%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT171+6 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:46:28 AM UTC 2026 % Result : Theorem 0.94s 1.18s % Output : Proof 0.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT171+6 : TPTP v9.2.1. Released v5.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:37:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.46/0.81 %----Proving TF0_NAR, FOF, or CNF % 0.94/1.18 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.94/1.18 % SZS status Theorem % 0.94/1.18 % SZS output start Proof % 0.94/1.18 ( % 0.94/1.18 (declare-sort $$unsorted 0) % 0.94/1.18 (declare-const tptp.linordered_field (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.semiri456707255roduct (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.zero_neq_one (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.option (-> $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.comm_monoid_add (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.ordere779506340up_add (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.cancel146912293up_add (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.dense_linorder (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.ordere223160158up_add (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.order (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.preorder (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.ordere216010020id_add (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.linordered_semidom (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.h $$unsorted) % 0.94/1.18 (declare-const tptp.comm_semiring_1 (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.d $$unsorted) % 0.94/1.18 (declare-const tptp.b $$unsorted) % 0.94/1.18 (declare-const tptp.a $$unsorted) % 0.94/1.18 (declare-const tptp.p $$unsorted) % 0.94/1.18 (declare-const tptp.lba $$unsorted) % 0.94/1.18 (declare-const tptp.member (-> $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.product_unit $$unsorted) % 0.94/1.18 (declare-const tptp.fequal (-> $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.fdisj $$unsorted) % 0.94/1.18 (declare-const tptp.inj_on (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.arrow_14103264_above $$unsorted) % 0.94/1.18 (declare-const tptp.in_rel (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.ring_char_0 (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.n $$unsorted) % 0.94/1.18 (declare-const tptp.product_prod_rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.finite908156982e_idem (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.combc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.zero (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.one_one (-> $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.arrow_660593299e_indi $$unsorted) % 0.94/1.18 (declare-const tptp.arrow_2037941124le_IIA $$unsorted) % 0.94/1.18 (declare-const tptp.bool $$unsorted) % 0.94/1.18 (declare-const tptp.arrow_831799591nimity $$unsorted) % 0.94/1.18 (declare-const tptp.c $$unsorted) % 0.94/1.18 (declare-const tptp.finite_fold_image (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.ordere236663937imp_le (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.product_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.linord219039673up_add (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.finite_finite_1 (-> $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.arrow_1427655034_mktop $$unsorted) % 0.94/1.18 (declare-const tptp.combi (-> $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.arrow_490897120le_alt $$unsorted) % 0.94/1.18 (declare-const tptp.ord (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.fun (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.lab $$unsorted) % 0.94/1.18 (declare-const tptp.finite_card (-> $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.arrow_1278947948_mkbot $$unsorted) % 0.94/1.18 (declare-const tptp.nat $$unsorted) % 0.94/1.18 (declare-const tptp.combb (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.arrow_1111136790e_Prof $$unsorted) % 0.94/1.18 (declare-const tptp.combk (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.ring_1 (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.arrow_218898985ctator $$unsorted) % 0.94/1.18 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.ti (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.monoid_add (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.arrow_1322701812_below $$unsorted) % 0.94/1.18 (declare-const tptp.sum_sum (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.sum_Plus (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.one (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.pi (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.finite_finite (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.cancel_semigroup_add (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.top_top (-> $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.zero_zero (-> $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.ab_semigroup_add (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.fTrue $$unsorted) % 0.94/1.18 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.undefined (-> $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.hilbert_inv_into (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.if (-> $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.linorder (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.ring_1_Ints (-> $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.combs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.suc $$unsorted) % 0.94/1.18 (declare-const tptp.f $$unsorted) % 0.94/1.18 (declare-const tptp.ord_less (-> $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.ord_less_eq (-> $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.top (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.e $$unsorted) % 0.94/1.18 (declare-const tptp.product_Pair (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.ord_atLeastLessThan (-> $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.linordered_idom (-> $$unsorted Bool)) % 0.94/1.18 (declare-const tptp.arrow_2064824852le_Lin $$unsorted) % 0.94/1.18 (declare-const tptp.collect (-> $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.plus_plus (-> $$unsorted $$unsorted)) % 0.94/1.18 (declare-const tptp.fFalse $$unsorted) % 0.94/1.18 (declare-const tptp.fNot $$unsorted) % 0.94/1.18 (declare-const tptp.fconj $$unsorted) % 0.94/1.18 (define @t1 () (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) % 0.94/1.18 (define @t2 () (tptp.fun @t1 tptp.bool)) % 0.94/1.18 (define @t3 () (tptp.fun tptp.arrow_660593299e_indi @t2)) % 0.94/1.18 (define @t4 () (tptp.fun @t3 @t2)) % 0.94/1.18 (define @t5 () (tptp.fun @t4 tptp.bool)) % 0.94/1.18 (define @t6 () (tptp.fun @t2 tptp.bool)) % 0.94/1.18 (define @t7 () (tptp.fun @t3 tptp.bool)) % 0.94/1.18 (define @t8 () (tptp.fun tptp.arrow_490897120le_alt @t2)) % 0.94/1.18 (define @t9 () (tptp.fun tptp.arrow_490897120le_alt @t8)) % 0.94/1.18 (define @t10 () (tptp.fun @t2 @t9)) % 0.94/1.18 (define @t11 () (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) % 0.94/1.18 (define @t12 () (tptp.fun @t2 @t8)) % 0.94/1.18 (define @t13 () (@var "X_a" $$unsorted)) % 0.94/1.18 (define @t14 () (@var "X_c" $$unsorted)) % 0.94/1.18 (define @t15 () (@var "X_b" $$unsorted)) % 0.94/1.18 (define @t16 () (tptp.combb @t15 @t14 @t13)) % 0.94/1.18 (define @t17 () (tptp.fun @t13 @t14)) % 0.94/1.18 (define @t18 () (tptp.fun @t13 @t15)) % 0.94/1.18 (define @t19 () (tptp.fun @t18 @t17)) % 0.94/1.18 (define @t20 () (tptp.fun @t15 @t14)) % 0.94/1.18 (define @t21 () (@list @t15 @t14 @t13)) % 0.94/1.18 (define @t22 () (tptp.combc @t13 @t15 @t14)) % 0.94/1.18 (define @t23 () (tptp.fun @t15 @t17)) % 0.94/1.18 (define @t24 () (tptp.fun @t13 @t20)) % 0.94/1.18 (define @t25 () (@list @t13 @t15 @t14)) % 0.94/1.18 (define @t26 () (tptp.combi @t13)) % 0.94/1.18 (define @t27 () (tptp.fun @t13 @t13)) % 0.94/1.18 (define @t28 () (@list @t13)) % 0.94/1.18 (define @t29 () (tptp.combk @t13 @t15)) % 0.94/1.18 (define @t30 () (tptp.fun @t15 @t13)) % 0.94/1.18 (define @t31 () (@list @t13 @t15)) % 0.94/1.18 (define @t32 () (tptp.combs @t13 @t15 @t14)) % 0.94/1.18 (define @t33 () (tptp.finite_card @t13)) % 0.94/1.18 (define @t34 () (tptp.fun @t13 tptp.bool)) % 0.94/1.18 (define @t35 () (tptp.fun @t34 tptp.nat)) % 0.94/1.18 (define @t36 () (tptp.finite_finite_1 @t15)) % 0.94/1.18 (define @t37 () (tptp.fun @t15 tptp.bool)) % 0.94/1.18 (define @t38 () (tptp.fun @t37 tptp.bool)) % 0.94/1.18 (define @t39 () (@list @t15)) % 0.94/1.18 (define @t40 () (tptp.finite_fold_image tptp.nat @t13)) % 0.94/1.18 (define @t41 () (tptp.fun tptp.nat @t35)) % 0.94/1.18 (define @t42 () (tptp.fun @t13 tptp.nat)) % 0.94/1.18 (define @t43 () (tptp.fun @t42 @t41)) % 0.94/1.18 (define @t44 () (tptp.fun tptp.nat tptp.nat)) % 0.94/1.18 (define @t45 () (tptp.fun tptp.nat @t44)) % 0.94/1.18 (define @t46 () (tptp.finite908156982e_idem @t13 @t15)) % 0.94/1.18 (define @t47 () (tptp.fun @t37 @t13)) % 0.94/1.18 (define @t48 () (tptp.fun @t47 tptp.bool)) % 0.94/1.18 (define @t49 () (tptp.fun @t30 @t48)) % 0.94/1.18 (define @t50 () (tptp.fun @t13 @t49)) % 0.94/1.18 (define @t51 () (tptp.fun @t13 @t27)) % 0.94/1.18 (define @t52 () (tptp.in_rel @t13 @t15)) % 0.94/1.18 (define @t53 () (tptp.fun @t13 @t37)) % 0.94/1.18 (define @t54 () (tptp.product_prod @t13 @t15)) % 0.94/1.18 (define @t55 () (tptp.fun @t54 tptp.bool)) % 0.94/1.18 (define @t56 () (tptp.fun @t55 @t53)) % 0.94/1.18 (define @t57 () (tptp.inj_on @t13 @t15)) % 0.94/1.18 (define @t58 () (tptp.fun @t34 tptp.bool)) % 0.94/1.18 (define @t59 () (tptp.pi @t13 @t15)) % 0.94/1.18 (define @t60 () (tptp.fun @t18 tptp.bool)) % 0.94/1.18 (define @t61 () (tptp.fun @t53 @t60)) % 0.94/1.18 (define @t62 () (tptp.one_one @t13)) % 0.94/1.18 (define @t63 () (tptp.one @t13)) % 0.94/1.18 (define @t64 () (tptp.plus_plus @t13)) % 0.94/1.18 (define @t65 () (= (tptp.ti @t51 @t64) @t64)) % 0.94/1.18 (define @t66 () (tptp.monoid_add @t13)) % 0.94/1.18 (define @t67 () (tptp.ab_semigroup_add @t13)) % 0.94/1.18 (define @t68 () (tptp.cancel_semigroup_add @t13)) % 0.94/1.18 (define @t69 () (tptp.zero_zero @t13)) % 0.94/1.18 (define @t70 () (tptp.zero @t13)) % 0.94/1.18 (define @t71 () (tptp.undefined @t13)) % 0.94/1.18 (define @t72 () (tptp.hilbert_inv_into @t13 @t15)) % 0.94/1.18 (define @t73 () (tptp.fun @t18 @t30)) % 0.94/1.18 (define @t74 () (tptp.if @t13)) % 0.94/1.18 (define @t75 () (tptp.ring_1_Ints @t13)) % 0.94/1.18 (define @t76 () (tptp.ring_1 @t13)) % 0.94/1.18 (define @t77 () (tptp.ord_less @t13)) % 0.94/1.18 (define @t78 () (tptp.fun @t13 @t34)) % 0.94/1.18 (define @t79 () (tptp.ord @t13)) % 0.94/1.18 (define @t80 () (tptp.ord_less_eq @t15)) % 0.94/1.18 (define @t81 () (tptp.ord @t15)) % 0.94/1.18 (define @t82 () (tptp.top_top @t13)) % 0.94/1.18 (define @t83 () (tptp.top @t13)) % 0.94/1.18 (define @t84 () (tptp.product_Pair @t13 @t15)) % 0.94/1.18 (define @t85 () (tptp.fun @t15 @t54)) % 0.94/1.18 (define @t86 () (tptp.fun @t13 @t85)) % 0.94/1.18 (define @t87 () (tptp.product_prod_rec @t15 @t14 @t13)) % 0.94/1.18 (define @t88 () (tptp.product_prod @t15 @t14)) % 0.94/1.18 (define @t89 () (tptp.fun @t88 @t13)) % 0.94/1.18 (define @t90 () (tptp.fun @t14 @t13)) % 0.94/1.18 (define @t91 () (tptp.fun @t15 @t90)) % 0.94/1.18 (define @t92 () (tptp.ord_atLeastLessThan @t13)) % 0.94/1.18 (define @t93 () (tptp.linorder @t13)) % 0.94/1.18 (define @t94 () (tptp.collect @t13)) % 0.94/1.18 (define @t95 () (tptp.fun @t34 @t34)) % 0.94/1.18 (define @t96 () (tptp.image @t15 @t13)) % 0.94/1.18 (define @t97 () (tptp.fun @t37 @t34)) % 0.94/1.18 (define @t98 () (@list @t15 @t13)) % 0.94/1.18 (define @t99 () (tptp.sum_Plus @t13 @t15)) % 0.94/1.18 (define @t100 () (tptp.sum_sum @t13 @t15)) % 0.94/1.18 (define @t101 () (tptp.fun @t100 tptp.bool)) % 0.94/1.18 (define @t102 () (tptp.fun @t37 @t101)) % 0.94/1.18 (define @t103 () (tptp.fun tptp.bool tptp.bool)) % 0.94/1.18 (define @t104 () (tptp.fun tptp.bool @t103)) % 0.94/1.18 (define @t105 () (tptp.fequal @t13)) % 0.94/1.18 (define @t106 () (@var "B_2_1" $$unsorted)) % 0.94/1.18 (define @t107 () (@var "B_1_1" $$unsorted)) % 0.94/1.18 (define @t108 () (tptp.hAPP @t13 @t14 @t107 @t106)) % 0.94/1.18 (define @t109 () (@list @t13 @t14 @t107 @t106)) % 0.94/1.18 (define @t110 () (tptp.member @t13)) % 0.94/1.18 (define @t111 () (tptp.fun @t13 @t58)) % 0.94/1.18 (define @t112 () (tptp.fun tptp.arrow_660593299e_indi tptp.nat)) % 0.94/1.18 (define @t113 () (tptp.member @t3)) % 0.94/1.18 (define @t114 () (tptp.fun @t7 tptp.bool)) % 0.94/1.18 (define @t115 () (@var "L_3" $$unsorted)) % 0.94/1.18 (define @t116 () (@var "Y_2" $$unsorted)) % 0.94/1.18 (define @t117 () (@var "X_1" $$unsorted)) % 0.94/1.18 (define @t118 () (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) % 0.94/1.18 (define @t119 () (tptp.fun tptp.arrow_490897120le_alt @t1)) % 0.94/1.18 (define @t120 () (tptp.hAPP tptp.arrow_490897120le_alt @t119 @t118 @t117)) % 0.94/1.18 (define @t121 () (tptp.member @t1)) % 0.94/1.18 (define @t122 () (tptp.hAPP @t1 @t6 @t121 (tptp.hAPP tptp.arrow_490897120le_alt @t1 @t120 @t116))) % 0.94/1.18 (define @t123 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t122 @t115))) % 0.94/1.18 (define @t124 () (@var "Z" $$unsorted)) % 0.94/1.18 (define @t125 () (tptp.ti tptp.arrow_490897120le_alt @t124)) % 0.94/1.18 (define @t126 () (tptp.ti tptp.arrow_490897120le_alt @t117)) % 0.94/1.18 (define @t127 () (= @t126 @t125)) % 0.94/1.18 (define @t128 () (not @t127)) % 0.94/1.18 (define @t129 () (tptp.ti tptp.arrow_490897120le_alt @t116)) % 0.94/1.18 (define @t130 () (not (= @t126 @t129))) % 0.94/1.18 (define @t131 () (= @t129 @t125)) % 0.94/1.18 (define @t132 () (not @t131)) % 0.94/1.18 (define @t133 () (tptp.hAPP @t2 @t8 tptp.arrow_1278947948_mkbot @t115)) % 0.94/1.18 (define @t134 () (@list @t117 @t116 @t115 @t124)) % 0.94/1.18 (define @t135 () (tptp.hAPP @t2 @t8 tptp.arrow_1427655034_mktop @t115)) % 0.94/1.18 (define @t136 () (@var "P_1" $$unsorted)) % 0.94/1.18 (define @t137 () (tptp.hAPP @t3 @t2 tptp.f @t136)) % 0.94/1.18 (define @t138 () (@var "B_3" $$unsorted)) % 0.94/1.18 (define @t139 () (@var "A_5" $$unsorted)) % 0.94/1.18 (define @t140 () (tptp.hAPP @t1 @t6 @t121 (tptp.hAPP tptp.arrow_490897120le_alt @t1 (tptp.hAPP tptp.arrow_490897120le_alt @t119 @t118 @t139) @t138))) % 0.94/1.18 (define @t141 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t140 @t137))) % 0.94/1.18 (define @t142 () (@var "Pa" $$unsorted)) % 0.94/1.18 (define @t143 () (@var "Ba" $$unsorted)) % 0.94/1.18 (define @t144 () (@var "Aa" $$unsorted)) % 0.94/1.18 (define @t145 () (tptp.hAPP tptp.arrow_490897120le_alt @t119 @t118 @t144)) % 0.94/1.18 (define @t146 () (tptp.hAPP @t1 @t6 @t121 (tptp.hAPP tptp.arrow_490897120le_alt @t1 @t145 @t143))) % 0.94/1.18 (define @t147 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t146 (tptp.hAPP @t3 @t2 tptp.f @t142)))) % 0.94/1.18 (define @t148 () (@var "I_2" $$unsorted)) % 0.94/1.18 (define @t149 () (tptp.hAPP tptp.arrow_660593299e_indi @t2 @t136 @t148)) % 0.94/1.18 (define @t150 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t146 (tptp.hAPP tptp.arrow_660593299e_indi @t2 @t142 @t148)))) % 0.94/1.18 (define @t151 () (@list @t148)) % 0.94/1.18 (define @t152 () (forall @t151 (= @t150 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t140 @t149))))) % 0.94/1.18 (define @t153 () (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t114 @t113 @t136) tptp.arrow_1111136790e_Prof))) % 0.94/1.18 (define @t154 () (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t114 @t113 @t142) tptp.arrow_1111136790e_Prof))) % 0.94/1.18 (define @t155 () (=> @t154 (=> @t153 (=> @t152 (= @t147 @t141))))) % 0.94/1.18 (define @t156 () (tptp.ti tptp.arrow_490897120le_alt @t139)) % 0.94/1.18 (define @t157 () (tptp.ti tptp.arrow_490897120le_alt @t143)) % 0.94/1.18 (define @t158 () (not (= @t157 @t156))) % 0.94/1.18 (define @t159 () (tptp.ti tptp.arrow_490897120le_alt @t138)) % 0.94/1.18 (define @t160 () (tptp.ti tptp.arrow_490897120le_alt @t144)) % 0.94/1.18 (define @t161 () (not (= @t160 @t159))) % 0.94/1.18 (define @t162 () (not (= @t156 @t159))) % 0.94/1.18 (define @t163 () (not (= @t160 @t157))) % 0.94/1.18 (define @t164 () (@list @t136 @t142 @t139 @t138 @t144 @t143)) % 0.94/1.18 (define @t165 () (@var "Ca" $$unsorted)) % 0.94/1.18 (define @t166 () (tptp.hAPP tptp.arrow_490897120le_alt @t119 @t118 @t143)) % 0.94/1.18 (define @t167 () (tptp.hAPP @t1 @t6 @t121 (tptp.hAPP tptp.arrow_490897120le_alt @t1 @t166 @t165))) % 0.94/1.18 (define @t168 () (tptp.ti tptp.arrow_490897120le_alt @t165)) % 0.94/1.18 (define @t169 () (tptp.hAPP @t1 @t6 @t121 (tptp.hAPP tptp.arrow_490897120le_alt @t1 @t166 @t144))) % 0.94/1.18 (define @t170 () (tptp.hAPP tptp.arrow_660593299e_indi @t2 tptp.p @t148)) % 0.94/1.18 (define @t171 () (tptp.hAPP tptp.arrow_490897120le_alt @t2 (tptp.hAPP @t2 @t8 tptp.arrow_1278947948_mkbot @t170) tptp.e)) % 0.94/1.18 (define @t172 () (tptp.hAPP tptp.arrow_490897120le_alt @t119 @t118 tptp.c)) % 0.94/1.18 (define @t173 () (tptp.hAPP @t1 @t6 @t121 (tptp.hAPP tptp.arrow_490897120le_alt @t1 @t172 tptp.d))) % 0.94/1.18 (define @t174 () (tptp.hAPP tptp.arrow_660593299e_indi tptp.nat tptp.h @t148)) % 0.94/1.18 (define @t175 () (= @t174 tptp.n)) % 0.94/1.18 (define @t176 () (not @t175)) % 0.94/1.18 (define @t177 () (tptp.hAPP tptp.arrow_490897120le_alt @t2 (tptp.hAPP tptp.arrow_490897120le_alt @t8 (tptp.hAPP @t2 @t9 tptp.arrow_14103264_above @t170) tptp.c) tptp.e)) % 0.94/1.18 (define @t178 () (tptp.ord_less tptp.nat)) % 0.94/1.18 (define @t179 () (tptp.fun tptp.nat tptp.bool)) % 0.94/1.18 (define @t180 () (tptp.hAPP tptp.nat @t179 @t178 @t174)) % 0.94/1.18 (define @t181 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t180 tptp.n))) % 0.94/1.18 (define @t182 () (not @t181)) % 0.94/1.18 (define @t183 () (tptp.hAPP tptp.arrow_490897120le_alt @t2 (tptp.hAPP @t2 @t8 tptp.arrow_1427655034_mktop @t170) tptp.e)) % 0.94/1.18 (define @t184 () (tptp.top_top @t11)) % 0.94/1.18 (define @t185 () (tptp.fun tptp.nat tptp.arrow_660593299e_indi)) % 0.94/1.18 (define @t186 () (tptp.combb @t2 @t8 tptp.arrow_660593299e_indi)) % 0.94/1.18 (define @t187 () (tptp.fun tptp.arrow_660593299e_indi @t8)) % 0.94/1.18 (define @t188 () (tptp.fun @t3 @t187)) % 0.94/1.18 (define @t189 () (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt @t2)) % 0.94/1.18 (define @t190 () (tptp.fun tptp.arrow_490897120le_alt @t3)) % 0.94/1.18 (define @t191 () (tptp.fun tptp.arrow_660593299e_indi @t9)) % 0.94/1.18 (define @t192 () (tptp.combb tptp.nat @t179 tptp.arrow_660593299e_indi)) % 0.94/1.18 (define @t193 () (tptp.fun tptp.arrow_660593299e_indi @t179)) % 0.94/1.18 (define @t194 () (tptp.fun @t112 @t193)) % 0.94/1.18 (define @t195 () (tptp.fun tptp.nat @t179)) % 0.94/1.18 (define @t196 () (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool)) % 0.94/1.18 (define @t197 () (tptp.fun tptp.nat @t11)) % 0.94/1.18 (define @t198 () (tptp.fun @t2 @t2)) % 0.94/1.18 (define @t199 () (tptp.fun @t2 @t198)) % 0.94/1.18 (define @t200 () (tptp.fun tptp.arrow_660593299e_indi @t199)) % 0.94/1.18 (define @t201 () (tptp.hAPP (tptp.fun tptp.bool @t199) (tptp.fun @t11 @t200) (tptp.combb tptp.bool @t199 tptp.arrow_660593299e_indi) (tptp.if @t2))) % 0.94/1.18 (define @t202 () (tptp.combs tptp.arrow_660593299e_indi @t2 @t198)) % 0.94/1.18 (define @t203 () (tptp.fun tptp.arrow_660593299e_indi @t198)) % 0.94/1.18 (define @t204 () (tptp.fun @t3 @t203)) % 0.94/1.18 (define @t205 () (tptp.combs tptp.arrow_660593299e_indi @t2 @t2)) % 0.94/1.18 (define @t206 () (tptp.fun @t3 @t3)) % 0.94/1.18 (define @t207 () (tptp.hAPP @t193 @t197 @t196 (tptp.hAPP @t112 @t193 (tptp.hAPP @t195 @t194 @t192 @t178) tptp.h))) % 0.94/1.18 (define @t208 () (tptp.hAPP @t11 @t200 @t201 (tptp.hAPP tptp.nat @t11 @t207 tptp.n))) % 0.94/1.18 (define @t209 () (tptp.hAPP @t3 @t3 (tptp.hAPP @t203 @t206 @t205 (tptp.hAPP @t3 @t203 (tptp.hAPP @t200 @t204 @t202 @t208) (tptp.hAPP tptp.arrow_490897120le_alt @t3 (tptp.hAPP @t187 @t190 @t189 (tptp.hAPP @t3 @t187 (tptp.hAPP @t12 @t188 @t186 tptp.arrow_1427655034_mktop) tptp.p)) tptp.e))) (tptp.hAPP @t3 @t3 (tptp.hAPP @t203 @t206 @t205 (tptp.hAPP @t3 @t203 (tptp.hAPP @t200 @t204 @t202 (tptp.hAPP @t11 @t200 @t201 (tptp.hAPP tptp.nat @t11 (tptp.hAPP @t193 @t197 @t196 (tptp.hAPP @t112 @t193 (tptp.hAPP @t195 @t194 @t192 (tptp.fequal tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt @t3 (tptp.hAPP @t187 @t190 @t189 (tptp.hAPP tptp.arrow_490897120le_alt @t187 (tptp.hAPP @t191 (tptp.fun tptp.arrow_490897120le_alt @t187) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt @t8) (tptp.hAPP @t3 @t191 (tptp.hAPP @t10 (tptp.fun @t3 @t191) (tptp.combb @t2 @t9 tptp.arrow_660593299e_indi) tptp.arrow_14103264_above) tptp.p)) tptp.c)) tptp.e))) (tptp.hAPP tptp.arrow_490897120le_alt @t3 (tptp.hAPP @t187 @t190 @t189 (tptp.hAPP @t3 @t187 (tptp.hAPP @t12 @t188 @t186 tptp.arrow_1278947948_mkbot) tptp.p)) tptp.e)))) % 0.94/1.18 (define @t210 () (tptp.hAPP @t3 @t2 tptp.f @t209)) % 0.94/1.18 (define @t211 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t173 @t210))) % 0.94/1.18 (define @t212 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t173 (tptp.hAPP @t3 @t2 tptp.f tptp.p)))) % 0.94/1.18 (define @t213 () (@var "B_2" $$unsorted)) % 0.94/1.18 (define @t214 () (@var "A_3" $$unsorted)) % 0.94/1.18 (define @t215 () (@list @t214 @t213)) % 0.94/1.18 (define @t216 () (@var "X1" $$unsorted)) % 0.94/1.18 (define @t217 () (tptp.hAPP @t1 @t6 @t121 (tptp.hAPP tptp.arrow_490897120le_alt @t1 @t172 tptp.e))) % 0.94/1.18 (define @t218 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t217 @t210))) % 0.94/1.18 (define @t219 () (tptp.hAPP @t1 @t6 @t121 (tptp.hAPP tptp.arrow_490897120le_alt @t1 (tptp.hAPP tptp.arrow_490897120le_alt @t119 @t118 tptp.e) tptp.d))) % 0.94/1.18 (define @t220 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t219 @t210))) % 0.94/1.18 (define @t221 () (tptp.hAPP @t11 tptp.nat (tptp.finite_card tptp.arrow_660593299e_indi) @t184)) % 0.94/1.18 (define @t222 () (tptp.inj_on tptp.arrow_660593299e_indi tptp.nat)) % 0.94/1.18 (define @t223 () (tptp.fun @t11 tptp.bool)) % 0.94/1.18 (define @t224 () (@var "B_4" $$unsorted)) % 0.94/1.18 (define @t225 () (@var "B_1" $$unsorted)) % 0.94/1.18 (define @t226 () (@var "A_6" $$unsorted)) % 0.94/1.18 (define @t227 () (@var "A_2" $$unsorted)) % 0.94/1.18 (define @t228 () (tptp.ti @t13 @t227)) % 0.94/1.18 (define @t229 () (tptp.ti @t15 @t143)) % 0.94/1.18 (define @t230 () (tptp.ti @t13 @t144)) % 0.94/1.18 (define @t231 () (@var "Xa" $$unsorted)) % 0.94/1.18 (define @t232 () (@var "Fa" $$unsorted)) % 0.94/1.18 (define @t233 () (tptp.hAPP @t1 @t6 @t121 (tptp.hAPP tptp.arrow_490897120le_alt @t1 (tptp.hAPP tptp.arrow_490897120le_alt @t119 @t118 @t214) @t213))) % 0.94/1.18 (define @t234 () (@var "X_2" $$unsorted)) % 0.94/1.18 (define @t235 () (tptp.hAPP @t3 @t2 @t232 @t234)) % 0.94/1.18 (define @t236 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t233 @t235))) % 0.94/1.18 (define @t237 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t233 (tptp.hAPP tptp.arrow_660593299e_indi @t2 @t234 @t148)))) % 0.94/1.18 (define @t238 () (@list @t231)) % 0.94/1.18 (define @t239 () (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t114 @t113 @t234) tptp.arrow_1111136790e_Prof))) % 0.94/1.18 (define @t240 () (@list @t234)) % 0.94/1.18 (define @t241 () (@list @t232)) % 0.94/1.18 (define @t242 () (tptp.top_top @t34)) % 0.94/1.18 (define @t243 () (@list @t13 @t117)) % 0.94/1.18 (define @t244 () (tptp.hAPP @t13 @t58 @t110 @t117)) % 0.94/1.18 (define @t245 () (@var "F1" $$unsorted)) % 0.94/1.18 (define @t246 () (@list @t117)) % 0.94/1.18 (define @t247 () (@list @t227)) % 0.94/1.18 (define @t248 () (tptp.hAPP @t13 @t34 @t77 @t144)) % 0.94/1.18 (define @t249 () (= @t230 @t82)) % 0.94/1.18 (define @t250 () (@list @t144)) % 0.94/1.18 (define @t251 () (tptp.fun @t3 @t6)) % 0.94/1.18 (define @t252 () (tptp.hAPP @t251 @t5 (tptp.hAPP @t7 (tptp.fun @t251 @t5) (tptp.pi @t3 @t2) tptp.arrow_1111136790e_Prof) (tptp.hAPP @t6 @t251 (tptp.combk @t6 @t3) tptp.arrow_2064824852le_Lin))) % 0.94/1.18 (define @t253 () (tptp.member @t4)) % 0.94/1.18 (define @t254 () (tptp.fun @t5 tptp.bool)) % 0.94/1.18 (define @t255 () (tptp.combc tptp.arrow_660593299e_indi @t2 @t198)) % 0.94/1.18 (define @t256 () (tptp.fun @t2 @t203)) % 0.94/1.18 (define @t257 () (tptp.combc tptp.arrow_660593299e_indi @t2 @t2)) % 0.94/1.18 (define @t258 () (tptp.fun @t2 @t3)) % 0.94/1.18 (define @t259 () (tptp.hAPP @t1 @t6 @t121 (tptp.hAPP tptp.arrow_490897120le_alt @t1 (tptp.hAPP tptp.arrow_490897120le_alt @t119 @t118 tptp.b) tptp.a))) % 0.94/1.18 (define @t260 () (tptp.member @t2)) % 0.94/1.18 (define @t261 () (tptp.fun @t6 tptp.bool)) % 0.94/1.18 (define @t262 () (tptp.hAPP @t1 @t6 @t121 (tptp.hAPP tptp.arrow_490897120le_alt @t1 (tptp.hAPP tptp.arrow_490897120le_alt @t119 @t118 tptp.a) tptp.b))) % 0.94/1.18 (define @t263 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t262 tptp.lab))) % 0.94/1.18 (define @t264 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t259 tptp.lba))) % 0.94/1.18 (define @t265 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t262 tptp.lba))) % 0.94/1.18 (define @t266 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t259 tptp.lab))) % 0.94/1.18 (define @t267 () (@var "Na" $$unsorted)) % 0.94/1.18 (define @t268 () (@list @t267)) % 0.94/1.18 (define @t269 () (@var "Lab" $$unsorted)) % 0.94/1.18 (define @t270 () (@var "Lba" $$unsorted)) % 0.94/1.18 (define @t271 () (@var "M" $$unsorted)) % 0.94/1.18 (define @t272 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t259 (tptp.hAPP @t3 @t2 tptp.f (tptp.hAPP @t2 @t3 (tptp.hAPP @t203 @t258 @t257 (tptp.hAPP @t2 @t203 (tptp.hAPP @t200 @t256 @t255 (tptp.hAPP @t11 @t200 @t201 (tptp.hAPP tptp.nat @t11 @t207 @t271))) tptp.lab)) tptp.lba))))) % 0.94/1.18 (define @t273 () (tptp.ord_less_eq tptp.nat)) % 0.94/1.18 (define @t274 () (tptp.hAPP tptp.nat @t179 @t273 @t271)) % 0.94/1.18 (define @t275 () (@list @t271)) % 0.94/1.18 (define @t276 () (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t261 @t260 @t115) tptp.arrow_2064824852le_Lin))) % 0.94/1.18 (define @t277 () (@list @t117 @t115)) % 0.94/1.18 (define @t278 () (tptp.hAPP @t2 @t9 tptp.arrow_14103264_above @t115)) % 0.94/1.18 (define @t279 () (@list @t115 @t117 @t116)) % 0.94/1.18 (define @t280 () (@var "X" $$unsorted)) % 0.94/1.18 (define @t281 () (@var "Y" $$unsorted)) % 0.94/1.18 (define @t282 () (tptp.hAPP @t13 @t34 @t77 @t281)) % 0.94/1.18 (define @t283 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t282 @t280))) % 0.94/1.18 (define @t284 () (tptp.ti @t13 @t281)) % 0.94/1.18 (define @t285 () (tptp.ti @t13 @t280)) % 0.94/1.18 (define @t286 () (= @t285 @t284)) % 0.94/1.18 (define @t287 () (not @t286)) % 0.94/1.18 (define @t288 () (tptp.hAPP @t13 @t34 @t77 @t280)) % 0.94/1.18 (define @t289 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t288 @t281))) % 0.94/1.18 (define @t290 () (not @t289)) % 0.94/1.18 (define @t291 () (@list @t280 @t281)) % 0.94/1.18 (define @t292 () (tptp.preorder @t13)) % 0.94/1.18 (define @t293 () (@var "Z_1" $$unsorted)) % 0.94/1.18 (define @t294 () (tptp.hAPP @t13 @t34 @t77 @t293)) % 0.94/1.18 (define @t295 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t294 @t280))) % 0.94/1.18 (define @t296 () (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t294 @t281)) @t295)) % 0.94/1.18 (define @t297 () (@list @t293 @t281 @t280)) % 0.94/1.18 (define @t298 () (tptp.order @t13)) % 0.94/1.18 (define @t299 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t288 @t293))) % 0.94/1.18 (define @t300 () (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t282 @t293)) @t299)) % 0.94/1.18 (define @t301 () (@list @t293 @t280 @t281)) % 0.94/1.18 (define @t302 () (@var "C" $$unsorted)) % 0.94/1.18 (define @t303 () (tptp.hAPP @t13 @t34 @t77 @t302)) % 0.94/1.18 (define @t304 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t303 @t227))) % 0.94/1.18 (define @t305 () (tptp.ti @t13 @t225)) % 0.94/1.18 (define @t306 () (= @t305 (tptp.ti @t13 @t302))) % 0.94/1.18 (define @t307 () (tptp.hAPP @t13 @t34 @t77 @t225)) % 0.94/1.18 (define @t308 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t307 @t227))) % 0.94/1.18 (define @t309 () (@list @t302 @t225 @t227)) % 0.94/1.18 (define @t310 () (tptp.hAPP @t13 @t34 @t77 @t227)) % 0.94/1.18 (define @t311 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t310 @t302))) % 0.94/1.18 (define @t312 () (= @t225 @t302)) % 0.94/1.18 (define @t313 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t310 @t225))) % 0.94/1.18 (define @t314 () (@list @t302 @t227 @t225)) % 0.94/1.18 (define @t315 () (= @t228 @t305)) % 0.94/1.18 (define @t316 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t307 @t302))) % 0.94/1.18 (define @t317 () (= @t227 @t225)) % 0.94/1.18 (define @t318 () (@list @t225 @t227)) % 0.94/1.18 (define @t319 () (@list @t227 @t225)) % 0.94/1.18 (define @t320 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t116) @t117))) % 0.94/1.18 (define @t321 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t117) @t116))) % 0.94/1.18 (define @t322 () (forall @t291 (=> @t287 (=> @t290 @t283)))) % 0.94/1.18 (define @t323 () (tptp.ti @t13 @t116)) % 0.94/1.18 (define @t324 () (tptp.ti @t13 @t117)) % 0.94/1.18 (define @t325 () (= @t324 @t323)) % 0.94/1.18 (define @t326 () (not @t321)) % 0.94/1.18 (define @t327 () (= @t326 @t325)) % 0.94/1.18 (define @t328 () (@list @t116 @t117)) % 0.94/1.18 (define @t329 () (@list @t117 @t116)) % 0.94/1.18 (define @t330 () (not @t325)) % 0.94/1.18 (define @t331 () (@list @t280)) % 0.94/1.18 (define @t332 () (@var "G" $$unsorted)) % 0.94/1.18 (define @t333 () (@var "F" $$unsorted)) % 0.94/1.18 (define @t334 () (tptp.hAPP @t13 @t15 @t332 @t234)) % 0.94/1.18 (define @t335 () (tptp.hAPP @t13 @t15 @t333 @t234)) % 0.94/1.18 (define @t336 () (@var "A_1" $$unsorted)) % 0.94/1.18 (define @t337 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t244 @t336))) % 0.94/1.18 (define @t338 () (tptp.hAPP @t34 @t34 @t94 @t142)) % 0.94/1.18 (define @t339 () (@list @t13 @t142)) % 0.94/1.18 (define @t340 () (= @t129 @t157)) % 0.94/1.18 (define @t341 () (= @t126 @t160)) % 0.94/1.18 (define @t342 () (= @t126 @t157)) % 0.94/1.18 (define @t343 () (@list @t117 @t116 @t115 @t144 @t143)) % 0.94/1.18 (define @t344 () (@var "S_1" $$unsorted)) % 0.94/1.18 (define @t345 () (@var "R_1" $$unsorted)) % 0.94/1.18 (define @t346 () (tptp.member @t54)) % 0.94/1.18 (define @t347 () (tptp.fun @t55 tptp.bool)) % 0.94/1.18 (define @t348 () (tptp.hAPP @t54 @t347 @t346 (tptp.hAPP @t15 @t54 (tptp.hAPP @t13 @t85 @t84 @t234) @t231))) % 0.94/1.18 (define @t349 () (tptp.one_one tptp.nat)) % 0.94/1.18 (define @t350 () (tptp.plus_plus tptp.nat)) % 0.94/1.18 (define @t351 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t44 @t350 tptp.n) @t349)) % 0.94/1.18 (define @t352 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t262 (tptp.hAPP @t3 @t2 tptp.f (tptp.hAPP @t2 @t3 (tptp.hAPP @t203 @t258 @t257 (tptp.hAPP @t2 @t203 (tptp.hAPP @t200 @t256 @t255 (tptp.hAPP @t11 @t200 @t201 (tptp.hAPP tptp.nat @t11 @t207 @t351))) tptp.lab)) tptp.lba))))) % 0.94/1.18 (define @t353 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t180 @t351))) % 0.94/1.18 (define @t354 () (tptp.hAPP @t18 @t30 (tptp.hAPP @t34 @t73 @t72 @t242) @t333)) % 0.94/1.18 (define @t355 () (tptp.ti @t15 @t116)) % 0.94/1.18 (define @t356 () (tptp.hAPP @t13 @t15 @t333 @t117)) % 0.94/1.18 (define @t357 () (= @t356 @t355)) % 0.94/1.18 (define @t358 () (tptp.hAPP @t18 @t58 @t57 @t333)) % 0.94/1.18 (define @t359 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t358 @t242))) % 0.94/1.18 (define @t360 () (@list @t13 @t15 @t117 @t116 @t333)) % 0.94/1.18 (define @t361 () (@var "I_1" $$unsorted)) % 0.94/1.18 (define @t362 () (tptp.hBOOL (tptp.hAPP tptp.arrow_660593299e_indi tptp.bool (tptp.hAPP @t4 @t11 tptp.arrow_218898985ctator @t232) @t361))) % 0.94/1.18 (define @t363 () (tptp.hAPP tptp.arrow_660593299e_indi @t2 @t234 @t361)) % 0.94/1.18 (define @t364 () (@var "B" $$unsorted)) % 0.94/1.18 (define @t365 () (tptp.member @t15)) % 0.94/1.18 (define @t366 () (tptp.hAPP @t15 @t38 @t365 @t356)) % 0.94/1.18 (define @t367 () (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t366 (tptp.hAPP @t13 @t37 @t364 @t117)))) % 0.94/1.18 (define @t368 () (tptp.hAPP @t34 @t61 @t59 @t336)) % 0.94/1.18 (define @t369 () (tptp.hAPP @t53 @t60 @t368 @t364)) % 0.94/1.18 (define @t370 () (tptp.member @t18)) % 0.94/1.18 (define @t371 () (tptp.fun @t60 tptp.bool)) % 0.94/1.18 (define @t372 () (tptp.hAPP @t18 @t371 @t370 @t333)) % 0.94/1.18 (define @t373 () (tptp.hBOOL (tptp.hAPP @t60 tptp.bool @t372 @t369))) % 0.94/1.18 (define @t374 () (@list @t13 @t15 @t117 @t333 @t336 @t364)) % 0.94/1.18 (define @t375 () (tptp.top_top @t60)) % 0.94/1.18 (define @t376 () (tptp.top_top @t37)) % 0.94/1.18 (define @t377 () (tptp.combk @t37 @t13)) % 0.94/1.18 (define @t378 () (tptp.fun @t14 @t15)) % 0.94/1.18 (define @t379 () (tptp.fun @t13 @t378)) % 0.94/1.18 (define @t380 () (tptp.ord_less_eq @t13)) % 0.94/1.18 (define @t381 () (tptp.hAPP @t13 @t34 @t380 @t280)) % 0.94/1.18 (define @t382 () (@var "N" $$unsorted)) % 0.94/1.18 (define @t383 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t262 (tptp.hAPP @t3 @t2 tptp.f (tptp.hAPP @t2 @t3 (tptp.hAPP @t203 @t258 @t257 (tptp.hAPP @t2 @t203 (tptp.hAPP @t200 @t256 @t255 (tptp.hAPP @t11 @t200 @t201 (tptp.hAPP tptp.nat @t11 @t207 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t44 @t350 @t382) @t349)))) tptp.lab)) tptp.lba))))) % 0.94/1.18 (define @t384 () (forall @t275 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t274 @t382)) @t272))) % 0.94/1.18 (define @t385 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t178 @t382) @t221))) % 0.94/1.18 (define @t386 () (@list @t382)) % 0.94/1.18 (define @t387 () (tptp.hAPP @t13 @t34 @t380 @t281)) % 0.94/1.18 (define @t388 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t387 @t280))) % 0.94/1.18 (define @t389 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t381 @t281))) % 0.94/1.18 (define @t390 () (tptp.ord_less_eq @t18)) % 0.94/1.18 (define @t391 () (tptp.hBOOL (tptp.hAPP @t18 tptp.bool (tptp.hAPP @t18 @t60 @t390 @t333) @t332))) % 0.94/1.18 (define @t392 () (tptp.hAPP @t13 @t34 @t380 @t293)) % 0.94/1.18 (define @t393 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t392 @t281))) % 0.94/1.18 (define @t394 () (@list @t281 @t280)) % 0.94/1.18 (define @t395 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t387 @t293))) % 0.94/1.18 (define @t396 () (tptp.hAPP @t13 @t34 @t380 @t302)) % 0.94/1.18 (define @t397 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t396 @t227))) % 0.94/1.18 (define @t398 () (tptp.hAPP @t13 @t34 @t380 @t225)) % 0.94/1.18 (define @t399 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t398 @t227))) % 0.94/1.18 (define @t400 () (tptp.hAPP @t13 @t34 @t380 @t227)) % 0.94/1.18 (define @t401 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t400 @t302))) % 0.94/1.18 (define @t402 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t400 @t225))) % 0.94/1.18 (define @t403 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t398 @t302))) % 0.94/1.18 (define @t404 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t380 @t117) @t116))) % 0.94/1.18 (define @t405 () (= @t404 @t325)) % 0.94/1.18 (define @t406 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t380 @t116) @t117))) % 0.94/1.18 (define @t407 () (= @t280 @t281)) % 0.94/1.18 (define @t408 () (tptp.hAPP @t15 @t37 @t80 @t335)) % 0.94/1.18 (define @t409 () (forall @t240 (tptp.hBOOL (tptp.hAPP @t15 tptp.bool @t408 @t334)))) % 0.94/1.18 (define @t410 () (@list @t333 @t332)) % 0.94/1.18 (define @t411 () (not @t315)) % 0.94/1.18 (define @t412 () (tptp.hAPP @t13 @t34 @t380 @t82)) % 0.94/1.18 (define @t413 () (tptp.ti @t13 @t234)) % 0.94/1.18 (define @t414 () (tptp.hAPP @t13 @t58 @t110 @t234)) % 0.94/1.18 (define @t415 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t414 @t336))) % 0.94/1.18 (define @t416 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t358 @t336))) % 0.94/1.18 (define @t417 () (@list @t13 @t15 @t333 @t336)) % 0.94/1.18 (define @t418 () (= @t356 (tptp.hAPP @t13 @t15 @t333 @t116))) % 0.94/1.18 (define @t419 () (tptp.hAPP @t13 @t58 @t110 @t116)) % 0.94/1.18 (define @t420 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t419 @t336))) % 0.94/1.18 (define @t421 () (@list @t13 @t15 @t117 @t116 @t333 @t336)) % 0.94/1.18 (define @t422 () (= @t418 @t325)) % 0.94/1.18 (define @t423 () (@list @t13 @t15 @t116 @t117 @t333 @t336)) % 0.94/1.18 (define @t424 () (tptp.fun tptp.arrow_660593299e_indi @t6)) % 0.94/1.18 (define @t425 () (tptp.inj_on @t13 @t13)) % 0.94/1.18 (define @t426 () (@list @t13 @t336)) % 0.94/1.18 (define @t427 () (tptp.hBOOL (tptp.hAPP @t60 tptp.bool @t372 (tptp.hAPP @t53 @t60 @t368 (tptp.hAPP @t37 @t53 @t377 @t364))))) % 0.94/1.18 (define @t428 () (tptp.fun @t27 tptp.bool)) % 0.94/1.18 (define @t429 () (tptp.hAPP @t18 @t30 (tptp.hAPP @t34 @t73 @t72 @t336) @t333)) % 0.94/1.18 (define @t430 () (@list @t13 @t15 @t117 @t333 @t336)) % 0.94/1.18 (define @t431 () (tptp.hAPP @t15 @t13 @t429 @t116)) % 0.94/1.18 (define @t432 () (tptp.hAPP @t13 @t37 @t364 @t234)) % 0.94/1.18 (define @t433 () (tptp.hAPP @t15 @t38 @t365 @t335)) % 0.94/1.18 (define @t434 () (@list @t15 @t13 @t333 @t364 @t336)) % 0.94/1.18 (define @t435 () (tptp.hAPP @t13 @t27 @t64 @t227)) % 0.94/1.18 (define @t436 () (tptp.linordered_semidom @t13)) % 0.94/1.18 (define @t437 () (@var "D" $$unsorted)) % 0.94/1.18 (define @t438 () (tptp.hAPP @t13 @t27 @t64 @t225)) % 0.94/1.18 (define @t439 () (tptp.hAPP @t13 @t13 @t438 @t437)) % 0.94/1.18 (define @t440 () (tptp.hAPP @t13 @t13 @t435 @t302)) % 0.94/1.18 (define @t441 () (tptp.hAPP @t13 @t34 @t77 @t440)) % 0.94/1.18 (define @t442 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t441 @t439))) % 0.94/1.18 (define @t443 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t396 @t437))) % 0.94/1.18 (define @t444 () (@list @t302 @t437 @t227 @t225)) % 0.94/1.18 (define @t445 () (tptp.ordere223160158up_add @t13)) % 0.94/1.18 (define @t446 () (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t303 @t437)) @t442)) % 0.94/1.18 (define @t447 () (@var "Y_3" $$unsorted)) % 0.94/1.18 (define @t448 () (tptp.hAPP @t13 @t15 @t333 @t447)) % 0.94/1.18 (define @t449 () (=> (= @t335 @t448) (= @t413 (tptp.ti @t13 @t447)))) % 0.94/1.18 (define @t450 () (@list @t234 @t447)) % 0.94/1.18 (define @t451 () (tptp.hAPP @t13 @t34 @t380 @t234)) % 0.94/1.18 (define @t452 () (tptp.hAPP @t13 @t34 @t77 @t234)) % 0.94/1.18 (define @t453 () (tptp.dense_linorder @t13)) % 0.94/1.18 (define @t454 () (@var "W" $$unsorted)) % 0.94/1.18 (define @t455 () (@list @t454)) % 0.94/1.18 (define @t456 () (@var "A_4" $$unsorted)) % 0.94/1.18 (define @t457 () (tptp.hAPP @t60 @t371 (tptp.ord_less_eq @t60) @t369)) % 0.94/1.18 (define @t458 () (tptp.ord_less_eq @t34)) % 0.94/1.18 (define @t459 () (tptp.fun @t15 @t347)) % 0.94/1.18 (define @t460 () (tptp.fun @t85 @t459)) % 0.94/1.18 (define @t461 () (tptp.fun @t13 @t459)) % 0.94/1.18 (define @t462 () (tptp.fun @t55 @t37)) % 0.94/1.18 (define @t463 () (tptp.fun @t13 @t462)) % 0.94/1.18 (define @t464 () (tptp.hAPP @t463 @t56 (tptp.combc @t13 @t55 @t37) (tptp.hAPP @t461 @t463 (tptp.hAPP (tptp.fun @t459 @t462) (tptp.fun @t461 @t463) (tptp.combb @t459 @t462 @t13) (tptp.combc @t15 @t55 tptp.bool)) (tptp.hAPP @t86 @t461 (tptp.hAPP @t460 (tptp.fun @t86 @t461) (tptp.combb @t85 @t459 @t13) (tptp.hAPP (tptp.fun @t54 @t347) @t460 (tptp.combb @t54 @t347 @t15) @t346)) @t84)))) % 0.94/1.18 (define @t465 () (tptp.ord_less_eq @t53)) % 0.94/1.18 (define @t466 () (tptp.fun @t53 tptp.bool)) % 0.94/1.18 (define @t467 () (tptp.hAPP @t34 @t58 @t458 @t336)) % 0.94/1.18 (define @t468 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t467 @t364))) % 0.94/1.18 (define @t469 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t358 @t364))) % 0.94/1.18 (define @t470 () (@list @t13 @t15 @t336 @t333 @t364)) % 0.94/1.18 (define @t471 () (tptp.linordered_idom @t13)) % 0.94/1.18 (define @t472 () (tptp.hAPP @t13 @t27 @t64 @t302)) % 0.94/1.18 (define @t473 () (tptp.hAPP @t13 @t13 @t472 @t227)) % 0.94/1.18 (define @t474 () (@list @t225 @t227 @t302)) % 0.94/1.18 (define @t475 () (tptp.hAPP @t13 @t13 @t435 @t225)) % 0.94/1.18 (define @t476 () (@list @t227 @t225 @t302)) % 0.94/1.18 (define @t477 () (forall @t476 (=> (= @t475 @t440) @t306))) % 0.94/1.18 (define @t478 () (tptp.ti @t13 @t165)) % 0.94/1.18 (define @t479 () (tptp.ti @t13 @t143)) % 0.94/1.18 (define @t480 () (= @t479 @t478)) % 0.94/1.18 (define @t481 () (tptp.hAPP @t13 @t27 @t64 @t165)) % 0.94/1.18 (define @t482 () (tptp.hAPP @t13 @t13 @t481 @t144)) % 0.94/1.18 (define @t483 () (tptp.hAPP @t13 @t27 @t64 @t143)) % 0.94/1.18 (define @t484 () (tptp.hAPP @t13 @t13 @t483 @t144)) % 0.94/1.18 (define @t485 () (tptp.hAPP @t13 @t27 @t64 @t144)) % 0.94/1.18 (define @t486 () (tptp.hAPP @t13 @t13 @t485 @t165)) % 0.94/1.18 (define @t487 () (tptp.hAPP @t13 @t13 @t485 @t143)) % 0.94/1.18 (define @t488 () (tptp.hAPP @t13 @t13 @t438 @t302)) % 0.94/1.18 (define @t489 () (tptp.hAPP @t13 @t27 @t64 @t475)) % 0.94/1.18 (define @t490 () (tptp.hAPP @t13 @t13 @t489 @t302)) % 0.94/1.18 (define @t491 () (forall @t476 (= @t490 (tptp.hAPP @t13 @t13 @t435 @t488)))) % 0.94/1.18 (define @t492 () (tptp.hAPP @t13 @t13 @t472 @t225)) % 0.94/1.18 (define @t493 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t380 @t473) @t492))) % 0.94/1.18 (define @t494 () (tptp.ordere236663937imp_le @t13)) % 0.94/1.18 (define @t495 () (tptp.hAPP @t13 @t34 @t380 @t440)) % 0.94/1.18 (define @t496 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t495 @t488))) % 0.94/1.18 (define @t497 () (@list @t227 @t302 @t225)) % 0.94/1.18 (define @t498 () (tptp.ordere779506340up_add @t13)) % 0.94/1.18 (define @t499 () (tptp.hAPP @t13 @t34 @t380 @t144)) % 0.94/1.18 (define @t500 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t499 @t143))) % 0.94/1.18 (define @t501 () (tptp.hAPP @t13 @t13 @t481 @t143)) % 0.94/1.18 (define @t502 () (@list @t165 @t144 @t143)) % 0.94/1.18 (define @t503 () (tptp.hAPP @t13 @t13 @t483 @t165)) % 0.94/1.18 (define @t504 () (@list @t144 @t165 @t143)) % 0.94/1.18 (define @t505 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t473) @t492))) % 0.94/1.18 (define @t506 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t441 @t488))) % 0.94/1.18 (define @t507 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t248 @t143))) % 0.94/1.18 (define @t508 () (tptp.hAPP @t15 @t13 @t333 @t165)) % 0.94/1.18 (define @t509 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t508) @t144))) % 0.94/1.18 (define @t510 () (tptp.hAPP @t15 @t13 @t333 @t234)) % 0.94/1.18 (define @t511 () (tptp.hAPP @t15 @t13 @t333 @t447)) % 0.94/1.18 (define @t512 () (tptp.ord_less @t15)) % 0.94/1.18 (define @t513 () (tptp.hAPP @t15 @t37 @t512 @t165)) % 0.94/1.18 (define @t514 () (tptp.hAPP @t15 @t13 @t333 @t143)) % 0.94/1.18 (define @t515 () (@list @t165 @t333 @t143 @t144)) % 0.94/1.18 (define @t516 () (tptp.hAPP @t15 @t37 @t80 @t165)) % 0.94/1.18 (define @t517 () (tptp.order @t15)) % 0.94/1.18 (define @t518 () (and @t298 @t517)) % 0.94/1.18 (define @t519 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t248 @t508))) % 0.94/1.18 (define @t520 () (@list @t165 @t144 @t333 @t143)) % 0.94/1.18 (define @t521 () (and @t517 @t298)) % 0.94/1.18 (define @t522 () (tptp.hAPP @t13 @t15 @t333 @t144)) % 0.94/1.18 (define @t523 () (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t37 @t512 @t522) @t165))) % 0.94/1.18 (define @t524 () (tptp.hAPP @t13 @t15 @t333 @t143)) % 0.94/1.18 (define @t525 () (@list @t333 @t165 @t144 @t143)) % 0.94/1.18 (define @t526 () (tptp.ti @t34 @t364)) % 0.94/1.18 (define @t527 () (tptp.ti @t34 @t336)) % 0.94/1.18 (define @t528 () (= @t527 @t526)) % 0.94/1.18 (define @t529 () (tptp.hAPP @t34 @t58 @t458 @t364)) % 0.94/1.18 (define @t530 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t529 @t336))) % 0.94/1.18 (define @t531 () (@list @t13 @t336 @t364)) % 0.94/1.18 (define @t532 () (tptp.hAPP @t13 @t58 @t110 @t165)) % 0.94/1.18 (define @t533 () (=> (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t532 @t336)) (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t532 @t364)))) % 0.94/1.18 (define @t534 () (@list @t13 @t165 @t336 @t364)) % 0.94/1.18 (define @t535 () (tptp.ord_less @t34)) % 0.94/1.18 (define @t536 () (tptp.hAPP @t34 @t58 @t535 @t336)) % 0.94/1.18 (define @t537 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t536 @t364))) % 0.94/1.18 (define @t538 () (@var "C_1" $$unsorted)) % 0.94/1.18 (define @t539 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t536 @t538))) % 0.94/1.18 (define @t540 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t529 @t538))) % 0.94/1.18 (define @t541 () (@list @t13 @t538 @t336 @t364)) % 0.94/1.18 (define @t542 () (=> (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t34 @t58 @t535 @t364) @t538)) @t539)) % 0.94/1.18 (define @t543 () (@var "Q_1" $$unsorted)) % 0.94/1.18 (define @t544 () (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t37 @t543 @t117) @t116))) % 0.94/1.18 (define @t545 () (tptp.hBOOL (tptp.hAPP @t53 tptp.bool (tptp.hAPP @t53 @t466 @t465 @t142) @t543))) % 0.94/1.18 (define @t546 () (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t37 @t142 @t117) @t116))) % 0.94/1.18 (define @t547 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t244 @t364))) % 0.94/1.18 (define @t548 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t543 @t117))) % 0.94/1.18 (define @t549 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t142 @t117))) % 0.94/1.18 (define @t550 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t34 @t58 @t458 @t142) @t543))) % 0.94/1.18 (define @t551 () (tptp.hAPP @t111 @t95 (tptp.combc @t13 @t34 tptp.bool) @t110)) % 0.94/1.18 (define @t552 () (tptp.ord_less_eq @t37)) % 0.94/1.18 (define @t553 () (tptp.hBOOL (tptp.hAPP @t15 tptp.bool @t513 @t522))) % 0.94/1.18 (define @t554 () (tptp.hAPP @t13 @t34 @t380 @t143)) % 0.94/1.18 (define @t555 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t554 @t144))) % 0.94/1.18 (define @t556 () (= @t129 @t160)) % 0.94/1.18 (define @t557 () (tptp.hAPP @t2 @t9 tptp.arrow_1322701812_below @t115)) % 0.94/1.18 (define @t558 () (@var "N_1" $$unsorted)) % 0.94/1.18 (define @t559 () (@var "K_1" $$unsorted)) % 0.94/1.18 (define @t560 () (tptp.hAPP tptp.nat @t179 @t273 @t559)) % 0.94/1.18 (define @t561 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t560 @t558))) % 0.94/1.18 (define @t562 () (@var "M_3" $$unsorted)) % 0.94/1.18 (define @t563 () (tptp.hAPP tptp.nat @t179 @t273 @t562)) % 0.94/1.18 (define @t564 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t563 @t558))) % 0.94/1.18 (define @t565 () (tptp.hAPP tptp.nat @t44 @t350 @t562)) % 0.94/1.18 (define @t566 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t273 (tptp.hAPP tptp.nat tptp.nat @t565 @t559)) @t558))) % 0.94/1.18 (define @t567 () (@list @t562 @t559 @t558)) % 0.94/1.18 (define @t568 () (tptp.hAPP tptp.nat @t179 @t178 @t558)) % 0.94/1.18 (define @t569 () (@list @t558)) % 0.94/1.18 (define @t570 () (@var "M_2" $$unsorted)) % 0.94/1.18 (define @t571 () (tptp.hAPP tptp.nat @t179 @t178 @t267)) % 0.94/1.18 (define @t572 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t571 @t570))) % 0.94/1.18 (define @t573 () (tptp.hAPP tptp.nat @t179 @t178 @t570)) % 0.94/1.18 (define @t574 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t573 @t267))) % 0.94/1.18 (define @t575 () (= @t570 @t267)) % 0.94/1.18 (define @t576 () (not @t575)) % 0.94/1.18 (define @t577 () (@list @t570 @t267)) % 0.94/1.18 (define @t578 () (tptp.hAPP tptp.nat @t179 @t178 @t280)) % 0.94/1.18 (define @t579 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t578 @t281))) % 0.94/1.18 (define @t580 () (= @t562 @t558)) % 0.94/1.18 (define @t581 () (not @t580)) % 0.94/1.18 (define @t582 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t568 @t562))) % 0.94/1.18 (define @t583 () (@list @t558 @t562)) % 0.94/1.18 (define @t584 () (@var "T_3" $$unsorted)) % 0.94/1.18 (define @t585 () (@var "S" $$unsorted)) % 0.94/1.18 (define @t586 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t142 @t267) @t570))) % 0.94/1.18 (define @t587 () (tptp.hAPP tptp.nat @t44 @t350 @t558)) % 0.94/1.18 (define @t588 () (tptp.hAPP tptp.nat tptp.nat @t587 @t562)) % 0.94/1.18 (define @t589 () (tptp.hAPP tptp.nat tptp.nat @t565 @t558)) % 0.94/1.18 (define @t590 () (@list @t562 @t558)) % 0.94/1.18 (define @t591 () (tptp.hAPP tptp.nat @t44 @t350 @t280)) % 0.94/1.18 (define @t592 () (tptp.hAPP tptp.nat @t44 @t350 @t281)) % 0.94/1.18 (define @t593 () (tptp.hAPP tptp.nat tptp.nat @t592 @t293)) % 0.94/1.18 (define @t594 () (@var "K" $$unsorted)) % 0.94/1.18 (define @t595 () (tptp.hAPP tptp.nat @t44 @t350 @t594)) % 0.94/1.18 (define @t596 () (tptp.hAPP tptp.nat tptp.nat @t595 @t267)) % 0.94/1.18 (define @t597 () (tptp.hAPP tptp.nat tptp.nat @t595 @t570)) % 0.94/1.18 (define @t598 () (@list @t594 @t570 @t267)) % 0.94/1.18 (define @t599 () (tptp.hAPP tptp.nat @t44 @t350 @t570)) % 0.94/1.18 (define @t600 () (tptp.hAPP tptp.nat tptp.nat @t599 @t594)) % 0.94/1.18 (define @t601 () (tptp.hAPP tptp.nat @t179 @t273 @t558)) % 0.94/1.18 (define @t602 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t601 @t562))) % 0.94/1.18 (define @t603 () (@var "I" $$unsorted)) % 0.94/1.18 (define @t604 () (tptp.hAPP tptp.nat @t179 @t273 @t603)) % 0.94/1.18 (define @t605 () (@var "J_2" $$unsorted)) % 0.94/1.18 (define @t606 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t604 @t605))) % 0.94/1.18 (define @t607 () (@list @t559 @t603 @t605)) % 0.94/1.18 (define @t608 () (@var "N_3" $$unsorted)) % 0.94/1.18 (define @t609 () (tptp.inj_on tptp.nat tptp.nat)) % 0.94/1.18 (define @t610 () (tptp.fun @t179 tptp.bool)) % 0.94/1.18 (define @t611 () (tptp.hAPP tptp.nat @t44 @t350 @t603)) % 0.94/1.18 (define @t612 () (tptp.hAPP tptp.nat @t179 @t178 (tptp.hAPP tptp.nat tptp.nat @t611 @t605))) % 0.94/1.18 (define @t613 () (@list @t603 @t605)) % 0.94/1.18 (define @t614 () (tptp.hAPP tptp.nat @t44 @t350 @t605)) % 0.94/1.18 (define @t615 () (tptp.hAPP tptp.nat tptp.nat @t614 @t562)) % 0.94/1.18 (define @t616 () (tptp.hAPP tptp.nat @t179 @t178 @t603)) % 0.94/1.18 (define @t617 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t616 @t605))) % 0.94/1.18 (define @t618 () (@list @t562 @t603 @t605)) % 0.94/1.18 (define @t619 () (tptp.hAPP tptp.nat tptp.nat @t565 @t605)) % 0.94/1.18 (define @t620 () (tptp.hAPP tptp.nat tptp.nat @t614 @t559)) % 0.94/1.18 (define @t621 () (tptp.hAPP tptp.nat tptp.nat @t611 @t559)) % 0.94/1.18 (define @t622 () (tptp.hAPP tptp.nat @t179 @t178 @t621)) % 0.94/1.18 (define @t623 () (@var "L_2" $$unsorted)) % 0.94/1.18 (define @t624 () (tptp.hAPP tptp.nat tptp.nat @t614 @t623)) % 0.94/1.18 (define @t625 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t178 @t559) @t623))) % 0.94/1.18 (define @t626 () (@list @t559 @t623 @t603 @t605)) % 0.94/1.18 (define @t627 () (tptp.hAPP tptp.nat @t179 @t178 @t562)) % 0.94/1.18 (define @t628 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t627 @t558))) % 0.94/1.18 (define @t629 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t616 @t559))) % 0.94/1.18 (define @t630 () (tptp.hAPP tptp.nat @t179 @t273 @t570)) % 0.94/1.18 (define @t631 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t630 @t267))) % 0.94/1.18 (define @t632 () (or @t574 @t575)) % 0.94/1.18 (define @t633 () (@var "K_2" $$unsorted)) % 0.94/1.18 (define @t634 () (tptp.hAPP tptp.nat tptp.nat @t599 @t633)) % 0.94/1.18 (define @t635 () (@list @t633)) % 0.94/1.18 (define @t636 () (tptp.hAPP tptp.nat @t179 @t273 @t621)) % 0.94/1.18 (define @t637 () (tptp.hAPP tptp.nat tptp.nat @t333 @t382)) % 0.94/1.18 (define @t638 () (@var "J_1" $$unsorted)) % 0.94/1.18 (define @t639 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t273 @t361) @t638))) % 0.94/1.18 (define @t640 () (@var "J" $$unsorted)) % 0.94/1.18 (define @t641 () (tptp.hAPP tptp.nat @t179 @t178 @t148)) % 0.94/1.18 (define @t642 () (tptp.hAPP tptp.nat @t179 @t273 @t280)) % 0.94/1.18 (define @t643 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t642 @t593))) % 0.94/1.18 (define @t644 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t642 @t281))) % 0.94/1.18 (define @t645 () (@list @t281 @t280 @t293)) % 0.94/1.18 (define @t646 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t578 @t593))) % 0.94/1.18 (define @t647 () (@var "L_1" $$unsorted)) % 0.94/1.18 (define @t648 () (tptp.finite_card @t15)) % 0.94/1.18 (define @t649 () (tptp.hAPP @t37 tptp.nat @t648 @t364)) % 0.94/1.18 (define @t650 () (tptp.hAPP @t34 tptp.nat @t33 @t336)) % 0.94/1.18 (define @t651 () (tptp.hAPP tptp.nat @t179 @t273 @t650)) % 0.94/1.18 (define @t652 () (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t36 @t364))) % 0.94/1.18 (define @t653 () (@list @t13 @t15 @t333 @t336 @t364)) % 0.94/1.18 (define @t654 () (@list @t15 @t13 @t333 @t336)) % 0.94/1.18 (define @t655 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t13 @t58 @t110 @t214) @t336))) % 0.94/1.18 (define @t656 () (@list @t214)) % 0.94/1.18 (define @t657 () (tptp.finite_finite_1 @t13)) % 0.94/1.18 (define @t658 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t657 @t336))) % 0.94/1.18 (define @t659 () (tptp.inj_on @t15 @t13)) % 0.94/1.18 (define @t660 () (tptp.fun @t15 @t34)) % 0.94/1.18 (define @t661 () (tptp.fun @t30 tptp.bool)) % 0.94/1.18 (define @t662 () (tptp.fun @t34 @t58)) % 0.94/1.18 (define @t663 () (tptp.hAPP @t34 tptp.nat @t33 @t364)) % 0.94/1.18 (define @t664 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t178 @t650) @t663))) % 0.94/1.18 (define @t665 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t657 @t364))) % 0.94/1.18 (define @t666 () (tptp.combb tptp.bool @t103 @t13)) % 0.94/1.18 (define @t667 () (tptp.fun @t13 @t103)) % 0.94/1.18 (define @t668 () (tptp.fun @t34 @t667)) % 0.94/1.18 (define @t669 () (tptp.combs @t13 tptp.bool tptp.bool)) % 0.94/1.18 (define @t670 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t657 (tptp.hAPP @t34 @t34 @t94 @t543)))) % 0.94/1.18 (define @t671 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t657 @t338))) % 0.94/1.18 (define @t672 () (tptp.combc tptp.nat tptp.nat tptp.bool)) % 0.94/1.18 (define @t673 () (tptp.hAPP @t195 @t195 @t672 @t178)) % 0.94/1.18 (define @t674 () (tptp.collect tptp.nat)) % 0.94/1.18 (define @t675 () (tptp.finite_finite_1 tptp.nat)) % 0.94/1.18 (define @t676 () (@list @t594)) % 0.94/1.18 (define @t677 () (tptp.hAPP @t195 @t195 @t672 @t273)) % 0.94/1.18 (define @t678 () (tptp.finite_finite @t13)) % 0.94/1.18 (define @t679 () (tptp.fun tptp.product_unit tptp.bool)) % 0.94/1.18 (define @t680 () (tptp.finite_card tptp.nat)) % 0.94/1.18 (define @t681 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t657 @t242))) % 0.94/1.18 (define @t682 () (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t36 @t376))) % 0.94/1.18 (define @t683 () (tptp.top_top @t101)) % 0.94/1.18 (define @t684 () (tptp.finite_finite_1 @t100)) % 0.94/1.18 (define @t685 () (tptp.option @t13)) % 0.94/1.18 (define @t686 () (tptp.fun @t685 tptp.bool)) % 0.94/1.18 (define @t687 () (tptp.hAPP @t34 tptp.nat @t33 @t242)) % 0.94/1.18 (define @t688 () (tptp.hBOOL (tptp.hAPP @t60 tptp.bool (tptp.finite_finite_1 @t18) @t375))) % 0.94/1.18 (define @t689 () (tptp.hAPP @t37 @t101 (tptp.hAPP @t34 @t102 @t99 @t336) @t364)) % 