%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP053^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:24:55 AM UTC 2026 % Result : Theorem 0.40s 0.81s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP053^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n016.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 04:12:54 EDT 2026 % 0.15/0.34 % CPUTime : % 0.38/0.56 %----Proving TH0 % 0.40/0.81 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.81 % SZS status Theorem % 0.40/0.81 % SZS output start Proof % 0.40/0.81 ( % 0.40/0.81 (declare-sort tptp.nat 0) % 0.40/0.81 (declare-sort tptp.product_prod_nat_nat 0) % 0.40/0.81 (declare-sort tptp.produc1190591575at_nat 0) % 0.40/0.81 (declare-sort tptp.produc1864880952at_nat 0) % 0.40/0.81 (declare-sort tptp.produc1695820582at_nat 0) % 0.40/0.81 (declare-sort tptp.produc1271302400at_nat 0) % 0.40/0.81 (declare-sort tptp.produc787001653at_nat 0) % 0.40/0.81 (declare-sort tptp.produc2082277813at_nat 0) % 0.40/0.81 (declare-sort tptp.set_Pr1986765409at_nat 0) % 0.40/0.81 (declare-sort tptp.capacity 0) % 0.40/0.81 (declare-sort tptp.list_P559422087at_nat 0) % 0.40/0.81 (declare-const tptp.size_s1990949619at_nat (-> tptp.list_P559422087at_nat tptp.nat)) % 0.40/0.81 (declare-const tptp.isPath_capacity (-> (-> tptp.product_prod_nat_nat tptp.capacity) tptp.nat tptp.list_P559422087at_nat tptp.nat Bool)) % 0.40/0.81 (declare-const tptp.plus_plus_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.40/0.81 (declare-const tptp.nil_Pr1308055047at_nat tptp.list_P559422087at_nat) % 0.40/0.81 (declare-const tptp.produc696256106at_nat (-> (-> tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.produc1190591575at_nat tptp.produc1864880952at_nat)) % 0.40/0.81 (declare-const tptp.produc869658639at_nat (-> tptp.nat tptp.produc1695820582at_nat tptp.produc1190591575at_nat)) % 0.40/0.81 (declare-const tptp.p3 tptp.list_P559422087at_nat) % 0.40/0.81 (declare-const tptp.p tptp.list_P559422087at_nat) % 0.40/0.81 (declare-const tptp.v tptp.nat) % 0.40/0.81 (declare-const tptp.produc365964781at_nat (-> tptp.produc1695820582at_nat (-> tptp.nat tptp.nat tptp.nat) tptp.produc787001653at_nat)) % 0.40/0.81 (declare-const tptp.u tptp.nat) % 0.40/0.81 (declare-const tptp.produc1933845336at_nat (-> tptp.nat tptp.product_prod_nat_nat tptp.produc1695820582at_nat)) % 0.40/0.81 (declare-const tptp.min_dist_capacity (-> (-> tptp.product_prod_nat_nat tptp.capacity) tptp.nat tptp.nat tptp.nat)) % 0.40/0.81 (declare-const tptp.c (-> tptp.product_prod_nat_nat tptp.capacity)) % 0.40/0.81 (declare-const tptp.produc1682925677at_nat (-> (-> tptp.nat tptp.nat tptp.nat) tptp.produc1695820582at_nat tptp.produc2082277813at_nat)) % 0.40/0.81 (declare-const tptp.s tptp.nat) % 0.40/0.81 (declare-const tptp.product_Pair_nat_nat (-> tptp.nat tptp.nat tptp.product_prod_nat_nat)) % 0.40/0.81 (declare-const tptp.t tptp.nat) % 0.40/0.81 (declare-const tptp.p1 tptp.list_P559422087at_nat) % 0.40/0.81 (declare-const tptp.one_one_nat tptp.nat) % 0.40/0.81 (declare-const tptp.product_swap_nat_nat (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) % 0.40/0.81 (declare-const tptp.p2 tptp.list_P559422087at_nat) % 0.40/0.81 (declare-const tptp.set_Pr2131844118at_nat (-> tptp.list_P559422087at_nat tptp.set_Pr1986765409at_nat)) % 0.40/0.81 (declare-const tptp.member701585322at_nat (-> tptp.product_prod_nat_nat tptp.set_Pr1986765409at_nat Bool)) % 0.40/0.81 (declare-const tptp.collec7649004at_nat (-> (-> tptp.product_prod_nat_nat Bool) tptp.set_Pr1986765409at_nat)) % 0.40/0.81 (declare-const tptp.isSimp1359852763pacity (-> (-> tptp.product_prod_nat_nat tptp.capacity) tptp.nat tptp.list_P559422087at_nat tptp.nat Bool)) % 0.40/0.81 (declare-const tptp.produc411855757at_nat (-> tptp.produc787001653at_nat tptp.produc2082277813at_nat)) % 0.40/0.81 (declare-const tptp.produc947540346at_nat (-> tptp.product_prod_nat_nat tptp.nat tptp.produc1271302400at_nat)) % 0.40/0.81 (declare-const tptp.produc2019146714at_nat (-> tptp.produc1271302400at_nat tptp.produc1695820582at_nat)) % 0.40/0.81 (declare-const tptp.produc1728816653at_nat (-> tptp.produc2082277813at_nat tptp.produc787001653at_nat)) % 0.40/0.81 (declare-const tptp.produc857968056at_nat (-> tptp.produc1695820582at_nat tptp.produc1271302400at_nat)) % 0.40/0.81 (define tptp.dist_capacity () (let ((_let_1 (@var "D3" tptp.nat))) (let ((_let_2 (@var "P2" tptp.list_P559422087at_nat))) (let ((_let_3 (@var "V4" tptp.nat))) (let ((_let_4 (@var "V3" tptp.nat))) (let ((_let_5 (@var "C2" (-> tptp.product_prod_nat_nat tptp.capacity)))) (lambda (@list _let_5 _let_4 _let_1 _let_3) (exists (@list _let_2) (and (_ (_ (_ (_ tptp.isPath_capacity _let_5) _let_4) _let_2) _let_3) (= (_ tptp.size_s1990949619at_nat _let_2) _let_1)))))))))) % 0.40/0.81 (define tptp.connected_capacity () (let ((_let_1 (@var "V3" tptp.nat))) (let ((_let_2 (@var "P2" tptp.list_P559422087at_nat))) (let ((_let_3 (@var "U3" tptp.nat))) (let ((_let_4 (@var "C2" (-> tptp.product_prod_nat_nat tptp.capacity)))) (lambda (@list _let_4 _let_3 _let_1) (exists (@list _let_2) (_ (_ (_ (_ tptp.isPath_capacity _let_4) _let_3) _let_2) _let_1)))))))) % 0.40/0.81 (define tptp.ord_less_eq_nat () (let ((_let_1 (@var "C2" tptp.nat))) (let ((_let_2 (@var "A2" tptp.nat))) (let ((_let_3 (@var "B2" tptp.nat))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (= _let_3 (_ (_ tptp.plus_plus_nat _let_2) _let_1)))))))) % 0.40/0.81 (define tptp.isShor1936442771pacity () (let ((_let_1 (@var "P5" tptp.list_P559422087at_nat))) (let ((_let_2 (@var "P2" tptp.list_P559422087at_nat))) (let ((_let_3 (@var "V3" tptp.nat))) (let ((_let_4 (@var "U3" tptp.nat))) (let ((_let_5 (@var "C2" (-> tptp.product_prod_nat_nat tptp.capacity)))) (let ((_let_6 (_ (_ tptp.isPath_capacity _let_5) _let_4))) (lambda (@list _let_5 _let_4 _let_2 _let_3) (and (_ (_ _let_6 _let_2) _let_3) (forall (@list _let_1) (=> (_ (_ _let_6 _let_1) _let_3) (_ (_ tptp.ord_less_eq_nat (_ tptp.size_s1990949619at_nat _let_2)) (_ tptp.size_s1990949619at_nat _let_1))))))))))))) % 0.40/0.81 (define tptp.ord_less_nat () (let ((_let_1 (@var "N2" tptp.nat))) (let ((_let_2 (@var "M2" tptp.nat))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.ord_less_eq_nat _let_2) _let_1) (not (= _let_2 _let_1))))))) % 0.40/0.81 (define @t1 () (_ tptp.size_s1990949619at_nat tptp.p2)) % 0.40/0.81 (define @t2 () (_ tptp.size_s1990949619at_nat tptp.p1)) % 0.40/0.81 (define @t3 () (_ tptp.plus_plus_nat @t2)) % 0.40/0.81 (define @t4 () (_ @t3 tptp.one_one_nat)) % 0.40/0.81 (define @t5 () (_ (_ tptp.plus_plus_nat @t4) @t1)) % 0.40/0.81 (define @t6 () (_ tptp.min_dist_capacity tptp.c)) % 0.40/0.81 (define @t7 () (_ @t6 tptp.s)) % 0.40/0.81 (define @t8 () (_ @t7 tptp.t)) % 0.40/0.81 (define @t9 () (= @t8 @t5)) % 0.40/0.81 (define @t10 () (_ tptp.plus_plus_nat tptp.one_one_nat)) % 0.40/0.81 (define @t11 () (_ @t10 @t1)) % 0.40/0.81 (define @t12 () (_ @t3 @t11)) % 0.40/0.81 (define @t13 () (= @t8 @t12)) % 0.40/0.81 (define @t14 () (_ (_ @t6 tptp.u) tptp.t)) % 0.40/0.81 (define @t15 () (= @t14 @t11)) % 0.40/0.81 (define @t16 () (=> @t13 @t15)) % 0.40/0.81 (define @t17 () (@var "D2" tptp.nat)) % 0.40/0.81 (define @t18 () (@var "V" tptp.nat)) % 0.40/0.81 (define @t19 () (@var "W" tptp.nat)) % 0.40/0.81 (define @t20 () (@var "D1" tptp.nat)) % 0.40/0.81 (define @t21 () (_ (_ tptp.plus_plus_nat @t20) @t17)) % 0.40/0.81 (define @t22 () (@var "U" tptp.nat)) % 0.40/0.81 (define @t23 () (_ @t6 @t22)) % 0.40/0.81 (define @t24 () (_ @t23 @t18)) % 0.40/0.81 (define @t25 () (= @t24 @t21)) % 0.40/0.81 (define @t26 () (_ tptp.dist_capacity tptp.c)) % 0.40/0.81 (define @t27 () (_ (_ (_ @t26 @t19) @t17) @t18)) % 0.40/0.81 (define @t28 () (_ @t26 @t22)) % 0.40/0.81 (define @t29 () (_ (_ @t28 @t20) @t19)) % 0.40/0.81 (define @t30 () (@list @t22 @t20 @t19 @t17 @t18)) % 0.40/0.81 (define @t31 () (@var "C" tptp.nat)) % 0.40/0.81 (define @t32 () (@var "B" tptp.nat)) % 0.40/0.81 (define @t33 () (= @t32 @t31)) % 0.40/0.81 (define @t34 () (@var "A" tptp.nat)) % 0.40/0.81 (define @t35 () (_ tptp.plus_plus_nat @t34)) % 0.40/0.81 (define @t36 () (_ @t35 @t31)) % 0.40/0.81 (define @t37 () (_ @t35 @t32)) % 0.40/0.81 (define @t38 () (= @t37 @t36)) % 0.40/0.81 (define @t39 () (@list @t34 @t32 @t31)) % 0.40/0.81 (define @t40 () (_ tptp.plus_plus_nat @t31)) % 0.40/0.81 (define @t41 () (_ @t40 @t34)) % 0.40/0.81 (define @t42 () (_ tptp.plus_plus_nat @t32)) % 0.40/0.81 (define @t43 () (= (_ @t42 @t34) @t41)) % 0.40/0.81 (define @t44 () (@list @t32 @t34 @t31)) % 0.40/0.81 (define @t45 () (_ tptp.isPath_capacity tptp.c)) % 0.40/0.81 (define @t46 () (_ @t45 tptp.s)) % 0.40/0.81 (define @t47 () (@var "P" tptp.list_P559422087at_nat)) % 