%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW473+7 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:05:04 AM UTC 2026 % Result : Theorem 36.26s 36.49s % Output : Proof 34.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW473+7 : TPTP v9.2.1. Released v5.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 22:09:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.50/0.92 %----Proving TF0_NAR, FOF, or CNF % 36.26/36.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 36.26/36.49 --- Run --no-e-matching --full-saturate-quant at 6... % 36.26/36.49 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 36.26/36.49 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 36.26/36.49 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 36.26/36.49 % SZS status Theorem % 36.26/36.49 % SZS output start Proof % 36.26/36.49 ( % 36.26/36.49 (declare-sort $$unsorted 0) % 36.26/36.49 (declare-const tptp.ordered_ring_abs (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.number_semiring (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.linord1117847801e_zero (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.linord1278240602ring_1 (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.combk (-> $$unsorted $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.ordered_semiring (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.member (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.comm_semiring (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.semiri532925092at_aux (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.semiring_1 (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.semiring_1_of_nat (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.finite2073411215e_idem (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.number (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.ab_group_add (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.pls $$unsorted) % 36.26/36.49 (declare-const tptp.if (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.finite_fold_image (-> $$unsorted $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.ring_n68954251visors (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.ordere453448008miring (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.undefined (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.zero (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.semiring (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.zero_neq_one (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.the_1 (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.comm_semiring_1 (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.number_number_of (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.na $$unsorted) % 36.26/36.49 (declare-const tptp.nat_case (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.comm_monoid_mult (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.semiring_char_0 (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.com $$unsorted) % 36.26/36.49 (declare-const tptp.monoid_mult (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.times_times (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.combs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.ord_less (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.cancel146912293up_add (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.number_ring (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.body $$unsorted) % 36.26/36.49 (declare-const tptp.pname $$unsorted) % 36.26/36.49 (declare-const tptp.ord_less_eq (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.pn $$unsorted) % 36.26/36.49 (declare-const tptp.ord (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.option (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.finite_folding_one (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.preorder (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.combi (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.g $$unsorted) % 36.26/36.49 (declare-const tptp.ring_1 (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.bool $$unsorted) % 36.26/36.49 (declare-const tptp.nat_neg $$unsorted) % 36.26/36.49 (declare-const tptp.combc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.zero_zero (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.finite_finite (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.fTrue $$unsorted) % 36.26/36.49 (declare-const tptp.semiri456707255roduct (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.nat_tsub $$unsorted) % 36.26/36.49 (declare-const tptp.ti (-> $$unsorted $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.ring_1_Ints (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.finite908156982e_idem (-> $$unsorted $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.fconj $$unsorted) % 36.26/36.49 (declare-const tptp.no_zero_divisors (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.partial_flat_lub (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.int $$unsorted) % 36.26/36.49 (declare-const tptp.cancel_semigroup_add (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.combb (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.the (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.ordere1490568538miring (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.finite1357897459simple (-> $$unsorted $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.one_one (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.finite_card (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.succ $$unsorted) % 36.26/36.49 (declare-const tptp.fequal (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.ordere142940540dd_abs (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.linord20386208strict (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.minus_minus (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.minus (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.one (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.ab_sem1668676832m_mult (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.linordered_ring (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.plus_plus (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.monoid_add (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.bot (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.collect (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.abs_abs (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.linordered_semiring (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.insert (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.the_elem (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.dense_linorder (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.sum_Plus (-> $$unsorted $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.fNot $$unsorted) % 36.26/36.49 (declare-const tptp.fFalse $$unsorted) % 36.26/36.49 (declare-const tptp.finite_finite_1 (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.mult_zero (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.linordered_semidom (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.fdisj $$unsorted) % 36.26/36.49 (declare-const tptp.fimplies $$unsorted) % 36.26/36.49 (declare-const tptp.x_a $$unsorted) % 36.26/36.49 (declare-const tptp.fun (-> $$unsorted $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.linord219039673up_add (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.p $$unsorted) % 36.26/36.49 (declare-const tptp.u $$unsorted) % 36.26/36.49 (declare-const tptp.ring_char_0 (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.ab_semigroup_add (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.mgt $$unsorted) % 36.26/36.49 (declare-const tptp.ab_semigroup_mult (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.mgt_call $$unsorted) % 36.26/36.49 (declare-const tptp.wt $$unsorted) % 36.26/36.49 (declare-const tptp.sum_sum (-> $$unsorted $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.order (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.finite_comp_fun_idem (-> $$unsorted $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.ordere236663937imp_le (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.nat $$unsorted) % 36.26/36.49 (declare-const tptp.ordere223160158up_add (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.linorder (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.ordered_ab_group_add (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.bot_bot (-> $$unsorted $$unsorted)) % 36.26/36.49 (declare-const tptp.linordered_field (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.ordere779506340up_add (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.group_add (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.suc $$unsorted) % 36.26/36.49 (declare-const tptp.linordered_idom (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.linord626643107strict (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.comm_monoid_add (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.ordere216010020id_add (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.ring (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.bit1 $$unsorted) % 36.26/36.49 (declare-const tptp.ordered_ring (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.linord581940658strict (-> $$unsorted Bool)) % 36.26/36.49 (declare-const tptp.linord893533164strict (-> $$unsorted Bool)) % 36.26/36.49 (define @t1 () (@var "X_a" $$unsorted)) % 36.26/36.49 (define @t2 () (@var "X_c" $$unsorted)) % 36.26/36.49 (define @t3 () (@var "X_b" $$unsorted)) % 36.26/36.49 (define @t4 () (tptp.combb @t3 @t2 @t1)) % 36.26/36.49 (define @t5 () (tptp.fun @t1 @t2)) % 36.26/36.49 (define @t6 () (tptp.fun @t1 @t3)) % 36.26/36.49 (define @t7 () (tptp.fun @t6 @t5)) % 36.26/36.49 (define @t8 () (tptp.fun @t3 @t2)) % 36.26/36.49 (define @t9 () (tptp.combc @t1 @t3 @t2)) % 36.26/36.49 (define @t10 () (tptp.fun @t3 @t5)) % 36.26/36.49 (define @t11 () (tptp.fun @t1 @t8)) % 36.26/36.49 (define @t12 () (@list @t1 @t3 @t2)) % 36.26/36.49 (define @t13 () (tptp.combi @t1)) % 36.26/36.49 (define @t14 () (tptp.fun @t1 @t1)) % 36.26/36.49 (define @t15 () (@list @t1)) % 36.26/36.49 (define @t16 () (tptp.combk @t1 @t3)) % 36.26/36.49 (define @t17 () (tptp.fun @t3 @t1)) % 36.26/36.49 (define @t18 () (tptp.combs @t1 @t3 @t2)) % 36.26/36.49 (define @t19 () (tptp.option tptp.com)) % 36.26/36.49 (define @t20 () (tptp.finite_card @t2)) % 36.26/36.49 (define @t21 () (tptp.fun @t2 tptp.bool)) % 36.26/36.49 (define @t22 () (@list @t2)) % 36.26/36.49 (define @t23 () (tptp.finite_comp_fun_idem @t3 @t2)) % 36.26/36.49 (define @t24 () (tptp.fun @t2 @t2)) % 36.26/36.49 (define @t25 () (tptp.fun @t3 @t24)) % 36.26/36.49 (define @t26 () (@list @t3 @t2)) % 36.26/36.49 (define @t27 () (tptp.finite_finite @t3)) % 36.26/36.49 (define @t28 () (tptp.fun @t3 tptp.bool)) % 36.26/36.49 (define @t29 () (tptp.fun @t28 tptp.bool)) % 36.26/36.49 (define @t30 () (@list @t3)) % 36.26/36.49 (define @t31 () (tptp.finite_fold_image @t3 @t2)) % 36.26/36.49 (define @t32 () (tptp.fun @t21 @t3)) % 36.26/36.49 (define @t33 () (tptp.fun @t3 @t32)) % 36.26/36.49 (define @t34 () (tptp.fun @t2 @t3)) % 36.26/36.49 (define @t35 () (tptp.fun @t34 @t33)) % 36.26/36.49 (define @t36 () (tptp.fun @t3 @t3)) % 36.26/36.49 (define @t37 () (tptp.fun @t3 @t36)) % 36.26/36.49 (define @t38 () (tptp.finite1357897459simple @t3 @t2)) % 36.26/36.49 (define @t39 () (tptp.fun @t32 tptp.bool)) % 36.26/36.49 (define @t40 () (tptp.fun @t34 @t39)) % 36.26/36.49 (define @t41 () (tptp.fun @t3 @t40)) % 36.26/36.49 (define @t42 () (tptp.fun @t37 @t41)) % 36.26/36.49 (define @t43 () (tptp.finite908156982e_idem @t3 @t2)) % 36.26/36.49 (define @t44 () (tptp.finite_folding_one @t3)) % 36.26/36.49 (define @t45 () (tptp.fun @t28 @t3)) % 36.26/36.49 (define @t46 () (tptp.fun @t45 tptp.bool)) % 36.26/36.49 (define @t47 () (tptp.fun @t37 @t46)) % 36.26/36.49 (define @t48 () (tptp.finite2073411215e_idem @t3)) % 36.26/36.49 (define @t49 () (tptp.abs_abs @t1)) % 36.26/36.49 (define @t50 () (tptp.ordere142940540dd_abs @t1)) % 36.26/36.49 (define @t51 () (tptp.minus_minus @t2)) % 36.26/36.49 (define @t52 () (tptp.fun @t2 @t24)) % 36.26/36.49 (define @t53 () (tptp.minus @t2)) % 36.26/36.49 (define @t54 () (tptp.one_one @t3)) % 36.26/36.49 (define @t55 () (tptp.one @t3)) % 36.26/36.49 (define @t56 () (tptp.plus_plus @t1)) % 36.26/36.49 (define @t57 () (tptp.fun @t1 @t14)) % 36.26/36.49 (define @t58 () (= (tptp.ti @t57 @t56) @t56)) % 36.26/36.49 (define @t59 () (tptp.monoid_add @t1)) % 36.26/36.49 (define @t60 () (tptp.plus_plus @t3)) % 36.26/36.49 (define @t61 () (tptp.cancel_semigroup_add @t3)) % 36.26/36.49 (define @t62 () (tptp.ab_semigroup_add @t1)) % 36.26/36.49 (define @t63 () (tptp.times_times @t1)) % 36.26/36.49 (define @t64 () (= (tptp.ti @t57 @t63) @t63)) % 36.26/36.49 (define @t65 () (tptp.ab_semigroup_mult @t1)) % 36.26/36.49 (define @t66 () (tptp.monoid_mult @t1)) % 36.26/36.49 (define @t67 () (tptp.semiring @t1)) % 36.26/36.49 (define @t68 () (tptp.no_zero_divisors @t1)) % 36.26/36.49 (define @t69 () (tptp.mult_zero @t1)) % 36.26/36.49 (define @t70 () (tptp.zero_zero @t3)) % 36.26/36.49 (define @t71 () (tptp.zero @t3)) % 36.26/36.49 (define @t72 () (tptp.the @t3)) % 36.26/36.49 (define @t73 () (tptp.undefined @t1)) % 36.26/36.49 (define @t74 () (tptp.if @t1)) % 36.26/36.49 (define @t75 () (tptp.fun tptp.int tptp.int)) % 36.26/36.49 (define @t76 () (tptp.number_number_of @t3)) % 36.26/36.49 (define @t77 () (tptp.number @t3)) % 36.26/36.49 (define @t78 () (tptp.ring_1_Ints @t3)) % 36.26/36.49 (define @t79 () (tptp.ring_1 @t3)) % 36.26/36.49 (define @t80 () (tptp.fun tptp.nat tptp.nat)) % 36.26/36.49 (define @t81 () (tptp.nat_case @t3)) % 36.26/36.49 (define @t82 () (tptp.fun tptp.nat @t3)) % 36.26/36.49 (define @t83 () (tptp.fun @t82 @t82)) % 36.26/36.49 (define @t84 () (tptp.semiring_1_of_nat @t1)) % 36.26/36.49 (define @t85 () (tptp.semiring_1 @t1)) % 36.26/36.49 (define @t86 () (tptp.semiri532925092at_aux @t3)) % 36.26/36.49 (define @t87 () (tptp.fun tptp.nat @t36)) % 36.26/36.49 (define @t88 () (tptp.semiring_1 @t3)) % 36.26/36.49 (define @t89 () (tptp.fun tptp.int tptp.bool)) % 36.26/36.49 (define @t90 () (tptp.the_1 tptp.com)) % 36.26/36.49 (define @t91 () (tptp.bot_bot @t3)) % 36.26/36.49 (define @t92 () (tptp.bot @t3)) % 36.26/36.49 (define @t93 () (tptp.ord_less @t1)) % 36.26/36.49 (define @t94 () (tptp.fun @t1 tptp.bool)) % 36.26/36.49 (define @t95 () (tptp.fun @t1 @t94)) % 36.26/36.49 (define @t96 () (tptp.ord @t1)) % 36.26/36.49 (define @t97 () (tptp.ord_less_eq @t1)) % 36.26/36.49 (define @t98 () (tptp.partial_flat_lub @t3)) % 36.26/36.49 (define @t99 () (tptp.collect @t3)) % 36.26/36.49 (define @t100 () (tptp.fun @t28 @t28)) % 36.26/36.49 (define @t101 () (tptp.image @t3 @t2)) % 36.26/36.49 (define @t102 () (tptp.fun @t28 @t21)) % 36.26/36.49 (define @t103 () (tptp.insert @t3)) % 36.26/36.49 (define @t104 () (tptp.fun @t3 @t100)) % 36.26/36.49 (define @t105 () (tptp.the_elem @t3)) % 36.26/36.49 (define @t106 () (tptp.sum_Plus @t3 @t2)) % 36.26/36.49 (define @t107 () (tptp.sum_sum @t3 @t2)) % 36.26/36.49 (define @t108 () (tptp.fun @t107 tptp.bool)) % 36.26/36.49 (define @t109 () (tptp.fun @t21 @t108)) % 36.26/36.49 (define @t110 () (tptp.fun tptp.bool tptp.bool)) % 36.26/36.49 (define @t111 () (tptp.fun tptp.bool @t110)) % 36.26/36.49 (define @t112 () (tptp.fequal @t1)) % 36.26/36.49 (define @t113 () (@var "B_2_1" $$unsorted)) % 36.26/36.49 (define @t114 () (@var "B_1_1" $$unsorted)) % 36.26/36.49 (define @t115 () (tptp.hAPP @t1 @t2 @t114 @t113)) % 36.26/36.49 (define @t116 () (@list @t1 @t2 @t114 @t113)) % 36.26/36.49 (define @t117 () (tptp.ti @t2 @t115)) % 36.26/36.49 (define @t118 () (forall (@list @t2 @t1 @t114 @t113) (= @t117 @t115))) % 36.26/36.49 (define @t119 () (tptp.member @t3)) % 36.26/36.49 (define @t120 () (tptp.fun @t3 @t29)) % 36.26/36.49 (define @t121 () (tptp.fun tptp.x_a tptp.bool)) % 36.26/36.49 (define @t122 () (tptp.fun @t121 tptp.bool)) % 36.26/36.49 (define @t123 () (tptp.fun tptp.pname tptp.bool)) % 36.26/36.49 (define @t124 () (tptp.fun tptp.pname tptp.x_a)) % 36.26/36.49 (define @t125 () (@var "Ts" $$unsorted)) % 36.26/36.49 (define @t126 () (@var "G_1" $$unsorted)) % 36.26/36.49 (define @t127 () (tptp.hAPP @t121 @t122 tptp.p @t126)) % 36.26/36.49 (define @t128 () (tptp.ord_less_eq @t121)) % 36.26/36.49 (define @t129 () (@var "A_3" $$unsorted)) % 36.26/36.49 (define @t130 () (tptp.ord_less_eq @t28)) % 36.26/36.49 (define @t131 () (tptp.fun @t28 @t29)) % 36.26/36.49 (define @t132 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t129))) % 36.26/36.49 (define @t133 () (@list @t3 @t129)) % 36.26/36.49 (define @t134 () (@var "F_1" $$unsorted)) % 36.26/36.49 (define @t135 () (@var "H" $$unsorted)) % 36.26/36.49 (define @t136 () (tptp.finite_finite @t2)) % 36.26/36.49 (define @t137 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t134))) % 36.26/36.49 (define @t138 () (@var "A_2" $$unsorted)) % 36.26/36.49 (define @t139 () (tptp.hAPP @t3 @t100 @t103 @t138)) % 36.26/36.49 (define @t140 () (tptp.hAPP @t28 @t28 @t139 @t129)) % 36.26/36.49 (define @t141 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t140))) % 36.26/36.49 (define @t142 () (@list @t3 @t138 @t129)) % 36.26/36.49 (define @t143 () (tptp.finite_card @t3)) % 36.26/36.49 (define @t144 () (tptp.hAPP @t28 tptp.nat @t143 @t129)) % 36.26/36.49 (define @t145 () (@var "F" $$unsorted)) % 36.26/36.49 (define @t146 () (tptp.hAPP @t8 @t102 @t101 @t145)) % 36.26/36.49 (define @t147 () (tptp.hAPP @t28 @t21 @t146 @t129)) % 36.26/36.49 (define @t148 () (tptp.ord_less_eq tptp.nat)) % 36.26/36.49 (define @t149 () (tptp.fun tptp.nat tptp.bool)) % 36.26/36.49 (define @t150 () (@list @t2 @t3 @t145 @t129)) % 36.26/36.49 (define @t151 () (@var "B_1" $$unsorted)) % 36.26/36.49 (define @t152 () (tptp.hAPP @t28 tptp.nat @t143 @t151)) % 36.26/36.49 (define @t153 () (tptp.hAPP tptp.nat @t149 @t148 @t144)) % 36.26/36.49 (define @t154 () (tptp.hAPP @t28 @t29 @t130 @t129)) % 36.26/36.49 (define @t155 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t154 @t151))) % 36.26/36.49 (define @t156 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t151))) % 36.26/36.49 (define @t157 () (@list @t3 @t129 @t151)) % 36.26/36.49 (define @t158 () (tptp.ti @t28 @t151)) % 36.26/36.49 (define @t159 () (tptp.ti @t28 @t129)) % 36.26/36.49 (define @t160 () (= @t159 @t158)) % 36.26/36.49 (define @t161 () (@var "X_1" $$unsorted)) % 36.26/36.49 (define @t162 () (tptp.hAPP @t3 @t100 @t103 @t161)) % 36.26/36.49 (define @t163 () (tptp.hAPP @t28 @t28 @t162 @t129)) % 36.26/36.49 (define @t164 () (tptp.hAPP @t28 tptp.nat @t143 @t163)) % 36.26/36.49 (define @t165 () (@list @t3 @t161 @t129)) % 36.26/36.49 (define @t166 () (tptp.hAPP @t3 @t29 @t119 @t161)) % 36.26/36.49 (define @t167 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t166 @t129))) % 36.26/36.49 (define @t168 () (not @t167)) % 36.26/36.49 (define @t169 () (=> @t168 (= @t164 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t144)))) % 36.26/36.49 (define @t170 () (@var "Q_3" $$unsorted)) % 36.26/36.49 (define @t171 () (@var "Pa" $$unsorted)) % 36.26/36.49 (define @t172 () (tptp.combb tptp.bool @t110 @t3)) % 36.26/36.49 (define @t173 () (tptp.fun @t3 @t110)) % 36.26/36.49 (define @t174 () (tptp.fun @t28 @t173)) % 36.26/36.49 (define @t175 () (tptp.hAPP @t111 @t174 @t172 tptp.fconj)) % 36.26/36.49 (define @t176 () (tptp.combs @t3 tptp.bool tptp.bool)) % 36.26/36.49 (define @t177 () (tptp.hAPP @t28 @t28 @t99 @t170)) % 36.26/36.49 (define @t178 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t177))) % 36.26/36.49 (define @t179 () (tptp.hAPP @t28 @t28 @t99 @t171)) % 36.26/36.49 (define @t180 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t179))) % 36.26/36.49 (define @t181 () (@list @t3 @t170 @t171)) % 36.26/36.49 (define @t182 () (@var "N" $$unsorted)) % 36.26/36.49 (define @t183 () (@var "M_1" $$unsorted)) % 36.26/36.49 (define @t184 () (tptp.minus_minus tptp.nat)) % 36.26/36.49 (define @t185 () (tptp.hAPP tptp.nat @t80 @t184 @t183)) % 36.26/36.49 (define @t186 () (tptp.hAPP tptp.nat tptp.nat @t185 @t182)) % 36.26/36.49 (define @t187 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t183)) % 36.26/36.49 (define @t188 () (tptp.hAPP tptp.nat @t80 @t184 @t187)) % 36.26/36.49 (define @t189 () (tptp.hAPP tptp.nat tptp.nat @t188 @t182)) % 36.26/36.49 (define @t190 () (tptp.hAPP tptp.nat @t149 @t148 @t182)) % 36.26/36.49 (define @t191 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t190 @t183))) % 36.26/36.49 (define @t192 () (@list @t182 @t183)) % 36.26/36.49 (define @t193 () (@var "K" $$unsorted)) % 36.26/36.49 (define @t194 () (tptp.combc tptp.nat tptp.nat tptp.bool)) % 36.26/36.49 (define @t195 () (tptp.fun tptp.nat @t149)) % 36.26/36.49 (define @t196 () (tptp.hAPP @t195 @t195 @t194 @t148)) % 36.26/36.49 (define @t197 () (tptp.collect tptp.nat)) % 36.26/36.49 (define @t198 () (tptp.finite_finite tptp.nat)) % 36.26/36.49 (define @t199 () (@list @t193)) % 36.26/36.49 (define @t200 () (@var "Na" $$unsorted)) % 36.26/36.49 (define @t201 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t200)) % 36.26/36.49 (define @t202 () (tptp.finite_card tptp.nat)) % 36.26/36.49 (define @t203 () (@list @t200)) % 36.26/36.49 (define @t204 () (@list @t129)) % 36.26/36.49 (define @t205 () (@var "Y" $$unsorted)) % 36.26/36.49 (define @t206 () (@var "X" $$unsorted)) % 36.26/36.49 (define @t207 () (= @t206 @t205)) % 36.26/36.49 (define @t208 () (@list @t206 @t205)) % 36.26/36.49 (define @t209 () (@var "Nat_4" $$unsorted)) % 36.26/36.49 (define @t210 () (@var "Nat_3" $$unsorted)) % 36.26/36.49 (define @t211 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t210)) % 36.26/36.49 (define @t212 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t182)) % 36.26/36.49 (define @t213 () (@list @t182)) % 36.26/36.49 (define @t214 () (= @t183 @t182)) % 36.26/36.49 (define @t215 () (tptp.hAPP tptp.nat @t149 @t148 @t183)) % 36.26/36.49 (define @t216 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t215 @t182))) % 36.26/36.49 (define @t217 () (@list @t183 @t182)) % 36.26/36.49 (define @t218 () (@var "K_1" $$unsorted)) % 36.26/36.49 (define @t219 () (@var "I_2" $$unsorted)) % 36.26/36.49 (define @t220 () (tptp.hAPP tptp.nat @t149 @t148 @t219)) % 36.26/36.49 (define @t221 () (@var "J" $$unsorted)) % 36.26/36.49 (define @t222 () (tptp.hAPP tptp.nat @t149 @t148 @t221)) % 36.26/36.49 (define @t223 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t220 @t221))) % 36.26/36.49 (define @t224 () (@list @t218 @t219 @t221)) % 36.26/36.49 (define @t225 () (tptp.hAPP tptp.nat @t80 @t184 @t219)) % 36.26/36.49 (define @t226 () (tptp.hAPP tptp.nat tptp.nat @t225 @t221)) % 36.26/36.49 (define @t227 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t226) @t218)) % 36.26/36.49 (define @t228 () (@list @t219 @t221 @t218)) % 36.26/36.49 (define @t229 () (tptp.hAPP @t111 @t174 @t172 tptp.fdisj)) % 36.26/36.49 (define @t230 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t187) @t182))) % 36.26/36.49 (define @t231 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t215 @t212))) % 36.26/36.49 (define @t232 () (@var "M" $$unsorted)) % 36.26/36.49 (define @t233 () (tptp.hAPP tptp.nat @t149 @t148 @t200)) % 36.26/36.49 (define @t234 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t232)) % 36.26/36.49 (define @t235 () (tptp.hAPP tptp.nat @t149 @t148 @t201)) % 36.26/36.49 (define @t236 () (@list @t200 @t232)) % 36.26/36.49 (define @t237 () (tptp.hAPP tptp.nat @t149 @t148 @t232)) % 36.26/36.49 (define @t238 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t237 @t200))) % 36.26/36.49 (define @t239 () (@list @t232 @t200)) % 36.26/36.49 (define @t240 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t235 @t232))) % 36.26/36.49 (define @t241 () (tptp.hAPP tptp.nat @t149 @t148 @t212)) % 36.26/36.49 (define @t242 () (@list @t183 @t182 @t218)) % 36.26/36.49 (define @t243 () (tptp.hAPP tptp.nat @t80 @t184 @t200)) % 36.26/36.49 (define @t244 () (tptp.hAPP tptp.nat tptp.nat @t243 @t193)) % 36.26/36.49 (define @t245 () (tptp.hAPP tptp.nat @t80 @t184 @t232)) % 36.26/36.49 (define @t246 () (tptp.hAPP tptp.nat tptp.nat @t245 @t193)) % 36.26/36.49 (define @t247 () (tptp.hAPP tptp.nat @t149 @t148 @t193)) % 36.26/36.49 (define @t248 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t247 @t200))) % 36.26/36.49 (define @t249 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t247 @t232))) % 36.26/36.49 (define @t250 () (@list @t200 @t193 @t232)) % 36.26/36.49 (define @t251 () (tptp.hAPP tptp.nat @t80 @t184 @t182)) % 36.26/36.49 (define @t252 () (tptp.hAPP tptp.nat @t149 @t148 @t218)) % 36.26/36.49 (define @t253 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t252 @t182))) % 36.26/36.49 (define @t254 () (= @t232 @t200)) % 36.26/36.49 (define @t255 () (@list @t219 @t182)) % 36.26/36.49 (define @t256 () (@var "L_1" $$unsorted)) % 36.26/36.49 (define @t257 () (@list @t256 @t183 @t182)) % 36.26/36.49 (define @t258 () (tptp.hAPP tptp.nat @t80 @t184 @t256)) % 36.26/36.49 (define @t259 () (tptp.hAPP tptp.nat tptp.nat @t258 @t183)) % 36.26/36.49 (define @t260 () (tptp.hAPP tptp.nat tptp.nat @t258 @t182)) % 36.26/36.49 (define @t261 () (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t136 @t151))) % 36.26/36.49 (define @t262 () (tptp.ord_less_eq @t21)) % 36.26/36.49 (define @t263 () (tptp.fun @t21 tptp.bool)) % 36.26/36.49 (define @t264 () (tptp.hAPP @t21 @t263 @t262 @t151)) % 36.26/36.49 (define @t265 () (@var "C_3" $$unsorted)) % 36.26/36.49 (define @t266 () (tptp.hAPP @t34 (tptp.fun @t21 @t28) (tptp.image @t2 @t3) @t145)) % 36.26/36.49 (define @t267 () (tptp.hAPP @t21 @t28 @t266 @t129)) % 36.26/36.49 (define @t268 () (tptp.hAPP @t28 @t29 @t130 @t151)) % 36.26/36.49 (define @t269 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t268 @t267))) % 36.26/36.49 (define @t270 () (@list @t2 @t3 @t145 @t129 @t151)) % 36.26/36.49 (define @t271 () (@var "N_3" $$unsorted)) % 36.26/36.49 (define @t272 () (tptp.hAPP tptp.nat @t3 @t145 @t271)) % 36.26/36.49 (define @t273 () (tptp.hAPP tptp.nat @t3 @t145 @t200)) % 36.26/36.49 (define @t274 () (tptp.ord_less_eq @t3)) % 36.26/36.49 (define @t275 () (@var "N_1" $$unsorted)) % 36.26/36.49 (define @t276 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t275)) % 36.26/36.49 (define @t277 () (tptp.hAPP tptp.nat @t3 @t145 @t276)) % 36.26/36.49 (define @t278 () (tptp.hAPP tptp.nat @t3 @t145 @t275)) % 36.26/36.49 (define @t279 () (@list @t275)) % 36.26/36.49 (define @t280 () (@list @t200 @t271 @t145)) % 36.26/36.49 (define @t281 () (tptp.order @t3)) % 36.26/36.49 (define @t282 () (@var "X_2" $$unsorted)) % 36.26/36.49 (define @t283 () (tptp.hAPP @t3 @t2 @t145 @t282)) % 36.26/36.49 (define @t284 () (tptp.fun @t3 @t21)) % 36.26/36.49 (define @t285 () (tptp.hAPP @t120 @t100 (tptp.combc @t3 @t28 tptp.bool) @t119)) % 36.26/36.49 (define @t286 () (tptp.hAPP @t173 @t100 @t176 (tptp.hAPP @t28 @t173 @t175 (tptp.hAPP @t28 @t28 @t285 @t129)))) % 36.26/36.49 (define @t287 () (tptp.hAPP @t3 @t29 @t119 @t282)) % 36.26/36.49 (define @t288 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t287 @t129))) % 36.26/36.49 (define @t289 () (@list @t282)) % 36.26/36.49 (define @t290 () (not @t132)) % 36.26/36.49 (define @t291 () (@var "B_3" $$unsorted)) % 36.26/36.49 (define @t292 () (tptp.hAPP @t3 @t29 @t119 @t291)) % 36.26/36.49 (define @t293 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t292 @t267))) % 36.26/36.49 (define @t294 () (tptp.member @t2)) % 36.26/36.49 (define @t295 () (tptp.hBOOL (tptp.hAPP @t21 tptp.bool (tptp.hAPP @t2 @t263 @t294 @t161) @t129))) % 36.26/36.49 (define @t296 () (=> @t295 @t293)) % 36.26/36.49 (define @t297 () (tptp.ti @t3 @t291)) % 36.26/36.49 (define @t298 () (= @t297 (tptp.hAPP @t2 @t3 @t145 @t161))) % 36.26/36.49 (define @t299 () (@list @t3 @t2 @t129 @t291 @t145 @t161)) % 36.26/36.49 (define @t300 () (forall @t299 (=> @t298 @t296))) % 36.26/36.49 (define @t301 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t268 @t129))) % 36.26/36.49 (define @t302 () (@var "C_1" $$unsorted)) % 36.26/36.49 (define @t303 () (tptp.hAPP @t3 @t29 @t119 @t302)) % 36.26/36.49 (define @t304 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t303 @t151))) % 36.26/36.49 (define @t305 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t303 @t129))) % 36.26/36.49 (define @t306 () (=> @t305 @t304)) % 36.26/36.49 (define @t307 () (@list @t3 @t302 @t129 @t151)) % 36.26/36.49 (define @t308 () (tptp.hAPP @t3 @t100 @t103 @t291)) % 36.26/36.49 (define @t309 () (tptp.hAPP @t28 @t28 @t308 @t151)) % 36.26/36.49 (define @t310 () (tptp.hAPP @t3 @t29 @t119 @t138)) % 36.26/36.49 (define @t311 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t310 @t309))) % 36.26/36.49 (define @t312 () (tptp.ti @t3 @t138)) % 36.26/36.49 (define @t313 () (= @t312 @t297)) % 36.26/36.49 (define @t314 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t310 @t151))) % 36.26/36.49 (define @t315 () (not @t314)) % 36.26/36.49 (define @t316 () (@list @t3 @t291 @t138 @t151)) % 36.26/36.49 (define @t317 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t310 @t129))) % 36.26/36.49 (define @t318 () (not @t313)) % 36.26/36.49 (define @t319 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t310 (tptp.hAPP @t28 @t28 @t308 @t129)))) % 36.26/36.49 (define @t320 () (@list @t3 @t138 @t291 @t129)) % 36.26/36.49 (define @t321 () (@var "I_1" $$unsorted)) % 36.26/36.49 (define @t322 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t171 @t275))) % 36.26/36.49 (define @t323 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t171 @t276))) % 36.26/36.49 (define @t324 () (forall @t279 (=> @t323 @t322))) % 36.26/36.49 (define @t325 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t171 @t193))) % 36.26/36.49 (define @t326 () (@list @t321 @t171 @t193)) % 36.26/36.49 (define @t327 () (@var "M_2" $$unsorted)) % 36.26/36.49 (define @t328 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t327)) % 36.26/36.49 (define @t329 () (@var "M_4" $$unsorted)) % 36.26/36.49 (define @t330 () (@list @t327)) % 36.26/36.49 (define @t331 () (tptp.hAPP @t1 @t94 @t97 @t206)) % 36.26/36.49 (define @t332 () (@list @t206)) % 36.26/36.49 (define @t333 () (tptp.preorder @t1)) % 36.26/36.49 (define @t334 () (tptp.hAPP @t1 @t94 @t97 @t205)) % 36.26/36.49 (define @t335 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t334 @t206))) % 36.26/36.49 (define @t336 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t331 @t205))) % 36.26/36.49 (define @t337 () (tptp.linorder @t1)) % 36.26/36.49 (define @t338 () (@var "Y_2" $$unsorted)) % 36.26/36.49 (define @t339 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t338) @t161))) % 36.26/36.49 (define @t340 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t161) @t338))) % 36.26/36.49 (define @t341 () (tptp.ti @t3 @t338)) % 36.26/36.49 (define @t342 () (tptp.ti @t3 @t161)) % 36.26/36.49 (define @t343 () (= @t342 @t341)) % 36.26/36.49 (define @t344 () (@list @t161 @t338)) % 36.26/36.49 (define @t345 () (= @t340 @t343)) % 36.26/36.49 (define @t346 () (@list @t338 @t161)) % 36.26/36.49 (define @t347 () (@var "C" $$unsorted)) % 36.26/36.49 (define @t348 () (@var "A_1" $$unsorted)) % 36.26/36.49 (define @t349 () (tptp.hAPP @t1 @t94 @t97 @t348)) % 36.26/36.49 (define @t350 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t349 @t347))) % 36.26/36.49 (define @t351 () (@var "B" $$unsorted)) % 36.26/36.49 (define @t352 () (tptp.hAPP @t1 @t94 @t97 @t351)) % 36.26/36.49 (define @t353 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t352 @t347))) % 36.26/36.49 (define @t354 () (= @t348 @t351)) % 36.26/36.49 (define @t355 () (@list @t347 @t348 @t351)) % 36.26/36.49 (define @t356 () (tptp.hAPP @t1 @t94 @t97 @t347)) % 36.26/36.49 (define @t357 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t356 @t348))) % 36.26/36.49 (define @t358 () (tptp.ti @t1 @t351)) % 36.26/36.49 (define @t359 () (tptp.ti @t1 @t348)) % 36.26/36.49 (define @t360 () (= @t359 @t358)) % 36.26/36.49 (define @t361 () (tptp.order @t1)) % 36.26/36.49 (define @t362 () (= @t351 @t347)) % 36.26/36.49 (define @t363 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t349 @t351))) % 36.26/36.49 (define @t364 () (tptp.ti @t1 @t347)) % 36.26/36.49 (define @t365 () (= @t358 @t364)) % 36.26/36.49 (define @t366 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t352 @t348))) % 36.26/36.49 (define @t367 () (@list @t347 @t351 @t348)) % 36.26/36.49 (define @t368 () (tptp.ti @t1 @t205)) % 36.26/36.49 (define @t369 () (tptp.ti @t1 @t206)) % 36.26/36.49 (define @t370 () (= @t369 @t368)) % 36.26/36.49 (define @t371 () (@var "Z" $$unsorted)) % 36.26/36.49 (define @t372 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t334 @t371))) % 36.26/36.49 (define @t373 () (@list @t371 @t206 @t205)) % 36.26/36.49 (define @t374 () (@list @t205 @t206)) % 36.26/36.49 (define @t375 () (tptp.hAPP @t1 @t94 @t97 @t371)) % 36.26/36.49 (define @t376 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t375 @t205))) % 36.26/36.49 (define @t377 () (@list @t371 @t205 @t206)) % 36.26/36.49 (define @t378 () (tptp.hAPP @t28 @t28 @t139 @t151)) % 36.26/36.49 (define @t379 () (@list @t3 @t138 @t151)) % 36.26/36.49 (define @t380 () (tptp.hAPP @t28 @t28 @t285 @t151)) % 36.26/36.49 (define @t381 () (tptp.fequal @t3)) % 36.26/36.49 (define @t382 () (tptp.fun @t3 @t28)) % 36.26/36.49 (define @t383 () (tptp.hAPP @t382 @t382 (tptp.combc @t3 @t3 tptp.bool) @t381)) % 36.26/36.49 (define @t384 () (tptp.hAPP @t3 @t28 @t383 @t138)) % 36.26/36.49 (define @t385 () (tptp.combb tptp.bool tptp.bool @t3)) % 36.26/36.49 (define @t386 () (tptp.hAPP @t110 @t100 @t385 tptp.fNot)) % 36.26/36.49 (define @t387 () (@list @t3 @t138 @t171)) % 36.26/36.49 (define @t388 () (@var "G" $$unsorted)) % 36.26/36.49 (define @t389 () (tptp.hAPP @t3 @t2 @t388 @t282)) % 36.26/36.49 (define @t390 () (= @t283 @t389)) % 36.26/36.49 (define @t391 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t129 @t161))) % 36.26/36.49 (define @t392 () (@list @t3 @t171)) % 36.26/36.49 (define @t393 () (tptp.hAPP @t3 @t100 @t103 @t338)) % 36.26/36.49 (define @t394 () (tptp.hAPP @t28 @t28 @t393 @t129)) % 36.26/36.49 (define @t395 () (tptp.hAPP @t28 @t28 @t162 @t151)) % 36.26/36.49 (define @t396 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t166 @t151))) % 36.26/36.49 (define @t397 () (not @t396)) % 36.26/36.49 (define @t398 () (@list @t3 @t151 @t161 @t129)) % 36.26/36.49 (define @t399 () (@list @t3 @t161 @t129 @t151)) % 36.26/36.49 (define @t400 () (@var "C_2" $$unsorted)) % 36.26/36.49 (define @t401 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t154 @t400))) % 36.26/36.49 (define @t402 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t268 @t400))) % 36.26/36.49 (define @t403 () (@list @t3 @t400 @t129 @t151)) % 36.26/36.49 (define @t404 () (tptp.hAPP @t2 @t3 @t145 @t282)) % 36.26/36.49 (define @t405 () (@var "Z_2" $$unsorted)) % 36.26/36.49 (define @t406 () (tptp.ti @t3 @t405)) % 36.26/36.49 (define @t407 () (tptp.hAPP @t2 @t263 @t294 @t282)) % 36.26/36.49 (define @t408 () (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t407 @t129))) % 36.26/36.49 (define @t409 () (tptp.hAPP @t3 @t2 @t145 @t161)) % 36.26/36.49 (define @t410 () (@list @t2 @t3 @t145 @t161 @t129)) % 36.26/36.49 (define @t411 () (@var "Xa" $$unsorted)) % 36.26/36.49 (define @t412 () (tptp.hAPP @t3 @t100 @t103 @t282)) % 36.26/36.49 (define @t413 () (@var "X_d" $$unsorted)) % 36.26/36.49 (define @t414 () (tptp.fun @t413 @t3)) % 36.26/36.49 (define @t415 () (tptp.fun @t413 @t2)) % 36.26/36.49 (define @t416 () (tptp.fun @t413 tptp.bool)) % 36.26/36.49 (define @t417 () (@var "Y_3" $$unsorted)) % 36.26/36.49 (define @t418 () (tptp.image @t3 @t3)) % 36.26/36.49 (define @t419 () (tptp.ord_less_eq @t2)) % 36.26/36.49 (define @t420 () (tptp.hAPP @t2 @t21 @t419 @t283)) % 36.26/36.49 (define @t421 () (forall @t289 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t420 @t389)))) % 36.26/36.49 (define @t422 () (tptp.ord_less_eq @t8)) % 36.26/36.49 (define @t423 () (tptp.fun @t8 tptp.bool)) % 36.26/36.49 (define @t424 () (tptp.hBOOL (tptp.hAPP @t8 tptp.bool (tptp.hAPP @t8 @t423 @t422 @t145) @t388))) % 36.26/36.49 (define @t425 () (@list @t145 @t388)) % 36.26/36.49 (define @t426 () (tptp.ord @t2)) % 36.26/36.49 (define @t427 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t154 @t395))) % 36.26/36.49 (define @t428 () (@var "D_3" $$unsorted)) % 36.26/36.49 (define @t429 () (tptp.hAPP @t21 @t28 @t266 @t151)) % 36.26/36.49 (define @t430 () (tptp.insert @t2)) % 36.26/36.49 (define @t431 () (tptp.fun @t21 @t21)) % 36.26/36.49 (define @t432 () (@var "AA" $$unsorted)) % 36.26/36.49 (define @t433 () (tptp.hAPP @t21 @t263 @t262 @t147)) % 36.26/36.49 (define @t434 () (@list @t3 @t151 @t129)) % 36.26/36.49 (define @t435 () (@var "N_2" $$unsorted)) % 36.26/36.49 (define @t436 () (tptp.member tptp.nat)) % 36.26/36.49 (define @t437 () (tptp.fun @t149 tptp.bool)) % 36.26/36.49 (define @t438 () (tptp.hBOOL (tptp.hAPP @t149 tptp.bool (tptp.hAPP tptp.nat @t437 @t436 @t282) @t435))) % 36.26/36.49 (define @t439 () (tptp.hBOOL (tptp.hAPP @t149 tptp.bool @t198 @t435))) % 36.26/36.49 (define @t440 () (@list @t435)) % 36.26/36.49 (define @t441 () (tptp.bot_bot @t121)) % 36.26/36.49 (define @t442 () (tptp.insert tptp.x_a)) % 36.26/36.49 (define @t443 () (tptp.fun @t121 @t121)) % 36.26/36.49 (define @t444 () (tptp.member tptp.pname)) % 36.26/36.49 (define @t445 () (tptp.fun @t123 tptp.bool)) % 36.26/36.49 (define @t446 () (@var "D_1" $$unsorted)) % 36.26/36.49 (define @t447 () (tptp.hAPP @t3 @t28 @t274 @t302)) % 36.26/36.49 (define @t448 () (tptp.hAPP @t3 @t28 @t274 @t138)) % 36.26/36.49 (define @t449 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t448 @t291))) % 36.26/36.49 (define @t450 () (tptp.minus_minus @t3)) % 36.26/36.49 (define @t451 () (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t450 @t138) @t291)) % 36.26/36.49 (define @t452 () (= @t451 (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t450 @t302) @t446))) % 36.26/36.49 (define @t453 () (@list @t138 @t291 @t302 @t446)) % 36.26/36.49 (define @t454 () (tptp.ordered_ab_group_add @t3)) % 36.26/36.49 (define @t455 () (tptp.fun @t149 @t149)) % 36.26/36.49 (define @t456 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t234) @t200))) % 36.26/36.49 (define @t457 () (tptp.hAPP @t21 @t3 @t134 @t129)) % 36.26/36.49 (define @t458 () (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t136 @t129))) % 36.26/36.49 (define @t459 () (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t34 @t39 (tptp.hAPP @t3 @t40 (tptp.hAPP @t37 @t41 @t43 @t145) @t405) @t388) @t134))) % 36.26/36.49 (define @t460 () (tptp.hAPP @t3 @t36 @t145 (tptp.hAPP @t2 @t3 @t388 @t161))) % 36.26/36.49 (define @t461 () (tptp.hAPP @t3 @t3 @t460 @t457)) % 36.26/36.49 (define @t462 () (tptp.hAPP @t2 @t431 @t430 @t161)) % 36.26/36.49 (define @t463 () (tptp.hAPP @t21 @t3 @t134 (tptp.hAPP @t21 @t21 @t462 @t129))) % 36.26/36.49 (define @t464 () (= @t463 @t461)) % 36.26/36.49 (define @t465 () (@list @t2 @t3 @t161 @t129 @t145 @t405 @t388 @t134)) % 36.26/36.49 (define @t466 () (tptp.bot_bot @t28)) % 36.26/36.49 (define @t467 () (@list @t3 @t138)) % 36.26/36.49 (define @t468 () (tptp.minus_minus @t28)) % 36.26/36.49 (define @t469 () (tptp.hAPP @t28 @t100 @t468 @t129)) % 36.26/36.49 (define @t470 () (tptp.hAPP @t28 @t28 @t469 @t151)) % 36.26/36.49 (define @t471 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t470))) % 36.26/36.49 (define @t472 () (not @t317)) % 36.26/36.49 (define @t473 () (= @t159 @t466)) % 36.26/36.49 (define @t474 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t171 @t282))) % 36.26/36.49 (define @t475 () (forall @t289 (not @t474))) % 36.26/36.49 (define @t476 () (not @t473)) % 36.26/36.49 (define @t477 () (exists @t289 @t288)) % 36.26/36.49 (define @t478 () (@list @t161)) % 36.26/36.49 (define @t479 () (@list @t2 @t3)) % 36.26/36.49 (define @t480 () (tptp.hAPP @t28 @t28 @t139 @t466)) % 36.26/36.49 (define @t481 () (tptp.hAPP @t28 @t28 @t469 @t480)) % 36.26/36.49 (define @t482 () (tptp.hAPP @t28 @t28 @t139 @t481)) % 36.26/36.49 (define @t483 () (tptp.hAPP @t28 @t28 @t162 @t466)) % 36.26/36.49 (define @t484 () (tptp.hAPP @t28 @t100 @t468 @t163)) % 36.26/36.49 (define @t485 () (tptp.hAPP @t28 @t28 @t469 @t378)) % 36.26/36.49 (define @t486 () (@list @t3 @t129 @t138 @t151)) % 36.26/36.49 (define @t487 () (tptp.hAPP @t28 @t100 @t468 @t470)) % 36.26/36.49 (define @t488 () (tptp.hAPP @t3 @t36 @t145 @t161)) % 36.26/36.49 (define @t489 () (= (tptp.hAPP @t3 @t3 @t488 @t161) @t342)) % 36.26/36.49 (define @t490 () (tptp.hAPP @t28 @t28 @t469 @t483)) % 36.26/36.49 (define @t491 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t130 @t490) @t151))) % 36.26/36.49 (define @t492 () (@list @t3 @t129 @t161 @t151)) % 36.26/36.49 (define @t493 () (=> @t168 @t155)) % 36.26/36.49 (define @t494 () (tptp.hAPP @t28 @t28 @t484 @t151)) % 36.26/36.49 (define @t495 () (=> @t396 (= @t494 @t470))) % 36.26/36.49 (define @t496 () (tptp.hAPP @t28 @t100 @t468 @t400)) % 36.26/36.49 (define @t497 () (tptp.hAPP @t28 @t100 @t468 @t151)) % 36.26/36.49 (define @t498 () (tptp.hAPP @t28 @t29 @t130 @t470)) % 36.26/36.49 (define @t499 () (tptp.hAPP @t28 @t28 @t308 @t466)) % 36.26/36.49 (define @t500 () (= @t297 @t312)) % 36.26/36.49 (define @t501 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t292 @t480))) % 36.26/36.49 (define @t502 () (@list @t3 @t291 @t138)) % 36.26/36.49 (define @t503 () (tptp.ti @t3 @t302)) % 36.26/36.49 (define @t504 () (= @t297 @t503)) % 36.26/36.49 (define @t505 () (tptp.ti @t3 @t446)) % 36.26/36.49 (define @t506 () (tptp.bot_bot @t21)) % 36.26/36.49 (define @t507 () (= (tptp.ti @t21 @t129) @t506)) % 36.26/36.49 (define @t508 () (tptp.bot_bot @t1)) % 36.26/36.49 (define @t509 () (@list @t348)) % 36.26/36.49 (define @t510 () (tptp.bot @t1)) % 36.26/36.49 (define @t511 () (= @t312 @t91)) % 36.26/36.49 (define @t512 () (@list @t138)) % 36.26/36.49 (define @t513 () (tptp.hAPP @t28 @t28 @t99 (tptp.hAPP @t28 @t28 (tptp.hAPP @t173 @t100 @t176 (tptp.hAPP @t28 @t173 @t175 @t384)) @t171))) % 36.26/36.49 (define @t514 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t171 @t138))) % 36.26/36.49 (define @t515 () (not @t514)) % 36.26/36.49 (define @t516 () (@list @t3 @t171 @t138)) % 36.26/36.49 (define @t517 () (tptp.hAPP @t3 @t28 @t381 @t138)) % 36.26/36.49 (define @t518 () (tptp.hAPP @t28 @t28 @t99 (tptp.hAPP @t28 @t28 (tptp.hAPP @t173 @t100 @t176 (tptp.hAPP @t28 @t173 @t175 @t517)) @t171))) % 36.26/36.49 (define @t519 () (tptp.hAPP @t28 tptp.nat @t143 @t490)) % 36.26/36.49 (define @t520 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t519)) % 36.26/36.49 (define @t521 () (tptp.hAPP @t21 @t431 (tptp.minus_minus @t21) @t129)) % 36.26/36.49 (define @t522 () (@var "F2" $$unsorted)) % 36.26/36.49 (define @t523 () (@var "F1" $$unsorted)) % 36.26/36.49 (define @t524 () (tptp.hAPP @t82 @t82 (tptp.hAPP @t3 @t83 @t81 @t523) @t522)) % 36.26/36.49 (define @t525 () (tptp.hAPP @t28 @t21 (tptp.hAPP @t8 @t102 @t101 (tptp.hAPP @t2 @t8 (tptp.combk @t2 @t3) @t302)) @t129)) % 36.26/36.49 (define @t526 () (= @t525 (tptp.hAPP @t21 @t21 (tptp.hAPP @t2 @t431 @t430 @t302) @t506))) % 36.26/36.49 (define @t527 () (= @t503 @t505)) % 36.26/36.49 (define @t528 () (tptp.ab_group_add @t3)) % 36.26/36.49 (define @t529 () (tptp.hAPP tptp.nat @t80 @t184 @t144)) % 36.26/36.49 (define @t530 () (tptp.hAPP tptp.nat tptp.nat @t529 @t152)) % 36.26/36.49 (define @t531 () (tptp.hAPP @t28 tptp.nat @t143 @t470)) % 36.26/36.50 (define @t532 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t171 @t134))) % 36.26/36.50 (define @t533 () (@var "F_3" $$unsorted)) % 36.26/36.50 (define @t534 () (@var "A_4" $$unsorted)) % 36.26/36.50 (define @t535 () (tptp.hAPP @t3 @t100 @t103 @t534)) % 36.26/36.50 (define @t536 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t171 @t533))) % 36.26/36.50 (define @t537 () (tptp.hAPP @t3 @t29 @t119 @t534)) % 36.26/36.50 (define @t538 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t533))) % 36.26/36.50 (define @t539 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t171 @t466))) % 36.26/36.50 (define @t540 () (@var "Pn" $$unsorted)) % 36.26/36.50 (define @t541 () (tptp.hAPP tptp.x_a @t443 @t442 (tptp.hAPP tptp.pname tptp.x_a tptp.mgt_call @t540))) % 36.26/36.50 (define @t542 () (tptp.hAPP @t19 tptp.com @t90 (tptp.hAPP tptp.pname @t19 tptp.body @t540))) % 36.26/36.50 (define @t543 () (@var "A_5" $$unsorted)) % 36.26/36.50 (define @t544 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t543))) % 36.26/36.50 (define @t545 () (=> (not (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t287 @t533))) (=> @t536 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t171 (tptp.hAPP @t28 @t28 @t412 @t533)))))) % 36.26/36.50 (define @t546 () (@list @t282 @t533)) % 36.26/36.50 (define @t547 () (@list @t3 @t171 @t134)) % 36.26/36.50 (define @t548 () (tptp.ti @t28 @t138)) % 36.26/36.50 (define @t549 () (@var "U" $$unsorted)) % 36.26/36.50 (define @t550 () (tptp.hAPP tptp.nat tptp.nat @t145 @t275)) % 36.26/36.50 (define @t551 () (@list @t3 @t161)) % 36.26/36.50 (define @t552 () (@var "B_4" $$unsorted)) % 36.26/36.50 (define @t553 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t303 @t470))) % 36.26/36.50 (define @t554 () (not @t304)) % 36.26/36.50 (define @t555 () (tptp.hAPP @t3 @t3 @t488 (tptp.hAPP @t28 @t3 @t134 @t490))) % 36.26/36.50 (define @t556 () (tptp.hAPP @t28 @t3 @t134 @t163)) % 36.26/36.50 (define @t557 () (= @t490 @t466)) % 36.26/36.50 (define @t558 () (not @t557)) % 36.26/36.50 (define @t559 () (tptp.hBOOL (tptp.hAPP @t45 tptp.bool (tptp.hAPP @t37 @t46 @t44 @t145) @t134))) % 36.26/36.50 (define @t560 () (@list @t3 @t161 @t129 @t145 @t134)) % 36.26/36.50 (define @t561 () (tptp.hAPP @t28 @t3 @t134 @t129)) % 36.26/36.50 (define @t562 () (tptp.hAPP @t3 @t3 @t460 (tptp.hAPP @t21 @t3 @t134 (tptp.hAPP @t21 @t21 @t521 (tptp.hAPP @t21 @t21 @t462 @t506))))) % 36.26/36.50 (define @t563 () (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t34 @t39 (tptp.hAPP @t3 @t40 (tptp.hAPP @t37 @t41 @t38 @t145) @t405) @t388) @t134))) % 36.26/36.50 (define @t564 () (tptp.fun @t8 @t8)) % 36.26/36.50 (define @t565 () (tptp.one_one tptp.nat)) % 36.26/36.50 (define @t566 () (=> @t167 (= @t519 (tptp.hAPP tptp.nat tptp.nat @t529 @t565)))) % 36.26/36.50 (define @t567 () (tptp.hAPP tptp.nat tptp.nat @t185 @t565)) % 36.26/36.50 (define @t568 () (@list @t3 @t161 @t145 @t134)) % 36.26/36.50 (define @t569 () (not @t295)) % 36.26/36.50 (define @t570 () (tptp.hAPP @t3 @t3 @t488 @t561)) % 36.26/36.50 (define @t571 () (=> @t476 (= @t556 @t570))) % 36.26/36.50 (define @t572 () (@var "Y_1" $$unsorted)) % 36.26/36.50 (define @t573 () (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t145 @t282) @t572)) % 36.26/36.50 (define @t574 () (@list @t282 @t572)) % 36.26/36.50 (define @t575 () (tptp.hAPP @t2 @t3 @t388 @t282)) % 36.26/36.50 (define @t576 () (@list @t2 @t3 @t129 @t145 @t405 @t388 @t134)) % 36.26/36.50 (define @t577 () (tptp.plus_plus tptp.nat)) % 36.26/36.50 (define @t578 () (tptp.hAPP tptp.nat @t80 @t577 @t565)) % 36.26/36.50 (define @t579 () (tptp.hAPP tptp.nat tptp.nat @t578 @t519)) % 36.26/36.50 (define @t580 () (tptp.hBOOL (tptp.hAPP @t45 tptp.bool (tptp.hAPP @t37 @t46 @t48 @t145) @t134))) % 36.26/36.50 (define @t581 () (tptp.hAPP @t28 @t382 (tptp.hAPP @t104 (tptp.fun @t28 @t382) (tptp.combc @t3 @t28 @t28) @t103) @t466)) % 36.26/36.50 (define @t582 () (@var "X_3" $$unsorted)) % 36.26/36.50 (define @t583 () (tptp.hAPP @t1 @t14 @t56 @t351)) % 36.26/36.50 (define @t584 () (tptp.hAPP @t1 @t1 @t583 @t347)) % 36.26/36.50 (define @t585 () (tptp.hAPP @t1 @t14 @t56 @t348)) % 36.26/36.50 (define @t586 () (tptp.hAPP @t1 @t1 @t585 @t351)) % 36.26/36.50 (define @t587 () (tptp.hAPP @t1 @t14 @t56 @t586)) % 36.26/36.50 (define @t588 () (tptp.hAPP @t1 @t1 @t587 @t347)) % 36.26/36.50 (define @t589 () (@list @t348 @t351 @t347)) % 36.26/36.50 (define @t590 () (forall @t589 (= @t588 (tptp.hAPP @t1 @t1 @t585 @t584)))) % 36.26/36.50 (define @t591 () (tptp.hAPP @t3 @t36 @t60 @t138)) % 36.26/36.50 (define @t592 () (tptp.hAPP @t3 @t3 @t591 @t302)) % 36.26/36.50 (define @t593 () (tptp.hAPP @t3 @t3 @t591 @t291)) % 36.26/36.50 (define @t594 () (@list @t138 @t291 @t302)) % 36.26/36.50 (define @t595 () (tptp.hAPP @t3 @t36 @t60 @t302)) % 36.26/36.50 (define @t596 () (tptp.hAPP @t3 @t3 @t595 @t138)) % 36.26/36.50 (define @t597 () (tptp.hAPP @t3 @t36 @t60 @t291)) % 36.26/36.50 (define @t598 () (tptp.hAPP @t3 @t3 @t597 @t138)) % 36.26/36.50 (define @t599 () (tptp.hAPP @t1 @t1 @t585 @t347)) % 36.26/36.50 (define @t600 () (forall @t589 (=> (= @t586 @t599) @t365))) % 36.26/36.50 (define @t601 () (tptp.cancel_semigroup_add @t1)) % 36.26/36.50 (define @t602 () (tptp.hAPP @t1 @t14 @t56 @t347)) % 36.26/36.50 (define @t603 () (tptp.hAPP @t1 @t1 @t602 @t348)) % 36.26/36.50 (define @t604 () (@list @t351 @t348 @t347)) % 36.26/36.50 (define @t605 () (tptp.hAPP tptp.nat @t80 @t577 @t182)) % 36.26/36.50 (define @t606 () (tptp.hAPP tptp.nat tptp.nat @t605 @t183)) % 36.26/36.50 (define @t607 () (tptp.hAPP tptp.nat @t80 @t577 @t183)) % 36.26/36.50 (define @t608 () (tptp.hAPP tptp.nat tptp.nat @t607 @t182)) % 36.26/36.50 (define @t609 () (tptp.hAPP tptp.nat @t80 @t577 @t206)) % 36.26/36.50 (define @t610 () (tptp.hAPP tptp.nat @t80 @t577 @t205)) % 36.26/36.50 (define @t611 () (tptp.hAPP tptp.nat tptp.nat @t610 @t371)) % 36.26/36.50 (define @t612 () (@list @t206 @t205 @t371)) % 36.26/36.50 (define @t613 () (tptp.hAPP tptp.nat tptp.nat @t605 @t218)) % 36.26/36.50 (define @t614 () (tptp.hAPP tptp.nat @t80 @t577 @t193)) % 36.26/36.50 (define @t615 () (tptp.hAPP tptp.nat tptp.nat @t614 @t200)) % 36.26/36.50 (define @t616 () (tptp.hAPP tptp.nat tptp.nat @t614 @t232)) % 36.26/36.50 (define @t617 () (@list @t193 @t232 @t200)) % 36.26/36.50 (define @t618 () (tptp.hAPP tptp.nat @t80 @t577 @t232)) % 36.26/36.50 (define @t619 () (tptp.hAPP tptp.nat tptp.nat @t618 @t193)) % 36.26/36.50 (define @t620 () (@list @t232 @t193 @t200)) % 36.26/36.50 (define @t621 () (tptp.hAPP @t3 @t3 @t597 @t302)) % 36.26/36.50 (define @t622 () (@list @t138 @t302 @t291)) % 36.26/36.50 (define @t623 () (tptp.ordere236663937imp_le @t3)) % 36.26/36.50 (define @t624 () (tptp.hAPP @t3 @t3 @t595 @t291)) % 36.26/36.50 (define @t625 () (@list @t302 @t138 @t291)) % 36.26/36.50 (define @t626 () (tptp.hAPP @t1 @t94 @t97 @t599)) % 36.26/36.50 (define @t627 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t626 @t584))) % 36.26/36.50 (define @t628 () (tptp.ordere779506340up_add @t1)) % 36.26/36.50 (define @t629 () (tptp.hAPP @t1 @t1 @t602 @t351)) % 36.26/36.50 (define @t630 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 @t603) @t629))) % 36.26/36.50 (define @t631 () (@var "D" $$unsorted)) % 36.26/36.50 (define @t632 () (tptp.hAPP @t1 @t1 @t583 @t631)) % 36.26/36.50 (define @t633 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t356 @t631))) % 36.26/36.50 (define @t634 () (@list @t347 @t631 @t348 @t351)) % 36.26/36.50 (define @t635 () (@list @t348 @t347 @t351)) % 36.26/36.50 (define @t636 () (tptp.ordere236663937imp_le @t1)) % 36.26/36.50 (define @t637 () (tptp.minus_minus @t1)) % 36.26/36.50 (define @t638 () (tptp.hAPP @t1 @t14 @t637 @t348)) % 36.26/36.50 (define @t639 () (tptp.hAPP @t1 @t1 @t638 @t351)) % 36.26/36.50 (define @t640 () (@list @t348 @t351)) % 36.26/36.50 (define @t641 () (tptp.group_add @t1)) % 36.26/36.50 (define @t642 () (tptp.hAPP @t1 @t14 @t637 @t586)) % 36.26/36.50 (define @t643 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t608)) % 36.26/36.50 (define @t644 () (tptp.hAPP tptp.nat tptp.nat @t607 @t212)) % 36.26/36.50 (define @t645 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 @t187) @t182)) % 36.26/36.50 (define @t646 () (@var "K_2" $$unsorted)) % 36.26/36.50 (define @t647 () (tptp.hAPP tptp.nat tptp.nat @t618 @t646)) % 36.26/36.50 (define @t648 () (@list @t646)) % 36.26/36.50 (define @t649 () (tptp.hAPP tptp.nat @t80 @t577 @t221)) % 36.26/36.50 (define @t650 () (tptp.hAPP tptp.nat tptp.nat @t649 @t183)) % 36.26/36.50 (define @t651 () (@list @t183 @t219 @t221)) % 36.26/36.50 (define @t652 () (tptp.hAPP tptp.nat tptp.nat @t607 @t221)) % 36.26/36.50 (define @t653 () (tptp.hAPP tptp.nat tptp.nat @t649 @t218)) % 36.26/36.50 (define @t654 () (tptp.hAPP tptp.nat @t80 @t577 @t219)) % 36.26/36.50 (define @t655 () (tptp.hAPP tptp.nat tptp.nat @t654 @t218)) % 36.26/36.50 (define @t656 () (tptp.hAPP tptp.nat @t149 @t148 @t655)) % 36.26/36.50 (define @t657 () (tptp.hAPP tptp.nat tptp.nat @t649 @t256)) % 36.26/36.50 (define @t658 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t252 @t256))) % 36.26/36.50 (define @t659 () (@list @t218 @t256 @t219 @t221)) % 36.26/36.50 (define @t660 () (tptp.hAPP tptp.nat tptp.nat @t607 @t218)) % 36.26/36.50 (define @t661 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t660) @t182))) % 36.26/36.50 (define @t662 () (@list @t183 @t218 @t182)) % 36.26/36.50 (define @t663 () (tptp.hAPP tptp.nat @t80 @t184 @t606)) % 36.26/36.50 (define @t664 () (tptp.hAPP tptp.nat @t80 @t577 @t218)) % 36.26/36.50 (define @t665 () (tptp.hAPP tptp.nat tptp.nat @t664 @t182)) % 36.26/36.50 (define @t666 () (tptp.hAPP tptp.nat tptp.nat @t664 @t183)) % 36.26/36.50 (define @t667 () (@list @t218 @t183 @t182)) % 36.26/36.50 (define @t668 () (tptp.hAPP tptp.nat @t80 @t184 @t660)) % 36.26/36.50 (define @t669 () (tptp.hAPP tptp.nat @t80 @t184 @t221)) % 36.26/36.50 (define @t670 () (tptp.hAPP tptp.nat tptp.nat @t669 @t218)) % 36.26/36.50 (define @t671 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t252 @t221))) % 36.26/36.50 (define @t672 () (@list @t219 @t218 @t221)) % 36.26/36.50 (define @t673 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 @t321) @t193)) % 36.26/36.50 (define @t674 () (@var "J_1" $$unsorted)) % 36.26/36.50 (define @t675 () (tptp.hAPP tptp.nat @t149 @t148 @t674)) % 36.26/36.50 (define @t676 () (tptp.hAPP tptp.nat @t80 @t184 @t674)) % 36.26/36.50 (define @t677 () (tptp.hAPP tptp.nat tptp.nat @t676 @t193)) % 36.26/36.50 (define @t678 () (= (tptp.hAPP tptp.nat tptp.nat @t605 @t186) @t183)) % 36.26/36.50 (define @t679 () (tptp.hAPP tptp.nat tptp.nat @t654 @t221)) % 36.26/36.50 (define @t680 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t679) @t218)) % 36.26/36.50 (define @t681 () (tptp.hAPP tptp.nat tptp.nat @t654 @t670)) % 36.26/36.50 (define @t682 () (tptp.hAPP tptp.nat @t149 @t148 @t321)) % 36.26/36.50 (define @t683 () (tptp.hAPP tptp.nat tptp.nat @t676 @t321)) % 36.26/36.50 (define @t684 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t682 @t674))) % 36.26/36.50 (define @t685 () (tptp.hAPP tptp.nat tptp.nat @t649 @t219)) % 36.26/36.50 (define @t686 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t685) @t218)) % 36.26/36.50 (define @t687 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 @t670) @t219)) % 36.26/36.50 (define @t688 () (tptp.hAPP tptp.nat tptp.nat @t578 @t182)) % 36.26/36.50 (define @t689 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t221)) % 36.26/36.50 (define @t690 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t670)) % 36.26/36.50 (define @t691 () (@list @t183 @t218 @t221)) % 36.26/36.50 (define @t692 () (tptp.ti @t28 @t435)) % 36.26/36.50 (define @t693 () (tptp.hAPP tptp.nat @t149 @t148 @t206)) % 36.26/36.50 (define @t694 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t693 @t611))) % 36.26/36.50 (define @t695 () (@list @t205 @t206 @t371)) % 36.26/36.50 (define @t696 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t693 @t205))) % 36.26/36.50 (define @t697 () (tptp.hAPP @t28 @t3 (tptp.hAPP @t3 @t45 @t98 @t291) @t129)) % 36.26/36.50 (define @t698 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t154 @t499))) % 36.26/36.50 (define @t699 () (tptp.fun @t28 @t100)) % 36.26/36.50 (define @t700 () (tptp.finite_comp_fun_idem @t3 @t28)) % 36.26/36.50 (define @t701 () (tptp.hAPP @t28 @t3 @t72 (tptp.hAPP @t28 @t28 (tptp.hAPP @t173 @t100 @t176 (tptp.hAPP @t28 @t173 @t175 (tptp.hAPP @t28 @t28 (tptp.hAPP @t110 @t100 @t385 (tptp.hAPP tptp.bool @t110 tptp.fimplies @t171)) (tptp.hAPP @t3 @t28 @t383 @t161)))) (tptp.hAPP @t28 @t28 (tptp.hAPP @t110 @t100 @t385 (tptp.hAPP tptp.bool @t110 tptp.fimplies (tptp.hAPP tptp.bool tptp.bool tptp.fNot @t171))) (tptp.hAPP @t3 @t28 @t383 @t338))))) % 36.26/36.50 (define @t702 () (tptp.hBOOL @t171)) % 36.26/36.50 (define @t703 () (not @t702)) % 36.26/36.50 (define @t704 () (tptp.hAPP @t3 @t24 @t145 @t161)) % 36.26/36.50 (define @t705 () (tptp.hAPP @t2 @t2 @t704 @t405)) % 36.26/36.50 (define @t706 () (tptp.hAPP @t28 @t3 @t72 @t171)) % 36.26/36.50 (define @t707 () (= @t706 @t312)) % 36.26/36.50 (define @t708 () (tptp.ti @t3 @t282)) % 36.26/36.50 (define @t709 () (forall @t289 (=> @t474 (= @t708 @t312)))) % 36.26/36.50 (define @t710 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t171 @t706))) % 36.26/36.50 (define @t711 () (@list @t572)) % 36.26/36.50 (define @t712 () (exists @t289 (and @t474 (forall @t711 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t171 @t572)) (= (tptp.ti @t3 @t572) @t708)))))) % 36.26/36.50 (define @t713 () (tptp.ord_less tptp.nat)) % 36.26/36.50 (define @t714 () (tptp.hAPP tptp.nat @t149 @t713 @t182)) % 36.26/36.50 (define @t715 () (tptp.hAPP tptp.nat @t149 @t713 @t187)) % 36.26/36.50 (define @t716 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t715 @t212))) % 36.26/36.50 (define @t717 () (tptp.hAPP tptp.nat @t149 @t713 @t183)) % 36.26/36.50 (define @t718 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t717 @t182))) % 36.26/36.50 (define @t719 () (tptp.hAPP @t195 @t195 @t194 @t713)) % 36.26/36.50 (define @t720 () (tptp.hAPP tptp.nat @t149 @t713 @t200)) % 36.26/36.50 (define @t721 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t720 @t232))) % 36.26/36.50 (define @t722 () (tptp.hAPP tptp.nat @t149 @t713 @t232)) % 36.26/36.50 (define @t723 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t722 @t200))) % 36.26/36.50 (define @t724 () (not @t254)) % 36.26/36.50 (define @t725 () (tptp.hAPP tptp.nat @t149 @t713 @t206)) % 36.26/36.50 (define @t726 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t725 @t205))) % 36.26/36.50 (define @t727 () (not @t214)) % 36.26/36.50 (define @t728 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t714 @t183))) % 36.26/36.50 (define @t729 () (@var "T_4" $$unsorted)) % 36.26/36.50 (define @t730 () (@var "S_1" $$unsorted)) % 36.26/36.50 (define @t731 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t171 @t200) @t232))) % 36.26/36.50 (define @t732 () (tptp.hAPP @t1 @t94 @t93 @t206)) % 36.26/36.50 (define @t733 () (tptp.ord_less @t3)) % 36.26/36.50 (define @t734 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t338) @t161))) % 36.26/36.50 (define @t735 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t161) @t338))) % 36.26/36.50 (define @t736 () (not @t343)) % 36.26/36.50 (define @t737 () (tptp.linorder @t3)) % 36.26/36.50 (define @t738 () (not @t735)) % 36.26/36.50 (define @t739 () (tptp.hAPP @t1 @t94 @t93 @t205)) % 36.26/36.50 (define @t740 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t739 @t206))) % 36.26/36.50 (define @t741 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t732 @t205))) % 36.26/36.50 (define @t742 () (= @t738 @t343)) % 36.26/36.50 (define @t743 () (not @t741)) % 36.26/36.50 (define @t744 () (not @t370)) % 36.26/36.50 (define @t745 () (forall @t208 (=> @t744 (=> @t743 @t740)))) % 36.26/36.50 (define @t746 () (@list @t171 @t161 @t338)) % 36.26/36.50 (define @t747 () (tptp.preorder @t3)) % 36.26/36.50 (define @t748 () (tptp.hAPP @t1 @t94 @t93 @t351)) % 36.26/36.50 (define @t749 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t748 @t348))) % 36.26/36.50 (define @t750 () (tptp.hAPP @t1 @t94 @t93 @t348)) % 36.26/36.50 (define @t751 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t750 @t351))) % 36.26/36.50 (define @t752 () (@list @t351 @t348)) % 36.26/36.50 (define @t753 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t750 @t347))) % 36.26/36.50 (define @t754 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t748 @t347))) % 36.26/36.50 (define @t755 () (tptp.hAPP @t1 @t94 @t93 @t347)) % 36.26/36.50 (define @t756 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t755 @t348))) % 36.26/36.50 (define @t757 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t732 @t371))) % 36.26/36.50 (define @t758 () (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t739 @t371)) @t757)) % 36.26/36.50 (define @t759 () (tptp.hAPP @t1 @t94 @t93 @t371)) % 36.26/36.50 (define @t760 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t759 @t206))) % 36.26/36.50 (define @t761 () (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t759 @t205)) @t760)) % 36.26/36.50 (define @t762 () (not @t360)) % 36.26/36.50 (define @t763 () (tptp.hAPP @t3 @t28 @t733 @t138)) % 36.26/36.50 (define @t764 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t763 @t291))) % 36.26/36.50 (define @t765 () (tptp.hAPP @t1 @t94 @t93 @t599)) % 36.26/36.50 (define @t766 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t765 @t584))) % 36.26/36.50 (define @t767 () (tptp.ordere223160158up_add @t1)) % 36.26/36.50 (define @t768 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t93 @t603) @t629))) % 36.26/36.50 (define @t769 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t765 @t632))) % 36.26/36.50 (define @t770 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t755 @t631))) % 36.26/36.50 (define @t771 () (=> @t770 @t769)) % 36.26/36.50 (define @t772 () (tptp.hAPP @t3 @t28 @t733 @t302)) % 36.26/36.50 (define @t773 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t720 @t234))) % 36.26/36.50 (define @t774 () (or @t723 @t254)) % 36.26/36.50 (define @t775 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t722 @t201))) % 36.26/36.50 (define @t776 () (= @t773 (= @t200 @t232))) % 36.26/36.50 (define @t777 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t717 @t212))) % 36.26/36.50 (define @t778 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t715 @t182))) % 36.26/36.50 (define @t779 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t219)) % 36.26/36.50 (define @t780 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t779) @t218))) % 36.26/36.50 (define @t781 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t221) @t218))) % 36.26/36.50 (define @t782 () (tptp.hAPP tptp.nat @t149 @t713 @t219)) % 36.26/36.50 (define @t783 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t782 @t221))) % 36.26/36.50 (define @t784 () (not @t718)) % 36.26/36.50 (define @t785 () (tptp.hAPP tptp.nat @t149 @t713 @t679)) % 36.26/36.50 (define @t786 () (@list @t219 @t221)) % 36.26/36.50 (define @t787 () (tptp.hAPP tptp.nat @t149 @t713 @t655)) % 36.26/36.50 (define @t788 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t218) @t256))) % 36.26/36.50 (define @t789 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t782 @t218))) % 36.26/36.50 (define @t790 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t725 @t611))) % 36.26/36.50 (define @t791 () (tptp.hAPP tptp.nat @t149 @t713 @t282)) % 36.26/36.50 (define @t792 () (tptp.hAPP @t149 @t149 @t197 (tptp.hAPP tptp.nat @t149 @t719 @t200))) % 36.26/36.50 (define @t793 () (tptp.image tptp.nat @t3)) % 36.26/36.50 (define @t794 () (tptp.fun @t149 @t28)) % 36.26/36.50 (define @t795 () (tptp.hAPP tptp.nat @t149 @t719 @t321)) % 36.26/36.50 (define @t796 () (tptp.fun tptp.nat @t110)) % 36.26/36.50 (define @t797 () (tptp.hAPP @t111 (tptp.fun @t149 @t796) (tptp.combb tptp.bool @t110 tptp.nat) tptp.fconj)) % 36.26/36.50 (define @t798 () (tptp.combs tptp.nat tptp.bool tptp.bool)) % 36.26/36.50 (define @t799 () (@list @t219 @t183)) % 36.26/36.50 (define @t800 () (tptp.hAPP tptp.nat @t149 @t713 @t186)) % 36.26/36.50 (define @t801 () (@list @t327 @t275)) % 36.26/36.50 (define @t802 () (@var "I" $$unsorted)) % 36.26/36.50 (define @t803 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t171 @t802))) % 36.26/36.50 (define @t804 () (tptp.hAPP tptp.nat @t149 @t713 @t802)) % 36.26/36.50 (define @t805 () (@list @t802)) % 36.26/36.50 (define @t806 () (tptp.hAPP @t3 @t28 @t733 @t273)) % 36.26/36.50 (define @t807 () (forall @t279 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t278) @t277)))) % 36.26/36.50 (define @t808 () (tptp.one_one @t1)) % 36.26/36.50 (define @t809 () (tptp.hAPP @t1 @t1 @t585 @t808)) % 36.26/36.50 (define @t810 () (tptp.linordered_semidom @t1)) % 36.26/36.50 (define @t811 () (tptp.ord_less @t28)) % 36.26/36.50 (define @t812 () (tptp.hAPP @t28 @t29 @t811 @t129)) % 36.26/36.50 (define @t813 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t812 @t400))) % 36.26/36.50 (define @t814 () (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t811 @t151) @t400)) @t813)) % 36.26/36.50 (define @t815 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t812 @t151))) % 36.26/36.50 (define @t816 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t144) @t152))) % 36.26/36.50 (define @t817 () (tptp.linordered_idom @t1)) % 36.26/36.50 (define @t818 () (@var "F_2" $$unsorted)) % 36.26/36.50 (define @t819 () (@var "J_2" $$unsorted)) % 36.26/36.50 (define @t820 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t819)) % 36.26/36.50 (define @t821 () (@list @t819)) % 36.26/36.50 (define @t822 () (not (forall @t821 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t782 @t819)) (not (= @t218 @t820)))))) % 36.26/36.50 (define @t823 () (@list @t219 @t218)) % 36.26/36.50 (define @t824 () (@var "B_5" $$unsorted)) % 36.26/36.50 (define @t825 () (tptp.hAPP @t3 @t29 @t119 @t824)) % 36.26/36.50 (define @t826 () (tptp.hAPP @t2 @t3 @t145 @t302)) % 36.26/36.50 (define @t827 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t826) @t138))) % 36.26/36.50 (define @t828 () (tptp.hAPP @t2 @t3 @t145 @t572)) % 36.26/36.50 (define @t829 () (tptp.ord_less @t2)) % 36.26/36.50 (define @t830 () (tptp.hAPP @t2 @t21 @t829 @t302)) % 36.26/36.50 (define @t831 () (tptp.hAPP @t2 @t3 @t145 @t291)) % 36.26/36.50 (define @t832 () (@list @t302 @t145 @t291 @t138)) % 36.26/36.50 (define @t833 () (tptp.hAPP @t2 @t21 @t419 @t302)) % 36.26/36.50 (define @t834 () (tptp.order @t2)) % 36.26/36.50 (define @t835 () (and @t281 @t834)) % 36.26/36.50 (define @t836 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t763 @t826))) % 36.26/36.50 (define @t837 () (@list @t302 @t138 @t145 @t291)) % 36.26/36.50 (define @t838 () (and @t834 @t281)) % 36.26/36.50 (define @t839 () (tptp.hAPP @t1 @t94 @t97 @t282)) % 36.26/36.50 (define @t840 () (tptp.hAPP @t1 @t94 @t93 @t282)) % 36.26/36.50 (define @t841 () (tptp.dense_linorder @t1)) % 36.26/36.50 (define @t842 () (@var "W_3" $$unsorted)) % 36.26/36.50 (define @t843 () (tptp.hAPP @t3 @t2 @t145 @t138)) % 36.26/36.50 (define @t844 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t830 @t843))) % 36.26/36.50 (define @t845 () (tptp.hAPP @t3 @t2 @t145 @t572)) % 36.26/36.50 (define @t846 () (tptp.hAPP @t3 @t2 @t145 @t291)) % 36.26/36.50 (define @t847 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t291) @t138))) % 36.26/36.50 (define @t848 () (tptp.hAPP @t3 @t28 @t274 @t291)) % 36.26/36.50 (define @t849 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t848 @t138))) % 36.26/36.50 (define @t850 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t829 @t843) @t302))) % 36.26/36.50 (define @t851 () (@list @t145 @t302 @t138 @t291)) % 36.26/36.50 (define @t852 () (tptp.hAPP @t21 @t108 (tptp.hAPP @t28 @t109 @t106 @t129) @t151)) % 36.26/36.50 (define @t853 () (tptp.hAPP @t108 tptp.nat (tptp.finite_card @t107) @t852)) % 36.26/36.50 (define @t854 () (= @t853 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 @t144) (tptp.hAPP @t21 tptp.nat @t20 @t151)))) % 36.26/36.50 (define @t855 () (@list @t2 @t3 @t151 @t129)) % 36.26/36.50 (define @t856 () (@var "M_3" $$unsorted)) % 36.26/36.50 (define @t857 () (tptp.hBOOL (tptp.hAPP @t108 tptp.bool (tptp.finite_finite @t107) @t852))) % 36.26/36.50 (define @t858 () (@list @t3 @t2 @t129 @t151)) % 36.26/36.50 (define @t859 () (and @t132 @t261)) % 36.26/36.50 (define @t860 () (tptp.zero_zero tptp.nat)) % 36.26/36.50 (define @t861 () (@var "S" $$unsorted)) % 36.26/36.50 (define @t862 () (@var "R_1" $$unsorted)) % 36.26/36.50 (define @t863 () (tptp.hAPP tptp.nat @t149 @t713 @t860)) % 36.26/36.50 (define @t864 () (= @t200 @t860)) % 36.26/36.50 (define @t865 () (= @t186 @t860)) % 36.26/36.50 (define @t866 () (@list @t183)) % 36.26/36.50 (define @t867 () (tptp.zero_zero @t1)) % 36.26/36.50 (define @t868 () (tptp.zero_neq_one @t1)) % 36.26/36.50 (define @t869 () (forall @t509 (= (tptp.hAPP @t1 @t1 @t585 @t867) @t359))) % 36.26/36.50 (define @t870 () (tptp.comm_monoid_add @t1)) % 36.26/36.50 (define @t871 () (= @t312 @t70)) % 36.26/36.50 (define @t872 () (tptp.hAPP @t3 @t3 @t591 @t138)) % 36.26/36.50 (define @t873 () (tptp.linord219039673up_add @t3)) % 36.26/36.50 (define @t874 () (forall @t509 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t56 @t867) @t348) @t359))) % 36.26/36.50 (define @t875 () (= @t451 @t70)) % 36.26/36.50 (define @t876 () (@list @t138 @t291)) % 36.26/36.50 (define @t877 () (= @t342 @t70)) % 36.26/36.50 (define @t878 () (= @t182 @t860)) % 36.26/36.50 (define @t879 () (= @t232 @t860)) % 36.26/36.50 (define @t880 () (tptp.hAPP tptp.nat tptp.nat @t618 @t200)) % 36.26/36.50 (define @t881 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t863 @t182))) % 36.26/36.50 (define @t882 () (not @t878)) % 36.26/36.50 (define @t883 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t863 @t200))) % 36.26/36.50 (define @t884 () (@var "Nat_2" $$unsorted)) % 36.26/36.50 (define @t885 () (@var "Nat_1" $$unsorted)) % 36.26/36.50 (define @t886 () (tptp.hAPP @t3 @t28 @t274 @t70)) % 36.26/36.50 (define @t887 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t886 @t138))) % 36.26/36.50 (define @t888 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t448 @t70))) % 36.26/36.50 (define @t889 () (tptp.hAPP @t1 @t94 @t97 @t867)) % 36.26/36.50 (define @t890 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t889 @t351))) % 36.26/36.50 (define @t891 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t889 @t348))) % 36.26/36.50 (define @t892 () (tptp.ordere216010020id_add @t1)) % 36.26/36.50 (define @t893 () (= @t341 @t70)) % 36.26/36.50 (define @t894 () (and @t877 @t893)) % 36.26/36.50 (define @t895 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t352 @t599))) % 36.26/36.50 (define @t896 () (@list @t351 @t347 @t348)) % 36.26/36.50 (define @t897 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t889 @t347))) % 36.26/36.50 (define @t898 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t352 @t867))) % 36.26/36.50 (define @t899 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t349 @t867))) % 36.26/36.50 (define @t900 () (tptp.hAPP @t3 @t28 @t733 @t70)) % 36.26/36.50 (define @t901 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t763 @t70))) % 36.26/36.50 (define @t902 () (forall @t512 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t872) @t70)) @t901))) % 36.26/36.50 (define @t903 () (tptp.hAPP @t1 @t94 @t93 @t867)) % 36.26/36.50 (define @t904 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t903 @t586))) % 36.26/36.50 (define @t905 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t903 @t351))) % 36.26/36.50 (define @t906 () (=> @t905 @t904)) % 36.26/36.50 (define @t907 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t903 @t348))) % 36.26/36.50 (define @t908 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t93 @t586) @t867))) % 36.26/36.50 (define @t909 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t748 @t867))) % 36.26/36.50 (define @t910 () (=> @t909 @t908)) % 36.26/36.50 (define @t911 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t750 @t867))) % 36.26/36.50 (define @t912 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t748 @t599))) % 36.26/36.50 (define @t913 () (=> @t754 @t912)) % 36.26/36.50 (define @t914 () (tptp.hAPP @t1 @t94 @t93 @t808)) % 36.26/36.50 (define @t915 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t860)) % 36.26/36.50 (define @t916 () (= @t200 @t915)) % 36.26/36.50 (define @t917 () (= @t232 @t915)) % 36.26/36.50 (define @t918 () (or (and @t917 @t864) (and @t879 @t916))) % 36.26/36.50 (define @t919 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t863 @t232))) % 36.26/36.50 (define @t920 () (= @t144 @t860)) % 36.26/36.50 (define @t921 () (=> @t290 @t920)) % 36.26/36.50 (define @t922 () (tptp.hAPP tptp.nat tptp.nat @t245 @t200)) % 36.26/36.50 (define @t923 () (tptp.hAPP @t1 @t14 @t56 @t808)) % 36.26/36.50 (define @t924 () (tptp.hAPP @t1 @t1 @t923 @t808)) % 36.26/36.50 (define @t925 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t863 @t144))) % 36.26/36.50 (define @t926 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t170 @t161))) % 36.26/36.50 (define @t927 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t130 @t171) @t170))) % 36.26/36.50 (define @t928 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t171 @t161))) % 36.26/36.50 (define @t929 () (@var "D_2" $$unsorted)) % 36.26/36.50 (define @t930 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t171 @t929))) % 36.26/36.50 (define @t931 () (= @t138 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 @t291) @t929))) % 36.26/36.50 (define @t932 () (@list @t929)) % 36.26/36.50 (define @t933 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t171 @t860))) % 36.26/36.50 (define @t934 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t138) @t291))) % 36.26/36.50 (define @t935 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t171 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t138) @t291)))) % 36.26/36.50 (define @t936 () (@list @t171 @t138 @t291)) % 36.26/36.50 (define @t937 () (not @t933)) % 36.26/36.50 (define @t938 () (tptp.combc tptp.nat @t149 tptp.bool)) % 36.26/36.50 (define @t939 () (tptp.fun tptp.nat @t437)) % 36.26/36.50 (define @t940 () (tptp.hAPP @t149 tptp.nat @t202 (tptp.hAPP @t149 @t149 @t197 (tptp.hAPP @t149 @t149 (tptp.hAPP @t796 @t455 @t798 (tptp.hAPP @t149 @t796 @t797 (tptp.hAPP @t149 @t149 (tptp.hAPP @t939 @t455 @t938 @t436) @t856))) (tptp.hAPP tptp.nat @t149 @t719 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t321)))))) % 36.26/36.50 (define @t941 () (tptp.hAPP @t149 tptp.nat @t202 (tptp.hAPP @t149 @t149 @t197 (tptp.hAPP @t149 @t149 (tptp.hAPP @t796 @t455 @t798 (tptp.hAPP @t149 @t796 @t797 (tptp.hAPP @t149 @t149 (tptp.hAPP @t939 @t455 @t938 (tptp.hAPP @t80 @t939 (tptp.hAPP @t939 (tptp.fun @t80 @t939) (tptp.combb tptp.nat @t437 tptp.nat) @t436) tptp.suc)) @t856))) @t795)))) % 36.26/36.50 (define @t942 () (tptp.hBOOL (tptp.hAPP @t149 tptp.bool (tptp.hAPP tptp.nat @t437 @t436 @t860) @t856))) % 36.26/36.50 (define @t943 () (@list @t321 @t856)) % 36.26/36.50 (define @t944 () (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t251 @t565))) % 36.26/36.50 (define @t945 () (= @t183 @t860)) % 36.26/36.50 (define @t946 () (not @t945)) % 36.26/36.50 (define @t947 () (not @t803)) % 36.26/36.50 (define @t948 () (tptp.hAPP tptp.nat @t149 @t148 @t802)) % 36.26/36.50 (define @t949 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t171 @t200))) % 36.26/36.50 (define @t950 () (@list @t200 @t171)) % 36.26/36.50 (define @t951 () (= @t193 @t860)) % 36.26/36.50 (define @t952 () (exists (@list @t824 @t552) (and (= @t159 (tptp.hAPP @t28 @t28 (tptp.hAPP @t3 @t100 @t103 @t824) @t552)) (not (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t825 @t552))) (= (tptp.hAPP @t28 tptp.nat @t143 @t552) @t193) (=> @t951 (= (tptp.ti @t28 @t552) @t466))))) % 36.26/36.50 (define @t953 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t193)) % 36.26/36.50 (define @t954 () (= @t144 @t953)) % 36.26/36.50 (define @t955 () (@list @t3 @t129 @t193)) % 36.26/36.50 (define @t956 () (exists @t330 (= @t182 @t328))) % 36.26/36.50 (define @t957 () (tptp.linordered_idom @t3)) % 36.26/36.50 (define @t958 () (= (= @t872 @t70) @t871)) % 36.26/36.50 (define @t959 () (@var "Nat" $$unsorted)) % 36.26/36.50 (define @t960 () (tptp.comm_semiring_1 @t1)) % 36.26/36.50 (define @t961 () (tptp.hAPP @t1 @t14 @t56 @t599)) % 36.26/36.50 (define @t962 () (tptp.hAPP @t1 @t1 @t602 @t631)) % 36.26/36.50 (define @t963 () (@list @t348 @t351 @t347 @t631)) % 36.26/36.50 (define @t964 () (tptp.hAPP @t1 @t1 @t585 @t962)) % 36.26/36.50 (define @t965 () (@list @t348 @t347 @t631)) % 36.26/36.50 (define @t966 () (@list @t291 @t138)) % 36.26/36.50 (define @t967 () (tptp.semiri456707255roduct @t3)) % 36.26/36.50 (define @t968 () (@var "E_2" $$unsorted)) % 36.26/36.50 (define @t969 () (tptp.hAPP @t1 @t14 @t56 @t205)) % 36.26/36.50 (define @t970 () (tptp.fun @t3 tptp.nat)) % 36.26/36.50 (define @t971 () (tptp.fun @t28 tptp.nat)) % 36.26/36.50 (define @t972 () (tptp.fun tptp.nat @t971)) % 36.26/36.50 (define @t973 () (tptp.fun tptp.nat @t80)) % 36.26/36.50 (define @t974 () (=> @t132 (= @t144 (tptp.hAPP @t28 tptp.nat (tptp.hAPP tptp.nat @t971 (tptp.hAPP @t970 @t972 (tptp.hAPP @t973 (tptp.fun @t970 @t972) (tptp.finite_fold_image tptp.nat @t3) @t577) (tptp.hAPP tptp.nat @t970 (tptp.combk tptp.nat @t3) @t565)) @t860) @t129)))) % 36.26/36.50 (define @t975 () (tptp.hAPP @t3 @t32 (tptp.hAPP @t34 @t33 (tptp.hAPP @t37 @t35 @t31 @t145) @t388) @t405)) % 36.26/36.50 (define @t976 () (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t60 (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t60 @t54) @t138)) @t138)) % 36.26/36.50 (define @t977 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t310 @t78))) % 36.26/36.50 (define @t978 () (@var "V" $$unsorted)) % 36.26/36.50 (define @t979 () (tptp.number_number_of tptp.nat)) % 36.26/36.50 (define @t980 () (tptp.hAPP tptp.int tptp.nat @t979 @t978)) % 36.26/36.50 (define @t981 () (@list @t978)) % 36.26/36.50 (define @t982 () (@var "U_1" $$unsorted)) % 36.26/36.50 (define @t983 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t56 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t63 @t982) @t206)) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t63 @t978) @t205))) % 36.26/36.50 (define @t984 () (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t56 @t982) @t978) @t808)) % 36.26/36.50 (define @t985 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t889 @t978))) % 36.26/36.50 (define @t986 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t889 @t982))) % 36.26/36.50 (define @t987 () (@list @t978 @t982 @t205 @t206 @t348)) % 36.26/36.50 (define @t988 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t292 @t78))) % 36.26/36.50 (define @t989 () (forall @t509 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t63 @t867) @t348) @t867))) % 36.26/36.50 (define @t990 () (tptp.hAPP @t1 @t14 @t63 @t348)) % 36.26/36.50 (define @t991 () (forall @t509 (= (tptp.hAPP @t1 @t1 @t990 @t867) @t867))) % 36.26/36.50 (define @t992 () (tptp.times_times @t3)) % 36.26/36.50 (define @t993 () (tptp.hAPP @t3 @t36 @t992 @t138)) % 36.26/36.50 (define @t994 () (tptp.hAPP @t3 @t3 @t993 @t291)) % 36.26/36.50 (define @t995 () (tptp.hAPP @t1 @t1 @t990 @t351)) % 36.26/36.50 (define @t996 () (= @t995 @t867)) % 36.26/36.50 (define @t997 () (= @t358 @t867)) % 36.26/36.50 (define @t998 () (= @t359 @t867)) % 36.26/36.50 (define @t999 () (tptp.times_times tptp.nat)) % 36.26/36.50 (define @t1000 () (tptp.hAPP tptp.nat @t80 @t999 @t183)) % 36.26/36.50 (define @t1001 () (tptp.hAPP tptp.nat @t80 @t999 @t232)) % 36.26/36.50 (define @t1002 () (tptp.hAPP tptp.nat tptp.nat @t1001 @t200)) % 36.26/36.50 (define @t1003 () (or @t254 @t951)) % 36.26/36.50 (define @t1004 () (tptp.hAPP tptp.nat @t80 @t999 @t193)) % 36.26/36.50 (define @t1005 () (tptp.hAPP tptp.nat tptp.nat @t1004 @t200)) % 36.26/36.50 (define @t1006 () (tptp.hAPP tptp.nat tptp.nat @t1004 @t232)) % 36.26/36.50 (define @t1007 () (= @t1006 @t1005)) % 36.26/36.50 (define @t1008 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t999 @t200) @t193)) % 36.26/36.50 (define @t1009 () (tptp.hAPP tptp.nat tptp.nat @t1001 @t193)) % 36.26/36.50 (define @t1010 () (tptp.hAPP @t1 @t14 @t63 @t351)) % 36.26/36.50 (define @t1011 () (tptp.hAPP @t1 @t1 @t1010 @t347)) % 36.26/36.50 (define @t1012 () (tptp.hAPP @t1 @t1 @t990 @t347)) % 36.26/36.50 (define @t1013 () (tptp.hAPP @t1 @t14 @t63 @t586)) % 36.26/36.50 (define @t1014 () (forall @t589 (= (tptp.hAPP @t1 @t1 @t1013 @t347) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t56 @t1012) @t1011)))) % 36.26/36.50 (define @t1015 () (@var "E_1" $$unsorted)) % 36.26/36.50 (define @t1016 () (forall @t509 (= (tptp.hAPP @t1 @t1 @t990 @t808) @t359))) % 36.26/36.50 (define @t1017 () (tptp.comm_monoid_mult @t1)) % 36.26/36.50 (define @t1018 () (forall @t509 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t63 @t808) @t348) @t359))) % 36.26/36.50 (define @t1019 () (tptp.hAPP tptp.nat @t80 @t999 @t953)) % 36.26/36.50 (define @t1020 () (tptp.hAPP tptp.nat tptp.nat @t1019 @t200)) % 36.26/36.50 (define @t1021 () (tptp.hAPP tptp.nat tptp.nat @t1019 @t232)) % 36.26/36.50 (define @t1022 () (tptp.hAPP tptp.nat @t80 @t999 @t182)) % 36.26/36.50 (define @t1023 () (tptp.hAPP tptp.nat tptp.nat @t1022 @t218)) % 36.26/36.50 (define @t1024 () (tptp.hAPP tptp.nat tptp.nat @t1000 @t218)) % 36.26/36.50 (define @t1025 () (tptp.hAPP tptp.nat @t80 @t999 @t218)) % 36.26/36.50 (define @t1026 () (tptp.hAPP tptp.nat tptp.nat @t1025 @t182)) % 36.26/36.50 (define @t1027 () (tptp.hAPP tptp.nat tptp.nat @t1025 @t183)) % 36.26/36.50 (define @t1028 () (tptp.hAPP tptp.nat @t80 @t999 @t221)) % 36.26/36.50 (define @t1029 () (tptp.hAPP tptp.nat @t80 @t999 @t219)) % 36.26/36.50 (define @t1030 () (tptp.hAPP tptp.nat tptp.nat @t1029 @t218)) % 36.26/36.50 (define @t1031 () (tptp.hAPP tptp.nat @t149 @t148 @t1030)) % 36.26/36.50 (define @t1032 () (tptp.hAPP tptp.nat tptp.nat @t1025 @t221)) % 36.26/36.50 (define @t1033 () (tptp.hAPP tptp.nat tptp.nat @t1025 @t219)) % 36.26/36.50 (define @t1034 () (tptp.hAPP tptp.nat tptp.nat @t1028 @t218)) % 36.26/36.50 (define @t1035 () (tptp.hAPP tptp.nat tptp.nat @t1000 @t183)) % 36.26/36.50 (define @t1036 () (tptp.hAPP @t1 @t1 @t990 @t348)) % 36.26/36.50 (define @t1037 () (tptp.ab_sem1668676832m_mult @t1)) % 36.26/36.50 (define @t1038 () (tptp.hAPP @t1 @t14 @t63 @t206)) % 36.26/36.50 (define @t1039 () (tptp.hAPP @t1 @t1 @t1038 @t206)) % 36.26/36.50 (define @t1040 () (and (= @t232 @t565) (= @t200 @t565))) % 36.26/36.50 (define @t1041 () (tptp.ord_less tptp.int)) % 36.26/36.50 (define @t1042 () (tptp.hAPP tptp.int @t3 @t76 @t338)) % 36.26/36.50 (define @t1043 () (tptp.hAPP tptp.int @t3 @t76 @t161)) % 36.26/36.50 (define @t1044 () (tptp.number_ring @t3)) % 36.26/36.50 (define @t1045 () (and @t1044 @t957)) % 36.26/36.50 (define @t1046 () (@var "W_1" $$unsorted)) % 36.26/36.50 (define @t1047 () (tptp.hAPP tptp.int @t3 @t76 @t1046)) % 36.26/36.50 (define @t1048 () (@list @t1046)) % 36.26/36.50 (define @t1049 () (@var "W" $$unsorted)) % 36.26/36.50 (define @t1050 () (tptp.number_number_of @t1)) % 36.26/36.50 (define @t1051 () (tptp.hAPP tptp.int @t1 @t1050 @t1049)) % 36.26/36.50 (define @t1052 () (tptp.hAPP tptp.int @t1 @t1050 @t978)) % 36.26/36.50 (define @t1053 () (tptp.hAPP @t1 @t14 @t63 @t1052)) % 36.26/36.50 (define @t1054 () (tptp.hAPP @t1 @t1 @t1053 @t1051)) % 36.26/36.50 (define @t1055 () (tptp.times_times tptp.int)) % 36.26/36.50 (define @t1056 () (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1055 @t978) @t1049)) % 36.26/36.50 (define @t1057 () (tptp.hAPP tptp.int @t1 @t1050 @t1056)) % 36.26/36.50 (define @t1058 () (@list @t978 @t1049)) % 36.26/36.50 (define @t1059 () (tptp.number_ring @t1)) % 36.26/36.50 (define @t1060 () (= @t161 @t338)) % 36.26/36.50 (define @t1061 () (tptp.ring_char_0 @t3)) % 36.26/36.50 (define @t1062 () (@list @t978 @t1049 @t371)) % 36.26/36.50 (define @t1063 () (tptp.ord_less_eq tptp.int)) % 36.26/36.50 (define @t1064 () (tptp.minus_minus tptp.int)) % 36.26/36.50 (define @t1065 () (tptp.hAPP tptp.int @t3 @t76 @t978)) % 36.26/36.50 (define @t1066 () (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t992 @t351) @t1065)) % 36.26/36.50 (define @t1067 () (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t992 @t348) @t1065)) % 36.26/36.50 (define @t1068 () (@list @t348 @t351 @t978)) % 36.26/36.50 (define @t1069 () (tptp.ring @t3)) % 36.26/36.50 (define @t1070 () (and @t77 @t1069)) % 36.26/36.50 (define @t1071 () (tptp.hAPP @t3 @t36 @t992 @t1065)) % 36.26/36.50 (define @t1072 () (tptp.hAPP @t3 @t3 @t1071 @t347)) % 36.26/36.50 (define @t1073 () (tptp.hAPP @t3 @t3 @t1071 @t351)) % 36.26/36.50 (define @t1074 () (@list @t978 @t351 @t347)) % 36.26/36.50 (define @t1075 () (tptp.hAPP @t1 @t14 @t56 @t1052)) % 36.26/36.50 (define @t1076 () (tptp.hAPP @t1 @t1 @t1075 @t1051)) % 36.26/36.50 (define @t1077 () (tptp.plus_plus tptp.int)) % 36.26/36.50 (define @t1078 () (tptp.hAPP tptp.int @t75 @t1077 @t978)) % 36.26/36.50 (define @t1079 () (tptp.hAPP tptp.int tptp.int @t1078 @t1049)) % 36.26/36.50 (define @t1080 () (tptp.hAPP tptp.int @t1 @t1050 @t1079)) % 36.26/36.50 (define @t1081 () (and @t77 (tptp.semiring @t3))) % 36.26/36.50 (define @t1082 () (tptp.hAPP @t1 @t1 @t1010 @t348)) % 36.26/36.50 (define @t1083 () (@var "Ry" $$unsorted)) % 36.26/36.50 (define @t1084 () (@var "Lx" $$unsorted)) % 36.26/36.50 (define @t1085 () (tptp.hAPP @t1 @t14 @t63 @t1084)) % 36.26/36.50 (define @t1086 () (@var "Rx" $$unsorted)) % 36.26/36.50 (define @t1087 () (tptp.hAPP @t1 @t14 @t63 @t1086)) % 36.26/36.50 (define @t1088 () (tptp.hAPP @t1 @t1 @t1087 @t1083)) % 36.26/36.50 (define @t1089 () (tptp.hAPP @t1 @t1 @t1085 @t1088)) % 36.26/36.50 (define @t1090 () (@list @t1084 @t1086 @t1083)) % 36.26/36.50 (define @t1091 () (tptp.hAPP @t1 @t14 @t63 (tptp.hAPP @t1 @t1 @t1085 @t1086))) % 36.26/36.50 (define @t1092 () (@var "Ly" $$unsorted)) % 36.26/36.50 (define @t1093 () (tptp.hAPP @t1 @t14 @t63 @t1092)) % 36.26/36.50 (define @t1094 () (tptp.hAPP @t1 @t14 @t63 (tptp.hAPP @t1 @t1 @t1085 @t1092))) % 36.26/36.50 (define @t1095 () (tptp.hAPP @t1 @t1 @t1094 @t1086)) % 36.26/36.50 (define @t1096 () (@list @t1084 @t1092 @t1086)) % 36.26/36.50 (define @t1097 () (tptp.hAPP @t1 @t1 @t1094 @t1088)) % 36.26/36.50 (define @t1098 () (@list @t1084 @t1092 @t1086 @t1083)) % 36.26/36.50 (define @t1099 () (tptp.hAPP @t1 @t1 @t1038 @t205)) % 36.26/36.50 (define @t1100 () (tptp.hAPP @t3 @t36 @t992 @t291)) % 36.26/36.50 (define @t1101 () (tptp.hAPP @t3 @t3 @t1100 @t302)) % 36.26/36.50 (define @t1102 () (tptp.hAPP @t3 @t3 @t993 @t302)) % 36.26/36.50 (define @t1103 () (tptp.hAPP @t1 @t1 @t990 @t183)) % 36.26/36.50 (define @t1104 () (tptp.hAPP @t1 @t14 @t56 @t1103)) % 36.26/36.50 (define @t1105 () (tptp.hAPP @t3 @t36 @t992 @t161)) % 36.26/36.50 (define @t1106 () (tptp.hAPP @t3 @t36 @t992 @t1046)) % 36.26/36.50 (define @t1107 () (@var "V_3" $$unsorted)) % 36.26/36.50 (define @t1108 () (tptp.hAPP tptp.int @t3 @t76 @t1107)) % 36.26/36.50 (define @t1109 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 @t995) @t867))) % 36.26/36.50 (define @t1110 () (tptp.ordere453448008miring @t1)) % 36.26/36.50 (define @t1111 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t889 @t995))) % 36.26/36.50 (define @t1112 () (tptp.ordered_ring @t1)) % 36.26/36.50 (define @t1113 () (tptp.hAPP @t1 @t1 @t1010 @t631)) % 36.26/36.50 (define @t1114 () (tptp.hAPP @t1 @t94 @t97 @t1012)) % 36.26/36.50 (define @t1115 () (=> @t897 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1114 @t1113)))) % 36.26/36.50 (define @t1116 () (tptp.ordered_semiring @t1)) % 36.26/36.50 (define @t1117 () (tptp.hAPP @t1 @t14 @t63 @t347)) % 36.26/36.50 (define @t1118 () (tptp.hAPP @t1 @t1 @t1117 @t351)) % 36.26/36.50 (define @t1119 () (tptp.hAPP @t1 @t1 @t1117 @t348)) % 36.26/36.50 (define @t1120 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 @t1119) @t1118))) % 36.26/36.50 (define @t1121 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t356 @t867))) % 36.26/36.50 (define @t1122 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1114 @t1011))) % 36.26/36.50 (define @t1123 () (forall @t355 (=> @t363 (=> @t897 @t1120)))) % 36.26/36.50 (define @t1124 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t886 @t291))) % 36.26/36.50 (define @t1125 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t848 @t70))) % 36.26/36.50 (define @t1126 () (tptp.linord581940658strict @t3)) % 36.26/36.50 (define @t1127 () (tptp.linordered_ring @t1)) % 36.26/36.50 (define @t1128 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t772 @t70))) % 36.26/36.50 (define @t1129 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t900 @t302))) % 36.26/36.50 (define @t1130 () (or (and @t1129 @t764) (and @t1128 @t847))) % 36.26/36.50 (define @t1131 () (tptp.hAPP @t3 @t36 @t992 @t302)) % 36.26/36.50 (define @t1132 () (tptp.hAPP @t3 @t3 @t1131 @t291)) % 36.26/36.50 (define @t1133 () (tptp.hAPP @t3 @t3 @t1131 @t138)) % 36.26/36.50 (define @t1134 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t1133) @t1132))) % 36.26/36.50 (define @t1135 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t903 @t995))) % 36.26/36.50 (define @t1136 () (tptp.linord20386208strict @t1)) % 36.26/36.50 (define @t1137 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t93 @t995) @t867))) % 36.26/36.50 (define @t1138 () (=> @t907 @t905)) % 36.26/36.50 (define @t1139 () (tptp.linord581940658strict @t1)) % 36.26/36.50 (define @t1140 () (tptp.hAPP @t1 @t94 @t93 @t1012)) % 36.26/36.50 (define @t1141 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1140 @t1011))) % 36.26/36.50 (define @t1142 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t903 @t347))) % 36.26/36.50 (define @t1143 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t93 @t1119) @t1118))) % 36.26/36.50 (define @t1144 () (forall @t355 (=> @t751 (=> @t1142 @t1143)))) % 36.26/36.50 (define @t1145 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t755 @t867))) % 36.26/36.50 (define @t1146 () (@var "R_3" $$unsorted)) % 36.26/36.50 (define @t1147 () (tptp.hAPP @t1 @t14 @t63 @t1146)) % 36.26/36.50 (define @t1148 () (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t60 (tptp.hAPP @t3 @t3 @t1105 @t161)) (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t992 @t338) @t338))) % 36.26/36.50 (define @t1149 () (@var "E" $$unsorted)) % 36.26/36.50 (define @t1150 () (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t60 (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t992 (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t450 @t291) @t138)) @t1149)) @t446)) % 36.26/36.50 (define @t1151 () (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t60 (tptp.hAPP @t3 @t3 @t1100 @t1149)) @t446)) % 36.26/36.50 (define @t1152 () (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t60 (tptp.hAPP @t3 @t3 @t993 @t1149)) @t302)) % 36.26/36.50 (define @t1153 () (= @t1152 @t1151)) % 36.26/36.50 (define @t1154 () (@list @t138 @t1149 @t302 @t291 @t446)) % 36.26/36.50 (define @t1155 () (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t60 (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t992 @t451) @t1149)) @t302)) % 36.26/36.50 (define @t1156 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t63 @t809) @t183)) % 36.26/36.50 (define @t1157 () (tptp.hAPP @t1 @t14 @t56 @t183)) % 36.26/36.50 (define @t1158 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t863 @t218))) % 36.26/36.50 (define @t1159 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t863 @t193))) % 36.26/36.50 (define @t1160 () (and @t1159 @t723)) % 36.26/36.50 (define @t1161 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t1006) @t1005))) % 36.26/36.50 (define @t1162 () (tptp.hAPP tptp.nat tptp.nat @t1000 @t182)) % 36.26/36.50 (define @t1163 () (=> @t1142 @t363)) % 36.26/36.50 (define @t1164 () (=> @t897 @t751)) % 36.26/36.50 (define @t1165 () (forall @t355 (=> @t1143 @t1164))) % 36.26/36.50 (define @t1166 () (tptp.linordered_semiring @t1)) % 36.26/36.50 (define @t1167 () (forall @t635 (=> @t1141 @t1164))) % 36.26/36.50 (define @t1168 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1140 @t1113))) % 36.26/36.50 (define @t1169 () (=> @t897 @t1168)) % 36.26/36.50 (define @t1170 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t1133) @t1132))) % 36.26/36.50 (define @t1171 () (tptp.hAPP @t1 @t14 @t63 @t205)) % 36.26/36.50 (define @t1172 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t56 @t1039) (tptp.hAPP @t1 @t1 @t1171 @t205))) % 36.26/36.50 (define @t1173 () (tptp.hAPP @t1 @t1 @t1171 @t206)) % 36.26/36.50 (define @t1174 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t334 @t808))) % 34.17/36.50 (define @t1175 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t889 @t205))) % 34.17/36.50 (define @t1176 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t889 @t206))) % 34.17/36.50 (define @t1177 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t1152) @t1151))) % 34.17/36.50 (define @t1178 () (tptp.ordered_ring @t3)) % 34.17/36.50 (define @t1179 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t1152) @t1151))) % 34.17/36.50 (define @t1180 () (tptp.hAPP tptp.nat @t149 @t713 @t915)) % 34.17/36.50 (define @t1181 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1180 @t183))) % 34.17/36.50 (define @t1182 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1180 @t182))) % 34.17/36.50 (define @t1183 () (tptp.hAPP tptp.nat tptp.nat @t1022 @t183)) % 34.17/36.50 (define @t1184 () (tptp.hAPP tptp.nat @t149 @t148 @t915)) % 34.17/36.50 (define @t1185 () (=> @t1159 @t238)) % 34.17/36.50 (define @t1186 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t1006) @t1005))) % 34.17/36.50 (define @t1187 () (tptp.times_times @t2)) % 34.17/36.50 (define @t1188 () (tptp.fun @t28 @t2)) % 34.17/36.50 (define @t1189 () (tptp.fun @t2 @t1188)) % 34.17/36.50 (define @t1190 () (tptp.hAPP @t52 (tptp.fun @t8 @t1189) (tptp.finite_fold_image @t2 @t3) @t1187)) % 34.17/36.50 (define @t1191 () (tptp.hAPP @t8 @t1189 @t1190 @t388)) % 34.17/36.50 (define @t1192 () (tptp.hAPP @t2 @t1188 @t1191 @t405)) % 34.17/36.50 (define @t1193 () (tptp.hAPP @t28 @t2 @t1192 @t129)) % 34.17/36.50 (define @t1194 () (tptp.ab_semigroup_mult @t2)) % 34.17/36.50 (define @t1195 () (tptp.one_one @t2)) % 34.17/36.50 (define @t1196 () (tptp.hAPP @t8 @t1189 @t1190 @t135)) % 34.17/36.50 (define @t1197 () (tptp.comm_monoid_mult @t2)) % 34.17/36.50 (define @t1198 () (@var "Z_3" $$unsorted)) % 34.17/36.50 (define @t1199 () (tptp.hAPP @t1 @t94 @t93 @t1198)) % 34.17/36.50 (define @t1200 () (@list @t1198)) % 34.17/36.50 (define @t1201 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t287 @t861))) % 34.17/36.50 (define @t1202 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t861))) % 34.17/36.50 (define @t1203 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t999 @t683) @t549)) @t200)) % 34.17/36.50 (define @t1204 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t999 @t674) @t549)) @t200)) % 34.17/36.50 (define @t1205 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t999 @t321) @t549)) @t232)) % 34.17/36.50 (define @t1206 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t1205) @t1204))) % 34.17/36.50 (define @t1207 () (@list @t549 @t232 @t200 @t321 @t674)) % 34.17/36.50 (define @t1208 () (@var "L" $$unsorted)) % 34.17/36.50 (define @t1209 () (tptp.hAPP tptp.int @t89 @t1041 @t193)) % 34.17/36.50 (define @t1210 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1209 @t1208))) % 34.17/36.50 (define @t1211 () (tptp.number_number_of tptp.int)) % 34.17/36.50 (define @t1212 () (tptp.hAPP tptp.int tptp.int @t1211 @t1208)) % 34.17/36.50 (define @t1213 () (tptp.hAPP tptp.int tptp.int @t1211 @t193)) % 34.17/36.50 (define @t1214 () (@list @t193 @t1208)) % 34.17/36.50 (define @t1215 () (tptp.one_one tptp.int)) % 34.17/36.50 (define @t1216 () (@list @t371)) % 34.17/36.50 (define @t1217 () (tptp.hAPP tptp.int @t75 @t1055 @t371)) % 34.17/36.50 (define @t1218 () (tptp.hAPP tptp.int @t75 @t1055 @t1049)) % 34.17/36.50 (define @t1219 () (@list @t371 @t1049)) % 34.17/36.50 (define @t1220 () (tptp.hAPP tptp.int tptp.int @t1211 @t1049)) % 34.17/36.50 (define @t1221 () (tptp.hAPP tptp.int tptp.int @t1211 @t978)) % 34.17/36.50 (define @t1222 () (@var "Z3" $$unsorted)) % 34.17/36.50 (define @t1223 () (@var "Z2" $$unsorted)) % 34.17/36.50 (define @t1224 () (tptp.hAPP tptp.int @t75 @t1055 @t1223)) % 34.17/36.50 (define @t1225 () (@var "Z1" $$unsorted)) % 34.17/36.50 (define @t1226 () (tptp.hAPP tptp.int @t75 @t1055 @t1225)) % 34.17/36.50 (define @t1227 () (@list @t1225 @t1223 @t1222)) % 34.17/36.50 (define @t1228 () (tptp.hAPP tptp.int @t89 @t1063 @t193)) % 34.17/36.50 (define @t1229 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1228 @t1208))) % 34.17/36.50 (define @t1230 () (tptp.hAPP tptp.int tptp.int @t1224 @t1049)) % 34.17/36.50 (define @t1231 () (tptp.hAPP tptp.int tptp.int @t1226 @t1049)) % 34.17/36.50 (define @t1232 () (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1064 @t1225) @t1223)) % 34.17/36.50 (define @t1233 () (@list @t1225 @t1223 @t1049)) % 34.17/36.50 (define @t1234 () (tptp.hAPP tptp.int tptp.int @t1218 @t1223)) % 34.17/36.50 (define @t1235 () (tptp.hAPP tptp.int tptp.int @t1218 @t1225)) % 34.17/36.50 (define @t1236 () (@list @t1049 @t1225 @t1223)) % 34.17/36.50 (define @t1237 () (tptp.hAPP tptp.int @t75 @t1077 @t1225)) % 34.17/36.50 (define @t1238 () (tptp.hAPP tptp.int tptp.int @t1237 @t1223)) % 34.17/36.50 (define @t1239 () (tptp.hAPP tptp.int @t75 @t1055 @t218)) % 34.17/36.50 (define @t1240 () (tptp.zero_zero tptp.int)) % 34.17/36.50 (define @t1241 () (tptp.hAPP tptp.int @t89 @t1041 @t1240)) % 34.17/36.50 (define @t1242 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1241 @t218))) % 34.17/36.50 (define @t1243 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t219) @t221))) % 34.17/36.50 (define @t1244 () (tptp.hAPP tptp.int @t75 @t1077 @t1215)) % 34.17/36.50 (define @t1245 () (tptp.hAPP tptp.int tptp.int @t1244 @t371)) % 34.17/36.50 (define @t1246 () (tptp.hAPP tptp.int @t75 @t1077 @t371)) % 34.17/36.50 (define @t1247 () (tptp.hAPP tptp.int @t89 @t1063 @t1215)) % 34.17/36.50 (define @t1248 () (@list @t405)) % 34.17/36.50 (define @t1249 () (tptp.hAPP tptp.int @t75 @t1064 @t193)) % 34.17/36.50 (define @t1250 () (tptp.hAPP tptp.int @t89 @t1063 @t1240)) % 34.17/36.50 (define @t1251 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t371))) % 34.17/36.50 (define @t1252 () (tptp.hAPP tptp.int @t89 @t1041 @t405)) % 34.17/36.50 (define @t1253 () (tptp.hAPP tptp.int @t75 @t1077 @t218)) % 34.17/36.50 (define @t1254 () (tptp.hAPP tptp.int @t89 @t1063 @t219)) % 34.17/36.50 (define @t1255 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1254 @t221))) % 34.17/36.50 (define @t1256 () (tptp.hAPP tptp.int @t75 @t1077 @t206)) % 34.17/36.50 (define @t1257 () (tptp.hAPP tptp.int @t75 @t1077 @t205)) % 34.17/36.50 (define @t1258 () (tptp.hAPP tptp.int @t75 @t1077 @t1049)) % 34.17/36.50 (define @t1259 () (tptp.hAPP tptp.int tptp.int @t1258 @t371)) % 34.17/36.50 (define @t1260 () (tptp.hAPP tptp.int @t89 @t1063 @t1049)) % 34.17/36.50 (define @t1261 () (@list @t1049)) % 34.17/36.50 (define @t1262 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1260 @t371))) % 34.17/36.50 (define @t1263 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 @t371) @t1049))) % 34.17/36.50 (define @t1264 () (tptp.hAPP tptp.int @t89 @t1041 @t1046)) % 34.17/36.50 (define @t1265 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1264 @t405))) % 34.17/36.50 (define @t1266 () (tptp.hAPP tptp.int @t89 @t1063 @t1046)) % 34.17/36.50 (define @t1267 () (@list @t1046 @t405)) % 34.17/36.50 (define @t1268 () (@var "Z_4" $$unsorted)) % 34.17/36.50 (define @t1269 () (@var "W_2" $$unsorted)) % 34.17/36.50 (define @t1270 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1266 @t405))) % 34.17/36.50 (define @t1271 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1264 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t405) @t1215)))) % 34.17/36.50 (define @t1272 () (tptp.hAPP tptp.int @t75 @t1077 @t1046)) % 34.17/36.50 (define @t1273 () (tptp.hAPP tptp.nat @t80 @t577 (tptp.hAPP tptp.nat tptp.nat @t1028 @t982))) % 34.17/36.50 (define @t1274 () (tptp.hAPP tptp.nat @t80 @t577 (tptp.hAPP tptp.nat tptp.nat @t1029 @t982))) % 34.17/36.50 (define @t1275 () (@list @t232 @t200 @t193)) % 34.17/36.50 (define @t1276 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t999 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t321) @t674)) @t549)) @t232)) % 34.17/36.50 (define @t1277 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t1205) @t1204))) % 34.17/36.50 (define @t1278 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t675 @t321))) % 34.17/36.50 (define @t1279 () (@list @t549 @t232 @t200 @t674 @t321)) % 34.17/36.50 (define @t1280 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 (tptp.hAPP tptp.nat tptp.nat @t1274 @t183)) (tptp.hAPP tptp.nat tptp.nat @t1273 @t182))) % 34.17/36.50 (define @t1281 () (= @t1205 @t1204)) % 34.17/36.50 (define @t1282 () (@var "Q_2" $$unsorted)) % 34.17/36.50 (define @t1283 () (@var "Q_1" $$unsorted)) % 34.17/36.50 (define @t1284 () (tptp.hAPP tptp.int @t89 @t1063 @t1283)) % 34.17/36.50 (define @t1285 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1284 @t1282))) % 34.17/36.50 (define @t1286 () (@var "B_2" $$unsorted)) % 34.17/36.50 (define @t1287 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 @t1286) @t351))) % 34.17/36.50 (define @t1288 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1241 @t1286))) % 34.17/36.50 (define @t1289 () (@var "R_2" $$unsorted)) % 34.17/36.50 (define @t1290 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t1289))) % 34.17/36.50 (define @t1291 () (tptp.hAPP tptp.int @t89 @t1041 @t1146)) % 34.17/36.50 (define @t1292 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1291 @t351))) % 34.17/36.50 (define @t1293 () (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1055 @t1286) @t1283)) @t1289)) % 34.17/36.50 (define @t1294 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t1293) @t1240))) % 34.17/36.50 (define @t1295 () (tptp.hAPP tptp.int @t75 @t1055 @t351)) % 34.17/36.50 (define @t1296 () (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 (tptp.hAPP tptp.int tptp.int @t1295 @t1282)) @t1146)) % 34.17/36.50 (define @t1297 () (= @t1296 @t1293)) % 34.17/36.50 (define @t1298 () (@list @t351 @t1282 @t1146 @t1286 @t1283 @t1289)) % 34.17/36.50 (define @t1299 () (tptp.hAPP tptp.int @t89 @t1063 @t1282)) % 34.17/36.50 (define @t1300 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1299 @t1283))) % 34.17/36.50 (define @t1301 () (tptp.hAPP tptp.int @t89 @t1041 @t351)) % 34.17/36.50 (define @t1302 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 (tptp.hAPP tptp.int tptp.int @t1295 @t1283)) @t1289)) @t1296))) % 34.17/36.50 (define @t1303 () (@list @t351 @t1283 @t1289 @t1282 @t1146)) % 34.17/36.50 (define @t1304 () (@list @t218)) % 34.17/36.50 (define @t1305 () (= @t348 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t1146) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1055 @t348) @t1282)))) % 34.17/36.50 (define @t1306 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1241 @t348))) % 34.17/36.50 (define @t1307 () (@list @t1146 @t1282 @t348)) % 34.17/36.50 (define @t1308 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t1146))) % 34.17/36.50 (define @t1309 () (tptp.hAPP tptp.int @t89 @t1041 @t1289)) % 34.17/36.50 (define @t1310 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1309 @t1286))) % 34.17/36.50 (define @t1311 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t1293))) % 34.17/36.50 (define @t1312 () (@list @t1286 @t1283 @t1289)) % 34.17/36.50 (define @t1313 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t171 @t321))) % 34.17/36.50 (define @t1314 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t171 @t802))) % 34.17/36.50 (define @t1315 () (=> @t1314 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t171 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1064 @t802) @t1215))))) % 34.17/36.50 (define @t1316 () (@list @t171 @t321 @t193)) % 34.17/36.50 (define @t1317 () (=> (forall @t805 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 @t802) @t193)) @t1315)) @t1313)) % 34.17/36.50 (define @t1318 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t171 @t193))) % 34.17/36.50 (define @t1319 () (tptp.hAPP @t3 @t2 @t135 @t282)) % 34.17/36.50 (define @t1320 () (=> @t1314 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t171 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t802) @t1215))))) % 34.17/36.50 (define @t1321 () (@list @t171 @t193 @t321)) % 34.17/36.50 (define @t1322 () (forall @t805 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1228 @t802)) @t1320))) % 34.17/36.50 (define @t1323 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t205))) % 34.17/36.50 (define @t1324 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t206))) % 34.17/36.50 (define @t1325 () (@var "P_1" $$unsorted)) % 34.17/36.50 (define @t1326 () (tptp.fun tptp.int @t110)) % 34.17/36.50 (define @t1327 () (tptp.hAPP @t1326 (tptp.fun @t89 @t89) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP @t89 @t1326 (tptp.hAPP @t111 (tptp.fun @t89 @t1326) (tptp.combb tptp.bool @t110 tptp.int) tptp.fconj) @t1250))) % 34.17/36.50 (define @t1328 () (tptp.collect tptp.int)) % 34.17/36.50 (define @t1329 () (tptp.hAPP @t89 @t89 @t1328 (tptp.hAPP @t89 @t89 @t1327 @t171))) % 34.17/36.50 (define @t1330 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1325 @t282))) % 34.17/36.50 (define @t1331 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t171 @t282))) % 34.17/36.50 (define @t1332 () (= @t1331 @t1330)) % 34.17/36.50 (define @t1333 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t282))) % 34.17/36.50 (define @t1334 () (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1055 @t193) @t446)) % 34.17/36.50 (define @t1335 () (tptp.hAPP tptp.int @t75 @t1064 @t282)) % 34.17/36.50 (define @t1336 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t193))) % 34.17/36.50 (define @t1337 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1241 @t446))) % 34.17/36.50 (define @t1338 () (@list @t193 @t171 @t446)) % 34.17/36.50 (define @t1339 () (tptp.hBOOL @t1325)) % 34.17/36.50 (define @t1340 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t161))) % 34.17/36.50 (define @t1341 () (=> @t1340 (= @t702 @t1339))) % 34.17/36.50 (define @t1342 () (@list @t1325 @t171 @t161)) % 34.17/36.50 (define @t1343 () (tptp.hAPP tptp.int @t75 @t1077 @t282)) % 34.17/36.50 (define @t1344 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 @t729) @t282))) % 34.17/36.50 (define @t1345 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t840 @t1198))) % 34.17/36.50 (define @t1346 () (@list @t729)) % 34.17/36.50 (define @t1347 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t839 @t729))) % 34.17/36.50 (define @t1348 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1199 @t282))) % 34.17/36.50 (define @t1349 () (@var "X1" $$unsorted)) % 34.17/36.50 (define @t1350 () (@list @t1349)) % 34.17/36.50 (define @t1351 () (exists @t1350 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t171 @t1349)))) % 34.17/36.50 (define @t1352 () (@var "P1" $$unsorted)) % 34.17/36.50 (define @t1353 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1352 @t282))) % 34.17/36.50 (define @t1354 () (tptp.hAPP tptp.int tptp.int @t1335 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1055 @t646) @t446))) % 34.17/36.50 (define @t1355 () (@list @t282 @t646)) % 34.17/36.50 (define @t1356 () (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 tptp.nat_tsub @t206) @t205)) % 34.17/36.50 (define @t1357 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 @t205) @t206))) % 34.17/36.50 (define @t1358 () (tptp.hAPP tptp.int @t75 @t1064 @t206)) % 34.17/36.50 (define @t1359 () (=> @t1357 (= @t1356 (tptp.hAPP tptp.int tptp.int @t1358 @t205)))) % 34.17/36.50 (define @t1360 () (tptp.hAPP tptp.nat @t1 @t84 @t980)) % 34.17/36.50 (define @t1361 () (= @t1360 @t867)) % 34.17/36.50 (define @t1362 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t1221))) % 34.17/36.50 (define @t1363 () (= @t1360 @t1052)) % 34.17/36.50 (define @t1364 () (tptp.hAPP tptp.nat @t1 @t84 @t182)) % 34.17/36.50 (define @t1365 () (tptp.semiring_1_of_nat tptp.int)) % 34.17/36.50 (define @t1366 () (tptp.hAPP tptp.nat tptp.int @t1365 @t182)) % 34.17/36.50 (define @t1367 () (tptp.number_semiring @t1)) % 34.17/36.50 (define @t1368 () (tptp.hAPP tptp.nat tptp.int @t1365 @t218)) % 34.17/36.50 (define @t1369 () (tptp.hAPP tptp.nat @t1 @t84 @t183)) % 34.17/36.50 (define @t1370 () (tptp.hAPP @t1 @t94 @t93 @t1369)) % 34.17/36.50 (define @t1371 () (tptp.hAPP tptp.nat tptp.int @t1365 @t565)) % 34.17/36.50 (define @t1372 () (tptp.hAPP tptp.nat tptp.int @t1365 @t860)) % 34.17/36.50 (define @t1373 () (tptp.hAPP tptp.nat tptp.int @t1365 @t200)) % 34.17/36.50 (define @t1374 () (tptp.semiring_1_of_nat @t3)) % 34.17/36.50 (define @t1375 () (tptp.hAPP tptp.nat @t3 @t1374 @t200)) % 34.17/36.50 (define @t1376 () (tptp.hAPP tptp.nat @t3 @t1374 @t232)) % 34.17/36.50 (define @t1377 () (tptp.linordered_semidom @t3)) % 34.17/36.50 (define @t1378 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1370 @t1364))) % 34.17/36.50 (define @t1379 () (tptp.hAPP tptp.nat tptp.int @t1365 @t232)) % 34.17/36.50 (define @t1380 () (tptp.hAPP tptp.nat tptp.int @t1365 @t608)) % 34.17/36.50 (define @t1381 () (tptp.hAPP tptp.nat tptp.int @t1365 @t183)) % 34.17/36.50 (define @t1382 () (tptp.hAPP tptp.int @t75 @t1077 @t1381)) % 34.17/36.50 (define @t1383 () (tptp.hAPP tptp.nat tptp.int @t1365 @t275)) % 34.17/36.50 (define @t1384 () (tptp.hAPP tptp.nat tptp.int @t1365 @t1162)) % 34.17/36.50 (define @t1385 () (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1055 @t1381) @t1366)) % 34.17/36.50 (define @t1386 () (tptp.hAPP tptp.nat tptp.int @t1365 @t205)) % 34.17/36.50 (define @t1387 () (tptp.hAPP tptp.nat tptp.int @t1365 @t206)) % 34.17/36.50 (define @t1388 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t161) @t338))) % 34.17/36.50 (define @t1389 () (tptp.hAPP tptp.nat tptp.int @t1365 @t338)) % 34.17/36.50 (define @t1390 () (tptp.hAPP tptp.nat tptp.int @t1365 @t161)) % 34.17/36.50 (define @t1391 () (tptp.fun tptp.nat tptp.int)) % 34.17/36.50 (define @t1392 () (tptp.hAPP @t1391 (tptp.fun @t149 @t89) (tptp.image tptp.nat tptp.int) @t1365)) % 34.17/36.50 (define @t1393 () (tptp.hAPP @t149 @t89 @t1392 @t129)) % 34.17/36.50 (define @t1394 () (@list @t171)) % 34.17/36.50 (define @t1395 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t171 (tptp.hAPP tptp.nat tptp.int @t1365 @t282)))) % 34.17/36.50 (define @t1396 () (tptp.hAPP tptp.int @t75 @t1055 @t1368)) % 34.17/36.50 (define @t1397 () (= @t218 @t1383)) % 34.17/36.50 (define @t1398 () (tptp.hAPP @t149 @t89 @t1392 @t151)) % 34.17/36.50 (define @t1399 () (tptp.fun @t89 tptp.bool)) % 34.17/36.50 (define @t1400 () (@list @t129 @t151)) % 34.17/36.50 (define @t1401 () (tptp.hAPP tptp.nat tptp.int @t1365 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 (tptp.hAPP tptp.bool @t973 (tptp.if tptp.nat) @t171) @t161) @t338))) % 34.17/36.50 (define @t1402 () (@var "Inc" $$unsorted)) % 34.17/36.50 (define @t1403 () (tptp.hAPP @t36 @t87 @t86 @t1402)) % 34.17/36.50 (define @t1404 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t218))) % 34.17/36.50 (define @t1405 () (tptp.hAPP tptp.nat tptp.int @t1365 @t327)) % 34.17/36.50 (define @t1406 () (tptp.hAPP @t37 @t35 @t31 @t992)) % 34.17/36.50 (define @t1407 () (@var "Y2" $$unsorted)) % 34.17/36.50 (define @t1408 () (@var "X2" $$unsorted)) % 34.17/36.50 (define @t1409 () (@var "Y1" $$unsorted)) % 34.17/36.50 (define @t1410 () (@var "T_3" $$unsorted)) % 34.17/36.50 (define @t1411 () (tptp.times_times @t413)) % 34.17/36.50 (define @t1412 () (tptp.fun @t21 @t413)) % 34.17/36.50 (define @t1413 () (tptp.fun @t413 @t1412)) % 34.17/36.50 (define @t1414 () (tptp.fun @t2 @t413)) % 34.17/36.50 (define @t1415 () (tptp.fun @t413 (tptp.fun @t413 @t413))) % 34.17/36.50 (define @t1416 () (tptp.fun @t28 @t413)) % 34.17/36.50 (define @t1417 () (tptp.fun @t413 @t1416)) % 34.17/36.50 (define @t1418 () (tptp.fun @t3 @t413)) % 34.17/36.50 (define @t1419 () (tptp.hAPP @t2 @t3 @t193 @t572)) % 34.17/36.50 (define @t1420 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg @t1221))) % 34.17/36.50 (define @t1421 () (not @t1420)) % 34.17/36.50 (define @t1422 () (tptp.abs_abs tptp.int)) % 34.17/36.50 (define @t1423 () (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1055 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 (tptp.hAPP tptp.int tptp.int @t1422 (tptp.hAPP tptp.int tptp.int @t1358 @t371))) @t1215)) @t631)) % 34.17/36.50 (define @t1424 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1241 @t631))) % 34.17/36.50 (define @t1425 () (tptp.hAPP @t1 @t1 @t49 @t351)) % 34.17/36.50 (define @t1426 () (tptp.hAPP @t1 @t1 @t49 @t348)) % 34.17/36.50 (define @t1427 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t56 @t1426) @t1425)) % 34.17/36.50 (define @t1428 () (tptp.hAPP @t1 @t1 @t49 @t639)) % 34.17/36.50 (define @t1429 () (tptp.hAPP @t1 @t14 @t637 @t351)) % 34.17/36.50 (define @t1430 () (@var "Z_1" $$unsorted)) % 34.17/36.50 (define @t1431 () (= @t1426 @t359)) % 34.17/36.50 (define @t1432 () (tptp.hAPP @t3 @t3 (tptp.abs_abs @t3) @t138)) % 34.17/36.50 (define @t1433 () (tptp.ordere142940540dd_abs @t3)) % 34.17/36.50 (define @t1434 () (tptp.hAPP @t1 @t94 @t93 @t1426)) % 34.17/36.50 (define @t1435 () (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t637 @t1426) @t1425)) % 34.17/36.50 (define @t1436 () (tptp.hAPP @t1 @t94 @t97 @t1435)) % 34.17/36.50 (define @t1437 () (tptp.hAPP @t1 @t1 @t49 (tptp.hAPP @t1 @t1 @t1429 @t348))) % 34.17/36.50 (define @t1438 () (tptp.hAPP @t1 @t14 @t63 @t1426)) % 34.17/36.50 (define @t1439 () (tptp.hAPP @t1 @t1 @t1438 @t1425)) % 34.17/36.50 (define @t1440 () (= (tptp.hAPP @t1 @t1 @t49 @t995) @t1439)) % 34.17/36.50 (define @t1441 () (@var "V_2" $$unsorted)) % 34.17/36.50 (define @t1442 () (tptp.hAPP tptp.int tptp.int @t1211 @t1441)) % 34.17/36.50 (define @t1443 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg @t1442))) % 34.17/36.50 (define @t1444 () (tptp.hAPP tptp.int tptp.int @t1211 @t1107)) % 34.17/36.50 (define @t1445 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg @t1444))) % 34.17/36.50 (define @t1446 () (@var "V_1" $$unsorted)) % 34.17/36.50 (define @t1447 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 (tptp.hAPP tptp.int tptp.nat @t979 @t1446)) @t218)) % 34.17/36.50 (define @t1448 () (tptp.hAPP tptp.nat @t80 @t577 @t980)) % 34.17/36.50 (define @t1449 () (tptp.hAPP tptp.nat tptp.nat @t1448 @t1447)) % 34.17/36.50 (define @t1450 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int @t1211 @t1446)))) % 34.17/36.50 (define @t1451 () (tptp.hAPP tptp.nat tptp.int @t1365 @t980)) % 34.17/36.50 (define @t1452 () (tptp.hAPP tptp.nat tptp.int @t145 @t802)) % 34.17/36.50 (define @t1453 () (= @t1452 @t193)) % 34.17/36.50 (define @t1454 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t948 @t200))) % 34.17/36.50 (define @t1455 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1228 (tptp.hAPP tptp.nat tptp.int @t145 @t200)))) % 34.17/36.50 (define @t1456 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 (tptp.hAPP tptp.int tptp.int @t1422 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1064 (tptp.hAPP tptp.nat tptp.int @t145 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 @t802) @t565))) @t1452))) @t1215))) % 34.17/36.50 (define @t1457 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t804 @t200))) % 34.17/36.50 (define @t1458 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t237 @t802))) % 34.17/36.50 (define @t1459 () (tptp.hAPP tptp.int tptp.nat @t979 (tptp.hAPP tptp.int tptp.int tptp.succ @t978))) % 34.17/36.50 (define @t1460 () (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t1448 @t182))) % 34.17/36.50 (define @t1461 () (tptp.hAPP tptp.int tptp.int tptp.succ @t218)) % 34.17/36.50 (define @t1462 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t980)) % 34.17/36.50 (define @t1463 () (tptp.hAPP tptp.int tptp.nat @t979 @t1049)) % 34.17/36.50 (define @t1464 () (tptp.hAPP tptp.int tptp.int tptp.bit1 @t1049)) % 34.17/36.50 (define @t1465 () (tptp.hAPP tptp.int tptp.nat @t979 @t1464)) % 34.17/36.50 (define @t1466 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg @t1220))) % 34.17/36.50 (define @t1467 () (tptp.hAPP tptp.nat tptp.nat @t578 @t980)) % 34.17/36.50 (define @t1468 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t978) tptp.pls))) % 34.17/36.50 (define @t1469 () (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) % 34.17/36.50 (define @t1470 () (tptp.hAPP tptp.int tptp.int @t1211 tptp.pls)) % 34.17/36.50 (define @t1471 () (tptp.hAPP tptp.int tptp.int tptp.bit1 @t1469)) % 34.17/36.50 (define @t1472 () (tptp.hAPP tptp.int tptp.nat @t979 @t1471)) % 34.17/36.50 (define @t1473 () (tptp.hAPP tptp.int tptp.int @t1211 @t1471)) % 34.17/36.50 (define @t1474 () (tptp.hAPP @t1 @t1 @t923 @t1051)) % 34.17/36.50 (define @t1475 () (tptp.hAPP tptp.int tptp.nat @t979 @t1469)) % 34.17/36.50 (define @t1476 () (tptp.hAPP tptp.int @t1 @t1050 @t1469)) % 34.17/36.50 (define @t1477 () (= @t1476 @t808)) % 34.17/36.50 (define @t1478 () (tptp.hAPP tptp.int tptp.int tptp.bit1 @t218)) % 34.17/36.50 (define @t1479 () (tptp.hAPP tptp.int @t1 @t1050 tptp.pls)) % 34.17/36.50 (define @t1480 () (= @t1479 @t867)) % 34.17/36.50 (define @t1481 () (tptp.hAPP tptp.int tptp.nat @t979 tptp.pls)) % 34.17/36.50 (define @t1482 () (tptp.hAPP tptp.int tptp.int tptp.bit1 @t1208)) % 34.17/36.50 (define @t1483 () (tptp.hAPP tptp.int tptp.int tptp.bit1 @t193)) % 34.17/36.50 (define @t1484 () (tptp.hAPP tptp.int @t89 @t1063 tptp.pls)) % 34.17/36.50 (define @t1485 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1484 @t193))) % 34.17/36.50 (define @t1486 () (tptp.hAPP tptp.int @t89 @t1063 @t1483)) % 34.17/36.50 (define @t1487 () (@var "K2" $$unsorted)) % 34.17/36.50 (define @t1488 () (@var "K1" $$unsorted)) % 34.17/36.50 (define @t1489 () (tptp.hAPP tptp.int tptp.int tptp.bit1 @t1487)) % 34.17/36.50 (define @t1490 () (tptp.hAPP tptp.int tptp.int tptp.bit1 @t1488)) % 34.17/36.50 (define @t1491 () (@list @t1488 @t1487)) % 34.17/36.50 (define @t1492 () (tptp.hAPP tptp.int @t89 @t1041 tptp.pls)) % 34.17/36.50 (define @t1493 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1209 tptp.pls))) % 34.17/36.50 (define @t1494 () (tptp.hAPP tptp.int @t89 @t1041 @t1483)) % 34.17/36.50 (define @t1495 () (@var "T_1" $$unsorted)) % 34.17/36.50 (define @t1496 () (@var "T_2" $$unsorted)) % 34.17/36.50 (define @t1497 () (tptp.fun @t1496 @t1495)) % 34.17/36.50 (define @t1498 () (@list @t1496 @t1495)) % 34.17/36.50 (define @t1499 () (and (tptp.finite_finite_1 @t1495) (tptp.finite_finite_1 @t1496))) % 34.17/36.50 (define @t1500 () (@var "A" $$unsorted)) % 34.17/36.50 (define @t1501 () (@var "T" $$unsorted)) % 34.17/36.50 (define @t1502 () (tptp.ti @t1501 @t1500)) % 34.17/36.50 (define @t1503 () (@list @t1 @t206 @t205)) % 34.17/36.50 (define @t1504 () (@var "P" $$unsorted)) % 34.17/36.50 (define @t1505 () (tptp.ti tptp.bool @t1504)) % 34.17/36.50 (define @t1506 () (@list @t1504)) % 34.17/36.50 (define @t1507 () (tptp.hBOOL @t1504)) % 34.17/36.50 (define @t1508 () (not @t1507)) % 34.17/36.50 (define @t1509 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool tptp.fNot @t1504))) % 34.17/36.50 (define @t1510 () (@var "R" $$unsorted)) % 34.17/36.50 (define @t1511 () (@var "Q" $$unsorted)) % 34.17/36.50 (define @t1512 () (tptp.hAPP @t1 @t3 @t1511 @t1510)) % 34.17/36.50 (define @t1513 () (@list @t1 @t2 @t3 @t1504 @t1511 @t1510)) % 34.17/36.50 (define @t1514 () (tptp.hAPP @t1 @t8 @t1504 @t1510)) % 34.17/36.50 (define @t1515 () (tptp.ti @t1 @t1504)) % 34.17/36.50 (define @t1516 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t110 tptp.fconj @t1504) @t1511))) % 34.17/36.50 (define @t1517 () (tptp.hBOOL @t1511)) % 34.17/36.50 (define @t1518 () (not @t1517)) % 34.17/36.50 (define @t1519 () (@list @t1511 @t1504)) % 34.17/36.50 (define @t1520 () (not @t1516)) % 34.17/36.50 (define @t1521 () (@list @t1504 @t1511)) % 34.17/36.50 (define @t1522 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t110 tptp.fdisj @t1504) @t1511))) % 34.17/36.50 (define @t1523 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t112 @t206) @t205))) % 34.17/36.50 (define @t1524 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t110 tptp.fimplies @t1504) @t1511))) % 34.17/36.50 (define @t1525 () (tptp.hAPP @t123 @t121 (tptp.hAPP @t124 (tptp.fun @t123 @t121) (tptp.image tptp.pname tptp.x_a) tptp.mgt_call) tptp.u)) % 34.17/36.50 (define @t1526 () (tptp.hBOOL (tptp.hAPP @t121 tptp.bool (tptp.hAPP @t121 @t122 @t128 tptp.g) @t1525))) % 34.17/36.50 (define @t1527 () (tptp.finite_card tptp.x_a)) % 34.17/36.50 (define @t1528 () (tptp.hAPP @t121 tptp.nat @t1527 @t1525)) % 34.17/36.50 (define @t1529 () (tptp.hAPP tptp.nat tptp.nat tptp.suc tptp.na)) % 34.17/36.50 (define @t1530 () (tptp.hBOOL (tptp.hAPP @t123 tptp.bool (tptp.hAPP tptp.pname @t445 @t444 tptp.pn) tptp.u))) % 34.17/36.50 (define @t1531 () (tptp.hAPP tptp.pname tptp.x_a tptp.mgt_call tptp.pn)) % 34.17/36.50 (define @t1532 () (tptp.hAPP tptp.x_a @t122 (tptp.member tptp.x_a) @t1531)) % 34.17/36.50 (define @t1533 () (tptp.hBOOL (tptp.hAPP @t121 tptp.bool (tptp.hAPP @t121 @t122 @t128 (tptp.hAPP @t121 @t121 (tptp.hAPP tptp.x_a @t443 @t442 @t1531) tptp.g)) @t1525))) % 34.17/36.50 (define @t1534 () (not @t298)) % 34.17/36.50 (define @t1535 () (or @t1534 @t569 @t293)) % 34.17/36.50 (define @t1536 () (tptp.hBOOL (tptp.hAPP @t121 tptp.bool @t1532 @t1525))) % 34.17/36.50 (define @t1537 () (and @t1536 @t1526)) % 34.17/36.50 (define @t1538 () (= @t1533 @t1537)) % 34.17/36.50 (define @t1539 () (not @t1537)) % 34.17/36.50 (define @t1540 () (@list true false)) % 34.17/36.50 (define @t1541 () (not @t1536)) % 34.17/36.50 (define @t1542 () (not @t1530)) % 34.17/36.50 (define @t1543 () (tptp.ti tptp.x_a @t1531)) % 34.17/36.50 (define @t1544 () (= @t1531 @t1543)) % 34.17/36.50 (define @t1545 () (not @t1544)) % 34.17/36.50 (define @t1546 () (or @t1545 @t1542 @t1536)) % 34.17/36.50 (define @t1547 () (not @t1546)) % 34.17/36.50 (define @t1548 () (not (= @t1543 @t1531))) % 34.17/36.50 (define @t1549 () (or @t1548 @t1542 @t1536)) % 34.17/36.50 (define @t1550 () (forall @t299 @t1535)) % 34.17/36.50 (assume @p1 (forall (@list @t3 @t2 @t1) (= (tptp.ti (tptp.fun @t8 @t7) @t4) @t4))) % 34.17/36.50 (assume @p2 (forall @t12 (= (tptp.ti (tptp.fun @t11 @t10) @t9) @t9))) % 34.17/36.50 (assume @p3 (forall @t15 (= (tptp.ti @t14 @t13) @t13))) % 34.17/36.50 (assume @p4 (forall (@list @t1 @t3) (= (tptp.ti (tptp.fun @t1 @t17) @t16) @t16))) % 34.17/36.50 (assume @p5 (forall @t12 (= (tptp.ti (tptp.fun @t11 @t7) @t18) @t18))) % 34.17/36.50 (assume @p6 (= (tptp.ti (tptp.fun tptp.pname @t19) tptp.body) tptp.body)) % 34.17/36.50 (assume @p7 (forall @t22 (= (tptp.ti (tptp.fun @t21 tptp.nat) @t20) @t20))) % 34.17/36.50 (assume @p8 (forall @t26 (= (tptp.ti (tptp.fun @t25 tptp.bool) @t23) @t23))) % 34.17/36.50 (assume @p9 (forall @t30 (= (tptp.ti @t29 @t27) @t27))) % 34.17/36.50 (assume @p10 (forall @t26 (= (tptp.ti (tptp.fun @t37 @t35) @t31) @t31))) % 34.17/36.50 (assume @p11 (forall @t26 (= (tptp.ti @t42 @t38) @t38))) % 34.17/36.50 (assume @p12 (forall @t26 (= (tptp.ti @t42 @t43) @t43))) % 34.17/36.50 (assume @p13 (forall @t30 (= (tptp.ti @t47 @t44) @t44))) % 34.17/36.50 (assume @p14 (forall @t30 (= (tptp.ti @t47 @t48) @t48))) % 34.17/36.50 (assume @p15 (forall @t15 (=> @t50 (= (tptp.ti @t14 @t49) @t49)))) % 34.17/36.50 (assume @p16 (forall @t22 (=> @t53 (= (tptp.ti @t52 @t51) @t51)))) % 34.17/36.50 (assume @p17 (forall @t30 (=> @t55 (= (tptp.ti @t3 @t54) @t54)))) % 34.17/36.50 (assume @p18 (forall @t15 (=> @t59 @t58))) % 34.17/36.50 (assume @p19 (forall @t30 (=> @t61 (= (tptp.ti @t37 @t60) @t60)))) % 34.17/36.50 (assume @p20 (forall @t15 (=> @t62 @t58))) % 34.17/36.50 (assume @p21 (forall @t15 (=> @t65 @t64))) % 34.17/36.50 (assume @p22 (forall @t15 (=> @t66 @t64))) % 34.17/36.50 (assume @p23 (forall @t15 (=> @t67 @t64))) % 34.17/36.50 (assume @p24 (forall @t15 (=> @t68 @t64))) % 34.17/36.50 (assume @p25 (forall @t15 (=> @t69 @t64))) % 34.17/36.50 (assume @p26 (forall @t30 (=> @t71 (= (tptp.ti @t3 @t70) @t70)))) % 34.17/36.50 (assume @p27 (forall @t30 (= (tptp.ti @t45 @t72) @t72))) % 34.17/36.50 (assume @p28 (forall @t15 (= (tptp.ti @t1 @t73) @t73))) % 34.17/36.50 (assume @p29 (forall @t15 (= (tptp.ti (tptp.fun tptp.bool @t57) @t74) @t74))) % 34.17/36.50 (assume @p30 (= (tptp.ti @t75 tptp.bit1) tptp.bit1)) % 34.17/36.50 (assume @p31 (= (tptp.ti tptp.int tptp.pls) tptp.pls)) % 34.17/36.50 (assume @p32 (forall @t30 (=> @t77 (= (tptp.ti (tptp.fun tptp.int @t3) @t76) @t76)))) % 34.17/36.50 (assume @p33 (forall @t30 (=> @t79 (= (tptp.ti @t28 @t78) @t78)))) % 34.17/36.50 (assume @p34 (= (tptp.ti @t75 tptp.succ) tptp.succ)) % 34.17/36.50 (assume @p35 (= (tptp.ti @t80 tptp.suc) tptp.suc)) % 34.17/36.50 (assume @p36 (forall @t30 (= (tptp.ti (tptp.fun @t3 @t83) @t81) @t81))) % 34.17/36.50 (assume @p37 (forall @t15 (=> @t85 (= (tptp.ti (tptp.fun tptp.nat @t1) @t84) @t84)))) % 34.17/36.50 (assume @p38 (forall @t30 (=> @t88 (= (tptp.ti (tptp.fun @t36 @t87) @t86) @t86)))) % 34.17/36.50 (assume @p39 (= (tptp.ti @t89 tptp.nat_neg) tptp.nat_neg)) % 34.17/36.50 (assume @p40 (= (tptp.ti (tptp.fun tptp.int @t75) tptp.nat_tsub) tptp.nat_tsub)) % 34.17/36.50 (assume @p41 (= (tptp.ti (tptp.fun @t19 tptp.com) @t90) @t90)) % 34.17/36.50 (assume @p42 (forall @t30 (=> @t92 (= (tptp.ti @t3 @t91) @t91)))) % 34.17/36.50 (assume @p43 (forall @t15 (=> @t96 (= (tptp.ti @t95 @t93) @t93)))) % 34.17/36.50 (assume @p44 (forall @t15 (=> @t96 (= (tptp.ti @t95 @t97) @t97)))) % 34.17/36.50 (assume @p45 (forall @t30 (= (tptp.ti (tptp.fun @t3 @t45) @t98) @t98))) % 34.17/36.50 (assume @p46 (forall @t30 (= (tptp.ti @t100 @t99) @t99))) % 34.17/36.50 (assume @p47 (forall @t26 (= (tptp.ti (tptp.fun @t8 @t102) @t101) @t101))) % 34.17/36.50 (assume @p48 (forall @t30 (= (tptp.ti @t104 @t103) @t103))) % 34.17/36.50 (assume @p49 (forall @t30 (= (tptp.ti @t45 @t105) @t105))) % 34.17/36.50 (assume @p50 (forall @t26 (= (tptp.ti (tptp.fun @t28 @t109) @t106) @t106))) % 34.17/36.50 (assume @p51 (= (tptp.ti tptp.bool tptp.fFalse) tptp.fFalse)) % 34.17/36.50 (assume @p52 (= (tptp.ti @t110 tptp.fNot) tptp.fNot)) % 34.17/36.50 (assume @p53 (= (tptp.ti tptp.bool tptp.fTrue) tptp.fTrue)) % 34.17/36.50 (assume @p54 (= (tptp.ti @t111 tptp.fconj) tptp.fconj)) % 34.17/36.50 (assume @p55 (= (tptp.ti @t111 tptp.fdisj) tptp.fdisj)) % 34.17/36.50 (assume @p56 (forall @t15 (= (tptp.ti @t95 @t112) @t112))) % 34.17/36.50 (assume @p57 (= (tptp.ti @t111 tptp.fimplies) tptp.fimplies)) % 34.17/36.50 (assume @p58 (forall @t116 (= (tptp.hAPP @t1 @t2 (tptp.ti @t5 @t114) @t113) @t115))) % 34.17/36.50 (assume @p59 (forall @t116 (= (tptp.hAPP @t1 @t2 @t114 (tptp.ti @t1 @t113)) @t115))) % 34.17/36.50 (assume @p60 @t118) % 34.17/36.50 (assume @p61 (forall (@list @t114) (= (tptp.hBOOL (tptp.ti tptp.bool @t114)) (tptp.hBOOL @t114)))) % 34.17/36.50 (assume @p62 (forall @t30 (= (tptp.ti @t120 @t119) @t119))) % 34.17/36.50 (assume @p63 (= (tptp.ti @t121 tptp.g) tptp.g)) % 34.17/36.50 (assume @p64 (= (tptp.ti (tptp.fun @t121 @t122) tptp.p) tptp.p)) % 34.17/36.50 (assume @p65 (= (tptp.ti @t123 tptp.u) tptp.u)) % 34.17/36.50 (assume @p66 (= (tptp.ti (tptp.fun tptp.com tptp.x_a) tptp.mgt) tptp.mgt)) % 34.17/36.50 (assume @p67 (= (tptp.ti @t124 tptp.mgt_call) tptp.mgt_call)) % 34.17/36.50 (assume @p68 (= (tptp.ti tptp.nat tptp.na) tptp.na)) % 34.17/36.50 (assume @p69 (= (tptp.ti tptp.pname tptp.pn) tptp.pn)) % 34.17/36.50 (assume @p70 (= (tptp.ti (tptp.fun tptp.com tptp.bool) tptp.wt) tptp.wt)) % 34.17/36.50 (assume @p71 (forall (@list @t125 @t126) (=> (tptp.hBOOL (tptp.hAPP @t121 tptp.bool (tptp.hAPP @t121 @t122 @t128 @t125) @t126)) (tptp.hBOOL (tptp.hAPP @t121 tptp.bool @t127 @t125))))) % 34.17/36.50 (assume @p72 (forall @t133 (=> @t132 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.finite_finite @t28) (tptp.hAPP @t29 @t29 (tptp.collect @t28) (tptp.hAPP @t28 @t29 (tptp.hAPP @t131 @t131 (tptp.combc @t28 @t28 tptp.bool) @t130) @t129))))))) % 34.17/36.50 (assume @p73 (forall (@list @t2 @t3 @t135 @t134) (=> @t137 (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t136 (tptp.hAPP @t28 @t21 (tptp.hAPP @t8 @t102 @t101 @t135) @t134)))))) % 34.17/36.50 (assume @p74 (forall @t142 (=> @t132 @t141))) % 34.17/36.50 (assume @p75 (forall @t150 (=> @t132 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 (tptp.hAPP @t21 tptp.nat @t20 @t147)) @t144))))) % 34.17/36.50 (assume @p76 (forall @t157 (=> @t156 (=> @t155 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t153 @t152)))))) % 34.17/36.50 (assume @p77 (forall @t157 (=> @t156 (=> @t155 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t152) @t144)) @t160))))) % 34.17/36.50 (assume @p78 (forall @t165 (=> @t132 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t153 @t164))))) % 34.17/36.50 (assume @p79 (forall @t165 (=> @t132 (and (=> @t167 (= @t164 @t144)) @t169)))) % 34.17/36.50 (assume @p80 (forall @t165 (=> @t132 @t169))) % 34.17/36.50 (assume @p81 (forall @t181 (=> (or @t180 @t178) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 (tptp.hAPP @t28 @t28 @t99 (tptp.hAPP @t28 @t28 (tptp.hAPP @t173 @t100 @t176 (tptp.hAPP @t28 @t173 @t175 @t171)) @t170))))))) % 34.17/36.50 (assume @p82 (forall @t192 (=> @t191 (= @t189 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t186))))) % 34.17/36.50 (assume @p83 (forall @t199 (tptp.hBOOL (tptp.hAPP @t149 tptp.bool @t198 (tptp.hAPP @t149 @t149 @t197 (tptp.hAPP tptp.nat @t149 @t196 @t193)))))) % 34.17/36.50 (assume @p84 (forall @t203 (= (tptp.hAPP @t149 tptp.nat @t202 (tptp.hAPP @t149 @t149 @t197 (tptp.hAPP tptp.nat @t149 @t196 @t200))) @t201))) % 34.17/36.50 (assume @p85 (forall @t30 (=> (tptp.finite_finite_1 @t3) (forall @t204 @t132)))) % 34.17/36.50 (assume @p86 (forall @t208 (=> (= (tptp.hAPP tptp.nat tptp.nat tptp.suc @t206) (tptp.hAPP tptp.nat tptp.nat tptp.suc @t205)) @t207))) % 34.17/36.50 (assume @p87 (forall (@list @t210 @t209) (= (= @t211 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t209)) (= @t210 @t209)))) % 34.17/36.50 (assume @p88 (forall @t213 (not (= @t212 @t182)))) % 34.17/36.50 (assume @p89 (forall @t213 (not (= @t182 @t212)))) % 34.17/36.50 (assume @p90 (forall @t217 (=> @t216 (=> @t191 @t214)))) % 34.17/36.50 (assume @p91 (forall @t224 (=> @t223 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t222 @t218)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t220 @t218)))))) % 34.17/36.50 (assume @p92 (forall @t217 (=> @t214 @t216))) % 34.17/36.50 (assume @p93 (forall @t217 (or @t216 @t191))) % 34.17/36.50 (assume @p94 (forall @t213 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t190 @t182)))) % 34.17/36.50 (assume @p95 (forall @t228 (= @t227 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 (tptp.hAPP tptp.nat tptp.nat @t225 @t218)) @t221)))) % 34.17/36.50 (assume @p96 (forall (@list @t3 @t171 @t170) (= (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 (tptp.hAPP @t28 @t28 @t99 (tptp.hAPP @t28 @t28 (tptp.hAPP @t173 @t100 @t176 (tptp.hAPP @t28 @t173 @t229 @t171)) @t170)))) (and @t180 @t178)))) % 34.17/36.50 (assume @p97 (forall @t142 (= @t141 @t132))) % 34.17/36.50 (assume @p98 (forall @t157 (=> @t155 (=> @t156 @t132)))) % 34.17/36.50 (assume @p99 (forall @t157 (=> @t156 (=> @t155 @t132)))) % 34.17/36.50 (assume @p100 (forall @t217 (=> @t230 @t216))) % 34.17/36.50 (assume @p101 (forall @t217 (=> @t231 (=> (not @t216) (= @t183 @t212))))) % 34.17/36.50 (assume @p102 (forall @t217 (=> @t216 @t231))) % 34.17/36.50 (assume @p103 (forall @t236 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t235 @t234)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t233 @t232))))) % 34.17/36.50 (assume @p104 (forall @t239 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t237 @t201)) (or @t238 (= @t232 @t201))))) % 34.17/36.50 (assume @p105 (forall @t239 (= (not @t238) @t240))) % 34.17/36.50 (assume @p106 (forall @t213 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t241 @t182))))) % 34.17/36.50 (assume @p107 (forall @t242 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t189) (tptp.hAPP tptp.nat tptp.nat tptp.suc @t218)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t186) @t218)))) % 34.17/36.50 (assume @p108 (forall @t217 (= (tptp.hAPP tptp.nat tptp.nat @t188 @t212) @t186))) % 34.17/36.50 (assume @p109 (forall @t250 (=> @t249 (=> @t248 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t246) @t244)) @t238))))) % 34.17/36.50 (assume @p110 (forall (@list @t182 @t218 @t183) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t252 @t183)) (=> @t253 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 (tptp.hAPP tptp.nat tptp.nat @t185 @t218)) (tptp.hAPP tptp.nat tptp.nat @t251 @t218)) @t186))))) % 34.17/36.50 (assume @p111 (forall @t250 (=> @t249 (=> @t248 (= (= @t246 @t244) @t254))))) % 34.17/36.50 (assume @p112 (forall @t255 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t220 @t182)) (= (tptp.hAPP tptp.nat tptp.nat @t251 (tptp.hAPP tptp.nat tptp.nat @t251 @t219)) @t219)))) % 34.17/36.50 (assume @p113 (forall @t257 (=> @t216 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 (tptp.hAPP tptp.nat tptp.nat @t185 @t256)) (tptp.hAPP tptp.nat tptp.nat @t251 @t256)))))) % 34.17/36.50 (assume @p114 (forall @t257 (=> @t216 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t260) @t259))))) % 34.17/36.50 (assume @p115 (forall @t217 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t186) @t183)))) % 34.17/36.50 (assume @p116 (forall (@list @t2 @t3 @t151 @t145 @t129) (=> @t132 (=> (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t264 @t147)) @t261)))) % 34.17/36.50 (assume @p117 (forall @t270 (=> @t156 (=> @t269 (exists (@list @t265) (and (tptp.hBOOL (tptp.hAPP @t21 tptp.bool (tptp.hAPP @t21 @t263 @t262 @t265) @t129)) (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t136 @t265)) (= @t158 (tptp.hAPP @t21 @t28 @t266 @t265)))))))) % 34.17/36.50 (assume @p118 (forall @t30 (=> @t281 (forall @t280 (=> (forall @t279 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t278) @t277))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t233 @t271)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t273) @t272)))))))) % 34.17/36.50 (assume @p119 (forall @t150 (=> @t290 (=> (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t136 @t147)) (exists @t289 (and @t288 (not (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 (tptp.hAPP @t28 @t28 @t99 (tptp.hAPP @t28 @t28 @t286 (tptp.hAPP @t2 @t28 (tptp.hAPP @t284 (tptp.fun @t2 @t28) (tptp.combc @t3 @t2 tptp.bool) (tptp.hAPP @t8 @t284 (tptp.hAPP (tptp.fun @t2 @t21) (tptp.fun @t8 @t284) (tptp.combb @t2 @t21 @t3) (tptp.fequal @t2)) @t145)) @t283)))))))))))) % 34.17/36.50 (assume @p120 @t300) % 34.17/36.50 (assume @p121 (forall @t157 (=> @t155 (=> @t301 @t160)))) % 34.17/36.50 (assume @p122 (forall @t307 (=> @t155 @t306))) % 34.17/36.50 (assume @p123 (forall @t316 (=> (=> @t315 @t313) @t311))) % 34.17/36.50 (assume @p124 (forall @t320 (=> @t319 (=> @t318 @t317)))) % 34.17/36.50 (assume @p125 (forall @t326 (=> @t325 (=> @t324 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t171 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t193) @t321))))))) % 34.17/36.50 (assume @p126 (forall (@list @t182 @t329) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t241 @t329)) (exists @t330 (= @t329 @t328))))) % 34.17/36.50 (assume @p127 (forall @t15 (=> @t333 (forall @t332 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t331 @t206)))))) % 34.17/36.50 (assume @p128 (forall @t15 (=> @t337 (forall @t208 (or @t336 @t335))))) % 34.17/36.50 (assume @p129 (forall @t30 (=> @t281 (forall @t344 (= @t343 (and @t340 @t339)))))) % 34.17/36.50 (assume @p130 (forall @t15 (=> @t333 (forall @t208 (=> @t207 @t336))))) % 34.17/36.50 (assume @p131 (forall @t30 (=> @t281 (forall @t346 (=> @t339 @t345))))) % 34.17/36.50 (assume @p132 (forall @t15 (=> @t96 (forall @t355 (=> @t354 (=> @t353 @t350)))))) % 34.17/36.50 (assume @p133 (forall @t15 (=> @t361 (forall @t355 (=> @t360 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t356 @t351)) @t357)))))) % 34.17/36.50 (assume @p134 (forall @t15 (=> @t96 (forall @t355 (=> @t363 (=> @t362 @t350)))))) % 34.17/36.50 (assume @p135 (forall @t15 (=> @t361 (forall @t367 (=> @t366 (=> @t365 @t357)))))) % 34.17/36.50 (assume @p136 (forall @t15 (=> @t361 (forall @t208 (=> @t336 (=> @t335 @t370)))))) % 34.17/36.50 (assume @p137 (forall @t15 (=> @t333 (forall @t373 (=> @t336 (=> @t372 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t331 @t371)))))))) % 34.17/36.50 (assume @p138 (forall @t15 (=> @t361 (forall @t374 (=> @t335 (=> @t336 @t370)))))) % 34.17/36.50 (assume @p139 (forall @t15 (=> @t361 (forall @t377 (=> @t335 (=> @t376 