0.94/1.18 (define @t690 () (tptp.hAPP @t101 tptp.nat (tptp.finite_card @t100) @t689)) % 0.94/1.18 (define @t691 () (= @t690 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t44 @t350 @t650) @t649))) % 0.94/1.18 (define @t692 () (@list @t15 @t13 @t364 @t336)) % 0.94/1.18 (define @t693 () (tptp.hAPP @t37 @t13 @t232 @t336)) % 0.94/1.18 (define @t694 () (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t36 @t336))) % 0.94/1.18 (define @t695 () (tptp.hBOOL (tptp.hAPP @t47 tptp.bool (tptp.hAPP @t30 @t48 (tptp.hAPP @t13 @t49 (tptp.hAPP @t51 @t50 @t46 @t333) @t124) @t332) @t232))) % 0.94/1.18 (define @t696 () (and @t658 @t652)) % 0.94/1.18 (define @t697 () (tptp.hBOOL (tptp.hAPP @t101 tptp.bool @t684 @t689))) % 0.94/1.18 (define @t698 () (@list @t13 @t15 @t336 @t364)) % 0.94/1.18 (define @t699 () (tptp.hAPP @t15 @t38 @t365 @t117)) % 0.94/1.18 (define @t700 () (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t699 @t336))) % 0.94/1.18 (define @t701 () (tptp.hAPP tptp.nat @t179 @t673 @t361)) % 0.94/1.18 (define @t702 () (tptp.fun tptp.nat @t103)) % 0.94/1.18 (define @t703 () (tptp.hAPP @t104 (tptp.fun @t179 @t702) (tptp.combb tptp.bool @t103 tptp.nat) tptp.fconj)) % 0.94/1.18 (define @t704 () (tptp.combs tptp.nat tptp.bool tptp.bool)) % 0.94/1.18 (define @t705 () (tptp.fun @t179 @t179)) % 0.94/1.18 (define @t706 () (tptp.member tptp.nat)) % 0.94/1.18 (define @t707 () (tptp.hBOOL (tptp.hAPP @t179 tptp.bool (tptp.hAPP tptp.nat @t610 @t706 @t234) @t608))) % 0.94/1.18 (define @t708 () (tptp.hBOOL (tptp.hAPP @t179 tptp.bool @t675 @t608))) % 0.94/1.18 (define @t709 () (@list @t608)) % 0.94/1.18 (define @t710 () (tptp.hAPP tptp.nat @t179 @t178 @t234)) % 0.94/1.18 (define @t711 () (@var "U" $$unsorted)) % 0.94/1.18 (define @t712 () (tptp.zero_zero tptp.nat)) % 0.94/1.18 (define @t713 () (tptp.hAPP tptp.nat @t179 @t178 @t712)) % 0.94/1.18 (define @t714 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t713 @t558))) % 0.94/1.18 (define @t715 () (= @t558 @t712)) % 0.94/1.18 (define @t716 () (not @t715)) % 0.94/1.18 (define @t717 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t713 @t267))) % 0.94/1.18 (define @t718 () (= @t267 @t712)) % 0.94/1.18 (define @t719 () (@list @t562)) % 0.94/1.18 (define @t720 () (= @t570 @t712)) % 0.94/1.18 (define @t721 () (tptp.hAPP tptp.nat tptp.nat @t599 @t267)) % 0.94/1.18 (define @t722 () (tptp.hAPP tptp.nat @t179 @t273 @t267)) % 0.94/1.18 (define @t723 () (= @t324 @t69)) % 0.94/1.18 (define @t724 () (tptp.zero_neq_one @t13)) % 0.94/1.18 (define @t725 () (forall @t247 (= (tptp.hAPP @t13 @t13 @t435 @t69) @t228))) % 0.94/1.18 (define @t726 () (tptp.comm_monoid_add @t13)) % 0.94/1.18 (define @t727 () (= @t230 @t69)) % 0.94/1.18 (define @t728 () (tptp.hAPP @t13 @t13 @t485 @t144)) % 0.94/1.18 (define @t729 () (tptp.linord219039673up_add @t13)) % 0.94/1.18 (define @t730 () (forall @t247 (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t64 @t69) @t227) @t228))) % 0.94/1.18 (define @t731 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t398 @t69))) % 0.94/1.18 (define @t732 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t400 @t69))) % 0.94/1.18 (define @t733 () (tptp.ordere216010020id_add @t13)) % 0.94/1.18 (define @t734 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t398 @t440))) % 0.94/1.18 (define @t735 () (tptp.hAPP @t13 @t34 @t380 @t69)) % 0.94/1.18 (define @t736 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t735 @t227))) % 0.94/1.18 (define @t737 () (@list @t225 @t302 @t227)) % 0.94/1.18 (define @t738 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t735 @t225))) % 0.94/1.18 (define @t739 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t475) @t69))) % 0.94/1.18 (define @t740 () (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t307 @t69)) @t739)) % 0.94/1.18 (define @t741 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t310 @t69))) % 0.94/1.18 (define @t742 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t307 @t440))) % 0.94/1.18 (define @t743 () (=> @t316 @t742)) % 0.94/1.18 (define @t744 () (tptp.hAPP @t13 @t34 @t77 @t69)) % 0.94/1.18 (define @t745 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t744 @t227))) % 0.94/1.18 (define @t746 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t744 @t475))) % 0.94/1.18 (define @t747 () (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t744 @t225)) @t746)) % 0.94/1.18 (define @t748 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t248 @t69))) % 0.94/1.18 (define @t749 () (forall @t250 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t728) @t69)) @t748))) % 0.94/1.18 (define @t750 () (= @t650 @t712)) % 0.94/1.18 (define @t751 () (=> (not @t658) @t750)) % 0.94/1.18 (define @t752 () (tptp.hAPP @t13 @t27 @t64 @t62)) % 0.94/1.18 (define @t753 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 @t148))) % 0.94/1.18 (define @t754 () (not @t753)) % 0.94/1.18 (define @t755 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 @t267))) % 0.94/1.18 (define @t756 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 @t712))) % 0.94/1.18 (define @t757 () (not @t756)) % 0.94/1.18 (define @t758 () (@list @t267 @t142)) % 0.94/1.18 (define @t759 () (= (= @t728 @t69) @t727)) % 0.94/1.18 (define @t760 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t712)) % 0.94/1.18 (define @t761 () (@list @t143 @t144)) % 0.94/1.18 (define @t762 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t558)) % 0.94/1.18 (define @t763 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t562)) % 0.94/1.18 (define @t764 () (tptp.hAPP tptp.nat @t179 @t178 @t763)) % 0.94/1.18 (define @t765 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t764 @t762))) % 0.94/1.18 (define @t766 () (tptp.hAPP tptp.nat @t179 @t273 @t762)) % 0.94/1.18 (define @t767 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t267)) % 0.94/1.18 (define @t768 () (tptp.hAPP tptp.nat @t179 @t273 @t767)) % 0.94/1.18 (define @t769 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t768 @t570))) % 0.94/1.18 (define @t770 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t570)) % 0.94/1.18 (define @t771 () (@list @t267 @t570)) % 0.94/1.18 (define @t772 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t563 @t762))) % 0.94/1.18 (define @t773 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t273 @t763) @t558))) % 0.94/1.18 (define @t774 () (@var "Nat_3" $$unsorted)) % 0.94/1.18 (define @t775 () (@var "Nat_4" $$unsorted)) % 0.94/1.18 (define @t776 () (tptp.hAPP tptp.nat tptp.nat @t565 @t762)) % 0.94/1.18 (define @t777 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t44 @t350 @t763) @t558)) % 0.94/1.18 (define @t778 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t589)) % 0.94/1.18 (define @t779 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t571 @t770))) % 0.94/1.18 (define @t780 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t573 @t767))) % 0.94/1.18 (define @t781 () (= @t779 (= @t267 @t570))) % 0.94/1.18 (define @t782 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t627 @t762))) % 0.94/1.18 (define @t783 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t764 @t558))) % 0.94/1.18 (define @t784 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t603)) % 0.94/1.18 (define @t785 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t178 @t784) @t559))) % 0.94/1.18 (define @t786 () (@list @t603 @t562)) % 0.94/1.18 (define @t787 () (or (and (= @t570 @t760) @t718) (and @t720 (= @t267 @t760)))) % 0.94/1.18 (define @t788 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t271)) % 0.94/1.18 (define @t789 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t640)) % 0.94/1.18 (define @t790 () (@list @t640)) % 0.94/1.18 (define @t791 () (@var "Nat_2" $$unsorted)) % 0.94/1.18 (define @t792 () (@var "Nat_1" $$unsorted)) % 0.94/1.18 (define @t793 () (tptp.comm_semiring_1 @t13)) % 0.94/1.18 (define @t794 () (tptp.hAPP @t13 @t13 @t472 @t437)) % 0.94/1.18 (define @t795 () (tptp.hAPP @t13 @t13 @t435 @t794)) % 0.94/1.18 (define @t796 () (@list @t227 @t302 @t437)) % 0.94/1.18 (define @t797 () (tptp.hAPP @t13 @t27 @t64 @t440)) % 0.94/1.18 (define @t798 () (@var "M_4" $$unsorted)) % 0.94/1.18 (define @t799 () (tptp.combc tptp.nat @t179 tptp.bool)) % 0.94/1.18 (define @t800 () (tptp.fun tptp.nat @t610)) % 0.94/1.18 (define @t801 () (tptp.hAPP @t179 tptp.nat @t680 (tptp.hAPP @t179 @t179 @t674 (tptp.hAPP @t179 @t179 (tptp.hAPP @t702 @t705 @t704 (tptp.hAPP @t179 @t702 @t703 (tptp.hAPP @t179 @t179 (tptp.hAPP @t800 @t705 @t799 @t706) @t798))) (tptp.hAPP tptp.nat @t179 @t673 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t361)))))) % 0.94/1.18 (define @t802 () (tptp.hAPP @t179 tptp.nat @t680 (tptp.hAPP @t179 @t179 @t674 (tptp.hAPP @t179 @t179 (tptp.hAPP @t702 @t705 @t704 (tptp.hAPP @t179 @t702 @t703 (tptp.hAPP @t179 @t179 (tptp.hAPP @t800 @t705 @t799 (tptp.hAPP @t44 @t800 (tptp.hAPP @t800 (tptp.fun @t44 @t800) (tptp.combb tptp.nat @t610 tptp.nat) @t706) tptp.suc)) @t798))) @t701)))) % 0.94/1.18 (define @t803 () (tptp.hBOOL (tptp.hAPP @t179 tptp.bool (tptp.hAPP tptp.nat @t610 @t706 @t712) @t798))) % 0.94/1.18 (define @t804 () (@list @t361 @t798)) % 0.94/1.18 (define @t805 () (exists @t275 (= @t558 @t788))) % 0.94/1.18 (define @t806 () (@var "N_2" $$unsorted)) % 0.94/1.18 (define @t807 () (tptp.hAPP tptp.nat @t13 @t333 @t806)) % 0.94/1.18 (define @t808 () (tptp.hAPP tptp.nat @t13 @t333 @t267)) % 0.94/1.18 (define @t809 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t382)) % 0.94/1.18 (define @t810 () (tptp.hAPP tptp.nat @t13 @t333 @t809)) % 0.94/1.18 (define @t811 () (tptp.hAPP tptp.nat @t13 @t333 @t382)) % 0.94/1.18 (define @t812 () (@list @t267 @t806 @t333)) % 0.94/1.18 (define @t813 () (tptp.hAPP @t13 @t34 @t77 @t808)) % 0.94/1.18 (define @t814 () (forall @t386 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t811) @t810)))) % 0.94/1.18 (define @t815 () (@var "M_1" $$unsorted)) % 0.94/1.18 (define @t816 () (not (forall @t790 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t616 @t640)) (not (= @t559 @t789)))))) % 0.94/1.18 (define @t817 () (@list @t603 @t559)) % 0.94/1.18 (define @t818 () (@var "Nat" $$unsorted)) % 0.94/1.18 (define @t819 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 @t382))) % 0.94/1.18 (define @t820 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 @t809))) % 0.94/1.18 (define @t821 () (@var "E" $$unsorted)) % 0.94/1.18 (define @t822 () (=> @t658 (= @t650 (tptp.hAPP @t34 tptp.nat (tptp.hAPP tptp.nat @t35 (tptp.hAPP @t42 @t41 (tptp.hAPP @t45 @t43 @t40 @t350) (tptp.hAPP tptp.nat @t42 (tptp.combk tptp.nat @t13) @t349)) @t712) @t336)))) % 0.94/1.18 (define @t823 () (tptp.ord_atLeastLessThan tptp.nat)) % 0.94/1.18 (define @t824 () (tptp.hAPP tptp.nat @t179 (tptp.hAPP tptp.nat @t195 @t823 @t712) @t221)) % 0.94/1.18 (define @t825 () (tptp.image tptp.arrow_660593299e_indi tptp.nat)) % 0.94/1.18 (define @t826 () (tptp.fun @t11 @t179)) % 0.94/1.18 (define @t827 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t13 @t58 @t110 @t144) @t75))) % 0.94/1.18 (define @t828 () (tptp.hAPP @t30 @t97 @t96 @t333)) % 0.94/1.18 (define @t829 () (tptp.hAPP @t37 @t34 @t828 @t336)) % 0.94/1.18 (define @t830 () (tptp.hAPP @t13 @t58 @t110 @t143)) % 0.94/1.18 (define @t831 () (tptp.hAPP @t15 @t13 @t333 @t117)) % 0.94/1.18 (define @t832 () (= @t479 @t831)) % 0.94/1.18 (define @t833 () (@var "Ha" $$unsorted)) % 0.94/1.18 (define @t834 () (tptp.image @t13 @t15)) % 0.94/1.18 (define @t835 () (tptp.fun @t34 @t37)) % 0.94/1.18 (define @t836 () (@var "L" $$unsorted)) % 0.94/1.18 (define @t837 () (@var "H" $$unsorted)) % 0.94/1.18 (define @t838 () (@var "Da" $$unsorted)) % 0.94/1.18 (define @t839 () (tptp.hAPP @t13 @t34 (tptp.hAPP @t13 @t78 @t92 @t165) @t838)) % 0.94/1.18 (define @t840 () (tptp.hAPP @t13 @t34 (tptp.hAPP @t13 @t78 @t92 @t144) @t143)) % 0.94/1.18 (define @t841 () (@list @t144 @t143 @t165 @t838)) % 0.94/1.18 (define @t842 () (tptp.hAPP @t18 @t835 @t834 @t333)) % 0.94/1.18 (define @t843 () (tptp.hAPP @t34 @t37 @t842 @t336)) % 0.94/1.18 (define @t844 () (tptp.hAPP @t37 @t38 @t552 @t843)) % 0.94/1.18 (define @t845 () (tptp.hAPP @t27 @t58 @t425 @t333)) % 0.94/1.18 (define @t846 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t845 @t336))) % 0.94/1.18 (define @t847 () (tptp.image @t13 @t13)) % 0.94/1.18 (define @t848 () (tptp.hAPP @t27 @t95 @t847 @t333)) % 0.94/1.18 (define @t849 () (tptp.hAPP @t34 @t34 @t848 @t336)) % 0.94/1.18 (define @t850 () (@list @t13 @t333 @t336)) % 0.94/1.18 (define @t851 () (= (tptp.hAPP @t34 @t34 @t848 @t242) @t242)) % 0.94/1.18 (define @t852 () (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t845 @t242))) % 0.94/1.18 (define @t853 () (@list @t13 @t333)) % 0.94/1.18 (define @t854 () (tptp.hAPP @t34 @t37 @t842 @t364)) % 0.94/1.18 (define @t855 () (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t844 @t854))) % 0.94/1.18 (define @t856 () (tptp.hAPP @t37 tptp.nat @t648 @t843)) % 0.94/1.18 (define @t857 () (= @t856 @t650)) % 0.94/1.18 (define @t858 () (tptp.hilbert_inv_into @t15 @t13)) % 0.94/1.18 (define @t859 () (tptp.fun @t30 @t18)) % 0.94/1.18 (define @t860 () (tptp.hAPP @t30 @t18 (tptp.hAPP @t37 @t859 @t858 @t336) @t333)) % 0.94/1.18 (define @t861 () (tptp.image @t14 @t13)) % 0.94/1.18 (define @t862 () (tptp.fun @t14 tptp.bool)) % 0.94/1.18 (define @t863 () (tptp.fun @t862 @t34)) % 0.94/1.18 (define @t864 () (@var "Y_1" $$unsorted)) % 0.94/1.18 (define @t865 () (@var "AA" $$unsorted)) % 0.94/1.18 (define @t866 () (= @t479 (tptp.ti @t13 @t838))) % 0.94/1.18 (define @t867 () (= @t230 @t478)) % 0.94/1.18 (define @t868 () (= @t840 @t839)) % 0.94/1.18 (define @t869 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t165) @t838))) % 0.94/1.18 (define @t870 () (tptp.image @t15 @t14)) % 0.94/1.18 (define @t871 () (tptp.fun @t37 @t862)) % 0.94/1.18 (define @t872 () (tptp.hAPP @t37 @t34 @t828 @t376)) % 0.94/1.18 (define @t873 () (tptp.hAPP tptp.nat @t179 (tptp.hAPP tptp.nat @t195 @t823 @t594) (tptp.hAPP tptp.nat tptp.nat @t595 (tptp.hAPP @t179 tptp.nat @t680 @t336)))) % 0.94/1.18 (define @t874 () (@var "T_1" $$unsorted)) % 0.94/1.18 (define @t875 () (@var "T_2" $$unsorted)) % 0.94/1.18 (define @t876 () (tptp.fun @t875 @t874)) % 0.94/1.18 (define @t877 () (@list @t875 @t874)) % 0.94/1.18 (define @t878 () (tptp.finite_finite @t874)) % 0.94/1.18 (define @t879 () (and @t878 (tptp.finite_finite @t875))) % 0.94/1.18 (define @t880 () (@var "A" $$unsorted)) % 0.94/1.18 (define @t881 () (@var "T" $$unsorted)) % 0.94/1.18 (define @t882 () (tptp.ti @t881 @t880)) % 0.94/1.18 (define @t883 () (@list @t13 @t280 @t281)) % 0.94/1.18 (define @t884 () (@var "P" $$unsorted)) % 0.94/1.18 (define @t885 () (tptp.ti tptp.bool @t884)) % 0.94/1.18 (define @t886 () (@list @t884)) % 0.94/1.18 (define @t887 () (tptp.hBOOL @t884)) % 0.94/1.18 (define @t888 () (not @t887)) % 0.94/1.18 (define @t889 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool tptp.fNot @t884))) % 0.94/1.18 (define @t890 () (@var "R" $$unsorted)) % 0.94/1.18 (define @t891 () (@var "Q" $$unsorted)) % 0.94/1.18 (define @t892 () (tptp.hAPP @t13 @t15 @t891 @t890)) % 0.94/1.18 (define @t893 () (@list @t13 @t14 @t15 @t884 @t891 @t890)) % 0.94/1.18 (define @t894 () (tptp.hAPP @t13 @t20 @t884 @t890)) % 0.94/1.18 (define @t895 () (tptp.ti @t13 @t884)) % 0.94/1.18 (define @t896 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t103 tptp.fconj @t884) @t891))) % 0.94/1.18 (define @t897 () (tptp.hBOOL @t891)) % 0.94/1.18 (define @t898 () (not @t897)) % 0.94/1.18 (define @t899 () (@list @t891 @t884)) % 0.94/1.18 (define @t900 () (not @t896)) % 0.94/1.18 (define @t901 () (@list @t884 @t891)) % 0.94/1.18 (define @t902 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t103 tptp.fdisj @t884) @t891))) % 0.94/1.18 (define @t903 () (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t105 @t280) @t281))) % 0.94/1.18 (define @t904 () (@list false)) % 0.94/1.18 (assume @p1 (= (tptp.ti @t5 tptp.arrow_2037941124le_IIA) tptp.arrow_2037941124le_IIA)) % 0.94/1.18 (assume @p2 (= (tptp.ti @t6 tptp.arrow_2064824852le_Lin) tptp.arrow_2064824852le_Lin)) % 0.94/1.18 (assume @p3 (= (tptp.ti @t7 tptp.arrow_1111136790e_Prof) tptp.arrow_1111136790e_Prof)) % 0.94/1.18 (assume @p4 (= (tptp.ti @t10 tptp.arrow_14103264_above) tptp.arrow_14103264_above)) % 0.94/1.18 (assume @p5 (= (tptp.ti @t10 tptp.arrow_1322701812_below) tptp.arrow_1322701812_below)) % 0.94/1.18 (assume @p6 (= (tptp.ti (tptp.fun @t4 @t11) tptp.arrow_218898985ctator) tptp.arrow_218898985ctator)) % 0.94/1.18 (assume @p7 (= (tptp.ti @t12 tptp.arrow_1278947948_mkbot) tptp.arrow_1278947948_mkbot)) % 0.94/1.18 (assume @p8 (= (tptp.ti @t12 tptp.arrow_1427655034_mktop) tptp.arrow_1427655034_mktop)) % 0.94/1.18 (assume @p9 (= (tptp.ti @t5 tptp.arrow_831799591nimity) tptp.arrow_831799591nimity)) % 0.94/1.18 (assume @p10 (forall @t21 (= (tptp.ti (tptp.fun @t20 @t19) @t16) @t16))) % 0.94/1.18 (assume @p11 (forall @t25 (= (tptp.ti (tptp.fun @t24 @t23) @t22) @t22))) % 0.94/1.18 (assume @p12 (forall @t28 (= (tptp.ti @t27 @t26) @t26))) % 0.94/1.18 (assume @p13 (forall @t31 (= (tptp.ti (tptp.fun @t13 @t30) @t29) @t29))) % 0.94/1.18 (assume @p14 (forall @t25 (= (tptp.ti (tptp.fun @t24 @t19) @t32) @t32))) % 0.94/1.18 (assume @p15 (forall @t28 (= (tptp.ti @t35 @t33) @t33))) % 0.94/1.18 (assume @p16 (forall @t39 (= (tptp.ti @t38 @t36) @t36))) % 0.94/1.18 (assume @p17 (forall @t28 (= (tptp.ti (tptp.fun @t45 @t43) @t40) @t40))) % 0.94/1.18 (assume @p18 (forall @t31 (= (tptp.ti (tptp.fun @t51 @t50) @t46) @t46))) % 0.94/1.18 (assume @p19 (forall @t31 (= (tptp.ti @t56 @t52) @t52))) % 0.94/1.18 (assume @p20 (forall @t31 (= (tptp.ti (tptp.fun @t18 @t58) @t57) @t57))) % 0.94/1.18 (assume @p21 (forall @t31 (= (tptp.ti (tptp.fun @t34 @t61) @t59) @t59))) % 0.94/1.18 (assume @p22 (forall @t28 (=> @t63 (= (tptp.ti @t13 @t62) @t62)))) % 0.94/1.18 (assume @p23 (forall @t28 (=> @t66 @t65))) % 0.94/1.18 (assume @p24 (forall @t28 (=> @t67 @t65))) % 0.94/1.18 (assume @p25 (forall @t28 (=> @t68 @t65))) % 0.94/1.18 (assume @p26 (forall @t28 (=> @t70 (= (tptp.ti @t13 @t69) @t69)))) % 0.94/1.18 (assume @p27 (forall @t28 (= (tptp.ti @t13 @t71) @t71))) % 0.94/1.18 (assume @p28 (forall @t31 (= (tptp.ti (tptp.fun @t34 @t73) @t72) @t72))) % 0.94/1.18 (assume @p29 (forall @t28 (= (tptp.ti (tptp.fun tptp.bool @t51) @t74) @t74))) % 0.94/1.18 (assume @p30 (forall @t28 (=> @t76 (= (tptp.ti @t34 @t75) @t75)))) % 0.94/1.18 (assume @p31 (= (tptp.ti @t44 tptp.suc) tptp.suc)) % 0.94/1.18 (assume @p32 (forall @t28 (=> @t79 (= (tptp.ti @t78 @t77) @t77)))) % 