unsorted)) % 14.71/15.03 (define @t804 () (@var "I_4" $$unsorted)) % 14.71/15.03 (define @t805 () (tptp.hAPP @t61 @t107 @t105 @t368)) % 14.71/15.03 (define @t806 () (tptp.hAPP tptp.nat @t106 @t805 @t774)) % 14.71/15.03 (define @t807 () (tptp.hAPP @t13 @t61 @t806 @t369)) % 14.71/15.03 (define @t808 () (tptp.hAPP @t61 @t107 @t105 @t807)) % 14.71/15.03 (define @t809 () (tptp.hAPP @t13 @t61 @t806 @t396)) % 14.71/15.03 (define @t810 () (tptp.hAPP @t61 @t61 @t125 @t574)) % 14.71/15.03 (define @t811 () (tptp.hAPP @t61 @t61 @t125 @t401)) % 14.71/15.03 (define @t812 () (tptp.hAPP tptp.nat @t62 @t67 @t771)) % 14.71/15.03 (define @t813 () (tptp.hAPP @t61 @t61 @t125 @t89)) % 14.71/15.03 (define @t814 () (forall @t28 (= @t813 @t89))) % 14.71/15.03 (define @t815 () (tptp.hAPP tptp.nat @t62 @t67 @t774)) % 14.71/15.03 (define @t816 () (tptp.hAPP @t61 @t61 @t815 @t368)) % 14.71/15.03 (define @t817 () (@list @t13 @t774 @t368)) % 14.71/15.03 (define @t818 () (tptp.hAPP @t61 @t61 @t812 @t368)) % 14.71/15.03 (define @t819 () (@list @t771 @t368)) % 14.71/15.03 (define @t820 () (@var "K_1" $$unsorted)) % 14.71/15.03 (define @t821 () (tptp.hAPP @t61 @t107 @t105 @t401)) % 14.71/15.03 (define @t822 () (tptp.hAPP tptp.nat @t106 (tptp.hAPP @t61 @t107 @t105 @t89) @t774)) % 14.71/15.03 (define @t823 () (tptp.hAPP @t61 @t61 @t64 @t818)) % 14.71/15.03 (define @t824 () (tptp.hAPP @t61 @t61 @t812 @t519)) % 14.71/15.03 (define @t825 () (@list @t13 @t771 @t368)) % 14.71/15.03 (define @t826 () (tptp.hAPP @t61 @t61 @t137 @t818)) % 14.71/15.03 (define @t827 () (tptp.hAPP @t61 @t61 @t812 @t730)) % 14.71/15.03 (define @t828 () (tptp.fun @t171 @t36)) % 14.71/15.03 (define @t829 () (tptp.fun @t169 @t15)) % 14.71/15.03 (define @t830 () (= @t401 @t607)) % 14.71/15.03 (define @t831 () (@list @t13 @t401 @t245)) % 14.71/15.03 (define @t832 () (@list @t13 @t245 @t401)) % 14.71/15.03 (define @t833 () (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t544 @t573))) % 14.71/15.03 (define @t834 () (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t739 @t573))) % 14.71/15.03 (define @t835 () (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t635 @t800))) % 14.71/15.03 (define @t836 () (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t511 @t261))) % 14.71/15.03 (define @t837 () (tptp.hAPP @t79 @t178 @t512 @t684)) % 14.71/15.03 (define @t838 () (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t511 @t471)) @t799))) % 14.71/15.03 (define @t839 () (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 (tptp.hAPP @t13 @t510 @t509 @t265) @t471))) % 14.71/15.03 (define @t840 () (=> (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t839 @t799)) @t838)) % 14.71/15.03 (define @t841 () (@list @t13 @t471 @t261 @t265 @t499)) % 14.71/15.03 (define @t842 () (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t513 @t799))) % 14.71/15.03 (define @t843 () (tptp.hAPP @t42 @t42 @t553 (tptp.hAPP @t13 @t42 @t551 @t245))) % 14.71/15.03 (define @t844 () (tptp.hAPP @t42 @t62 @t69 @t843)) % 14.71/15.03 (define @t845 () (tptp.hAPP @t42 @t62 @t136 @t843)) % 14.71/15.03 (define @t846 () (tptp.hAPP @t61 @t42 @t127 @t401)) % 14.71/15.03 (define @t847 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t376 @t846))) % 14.71/15.03 (define @t848 () (tptp.hAPP @t13 @t192 @t375 @t244)) % 14.71/15.03 (define @t849 () (tptp.hAPP @t61 @t42 @t127 @t598)) % 14.71/15.03 (define @t850 () (tptp.hAPP tptp.nat @t62 @t67 @t770)) % 14.71/15.03 (define @t851 () (tptp.hAPP @t61 @t61 @t850 @t401)) % 14.71/15.03 (define @t852 () (tptp.hAPP @t61 @t42 @t127 @t851)) % 14.71/15.03 (define @t853 () (@list @t13 @t245 @t770 @t401)) % 14.71/15.03 (define @t854 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t290 @t338))) % 14.71/15.03 (define @t855 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t451 @t846))) % 14.71/15.03 (define @t856 () (forall @t344 (=> @t855 @t854))) % 14.71/15.03 (define @t857 () (@list @t13 @t245 @t290 @t401)) % 14.71/15.03 (define @t858 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t376 (tptp.hAPP @t61 @t42 @t127 @t550)))) % 14.71/15.03 (define @t859 () (tptp.hAPP @t61 @t61 (tptp.hAPP @t13 @t62 @t73 @t245) @t401)) % 14.71/15.03 (define @t860 () (=> @t847 (= @t859 @t401))) % 14.71/15.03 (define @t861 () (not @t847)) % 14.71/15.03 (define @t862 () (tptp.hAPP @t61 @t42 @t127 @t574)) % 14.71/15.03 (define @t863 () (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t574))) % 14.71/15.03 (define @t864 () (tptp.hAPP @t61 @t61 @t558 @t578)) % 14.71/15.03 (define @t865 () (@list @t13 @t574 @t290 @t245 @t401)) % 14.71/15.03 (define @t866 () (@var "As" $$unsorted)) % 14.71/15.03 (define @t867 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t13 @t192 @t375 (tptp.hAPP @t61 @t13 @t75 @t866)) (tptp.hAPP @t61 @t42 @t127 @t866)))) % 14.71/15.03 (define @t868 () (not (= @t866 @t89))) % 14.71/15.03 (define @t869 () (=> @t868 @t867)) % 14.71/15.03 (define @t870 () (@list @t13 @t866)) % 14.71/15.03 (define @t871 () (forall @t870 @t869)) % 14.71/15.03 (define @t872 () (tptp.hAPP @t61 @t61 @t669 @t578)) % 14.71/15.03 (define @t873 () (=> @t861 (= @t859 @t598))) % 14.71/15.03 (define @t874 () (not @t854)) % 14.71/15.03 (define @t875 () (@var "No" $$unsorted)) % 14.71/15.03 (define @t876 () (@var "Yes" $$unsorted)) % 14.71/15.03 (define @t877 () (tptp.hAPP @t13 @t510 @t509 @t398)) % 14.71/15.03 (define @t878 () (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t877 @t626)) @t499))) % 14.71/15.03 (define @t879 () (@list @t13 @t574 @t290 @t401)) % 14.71/15.03 (define @t880 () (= @t401 (tptp.hAPP @t61 @t61 @t630 (tptp.hAPP @t61 @t61 @t477 @t660)))) % 14.71/15.03 (define @t881 () (exists @t662 @t880)) % 14.71/15.03 (define @t882 () (@list @t397 @t338)) % 14.71/15.03 (define @t883 () (exists @t344 (and @t855 @t854))) % 14.71/15.03 (define @t884 () (tptp.hAPP @t61 @t42 @t127 @t397)) % 14.71/15.03 (define @t885 () (= @t401 (tptp.hAPP @t61 @t61 @t630 @t661))) % 14.71/15.03 (define @t886 () (@list @t397 @t660)) % 14.71/15.03 (define @t887 () (exists @t886 (and @t885 (not (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t376 @t884)))))) % 14.71/15.03 (define @t888 () (tptp.hAPP @t61 @t42 @t127 @t660)) % 14.71/15.03 (define @t889 () (exists @t886 (and @t885 (not (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t376 @t888)))))) % 14.71/15.03 (define @t890 () (exists @t886 @t885)) % 14.71/15.03 (define @t891 () (forall @t344 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t451 (tptp.hAPP @t61 @t42 @t127 @t560))) (= @t854 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t703 @t338)))))) % 14.71/15.03 (define @t892 () (= @t560 @t820)) % 14.71/15.03 (define @t893 () (@list @t13 @t703 @t290 @t560 @t820)) % 14.71/15.03 (define @t894 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t290 @t265))) % 14.71/15.03 (define @t895 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t290 @t626))) % 14.71/15.03 (define @t896 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t290 @t398))) % 14.71/15.03 (define @t897 () (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t511 @t398)) @t799))) % 14.71/15.03 (define @t898 () (@list @t398 @t626)) % 14.71/15.03 (define @t899 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t290 @t261))) % 14.71/15.03 (define @t900 () (@list @t13 @t290 @t261 @t265 @t499)) % 14.71/15.03 (define @t901 () (not (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t290 @t335)))) % 14.71/15.03 (define @t902 () (tptp.hAPP @t13 @t192 @t375 @t335)) % 14.71/15.03 (define @t903 () (forall @t342 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t902 @t884)) @t901))) % 14.71/15.03 (define @t904 () (forall @t342 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t902 @t888)) @t901))) % 14.71/15.03 (define @t905 () (@list @t397 @t338 @t660)) % 14.71/15.03 (define @t906 () (exists @t905 (and @t880 @t854 @t904))) % 14.71/15.03 (define @t907 () (exists @t882 (and @t881 @t854 @t903))) % 14.71/15.03 (define @t908 () (tptp.fun tptp.nat @t61)) % 14.71/15.03 (define @t909 () (tptp.fun @t908 @t908)) % 14.71/15.03 (define @t910 () (tptp.hAPP @t62 @t909 (tptp.combb @t61 @t61 tptp.nat) @t561)) % 14.71/15.03 (define @t911 () (tptp.nat_case @t61)) % 14.71/15.03 (define @t912 () (tptp.combc tptp.nat @t61 @t61)) % 14.71/15.03 (define @t913 () (tptp.fun @t61 @t908)) % 14.71/15.03 (define @t914 () (@list @t13 @t770 @t245 @t401)) % 14.71/15.03 (define @t915 () (tptp.hAPP @t185 @t185 (tptp.transitive_rtrancl @t36) @t499)) % 14.71/15.03 (define @t916 () (@var "Zb" $$unsorted)) % 14.71/15.03 (define @t917 () (@var "Za" $$unsorted)) % 14.71/15.03 (define @t918 () (tptp.hAPP @t15 @t36 (tptp.hAPP @t13 @t159 @t158 @t917) @t916)) % 14.71/15.03 (define @t919 () (tptp.product_Pair @t36 @t36)) % 14.71/15.03 (define @t920 () (tptp.fun @t36 @t184)) % 14.71/15.03 (define @t921 () (tptp.hAPP @t36 @t920 @t919 @t289)) % 14.71/15.03 (define @t922 () (tptp.member @t184)) % 14.71/15.03 (define @t923 () (tptp.fun @t185 tptp.bool)) % 14.71/15.03 (define @t924 () (@var "Xb" $$unsorted)) % 14.71/15.03 (define @t925 () (@var "Xa_1" $$unsorted)) % 14.71/15.03 (define @t926 () (tptp.hAPP @t15 @t36 (tptp.hAPP @t13 @t159 @t158 @t925) @t924)) % 14.71/15.03 (define @t927 () (tptp.hAPP @t36 @t920 @t919 @t926)) % 14.71/15.03 (define @t928 () (@var "Ay" $$unsorted)) % 14.71/15.03 (define @t929 () (@var "Ax" $$unsorted)) % 14.71/15.03 (define @t930 () (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t34 @t290 @t929) @t928))) % 14.71/15.03 (define @t931 () (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t34 @t290 @t288) @t287))) % 14.71/15.03 (define @t932 () (@var "Ba_1" $$unsorted)) % 14.71/15.03 (define @t933 () (@var "Aa_1" $$unsorted)) % 14.71/15.03 (define @t934 () (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t34 @t290 @t933) @t932))) % 14.71/15.03 (define @t935 () (@var "By" $$unsorted)) % 14.71/15.03 (define @t936 () (@var "Bx" $$unsorted)) % 14.71/15.03 (define @t937 () (tptp.hAPP @t15 @t36 (tptp.hAPP @t13 @t159 @t158 @t936) @t935)) % 14.71/15.03 (define @t938 () (tptp.hAPP @t15 @t36 (tptp.hAPP @t13 @t159 @t158 @t933) @t932)) % 14.71/15.03 (define @t939 () (tptp.hBOOL (tptp.hAPP @t185 tptp.bool (tptp.hAPP @t184 @t923 @t922 (tptp.hAPP @t36 @t184 @t921 @t938)) @t499))) % 14.71/15.03 (define @t940 () (@list @t288 @t287 @t933 @t932)) % 14.71/15.03 (define @t941 () (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t34 @t290 @t936) @t935))) % 14.71/15.03 (define @t942 () (tptp.hAPP @t36 @t920 @t919 (tptp.hAPP @t15 @t36 (tptp.hAPP @t13 @t159 @t158 @t929) @t928))) % 14.71/15.03 (define @t943 () (tptp.hBOOL (tptp.hAPP @t185 tptp.bool (tptp.hAPP @t184 @t923 @t922 (tptp.hAPP @t36 @t184 @t942 @t937)) @t915))) % 14.71/15.03 (define @t944 () (@list @t13 @t15 @t290 @t929 @t928 @t936 @t935 @t499)) % 14.71/15.03 (define @t945 () (tptp.hAPP tptp.nat @t62 @t135 @t770)) % 14.71/15.03 (define @t946 () (tptp.ti @t13 @t763)) % 14.71/15.03 (define @t947 () (= (tptp.ti @t13 @t765) @t540)) % 14.71/15.03 (define @t948 () (tptp.ord_less_eq @t78)) % 14.71/15.03 (define @t949 () (tptp.hAPP @t78 @t504 @t948 @t710)) % 14.71/15.03 (define @t950 () (tptp.ord_less_eq @t13)) % 14.71/15.03 (define @t951 () (tptp.hAPP @t13 @t42 @t950 @t369)) % 14.71/15.03 (define @t952 () (tptp.preorder @t13)) % 14.71/15.03 (define @t953 () (= @t643 (tptp.ti @t42 @t379))) % 14.71/15.03 (define @t954 () (tptp.ord_less_eq @t42)) % 14.71/15.03 (define @t955 () (tptp.hAPP @t42 @t192 @t954 @t379)) % 14.71/15.03 (define @t956 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t955 @t374))) % 14.71/15.03 (define @t957 () (tptp.hAPP @t42 @t192 @t954 @t374)) % 14.71/15.03 (define @t958 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t957 @t379))) % 14.71/15.03 (define @t959 () (@list @t13 @t374 @t379)) % 14.71/15.03 (define @t960 () (tptp.hAPP @t13 @t192 @t375 @t471)) % 14.71/15.03 (define @t961 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t960 @t379))) % 14.71/15.03 (define @t962 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t960 @t374))) % 14.71/15.03 (define @t963 () (=> @t962 @t961)) % 14.71/15.03 (define @t964 () (@list @t13 @t471 @t374 @t379)) % 14.71/15.03 (define @t965 () (tptp.hAPP @t61 @t61 @t945 @t401)) % 14.71/15.03 (define @t966 () (tptp.hAPP @t61 @t42 @t127 @t965)) % 14.71/15.03 (define @t967 () (@list @t13 @t770 @t401)) % 14.71/15.03 (define @t968 () (@var "S" $$unsorted)) % 14.71/15.03 (define @t969 () (tptp.ord_less_eq @t80)) % 14.71/15.03 (define @t970 () (tptp.hAPP @t80 @t178 @t969 @t499)) % 14.71/15.03 (define @t971 () (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t970 @t968))) % 14.71/15.03 (define @t972 () (@list @t13 @t499 @t968)) % 14.71/15.03 (define @t973 () (tptp.hAPP @t78 @t504 @t948 @t634)) % 14.71/15.03 (define @t974 () (@var "A_4" $$unsorted)) % 14.71/15.03 (define @t975 () (tptp.hAPP @t40 @t389 (tptp.ord_less_eq @t40) @t387)) % 14.71/15.03 (define @t976 () (tptp.hAPP (tptp.fun @t13 @t192) @t180 (tptp.combc @t13 @t42 tptp.bool) @t375)) % 14.71/15.03 (define @t977 () (@list @t13 @t308 @t469)) % 14.71/15.03 (define @t978 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t703 @t245))) % 14.71/15.03 (define @t979 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t42 @t192 @t954 @t290) @t703))) % 14.71/15.03 (define @t980 () (tptp.hAPP @t13 @t42 @t950 @t396)) % 14.71/15.03 (define @t981 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t980 @t369))) % 14.71/15.03 (define @t982 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t951 @t396))) % 14.71/15.03 (define @t983 () (@list @t369 @t396)) % 14.71/15.03 (define @t984 () (tptp.ord_less_eq @t18)) % 14.71/15.03 (define @t985 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool (tptp.hAPP @t18 @t40 @t984 @t380) @t462))) % 14.71/15.03 (define @t986 () (@var "Z_1" $$unsorted)) % 14.71/15.03 (define @t987 () (tptp.hAPP @t13 @t42 @t950 @t986)) % 14.71/15.03 (define @t988 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t987 @t396))) % 14.71/15.03 (define @t989 () (@list @t986 @t396 @t369)) % 14.71/15.03 (define @t990 () (tptp.order @t13)) % 14.71/15.03 (define @t991 () (tptp.ti @t13 @t396)) % 14.71/15.03 (define @t992 () (= @t526 @t991)) % 14.71/15.03 (define @t993 () (@list @t396 @t369)) % 14.71/15.03 (define @t994 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t951 @t986))) % 14.71/15.03 (define @t995 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t980 @t986))) % 14.71/15.03 (define @t996 () (@list @t986 @t369 @t396)) % 14.71/15.03 (define @t997 () (@var "C" $$unsorted)) % 14.71/15.03 (define @t998 () (tptp.hAPP @t13 @t42 @t950 @t997)) % 14.71/15.03 (define @t999 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t998 @t306))) % 14.71/15.03 (define @t1000 () (tptp.ti @t13 @t304)) % 14.71/15.03 (define @t1001 () (= @t1000 (tptp.ti @t13 @t997))) % 14.71/15.03 (define @t1002 () (tptp.hAPP @t13 @t42 @t950 @t304)) % 14.71/15.03 (define @t1003 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1002 @t306))) % 14.71/15.03 (define @t1004 () (@list @t997 @t304 @t306)) % 14.71/15.03 (define @t1005 () (tptp.hAPP @t13 @t42 @t950 @t306)) % 14.71/15.03 (define @t1006 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1005 @t997))) % 14.71/15.03 (define @t1007 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1005 @t304))) % 14.71/15.03 (define @t1008 () (@list @t997 @t306 @t304)) % 14.71/15.03 (define @t1009 () (@var "C_1" $$unsorted)) % 14.71/15.03 (define @t1010 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t957 @t1009))) % 14.71/15.03 (define @t1011 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t955 @t1009))) % 14.71/15.03 (define @t1012 () (@list @t13 @t1009 @t374 @t379)) % 14.71/15.03 (define @t1013 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t376 @t379))) % 14.71/15.03 (define @t1014 () (= @t307 @t1000)) % 14.71/15.03 (define @t1015 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1002 @t997))) % 14.71/15.03 (define @t1016 () (tptp.hAPP @t13 @t42 @t950 @t245)) % 14.71/15.03 (define @t1017 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1016 @t244))) % 14.71/15.03 (define @t1018 () (= @t1017 @t602)) % 14.71/15.03 (define @t1019 () (tptp.hAPP @t13 @t42 @t950 @t244)) % 14.71/15.03 (define @t1020 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1019 @t245))) % 14.71/15.03 (define @t1021 () (@list @t244 @t245)) % 14.71/15.03 (define @t1022 () (= @t369 @t396)) % 14.71/15.03 (define @t1023 () (tptp.hAPP @t15 @t34 @t152 @t449)) % 14.71/15.03 (define @t1024 () (forall @t344 (tptp.hBOOL (tptp.hAPP @t15 tptp.bool @t1023 @t483)))) % 14.71/15.03 (define @t1025 () (@list @t380 @t462)) % 14.71/15.03 (define @t1026 () (tptp.hAPP tptp.nat @t62 @t135 @t771)) % 14.71/15.03 (define @t1027 () (tptp.hAPP tptp.nat @t62 @t135 @t774)) % 14.71/15.03 (define @t1028 () (tptp.hAPP @t61 @t61 @t1027 @t368)) % 14.71/15.03 (define @t1029 () (@list @t306)) % 14.71/15.03 (define @t1030 () (= @t299 @t155)) % 14.71/15.03 (define @t1031 () (tptp.hAPP @t13 @t42 @t950 @t155)) % 14.71/15.03 (define @t1032 () (@list @t261)) % 14.71/15.03 (define @t1033 () (tptp.hAPP @t61 @t61 @t1026 @t368)) % 14.71/15.03 (define @t1034 () (tptp.hAPP @t80 @t80 @t181 @t968)) % 14.71/15.03 (define @t1035 () (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t80 @t178 @t969 @t799) @t1034))) % 14.71/15.03 (define @t1036 () (tptp.hAPP @t80 @t80 @t181 @t308)) % 14.71/15.03 (define @t1037 () (tptp.hAPP @t61 @t62 @t60 @t1033)) % 14.71/15.03 (define @t1038 () (tptp.hAPP @t42 @t192 @t954 @t846)) % 14.71/15.03 (define @t1039 () (tptp.hAPP @t61 @t61 @t438 @t568)) % 14.71/15.03 (define @t1040 () (tptp.hAPP @t61 @t61 @t604 @t573)) % 14.71/15.03 (define @t1041 () (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t821 @t361) @t245)) % 14.71/15.03 (define @t1042 () (forall @t344 (=> @t855 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1016 @t338))))) % 14.71/15.03 (define @t1043 () (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t598))) % 14.71/15.03 (define @t1044 () (@list @t245 @t401)) % 14.71/15.03 (define @t1045 () (tptp.hAPP @t13 @t42 @t950 @t338)) % 14.71/15.03 (define @t1046 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1045 @t335))) % 14.71/15.03 (define @t1047 () (@var "R_3" $$unsorted)) % 14.71/15.03 (define @t1048 () (tptp.hAPP @t42 @t178 @t177 @t531)) % 14.71/15.03 (define @t1049 () (tptp.ord_less_eq tptp.nat)) % 14.71/15.03 (define @t1050 () (tptp.hAPP tptp.nat @t133 @t1049 @t720)) % 14.71/15.03 (define @t1051 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1050 @t771))) % 14.71/15.03 (define @t1052 () (@list @t13 @t368 @t771)) % 14.71/15.03 (define @t1053 () (tptp.hAPP @t61 tptp.nat @t146 @t670)) % 14.71/15.03 (define @t1054 () (tptp.ord_less_eq @t37)) % 14.71/15.03 (define @t1055 () (tptp.fun @t15 @t311)) % 14.71/15.03 (define @t1056 () (tptp.fun @t159 @t1055)) % 14.71/15.03 (define @t1057 () (tptp.fun @t13 @t1055)) % 14.71/15.03 (define @t1058 () (tptp.fun @t37 @t34)) % 14.71/15.03 (define @t1059 () (tptp.fun @t13 @t1058)) % 14.71/15.03 (define @t1060 () (tptp.hAPP @t1059 @t38 (tptp.combc @t13 @t37 @t34) (tptp.hAPP @t1057 @t1059 (tptp.hAPP (tptp.fun @t1055 @t1058) (tptp.fun @t1057 @t1059) (tptp.combb @t1055 @t1058 @t13) (tptp.combc @t15 @t37 tptp.bool)) (tptp.hAPP @t160 @t1057 (tptp.hAPP @t1056 (tptp.fun @t160 @t1057) (tptp.combb @t159 @t1055 @t13) (tptp.hAPP (tptp.fun @t36 @t311) @t1056 (tptp.combb @t36 @t311 @t15) @t310)) @t158)))) % 14.71/15.03 (define @t1061 () (tptp.ord_less_eq @t35)) % 14.71/15.03 (define @t1062 () (tptp.fun @t35 tptp.bool)) % 14.71/15.03 (define @t1063 () (@var "M_2" $$unsorted)) % 14.71/15.03 (define @t1064 () (tptp.hAPP tptp.nat @t133 @t1049 @t1063)) % 14.71/15.03 (define @t1065 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1064 @t770))) % 14.71/15.03 (define @t1066 () (tptp.hAPP tptp.nat @t133 @t1049 @t770)) % 14.71/15.03 (define @t1067 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1066 @t1063))) % 14.71/15.03 (define @t1068 () (@var "Ys_2_1" $$unsorted)) % 14.71/15.03 (define @t1069 () (@var "Xs_2_1" $$unsorted)) % 14.71/15.03 (define @t1070 () (@var "Xs_1_1" $$unsorted)) % 14.71/15.03 (define @t1071 () (@var "Ys_1_1" $$unsorted)) % 14.71/15.03 (define @t1072 () (tptp.hAPP @t61 tptp.nat @t146 @t1071)) % 14.71/15.03 (define @t1073 () (tptp.hAPP @t61 tptp.nat @t146 @t1070)) % 14.71/15.03 (define @t1074 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t1073) @t1072))) % 14.71/15.03 (define @t1075 () (tptp.product_prod_case @t13 @t13 tptp.bool)) % 14.71/15.03 (define @t1076 () (tptp.hBOOL (tptp.hAPP @t56 tptp.bool @t157 @t499))) % 14.71/15.03 (define @t1077 () (tptp.hAPP @t13 @t192 @t375 @t261)) % 14.71/15.03 (define @t1078 () (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t42 @t178 @t177 @t374) @t499))) % 14.71/15.03 (define @t1079 () (@list @t13 @t245 @t244 @t374 @t499)) % 14.71/15.03 (define @t1080 () (tptp.hAPP @t61 @t61 @t1026 @t730)) % 14.71/15.03 (define @t1081 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t771)) % 14.71/15.03 (define @t1082 () (tptp.hAPP tptp.nat @t62 @t135 @t1081)) % 14.71/15.03 (define @t1083 () (tptp.hAPP @t61 @t61 @t1082 @t368)) % 14.71/15.03 (define @t1084 () (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t34 @t703 @t245) @t244))) % 14.71/15.03 (define @t1085 () (tptp.hBOOL (tptp.hAPP @t35 tptp.bool (tptp.hAPP @t35 @t1062 @t1061 @t290) @t703))) % 14.71/15.03 (define @t1086 () (tptp.hAPP @t13 @t34 @t290 @t245)) % 14.71/15.03 (define @t1087 () (tptp.hBOOL (tptp.hAPP @t15 tptp.bool @t1086 @t244))) % 14.71/15.03 (define @t1088 () (tptp.hAPP tptp.nat @t62 @t67 @t1081)) % 14.71/15.03 (define @t1089 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t774)) % 14.71/15.03 (define @t1090 () (tptp.hAPP @t61 @t107 @t105 @t371)) % 14.71/15.03 (define @t1091 () (exists @t403 (and @t402 (= (tptp.hAPP @t61 tptp.nat @t146 @t397) @t770)))) % 14.71/15.03 (define @t1092 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t770)) % 14.71/15.03 (define @t1093 () (tptp.hAPP @t61 @t13 @t71 @t818)) % 14.71/15.03 (define @t1094 () (tptp.ord_less tptp.nat)) % 14.71/15.03 (define @t1095 () (tptp.hAPP tptp.nat @t133 @t1094 @t771)) % 14.71/15.03 (define @t1096 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1095 @t720))) % 14.71/15.03 (define @t1097 () (tptp.hAPP tptp.nat @t133 @t1049 @t369)) % 14.71/15.03 (define @t1098 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1097 @t396))) % 14.71/15.03 (define @t1099 () (tptp.hAPP tptp.nat @t133 @t1094 @t369)) % 14.71/15.03 (define @t1100 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1099 @t396))) % 14.71/15.03 (define @t1101 () (tptp.hAPP @t13 @t42 @t151 @t245)) % 14.71/15.03 (define @t1102 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1101 @t244))) % 14.71/15.03 (define @t1103 () (not @t1102)) % 14.71/15.03 (define @t1104 () (tptp.hAPP @t13 @t42 @t151 @t244)) % 14.71/15.03 (define @t1105 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1104 @t245))) % 14.71/15.03 (define @t1106 () (tptp.hAPP @t13 @t42 @t151 @t396)) % 14.71/15.03 (define @t1107 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1106 @t369))) % 14.71/15.03 (define @t1108 () (not @t602)) % 14.71/15.03 (define @t1109 () (tptp.hAPP @t13 @t42 @t151 @t369)) % 14.71/15.03 (define @t1110 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1109 @t396))) % 14.71/15.03 (define @t1111 () (not @t1110)) % 14.71/15.03 (define @t1112 () (tptp.hAPP @t13 @t42 @t151 @t306)) % 14.71/15.03 (define @t1113 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1112 @t304))) % 14.71/15.03 (define @t1114 () (not @t1014)) % 14.71/15.03 (define @t1115 () (tptp.hAPP @t13 @t42 @t151 @t304)) % 14.71/15.03 (define @t1116 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1115 @t306))) % 14.71/15.03 (define @t1117 () (= @t1103 @t602)) % 14.71/15.03 (define @t1118 () (@list @t304 @t306)) % 14.71/15.03 (define @t1119 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1109 @t986))) % 14.71/15.03 (define @t1120 () (tptp.hAPP @t13 @t42 @t151 @t986)) % 14.71/15.03 (define @t1121 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1120 @t369))) % 14.71/15.03 (define @t1122 () (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1106 @t986)) @t1119)) % 14.71/15.03 (define @t1123 () (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1120 @t396)) @t1121)) % 14.71/15.03 (define @t1124 () (not @t992)) % 14.71/15.03 (define @t1125 () (forall @t983 (=> @t1124 (=> @t1111 @t1107)))) % 14.71/15.03 (define @t1126 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1112 @t997))) % 14.71/15.03 (define @t1127 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1115 @t997))) % 14.71/15.03 (define @t1128 () (tptp.hAPP @t13 @t42 @t151 @t997)) % 14.71/15.03 (define @t1129 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1128 @t306))) % 14.71/15.03 (define @t1130 () (tptp.hAPP @t13 @t42 @t151 @t261)) % 14.71/15.03 (define @t1131 () (tptp.hAPP tptp.nat @t133 @t1094 @t770)) % 14.71/15.03 (define @t1132 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1131 @t706))) % 14.71/15.03 (define @t1133 () (tptp.hAPP @t61 @t107 @t105 @t570)) % 14.71/15.03 (define @t1134 () (tptp.hAPP tptp.nat @t133 @t1094 @t774)) % 14.71/15.03 (define @t1135 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1134 @t720))) % 14.71/15.03 (define @t1136 () (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t67 @t1089) @t368)) % 14.71/15.03 (define @t1137 () (tptp.hAPP @t13 @t62 @t88 @t306)) % 14.71/15.03 (define @t1138 () (tptp.hAPP @t61 @t62 @t60 @t1028)) % 14.71/15.03 (define @t1139 () (= (tptp.hAPP @t13 @t61 @t806 @t306) (tptp.hAPP @t61 @t61 @t1138 (tptp.hAPP @t61 @t61 @t1137 @t1136)))) % 14.71/15.03 (define @t1140 () (forall (@list @t13 @t306 @t774 @t368) (=> @t1135 @t1139))) % 14.71/15.03 (define @t1141 () (@list @t771)) % 14.71/15.03 (define @t1142 () (@var "M" $$unsorted)) % 14.71/15.03 (define @t1143 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1142)) % 14.71/15.03 (define @t1144 () (tptp.hAPP tptp.nat @t133 @t1094 @t1143)) % 14.71/15.03 (define @t1145 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1144 @t1081))) % 14.71/15.03 (define @t1146 () (tptp.hAPP tptp.nat @t133 @t1094 @t1142)) % 14.71/15.03 (define @t1147 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1146 @t771))) % 14.71/15.03 (define @t1148 () (@list @t1142 @t771)) % 14.71/15.03 (define @t1149 () (tptp.fun @t61 @t504)) % 14.71/15.03 (define @t1150 () (tptp.fun @t123 @t1149)) % 14.71/15.03 (define @t1151 () (tptp.fun @t61 @t1149)) % 14.71/15.03 (define @t1152 () (tptp.fun @t78 @t66)) % 14.71/15.03 (define @t1153 () (tptp.fun @t61 @t1152)) % 14.71/15.03 (define @t1154 () (tptp.combb tptp.nat @t133 @t61)) % 14.71/15.03 (define @t1155 () (tptp.fun @t61 @t133)) % 14.71/15.03 (define @t1156 () (tptp.fun @t100 @t1155)) % 14.71/15.03 (define @t1157 () (tptp.fun tptp.nat @t133)) % 14.71/15.03 (define @t1158 () (tptp.fun @t100 @t66)) % 14.71/15.03 (define @t1159 () (tptp.fun @t61 @t1158)) % 14.71/15.03 (define @t1160 () (tptp.hAPP (tptp.fun @t133 @t1158) (tptp.fun @t1155 @t1159) (tptp.combb @t133 @t1158 @t61) (tptp.combb tptp.nat tptp.bool @t61))) % 14.71/15.03 (define @t1161 () (tptp.combc @t61 @t100 @t66)) % 14.71/15.03 (define @t1162 () (tptp.fun @t100 @t111)) % 14.71/15.03 (define @t1163 () (tptp.combb tptp.bool @t193 @t61)) % 14.71/15.03 (define @t1164 () (tptp.fun @t61 @t193)) % 14.71/15.03 (define @t1165 () (tptp.fun @t66 @t1164)) % 14.71/15.03 (define @t1166 () (tptp.hAPP @t194 @t1165 @t1163 tptp.fconj)) % 14.71/15.03 (define @t1167 () (tptp.combb @t66 @t1164 @t61)) % 14.71/15.03 (define @t1168 () (tptp.fun @t61 @t1164)) % 14.71/15.03 (define @t1169 () (tptp.fun @t111 @t1168)) % 14.71/15.03 (define @t1170 () (tptp.combs @t61 tptp.bool tptp.bool)) % 14.71/15.03 (define @t1171 () (tptp.fun @t61 @t130)) % 14.71/15.03 (define @t1172 () (tptp.fun @t1164 @t130)) % 14.71/15.03 (define @t1173 () (tptp.hAPP @t1172 (tptp.fun @t1168 @t1171) (tptp.combb @t1164 @t130 @t61) @t1170)) % 14.71/15.03 (define @t1174 () (tptp.combs @t61 @t66 @t66)) % 14.71/15.03 (define @t1175 () (tptp.fun @t111 @t111)) % 14.71/15.03 (define @t1176 () (tptp.ord_less @t42)) % 14.71/15.03 (define @t1177 () (tptp.hAPP @t42 @t192 @t1176 @t374)) % 14.71/15.03 (define @t1178 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t1177 @t379))) % 14.71/15.03 (define @t1179 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t1177 @t1009))) % 14.71/15.03 (define @t1180 () (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t42 @t192 @t1176 @t379) @t1009)) @t1179)) % 14.71/15.03 (define @t1181 () (@var "Nat_5" $$unsorted)) % 14.71/15.03 (define @t1182 () (@var "Nat_4" $$unsorted)) % 14.71/15.03 (define @t1183 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1182)) % 14.71/15.03 (define @t1184 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1131 @t1063))) % 14.71/15.03 (define @t1185 () (tptp.hAPP tptp.nat @t133 @t1094 @t1063)) % 14.71/15.03 (define @t1186 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1185 @t770))) % 14.71/15.03 (define @t1187 () (= @t1063 @t770)) % 14.71/15.03 (define @t1188 () (not @t1187)) % 14.71/15.03 (define @t1189 () (@list @t1063 @t770)) % 14.71/15.03 (define @t1190 () (= @t1142 @t771)) % 14.71/15.03 (define @t1191 () (not @t1190)) % 14.71/15.03 (define @t1192 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1095 @t1142))) % 14.71/15.03 (define @t1193 () (@list @t771 @t1142)) % 14.71/15.03 (define @t1194 () (@var "T_3" $$unsorted)) % 14.71/15.03 (define @t1195 () (@var "S_1" $$unsorted)) % 14.71/15.03 (define @t1196 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t290 @t770) @t1063))) % 14.71/15.03 (define @t1197 () (tptp.hAPP tptp.nat @t133 @t1049 @t771)) % 14.71/15.03 (define @t1198 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1197 @t1142))) % 14.71/15.03 (define @t1199 () (tptp.hAPP tptp.nat @t133 @t1049 @t1142)) % 14.71/15.03 (define @t1200 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1199 @t771))) % 14.71/15.03 (define @t1201 () (tptp.hAPP tptp.nat @t133 @t1049 @t774)) % 14.71/15.03 (define @t1202 () (@var "J" $$unsorted)) % 14.71/15.03 (define @t1203 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1201 @t1202))) % 14.71/15.03 (define @t1204 () (@list @t778 @t774 @t1202)) % 14.71/15.03 (define @t1205 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1144 @t771))) % 14.71/15.03 (define @t1206 () (not @t1147)) % 14.71/15.03 (define @t1207 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1146 @t1081))) % 14.71/15.03 (define @t1208 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 @t1089) @t778))) % 14.71/15.03 (define @t1209 () (tptp.hAPP tptp.nat @t133 @t1094 @t1202)) % 14.71/15.03 (define @t1210 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1209 @t778))) % 14.71/15.03 (define @t1211 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1134 @t1202))) % 14.71/15.03 (define @t1212 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1063)) % 14.71/15.03 (define @t1213 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1131 @t1212))) % 14.71/15.03 (define @t1214 () (= @t1213 (= @t770 @t1063))) % 14.71/15.03 (define @t1215 () (@list @t770 @t1063)) % 14.71/15.03 (define @t1216 () (or @t1186 @t1187)) % 14.71/15.03 (define @t1217 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1185 @t1092))) % 14.71/15.03 (define @t1218 () (tptp.hAPP tptp.nat @t133 @t1049 @t1081)) % 14.71/15.03 (define @t1219 () (tptp.hAPP tptp.nat @t133 @t1049 @t1092)) % 14.71/15.03 (define @t1220 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1219 @t1063))) % 14.71/15.03 (define @t1221 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1199 @t1081))) % 14.71/15.03 (define @t1222 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t1143) @t771))) % 14.71/15.03 (define @t1223 () (tptp.hAPP @t119 @t119 (tptp.hAPP @t13 @t144 @t143 @t349) @t416)) % 14.71/15.03 (define @t1224 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t1212) @t770))) % 14.71/15.03 (define @t1225 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t290 @t220))) % 14.71/15.03 (define @t1226 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t220)) % 14.71/15.03 (define @t1227 () (@var "J_2" $$unsorted)) % 14.71/15.03 (define @t1228 () (tptp.hAPP tptp.nat @t133 @t1094 @t220)) % 14.71/15.03 (define @t1229 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1228 @t1227))) % 14.71/15.03 (define @t1230 () (tptp.hAPP tptp.nat @t133 @t1049 @t361)) % 14.71/15.03 (define @t1231 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1230 @t1227))) % 14.71/15.03 (define @t1232 () (@var "N_3" $$unsorted)) % 14.71/15.03 (define @t1233 () (tptp.hAPP tptp.nat @t13 @t380 @t1232)) % 14.71/15.03 (define @t1234 () (tptp.hAPP tptp.nat @t13 @t380 @t770)) % 14.71/15.03 (define @t1235 () (@var "N_1" $$unsorted)) % 14.71/15.03 (define @t1236 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1235)) % 14.71/15.03 (define @t1237 () (tptp.hAPP tptp.nat @t13 @t380 @t1236)) % 14.71/15.03 (define @t1238 () (tptp.hAPP tptp.nat @t13 @t380 @t1235)) % 14.71/15.03 (define @t1239 () (@list @t1235)) % 14.71/15.03 (define @t1240 () (@list @t770 @t1232 @t380)) % 14.71/15.03 (define @t1241 () (tptp.hAPP @t13 @t42 @t151 @t1234)) % 14.71/15.03 (define @t1242 () (forall @t1239 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t1238) @t1237)))) % 14.71/15.03 (define @t1243 () (tptp.fun @t133 @t133)) % 14.71/15.03 (define @t1244 () (tptp.hAPP @t36 @t311 @t310 @t466)) % 14.71/15.03 (define @t1245 () (@var "J_1" $$unsorted)) % 14.71/15.03 (define @t1246 () (tptp.hAPP tptp.nat tptp.nat @t380 @t220)) % 14.71/15.03 (define @t1247 () (@list @t220 @t1245)) % 14.71/15.03 (define @t1248 () (@var "M_1" $$unsorted)) % 14.71/15.03 (define @t1249 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1248)) % 14.71/15.03 (define @t1250 () (@var "M_3" $$unsorted)) % 14.71/15.03 (define @t1251 () (@list @t1248)) % 14.71/15.03 (define @t1252 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1245)) % 14.71/15.03 (define @t1253 () (@list @t1245)) % 14.71/15.03 (define @t1254 () (not (forall @t1253 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1134 @t1245)) (not (= @t778 @t1252)))))) % 14.71/15.03 (define @t1255 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1134 @t778))) % 14.71/15.03 (define @t1256 () (@list @t774 @t778)) % 14.71/15.03 (define @t1257 () (tptp.hAPP @t13 @t42 @t151 @t338)) % 14.71/15.03 (define @t1258 () (tptp.dense_linorder @t13)) % 14.71/15.03 (define @t1259 () (tptp.hAPP @t15 @t13 @t380 @t471)) % 14.71/15.03 (define @t1260 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t1259) @t261))) % 14.71/15.03 (define @t1261 () (tptp.hAPP @t15 @t13 @t380 @t338)) % 14.71/15.03 (define @t1262 () (tptp.hAPP @t15 @t13 @t380 @t398)) % 14.71/15.03 (define @t1263 () (tptp.ord_less @t15)) % 14.71/15.03 (define @t1264 () (tptp.hAPP @t15 @t34 @t1263 @t471)) % 14.71/15.03 (define @t1265 () (tptp.hAPP @t15 @t13 @t380 @t265)) % 14.71/15.03 (define @t1266 () (@list @t471 @t380 @t265 @t261)) % 14.71/15.03 (define @t1267 () (tptp.hAPP @t15 @t34 @t152 @t471)) % 14.71/15.03 (define @t1268 () (tptp.order @t15)) % 14.71/15.03 (define @t1269 () (and @t990 @t1268)) % 14.71/15.03 (define @t1270 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1130 @t1259))) % 14.71/15.03 (define @t1271 () (tptp.hAPP @t13 @t42 @t950 @t261)) % 14.71/15.03 (define @t1272 () (@list @t471 @t261 @t380 @t265)) % 14.71/15.03 (define @t1273 () (and @t1268 @t990)) % 14.71/15.03 (define @t1274 () (tptp.hAPP @t13 @t15 @t380 @t261)) % 14.71/15.03 (define @t1275 () (tptp.hBOOL (tptp.hAPP @t15 tptp.bool @t1264 @t1274))) % 14.71/15.03 (define @t1276 () (tptp.hAPP @t13 @t15 @t380 @t398)) % 14.71/15.03 (define @t1277 () (tptp.hAPP @t13 @t15 @t380 @t265)) % 14.71/15.03 (define @t1278 () (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t34 @t1263 @t1274) @t471))) % 14.71/15.03 (define @t1279 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1130 @t265))) % 14.71/15.03 (define @t1280 () (@list @t380 @t471 @t261 @t265)) % 14.71/15.03 (define @t1281 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1271 @t265))) % 14.71/15.03 (define @t1282 () (tptp.hAPP @t61 @t119 @t118 @t368)) % 14.71/15.03 (define @t1283 () (tptp.hAPP tptp.nat @t13 @t1282 @t774)) % 14.71/15.03 (define @t1284 () (tptp.hAPP @t13 @t62 @t88 @t1283)) % 14.71/15.03 (define @t1285 () (tptp.hAPP @t61 @t61 @t1284 @t1136)) % 14.71/15.03 (define @t1286 () (tptp.hAPP tptp.nat @t13 @t1282 @t1202)) % 14.71/15.03 (define @t1287 () (tptp.hAPP @t61 @t119 @t118 @t807)) % 14.71/15.03 (define @t1288 () (tptp.hAPP tptp.nat @t13 @t1287 @t1202)) % 14.71/15.03 (define @t1289 () (= @t774 @t1202)) % 14.71/15.03 (define @t1290 () (=> (not @t1289) (= @t1288 @t1286))) % 14.71/15.03 (define @t1291 () (tptp.hAPP tptp.nat @t13 @t1282 @t771)) % 14.71/15.03 (define @t1292 () (tptp.hAPP @t61 @t119 @t118 @t371)) % 14.71/15.03 (define @t1293 () (@list @t13 @t369 @t368 @t771)) % 14.71/15.03 (define @t1294 () (tptp.hAPP @t61 @t119 @t118 @t574)) % 14.71/15.03 (define @t1295 () (tptp.hAPP @t61 @t119 @t118 @t401)) % 14.71/15.03 (define @t1296 () (tptp.hAPP tptp.nat @t13 @t1295 @t220)) % 14.71/15.03 (define @t1297 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1228 @t706))) % 14.71/15.03 (define @t1298 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1134 @t771))) % 14.71/15.03 (define @t1299 () (tptp.hAPP tptp.nat @t13 @t1295 @t770)) % 14.71/15.03 (define @t1300 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t290 @t1296))) % 14.71/15.03 (define @t1301 () (=> @t1297 @t1300)) % 14.71/15.03 (define @t1302 () (forall @t229 @t1301)) % 14.71/15.03 (define @t1303 () (tptp.hAPP tptp.nat @t13 @t1295 @t1227)) % 14.71/15.03 (define @t1304 () (tptp.hAPP tptp.nat @t13 @t1295 @t361)) % 14.71/15.03 (define @t1305 () (tptp.hAPP tptp.nat @t133 @t1094 @t1227)) % 14.71/15.03 (define @t1306 () (tptp.hAPP tptp.nat @t133 @t1094 @t361)) % 14.71/15.03 (define @t1307 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1306 @t706))) % 14.71/15.03 (define @t1308 () (tptp.hAPP tptp.nat @t13 @t1295 @t1245)) % 14.71/15.03 (define @t1309 () (tptp.hAPP tptp.nat @t133 @t1094 @t1245)) % 14.71/15.03 (define @t1310 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1309 @t706))) % 14.71/15.03 (define @t1311 () (@list @t13 @t1227 @t290 @t401)) % 14.71/15.03 (define @t1312 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1209 @t720))) % 14.71/15.03 (define @t1313 () (@list @t774 @t1202 @t368)) % 14.71/15.03 (define @t1314 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t220) @t1245))) % 14.71/15.03 (define @t1315 () (tptp.hAPP @t13 @t510 @t509 (tptp.hAPP tptp.nat @t13 @t1295 @t1235))) % 14.71/15.03 (define @t1316 () (tptp.hAPP tptp.nat @t133 @t1094 @t1235)) % 14.71/15.03 (define @t1317 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1316 @t706))) % 14.71/15.03 (define @t1318 () (tptp.hAPP tptp.nat @t13 @t1282 @t220)) % 14.71/15.03 (define @t1319 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t290 @t1299))) % 14.71/15.03 (define @t1320 () (tptp.hAPP tptp.nat @t133 @t1049 @t1227)) % 14.71/15.03 (define @t1321 () (tptp.hAPP tptp.nat @t62 @t135 @t778)) % 14.71/15.03 (define @t1322 () (tptp.hAPP @t61 @t119 @t118 @t435)) % 14.71/15.03 (define @t1323 () (= @t1318 (tptp.hAPP tptp.nat @t13 @t1322 @t220))) % 14.71/15.03 (define @t1324 () (tptp.hAPP tptp.nat @t133 @t1049 @t778)) % 14.71/15.03 (define @t1325 () (tptp.hAPP tptp.nat @t42 @t290 @t220)) % 14.71/15.03 (define @t1326 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1228 @t820))) % 14.71/15.03 (define @t1327 () (tptp.hAPP tptp.nat @t62 @t135 @t220)) % 14.71/15.03 (define @t1328 () (tptp.ord_min tptp.nat)) % 14.71/15.03 (define @t1329 () (tptp.plus_plus tptp.nat)) % 14.71/15.03 (define @t1330 () (tptp.hAPP @t13 @t42 @t151 @t249)) % 14.71/15.03 (define @t1331 () (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t154 @t245) @t244)) % 14.71/15.03 (define @t1332 () (@list @t245 @t244 @t249)) % 14.71/15.03 (define @t1333 () (tptp.hAPP tptp.nat @t142 @t1329 @t396)) % 14.71/15.03 (define @t1334 () (tptp.hAPP tptp.nat tptp.nat @t1333 @t986)) % 14.71/15.03 (define @t1335 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1099 @t1334))) % 14.71/15.03 (define @t1336 () (@list @t396 @t369 @t986)) % 14.71/15.03 (define @t1337 () (tptp.hAPP tptp.nat @t142 @t1329 @t774)) % 14.71/15.03 (define @t1338 () (tptp.hAPP tptp.nat tptp.nat @t1337 @t1202)) % 14.71/15.03 (define @t1339 () (tptp.hAPP tptp.nat @t133 @t1094 @t1338)) % 14.71/15.03 (define @t1340 () (@list @t774 @t1202 @t778)) % 14.71/15.03 (define @t1341 () (tptp.hAPP tptp.nat @t142 @t1329 @t778)) % 14.71/15.03 (define @t1342 () (tptp.hAPP tptp.nat tptp.nat @t1341 @t771)) % 14.71/15.03 (define @t1343 () (@var "L" $$unsorted)) % 14.71/15.03 (define @t1344 () (tptp.hAPP tptp.nat @t142 @t1329 @t1142)) % 14.71/15.03 (define @t1345 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 @t778) @t1343))) % 14.71/15.03 (define @t1346 () (tptp.hAPP tptp.nat @t142 @t1329 @t1202)) % 14.71/15.03 (define @t1347 () (tptp.hAPP tptp.nat tptp.nat @t1346 @t1343)) % 14.71/15.03 (define @t1348 () (tptp.hAPP tptp.nat tptp.nat @t1337 @t778)) % 14.71/15.03 (define @t1349 () (tptp.hAPP tptp.nat @t133 @t1094 @t1348)) % 14.71/15.03 (define @t1350 () (@list @t778 @t1343 @t774 @t1202)) % 14.71/15.03 (define @t1351 () (tptp.hAPP tptp.nat tptp.nat @t1346 @t778)) % 14.71/15.03 (define @t1352 () (tptp.hAPP tptp.nat tptp.nat @t1344 @t1202)) % 14.71/15.03 (define @t1353 () (@list @t1142 @t774 @t1202)) % 14.71/15.03 (define @t1354 () (tptp.hAPP tptp.nat tptp.nat @t1346 @t1142)) % 14.71/15.03 (define @t1355 () (tptp.hAPP tptp.nat @t142 @t1329 @t820)) % 14.71/15.03 (define @t1356 () (tptp.hAPP tptp.nat tptp.nat @t1355 @t770)) % 14.71/15.03 (define @t1357 () (tptp.hAPP tptp.nat tptp.nat @t1355 @t1063)) % 14.71/15.03 (define @t1358 () (@list @t820 @t1063 @t770)) % 14.71/15.03 (define @t1359 () (tptp.hAPP tptp.nat tptp.nat @t1346 @t774)) % 14.71/15.03 (define @t1360 () (@list @t774 @t1202)) % 14.71/15.03 (define @t1361 () (tptp.hAPP tptp.nat @t142 @t1329 @t771)) % 14.71/15.03 (define @t1362 () (tptp.hAPP tptp.nat tptp.nat @t1361 @t1142)) % 14.71/15.03 (define @t1363 () (tptp.hAPP tptp.nat @t62 @t67 @t1142)) % 14.71/15.03 (define @t1364 () (tptp.hAPP @t61 @t61 @t1363 @t368)) % 14.71/15.03 (define @t1365 () (@list @t13 @t771 @t1142 @t368)) % 14.71/15.03 (define @t1366 () (tptp.hAPP tptp.nat @t142 @t1328 @t771)) % 14.71/15.03 (define @t1367 () (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t1142) @t368)) % 14.71/15.03 (define @t1368 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1016 @t249))) % 14.71/15.03 (define @t1369 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1097 @t1334))) % 14.71/15.03 (define @t1370 () (tptp.hAPP tptp.nat tptp.nat @t1344 @t771)) % 14.71/15.03 (define @t1371 () (@var "K_2" $$unsorted)) % 14.71/15.03 (define @t1372 () (tptp.hAPP tptp.nat @t142 @t1329 @t1063)) % 14.71/15.03 (define @t1373 () (tptp.hAPP tptp.nat tptp.nat @t1372 @t1371)) % 14.71/15.03 (define @t1374 () (@list @t1371)) % 14.71/15.03 (define @t1375 () (tptp.hAPP tptp.nat @t133 @t1049 @t1348)) % 14.71/15.03 (define @t1376 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1324 @t771))) % 14.71/15.03 (define @t1377 () (tptp.hAPP tptp.nat tptp.nat @t1344 @t778)) % 14.71/15.03 (define @t1378 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t1377) @t771))) % 14.71/15.03 (define @t1379 () (@list @t1142 @t778 @t771)) % 14.71/15.03 (define @t1380 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1370)) % 14.71/15.03 (define @t1381 () (tptp.hAPP tptp.nat tptp.nat @t1344 @t1081)) % 14.71/15.03 (define @t1382 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1329 @t1143) @t771)) % 14.71/15.03 (define @t1383 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1328 @t1142) @t771)) % 14.71/15.03 (define @t1384 () (tptp.hAPP tptp.nat tptp.nat @t1372 @t820)) % 14.71/15.03 (define @t1385 () (tptp.hAPP tptp.nat tptp.nat @t1361 @t778)) % 14.71/15.03 (define @t1386 () (@list @t1142 @t771 @t778)) % 14.71/15.03 (define @t1387 () (tptp.hAPP tptp.nat @t142 @t1329 @t369)) % 14.71/15.03 (define @t1388 () (@list @t369 @t396 @t986)) % 14.71/15.03 (define @t1389 () (tptp.hAPP tptp.nat @t142 @t1328 @t720)) % 14.71/15.03 (define @t1390 () (@list @t774 @t1142)) % 14.71/15.03 (define @t1391 () (tptp.hAPP tptp.nat @t142 @t1329 @t720)) % 14.71/15.03 (define @t1392 () (tptp.hAPP tptp.nat tptp.nat @t1391 @t719)) % 14.71/15.03 (define @t1393 () (tptp.hAPP tptp.nat @t142 @t1328 @t774)) % 14.71/15.03 (define @t1394 () (@list @t13 @t774 @t778 @t369)) % 14.71/15.03 (define @t1395 () (tptp.hAPP @t61 @t119 @t118 @t570)) % 14.71/15.03 (define @t1396 () (tptp.hAPP tptp.nat tptp.nat @t1361 @t774)) % 14.71/15.03 (define @t1397 () (@var "D_1" $$unsorted)) % 14.71/15.03 (define @t1398 () (tptp.hAPP @t13 @t27 @t48 @t304)) % 14.71/15.03 (define @t1399 () (tptp.hAPP @t13 @t13 @t1398 @t1397)) % 14.71/15.03 (define @t1400 () (tptp.hAPP @t13 @t27 @t48 @t306)) % 14.71/15.03 (define @t1401 () (tptp.hAPP @t13 @t13 @t1400 @t997)) % 14.71/15.03 (define @t1402 () (tptp.hAPP @t13 @t42 @t151 @t1401)) % 14.71/15.03 (define @t1403 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1402 @t1399))) % 14.71/15.03 (define @t1404 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t998 @t1397))) % 14.71/15.03 (define @t1405 () (@list @t997 @t1397 @t306 @t304)) % 14.71/15.03 (define @t1406 () (tptp.ordere223160158up_add @t13)) % 14.71/15.03 (define @t1407 () (tptp.hAPP @t13 @t27 @t48 @t997)) % 14.71/15.03 (define @t1408 () (tptp.hAPP @t13 @t13 @t1407 @t306)) % 14.71/15.03 (define @t1409 () (@list @t304 @t306 @t997)) % 14.71/15.03 (define @t1410 () (tptp.hAPP @t13 @t13 @t1400 @t304)) % 14.71/15.03 (define @t1411 () (@list @t306 @t304 @t997)) % 14.71/15.03 (define @t1412 () (forall @t1411 (=> (= @t1410 @t1401) @t1001))) % 14.71/15.03 (define @t1413 () (tptp.ti @t13 @t471)) % 14.71/15.03 (define @t1414 () (= @t507 @t1413)) % 14.71/15.03 (define @t1415 () (tptp.hAPP @t13 @t27 @t48 @t471)) % 14.71/15.03 (define @t1416 () (tptp.hAPP @t13 @t13 @t1415 @t261)) % 14.71/15.03 (define @t1417 () (tptp.hAPP @t13 @t27 @t48 @t265)) % 14.71/15.03 (define @t1418 () (tptp.hAPP @t13 @t13 @t1417 @t261)) % 14.71/15.03 (define @t1419 () (tptp.hAPP @t13 @t27 @t48 @t261)) % 14.71/15.03 (define @t1420 () (tptp.hAPP @t13 @t13 @t1419 @t471)) % 14.71/15.03 (define @t1421 () (tptp.hAPP @t13 @t13 @t1398 @t997)) % 14.71/15.03 (define @t1422 () (tptp.hAPP @t13 @t27 @t48 @t1410)) % 14.71/15.03 (define @t1423 () (tptp.hAPP @t13 @t13 @t1422 @t997)) % 14.71/15.03 (define @t1424 () (forall @t1411 (= @t1423 (tptp.hAPP @t13 @t13 @t1400 @t1421)))) % 14.71/15.03 (define @t1425 () (tptp.hAPP @t13 @t13 @t1417 @t471)) % 14.71/15.03 (define @t1426 () (@list @t261 @t471 @t265)) % 14.71/15.03 (define @t1427 () (tptp.ordere236663937imp_le @t13)) % 14.71/15.03 (define @t1428 () (tptp.hAPP @t13 @t13 @t1415 @t265)) % 14.71/15.03 (define @t1429 () (@list @t471 @t261 @t265)) % 14.71/15.03 (define @t1430 () (tptp.hAPP @t13 @t42 @t950 @t1401)) % 14.71/15.03 (define @t1431 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1430 @t1421))) % 14.71/15.03 (define @t1432 () (tptp.ordere779506340up_add @t13)) % 14.71/15.03 (define @t1433 () (tptp.hAPP @t13 @t13 @t1407 @t304)) % 14.71/15.03 (define @t1434 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t1408) @t1433))) % 14.71/15.03 (define @t1435 () (@list @t306 @t997 @t304)) % 14.71/15.03 (define @t1436 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1402 @t1421))) % 14.71/15.03 (define @t1437 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t1408) @t1433))) % 14.71/15.03 (define @t1438 () (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1128 @t1397)) @t1403)) % 14.71/15.03 (define @t1439 () (tptp.hAPP @t13 @t27 @t48 @t396)) % 14.71/15.03 (define @t1440 () (tptp.hAPP @t13 @t27 @t154 @t369)) % 14.71/15.03 (define @t1441 () (tptp.hAPP @t13 @t13 @t1440 @t396)) % 14.71/15.03 (define @t1442 () (@var "Least" $$unsorted)) % 14.71/15.03 (define @t1443 () (tptp.ti @t13 @t1442)) % 14.71/15.03 (define @t1444 () (forall @t344 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t1442) @t338)))) % 14.71/15.03 (define @t1445 () (@list @t369 @t1442)) % 14.71/15.03 (define @t1446 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1329 @t361) @t820)) % 14.71/15.03 (define @t1447 () (tptp.hAPP @t13 @t27 @t154 @t306)) % 14.71/15.03 (define @t1448 () (tptp.hAPP @t13 @t13 @t1447 @t304)) % 14.71/15.03 (define @t1449 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t1448) @t369))) % 14.71/15.03 (define @t1450 () (@list @t306 @t304 @t369)) % 14.71/15.03 (define @t1451 () (@list @t304 @t306 @t369)) % 14.71/15.03 (define @t1452 () (tptp.hAPP @t13 @t27 @t154 @t396)) % 14.71/15.03 (define @t1453 () (tptp.hAPP @t13 @t13 @t1452 @t986)) % 14.71/15.03 (define @t1454 () (tptp.hAPP @t13 @t13 @t1440 @t1453)) % 14.71/15.03 (define @t1455 () (tptp.hAPP @t13 @t27 @t154 @t304)) % 14.71/15.03 (define @t1456 () (tptp.hAPP @t13 @t13 @t1447 (tptp.hAPP @t13 @t13 @t1455 @t997))) % 14.71/15.03 (define @t1457 () (tptp.hAPP @t13 @t42 @t950 @t1441)) % 14.71/15.03 (define @t1458 () (tptp.hAPP @t13 @t42 @t950 @t1448)) % 14.71/15.03 (define @t1459 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1458 @t369))) % 14.71/15.03 (define @t1460 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t951 @t1448))) % 14.71/15.03 (define @t1461 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t951 @t304))) % 14.71/15.03 (define @t1462 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t951 @t306))) % 14.71/15.03 (define @t1463 () (tptp.hAPP @t13 tptp.nat @t380 @t244)) % 14.71/15.03 (define @t1464 () (tptp.hAPP @t13 tptp.nat @t380 @t245)) % 14.71/15.03 (define @t1465 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 @t1464) @t1463))) % 14.71/15.03 (define @t1466 () (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t632 (tptp.hAPP @t80 @t80 (tptp.hAPP @t101 @t182 @t190 @t380) @t308)))) % 14.71/15.03 (define @t1467 () (@list @t13 @t308 @t380 @t245 @t244)) % 14.71/15.03 (define @t1468 () (tptp.combc tptp.nat tptp.nat tptp.nat)) % 14.71/15.03 (define @t1469 () (tptp.fun tptp.nat @t142)) % 14.71/15.03 (define @t1470 () (tptp.member tptp.nat)) % 14.71/15.03 (define @t1471 () (tptp.fun @t133 tptp.bool)) % 14.71/15.03 (define @t1472 () (tptp.fun tptp.nat @t1471)) % 14.71/15.03 (define @t1473 () (tptp.hAPP @t1472 (tptp.fun @t142 @t1472) (tptp.combb tptp.nat @t1471 tptp.nat) @t1470)) % 14.71/15.03 (define @t1474 () (tptp.combc tptp.nat @t133 tptp.bool)) % 14.71/15.03 (define @t1475 () (tptp.collect tptp.nat)) % 14.71/15.03 (define @t1476 () (@var "L_2" $$unsorted)) % 14.71/15.03 (define @t1477 () (tptp.hAPP @t61 @t134 @t132 @t560)) % 14.71/15.03 (define @t1478 () (@var "I_3" $$unsorted)) % 14.71/15.03 (define @t1479 () (tptp.hAPP @t133 @t61 (tptp.hAPP @t61 @t134 @t132 @t401) @t1478)) % 14.71/15.03 (define @t1480 () (tptp.hAPP @t61 @t42 @t127 @t1479)) % 14.71/15.03 (define @t1481 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t376 @t1480))) % 14.71/15.03 (define @t1482 () (@list @t13 @t401 @t1478)) % 14.71/15.03 (define @t1483 () (tptp.zero_zero tptp.nat)) % 14.71/15.03 (define @t1484 () (tptp.hAPP @t133 tptp.bool (tptp.hAPP tptp.nat @t1471 @t1470 @t1483) @t374)) % 14.71/15.03 (define @t1485 () (tptp.hAPP @t1157 @t1157 (tptp.combc tptp.nat tptp.nat tptp.bool) @t1094)) % 14.71/15.03 (define @t1486 () (tptp.hAPP tptp.nat @t133 @t1485 @t706)) % 14.71/15.03 (define @t1487 () (tptp.fun tptp.nat @t193)) % 14.71/15.03 (define @t1488 () (tptp.fun @t133 @t1487)) % 14.71/15.03 (define @t1489 () (tptp.hAPP @t194 @t1488 (tptp.combb tptp.bool @t193 tptp.nat) tptp.fconj)) % 14.71/15.03 (define @t1490 () (tptp.combs tptp.nat tptp.bool tptp.bool)) % 14.71/15.03 (define @t1491 () (tptp.fun @t119 @t133)) % 14.71/15.03 (define @t1492 () (tptp.fun @t13 @t1491)) % 14.71/15.03 (define @t1493 () (tptp.fun @t13 @t133)) % 14.71/15.03 (define @t1494 () (tptp.fun @t13 @t1487)) % 14.71/15.03 (define @t1495 () (tptp.fun @t13 @t1243)) % 14.71/15.03 (define @t1496 () (tptp.fun @t1487 @t1243)) % 14.71/15.03 (define @t1497 () (tptp.hAPP @t1495 (tptp.fun @t133 @t1493) (tptp.combc @t13 @t133 @t133) (tptp.hAPP @t1494 @t1495 (tptp.hAPP @t1496 (tptp.fun @t1494 @t1495) (tptp.combb @t1487 @t1243 @t13) @t1490) (tptp.hAPP @t1493 @t1494 (tptp.hAPP @t1488 (tptp.fun @t1493 @t1494) (tptp.combb @t133 @t1487 @t13) @t1489) (tptp.hAPP @t119 @t1493 (tptp.hAPP @t1492 (tptp.fun @t119 @t1493) (tptp.combc @t13 @t119 @t133) (tptp.hAPP @t56 @t1492 (tptp.hAPP (tptp.fun @t42 @t1491) (tptp.fun @t56 @t1492) (tptp.combb @t42 @t1491 @t13) (tptp.combb @t13 tptp.bool tptp.nat)) @t195)) @t1295))))) % 14.71/15.03 (define @t1498 () (tptp.fEx tptp.nat)) % 14.71/15.03 (define @t1499 () (tptp.hAPP @t1471 (tptp.fun @t1493 @t42) (tptp.combb @t133 tptp.bool @t13) @t1498)) % 14.71/15.03 (define @t1500 () (tptp.minus_minus tptp.nat)) % 14.71/15.03 (define @t1501 () (tptp.hAPP tptp.nat @t142 @t1500 @t720)) % 14.71/15.03 (define @t1502 () (tptp.hAPP tptp.nat @t133 @t1094 @t1483)) % 14.71/15.03 (define @t1503 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t290 @t432))) % 14.71/15.03 (define @t1504 () (= @t261 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1329 @t265) @t432))) % 14.71/15.03 (define @t1505 () (@list @t432)) % 14.71/15.03 (define @t1506 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t290 @t1483))) % 14.71/15.03 (define @t1507 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 @t261) @t265))) % 14.71/15.03 (define @t1508 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t290 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t261) @t265)))) % 14.71/15.03 (define @t1509 () (@list @t290 @t261 @t265)) % 14.71/15.03 (define @t1510 () (not @t1506)) % 14.71/15.03 (define @t1511 () (forall @t1029 (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t48 @t53) @t306) @t307))) % 14.71/15.03 (define @t1512 () (tptp.comm_monoid_add @t13)) % 14.71/15.03 (define @t1513 () (= @t299 @t53)) % 14.71/15.03 (define @t1514 () (tptp.hAPP @t13 @t13 @t1419 @t261)) % 14.71/15.03 (define @t1515 () (tptp.linord219039673up_add @t13)) % 14.71/15.03 (define @t1516 () (forall @t1029 (= (tptp.hAPP @t13 @t13 @t1400 @t53) @t307))) % 14.71/15.03 (define @t1517 () (tptp.hAPP @t13 @t27 @t43 @t306)) % 14.71/15.03 (define @t1518 () (tptp.group_add @t13)) % 14.71/15.03 (define @t1519 () (tptp.ordered_ab_group_add @t13)) % 14.71/15.03 (define @t1520 () (= @t771 @t1483)) % 14.71/15.03 (define @t1521 () (tptp.hAPP tptp.nat @t142 @t1500 @t771)) % 14.71/15.03 (define @t1522 () (tptp.hAPP tptp.nat tptp.nat @t1521 @t774)) % 14.71/15.03 (define @t1523 () (tptp.hAPP tptp.nat @t142 @t1500 @t1142)) % 14.71/15.03 (define @t1524 () (tptp.hAPP tptp.nat tptp.nat @t1523 @t771)) % 14.71/15.03 (define @t1525 () (tptp.hAPP tptp.nat @t142 @t1500 @t1377)) % 14.71/15.03 (define @t1526 () (tptp.hAPP tptp.nat tptp.nat @t1341 @t1142)) % 14.71/15.03 (define @t1527 () (tptp.hAPP tptp.nat @t142 @t1500 @t774)) % 14.71/15.03 (define @t1528 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 (tptp.hAPP tptp.nat tptp.nat @t1527 @t1202)) @t778)) % 14.71/15.03 (define @t1529 () (tptp.hAPP tptp.nat @t142 @t1500 @t1362)) % 14.71/15.03 (define @t1530 () (= @t770 @t1483)) % 14.71/15.03 (define @t1531 () (= @t1063 @t1483)) % 14.71/15.03 (define @t1532 () (tptp.hAPP tptp.nat tptp.nat @t1372 @t770)) % 14.71/15.03 (define @t1533 () (@list @t1142)) % 14.71/15.03 (define @t1534 () (tptp.hAPP tptp.nat @t142 @t1329 @t1483)) % 14.71/15.03 (define @t1535 () (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t43 @t261) @t265)) % 14.71/15.03 (define @t1536 () (@var "D" $$unsorted)) % 14.71/15.03 (define @t1537 () (= @t1535 (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t43 @t471) @t1536))) % 14.71/15.03 (define @t1538 () (@list @t261 @t265 @t471 @t1536)) % 14.71/15.03 (define @t1539 () (tptp.ab_group_add @t13)) % 14.71/15.03 (define @t1540 () (= @t1535 @t53)) % 14.71/15.03 (define @t1541 () (= @t601 @t53)) % 14.71/15.03 (define @t1542 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1483)) % 14.71/15.03 (define @t1543 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1502 @t771))) % 14.71/15.03 (define @t1544 () (@list @t774 @t771)) % 14.71/15.03 (define @t1545 () (not @t1520)) % 14.71/15.03 (define @t1546 () (tptp.hAPP tptp.nat @t142 @t1500 @t1343)) % 14.71/15.03 (define @t1547 () (tptp.hAPP tptp.nat tptp.nat @t1546 @t1142)) % 14.71/15.03 (define @t1548 () (tptp.hAPP tptp.nat tptp.nat @t1546 @t771)) % 14.71/15.03 (define @t1549 () (@list @t1343 @t1142 @t771)) % 14.71/15.03 (define @t1550 () (tptp.hAPP tptp.nat @t142 @t1500 @t1202)) % 14.71/15.03 (define @t1551 () (tptp.hAPP tptp.nat @t133 @t1094 @t1524)) % 14.71/15.03 (define @t1552 () (tptp.hAPP tptp.nat @t142 @t1500 @t770)) % 14.71/15.03 (define @t1553 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1502 @t770))) % 14.71/15.03 (define @t1554 () (not @t1530)) % 14.71/15.03 (define @t1555 () (@list @t770)) % 14.71/15.03 (define @t1556 () (tptp.hAPP tptp.nat @t106 @t124 @t770)) % 14.71/15.03 (define @t1557 () (tptp.hAPP @t13 @t61 @t1556 @t244)) % 14.71/15.03 (define @t1558 () (tptp.hAPP tptp.nat @t142 @t1500 @t1063)) % 14.71/15.03 (define @t1559 () (tptp.hAPP tptp.nat tptp.nat @t1558 @t770)) % 14.71/15.03 (define @t1560 () (= @t1524 @t1483)) % 14.71/15.03 (define @t1561 () (tptp.hAPP tptp.nat tptp.nat @t1552 @t820)) % 14.71/15.03 (define @t1562 () (tptp.hAPP tptp.nat tptp.nat @t1558 @t820)) % 14.71/15.03 (define @t1563 () (tptp.hAPP tptp.nat @t133 @t1049 @t820)) % 14.71/15.03 (define @t1564 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1563 @t770))) % 14.71/15.03 (define @t1565 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1563 @t1063))) % 14.71/15.03 (define @t1566 () (@list @t770 @t820 @t1063)) % 14.71/15.03 (define @t1567 () (@var "Nat_3" $$unsorted)) % 14.71/15.03 (define @t1568 () (@var "Nat_2" $$unsorted)) % 14.71/15.03 (define @t1569 () (tptp.hAPP tptp.nat @t142 @t1500 @t1143)) % 14.71/15.03 (define @t1570 () (tptp.hAPP tptp.nat tptp.nat @t1569 @t771)) % 14.71/15.03 (define @t1571 () (tptp.fun @t142 @t142)) % 14.71/15.03 (define @t1572 () (tptp.hAPP tptp.nat @t1571 (tptp.nat_case tptp.nat) @t1483)) % 14.71/15.03 (define @t1573 () (tptp.hAPP tptp.nat tptp.nat @t1550 @t778)) % 14.71/15.03 (define @t1574 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1329 @t1573) @t774)) % 14.71/15.03 (define @t1575 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t1359) @t778)) % 14.71/15.03 (define @t1576 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1324 @t1202))) % 14.71/15.03 (define @t1577 () (@list @t774 @t778 @t1202)) % 14.71/15.03 (define @t1578 () (tptp.hAPP tptp.nat tptp.nat @t1337 @t1573)) % 14.71/15.03 (define @t1579 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t1338) @t778)) % 14.71/15.03 (define @t1580 () (tptp.hAPP tptp.nat @t142 @t1500 @t1227)) % 14.71/15.03 (define @t1581 () (tptp.hAPP tptp.nat tptp.nat @t1580 @t820)) % 14.71/15.03 (define @t1582 () (= (tptp.hAPP tptp.nat tptp.nat @t1361 @t1524) @t1142)) % 14.71/15.03 (define @t1583 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t1410) @t53))) % 14.71/15.03 (define @t1584 () (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1115 @t53)) @t1583)) % 14.71/15.03 (define @t1585 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1112 @t53))) % 14.71/15.03 (define @t1586 () (tptp.ordere216010020id_add @t13)) % 14.71/15.03 (define @t1587 () (tptp.hAPP @t13 @t42 @t151 @t53)) % 14.71/15.03 (define @t1588 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1587 @t1410))) % 14.71/15.03 (define @t1589 () (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1587 @t304)) @t1588)) % 14.71/15.03 (define @t1590 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1587 @t306))) % 14.71/15.03 (define @t1591 () (forall @t1032 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t1514) @t53)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1130 @t53))))) % 14.71/15.03 (define @t1592 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1002 @t53))) % 14.71/15.03 (define @t1593 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1005 @t53))) % 14.71/15.03 (define @t1594 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1002 @t1401))) % 14.71/15.03 (define @t1595 () (tptp.hAPP @t13 @t42 @t950 @t53)) % 14.71/15.03 (define @t1596 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1595 @t306))) % 14.71/15.03 (define @t1597 () (@list @t304 @t997 @t306)) % 14.71/15.03 (define @t1598 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1595 @t304))) % 14.71/15.03 (define @t1599 () (or (and (= @t1063 @t1542) @t1530) (and @t1531 (= @t770 @t1542)))) % 14.71/15.03 (define @t1600 () (tptp.hAPP @t61 tptp.nat @t146 @t89)) % 14.71/15.03 (define @t1601 () (forall @t28 (= @t1600 @t1483))) % 14.71/15.03 (define @t1602 () (tptp.hAPP tptp.nat @t13 @t1292 @t1483)) % 14.71/15.03 (define @t1603 () (forall @t372 (= @t1602 @t526))) % 14.71/15.03 (define @t1604 () (tptp.hAPP @t13 @t61 @t1556 @t245)) % 14.71/15.03 (define @t1605 () (@list @t13 @t770 @t245)) % 14.71/15.03 (define @t1606 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t451 (tptp.hAPP @t61 @t42 @t127 (tptp.hAPP @t13 @t61 @t1556 @t261))))) % 14.71/15.03 (define @t1607 () (@list @t13 @t290 @t770 @t261)) % 14.71/15.03 (define @t1608 () (@list @t13 @t369 @t771)) % 14.71/15.03 (define @t1609 () (tptp.hAPP @t142 @t1571 (tptp.combb tptp.nat tptp.nat tptp.nat) tptp.suc)) % 14.71/15.03 (define @t1610 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1202)) % 14.71/15.03 (define @t1611 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1573)) % 14.71/15.03 (define @t1612 () (@list @t1142 @t778 @t1202)) % 14.71/15.03 (define @t1613 () (tptp.hAPP tptp.nat tptp.nat @t1521 @t720)) % 14.71/15.03 (define @t1614 () (@list @t13 @t771 @t368 @t435)) % 14.71/15.03 (define @t1615 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1115 @t1401))) % 14.71/15.03 (define @t1616 () (=> @t1127 @t1615)) % 14.71/15.03 (define @t1617 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1502 @t706))) % 14.71/15.03 (define @t1618 () (tptp.hAPP @t133 @t61 (tptp.hAPP @t61 @t134 @t132 @t607) @t374)) % 14.71/15.03 (define @t1619 () (tptp.hBOOL @t1484)) % 14.71/15.03 (define @t1620 () (tptp.hAPP tptp.nat @t13 @t1395 @t771)) % 14.71/15.03 (define @t1621 () (not @t1096)) % 14.71/15.03 (define @t1622 () (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t1133 @t771) @t369)) % 14.71/15.03 (define @t1623 () (tptp.hAPP tptp.nat tptp.nat @t1501 @t774)) % 14.71/15.03 (define @t1624 () (@var "List_1" $$unsorted)) % 14.71/15.03 (define @t1625 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t290 @t770))) % 14.71/15.03 (define @t1626 () (@list @t770 @t290)) % 14.71/15.03 (define @t1627 () (tptp.minus_minus @t42)) % 14.71/15.03 (define @t1628 () (tptp.hAPP @t42 @t180 @t1627 @t1009)) % 14.71/15.03 (define @t1629 () (tptp.hAPP @t42 @t180 @t1627 @t379)) % 14.71/15.03 (define @t1630 () (@var "D_2" $$unsorted)) % 14.71/15.03 (define @t1631 () (tptp.hAPP @t42 @t42 (tptp.hAPP @t42 @t180 @t1627 @t374) @t379)) % 14.71/15.03 (define @t1632 () (tptp.hAPP @t42 @t192 @t954 @t1631)) % 14.71/15.03 (define @t1633 () (exists @t1251 (= @t771 @t1249))) % 14.71/15.03 (define @t1634 () (tptp.linordered_idom @t13)) % 14.71/15.03 (define @t1635 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t960 @t1631))) % 14.71/15.03 (define @t1636 () (not @t961)) % 14.71/15.03 (define @t1637 () (tptp.hAPP @t42 @t42 @t976 @t374)) % 14.71/15.03 (define @t1638 () (tptp.fun @t13 @t193)) % 14.71/15.03 (define @t1639 () (tptp.hAPP @t42 @t1638 (tptp.hAPP @t194 (tptp.fun @t42 @t1638) (tptp.combb tptp.bool @t193 @t13) tptp.fconj) @t1637)) % 14.71/15.03 (define @t1640 () (tptp.linordered_semidom @t13)) % 14.71/15.03 (define @t1641 () (@var "Nat" $$unsorted)) % 14.71/15.03 (define @t1642 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1641)) % 14.71/15.03 (define @t1643 () (@list @t1641)) % 14.71/15.03 (define @t1644 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t290 @t1235))) % 14.71/15.03 (define @t1645 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t290 @t1236))) % 14.71/15.03 (define @t1646 () (forall @t1239 (=> @t1645 @t1644))) % 14.71/15.03 (define @t1647 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t290 @t820))) % 14.71/15.03 (define @t1648 () (@var "Nat_1" $$unsorted)) % 14.71/15.03 (define @t1649 () (@var "Fa" $$unsorted)) % 14.71/15.03 (define @t1650 () (tptp.hAPP @t101 @t100 @t99 @t1649)) % 14.71/15.03 (define @t1651 () (tptp.hAPP tptp.nat tptp.nat @t145 @t1483)) % 14.71/15.03 (define @t1652 () (tptp.hAPP @t61 tptp.nat (tptp.hAPP @t101 @t100 @t99 @t380) @t401)) % 14.71/15.03 (define @t1653 () (tptp.hAPP tptp.nat @t133 @t1094 @t244)) % 14.71/15.03 (define @t1654 () (@list @t13 @t244 @t380 @t245 @t401)) % 14.71/15.03 (define @t1655 () (tptp.hAPP tptp.nat @t133 @t1049 @t244)) % 14.71/15.03 (define @t1656 () (@var "XS" $$unsorted)) % 14.71/15.03 (define @t1657 () (tptp.fun @t66 tptp.bool)) % 14.71/15.03 (define @t1658 () (tptp.fun @t13 @t130)) % 14.71/15.03 (define @t1659 () (tptp.fun @t13 @t66)) % 14.71/15.03 (define @t1660 () (tptp.fun @t62 @t66)) % 14.71/15.03 (define @t1661 () (tptp.fun @t61 @t1660)) % 14.71/15.03 (define @t1662 () (tptp.fun @t74 @t1659)) % 14.71/15.03 (define @t1663 () (tptp.fun @t61 @t1662)) % 14.71/15.03 (define @t1664 () (tptp.fun @t61 @t1659)) % 14.71/15.03 (define @t1665 () (tptp.fun @t13 @t1164)) % 14.71/15.03 (define @t1666 () (tptp.fun @t1659 @t1665)) % 14.71/15.03 (define @t1667 () (tptp.fun @t61 @t1665)) % 14.71/15.03 (define @t1668 () (tptp.fun @t1665 @t1658)) % 14.71/15.03 (define @t1669 () (tptp.fun @t61 @t1658)) % 14.71/15.03 (define @t1670 () (tptp.fun @t1659 @t1659)) % 14.71/15.03 (define @t1671 () (tptp.fun @t61 @t1670)) % 14.71/15.03 (define @t1672 () (tptp.fun @t1659 @t42)) % 14.71/15.03 (define @t1673 () (tptp.hAPP @t42 @t130 @t129 @t374)) % 14.71/15.03 (define @t1674 () (tptp.comm_semiring_1 @t13)) % 14.71/15.03 (define @t1675 () (tptp.hAPP @t13 @t27 @t48 @t1401)) % 14.71/15.03 (define @t1676 () (tptp.hAPP @t13 @t13 @t1407 @t1397)) % 14.71/15.03 (define @t1677 () (tptp.hAPP @t13 @t13 @t1400 @t1676)) % 14.71/15.03 (define @t1678 () (@list @t306 @t997 @t1397)) % 14.71/15.03 (define @t1679 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1328 @t706) @t742)) % 14.71/15.03 (define @t1680 () (tptp.nth @t15)) % 14.71/15.03 (define @t1681 () (tptp.fun tptp.nat @t15)) % 14.71/15.03 (define @t1682 () (tptp.hAPP @t91 @t1681 @t1680 @t574)) % 14.71/15.03 (define @t1683 () (tptp.fun tptp.nat @t159)) % 14.71/15.03 (define @t1684 () (tptp.fun tptp.nat @t36)) % 14.71/15.03 (define @t1685 () (tptp.fun @t1684 @t133)) % 14.71/15.03 (define @t1686 () (tptp.fun @t36 @t1685)) % 14.71/15.03 (define @t1687 () (tptp.fun @t36 @t37)) % 14.71/15.03 (define @t1688 () (tptp.fun @t36 @t133)) % 14.71/15.03 (define @t1689 () (tptp.fun @t36 @t1487)) % 14.71/15.03 (define @t1690 () (tptp.fun @t36 @t1243)) % 14.71/15.03 (define @t1691 () (tptp.hAPP @t61 @t140 @t138 @t401)) % 14.71/15.03 (define @t1692 () (tptp.hAPP @t91 @t139 @t1691 @t574)) % 14.71/15.03 (define @t1693 () (tptp.set @t36)) % 14.71/15.03 (define @t1694 () (tptp.hAPP @t139 @t37 @t1693 @t1692)) % 14.71/15.03 (define @t1695 () (tptp.hAPP @t91 tptp.nat @t740 @t435)) % 14.71/15.03 (define @t1696 () (tptp.hAPP @t61 @t140 @t138 @t368)) % 14.71/15.03 (define @t1697 () (tptp.hAPP @t91 @t139 @t1696 @t435)) % 14.71/15.03 (define @t1698 () (@list @t13 @t15 @t368 @t435)) % 14.71/15.03 (define @t1699 () (tptp.rev @t15)) % 14.71/15.03 (define @t1700 () (@var "Vs_2" $$unsorted)) % 14.71/15.03 (define @t1701 () (tptp.hAPP @t61 @t140 @t138 @t435)) % 14.71/15.03 (define @t1702 () (tptp.append @t36)) % 14.71/15.03 (define @t1703 () (tptp.fun @t139 @t139)) % 14.71/15.03 (define @t1704 () (tptp.hAPP @t61 @t140 @t138 @t570)) % 14.71/15.03 (define @t1705 () (tptp.cons @t36)) % 14.71/15.03 (define @t1706 () (tptp.fun @t15 @t1703)) % 14.71/15.03 (define @t1707 () (tptp.fun @t36 @t1703)) % 14.71/15.03 (define @t1708 () (tptp.fun @t140 @t140)) % 14.71/15.03 (define @t1709 () (tptp.fun @t15 @t1708)) % 14.71/15.03 (define @t1710 () (tptp.fun @t15 @t140)) % 14.71/15.03 (define @t1711 () (tptp.nil @t36)) % 14.71/15.03 (define @t1712 () (tptp.fun @t61 @t139)) % 14.71/15.03 (define @t1713 () (tptp.fun @t13 @t36)) % 14.71/15.03 (define @t1714 () (tptp.fun @t13 @t1703)) % 14.71/15.03 (define @t1715 () (tptp.fun @t1712 @t1712)) % 14.71/15.03 (define @t1716 () (tptp.fun @t13 @t1715)) % 14.71/15.03 (define @t1717 () (tptp.fun @t13 @t1712)) % 14.71/15.03 (define @t1718 () (tptp.hAPP @t91 @t91 (tptp.hAPP @t15 @t420 @t419 @t244) @t574)) % 14.71/15.03 (define @t1719 () (tptp.hAPP @t15 @t36 (tptp.hAPP @t13 @t159 @t158 @t369) @t396)) % 14.71/15.03 (define @t1720 () (tptp.fun @t36 @t139)) % 14.71/15.03 (define @t1721 () (tptp.list_update @t15)) % 14.71/15.03 (define @t1722 () (tptp.fun @t15 @t91)) % 14.71/15.03 (define @t1723 () (tptp.fun tptp.nat @t1722)) % 14.71/15.03 (define @t1724 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t15 @t201 @t200 @t244) (tptp.hAPP @t91 @t34 (tptp.set @t15) @t574)))) % 14.71/15.03 (define @t1725 () (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t312 @t1694))) % 14.71/15.03 (define @t1726 () (@list @t13 @t15 @t245 @t244 @t401 @t574)) % 14.71/15.03 (define @t1727 () (tptp.list @t79)) % 14.71/15.03 (define @t1728 () (tptp.hAPP @t61 (tptp.fun @t61 @t1727) (tptp.zip @t13 @t13) @t401)) % 14.71/15.03 (define @t1729 () (tptp.set @t79)) % 14.71/15.03 (define @t1730 () (tptp.product_prod @t15 @t13)) % 14.71/15.03 (define @t1731 () (tptp.list @t1730)) % 14.71/15.03 (define @t1732 () (tptp.take @t15)) % 14.71/15.03 (define @t1733 () (@list @t13 @t15 @t771 @t368 @t435)) % 14.71/15.03 (define @t1734 () (tptp.drop @t15)) % 14.71/15.03 (define @t1735 () (@list @t15 @t13 @t368 @t435 @t568)) % 14.71/15.03 (define @t1736 () (@var "Ws" $$unsorted)) % 14.71/15.03 (define @t1737 () (tptp.hAPP @t79 @t178 @t512 @t338)) % 14.71/15.03 (define @t1738 () (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t1737 (tptp.hAPP @t1727 @t80 @t1729 (tptp.hAPP @t61 @t1727 @t1728 @t574))))) % 14.71/15.03 (define @t1739 () (tptp.fun @t13 @t180)) % 14.71/15.03 (define @t1740 () (tptp.hBOOL (tptp.hAPP @t36 tptp.bool (tptp.hAPP @t35 @t37 @t713 @t290) @t338))) % 14.71/15.03 (define @t1741 () (tptp.hAPP @t36 @t311 @t310 @t338)) % 14.71/15.03 (define @t1742 () (tptp.hAPP @t35 @t104 @t102 @t290)) % 14.71/15.03 (define @t1743 () (tptp.hAPP @t61 @t103 @t1742 @t401)) % 14.71/15.03 (define @t1744 () (tptp.hBOOL (tptp.hAPP @t91 tptp.bool @t1743 @t574))) % 14.71/15.03 (define @t1745 () (@list @t15 @t13 @t290 @t401 @t574)) % 14.71/15.03 (define @t1746 () (@var "As_1" $$unsorted)) % 14.71/15.03 (define @t1747 () (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t1742 @t261) @t265))) % 14.71/15.03 (define @t1748 () (tptp.hAPP @t61 @t103 @t1742 @t598)) % 14.71/15.03 (define @t1749 () (@var "Bs" $$unsorted)) % 14.71/15.03 (define @t1750 () (tptp.hAPP @t91 @t91 @t1699 @t574)) % 14.71/15.03 (define @t1751 () (tptp.hAPP @t61 @t103 @t1742 @t811)) % 14.71/15.03 (define @t1752 () (tptp.hAPP @t91 @t420 @t642 @t574)) % 14.71/15.03 (define @t1753 () (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t34 @t290 (tptp.hAPP tptp.nat @t13 @t1295 @t684)) (tptp.hAPP tptp.nat @t15 @t1682 @t684)))) % 14.71/15.03 (define @t1754 () (tptp.hAPP tptp.nat @t133 @t1094 @t684)) % 14.71/15.03 (define @t1755 () (@list @t15 @t13 @t684 @t290 @t401 @t574)) % 14.71/15.03 (define @t1756 () (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t1742 @t1041) (tptp.hAPP @t15 @t91 (tptp.hAPP tptp.nat @t1722 (tptp.hAPP @t91 @t1723 @t1721 @t574) @t361) @t244)))) % 14.71/15.03 (define @t1757 () (tptp.hAPP @t61 tptp.nat @t146 @t261)) % 14.71/15.03 (define @t1758 () (= @t1757 (tptp.hAPP @t91 tptp.nat @t740 @t265))) % 14.71/15.03 (define @t1759 () (@list @t13 @t15 @t290 @t261 @t265)) % 14.71/15.03 (define @t1760 () (@list @t15 @t13 @t290 @t401 @t574 @t573)) % 14.71/15.03 (define @t1761 () (@list @t626 @t660)) % 14.71/15.03 (define @t1762 () (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t805 @t778) @t369)) % 14.71/15.03 (define @t1763 () (tptp.hAPP @t61 @t13 @t75 @t1762)) % 14.71/15.03 (define @t1764 () (tptp.one_one tptp.nat)) % 14.71/15.03 (define @t1765 () (tptp.hAPP tptp.nat tptp.nat @t1501 @t1764)) % 14.71/15.03 (define @t1766 () (= @t778 @t1765)) % 14.71/15.03 (define @t1767 () (not @t1766)) % 14.71/15.03 (define @t1768 () (@list @t13 @t369 @t778 @t368)) % 14.71/15.03 (define @t1769 () (tptp.hAPP tptp.nat tptp.nat @t1521 @t1764)) % 14.71/15.03 (define @t1770 () (tptp.hAPP tptp.nat @t62 @t135 @t1769)) % 14.71/15.03 (define @t1771 () (tptp.zero_neq_one @t13)) % 14.71/15.03 (define @t1772 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t1081) @t1764)) % 14.71/15.03 (define @t1773 () (forall @t1141 (= @t1772 @t771))) % 14.71/15.03 (define @t1774 () (tptp.hAPP tptp.nat tptp.nat @t1523 @t1764)) % 14.71/15.03 (define @t1775 () (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t1764) @t371)) % 14.71/15.03 (define @t1776 () (forall @t372 (= @t1775 @t472))) % 14.71/15.03 (define @t1777 () (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t67 @t1764) @t371)) % 14.71/15.03 (define @t1778 () (forall @t372 (= @t1777 @t368))) % 14.71/15.03 (define @t1779 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1769)) % 14.71/15.03 (define @t1780 () (= @t1142 @t1483)) % 14.71/15.03 (define @t1781 () (tptp.hAPP tptp.nat @t13 @t1292 @t771)) % 14.71/15.03 (define @t1782 () (tptp.hAPP @t61 @t61 @t812 @t371)) % 14.71/15.03 (define @t1783 () (= @t1782 (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t67 @t1769) @t368))) % 14.71/15.03 (define @t1784 () (=> @t1545 @t1783)) % 14.71/15.03 (define @t1785 () (=> @t1520 (= @t1782 @t371))) % 14.71/15.03 (define @t1786 () (and @t1785 @t1784)) % 14.71/15.03 (define @t1787 () (forall @t1293 @t1786)) % 14.71/15.03 (define @t1788 () (tptp.hAPP @t61 @t61 @t64 @t1762)) % 14.71/15.03 (define @t1789 () (@var "T_1" $$unsorted)) % 14.71/15.03 (define @t1790 () (@var "T_2" $$unsorted)) % 14.71/15.03 (define @t1791 () (tptp.product_prod @t1790 @t1789)) % 14.71/15.03 (define @t1792 () (tptp.enum @t1790)) % 14.71/15.03 (define @t1793 () (and (tptp.enum @t1789) @t1792)) % 14.71/15.03 (define @t1794 () (@list @t1790 @t1789)) % 14.71/15.03 (define @t1795 () (tptp.fun @t1790 @t1789)) % 14.71/15.03 (define @t1796 () (@var "A" $$unsorted)) % 14.71/15.03 (define @t1797 () (@var "T" $$unsorted)) % 14.71/15.03 (define @t1798 () (tptp.ti @t1797 @t1796)) % 14.71/15.03 (define @t1799 () (@list @t13 @t369 @t396)) % 14.71/15.03 (define @t1800 () (@var "P" $$unsorted)) % 14.71/15.03 (define @t1801 () (tptp.ti tptp.bool @t1800)) % 14.71/15.03 (define @t1802 () (@list @t1800)) % 14.71/15.03 (define @t1803 () (tptp.hBOOL @t1800)) % 14.71/15.03 (define @t1804 () (not @t1803)) % 14.71/15.03 (define @t1805 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool tptp.fNot @t1800))) % 14.71/15.03 (define @t1806 () (@var "R" $$unsorted)) % 14.71/15.03 (define @t1807 () (@var "Q" $$unsorted)) % 14.71/15.03 (define @t1808 () (tptp.hAPP @t13 @t15 @t1807 @t1806)) % 14.71/15.03 (define @t1809 () (@list @t13 @t14 @t15 @t1800 @t1807 @t1806)) % 14.71/15.03 (define @t1810 () (tptp.hAPP @t13 @t20 @t1800 @t1806)) % 14.71/15.03 (define @t1811 () (tptp.ti @t13 @t1800)) % 14.71/15.03 (define @t1812 () (tptp.hAPP @t15 @t13 (tptp.hAPP @t13 @t30 @t29 @t1800) @t1807)) % 14.71/15.03 (define @t1813 () (forall (@list @t15 @t13 @t1800 @t1807) (= @t1812 @t1811))) % 14.71/15.03 (define @t1814 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t193 tptp.fconj @t1800) @t1807))) % 14.71/15.03 (define @t1815 () (tptp.hBOOL @t1807)) % 14.71/15.03 (define @t1816 () (not @t1815)) % 14.71/15.03 (define @t1817 () (@list @t1807 @t1800)) % 14.71/15.03 (define @t1818 () (not @t1814)) % 14.71/15.03 (define @t1819 () (@list @t1800 @t1807)) % 14.71/15.03 (define @t1820 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t193 tptp.fdisj @t1800) @t1807))) % 14.71/15.03 (define @t1821 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t195 @t369) @t396))) % 14.71/15.03 (define @t1822 () (tptp.hAPP @t1 @t6 @t224 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t226 tptp.c))) % 14.71/15.03 (define @t1823 () (forall @t229 (= @t228 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t1822 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 (tptp.hAPP tptp.arrow_2142409994le_alt @t8 (tptp.hAPP @t2 @t9 tptp.arrow_1665824030_below @t225) tptp.c) tptp.b)))))) % 14.71/15.03 (define @t1824 () (@var "BOUND_VARIABLE_17666" $$unsorted)) % 14.71/15.03 (define @t1825 () (@var "BOUND_VARIABLE_17662" $$unsorted)) % 14.71/15.03 (define @t1826 () (tptp.last @t1825)) % 14.71/15.03 (define @t1827 () (tptp.list @t1825)) % 14.71/15.03 (define @t1828 () (@var "BOUND_VARIABLE_17664" $$unsorted)) % 14.71/15.03 (define @t1829 () (= (tptp.hAPP @t1827 @t1825 @t1826 (tptp.hAPP @t1827 @t1827 (tptp.hAPP @t1825 (tptp.fun @t1827 @t1827) (tptp.cons @t1825) @t1828) @t1824)) (tptp.hAPP @t1827 @t1825 @t1826 @t1824))) % 14.71/15.03 (define @t1830 () (tptp.nil @t1825)) % 14.71/15.03 (define @t1831 () (or (= @t1830 @t1824) @t1829)) % 14.71/15.03 (define @t1832 () (@list @t1825 @t1828 @t1824)) % 14.71/15.03 (define @t1833 () (forall @t1832 @t1831)) % 14.71/15.03 (define @t1834 () (@var "BOUND_VARIABLE_17641" $$unsorted)) % 14.71/15.03 (define @t1835 () (tptp.nil @t1834)) % 14.71/15.03 (define @t1836 () (@var "BOUND_VARIABLE_17643" $$unsorted)) % 14.71/15.03 (define @t1837 () (tptp.list @t1834)) % 14.71/15.03 (define @t1838 () (tptp.hAPP @t1834 (tptp.fun @t1837 @t1837) (tptp.cons @t1834) @t1836)) % 14.71/15.03 (define @t1839 () (tptp.last @t1834)) % 14.71/15.03 (define @t1840 () (tptp.hAPP @t1837 @t1834 @t1839 (tptp.hAPP @t1837 @t1837 @t1838 @t1835))) % 14.71/15.03 (define @t1841 () (tptp.ti @t1834 @t1836)) % 14.71/15.03 (define @t1842 () (= @t1841 @t1840)) % 14.71/15.03 (define @t1843 () (not (= @t1835 @t1835))) % 14.71/15.03 (define @t1844 () (or @t1843 (= @t1840 @t1841))) % 14.71/15.03 (define @t1845 () (@list @t1834 @t1836)) % 14.71/15.03 (define @t1846 () (@var "BOUND_VARIABLE_17645" $$unsorted)) % 14.71/15.03 (define @t1847 () (= (tptp.hAPP @t1837 @t1834 @t1839 (tptp.hAPP @t1837 @t1837 @t1838 @t1846)) @t1841)) % 14.71/15.03 (define @t1848 () (not (= @t1846 @t1835))) % 14.71/15.03 (define @t1849 () (or @t1848 @t1848 @t1847)) % 14.71/15.03 (define @t1850 () (@list @t1846)) % 14.71/15.03 (define @t1851 () (or @t1848 @t1847)) % 14.71/15.03 (define @t1852 () (forall @t1850 @t1851)) % 14.71/15.03 (define @t1853 () (forall @t1845 @t1852)) % 14.71/15.03 (define @t1854 () (@list @t1834 @t1836 @t1846)) % 14.71/15.03 (define @t1855 () (not (= @t1835 @t1846))) % 14.71/15.03 (define @t1856 () (or @t1855 @t1847)) % 14.71/15.03 (define @t1857 () (forall @t1854 @t1856)) % 14.71/15.03 (define @t1858 () (= @t89 @t368)) % 14.71/15.03 (define @t1859 () (or @t1858 @t524)) % 14.71/15.03 (define @t1860 () (forall @t372 @t1859)) % 14.71/15.03 (define @t1861 () (@list @t13 @t369 @t368)) % 14.71/15.03 (define @t1862 () (not @t1858)) % 14.71/15.03 (define @t1863 () (or @t1862 @t527)) % 14.71/15.03 (define @t1864 () (forall @t372 @t1863)) % 14.71/15.03 (define @t1865 () (and @t1864 @t1860)) % 14.71/15.03 (define @t1866 () (and (=> @t1858 @t527) (=> @t1862 @t524))) % 14.71/15.03 (define @t1867 () (tptp.last tptp.arrow_2142409994le_alt)) % 14.71/15.03 (define @t1868 () (tptp.hAPP @t210 tptp.arrow_2142409994le_alt @t1867 @t215)) % 14.71/15.03 (define @t1869 () (tptp.hAPP @t210 tptp.arrow_2142409994le_alt @t1867 @t213)) % 14.71/15.03 (define @t1870 () (or (= @t213 @t208) (= @t1868 @t1869))) % 14.71/15.03 (define @t1871 () (forall @t1832 (or (= @t1824 @t1830) @t1829))) % 14.71/15.03 (define @t1872 () (@list tptp.arrow_2142409994le_alt tptp.b @t213)) % 14.71/15.03 (define @t1873 () (= @t1869 @t1868)) % 14.71/15.03 (define @t1874 () (= @t208 @t213)) % 14.71/15.03 (define @t1875 () (or @t1874 @t1873)) % 14.71/15.03 (define @t1876 () (@list false)) % 14.71/15.03 (define @t1877 () (@list tptp.arrow_2142409994le_alt tptp.c @t208)) % 14.71/15.03 (define @t1878 () (@list true false)) % 14.71/15.03 (define @t1879 () (@list tptp.arrow_2142409994le_alt tptp.a @t215)) % 14.71/15.03 (define @t1880 () (tptp.hBOOL (tptp.hAPP @t210 tptp.bool @t218 @t215))) % 14.71/15.03 (define @t1881 () (tptp.set tptp.arrow_2142409994le_alt)) % 14.71/15.03 (define @t1882 () (tptp.hAPP @t210 @t148 @t1881 @t215)) % 14.71/15.03 (define @t1883 () (tptp.member tptp.arrow_2142409994le_alt)) % 14.71/15.03 (define @t1884 () (tptp.fun @t148 tptp.bool)) % 14.71/15.03 (define @t1885 () (tptp.hBOOL (tptp.hAPP @t148 tptp.bool (tptp.hAPP tptp.arrow_2142409994le_alt @t1884 @t1883 tptp.a) @t1882))) % 14.71/15.03 (define @t1886 () (not @t1885)) % 14.71/15.03 (define @t1887 () (and @t1886 @t1880)) % 14.71/15.03 (define @t1888 () (= @t219 @t1887)) % 14.71/15.03 (define @t1889 () (@list false false)) % 14.71/15.03 (define @t1890 () (not @t1887)) % 14.71/15.03 (define @t1891 () (@list @t1887)) % 14.71/15.03 (define @t1892 () (= @t89 @t866)) % 14.71/15.03 (define @t1893 () (not @t1892)) % 14.71/15.03 (define @t1894 () (tptp.hAPP tptp.arrow_2142409994le_alt @t1884 @t1883 @t1868)) % 14.71/15.03 (define @t1895 () (tptp.hAPP @t148 tptp.bool @t1894 @t1882)) % 14.71/15.03 (define @t1896 () (tptp.hBOOL @t1895)) % 14.71/15.03 (define @t1897 () (= @t208 @t215)) % 14.71/15.03 (define @t1898 () (or @t1897 @t1896)) % 14.71/15.03 (define @t1899 () (or @t264 @t269 @t267)) % 14.71/15.03 (define @t1900 () (= @t277 (and @t255 (or @t273 @t274) (or @t272 (and @t1899 (or @t263 @t248)))))) % 14.71/15.03 (define @t1901 () (not @t281)) % 14.71/15.03 (define @t1902 () (or @t283 @t1901 @t1900)) % 14.71/15.03 (define @t1903 () (@quantifiers_skolemize @t1823 0)) % 14.71/15.03 (define @t1904 () (tptp.hAPP tptp.arrow_1998540521e_indi @t2 tptp.p @t1903)) % 14.71/15.03 (define @t1905 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t227 @t1904))) % 14.71/15.03 (define @t1906 () (= @t202 @t204)) % 14.71/15.03 (define @t1907 () (not @t1906)) % 14.71/15.03 (define @t1908 () (and @t1907 @t1905)) % 14.71/15.03 (define @t1909 () (or @t1906 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t1822 @t1904)))) % 14.71/15.03 (define @t1910 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t224 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t223 tptp.c)) @t1904))) % 14.71/15.03 (define @t1911 () (= @t203 @t204)) % 14.71/15.03 (define @t1912 () (= @t204 @t203)) % 14.71/15.03 (define @t1913 () (or @t1907 @t1912 @t1910)) % 14.71/15.03 (define @t1914 () (and @t1913 @t1909)) % 14.71/15.03 (define @t1915 () (= @t204 @t204)) % 14.71/15.03 (define @t1916 () (or @t1915 @t1914)) % 14.71/15.03 (define @t1917 () (not @t1915)) % 14.71/15.03 (define @t1918 () (or @t1917 @t1905)) % 14.71/15.03 (define @t1919 () (and @t1907 @t1918 @t1916)) % 14.71/15.03 (define @t1920 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t1822 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 (tptp.hAPP tptp.arrow_2142409994le_alt @t8 (tptp.hAPP @t2 @t9 tptp.arrow_1665824030_below @t1904) tptp.c) tptp.b)))) % 14.71/15.03 (define @t1921 () (= @t1920 @t1919)) % 14.71/15.03 (define @t1922 () (tptp.hAPP @t2 @t280 @t279 @t1904)) % 14.71/15.03 (define @t1923 () (tptp.hAPP @t6 tptp.bool @t1922 tptp.arrow_1568854078le_Lin)) % 14.71/15.03 (define @t1924 () (tptp.hBOOL @t1923)) % 14.71/15.03 (define @t1925 () (not @t1924)) % 14.71/15.03 (define @t1926 () (or @t1912 @t1925 @t1921)) % 14.71/15.03 (define @t1927 () (forall @t285 @t1902)) % 14.71/15.03 (define @t1928 () (= @t1920 @t1908)) % 14.71/15.03 (define @t1929 () (or @t1911 @t1925 @t1928)) % 14.71/15.03 (define @t1930 () (tptp.hAPP @t210 @t210 (tptp.hAPP tptp.arrow_2142409994le_alt @t211 @t209 (@quantifiers_skolemize @t233 0)) @t208)) % 14.71/15.03 (define @t1931 () (tptp.hAPP @t210 @t210 @t214 @t1930)) % 14.71/15.03 (define @t1932 () (forall @t359 (not @t358))) % 14.71/15.03 (define @t1933 () (@quantifiers_skolemize @t1932 2)) % 14.71/15.03 (define @t1934 () (tptp.hAPP @t210 @t210 (tptp.hAPP tptp.arrow_2142409994le_alt @t211 @t209 @t1933) @t208)) % 14.71/15.03 (define @t1935 () (@list @t1483)) % 14.71/15.03 (define @t1936 () (tptp.hAPP tptp.nat tptp.bool @t1502 @t1764)) % 14.71/15.03 (define @t1937 () (tptp.hAPP tptp.nat @t142 @t1329 @t1651)) % 14.71/15.03 (define @t1938 () (@list tptp.arrow_2142409994le_alt)) % 14.71/15.03 (define @t1939 () (tptp.size_size @t210)) % 14.71/15.03 (define @t1940 () (tptp.hAPP @t210 tptp.nat @t1939 @t208)) % 14.71/15.03 (define @t1941 () (tptp.hAPP tptp.nat @t142 @t1329 @t1940)) % 14.71/15.03 (define @t1942 () (tptp.hAPP tptp.nat tptp.nat @t1941 @t1542)) % 14.71/15.03 (define @t1943 () (@list tptp.arrow_2142409994le_alt @t1933 @t208)) % 14.71/15.03 (define @t1944 () (tptp.hAPP @t210 tptp.nat @t1939 @t1934)) % 14.71/15.03 (define @t1945 () (tptp.hAPP tptp.nat tptp.bool @t1502 @t1944)) % 14.71/15.03 (define @t1946 () (tptp.hBOOL @t1945)) % 14.71/15.03 (define @t1947 () (tptp.drop tptp.arrow_2142409994le_alt)) % 14.71/15.03 (define @t1948 () (tptp.hAPP tptp.nat @t211 @t1947 @t1542)) % 14.71/15.03 (define @t1949 () (tptp.hAPP @t210 @t210 @t1948 @t1934)) % 14.71/15.03 (define @t1950 () (tptp.take tptp.arrow_2142409994le_alt)) % 14.71/15.03 (define @t1951 () (tptp.hAPP tptp.nat @t211 @t1950 @t1483)) % 14.71/15.03 (define @t1952 () (tptp.hAPP @t210 @t210 @t1951 @t1934)) % 14.71/15.03 (define @t1953 () (tptp.append tptp.arrow_2142409994le_alt)) % 14.71/15.03 (define @t1954 () (tptp.hAPP @t210 @t211 @t1953 @t1952)) % 14.71/15.03 (define @t1955 () (tptp.fun tptp.arrow_2142409994le_alt @t210)) % 14.71/15.03 (define @t1956 () (tptp.hAPP tptp.nat @t1955 (tptp.hAPP @t210 (tptp.fun tptp.nat @t1955) (tptp.list_update tptp.arrow_2142409994le_alt) @t1934) @t1483)) % 14.71/15.03 (define @t1957 () (tptp.hAPP tptp.arrow_2142409994le_alt @t210 @t1956 tptp.b)) % 14.71/15.03 (define @t1958 () (= @t1957 (tptp.hAPP @t210 @t210 @t1954 (tptp.hAPP @t210 @t210 @t214 @t1949)))) % 14.71/15.03 (define @t1959 () (not @t1946)) % 14.71/15.03 (define @t1960 () (or @t1959 @t1958)) % 14.71/15.03 (define @t1961 () (tptp.hAPP @t210 @t210 @t212 @t1949)) % 14.71/15.03 (define @t1962 () (tptp.hAPP @t210 @t210 @t1954 @t1961)) % 14.71/15.03 (define @t1963 () (= (tptp.hAPP tptp.arrow_2142409994le_alt @t210 @t1956 tptp.c) @t1962)) % 14.71/15.03 (define @t1964 () (or @t1959 @t1963)) % 14.71/15.03 (define @t1965 () (tptp.hAPP @t210 @t210 @t216 @t1931)) % 14.71/15.03 (define @t1966 () (@quantifiers_skolemize @t1932 1)) % 14.71/15.03 (define @t1967 () (tptp.hAPP tptp.arrow_2142409994le_alt @t211 @t209 @t1966)) % 14.71/15.03 (define @t1968 () (tptp.hAPP @t210 @t210 @t1967 @t1934)) % 14.71/15.03 (define @t1969 () (tptp.hAPP @t210 @t210 @t214 @t208)) % 14.71/15.03 (define @t1970 () (tptp.hAPP @t210 @t148 @t1881 @t1969)) % 14.71/15.03 (define @t1971 () (tptp.hAPP @t210 tptp.arrow_2142409994le_alt @t1867 @t1969)) % 14.71/15.03 (define @t1972 () (tptp.hAPP tptp.arrow_2142409994le_alt @t1884 @t1883 @t1971)) % 14.71/15.03 (define @t1973 () (tptp.hAPP @t148 tptp.bool @t1972 @t1970)) % 14.71/15.03 (define @t1974 () (tptp.hBOOL @t1973)) % 14.71/15.03 (define @t1975 () (= @t208 @t1969)) % 14.71/15.03 (define @t1976 () (or @t1975 @t1974)) % 14.71/15.03 (define @t1977 () (@var "BOUND_VARIABLE_27172" $$unsorted)) % 14.71/15.03 (define @t1978 () (@var "BOUND_VARIABLE_27174" $$unsorted)) % 14.71/15.03 (define @t1979 () (@var "BOUND_VARIABLE_27168" $$unsorted)) % 14.71/15.03 (define @t1980 () (tptp.drop @t1979)) % 14.71/15.03 (define @t1981 () (tptp.list @t1979)) % 14.71/15.03 (define @t1982 () (tptp.fun @t1981 @t1981)) % 14.71/15.03 (define @t1983 () (@var "BOUND_VARIABLE_27170" $$unsorted)) % 14.71/15.03 (define @t1984 () (= (tptp.hAPP @t1981 @t1981 (tptp.hAPP tptp.nat @t1982 @t1980 @t1978) (tptp.hAPP @t1981 @t1981 (tptp.hAPP @t1979 @t1982 (tptp.cons @t1979) @t1983) @t1977)) (tptp.hAPP @t1981 @t1981 (tptp.hAPP tptp.nat @t1982 @t1980 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t1978) @t1764)) @t1977))) % 14.71/15.03 (define @t1985 () (or (= @t1978 @t1483) @t1984)) % 14.71/15.03 (define @t1986 () (forall (@list @t1979 @t1983 @t1977 @t1978) @t1985)) % 14.71/15.03 (define @t1987 () (@var "BOUND_VARIABLE_27150" $$unsorted)) % 14.71/15.03 (define @t1988 () (@var "BOUND_VARIABLE_27148" $$unsorted)) % 14.71/15.03 (define @t1989 () (@var "BOUND_VARIABLE_27146" $$unsorted)) % 14.71/15.03 (define @t1990 () (tptp.list @t1989)) % 14.71/15.03 (define @t1991 () (tptp.fun @t1990 @t1990)) % 14.71/15.03 (define @t1992 () (tptp.hAPP @t1990 @t1990 (tptp.hAPP @t1989 @t1991 (tptp.cons @t1989) @t1988) @t1987)) % 14.71/15.03 (define @t1993 () (tptp.drop @t1989)) % 14.71/15.03 (define @t1994 () (= @t1992 (tptp.hAPP @t1990 @t1990 (tptp.hAPP tptp.nat @t1991 @t1993 @t1483) @t1992))) % 14.71/15.03 (define @t1995 () (not (= @t1483 @t1483))) % 14.71/15.03 (define @t1996 () (or @t1995 @t1994)) % 14.71/15.03 (define @t1997 () (@list @t1989 @t1988 @t1987)) % 14.71/15.03 (define @t1998 () (@var "BOUND_VARIABLE_27152" $$unsorted)) % 14.71/15.03 (define @t1999 () (= @t1992 (tptp.hAPP @t1990 @t1990 (tptp.hAPP tptp.nat @t1991 @t1993 @t1998) @t1992))) % 14.71/15.03 (define @t2000 () (not (= @t1483 @t1998))) % 14.71/15.03 (define @t2001 () (not (= @t1998 @t1483))) % 14.71/15.03 (define @t2002 () (@list @t1998)) % 14.71/15.03 (define @t2003 () (or @t2000 @t2000 @t1999)) % 14.71/15.03 (define @t2004 () (or @t2000 @t1999)) % 14.71/15.03 (define @t2005 () (forall @t2002 @t2004)) % 14.71/15.03 (define @t2006 () (forall @t1997 @t2005)) % 14.71/15.03 (define @t2007 () (@list @t1989 @t1988 @t1987 @t1998)) % 14.71/15.03 (define @t2008 () (or @t2001 @t1999)) % 14.71/15.03 (define @t2009 () (forall @t2007 @t2008)) % 14.71/15.03 (define @t2010 () (or @t1520 @t1783)) % 14.71/15.03 (define @t2011 () (forall @t1293 @t2010)) % 14.71/15.03 (define @t2012 () (@list @t13 @t369 @t368 @t771)) % 14.71/15.03 (define @t2013 () (= @t371 @t1782)) % 14.71/15.03 (define @t2014 () (or @t1545 @t2013)) % 14.71/15.03 (define @t2015 () (forall @t1293 @t2014)) % 14.71/15.03 (define @t2016 () (and @t2015 @t2011)) % 14.71/15.03 (define @t2017 () (and (=> @t1520 @t2013) @t1784)) % 14.71/15.03 (define @t2018 () (@list tptp.arrow_2142409994le_alt tptp.b @t1930)) % 14.71/15.03 (define @t2019 () (@list tptp.arrow_2142409994le_alt @t1966 @t1934)) % 14.71/15.03 (define @t2020 () (@list tptp.arrow_2142409994le_alt tptp.a @t1931)) % 14.71/15.03 (define @t2021 () (tptp.hBOOL (tptp.hAPP @t148 tptp.bool (tptp.hAPP tptp.arrow_2142409994le_alt @t1884 @t1883 tptp.b) (tptp.hAPP @t210 @t148 @t1881 @t213)))) % 14.71/15.03 (define @t2022 () (not @t2021)) % 14.71/15.03 (define @t2023 () (and @t2022 (tptp.hBOOL (tptp.hAPP @t210 tptp.bool @t218 @t213)))) % 14.71/15.03 (define @t2024 () (= @t1880 @t2023)) % 14.71/15.03 (define @t2025 () (tptp.hAPP @t210 @t210 (tptp.hAPP tptp.nat @t211 @t1947 @t1483) @t1931)) % 14.71/15.03 (define @t2026 () (tptp.hAPP tptp.nat @t211 @t1950 @t1764)) % 14.71/15.03 (define @t2027 () (tptp.hAPP @t210 @t210 @t2026 @t2025)) % 14.71/15.03 (define @t2028 () (tptp.hAPP @t210 @t210 @t1951 @t1931)) % 14.71/15.03 (define @t2029 () (tptp.hAPP @t210 @t211 @t1953 @t2028)) % 14.71/15.03 (define @t2030 () (tptp.hAPP @t210 @t210 @t2029 @t2027)) % 14.71/15.03 (define @t2031 () (tptp.hAPP tptp.nat tptp.nat @t1534 @t1764)) % 14.71/15.03 (define @t2032 () (tptp.hAPP tptp.nat @t211 @t1950 @t2031)) % 14.71/15.03 (define @t2033 () (= (tptp.hAPP @t210 @t210 @t2032 @t1931) @t2030)) % 14.71/15.03 (define @t2034 () (not @t2033)) % 14.71/15.03 (define @t2035 () (not @t1958)) % 14.71/15.03 (define @t2036 () (not @t1963)) % 14.71/15.03 (define @t2037 () (tptp.hAPP tptp.nat @t211 @t1950 @t1542)) % 14.71/15.03 (define @t2038 () (tptp.hAPP @t210 @t210 @t2037 @t1965)) % 14.71/15.03 (define @t2039 () (tptp.tl tptp.arrow_2142409994le_alt)) % 14.71/15.03 (define @t2040 () (tptp.hAPP @t210 @t210 @t2039 @t2038)) % 14.71/15.03 (define @t2041 () (tptp.hAPP @t210 @t210 @t2039 @t1965)) % 14.71/15.03 (define @t2042 () (= (tptp.hAPP @t210 @t210 @t1951 @t2041) @t2040)) % 14.71/15.03 (define @t2043 () (not @t2042)) % 14.71/15.03 (define @t2044 () (tptp.hAPP @t210 @t210 @t2037 @t1968)) % 14.71/15.03 (define @t2045 () (tptp.hAPP @t210 @t210 @t2039 @t2044)) % 14.71/15.03 (define @t2046 () (tptp.hAPP @t210 @t210 @t2039 @t1968)) % 14.71/15.03 (define @t2047 () (= (tptp.hAPP @t210 @t210 @t1951 @t2046) @t2045)) % 14.71/15.03 (define @t2048 () (not @t2047)) % 14.71/15.03 (define @t2049 () (not @t1974)) % 14.71/15.03 (define @t2050 () (tptp.hAPP @t210 @t210 @t216 @t208)) % 14.71/15.03 (define @t2051 () (= @t208 (tptp.hAPP @t210 @t210 @t2039 @t2050))) % 14.71/15.03 (define @t2052 () (not @t2051)) % 14.71/15.03 (define @t2053 () (tptp.hAPP @t210 @t210 @t1967 @t208)) % 14.71/15.03 (define @t2054 () (= @t208 (tptp.hAPP @t210 @t210 @t2039 @t2053))) % 14.71/15.03 (define @t2055 () (not @t2054)) % 14.71/15.03 (define @t2056 () (= @t213 (tptp.hAPP @t210 @t210 (tptp.hAPP @t210 @t211 @t1953 @t208) @t213))) % 14.71/15.03 (define @t2057 () (not @t2056)) % 14.71/15.03 (define @t2058 () (= @t1931 @t2025)) % 14.71/15.03 (define @t2059 () (not @t2058)) % 14.71/15.03 (define @t2060 () (= @t208 (tptp.hAPP @t210 @t210 (tptp.hAPP tptp.nat @t211 @t1947 @t1764) @t1934))) % 14.71/15.03 (define @t2061 () (not @t2060)) % 14.71/15.03 (define @t2062 () (= @t2053 (tptp.hAPP @t210 @t210 @t2026 @t1968))) % 14.71/15.03 (define @t2063 () (not @t2062)) % 14.71/15.03 (define @t2064 () (= @t2050 (tptp.hAPP @t210 @t210 @t2026 @t1965))) % 14.71/15.03 (define @t2065 () (not @t2064)) % 14.71/15.03 (define @t2066 () (tptp.hAPP @t210 @t210 @t2026 @t1931)) % 14.71/15.03 (define @t2067 () (= @t1969 @t2066)) % 14.71/15.03 (define @t2068 () (not @t2067)) % 14.71/15.03 (define @t2069 () (= @t2050 (tptp.hAPP @t210 @t210 @t2026 @t217))) % 14.71/15.03 (define @t2070 () (not @t2069)) % 14.71/15.03 (define @t2071 () (tptp.hAPP tptp.nat @t142 @t1500 @t1542)) % 14.71/15.03 (define @t2072 () (= @t1483 (tptp.hAPP tptp.nat tptp.nat @t2071 @t1764))) % 14.71/15.03 (define @t2073 () (not @t2072)) % 14.71/15.03 (define @t2074 () (= @t1542 @t2031)) % 14.71/15.03 (define @t2075 () (not @t2074)) % 14.71/15.03 (define @t2076 () (= @t1944 @t1942)) % 14.71/15.03 (define @t2077 () (not @t2076)) % 14.71/15.03 (define @t2078 () (tptp.hAPP @t210 tptp.nat @t1939 @t213)) % 14.71/15.03 (define @t2079 () (= @t2078 @t1942)) % 14.71/15.03 (define @t2080 () (not @t2079)) % 14.71/15.03 (define @t2081 () (tptp.hAPP tptp.nat tptp.arrow_2142409994le_alt (tptp.hAPP @t210 (tptp.fun tptp.nat tptp.arrow_2142409994le_alt) (tptp.nth tptp.arrow_2142409994le_alt) @t1931) @t1483)) % 14.71/15.03 (define @t2082 () (= @t203 @t2081)) % 14.71/15.03 (define @t2083 () (not @t2082)) % 14.71/15.03 (define @t2084 () (= @t1483 @t1940)) % 14.71/15.03 (define @t2085 () (not @t2084)) % 14.71/15.03 (define @t2086 () (tptp.hAPP @t210 @t210 (tptp.rev tptp.arrow_2142409994le_alt) @t208)) % 14.71/15.03 (define @t2087 () (= @t208 @t2086)) % 14.71/15.03 (define @t2088 () (not @t2087)) % 14.71/15.03 (define @t2089 () (= @t1934 @t2046)) % 14.71/15.03 (define @t2090 () (not @t2089)) % 14.71/15.03 (define @t2091 () (= @t1931 @t2041)) % 14.71/15.03 (define @t2092 () (not @t2091)) % 14.71/15.03 (define @t2093 () (= @t203 @t1971)) % 14.71/15.03 (define @t2094 () (not @t2093)) % 14.71/15.03 (define @t2095 () (not @t1911)) % 14.71/15.03 (define @t2096 () (= @t1542 @t1764)) % 14.71/15.03 (define @t2097 () (not @t2096)) % 14.71/15.03 (define @t2098 () (= @t1483 @t1651)) % 14.71/15.03 (define @t2099 () (not @t2098)) % 14.71/15.03 (define @t2100 () (= tptp.c @t204)) % 14.71/15.03 (define @t2101 () (not @t2100)) % 14.71/15.03 (define @t2102 () (= tptp.b @t203)) % 14.71/15.03 (define @t2103 () (not @t2102)) % 14.71/15.03 (define @t2104 () (= true false)) % 14.71/15.03 (define @t2105 () (tptp.hAPP tptp.nat tptp.nat @t1534 @t1542)) % 14.71/15.03 (define @t2106 () (tptp.hAPP tptp.nat @t142 @t1500 @t2078)) % 14.71/15.03 (define @t2107 () (tptp.hAPP tptp.nat tptp.nat @t2106 @t1764)) % 14.71/15.03 (define @t2108 () (tptp.hAPP tptp.nat @t142 @t1500 @t1944)) % 14.71/15.03 (define @t2109 () (tptp.hAPP tptp.nat tptp.nat @t2108 @t1764)) % 14.71/15.03 (define @t2110 () (tptp.hAPP tptp.nat @t211 @t1950 @t2109)) % 14.71/15.03 (define @t2111 () (tptp.hAPP @t210 @t211 @t1953 @t2086)) % 14.71/15.03 (define @t2112 () (tptp.hAPP tptp.arrow_2142409994le_alt @t211 @t209 @t2081)) % 14.71/15.03 (define @t2113 () (tptp.hAPP @t210 @t210 @t2112 @t208)) % 14.71/15.03 (define @t2114 () (tptp.hAPP @t210 @t210 @t2037 @t217)) % 14.71/15.03 (define @t2115 () (tptp.hAPP tptp.nat @t142 @t1500 @t1764)) % 14.71/15.03 (define @t2116 () (tptp.hAPP tptp.nat tptp.nat @t2115 @t1764)) % 14.71/15.03 (define @t2117 () (tptp.hAPP tptp.nat @t211 @t1950 @t2116)) % 14.71/15.03 (define @t2118 () (and @t2022 @t2102 @t2093 @t2056 @t2087 @t2054 @t2062 @t2096 @t2074 @t2047 @t2072 @t2098 @t2084 @t2079 @t2076 @t2089 @t2060 @t1963 @t2100 @t1911 @t1958 @t2051 @t2069 @t2064 @t2042 @t2091 @t2082 @t2067 @t2058 @t2033 @t1974)) % 14.71/15.03 (define @t2119 () (not @t391)) % 14.71/15.03 (define @t2120 () (tptp.hAPP @t7 tptp.bool @t207 @t498)) % 14.71/15.03 (define @t2121 () (tptp.hBOOL @t2120)) % 14.71/15.03 (define @t2122 () (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP tptp.arrow_1998540521e_indi (tptp.fun @t11 tptp.bool) (tptp.member tptp.arrow_1998540521e_indi) @t1903) @t497))) % 14.71/15.03 (define @t2123 () (not @t2122)) % 14.71/15.03 (define @t2124 () (tptp.hBOOL (tptp.hAPP @t6 tptp.bool @t1922 (tptp.hAPP tptp.arrow_1998540521e_indi @t6 @t496 @t1903)))) % 14.71/15.03 (define @t2125 () (not @t2121)) % 14.71/15.03 (define @t2126 () (or @t2125 @t2124 @t2123)) % 14.71/15.03 (define @t2127 () (= @t1905 @t1920)) % 14.71/15.03 (define @t2128 () (not @t1908)) % 14.71/15.03 (define @t2129 () (not @t1928)) % 14.71/15.03 (define @t2130 () (not @t1920)) % 14.71/15.03 (define @t2131 () (not @t1905)) % 14.71/15.03 (define @t2132 () (not @t1896)) % 14.71/15.03 (define @t2133 () (not @t1873)) % 14.71/15.03 (define @t2134 () (= @t204 @t1869)) % 14.71/15.03 (define @t2135 () (not @t2134)) % 14.71/15.03 (define @t2136 () (= tptp.a @t202)) % 14.71/15.03 (define @t2137 () (not @t2136)) % 14.71/15.03 (define @t2138 () (tptp.hAPP tptp.arrow_2142409994le_alt @t1884 @t1883 tptp.c)) % 14.71/15.03 (define @t2139 () (and @t1896 @t1873 @t2134 @t1886 @t1906 @t2136 @t2100)) % 14.71/15.03 (assume @p1 (= (tptp.ti @t5 tptp.arrow_1541970350le_IIA) tptp.arrow_1541970350le_IIA)) % 14.71/15.03 (assume @p2 (= (tptp.ti @t6 tptp.arrow_1568854078le_Lin) tptp.arrow_1568854078le_Lin)) % 14.71/15.03 (assume @p3 (= (tptp.ti @t7 tptp.arrow_301600364e_Prof) tptp.arrow_301600364e_Prof)) % 14.71/15.03 (assume @p4 (= (tptp.ti @t10 tptp.arrow_357225482_above) tptp.arrow_357225482_above)) % 14.71/15.03 (assume @p5 (= (tptp.ti @t10 tptp.arrow_1665824030_below) tptp.arrow_1665824030_below)) % 14.71/15.03 (assume @p6 (= (tptp.ti (tptp.fun @t4 @t11) tptp.arrow_708804735ctator) tptp.arrow_708804735ctator)) % 14.71/15.03 (assume @p7 (= (tptp.ti @t12 tptp.arrow_1622070166_mkbot) tptp.arrow_1622070166_mkbot)) % 14.71/15.03 (assume @p8 (= (tptp.ti @t12 tptp.arrow_1770777252_mktop) tptp.arrow_1770777252_mktop)) % 14.71/15.03 (assume @p9 (= (tptp.ti @t5 tptp.arrow_1066301521nimity) tptp.arrow_1066301521nimity)) % 14.71/15.03 (assume @p10 (forall @t21 (= (tptp.ti (tptp.fun @t20 @t19) @t16) @t16))) % 14.71/15.03 (assume @p11 (forall @t25 (= (tptp.ti (tptp.fun @t24 @t23) @t22) @t22))) % 14.71/15.03 (assume @p12 (forall @t28 (= (tptp.ti @t27 @t26) @t26))) % 14.71/15.03 (assume @p13 (forall @t31 (= (tptp.ti (tptp.fun @t13 @t30) @t29) @t29))) % 14.71/15.03 (assume @p14 (forall @t25 (= (tptp.ti (tptp.fun @t24 @t19) @t32) @t32))) % 14.71/15.03 (assume @p15 (forall @t31 (= (tptp.ti @t38 @t33) @t33))) % 14.71/15.03 (assume @p16 (forall @t31 (= (tptp.ti (tptp.fun @t42 @t41) @t39) @t39))) % 14.71/15.03 (assume @p17 (forall @t28 (=> @t45 (= (tptp.ti @t44 @t43) @t43)))) % 14.71/15.03 (assume @p18 (forall @t28 (=> @t47 (= (tptp.ti @t13 @t46) @t46)))) % 14.71/15.03 (assume @p19 (forall @t28 (=> @t50 @t49))) % 14.71/15.03 (assume @p20 (forall @t28 (=> @t51 @t49))) % 14.71/15.03 (assume @p21 (forall @t28 (=> @t52 @t49))) % 14.71/15.03 (assume @p22 (forall @t28 (=> @t54 (= (tptp.ti @t13 @t53) @t53)))) % 14.71/15.03 (assume @p23 (forall @t28 (=> @t57 (= (tptp.ti @t56 @t55) @t55)))) % 14.71/15.03 (assume @p24 (forall @t28 (= (tptp.ti @t13 @t58) @t58))) % 14.71/15.03 (assume @p25 (forall @t28 (= (tptp.ti (tptp.fun tptp.bool @t44) @t59) @t59))) % 14.71/15.03 (assume @p26 (forall @t28 (= (tptp.ti @t63 @t60) @t60))) % 14.71/15.03 (assume @p27 (forall @t28 (= (tptp.ti @t62 @t64) @t64))) % 14.71/15.03 (assume @p28 (forall @t28 (= (tptp.ti @t66 @t65) @t65))) % 14.71/15.03 (assume @p29 (forall @t28 (= (tptp.ti @t68 @t67) @t67))) % 14.71/15.03 (assume @p30 (forall @t28 (= (tptp.ti @t70 @t69) @t69))) % 14.71/15.03 (assume @p31 (forall @t28 (= (tptp.ti @t72 @t71) @t71))) % 14.71/15.03 (assume @p32 (forall @t28 (= (tptp.ti @t74 @t73) @t73))) % 14.71/15.03 (assume @p33 (forall @t28 (= (tptp.ti @t72 @t75) @t75))) % 14.71/15.03 (assume @p34 (forall @t28 (= (tptp.ti @t81 @t76) @t76))) % 14.71/15.03 (assume @p35 (forall @t28 (= (tptp.ti @t81 @t82) @t82))) % 14.71/15.03 (assume @p36 (forall @t28 (= (tptp.ti (tptp.fun @t80 @t84) @t83) @t83))) % 14.71/15.03 (assume @p37 (forall @t28 (= (tptp.ti @t81 @t85) @t85))) % 14.71/15.03 (assume @p38 (forall @t28 (=> @t87 (= (tptp.ti @t66 @t86) @t86)))) % 14.71/15.03 (assume @p39 (forall @t28 (= (tptp.ti @t74 @t88) @t88))) % 14.71/15.03 (assume @p40 (forall @t28 (= (tptp.ti @t61 @t89) @t89))) % 14.71/15.03 (assume @p41 (forall @t31 (= (tptp.ti (tptp.fun @t13 @t94) @t90) @t90))) % 14.71/15.03 (assume @p42 (forall @t31 (= (tptp.ti (tptp.fun @t13 @t98) @t95) @t95))) % 14.71/15.03 (assume @p43 (forall @t28 (= (tptp.ti (tptp.fun @t101 @t100) @t99) @t99))) % 14.71/15.03 (assume @p44 (forall @t31 (= (tptp.ti (tptp.fun @t35 @t104) @t102) @t102))) % 14.71/15.03 (assume @p45 (forall @t28 (= (tptp.ti (tptp.fun @t61 @t107) @t105) @t105))) % 14.71/15.03 (assume @p46 (forall @t28 (= (tptp.ti @t81 @t108) @t108))) % 14.71/15.03 (assume @p47 (forall @t28 (= (tptp.ti @t81 @t109) @t109))) % 14.71/15.03 (assume @p48 (forall @t28 (= (tptp.ti (tptp.fun @t56 @t111) @t110) @t110))) % 14.71/15.03 (assume @p49 (forall @t28 (= (tptp.ti (tptp.fun @t113 @t66) @t112) @t112))) % 14.71/15.03 (assume @p50 (forall @t117 (= (tptp.ti (tptp.fun @t116 @t115) @t114) @t114))) % 14.71/15.03 (assume @p51 (forall @t28 (= (tptp.ti (tptp.fun @t61 @t119) @t118) @t118))) % 14.71/15.03 (assume @p52 (forall @t121 (= (tptp.ti @t103 @t120) @t120))) % 14.71/15.03 (assume @p53 (forall @t28 (= (tptp.ti (tptp.fun @t42 @t123) @t122) @t122))) % 14.71/15.03 (assume @p54 (forall @t28 (= (tptp.ti @t107 @t124) @t124))) % 14.71/15.03 (assume @p55 (forall @t28 (= (tptp.ti @t62 @t125) @t125))) % 14.71/15.03 (assume @p56 (forall @t28 (= (tptp.ti @t62 @t126) @t126))) % 14.71/15.03 (assume @p57 (forall @t28 (= (tptp.ti @t128 @t127) @t127))) % 14.71/15.03 (assume @p58 (forall @t28 (= (tptp.ti (tptp.fun @t42 @t130) @t129) @t129))) % 14.71/15.03 (assume @p59 (forall @t28 (= (tptp.ti @t63 @t131) @t131))) % 14.71/15.03 (assume @p60 (forall @t28 (= (tptp.ti (tptp.fun @t61 @t134) @t132) @t132))) % 14.71/15.03 (assume @p61 (forall @t28 (= (tptp.ti @t68 @t135) @t135))) % 14.71/15.03 (assume @p62 (forall @t28 (= (tptp.ti @t70 @t136) @t136))) % 14.71/15.03 (assume @p63 (forall @t28 (= (tptp.ti @t62 @t137) @t137))) % 14.71/15.03 (assume @p64 (forall @t31 (= (tptp.ti @t141 @t138) @t138))) % 14.71/15.03 (assume @p65 (= (tptp.ti @t142 tptp.suc) tptp.suc)) % 14.71/15.03 (assume @p66 (forall @t28 (= (tptp.ti (tptp.fun @t13 @t144) @t143) @t143))) % 14.71/15.03 (assume @p67 (= (tptp.ti @t142 tptp.nat_size) tptp.nat_size)) % 14.71/15.03 (assume @p68 (= (tptp.ti @t142 @t145) @t145)) % 14.71/15.03 (assume @p69 (forall @t28 (= (tptp.ti @t100 @t146) @t146))) % 14.71/15.03 (assume @p70 (= (tptp.ti (tptp.fun @t148 @t6) @t147) @t147)) % 14.71/15.03 (assume @p71 (forall @t28 (=> @t150 (= (tptp.ti (tptp.fun @t56 @t44) @t149) @t149)))) % 14.71/15.03 (assume @p72 (forall @t28 (=> @t150 (= (tptp.ti @t56 @t151) @t151)))) % 14.71/15.03 (assume @p73 (forall @t121 (=> @t153 (= (tptp.ti (tptp.fun @t15 @t34) @t152) @t152)))) % 14.71/15.03 (assume @p74 (forall @t28 (=> @t150 (= (tptp.ti @t44 @t154) @t154)))) % 14.71/15.03 (assume @p75 (forall @t28 (=> @t156 (= (tptp.ti @t13 @t155) @t155)))) % 14.71/15.03 (assume @p76 (forall @t28 (= (tptp.ti (tptp.fun @t56 tptp.bool) @t157) @t157))) % 14.71/15.03 (assume @p77 (forall @t31 (= (tptp.ti @t160 @t158) @t158))) % 14.71/15.03 (assume @p78 (forall @t25 (= (tptp.ti (tptp.fun @t162 @t24) @t161) @t161))) % 14.71/15.03 (assume @p79 (forall @t21 (= (tptp.ti @t168 @t163) @t163))) % 14.71/15.03 (assume @p80 (forall (@list @t13 @t14 @t15 @t169) (= (tptp.ti (tptp.fun @t17 @t174) @t170) @t170))) % 14.71/15.03 (assume @p81 (forall @t21 (= (tptp.ti @t168 @t175) @t175))) % 14.71/15.03 (assume @p82 (forall @t21 (= (tptp.ti @t168 @t176) @t176))) % 14.71/15.03 (assume @p83 (forall @t28 (= (tptp.ti (tptp.fun @t42 @t178) @t177) @t177))) % 14.71/15.03 (assume @p84 (forall @t28 (= (tptp.ti @t180 @t179) @t179))) % 14.71/15.03 (assume @p85 (forall @t28 (= (tptp.ti @t182 @t181) @t181))) % 14.71/15.03 (assume @p86 (forall @t31 (= (tptp.ti (tptp.fun @t80 @t188) @t183) @t183))) % 14.71/15.03 (assume @p87 (forall @t28 (= (tptp.ti (tptp.fun @t101 @t80) @t189) @t189))) % 14.71/15.03 (assume @p88 (forall @t28 (= (tptp.ti (tptp.fun @t101 @t182) @t190) @t190))) % 14.71/15.03 (assume @p89 (forall @t28 (= (tptp.ti @t192 @t191) @t191))) % 14.71/15.03 (assume @p90 (= (tptp.ti tptp.bool tptp.fFalse) tptp.fFalse)) % 14.71/15.03 (assume @p91 (= (tptp.ti @t193 tptp.fNot) tptp.fNot)) % 14.71/15.03 (assume @p92 (= (tptp.ti tptp.bool tptp.fTrue) tptp.fTrue)) % 14.71/15.03 (assume @p93 (= (tptp.ti @t194 tptp.fconj) tptp.fconj)) % 14.71/15.03 (assume @p94 (= (tptp.ti @t194 tptp.fdisj) tptp.fdisj)) % 14.71/15.03 (assume @p95 (forall @t28 (= (tptp.ti @t56 @t195) @t195))) % 14.71/15.03 (assume @p96 (forall @t199 (= (tptp.hAPP @t13 @t14 (tptp.ti @t17 @t197) @t196) @t198))) % 14.71/15.03 (assume @p97 (forall @t199 (= (tptp.hAPP @t13 @t14 @t197 (tptp.ti @t13 @t196)) @t198))) % 14.71/15.03 (assume @p98 (forall (@list @t14 @t13 @t197 @t196) (= (tptp.ti @t14 @t198) @t198))) % 14.71/15.03 (assume @p99 (forall (@list @t197) (= (tptp.hBOOL (tptp.ti tptp.bool @t197)) (tptp.hBOOL @t197)))) % 14.71/15.03 (assume @p100 (forall @t121 (= (tptp.ti (tptp.fun @t15 @t201) @t200) @t200))) % 14.71/15.03 (assume @p101 (= (tptp.ti @t4 tptp.f) tptp.f)) % 14.71/15.03 (assume @p102 (= (tptp.ti @t3 tptp.p_1) tptp.p_1)) % 14.71/15.03 (assume @p103 (= (tptp.ti @t3 tptp.p) tptp.p)) % 14.71/15.03 (assume @p104 (= @t202 tptp.a)) % 14.71/15.03 (assume @p105 (= @t203 tptp.b)) % 14.71/15.03 (assume @p106 (= @t204 tptp.c)) % 14.71/15.03 (assume @p107 (tptp.hBOOL (tptp.hAPP @t7 tptp.bool @t207 tptp.arrow_301600364e_Prof))) % 14.71/15.03 (assume @p108 (tptp.hBOOL (tptp.hAPP @t4 tptp.bool tptp.arrow_1541970350le_IIA tptp.f))) % 14.71/15.03 (assume @p109 (tptp.hBOOL (tptp.hAPP @t4 tptp.bool tptp.arrow_1066301521nimity tptp.f))) % 14.71/15.03 (assume @p110 (not (= tptp.a tptp.b))) % 14.71/15.03 (assume @p111 @t219) % 14.71/15.03 (assume @p112 (forall @t229 (= @t228 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t224 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t223 tptp.a)) (tptp.hAPP tptp.arrow_1998540521e_indi @t2 tptp.p_1 @t220)))))) % 14.71/15.03 (assume @p113 (not @t233)) % 14.71/15.03 (assume @p114 (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t206 @t205 @t242) tptp.arrow_301600364e_Prof))) % 14.71/15.03 (assume @p115 (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t206 @t205 (tptp.hAPP tptp.arrow_2142409994le_alt @t3 (tptp.hAPP @t237 @t240 @t239 (tptp.hAPP tptp.arrow_2142409994le_alt @t237 (tptp.hAPP @t234 @t238 @t236 (tptp.hAPP @t3 @t234 @t235 @t242)) tptp.a)) tptp.c)) tptp.arrow_301600364e_Prof))) % 14.71/15.03 (assume @p116 (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t206 @t205 @t241) tptp.arrow_301600364e_Prof))) % 14.71/15.03 (assume @p117 (forall @t259 (= (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t247 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 @t258 @t249))) (and @t257 (=> @t252 @t255) (=> @t253 @t248))))) % 14.71/15.03 (assume @p118 (forall @t259 (= (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t247 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 @t260 @t249))) (and @t253 (=> @t256 @t255) (=> @t257 @t248))))) % 14.71/15.03 (assume @p119 @t286) % 14.71/15.03 (assume @p120 (forall @t296 (= (forall @t295 @t294) (forall @t292 @t291)))) % 14.71/15.03 (assume @p121 (forall (@list @t15 @t13 @t261 @t265 @t298 @t297) (= (= @t302 @t301) (and @t300 (= (tptp.ti @t15 @t265) (tptp.ti @t15 @t297)))))) % 14.71/15.03 (assume @p122 (forall (@list @t15 @t13 @t306 @t304 @t305 @t303) (=> (= (tptp.hAPP @t15 @t36 (tptp.hAPP @t13 @t159 @t158 @t306) @t304) (tptp.hAPP @t15 @t36 (tptp.hAPP @t13 @t159 @t158 @t305) @t303)) (not (=> (= @t307 (tptp.ti @t13 @t305)) (not (= (tptp.ti @t15 @t304) (tptp.ti @t15 @t303)))))))) % 14.71/15.03 (assume @p123 (forall (@list @t15 @t13 @t308 @t245 @t244) (= (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t34 (tptp.hAPP @t37 @t35 @t33 @t308) @t245) @t244)) (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t312 @t308))))) % 14.71/15.03 (assume @p124 (forall @t313 (=> @t255 (=> @t281 (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t280 @t279 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 (tptp.hAPP tptp.arrow_2142409994le_alt @t8 @t276 @t245) @t244)) tptp.arrow_1568854078le_Lin)))))) % 14.71/15.03 (assume @p125 (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t206 @t205 tptp.p_1) tptp.arrow_301600364e_Prof))) % 14.71/15.03 (assume @p126 (forall @t328 (=> @t284 (=> @t327 (=> @t326 (=> @t324 (=> @t322 (=> @t321 (=> @t320 (=> @t319 @t316)))))))))) % 14.71/15.03 (assume @p127 (forall @t328 (=> @t284 (=> @t327 (=> @t326 (=> @t324 (=> @t322 (=> @t321 (=> @t320 (= @t319 @t316)))))))))) % 14.71/15.03 (assume @p128 (tptp.hBOOL (tptp.hAPP @t5 tptp.bool (tptp.hAPP @t4 @t332 @t331 tptp.f) @t330))) % 14.71/15.03 (assume @p129 (forall (@list @t243) (=> @t281 (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t206 @t205 (tptp.hAPP @t2 @t3 (tptp.combk @t2 tptp.arrow_1998540521e_indi) @t243)) tptp.arrow_301600364e_Prof))))) % 14.71/15.03 (assume @p130 (forall @t333 (=> @t281 (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t280 @t279 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 @t258 @t245)) tptp.arrow_1568854078le_Lin))))) % 14.71/15.03 (assume @p131 (forall @t333 (=> @t281 (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t280 @t279 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 @t260 @t245)) tptp.arrow_1568854078le_Lin))))) % 14.71/15.03 (assume @p132 (forall (@list @t261 @t265 @t243) (=> @t281 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t318 @t243)) (not (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t224 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t266 @t261)) @t243))))))) % 14.71/15.03 (assume @p133 (forall (@list @t245 @t244 @t243) (=> @t281 (=> @t255 (= (not @t248) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t224 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 (tptp.hAPP tptp.arrow_2142409994le_alt @t222 @t221 @t244) @t245)) @t243))))))) % 14.71/15.03 (assume @p134 (forall @t334 (=> (not (= (tptp.ti tptp.arrow_2142409994le_alt @t306) (tptp.ti tptp.arrow_2142409994le_alt @t304))) (exists @t232 (tptp.hBOOL (tptp.hAPP @t210 tptp.bool @t218 (tptp.hAPP @t210 @t210 (tptp.hAPP tptp.arrow_2142409994le_alt @t211 @t209 @t306) (tptp.hAPP @t210 @t210 (tptp.hAPP tptp.arrow_2142409994le_alt @t211 @t209 @t304) @t231)))))))) % 14.71/15.03 (assume @p135 (forall @t345 (= (tptp.hBOOL (tptp.hAPP @t4 tptp.bool tptp.arrow_1541970350le_IIA @t336)) (forall @t344 (=> @t343 (forall @t342 (=> (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t206 @t205 @t335) tptp.arrow_301600364e_Prof)) (forall @t292 (=> (forall @t229 (= @t341 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t337 (tptp.hAPP tptp.arrow_1998540521e_indi @t2 @t335 @t220))))) (= @t340 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t337 (tptp.hAPP @t3 @t2 @t336 @t335))))))))))))) % 14.71/15.03 (assume @p136 (forall @t345 (= (tptp.hBOOL (tptp.hAPP @t4 tptp.bool tptp.arrow_1066301521nimity @t336)) (forall @t344 (=> @t343 (forall @t292 (=> (forall @t229 @t341) @t340))))))) % 14.71/15.03 (assume @p137 (forall @t346 (=> @t284 (exists @t344 (and (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t280 @t279 @t338) tptp.arrow_1568854078le_Lin)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t318 @t338))))))) % 14.71/15.03 (assume @p138 (forall @t285 (=> @t284 (=> @t281 (= (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t247 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 (tptp.hAPP tptp.arrow_2142409994le_alt @t8 @t348 @t261) @t265))) (and @t255 (=> @t347 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t224 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t317 @t244)) @t243))) (=> (not @t347) (and (=> @t269 (or @t263 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t224 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t246 @t261)) @t243)))) (=> (not @t269) @t248))))))))) % 14.71/15.03 (assume @p139 (forall @t354 (= (tptp.hAPP @t164 @t13 (tptp.hAPP @t167 @t165 @t176 @t349) @t353) @t350))) % 14.71/15.03 (assume @p140 (forall @t28 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t65 @t89)))) % 14.71/15.03 (assume @p141 (forall @t357 (not (= @t89 @t356)))) % 14.71/15.03 (assume @p142 (forall @t357 (not (= @t356 @t89)))) % 14.71/15.03 (assume @p143 (exists @t359 @t358)) % 14.71/15.03 (assume @p144 (exists (@list @t360) (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t280 @t279 @t360) tptp.arrow_1568854078le_Lin)))) % 14.71/15.03 (assume @p145 (forall (@list @t336 @t361) (= @t363 (forall @t344 (=> @t343 (= @t339 @t362)))))) % 14.71/15.03 (assume @p146 (forall (@list @t13 @t261 @t365 @t298 @t364) (= (= @t367 (tptp.hAPP @t61 @t61 (tptp.hAPP @t13 @t62 @t88 @t298) @t364)) (and @t300 (= @t365 @t364))))) % 14.71/15.03 (assume @p147 (forall @t372 (not (= @t371 @t368)))) % 14.71/15.03 (assume @p148 (forall @t373 (not (= @t368 @t371)))) % 14.71/15.03 (assume @p149 (forall @t313 (=> @t255 (=> @t281 (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t280 @t279 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 (tptp.hAPP tptp.arrow_2142409994le_alt @t8 @t348 @t245) @t244)) tptp.arrow_1568854078le_Lin)))))) % 14.71/15.03 (assume @p150 (forall (@list @t361 @t336) (=> (tptp.hBOOL (tptp.hAPP @t5 tptp.bool (tptp.hAPP @t4 @t332 @t331 @t336) @t330)) (=> (forall @t344 (=> @t343 (forall @t292 (=> (not (= (tptp.ti tptp.arrow_2142409994le_alt @t288) (tptp.ti tptp.arrow_2142409994le_alt @t287))) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t337 @t362)) @t340))))) @t363)))) % 14.71/15.03 (assume @p151 @t393) % 14.71/15.03 (assume @p152 (forall (@list @t13 @t396) (=> (not (= @t396 @t89)) (not (forall (@list @t288 @t394) (not (= @t396 (tptp.hAPP @t61 @t61 @t395 @t394)))))))) % 14.71/15.03 (assume @p153 (forall @t406 (= @t405 (exists @t403 @t402)))) % 14.71/15.03 (assume @p154 (forall @t408 (tptp.hBOOL (tptp.hAPP @t407 tptp.bool (tptp.hAPP @t27 (tptp.fun @t407 tptp.bool) (tptp.member @t27) @t26) (tptp.hAPP @t56 @t407 (tptp.hAPP @t42 (tptp.fun @t56 @t407) (tptp.pi @t13 @t13) @t374) (tptp.hAPP @t42 @t56 (tptp.combk @t42 @t13) @t374)))))) % 14.71/15.03 (assume @p155 (forall @t392 (=> @t410 (=> @t377 (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t382 @t379)))))) % 14.71/15.03 (assume @p156 (forall (@list @t13 @t412 @t411) (= (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t131 @t413) @t89) @t413))) % 14.71/15.03 (assume @p157 (forall @t418 (= (tptp.hAPP @t91 @t13 @t417 @t415) @t414))) % 14.71/15.03 (assume @p158 (forall @t422 (= (tptp.hAPP @t91 @t13 @t417 @t421) (tptp.hAPP @t91 @t13 (tptp.hAPP @t15 @t92 @t416 @t261) @t365)))) % 14.71/15.03 (assume @p159 (forall @t296 (= (exists @t295 @t294) (exists @t292 @t291)))) % 14.71/15.03 (assume @p160 (forall (@list @t13 @t15 @t14 @t169 @t424 @t423 @t245 @t290) (=> (forall @t434 (tptp.hBOOL (tptp.hAPP @t429 tptp.bool @t290 @t433))) (tptp.hBOOL (tptp.hAPP @t429 tptp.bool @t290 @t245))))) % 14.71/15.03 (assume @p161 (forall (@list @t13 @t369 @t368 @t396 @t435) (= (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t131 @t371) @t439) (tptp.hAPP @t61 @t61 @t370 (tptp.hAPP @t61 @t61 @t438 @t437))))) % 14.71/15.03 (assume @p162 (forall @t440 (= (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t131 @t89) @t435) @t435))) % 14.71/15.03 (assume @p163 (forall @t441 (= (tptp.hAPP @t61 @t61 @t436 @t89) @t368))) % 14.71/15.03 (assume @p164 (forall @t392 (=> @t391 (=> @t377 @t383)))) % 14.71/15.03 (assume @p165 (forall (@list @t13 @t15 @t14 @t169 @t424 @t423 @t396) (not (forall @t434 (not (= (tptp.ti @t429 @t396) @t433)))))) % 14.71/15.03 (assume @p166 (forall (@list @t13 @t15 @t14 @t169 @t424 @t396) (not (forall @t447 (not (= (tptp.ti @t445 @t396) @t446)))))) % 14.71/15.03 (assume @p167 (forall (@list @t13 @t15 @t14 @t169 @t424 @t245 @t290) (=> (forall @t447 (tptp.hBOOL (tptp.hAPP @t445 tptp.bool @t290 @t446))) (tptp.hBOOL (tptp.hAPP @t445 tptp.bool @t290 @t245))))) % 14.71/15.03 (assume @p168 (forall @t453 (=> (forall @t344 (=> @t452 (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t450 @t448)))) @t391))) % 14.71/15.03 (assume @p169 (forall (@list @t13 @t15 @t14 @t169 @t396) (not (forall @t459 (not (= (tptp.ti @t457 @t396) @t458)))))) % 14.71/15.03 (assume @p170 (forall (@list @t13 @t15 @t14 @t169 @t245 @t290) (=> (forall @t459 (tptp.hBOOL (tptp.hAPP @t457 tptp.bool @t290 @t458))) (tptp.hBOOL (tptp.hAPP @t457 tptp.bool @t290 @t245))))) % 14.71/15.03 (assume @p171 (forall (@list @t13 @t15 @t14 @t396) (not (forall @t359 (not (= (tptp.ti @t460 @t396) @t461)))))) % 14.71/15.03 (assume @p172 (forall (@list @t13 @t15 @t14 @t245 @t290) (=> (forall @t359 (tptp.hBOOL (tptp.hAPP @t460 tptp.bool @t290 @t461))) (tptp.hBOOL (tptp.hAPP @t460 tptp.bool @t290 @t245))))) % 14.71/15.03 (assume @p173 (forall @t453 (=> (forall @t344 (=> @t452 (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t450 @t379)))) @t410))) % 14.71/15.03 (assume @p174 (forall (@list @t15 @t13 @t379 @t380 @t462 @t374) (=> (forall @t464 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t13 @t192 @t375 @t463) @t374)) (= (tptp.hAPP @t13 @t15 @t380 @t463) (tptp.hAPP @t13 @t15 @t462 @t463)))) (= @t391 (tptp.hBOOL (tptp.hAPP @t40 tptp.bool (tptp.hAPP @t18 @t389 @t388 @t462) @t387)))))) % 14.71/15.03 (assume @p175 (forall (@list @t13 @t15 @t467) (not (forall @t468 (not (= (tptp.ti @t36 @t467) @t466)))))) % 14.71/15.03 (assume @p176 (forall (@list @t13 @t15 @t396) (not (forall @t292 (not (= (tptp.ti @t36 @t396) @t289)))))) % 14.71/15.03 (assume @p177 (forall (@list @t13 @t15 @t469 @t308) (= (forall (@list @t338 @t335) (= (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t470 @t308)) (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t470 @t469)))) (= (tptp.ti @t37 @t308) (tptp.ti @t37 @t469))))) % 14.71/15.03 (assume @p178 (forall (@list @t15 @t14 @t13 @t471 @t261 @t265) (= (tptp.hAPP @t164 @t13 (tptp.hAPP @t167 @t165 @t163 @t471) @t353) (tptp.hAPP @t14 @t13 (tptp.hAPP @t15 @t166 @t471 @t261) @t265)))) % 14.71/15.03 (assume @p179 (forall @t474 (= (tptp.hAPP @t61 @t61 @t473 @t89) @t472))) % 14.71/15.03 (assume @p180 (forall @t482 (=> @t405 (=> (forall @t344 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t290 @t481))) (=> (forall @t480 (=> (not (= @t476 @t89)) (=> @t479 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t290 @t478))))) @t475))))) % 14.71/15.03 (assume @p181 (forall (@list @t13 @t15 @t380 @t462) (=> (forall @t344 (= @t449 @t483)) (= (tptp.ti @t18 @t380) (tptp.ti @t18 @t462))))) % 14.71/15.03 (assume @p182 (forall @t484 (= @t377 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t374 @t245))))) % 14.71/15.03 (assume @p183 (forall @t485 (= (tptp.hAPP @t42 @t42 @t179 @t290) (tptp.ti @t42 @t290)))) % 14.71/15.03 (assume @p184 (forall @t418 (= (tptp.hAPP @t91 @t13 @t486 @t415) @t414))) % 14.71/15.03 (assume @p185 (forall @t422 (= (tptp.hAPP @t91 @t13 @t486 @t421) (tptp.hAPP @t13 @t13 (tptp.hAPP @t91 @t27 (tptp.hAPP @t15 @t96 @t416 @t261) @t365) (tptp.hAPP @t91 @t13 @t486 @t365))))) % 14.71/15.03 (assume @p186 (forall (@list @t15 @t14 @t13 @t338 @t335 @t487) (= (tptp.hAPP @t15 @t14 (tptp.hAPP @t13 @t20 (tptp.hAPP @t162 @t24 @t161 @t338) @t335) @t487) (tptp.hAPP @t36 @t14 @t338 (tptp.hAPP @t15 @t36 (tptp.hAPP @t13 @t159 @t158 @t335) @t487))))) % 14.71/15.03 (assume @p187 (forall @t490 (=> @t489 @t488))) % 14.71/15.03 (assume @p188 (forall @t491 (=> @t488 @t489))) % 14.71/15.03 (assume @p189 (forall @t372 (=> @t492 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t65 (tptp.hAPP @t61 @t61 @t473 @t368)))))) % 14.71/15.03 (assume @p190 (forall (@list @t14 @t13 @t15 @t380 @t261 @t265) (= (tptp.hAPP @t14 @t13 (tptp.hAPP @t15 @t166 (tptp.hAPP @t165 @t167 (tptp.product_curry @t15 @t14 @t13) @t380) @t261) @t265) (tptp.hAPP @t164 @t13 @t380 @t353)))) % 14.71/15.03 (assume @p191 (forall @t121 (tptp.hBOOL (tptp.hAPP @t91 tptp.bool @t120 @t415)))) % 14.71/15.03 (assume @p192 (forall @t406 (= @t494 @t404))) % 14.71/15.03 (assume @p193 (forall @t406 (= @t404 @t494))) % 14.71/15.03 (assume @p194 (forall @t372 (not (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t493 @t371))))) % 14.71/15.03 (assume @p195 (= tptp.arrow_301600364e_Prof @t498)) % 14.71/15.03 (assume @p196 (forall (@list @t13 @t261 @t245 @t265 @t244 @t499) (= (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 (tptp.hAPP @t61 @t123 @t501 @t516) @t515)) @t500)) (or @t514 (and @t508 @t506))))) % 14.71/15.03 (assume @p197 (forall (@list @t15 @t13 @t380) (= (tptp.hAPP @t91 @t61 @t517 @t415) @t89))) % 14.71/15.03 (assume @p198 (forall @t28 (=> @t87 (forall @t518 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t472)))))) % 14.71/15.03 (assume @p199 (forall @t441 (=> @t521 (=> @t492 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t65 @t519)))))) % 14.71/15.03 (assume @p200 @t530) % 14.71/15.03 (assume @p201 (forall @t532 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t531 @t245)))) % 14.71/15.03 (assume @p202 (forall @t28 (=> @t87 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t89))))) % 14.71/15.03 (assume @p203 (forall @t28 (=> @t87 (forall @t534 (=> @t521 (=> @t533 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t519)))))))) % 14.71/15.03 (assume @p204 (forall (@list @t13 @t15 @t374) (= (tptp.hAPP @t35 @t40 @t386 (tptp.hAPP @t34 @t35 @t409 (tptp.top_top @t34))) (tptp.top_top @t40)))) % 14.71/15.03 (assume @p205 (forall @t28 (= (tptp.hAPP @t61 @t61 @t64 @t89) @t89))) % 14.71/15.03 (assume @p206 (forall @t535 (not (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t502 @t89)) @t500))))) % 14.71/15.03 (assume @p207 (forall @t372 (and (=> @t520 (= @t536 @t89)) (=> @t521 (= @t536 (tptp.hAPP @t61 @t61 @t370 @t519)))))) % 14.71/15.03 (assume @p208 (forall @t372 @t528)) % 14.71/15.03 (assume @p209 (forall @t372 @t525)) % 14.71/15.03 (assume @p210 (forall (@list @t13 @t244 @t499) (= (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t537 @t244)) @t500)) (exists (@list @t288 @t338) (= @t244 (tptp.hAPP @t61 @t61 @t395 @t338)))))) % 14.71/15.03 (assume @p211 (forall @t543 (=> (forall @t292 (or (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t542 @t499)) (= @t540 (tptp.ti @t13 @t287)) (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t539 @t288)) @t499)))) (or @t506 @t538 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 (tptp.hAPP @t61 @t123 @t501 @t244) @t245)) @t500)))))) % 14.71/15.03 (assume @p212 (forall @t548 (=> (forall @t344 (not @t547)) (not (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t545 @t500)))))) % 14.71/15.03 (assume @p213 (forall @t532 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t376 @t531)))) % 14.71/15.03 (assume @p214 (forall @t117 (=> @t156 (forall @t549 (= (tptp.hAPP @t15 @t13 (tptp.top_top @t30) @t245) @t155))))) % 14.71/15.03 (assume @p215 (forall @t406 (=> @t405 (=> @t554 (= (tptp.hAPP @t61 @t61 (tptp.hAPP @t42 @t62 @t136 (tptp.hAPP @t42 @t42 @t553 (tptp.hAPP @t13 @t42 @t551 (tptp.hAPP @t61 @t13 @t75 @t401)))) @t401) @t550))))) % 14.71/15.03 (assume @p216 (forall @t406 (= (tptp.hBOOL (tptp.hAPP @t61 tptp.bool (tptp.hAPP @t61 @t66 @t555 @t401) @t89)) @t494))) % 14.71/15.03 (assume @p217 (forall @t485 (= (tptp.hAPP @t61 @t77 @t557 @t89) @t556))) % 14.71/15.03 (assume @p218 (forall @t441 (=> @t521 (= (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t519) (tptp.hAPP @t61 @t61 (tptp.hAPP @t13 @t62 @t88 @t522) @t89)) @t368)))) % 14.71/15.03 (assume @p219 (forall (@list @t13 @t401 @t560 @t290 @t245) (=> @t566 (= (tptp.hAPP @t61 @t61 @t558 (tptp.hAPP @t61 @t61 @t563 @t562)) @t559)))) % 14.71/15.03 (assume @p220 (forall (@list @t13 @t435 @t567 @t368 @t571 @t568) (=> (= (tptp.hAPP @t61 @t61 @t569 @t571) @t568) (=> (= @t435 (tptp.hAPP @t61 @t61 @t572 @t567)) (= @t570 (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t568) @t567)))))) % 14.71/15.03 (assume @p221 (forall (@list @t13 @t574 @t401 @t573) (= (= (tptp.hAPP @t61 @t61 @t577 @t401) (tptp.hAPP @t61 @t61 @t576 @t401)) @t575))) % 14.71/15.03 (assume @p222 (forall @t579 (= (= @t578 (tptp.hAPP @t61 @t61 @t563 @t573)) @t575))) % 14.71/15.03 (assume @p223 (forall (@list @t13 @t401 @t574 @t573 @t580) (= (= @t578 (tptp.hAPP @t61 @t61 @t576 @t580)) (exists (@list @t581) (or (and (= @t401 (tptp.hAPP @t61 @t61 @t576 @t581)) (= (tptp.hAPP @t61 @t61 @t582 @t574) @t580)) (and (= (tptp.hAPP @t61 @t61 @t563 @t581) @t573) (= @t574 (tptp.hAPP @t61 @t61 @t582 @t580)))))))) % 14.71/15.03 (assume @p224 (forall (@list @t13 @t368 @t435 @t568) (= (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t570) @t568) (tptp.hAPP @t61 @t61 @t569 @t583)))) % 14.71/15.03 (assume @p225 (forall (@list @t13 @t245 @t244) (= (tptp.hBOOL (tptp.hAPP @t61 tptp.bool (tptp.hAPP @t61 @t66 @t555 @t245) @t244)) @t538))) % 14.71/15.03 (assume @p226 (forall @t584 (= (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t371) @t435) (tptp.hAPP @t61 @t61 @t370 @t570)))) % 14.71/15.03 (assume @p227 (forall (@list @t13 @t368 @t568 @t369 @t571 @t435) (=> (= (tptp.hAPP @t61 @t61 @t370 @t571) @t435) (=> (= @t368 (tptp.hAPP @t61 @t61 @t572 @t568)) (= @t371 @t583))))) % 14.71/15.03 (assume @p228 @t586) % 14.71/15.03 (assume @p229 (forall @t589 (= (= @t89 @t578) @t588))) % 14.71/15.03 (assume @p230 (forall @t441 (= (tptp.hAPP @t61 @t61 @t569 @t89) @t368))) % 14.71/15.03 (assume @p231 (forall @t589 (= (= @t401 @t578) @t587))) % 14.71/15.03 (assume @p232 (forall (@list @t13 @t574 @t401) (= (= @t574 @t578) @t404))) % 14.71/15.03 (assume @p233 (forall @t589 (= (= @t578 @t89) @t588))) % 14.71/15.03 (assume @p234 (forall @t589 (= (= @t578 @t401) @t587))) % 14.71/15.03 (assume @p235 (forall @t589 (= (= @t578 @t574) @t404))) % 14.71/15.03 (assume @p236 (forall @t591 (=> @t590 (= @t368 @t585)))) % 14.71/15.03 (assume @p237 (forall @t485 (= (tptp.hAPP @t61 @t61 @t558 @t89) @t89))) % 14.71/15.03 (assume @p238 (forall @t482 (=> @t554 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t65 @t559))))) % 14.71/15.03 (assume @p239 (forall @t28 (=> @t87 (forall @t593 (=> @t592 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t559))))))) % 14.71/15.03 (assume @p240 (forall (@list @t13 @t574 @t573 @t245 @t401) (= (= @t599 @t598) (or (and @t587 (= @t573 @t598)) (exists @t597 (and (= @t574 @t596) (= @t595 @t401))))))) % 14.71/15.03 (assume @p241 (forall (@list @t13 @t245 @t401 @t574 @t573) (= (= @t598 @t599) (or (and @t587 (= @t598 @t573)) (exists @t597 (and (= @t596 @t574) (= @t401 @t595))))))) % 14.71/15.03 (assume @p242 (forall (@list @t13 @t401 @t245 @t574 @t244) (= (= @t608 @t606) (and @t603 @t602)))) % 14.71/15.03 (assume @p243 (forall @t591 (and (=> @t610 (= @t609 @t519)) (=> @t611 (= @t609 (tptp.hAPP @t61 @t61 @t569 (tptp.hAPP @t61 @t61 @t64 @t435))))))) % 14.71/15.03 (assume @p244 (forall @t591 @t613)) % 14.71/15.03 (assume @p245 (forall @t591 @t614)) % 14.71/15.03 (assume @p246 (forall @t591 (and @t613 @t614))) % 14.71/15.03 (assume @p247 (forall @t620 (=> @t619 @t618))) % 14.71/15.03 (assume @p248 (forall @t622 (and (=> @t565 (= @t621 (tptp.hAPP @t61 @t61 @t561 @t559))) (=> @t566 (= @t621 @t89))))) % 14.71/15.03 (assume @p249 (forall (@list @t15 @t13 @t380 @t245 @t401) (= (tptp.hAPP @t91 @t61 @t517 (tptp.hAPP @t91 @t91 (tptp.hAPP @t15 @t420 @t419 @t245) @t401)) (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 (tptp.hAPP @t15 @t61 @t380 @t245)) (tptp.hAPP @t91 @t61 @t517 @t401))))) % 14.71/15.03 (assume @p250 (forall @t373 (= (tptp.hAPP @t61 @t61 @t64 @t623) @t368))) % 14.71/15.03 (assume @p251 (forall @t373 (= (tptp.hAPP @t61 @t13 @t75 @t623) @t526))) % 14.71/15.03 (assume @p252 (forall @t28 (= @t531 (tptp.hAPP @t42 @t42 @t179 (tptp.hAPP tptp.bool @t42 (tptp.combk tptp.bool @t13) tptp.fTrue))))) % 14.71/15.03 (assume @p253 (forall (@list @t13 @t617 @t245 @t244 @t261 @t265 @t499) (=> @t514 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 (tptp.hAPP @t61 @t123 @t501 (tptp.hAPP @t61 @t61 @t624 @t516)) (tptp.hAPP @t61 @t61 @t624 @t515))) @t500))))) % 14.71/15.03 (assume @p254 (forall (@list @t13 @t401 @t245 @t574) (= (= @t608 @t574) (and (not @t587) (= @t625 @t401) (= (tptp.hAPP @t61 @t13 @t75 @t574) @t601))))) % 14.71/15.03 (assume @p255 (forall (@list @t13 @t245 @t499 @t244) (=> (exists (@list @t287 @t626) (= @t244 (tptp.hAPP @t61 @t61 (tptp.hAPP @t13 @t62 @t88 @t287) @t626))) (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t502 (tptp.hAPP @t61 @t61 @t616 @t244))) @t500))))) % 14.71/15.03 (assume @p256 (forall @t620 (=> @t618 (=> (forall @t627 (not (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t541 @t288)) @t499)))) @t619)))) % 14.71/15.03 (assume @p257 (forall (@list @t13 @t401 @t290) (=> (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t290 @t89)) (=> (forall @t480 (=> @t479 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t290 (tptp.hAPP @t61 @t61 @t628 @t481))))) @t475)))) % 14.71/15.03 (assume @p258 (forall @t441 (=> @t521 (not (forall (@list @t397 @t398) (not (= @t368 (tptp.hAPP @t61 @t61 @t630 @t629)))))))) % 14.71/15.03 (assume @p259 (forall (@list @t13 @t401 @t245 @t574 @t244 @t499) (= (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 (tptp.hAPP @t61 @t123 @t501 @t608) @t606)) @t634)) (or (and @t636 @t602) (and @t603 @t633))))) % 14.71/15.03 (assume @p260 (forall @t406 (= @t640 (tptp.hAPP @t61 @t61 (tptp.hAPP @t74 @t62 (tptp.hAPP @t61 @t639 @t638 @t89) (tptp.hAPP @t106 @t74 (tptp.hAPP @t63 (tptp.fun @t106 @t74) (tptp.combb @t61 @t62 @t13) @t637) (tptp.hAPP @t61 @t106 (tptp.hAPP @t74 (tptp.fun @t61 @t106) (tptp.combc @t13 @t61 @t61) @t88) @t89))) @t401)))) % 14.71/15.03 (assume @p261 (forall (@list @t15 @t13 @t369 @t368) (and (= (tptp.hAPP @t61 @t61 @t126 @t89) @t89) (= (tptp.hAPP @t91 @t91 (tptp.rotate1 @t15) (tptp.hAPP @t91 @t91 @t641 @t368)) (tptp.hAPP @t91 @t91 (tptp.hAPP @t91 @t420 @t642 @t368) (tptp.hAPP @t91 @t91 @t641 @t415)))))) % 14.71/15.03 (assume @p262 (forall @t28 (exists @t344 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t451 @t531))))) % 14.71/15.03 (assume @p263 (forall @t408 (=> (forall @t344 @t452) (= @t531 @t643)))) % 14.71/15.03 (assume @p264 (forall @t406 (= (= @t640 @t89) @t404))) % 14.71/15.03 (assume @p265 (forall @t406 (= (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t65 @t640)) @t554))) % 14.71/15.03 (assume @p266 (forall @t646 (=> @t636 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t645 @t634))))) % 14.71/15.03 (assume @p267 (forall @t548 (not (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t647 @t634))))) % 14.71/15.03 (assume @p268 (forall @t548 (not (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t648 @t634))))) % 14.71/15.03 (assume @p269 (forall (@list @t13 @t650 @t649 @t401 @t574 @t499) (=> (or (and @t636 (= @t650 @t649)) (and @t603 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 (tptp.hAPP @t61 @t123 @t501 @t650) @t649)) @t634)))) (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 (tptp.hAPP @t61 @t123 @t501 @t651) (tptp.hAPP @t61 @t61 @t577 @t649))) @t634))))) % 14.71/15.03 (assume @p270 (forall @t654 (= (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t653 @t634)) (or (and @t633 @t603) (and @t602 @t636))))) % 14.71/15.03 (assume @p271 (forall (@list @t13 @t401 @t245 @t244 @t499) (=> @t633 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t644 (tptp.hAPP @t61 @t61 @t604 @t401))) @t634))))) % 14.71/15.03 (assume @p272 (forall (@list @t13 @t574 @t401 @t650 @t649 @t245 @t244 @t499) (=> @t633 (=> (= @t401 (tptp.hAPP @t61 @t61 @t655 (tptp.hAPP @t61 @t61 @t561 @t649))) (=> (= @t574 (tptp.hAPP @t61 @t61 @t655 (tptp.hAPP @t61 @t61 @t604 @t649))) @t636))))) % 14.71/15.03 (assume @p273 (forall @t659 (=> @t636 (not (forall @t468 (=> @t658 (forall @t657 (=> (= @t401 (tptp.hAPP @t61 @t61 @t582 (tptp.hAPP @t61 @t61 @t477 @t656))) (not (= @t574 (tptp.hAPP @t61 @t61 @t582 (tptp.hAPP @t61 @t61 @t399 @t656)))))))))))) % 14.71/15.03 (assume @p274 (forall @t646 (=> (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t644 @t574)) @t634)) (=> (forall @t664 (=> (= @t574 (tptp.hAPP @t61 @t61 @t399 @t401)) (not @t663))) (not (forall @t662 (=> (= @t574 @t661) (not (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t544 @t660)) @t634)))))))))) % 14.71/15.03 (assume @p275 (forall @t667 (=> (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t666 @t634)) (=> (forall @t344 (=> (= @t401 (tptp.hAPP @t61 @t61 @t477 @t574)) (not @t665))) (not (forall @t662 (=> (= @t401 (tptp.hAPP @t61 @t61 @t604 @t660)) (not (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 (tptp.hAPP @t61 @t123 @t501 @t660) @t574)) @t634)))))))))) % 14.71/15.03 (assume @p276 (= tptp.arrow_1568854078le_Lin (tptp.hAPP @t6 @t6 (tptp.collect @t2) (tptp.hAPP @t148 @t6 @t147 (tptp.top_top @t148))))) % 14.71/15.03 (assume @p277 (forall (@list @t13 @t290 @t401 @t244 @t574) (= (= @t670 @t652) (and (= @t401 (tptp.hAPP @t61 @t61 @t668 @t652)) (not (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t290 @t244))))))) % 14.71/15.03 (assume @p278 (forall @t548 (not (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t647 @t671))))) % 14.71/15.03 (assume @p279 (forall (@list @t13 @t574 @t499) (not (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t537 @t574)) @t671))))) % 14.71/15.03 (assume @p280 (forall (@list @t13 @t290 @t245 @t401) (= (tptp.hAPP @t61 @t77 @t557 @t598) (tptp.hAPP @t77 @t77 (tptp.hAPP @t675 @t677 (tptp.product_prod_case @t61 @t61 @t77) (tptp.hAPP @t675 @t675 (tptp.hAPP @t683 (tptp.fun @t675 @t675) (tptp.combs @t61 @t123 @t123) (tptp.hAPP @t681 @t683 (tptp.hAPP (tptp.fun @t679 @t682) (tptp.fun @t681 @t683) (tptp.combb @t679 @t682 @t61) (tptp.combs @t61 @t77 @t77)) (tptp.hAPP @t675 @t681 (tptp.hAPP @t680 (tptp.fun @t675 @t681) (tptp.combb @t123 @t679 @t61) (tptp.hAPP @t678 @t680 (tptp.combb @t77 @t677 @t61) (tptp.hAPP tptp.bool @t678 (tptp.if @t77) @t564))) (tptp.hAPP @t62 @t675 (tptp.hAPP @t675 @t676 (tptp.combb @t61 @t123 @t61) @t501) @t561)))) (tptp.hAPP @t62 @t675 (tptp.hAPP @t674 @t676 (tptp.combc @t61 @t62 @t123) (tptp.hAPP @t675 @t674 (tptp.hAPP (tptp.fun @t123 @t673) (tptp.fun @t675 @t674) (tptp.combb @t123 @t673 @t61) (tptp.combb @t61 @t77 @t61)) @t501)) @t561))) @t672)))) % 14.71/15.03 (assume @p281 (forall (@list @t15 @t14 @t13 @t169 @t424 @t380 @t462 @t684) (= (tptp.hAPP @t164 @t13 @t685 (tptp.hAPP @t442 @t164 (tptp.hAPP @t690 (tptp.fun @t442 @t164) (tptp.product_prod_case @t169 @t424 @t164) @t462) @t684)) (tptp.hAPP @t442 @t13 (tptp.hAPP @t689 (tptp.fun @t442 @t13) (tptp.product_prod_case @t169 @t424 @t13) (tptp.hAPP @t690 @t689 (tptp.hAPP @t688 (tptp.fun @t690 @t689) (tptp.combb @t687 @t686 @t169) (tptp.hAPP @t165 @t688 (tptp.combb @t164 @t13 @t424) @t685)) @t462)) @t684)))) % 14.71/15.03 (assume @p282 (forall (@list @t14 @t13 @t15 @t471 @t684 @t691) (=> @t696 (= (tptp.hAPP @t36 @t14 @t693 @t684) (tptp.hAPP @t36 @t14 @t693 @t691))))) % 14.71/15.03 (assume @p283 (forall @t354 (= (tptp.hAPP @t164 @t13 (tptp.hAPP @t167 @t165 @t175 @t349) @t353) @t350))) % 14.71/15.03 (assume @p284 (forall (@list @t15 @t14 @t13 @t380 @t261 @t265) (= (tptp.hAPP @t164 @t13 @t685 @t353) (tptp.hAPP @t14 @t13 (tptp.hAPP @t15 @t166 @t380 @t261) @t265)))) % 14.71/15.03 (assume @p285 (forall @t622 (and (=> @t565 (= @t697 @t670)) (=> @t566 (= @t697 @t598))))) % 14.71/15.03 (assume @p286 (forall @t485 (= (tptp.hAPP @t61 @t61 @t669 @t89) @t89))) % 14.71/15.03 (assume @p287 (forall @t482 (=> @t554 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t65 @t670))))) % 14.71/15.03 (assume @p288 (forall @t28 (=> @t87 (forall @t593 (=> @t592 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t670))))))) % 14.71/15.03 (assume @p289 (forall @t700 (= (tptp.hAPP @t24 @t162 @t692 (tptp.hAPP @t160 @t24 (tptp.hAPP @t699 (tptp.fun @t160 @t24) (tptp.combb @t159 @t20 @t13) (tptp.hAPP @t162 @t699 (tptp.combb @t36 @t14 @t15) @t380)) @t158)) @t698))) % 14.71/15.03 (assume @p290 (forall @t700 (= (tptp.hAPP @t24 @t162 @t692 (tptp.hAPP @t162 @t24 @t161 @t380)) @t698))) % 14.71/15.03 (assume @p291 (forall @t700 (= (tptp.hAPP @t162 @t24 @t161 @t701) (tptp.ti @t24 @t380)))) % 14.71/15.03 (assume @p292 (forall @t25 (= (tptp.produc1605651328_split @t13 @t15 @t14) @t692))) % 14.71/15.03 (assume @p293 (forall @t482 (= (tptp.hAPP @t61 @t61 @t668 @t670) @t401))) % 14.71/15.03 (assume @p294 (forall (@list @t15 @t14 @t13 @t380 @t462) (=> (forall @t468 (= @t702 (tptp.hAPP @t36 @t14 @t462 @t466))) (= @t701 (tptp.ti @t162 @t462))))) % 14.71/15.03 (assume @p295 (forall (@list @t13 @t15 @t14 @t703 @t290 @t249) (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t703 (tptp.hAPP @t164 @t13 (tptp.hAPP @t167 @t165 @t175 @t290) @t249))) (not (forall @t468 (=> (= (tptp.ti @t164 @t249) @t704) (not (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t703 (tptp.hAPP @t14 @t13 (tptp.hAPP @t15 @t166 @t290 @t338) @t398)))))))))) % 14.71/15.03 (assume @p296 (forall (@list @t14 @t15 @t13 @t684 @t380 @t462 @t691) (=> (forall @t468 (=> (= @t466 @t694) (= @t702 (tptp.hAPP @t15 @t14 (tptp.hAPP @t13 @t20 @t462 @t338) @t398)))) (=> @t696 (= (tptp.hAPP @t36 @t14 @t701 @t684) (tptp.hAPP @t36 @t14 (tptp.hAPP @t24 @t162 @t692 @t462) @t691)))))) % 14.71/15.03 (assume @p297 (forall @t654 (= (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t653 @t671)) (or (and @t633 @t707) (and @t602 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t635 @t671))))))) % 14.71/15.03 (assume @p298 (forall (@list @t13 @t709) (=> (not (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t65 @t709))) (exists (@list @t476 @t397 @t660 @t398) (= @t709 (tptp.hAPP @t61 @t61 @t628 (tptp.hAPP @t61 @t61 @t708 (tptp.hAPP @t61 @t61 @t630 (tptp.hAPP @t61 @t61 @t708 @t660))))))))) % 14.71/15.03 (assume @p299 (forall @t712 (=> @t633 (=> @t711 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t653 @t710)))))) % 14.71/15.03 (assume @p300 (forall @t589 (= (tptp.hAPP @t61 @t61 @t137 @t578) (tptp.hAPP @t61 @t61 (tptp.hAPP @t74 @t62 (tptp.hAPP @t61 @t639 @t638 (tptp.hAPP @t61 @t61 @t137 @t574)) (tptp.hAPP @t62 @t74 (tptp.combk @t62 @t13) (tptp.hAPP @t61 @t62 @t637 @t574))) @t401)))) % 14.71/15.03 (assume @p301 (forall @t28 (=> @t57 (= @t55 @t195)))) % 14.71/15.03 (assume @p302 (forall @t491 (=> @t715 @t714))) % 14.71/15.03 (assume @p303 (forall (@list @t15 @t13 @t349 @t261 @t265) (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t34 @t349 @t261) @t265)) (tptp.hBOOL (tptp.hAPP @t36 tptp.bool (tptp.hAPP @t35 @t37 @t713 @t349) @t302))))) % 14.71/15.03 (assume @p304 (forall (@list @t13 @t14 @t15 @t249 @t471 @t261 @t265) (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t718 (tptp.hAPP @t14 @t42 (tptp.hAPP @t15 @t716 @t471 @t261) @t265))) (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t718 (tptp.hAPP @t164 @t42 @t717 @t353)))))) % 14.71/15.03 (assume @p305 (forall @t548 (=> (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t647 @t710)) @t404))) % 14.71/15.03 (assume @p306 (forall @t548 (=> (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t648 @t710)) @t404))) % 14.71/15.03 (assume @p307 (forall @t591 (=> (not @t721) (not @t590)))) % 14.71/15.03 (assume @p308 (forall @t659 (=> @t711 @t707))) % 14.71/15.03 (assume @p309 (forall @t490 (=> @t714 @t715))) % 14.71/15.03 (assume @p310 (forall (@list @t14 @t13 @t15 @t308 @t261 @t265 @t471) (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t36 @t722 (tptp.hAPP @t726 @t725 @t724 @t308) @t302) @t471)) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t15 @t722 (tptp.hAPP @t13 @t723 @t308 @t261) @t265) @t471))))) % 14.71/15.03 (assume @p311 (forall @t441 (= (tptp.hAPP @t61 tptp.nat @t146 @t727) @t720))) % 14.71/15.03 (assume @p312 @t729) % 14.71/15.03 (assume @p313 (forall @t28 (= (tptp.hAPP @t61 @t61 @t137 @t89) @t89))) % 14.71/15.03 (assume @p314 (forall @t441 (=> @t492 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t65 @t730))))) % 14.71/15.03 (assume @p315 (forall @t28 (=> @t87 (forall @t534 (=> @t533 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t730))))))) % 14.71/15.03 (assume @p316 (forall @t659 (=> @t636 @t707))) % 14.71/15.03 (assume @p317 (forall @t731 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 @t556) @t710)))) % 14.71/15.03 (assume @p318 (forall @t733 (=> @t521 (= (tptp.hAPP @t61 @t61 @t137 @t570) (tptp.hAPP @t61 @t61 @t732 @t435))))) % 14.71/15.03 (assume @p319 (forall @t543 (= (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t505 @t671)) (and @t506 @t736)))) % 14.71/15.03 (assume @p320 (forall @t28 (=> @t57 (= @t195 @t55)))) % 14.71/15.03 (assume @p321 (forall @t28 (=> @t57 (forall @t737 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t55 @t245) @t244)) @t602))))) % 14.71/15.03 (assume @p322 (forall @t28 (=> @t57 (forall @t518 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t55 @t369) @t369)))))) % 14.71/15.03 (assume @p323 (forall @t667 (=> (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t666 @t710)) (not (forall @t480 (=> (= @t401 @t478) (=> @t665 (not (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t738 @t574)) @t710)))))))))) % 14.71/15.03 (assume @p324 (forall (@list @t13 @t244 @t574 @t401 @t499) (=> (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 (tptp.hAPP @t61 @t123 @t501 @t652) @t401)) @t710)) (not (forall @t403 (=> @t402 (=> (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 (tptp.hAPP @t13 @t510 @t509 @t244) @t398)) @t499)) (not (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t739 @t397)) @t710)))))))))) % 14.71/15.03 (assume @p325 (forall @t744 (=> @t743 (=> (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t290 @t89) @t415)) (=> (forall (@list @t338 @t476 @t398 @t397) (=> (= @t741 (tptp.hAPP @t91 tptp.nat @t740 @t397)) (=> (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t290 @t476) @t397)) (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t290 @t478) (tptp.hAPP @t91 @t91 (tptp.hAPP @t15 @t420 @t419 @t398) @t397)))))) (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t290 @t401) @t574))))))) % 14.71/15.03 (assume @p326 (forall @t747 (=> (forall @t292 (=> @t746 (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t34 @t471 @t288) @t287)))) @t745))) % 14.71/15.03 (assume @p327 (forall @t747 (=> @t745 (not (forall @t468 (=> @t748 (not (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t34 @t471 @t338) @t398))))))))) % 14.71/15.03 (assume @p328 (forall (@list @t14 @t13 @t15 @t249 @t471 @t684) (=> (forall @t292 (=> @t746 (tptp.hBOOL (tptp.hAPP @t722 tptp.bool @t750 @t751)))) (tptp.hBOOL (tptp.hAPP @t722 tptp.bool @t750 @t749))))) % 14.71/15.03 (assume @p329 (forall (@list @t14 @t15 @t13 @t471 @t245 @t684) (=> (forall @t292 (=> (= @t289 @t695) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t751 @t245)))) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t749 @t245))))) % 14.71/15.03 (assume @p330 (forall (@list @t13 @t15 @t14 @t249 @t471 @t684) (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t718 (tptp.hAPP @t164 @t42 @t717 @t684))) (not (forall @t468 (=> (= (tptp.ti @t164 @t684) @t704) (not (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t718 (tptp.hAPP @t14 @t42 (tptp.hAPP @t15 @t716 @t471 @t338) @t398)))))))))) % 14.71/15.03 (assume @p331 (forall (@list @t13 @t15 @t290 @t703 @t338) (= (tptp.hBOOL (tptp.hAPP @t36 tptp.bool (tptp.hAPP @t35 @t37 @t713 (tptp.hAPP @t35 @t35 (tptp.hAPP @t753 (tptp.fun @t35 @t35) (tptp.combb @t34 @t34 @t13) (tptp.hAPP @t193 @t753 (tptp.combb tptp.bool tptp.bool @t15) (tptp.hAPP tptp.bool @t193 tptp.fconj @t290))) @t703)) @t338)) (and @t752 (tptp.hBOOL (tptp.hAPP @t36 tptp.bool (tptp.hAPP @t35 @t37 @t713 @t703) @t338)))))) % 14.71/15.03 (assume @p332 (forall (@list @t14 @t13 @t15 @t471 @t684 @t249) (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t749 @t249)) (not (forall @t468 (=> @t748 (not (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t15 @t722 (tptp.hAPP @t13 @t723 @t471 @t338) @t398) @t249))))))))) % 14.71/15.03 (assume @p333 (forall (@list @t13 @t499 @t338 @t335) (= (tptp.hBOOL (tptp.hAPP @t61 tptp.bool (tptp.hAPP @t61 @t66 (tptp.hAPP @t56 @t111 @t110 @t760) @t338) @t335)) (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 (tptp.hAPP @t61 @t123 @t501 @t338) @t335)) @t710))))) % 14.71/15.03 (assume @p334 (forall @t441 (=> @t521 (= @t727 (tptp.hAPP @t61 @t61 @t732 (tptp.hAPP @t61 @t61 @t762 @t89)))))) % 14.71/15.03 (assume @p335 (forall @t769 (= (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 (tptp.hAPP @t61 @t123 @t501 @t765) @t763)) @t710)) (or @t768 (exists @t767 (and @t766 @t764 @t658 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t77 @t504 @t503 (tptp.hAPP @t61 @t77 @t738 @t397)) @t710)))))))) % 14.71/15.03 (assume @p336 (forall (@list @t13 @t401 @t574 @t499 @t770) (=> (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t635 (tptp.hAPP tptp.nat @t78 (tptp.hAPP @t80 @t84 @t83 @t499) @t770))) (and (= @t706 @t770) (= @t705 @t770))))) % 14.71/15.03 (assume @p337 (forall @t773 (exists @t772 (= @t741 @t771)))) % 14.71/15.03 (assume @p338 (forall (@list @t13 @t774 @t369) (= (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t775) @t472) (tptp.hAPP @t61 @t61 @t370 @t775)))) % 14.71/15.03 (assume @p339 (forall @t777 (= (tptp.hAPP @t61 tptp.nat @t146 @t776) @t771))) % 14.71/15.03 (assume @p340 (forall (@list @t13 @t771 @t369 @t778) (= (tptp.hAPP @t61 @t61 @t780 @t779) (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t779) @t776)))) % 14.71/15.03 (assume @p341 (forall @t372 (= (tptp.hAPP @t61 @t13 @t71 @t371) @t526))) % 14.71/15.03 (assume @p342 (forall @t781 (= (tptp.hAPP @t61 @t61 @t780 @t371) (tptp.hAPP @t61 @t61 @t370 (tptp.hAPP @t61 @t61 @t780 @t368))))) % 14.71/15.03 (assume @p343 (forall (@list @t13 @t401 @t574 @t499 @t245 @t244) (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t783 @t244)) (=> (tptp.hBOOL (tptp.hAPP @t61 tptp.bool (tptp.hAPP @t61 @t66 @t782 @t401) @t574)) (tptp.hBOOL (tptp.hAPP @t61 tptp.bool (tptp.hAPP @t61 @t66 @t782 @t598) @t652)))))) % 14.71/15.03 (assume @p344 (forall @t731 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool (tptp.hAPP @t61 @t66 @t782 @t89) @t89)))) % 14.71/15.03 (assume @p345 (forall @t733 (and (=> @t520 (= @t784 (tptp.hAPP @t61 @t13 @t71 @t435))) @t785))) % 14.71/15.03 (assume @p346 (forall @t733 @t785)) % 14.71/15.03 (assume @p347 (forall @t482 (=> (not @t786) (not (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t290 (tptp.hAPP @t61 @t13 @t71 @t670))))))) % 14.71/15.03 (assume @p348 (forall (@list @t13 @t499 @t765 @t763) (= (tptp.hBOOL (tptp.hAPP @t61 tptp.bool (tptp.hAPP @t61 @t66 @t782 @t765) @t763)) (or @t768 (exists @t767 (and @t766 @t764 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t787 @t398)) (tptp.hBOOL (tptp.hAPP @t61 tptp.bool (tptp.hAPP @t61 @t66 @t782 @t476) @t397)))))))) % 14.71/15.03 (assume @p349 (forall @t441 (=> @t521 (= (tptp.hAPP @t61 @t13 @t75 @t788) @t761)))) % 14.71/15.03 (assume @p350 (forall @t441 (=> @t521 (= (tptp.hAPP @t61 @t13 @t71 @t788) @t522)))) % 14.71/15.03 (assume @p351 (forall @t482 (= @t670 (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t67 @t789) @t401)))) % 14.71/15.03 (assume @p352 (forall (@list @t13 @t368 @t369 @t435 @t396) (= (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 (tptp.hAPP @t61 @t107 @t105 @t791) @t720) @t396) (tptp.hAPP @t61 @t61 @t569 @t439)))) % 14.71/15.03 (assume @p353 (forall (@list @t15 @t169 @t13 @t14 @t380 @t462) (= (tptp.hAPP @t173 @t172 (tptp.hAPP @t17 @t174 @t170 @t380) @t462) (tptp.hAPP @t796 @t172 (tptp.product_prod_case @t13 @t15 @t171) (tptp.hAPP @t173 @t796 (tptp.hAPP @t795 (tptp.fun @t173 @t796) (tptp.combc @t13 @t173 @t793) (tptp.hAPP @t792 @t795 (tptp.hAPP (tptp.fun @t455 @t794) (tptp.fun @t792 @t795) (tptp.combb @t455 @t794 @t13) (tptp.combb @t169 @t171 @t15)) (tptp.hAPP @t17 @t792 (tptp.hAPP (tptp.fun @t14 @t455) (tptp.fun @t17 @t792) (tptp.combb @t14 @t455 @t13) @t454) @t380))) @t462))))) % 14.71/15.03 (assume @p354 (forall @t659 (=> @t711 @t798))) % 14.71/15.03 (assume @p355 (forall @t548 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t545 @t800)))) % 14.71/15.03 (assume @p356 (forall (@list @t13 @t15 @t338) (= (tptp.hAPP @t36 @t36 (tptp.hAPP @t802 @t801 (tptp.hAPP @t27 (tptp.fun @t802 @t801) (tptp.product_map_pair @t13 @t13 @t15 @t15) @t26) (tptp.combi @t15)) @t338) (tptp.ti @t36 @t338)))) % 14.71/15.03 (assume @p357 (forall (@list @t13 @t368 @t369 @t803 @t774 @t804) (=> (not (= @t774 @t804)) (= (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t808 @t804) @t803) (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 (tptp.hAPP @t61 @t107 @t105 (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t805 @t804) @t803)) @t774) @t369))))) % 14.71/15.03 (assume @p358 (forall (@list @t13 @t368 @t774 @t369 @t396) (= (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t808 @t774) @t396) @t809))) % 14.71/15.03 (assume @p359 (forall @t589 (= (= @t811 @t810) @t603))) % 14.71/15.03 (assume @p360 (forall @t589 (= (= @t811 @t574) (= @t401 @t810)))) % 14.71/15.03 (assume @p361 (forall @t441 (= (tptp.hAPP @t61 @t61 @t125 @t788) @t368))) % 14.71/15.03 (assume @p362 (forall @t731 (= @t800 @t797))) % 14.71/15.03 (assume @p363 (forall @t773 (= (tptp.hAPP @t61 @t61 @t812 @t89) @t89))) % 14.71/15.03 (assume @p364 @t814) % 14.71/15.03 (assume @p365 (forall @t406 (= (= @t89 @t811) @t404))) % 14.71/15.03 (assume @p366 (forall @t406 (= (= @t811 @t89) @t404))) % 14.71/15.03 (assume @p367 (forall @t441 (= (tptp.hAPP @t61 tptp.nat @t146 @t788) @t720))) % 14.71/15.03 (assume @p368 (forall @t591 (= (tptp.hAPP @t61 @t61 @t125 @t570) (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 (tptp.hAPP @t61 @t61 @t125 @t435)) @t788)))) % 14.71/15.03 (assume @p369 (forall @t817 (=> @t492 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t65 @t816))))) % 14.71/15.03 (assume @p370 (forall @t28 (=> @t87 (forall @t819 (=> @t533 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t818))))))) % 14.71/15.03 (assume @p371 (forall (@list @t13 @t401 @t820 @t245) (= (= (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t821 @t820) @t245) @t89) @t404))) % 14.71/15.03 (assume @p372 (forall (@list @t13 @t774 @t412) (= (tptp.hAPP @t13 @t61 @t822 @t412) @t89))) % 14.71/15.03 (assume @p373 (forall (@list @t13 @t774 @t396) (= (tptp.hAPP @t13 @t61 @t822 @t396) @t89))) % 14.71/15.03 (assume @p374 (forall (@list @t13 @t368 @t774 @t369) (= (tptp.hAPP @t61 tptp.nat @t146 @t807) @t720))) % 14.71/15.03 (assume @p375 (forall @t406 (= (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t65 @t811)) @t554))) % 14.71/15.03 (assume @p376 (forall @t777 (= (tptp.hAPP @t61 @t61 @t125 @t776) @t776))) % 14.71/15.03 (assume @p377 (forall @t825 (= @t824 @t823))) % 14.71/15.03 (assume @p378 (forall @t825 (= @t823 @t824))) % 14.71/15.03 (assume @p379 (forall @t825 (= @t827 @t826))) % 14.71/15.03 (assume @p380 (forall @t825 (= @t826 @t827))) % 14.71/15.03 (assume @p381 (forall (@list @t14 @t169 @t13 @t15 @t380 @t462 @t261 @t265) (= (tptp.hAPP @t171 @t36 (tptp.hAPP @t829 @t828 (tptp.hAPP @t166 (tptp.fun @t829 @t828) (tptp.product_map_pair @t14 @t13 @t169 @t15) @t380) @t462) (tptp.hAPP @t169 @t171 (tptp.hAPP @t14 @t455 @t454 @t261) @t265)) (tptp.hAPP @t15 @t36 (tptp.hAPP @t13 @t159 @t158 (tptp.hAPP @t14 @t13 @t380 @t261)) (tptp.hAPP @t169 @t15 @t462 @t265))))) % 14.71/15.03 (assume @p382 (forall @t712 (=> (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t632 @t799)) (=> @t798 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t653 @t797)))))) % 14.71/15.03 (assume @p383 (forall @t831 (= (= @t811 @t607) @t830))) % 14.71/15.03 (assume @p384 (forall @t832 (= (= @t607 @t811) @t830))) % 14.71/15.03 (assume @p385 (forall (@list @t13 @t573 @t401 @t574 @t499) (=> @t835 (=> (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t834 @t800)) (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t833 @t800)))))) % 14.71/15.03 (assume @p386 (forall @t646 (=> @t798 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t645 @t797))))) % 14.71/15.03 (assume @p387 (forall @t543 (=> (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t505 @t797)) @t736))) % 14.71/15.03 (assume @p388 (forall @t372 (= (tptp.hAPP @t61 @t61 @t125 @t371) (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t788) @t472)))) % 14.71/15.03 (assume @p389 (forall (@list @t13 @t401 @t244 @t574) (= (= @t811 @t652) (= @t401 (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t810) @t605))))) % 14.71/15.03 (assume @p390 (forall @t659 (=> @t636 @t835))) % 14.71/15.03 (assume @p391 (forall (@list @t13 @t261 @t499) (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t836 @t799)))) % 14.71/15.03 (assume @p392 (forall (@list @t13 @t684 @t499) (=> (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t837 @t499)) (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t837 @t799))))) % 14.71/15.03 (assume @p393 (forall @t841 (=> @t514 @t840))) % 14.71/15.03 (assume @p394 (forall @t841 (=> @t842 (=> (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t839 @t499)) @t838)))) % 14.71/15.03 (assume @p395 (forall @t841 (=> @t842 @t840))) % 14.71/15.03 (assume @p396 (forall @t832 (=> @t554 (=> @t847 (= (tptp.hAPP @t61 @t61 @t845 @t811) (tptp.hAPP @t61 @t61 @t125 (tptp.hAPP @t61 @t61 @t137 (tptp.hAPP @t61 @t61 @t844 @t401)))))))) % 14.71/15.03 (assume @p397 (forall @t832 (=> @t554 (=> @t847 (= (tptp.hAPP @t61 @t61 @t844 @t811) (tptp.hAPP @t61 @t61 @t561 (tptp.hAPP @t61 @t61 @t125 (tptp.hAPP @t61 @t61 @t845 @t401)))))))) % 14.71/15.03 (assume @p398 (forall (@list @t13 @t244 @t245 @t401) (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t848 @t849)) (or (= @t600 @t601) (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t848 @t846)))))) % 14.71/15.03 (assume @p399 (forall @t406 (= (tptp.hAPP @t61 @t42 @t127 @t811) @t846))) % 14.71/15.03 (assume @p400 (forall @t853 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t376 @t852)) @t847))) % 14.71/15.03 (assume @p401 (forall @t482 (= (= @t559 @t401) @t856))) % 14.71/15.03 (assume @p402 (forall @t857 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t376 (tptp.hAPP @t61 @t42 @t127 @t559))) (and @t847 @t565)))) % 14.71/15.03 (assume @p403 (forall @t832 (=> @t858 @t847))) % 14.71/15.03 (assume @p404 (forall @t406 (= (tptp.hAPP @t61 @t42 @t127 @t640) @t846))) % 14.71/15.03 (assume @p405 (forall @t832 @t860)) % 14.71/15.03 (assume @p406 (forall @t832 (= (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t65 @t598)) (and @t861 @t554)))) % 14.71/15.03 (assume @p407 (forall @t28 (=> @t87 (forall (@list @t574 @t401) (=> @t592 (=> @t554 (=> @t863 (=> (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t65 @t574)) (=> (= @t846 @t862) @t603))))))))) % 14.71/15.03 (assume @p408 (forall @t865 (=> @t847 (=> @t566 (= @t864 @t559))))) % 14.71/15.03 (assume @p409 @t871) % 14.71/15.03 (assume @p410 (forall @t482 (= @t786 @t856))) % 14.71/15.03 (assume @p411 (forall (@list @t13 @t574 @t245 @t401) (=> (or @t858 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t376 (tptp.hAPP @t61 @t42 @t127 @t625)))) (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t376 (tptp.hAPP @t61 @t42 @t127 (tptp.hAPP @t61 @t61 @t64 @t578))))))) % 14.71/15.03 (assume @p412 (forall @t406 (=> @t405 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t13 @t192 @t375 (tptp.hAPP @t61 @t13 @t71 @t401)) @t846))))) % 14.71/15.03 (assume @p413 (forall @t865 (=> @t847 (=> @t566 (= @t872 (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t670) @t574)))))) % 14.71/15.03 (assume @p414 (forall @t832 (and @t860 @t873))) % 14.71/15.03 (assume @p415 (forall @t832 @t873)) % 14.71/15.03 (assume @p416 (forall (@list @t13 @t290 @t401 @t876 @t875) (=> (= @t672 (tptp.hAPP @t61 @t77 (tptp.hAPP @t61 @t123 @t501 @t876) @t875)) (and (forall @t344 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t451 (tptp.hAPP @t61 @t42 @t127 @t876))) @t854)) (forall @t344 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t451 (tptp.hAPP @t61 @t42 @t127 @t875))) @t874)))))) % 14.71/15.03 (assume @p417 (forall @t731 (= (tptp.hAPP @t80 @t80 @t181 @t799) @t799))) % 14.71/15.03 (assume @p418 (forall (@list @t13 @t573 @t574 @t499 @t401) (=> (forall (@list @t338 @t398 @t626) (=> @t855 (=> @t658 (=> @t878 (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t546 @t626)) @t499)))))) (=> (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t635 @t500)) (=> (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t834 @t500)) (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t833 @t500))))))) % 14.71/15.03 (assume @p419 (forall @t879 (=> @t856 (= @t872 (tptp.hAPP @t61 @t61 @t669 @t574))))) % 14.71/15.03 (assume @p420 (forall @t879 (=> @t856 (= @t864 (tptp.hAPP @t61 @t61 @t563 (tptp.hAPP @t61 @t61 @t558 @t574)))))) % 14.71/15.03 (assume @p421 (forall @t482 (=> @t883 (not (forall @t882 (=> @t881 @t874)))))) % 14.71/15.03 (assume @p422 (forall @t832 (= @t847 @t887))) % 14.71/15.03 (assume @p423 (forall @t832 (= @t847 @t889))) % 14.71/15.03 (assume @p424 (forall @t832 (= @t847 @t890))) % 14.71/15.03 (assume @p425 (forall @t893 (=> @t892 (=> @t891 (= (tptp.hAPP @t61 @t61 @t669 @t560) (tptp.hAPP @t61 @t61 (tptp.hAPP @t42 @t62 @t69 @t703) @t820)))))) % 14.71/15.03 (assume @p426 (forall @t893 (=> @t892 (=> @t891 (= (tptp.hAPP @t61 @t61 @t558 @t560) (tptp.hAPP @t61 @t61 (tptp.hAPP @t42 @t62 @t136 @t703) @t820)))))) % 14.71/15.03 (assume @p427 (forall @t900 (=> @t842 (=> @t899 (=> (forall @t898 (=> @t897 (=> @t878 (=> @t896 @t895)))) @t894))))) % 14.71/15.03 (assume @p428 (forall @t900 (=> @t842 (=> @t894 (=> (forall @t898 (=> @t878 (=> (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 (tptp.hAPP @t13 @t510 @t509 @t626) @t265)) @t799)) (=> @t895 @t896)))) @t899))))) % 14.71/15.03 (assume @p429 (forall (@list @t13 @t245 @t249 @t499) (=> (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t631 @t249)) @t799)) (=> (not (= @t601 (tptp.ti @t13 @t249))) (not (forall @t664 (=> @t663 (not (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t877 @t249)) @t799)))))))))) % 14.71/15.03 (assume @p430 (forall (@list @t13 @t261 @t265 @t499) (=> @t842 (=> (not @t508) (not (forall @t664 (=> @t897 (not (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t877 @t265)) @t499)))))))))) % 14.71/15.03 (assume @p431 (forall @t482 (=> @t883 (not (forall @t882 (=> @t881 (=> @t854 (not @t903)))))))) % 14.71/15.03 (assume @p432 (forall @t482 (=> @t883 (not (forall @t905 (=> @t880 (=> @t854 (not @t904)))))))) % 14.71/15.03 (assume @p433 (forall @t832 (=> @t847 @t887))) % 14.71/15.03 (assume @p434 (forall @t832 (=> @t847 @t889))) % 14.71/15.03 (assume @p435 (forall @t832 (=> @t847 @t890))) % 14.71/15.03 (assume @p436 (forall @t482 (= @t883 @t906))) % 14.71/15.03 (assume @p437 (forall @t482 (= @t883 @t907))) % 14.71/15.03 (assume @p438 (forall (@list @t13 @t245 @t401 @t361 @t615) (= (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 (tptp.hAPP @t61 @t107 @t105 @t598) @t361) @t615) (tptp.hAPP tptp.nat @t61 (tptp.hAPP @t908 @t908 (tptp.hAPP @t61 @t909 @t911 (tptp.hAPP @t61 @t61 (tptp.hAPP @t13 @t62 @t88 @t615) @t401)) (tptp.hAPP @t908 @t908 @t910 (tptp.hAPP @t13 @t908 (tptp.hAPP @t107 (tptp.fun @t13 @t908) (tptp.combc tptp.nat @t13 @t61) @t821) @t615))) @t361)))) % 14.71/15.03 (assume @p439 (forall @t914 (= (tptp.hAPP @t61 @t61 @t850 @t598) (tptp.hAPP tptp.nat @t61 (tptp.hAPP @t908 @t908 (tptp.hAPP @t61 @t909 @t911 @t598) (tptp.hAPP @t61 @t908 (tptp.hAPP @t68 @t913 @t912 @t67) @t401)) @t770)))) % 14.71/15.03 (assume @p440 (forall (@list @t13 @t15 @t925 @t924 @t917 @t916 @t499) (=> (tptp.hBOOL (tptp.hAPP @t185 tptp.bool (tptp.hAPP @t184 @t923 @t922 (tptp.hAPP @t36 @t184 @t927 @t918)) @t915)) (=> (not (= @t926 @t918)) (not (forall @t292 (=> (tptp.hBOOL (tptp.hAPP @t185 tptp.bool (tptp.hAPP @t184 @t923 @t922 (tptp.hAPP @t36 @t184 @t927 @t289)) @t499)) (not (tptp.hBOOL (tptp.hAPP @t185 tptp.bool (tptp.hAPP @t184 @t923 @t922 (tptp.hAPP @t36 @t184 @t921 @t918)) @t915)))))))))) % 14.71/15.03 (assume @p441 (forall @t944 (=> @t943 (=> @t941 (=> (forall @t940 (=> @t939 (=> (tptp.hBOOL (tptp.hAPP @t185 tptp.bool (tptp.hAPP @t184 @t923 @t922 (tptp.hAPP @t36 @t184 (tptp.hAPP @t36 @t920 @t919 @t938) @t937)) @t915)) (=> @t934 @t931)))) @t930))))) % 14.71/15.03 (assume @p442 (forall @t944 (=> @t943 (=> @t930 (=> (forall @t940 (=> (tptp.hBOOL (tptp.hAPP @t185 tptp.bool (tptp.hAPP @t184 @t923 @t922 (tptp.hAPP @t36 @t184 @t942 @t289)) @t915)) (=> @t939 (=> @t931 @t934)))) @t941))))) % 14.71/15.03 (assume @p443 (forall @t914 (= (tptp.hAPP @t61 @t61 @t945 @t598) (tptp.hAPP tptp.nat @t61 (tptp.hAPP @t908 @t908 (tptp.hAPP @t61 @t909 @t911 @t89) (tptp.hAPP @t908 @t908 @t910 (tptp.hAPP @t61 @t908 (tptp.hAPP @t68 @t913 @t912 @t135) @t401))) @t770)))) % 14.71/15.03 (assume @p444 (forall @t769 (= (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 (tptp.hAPP @t13 @t510 @t509 @t765) @t763)) @t799)) (or (exists @t627 (and @t947 (= @t946 @t540))) (exists @t359 (and @t947 (= @t946 (tptp.ti @t13 @t230)) (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t542 @t799)) (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t539 @t230)) @t499)))))))) % 14.71/15.03 (assume @p445 (forall @t731 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t949 @t797)))) % 14.71/15.03 (assume @p446 (forall @t482 (=> @t883 @t907))) % 14.71/15.03 (assume @p447 (forall @t482 (=> @t883 @t906))) % 14.71/15.03 (assume @p448 (forall @t28 (=> @t952 (forall @t518 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t951 @t369)))))) % 14.71/15.03 (assume @p449 (forall @t959 (=> @t958 (=> @t956 @t953)))) % 14.71/15.03 (assume @p450 (forall @t964 (=> @t958 @t963))) % 14.71/15.03 (assume @p451 (forall @t967 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t42 @t192 @t954 @t966) @t846)))) % 14.71/15.03 (assume @p452 (forall @t972 (=> @t971 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t949 (tptp.hAPP @t80 @t78 @t108 @t968)))))) % 14.71/15.03 (assume @p453 (forall @t972 (=> @t971 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t973 (tptp.hAPP @t80 @t78 @t109 @t968)))))) % 14.71/15.03 (assume @p454 (forall (@list @t15 @t13 @t379 @t974 @t374) (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t42 @t192 @t954 @t974) @t374)) (tptp.hBOOL (tptp.hAPP @t40 tptp.bool @t975 (tptp.hAPP @t35 @t40 (tptp.hAPP @t42 @t41 @t39 @t974) @t379)))))) % 14.71/15.03 (assume @p455 (forall @t977 (= (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t42 @t192 @t954 (tptp.hAPP @t42 @t42 @t976 @t308)) (tptp.hAPP @t42 @t42 @t976 @t469))) (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t42 @t192 @t954 @t308) @t469))))) % 14.71/15.03 (assume @p456 (forall (@list @t13 @t245 @t290 @t703) (=> @t979 (=> @t565 @t978)))) % 14.71/15.03 (assume @p457 (forall (@list @t13 @t703 @t290 @t245) (=> @t565 (=> @t979 @t978)))) % 14.71/15.03 (assume @p458 (forall @t28 (=> @t87 (forall @t983 (=> (not @t982) @t981))))) % 14.71/15.03 (assume @p459 (forall @t31 (=> @t153 (forall (@list @t245 @t380 @t462) (=> @t985 (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t34 @t152 @t381) (tptp.hAPP @t13 @t15 @t462 @t245)))))))) % 14.71/15.03 (assume @p460 (forall @t959 (=> @t953 (not (=> @t958 (not @t956)))))) % 14.71/15.03 (assume @p461 (forall @t28 (=> @t990 (forall @t989 (=> @t981 (=> @t988 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t987 @t369)))))))) % 14.71/15.03 (assume @p462 (forall @t28 (=> @t990 (forall @t993 (=> @t981 (=> @t982 @t992)))))) % 14.71/15.03 (assume @p463 (forall @t28 (=> @t952 (forall @t996 (=> @t982 (=> @t995 @t994)))))) % 14.71/15.03 (assume @p464 (forall @t28 (=> @t990 (forall @t983 (=> @t982 (=> @t981 @t992)))))) % 14.71/15.03 (assume @p465 (forall @t28 (=> @t990 (forall @t1004 (=> @t1003 (=> @t1001 @t999)))))) % 14.71/15.03 (assume @p466 (forall @t28 (=> @t150 (forall @t1008 (=> @t1007 (=> @t1001 @t1006)))))) % 14.71/15.03 (assume @p467 (forall @t1012 (=> @t958 (=> @t1011 @t1010)))) % 14.71/15.03 (assume @p468 (forall (@list @t13 @t245 @t374 @t379) (=> @t958 (=> @t377 @t1013)))) % 14.71/15.03 (assume @p469 (forall (@list @t13 @t379 @t245 @t374) (=> @t377 (=> @t958 @t1013)))) % 14.71/15.03 (assume @p470 (forall @t28 (=> @t990 (forall @t1008 (=> @t1014 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t998 @t304)) @t999)))))) % 14.71/15.03 (assume @p471 (forall @t28 (=> @t150 (forall @t1008 (=> @t1014 (=> @t1015 @t1006)))))) % 14.71/15.03 (assume @p472 (forall @t28 (=> @t990 (forall @t1021 (=> @t1020 @t1018))))) % 14.71/15.03 (assume @p473 (forall @t28 (=> @t952 (forall @t983 (=> @t1022 @t982))))) % 14.71/15.03 (assume @p474 (forall @t959 (=> @t953 @t956))) % 14.71/15.03 (assume @p475 (forall @t959 (=> @t953 @t958))) % 14.71/15.03 (assume @p476 (forall @t28 (=> @t990 (forall @t737 (= @t602 (and @t1017 @t1020)))))) % 14.71/15.03 (assume @p477 (forall @t959 (= @t953 (and @t958 @t956)))) % 14.71/15.03 (assume @p478 (forall @t28 (=> @t87 (forall @t983 (or @t982 @t981))))) % 14.71/15.03 (assume @p479 (forall @t31 (=> @t153 (forall @t1025 (= @t985 @t1024))))) % 14.71/15.03 (assume @p480 (forall @t408 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t957 @t374)))) % 14.71/15.03 (assume @p481 (forall @t773 (= (tptp.hAPP @t61 @t61 @t1026 @t89) @t89))) % 14.71/15.03 (assume @p482 (forall @t853 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t376 @t966)) @t847))) % 14.71/15.03 (assume @p483 (forall @t817 (=> @t492 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t65 @t1028))))) % 14.71/15.03 (assume @p484 (forall @t28 (=> @t156 (forall @t1029 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1005 @t155)))))) % 14.71/15.03 (assume @p485 (forall @t28 (=> @t156 (forall @t1032 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1031 @t261)) @t1030))))) % 14.71/15.03 (assume @p486 (forall @t28 (=> @t156 (forall @t1029 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1031 @t306)) (= @t307 @t155)))))) % 14.71/15.03 (assume @p487 (forall @t408 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t957 @t531)))) % 14.71/15.03 (assume @p488 (forall @t28 (=> @t87 (forall @t819 (=> @t533 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t1033))))))) % 14.71/15.03 (assume @p489 (forall @t972 (=> (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t970 @t1034)) @t1035))) % 14.71/15.03 (assume @p490 (forall @t977 (=> (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t80 @t178 @t969 @t308) @t469)) (=> (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t80 @t178 @t969 @t469) @t1036)) (= (tptp.hAPP @t80 @t80 @t181 @t469) @t1036))))) % 14.71/15.03 (assume @p491 (forall @t972 (=> @t971 @t1035))) % 14.71/15.03 (assume @p492 (forall @t825 (= (tptp.hAPP @t61 @t61 @t1037 @t818) @t368))) % 14.71/15.03 (assume @p493 (forall @t482 (= @t559 (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t789) @t401)))) % 14.71/15.03 (assume @p494 (forall @t831 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t1038 @t849)))) % 14.71/15.03 (assume @p495 (forall @t28 (=> @t87 (forall (@list @t568 @t369 @t396) (=> @t982 (=> (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t1039)) (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 (tptp.hAPP @t61 @t61 @t370 @t1039))))))))) % 14.71/15.03 (assume @p496 (forall @t28 (=> @t87 (forall (@list @t245 @t244 @t573) (= (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 (tptp.hAPP @t61 @t61 @t561 @t1040))) (and @t1017 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t1040)))))))) % 14.71/15.03 (assume @p497 (forall @t967 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t42 @t192 @t954 @t852) @t846)))) % 14.71/15.03 (assume @p498 (forall (@list @t13 @t361 @t245 @t401 @t374) (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t1038 @t374)) (=> @t377 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t42 @t192 @t954 (tptp.hAPP @t61 @t42 @t127 @t1041)) @t374)))))) % 14.71/15.03 (assume @p499 (forall @t579 (= (= @t578 @t573) (and (= @t401 (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t706) @t573)) (= @t574 (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t67 @t706) @t573)))))) % 14.71/15.03 (assume @p500 (forall @t28 (=> @t87 (forall @t1044 (= @t1043 (and @t592 @t1042)))))) % 14.71/15.03 (assume @p501 (forall @t28 (=> @t87 (forall (@list @t401 @t574) (= (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t578)) (and @t592 @t863 (forall @t344 (=> @t855 (forall @t342 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t902 @t862)) @t1046)))))))))) % 14.71/15.03 (assume @p502 (forall @t731 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t78 @t504 @t948 (tptp.hAPP @t80 @t78 @t109 @t799)) @t797)))) % 14.71/15.03 (assume @p503 (forall @t28 (=> @t87 (forall @t1032 (= (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t261)) (or (= @t261 @t89) (exists (@list @t476 @t338) (and (= @t261 @t478) (forall @t342 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t902 (tptp.hAPP @t61 @t42 @t127 @t476))) @t1046)) (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t476)))))))))) % 14.71/15.03 (assume @p504 (forall @t28 (=> @t87 (forall @t1044 (=> @t1042 (=> @t592 @t1043)))))) % 14.71/15.03 (assume @p505 (forall (@list @t13 @t379 @t374) (=> (forall @t344 (=> @t452 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t451 @t379)))) @t958))) % 14.71/15.03 (assume @p506 (forall (@list @t15 @t13 @t379 @t1009 @t374) (=> (forall @t344 (=> @t452 (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t34 @t201 (tptp.ord_less_eq @t34) @t448) (tptp.hAPP @t13 @t34 @t1009 @t338))))) (tptp.hBOOL (tptp.hAPP @t40 tptp.bool @t975 (tptp.hAPP @t35 @t40 @t386 @t1009)))))) % 14.71/15.03 (assume @p507 (forall @t31 (=> @t153 (forall @t1025 (=> @t1024 @t985))))) % 14.71/15.03 (assume @p508 (forall (@list @t13 @t499 @t1047) (=> (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t970 @t1047)) (=> (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t1048 @t1047)) (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t973 (tptp.hAPP @t80 @t78 @t108 @t1047))))))) % 14.71/15.03 (assume @p509 (forall @t584 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1050 @t719)) (not (= @t368 @t790))))) % 14.71/15.03 (assume @p510 (forall @t1052 (=> @t1051 (= @t1033 @t368)))) % 14.71/15.03 (assume @p511 (forall (@list @t13 @t369 @t368 @t774) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1050 @t774)) (= @t807 @t368)))) % 14.71/15.03 (assume @p512 (forall @t482 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t789) @t706)))) % 14.71/15.03 (assume @p513 (forall @t482 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t1053) @t706)))) % 14.71/15.03 (assume @p514 (forall (@list @t13 @t15 @t308 @t469) (= (tptp.hBOOL (tptp.hAPP @t35 tptp.bool (tptp.hAPP @t35 @t1062 @t1061 (tptp.hAPP @t37 @t35 @t1060 @t308)) (tptp.hAPP @t37 @t35 @t1060 @t469))) (tptp.hBOOL (tptp.hAPP @t37 tptp.bool (tptp.hAPP @t37 @t311 @t1054 @t308) @t469))))) % 14.71/15.03 (assume @p515 (forall @t731 (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t1048 @t799)))) % 14.71/15.03 (assume @p516 (forall (@list @t13 @t401 @t1063 @t770) (=> @t1065 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t42 @t192 @t954 (tptp.hAPP @t61 @t42 @t127 (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t1063) @t401))) @t966))))) % 14.71/15.03 (assume @p517 (forall (@list @t13 @t401 @t770 @t1063) (=> @t1067 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t42 @t192 @t954 (tptp.hAPP @t61 @t42 @t127 (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t67 @t1063) @t401))) @t852))))) % 14.71/15.03 (assume @p518 (forall @t1052 (=> @t1051 (= @t818 @t89)))) % 14.71/15.03 (assume @p519 (forall @t967 (= (= @t851 @t89) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t706) @t770))))) % 14.71/15.03 (assume @p520 (forall (@list @t13 @t1070 @t1069 @t1071 @t1068) (= (= (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t1070) @t1069) (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t1071) @t1068)) (and (=> @t1074 (and (= @t1070 (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t1073) @t1071)) (= @t1069 (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t67 @t1073) @t1071)) @t1068)))) (=> (not @t1074) (and (= (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t1072) @t1070) @t1071) (= (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t67 @t1072) @t1070)) @t1069) @t1068))))))) % 14.71/15.03 (assume @p521 (forall @t731 (= @t1076 (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t1048 (tptp.hAPP @t80 @t80 (tptp.collect @t79) (tptp.hAPP @t56 @t80 @t1075 @t499))))))) % 14.71/15.03 (assume @p522 (forall (@list @t13 @t261 @t374 @t499) (=> @t1078 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t1077 @t374)) (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t836 @t499)))))) % 14.71/15.03 (assume @p523 (forall @t1079 (=> @t1078 (=> @t633 @t377)))) % 14.71/15.03 (assume @p524 (forall @t1079 (=> @t1078 (=> @t633 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t848 @t374)))))) % 14.71/15.03 (assume @p525 (forall @t825 (=> @t521 (= @t1083 (tptp.hAPP @t61 @t61 @t762 @t1080))))) % 14.71/15.03 (assume @p526 (forall (@list @t15 @t13 @t703 @t290 @t245 @t244) (=> @t1087 (=> @t1085 @t1084)))) % 14.71/15.03 (assume @p527 (forall (@list @t13 @t15 @t245 @t244 @t290 @t703) (=> @t1085 (=> @t1087 @t1084)))) % 14.71/15.03 (assume @p528 (forall @t535 (=> @t1076 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t783 @t245))))) % 14.71/15.03 (assume @p529 (forall @t781 (= (tptp.hAPP @t61 @t61 @t1082 @t371) (tptp.hAPP @t61 @t61 @t370 @t1033)))) % 14.71/15.03 (assume @p530 (forall @t781 (= (tptp.hAPP @t61 @t61 @t1088 @t371) @t818))) % 14.71/15.03 (assume @p531 (forall (@list @t13 @t369 @t368 @t774 @t396) (= (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t1090 @t1089) @t396) (tptp.hAPP @t61 @t61 @t370 @t809)))) % 14.71/15.03 (assume @p532 (forall @t777 (= (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t124 @t1081) @t369) (tptp.hAPP @t61 @t61 @t370 @t776)))) % 14.71/15.03 (assume @p533 (forall @t825 (= @t1080 (tptp.hAPP @t61 @t61 @t137 @t1083)))) % 14.71/15.03 (assume @p534 (forall @t825 (= (tptp.hAPP @t61 @t61 @t1088 @t368) @t827))) % 14.71/15.03 (assume @p535 (forall (@list @t15 @t13 @t703 @t290) (=> (forall @t468 (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t34 @t290 @t338) @t398)) (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t34 @t703 @t338) @t398)))) @t1085))) % 14.71/15.03 (assume @p536 (forall @t967 (= (= @t1092 @t706) @t1091))) % 14.71/15.03 (assume @p537 (forall (@list @t13 @t401 @t770) (= (= @t706 @t1092) @t1091))) % 14.71/15.03 (assume @p538 (forall @t825 (=> @t1096 (= (tptp.hAPP @t61 @t61 @t1037 (tptp.hAPP @t61 @t61 (tptp.hAPP @t13 @t62 @t88 @t1093) @t89)) @t1083)))) % 14.71/15.03 (assume @p539 (forall @t983 (=> @t1100 @t1098))) % 14.71/15.03 (assume @p540 (forall @t28 (=> @t87 (forall @t737 (= @t1103 @t1020))))) % 14.71/15.03 (assume @p541 (forall @t28 (=> @t87 (forall @t737 (= (not @t1017) @t1105))))) % 14.71/15.03 (assume @p542 (forall @t28 (=> @t87 (forall @t983 (or @t982 @t1107))))) % 14.71/15.03 (assume @p543 (forall @t28 (=> @t990 (forall @t737 (= @t1102 (and @t1017 @t1108)))))) % 14.71/15.03 (assume @p544 (forall @t28 (=> @t952 (forall @t737 (= @t1102 (and @t1017 (not @t1020))))))) % 14.71/15.03 (assume @p545 (forall @t28 (=> @t990 (forall @t737 (= @t1017 (or @t1102 @t602)))))) % 14.71/15.03 (assume @p546 (forall @t28 (=> @t87 (forall @t983 (=> @t1111 @t981))))) % 14.71/15.03 (assume @p547 (forall @t28 (=> @t87 (forall @t993 (=> (not @t981) @t1110))))) % 14.71/15.03 (assume @p548 (forall @t28 (=> @t87 (forall @t737 (=> @t1103 @t1018))))) % 14.71/15.03 (assume @p549 (forall @t28 (=> @t990 (forall @t334 (=> @t1114 (=> @t1007 @t1113)))))) % 14.71/15.03 (assume @p550 (forall @t28 (=> @t990 (forall @t334 (=> @t1114 (=> @t1003 @t1116)))))) % 14.71/15.03 (assume @p551 (forall @t28 (=> @t87 (forall @t993 (=> @t981 @t1111))))) % 14.71/15.03 (assume @p552 (forall @t28 (=> @t952 (forall @t983 (=> @t1110 @t982))))) % 14.71/15.03 (assume @p553 (forall @t28 (=> @t87 (forall @t737 (=> @t1017 @t1117))))) % 14.71/15.03 (assume @p554 (forall @t28 (=> @t990 (forall @t983 (=> @t982 (or @t1110 @t992)))))) % 14.71/15.03 (assume @p555 (forall @t28 (=> @t990 (forall @t334 (=> @t1007 (=> @t1114 @t1113)))))) % 14.71/15.03 (assume @p556 (forall @t28 (=> @t990 (forall @t1118 (=> @t1003 (=> @t1114 @t1116)))))) % 14.71/15.03 (assume @p557 (forall @t28 (=> @t952 (forall @t996 (=> @t1110 (=> @t995 @t1119)))))) % 14.71/15.03 (assume @p558 (forall @t28 (=> @t990 (forall @t989 (=> @t1107 (=> @t988 @t1121)))))) % 14.71/15.03 (assume @p559 (forall @t28 (=> @t952 (forall @t996 (=> @t982 @t1122))))) % 14.71/15.03 (assume @p560 (forall @t28 (=> @t990 (forall @t989 (=> @t981 @t1123))))) % 14.71/15.03 (assume @p561 (forall @t28 (=> @t952 (forall @t518 (not (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1109 @t369))))))) % 14.71/15.03 (assume @p562 (forall @t28 (=> @t87 (forall @t737 (= @t1108 (or @t1102 @t1105)))))) % 14.71/15.03 (assume @p563 (forall @t28 (=> @t87 (forall @t737 (= @t1103 (or @t1105 @t602)))))) % 14.71/15.03 (assume @p564 (forall @t28 (=> @t87 (forall @t983 (or @t1110 @t992 @t1107))))) % 14.71/15.03 (assume @p565 (forall @t28 (=> @t87 (forall @t1021 (=> (not @t1105) @t1117))))) % 14.71/15.03 (assume @p566 (forall @t28 (=> @t87 @t1125))) % 14.71/15.03 (assume @p567 (forall @t28 (=> @t990 (forall @t983 (=> @t1110 @t1124))))) % 14.71/15.03 (assume @p568 (forall @t28 (=> @t952 (forall @t983 (=> @t1110 (not @t1107)))))) % 14.71/15.03 (assume @p569 (forall @t28 (=> @t990 (forall @t983 (=> @t1110 (not (= @t991 @t526))))))) % 14.71/15.03 (assume @p570 (forall @t28 (=> @t952 (forall (@list @t290 @t245 @t244) (=> @t1102 (=> @t1105 @t752)))))) % 14.71/15.03 (assume @p571 (forall @t28 (=> @t952 (forall @t334 (=> @t1113 (not @t1116)))))) % 14.71/15.03 (assume @p572 (forall @t28 (=> @t990 (forall @t1118 (=> @t1116 (not @t1113)))))) % 14.71/15.03 (assume @p573 (forall @t28 (=> @t150 (forall @t1008 (=> @t1014 (=> @t1127 @t1126)))))) % 14.71/15.03 (assume @p574 (forall @t28 (=> @t990 (forall @t1008 (=> @t1014 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1128 @t304)) @t1129)))))) % 14.71/15.03 (assume @p575 (forall @t28 (=> @t150 (forall @t1008 (=> @t1113 (=> @t1001 @t1126)))))) % 14.71/15.03 (assume @p576 (forall @t28 (=> @t990 (forall @t1004 (=> @t1116 (=> @t1001 @t1129)))))) % 14.71/15.03 (assume @p577 (forall @t28 (=> @t952 (forall @t996 (=> @t1110 @t1122))))) % 14.71/15.03 (assume @p578 (forall @t28 (=> @t990 (forall @t989 (=> @t1107 @t1123))))) % 14.71/15.03 (assume @p579 (forall @t28 (=> @t87 (forall @t983 (=> @t1111 (=> @t1124 @t1107)))))) % 14.71/15.03 (assume @p580 (forall @t28 (=> @t156 (forall @t1029 (not (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t155) @t306))))))) % 14.71/15.03 (assume @p581 (forall @t28 (=> @t156 (forall @t1032 (= (not @t1030) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1130 @t155))))))) % 14.71/15.03 (assume @p582 (forall @t853 (=> @t1132 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t376 (tptp.hAPP @t61 @t42 @t127 (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t821 @t770) @t245))))))) % 14.71/15.03 (assume @p583 (forall (@list @t13 @t435 @t369 @t774 @t368) (=> @t1135 (= (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t1133 @t774) @t369) (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t807) @t435))))) % 14.71/15.03 (assume @p584 (forall @t825 (=> @t1096 (= (tptp.hAPP @t61 @t61 @t1026 @t519) @t1033)))) % 14.71/15.03 (assume @p585 (forall @t825 (=> @t1096 (= (tptp.hAPP @t61 @t13 @t75 @t818) @t522)))) % 14.71/15.03 (assume @p586 @t1140) % 14.71/15.03 (assume @p587 (forall @t1141 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1095 @t1081)))) % 14.71/15.03 (assume @p588 (forall @t1148 (=> @t1147 @t1145))) % 14.71/15.03 (assume @p589 (forall @t731 (= (tptp.hAPP @t80 @t78 @t76 @t499) (tptp.hAPP @t78 @t78 (tptp.collect @t77) (tptp.hAPP @t111 @t78 (tptp.product_prod_case @t61 @t61 tptp.bool) (tptp.hAPP @t111 @t111 (tptp.hAPP @t1171 @t1175 @t1174 (tptp.hAPP @t1168 @t1171 @t1173 (tptp.hAPP @t111 @t1168 (tptp.hAPP @t1165 @t1169 @t1167 (tptp.hAPP @t194 @t1165 @t1163 tptp.fdisj)) (tptp.hAPP @t100 @t111 (tptp.hAPP @t1159 @t1162 @t1161 (tptp.hAPP @t1155 @t1159 @t1160 (tptp.hAPP @t100 @t1155 (tptp.hAPP @t1157 @t1156 @t1154 @t1094) @t146))) @t146)))) (tptp.hAPP @t111 @t111 (tptp.hAPP @t1171 @t1175 @t1174 (tptp.hAPP @t1168 @t1171 @t1173 (tptp.hAPP @t111 @t1168 (tptp.hAPP @t1165 @t1169 @t1167 @t1166) (tptp.hAPP @t100 @t111 (tptp.hAPP @t1159 @t1162 @t1161 (tptp.hAPP @t1155 @t1159 @t1160 (tptp.hAPP @t100 @t1155 (tptp.hAPP @t1157 @t1156 @t1154 (tptp.fequal tptp.nat)) @t146))) @t146)))) (tptp.hAPP @t78 @t111 (tptp.hAPP @t1153 (tptp.fun @t78 @t111) (tptp.combc @t61 @t78 @t66) (tptp.hAPP @t1151 @t1153 (tptp.hAPP (tptp.fun @t1149 @t1152) (tptp.fun @t1151 @t1153) (tptp.combb @t1149 @t1152 @t61) (tptp.combc @t61 @t78 tptp.bool)) (tptp.hAPP @t675 @t1151 (tptp.hAPP @t1150 (tptp.fun @t675 @t1151) (tptp.combb @t123 @t1149 @t61) (tptp.hAPP (tptp.fun @t77 @t504) @t1150 (tptp.combb @t77 @t504 @t61) @t503)) @t501))) @t671)))))))) % 14.71/15.03 (assume @p590 (forall @t344 (= (tptp.hAPP tptp.nat @t133 @t1094 @t338) (tptp.hAPP tptp.nat @t133 @t1049 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t338))))) % 14.71/15.03 (assume @p591 (forall @t31 (=> @t153 (forall @t1025 (= (tptp.hBOOL (tptp.hAPP @t18 tptp.bool (tptp.hAPP @t18 @t40 (tptp.ord_less @t18) @t380) @t462)) (and @t985 (not (tptp.hBOOL (tptp.hAPP @t18 tptp.bool (tptp.hAPP @t18 @t40 @t984 @t462) @t380))))))))) % 14.71/15.03 (assume @p592 (forall @t959 (= @t1178 (and @t958 (not @t953))))) % 14.71/15.03 (assume @p593 (forall @t959 (= @t958 (or @t1178 @t953)))) % 14.71/15.03 (assume @p594 (forall @t959 (=> @t1178 @t958))) % 14.71/15.03 (assume @p595 (forall @t1012 (=> @t1178 (=> @t1011 @t1179)))) % 14.71/15.03 (assume @p596 (forall @t1012 (=> @t958 @t1180))) % 14.71/15.03 (assume @p597 (forall @t1141 (not (= @t771 @t1081)))) % 14.71/15.03 (assume @p598 (forall @t1141 (not (= @t1081 @t771)))) % 14.71/15.03 (assume @p599 (forall (@list @t1182 @t1181) (= (= @t1183 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1181)) (= @t1182 @t1181)))) % 14.71/15.03 (assume @p600 (forall @t983 (=> (= (tptp.hAPP tptp.nat tptp.nat tptp.suc @t369) (tptp.hAPP tptp.nat tptp.nat tptp.suc @t396)) @t1022))) % 14.71/15.03 (assume @p601 (forall @t1141 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1095 @t771))))) % 14.71/15.03 (assume @p602 (forall @t1189 (= @t1188 (or @t1186 @t1184)))) % 14.71/15.03 (assume @p603 (forall @t983 (=> (not @t1022) (=> (not @t1100) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 @t396) @t369)))))) % 14.71/15.03 (assume @p604 (forall @t1193 (=> @t1192 @t1191))) % 14.71/15.03 (assume @p605 (forall (@list @t1195 @t1194) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 @t1195) @t1194)) (not (= @t1195 @t1194))))) % 14.71/15.03 (assume @p606 (forall (@list @t290 @t1063 @t770) (=> (=> @t1186 @t1196) (=> (=> @t1187 @t1196) (=> (=> @t1184 @t1196) @t1196))))) % 14.71/15.03 (assume @p607 (forall @t1141 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1197 @t771)))) % 14.71/15.03 (assume @p608 (forall @t1148 (or @t1200 @t1198))) % 14.71/15.03 (assume @p609 (forall @t1148 (=> @t1190 @t1200))) % 14.71/15.03 (assume @p610 (forall @t1204 (=> @t1203 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t1202) @t778)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1201 @t778)))))) % 14.71/15.03 (assume @p611 (forall @t1148 (=> @t1200 (=> @t1198 @t1190)))) % 14.71/15.03 (assume @p612 (forall @t1148 (=> @t1145 @t1147))) % 14.71/15.03 (assume @p613 (forall @t1148 (=> @t1205 @t1147))) % 14.71/15.03 (assume @p614 (forall @t1148 (=> @t1207 (=> @t1206 @t1190)))) % 14.71/15.03 (assume @p615 (forall @t1204 (=> @t1211 (=> @t1210 @t1208)))) % 14.71/15.03 (assume @p616 (forall @t1148 (=> @t1147 (=> (not (= @t1143 @t771)) @t1205)))) % 14.71/15.03 (assume @p617 (forall @t1148 (=> @t1147 @t1207))) % 14.71/15.03 (assume @p618 (forall @t1193 (=> (not @t1192) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1095 @t1143)) @t1190)))) % 14.71/15.03 (assume @p619 (forall @t1215 (=> (not @t1184) @t1214))) % 14.71/15.03 (assume @p620 (forall @t1189 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 @t1212) @t1092)) @t1186))) % 14.71/15.03 (assume @p621 (forall @t1189 (= @t1217 @t1216))) % 14.71/15.03 (assume @p622 (forall @t1189 (= (not @t1186) @t1213))) % 14.71/15.03 (assume @p623 (forall @t1141 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1218 @t771))))) % 14.71/15.03 (assume @p624 (forall @t1189 (= (not @t1065) @t1220))) % 14.71/15.03 (assume @p625 (forall @t1189 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1064 @t1092)) (or @t1065 (= @t1063 @t1092))))) % 14.71/15.03 (assume @p626 (forall @t1215 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1219 @t1212)) @t1067))) % 14.71/15.03 (assume @p627 (forall @t1148 (=> @t1200 @t1221))) % 14.71/15.03 (assume @p628 (forall @t1148 (=> @t1221 (=> (not @t1200) (= @t1142 @t1081))))) % 14.71/15.03 (assume @p629 (forall @t1148 (=> @t1222 @t1200))) % 14.71/15.03 (assume @p630 (forall @t1148 (=> (or @t1147 @t1190) @t1200))) % 14.71/15.03 (assume @p631 (forall @t1148 (=> @t1200 (=> @t1191 @t1147)))) % 14.71/15.03 (assume @p632 (forall @t1148 (=> @t1147 @t1200))) % 14.71/15.03 (assume @p633 (forall @t1189 (= @t1065 @t1216))) % 14.71/15.03 (assume @p634 (forall @t1189 (= @t1186 (and @t1065 @t1188)))) % 14.71/15.03 (assume @p635 (forall (@list @t13 @t349 @t416 @t1182) (= (tptp.hAPP tptp.nat @t13 @t1223 @t1183) (tptp.hAPP tptp.nat @t13 @t416 @t1182)))) % 14.71/15.03 (assume @p636 (forall @t1215 (= @t1184 @t1220))) % 14.71/15.03 (assume @p637 (forall @t1189 (= @t1217 @t1065))) % 14.71/15.03 (assume @p638 (forall @t1189 (= @t1224 @t1186))) % 14.71/15.03 (assume @p639 (forall @t1148 (=> @t1200 @t1207))) % 14.71/15.03 (assume @p640 (forall @t1148 (=> @t1147 @t1222))) % 14.71/15.03 (assume @p641 (forall @t1189 (=> @t1065 @t1214))) % 14.71/15.03 (assume @p642 (forall @t1148 (=> @t1222 @t1147))) % 14.71/15.03 (assume @p643 (forall (@list @t290 @t361 @t1227) (=> @t1231 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t290 @t1227)) (=> (forall @t229 (=> @t1229 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t290 @t1226)) @t1225))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t290 @t361))))))) % 14.71/15.03 (assume @p644 (forall @t28 (=> @t990 (forall @t1240 (=> (forall @t1239 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t1238) @t1237))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1066 @t1232)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t1234) @t1233)))))))) % 14.71/15.03 (assume @p645 (forall @t28 (=> @t990 (forall @t1240 (=> @t1242 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1131 @t1232)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1241 @t1233)))))))) % 14.71/15.03 (assume @p646 (forall @t28 (=> @t990 (forall (@list @t770 @t1063 @t380) (=> @t1242 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1241 (tptp.hAPP tptp.nat @t13 @t380 @t1063))) @t1184)))))) % 14.71/15.03 (assume @p647 (forall @t964 (=> @t1178 @t963))) % 14.71/15.03 (assume @p648 (forall @t1012 (=> @t1178 @t1180))) % 14.71/15.03 (assume @p649 (forall @t1189 (= @t1224 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP @t133 @t133 (tptp.hAPP tptp.bool @t1243 (tptp.nat_case tptp.bool) tptp.fFalse) @t1064) @t770))))) % 14.71/15.03 (assume @p650 (forall (@list @t13 @t15 @t968 @t499) (=> (forall @t468 (=> (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t1244 @t499)) (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t1244 @t968)))) (tptp.hBOOL (tptp.hAPP @t37 tptp.bool (tptp.hAPP @t37 @t311 @t1054 @t499) @t968))))) % 14.71/15.03 (assume @p651 (forall (@list @t361 @t1227 @t380) (=> (forall @t1247 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1228 @t1245)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 @t1246) (tptp.hAPP tptp.nat tptp.nat @t380 @t1245))))) (=> @t1231 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 (tptp.hAPP tptp.nat tptp.nat @t380 @t361)) (tptp.hAPP tptp.nat tptp.nat @t380 @t1227))))))) % 14.71/15.03 (assume @p652 (forall (@list @t771 @t1250) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1218 @t1250)) (exists @t1251 (= @t1250 @t1249))))) % 14.71/15.03 (assume @p653 (forall @t1256 (=> @t1255 (=> (not (= @t778 @t1089)) @t1254)))) % 14.71/15.03 (assume @p654 (forall @t1256 (=> @t1208 @t1254))) % 14.71/15.03 (assume @p655 (forall @t28 (=> @t1258 (forall (@list @t986 @t396) (=> (forall @t344 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1257 @t396)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1045 @t986)))) @t995))))) % 14.71/15.03 (assume @p656 (forall @t28 (=> @t1258 (forall @t996 (=> @t1110 (=> (forall @t464 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1109 @t463)) (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t463) @t396)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t463) @t986))))) @t995)))))) % 14.71/15.03 (assume @p657 (forall @t117 (=> (and @t990 @t153) (forall @t1266 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t1265) @t261)) (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool @t1264 @t265)) (=> (forall @t468 (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t34 @t1263 @t398) @t338)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t1262) @t1261)))) @t1260))))))) % 14.71/15.03 (assume @p658 (forall @t117 (=> @t1269 (forall @t1266 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t1265) @t261)) (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool @t1267 @t265)) (=> (forall @t468 (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t34 @t152 @t398) @t338)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t1262) @t1261)))) @t1260))))))) % 14.71/15.03 (assume @p659 (forall @t31 (=> @t1273 (forall @t1272 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1271 @t1265)) (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t34 @t1263 @t265) @t471)) (=> (forall @t468 (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t34 @t1263 @t338) @t398)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t1261) @t1262)))) @t1270))))))) % 14.71/15.03 (assume @p660 (forall @t117 (=> @t1269 (forall @t1266 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t265) @t261)) (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool @t1267 @t1277)) (=> (forall @t468 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t398) @t338)) (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t34 @t1263 @t1276) @t449)))) @t1275))))))) % 14.71/15.03 (assume @p661 (forall @t117 (=> @t1269 (forall @t1266 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t265) @t261)) (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool @t1264 @t1277)) (=> (forall @t468 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t398) @t338)) (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t34 @t152 @t1276) @t449)))) @t1275))))))) % 14.71/15.03 (assume @p662 (forall @t31 (=> @t1273 (forall @t1280 (=> @t1279 (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t34 @t152 @t1277) @t471)) (=> (forall @t468 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1257 @t398)) (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t34 @t1263 @t449) @t1276)))) @t1278))))))) % 14.71/15.03 (assume @p663 (forall @t31 (=> @t1273 (forall @t1272 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1130 @t1265)) (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t34 @t152 @t265) @t471)) (=> (forall @t468 (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t34 @t152 @t338) @t398)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t1261) @t1262)))) @t1270))))))) % 14.71/15.03 (assume @p664 (forall @t31 (=> @t1273 (forall @t1280 (=> @t1281 (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t34 @t1263 @t1277) @t471)) (=> (forall @t468 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1045 @t398)) (tptp.hBOOL (tptp.hAPP @t15 tptp.bool @t1023 @t1276)))) @t1278))))))) % 14.71/15.03 (assume @p665 (forall @t817 (=> @t1135 (= @t368 (tptp.hAPP @t61 @t61 @t1138 @t1285))))) % 14.71/15.03 (assume @p666 (forall (@list @t13 @t368 @t774) (= (tptp.hAPP @t13 @t61 @t806 @t1283) @t368))) % 14.71/15.03 (assume @p667 (forall (@list @t13 @t368 @t369 @t774 @t1202) @t1290)) % 14.71/15.03 (assume @p668 (forall @t1293 (= (tptp.hAPP tptp.nat @t13 @t1292 @t1081) @t1291))) % 14.71/15.03 (assume @p669 (forall @t589 (= @t603 (and @t707 (forall @t229 (=> @t1297 (= @t1296 (tptp.hAPP tptp.nat @t13 @t1294 @t220)))))))) % 14.71/15.03 (assume @p670 (forall (@list @t13 @t368 @t774 @t771) (=> @t1298 (= (tptp.hAPP tptp.nat @t13 (tptp.hAPP @t61 @t119 @t118 @t1033) @t774) @t1283)))) % 14.71/15.03 (assume @p671 (forall (@list @t13 @t771 @t368 @t396 @t435) (=> (= @t818 @t439) (= @t1291 @t991)))) % 14.71/15.03 (assume @p672 (forall (@list @t13 @t369 @t774 @t771) (=> @t1298 (= (tptp.hAPP tptp.nat @t13 (tptp.hAPP @t61 @t119 @t118 @t776) @t774) @t526)))) % 14.71/15.03 (assume @p673 (forall (@list @t13 @t245 @t401 @t770) (= (tptp.hAPP tptp.nat @t13 (tptp.hAPP @t61 @t119 @t118 @t598) @t770) (tptp.hAPP tptp.nat @t13 (tptp.hAPP @t119 @t119 (tptp.hAPP @t13 @t144 @t143 @t245) @t1295) @t770)))) % 14.71/15.03 (assume @p674 (forall @t967 (=> @t1132 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t13 @t192 @t375 @t1299) @t846))))) % 14.71/15.03 (assume @p675 (forall @t482 (= @t856 @t1302))) % 14.71/15.03 (assume @p676 (forall @t832 (= @t847 (exists @t229 (and @t1297 (= @t1296 @t601)))))) % 14.71/15.03 (assume @p677 (forall (@list @t13 @t368 @t369 @t435) (= (tptp.hAPP tptp.nat @t13 (tptp.hAPP @t61 @t119 @t118 @t791) @t720) @t526))) % 14.71/15.03 (assume @p678 (forall (@list @t13 @t1227 @t361 @t401) (=> @t554 (=> @t1307 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1305 @t706)) (= (= @t1304 @t1303) (= @t361 @t1227))))))) % 14.71/15.03 (assume @p679 (forall @t406 (= @t554 (forall @t229 (=> @t1297 (forall @t1253 (=> @t1310 (=> (not (= @t220 @t1245)) (not (= @t1296 @t1308)))))))))) % 14.71/15.03 (assume @p680 (forall (@list @t13 @t369 @t1202 @t774 @t368) (=> @t1135 (and (=> @t1289 (= @t1288 @t526)) @t1290)))) % 14.71/15.03 (assume @p681 (forall (@list @t13 @t245 @t361 @t401) (=> @t1307 (= (= @t1041 @t401) (= @t1304 @t601))))) % 14.71/15.03 (assume @p682 (forall (@list @t13 @t369 @t774 @t368) (=> @t1135 (= (tptp.hAPP tptp.nat @t13 @t1287 @t774) @t526)))) % 14.71/15.03 (assume @p683 (forall @t482 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 @t789) @t706)) (not (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t290 (tptp.hAPP tptp.nat @t13 @t1295 @t789))))))) % 14.71/15.03 (assume @p684 (forall @t1311 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1305 @t789)) (= (tptp.hAPP tptp.nat @t13 (tptp.hAPP @t61 @t119 @t118 @t559) @t1227) @t1303)))) % 14.71/15.03 (assume @p685 (forall @t28 (=> @t87 (forall @t1313 (=> @t533 (=> @t1203 (=> @t1312 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t1283) @t1286))))))))) % 14.71/15.03 (assume @p686 (forall @t28 (=> @t87 (forall (@list @t401) (= @t592 (forall @t1253 (=> @t1310 (forall @t229 (=> @t1314 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t1296) @t1308))))))))))) % 14.71/15.03 (assume @p687 (forall @t817 (=> @t1135 (= @t1285 @t816)))) % 14.71/15.03 (assume @p688 (forall @t659 (= @t711 (and @t707 (forall @t1239 (=> @t1317 (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t1315 (tptp.hAPP tptp.nat @t13 @t1294 @t1235))) @t499)))))))) % 14.71/15.03 (assume @p689 (forall @t825 (=> @t521 (=> @t1096 (= @t1093 @t1291))))) % 14.71/15.03 (assume @p690 (forall @t28 (=> @t87 (forall @t1313 (=> (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t86 @t788)) (=> @t1203 (=> @t1312 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t1286) @t1283))))))))) % 14.71/15.03 (assume @p691 (forall @t817 (=> @t1135 (= (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t1089) @t368) (tptp.hAPP @t61 @t61 @t1138 (tptp.hAPP @t61 @t61 @t1284 @t89)))))) % 14.71/15.03 (assume @p692 (forall @t659 (= @t636 (exists (@list @t398 @t1235) (and (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t1315 @t398)) @t499)) @t1317 (= @t574 (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t821 @t1235) @t398))))))) % 14.71/15.03 (assume @p693 (forall @t28 (=> @t87 (forall @t534 (=> (forall @t1247 (=> @t1314 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1309 @t720)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t1318) (tptp.hAPP tptp.nat @t13 @t1282 @t1245)))))) @t533))))) % 14.71/15.03 (assume @p694 (forall (@list @t13 @t290 @t401 @t770) (=> (forall @t229 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1228 @t770)) @t1301)) (=> (=> @t1132 (not @t1319)) (= @t559 @t965))))) % 14.71/15.03 (assume @p695 (forall (@list @t13 @t290 @t401 @t1227) (=> (forall @t229 (=> @t1229 @t1300)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1320 @t706)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1320 @t789)))))) % 14.71/15.03 (assume @p696 (forall (@list @t13 @t435 @t778 @t368) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1324 @t720)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1324 @t719)) (=> (forall @t229 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1228 @t778)) @t1323)) (= (tptp.hAPP @t61 @t61 @t1321 @t368) (tptp.hAPP @t61 @t61 @t1321 @t435))))))) % 14.71/15.03 (assume @p697 (forall @t857 (=> @t1302 (=> @t847 @t565)))) % 14.71/15.03 (assume @p698 (forall (@list @t13 @t290 @t770 @t401) (=> @t1132 (=> @t856 @t1319)))) % 14.71/15.03 (assume @p699 (forall @t591 (=> @t721 (=> (forall @t229 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1228 @t720)) @t1323)) @t590)))) % 14.71/15.03 (assume @p700 (forall (@list @t13 @t290 @t820) (= (forall @t229 (=> @t1326 (exists @t295 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1325 @t293))))) (exists @t772 (and (= @t741 @t820) (forall @t229 (=> @t1326 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1325 (tptp.hAPP tptp.nat @t13 (tptp.hAPP @t61 @t119 @t118 @t476) @t220)))))))))) % 14.71/15.03 (assume @p701 (forall @t543 (= @t506 (or (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 @t735) @t734)) (= (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t735) @t244) @t245)) (exists @t229 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1228 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1328 @t735) @t734))) (= (tptp.hAPP @t61 @t61 @t1327 @t245) (tptp.hAPP @t61 @t61 @t1327 @t244)) (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 (tptp.hAPP @t13 @t510 @t509 (tptp.hAPP tptp.nat @t13 (tptp.hAPP @t61 @t119 @t118 @t245) @t220)) (tptp.hAPP tptp.nat @t13 (tptp.hAPP @t61 @t119 @t118 @t244) @t220))) @t499)))))))) % 14.71/15.03 (assume @p702 (forall @t731 (=> (forall @t344 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t787 @t338))) @t1076))) % 14.71/15.03 (assume @p703 (forall @t1311 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1305 @t1053)) (= (tptp.hAPP tptp.nat @t13 (tptp.hAPP @t61 @t119 @t118 @t670) @t1227) (tptp.hAPP tptp.nat @t13 @t1295 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1329 @t1227) @t789)))))) % 14.71/15.03 (assume @p704 (forall @t28 (=> @t87 (forall (@list @t249 @t245 @t244) (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1330 @t1331)) (and (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1330 @t245)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1330 @t244)))))))) % 14.71/15.03 (assume @p705 (forall @t28 (=> @t87 (forall @t1332 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t1331) @t249)) (or (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1101 @t249)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1104 @t249)))))))) % 14.71/15.03 (assume @p706 (forall @t996 (=> @t1100 @t1335))) % 14.71/15.03 (assume @p707 (forall @t1336 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1099 @t986)) @t1335))) % 14.71/15.03 (assume @p708 (forall @t1340 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1339 @t778)) @t1255))) % 14.71/15.03 (assume @p709 (forall (@list @t1142 @t771 @t778 @t1343) (=> @t1345 (=> (= (tptp.hAPP tptp.nat tptp.nat @t1344 @t1343) @t1342) @t1147)))) % 14.71/15.03 (assume @p710 (forall @t1350 (=> @t1211 (=> @t1345 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1349 @t1347)))))) % 14.71/15.03 (assume @p711 (forall @t1204 (=> @t1211 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1349 @t1351))))) % 14.71/15.03 (assume @p712 (forall @t1353 (=> @t1211 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1134 @t1352))))) % 14.71/15.03 (assume @p713 (forall @t1353 (=> @t1211 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1134 @t1354))))) % 14.71/15.03 (assume @p714 (forall @t1358 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 @t1357) @t1356)) @t1186))) % 14.71/15.03 (assume @p715 (forall (@list @t1202 @t774) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 @t1359) @t774))))) % 14.71/15.03 (assume @p716 (forall @t1360 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1339 @t774))))) % 14.71/15.03 (assume @p717 (forall @t1365 (= (tptp.hAPP @t61 @t61 @t812 @t1364) (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t67 @t1362) @t368)))) % 14.71/15.03 (assume @p718 (forall @t1365 (= (tptp.hAPP @t61 @t61 @t1026 @t1367) (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 (tptp.hAPP tptp.nat tptp.nat @t1366 @t1142)) @t368)))) % 14.71/15.03 (assume @p719 (forall @t28 (=> @t87 (forall @t1332 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t1331) @t249)) (or @t1368 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1019 @t249)))))))) % 14.71/15.03 (assume @p720 (forall @t996 (=> @t1098 @t1369))) % 14.71/15.03 (assume @p721 (forall @t1336 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1097 @t986)) @t1369))) % 14.71/15.03 (assume @p722 (forall @t1193 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1197 @t1370)))) % 14.71/15.03 (assume @p723 (forall @t1193 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1197 @t1362)))) % 14.71/15.03 (assume @p724 (forall @t1189 (= @t1065 (exists @t1374 (= @t770 @t1373))))) % 14.71/15.03 (assume @p725 (forall @t1358 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t1357) @t1356)) @t1065))) % 14.71/15.03 (assume @p726 (forall @t1353 (=> @t1203 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1201 @t1354))))) % 14.71/15.03 (assume @p727 (forall @t1353 (=> @t1203 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1201 @t1352))))) % 14.71/15.03 (assume @p728 (forall @t1204 (=> @t1203 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1375 @t1351))))) % 14.71/15.03 (assume @p729 (forall @t1350 (=> @t1203 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1324 @t1343)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1375 @t1347)))))) % 14.71/15.03 (assume @p730 (forall @t1379 (=> @t1378 @t1376))) % 14.71/15.03 (assume @p731 (forall @t1379 (=> @t1378 @t1200))) % 14.71/15.03 (assume @p732 (forall @t1379 (=> @t1378 (not (=> @t1200 (not @t1376)))))) % 14.71/15.03 (assume @p733 (forall @t1148 (= @t1381 @t1380))) % 14.71/15.03 (assume @p734 (forall @t1148 (= @t1382 @t1380))) % 14.71/15.03 (assume @p735 (forall @t1148 (= @t1382 @t1381))) % 14.71/15.03 (assume @p736 (forall @t1148 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1328 @t1143) @t1081) (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1383)))) % 14.71/15.03 (assume @p737 (forall (@list @t1063 @t820 @t770) (= (= @t1384 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1329 @t770) @t820)) @t1187))) % 14.71/15.03 (assume @p738 (forall @t1358 (= (= @t1357 @t1356) @t1187))) % 14.71/15.03 (assume @p739 (forall @t1386 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1329 @t1370) @t778) (tptp.hAPP tptp.nat tptp.nat @t1344 @t1385)))) % 14.71/15.03 (assume @p740 (forall @t1388 (= (tptp.hAPP tptp.nat tptp.nat @t1387 @t1334) (tptp.hAPP tptp.nat tptp.nat @t1333 (tptp.hAPP tptp.nat tptp.nat @t1387 @t986))))) % 14.71/15.03 (assume @p741 (forall @t1148 (= @t1370 @t1362))) % 14.71/15.03 (assume @p742 (forall @t825 (= (tptp.hAPP @t61 tptp.nat @t146 @t1033) (tptp.hAPP tptp.nat tptp.nat @t1389 @t771)))) % 14.71/15.03 (assume @p743 (forall @t1189 (= @t1186 (exists @t1374 (= @t770 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1373)))))) % 14.71/15.03 (assume @p744 (forall @t1390 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1134 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t1344 @t774)))))) % 14.71/15.03 (assume @p745 (forall @t1390 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1134 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t1337 @t1142)))))) % 14.71/15.03 (assume @p746 (forall @t591 (= (tptp.hAPP @t61 tptp.nat @t146 @t570) @t1392))) % 14.71/15.03 (assume @p747 (forall @t1394 (= (tptp.hAPP @t61 @t61 @t1027 @t779) (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t124 (tptp.hAPP tptp.nat tptp.nat @t1393 @t778)) @t369)))) % 14.71/15.03 (assume @p748 (forall (@list @t13 @t771 @t1142 @t369) (= (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t124 @t1362) @t369) (tptp.hAPP @t61 @t61 @t780 (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t124 @t1142) @t369))))) % 14.71/15.03 (assume @p749 (forall @t1365 (= (tptp.hAPP @t61 @t61 @t1026 @t1364) (tptp.hAPP @t61 @t61 @t1363 (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t1362) @t368))))) % 14.71/15.03 (assume @p750 (forall @t591 (= (tptp.hAPP @t61 tptp.nat @t146 @t437) @t1392))) % 14.71/15.03 (assume @p751 (forall (@list @t13 @t368 @t435 @t771) (= (tptp.hAPP tptp.nat @t13 @t1395 (tptp.hAPP tptp.nat tptp.nat @t1391 @t771)) (tptp.hAPP tptp.nat @t13 @t1322 @t771)))) % 14.71/15.03 (assume @p752 (forall (@list @t13 @t774 @t1202 @t368) (= (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t1338) @t368) (tptp.hAPP @t61 @t61 @t1138 (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t1202) @t816))))) % 14.71/15.03 (assume @p753 (forall (@list @t13 @t771 @t774 @t368) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t1396) @t720)) (= (tptp.hAPP tptp.nat @t13 (tptp.hAPP @t61 @t119 @t118 @t818) @t774) (tptp.hAPP tptp.nat @t13 @t1282 @t1396))))) % 14.71/15.03 (assume @p754 (forall (@list @t1063 @t820 @t380) (=> (forall (@list @t1248 @t1235) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 @t1248) @t1235)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 (tptp.hAPP tptp.nat tptp.nat @t380 @t1248)) (tptp.hAPP tptp.nat tptp.nat @t380 @t1235))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1329 (tptp.hAPP tptp.nat tptp.nat @t380 @t1063)) @t820)) (tptp.hAPP tptp.nat tptp.nat @t380 @t1384)))))) % 14.71/15.03 (assume @p755 (forall @t1148 (=> @t1147 (exists @t1374 (= @t771 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t1344 @t1371))))))) % 14.71/15.03 (assume @p756 (forall @t28 (=> @t1406 (forall @t1405 (=> @t1113 (=> @t1404 @t1403)))))) % 14.71/15.03 (assume @p757 (forall @t28 (=> @t52 (forall @t1409 (=> (= (tptp.hAPP @t13 @t13 @t1398 @t306) @t1408) @t1001))))) % 14.71/15.03 (assume @p758 (forall @t28 (=> (tptp.cancel146912293up_add @t13) @t1412))) % 14.71/15.03 (assume @p759 (forall @t28 (=> @t52 @t1412))) % 14.71/15.03 (assume @p760 (forall @t28 (=> @t52 (forall (@list @t265 @t261 @t471) (= (= @t1418 @t1416) @t1414))))) % 14.71/15.03 (assume @p761 (forall @t28 (=> @t52 (forall (@list @t261 @t265 @t471) (= (= (tptp.hAPP @t13 @t13 @t1419 @t265) @t1420) @t1414))))) % 14.71/15.03 (assume @p762 (forall @t28 (=> @t51 @t1424))) % 14.71/15.03 (assume @p763 (forall @t28 (=> @t1427 (forall @t1426 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t1420) @t1425)) @t1281))))) % 14.71/15.03 (assume @p764 (forall @t28 (=> @t1427 (forall @t1429 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t1416) @t1428)) @t1281))))) % 14.71/15.03 (assume @p765 (forall @t28 (=> @t1432 (forall @t1008 (=> @t1007 @t1431))))) % 14.71/15.03 (assume @p766 (forall @t28 (=> @t1432 (forall @t1008 (=> @t1007 @t1434))))) % 14.71/15.03 (assume @p767 (forall @t28 (=> @t1432 (forall @t1405 (=> @t1007 (=> @t1404 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1430 @t1399)))))))) % 14.71/15.03 (assume @p768 (forall @t28 (=> @t1427 (forall @t1435 (=> @t1431 @t1007))))) % 14.71/15.03 (assume @p769 (forall @t28 (=> @t1427 (forall @t1008 (=> @t1434 @t1007))))) % 14.71/15.03 (assume @p770 (forall @t28 (=> @t1427 (forall @t1426 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t1420) @t1425)) @t1279))))) % 14.71/15.03 (assume @p771 (forall @t28 (=> @t1427 (forall @t1429 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t1416) @t1428)) @t1279))))) % 14.71/15.03 (assume @p772 (forall @t28 (=> @t1406 (forall @t1008 (=> @t1113 @t1436))))) % 14.71/15.03 (assume @p773 (forall @t28 (=> @t1406 (forall @t1008 (=> @t1113 @t1437))))) % 14.71/15.03 (assume @p774 (forall @t28 (=> @t1406 (forall @t1405 (=> @t1113 @t1438))))) % 14.71/15.03 (assume @p775 (forall @t28 (=> @t1427 (forall @t1435 (=> @t1436 @t1113))))) % 14.71/15.03 (assume @p776 (forall @t28 (=> @t1427 (forall @t1008 (=> @t1437 @t1113))))) % 14.71/15.03 (assume @p777 (forall @t28 (=> @t1427 (forall @t1388 (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t48 @t1441) @t986) (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t154 (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t48 @t369) @t986)) (tptp.hAPP @t13 @t13 @t1439 @t986))))))) % 14.71/15.03 (assume @p778 (forall @t28 (=> @t1406 (forall @t1405 (=> @t1007 @t1438))))) % 14.71/15.03 (assume @p779 (forall @t28 (=> @t150 (forall @t1445 (=> @t1444 (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t154 @t1442) @t369) @t1443)))))) % 14.71/15.03 (assume @p780 (forall @t28 (=> @t990 (forall @t1445 (=> @t1444 (= (tptp.hAPP @t13 @t13 @t1440 @t1442) @t1443)))))) % 14.71/15.03 (assume @p781 (forall @t28 (=> @t150 (= @t154 (tptp.hAPP @t56 @t44 @t149 @t950))))) % 14.71/15.03 (assume @p782 (forall (@list @t13 @t361 @t820 @t380 @t499) (=> (forall @t229 (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 (tptp.hAPP @t13 @t510 @t509 (tptp.hAPP tptp.nat @t13 @t380 @t1226)) (tptp.hAPP tptp.nat @t13 @t380 @t220))) @t799))) (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 (tptp.hAPP @t13 @t510 @t509 (tptp.hAPP tptp.nat @t13 @t380 @t1446)) (tptp.hAPP tptp.nat @t13 @t380 @t361))) @t799))))) % 14.71/15.03 (assume @p783 (forall @t28 (=> @t87 (forall @t1450 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1115 @t369)) @t1449))))) % 14.71/15.03 (assume @p784 (forall @t28 (=> @t87 (forall @t1451 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1112 @t369)) @t1449))))) % 14.71/15.03 (assume @p785 (forall @t28 (=> @t87 (forall @t1388 (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t154 @t1441) @t986) @t1454))))) % 14.71/15.03 (assume @p786 (forall @t28 (=> @t87 (forall @t1411 (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t154 @t1448) @t997) @t1456))))) % 14.71/15.03 (assume @p787 (forall @t28 (=> @t87 (forall @t1388 (= @t1454 (tptp.hAPP @t13 @t13 @t1452 (tptp.hAPP @t13 @t13 @t1440 @t986))))))) % 14.71/15.03 (assume @p788 (forall @t28 (=> @t87 (forall @t1409 (= (tptp.hAPP @t13 @t13 @t1455 (tptp.hAPP @t13 @t13 @t1447 @t997)) @t1456))))) % 14.71/15.03 (assume @p789 (forall @t28 (=> @t87 (forall @t983 (= (tptp.hAPP @t13 @t13 @t1440 @t1441) @t1441))))) % 14.71/15.03 (assume @p790 (forall @t28 (=> @t87 (forall @t334 (= (tptp.hAPP @t13 @t13 @t1447 @t1448) @t1448))))) % 14.71/15.03 (assume @p791 (forall @t28 (=> @t87 (forall @t983 (= @t1441 (tptp.hAPP @t13 @t13 @t1452 @t369)))))) % 14.71/15.03 (assume @p792 (forall @t28 (=> @t87 (forall @t334 (= @t1448 (tptp.hAPP @t13 @t13 @t1455 @t306)))))) % 14.71/15.03 (assume @p793 (forall @t28 (=> @t87 (forall @t1029 (= (tptp.hAPP @t13 @t13 @t1447 @t306) @t307))))) % 14.71/15.03 (assume @p794 (forall @t28 (=> @t87 (forall @t983 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1457 @t369)))))) % 14.71/15.03 (assume @p795 (forall @t28 (=> @t87 (forall @t983 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1457 @t396)))))) % 14.71/15.03 (assume @p796 (forall @t28 (=> @t87 (forall @t737 (= @t1017 (= @t1331 @t601)))))) % 14.71/15.03 (assume @p797 (forall @t28 (=> @t87 (forall @t1332 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1016 (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t154 @t244) @t249))) (and @t1017 @t1368)))))) % 14.71/15.03 (assume @p798 (forall @t28 (=> @t87 (forall @t1451 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1005 @t369)) @t1459))))) % 14.71/15.03 (assume @p799 (forall @t28 (=> @t87 (forall @t1450 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1002 @t369)) @t1459))))) % 14.71/15.03 (assume @p800 (forall @t28 (=> @t87 (forall @t983 (=> @t982 (= @t1441 @t526)))))) % 14.71/15.03 (assume @p801 (forall @t28 (=> @t87 (forall @t993 (=> @t981 (= @t1441 @t991)))))) % 14.71/15.03 (assume @p802 (forall @t28 (=> @t87 (forall (@list @t304 @t369 @t306) (=> @t1462 (=> @t1461 @t1460)))))) % 14.71/15.03 (assume @p803 (forall @t28 (=> @t87 (forall @t996 (=> @t982 (=> @t994 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t951 @t1453)))))))) % 14.71/15.03 (assume @p804 (forall @t28 (=> @t87 (forall (@list @t304 @t1397 @t306 @t997) (=> @t1006 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1002 @t1397)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1458 (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t154 @t997) @t1397))))))))) % 14.71/15.03 (assume @p805 (forall @t28 (=> @t87 (forall (@list @t369 @t306 @t304) (=> @t1460 (not (=> @t1462 (not @t1461)))))))) % 14.71/15.03 (assume @p806 (forall (@list @t13 @t15 @t261 @t265 @t298 @t297 @t499 @t968) (= (tptp.hBOOL (tptp.hAPP @t185 tptp.bool (tptp.hAPP @t184 @t923 @t922 (tptp.hAPP @t36 @t184 (tptp.hAPP @t36 @t920 @t919 @t302) @t301)) (tptp.hAPP @t187 @t185 (tptp.hAPP @t80 @t188 @t183 @t499) @t968))) (or (tptp.hBOOL (tptp.hAPP @t80 tptp.bool (tptp.hAPP @t79 @t178 @t512 (tptp.hAPP @t13 @t79 @t511 @t298)) @t499)) (and @t300 (tptp.hBOOL (tptp.hAPP @t187 tptp.bool (tptp.hAPP @t186 (tptp.fun @t187 tptp.bool) (tptp.member @t186) (tptp.hAPP @t15 @t186 (tptp.hAPP @t15 (tptp.fun @t15 @t186) (tptp.product_Pair @t15 @t15) @t265) @t297)) @t968))))))) % 14.71/15.03 (assume @p807 (forall (@list @t13 @t245 @t244 @t380) (= (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t632 (tptp.hAPP @t101 @t80 @t189 @t380))) @t1465))) % 14.71/15.03 (assume @p808 (forall (@list @t380) (=> (forall @t229 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 (tptp.hAPP tptp.nat tptp.nat @t380 @t1226)) @t1246))) (exists @t229 (forall @t1374 (= (tptp.hAPP tptp.nat tptp.nat @t380 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1329 @t220) @t1371)) @t1246)))))) % 14.71/15.03 (assume @p809 (forall @t1467 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t1464) @t1463)) (=> (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t632 @t308)) @t1466)))) % 14.71/15.03 (assume @p810 (forall @t1467 (=> @t1465 @t1466))) % 14.71/15.03 (assume @p811 (forall (@list @t13 @t560 @t1476 @t374) (= (tptp.hAPP @t133 @t61 (tptp.hAPP @t61 @t134 @t132 (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t560) @t1476)) @t374) (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 (tptp.hAPP @t133 @t61 @t1477 @t374)) (tptp.hAPP @t133 @t61 (tptp.hAPP @t61 @t134 @t132 @t1476) (tptp.hAPP @t133 @t133 @t1475 (tptp.hAPP @t133 @t133 (tptp.hAPP @t1472 @t1243 @t1474 (tptp.hAPP @t142 @t1472 @t1473 (tptp.hAPP tptp.nat @t142 (tptp.hAPP @t1469 @t1469 @t1468 @t1329) (tptp.hAPP @t61 tptp.nat @t146 @t560)))) @t374))))))) % 14.71/15.03 (assume @p812 (forall (@list @t13 @t245 @t401 @t1478) (=> @t1481 @t847))) % 14.71/15.03 (assume @p813 (forall (@list @t13 @t1478 @t245 @t401) (=> @t861 (not @t1481)))) % 14.71/15.03 (assume @p814 (forall @t408 (= (tptp.hAPP @t133 @t61 (tptp.hAPP @t61 @t134 @t132 @t89) @t374) @t89))) % 14.71/15.03 (assume @p815 (forall (@list @t13 @t1478 @t401) (=> @t554 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t65 @t1479))))) % 14.71/15.03 (assume @p816 (forall @t1482 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t42 @t192 @t954 @t1480) @t846)))) % 14.71/15.03 (assume @p817 (forall (@list @t13 @t245 @t560 @t374) (= (tptp.hAPP @t133 @t61 (tptp.hAPP @t61 @t134 @t132 @t562) @t374) (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 (tptp.hAPP tptp.bool @t63 (tptp.if @t61) @t1484) @t607) @t89)) (tptp.hAPP @t133 @t61 @t1477 (tptp.hAPP @t133 @t133 @t1475 (tptp.hAPP @t133 @t133 (tptp.hAPP @t1472 @t1243 @t1474 (tptp.hAPP @t142 @t1472 @t1473 tptp.suc)) @t374))))))) % 14.71/15.03 (assume @p818 (forall @t1482 (= @t1480 (tptp.hAPP @t42 @t42 @t179 (tptp.hAPP @t1493 @t42 @t1499 (tptp.hAPP @t133 @t1493 @t1497 (tptp.hAPP @t133 @t133 (tptp.hAPP @t1487 @t1243 @t1490 (tptp.hAPP @t133 @t1487 @t1489 @t1486)) (tptp.hAPP @t133 @t133 (tptp.hAPP @t1472 @t1243 @t1474 @t1470) @t1478)))))))) % 14.71/15.03 (assume @p819 (forall @t825 (=> @t1096 (= (tptp.hAPP tptp.nat @t13 (tptp.hAPP @t61 @t119 @t118 @t788) @t771) (tptp.hAPP tptp.nat @t13 @t1282 (tptp.hAPP tptp.nat tptp.nat @t1501 @t1081)))))) % 14.71/15.03 (assume @p820 (forall @t1141 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1095 @t1483))))) % 14.71/15.03 (assume @p821 (forall @t1141 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t1483) @t771)))) % 14.71/15.03 (assume @p822 (forall @t1141 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1502 @t1081)))) % 14.71/15.03 (assume @p823 (forall @t117 (=> @t45 (forall (@list @t374 @t379 @t245) (= (tptp.hAPP @t15 @t13 (tptp.hAPP @t30 @t30 (tptp.hAPP @t30 (tptp.fun @t30 @t30) (tptp.minus_minus @t30) @t374) @t379) @t245) (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t43 (tptp.hAPP @t15 @t13 @t374 @t245)) (tptp.hAPP @t15 @t13 @t379 @t245))))))) % 14.71/15.03 (assume @p824 (forall @t31 (=> (tptp.minus @t15) (forall (@list @t374 @t379 @t338) (= (tptp.hAPP @t13 @t15 (tptp.hAPP @t18 @t18 (tptp.hAPP @t18 (tptp.fun @t18 @t18) (tptp.minus_minus @t18) @t374) @t379) @t338) (tptp.hAPP @t15 @t15 (tptp.hAPP @t15 @t802 (tptp.minus_minus @t15) (tptp.hAPP @t13 @t15 @t374 @t338)) (tptp.hAPP @t13 @t15 @t379 @t338))))))) % 14.71/15.03 (assume @p825 (forall @t1509 (= @t1508 (and (=> @t1507 @t1506) (forall @t1505 (=> @t1504 @t1503)))))) % 14.71/15.03 (assume @p826 (forall @t1509 (= @t1508 (not (or (and @t1507 @t1510) (exists @t1505 (and @t1504 (not @t1503)))))))) % 14.71/15.03 (assume @p827 (forall @t28 (=> @t50 @t1511))) % 14.71/15.03 (assume @p828 (forall @t28 (=> @t1512 @t1511))) % 14.71/15.03 (assume @p829 (forall @t28 (=> @t1515 (forall @t1032 (= (= @t53 @t1514) @t1513))))) % 14.71/15.03 (assume @p830 (forall @t28 (=> @t50 @t1516))) % 14.71/15.03 (assume @p831 (forall @t28 (=> @t1512 @t1516))) % 14.71/15.03 (assume @p832 (forall @t28 (=> @t1518 (forall @t334 (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t48 (tptp.hAPP @t13 @t13 @t1517 @t304)) @t304) @t307))))) % 14.71/15.04 (assume @p833 (forall @t28 (=> @t1518 (forall @t334 (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t43 @t1410) @t304) @t307))))) % 14.71/15.04 (assume @p834 (forall @t28 (=> @t1519 (forall @t1388 (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t43 @t1441) @t986) (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t154 (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t43 @t369) @t986)) (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t43 @t396) @t986))))))) % 14.71/15.04 (assume @p835 (forall @t1148 (=> (= @t1370 @t1142) @t1520))) % 14.71/15.04 (assume @p836 (forall (@list @t1142 @t774 @t771) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1328 (tptp.hAPP tptp.nat tptp.nat @t1523 @t774)) @t1522) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t1383) @t774)))) % 14.71/15.04 (assume @p837 (forall @t1379 (= (tptp.hAPP tptp.nat tptp.nat @t1525 @t1385) @t1524))) % 14.71/15.04 (assume @p838 (forall (@list @t778 @t1142 @t771) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t1526) @t1342) @t1524))) % 14.71/15.04 (assume @p839 (forall @t1340 (= @t1528 (tptp.hAPP tptp.nat tptp.nat @t1527 @t1351)))) % 14.71/15.04 (assume @p840 (forall @t1193 (= (tptp.hAPP tptp.nat tptp.nat @t1529 @t771) @t1142))) % 14.71/15.04 (assume @p841 (forall @t1148 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t1370) @t771) @t1142))) % 14.71/15.04 (assume @p842 (forall @t1189 (= (= @t1532 @t1483) (and @t1531 @t1530)))) % 14.71/15.04 (assume @p843 (forall @t1193 (= (tptp.hAPP tptp.nat tptp.nat @t1521 @t1362) @t1483))) % 14.71/15.04 (assume @p844 (forall @t1533 (= (tptp.hAPP tptp.nat tptp.nat @t1344 @t1483) @t1142))) % 14.71/15.04 (assume @p845 (forall @t1141 (= (tptp.hAPP tptp.nat tptp.nat @t1366 @t1483) @t1483))) % 14.71/15.04 (assume @p846 (forall @t1141 (= (tptp.hAPP tptp.nat tptp.nat @t1534 @t771) @t771))) % 14.71/15.04 (assume @p847 (forall @t1141 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1328 @t1483) @t771) @t1483))) % 14.71/15.04 (assume @p848 (forall @t28 (=> @t1519 (forall @t346 (= @t1281 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t1535) @t53))))))) % 14.71/15.04 (assume @p849 (forall @t28 (=> @t1519 (forall @t1538 (=> @t1537 (= @t1281 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t471) @t1536)))))))) % 14.71/15.04 (assume @p850 (forall @t28 (=> @t1539 (forall @t1538 (=> @t1537 (= @t508 (= @t1413 (tptp.ti @t13 @t1536)))))))) % 14.71/15.04 (assume @p851 (forall @t28 (=> @t1518 (forall @t346 (= @t1540 @t508))))) % 14.71/15.04 (assume @p852 (forall @t28 (=> @t1539 (forall @t346 (= @t508 @t1540))))) % 14.71/15.04 (assume @p853 (forall @t28 (=> @t1518 (forall @t1029 (= (tptp.hAPP @t13 @t13 @t1517 @t306) @t53))))) % 14.71/15.04 (assume @p854 (forall @t28 (=> @t1518 (forall @t1029 (= (tptp.hAPP @t13 @t13 @t1517 @t53) @t307))))) % 14.71/15.04 (assume @p855 (forall @t28 (=> @t54 (forall @t549 (= (= @t53 @t601) @t1541))))) % 14.71/15.04 (assume @p856 (forall @t28 (=> @t1519 (forall @t346 (= @t1279 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t1535) @t53))))))) % 14.71/15.04 (assume @p857 (forall @t28 (=> @t1519 (forall @t1538 (=> @t1537 (= @t1279 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t471) @t1536)))))))) % 14.71/15.04 (assume @p858 (forall @t1141 (=> @t1543 (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t1521 @t1542)) @t771)))) % 14.71/15.04 (assume @p859 (forall @t1544 (=> @t1543 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 (tptp.hAPP tptp.nat tptp.nat @t1521 @t1089)) @t771))))) % 14.71/15.04 (assume @p860 (forall @t1141 (=> @t1545 @t1543))) % 14.71/15.04 (assume @p861 (forall @t1549 (=> @t1147 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1146 @t1343)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 @t1548) @t1547)))))) % 14.71/15.04 (assume @p862 (forall (@list @t771 @t1202 @t778) (=> @t1210 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 (tptp.hAPP tptp.nat tptp.nat @t1550 @t771)) @t778))))) % 14.71/15.04 (assume @p863 (forall @t1148 (=> @t1147 @t1545))) % 14.71/15.04 (assume @p864 (forall @t1148 (=> @t1543 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1502 @t1142)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1551 @t1142)))))) % 14.71/15.04 (assume @p865 (forall @t1215 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1502 (tptp.hAPP tptp.nat tptp.nat @t1552 @t1063))) @t1186))) % 14.71/15.04 (assume @p866 (forall @t1555 (= @t1554 @t1553))) % 14.71/15.04 (assume @p867 (forall (@list @t13 @t1063 @t245 @t770 @t244) (= (= (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t124 @t1063) @t245) @t1557) (and @t1187 (=> (not @t1531) @t602))))) % 14.71/15.04 (assume @p868 (forall @t441 (= (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t67 @t1483) @t368) @t368))) % 14.71/15.04 (assume @p869 (forall @t1555 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1066 @t1483)) @t1530))) % 14.71/15.04 (assume @p870 (forall @t1148 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t1524) @t1142)))) % 14.71/15.04 (assume @p871 (forall @t1189 (= (= @t1559 @t1483) @t1065))) % 14.71/15.04 (assume @p872 (forall @t1148 (=> @t1200 @t1560))) % 14.71/15.04 (assume @p873 (forall @t1549 (=> @t1200 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t1548) @t1547))))) % 14.71/15.04 (assume @p874 (forall @t1549 (=> @t1200 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 (tptp.hAPP tptp.nat tptp.nat @t1523 @t1343)) (tptp.hAPP tptp.nat tptp.nat @t1521 @t1343)))))) % 14.71/15.04 (assume @p875 (forall @t1544 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1201 @t771)) (= (tptp.hAPP tptp.nat tptp.nat @t1521 @t1522) @t774)))) % 14.71/15.04 (assume @p876 (forall @t1566 (=> @t1565 (=> @t1564 (= (= @t1562 @t1561) @t1187))))) % 14.71/15.04 (assume @p877 (forall (@list @t771 @t778 @t1142) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1324 @t1142)) (=> @t1376 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 (tptp.hAPP tptp.nat tptp.nat @t1523 @t778)) (tptp.hAPP tptp.nat tptp.nat @t1521 @t778)) @t1524))))) % 14.71/15.04 (assume @p878 (forall @t1566 (=> @t1565 (=> @t1564 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t1562) @t1561)) @t1065))))) % 14.71/15.04 (assume @p879 (forall @t1533 (not (= @t1483 @t1143)))) % 14.71/15.04 (assume @p880 (forall (@list @t1567) (not (= @t1483 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1567))))) % 14.71/15.04 (assume @p881 (forall @t1533 (not (= @t1143 @t1483)))) % 14.71/15.04 (assume @p882 (forall (@list @t1568) (not (= (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1568) @t1483)))) % 14.71/15.04 (assume @p883 (forall @t1148 (= (tptp.hAPP tptp.nat tptp.nat @t1569 @t1081) @t1524))) % 14.71/15.04 (assume @p884 (forall @t1386 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t1570) (tptp.hAPP tptp.nat tptp.nat tptp.suc @t778)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t1524) @t778)))) % 14.71/15.04 (assume @p885 (forall @t1148 (=> @t1560 (=> (= (tptp.hAPP tptp.nat tptp.nat @t1521 @t1142) @t1483) @t1190)))) % 14.71/15.04 (assume @p886 (forall @t1340 (= @t1528 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 (tptp.hAPP tptp.nat tptp.nat @t1527 @t778)) @t1202)))) % 14.71/15.04 (assume @p887 (forall @t1533 (= (tptp.hAPP tptp.nat tptp.nat @t1523 @t1142) @t1483))) % 14.71/15.04 (assume @p888 (forall @t1533 (= (tptp.hAPP tptp.nat tptp.nat @t1523 @t1483) @t1142))) % 14.71/15.04 (assume @p889 (forall @t1141 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t1483) @t771) @t1483))) % 14.71/15.04 (assume @p890 (forall (@list @t13 @t349 @t416) (= (tptp.hAPP tptp.nat @t13 @t1223 @t1483) @t414))) % 14.71/15.04 (assume @p891 (forall @t1189 (= (tptp.hAPP tptp.nat tptp.nat @t1558 @t1092) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP @t142 @t142 @t1572 (tptp.combi tptp.nat)) @t1559)))) % 14.71/15.04 (assume @p892 (forall @t1577 (=> @t1576 (= @t1575 @t1574)))) % 14.71/15.04 (assume @p893 (forall @t1577 (=> @t1576 (= @t1574 @t1575)))) % 14.71/15.04 (assume @p894 (forall @t1577 (=> @t1576 (= @t1579 @t1578)))) % 14.71/15.04 (assume @p895 (forall (@list @t820 @t361 @t1227) (=> @t1231 (= (= (tptp.hAPP tptp.nat tptp.nat @t1580 @t361) @t820) (= @t1227 (tptp.hAPP tptp.nat tptp.nat @t1355 @t361)))))) % 14.71/15.04 (assume @p896 (forall @t1193 (=> @t1198 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1329 @t1524) @t771) @t1142)))) % 14.71/15.04 (assume @p897 (forall (@list @t361 @t820 @t1227) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1563 @t1227)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1230 @t1581)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t1446) @t1227)))))) % 14.71/15.04 (assume @p898 (forall @t1577 (=> @t1576 (= @t1578 @t1579)))) % 14.71/15.04 (assume @p899 (forall @t1193 (=> @t1198 @t1582))) % 14.71/15.04 (assume @p900 (forall @t1379 (=> @t1376 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1199 (tptp.hAPP tptp.nat tptp.nat @t1529 @t778)))))) % 14.71/15.04 (assume @p901 (forall (@list @t1227 @t820 @t361) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t1581) @t361)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1320 @t1446))))) % 14.71/15.04 (assume @p902 (forall @t1577 (=> @t1576 (= (tptp.hAPP tptp.nat tptp.nat @t1527 @t1573) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t1348) @t1202))))) % 14.71/15.04 (assume @p903 (forall @t1008 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 @t306) @t304)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t997) @t306)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t306) @t997)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t304) @t997))))))) % 14.71/15.04 (assume @p904 (forall @t1566 (=> @t1565 (=> @t1564 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 @t1562) @t1561)) @t1186))))) % 14.71/15.04 (assume @p905 (forall @t1193 (=> @t1198 (= @t1570 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1524))))) % 14.71/15.04 (assume @p906 (forall (@list @t361 @t1227 @t820) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1306 @t1581)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 @t1446) @t1227))))) % 14.71/15.04 (assume @p907 (forall @t1148 (=> @t1206 @t1582))) % 14.71/15.04 (assume @p908 (forall @t1148 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1551 @t1143)))) % 14.71/15.04 (assume @p909 (forall @t28 (=> @t1586 (forall @t1118 (=> @t1585 @t1584))))) % 14.71/15.04 (assume @p910 (forall @t28 (=> @t1586 (forall @t1118 (=> @t1590 @t1589))))) % 14.71/15.04 (assume @p911 (forall @t28 (=> @t1515 @t1591))) % 14.71/15.04 (assume @p912 (forall @t28 (=> @t1515 (forall @t1032 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1587 @t1514)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1587 @t261))))))) % 14.71/15.04 (assume @p913 (forall @t825 (= (tptp.hAPP @t61 tptp.nat @t146 @t818) (tptp.hAPP tptp.nat tptp.nat @t1501 @t771)))) % 14.71/15.04 (assume @p914 (forall @t28 (=> @t1586 (forall @t1118 (=> @t1593 (=> @t1592 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t1410) @t53)))))))) % 14.71/15.04 (assume @p915 (forall @t28 (=> @t1586 (forall @t1409 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1595 @t997)) (=> @t1003 @t1594)))))) % 14.71/15.04 (assume @p916 (forall @t28 (=> @t1586 (forall @t1597 (=> @t1596 (=> @t1015 @t1594)))))) % 14.71/15.04 (assume @p917 (forall @t28 (=> @t1586 (forall @t1021 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1595 @t245)) (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1595 @t244)) (= (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t48 @t245) @t244) @t53) (and @t1541 (= @t600 @t53))))))))) % 14.71/15.04 (assume @p918 (forall @t28 (=> @t1586 (forall @t1118 (=> @t1596 (=> @t1598 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1595 @t1410)))))))) % 14.71/15.04 (assume @p919 (forall @t28 (=> @t1515 (forall @t1032 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t1514) @t53)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1271 @t53))))))) % 14.71/15.04 (assume @p920 (forall @t28 (=> @t1515 (forall @t1032 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1595 @t1514)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1595 @t261))))))) % 14.71/15.04 (assume @p921 (forall @t1365 (= (tptp.hAPP @t61 @t61 @t812 @t1367) (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t1524) @t818)))) % 14.71/15.04 (assume @p922 (forall @t1394 (= (tptp.hAPP @t61 @t61 @t815 @t779) (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t124 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t778) @t774)) @t369)))) % 14.71/15.04 (assume @p923 (forall @t1189 (= @t1217 (or @t1531 (exists @t1253 (and (= @t1063 @t1252) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1309 @t770)))))))) % 14.71/15.04 (assume @p924 (forall @t1555 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1131 @t1542)) @t1530))) % 14.71/15.04 (assume @p925 (forall @t1555 (= @t1553 (exists @t1251 (= @t770 @t1249))))) % 14.71/15.04 (assume @p926 (forall @t1189 (= (= @t1542 @t1532) @t1599))) % 14.71/15.04 (assume @p927 (forall @t1189 (= (= @t1532 @t1542) @t1599))) % 14.71/15.04 (assume @p928 (forall @t1189 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1502 @t1532)) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1502 @t1063)) @t1553)))) % 14.71/15.04 (assume @p929 @t1601) % 14.71/15.04 (assume @p930 (forall @t406 (= (= @t706 @t1483) @t404))) % 14.71/15.04 (assume @p931 @t1603) % 14.71/15.04 (assume @p932 (forall @t441 (= (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t1483) @t368) @t89))) % 14.71/15.04 (assume @p933 (forall @t967 (= (= @t965 @t89) (or @t1530 @t404)))) % 14.71/15.04 (assume @p934 (forall (@list @t13 @t369 @t368 @t396) (= (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t1090 @t1483) @t396) (tptp.hAPP @t61 @t61 @t438 @t368)))) % 14.71/15.04 (assume @p935 (forall @t474 (= (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t124 @t1483) @t369) @t89))) % 14.71/15.04 (assume @p936 (forall @t1605 (= (= @t89 @t1604) @t1530))) % 14.71/15.04 (assume @p937 (forall @t1605 (= (= @t1604 @t89) @t1530))) % 14.71/15.04 (assume @p938 (forall (@list @t13 @t245 @t770 @t244) (= (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t376 (tptp.hAPP @t61 @t42 @t127 @t1557))) (and @t602 @t1554)))) % 14.71/15.04 (assume @p939 (forall @t1607 (= (exists @t344 (and @t1606 @t854)) (and @t899 @t1554)))) % 14.71/15.04 (assume @p940 (forall @t1607 (= (forall @t344 (=> @t1606 @t854)) (or @t899 @t1530)))) % 14.71/15.04 (assume @p941 (forall @t1608 (=> @t1545 (= (tptp.hAPP @t61 @t13 @t75 @t776) @t526)))) % 14.71/15.04 (assume @p942 (forall @t1608 (=> @t1545 (= (tptp.hAPP @t61 @t13 @t71 @t776) @t526)))) % 14.71/15.04 (assume @p943 (forall @t1215 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1328 @t1092) @t1063) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP @t142 @t142 @t1572 (tptp.hAPP @t142 @t142 @t1609 (tptp.hAPP tptp.nat @t142 @t1328 @t770))) @t1063)))) % 14.71/15.04 (assume @p944 (forall @t1189 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1328 @t1063) @t1092) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP @t142 @t142 @t1572 (tptp.hAPP @t142 @t142 @t1609 (tptp.hAPP tptp.nat @t142 (tptp.hAPP @t1469 @t1469 @t1468 @t1328) @t770))) @t1063)))) % 14.71/15.04 (assume @p945 (forall @t1612 (=> @t1576 (= (tptp.hAPP tptp.nat tptp.nat @t1523 @t1611) (tptp.hAPP tptp.nat tptp.nat @t1525 @t1610))))) % 14.71/15.04 (assume @p946 (forall @t1612 (=> @t1576 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t1611) @t1142) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t1610) @t1526))))) % 14.71/15.04 (assume @p947 (forall @t1614 (= (tptp.hAPP @t61 @t61 @t1026 @t570) (tptp.hAPP @t61 @t61 @t1037 (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t1613) @t435))))) % 14.71/15.04 (assume @p948 (forall @t28 (=> @t1586 (forall @t1118 (=> @t1590 (=> @t1598 @t1588)))))) % 14.71/15.04 (assume @p949 (forall @t28 (=> @t1586 (forall @t1118 (=> @t1596 @t1589))))) % 14.71/15.04 (assume @p950 (forall @t28 (=> @t1586 (forall @t1597 (=> @t1590 (=> @t1015 @t1615)))))) % 14.71/15.04 (assume @p951 (forall @t28 (=> @t1586 (forall @t1597 (=> @t1596 @t1616))))) % 14.71/15.04 (assume @p952 (forall @t28 (=> @t1586 (forall @t1118 (=> @t1585 (=> @t1592 @t1583)))))) % 14.71/15.04 (assume @p953 (forall @t28 (=> @t1586 (forall @t1118 (=> @t1593 @t1584))))) % 14.71/15.04 (assume @p954 (forall @t1614 (= (tptp.hAPP @t61 @t61 @t812 @t570) (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t818) (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t67 @t1613) @t435))))) % 14.71/15.04 (assume @p955 (forall @t406 (= @t1617 @t405))) % 14.71/15.04 (assume @p956 (forall @t832 (=> @t847 @t1617))) % 14.71/15.04 (assume @p957 (forall @t484 (and (=> @t1619 (= @t1618 @t607)) (=> (not @t1619) (= @t1618 @t89))))) % 14.71/15.04 (assume @p958 (forall @t441 (=> @t521 (= @t761 (tptp.hAPP tptp.nat @t13 @t1282 @t1483))))) % 14.71/15.04 (assume @p959 (forall (@list @t13 @t435 @t771 @t368) (and (=> @t1096 (= @t1620 @t1291)) (=> @t1621 (= @t1620 (tptp.hAPP tptp.nat @t13 @t1322 @t1613)))))) % 14.71/15.04 (assume @p960 (forall (@list @t13 @t435 @t369 @t771 @t368) (and (=> @t1096 (= @t1622 (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t805 @t771) @t369)) @t435))) (=> @t1621 (= @t1622 (tptp.hAPP @t61 @t61 @t569 (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 (tptp.hAPP @t61 @t107 @t105 @t435) @t1613) @t369))))))) % 14.71/15.04 (assume @p961 (forall @t817 (= (tptp.hAPP @t61 @t61 @t125 @t816) (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t1623) @t788)))) % 14.71/15.04 (assume @p962 (forall @t817 (= (tptp.hAPP @t61 @t61 @t125 @t1028) (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t67 @t1623) @t788)))) % 14.71/15.04 (assume @p963 (forall (@list @t13 @t306 @t1624) (= (tptp.hAPP @t61 tptp.nat @t146 (tptp.hAPP @t61 @t61 @t1137 @t1624)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1329 (tptp.hAPP @t61 tptp.nat @t146 @t1624)) @t1542)))) % 14.71/15.04 (assume @p964 (forall @t406 (= @t846 (tptp.hAPP @t42 @t42 @t179 (tptp.hAPP @t1493 @t42 @t1499 (tptp.hAPP @t133 @t1493 @t1497 @t1486)))))) % 14.71/15.04 (assume @p965 (forall @t1626 (=> @t1510 (=> @t1625 (exists @t1374 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t1371) @t770)) (forall @t229 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1228 @t1371)) (not @t1225))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t290 @t1371)))))))) % 14.71/15.04 (assume @p966 (forall @t1360 (=> @t1211 (exists @t1374 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1502 @t1371)) (= (tptp.hAPP tptp.nat tptp.nat @t1337 @t1371) @t1202)))))) % 14.71/15.04 (assume @p967 (forall @t1012 (=> @t958 (=> @t1011 (= (tptp.hAPP @t42 @t42 @t1629 (tptp.hAPP @t42 @t42 @t1628 @t374)) @t643))))) % 14.71/15.04 (assume @p968 (forall (@list @t13 @t1630 @t379 @t374 @t1009) (=> @t1010 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t42 @t192 @t954 @t1630) @t379)) (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t1632 (tptp.hAPP @t42 @t42 @t1628 @t1630))))))) % 14.71/15.04 (assume @p969 (forall @t959 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t1632 @t374)))) % 14.71/15.04 (assume @p970 (forall @t1141 (=> @t1543 @t1633))) % 14.71/15.04 (assume @p971 (forall @t28 (=> @t1634 @t1591))) % 14.71/15.04 (assume @p972 (forall @t964 (=> @t1635 (not @t963)))) % 14.71/15.04 (assume @p973 (forall (@list @t13 @t379 @t471 @t374) (=> @t962 (=> @t1636 @t1635)))) % 14.71/15.04 (assume @p974 (forall @t964 (=> @t1635 @t1636))) % 14.71/15.04 (assume @p975 (forall @t964 (=> @t1635 @t962))) % 14.71/15.04 (assume @p976 (forall @t959 (= (tptp.hAPP @t42 @t42 (tptp.hAPP @t42 @t180 @t1627 @t1631) @t379) @t1631))) % 14.71/15.04 (assume @p977 (forall @t964 (= @t1635 (and @t962 @t1636)))) % 14.71/15.04 (assume @p978 (forall @t959 (= @t1631 (tptp.hAPP @t42 @t42 @t179 (tptp.hAPP @t42 @t42 (tptp.hAPP @t1638 @t180 (tptp.combs @t13 tptp.bool tptp.bool) @t1639) (tptp.hAPP @t42 @t42 @t553 (tptp.hAPP @t42 @t42 @t976 @t379))))))) % 14.71/15.04 (assume @p979 (forall @t28 (=> @t1515 (forall @t1032 (= (= @t1514 @t53) @t1513))))) % 14.71/15.04 (assume @p980 (forall @t28 (=> @t1640 (forall @t1597 (=> @t1590 @t1616))))) % 14.71/15.04 (assume @p981 (forall @t1643 (= (tptp.hAPP tptp.nat tptp.nat tptp.nat_size @t1642) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1329 (tptp.hAPP tptp.nat tptp.nat tptp.nat_size @t1641)) @t1542)))) % 14.71/15.04 (assume @p982 (forall @t28 (=> @t1634 @t1125))) % 14.71/15.04 (assume @p983 (= (tptp.hAPP tptp.nat tptp.nat tptp.nat_size @t1483) @t1483)) % 14.71/15.04 (assume @p984 (forall @t959 (=> @t1178 (exists (@list @t287) (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t13 @t192 @t375 @t287) (tptp.hAPP @t42 @t42 @t1629 @t374))))))) % 14.71/15.04 (assume @p985 (forall (@list @t361 @t290 @t820) (=> @t1647 (=> @t1646 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t290 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t820) @t361))))))) % 14.71/15.04 (assume @p986 (forall @t1141 (=> @t1545 @t1633))) % 14.71/15.04 (assume @p987 (forall @t1626 (=> @t1506 (=> (forall @t1239 (=> @t1644 @t1645)) @t1625)))) % 14.71/15.04 (assume @p988 (forall (@list @t396) (=> (not (= @t396 @t1483)) (not (forall (@list @t1648) (not (= @t396 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1648)))))))) % 14.71/15.04 (assume @p989 (forall (@list @t290 @t820) (=> @t1647 (=> @t1646 @t1506)))) % 14.71/15.04 (assume @p990 (forall @t1643 (= (tptp.hAPP tptp.nat tptp.nat @t145 @t1642) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1329 (tptp.hAPP tptp.nat tptp.nat @t145 @t1641)) @t1542)))) % 14.71/15.04 (assume @p991 (forall (@list @t13 @t1649 @t261 @t365) (= (tptp.hAPP @t61 tptp.nat @t1650 @t367) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1329 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1329 (tptp.hAPP @t13 tptp.nat @t1649 @t261)) (tptp.hAPP @t61 tptp.nat @t1650 @t365))) @t1542)))) % 14.71/15.04 (assume @p992 (= @t1651 @t1483)) % 14.71/15.04 (assume @p993 (forall @t1141 (= (tptp.hAPP tptp.nat tptp.nat @t145 @t771) @t771))) % 14.71/15.04 (assume @p994 (forall (@list @t13 @t1649) (= (tptp.hAPP @t61 tptp.nat @t1650 @t89) @t1483))) % 14.71/15.04 (assume @p995 (forall @t1654 (=> @t847 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1653 @t1464)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1653 @t1652)))))) % 14.71/15.04 (assume @p996 (forall @t1654 (=> @t847 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1655 @t1464)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1655 @t1652)))))) % 14.71/15.04 (assume @p997 (forall (@list @t13 @t380 @t462 @t401) (=> (forall @t344 (=> @t855 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1094 (tptp.hAPP @t13 tptp.nat @t380 @t338)) (tptp.hAPP @t13 tptp.nat @t462 @t338))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t133 @t1049 @t1652) (tptp.hAPP @t61 tptp.nat (tptp.hAPP @t101 @t100 @t99 @t462) @t401)))))) % 14.71/15.04 (assume @p998 (forall (@list @t13 @t374 @t1656) (= (tptp.hAPP @t66 @t66 @t1673 @t1656) (tptp.hAPP @t66 @t66 (tptp.collect @t61) (tptp.hAPP @t128 @t66 (tptp.hAPP @t192 (tptp.fun @t128 @t66) (tptp.combb @t42 tptp.bool @t61) @t191) (tptp.hAPP @t1664 @t128 (tptp.hAPP @t1672 (tptp.fun @t1664 @t128) (tptp.combb @t1659 @t42 @t61) (tptp.hAPP @t1657 @t1672 (tptp.combb @t66 tptp.bool @t13) (tptp.fEx @t61))) (tptp.hAPP @t1659 @t1664 (tptp.hAPP @t1671 (tptp.fun @t1659 @t1664) (tptp.combc @t61 @t1659 @t1659) (tptp.hAPP @t1669 @t1671 (tptp.hAPP (tptp.fun @t1658 @t1670) (tptp.fun @t1669 @t1671) (tptp.combb @t1658 @t1670 @t61) (tptp.combs @t13 @t66 @t66)) (tptp.hAPP @t1667 @t1669 (tptp.hAPP @t1668 (tptp.fun @t1667 @t1669) (tptp.combb @t1665 @t1658 @t61) (tptp.hAPP @t1172 @t1668 (tptp.combb @t1164 @t130 @t13) @t1170)) (tptp.hAPP @t1664 @t1667 (tptp.hAPP @t1666 (tptp.fun @t1664 @t1667) (tptp.combb @t1659 @t1665 @t61) (tptp.hAPP @t1165 @t1666 (tptp.combb @t66 @t1164 @t13) @t1166)) (tptp.hAPP @t74 @t1664 (tptp.hAPP @t1663 (tptp.fun @t74 @t1664) (tptp.combc @t61 @t74 @t1659) (tptp.hAPP @t1661 @t1663 (tptp.hAPP (tptp.fun @t1660 @t1662) (tptp.fun @t1661 @t1663) (tptp.combb @t1660 @t1662 @t61) (tptp.combb @t62 @t66 @t13)) (tptp.hAPP @t111 @t1661 (tptp.hAPP (tptp.fun @t66 @t1660) (tptp.fun @t111 @t1661) (tptp.combb @t66 @t1660 @t61) (tptp.combb @t61 tptp.bool @t61)) (tptp.fequal @t61)))) @t88))))) (tptp.hAPP @t66 @t1659 (tptp.hAPP @t1658 (tptp.fun @t66 @t1659) (tptp.combc @t13 @t66 @t66) (tptp.hAPP @t1638 @t1658 (tptp.hAPP (tptp.fun @t193 @t130) (tptp.fun @t1638 @t1658) (tptp.combb @t193 @t130 @t13) (tptp.combb tptp.bool tptp.bool @t61)) @t1639)) (tptp.hAPP @t66 @t66 (tptp.hAPP (tptp.fun @t61 @t1657) @t130 (tptp.combc @t61 @t66 tptp.bool) (tptp.member @t61)) @t1656))))))))) % 14.71/15.04 (assume @p999 (forall @t28 (=> @t1674 @t1511))) % 14.71/15.04 (assume @p1000 (forall @t28 (=> @t1674 @t1516))) % 14.71/15.04 (assume @p1001 (forall @t28 (=> @t1674 (forall (@list @t306 @t304 @t997 @t1397) (= (tptp.hAPP @t13 @t13 @t1422 @t1676) (tptp.hAPP @t13 @t13 @t1675 @t1399)))))) % 14.71/15.04 (assume @p1002 (forall @t28 (=> @t1674 (forall @t1411 (= @t1423 (tptp.hAPP @t13 @t13 @t1675 @t304)))))) % 14.71/15.04 (assume @p1003 (forall @t28 (=> @t1674 @t1424))) % 14.71/15.04 (assume @p1004 (forall @t28 (=> @t1674 (forall @t1678 (= @t1677 (tptp.hAPP @t13 @t13 @t1675 @t1397)))))) % 14.71/15.04 (assume @p1005 (forall @t28 (=> @t1674 (forall @t1678 (= @t1677 (tptp.hAPP @t13 @t13 @t1407 (tptp.hAPP @t13 @t13 @t1400 @t1397))))))) % 14.71/15.04 (assume @p1006 (forall @t28 (=> @t1674 (forall (@list @t306 @t997) (= @t1401 @t1408))))) % 14.71/15.04 (assume @p1007 (forall @t28 (=> (tptp.semiri456707255roduct @t13) (forall (@list @t265 @t261) (= (= @t507 @t1418) @t1513))))) % 14.71/15.04 (assume @p1008 (forall @t28 (=> (tptp.linordered_field @t13) (forall @t983 (=> (forall (@list @t431) (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1587 @t431)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t951 (tptp.hAPP @t13 @t13 @t1439 @t431))))) @t982))))) % 14.71/15.04 (assume @p1009 (forall (@list @t13 @t15 @t401 @t574) (= @t1694 (tptp.hAPP @t37 @t37 (tptp.collect @t36) (tptp.hAPP @t1688 @t37 (tptp.hAPP @t1471 (tptp.fun @t1688 @t37) (tptp.combb @t133 tptp.bool @t36) @t1498) (tptp.hAPP @t133 @t1688 (tptp.hAPP @t1690 (tptp.fun @t133 @t1688) (tptp.combc @t36 @t133 @t133) (tptp.hAPP @t1689 @t1690 (tptp.hAPP @t1496 (tptp.fun @t1689 @t1690) (tptp.combb @t1487 @t1243 @t36) @t1490) (tptp.hAPP @t1688 @t1689 (tptp.hAPP @t1488 (tptp.fun @t1688 @t1689) (tptp.combb @t133 @t1487 @t36) @t1489) (tptp.hAPP @t1684 @t1688 (tptp.hAPP @t1686 (tptp.fun @t1684 @t1688) (tptp.combc @t36 @t1684 @t133) (tptp.hAPP @t1687 @t1686 (tptp.hAPP (tptp.fun @t37 @t1685) (tptp.fun @t1687 @t1686) (tptp.combb @t37 @t1685 @t36) (tptp.combb @t36 tptp.bool tptp.nat)) (tptp.fequal @t36))) (tptp.hAPP @t1681 @t1684 (tptp.hAPP @t1683 (tptp.fun @t1681 @t1684) (tptp.combs tptp.nat @t15 @t36) (tptp.hAPP @t119 @t1683 (tptp.hAPP @t160 (tptp.fun @t119 @t1683) (tptp.combb @t13 @t159 tptp.nat) @t158) @t1295)) @t1682))))) (tptp.hAPP tptp.nat @t133 @t1485 @t1679))))))) % 14.71/15.04 (assume @p1010 (forall @t1698 (= (tptp.hAPP @t139 tptp.nat (tptp.size_size @t139) @t1697) (tptp.hAPP tptp.nat tptp.nat @t1389 @t1695)))) % 14.71/15.04 (assume @p1011 (forall @t1698 (=> (= @t720 @t1695) (= (tptp.hAPP @t91 @t139 (tptp.hAPP @t61 @t140 @t138 @t788) (tptp.hAPP @t91 @t91 @t1699 @t435)) (tptp.hAPP @t139 @t139 (tptp.rev @t36) @t1697))))) % 14.71/15.04 (assume @p1012 (forall (@list @t13 @t15 @t435 @t1700 @t368 @t567) (=> (= @t720 (tptp.hAPP @t91 tptp.nat @t740 @t567)) (=> (= @t719 (tptp.hAPP @t91 tptp.nat @t740 @t1700)) (= (tptp.hAPP @t91 @t139 @t1704 (tptp.hAPP @t91 @t91 (tptp.hAPP @t91 @t420 @t642 @t567) @t1700)) (tptp.hAPP @t139 @t139 (tptp.hAPP @t139 @t1703 @t1702 (tptp.hAPP @t91 @t139 @t1696 @t567)) (tptp.hAPP @t91 @t139 @t1701 @t1700))))))) % 14.71/15.04 (assume @p1013 (forall (@list @t15 @t13 @t245 @t401 @t574) (= (tptp.hAPP @t91 @t139 (tptp.hAPP @t61 @t140 @t138 @t598) @t574) (tptp.hAPP @t91 @t139 (tptp.hAPP @t1710 @t140 (tptp.hAPP @t139 (tptp.fun @t1710 @t140) (tptp.list_case @t139 @t15) @t1711) (tptp.hAPP @t140 @t1710 (tptp.hAPP @t1709 (tptp.fun @t140 @t1710) (tptp.combc @t15 @t140 @t140) (tptp.hAPP @t1706 @t1709 (tptp.hAPP (tptp.fun @t1703 @t1708) (tptp.fun @t1706 @t1709) (tptp.combb @t1703 @t1708 @t15) (tptp.combb @t139 @t139 @t91)) (tptp.hAPP @t159 @t1706 (tptp.hAPP @t1707 (tptp.fun @t159 @t1706) (tptp.combb @t36 @t1703 @t15) @t1705) @t309))) @t1691)) @t574)))) % 14.71/15.04 (assume @p1014 (forall (@list @t15 @t13 @t401 @t244 @t574) (= (tptp.hAPP @t91 @t139 @t1691 @t1718) (tptp.hAPP @t61 @t139 (tptp.hAPP @t1717 @t1712 (tptp.hAPP @t139 (tptp.fun @t1717 @t1712) (tptp.list_case @t139 @t13) @t1711) (tptp.hAPP @t1712 @t1717 (tptp.hAPP @t1716 (tptp.fun @t1712 @t1717) (tptp.combc @t13 @t1712 @t1712) (tptp.hAPP @t1714 @t1716 (tptp.hAPP (tptp.fun @t1703 @t1715) (tptp.fun @t1714 @t1716) (tptp.combb @t1703 @t1715 @t13) (tptp.combb @t139 @t139 @t61)) (tptp.hAPP @t1713 @t1714 (tptp.hAPP @t1707 (tptp.fun @t1713 @t1714) (tptp.combb @t36 @t1703 @t13) @t1705) (tptp.hAPP @t15 @t1713 (tptp.hAPP @t160 (tptp.fun @t15 @t1713) (tptp.combc @t13 @t15 @t36) @t158) @t244)))) (tptp.hAPP @t91 @t1712 (tptp.hAPP @t141 (tptp.fun @t91 @t1712) (tptp.combc @t61 @t91 @t139) @t138) @t574))) @t401)))) % 14.71/15.04 (assume @p1015 (forall (@list @t15 @t13 @t368 @t774 @t369 @t435 @t396) (= (tptp.hAPP @t91 @t139 (tptp.hAPP @t61 @t140 @t138 @t807) (tptp.hAPP @t15 @t91 (tptp.hAPP tptp.nat @t1722 (tptp.hAPP @t91 @t1723 @t1721 @t435) @t774) @t396)) (tptp.hAPP @t36 @t139 (tptp.hAPP tptp.nat @t1720 (tptp.hAPP @t139 (tptp.fun tptp.nat @t1720) (tptp.list_update @t36) @t1697) @t774) @t1719)))) % 14.71/15.04 (assume @p1016 (forall (@list @t15 @t13 @t369 @t368 @t396 @t435) (= (tptp.hAPP @t91 @t139 (tptp.hAPP @t61 @t140 @t138 @t371) (tptp.hAPP @t91 @t91 (tptp.hAPP @t15 @t420 @t419 @t396) @t435)) (tptp.hAPP @t139 @t139 (tptp.hAPP @t36 @t1703 @t1705 @t1719) @t1697)))) % 14.71/15.04 (assume @p1017 (forall @t1726 (=> @t1725 (not (=> @t847 (not @t1724)))))) % 14.71/15.04 (assume @p1018 (forall @t1726 (=> @t1725 @t1724))) % 14.71/15.04 (assume @p1019 (forall @t1726 (=> @t1725 @t847))) % 14.71/15.04 (assume @p1020 (forall (@list @t13 @t261 @t265 @t401) (= (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t513 (tptp.hAPP @t1727 @t80 @t1729 (tptp.hAPP @t61 @t1727 @t1728 @t401)))) (and (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t1077 @t846)) @t508)))) % 14.71/15.04 (assume @p1021 (forall (@list @t15 @t13 @t368) (= (tptp.hAPP @t91 @t139 @t1696 @t415) @t1711))) % 14.71/15.04 (assume @p1022 (forall (@list @t15 @t13 @t435) (= (tptp.hAPP @t91 @t139 (tptp.hAPP @t61 @t140 @t138 @t89) @t435) @t1711))) % 14.71/15.04 (assume @p1023 (forall (@list @t15 @t13 @t368 @t435) (=> (tptp.hBOOL (tptp.hAPP @t61 tptp.bool @t65 @t435)) (tptp.hBOOL (tptp.hAPP @t1731 tptp.bool (tptp.distinct @t1730) (tptp.hAPP @t61 @t1731 (tptp.hAPP @t91 (tptp.fun @t61 @t1731) (tptp.zip @t15 @t13) @t368) @t435)))))) % 14.71/15.04 (assume @p1024 (forall (@list @t15 @t13 @t435 @t368) (=> @t492 (tptp.hBOOL (tptp.hAPP @t139 tptp.bool (tptp.distinct @t36) @t1697))))) % 14.71/15.04 (assume @p1025 (forall @t1733 (= (tptp.hAPP @t139 @t139 (tptp.hAPP tptp.nat @t1703 (tptp.take @t36) @t771) @t1697) (tptp.hAPP @t91 @t139 (tptp.hAPP @t61 @t140 @t138 @t1033) (tptp.hAPP @t91 @t91 (tptp.hAPP tptp.nat @t420 @t1732 @t771) @t435))))) % 14.71/15.04 (assume @p1026 (forall @t1733 (= (tptp.hAPP @t139 @t139 (tptp.hAPP tptp.nat @t1703 (tptp.drop @t36) @t771) @t1697) (tptp.hAPP @t91 @t139 (tptp.hAPP @t61 @t140 @t138 @t818) (tptp.hAPP @t91 @t91 (tptp.hAPP tptp.nat @t420 @t1734 @t771) @t435))))) % 14.71/15.04 (assume @p1027 (forall (@list @t15 @t13 @t774 @t369 @t1202 @t396) (= (tptp.hAPP @t91 @t139 (tptp.hAPP @t61 @t140 @t138 @t775) (tptp.hAPP @t15 @t91 (tptp.hAPP tptp.nat @t1722 (tptp.replicate @t15) @t1202) @t396)) (tptp.hAPP @t36 @t139 (tptp.hAPP tptp.nat @t1720 (tptp.replicate @t36) (tptp.hAPP tptp.nat tptp.nat @t1393 @t1202)) @t1719)))) % 14.71/15.04 (assume @p1028 (forall (@list @t15 @t13 @t435 @t774 @t368) (=> @t1135 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1134 @t1695)) (= (tptp.hAPP tptp.nat @t36 (tptp.hAPP @t139 @t1684 (tptp.nth @t36) @t1697) @t774) (tptp.hAPP @t15 @t36 (tptp.hAPP @t13 @t159 @t158 @t1283) (tptp.hAPP tptp.nat @t15 (tptp.hAPP @t91 @t1681 @t1680 @t435) @t774))))))) % 14.71/15.04 (assume @p1029 (forall @t1735 (= (tptp.hAPP @t91 @t139 @t1704 @t568) (tptp.hAPP @t139 @t139 (tptp.hAPP @t139 @t1703 @t1702 (tptp.hAPP @t91 @t139 @t1696 (tptp.hAPP @t91 @t91 (tptp.hAPP tptp.nat @t420 @t1732 @t720) @t568))) (tptp.hAPP @t91 @t139 @t1701 (tptp.hAPP @t91 @t91 (tptp.hAPP tptp.nat @t420 @t1734 @t720) @t568)))))) % 14.71/15.04 (assume @p1030 (forall @t1735 (= (tptp.hAPP @t91 @t139 @t1696 (tptp.hAPP @t91 @t91 (tptp.hAPP @t91 @t420 @t642 @t435) @t568)) (tptp.hAPP @t139 @t139 (tptp.hAPP @t139 @t1703 @t1702 (tptp.hAPP @t91 @t139 (tptp.hAPP @t61 @t140 @t138 (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t1695) @t368)) @t435)) (tptp.hAPP @t91 @t139 (tptp.hAPP @t61 @t140 @t138 (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t67 @t1695) @t368)) @t568))))) % 14.71/15.04 (assume @p1031 (forall @t744 (=> (forall (@list @t660 @t1736 @t1235) (=> (= (tptp.hAPP @t61 tptp.nat @t146 @t660) (tptp.hAPP @t91 tptp.nat @t740 @t1736)) (=> (= @t1235 @t1679) (=> (= @t660 (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t1235) @t401)) (=> (= @t1736 (tptp.hAPP @t91 @t91 (tptp.hAPP tptp.nat @t420 @t1732 @t1235) @t574)) (tptp.hBOOL (tptp.hAPP @t139 tptp.bool @t290 (tptp.hAPP @t91 @t139 (tptp.hAPP @t61 @t140 @t138 @t660) @t1736)))))))) (tptp.hBOOL (tptp.hAPP @t139 tptp.bool @t290 @t1692))))) % 14.71/15.04 (assume @p1032 (forall @t659 (= @t711 (and @t707 (forall @t344 (=> @t1738 (tptp.hBOOL (tptp.hAPP @t79 tptp.bool (tptp.hAPP @t56 @t80 @t1075 @t760) @t338)))))))) % 14.71/15.04 (assume @p1033 (forall (@list @t13 @t374 @t499) (= @t1078 (and (forall @t344 (=> (tptp.hBOOL (tptp.hAPP @t80 tptp.bool @t1737 @t499)) (tptp.hBOOL (tptp.hAPP @t79 tptp.bool (tptp.hAPP @t56 @t80 @t1075 (tptp.hAPP @t42 @t56 (tptp.hAPP @t1739 (tptp.fun @t42 @t56) (tptp.combc @t13 @t42 @t42) (tptp.hAPP @t1638 @t1739 (tptp.hAPP (tptp.fun @t193 @t180) (tptp.fun @t1638 @t1739) (tptp.combb @t193 @t180 @t13) @t552) @t1639)) @t1637)) @t338)))) (forall @t344 (=> @t452 @t547)))))) % 14.71/15.04 (assume @p1034 (forall @t589 (= @t603 (and @t707 (forall @t344 (=> @t1738 (tptp.hBOOL (tptp.hAPP @t79 tptp.bool (tptp.hAPP @t56 @t80 @t1075 @t195) @t338)))))))) % 14.71/15.04 (assume @p1035 (forall @t1745 (= @t1744 (and @t743 (forall @t344 (=> (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t1741 @t1694)) @t1740)))))) % 14.71/15.04 (assume @p1036 (forall (@list @t13 @t374 @t1746) (= (tptp.hAPP @t113 @t66 @t112 (tptp.hAPP @t113 @t113 (tptp.hAPP @t42 (tptp.fun @t113 @t113) (tptp.cons @t42) @t374) @t1746)) (tptp.hAPP @t66 @t66 @t1673 (tptp.hAPP @t113 @t66 @t112 @t1746))))) % 14.71/15.04 (assume @p1037 (forall (@list @t15 @t13 @t471 @t1536 @t290 @t261 @t265) (=> @t1747 (=> (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t1742 @t471) @t1536)) (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t1742 (tptp.hAPP @t61 @t61 (tptp.hAPP @t61 @t62 @t60 @t261) @t471)) (tptp.hAPP @t91 @t91 (tptp.hAPP @t91 @t420 @t642 @t265) @t1536))))))) % 14.71/15.04 (assume @p1038 (forall (@list @t15 @t13 @t290 @t574) (= (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t1742 @t89) @t574)) (= @t574 @t415)))) % 14.71/15.04 (assume @p1039 (forall (@list @t15 @t13 @t290 @t401) (= (tptp.hBOOL (tptp.hAPP @t91 tptp.bool @t1743 @t415)) @t404))) % 14.71/15.04 (assume @p1040 (forall (@list @t15 @t13 @t290 @t245 @t401 @t244 @t574) (= (tptp.hBOOL (tptp.hAPP @t91 tptp.bool @t1748 @t1718)) (and @t1087 @t1744)))) % 14.71/15.04 (assume @p1041 (forall (@list @t15 @t13 @t770 @t290 @t866 @t1749) (=> (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t1742 @t866) @t1749)) (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t1742 (tptp.hAPP @t61 @t61 @t850 @t866)) (tptp.hAPP @t91 @t91 (tptp.hAPP tptp.nat @t420 @t1734 @t770) @t1749)))))) % 14.71/15.04 (assume @p1042 (forall @t1745 (= (tptp.hBOOL (tptp.hAPP @t91 tptp.bool @t1751 @t1750)) @t1744))) % 14.71/15.04 (assume @p1043 (forall @t1745 (= (tptp.hBOOL (tptp.hAPP @t91 tptp.bool @t1751 @t574)) (tptp.hBOOL (tptp.hAPP @t91 tptp.bool @t1743 @t1750))))) % 14.71/15.04 (assume @p1044 (forall (@list @t15 @t13 @t770 @t290 @t401 @t574) (=> @t1744 (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t1742 @t965) (tptp.hAPP @t91 @t91 (tptp.hAPP tptp.nat @t420 @t1732 @t770) @t574)))))) % 14.71/15.04 (assume @p1045 (forall @t1745 (=> @t1744 @t743))) % 14.71/15.04 (assume @p1046 (forall (@list @t13 @t15 @t290 @t650 @t649 @t401 @t574) (=> @t743 (= (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t1742 @t651) (tptp.hAPP @t91 @t91 @t1752 @t649))) (and @t1744 (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t1742 @t650) @t649))))))) % 14.71/15.04 (assume @p1047 (forall @t1745 (= @t1744 (and @t743 (forall @t229 (=> @t1297 (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t34 @t290 @t1296) (tptp.hAPP tptp.nat @t15 @t1682 @t220))))))))) % 14.71/15.04 (assume @p1048 (forall @t1755 (=> @t1744 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1754 @t706)) @t1753)))) % 14.71/15.04 (assume @p1049 (forall @t1755 (=> @t1744 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1754 @t742)) @t1753)))) % 14.71/15.04 (assume @p1050 (forall @t589 (= @t603 (tptp.hBOOL (tptp.hAPP @t61 tptp.bool (tptp.hAPP @t61 @t66 (tptp.hAPP @t56 @t111 (tptp.list_all2 @t13 @t13) @t195) @t401) @t574))))) % 14.71/15.04 (assume @p1051 (forall (@list @t15 @t13 @t361 @t245 @t244 @t290 @t401 @t574) (=> @t1744 (=> @t1087 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1306 @t742)) @t1756))))) % 14.71/15.04 (assume @p1052 (forall (@list @t15 @t13 @t245 @t244 @t290 @t574 @t361 @t401) (=> @t1307 (=> @t1744 (=> @t1087 @t1756))))) % 14.71/15.04 (assume @p1053 (forall @t1759 (=> (forall @t344 (=> (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t1741 (tptp.hAPP @t139 @t37 @t1693 (tptp.hAPP @t91 @t139 (tptp.hAPP @t61 @t140 @t138 @t261) @t265)))) @t1740)) (=> @t1758 @t1747)))) % 14.71/15.04 (assume @p1054 (forall @t1759 (=> @t1758 (=> (forall @t1239 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1316 @t1757)) (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t34 @t290 (tptp.hAPP tptp.nat @t13 (tptp.hAPP @t61 @t119 @t118 @t261) @t1235)) (tptp.hAPP tptp.nat @t15 (tptp.hAPP @t91 @t1681 @t1680 @t265) @t1235))))) @t1747)))) % 14.71/15.04 (assume @p1055 (forall @t1760 (= (tptp.hBOOL (tptp.hAPP @t91 tptp.bool @t1743 (tptp.hAPP @t91 @t91 @t1752 @t573))) (exists @t657 (and (= @t401 (tptp.hAPP @t61 @t61 @t582 @t656)) (= (tptp.hAPP @t61 tptp.nat @t146 @t581) @t742) (= (tptp.hAPP @t61 tptp.nat @t146 @t656) (tptp.hAPP @t91 tptp.nat @t740 @t573)) (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t1742 @t581) @t574)) (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t1742 @t656) @t573))))))) % 14.71/15.04 (assume @p1056 (forall @t1760 (= (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t1742 @t578) @t573)) (exists @t657 (and (= @t573 (tptp.hAPP @t91 @t91 (tptp.hAPP @t91 @t420 @t642 @t581) @t656)) (= (tptp.hAPP @t91 tptp.nat @t740 @t581) @t706) (= (tptp.hAPP @t91 tptp.nat @t740 @t656) @t705) (tptp.hBOOL (tptp.hAPP @t91 tptp.bool @t1743 @t581)) (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t1742 @t574) @t656))))))) % 14.71/15.04 (assume @p1057 (forall (@list @t15 @t13 @t290 @t401 @t244 @t574) (= (tptp.hBOOL (tptp.hAPP @t91 tptp.bool @t1743 @t1718)) (exists @t1761 (and (= @t401 (tptp.hAPP @t61 @t61 (tptp.hAPP @t13 @t62 @t88 @t626) @t660)) (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t34 @t290 @t626) @t244)) (tptp.hBOOL (tptp.hAPP @t91 tptp.bool (tptp.hAPP @t61 @t103 @t1742 @t660) @t574))))))) % 14.71/15.04 (assume @p1058 (forall (@list @t15 @t13 @t290 @t245 @t401 @t574) (= (tptp.hBOOL (tptp.hAPP @t91 tptp.bool @t1748 @t574)) (exists @t1761 (and (= @t574 (tptp.hAPP @t91 @t91 (tptp.hAPP @t15 @t420 @t419 @t626) @t660)) (tptp.hBOOL (tptp.hAPP @t15 tptp.bool @t1086 @t626)) (tptp.hBOOL (tptp.hAPP @t91 tptp.bool @t1743 @t660))))))) % 14.71/15.04 (assume @p1059 (forall @t1768 (=> @t521 (and (=> @t1766 (= @t1763 @t526)) (=> @t1767 (= @t1763 @t522)))))) % 14.71/15.04 (assume @p1060 (forall @t825 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1197 @t720)) (= (tptp.hAPP @t61 @t61 @t64 @t1033) (tptp.hAPP @t61 @t61 @t1770 @t368))))) % 14.71/15.04 (assume @p1061 (forall @t28 (=> @t1640 (forall @t1029 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1112 (tptp.hAPP @t13 @t13 @t1400 @t46))))))) % 14.71/15.04 (assume @p1062 (forall @t28 (=> @t1640 (not (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t950 @t46) @t53)))))) % 14.71/15.04 (assume @p1063 (forall @t28 (=> @t1640 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1595 @t46))))) % 14.71/15.04 (assume @p1064 (forall @t28 (=> @t1771 (not (= @t53 @t46))))) % 14.71/15.04 (assume @p1065 (forall @t28 (=> @t1771 (not (= @t46 @t53))))) % 14.71/15.04 (assume @p1066 (forall @t28 (=> @t1640 (not (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t151 @t46) @t53)))))) % 14.71/15.04 (assume @p1067 (forall @t28 (=> @t1640 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1587 @t46))))) % 14.71/15.04 (assume @p1068 (forall @t28 (=> @t1640 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1587 (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t48 @t46) @t46)))))) % 14.71/15.04 (assume @p1069 (= @t1764 @t1542)) % 14.71/15.04 (assume @p1070 (forall @t28 (=> @t47 (forall @t549 (= (= @t46 @t601) (= @t601 @t46)))))) % 14.71/15.04 (assume @p1071 (forall @t1141 (= @t1081 (tptp.hAPP tptp.nat tptp.nat @t1361 @t1764)))) % 14.71/15.04 (assume @p1072 (forall @t1141 (= @t1081 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1329 @t1764) @t771)))) % 14.71/15.04 (assume @p1073 @t1773) % 14.71/15.04 (assume @p1074 (forall @t1148 (= (tptp.hAPP tptp.nat tptp.nat @t1523 @t1081) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1500 @t1774) @t771)))) % 14.71/15.04 (assume @p1075 @t1776) % 14.71/15.04 (assume @p1076 @t1778) % 14.71/15.04 (assume @p1077 (forall @t441 (= (tptp.hAPP @t61 tptp.nat @t146 @t519) @t1765))) % 14.71/15.04 (assume @p1078 (forall @t441 (= (tptp.hAPP @t61 tptp.nat @t146 @t730) @t1765))) % 14.71/15.04 (assume @p1079 (forall @t825 (= (tptp.hAPP @t61 @t61 @t137 @t1033) (tptp.hAPP @t61 @t61 @t1770 @t730)))) % 14.71/15.04 (assume @p1080 (forall @t441 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1050 @t1764)) (= @t727 @t368)))) % 14.71/15.04 (assume @p1081 (forall @t1141 (=> @t1543 (= @t771 @t1779)))) % 14.71/15.04 (assume @p1082 (forall @t1141 (=> @t1543 (= @t1779 @t771)))) % 14.71/15.04 (assume @p1083 (forall @t1193 (and (=> @t1780 (= @t1370 @t771)) (=> (not @t1780) (= @t1370 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t142 @t1329 @t1774) @t771))))))) % 14.71/15.04 (assume @p1084 (forall @t1293 (and (=> @t1520 (= @t1781 @t526)) (=> @t1545 (= @t1781 (tptp.hAPP tptp.nat @t13 @t1282 @t1769)))))) % 14.71/15.04 (assume @p1085 @t1787) % 14.71/15.04 (assume @p1086 (forall @t441 (= @t519 (tptp.hAPP @t61 @t61 (tptp.hAPP tptp.nat @t62 @t135 @t1765) @t368)))) % 14.71/15.04 (assume @p1087 (forall @t1768 (and (=> @t1766 (= @t1788 @t519)) (=> @t1767 (= @t1788 (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 (tptp.hAPP @t61 @t107 @t105 @t519) @t778) @t369)))))) % 14.71/15.04 (assume @p1088 (forall @t1608 (=> @t1545 (= (tptp.hAPP @t61 @t61 @t137 @t776) (tptp.hAPP @t13 @t61 (tptp.hAPP tptp.nat @t106 @t124 @t1769) @t369))))) % 14.71/15.04 (assume @p1089 (forall @t1794 (=> @t1793 (tptp.enum @t1791)))) % 14.71/15.04 (assume @p1090 (tptp.enum tptp.bool)) % 14.71/15.04 (assume @p1091 (forall @t1794 (=> @t1793 (tptp.enum @t1795)))) % 14.71/15.04 (assume @p1092 (forall @t1794 (=> (tptp.preorder @t1789) (tptp.preorder @t1795)))) % 14.71/15.04 (assume @p1093 (forall @t1794 (=> (tptp.order @t1789) (tptp.order @t1795)))) % 14.71/15.04 (assume @p1094 (forall @t1794 (=> (tptp.top @t1789) (tptp.top @t1795)))) % 14.71/15.04 (assume @p1095 (forall @t1794 (=> (tptp.ord @t1789) (tptp.ord @t1795)))) % 14.71/15.04 (assume @p1096 (forall @t1794 (=> (tptp.minus @t1789) (tptp.minus @t1795)))) % 14.71/15.04 (assume @p1097 (forall @t1794 (=> (and (tptp.cl_HOL_Oequal @t1789) @t1792) (tptp.cl_HOL_Oequal @t1795)))) % 14.71/15.04 (assume @p1098 (tptp.semiri456707255roduct tptp.nat)) % 14.71/15.04 (assume @p1099 (tptp.ordere223160158up_add tptp.nat)) % 14.71/15.04 (assume @p1100 (tptp.ordere236663937imp_le tptp.nat)) % 14.71/15.04 (assume @p1101 (tptp.ordere779506340up_add tptp.nat)) % 14.71/15.04 (assume @p1102 (tptp.ordere216010020id_add tptp.nat)) % 14.71/15.04 (assume @p1103 (tptp.cancel146912293up_add tptp.nat)) % 14.71/15.04 (assume @p1104 (tptp.cancel_semigroup_add tptp.nat)) % 14.71/15.04 (assume @p1105 (tptp.linordered_semidom tptp.nat)) % 14.71/15.04 (assume @p1106 (tptp.ab_semigroup_add tptp.nat)) % 14.71/15.04 (assume @p1107 (tptp.comm_monoid_add tptp.nat)) % 14.71/15.04 (assume @p1108 (tptp.comm_semiring_1 tptp.nat)) % 14.71/15.04 (assume @p1109 (tptp.zero_neq_one tptp.nat)) % 14.71/15.04 (assume @p1110 (tptp.preorder tptp.nat)) % 14.71/15.04 (assume @p1111 (tptp.linorder tptp.nat)) % 14.71/15.04 (assume @p1112 (tptp.monoid_add tptp.nat)) % 14.71/15.04 (assume @p1113 (tptp.order tptp.nat)) % 14.71/15.04 (assume @p1114 (tptp.ord tptp.nat)) % 14.71/15.04 (assume @p1115 (tptp.minus tptp.nat)) % 14.71/15.04 (assume @p1116 (tptp.zero tptp.nat)) % 14.71/15.04 (assume @p1117 (tptp.one tptp.nat)) % 14.71/15.04 (assume @p1118 (tptp.cl_HOL_Oequal tptp.nat)) % 14.71/15.04 (assume @p1119 (tptp.preorder tptp.bool)) % 14.71/15.04 (assume @p1120 (tptp.order tptp.bool)) % 14.71/15.04 (assume @p1121 (tptp.top tptp.bool)) % 14.71/15.04 (assume @p1122 (tptp.ord tptp.bool)) % 14.71/15.04 (assume @p1123 (tptp.minus tptp.bool)) % 14.71/15.04 (assume @p1124 (tptp.cl_HOL_Oequal tptp.bool)) % 14.71/15.04 (assume @p1125 (forall (@list @t1789) (tptp.cl_HOL_Oequal (tptp.list @t1789)))) % 14.71/15.04 (assume @p1126 (forall @t1794 (tptp.cl_HOL_Oequal @t1791))) % 14.71/15.04 (assume @p1127 (forall (@list @t1797 @t1796) (= (tptp.ti @t1797 @t1798) @t1798))) % 14.71/15.04 (assume @p1128 (forall @t1799 (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 (tptp.hAPP tptp.bool @t44 @t59 tptp.fTrue) @t369) @t396) @t526))) % 14.71/15.04 (assume @p1129 (forall @t1799 (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 (tptp.hAPP tptp.bool @t44 @t59 tptp.fFalse) @t369) @t396) @t991))) % 14.71/15.04 (assume @p1130 (forall @t1802 (or (= @t1801 tptp.fTrue) (= @t1801 tptp.fFalse)))) % 14.71/15.04 (assume @p1131 (forall (@list @t13 @t1800 @t369) (or (not (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t1800 @t369))) (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t191 @t1800))))) % 14.71/15.04 (assume @p1132 (forall @t1802 (or (not @t1805) @t1804))) % 14.71/15.04 (assume @p1133 (forall @t1802 (or @t1803 @t1805))) % 14.71/15.04 (assume @p1134 (forall @t1809 (= (tptp.hAPP @t13 @t14 (tptp.hAPP @t18 @t17 (tptp.hAPP @t20 @t19 @t16 @t1800) @t1807) @t1806) (tptp.hAPP @t15 @t14 @t1800 @t1808)))) % 14.71/15.04 (assume @p1135 (forall @t1809 (= (tptp.hAPP @t13 @t14 (tptp.hAPP @t15 @t17 (tptp.hAPP @t24 @t23 @t22 @t1800) @t1807) @t1806) (tptp.hAPP @t15 @t14 @t1810 @t1807)))) % 14.71/15.04 (assume @p1136 (forall (@list @t13 @t1800) (= (tptp.hAPP @t13 @t13 @t26 @t1800) @t1811))) % 14.71/15.04 (assume @p1137 @t1813) % 14.71/15.04 (assume @p1138 (forall @t1809 (= (tptp.hAPP @t13 @t14 (tptp.hAPP @t18 @t17 (tptp.hAPP @t24 @t19 @t32 @t1800) @t1807) @t1806) (tptp.hAPP @t15 @t14 @t1810 @t1808)))) % 14.71/15.04 (assume @p1139 (tptp.hBOOL tptp.fTrue)) % 14.71/15.04 (assume @p1140 (forall @t1817 (or @t1804 @t1816 @t1814))) % 14.71/15.04 (assume @p1141 (forall @t1819 (or @t1818 @t1803))) % 14.71/15.04 (assume @p1142 (forall @t1819 (or @t1818 @t1815))) % 14.71/15.04 (assume @p1143 (forall @t1817 (or @t1804 @t1820))) % 14.71/15.04 (assume @p1144 (forall @t1819 (or @t1816 @t1820))) % 14.71/15.04 (assume @p1145 (forall @t1819 (or (not @t1820) @t1803 @t1815))) % 14.71/15.04 (assume @p1146 (not (tptp.hBOOL tptp.fFalse))) % 14.71/15.04 (assume @p1147 (forall @t1799 (or (not @t1821) @t992))) % 14.71/15.04 (assume @p1148 (forall @t1799 (or @t1124 @t1821))) % 14.71/15.04 (assume @p1149 (not @t1823)) % 14.71/15.04 (assume @p1150 true) % 14.71/15.04 (step @p1151 :rule symm :premises (@p104)) % 14.71/15.04 (step @p1152 :rule symm :premises (@p106)) % 14.71/15.04 (step @p1153 :rule refl :args (@t1829)) % 14.71/15.04 (step @p1154 :rule eq-symm :args (@t1830 @t1824)) % 14.71/15.04 (step @p1155 :rule nary_cong :premises (@p1154 @p1153) :args (@t1831)) % 14.71/15.04 (step @p1156 :rule cong :premises (@p1155) :args (@t1833)) % 14.71/15.04 (step @p1157 :rule aci_norm :args ((= (or false @t1842) @t1842))) % 14.71/15.04 (step @p1158 :rule eq-symm :args (@t1840 @t1841)) % 14.71/15.04 (step @p1159 :rule evaluate :args ((not true))) % 14.71/15.04 (step @p1160 :rule eq-refl :args (@t1835)) % 14.71/15.04 (step @p1161 :rule cong :premises (@p1160) :args (@t1843)) % 14.71/15.04 (step @p1162 :rule trans :premises (@p1161 @p1159)) % 14.71/15.04 (step @p1163 :rule nary_cong :premises (@p1162 @p1158) :args (@t1844)) % 14.71/15.04 (step @p1164 :rule trans :premises (@p1163 @p1157)) % 14.71/15.04 (step @p1165 :rule cong :premises (@p1164) :args ((forall @t1845 @t1844))) % 14.71/15.04 (step @p1166 :rule quant-var-elim-eq :args ((= (forall @t1850 @t1849) @t1844))) % 14.71/15.04 (step @p1167 :rule aci_norm :args ((= @t1851 @t1849))) % 14.71/15.04 (step @p1168 :rule cong :premises (@p1167) :args (@t1852)) % 14.71/15.04 (step @p1169 :rule trans :premises (@p1168 @p1166)) % 14.71/15.04 (step @p1170 :rule cong :premises (@p1169) :args (@t1853)) % 14.71/15.04 (step @p1171 :rule quant-merge-prenex :args ((= @t1853 (forall @t1854 @t1851)))) % 14.71/15.04 (step @p1172 :rule symm :premises (@p1171)) % 14.71/15.04 (step @p1173 :rule trans :premises (@p1172 @p1170)) % 14.71/15.04 (step @p1174 :rule trans :premises (@p1173 @p1165)) % 14.71/15.04 (step @p1175 :rule refl :args (@t1847)) % 14.71/15.04 (step @p1176 :rule eq-symm :args (@t1835 @t1846)) % 14.71/15.04 (step @p1177 :rule cong :premises (@p1176) :args (@t1855)) % 14.71/15.04 (step @p1178 :rule nary_cong :premises (@p1177 @p1175) :args (@t1856)) % 14.71/15.04 (step @p1179 :rule cong :premises (@p1178) :args (@t1857)) % 14.71/15.04 (step @p1180 :rule trans :premises (@p1179 @p1174)) % 14.71/15.04 (step @p1181 :rule nary_cong :premises (@p1180 @p1156) :args ((and @t1857 @t1833))) % 14.71/15.04 (step @p1182 :rule alpha_equiv :args (@t1860 @t1861 (@list @t1825 @t1828 @t1824))) % 14.71/15.04 (step @p1183 :rule alpha_equiv :args (@t1864 @t1861 (@list @t1834 @t1836 @t1846))) % 14.71/15.04 (step @p1184 :rule nary_cong :premises (@p1183 @p1182) :args (@t1865)) % 14.71/15.04 (step @p1185 :rule quant-miniscope-and :args ((= (forall @t372 (and @t1863 @t1859)) @t1865))) % 14.71/15.04 (step @p1186 :rule trans :premises (@p1185 @p1184)) % 14.71/15.04 (step @p1187 :rule trans :premises (@p1186 @p1181)) % 14.71/15.04 (step @p1188 :rule refl :args (@t524)) % 14.71/15.04 (step @p1189 :rule bool-double-not-elim :args (@t1858)) % 14.71/15.04 (step @p1190 :rule nary_cong :premises (@p1189 @p1188) :args ((or (not @t1862) @t524))) % 14.71/15.04 (step @p1191 :rule bool-impl-elim :args (@t1862 @t524)) % 14.71/15.04 (step @p1192 :rule trans :premises (@p1191 @p1190)) % 14.71/15.04 (step @p1193 :rule bool-impl-elim :args (@t1858 @t527)) % 14.71/15.04 (step @p1194 :rule nary_cong :premises (@p1193 @p1192) :args (@t1866)) % 14.71/15.04 (step @p1195 :rule cong :premises (@p1194) :args ((forall @t372 @t1866))) % 14.71/15.04 (step @p1196 :rule trans :premises (@p1195 @p1187)) % 14.71/15.04 (step @p1197 :rule refl :args (@t524)) % 14.71/15.04 (step @p1198 :rule eq-symm :args (@t368 @t89)) % 14.71/15.04 (step @p1199 :rule cong :premises (@p1198) :args (@t521)) % 14.71/15.04 (step @p1200 :rule cong :premises (@p1199 @p1197) :args (@t525)) % 14.71/15.04 (step @p1201 :rule refl :args (@t527)) % 14.71/15.04 (step @p1202 :rule cong :premises (@p1198 @p1201) :args (@t528)) % 14.71/15.04 (step @p1203 :rule nary_cong :premises (@p1202 @p1200) :args (@t529)) % 14.71/15.04 (step @p1204 :rule cong :premises (@p1203) :args (@t530)) % 14.71/15.04 (step @p1205 :rule trans :premises (@p1204 @p1196)) % 14.71/15.04 (step @p1206 :rule eq_resolve :premises (@p200 @p1205)) % 14.71/15.04 (step @p1207 :rule and_elim :premises (@p1206) :args (0)) % 14.71/15.04 (step @p1208 :rule instantiate :premises (@p1207) :args ((@list tptp.arrow_2142409994le_alt tptp.c))) % 14.71/15.04 (step @p1209 :rule and_elim :premises (@p1206) :args (1)) % 14.71/15.04 (step @p1210 :rule eq-symm :args (@t1868 @t1869)) % 14.71/15.04 (step @p1211 :rule eq-symm :args (@t213 @t208)) % 14.71/15.04 (step @p1212 :rule nary_cong :premises (@p1211 @p1210) :args (@t1870)) % 14.71/15.04 (step @p1213 :rule refl :args (@t1871)) % 14.71/15.04 (step @p1214 :rule cong :premises (@p1213 @p1212) :args ((=> @t1871 @t1870))) % 14.71/15.04 (assume-push @p1893 @t1871) % 14.71/15.04 (step @p1216 :rule instantiate :premises (@p1209) :args (@t1872)) % 14.71/15.04 (step-pop @p1894 :rule scope :premises (@p1216)) % 14.71/15.04 (step @p1217 :rule process_scope :premises (@p1894) :args (@t1870)) % 14.71/15.04 (step @p1219 :rule eq_resolve :premises (@p1217 @p1214)) % 14.71/15.04 (step @p1220 :rule implies_elim :premises (@p1219)) % 14.71/15.04 (step @p1221 :rule chain_m_resolution :premises (@p1220 @p1209) :args (@t1875 @t1876 (@list @t1871))) % 14.71/15.04 (step @p1222 :rule instantiate :premises (@p141) :args (@t1877)) % 14.71/15.04 (step @p1223 :rule cnf_or_pos :args (@t1875)) % 14.71/15.04 (step @p1224 :rule reordering :premises (@p1223) :args 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14.71/15.04 (assume-push @p1920 @t2064) % 14.71/15.04 (assume-push @p1921 @t2042) % 14.71/15.04 (assume-push @p1922 @t2091) % 14.71/15.04 (assume-push @p1923 @t2082) % 14.71/15.04 (assume-push @p1924 @t2067) % 14.71/15.04 (assume-push @p1925 @t2058) % 14.71/15.04 (assume-push @p1926 @t2033) % 14.71/15.04 (assume-push @p1927 @t1974) % 14.71/15.04 (step @p1542 :rule evaluate :args (@t2104)) % 14.71/15.04 (step @p1543 :rule false_intro :premises (@p1476)) % 14.71/15.04 (step @p1544 :rule symm :premises (@p1380)) % 14.71/15.04 (step @p1545 :rule symm :premises (@p1463)) % 14.71/15.04 (step @p1546 :rule refl :args (@t212)) % 14.71/15.04 (step @p1547 :rule refl :args (@t210)) % 14.71/15.04 (step @p1548 :rule cong :premises (@p1547 @p1547 @p1546 @p1545) :args ((tptp.hAPP @t210 @t210 @t212 @t2086))) % 14.71/15.04 (step @p1549 :rule symm :premises (@p1443)) % 14.71/15.04 (step @p1550 :rule refl :args (@t1934)) % 14.71/15.04 (step @p1551 :rule refl :args (@t1947)) % 14.71/15.04 (step @p1552 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(assume-push @p1984 @t1974) % 14.71/15.04 (assume-push @p1985 @t2047) % 14.71/15.04 (assume-push @p1986 @t2042) % 14.71/15.04 (assume-push @p1987 @t1963) % 14.71/15.04 (assume-push @p1988 @t1958) % 14.71/15.04 (assume-push @p1989 @t2033) % 14.71/15.04 (step @p1731 :rule and_intro :premises (@p1476 @p1478 @p1466 @p1380 @p1463 @p1376 @p1447 @p1336 @p1334 @p1366 @p1454 @p1477 @p1346 @p1455 @p1351 @p1464 @p1443 @p1364 @p1152 @p1963 @p1360 @p1375 @p1450 @p1448 @p1365 @p1465 @p1459 @p1449 @p1439 @p1321 @p1371)) % 14.71/15.04 (step-pop @p1990 :rule scope :premises (@p1731)) % 14.71/15.04 (step-pop @p1991 :rule scope :premises (@p1990)) % 14.71/15.04 (step-pop @p1992 :rule scope :premises (@p1991)) % 14.71/15.04 (step-pop @p1993 :rule scope :premises (@p1992)) % 14.71/15.04 (step-pop @p1994 :rule scope :premises (@p1993)) % 14.71/15.04 (step-pop @p1995 :rule scope :premises (@p1994)) % 14.71/15.04 (step-pop @p1996 :rule scope :premises (@p1995)) % 14.71/15.04 (step-pop @p1997 :rule scope 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@p1819 @p1824) :args (@t1906 (@list false true) (@list @t1905 @t1908))) % 0.84/15.06 (step @p1833 :rule refl :args (@t2132)) % 0.84/15.06 (step @p1834 :rule bool-double-not-elim :args (@t1885)) % 0.84/15.06 (step @p1835 :rule refl :args (@t2133)) % 0.84/15.06 (step @p1836 :rule refl :args (@t2135)) % 0.84/15.06 (step @p1837 :rule refl :args (@t2137)) % 0.84/15.06 (step @p1838 :rule nary_cong :premises (@p1837 @p1508 @p1294 @p1836 @p1835 @p1834 @p1833) :args ((or @t2137 @t2101 @t1907 @t2135 @t2133 (not @t1886) @t2132))) % 0.84/15.06 (assume-push @p2021 @t1896) % 0.84/15.06 (assume-push @p2022 @t1873) % 0.84/15.06 (assume-push @p2023 @t2134) % 0.84/15.06 (assume-push @p2024 @t1886) % 0.84/15.06 (assume-push @p2025 @t1906) % 0.84/15.06 (assume-push @p2026 @t2136) % 0.84/15.06 (assume-push @p2027 @t2100) % 0.84/15.06 (step @p1542 :rule evaluate :args (@t2104)) % 0.84/15.06 (step @p1846 :rule false_intro :premises (@p1232)) % 0.84/15.06 (step @p1847 :rule refl :args (@t1882)) % 0.84/15.06 (step @p1848 :rule symm :premises (@p2025)) % 0.84/15.06 (step @p1849 :rule trans :premises (@p1152 @p1848 @p104)) % 0.84/15.06 (step @p1659 :rule refl :args (@t1883)) % 0.84/15.06 (step @p1660 :rule refl :args (@t1884)) % 0.84/15.06 (step @p1598 :rule refl :args (tptp.arrow_2142409994le_alt)) % 0.84/15.06 (step @p1850 :rule cong :premises (@p1598 @p1660 @p1659 @p1849) :args (@t2138)) % 0.84/15.06 (step @p1653 :rule refl :args (@t148)) % 0.84/15.06 (step @p1851 :rule cong :premises (@p1653 @p1329 @p1850 @p1847) :args ((tptp.hAPP @t148 tptp.bool @t2138 @t1882))) % 0.84/15.06 (step @p1852 :rule symm :premises (@p1208)) % 0.84/15.06 (step @p1853 :rule symm :premises (@p1225)) % 0.84/15.06 (step @p1854 :rule trans :premises (@p1853 @p1852 @p106)) % 0.84/15.06 (step @p1855 :rule cong :premises (@p1598 @p1660 @p1659 @p1854) :args (@t1894)) % 0.84/15.06 (step @p1856 :rule cong :premises (@p1653 @p1329 @p1855 @p1847) :args (@t1895)) % 0.84/15.06 (step @p1857 :rule trans :premises (@p1856 @p1851)) % 0.84/15.06 (step @p1858 :rule cong :premises (@p1857) :args (@t1896)) % 0.84/15.06 (step @p1859 :rule true_intro :premises (@p1250)) % 0.84/15.06 (step @p1860 :rule symm :premises (@p1859)) % 0.84/15.06 (step @p1861 :rule trans :premises (@p1860 @p1858 @p1846)) % 0.84/15.06 (step @p1862 false :rule eq_resolve :premises (@p1861 @p1542)) % 0.84/15.06 (step-pop @p2028 :rule scope :premises (@p1862)) % 0.84/15.06 (step-pop @p2029 :rule scope :premises (@p2028)) % 0.84/15.06 (step-pop @p2030 :rule scope :premises (@p2029)) % 0.84/15.06 (step-pop @p2031 :rule scope :premises (@p2030)) % 0.84/15.06 (step-pop @p2032 :rule scope :premises (@p2031)) % 0.84/15.06 (step-pop @p2033 :rule scope :premises (@p2032)) % 0.84/15.06 (step-pop @p2034 :rule scope :premises (@p2033)) % 0.84/15.06 (step @p1863 :rule process_scope :premises (@p2034) :args (false)) % 0.84/15.06 (assume-push @p2035 @t2136) % 0.84/15.06 (assume-push @p2036 @t2100) % 0.84/15.06 (assume-push @p2037 @t1906) % 0.84/15.06 (assume-push @p2038 @t2134) % 0.84/15.06 (assume-push @p2039 @t1873) % 0.84/15.06 (assume-push @p2040 @t1886) % 0.84/15.06 (assume-push @p2041 @t1896) % 0.84/15.06 (step @p1878 :rule and_intro :premises (@p1250 @p1225 @p1208 @p1232 @p2037 @p1151 @p1152)) % 0.84/15.06 (step-pop @p2042 :rule scope :premises (@p1878)) % 0.84/15.06 (step-pop @p2043 :rule scope :premises (@p2042)) % 0.84/15.06 (step-pop @p2044 :rule scope :premises (@p2043)) % 0.84/15.06 (step-pop @p2045 :rule scope :premises (@p2044)) % 0.84/15.06 (step-pop @p2046 :rule scope :premises (@p2045)) % 0.84/15.06 (step-pop @p2047 :rule scope :premises (@p2046)) % 0.84/15.06 (step-pop @p2048 :rule scope :premises (@p2047)) % 0.84/15.06 (step @p1879 :rule process_scope :premises (@p2048) :args (@t2139)) % 0.84/15.06 (step @p1887 :rule implies_elim :premises (@p1879)) % 0.84/15.06 (step @p1888 :rule resolution :premises (@p1887 @p1863) :args (true @t2139)) % 0.84/15.06 (step @p1889 :rule not_and :premises (@p1888)) % 0.84/15.06 (step @p1890 :rule eq_resolve :premises (@p1889 @p1838)) % 0.84/15.06 (step @p1891 :rule reordering :premises (@p1890) :args ((or @t2137 @t2101 @t1907 @t1885 @t2135 @t2133 @t2132))) % 0.84/15.06 (step @p1892 false :rule chain_m_resolution :premises (@p1891 @p1832 @p1250 @p1232 @p1225 @p1208 @p1152 @p1151) :args (false (@list false false true false false false false) (@list @t1906 @t1896 @t1885 @t1873 @t2134 @t2100 @t2136))) % 0.84/15.06 ) % 0.84/15.06 % SZS output end Proof % 0.84/15.06 % cvc5 exiting %------------------------------------------------------------------------------