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t375 @t206)))))))) % 34.17/36.50 (assume @p140 (forall @t15 (=> @t337 (forall @t208 (=> (not @t336) @t335))))) % 34.17/36.50 (assume @p141 (forall @t379 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t310 @t378)))) % 34.17/36.50 (assume @p142 (forall @t379 (= @t378 (tptp.hAPP @t28 @t28 @t99 (tptp.hAPP @t28 @t28 (tptp.hAPP @t173 @t100 @t176 (tptp.hAPP @t28 @t173 @t229 @t384)) @t380))))) % 34.17/36.50 (assume @p143 (forall @t387 (= (tptp.hAPP @t28 @t28 @t139 @t179) (tptp.hAPP @t28 @t28 @t99 (tptp.hAPP @t28 @t28 (tptp.hAPP @t173 @t100 @t176 (tptp.hAPP @t28 @t173 (tptp.hAPP @t111 @t174 @t172 tptp.fimplies) (tptp.hAPP @t28 @t28 @t386 @t384))) @t171))))) % 34.17/36.50 (assume @p144 (forall (@list @t3 @t2 @t145 @t388) (=> (forall @t289 @t390) (= (tptp.ti @t8 @t145) (tptp.ti @t8 @t388))))) % 34.17/36.50 (assume @p145 (forall @t165 (= @t167 @t391))) % 34.17/36.50 (assume @p146 (forall @t392 (= @t179 (tptp.ti @t28 @t171)))) % 34.17/36.50 (assume @p147 (forall @t165 (= (tptp.hAPP @t28 @t28 @t162 @t163) @t163))) % 34.17/36.50 (assume @p148 (forall (@list @t3 @t161 @t338 @t129) (= (tptp.hAPP @t28 @t28 @t162 @t394) (tptp.hAPP @t28 @t28 @t393 @t163)))) % 34.17/36.50 (assume @p149 (forall @t320 (= @t319 (or @t313 @t317)))) % 34.17/36.50 (assume @p150 (forall (@list @t3 @t338 @t129 @t161) (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t394 @t161)) (or (= @t341 @t342) @t391)))) % 34.17/36.50 (assume @p151 (forall @t398 (=> @t168 (=> @t397 (= (= @t163 @t395) @t160))))) % 34.17/36.50 (assume @p152 (forall @t316 (=> @t314 @t311))) % 34.17/36.50 (assume @p153 (forall @t142 (=> @t317 (= @t140 @t159)))) % 34.17/36.50 (assume @p154 (forall @t133 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t154 @t129)))) % 34.17/36.50 (assume @p155 (forall @t157 (= @t160 (and @t155 @t301)))) % 34.17/36.50 (assume @p156 (forall @t157 (=> @t160 @t155))) % 34.17/36.50 (assume @p157 (forall @t157 (=> @t160 @t301))) % 34.17/36.50 (assume @p158 (forall @t399 (=> @t155 (=> @t167 @t396)))) % 34.17/36.50 (assume @p159 (forall @t398 (=> @t167 (=> @t155 @t396)))) % 34.17/36.50 (assume @p160 (forall @t403 (=> @t155 (=> @t402 @t401)))) % 34.17/36.50 (assume @p161 (forall @t157 (=> @t160 (not (=> @t155 (not @t301)))))) % 34.17/36.50 (assume @p162 (forall (@list @t3 @t2 @t405 @t145 @t129) (= (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t3 @t29 @t119 @t405) @t267)) (exists @t289 (and @t408 (= @t406 @t404)))))) % 34.17/36.50 (assume @p163 (forall @t410 (=> @t167 (tptp.hBOOL (tptp.hAPP @t21 tptp.bool (tptp.hAPP @t2 @t263 @t294 @t409) @t147))))) % 34.17/36.50 (assume @p164 (forall (@list @t2 @t3 @t291 @t145 @t161 @t129) (=> @t167 (=> (= (tptp.ti @t2 @t291) @t409) (tptp.hBOOL (tptp.hAPP @t21 tptp.bool (tptp.hAPP @t2 @t263 @t294 @t291) @t147)))))) % 34.17/36.50 (assume @p165 (forall (@list @t3 @t282 @t411) (= (tptp.hAPP @t28 @t28 @t412 @t411) (tptp.hAPP @t28 @t28 @t99 (tptp.hAPP @t28 @t28 (tptp.hAPP @t173 @t100 @t176 (tptp.hAPP @t28 @t173 @t229 (tptp.hAPP @t3 @t28 @t383 @t282))) (tptp.hAPP @t28 @t28 @t285 @t411)))))) % 34.17/36.50 (assume @p166 (forall (@list @t2 @t3 @t413 @t145 @t388 @t129) (= (tptp.hAPP @t21 @t28 @t266 (tptp.hAPP @t416 @t21 (tptp.hAPP @t415 (tptp.fun @t416 @t21) (tptp.image @t413 @t2) @t388) @t129)) (tptp.hAPP @t416 @t28 (tptp.hAPP @t414 (tptp.fun @t416 @t28) (tptp.image @t413 @t3) (tptp.hAPP @t415 @t414 (tptp.hAPP @t34 (tptp.fun @t415 @t414) (tptp.combb @t2 @t3 @t413) @t145) @t388)) @t129)))) % 34.17/36.50 (assume @p167 (forall (@list @t3 @t417) (= (tptp.hAPP @t28 @t28 (tptp.hAPP @t36 @t100 @t418 (tptp.combi @t3)) @t417) (tptp.ti @t28 @t417)))) % 34.17/36.50 (assume @p168 (forall @t26 (=> @t426 (forall @t425 (= @t424 @t421))))) % 34.17/36.50 (assume @p169 (forall @t26 (=> @t426 (forall (@list @t161 @t145 @t388) (=> @t424 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t419 @t409) (tptp.hAPP @t3 @t2 @t388 @t161)))))))) % 34.17/36.50 (assume @p170 (forall (@list @t3 @t151 @t138) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t268 @t378)))) % 34.17/36.50 (assume @p171 (forall @t399 (= (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t130 @t163) @t151)) (and @t396 @t155)))) % 34.17/36.50 (assume @p172 (forall @t398 (=> @t168 (= @t427 @t155)))) % 34.17/36.50 (assume @p173 (forall (@list @t3 @t291 @t129 @t151) (=> @t155 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t154 @t309))))) % 34.17/36.50 (assume @p174 (forall (@list @t3 @t138 @t400 @t428) (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t130 @t400) @t428)) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t130 (tptp.hAPP @t28 @t28 @t139 @t400)) (tptp.hAPP @t28 @t28 @t139 @t428)))))) % 34.17/36.50 (assume @p175 (forall (@list @t2 @t3 @t145 @t138 @t151) (= (tptp.hAPP @t21 @t28 @t266 (tptp.hAPP @t21 @t21 (tptp.hAPP @t2 @t431 @t430 @t138) @t151)) (tptp.hAPP @t28 @t28 (tptp.hAPP @t3 @t100 @t103 (tptp.hAPP @t2 @t3 @t145 @t138)) @t429)))) % 34.17/36.50 (assume @p176 (forall @t410 (=> @t167 (= (tptp.hAPP @t21 @t21 (tptp.hAPP @t2 @t431 @t430 @t409) @t147) @t147)))) % 34.17/36.50 (assume @p177 (forall (@list @t3 @t2 @t151 @t145 @t129) (= @t269 (exists (@list @t432) (and (tptp.hBOOL (tptp.hAPP @t21 tptp.bool (tptp.hAPP @t21 @t263 @t262 @t432) @t129)) (= @t158 (tptp.hAPP @t21 @t28 @t266 @t432))))))) % 34.17/36.50 (assume @p178 (forall @t270 (=> @t155 (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t433 (tptp.hAPP @t28 @t21 @t146 @t151)))))) % 34.17/36.50 (assume @p179 (forall (@list @t3 @t2 @t291 @t145 @t129) (=> @t293 (not (forall @t289 (=> (= @t297 @t404) (not @t408))))))) % 34.17/36.50 (assume @p180 (forall @t434 (=> (forall @t289 (=> @t288 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t287 @t151)))) @t155))) % 34.17/36.50 (assume @p181 (forall (@list @t2 @t3 @t145 @t151 @t129) (=> (forall @t289 (=> @t288 (tptp.hBOOL (tptp.hAPP @t21 tptp.bool (tptp.hAPP @t2 @t263 @t294 @t283) @t151)))) (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t433 @t151))))) % 34.17/36.50 (assume @p182 (forall @t26 (=> @t426 (forall @t425 (=> @t421 @t424))))) % 34.17/36.50 (assume @p183 (forall @t440 (= @t439 (exists @t330 (forall @t289 (=> @t438 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t282) @t327)))))))) % 34.17/36.50 (assume @p184 (forall (@list @t126 @t302) (=> (tptp.hBOOL (tptp.hAPP tptp.com tptp.bool tptp.wt @t302)) (=> (forall @t289 (=> (tptp.hBOOL (tptp.hAPP @t123 tptp.bool (tptp.hAPP tptp.pname @t445 @t444 @t282) tptp.u)) (tptp.hBOOL (tptp.hAPP @t121 tptp.bool @t127 (tptp.hAPP @t121 @t121 (tptp.hAPP tptp.x_a @t443 @t442 (tptp.hAPP tptp.pname tptp.x_a tptp.mgt_call @t282)) @t441))))) (tptp.hBOOL (tptp.hAPP @t121 tptp.bool @t127 (tptp.hAPP @t121 @t121 (tptp.hAPP tptp.x_a @t443 @t442 (tptp.hAPP tptp.com tptp.x_a tptp.mgt @t302)) @t441))))))) % 34.17/36.50 (assume @p185 (forall @t30 (=> @t454 (forall @t453 (=> @t452 (= @t449 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t447 @t446)))))))) % 34.17/36.50 (assume @p186 (forall @t239 (= @t456 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP @t149 @t149 (tptp.hAPP tptp.bool @t455 (tptp.nat_case tptp.bool) tptp.fFalse) @t237) @t200))))) % 34.17/36.50 (assume @p187 (forall (@list @t2 @t3 @t151 @t129 @t145 @t405 @t388 @t134) (=> @t459 (=> @t458 (=> (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t264 @t129)) (= (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t145 (tptp.hAPP @t21 @t3 @t134 @t151)) @t457) @t457)))))) % 34.17/36.50 (assume @p188 (forall @t465 (=> @t459 (=> @t458 @t464)))) % 34.17/36.50 (assume @p189 (forall @t467 (not (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t310 @t466))))) % 34.17/36.50 (assume @p190 (forall @t434 (=> @t132 @t471))) % 34.17/36.50 (assume @p191 (forall @t30 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t466)))) % 34.17/36.50 (assume @p192 (forall @t133 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t130 @t466) @t129)))) % 34.17/36.50 (assume @p193 (forall @t142 (=> @t473 @t472))) % 34.17/36.50 (assume @p194 (forall @t392 (= (= @t179 @t466) @t475))) % 34.17/36.50 (assume @p195 (forall @t133 (= (tptp.hAPP @t28 @t28 @t469 @t129) @t466))) % 34.17/36.50 (assume @p196 (forall @t133 (= (tptp.hAPP @t28 @t28 @t469 @t466) @t159))) % 34.17/36.50 (assume @p197 (forall (@list @t3 @t302) (not (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t303 @t466))))) % 34.17/36.50 (assume @p198 (forall @t392 (= (= @t466 @t179) @t475))) % 34.17/36.50 (assume @p199 (forall @t133 (= (tptp.hAPP @t28 @t28 (tptp.hAPP @t28 @t100 @t468 @t466) @t129) @t466))) % 34.17/36.50 (assume @p200 (forall @t133 (= @t477 @t476))) % 34.17/36.50 (assume @p201 (forall @t133 (= (forall @t289 (not @t288)) @t473))) % 34.17/36.50 (assume @p202 (forall @t479 (=> @t92 (forall @t478 (= (tptp.hAPP @t2 @t3 (tptp.bot_bot @t34) @t161) @t91))))) % 34.17/36.50 (assume @p203 (forall @t30 (= @t466 (tptp.hAPP @t28 @t28 @t99 (tptp.hAPP tptp.bool @t28 (tptp.combk tptp.bool @t3) tptp.fFalse))))) % 34.17/36.50 (assume @p204 (forall @t26 (=> (tptp.bot @t2) (forall @t289 (= (tptp.hAPP @t3 @t2 (tptp.bot_bot @t8) @t282) (tptp.bot_bot @t2)))))) % 34.17/36.50 (assume @p205 (forall @t142 (=> @t317 (= @t482 @t159)))) % 34.17/36.50 (assume @p206 (forall @t165 (=> @t168 (= (tptp.hAPP @t28 @t28 @t484 @t483) @t159)))) % 34.17/36.50 (assume @p207 (forall @t142 (= @t482 @t140))) % 34.17/36.50 (assume @p208 (forall @t486 (= @t485 (tptp.hAPP @t28 @t28 (tptp.hAPP @t28 @t100 @t468 @t481) @t151)))) % 34.17/36.50 (assume @p209 (forall @t486 (= @t485 (tptp.hAPP @t28 @t28 @t487 @t480)))) % 34.17/36.50 (assume @p210 (forall (@list @t2 @t3 @t161 @t145 @t405 @t388 @t134) (=> @t459 @t489))) % 34.17/36.50 (assume @p211 (forall @t492 (=> @t491 (=> @t167 @t427)))) % 34.17/36.50 (assume @p212 (forall @t492 (= @t427 (and (=> @t167 @t491) @t493)))) % 34.17/36.50 (assume @p213 (forall @t157 (=> @t156 (= @t471 @t132)))) % 34.17/36.50 (assume @p214 (forall @t492 @t495)) % 34.17/36.50 (assume @p215 (forall @t492 (and @t495 (=> @t397 (= @t494 (tptp.hAPP @t28 @t28 @t162 @t470)))))) % 34.17/36.50 (assume @p216 (forall @t403 (=> @t155 (=> @t402 (= (tptp.hAPP @t28 @t28 @t497 (tptp.hAPP @t28 @t28 @t496 @t129)) @t159))))) % 34.17/36.50 (assume @p217 (forall (@list @t3 @t428 @t151 @t129 @t400) (=> @t401 (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t130 @t428) @t151)) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t498 (tptp.hAPP @t28 @t28 @t496 @t428))))))) % 34.17/36.50 (assume @p218 (forall @t157 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t498 @t129)))) % 34.17/36.50 (assume @p219 (forall (@list @t3 @t138 @t291) (=> (= @t480 @t499) @t313))) % 34.17/36.50 (assume @p220 (forall @t502 (=> @t501 @t500))) % 34.17/36.50 (assume @p221 (forall (@list @t3 @t138 @t291 @t302 @t446) (= (= (tptp.hAPP @t28 @t28 @t139 @t499) (tptp.hAPP @t28 @t28 (tptp.hAPP @t3 @t100 @t103 @t302) (tptp.hAPP @t28 @t28 (tptp.hAPP @t3 @t100 @t103 @t446) @t466))) (or (and (= @t312 @t503) (= @t297 @t505)) (and (= @t312 @t505) @t504))))) % 34.17/36.50 (assume @p222 (forall @t502 (= @t501 @t500))) % 34.17/36.50 (assume @p223 (forall @t142 (not (= @t140 @t466)))) % 34.17/36.50 (assume @p224 (forall @t142 (not (= @t466 @t140)))) % 34.17/36.50 (assume @p225 (forall @t133 (= (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t154 @t466)) @t473))) % 34.17/36.50 (assume @p226 (forall @t150 (= (= @t267 @t466) @t507))) % 34.17/36.50 (assume @p227 (forall (@list @t2 @t3 @t145) (= (tptp.hAPP @t21 @t28 @t266 @t506) @t466))) % 34.17/36.50 (assume @p228 (forall (@list @t3 @t2 @t145 @t129) (= (= @t466 @t267) @t507))) % 34.17/36.50 (assume @p229 (forall @t15 (=> @t510 (forall @t509 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t349 @t508)) (= @t359 @t508)))))) % 34.17/36.50 (assume @p230 (forall @t30 (=> @t92 (forall @t512 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t448 @t91)) @t511))))) % 34.17/36.50 (assume @p231 (forall @t15 (=> @t510 (forall @t509 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 @t508) @t348)))))) % 34.17/36.50 (assume @p232 (forall @t516 (and (=> @t514 (= @t513 @t480)) (=> @t515 (= @t513 @t466))))) % 34.17/36.50 (assume @p233 (forall @t516 (and (=> @t514 (= @t518 @t480)) (=> @t515 (= @t518 @t466))))) % 34.17/36.50 (assume @p234 (forall @t467 (= (tptp.hAPP @t28 @t28 @t99 @t384) @t480))) % 34.17/36.50 (assume @p235 (forall @t467 (= (tptp.hAPP @t28 @t28 @t99 @t517) @t480))) % 34.17/36.50 (assume @p236 (forall @t165 (=> @t132 (=> @t167 (= @t520 @t144))))) % 34.17/36.50 (assume @p237 (forall @t165 (=> @t132 (= @t164 @t520)))) % 34.17/36.50 (assume @p238 (forall @t165 (=> @t132 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t519) @t144))))) % 34.17/36.50 (assume @p239 (forall @t486 (= (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t485)) @t471))) % 34.17/36.50 (assume @p240 (forall (@list @t3 @t2 @t145 @t129 @t151) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t130 (tptp.hAPP @t28 @t28 (tptp.hAPP @t28 @t100 @t468 @t267) @t429)) (tptp.hAPP @t21 @t28 @t266 (tptp.hAPP @t21 @t21 @t521 @t151)))))) % 34.17/36.50 (assume @p241 (forall (@list @t3 @t129 @t161) (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t154 @t483)) (or @t473 (= @t159 @t483))))) % 34.17/36.50 (assume @p242 (forall (@list @t3 @t523 @t522 @t210) (= (tptp.hAPP tptp.nat @t3 @t524 @t211) (tptp.hAPP tptp.nat @t3 @t522 @t210)))) % 34.17/36.50 (assume @p243 (forall (@list @t2 @t3 @t302 @t161 @t129) (=> @t167 @t526))) % 34.17/36.50 (assume @p244 (forall (@list @t2 @t3 @t302 @t129) (and (=> @t473 (= @t525 @t506)) (=> @t476 @t526)))) % 34.17/36.50 (assume @p245 (forall @t465 (=> @t459 (=> @t458 (=> @t295 (= @t461 @t457)))))) % 34.17/36.50 (assume @p246 (forall @t30 (=> @t528 (forall @t453 (=> @t452 (= @t313 @t527)))))) % 34.17/36.50 (assume @p247 (forall @t157 (=> @t156 (=> @t301 (= @t531 @t530))))) % 34.17/36.50 (assume @p248 (forall @t157 (=> @t156 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t530) @t531))))) % 34.17/36.50 (assume @p249 (forall (@list @t3 @t171 @t129 @t134) (=> @t137 (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t130 @t134) @t129)) (=> @t539 (=> (forall (@list @t534 @t533) (=> @t538 (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t537 @t129)) (=> (not (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t537 @t533))) (=> @t536 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t171 (tptp.hAPP @t28 @t28 @t535 @t533)))))))) @t532)))))) % 34.17/36.50 (assume @p250 (forall (@list @t540 @t126) (=> (tptp.hBOOL (tptp.hAPP @t121 tptp.bool (tptp.hAPP @t121 @t122 tptp.p (tptp.hAPP @t121 @t121 @t541 @t126)) (tptp.hAPP @t121 @t121 (tptp.hAPP tptp.x_a @t443 @t442 (tptp.hAPP tptp.com tptp.x_a tptp.mgt @t542)) @t441))) (tptp.hBOOL (tptp.hAPP @t121 tptp.bool @t127 (tptp.hAPP @t121 @t121 @t541 @t441)))))) % 34.17/36.50 (assume @p251 (forall (@list @t3 @t171 @t129) (=> @t132 (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t171 @t129)) (=> (forall (@list @t534 @t543) (=> @t544 (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t537 @t543)) (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t171 @t543)) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t171 (tptp.hAPP @t28 @t28 (tptp.hAPP @t28 @t100 @t468 @t543) (tptp.hAPP @t28 @t28 @t535 @t466)))))))) @t539))))) % 34.17/36.50 (assume @p252 (forall @t547 (=> @t137 (=> @t539 (=> (forall @t546 (=> @t538 @t545)) @t532))))) % 34.17/36.50 (assume @p253 (forall @t467 (= (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t138)) (or (= @t548 @t466) (exists (@list @t543 @t534) (and (= @t548 (tptp.hAPP @t28 @t28 @t535 @t543)) @t544)))))) % 34.17/36.50 (assume @p254 (forall (@list @t549 @t145) (=> (forall @t279 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t275) @t550))) (tptp.hBOOL (tptp.hAPP @t149 tptp.bool @t198 (tptp.hAPP @t149 @t149 @t197 (tptp.hAPP tptp.nat @t149 (tptp.hAPP @t195 @t195 @t194 (tptp.hAPP @t80 @t195 (tptp.hAPP @t195 (tptp.fun @t80 @t195) (tptp.combb tptp.nat @t149 tptp.nat) @t148) @t145)) @t549))))))) % 34.17/36.50 (assume @p255 (forall @t551 (= (tptp.hAPP @t28 @t3 @t105 @t483) @t342))) % 34.17/36.50 (assume @p256 (forall @t133 (= @t476 (exists (@list @t282 @t552) (and (= @t159 (tptp.hAPP @t28 @t28 @t412 @t552)) (not (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t287 @t552)))))))) % 34.17/36.50 (assume @p257 (forall (@list @t540) (=> (tptp.hBOOL (tptp.hAPP @t123 tptp.bool (tptp.hAPP tptp.pname @t445 @t444 @t540) tptp.u)) (tptp.hBOOL (tptp.hAPP tptp.com tptp.bool tptp.wt @t542))))) % 34.17/36.50 (assume @p258 (forall @t307 (=> @t553 (not @t306)))) % 34.17/36.50 (assume @p259 (forall (@list @t3 @t151 @t302 @t129) (=> @t305 (=> @t554 @t553)))) % 34.17/36.50 (assume @p260 (forall @t307 (=> @t553 @t554))) % 34.17/36.50 (assume @p261 (forall @t307 (=> @t553 @t305))) % 34.17/36.50 (assume @p262 (forall @t157 (= (tptp.hAPP @t28 @t28 @t487 @t151) @t470))) % 34.17/36.50 (assume @p263 (forall @t307 (= @t553 (and @t305 @t554)))) % 34.17/36.50 (assume @p264 (forall @t157 (= @t470 (tptp.hAPP @t28 @t28 @t99 (tptp.hAPP @t28 @t28 @t286 (tptp.hAPP @t28 @t28 @t386 @t380)))))) % 34.17/36.50 (assume @p265 (forall @t560 (=> @t559 (=> @t132 (and (=> @t557 (= @t556 @t342)) (=> @t558 (= @t556 @t555))))))) % 34.17/36.50 (assume @p266 (forall @t560 (=> @t559 (=> @t132 (=> @t167 (and (=> @t557 (= @t561 @t342)) (=> @t558 (= @t561 @t555)))))))) % 34.17/36.50 (assume @p267 (forall @t465 (=> @t563 (=> @t458 (= @t463 @t562))))) % 34.17/36.50 (assume @p268 (forall @t465 (=> @t563 (=> @t458 (=> @t295 (= @t457 @t562)))))) % 34.17/36.50 (assume @p269 (forall @t26 (=> @t53 (forall (@list @t129 @t151 @t282) (= (tptp.hAPP @t3 @t2 (tptp.hAPP @t8 @t8 (tptp.hAPP @t8 @t564 (tptp.minus_minus @t8) @t129) @t151) @t282) (tptp.hAPP @t2 @t2 (tptp.hAPP @t2 @t24 @t51 (tptp.hAPP @t3 @t2 @t129 @t282)) (tptp.hAPP @t3 @t2 @t151 @t282))))))) % 34.17/36.50 (assume @p270 (forall @t479 (=> (tptp.minus @t3) (forall (@list @t129 @t151 @t161) (= (tptp.hAPP @t2 @t3 (tptp.hAPP @t34 @t34 (tptp.hAPP @t34 (tptp.fun @t34 @t34) (tptp.minus_minus @t34) @t129) @t151) @t161) (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t450 (tptp.hAPP @t2 @t3 @t129 @t161)) (tptp.hAPP @t2 @t3 @t151 @t161))))))) % 34.17/36.50 (assume @p271 (forall @t165 (=> @t132 (and @t566 (=> @t168 (= @t519 @t144)))))) % 34.17/36.50 (assume @p272 (forall @t165 (=> @t132 @t566))) % 34.17/36.50 (assume @p273 (forall @t30 (=> @t55 (forall @t478 (= (= @t54 @t342) (= @t342 @t54)))))) % 34.17/36.50 (assume @p274 (forall (@list @t2 @t3 @t145 @t405 @t388 @t134) (=> @t563 (= (tptp.hAPP @t21 @t3 @t134 @t506) @t406)))) % 34.17/36.50 (assume @p275 (forall @t213 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t212) @t565) @t182))) % 34.17/36.50 (assume @p276 (forall @t217 (= (tptp.hAPP tptp.nat tptp.nat @t185 @t212) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t567) @t182)))) % 34.17/36.50 (assume @p277 (forall @t568 (=> @t559 (= (tptp.hAPP @t28 @t3 @t134 @t483) @t342)))) % 34.17/36.50 (assume @p278 (forall @t465 (=> @t563 (=> @t458 (=> @t569 @t464))))) % 34.17/36.50 (assume @p279 (forall (@list @t3 @t151 @t138 @t129) (=> @t132 (=> @t317 (=> @t315 (= (tptp.hAPP @t28 tptp.nat @t143 @t485) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t531) @t565))))))) % 34.17/36.50 (assume @p280 (forall @t560 (=> @t559 (=> @t132 (=> @t168 @t571))))) % 34.17/36.50 (assume @p281 (forall (@list @t3 @t129 @t145 @t134) (=> @t559 (=> @t132 (=> @t476 (=> (forall @t574 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t3 @t29 @t119 @t573) (tptp.hAPP @t28 @t28 @t412 (tptp.hAPP @t28 @t28 (tptp.hAPP @t3 @t100 @t103 @t572) @t466))))) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t3 @t29 @t119 @t561) @t129)))))))) % 34.17/36.50 (assume @p282 (forall @t576 (=> @t563 (=> @t458 (=> (forall @t289 (=> @t408 (= @t575 @t406))) (= @t457 @t406)))))) % 34.17/36.50 (assume @p283 (forall @t165 (=> @t132 (=> @t167 (= @t144 @t579))))) % 34.17/36.50 (assume @p284 (forall @t165 (=> @t132 (= @t164 @t579)))) % 34.17/36.50 (assume @p285 (forall (@list @t3 @t151 @t129 @t145 @t134) (=> @t580 (=> @t132 (=> (not (= @t158 @t466)) (=> @t301 (= (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t145 (tptp.hAPP @t28 @t3 @t134 @t151)) @t561) @t561))))))) % 34.17/36.50 (assume @p286 (forall @t560 (=> @t580 (=> @t132 @t571)))) % 34.17/36.50 (assume @p287 (forall @t547 (=> @t137 (=> (not (= (tptp.ti @t28 @t134) @t466)) (=> (forall @t289 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t171 (tptp.hAPP @t28 @t28 @t412 @t466)))) (=> (forall @t546 (=> @t538 (=> (not (= (tptp.ti @t28 @t533) @t466)) @t545))) @t532)))))) % 34.17/36.50 (assume @p288 (forall (@list @t3 @t582) (= (tptp.hAPP @t28 @t3 @t105 @t582) (tptp.hAPP @t28 @t3 @t72 (tptp.hAPP @t382 @t28 (tptp.hAPP @t29 (tptp.fun @t382 @t28) (tptp.combb @t28 tptp.bool @t3) (tptp.hAPP @t28 @t29 (tptp.fequal @t28) @t582)) @t581))))) % 34.17/36.50 (assume @p289 (forall @t15 (=> @t62 @t590))) % 34.17/36.50 (assume @p290 (forall @t30 (=> @t61 (forall @t594 (= (= @t593 @t592) @t504))))) % 34.17/36.50 (assume @p291 (forall @t30 (=> @t61 (forall (@list @t291 @t138 @t302) (= (= @t598 @t596) @t504))))) % 34.17/36.50 (assume @p292 (forall @t15 (=> @t601 @t600))) % 34.17/36.50 (assume @p293 (forall @t15 (=> (tptp.cancel146912293up_add @t1) @t600))) % 34.17/36.50 (assume @p294 (forall @t15 (=> @t601 (forall @t604 (=> (= (tptp.hAPP @t1 @t1 @t583 @t348) @t603) @t365))))) % 34.17/36.50 (assume @p295 (forall @t568 (=> @t580 @t489))) % 34.17/36.50 (assume @p296 (forall @t217 (= @t608 @t606))) % 34.17/36.50 (assume @p297 (forall @t612 (= (tptp.hAPP tptp.nat tptp.nat @t609 @t611) (tptp.hAPP tptp.nat tptp.nat @t610 (tptp.hAPP tptp.nat tptp.nat @t609 @t371))))) % 34.17/36.50 (assume @p298 (forall @t242 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 @t608) @t218) (tptp.hAPP tptp.nat tptp.nat @t607 @t613)))) % 34.17/36.50 (assume @p299 (forall @t617 (= (= @t616 @t615) @t254))) % 34.17/36.50 (assume @p300 (forall @t620 (= (= @t619 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 @t200) @t193)) @t254))) % 34.17/36.50 (assume @p301 (forall @t30 (=> @t623 (forall @t622 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t592) @t621)) @t449))))) % 34.17/36.50 (assume @p302 (forall @t30 (=> @t623 (forall @t625 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t596) @t624)) @t449))))) % 34.17/36.50 (assume @p303 (forall @t15 (=> @t628 (forall @t355 (=> @t363 @t627))))) % 34.17/36.50 (assume @p304 (forall @t15 (=> @t628 (forall @t355 (=> @t363 @t630))))) % 34.17/36.50 (assume @p305 (forall @t15 (=> @t628 (forall @t634 (=> @t363 (=> @t633 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t626 @t632)))))))) % 34.17/36.50 (assume @p306 (forall @t15 (=> @t636 (forall @t635 (=> @t627 @t363))))) % 34.17/36.50 (assume @p307 (forall @t15 (=> @t636 (forall @t355 (=> @t630 @t363))))) % 34.17/36.50 (assume @p308 (forall @t15 (=> @t641 (forall @t640 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t56 @t639) @t351) @t359))))) % 34.17/36.50 (assume @p309 (forall @t15 (=> @t641 (forall @t640 (= (tptp.hAPP @t1 @t1 @t642 @t351) @t359))))) % 34.17/36.50 (assume @p310 (forall @t217 (= @t644 @t643))) % 34.17/36.50 (assume @p311 (forall @t217 (= @t645 @t643))) % 34.17/36.50 (assume @p312 (forall @t217 (= @t645 @t644))) % 34.17/36.50 (assume @p313 (forall @t192 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t190 @t608)))) % 34.17/36.50 (assume @p314 (forall @t192 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t190 @t606)))) % 34.17/36.50 (assume @p315 (forall @t239 (= @t238 (exists @t648 (= @t200 @t647))))) % 34.17/36.50 (assume @p316 (forall @t617 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t616) @t615)) @t238))) % 34.17/36.50 (assume @p317 (forall @t651 (=> @t223 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t220 @t650))))) % 34.17/36.50 (assume @p318 (forall @t651 (=> @t223 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t220 @t652))))) % 34.17/36.50 (assume @p319 (forall @t224 (=> @t223 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t656 @t653))))) % 34.17/36.50 (assume @p320 (forall @t659 (=> @t223 (=> @t658 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t656 @t657)))))) % 34.17/36.50 (assume @p321 (forall @t662 (=> @t661 @t253))) % 34.17/36.50 (assume @p322 (forall @t662 (=> @t661 @t216))) % 34.17/36.50 (assume @p323 (forall @t662 (=> @t661 (not (=> @t216 (not @t253)))))) % 34.17/36.50 (assume @p324 (forall @t217 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t608) @t182) @t183))) % 34.17/36.50 (assume @p325 (forall @t192 (= (tptp.hAPP tptp.nat tptp.nat @t663 @t182) @t183))) % 34.17/36.50 (assume @p326 (forall @t228 (= @t227 (tptp.hAPP tptp.nat tptp.nat @t225 @t653)))) % 34.17/36.50 (assume @p327 (forall @t667 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t666) @t665) @t186))) % 34.17/36.50 (assume @p328 (forall @t662 (= (tptp.hAPP tptp.nat tptp.nat @t668 @t613) @t186))) % 34.17/36.50 (assume @p329 (forall @t672 (=> @t671 (= (tptp.hAPP tptp.nat tptp.nat @t225 @t670) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t655) @t221))))) % 34.17/36.50 (assume @p330 (forall (@list @t674 @t193 @t321) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t677) @t321)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t675 @t673))))) % 34.17/36.50 (assume @p331 (forall @t662 (=> @t253 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t215 (tptp.hAPP tptp.nat tptp.nat @t663 @t218)))))) % 34.17/36.50 (assume @p332 (forall @t192 (=> @t191 @t678))) % 34.17/36.50 (assume @p333 (forall @t672 (=> @t671 (= @t681 @t680)))) % 34.17/36.50 (assume @p334 (forall (@list @t321 @t193 @t674) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t247 @t674)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t682 @t677)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t673) @t674)))))) % 34.17/36.50 (assume @p335 (forall @t192 (=> @t191 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 @t186) @t182) @t183)))) % 34.17/36.50 (assume @p336 (forall (@list @t193 @t321 @t674) (=> @t684 (= (= @t683 @t193) (= @t674 (tptp.hAPP tptp.nat tptp.nat @t614 @t321)))))) % 34.17/36.50 (assume @p337 (forall @t672 (=> @t671 (= @t680 @t681)))) % 34.17/36.50 (assume @p338 (forall @t672 (=> @t671 (= @t687 @t686)))) % 34.17/36.50 (assume @p339 (forall @t672 (=> @t671 (= @t686 @t687)))) % 34.17/36.50 (assume @p340 (forall @t213 (= @t212 @t688))) % 34.17/36.50 (assume @p341 (forall @t213 (= @t212 (tptp.hAPP tptp.nat tptp.nat @t605 @t565)))) % 34.17/36.50 (assume @p342 (forall @t560 (=> @t580 (=> @t132 (=> @t167 (= @t570 @t561)))))) % 34.17/36.50 (assume @p343 (forall @t691 (=> @t671 (= (tptp.hAPP tptp.nat tptp.nat @t185 @t690) (tptp.hAPP tptp.nat tptp.nat @t668 @t689))))) % 34.17/36.50 (assume @p344 (forall @t691 (=> @t671 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t690) @t183) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t689) @t666))))) % 34.17/36.50 (assume @p345 (forall @t165 (=> @t132 (=> @t168 (= @t164 (tptp.hAPP tptp.nat tptp.nat @t578 @t144)))))) % 34.17/36.50 (assume @p346 (forall (@list @t3 @t435 @t135 @t145 @t134) (=> @t580 (=> (forall @t574 (= (tptp.hAPP @t3 @t3 @t135 @t573) (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t145 (tptp.hAPP @t3 @t3 @t135 @t282)) (tptp.hAPP @t3 @t3 @t135 @t572)))) (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t435)) (=> (not (= @t692 @t466)) (= (tptp.hAPP @t3 @t3 @t135 (tptp.hAPP @t28 @t3 @t134 @t435)) (tptp.hAPP @t28 @t3 @t134 (tptp.hAPP @t28 @t28 (tptp.hAPP @t36 @t100 @t418 @t135) @t435))))))))) % 34.17/36.50 (assume @p347 (forall @t695 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t693 @t371)) @t694))) % 34.17/36.50 (assume @p348 (forall @t373 (=> @t696 @t694))) % 34.17/36.50 (assume @p349 (forall (@list @t3 @t129 @t291) (and (=> @t698 (= @t697 @t297)) (=> (not @t698) (= @t697 (tptp.hAPP @t28 @t3 @t72 (tptp.hAPP @t28 @t28 @t285 (tptp.hAPP @t28 @t28 @t469 @t499)))))))) % 34.17/36.50 (assume @p350 (forall @t30 (tptp.hBOOL (tptp.hAPP @t104 tptp.bool @t700 (tptp.hAPP @t382 @t104 (tptp.hAPP @t699 (tptp.fun @t382 @t104) (tptp.combb @t28 @t100 @t3) (tptp.hAPP @t699 @t699 (tptp.combc @t28 @t28 @t28) @t468)) @t581))))) % 34.17/36.50 (assume @p351 (forall (@list @t3 @t161 @t338 @t171) (and (=> @t702 (= @t342 @t701)) (=> @t703 (= @t341 @t701))))) % 34.17/36.50 (assume @p352 (forall @t467 (= (tptp.hAPP @t28 @t3 @t72 @t384) @t312))) % 34.17/36.50 (assume @p353 (forall (@list @t3 @t2 @t161 @t405 @t145) (=> (tptp.hBOOL (tptp.hAPP @t25 tptp.bool @t23 @t145)) (= (tptp.hAPP @t2 @t2 @t704 @t705) @t705)))) % 34.17/36.50 (assume @p354 (forall @t30 (tptp.hBOOL (tptp.hAPP @t104 tptp.bool @t700 @t103)))) % 34.17/36.50 (assume @p355 (forall @t551 (= (tptp.hAPP @t28 @t3 @t72 (tptp.hAPP @t3 @t28 @t381 @t161)) @t342))) % 34.17/36.50 (assume @p356 (forall @t516 (=> @t514 (=> @t709 @t707)))) % 34.17/36.50 (assume @p357 (forall @t392 (=> @t712 @t710))) % 34.17/36.50 (assume @p358 (forall @t387 (=> @t712 (=> @t514 @t707)))) % 34.17/36.50 (assume @p359 (forall @t516 (=> @t514 (=> @t709 @t710)))) % 34.17/36.50 (assume @p360 (forall (@list @t3 @t338 @t161 @t129) (=> @t132 (=> @t167 (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t3 @t29 @t119 @t338) @t129)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 (tptp.hAPP @t28 tptp.nat @t143 (tptp.hAPP @t28 @t28 (tptp.hAPP @t28 @t100 @t468 @t490) (tptp.hAPP @t28 @t28 @t393 @t466)))) @t144))))))) % 34.17/36.50 (assume @p361 (forall @t165 (=> @t132 (=> @t167 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t519) @t144)))))) % 34.17/36.50 (assume @p362 (forall @t213 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t714 @t212)))) % 34.17/36.50 (assume @p363 (forall @t217 (=> @t718 @t716))) % 34.17/36.50 (assume @p364 (forall @t199 (tptp.hBOOL (tptp.hAPP @t149 tptp.bool @t198 (tptp.hAPP @t149 @t149 @t197 (tptp.hAPP tptp.nat @t149 @t719 @t193)))))) % 34.17/36.50 (assume @p365 (forall @t213 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t714 @t182))))) % 34.17/36.50 (assume @p366 (forall @t239 (= @t724 (or @t723 @t721)))) % 34.17/36.50 (assume @p367 (forall @t208 (=> (not @t207) (=> (not @t726) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t205) @t206)))))) % 34.17/36.50 (assume @p368 (forall @t192 (=> @t728 @t727))) % 34.17/36.50 (assume @p369 (forall (@list @t730 @t729) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t730) @t729)) (not (= @t730 @t729))))) % 34.17/36.50 (assume @p370 (forall (@list @t171 @t232 @t200) (=> (=> @t723 @t731) (=> (=> @t254 @t731) (=> (=> @t721 @t731) @t731))))) % 34.17/36.50 (assume @p371 (forall @t15 (=> @t333 (forall @t332 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t732 @t206))))))) % 34.17/36.50 (assume @p372 (forall @t30 (=> @t737 (forall @t344 (= @t736 (or @t735 @t734)))))) % 34.17/36.50 (assume @p373 (forall @t30 (=> @t737 (forall @t344 (= @t738 (or @t734 @t343)))))) % 34.17/36.50 (assume @p374 (forall @t15 (=> @t337 (forall @t208 (or @t741 @t370 @t740))))) % 34.17/36.50 (assume @p375 (forall @t30 (=> @t737 (forall @t346 (=> (not @t734) @t742))))) % 34.17/36.50 (assume @p376 (forall @t15 (=> @t337 @t745))) % 34.17/36.50 (assume @p377 (forall @t15 (=> @t361 (forall @t208 (=> @t741 @t744))))) % 34.17/36.50 (assume @p378 (forall @t15 (=> @t333 (forall @t208 (=> @t741 (not @t740)))))) % 34.17/36.50 (assume @p379 (forall @t15 (=> @t361 (forall @t208 (=> @t741 (not (= @t368 @t369))))))) % 34.17/36.50 (assume @p380 (forall @t30 (=> @t747 (forall @t746 (=> @t735 (=> @t734 @t702)))))) % 34.17/36.50 (assume @p381 (forall @t15 (=> @t333 (forall @t640 (=> @t751 (not @t749)))))) % 34.17/36.50 (assume @p382 (forall @t15 (=> @t361 (forall @t752 (=> @t749 (not @t751)))))) % 34.17/36.50 (assume @p383 (forall @t15 (=> @t96 (forall @t355 (=> @t354 (=> @t754 @t753)))))) % 34.17/36.50 (assume @p384 (forall @t15 (=> @t361 (forall @t355 (=> @t360 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t755 @t351)) @t756)))))) % 34.17/36.50 (assume @p385 (forall @t15 (=> @t96 (forall @t355 (=> @t751 (=> @t362 @t753)))))) % 34.17/36.50 (assume @p386 (forall @t15 (=> @t361 (forall @t367 (=> @t749 (=> @t365 @t756)))))) % 34.17/36.50 (assume @p387 (forall @t15 (=> @t333 (forall @t373 (=> @t741 @t758))))) % 34.17/36.50 (assume @p388 (forall @t15 (=> @t361 (forall @t377 (=> @t740 @t761))))) % 34.17/36.50 (assume @p389 (forall @t15 (=> @t337 (forall @t208 (=> @t743 (=> @t744 @t740)))))) % 34.17/36.50 (assume @p390 (forall @t30 (=> @t737 (forall @t344 (= @t738 @t339))))) % 34.17/36.50 (assume @p391 (forall @t30 (=> @t737 (forall @t344 (= (not @t340) @t734))))) % 34.17/36.50 (assume @p392 (forall @t15 (=> @t337 (forall @t208 (or @t336 @t740))))) % 34.17/36.50 (assume @p393 (forall @t30 (=> @t281 (forall @t344 (= @t735 (and @t340 @t736)))))) % 34.17/36.50 (assume @p394 (forall @t30 (=> @t747 (forall @t344 (= @t735 (and @t340 (not @t339))))))) % 34.17/36.50 (assume @p395 (forall @t30 (=> @t281 (forall @t344 (= @t340 (or @t735 @t343)))))) % 34.17/36.50 (assume @p396 (forall @t15 (=> @t337 (forall @t208 (=> @t743 @t335))))) % 34.17/36.50 (assume @p397 (forall @t15 (=> @t337 (forall @t374 (=> (not @t335) @t741))))) % 34.17/36.50 (assume @p398 (forall @t30 (=> @t737 (forall @t344 (=> @t738 @t345))))) % 34.17/36.50 (assume @p399 (forall @t15 (=> @t361 (forall @t640 (=> @t762 (=> @t363 @t751)))))) % 34.17/36.50 (assume @p400 (forall @t15 (=> @t361 (forall @t640 (=> @t762 (=> @t366 @t749)))))) % 34.17/36.50 (assume @p401 (forall @t15 (=> @t337 (forall @t374 (=> @t335 @t743))))) % 34.17/36.50 (assume @p402 (forall @t15 (=> @t333 (forall @t208 (=> @t741 @t336))))) % 34.17/36.50 (assume @p403 (forall @t30 (=> @t737 (forall @t344 (=> @t340 @t742))))) % 34.17/36.50 (assume @p404 (forall @t15 (=> @t361 (forall @t208 (=> @t336 (or @t741 @t370)))))) % 34.17/36.50 (assume @p405 (forall @t15 (=> @t361 (forall @t640 (=> @t363 (=> @t762 @t751)))))) % 34.17/36.50 (assume @p406 (forall @t15 (=> @t361 (forall @t752 (=> @t366 (=> @t762 @t749)))))) % 34.17/36.50 (assume @p407 (forall @t15 (=> @t333 (forall @t373 (=> @t741 (=> @t372 @t757)))))) % 34.17/36.50 (assume @p408 (forall @t15 (=> @t361 (forall @t377 (=> @t740 (=> @t376 @t760)))))) % 34.17/36.50 (assume @p409 (forall @t15 (=> @t333 (forall @t373 (=> @t336 @t758))))) % 34.17/36.50 (assume @p410 (forall @t15 (=> @t361 (forall @t377 (=> @t335 @t761))))) % 34.17/36.50 (assume @p411 (forall @t30 (=> @t623 (forall @t622 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t592) @t621)) @t764))))) % 34.17/36.50 (assume @p412 (forall @t30 (=> @t623 (forall @t625 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t596) @t624)) @t764))))) % 34.17/36.50 (assume @p413 (forall @t15 (=> @t767 (forall @t355 (=> @t751 @t766))))) % 34.17/36.50 (assume @p414 (forall @t15 (=> @t767 (forall @t355 (=> @t751 @t768))))) % 34.17/36.50 (assume @p415 (forall @t15 (=> @t767 (forall @t634 (=> @t751 @t771))))) % 34.17/36.50 (assume @p416 (forall @t15 (=> @t636 (forall @t635 (=> @t766 @t751))))) % 34.17/36.50 (assume @p417 (forall @t15 (=> @t636 (forall @t355 (=> @t768 @t751))))) % 34.17/36.50 (assume @p418 (forall @t15 (=> @t510 (forall @t509 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t750 @t508))))))) % 34.17/36.50 (assume @p419 (forall @t30 (=> @t92 (forall @t512 (= (not @t511) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t91) @t138))))))) % 34.17/36.50 (assume @p420 (forall @t30 (=> @t454 (forall @t453 (=> @t452 (= @t764 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t772 @t446)))))))) % 34.17/36.50 (assume @p421 (forall @t239 (= (not @t723) @t773))) % 34.17/36.50 (assume @p422 (forall @t239 (= @t775 @t774))) % 34.17/36.50 (assume @p423 (forall @t239 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t234) @t201)) @t723))) % 34.17/36.50 (assume @p424 (forall @t236 (=> (not @t721) @t776))) % 34.17/36.50 (assume @p425 (forall @t192 (=> (not @t728) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t714 @t187)) @t214)))) % 34.17/36.50 (assume @p426 (forall @t217 (=> @t718 @t777))) % 34.17/36.50 (assume @p427 (forall @t217 (=> @t718 (=> (not (= @t187 @t182)) @t778)))) % 34.17/36.50 (assume @p428 (forall @t224 (=> @t783 (=> @t781 @t780)))) % 34.17/36.50 (assume @p429 (forall @t217 (=> @t777 (=> @t784 @t214)))) % 34.17/36.50 (assume @p430 (forall @t217 (=> @t778 @t718))) % 34.17/36.50 (assume @p431 (forall @t217 (=> @t716 @t718))) % 34.17/36.50 (assume @p432 (forall @t786 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t785 @t219))))) % 34.17/36.50 (assume @p433 (forall (@list @t221 @t219) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t685) @t219))))) % 34.17/36.50 (assume @p434 (forall @t617 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t616) @t615)) @t723))) % 34.17/36.50 (assume @p435 (forall @t651 (=> @t783 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t782 @t650))))) % 34.17/36.50 (assume @p436 (forall @t651 (=> @t783 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t782 @t652))))) % 34.17/36.50 (assume @p437 (forall @t224 (=> @t783 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t787 @t653))))) % 34.17/36.50 (assume @p438 (forall @t659 (=> @t783 (=> @t788 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t787 @t657)))))) % 34.17/36.50 (assume @p439 (forall (@list @t183 @t182 @t218 @t256) (=> @t788 (=> (= (tptp.hAPP tptp.nat tptp.nat @t607 @t256) @t665) @t718)))) % 34.17/36.50 (assume @p440 (forall @t228 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t785 @t218)) @t789))) % 34.17/36.50 (assume @p441 (forall @t373 (=> @t726 @t790))) % 34.17/36.50 (assume @p442 (forall @t695 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t725 @t371)) @t790))) % 34.17/36.50 (assume @p443 (forall @t239 (= @t723 (and @t238 @t724)))) % 34.17/36.50 (assume @p444 (forall @t239 (= @t238 @t774))) % 34.17/36.50 (assume @p445 (forall @t217 (=> @t718 @t216))) % 34.17/36.50 (assume @p446 (forall @t217 (=> @t216 (=> @t727 @t718)))) % 34.17/36.50 (assume @p447 (forall @t217 (=> (or @t718 @t214) @t216))) % 34.17/36.50 (assume @p448 (forall @t208 (=> @t726 @t696))) % 34.17/36.50 (assume @p449 (forall (@list @t182 @t221 @t218) (=> @t781 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 (tptp.hAPP tptp.nat tptp.nat @t669 @t182)) @t218))))) % 34.17/36.50 (assume @p450 (forall @t257 (=> @t718 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t717 @t256)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t260) @t259)))))) % 34.17/36.50 (assume @p451 (forall @t440 (= @t439 (exists @t330 (forall @t289 (=> @t438 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t791 @t327)))))))) % 34.17/36.50 (assume @p452 (forall (@list @t3 @t129 @t145 @t200) (=> (= @t159 (tptp.hAPP @t149 @t28 (tptp.hAPP @t82 @t794 @t793 @t145) @t792)) @t132))) % 34.17/36.50 (assume @p453 (forall @t203 (= (tptp.hAPP @t149 tptp.nat @t202 @t792) @t200))) % 34.17/36.50 (assume @p454 (forall (@list @t171 @t321) (tptp.hBOOL (tptp.hAPP @t149 tptp.bool @t198 (tptp.hAPP @t149 @t149 @t197 (tptp.hAPP @t149 @t149 (tptp.hAPP @t796 @t455 @t798 (tptp.hAPP @t149 @t796 @t797 @t171)) @t795)))))) % 34.17/36.50 (assume @p455 (forall @t15 (=> @t767 (forall @t634 (=> @t751 (=> @t633 @t769)))))) % 34.17/36.50 (assume @p456 (forall @t15 (=> @t767 (forall @t634 (=> @t363 @t771))))) % 34.17/36.50 (assume @p457 (forall @t799 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t782 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t654 @t183)))))) % 34.17/36.50 (assume @p458 (forall @t799 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t782 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t607 @t219)))))) % 34.17/36.50 (assume @p459 (forall @t239 (= @t723 (exists @t648 (= @t200 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t647)))))) % 34.17/36.50 (assume @p460 (forall @t236 (= @t721 @t240))) % 34.17/36.50 (assume @p461 (forall @t239 (= @t775 @t238))) % 34.17/36.50 (assume @p462 (forall @t239 (= @t456 @t723))) % 34.17/36.50 (assume @p463 (forall @t217 (=> @t216 @t777))) % 34.17/36.50 (assume @p464 (forall @t217 (=> @t718 @t230))) % 34.17/36.50 (assume @p465 (forall @t239 (=> @t238 @t776))) % 34.17/36.50 (assume @p466 (forall @t217 (=> @t230 @t718))) % 34.17/36.50 (assume @p467 (forall @t217 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t800 @t187)))) % 34.17/36.50 (assume @p468 (forall (@list @t321 @t674 @t193) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t321) @t677)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t673) @t674))))) % 34.17/36.50 (assume @p469 (forall @t217 (=> @t784 @t678))) % 34.17/36.50 (assume @p470 (forall @t355 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t348) @t351)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t347) @t348)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t348) @t347)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t351) @t347))))))) % 34.17/36.50 (assume @p471 (forall @t250 (=> @t249 (=> @t248 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t246) @t244)) @t723))))) % 34.17/36.50 (assume @p472 (forall @t289 (= @t791 (tptp.hAPP tptp.nat @t149 @t148 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t282))))) % 34.17/36.50 (assume @p473 (forall (@list @t232 @t193 @t145) (=> (forall @t801 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t327) @t275)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 (tptp.hAPP tptp.nat tptp.nat @t145 @t327)) @t550)))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 (tptp.hAPP tptp.nat tptp.nat @t145 @t232)) @t193)) (tptp.hAPP tptp.nat tptp.nat @t145 @t619)))))) % 34.17/36.50 (assume @p474 (forall (@list @t171 @t321 @t674) (=> @t684 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t171 @t674)) (=> (forall @t805 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t804 @t674)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t171 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t802))) @t803))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t171 @t321))))))) % 34.17/36.50 (assume @p475 (forall @t217 (=> @t718 (exists @t648 (= @t182 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t607 @t646))))))) % 34.17/36.50 (assume @p476 (forall @t30 (=> @t281 (forall (@list @t200 @t232 @t145) (=> @t807 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t806 (tptp.hAPP tptp.nat @t3 @t145 @t232))) @t721)))))) % 34.17/36.50 (assume @p477 (forall @t30 (=> @t281 (forall @t280 (=> @t807 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t720 @t271)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t806 @t272)))))))) % 34.17/36.50 (assume @p478 (forall @t15 (=> @t810 (forall @t509 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t750 @t809)))))) % 34.17/36.50 (assume @p479 (forall @t26 (=> @t426 (forall @t425 (= (tptp.hBOOL (tptp.hAPP @t8 tptp.bool (tptp.hAPP @t8 @t423 (tptp.ord_less @t8) @t145) @t388)) (and @t424 (not (tptp.hBOOL (tptp.hAPP @t8 tptp.bool (tptp.hAPP @t8 @t423 @t422 @t388) @t145))))))))) % 34.17/36.50 (assume @p480 (forall @t133 (not (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t812 @t466))))) % 34.17/36.50 (assume @p481 (forall @t403 (=> @t155 @t814))) % 34.17/36.50 (assume @p482 (forall @t403 (=> @t815 (=> @t402 @t813)))) % 34.17/36.50 (assume @p483 (forall @t157 (=> @t815 @t155))) % 34.17/36.50 (assume @p484 (forall @t157 (= @t155 (or @t815 @t160)))) % 34.17/36.50 (assume @p485 (forall @t157 (= @t815 (and @t155 (not @t160))))) % 34.17/36.50 (assume @p486 (forall @t157 (=> @t156 (=> @t815 @t816)))) % 34.17/36.50 (assume @p487 (forall @t15 (=> @t817 @t745))) % 34.17/36.50 (assume @p488 (forall @t492 (= (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t812 @t395)) (and (=> @t396 @t815) (=> @t397 (and (=> @t167 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t811 @t490) @t151))) @t493)))))) % 34.17/36.50 (assume @p489 (forall @t157 (=> @t156 (=> @t155 (=> @t816 @t815))))) % 34.17/36.50 (assume @p490 (forall @t133 (= @t132 (exists (@list @t275 @t818) (= @t159 (tptp.hAPP @t149 @t28 (tptp.hAPP @t82 @t794 @t793 @t818) (tptp.hAPP @t149 @t149 @t197 (tptp.hAPP tptp.nat @t149 @t719 @t275)))))))) % 34.17/36.50 (assume @p491 (forall (@list @t200 @t435) (=> (forall @t289 (=> @t438 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t791 @t200)))) @t439))) % 34.17/36.50 (assume @p492 (forall (@list @t321 @t674 @t145) (=> (forall (@list @t802 @t819) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t804 @t819)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 (tptp.hAPP tptp.nat tptp.nat @t145 @t802)) (tptp.hAPP tptp.nat tptp.nat @t145 @t819))))) (=> @t684 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 (tptp.hAPP tptp.nat tptp.nat @t145 @t321)) (tptp.hAPP tptp.nat tptp.nat @t145 @t674))))))) % 34.17/36.50 (assume @p493 (forall @t823 (=> @t789 (=> (not (= @t218 @t779)) @t822)))) % 34.17/36.50 (assume @p494 (forall @t823 (=> @t780 @t822))) % 34.17/36.50 (assume @p495 (forall @t307 (=> @t815 @t306))) % 34.17/36.50 (assume @p496 (forall @t403 (=> @t815 @t814))) % 34.17/36.50 (assume @p497 (forall @t157 (=> @t815 (exists (@list @t824) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t825 (tptp.hAPP @t28 @t28 @t497 @t129))))))) % 34.17/36.50 (assume @p498 (forall @t479 (=> (and @t281 @t426) (forall @t832 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t831) @t138)) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t830 @t291)) (=> (forall @t574 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t829 @t572) @t282)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t828) @t404)))) @t827))))))) % 34.17/36.50 (assume @p499 (forall @t479 (=> @t835 (forall @t832 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t831) @t138)) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t833 @t291)) (=> (forall @t574 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t419 @t572) @t282)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t828) @t404)))) @t827))))))) % 34.17/36.50 (assume @p500 (forall @t26 (=> @t838 (forall @t837 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t448 @t831)) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t829 @t291) @t302)) (=> (forall @t574 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t829 @t282) @t572)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t404) @t828)))) @t836))))))) % 34.17/36.50 (assume @p501 (forall @t26 (=> @t838 (forall @t837 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t763 @t831)) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t419 @t291) @t302)) (=> (forall @t574 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t419 @t282) @t572)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t404) @t828)))) @t836))))))) % 34.17/36.50 (assume @p502 (forall @t15 (=> @t841 (forall (@list @t371 @t205) (=> (forall @t289 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t840 @t205)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t839 @t371)))) @t372))))) % 34.17/36.50 (assume @p503 (forall @t15 (=> @t841 (forall @t373 (=> @t741 (=> (forall (@list @t842) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t732 @t842)) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t93 @t842) @t205)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 @t842) @t371))))) @t372)))))) % 34.17/36.50 (assume @p504 (forall @t479 (=> @t835 (forall @t832 (=> @t847 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t833 @t846)) (=> (forall @t574 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t572) @t282)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t829 @t845) @t283)))) @t844))))))) % 34.17/36.50 (assume @p505 (forall @t479 (=> @t835 (forall @t832 (=> @t849 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t830 @t846)) (=> (forall @t574 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t572) @t282)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t419 @t845) @t283)))) @t844))))))) % 34.17/36.50 (assume @p506 (forall @t26 (=> @t838 (forall @t851 (=> @t449 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t829 @t846) @t302)) (=> (forall @t574 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t282) @t572)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t420 @t845)))) @t850))))))) % 34.17/36.50 (assume @p507 (forall @t26 (=> @t838 (forall @t851 (=> @t764 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t419 @t846) @t302)) (=> (forall @t574 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t282) @t572)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t829 @t283) @t845)))) @t850))))))) % 34.17/36.50 (assume @p508 (forall @t855 (=> @t132 (=> @t261 @t854)))) % 34.17/36.50 (assume @p509 (forall (@list @t2 @t3 @t145 @t388 @t856 @t435) (=> (= (tptp.ti @t28 @t856) @t692) (=> (forall @t289 (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t287 @t435)) @t390)) (= (tptp.hAPP @t28 @t21 @t146 @t856) (tptp.hAPP @t28 @t21 (tptp.hAPP @t8 @t102 @t101 @t388) @t435)))))) % 34.17/36.50 (assume @p510 (forall @t858 (=> @t857 @t261))) % 34.17/36.50 (assume @p511 (forall @t858 (=> @t857 @t132))) % 34.17/36.50 (assume @p512 (forall @t855 (=> @t132 (=> @t261 @t857)))) % 34.17/36.50 (assume @p513 (forall @t858 (= @t857 @t859))) % 34.17/36.50 (assume @p514 (forall (@list @t2 @t3 @t129 @t151) (= (= @t852 (tptp.bot_bot @t108)) (and @t473 (= (tptp.ti @t21 @t151) @t506))))) % 34.17/36.50 (assume @p515 (forall @t855 (and (=> @t859 @t854) (=> (not @t859) (= @t853 @t860))))) % 34.17/36.50 (assume @p516 (forall (@list @t3 @t862 @t861) (= (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t130 (tptp.hAPP @t28 @t28 @t285 @t862)) (tptp.hAPP @t28 @t28 @t285 @t861))) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t130 @t862) @t861))))) % 34.17/36.50 (assume @p517 (forall @t181 (=> (forall @t289 (=> @t474 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t170 @t282)))) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t130 @t179) @t177))))) % 34.17/36.50 (assume @p518 (forall @t213 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t714 @t860))))) % 34.17/36.50 (assume @p519 (forall @t213 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t860) @t182)))) % 34.17/36.50 (assume @p520 (forall @t213 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t863 @t212)))) % 34.17/36.50 (assume @p521 (forall @t203 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t233 @t860)) @t864))) % 34.17/36.50 (assume @p522 (forall @t217 (=> @t865 (=> (= (tptp.hAPP tptp.nat tptp.nat @t251 @t183) @t860) @t214)))) % 34.17/36.50 (assume @p523 (forall @t866 (= (tptp.hAPP tptp.nat tptp.nat @t185 @t183) @t860))) % 34.17/36.50 (assume @p524 (forall @t866 (= (tptp.hAPP tptp.nat tptp.nat @t185 @t860) @t183))) % 34.17/36.50 (assume @p525 (forall @t213 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t860) @t182) @t860))) % 34.17/36.50 (assume @p526 (forall @t15 (=> @t868 (not (= @t808 @t867))))) % 34.17/36.50 (assume @p527 (forall @t15 (=> @t868 (not (= @t867 @t808))))) % 34.17/36.50 (assume @p528 (forall @t15 (=> @t870 @t869))) % 34.17/36.50 (assume @p529 (forall @t15 (=> @t59 @t869))) % 34.17/36.50 (assume @p530 (forall @t30 (=> @t873 (forall @t512 (= (= @t70 @t872) @t871))))) % 34.17/36.50 (assume @p531 (forall @t15 (=> @t870 @t874))) % 34.17/36.50 (assume @p532 (forall @t15 (=> @t59 @t874))) % 34.17/36.50 (assume @p533 (forall @t30 (=> (tptp.group_add @t3) (forall @t876 (= @t875 @t313))))) % 34.17/36.50 (assume @p534 (forall @t30 (=> @t528 (forall @t876 (= @t313 @t875))))) % 34.17/36.50 (assume @p535 (forall @t15 (=> @t641 (forall @t509 (= (tptp.hAPP @t1 @t1 @t638 @t348) @t867))))) % 34.17/36.50 (assume @p536 (forall @t15 (=> @t641 (forall @t509 (= (tptp.hAPP @t1 @t1 @t638 @t867) @t359))))) % 34.17/36.50 (assume @p537 (forall @t30 (=> @t71 (forall @t478 (= (= @t70 @t342) @t877))))) % 34.17/36.50 (assume @p538 (= (tptp.bot_bot tptp.nat) @t860)) % 34.17/36.50 (assume @p539 (forall @t217 (=> (= @t608 @t183) @t878))) % 34.17/36.50 (assume @p540 (forall @t239 (= (= @t880 @t860) (and @t879 @t864)))) % 34.17/36.50 (assume @p541 (forall @t866 (= (tptp.hAPP tptp.nat tptp.nat @t607 @t860) @t183))) % 34.17/36.50 (assume @p542 (forall @t213 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 @t860) @t182) @t182))) % 34.17/36.50 (assume @p543 (forall @t213 (=> @t882 @t881))) % 34.17/36.50 (assume @p544 (forall @t217 (=> @t718 @t882))) % 34.17/36.50 (assume @p545 (forall @t203 (= (not @t864) @t883))) % 34.17/36.50 (assume @p546 (forall @t866 (not (= @t187 @t860)))) % 34.17/36.50 (assume @p547 (forall @t866 (not (= @t860 @t187)))) % 34.17/36.50 (assume @p548 (forall (@list @t884) (not (= (tptp.hAPP tptp.nat tptp.nat tptp.suc @t884) @t860)))) % 34.17/36.50 (assume @p549 (forall (@list @t885) (not (= @t860 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t885))))) % 34.17/36.50 (assume @p550 (forall (@list @t3 @t523 @t522) (= (tptp.hAPP tptp.nat @t3 @t524 @t860) (tptp.ti @t3 @t523)))) % 34.17/36.50 (assume @p551 (forall @t30 (=> @t873 (forall @t512 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t886 @t872)) @t887))))) % 34.17/36.50 (assume @p552 (forall @t30 (=> @t873 (forall @t512 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t872) @t70)) @t888))))) % 34.17/36.50 (assume @p553 (forall @t15 (=> @t892 (forall @t752 (=> @t891 (=> @t890 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t889 @t586)))))))) % 34.17/36.50 (assume @p554 (forall @t30 (=> (tptp.ordere216010020id_add @t3) (forall @t346 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t886 @t161)) (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t886 @t338)) (= (= (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t60 @t161) @t338) @t70) @t894))))))) % 34.17/36.50 (assume @p555 (forall @t15 (=> @t892 (forall @t896 (=> @t891 (=> @t353 @t895)))))) % 34.17/36.50 (assume @p556 (forall @t15 (=> @t892 (forall @t604 (=> @t897 (=> @t366 @t895)))))) % 34.17/36.50 (assume @p557 (forall @t15 (=> @t892 (forall @t752 (=> @t899 (=> @t898 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 @t586) @t867)))))))) % 34.17/36.50 (assume @p558 (forall @t30 (=> @t873 (forall @t512 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t900 @t872)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t900 @t138))))))) % 34.17/36.50 (assume @p559 (forall @t30 (=> @t873 @t902))) % 34.17/36.50 (assume @p560 (forall @t15 (=> @t892 (forall @t752 (=> @t907 @t906))))) % 34.17/36.50 (assume @p561 (forall @t15 (=> @t892 (forall @t752 (=> @t911 @t910))))) % 34.17/36.50 (assume @p562 (forall @t15 (=> @t810 (forall @t896 (=> @t907 @t913))))) % 34.17/36.50 (assume @p563 (forall @t30 (=> @t454 (forall @t876 (= @t449 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t451) @t70))))))) % 34.17/36.50 (assume @p564 (forall @t30 (=> @t454 (forall @t876 (= @t764 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t451) @t70))))))) % 34.17/36.50 (assume @p565 (forall @t15 (=> @t810 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 @t808) @t867)))))) % 34.17/36.50 (assume @p566 (forall @t15 (=> @t810 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t889 @t808))))) % 34.17/36.50 (assume @p567 (forall @t15 (=> @t810 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t903 @t808))))) % 34.17/36.50 (assume @p568 (forall @t15 (=> @t810 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t914 @t867)))))) % 34.17/36.50 (assume @p569 (forall @t203 (= @t883 (exists @t330 (= @t200 @t328))))) % 34.17/36.50 (assume @p570 (forall @t203 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t720 @t915)) @t864))) % 34.17/36.50 (assume @p571 (forall @t239 (= @t775 (or @t879 (exists @t821 (and (= @t232 @t820) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t819) @t200)))))))) % 34.17/36.50 (assume @p572 (forall @t239 (= (= @t915 @t880) @t918))) % 34.17/36.50 (assume @p573 (forall @t239 (= (= @t880 @t915) @t918))) % 34.17/36.50 (assume @p574 (forall @t239 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t863 @t880)) (or @t919 @t883)))) % 34.17/36.50 (assume @p575 (forall @t30 (= (tptp.hAPP @t28 tptp.nat @t143 @t466) @t860))) % 34.17/36.50 (assume @p576 (forall @t133 @t921)) % 34.17/36.50 (assume @p577 (forall @t236 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t863 (tptp.hAPP tptp.nat tptp.nat @t243 @t232))) @t723))) % 34.17/36.50 (assume @p578 (forall @t217 (=> @t881 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t863 @t183)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t800 @t183)))))) % 34.17/36.50 (assume @p579 (forall @t192 (= (tptp.hAPP tptp.nat tptp.nat @t251 @t606) @t860))) % 34.17/36.50 (assume @p580 (forall @t239 (= (= @t922 @t860) @t238))) % 34.17/36.50 (assume @p581 (forall @t217 (=> @t216 @t865))) % 34.17/36.50 (assume @p582 (= @t565 @t915)) % 34.17/36.50 (assume @p583 (forall @t239 (= (tptp.hAPP tptp.nat tptp.nat @t245 @t201) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP @t80 @t80 (tptp.hAPP tptp.nat (tptp.fun @t80 @t80) (tptp.nat_case tptp.nat) @t860) (tptp.combi tptp.nat)) @t922)))) % 34.17/36.50 (assume @p584 (forall @t15 (=> @t892 (forall @t752 (=> @t907 (=> @t890 @t904)))))) % 34.17/36.50 (assume @p585 (forall @t15 (=> @t892 (forall @t752 (=> @t891 @t906))))) % 34.17/36.50 (assume @p586 (forall @t15 (=> @t892 (forall @t896 (=> @t907 (=> @t353 @t912)))))) % 34.17/36.50 (assume @p587 (forall @t15 (=> @t892 (forall @t896 (=> @t891 @t913))))) % 34.17/36.50 (assume @p588 (forall @t15 (=> @t892 (forall @t752 (=> @t911 (=> @t898 @t908)))))) % 34.17/36.50 (assume @p589 (forall @t15 (=> @t892 (forall @t752 (=> @t899 @t910))))) % 34.17/36.50 (assume @p590 (forall @t15 (=> @t810 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t903 @t924))))) % 34.17/36.50 (assume @p591 (forall (@list @t3 @t282) (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t466 @t282)) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t287 @t466))))) % 34.17/36.50 (assume @p592 (forall @t133 (= @t920 (or @t473 @t290)))) % 34.17/36.50 (assume @p593 (forall @t133 (=> @t925 @t132))) % 34.17/36.50 (assume @p594 (forall @t213 (=> @t881 (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t251 @t915)) @t182)))) % 34.17/36.50 (assume @p595 (forall @t255 (=> @t881 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 (tptp.hAPP tptp.nat tptp.nat @t251 @t779)) @t182))))) % 34.17/36.50 (assume @p596 (forall (@list @t3 @t170 @t171 @t161) (=> @t928 (=> @t927 @t926)))) % 34.17/36.50 (assume @p597 (forall (@list @t3 @t161 @t171 @t170) (=> @t927 (=> @t928 @t926)))) % 34.17/36.50 (assume @p598 (forall @t936 (= @t935 (and (=> @t934 @t933) (forall @t932 (=> @t931 @t930)))))) % 34.17/36.50 (assume @p599 (forall @t936 (= @t935 (not (or (and @t934 @t937) (exists @t932 (and @t931 (not @t930)))))))) % 34.17/36.50 (assume @p600 (forall @t943 (=> @t942 (= (tptp.hAPP tptp.nat tptp.nat tptp.suc @t941) @t940)))) % 34.17/36.50 (assume @p601 (forall @t943 (=> @t942 (not (= @t940 @t860))))) % 34.17/36.50 (assume @p602 (forall @t943 (=> (not @t942) (= @t941 @t940)))) % 34.17/36.50 (assume @p603 (forall @t133 (= @t925 (and @t476 @t132)))) % 34.17/36.50 (assume @p604 (forall @t213 (=> @t881 (= @t944 @t182)))) % 34.17/36.50 (assume @p605 (forall @t213 (=> @t881 (= @t182 @t944)))) % 34.17/36.50 (assume @p606 (forall @t192 (and (=> @t945 (= @t608 @t182)) (=> @t946 (= @t608 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 @t567) @t182))))))) % 34.17/36.50 (assume @p607 (forall @t950 (=> @t937 (=> @t949 (exists @t648 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t646) @t200)) (forall @t805 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t948 @t646)) @t947)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t171 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 @t646) @t565))))))))) % 34.17/36.50 (assume @p608 (forall @t955 (= @t954 @t952))) % 34.17/36.50 (assume @p609 (forall @t133 (=> @t132 (=> (=> @t477 (= @t565 @t860)) @t920)))) % 34.17/36.50 (assume @p610 (forall @t950 (=> @t937 (=> @t949 (exists @t648 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t646) @t200)) (forall @t805 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t804 @t646)) @t947)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t171 @t646)))))))) % 34.17/36.50 (assume @p611 (forall @t786 (=> @t783 (exists @t648 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t863 @t646)) (= (tptp.hAPP tptp.nat tptp.nat @t654 @t646) @t221)))))) % 34.17/36.50 (assume @p612 (forall @t213 (=> @t881 @t956))) % 34.17/36.50 (assume @p613 (forall @t30 (=> @t957 @t902))) % 34.17/36.50 (assume @p614 (forall @t30 (=> @t873 (forall @t512 @t958)))) % 34.17/36.50 (assume @p615 (forall @t955 (=> @t954 @t952))) % 34.17/36.50 (assume @p616 (forall (@list @t205) (=> (not (= @t205 @t860)) (not (forall (@list @t959) (not (= @t205 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t959)))))))) % 34.17/36.50 (assume @p617 (forall (@list @t171 @t193) (=> @t325 (=> @t324 @t933)))) % 34.17/36.50 (assume @p618 (forall @t213 (=> @t882 @t956))) % 34.17/36.50 (assume @p619 (forall @t950 (=> @t933 (=> (forall @t279 (=> @t322 @t323)) @t949)))) % 34.17/36.50 (assume @p620 (forall @t15 (=> @t960 @t874))) % 34.17/36.50 (assume @p621 (forall @t15 (=> @t960 (forall @t963 (= (tptp.hAPP @t1 @t1 @t587 @t962) (tptp.hAPP @t1 @t1 @t961 @t632)))))) % 34.17/36.50 (assume @p622 (forall @t15 (=> @t960 (forall @t589 (= @t588 (tptp.hAPP @t1 @t1 @t961 @t351)))))) % 34.17/36.50 (assume @p623 (forall @t15 (=> @t960 @t590))) % 34.17/36.50 (assume @p624 (forall @t15 (=> @t960 (forall @t965 (= @t964 (tptp.hAPP @t1 @t1 @t961 @t631)))))) % 34.17/36.50 (assume @p625 (forall @t15 (=> @t960 (forall @t965 (= @t964 (tptp.hAPP @t1 @t1 @t602 (tptp.hAPP @t1 @t1 @t585 @t631))))))) % 34.17/36.50 (assume @p626 (forall @t15 (=> @t960 (forall (@list @t348 @t347) (= @t599 @t603))))) % 34.17/36.50 (assume @p627 (forall @t30 (=> @t967 (forall @t966 (= (= @t297 @t598) @t871))))) % 34.17/36.50 (assume @p628 (forall @t15 (=> @t960 @t869))) % 34.17/36.50 (assume @p629 (forall @t15 (=> (tptp.linordered_field @t1) (forall @t208 (=> (forall (@list @t968) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t903 @t968)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t331 (tptp.hAPP @t1 @t1 @t969 @t968))))) @t336))))) % 34.17/36.50 (assume @p630 (forall @t133 @t974)) % 34.17/36.50 (assume @p631 (forall @t133 (and @t974 @t921))) % 34.17/36.50 (assume @p632 (forall (@list @t2 @t3 @t145 @t388 @t405) (= (tptp.hAPP @t21 @t3 @t975 @t506) @t406))) % 34.17/36.50 (assume @p633 (forall @t576 (=> @t563 (=> @t458 (= @t457 (tptp.hAPP @t21 @t3 @t975 @t129)))))) % 34.17/36.50 (assume @p634 (forall @t30 (=> @t957 (forall @t512 (=> @t977 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t976) @t70)) @t901)))))) % 34.17/36.50 (assume @p635 (forall @t981 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t863 @t980)) (= @t980 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t980) @t565)))))) % 34.17/36.50 (assume @p636 (forall @t15 (=> (tptp.linord626643107strict @t1) (forall @t987 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t732 @t348)) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t739 @t348)) (=> @t986 (=> @t985 (=> @t984 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t93 @t983) @t348))))))))))) % 34.17/36.50 (assume @p637 (forall @t30 (=> @t79 (forall @t966 (=> @t977 (=> @t988 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t3 @t29 @t119 @t451) @t78)))))))) % 34.17/36.50 (assume @p638 (forall @t15 (=> @t69 @t989))) % 34.17/36.50 (assume @p639 (forall @t15 (=> @t69 @t991))) % 34.17/36.50 (assume @p640 (forall @t30 (=> (tptp.ring_n68954251visors @t3) (forall @t876 (= (= @t994 @t70) (or @t871 (= @t297 @t70))))))) % 34.17/36.50 (assume @p641 (forall @t15 (=> @t68 (forall @t752 (=> (not @t998) (=> (not @t997) (not @t996))))))) % 34.17/36.50 (assume @p642 (forall @t15 (=> @t68 (forall @t640 (=> @t996 (or @t998 @t997)))))) % 34.17/36.50 (assume @p643 (forall @t213 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t999 @t860) @t182) @t860))) % 34.17/36.50 (assume @p644 (forall @t866 (= (tptp.hAPP tptp.nat tptp.nat @t1000 @t860) @t860))) % 34.17/36.50 (assume @p645 (forall @t239 (= (= @t1002 @t860) (or @t879 @t864)))) % 34.17/36.50 (assume @p646 (forall @t617 (= @t1007 @t1003))) % 34.17/36.50 (assume @p647 (forall @t620 (= (= @t1009 @t1008) @t1003))) % 34.17/36.50 (assume @p648 (forall @t30 (=> (tptp.ab_sem1668676832m_mult @t3) (tptp.hBOOL (tptp.hAPP @t37 tptp.bool (tptp.finite_comp_fun_idem @t3 @t3) @t992))))) % 34.17/36.50 (assume @p649 (forall @t15 (=> (tptp.comm_semiring @t1) @t1014))) % 34.17/36.50 (assume @p650 (forall @t15 (=> @t67 (forall (@list @t348 @t1015 @t351 @t347) (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t56 (tptp.hAPP @t1 @t1 @t990 @t1015)) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t56 (tptp.hAPP @t1 @t1 @t1010 @t1015)) @t347)) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t56 (tptp.hAPP @t1 @t1 @t1013 @t1015)) @t347)))))) % 34.17/36.50 (assume @p651 (forall @t15 (=> @t1017 @t1016))) % 34.17/36.50 (assume @p652 (forall @t15 (=> @t66 @t1016))) % 34.17/36.50 (assume @p653 (forall @t15 (=> @t1017 @t1018))) % 34.17/36.50 (assume @p654 (forall @t15 (=> @t66 @t1018))) % 34.17/36.50 (assume @p655 (forall @t617 (= (= @t1021 @t1020) @t254))) % 34.17/36.50 (assume @p656 (forall @t242 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t999 @t608) @t218) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 @t1024) @t1023)))) % 34.17/36.50 (assume @p657 (forall @t667 (= (tptp.hAPP tptp.nat tptp.nat @t1025 @t608) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 @t1027) @t1026)))) % 34.17/36.50 (assume @p658 (forall @t659 (=> @t223 (=> @t658 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1031 (tptp.hAPP tptp.nat tptp.nat @t1028 @t256))))))) % 34.17/36.50 (assume @p659 (forall @t224 (=> @t223 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t1033) @t1032))))) % 34.17/36.50 (assume @p660 (forall @t224 (=> @t223 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1031 @t1034))))) % 34.17/36.50 (assume @p661 (forall @t866 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t215 (tptp.hAPP tptp.nat tptp.nat @t1000 @t1035))))) % 34.17/36.50 (assume @p662 (forall @t866 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t215 @t1035)))) % 34.17/36.50 (assume @p663 (forall @t242 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t999 @t186) @t218) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t1024) @t1023)))) % 34.17/36.50 (assume @p664 (forall @t667 (= (tptp.hAPP tptp.nat tptp.nat @t1025 @t186) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t1027) @t1026)))) % 34.17/36.50 (assume @p665 (forall @t15 (=> @t1037 (forall @t509 (= @t1036 @t359))))) % 34.17/36.50 (assume @p666 (forall @t15 (=> @t1037 (forall @t332 (= @t1039 @t369))))) % 34.17/36.50 (assume @p667 (forall @t15 (=> @t1037 (forall @t640 (= (tptp.hAPP @t1 @t1 @t990 @t995) @t995))))) % 34.17/36.50 (assume @p668 (forall @t15 (=> @t65 (forall @t589 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t63 @t995) @t347) (tptp.hAPP @t1 @t1 @t990 @t1011)))))) % 34.17/36.50 (assume @p669 (forall @t239 (= (= @t1002 @t565) @t1040))) % 34.17/36.50 (assume @p670 (forall @t213 (= (tptp.hAPP tptp.nat tptp.nat @t1022 @t565) @t182))) % 34.17/36.50 (assume @p671 (forall @t239 (= (= @t565 @t1002) @t1040))) % 34.17/36.50 (assume @p672 (forall @t213 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t999 @t565) @t182) @t182))) % 34.17/36.50 (assume @p673 (forall @t30 (=> @t1045 (forall @t344 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t1043) @t1042)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t161) @t338))))))) % 34.17/36.50 (assume @p674 (forall @t30 (=> @t1044 (forall @t1048 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t3 @t29 @t119 @t1047) @t78)))))) % 34.17/36.50 (assume @p675 (forall @t15 (=> @t1059 (forall @t1058 (= @t1057 @t1054))))) % 34.17/36.50 (assume @p676 (forall @t30 (=> @t77 (forall (@list @t1046 @t161) (= (= @t1047 @t342) (= @t342 @t1047)))))) % 34.17/36.50 (assume @p677 (forall @t15 (=> @t1059 (forall @t1058 (= @t1054 @t1057))))) % 34.17/36.50 (assume @p678 (forall @t30 (=> (and @t1044 @t1061) (forall @t344 (= (= @t1043 @t1042) @t1060))))) % 34.17/36.50 (assume @p679 (forall @t15 (=> @t1059 (forall @t1062 (= (tptp.hAPP @t1 @t1 @t1053 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t63 @t1051) @t371)) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t63 @t1057) @t371)))))) % 34.17/36.50 (assume @p680 (forall @t30 (=> @t79 (forall @t966 (=> @t977 (=> @t988 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t3 @t29 @t119 @t994) @t78)))))))) % 34.17/36.50 (assume @p681 (forall @t30 (=> @t1045 (forall @t344 