0.94/1.18 (assume @p33 (forall @t39 (=> @t81 (= (tptp.ti (tptp.fun @t15 @t37) @t80) @t80)))) % 0.94/1.18 (assume @p34 (forall @t28 (=> @t83 (= (tptp.ti @t13 @t82) @t82)))) % 0.94/1.18 (assume @p35 (forall @t31 (= (tptp.ti @t86 @t84) @t84))) % 0.94/1.18 (assume @p36 (forall @t21 (= (tptp.ti (tptp.fun @t91 @t89) @t87) @t87))) % 0.94/1.18 (assume @p37 (forall @t28 (=> @t93 (= (tptp.ti (tptp.fun @t13 @t78) @t92) @t92)))) % 0.94/1.18 (assume @p38 (forall @t28 (= (tptp.ti @t95 @t94) @t94))) % 0.94/1.18 (assume @p39 (forall @t98 (= (tptp.ti (tptp.fun @t30 @t97) @t96) @t96))) % 0.94/1.18 (assume @p40 (forall @t31 (= (tptp.ti (tptp.fun @t34 @t102) @t99) @t99))) % 0.94/1.18 (assume @p41 (= (tptp.ti tptp.bool tptp.fFalse) tptp.fFalse)) % 0.94/1.18 (assume @p42 (= (tptp.ti @t103 tptp.fNot) tptp.fNot)) % 0.94/1.18 (assume @p43 (= (tptp.ti tptp.bool tptp.fTrue) tptp.fTrue)) % 0.94/1.18 (assume @p44 (= (tptp.ti @t104 tptp.fconj) tptp.fconj)) % 0.94/1.18 (assume @p45 (= (tptp.ti @t104 tptp.fdisj) tptp.fdisj)) % 0.94/1.18 (assume @p46 (forall @t28 (= (tptp.ti @t78 @t105) @t105))) % 0.94/1.18 (assume @p47 (forall @t109 (= (tptp.hAPP @t13 @t14 (tptp.ti @t17 @t107) @t106) @t108))) % 0.94/1.18 (assume @p48 (forall @t109 (= (tptp.hAPP @t13 @t14 @t107 (tptp.ti @t13 @t106)) @t108))) % 0.94/1.18 (assume @p49 (forall (@list @t14 @t13 @t107 @t106) (= (tptp.ti @t14 @t108) @t108))) % 0.94/1.18 (assume @p50 (forall (@list @t107) (= (tptp.hBOOL (tptp.ti tptp.bool @t107)) (tptp.hBOOL @t107)))) % 0.94/1.18 (assume @p51 (forall @t28 (= (tptp.ti @t111 @t110) @t110))) % 0.94/1.18 (assume @p52 (= (tptp.ti @t4 tptp.f) tptp.f)) % 0.94/1.18 (assume @p53 (= (tptp.ti @t2 tptp.lab) tptp.lab)) % 0.94/1.18 (assume @p54 (= (tptp.ti @t2 tptp.lba) tptp.lba)) % 0.94/1.18 (assume @p55 (= (tptp.ti @t3 tptp.p) tptp.p)) % 0.94/1.18 (assume @p56 (= (tptp.ti tptp.arrow_490897120le_alt tptp.a) tptp.a)) % 0.94/1.18 (assume @p57 (= (tptp.ti tptp.arrow_490897120le_alt tptp.b) tptp.b)) % 0.94/1.18 (assume @p58 (= (tptp.ti tptp.arrow_490897120le_alt tptp.c) tptp.c)) % 0.94/1.18 (assume @p59 (= (tptp.ti tptp.arrow_490897120le_alt tptp.d) tptp.d)) % 0.94/1.18 (assume @p60 (= (tptp.ti tptp.arrow_490897120le_alt tptp.e) tptp.e)) % 0.94/1.18 (assume @p61 (= (tptp.ti @t112 tptp.h) tptp.h)) % 0.94/1.18 (assume @p62 (= (tptp.ti tptp.nat tptp.n) tptp.n)) % 0.94/1.18 (assume @p63 (tptp.hBOOL (tptp.hAPP @t4 tptp.bool tptp.arrow_2037941124le_IIA tptp.f))) % 0.94/1.18 (assume @p64 (tptp.hBOOL (tptp.hAPP @t4 tptp.bool tptp.arrow_831799591nimity tptp.f))) % 0.94/1.18 (assume @p65 (not (= tptp.c tptp.d))) % 0.94/1.18 (assume @p66 (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t114 @t113 tptp.p) tptp.arrow_1111136790e_Prof))) % 0.94/1.18 (assume @p67 (forall @t134 (= (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t122 (tptp.hAPP tptp.arrow_490897120le_alt @t2 @t133 @t124))) (and @t132 (=> @t127 @t130) (=> @t128 @t123))))) % 0.94/1.18 (assume @p68 (forall @t134 (= (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t122 (tptp.hAPP tptp.arrow_490897120le_alt @t2 @t135 @t124))) (and @t128 (=> @t131 @t130) (=> @t132 @t123))))) % 0.94/1.18 (assume @p69 (forall @t164 (=> @t163 (=> @t162 (=> @t161 (=> @t158 @t155)))))) % 0.94/1.18 (assume @p70 (forall @t164 (=> @t163 (=> @t162 (=> @t161 (=> @t158 (=> @t154 (=> @t153 (=> @t152 (=> @t147 @t141)))))))))) % 0.94/1.18 (assume @p71 (forall (@list @t136 @t142 @t165 @t144 @t143) (=> @t163 (=> (not (= @t157 @t168)) (=> (not (= @t160 @t168)) (=> @t154 (=> @t153 (=> (forall @t151 (= @t150 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t167 @t149)))) (= @t147 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t167 @t137))))))))))) % 0.94/1.18 (assume @p72 (forall @t164 (=> @t163 (=> @t162 @t155)))) % 0.94/1.18 (assume @p73 (forall (@list @t136 @t142 @t144 @t143) (=> @t163 (=> @t154 (=> @t153 (=> (forall @t151 (= @t150 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t169 @t149)))) (= @t147 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t169 @t137))))))))) % 0.94/1.18 (assume @p74 (forall @t151 (= (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t173 @t170)) (and (=> @t181 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t173 @t183))) (=> @t182 (and (=> @t175 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t173 @t177))) (=> @t176 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t173 @t171))))))))) % 0.94/1.18 (assume @p75 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t173 (tptp.hAPP tptp.arrow_660593299e_indi @t2 tptp.p (tptp.hAPP tptp.nat tptp.arrow_660593299e_indi (tptp.hAPP @t112 @t185 (tptp.hAPP @t11 (tptp.fun @t112 @t185) (tptp.hilbert_inv_into tptp.arrow_660593299e_indi tptp.nat) @t184) tptp.h) tptp.n))))) % 0.94/1.18 (assume @p76 @t211) % 0.94/1.18 (assume @p77 (= @t212 @t211)) % 0.94/1.18 (assume @p78 (forall (@list @t13 @t15 @t142) (= (forall (@list @t216) (tptp.hBOOL (tptp.hAPP @t54 tptp.bool @t142 @t216))) (forall @t215 (tptp.hBOOL (tptp.hAPP @t54 tptp.bool @t142 (tptp.hAPP @t15 @t54 (tptp.hAPP @t13 @t85 @t84 @t214) @t213))))))) % 0.94/1.18 (assume @p79 (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t114 @t113 @t209) tptp.arrow_1111136790e_Prof))) % 0.94/1.18 (assume @p80 @t218) % 0.94/1.18 (assume @p81 @t220) % 0.94/1.18 (assume @p82 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t178 tptp.n) @t221))) % 0.94/1.18 (assume @p83 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t112 @t223 @t222 tptp.h) @t184))) % 0.94/1.18 (assume @p84 (forall (@list @t15 @t13 @t227 @t225 @t226 @t224) (=> (= (tptp.hAPP @t15 @t54 (tptp.hAPP @t13 @t85 @t84 @t227) @t225) (tptp.hAPP @t15 @t54 (tptp.hAPP @t13 @t85 @t84 @t226) @t224)) (not (=> (= @t228 (tptp.ti @t13 @t226)) (not (= (tptp.ti @t15 @t225) (tptp.ti @t15 @t224)))))))) % 0.94/1.18 (assume @p85 (forall (@list @t15 @t13 @t144 @t143 @t139 @t138) (= (= (tptp.hAPP @t15 @t54 (tptp.hAPP @t13 @t85 @t84 @t144) @t143) (tptp.hAPP @t15 @t54 (tptp.hAPP @t13 @t85 @t84 @t139) @t138)) (and (= @t230 (tptp.ti @t13 @t139)) (= @t229 (tptp.ti @t15 @t138)))))) % 0.94/1.18 (assume @p86 (forall @t241 (= (tptp.hBOOL (tptp.hAPP @t4 tptp.bool tptp.arrow_2037941124le_IIA @t232)) (forall @t240 (=> @t239 (forall @t238 (=> (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t114 @t113 @t231) tptp.arrow_1111136790e_Prof)) (forall @t215 (=> (forall @t151 (= @t237 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t233 (tptp.hAPP tptp.arrow_660593299e_indi @t2 @t231 @t148))))) (= @t236 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t233 (tptp.hAPP @t3 @t2 @t232 @t231))))))))))))) % 0.94/1.18 (assume @p87 (forall @t241 (= (tptp.hBOOL (tptp.hAPP @t4 tptp.bool tptp.arrow_831799591nimity @t232)) (forall @t240 (=> @t239 (forall @t215 (=> (forall @t151 @t237) @t236))))))) % 0.94/1.18 (assume @p88 (forall @t243 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t242 @t117)))) % 0.94/1.18 (assume @p89 (forall @t243 (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t244 @t242)))) % 0.94/1.18 (assume @p90 (forall (@list @t15 @t14 @t13 @t245 @t144 @t143) (= (tptp.hAPP @t88 @t13 (tptp.hAPP @t91 @t89 @t87 @t245) (tptp.hAPP @t14 @t88 (tptp.hAPP @t15 (tptp.fun @t14 @t88) (tptp.product_Pair @t15 @t14) @t144) @t143)) (tptp.hAPP @t14 @t13 (tptp.hAPP @t15 @t90 @t245 @t144) @t143)))) % 0.94/1.18 (assume @p91 (forall @t98 (=> @t83 (forall @t246 (= (tptp.hAPP @t15 @t13 (tptp.top_top @t30) @t117) @t82))))) % 0.94/1.18 (assume @p92 (forall @t28 (=> @t83 (forall @t247 (not (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t82) @t227))))))) % 0.94/1.18 (assume @p93 (forall @t28 (=> @t83 (forall @t250 (= (not @t249) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t248 @t82))))))) % 0.94/1.18 (assume @p94 (tptp.hBOOL (tptp.hAPP @t5 tptp.bool (tptp.hAPP @t4 @t254 @t253 tptp.f) @t252))) % 0.94/1.18 (assume @p95 (= @t220 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t259 (tptp.hAPP @t3 @t2 tptp.f (tptp.hAPP @t2 @t3 (tptp.hAPP @t203 @t258 @t257 (tptp.hAPP @t2 @t203 (tptp.hAPP @t200 @t256 @t255 @t208) tptp.lab)) tptp.lba)))))) % 0.94/1.18 (assume @p96 (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t261 @t260 tptp.lab) tptp.arrow_2064824852le_Lin))) % 0.94/1.18 (assume @p97 (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t261 @t260 tptp.lba) tptp.arrow_2064824852le_Lin))) % 0.94/1.18 (assume @p98 (not (= tptp.a tptp.b))) % 0.94/1.18 (assume @p99 @t263) % 0.94/1.18 (assume @p100 @t264) % 0.94/1.18 (assume @p101 (not @t265)) % 0.94/1.18 (assume @p102 (not @t266)) % 0.94/1.18 (assume @p103 (forall @t268 (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t114 @t113 (tptp.hAPP @t2 @t3 (tptp.hAPP @t203 @t258 @t257 (tptp.hAPP @t2 @t203 (tptp.hAPP @t200 @t256 @t255 (tptp.hAPP @t11 @t200 @t201 (tptp.hAPP tptp.nat @t11 @t207 @t267))) tptp.lab)) tptp.lba)) tptp.arrow_1111136790e_Prof)))) % 0.94/1.18 (assume @p104 (not (forall (@list @t269) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t262 @t269)) (not (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t261 @t260 @t269) tptp.arrow_2064824852le_Lin))))))) % 0.94/1.18 (assume @p105 (not (forall (@list @t270) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t259 @t270)) (not (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t261 @t260 @t270) tptp.arrow_2064824852le_Lin))))))) % 0.94/1.18 (assume @p106 (forall @t151 (= (and (=> @t181 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t219 @t183))) (=> @t182 (and (=> @t175 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t219 @t177))) (=> @t176 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t219 @t171)))))) (and (=> @t181 @t266) (=> @t182 @t264))))) % 0.94/1.18 (assume @p107 (forall @t275 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t274 tptp.n)) @t272))) % 0.94/1.18 (assume @p108 (forall (@list @t117 @t116 @t115) (=> @t276 (=> @t130 (= (not @t123) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t121 (tptp.hAPP tptp.arrow_490897120le_alt @t1 (tptp.hAPP tptp.arrow_490897120le_alt @t119 @t118 @t116) @t117)) @t115))))))) % 0.94/1.18 (assume @p109 (forall (@list @t144 @t143 @t115) (=> @t276 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t146 @t115)) (not (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t169 @t115))))))) % 0.94/1.18 (assume @p110 (forall @t277 (=> @t276 (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t261 @t260 (tptp.hAPP tptp.arrow_490897120le_alt @t2 @t135 @t117)) tptp.arrow_2064824852le_Lin))))) % 0.94/1.18 (assume @p111 (forall @t277 (=> @t276 (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t261 @t260 (tptp.hAPP tptp.arrow_490897120le_alt @t2 @t133 @t117)) tptp.arrow_2064824852le_Lin))))) % 0.94/1.18 (assume @p112 (forall @t279 (=> @t130 (=> @t276 (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t261 @t260 (tptp.hAPP tptp.arrow_490897120le_alt @t2 (tptp.hAPP tptp.arrow_490897120le_alt @t8 @t278 @t117) @t116)) tptp.arrow_2064824852le_Lin)))))) % 0.94/1.18 (assume @p113 (forall (@list @t115) (=> @t276 (tptp.hBOOL (tptp.hAPP @t7 tptp.bool (tptp.hAPP @t3 @t114 @t113 (tptp.hAPP @t2 @t3 (tptp.combk @t2 tptp.arrow_660593299e_indi) @t115)) tptp.arrow_1111136790e_Prof))))) % 0.94/1.18 (assume @p114 (forall @t28 (=> @t93 (forall @t291 (=> @t290 (=> @t287 @t283)))))) % 0.94/1.18 (assume @p115 (forall @t28 (=> @t292 (forall @t291 (=> @t289 (not @t283)))))) % 0.94/1.18 (assume @p116 (forall @t28 (=> @t298 (forall @t297 (=> @t283 @t296))))) % 0.94/1.18 (assume @p117 (forall @t28 (=> @t292 (forall @t301 (=> @t289 @t300))))) % 0.94/1.18 (assume @p118 (forall @t28 (=> @t298 (forall @t309 (=> @t308 (=> @t306 @t304)))))) % 0.94/1.18 (assume @p119 (forall @t28 (=> @t79 (forall @t314 (=> @t313 (=> @t312 @t311)))))) % 0.94/1.18 (assume @p120 (forall @t28 (=> @t298 (forall @t314 (=> @t315 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t303 @t225)) @t304)))))) % 0.94/1.18 (assume @p121 (forall @t28 (=> @t79 (forall @t314 (=> @t317 (=> @t316 @t311)))))) % 0.94/1.18 (assume @p122 (forall @t28 (=> @t298 (forall @t318 (=> @t308 (not @t313)))))) % 0.94/1.18 (assume @p123 (forall @t28 (=> @t292 (forall @t319 (=> @t313 (not @t308)))))) % 0.94/1.18 (assume @p124 (forall @t28 (=> @t292 (forall (@list @t142 @t117 @t116) (=> @t321 (=> @t320 (tptp.hBOOL @t142))))))) % 0.94/1.18 (assume @p125 (forall @t28 (=> @t298 (forall @t291 (=> @t289 (not (= @t284 @t285))))))) % 0.94/1.18 (assume @p126 (forall @t28 (=> @t298 (forall @t291 (=> @t289 @t287))))) % 0.94/1.18 (assume @p127 (forall @t28 (=> @t93 @t322))) % 0.94/1.18 (assume @p128 (forall @t28 (=> @t93 (forall @t328 (=> (not @t320) @t327))))) % 0.94/1.18 (assume @p129 (forall @t28 (=> @t93 (forall @t291 (or @t289 @t286 @t283))))) % 0.94/1.18 (assume @p130 (forall @t28 (=> @t93 (forall @t329 (= @t326 (or @t320 @t325)))))) % 0.94/1.18 (assume @p131 (forall @t28 (=> @t93 (forall @t329 (= @t330 (or @t321 @t320)))))) % 0.94/1.18 (assume @p132 (forall @t28 (=> @t292 (forall @t331 (not (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t288 @t280))))))) % 0.94/1.18 (assume @p133 (forall @t28 (= @t242 (tptp.hAPP @t34 @t34 @t94 (tptp.hAPP tptp.bool @t34 (tptp.combk tptp.bool @t13) tptp.fTrue))))) % 0.94/1.18 (assume @p134 (forall (@list @t13 @t15 @t333 @t332) (=> (forall @t240 (= @t335 @t334)) (= (tptp.ti @t18 @t333) (tptp.ti @t18 @t332))))) % 0.94/1.18 (assume @p135 (forall (@list @t13 @t117 @t336) (= @t337 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t336 @t117))))) % 0.94/1.18 (assume @p136 (forall @t339 (= @t338 (tptp.ti @t34 @t142)))) % 0.94/1.18 (assume @p137 (forall @t343 (=> @t163 (=> @t276 (= (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t122 (tptp.hAPP tptp.arrow_490897120le_alt @t2 (tptp.hAPP tptp.arrow_490897120le_alt @t8 @t278 @t144) @t143))) (and @t130 (=> @t342 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t121 (tptp.hAPP tptp.arrow_490897120le_alt @t1 @t145 @t116)) @t115))) (=> (not @t342) (and (=> @t340 (or @t341 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t121 (tptp.hAPP tptp.arrow_490897120le_alt @t1 @t120 @t144)) @t115)))) (=> (not @t340) @t123))))))))) % 0.94/1.18 (assume @p138 (forall (@list @t13 @t15 @t344 @t345) (= (forall (@list @t234 @t231) (= (tptp.hBOOL (tptp.hAPP @t55 tptp.bool @t348 @t345)) (tptp.hBOOL (tptp.hAPP @t55 tptp.bool @t348 @t344)))) (= (tptp.ti @t55 @t345) (tptp.ti @t55 @t344))))) % 0.94/1.18 (assume @p139 @t352) % 0.94/1.18 (assume @p140 (= @t218 @t352)) % 0.94/1.18 (assume @p141 (forall @t151 (= (and (=> @t181 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t217 @t183))) (=> @t182 (and (=> @t175 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t217 @t177))) (=> @t176 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t217 @t171)))))) (and (=> @t353 @t263) (=> (not @t353) @t265))))) % 0.94/1.18 (assume @p142 (forall @t360 (=> @t359 (=> @t357 (= (tptp.hAPP @t15 @t13 @t354 @t116) @t324))))) % 0.94/1.18 (assume @p143 (forall (@list @t13 @t15 @t117 @t333) (=> @t359 (= (tptp.hAPP @t15 @t13 @t354 @t356) @t324)))) % 0.94/1.18 (assume @p144 (forall (@list @t361 @t232) (=> (tptp.hBOOL (tptp.hAPP @t5 tptp.bool (tptp.hAPP @t4 @t254 @t253 @t232) @t252)) (=> (forall @t240 (=> @t239 (forall @t215 (=> (not (= (tptp.ti tptp.arrow_490897120le_alt @t214) (tptp.ti tptp.arrow_490897120le_alt @t213))) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t233 @t363)) @t236))))) @t362)))) % 0.94/1.18 (assume @p145 (forall @t374 (=> @t373 (=> (not @t367) (not @t337))))) % 0.94/1.18 (assume @p146 (forall (@list @t144 @t143) (=> @t163 (exists @t240 (and (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t261 @t260 @t234) tptp.arrow_2064824852le_Lin)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t146 @t234))))))) % 0.94/1.18 (assume @p147 (forall (@list @t13 @t15 @t336) (= (tptp.hAPP @t53 @t60 @t368 (tptp.hAPP @t37 @t53 @t377 @t376)) @t375))) % 0.94/1.18 (assume @p148 (forall (@list @t14 @t13 @t15 @t333) (=> @t359 (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t379 @t58 (tptp.inj_on @t13 @t378) (tptp.hAPP @t18 @t379 (tptp.hAPP (tptp.fun @t15 @t378) (tptp.fun @t18 @t379) (tptp.combb @t15 @t378 @t13) (tptp.combk @t15 @t14)) @t333)) @t242))))) % 0.94/1.18 (assume @p149 (forall @t28 (=> @t292 (forall @t331 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t381 @t280)))))) % 0.94/1.18 (assume @p150 (exists @t386 (and @t385 @t384 @t383))) % 0.94/1.18 (assume @p151 (not (forall @t386 (=> @t385 (=> @t384 (not @t383)))))) % 0.94/1.18 (assume @p152 (forall @t28 (=> @t93 (forall @t291 (=> (not @t389) @t388))))) % 0.94/1.18 (assume @p153 (forall @t31 (=> @t81 (forall (@list @t117 @t333 @t332) (=> @t391 (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t37 @t80 @t356) (tptp.hAPP @t13 @t15 @t332 @t117)))))))) % 0.94/1.18 (assume @p154 (forall @t28 (=> @t298 (forall @t297 (=> @t388 (=> @t393 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t392 @t280)))))))) % 0.94/1.18 (assume @p155 (forall @t28 (=> @t298 (forall @t394 (=> @t388 (=> @t389 @t286)))))) % 0.94/1.18 (assume @p156 (forall @t28 (=> @t292 (forall @t301 (=> @t389 (=> @t395 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t381 @t293)))))))) % 0.94/1.18 (assume @p157 (forall @t28 (=> @t298 (forall @t291 (=> @t389 (=> @t388 @t286)))))) % 0.94/1.18 (assume @p158 (forall @t28 (=> @t298 (forall @t309 (=> @t399 (=> @t306 @t397)))))) % 0.94/1.18 (assume @p159 (forall @t28 (=> @t79 (forall @t314 (=> @t402 (=> @t312 @t401)))))) % 0.94/1.18 (assume @p160 (forall @t28 (=> @t298 (forall @t314 (=> @t315 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t396 @t225)) @t397)))))) % 0.94/1.18 (assume @p161 (forall @t28 (=> @t79 (forall @t314 (=> @t317 (=> @t403 @t401)))))) % 0.94/1.18 (assume @p162 (forall @t28 (=> @t298 (forall @t328 (=> @t406 @t405))))) % 0.94/1.18 (assume @p163 (forall @t28 (=> @t292 (forall @t291 (=> @t407 @t389))))) % 0.94/1.18 (assume @p164 (forall @t28 (=> @t298 (forall @t329 (= @t325 (and @t404 @t406)))))) % 0.94/1.18 (assume @p165 (forall @t28 (=> @t93 (forall @t291 (or @t389 @t388))))) % 0.94/1.18 (assume @p166 (forall @t31 (=> @t81 (forall @t410 (= @t391 @t409))))) % 0.94/1.18 (assume @p167 (forall @t28 (=> @t93 (forall @t329 (= @t326 @t406))))) % 0.94/1.18 (assume @p168 (forall @t28 (=> @t93 (forall @t329 (= (not @t404) @t320))))) % 0.94/1.18 (assume @p169 (forall @t28 (=> @t93 (forall @t291 (or @t389 @t283))))) % 0.94/1.18 (assume @p170 (forall @t28 (=> @t298 (forall @t329 (= @t321 (and @t404 @t330)))))) % 0.94/1.18 (assume @p171 (forall @t28 (=> @t292 (forall @t329 (= @t321 (and @t404 (not @t406))))))) % 0.94/1.18 (assume @p172 (forall @t28 (=> @t298 (forall @t329 (= @t404 (or @t321 @t325)))))) % 0.94/1.18 (assume @p173 (forall @t28 (=> @t93 (forall @t291 (=> @t290 @t388))))) % 0.94/1.18 (assume @p174 (forall @t28 (=> @t93 (forall @t394 (=> (not @t388) @t289))))) % 0.94/1.18 (assume @p175 (forall @t28 (=> @t93 (forall @t329 (=> @t326 @t405))))) % 0.94/1.18 (assume @p176 (forall @t28 (=> @t298 (forall @t319 (=> @t411 (=> @t402 @t313)))))) % 0.94/1.18 (assume @p177 (forall @t28 (=> @t298 (forall @t319 (=> @t411 (=> @t399 @t308)))))) % 0.94/1.18 (assume @p178 (forall @t28 (=> @t93 (forall @t394 (=> @t388 @t290))))) % 0.94/1.18 (assume @p179 (forall @t28 (=> @t292 (forall @t291 (=> @t289 @t389))))) % 0.94/1.18 (assume @p180 (forall @t28 (=> @t93 (forall @t329 (=> @t404 @t327))))) % 0.94/1.18 (assume @p181 (forall @t28 (=> @t298 (forall @t291 (=> @t389 (or @t289 @t286)))))) % 0.94/1.18 (assume @p182 (forall @t28 (=> @t298 (forall @t319 (=> @t402 (=> @t411 @t313)))))) % 0.94/1.18 (assume @p183 (forall @t28 (=> @t298 (forall @t318 (=> @t399 (=> @t411 @t308)))))) % 0.94/1.18 (assume @p184 (forall @t28 (=> @t292 (forall @t301 (=> @t289 (=> @t395 @t299)))))) % 0.94/1.18 (assume @p185 (forall @t28 (=> @t298 (forall @t297 (=> @t283 (=> @t393 @t295)))))) % 0.94/1.18 (assume @p186 (forall @t28 (=> @t292 (forall @t301 (=> @t389 @t300))))) % 0.94/1.18 (assume @p187 (forall @t28 (=> @t298 (forall @t297 (=> @t388 @t296))))) % 0.94/1.18 (assume @p188 (forall @t28 (=> @t83 (forall @t247 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t400 @t82)))))) % 0.94/1.18 (assume @p189 (forall @t28 (=> @t83 (forall @t250 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t412 @t144)) @t249))))) % 0.94/1.18 (assume @p190 (forall @t28 (=> @t83 (forall @t247 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t412 @t227)) (= @t228 @t82)))))) % 0.94/1.18 (assume @p191 (forall @t417 (= @t416 (forall @t240 (=> @t415 (forall @t238 (=> (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t13 @t58 @t110 @t231) @t336)) (=> (= @t335 (tptp.hAPP @t13 @t15 @t333 @t231)) (= @t413 (tptp.ti @t13 @t231)))))))))) % 0.94/1.18 (assume @p192 (forall @t421 (=> @t416 (=> @t330 (=> @t337 (=> @t420 (not @t418))))))) % 0.94/1.18 (assume @p193 (forall @t423 (=> @t416 (=> @t337 (=> @t420 @t422))))) % 0.94/1.18 (assume @p194 (forall @t421 (=> @t416 (=> @t418 (=> @t337 (=> @t420 @t325)))))) % 0.94/1.18 (assume @p195 (forall @t374 (=> @t373 (=> @t337 @t367)))) % 0.94/1.18 (assume @p196 (= tptp.arrow_1111136790e_Prof (tptp.hAPP @t424 @t7 (tptp.hAPP @t11 (tptp.fun @t424 @t7) (tptp.pi tptp.arrow_660593299e_indi @t2) @t184) (tptp.hAPP @t6 @t424 (tptp.combk @t6 tptp.arrow_660593299e_indi) tptp.arrow_2064824852le_Lin)))) % 0.94/1.18 (assume @p197 (forall @t426 (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t27 @t58 @t425 @t26) @t336)))) % 0.94/1.18 (assume @p198 (forall @t374 (=> @t427 (=> @t337 (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t366 @t364)))))) % 0.94/1.18 (assume @p199 (forall @t426 (tptp.hBOOL (tptp.hAPP @t428 tptp.bool (tptp.hAPP @t27 (tptp.fun @t428 tptp.bool) (tptp.member @t27) @t26) (tptp.hAPP @t78 @t428 (tptp.hAPP @t34 (tptp.fun @t78 @t428) (tptp.pi @t13 @t13) @t336) (tptp.hAPP @t34 @t78 (tptp.combk @t34 @t13) @t336)))))) % 0.94/1.18 (assume @p200 (forall (@list @t232 @t361) (= @t362 (forall @t240 (=> @t239 (= @t235 @t363)))))) % 0.94/1.18 (assume @p201 (forall @t360 (=> @t359 @t422))) % 0.94/1.18 (assume @p202 (forall @t360 (=> @t359 (=> @t418 @t325)))) % 0.94/1.18 (assume @p203 (forall @t430 (=> @t416 (=> @t337 (= (tptp.hAPP @t15 @t13 @t429 @t356) @t324))))) % 0.94/1.18 (assume @p204 (forall @t423 (=> @t416 (=> @t337 (=> @t357 (= @t431 @t324)))))) % 0.94/1.18 (assume @p205 (forall @t434 (=> (forall @t240 (=> @t415 (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t433 @t432)))) @t373))) % 0.94/1.18 (assume @p206 (forall (@list @t13 @t15 @t332 @t333) (=> @t359 (=> (forall @t240 (= (tptp.hAPP @t13 @t15 @t333 (tptp.hAPP @t15 @t13 @t332 @t234)) (tptp.ti @t15 @t234))) (= @t354 (tptp.ti @t30 @t332)))))) % 0.94/1.18 (assume @p207 (forall @t28 (=> @t436 (forall @t247 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t310 (tptp.hAPP @t13 @t13 @t435 @t62))))))) % 0.94/1.18 (assume @p208 (forall @t28 (=> @t445 (forall @t444 (=> @t313 (=> @t443 @t442)))))) % 0.94/1.18 (assume @p209 (forall @t28 (=> @t445 (forall @t444 (=> @t402 @t446))))) % 0.94/1.18 (assume @p210 (forall (@list @t13 @t15 @t333) (=> (forall @t450 @t449) @t359))) % 0.94/1.18 (assume @p211 (forall @t28 (=> @t453 (forall (@list @t293 @t281) (=> (forall @t240 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t452 @t281)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t451 @t293)))) @t395))))) % 0.94/1.18 (assume @p212 (forall @t28 (=> @t453 (forall @t301 (=> @t289 (=> (forall @t455 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t288 @t454)) (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t454) @t281)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t380 @t454) @t293))))) @t395)))))) % 0.94/1.18 (assume @p213 (forall @t31 (=> @t81 (forall @t410 (= (tptp.hBOOL (tptp.hAPP @t18 tptp.bool (tptp.hAPP @t18 @t60 (tptp.ord_less @t18) @t333) @t332)) (and @t391 (not (tptp.hBOOL (tptp.hAPP @t18 tptp.bool (tptp.hAPP @t18 @t60 @t390 @t332) @t333))))))))) % 0.94/1.18 (assume @p214 (forall (@list @t15 @t13 @t364 @t456 @t336) (=> (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t34 @t58 @t458 @t456) @t336)) (tptp.hBOOL (tptp.hAPP @t60 tptp.bool @t457 (tptp.hAPP @t53 @t60 (tptp.hAPP @t34 @t61 @t59 @t456) @t364)))))) % 0.94/1.18 (assume @p215 (forall (@list @t13 @t15 @t345 @t344) (= (tptp.hBOOL (tptp.hAPP @t53 tptp.bool (tptp.hAPP @t53 @t466 @t465 (tptp.hAPP @t55 @t53 @t464 @t345)) (tptp.hAPP @t55 @t53 @t464 @t344))) (tptp.hBOOL (tptp.hAPP @t55 tptp.bool (tptp.hAPP @t55 @t347 (tptp.ord_less_eq @t55) @t345) @t344))))) % 0.94/1.18 (assume @p216 (forall @t426 (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t467 @t242)))) % 0.94/1.18 (assume @p217 (forall @t470 (=> @t469 (=> @t468 @t416)))) % 0.94/1.18 (assume @p218 (forall @t28 (=> @t471 @t322))) % 0.94/1.18 (assume @p219 (forall @t28 (=> @t68 (forall @t474 (=> (= (tptp.hAPP @t13 @t13 @t438 @t227) @t473) @t306))))) % 0.94/1.18 (assume @p220 (forall @t28 (=> (tptp.cancel146912293up_add @t13) @t477))) % 0.94/1.18 (assume @p221 (forall @t28 (=> @t68 @t477))) % 0.94/1.18 (assume @p222 (forall @t28 (=> @t68 (forall (@list @t143 @t144 @t165) (= (= @t484 @t482) @t480))))) % 0.94/1.18 (assume @p223 (forall @t28 (=> @t68 (forall (@list @t144 @t143 @t165) (= (= @t487 @t486) @t480))))) % 0.94/1.18 (assume @p224 (forall @t28 (=> @t67 @t491))) % 0.94/1.18 (assume @p225 (forall @t28 (=> @t63 (forall @t246 (= (= @t62 @t324) (= @t324 @t62)))))) % 0.94/1.18 (assume @p226 (forall @t28 (=> @t494 (forall @t314 (=> @t493 @t402))))) % 0.94/1.18 (assume @p227 (forall @t28 (=> @t494 (forall @t497 (=> @t496 @t402))))) % 0.94/1.18 (assume @p228 (forall @t28 (=> @t498 (forall @t444 (=> @t402 (=> @t443 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t495 @t439)))))))) % 0.94/1.18 (assume @p229 (forall @t28 (=> @t498 (forall @t314 (=> @t402 @t493))))) % 0.94/1.18 (assume @p230 (forall @t28 (=> @t498 (forall @t314 (=> @t402 @t496))))) % 0.94/1.18 (assume @p231 (forall @t28 (=> @t494 (forall @t502 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t380 @t482) @t501)) @t500))))) % 0.94/1.18 (assume @p232 (forall @t28 (=> @t494 (forall @t504 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t380 @t486) @t503)) @t500))))) % 0.94/1.18 (assume @p233 (forall @t28 (=> @t494 (forall @t314 (=> @t505 @t313))))) % 0.94/1.18 (assume @p234 (forall @t28 (=> @t494 (forall @t497 (=> @t506 @t313))))) % 0.94/1.18 (assume @p235 (forall @t28 (=> @t445 (forall @t444 (=> @t313 @t446))))) % 0.94/1.18 (assume @p236 (forall @t28 (=> @t445 (forall @t314 (=> @t313 @t505))))) % 0.94/1.18 (assume @p237 (forall @t28 (=> @t445 (forall @t314 (=> @t313 @t506))))) % 0.94/1.18 (assume @p238 (forall @t28 (=> @t494 (forall @t502 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t482) @t501)) @t507))))) % 0.94/1.18 (assume @p239 (forall @t28 (=> @t494 (forall @t504 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t486) @t503)) @t507))))) % 0.94/1.18 (assume @p240 (forall @t31 (=> @t81 (forall @t410 (=> @t409 @t391))))) % 0.94/1.18 (assume @p241 (forall @t98 (=> (and @t298 @t81) (forall @t515 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t380 @t514) @t144)) (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool @t513 @t143)) (=> (forall @t450 (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t37 @t512 @t447) @t234)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t511) @t510)))) @t509))))))) % 0.94/1.18 (assume @p242 (forall @t98 (=> @t518 (forall @t515 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t514) @t144)) (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool @t516 @t143)) (=> (forall @t450 (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t37 @t80 @t447) @t234)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t380 @t511) @t510)))) @t509))))))) % 0.94/1.18 (assume @p243 (forall @t31 (=> @t521 (forall @t520 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t499 @t514)) (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t37 @t512 @t143) @t165)) (=> (forall @t450 (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t37 @t512 @t234) @t447)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t510) @t511)))) @t519))))))) % 0.94/1.18 (assume @p244 (forall @t31 (=> @t521 (forall @t520 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t248 @t514)) (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t37 @t80 @t143) @t165)) (=> (forall @t450 (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t37 @t80 @t234) @t447)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t380 @t510) @t511)))) @t519))))))) % 0.94/1.18 (assume @p245 (forall @t31 (=> @t521 (forall @t525 (=> @t500 (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t37 @t512 @t524) @t165)) (=> (forall @t450 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t451 @t447)) (tptp.hBOOL (tptp.hAPP @t15 tptp.bool @t408 @t448)))) @t523))))))) % 0.94/1.18 (assume @p246 (forall @t531 (=> @t468 (=> @t530 @t528)))) % 0.94/1.18 (assume @p247 (forall @t534 (=> @t468 @t533))) % 0.94/1.18 (assume @p248 (forall @t531 (= @t537 (and @t468 (not @t528))))) % 0.94/1.18 (assume @p249 (forall @t531 (= @t468 (or @t537 @t528)))) % 0.94/1.18 (assume @p250 (forall @t531 (=> @t537 @t468))) % 0.94/1.18 (assume @p251 (forall @t541 (=> @t537 (=> @t540 @t539)))) % 0.94/1.18 (assume @p252 (forall @t541 (=> @t468 @t542))) % 0.94/1.18 (assume @p253 (forall (@list @t15 @t13 @t543 @t142 @t117 @t116) (=> @t546 (=> @t545 @t544)))) % 0.94/1.18 (assume @p254 (forall @t531 (=> @t528 (not (=> @t468 (not @t530)))))) % 0.94/1.18 (assume @p255 (forall (@list @t13 @t15 @t117 @t116 @t142 @t543) (=> @t545 (=> @t546 @t544)))) % 0.94/1.18 (assume @p256 (forall @t541 (=> @t468 (=> @t540 (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t467 @t538)))))) % 0.94/1.18 (assume @p257 (forall (@list @t13 @t117 @t336 @t364) (=> @t468 (=> @t337 @t547)))) % 0.94/1.18 (assume @p258 (forall (@list @t13 @t364 @t117 @t336) (=> @t337 (=> @t468 @t547)))) % 0.94/1.18 (assume @p259 (forall (@list @t13 @t117 @t142 @t543) (=> @t550 (=> @t549 @t548)))) % 0.94/1.18 (assume @p260 (forall @t531 (=> @t528 @t530))) % 0.94/1.18 (assume @p261 (forall @t531 (=> @t528 @t468))) % 0.94/1.18 (assume @p262 (forall (@list @t13 @t543 @t142 @t117) (=> @t549 (=> @t550 @t548)))) % 0.94/1.18 (assume @p263 (forall @t531 (= @t528 (and @t468 @t530)))) % 0.94/1.18 (assume @p264 (forall @t426 (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t467 @t336)))) % 0.94/1.18 (assume @p265 (forall (@list @t13 @t345 @t344) (= (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t34 @t58 @t458 (tptp.hAPP @t34 @t34 @t551 @t345)) (tptp.hAPP @t34 @t34 @t551 @t344))) (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t34 @t58 @t458 @t345) @t344))))) % 0.94/1.18 (assume @p266 (forall (@list @t15 @t13 @t543 @t142) (=> (forall @t450 (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t37 @t142 @t234) @t447)) (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t37 @t543 @t234) @t447)))) @t545))) % 0.94/1.18 (assume @p267 (forall (@list @t15 @t13 @t364 @t538 @t336) (=> (forall @t240 (=> @t415 (tptp.hBOOL (tptp.hAPP @t37 tptp.bool (tptp.hAPP @t37 @t38 @t552 @t432) (tptp.hAPP @t13 @t37 @t538 @t234))))) (tptp.hBOOL (tptp.hAPP @t60 tptp.bool @t457 (tptp.hAPP @t53 @t60 @t368 @t538)))))) % 0.94/1.18 (assume @p268 (forall (@list @t13 @t364 @t336) (=> (forall @t240 (=> @t415 (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t414 @t364)))) @t468))) % 0.94/1.18 (assume @p269 (forall @t98 (=> @t518 (forall @t515 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t143) @t144)) (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool @t516 @t524)) (=> (forall @t450 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t447) @t234)) (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t37 @t512 @t448) @t335)))) @t553))))))) % 0.94/1.18 (assume @p270 (forall @t98 (=> @t518 (forall @t515 (=> @t555 (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool @t513 @t524)) (=> (forall @t450 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t380 @t447) @t234)) (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t37 @t80 @t448) @t335)))) @t553))))))) % 0.94/1.18 (assume @p271 (forall @t534 (=> @t537 @t533))) % 0.94/1.18 (assume @p272 (forall @t541 (=> @t537 @t542))) % 0.94/1.18 (assume @p273 (forall @t31 (=> @t521 (forall @t525 (=> @t507 (=> (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t37 @t80 @t524) @t165)) (=> (forall @t450 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t452 @t447)) (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t15 @t37 @t512 @t335) @t448)))) @t523))))))) % 0.94/1.18 (assume @p274 (forall @t343 (=> @t163 (=> @t276 (= (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t122 (tptp.hAPP tptp.arrow_490897120le_alt @t2 (tptp.hAPP tptp.arrow_490897120le_alt @t8 @t557 @t144) @t143))) (and @t130 (=> @t556 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t121 (tptp.hAPP tptp.arrow_490897120le_alt @t1 @t120 @t143)) @t115))) (=> (not @t556) (and (=> @t341 (or @t340 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t1 @t6 @t121 (tptp.hAPP tptp.arrow_490897120le_alt @t1 @t166 @t116)) @t115)))) (=> (not @t341) @t123))))))))) % 0.94/1.18 (assume @p275 (forall @t567 (=> @t566 (not (=> @t564 (not @t561)))))) % 0.94/1.18 (assume @p276 (forall @t567 (=> @t566 @t564))) % 0.94/1.18 (assume @p277 (forall @t567 (=> @t566 @t561))) % 0.94/1.18 (assume @p278 (forall @t569 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t568 @t558))))) % 0.94/1.18 (assume @p279 (forall @t577 (= @t576 (or @t574 @t572)))) % 0.94/1.18 (assume @p280 (forall @t291 (=> (not @t407) (=> (not @t579) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t178 @t281) @t280)))))) % 0.94/1.18 (assume @p281 (forall @t583 (=> @t582 @t581))) % 0.94/1.18 (assume @p282 (forall (@list @t585 @t584) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t178 @t585) @t584)) (not (= @t585 @t584))))) % 0.94/1.18 (assume @p283 (forall (@list @t142 @t570 @t267) (=> (=> @t574 @t586) (=> (=> @t575 @t586) (=> (=> @t572 @t586) @t586))))) % 0.94/1.18 (assume @p284 (forall @t590 (= @t589 @t588))) % 0.94/1.18 (assume @p285 (forall (@list @t280 @t281 @t293) (= (tptp.hAPP tptp.nat tptp.nat @t591 @t593) (tptp.hAPP tptp.nat tptp.nat @t592 (tptp.hAPP tptp.nat tptp.nat @t591 @t293))))) % 0.94/1.18 (assume @p286 (forall (@list @t562 @t558 @t559) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t44 @t350 @t589) @t559) (tptp.hAPP tptp.nat tptp.nat @t565 (tptp.hAPP tptp.nat tptp.nat @t587 @t559))))) % 0.94/1.18 (assume @p287 (forall @t598 (= (= @t597 @t596) @t575))) % 0.94/1.18 (assume @p288 (forall (@list @t570 @t594 @t267) (= (= @t600 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t44 @t350 @t267) @t594)) @t575))) % 0.94/1.18 (assume @p289 (forall @t569 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t601 @t558)))) % 0.94/1.18 (assume @p290 (forall @t590 (or @t564 @t602))) % 0.94/1.18 (assume @p291 (forall @t590 (=> @t580 @t564))) % 0.94/1.18 (assume @p292 (forall @t607 (=> @t606 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t273 @t605) @t559)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t604 @t559)))))) % 0.94/1.18 (assume @p293 (forall @t590 (=> @t564 (=> @t602 @t580)))) % 0.94/1.18 (assume @p294 (forall @t279 (=> @t130 (=> @t276 (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t261 @t260 (tptp.hAPP tptp.arrow_490897120le_alt @t2 (tptp.hAPP tptp.arrow_490897120le_alt @t8 @t557 @t117) @t116)) tptp.arrow_2064824852le_Lin)))))) % 0.94/1.18 (assume @p295 (forall (@list @t594 @t608) (tptp.hBOOL (tptp.hAPP @t179 tptp.bool (tptp.hAPP @t44 @t610 @t609 (tptp.hAPP tptp.nat @t44 (tptp.hAPP @t45 @t45 (tptp.combc tptp.nat tptp.nat tptp.nat) @t350) @t594)) @t608)))) % 0.94/1.18 (assume @p296 (forall @t613 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t612 @t603))))) % 0.94/1.18 (assume @p297 (forall (@list @t605 @t603) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t178 (tptp.hAPP tptp.nat tptp.nat @t614 @t603)) @t603))))) % 0.94/1.18 (assume @p298 (forall @t598 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t178 @t597) @t596)) @t574))) % 0.94/1.18 (assume @p299 (forall @t618 (=> @t617 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t616 @t615))))) % 0.94/1.18 (assume @p300 (forall @t618 (=> @t617 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t616 @t619))))) % 0.94/1.18 (assume @p301 (forall @t607 (=> @t617 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t622 @t620))))) % 0.94/1.18 (assume @p302 (forall @t626 (=> @t617 (=> @t625 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t622 @t624)))))) % 0.94/1.18 (assume @p303 (forall (@list @t562 @t558 @t559 @t623) (=> @t625 (=> (= (tptp.hAPP tptp.nat tptp.nat @t565 @t623) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t44 @t350 @t559) @t558)) @t628)))) % 0.94/1.18 (assume @p304 (forall (@list @t603 @t605 @t559) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t612 @t559)) @t629))) % 0.94/1.18 (assume @p305 (forall @t577 (= @t574 (and @t631 @t576)))) % 0.94/1.18 (assume @p306 (forall @t577 (= @t631 @t632))) % 0.94/1.18 (assume @p307 (forall @t590 (=> @t628 @t564))) % 0.94/1.18 (assume @p308 (forall @t590 (=> @t564 (=> @t581 @t628)))) % 0.94/1.18 (assume @p309 (forall @t590 (=> (or @t628 @t580) @t564))) % 0.94/1.18 (assume @p310 (forall @t583 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t601 @t589)))) % 0.94/1.18 (assume @p311 (forall @t583 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t601 @t588)))) % 0.94/1.18 (assume @p312 (forall @t577 (= @t631 (exists @t635 (= @t267 @t634))))) % 0.94/1.18 (assume @p313 (forall @t598 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t273 @t597) @t596)) @t631))) % 0.94/1.18 (assume @p314 (forall @t618 (=> @t606 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t604 @t615))))) % 0.94/1.18 (assume @p315 (forall @t618 (=> @t606 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t604 @t619))))) % 0.94/1.18 (assume @p316 (forall @t607 (=> @t606 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t636 @t620))))) % 0.94/1.18 (assume @p317 (forall @t626 (=> @t606 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t560 @t623)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t636 @t624)))))) % 0.94/1.18 (assume @p318 (forall (@list @t570 @t594 @t333) (=> (forall (@list @t271 @t382) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t178 @t271) @t382)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t178 (tptp.hAPP tptp.nat tptp.nat @t333 @t271)) @t637)))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t273 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t44 @t350 (tptp.hAPP tptp.nat tptp.nat @t333 @t570)) @t594)) (tptp.hAPP tptp.nat tptp.nat @t333 @t600)))))) % 0.94/1.18 (assume @p319 (forall (@list @t361 @t638 @t333) (=> (forall (@list @t148 @t640) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t641 @t640)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t178 (tptp.hAPP tptp.nat tptp.nat @t333 @t148)) (tptp.hAPP tptp.nat tptp.nat @t333 @t640))))) (=> @t639 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t273 (tptp.hAPP tptp.nat tptp.nat @t333 @t361)) (tptp.hAPP tptp.nat tptp.nat @t333 @t638))))))) % 0.94/1.18 (assume @p320 (forall @t301 (=> @t644 @t643))) % 0.94/1.18 (assume @p321 (forall @t645 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t642 @t293)) @t643))) % 0.94/1.18 (assume @p322 (forall @t645 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t578 @t293)) @t646))) % 0.94/1.18 (assume @p323 (forall @t301 (=> @t579 @t646))) % 0.94/1.18 (assume @p324 (forall @t291 (=> @t579 @t644))) % 0.94/1.18 (assume @p325 (forall (@list @t15 @t13 @t345 @t117 @t116) (= (tptp.hBOOL (tptp.hAPP @t15 tptp.bool (tptp.hAPP @t13 @t37 (tptp.hAPP @t55 @t53 @t52 @t345) @t117) @t116)) (tptp.hBOOL (tptp.hAPP @t55 tptp.bool (tptp.hAPP @t54 @t347 @t346 (tptp.hAPP @t15 @t54 (tptp.hAPP @t13 @t85 @t84 @t117) @t116)) @t345))))) % 0.94/1.18 (assume @p326 (forall @t434 (=> (forall @t240 (=> @t415 (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t433 @t364)))) @t427))) % 0.94/1.18 (assume @p327 (exists (@list @t647) (tptp.hBOOL (tptp.hAPP @t6 tptp.bool (tptp.hAPP @t2 @t261 @t260 @t647) tptp.arrow_2064824852le_Lin)))) % 0.94/1.18 (assume @p328 (forall (@list @t15 @t13 @t364 @t333 @t332 @t336) (=> (forall @t455 (=> (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t13 @t58 @t110 @t454) @t336)) (= (tptp.hAPP @t13 @t15 @t333 @t454) (tptp.hAPP @t13 @t15 @t332 @t454)))) (= @t373 (tptp.hBOOL (tptp.hAPP @t60 tptp.bool (tptp.hAPP @t18 @t371 @t370 @t332) @t369)))))) % 0.94/1.18 (assume @p329 (forall @t653 (=> @t427 (=> @t416 (=> @t652 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t651 @t649))))))) % 0.94/1.18 (assume @p330 (forall @t654 (=> (forall @t450 (=> @t415 (=> (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t13 @t58 @t110 @t447) @t336)) @t449))) @t416))) % 0.94/1.18 (assume @p331 (forall (@list @t15 @t13 @t333 @t332 @t336) (=> (forall @t656 (=> @t655 (= (tptp.hAPP @t13 @t15 @t333 @t214) (tptp.hAPP @t13 @t15 @t332 @t214)))) (= @t416 (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t18 @t58 @t57 @t332) @t336)))))) % 0.94/1.18 (assume @p332 (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.finite_finite_1 tptp.arrow_660593299e_indi) @t184))) % 0.94/1.18 (assume @p333 (forall (@list @t13 @t15 @t332 @t333 @t336 @t364) (=> @t427 (=> @t416 (=> (tptp.hBOOL (tptp.hAPP @t661 tptp.bool (tptp.hAPP @t30 (tptp.fun @t661 tptp.bool) (tptp.member @t30) @t332) (tptp.hAPP @t660 @t661 (tptp.hAPP @t37 (tptp.fun @t660 @t661) (tptp.pi @t15 @t13) @t364) (tptp.hAPP @t34 @t660 (tptp.combk @t34 @t15) @t336)))) (=> (tptp.hBOOL (tptp.hAPP @t37 tptp.bool (tptp.hAPP @t30 @t38 @t659 @t332) @t364)) (=> @t658 (=> @t652 (= @t650 @t649))))))))) % 0.94/1.18 (assume @p334 (forall @t426 (=> @t658 (tptp.hBOOL (tptp.hAPP @t58 tptp.bool (tptp.finite_finite_1 @t34) (tptp.hAPP @t58 @t58 (tptp.collect @t34) (tptp.hAPP @t34 @t58 (tptp.hAPP @t662 @t662 (tptp.combc @t34 @t34 tptp.bool) @t458) @t336))))))) % 0.94/1.18 (assume @p335 (forall @t531 (=> @t665 (=> @t468 (=> @t664 @t537))))) % 0.94/1.18 (assume @p336 (forall @t531 (=> @t665 (=> @t537 @t664)))) % 0.94/1.18 (assume @p337 (forall @t531 (=> @t665 (=> @t468 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t651 @t663)))))) % 0.94/1.18 (assume @p338 (forall (@list @t13 @t543 @t142) (=> (or @t671 @t670) (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t657 (tptp.hAPP @t34 @t34 @t94 (tptp.hAPP @t34 @t34 (tptp.hAPP @t667 @t95 @t669 (tptp.hAPP @t34 @t667 (tptp.hAPP @t104 @t668 @t666 tptp.fconj) @t142)) @t543))))))) % 0.94/1.18 (assume @p339 (forall @t676 (tptp.hBOOL (tptp.hAPP @t179 tptp.bool @t675 (tptp.hAPP @t179 @t179 @t674 (tptp.hAPP tptp.nat @t179 @t673 @t594)))))) % 0.94/1.18 (assume @p340 (forall @t676 (tptp.hBOOL (tptp.hAPP @t179 tptp.bool @t675 (tptp.hAPP @t179 @t179 @t674 (tptp.hAPP tptp.nat @t179 @t677 @t594)))))) % 0.94/1.18 (assume @p341 (forall @t28 (=> @t678 (forall (@list @t336) @t658)))) % 0.94/1.18 (assume @p342 (= (tptp.hAPP @t679 tptp.nat (tptp.finite_card tptp.product_unit) (tptp.top_top @t679)) @t349)) % 0.94/1.18 (assume @p343 (forall (@list @t13 @t142 @t543) (= (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t657 (tptp.hAPP @t34 @t34 @t94 (tptp.hAPP @t34 @t34 (tptp.hAPP @t667 @t95 @t669 (tptp.hAPP @t34 @t667 (tptp.hAPP @t104 @t668 @t666 tptp.fdisj) @t142)) @t543)))) (and @t671 @t670)))) % 0.94/1.18 (assume @p344 (forall @t268 (= (tptp.hAPP @t179 tptp.nat @t680 (tptp.hAPP @t179 @t179 @t674 (tptp.hAPP tptp.nat @t179 @t673 @t267))) @t267))) % 0.94/1.18 (assume @p345 (forall @t531 (=> @t468 (=> @t665 @t658)))) % 0.94/1.18 (assume @p346 (forall @t531 (=> @t665 (=> @t468 @t658)))) % 0.94/1.18 (assume @p347 (forall @t28 (=> @t678 @t681))) % 0.94/1.18 (assume @p348 (forall @t98 (=> @t681 (=> @t682 (tptp.hBOOL (tptp.hAPP @t55 tptp.bool (tptp.finite_finite_1 @t54) (tptp.top_top @t55))))))) % 0.94/1.18 (assume @p349 (forall @t31 (= (tptp.hBOOL (tptp.hAPP @t101 tptp.bool @t684 @t683)) (and @t681 @t682)))) % 0.94/1.18 (assume @p350 (forall @t28 (= (tptp.hBOOL (tptp.hAPP @t686 tptp.bool (tptp.finite_finite_1 @t685) (tptp.top_top @t686))) @t681))) % 0.94/1.18 (assume @p351 (forall @t339 (=> @t671 (= (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t657 (tptp.hAPP @t34 @t34 @t94 (tptp.hAPP @t34 @t34 (tptp.hAPP @t103 @t95 (tptp.combb tptp.bool tptp.bool @t13) tptp.fNot) @t142)))) @t681)))) % 0.94/1.18 (assume @p352 (forall @t426 (=> @t681 (=> (= @t650 @t687) (= @t527 @t242))))) % 0.94/1.18 (assume @p353 (forall @t31 (=> @t688 @t682))) % 0.94/1.18 (assume @p354 (forall @t531 (=> @t665 (=> @t468 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t273 @t663) @t650)) @t528))))) % 0.94/1.18 (assume @p355 (forall @t426 (=> (not @t681) (=> @t658 (exists @t656 (not @t655)))))) % 0.94/1.18 (assume @p356 (forall @t692 (=> @t658 (=> @t652 @t691)))) % 0.94/1.18 (assume @p357 (forall (@list @t15 @t13 @t364 @t336 @t333 @t124 @t332 @t232) (=> @t695 (=> @t694 (=> (tptp.hBOOL (tptp.hAPP @t37 tptp.bool (tptp.hAPP @t37 @t38 @t552 @t364) @t336)) (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t333 (tptp.hAPP @t37 @t13 @t232 @t364)) @t693) @t693)))))) % 0.94/1.18 (assume @p358 (not (tptp.hBOOL (tptp.hAPP @t179 tptp.bool @t675 (tptp.top_top @t179))))) % 0.94/1.18 (assume @p359 (forall (@list @t15 @t13 @t117 @t333 @t124 @t332 @t232) (=> @t695 (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t333 @t117) @t117) @t324)))) % 0.94/1.18 (assume @p360 (forall @t698 (= @t697 @t696))) % 0.94/1.18 (assume @p361 (forall @t692 (=> @t658 (=> @t652 @t697)))) % 0.94/1.18 (assume @p362 (forall @t698 (=> @t697 @t658))) % 0.94/1.18 (assume @p363 (forall @t698 (=> @t697 @t652))) % 0.94/1.18 (assume @p364 (forall (@list @t15 @t13 @t117 @t336 @t333 @t124 @t332 @t232) (=> @t695 (=> @t694 (=> @t700 (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t333 (tptp.hAPP @t15 @t13 @t332 @t117)) @t693) @t693)))))) % 0.94/1.18 (assume @p365 (forall @t98 (= (tptp.hAPP @t37 @t101 (tptp.hAPP @t34 @t102 @t99 @t242) @t376) @t683))) % 0.94/1.18 (assume @p366 (forall (@list @t142 @t361) (tptp.hBOOL (tptp.hAPP @t179 tptp.bool @t675 (tptp.hAPP @t179 @t179 @t674 (tptp.hAPP @t179 @t179 (tptp.hAPP @t702 @t705 @t704 (tptp.hAPP @t179 @t702 @t703 @t142)) @t701)))))) % 0.94/1.18 (assume @p367 (forall @t709 (= @t708 (exists @t275 (forall @t240 (=> @t707 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t273 @t234) @t271)))))))) % 0.94/1.18 (assume @p368 (forall @t709 (= @t708 (exists @t275 (forall @t240 (=> @t707 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t710 @t271)))))))) % 0.94/1.18 (assume @p369 (forall (@list @t711 @t333) (=> (forall @t386 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t273 @t382) @t637))) (tptp.hBOOL (tptp.hAPP @t179 tptp.bool @t675 (tptp.hAPP @t179 @t179 @t674 (tptp.hAPP tptp.nat @t179 (tptp.hAPP @t195 @t195 @t672 (tptp.hAPP @t44 @t195 (tptp.hAPP @t195 (tptp.fun @t44 @t195) (tptp.combb tptp.nat @t179 tptp.nat) @t273) @t333)) @t711))))))) % 0.94/1.18 (assume @p370 (forall (@list @t267 @t608) (=> (forall @t240 (=> @t707 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t710 @t267)))) @t708))) % 0.94/1.18 (assume @p371 (forall @t692 (and (=> @t696 @t691) (=> (not @t696) (= @t690 @t712))))) % 0.94/1.18 (assume @p372 (forall @t569 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t568 @t712))))) % 0.94/1.18 (assume @p373 (forall @t569 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t273 @t712) @t558)))) % 0.94/1.18 (assume @p374 (forall @t569 (=> @t716 @t714))) % 0.94/1.18 (assume @p375 (forall @t590 (=> @t628 @t716))) % 0.94/1.18 (assume @p376 (forall @t268 (= (not @t718) @t717))) % 0.94/1.18 (assume @p377 (forall @t569 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t44 @t350 @t712) @t558) @t558))) % 0.94/1.18 (assume @p378 (forall @t719 (= (tptp.hAPP tptp.nat tptp.nat @t565 @t712) @t562))) % 0.94/1.18 (assume @p379 (forall @t577 (= (= @t721 @t712) (and @t720 @t718)))) % 0.94/1.18 (assume @p380 (forall @t590 (=> (= @t589 @t562) @t715))) % 0.94/1.18 (assume @p381 (forall @t268 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t722 @t712)) @t718))) % 0.94/1.18 (assume @p382 (forall @t28 (=> @t70 (forall @t246 (= (= @t69 @t324) @t723))))) % 0.94/1.18 (assume @p383 (forall @t28 (=> @t724 (not (= @t69 @t62))))) % 0.94/1.18 (assume @p384 (forall @t28 (=> @t724 (not (= @t62 @t69))))) % 0.94/1.18 (assume @p385 (forall @t28 (=> @t726 @t725))) % 0.94/1.18 (assume @p386 (forall @t28 (=> @t66 @t725))) % 0.94/1.18 (assume @p387 (forall @t28 (=> @t729 (forall @t250 (= (= @t69 @t728) @t727))))) % 0.94/1.18 (assume @p388 (forall @t28 (=> @t726 @t730))) % 0.94/1.18 (assume @p389 (forall @t28 (=> @t66 @t730))) % 0.94/1.18 (assume @p390 (forall @t28 (=> @t733 (forall @t318 (=> @t732 (=> @t731 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t380 @t475) @t69)))))))) % 0.94/1.18 (assume @p391 (forall @t28 (=> @t733 (forall @t474 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t735 @t302)) (=> @t399 @t734)))))) % 0.94/1.18 (assume @p392 (forall @t28 (=> @t733 (forall @t737 (=> @t736 (=> @t403 @t734)))))) % 0.94/1.18 (assume @p393 (forall @t28 (=> @t733 (forall @t328 (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t735 @t117)) (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t735 @t116)) (= (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t64 @t117) @t116) @t69) (and @t723 (= @t323 @t69))))))))) % 0.94/1.18 (assume @p394 (forall @t28 (=> @t733 (forall @t318 (=> @t736 (=> @t738 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t735 @t475)))))))) % 0.94/1.18 (assume @p395 (forall @t28 (=> @t729 (forall @t250 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t380 @t728) @t69)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t499 @t69))))))) % 0.94/1.18 (assume @p396 (forall @t28 (=> @t729 (forall @t250 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t735 @t728)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t735 @t144))))))) % 0.94/1.18 (assume @p397 (forall @t28 (=> @t733 (forall @t318 (=> @t741 @t740))))) % 0.94/1.18 (assume @p398 (forall @t28 (=> @t436 (forall @t737 (=> @t745 @t743))))) % 0.94/1.18 (assume @p399 (forall @t28 (=> @t733 (forall @t318 (=> @t745 @t747))))) % 0.94/1.18 (assume @p400 (forall @t28 (=> @t729 @t749))) % 0.94/1.18 (assume @p401 (forall @t28 (=> @t729 (forall @t250 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t744 @t728)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t744 @t144))))))) % 0.94/1.18 (assume @p402 (forall @t28 (=> @t436 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t735 @t62))))) % 0.94/1.18 (assume @p403 (forall @t28 (=> @t436 (not (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t380 @t62) @t69)))))) % 0.94/1.18 (assume @p404 (forall @t28 (=> @t436 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t744 @t62))))) % 0.94/1.18 (assume @p405 (forall @t28 (=> @t436 (not (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 @t62) @t69)))))) % 0.94/1.18 (assume @p406 (forall @t577 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t713 @t721)) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t713 @t570)) @t717)))) % 0.94/1.18 (assume @p407 (forall @t426 @t751)) % 0.94/1.18 (assume @p408 (forall @t28 (=> @t733 (forall @t318 (=> @t732 @t740))))) % 0.94/1.18 (assume @p409 (forall @t28 (=> @t733 (forall @t318 (=> @t741 (=> @t731 @t739)))))) % 0.94/1.18 (assume @p410 (forall @t28 (=> @t733 (forall @t737 (=> @t736 @t743))))) % 0.94/1.18 (assume @p411 (forall @t28 (=> @t733 (forall @t737 (=> @t745 (=> @t403 @t742)))))) % 0.94/1.18 (assume @p412 (forall @t28 (=> @t733 (forall @t318 (=> @t736 @t747))))) % 0.94/1.18 (assume @p413 (forall @t28 (=> @t733 (forall @t318 (=> @t745 (=> @t738 @t746)))))) % 0.94/1.18 (assume @p414 (forall @t28 (=> @t436 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t744 (tptp.hAPP @t13 @t13 @t752 @t62)))))) % 0.94/1.18 (assume @p415 (forall @t426 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t713 @t650)) @t658))) % 0.94/1.18 (assume @p416 (forall @t28 (=> @t681 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t713 @t687))))) % 0.94/1.18 (assume @p417 (forall @t758 (=> @t757 (=> @t755 (exists @t635 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t178 @t633) @t267)) (forall @t151 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t273 @t148) @t633)) @t754)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t44 @t350 @t633) @t349))))))))) % 0.94/1.18 (assume @p418 (forall @t426 (=> @t658 (=> (=> (exists @t240 @t415) (= @t349 @t712)) @t750)))) % 0.94/1.18 (assume @p419 (forall @t758 (=> @t757 (=> @t755 (exists @t635 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t273 @t633) @t267)) (forall @t151 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t641 @t633)) @t754)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 @t633)))))))) % 0.94/1.18 (assume @p420 (forall @t613 (=> @t617 (exists @t635 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t713 @t633)) (= (tptp.hAPP tptp.nat tptp.nat @t611 @t633) @t605)))))) % 0.94/1.18 (assume @p421 (forall @t28 (=> @t471 @t749))) % 0.94/1.18 (assume @p422 (forall @t28 (=> @t729 (forall @t250 @t759)))) % 0.94/1.18 (assume @p423 (forall @t31 (=> @t688 (=> (not (= (tptp.hAPP @t37 tptp.nat @t648 @t376) @t760)) @t681)))) % 0.94/1.18 (assume @p424 (forall @t28 (=> (tptp.semiri456707255roduct @t13) (forall @t761 (= (= @t479 @t484) @t727))))) % 0.94/1.18 (assume @p425 (forall @t569 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t568 @t762)))) % 0.94/1.18 (assume @p426 (forall @t590 (=> @t628 @t765))) % 0.94/1.18 (assume @p427 (forall @t569 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t713 @t762)))) % 0.94/1.18 (assume @p428 (forall @t569 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t766 @t558))))) % 0.94/1.18 (assume @p429 (forall @t577 (= (not @t631) @t769))) % 0.94/1.18 (assume @p430 (forall @t577 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t630 @t767)) (or @t631 (= @t570 @t767))))) % 0.94/1.18 (assume @p431 (forall @t771 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t768 @t770)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t722 @t570))))) % 0.94/1.18 (assume @p432 (forall @t590 (=> @t564 @t772))) % 0.94/1.18 (assume @p433 (forall @t590 (=> @t772 (=> (not @t564) (= @t562 @t762))))) % 0.94/1.18 (assume @p434 (forall @t590 (=> @t773 @t564))) % 0.94/1.18 (assume @p435 (forall @t291 (=> (= (tptp.hAPP tptp.nat tptp.nat tptp.suc @t280) (tptp.hAPP tptp.nat tptp.nat tptp.suc @t281)) @t407))) % 0.94/1.18 (assume @p436 (forall (@list @t775 @t774) (= (= (tptp.hAPP tptp.nat tptp.nat tptp.suc @t775) (tptp.hAPP tptp.nat tptp.nat tptp.suc @t774)) (= @t775 @t774)))) % 0.94/1.18 (assume @p437 (forall @t569 (not (= @t762 @t558)))) % 0.94/1.18 (assume @p438 (forall @t569 (not (= @t558 @t762)))) % 0.94/1.18 (assume @p439 (forall @t590 (= @t777 @t776))) % 0.94/1.18 (assume @p440 (forall @t590 (= @t777 @t778))) % 0.94/1.18 (assume @p441 (forall @t590 (= @t776 @t778))) % 0.94/1.18 (assume @p442 (forall @t577 (= (not @t574) @t779))) % 0.94/1.18 (assume @p443 (forall @t577 (= @t780 @t632))) % 0.94/1.18 (assume @p444 (forall @t577 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t178 @t770) @t767)) @t574))) % 0.94/1.18 (assume @p445 (forall @t771 (=> (not @t572) @t781))) % 0.94/1.18 (assume @p446 (forall @t583 (=> (not @t582) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t568 @t763)) @t580)))) % 0.94/1.18 (assume @p447 (forall @t590 (=> @t628 @t782))) % 0.94/1.18 (assume @p448 (forall @t590 (=> @t628 (=> (not (= @t763 @t558)) @t783)))) % 0.94/1.18 (assume @p449 (forall @t607 (=> @t617 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t178 @t605) @t559)) @t785)))) % 