%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT171+7 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:46:28 AM UTC 2026 % Result : Theorem 0.87s 1.67s % Output : Proof 0.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT171+7 : TPTP v9.2.1. Released v5.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:37:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.55/1.01 %----Proving TF0_NAR, FOF, or CNF % 0.87/1.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.87/1.67 % SZS status Theorem % 0.87/1.67 % SZS output start Proof % 0.87/1.67 ( % 0.87/1.67 (declare-sort $$unsorted 0) % 0.87/1.67 (declare-const tptp.bounded_lattice (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.semiring_0 (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.distrib_lattice (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.ab_sem1668676832m_mult (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.linordered_semiring (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.linord893533164strict (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.ordere1490568538miring (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.ordered_semiring (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.ordered_ring (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.ordere453448008miring (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.linord581940658strict (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.ring_1_Ints (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.zero_zero (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.arrow_1568854078le_Lin $$unsorted) % 0.87/1.67 (declare-const tptp.linorder (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.no_zero_divisors (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.mult_zero (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.order (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.ab_semigroup_mult (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.option (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.semiring (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.product_prod_rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.dense_linorder (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.semilattice_inf (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.times_times (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.linordered_ring (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.cancel_semigroup_add (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.finite_finite_1 (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.ab_semigroup_add (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.monoid_add (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.top (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.fdisj $$unsorted) % 0.87/1.67 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.zero_neq_one (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.combi (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.ord_less (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.comm_monoid_mult (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.extensional (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.inj_on (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.big_co1399186613setsum (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.comp (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.arrow_1770777252_mktop $$unsorted) % 0.87/1.67 (declare-const tptp.collect (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.h $$unsorted) % 0.87/1.67 (declare-const tptp.ord_gr1471790799AtMost (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.pi (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.ti (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.nat $$unsorted) % 0.87/1.67 (declare-const tptp.arrow_301600364e_Prof $$unsorted) % 0.87/1.67 (declare-const tptp.bool_size $$unsorted) % 0.87/1.67 (declare-const tptp.linord20386208strict (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.arrow_1998540521e_indi $$unsorted) % 0.87/1.67 (declare-const tptp.lattice (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.measure (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.the_inv_into (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.linord626643107strict (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.linord1278240602ring_1 (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.semiri456707255roduct (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.combb (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.finite_psubset (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.arrow_1622070166_mkbot $$unsorted) % 0.87/1.67 (declare-const tptp.fun (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.sum_Plus (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.ordere236663937imp_le (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.one (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.combk (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.comm_semiring_1 (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.a $$unsorted) % 0.87/1.67 (declare-const tptp.one_one (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.ord_less_eq (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.arrow_1066301521nimity $$unsorted) % 0.87/1.67 (declare-const tptp.bool $$unsorted) % 0.87/1.67 (declare-const tptp.combc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.arrow_1541970350le_IIA $$unsorted) % 0.87/1.67 (declare-const tptp.c $$unsorted) % 0.87/1.67 (declare-const tptp.arrow_2142409994le_alt $$unsorted) % 0.87/1.67 (declare-const tptp.hilbert_inv_into (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.semilattice_inf_inf (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.comm_monoid_add (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.if (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.finite_fold_image (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.finite_folding_image (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.f $$unsorted) % 0.87/1.67 (declare-const tptp.finite908156982e_idem (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.b $$unsorted) % 0.87/1.67 (declare-const tptp.undefined (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.arrow_357225482_above $$unsorted) % 0.87/1.67 (declare-const tptp.ord_greaterThan (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.p $$unsorted) % 0.87/1.67 (declare-const tptp.semilattice_sup_sup (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.semilattice_sup (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.suc $$unsorted) % 0.87/1.67 (declare-const tptp.nat_case (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.size_size (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.mlex_prod (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.linord1117847801e_zero (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.ord (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.combs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.top_top (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.finite_card (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.product_Pair (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.ord_atLeast (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.finite_folding_idem (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.ord_atLeastAtMost (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.ring_char_0 (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.ord_atLeastLessThan (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.product_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.in_rel (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.ord_gr676655987ssThan (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.arrow_1665824030_below $$unsorted) % 0.87/1.67 (declare-const tptp.d $$unsorted) % 0.87/1.67 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.bounded_lattice_top (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.linordered_semidom (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.sum_sum (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.fFalse $$unsorted) % 0.87/1.67 (declare-const tptp.comm_semiring (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.fNot $$unsorted) % 0.87/1.67 (declare-const tptp.fTrue $$unsorted) % 0.87/1.67 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.ordere779506340up_add (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.fconj $$unsorted) % 0.87/1.67 (declare-const tptp.plus_plus (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.fequal (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.monoid_mult (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.member (-> $$unsorted $$unsorted)) % 0.87/1.67 (declare-const tptp.zero (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.lab $$unsorted) % 0.87/1.67 (declare-const tptp.linordered_idom (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.lba $$unsorted) % 0.87/1.67 (declare-const tptp.arrow_708804735ctator $$unsorted) % 0.87/1.67 (declare-const tptp.e $$unsorted) % 0.87/1.67 (declare-const tptp.ring_1 (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.n $$unsorted) % 0.87/1.67 (declare-const tptp.preorder (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.ordere223160158up_add (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.ordere216010020id_add (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.cancel146912293up_add (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.finite_finite (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.product_unit $$unsorted) % 0.87/1.67 (declare-const tptp.linord219039673up_add (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.nat_size $$unsorted) % 0.87/1.67 (declare-const tptp.linordered_field (-> $$unsorted Bool)) % 0.87/1.67 (declare-const tptp.ring_n68954251visors (-> $$unsorted Bool)) % 0.87/1.67 (define @t1 () (tptp.product_prod tptp.arrow_2142409994le_alt tptp.arrow_2142409994le_alt)) % 0.87/1.67 (define @t2 () (tptp.fun @t1 tptp.bool)) % 0.87/1.67 (define @t3 () (tptp.fun tptp.arrow_1998540521e_indi @t2)) % 0.87/1.67 (define @t4 () (tptp.fun @t3 @t2)) % 0.87/1.67 (define @t5 () (tptp.fun @t4 tptp.bool)) % 0.87/1.67 (define @t6 () (tptp.fun @t2 tptp.bool)) % 0.87/1.67 (define @t7 () (tptp.fun @t3 tptp.bool)) % 0.87/1.67 (define @t8 () (tptp.fun tptp.arrow_2142409994le_alt @t2)) % 0.87/1.67 (define @t9 () (tptp.fun tptp.arrow_2142409994le_alt @t8)) % 0.87/1.67 (define @t10 () (tptp.fun @t2 @t9)) % 0.87/1.67 (define @t11 () (tptp.fun tptp.arrow_1998540521e_indi tptp.bool)) % 0.87/1.67 (define @t12 () (tptp.fun @t2 @t8)) % 0.87/1.67 (define @t13 () (@var "X_b" $$unsorted)) % 0.87/1.67 (define @t14 () (@var "X_a" $$unsorted)) % 0.87/1.67 (define @t15 () (tptp.big_co1399186613setsum @t14 @t13)) % 0.87/1.67 (define @t16 () (tptp.fun @t14 tptp.bool)) % 0.87/1.67 (define @t17 () (tptp.fun @t16 @t13)) % 0.87/1.67 (define @t18 () (tptp.fun @t14 @t13)) % 0.87/1.67 (define @t19 () (tptp.comm_monoid_add @t13)) % 0.87/1.67 (define @t20 () (@list @t14 @t13)) % 0.87/1.67 (define @t21 () (@var "X_c" $$unsorted)) % 0.87/1.67 (define @t22 () (tptp.combb @t13 @t21 @t14)) % 0.87/1.67 (define @t23 () (tptp.fun @t14 @t21)) % 0.87/1.67 (define @t24 () (tptp.fun @t18 @t23)) % 0.87/1.67 (define @t25 () (tptp.fun @t13 @t21)) % 0.87/1.67 (define @t26 () (tptp.fun @t25 @t24)) % 0.87/1.67 (define @t27 () (@list @t13 @t21 @t14)) % 0.87/1.67 (define @t28 () (tptp.combc @t14 @t13 @t21)) % 0.87/1.67 (define @t29 () (tptp.fun @t13 @t23)) % 0.87/1.67 (define @t30 () (tptp.fun @t14 @t25)) % 0.87/1.67 (define @t31 () (@list @t14 @t13 @t21)) % 0.87/1.67 (define @t32 () (tptp.combi @t14)) % 0.87/1.67 (define @t33 () (tptp.fun @t14 @t14)) % 0.87/1.67 (define @t34 () (@list @t14)) % 0.87/1.67 (define @t35 () (tptp.combk @t14 @t13)) % 0.87/1.67 (define @t36 () (tptp.fun @t13 @t14)) % 0.87/1.67 (define @t37 () (tptp.fun @t14 @t36)) % 0.87/1.67 (define @t38 () (tptp.combs @t14 @t13 @t21)) % 0.87/1.67 (define @t39 () (tptp.finite_card @t14)) % 0.87/1.67 (define @t40 () (tptp.fun @t16 tptp.nat)) % 0.87/1.67 (define @t41 () (tptp.finite_finite_1 @t13)) % 0.87/1.67 (define @t42 () (tptp.fun @t13 tptp.bool)) % 0.87/1.67 (define @t43 () (tptp.fun @t42 tptp.bool)) % 0.87/1.67 (define @t44 () (@list @t13)) % 0.87/1.67 (define @t45 () (tptp.finite_fold_image @t14 @t13)) % 0.87/1.67 (define @t46 () (tptp.fun @t42 @t14)) % 0.87/1.67 (define @t47 () (tptp.fun @t14 @t46)) % 0.87/1.67 (define @t48 () (tptp.fun @t36 @t47)) % 0.87/1.67 (define @t49 () (tptp.fun @t14 @t33)) % 0.87/1.67 (define @t50 () (tptp.finite_folding_idem @t14 @t13)) % 0.87/1.67 (define @t51 () (tptp.fun @t13 @t13)) % 0.87/1.67 (define @t52 () (tptp.fun @t16 @t51)) % 0.87/1.67 (define @t53 () (tptp.fun @t52 tptp.bool)) % 0.87/1.67 (define @t54 () (tptp.fun @t14 @t51)) % 0.87/1.67 (define @t55 () (tptp.finite_folding_image @t14 @t13)) % 0.87/1.67 (define @t56 () (tptp.fun @t36 @t46)) % 0.87/1.67 (define @t57 () (tptp.fun @t56 tptp.bool)) % 0.87/1.67 (define @t58 () (tptp.fun @t14 @t57)) % 0.87/1.67 (define @t59 () (tptp.finite908156982e_idem @t14 @t13)) % 0.87/1.67 (define @t60 () (tptp.fun @t46 tptp.bool)) % 0.87/1.67 (define @t61 () (tptp.fun @t36 @t60)) % 0.87/1.67 (define @t62 () (tptp.fun @t14 @t61)) % 0.87/1.67 (define @t63 () (tptp.in_rel @t14 @t13)) % 0.87/1.67 (define @t64 () (tptp.fun @t14 @t42)) % 0.87/1.67 (define @t65 () (tptp.product_prod @t14 @t13)) % 0.87/1.67 (define @t66 () (tptp.fun @t65 tptp.bool)) % 0.87/1.67 (define @t67 () (tptp.fun @t66 @t64)) % 0.87/1.67 (define @t68 () (tptp.comp @t14 @t21 @t13)) % 0.87/1.67 (define @t69 () (tptp.fun @t36 @t25)) % 0.87/1.67 (define @t70 () (tptp.fun @t23 @t69)) % 0.87/1.67 (define @t71 () (@list @t14 @t21 @t13)) % 0.87/1.67 (define @t72 () (tptp.inj_on @t14 @t13)) % 0.87/1.67 (define @t73 () (tptp.fun @t16 tptp.bool)) % 0.87/1.67 (define @t74 () (tptp.the_inv_into @t14 @t13)) % 0.87/1.67 (define @t75 () (tptp.fun @t18 @t36)) % 0.87/1.67 (define @t76 () (tptp.fun @t16 @t75)) % 0.87/1.67 (define @t77 () (tptp.pi @t14 @t13)) % 0.87/1.67 (define @t78 () (tptp.fun @t18 tptp.bool)) % 0.87/1.67 (define @t79 () (tptp.fun @t64 @t78)) % 0.87/1.67 (define @t80 () (tptp.compose @t14 @t21 @t13)) % 0.87/1.67 (define @t81 () (tptp.fun @t23 @t18)) % 0.87/1.67 (define @t82 () (tptp.fun @t21 @t13)) % 0.87/1.67 (define @t83 () (tptp.fun @t82 @t81)) % 0.87/1.67 (define @t84 () (tptp.extensional @t14 @t13)) % 0.87/1.67 (define @t85 () (tptp.restrict @t14 @t13)) % 0.87/1.67 (define @t86 () (tptp.fun @t16 @t18)) % 0.87/1.67 (define @t87 () (tptp.one_one @t14)) % 0.87/1.67 (define @t88 () (tptp.one @t14)) % 0.87/1.67 (define @t89 () (tptp.plus_plus @t14)) % 0.87/1.67 (define @t90 () (= (tptp.ti @t49 @t89) @t89)) % 0.87/1.67 (define @t91 () (tptp.monoid_add @t14)) % 0.87/1.67 (define @t92 () (tptp.ab_semigroup_add @t14)) % 0.87/1.67 (define @t93 () (tptp.cancel_semigroup_add @t14)) % 0.87/1.67 (define @t94 () (tptp.times_times @t14)) % 0.87/1.67 (define @t95 () (= (tptp.ti @t49 @t94) @t94)) % 0.87/1.67 (define @t96 () (tptp.semiring @t14)) % 0.87/1.67 (define @t97 () (tptp.monoid_mult @t14)) % 0.87/1.67 (define @t98 () (tptp.ab_semigroup_mult @t14)) % 0.87/1.67 (define @t99 () (tptp.mult_zero @t14)) % 0.87/1.67 (define @t100 () (tptp.no_zero_divisors @t14)) % 0.87/1.67 (define @t101 () (tptp.zero_zero @t14)) % 0.87/1.67 (define @t102 () (tptp.zero @t14)) % 0.87/1.67 (define @t103 () (tptp.undefined @t14)) % 0.87/1.67 (define @t104 () (tptp.hilbert_inv_into @t14 @t13)) % 0.87/1.67 (define @t105 () (tptp.if @t14)) % 0.87/1.67 (define @t106 () (tptp.fun tptp.bool @t49)) % 0.87/1.67 (define @t107 () (tptp.ring_1_Ints @t14)) % 0.87/1.67 (define @t108 () (tptp.ring_1 @t14)) % 0.87/1.67 (define @t109 () (tptp.semilattice_inf_inf @t14)) % 0.87/1.67 (define @t110 () (tptp.semilattice_inf @t14)) % 0.87/1.67 (define @t111 () (tptp.semilattice_sup_sup @t14)) % 0.87/1.67 (define @t112 () (tptp.semilattice_sup @t14)) % 0.87/1.67 (define @t113 () (tptp.fun tptp.nat tptp.nat)) % 0.87/1.67 (define @t114 () (tptp.nat_case @t14)) % 0.87/1.67 (define @t115 () (tptp.fun tptp.nat @t14)) % 0.87/1.67 (define @t116 () (tptp.fun @t115 @t115)) % 0.87/1.67 (define @t117 () (tptp.size_size tptp.nat)) % 0.87/1.67 (define @t118 () (tptp.ord_less @t14)) % 0.87/1.67 (define @t119 () (tptp.fun @t14 @t16)) % 0.87/1.67 (define @t120 () (tptp.ord @t14)) % 0.87/1.67 (define @t121 () (tptp.ord_less_eq @t13)) % 0.87/1.67 (define @t122 () (tptp.fun @t13 @t42)) % 0.87/1.67 (define @t123 () (tptp.ord @t13)) % 0.87/1.67 (define @t124 () (tptp.top_top @t14)) % 0.87/1.67 (define @t125 () (tptp.top @t14)) % 0.87/1.67 (define @t126 () (tptp.product_Pair @t14 @t13)) % 0.87/1.67 (define @t127 () (tptp.fun @t13 @t65)) % 0.87/1.67 (define @t128 () (tptp.fun @t14 @t127)) % 0.87/1.67 (define @t129 () (tptp.product_prod_rec @t13 @t21 @t14)) % 0.87/1.67 (define @t130 () (tptp.product_prod @t13 @t21)) % 0.87/1.67 (define @t131 () (tptp.fun @t130 @t14)) % 0.87/1.67 (define @t132 () (tptp.fun @t21 @t14)) % 0.87/1.67 (define @t133 () (tptp.fun @t13 @t132)) % 0.87/1.67 (define @t134 () (tptp.ord_atLeast @t14)) % 0.87/1.67 (define @t135 () (tptp.ord_atLeastAtMost @t14)) % 0.87/1.67 (define @t136 () (tptp.fun @t14 @t119)) % 0.87/1.67 (define @t137 () (tptp.order @t14)) % 0.87/1.67 (define @t138 () (tptp.ord_atLeastLessThan @t14)) % 0.87/1.67 (define @t139 () (tptp.linorder @t14)) % 0.87/1.67 (define @t140 () (tptp.ord_greaterThan @t14)) % 0.87/1.67 (define @t141 () (tptp.ord_gr1471790799AtMost @t14)) % 0.87/1.67 (define @t142 () (tptp.ord_gr676655987ssThan @t14)) % 0.87/1.67 (define @t143 () (tptp.collect @t14)) % 0.87/1.67 (define @t144 () (tptp.fun @t16 @t16)) % 0.87/1.67 (define @t145 () (tptp.image @t13 @t14)) % 0.87/1.67 (define @t146 () (tptp.fun @t42 @t16)) % 0.87/1.67 (define @t147 () (@list @t13 @t14)) % 0.87/1.67 (define @t148 () (tptp.sum_Plus @t14 @t13)) % 0.87/1.67 (define @t149 () (tptp.sum_sum @t14 @t13)) % 0.87/1.67 (define @t150 () (tptp.fun @t149 tptp.bool)) % 0.87/1.67 (define @t151 () (tptp.fun @t42 @t150)) % 0.87/1.67 (define @t152 () (tptp.finite_psubset @t14)) % 0.87/1.67 (define @t153 () (tptp.product_prod @t16 @t16)) % 0.87/1.67 (define @t154 () (tptp.fun @t153 tptp.bool)) % 0.87/1.67 (define @t155 () (tptp.measure @t14)) % 0.87/1.67 (define @t156 () (tptp.product_prod @t14 @t14)) % 0.87/1.67 (define @t157 () (tptp.fun @t156 tptp.bool)) % 0.87/1.67 (define @t158 () (tptp.fun @t14 tptp.nat)) % 0.87/1.67 (define @t159 () (tptp.mlex_prod @t14)) % 0.87/1.67 (define @t160 () (tptp.fun @t157 @t157)) % 0.87/1.67 (define @t161 () (tptp.fun tptp.bool tptp.bool)) % 0.87/1.67 (define @t162 () (tptp.fun tptp.bool @t161)) % 0.87/1.67 (define @t163 () (tptp.fequal @t14)) % 0.87/1.67 (define @t164 () (@var "B_2_1" $$unsorted)) % 0.87/1.67 (define @t165 () (@var "B_1_1" $$unsorted)) % 0.87/1.67 (define @t166 () (tptp.hAPP @t14 @t21 @t165 @t164)) % 0.87/1.67 (define @t167 () (@list @t14 @t21 @t165 @t164)) % 0.87/1.67 (define @t168 () (tptp.member @t14)) % 0.87/1.67 (define @t169 () (tptp.fun @t14 @t73)) % 0.87/1.67 (define @t170 () (tptp.fun tptp.arrow_1998540521e_indi tptp.nat)) % 0.87/1.67 (define @t171 () (tptp.member @t3)) % 0.87/1.67 (define @t172 () (tptp.fun @t7 tptp.bool)) % 0.87/1.67 (define @t173 () (@var "L_3" $$unsorted)) % 0.87/1.67 (define @t174 () (@var "Y_1" $$unsorted)) % 0.87/1.67 (define @t175 () (@var "X_2" $$unsorted)) % 0.87/1.67 (define @t176 () (tptp.product_Pair tptp.arrow_2142409994le_alt tptp.arrow_2142409994le_alt)) % 0.87/1.67 (define @t177 () (tptp.fun tptp.arrow_2142409994le_alt @t1)) % 0.87/1.67 (define @t178 () (tptp.hAPP tptp.arrow_2142409994le_alt @t177 @t176 @t175)) % 0.87/1.67 (define @t179 () (tptp.member @t1)) % 0.87/1.67 (define @t180 () (tptp.hAPP @t1 @t6 @t179 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t178 @t174))) % 0.87/1.67 (define @t181 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t180 @t173))) % 0.87/1.67 (define @t182 () (@var "Z_1" $$unsorted)) % 0.87/1.67 (define @t183 () (tptp.ti tptp.arrow_2142409994le_alt @t182)) % 0.87/1.67 (define @t184 () (tptp.ti tptp.arrow_2142409994le_alt @t175)) % 0.87/1.67 (define @t185 () (= @t184 @t183)) % 0.87/1.67 (define @t186 () (not @t185)) % 0.87/1.67 (define @t187 () (tptp.ti tptp.arrow_2142409994le_alt @t174)) % 0.87/1.67 (define @t188 () (not (= @t184 @t187))) % 0.87/1.67 (define @t189 () (= @t187 @t183)) % 0.87/1.67 (define @t190 () (not @t189)) % 0.87/1.67 (define @t191 () (tptp.hAPP @t2 @t8 tptp.arrow_1622070166_mkbot @t173)) % 0.87/1.67 (define @t192 () (@list @t175 @t174 @t173 @t182)) % 0.87/1.67 (define @t193 () (tptp.hAPP @t2 @t8 tptp.arrow_1770777252_mktop @t173)) % 0.87/1.67 (define @t194 () (@var "P_2" $$unsorted)) % 0.87/1.67 (define @t195 () (tptp.hAPP @t3 @t2 tptp.f @t194)) % 0.87/1.67 (define @t196 () (@var "B_4" $$unsorted)) % 0.87/1.67 (define @t197 () (@var "A_5" $$unsorted)) % 0.87/1.67 (define @t198 () (tptp.hAPP @t1 @t6 @t179 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 (tptp.hAPP tptp.arrow_2142409994le_alt @t177 @t176 @t197) @t196))) % 0.87/1.67 (define @t199 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t198 @t195))) % 0.87/1.67 (define @t200 () (@var "Pa" $$unsorted)) % 0.87/1.67 (define @t201 () (@var "Ba" $$unsorted)) % 0.87/1.67 (define @t202 () (@var "Aa" $$unsorted)) % 0.87/1.67 (define @t203 () (tptp.hAPP tptp.arrow_2142409994le_alt @t177 @t176 @t202)) % 0.87/1.67 (define @t204 () (tptp.hAPP @t1 @t6 @t179 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t203 @t201))) % 0.87/1.67 (define @t205 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t204 (tptp.hAPP @t3 @t2 tptp.f @t200)))) % 0.87/1.67 (define @t206 () (@var "I_1" $$unsorted)) % 0.87/1.67 (define @t207 () (tptp.hAPP tptp.arrow_1998540521e_indi @t2 @t194 @t206)) % 0.87/1.67 (define @t208 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t204 (tptp.hAPP tptp.arrow_1998540521e_indi @t2 @t200 @t206)))) % 0.87/1.67 (define @t209 () (@list @t206)) % 0.87/1.67 (define @t210 () (forall @t209 (= @t208 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t198 @t207))))) % 0.87/1.67 (define @t211 () (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t172 @t171 @t194) tptp.arrow_301600364e_Prof))) % 0.87/1.67 (define @t212 () (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t172 @t171 @t200) tptp.arrow_301600364e_Prof))) % 0.87/1.67 (define @t213 () (=> @t212 (=> @t211 (=> @t210 (= @t205 @t199))))) % 0.87/1.67 (define @t214 () (tptp.ti tptp.arrow_2142409994le_alt @t197)) % 0.87/1.67 (define @t215 () (tptp.ti tptp.arrow_2142409994le_alt @t201)) % 0.87/1.67 (define @t216 () (not (= @t215 @t214))) % 0.87/1.67 (define @t217 () (tptp.ti tptp.arrow_2142409994le_alt @t196)) % 0.87/1.67 (define @t218 () (tptp.ti tptp.arrow_2142409994le_alt @t202)) % 0.87/1.67 (define @t219 () (not (= @t218 @t217))) % 0.87/1.67 (define @t220 () (not (= @t214 @t217))) % 0.87/1.67 (define @t221 () (not (= @t218 @t215))) % 0.87/1.67 (define @t222 () (@list @t194 @t200 @t197 @t196 @t202 @t201)) % 0.87/1.67 (define @t223 () (@var "Ca" $$unsorted)) % 0.87/1.67 (define @t224 () (tptp.hAPP tptp.arrow_2142409994le_alt @t177 @t176 @t201)) % 0.87/1.67 (define @t225 () (tptp.hAPP @t1 @t6 @t179 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t224 @t223))) % 0.87/1.67 (define @t226 () (tptp.ti tptp.arrow_2142409994le_alt @t223)) % 0.87/1.67 (define @t227 () (tptp.hAPP @t1 @t6 @t179 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t224 @t202))) % 0.87/1.67 (define @t228 () (tptp.hAPP tptp.arrow_1998540521e_indi @t2 tptp.p @t206)) % 0.87/1.67 (define @t229 () (tptp.hAPP tptp.arrow_2142409994le_alt @t2 (tptp.hAPP @t2 @t8 tptp.arrow_1622070166_mkbot @t228) tptp.e)) % 0.87/1.67 (define @t230 () (tptp.hAPP tptp.arrow_2142409994le_alt @t177 @t176 tptp.c)) % 0.87/1.67 (define @t231 () (tptp.hAPP @t1 @t6 @t179 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t230 tptp.d))) % 0.87/1.67 (define @t232 () (tptp.hAPP tptp.arrow_1998540521e_indi tptp.nat tptp.h @t206)) % 0.87/1.67 (define @t233 () (= @t232 tptp.n)) % 0.87/1.67 (define @t234 () (not @t233)) % 0.87/1.67 (define @t235 () (tptp.hAPP tptp.arrow_2142409994le_alt @t2 (tptp.hAPP tptp.arrow_2142409994le_alt @t8 (tptp.hAPP @t2 @t9 tptp.arrow_357225482_above @t228) tptp.c) tptp.e)) % 0.87/1.67 (define @t236 () (tptp.ord_less tptp.nat)) % 0.87/1.67 (define @t237 () (tptp.fun tptp.nat tptp.bool)) % 0.87/1.67 (define @t238 () (tptp.hAPP tptp.nat @t237 @t236 @t232)) % 0.87/1.67 (define @t239 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t238 tptp.n))) % 0.87/1.67 (define @t240 () (not @t239)) % 0.87/1.67 (define @t241 () (tptp.hAPP tptp.arrow_2142409994le_alt @t2 (tptp.hAPP @t2 @t8 tptp.arrow_1770777252_mktop @t228) tptp.e)) % 0.87/1.67 (define @t242 () (tptp.top_top @t11)) % 0.87/1.67 (define @t243 () (tptp.fun tptp.nat tptp.arrow_1998540521e_indi)) % 0.87/1.67 (define @t244 () (tptp.combb @t2 @t8 tptp.arrow_1998540521e_indi)) % 0.87/1.67 (define @t245 () (tptp.fun tptp.arrow_1998540521e_indi @t8)) % 0.87/1.67 (define @t246 () (tptp.fun @t3 @t245)) % 0.87/1.67 (define @t247 () (tptp.combc tptp.arrow_1998540521e_indi tptp.arrow_2142409994le_alt @t2)) % 0.87/1.67 (define @t248 () (tptp.fun tptp.arrow_2142409994le_alt @t3)) % 0.87/1.67 (define @t249 () (tptp.fun tptp.arrow_1998540521e_indi @t9)) % 0.87/1.67 (define @t250 () (tptp.combb tptp.nat @t237 tptp.arrow_1998540521e_indi)) % 0.87/1.67 (define @t251 () (tptp.fun tptp.arrow_1998540521e_indi @t237)) % 0.87/1.67 (define @t252 () (tptp.fun @t170 @t251)) % 0.87/1.67 (define @t253 () (tptp.fun tptp.nat @t237)) % 0.87/1.67 (define @t254 () (tptp.combc tptp.arrow_1998540521e_indi tptp.nat tptp.bool)) % 0.87/1.67 (define @t255 () (tptp.fun tptp.nat @t11)) % 0.87/1.67 (define @t256 () (tptp.fun @t2 @t2)) % 0.87/1.67 (define @t257 () (tptp.fun @t2 @t256)) % 0.87/1.67 (define @t258 () (tptp.fun tptp.arrow_1998540521e_indi @t257)) % 0.87/1.67 (define @t259 () (tptp.hAPP (tptp.fun tptp.bool @t257) (tptp.fun @t11 @t258) (tptp.combb tptp.bool @t257 tptp.arrow_1998540521e_indi) (tptp.if @t2))) % 0.87/1.67 (define @t260 () (tptp.combs tptp.arrow_1998540521e_indi @t2 @t256)) % 0.87/1.67 (define @t261 () (tptp.fun tptp.arrow_1998540521e_indi @t256)) % 0.87/1.67 (define @t262 () (tptp.fun @t3 @t261)) % 0.87/1.67 (define @t263 () (tptp.combs tptp.arrow_1998540521e_indi @t2 @t2)) % 0.87/1.67 (define @t264 () (tptp.fun @t3 @t3)) % 0.87/1.67 (define @t265 () (tptp.hAPP @t251 @t255 @t254 (tptp.hAPP @t170 @t251 (tptp.hAPP @t253 @t252 @t250 @t236) tptp.h))) % 0.87/1.67 (define @t266 () (tptp.hAPP @t11 @t258 @t259 (tptp.hAPP tptp.nat @t11 @t265 tptp.n))) % 0.87/1.67 (define @t267 () (tptp.hAPP @t3 @t3 (tptp.hAPP @t261 @t264 @t263 (tptp.hAPP @t3 @t261 (tptp.hAPP @t258 @t262 @t260 @t266) (tptp.hAPP tptp.arrow_2142409994le_alt @t3 (tptp.hAPP @t245 @t248 @t247 (tptp.hAPP @t3 @t245 (tptp.hAPP @t12 @t246 @t244 tptp.arrow_1770777252_mktop) tptp.p)) tptp.e))) (tptp.hAPP @t3 @t3 (tptp.hAPP @t261 @t264 @t263 (tptp.hAPP @t3 @t261 (tptp.hAPP @t258 @t262 @t260 (tptp.hAPP @t11 @t258 @t259 (tptp.hAPP tptp.nat @t11 (tptp.hAPP @t251 @t255 @t254 (tptp.hAPP @t170 @t251 (tptp.hAPP @t253 @t252 @t250 (tptp.fequal tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_2142409994le_alt @t3 (tptp.hAPP @t245 @t248 @t247 (tptp.hAPP tptp.arrow_2142409994le_alt @t245 (tptp.hAPP @t249 (tptp.fun tptp.arrow_2142409994le_alt @t245) (tptp.combc tptp.arrow_1998540521e_indi tptp.arrow_2142409994le_alt @t8) (tptp.hAPP @t3 @t249 (tptp.hAPP @t10 (tptp.fun @t3 @t249) (tptp.combb @t2 @t9 tptp.arrow_1998540521e_indi) tptp.arrow_357225482_above) tptp.p)) tptp.c)) tptp.e))) (tptp.hAPP tptp.arrow_2142409994le_alt @t3 (tptp.hAPP @t245 @t248 @t247 (tptp.hAPP @t3 @t245 (tptp.hAPP @t12 @t246 @t244 tptp.arrow_1622070166_mkbot) tptp.p)) tptp.e)))) % 0.87/1.67 (define @t268 () (tptp.hAPP @t3 @t2 tptp.f @t267)) % 0.87/1.67 (define @t269 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t231 @t268))) % 0.87/1.67 (define @t270 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t231 (tptp.hAPP @t3 @t2 tptp.f tptp.p)))) % 0.87/1.67 (define @t271 () (@var "B_3" $$unsorted)) % 0.87/1.67 (define @t272 () (@var "A_4" $$unsorted)) % 0.87/1.67 (define @t273 () (@list @t272 @t271)) % 0.87/1.67 (define @t274 () (@var "X1" $$unsorted)) % 0.87/1.67 (define @t275 () (tptp.hAPP @t1 @t6 @t179 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t230 tptp.e))) % 0.87/1.67 (define @t276 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t275 @t268))) % 0.87/1.67 (define @t277 () (tptp.hAPP @t1 @t6 @t179 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 (tptp.hAPP tptp.arrow_2142409994le_alt @t177 @t176 tptp.e) tptp.d))) % 0.87/1.67 (define @t278 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t277 @t268))) % 0.87/1.67 (define @t279 () (tptp.hAPP @t11 tptp.nat (tptp.finite_card tptp.arrow_1998540521e_indi) @t242)) % 0.87/1.67 (define @t280 () (tptp.inj_on tptp.arrow_1998540521e_indi tptp.nat)) % 0.87/1.67 (define @t281 () (tptp.fun @t11 tptp.bool)) % 0.87/1.67 (define @t282 () (@var "B_5" $$unsorted)) % 0.87/1.67 (define @t283 () (@var "B_1" $$unsorted)) % 0.87/1.67 (define @t284 () (@var "A_6" $$unsorted)) % 0.87/1.67 (define @t285 () (@var "A_2" $$unsorted)) % 0.87/1.67 (define @t286 () (tptp.ti @t14 @t285)) % 0.87/1.67 (define @t287 () (tptp.ti @t13 @t201)) % 0.87/1.67 (define @t288 () (tptp.ti @t14 @t202)) % 0.87/1.67 (define @t289 () (@var "Xa" $$unsorted)) % 0.87/1.67 (define @t290 () (@var "Fa" $$unsorted)) % 0.87/1.67 (define @t291 () (tptp.hAPP @t1 @t6 @t179 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 (tptp.hAPP tptp.arrow_2142409994le_alt @t177 @t176 @t272) @t271))) % 0.87/1.67 (define @t292 () (@var "X_1" $$unsorted)) % 0.87/1.67 (define @t293 () (tptp.hAPP @t3 @t2 @t290 @t292)) % 0.87/1.67 (define @t294 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t291 @t293))) % 0.87/1.67 (define @t295 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t291 (tptp.hAPP tptp.arrow_1998540521e_indi @t2 @t292 @t206)))) % 0.87/1.67 (define @t296 () (@list @t289)) % 0.87/1.67 (define @t297 () (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t172 @t171 @t292) tptp.arrow_301600364e_Prof))) % 0.87/1.67 (define @t298 () (@list @t292)) % 0.87/1.67 (define @t299 () (@list @t290)) % 0.87/1.67 (define @t300 () (tptp.top_top @t16)) % 0.87/1.67 (define @t301 () (@list @t14 @t175)) % 0.87/1.67 (define @t302 () (tptp.hAPP @t14 @t73 @t168 @t175)) % 0.87/1.67 (define @t303 () (@var "F1" $$unsorted)) % 0.87/1.67 (define @t304 () (@list @t175)) % 0.87/1.67 (define @t305 () (@list @t285)) % 0.87/1.67 (define @t306 () (tptp.hAPP @t14 @t16 @t118 @t202)) % 0.87/1.67 (define @t307 () (= @t288 @t124)) % 0.87/1.67 (define @t308 () (@list @t202)) % 0.87/1.67 (define @t309 () (tptp.fun @t3 @t6)) % 0.87/1.67 (define @t310 () (tptp.hAPP @t309 @t5 (tptp.hAPP @t7 (tptp.fun @t309 @t5) (tptp.pi @t3 @t2) tptp.arrow_301600364e_Prof) (tptp.hAPP @t6 @t309 (tptp.combk @t6 @t3) tptp.arrow_1568854078le_Lin))) % 0.87/1.67 (define @t311 () (tptp.member @t4)) % 0.87/1.67 (define @t312 () (tptp.fun @t5 tptp.bool)) % 0.87/1.67 (define @t313 () (tptp.combc tptp.arrow_1998540521e_indi @t2 @t256)) % 0.87/1.67 (define @t314 () (tptp.fun @t2 @t261)) % 0.87/1.67 (define @t315 () (tptp.combc tptp.arrow_1998540521e_indi @t2 @t2)) % 0.87/1.67 (define @t316 () (tptp.fun @t2 @t3)) % 0.87/1.67 (define @t317 () (tptp.hAPP @t1 @t6 @t179 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 (tptp.hAPP tptp.arrow_2142409994le_alt @t177 @t176 tptp.b) tptp.a))) % 0.87/1.67 (define @t318 () (@var "I" $$unsorted)) % 0.87/1.67 (define @t319 () (tptp.hAPP tptp.arrow_1998540521e_indi @t2 @t292 @t318)) % 0.87/1.67 (define @t320 () (tptp.hBOOL (tptp.hAPP tptp.arrow_1998540521e_indi tptp.bool (tptp.hAPP @t4 @t11 tptp.arrow_708804735ctator @t290) @t318))) % 0.87/1.67 (define @t321 () (tptp.member @t2)) % 0.87/1.67 (define @t322 () (tptp.fun @t6 tptp.bool)) % 0.87/1.67 (define @t323 () (tptp.hAPP @t1 @t6 @t179 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 (tptp.hAPP tptp.arrow_2142409994le_alt @t177 @t176 tptp.a) tptp.b))) % 0.87/1.67 (define @t324 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t323 tptp.lab))) % 0.87/1.67 (define @t325 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t317 tptp.lba))) % 0.87/1.67 (define @t326 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t323 tptp.lba))) % 0.87/1.67 (define @t327 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t317 tptp.lab))) % 0.87/1.67 (define @t328 () (@var "Na" $$unsorted)) % 0.87/1.67 (define @t329 () (@list @t328)) % 0.87/1.67 (define @t330 () (@var "Lab" $$unsorted)) % 0.87/1.67 (define @t331 () (@var "Lba" $$unsorted)) % 0.87/1.67 (define @t332 () (@var "M_1" $$unsorted)) % 0.87/1.67 (define @t333 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t317 (tptp.hAPP @t3 @t2 tptp.f (tptp.hAPP @t2 @t3 (tptp.hAPP @t261 @t316 @t315 (tptp.hAPP @t2 @t261 (tptp.hAPP @t258 @t314 @t313 (tptp.hAPP @t11 @t258 @t259 (tptp.hAPP tptp.nat @t11 @t265 @t332))) tptp.lab)) tptp.lba))))) % 0.87/1.67 (define @t334 () (tptp.ord_less_eq tptp.nat)) % 0.87/1.67 (define @t335 () (tptp.hAPP tptp.nat @t237 @t334 @t332)) % 0.87/1.67 (define @t336 () (@list @t332)) % 0.87/1.67 (define @t337 () (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t322 @t321 @t173) tptp.arrow_1568854078le_Lin))) % 0.87/1.67 (define @t338 () (@list @t175 @t173)) % 0.87/1.67 (define @t339 () (tptp.hAPP @t2 @t9 tptp.arrow_357225482_above @t173)) % 0.87/1.67 (define @t340 () (@list @t173 @t175 @t174)) % 0.87/1.67 (define @t341 () (@var "X" $$unsorted)) % 0.87/1.67 (define @t342 () (@var "Y" $$unsorted)) % 0.87/1.67 (define @t343 () (tptp.hAPP @t14 @t16 @t118 @t342)) % 0.87/1.67 (define @t344 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t343 @t341))) % 0.87/1.67 (define @t345 () (tptp.ti @t14 @t342)) % 0.87/1.67 (define @t346 () (tptp.ti @t14 @t341)) % 0.87/1.67 (define @t347 () (= @t346 @t345)) % 0.87/1.67 (define @t348 () (not @t347)) % 0.87/1.67 (define @t349 () (tptp.hAPP @t14 @t16 @t118 @t341)) % 0.87/1.67 (define @t350 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t349 @t342))) % 0.87/1.67 (define @t351 () (not @t350)) % 0.87/1.67 (define @t352 () (@list @t341 @t342)) % 0.87/1.67 (define @t353 () (tptp.preorder @t14)) % 0.87/1.67 (define @t354 () (@var "Z" $$unsorted)) % 0.87/1.67 (define @t355 () (tptp.hAPP @t14 @t16 @t118 @t354)) % 0.87/1.67 (define @t356 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t355 @t341))) % 0.87/1.67 (define @t357 () (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t355 @t342)) @t356)) % 0.87/1.67 (define @t358 () (@list @t354 @t342 @t341)) % 0.87/1.67 (define @t359 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t349 @t354))) % 0.87/1.67 (define @t360 () (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t343 @t354)) @t359)) % 0.87/1.67 (define @t361 () (@list @t354 @t341 @t342)) % 0.87/1.67 (define @t362 () (@var "C_1" $$unsorted)) % 0.87/1.67 (define @t363 () (tptp.hAPP @t14 @t16 @t118 @t362)) % 0.87/1.67 (define @t364 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t363 @t285))) % 0.87/1.67 (define @t365 () (tptp.ti @t14 @t362)) % 0.87/1.67 (define @t366 () (tptp.ti @t14 @t283)) % 0.87/1.67 (define @t367 () (= @t366 @t365)) % 0.87/1.67 (define @t368 () (tptp.hAPP @t14 @t16 @t118 @t283)) % 0.87/1.67 (define @t369 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t368 @t285))) % 0.87/1.67 (define @t370 () (@list @t362 @t283 @t285)) % 0.87/1.67 (define @t371 () (tptp.hAPP @t14 @t16 @t118 @t285)) % 0.87/1.67 (define @t372 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t371 @t362))) % 0.87/1.67 (define @t373 () (= @t283 @t362)) % 0.87/1.67 (define @t374 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t371 @t283))) % 0.87/1.67 (define @t375 () (@list @t362 @t285 @t283)) % 0.87/1.67 (define @t376 () (= @t286 @t366)) % 0.87/1.67 (define @t377 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t368 @t362))) % 0.87/1.67 (define @t378 () (= @t285 @t283)) % 0.87/1.67 (define @t379 () (@list @t283 @t285)) % 0.87/1.67 (define @t380 () (@list @t285 @t283)) % 0.87/1.67 (define @t381 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t174) @t175))) % 0.87/1.67 (define @t382 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t175) @t174))) % 0.87/1.67 (define @t383 () (forall @t352 (=> @t348 (=> @t351 @t344)))) % 0.87/1.67 (define @t384 () (tptp.ti @t14 @t174)) % 0.87/1.67 (define @t385 () (tptp.ti @t14 @t175)) % 0.87/1.67 (define @t386 () (= @t385 @t384)) % 0.87/1.67 (define @t387 () (not @t382)) % 0.87/1.67 (define @t388 () (= @t387 @t386)) % 0.87/1.67 (define @t389 () (@list @t174 @t175)) % 0.87/1.67 (define @t390 () (@list @t175 @t174)) % 0.87/1.67 (define @t391 () (not @t386)) % 0.87/1.67 (define @t392 () (@list @t341)) % 0.87/1.67 (define @t393 () (@var "G" $$unsorted)) % 0.87/1.67 (define @t394 () (tptp.ti @t18 @t393)) % 0.87/1.67 (define @t395 () (@var "F" $$unsorted)) % 0.87/1.67 (define @t396 () (tptp.ti @t18 @t395)) % 0.87/1.67 (define @t397 () (= @t396 @t394)) % 0.87/1.67 (define @t398 () (tptp.hAPP @t14 @t13 @t393 @t292)) % 0.87/1.67 (define @t399 () (tptp.hAPP @t14 @t13 @t395 @t292)) % 0.87/1.67 (define @t400 () (= @t399 @t398)) % 0.87/1.67 (define @t401 () (@var "A_1" $$unsorted)) % 0.87/1.67 (define @t402 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t401 @t175))) % 0.87/1.67 (define @t403 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t302 @t401))) % 0.87/1.67 (define @t404 () (tptp.hAPP @t16 @t16 @t143 @t200)) % 0.87/1.67 (define @t405 () (@list @t14 @t200)) % 0.87/1.67 (define @t406 () (= @t187 @t215)) % 0.87/1.67 (define @t407 () (= @t184 @t218)) % 0.87/1.67 (define @t408 () (= @t184 @t215)) % 0.87/1.67 (define @t409 () (@list @t175 @t174 @t173 @t202 @t201)) % 0.87/1.67 (define @t410 () (@var "S" $$unsorted)) % 0.87/1.67 (define @t411 () (@var "R_2" $$unsorted)) % 0.87/1.67 (define @t412 () (tptp.member @t65)) % 0.87/1.67 (define @t413 () (tptp.fun @t66 tptp.bool)) % 0.87/1.67 (define @t414 () (tptp.hAPP @t65 @t413 @t412 (tptp.hAPP @t13 @t65 (tptp.hAPP @t14 @t127 @t126 @t292) @t289))) % 0.87/1.67 (define @t415 () (tptp.one_one tptp.nat)) % 0.87/1.67 (define @t416 () (tptp.plus_plus tptp.nat)) % 0.87/1.67 (define @t417 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 tptp.n) @t415)) % 0.87/1.67 (define @t418 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t323 (tptp.hAPP @t3 @t2 tptp.f (tptp.hAPP @t2 @t3 (tptp.hAPP @t261 @t316 @t315 (tptp.hAPP @t2 @t261 (tptp.hAPP @t258 @t314 @t313 (tptp.hAPP @t11 @t258 @t259 (tptp.hAPP tptp.nat @t11 @t265 @t417))) tptp.lab)) tptp.lba))))) % 0.87/1.67 (define @t419 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t238 @t417))) % 0.87/1.67 (define @t420 () (tptp.hAPP @t18 @t36 (tptp.hAPP @t16 @t75 @t104 @t300) @t395)) % 0.87/1.67 (define @t421 () (tptp.ti @t13 @t174)) % 0.87/1.67 (define @t422 () (tptp.hAPP @t14 @t13 @t395 @t175)) % 0.87/1.67 (define @t423 () (= @t422 @t421)) % 0.87/1.67 (define @t424 () (tptp.hAPP @t18 @t73 @t72 @t395)) % 0.87/1.67 (define @t425 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t424 @t300))) % 0.87/1.67 (define @t426 () (@list @t14 @t13 @t175 @t174 @t395)) % 0.87/1.67 (define @t427 () (@list @t14 @t13 @t175 @t395)) % 0.87/1.67 (define @t428 () (@var "B" $$unsorted)) % 0.87/1.67 (define @t429 () (tptp.hAPP @t14 @t42 @t428 @t175)) % 0.87/1.67 (define @t430 () (tptp.member @t13)) % 0.87/1.67 (define @t431 () (tptp.hAPP @t13 @t43 @t430 @t422)) % 0.87/1.67 (define @t432 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t431 @t429))) % 0.87/1.67 (define @t433 () (tptp.hAPP @t16 @t79 @t77 @t401)) % 0.87/1.67 (define @t434 () (tptp.hAPP @t64 @t78 @t433 @t428)) % 0.87/1.67 (define @t435 () (tptp.member @t18)) % 0.87/1.67 (define @t436 () (tptp.fun @t78 tptp.bool)) % 0.87/1.67 (define @t437 () (tptp.hAPP @t18 @t436 @t435 @t395)) % 0.87/1.67 (define @t438 () (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t437 @t434))) % 0.87/1.67 (define @t439 () (@list @t14 @t13 @t175 @t395 @t401 @t428)) % 0.87/1.67 (define @t440 () (@list @t202 @t201)) % 0.87/1.67 (define @t441 () (tptp.top_top @t78)) % 0.87/1.67 (define @t442 () (tptp.top_top @t42)) % 0.87/1.67 (define @t443 () (tptp.combk @t42 @t14)) % 0.87/1.67 (define @t444 () (tptp.combk @t13 @t21)) % 0.87/1.67 (define @t445 () (tptp.fun @t14 @t82)) % 0.87/1.67 (define @t446 () (= @t187 @t218)) % 0.87/1.67 (define @t447 () (tptp.hAPP @t2 @t9 tptp.arrow_1665824030_below @t173)) % 0.87/1.67 (define @t448 () (tptp.ord_less_eq @t14)) % 0.87/1.67 (define @t449 () (tptp.hAPP @t14 @t16 @t448 @t341)) % 0.87/1.67 (define @t450 () (@var "N_2" $$unsorted)) % 0.87/1.67 (define @t451 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t323 (tptp.hAPP @t3 @t2 tptp.f (tptp.hAPP @t2 @t3 (tptp.hAPP @t261 @t316 @t315 (tptp.hAPP @t2 @t261 (tptp.hAPP @t258 @t314 @t313 (tptp.hAPP @t11 @t258 @t259 (tptp.hAPP tptp.nat @t11 @t265 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 @t450) @t415)))) tptp.lab)) tptp.lba))))) % 0.87/1.67 (define @t452 () (forall @t336 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t335 @t450)) @t333))) % 0.87/1.67 (define @t453 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t450) @t279))) % 0.87/1.67 (define @t454 () (@list @t450)) % 0.87/1.67 (define @t455 () (tptp.hAPP @t14 @t16 @t448 @t342)) % 0.87/1.67 (define @t456 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t455 @t341))) % 0.87/1.67 (define @t457 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t449 @t342))) % 0.87/1.67 (define @t458 () (tptp.ord_less_eq @t18)) % 0.87/1.67 (define @t459 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool (tptp.hAPP @t18 @t78 @t458 @t395) @t393))) % 0.87/1.67 (define @t460 () (tptp.hAPP @t14 @t16 @t448 @t354)) % 0.87/1.67 (define @t461 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t460 @t341))) % 0.87/1.67 (define @t462 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t460 @t342))) % 0.87/1.67 (define @t463 () (@list @t342 @t341)) % 0.87/1.67 (define @t464 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t449 @t354))) % 0.87/1.67 (define @t465 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t455 @t354))) % 0.87/1.67 (define @t466 () (tptp.hAPP @t14 @t16 @t448 @t362)) % 0.87/1.67 (define @t467 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t466 @t285))) % 0.87/1.67 (define @t468 () (tptp.hAPP @t14 @t16 @t448 @t283)) % 0.87/1.67 (define @t469 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t468 @t285))) % 0.87/1.67 (define @t470 () (tptp.hAPP @t14 @t16 @t448 @t285)) % 0.87/1.67 (define @t471 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t470 @t362))) % 0.87/1.67 (define @t472 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t470 @t283))) % 0.87/1.67 (define @t473 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t468 @t362))) % 0.87/1.67 (define @t474 () (tptp.hAPP @t14 @t16 @t448 @t175)) % 0.87/1.67 (define @t475 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t474 @t174))) % 0.87/1.67 (define @t476 () (= @t475 @t386)) % 0.87/1.67 (define @t477 () (tptp.hAPP @t14 @t16 @t448 @t174)) % 0.87/1.67 (define @t478 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t477 @t175))) % 0.87/1.67 (define @t479 () (= @t341 @t342)) % 0.87/1.67 (define @t480 () (tptp.hAPP @t13 @t42 @t121 @t399)) % 0.87/1.67 (define @t481 () (forall @t298 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t480 @t398)))) % 0.87/1.67 (define @t482 () (@list @t395 @t393)) % 0.87/1.67 (define @t483 () (not @t376)) % 0.87/1.67 (define @t484 () (tptp.hAPP @t14 @t16 @t448 @t124)) % 0.87/1.67 (define @t485 () (tptp.ti @t14 @t292)) % 0.87/1.67 (define @t486 () (= @t485 (tptp.ti @t14 @t289))) % 0.87/1.67 (define @t487 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t14 @t73 @t168 @t289) @t401))) % 0.87/1.67 (define @t488 () (tptp.hAPP @t14 @t73 @t168 @t292)) % 0.87/1.67 (define @t489 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t488 @t401))) % 0.87/1.67 (define @t490 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t424 @t401))) % 0.87/1.67 (define @t491 () (@list @t14 @t13 @t395 @t401)) % 0.87/1.67 (define @t492 () (= @t422 (tptp.hAPP @t14 @t13 @t395 @t174))) % 0.87/1.67 (define @t493 () (tptp.hAPP @t14 @t73 @t168 @t174)) % 0.87/1.67 (define @t494 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t493 @t401))) % 0.87/1.67 (define @t495 () (@list @t14 @t13 @t175 @t174 @t395 @t401)) % 0.87/1.67 (define @t496 () (= @t492 @t386)) % 0.87/1.67 (define @t497 () (@list @t14 @t13 @t174 @t175 @t395 @t401)) % 0.87/1.67 (define @t498 () (tptp.fun tptp.arrow_1998540521e_indi @t6)) % 0.87/1.67 (define @t499 () (tptp.inj_on @t14 @t14)) % 0.87/1.67 (define @t500 () (@list @t14 @t401)) % 0.87/1.67 (define @t501 () (tptp.hAPP @t64 @t78 @t433 (tptp.hAPP @t42 @t64 @t443 @t428))) % 0.87/1.67 (define @t502 () (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t437 @t501))) % 0.87/1.67 (define @t503 () (tptp.fun @t33 tptp.bool)) % 0.87/1.67 (define @t504 () (tptp.hAPP @t18 @t36 (tptp.hAPP @t16 @t75 @t104 @t401) @t395)) % 0.87/1.67 (define @t505 () (@list @t14 @t13 @t175 @t395 @t401)) % 0.87/1.67 (define @t506 () (tptp.hAPP @t13 @t14 @t504 @t174)) % 0.87/1.67 (define @t507 () (tptp.hAPP @t14 @t42 @t428 @t292)) % 0.87/1.67 (define @t508 () (tptp.hAPP @t13 @t43 @t430 @t399)) % 0.87/1.67 (define @t509 () (forall @t298 (=> @t489 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t508 @t507))))) % 0.87/1.67 (define @t510 () (@list @t13 @t14 @t395 @t428 @t401)) % 0.87/1.67 (define @t511 () (tptp.ti @t13 @t292)) % 0.87/1.67 (define @t512 () (tptp.hAPP @t13 @t14 @t393 @t292)) % 0.87/1.67 (define @t513 () (tptp.hAPP @t14 @t33 @t89 @t285)) % 0.87/1.67 (define @t514 () (tptp.hAPP @t14 @t14 @t513 @t87)) % 0.87/1.67 (define @t515 () (tptp.linordered_semidom @t14)) % 0.87/1.67 (define @t516 () (@var "D" $$unsorted)) % 0.87/1.67 (define @t517 () (tptp.hAPP @t14 @t33 @t89 @t283)) % 0.87/1.67 (define @t518 () (tptp.hAPP @t14 @t14 @t517 @t516)) % 0.87/1.67 (define @t519 () (tptp.hAPP @t14 @t14 @t513 @t362)) % 0.87/1.67 (define @t520 () (tptp.hAPP @t14 @t16 @t118 @t519)) % 0.87/1.67 (define @t521 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t520 @t518))) % 0.87/1.67 (define @t522 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t466 @t516))) % 0.87/1.67 (define @t523 () (@list @t362 @t516 @t285 @t283)) % 0.87/1.67 (define @t524 () (tptp.ordere223160158up_add @t14)) % 0.87/1.67 (define @t525 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t363 @t516))) % 0.87/1.67 (define @t526 () (=> @t525 @t521)) % 0.87/1.67 (define @t527 () (@var "Y_2" $$unsorted)) % 0.87/1.67 (define @t528 () (tptp.ti @t14 @t527)) % 0.87/1.67 (define @t529 () (tptp.hAPP @t14 @t13 @t395 @t527)) % 0.87/1.67 (define @t530 () (=> (= @t399 @t529) (= @t485 @t528))) % 0.87/1.67 (define @t531 () (@list @t292 @t527)) % 0.87/1.67 (define @t532 () (@list @t14 @t13 @t395)) % 0.87/1.67 (define @t533 () (tptp.hAPP @t14 @t16 @t448 @t292)) % 0.87/1.67 (define @t534 () (tptp.hAPP @t14 @t16 @t118 @t292)) % 0.87/1.67 (define @t535 () (tptp.dense_linorder @t14)) % 0.87/1.67 (define @t536 () (@var "W_1" $$unsorted)) % 0.87/1.67 (define @t537 () (@list @t536)) % 0.87/1.67 (define @t538 () (tptp.hAPP @t14 @t13 @t395 @t202)) % 0.87/1.67 (define @t539 () (tptp.ord_less @t13)) % 0.87/1.67 (define @t540 () (tptp.hAPP @t13 @t42 @t539 @t223)) % 0.87/1.67 (define @t541 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t540 @t538))) % 0.87/1.67 (define @t542 () (tptp.hAPP @t14 @t13 @t395 @t201)) % 0.87/1.67 (define @t543 () (tptp.hAPP @t13 @t42 @t121 @t223)) % 0.87/1.67 (define @t544 () (tptp.hAPP @t14 @t16 @t118 @t201)) % 0.87/1.67 (define @t545 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t544 @t202))) % 0.87/1.67 (define @t546 () (@list @t223 @t395 @t201 @t202)) % 0.87/1.67 (define @t547 () (tptp.order @t13)) % 0.87/1.67 (define @t548 () (and @t137 @t547)) % 0.87/1.67 (define @t549 () (tptp.hAPP @t14 @t16 @t448 @t201)) % 0.87/1.67 (define @t550 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t549 @t202))) % 0.87/1.67 (define @t551 () (@var "A_3" $$unsorted)) % 0.87/1.67 (define @t552 () (tptp.hAPP @t78 @t436 (tptp.ord_less_eq @t78) @t434)) % 0.87/1.67 (define @t553 () (tptp.ord_less_eq @t16)) % 0.87/1.67 (define @t554 () (tptp.fun @t13 @t413)) % 0.87/1.67 (define @t555 () (tptp.fun @t127 @t554)) % 0.87/1.67 (define @t556 () (tptp.fun @t14 @t554)) % 0.87/1.67 (define @t557 () (tptp.fun @t66 @t42)) % 0.87/1.67 (define @t558 () (tptp.fun @t14 @t557)) % 0.87/1.67 (define @t559 () (tptp.hAPP @t558 @t67 (tptp.combc @t14 @t66 @t42) (tptp.hAPP @t556 @t558 (tptp.hAPP (tptp.fun @t554 @t557) (tptp.fun @t556 @t558) (tptp.combb @t554 @t557 @t14) (tptp.combc @t13 @t66 tptp.bool)) (tptp.hAPP @t128 @t556 (tptp.hAPP @t555 (tptp.fun @t128 @t556) (tptp.combb @t127 @t554 @t14) (tptp.hAPP (tptp.fun @t65 @t413) @t555 (tptp.combb @t65 @t413 @t13) @t412)) @t126)))) % 0.87/1.67 (define @t560 () (tptp.hAPP @t66 @t64 @t559 @t410)) % 0.87/1.67 (define @t561 () (tptp.hAPP @t66 @t64 @t559 @t411)) % 0.87/1.67 (define @t562 () (tptp.ord_less_eq @t64)) % 0.87/1.67 (define @t563 () (tptp.fun @t64 tptp.bool)) % 0.87/1.67 (define @t564 () (tptp.hAPP @t16 @t73 @t553 @t401)) % 0.87/1.67 (define @t565 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t564 @t428))) % 0.87/1.67 (define @t566 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t424 @t428))) % 0.87/1.67 (define @t567 () (@list @t14 @t13 @t401 @t395 @t428)) % 0.87/1.67 (define @t568 () (tptp.linordered_idom @t14)) % 0.87/1.67 (define @t569 () (tptp.hAPP @t14 @t33 @t89 @t362)) % 0.87/1.67 (define @t570 () (tptp.hAPP @t14 @t14 @t569 @t285)) % 0.87/1.67 (define @t571 () (@list @t283 @t285 @t362)) % 0.87/1.67 (define @t572 () (tptp.hAPP @t14 @t14 @t513 @t283)) % 0.87/1.67 (define @t573 () (@list @t285 @t283 @t362)) % 0.87/1.67 (define @t574 () (forall @t573 (=> (= @t572 @t519) @t367))) % 0.87/1.67 (define @t575 () (tptp.ti @t14 @t223)) % 0.87/1.67 (define @t576 () (tptp.ti @t14 @t201)) % 0.87/1.67 (define @t577 () (= @t576 @t575)) % 0.87/1.67 (define @t578 () (tptp.hAPP @t14 @t33 @t89 @t223)) % 0.87/1.67 (define @t579 () (tptp.hAPP @t14 @t14 @t578 @t202)) % 0.87/1.67 (define @t580 () (tptp.hAPP @t14 @t33 @t89 @t201)) % 0.87/1.67 (define @t581 () (tptp.hAPP @t14 @t14 @t580 @t202)) % 0.87/1.67 (define @t582 () (tptp.hAPP @t14 @t33 @t89 @t202)) % 0.87/1.67 (define @t583 () (tptp.hAPP @t14 @t14 @t582 @t223)) % 0.87/1.67 (define @t584 () (tptp.hAPP @t14 @t14 @t582 @t201)) % 0.87/1.67 (define @t585 () (@list @t202 @t201 @t223)) % 0.87/1.67 (define @t586 () (tptp.hAPP @t14 @t14 @t517 @t362)) % 0.87/1.67 (define @t587 () (tptp.hAPP @t14 @t33 @t89 @t572)) % 0.87/1.67 (define @t588 () (tptp.hAPP @t14 @t14 @t587 @t362)) % 0.87/1.67 (define @t589 () (forall @t573 (= @t588 (tptp.hAPP @t14 @t14 @t513 @t586)))) % 0.87/1.67 (define @t590 () (tptp.hAPP @t14 @t14 @t569 @t283)) % 0.87/1.67 (define @t591 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t570) @t590))) % 0.87/1.67 (define @t592 () (tptp.ordere236663937imp_le @t14)) % 0.87/1.67 (define @t593 () (tptp.hAPP @t14 @t16 @t448 @t519)) % 0.87/1.67 (define @t594 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t593 @t586))) % 0.87/1.67 (define @t595 () (@list @t285 @t362 @t283)) % 0.87/1.67 (define @t596 () (tptp.ordere779506340up_add @t14)) % 0.87/1.67 (define @t597 () (tptp.hAPP @t14 @t16 @t448 @t202)) % 0.87/1.67 (define @t598 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t597 @t201))) % 0.87/1.67 (define @t599 () (tptp.hAPP @t14 @t14 @t578 @t201)) % 0.87/1.67 (define @t600 () (@list @t223 @t202 @t201)) % 0.87/1.67 (define @t601 () (tptp.hAPP @t14 @t14 @t580 @t223)) % 0.87/1.67 (define @t602 () (@list @t202 @t223 @t201)) % 0.87/1.67 (define @t603 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t570) @t590))) % 0.87/1.67 (define @t604 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t520 @t586))) % 0.87/1.67 (define @t605 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t306 @t201))) % 0.87/1.67 (define @t606 () (tptp.hAPP @t13 @t14 @t395 @t223)) % 0.87/1.67 (define @t607 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t606) @t202))) % 0.87/1.67 (define @t608 () (tptp.hAPP @t13 @t14 @t395 @t292)) % 0.87/1.67 (define @t609 () (tptp.hAPP @t13 @t14 @t395 @t527)) % 0.87/1.67 (define @t610 () (tptp.hAPP @t13 @t14 @t395 @t201)) % 0.87/1.67 (define @t611 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t306 @t606))) % 0.87/1.67 (define @t612 () (@list @t223 @t202 @t395 @t201)) % 0.87/1.67 (define @t613 () (and @t547 @t137)) % 0.87/1.67 (define @t614 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t539 @t538) @t223))) % 0.87/1.67 (define @t615 () (@list @t395 @t223 @t202 @t201)) % 0.87/1.67 (define @t616 () (@var "N" $$unsorted)) % 0.87/1.67 (define @t617 () (@var "K_2" $$unsorted)) % 0.87/1.67 (define @t618 () (tptp.hAPP tptp.nat @t237 @t334 @t617)) % 0.87/1.67 (define @t619 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t618 @t616))) % 0.87/1.67 (define @t620 () (@var "M_3" $$unsorted)) % 0.87/1.67 (define @t621 () (tptp.hAPP tptp.nat @t237 @t334 @t620)) % 0.87/1.67 (define @t622 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t621 @t616))) % 0.87/1.67 (define @t623 () (tptp.hAPP tptp.nat @t113 @t416 @t620)) % 0.87/1.67 (define @t624 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 (tptp.hAPP tptp.nat tptp.nat @t623 @t617)) @t616))) % 0.87/1.67 (define @t625 () (@list @t620 @t617 @t616)) % 0.87/1.67 (define @t626 () (tptp.ti @t16 @t428)) % 0.87/1.67 (define @t627 () (tptp.ti @t16 @t401)) % 0.87/1.67 (define @t628 () (= @t627 @t626)) % 0.87/1.67 (define @t629 () (tptp.hAPP @t16 @t73 @t553 @t428)) % 0.87/1.67 (define @t630 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t629 @t401))) % 0.87/1.67 (define @t631 () (@list @t14 @t401 @t428)) % 0.87/1.67 (define @t632 () (tptp.hAPP @t14 @t73 @t168 @t223)) % 0.87/1.67 (define @t633 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t632 @t428))) % 0.87/1.67 (define @t634 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t632 @t401))) % 0.87/1.67 (define @t635 () (=> @t634 @t633)) % 0.87/1.67 (define @t636 () (@list @t14 @t223 @t401 @t428)) % 0.87/1.67 (define @t637 () (tptp.ord_less @t16)) % 0.87/1.67 (define @t638 () (tptp.hAPP @t16 @t73 @t637 @t401)) % 0.87/1.67 (define @t639 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t638 @t428))) % 0.87/1.67 (define @t640 () (@var "C" $$unsorted)) % 0.87/1.67 (define @t641 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t638 @t640))) % 0.87/1.67 (define @t642 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t629 @t640))) % 0.87/1.67 (define @t643 () (@list @t14 @t640 @t401 @t428)) % 0.87/1.67 (define @t644 () (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t16 @t73 @t637 @t428) @t640)) @t641)) % 0.87/1.67 (define @t645 () (@var "Q_1" $$unsorted)) % 0.87/1.67 (define @t646 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t14 @t42 @t645 @t175) @t174))) % 0.87/1.67 (define @t647 () (tptp.hBOOL (tptp.hAPP @t64 tptp.bool (tptp.hAPP @t64 @t563 @t562 @t200) @t645))) % 0.87/1.67 (define @t648 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t14 @t42 @t200 @t175) @t174))) % 0.87/1.67 (define @t649 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t564 @t640))) % 0.87/1.67 (define @t650 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t302 @t428))) % 0.87/1.67 (define @t651 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t645 @t175))) % 0.87/1.67 (define @t652 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t200 @t175))) % 0.87/1.67 (define @t653 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t16 @t73 @t553 @t200) @t645))) % 0.87/1.67 (define @t654 () (tptp.hAPP @t169 @t144 (tptp.combc @t14 @t16 tptp.bool) @t168)) % 0.87/1.67 (define @t655 () (tptp.hAPP @t16 @t16 @t654 @t410)) % 0.87/1.67 (define @t656 () (tptp.hAPP @t16 @t16 @t654 @t411)) % 0.87/1.67 (define @t657 () (tptp.hAPP tptp.nat @t237 @t236 @t616)) % 0.87/1.67 (define @t658 () (@list @t616)) % 0.87/1.67 (define @t659 () (@var "M" $$unsorted)) % 0.87/1.67 (define @t660 () (tptp.hAPP tptp.nat @t237 @t236 @t328)) % 0.87/1.67 (define @t661 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t660 @t659))) % 0.87/1.67 (define @t662 () (tptp.hAPP tptp.nat @t237 @t236 @t659)) % 0.87/1.67 (define @t663 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t662 @t328))) % 0.87/1.67 (define @t664 () (= @t659 @t328)) % 0.87/1.67 (define @t665 () (not @t664)) % 0.87/1.67 (define @t666 () (@list @t659 @t328)) % 0.87/1.67 (define @t667 () (tptp.hAPP tptp.nat @t237 @t236 @t341)) % 0.87/1.67 (define @t668 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t667 @t342))) % 0.87/1.67 (define @t669 () (= @t620 @t616)) % 0.87/1.67 (define @t670 () (not @t669)) % 0.87/1.67 (define @t671 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t657 @t620))) % 0.87/1.67 (define @t672 () (@list @t616 @t620)) % 0.87/1.67 (define @t673 () (@var "T_4" $$unsorted)) % 0.87/1.67 (define @t674 () (@var "S_1" $$unsorted)) % 0.87/1.67 (define @t675 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t200 @t328) @t659))) % 0.87/1.67 (define @t676 () (@list @t200 @t659 @t328)) % 0.87/1.67 (define @t677 () (tptp.hAPP tptp.nat @t113 @t416 @t616)) % 0.87/1.67 (define @t678 () (tptp.hAPP tptp.nat tptp.nat @t677 @t620)) % 0.87/1.67 (define @t679 () (tptp.hAPP tptp.nat tptp.nat @t623 @t616)) % 0.87/1.67 (define @t680 () (@list @t620 @t616)) % 0.87/1.67 (define @t681 () (tptp.hAPP tptp.nat @t113 @t416 @t341)) % 0.87/1.67 (define @t682 () (tptp.hAPP tptp.nat @t113 @t416 @t342)) % 0.87/1.67 (define @t683 () (tptp.hAPP tptp.nat tptp.nat @t682 @t354)) % 0.87/1.67 (define @t684 () (@list @t341 @t342 @t354)) % 0.87/1.67 (define @t685 () (@list @t620 @t616 @t617)) % 0.87/1.67 (define @t686 () (@var "K" $$unsorted)) % 0.87/1.67 (define @t687 () (tptp.hAPP tptp.nat @t113 @t416 @t686)) % 0.87/1.67 (define @t688 () (tptp.hAPP tptp.nat tptp.nat @t687 @t328)) % 0.87/1.67 (define @t689 () (tptp.hAPP tptp.nat tptp.nat @t687 @t659)) % 0.87/1.67 (define @t690 () (@list @t686 @t659 @t328)) % 0.87/1.67 (define @t691 () (tptp.hAPP tptp.nat @t113 @t416 @t328)) % 0.87/1.67 (define @t692 () (tptp.hAPP tptp.nat tptp.nat @t691 @t686)) % 0.87/1.67 (define @t693 () (tptp.hAPP tptp.nat @t113 @t416 @t659)) % 0.87/1.67 (define @t694 () (tptp.hAPP tptp.nat tptp.nat @t693 @t686)) % 0.87/1.67 (define @t695 () (@list @t659 @t686 @t328)) % 0.87/1.67 (define @t696 () (tptp.hAPP tptp.nat @t237 @t334 @t616)) % 0.87/1.67 (define @t697 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t696 @t620))) % 0.87/1.67 (define @t698 () (@var "I_2" $$unsorted)) % 0.87/1.67 (define @t699 () (tptp.hAPP tptp.nat @t237 @t334 @t698)) % 0.87/1.67 (define @t700 () (@var "J_1" $$unsorted)) % 0.87/1.67 (define @t701 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t699 @t700))) % 0.87/1.67 (define @t702 () (@list @t617 @t698 @t700)) % 0.87/1.67 (define @t703 () (@var "N_1" $$unsorted)) % 0.87/1.67 (define @t704 () (tptp.fun tptp.nat @t113)) % 0.87/1.67 (define @t705 () (tptp.hAPP tptp.nat @t113 (tptp.hAPP @t704 @t704 (tptp.combc tptp.nat tptp.nat tptp.nat) @t416) @t686)) % 0.87/1.67 (define @t706 () (tptp.inj_on tptp.nat tptp.nat)) % 0.87/1.67 (define @t707 () (tptp.fun @t237 tptp.bool)) % 0.87/1.67 (define @t708 () (tptp.hAPP tptp.nat @t113 @t416 @t698)) % 0.87/1.67 (define @t709 () (tptp.hAPP tptp.nat tptp.nat @t708 @t700)) % 0.87/1.67 (define @t710 () (tptp.hAPP tptp.nat @t237 @t236 @t709)) % 0.87/1.67 (define @t711 () (@list @t698 @t700)) % 0.87/1.67 (define @t712 () (tptp.hAPP tptp.nat @t113 @t416 @t700)) % 0.87/1.67 (define @t713 () (tptp.hAPP tptp.nat tptp.nat @t712 @t620)) % 0.87/1.67 (define @t714 () (tptp.hAPP tptp.nat @t237 @t236 @t698)) % 0.87/1.67 (define @t715 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t714 @t700))) % 0.87/1.67 (define @t716 () (@list @t620 @t698 @t700)) % 0.87/1.67 (define @t717 () (tptp.hAPP tptp.nat tptp.nat @t623 @t700)) % 0.87/1.67 (define @t718 () (tptp.hAPP tptp.nat tptp.nat @t712 @t617)) % 0.87/1.67 (define @t719 () (tptp.hAPP tptp.nat tptp.nat @t708 @t617)) % 0.87/1.67 (define @t720 () (tptp.hAPP tptp.nat @t237 @t236 @t719)) % 0.87/1.67 (define @t721 () (@var "L_1" $$unsorted)) % 0.87/1.67 (define @t722 () (tptp.hAPP tptp.nat tptp.nat @t712 @t721)) % 0.87/1.67 (define @t723 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t617) @t721))) % 0.87/1.67 (define @t724 () (@list @t617 @t721 @t698 @t700)) % 0.87/1.67 (define @t725 () (tptp.hAPP tptp.nat @t237 @t236 @t620)) % 0.87/1.67 (define @t726 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t725 @t616))) % 0.87/1.67 (define @t727 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t714 @t617))) % 0.87/1.67 (define @t728 () (tptp.hAPP tptp.nat @t237 @t334 @t659)) % 0.87/1.67 (define @t729 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t728 @t328))) % 0.87/1.67 (define @t730 () (or @t663 @t664)) % 0.87/1.67 (define @t731 () (@var "K_1" $$unsorted)) % 0.87/1.67 (define @t732 () (tptp.hAPP tptp.nat tptp.nat @t693 @t731)) % 0.87/1.67 (define @t733 () (@list @t731)) % 0.87/1.67 (define @t734 () (tptp.hAPP tptp.nat @t237 @t334 @t719)) % 0.87/1.67 (define @t735 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t618 @t721))) % 0.87/1.67 (define @t736 () (tptp.ord_less_eq @t42)) % 0.87/1.67 (define @t737 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t488 @t428))) % 0.87/1.67 (define @t738 () (@list @t14 @t428 @t401)) % 0.87/1.67 (define @t739 () (tptp.hAPP tptp.nat tptp.nat @t395 @t450)) % 0.87/1.67 (define @t740 () (tptp.hAPP tptp.nat @t237 @t236 @t332)) % 0.87/1.67 (define @t741 () (@var "J" $$unsorted)) % 0.87/1.67 (define @t742 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 @t318) @t741))) % 0.87/1.67 (define @t743 () (@var "J_2" $$unsorted)) % 0.87/1.67 (define @t744 () (tptp.hAPP tptp.nat tptp.nat @t395 @t206)) % 0.87/1.67 (define @t745 () (tptp.hAPP tptp.nat @t237 @t236 @t206)) % 0.87/1.67 (define @t746 () (tptp.hAPP tptp.nat @t237 @t334 @t341)) % 0.87/1.67 (define @t747 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t746 @t683))) % 0.87/1.67 (define @t748 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t746 @t342))) % 0.87/1.67 (define @t749 () (@list @t342 @t341 @t354)) % 0.87/1.67 (define @t750 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t667 @t683))) % 0.87/1.67 (define @t751 () (forall @t298 (=> @t489 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t508 @t428))))) % 0.87/1.67 (define @t752 () (@var "L_2" $$unsorted)) % 0.87/1.67 (define @t753 () (tptp.hAPP @t18 @t436 @t435 @t393)) % 0.87/1.67 (define @t754 () (tptp.finite_card @t13)) % 0.87/1.67 (define @t755 () (tptp.hAPP @t42 tptp.nat @t754 @t428)) % 0.87/1.67 (define @t756 () (tptp.hAPP @t16 tptp.nat @t39 @t401)) % 0.87/1.67 (define @t757 () (tptp.hAPP tptp.nat @t237 @t334 @t756)) % 0.87/1.67 (define @t758 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t757 @t755))) % 0.87/1.67 (define @t759 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t41 @t428))) % 0.87/1.67 (define @t760 () (=> @t759 @t758)) % 0.87/1.67 (define @t761 () (@list @t14 @t13 @t395 @t401 @t428)) % 0.87/1.67 (define @t762 () (= (tptp.hAPP @t13 @t14 @t393 @t399) @t485)) % 0.87/1.67 (define @t763 () (@list @t13 @t14 @t393 @t395 @t401)) % 0.87/1.67 (define @t764 () (tptp.finite_finite_1 @t14)) % 0.87/1.67 (define @t765 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t764 @t401))) % 0.87/1.67 (define @t766 () (=> @t765 (=> @t759 (= @t756 @t755)))) % 0.87/1.67 (define @t767 () (tptp.inj_on @t13 @t14)) % 0.87/1.67 (define @t768 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t36 @t43 @t767 @t393) @t428))) % 0.87/1.67 (define @t769 () (tptp.fun @t13 @t16)) % 0.87/1.67 (define @t770 () (tptp.fun @t36 tptp.bool)) % 0.87/1.67 (define @t771 () (tptp.fun @t16 @t73)) % 0.87/1.67 (define @t772 () (tptp.hAPP @t16 tptp.nat @t39 @t428)) % 0.87/1.67 (define @t773 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t756) @t772))) % 0.87/1.67 (define @t774 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t764 @t428))) % 0.87/1.67 (define @t775 () (tptp.combc tptp.nat tptp.nat tptp.bool)) % 0.87/1.67 (define @t776 () (tptp.hAPP @t253 @t253 @t775 @t334)) % 0.87/1.67 (define @t777 () (tptp.collect tptp.nat)) % 0.87/1.67 (define @t778 () (tptp.finite_finite_1 tptp.nat)) % 0.87/1.67 (define @t779 () (@list @t686)) % 0.87/1.67 (define @t780 () (tptp.combb tptp.bool @t161 @t14)) % 0.87/1.67 (define @t781 () (tptp.fun @t14 @t161)) % 0.87/1.67 (define @t782 () (tptp.fun @t16 @t781)) % 0.87/1.67 (define @t783 () (tptp.hAPP @t162 @t782 @t780 tptp.fconj)) % 0.87/1.67 (define @t784 () (tptp.combs @t14 tptp.bool tptp.bool)) % 0.87/1.67 (define @t785 () (tptp.hAPP @t16 @t16 @t143 (tptp.hAPP @t16 @t16 (tptp.hAPP @t781 @t144 @t784 (tptp.hAPP @t16 @t781 @t783 @t200)) @t645))) % 0.87/1.67 (define @t786 () (tptp.hAPP @t16 @t16 @t143 @t645)) % 0.87/1.67 (define @t787 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t764 @t786))) % 0.87/1.67 (define @t788 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t764 @t404))) % 0.87/1.67 (define @t789 () (@list @t14 @t645 @t200)) % 0.87/1.67 (define @t790 () (tptp.hAPP @t253 @t253 @t775 @t236)) % 0.87/1.67 (define @t791 () (tptp.top_top @t237)) % 0.87/1.67 (define @t792 () (@list @t401)) % 0.87/1.67 (define @t793 () (tptp.finite_finite @t14)) % 0.87/1.67 (define @t794 () (tptp.fun tptp.product_unit tptp.bool)) % 0.87/1.67 (define @t795 () (tptp.hAPP @t162 @t782 @t780 tptp.fdisj)) % 0.87/1.67 (define @t796 () (tptp.hAPP @t16 @t16 @t143 (tptp.hAPP @t16 @t16 (tptp.hAPP @t781 @t144 @t784 (tptp.hAPP @t16 @t781 @t795 @t200)) @t645))) % 0.87/1.67 (define @t797 () (@list @t14 @t200 @t645)) % 0.87/1.67 (define @t798 () (tptp.hAPP @t237 @t237 @t777 (tptp.hAPP tptp.nat @t237 @t790 @t328))) % 0.87/1.67 (define @t799 () (tptp.finite_card tptp.nat)) % 0.87/1.67 (define @t800 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t764 @t300))) % 0.87/1.67 (define @t801 () (tptp.option @t14)) % 0.87/1.67 (define @t802 () (tptp.fun @t801 tptp.bool)) % 0.87/1.67 (define @t803 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t41 @t442))) % 0.87/1.67 (define @t804 () (tptp.top_top @t150)) % 0.87/1.67 (define @t805 () (tptp.finite_finite_1 @t149)) % 0.87/1.67 (define @t806 () (tptp.hAPP @t16 tptp.nat @t39 @t300)) % 0.87/1.67 (define @t807 () (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.finite_finite_1 @t18) @t441))) % 0.87/1.67 (define @t808 () (tptp.hAPP tptp.nat @t237 @t790 @t318)) % 0.87/1.67 (define @t809 () (tptp.fun tptp.nat @t161)) % 0.87/1.67 (define @t810 () (tptp.hAPP @t162 (tptp.fun @t237 @t809) (tptp.combb tptp.bool @t161 tptp.nat) tptp.fconj)) % 0.87/1.67 (define @t811 () (tptp.combs tptp.nat tptp.bool tptp.bool)) % 0.87/1.67 (define @t812 () (tptp.fun @t237 @t237)) % 0.87/1.67 (define @t813 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t14 @t73 @t168 @t272) @t401))) % 0.87/1.67 (define @t814 () (@list @t272)) % 0.87/1.67 (define @t815 () (tptp.member tptp.nat)) % 0.87/1.67 (define @t816 () (tptp.hAPP tptp.nat @t707 @t815 @t292)) % 0.87/1.67 (define @t817 () (tptp.hBOOL (tptp.hAPP @t237 tptp.bool @t816 @t703))) % 0.87/1.67 (define @t818 () (tptp.hBOOL (tptp.hAPP @t237 tptp.bool @t778 @t703))) % 0.87/1.67 (define @t819 () (@list @t703)) % 0.87/1.67 (define @t820 () (tptp.hAPP tptp.nat @t237 @t236 @t292)) % 0.87/1.67 (define @t821 () (tptp.hAPP tptp.nat @t113 @t416 @t756)) % 0.87/1.67 (define @t822 () (tptp.hAPP @t42 @t150 (tptp.hAPP @t16 @t151 @t148 @t401) @t428)) % 0.87/1.67 (define @t823 () (tptp.hAPP @t150 tptp.nat (tptp.finite_card @t149) @t822)) % 0.87/1.67 (define @t824 () (= @t823 (tptp.hAPP tptp.nat tptp.nat @t821 @t755))) % 0.87/1.67 (define @t825 () (@list @t13 @t14 @t428 @t401)) % 0.87/1.67 (define @t826 () (tptp.hAPP @t42 @t14 @t290 @t401)) % 0.87/1.67 (define @t827 () (tptp.hAPP @t42 @t14 @t290 @t428)) % 0.87/1.67 (define @t828 () (tptp.hAPP @t42 @t43 @t736 @t428)) % 0.87/1.67 (define @t829 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t41 @t401))) % 0.87/1.67 (define @t830 () (tptp.hBOOL (tptp.hAPP @t46 tptp.bool (tptp.hAPP @t36 @t60 (tptp.hAPP @t14 @t61 (tptp.hAPP @t49 @t62 @t59 @t395) @t182) @t393) @t290))) % 0.87/1.67 (define @t831 () (@list @t13 @t14 @t428 @t401 @t395 @t182 @t393 @t290)) % 0.87/1.67 (define @t832 () (tptp.hBOOL (tptp.hAPP @t150 tptp.bool @t805 @t822))) % 0.87/1.67 (define @t833 () (@list @t14 @t13 @t401 @t428)) % 0.87/1.67 (define @t834 () (and @t765 @t759)) % 0.87/1.67 (define @t835 () (tptp.hAPP @t13 @t14 @t393 @t175)) % 0.87/1.67 (define @t836 () (tptp.hAPP @t13 @t43 @t430 @t175)) % 0.87/1.67 (define @t837 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t836 @t401))) % 0.87/1.67 (define @t838 () (@var "U" $$unsorted)) % 0.87/1.67 (define @t839 () (tptp.zero_zero tptp.nat)) % 0.87/1.67 (define @t840 () (@list @t13 @t14 @t395 @t401)) % 0.87/1.67 (define @t841 () (tptp.hAPP @t18 @t73 @t72 @t393)) % 0.87/1.67 (define @t842 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t841 @t401))) % 0.87/1.67 (define @t843 () (@list @t13 @t14 @t395 @t393 @t401)) % 0.87/1.67 (define @t844 () (= @t385 @t101)) % 0.87/1.67 (define @t845 () (forall @t305 (= (tptp.hAPP @t14 @t14 @t513 @t101) @t286))) % 0.87/1.67 (define @t846 () (tptp.comm_monoid_add @t14)) % 0.87/1.67 (define @t847 () (= @t288 @t101)) % 0.87/1.67 (define @t848 () (tptp.hAPP @t14 @t14 @t582 @t202)) % 0.87/1.67 (define @t849 () (tptp.linord219039673up_add @t14)) % 0.87/1.67 (define @t850 () (forall @t305 (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 @t101) @t285) @t286))) % 0.87/1.67 (define @t851 () (tptp.zero_neq_one @t14)) % 0.87/1.67 (define @t852 () (tptp.hAPP tptp.nat @t237 @t236 @t839)) % 0.87/1.67 (define @t853 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t852 @t328))) % 0.87/1.67 (define @t854 () (= @t328 @t839)) % 0.87/1.67 (define @t855 () (= @t616 @t839)) % 0.87/1.67 (define @t856 () (not @t855)) % 0.87/1.67 (define @t857 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t852 @t616))) % 0.87/1.67 (define @t858 () (@list @t620)) % 0.87/1.67 (define @t859 () (= @t659 @t839)) % 0.87/1.67 (define @t860 () (tptp.hAPP tptp.nat tptp.nat @t693 @t328)) % 0.87/1.67 (define @t861 () (tptp.hAPP tptp.nat @t237 @t334 @t328)) % 0.87/1.67 (define @t862 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t468 @t101))) % 0.87/1.67 (define @t863 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t470 @t101))) % 0.87/1.67 (define @t864 () (tptp.ordere216010020id_add @t14)) % 0.87/1.67 (define @t865 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t468 @t519))) % 0.87/1.67 (define @t866 () (tptp.hAPP @t14 @t16 @t448 @t101)) % 0.87/1.67 (define @t867 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t362))) % 0.87/1.67 (define @t868 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t285))) % 0.87/1.67 (define @t869 () (@list @t283 @t362 @t285)) % 0.87/1.67 (define @t870 () (= @t384 @t101)) % 0.87/1.67 (define @t871 () (and @t844 @t870)) % 0.87/1.67 (define @t872 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t283))) % 0.87/1.67 (define @t873 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t597 @t101))) % 0.87/1.67 (define @t874 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t202))) % 0.87/1.67 (define @t875 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t572) @t101))) % 0.87/1.67 (define @t876 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t368 @t101))) % 0.87/1.67 (define @t877 () (=> @t876 @t875)) % 0.87/1.67 (define @t878 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t371 @t101))) % 0.87/1.67 (define @t879 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t368 @t519))) % 0.87/1.67 (define @t880 () (=> @t377 @t879)) % 0.87/1.67 (define @t881 () (tptp.hAPP @t14 @t16 @t118 @t101)) % 0.87/1.67 (define @t882 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t881 @t285))) % 0.87/1.67 (define @t883 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t881 @t572))) % 0.87/1.67 (define @t884 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t881 @t283))) % 0.87/1.67 (define @t885 () (=> @t884 @t883)) % 0.87/1.67 (define @t886 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t306 @t101))) % 0.87/1.67 (define @t887 () (forall @t308 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t848) @t101)) @t886))) % 0.87/1.67 (define @t888 () (tptp.hAPP @t14 @t16 @t118 @t87)) % 0.87/1.67 (define @t889 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t852 @t659))) % 0.87/1.67 (define @t890 () (= @t756 @t839)) % 0.87/1.67 (define @t891 () (not @t765)) % 0.87/1.67 (define @t892 () (=> @t891 @t890)) % 0.87/1.67 (define @t893 () (tptp.hAPP @t14 @t33 @t89 @t87)) % 0.87/1.67 (define @t894 () (tptp.hAPP @t14 @t14 @t893 @t87)) % 0.87/1.67 (define @t895 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t200 @t206))) % 0.87/1.67 (define @t896 () (not @t895)) % 0.87/1.67 (define @t897 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t200 @t328))) % 0.87/1.67 (define @t898 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t200 @t839))) % 0.87/1.67 (define @t899 () (not @t898)) % 0.87/1.67 (define @t900 () (@list @t328 @t200)) % 0.87/1.67 (define @t901 () (= @t415 @t839)) % 0.87/1.67 (define @t902 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t839)) % 0.87/1.67 (define @t903 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t616)) % 0.87/1.67 (define @t904 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t620)) % 0.87/1.67 (define @t905 () (tptp.hAPP tptp.nat @t237 @t236 @t904)) % 0.87/1.67 (define @t906 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t905 @t903))) % 0.87/1.67 (define @t907 () (@var "Nat_5" $$unsorted)) % 0.87/1.67 (define @t908 () (@var "Nat_1" $$unsorted)) % 0.87/1.67 (define @t909 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t908)) % 0.87/1.67 (define @t910 () (@var "Nat_4" $$unsorted)) % 0.87/1.67 (define @t911 () (@var "Nat_3" $$unsorted)) % 0.87/1.67 (define @t912 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t905 @t616))) % 0.87/1.67 (define @t913 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t725 @t903))) % 0.87/1.67 (define @t914 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t698)) % 0.87/1.67 (define @t915 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t914) @t617))) % 0.87/1.67 (define @t916 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t659)) % 0.87/1.67 (define @t917 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t660 @t916))) % 0.87/1.67 (define @t918 () (= @t917 (= @t328 @t659))) % 0.87/1.67 (define @t919 () (not @t661)) % 0.87/1.67 (define @t920 () (@list @t328 @t659)) % 0.87/1.67 (define @t921 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t328)) % 0.87/1.67 (define @t922 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t662 @t921))) % 0.87/1.67 (define @t923 () (tptp.hAPP tptp.nat tptp.nat @t623 @t903)) % 0.87/1.67 (define @t924 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 @t904) @t616)) % 0.87/1.67 (define @t925 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t679)) % 0.87/1.67 (define @t926 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 @t904) @t616))) % 0.87/1.67 (define @t927 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t621 @t903))) % 0.87/1.67 (define @t928 () (tptp.hAPP tptp.nat @t237 @t334 @t921)) % 0.87/1.67 (define @t929 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t928 @t659))) % 0.87/1.67 (define @t930 () (tptp.hAPP tptp.nat @t237 @t334 @t903)) % 0.87/1.67 (define @t931 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t332)) % 0.87/1.67 (define @t932 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t743)) % 0.87/1.67 (define @t933 () (@list @t743)) % 0.87/1.67 (define @t934 () (= @t328 @t902)) % 0.87/1.67 (define @t935 () (= @t659 @t902)) % 0.87/1.67 (define @t936 () (or (and @t935 @t854) (and @t859 @t934))) % 0.87/1.67 (define @t937 () (@list @t698 @t620)) % 0.87/1.67 (define @t938 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 @t916) @t328))) % 0.87/1.67 (define @t939 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t318)) % 0.87/1.67 (define @t940 () (@var "M_2" $$unsorted)) % 0.87/1.67 (define @t941 () (tptp.combc tptp.nat @t237 tptp.bool)) % 0.87/1.67 (define @t942 () (tptp.fun tptp.nat @t707)) % 0.87/1.67 (define @t943 () (tptp.hAPP @t237 tptp.nat @t799 (tptp.hAPP @t237 @t237 @t777 (tptp.hAPP @t237 @t237 (tptp.hAPP @t809 @t812 @t811 (tptp.hAPP @t237 @t809 @t810 (tptp.hAPP @t237 @t237 (tptp.hAPP @t942 @t812 @t941 @t815) @t940))) (tptp.hAPP tptp.nat @t237 @t790 @t939))))) % 0.87/1.67 (define @t944 () (tptp.hAPP @t237 tptp.nat @t799 (tptp.hAPP @t237 @t237 @t777 (tptp.hAPP @t237 @t237 (tptp.hAPP @t809 @t812 @t811 (tptp.hAPP @t237 @t809 @t810 (tptp.hAPP @t237 @t237 (tptp.hAPP @t942 @t812 @t941 (tptp.hAPP @t113 @t942 (tptp.hAPP @t942 (tptp.fun @t113 @t942) (tptp.combb tptp.nat @t707 tptp.nat) @t815) tptp.suc)) @t940))) @t808)))) % 0.87/1.67 (define @t945 () (tptp.hBOOL (tptp.hAPP @t237 tptp.bool (tptp.hAPP tptp.nat @t707 @t815 @t839) @t940))) % 0.87/1.67 (define @t946 () (@list @t318 @t940)) % 0.87/1.67 (define @t947 () (= (= @t848 @t101) @t847)) % 0.87/1.67 (define @t948 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t206)) % 0.87/1.67 (define @t949 () (exists @t336 (= @t616 @t931))) % 0.87/1.67 (define @t950 () (@var "N_3" $$unsorted)) % 0.87/1.67 (define @t951 () (tptp.hAPP tptp.nat @t14 @t395 @t950)) % 0.87/1.67 (define @t952 () (tptp.hAPP tptp.nat @t14 @t395 @t328)) % 0.87/1.67 (define @t953 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t450)) % 0.87/1.67 (define @t954 () (tptp.hAPP tptp.nat @t14 @t395 @t953)) % 0.87/1.67 (define @t955 () (tptp.hAPP tptp.nat @t14 @t395 @t450)) % 0.87/1.67 (define @t956 () (@list @t328 @t950 @t395)) % 0.87/1.67 (define @t957 () (tptp.hAPP tptp.nat @t14 @t395 @t659)) % 0.87/1.67 (define @t958 () (tptp.hAPP @t14 @t16 @t118 @t952)) % 0.87/1.67 (define @t959 () (forall @t454 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t955) @t954)))) % 0.87/1.67 (define @t960 () (@var "M_4" $$unsorted)) % 0.87/1.67 (define @t961 () (not (forall @t933 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t714 @t743)) (not (= @t617 @t932)))))) % 0.87/1.67 (define @t962 () (@list @t698 @t617)) % 0.87/1.67 (define @t963 () (@var "Nat_2" $$unsorted)) % 0.87/1.67 (define @t964 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t200 @t450))) % 0.87/1.67 (define @t965 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t200 @t953))) % 0.87/1.67 (define @t966 () (tptp.comm_semiring_1 @t14)) % 0.87/1.67 (define @t967 () (tptp.hAPP @t14 @t14 @t569 @t516)) % 0.87/1.67 (define @t968 () (tptp.hAPP @t14 @t14 @t513 @t967)) % 0.87/1.67 (define @t969 () (@list @t285 @t362 @t516)) % 0.87/1.67 (define @t970 () (tptp.hAPP @t14 @t33 @t89 @t519)) % 0.87/1.67 (define @t971 () (@list @t201 @t202)) % 0.87/1.67 (define @t972 () (tptp.semiri456707255roduct @t14)) % 0.87/1.67 (define @t973 () (@var "E_1" $$unsorted)) % 0.87/1.67 (define @t974 () (tptp.hAPP @t14 @t33 @t89 @t342)) % 0.87/1.67 (define @t975 () (tptp.hAPP tptp.nat @t158 (tptp.combk tptp.nat @t14) @t415)) % 0.87/1.67 (define @t976 () (tptp.fun tptp.nat @t40)) % 0.87/1.67 (define @t977 () (=> @t765 (= @t756 (tptp.hAPP @t16 tptp.nat (tptp.hAPP tptp.nat @t40 (tptp.hAPP @t158 @t976 (tptp.hAPP @t704 (tptp.fun @t158 @t976) (tptp.finite_fold_image tptp.nat @t14) @t416) @t975) @t839) @t401)))) % 0.87/1.67 (define @t978 () (tptp.ord_atLeastLessThan tptp.nat)) % 0.87/1.67 (define @t979 () (tptp.hAPP tptp.nat @t253 @t978 @t839)) % 0.87/1.67 (define @t980 () (tptp.hAPP tptp.nat @t237 @t979 @t279)) % 0.87/1.67 (define @t981 () (tptp.image tptp.arrow_1998540521e_indi tptp.nat)) % 0.87/1.67 (define @t982 () (tptp.fun @t11 @t237)) % 0.87/1.67 (define @t983 () (tptp.hAPP @t36 @t146 @t145 @t395)) % 0.87/1.67 (define @t984 () (tptp.hAPP @t42 @t16 @t983 @t401)) % 0.87/1.67 (define @t985 () (tptp.hAPP @t14 @t73 @t168 @t201)) % 0.87/1.67 (define @t986 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t985 @t984))) % 0.87/1.67 (define @t987 () (tptp.hAPP @t13 @t14 @t395 @t175)) % 0.87/1.67 (define @t988 () (= @t576 @t987)) % 0.87/1.67 (define @t989 () (@var "Ha" $$unsorted)) % 0.87/1.67 (define @t990 () (tptp.image @t14 @t13)) % 0.87/1.67 (define @t991 () (tptp.fun @t16 @t42)) % 0.87/1.67 (define @t992 () (tptp.hAPP @t18 @t991 @t990 @t989)) % 0.87/1.67 (define @t993 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t764 @t290))) % 0.87/1.67 (define @t994 () (@var "L" $$unsorted)) % 0.87/1.67 (define @t995 () (tptp.hAPP tptp.nat @t253 @t978 @t994)) % 0.87/1.67 (define @t996 () (@list @t994 @t838)) % 0.87/1.67 (define @t997 () (@var "H" $$unsorted)) % 0.87/1.67 (define @t998 () (tptp.hAPP @t18 @t991 @t990 @t395)) % 0.87/1.67 (define @t999 () (tptp.hAPP @t16 @t42 @t998 @t428)) % 0.87/1.67 (define @t1000 () (tptp.hAPP @t16 @t42 @t998 @t401)) % 0.87/1.67 (define @t1001 () (tptp.hAPP @t42 @t43 @t736 @t1000)) % 0.87/1.67 (define @t1002 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t1001 @t999))) % 0.87/1.67 (define @t1003 () (@list @t13 @t14 @t395 @t401 @t428)) % 0.87/1.67 (define @t1004 () (@var "AA" $$unsorted)) % 0.87/1.67 (define @t1005 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t629 @t984))) % 0.87/1.67 (define @t1006 () (@list @t14 @t13 @t428 @t395 @t401)) % 0.87/1.67 (define @t1007 () (tptp.hAPP @t42 @t16 @t983 @t442)) % 0.87/1.67 (define @t1008 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t985 @t1007))) % 0.87/1.67 (define @t1009 () (@var "Y_3" $$unsorted)) % 0.87/1.67 (define @t1010 () (tptp.image @t14 @t14)) % 0.87/1.67 (define @t1011 () (tptp.fun @t82 @t132)) % 0.87/1.67 (define @t1012 () (tptp.image @t21 @t14)) % 0.87/1.67 (define @t1013 () (tptp.fun @t21 tptp.bool)) % 0.87/1.67 (define @t1014 () (tptp.fun @t1013 @t16)) % 0.87/1.67 (define @t1015 () (tptp.ti @t14 @t182)) % 0.87/1.67 (define @t1016 () (tptp.hAPP @t13 @t43 @t430 @t292)) % 0.87/1.67 (define @t1017 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t1016 @t401))) % 0.87/1.67 (define @t1018 () (tptp.hAPP @t13 @t43 @t430 @t201)) % 0.87/1.67 (define @t1019 () (@var "Da" $$unsorted)) % 0.87/1.67 (define @t1020 () (tptp.ti @t14 @t1019)) % 0.87/1.67 (define @t1021 () (= @t576 @t1020)) % 0.87/1.67 (define @t1022 () (tptp.hAPP @t14 @t16 @t118 @t223)) % 0.87/1.67 (define @t1023 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1022 @t1019))) % 0.87/1.67 (define @t1024 () (tptp.hAPP @t14 @t16 (tptp.hAPP @t14 @t119 @t138 @t223) @t1019)) % 0.87/1.67 (define @t1025 () (tptp.hAPP @t14 @t16 (tptp.hAPP @t14 @t119 @t138 @t202) @t201)) % 0.87/1.67 (define @t1026 () (= @t1025 @t1024)) % 0.87/1.67 (define @t1027 () (@list @t202 @t201 @t223 @t1019)) % 0.87/1.67 (define @t1028 () (= @t288 @t575)) % 0.87/1.67 (define @t1029 () (@list @t223 @t1019 @t202 @t201)) % 0.87/1.67 (define @t1030 () (tptp.hilbert_inv_into @t13 @t14)) % 0.87/1.67 (define @t1031 () (tptp.fun @t36 @t18)) % 0.87/1.67 (define @t1032 () (tptp.hAPP @t36 @t18 (tptp.hAPP @t42 @t1031 @t1030 @t401) @t395)) % 0.87/1.67 (define @t1033 () (@list @t14 @t13 @t174 @t395 @t401)) % 0.87/1.67 (define @t1034 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t13 @t43 @t430 @t174) @t1000))) % 0.87/1.67 (define @t1035 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t836 @t1000))) % 0.87/1.67 (define @t1036 () (tptp.image @t13 @t21)) % 0.87/1.67 (define @t1037 () (tptp.fun @t42 @t1013)) % 0.87/1.67 (define @t1038 () (tptp.hAPP @t25 @t1037 @t1036 @t393)) % 0.87/1.67 (define @t1039 () (tptp.hAPP @t132 @t1014 @t1012 @t395)) % 0.87/1.67 (define @t1040 () (tptp.fun @t25 @t36)) % 0.87/1.67 (define @t1041 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t36 @t43 @t767 @t395) @t401))) % 0.87/1.67 (define @t1042 () (@list @t527)) % 0.87/1.67 (define @t1043 () (tptp.hAPP @t16 @t42 @t998 @t300)) % 0.87/1.67 (define @t1044 () (@list @t14 @t13 @t201 @t395)) % 0.87/1.67 (define @t1045 () (tptp.hAPP @t14 @t73 @t168 @t202)) % 0.87/1.67 (define @t1046 () (= (= @t1000 @t999) @t628)) % 0.87/1.67 (define @t1047 () (@list @t14 @t13 @t401 @t428 @t395)) % 0.87/1.67 (define @t1048 () (tptp.hAPP @t42 tptp.nat @t754 @t1000)) % 0.87/1.67 (define @t1049 () (= @t1048 @t756)) % 0.87/1.67 (define @t1050 () (@var "B_2" $$unsorted)) % 0.87/1.67 (define @t1051 () (tptp.hAPP @t36 @t18 (tptp.hAPP @t42 @t1031 @t1030 @t442) @t395)) % 0.87/1.67 (define @t1052 () (= @t1007 @t300)) % 0.87/1.67 (define @t1053 () (@list @t13 @t14 @t174 @t395)) % 0.87/1.67 (define @t1054 () (@list @t13 @t14 @t395)) % 0.87/1.67 (define @t1055 () (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t978 @t686) (tptp.hAPP tptp.nat tptp.nat @t687 (tptp.hAPP @t237 tptp.nat @t799 @t401)))) % 0.87/1.67 (define @t1056 () (tptp.hAPP @t36 @t146 @t145 @t393)) % 0.87/1.67 (define @t1057 () (tptp.hAPP @t42 @t16 @t1056 @t442)) % 0.87/1.67 (define @t1058 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t549 @t1019))) % 0.87/1.67 (define @t1059 () (tptp.hAPP @t14 @t16 @t448 @t223)) % 0.87/1.67 (define @t1060 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1059 @t202))) % 0.87/1.67 (define @t1061 () (and @t1060 @t1058)) % 0.87/1.67 (define @t1062 () (tptp.hAPP @t16 @t73 @t553 @t1025)) % 0.87/1.67 (define @t1063 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t1001 @t428))) % 0.87/1.67 (define @t1064 () (tptp.hAPP @t33 @t73 @t499 @t395)) % 0.87/1.67 (define @t1065 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1064 @t401))) % 0.87/1.67 (define @t1066 () (tptp.hAPP @t33 @t144 @t1010 @t395)) % 0.87/1.67 (define @t1067 () (tptp.hAPP @t16 @t16 @t1066 @t401)) % 0.87/1.67 (define @t1068 () (@list @t14 @t395 @t401)) % 0.87/1.67 (define @t1069 () (= (tptp.hAPP @t16 @t16 @t1066 @t300) @t300)) % 0.87/1.67 (define @t1070 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1064 @t300))) % 0.87/1.67 (define @t1071 () (@list @t14 @t395)) % 0.87/1.67 (define @t1072 () (@var "X_4" $$unsorted)) % 0.87/1.67 (define @t1073 () (tptp.hAPP @t36 @t146 @t145 @t420)) % 0.87/1.67 (define @t1074 () (@var "F_2" $$unsorted)) % 0.87/1.67 (define @t1075 () (tptp.hAPP @t13 @t43 @t430 @t527)) % 0.87/1.67 (define @t1076 () (= @t576 @t608)) % 0.87/1.67 (define @t1077 () (@list @t13 @t14 @t393 @t395)) % 0.87/1.67 (define @t1078 () (@var "C_2" $$unsorted)) % 0.87/1.67 (define @t1079 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t741)) % 0.87/1.67 (define @t1080 () (tptp.hAPP tptp.nat @t253 @t978 @t318)) % 0.87/1.67 (define @t1081 () (tptp.hAPP tptp.nat @t237 @t1080 @t741)) % 0.87/1.67 (define @t1082 () (tptp.image tptp.nat tptp.nat)) % 0.87/1.67 (define @t1083 () (tptp.hAPP @t113 @t812 @t1082 tptp.suc)) % 0.87/1.67 (define @t1084 () (@list @t318 @t741)) % 0.87/1.67 (define @t1085 () (tptp.image tptp.nat @t14)) % 0.87/1.67 (define @t1086 () (tptp.fun @t237 @t16)) % 0.87/1.67 (define @t1087 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 @t741) @t686)) % 0.87/1.67 (define @t1088 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 @t318) @t686)) % 0.87/1.67 (define @t1089 () (tptp.hAPP @t113 @t812 @t1082 @t705)) % 0.87/1.67 (define @t1090 () (@list @t686 @t318 @t741)) % 0.87/1.67 (define @t1091 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t200 @t292))) % 0.87/1.67 (define @t1092 () (tptp.hBOOL (tptp.hAPP @t237 tptp.bool @t816 (tptp.hAPP tptp.nat @t237 @t979 @t328)))) % 0.87/1.67 (define @t1093 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t200 @t332))) % 0.87/1.67 (define @t1094 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t740 @t328))) % 0.87/1.67 (define @t1095 () (@list @t200 @t328)) % 0.87/1.67 (define @t1096 () (tptp.combc @t14 @t13 tptp.bool)) % 0.87/1.67 (define @t1097 () (tptp.hAPP @t16 @t16 @t654 @t401)) % 0.87/1.67 (define @t1098 () (tptp.hAPP @t781 @t144 @t784 (tptp.hAPP @t16 @t781 @t783 @t1097))) % 0.87/1.67 (define @t1099 () (tptp.hAPP @t237 @t237 @t777 (tptp.hAPP tptp.nat @t237 @t790 @t450))) % 0.87/1.67 (define @t1100 () (= @t627 (tptp.hAPP @t237 @t16 (tptp.hAPP @t115 @t1086 @t1085 @t1074) @t1099))) % 0.87/1.67 (define @t1101 () (@list @t450 @t1074)) % 0.87/1.67 (define @t1102 () (= @t384 @t608)) % 0.87/1.67 (define @t1103 () (tptp.ord_greaterThan tptp.nat)) % 0.87/1.67 (define @t1104 () (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 (tptp.hAPP @t14 @t14 @t893 @t202)) @t202)) % 0.87/1.67 (define @t1105 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1045 @t107))) % 0.87/1.67 (define @t1106 () (tptp.hAPP @t14 @t16 @t140 @t174)) % 0.87/1.67 (define @t1107 () (tptp.hAPP @t14 @t16 @t140 @t175)) % 0.87/1.67 (define @t1108 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t985 @t107))) % 0.87/1.67 (define @t1109 () (tptp.hAPP @t14 @t73 @t168 @t318)) % 0.87/1.67 (define @t1110 () (@list @t318 @t686)) % 0.87/1.67 (define @t1111 () (@var "F2" $$unsorted)) % 0.87/1.67 (define @t1112 () (tptp.hAPP @t115 @t115 (tptp.hAPP @t14 @t116 @t114 @t303) @t1111)) % 0.87/1.67 (define @t1113 () (tptp.ring_char_0 @t14)) % 0.87/1.67 (define @t1114 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t544 @t1019))) % 0.87/1.67 (define @t1115 () (and @t1060 @t1114)) % 0.87/1.67 (define @t1116 () (tptp.hAPP @t16 @t73 @t553 (tptp.hAPP @t14 @t16 (tptp.hAPP @t14 @t119 @t141 @t202) @t201))) % 0.87/1.67 (define @t1117 () (=> @t605 @t1061)) % 0.87/1.67 (define @t1118 () (tptp.hAPP @t16 @t73 @t553 (tptp.hAPP @t14 @t16 (tptp.hAPP @t14 @t119 @t142 @t202) @t201))) % 0.87/1.67 (define @t1119 () (tptp.hAPP @t16 @t18 (tptp.hAPP @t18 @t86 @t85 @t1032) @t428)) % 0.87/1.67 (define @t1120 () (= @t984 @t626)) % 0.87/1.67 (define @t1121 () (tptp.hAPP @t18 @t36 (tptp.hAPP @t16 @t75 @t74 @t401) @t395)) % 0.87/1.67 (define @t1122 () (tptp.ord_gr1471790799AtMost tptp.nat)) % 0.87/1.67 (define @t1123 () (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t1122 @t994) @t838)) % 0.87/1.67 (define @t1124 () (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 (tptp.ord_gr676655987ssThan tptp.nat) @t994) @t838)) % 0.87/1.67 (define @t1125 () (tptp.hAPP @t16 @t18 (tptp.hAPP @t18 @t86 @t85 @t395) @t401)) % 0.87/1.67 (define @t1126 () (tptp.hAPP @t13 @t14 @t1121 @t174)) % 0.87/1.67 (define @t1127 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t994)) % 0.87/1.67 (define @t1128 () (tptp.hAPP @t18 @t436 @t435 @t1125)) % 0.87/1.67 (define @t1129 () (forall @t298 (=> @t489 @t400))) % 0.87/1.67 (define @t1130 () (tptp.hAPP @t33 (tptp.fun @t16 @t33) (tptp.restrict @t14 @t14) @t32)) % 0.87/1.67 (define @t1131 () (tptp.fun @t18 @t33)) % 0.87/1.67 (define @t1132 () (tptp.hAPP @t16 @t83 @t80 @t401)) % 0.87/1.67 (define @t1133 () (tptp.hAPP @t23 @t18 (tptp.hAPP @t82 @t81 @t1132 @t393) @t395)) % 0.87/1.67 (define @t1134 () (tptp.ti @t1013 @t640)) % 0.87/1.67 (define @t1135 () (tptp.image @t14 @t21)) % 0.87/1.67 (define @t1136 () (tptp.fun @t16 @t1013)) % 0.87/1.67 (define @t1137 () (tptp.hAPP @t23 @t1136 @t1135 @t393)) % 0.87/1.67 (define @t1138 () (@var "X_d" $$unsorted)) % 0.87/1.67 (define @t1139 () (tptp.fun @t13 @t1138)) % 0.87/1.67 (define @t1140 () (tptp.fun @t25 @t1139)) % 0.87/1.67 (define @t1141 () (tptp.fun @t21 @t1138)) % 0.87/1.67 (define @t1142 () (tptp.fun @t14 @t1138)) % 0.87/1.67 (define @t1143 () (tptp.fun @t18 @t1142)) % 0.87/1.67 (define @t1144 () (tptp.hAPP @t18 @t23 (tptp.hAPP @t25 @t24 (tptp.hAPP @t16 @t26 (tptp.compose @t14 @t13 @t21) @t401) @t393) @t395)) % 0.87/1.67 (define @t1145 () (tptp.fun @t23 @t1142)) % 0.87/1.67 (define @t1146 () (@var "D_1" $$unsorted)) % 0.87/1.67 (define @t1147 () (tptp.fun @t1138 tptp.bool)) % 0.87/1.67 (define @t1148 () (tptp.fun @t21 @t1147)) % 0.87/1.67 (define @t1149 () (tptp.fun @t1141 tptp.bool)) % 0.87/1.67 (define @t1150 () (tptp.fun @t13 @t1013)) % 0.87/1.67 (define @t1151 () (tptp.fun @t25 tptp.bool)) % 0.87/1.67 (define @t1152 () (tptp.hBOOL (tptp.hAPP @t1151 tptp.bool (tptp.hAPP @t25 (tptp.fun @t1151 tptp.bool) (tptp.member @t25) @t393) (tptp.hAPP @t1150 @t1151 (tptp.hAPP @t42 (tptp.fun @t1150 @t1151) (tptp.pi @t13 @t21) @t428) (tptp.hAPP @t1013 @t1150 (tptp.combk @t1013 @t13) @t640))))) % 0.87/1.67 (define @t1153 () (tptp.fun @t14 @t1013)) % 0.87/1.67 (define @t1154 () (tptp.fun @t23 tptp.bool)) % 0.87/1.67 (define @t1155 () (tptp.fun @t33 @t18)) % 0.87/1.67 (define @t1156 () (tptp.hAPP @t16 @t78 @t84 @t401)) % 0.87/1.67 (define @t1157 () (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t753 @t1156))) % 0.87/1.67 (define @t1158 () (tptp.fun @t18 @t18)) % 0.87/1.67 (define @t1159 () (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t437 @t1156))) % 0.87/1.67 (define @t1160 () (@var "V_2" $$unsorted)) % 0.87/1.67 (define @t1161 () (@var "U_1" $$unsorted)) % 0.87/1.67 (define @t1162 () (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t94 @t1161) @t341)) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t94 @t1160) @t342))) % 0.87/1.67 (define @t1163 () (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 @t1161) @t1160) @t87)) % 0.87/1.67 (define @t1164 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t1160))) % 0.87/1.67 (define @t1165 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t1161))) % 0.87/1.67 (define @t1166 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t349 @t285))) % 0.87/1.67 (define @t1167 () (@list @t1160 @t1161 @t342 @t341 @t285)) % 0.87/1.67 (define @t1168 () (tptp.hAPP @t14 @t33 @t94 @t202)) % 0.87/1.67 (define @t1169 () (tptp.hAPP @t14 @t14 @t1168 @t201)) % 0.87/1.67 (define @t1170 () (tptp.times_times tptp.nat)) % 0.87/1.67 (define @t1171 () (tptp.hAPP tptp.nat @t113 @t1170 @t620)) % 0.87/1.67 (define @t1172 () (tptp.hAPP tptp.nat tptp.nat @t1171 @t620)) % 0.87/1.67 (define @t1173 () (tptp.hAPP tptp.nat @t113 @t1170 @t700)) % 0.87/1.67 (define @t1174 () (tptp.hAPP tptp.nat tptp.nat @t1173 @t617)) % 0.87/1.67 (define @t1175 () (tptp.hAPP tptp.nat @t113 @t1170 @t698)) % 0.87/1.67 (define @t1176 () (tptp.hAPP tptp.nat tptp.nat @t1175 @t617)) % 0.87/1.67 (define @t1177 () (tptp.hAPP tptp.nat @t237 @t334 @t1176)) % 0.87/1.67 (define @t1178 () (tptp.hAPP tptp.nat @t113 @t1170 @t617)) % 0.87/1.67 (define @t1179 () (tptp.hAPP tptp.nat tptp.nat @t1178 @t700)) % 0.87/1.67 (define @t1180 () (tptp.hAPP tptp.nat tptp.nat @t1178 @t698)) % 0.87/1.67 (define @t1181 () (@var "W" $$unsorted)) % 0.87/1.67 (define @t1182 () (tptp.hAPP @t14 @t33 @t94 @t175)) % 0.87/1.67 (define @t1183 () (tptp.hAPP @t14 @t33 @t94 @t1181)) % 0.87/1.67 (define @t1184 () (tptp.hAPP @t14 @t33 @t94 @t572)) % 0.87/1.67 (define @t1185 () (tptp.hAPP @t14 @t33 @t94 @t283)) % 0.87/1.67 (define @t1186 () (tptp.hAPP @t14 @t33 @t94 @t285)) % 0.87/1.67 (define @t1187 () (tptp.hAPP @t14 @t14 @t1186 @t620)) % 0.87/1.67 (define @t1188 () (tptp.hAPP @t14 @t33 @t89 @t1187)) % 0.87/1.67 (define @t1189 () (tptp.hAPP @t14 @t14 @t1185 @t362)) % 0.87/1.67 (define @t1190 () (tptp.hAPP @t14 @t14 @t1186 @t362)) % 0.87/1.67 (define @t1191 () (forall @t573 (= (tptp.hAPP @t14 @t14 @t1184 @t362) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 @t1190) @t1189)))) % 0.87/1.67 (define @t1192 () (tptp.hAPP @t14 @t33 @t94 @t201)) % 0.87/1.67 (define @t1193 () (tptp.hAPP @t14 @t14 @t1192 @t223)) % 0.87/1.67 (define @t1194 () (tptp.hAPP @t14 @t14 @t1168 @t223)) % 0.87/1.68 (define @t1195 () (tptp.hAPP @t14 @t33 @t94 @t341)) % 0.87/1.68 (define @t1196 () (tptp.hAPP @t14 @t14 @t1195 @t342)) % 0.87/1.68 (define @t1197 () (forall @t305 (= (tptp.hAPP @t14 @t14 @t1186 @t87) @t286))) % 0.87/1.68 (define @t1198 () (forall @t305 (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t94 @t87) @t285) @t286))) % 0.87/1.68 (define @t1199 () (tptp.hAPP @t14 @t14 @t1185 @t285)) % 0.87/1.68 (define @t1200 () (tptp.hAPP @t14 @t14 @t1186 @t283)) % 0.87/1.68 (define @t1201 () (@var "Ry" $$unsorted)) % 0.87/1.68 (define @t1202 () (@var "Lx" $$unsorted)) % 0.87/1.68 (define @t1203 () (tptp.hAPP @t14 @t33 @t94 @t1202)) % 0.87/1.68 (define @t1204 () (@var "Rx" $$unsorted)) % 0.87/1.68 (define @t1205 () (tptp.hAPP @t14 @t33 @t94 @t1204)) % 0.87/1.68 (define @t1206 () (tptp.hAPP @t14 @t14 @t1205 @t1201)) % 0.87/1.68 (define @t1207 () (tptp.hAPP @t14 @t14 @t1203 @t1206)) % 0.87/1.68 (define @t1208 () (@list @t1202 @t1204 @t1201)) % 0.87/1.68 (define @t1209 () (tptp.hAPP @t14 @t33 @t94 (tptp.hAPP @t14 @t14 @t1203 @t1204))) % 0.87/1.68 (define @t1210 () (@var "Ly" $$unsorted)) % 0.87/1.68 (define @t1211 () (tptp.hAPP @t14 @t33 @t94 @t1210)) % 0.87/1.68 (define @t1212 () (tptp.hAPP @t14 @t33 @t94 (tptp.hAPP @t14 @t14 @t1203 @t1210))) % 0.87/1.68 (define @t1213 () (tptp.hAPP @t14 @t14 @t1212 @t1204)) % 0.87/1.68 (define @t1214 () (@list @t1202 @t1210 @t1204)) % 0.87/1.68 (define @t1215 () (tptp.hAPP @t14 @t14 @t1212 @t1206)) % 0.87/1.68 (define @t1216 () (@list @t1202 @t1210 @t1204 @t1201)) % 0.87/1.68 (define @t1217 () (forall @t305 (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t94 @t101) @t285) @t101))) % 0.87/1.68 (define @t1218 () (forall @t305 (= (tptp.hAPP @t14 @t14 @t1186 @t101) @t101))) % 0.87/1.68 (define @t1219 () (= @t366 @t101)) % 0.87/1.68 (define @t1220 () (= @t286 @t101)) % 0.87/1.68 (define @t1221 () (= @t1200 @t101)) % 0.87/1.68 (define @t1222 () (and (= @t659 @t415) (= @t328 @t415))) % 0.87/1.68 (define @t1223 () (tptp.hAPP tptp.nat @t113 @t1170 @t659)) % 0.87/1.68 (define @t1224 () (tptp.hAPP tptp.nat tptp.nat @t1223 @t328)) % 0.87/1.68 (define @t1225 () (tptp.hAPP tptp.nat @t113 @t1170 @t616)) % 0.87/1.68 (define @t1226 () (tptp.hAPP tptp.nat tptp.nat @t1225 @t617)) % 0.87/1.68 (define @t1227 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t686)) % 0.87/1.68 (define @t1228 () (tptp.hAPP tptp.nat @t113 @t1170 @t1227)) % 0.87/1.68 (define @t1229 () (tptp.hAPP tptp.nat tptp.nat @t1228 @t328)) % 0.87/1.68 (define @t1230 () (tptp.hAPP tptp.nat tptp.nat @t1228 @t659)) % 0.87/1.68 (define @t1231 () (= @t686 @t839)) % 0.87/1.68 (define @t1232 () (or @t664 @t1231)) % 0.87/1.68 (define @t1233 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t1170 @t328) @t686)) % 0.87/1.68 (define @t1234 () (tptp.hAPP tptp.nat tptp.nat @t1223 @t686)) % 0.87/1.68 (define @t1235 () (tptp.hAPP tptp.nat @t113 @t1170 @t686)) % 0.87/1.68 (define @t1236 () (tptp.hAPP tptp.nat tptp.nat @t1235 @t328)) % 0.87/1.68 (define @t1237 () (tptp.hAPP tptp.nat tptp.nat @t1235 @t659)) % 0.87/1.68 (define @t1238 () (= @t1237 @t1236)) % 0.87/1.68 (define @t1239 () (tptp.comm_monoid_mult @t14)) % 0.87/1.68 (define @t1240 () (@var "E" $$unsorted)) % 0.87/1.68 (define @t1241 () (tptp.hAPP @t14 @t14 @t1186 @t285)) % 0.87/1.68 (define @t1242 () (tptp.linordered_ring @t14)) % 0.87/1.68 (define @t1243 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t549 @t101))) % 0.87/1.68 (define @t1244 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t201))) % 0.87/1.68 (define @t1245 () (tptp.linord581940658strict @t14)) % 0.87/1.68 (define @t1246 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t1200))) % 0.87/1.68 (define @t1247 () (tptp.ordere453448008miring @t14)) % 0.87/1.68 (define @t1248 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t1200) @t101))) % 0.87/1.68 (define @t1249 () (tptp.ordered_ring @t14)) % 0.87/1.68 (define @t1250 () (tptp.hAPP @t14 @t16 @t448 @t1190)) % 0.87/1.68 (define @t1251 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1250 @t1189))) % 0.87/1.68 (define @t1252 () (tptp.ordered_semiring @t14)) % 0.87/1.68 (define @t1253 () (tptp.hAPP @t14 @t33 @t94 @t362)) % 0.87/1.68 (define @t1254 () (tptp.hAPP @t14 @t14 @t1253 @t283)) % 0.87/1.68 (define @t1255 () (tptp.hAPP @t14 @t14 @t1253 @t285)) % 0.87/1.68 (define @t1256 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t1255) @t1254))) % 0.87/1.68 (define @t1257 () (forall @t375 (=> @t472 (=> @t867 @t1256)))) % 0.87/1.68 (define @t1258 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t466 @t101))) % 0.87/1.68 (define @t1259 () (tptp.hAPP @t14 @t14 @t1185 @t516)) % 0.87/1.68 (define @t1260 () (=> @t867 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1250 @t1259)))) % 0.87/1.68 (define @t1261 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1022 @t101))) % 0.87/1.68 (define @t1262 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t881 @t223))) % 0.87/1.68 (define @t1263 () (or (and @t1262 @t605) (and @t1261 @t545))) % 0.87/1.68 (define @t1264 () (tptp.hAPP @t14 @t33 @t94 @t223)) % 0.87/1.68 (define @t1265 () (tptp.hAPP @t14 @t14 @t1264 @t201)) % 0.87/1.68 (define @t1266 () (tptp.hAPP @t14 @t14 @t1264 @t202)) % 0.87/1.68 (define @t1267 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t1266) @t1265))) % 0.87/1.68 (define @t1268 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t881 @t1200))) % 0.87/1.68 (define @t1269 () (tptp.linord20386208strict @t14)) % 0.87/1.68 (define @t1270 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t1200) @t101))) % 0.87/1.68 (define @t1271 () (=> @t882 @t884)) % 0.87/1.68 (define @t1272 () (tptp.hAPP @t14 @t16 @t118 @t1190)) % 0.87/1.68 (define @t1273 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1272 @t1189))) % 0.87/1.68 (define @t1274 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t881 @t362))) % 0.87/1.68 (define @t1275 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t1255) @t1254))) % 0.87/1.68 (define @t1276 () (forall @t375 (=> @t374 (=> @t1274 @t1275)))) % 0.87/1.68 (define @t1277 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t363 @t101))) % 0.87/1.68 (define @t1278 () (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 (tptp.hAPP @t14 @t14 @t1182 @t175)) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t94 @t174) @t174))) % 0.87/1.68 (define @t1279 () (@var "R_3" $$unsorted)) % 0.87/1.68 (define @t1280 () (tptp.hAPP @t14 @t33 @t94 @t1279)) % 0.87/1.68 (define @t1281 () (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t94 @t514) @t620)) % 0.87/1.68 (define @t1282 () (tptp.hAPP @t14 @t33 @t89 @t620)) % 0.87/1.68 (define @t1283 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t852 @t617))) % 0.87/1.68 (define @t1284 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t852 @t686))) % 0.87/1.68 (define @t1285 () (and @t1284 @t663)) % 0.87/1.68 (define @t1286 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t1237) @t1236))) % 0.87/1.68 (define @t1287 () (tptp.hAPP tptp.nat tptp.nat @t1171 @t616)) % 0.87/1.68 (define @t1288 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t1266) @t1265))) % 0.87/1.68 (define @t1289 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1272 @t1259))) % 0.87/1.68 (define @t1290 () (=> @t867 @t1289)) % 0.87/1.68 (define @t1291 () (=> @t867 @t374)) % 0.87/1.68 (define @t1292 () (forall @t595 (=> @t1273 @t1291))) % 0.87/1.68 (define @t1293 () (tptp.linordered_semiring @t14)) % 0.87/1.68 (define @t1294 () (forall @t375 (=> @t1275 @t1291))) % 0.87/1.68 (define @t1295 () (=> @t1274 @t472)) % 0.87/1.68 (define @t1296 () (tptp.hAPP @t14 @t33 @t94 @t342)) % 0.87/1.68 (define @t1297 () (tptp.hAPP @t14 @t14 @t1195 @t341)) % 0.87/1.68 (define @t1298 () (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 @t1297) (tptp.hAPP @t14 @t14 @t1296 @t342))) % 0.87/1.68 (define @t1299 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t455 @t87))) % 0.87/1.68 (define @t1300 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t342))) % 0.87/1.68 (define @t1301 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t341))) % 0.87/1.68 (define @t1302 () (tptp.hAPP tptp.nat @t237 @t236 @t902)) % 0.87/1.68 (define @t1303 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1302 @t620))) % 0.87/1.68 (define @t1304 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1302 @t616))) % 0.87/1.68 (define @t1305 () (tptp.hAPP tptp.nat tptp.nat @t1225 @t620)) % 0.87/1.68 (define @t1306 () (tptp.hAPP tptp.nat @t237 @t334 @t902)) % 0.87/1.68 (define @t1307 () (=> @t1284 @t729)) % 0.87/1.68 (define @t1308 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 @t1237) @t1236))) % 0.87/1.68 (define @t1309 () (tptp.one_one @t13)) % 0.87/1.68 (define @t1310 () (tptp.times_times @t13)) % 0.87/1.68 (define @t1311 () (tptp.finite_fold_image @t13 @t14)) % 0.87/1.68 (define @t1312 () (tptp.fun @t13 @t17)) % 0.87/1.68 (define @t1313 () (tptp.fun @t18 @t1312)) % 0.87/1.68 (define @t1314 () (tptp.fun @t13 @t51)) % 0.87/1.68 (define @t1315 () (tptp.hAPP @t1314 @t1313 @t1311 @t1310)) % 0.87/1.68 (define @t1316 () (tptp.hAPP @t18 @t1312 @t1315 @t989)) % 0.87/1.68 (define @t1317 () (tptp.hAPP @t18 @t1312 @t1315 @t393)) % 0.87/1.68 (define @t1318 () (tptp.hAPP @t13 @t17 @t1317 @t1309)) % 0.87/1.68 (define @t1319 () (tptp.hAPP @t13 @t51 @t1310 (tptp.hAPP @t16 @t13 @t1318 @t401))) % 0.87/1.68 (define @t1320 () (tptp.combb @t13 @t51 @t14)) % 0.87/1.68 (define @t1321 () (tptp.fun @t18 @t54)) % 0.87/1.68 (define @t1322 () (tptp.combs @t14 @t13 @t13)) % 0.87/1.68 (define @t1323 () (@list @t393 @t989 @t401)) % 0.87/1.68 (define @t1324 () (tptp.comm_monoid_mult @t13)) % 0.87/1.68 (define @t1325 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t449 @t285))) % 0.87/1.68 (define @t1326 () (@var "Z_2" $$unsorted)) % 0.87/1.68 (define @t1327 () (tptp.hAPP @t13 @t17 (tptp.hAPP @t18 @t1312 @t1315 @t395) @t1309)) % 0.87/1.68 (define @t1328 () (tptp.hAPP @t16 @t13 @t1327 @t410)) % 0.87/1.68 (define @t1329 () (= @t399 @t1309)) % 0.87/1.68 (define @t1330 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t488 @t410))) % 0.87/1.68 (define @t1331 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t764 @t410))) % 0.87/1.68 (define @t1332 () (tptp.hAPP @t14 @t13 @t989 @t292)) % 0.87/1.68 (define @t1333 () (@list @t659 @t328 @t686)) % 0.87/1.68 (define @t1334 () (@var "Ea" $$unsorted)) % 0.87/1.68 (define @t1335 () (tptp.hAPP @t49 @t48 @t45 @t94)) % 0.87/1.68 (define @t1336 () (tptp.hAPP @t13 @t14 @t989 @t292)) % 0.87/1.68 (define @t1337 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t1016 @t410))) % 0.87/1.68 (define @t1338 () (forall @t298 (=> @t1337 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t411 @t1336) @t512))))) % 0.87/1.68 (define @t1339 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t41 @t410))) % 0.87/1.68 (define @t1340 () (@var "Y2" $$unsorted)) % 0.87/1.68 (define @t1341 () (@var "X2" $$unsorted)) % 0.87/1.68 (define @t1342 () (@var "Y1" $$unsorted)) % 0.87/1.68 (define @t1343 () (and (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t411 @t274) @t1341)) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t411 @t1342) @t1340)))) % 0.87/1.68 (define @t1344 () (@list @t274 @t1342 @t1341 @t1340)) % 0.87/1.68 (define @t1345 () (@var "T_3" $$unsorted)) % 0.87/1.68 (define @t1346 () (tptp.times_times @t21)) % 0.87/1.68 (define @t1347 () (tptp.fun @t42 @t21)) % 0.87/1.68 (define @t1348 () (tptp.fun @t21 @t1347)) % 0.87/1.68 (define @t1349 () (tptp.fun @t21 (tptp.fun @t21 @t21))) % 0.87/1.68 (define @t1350 () (tptp.hAPP @t25 @t1348 (tptp.hAPP @t1349 (tptp.fun @t25 @t1348) (tptp.finite_fold_image @t21 @t13) @t1346) @t393)) % 0.87/1.68 (define @t1351 () (tptp.fun @t16 @t21)) % 0.87/1.68 (define @t1352 () (tptp.fun @t21 @t1351)) % 0.87/1.68 (define @t1353 () (tptp.hAPP @t1349 (tptp.fun @t23 @t1352) (tptp.finite_fold_image @t21 @t14) @t1346)) % 0.87/1.68 (define @t1354 () (tptp.ti @t13 @t527)) % 0.87/1.68 (define @t1355 () (tptp.hAPP @t13 @t14 @t686 @t527)) % 0.87/1.68 (define @t1356 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t1075 @t1345))) % 0.87/1.68 (define @t1357 () (@list @t13 @t14 @t21)) % 0.87/1.68 (define @t1358 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t200 @t292))) % 0.87/1.68 (define @t1359 () (forall @t298 (=> @t1358 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t645 @t292))))) % 0.87/1.68 (define @t1360 () (tptp.comp @t13 @t21 @t14)) % 0.87/1.68 (define @t1361 () (tptp.hAPP @t25 @t24 @t1360 @t393)) % 0.87/1.68 (define @t1362 () (@var "Nat" $$unsorted)) % 0.87/1.68 (define @t1363 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t1362)) % 0.87/1.68 (define @t1364 () (@list @t1362)) % 0.87/1.68 (define @t1365 () (tptp.top_top @t1013)) % 0.87/1.68 (define @t1366 () (tptp.hAPP @t23 @t69 @t68 @t393)) % 0.87/1.68 (define @t1367 () (tptp.hAPP @t132 @t82 (tptp.hAPP @t18 (tptp.fun @t132 @t82) (tptp.comp @t14 @t13 @t21) @t395) @t393)) % 0.87/1.68 (define @t1368 () (tptp.inj_on @t21 @t13)) % 0.87/1.68 (define @t1369 () (tptp.fun @t1013 tptp.bool)) % 0.87/1.68 (define @t1370 () (tptp.hAPP @t132 @t1369 (tptp.inj_on @t21 @t14) @t393)) % 0.87/1.68 (define @t1371 () (@list @t21 @t14 @t13 @t393 @t395)) % 0.87/1.68 (define @t1372 () (tptp.hAPP @t23 @t1136 @t1135 @t395)) % 0.87/1.68 (define @t1373 () (tptp.comp @t21 @t13 @t14)) % 0.87/1.68 (define @t1374 () (tptp.inj_on @t14 @t21)) % 0.87/1.68 (define @t1375 () (tptp.inj_on @t13 @t21)) % 0.87/1.68 (define @t1376 () (@var "F_1" $$unsorted)) % 0.87/1.68 (define @t1377 () (@var "R_1" $$unsorted)) % 0.87/1.68 (define @t1378 () (tptp.hAPP @t82 @t81 @t1373 @t395)) % 0.87/1.68 (define @t1379 () (tptp.fun @t1138 @t13)) % 0.87/1.68 (define @t1380 () (tptp.fun @t1138 @t21)) % 0.87/1.68 (define @t1381 () (tptp.comp @t1138 @t13 @t14)) % 0.87/1.68 (define @t1382 () (tptp.fun @t1142 @t18)) % 0.87/1.68 (define @t1383 () (tptp.hAPP @t13 @t14 @t395 (tptp.hAPP @t21 @t13 @t393 @t175))) % 0.87/1.68 (define @t1384 () (tptp.hAPP @t21 @t14 (tptp.hAPP @t82 @t132 (tptp.hAPP @t36 @t1011 (tptp.comp @t13 @t14 @t21) @t395) @t393) @t175)) % 0.87/1.68 (define @t1385 () (@var "V" $$unsorted)) % 0.87/1.68 (define @t1386 () (tptp.hAPP @t21 @t13 @t202 (tptp.hAPP @t14 @t21 @t201 @t1385))) % 0.87/1.68 (define @t1387 () (tptp.hAPP @t23 @t18 (tptp.hAPP @t82 @t81 @t1373 @t202) @t201)) % 0.87/1.68 (define @t1388 () (= @t1387 (tptp.hAPP @t1142 @t18 (tptp.hAPP @t1379 @t1382 @t1381 @t223) @t1019))) % 0.87/1.68 (define @t1389 () (@var "V_1" $$unsorted)) % 0.87/1.68 (define @t1390 () (@var "X_3" $$unsorted)) % 0.87/1.68 (define @t1391 () (@var "G_2" $$unsorted)) % 0.87/1.68 (define @t1392 () (@var "X_e" $$unsorted)) % 0.87/1.68 (define @t1393 () (tptp.fun @t1392 @t14)) % 0.87/1.68 (define @t1394 () (tptp.fun @t1392 @t1138)) % 0.87/1.68 (define @t1395 () (tptp.hAPP @t1013 @t16 (tptp.hAPP @t132 @t1014 @t1012 @t393) @t401)) % 0.87/1.68 (define @t1396 () (tptp.fun @t132 @t23)) % 0.87/1.68 (define @t1397 () (tptp.fun @t82 @t25)) % 0.87/1.68 (define @t1398 () (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t836 (tptp.hAPP @t16 @t42 @t998 @t1395)))) % 0.87/1.68 (define @t1399 () (tptp.hBOOL (tptp.hAPP @t1013 tptp.bool @t1370 @t401))) % 0.87/1.68 (define @t1400 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t424 @t1395))) % 0.87/1.68 (define @t1401 () (@list @t14 @t13 @t21 @t175 @t395 @t393 @t401)) % 0.87/1.68 (define @t1402 () (tptp.fun @t42 @t42)) % 0.87/1.68 (define @t1403 () (tptp.hAPP @t36 @t46 @t290 @t393)) % 0.87/1.68 (define @t1404 () (tptp.hBOOL (tptp.hAPP @t56 tptp.bool (tptp.hAPP @t14 @t57 (tptp.hAPP @t49 @t58 @t55 @t395) @t182) @t290))) % 0.87/1.68 (define @t1405 () (@list @t13 @t14 @t393 @t989 @t401 @t395 @t182 @t290)) % 0.87/1.68 (define @t1406 () (tptp.hAPP @t36 @t46 @t290 @t989)) % 0.87/1.68 (define @t1407 () (tptp.hAPP @t42 @t14 @t1406 @t401)) % 0.87/1.68 (define @t1408 () (tptp.hAPP @t42 @t14 @t1403 @t401)) % 0.87/1.68 (define @t1409 () (tptp.combb @t14 @t33 @t13)) % 0.87/1.68 (define @t1410 () (tptp.fun @t13 @t33)) % 0.87/1.68 (define @t1411 () (tptp.fun @t36 @t1410)) % 0.87/1.68 (define @t1412 () (tptp.combs @t13 @t14 @t14)) % 0.87/1.68 (define @t1413 () (tptp.fun @t36 @t36)) % 0.87/1.68 (define @t1414 () (tptp.hAPP @t16 @t51 @t290 @t401)) % 0.87/1.68 (define @t1415 () (tptp.comp @t13 @t13 @t13)) % 0.87/1.68 (define @t1416 () (tptp.fun @t51 @t51)) % 0.87/1.68 (define @t1417 () (tptp.hAPP @t51 @t1416 @t1415 @t1414)) % 0.87/1.68 (define @t1418 () (tptp.hAPP @t51 @t51 @t1417 (tptp.hAPP @t16 @t51 @t290 @t428))) % 0.87/1.68 (define @t1419 () (tptp.hBOOL (tptp.hAPP @t52 tptp.bool (tptp.hAPP @t54 @t53 @t50 @t395) @t290))) % 0.87/1.68 (define @t1420 () (@list @t14 @t13 @t428 @t401 @t395 @t290)) % 0.87/1.68 (define @t1421 () (tptp.hAPP @t14 tptp.nat @t395 @t174)) % 0.87/1.68 (define @t1422 () (tptp.hAPP @t14 tptp.nat @t395 @t175)) % 0.87/1.68 (define @t1423 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t1422) @t1421))) % 0.87/1.68 (define @t1424 () (tptp.hAPP @t156 (tptp.fun @t157 tptp.bool) (tptp.member @t156) (tptp.hAPP @t14 @t156 (tptp.hAPP @t14 (tptp.fun @t14 @t156) (tptp.product_Pair @t14 @t14) @t175) @t174))) % 0.87/1.68 (define @t1425 () (tptp.hAPP @t14 @t51 @t395 @t175)) % 0.87/1.68 (define @t1426 () (tptp.hAPP @t51 (tptp.fun @t82 @t82) (tptp.comp @t13 @t13 @t21) @t1425)) % 0.87/1.68 (define @t1427 () (tptp.hAPP @t82 @t82 @t1426 @t393)) % 0.87/1.68 (define @t1428 () (tptp.hBOOL (tptp.hAPP @t157 tptp.bool @t1424 (tptp.hAPP @t157 @t157 (tptp.hAPP @t158 @t160 @t159 @t395) @t411)))) % 0.87/1.68 (define @t1429 () (@list @t14 @t411 @t395 @t175 @t174)) % 0.87/1.68 (define @t1430 () (tptp.hAPP @t13 @t13 @t989 @t292)) % 0.87/1.68 (define @t1431 () (tptp.hAPP @t13 @t13 @t686 @t527)) % 0.87/1.68 (define @t1432 () (tptp.hAPP @t14 @t16 (tptp.hAPP @t14 @t119 @t135 @t223) @t1019)) % 0.87/1.68 (define @t1433 () (tptp.ord_atLeastAtMost tptp.nat)) % 0.87/1.68 (define @t1434 () (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t1433 @t994) @t838)) % 0.87/1.68 (define @t1435 () (not @t598)) % 0.87/1.68 (define @t1436 () (tptp.hAPP @t14 @t16 (tptp.hAPP @t14 @t119 @t135 @t202) @t201)) % 0.87/1.68 (define @t1437 () (tptp.hAPP @t16 @t73 @t553 @t1436)) % 0.87/1.68 (define @t1438 () (tptp.hAPP tptp.nat @t253 @t1433 @t839)) % 0.87/1.68 (define @t1439 () (tptp.hBOOL (tptp.hAPP @t237 tptp.bool @t816 (tptp.hAPP tptp.nat @t237 @t1438 @t328)))) % 0.87/1.68 (define @t1440 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t335 @t328))) % 0.87/1.68 (define @t1441 () (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t1433 @t318) @t741)) % 0.87/1.68 (define @t1442 () (tptp.hAPP @t14 @t119 @t141 @t994)) % 0.87/1.68 (define @t1443 () (tptp.hAPP @t14 @t16 @t1442 @t838)) % 0.87/1.68 (define @t1444 () (tptp.hAPP @t14 @t16 (tptp.hAPP @t14 @t119 @t135 @t659) @t838)) % 0.87/1.68 (define @t1445 () (tptp.hAPP @t14 @t119 @t142 @t994)) % 0.87/1.68 (define @t1446 () (tptp.semilattice_sup_sup @t16)) % 0.87/1.68 (define @t1447 () (tptp.hAPP @t16 @t144 @t1446 (tptp.hAPP @t14 @t16 @t1445 @t659))) % 0.87/1.68 (define @t1448 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t659) @t838))) % 0.87/1.68 (define @t1449 () (tptp.hAPP @t14 @t16 @t118 @t994)) % 0.87/1.68 (define @t1450 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1449 @t659))) % 0.87/1.68 (define @t1451 () (@list @t838 @t994 @t659)) % 0.87/1.68 (define @t1452 () (tptp.hAPP @t14 @t119 @t138 @t994)) % 0.87/1.68 (define @t1453 () (tptp.hAPP @t14 @t16 @t1452 @t838)) % 0.87/1.68 (define @t1454 () (tptp.hAPP @t14 @t16 (tptp.hAPP @t14 @t119 @t142 @t659) @t838)) % 0.87/1.68 (define @t1455 () (tptp.hAPP @t14 @t119 @t135 @t994)) % 0.87/1.68 (define @t1456 () (tptp.hAPP @t16 @t144 @t1446 (tptp.hAPP @t14 @t16 @t1455 @t659))) % 0.87/1.68 (define @t1457 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t659) @t838))) % 0.87/1.68 (define @t1458 () (tptp.hAPP @t14 @t16 @t448 @t994)) % 0.87/1.68 (define @t1459 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1458 @t659))) % 0.87/1.68 (define @t1460 () (tptp.hAPP @t16 @t144 @t1446 @t401)) % 0.87/1.68 (define @t1461 () (tptp.hAPP @t16 @t16 @t1460 @t428)) % 0.87/1.68 (define @t1462 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t632 @t1461))) % 0.87/1.68 (define @t1463 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t428 @t175))) % 0.87/1.68 (define @t1464 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1461 @t175))) % 0.87/1.68 (define @t1465 () (@list @t14 @t401 @t428 @t175)) % 0.87/1.68 (define @t1466 () (not @t1463)) % 0.87/1.68 (define @t1467 () (not @t633)) % 0.87/1.68 (define @t1468 () (@list @t14 @t401 @t223 @t428)) % 0.87/1.68 (define @t1469 () (tptp.hAPP @t14 @t16 (tptp.hAPP @t14 @t119 @t141 @t659) @t838)) % 0.87/1.68 (define @t1470 () (tptp.hAPP @t16 @t144 @t1446 (tptp.hAPP @t14 @t16 @t1442 @t659))) % 0.87/1.68 (define @t1471 () (tptp.hAPP @t14 @t16 (tptp.hAPP @t14 @t119 @t138 @t659) @t838)) % 0.87/1.68 (define @t1472 () (tptp.hAPP @t16 @t144 @t1446 (tptp.hAPP @t14 @t16 @t1452 @t659))) % 0.87/1.68 (define @t1473 () (tptp.hAPP @t42 @t16 @t983 @t428)) % 0.87/1.68 (define @t1474 () (tptp.hAPP @t42 @t42 (tptp.hAPP @t42 @t1402 (tptp.semilattice_sup_sup @t42) @t401) @t428)) % 0.87/1.68 (define @t1475 () (= @t1461 @t626)) % 0.87/1.68 (define @t1476 () (tptp.hAPP @t16 @t73 @t553 @t1461)) % 0.87/1.68 (define @t1477 () (tptp.hAPP @t16 @t144 @t1446 @t640)) % 0.87/1.68 (define @t1478 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t629 @t1146))) % 0.87/1.68 (define @t1479 () (@list @t14 @t428 @t1146 @t401 @t640)) % 0.87/1.68 (define @t1480 () (@var "G_1" $$unsorted)) % 0.87/1.68 (define @t1481 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t764 (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1446 @t290) @t1480)))) % 0.87/1.68 (define @t1482 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t764 @t1480))) % 0.87/1.68 (define @t1483 () (@list @t14 @t1480 @t290)) % 0.87/1.68 (define @t1484 () (tptp.hAPP @t16 @t16 @t654 @t428)) % 0.87/1.68 (define @t1485 () (tptp.hAPP @t16 @t144 @t1446 @t428)) % 0.87/1.68 (define @t1486 () (tptp.hAPP @t16 @t16 @t1485 @t401)) % 0.87/1.68 (define @t1487 () (tptp.hAPP @t16 @t16 @t1460 @t640)) % 0.87/1.68 (define @t1488 () (tptp.hAPP @t16 @t16 @t1485 @t640)) % 0.87/1.68 (define @t1489 () (tptp.hAPP @t16 @t16 @t1460 @t1488)) % 0.87/1.68 (define @t1490 () (@list @t14 @t401 @t428 @t640)) % 0.87/1.68 (define @t1491 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t488 @t1461))) % 0.87/1.68 (define @t1492 () (@list @t14 @t200 @t401 @t428)) % 0.87/1.68 (define @t1493 () (@list @t14 @t428 @t401 @t175)) % 0.87/1.68 (define @t1494 () (@list @t14 @t428 @t223 @t401)) % 0.87/1.68 (define @t1495 () (@list @t14 @t411 @t410 @t292)) % 0.87/1.68 (define @t1496 () (@list @t14 @t428)) % 0.87/1.68 (define @t1497 () (tptp.hAPP @t14 @t16 @t1455 @t838)) % 0.87/1.68 (define @t1498 () (tptp.hAPP @t14 @t16 @t140 @t994)) % 0.87/1.68 (define @t1499 () (tptp.hAPP @t14 @t16 @t140 @t838)) % 0.87/1.68 (define @t1500 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1458 @t838))) % 0.87/1.68 (define @t1501 () (tptp.hAPP @t14 @t16 @t1445 @t838)) % 0.87/1.68 (define @t1502 () (@list @t395 @t393 @t175)) % 0.87/1.68 (define @t1503 () (tptp.lattice @t14)) % 0.87/1.68 (define @t1504 () (@list @t395 @t393 @t292)) % 0.87/1.68 (define @t1505 () (tptp.lattice @t13)) % 0.87/1.68 (define @t1506 () (tptp.fun @t66 @t66)) % 0.87/1.68 (define @t1507 () (tptp.semilattice_sup_sup @t64)) % 0.87/1.68 (define @t1508 () (tptp.fun @t64 @t64)) % 0.87/1.68 (define @t1509 () (@list @t13 @t14 @t411 @t410 @t292 @t289)) % 0.87/1.68 (define @t1510 () (tptp.ab_sem1668676832m_mult @t14)) % 0.87/1.68 (define @t1511 () (tptp.hAPP @t14 @t33 @t111 @t285)) % 0.87/1.68 (define @t1512 () (tptp.hAPP @t14 @t33 @t111 @t341)) % 0.87/1.68 (define @t1513 () (forall @t392 (= (tptp.hAPP @t14 @t14 @t1512 @t341) @t346))) % 0.87/1.68 (define @t1514 () (tptp.hAPP @t14 @t33 @t111 @t283)) % 0.87/1.68 (define @t1515 () (tptp.hAPP @t14 @t14 @t1511 @t283)) % 0.87/1.68 (define @t1516 () (tptp.hAPP @t14 @t33 @t111 @t342)) % 0.87/1.68 (define @t1517 () (tptp.hAPP @t14 @t14 @t1516 @t341)) % 0.87/1.68 (define @t1518 () (tptp.hAPP @t14 @t14 @t1512 @t342)) % 0.87/1.68 (define @t1519 () (forall @t352 (= @t1518 @t1517))) % 0.87/1.68 (define @t1520 () (forall @t352 (= (tptp.hAPP @t14 @t14 @t1512 @t1518) @t1518))) % 0.87/1.68 (define @t1521 () (tptp.hAPP @t14 @t14 @t1511 (tptp.hAPP @t14 @t14 @t1514 @t362))) % 0.87/1.68 (define @t1522 () (tptp.hAPP @t14 @t14 @t1512 @t354)) % 0.87/1.68 (define @t1523 () (tptp.hAPP @t14 @t14 @t1516 @t354)) % 0.87/1.68 (define @t1524 () (tptp.hAPP @t14 @t14 @t1512 @t1523)) % 0.87/1.68 (define @t1525 () (forall @t684 (= @t1524 (tptp.hAPP @t14 @t14 @t1516 @t1522)))) % 0.87/1.68 (define @t1526 () (forall @t684 (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t111 @t1518) @t354) @t1524))) % 0.87/1.68 (define @t1527 () (forall @t352 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t449 @t1518)))) % 0.87/1.68 (define @t1528 () (forall @t463 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t455 @t1518)))) % 0.87/1.68 (define @t1529 () (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t111 @t175) @t174)) % 0.87/1.68 (define @t1530 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t474 @t182))) % 0.87/1.68 (define @t1531 () (@list @t175 @t174 @t182)) % 0.87/1.68 (define @t1532 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t449 @t1515))) % 0.87/1.68 (define @t1533 () (@list @t283 @t341 @t285)) % 0.87/1.68 (define @t1534 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t449 @t283))) % 0.87/1.68 (define @t1535 () (@list @t285 @t341 @t283)) % 0.87/1.68 (define @t1536 () (tptp.hAPP @t14 @t16 @t448 @t1515)) % 0.87/1.68 (define @t1537 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1536 @t341))) % 0.87/1.68 (define @t1538 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t468 @t341))) % 0.87/1.68 (define @t1539 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t470 @t341))) % 0.87/1.68 (define @t1540 () (@list @t283 @t285 @t341)) % 0.87/1.68 (define @t1541 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t468 @t516))) % 0.87/1.68 (define @t1542 () (@list @t283 @t516 @t285 @t362)) % 0.87/1.68 (define @t1543 () (@list @t285 @t283 @t341)) % 0.87/1.68 (define @t1544 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t349 @t1515))) % 0.87/1.68 (define @t1545 () (tptp.bounded_lattice_top @t14)) % 0.87/1.68 (define @t1546 () (tptp.hAPP @t14 @t16 @t134 @t838)) % 0.87/1.68 (define @t1547 () (tptp.hAPP @t14 @t16 @t134 @t994)) % 0.87/1.68 (define @t1548 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t429 @t174))) % 0.87/1.68 (define @t1549 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t14 @t42 @t401 @t175) @t174))) % 0.87/1.68 (define @t1550 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t14 @t42 (tptp.hAPP @t64 @t64 (tptp.hAPP @t64 @t1508 @t1507 @t401) @t428) @t175) @t174))) % 0.87/1.68 (define @t1551 () (@list @t13 @t14 @t401 @t428 @t175 @t174)) % 0.87/1.68 (define @t1552 () (not @t1548)) % 0.87/1.68 (define @t1553 () (@list @t13 @t14 @t428 @t401 @t175 @t174)) % 0.87/1.68 (define @t1554 () (tptp.hAPP @t14 @t16 @t134 @t174)) % 0.87/1.68 (define @t1555 () (tptp.hAPP @t14 @t16 @t134 @t175)) % 0.87/1.68 (define @t1556 () (tptp.ord_atLeast tptp.nat)) % 0.87/1.68 (define @t1557 () (tptp.semilattice_inf_inf @t16)) % 0.87/1.68 (define @t1558 () (tptp.hAPP @t16 @t144 @t1557 @t401)) % 0.87/1.68 (define @t1559 () (tptp.hAPP @t16 @t16 @t1558 @t428)) % 0.87/1.68 (define @t1560 () (@list @t393 @t428 @t401)) % 0.87/1.68 (define @t1561 () (@var "P_1" $$unsorted)) % 0.87/1.68 (define @t1562 () (tptp.hAPP tptp.nat tptp.nat @t691 @t1561)) % 0.87/1.68 (define @t1563 () (tptp.hAPP tptp.nat tptp.nat @t691 @t415)) % 0.87/1.68 (define @t1564 () (tptp.big_co1399186613setsum tptp.nat @t14)) % 0.87/1.68 (define @t1565 () (tptp.fun @t237 @t14)) % 0.87/1.68 (define @t1566 () (tptp.hAPP @t115 @t1565 @t1564 @t395)) % 0.87/1.68 (define @t1567 () (tptp.hAPP tptp.nat @t253 @t1433 @t659)) % 0.87/1.68 (define @t1568 () (tptp.hAPP tptp.nat @t237 @t1567 @t328)) % 0.87/1.68 (define @t1569 () (tptp.hAPP @t237 @t14 @t1566 @t1568)) % 0.87/1.68 (define @t1570 () (tptp.hAPP @t14 @t33 @t89 @t1569)) % 0.87/1.68 (define @t1571 () (@list @t395 @t1561 @t659 @t328)) % 0.87/1.68 (define @t1572 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1559 @t175))) % 0.87/1.68 (define @t1573 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t632 @t1559))) % 0.87/1.68 (define @t1574 () (tptp.hAPP @t14 @t33 @t109 @t341)) % 0.87/1.68 (define @t1575 () (tptp.hAPP @t14 @t14 @t1574 @t1523)) % 0.87/1.68 (define @t1576 () (tptp.hAPP @t14 @t14 @t1574 @t354)) % 0.87/1.68 (define @t1577 () (tptp.hAPP @t14 @t14 @t1574 @t342)) % 0.87/1.68 (define @t1578 () (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t111 @t1577) @t1576)) % 0.87/1.68 (define @t1579 () (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t109 @t1518) @t1522)) % 0.87/1.68 (define @t1580 () (tptp.hAPP @t14 @t33 @t109 @t342)) % 0.87/1.68 (define @t1581 () (tptp.hAPP @t14 @t14 @t1580 @t354)) % 0.87/1.68 (define @t1582 () (tptp.hAPP @t14 @t14 @t1512 @t1581)) % 0.87/1.68 (define @t1583 () (tptp.hAPP @t16 @t73 @t553 @t640)) % 0.87/1.68 (define @t1584 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1583 @t401))) % 0.87/1.68 (define @t1585 () (tptp.hAPP @t16 @t16 @t1558 @t1488)) % 0.87/1.68 (define @t1586 () (tptp.hAPP @t16 @t144 @t1446 @t1559)) % 0.87/1.68 (define @t1587 () (@list @t342 @t354 @t341)) % 0.87/1.68 (define @t1588 () (tptp.distrib_lattice @t14)) % 0.87/1.68 (define @t1589 () (tptp.hAPP @t14 @t14 @t1580 @t341)) % 0.87/1.68 (define @t1590 () (tptp.hAPP @t16 @t16 @t1558 @t640)) % 0.87/1.68 (define @t1591 () (tptp.hAPP @t16 @t144 @t1557 @t1461)) % 0.87/1.68 (define @t1592 () (tptp.hAPP @t16 @t144 @t1557 @t428)) % 0.87/1.68 (define @t1593 () (tptp.hAPP @t16 @t16 @t1592 @t640)) % 0.87/1.68 (define @t1594 () (tptp.hAPP @t16 @t144 @t1557 @t640)) % 0.87/1.68 (define @t1595 () (tptp.hAPP @t16 @t16 @t1594 @t401)) % 0.87/1.68 (define @t1596 () (tptp.hAPP @t16 @t16 @t1592 @t401)) % 0.87/1.68 (define @t1597 () (@list @t14 @t428 @t640 @t401)) % 0.87/1.68 (define @t1598 () (tptp.hAPP @t16 @t16 @t1477 @t401)) % 0.87/1.68 (define @t1599 () (tptp.collect @t13)) % 0.87/1.68 (define @t1600 () (tptp.semilattice_inf_inf @t42)) % 0.87/1.68 (define @t1601 () (tptp.hAPP @t42 @t1402 @t1600 @t410)) % 0.87/1.68 (define @t1602 () (tptp.fun @t13 @t49)) % 0.87/1.68 (define @t1603 () (tptp.hAPP @t115 (tptp.fun @t113 @t115) (tptp.combb tptp.nat @t14 tptp.nat) @t395)) % 0.87/1.68 (define @t1604 () (tptp.hAPP @t115 @t1565 @t1564 (tptp.hAPP @t113 @t115 @t1603 @t705))) % 0.87/1.68 (define @t1605 () (@list @t395 @t659 @t686 @t328)) % 0.87/1.68 (define @t1606 () (tptp.hAPP @t115 @t1565 @t1564 (tptp.hAPP @t113 @t115 @t1603 tptp.suc))) % 0.87/1.68 (define @t1607 () (tptp.hAPP tptp.nat @t253 @t1433 @t916)) % 0.87/1.68 (define @t1608 () (@list @t395 @t659 @t328)) % 0.87/1.68 (define @t1609 () (tptp.hAPP tptp.nat @t253 @t978 @t659)) % 0.87/1.68 (define @t1610 () (tptp.hAPP tptp.nat @t237 @t1609 @t328)) % 0.87/1.68 (define @t1611 () (tptp.fun @t21 @t16)) % 0.87/1.68 (define @t1612 () (tptp.hAPP @t781 @t144 @t784 (tptp.hAPP @t16 @t781 @t783 @t655))) % 0.87/1.68 (define @t1613 () (tptp.combb @t16 @t16 @t21)) % 0.87/1.68 (define @t1614 () (tptp.fun @t1611 @t1611)) % 0.87/1.68 (define @t1615 () (tptp.hAPP @t18 @t17 @t15 @t393)) % 0.87/1.68 (define @t1616 () (tptp.combb @t16 @t16 @t13)) % 0.87/1.68 (define @t1617 () (tptp.fun @t769 @t769)) % 0.87/1.68 (define @t1618 () (tptp.big_co1399186613setsum @t14 @t21)) % 0.87/1.68 (define @t1619 () (tptp.fun @t13 @t1351)) % 0.87/1.68 (define @t1620 () (tptp.big_co1399186613setsum @t13 @t21)) % 0.87/1.68 (define @t1621 () (tptp.fun @t13 @t161)) % 0.87/1.68 (define @t1622 () (tptp.combb @t42 @t42 @t14)) % 0.87/1.68 (define @t1623 () (tptp.fun @t14 @t1347)) % 0.87/1.68 (define @t1624 () (tptp.comm_monoid_add @t21)) % 0.87/1.68 (define @t1625 () (tptp.hAPP @t16 @t16 @t1558 @t1593)) % 0.87/1.68 (define @t1626 () (tptp.hAPP @t16 @t16 @t143 (tptp.hAPP @t16 @t16 @t1098 @t1484))) % 0.87/1.68 (define @t1627 () (tptp.hAPP @t16 @t73 @t553 @t1559)) % 0.87/1.68 (define @t1628 () (tptp.zero_zero @t13)) % 0.87/1.68 (define @t1629 () (tptp.fun @t14 @t1314)) % 0.87/1.68 (define @t1630 () (tptp.hAPP (tptp.fun tptp.bool @t1314) (tptp.fun @t16 @t1629) (tptp.combb tptp.bool @t1314 @t14) (tptp.if @t13))) % 0.87/1.68 (define @t1631 () (tptp.combs @t14 @t13 @t51)) % 0.87/1.68 (define @t1632 () (tptp.combc @t14 @t13 @t13)) % 0.87/1.68 (define @t1633 () (tptp.fun @t13 @t18)) % 0.87/1.68 (define @t1634 () (tptp.hAPP @t18 @t17 @t15 @t395)) % 0.87/1.68 (define @t1635 () (tptp.hAPP @t16 @t13 (tptp.hAPP @t18 @t17 @t15 (tptp.hAPP @t13 @t18 (tptp.hAPP @t54 @t1633 @t1632 (tptp.hAPP @t18 @t54 (tptp.hAPP @t1629 @t1321 @t1631 (tptp.hAPP @t16 @t1629 @t1630 @t1484)) @t395)) @t1628)) @t401)) % 0.87/1.68 (define @t1636 () (@list @t395 @t428 @t401)) % 0.87/1.68 (define @t1637 () (tptp.hAPP tptp.nat @t253 @t978 @t916)) % 0.87/1.68 (define @t1638 () (tptp.hAPP @t14 @t33 @t109 @t285)) % 0.87/1.68 (define @t1639 () (tptp.hAPP @t14 @t14 @t1638 @t283)) % 0.87/1.68 (define @t1640 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t449 @t1639))) % 0.87/1.68 (define @t1641 () (tptp.hAPP @t14 @t16 @t448 @t1639)) % 0.87/1.68 (define @t1642 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1641 @t341))) % 0.87/1.68 (define @t1643 () (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t109 @t175) @t174)) % 0.87/1.68 (define @t1644 () (tptp.hAPP @t14 @t16 @t448 @t1577)) % 0.87/1.68 (define @t1645 () (forall @t352 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1644 @t342)))) % 0.87/1.68 (define @t1646 () (forall @t352 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1644 @t341)))) % 0.87/1.68 (define @t1647 () (tptp.hAPP @t14 @t14 @t1574 @t1581)) % 0.87/1.68 (define @t1648 () (forall @t684 (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t109 @t1577) @t354) @t1647))) % 0.87/1.68 (define @t1649 () (tptp.hAPP @t14 @t33 @t109 @t283)) % 0.87/1.68 (define @t1650 () (tptp.hAPP @t14 @t14 @t1638 (tptp.hAPP @t14 @t14 @t1649 @t362))) % 0.87/1.68 (define @t1651 () (forall @t684 (= @t1647 (tptp.hAPP @t14 @t14 @t1580 @t1576)))) % 0.87/1.68 (define @t1652 () (forall @t352 (= (tptp.hAPP @t14 @t14 @t1574 @t1577) @t1577))) % 0.87/1.68 (define @t1653 () (forall @t352 (= @t1577 @t1589))) % 0.87/1.68 (define @t1654 () (forall @t392 (= (tptp.hAPP @t14 @t14 @t1574 @t341) @t346))) % 0.87/1.68 (define @t1655 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t1639) @t341))) % 0.87/1.68 (define @t1656 () (tptp.hAPP @t237 @t14 @t1566 @t1610)) % 0.87/1.68 (define @t1657 () (tptp.hAPP @t14 @t33 @t89 @t1656)) % 0.87/1.68 (define @t1658 () (tptp.hAPP @t113 (tptp.fun @t237 tptp.nat) (tptp.big_co1399186613setsum tptp.nat tptp.nat) @t395)) % 0.87/1.68 (define @t1659 () (@list @t686 @t395)) % 0.87/1.68 (define @t1660 () (= (tptp.hAPP @t16 @t42 @t998 @t1559) (tptp.hAPP @t42 @t42 (tptp.hAPP @t42 @t1402 @t1600 @t1000) @t999))) % 0.87/1.68 (define @t1661 () (tptp.hAPP @t14 @t33 @t89 @t957)) % 0.87/1.68 (define @t1662 () (tptp.hAPP @t16 tptp.nat @t39 @t1461)) % 0.87/1.68 (define @t1663 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 @t1662) (tptp.hAPP @t16 tptp.nat @t39 @t1559))) % 0.87/1.68 (define @t1664 () (tptp.hAPP tptp.nat tptp.nat @t821 @t772)) % 0.87/1.68 (define @t1665 () (tptp.hAPP @t237 @t14 @t1566 (tptp.hAPP tptp.nat @t237 @t1609 @t921))) % 0.87/1.68 (define @t1666 () (@list @t395 @t328 @t659)) % 0.87/1.68 (define @t1667 () (tptp.hAPP @t237 @t14 @t1566 (tptp.hAPP tptp.nat @t237 @t1567 @t921))) % 0.87/1.68 (define @t1668 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t921) @t659))) % 0.87/1.68 (define @t1669 () (tptp.hAPP @t115 @t1565 @t1564 @t200)) % 0.87/1.68 (define @t1670 () (tptp.semilattice_inf_inf @t64)) % 0.87/1.68 (define @t1671 () (tptp.hAPP @t16 @t13 @t1615 @t401)) % 0.87/1.68 (define @t1672 () (=> @t891 (= @t1671 @t1628))) % 0.87/1.68 (define @t1673 () (tptp.plus_plus @t13)) % 0.87/1.68 (define @t1674 () (=> @t765 (= @t1671 (tptp.hAPP @t16 @t13 (tptp.hAPP @t13 @t17 (tptp.hAPP @t18 @t1312 (tptp.hAPP @t1314 @t1313 @t1311 @t1673) @t393) @t1628) @t401)))) % 0.87/1.68 (define @t1675 () (@list @t393 @t401)) % 0.87/1.68 (define @t1676 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t14 @t42 (tptp.hAPP @t64 @t64 (tptp.hAPP @t64 @t1508 @t1670 @t401) @t428) @t175) @t174))) % 0.87/1.68 (define @t1677 () (tptp.fun @t21 @t36)) % 0.87/1.68 (define @t1678 () (tptp.big_co1399186613setsum @t13 @t14)) % 0.87/1.68 (define @t1679 () (tptp.fun @t21 @t46)) % 0.87/1.68 (define @t1680 () (tptp.big_co1399186613setsum @t21 @t14)) % 0.87/1.68 (define @t1681 () (tptp.fun @t1013 @t14)) % 0.87/1.68 (define @t1682 () (tptp.fun @t13 @t1681)) % 0.87/1.68 (define @t1683 () (tptp.hAPP (tptp.fun @t132 @t1681) (tptp.fun @t133 @t1682) (tptp.combb @t132 @t1681 @t13) @t1680)) % 0.87/1.68 (define @t1684 () (tptp.combc @t13 @t1013 @t14)) % 0.87/1.68 (define @t1685 () (tptp.fun @t1013 @t36)) % 0.87/1.68 (define @t1686 () (tptp.hAPP @t42 @t14 (tptp.hAPP @t36 @t46 @t1678 @t395) @t401)) % 0.87/1.68 (define @t1687 () (tptp.hAPP @t14 @t33 @t94 @t1377)) % 0.87/1.68 (define @t1688 () (tptp.semiring_0 @t14)) % 0.87/1.68 (define @t1689 () (tptp.hAPP @t36 @t1410 (tptp.hAPP @t49 @t1411 @t1409 @t94) @t395)) % 0.87/1.68 (define @t1690 () (tptp.hAPP @t14 @t33 @t94 @t1686)) % 0.87/1.68 (define @t1691 () (tptp.fun @t132 @t132)) % 0.87/1.68 (define @t1692 () (tptp.fun @t13 @t1691)) % 0.87/1.68 (define @t1693 () (tptp.hAPP @t14 tptp.nat @t395 @t292)) % 0.87/1.68 (define @t1694 () (tptp.big_co1399186613setsum @t14 tptp.nat)) % 0.87/1.68 (define @t1695 () (tptp.hAPP @t158 @t40 @t1694 @t395)) % 0.87/1.68 (define @t1696 () (tptp.hAPP @t16 @t13 (tptp.hAPP @t18 @t17 @t15 (tptp.hAPP @t13 @t18 (tptp.hAPP @t54 @t1633 @t1632 (tptp.hAPP @t18 @t54 (tptp.hAPP @t1629 @t1321 @t1631 (tptp.hAPP @t16 @t1629 @t1630 (tptp.hAPP @t14 @t16 @t163 @t202))) @t201)) @t1628)) @t410)) % 0.87/1.68 (define @t1697 () (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1045 @t410))) % 0.87/1.68 (define @t1698 () (not @t1697)) % 0.87/1.68 (define @t1699 () (tptp.hAPP @t14 @t13 @t201 @t202)) % 0.87/1.68 (define @t1700 () (@list @t201 @t202 @t410)) % 0.87/1.68 (define @t1701 () (tptp.hAPP @t16 @t13 (tptp.hAPP @t18 @t17 @t15 (tptp.hAPP @t13 @t18 (tptp.hAPP @t54 @t1633 @t1632 (tptp.hAPP @t18 @t54 (tptp.hAPP @t1629 @t1321 @t1631 (tptp.hAPP @t16 @t1629 @t1630 (tptp.hAPP @t14 @t16 (tptp.hAPP @t119 @t119 (tptp.combc @t14 @t14 tptp.bool) @t163) @t202))) @t201)) @t1628)) @t410)) % 0.87/1.68 (define @t1702 () (tptp.hAPP @t13 @t51 @t1673 @t1671)) % 0.87/1.68 (define @t1703 () (forall @t296 (=> @t487 (=> (not @t486) (= (tptp.hAPP @t14 tptp.nat @t395 @t289) @t839))))) % 0.87/1.68 (define @t1704 () (tptp.hAPP @t16 tptp.nat @t1695 @t401)) % 0.87/1.68 (define @t1705 () (@var "T_1" $$unsorted)) % 0.87/1.68 (define @t1706 () (@var "T_2" $$unsorted)) % 0.87/1.68 (define @t1707 () (tptp.fun @t1706 @t1705)) % 0.87/1.68 (define @t1708 () (tptp.bounded_lattice @t1705)) % 0.87/1.68 (define @t1709 () (@list @t1706 @t1705)) % 0.87/1.68 (define @t1710 () (tptp.lattice @t1705)) % 0.87/1.68 (define @t1711 () (tptp.finite_finite @t1705)) % 0.87/1.68 (define @t1712 () (and @t1711 (tptp.finite_finite @t1706))) % 0.87/1.68 (define @t1713 () (@var "A" $$unsorted)) % 0.87/1.68 (define @t1714 () (@var "T" $$unsorted)) % 0.87/1.68 (define @t1715 () (tptp.ti @t1714 @t1713)) % 0.87/1.68 (define @t1716 () (@list @t14 @t341 @t342)) % 0.87/1.68 (define @t1717 () (@var "P" $$unsorted)) % 0.87/1.68 (define @t1718 () (tptp.ti tptp.bool @t1717)) % 0.87/1.68 (define @t1719 () (@list @t1717)) % 0.87/1.68 (define @t1720 () (tptp.hBOOL @t1717)) % 0.87/1.68 (define @t1721 () (not @t1720)) % 0.87/1.68 (define @t1722 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool tptp.fNot @t1717))) % 0.87/1.68 (define @t1723 () (@var "R" $$unsorted)) % 0.87/1.68 (define @t1724 () (@var "Q" $$unsorted)) % 0.87/1.68 (define @t1725 () (tptp.hAPP @t14 @t13 @t1724 @t1723)) % 0.87/1.68 (define @t1726 () (@list @t14 @t21 @t13 @t1717 @t1724 @t1723)) % 0.87/1.68 (define @t1727 () (tptp.hAPP @t14 @t25 @t1717 @t1723)) % 0.87/1.68 (define @t1728 () (tptp.ti @t14 @t1717)) % 0.87/1.68 (define @t1729 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t161 tptp.fconj @t1717) @t1724))) % 0.87/1.68 (define @t1730 () (tptp.hBOOL @t1724)) % 0.87/1.68 (define @t1731 () (not @t1730)) % 0.87/1.68 (define @t1732 () (@list @t1724 @t1717)) % 0.87/1.68 (define @t1733 () (not @t1729)) % 0.87/1.68 (define @t1734 () (@list @t1717 @t1724)) % 0.87/1.68 (define @t1735 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t161 tptp.fdisj @t1717) @t1724))) % 0.87/1.68 (define @t1736 () (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t163 @t341) @t342))) % 0.87/1.68 (define @t1737 () (@list false)) % 0.87/1.68 (assume @p1 (= (tptp.ti @t5 tptp.arrow_1541970350le_IIA) tptp.arrow_1541970350le_IIA)) % 0.87/1.68 (assume @p2 (= (tptp.ti @t6 tptp.arrow_1568854078le_Lin) tptp.arrow_1568854078le_Lin)) % 0.87/1.68 (assume @p3 (= (tptp.ti @t7 tptp.arrow_301600364e_Prof) tptp.arrow_301600364e_Prof)) % 0.87/1.68 (assume @p4 (= (tptp.ti @t10 tptp.arrow_357225482_above) tptp.arrow_357225482_above)) % 0.87/1.68 (assume @p5 (= (tptp.ti @t10 tptp.arrow_1665824030_below) tptp.arrow_1665824030_below)) % 0.87/1.68 (assume @p6 (= (tptp.ti (tptp.fun @t4 @t11) tptp.arrow_708804735ctator) tptp.arrow_708804735ctator)) % 0.87/1.68 (assume @p7 (= (tptp.ti @t12 tptp.arrow_1622070166_mkbot) tptp.arrow_1622070166_mkbot)) % 0.87/1.68 (assume @p8 (= (tptp.ti @t12 tptp.arrow_1770777252_mktop) tptp.arrow_1770777252_mktop)) % 0.87/1.68 (assume @p9 (= (tptp.ti @t5 tptp.arrow_1066301521nimity) tptp.arrow_1066301521nimity)) % 0.87/1.68 (assume @p10 (forall @t20 (=> @t19 (= (tptp.ti (tptp.fun @t18 @t17) @t15) @t15)))) % 0.87/1.68 (assume @p11 (forall @t27 (= (tptp.ti @t26 @t22) @t22))) % 0.87/1.68 (assume @p12 (forall @t31 (= (tptp.ti (tptp.fun @t30 @t29) @t28) @t28))) % 0.87/1.68 (assume @p13 (forall @t34 (= (tptp.ti @t33 @t32) @t32))) % 0.87/1.68 (assume @p14 (forall @t20 (= (tptp.ti @t37 @t35) @t35))) % 0.87/1.68 (assume @p15 (forall @t31 (= (tptp.ti (tptp.fun @t30 @t24) @t38) @t38))) % 0.87/1.68 (assume @p16 (forall @t34 (= (tptp.ti @t40 @t39) @t39))) % 0.87/1.68 (assume @p17 (forall @t44 (= (tptp.ti @t43 @t41) @t41))) % 0.87/1.68 (assume @p18 (forall @t20 (= (tptp.ti (tptp.fun @t49 @t48) @t45) @t45))) % 0.87/1.68 (assume @p19 (forall @t20 (= (tptp.ti (tptp.fun @t54 @t53) @t50) @t50))) % 0.87/1.68 (assume @p20 (forall @t20 (= (tptp.ti (tptp.fun @t49 @t58) @t55) @t55))) % 0.87/1.68 (assume @p21 (forall @t20 (= (tptp.ti (tptp.fun @t49 @t62) @t59) @t59))) % 0.87/1.68 (assume @p22 (forall @t20 (= (tptp.ti @t67 @t63) @t63))) % 0.87/1.68 (assume @p23 (forall @t71 (= (tptp.ti @t70 @t68) @t68))) % 0.87/1.68 (assume @p24 (forall @t20 (= (tptp.ti (tptp.fun @t18 @t73) @t72) @t72))) % 0.87/1.68 (assume @p25 (forall @t20 (= (tptp.ti @t76 @t74) @t74))) % 0.87/1.68 (assume @p26 (forall @t20 (= (tptp.ti (tptp.fun @t16 @t79) @t77) @t77))) % 0.87/1.68 (assume @p27 (forall @t71 (= (tptp.ti (tptp.fun @t16 @t83) @t80) @t80))) % 0.87/1.68 (assume @p28 (forall @t20 (= (tptp.ti (tptp.fun @t16 @t78) @t84) @t84))) % 0.87/1.68 (assume @p29 (forall @t20 (= (tptp.ti (tptp.fun @t18 @t86) @t85) @t85))) % 0.87/1.68 (assume @p30 (forall @t34 (=> @t88 (= (tptp.ti @t14 @t87) @t87)))) % 0.87/1.68 (assume @p31 (forall @t34 (=> @t91 @t90))) % 0.87/1.68 (assume @p32 (forall @t34 (=> @t92 @t90))) % 0.87/1.68 (assume @p33 (forall @t34 (=> @t93 @t90))) % 0.87/1.68 (assume @p34 (forall @t34 (=> @t96 @t95))) % 0.87/1.68 (assume @p35 (forall @t34 (=> @t97 @t95))) % 0.87/1.68 (assume @p36 (forall @t34 (=> @t98 @t95))) % 0.87/1.68 (assume @p37 (forall @t34 (=> @t99 @t95))) % 0.87/1.68 (assume @p38 (forall @t34 (=> @t100 @t95))) % 0.87/1.68 (assume @p39 (forall @t34 (=> @t102 (= (tptp.ti @t14 @t101) @t101)))) % 0.87/1.68 (assume @p40 (= (tptp.ti (tptp.fun tptp.bool tptp.nat) tptp.bool_size) tptp.bool_size)) % 0.87/1.68 (assume @p41 (forall @t34 (= (tptp.ti @t14 @t103) @t103))) % 0.87/1.68 (assume @p42 (forall @t20 (= (tptp.ti @t76 @t104) @t104))) % 0.87/1.68 (assume @p43 (forall @t34 (= (tptp.ti @t106 @t105) @t105))) % 0.87/1.68 (assume @p44 (forall @t34 (=> @t108 (= (tptp.ti @t16 @t107) @t107)))) % 0.87/1.68 (assume @p45 (forall @t34 (=> @t110 (= (tptp.ti @t49 @t109) @t109)))) % 0.87/1.68 (assume @p46 (forall @t34 (=> @t112 (= (tptp.ti @t49 @t111) @t111)))) % 0.87/1.68 (assume @p47 (= (tptp.ti @t113 tptp.suc) tptp.suc)) % 0.87/1.68 (assume @p48 (forall @t34 (= (tptp.ti (tptp.fun @t14 @t116) @t114) @t114))) % 0.87/1.68 (assume @p49 (= (tptp.ti @t113 tptp.nat_size) tptp.nat_size)) % 0.87/1.68 (assume @p50 (= (tptp.ti @t113 @t117) @t117)) % 0.87/1.68 (assume @p51 (forall @t34 (=> @t120 (= (tptp.ti @t119 @t118) @t118)))) % 0.87/1.68 (assume @p52 (forall @t44 (=> @t123 (= (tptp.ti @t122 @t121) @t121)))) % 0.87/1.68 (assume @p53 (forall @t34 (=> @t125 (= (tptp.ti @t14 @t124) @t124)))) % 0.87/1.68 (assume @p54 (forall @t20 (= (tptp.ti @t128 @t126) @t126))) % 0.87/1.68 (assume @p55 (forall @t27 (= (tptp.ti (tptp.fun @t133 @t131) @t129) @t129))) % 0.87/1.68 (assume @p56 (forall @t34 (=> @t120 (= (tptp.ti @t119 @t134) @t134)))) % 0.87/1.68 (assume @p57 (forall @t34 (=> @t137 (= (tptp.ti @t136 @t135) @t135)))) % 0.87/1.68 (assume @p58 (forall @t34 (=> @t139 (= (tptp.ti @t136 @t138) @t138)))) % 0.87/1.68 (assume @p59 (forall @t34 (=> @t120 (= (tptp.ti @t119 @t140) @t140)))) % 0.87/1.68 (assume @p60 (forall @t34 (=> @t139 (= (tptp.ti @t136 @t141) @t141)))) % 0.87/1.68 (assume @p61 (forall @t34 (=> @t139 (= (tptp.ti @t136 @t142) @t142)))) % 0.87/1.68 (assume @p62 (forall @t34 (= (tptp.ti @t144 @t143) @t143))) % 0.87/1.68 (assume @p63 (forall @t147 (= (tptp.ti (tptp.fun @t36 @t146) @t145) @t145))) % 0.87/1.68 (assume @p64 (forall @t20 (= (tptp.ti (tptp.fun @t16 @t151) @t148) @t148))) % 0.87/1.68 (assume @p65 (forall @t34 (= (tptp.ti @t154 @t152) @t152))) % 0.87/1.68 (assume @p66 (forall @t34 (= (tptp.ti (tptp.fun @t158 @t157) @t155) @t155))) % 0.87/1.68 (assume @p67 (forall @t34 (= (tptp.ti (tptp.fun @t158 @t160) @t159) @t159))) % 0.87/1.68 (assume @p68 (= (tptp.ti tptp.bool tptp.fFalse) tptp.fFalse)) % 0.87/1.68 (assume @p69 (= (tptp.ti @t161 tptp.fNot) tptp.fNot)) % 0.87/1.68 (assume @p70 (= (tptp.ti tptp.bool tptp.fTrue) tptp.fTrue)) % 0.87/1.68 (assume @p71 (= (tptp.ti @t162 tptp.fconj) tptp.fconj)) % 0.87/1.68 (assume @p72 (= (tptp.ti @t162 tptp.fdisj) tptp.fdisj)) % 0.87/1.68 (assume @p73 (forall @t34 (= (tptp.ti @t119 @t163) @t163))) % 0.87/1.68 (assume @p74 (forall @t167 (= (tptp.hAPP @t14 @t21 (tptp.ti @t23 @t165) @t164) @t166))) % 0.87/1.68 (assume @p75 (forall @t167 (= (tptp.hAPP @t14 @t21 @t165 (tptp.ti @t14 @t164)) @t166))) % 0.87/1.68 (assume @p76 (forall (@list @t21 @t14 @t165 @t164) (= (tptp.ti @t21 @t166) @t166))) % 0.87/1.68 (assume @p77 (forall (@list @t165) (= (tptp.hBOOL (tptp.ti tptp.bool @t165)) (tptp.hBOOL @t165)))) % 0.87/1.68 (assume @p78 (forall @t34 (= (tptp.ti @t169 @t168) @t168))) % 0.87/1.68 (assume @p79 (= (tptp.ti @t4 tptp.f) tptp.f)) % 0.87/1.68 (assume @p80 (= (tptp.ti @t2 tptp.lab) tptp.lab)) % 0.87/1.68 (assume @p81 (= (tptp.ti @t2 tptp.lba) tptp.lba)) % 0.87/1.68 (assume @p82 (= (tptp.ti @t3 tptp.p) tptp.p)) % 0.87/1.68 (assume @p83 (= (tptp.ti tptp.arrow_2142409994le_alt tptp.a) tptp.a)) % 0.87/1.68 (assume @p84 (= (tptp.ti tptp.arrow_2142409994le_alt tptp.b) tptp.b)) % 0.87/1.68 (assume @p85 (= (tptp.ti tptp.arrow_2142409994le_alt tptp.c) tptp.c)) % 0.87/1.68 (assume @p86 (= (tptp.ti tptp.arrow_2142409994le_alt tptp.d) tptp.d)) % 0.87/1.68 (assume @p87 (= (tptp.ti tptp.arrow_2142409994le_alt tptp.e) tptp.e)) % 0.87/1.68 (assume @p88 (= (tptp.ti @t170 tptp.h) tptp.h)) % 0.87/1.68 (assume @p89 (= (tptp.ti tptp.nat tptp.n) tptp.n)) % 0.87/1.68 (assume @p90 (tptp.hBOOL (tptp.hAPP @t4 tptp.bool tptp.arrow_1541970350le_IIA tptp.f))) % 0.87/1.68 (assume @p91 (tptp.hBOOL (tptp.hAPP @t4 tptp.bool tptp.arrow_1066301521nimity tptp.f))) % 0.87/1.68 (assume @p92 (not (= tptp.c tptp.d))) % 0.87/1.68 (assume @p93 (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t172 @t171 tptp.p) tptp.arrow_301600364e_Prof))) % 0.87/1.68 (assume @p94 (forall @t192 (= (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t180 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 @t191 @t182))) (and @t190 (=> @t185 @t188) (=> @t186 @t181))))) % 0.87/1.68 (assume @p95 (forall @t192 (= (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t180 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 @t193 @t182))) (and @t186 (=> @t189 @t188) (=> @t190 @t181))))) % 0.87/1.68 (assume @p96 (forall @t222 (=> @t221 (=> @t220 (=> @t219 (=> @t216 @t213)))))) % 0.87/1.68 (assume @p97 (forall @t222 (=> @t221 (=> @t220 (=> @t219 (=> @t216 (=> @t212 (=> @t211 (=> @t210 (=> @t205 @t199)))))))))) % 0.87/1.68 (assume @p98 (forall (@list @t194 @t200 @t223 @t202 @t201) (=> @t221 (=> (not (= @t215 @t226)) (=> (not (= @t218 @t226)) (=> @t212 (=> @t211 (=> (forall @t209 (= @t208 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t225 @t207)))) (= @t205 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t225 @t195))))))))))) % 0.87/1.68 (assume @p99 (forall @t222 (=> @t221 (=> @t220 @t213)))) % 0.87/1.68 (assume @p100 (forall (@list @t194 @t200 @t202 @t201) (=> @t221 (=> @t212 (=> @t211 (=> (forall @t209 (= @t208 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t227 @t207)))) (= @t205 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t227 @t195))))))))) % 0.87/1.68 (assume @p101 (forall @t209 (= (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t231 @t228)) (and (=> @t239 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t231 @t241))) (=> @t240 (and (=> @t233 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t231 @t235))) (=> @t234 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t231 @t229))))))))) % 0.87/1.68 (assume @p102 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t231 (tptp.hAPP tptp.arrow_1998540521e_indi @t2 tptp.p (tptp.hAPP tptp.nat tptp.arrow_1998540521e_indi (tptp.hAPP @t170 @t243 (tptp.hAPP @t11 (tptp.fun @t170 @t243) (tptp.hilbert_inv_into tptp.arrow_1998540521e_indi tptp.nat) @t242) tptp.h) tptp.n))))) % 0.87/1.68 (assume @p103 @t269) % 0.87/1.68 (assume @p104 (= @t270 @t269)) % 0.87/1.68 (assume @p105 (forall (@list @t14 @t13 @t200) (= (forall (@list @t274) (tptp.hBOOL (tptp.hAPP @t65 tptp.bool @t200 @t274))) (forall @t273 (tptp.hBOOL (tptp.hAPP @t65 tptp.bool @t200 (tptp.hAPP @t13 @t65 (tptp.hAPP @t14 @t127 @t126 @t272) @t271))))))) % 0.87/1.68 (assume @p106 (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t172 @t171 @t267) tptp.arrow_301600364e_Prof))) % 0.87/1.68 (assume @p107 @t276) % 0.87/1.68 (assume @p108 @t278) % 0.87/1.68 (assume @p109 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 tptp.n) @t279))) % 0.87/1.68 (assume @p110 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t170 @t281 @t280 tptp.h) @t242))) % 0.87/1.68 (assume @p111 (forall (@list @t13 @t14 @t285 @t283 @t284 @t282) (=> (= (tptp.hAPP @t13 @t65 (tptp.hAPP @t14 @t127 @t126 @t285) @t283) (tptp.hAPP @t13 @t65 (tptp.hAPP @t14 @t127 @t126 @t284) @t282)) (not (=> (= @t286 (tptp.ti @t14 @t284)) (not (= (tptp.ti @t13 @t283) (tptp.ti @t13 @t282)))))))) % 