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t1043) @t1042)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 @t161) @t338))))))) % 34.17/36.50 (assume @p682 (forall @t15 (=> @t1059 (forall @t1058 (= (tptp.hAPP tptp.int @t1 @t1050 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1064 @t978) @t1049)) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t637 @t1052) @t1051)))))) % 34.17/36.50 (assume @p683 (forall @t30 (=> @t1070 (forall @t1068 (= (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t992 (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t450 @t348) @t351)) @t1065) (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t450 @t1067) @t1066)))))) % 34.17/36.50 (assume @p684 (forall @t30 (=> @t1070 (forall @t1074 (= (tptp.hAPP @t3 @t3 @t1071 (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t450 @t351) @t347)) (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t450 @t1073) @t1072)))))) % 34.17/36.50 (assume @p685 (forall @t30 (=> @t79 (forall @t966 (=> @t977 (=> @t988 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t3 @t29 @t119 @t593) @t78)))))))) % 34.17/36.50 (assume @p686 (forall @t15 (=> @t1059 (forall @t1058 (= @t1080 @t1076))))) % 34.17/36.50 (assume @p687 (forall @t15 (=> @t1059 (forall @t1058 (= @t1076 @t1080))))) % 34.17/36.50 (assume @p688 (forall @t30 (=> @t1081 (forall @t1074 (= (tptp.hAPP @t3 @t3 @t1071 (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t60 @t351) @t347)) (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t60 @t1073) @t1072)))))) % 34.17/36.50 (assume @p689 (forall @t15 (=> @t1059 (forall @t1062 (= (tptp.hAPP @t1 @t1 @t1075 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t56 @t1051) @t371)) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t56 @t1080) @t371)))))) % 34.17/36.50 (assume @p690 (forall @t30 (=> @t1081 (forall @t1068 (= (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t992 (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t60 @t348) @t351)) @t1065) (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t60 @t1067) @t1066)))))) % 34.17/36.50 (assume @p691 (forall @t30 (=> @t79 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t3 @t29 @t119 @t70) @t78))))) % 34.17/36.50 (assume @p692 (forall @t30 (=> @t79 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t3 @t29 @t119 @t54) @t78))))) % 34.17/36.50 (assume @p693 (forall @t15 (=> @t960 @t1018))) % 34.17/36.50 (assume @p694 (forall @t15 (=> @t960 @t1016))) % 34.17/36.50 (assume @p695 (forall @t15 (=> @t960 (forall @t640 (= @t995 @t1082))))) % 34.17/36.50 (assume @p696 (forall @t15 (=> @t960 (forall @t1090 (= @t1089 (tptp.hAPP @t1 @t1 @t1087 (tptp.hAPP @t1 @t1 @t1085 @t1083))))))) % 34.17/36.50 (assume @p697 (forall @t15 (=> @t960 (forall @t1090 (= @t1089 (tptp.hAPP @t1 @t1 @t1091 @t1083)))))) % 34.17/36.50 (assume @p698 (forall @t15 (=> @t960 (forall @t1096 (= @t1095 (tptp.hAPP @t1 @t1 @t1085 (tptp.hAPP @t1 @t1 @t1093 @t1086))))))) % 34.17/36.50 (assume @p699 (forall @t15 (=> @t960 (forall @t1096 (= @t1095 (tptp.hAPP @t1 @t1 @t1091 @t1092)))))) % 34.17/36.50 (assume @p700 (forall @t15 (=> @t960 (forall @t1098 (= @t1097 (tptp.hAPP @t1 @t1 @t1085 (tptp.hAPP @t1 @t1 @t1093 @t1088))))))) % 34.17/36.50 (assume @p701 (forall @t15 (=> @t960 (forall @t1098 (= @t1097 (tptp.hAPP @t1 @t1 @t1087 (tptp.hAPP @t1 @t1 @t1094 @t1083))))))) % 34.17/36.50 (assume @p702 (forall @t15 (=> @t960 (forall @t1098 (= @t1097 (tptp.hAPP @t1 @t1 @t1091 (tptp.hAPP @t1 @t1 @t1093 @t1083))))))) % 34.17/36.50 (assume @p703 (forall @t15 (=> @t960 (forall @t612 (= (tptp.hAPP @t1 @t1 @t1038 (tptp.hAPP @t1 @t1 @t969 @t371)) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t56 @t1099) (tptp.hAPP @t1 @t1 @t1038 @t371))))))) % 34.17/36.50 (assume @p704 (forall @t30 (=> @t967 (forall (@list @t302 @t446 @t138 @t291) (= (and @t318 (not @t527)) (not (= (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t60 @t1102) (tptp.hAPP @t3 @t3 @t1100 @t446)) (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t60 (tptp.hAPP @t3 @t3 @t993 @t446)) @t1101)))))))) % 34.17/36.50 (assume @p705 (forall @t15 (=> @t960 @t1014))) % 34.17/36.50 (assume @p706 (forall @t15 (=> @t960 (forall (@list @t348 @t183 @t351) (= (tptp.hAPP @t1 @t1 @t1104 (tptp.hAPP @t1 @t1 @t1010 @t183)) (tptp.hAPP @t1 @t1 @t1013 @t183)))))) % 34.17/36.50 (assume @p707 (forall @t30 (=> @t967 (forall (@list @t1046 @t338 @t161 @t405) (= (= (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t60 (tptp.hAPP @t3 @t3 @t1106 @t338)) (tptp.hAPP @t3 @t3 @t1105 @t405)) (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t60 (tptp.hAPP @t3 @t3 @t1106 @t405)) (tptp.hAPP @t3 @t3 @t1105 @t338))) (or (= (tptp.ti @t3 @t1046) @t342) (= @t341 @t406))))))) % 34.17/36.50 (assume @p708 (forall @t15 (=> @t960 @t989))) % 34.17/36.50 (assume @p709 (forall @t15 (=> @t960 @t991))) % 34.17/36.50 (assume @p710 (forall @t30 (=> (and @t77 @t737) (forall (@list @t1107 @t1046) (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t1108) @t1047)) (not (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t1047) @t1108)))))))) % 34.17/36.50 (assume @p711 (forall @t15 (=> @t1059 (forall (@list @t978 @t1049 @t347) (= (tptp.hAPP @t1 @t1 @t1075 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t637 @t1051) @t347)) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t637 @t1080) @t347)))))) % 34.17/36.50 (assume @p712 (forall @t15 (=> @t1110 (forall @t752 (=> (or (and @t891 @t898) (and @t899 @t890)) @t1109))))) % 34.17/36.50 (assume @p713 (forall @t15 (=> @t1112 (forall @t752 (=> (or (and @t891 @t890) (and @t899 @t898)) @t1111))))) % 34.17/36.50 (assume @p714 (forall @t15 (=> @t1116 (forall @t634 (=> @t363 (=> @t633 (=> @t890 @t1115))))))) % 34.17/36.50 (assume @p715 (forall @t15 (=> @t1116 (forall @t634 (=> @t363 (=> @t633 (=> @t891 @t1115))))))) % 34.17/36.50 (assume @p716 (forall @t15 (=> @t1112 (forall @t367 (=> @t366 (=> @t1121 @t1120)))))) % 34.17/36.50 (assume @p717 (forall @t15 (=> @t1112 (forall @t367 (=> @t366 (=> @t1121 @t1122)))))) % 34.17/36.50 (assume @p718 (forall @t15 (=> (tptp.ordere1490568538miring @t1) @t1123))) % 34.17/36.50 (assume @p719 (forall @t15 (=> @t1116 @t1123))) % 34.17/36.50 (assume @p720 (forall @t15 (=> @t1116 (forall @t355 (=> @t363 (=> @t897 @t1122)))))) % 34.17/36.50 (assume @p721 (forall @t15 (=> @t1112 (forall @t752 (=> @t899 (=> @t898 @t1111)))))) % 34.17/36.50 (assume @p722 (forall @t15 (=> @t1110 (forall @t752 (=> @t899 (=> @t890 @t1109)))))) % 34.17/36.50 (assume @p723 (forall @t15 (=> @t1110 (forall @t752 (=> @t891 (=> @t898 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 @t1082) @t867)))))))) % 34.17/36.50 (assume @p724 (forall @t15 (=> @t1110 (forall @t752 (=> @t891 (=> @t898 @t1109)))))) % 34.17/36.50 (assume @p725 (forall @t15 (=> @t1110 (forall @t752 (=> @t891 (=> @t890 @t1111)))))) % 34.17/36.50 (assume @p726 (forall @t30 (=> @t1126 (forall @t876 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t994) @t70)) (or (and @t887 @t1125) (and @t888 @t1124))))))) % 34.17/36.50 (assume @p727 (forall @t30 (=> @t1126 (forall @t876 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t886 @t994)) (or (and @t887 @t1124) (and @t888 @t1125))))))) % 34.17/36.50 (assume @p728 (forall @t15 (=> @t1127 (forall @t509 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t889 @t1036)))))) % 34.17/36.50 (assume @p729 (forall @t15 (=> @t1127 (forall @t509 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t93 @t1036) @t867))))))) % 34.17/36.50 (assume @p730 (forall @t30 (=> @t1126 (forall @t622 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t1102) @t1101)) @t1130))))) % 34.17/36.50 (assume @p731 (forall @t30 (=> @t1126 (forall @t625 (= @t1134 @t1130))))) % 34.17/36.50 (assume @p732 (forall @t30 (=> @t1126 (forall @t594 (=> @t1129 (= @t1134 @t764)))))) % 34.17/36.50 (assume @p733 (forall @t15 (=> @t1136 (forall @t752 (=> @t907 (=> @t905 @t1135)))))) % 34.17/36.50 (assume @p734 (forall @t15 (=> @t1136 (forall @t752 (=> @t907 (=> @t909 @t1137)))))) % 34.17/36.50 (assume @p735 (forall @t15 (=> @t1136 (forall @t752 (=> @t907 (=> @t909 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t93 @t1082) @t867)))))))) % 34.17/36.50 (assume @p736 (forall @t15 (=> @t1136 (forall @t640 (=> @t1135 @t1138))))) % 34.17/36.50 (assume @p737 (forall @t15 (=> @t1136 (forall @t752 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t903 @t1082)) @t1138))))) % 34.17/36.50 (assume @p738 (forall @t30 (=> @t1126 (forall @t594 (=> @t1128 (= @t1134 @t847)))))) % 34.17/36.50 (assume @p739 (forall @t15 (=> @t1136 (forall @t752 (=> @t911 (=> @t905 @t1137)))))) % 34.17/36.50 (assume @p740 (forall @t15 (=> @t1139 (forall @t752 (=> @t911 (=> @t909 @t1135)))))) % 34.17/36.50 (assume @p741 (forall @t15 (=> @t1136 (forall @t355 (=> @t751 (=> @t1142 @t1141)))))) % 34.17/36.50 (assume @p742 (forall @t15 (=> @t1136 @t1144))) % 34.17/36.50 (assume @p743 (forall @t15 (=> (tptp.linord893533164strict @t1) @t1144))) % 34.17/36.50 (assume @p744 (forall @t15 (=> @t1139 (forall @t367 (=> @t749 (=> @t1145 @t1141)))))) % 34.17/36.50 (assume @p745 (forall @t15 (=> @t1139 (forall @t367 (=> @t749 (=> @t1145 @t1143)))))) % 34.17/36.50 (assume @p746 (forall @t15 (=> (tptp.semiri456707255roduct @t1) (forall (@list @t347 @t631 @t348 @t351 @t1146) (=> (not (= (tptp.ti @t1 @t1146) @t867)) (=> (and @t360 (not (= @t364 (tptp.ti @t1 @t631)))) (not (= (tptp.hAPP @t1 @t1 @t585 (tptp.hAPP @t1 @t1 @t1147 @t347)) (tptp.hAPP @t1 @t1 @t583 (tptp.hAPP @t1 @t1 @t1147 @t631)))))))))) % 34.17/36.50 (assume @p747 (forall @t30 (=> @t1126 (forall @t344 (= (= @t1148 @t70) @t894))))) % 34.17/36.50 (assume @p748 (forall @t15 (=> @t810 (forall @t192 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t914 @t183)) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t914 @t182)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t914 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t63 @t183) @t182))))))))) % 34.17/36.50 (assume @p749 (forall @t30 (=> @t1069 (forall @t1154 (= @t1153 (= @t503 @t1150)))))) % 34.17/36.50 (assume @p750 (forall @t30 (=> @t1069 (forall @t1154 (= @t1153 (= @t1155 @t505)))))) % 34.17/36.50 (assume @p751 (forall @t15 (=> @t960 (forall (@list @t348 @t183) (= (tptp.hAPP @t1 @t1 @t1104 @t183) @t1156))))) % 34.17/36.50 (assume @p752 (forall @t15 (=> @t960 (forall (@list @t183 @t348) (= (tptp.hAPP @t1 @t1 @t1157 @t1103) @t1156))))) % 34.17/36.50 (assume @p753 (forall @t15 (=> @t960 (forall @t866 (= (tptp.hAPP @t1 @t1 @t1157 @t183) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t63 @t924) @t183)))))) % 34.17/36.50 (assume @p754 (forall @t239 (= (= @t1002 @t915) (and @t917 @t916)))) % 34.17/36.50 (assume @p755 (forall @t224 (=> @t783 (=> @t1158 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t1033) @t1032)))))) % 34.17/36.50 (assume @p756 (forall @t224 (=> @t783 (=> @t1158 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t1030) @t1034)))))) % 34.17/36.50 (assume @p757 (forall @t620 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t1009) @t1008)) @t1160))) % 34.17/36.50 (assume @p758 (forall @t617 (= @t1161 @t1160))) % 34.17/36.50 (assume @p759 (forall @t239 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t863 @t1002)) (and @t919 @t883)))) % 34.17/36.50 (assume @p760 (forall @t617 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t1021) @t1020)) @t723))) % 34.17/36.50 (assume @p761 (forall @t217 (= (tptp.hAPP tptp.nat tptp.nat @t1000 @t212) (tptp.hAPP tptp.nat tptp.nat @t607 @t1162)))) % 34.17/36.50 (assume @p762 (forall @t217 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t999 @t187) @t182) (tptp.hAPP tptp.nat tptp.nat @t605 @t1162)))) % 34.17/36.50 (assume @p763 (forall @t617 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t1021) @t1020)) @t238))) % 34.17/36.50 (assume @p764 (forall @t217 (=> (= @t183 @t1162) (or (= @t182 @t565) @t945)))) % 34.17/36.50 (assume @p765 (forall @t30 (=> @t1061 (forall @t512 (=> @t977 @t958))))) % 34.17/36.50 (assume @p766 (forall @t15 (=> @t1136 (forall @t355 (=> @t1120 @t1163))))) % 34.17/36.50 (assume @p767 (forall @t15 (=> @t1136 (forall @t635 (=> @t1122 @t1163))))) % 34.17/36.50 (assume @p768 (forall @t15 (=> @t1136 @t1165))) % 34.17/36.50 (assume @p769 (forall @t15 (=> @t1166 @t1165))) % 34.17/36.50 (assume @p770 (forall @t15 (=> @t1136 @t1167))) % 34.17/36.50 (assume @p771 (forall @t15 (=> @t1166 @t1167))) % 34.17/36.50 (assume @p772 (forall @t15 (=> @t1136 (forall @t634 (=> @t363 (=> @t770 (=> @t907 @t1169))))))) % 34.17/36.50 (assume @p773 (forall @t15 (=> @t1136 (forall @t634 (=> @t751 (=> @t633 (=> @t891 (=> @t1142 @t1168)))))))) % 34.17/36.50 (assume @p774 (forall @t15 (=> @t1136 (forall @t634 (=> @t751 (=> @t770 (=> @t891 @t1169))))))) % 34.17/36.50 (assume @p775 (forall @t15 (=> @t1136 (forall @t634 (=> @t751 (=> @t770 (=> @t905 @t1169))))))) % 34.17/36.50 (assume @p776 (forall @t30 (=> @t1126 (forall @t594 (=> @t1128 (= @t1170 @t849)))))) % 34.17/36.50 (assume @p777 (forall @t30 (=> @t1126 (forall @t594 (=> @t1129 (= @t1170 @t449)))))) % 34.17/36.50 (assume @p778 (forall @t30 (=> @t1126 (forall @t344 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t1148) @t70)) @t894))))) % 34.17/36.50 (assume @p779 (forall @t15 (=> @t1127 (forall @t208 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t889 @t1172)))))) % 34.17/36.50 (assume @p780 (forall @t15 (=> @t1127 (forall @t208 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t93 @t1172) @t867))))))) % 34.17/36.50 (assume @p781 (forall @t30 (=> @t1126 (forall @t344 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t900 @t1148)) (or (not @t877) (not @t893))))))) % 34.17/36.50 (assume @p782 (forall @t15 (=> @t817 (forall @t374 (=> @t1176 (=> @t1175 (=> @t1174 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 @t1173) @t206))))))))) % 34.17/36.50 (assume @p783 (forall @t15 (=> @t817 (forall @t374 (=> @t1176 (=> @t1175 (=> @t1174 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 @t1099) @t206))))))))) % 34.17/36.50 (assume @p784 (forall @t30 (=> @t1178 (forall @t1154 (= @t1177 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t447 @t1150))))))) % 34.17/36.50 (assume @p785 (forall @t30 (=> @t1178 (forall @t1154 (= @t1177 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t1155) @t446))))))) % 34.17/36.50 (assume @p786 (forall @t30 (=> @t1178 (forall @t1154 (= @t1179 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t772 @t1150))))))) % 34.17/36.50 (assume @p787 (forall @t30 (=> @t1178 (forall @t1154 (= @t1179 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t1155) @t446))))))) % 34.17/36.50 (assume @p788 (forall @t217 (=> @t1182 (=> @t1181 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t714 @t1162)))))) % 34.17/36.50 (assume @p789 (forall @t217 (=> @t1182 (=> @t1181 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t714 @t1183)))))) % 34.17/36.50 (assume @p790 (forall @t217 (=> @t1182 (=> @t1181 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1180 @t1162)))))) % 34.17/36.50 (assume @p791 (forall @t239 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1184 @t1002)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1184 @t232)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1184 @t200)))))) % 34.17/36.50 (assume @p792 (forall @t617 (= @t1186 @t1185))) % 34.17/36.50 (assume @p793 (forall @t620 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t1009) @t1008)) @t1185))) % 34.17/36.50 (assume @p794 (forall @t26 (=> @t1194 (forall (@list @t388 @t405 @t138 @t129) (=> @t132 (=> @t472 (= (tptp.hAPP @t28 @t2 @t1192 @t140) (tptp.hAPP @t2 @t2 (tptp.hAPP @t2 @t24 @t1187 (tptp.hAPP @t3 @t2 @t388 @t138)) @t1193)))))))) % 34.17/36.50 (assume @p795 (forall @t26 (=> @t1197 (forall (@list @t388 @t135 @t129) (=> @t132 (= (tptp.hAPP @t28 @t2 (tptp.hAPP @t2 @t1188 (tptp.hAPP @t8 @t1189 @t1190 (tptp.hAPP @t8 @t8 (tptp.hAPP @t25 @t564 (tptp.combs @t3 @t2 @t2) (tptp.hAPP @t8 @t25 (tptp.hAPP @t52 (tptp.fun @t8 @t25) (tptp.combb @t2 @t24 @t3) @t1187) @t388)) @t135)) @t1195) @t129) (tptp.hAPP @t2 @t2 (tptp.hAPP @t2 @t24 @t1187 (tptp.hAPP @t28 @t2 (tptp.hAPP @t2 @t1188 @t1191 @t1195) @t129)) (tptp.hAPP @t28 @t2 (tptp.hAPP @t2 @t1188 @t1196 @t1195) @t129)))))))) % 34.17/36.50 (assume @p796 (forall @t15 (=> (tptp.linord1278240602ring_1 @t1) (forall @t987 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t331 @t348)) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t334 @t348)) (=> @t986 (=> @t985 (=> @t984 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 @t983) @t348))))))))))) % 34.17/36.50 (assume @p797 (forall @t192 (and (=> @t945 (= @t1162 @t860)) (=> @t946 (= @t1162 (tptp.hAPP tptp.nat tptp.nat @t605 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t999 @t567) @t182))))))) % 34.17/36.50 (assume @p798 (forall @t30 (=> @t1061 (forall @t512 (=> @t977 (not (= @t976 @t70))))))) % 34.17/36.50 (assume @p799 (forall @t15 (=> (tptp.linord1117847801e_zero @t1) (forall @t208 (=> (forall @t1200 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t903 @t1198)) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1199 @t808)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t63 @t1198) @t206)) @t205))))) @t336))))) % 34.17/36.50 (assume @p800 (forall @t26 (=> @t1197 (forall (@list @t145 @t861) (=> @t1202 (=> (forall @t289 (=> @t1201 (= @t283 @t1195))) (= (tptp.hAPP @t28 @t2 (tptp.hAPP @t2 @t1188 (tptp.hAPP @t8 @t1189 @t1190 @t145) @t1195) @t861) @t1195))))))) % 34.17/36.50 (assume @p801 (forall @t1207 (=> @t684 (= @t1206 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t722 @t1203)))))) % 34.17/36.50 (assume @p802 (forall @t217 (= @t1162 @t1183))) % 34.17/36.50 (assume @p803 (forall @t242 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t999 @t1162) @t218) (tptp.hAPP tptp.nat tptp.nat @t1000 @t1023)))) % 34.17/36.50 (assume @p804 (forall @t1214 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t1213) @t1212)) @t1210))) % 34.17/36.50 (assume @p805 (forall @t1216 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1055 @t1215) @t371) @t371))) % 34.17/36.50 (assume @p806 (forall @t1216 (= (tptp.hAPP tptp.int tptp.int @t1217 @t1215) @t371))) % 34.17/36.50 (assume @p807 (forall @t1219 (= (tptp.hAPP tptp.int tptp.int @t1217 @t1049) (tptp.hAPP tptp.int tptp.int @t1218 @t371)))) % 34.17/36.50 (assume @p808 (forall @t1058 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1055 @t1221) @t1220) (tptp.hAPP tptp.int tptp.int @t1211 @t1056)))) % 34.17/36.50 (assume @p809 (forall @t1227 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1055 (tptp.hAPP tptp.int tptp.int @t1226 @t1223)) @t1222) (tptp.hAPP tptp.int tptp.int @t1226 (tptp.hAPP tptp.int tptp.int @t1224 @t1222))))) % 34.17/36.50 (assume @p810 (forall @t1214 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 @t1213) @t1212)) @t1229))) % 34.17/36.50 (assume @p811 (forall @t1233 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1055 @t1232) @t1049) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1064 @t1231) @t1230)))) % 34.17/36.50 (assume @p812 (forall @t1236 (= (tptp.hAPP tptp.int tptp.int @t1218 @t1232) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1064 @t1235) @t1234)))) % 34.17/36.50 (assume @p813 (forall @t1236 (= (tptp.hAPP tptp.int tptp.int @t1218 @t1238) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t1235) @t1234)))) % 34.17/36.50 (assume @p814 (forall @t1058 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t1221) @t1220) (tptp.hAPP tptp.int tptp.int @t1211 @t1079)))) % 34.17/36.50 (assume @p815 (forall @t1233 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1055 @t1238) @t1049) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t1231) @t1230)))) % 34.17/36.50 (assume @p816 (forall @t224 (=> @t1243 (=> @t1242 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 (tptp.hAPP tptp.int tptp.int @t1239 @t219)) (tptp.hAPP tptp.int tptp.int @t1239 @t221))))))) % 34.17/36.50 (assume @p817 (forall @t236 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1241 @t232)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1055 @t232) @t200) @t1215) (and (= @t232 @t1215) (= @t200 @t1215)))))) % 34.17/36.50 (assume @p818 (forall @t1216 (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t1245) @t371) @t1240)))) % 34.17/36.50 (assume @p819 (forall @t1216 (= (tptp.hAPP tptp.int tptp.int @t1246 @t1240) @t371))) % 34.17/36.50 (assume @p820 (forall @t1216 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t1240) @t371) @t371))) % 34.17/36.50 (assume @p821 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1241 @t1215))) % 34.17/36.50 (assume @p822 (forall @t1248 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1247 @t405)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1241 @t405))))) % 34.17/36.50 (assume @p823 (forall @t1214 (= @t1210 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 (tptp.hAPP tptp.int tptp.int @t1249 @t1208)) @t1240))))) % 34.17/36.50 (assume @p824 (forall @t1216 (=> @t1251 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1241 @t1245))))) % 34.17/36.50 (assume @p825 (forall @t1248 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 (tptp.hAPP tptp.int tptp.int @t1244 @t405)) @t405)) @t1240)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1252 @t1240))))) % 34.17/36.50 (assume @p826 (forall @t224 (=> @t1255 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 (tptp.hAPP tptp.int tptp.int @t1253 @t219)) (tptp.hAPP tptp.int tptp.int @t1253 @t221)))))) % 34.17/36.50 (assume @p827 (forall @t1227 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t1238) @t1222) (tptp.hAPP tptp.int tptp.int @t1237 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t1223) @t1222))))) % 34.17/36.50 (assume @p828 (forall @t612 (= (tptp.hAPP tptp.int tptp.int @t1256 (tptp.hAPP tptp.int tptp.int @t1257 @t371)) (tptp.hAPP tptp.int tptp.int @t1257 (tptp.hAPP tptp.int tptp.int @t1256 @t371))))) % 34.17/36.50 (assume @p829 (forall @t1219 (= (tptp.hAPP tptp.int tptp.int @t1246 @t1049) @t1259))) % 34.17/36.50 (assume @p830 (forall @t1261 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1260 @t1049)))) % 34.17/36.50 (assume @p831 (forall @t1219 (or @t1263 @t1262))) % 34.17/36.50 (assume @p832 (forall @t224 (=> @t1255 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 @t221) @t218)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1254 @t218)))))) % 34.17/36.50 (assume @p833 (forall @t1219 (=> @t1263 (=> @t1262 (= @t371 @t1049))))) % 34.17/36.50 (assume @p834 (forall @t1267 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1266 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1064 @t405) @t1215))) @t1265))) % 34.17/36.50 (assume @p835 (forall @t208 (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t206) @t205)) @t207 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t205) @t206))))) % 34.17/36.50 (assume @p836 (forall (@list @t405 @t1046) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1252 @t1046)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 @t405) @t1046)) (not (= @t405 @t1046)))))) % 34.17/36.50 (assume @p837 (forall @t224 (=> @t1243 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t219) @t218)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t221) @t218)))))) % 34.17/36.50 (assume @p838 (forall (@list @t1268 @t371 @t1269 @t1049) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t1269) @t1049)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 @t1268) @t371)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t1269) @t1268)) @t1259)))))) % 34.17/36.50 (assume @p839 (forall @t1267 (= @t1271 @t1270))) % 34.17/36.50 (assume @p840 (forall @t1267 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 (tptp.hAPP tptp.int tptp.int @t1272 @t1215)) @t405)) @t1265))) % 34.17/36.50 (assume @p841 (forall (@list @t1049 @t371) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t1049) @t371)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 (tptp.hAPP tptp.int tptp.int @t1258 @t1215)) @t371))))) % 34.17/36.50 (assume @p842 (forall @t1267 (= @t1271 (or @t1265 (= @t1046 @t405))))) % 34.17/36.50 (assume @p843 (forall @t617 (= @t1007 (or @t951 @t254)))) % 34.17/36.50 (assume @p844 (forall (@list @t219 @t982 @t221 @t218) (= (tptp.hAPP tptp.nat tptp.nat @t1274 (tptp.hAPP tptp.nat tptp.nat @t1273 @t218)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t999 @t679) @t982)) @t218)))) % 34.17/36.50 (assume @p845 (forall @t1275 (=> @t1159 (= @t1007 @t254)))) % 34.17/36.50 (assume @p846 (forall @t1275 (=> @t1159 (= @t1161 @t723)))) % 34.17/36.50 (assume @p847 (forall @t1275 (=> @t1159 (= @t1186 @t238)))) % 34.17/36.50 (assume @p848 (forall @t1279 (=> @t1278 (= @t1277 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t1276) @t200)))))) % 34.17/36.50 (assume @p849 (forall (@list @t982 @t183 @t182 @t221 @t219) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t222 @t219)) (= @t1280 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t999 @t226) @t982)) @t183)) @t182))))) % 34.17/36.50 (assume @p850 (forall @t1279 (=> @t1278 (= @t1281 (= @t1276 @t200))))) % 34.17/36.50 (assume @p851 (forall @t1207 (=> @t684 (= @t1277 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t237 @t1203)))))) % 34.17/36.50 (assume @p852 (forall (@list @t982 @t183 @t182 @t219 @t221) (=> @t223 (= @t1280 (tptp.hAPP tptp.nat tptp.nat @t185 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t999 (tptp.hAPP tptp.nat tptp.nat @t669 @t219)) @t982)) @t182)))))) % 34.17/36.50 (assume @p853 (forall @t1207 (=> @t684 (= @t1281 (= @t232 @t1203))))) % 34.17/36.50 (assume @p854 (forall @t1279 (=> @t1278 (= @t1206 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t713 @t1276) @t200)))))) % 34.17/36.50 (assume @p855 (forall @t1298 (=> @t1297 (=> @t1294 (=> @t1292 (=> @t1290 (=> @t1288 (=> @t1287 @t1285)))))))) % 34.17/36.50 (assume @p856 (forall @t1303 (=> @t1302 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 @t1146) @t1240)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1301 @t1146)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1301 @t1289)) @t1300)))))) % 34.17/36.50 (assume @p857 (forall @t1304 (= (tptp.hAPP tptp.int tptp.int @t1211 @t218) @t218))) % 34.17/36.50 (assume @p858 (not (= @t1240 @t1215))) % 34.17/36.50 (assume @p859 (forall @t1307 (=> @t1306 (=> @t1305 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1291 @t348)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1247 @t1282))))))) % 34.17/36.50 (assume @p860 (forall @t1307 (=> @t1306 (=> @t1305 (=> @t1308 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1299 @t1215))))))) % 34.17/36.50 (assume @p861 (forall @t1312 (=> @t1311 (=> @t1310 (=> @t1288 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t1283))))))) % 34.17/36.50 (assume @p862 (forall @t1312 (=> @t1294 (=> @t1290 (=> @t1288 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1284 @t1240))))))) % 34.17/36.50 (assume @p863 (forall @t1303 (=> @t1302 (=> @t1290 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1309 @t351)) (=> @t1292 @t1285)))))) % 34.17/36.50 (assume @p864 (forall @t1298 (=> @t1297 (=> @t1311 (=> @t1310 (=> @t1308 (=> @t1288 (=> @t1287 @t1300)))))))) % 34.17/36.50 (assume @p865 (forall @t1316 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t321) @t193)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t171 (tptp.hAPP tptp.int tptp.int @t1249 @t1215))) (=> (forall @t805 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t802) @t193)) @t1315)) @t1313))))) % 34.17/36.50 (assume @p866 (forall @t1316 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 @t321) @t193)) (=> @t1318 @t1317)))) % 34.17/36.50 (assume @p867 (forall @t26 (=> @t1194 (forall (@list @t405 @t388 @t135 @t129) (=> @t132 (=> (forall @t289 (=> @t288 (= @t389 @t1319))) (= @t1193 (tptp.hAPP @t28 @t2 (tptp.hAPP @t2 @t1188 @t1196 @t405) @t129)))))))) % 34.17/36.50 (assume @p868 (forall @t1321 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1209 @t321)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t171 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t193) @t1215))) (=> (forall @t805 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1209 @t802)) @t1320)) @t1313))))) % 34.17/36.50 (assume @p869 (forall @t1321 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1228 @t321)) (=> @t1318 (=> @t1322 @t1313))))) % 34.17/36.50 (assume @p870 (forall @t374 (=> @t1324 (=> @t1323 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1055 @t206) @t205))))))) % 34.17/36.50 (assume @p871 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t1240))) % 34.17/36.50 (assume @p872 (forall @t374 (=> @t1324 (=> @t1323 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 (tptp.hAPP tptp.int tptp.int @t1256 @t205))))))) % 34.17/36.50 (assume @p873 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t1215))) % 34.17/36.50 (assume @p874 (forall (@list @t1325 @t171) (=> (forall @t289 (=> @t1333 @t1332)) (= @t1329 (tptp.hAPP @t89 @t89 @t1328 (tptp.hAPP @t89 @t89 @t1327 @t1325)))))) % 34.17/36.50 (assume @p875 (forall @t1338 (=> @t1337 (=> (forall @t289 (=> @t1331 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t171 (tptp.hAPP tptp.int tptp.int @t1335 @t446))))) (=> @t1336 (forall @t289 (=> @t1331 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t171 (tptp.hAPP tptp.int tptp.int @t1335 @t1334)))))))))) % 34.17/36.50 (assume @p876 (forall @t1342 (=> @t1341 (= (and @t1340 @t702) (and @t1340 @t1339))))) % 34.17/36.50 (assume @p877 (forall @t1342 (=> @t1341 (= (=> @t1340 @t702) (=> @t1340 @t1339))))) % 34.17/36.50 (assume @p878 (forall @t1338 (=> @t1337 (=> (forall @t289 (=> @t1331 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t171 (tptp.hAPP tptp.int tptp.int @t1343 @t446))))) (=> @t1336 (forall @t289 (=> @t1331 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t171 (tptp.hAPP tptp.int tptp.int @t1343 @t1334)))))))))) % 34.17/36.50 (assume @p879 (forall @t15 (=> @t337 (forall @t1346 (exists @t1200 (forall @t289 (=> @t1345 (not @t1344)))))))) % 34.17/36.50 (assume @p880 (forall @t15 (=> @t337 (forall @t1346 (exists @t1200 (forall @t289 (=> @t1348 (not @t1347)))))))) % 34.17/36.50 (assume @p881 (forall @t15 (=> @t337 (forall @t1346 (exists @t1200 (forall @t289 (=> @t1345 @t1347))))))) % 34.17/36.50 (assume @p882 (forall @t15 (=> @t337 (forall @t1346 (exists @t1200 (forall @t289 (=> @t1348 @t1344))))))) % 34.17/36.50 (assume @p883 (forall @t326 (=> @t1318 (=> @t1322 @t1317)))) % 34.17/36.50 (assume @p884 (forall (@list @t171 @t1352 @t446) (=> @t1337 (=> (forall @t1355 (= @t1353 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1352 @t1354)))) (=> (exists @t1200 (forall @t289 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t282) @t1198)) (= @t1331 @t1353)))) (=> (exists @t1350 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1352 @t1349))) @t1351)))))) % 34.17/36.50 (assume @p885 (forall (@list @t171 @t1325 @t446) (=> @t1337 (=> (forall @t1355 (= @t1330 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1325 @t1354)))) (=> (exists @t1200 (forall @t289 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t1198) @t282)) @t1332))) (=> (exists @t1350 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1325 @t1349))) @t1351)))))) % 34.17/36.50 (assume @p886 (forall @t374 (and @t1359 (=> (not @t1357) (= @t1356 @t1240))))) % 34.17/36.50 (assume @p887 (forall @t15 (=> @t1059 (forall @t981 (and (=> @t1362 @t1363) (=> (not @t1362) @t1361)))))) % 34.17/36.50 (assume @p888 (forall @t15 (=> @t1367 (forall @t213 (= (tptp.hAPP tptp.int @t1 @t1050 @t1366) @t1364))))) % 34.17/36.50 (assume @p889 (forall @t213 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t1366)))) % 34.17/36.50 (assume @p890 (forall @t1304 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t1368) @t1240))))) % 34.17/36.50 (assume @p891 (forall @t15 (=> @t810 (forall @t213 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t889 @t1364)))))) % 34.17/36.50 (assume @p892 (forall @t15 (=> @t810 (forall @t866 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t889 @t1369)))))) % 34.17/36.50 (assume @p893 (forall @t15 (=> @t810 (forall @t866 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1370 @t867))))))) % 34.17/36.50 (assume @p894 (forall @t15 (=> @t85 (= (tptp.hAPP tptp.nat @t1 @t84 @t860) @t867)))) % 34.17/36.50 (assume @p895 (forall @t15 (=> @t85 (= (tptp.hAPP tptp.nat @t1 @t84 @t565) @t808)))) % 34.17/36.50 (assume @p896 (= @t1371 @t1215)) % 34.17/36.50 (assume @p897 (= @t1372 @t1240)) % 34.17/36.50 (assume @p898 (forall @t203 (= (= @t1373 @t1240) @t864))) % 34.17/36.50 (assume @p899 (forall @t30 (=> @t79 (forall @t203 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t3 @t29 @t119 @t1375) @t78)))))) % 34.17/36.50 (assume @p900 (forall @t30 (=> (tptp.semiring_char_0 @t3) (forall @t239 (= (= @t1376 @t1375) @t254))))) % 34.17/36.50 (assume @p901 (forall @t15 (=> @t85 (forall @t217 (= (tptp.hAPP tptp.nat @t1 @t84 @t608) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t56 @t1369) @t1364)))))) % 34.17/36.50 (assume @p902 (forall @t30 (=> @t1377 (forall @t239 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t1376) @t1375)) @t238))))) % 34.17/36.50 (assume @p903 (forall @t30 (=> @t1377 (forall @t239 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t733 @t1376) @t1375)) @t723))))) % 34.17/36.50 (assume @p904 (forall @t15 (=> @t810 (forall @t217 (=> @t718 @t1378))))) % 34.17/36.50 (assume @p905 (forall @t15 (=> @t810 (forall @t217 (=> @t1378 @t718))))) % 34.17/36.50 (assume @p906 (forall @t239 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t1379) @t1373)) @t723))) % 34.17/36.50 (assume @p907 (forall @t239 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 @t1379) @t1373)) @t238))) % 34.17/36.50 (assume @p908 (forall @t217 (= (tptp.hAPP tptp.int tptp.int @t1382 @t1366) @t1380))) % 34.17/36.50 (assume @p909 (forall (@list @t183 @t182 @t371) (= (tptp.hAPP tptp.int tptp.int @t1382 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t1366) @t371)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t1380) @t371)))) % 34.17/36.50 (assume @p910 (forall @t1267 (= @t1270 (exists @t279 (= @t405 (tptp.hAPP tptp.int tptp.int @t1272 @t1383)))))) % 34.17/36.50 (assume @p911 (forall @t217 (= @t1385 @t1384))) % 34.17/36.50 (assume @p912 (forall @t217 (= @t1384 @t1385))) % 34.17/36.50 (assume @p913 (forall @t15 (=> @t85 (forall @t217 (= (tptp.hAPP tptp.nat @t1 @t84 @t1162) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t63 @t1369) @t1364)))))) % 34.17/36.50 (assume @p914 (forall @t208 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1055 @t1387) @t1386) (tptp.hAPP tptp.nat tptp.int @t1365 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t999 @t206) @t205))))) % 34.17/36.50 (assume @p915 (forall @t344 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t1390) @t1389)) @t1388))) % 34.17/36.50 (assume @p916 (forall @t344 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 @t1390) @t1389)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t161) @t338))))) % 34.17/36.50 (assume @p917 (forall @t208 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 tptp.nat_tsub @t1387) @t1386) (tptp.hAPP tptp.nat tptp.int @t1365 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t206) @t205))))) % 34.17/36.50 (assume @p918 (forall @t208 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t1387) @t1386) (tptp.hAPP tptp.nat tptp.int @t1365 (tptp.hAPP tptp.nat tptp.nat @t609 @t205))))) % 34.17/36.50 (assume @p919 (forall @t204 (= (tptp.hAPP @t149 tptp.nat @t202 @t129) (tptp.hAPP @t89 tptp.nat (tptp.finite_card tptp.int) @t1393)))) % 34.17/36.50 (assume @p920 (forall @t204 (= (tptp.hBOOL (tptp.hAPP @t149 tptp.bool @t198 @t129)) (tptp.hBOOL (tptp.hAPP @t89 tptp.bool (tptp.finite_finite tptp.int) @t1393))))) % 34.17/36.50 (assume @p921 (= @t1215 @t1371)) % 34.17/36.50 (assume @p922 (= @t1240 @t1372)) % 34.17/36.50 (assume @p923 (forall @t1394 (= @t1329 (tptp.hAPP @t149 @t89 @t1392 (tptp.hAPP @t149 @t149 @t197 (tptp.hAPP @t1391 @t149 (tptp.hAPP @t89 (tptp.fun @t1391 @t149) (tptp.combb tptp.int tptp.bool tptp.nat) @t171) @t1365)))))) % 34.17/36.50 (assume @p924 (forall @t1216 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 (tptp.hAPP tptp.nat tptp.int @t1365 @t371))))) % 34.17/36.50 (assume @p925 (forall @t1394 (= (exists @t289 (and @t1333 @t1331)) (exists @t289 @t1395)))) % 34.17/36.50 (assume @p926 (forall @t1394 (= (forall @t289 (=> @t1333 @t1331)) (forall @t289 @t1395)))) % 34.17/36.50 (assume @p927 (forall @t203 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 @t1373) @t1240)) @t864))) % 34.17/36.50 (assume @p928 (= (tptp.hAPP tptp.nat tptp.int @t1365 @t915) @t1215)) % 34.17/36.50 (assume @p929 (forall @t1267 (= @t1265 (exists @t279 (= @t405 (tptp.hAPP tptp.int tptp.int @t1272 (tptp.hAPP tptp.nat tptp.int @t1365 @t276))))))) % 34.17/36.50 (assume @p930 (forall @t866 (= (tptp.hAPP tptp.nat tptp.int @t1365 @t187) (tptp.hAPP tptp.int tptp.int @t1244 @t1381)))) % 34.17/36.50 (assume @p931 (forall @t192 (=> @t191 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1064 @t1381) @t1366) (tptp.hAPP tptp.nat tptp.int @t1365 @t186))))) % 34.17/36.50 (assume @p932 (forall @t15 (=> @t85 (forall @t866 (= (tptp.hAPP tptp.nat @t1 @t84 @t187) (tptp.hAPP @t1 @t1 @t923 @t1369)))))) % 34.17/36.50 (assume @p933 (forall @t15 (=> (tptp.ring_1 @t1) (forall @t192 (=> @t191 (= (tptp.hAPP tptp.nat @t1 @t84 @t186) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t637 @t1369) @t1364))))))) % 34.17/36.50 (assume @p934 (forall @t203 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1241 @t1373)) @t883))) % 34.17/36.50 (assume @p935 (forall @t224 (=> @t1243 (=> @t1158 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 (tptp.hAPP tptp.int tptp.int @t1396 @t219)) (tptp.hAPP tptp.int tptp.int @t1396 @t221))))))) % 34.17/36.50 (assume @p936 (forall @t30 (=> @t1377 (forall @t203 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t900 @t1375)) @t883))))) % 34.17/36.50 (assume @p937 (forall @t374 (=> @t1324 (=> @t1323 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t1356)))))) % 34.17/36.50 (assume @p938 (forall @t746 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t171 (tptp.hAPP tptp.nat tptp.int @t1365 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t161) @t338)))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t338) @t161)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t171 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1064 @t1390) @t1389)))) (=> @t1388 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t171 @t1240))))))) % 34.17/36.50 (assume @p939 (forall @t374 @t1359)) % 34.17/36.50 (assume @p940 (forall @t1304 (=> @t1242 (exists @t279 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t863 @t275)) @t1397))))) % 34.17/36.50 (assume @p941 (forall @t30 (=> @t88 (forall @t203 (= @t1375 (tptp.hAPP @t3 @t3 (tptp.hAPP tptp.nat @t36 (tptp.hAPP @t36 @t87 @t86 (tptp.hAPP @t3 @t36 (tptp.hAPP @t37 @t37 (tptp.combc @t3 @t3 @t3) @t60) @t54)) @t200) @t70)))))) % 34.17/36.50 (assume @p942 (forall @t239 (= (= @t1379 @t1373) @t254))) % 34.17/36.50 (assume @p943 (forall @t1400 (= (tptp.hBOOL (tptp.hAPP @t149 tptp.bool (tptp.hAPP @t149 @t437 (tptp.ord_less @t149) @t129) @t151)) (tptp.hBOOL (tptp.hAPP @t89 tptp.bool (tptp.hAPP @t89 @t1399 (tptp.ord_less @t89) @t1393) @t1398))))) % 34.17/36.50 (assume @p944 (forall @t1400 (= (tptp.hBOOL (tptp.hAPP @t149 tptp.bool (tptp.hAPP @t149 @t437 (tptp.ord_less_eq @t149) @t129) @t151)) (tptp.hBOOL (tptp.hAPP @t89 tptp.bool (tptp.hAPP @t89 @t1399 (tptp.ord_less_eq @t89) @t1393) @t1398))))) % 34.17/36.50 (assume @p945 (= (tptp.bot_bot @t89) (tptp.hAPP @t149 @t89 @t1392 (tptp.bot_bot @t149)))) % 34.17/36.50 (assume @p946 (forall @t1400 (= (= @t129 @t151) (= @t1393 @t1398)))) % 34.17/36.50 (assume @p947 (forall (@list @t161 @t129) (= (tptp.hBOOL (tptp.hAPP @t149 tptp.bool (tptp.hAPP tptp.nat @t437 @t436 @t161) @t129)) (tptp.hBOOL (tptp.hAPP @t89 tptp.bool (tptp.hAPP tptp.int @t1399 (tptp.member tptp.int) @t1390) @t1393))))) % 34.17/36.50 (assume @p948 (forall (@list @t161 @t338 @t171) (and (=> @t702 (= @t1390 @t1401)) (=> @t703 (= @t1389 @t1401))))) % 34.17/36.50 (assume @p949 (forall @t344 (= (= @t1390 @t1389) @t1060))) % 34.17/36.50 (assume @p950 (forall @t30 (=> @t88 (forall (@list @t1402 @t321) (= (tptp.hAPP @t3 @t3 (tptp.hAPP tptp.nat @t36 @t1403 @t860) @t321) (tptp.ti @t3 @t321)))))) % 34.17/36.50 (assume @p951 (forall @t30 (=> @t88 (forall (@list @t1402 @t200 @t321) (= (tptp.hAPP @t3 @t3 (tptp.hAPP tptp.nat @t36 @t1403 @t201) @t321) (tptp.hAPP @t3 @t3 (tptp.hAPP tptp.nat @t36 @t1403 @t200) (tptp.hAPP @t3 @t3 @t1402 @t321))))))) % 34.17/36.50 (assume @p952 (forall @t1304 (=> @t1404 (not (forall @t279 (not @t1397)))))) % 34.17/36.50 (assume @p953 (forall @t1216 (=> @t1251 (not (forall @t330 (not (= @t371 @t1405))))))) % 34.17/36.50 (assume @p954 (forall @t1304 (=> @t1404 (exists @t279 @t1397)))) % 34.17/36.50 (assume @p955 (forall @t1216 (not (forall @t801 (not (= @t371 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1064 @t1405) @t1383))))))) % 34.17/36.50 (assume @p956 (forall @t479 (=> (tptp.comm_monoid_mult @t3) (forall (@list @t135 @t388 @t861 @t862 @t1149) (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t862 @t1149) @t1149)) (=> (forall (@list @t1349 @t1409 @t1408 @t1407) (=> (and (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t862 @t1349) @t1408)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t862 @t1409) @t1407))) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t862 (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t992 @t1349) @t1409)) (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t36 @t992 @t1408) @t1407))))) (=> (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t136 @t861)) (=> (forall @t289 (=> (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t407 @t861)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t862 (tptp.hAPP @t2 @t3 @t135 @t282)) @t575)))) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t862 (tptp.hAPP @t21 @t3 (tptp.hAPP @t3 @t32 (tptp.hAPP @t34 @t33 @t1406 @t135) @t1149) @t861)) (tptp.hAPP @t21 @t3 (tptp.hAPP @t3 @t32 (tptp.hAPP @t34 @t33 @t1406 @t388) @t1149) @t861))))))))))) % 34.17/36.50 (assume @p957 (forall (@list @t2 @t3 @t413) (=> (tptp.comm_monoid_mult @t413) (forall (@list @t1149 @t388 @t145 @t135 @t193 @t1410 @t861) (=> @t1202 (=> (forall @t711 (=> (tptp.hBOOL (tptp.hAPP @t21 tptp.bool (tptp.hAPP @t2 @t263 @t294 @t572) @t1410)) (and (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t3 @t29 @t119 @t1419) @t861)) (= (tptp.hAPP @t3 @t2 @t135 @t1419) (tptp.ti @t2 @t572))))) (=> (forall @t289 (=> @t1201 (and (tptp.hBOOL (tptp.hAPP @t21 tptp.bool (tptp.hAPP @t2 @t263 @t294 @t1319) @t1410)) (= (tptp.hAPP @t2 @t3 @t193 @t1319) @t708) (= (tptp.hAPP @t2 @t413 @t388 @t1319) (tptp.hAPP @t3 @t413 @t145 @t282))))) (= (tptp.hAPP @t28 @t413 (tptp.hAPP @t413 @t1416 (tptp.hAPP @t1418 @t1417 (tptp.hAPP @t1415 (tptp.fun @t1418 @t1417) (tptp.finite_fold_image @t413 @t3) @t1411) @t145) @t1149) @t861) (tptp.hAPP @t21 @t413 (tptp.hAPP @t413 @t1412 (tptp.hAPP @t1414 @t1413 (tptp.hAPP @t1415 (tptp.fun @t1414 @t1413) (tptp.finite_fold_image @t413 @t2) @t1411) @t388) @t1149) @t1410))))))))) % 34.17/36.50 (assume @p958 (forall @t15 (=> @t1059 (forall @t981 (and (=> @t1420 @t1361) (=> @t1421 @t1363)))))) % 34.17/36.50 (assume @p959 (forall (@list @t206 @t371 @t631) (=> @t1424 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 (tptp.hAPP tptp.int tptp.int @t1358 @t1423)) @t371))))) % 34.17/36.50 (assume @p960 (forall @t15 (=> @t50 (forall @t640 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 @t1428) @t1427)))))) % 34.17/36.50 (assume @p961 (forall @t15 (=> @t50 (forall @t963 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 (tptp.hAPP @t1 @t1 @t49 (tptp.hAPP @t1 @t1 @t642 @t962))) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t56 (tptp.hAPP @t1 @t1 @t49 (tptp.hAPP @t1 @t1 @t638 @t347))) (tptp.hAPP @t1 @t1 @t49 (tptp.hAPP @t1 @t1 @t1429 @t631))))))))) % 34.17/36.50 (assume @p962 (forall @t1248 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 (tptp.hAPP tptp.int tptp.int @t1422 @t405)) @t1215)) (= @t405 @t1240)))) % 34.17/36.50 (assume @p963 (forall (@list @t1430) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg @t1430)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t1430) @t1240))))) % 34.17/36.50 (assume @p964 (forall @t478 (= (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg @t161))) @t1340))) % 34.17/36.50 (assume @p965 (forall @t15 (=> @t50 (forall @t509 (=> @t891 @t1431))))) % 34.17/36.50 (assume @p966 (forall @t30 (=> @t1433 (forall @t512 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t274 @t1432) @t70)) @t871))))) % 34.17/36.50 (assume @p967 (forall @t15 (=> @t50 (forall @t509 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t889 @t1426)))))) % 34.17/36.50 (assume @p968 (forall @t15 (=> @t50 (forall @t509 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1434 @t867))))))) % 34.17/36.50 (assume @p969 (forall @t30 (=> @t1433 (forall @t512 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t900 @t1432)) (not @t871)))))) % 34.17/36.50 (assume @p970 (forall @t15 (=> @t50 (forall @t509 (=> @t907 @t1431))))) % 34.17/36.50 (assume @p971 (forall @t15 (=> @t50 (forall @t640 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 (tptp.hAPP @t1 @t1 @t49 @t1435)) @t1428)))))) % 34.17/36.50 (assume @p972 (forall @t15 (=> @t50 (forall @t640 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1436 @t1428)))))) % 34.17/36.50 (assume @p973 (forall @t15 (=> @t50 (forall @t640 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1436 @t1437)))))) % 34.17/36.50 (assume @p974 (forall @t15 (=> @t817 (forall (@list @t351 @t631 @t348 @t347) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t1434 @t347)) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t93 @t1425) @t631)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t93 @t1439) (tptp.hAPP @t1 @t1 @t1117 @t631))))))))) % 34.17/36.50 (assume @p975 (forall @t15 (=> @t50 (forall @t640 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 (tptp.hAPP @t1 @t1 @t49 @t586)) @t1427)))))) % 34.17/36.50 (assume @p976 (forall @t15 (=> @t50 (forall @t640 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t94 @t97 @t1426) @t351)) @t363))))) % 34.17/36.50 (assume @p977 (forall @t15 (=> @t50 (forall @t509 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t349 @t1426)))))) % 34.17/36.50 (assume @p978 (forall @t15 (=> (tptp.ordered_ring_abs @t1) (forall @t752 (=> (and (or @t891 @t899) (or @t890 @t898)) @t1440))))) % 34.17/36.50 (assume @p979 (forall @t15 (=> @t817 (forall @t374 (=> @t1176 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t63 (tptp.hAPP @t1 @t1 @t49 @t205)) @t206) (tptp.hAPP @t1 @t1 @t49 @t1173))))))) % 34.17/36.50 (assume @p980 (forall @t15 (=> @t817 (forall @t640 @t1440)))) % 34.17/36.50 (assume @p981 (forall @t15 (=> @t817 (forall @t509 (= (tptp.hAPP @t1 @t1 @t1438 @t1426) @t1036))))) % 34.17/36.50 (assume @p982 (forall @t15 (=> @t50 (forall @t640 (= @t1428 @t1437))))) % 34.17/36.50 (assume @p983 (forall @t15 (=> @t50 (forall @t640 (= (tptp.hAPP @t1 @t1 @t49 @t1427) @t1427))))) % 34.17/36.50 (assume @p984 (forall @t15 (=> @t50 (forall @t509 (= (tptp.hAPP @t1 @t1 @t49 @t1426) @t1426))))) % 34.17/36.50 (assume @p985 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg @t1215)))) % 34.17/36.50 (assume @p986 (forall @t15 (=> @t817 (= (tptp.hAPP @t1 @t1 @t49 @t808) @t808)))) % 34.17/36.50 (assume @p987 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg @t1240)))) % 34.17/36.50 (assume @p988 (forall @t30 (=> @t1433 (forall @t512 (= (= @t1432 @t70) @t871))))) % 34.17/36.50 (assume @p989 (forall @t15 (=> @t50 (= (tptp.hAPP @t1 @t1 @t49 @t867) @t867)))) % 34.17/36.50 (assume @p990 (forall @t217 (=> (= (tptp.hAPP tptp.int tptp.int @t1422 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1055 @t183) @t182)) @t1215) (= (tptp.hAPP tptp.int tptp.int @t1422 @t183) @t1215)))) % 34.17/36.50 (assume @p991 (forall @t15 (=> @t817 (forall @t213 (= (tptp.hAPP @t1 @t1 @t49 @t1364) @t1364))))) % 34.17/36.50 (assume @p992 (forall @t213 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg @t1366))))) % 34.17/36.50 (assume @p993 (forall @t866 (= (tptp.hAPP tptp.int tptp.int @t1422 @t1381) @t1381))) % 34.17/36.50 (assume @p994 (forall @t981 (=> @t1420 (= @t980 @t860)))) % 34.17/36.50 (assume @p995 (forall (@list @t1107 @t1441) (= (= (tptp.hAPP tptp.int tptp.nat @t979 @t1107) (tptp.hAPP tptp.int tptp.nat @t979 @t1441)) (and (=> @t1445 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 @t1442) @t1240))) (=> (not @t1445) (and (=> @t1443 (= @t1444 @t1240)) (=> (not @t1443) (= @t1107 @t1441)))))))) % 34.17/36.50 (assume @p996 (forall (@list @t1446 @t218 @t978) (and (=> @t1420 (= @t1449 @t1447)) (=> @t1421 (and (=> @t1450 (= @t1449 (tptp.hAPP tptp.nat tptp.nat @t1448 @t218))) (=> (not @t1450) (= @t1449 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 (tptp.hAPP tptp.int tptp.nat @t979 (tptp.hAPP tptp.int tptp.int @t1078 @t1446))) @t218)))))))) % 34.17/36.50 (assume @p997 (forall @t981 (and (=> @t1420 (= @t1451 @t1240)) (=> @t1421 (= @t1451 @t1221))))) % 34.17/36.50 (assume @p998 (forall (@list @t371 @t206 @t631) (=> @t1424 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t371) (tptp.hAPP tptp.int tptp.int @t1256 @t1423)))))) % 34.17/36.50 (assume @p999 (forall (@list @t193 @t145 @t200) (=> (forall @t805 (=> @t1457 @t1456)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 (tptp.hAPP tptp.nat tptp.int @t145 @t860)) @t193)) (=> @t1455 (exists @t805 (and @t1454 @t1453))))))) % 34.17/36.50 (assume @p1000 (forall (@list @t193 @t145 @t200 @t232) (=> (forall @t805 (=> (and @t1458 @t1457) @t1456)) (=> @t723 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 (tptp.hAPP tptp.nat tptp.int @t145 @t232)) @t193)) (=> @t1455 (exists @t805 (and @t1458 @t1454 @t1453)))))))) % 34.17/36.50 (assume @p1001 (forall (@list @t182 @t978) (and (=> @t1420 (= @t1460 @t688)) (=> @t1421 (= @t1460 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 @t1459) @t182)))))) % 34.17/36.50 (assume @p1002 (forall @t1304 (= @t1461 (tptp.hAPP tptp.int tptp.int @t1253 @t1215)))) % 34.17/36.50 (assume @p1003 (forall @t15 (=> @t1059 (forall @t1304 (= (tptp.hAPP tptp.int @t1 @t1050 @t1461) (tptp.hAPP @t1 @t1 @t923 (tptp.hAPP tptp.int @t1 @t1050 @t218))))))) % 34.17/36.50 (assume @p1004 (forall @t981 (and (=> @t1420 (= @t1462 @t565)) (=> @t1421 (= @t1462 @t1459))))) % 34.17/36.50 (assume @p1005 (forall @t1261 (and (=> @t1466 (= @t1465 @t860)) (=> (not @t1466) (= @t1465 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 @t1463) @t1463))))))) % 34.17/36.50 (assume @p1006 (forall @t981 (and (=> @t1468 (= @t1467 @t565)) (=> (not @t1468) (= @t1467 @t1459))))) % 34.17/36.50 (assume @p1007 (= (tptp.hAPP tptp.int tptp.int tptp.succ tptp.pls) @t1469)) % 34.17/36.50 (assume @p1008 (forall @t1048 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int @t1211 (tptp.hAPP tptp.int tptp.int tptp.bit1 @t1046)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int @t1211 @t1046)))))) % 34.17/36.50 (assume @p1009 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg @t1470)))) % 34.17/36.50 (assume @p1010 (= @t1473 (tptp.hAPP tptp.nat tptp.int @t1365 @t1472))) % 34.17/36.50 (assume @p1011 (forall @t15 (=> @t1059 (forall @t1261 (= (tptp.hAPP tptp.int @t1 @t1050 @t1464) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t56 @t1474) @t1051)))))) % 34.17/36.50 (assume @p1012 (= @t1475 @t915)) % 34.17/36.50 (assume @p1013 (= @t1472 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc @t915)))) % 34.17/36.50 (assume @p1014 (forall @t213 (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc @t212)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t577 @t1472) @t182)))) % 34.17/36.50 (assume @p1015 (forall @t15 (=> @t1059 (= @t808 @t1476)))) % 34.17/36.50 (assume @p1016 (= @t565 @t1475)) % 34.17/36.50 (assume @p1017 (= @t1475 @t565)) % 34.17/36.50 (assume @p1018 (= @t1215 (tptp.hAPP tptp.int tptp.int @t1211 @t1469))) % 34.17/36.50 (assume @p1019 (forall @t15 (=> @t1059 @t1477))) % 34.17/36.50 (assume @p1020 (forall @t15 (=> @t1367 @t1477))) % 34.17/36.50 (assume @p1021 (forall @t15 (=> @t1059 (forall @t509 (= (tptp.hAPP @t1 @t1 @t990 @t1476) @t359))))) % 34.17/36.50 (assume @p1022 (forall @t15 (=> @t1059 (forall @t509 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t63 @t1476) @t348) @t359))))) % 34.17/36.50 (assume @p1023 (forall @t15 (=> @t1059 (forall @t981 (= (tptp.hAPP @t1 @t1 @t1075 @t808) (tptp.hAPP tptp.int @t1 @t1050 (tptp.hAPP tptp.int tptp.int @t1078 @t1469))))))) % 34.17/36.50 (assume @p1024 (forall @t15 (=> @t1059 (forall @t1261 (= @t1474 (tptp.hAPP tptp.int @t1 @t1050 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 @t1469) @t1049))))))) % 34.17/36.50 (assume @p1025 (= @t1240 @t1470)) % 34.17/36.50 (assume @p1026 (forall @t1304 (= @t1478 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 (tptp.hAPP tptp.int tptp.int @t1244 @t218)) @t218)))) % 34.17/36.50 (assume @p1027 (forall @t15 (=> @t1367 @t1480))) % 34.17/36.50 (assume @p1028 (forall @t15 (=> @t1059 @t1480))) % 34.17/36.50 (assume @p1029 (forall @t15 (=> @t1059 (= @t867 @t1479)))) % 34.17/36.50 (assume @p1030 (forall @t15 (=> @t1059 (forall @t509 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t56 @t1479) @t348) @t359))))) % 34.17/36.50 (assume @p1031 (forall @t15 (=> @t1059 (forall @t509 (= (tptp.hAPP @t1 @t1 @t585 @t1479) @t359))))) % 34.17/36.50 (assume @p1032 (= @t1481 @t860)) % 34.17/36.50 (assume @p1033 (= @t860 @t1481)) % 34.17/36.50 (assume @p1034 (= tptp.pls @t1240)) % 34.17/36.50 (assume @p1035 (forall @t1214 (= (= @t1483 @t1482) (= @t193 @t1208)))) % 34.17/36.50 (assume @p1036 (forall @t1304 (not (= @t1478 tptp.pls)))) % 34.17/36.50 (assume @p1037 (forall (@list @t256) (not (= tptp.pls (tptp.hAPP tptp.int tptp.int tptp.bit1 @t256))))) % 34.17/36.50 (assume @p1038 (forall @t1304 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1064 @t218) tptp.pls) @t218))) % 34.17/36.50 (assume @p1039 (forall @t1304 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1077 tptp.pls) @t218) @t218))) % 34.17/36.50 (assume @p1040 (forall @t1304 (= (tptp.hAPP tptp.int tptp.int @t1253 tptp.pls) @t218))) % 34.17/36.50 (assume @p1041 (forall @t1261 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t75 @t1055 tptp.pls) @t1049) tptp.pls))) % 34.17/36.50 (assume @p1042 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t1473))) % 34.17/36.50 (assume @p1043 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1484 tptp.pls))) % 34.17/36.50 (assume @p1044 (forall @t199 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1484 @t1483)) @t1485))) % 34.17/36.50 (assume @p1045 (forall @t1214 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1486 @t1482)) @t1229))) % 34.17/36.50 (assume @p1046 (forall @t1491 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 @t1490) @t1489)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1063 @t1488) @t1487))))) % 34.17/36.50 (assume @p1047 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1492 tptp.pls)))) % 34.17/36.50 (assume @p1048 (forall @t199 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1494 tptp.pls)) @t1493))) % 34.17/36.50 (assume @p1049 (forall @t1214 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1494 @t1482)) @t1210))) % 34.17/36.50 (assume @p1050 (forall @t1491 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t1490) @t1489)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t89 @t1041 @t1488) @t1487))))) % 34.17/36.50 (assume @p1051 (forall @t199 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1486 tptp.pls)) @t1493))) % 34.17/36.50 (assume @p1052 (forall @t199 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1492 @t1483)) @t1485))) % 34.17/36.50 (assume @p1053 (forall @t1498 (=> (tptp.preorder @t1495) (tptp.preorder @t1497)))) % 34.17/36.50 (assume @p1054 (forall @t1498 (=> @t1499 (tptp.finite_finite_1 @t1497)))) % 34.17/36.50 (assume @p1055 (forall @t1498 (=> (tptp.order @t1495) (tptp.order @t1497)))) % 34.17/36.50 (assume @p1056 (forall @t1498 (=> (tptp.ord @t1495) (tptp.ord @t1497)))) % 34.17/36.50 (assume @p1057 (forall @t1498 (=> (tptp.bot @t1495) (tptp.bot @t1497)))) % 34.17/36.50 (assume @p1058 (forall @t1498 (=> (tptp.minus @t1495) (tptp.minus @t1497)))) % 34.17/36.50 (assume @p1059 (tptp.semiri456707255roduct tptp.int)) % 34.17/36.50 (assume @p1060 (tptp.ordere223160158up_add tptp.int)) % 34.17/36.50 (assume @p1061 (tptp.ordere236663937imp_le tptp.int)) % 34.17/36.50 (assume @p1062 (tptp.linord893533164strict tptp.int)) % 34.17/36.50 (assume @p1063 (tptp.linord626643107strict tptp.int)) % 34.17/36.50 (assume @p1064 (tptp.linord20386208strict tptp.int)) % 34.17/36.50 (assume @p1065 (tptp.ordere779506340up_add tptp.int)) % 34.17/36.50 (assume @p1066 (tptp.ordere142940540dd_abs tptp.int)) % 34.17/36.50 (assume @p1067 (tptp.ordere216010020id_add tptp.int)) % 34.17/36.50 (assume @p1068 (tptp.linord219039673up_add tptp.int)) % 34.17/36.50 (assume @p1069 (tptp.cancel146912293up_add tptp.int)) % 34.17/36.50 (assume @p1070 (tptp.ordere453448008miring tptp.int)) % 34.17/36.50 (assume @p1071 (tptp.linord581940658strict tptp.int)) % 34.17/36.50 (assume @p1072 (tptp.ring_n68954251visors tptp.int)) % 34.17/36.50 (assume @p1073 (tptp.ordere1490568538miring tptp.int)) % 34.17/36.50 (assume @p1074 (tptp.linord1278240602ring_1 tptp.int)) % 34.17/36.50 (assume @p1075 (tptp.ordered_ab_group_add tptp.int)) % 34.17/36.50 (assume @p1076 (tptp.cancel_semigroup_add tptp.int)) % 34.17/36.50 (assume @p1077 (tptp.linordered_semiring tptp.int)) % 34.17/36.50 (assume @p1078 (tptp.linordered_semidom tptp.int)) % 34.17/36.50 (assume @p1079 (tptp.ab_semigroup_mult tptp.int)) % 34.17/36.50 (assume @p1080 (tptp.comm_monoid_mult tptp.int)) % 34.17/36.50 (assume @p1081 (tptp.ab_semigroup_add tptp.int)) % 34.17/36.50 (assume @p1082 (tptp.ordered_semiring tptp.int)) % 34.17/36.50 (assume @p1083 (tptp.ordered_ring_abs tptp.int)) % 34.17/36.50 (assume @p1084 (tptp.no_zero_divisors tptp.int)) % 34.17/36.50 (assume @p1085 (tptp.comm_monoid_add tptp.int)) % 34.17/36.50 (assume @p1086 (tptp.linordered_ring tptp.int)) % 34.17/36.50 (assume @p1087 (tptp.linordered_idom tptp.int)) % 34.17/36.50 (assume @p1088 (tptp.comm_semiring_1 tptp.int)) % 34.17/36.50 (assume @p1089 (tptp.comm_semiring tptp.int)) % 34.17/36.50 (assume @p1090 (tptp.semiring_char_0 tptp.int)) % 34.17/36.50 (assume @p1091 (tptp.number_semiring tptp.int)) % 34.17/36.50 (assume @p1092 (tptp.ab_group_add tptp.int)) % 34.17/36.50 (assume @p1093 (tptp.zero_neq_one tptp.int)) % 34.17/36.50 (assume @p1094 (tptp.ordered_ring tptp.int)) % 34.17/36.50 (assume @p1095 (tptp.preorder tptp.int)) % 34.17/36.50 (assume @p1096 (tptp.linorder tptp.int)) % 34.17/36.50 (assume @p1097 (tptp.monoid_mult tptp.int)) % 34.17/36.50 (assume @p1098 (tptp.monoid_add tptp.int)) % 34.17/36.50 (assume @p1099 (tptp.semiring_1 tptp.int)) % 34.17/36.50 (assume @p1100 (tptp.group_add tptp.int)) % 34.17/36.50 (assume @p1101 (tptp.mult_zero tptp.int)) % 34.17/36.50 (assume @p1102 (tptp.order tptp.int)) % 34.17/36.50 (assume @p1103 (tptp.ring_char_0 tptp.int)) % 34.17/36.50 (assume @p1104 (tptp.number_ring tptp.int)) % 34.17/36.50 (assume @p1105 (tptp.semiring tptp.int)) % 34.17/36.50 (assume @p1106 (tptp.ord tptp.int)) % 34.17/36.50 (assume @p1107 (tptp.ring_1 tptp.int)) % 34.17/36.50 (assume @p1108 (tptp.minus tptp.int)) % 34.17/36.50 (assume @p1109 (tptp.zero tptp.int)) % 34.17/36.50 (assume @p1110 (tptp.ring tptp.int)) % 34.17/36.50 (assume @p1111 (tptp.number tptp.int)) % 34.17/36.50 (assume @p1112 (tptp.one tptp.int)) % 34.17/36.50 (assume @p1113 (tptp.semiri456707255roduct tptp.nat)) % 34.17/36.50 (assume @p1114 (tptp.ordere223160158up_add tptp.nat)) % 34.17/36.50 (assume @p1115 (tptp.ordere236663937imp_le tptp.nat)) % 34.17/36.50 (assume @p1116 (tptp.linord893533164strict tptp.nat)) % 34.17/36.50 (assume @p1117 (tptp.linord20386208strict tptp.nat)) % 34.17/36.50 (assume @p1118 (tptp.ordere779506340up_add tptp.nat)) % 34.17/36.50 (assume @p1119 (tptp.ordere216010020id_add tptp.nat)) % 34.17/36.50 (assume @p1120 (tptp.cancel146912293up_add tptp.nat)) % 34.17/36.50 (assume @p1121 (tptp.ordere453448008miring tptp.nat)) % 34.17/36.50 (assume @p1122 (tptp.ordere1490568538miring tptp.nat)) % 34.17/36.50 (assume @p1123 (tptp.cancel_semigroup_add tptp.nat)) % 34.17/36.50 (assume @p1124 (tptp.linordered_semiring tptp.nat)) % 34.17/36.50 (assume @p1125 (tptp.linordered_semidom tptp.nat)) % 34.17/36.50 (assume @p1126 (tptp.ab_semigroup_mult tptp.nat)) % 34.17/36.50 (assume @p1127 (tptp.comm_monoid_mult tptp.nat)) % 34.17/36.50 (assume @p1128 (tptp.ab_semigroup_add tptp.nat)) % 34.17/36.50 (assume @p1129 (tptp.ordered_semiring tptp.nat)) % 34.17/36.50 (assume @p1130 (tptp.no_zero_divisors tptp.nat)) % 34.17/36.50 (assume @p1131 (tptp.comm_monoid_add tptp.nat)) % 34.17/36.50 (assume @p1132 (tptp.comm_semiring_1 tptp.nat)) % 34.17/36.50 (assume @p1133 (tptp.comm_semiring tptp.nat)) % 34.17/36.50 (assume @p1134 (tptp.semiring_char_0 tptp.nat)) % 34.17/36.50 (assume @p1135 (tptp.number_semiring tptp.nat)) % 34.17/36.50 (assume @p1136 (tptp.zero_neq_one tptp.nat)) % 34.17/36.50 (assume @p1137 (tptp.preorder tptp.nat)) % 34.17/36.50 (assume @p1138 (tptp.linorder tptp.nat)) % 34.17/36.50 (assume @p1139 (tptp.monoid_mult tptp.nat)) % 34.17/36.50 (assume @p1140 (tptp.monoid_add tptp.nat)) % 34.17/36.50 (assume @p1141 (tptp.semiring_1 tptp.nat)) % 34.17/36.50 (assume @p1142 (tptp.mult_zero tptp.nat)) % 34.17/36.50 (assume @p1143 (tptp.order tptp.nat)) % 34.17/36.50 (assume @p1144 (tptp.semiring tptp.nat)) % 34.17/36.50 (assume @p1145 (tptp.ord tptp.nat)) % 34.17/36.50 (assume @p1146 (tptp.bot tptp.nat)) % 34.17/36.50 (assume @p1147 (tptp.minus tptp.nat)) % 34.17/36.50 (assume @p1148 (tptp.zero tptp.nat)) % 34.17/36.50 (assume @p1149 (tptp.number tptp.nat)) % 34.17/36.50 (assume @p1150 (tptp.one tptp.nat)) % 34.17/36.50 (assume @p1151 (tptp.preorder tptp.bool)) % 34.17/36.50 (assume @p1152 (tptp.finite_finite_1 tptp.bool)) % 34.17/36.50 (assume @p1153 (tptp.order tptp.bool)) % 34.17/36.50 (assume @p1154 (tptp.ord tptp.bool)) % 34.17/36.50 (assume @p1155 (tptp.bot tptp.bool)) % 34.17/36.50 (assume @p1156 (tptp.minus tptp.bool)) % 34.17/36.50 (assume @p1157 (forall @t1498 (=> @t1499 (tptp.finite_finite_1 (tptp.sum_sum @t1496 @t1495))))) % 34.17/36.50 (assume @p1158 (forall (@list @t1501 @t1500) (= (tptp.ti @t1501 @t1502) @t1502))) % 34.17/36.50 (assume @p1159 (forall @t1503 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 (tptp.hAPP tptp.bool @t57 @t74 tptp.fTrue) @t206) @t205) @t369))) % 34.17/36.50 (assume @p1160 (forall @t1503 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 (tptp.hAPP tptp.bool @t57 @t74 tptp.fFalse) @t206) @t205) @t368))) % 34.17/36.50 (assume @p1161 (forall @t1506 (or (= @t1505 tptp.fTrue) (= @t1505 tptp.fFalse)))) % 34.17/36.50 (assume @p1162 (forall @t1506 (or (not @t1509) @t1508))) % 34.17/36.50 (assume @p1163 (forall @t1506 (or @t1507 @t1509))) % 34.17/36.50 (assume @p1164 (forall @t1513 (= (tptp.hAPP @t1 @t2 (tptp.hAPP @t6 @t5 (tptp.hAPP @t8 @t7 @t4 @t1504) @t1511) @t1510) (tptp.hAPP @t3 @t2 @t1504 @t1512)))) % 34.17/36.50 (assume @p1165 (forall @t1513 (= (tptp.hAPP @t1 @t2 (tptp.hAPP @t3 @t5 (tptp.hAPP @t11 @t10 @t9 @t1504) @t1511) @t1510) (tptp.hAPP @t3 @t2 @t1514 @t1511)))) % 34.17/36.50 (assume @p1166 (forall (@list @t1 @t1504) (= (tptp.hAPP @t1 @t1 @t13 @t1504) @t1515))) % 34.17/36.50 (assume @p1167 (forall (@list @t3 @t1 @t1504 @t1511) (= (tptp.hAPP @t3 @t1 (tptp.hAPP @t1 @t17 @t16 @t1504) @t1511) @t1515))) % 34.17/36.50 (assume @p1168 (forall @t1513 (= (tptp.hAPP @t1 @t2 (tptp.hAPP @t6 @t5 (tptp.hAPP @t11 @t7 @t18 @t1504) @t1511) @t1510) (tptp.hAPP @t3 @t2 @t1514 @t1512)))) % 34.17/36.50 (assume @p1169 (forall @t1519 (or @t1508 @t1518 @t1516))) % 34.17/36.50 (assume @p1170 (forall @t1521 (or @t1520 @t1507))) % 34.17/36.51 (assume @p1171 (forall @t1521 (or @t1520 @t1517))) % 34.17/36.51 (assume @p1172 (forall @t1519 (or @t1508 @t1522))) % 34.17/36.51 (assume @p1173 (forall @t1521 (or @t1518 @t1522))) % 34.17/36.51 (assume @p1174 (forall @t1521 (or (not @t1522) @t1507 @t1517))) % 34.17/36.51 (assume @p1175 (not (tptp.hBOOL tptp.fFalse))) % 34.17/36.51 (assume @p1176 (forall @t1503 (or (not @t1523) @t370))) % 34.17/36.51 (assume @p1177 (forall @t1503 (or @t744 @t1523))) % 34.17/36.51 (assume @p1178 (forall @t1519 (or @t1507 @t1524))) % 34.17/36.51 (assume @p1179 (forall @t1521 (or @t1518 @t1524))) % 34.17/36.51 (assume @p1180 (forall @t1521 (or (not @t1524) @t1508 @t1517))) % 34.17/36.51 (assume @p1181 (tptp.hBOOL (tptp.hAPP @t123 tptp.bool (tptp.finite_finite tptp.pname) tptp.u))) % 34.17/36.51 (assume @p1182 @t1526) % 34.17/36.51 (assume @p1183 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t149 @t148 @t1529) @t1528))) % 34.17/36.51 (assume @p1184 (= (tptp.hAPP @t121 tptp.nat @t1527 tptp.g) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t80 @t184 @t1528) @t1529))) % 34.17/36.51 (assume @p1185 @t1530) % 34.17/36.51 (assume @p1186 (not (tptp.hBOOL (tptp.hAPP @t121 tptp.bool @t1532 tptp.g)))) % 34.17/36.51 (assume @p1187 (not @t1533)) % 34.17/36.51 (assume @p1188 true) % 34.17/36.51 (step @p1189 :rule aci_norm :args ((= (or @t1534 (or @t569 @t293)) @t1535))) % 34.17/36.51 (step @p1190 :rule bool-impl-elim :args (@t295 @t293)) % 34.17/36.51 (step @p1191 :rule refl :args (@t1534)) % 34.17/36.51 (step @p1192 :rule nary_cong :premises (@p1191 @p1190) :args ((or @t1534 @t296))) % 34.17/36.51 (step @p1193 :rule trans :premises (@p1192 @p1189)) % 34.17/36.51 (step @p1194 :rule bool-impl-elim :args (@t298 @t296)) % 34.17/36.51 (step @p1195 :rule trans :premises (@p1194 @p1193)) % 34.17/36.51 (step @p1196 :rule cong :premises (@p1195) :args (@t300)) % 34.17/36.51 (step @p1197 :rule eq_resolve :premises (@p120 @p1196)) % 34.17/36.51 (step @p1198 :rule eq-symm :args (@t117 @t115)) % 34.17/36.51 (step @p1199 :rule cong :premises (@p1198) :args (@t118)) % 34.17/36.51 (step @p1200 :rule eq_resolve :premises (@p60 @p1199)) % 34.17/36.51 (step @p1201 :rule instantiate :premises (@p1200) :args ((@list tptp.x_a tptp.pname tptp.mgt_call tptp.pn))) % 34.17/36.51 (step @p1202 :rule instantiate :premises (@p171) :args ((@list tptp.x_a @t1531 tptp.g @t1525))) % 34.17/36.51 (step @p1203 :rule cnf_equiv_pos2 :args (@t1538)) % 34.17/36.51 (step @p1204 :rule reordering :premises (@p1203) :args ((or @t1533 @t1539 (not @t1538)))) % 34.17/36.51 (step @p1205 :rule chain_m_resolution :premises (@p1204 @p1187 @p1202) :args (@t1539 @t1540 (@list @t1533 @t1538))) % 34.17/36.51 (step @p1206 :rule cnf_and_neg :args (@t1537)) % 34.17/36.51 (step @p1207 :rule reordering :premises (@p1206) :args ((or (not @t1526) @t1537 @t1541))) % 34.17/36.51 (step @p1208 :rule chain_m_resolution :premises (@p1207 @p1182 @p1205) :args (@t1541 (@list false true) (@list @t1526 @t1537))) % 34.17/36.51 (step @p1209 :rule cnf_or_pos :args (@t1546)) % 34.17/36.51 (step @p1210 :rule reordering :premises (@p1209) :args ((or @t1542 @t1536 @t1545 @t1547))) % 34.17/36.51 (step @p1211 :rule chain_m_resolution :premises (@p1210 @p1185 @p1208 @p1201) :args (@t1547 (@list false true false) (@list @t1530 @t1536 @t1544))) % 34.17/36.51 (step @p1212 :rule refl :args (@t1536)) % 34.17/36.51 (step @p1213 :rule refl :args (@t1542)) % 34.17/36.51 (step @p1214 :rule eq-symm :args (@t1543 @t1531)) % 34.17/36.51 (step @p1215 :rule cong :premises (@p1214) :args (@t1548)) % 34.17/36.51 (step @p1216 :rule nary_cong :premises (@p1215 @p1213 @p1212) :args (@t1549)) % 34.17/36.51 (step @p1217 :rule refl :args (@t1550)) % 34.17/36.51 (step @p1218 :rule cong :premises (@p1217 @p1216) :args ((=> @t1550 @t1549))) % 34.17/36.51 (assume-push @p1226 @t1550) % 34.17/36.51 (step @p1220 :rule instantiate :premises (@p1197) :args ((@list tptp.x_a tptp.pname tptp.u @t1531 tptp.mgt_call tptp.pn))) % 34.17/36.51 (step-pop @p1227 :rule scope :premises (@p1220)) % 34.17/36.51 (step @p1221 :rule process_scope :premises (@p1227) :args (@t1549)) % 34.17/36.51 (step @p1223 :rule eq_resolve :premises (@p1221 @p1218)) % 34.17/36.51 (step @p1224 :rule implies_elim :premises (@p1223)) % 34.17/36.51 (step @p1225 false :rule chain_m_resolution :premises (@p1224 @p1211 @p1197) :args (false @t1540 (@list @t1546 @t1550))) % 34.17/36.51 ) % 34.17/36.51 % SZS output end Proof % 34.17/36.51 % cvc5 exiting %------------------------------------------------------------------------------