0.40/0.81 (define @t48 () (_ tptp.size_s1990949619at_nat @t47)) % 0.40/0.81 (define @t49 () (_ @t45 @t22)) % 0.40/0.81 (define @t50 () (_ (_ @t49 @t47) @t18)) % 0.40/0.81 (define @t51 () (@list @t22 @t47 @t18)) % 0.40/0.81 (define @t52 () (@var "D" tptp.nat)) % 0.40/0.81 (define @t53 () (@var "P2" tptp.list_P559422087at_nat)) % 0.40/0.81 (define @t54 () (_ tptp.size_s1990949619at_nat @t53)) % 0.40/0.81 (define @t55 () (@var "V2" tptp.nat)) % 0.40/0.81 (define @t56 () (@list @t53)) % 0.40/0.81 (define @t57 () (_ @t26 @t18)) % 0.40/0.81 (define @t58 () (_ (_ @t57 @t52) @t55)) % 0.40/0.81 (define @t59 () (@list @t18 @t52 @t55)) % 0.40/0.81 (define @t60 () (_ tptp.isShor1936442771pacity tptp.c)) % 0.40/0.81 (define @t61 () (_ @t42 @t31)) % 0.40/0.81 (define @t62 () (_ @t35 @t61)) % 0.40/0.81 (define @t63 () (@var "A2" tptp.nat)) % 0.40/0.81 (define @t64 () (@var "B2" tptp.nat)) % 0.40/0.81 (define @t65 () (@list @t63 @t64)) % 0.40/0.81 (define @t66 () (_ (_ tptp.plus_plus_nat @t37) @t31)) % 0.40/0.81 (define @t67 () (forall @t39 (= @t66 @t62))) % 0.40/0.81 (define @t68 () (@var "K" tptp.nat)) % 0.40/0.81 (define @t69 () (_ tptp.plus_plus_nat @t68)) % 0.40/0.81 (define @t70 () (_ @t69 @t37)) % 0.40/0.81 (define @t71 () (@var "B3" tptp.nat)) % 0.40/0.81 (define @t72 () (@var "A3" tptp.nat)) % 0.40/0.81 (define @t73 () (@var "L" tptp.nat)) % 0.40/0.81 (define @t74 () (@var "J" tptp.nat)) % 0.40/0.81 (define @t75 () (_ tptp.plus_plus_nat @t74)) % 0.40/0.81 (define @t76 () (_ @t75 @t73)) % 0.40/0.81 (define @t77 () (@var "I" tptp.nat)) % 0.40/0.81 (define @t78 () (_ tptp.plus_plus_nat @t77)) % 0.40/0.81 (define @t79 () (_ @t78 @t68)) % 0.40/0.81 (define @t80 () (= @t68 @t73)) % 0.40/0.81 (define @t81 () (= @t77 @t74)) % 0.40/0.81 (define @t82 () (@list @t77 @t74 @t68 @t73)) % 0.40/0.81 (define @t83 () (@var "X" tptp.nat)) % 0.40/0.81 (define @t84 () (@list @t83)) % 0.40/0.81 (define @t85 () (= @t48 @t24)) % 0.40/0.81 (define @t86 () (_ @t60 @t22)) % 0.40/0.81 (define @t87 () (_ (_ @t86 @t47) @t18)) % 0.40/0.81 (define @t88 () (@var "C" (-> tptp.product_prod_nat_nat tptp.capacity))) % 0.40/0.81 (define @t89 () (_ tptp.dist_capacity @t88)) % 0.40/0.81 (define @t90 () (_ @t89 @t22)) % 0.40/0.81 (define @t91 () (_ tptp.isPath_capacity @t88)) % 0.40/0.81 (define @t92 () (_ @t91 @t22)) % 0.40/0.81 (define @t93 () (_ (_ @t92 @t47) @t18)) % 0.40/0.81 (define @t94 () (@list @t88 @t22 @t47 @t18)) % 0.40/0.81 (define @t95 () (_ @t6 @t18)) % 0.40/0.81 (define @t96 () (_ @t95 @t55)) % 0.40/0.81 (define @t97 () (@var "D4" tptp.nat)) % 0.40/0.81 (define @t98 () (_ (_ tptp.ord_less_eq_nat @t52) @t97)) % 0.40/0.81 (define @t99 () (@list @t97)) % 0.40/0.81 (define @t100 () (_ tptp.min_dist_capacity @t88)) % 0.40/0.81 (define @t101 () (_ @t100 @t22)) % 0.40/0.81 (define @t102 () (= (_ @t101 @t18) @t21)) % 0.40/0.81 (define @t103 () (_ (_ (_ @t89 @t19) @t17) @t18)) % 0.40/0.81 (define @t104 () (_ (_ @t90 @t20) @t19)) % 0.40/0.81 (define @t105 () (@list @t88 @t22 @t20 @t19 @t17 @t18)) % 0.40/0.81 (define @t106 () (_ tptp.connected_capacity tptp.c)) % 0.40/0.81 (define @t107 () (_ @t106 @t18)) % 0.40/0.81 (define @t108 () (_ @t107 @t55)) % 0.40/0.81 (define @t109 () (@list @t18 @t55)) % 0.40/0.81 (define @t110 () (_ (_ @t106 @t22) @t18)) % 0.40/0.81 (define @t111 () (@list @t22 @t18)) % 0.40/0.81 (define @t112 () (@var "D3" tptp.nat)) % 0.40/0.81 (define @t113 () (@list @t112)) % 0.40/0.81 (define @t114 () (@var "A" tptp.product_prod_nat_nat)) % 0.40/0.81 (define @t115 () (@var "P3" (-> tptp.product_prod_nat_nat Bool))) % 0.40/0.81 (define @t116 () (_ tptp.collec7649004at_nat @t115)) % 0.40/0.81 (define @t117 () (@var "A3" tptp.set_Pr1986765409at_nat)) % 0.40/0.81 (define @t118 () (@var "X2" tptp.product_prod_nat_nat)) % 0.40/0.81 (define @t119 () (@var "Q" (-> tptp.product_prod_nat_nat Bool))) % 0.40/0.81 (define @t120 () (@var "X3" tptp.product_prod_nat_nat)) % 0.40/0.81 (define @t121 () (@var "P4" tptp.list_P559422087at_nat)) % 0.40/0.81 (define @t122 () (@list @t121)) % 0.40/0.81 (define @t123 () (_ tptp.set_Pr2131844118at_nat @t47)) % 0.40/0.81 (define @t124 () (@var "U1" tptp.nat)) % 0.40/0.81 (define @t125 () (@var "U2" tptp.nat)) % 0.40/0.81 (define @t126 () (@var "V1" tptp.nat)) % 0.40/0.81 (define @t127 () (_ tptp.product_Pair_nat_nat @t124)) % 0.40/0.81 (define @t128 () (_ (_ tptp.member701585322at_nat (_ @t127 @t126)) @t123)) % 0.40/0.81 (define @t129 () (=> @t128 (=> (not (= @t124 @t22)) (exists (@list @t125) (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat @t125) @t124)) @t123))))) % 0.40/0.81 (define @t130 () (@list @t22 @t47 @t18 @t124 @t126)) % 0.40/0.81 (define @t131 () (@var "V22" tptp.nat)) % 0.40/0.81 (define @t132 () (=> @t128 (=> (not (= @t126 @t18)) (exists (@list @t131) (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat @t126) @t131)) @t123))))) % 0.40/0.81 (define @t133 () (@var "D5" tptp.nat)) % 0.40/0.81 (define @t134 () (@var "V5" tptp.nat)) % 0.40/0.81 (define @t135 () (@var "Src" tptp.nat)) % 0.40/0.81 (define @t136 () (_ @t6 @t135)) % 0.40/0.81 (define @t137 () (_ @t106 @t135)) % 0.40/0.81 (define @t138 () (@list @t134)) % 0.40/0.81 (define @t139 () (exists @t138 (and (_ @t137 @t134) (= (_ @t136 @t134) @t133)))) % 0.40/0.81 (define @t140 () (_ @t136 @t18)) % 0.40/0.81 (define @t141 () (_ tptp.ord_less_eq_nat @t133)) % 0.40/0.81 (define @t142 () (_ @t137 @t18)) % 0.40/0.81 (define @t143 () (@var "Q" (-> tptp.nat Bool))) % 0.40/0.81 (define @t144 () (@var "D6" tptp.nat)) % 0.40/0.81 (define @t145 () (_ @t143 @t144)) % 0.40/0.81 (define @t146 () (@var "D7" tptp.nat)) % 0.40/0.81 (define @t147 () (_ (_ tptp.ord_less_eq_nat @t144) @t146)) % 0.40/0.81 (define @t148 () (@list @t146)) % 0.40/0.81 (define @t149 () (@list @t144)) % 0.40/0.81 (define @t150 () (@var "P5" tptp.list_P559422087at_nat)) % 0.40/0.81 (define @t151 () (_ tptp.size_s1990949619at_nat @t150)) % 0.40/0.81 (define @t152 () (@list @t150)) % 0.40/0.81 (define @t153 () (@var "S" tptp.nat)) % 0.40/0.81 (define @t154 () (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat @t22) @t18)) @t123)) % 0.40/0.81 (define @t155 () (@var "T" tptp.nat)) % 0.40/0.81 (define @t156 () (_ (_ (_ @t60 @t153) @t47) @t155)) % 0.40/0.81 (define @t157 () (@list @t153 @t47 @t155 @t22 @t18)) % 0.40/0.81 (define @t158 () (_ tptp.ord_less_eq_nat @t34)) % 0.40/0.81 (define @t159 () (_ @t158 @t32)) % 0.40/0.81 (define @t160 () (_ @t40 @t32)) % 0.40/0.81 (define @t161 () (_ (_ tptp.ord_less_eq_nat @t41) @t160)) % 0.40/0.81 (define @t162 () (@list @t31 @t34 @t32)) % 0.40/0.81 (define @t163 () (_ tptp.ord_less_eq_nat @t36)) % 0.40/0.81 (define @t164 () (_ @t163 @t61)) % 0.40/0.81 (define @t165 () (@list @t34 @t31 @t32)) % 0.40/0.81 (define @t166 () (_ @t95 @t155)) % 0.40/0.81 (define @t167 () (_ @t6 @t153)) % 0.40/0.81 (define @t168 () (_ (_ tptp.plus_plus_nat (_ @t167 @t22)) tptp.one_one_nat)) % 0.40/0.81 (define @t169 () (@list @t88 @t22 @t47 @t18 @t124 @t126)) % 0.40/0.81 (define @t170 () (_ tptp.isShor1936442771pacity @t88)) % 0.40/0.81 (define @t171 () (_ @t170 @t22)) % 0.40/0.81 (define @t172 () (_ tptp.connected_capacity @t88)) % 0.40/0.81 (define @t173 () (_ (_ @t172 @t22) @t18)) % 0.40/0.81 (define @t174 () (@list @t88 @t22 @t18)) % 0.40/0.81 (define @t175 () (_ @t172 @t18)) % 0.40/0.81 (define @t176 () (_ @t100 @t135)) % 0.40/0.81 (define @t177 () (_ @t172 @t135)) % 0.40/0.81 (define @t178 () (exists @t138 (and (_ @t177 @t134) (= (_ @t176 @t134) @t133)))) % 0.40/0.81 (define @t179 () (_ @t176 @t18)) % 0.40/0.81 (define @t180 () (_ @t177 @t18)) % 0.40/0.81 (define @t181 () (_ (_ (_ @t170 @t153) @t47) @t155)) % 0.40/0.81 (define @t182 () (@list @t88 @t153 @t47 @t155 @t22 @t18)) % 0.40/0.81 (define @t183 () (@var "V4" tptp.nat)) % 0.40/0.81 (define @t184 () (@var "V3" tptp.nat)) % 0.40/0.81 (define @t185 () (@var "C2" (-> tptp.product_prod_nat_nat tptp.capacity))) % 0.40/0.81 (define @t186 () (_ @t175 @t55)) % 0.40/0.81 (define @t187 () (_ @t89 @t18)) % 0.40/0.81 (define @t188 () (_ (_ @t187 @t52) @t55)) % 0.40/0.81 (define @t189 () (@list @t88 @t18 @t52 @t55)) % 0.40/0.81 (define @t190 () (_ @t100 @t18)) % 0.40/0.81 (define @t191 () (_ @t190 @t155)) % 0.40/0.81 (define @t192 () (_ @t100 @t153)) % 0.40/0.81 (define @t193 () (_ (_ tptp.plus_plus_nat (_ @t192 @t22)) tptp.one_one_nat)) % 0.40/0.81 (define @t194 () (_ @t190 @t55)) % 0.40/0.81 (define @t195 () (_ tptp.ord_less_eq_nat @t79)) % 0.40/0.81 (define @t196 () (_ @t195 @t76)) % 0.40/0.81 (define @t197 () (_ tptp.ord_less_eq_nat @t77)) % 0.40/0.81 (define @t198 () (_ @t197 @t74)) % 0.40/0.81 (define @t199 () (_ tptp.ord_less_eq_nat @t68)) % 0.40/0.81 (define @t200 () (_ @t199 @t73)) % 