%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW473+6 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:05:04 AM UTC 2026 % Result : Theorem 6.61s 6.87s % Output : Proof 6.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW473+6 : TPTP v9.2.1. Released v5.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 22:08:17 EDT 2026 % 0.17/0.34 % CPUTime : % 0.42/0.72 %----Proving TF0_NAR, FOF, or CNF % 6.61/6.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 6.61/6.87 % SZS status Theorem % 6.61/6.87 % SZS output start Proof % 6.61/6.87 ( % 6.61/6.87 (declare-sort $$unsorted 0) % 6.61/6.87 (declare-const tptp.linord219039673up_add (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.zero_neq_one (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.dense_linorder (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.linordered_semidom (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.ordere223160158up_add (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.cancel146912293up_add (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.ordere236663937imp_le (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.ordered_ab_group_add (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.preorder (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.order (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.pn $$unsorted) % 6.61/6.87 (declare-const tptp.na $$unsorted) % 6.61/6.87 (declare-const tptp.mgt_call $$unsorted) % 6.61/6.87 (declare-const tptp.ordere779506340up_add (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.monoid_add (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.fFalse $$unsorted) % 6.61/6.87 (declare-const tptp.ord (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.one (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.one_one (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.minus (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.linorder (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.body $$unsorted) % 6.61/6.87 (declare-const tptp.minus_minus (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.finite1357897459simple (-> $$unsorted $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.finite_comp_fun_idem (-> $$unsorted $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.combb (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.fun (-> $$unsorted $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.undefined (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.fequal (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.ordere216010020id_add (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.u $$unsorted) % 6.61/6.87 (declare-const tptp.nat $$unsorted) % 6.61/6.87 (declare-const tptp.comm_monoid_add (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.finite_folding_one (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.ti (-> $$unsorted $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.combs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.combk (-> $$unsorted $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.the (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.collect (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.finite2073411215e_idem (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.wt $$unsorted) % 6.61/6.87 (declare-const tptp.finite_finite (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.fTrue $$unsorted) % 6.61/6.87 (declare-const tptp.bool $$unsorted) % 6.61/6.87 (declare-const tptp.combi (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.zero_zero (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.ab_group_add (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.ab_semigroup_add (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.com $$unsorted) % 6.61/6.87 (declare-const tptp.option (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.g $$unsorted) % 6.61/6.87 (declare-const tptp.pname $$unsorted) % 6.61/6.87 (declare-const tptp.nat_case (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.finite_card (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.sum_sum (-> $$unsorted $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.suc $$unsorted) % 6.61/6.87 (declare-const tptp.bot_bot (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.mgt $$unsorted) % 6.61/6.87 (declare-const tptp.ord_less (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.linordered_idom (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.bot (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.p $$unsorted) % 6.61/6.87 (declare-const tptp.ord_less_eq (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.partial_flat_lub (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.group_add (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.insert (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.the_elem (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.sum_Plus (-> $$unsorted $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.member (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.finite_finite_1 (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.fNot $$unsorted) % 6.61/6.87 (declare-const tptp.plus_plus (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.fconj $$unsorted) % 6.61/6.87 (declare-const tptp.fdisj $$unsorted) % 6.61/6.87 (declare-const tptp.cancel_semigroup_add (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.fimplies $$unsorted) % 6.61/6.87 (declare-const tptp.zero (-> $$unsorted Bool)) % 6.61/6.87 (declare-const tptp.combc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.the_1 (-> $$unsorted $$unsorted)) % 6.61/6.87 (declare-const tptp.x_a $$unsorted) % 6.61/6.87 (define @t1 () (@var "X_a" $$unsorted)) % 6.61/6.87 (define @t2 () (@var "X_c" $$unsorted)) % 6.61/6.87 (define @t3 () (@var "X_b" $$unsorted)) % 6.61/6.87 (define @t4 () (tptp.combb @t3 @t2 @t1)) % 6.61/6.87 (define @t5 () (tptp.fun @t1 @t2)) % 6.61/6.87 (define @t6 () (tptp.fun @t1 @t3)) % 6.61/6.87 (define @t7 () (tptp.fun @t6 @t5)) % 6.61/6.87 (define @t8 () (tptp.fun @t3 @t2)) % 6.61/6.87 (define @t9 () (tptp.combc @t1 @t3 @t2)) % 6.61/6.87 (define @t10 () (tptp.fun @t3 @t5)) % 6.61/6.87 (define @t11 () (tptp.fun @t1 @t8)) % 6.61/6.87 (define @t12 () (@list @t1 @t3 @t2)) % 6.61/6.87 (define @t13 () (tptp.combi @t1)) % 6.61/6.87 (define @t14 () (tptp.fun @t1 @t1)) % 6.61/6.87 (define @t15 () (@list @t1)) % 6.61/6.87 (define @t16 () (tptp.combk @t1 @t3)) % 6.61/6.87 (define @t17 () (tptp.fun @t3 @t1)) % 6.61/6.87 (define @t18 () (tptp.combs @t1 @t3 @t2)) % 6.61/6.87 (define @t19 () (tptp.option tptp.com)) % 6.61/6.87 (define @t20 () (tptp.finite_card @t2)) % 6.61/6.87 (define @t21 () (tptp.fun @t2 tptp.bool)) % 6.61/6.87 (define @t22 () (@list @t2)) % 6.61/6.87 (define @t23 () (tptp.finite_comp_fun_idem @t3 @t2)) % 6.61/6.87 (define @t24 () (tptp.fun @t2 @t2)) % 6.61/6.87 (define @t25 () (tptp.fun @t3 @t24)) % 6.61/6.87 (define @t26 () (@list @t3 @t2)) % 6.61/6.87 (define @t27 () (tptp.finite_finite @t3)) % 6.61/6.87 (define @t28 () (tptp.fun @t3 tptp.bool)) % 6.61/6.87 (define @t29 () (tptp.fun @t28 tptp.bool)) % 6.61/6.87 (define @t30 () (@list @t3)) % 6.61/6.87 (define @t31 () (tptp.finite1357897459simple @t3 @t2)) % 6.61/6.87 (define @t32 () (tptp.fun @t21 @t3)) % 6.61/6.87 (define @t33 () (tptp.fun @t32 tptp.bool)) % 6.61/6.87 (define @t34 () (tptp.fun @t2 @t3)) % 6.61/6.87 (define @t35 () (tptp.fun @t34 @t33)) % 6.61/6.87 (define @t36 () (tptp.fun @t3 @t35)) % 6.61/6.87 (define @t37 () (tptp.fun @t3 @t3)) % 6.61/6.87 (define @t38 () (tptp.fun @t3 @t37)) % 6.61/6.87 (define @t39 () (tptp.finite_folding_one @t3)) % 6.61/6.87 (define @t40 () (tptp.fun @t28 @t3)) % 6.61/6.87 (define @t41 () (tptp.fun @t40 tptp.bool)) % 6.61/6.87 (define @t42 () (tptp.fun @t38 @t41)) % 6.61/6.87 (define @t43 () (tptp.finite2073411215e_idem @t3)) % 6.61/6.87 (define @t44 () (tptp.minus_minus @t2)) % 6.61/6.87 (define @t45 () (tptp.minus @t2)) % 6.61/6.87 (define @t46 () (tptp.one_one @t3)) % 6.61/6.87 (define @t47 () (tptp.one @t3)) % 6.61/6.87 (define @t48 () (tptp.plus_plus @t1)) % 6.61/6.87 (define @t49 () (= (tptp.ti (tptp.fun @t1 @t14) @t48) @t48)) % 6.61/6.87 (define @t50 () (tptp.monoid_add @t1)) % 6.61/6.87 (define @t51 () (tptp.ab_semigroup_add @t1)) % 6.61/6.87 (define @t52 () (tptp.cancel_semigroup_add @t1)) % 6.61/6.87 (define @t53 () (tptp.zero_zero @t3)) % 6.61/6.87 (define @t54 () (tptp.zero @t3)) % 6.61/6.87 (define @t55 () (tptp.the @t3)) % 6.61/6.87 (define @t56 () (tptp.undefined @t1)) % 6.61/6.87 (define @t57 () (tptp.fun tptp.nat tptp.nat)) % 6.61/6.87 (define @t58 () (tptp.nat_case @t3)) % 6.61/6.87 (define @t59 () (tptp.fun tptp.nat @t3)) % 6.61/6.87 (define @t60 () (tptp.fun @t59 @t59)) % 6.61/6.87 (define @t61 () (tptp.the_1 tptp.com)) % 6.61/6.87 (define @t62 () (tptp.bot_bot @t2)) % 6.61/6.87 (define @t63 () (tptp.bot @t2)) % 6.61/6.87 (define @t64 () (tptp.ord_less @t1)) % 6.61/6.87 (define @t65 () (tptp.fun @t1 tptp.bool)) % 6.61/6.87 (define @t66 () (tptp.fun @t1 @t65)) % 6.61/6.87 (define @t67 () (tptp.ord @t1)) % 6.61/6.87 (define @t68 () (tptp.ord_less_eq @t2)) % 6.61/6.87 (define @t69 () (tptp.fun @t2 @t21)) % 6.61/6.87 (define @t70 () (tptp.ord @t2)) % 6.61/6.87 (define @t71 () (tptp.partial_flat_lub @t3)) % 6.61/6.87 (define @t72 () (tptp.collect @t3)) % 6.61/6.87 (define @t73 () (tptp.fun @t28 @t28)) % 6.61/6.87 (define @t74 () (tptp.image @t3 @t2)) % 6.61/6.87 (define @t75 () (tptp.fun @t28 @t21)) % 6.61/6.87 (define @t76 () (tptp.insert @t3)) % 6.61/6.87 (define @t77 () (tptp.fun @t3 @t73)) % 6.61/6.87 (define @t78 () (tptp.the_elem @t3)) % 6.61/6.87 (define @t79 () (tptp.sum_Plus @t3 @t2)) % 6.61/6.87 (define @t80 () (tptp.sum_sum @t3 @t2)) % 6.61/6.87 (define @t81 () (tptp.fun @t80 tptp.bool)) % 6.61/6.87 (define @t82 () (tptp.fun @t21 @t81)) % 6.61/6.87 (define @t83 () (tptp.fun tptp.bool tptp.bool)) % 6.61/6.87 (define @t84 () (tptp.fun tptp.bool @t83)) % 6.61/6.87 (define @t85 () (tptp.fequal @t1)) % 6.61/6.87 (define @t86 () (@var "B_2_1" $$unsorted)) % 6.61/6.87 (define @t87 () (@var "B_1_1" $$unsorted)) % 6.61/6.87 (define @t88 () (tptp.hAPP @t1 @t2 @t87 @t86)) % 6.61/6.87 (define @t89 () (@list @t1 @t2 @t87 @t86)) % 6.61/6.87 (define @t90 () (tptp.member @t3)) % 6.61/6.87 (define @t91 () (tptp.fun @t3 @t29)) % 6.61/6.87 (define @t92 () (tptp.fun tptp.x_a tptp.bool)) % 6.61/6.87 (define @t93 () (tptp.fun @t92 tptp.bool)) % 6.61/6.87 (define @t94 () (tptp.fun tptp.pname tptp.bool)) % 6.61/6.87 (define @t95 () (tptp.fun tptp.pname tptp.x_a)) % 6.61/6.87 (define @t96 () (@var "Ts" $$unsorted)) % 6.61/6.87 (define @t97 () (@var "G_1" $$unsorted)) % 6.61/6.87 (define @t98 () (tptp.hAPP @t92 @t93 tptp.p @t97)) % 6.61/6.87 (define @t99 () (tptp.ord_less_eq @t92)) % 6.61/6.87 (define @t100 () (@var "A_3" $$unsorted)) % 6.61/6.87 (define @t101 () (tptp.ord_less_eq @t28)) % 6.61/6.87 (define @t102 () (tptp.fun @t28 @t29)) % 6.61/6.87 (define @t103 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t100))) % 6.61/6.87 (define @t104 () (@list @t3 @t100)) % 6.61/6.87 (define @t105 () (@var "F_2" $$unsorted)) % 6.61/6.87 (define @t106 () (@var "H" $$unsorted)) % 6.61/6.87 (define @t107 () (tptp.finite_finite @t2)) % 6.61/6.87 (define @t108 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t105))) % 6.61/6.87 (define @t109 () (@var "A_2" $$unsorted)) % 6.61/6.87 (define @t110 () (tptp.hAPP @t3 @t73 @t76 @t109)) % 6.61/6.87 (define @t111 () (tptp.hAPP @t28 @t28 @t110 @t100)) % 6.61/6.87 (define @t112 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t111))) % 6.61/6.87 (define @t113 () (@list @t3 @t109 @t100)) % 6.61/6.87 (define @t114 () (tptp.finite_card @t3)) % 6.61/6.87 (define @t115 () (tptp.hAPP @t28 tptp.nat @t114 @t100)) % 6.61/6.87 (define @t116 () (@var "F" $$unsorted)) % 6.61/6.87 (define @t117 () (tptp.hAPP @t8 @t75 @t74 @t116)) % 6.61/6.87 (define @t118 () (tptp.hAPP @t28 @t21 @t117 @t100)) % 6.61/6.87 (define @t119 () (tptp.ord_less_eq tptp.nat)) % 6.61/6.87 (define @t120 () (tptp.fun tptp.nat tptp.bool)) % 6.61/6.87 (define @t121 () (@list @t2 @t3 @t116 @t100)) % 6.61/6.87 (define @t122 () (@var "B_2" $$unsorted)) % 6.61/6.87 (define @t123 () (tptp.hAPP @t28 tptp.nat @t114 @t122)) % 6.61/6.87 (define @t124 () (tptp.hAPP tptp.nat @t120 @t119 @t115)) % 6.61/6.87 (define @t125 () (tptp.hAPP @t28 @t29 @t101 @t100)) % 6.61/6.87 (define @t126 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t125 @t122))) % 6.61/6.87 (define @t127 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t122))) % 6.61/6.87 (define @t128 () (@list @t3 @t100 @t122)) % 6.61/6.87 (define @t129 () (tptp.ti @t28 @t122)) % 6.61/6.87 (define @t130 () (tptp.ti @t28 @t100)) % 6.61/6.87 (define @t131 () (= @t130 @t129)) % 6.61/6.87 (define @t132 () (@var "X_1" $$unsorted)) % 6.61/6.87 (define @t133 () (tptp.hAPP @t3 @t73 @t76 @t132)) % 6.61/6.87 (define @t134 () (tptp.hAPP @t28 @t28 @t133 @t100)) % 6.61/6.87 (define @t135 () (tptp.hAPP @t28 tptp.nat @t114 @t134)) % 6.61/6.87 (define @t136 () (@list @t3 @t132 @t100)) % 6.61/6.87 (define @t137 () (tptp.hAPP @t3 @t29 @t90 @t132)) % 6.61/6.87 (define @t138 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t137 @t100))) % 6.61/6.87 (define @t139 () (not @t138)) % 6.61/6.87 (define @t140 () (=> @t139 (= @t135 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t115)))) % 6.61/6.87 (define @t141 () (@var "Q_1" $$unsorted)) % 6.61/6.87 (define @t142 () (@var "Pa" $$unsorted)) % 6.61/6.87 (define @t143 () (tptp.combb tptp.bool @t83 @t3)) % 6.61/6.87 (define @t144 () (tptp.fun @t3 @t83)) % 6.61/6.87 (define @t145 () (tptp.fun @t28 @t144)) % 6.61/6.87 (define @t146 () (tptp.hAPP @t84 @t145 @t143 tptp.fconj)) % 6.61/6.87 (define @t147 () (tptp.combs @t3 tptp.bool tptp.bool)) % 6.61/6.87 (define @t148 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 (tptp.hAPP @t28 @t28 @t72 @t141)))) % 6.61/6.87 (define @t149 () (tptp.hAPP @t28 @t28 @t72 @t142)) % 6.61/6.87 (define @t150 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t149))) % 6.61/6.87 (define @t151 () (@var "N" $$unsorted)) % 6.61/6.87 (define @t152 () (@var "M" $$unsorted)) % 6.61/6.87 (define @t153 () (tptp.minus_minus tptp.nat)) % 6.61/6.87 (define @t154 () (tptp.hAPP tptp.nat @t57 @t153 @t152)) % 6.61/6.87 (define @t155 () (tptp.hAPP tptp.nat tptp.nat @t154 @t151)) % 6.61/6.87 (define @t156 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t152)) % 6.61/6.87 (define @t157 () (tptp.hAPP tptp.nat @t57 @t153 @t156)) % 6.61/6.87 (define @t158 () (tptp.hAPP tptp.nat tptp.nat @t157 @t151)) % 6.61/6.87 (define @t159 () (tptp.hAPP tptp.nat @t120 @t119 @t151)) % 6.61/6.87 (define @t160 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t159 @t152))) % 6.61/6.87 (define @t161 () (@list @t151 @t152)) % 6.61/6.87 (define @t162 () (@var "K_2" $$unsorted)) % 6.61/6.87 (define @t163 () (tptp.combc tptp.nat tptp.nat tptp.bool)) % 6.61/6.87 (define @t164 () (tptp.fun tptp.nat @t120)) % 6.61/6.87 (define @t165 () (tptp.hAPP @t164 @t164 @t163 @t119)) % 6.61/6.87 (define @t166 () (tptp.collect tptp.nat)) % 6.61/6.87 (define @t167 () (tptp.finite_finite tptp.nat)) % 6.61/6.87 (define @t168 () (@list @t162)) % 6.61/6.87 (define @t169 () (@var "Na" $$unsorted)) % 6.61/6.87 (define @t170 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t169)) % 6.61/6.87 (define @t171 () (tptp.finite_card tptp.nat)) % 6.61/6.87 (define @t172 () (@list @t169)) % 6.61/6.87 (define @t173 () (@var "Y" $$unsorted)) % 6.61/6.87 (define @t174 () (@var "X" $$unsorted)) % 6.61/6.87 (define @t175 () (= @t174 @t173)) % 6.61/6.87 (define @t176 () (@list @t174 @t173)) % 6.61/6.87 (define @t177 () (@var "Nat_3" $$unsorted)) % 6.61/6.87 (define @t178 () (@var "Nat_2" $$unsorted)) % 6.61/6.87 (define @t179 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t178)) % 6.61/6.87 (define @t180 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t151)) % 6.61/6.87 (define @t181 () (@list @t151)) % 6.61/6.87 (define @t182 () (= @t152 @t151)) % 6.61/6.87 (define @t183 () (tptp.hAPP tptp.nat @t120 @t119 @t152)) % 6.61/6.87 (define @t184 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t183 @t151))) % 6.61/6.87 (define @t185 () (@list @t152 @t151)) % 6.61/6.87 (define @t186 () (@var "K" $$unsorted)) % 6.61/6.87 (define @t187 () (@var "I" $$unsorted)) % 6.61/6.87 (define @t188 () (tptp.hAPP tptp.nat @t120 @t119 @t187)) % 6.61/6.87 (define @t189 () (@var "J_2" $$unsorted)) % 6.61/6.87 (define @t190 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t188 @t189))) % 6.61/6.87 (define @t191 () (@list @t186 @t187 @t189)) % 6.61/6.87 (define @t192 () (tptp.hAPP tptp.nat @t57 @t153 @t187)) % 6.61/6.87 (define @t193 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 (tptp.hAPP tptp.nat tptp.nat @t192 @t189)) @t186)) % 6.61/6.87 (define @t194 () (@list @t187 @t189 @t186)) % 6.61/6.87 (define @t195 () (tptp.hAPP @t84 @t145 @t143 tptp.fdisj)) % 6.61/6.87 (define @t196 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t156) @t151))) % 6.61/6.87 (define @t197 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t183 @t180))) % 6.61/6.87 (define @t198 () (@var "M_1" $$unsorted)) % 6.61/6.87 (define @t199 () (tptp.hAPP tptp.nat @t120 @t119 @t169)) % 6.61/6.87 (define @t200 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t198)) % 6.61/6.87 (define @t201 () (tptp.hAPP tptp.nat @t120 @t119 @t170)) % 6.61/6.87 (define @t202 () (@list @t169 @t198)) % 6.61/6.87 (define @t203 () (tptp.hAPP tptp.nat @t120 @t119 @t198)) % 6.61/6.87 (define @t204 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t203 @t169))) % 6.61/6.87 (define @t205 () (@list @t198 @t169)) % 6.61/6.87 (define @t206 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t201 @t198))) % 6.61/6.87 (define @t207 () (tptp.hAPP tptp.nat @t120 @t119 @t180)) % 6.61/6.87 (define @t208 () (@list @t152 @t151 @t186)) % 6.61/6.87 (define @t209 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 @t169) @t162)) % 6.61/6.87 (define @t210 () (tptp.hAPP tptp.nat @t57 @t153 @t198)) % 6.61/6.87 (define @t211 () (tptp.hAPP tptp.nat tptp.nat @t210 @t162)) % 6.61/6.87 (define @t212 () (tptp.hAPP tptp.nat @t120 @t119 @t162)) % 6.61/6.87 (define @t213 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t212 @t169))) % 6.61/6.87 (define @t214 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t212 @t198))) % 6.61/6.87 (define @t215 () (@list @t169 @t162 @t198)) % 6.61/6.87 (define @t216 () (tptp.hAPP tptp.nat @t57 @t153 @t151)) % 6.61/6.87 (define @t217 () (tptp.hAPP tptp.nat @t120 @t119 @t186)) % 6.61/6.87 (define @t218 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t217 @t151))) % 6.61/6.87 (define @t219 () (= @t198 @t169)) % 6.61/6.87 (define @t220 () (@var "L" $$unsorted)) % 6.61/6.87 (define @t221 () (@list @t220 @t152 @t151)) % 6.61/6.87 (define @t222 () (tptp.hAPP tptp.nat @t57 @t153 @t220)) % 6.61/6.87 (define @t223 () (tptp.hAPP tptp.nat tptp.nat @t222 @t152)) % 6.61/6.87 (define @t224 () (tptp.hAPP tptp.nat tptp.nat @t222 @t151)) % 6.61/6.87 (define @t225 () (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t107 @t122))) % 6.61/6.87 (define @t226 () (tptp.ord_less_eq @t21)) % 6.61/6.87 (define @t227 () (tptp.fun @t21 tptp.bool)) % 6.61/6.87 (define @t228 () (@var "C_3" $$unsorted)) % 6.61/6.87 (define @t229 () (tptp.hAPP @t34 (tptp.fun @t21 @t28) (tptp.image @t2 @t3) @t116)) % 6.61/6.87 (define @t230 () (tptp.hAPP @t21 @t28 @t229 @t100)) % 6.61/6.87 (define @t231 () (tptp.hAPP @t28 @t29 @t101 @t122)) % 6.61/6.87 (define @t232 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t231 @t230))) % 6.61/6.87 (define @t233 () (@list @t2 @t3 @t116 @t100 @t122)) % 6.61/6.87 (define @t234 () (@var "N_3" $$unsorted)) % 6.61/6.87 (define @t235 () (tptp.hAPP tptp.nat @t3 @t116 @t234)) % 6.61/6.87 (define @t236 () (tptp.hAPP tptp.nat @t3 @t116 @t169)) % 6.61/6.87 (define @t237 () (tptp.ord_less_eq @t3)) % 6.61/6.87 (define @t238 () (@var "N_2" $$unsorted)) % 6.61/6.87 (define @t239 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t238)) % 6.61/6.87 (define @t240 () (tptp.hAPP tptp.nat @t3 @t116 @t239)) % 6.61/6.87 (define @t241 () (tptp.hAPP tptp.nat @t3 @t116 @t238)) % 6.61/6.87 (define @t242 () (@list @t238)) % 6.61/6.87 (define @t243 () (@list @t169 @t234 @t116)) % 6.61/6.87 (define @t244 () (tptp.order @t3)) % 6.61/6.87 (define @t245 () (@var "X_2" $$unsorted)) % 6.61/6.87 (define @t246 () (tptp.hAPP @t3 @t2 @t116 @t245)) % 6.61/6.87 (define @t247 () (tptp.fun @t3 @t21)) % 6.61/6.87 (define @t248 () (tptp.hAPP @t91 @t73 (tptp.combc @t3 @t28 tptp.bool) @t90)) % 6.61/6.87 (define @t249 () (tptp.hAPP @t144 @t73 @t147 (tptp.hAPP @t28 @t144 @t146 (tptp.hAPP @t28 @t28 @t248 @t100)))) % 6.61/6.87 (define @t250 () (tptp.hAPP @t3 @t29 @t90 @t245)) % 6.61/6.87 (define @t251 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t250 @t100))) % 6.61/6.87 (define @t252 () (@list @t245)) % 6.61/6.87 (define @t253 () (not @t103)) % 6.61/6.87 (define @t254 () (@var "B" $$unsorted)) % 6.61/6.87 (define @t255 () (tptp.hAPP @t3 @t29 @t90 @t254)) % 6.61/6.87 (define @t256 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t255 @t230))) % 6.61/6.87 (define @t257 () (tptp.member @t2)) % 6.61/6.87 (define @t258 () (tptp.hBOOL (tptp.hAPP @t21 tptp.bool (tptp.hAPP @t2 @t227 @t257 @t132) @t100))) % 6.61/6.87 (define @t259 () (tptp.ti @t3 @t254)) % 6.61/6.87 (define @t260 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t231 @t100))) % 6.61/6.87 (define @t261 () (@var "C_1" $$unsorted)) % 6.61/6.87 (define @t262 () (tptp.hAPP @t3 @t29 @t90 @t261)) % 6.61/6.87 (define @t263 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t262 @t122))) % 6.61/6.87 (define @t264 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t262 @t100))) % 6.61/6.87 (define @t265 () (=> @t264 @t263)) % 6.61/6.87 (define @t266 () (@list @t3 @t261 @t100 @t122)) % 6.61/6.87 (define @t267 () (tptp.hAPP @t3 @t73 @t76 @t254)) % 6.61/6.87 (define @t268 () (tptp.hAPP @t28 @t28 @t267 @t122)) % 6.61/6.87 (define @t269 () (tptp.hAPP @t3 @t29 @t90 @t109)) % 6.61/6.87 (define @t270 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t269 @t268))) % 6.61/6.87 (define @t271 () (tptp.ti @t3 @t109)) % 6.61/6.87 (define @t272 () (= @t271 @t259)) % 6.61/6.87 (define @t273 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t269 @t122))) % 6.61/6.87 (define @t274 () (not @t273)) % 6.61/6.87 (define @t275 () (@list @t3 @t254 @t109 @t122)) % 6.61/6.87 (define @t276 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t269 @t100))) % 6.61/6.87 (define @t277 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t269 (tptp.hAPP @t28 @t28 @t267 @t100)))) % 6.61/6.87 (define @t278 () (@list @t3 @t109 @t254 @t100)) % 6.61/6.87 (define @t279 () (@var "I_1" $$unsorted)) % 6.61/6.87 (define @t280 () (@var "M_2" $$unsorted)) % 6.61/6.87 (define @t281 () (@var "M_3" $$unsorted)) % 6.61/6.87 (define @t282 () (@list @t280)) % 6.61/6.87 (define @t283 () (tptp.hAPP @t28 @t28 @t110 @t122)) % 6.61/6.87 (define @t284 () (@list @t3 @t109 @t122)) % 6.61/6.87 (define @t285 () (tptp.hAPP @t28 @t28 @t248 @t122)) % 6.61/6.87 (define @t286 () (tptp.fequal @t3)) % 6.61/6.87 (define @t287 () (tptp.fun @t3 @t28)) % 6.61/6.87 (define @t288 () (tptp.hAPP @t287 @t287 (tptp.combc @t3 @t3 tptp.bool) @t286)) % 6.61/6.87 (define @t289 () (tptp.hAPP @t3 @t28 @t288 @t109)) % 6.61/6.87 (define @t290 () (tptp.combb tptp.bool tptp.bool @t3)) % 6.61/6.87 (define @t291 () (tptp.hAPP @t83 @t73 @t290 tptp.fNot)) % 6.61/6.87 (define @t292 () (@list @t3 @t109 @t142)) % 6.61/6.87 (define @t293 () (@var "Y_1" $$unsorted)) % 6.61/6.87 (define @t294 () (tptp.hAPP @t3 @t73 @t76 @t293)) % 6.61/6.87 (define @t295 () (tptp.hAPP @t28 @t28 @t294 @t100)) % 6.61/6.87 (define @t296 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t100 @t132))) % 6.61/6.87 (define @t297 () (tptp.ti @t3 @t132)) % 6.61/6.87 (define @t298 () (tptp.ti @t3 @t293)) % 6.61/6.87 (define @t299 () (tptp.hAPP @t28 @t28 @t133 @t122)) % 6.61/6.87 (define @t300 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t137 @t122))) % 6.61/6.87 (define @t301 () (not @t300)) % 6.61/6.87 (define @t302 () (@list @t3 @t122 @t132 @t100)) % 6.61/6.87 (define @t303 () (@list @t3 @t132 @t100 @t122)) % 6.61/6.87 (define @t304 () (@var "G" $$unsorted)) % 6.61/6.87 (define @t305 () (tptp.hAPP @t3 @t2 @t304 @t245)) % 6.61/6.87 (define @t306 () (@list @t3 @t142)) % 6.61/6.87 (define @t307 () (@var "C_2" $$unsorted)) % 6.61/6.87 (define @t308 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t125 @t307))) % 6.61/6.87 (define @t309 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t231 @t307))) % 6.61/6.87 (define @t310 () (@list @t3 @t307 @t100 @t122)) % 6.61/6.87 (define @t311 () (tptp.hAPP @t2 @t3 @t116 @t245)) % 6.61/6.87 (define @t312 () (@var "Z_1" $$unsorted)) % 6.61/6.87 (define @t313 () (tptp.ti @t3 @t312)) % 6.61/6.87 (define @t314 () (tptp.hBOOL (tptp.hAPP @t21 tptp.bool (tptp.hAPP @t2 @t227 @t257 @t245) @t100))) % 6.61/6.87 (define @t315 () (tptp.hAPP @t3 @t2 @t116 @t132)) % 6.61/6.87 (define @t316 () (tptp.hBOOL (tptp.hAPP @t21 tptp.bool (tptp.hAPP @t2 @t227 @t257 @t315) @t118))) % 6.61/6.87 (define @t317 () (@list @t2 @t3 @t116 @t132 @t100)) % 6.61/6.87 (define @t318 () (forall @t317 (=> @t138 @t316))) % 6.61/6.87 (define @t319 () (@var "Xa" $$unsorted)) % 6.61/6.87 (define @t320 () (tptp.hAPP @t3 @t73 @t76 @t245)) % 6.61/6.87 (define @t321 () (@var "X_d" $$unsorted)) % 6.61/6.87 (define @t322 () (tptp.fun @t321 @t3)) % 6.61/6.87 (define @t323 () (tptp.fun @t321 @t2)) % 6.61/6.87 (define @t324 () (tptp.fun @t321 tptp.bool)) % 6.61/6.87 (define @t325 () (@var "Y_3" $$unsorted)) % 6.61/6.87 (define @t326 () (tptp.image @t3 @t3)) % 6.61/6.87 (define @t327 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t125 @t299))) % 6.61/6.87 (define @t328 () (@var "D_2" $$unsorted)) % 6.61/6.87 (define @t329 () (tptp.hAPP @t21 @t28 @t229 @t122)) % 6.61/6.87 (define @t330 () (tptp.insert @t2)) % 6.61/6.87 (define @t331 () (tptp.fun @t21 @t21)) % 6.61/6.87 (define @t332 () (@var "AA" $$unsorted)) % 6.61/6.87 (define @t333 () (tptp.hAPP @t21 @t227 @t226 @t118)) % 6.61/6.87 (define @t334 () (@list @t3 @t122 @t100)) % 6.61/6.87 (define @t335 () (tptp.ord_less_eq @t1)) % 6.61/6.87 (define @t336 () (tptp.hAPP @t1 @t65 @t335 @t174)) % 6.61/6.87 (define @t337 () (@list @t174)) % 6.61/6.87 (define @t338 () (tptp.preorder @t1)) % 6.61/6.87 (define @t339 () (@var "N_1" $$unsorted)) % 6.61/6.87 (define @t340 () (tptp.hBOOL (tptp.hAPP @t120 tptp.bool (tptp.hAPP tptp.nat (tptp.fun @t120 tptp.bool) (tptp.member tptp.nat) @t245) @t339))) % 6.61/6.87 (define @t341 () (tptp.hBOOL (tptp.hAPP @t120 tptp.bool @t167 @t339))) % 6.61/6.87 (define @t342 () (@list @t339)) % 6.61/6.87 (define @t343 () (tptp.bot_bot @t92)) % 6.61/6.87 (define @t344 () (tptp.insert tptp.x_a)) % 6.61/6.87 (define @t345 () (tptp.fun @t92 @t92)) % 6.61/6.87 (define @t346 () (tptp.member tptp.pname)) % 6.61/6.87 (define @t347 () (tptp.fun @t94 tptp.bool)) % 6.61/6.87 (define @t348 () (tptp.hAPP @t2 @t21 @t68 @t246)) % 6.61/6.87 (define @t349 () (forall @t252 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t348 @t305)))) % 6.61/6.87 (define @t350 () (tptp.ord_less_eq @t8)) % 6.61/6.87 (define @t351 () (tptp.fun @t8 tptp.bool)) % 6.61/6.87 (define @t352 () (tptp.hBOOL (tptp.hAPP @t8 tptp.bool (tptp.hAPP @t8 @t351 @t350 @t116) @t304))) % 6.61/6.87 (define @t353 () (@list @t116 @t304)) % 6.61/6.87 (define @t354 () (tptp.bot_bot @t28)) % 6.61/6.87 (define @t355 () (@list @t3 @t109)) % 6.61/6.87 (define @t356 () (= @t130 @t354)) % 6.61/6.87 (define @t357 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t142 @t245))) % 6.61/6.87 (define @t358 () (forall @t252 (not @t357))) % 6.61/6.87 (define @t359 () (not @t356)) % 6.61/6.87 (define @t360 () (tptp.bot_bot @t3)) % 6.61/6.87 (define @t361 () (@list @t132)) % 6.61/6.87 (define @t362 () (tptp.bot @t3)) % 6.61/6.87 (define @t363 () (@list @t2 @t3)) % 6.61/6.87 (define @t364 () (tptp.bot_bot @t1)) % 6.61/6.87 (define @t365 () (@var "A_1" $$unsorted)) % 6.61/6.87 (define @t366 () (tptp.ti @t1 @t365)) % 6.61/6.87 (define @t367 () (tptp.hAPP @t1 @t65 @t335 @t365)) % 6.61/6.87 (define @t368 () (@list @t365)) % 6.61/6.87 (define @t369 () (tptp.bot @t1)) % 6.61/6.87 (define @t370 () (= @t271 @t360)) % 6.61/6.87 (define @t371 () (tptp.hAPP @t3 @t28 @t237 @t109)) % 6.61/6.87 (define @t372 () (@list @t109)) % 6.61/6.87 (define @t373 () (tptp.hAPP @t28 @t28 @t267 @t354)) % 6.61/6.87 (define @t374 () (tptp.hAPP @t28 @t28 @t110 @t354)) % 6.61/6.87 (define @t375 () (= @t259 @t271)) % 6.61/6.87 (define @t376 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t255 @t374))) % 6.61/6.87 (define @t377 () (@list @t3 @t254 @t109)) % 6.61/6.87 (define @t378 () (tptp.ti @t3 @t261)) % 6.61/6.87 (define @t379 () (= @t259 @t378)) % 6.61/6.87 (define @t380 () (@var "D_1" $$unsorted)) % 6.61/6.87 (define @t381 () (tptp.ti @t3 @t380)) % 6.61/6.87 (define @t382 () (tptp.bot_bot @t21)) % 6.61/6.87 (define @t383 () (= (tptp.ti @t21 @t100) @t382)) % 6.61/6.87 (define @t384 () (tptp.hAPP @t28 @t28 @t72 (tptp.hAPP @t28 @t28 (tptp.hAPP @t144 @t73 @t147 (tptp.hAPP @t28 @t144 @t146 @t289)) @t142))) % 6.61/6.87 (define @t385 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t142 @t109))) % 6.61/6.87 (define @t386 () (not @t385)) % 6.61/6.87 (define @t387 () (@list @t3 @t142 @t109)) % 6.61/6.87 (define @t388 () (tptp.hAPP @t3 @t28 @t286 @t109)) % 6.61/6.87 (define @t389 () (tptp.hAPP @t28 @t28 @t72 (tptp.hAPP @t28 @t28 (tptp.hAPP @t144 @t73 @t147 (tptp.hAPP @t28 @t144 @t146 @t388)) @t142))) % 6.61/6.87 (define @t390 () (tptp.hAPP @t28 @t28 @t133 @t354)) % 6.61/6.87 (define @t391 () (tptp.hAPP @t28 @t21 (tptp.hAPP @t8 @t75 @t74 (tptp.hAPP @t2 @t8 (tptp.combk @t2 @t3) @t261)) @t100)) % 6.61/6.87 (define @t392 () (= @t391 (tptp.hAPP @t21 @t21 (tptp.hAPP @t2 @t331 @t330 @t261) @t382))) % 6.61/6.87 (define @t393 () (tptp.hAPP @t1 @t65 @t335 @t173)) % 6.61/6.87 (define @t394 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t393 @t174))) % 6.61/6.87 (define @t395 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t336 @t173))) % 6.61/6.87 (define @t396 () (tptp.linorder @t1)) % 6.61/6.87 (define @t397 () (@var "Z" $$unsorted)) % 6.61/6.87 (define @t398 () (tptp.hAPP @t1 @t65 @t335 @t397)) % 6.61/6.87 (define @t399 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t398 @t173))) % 6.61/6.87 (define @t400 () (@list @t397 @t173 @t174)) % 6.61/6.87 (define @t401 () (tptp.order @t1)) % 6.61/6.87 (define @t402 () (tptp.ti @t1 @t173)) % 6.61/6.87 (define @t403 () (tptp.ti @t1 @t174)) % 6.61/6.87 (define @t404 () (= @t403 @t402)) % 6.61/6.87 (define @t405 () (@list @t173 @t174)) % 6.61/6.87 (define @t406 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t393 @t397))) % 6.61/6.87 (define @t407 () (@list @t397 @t174 @t173)) % 6.61/6.87 (define @t408 () (@var "C" $$unsorted)) % 6.61/6.87 (define @t409 () (tptp.hAPP @t1 @t65 @t335 @t408)) % 6.61/6.87 (define @t410 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t409 @t365))) % 6.61/6.87 (define @t411 () (@var "B_1" $$unsorted)) % 6.61/6.87 (define @t412 () (tptp.ti @t1 @t411)) % 6.61/6.87 (define @t413 () (= @t412 (tptp.ti @t1 @t408))) % 6.61/6.87 (define @t414 () (tptp.hAPP @t1 @t65 @t335 @t411)) % 6.61/6.87 (define @t415 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t414 @t365))) % 6.61/6.87 (define @t416 () (@list @t408 @t411 @t365)) % 6.61/6.87 (define @t417 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t367 @t408))) % 6.61/6.87 (define @t418 () (= @t411 @t408)) % 6.61/6.87 (define @t419 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t367 @t411))) % 6.61/6.87 (define @t420 () (@list @t408 @t365 @t411)) % 6.61/6.87 (define @t421 () (= @t366 @t412)) % 6.61/6.87 (define @t422 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t414 @t408))) % 6.61/6.87 (define @t423 () (= @t365 @t411)) % 6.61/6.87 (define @t424 () (= @t297 @t298)) % 6.61/6.87 (define @t425 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t237 @t132) @t293))) % 6.61/6.87 (define @t426 () (= @t425 @t424)) % 6.61/6.87 (define @t427 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t237 @t293) @t132))) % 6.61/6.87 (define @t428 () (@list @t293 @t132)) % 6.61/6.87 (define @t429 () (@list @t132 @t293)) % 6.61/6.87 (define @t430 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t142 @t105))) % 6.61/6.87 (define @t431 () (@var "F_3" $$unsorted)) % 6.61/6.87 (define @t432 () (@var "A_5" $$unsorted)) % 6.61/6.87 (define @t433 () (tptp.hAPP @t3 @t73 @t76 @t432)) % 6.61/6.87 (define @t434 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t142 @t431))) % 6.61/6.87 (define @t435 () (tptp.hAPP @t3 @t29 @t90 @t432)) % 6.61/6.87 (define @t436 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t431))) % 6.61/6.87 (define @t437 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t142 @t354))) % 6.61/6.87 (define @t438 () (@var "Pn" $$unsorted)) % 6.61/6.87 (define @t439 () (tptp.hAPP tptp.x_a @t345 @t344 (tptp.hAPP tptp.pname tptp.x_a tptp.mgt_call @t438))) % 6.61/6.87 (define @t440 () (tptp.hAPP @t19 tptp.com @t61 (tptp.hAPP tptp.pname @t19 tptp.body @t438))) % 6.61/6.87 (define @t441 () (=> (not (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t250 @t431))) (=> @t434 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t142 (tptp.hAPP @t28 @t28 @t320 @t431)))))) % 6.61/6.87 (define @t442 () (@list @t245 @t431)) % 6.61/6.87 (define @t443 () (@list @t3 @t142 @t105)) % 6.61/6.87 (define @t444 () (@var "A_4" $$unsorted)) % 6.61/6.87 (define @t445 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t444))) % 6.61/6.87 (define @t446 () (tptp.ti @t28 @t109)) % 6.61/6.87 (define @t447 () (@var "U" $$unsorted)) % 6.61/6.87 (define @t448 () (tptp.hAPP tptp.nat tptp.nat @t116 @t238)) % 6.61/6.87 (define @t449 () (@list @t3 @t132)) % 6.61/6.87 (define @t450 () (@var "B_4" $$unsorted)) % 6.61/6.87 (define @t451 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t371 @t254))) % 6.61/6.87 (define @t452 () (tptp.minus_minus @t3)) % 6.61/6.87 (define @t453 () (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t37 @t452 @t109) @t254)) % 6.61/6.87 (define @t454 () (= @t453 (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t37 @t452 @t261) @t380))) % 6.61/6.87 (define @t455 () (@list @t109 @t254 @t261 @t380)) % 6.61/6.87 (define @t456 () (tptp.ordered_ab_group_add @t3)) % 6.61/6.87 (define @t457 () (tptp.hAPP @t28 @t3 @t105 @t100)) % 6.61/6.87 (define @t458 () (tptp.hBOOL (tptp.hAPP @t40 tptp.bool (tptp.hAPP @t38 @t41 @t43 @t116) @t105))) % 6.61/6.87 (define @t459 () (tptp.hAPP @t3 @t37 @t116 @t132)) % 6.61/6.87 (define @t460 () (tptp.hAPP @t3 @t3 @t459 @t457)) % 6.61/6.87 (define @t461 () (tptp.hAPP @t28 @t3 @t105 @t134)) % 6.61/6.87 (define @t462 () (=> @t359 (= @t461 @t460))) % 6.61/6.87 (define @t463 () (@list @t3 @t132 @t100 @t116 @t105)) % 6.61/6.87 (define @t464 () (tptp.hAPP @t28 @t287 (tptp.hAPP @t77 (tptp.fun @t28 @t287) (tptp.combc @t3 @t28 @t28) @t76) @t354)) % 6.61/6.87 (define @t465 () (@var "X_3" $$unsorted)) % 6.61/6.87 (define @t466 () (tptp.hBOOL (tptp.hAPP @t40 tptp.bool (tptp.hAPP @t38 @t41 @t39 @t116) @t105))) % 6.61/6.87 (define @t467 () (tptp.minus_minus @t28)) % 6.61/6.87 (define @t468 () (tptp.hAPP @t28 @t73 @t467 @t100)) % 6.61/6.87 (define @t469 () (tptp.hAPP @t28 @t28 @t468 @t122)) % 6.61/6.87 (define @t470 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t469))) % 6.61/6.87 (define @t471 () (@list @t3 @t132 @t116 @t105)) % 6.61/6.87 (define @t472 () (tptp.hAPP @t28 @t73 @t467 @t134)) % 6.61/6.87 (define @t473 () (tptp.hAPP @t28 @t28 @t472 @t122)) % 6.61/6.87 (define @t474 () (=> @t300 (= @t473 @t469))) % 6.61/6.87 (define @t475 () (@list @t3 @t100 @t132 @t122)) % 6.61/6.87 (define @t476 () (tptp.hAPP @t28 @t73 @t467 @t307)) % 6.61/6.87 (define @t477 () (tptp.hAPP @t28 @t73 @t467 @t122)) % 6.61/6.87 (define @t478 () (tptp.hAPP @t28 @t29 @t101 @t469)) % 6.61/6.87 (define @t479 () (tptp.hAPP @t28 @t28 @t468 @t390)) % 6.61/6.87 (define @t480 () (tptp.hAPP @t3 @t3 @t459 (tptp.hAPP @t28 @t3 @t105 @t479))) % 6.61/6.87 (define @t481 () (= @t479 @t354)) % 6.61/6.87 (define @t482 () (not @t481)) % 6.61/6.87 (define @t483 () (tptp.hAPP @t28 @t73 @t467 @t469)) % 6.61/6.87 (define @t484 () (tptp.hAPP @t28 @t28 @t468 @t283)) % 6.61/6.87 (define @t485 () (@list @t3 @t100 @t109 @t122)) % 6.61/6.87 (define @t486 () (tptp.hAPP @t28 @t28 @t468 @t374)) % 6.61/6.87 (define @t487 () (tptp.hAPP @t28 @t28 @t110 @t486)) % 6.61/6.87 (define @t488 () (tptp.hAPP @t21 @t331 (tptp.minus_minus @t21) @t100)) % 6.61/6.87 (define @t489 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t101 @t479) @t122))) % 6.61/6.87 (define @t490 () (=> @t139 @t126)) % 6.61/6.87 (define @t491 () (tptp.ab_group_add @t3)) % 6.61/6.87 (define @t492 () (tptp.hAPP tptp.nat @t57 @t153 @t115)) % 6.61/6.87 (define @t493 () (tptp.hAPP tptp.nat tptp.nat @t492 @t123)) % 6.61/6.87 (define @t494 () (tptp.hAPP @t28 tptp.nat @t114 @t469)) % 6.61/6.87 (define @t495 () (tptp.hAPP @t28 tptp.nat @t114 @t479)) % 6.61/6.87 (define @t496 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t495)) % 6.61/6.87 (define @t497 () (@var "Y_2" $$unsorted)) % 6.61/6.87 (define @t498 () (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t37 @t116 @t245) @t497)) % 6.61/6.87 (define @t499 () (@list @t245 @t497)) % 6.61/6.87 (define @t500 () (tptp.hAPP @t2 @t331 @t330 @t132)) % 6.61/6.87 (define @t501 () (tptp.hAPP @t3 @t37 @t116 (tptp.hAPP @t2 @t3 @t304 @t132))) % 6.61/6.87 (define @t502 () (tptp.hAPP @t3 @t3 @t501 (tptp.hAPP @t21 @t3 @t105 (tptp.hAPP @t21 @t21 @t488 (tptp.hAPP @t21 @t21 @t500 @t382))))) % 6.61/6.87 (define @t503 () (tptp.hAPP @t21 @t3 @t105 @t100)) % 6.61/6.87 (define @t504 () (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t107 @t100))) % 6.61/6.87 (define @t505 () (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t34 @t33 (tptp.hAPP @t3 @t35 (tptp.hAPP @t38 @t36 @t31 @t116) @t312) @t304) @t105))) % 6.61/6.87 (define @t506 () (@list @t2 @t3 @t132 @t100 @t116 @t312 @t304 @t105)) % 6.61/6.87 (define @t507 () (tptp.hAPP @t21 @t3 @t105 (tptp.hAPP @t21 @t21 @t500 @t100))) % 6.61/6.87 (define @t508 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t262 @t469))) % 6.61/6.87 (define @t509 () (not @t263)) % 6.61/6.87 (define @t510 () (tptp.hAPP @t28 @t3 @t55 (tptp.hAPP @t28 @t28 (tptp.hAPP @t144 @t73 @t147 (tptp.hAPP @t28 @t144 @t146 (tptp.hAPP @t28 @t28 (tptp.hAPP @t83 @t73 @t290 (tptp.hAPP tptp.bool @t83 tptp.fimplies @t142)) (tptp.hAPP @t3 @t28 @t288 @t132)))) (tptp.hAPP @t28 @t28 (tptp.hAPP @t83 @t73 @t290 (tptp.hAPP tptp.bool @t83 tptp.fimplies (tptp.hAPP tptp.bool tptp.bool tptp.fNot @t142))) (tptp.hAPP @t3 @t28 @t288 @t293))))) % 6.61/6.87 (define @t511 () (tptp.hBOOL @t142)) % 6.61/6.87 (define @t512 () (tptp.hAPP @t28 @t3 @t55 @t142)) % 6.61/6.87 (define @t513 () (= @t512 @t271)) % 6.61/6.87 (define @t514 () (tptp.ti @t3 @t245)) % 6.61/6.87 (define @t515 () (forall @t252 (=> @t357 (= @t514 @t271)))) % 6.61/6.87 (define @t516 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t142 @t512))) % 6.61/6.87 (define @t517 () (exists @t252 (and @t357 (forall (@list @t497) (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t142 @t497)) (= (tptp.ti @t3 @t497) @t514)))))) % 6.61/6.87 (define @t518 () (tptp.hAPP @t28 @t3 (tptp.hAPP @t3 @t40 @t71 @t254) @t100)) % 6.61/6.87 (define @t519 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t125 @t373))) % 6.61/6.87 (define @t520 () (tptp.one_one tptp.nat)) % 6.61/6.87 (define @t521 () (=> @t138 (= @t495 (tptp.hAPP tptp.nat tptp.nat @t492 @t520)))) % 6.61/6.87 (define @t522 () (tptp.plus_plus tptp.nat)) % 6.61/6.87 (define @t523 () (tptp.hAPP tptp.nat @t57 @t522 @t520)) % 6.61/6.87 (define @t524 () (tptp.hAPP tptp.nat tptp.nat @t523 @t495)) % 6.61/6.87 (define @t525 () (tptp.fun @t28 @t73)) % 6.61/6.87 (define @t526 () (tptp.finite_comp_fun_idem @t3 @t28)) % 6.61/6.87 (define @t527 () (tptp.fun @t120 @t120)) % 6.61/6.87 (define @t528 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t200) @t169))) % 6.61/6.87 (define @t529 () (tptp.plus_plus @t3)) % 6.61/6.87 (define @t530 () (tptp.hAPP @t3 @t37 @t529 @t254)) % 6.61/6.87 (define @t531 () (tptp.hAPP @t3 @t3 @t530 @t261)) % 6.61/6.87 (define @t532 () (tptp.hAPP @t3 @t37 @t529 @t109)) % 6.61/6.87 (define @t533 () (tptp.hAPP @t3 @t3 @t532 @t261)) % 6.61/6.87 (define @t534 () (@list @t109 @t261 @t254)) % 6.61/6.87 (define @t535 () (tptp.ordere236663937imp_le @t3)) % 6.61/6.87 (define @t536 () (tptp.hAPP @t3 @t37 @t529 @t261)) % 6.61/6.87 (define @t537 () (tptp.hAPP @t3 @t3 @t536 @t254)) % 6.61/6.87 (define @t538 () (tptp.hAPP @t3 @t3 @t536 @t109)) % 6.61/6.87 (define @t539 () (@list @t261 @t109 @t254)) % 6.61/6.87 (define @t540 () (tptp.hAPP @t1 @t14 @t48 @t411)) % 6.61/6.87 (define @t541 () (tptp.hAPP @t1 @t1 @t540 @t408)) % 6.61/6.87 (define @t542 () (tptp.hAPP @t1 @t14 @t48 @t365)) % 6.61/6.87 (define @t543 () (tptp.hAPP @t1 @t1 @t542 @t408)) % 6.61/6.87 (define @t544 () (tptp.hAPP @t1 @t65 @t335 @t543)) % 6.61/6.87 (define @t545 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t544 @t541))) % 6.61/6.87 (define @t546 () (tptp.ordere779506340up_add @t1)) % 6.61/6.87 (define @t547 () (tptp.hAPP @t1 @t14 @t48 @t408)) % 6.61/6.87 (define @t548 () (tptp.hAPP @t1 @t1 @t547 @t411)) % 6.61/6.87 (define @t549 () (tptp.hAPP @t1 @t1 @t547 @t365)) % 6.61/6.87 (define @t550 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t65 @t335 @t549) @t548))) % 6.61/6.87 (define @t551 () (@var "D" $$unsorted)) % 6.61/6.87 (define @t552 () (tptp.hAPP @t1 @t1 @t540 @t551)) % 6.61/6.87 (define @t553 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t409 @t551))) % 6.61/6.87 (define @t554 () (@list @t408 @t551 @t365 @t411)) % 6.61/6.87 (define @t555 () (@list @t365 @t408 @t411)) % 6.61/6.87 (define @t556 () (tptp.ordere236663937imp_le @t1)) % 6.61/6.87 (define @t557 () (tptp.hAPP tptp.nat @t57 @t522 @t152)) % 6.61/6.87 (define @t558 () (tptp.hAPP tptp.nat tptp.nat @t557 @t151)) % 6.61/6.87 (define @t559 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t558)) % 6.61/6.87 (define @t560 () (tptp.hAPP tptp.nat tptp.nat @t557 @t180)) % 6.61/6.87 (define @t561 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t522 @t156) @t151)) % 6.61/6.87 (define @t562 () (tptp.hAPP @t3 @t24 @t116 @t132)) % 6.61/6.87 (define @t563 () (tptp.hAPP @t2 @t2 @t562 @t312)) % 6.61/6.87 (define @t564 () (tptp.hAPP tptp.nat @t57 @t522 @t198)) % 6.61/6.87 (define @t565 () (tptp.hAPP tptp.nat tptp.nat @t564 @t162)) % 6.61/6.87 (define @t566 () (tptp.hAPP tptp.nat @t57 @t522 @t162)) % 6.61/6.87 (define @t567 () (tptp.hAPP tptp.nat tptp.nat @t566 @t169)) % 6.61/6.87 (define @t568 () (tptp.hAPP tptp.nat tptp.nat @t566 @t198)) % 6.61/6.87 (define @t569 () (@list @t162 @t198 @t169)) % 6.61/6.87 (define @t570 () (tptp.hAPP tptp.nat @t57 @t522 @t151)) % 6.61/6.87 (define @t571 () (tptp.hAPP tptp.nat tptp.nat @t570 @t186)) % 6.61/6.87 (define @t572 () (tptp.hAPP tptp.nat @t57 @t522 @t174)) % 6.61/6.87 (define @t573 () (tptp.hAPP tptp.nat @t57 @t522 @t173)) % 6.61/6.87 (define @t574 () (tptp.hAPP tptp.nat tptp.nat @t573 @t397)) % 6.61/6.87 (define @t575 () (tptp.hAPP tptp.nat tptp.nat @t570 @t152)) % 6.61/6.87 (define @t576 () (@list @t411 @t365 @t408)) % 6.61/6.87 (define @t577 () (tptp.hAPP @t1 @t1 @t542 @t411)) % 6.61/6.87 (define @t578 () (@list @t365 @t411 @t408)) % 6.61/6.87 (define @t579 () (forall @t578 (=> (= @t577 @t543) @t413))) % 6.61/6.87 (define @t580 () (tptp.cancel_semigroup_add @t3)) % 6.61/6.87 (define @t581 () (tptp.hAPP tptp.nat @t57 @t153 @t575)) % 6.61/6.87 (define @t582 () (tptp.hAPP tptp.nat @t57 @t522 @t189)) % 6.61/6.87 (define @t583 () (tptp.hAPP tptp.nat tptp.nat @t582 @t186)) % 6.61/6.87 (define @t584 () (tptp.hAPP tptp.nat @t57 @t522 @t186)) % 6.61/6.87 (define @t585 () (tptp.hAPP tptp.nat tptp.nat @t584 @t151)) % 6.61/6.87 (define @t586 () (tptp.hAPP tptp.nat tptp.nat @t584 @t152)) % 6.61/6.87 (define @t587 () (tptp.hAPP tptp.nat tptp.nat @t557 @t186)) % 6.61/6.87 (define @t588 () (tptp.hAPP tptp.nat @t57 @t153 @t587)) % 6.61/6.87 (define @t589 () (@list @t152 @t186 @t151)) % 6.61/6.87 (define @t590 () (@var "K_1" $$unsorted)) % 6.61/6.87 (define @t591 () (tptp.hAPP tptp.nat tptp.nat @t564 @t590)) % 6.61/6.87 (define @t592 () (@list @t590)) % 6.61/6.87 (define @t593 () (tptp.hAPP tptp.nat tptp.nat @t582 @t152)) % 6.61/6.87 (define @t594 () (@list @t152 @t187 @t189)) % 6.61/6.87 (define @t595 () (tptp.hAPP tptp.nat tptp.nat @t557 @t189)) % 6.61/6.87 (define @t596 () (tptp.hAPP tptp.nat @t57 @t522 @t187)) % 6.61/6.87 (define @t597 () (tptp.hAPP tptp.nat tptp.nat @t596 @t186)) % 6.61/6.87 (define @t598 () (tptp.hAPP tptp.nat @t120 @t119 @t597)) % 6.61/6.87 (define @t599 () (tptp.hAPP tptp.nat tptp.nat @t582 @t220)) % 6.61/6.87 (define @t600 () (@list @t186 @t220 @t187 @t189)) % 6.61/6.87 (define @t601 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t587) @t151))) % 6.61/6.87 (define @t602 () (tptp.minus_minus @t1)) % 6.61/6.87 (define @t603 () (tptp.hAPP @t1 @t14 @t602 @t365)) % 6.61/6.87 (define @t604 () (@list @t365 @t411)) % 6.61/6.87 (define @t605 () (tptp.group_add @t1)) % 6.61/6.87 (define @t606 () (tptp.hAPP tptp.nat @t57 @t153 @t189)) % 6.61/6.87 (define @t607 () (tptp.hAPP tptp.nat tptp.nat @t606 @t186)) % 6.61/6.87 (define @t608 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t522 @t607) @t187)) % 6.61/6.87 (define @t609 () (tptp.hAPP tptp.nat tptp.nat @t582 @t187)) % 6.61/6.87 (define @t610 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 @t609) @t186)) % 6.61/6.87 (define @t611 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t217 @t189))) % 6.61/6.87 (define @t612 () (@list @t187 @t186 @t189)) % 6.61/6.87 (define @t613 () (tptp.hAPP tptp.nat tptp.nat @t596 @t607)) % 6.61/6.87 (define @t614 () (tptp.hAPP tptp.nat tptp.nat @t596 @t189)) % 6.61/6.87 (define @t615 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 @t614) @t186)) % 6.61/6.87 (define @t616 () (@var "J_1" $$unsorted)) % 6.61/6.87 (define @t617 () (tptp.hAPP tptp.nat @t57 @t153 @t616)) % 6.61/6.87 (define @t618 () (tptp.hAPP tptp.nat @t120 @t119 @t279)) % 6.61/6.87 (define @t619 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t618 @t616))) % 6.61/6.87 (define @t620 () (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t522 @t279) @t162)) % 6.61/6.87 (define @t621 () (tptp.hAPP tptp.nat tptp.nat @t617 @t162)) % 6.61/6.87 (define @t622 () (= (tptp.hAPP tptp.nat tptp.nat @t570 @t155) @t152)) % 6.61/6.87 (define @t623 () (@var "F2" $$unsorted)) % 6.61/6.87 (define @t624 () (@var "F1" $$unsorted)) % 6.61/6.87 (define @t625 () (tptp.hAPP @t59 @t59 (tptp.hAPP @t3 @t60 @t58 @t624) @t623)) % 6.61/6.87 (define @t626 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t189)) % 6.61/6.87 (define @t627 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t607)) % 6.61/6.87 (define @t628 () (@list @t152 @t186 @t189)) % 6.61/6.87 (define @t629 () (tptp.hAPP tptp.nat @t120 @t119 @t174)) % 6.61/6.87 (define @t630 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t629 @t574))) % 6.61/6.87 (define @t631 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t629 @t173))) % 6.61/6.87 (define @t632 () (@list @t173 @t174 @t397)) % 6.61/6.87 (define @t633 () (tptp.ord_less tptp.nat)) % 6.61/6.87 (define @t634 () (tptp.hAPP tptp.nat @t120 @t633 @t151)) % 6.61/6.87 (define @t635 () (tptp.hAPP tptp.nat @t120 @t633 @t156)) % 6.61/6.87 (define @t636 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t635 @t180))) % 6.61/6.87 (define @t637 () (tptp.hAPP tptp.nat @t120 @t633 @t152)) % 6.61/6.87 (define @t638 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t637 @t151))) % 6.61/6.87 (define @t639 () (tptp.hAPP @t164 @t164 @t163 @t633)) % 6.61/6.87 (define @t640 () (tptp.hAPP tptp.nat @t120 @t633 @t174)) % 6.61/6.87 (define @t641 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t640 @t574))) % 6.61/6.87 (define @t642 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t640 @t173))) % 6.61/6.87 (define @t643 () (tptp.hAPP tptp.nat @t120 @t633 @t187)) % 6.61/6.87 (define @t644 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t643 @t186))) % 6.61/6.87 (define @t645 () (tptp.hAPP tptp.nat @t120 @t633 @t614)) % 6.61/6.87 (define @t646 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t186) @t220))) % 6.61/6.87 (define @t647 () (tptp.hAPP tptp.nat @t120 @t633 @t597)) % 6.61/6.87 (define @t648 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t643 @t189))) % 6.61/6.87 (define @t649 () (tptp.hAPP tptp.nat @t120 @t633 @t198)) % 6.61/6.87 (define @t650 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t649 @t169))) % 6.61/6.87 (define @t651 () (tptp.hAPP @t1 @t65 @t64 @t365)) % 6.61/6.87 (define @t652 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t651 @t411))) % 6.61/6.87 (define @t653 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t65 @t64 @t549) @t548))) % 6.61/6.87 (define @t654 () (tptp.hAPP @t1 @t65 @t64 @t543)) % 6.61/6.87 (define @t655 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t654 @t541))) % 6.61/6.87 (define @t656 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t654 @t552))) % 6.61/6.87 (define @t657 () (tptp.hAPP @t1 @t65 @t64 @t408)) % 6.61/6.87 (define @t658 () (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t657 @t551)) @t656)) % 6.61/6.87 (define @t659 () (tptp.ordere223160158up_add @t1)) % 6.61/6.87 (define @t660 () (tptp.ord_less @t3)) % 6.61/6.87 (define @t661 () (tptp.hAPP @t3 @t28 @t660 @t109)) % 6.61/6.87 (define @t662 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t661 @t254))) % 6.61/6.87 (define @t663 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t635 @t151))) % 6.61/6.87 (define @t664 () (not @t638)) % 6.61/6.87 (define @t665 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t637 @t180))) % 6.61/6.87 (define @t666 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t187)) % 6.61/6.87 (define @t667 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t666) @t186))) % 6.61/6.87 (define @t668 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t189) @t186))) % 6.61/6.87 (define @t669 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t634 @t152))) % 6.61/6.87 (define @t670 () (tptp.hAPP tptp.nat @t120 @t633 @t169)) % 6.61/6.87 (define @t671 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t670 @t200))) % 6.61/6.87 (define @t672 () (= @t671 (= @t169 @t198))) % 6.61/6.87 (define @t673 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t670 @t198))) % 6.61/6.87 (define @t674 () (or @t650 @t219)) % 6.61/6.87 (define @t675 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t649 @t170))) % 6.61/6.87 (define @t676 () (not @t182)) % 6.61/6.87 (define @t677 () (not @t219)) % 6.61/6.87 (define @t678 () (tptp.hAPP @t1 @t65 @t64 @t174)) % 6.61/6.87 (define @t679 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t660 @t293) @t132))) % 6.61/6.87 (define @t680 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t660 @t132) @t293))) % 6.61/6.87 (define @t681 () (not @t424)) % 6.61/6.87 (define @t682 () (tptp.linorder @t3)) % 6.61/6.87 (define @t683 () (not @t680)) % 6.61/6.87 (define @t684 () (tptp.hAPP @t1 @t65 @t64 @t173)) % 6.61/6.87 (define @t685 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t684 @t174))) % 6.61/6.87 (define @t686 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t678 @t173))) % 6.61/6.87 (define @t687 () (= @t683 @t424)) % 6.61/6.87 (define @t688 () (not @t686)) % 6.61/6.87 (define @t689 () (not @t404)) % 6.61/6.87 (define @t690 () (forall @t176 (=> @t689 (=> @t688 @t685)))) % 6.61/6.87 (define @t691 () (tptp.preorder @t3)) % 6.61/6.87 (define @t692 () (tptp.hAPP @t1 @t65 @t64 @t411)) % 6.61/6.87 (define @t693 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t692 @t365))) % 6.61/6.87 (define @t694 () (@list @t411 @t365)) % 6.61/6.87 (define @t695 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t651 @t408))) % 6.61/6.87 (define @t696 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t692 @t408))) % 6.61/6.87 (define @t697 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t657 @t365))) % 6.61/6.87 (define @t698 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t678 @t397))) % 6.61/6.87 (define @t699 () (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t684 @t397)) @t698)) % 6.61/6.87 (define @t700 () (tptp.hAPP @t1 @t65 @t64 @t397)) % 6.61/6.87 (define @t701 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t700 @t174))) % 6.61/6.87 (define @t702 () (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t700 @t173)) @t701)) % 6.61/6.87 (define @t703 () (@var "T_3" $$unsorted)) % 6.61/6.87 (define @t704 () (@var "S" $$unsorted)) % 6.61/6.87 (define @t705 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t142 @t169) @t198))) % 6.61/6.87 (define @t706 () (not @t421)) % 6.61/6.87 (define @t707 () (tptp.hAPP tptp.nat @t120 @t633 @t245)) % 6.61/6.87 (define @t708 () (tptp.hAPP @t120 @t120 @t166 (tptp.hAPP tptp.nat @t120 @t639 @t169))) % 6.61/6.87 (define @t709 () (tptp.image tptp.nat @t3)) % 6.61/6.87 (define @t710 () (tptp.fun @t120 @t28)) % 6.61/6.87 (define @t711 () (tptp.fun tptp.nat @t83)) % 6.61/6.87 (define @t712 () (@list @t187 @t152)) % 6.61/6.87 (define @t713 () (@var "I_2" $$unsorted)) % 6.61/6.87 (define @t714 () (tptp.hAPP tptp.nat @t120 @t633 @t713)) % 6.61/6.87 (define @t715 () (tptp.ord_less @t28)) % 6.61/6.87 (define @t716 () (tptp.hAPP @t28 @t29 @t715 @t100)) % 6.61/6.87 (define @t717 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t716 @t307))) % 6.61/6.87 (define @t718 () (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t715 @t122) @t307)) @t717)) % 6.61/6.87 (define @t719 () (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t716 @t122))) % 6.61/6.87 (define @t720 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t115) @t123))) % 6.61/6.87 (define @t721 () (@var "F_1" $$unsorted)) % 6.61/6.87 (define @t722 () (tptp.hAPP @t3 @t28 @t660 @t236)) % 6.61/6.87 (define @t723 () (forall @t242 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t660 @t241) @t240)))) % 6.61/6.87 (define @t724 () (tptp.one_one @t1)) % 6.61/6.87 (define @t725 () (tptp.linordered_semidom @t1)) % 6.61/6.87 (define @t726 () (@var "B_3" $$unsorted)) % 6.61/6.87 (define @t727 () (@var "J" $$unsorted)) % 6.61/6.87 (define @t728 () (not (forall (@list @t727) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t643 @t727)) (not (= @t186 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t727))))))) % 6.61/6.87 (define @t729 () (@list @t187 @t186)) % 6.61/6.87 (define @t730 () (tptp.hAPP @t2 @t3 @t116 @t261)) % 6.61/6.87 (define @t731 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t660 @t730) @t109))) % 6.61/6.87 (define @t732 () (tptp.hAPP @t2 @t3 @t116 @t497)) % 6.61/6.87 (define @t733 () (tptp.ord_less @t2)) % 6.61/6.87 (define @t734 () (tptp.hAPP @t2 @t21 @t733 @t261)) % 6.61/6.87 (define @t735 () (tptp.hAPP @t2 @t3 @t116 @t254)) % 6.61/6.87 (define @t736 () (@list @t261 @t116 @t254 @t109)) % 6.61/6.87 (define @t737 () (tptp.dense_linorder @t1)) % 6.61/6.87 (define @t738 () (@var "W" $$unsorted)) % 6.61/6.87 (define @t739 () (tptp.hAPP @t2 @t21 @t68 @t261)) % 6.61/6.87 (define @t740 () (tptp.order @t2)) % 6.61/6.87 (define @t741 () (and @t244 @t740)) % 6.61/6.87 (define @t742 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t661 @t730))) % 6.61/6.87 (define @t743 () (@list @t261 @t109 @t116 @t254)) % 6.61/6.87 (define @t744 () (and @t740 @t244)) % 6.61/6.87 (define @t745 () (tptp.hAPP @t3 @t2 @t116 @t109)) % 6.61/6.87 (define @t746 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t734 @t745))) % 6.61/6.87 (define @t747 () (tptp.hAPP @t3 @t2 @t116 @t497)) % 6.61/6.87 (define @t748 () (tptp.hAPP @t3 @t2 @t116 @t254)) % 6.61/6.87 (define @t749 () (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t733 @t745) @t261))) % 6.61/6.87 (define @t750 () (@list @t116 @t261 @t109 @t254)) % 6.61/6.87 (define @t751 () (tptp.hAPP @t21 @t81 (tptp.hAPP @t28 @t82 @t79 @t100) @t122)) % 6.61/6.87 (define @t752 () (tptp.hAPP @t81 tptp.nat (tptp.finite_card @t80) @t751)) % 6.61/6.87 (define @t753 () (= @t752 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t522 @t115) (tptp.hAPP @t21 tptp.nat @t20 @t122)))) % 6.61/6.87 (define @t754 () (@list @t2 @t3 @t122 @t100)) % 6.61/6.87 (define @t755 () (and @t103 @t225)) % 6.61/6.87 (define @t756 () (tptp.hBOOL (tptp.hAPP @t81 tptp.bool (tptp.finite_finite @t80) @t751))) % 6.61/6.87 (define @t757 () (@list @t3 @t2 @t100 @t122)) % 6.61/6.87 (define @t758 () (tptp.zero_zero tptp.nat)) % 6.61/6.87 (define @t759 () (tptp.zero_zero @t1)) % 6.61/6.87 (define @t760 () (tptp.hAPP @t1 @t65 @t64 @t759)) % 6.61/6.87 (define @t761 () (@list @t411 @t408 @t365)) % 6.61/6.87 (define @t762 () (tptp.hAPP @t1 @t65 @t335 @t759)) % 6.61/6.87 (define @t763 () (tptp.zero_neq_one @t1)) % 6.61/6.87 (define @t764 () (tptp.hAPP @t3 @t28 @t237 @t53)) % 6.61/6.87 (define @t765 () (tptp.hAPP @t3 @t3 @t532 @t109)) % 6.61/6.87 (define @t766 () (tptp.linord219039673up_add @t3)) % 6.61/6.87 (define @t767 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t762 @t365))) % 6.61/6.87 (define @t768 () (tptp.ordere216010020id_add @t1)) % 6.61/6.87 (define @t769 () (= @t297 @t53)) % 6.61/6.87 (define @t770 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t414 @t543))) % 6.61/6.87 (define @t771 () (@list @t109 @t254)) % 6.61/6.87 (define @t772 () (tptp.hAPP tptp.nat tptp.nat tptp.suc @t758)) % 6.61/6.87 (define @t773 () (= @t169 @t758)) % 6.61/6.87 (define @t774 () (or (and (= @t198 @t772) @t773) (and (= @t198 @t758) (= @t169 @t772)))) % 6.61/6.87 (define @t775 () (tptp.hAPP tptp.nat tptp.nat @t564 @t169)) % 6.61/6.87 (define @t776 () (= @t155 @t758)) % 6.61/6.87 (define @t777 () (@list @t152)) % 6.61/6.87 (define @t778 () (= @t453 @t53)) % 6.61/6.87 (define @t779 () (@var "Nat_1" $$unsorted)) % 6.61/6.87 (define @t780 () (@var "Nat" $$unsorted)) % 6.61/6.87 (define @t781 () (forall @t368 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t48 @t759) @t365) @t366))) % 6.61/6.87 (define @t782 () (tptp.comm_monoid_add @t1)) % 6.61/6.87 (define @t783 () (forall @t368 (= (tptp.hAPP @t1 @t1 @t542 @t759) @t366))) % 6.61/6.87 (define @t784 () (@var "T_1" $$unsorted)) % 6.61/6.87 (define @t785 () (@var "T_2" $$unsorted)) % 6.61/6.87 (define @t786 () (tptp.fun @t785 @t784)) % 6.61/6.87 (define @t787 () (@list @t785 @t784)) % 6.61/6.87 (define @t788 () (and (tptp.finite_finite_1 @t784) (tptp.finite_finite_1 @t785))) % 6.61/6.87 (define @t789 () (@var "A" $$unsorted)) % 6.61/6.87 (define @t790 () (@var "T" $$unsorted)) % 6.61/6.87 (define @t791 () (tptp.ti @t790 @t789)) % 6.61/6.87 (define @t792 () (@var "P" $$unsorted)) % 6.61/6.87 (define @t793 () (tptp.hBOOL @t792)) % 6.61/6.87 (define @t794 () (not @t793)) % 6.61/6.87 (define @t795 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool tptp.fNot @t792))) % 6.61/6.87 (define @t796 () (@list @t792)) % 6.61/6.87 (define @t797 () (@var "R" $$unsorted)) % 6.61/6.87 (define @t798 () (@var "Q" $$unsorted)) % 6.61/6.87 (define @t799 () (tptp.hAPP @t1 @t3 @t798 @t797)) % 6.61/6.87 (define @t800 () (@list @t1 @t2 @t3 @t792 @t798 @t797)) % 6.61/6.87 (define @t801 () (tptp.hAPP @t1 @t8 @t792 @t797)) % 6.61/6.87 (define @t802 () (tptp.ti @t1 @t792)) % 6.61/6.87 (define @t803 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t83 tptp.fconj @t792) @t798))) % 6.61/6.87 (define @t804 () (tptp.hBOOL @t798)) % 6.61/6.87 (define @t805 () (not @t804)) % 6.61/6.87 (define @t806 () (@list @t798 @t792)) % 6.61/6.87 (define @t807 () (not @t803)) % 6.61/6.87 (define @t808 () (@list @t792 @t798)) % 6.61/6.87 (define @t809 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t83 tptp.fdisj @t792) @t798))) % 6.61/6.87 (define @t810 () (tptp.ti tptp.bool @t792)) % 6.61/6.87 (define @t811 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t65 @t85 @t174) @t173))) % 6.61/6.87 (define @t812 () (@list @t1 @t174 @t173)) % 6.61/6.87 (define @t813 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t83 tptp.fimplies @t792) @t798))) % 6.61/6.87 (define @t814 () (tptp.hAPP @t94 @t92 (tptp.hAPP @t95 (tptp.fun @t94 @t92) (tptp.image tptp.pname tptp.x_a) tptp.mgt_call) tptp.u)) % 6.61/6.87 (define @t815 () (tptp.hBOOL (tptp.hAPP @t92 tptp.bool (tptp.hAPP @t92 @t93 @t99 tptp.g) @t814))) % 6.61/6.87 (define @t816 () (tptp.finite_card tptp.x_a)) % 6.61/6.87 (define @t817 () (tptp.hAPP @t92 tptp.nat @t816 @t814)) % 6.61/6.87 (define @t818 () (tptp.hAPP tptp.nat tptp.nat tptp.suc tptp.na)) % 6.61/6.87 (define @t819 () (tptp.hBOOL (tptp.hAPP @t94 tptp.bool (tptp.hAPP tptp.pname @t347 @t346 tptp.pn) tptp.u))) % 6.61/6.87 (define @t820 () (tptp.hAPP tptp.pname tptp.x_a tptp.mgt_call tptp.pn)) % 6.61/6.87 (define @t821 () (tptp.hAPP tptp.x_a @t93 (tptp.member tptp.x_a) @t820)) % 6.61/6.87 (define @t822 () (tptp.hBOOL (tptp.hAPP @t92 tptp.bool (tptp.hAPP @t92 @t93 @t99 (tptp.hAPP @t92 @t92 (tptp.hAPP tptp.x_a @t345 @t344 @t820) tptp.g)) @t814))) % 6.61/6.87 (define @t823 () (tptp.hBOOL (tptp.hAPP @t92 tptp.bool @t821 @t814))) % 6.61/6.87 (define @t824 () (and @t823 @t815)) % 6.61/6.87 (define @t825 () (= @t822 @t824)) % 6.61/6.87 (define @t826 () (not @t824)) % 6.61/6.87 (define @t827 () (@list true false)) % 6.61/6.87 (define @t828 () (not @t823)) % 6.61/6.87 (define @t829 () (@list false true)) % 6.61/6.87 (define @t830 () (not @t819)) % 6.61/6.87 (define @t831 () (or @t830 @t823)) % 6.61/6.87 (define @t832 () (not @t831)) % 6.61/6.87 (define @t833 () (forall @t317 (or @t139 @t316))) % 6.61/6.87 (assume @p1 (forall (@list @t3 @t2 @t1) (= (tptp.ti (tptp.fun @t8 @t7) @t4) @t4))) % 6.61/6.87 (assume @p2 (forall @t12 (= (tptp.ti (tptp.fun @t11 @t10) @t9) @t9))) % 6.61/6.87 (assume @p3 (forall @t15 (= (tptp.ti @t14 @t13) @t13))) % 6.61/6.87 (assume @p4 (forall (@list @t1 @t3) (= (tptp.ti (tptp.fun @t1 @t17) @t16) @t16))) % 6.61/6.87 (assume @p5 (forall @t12 (= (tptp.ti (tptp.fun @t11 @t7) @t18) @t18))) % 6.61/6.87 (assume @p6 (= (tptp.ti (tptp.fun tptp.pname @t19) tptp.body) tptp.body)) % 6.61/6.87 (assume @p7 (forall @t22 (= (tptp.ti (tptp.fun @t21 tptp.nat) @t20) @t20))) % 6.61/6.87 (assume @p8 (forall @t26 (= (tptp.ti (tptp.fun @t25 tptp.bool) @t23) @t23))) % 6.61/6.87 (assume @p9 (forall @t30 (= (tptp.ti @t29 @t27) @t27))) % 6.61/6.87 (assume @p10 (forall @t26 (= (tptp.ti (tptp.fun @t38 @t36) @t31) @t31))) % 6.61/6.87 (assume @p11 (forall @t30 (= (tptp.ti @t42 @t39) @t39))) % 6.61/6.87 (assume @p12 (forall @t30 (= (tptp.ti @t42 @t43) @t43))) % 6.61/6.87 (assume @p13 (forall @t22 (=> @t45 (= (tptp.ti (tptp.fun @t2 @t24) @t44) @t44)))) % 6.61/6.87 (assume @p14 (forall @t30 (=> @t47 (= (tptp.ti @t3 @t46) @t46)))) % 6.61/6.87 (assume @p15 (forall @t15 (=> @t50 @t49))) % 6.61/6.87 (assume @p16 (forall @t15 (=> @t51 @t49))) % 6.61/6.87 (assume @p17 (forall @t15 (=> @t52 @t49))) % 6.61/6.87 (assume @p18 (forall @t30 (=> @t54 (= (tptp.ti @t3 @t53) @t53)))) % 6.61/6.87 (assume @p19 (forall @t30 (= (tptp.ti @t40 @t55) @t55))) % 6.61/6.87 (assume @p20 (forall @t15 (= (tptp.ti @t1 @t56) @t56))) % 6.61/6.87 (assume @p21 (= (tptp.ti @t57 tptp.suc) tptp.suc)) % 6.61/6.87 (assume @p22 (forall @t30 (= (tptp.ti (tptp.fun @t3 @t60) @t58) @t58))) % 6.61/6.87 (assume @p23 (= (tptp.ti (tptp.fun @t19 tptp.com) @t61) @t61)) % 6.61/6.87 (assume @p24 (forall @t22 (=> @t63 (= (tptp.ti @t2 @t62) @t62)))) % 6.61/6.87 (assume @p25 (forall @t15 (=> @t67 (= (tptp.ti @t66 @t64) @t64)))) % 6.61/6.87 (assume @p26 (forall @t22 (=> @t70 (= (tptp.ti @t69 @t68) @t68)))) % 6.61/6.87 (assume @p27 (forall @t30 (= (tptp.ti (tptp.fun @t3 @t40) @t71) @t71))) % 6.61/6.87 (assume @p28 (forall @t30 (= (tptp.ti @t73 @t72) @t72))) % 6.61/6.87 (assume @p29 (forall @t26 (= (tptp.ti (tptp.fun @t8 @t75) @t74) @t74))) % 6.61/6.87 (assume @p30 (forall @t30 (= (tptp.ti @t77 @t76) @t76))) % 6.61/6.87 (assume @p31 (forall @t30 (= (tptp.ti @t40 @t78) @t78))) % 6.61/6.87 (assume @p32 (forall @t26 (= (tptp.ti (tptp.fun @t28 @t82) @t79) @t79))) % 6.61/6.87 (assume @p33 (= (tptp.ti tptp.bool tptp.fFalse) tptp.fFalse)) % 6.61/6.87 (assume @p34 (= (tptp.ti @t83 tptp.fNot) tptp.fNot)) % 6.61/6.87 (assume @p35 (= (tptp.ti tptp.bool tptp.fTrue) tptp.fTrue)) % 6.61/6.87 (assume @p36 (= (tptp.ti @t84 tptp.fconj) tptp.fconj)) % 6.61/6.87 (assume @p37 (= (tptp.ti @t84 tptp.fdisj) tptp.fdisj)) % 6.61/6.87 (assume @p38 (forall @t15 (= (tptp.ti @t66 @t85) @t85))) % 6.61/6.87 (assume @p39 (= (tptp.ti @t84 tptp.fimplies) tptp.fimplies)) % 6.61/6.87 (assume @p40 (forall @t89 (= (tptp.hAPP @t1 @t2 (tptp.ti @t5 @t87) @t86) @t88))) % 6.61/6.87 (assume @p41 (forall @t89 (= (tptp.hAPP @t1 @t2 @t87 (tptp.ti @t1 @t86)) @t88))) % 6.61/6.87 (assume @p42 (forall (@list @t2 @t1 @t87 @t86) (= (tptp.ti @t2 @t88) @t88))) % 6.61/6.87 (assume @p43 (forall (@list @t87) (= (tptp.hBOOL (tptp.ti tptp.bool @t87)) (tptp.hBOOL @t87)))) % 6.61/6.87 (assume @p44 (forall @t30 (= (tptp.ti @t91 @t90) @t90))) % 6.61/6.87 (assume @p45 (= (tptp.ti @t92 tptp.g) tptp.g)) % 6.61/6.87 (assume @p46 (= (tptp.ti (tptp.fun @t92 @t93) tptp.p) tptp.p)) % 6.61/6.87 (assume @p47 (= (tptp.ti @t94 tptp.u) tptp.u)) % 6.61/6.87 (assume @p48 (= (tptp.ti (tptp.fun tptp.com tptp.x_a) tptp.mgt) tptp.mgt)) % 6.61/6.87 (assume @p49 (= (tptp.ti @t95 tptp.mgt_call) tptp.mgt_call)) % 6.61/6.87 (assume @p50 (= (tptp.ti tptp.nat tptp.na) tptp.na)) % 6.61/6.87 (assume @p51 (= (tptp.ti tptp.pname tptp.pn) tptp.pn)) % 6.61/6.87 (assume @p52 (= (tptp.ti (tptp.fun tptp.com tptp.bool) tptp.wt) tptp.wt)) % 6.61/6.87 (assume @p53 (forall (@list @t96 @t97) (=> (tptp.hBOOL (tptp.hAPP @t92 tptp.bool (tptp.hAPP @t92 @t93 @t99 @t96) @t97)) (tptp.hBOOL (tptp.hAPP @t92 tptp.bool @t98 @t96))))) % 6.61/6.87 (assume @p54 (forall @t104 (=> @t103 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.finite_finite @t28) (tptp.hAPP @t29 @t29 (tptp.collect @t28) (tptp.hAPP @t28 @t29 (tptp.hAPP @t102 @t102 (tptp.combc @t28 @t28 tptp.bool) @t101) @t100))))))) % 6.61/6.87 (assume @p55 (forall (@list @t2 @t3 @t106 @t105) (=> @t108 (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t107 (tptp.hAPP @t28 @t21 (tptp.hAPP @t8 @t75 @t74 @t106) @t105)))))) % 6.61/6.87 (assume @p56 (forall @t113 (=> @t103 @t112))) % 6.61/6.87 (assume @p57 (forall @t121 (=> @t103 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 (tptp.hAPP @t21 tptp.nat @t20 @t118)) @t115))))) % 6.61/6.87 (assume @p58 (forall @t128 (=> @t127 (=> @t126 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t124 @t123)))))) % 6.61/6.87 (assume @p59 (forall @t128 (=> @t127 (=> @t126 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t123) @t115)) @t131))))) % 6.61/6.87 (assume @p60 (forall @t136 (=> @t103 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t124 @t135))))) % 6.61/6.87 (assume @p61 (forall @t136 (=> @t103 (and (=> @t138 (= @t135 @t115)) @t140)))) % 6.61/6.87 (assume @p62 (forall @t136 (=> @t103 @t140))) % 6.61/6.87 (assume @p63 (forall (@list @t3 @t141 @t142) (=> (or @t150 @t148) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 (tptp.hAPP @t28 @t28 @t72 (tptp.hAPP @t28 @t28 (tptp.hAPP @t144 @t73 @t147 (tptp.hAPP @t28 @t144 @t146 @t142)) @t141))))))) % 6.61/6.87 (assume @p64 (forall @t161 (=> @t160 (= @t158 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t155))))) % 6.61/6.87 (assume @p65 (forall @t168 (tptp.hBOOL (tptp.hAPP @t120 tptp.bool @t167 (tptp.hAPP @t120 @t120 @t166 (tptp.hAPP tptp.nat @t120 @t165 @t162)))))) % 6.61/6.87 (assume @p66 (forall @t172 (= (tptp.hAPP @t120 tptp.nat @t171 (tptp.hAPP @t120 @t120 @t166 (tptp.hAPP tptp.nat @t120 @t165 @t169))) @t170))) % 6.61/6.87 (assume @p67 (forall @t30 (=> (tptp.finite_finite_1 @t3) (forall (@list @t100) @t103)))) % 6.61/6.87 (assume @p68 (forall @t176 (=> (= (tptp.hAPP tptp.nat tptp.nat tptp.suc @t174) (tptp.hAPP tptp.nat tptp.nat tptp.suc @t173)) @t175))) % 6.61/6.87 (assume @p69 (forall (@list @t178 @t177) (= (= @t179 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t177)) (= @t178 @t177)))) % 6.61/6.87 (assume @p70 (forall @t181 (not (= @t180 @t151)))) % 6.61/6.87 (assume @p71 (forall @t181 (not (= @t151 @t180)))) % 6.61/6.87 (assume @p72 (forall @t185 (=> @t184 (=> @t160 @t182)))) % 6.61/6.87 (assume @p73 (forall @t191 (=> @t190 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t189) @t186)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t188 @t186)))))) % 6.61/6.87 (assume @p74 (forall @t185 (=> @t182 @t184))) % 6.61/6.87 (assume @p75 (forall @t185 (or @t184 @t160))) % 6.61/6.87 (assume @p76 (forall @t181 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t159 @t151)))) % 6.61/6.87 (assume @p77 (forall @t194 (= @t193 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 (tptp.hAPP tptp.nat tptp.nat @t192 @t186)) @t189)))) % 6.61/6.87 (assume @p78 (forall (@list @t3 @t142 @t141) (= (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 (tptp.hAPP @t28 @t28 @t72 (tptp.hAPP @t28 @t28 (tptp.hAPP @t144 @t73 @t147 (tptp.hAPP @t28 @t144 @t195 @t142)) @t141)))) (and @t150 @t148)))) % 6.61/6.87 (assume @p79 (forall @t113 (= @t112 @t103))) % 6.61/6.87 (assume @p80 (forall @t128 (=> @t126 (=> @t127 @t103)))) % 6.61/6.87 (assume @p81 (forall @t128 (=> @t127 (=> @t126 @t103)))) % 6.61/6.87 (assume @p82 (forall @t185 (=> @t196 @t184))) % 6.61/6.87 (assume @p83 (forall @t185 (=> @t197 (=> (not @t184) (= @t152 @t180))))) % 6.61/6.87 (assume @p84 (forall @t185 (=> @t184 @t197))) % 6.61/6.87 (assume @p85 (forall @t202 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t201 @t200)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t199 @t198))))) % 6.61/6.87 (assume @p86 (forall @t205 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t203 @t170)) (or @t204 (= @t198 @t170))))) % 6.61/6.87 (assume @p87 (forall @t205 (= (not @t204) @t206))) % 6.61/6.87 (assume @p88 (forall @t181 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t207 @t151))))) % 6.61/6.87 (assume @p89 (forall @t208 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 @t158) (tptp.hAPP tptp.nat tptp.nat tptp.suc @t186)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 @t155) @t186)))) % 6.61/6.87 (assume @p90 (forall @t185 (= (tptp.hAPP tptp.nat tptp.nat @t157 @t180) @t155))) % 6.61/6.87 (assume @p91 (forall @t215 (=> @t214 (=> @t213 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t211) @t209)) @t204))))) % 6.61/6.87 (assume @p92 (forall (@list @t151 @t186 @t152) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t217 @t152)) (=> @t218 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 (tptp.hAPP tptp.nat tptp.nat @t154 @t186)) (tptp.hAPP tptp.nat tptp.nat @t216 @t186)) @t155))))) % 6.61/6.87 (assume @p93 (forall @t215 (=> @t214 (=> @t213 (= (= @t211 @t209) @t219))))) % 6.61/6.87 (assume @p94 (forall (@list @t187 @t151) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t188 @t151)) (= (tptp.hAPP tptp.nat tptp.nat @t216 (tptp.hAPP tptp.nat tptp.nat @t216 @t187)) @t187)))) % 6.61/6.87 (assume @p95 (forall @t221 (=> @t184 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 (tptp.hAPP tptp.nat tptp.nat @t154 @t220)) (tptp.hAPP tptp.nat tptp.nat @t216 @t220)))))) % 6.61/6.87 (assume @p96 (forall @t221 (=> @t184 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t224) @t223))))) % 6.61/6.87 (assume @p97 (forall @t185 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t155) @t152)))) % 6.61/6.87 (assume @p98 (forall (@list @t2 @t3 @t122 @t116 @t100) (=> @t103 (=> (tptp.hBOOL (tptp.hAPP @t21 tptp.bool (tptp.hAPP @t21 @t227 @t226 @t122) @t118)) @t225)))) % 6.61/6.87 (assume @p99 (forall @t233 (=> @t127 (=> @t232 (exists (@list @t228) (and (tptp.hBOOL (tptp.hAPP @t21 tptp.bool (tptp.hAPP @t21 @t227 @t226 @t228) @t100)) (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t107 @t228)) (= @t129 (tptp.hAPP @t21 @t28 @t229 @t228)))))))) % 6.61/6.87 (assume @p100 (forall @t30 (=> @t244 (forall @t243 (=> (forall @t242 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t237 @t241) @t240))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t199 @t234)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t237 @t236) @t235)))))))) % 6.61/6.87 (assume @p101 (forall @t121 (=> @t253 (=> (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t107 @t118)) (exists @t252 (and @t251 (not (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 (tptp.hAPP @t28 @t28 @t72 (tptp.hAPP @t28 @t28 @t249 (tptp.hAPP @t2 @t28 (tptp.hAPP @t247 (tptp.fun @t2 @t28) (tptp.combc @t3 @t2 tptp.bool) (tptp.hAPP @t8 @t247 (tptp.hAPP @t69 (tptp.fun @t8 @t247) (tptp.combb @t2 @t21 @t3) (tptp.fequal @t2)) @t116)) @t246)))))))))))) % 6.61/6.87 (assume @p102 (forall (@list @t3 @t2 @t100 @t254 @t116 @t132) (=> (= @t259 (tptp.hAPP @t2 @t3 @t116 @t132)) (=> @t258 @t256)))) % 6.61/6.87 (assume @p103 (forall @t128 (=> @t126 (=> @t260 @t131)))) % 6.61/6.87 (assume @p104 (forall @t266 (=> @t126 @t265))) % 6.61/6.87 (assume @p105 (forall @t275 (=> (=> @t274 @t272) @t270))) % 6.61/6.87 (assume @p106 (forall @t278 (=> @t277 (=> (not @t272) @t276)))) % 6.61/6.87 (assume @p107 (forall (@list @t279 @t142 @t162) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 @t162)) (=> (forall @t242 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 @t239)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 @t238)))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 @t162) @t279))))))) % 6.61/6.87 (assume @p108 (forall (@list @t151 @t281) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t207 @t281)) (exists @t282 (= @t281 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t280)))))) % 6.61/6.87 (assume @p109 (forall @t284 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t269 @t283)))) % 6.61/6.87 (assume @p110 (forall @t284 (= @t283 (tptp.hAPP @t28 @t28 @t72 (tptp.hAPP @t28 @t28 (tptp.hAPP @t144 @t73 @t147 (tptp.hAPP @t28 @t144 @t195 @t289)) @t285))))) % 6.61/6.87 (assume @p111 (forall @t292 (= (tptp.hAPP @t28 @t28 @t110 @t149) (tptp.hAPP @t28 @t28 @t72 (tptp.hAPP @t28 @t28 (tptp.hAPP @t144 @t73 @t147 (tptp.hAPP @t28 @t144 (tptp.hAPP @t84 @t145 @t143 tptp.fimplies) (tptp.hAPP @t28 @t28 @t291 @t289))) @t142))))) % 6.61/6.87 (assume @p112 (forall @t136 (= (tptp.hAPP @t28 @t28 @t133 @t134) @t134))) % 6.61/6.87 (assume @p113 (forall (@list @t3 @t132 @t293 @t100) (= (tptp.hAPP @t28 @t28 @t133 @t295) (tptp.hAPP @t28 @t28 @t294 @t134)))) % 6.61/6.87 (assume @p114 (forall @t278 (= @t277 (or @t272 @t276)))) % 6.61/6.87 (assume @p115 (forall (@list @t3 @t293 @t100 @t132) (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t295 @t132)) (or (= @t298 @t297) @t296)))) % 6.61/6.87 (assume @p116 (forall @t302 (=> @t139 (=> @t301 (= (= @t134 @t299) @t131))))) % 6.61/6.87 (assume @p117 (forall @t275 (=> @t273 @t270))) % 6.61/6.87 (assume @p118 (forall @t113 (=> @t276 (= @t111 @t130)))) % 6.61/6.87 (assume @p119 (forall @t104 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t125 @t100)))) % 6.61/6.87 (assume @p120 (forall @t128 (= @t131 (and @t126 @t260)))) % 6.61/6.87 (assume @p121 (forall @t128 (=> @t131 @t126))) % 6.61/6.87 (assume @p122 (forall @t128 (=> @t131 @t260))) % 6.61/6.87 (assume @p123 (forall @t303 (=> @t126 (=> @t138 @t300)))) % 6.61/6.87 (assume @p124 (forall @t302 (=> @t138 (=> @t126 @t300)))) % 6.61/6.87 (assume @p125 (forall (@list @t3 @t2 @t116 @t304) (=> (forall @t252 (= @t246 @t305)) (= (tptp.ti @t8 @t116) (tptp.ti @t8 @t304))))) % 6.61/6.87 (assume @p126 (forall @t136 (= @t138 @t296))) % 6.61/6.87 (assume @p127 (forall @t306 (= @t149 (tptp.ti @t28 @t142)))) % 6.61/6.87 (assume @p128 (forall @t310 (=> @t126 (=> @t309 @t308)))) % 6.61/6.87 (assume @p129 (forall @t128 (=> @t131 (not (=> @t126 (not @t260)))))) % 6.61/6.87 (assume @p130 (forall (@list @t3 @t2 @t312 @t116 @t100) (= (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t3 @t29 @t90 @t312) @t230)) (exists @t252 (and @t314 (= @t313 @t311)))))) % 6.61/6.87 (assume @p131 @t318) % 6.61/6.87 (assume @p132 (forall (@list @t2 @t3 @t254 @t116 @t132 @t100) (=> @t138 (=> (= (tptp.ti @t2 @t254) @t315) (tptp.hBOOL (tptp.hAPP @t21 tptp.bool (tptp.hAPP @t2 @t227 @t257 @t254) @t118)))))) % 6.61/6.87 (assume @p133 (forall (@list @t3 @t245 @t319) (= (tptp.hAPP @t28 @t28 @t320 @t319) (tptp.hAPP @t28 @t28 @t72 (tptp.hAPP @t28 @t28 (tptp.hAPP @t144 @t73 @t147 (tptp.hAPP @t28 @t144 @t195 (tptp.hAPP @t3 @t28 @t288 @t245))) (tptp.hAPP @t28 @t28 @t248 @t319)))))) % 6.61/6.87 (assume @p134 (forall (@list @t2 @t3 @t321 @t116 @t304 @t100) (= (tptp.hAPP @t21 @t28 @t229 (tptp.hAPP @t324 @t21 (tptp.hAPP @t323 (tptp.fun @t324 @t21) (tptp.image @t321 @t2) @t304) @t100)) (tptp.hAPP @t324 @t28 (tptp.hAPP @t322 (tptp.fun @t324 @t28) (tptp.image @t321 @t3) (tptp.hAPP @t323 @t322 (tptp.hAPP @t34 (tptp.fun @t323 @t322) (tptp.combb @t2 @t3 @t321) @t116) @t304)) @t100)))) % 6.61/6.87 (assume @p135 (forall (@list @t3 @t325) (= (tptp.hAPP @t28 @t28 (tptp.hAPP @t37 @t73 @t326 (tptp.combi @t3)) @t325) (tptp.ti @t28 @t325)))) % 6.61/6.87 (assume @p136 (forall (@list @t3 @t122 @t109) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t231 @t283)))) % 6.61/6.87 (assume @p137 (forall @t303 (= (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t101 @t134) @t122)) (and @t300 @t126)))) % 6.61/6.87 (assume @p138 (forall @t302 (=> @t139 (= @t327 @t126)))) % 6.61/6.87 (assume @p139 (forall (@list @t3 @t254 @t100 @t122) (=> @t126 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t125 @t268))))) % 6.61/6.87 (assume @p140 (forall (@list @t3 @t109 @t307 @t328) (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t101 @t307) @t328)) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t101 (tptp.hAPP @t28 @t28 @t110 @t307)) (tptp.hAPP @t28 @t28 @t110 @t328)))))) % 6.61/6.87 (assume @p141 (forall (@list @t2 @t3 @t116 @t109 @t122) (= (tptp.hAPP @t21 @t28 @t229 (tptp.hAPP @t21 @t21 (tptp.hAPP @t2 @t331 @t330 @t109) @t122)) (tptp.hAPP @t28 @t28 (tptp.hAPP @t3 @t73 @t76 (tptp.hAPP @t2 @t3 @t116 @t109)) @t329)))) % 6.61/6.87 (assume @p142 (forall @t317 (=> @t138 (= (tptp.hAPP @t21 @t21 (tptp.hAPP @t2 @t331 @t330 @t315) @t118) @t118)))) % 6.61/6.87 (assume @p143 (forall (@list @t3 @t2 @t122 @t116 @t100) (= @t232 (exists (@list @t332) (and (tptp.hBOOL (tptp.hAPP @t21 tptp.bool (tptp.hAPP @t21 @t227 @t226 @t332) @t100)) (= @t129 (tptp.hAPP @t21 @t28 @t229 @t332))))))) % 6.61/6.87 (assume @p144 (forall @t233 (=> @t126 (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t333 (tptp.hAPP @t28 @t21 @t117 @t122)))))) % 6.61/6.87 (assume @p145 (forall (@list @t3 @t2 @t254 @t116 @t100) (=> @t256 (not (forall @t252 (=> (= @t259 @t311) (not @t314))))))) % 6.61/6.87 (assume @p146 (forall @t334 (=> (forall @t252 (=> @t251 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t250 @t122)))) @t126))) % 6.61/6.87 (assume @p147 (forall (@list @t2 @t3 @t116 @t122 @t100) (=> (forall @t252 (=> @t251 (tptp.hBOOL (tptp.hAPP @t21 tptp.bool (tptp.hAPP @t2 @t227 @t257 @t246) @t122)))) (tptp.hBOOL (tptp.hAPP @t21 tptp.bool @t333 @t122))))) % 6.61/6.87 (assume @p148 (forall @t15 (=> @t338 (forall @t337 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t336 @t174)))))) % 6.61/6.87 (assume @p149 (forall @t342 (= @t341 (exists @t282 (forall @t252 (=> @t340 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t245) @t280)))))))) % 6.61/6.87 (assume @p150 (forall (@list @t97 @t261) (=> (tptp.hBOOL (tptp.hAPP tptp.com tptp.bool tptp.wt @t261)) (=> (forall @t252 (=> (tptp.hBOOL (tptp.hAPP @t94 tptp.bool (tptp.hAPP tptp.pname @t347 @t346 @t245) tptp.u)) (tptp.hBOOL (tptp.hAPP @t92 tptp.bool @t98 (tptp.hAPP @t92 @t92 (tptp.hAPP tptp.x_a @t345 @t344 (tptp.hAPP tptp.pname tptp.x_a tptp.mgt_call @t245)) @t343))))) (tptp.hBOOL (tptp.hAPP @t92 tptp.bool @t98 (tptp.hAPP @t92 @t92 (tptp.hAPP tptp.x_a @t345 @t344 (tptp.hAPP tptp.com tptp.x_a tptp.mgt @t261)) @t343))))))) % 6.61/6.87 (assume @p151 (forall @t26 (=> @t70 (forall @t353 (= @t352 @t349))))) % 6.61/6.87 (assume @p152 (forall @t26 (=> @t70 (forall (@list @t132 @t116 @t304) (=> @t352 (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t68 @t315) (tptp.hAPP @t3 @t2 @t304 @t132)))))))) % 6.61/6.87 (assume @p153 (forall @t355 (not (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t269 @t354))))) % 6.61/6.87 (assume @p154 (forall @t30 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t354)))) % 6.61/6.87 (assume @p155 (forall @t104 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t101 @t354) @t100)))) % 6.61/6.87 (assume @p156 (forall @t113 (=> @t356 (not @t276)))) % 6.61/6.87 (assume @p157 (forall @t306 (= (= @t149 @t354) @t358))) % 6.61/6.87 (assume @p158 (forall (@list @t3 @t261) (not (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t262 @t354))))) % 6.61/6.87 (assume @p159 (forall @t306 (= (= @t354 @t149) @t358))) % 6.61/6.87 (assume @p160 (forall @t104 (= (exists @t252 @t251) @t359))) % 6.61/6.87 (assume @p161 (forall @t104 (= (forall @t252 (not @t251)) @t356))) % 6.61/6.87 (assume @p162 (forall @t30 (= @t354 (tptp.hAPP @t28 @t28 @t72 (tptp.hAPP tptp.bool @t28 (tptp.combk tptp.bool @t3) tptp.fFalse))))) % 6.61/6.87 (assume @p163 (forall @t26 (=> @t63 (forall @t252 (= (tptp.hAPP @t3 @t2 (tptp.bot_bot @t8) @t245) @t62))))) % 6.61/6.87 (assume @p164 (forall @t363 (=> @t362 (forall @t361 (= (tptp.hAPP @t2 @t3 (tptp.bot_bot @t34) @t132) @t360))))) % 6.61/6.87 (assume @p165 (forall @t15 (=> @t369 (forall @t368 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t367 @t364)) (= @t366 @t364)))))) % 6.61/6.87 (assume @p166 (forall @t30 (=> @t362 (forall @t372 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t371 @t360)) @t370))))) % 6.61/6.87 (assume @p167 (forall @t15 (=> @t369 (forall @t368 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t65 @t335 @t364) @t365)))))) % 6.61/6.87 (assume @p168 (forall (@list @t3 @t109 @t254) (=> (= @t374 @t373) @t272))) % 6.61/6.87 (assume @p169 (forall @t377 (=> @t376 @t375))) % 6.61/6.87 (assume @p170 (forall (@list @t3 @t109 @t254 @t261 @t380) (= (= (tptp.hAPP @t28 @t28 @t110 @t373) (tptp.hAPP @t28 @t28 (tptp.hAPP @t3 @t73 @t76 @t261) (tptp.hAPP @t28 @t28 (tptp.hAPP @t3 @t73 @t76 @t380) @t354))) (or (and (= @t271 @t378) (= @t259 @t381)) (and (= @t271 @t381) @t379))))) % 6.61/6.87 (assume @p171 (forall @t377 (= @t376 @t375))) % 6.61/6.87 (assume @p172 (forall @t113 (not (= @t111 @t354)))) % 6.61/6.87 (assume @p173 (forall @t113 (not (= @t354 @t111)))) % 6.61/6.87 (assume @p174 (forall @t104 (= (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t125 @t354)) @t356))) % 6.61/6.87 (assume @p175 (forall @t121 (= (= @t230 @t354) @t383))) % 6.61/6.87 (assume @p176 (forall (@list @t2 @t3 @t116) (= (tptp.hAPP @t21 @t28 @t229 @t382) @t354))) % 6.61/6.87 (assume @p177 (forall (@list @t3 @t2 @t116 @t100) (= (= @t354 @t230) @t383))) % 6.61/6.87 (assume @p178 (forall @t387 (and (=> @t385 (= @t384 @t374)) (=> @t386 (= @t384 @t354))))) % 6.61/6.87 (assume @p179 (forall @t387 (and (=> @t385 (= @t389 @t374)) (=> @t386 (= @t389 @t354))))) % 6.61/6.87 (assume @p180 (forall @t355 (= (tptp.hAPP @t28 @t28 @t72 @t289) @t374))) % 6.61/6.87 (assume @p181 (forall @t355 (= (tptp.hAPP @t28 @t28 @t72 @t388) @t374))) % 6.61/6.87 (assume @p182 (forall (@list @t3 @t100 @t132) (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t125 @t390)) (or @t356 (= @t130 @t390))))) % 6.61/6.87 (assume @p183 (forall (@list @t2 @t3 @t261 @t132 @t100) (=> @t138 @t392))) % 6.61/6.87 (assume @p184 (forall (@list @t2 @t3 @t261 @t100) (and (=> @t356 (= @t391 @t382)) (=> @t359 @t392)))) % 6.61/6.87 (assume @p185 (forall @t15 (=> @t396 (forall @t176 (=> (not @t395) @t394))))) % 6.61/6.87 (assume @p186 (forall @t15 (=> @t401 (forall @t400 (=> @t394 (=> @t399 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t398 @t174)))))))) % 6.61/6.87 (assume @p187 (forall @t15 (=> @t401 (forall @t405 (=> @t394 (=> @t395 @t404)))))) % 6.61/6.87 (assume @p188 (forall @t15 (=> @t338 (forall @t407 (=> @t395 (=> @t406 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t336 @t397)))))))) % 6.61/6.87 (assume @p189 (forall @t15 (=> @t401 (forall @t176 (=> @t395 (=> @t394 @t404)))))) % 6.61/6.87 (assume @p190 (forall @t15 (=> @t401 (forall @t416 (=> @t415 (=> @t413 @t410)))))) % 6.61/6.87 (assume @p191 (forall @t15 (=> @t67 (forall @t420 (=> @t419 (=> @t418 @t417)))))) % 6.61/6.87 (assume @p192 (forall @t15 (=> @t401 (forall @t420 (=> @t421 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t409 @t411)) @t410)))))) % 6.61/6.87 (assume @p193 (forall @t15 (=> @t67 (forall @t420 (=> @t423 (=> @t422 @t417)))))) % 6.61/6.87 (assume @p194 (forall @t30 (=> @t244 (forall @t428 (=> @t427 @t426))))) % 6.61/6.87 (assume @p195 (forall @t15 (=> @t338 (forall @t176 (=> @t175 @t395))))) % 6.61/6.87 (assume @p196 (forall @t30 (=> @t244 (forall @t429 (= @t424 (and @t425 @t427)))))) % 6.61/6.87 (assume @p197 (forall @t15 (=> @t396 (forall @t176 (or @t395 @t394))))) % 6.61/6.87 (assume @p198 (forall (@list @t3 @t142 @t100 @t105) (=> @t108 (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t101 @t105) @t100)) (=> @t437 (=> (forall (@list @t432 @t431) (=> @t436 (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t435 @t100)) (=> (not (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t435 @t431))) (=> @t434 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t142 (tptp.hAPP @t28 @t28 @t433 @t431)))))))) @t430)))))) % 6.61/6.87 (assume @p199 (forall (@list @t438 @t97) (=> (tptp.hBOOL (tptp.hAPP @t92 tptp.bool (tptp.hAPP @t92 @t93 tptp.p (tptp.hAPP @t92 @t92 @t439 @t97)) (tptp.hAPP @t92 @t92 (tptp.hAPP tptp.x_a @t345 @t344 (tptp.hAPP tptp.com tptp.x_a tptp.mgt @t440)) @t343))) (tptp.hBOOL (tptp.hAPP @t92 tptp.bool @t98 (tptp.hAPP @t92 @t92 @t439 @t343)))))) % 6.61/6.87 (assume @p200 (forall @t443 (=> @t108 (=> @t437 (=> (forall @t442 (=> @t436 @t441)) @t430))))) % 6.61/6.87 (assume @p201 (forall @t355 (= (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t109)) (or (= @t446 @t354) (exists (@list @t444 @t432) (and (= @t446 (tptp.hAPP @t28 @t28 @t433 @t444)) @t445)))))) % 6.61/6.87 (assume @p202 (forall (@list @t447 @t116) (=> (forall @t242 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t238) @t448))) (tptp.hBOOL (tptp.hAPP @t120 tptp.bool @t167 (tptp.hAPP @t120 @t120 @t166 (tptp.hAPP tptp.nat @t120 (tptp.hAPP @t164 @t164 @t163 (tptp.hAPP @t57 @t164 (tptp.hAPP @t164 (tptp.fun @t57 @t164) (tptp.combb tptp.nat @t120 tptp.nat) @t119) @t116)) @t447))))))) % 6.61/6.87 (assume @p203 (forall @t449 (= (tptp.hAPP @t28 @t3 @t78 @t390) @t297))) % 6.61/6.87 (assume @p204 (forall @t104 (= @t359 (exists (@list @t245 @t450) (and (= @t130 (tptp.hAPP @t28 @t28 @t320 @t450)) (not (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t250 @t450)))))))) % 6.61/6.87 (assume @p205 (forall @t26 (=> @t70 (forall @t353 (=> @t349 @t352))))) % 6.61/6.87 (assume @p206 (forall (@list @t438) (=> (tptp.hBOOL (tptp.hAPP @t94 tptp.bool (tptp.hAPP tptp.pname @t347 @t346 @t438) tptp.u)) (tptp.hBOOL (tptp.hAPP tptp.com tptp.bool tptp.wt @t440))))) % 6.61/6.87 (assume @p207 (forall @t30 (=> @t456 (forall @t455 (=> @t454 (= @t451 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t237 @t261) @t380)))))))) % 6.61/6.87 (assume @p208 (forall (@list @t3 @t122 @t100 @t116 @t105) (=> @t458 (=> @t103 (=> (not (= @t129 @t354)) (=> @t260 (= (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t37 @t116 (tptp.hAPP @t28 @t3 @t105 @t122)) @t457) @t457))))))) % 6.61/6.87 (assume @p209 (forall @t463 (=> @t458 (=> @t103 @t462)))) % 6.61/6.87 (assume @p210 (forall @t443 (=> @t108 (=> (not (= (tptp.ti @t28 @t105) @t354)) (=> (forall @t252 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t142 (tptp.hAPP @t28 @t28 @t320 @t354)))) (=> (forall @t442 (=> @t436 (=> (not (= (tptp.ti @t28 @t431) @t354)) @t441))) @t430)))))) % 6.61/6.87 (assume @p211 (forall (@list @t3 @t465) (= (tptp.hAPP @t28 @t3 @t78 @t465) (tptp.hAPP @t28 @t3 @t55 (tptp.hAPP @t287 @t28 (tptp.hAPP @t29 (tptp.fun @t287 @t28) (tptp.combb @t28 tptp.bool @t3) (tptp.hAPP @t28 @t29 (tptp.fequal @t28) @t465)) @t464))))) % 6.61/6.87 (assume @p212 (forall @t463 (=> @t466 (=> @t103 (=> @t139 @t462))))) % 6.61/6.87 (assume @p213 (forall @t334 (=> @t103 @t470))) % 6.61/6.87 (assume @p214 (forall @t471 (=> @t458 (= (tptp.hAPP @t3 @t3 @t459 @t132) @t297)))) % 6.61/6.87 (assume @p215 (forall @t104 (= (tptp.hAPP @t28 @t28 @t468 @t100) @t354))) % 6.61/6.87 (assume @p216 (forall @t104 (= (tptp.hAPP @t28 @t28 @t468 @t354) @t130))) % 6.61/6.87 (assume @p217 (forall @t104 (= (tptp.hAPP @t28 @t28 (tptp.hAPP @t28 @t73 @t467 @t354) @t100) @t354))) % 6.61/6.87 (assume @p218 (forall @t128 (=> @t127 (= @t470 @t103)))) % 6.61/6.87 (assume @p219 (forall @t475 @t474)) % 6.61/6.87 (assume @p220 (forall @t475 (and @t474 (=> @t301 (= @t473 (tptp.hAPP @t28 @t28 @t133 @t469)))))) % 6.61/6.87 (assume @p221 (forall @t310 (=> @t126 (=> @t309 (= (tptp.hAPP @t28 @t28 @t477 (tptp.hAPP @t28 @t28 @t476 @t100)) @t130))))) % 6.61/6.87 (assume @p222 (forall (@list @t3 @t328 @t122 @t100 @t307) (=> @t308 (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t101 @t328) @t122)) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t478 (tptp.hAPP @t28 @t28 @t476 @t328))))))) % 6.61/6.87 (assume @p223 (forall @t128 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t478 @t100)))) % 6.61/6.87 (assume @p224 (forall @t463 (=> @t466 (=> @t103 (=> @t138 (and (=> @t481 (= @t457 @t297)) (=> @t482 (= @t457 @t480)))))))) % 6.61/6.87 (assume @p225 (forall @t463 (=> @t466 (=> @t103 (and (=> @t481 (= @t461 @t297)) (=> @t482 (= @t461 @t480))))))) % 6.61/6.87 (assume @p226 (forall @t485 (= @t484 (tptp.hAPP @t28 @t28 @t483 @t374)))) % 6.61/6.87 (assume @p227 (forall @t485 (= @t484 (tptp.hAPP @t28 @t28 (tptp.hAPP @t28 @t73 @t467 @t486) @t122)))) % 6.61/6.87 (assume @p228 (forall @t113 (= @t487 @t111))) % 6.61/6.87 (assume @p229 (forall @t136 (=> @t139 (= (tptp.hAPP @t28 @t28 @t472 @t390) @t130)))) % 6.61/6.87 (assume @p230 (forall @t113 (=> @t276 (= @t487 @t130)))) % 6.61/6.87 (assume @p231 (forall @t485 (= (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t484)) @t470))) % 6.61/6.87 (assume @p232 (forall (@list @t3 @t2 @t116 @t100 @t122) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t101 (tptp.hAPP @t28 @t28 (tptp.hAPP @t28 @t73 @t467 @t230) @t329)) (tptp.hAPP @t21 @t28 @t229 (tptp.hAPP @t21 @t21 @t488 @t122)))))) % 6.61/6.87 (assume @p233 (forall @t463 (=> @t458 (=> @t103 (=> @t138 (= @t460 @t457)))))) % 6.61/6.87 (assume @p234 (forall @t475 (=> @t489 (=> @t138 @t327)))) % 6.61/6.87 (assume @p235 (forall @t475 (= @t327 (and (=> @t138 @t489) @t490)))) % 6.61/6.87 (assume @p236 (forall @t30 (=> @t491 (forall @t455 (=> @t454 (= @t272 (= @t378 @t381))))))) % 6.61/6.87 (assume @p237 (forall @t471 (=> @t466 (= (tptp.hAPP @t28 @t3 @t105 @t390) @t297)))) % 6.61/6.87 (assume @p238 (forall @t128 (=> @t127 (=> @t260 (= @t494 @t493))))) % 6.61/6.87 (assume @p239 (forall @t128 (=> @t127 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t493) @t494))))) % 6.61/6.87 (assume @p240 (forall @t136 (=> @t103 (=> @t138 (= @t496 @t115))))) % 6.61/6.87 (assume @p241 (forall @t136 (=> @t103 (= @t135 @t496)))) % 6.61/6.87 (assume @p242 (forall @t136 (=> @t103 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t495) @t115))))) % 6.61/6.87 (assume @p243 (forall (@list @t3 @t339 @t106 @t116 @t105) (=> @t458 (=> (forall @t499 (= (tptp.hAPP @t3 @t3 @t106 @t498) (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t37 @t116 (tptp.hAPP @t3 @t3 @t106 @t245)) (tptp.hAPP @t3 @t3 @t106 @t497)))) (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t27 @t339)) (=> (not (= (tptp.ti @t28 @t339) @t354)) (= (tptp.hAPP @t3 @t3 @t106 (tptp.hAPP @t28 @t3 @t105 @t339)) (tptp.hAPP @t28 @t3 @t105 (tptp.hAPP @t28 @t28 (tptp.hAPP @t37 @t73 @t326 @t106) @t339))))))))) % 6.61/6.87 (assume @p244 (forall (@list @t3 @t100 @t116 @t105) (=> @t466 (=> @t103 (=> @t359 (=> (forall @t499 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t3 @t29 @t90 @t498) (tptp.hAPP @t28 @t28 @t320 (tptp.hAPP @t28 @t28 (tptp.hAPP @t3 @t73 @t76 @t497) @t354))))) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t3 @t29 @t90 @t457) @t100)))))))) % 6.61/6.87 (assume @p245 (forall (@list @t3 @t142 @t100) (=> @t103 (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t142 @t100)) (=> (forall (@list @t432 @t444) (=> @t445 (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t435 @t444)) (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t142 @t444)) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t142 (tptp.hAPP @t28 @t28 (tptp.hAPP @t28 @t73 @t467 @t444) (tptp.hAPP @t28 @t28 @t433 @t354)))))))) @t437))))) % 6.61/6.87 (assume @p246 (forall @t506 (=> @t505 (=> @t504 (=> @t258 (= @t503 @t502)))))) % 6.61/6.87 (assume @p247 (forall @t506 (=> @t505 (=> @t504 (= @t507 @t502))))) % 6.61/6.87 (assume @p248 (forall @t449 (= (tptp.hAPP @t28 @t3 @t55 (tptp.hAPP @t3 @t28 @t286 @t132)) @t297))) % 6.61/6.87 (assume @p249 (forall @t266 (=> @t508 (not @t265)))) % 6.61/6.87 (assume @p250 (forall (@list @t3 @t122 @t261 @t100) (=> @t264 (=> @t509 @t508)))) % 6.61/6.87 (assume @p251 (forall @t266 (=> @t508 @t509))) % 6.61/6.87 (assume @p252 (forall @t266 (=> @t508 @t264))) % 6.61/6.87 (assume @p253 (forall @t128 (= (tptp.hAPP @t28 @t28 @t483 @t122) @t469))) % 6.61/6.87 (assume @p254 (forall @t266 (= @t508 (and @t264 @t509)))) % 6.61/6.87 (assume @p255 (forall @t128 (= @t469 (tptp.hAPP @t28 @t28 @t72 (tptp.hAPP @t28 @t28 @t249 (tptp.hAPP @t28 @t28 @t291 @t285)))))) % 6.61/6.87 (assume @p256 (forall (@list @t2 @t3 @t116 @t312 @t304 @t105) (=> @t505 (= (tptp.hAPP @t21 @t3 @t105 @t382) @t313)))) % 6.61/6.87 (assume @p257 (forall @t506 (=> @t505 (=> @t504 (=> (not @t258) (= @t507 (tptp.hAPP @t3 @t3 @t501 @t503))))))) % 6.61/6.87 (assume @p258 (forall (@list @t3 @t132 @t293 @t142) (and (=> @t511 (= @t297 @t510)) (=> (not @t511) (= @t298 @t510))))) % 6.61/6.87 (assume @p259 (forall @t355 (= (tptp.hAPP @t28 @t3 @t55 @t289) @t271))) % 6.61/6.87 (assume @p260 (forall @t387 (=> @t385 (=> @t515 @t513)))) % 6.61/6.87 (assume @p261 (forall (@list @t2 @t3 @t100 @t116 @t312 @t304 @t105) (=> @t505 (=> @t504 (=> (forall @t252 (=> @t314 (= (tptp.hAPP @t2 @t3 @t304 @t245) @t313))) (= @t503 @t313)))))) % 6.61/6.87 (assume @p262 (forall @t26 (=> @t45 (forall (@list @t100 @t122 @t245) (= (tptp.hAPP @t3 @t2 (tptp.hAPP @t8 @t8 (tptp.hAPP @t8 (tptp.fun @t8 @t8) (tptp.minus_minus @t8) @t100) @t122) @t245) (tptp.hAPP @t2 @t2 (tptp.hAPP @t2 @t24 @t44 (tptp.hAPP @t3 @t2 @t100 @t245)) (tptp.hAPP @t3 @t2 @t122 @t245))))))) % 6.61/6.87 (assume @p263 (forall @t363 (=> (tptp.minus @t3) (forall (@list @t100 @t122 @t132) (= (tptp.hAPP @t2 @t3 (tptp.hAPP @t34 @t34 (tptp.hAPP @t34 (tptp.fun @t34 @t34) (tptp.minus_minus @t34) @t100) @t122) @t132) (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t37 @t452 (tptp.hAPP @t2 @t3 @t100 @t132)) (tptp.hAPP @t2 @t3 @t122 @t132))))))) % 6.61/6.87 (assume @p264 (forall @t387 (=> @t385 (=> @t515 @t516)))) % 6.61/6.87 (assume @p265 (forall @t306 (=> @t517 @t516))) % 6.61/6.87 (assume @p266 (forall @t292 (=> @t517 (=> @t385 @t513)))) % 6.61/6.87 (assume @p267 (forall (@list @t3 @t100 @t254) (and (=> @t519 (= @t518 @t259)) (=> (not @t519) (= @t518 (tptp.hAPP @t28 @t3 @t55 (tptp.hAPP @t28 @t28 @t248 (tptp.hAPP @t28 @t28 @t468 @t373)))))))) % 6.61/6.87 (assume @p268 (forall @t136 (=> @t103 @t521))) % 6.61/6.87 (assume @p269 (forall @t136 (=> @t103 (and @t521 (=> @t139 (= @t495 @t115)))))) % 6.61/6.87 (assume @p270 (forall @t30 (=> @t47 (forall @t361 (= (= @t46 @t297) (= @t297 @t46)))))) % 6.61/6.87 (assume @p271 (forall @t185 (= (tptp.hAPP tptp.nat tptp.nat @t154 @t180) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 (tptp.hAPP tptp.nat tptp.nat @t154 @t520)) @t151)))) % 6.61/6.87 (assume @p272 (forall @t181 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 @t180) @t520) @t151))) % 6.61/6.87 (assume @p273 (forall (@list @t3 @t122 @t109 @t100) (=> @t103 (=> @t276 (=> @t274 (= (tptp.hAPP @t28 tptp.nat @t114 @t484) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 @t494) @t520))))))) % 6.61/6.87 (assume @p274 (forall @t136 (=> @t103 (= @t135 @t524)))) % 6.61/6.87 (assume @p275 (forall @t136 (=> @t103 (=> @t138 (= @t115 @t524))))) % 6.61/6.87 (assume @p276 (forall @t30 (tptp.hBOOL (tptp.hAPP @t77 tptp.bool @t526 (tptp.hAPP @t287 @t77 (tptp.hAPP @t525 (tptp.fun @t287 @t77) (tptp.combb @t28 @t73 @t3) (tptp.hAPP @t525 @t525 (tptp.combc @t28 @t28 @t28) @t467)) @t464))))) % 6.61/6.87 (assume @p277 (forall @t205 (= @t528 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP @t120 @t120 (tptp.hAPP tptp.bool @t527 (tptp.nat_case tptp.bool) tptp.fFalse) @t203) @t169))))) % 6.61/6.87 (assume @p278 (forall @t30 (=> @t535 (forall @t534 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t237 @t533) @t531)) @t451))))) % 6.61/6.87 (assume @p279 (forall @t30 (=> @t535 (forall @t539 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t237 @t538) @t537)) @t451))))) % 6.61/6.87 (assume @p280 (forall @t15 (=> @t546 (forall @t420 (=> @t419 @t545))))) % 6.61/6.87 (assume @p281 (forall @t15 (=> @t546 (forall @t420 (=> @t419 @t550))))) % 6.61/6.87 (assume @p282 (forall @t15 (=> @t546 (forall @t554 (=> @t419 (=> @t553 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t544 @t552)))))))) % 6.61/6.87 (assume @p283 (forall @t15 (=> @t556 (forall @t555 (=> @t545 @t419))))) % 6.61/6.87 (assume @p284 (forall @t15 (=> @t556 (forall @t420 (=> @t550 @t419))))) % 6.61/6.87 (assume @p285 (forall @t185 (= @t560 @t559))) % 6.61/6.87 (assume @p286 (forall @t185 (= @t561 @t559))) % 6.61/6.87 (assume @p287 (forall @t185 (= @t561 @t560))) % 6.61/6.87 (assume @p288 (forall (@list @t3 @t2 @t132 @t312 @t116) (=> (tptp.hBOOL (tptp.hAPP @t25 tptp.bool @t23 @t116)) (= (tptp.hAPP @t2 @t2 @t562 @t563) @t563)))) % 6.61/6.87 (assume @p289 (forall (@list @t198 @t162 @t169) (= (= @t565 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t522 @t169) @t162)) @t219))) % 6.61/6.87 (assume @p290 (forall @t569 (= (= @t568 @t567) @t219))) % 6.61/6.87 (assume @p291 (forall @t208 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t522 @t558) @t186) (tptp.hAPP tptp.nat tptp.nat @t557 @t571)))) % 6.61/6.87 (assume @p292 (forall (@list @t174 @t173 @t397) (= (tptp.hAPP tptp.nat tptp.nat @t572 @t574) (tptp.hAPP tptp.nat tptp.nat @t573 (tptp.hAPP tptp.nat tptp.nat @t572 @t397))))) % 6.61/6.87 (assume @p293 (forall @t185 (= @t558 @t575))) % 6.61/6.87 (assume @p294 (forall @t15 (=> @t52 (forall @t576 (=> (= (tptp.hAPP @t1 @t1 @t540 @t365) @t549) @t413))))) % 6.61/6.87 (assume @p295 (forall @t15 (=> (tptp.cancel146912293up_add @t1) @t579))) % 6.61/6.87 (assume @p296 (forall @t15 (=> @t52 @t579))) % 6.61/6.87 (assume @p297 (forall @t30 (=> @t580 (forall (@list @t254 @t109 @t261) (= (= (tptp.hAPP @t3 @t3 @t530 @t109) @t538) @t379))))) % 6.61/6.87 (assume @p298 (forall @t30 (=> @t580 (forall (@list @t109 @t254 @t261) (= (= (tptp.hAPP @t3 @t3 @t532 @t254) @t533) @t379))))) % 6.61/6.87 (assume @p299 (forall @t15 (=> @t51 (forall @t578 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t48 @t577) @t408) (tptp.hAPP @t1 @t1 @t542 @t541)))))) % 6.61/6.87 (assume @p300 (forall @t185 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 @t558) @t151) @t152))) % 6.61/6.87 (assume @p301 (forall @t161 (= (tptp.hAPP tptp.nat tptp.nat @t581 @t151) @t152))) % 6.61/6.87 (assume @p302 (forall @t194 (= @t193 (tptp.hAPP tptp.nat tptp.nat @t192 @t583)))) % 6.61/6.87 (assume @p303 (forall (@list @t186 @t152 @t151) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 @t586) @t585) @t155))) % 6.61/6.87 (assume @p304 (forall @t589 (= (tptp.hAPP tptp.nat tptp.nat @t588 @t571) @t155))) % 6.61/6.87 (assume @p305 (forall @t161 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t159 @t558)))) % 6.61/6.87 (assume @p306 (forall @t161 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t159 @t575)))) % 6.61/6.87 (assume @p307 (forall @t205 (= @t204 (exists @t592 (= @t169 @t591))))) % 6.61/6.87 (assume @p308 (forall @t569 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t568) @t567)) @t204))) % 6.61/6.87 (assume @p309 (forall @t594 (=> @t190 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t188 @t593))))) % 6.61/6.87 (assume @p310 (forall @t594 (=> @t190 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t188 @t595))))) % 6.61/6.87 (assume @p311 (forall @t191 (=> @t190 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t598 @t583))))) % 6.61/6.87 (assume @p312 (forall @t600 (=> @t190 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t217 @t220)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t598 @t599)))))) % 6.61/6.87 (assume @p313 (forall @t589 (=> @t601 @t218))) % 6.61/6.87 (assume @p314 (forall @t589 (=> @t601 @t184))) % 6.61/6.87 (assume @p315 (forall @t589 (=> @t601 (not (=> @t184 (not @t218)))))) % 6.61/6.87 (assume @p316 (forall @t15 (=> @t605 (forall @t604 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t48 (tptp.hAPP @t1 @t1 @t603 @t411)) @t411) @t366))))) % 6.61/6.87 (assume @p317 (forall @t15 (=> @t605 (forall @t604 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t14 @t602 @t577) @t411) @t366))))) % 6.61/6.87 (assume @p318 (forall @t30 (tptp.hBOOL (tptp.hAPP @t77 tptp.bool @t526 @t76)))) % 6.61/6.87 (assume @p319 (forall @t612 (=> @t611 (= @t610 @t608)))) % 6.61/6.87 (assume @p320 (forall @t612 (=> @t611 (= @t608 @t610)))) % 6.61/6.87 (assume @p321 (forall @t612 (=> @t611 (= @t615 @t613)))) % 6.61/6.87 (assume @p322 (forall (@list @t162 @t279 @t616) (=> @t619 (= (= (tptp.hAPP tptp.nat tptp.nat @t617 @t279) @t162) (= @t616 (tptp.hAPP tptp.nat tptp.nat @t566 @t279)))))) % 6.61/6.87 (assume @p323 (forall @t161 (=> @t160 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t522 @t155) @t151) @t152)))) % 6.61/6.87 (assume @p324 (forall (@list @t279 @t162 @t616) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t212 @t616)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t618 @t621)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t620) @t616)))))) % 6.61/6.87 (assume @p325 (forall @t612 (=> @t611 (= @t613 @t615)))) % 6.61/6.87 (assume @p326 (forall @t161 (=> @t160 @t622))) % 6.61/6.87 (assume @p327 (forall @t589 (=> @t218 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t183 (tptp.hAPP tptp.nat tptp.nat @t581 @t186)))))) % 6.61/6.87 (assume @p328 (forall (@list @t616 @t162 @t279) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t621) @t279)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t616) @t620))))) % 6.61/6.87 (assume @p329 (forall @t612 (=> @t611 (= (tptp.hAPP tptp.nat tptp.nat @t192 @t607) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 @t597) @t189))))) % 6.61/6.87 (assume @p330 (forall @t181 (= @t180 (tptp.hAPP tptp.nat tptp.nat @t570 @t520)))) % 6.61/6.87 (assume @p331 (forall @t181 (= @t180 (tptp.hAPP tptp.nat tptp.nat @t523 @t151)))) % 6.61/6.87 (assume @p332 (forall (@list @t3 @t624 @t623 @t178) (= (tptp.hAPP tptp.nat @t3 @t625 @t179) (tptp.hAPP tptp.nat @t3 @t623 @t178)))) % 6.61/6.87 (assume @p333 (forall @t628 (=> @t611 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 @t627) @t152) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 @t626) @t586))))) % 6.61/6.87 (assume @p334 (forall @t628 (=> @t611 (= (tptp.hAPP tptp.nat tptp.nat @t154 @t627) (tptp.hAPP tptp.nat tptp.nat @t588 @t626))))) % 6.61/6.87 (assume @p335 (forall @t136 (=> @t103 (=> @t139 (= @t135 (tptp.hAPP tptp.nat tptp.nat @t523 @t115)))))) % 6.61/6.87 (assume @p336 (forall @t407 (=> @t631 @t630))) % 6.61/6.87 (assume @p337 (forall @t632 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t629 @t397)) @t630))) % 6.61/6.87 (assume @p338 (forall (@list @t3 @t293 @t132 @t100) (=> @t103 (=> @t138 (=> (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t3 @t29 @t90 @t293) @t100)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 (tptp.hAPP @t28 tptp.nat @t114 (tptp.hAPP @t28 @t28 (tptp.hAPP @t28 @t73 @t467 @t479) (tptp.hAPP @t28 @t28 @t294 @t354)))) @t115))))))) % 6.61/6.87 (assume @p339 (forall @t136 (=> @t103 (=> @t138 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t495) @t115)))))) % 6.61/6.87 (assume @p340 (forall @t181 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t634 @t180)))) % 6.61/6.87 (assume @p341 (forall @t185 (=> @t638 @t636))) % 6.61/6.87 (assume @p342 (forall @t168 (tptp.hBOOL (tptp.hAPP @t120 tptp.bool @t167 (tptp.hAPP @t120 @t120 @t166 (tptp.hAPP tptp.nat @t120 @t639 @t162)))))) % 6.61/6.87 (assume @p343 (forall @t407 (=> @t642 @t641))) % 6.61/6.87 (assume @p344 (forall @t632 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t640 @t397)) @t641))) % 6.61/6.87 (assume @p345 (forall @t194 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t645 @t186)) @t644))) % 6.61/6.87 (assume @p346 (forall (@list @t152 @t151 @t186 @t220) (=> @t646 (=> (= (tptp.hAPP tptp.nat tptp.nat @t557 @t220) @t585) @t638)))) % 6.61/6.87 (assume @p347 (forall @t600 (=> @t648 (=> @t646 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t647 @t599)))))) % 6.61/6.87 (assume @p348 (forall @t191 (=> @t648 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t647 @t583))))) % 6.61/6.87 (assume @p349 (forall @t594 (=> @t648 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t643 @t595))))) % 6.61/6.87 (assume @p350 (forall @t594 (=> @t648 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t643 @t593))))) % 6.61/6.87 (assume @p351 (forall @t569 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t568) @t567)) @t650))) % 6.61/6.87 (assume @p352 (forall (@list @t189 @t187) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t609) @t187))))) % 6.61/6.87 (assume @p353 (forall (@list @t187 @t189) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t645 @t187))))) % 6.61/6.87 (assume @p354 (forall @t15 (=> @t556 (forall @t420 (=> @t653 @t652))))) % 6.61/6.87 (assume @p355 (forall @t15 (=> @t556 (forall @t555 (=> @t655 @t652))))) % 6.61/6.87 (assume @p356 (forall @t15 (=> @t659 (forall @t554 (=> @t652 @t658))))) % 6.61/6.87 (assume @p357 (forall @t15 (=> @t659 (forall @t420 (=> @t652 @t653))))) % 6.61/6.87 (assume @p358 (forall @t15 (=> @t659 (forall @t420 (=> @t652 @t655))))) % 6.61/6.87 (assume @p359 (forall @t30 (=> @t535 (forall @t539 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t660 @t538) @t537)) @t662))))) % 6.61/6.87 (assume @p360 (forall @t30 (=> @t535 (forall @t534 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t660 @t533) @t531)) @t662))))) % 6.61/6.87 (assume @p361 (forall @t30 (=> @t456 (forall @t455 (=> @t454 (= @t662 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t660 @t261) @t380)))))))) % 6.61/6.87 (assume @p362 (forall @t185 (=> @t636 @t638))) % 6.61/6.87 (assume @p363 (forall @t185 (=> @t663 @t638))) % 6.61/6.87 (assume @p364 (forall @t185 (=> @t665 (=> @t664 @t182)))) % 6.61/6.87 (assume @p365 (forall @t191 (=> @t648 (=> @t668 @t667)))) % 6.61/6.87 (assume @p366 (forall @t185 (=> @t638 (=> (not (= @t156 @t151)) @t663)))) % 6.61/6.87 (assume @p367 (forall @t185 (=> @t638 @t665))) % 6.61/6.87 (assume @p368 (forall @t161 (=> (not @t669) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t634 @t156)) @t182)))) % 6.61/6.87 (assume @p369 (forall @t202 (=> (not @t673) @t672))) % 6.61/6.87 (assume @p370 (forall @t205 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t200) @t170)) @t650))) % 6.61/6.87 (assume @p371 (forall @t205 (= @t675 @t674))) % 6.61/6.87 (assume @p372 (forall @t205 (= (not @t650) @t671))) % 6.61/6.87 (assume @p373 (forall @t185 (=> (or @t638 @t182) @t184))) % 6.61/6.87 (assume @p374 (forall @t185 (=> @t184 (=> @t676 @t638)))) % 6.61/6.87 (assume @p375 (forall @t185 (=> @t638 @t184))) % 6.61/6.87 (assume @p376 (forall @t205 (= @t204 @t674))) % 6.61/6.87 (assume @p377 (forall @t205 (= @t650 (and @t204 @t677)))) % 6.61/6.87 (assume @p378 (forall @t221 (=> @t638 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t637 @t220)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t224) @t223)))))) % 6.61/6.87 (assume @p379 (forall (@list @t151 @t189 @t186) (=> @t668 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 (tptp.hAPP tptp.nat tptp.nat @t606 @t151)) @t186))))) % 6.61/6.87 (assume @p380 (forall @t15 (=> @t338 (forall @t337 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t678 @t174))))))) % 6.61/6.87 (assume @p381 (forall @t30 (=> @t682 (forall @t429 (= @t681 (or @t680 @t679)))))) % 6.61/6.87 (assume @p382 (forall @t30 (=> @t682 (forall @t429 (= @t683 (or @t679 @t424)))))) % 6.61/6.87 (assume @p383 (forall @t15 (=> @t396 (forall @t176 (or @t686 @t404 @t685))))) % 6.61/6.87 (assume @p384 (forall @t30 (=> @t682 (forall @t428 (=> (not @t679) @t687))))) % 6.61/6.87 (assume @p385 (forall @t15 (=> @t396 @t690))) % 6.61/6.87 (assume @p386 (forall @t15 (=> @t401 (forall @t176 (=> @t686 @t689))))) % 6.61/6.87 (assume @p387 (forall @t15 (=> @t338 (forall @t176 (=> @t686 (not @t685)))))) % 6.61/6.87 (assume @p388 (forall @t15 (=> @t401 (forall @t176 (=> @t686 (not (= @t402 @t403))))))) % 6.61/6.87 (assume @p389 (forall @t30 (=> @t691 (forall (@list @t142 @t132 @t293) (=> @t680 (=> @t679 @t511)))))) % 6.61/6.87 (assume @p390 (forall @t15 (=> @t338 (forall @t604 (=> @t652 (not @t693)))))) % 6.61/6.87 (assume @p391 (forall @t15 (=> @t401 (forall @t694 (=> @t693 (not @t652)))))) % 6.61/6.87 (assume @p392 (forall @t15 (=> @t67 (forall @t420 (=> @t423 (=> @t696 @t695)))))) % 6.61/6.87 (assume @p393 (forall @t15 (=> @t401 (forall @t420 (=> @t421 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t657 @t411)) @t697)))))) % 6.61/6.87 (assume @p394 (forall @t15 (=> @t67 (forall @t420 (=> @t652 (=> @t418 @t695)))))) % 6.61/6.87 (assume @p395 (forall @t15 (=> @t401 (forall @t416 (=> @t693 (=> @t413 @t697)))))) % 6.61/6.87 (assume @p396 (forall @t15 (=> @t338 (forall @t407 (=> @t686 @t699))))) % 6.61/6.87 (assume @p397 (forall @t15 (=> @t401 (forall @t400 (=> @t685 @t702))))) % 6.61/6.87 (assume @p398 (forall @t15 (=> @t396 (forall @t176 (=> @t688 (=> @t689 @t685)))))) % 6.61/6.87 (assume @p399 (forall @t176 (=> @t642 @t631))) % 6.61/6.87 (assume @p400 (forall @t181 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t634 @t151))))) % 6.61/6.87 (assume @p401 (forall @t205 (= @t677 (or @t650 @t673)))) % 6.61/6.87 (assume @p402 (forall @t176 (=> (not @t175) (=> (not @t642) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t173) @t174)))))) % 6.61/6.87 (assume @p403 (forall @t161 (=> @t669 @t676))) % 6.61/6.87 (assume @p404 (forall (@list @t704 @t703) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t704) @t703)) (not (= @t704 @t703))))) % 6.61/6.87 (assume @p405 (forall (@list @t142 @t198 @t169) (=> (=> @t650 @t705) (=> (=> @t219 @t705) (=> (=> @t673 @t705) @t705))))) % 6.61/6.87 (assume @p406 (forall @t15 (=> @t369 (forall @t368 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t651 @t364))))))) % 6.61/6.87 (assume @p407 (forall @t30 (=> @t362 (forall @t372 (= (not @t370) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t660 @t360) @t109))))))) % 6.61/6.87 (assume @p408 (forall @t30 (=> @t682 (forall @t429 (= @t683 @t427))))) % 6.61/6.87 (assume @p409 (forall @t30 (=> @t682 (forall @t429 (= (not @t425) @t679))))) % 6.61/6.87 (assume @p410 (forall @t15 (=> @t396 (forall @t176 (or @t395 @t685))))) % 6.61/6.87 (assume @p411 (forall @t30 (=> @t244 (forall @t429 (= @t680 (and @t425 @t681)))))) % 6.61/6.87 (assume @p412 (forall @t30 (=> @t691 (forall @t429 (= @t680 (and @t425 (not @t427))))))) % 6.61/6.87 (assume @p413 (forall @t30 (=> @t244 (forall @t429 (= @t425 (or @t680 @t424)))))) % 6.61/6.87 (assume @p414 (forall @t15 (=> @t396 (forall @t176 (=> @t688 @t394))))) % 6.61/6.87 (assume @p415 (forall @t15 (=> @t396 (forall @t405 (=> (not @t394) @t686))))) % 6.61/6.87 (assume @p416 (forall @t30 (=> @t682 (forall @t429 (=> @t683 @t426))))) % 6.61/6.87 (assume @p417 (forall @t15 (=> @t401 (forall @t604 (=> @t706 (=> @t419 @t652)))))) % 6.61/6.87 (assume @p418 (forall @t15 (=> @t401 (forall @t604 (=> @t706 (=> @t415 @t693)))))) % 6.61/6.87 (assume @p419 (forall @t15 (=> @t396 (forall @t405 (=> @t394 @t688))))) % 6.61/6.87 (assume @p420 (forall @t15 (=> @t338 (forall @t176 (=> @t686 @t395))))) % 6.61/6.87 (assume @p421 (forall @t30 (=> @t682 (forall @t429 (=> @t425 @t687))))) % 6.61/6.87 (assume @p422 (forall @t15 (=> @t401 (forall @t176 (=> @t395 (or @t686 @t404)))))) % 6.61/6.87 (assume @p423 (forall @t15 (=> @t401 (forall @t604 (=> @t419 (=> @t706 @t652)))))) % 6.61/6.87 (assume @p424 (forall @t15 (=> @t401 (forall @t694 (=> @t415 (=> @t706 @t693)))))) % 6.61/6.87 (assume @p425 (forall @t15 (=> @t338 (forall @t407 (=> @t686 (=> @t406 @t698)))))) % 6.61/6.87 (assume @p426 (forall @t15 (=> @t401 (forall @t400 (=> @t685 (=> @t399 @t701)))))) % 6.61/6.87 (assume @p427 (forall @t15 (=> @t338 (forall @t407 (=> @t395 @t699))))) % 6.61/6.87 (assume @p428 (forall @t15 (=> @t401 (forall @t400 (=> @t394 @t702))))) % 6.61/6.87 (assume @p429 (forall @t342 (= @t341 (exists @t282 (forall @t252 (=> @t340 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t707 @t280)))))))) % 6.61/6.87 (assume @p430 (forall (@list @t3 @t100 @t116 @t169) (=> (= @t130 (tptp.hAPP @t120 @t28 (tptp.hAPP @t59 @t710 @t709 @t116) @t708)) @t103))) % 6.61/6.87 (assume @p431 (forall @t172 (= (tptp.hAPP @t120 tptp.nat @t171 @t708) @t169))) % 6.61/6.87 (assume @p432 (forall (@list @t142 @t279) (tptp.hBOOL (tptp.hAPP @t120 tptp.bool @t167 (tptp.hAPP @t120 @t120 @t166 (tptp.hAPP @t120 @t120 (tptp.hAPP @t711 @t527 (tptp.combs tptp.nat tptp.bool tptp.bool) (tptp.hAPP @t120 @t711 (tptp.hAPP @t84 (tptp.fun @t120 @t711) (tptp.combb tptp.bool @t83 tptp.nat) tptp.fconj) @t142)) (tptp.hAPP tptp.nat @t120 @t639 @t279))))))) % 6.61/6.87 (assume @p433 (forall @t15 (=> @t659 (forall @t554 (=> @t419 @t658))))) % 6.61/6.87 (assume @p434 (forall @t15 (=> @t659 (forall @t554 (=> @t652 (=> @t553 @t656)))))) % 6.61/6.87 (assume @p435 (forall @t712 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t643 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t596 @t152)))))) % 6.61/6.87 (assume @p436 (forall @t712 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t643 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t557 @t187)))))) % 6.61/6.87 (assume @p437 (forall @t205 (= @t650 (exists @t592 (= @t169 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t591)))))) % 6.61/6.87 (assume @p438 (forall @t202 (= @t673 @t206))) % 6.61/6.87 (assume @p439 (forall @t205 (= @t675 @t204))) % 6.61/6.87 (assume @p440 (forall @t205 (= @t528 @t650))) % 6.61/6.87 (assume @p441 (forall @t185 (=> @t184 @t665))) % 6.61/6.87 (assume @p442 (forall @t185 (=> @t638 @t196))) % 6.61/6.87 (assume @p443 (forall @t205 (=> @t204 @t672))) % 6.61/6.87 (assume @p444 (forall @t185 (=> @t196 @t638))) % 6.61/6.87 (assume @p445 (forall @t185 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t155) @t156)))) % 6.61/6.87 (assume @p446 (forall @t185 (=> @t664 @t622))) % 6.61/6.87 (assume @p447 (forall (@list @t279 @t616 @t162) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t279) @t621)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t620) @t616))))) % 6.61/6.87 (assume @p448 (forall @t420 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t365) @t411)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t408) @t365)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 @t365) @t408)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 @t411) @t408))))))) % 6.61/6.87 (assume @p449 (forall @t215 (=> @t214 (=> @t213 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t211) @t209)) @t650))))) % 6.61/6.87 (assume @p450 (forall @t252 (= @t707 (tptp.hAPP tptp.nat @t120 @t119 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t245))))) % 6.61/6.87 (assume @p451 (forall (@list @t198 @t162 @t116) (=> (forall (@list @t280 @t238) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t280) @t238)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 (tptp.hAPP tptp.nat tptp.nat @t116 @t280)) @t448)))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t522 (tptp.hAPP tptp.nat tptp.nat @t116 @t198)) @t162)) (tptp.hAPP tptp.nat tptp.nat @t116 @t565)))))) % 6.61/6.87 (assume @p452 (forall (@list @t142 @t279 @t616) (=> @t619 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 @t616)) (=> (forall (@list @t713) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t714 @t616)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t713))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 @t713))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t142 @t279))))))) % 6.61/6.87 (assume @p453 (forall @t185 (=> @t638 (exists @t592 (= @t151 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat @t557 @t590))))))) % 6.61/6.87 (assume @p454 (forall @t310 (=> @t126 @t718))) % 6.61/6.87 (assume @p455 (forall @t310 (=> @t719 (=> @t309 @t717)))) % 6.61/6.87 (assume @p456 (forall @t128 (=> @t719 @t126))) % 6.61/6.87 (assume @p457 (forall @t128 (= @t126 (or @t719 @t131)))) % 6.61/6.87 (assume @p458 (forall @t128 (= @t719 (and @t126 (not @t131))))) % 6.61/6.87 (assume @p459 (forall @t104 (not (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t716 @t354))))) % 6.61/6.87 (assume @p460 (forall @t26 (=> @t70 (forall @t353 (= (tptp.hBOOL (tptp.hAPP @t8 tptp.bool (tptp.hAPP @t8 @t351 (tptp.ord_less @t8) @t116) @t304)) (and @t352 (not (tptp.hBOOL (tptp.hAPP @t8 tptp.bool (tptp.hAPP @t8 @t351 @t350 @t304) @t116))))))))) % 6.61/6.87 (assume @p461 (forall @t128 (=> @t127 (=> @t719 @t720)))) % 6.61/6.87 (assume @p462 (forall @t475 (= (tptp.hBOOL (tptp.hAPP @t28 tptp.bool @t716 @t299)) (and (=> @t300 @t719) (=> @t301 (and (=> @t138 (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t28 @t29 @t715 @t479) @t122))) @t490)))))) % 6.61/6.87 (assume @p463 (forall @t128 (=> @t127 (=> @t126 (=> @t720 @t719))))) % 6.61/6.87 (assume @p464 (forall @t104 (= @t103 (exists (@list @t238 @t721) (= @t130 (tptp.hAPP @t120 @t28 (tptp.hAPP @t59 @t710 @t709 @t721) (tptp.hAPP @t120 @t120 @t166 (tptp.hAPP tptp.nat @t120 @t639 @t238)))))))) % 6.61/6.87 (assume @p465 (forall @t30 (=> @t244 (forall @t243 (=> @t723 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t670 @t234)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t722 @t235)))))))) % 6.61/6.87 (assume @p466 (forall @t266 (=> @t719 @t265))) % 6.61/6.87 (assume @p467 (forall @t310 (=> @t719 @t718))) % 6.61/6.87 (assume @p468 (forall @t30 (=> @t244 (forall (@list @t169 @t198 @t116) (=> @t723 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t722 (tptp.hAPP tptp.nat @t3 @t116 @t198))) @t673)))))) % 6.61/6.87 (assume @p469 (forall @t15 (=> @t725 (forall @t368 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t651 (tptp.hAPP @t1 @t1 @t542 @t724))))))) % 6.61/6.87 (assume @p470 (forall @t15 (=> (tptp.linordered_idom @t1) @t690))) % 6.61/6.87 (assume @p471 (forall (@list @t169 @t339) (=> (forall @t252 (=> @t340 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t707 @t169)))) @t341))) % 6.61/6.87 (assume @p472 (forall @t128 (=> @t719 (exists (@list @t726) (tptp.hBOOL (tptp.hAPP @t28 tptp.bool (tptp.hAPP @t3 @t29 @t90 @t726) (tptp.hAPP @t28 @t28 @t477 @t100))))))) % 6.61/6.87 (assume @p473 (forall (@list @t279 @t616 @t116) (=> (forall (@list @t713 @t727) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t714 @t727)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 (tptp.hAPP tptp.nat tptp.nat @t116 @t713)) (tptp.hAPP tptp.nat tptp.nat @t116 @t727))))) (=> @t619 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 (tptp.hAPP tptp.nat tptp.nat @t116 @t279)) (tptp.hAPP tptp.nat tptp.nat @t116 @t616))))))) % 6.61/6.87 (assume @p474 (forall @t729 (=> @t667 @t728))) % 6.61/6.87 (assume @p475 (forall @t729 (=> @t644 (=> (not (= @t186 @t666)) @t728)))) % 6.61/6.87 (assume @p476 (forall @t363 (=> (and @t244 @t70) (forall @t736 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t237 @t735) @t109)) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t734 @t254)) (=> (forall @t499 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t733 @t497) @t245)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t660 @t732) @t311)))) @t731))))))) % 6.61/6.87 (assume @p477 (forall @t15 (=> @t737 (forall (@list @t397 @t173) (=> (forall @t252 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t65 @t64 @t245) @t173)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t65 @t335 @t245) @t397)))) @t406))))) % 6.61/6.87 (assume @p478 (forall @t15 (=> @t737 (forall @t407 (=> @t686 (=> (forall (@list @t738) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t678 @t738)) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t65 @t64 @t738) @t173)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t65 @t335 @t738) @t397))))) @t406)))))) % 6.61/6.87 (assume @p479 (forall @t363 (=> @t741 (forall @t736 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t660 @t735) @t109)) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t739 @t254)) (=> (forall @t499 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t68 @t497) @t245)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t237 @t732) @t311)))) @t731))))))) % 6.61/6.87 (assume @p480 (forall @t26 (=> @t744 (forall @t743 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t371 @t735)) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t733 @t254) @t261)) (=> (forall @t499 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t733 @t245) @t497)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t660 @t311) @t732)))) @t742))))))) % 6.61/6.87 (assume @p481 (forall @t363 (=> @t741 (forall @t736 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t660 @t254) @t109)) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t739 @t748)) (=> (forall @t499 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t660 @t497) @t245)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t733 @t747) @t246)))) @t746))))))) % 6.61/6.87 (assume @p482 (forall @t363 (=> @t741 (forall @t736 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t237 @t254) @t109)) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t734 @t748)) (=> (forall @t499 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t237 @t497) @t245)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t68 @t747) @t246)))) @t746))))))) % 6.61/6.87 (assume @p483 (forall @t26 (=> @t744 (forall @t743 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t661 @t735)) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t68 @t254) @t261)) (=> (forall @t499 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t68 @t245) @t497)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t237 @t311) @t732)))) @t742))))))) % 6.61/6.87 (assume @p484 (forall @t26 (=> @t744 (forall @t750 (=> @t451 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t733 @t748) @t261)) (=> (forall @t499 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t237 @t245) @t497)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t348 @t747)))) @t749))))))) % 6.61/6.87 (assume @p485 (forall @t26 (=> @t744 (forall @t750 (=> @t662 (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t68 @t748) @t261)) (=> (forall @t499 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t660 @t245) @t497)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t2 @t21 @t733 @t246) @t747)))) @t749))))))) % 6.61/6.87 (assume @p486 (forall @t754 (=> @t103 (=> @t225 @t753)))) % 6.61/6.87 (assume @p487 (forall @t757 (= @t756 @t755))) % 6.61/6.87 (assume @p488 (forall @t754 (=> @t103 (=> @t225 @t756)))) % 6.61/6.87 (assume @p489 (forall @t757 (=> @t756 @t103))) % 6.61/6.87 (assume @p490 (forall @t757 (=> @t756 @t225))) % 6.61/6.87 (assume @p491 (forall (@list @t2 @t3 @t100 @t122) (= (= @t751 (tptp.bot_bot @t81)) (and @t356 (= (tptp.ti @t21 @t122) @t382))))) % 6.61/6.87 (assume @p492 (forall @t754 (and (=> @t755 @t753) (=> (not @t755) (= @t752 @t758))))) % 6.61/6.87 (assume @p493 (forall @t181 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t634 @t758))))) % 6.61/6.87 (assume @p494 (forall @t181 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t758) @t151)))) % 6.61/6.87 (assume @p495 (forall @t181 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t633 @t758) @t180)))) % 6.61/6.87 (assume @p496 (forall @t104 (=> @t253 (= @t115 @t758)))) % 6.61/6.87 (assume @p497 (forall @t30 (= (tptp.hAPP @t28 tptp.nat @t114 @t354) @t758))) % 6.61/6.87 (assume @p498 (forall @t15 (=> @t725 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t760 @t724))))) % 6.61/6.87 (assume @p499 (forall @t15 (=> @t725 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t65 @t64 @t724) @t759)))))) % 6.61/6.87 (assume @p500 (forall @t15 (=> @t725 (forall @t761 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t760 @t365)) (=> @t696 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t692 @t543)))))))) % 6.61/6.87 (assume @p501 (forall @t15 (=> @t725 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t65 @t335 @t724) @t759)))))) % 6.61/6.87 (assume @p502 (forall @t15 (=> @t725 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t762 @t724))))) % 6.61/6.87 (assume @p503 (forall @t15 (=> @t763 (not (= @t724 @t759))))) % 6.61/6.87 (assume @p504 (forall @t15 (=> @t763 (not (= @t759 @t724))))) % 6.61/6.87 (assume @p505 (forall @t30 (=> @t766 (forall @t372 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t764 @t765)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t764 @t109))))))) % 6.61/6.87 (assume @p506 (forall @t30 (=> @t766 (forall @t372 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t237 @t765) @t53)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t371 @t53))))))) % 6.61/6.87 (assume @p507 (forall @t15 (=> @t768 (forall @t694 (=> @t767 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t762 @t411)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t762 @t577)))))))) % 6.61/6.87 (assume @p508 (forall @t30 (=> (tptp.ordere216010020id_add @t3) (forall @t428 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t764 @t132)) (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t764 @t293)) (= (= (tptp.hAPP @t3 @t3 (tptp.hAPP @t3 @t37 @t529 @t132) @t293) @t53) (and @t769 (= @t298 @t53))))))))) % 6.61/6.87 (assume @p509 (forall @t15 (=> @t768 (forall @t761 (=> @t767 (=> @t422 @t770)))))) % 6.61/6.87 (assume @p510 (forall @t15 (=> @t768 (forall @t576 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t762 @t408)) (=> @t415 @t770)))))) % 6.61/6.87 (assume @p511 (forall @t15 (=> @t768 (forall @t694 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t367 @t759)) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t414 @t759)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t65 @t335 @t577) @t759)))))))) % 6.61/6.87 (assume @p512 (forall @t30 (=> @t456 (forall @t771 (= @t451 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t28 @t237 @t453) @t53))))))) % 6.61/6.87 (assume @p513 (forall @t205 (= (= @t775 @t772) @t774))) % 6.61/6.87 (assume @p514 (forall @t205 (= (= @t772 @t775) @t774))) % 6.61/6.87 (assume @p515 (forall @t161 (= (tptp.hAPP tptp.nat tptp.nat @t216 @t575) @t758))) % 6.61/6.87 (assume @p516 (forall @t185 (=> @t184 @t776))) % 6.61/6.87 (assume @p517 (forall @t205 (= (= (tptp.hAPP tptp.nat tptp.nat @t210 @t169) @t758) @t204))) % 6.61/6.87 (assume @p518 (= @t520 @t772)) % 6.61/6.87 (assume @p519 (forall @t185 (=> @t776 (=> (= (tptp.hAPP tptp.nat tptp.nat @t216 @t152) @t758) @t182)))) % 6.61/6.87 (assume @p520 (forall @t777 (= (tptp.hAPP tptp.nat tptp.nat @t154 @t152) @t758))) % 6.61/6.87 (assume @p521 (forall @t777 (= (tptp.hAPP tptp.nat tptp.nat @t154 @t758) @t152))) % 6.61/6.87 (assume @p522 (forall @t181 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 @t758) @t151) @t758))) % 6.61/6.87 (assume @p523 (forall @t15 (=> @t605 (forall @t368 (= (tptp.hAPP @t1 @t1 @t603 @t759) @t366))))) % 6.61/6.87 (assume @p524 (forall @t15 (=> @t605 (forall @t368 (= (tptp.hAPP @t1 @t1 @t603 @t365) @t759))))) % 6.61/6.87 (assume @p525 (forall @t30 (=> @t491 (forall @t771 (= @t272 @t778))))) % 6.61/6.87 (assume @p526 (forall @t30 (=> (tptp.group_add @t3) (forall @t771 (= @t778 @t272))))) % 6.61/6.87 (assume @p527 (forall @t777 (not (= @t156 @t758)))) % 6.61/6.87 (assume @p528 (forall @t777 (not (= @t758 @t156)))) % 6.61/6.87 (assume @p529 (forall (@list @t779) (not (= (tptp.hAPP tptp.nat tptp.nat tptp.suc @t779) @t758)))) % 6.61/6.87 (assume @p530 (forall (@list @t780) (not (= @t758 (tptp.hAPP tptp.nat tptp.nat tptp.suc @t780))))) % 6.61/6.87 (assume @p531 (forall @t30 (=> @t54 (forall @t361 (= (= @t53 @t297) @t769))))) % 6.61/6.87 (assume @p532 (= (tptp.bot_bot tptp.nat) @t758)) % 6.61/6.87 (assume @p533 (forall @t172 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t199 @t758)) @t773))) % 6.61/6.87 (assume @p534 (forall (@list @t3 @t624 @t623) (= (tptp.hAPP tptp.nat @t3 @t625 @t758) (tptp.ti @t3 @t624)))) % 6.61/6.87 (assume @p535 (forall @t15 (=> @t50 @t781))) % 6.61/6.87 (assume @p536 (forall @t15 (=> @t782 @t781))) % 6.61/6.87 (assume @p537 (forall @t30 (=> @t766 (forall @t372 (= (= @t53 @t765) (= @t271 @t53)))))) % 6.61/6.87 (assume @p538 (forall @t15 (=> @t50 @t783))) % 6.61/6.87 (assume @p539 (forall @t15 (=> @t782 @t783))) % 6.61/6.87 (assume @p540 (forall @t787 (=> (tptp.preorder @t784) (tptp.preorder @t786)))) % 6.61/6.87 (assume @p541 (forall @t787 (=> @t788 (tptp.finite_finite_1 @t786)))) % 6.61/6.87 (assume @p542 (forall @t787 (=> (tptp.order @t784) (tptp.order @t786)))) % 6.61/6.87 (assume @p543 (forall @t787 (=> (tptp.ord @t784) (tptp.ord @t786)))) % 6.61/6.87 (assume @p544 (forall @t787 (=> (tptp.bot @t784) (tptp.bot @t786)))) % 6.61/6.87 (assume @p545 (forall @t787 (=> (tptp.minus @t784) (tptp.minus @t786)))) % 6.61/6.87 (assume @p546 (tptp.ordere223160158up_add tptp.nat)) % 6.61/6.87 (assume @p547 (tptp.ordere236663937imp_le tptp.nat)) % 6.61/6.87 (assume @p548 (tptp.ordere779506340up_add tptp.nat)) % 6.61/6.87 (assume @p549 (tptp.ordere216010020id_add tptp.nat)) % 6.61/6.87 (assume @p550 (tptp.cancel146912293up_add tptp.nat)) % 6.61/6.87 (assume @p551 (tptp.cancel_semigroup_add tptp.nat)) % 6.61/6.87 (assume @p552 (tptp.linordered_semidom tptp.nat)) % 6.61/6.87 (assume @p553 (tptp.ab_semigroup_add tptp.nat)) % 6.61/6.87 (assume @p554 (tptp.comm_monoid_add tptp.nat)) % 6.61/6.87 (assume @p555 (tptp.zero_neq_one tptp.nat)) % 6.61/6.87 (assume @p556 (tptp.preorder tptp.nat)) % 6.61/6.87 (assume @p557 (tptp.linorder tptp.nat)) % 6.61/6.87 (assume @p558 (tptp.monoid_add tptp.nat)) % 6.61/6.87 (assume @p559 (tptp.order tptp.nat)) % 6.61/6.87 (assume @p560 (tptp.ord tptp.nat)) % 6.61/6.87 (assume @p561 (tptp.bot tptp.nat)) % 6.61/6.87 (assume @p562 (tptp.minus tptp.nat)) % 6.61/6.87 (assume @p563 (tptp.zero tptp.nat)) % 6.61/6.87 (assume @p564 (tptp.one tptp.nat)) % 6.61/6.87 (assume @p565 (tptp.preorder tptp.bool)) % 6.61/6.87 (assume @p566 (tptp.finite_finite_1 tptp.bool)) % 6.61/6.87 (assume @p567 (tptp.order tptp.bool)) % 6.61/6.87 (assume @p568 (tptp.ord tptp.bool)) % 6.61/6.87 (assume @p569 (tptp.bot tptp.bool)) % 6.61/6.87 (assume @p570 (tptp.minus tptp.bool)) % 6.61/6.87 (assume @p571 (forall @t787 (=> @t788 (tptp.finite_finite_1 (tptp.sum_sum @t785 @t784))))) % 6.61/6.87 (assume @p572 (forall (@list @t790 @t789) (= (tptp.ti @t790 @t791) @t791))) % 6.61/6.87 (assume @p573 (forall @t796 (or (not @t795) @t794))) % 6.61/6.87 (assume @p574 (forall @t796 (or @t793 @t795))) % 6.61/6.87 (assume @p575 (forall @t800 (= (tptp.hAPP @t1 @t2 (tptp.hAPP @t6 @t5 (tptp.hAPP @t8 @t7 @t4 @t792) @t798) @t797) (tptp.hAPP @t3 @t2 @t792 @t799)))) % 6.61/6.87 (assume @p576 (forall @t800 (= (tptp.hAPP @t1 @t2 (tptp.hAPP @t3 @t5 (tptp.hAPP @t11 @t10 @t9 @t792) @t798) @t797) (tptp.hAPP @t3 @t2 @t801 @t798)))) % 6.61/6.87 (assume @p577 (forall (@list @t1 @t792) (= (tptp.hAPP @t1 @t1 @t13 @t792) @t802))) % 6.61/6.87 (assume @p578 (forall (@list @t3 @t1 @t792 @t798) (= (tptp.hAPP @t3 @t1 (tptp.hAPP @t1 @t17 @t16 @t792) @t798) @t802))) % 6.61/6.87 (assume @p579 (forall @t800 (= (tptp.hAPP @t1 @t2 (tptp.hAPP @t6 @t5 (tptp.hAPP @t11 @t7 @t18 @t792) @t798) @t797) (tptp.hAPP @t3 @t2 @t801 @t799)))) % 6.61/6.87 (assume @p580 (forall @t806 (or @t794 @t805 @t803))) % 6.61/6.87 (assume @p581 (forall @t808 (or @t807 @t793))) % 6.61/6.87 (assume @p582 (forall @t808 (or @t807 @t804))) % 6.61/6.87 (assume @p583 (forall @t806 (or @t794 @t809))) % 6.61/6.87 (assume @p584 (forall @t808 (or @t805 @t809))) % 6.61/6.87 (assume @p585 (forall @t808 (or (not @t809) @t793 @t804))) % 6.61/6.87 (assume @p586 (not (tptp.hBOOL tptp.fFalse))) % 6.61/6.87 (assume @p587 (forall @t796 (or (= @t810 tptp.fTrue) (= @t810 tptp.fFalse)))) % 6.61/6.87 (assume @p588 (forall @t812 (or (not @t811) @t404))) % 6.61/6.87 (assume @p589 (forall @t812 (or @t689 @t811))) % 6.61/6.87 (assume @p590 (forall @t806 (or @t793 @t813))) % 6.61/6.87 (assume @p591 (forall @t808 (or @t805 @t813))) % 6.61/6.87 (assume @p592 (forall @t808 (or (not @t813) @t794 @t804))) % 6.61/6.87 (assume @p593 (tptp.hBOOL (tptp.hAPP @t94 tptp.bool (tptp.finite_finite tptp.pname) tptp.u))) % 6.61/6.87 (assume @p594 @t815) % 6.61/6.87 (assume @p595 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t120 @t119 @t818) @t817))) % 6.61/6.87 (assume @p596 (= (tptp.hAPP @t92 tptp.nat @t816 tptp.g) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t57 @t153 @t817) @t818))) % 6.61/6.87 (assume @p597 @t819) % 6.61/6.87 (assume @p598 (not (tptp.hBOOL (tptp.hAPP @t92 tptp.bool @t821 tptp.g)))) % 6.61/6.87 (assume @p599 (not @t822)) % 6.61/6.87 (assume @p600 true) % 6.61/6.87 (step @p601 :rule bool-impl-elim :args (@t138 @t316)) % 6.61/6.87 (step @p602 :rule cong :premises (@p601) :args (@t318)) % 6.61/6.87 (step @p603 :rule eq_resolve :premises (@p131 @p602)) % 6.61/6.87 (step @p604 :rule instantiate :premises (@p137) :args ((@list tptp.x_a @t820 tptp.g @t814))) % 6.61/6.87 (step @p605 :rule cnf_equiv_pos2 :args (@t825)) % 6.61/6.87 (step @p606 :rule reordering :premises (@p605) :args ((or @t822 @t826 (not @t825)))) % 6.61/6.87 (step @p607 :rule chain_m_resolution :premises (@p606 @p599 @p604) :args (@t826 @t827 (@list @t822 @t825))) % 6.61/6.87 (step @p608 :rule cnf_and_neg :args (@t824)) % 6.61/6.87 (step @p609 :rule reordering :premises (@p608) :args ((or (not @t815) @t824 @t828))) % 6.61/6.88 (step @p610 :rule chain_m_resolution :premises (@p609 @p594 @p607) :args (@t828 @t829 (@list @t815 @t824))) % 6.61/6.88 (step @p611 :rule cnf_or_pos :args (@t831)) % 6.61/6.88 (step @p612 :rule reordering :premises (@p611) :args ((or @t830 @t823 @t832))) % 6.61/6.88 (step @p613 :rule chain_m_resolution :premises (@p612 @p597 @p610) :args (@t832 @t829 (@list @t819 @t823))) % 6.61/6.88 (assume-push @p620 @t833) % 6.61/6.88 (step @p615 :rule instantiate :premises (@p603) :args ((@list tptp.x_a tptp.pname tptp.mgt_call tptp.pn tptp.u))) % 6.61/6.88 (step-pop @p621 :rule scope :premises (@p615)) % 6.61/6.88 (step @p616 :rule process_scope :premises (@p621) :args (@t831)) % 6.61/6.88 (step @p618 :rule implies_elim :premises (@p616)) % 6.61/6.88 (step @p619 false :rule chain_m_resolution :premises (@p618 @p613 @p603) :args (false @t827 (@list @t831 @t833))) % 6.61/6.88 ) % 6.61/6.88 % SZS output end Proof % 6.61/6.88 % cvc5 exiting %------------------------------------------------------------------------------