0.94/1.18 (assume @p450 (forall @t590 (=> @t782 (=> (not @t628) @t580)))) % 0.94/1.18 (assume @p451 (forall @t590 (=> @t783 @t628))) % 0.94/1.18 (assume @p452 (forall @t590 (=> @t765 @t628))) % 0.94/1.18 (assume @p453 (= @t349 @t760)) % 0.94/1.18 (assume @p454 (forall @t590 (=> @t773 @t628))) % 0.94/1.18 (assume @p455 (forall @t577 (=> @t631 @t781))) % 0.94/1.18 (assume @p456 (forall @t590 (=> @t628 @t773))) % 0.94/1.18 (assume @p457 (forall @t590 (=> @t564 @t782))) % 0.94/1.18 (assume @p458 (forall @t577 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t273 @t770) @t267)) @t574))) % 0.94/1.18 (assume @p459 (forall @t577 (= @t780 @t631))) % 0.94/1.18 (assume @p460 (forall @t771 (= @t572 @t769))) % 0.94/1.18 (assume @p461 (forall @t577 (= @t574 (exists @t635 (= @t267 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t634)))))) % 0.94/1.18 (assume @p462 (forall @t786 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t616 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t565 @t603)))))) % 0.94/1.18 (assume @p463 (forall @t786 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t616 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t611 @t562)))))) % 0.94/1.18 (assume @p464 (forall @t577 (= (= @t760 @t721) @t787))) % 0.94/1.18 (assume @p465 (forall @t577 (= (= @t721 @t760) @t787))) % 0.94/1.18 (assume @p466 (forall @t268 (= @t717 (exists @t275 (= @t267 @t788))))) % 0.94/1.18 (assume @p467 (forall @t268 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t571 @t760)) @t718))) % 0.94/1.18 (assume @p468 (forall @t577 (= @t780 (or @t720 (exists @t790 (and (= @t570 @t789) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t178 @t640) @t267)))))))) % 0.94/1.18 (assume @p469 (forall @t709 (tptp.hBOOL (tptp.hAPP @t179 tptp.bool (tptp.hAPP @t44 @t610 @t609 tptp.suc) @t608)))) % 0.94/1.18 (assume @p470 (forall @t719 (not (= @t763 @t712)))) % 0.94/1.18 (assume @p471 (forall @t719 (not (= @t712 @t763)))) % 0.94/1.18 (assume @p472 (forall (@list @t791) (not (= (tptp.hAPP tptp.nat tptp.nat tptp.suc @t791) @t712)))) % 0.94/1.18 (assume @p473 (forall (@list @t792) (not (= @t712 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t792))))) % 0.94/1.18 (assume @p474 (forall @t240 (= @t710 (tptp.hAPP tptp.nat @t179 @t273 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t234))))) % 0.94/1.18 (assume @p475 (forall @t268 (= (tptp.hAPP @t179 tptp.nat @t680 (tptp.hAPP @t179 @t179 @t674 (tptp.hAPP tptp.nat @t179 @t677 @t267))) @t767))) % 0.94/1.18 (assume @p476 (forall @t28 (=> @t793 (forall (@list @t227 @t302) (= @t440 @t473))))) % 0.94/1.18 (assume @p477 (forall @t28 (=> @t793 (forall @t796 (= @t795 (tptp.hAPP @t13 @t13 @t472 (tptp.hAPP @t13 @t13 @t435 @t437))))))) % 0.94/1.18 (assume @p478 (forall @t28 (=> @t793 (forall @t796 (= @t795 (tptp.hAPP @t13 @t13 @t797 @t437)))))) % 0.94/1.18 (assume @p479 (forall @t28 (=> @t793 @t491))) % 0.94/1.18 (assume @p480 (forall @t28 (=> @t793 (forall @t476 (= @t490 (tptp.hAPP @t13 @t13 @t797 @t225)))))) % 0.94/1.18 (assume @p481 (forall @t28 (=> @t793 (forall (@list @t227 @t225 @t302 @t437) (= (tptp.hAPP @t13 @t13 @t489 @t794) (tptp.hAPP @t13 @t13 @t797 @t439)))))) % 0.94/1.18 (assume @p482 (forall @t804 (=> @t803 (= (tptp.hAPP tptp.nat tptp.nat tptp.suc @t802) @t801)))) % 0.94/1.18 (assume @p483 (forall @t804 (=> @t803 (not (= @t801 @t712))))) % 0.94/1.18 (assume @p484 (forall @t804 (=> (not @t803) (= @t802 @t801)))) % 0.94/1.18 (assume @p485 (forall @t28 (=> @t793 @t730))) % 0.94/1.18 (assume @p486 (forall @t28 (=> @t793 @t725))) % 0.94/1.18 (assume @p487 (forall (@list @t142 @t361 @t638) (=> @t639 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 @t638)) (=> (forall @t151 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t641 @t638)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t148))) @t753))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 @t361))))))) % 0.94/1.18 (assume @p488 (forall @t590 (=> @t628 (exists @t635 (= @t558 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t565 @t633))))))) % 0.94/1.18 (assume @p489 (forall @t569 (=> @t714 @t805))) % 0.94/1.18 (assume @p490 (forall @t28 (=> @t298 (forall @t812 (=> (forall @t386 (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t380 @t811) @t810))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t722 @t806)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t380 @t808) @t807)))))))) % 0.94/1.18 (assume @p491 (forall @t28 (=> @t298 (forall @t812 (=> @t814 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t571 @t806)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t813 @t807)))))))) % 0.94/1.18 (assume @p492 (forall @t28 (=> @t298 (forall (@list @t267 @t570 @t333) (=> @t814 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t813 (tptp.hAPP tptp.nat @t13 @t333 @t570))) @t572)))))) % 0.94/1.18 (assume @p493 (forall @t569 (= @t762 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t44 @t350 @t349) @t558)))) % 0.94/1.18 (assume @p494 (forall @t569 (= @t762 (tptp.hAPP tptp.nat tptp.nat @t587 @t349)))) % 0.94/1.18 (assume @p495 (forall (@list @t558 @t815) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t766 @t815)) (exists @t275 (= @t815 @t788))))) % 0.94/1.18 (assume @p496 (forall @t817 (=> @t629 (=> (not (= @t559 @t784)) @t816)))) % 0.94/1.18 (assume @p497 (forall @t817 (=> @t785 @t816))) % 0.94/1.18 (assume @p498 (forall @t569 (=> @t716 @t805))) % 0.94/1.18 (assume @p499 (forall (@list @t281) (=> (not (= @t281 @t712)) (not (forall (@list @t818) (not (= @t281 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t818)))))))) % 0.94/1.18 (assume @p500 (forall (@list @t142 @t594) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 @t594)) (=> (forall @t386 (=> @t820 @t819)) @t756)))) % 0.94/1.18 (assume @p501 (forall @t758 (=> @t756 (=> (forall @t386 (=> @t819 @t820)) @t755)))) % 0.94/1.18 (assume @p502 (forall @t28 (=> (tptp.linordered_field @t13) (forall @t291 (=> (forall (@list @t821) (=> (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t744 @t821)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t381 (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t64 @t281) @t821))))) @t389))))) % 0.94/1.18 (assume @p503 (forall @t426 @t822)) % 0.94/1.18 (assume @p504 (forall @t426 (and @t822 @t751))) % 0.94/1.18 (assume @p505 (= (tptp.hAPP @t11 @t179 (tptp.hAPP @t112 @t826 @t825 tptp.h) @t184) @t824)) % 0.94/1.18 (assume @p506 (forall @t28 (=> @t471 (forall @t250 (=> @t827 (= (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t77 (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 @t64 (tptp.hAPP @t13 @t13 @t752 @t144)) @t144)) @t69)) @t748)))))) % 0.94/1.18 (assume @p507 (forall (@list @t13 @t15 @t336 @t143 @t333 @t117) (=> @t832 (=> @t700 (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t830 @t829)))))) % 0.94/1.18 (assume @p508 (forall (@list @t15 @t13 @t833 @t232) (=> (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t657 @t232)) (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t36 (tptp.hAPP @t34 @t37 (tptp.hAPP @t18 @t835 @t834 @t833) @t232)))))) % 0.94/1.18 (assume @p509 (forall (@list @t836 @t711) (tptp.hBOOL (tptp.hAPP @t179 tptp.bool @t675 (tptp.hAPP tptp.nat @t179 (tptp.hAPP tptp.nat @t195 @t823 @t836) @t711))))) % 0.94/1.18 (assume @p510 (not (forall (@list @t837) (=> (tptp.hBOOL (tptp.hAPP @t11 tptp.bool (tptp.hAPP @t112 @t223 @t222 @t837) @t184)) (not (= (tptp.hAPP @t11 @t179 (tptp.hAPP @t112 @t826 @t825 @t837) @t184) @t824)))))) % 0.94/1.18 (assume @p511 (forall @t28 (=> @t93 (forall @t841 (=> (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t34 @t58 @t458 @t840) @t839)) (or @t555 (and (tptp.hBOOL (tptp.hAPP @t13 tptp.bool (tptp.hAPP @t13 @t34 @t380 @t165) @t144)) (tptp.hBOOL (tptp.hAPP @t13 tptp.bool @t554 @t838))))))))) % 0.94/1.18 (assume @p512 (forall @t653 (=> @t427 (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t844 @t364))))) % 0.94/1.18 (assume @p513 (forall @t850 (=> @t658 (=> (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t467 @t849)) @t846)))) % 0.94/1.18 (assume @p514 (forall @t850 (=> @t658 (=> (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t34 @t58 @t458 @t849) @t336)) (=> @t846 (= @t849 @t527)))))) % 0.94/1.18 (assume @p515 (forall @t853 (=> @t681 (=> @t852 @t851)))) % 0.94/1.18 (assume @p516 (forall @t853 (=> @t681 (=> @t851 @t852)))) % 0.94/1.18 (assume @p517 (forall (@list @t13 @t15 @t336 @t364 @t333) (=> @t359 (= @t855 @t468)))) % 0.94/1.18 (assume @p518 (forall @t654 (=> @t658 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t273 @t856) @t650))))) % 0.94/1.18 (assume @p519 (forall @t654 (=> @t658 (=> @t857 @t416)))) % 0.94/1.18 (assume @p520 (forall @t654 (=> @t658 (= @t416 @t857)))) % 0.94/1.18 (assume @p521 (forall @t417 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t179 @t178 (tptp.hAPP @t34 tptp.nat @t33 @t829)) (tptp.hAPP @t37 tptp.nat @t648 @t336))) (not (tptp.hBOOL (tptp.hAPP @t37 tptp.bool (tptp.hAPP @t30 @t38 @t659 @t333) @t336)))))) % 0.94/1.18 (assume @p522 (forall @t28 (=> (tptp.ring_char_0 @t13) (forall @t250 (=> @t827 @t759))))) % 0.94/1.18 (assume @p523 (forall @t28 (=> @t76 (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t13 @t58 @t110 @t69) @t75))))) % 0.94/1.18 (assume @p524 (forall @t28 (=> @t76 (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t13 @t58 @t110 @t62) @t75))))) % 0.94/1.18 (assume @p525 (forall @t28 (=> @t76 (forall @t761 (=> @t827 (=> (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t830 @t75)) (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t13 @t58 @t110 @t487) @t75)))))))) % 0.94/1.18 (assume @p526 (forall (@list @t15 @t13 @t336 @t333 @t117 @t116) (=> (= (tptp.hAPP @t15 @t13 @t429 @t117) @t431) (=> (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t699 @t843)) (=> (tptp.hBOOL (tptp.hAPP @t37 tptp.bool (tptp.hAPP @t15 @t38 @t365 @t116) @t843)) (= (tptp.ti @t15 @t117) @t355)))))) % 0.94/1.18 (assume @p527 (forall @t430 (=> (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t244 @t829)) (tptp.hBOOL (tptp.hAPP @t37 tptp.bool (tptp.hAPP @t15 @t38 @t365 (tptp.hAPP @t13 @t15 @t860 @t117)) @t336))))) % 0.94/1.18 (assume @p528 (forall (@list @t13 @t15 @t116 @t333 @t336) (=> (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t419 @t829)) (= (tptp.hAPP @t15 @t13 @t333 (tptp.hAPP @t13 @t15 @t860 @t116)) @t323)))) % 0.94/1.18 (assume @p529 (forall (@list @t15 @t13 @t143 @t333 @t117 @t336) (=> @t337 (=> (= @t229 @t356) (tptp.hBOOL (tptp.hAPP @t37 tptp.bool (tptp.hAPP @t15 @t38 @t365 @t143) @t843)))))) % 0.94/1.18 (assume @p530 (forall (@list @t15 @t13 @t333 @t117 @t336) (=> @t337 (tptp.hBOOL (tptp.hAPP @t37 tptp.bool @t366 @t843))))) % 0.94/1.18 (assume @p531 (forall (@list @t13 @t15 @t124 @t333 @t336) (= (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t13 @t58 @t110 @t124) @t829)) (exists @t240 (and (tptp.hBOOL (tptp.hAPP @t37 tptp.bool (tptp.hAPP @t15 @t38 @t365 @t234) @t336)) (= (tptp.ti @t13 @t124) @t510)))))) % 0.94/1.18 (assume @p532 (forall (@list @t15 @t13 @t14 @t333 @t332 @t336) (= (tptp.hAPP @t37 @t34 @t828 (tptp.hAPP @t862 @t37 (tptp.hAPP @t378 (tptp.fun @t862 @t37) (tptp.image @t14 @t15) @t332) @t336)) (tptp.hAPP @t862 @t34 (tptp.hAPP @t90 @t863 @t861 (tptp.hAPP @t378 @t90 (tptp.hAPP @t30 (tptp.fun @t378 @t90) (tptp.combb @t15 @t13 @t14) @t333) @t332)) @t336)))) % 0.94/1.18 (assume @p533 (forall (@list @t13 @t864) (= (tptp.hAPP @t34 @t34 (tptp.hAPP @t27 @t95 @t847 @t26) @t864) (tptp.ti @t34 @t864)))) % 0.94/1.18 (assume @p534 (forall (@list @t13 @t15 @t364 @t333 @t336) (= (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t529 @t829)) (exists (@list @t865) (and (tptp.hBOOL (tptp.hAPP @t37 tptp.bool (tptp.hAPP @t37 @t38 @t552 @t865) @t336)) (= @t526 (tptp.hAPP @t37 @t34 @t828 @t865))))))) % 0.94/1.18 (assume @p535 (forall (@list @t15 @t13 @t333 @t336 @t364) (=> @t468 @t855))) % 0.94/1.18 (assume @p536 (forall @t28 (=> @t93 (forall (@list @t165 @t838 @t144 @t143) (=> @t507 (=> @t869 (= @t868 (and @t867 @t866)))))))) % 0.94/1.18 (assume @p537 (forall @t28 (=> @t93 (forall @t841 (=> @t868 (=> @t507 (=> @t869 @t867))))))) % 0.94/1.18 (assume @p538 (forall @t28 (=> @t93 (forall @t841 (=> @t868 (=> @t507 (=> @t869 @t866))))))) % 0.94/1.18 (assume @p539 (forall (@list @t15 @t13 @t14 @t333 @t332) (= (tptp.hAPP @t37 @t34 (tptp.hAPP @t30 @t97 @t96 (tptp.hAPP @t20 @t30 (tptp.hAPP @t90 (tptp.fun @t20 @t30) (tptp.combb @t14 @t13 @t15) @t333) @t332)) @t376) (tptp.hAPP @t862 @t34 (tptp.hAPP @t90 @t863 @t861 @t333) (tptp.hAPP @t37 @t862 (tptp.hAPP @t20 @t871 @t870 @t332) @t376))))) % 0.94/1.18 (assume @p540 (forall (@list @t13 @t15 @t143 @t333 @t117) (=> @t832 (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t830 @t872))))) % 0.94/1.18 (assume @p541 (forall (@list @t13 @t15 @t333 @t117) (tptp.hBOOL (tptp.hAPP @t34 tptp.bool (tptp.hAPP @t13 @t58 @t110 @t831) @t872)))) % 0.94/1.18 (assume @p542 (forall (@list @t14 @t13 @t15 @t333 @t332) (=> (tptp.hBOOL (tptp.hAPP @t34 tptp.bool @t657 (tptp.hAPP @t37 @t34 (tptp.hAPP @t30 @t97 @t96 @t332) @t376))) (tptp.hBOOL (tptp.hAPP @t862 tptp.bool (tptp.finite_finite_1 @t14) (tptp.hAPP @t37 @t862 (tptp.hAPP @t20 @t871 @t870 (tptp.hAPP @t30 @t20 (tptp.hAPP @t17 (tptp.fun @t30 @t20) (tptp.combb @t13 @t14 @t15) @t333) @t332)) @t376)))))) % 0.94/1.18 (assume @p543 (forall (@list @t336 @t594) (=> (tptp.hBOOL (tptp.hAPP @t179 tptp.bool (tptp.hAPP @t179 @t610 (tptp.ord_less_eq @t179) @t336) @t873)) (= @t336 @t873)))) % 0.94/1.18 (assume @p544 (forall @t470 (=> @t469 (=> @t537 (tptp.hBOOL (tptp.hAPP @t37 tptp.bool (tptp.hAPP @t37 @t38 (tptp.ord_less @t37) @t843) @t854)))))) % 0.94/1.18 (assume @p545 (forall (@list @t15 @t13 @t336 @t333) (=> (= @t872 @t242) (= (tptp.hAPP @t37 @t34 @t828 (tptp.hAPP @t34 @t37 (tptp.hAPP @t18 @t835 @t834 (tptp.hAPP @t30 @t18 (tptp.hAPP @t37 @t859 @t858 @t376) @t333)) @t336)) @t527)))) % 0.94/1.18 (assume @p546 (forall @t877 (=> (tptp.preorder @t874) (tptp.preorder @t876)))) % 0.94/1.18 (assume @p547 (forall @t877 (=> @t879 (tptp.finite_finite @t876)))) % 0.94/1.18 (assume @p548 (forall @t877 (=> (tptp.order @t874) (tptp.order @t876)))) % 0.94/1.18 (assume @p549 (forall @t877 (=> (tptp.top @t874) (tptp.top @t876)))) % 0.94/1.18 (assume @p550 (forall @t877 (=> (tptp.ord @t874) (tptp.ord @t876)))) % 0.94/1.18 (assume @p551 (tptp.semiri456707255roduct tptp.nat)) % 0.94/1.18 (assume @p552 (tptp.ordere223160158up_add tptp.nat)) % 0.94/1.18 (assume @p553 (tptp.ordere236663937imp_le tptp.nat)) % 0.94/1.18 (assume @p554 (tptp.ordere779506340up_add tptp.nat)) % 0.94/1.18 (assume @p555 (tptp.ordere216010020id_add tptp.nat)) % 0.94/1.18 (assume @p556 (tptp.cancel146912293up_add tptp.nat)) % 0.94/1.18 (assume @p557 (tptp.cancel_semigroup_add tptp.nat)) % 0.94/1.18 (assume @p558 (tptp.linordered_semidom tptp.nat)) % 0.94/1.18 (assume @p559 (tptp.ab_semigroup_add tptp.nat)) % 0.94/1.18 (assume @p560 (tptp.comm_monoid_add tptp.nat)) % 0.94/1.18 (assume @p561 (tptp.comm_semiring_1 tptp.nat)) % 0.94/1.18 (assume @p562 (tptp.zero_neq_one tptp.nat)) % 0.94/1.18 (assume @p563 (tptp.preorder tptp.nat)) % 0.94/1.18 (assume @p564 (tptp.linorder tptp.nat)) % 0.94/1.18 (assume @p565 (tptp.monoid_add tptp.nat)) % 0.94/1.18 (assume @p566 (tptp.order tptp.nat)) % 0.94/1.18 (assume @p567 (tptp.ord tptp.nat)) % 0.94/1.18 (assume @p568 (tptp.zero tptp.nat)) % 0.94/1.18 (assume @p569 (tptp.one tptp.nat)) % 0.94/1.18 (assume @p570 (tptp.preorder tptp.bool)) % 0.94/1.18 (assume @p571 (tptp.finite_finite tptp.bool)) % 0.94/1.18 (assume @p572 (tptp.order tptp.bool)) % 0.94/1.18 (assume @p573 (tptp.top tptp.bool)) % 0.94/1.18 (assume @p574 (tptp.ord tptp.bool)) % 0.94/1.18 (assume @p575 (forall @t877 (=> @t879 (tptp.finite_finite (tptp.sum_sum @t875 @t874))))) % 0.94/1.18 (assume @p576 (forall (@list @t874) (=> @t878 (tptp.finite_finite (tptp.option @t874))))) % 0.94/1.18 (assume @p577 (forall @t877 (=> @t879 (tptp.finite_finite (tptp.product_prod @t875 @t874))))) % 0.94/1.18 (assume @p578 (tptp.finite_finite tptp.product_unit)) % 0.94/1.18 (assume @p579 (forall (@list @t881 @t880) (= (tptp.ti @t881 @t882) @t882))) % 0.94/1.18 (assume @p580 (forall @t883 (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 (tptp.hAPP tptp.bool @t51 @t74 tptp.fTrue) @t280) @t281) @t285))) % 0.94/1.18 (assume @p581 (forall @t883 (= (tptp.hAPP @t13 @t13 (tptp.hAPP @t13 @t27 (tptp.hAPP tptp.bool @t51 @t74 tptp.fFalse) @t280) @t281) @t284))) % 0.94/1.18 (assume @p582 (forall @t886 (or (= @t885 tptp.fTrue) (= @t885 tptp.fFalse)))) % 0.94/1.18 (assume @p583 (forall @t886 (or (not @t889) @t888))) % 0.94/1.18 (assume @p584 (forall @t886 (or @t887 @t889))) % 0.94/1.18 (assume @p585 (forall @t893 (= (tptp.hAPP @t13 @t14 (tptp.hAPP @t18 @t17 (tptp.hAPP @t20 @t19 @t16 @t884) @t891) @t890) (tptp.hAPP @t15 @t14 @t884 @t892)))) % 0.94/1.18 (assume @p586 (forall @t893 (= (tptp.hAPP @t13 @t14 (tptp.hAPP @t15 @t17 (tptp.hAPP @t24 @t23 @t22 @t884) @t891) @t890) (tptp.hAPP @t15 @t14 @t894 @t891)))) % 0.94/1.18 (assume @p587 (forall (@list @t13 @t884) (= (tptp.hAPP @t13 @t13 @t26 @t884) @t895))) % 0.94/1.18 (assume @p588 (forall (@list @t15 @t13 @t884 @t891) (= (tptp.hAPP @t15 @t13 (tptp.hAPP @t13 @t30 @t29 @t884) @t891) @t895))) % 0.94/1.18 (assume @p589 (forall @t893 (= (tptp.hAPP @t13 @t14 (tptp.hAPP @t18 @t17 (tptp.hAPP @t24 @t19 @t32 @t884) @t891) @t890) (tptp.hAPP @t15 @t14 @t894 @t892)))) % 0.94/1.18 (assume @p590 (tptp.hBOOL tptp.fTrue)) % 0.94/1.18 (assume @p591 (forall @t899 (or @t888 @t898 @t896))) % 0.94/1.18 (assume @p592 (forall @t901 (or @t900 @t887))) % 0.94/1.18 (assume @p593 (forall @t901 (or @t900 @t897))) % 0.94/1.18 (assume @p594 (forall @t899 (or @t888 @t902))) % 0.94/1.18 (assume @p595 (forall @t901 (or @t898 @t902))) % 0.94/1.18 (assume @p596 (forall @t901 (or (not @t902) @t887 @t897))) % 0.94/1.18 (assume @p597 (forall @t883 (or (not @t903) @t286))) % 0.94/1.18 (assume @p598 (forall @t883 (or @t287 @t903))) % 0.94/1.18 (assume @p599 (not @t212)) % 0.94/1.18 (assume @p600 true) % 0.94/1.18 (step @p601 :rule symm :premises (@p77)) % 0.94/1.18 (step @p602 :rule equiv_elim1 :premises (@p601)) % 0.94/1.18 (step @p603 :rule reordering :premises (@p602) :args ((or @t212 (not @t211)))) % 0.94/1.18 (step @p604 :rule chain_m_resolution :premises (@p603 @p76) :args (@t212 @t904 (@list @t211))) % 0.94/1.18 (step @p605 false :rule chain_m_resolution :premises (@p599 @p604) :args (false @t904 (@list @t212))) % 0.94/1.18 ) % 0.94/1.18 % SZS output end Proof % 0.94/1.18 % cvc5 exiting %------------------------------------------------------------------------------