0.87/1.68 (assume @p112 (forall (@list @t13 @t14 @t202 @t201 @t197 @t196) (= (= (tptp.hAPP @t13 @t65 (tptp.hAPP @t14 @t127 @t126 @t202) @t201) (tptp.hAPP @t13 @t65 (tptp.hAPP @t14 @t127 @t126 @t197) @t196)) (and (= @t288 (tptp.ti @t14 @t197)) (= @t287 (tptp.ti @t13 @t196)))))) % 0.87/1.68 (assume @p113 (forall @t299 (= (tptp.hBOOL (tptp.hAPP @t4 tptp.bool tptp.arrow_1541970350le_IIA @t290)) (forall @t298 (=> @t297 (forall @t296 (=> (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t172 @t171 @t289) tptp.arrow_301600364e_Prof)) (forall @t273 (=> (forall @t209 (= @t295 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t291 (tptp.hAPP tptp.arrow_1998540521e_indi @t2 @t289 @t206))))) (= @t294 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t291 (tptp.hAPP @t3 @t2 @t290 @t289))))))))))))) % 0.87/1.68 (assume @p114 (forall @t299 (= (tptp.hBOOL (tptp.hAPP @t4 tptp.bool tptp.arrow_1066301521nimity @t290)) (forall @t298 (=> @t297 (forall @t273 (=> (forall @t209 @t295) @t294))))))) % 0.87/1.68 (assume @p115 (forall @t301 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t300 @t175)))) % 0.87/1.68 (assume @p116 (forall @t301 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t302 @t300)))) % 0.87/1.68 (assume @p117 (forall (@list @t13 @t21 @t14 @t303 @t202 @t201) (= (tptp.hAPP @t130 @t14 (tptp.hAPP @t133 @t131 @t129 @t303) (tptp.hAPP @t21 @t130 (tptp.hAPP @t13 (tptp.fun @t21 @t130) (tptp.product_Pair @t13 @t21) @t202) @t201)) (tptp.hAPP @t21 @t14 (tptp.hAPP @t13 @t132 @t303 @t202) @t201)))) % 0.87/1.68 (assume @p118 (forall @t147 (=> @t125 (forall @t304 (= (tptp.hAPP @t13 @t14 (tptp.top_top @t36) @t175) @t124))))) % 0.87/1.68 (assume @p119 (forall @t34 (=> @t125 (forall @t305 (not (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t124) @t285))))))) % 0.87/1.68 (assume @p120 (forall @t34 (=> @t125 (forall @t308 (= (not @t307) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t306 @t124))))))) % 0.87/1.68 (assume @p121 (tptp.hBOOL (tptp.hAPP @t5 tptp.bool (tptp.hAPP @t4 @t312 @t311 tptp.f) @t310))) % 0.87/1.68 (assume @p122 (= @t278 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t317 (tptp.hAPP @t3 @t2 tptp.f (tptp.hAPP @t2 @t3 (tptp.hAPP @t261 @t316 @t315 (tptp.hAPP @t2 @t261 (tptp.hAPP @t258 @t314 @t313 @t266) tptp.lab)) tptp.lba)))))) % 0.87/1.68 (assume @p123 (forall (@list @t290 @t318) (= @t320 (forall @t298 (=> @t297 (= @t293 @t319)))))) % 0.87/1.68 (assume @p124 (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t322 @t321 tptp.lab) tptp.arrow_1568854078le_Lin))) % 0.87/1.68 (assume @p125 (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t322 @t321 tptp.lba) tptp.arrow_1568854078le_Lin))) % 0.87/1.68 (assume @p126 (not (= tptp.a tptp.b))) % 0.87/1.68 (assume @p127 @t324) % 0.87/1.68 (assume @p128 @t325) % 0.87/1.68 (assume @p129 (not @t326)) % 0.87/1.68 (assume @p130 (not @t327)) % 0.87/1.68 (assume @p131 (forall @t329 (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t172 @t171 (tptp.hAPP @t2 @t3 (tptp.hAPP @t261 @t316 @t315 (tptp.hAPP @t2 @t261 (tptp.hAPP @t258 @t314 @t313 (tptp.hAPP @t11 @t258 @t259 (tptp.hAPP tptp.nat @t11 @t265 @t328))) tptp.lab)) tptp.lba)) tptp.arrow_301600364e_Prof)))) % 0.87/1.68 (assume @p132 (not (forall (@list @t330) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t323 @t330)) (not (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t322 @t321 @t330) tptp.arrow_1568854078le_Lin))))))) % 0.87/1.68 (assume @p133 (not (forall (@list @t331) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t317 @t331)) (not (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t322 @t321 @t331) tptp.arrow_1568854078le_Lin))))))) % 0.87/1.68 (assume @p134 (forall @t209 (= (and (=> @t239 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t277 @t241))) (=> @t240 (and (=> @t233 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t277 @t235))) (=> @t234 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t277 @t229)))))) (and (=> @t239 @t327) (=> @t240 @t325))))) % 0.87/1.68 (assume @p135 (forall @t336 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t335 tptp.n)) @t333))) % 0.87/1.68 (assume @p136 (forall (@list @t175 @t174 @t173) (=> @t337 (=> @t188 (= (not @t181) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t179 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 (tptp.hAPP tptp.arrow_2142409994le_alt @t177 @t176 @t174) @t175)) @t173))))))) % 0.87/1.68 (assume @p137 (forall (@list @t202 @t201 @t173) (=> @t337 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t204 @t173)) (not (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t227 @t173))))))) % 0.87/1.68 (assume @p138 (forall @t338 (=> @t337 (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t322 @t321 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 @t193 @t175)) tptp.arrow_1568854078le_Lin))))) % 0.87/1.68 (assume @p139 (forall @t338 (=> @t337 (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t322 @t321 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 @t191 @t175)) tptp.arrow_1568854078le_Lin))))) % 0.87/1.68 (assume @p140 (forall @t340 (=> @t188 (=> @t337 (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t322 @t321 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 (tptp.hAPP tptp.arrow_2142409994le_alt @t8 @t339 @t175) @t174)) tptp.arrow_1568854078le_Lin)))))) % 0.87/1.68 (assume @p141 (forall (@list @t173) (=> @t337 (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t172 @t171 (tptp.hAPP @t2 @t3 (tptp.combk @t2 tptp.arrow_1998540521e_indi) @t173)) tptp.arrow_301600364e_Prof))))) % 0.87/1.68 (assume @p142 (forall @t34 (=> @t139 (forall @t352 (=> @t351 (=> @t348 @t344)))))) % 0.87/1.68 (assume @p143 (forall @t34 (=> @t353 (forall @t352 (=> @t350 (not @t344)))))) % 0.87/1.68 (assume @p144 (forall @t34 (=> @t137 (forall @t358 (=> @t344 @t357))))) % 0.87/1.68 (assume @p145 (forall @t34 (=> @t353 (forall @t361 (=> @t350 @t360))))) % 0.87/1.68 (assume @p146 (forall @t34 (=> @t137 (forall @t370 (=> @t369 (=> @t367 @t364)))))) % 0.87/1.68 (assume @p147 (forall @t34 (=> @t120 (forall @t375 (=> @t374 (=> @t373 @t372)))))) % 0.87/1.68 (assume @p148 (forall @t34 (=> @t137 (forall @t375 (=> @t376 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t363 @t283)) @t364)))))) % 0.87/1.68 (assume @p149 (forall @t34 (=> @t120 (forall @t375 (=> @t378 (=> @t377 @t372)))))) % 0.87/1.68 (assume @p150 (forall @t34 (=> @t137 (forall @t379 (=> @t369 (not @t374)))))) % 0.87/1.68 (assume @p151 (forall @t34 (=> @t353 (forall @t380 (=> @t374 (not @t369)))))) % 0.87/1.68 (assume @p152 (forall @t34 (=> @t353 (forall (@list @t200 @t175 @t174) (=> @t382 (=> @t381 (tptp.hBOOL @t200))))))) % 0.87/1.68 (assume @p153 (forall @t34 (=> @t137 (forall @t352 (=> @t350 (not (= @t345 @t346))))))) % 0.87/1.68 (assume @p154 (forall @t34 (=> @t137 (forall @t352 (=> @t350 @t348))))) % 0.87/1.68 (assume @p155 (forall @t34 (=> @t139 @t383))) % 0.87/1.68 (assume @p156 (forall @t34 (=> @t139 (forall @t389 (=> (not @t381) @t388))))) % 0.87/1.68 (assume @p157 (forall @t34 (=> @t139 (forall @t352 (or @t350 @t347 @t344))))) % 0.87/1.68 (assume @p158 (forall @t34 (=> @t139 (forall @t390 (= @t387 (or @t381 @t386)))))) % 0.87/1.68 (assume @p159 (forall @t34 (=> @t139 (forall @t390 (= @t391 (or @t382 @t381)))))) % 0.87/1.68 (assume @p160 (forall @t34 (=> @t353 (forall @t392 (not (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t349 @t341))))))) % 0.87/1.68 (assume @p161 (forall (@list @t14 @t13 @t395 @t393) (=> (forall @t298 @t400) @t397))) % 0.87/1.68 (assume @p162 (forall (@list @t14 @t175 @t401) (= @t403 @t402))) % 0.87/1.68 (assume @p163 (forall @t405 (= @t404 (tptp.ti @t16 @t200)))) % 0.87/1.68 (assume @p164 (forall @t34 (= @t300 (tptp.hAPP @t16 @t16 @t143 (tptp.hAPP tptp.bool @t16 (tptp.combk tptp.bool @t14) tptp.fTrue))))) % 0.87/1.68 (assume @p165 (forall @t409 (=> @t221 (=> @t337 (= (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t180 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 (tptp.hAPP tptp.arrow_2142409994le_alt @t8 @t339 @t202) @t201))) (and @t188 (=> @t408 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t179 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t203 @t174)) @t173))) (=> (not @t408) (and (=> @t406 (or @t407 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t179 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t178 @t202)) @t173)))) (=> (not @t406) @t181))))))))) % 0.87/1.68 (assume @p166 (forall (@list @t14 @t13 @t410 @t411) (= (forall (@list @t292 @t289) (= (tptp.hBOOL (tptp.hAPP @t66 tptp.bool @t414 @t411)) (tptp.hBOOL (tptp.hAPP @t66 tptp.bool @t414 @t410)))) (= (tptp.ti @t66 @t411) (tptp.ti @t66 @t410))))) % 0.87/1.68 (assume @p167 (forall (@list @t318 @t290) (=> (tptp.hBOOL (tptp.hAPP @t5 tptp.bool (tptp.hAPP @t4 @t312 @t311 @t290) @t310)) (=> (forall @t298 (=> @t297 (forall @t273 (=> (not (= (tptp.ti tptp.arrow_2142409994le_alt @t272) (tptp.ti tptp.arrow_2142409994le_alt @t271))) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t291 @t319)) @t294))))) @t320)))) % 0.87/1.68 (assume @p168 @t418) % 0.87/1.68 (assume @p169 (= @t276 @t418)) % 0.87/1.68 (assume @p170 (forall @t209 (= (and (=> @t239 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t275 @t241))) (=> @t240 (and (=> @t233 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t275 @t235))) (=> @t234 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t275 @t229)))))) (and (=> @t419 @t324) (=> (not @t419) @t326))))) % 0.87/1.68 (assume @p171 (forall @t426 (=> @t425 (=> @t423 (= (tptp.hAPP @t13 @t14 @t420 @t174) @t385))))) % 0.87/1.68 (assume @p172 (forall @t427 (=> @t425 (= (tptp.hAPP @t13 @t14 @t420 @t422) @t385)))) % 0.87/1.68 (assume @p173 (forall @t439 (=> @t438 (=> (not @t432) (not @t403))))) % 0.87/1.68 (assume @p174 (forall @t440 (=> @t221 (exists @t298 (and (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t322 @t321 @t292) tptp.arrow_1568854078le_Lin)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t204 @t292))))))) % 0.87/1.68 (assume @p175 (forall (@list @t14 @t13 @t401) (= (tptp.hAPP @t64 @t78 @t433 (tptp.hAPP @t42 @t64 @t443 @t442)) @t441))) % 0.87/1.68 (assume @p176 (forall (@list @t21 @t14 @t13 @t395) (=> @t425 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t445 @t73 (tptp.inj_on @t14 @t82) (tptp.hAPP @t18 @t445 (tptp.hAPP (tptp.fun @t13 @t82) (tptp.fun @t18 @t445) (tptp.combb @t13 @t82 @t14) @t444) @t395)) @t300))))) % 0.87/1.68 (assume @p177 (forall @t409 (=> @t221 (=> @t337 (= (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t180 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 (tptp.hAPP tptp.arrow_2142409994le_alt @t8 @t447 @t202) @t201))) (and @t188 (=> @t446 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t179 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t178 @t201)) @t173))) (=> (not @t446) (and (=> @t407 (or @t406 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t179 (tptp.hAPP tptp.arrow_2142409994le_alt @t1 @t224 @t174)) @t173)))) (=> (not @t407) @t181))))))))) % 0.87/1.68 (assume @p178 (forall @t34 (=> @t353 (forall @t392 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t449 @t341)))))) % 0.87/1.68 (assume @p179 (exists @t454 (and @t453 @t452 @t451))) % 0.87/1.68 (assume @p180 (not (forall @t454 (=> @t453 (=> @t452 (not @t451)))))) % 0.87/1.68 (assume @p181 (forall @t34 (=> @t139 (forall @t352 (=> (not @t457) @t456))))) % 0.87/1.68 (assume @p182 (forall @t20 (=> @t123 (forall (@list @t175 @t395 @t393) (=> @t459 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t121 @t422) (tptp.hAPP @t14 @t13 @t393 @t175)))))))) % 0.87/1.68 (assume @p183 (forall @t34 (=> @t137 (forall @t358 (=> @t456 (=> @t462 @t461)))))) % 0.87/1.68 (assume @p184 (forall @t34 (=> @t137 (forall @t463 (=> @t456 (=> @t457 @t347)))))) % 0.87/1.68 (assume @p185 (forall @t34 (=> @t353 (forall @t361 (=> @t457 (=> @t465 @t464)))))) % 0.87/1.68 (assume @p186 (forall @t34 (=> @t137 (forall @t352 (=> @t457 (=> @t456 @t347)))))) % 0.87/1.68 (assume @p187 (forall @t34 (=> @t137 (forall @t370 (=> @t469 (=> @t367 @t467)))))) % 0.87/1.68 (assume @p188 (forall @t34 (=> @t120 (forall @t375 (=> @t472 (=> @t373 @t471)))))) % 0.87/1.68 (assume @p189 (forall @t34 (=> @t137 (forall @t375 (=> @t376 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t466 @t283)) @t467)))))) % 0.87/1.68 (assume @p190 (forall @t34 (=> @t120 (forall @t375 (=> @t378 (=> @t473 @t471)))))) % 0.87/1.68 (assume @p191 (forall @t34 (=> @t137 (forall @t389 (=> @t478 @t476))))) % 0.87/1.68 (assume @p192 (forall @t34 (=> @t353 (forall @t352 (=> @t479 @t457))))) % 0.87/1.68 (assume @p193 (forall @t34 (=> @t137 (forall @t390 (= @t386 (and @t475 @t478)))))) % 0.87/1.68 (assume @p194 (forall @t34 (=> @t139 (forall @t352 (or @t457 @t456))))) % 0.87/1.68 (assume @p195 (forall @t20 (=> @t123 (forall @t482 (= @t459 @t481))))) % 0.87/1.68 (assume @p196 (forall @t34 (=> @t139 (forall @t390 (= @t387 @t478))))) % 0.87/1.68 (assume @p197 (forall @t34 (=> @t139 (forall @t390 (= (not @t475) @t381))))) % 0.87/1.68 (assume @p198 (forall @t34 (=> @t139 (forall @t352 (or @t457 @t344))))) % 0.87/1.68 (assume @p199 (forall @t34 (=> @t137 (forall @t390 (= @t382 (and @t475 @t391)))))) % 0.87/1.68 (assume @p200 (forall @t34 (=> @t353 (forall @t390 (= @t382 (and @t475 (not @t478))))))) % 0.87/1.68 (assume @p201 (forall @t34 (=> @t137 (forall @t390 (= @t475 (or @t382 @t386)))))) % 0.87/1.68 (assume @p202 (forall @t34 (=> @t139 (forall @t352 (=> @t351 @t456))))) % 0.87/1.68 (assume @p203 (forall @t34 (=> @t139 (forall @t463 (=> (not @t456) @t350))))) % 0.87/1.68 (assume @p204 (forall @t34 (=> @t139 (forall @t390 (=> @t387 @t476))))) % 0.87/1.68 (assume @p205 (forall @t34 (=> @t137 (forall @t380 (=> @t483 (=> @t472 @t374)))))) % 0.87/1.68 (assume @p206 (forall @t34 (=> @t137 (forall @t380 (=> @t483 (=> @t469 @t369)))))) % 0.87/1.68 (assume @p207 (forall @t34 (=> @t139 (forall @t463 (=> @t456 @t351))))) % 0.87/1.68 (assume @p208 (forall @t34 (=> @t353 (forall @t352 (=> @t350 @t457))))) % 0.87/1.68 (assume @p209 (forall @t34 (=> @t139 (forall @t390 (=> @t475 @t388))))) % 0.87/1.68 (assume @p210 (forall @t34 (=> @t137 (forall @t352 (=> @t457 (or @t350 @t347)))))) % 0.87/1.68 (assume @p211 (forall @t34 (=> @t137 (forall @t380 (=> @t472 (=> @t483 @t374)))))) % 0.87/1.68 (assume @p212 (forall @t34 (=> @t137 (forall @t379 (=> @t469 (=> @t483 @t369)))))) % 0.87/1.68 (assume @p213 (forall @t34 (=> @t353 (forall @t361 (=> @t350 (=> @t465 @t359)))))) % 0.87/1.68 (assume @p214 (forall @t34 (=> @t137 (forall @t358 (=> @t344 (=> @t462 @t356)))))) % 0.87/1.68 (assume @p215 (forall @t34 (=> @t353 (forall @t361 (=> @t457 @t360))))) % 0.87/1.68 (assume @p216 (forall @t34 (=> @t137 (forall @t358 (=> @t456 @t357))))) % 0.87/1.68 (assume @p217 (forall @t34 (=> @t125 (forall @t305 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t470 @t124)))))) % 0.87/1.68 (assume @p218 (forall @t34 (=> @t125 (forall @t308 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t484 @t202)) @t307))))) % 0.87/1.68 (assume @p219 (forall @t34 (=> @t125 (forall @t305 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t484 @t285)) (= @t286 @t124)))))) % 0.87/1.68 (assume @p220 (forall @t491 (= @t490 (forall @t298 (=> @t489 (forall @t296 (=> @t487 (=> (= @t399 (tptp.hAPP @t14 @t13 @t395 @t289)) @t486)))))))) % 0.87/1.68 (assume @p221 (forall @t495 (=> @t490 (=> @t391 (=> @t403 (=> @t494 (not @t492))))))) % 0.87/1.68 (assume @p222 (forall @t497 (=> @t490 (=> @t403 (=> @t494 @t496))))) % 0.87/1.68 (assume @p223 (forall @t495 (=> @t490 (=> @t492 (=> @t403 (=> @t494 @t386)))))) % 0.87/1.68 (assume @p224 (forall @t439 (=> @t438 (=> @t403 @t432)))) % 0.87/1.68 (assume @p225 (forall @t340 (=> @t188 (=> @t337 (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t322 @t321 (tptp.hAPP tptp.arrow_2142409994le_alt @t2 (tptp.hAPP tptp.arrow_2142409994le_alt @t8 @t447 @t175) @t174)) tptp.arrow_1568854078le_Lin)))))) % 0.87/1.68 (assume @p226 (= tptp.arrow_301600364e_Prof (tptp.hAPP @t498 @t7 (tptp.hAPP @t11 (tptp.fun @t498 @t7) (tptp.pi tptp.arrow_1998540521e_indi @t2) @t242) (tptp.hAPP @t6 @t498 (tptp.combk @t6 tptp.arrow_1998540521e_indi) tptp.arrow_1568854078le_Lin)))) % 0.87/1.68 (assume @p227 (forall @t500 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t33 @t73 @t499 @t32) @t401)))) % 0.87/1.68 (assume @p228 (forall @t439 (=> @t502 (=> @t403 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t431 @t428)))))) % 0.87/1.68 (assume @p229 (forall @t500 (tptp.hBOOL (tptp.hAPP @t503 tptp.bool (tptp.hAPP @t33 (tptp.fun @t503 tptp.bool) (tptp.member @t33) @t32) (tptp.hAPP @t119 @t503 (tptp.hAPP @t16 (tptp.fun @t119 @t503) (tptp.pi @t14 @t14) @t401) (tptp.hAPP @t16 @t119 (tptp.combk @t16 @t14) @t401)))))) % 0.87/1.68 (assume @p230 (forall @t426 (=> @t425 @t496))) % 0.87/1.68 (assume @p231 (forall @t426 (=> @t425 (=> @t492 @t386)))) % 0.87/1.68 (assume @p232 (forall @t505 (=> @t490 (=> @t403 (= (tptp.hAPP @t13 @t14 @t504 @t422) @t385))))) % 0.87/1.68 (assume @p233 (forall @t497 (=> @t490 (=> @t403 (=> @t423 (= @t506 @t385)))))) % 0.87/1.68 (assume @p234 (forall @t510 (=> @t509 @t438))) % 0.87/1.68 (assume @p235 (forall (@list @t14 @t13 @t393 @t395) (=> @t425 (=> (forall @t298 (= (tptp.hAPP @t14 @t13 @t395 @t512) @t511)) (= @t420 (tptp.ti @t36 @t393)))))) % 0.87/1.68 (assume @p236 (forall @t34 (=> @t515 (forall @t305 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t371 @t514)))))) % 0.87/1.68 (assume @p237 (forall @t34 (=> @t524 (forall @t523 (=> @t374 (=> @t522 @t521)))))) % 0.87/1.68 (assume @p238 (forall @t34 (=> @t524 (forall @t523 (=> @t472 @t526))))) % 0.87/1.68 (assume @p239 (forall @t532 (=> (forall @t531 @t530) @t425))) % 0.87/1.68 (assume @p240 (forall @t34 (=> @t535 (forall (@list @t354 @t342) (=> (forall @t298 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t534 @t342)) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t533 @t354)))) @t465))))) % 0.87/1.68 (assume @p241 (forall @t34 (=> @t535 (forall @t361 (=> @t350 (=> (forall @t537 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t349 @t536)) (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t536) @t342)) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t536) @t354))))) @t465)))))) % 0.87/1.68 (assume @p242 (forall @t147 (=> @t548 (forall @t546 (=> @t545 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t543 @t542)) (=> (forall @t531 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t527) @t292)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t539 @t529) @t399)))) @t541))))))) % 0.87/1.68 (assume @p243 (forall @t147 (=> @t548 (forall @t546 (=> @t550 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t540 @t542)) (=> (forall @t531 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t527) @t292)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t121 @t529) @t399)))) @t541))))))) % 0.87/1.68 (assume @p244 (forall @t20 (=> @t123 (forall @t482 (= (tptp.hBOOL (tptp.hAPP @t18 tptp.bool (tptp.hAPP @t18 @t78 (tptp.ord_less @t18) @t395) @t393)) (and @t459 (not (tptp.hBOOL (tptp.hAPP @t18 tptp.bool (tptp.hAPP @t18 @t78 @t458 @t393) @t395))))))))) % 0.87/1.68 (assume @p245 (forall (@list @t13 @t14 @t428 @t551 @t401) (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t16 @t73 @t553 @t551) @t401)) (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t552 (tptp.hAPP @t64 @t78 (tptp.hAPP @t16 @t79 @t77 @t551) @t428)))))) % 0.87/1.68 (assume @p246 (forall (@list @t14 @t13 @t411 @t410) (= (tptp.hBOOL (tptp.hAPP @t64 tptp.bool (tptp.hAPP @t64 @t563 @t562 @t561) @t560)) (tptp.hBOOL (tptp.hAPP @t66 tptp.bool (tptp.hAPP @t66 @t413 (tptp.ord_less_eq @t66) @t411) @t410))))) % 0.87/1.68 (assume @p247 (forall @t500 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t564 @t300)))) % 0.87/1.68 (assume @p248 (forall @t567 (=> @t566 (=> @t565 @t490)))) % 0.87/1.68 (assume @p249 (forall @t34 (=> @t568 @t383))) % 0.87/1.68 (assume @p250 (forall @t34 (=> @t93 (forall @t571 (=> (= (tptp.hAPP @t14 @t14 @t517 @t285) @t570) @t367))))) % 0.87/1.68 (assume @p251 (forall @t34 (=> (tptp.cancel146912293up_add @t14) @t574))) % 0.87/1.68 (assume @p252 (forall @t34 (=> @t93 @t574))) % 0.87/1.68 (assume @p253 (forall @t34 (=> @t93 (forall (@list @t201 @t202 @t223) (= (= @t581 @t579) @t577))))) % 0.87/1.68 (assume @p254 (forall @t34 (=> @t93 (forall @t585 (= (= @t584 @t583) @t577))))) % 0.87/1.68 (assume @p255 (forall @t34 (=> @t92 @t589))) % 0.87/1.68 (assume @p256 (forall @t34 (=> @t88 (forall @t304 (= (= @t87 @t385) (= @t385 @t87)))))) % 0.87/1.68 (assume @p257 (forall @t34 (=> @t592 (forall @t375 (=> @t591 @t472))))) % 0.87/1.68 (assume @p258 (forall @t34 (=> @t592 (forall @t595 (=> @t594 @t472))))) % 0.87/1.68 (assume @p259 (forall @t34 (=> @t596 (forall @t523 (=> @t472 (=> @t522 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t593 @t518)))))))) % 0.87/1.68 (assume @p260 (forall @t34 (=> @t596 (forall @t375 (=> @t472 @t591))))) % 0.87/1.68 (assume @p261 (forall @t34 (=> @t596 (forall @t375 (=> @t472 @t594))))) % 0.87/1.68 (assume @p262 (forall @t34 (=> @t592 (forall @t600 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t579) @t599)) @t598))))) % 0.87/1.68 (assume @p263 (forall @t34 (=> @t592 (forall @t602 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t583) @t601)) @t598))))) % 0.87/1.68 (assume @p264 (forall @t34 (=> @t592 (forall @t375 (=> @t603 @t374))))) % 0.87/1.68 (assume @p265 (forall @t34 (=> @t592 (forall @t595 (=> @t604 @t374))))) % 0.87/1.68 (assume @p266 (forall @t34 (=> @t524 (forall @t523 (=> @t374 @t526))))) % 0.87/1.68 (assume @p267 (forall @t34 (=> @t524 (forall @t375 (=> @t374 @t603))))) % 0.87/1.68 (assume @p268 (forall @t34 (=> @t524 (forall @t375 (=> @t374 @t604))))) % 0.87/1.68 (assume @p269 (forall @t34 (=> @t592 (forall @t600 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t579) @t599)) @t605))))) % 0.87/1.68 (assume @p270 (forall @t34 (=> @t592 (forall @t602 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t583) @t601)) @t605))))) % 0.87/1.68 (assume @p271 (forall @t20 (=> @t123 (forall @t482 (=> @t481 @t459))))) % 0.87/1.68 (assume @p272 (forall @t147 (=> (and @t137 @t123) (forall @t546 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t610) @t202)) (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t540 @t201)) (=> (forall @t531 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t539 @t527) @t292)) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t609) @t608)))) @t607))))))) % 0.87/1.68 (assume @p273 (forall @t147 (=> @t548 (forall @t546 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t610) @t202)) (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t543 @t201)) (=> (forall @t531 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t121 @t527) @t292)) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t609) @t608)))) @t607))))))) % 0.87/1.68 (assume @p274 (forall @t20 (=> @t613 (forall @t612 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t597 @t610)) (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t539 @t201) @t223)) (=> (forall @t531 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t539 @t292) @t527)) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t608) @t609)))) @t611))))))) % 0.87/1.68 (assume @p275 (forall @t20 (=> @t613 (forall @t612 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t306 @t610)) (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t121 @t201) @t223)) (=> (forall @t531 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t121 @t292) @t527)) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t608) @t609)))) @t611))))))) % 0.87/1.68 (assume @p276 (forall @t20 (=> @t613 (forall @t615 (=> @t598 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t539 @t542) @t223)) (=> (forall @t531 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t533 @t527)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t480 @t529)))) @t614))))))) % 0.87/1.68 (assume @p277 (forall @t20 (=> @t613 (forall @t615 (=> @t605 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t121 @t542) @t223)) (=> (forall @t531 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t534 @t527)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t42 @t539 @t399) @t529)))) @t614))))))) % 0.87/1.68 (assume @p278 (forall @t625 (=> @t624 (not (=> @t622 (not @t619)))))) % 0.87/1.68 (assume @p279 (forall @t631 (=> @t565 (=> @t630 @t628)))) % 0.87/1.68 (assume @p280 (forall @t636 (=> @t565 @t635))) % 0.87/1.68 (assume @p281 (forall @t631 (= @t639 (and @t565 (not @t628))))) % 0.87/1.68 (assume @p282 (forall @t631 (= @t565 (or @t639 @t628)))) % 0.87/1.68 (assume @p283 (forall @t631 (=> @t639 @t565))) % 0.87/1.68 (assume @p284 (forall @t643 (=> @t639 (=> @t642 @t641)))) % 0.87/1.68 (assume @p285 (forall @t643 (=> @t565 @t644))) % 0.87/1.68 (assume @p286 (forall (@list @t13 @t14 @t645 @t200 @t175 @t174) (=> @t648 (=> @t647 @t646)))) % 0.87/1.68 (assume @p287 (forall @t631 (=> @t628 (not (=> @t565 (not @t630)))))) % 0.87/1.68 (assume @p288 (forall (@list @t14 @t13 @t175 @t174 @t200 @t645) (=> @t647 (=> @t648 @t646)))) % 0.87/1.68 (assume @p289 (forall @t643 (=> @t565 (=> @t642 @t649)))) % 0.87/1.68 (assume @p290 (forall (@list @t14 @t175 @t401 @t428) (=> @t565 (=> @t403 @t650)))) % 0.87/1.68 (assume @p291 (forall (@list @t14 @t428 @t175 @t401) (=> @t403 (=> @t565 @t650)))) % 0.87/1.68 (assume @p292 (forall (@list @t14 @t175 @t200 @t645) (=> @t653 (=> @t652 @t651)))) % 0.87/1.68 (assume @p293 (forall @t631 (=> @t628 @t630))) % 0.87/1.68 (assume @p294 (forall @t631 (=> @t628 @t565))) % 0.87/1.68 (assume @p295 (forall (@list @t14 @t645 @t200 @t175) (=> @t652 (=> @t653 @t651)))) % 0.87/1.68 (assume @p296 (forall @t631 (= @t628 (and @t565 @t630)))) % 0.87/1.68 (assume @p297 (forall @t500 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t564 @t401)))) % 0.87/1.68 (assume @p298 (forall (@list @t14 @t411 @t410) (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t16 @t73 @t553 @t656) @t655)) (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t16 @t73 @t553 @t411) @t410))))) % 0.87/1.68 (assume @p299 (forall @t658 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t657 @t616))))) % 0.87/1.68 (assume @p300 (forall @t666 (= @t665 (or @t663 @t661)))) % 0.87/1.68 (assume @p301 (forall @t352 (=> (not @t479) (=> (not @t668) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t342) @t341)))))) % 0.87/1.68 (assume @p302 (forall @t672 (=> @t671 @t670))) % 0.87/1.68 (assume @p303 (forall (@list @t674 @t673) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t674) @t673)) (not (= @t674 @t673))))) % 0.87/1.68 (assume @p304 (forall @t676 (=> (=> @t663 @t675) (=> (=> @t664 @t675) (=> (=> @t661 @t675) @t675))))) % 0.87/1.68 (assume @p305 (forall @t680 (= @t679 @t678))) % 0.87/1.68 (assume @p306 (forall @t684 (= (tptp.hAPP tptp.nat tptp.nat @t681 @t683) (tptp.hAPP tptp.nat tptp.nat @t682 (tptp.hAPP tptp.nat tptp.nat @t681 @t354))))) % 0.87/1.68 (assume @p307 (forall @t685 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 @t679) @t617) (tptp.hAPP tptp.nat tptp.nat @t623 (tptp.hAPP tptp.nat tptp.nat @t677 @t617))))) % 0.87/1.68 (assume @p308 (forall @t690 (= (= @t689 @t688) @t664))) % 0.87/1.68 (assume @p309 (forall @t695 (= (= @t694 @t692) @t664))) % 0.87/1.68 (assume @p310 (forall @t658 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t696 @t616)))) % 0.87/1.68 (assume @p311 (forall @t680 (or @t622 @t697))) % 0.87/1.68 (assume @p312 (forall @t680 (=> @t669 @t622))) % 0.87/1.68 (assume @p313 (forall @t702 (=> @t701 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 @t700) @t617)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t699 @t617)))))) % 0.87/1.68 (assume @p314 (forall @t680 (=> @t622 (=> @t697 @t669)))) % 0.87/1.68 (assume @p315 (forall (@list @t686 @t703) (tptp.hBOOL (tptp.hAPP @t237 tptp.bool (tptp.hAPP @t113 @t707 @t706 @t705) @t703)))) % 0.87/1.68 (assume @p316 (forall @t711 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t710 @t698))))) % 0.87/1.68 (assume @p317 (forall (@list @t700 @t698) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 (tptp.hAPP tptp.nat tptp.nat @t712 @t698)) @t698))))) % 0.87/1.68 (assume @p318 (forall @t690 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t689) @t688)) @t663))) % 0.87/1.68 (assume @p319 (forall @t716 (=> @t715 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t714 @t713))))) % 0.87/1.68 (assume @p320 (forall @t716 (=> @t715 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t714 @t717))))) % 0.87/1.68 (assume @p321 (forall @t702 (=> @t715 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t720 @t718))))) % 0.87/1.68 (assume @p322 (forall @t724 (=> @t715 (=> @t723 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t720 @t722)))))) % 0.87/1.68 (assume @p323 (forall (@list @t620 @t616 @t617 @t721) (=> @t723 (=> (= (tptp.hAPP tptp.nat tptp.nat @t623 @t721) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 @t617) @t616)) @t726)))) % 0.87/1.68 (assume @p324 (forall (@list @t698 @t700 @t617) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t710 @t617)) @t727))) % 0.87/1.68 (assume @p325 (forall @t666 (= @t663 (and @t729 @t665)))) % 0.87/1.68 (assume @p326 (forall @t666 (= @t729 @t730))) % 0.87/1.68 (assume @p327 (forall @t680 (=> @t726 @t622))) % 0.87/1.68 (assume @p328 (forall @t680 (=> @t622 (=> @t670 @t726)))) % 0.87/1.68 (assume @p329 (forall @t680 (=> (or @t726 @t669) @t622))) % 0.87/1.68 (assume @p330 (forall @t672 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t696 @t679)))) % 0.87/1.68 (assume @p331 (forall @t672 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t696 @t678)))) % 0.87/1.68 (assume @p332 (forall @t666 (= @t729 (exists @t733 (= @t328 @t732))))) % 0.87/1.68 (assume @p333 (forall @t690 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 @t689) @t688)) @t729))) % 0.87/1.68 (assume @p334 (forall @t716 (=> @t701 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t699 @t713))))) % 0.87/1.68 (assume @p335 (forall @t716 (=> @t701 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t699 @t717))))) % 0.87/1.68 (assume @p336 (forall @t702 (=> @t701 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t734 @t718))))) % 0.87/1.68 (assume @p337 (forall @t724 (=> @t701 (=> @t735 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t734 @t722)))))) % 0.87/1.68 (assume @p338 (forall @t625 (=> @t624 @t619))) % 0.87/1.68 (assume @p339 (forall @t625 (=> @t624 @t622))) % 0.87/1.68 (assume @p340 (forall (@list @t13 @t14 @t645 @t200) (=> (forall @t531 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t14 @t42 @t200 @t292) @t527)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t14 @t42 @t645 @t292) @t527)))) @t647))) % 0.87/1.68 (assume @p341 (forall (@list @t13 @t14 @t428 @t640 @t401) (=> (forall @t298 (=> @t489 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t42 @t43 @t736 @t507) (tptp.hAPP @t14 @t42 @t640 @t292))))) (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t552 (tptp.hAPP @t64 @t78 @t433 @t640)))))) % 0.87/1.68 (assume @p342 (forall @t738 (=> (forall @t298 (=> @t489 @t737)) @t565))) % 0.87/1.68 (assume @p343 (forall (@list @t659 @t686 @t395) (=> (forall (@list @t332 @t450) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t740 @t450)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 (tptp.hAPP tptp.nat tptp.nat @t395 @t332)) @t739)))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 (tptp.hAPP tptp.nat tptp.nat @t395 @t659)) @t686)) (tptp.hAPP tptp.nat tptp.nat @t395 @t694)))))) % 0.87/1.68 (assume @p344 (forall (@list @t318 @t741 @t395) (=> (forall (@list @t206 @t743) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t745 @t743)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t744) (tptp.hAPP tptp.nat tptp.nat @t395 @t743))))) (=> @t742 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 (tptp.hAPP tptp.nat tptp.nat @t395 @t318)) (tptp.hAPP tptp.nat tptp.nat @t395 @t741))))))) % 0.87/1.68 (assume @p345 (forall @t361 (=> @t748 @t747))) % 0.87/1.68 (assume @p346 (forall @t749 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t746 @t354)) @t747))) % 0.87/1.68 (assume @p347 (forall @t352 (=> @t668 @t748))) % 0.87/1.68 (assume @p348 (forall @t636 (=> @t639 @t635))) % 0.87/1.68 (assume @p349 (forall @t643 (=> @t639 @t644))) % 0.87/1.68 (assume @p350 (forall @t749 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t667 @t354)) @t750))) % 0.87/1.68 (assume @p351 (forall @t361 (=> @t668 @t750))) % 0.87/1.68 (assume @p352 (forall (@list @t13 @t14 @t411 @t175 @t174) (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t14 @t42 (tptp.hAPP @t66 @t64 @t63 @t411) @t175) @t174)) (tptp.hBOOL (tptp.hAPP @t66 tptp.bool (tptp.hAPP @t65 @t413 @t412 (tptp.hAPP @t13 @t65 (tptp.hAPP @t14 @t127 @t126 @t175) @t174)) @t411))))) % 0.87/1.68 (assume @p353 (forall @t510 (=> @t751 @t502))) % 0.87/1.68 (assume @p354 (exists (@list @t752) (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t322 @t321 @t752) tptp.arrow_1568854078le_Lin)))) % 0.87/1.68 (assume @p355 (forall (@list @t13 @t14 @t428 @t395 @t393 @t401) (=> (forall @t537 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t14 @t73 @t168 @t536) @t401)) (= (tptp.hAPP @t14 @t13 @t395 @t536) (tptp.hAPP @t14 @t13 @t393 @t536)))) (= @t438 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t753 @t434)))))) % 0.87/1.68 (assume @p356 (forall @t761 (=> @t502 (=> @t490 @t760)))) % 0.87/1.68 (assume @p357 (forall @t763 (=> (forall @t298 (=> @t489 @t762)) @t490))) % 0.87/1.68 (assume @p358 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.finite_finite_1 tptp.arrow_1998540521e_indi) @t242))) % 0.87/1.68 (assume @p359 (forall (@list @t14 @t13 @t393 @t395 @t401 @t428) (=> @t502 (=> @t490 (=> (tptp.hBOOL (tptp.hAPP @t770 tptp.bool (tptp.hAPP @t36 (tptp.fun @t770 tptp.bool) (tptp.member @t36) @t393) (tptp.hAPP @t769 @t770 (tptp.hAPP @t42 (tptp.fun @t769 @t770) (tptp.pi @t13 @t14) @t428) (tptp.hAPP @t16 @t769 (tptp.combk @t16 @t13) @t401)))) (=> @t768 @t766)))))) % 0.87/1.68 (assume @p360 (forall @t500 (=> @t765 (tptp.hBOOL (tptp.hAPP @t73 tptp.bool (tptp.finite_finite_1 @t16) (tptp.hAPP @t73 @t73 (tptp.collect @t16) (tptp.hAPP @t16 @t73 (tptp.hAPP @t771 @t771 (tptp.combc @t16 @t16 tptp.bool) @t553) @t401))))))) % 0.87/1.68 (assume @p361 (forall @t631 (=> @t774 (=> @t565 (=> @t773 @t639))))) % 0.87/1.68 (assume @p362 (forall @t631 (=> @t774 (=> @t639 @t773)))) % 0.87/1.68 (assume @p363 (forall @t631 (=> @t774 (=> @t565 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 @t772) @t756)) @t628))))) % 0.87/1.68 (assume @p364 (forall @t631 (=> @t774 (=> @t565 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t757 @t772)))))) % 0.87/1.68 (assume @p365 (forall @t779 (tptp.hBOOL (tptp.hAPP @t237 tptp.bool @t778 (tptp.hAPP @t237 @t237 @t777 (tptp.hAPP tptp.nat @t237 @t776 @t686)))))) % 0.87/1.68 (assume @p366 (forall @t789 (=> (or @t788 @t787) (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t764 @t785))))) % 0.87/1.68 (assume @p367 (forall @t779 (tptp.hBOOL (tptp.hAPP @t237 tptp.bool @t778 (tptp.hAPP @t237 @t237 @t777 (tptp.hAPP tptp.nat @t237 @t790 @t686)))))) % 0.87/1.68 (assume @p368 (not (tptp.hBOOL (tptp.hAPP @t237 tptp.bool @t778 @t791)))) % 0.87/1.68 (assume @p369 (forall @t34 (=> @t793 (forall @t792 @t765)))) % 0.87/1.68 (assume @p370 (= (tptp.hAPP @t794 tptp.nat (tptp.finite_card tptp.product_unit) (tptp.top_top @t794)) @t415)) % 0.87/1.68 (assume @p371 (forall @t797 (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t764 @t796)) (and @t788 @t787)))) % 0.87/1.68 (assume @p372 (forall @t329 (= (tptp.hAPP @t237 tptp.nat @t799 @t798) @t328))) % 0.87/1.68 (assume @p373 (forall @t631 (=> @t774 (=> @t565 @t765)))) % 0.87/1.68 (assume @p374 (forall @t631 (=> @t565 (=> @t774 @t765)))) % 0.87/1.68 (assume @p375 (forall @t34 (= (tptp.hBOOL (tptp.hAPP @t802 tptp.bool (tptp.finite_finite_1 @t801) (tptp.top_top @t802))) @t800))) % 0.87/1.68 (assume @p376 (forall @t20 (= (tptp.hBOOL (tptp.hAPP @t150 tptp.bool @t805 @t804)) (and @t800 @t803)))) % 0.87/1.68 (assume @p377 (forall @t147 (=> @t800 (=> @t803 (tptp.hBOOL (tptp.hAPP @t66 tptp.bool (tptp.finite_finite_1 @t65) (tptp.top_top @t66))))))) % 0.87/1.68 (assume @p378 (forall @t34 (=> @t793 @t800))) % 0.87/1.68 (assume @p379 (forall @t405 (=> @t788 (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t764 (tptp.hAPP @t16 @t16 @t143 (tptp.hAPP @t16 @t16 (tptp.hAPP @t161 @t144 (tptp.combb tptp.bool tptp.bool @t14) tptp.fNot) @t200)))) @t800)))) % 0.87/1.68 (assume @p380 (forall @t500 (=> @t800 (=> (= @t756 @t806) (= @t627 @t300))))) % 0.87/1.68 (assume @p381 (forall @t20 (=> @t807 @t803))) % 0.87/1.68 (assume @p382 (forall (@list @t200 @t318) (tptp.hBOOL (tptp.hAPP @t237 tptp.bool @t778 (tptp.hAPP @t237 @t237 @t777 (tptp.hAPP @t237 @t237 (tptp.hAPP @t809 @t812 @t811 (tptp.hAPP @t237 @t809 @t810 @t200)) @t808)))))) % 0.87/1.68 (assume @p383 (forall @t500 (=> (not @t800) (=> @t765 (exists @t814 (not @t813)))))) % 0.87/1.68 (assume @p384 (forall @t819 (= @t818 (exists @t336 (forall @t298 (=> @t817 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 @t292) @t332)))))))) % 0.87/1.68 (assume @p385 (forall @t819 (= @t818 (exists @t336 (forall @t298 (=> @t817 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t820 @t332)))))))) % 0.87/1.68 (assume @p386 (forall @t825 (=> @t765 (=> @t759 @t824)))) % 0.87/1.68 (assume @p387 (forall @t831 (=> @t830 (=> @t829 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t828 @t401)) (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t395 @t827) @t826) @t826)))))) % 0.87/1.68 (assume @p388 (forall (@list @t13 @t14 @t175 @t395 @t182 @t393 @t290) (=> @t830 (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t395 @t175) @t175) @t385)))) % 0.87/1.68 (assume @p389 (forall @t833 (=> @t832 @t759))) % 0.87/1.68 (assume @p390 (forall @t833 (=> @t832 @t765))) % 0.87/1.68 (assume @p391 (forall @t825 (=> @t765 (=> @t759 @t832)))) % 0.87/1.68 (assume @p392 (forall @t833 (= @t832 @t834))) % 0.87/1.68 (assume @p393 (forall (@list @t13 @t14 @t175 @t401 @t395 @t182 @t393 @t290) (=> @t830 (=> @t829 (=> @t837 (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t395 @t835) @t826) @t826)))))) % 0.87/1.68 (assume @p394 (forall @t147 (= (tptp.hAPP @t42 @t150 (tptp.hAPP @t16 @t151 @t148 @t300) @t442) @t804))) % 0.87/1.68 (assume @p395 (forall (@list @t838 @t395) (=> (forall @t454 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 @t450) @t739))) (tptp.hBOOL (tptp.hAPP @t237 tptp.bool @t778 (tptp.hAPP @t237 @t237 @t777 (tptp.hAPP tptp.nat @t237 (tptp.hAPP @t253 @t253 @t775 (tptp.hAPP @t113 @t253 (tptp.hAPP @t253 (tptp.fun @t113 @t253) (tptp.combb tptp.nat @t237 tptp.nat) @t334) @t395)) @t838))))))) % 0.87/1.68 (assume @p396 (forall (@list @t328 @t703) (=> (forall @t298 (=> @t817 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t820 @t328)))) @t818))) % 0.87/1.68 (assume @p397 (forall @t825 (and (=> @t834 @t824) (=> (not @t834) (= @t823 @t839))))) % 0.87/1.68 (assume @p398 (forall @t840 (=> (forall @t531 (=> @t489 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t14 @t73 @t168 @t527) @t401)) @t530))) @t490))) % 0.87/1.68 (assume @p399 (forall @t843 (=> (forall @t814 (=> @t813 (= (tptp.hAPP @t14 @t13 @t395 @t272) (tptp.hAPP @t14 @t13 @t393 @t272)))) (= @t490 @t842)))) % 0.87/1.68 (assume @p400 (forall @t658 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t657 @t839))))) % 0.87/1.68 (assume @p401 (forall @t658 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 @t839) @t616)))) % 0.87/1.68 (assume @p402 (forall @t34 (=> @t102 (forall @t304 (= (= @t101 @t385) @t844))))) % 0.87/1.68 (assume @p403 (forall @t34 (=> @t846 @t845))) % 0.87/1.68 (assume @p404 (forall @t34 (=> @t91 @t845))) % 0.87/1.68 (assume @p405 (forall @t34 (=> @t849 (forall @t308 (= (= @t101 @t848) @t847))))) % 0.87/1.68 (assume @p406 (forall @t34 (=> @t846 @t850))) % 0.87/1.68 (assume @p407 (forall @t34 (=> @t91 @t850))) % 0.87/1.68 (assume @p408 (forall @t34 (=> @t851 (not (= @t101 @t87))))) % 0.87/1.68 (assume @p409 (forall @t34 (=> @t851 (not (= @t87 @t101))))) % 0.87/1.68 (assume @p410 (forall @t329 (= (not @t854) @t853))) % 0.87/1.68 (assume @p411 (forall @t680 (=> @t726 @t856))) % 0.87/1.68 (assume @p412 (forall @t658 (=> @t856 @t857))) % 0.87/1.68 (assume @p413 (forall @t658 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 @t839) @t616) @t616))) % 0.87/1.68 (assume @p414 (forall @t858 (= (tptp.hAPP tptp.nat tptp.nat @t623 @t839) @t620))) % 0.87/1.68 (assume @p415 (forall @t666 (= (= @t860 @t839) (and @t859 @t854)))) % 0.87/1.68 (assume @p416 (forall @t680 (=> (= @t679 @t620) @t855))) % 0.87/1.68 (assume @p417 (forall @t329 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t861 @t839)) @t854))) % 0.87/1.68 (assume @p418 (forall @t34 (=> @t864 (forall @t379 (=> @t863 (=> @t862 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t572) @t101)))))))) % 0.87/1.68 (assume @p419 (forall @t34 (=> @t864 (forall @t571 (=> @t867 (=> @t469 @t865)))))) % 0.87/1.68 (assume @p420 (forall @t34 (=> @t864 (forall @t869 (=> @t868 (=> @t473 @t865)))))) % 0.87/1.68 (assume @p421 (forall @t34 (=> @t864 (forall @t389 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t175)) (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t174)) (= (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 @t175) @t174) @t101) @t871))))))) % 0.87/1.68 (assume @p422 (forall @t34 (=> @t864 (forall @t379 (=> @t868 (=> @t872 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t572)))))))) % 0.87/1.68 (assume @p423 (forall @t34 (=> @t849 (forall @t308 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t848) @t101)) @t873))))) % 0.87/1.68 (assume @p424 (forall @t34 (=> @t849 (forall @t308 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t848)) @t874))))) % 0.87/1.68 (assume @p425 (forall @t34 (=> @t864 (forall @t379 (=> @t878 @t877))))) % 0.87/1.68 (assume @p426 (forall @t34 (=> @t515 (forall @t869 (=> @t882 @t880))))) % 0.87/1.68 (assume @p427 (forall @t34 (=> @t864 (forall @t379 (=> @t882 @t885))))) % 0.87/1.68 (assume @p428 (forall @t34 (=> @t849 @t887))) % 0.87/1.68 (assume @p429 (forall @t34 (=> @t849 (forall @t308 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t881 @t848)) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t881 @t202))))))) % 0.87/1.68 (assume @p430 (forall @t34 (=> @t515 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t87))))) % 0.87/1.68 (assume @p431 (forall @t34 (=> @t515 (not (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t87) @t101)))))) % 0.87/1.68 (assume @p432 (forall @t34 (=> @t515 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t881 @t87))))) % 0.87/1.68 (assume @p433 (forall @t34 (=> @t515 (not (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t888 @t101)))))) % 0.87/1.68 (assume @p434 (forall @t666 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t852 @t860)) (or @t889 @t853)))) % 0.87/1.68 (assume @p435 (forall @t500 @t892)) % 0.87/1.68 (assume @p436 (forall @t34 (=> @t864 (forall @t379 (=> @t863 @t877))))) % 0.87/1.68 (assume @p437 (forall @t34 (=> @t864 (forall @t379 (=> @t878 (=> @t862 @t875)))))) % 0.87/1.68 (assume @p438 (forall @t34 (=> @t864 (forall @t869 (=> @t868 @t880))))) % 0.87/1.68 (assume @p439 (forall @t34 (=> @t864 (forall @t869 (=> @t882 (=> @t473 @t879)))))) % 0.87/1.68 (assume @p440 (forall @t34 (=> @t864 (forall @t379 (=> @t868 @t885))))) % 0.87/1.68 (assume @p441 (forall @t34 (=> @t864 (forall @t379 (=> @t882 (=> @t872 @t883)))))) % 0.87/1.68 (assume @p442 (forall @t34 (=> @t515 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t881 @t894))))) % 0.87/1.68 (assume @p443 (forall @t500 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t852 @t756)) @t765))) % 0.87/1.68 (assume @p444 (forall @t34 (=> @t800 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t852 @t806))))) % 0.87/1.68 (assume @p445 (forall @t900 (=> @t899 (=> @t897 (exists @t733 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t731) @t328)) (forall @t209 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 @t206) @t731)) @t896)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t200 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 @t731) @t415))))))))) % 0.87/1.68 (assume @p446 (forall @t500 (=> @t765 (=> (=> (exists @t298 @t489) @t901) @t890)))) % 0.87/1.68 (assume @p447 (forall @t900 (=> @t899 (=> @t897 (exists @t733 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 @t731) @t328)) (forall @t209 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t745 @t731)) @t896)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t200 @t731)))))))) % 0.87/1.68 (assume @p448 (forall @t711 (=> @t715 (exists @t733 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t852 @t731)) (= (tptp.hAPP tptp.nat tptp.nat @t708 @t731) @t700)))))) % 0.87/1.68 (assume @p449 (forall @t34 (=> @t568 @t887))) % 0.87/1.68 (assume @p450 (forall @t20 (=> @t807 (=> (not (= (tptp.hAPP @t42 tptp.nat @t754 @t442) @t902)) @t800)))) % 0.87/1.68 (assume @p451 (forall @t658 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t657 @t903)))) % 0.87/1.68 (assume @p452 (forall @t680 (=> @t726 @t906))) % 0.87/1.68 (assume @p453 (forall @t658 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t852 @t903)))) % 0.87/1.68 (assume @p454 (forall @t352 (=> (= (tptp.hAPP tptp.nat tptp.nat tptp.suc @t341) (tptp.hAPP tptp.nat tptp.nat tptp.suc @t342)) @t479))) % 0.87/1.68 (assume @p455 (forall (@list @t908 @t907) (= (= @t909 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t907)) (= @t908 @t907)))) % 0.87/1.68 (assume @p456 (forall @t658 (not (= @t903 @t616)))) % 0.87/1.68 (assume @p457 (forall @t658 (not (= @t616 @t903)))) % 0.87/1.68 (assume @p458 (forall @t858 (not (= @t904 @t839)))) % 0.87/1.68 (assume @p459 (forall @t858 (not (= @t839 @t904)))) % 0.87/1.68 (assume @p460 (forall (@list @t910) (not (= (tptp.hAPP tptp.nat tptp.nat tptp.suc @t910) @t839)))) % 0.87/1.68 (assume @p461 (forall (@list @t911) (not (= @t839 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t911))))) % 0.87/1.68 (assume @p462 (forall @t680 (=> @t906 @t726))) % 0.87/1.68 (assume @p463 (forall @t680 (=> @t912 @t726))) % 0.87/1.68 (assume @p464 (forall @t680 (=> @t913 (=> (not @t726) @t669)))) % 0.87/1.68 (assume @p465 (forall @t702 (=> @t715 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t700) @t617)) @t915)))) % 0.87/1.68 (assume @p466 (forall @t680 (=> @t726 (=> (not (= @t904 @t616)) @t912)))) % 0.87/1.68 (assume @p467 (forall @t680 (=> @t726 @t913))) % 0.87/1.68 (assume @p468 (forall @t672 (=> (not @t671) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t657 @t904)) @t669)))) % 0.87/1.68 (assume @p469 (forall @t920 (=> @t919 @t918))) % 0.87/1.68 (assume @p470 (forall @t666 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t916) @t921)) @t663))) % 0.87/1.68 (assume @p471 (forall @t666 (= @t922 @t730))) % 0.87/1.68 (assume @p472 (forall @t666 (= (not @t663) @t917))) % 0.87/1.68 (assume @p473 (forall @t680 (= @t924 @t923))) % 0.87/1.68 (assume @p474 (forall @t680 (= @t924 @t925))) % 0.87/1.68 (assume @p475 (forall @t680 (= @t923 @t925))) % 0.87/1.68 (assume @p476 (forall @t680 (=> @t926 @t622))) % 0.87/1.68 (assume @p477 (forall @t680 (=> @t927 (=> (not @t622) (= @t620 @t903))))) % 0.87/1.68 (assume @p478 (forall @t680 (=> @t622 @t927))) % 0.87/1.68 (assume @p479 (forall @t920 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t928 @t916)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t861 @t659))))) % 0.87/1.68 (assume @p480 (forall @t666 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t728 @t921)) (or @t729 (= @t659 @t921))))) % 0.87/1.68 (assume @p481 (forall @t666 (= (not @t729) @t929))) % 0.87/1.68 (assume @p482 (forall @t658 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t930 @t616))))) % 0.87/1.68 (assume @p483 (forall @t819 (tptp.hBOOL (tptp.hAPP @t237 tptp.bool (tptp.hAPP @t113 @t707 @t706 tptp.suc) @t703)))) % 0.87/1.68 (assume @p484 (forall @t329 (= @t853 (exists @t336 (= @t328 @t931))))) % 0.87/1.68 (assume @p485 (forall @t329 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t660 @t902)) @t854))) % 0.87/1.68 (assume @p486 (forall @t666 (= @t922 (or @t859 (exists @t933 (and (= @t659 @t932) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t743) @t328)))))))) % 0.87/1.68 (assume @p487 (forall @t666 (= (= @t860 @t902) @t936))) % 0.87/1.68 (assume @p488 (forall @t666 (= (= @t902 @t860) @t936))) % 0.87/1.68 (assume @p489 (forall @t937 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t714 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t708 @t620)))))) % 0.87/1.68 (assume @p490 (forall @t937 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t714 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t623 @t698)))))) % 0.87/1.68 (assume @p491 (forall @t666 (= @t663 (exists @t733 (= @t328 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t732)))))) % 0.87/1.68 (assume @p492 (forall @t920 (= @t661 @t929))) % 0.87/1.68 (assume @p493 (forall @t666 (= @t922 @t729))) % 0.87/1.68 (assume @p494 (forall @t666 (= @t938 @t663))) % 0.87/1.68 (assume @p495 (forall @t680 (=> @t622 @t913))) % 0.87/1.68 (assume @p496 (forall @t680 (=> @t726 @t926))) % 0.87/1.68 (assume @p497 (forall @t666 (=> @t729 @t918))) % 0.87/1.68 (assume @p498 (forall @t680 (=> @t926 @t726))) % 0.87/1.68 (assume @p499 (= @t415 @t902)) % 0.87/1.68 (assume @p500 (forall @t298 (= @t820 (tptp.hAPP tptp.nat @t237 @t334 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t292))))) % 0.87/1.68 (assume @p501 (forall @t329 (= (tptp.hAPP @t237 tptp.nat @t799 (tptp.hAPP @t237 @t237 @t777 (tptp.hAPP tptp.nat @t237 @t776 @t328))) @t921))) % 0.87/1.68 (assume @p502 (forall @t946 (=> @t945 (= (tptp.hAPP tptp.nat tptp.nat tptp.suc @t944) @t943)))) % 0.87/1.68 (assume @p503 (forall @t946 (=> @t945 (not (= @t943 @t839))))) % 0.87/1.68 (assume @p504 (forall @t946 (=> (not @t945) (= @t944 @t943)))) % 0.87/1.68 (assume @p505 (forall @t34 (=> @t849 (forall @t308 @t947)))) % 0.87/1.68 (assume @p506 (forall (@list @t200 @t318 @t741) (=> @t742 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t200 @t741)) (=> (forall @t209 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t745 @t741)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t200 @t948)) @t895))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t200 @t318))))))) % 0.87/1.68 (assume @p507 (forall @t680 (=> @t726 (exists @t733 (= @t616 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t623 @t731))))))) % 0.87/1.68 (assume @p508 (forall @t658 (=> @t857 @t949))) % 0.87/1.68 (assume @p509 (forall @t34 (=> @t137 (forall @t956 (=> (forall @t454 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t955) @t954))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t861 @t950)) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t952) @t951)))))))) % 0.87/1.68 (assume @p510 (forall @t34 (=> @t137 (forall (@list @t328 @t659 @t395) (=> @t959 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t958 @t957)) @t661)))))) % 0.87/1.68 (assume @p511 (forall @t34 (=> @t137 (forall @t956 (=> @t959 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t660 @t950)) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t958 @t951)))))))) % 0.87/1.68 (assume @p512 (forall @t658 (= @t903 (tptp.hAPP tptp.nat tptp.nat @t677 @t415)))) % 0.87/1.68 (assume @p513 (forall @t658 (= @t903 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 @t415) @t616)))) % 0.87/1.68 (assume @p514 (forall (@list @t616 @t960) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t930 @t960)) (exists @t336 (= @t960 @t931))))) % 0.87/1.68 (assume @p515 (forall @t962 (=> @t727 (=> (not (= @t617 @t914)) @t961)))) % 0.87/1.68 (assume @p516 (forall @t962 (=> @t915 @t961))) % 0.87/1.68 (assume @p517 (forall @t658 (=> @t856 @t949))) % 0.87/1.68 (assume @p518 (forall (@list @t342) (=> (not (= @t342 @t839)) (not (forall (@list @t963) (not (= @t342 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t963)))))))) % 0.87/1.68 (assume @p519 (forall (@list @t200 @t686) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t200 @t686)) (=> (forall @t454 (=> @t965 @t964)) @t898)))) % 0.87/1.68 (assume @p520 (forall @t900 (=> @t898 (=> (forall @t454 (=> @t964 @t965)) @t897)))) % 0.87/1.68 (assume @p521 (forall @t34 (=> @t966 @t850))) % 0.87/1.68 (assume @p522 (forall @t34 (=> @t966 (forall (@list @t285 @t362) (= @t519 @t570))))) % 0.87/1.68 (assume @p523 (forall @t34 (=> @t966 (forall @t969 (= @t968 (tptp.hAPP @t14 @t14 @t569 (tptp.hAPP @t14 @t14 @t513 @t516))))))) % 0.87/1.68 (assume @p524 (forall @t34 (=> @t966 (forall @t969 (= @t968 (tptp.hAPP @t14 @t14 @t970 @t516)))))) % 0.87/1.68 (assume @p525 (forall @t34 (=> @t966 @t589))) % 0.87/1.68 (assume @p526 (forall @t34 (=> @t966 (forall @t573 (= @t588 (tptp.hAPP @t14 @t14 @t970 @t283)))))) % 0.87/1.68 (assume @p527 (forall @t34 (=> @t966 (forall (@list @t285 @t283 @t362 @t516) (= (tptp.hAPP @t14 @t14 @t587 @t967) (tptp.hAPP @t14 @t14 @t970 @t518)))))) % 0.87/1.68 (assume @p528 (forall @t34 (=> @t972 (forall @t971 (= (= @t576 @t581) @t847))))) % 0.87/1.68 (assume @p529 (forall @t34 (=> @t966 @t845))) % 0.87/1.68 (assume @p530 (forall @t34 (=> (tptp.linordered_field @t14) (forall @t352 (=> (forall (@list @t973) (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t881 @t973)) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t449 (tptp.hAPP @t14 @t14 @t974 @t973))))) @t457))))) % 0.87/1.68 (assume @p531 (forall @t500 (and @t977 @t892))) % 0.87/1.68 (assume @p532 (forall @t500 @t977)) % 0.87/1.68 (assume @p533 (= (tptp.hAPP @t11 @t237 (tptp.hAPP @t170 @t982 @t981 tptp.h) @t242) @t980)) % 0.87/1.68 (assume @p534 (forall (@list @t14 @t13 @t401 @t201 @t395 @t175) (=> @t988 (=> @t837 @t986)))) % 0.87/1.68 (assume @p535 (forall (@list @t13 @t14 @t989 @t290) (=> @t993 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t41 (tptp.hAPP @t16 @t42 @t992 @t290)))))) % 0.87/1.68 (assume @p536 (forall @t996 (tptp.hBOOL (tptp.hAPP @t237 tptp.bool @t778 (tptp.hAPP tptp.nat @t237 @t995 @t838))))) % 0.87/1.68 (assume @p537 (not (forall (@list @t997) (=> (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t170 @t281 @t280 @t997) @t242)) (not (= (tptp.hAPP @t11 @t237 (tptp.hAPP @t170 @t982 @t981 @t997) @t242) @t980)))))) % 0.87/1.68 (assume @p538 (forall @t1003 (=> @t565 @t1002))) % 0.87/1.68 (assume @p539 (forall @t1006 (= @t1005 (exists (@list @t1004) (and (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t42 @t43 @t736 @t1004) @t401)) (= @t626 (tptp.hAPP @t42 @t16 @t983 @t1004))))))) % 0.87/1.68 (assume @p540 (forall (@list @t14 @t13 @t395 @t175) (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t14 @t73 @t168 @t987) @t1007)))) % 0.87/1.68 (assume @p541 (forall (@list @t14 @t13 @t201 @t395 @t175) (=> @t988 @t1008))) % 0.87/1.68 (assume @p542 (forall (@list @t14 @t1009) (= (tptp.hAPP @t16 @t16 (tptp.hAPP @t33 @t144 @t1010 @t32) @t1009) (tptp.ti @t16 @t1009)))) % 0.87/1.68 (assume @p543 (forall (@list @t13 @t14 @t21 @t395 @t393 @t401) (= (tptp.hAPP @t42 @t16 @t983 (tptp.hAPP @t1013 @t42 (tptp.hAPP @t82 (tptp.fun @t1013 @t42) (tptp.image @t21 @t13) @t393) @t401)) (tptp.hAPP @t1013 @t16 (tptp.hAPP @t132 @t1014 @t1012 (tptp.hAPP @t82 @t132 (tptp.hAPP @t36 @t1011 (tptp.combb @t13 @t14 @t21) @t395) @t393)) @t401)))) % 0.87/1.68 (assume @p544 (forall (@list @t14 @t13 @t182 @t395 @t401) (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t14 @t73 @t168 @t182) @t984)) (exists @t298 (and @t1017 (= @t1015 @t608)))))) % 0.87/1.68 (assume @p545 (forall (@list @t13 @t14 @t395 @t175 @t401) (=> @t403 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t431 @t1000))))) % 0.87/1.68 (assume @p546 (forall (@list @t13 @t14 @t201 @t395 @t175 @t401) (=> @t403 (=> (= @t287 @t422) (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t1018 @t1000)))))) % 0.87/1.68 (assume @p547 (forall @t34 (=> @t139 (forall @t1027 (=> @t1026 (=> @t605 (=> @t1023 @t1021))))))) % 0.87/1.68 (assume @p548 (forall @t34 (=> @t139 (forall @t1027 (=> @t1026 (=> @t605 (=> @t1023 @t1028))))))) % 0.87/1.68 (assume @p549 (forall @t34 (=> @t139 (forall @t1029 (=> @t605 (=> @t1023 (= @t1026 (and @t1028 @t1021)))))))) % 0.87/1.68 (assume @p550 (forall @t1033 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t493 @t984)) (= (tptp.hAPP @t13 @t14 @t395 (tptp.hAPP @t14 @t13 @t1032 @t174)) @t384)))) % 0.87/1.68 (assume @p551 (forall @t505 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t302 @t984)) (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t13 @t43 @t430 (tptp.hAPP @t14 @t13 @t1032 @t175)) @t401))))) % 0.87/1.68 (assume @p552 (forall (@list @t13 @t14 @t401 @t395 @t175 @t174) (=> (= (tptp.hAPP @t13 @t14 @t504 @t175) @t506) (=> @t1035 (=> @t1034 (= (tptp.ti @t13 @t175) @t421)))))) % 0.87/1.68 (assume @p553 (forall (@list @t13 @t14 @t21 @t395 @t393) (= (tptp.hAPP @t42 @t16 (tptp.hAPP @t36 @t146 @t145 (tptp.hAPP @t25 @t36 (tptp.hAPP @t132 @t1040 (tptp.combb @t21 @t14 @t13) @t395) @t393)) @t442) (tptp.hAPP @t1013 @t16 @t1039 (tptp.hAPP @t42 @t1013 @t1038 @t442))))) % 0.87/1.68 (assume @p554 (forall (@list @t13 @t14 @t428 @t395 @t401) (=> @t765 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t828 @t1000)) @t759)))) % 0.87/1.68 (assume @p555 (forall @t491 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t764 @t984)) (=> @t1041 @t829)))) % 0.87/1.68 (assume @p556 (forall @t1044 (=> @t425 (= (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t1018 @t1043)) (exists @t298 (and (= @t287 @t399) (forall @t1042 (=> (= @t287 @t529) (= @t528 @t485))))))))) % 0.87/1.68 (assume @p557 (forall (@list @t14 @t13 @t202 @t401 @t395) (=> @t425 (= (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t13 @t43 @t430 @t538) @t1000)) (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1045 @t401)))))) % 0.87/1.68 (assume @p558 (forall @t1047 (=> @t425 @t1046))) % 0.87/1.68 (assume @p559 (forall @t491 (=> @t490 @t1049))) % 0.87/1.68 (assume @p560 (forall (@list @t13 @t14 @t1050 @t395 @t401 @t551) (=> (= @t984 (tptp.ti @t16 @t551)) (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t16 @t73 @t553 @t1050) @t551)) (= (tptp.hAPP @t42 @t16 @t983 (tptp.hAPP @t16 @t42 (tptp.hAPP @t18 @t991 @t990 @t1032) @t1050)) (tptp.ti @t16 @t1050)))))) % 0.87/1.68 (assume @p561 (forall (@list @t13 @t14 @t401 @t395) (=> @t1052 (= (tptp.hAPP @t42 @t16 @t983 (tptp.hAPP @t16 @t42 (tptp.hAPP @t18 @t991 @t990 @t1051) @t401)) @t627)))) % 0.87/1.68 (assume @p562 (forall @t1053 (=> @t1052 (= (tptp.hAPP @t13 @t14 @t395 (tptp.hAPP @t14 @t13 @t1051 @t174)) @t384)))) % 0.87/1.68 (assume @p563 (forall @t1054 (= @t1052 (forall @t298 (= (tptp.hAPP @t13 @t14 @t395 (tptp.hAPP @t14 @t13 @t1051 @t292)) @t485))))) % 0.87/1.68 (assume @p564 (forall @t567 (=> @t566 (=> @t639 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t42 @t43 (tptp.ord_less @t42) @t1000) @t999)))))) % 0.87/1.68 (assume @p565 (forall (@list @t401 @t686) (=> (tptp.hBOOL (tptp.hAPP @t237 tptp.bool (tptp.hAPP @t237 @t707 (tptp.ord_less_eq @t237) @t401) @t1055)) (= @t401 @t1055)))) % 0.87/1.68 (assume @p566 (forall (@list @t21 @t14 @t13 @t395 @t393) (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t764 @t1057)) (tptp.hBOOL (tptp.hAPP @t1013 tptp.bool (tptp.finite_finite_1 @t21) (tptp.hAPP @t42 @t1013 (tptp.hAPP @t25 @t1037 @t1036 (tptp.hAPP @t36 @t25 (tptp.hAPP @t23 @t69 (tptp.combb @t14 @t21 @t13) @t395) @t393)) @t442)))))) % 0.87/1.68 (assume @p567 (forall @t34 (=> @t139 (forall @t1027 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1062 @t1024)) (or @t550 @t1061)))))) % 0.87/1.68 (assume @p568 (forall @t761 (=> @t502 @t1063))) % 0.87/1.68 (assume @p569 (forall @t1068 (=> @t765 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t564 @t1067)) @t1065)))) % 0.87/1.68 (assume @p570 (forall @t1068 (=> @t765 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t16 @t73 @t553 @t1067) @t401)) (=> @t1065 (= @t1067 @t627)))))) % 0.87/1.68 (assume @p571 (forall @t1071 (=> @t800 (=> @t1070 @t1069)))) % 0.87/1.68 (assume @p572 (forall @t1071 (=> @t800 (=> @t1069 @t1070)))) % 0.87/1.68 (assume @p573 (forall @t1047 (=> @t425 (= @t1002 @t565)))) % 0.87/1.68 (assume @p574 (forall @t840 (=> @t765 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 @t1048) @t756))))) % 0.87/1.68 (assume @p575 (forall @t840 (=> @t765 (=> @t1049 @t490)))) % 0.87/1.68 (assume @p576 (forall @t840 (=> @t765 (= @t490 @t1049)))) % 0.87/1.68 (assume @p577 (forall @t491 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 (tptp.hAPP @t16 tptp.nat @t39 @t984)) (tptp.hAPP @t42 tptp.nat @t754 @t401))) (not @t1041)))) % 0.87/1.68 (assume @p578 (forall (@list @t14 @t13 @t410 @t395 @t401) (=> @t490 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t16 @t73 @t553 @t410) @t401)) (= (tptp.hAPP @t42 @t16 (tptp.hAPP @t36 @t146 @t145 @t504) (tptp.hAPP @t16 @t42 @t998 @t410)) (tptp.ti @t16 @t410)))))) % 0.87/1.68 (assume @p579 (forall @t1006 (=> @t1005 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t18 @t73 @t72 @t1032) @t428))))) % 0.87/1.68 (assume @p580 (forall @t1054 (=> @t1052 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t18 @t73 @t72 @t1051) @t300))))) % 0.87/1.68 (assume @p581 (forall (@list @t14 @t13 @t1072 @t395) (=> @t425 (= (tptp.hAPP @t42 @t16 @t1073 (tptp.hAPP @t16 @t42 @t998 @t1072)) (tptp.ti @t16 @t1072))))) % 0.87/1.68 (assume @p582 (forall (@list @t14 @t13 @t401 @t395) (=> @t425 (= (tptp.hAPP @t42 @t16 @t1073 @t1000) @t627)))) % 0.87/1.68 (assume @p583 (forall @t532 (=> @t425 (= (tptp.hAPP @t42 @t16 @t1073 @t442) @t300)))) % 0.87/1.68 (assume @p584 (forall (@list @t14 @t13 @t393 @t428 @t395 @t401) (=> @t490 (=> @t1063 (=> @t768 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t16 @t73 @t553 (tptp.hAPP @t42 @t16 @t1056 @t428)) @t401)) @t766)))))) % 0.87/1.68 (assume @p585 (forall @t1006 (=> @t490 (=> @t1063 @t760)))) % 0.87/1.68 (assume @p586 (forall @t825 (=> @t765 (=> @t759 (= (exists (@list @t1074) (and (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t18 @t73 @t72 @t1074) @t401)) (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t42 @t43 @t736 (tptp.hAPP @t16 @t42 (tptp.hAPP @t18 @t991 @t990 @t1074) @t401)) @t428)))) @t758))))) % 0.87/1.68 (assume @p587 (forall (@list @t14 @t13 @t175 @t200 @t395) (=> @t425 (=> (forall @t1042 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t1075 @t1043)) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t200 (tptp.hAPP @t13 @t14 @t420 @t527))))) @t652)))) % 0.87/1.68 (assume @p588 (forall (@list @t14 @t13 @t201 @t395 @t401) (=> @t986 (not (forall @t298 (=> @t1076 (not @t1017))))))) % 0.87/1.68 (assume @p589 (forall @t1077 (=> @t1052 (=> (forall @t298 (= (tptp.hAPP @t14 @t13 @t393 @t608) @t511)) (= @t1051 @t394))))) % 0.87/1.68 (assume @p590 (forall @t1003 (=> @t774 (=> @t1005 (exists (@list @t1078) (and (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t42 @t43 @t736 @t1078) @t401)) (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t41 @t1078)) (= @t626 (tptp.hAPP @t42 @t16 @t983 @t1078)))))))) % 0.87/1.68 (assume @p591 (forall @t1084 (= (tptp.hAPP @t237 @t237 @t1083 @t1081) (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t978 @t939) @t1079)))) % 0.87/1.68 (assume @p592 (forall (@list @t14 @t401 @t395 @t328) (=> (= @t627 (tptp.hAPP @t237 @t16 (tptp.hAPP @t115 @t1086 @t1085 @t395) @t798)) @t765))) % 0.87/1.68 (assume @p593 (forall @t1090 (= (tptp.hAPP @t237 @t237 @t1089 @t1081) (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t978 @t1088) @t1087)))) % 0.87/1.68 (assume @p594 (forall @t1095 (= (forall @t336 (=> @t1094 @t1093)) (forall @t298 (=> @t1092 @t1091))))) % 0.87/1.68 (assume @p595 (forall @t1095 (= (exists @t336 (and @t1094 @t1093)) (exists @t298 (and @t1092 @t1091))))) % 0.87/1.68 (assume @p596 (forall @t1044 (=> @t1008 (not (forall @t298 (not @t1076)))))) % 0.87/1.68 (assume @p597 (forall @t840 (=> @t891 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t41 @t1000)) (exists @t298 (and @t489 (not (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t764 (tptp.hAPP @t16 @t16 @t143 (tptp.hAPP @t16 @t16 @t1098 (tptp.hAPP @t13 @t16 (tptp.hAPP @t64 @t769 @t1096 (tptp.hAPP @t18 @t64 (tptp.hAPP @t122 (tptp.fun @t18 @t64) (tptp.combb @t13 @t42 @t14) (tptp.fequal @t13)) @t395)) @t399)))))))))))) % 0.87/1.68 (assume @p598 (forall @t500 (= @t765 (exists @t1101 @t1100)))) % 0.87/1.68 (assume @p599 (forall @t500 (=> @t765 (exists @t1101 (and @t1100 (tptp.hBOOL (tptp.hAPP @t237 tptp.bool (tptp.hAPP @t115 @t707 (tptp.inj_on tptp.nat @t14) @t1074) @t1099))))))) % 0.87/1.68 (assume @p600 (forall @t500 (=> @t765 (exists (@list @t1074 @t450) (and (= (tptp.hAPP @t16 @t237 (tptp.hAPP @t158 (tptp.fun @t16 @t237) (tptp.image @t14 tptp.nat) @t1074) @t401) @t1099) (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t158 @t73 (tptp.inj_on @t14 tptp.nat) @t1074) @t401))))))) % 0.87/1.68 (assume @p601 (forall @t763 (=> (forall @t298 (=> @t489 (forall @t296 (=> @t487 (= (= (tptp.hAPP @t14 @t13 @t393 (tptp.hAPP @t14 @t14 @t395 @t292)) (tptp.hAPP @t14 @t13 @t393 (tptp.hAPP @t14 @t14 @t395 @t289))) (= @t398 (tptp.hAPP @t14 @t13 @t393 @t289))))))) (=> @t1065 (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t841 @t1067)) @t842))))) % 0.87/1.68 (assume @p602 (forall @t1053 (=> @t1052 (not (forall @t298 (not @t1102)))))) % 0.87/1.68 (assume @p603 (forall @t1053 (=> @t1052 (exists @t298 @t1102)))) % 0.87/1.68 (assume @p604 (forall @t1077 (=> (forall @t298 @t762) (= @t1057 @t300)))) % 0.87/1.68 (assume @p605 (forall @t1054 (= @t1052 (forall @t1042 (exists @t298 (= @t528 @t608)))))) % 0.87/1.68 (assume @p606 (forall @t510 (=> @t751 @t1063))) % 0.87/1.68 (assume @p607 (= (tptp.hAPP tptp.nat @t237 @t1103 @t839) (tptp.hAPP @t237 @t237 @t1083 @t791))) % 0.87/1.68 (assume @p608 (forall @t34 (=> @t568 (forall @t308 (=> @t1105 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t1104) @t101)) @t886)))))) % 0.87/1.68 (assume @p609 (forall @t666 (= @t938 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP @t237 @t237 (tptp.hAPP tptp.bool @t812 (tptp.nat_case tptp.bool) tptp.fFalse) @t728) @t328))))) % 0.87/1.68 (assume @p610 (forall @t34 (=> @t139 (forall @t390 (= (= @t1107 @t1106) @t386))))) % 0.87/1.68 (assume @p611 (forall @t34 (=> @t108 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t14 @t73 @t168 @t101) @t107))))) % 0.87/1.68 (assume @p612 (forall @t34 (=> @t108 (forall @t971 (=> @t1105 (=> @t1108 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t14 @t73 @t168 @t584) @t107)))))))) % 0.87/1.68 (assume @p613 (forall @t34 (=> @t108 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t14 @t73 @t168 @t87) @t107))))) % 0.87/1.68 (assume @p614 (forall @t34 (=> @t120 (forall @t1110 (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1109 (tptp.hAPP @t14 @t16 @t140 @t686))) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t686) @t318))))))) % 0.87/1.68 (assume @p615 (forall (@list @t14 @t303 @t1111) (= (tptp.hAPP tptp.nat @t14 @t1112 @t839) (tptp.ti @t14 @t303)))) % 0.87/1.68 (assume @p616 (forall (@list @t14 @t303 @t1111 @t908) (= (tptp.hAPP tptp.nat @t14 @t1112 @t909) (tptp.hAPP tptp.nat @t14 @t1111 @t908)))) % 0.87/1.68 (assume @p617 (forall @t34 (=> @t1113 (forall @t308 (=> @t1105 @t947))))) % 0.87/1.68 (assume @p618 (forall @t34 (=> @t139 (forall @t390 (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t16 @t73 @t553 @t1107) @t1106)) @t478))))) % 0.87/1.68 (assume @p619 (forall @t34 (=> @t1113 (forall @t308 (=> @t1105 (not (= @t1104 @t101))))))) % 0.87/1.68 (assume @p620 (forall @t34 (=> @t535 (forall @t1027 (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1116 @t1024)) (=> @t605 @t1115)))))) % 0.87/1.68 (assume @p621 (forall @t34 (=> @t535 (forall @t1027 (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1118 @t1024)) @t1117))))) % 0.87/1.68 (assume @p622 (forall @t1003 (=> @t1120 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t18 @t436 @t435 @t1119) (tptp.hAPP @t64 @t78 (tptp.hAPP @t16 @t79 @t77 @t428) (tptp.hAPP @t42 @t64 @t443 @t401))))))) % 0.87/1.68 (assume @p623 (forall (@list @t14 @t13 @t428 @t175 @t395 @t401) (=> @t490 (=> @t1035 (=> @t565 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t14 @t73 @t168 (tptp.hAPP @t13 @t14 @t1121 @t175)) @t428))))))) % 0.87/1.68 (assume @p624 (forall @t996 (tptp.hBOOL (tptp.hAPP @t237 tptp.bool @t778 @t1123)))) % 0.87/1.68 (assume @p625 (forall @t996 (tptp.hBOOL (tptp.hAPP @t237 tptp.bool @t778 @t1124)))) % 0.87/1.68 (assume @p626 (forall @t840 (= (tptp.hAPP @t42 @t16 (tptp.hAPP @t36 @t146 @t145 (tptp.hAPP @t42 @t36 (tptp.hAPP @t36 (tptp.fun @t42 @t36) (tptp.restrict @t13 @t14) @t395) @t401)) @t401) @t984))) % 0.87/1.68 (assume @p627 (forall @t491 (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t18 @t73 @t72 @t1125) @t401)) @t490))) % 0.87/1.68 (assume @p628 (forall @t495 (=> @t490 (=> @t423 (=> @t403 (= @t1126 @t385)))))) % 0.87/1.68 (assume @p629 (forall @t505 (=> @t490 (=> @t403 (= (tptp.hAPP @t13 @t14 @t1121 @t422) @t385))))) % 0.87/1.68 (assume @p630 (forall @t996 (= (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t978 @t1127) @t838) @t1124))) % 0.87/1.68 (assume @p631 (forall @t427 (=> @t425 (= (tptp.hAPP @t13 @t14 (tptp.hAPP @t18 @t36 (tptp.hAPP @t16 @t75 @t74 @t300) @t395) @t422) @t385)))) % 0.87/1.68 (assume @p632 (forall @t491 (=> @t490 (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t36 @t43 @t767 @t1121) @t1000))))) % 0.87/1.68 (assume @p633 (forall @t491 (=> @t490 (= (tptp.hAPP @t42 @t16 (tptp.hAPP @t36 @t146 @t145 @t1121) @t1000) @t627)))) % 0.87/1.68 (assume @p634 (forall @t1033 (=> @t490 (=> @t1034 (= (tptp.hAPP @t14 @t13 @t395 @t1126) @t421))))) % 0.87/1.68 (assume @p635 (forall @t510 (=> @t509 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t1128 @t434))))) % 0.87/1.68 (assume @p636 (forall @t510 (=> @t751 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t1128 @t501))))) % 0.87/1.68 (assume @p637 (forall @t843 (=> @t1129 (= @t1125 (tptp.hAPP @t16 @t18 (tptp.hAPP @t18 @t86 @t85 @t393) @t401))))) % 0.87/1.68 (assume @p638 (forall @t1003 (=> @t1120 (= (tptp.hAPP @t18 @t33 (tptp.hAPP @t36 @t1131 (tptp.hAPP @t16 (tptp.fun @t36 @t1131) (tptp.compose @t14 @t13 @t14) @t428) @t395) @t1119) (tptp.hAPP @t16 @t33 @t1130 @t428))))) % 0.87/1.68 (assume @p639 (forall (@list @t13 @t21 @t14 @t393 @t395 @t175 @t401) (=> @t403 (= (tptp.hAPP @t14 @t13 @t1133 @t175) (tptp.hAPP @t21 @t13 @t393 (tptp.hAPP @t14 @t21 @t395 @t175)))))) % 0.87/1.68 (assume @p640 (forall (@list @t21 @t13 @t14 @t393 @t640 @t395 @t401 @t428) (=> @t1120 (=> (= (tptp.hAPP @t16 @t1013 @t1137 @t428) @t1134) (= (tptp.hAPP @t42 @t1013 (tptp.hAPP @t25 @t1037 @t1036 (tptp.hAPP @t36 @t25 (tptp.hAPP @t23 @t69 (tptp.hAPP @t42 @t70 (tptp.compose @t13 @t14 @t21) @t401) @t393) @t395)) @t401) @t1134))))) % 0.87/1.68 (assume @p641 (forall (@list @t1138 @t21 @t14 @t13 @t989 @t1146 @t393 @t640 @t395 @t401 @t428) (=> @t502 (=> @t1152 (=> (tptp.hBOOL (tptp.hAPP @t1149 tptp.bool (tptp.hAPP @t1141 (tptp.fun @t1149 tptp.bool) (tptp.member @t1141) @t989) (tptp.hAPP @t1148 @t1149 (tptp.hAPP @t1013 (tptp.fun @t1148 @t1149) (tptp.pi @t21 @t1138) @t640) (tptp.hAPP @t1147 @t1148 (tptp.combk @t1147 @t21) @t1146)))) (= (tptp.hAPP @t23 @t1142 (tptp.hAPP @t1141 @t1145 (tptp.hAPP @t16 (tptp.fun @t1141 @t1145) (tptp.compose @t14 @t21 @t1138) @t401) @t989) @t1144) (tptp.hAPP @t18 @t1142 (tptp.hAPP @t1139 @t1143 (tptp.hAPP @t16 (tptp.fun @t1139 @t1143) (tptp.compose @t14 @t13 @t1138) @t401) (tptp.hAPP @t25 @t1139 (tptp.hAPP @t1141 @t1140 (tptp.hAPP @t42 (tptp.fun @t1141 @t1140) (tptp.compose @t13 @t21 @t1138) @t428) @t989) @t393)) @t395))))))) % 0.87/1.68 (assume @p642 (forall (@list @t21 @t14 @t13 @t393 @t640 @t395 @t401 @t428) (=> @t502 (=> @t1152 (tptp.hBOOL (tptp.hAPP @t1154 tptp.bool (tptp.hAPP @t23 (tptp.fun @t1154 tptp.bool) (tptp.member @t23) @t1144) (tptp.hAPP @t1153 @t1154 (tptp.hAPP @t16 (tptp.fun @t1153 @t1154) (tptp.pi @t14 @t21) @t401) (tptp.hAPP @t1013 @t1153 (tptp.combk @t1013 @t14) @t640)))))))) % 0.87/1.68 (assume @p643 (forall (@list @t14 @t21 @t13 @t401 @t393 @t395) (= @t1133 (tptp.hAPP @t16 @t18 (tptp.hAPP @t18 @t86 @t85 (tptp.hAPP @t23 @t18 (tptp.hAPP @t82 @t81 (tptp.combb @t21 @t13 @t14) @t393) @t395)) @t401)))) % 0.87/1.68 (assume @p644 (forall (@list @t14 @t13 @t393 @t401 @t428) (=> (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t753 @t501)) (=> @t1157 (= (tptp.hAPP @t33 @t18 (tptp.hAPP @t18 @t1155 (tptp.hAPP @t16 (tptp.fun @t18 @t1155) (tptp.compose @t14 @t14 @t13) @t401) @t393) (tptp.hAPP @t16 @t33 @t1130 @t401)) @t394))))) % 0.87/1.68 (assume @p645 (forall @t761 (=> @t502 (=> @t1159 (= (tptp.hAPP @t18 @t18 (tptp.hAPP @t51 @t1158 (tptp.hAPP @t16 (tptp.fun @t51 @t1158) (tptp.compose @t14 @t13 @t13) @t401) (tptp.hAPP @t42 @t51 (tptp.hAPP @t51 (tptp.fun @t42 @t51) (tptp.restrict @t13 @t13) (tptp.combi @t13)) @t428)) @t395) @t396))))) % 0.87/1.68 (assume @p646 (forall @t34 (=> (tptp.linord626643107strict @t14) (forall @t1167 (=> @t1166 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t343 @t285)) (=> @t1165 (=> @t1164 (=> @t1163 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t1162) @t285))))))))))) % 0.87/1.68 (assume @p647 (forall @t34 (=> @t108 (forall @t971 (=> @t1105 (=> @t1108 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t14 @t73 @t168 @t1169) @t107)))))))) % 0.87/1.68 (assume @p648 (forall @t858 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t621 @t1172)))) % 0.87/1.68 (assume @p649 (forall @t858 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t621 (tptp.hAPP tptp.nat tptp.nat @t1171 @t1172))))) % 0.87/1.68 (assume @p650 (forall @t702 (=> @t701 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1177 @t1174))))) % 0.87/1.68 (assume @p651 (forall @t702 (=> @t701 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 @t1180) @t1179))))) % 0.87/1.68 (assume @p652 (forall @t724 (=> @t701 (=> @t735 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1177 (tptp.hAPP tptp.nat tptp.nat @t1173 @t721))))))) % 0.87/1.68 (assume @p653 (forall @t34 (=> @t972 (forall (@list @t1181 @t174 @t175 @t182) (= (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 (tptp.hAPP @t14 @t14 @t1183 @t174)) (tptp.hAPP @t14 @t14 @t1182 @t182)) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 (tptp.hAPP @t14 @t14 @t1183 @t182)) (tptp.hAPP @t14 @t14 @t1182 @t174))) (or (= (tptp.ti @t14 @t1181) @t385) (= @t384 @t1015))))))) % 0.87/1.68 (assume @p654 (forall @t34 (=> @t966 (forall (@list @t285 @t620 @t283) (= (tptp.hAPP @t14 @t14 @t1188 (tptp.hAPP @t14 @t14 @t1185 @t620)) (tptp.hAPP @t14 @t14 @t1184 @t620)))))) % 0.87/1.68 (assume @p655 (forall @t34 (=> @t966 @t1191))) % 0.87/1.68 (assume @p656 (forall @t34 (=> @t972 (forall @t1029 (= (and (not (= @t288 @t576)) (not (= @t575 @t1020))) (not (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 @t1194) (tptp.hAPP @t14 @t14 @t1192 @t1019)) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 (tptp.hAPP @t14 @t14 @t1168 @t1019)) @t1193)))))))) % 0.87/1.68 (assume @p657 (forall @t34 (=> @t966 (forall @t684 (= (tptp.hAPP @t14 @t14 @t1195 (tptp.hAPP @t14 @t14 @t974 @t354)) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 @t1196) (tptp.hAPP @t14 @t14 @t1195 @t354))))))) % 0.87/1.68 (assume @p658 (forall @t34 (=> @t966 @t1197))) % 0.87/1.68 (assume @p659 (forall @t34 (=> @t966 @t1198))) % 0.87/1.68 (assume @p660 (forall @t34 (=> @t966 (forall @t380 (= @t1200 @t1199))))) % 0.87/1.68 (assume @p661 (forall @t34 (=> @t966 (forall @t1208 (= @t1207 (tptp.hAPP @t14 @t14 @t1205 (tptp.hAPP @t14 @t14 @t1203 @t1201))))))) % 0.87/1.68 (assume @p662 (forall @t34 (=> @t966 (forall @t1208 (= @t1207 (tptp.hAPP @t14 @t14 @t1209 @t1201)))))) % 0.87/1.68 (assume @p663 (forall @t34 (=> @t966 (forall @t1214 (= @t1213 (tptp.hAPP @t14 @t14 @t1203 (tptp.hAPP @t14 @t14 @t1211 @t1204))))))) % 0.87/1.68 (assume @p664 (forall @t34 (=> @t966 (forall @t1214 (= @t1213 (tptp.hAPP @t14 @t14 @t1209 @t1210)))))) % 0.87/1.68 (assume @p665 (forall @t34 (=> @t966 (forall @t1216 (= @t1215 (tptp.hAPP @t14 @t14 @t1203 (tptp.hAPP @t14 @t14 @t1211 @t1206))))))) % 0.87/1.68 (assume @p666 (forall @t34 (=> @t966 (forall @t1216 (= @t1215 (tptp.hAPP @t14 @t14 @t1205 (tptp.hAPP @t14 @t14 @t1212 @t1201))))))) % 0.87/1.68 (assume @p667 (forall @t34 (=> @t966 (forall @t1216 (= @t1215 (tptp.hAPP @t14 @t14 @t1209 (tptp.hAPP @t14 @t14 @t1211 @t1201))))))) % 0.87/1.68 (assume @p668 (forall @t34 (=> @t966 @t1217))) % 0.87/1.68 (assume @p669 (forall @t34 (=> @t966 @t1218))) % 0.87/1.68 (assume @p670 (forall @t34 (=> @t100 (forall @t380 (=> @t1221 (or @t1220 @t1219)))))) % 0.87/1.68 (assume @p671 (forall @t34 (=> @t100 (forall @t379 (=> (not @t1220) (=> (not @t1219) (not @t1221))))))) % 0.87/1.68 (assume @p672 (forall @t34 (=> (tptp.ring_n68954251visors @t14) (forall @t440 (= (= @t1169 @t101) (or @t847 (= @t576 @t101))))))) % 0.87/1.68 (assume @p673 (forall @t34 (=> @t99 @t1218))) % 0.87/1.68 (assume @p674 (forall @t34 (=> @t99 @t1217))) % 0.87/1.68 (assume @p675 (forall @t34 (=> @t98 (forall @t573 (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t94 @t1200) @t362) (tptp.hAPP @t14 @t14 @t1186 @t1189)))))) % 0.87/1.68 (assume @p676 (forall @t666 (= (= @t1224 @t415) @t1222))) % 0.87/1.68 (assume @p677 (forall @t658 (= (tptp.hAPP tptp.nat tptp.nat @t1225 @t415) @t616))) % 0.87/1.68 (assume @p678 (forall @t666 (= (= @t415 @t1224) @t1222))) % 0.87/1.68 (assume @p679 (forall @t658 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t1170 @t415) @t616) @t616))) % 0.87/1.68 (assume @p680 (forall @t685 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t1170 @t679) @t617) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 (tptp.hAPP tptp.nat tptp.nat @t1171 @t617)) @t1226)))) % 0.87/1.68 (assume @p681 (forall (@list @t617 @t620 @t616) (= (tptp.hAPP tptp.nat tptp.nat @t1178 @t679) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 (tptp.hAPP tptp.nat tptp.nat @t1178 @t620)) (tptp.hAPP tptp.nat tptp.nat @t1178 @t616))))) % 0.87/1.68 (assume @p682 (forall @t690 (= (= @t1230 @t1229) @t664))) % 0.87/1.68 (assume @p683 (forall @t695 (= (= @t1234 @t1233) @t1232))) % 0.87/1.68 (assume @p684 (forall @t690 (= @t1238 @t1232))) % 0.87/1.68 (assume @p685 (forall @t666 (= (= @t1224 @t839) (or @t859 @t854)))) % 0.87/1.68 (assume @p686 (forall @t858 (= (tptp.hAPP tptp.nat tptp.nat @t1171 @t839) @t839))) % 0.87/1.68 (assume @p687 (forall @t658 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t1170 @t839) @t616) @t839))) % 0.87/1.68 (assume @p688 (forall @t34 (=> @t97 @t1198))) % 0.87/1.68 (assume @p689 (forall @t34 (=> @t1239 @t1198))) % 0.87/1.68 (assume @p690 (forall @t34 (=> @t97 @t1197))) % 0.87/1.68 (assume @p691 (forall @t34 (=> @t1239 @t1197))) % 0.87/1.68 (assume @p692 (forall @t34 (=> (tptp.comm_semiring @t14) @t1191))) % 0.87/1.68 (assume @p693 (forall @t34 (=> @t96 (forall (@list @t285 @t1240 @t283 @t362) (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 (tptp.hAPP @t14 @t14 @t1186 @t1240)) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 (tptp.hAPP @t14 @t14 @t1185 @t1240)) @t362)) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 (tptp.hAPP @t14 @t14 @t1184 @t1240)) @t362)))))) % 0.87/1.68 (assume @p694 (forall @t1006 (=> @t1159 (=> @t565 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t437 (tptp.hAPP @t16 @t78 @t84 @t428))))))) % 0.87/1.68 (assume @p695 (forall @t34 (=> @t1242 (forall @t305 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t1241)))))) % 0.87/1.68 (assume @p696 (forall @t34 (=> @t1245 (forall @t440 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t1169)) (or (and @t874 @t1244) (and @t873 @t1243))))))) % 0.87/1.68 (assume @p697 (forall @t34 (=> @t1245 (forall @t440 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t1169) @t101)) (or (and @t874 @t1243) (and @t873 @t1244))))))) % 0.87/1.68 (assume @p698 (forall @t34 (=> @t1247 (forall @t379 (=> @t868 (=> @t872 @t1246)))))) % 0.87/1.68 (assume @p699 (forall @t34 (=> @t1247 (forall @t379 (=> @t868 (=> @t862 @t1248)))))) % 0.87/1.68 (assume @p700 (forall @t34 (=> @t1247 (forall @t379 (=> @t868 (=> @t862 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t1199) @t101)))))))) % 0.87/1.68 (assume @p701 (forall @t34 (=> @t1247 (forall @t379 (=> @t863 (=> @t872 @t1248)))))) % 0.87/1.68 (assume @p702 (forall @t34 (=> @t1249 (forall @t379 (=> @t863 (=> @t862 @t1246)))))) % 0.87/1.68 (assume @p703 (forall @t34 (=> @t1252 (forall @t375 (=> @t472 (=> @t867 @t1251)))))) % 0.87/1.68 (assume @p704 (forall @t34 (=> @t1252 @t1257))) % 0.87/1.68 (assume @p705 (forall @t34 (=> (tptp.ordere1490568538miring @t14) @t1257))) % 0.87/1.68 (assume @p706 (forall @t34 (=> @t1249 (forall @t370 (=> @t469 (=> @t1258 @t1251)))))) % 0.87/1.68 (assume @p707 (forall @t34 (=> @t1249 (forall @t370 (=> @t469 (=> @t1258 @t1256)))))) % 0.87/1.68 (assume @p708 (forall @t34 (=> @t1252 (forall @t523 (=> @t472 (=> @t522 (=> @t868 @t1260))))))) % 0.87/1.68 (assume @p709 (forall @t34 (=> @t1252 (forall @t523 (=> @t472 (=> @t522 (=> @t872 @t1260))))))) % 0.87/1.68 (assume @p710 (forall @t34 (=> @t1249 (forall @t379 (=> (or (and @t868 @t872) (and @t863 @t862)) @t1246))))) % 0.87/1.68 (assume @p711 (forall @t34 (=> @t1247 (forall @t379 (=> (or (and @t868 @t862) (and @t863 @t872)) @t1248))))) % 0.87/1.68 (assume @p712 (forall @t34 (=> @t1242 (forall @t305 (not (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t1241) @t101))))))) % 0.87/1.68 (assume @p713 (forall @t34 (=> @t1245 (forall @t602 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t1194) @t1193)) @t1263))))) % 0.87/1.68 (assume @p714 (forall @t34 (=> @t1245 (forall @t600 (= @t1267 @t1263))))) % 0.87/1.68 (assume @p715 (forall @t34 (=> @t1245 (forall @t585 (=> @t1262 (= @t1267 @t605)))))) % 0.87/1.68 (assume @p716 (forall @t34 (=> @t1269 (forall @t379 (=> @t882 (=> @t884 @t1268)))))) % 0.87/1.68 (assume @p717 (forall @t34 (=> @t1269 (forall @t379 (=> @t882 (=> @t876 @t1270)))))) % 0.87/1.68 (assume @p718 (forall @t34 (=> @t1269 (forall @t379 (=> @t882 (=> @t876 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t1199) @t101)))))))) % 0.87/1.68 (assume @p719 (forall @t34 (=> @t1269 (forall @t380 (=> @t1268 @t1271))))) % 0.87/1.68 (assume @p720 (forall @t34 (=> @t1269 (forall @t379 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t881 @t1199)) @t1271))))) % 0.87/1.68 (assume @p721 (forall @t34 (=> @t1245 (forall @t585 (=> @t1261 (= @t1267 @t545)))))) % 0.87/1.68 (assume @p722 (forall @t34 (=> @t1269 (forall @t379 (=> @t878 (=> @t884 @t1270)))))) % 0.87/1.68 (assume @p723 (forall @t34 (=> @t1245 (forall @t379 (=> @t878 (=> @t876 @t1268)))))) % 0.87/1.68 (assume @p724 (forall @t34 (=> @t1269 (forall @t375 (=> @t374 (=> @t1274 @t1273)))))) % 0.87/1.68 (assume @p725 (forall @t34 (=> @t1269 @t1276))) % 0.87/1.68 (assume @p726 (forall @t34 (=> (tptp.linord893533164strict @t14) @t1276))) % 0.87/1.68 (assume @p727 (forall @t34 (=> @t1245 (forall @t370 (=> @t369 (=> @t1277 @t1273)))))) % 0.87/1.68 (assume @p728 (forall @t34 (=> @t1245 (forall @t370 (=> @t369 (=> @t1277 @t1275)))))) % 0.87/1.68 (assume @p729 (forall @t34 (=> @t1245 (forall @t390 (= (= @t1278 @t101) @t871))))) % 0.87/1.68 (assume @p730 (forall @t34 (=> @t972 (forall (@list @t362 @t516 @t285 @t283 @t1279) (=> (not (= (tptp.ti @t14 @t1279) @t101)) (=> (and @t376 (not (= @t365 (tptp.ti @t14 @t516)))) (not (= (tptp.hAPP @t14 @t14 @t513 (tptp.hAPP @t14 @t14 @t1280 @t362)) (tptp.hAPP @t14 @t14 @t517 (tptp.hAPP @t14 @t14 @t1280 @t516)))))))))) % 0.87/1.68 (assume @p731 (forall @t34 (=> @t515 (forall @t672 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t888 @t620)) (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t888 @t616)) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t888 (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t94 @t620) @t616))))))))) % 0.87/1.68 (assume @p732 (forall @t34 (=> @t966 (forall (@list @t285 @t620) (= (tptp.hAPP @t14 @t14 @t1188 @t620) @t1281))))) % 0.87/1.68 (assume @p733 (forall @t34 (=> @t966 (forall (@list @t620 @t285) (= (tptp.hAPP @t14 @t14 @t1282 @t1187) @t1281))))) % 0.87/1.68 (assume @p734 (forall @t34 (=> @t966 (forall @t858 (= (tptp.hAPP @t14 @t14 @t1282 @t620) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t94 @t894) @t620)))))) % 0.87/1.68 (assume @p735 (forall @t666 (= (= @t1224 @t902) (and @t935 @t934)))) % 0.87/1.68 (assume @p736 (forall @t702 (=> @t715 (=> @t1283 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t1180) @t1179)))))) % 0.87/1.68 (assume @p737 (forall @t702 (=> @t715 (=> @t1283 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t1176) @t1174)))))) % 0.87/1.68 (assume @p738 (forall @t695 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t1234) @t1233)) @t1285))) % 0.87/1.68 (assume @p739 (forall @t690 (= @t1286 @t1285))) % 0.87/1.68 (assume @p740 (forall @t666 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t852 @t1224)) (and @t889 @t853)))) % 0.87/1.68 (assume @p741 (forall @t690 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t236 @t1230) @t1229)) @t663))) % 0.87/1.68 (assume @p742 (forall @t680 (= (tptp.hAPP tptp.nat tptp.nat @t1171 @t903) (tptp.hAPP tptp.nat tptp.nat @t623 @t1287)))) % 0.87/1.68 (assume @p743 (forall @t680 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t1170 @t904) @t616) (tptp.hAPP tptp.nat tptp.nat @t677 @t1287)))) % 0.87/1.68 (assume @p744 (forall @t690 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 @t1230) @t1229)) @t729))) % 0.87/1.68 (assume @p745 (forall @t680 (=> (= @t620 @t1287) (or (= @t616 @t415) (= @t620 @t839))))) % 0.87/1.68 (assume @p746 (forall @t491 (tptp.hBOOL (tptp.hAPP @t78 tptp.bool @t1128 @t1156)))) % 0.87/1.68 (assume @p747 (forall @t491 (=> @t1159 (= @t1125 @t396)))) % 0.87/1.68 (assume @p748 (forall (@list @t14 @t13 @t21 @t401 @t395 @t393) (tptp.hBOOL (tptp.hAPP @t78 tptp.bool (tptp.hAPP @t18 @t436 @t435 (tptp.hAPP @t23 @t18 (tptp.hAPP @t82 @t81 @t1132 @t395) @t393)) @t1156)))) % 0.87/1.68 (assume @p749 (forall @t34 (=> @t1245 (forall @t585 (=> @t1262 (= @t1288 @t598)))))) % 0.87/1.68 (assume @p750 (forall @t34 (=> @t1245 (forall @t585 (=> @t1261 (= @t1288 @t550)))))) % 0.87/1.68 (assume @p751 (forall @t34 (=> @t1269 (forall @t523 (=> @t374 (=> @t525 (=> @t884 @t1290))))))) % 0.87/1.68 (assume @p752 (forall @t34 (=> @t1269 (forall @t523 (=> @t374 (=> @t525 (=> @t868 @t1290))))))) % 0.87/1.68 (assume @p753 (forall @t34 (=> @t1269 (forall @t523 (=> @t374 (=> @t522 (=> @t868 (=> @t1274 @t1289)))))))) % 0.87/1.68 (assume @p754 (forall @t34 (=> @t1269 (forall @t523 (=> @t472 (=> @t525 (=> @t882 @t1290))))))) % 0.87/1.68 (assume @p755 (forall @t34 (=> @t1293 @t1292))) % 0.87/1.68 (assume @p756 (forall @t34 (=> @t1269 @t1292))) % 0.87/1.68 (assume @p757 (forall @t34 (=> @t1293 @t1294))) % 0.87/1.68 (assume @p758 (forall @t34 (=> @t1269 @t1294))) % 0.87/1.68 (assume @p759 (forall @t34 (=> @t1269 (forall @t595 (=> @t1251 @t1295))))) % 0.87/1.68 (assume @p760 (forall @t34 (=> @t1269 (forall @t375 (=> @t1256 @t1295))))) % 0.87/1.68 (assume @p761 (forall @t34 (=> @t1242 (forall @t352 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t866 @t1298)))))) % 0.87/1.68 (assume @p762 (forall @t34 (=> @t1245 (forall @t390 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t1278) @t101)) @t871))))) % 0.87/1.68 (assume @p763 (forall @t34 (=> @t1245 (forall @t390 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t881 @t1278)) (or (not @t844) (not @t870))))))) % 0.87/1.68 (assume @p764 (forall @t34 (=> @t1242 (forall @t352 (not (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t1298) @t101))))))) % 0.87/1.68 (assume @p765 (forall @t34 (=> @t568 (forall @t463 (=> @t1301 (=> @t1300 (=> @t1299 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 (tptp.hAPP @t14 @t14 @t1296 @t341)) @t341))))))))) % 0.87/1.68 (assume @p766 (forall @t34 (=> @t568 (forall @t463 (=> @t1301 (=> @t1300 (=> @t1299 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t1196) @t341))))))))) % 0.87/1.68 (assume @p767 (forall @t680 (=> @t1304 (=> @t1303 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t657 @t1287)))))) % 0.87/1.68 (assume @p768 (forall @t680 (=> @t1304 (=> @t1303 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t657 @t1305)))))) % 0.87/1.68 (assume @p769 (forall @t680 (=> @t1304 (=> @t1303 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1302 @t1287)))))) % 0.87/1.68 (assume @p770 (forall @t666 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1306 @t1224)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1306 @t659)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1306 @t328)))))) % 0.87/1.68 (assume @p771 (forall @t695 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 @t1234) @t1233)) @t1307))) % 0.87/1.68 (assume @p772 (forall @t690 (= @t1308 @t1307))) % 0.87/1.68 (assume @p773 (forall @t20 (=> @t1324 (forall @t1323 (=> @t765 (= (tptp.hAPP @t16 @t13 (tptp.hAPP @t13 @t17 (tptp.hAPP @t18 @t1312 @t1315 (tptp.hAPP @t18 @t18 (tptp.hAPP @t54 @t1158 @t1322 (tptp.hAPP @t18 @t54 (tptp.hAPP @t1314 @t1321 @t1320 @t1310) @t393)) @t989)) @t1309) @t401) (tptp.hAPP @t13 @t13 @t1319 (tptp.hAPP @t16 @t13 (tptp.hAPP @t13 @t17 @t1316 @t1309) @t401)))))))) % 0.87/1.68 (assume @p774 (forall @t34 (=> (tptp.linord1278240602ring_1 @t14) (forall @t1167 (=> @t1325 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t455 @t285)) (=> @t1165 (=> @t1164 (=> @t1163 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t1162) @t285))))))))))) % 0.87/1.68 (assume @p775 (forall @t34 (=> (tptp.linord1117847801e_zero @t14) (forall @t352 (=> (forall (@list @t1326) (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t881 @t1326)) (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t118 @t1326) @t87)) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t94 @t1326) @t341)) @t342))))) @t457))))) % 0.87/1.68 (assume @p776 (forall @t20 (=> @t1324 (forall (@list @t395 @t410) (=> @t1331 (=> (forall @t298 (=> @t1330 @t1329)) (= @t1328 @t1309))))))) % 0.87/1.68 (assume @p777 (forall @t20 (=> (tptp.ab_semigroup_mult @t13) (forall (@list @t182 @t393 @t989 @t401) (=> @t765 (=> (forall @t298 (=> @t489 (= @t398 @t1332))) (= (tptp.hAPP @t16 @t13 (tptp.hAPP @t13 @t17 @t1317 @t182) @t401) (tptp.hAPP @t16 @t13 (tptp.hAPP @t13 @t17 @t1316 @t182) @t401)))))))) % 0.87/1.68 (assume @p778 (forall @t680 (= @t1287 @t1305))) % 0.87/1.68 (assume @p779 (forall @t685 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t1170 @t1287) @t617) (tptp.hAPP tptp.nat tptp.nat @t1171 @t1226)))) % 0.87/1.68 (assume @p780 (forall @t1333 (=> @t1284 (= @t1308 @t729)))) % 0.87/1.68 (assume @p781 (forall @t1333 (=> @t1284 (= @t1286 @t663)))) % 0.87/1.68 (assume @p782 (forall @t1333 (=> @t1284 (= @t1238 @t664)))) % 0.87/1.68 (assume @p783 (forall @t690 (= @t1238 (or @t1231 @t664)))) % 0.87/1.68 (assume @p784 (forall (@list @t698 @t1161 @t700 @t617) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 (tptp.hAPP tptp.nat tptp.nat @t1175 @t1161)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 (tptp.hAPP tptp.nat tptp.nat @t1173 @t1161)) @t617)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t1170 @t709) @t1161)) @t617)))) % 0.87/1.68 (assume @p785 (forall @t147 (=> @t1239 (forall (@list @t989 @t393 @t410 @t411 @t1334) (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t411 @t1334) @t1334)) (=> (forall @t1344 (=> @t1343 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t411 (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t94 @t274) @t1342)) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t94 @t1341) @t1340))))) (=> @t1339 (=> @t1338 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t411 (tptp.hAPP @t42 @t14 (tptp.hAPP @t14 @t46 (tptp.hAPP @t36 @t47 @t1335 @t989) @t1334) @t410)) (tptp.hAPP @t42 @t14 (tptp.hAPP @t14 @t46 (tptp.hAPP @t36 @t47 @t1335 @t393) @t1334) @t410))))))))))) % 0.87/1.68 (assume @p786 (forall @t1357 (=> (tptp.comm_monoid_mult @t21) (forall (@list @t1334 @t393 @t395 @t989 @t686 @t1345 @t410) (=> @t1331 (=> (forall @t1042 (=> @t1356 (and (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t14 @t73 @t168 @t1355) @t410)) (= (tptp.hAPP @t14 @t13 @t989 @t1355) @t1354)))) (=> (forall @t298 (=> @t1330 (and (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t13 @t43 @t430 @t1332) @t1345)) (= (tptp.hAPP @t13 @t14 @t686 @t1332) @t485) (= (tptp.hAPP @t13 @t21 @t393 @t1332) (tptp.hAPP @t14 @t21 @t395 @t292))))) (= (tptp.hAPP @t16 @t21 (tptp.hAPP @t21 @t1351 (tptp.hAPP @t23 @t1352 @t1353 @t395) @t1334) @t410) (tptp.hAPP @t42 @t21 (tptp.hAPP @t21 @t1347 @t1350 @t1334) @t1345))))))))) % 0.87/1.68 (assume @p787 (forall (@list @t14 @t13 @t393 @t395 @t401) (=> @t1159 (=> @t1157 (=> @t1129 @t397))))) % 0.87/1.68 (assume @p788 (forall (@list @t14 @t659 @t200 @t686) (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t200 @t686)) (exists @t298 (and @t1358 (forall @t1042 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t200 @t527)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 (tptp.hAPP @t14 tptp.nat @t659 @t292)) (tptp.hAPP @t14 tptp.nat @t659 @t527)))))))))) % 0.87/1.68 (assume @p789 (forall (@list @t13 @t14 @t395 @t393 @t940 @t703) (=> (= (tptp.ti @t16 @t940) (tptp.ti @t16 @t703)) (=> (forall @t298 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t488 @t703)) @t400)) (= (tptp.hAPP @t16 @t42 @t998 @t940) (tptp.hAPP @t16 @t42 (tptp.hAPP @t18 @t991 @t990 @t393) @t703)))))) % 0.87/1.68 (assume @p790 (forall @t34 (exists @t298 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t488 @t300))))) % 0.87/1.68 (assume @p791 (forall @t500 (=> (forall @t298 @t489) (= @t300 @t627)))) % 0.87/1.68 (assume @p792 (forall @t789 (=> @t1359 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t16 @t73 @t553 @t404) @t786))))) % 0.87/1.68 (assume @p793 (forall @t789 (=> @t1359 @t653))) % 0.87/1.68 (assume @p794 (forall @t1357 (=> (tptp.ab_semigroup_mult @t21) (forall (@list @t393 @t182 @t989 @t401) (=> @t765 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t18 @t73 @t72 @t989) @t401)) (= (tptp.hAPP @t42 @t21 (tptp.hAPP @t21 @t1347 @t1350 @t182) (tptp.hAPP @t16 @t42 @t992 @t401)) (tptp.hAPP @t16 @t21 (tptp.hAPP @t21 @t1351 (tptp.hAPP @t23 @t1352 @t1353 (tptp.hAPP @t18 @t23 @t1361 @t989)) @t182) @t401)))))))) % 0.87/1.68 (assume @p795 (forall @t1364 (= (tptp.hAPP tptp.nat tptp.nat tptp.nat_size @t1363) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 (tptp.hAPP tptp.nat tptp.nat tptp.nat_size @t1362)) @t902)))) % 0.87/1.68 (assume @p796 (forall (@list @t21 @t13 @t14 @t393 @t395) (=> @t1052 (=> (= (tptp.hAPP @t16 @t1013 @t1137 @t300) @t1365) (= (tptp.hAPP @t42 @t1013 (tptp.hAPP @t25 @t1037 @t1036 (tptp.hAPP @t36 @t25 @t1366 @t395)) @t442) @t1365))))) % 0.87/1.68 (assume @p797 (forall @t1371 (=> @t425 (=> (tptp.hBOOL (tptp.hAPP @t1013 tptp.bool @t1370 @t1365)) (tptp.hBOOL (tptp.hAPP @t1013 tptp.bool (tptp.hAPP @t82 @t1369 @t1368 @t1367) @t1365)))))) % 0.87/1.68 (assume @p798 (forall (@list @t14 @t13 @t21 @t393 @t395 @t401) (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t18 @t73 @t72 (tptp.hAPP @t23 @t18 (tptp.hAPP @t82 @t81 @t1373 @t393) @t395)) @t401)) (tptp.hBOOL (tptp.hAPP @t1013 tptp.bool (tptp.hAPP @t82 @t1369 @t1368 @t393) (tptp.hAPP @t16 @t1013 @t1372 @t401)))))) % 0.87/1.68 (assume @p799 (forall (@list @t21 @t14 @t13 @t393 @t395 @t401) (=> @t490 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t25 @t43 @t1375 @t393) @t1000)) (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t23 @t73 @t1374 (tptp.hAPP @t18 @t23 @t1361 @t395)) @t401)))))) % 0.87/1.68 (assume @p800 (forall (@list @t21 @t14 @t13 @t1376 @t395 @t401) (=> @t490 (= (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t25 @t43 @t1375 @t1376) @t1000)) (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t23 @t73 @t1374 (tptp.hAPP @t18 @t23 (tptp.hAPP @t25 @t24 @t1360 @t1376) @t395)) @t401)))))) % 0.87/1.68 (assume @p801 (forall (@list @t13 @t14 @t21 @t395 @t393 @t1377) (= (tptp.hAPP @t42 @t16 (tptp.hAPP @t36 @t146 @t145 (tptp.hAPP @t25 @t36 (tptp.hAPP @t132 @t1040 (tptp.comp @t21 @t14 @t13) @t395) @t393)) @t1377) (tptp.hAPP @t1013 @t16 @t1039 (tptp.hAPP @t42 @t1013 @t1038 @t1377))))) % 0.87/1.68 (assume @p802 (forall (@list @t14 @t13 @t21 @t1376 @t395 @t401) (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t18 @t73 @t72 (tptp.hAPP @t23 @t18 (tptp.hAPP @t82 @t81 @t1373 @t1376) @t395)) @t401)) (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t23 @t73 @t1374 @t395) @t401))))) % 0.87/1.68 (assume @p803 (= (tptp.hAPP tptp.nat tptp.nat tptp.nat_size @t839) @t839)) % 0.87/1.68 (assume @p804 (forall (@list @t14 @t13 @t21 @t395 @t393 @t292) (= (tptp.hAPP @t14 @t13 (tptp.hAPP @t23 @t18 @t1378 @t393) @t292) (tptp.hAPP @t21 @t13 @t395 (tptp.hAPP @t14 @t21 @t393 @t292))))) % 0.87/1.68 (assume @p805 (forall (@list @t14 @t21 @t13 @t1138 @t395 @t393 @t989) (= (tptp.hAPP @t23 @t18 @t1378 (tptp.hAPP @t1142 @t23 (tptp.hAPP @t1380 (tptp.fun @t1142 @t23) (tptp.comp @t1138 @t21 @t14) @t393) @t989)) (tptp.hAPP @t1142 @t18 (tptp.hAPP @t1379 @t1382 @t1381 (tptp.hAPP @t1380 @t1379 (tptp.hAPP @t82 (tptp.fun @t1380 @t1379) (tptp.comp @t21 @t13 @t1138) @t395) @t393)) @t989)))) % 0.87/1.68 (assume @p806 (forall (@list @t21 @t14 @t13 @t395 @t393 @t175) (= @t1384 @t1383))) % 0.87/1.68 (assume @p807 (forall (@list @t14 @t21 @t13 @t1138 @t1385 @t202 @t201 @t223 @t1019) (=> @t1388 (= @t1386 (tptp.hAPP @t1138 @t13 @t223 (tptp.hAPP @t14 @t1138 @t1019 @t1385)))))) % 0.87/1.68 (assume @p808 (forall (@list @t14 @t21 @t13 @t1138 @t202 @t201 @t223 @t1019) (=> @t1388 (forall (@list @t1389) (= (tptp.hAPP @t21 @t13 @t202 (tptp.hAPP @t14 @t21 @t201 @t1389)) (tptp.hAPP @t1138 @t13 @t223 (tptp.hAPP @t14 @t1138 @t1019 @t1389))))))) % 0.87/1.68 (assume @p809 (forall (@list @t14 @t13 @t21 @t223 @t395 @t292) (= (tptp.hAPP @t14 @t13 (tptp.hAPP @t23 @t18 (tptp.hAPP @t82 @t81 @t1373 (tptp.hAPP @t13 @t82 @t444 @t223)) @t395) @t292) (tptp.ti @t13 @t223)))) % 0.87/1.68 (assume @p810 (forall (@list @t14 @t21 @t13 @t1385 @t202 @t201 @t223) (=> (= @t1387 (tptp.ti @t18 @t223)) (= @t1386 (tptp.hAPP @t14 @t13 @t223 @t1385))))) % 0.87/1.68 (assume @p811 (forall (@list @t13 @t14 @t21 @t1138 @t1392 @t395 @t393 @t175 @t1376 @t1391 @t1390) (=> (= @t1383 (tptp.hAPP @t1138 @t14 @t1376 (tptp.hAPP @t1392 @t1138 @t1391 @t1390))) (= @t1384 (tptp.hAPP @t1392 @t14 (tptp.hAPP @t1394 @t1393 (tptp.hAPP (tptp.fun @t1138 @t14) (tptp.fun @t1394 @t1393) (tptp.comp @t1138 @t14 @t1392) @t1376) @t1391) @t1390))))) % 0.87/1.68 (assume @p812 (forall @t1371 (=> @t425 (= (tptp.hAPP @t18 @t23 (tptp.hAPP @t25 @t24 @t1360 (tptp.hAPP @t36 @t25 @t1366 @t420)) @t395) (tptp.ti @t23 @t393))))) % 0.87/1.68 (assume @p813 (forall @t1401 (=> @t1400 (=> @t1399 (=> @t1398 (= (tptp.hAPP @t13 @t21 (tptp.hAPP @t82 @t25 (tptp.hAPP @t1013 @t1397 (tptp.hilbert_inv_into @t21 @t13) @t401) @t1367) @t175) (tptp.hAPP @t13 @t21 (tptp.hAPP @t36 @t25 (tptp.hAPP @t23 @t69 @t68 (tptp.hAPP @t132 @t23 (tptp.hAPP @t1013 @t1396 (tptp.hilbert_inv_into @t21 @t14) @t401) @t393)) (tptp.hAPP @t18 @t36 (tptp.hAPP @t16 @t75 @t104 @t1395) @t395)) @t175))))))) % 0.87/1.68 (assume @p814 (forall @t1401 (=> @t1400 (=> @t1399 (=> @t1398 (= (tptp.hAPP @t13 @t21 (tptp.hAPP @t82 @t25 (tptp.hAPP @t1013 @t1397 (tptp.the_inv_into @t21 @t13) @t401) @t1367) @t175) (tptp.hAPP @t13 @t21 (tptp.hAPP @t36 @t25 (tptp.hAPP @t23 @t69 @t68 (tptp.hAPP @t132 @t23 (tptp.hAPP @t1013 @t1396 (tptp.the_inv_into @t21 @t14) @t401) @t393)) (tptp.hAPP @t18 @t36 (tptp.hAPP @t16 @t75 @t74 @t1395) @t395)) @t175))))))) % 0.87/1.68 (assume @p815 (forall @t1405 (=> @t1404 (=> @t829 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t51 @t43 (tptp.inj_on @t13 @t13) @t989) @t401)) (= (tptp.hAPP @t42 @t14 @t1403 (tptp.hAPP @t42 @t42 (tptp.hAPP @t51 @t1402 (tptp.image @t13 @t13) @t989) @t401)) (tptp.hAPP @t42 @t14 (tptp.hAPP @t36 @t46 @t290 (tptp.hAPP @t51 @t36 (tptp.hAPP @t36 (tptp.fun @t51 @t36) (tptp.comp @t13 @t14 @t13) @t393) @t989)) @t401))))))) % 0.87/1.68 (assume @p816 (forall @t1364 (= (tptp.hAPP tptp.nat tptp.nat @t117 @t1363) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 (tptp.hAPP tptp.nat tptp.nat @t117 @t1362)) @t902)))) % 0.87/1.68 (assume @p817 (forall @t658 (= (tptp.hAPP tptp.nat tptp.nat @t117 @t616) @t616))) % 0.87/1.68 (assume @p818 (forall @t1405 (=> @t1404 (=> @t829 (= (tptp.hAPP @t42 @t14 (tptp.hAPP @t36 @t46 @t290 (tptp.hAPP @t36 @t36 (tptp.hAPP @t1410 @t1413 @t1412 (tptp.hAPP @t36 @t1410 (tptp.hAPP @t49 @t1411 @t1409 @t395) @t393)) @t989)) @t401) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t395 @t1408) @t1407)))))) % 0.87/1.68 (assume @p819 (= (tptp.hAPP tptp.nat tptp.nat @t117 @t839) @t839)) % 0.87/1.68 (assume @p820 (forall (@list @t13 @t14 @t393 @t401 @t395 @t182 @t290) (=> @t1404 (=> @t829 (= @t1408 (tptp.hAPP @t42 @t14 (tptp.hAPP @t14 @t46 (tptp.hAPP @t36 @t47 (tptp.hAPP @t49 @t48 @t45 @t395) @t393) @t182) @t401)))))) % 0.87/1.68 (assume @p821 (forall @t1405 (=> @t1404 (=> @t829 (=> (forall @t298 (=> @t1017 (= @t512 @t1336))) (= @t1408 @t1407)))))) % 0.87/1.68 (assume @p822 (forall @t631 (= (tptp.hBOOL (tptp.hAPP @t154 tptp.bool (tptp.hAPP @t153 (tptp.fun @t154 tptp.bool) (tptp.member @t153) (tptp.hAPP @t16 @t153 (tptp.hAPP @t16 (tptp.fun @t16 @t153) (tptp.product_Pair @t16 @t16) @t401) @t428)) @t152)) (and @t639 @t774)))) % 0.87/1.68 (assume @p823 (forall @t1420 (=> @t1419 (=> @t765 (=> @t630 (= @t1418 @t1414)))))) % 0.87/1.68 (assume @p824 (forall (@list @t14 @t175 @t174 @t395) (= (tptp.hBOOL (tptp.hAPP @t157 tptp.bool @t1424 (tptp.hAPP @t158 @t157 @t155 @t395))) @t1423))) % 0.87/1.68 (assume @p825 (forall (@list @t21 @t14 @t13 @t175 @t393 @t395 @t290) (=> @t1419 (= (tptp.hAPP @t82 @t82 @t1426 @t1427) @t1427)))) % 0.87/1.68 (assume @p826 (forall (@list @t14 @t13 @t175 @t395 @t290) (=> @t1419 (= (tptp.hAPP @t51 @t51 (tptp.hAPP @t51 @t1416 @t1415 @t1425) @t1425) @t1425)))) % 0.87/1.68 (assume @p827 (forall (@list @t14 @t13 @t175 @t401 @t395 @t290) (=> @t1419 (=> @t765 (=> @t403 (= (tptp.hAPP @t51 @t51 @t1417 @t1425) @t1414)))))) % 0.87/1.68 (assume @p828 (forall (@list @t395) (=> (forall @t209 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 (tptp.hAPP tptp.nat tptp.nat @t395 @t948)) @t744))) (exists @t209 (forall @t733 (= (tptp.hAPP tptp.nat tptp.nat @t395 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t113 @t416 @t206) @t731)) @t744)))))) % 0.87/1.68 (assume @p829 (forall @t1429 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t237 @t334 @t1422) @t1421)) (=> (tptp.hBOOL (tptp.hAPP @t157 tptp.bool @t1424 @t411)) @t1428)))) % 0.87/1.68 (assume @p830 (forall @t1429 (=> @t1423 @t1428))) % 0.87/1.68 (assume @p831 (= (tptp.hAPP tptp.bool tptp.nat tptp.bool_size tptp.fTrue) @t839)) % 0.87/1.68 (assume @p832 (= (tptp.hAPP tptp.bool tptp.nat tptp.bool_size tptp.fFalse) @t839)) % 0.87/1.68 (assume @p833 (forall (@list @t13 @t14 @t393 @t741 @t989 @t686 @t1345 @t410 @t395 @t182 @t290) (=> @t1404 (=> @t1339 (=> (forall @t1042 (=> @t1356 (and (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t13 @t43 @t430 @t1431) @t410)) (= (tptp.hAPP @t13 @t13 @t989 @t1431) @t1354)))) (=> (forall @t298 (=> @t1337 (and (tptp.hBOOL (tptp.hAPP @t42 tptp.bool (tptp.hAPP @t13 @t43 @t430 @t1430) @t1345)) (= (tptp.hAPP @t13 @t13 @t686 @t1430) @t511) (= (tptp.hAPP @t13 @t14 @t393 @t1430) (tptp.hAPP @t13 @t14 @t741 @t292))))) (= (tptp.hAPP @t42 @t14 (tptp.hAPP @t36 @t46 @t290 @t741) @t410) (tptp.hAPP @t42 @t14 @t1403 @t1345)))))))) % 0.87/1.68 (assume @p834 (forall (@list @t13 @t14 @t989 @t393 @t410 @t411 @t395 @t182 @t290) (=> @t1404 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t411 @t182) @t182)) (=> (forall @t1344 (=> @t1343 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t411 (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t395 @t274) @t1342)) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t395 @t1341) @t1340))))) (=> @t1339 (=> @t1338 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t411 (tptp.hAPP @t42 @t14 @t1406 @t410)) (tptp.hAPP @t42 @t14 @t1403 @t410)))))))))) % 0.87/1.68 (assume @p835 (forall @t34 (=> @t535 (forall @t1027 (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1118 @t1432)) @t1117))))) % 0.87/1.68 (assume @p836 (forall @t34 (=> @t535 (forall @t1027 (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1116 @t1432)) @t1117))))) % 0.87/1.68 (assume @p837 (forall @t996 (tptp.hBOOL (tptp.hAPP @t237 tptp.bool @t778 @t1434)))) % 0.87/1.68 (assume @p838 (forall @t34 (=> @t137 (forall @t1027 (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1437 @t1432)) (or @t1435 @t1061)))))) % 0.87/1.68 (assume @p839 (forall @t996 (= (tptp.hAPP tptp.nat @t237 @t995 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t838)) @t1434))) % 0.87/1.68 (assume @p840 (forall @t1095 (= (exists @t336 (and @t1440 @t1093)) (exists @t298 (and @t1439 @t1091))))) % 0.87/1.68 (assume @p841 (forall @t1095 (= (forall @t336 (=> @t1440 @t1093)) (forall @t298 (=> @t1439 @t1091))))) % 0.87/1.68 (assume @p842 (forall @t1084 (= (tptp.hAPP @t237 @t237 @t1083 @t1441) (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t1433 @t939) @t1079)))) % 0.87/1.68 (assume @p843 (forall @t996 (= (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t1433 @t1127) @t838) @t1123))) % 0.87/1.68 (assume @p844 (forall @t1090 (= (tptp.hAPP @t237 @t237 @t1089 @t1441) (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t1433 @t1088) @t1087)))) % 0.87/1.68 (assume @p845 (forall @t34 (=> @t137 (forall @t1027 (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t16 @t73 @t637 @t1436) @t1432)) (and (or @t1435 (and @t1060 @t1058 (or (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1022 @t202)) @t1114))) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1059 @t1019)))))))) % 0.87/1.68 (assume @p846 (forall @t34 (=> @t535 (forall @t1027 (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1437 @t1024)) (=> @t598 @t1115)))))) % 0.87/1.68 (assume @p847 (forall @t34 (=> @t535 (forall @t1027 (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1062 @t1432)) @t1117))))) % 0.87/1.68 (assume @p848 (forall @t34 (=> @t139 (forall @t1451 (=> @t1450 (=> @t1448 (= (tptp.hAPP @t16 @t16 @t1447 @t1444) @t1443))))))) % 0.87/1.68 (assume @p849 (forall @t34 (=> @t139 (forall @t1451 (=> @t1459 (=> @t1457 (= (tptp.hAPP @t16 @t16 @t1456 @t1454) @t1453))))))) % 0.87/1.68 (assume @p850 (forall @t636 (=> @t1462 (=> (not @t634) @t633)))) % 0.87/1.68 (assume @p851 (forall @t1465 (=> @t1464 (=> (not @t402) @t1463)))) % 0.87/1.68 (assume @p852 (forall @t1465 (=> (=> @t1466 @t402) @t1464))) % 0.87/1.68 (assume @p853 (forall @t1468 (=> (=> @t1467 @t634) @t1462))) % 0.87/1.68 (assume @p854 (forall @t34 (=> @t139 (forall @t1451 (=> @t1459 (=> @t1448 (= (tptp.hAPP @t16 @t16 @t1470 @t1469) @t1443))))))) % 0.87/1.68 (assume @p855 (forall @t34 (=> @t139 (forall @t1451 (=> @t1459 (=> @t1448 (= (tptp.hAPP @t16 @t16 @t1472 @t1471) @t1453))))))) % 0.87/1.68 (assume @p856 (forall @t761 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t424 @t1461)) @t1046))) % 0.87/1.68 (assume @p857 (forall @t1003 (= (tptp.hAPP @t42 @t16 @t983 @t1474) (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1446 @t984) @t1473)))) % 0.87/1.68 (assume @p858 (forall @t631 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t564 @t1461)))) % 0.87/1.68 (assume @p859 (forall @t738 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t629 @t1461)))) % 0.87/1.68 (assume @p860 (forall @t631 (= @t565 @t1475))) % 0.87/1.68 (assume @p861 (forall @t631 (=> @t565 @t1475))) % 0.87/1.68 (assume @p862 (forall @t738 (=> @t630 (= @t1461 @t627)))) % 0.87/1.68 (assume @p863 (forall (@list @t14 @t428 @t401 @t640) (=> @t649 (=> @t642 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1476 @t640)))))) % 0.87/1.68 (assume @p864 (forall @t1479 (=> @t649 (=> @t1478 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1476 (tptp.hAPP @t16 @t16 @t1477 @t1146))))))) % 0.87/1.68 (assume @p865 (forall @t1483 (=> @t993 (=> @t1482 @t1481)))) % 0.87/1.68 (assume @p866 (forall (@list @t14 @t290 @t1480) (= @t1481 (and @t993 @t1482)))) % 0.87/1.68 (assume @p867 (forall @t500 (= (tptp.hAPP @t16 @t16 @t1460 @t401) @t627))) % 0.87/1.68 (assume @p868 (forall @t631 (= @t1461 (tptp.hAPP @t16 @t16 @t143 (tptp.hAPP @t16 @t16 (tptp.hAPP @t781 @t144 @t784 (tptp.hAPP @t16 @t781 @t795 @t1097)) @t1484))))) % 0.87/1.68 (assume @p869 (forall @t631 (= @t1461 @t1486))) % 0.87/1.68 (assume @p870 (forall @t631 (= (tptp.hAPP @t16 @t16 @t1460 @t1461) @t1461))) % 0.87/1.68 (assume @p871 (forall @t1490 (= @t1489 (tptp.hAPP @t16 @t16 @t1485 @t1487)))) % 0.87/1.68 (assume @p872 (forall @t636 (= @t1462 (or @t634 @t633)))) % 0.87/1.68 (assume @p873 (forall @t1490 (= (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1446 @t1461) @t640) @t1489))) % 0.87/1.68 (assume @p874 (forall @t1492 (= (exists @t298 (and @t1491 @t1358)) (or (exists @t298 (and @t489 @t1358)) (exists @t298 (and @t737 @t1358)))))) % 0.87/1.68 (assume @p875 (forall @t1492 (= (forall @t298 (=> @t1491 @t1358)) (and (forall @t298 (=> @t489 @t1358)) (forall @t298 (=> @t737 @t1358)))))) % 0.87/1.68 (assume @p876 (forall @t1493 (=> @t402 @t1464))) % 0.87/1.68 (assume @p877 (forall @t1465 (=> @t1463 @t1464))) % 0.87/1.68 (assume @p878 (forall @t1494 (=> @t634 @t1462))) % 0.87/1.68 (assume @p879 (forall @t1468 (=> @t633 @t1462))) % 0.87/1.68 (assume @p880 (forall @t1495 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1446 @t656) @t655) @t292)) (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t488 (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1446 @t411) @t410)))))) % 0.87/1.68 (assume @p881 (forall @t797 (= @t796 (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1446 @t404) @t786)))) % 0.87/1.68 (assume @p882 (forall @t1496 (= (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1446 @t300) @t428) @t300))) % 0.87/1.68 (assume @p883 (forall @t500 (= (tptp.hAPP @t16 @t16 @t1460 @t300) @t300))) % 0.87/1.68 (assume @p884 (forall @t831 (=> @t830 (=> @t829 (=> @t759 (= (tptp.hAPP @t42 @t14 @t290 @t1474) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t395 @t826) @t827))))))) % 0.87/1.68 (assume @p885 (forall @t34 (=> @t139 (forall @t1451 (=> @t1459 (=> @t1448 (= (tptp.hAPP @t16 @t16 @t1472 @t1444) @t1497))))))) % 0.87/1.68 (assume @p886 (forall @t1090 (=> @t742 (= (tptp.hAPP tptp.nat @t237 @t1080 @t1087) (tptp.hAPP @t237 @t237 (tptp.hAPP @t237 @t812 (tptp.semilattice_sup_sup @t237) @t1081) (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t978 @t741) @t1087)))))) % 0.87/1.68 (assume @p887 (forall @t34 (=> @t139 (forall @t1451 (=> @t1459 (=> @t1448 (= (tptp.hAPP @t16 @t16 @t1456 @t1469) @t1497))))))) % 0.87/1.68 (assume @p888 (forall @t34 (=> @t139 (forall @t996 (=> @t1500 (= (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1446 @t1443) @t1499) @t1498)))))) % 0.87/1.68 (assume @p889 (forall @t1420 (=> @t1419 (=> @t765 (=> @t774 (= (tptp.hAPP @t16 @t51 @t290 @t1461) @t1418)))))) % 0.87/1.68 (assume @p890 (forall @t34 (=> @t139 (forall @t1451 (=> @t1450 (=> @t1448 (= (tptp.hAPP @t16 @t16 @t1447 @t1471) @t1501))))))) % 0.87/1.68 (assume @p891 (forall @t34 (=> @t139 (forall @t1451 (=> @t1459 (=> @t1457 (= (tptp.hAPP @t16 @t16 @t1470 @t1454) @t1501))))))) % 0.87/1.68 (assume @p892 (forall @t147 (=> @t1503 (forall @t1502 (= (tptp.hAPP @t13 @t14 (tptp.hAPP @t36 @t36 (tptp.hAPP @t36 @t1413 (tptp.semilattice_sup_sup @t36) @t395) @t393) @t175) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t111 @t987) @t835)))))) % 0.87/1.68 (assume @p893 (forall @t20 (=> @t1505 (forall @t1504 (= (tptp.hAPP @t14 @t13 (tptp.hAPP @t18 @t18 (tptp.hAPP @t18 @t1158 (tptp.semilattice_sup_sup @t18) @t395) @t393) @t292) (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t51 (tptp.semilattice_sup_sup @t13) @t399) @t398)))))) % 0.87/1.68 (assume @p894 (forall @t1509 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t14 @t42 (tptp.hAPP @t64 @t64 (tptp.hAPP @t64 @t1508 @t1507 @t561) @t560) @t292) @t289)) (tptp.hBOOL (tptp.hAPP @t66 tptp.bool @t414 (tptp.hAPP @t66 @t66 (tptp.hAPP @t66 @t1506 (tptp.semilattice_sup_sup @t66) @t411) @t410)))))) % 0.87/1.68 (assume @p895 (forall @t34 (=> @t1510 (forall @t305 (= @t1241 @t286))))) % 0.87/1.68 (assume @p896 (forall @t34 (=> @t1510 (forall @t392 (= @t1297 @t346))))) % 0.87/1.68 (assume @p897 (forall @t34 (=> @t1510 (forall @t380 (= (tptp.hAPP @t14 @t14 @t1186 @t1200) @t1200))))) % 0.87/1.68 (assume @p898 (forall @t34 (=> @t112 (forall @t305 (= (tptp.hAPP @t14 @t14 @t1511 @t285) @t286))))) % 0.87/1.68 (assume @p899 (forall @t34 (=> @t112 @t1513))) % 0.87/1.68 (assume @p900 (forall @t34 (=> @t112 (forall @t380 (= @t1515 (tptp.hAPP @t14 @t14 @t1514 @t285)))))) % 0.87/1.68 (assume @p901 (forall @t34 (=> @t1503 @t1519))) % 0.87/1.68 (assume @p902 (forall @t34 (=> @t112 @t1519))) % 0.87/1.68 (assume @p903 (forall @t34 (=> @t112 (forall @t380 (= (tptp.hAPP @t14 @t14 @t1511 @t1515) @t1515))))) % 0.87/1.68 (assume @p904 (forall @t34 (=> @t1503 @t1520))) % 0.87/1.68 (assume @p905 (forall @t34 (=> @t112 @t1520))) % 0.87/1.68 (assume @p906 (forall @t34 (=> @t112 (forall @t571 (= (tptp.hAPP @t14 @t14 @t1514 (tptp.hAPP @t14 @t14 @t1511 @t362)) @t1521))))) % 0.87/1.68 (assume @p907 (forall @t34 (=> @t1503 @t1525))) % 0.87/1.68 (assume @p908 (forall @t34 (=> @t112 @t1525))) % 0.87/1.68 (assume @p909 (forall @t34 (=> @t112 (forall @t573 (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t111 @t1515) @t362) @t1521))))) % 0.87/1.68 (assume @p910 (forall @t34 (=> @t1503 @t1526))) % 0.87/1.68 (assume @p911 (forall @t34 (=> @t112 @t1526))) % 0.87/1.68 (assume @p912 (forall @t34 (=> @t1503 @t1527))) % 0.87/1.68 (assume @p913 (forall @t34 (=> @t112 @t1527))) % 0.87/1.68 (assume @p914 (forall @t34 (=> @t1503 @t1528))) % 0.87/1.68 (assume @p915 (forall @t34 (=> @t112 @t1528))) % 0.87/1.68 (assume @p916 (forall @t34 (=> @t112 (forall @t390 (= @t475 (= @t1529 @t384)))))) % 0.87/1.68 (assume @p917 (forall @t34 (=> @t112 (forall @t1531 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t1529) @t182)) (and @t1530 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t477 @t182)))))))) % 0.87/1.68 (assume @p918 (forall @t34 (=> @t112 (forall @t1533 (=> @t1325 @t1532))))) % 0.87/1.68 (assume @p919 (forall @t34 (=> @t112 (forall @t1535 (=> @t1534 @t1532))))) % 0.87/1.68 (assume @p920 (forall @t34 (=> @t112 (forall @t352 (=> @t457 (= @t1518 @t345)))))) % 0.87/1.68 (assume @p921 (forall @t34 (=> @t112 (forall @t463 (=> @t456 (= @t1518 @t346)))))) % 0.87/1.68 (assume @p922 (forall @t34 (=> @t112 (forall @t1540 (=> @t1539 (=> @t1538 @t1537)))))) % 0.87/1.68 (assume @p923 (forall @t34 (=> @t112 (forall @t358 (=> @t456 (=> @t461 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t1523) @t341)))))))) % 0.87/1.68 (assume @p924 (forall @t34 (=> @t112 (forall @t1542 (=> @t471 (=> @t1541 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1536 (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t111 @t362) @t516))))))))) % 0.87/1.68 (assume @p925 (forall @t34 (=> @t112 (forall @t1543 (=> @t1537 (not (=> @t1539 (not @t1538)))))))) % 0.87/1.68 (assume @p926 (forall @t34 (=> @t112 (forall @t1535 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t349 @t283)) @t1544))))) % 0.87/1.68 (assume @p927 (forall @t34 (=> @t112 (forall @t1533 (=> @t1166 @t1544))))) % 0.87/1.68 (assume @p928 (forall @t34 (=> @t1545 (forall @t392 (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t111 @t124) @t341) @t124))))) % 0.87/1.68 (assume @p929 (forall @t34 (=> @t1545 (forall @t392 (= (tptp.hAPP @t14 @t14 @t1512 @t124) @t124))))) % 0.87/1.68 (assume @p930 (forall @t34 (=> @t139 (forall @t996 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1449 @t838)) (= (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1446 @t1501) @t1546) @t1498)))))) % 0.87/1.68 (assume @p931 (forall @t34 (=> @t139 (forall @t996 (=> @t1500 (= (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1446 @t1497) @t1499) @t1547)))))) % 0.87/1.68 (assume @p932 (forall @t1551 (=> @t1550 (=> (not @t1549) @t1548)))) % 0.87/1.68 (assume @p933 (forall @t1551 (=> (=> @t1552 @t1549) @t1550))) % 0.87/1.68 (assume @p934 (forall @t1553 (=> @t1549 @t1550))) % 0.87/1.68 (assume @p935 (forall @t1551 (=> @t1548 @t1550))) % 0.87/1.68 (assume @p936 (forall @t34 (=> @t120 (forall @t1110 (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1109 (tptp.hAPP @t14 @t16 @t134 @t686))) (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t686) @t318))))))) % 0.87/1.68 (assume @p937 (forall @t34 (=> @t139 (forall @t390 (= (= @t1555 @t1554) @t386))))) % 0.87/1.68 (assume @p938 (forall @t34 (=> @t137 (forall @t390 (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t16 @t73 @t553 @t1555) @t1554)) @t478))))) % 0.87/1.68 (assume @p939 (= (tptp.hAPP tptp.nat @t237 @t1556 @t839) @t791)) % 0.87/1.68 (assume @p940 (forall @t779 (= (tptp.hAPP tptp.nat @t237 @t1556 @t1227) (tptp.hAPP tptp.nat @t237 @t1103 @t686)))) % 0.87/1.68 (assume @p941 (forall @t34 (=> @t139 (forall @t996 (=> @t1500 (= (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1446 @t1453) @t1546) @t1547)))))) % 0.87/1.68 (assume @p942 (forall @t20 (=> @t1324 (forall @t1560 (=> @t765 (=> @t774 (= (tptp.hAPP @t13 @t13 @t1319 (tptp.hAPP @t16 @t13 @t1318 @t428)) (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t51 @t1310 (tptp.hAPP @t16 @t13 @t1318 @t1461)) (tptp.hAPP @t16 @t13 @t1318 @t1559))))))))) % 0.87/1.68 (assume @p943 (forall @t34 (=> @t846 (forall @t1571 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t728 @t1563)) (= (tptp.hAPP @t237 @t14 @t1566 (tptp.hAPP tptp.nat @t237 @t1567 @t1562)) (tptp.hAPP @t14 @t14 @t1570 (tptp.hAPP @t237 @t14 @t1566 (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t1433 @t1563) @t1562))))))))) % 0.87/1.68 (assume @p944 (forall @t1465 (=> @t1572 (not (=> @t402 @t1466))))) % 0.87/1.68 (assume @p945 (forall @t636 (=> @t1573 (not (=> @t634 @t1467))))) % 0.87/1.68 (assume @p946 (forall @t1494 (=> @t634 (=> @t633 @t1573)))) % 0.87/1.68 (assume @p947 (forall @t1493 (=> @t402 (=> @t1463 @t1572)))) % 0.87/1.68 (assume @p948 (forall @t1483 (=> (or @t993 @t1482) (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t764 (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1557 @t290) @t1480)))))) % 0.87/1.68 (assume @p949 (forall @t34 (=> @t1503 (forall @t684 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t1578) @t1575)))))) % 0.87/1.68 (assume @p950 (forall @t34 (=> @t1503 (forall @t684 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t14 @t16 @t448 @t1582) @t1579)))))) % 0.87/1.68 (assume @p951 (forall @t1490 (= (= (tptp.hAPP @t16 @t16 @t1586 @t640) @t1585) @t1584))) % 0.87/1.68 (assume @p952 (forall @t34 (=> @t1588 (forall @t1587 (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t111 @t1581) @t341) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t109 @t1517) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t111 @t354) @t341))))))) % 0.87/1.68 (assume @p953 (forall @t34 (=> @t1588 (forall @t1587 (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t109 @t1523) @t341) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t111 @t1589) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t109 @t354) @t341))))))) % 0.87/1.68 (assume @p954 (forall @t34 (=> @t1588 (forall @t684 (= @t1582 @t1579))))) % 0.87/1.68 (assume @p955 (forall @t34 (=> @t1588 (forall @t684 (= @t1575 @t1578))))) % 0.87/1.68 (assume @p956 (forall @t34 (=> @t1503 (forall @t352 (= (tptp.hAPP @t14 @t14 @t1512 @t1577) @t346))))) % 0.87/1.68 (assume @p957 (forall @t34 (=> @t1503 (forall @t352 (= (tptp.hAPP @t14 @t14 @t1574 @t1518) @t346))))) % 0.87/1.68 (assume @p958 (forall @t1490 (= @t1585 (tptp.hAPP @t16 @t16 @t1586 @t1590)))) % 0.87/1.68 (assume @p959 (forall @t1490 (= (tptp.hAPP @t16 @t16 @t1460 @t1593) (tptp.hAPP @t16 @t16 @t1591 @t1487)))) % 0.87/1.68 (assume @p960 (forall @t1597 (= (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1557 @t1488) @t401) (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1446 @t1596) @t1595)))) % 0.87/1.68 (assume @p961 (forall @t1597 (= (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1446 @t1593) @t401) (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1557 @t1486) @t1598)))) % 0.87/1.68 (assume @p962 (forall @t1490 (= (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1446 (tptp.hAPP @t16 @t16 @t1586 @t1593)) @t1595) (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1557 (tptp.hAPP @t16 @t16 @t1591 @t1488)) @t1598)))) % 0.87/1.68 (assume @p963 (forall (@list @t13 @t14 @t200 @t395 @t393 @t410) (= (tptp.hAPP @t42 @t16 (tptp.hAPP @t36 @t146 @t145 (tptp.hAPP @t36 @t36 (tptp.hAPP @t1410 @t1413 @t1412 (tptp.hAPP @t36 @t1410 (tptp.hAPP @t1602 @t1411 (tptp.combs @t13 @t14 @t33) (tptp.hAPP @t42 @t1602 (tptp.hAPP @t106 (tptp.fun @t42 @t1602) (tptp.combb tptp.bool @t49 @t13) @t105) @t200)) @t395)) @t393)) @t410) (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1446 (tptp.hAPP @t42 @t16 @t983 (tptp.hAPP @t42 @t42 @t1601 (tptp.hAPP @t42 @t42 @t1599 @t200)))) (tptp.hAPP @t42 @t16 @t1056 (tptp.hAPP @t42 @t42 @t1601 (tptp.hAPP @t42 @t42 @t1599 (tptp.hAPP @t42 @t42 (tptp.hAPP @t161 @t1402 (tptp.combb tptp.bool tptp.bool @t13) tptp.fNot) @t200)))))))) % 0.87/1.68 (assume @p964 (forall @t34 (=> @t846 (forall @t1605 (= (tptp.hAPP @t237 @t14 @t1566 (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t1433 @t694) @t692)) (tptp.hAPP @t237 @t14 @t1604 @t1568)))))) % 0.87/1.68 (assume @p965 (forall @t34 (=> @t846 (forall @t1608 (= (tptp.hAPP @t237 @t14 @t1566 (tptp.hAPP tptp.nat @t237 @t1607 @t921)) (tptp.hAPP @t237 @t14 @t1606 @t1568)))))) % 0.87/1.68 (assume @p966 (forall @t34 (=> @t846 (forall @t1605 (= (tptp.hAPP @t237 @t14 @t1566 (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t978 @t694) @t692)) (tptp.hAPP @t237 @t14 @t1604 @t1610)))))) % 0.87/1.68 (assume @p967 (forall (@list @t21 @t14 @t13) (=> @t19 (forall (@list @t393 @t395 @t410) (=> @t1331 (= (tptp.hAPP @t16 @t13 @t1615 @t410) (tptp.hAPP @t1013 @t13 (tptp.hAPP @t82 (tptp.fun @t1013 @t13) (tptp.big_co1399186613setsum @t21 @t13) (tptp.hAPP @t1611 @t82 (tptp.hAPP @t17 (tptp.fun @t1611 @t82) (tptp.combb @t16 @t13 @t21) @t1615) (tptp.hAPP @t1611 @t1611 (tptp.hAPP @t144 @t1614 @t1613 @t143) (tptp.hAPP @t1611 @t1611 (tptp.hAPP @t144 @t1614 @t1613 @t1612) (tptp.hAPP @t1153 @t1611 (tptp.combc @t14 @t21 tptp.bool) (tptp.hAPP @t23 @t1153 (tptp.hAPP (tptp.fun @t21 @t1013) (tptp.fun @t23 @t1153) (tptp.combb @t21 @t1013 @t14) (tptp.fequal @t21)) @t395)))))) (tptp.hAPP @t16 @t1013 @t1372 @t410)))))))) % 0.87/1.68 (assume @p968 (forall @t1357 (=> @t1624 (forall (@list @t395 @t411 @t1345 @t410) (=> @t1331 (=> (tptp.hBOOL (tptp.hAPP @t42 tptp.bool @t41 @t1345)) (= (tptp.hAPP @t16 @t21 (tptp.hAPP @t23 @t1351 @t1618 (tptp.hAPP @t64 @t23 (tptp.hAPP @t1623 (tptp.fun @t64 @t23) (tptp.combs @t14 @t42 @t21) (tptp.hAPP @t30 @t1623 (tptp.hAPP (tptp.fun @t25 @t1347) (tptp.fun @t30 @t1623) (tptp.combb @t25 @t1347 @t14) @t1620) @t395)) (tptp.hAPP @t64 @t64 (tptp.hAPP @t1402 @t1508 @t1622 @t1599) (tptp.hAPP @t64 @t64 (tptp.hAPP @t1402 @t1508 @t1622 (tptp.hAPP @t1621 @t1402 (tptp.combs @t13 tptp.bool tptp.bool) (tptp.hAPP @t42 @t1621 (tptp.hAPP @t162 (tptp.fun @t42 @t1621) (tptp.combb tptp.bool @t161 @t13) tptp.fconj) (tptp.hAPP @t42 @t42 (tptp.hAPP (tptp.fun @t13 @t43) @t1402 (tptp.combc @t13 @t42 tptp.bool) @t430) @t1345)))) @t411)))) @t410) (tptp.hAPP @t42 @t21 (tptp.hAPP @t25 @t1347 @t1620 (tptp.hAPP @t769 @t25 (tptp.hAPP @t1619 (tptp.fun @t769 @t25) (tptp.combs @t13 @t16 @t21) (tptp.hAPP @t29 @t1619 (tptp.hAPP (tptp.fun @t23 @t1351) (tptp.fun @t29 @t1619) (tptp.combb @t23 @t1351 @t13) @t1618) (tptp.hAPP @t30 @t29 @t28 @t395))) (tptp.hAPP @t769 @t769 (tptp.hAPP @t144 @t1617 @t1616 @t143) (tptp.hAPP @t769 @t769 (tptp.hAPP @t144 @t1617 @t1616 @t1612) (tptp.hAPP @t64 @t769 @t1096 @t411))))) @t1345)))))))) % 0.87/1.68 (assume @p969 (forall @t500 (= (tptp.hAPP @t16 @t16 @t1558 @t300) @t627))) % 0.87/1.68 (assume @p970 (forall @t1496 (= (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1557 @t300) @t428) @t626))) % 0.87/1.68 (assume @p971 (forall @t797 (= @t785 (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1557 @t404) @t786)))) % 0.87/1.68 (assume @p972 (forall (@list @t14 @t175 @t401 @t200) (= (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t302 (tptp.hAPP @t16 @t16 @t1558 @t404))) (and @t403 @t652)))) % 0.87/1.68 (assume @p973 (forall @t1495 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1557 @t656) @t655) @t292)) (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t488 (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1557 @t411) @t410)))))) % 0.87/1.68 (assume @p974 (forall @t1465 (=> @t1572 @t1463))) % 0.87/1.68 (assume @p975 (forall @t1465 (=> @t1572 @t402))) % 0.87/1.68 (assume @p976 (forall @t636 (=> @t1573 @t633))) % 0.87/1.68 (assume @p977 (forall @t636 (=> @t1573 @t634))) % 0.87/1.68 (assume @p978 (forall @t1490 (= (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1557 @t1559) @t640) @t1625))) % 0.87/1.68 (assume @p979 (forall @t636 (= @t1573 (and @t634 @t633)))) % 0.87/1.68 (assume @p980 (forall @t1490 (= @t1625 (tptp.hAPP @t16 @t16 @t1592 @t1590)))) % 0.87/1.68 (assume @p981 (forall @t631 (= (tptp.hAPP @t16 @t16 @t1558 @t1559) @t1559))) % 0.87/1.68 (assume @p982 (forall @t631 (= @t1559 @t1596))) % 0.87/1.68 (assume @p983 (forall @t631 (= @t1559 @t1626))) % 0.87/1.68 (assume @p984 (forall @t500 (= (tptp.hAPP @t16 @t16 @t1558 @t401) @t627))) % 0.87/1.68 (assume @p985 (forall @t1479 (=> @t649 (=> @t1478 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1627 (tptp.hAPP @t16 @t16 @t1594 @t1146))))))) % 0.87/1.68 (assume @p986 (forall @t1597 (=> @t1584 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1583 @t428)) (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1583 @t1559)))))) % 0.87/1.68 (assume @p987 (forall @t738 (=> @t630 (= @t1559 @t626)))) % 0.87/1.68 (assume @p988 (forall @t631 (=> @t565 (= @t1559 @t627)))) % 0.87/1.68 (assume @p989 (forall @t631 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1627 @t428)))) % 0.87/1.68 (assume @p990 (forall @t631 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t1627 @t401)))) % 0.87/1.68 (assume @p991 (forall @t1006 (=> @t490 (=> @t566 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t424 @t1559)))))) % 0.87/1.68 (assume @p992 (forall @t20 (=> @t19 (forall (@list @t395 @t200 @t401) (=> @t765 (= (tptp.hAPP @t16 @t13 @t1634 (tptp.hAPP @t16 @t16 @t143 (tptp.hAPP @t16 @t16 @t1098 @t200))) (tptp.hAPP @t16 @t13 (tptp.hAPP @t18 @t17 @t15 (tptp.hAPP @t13 @t18 (tptp.hAPP @t54 @t1633 @t1632 (tptp.hAPP @t18 @t54 (tptp.hAPP @t1629 @t1321 @t1631 (tptp.hAPP @t16 @t1629 @t1630 @t200)) @t395)) @t1628)) @t401))))))) % 0.87/1.68 (assume @p993 (forall @t20 (=> @t19 (forall @t1636 (=> @t765 (= (tptp.hAPP @t16 @t13 @t1634 @t1626) @t1635)))))) % 0.87/1.68 (assume @p994 (forall @t761 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t16 @t73 @t553 (tptp.hAPP @t42 @t16 @t983 (tptp.hAPP @t42 @t42 (tptp.hAPP @t42 @t1402 @t1600 @t401) @t428))) (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1557 @t984) @t1473))))) % 0.87/1.68 (assume @p995 (forall @t34 (=> @t846 (forall @t1608 (= (tptp.hAPP @t237 @t14 @t1566 (tptp.hAPP tptp.nat @t237 @t1637 @t921)) (tptp.hAPP @t237 @t14 @t1606 @t1610)))))) % 0.87/1.68 (assume @p996 (forall @t34 (=> @t110 (forall (@list @t341 @t285 @t283) (=> @t1640 (not (=> @t1325 (not @t1534)))))))) % 0.87/1.68 (assume @p997 (forall @t34 (=> @t110 (forall @t1542 (=> @t471 (=> @t1541 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t1641 (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t109 @t362) @t516))))))))) % 0.87/1.68 (assume @p998 (forall @t34 (=> @t110 (forall @t361 (=> @t457 (=> @t464 (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t449 @t1581)))))))) % 0.87/1.68 (assume @p999 (forall @t34 (=> @t110 (forall @t1533 (=> @t1325 (=> @t1534 @t1640)))))) % 0.87/1.68 (assume @p1000 (forall @t34 (=> @t110 (forall @t463 (=> @t456 (= @t1577 @t345)))))) % 0.87/1.68 (assume @p1001 (forall @t34 (=> @t110 (forall @t352 (=> @t457 (= @t1577 @t346)))))) % 0.87/1.68 (assume @p1002 (forall @t34 (=> @t110 (forall @t1543 (=> @t1538 @t1642))))) % 0.87/1.68 (assume @p1003 (forall @t34 (=> @t110 (forall @t1540 (=> @t1539 @t1642))))) % 0.87/1.68 (assume @p1004 (forall @t34 (=> @t110 (forall @t1531 (= (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t474 (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t109 @t174) @t182))) (and @t475 @t1530)))))) % 0.87/1.68 (assume @p1005 (forall @t34 (=> @t110 (forall @t390 (= @t475 (= @t1643 @t385)))))) % 0.87/1.68 (assume @p1006 (forall @t34 (=> @t110 @t1645))) % 0.87/1.68 (assume @p1007 (forall @t34 (=> @t1503 @t1645))) % 0.87/1.68 (assume @p1008 (forall @t34 (=> @t110 @t1646))) % 0.87/1.68 (assume @p1009 (forall @t34 (=> @t1503 @t1646))) % 0.87/1.68 (assume @p1010 (forall @t34 (=> @t1545 (forall @t390 (= (= @t1643 @t124) (and (= @t385 @t124) (= @t384 @t124))))))) % 0.87/1.68 (assume @p1011 (forall @t34 (=> @t1545 (forall @t392 (= (tptp.hAPP @t14 @t14 @t1574 @t124) @t346))))) % 0.87/1.68 (assume @p1012 (forall @t34 (=> @t1545 (forall @t392 (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t109 @t124) @t341) @t346))))) % 0.87/1.68 (assume @p1013 (forall @t147 (=> @t1503 (forall @t1502 (= (tptp.hAPP @t13 @t14 (tptp.hAPP @t36 @t36 (tptp.hAPP @t36 @t1413 (tptp.semilattice_inf_inf @t36) @t395) @t393) @t175) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t109 @t987) @t835)))))) % 0.87/1.68 (assume @p1014 (forall @t34 (=> @t110 @t1648))) % 0.87/1.68 (assume @p1015 (forall @t34 (=> @t1503 @t1648))) % 0.87/1.68 (assume @p1016 (forall @t34 (=> @t110 (forall @t573 (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t109 @t1639) @t362) @t1650))))) % 0.87/1.68 (assume @p1017 (forall @t34 (=> @t110 @t1651))) % 0.87/1.68 (assume @p1018 (forall @t34 (=> @t1503 @t1651))) % 0.87/1.68 (assume @p1019 (forall @t34 (=> @t110 (forall @t571 (= (tptp.hAPP @t14 @t14 @t1649 (tptp.hAPP @t14 @t14 @t1638 @t362)) @t1650))))) % 0.87/1.68 (assume @p1020 (forall @t34 (=> @t110 @t1652))) % 0.87/1.68 (assume @p1021 (forall @t34 (=> @t1503 @t1652))) % 0.87/1.68 (assume @p1022 (forall @t34 (=> @t110 (forall @t380 (= (tptp.hAPP @t14 @t14 @t1638 @t1639) @t1639))))) % 0.87/1.68 (assume @p1023 (forall @t34 (=> @t110 @t1653))) % 0.87/1.68 (assume @p1024 (forall @t34 (=> @t1503 @t1653))) % 0.87/1.68 (assume @p1025 (forall @t34 (=> @t110 (forall @t380 (= @t1639 (tptp.hAPP @t14 @t14 @t1649 @t285)))))) % 0.87/1.68 (assume @p1026 (forall @t20 (=> @t1505 (forall @t1504 (= (tptp.hAPP @t14 @t13 (tptp.hAPP @t18 @t18 (tptp.hAPP @t18 @t1158 (tptp.semilattice_inf_inf @t18) @t395) @t393) @t292) (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t51 (tptp.semilattice_inf_inf @t13) @t399) @t398)))))) % 0.87/1.68 (assume @p1027 (forall @t34 (=> @t110 @t1654))) % 0.87/1.68 (assume @p1028 (forall @t34 (=> @t110 (forall @t305 (= (tptp.hAPP @t14 @t14 @t1638 @t285) @t286))))) % 0.87/1.68 (assume @p1029 (forall @t34 (=> @t110 (forall @t1540 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t371 @t341)) @t1655))))) % 0.87/1.68 (assume @p1030 (forall @t34 (=> @t110 (forall @t1543 (=> (tptp.hBOOL (tptp.hAPP @t14 tptp.bool @t368 @t341)) @t1655))))) % 0.87/1.68 (assume @p1031 (forall @t34 (=> @t846 (forall @t1571 (=> @t729 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t861 @t1561)) (= (tptp.hAPP @t14 @t14 @t1657 (tptp.hAPP @t237 @t14 @t1566 (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t978 @t328) @t1561))) (tptp.hAPP @t237 @t14 @t1566 (tptp.hAPP tptp.nat @t237 @t1609 @t1561))))))))) % 0.87/1.68 (assume @p1032 (forall @t1659 (=> (= (tptp.hAPP tptp.nat tptp.nat @t395 @t839) @t839) (= (tptp.hAPP @t237 tptp.nat @t1658 (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t1433 @t902) @t686)) (tptp.hAPP @t237 tptp.nat @t1658 (tptp.hAPP tptp.nat @t237 @t1438 @t686)))))) % 0.87/1.68 (assume @p1033 (forall (@list @t14 @t13 @t428 @t401 @t395 @t640) (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t424 @t640)) (=> @t649 (=> @t642 @t1660))))) % 0.87/1.68 (assume @p1034 (forall @t1047 (=> @t425 @t1660))) % 0.87/1.68 (assume @p1035 (forall @t34 (=> @t846 (forall @t1659 (=> (= (tptp.hAPP tptp.nat @t14 @t395 @t839) @t101) (= (tptp.hAPP @t237 @t14 @t1566 (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t978 @t902) @t686)) (tptp.hAPP @t237 @t14 @t1566 (tptp.hAPP tptp.nat @t237 @t979 @t686)))))))) % 0.87/1.68 (assume @p1036 (forall @t34 (=> @t846 (forall @t1608 (=> @t663 (= @t1656 (tptp.hAPP @t14 @t14 @t1661 (tptp.hAPP @t237 @t14 @t1566 (tptp.hAPP tptp.nat @t237 @t1637 @t328))))))))) % 0.87/1.68 (assume @p1037 (forall @t34 (=> @t846 (forall @t1608 (=> @t729 (= @t1569 (tptp.hAPP @t14 @t14 @t1661 (tptp.hAPP @t237 @t14 @t1566 (tptp.hAPP tptp.nat @t237 @t1607 @t328))))))))) % 0.87/1.68 (assume @p1038 (forall @t738 (=> @t765 (=> @t774 (= @t1664 @t1663))))) % 0.87/1.68 (assume @p1039 (forall @t738 (=> @t765 (=> @t774 (= @t1663 @t1664))))) % 0.87/1.68 (assume @p1040 (forall @t34 (=> @t846 (forall @t1666 (and (=> @t661 (= @t1665 @t101)) (=> @t919 (= @t1665 (tptp.hAPP @t14 @t14 @t1657 @t952)))))))) % 0.87/1.68 (assume @p1041 (forall @t34 (=> @t846 (forall @t1666 (and (=> @t1668 (= @t1667 @t101)) (=> (not @t1668) (= @t1667 (tptp.hAPP @t14 @t14 @t1570 (tptp.hAPP tptp.nat @t14 @t395 @t921))))))))) % 0.87/1.68 (assume @p1042 (forall @t34 (=> @t846 (forall @t676 (=> @t729 (= (tptp.hAPP @t237 @t14 @t1669 @t1568) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 (tptp.hAPP tptp.nat @t14 @t200 @t659)) (tptp.hAPP @t237 @t14 @t1669 (tptp.hAPP tptp.nat @t237 (tptp.hAPP tptp.nat @t253 @t1122 @t659) @t328))))))))) % 0.87/1.68 (assume @p1043 (forall @t738 (=> @t765 (=> @t774 (=> (=> (exists @t298 (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t488 @t1559))) @t901) (= @t1662 @t1664)))))) % 0.87/1.68 (assume @p1044 (forall @t20 (=> @t1324 (forall (@list @t395 @t1345 @t410) (=> @t1331 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t764 @t1345)) (=> (forall @t298 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t488 (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1557 @t410) @t1345))) @t1329)) (= (tptp.hAPP @t16 @t13 @t1327 (tptp.hAPP @t16 @t16 (tptp.hAPP @t16 @t144 @t1446 @t410) @t1345)) (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t51 @t1310 @t1328) (tptp.hAPP @t16 @t13 @t1327 @t1345)))))))))) % 0.87/1.68 (assume @p1045 (forall @t1509 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t14 @t42 (tptp.hAPP @t64 @t64 (tptp.hAPP @t64 @t1508 @t1670 @t561) @t560) @t292) @t289)) (tptp.hBOOL (tptp.hAPP @t66 tptp.bool @t414 (tptp.hAPP @t66 @t66 (tptp.hAPP @t66 @t1506 (tptp.semilattice_inf_inf @t66) @t411) @t410)))))) % 0.87/1.68 (assume @p1046 (forall @t20 (=> @t19 (forall @t1675 (and @t1674 @t1672))))) % 0.87/1.68 (assume @p1047 (forall @t20 (=> @t19 (forall @t1675 @t1674)))) % 0.87/1.68 (assume @p1048 (forall @t1551 (=> @t1676 (not (=> @t1549 @t1552))))) % 0.87/1.68 (assume @p1049 (forall @t1553 (=> @t1549 (=> @t1548 @t1676)))) % 0.87/1.68 (assume @p1050 (forall @t1551 (=> @t1676 @t1548))) % 0.87/1.68 (assume @p1051 (forall @t1551 (=> @t1676 @t1549))) % 0.87/1.68 (assume @p1052 (forall @t34 (=> @t1503 @t1513))) % 0.87/1.68 (assume @p1053 (forall @t34 (=> @t1503 @t1654))) % 0.87/1.68 (assume @p1054 (forall @t27 (=> @t846 (forall @t1636 (= (tptp.hAPP @t42 @t14 (tptp.hAPP @t36 @t46 @t1678 (tptp.hAPP @t1013 @t36 (tptp.hAPP @t1682 @t1685 @t1684 (tptp.hAPP @t133 @t1682 @t1683 @t395)) @t428)) @t401) (tptp.hAPP @t1013 @t14 (tptp.hAPP @t132 @t1681 @t1680 (tptp.hAPP @t42 @t132 (tptp.hAPP @t1679 (tptp.fun @t42 @t132) (tptp.combc @t21 @t42 @t14) (tptp.hAPP @t1677 @t1679 (tptp.hAPP @t56 (tptp.fun @t1677 @t1679) (tptp.combb @t36 @t46 @t21) @t1678) (tptp.hAPP @t133 @t1677 (tptp.combc @t13 @t21 @t14) @t395))) @t401)) @t428)))))) % 0.87/1.68 (assume @p1055 (forall @t147 (=> @t846 (forall @t792 (= (tptp.hAPP @t42 @t14 (tptp.hAPP @t36 @t46 @t1678 (tptp.hAPP @t14 @t36 @t35 @t101)) @t401) @t101))))) % 0.87/1.68 (assume @p1056 (forall @t147 (=> @t846 (forall (@list @t395 @t393 @t401) (= (tptp.hAPP @t42 @t14 (tptp.hAPP @t36 @t46 @t1678 (tptp.hAPP @t36 @t36 (tptp.hAPP @t1410 @t1413 @t1412 (tptp.hAPP @t36 @t1410 (tptp.hAPP @t49 @t1411 @t1409 @t89) @t395)) @t393)) @t401) (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 @t89 @t1686) (tptp.hAPP @t42 @t14 (tptp.hAPP @t36 @t46 @t1678 @t393) @t401))))))) % 0.87/1.68 (assume @p1057 (forall @t147 (=> @t1688 (forall (@list @t1377 @t395 @t401) (= (tptp.hAPP @t14 @t14 @t1687 @t1686) (tptp.hAPP @t42 @t14 (tptp.hAPP @t36 @t46 @t1678 (tptp.hAPP @t36 @t36 (tptp.hAPP @t33 @t1413 (tptp.combb @t14 @t14 @t13) @t1687) @t395)) @t401)))))) % 0.87/1.68 (assume @p1058 (forall @t147 (=> @t1688 (forall (@list @t395 @t401 @t1377) (= (tptp.hAPP @t14 @t14 @t1690 @t1377) (tptp.hAPP @t42 @t14 (tptp.hAPP @t36 @t46 @t1678 (tptp.hAPP @t14 @t36 (tptp.hAPP @t1410 @t37 (tptp.combc @t13 @t14 @t14) @t1689) @t1377)) @t401)))))) % 0.87/1.68 (assume @p1059 (forall @t27 (=> @t1688 (forall (@list @t395 @t401 @t393 @t428) (= (tptp.hAPP @t14 @t14 @t1690 (tptp.hAPP @t1013 @t14 (tptp.hAPP @t132 @t1681 @t1680 @t393) @t428)) (tptp.hAPP @t42 @t14 (tptp.hAPP @t36 @t46 @t1678 (tptp.hAPP @t1013 @t36 (tptp.hAPP @t1682 @t1685 @t1684 (tptp.hAPP @t133 @t1682 @t1683 (tptp.hAPP @t132 @t133 (tptp.hAPP @t1692 (tptp.fun @t132 @t133) (tptp.combc @t13 @t132 @t132) (tptp.hAPP @t1410 @t1692 (tptp.hAPP (tptp.fun @t33 @t1691) (tptp.fun @t1410 @t1692) (tptp.combb @t33 @t1691 @t13) (tptp.combb @t14 @t14 @t21)) @t1689)) @t393))) @t428)) @t401)))))) % 0.87/1.68 (assume @p1060 (forall @t20 (=> @t19 (forall (@list @t395 @t401) (=> @t891 (= (tptp.hAPP @t16 @t13 @t1634 @t401) @t1628)))))) % 0.87/1.68 (assume @p1061 (forall @t20 (=> @t19 (forall @t1675 @t1672)))) % 0.87/1.68 (assume @p1062 (forall (@list @t14 @t395 @t290) (=> @t993 (= (= (tptp.hAPP @t16 tptp.nat @t1695 @t290) @t839) (forall @t298 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool @t488 @t290)) (= @t1693 @t839))))))) % 0.87/1.68 (assume @p1063 (forall @t20 (=> @t19 (forall @t1700 (=> @t1331 (and (=> @t1697 (= @t1696 @t1699)) (=> @t1698 (= @t1696 @t1628)))))))) % 0.87/1.68 (assume @p1064 (forall @t20 (=> @t19 (forall @t1700 (=> @t1331 (and (=> @t1697 (= @t1701 @t1699)) (=> @t1698 (= @t1701 @t1628)))))))) % 0.87/1.68 (assume @p1065 (forall @t20 (=> @t19 (forall @t1323 (=> @t765 (= (tptp.hAPP @t16 @t13 (tptp.hAPP @t18 @t17 @t15 (tptp.hAPP @t18 @t18 (tptp.hAPP @t54 @t1158 @t1322 (tptp.hAPP @t18 @t54 (tptp.hAPP @t1314 @t1321 @t1320 @t1673) @t393)) @t989)) @t401) (tptp.hAPP @t13 @t13 @t1702 (tptp.hAPP @t16 @t13 (tptp.hAPP @t18 @t17 @t15 @t989) @t401)))))))) % 0.87/1.68 (assume @p1066 (forall @t500 (= @t756 (tptp.hAPP @t16 tptp.nat (tptp.hAPP @t158 @t40 @t1694 @t975) @t401)))) % 0.87/1.68 (assume @p1067 (forall @t31 (=> @t1624 (forall (@list @t989 @t395 @t428) (=> @t566 (= (tptp.hAPP @t42 @t21 (tptp.hAPP @t25 @t1347 @t1620 @t989) @t999) (tptp.hAPP @t16 @t21 (tptp.hAPP @t23 @t1351 @t1618 (tptp.hAPP @t18 @t23 (tptp.hAPP @t25 @t24 @t1360 @t989) @t395)) @t428))))))) % 0.87/1.68 (assume @p1068 (forall @t1068 (=> @t765 (= (= @t1704 @t902) (exists @t298 (and @t489 (= @t1693 @t902) @t1703)))))) % 0.87/1.68 (assume @p1069 (forall @t1068 (=> @t765 (= (= @t1704 @t415) (exists @t298 (and @t489 (= @t1693 @t415) @t1703)))))) % 0.87/1.68 (assume @p1070 (forall @t20 (=> @t19 (forall @t1636 (=> @t765 (= (tptp.hAPP @t16 @t13 @t1634 @t1559) @t1635)))))) % 0.87/1.68 (assume @p1071 (forall @t20 (=> @t19 (forall @t1560 (=> @t765 (=> @t774 (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t51 @t1673 (tptp.hAPP @t16 @t13 @t1615 @t1461)) (tptp.hAPP @t16 @t13 @t1615 @t1559)) (tptp.hAPP @t13 @t13 @t1702 (tptp.hAPP @t16 @t13 @t1615 @t428))))))))) % 0.87/1.68 (assume @p1072 (forall @t20 (=> @t19 (forall @t1323 (=> @t765 (=> (tptp.hBOOL (tptp.hAPP @t16 tptp.bool (tptp.hAPP @t33 @t73 @t499 @t989) @t401)) (= (tptp.hAPP @t16 @t13 @t1615 (tptp.hAPP @t16 @t16 (tptp.hAPP @t33 @t144 @t1010 @t989) @t401)) (tptp.hAPP @t16 @t13 (tptp.hAPP @t18 @t17 @t15 (tptp.hAPP @t33 @t18 (tptp.hAPP @t18 @t1155 (tptp.comp @t14 @t13 @t14) @t393) @t989)) @t401)))))))) % 0.87/1.68 (assume @p1073 (tptp.bounded_lattice tptp.bool)) % 0.87/1.68 (assume @p1074 (forall @t1709 (=> @t1708 (tptp.bounded_lattice @t1707)))) % 0.87/1.68 (assume @p1075 (forall @t1709 (=> @t1708 (tptp.bounded_lattice_top @t1707)))) % 0.87/1.68 (assume @p1076 (forall @t1709 (=> @t1710 (tptp.semilattice_sup @t1707)))) % 0.87/1.68 (assume @p1077 (forall @t1709 (=> @t1710 (tptp.semilattice_inf @t1707)))) % 0.87/1.68 (assume @p1078 (forall @t1709 (=> (tptp.distrib_lattice @t1705) (tptp.distrib_lattice @t1707)))) % 0.87/1.68 (assume @p1079 (forall @t1709 (=> (tptp.preorder @t1705) (tptp.preorder @t1707)))) % 0.87/1.68 (assume @p1080 (forall @t1709 (=> @t1712 (tptp.finite_finite @t1707)))) % 0.87/1.68 (assume @p1081 (forall @t1709 (=> @t1710 (tptp.lattice @t1707)))) % 0.87/1.68 (assume @p1082 (forall @t1709 (=> (tptp.order @t1705) (tptp.order @t1707)))) % 0.87/1.68 (assume @p1083 (forall @t1709 (=> (tptp.top @t1705) (tptp.top @t1707)))) % 0.87/1.68 (assume @p1084 (forall @t1709 (=> (tptp.ord @t1705) (tptp.ord @t1707)))) % 0.87/1.68 (assume @p1085 (tptp.semiri456707255roduct tptp.nat)) % 0.87/1.68 (assume @p1086 (tptp.ordere223160158up_add tptp.nat)) % 0.87/1.68 (assume @p1087 (tptp.ordere236663937imp_le tptp.nat)) % 0.87/1.68 (assume @p1088 (tptp.linord893533164strict tptp.nat)) % 0.87/1.68 (assume @p1089 (tptp.linord20386208strict tptp.nat)) % 0.87/1.68 (assume @p1090 (tptp.ordere779506340up_add tptp.nat)) % 0.87/1.68 (assume @p1091 (tptp.ordere216010020id_add tptp.nat)) % 0.87/1.68 (assume @p1092 (tptp.cancel146912293up_add tptp.nat)) % 0.87/1.68 (assume @p1093 (tptp.ordere453448008miring tptp.nat)) % 0.87/1.68 (assume @p1094 (tptp.ordere1490568538miring tptp.nat)) % 0.87/1.68 (assume @p1095 (tptp.cancel_semigroup_add tptp.nat)) % 0.87/1.68 (assume @p1096 (tptp.linordered_semiring tptp.nat)) % 0.87/1.68 (assume @p1097 (tptp.linordered_semidom tptp.nat)) % 0.87/1.68 (assume @p1098 (tptp.semilattice_sup tptp.nat)) % 0.87/1.68 (assume @p1099 (tptp.semilattice_inf tptp.nat)) % 0.87/1.68 (assume @p1100 (tptp.distrib_lattice tptp.nat)) % 0.87/1.68 (assume @p1101 (tptp.ab_semigroup_mult tptp.nat)) % 0.87/1.68 (assume @p1102 (tptp.comm_monoid_mult tptp.nat)) % 0.87/1.68 (assume @p1103 (tptp.ab_semigroup_add tptp.nat)) % 0.87/1.68 (assume @p1104 (tptp.ordered_semiring tptp.nat)) % 0.87/1.68 (assume @p1105 (tptp.no_zero_divisors tptp.nat)) % 0.87/1.68 (assume @p1106 (tptp.comm_monoid_add tptp.nat)) % 0.87/1.68 (assume @p1107 (tptp.comm_semiring_1 tptp.nat)) % 0.87/1.68 (assume @p1108 (tptp.comm_semiring tptp.nat)) % 0.87/1.68 (assume @p1109 (tptp.zero_neq_one tptp.nat)) % 0.87/1.68 (assume @p1110 (tptp.preorder tptp.nat)) % 0.87/1.68 (assume @p1111 (tptp.linorder tptp.nat)) % 0.87/1.68 (assume @p1112 (tptp.monoid_mult tptp.nat)) % 0.87/1.68 (assume @p1113 (tptp.monoid_add tptp.nat)) % 0.87/1.68 (assume @p1114 (tptp.semiring_0 tptp.nat)) % 0.87/1.68 (assume @p1115 (tptp.lattice tptp.nat)) % 0.87/1.68 (assume @p1116 (tptp.mult_zero tptp.nat)) % 0.87/1.68 (assume @p1117 (tptp.order tptp.nat)) % 0.87/1.68 (assume @p1118 (tptp.semiring tptp.nat)) % 0.87/1.68 (assume @p1119 (tptp.ord tptp.nat)) % 0.87/1.68 (assume @p1120 (tptp.zero tptp.nat)) % 0.87/1.68 (assume @p1121 (tptp.one tptp.nat)) % 0.87/1.68 (assume @p1122 (tptp.bounded_lattice_top tptp.bool)) % 0.87/1.68 (assume @p1123 (tptp.semilattice_sup tptp.bool)) % 0.87/1.68 (assume @p1124 (tptp.semilattice_inf tptp.bool)) % 0.87/1.68 (assume @p1125 (tptp.distrib_lattice tptp.bool)) % 0.87/1.68 (assume @p1126 (tptp.preorder tptp.bool)) % 0.87/1.68 (assume @p1127 (tptp.finite_finite tptp.bool)) % 0.87/1.68 (assume @p1128 (tptp.lattice tptp.bool)) % 0.87/1.68 (assume @p1129 (tptp.order tptp.bool)) % 0.87/1.68 (assume @p1130 (tptp.top tptp.bool)) % 0.87/1.68 (assume @p1131 (tptp.ord tptp.bool)) % 0.87/1.68 (assume @p1132 (forall @t1709 (=> @t1712 (tptp.finite_finite (tptp.sum_sum @t1706 @t1705))))) % 0.87/1.68 (assume @p1133 (forall (@list @t1705) (=> @t1711 (tptp.finite_finite (tptp.option @t1705))))) % 0.87/1.68 (assume @p1134 (forall @t1709 (=> @t1712 (tptp.finite_finite (tptp.product_prod @t1706 @t1705))))) % 0.87/1.68 (assume @p1135 (tptp.finite_finite tptp.product_unit)) % 0.87/1.68 (assume @p1136 (forall (@list @t1714 @t1713) (= (tptp.ti @t1714 @t1715) @t1715))) % 0.87/1.68 (assume @p1137 (forall @t1716 (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 (tptp.hAPP tptp.bool @t49 @t105 tptp.fTrue) @t341) @t342) @t346))) % 0.87/1.68 (assume @p1138 (forall @t1716 (= (tptp.hAPP @t14 @t14 (tptp.hAPP @t14 @t33 (tptp.hAPP tptp.bool @t49 @t105 tptp.fFalse) @t341) @t342) @t345))) % 0.87/1.68 (assume @p1139 (forall @t1719 (or (= @t1718 tptp.fTrue) (= @t1718 tptp.fFalse)))) % 0.87/1.68 (assume @p1140 (forall @t1719 (or (not @t1722) @t1721))) % 0.87/1.68 (assume @p1141 (forall @t1719 (or @t1720 @t1722))) % 0.87/1.68 (assume @p1142 (forall @t1726 (= (tptp.hAPP @t14 @t21 (tptp.hAPP @t18 @t23 (tptp.hAPP @t25 @t24 @t22 @t1717) @t1724) @t1723) (tptp.hAPP @t13 @t21 @t1717 @t1725)))) % 0.87/1.68 (assume @p1143 (forall @t1726 (= (tptp.hAPP @t14 @t21 (tptp.hAPP @t13 @t23 (tptp.hAPP @t30 @t29 @t28 @t1717) @t1724) @t1723) (tptp.hAPP @t13 @t21 @t1727 @t1724)))) % 0.87/1.68 (assume @p1144 (forall (@list @t14 @t1717) (= (tptp.hAPP @t14 @t14 @t32 @t1717) @t1728))) % 0.87/1.68 (assume @p1145 (forall (@list @t13 @t14 @t1717 @t1724) (= (tptp.hAPP @t13 @t14 (tptp.hAPP @t14 @t36 @t35 @t1717) @t1724) @t1728))) % 0.87/1.68 (assume @p1146 (forall @t1726 (= (tptp.hAPP @t14 @t21 (tptp.hAPP @t18 @t23 (tptp.hAPP @t30 @t24 @t38 @t1717) @t1724) @t1723) (tptp.hAPP @t13 @t21 @t1727 @t1725)))) % 0.87/1.68 (assume @p1147 (tptp.hBOOL tptp.fTrue)) % 0.87/1.68 (assume @p1148 (forall @t1732 (or @t1721 @t1731 @t1729))) % 0.87/1.68 (assume @p1149 (forall @t1734 (or @t1733 @t1720))) % 0.87/1.68 (assume @p1150 (forall @t1734 (or @t1733 @t1730))) % 0.87/1.68 (assume @p1151 (forall @t1732 (or @t1721 @t1735))) % 0.87/1.68 (assume @p1152 (forall @t1734 (or @t1731 @t1735))) % 0.87/1.68 (assume @p1153 (forall @t1734 (or (not @t1735) @t1720 @t1730))) % 0.87/1.68 (assume @p1154 (not (tptp.hBOOL tptp.fFalse))) % 0.87/1.68 (assume @p1155 (forall @t1716 (or (not @t1736) @t347))) % 0.87/1.68 (assume @p1156 (forall @t1716 (or @t348 @t1736))) % 0.87/1.68 (assume @p1157 (not @t270)) % 0.87/1.68 (assume @p1158 true) % 0.87/1.68 (step @p1159 :rule symm :premises (@p104)) % 0.87/1.68 (step @p1160 :rule equiv_elim1 :premises (@p1159)) % 0.87/1.68 (step @p1161 :rule reordering :premises (@p1160) :args ((or @t270 (not @t269)))) % 0.87/1.68 (step @p1162 :rule chain_m_resolution :premises (@p1161 @p103) :args (@t270 @t1737 (@list @t269))) % 0.87/1.68 (step @p1163 false :rule chain_m_resolution :premises (@p1157 @p1162) :args (false @t1737 (@list @t270))) % 0.87/1.68 ) % 0.87/1.68 % SZS output end Proof % 0.87/1.68 % cvc5 exiting %------------------------------------------------------------------------------