0.40/0.81 (define @t201 () (_ @t42 @t52)) % 0.40/0.81 (define @t202 () (_ tptp.ord_less_eq_nat @t31)) % 0.40/0.81 (define @t203 () (_ @t202 @t52)) % 0.40/0.81 (define @t204 () (@list @t34 @t32 @t31 @t52)) % 0.40/0.81 (define @t205 () (@var "C3" tptp.nat)) % 0.40/0.81 (define @t206 () (@list @t34 @t32)) % 0.40/0.81 (define @t207 () (@var "U3" tptp.nat)) % 0.40/0.81 (define @t208 () (= @t54 (_ (_ (_ tptp.min_dist_capacity @t185) @t207) @t184))) % 0.40/0.81 (define @t209 () (_ tptp.isPath_capacity @t185)) % 0.40/0.81 (define @t210 () (_ @t209 @t207)) % 0.40/0.81 (define @t211 () (_ (_ @t210 @t53) @t184)) % 0.40/0.81 (define @t212 () (@list @t185 @t207 @t53 @t184)) % 0.40/0.81 (define @t213 () (@var "N" tptp.nat)) % 0.40/0.81 (define @t214 () (@var "M" tptp.nat)) % 0.40/0.81 (define @t215 () (_ (_ tptp.ord_less_eq_nat @t214) @t213)) % 0.40/0.81 (define @t216 () (_ @t69 @t213)) % 0.40/0.81 (define @t217 () (_ @t69 @t214)) % 0.40/0.81 (define @t218 () (@list @t68 @t214 @t213)) % 0.40/0.81 (define @t219 () (_ tptp.isSimp1359852763pacity tptp.c)) % 0.40/0.81 (define @t220 () (_ (_ (_ @t219 @t22) @t47) @t18)) % 0.40/0.81 (define @t221 () (_ (_ tptp.ord_less_nat @t133) @t52)) % 0.40/0.81 (define @t222 () (not (_ (_ tptp.member701585322at_nat (_ @t127 @t124)) @t123))) % 0.40/0.81 (define @t223 () (@var "U22" tptp.nat)) % 0.40/0.81 (define @t224 () (=> @t128 (=> (not (= @t124 @t223)) (not (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat @t223) @t126)) @t123))))) % 0.40/0.81 (define @t225 () (@var "V23" tptp.nat)) % 0.40/0.81 (define @t226 () (=> @t128 (=> (not (= @t126 @t225)) (not (_ (_ tptp.member701585322at_nat (_ @t127 @t225)) @t123))))) % 0.40/0.81 (define @t227 () (@var "B4" tptp.produc1695820582at_nat)) % 0.40/0.81 (define @t228 () (@var "B" tptp.produc1695820582at_nat)) % 0.40/0.81 (define @t229 () (= @t228 @t227)) % 0.40/0.81 (define @t230 () (@var "A4" (-> tptp.nat tptp.nat tptp.nat))) % 0.40/0.81 (define @t231 () (@var "A" (-> tptp.nat tptp.nat tptp.nat))) % 0.40/0.81 (define @t232 () (= @t231 @t230)) % 0.40/0.81 (define @t233 () (= (_ (_ tptp.produc1682925677at_nat @t231) @t228) (_ (_ tptp.produc1682925677at_nat @t230) @t227))) % 0.40/0.81 (define @t234 () (@list @t231 @t228 @t230 @t227)) % 0.40/0.81 (define @t235 () (@var "B4" tptp.product_prod_nat_nat)) % 0.40/0.81 (define @t236 () (@var "B" tptp.product_prod_nat_nat)) % 0.40/0.81 (define @t237 () (= @t236 @t235)) % 0.40/0.81 (define @t238 () (@var "A4" tptp.nat)) % 0.40/0.81 (define @t239 () (= @t34 @t238)) % 0.40/0.81 (define @t240 () (= (_ (_ tptp.produc1933845336at_nat @t34) @t236) (_ (_ tptp.produc1933845336at_nat @t238) @t235))) % 0.40/0.81 (define @t241 () (@list @t34 @t236 @t238 @t235)) % 0.40/0.81 (define @t242 () (@var "B4" tptp.nat)) % 0.40/0.81 (define @t243 () (= @t32 @t242)) % 0.40/0.81 (define @t244 () (= (_ (_ tptp.product_Pair_nat_nat @t34) @t32) (_ (_ tptp.product_Pair_nat_nat @t238) @t242))) % 0.40/0.81 (define @t245 () (@list @t34 @t32 @t238 @t242)) % 0.40/0.81 (define @t246 () (@var "Y2" tptp.produc1695820582at_nat)) % 0.40/0.81 (define @t247 () (@var "X22" tptp.produc1695820582at_nat)) % 0.40/0.81 (define @t248 () (@var "Y1" (-> tptp.nat tptp.nat tptp.nat))) % 0.40/0.81 (define @t249 () (@var "X1" (-> tptp.nat tptp.nat tptp.nat))) % 0.40/0.81 (define @t250 () (@var "Y2" tptp.product_prod_nat_nat)) % 0.40/0.81 (define @t251 () (@var "X22" tptp.product_prod_nat_nat)) % 0.40/0.81 (define @t252 () (@var "Y1" tptp.nat)) % 0.40/0.81 (define @t253 () (@var "X1" tptp.nat)) % 0.40/0.81 (define @t254 () (= @t253 @t252)) % 0.40/0.81 (define @t255 () (@var "Y2" tptp.nat)) % 0.40/0.81 (define @t256 () (@var "X22" tptp.nat)) % 0.40/0.81 (define @t257 () (@var "P6" tptp.list_P559422087at_nat)) % 0.40/0.81 (define @t258 () (_ @t219 @t153)) % 0.40/0.81 (define @t259 () (@list @t257)) % 0.40/0.81 (define @t260 () (@list @t153 @t47 @t155)) % 0.40/0.81 (define @t261 () (_ @t258 @t47)) % 0.40/0.81 (define @t262 () (_ @t261 @t155)) % 0.40/0.81 (define @t263 () (_ tptp.ord_less_nat @t34)) % 0.40/0.81 (define @t264 () (_ @t263 @t32)) % 0.40/0.81 (define @t265 () (_ tptp.ord_less_nat @t36)) % 0.40/0.81 (define @t266 () (_ @t265 @t61)) % 0.40/0.81 (define @t267 () (_ (_ tptp.ord_less_nat @t41) @t160)) % 0.40/0.81 (define @t268 () (_ (_ tptp.ord_less_nat @t214) @t213)) % 0.40/0.81 (define @t269 () (@var "F" (-> tptp.nat tptp.nat))) % 0.40/0.81 (define @t270 () (@var "J2" tptp.nat)) % 0.40/0.81 (define @t271 () (@var "I2" tptp.nat)) % 0.40/0.81 (define @t272 () (= @t214 @t213)) % 0.40/0.81 (define @t273 () (not @t272)) % 0.40/0.81 (define @t274 () (@list @t214 @t213)) % 0.40/0.81 (define @t275 () (@var "N2" tptp.nat)) % 0.40/0.81 (define @t276 () (@var "M2" tptp.nat)) % 0.40/0.81 (define @t277 () (= @t276 @t275)) % 0.40/0.81 (define @t278 () (_ (_ tptp.ord_less_nat @t276) @t275)) % 0.40/0.81 (define @t279 () (@list @t276 @t275)) % 0.40/0.81 (define @t280 () (_ tptp.ord_less_nat @t77)) % 0.40/0.81 (define @t281 () (_ tptp.ord_less_nat (_ @t78 @t74))) % 0.40/0.81 (define @t282 () (@list @t77 @t74 @t68)) % 0.40/0.81 (define @t283 () (_ tptp.ord_less_nat @t79)) % 0.40/0.81 (define @t284 () (_ @t283 @t76)) % 0.40/0.81 (define @t285 () (_ (_ tptp.ord_less_nat @t68) @t73)) % 0.40/0.81 (define @t286 () (_ @t280 @t74)) % 0.40/0.81 (define @t287 () (_ @t75 @t68)) % 0.40/0.81 (define @t288 () (_ @t75 @t214)) % 0.40/0.81 (define @t289 () (@list @t77 @t74 @t214)) % 0.40/0.81 (define @t290 () (_ tptp.plus_plus_nat @t214)) % 0.40/0.81 (define @t291 () (_ @t290 @t74)) % 0.40/0.81 (define @t292 () (_ tptp.ord_less_nat @t213)) % 0.40/0.81 (define @t293 () (_ @t292 @t214)) % 0.40/0.81 (define @t294 () (@list @t213)) % 0.40/0.81 (define @t295 () (@list @t213 @t214)) % 0.40/0.81 (define @t296 () (= @t153 @t155)) % 0.40/0.81 (define @t297 () (@list @t153 @t155)) % 0.40/0.81 (define @t298 () (@var "P3" (-> tptp.nat Bool))) % 0.40/0.81 (define @t299 () (_ @t298 @t213)) % 0.40/0.81 (define @t300 () (@var "N3" tptp.nat)) % 0.40/0.81 (define @t301 () (_ @t298 @t300)) % 0.40/0.81 (define @t302 () (@var "M3" tptp.nat)) % 0.40/0.81 (define @t303 () (_ @t298 @t302)) % 0.40/0.81 (define @t304 () (_ (_ tptp.ord_less_nat @t302) @t300)) % 0.40/0.81 (define @t305 () (@list @t302)) % 0.40/0.81 (define @t306 () (@list @t300)) % 0.40/0.81 (define @t307 () (@list @t298 @t213)) % 0.40/0.81 (define @t308 () (@var "Y" tptp.nat)) % 0.40/0.81 (define @t309 () (_ (_ tptp.ord_less_nat @t308) @t83)) % 0.40/0.81 (define @t310 () (_ (_ tptp.ord_less_nat @t83) @t308)) % 0.40/0.81 (define @t311 () (not @t310)) % 0.40/0.81 (define @t312 () (= @t83 @t308)) % 0.40/0.81 (define @t313 () (not @t312)) % 0.40/0.81 (define @t314 () (@list @t83 @t308)) % 0.40/0.81 (define @t315 () (_ @t265 @t201)) % 0.40/0.81 (define @t316 () (_ tptp.ord_less_nat @t31)) % 0.40/0.81 (define @t317 () (=> (_ @t316 @t52) @t315)) % 0.40/0.81 (define @t318 () (_ @t290 @t68)) % 0.40/0.81 (define @t319 () (@var "M4" tptp.nat)) % 0.40/0.81 (define @t320 () (_ tptp.isSimp1359852763pacity @t88)) % 0.40/0.81 (define @t321 () (_ @t320 @t153)) % 0.40/0.81 (define @t322 () (@list @t88 @t153 @t47 @t155)) % 0.40/0.81 (define @t323 () (_ @t321 @t47)) % 0.40/0.81 (define @t324 () (_ @t323 @t155)) % 0.40/0.81 (define @t325 () (_ (_ (_ @t320 @t22) @t47) @t18)) % 0.40/0.81 (define @t326 () (@var "Y3" tptp.produc1695820582at_nat)) % 0.40/0.81 (define @t327 () (@var "X3" (-> tptp.nat tptp.nat tptp.nat))) % 0.40/0.81 (define @t328 () (@var "P" tptp.produc2082277813at_nat)) % 0.40/0.81 (define @t329 () (@var "Y3" tptp.product_prod_nat_nat)) % 0.40/0.81 (define @t330 () (@var "X3" tptp.nat)) % 0.40/0.81 (define @t331 () (@var "P" tptp.produc1695820582at_nat)) % 0.40/0.81 (define @t332 () (@var "Y3" tptp.nat)) % 0.40/0.81 (define @t333 () (@var "P" tptp.product_prod_nat_nat)) % 0.40/0.81 (define @t334 () (@list @t330 @t332)) % 0.40/0.81 (define @t335 () (@list @t333)) % 0.40/0.81 (define @t336 () (@var "P3" (-> tptp.produc2082277813at_nat Bool))) % 0.40/0.81 (define @t337 () (@var "B5" tptp.produc1695820582at_nat)) % 0.40/0.81 (define @t338 () (@var "A5" (-> tptp.nat tptp.nat tptp.nat))) % 0.40/0.81 (define @t339 () (_ tptp.produc1682925677at_nat @t338)) % 0.40/0.81 (define @t340 () (_ @t339 @t337)) % 0.40/0.81 (define @t341 () (@list @t338 @t337)) % 0.40/0.81 (define @t342 () (forall @t341 (_ @t336 @t340))) % 0.40/0.81 (define @t343 () (@var "P3" (-> tptp.produc1695820582at_nat Bool))) % 0.40/0.81 (define @t344 () (@var "B5" tptp.product_prod_nat_nat)) % 0.40/0.81 (define @t345 () (@var "A5" tptp.nat)) % 0.40/0.81 (define @t346 () (_ tptp.produc1933845336at_nat @t345)) % 0.40/0.81 (define @t347 () (_ @t346 @t344)) % 0.40/0.81 (define @t348 () (@list @t345 @t344)) % 0.40/0.81 (define @t349 () (forall @t348 (_ @t343 @t347))) % 0.40/0.81 (define @t350 () (@var "B5" tptp.nat)) % 0.40/0.81 (define @t351 () (_ (_ tptp.product_Pair_nat_nat @t345) @t350)) % 0.40/0.81 (define @t352 () (@list @t345 @t350)) % 0.40/0.81 (define @t353 () (forall @t352 (_ @t115 @t351))) % 0.40/0.81 (define @t354 () (@var "C3" tptp.product_prod_nat_nat)) % 0.40/0.81 (define @t355 () (_ tptp.produc1933845336at_nat @t350)) % 0.40/0.81 (define @t356 () (_ @t339 (_ @t355 @t354))) % 0.40/0.81 (define @t357 () (@var "Y" tptp.produc2082277813at_nat)) % 0.40/0.81 (define @t358 () (@list @t338 @t350 @t354)) % 0.40/0.81 (define @t359 () (@list @t357)) % 0.40/0.81 (define @t360 () (_ tptp.product_Pair_nat_nat @t350)) % 0.40/0.81 (define @t361 () (_ @t346 (_ @t360 @t205))) % 0.40/0.81 (define @t362 () (@var "Y" tptp.produc1695820582at_nat)) % 0.40/0.81 (define @t363 () (@list @t345 @t350 @t205)) % 0.40/0.81 (define @t364 () (@list @t362)) % 0.40/0.81 (define @t365 () (_ @t339 (_ @t355 (_ (_ tptp.product_Pair_nat_nat @t205) @t144)))) % 0.40/0.81 (define @t366 () (@list @t338 @t350 @t205 @t144)) % 0.40/0.81 (define @t367 () (@var "X" tptp.produc2082277813at_nat)) % 0.40/0.81 (define @t368 () (_ @t336 @t367)) % 0.40/0.81 (define @t369 () (@list @t336 @t367)) % 0.40/0.81 (define @t370 () (@var "X" tptp.produc1695820582at_nat)) % 0.40/0.81 (define @t371 () (@var "Y" tptp.product_prod_nat_nat)) % 0.40/0.81 (define @t372 () (@var "Prod" tptp.produc2082277813at_nat)) % 0.40/0.81 (define @t373 () (@var "Prod" tptp.produc1695820582at_nat)) % 0.40/0.81 (define @t374 () (@var "Prod" tptp.product_prod_nat_nat)) % 0.40/0.81 (define @t375 () (@var "Y" tptp.list_P559422087at_nat)) % 0.40/0.81 (define @t376 () (@var "X" tptp.list_P559422087at_nat)) % 0.40/0.81 (define @t377 () (_ tptp.ord_less_eq_nat @t213)) % 0.40/0.81 (define @t378 () (_ @t377 @t214)) % 0.40/0.81 (define @t379 () (@var "Y4" tptp.nat)) % 0.40/0.81 (define @t380 () (_ @t298 @t330)) % 0.40/0.81 (define @t381 () (@list @t330)) % 0.40/0.81 (define @t382 () (@var "K2" tptp.nat)) % 0.40/0.81 (define @t383 () (_ @t199 @t213)) % 0.40/0.81 (define @t384 () (_ (_ tptp.ord_less_eq_nat @t318) @t213)) % 0.40/0.81 (define @t385 () (@list @t214 @t68 @t213)) % 0.40/0.81 (define @t386 () (@var "E" tptp.product_prod_nat_nat)) % 0.40/0.81 (define @t387 () (=> (_ (_ tptp.member701585322at_nat @t386) @t123) (not (_ (_ tptp.member701585322at_nat (_ tptp.product_swap_nat_nat @t386)) @t123)))) % 0.40/0.81 (define @t388 () (@var "__flatten_var_0" tptp.nat)) % 0.40/0.81 (define @t389 () (_ tptp.plus_plus_nat @t63)) % 0.40/0.81 (define @t390 () (@var "Y" (-> tptp.nat tptp.nat tptp.nat))) % 0.40/0.81 (define @t391 () (@var "X" tptp.product_prod_nat_nat)) % 0.40/0.81 (define @t392 () (@var "X" (-> tptp.nat tptp.nat tptp.nat))) % 0.40/0.81 (define @t393 () (@var "X4" tptp.nat)) % 0.40/0.81 (define @t394 () (@var "M5" tptp.nat)) % 0.40/0.81 (define @t395 () (_ tptp.ord_less_eq_nat @t330)) % 0.40/0.81 (define @t396 () (@var "Acc" tptp.product_prod_nat_nat)) % 0.40/0.81 (define @t397 () (@var "F2" (-> tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) % 0.40/0.81 (define @t398 () (@var "X" tptp.produc1864880952at_nat)) % 0.40/0.81 (define @t399 () (@var "Acc" tptp.nat)) % 0.40/0.81 (define @t400 () (@var "F2" (-> tptp.nat tptp.nat tptp.nat))) % 0.40/0.81 (define @t401 () (_ @t35 tptp.one_one_nat)) % 0.40/0.81 (define @t402 () (@list @t34)) % 0.40/0.81 (define @t403 () (= @t22 @t18)) % 0.40/0.81 (define @t404 () (_ tptp.ord_less_eq_nat @t83)) % 0.40/0.81 (define @t405 () (= @t47 tptp.nil_Pr1308055047at_nat)) % 0.40/0.81 (define @t406 () (= @t34 @t32)) % 0.40/0.81 (define @t407 () (_ tptp.ord_less_eq_nat @t32)) % 0.40/0.81 (define @t408 () (_ @t407 @t34)) % 0.40/0.81 (define @t409 () (@list @t32 @t34)) % 0.40/0.81 (define @t410 () (_ (_ tptp.ord_less_eq_nat @t63) @t64)) % 0.40/0.81 (define @t411 () (_ (_ tptp.ord_less_eq_nat @t64) @t63)) % 0.40/0.81 (define @t412 () (@var "Z" tptp.nat)) % 0.40/0.81 (define @t413 () (@var "Y5" tptp.nat)) % 0.40/0.81 (define @t414 () (lambda (@list @t413 @t412) (= @t413 @t412))) % 0.40/0.81 (define @t415 () (@var "P3" (-> tptp.nat tptp.nat Bool))) % 0.40/0.81 (define @t416 () (_ @t415 @t345)) % 0.40/0.81 (define @t417 () (_ @t416 @t350)) % 0.40/0.81 (define @t418 () (=> (forall @t352 (=> (_ (_ @t415 @t350) @t345) @t417)) (_ (_ @t415 @t34) @t32))) % 0.40/0.81 (define @t419 () (@list @t415 @t34 @t32)) % 0.40/0.81 (define @t420 () (@var "Z2" tptp.nat)) % 0.40/0.81 (define @t421 () (_ @t404 @t420)) % 0.40/0.81 (define @t422 () (_ tptp.ord_less_eq_nat @t308)) % 0.40/0.81 (define @t423 () (_ @t422 @t420)) % 0.40/0.81 (define @t424 () (_ @t404 @t308)) % 0.40/0.81 (define @t425 () (@list @t83 @t308 @t420)) % 0.40/0.81 (define @t426 () (_ @t158 @t31)) % 0.40/0.81 (define @t427 () (_ @t407 @t31)) % 0.40/0.81 (define @t428 () (=> @t427 @t426)) % 0.40/0.81 (define @t429 () (_ @t422 @t83)) % 0.40/0.81 (define @t430 () (@list @t308 @t83)) % 0.40/0.81 (define @t431 () (not @t424)) % 0.40/0.81 (define @t432 () (_ tptp.ord_less_eq_nat @t420)) % 0.40/0.81 (define @t433 () (_ @t432 @t83)) % 0.40/0.81 (define @t434 () (_ @t432 @t308)) % 0.40/0.81 (define @t435 () (@var "X2" tptp.nat)) % 0.40/0.81 (define @t436 () (@var "Y6" tptp.nat)) % 0.40/0.81 (define @t437 () (forall @t334 (=> (_ @t395 @t332) (_ (_ tptp.ord_less_eq_nat (_ @t269 @t330)) (_ @t269 @t332))))) % 0.40/0.81 (define @t438 () (=> @t437 (_ (_ tptp.ord_less_eq_nat (_ @t269 @t34)) @t31))) % 0.40/0.81 (define @t439 () (_ @t269 @t32)) % 0.40/0.81 (define @t440 () (@list @t34 @t32 @t269 @t31)) % 0.40/0.81 (define @t441 () (=> @t427 (=> @t437 (_ @t158 (_ @t269 @t31))))) % 0.40/0.81 (define @t442 () (@list @t34 @t269 @t32 @t31)) % 0.40/0.81 (define @t443 () (not @t406)) % 0.40/0.81 (define @t444 () (_ tptp.ord_less_nat @t32)) % 0.40/0.81 (define @t445 () (_ @t444 @t34)) % 0.40/0.81 (define @t446 () (@var "P8" (-> tptp.nat Bool))) % 0.40/0.81 (define @t447 () (@var "X5" tptp.nat)) % 0.40/0.81 (define @t448 () (@var "P7" (-> tptp.nat Bool))) % 0.40/0.81 (define @t449 () (not @t309)) % 0.40/0.81 (define @t450 () (@var "P3" Bool)) % 0.40/0.81 (define @t451 () (not @t15)) % 0.40/0.81 (define @t452 () (lambda (@list @t185 @t184 @t112 @t183) (exists @t56 (and (_ (_ (_ @t209 @t184) @t53) @t183) (= @t54 @t112))))) % 0.40/0.81 (define @t453 () (lambda (@list @t185 @t207 @t184) (exists @t56 @t211))) % 0.40/0.81 (define @t454 () (lambda @t212 (and @t211 (forall @t152 (=> (_ (_ @t210 @t150) @t184) (_ (_ tptp.ord_less_eq_nat @t54) @t151)))))) % 0.40/0.81 (define @t455 () (@var "C2" tptp.nat)) % 0.40/0.81 (define @t456 () (lambda @t65 (exists (@list @t455) (= @t64 (_ @t389 @t455))))) % 0.40/0.81 (define @t457 () (lambda @t279 (and (_ (_ tptp.ord_less_eq_nat @t276) @t275) (not @t277)))) % 0.40/0.81 (define @t458 () (tptp.plus_plus_nat @t34 @t32)) % 0.40/0.81 (define @t459 () (tptp.plus_plus_nat @t458 @t31)) % 0.40/0.81 (define @t460 () (tptp.plus_plus_nat @t32 @t31)) % 0.40/0.81 (define @t461 () (tptp.plus_plus_nat @t34 @t460)) % 0.40/0.81 (define @t462 () (= @t62 @t66)) % 0.40/0.81 (define @t463 () (tptp.min_dist_capacity tptp.c tptp.u tptp.t)) % 0.40/0.81 (define @t464 () (tptp.size_s1990949619at_nat tptp.p2)) % 0.40/0.81 (define @t465 () (tptp.plus_plus_nat tptp.one_one_nat @t464)) % 0.40/0.81 (define @t466 () (= @t11 @t14)) % 0.40/0.81 (define @t467 () (tptp.size_s1990949619at_nat tptp.p1)) % 0.40/0.81 (define @t468 () (tptp.plus_plus_nat @t467 @t465)) % 0.40/0.81 (define @t469 () (_ tptp.plus_plus_nat @t467)) % 0.40/0.81 (define @t470 () (tptp.min_dist_capacity tptp.c tptp.s tptp.t)) % 0.40/0.81 (define @t471 () (not (= @t470 @t468))) % 0.40/0.81 (define @t472 () (= @t465 @t463)) % 0.40/0.81 (define @t473 () (tptp.plus_plus_nat @t467 tptp.one_one_nat)) % 0.40/0.81 (define @t474 () (tptp.plus_plus_nat @t473 @t464)) % 0.40/0.81 (define @t475 () (= @t474 @t468)) % 0.40/0.81 (define @t476 () (forall @t39 (= @t461 @t459))) % 0.40/0.81 (define @t477 () (= @t468 @t474)) % 0.40/0.81 (assume @p1 @t9) % 0.40/0.81 (assume @p2 (=> @t13 (= (_ @t7 tptp.u) @t2))) % 0.40/0.81 (assume @p3 @t16) % 0.40/0.81 (assume @p4 (= (_ (_ @t6 tptp.v) tptp.t) @t1)) % 0.40/0.81 (assume @p5 (= @t8 (_ tptp.size_s1990949619at_nat tptp.p))) % 0.40/0.81 (assume @p6 (not (= tptp.u tptp.v))) % 0.40/0.81 (assume @p7 (= (_ @t7 tptp.v) @t4)) % 0.40/0.81 (assume @p8 (forall @t30 (=> @t29 (=> @t27 (=> @t25 (= (_ (_ @t6 @t19) @t18) @t17)))))) % 0.40/0.81 (assume @p9 (forall @t30 (=> @t29 (=> @t27 (=> @t25 (= (_ @t23 @t19) @t20)))))) % 0.40/0.81 (assume @p10 (forall @t39 (= @t38 @t33))) % 0.40/0.81 (assume @p11 (forall @t44 (= @t43 @t33))) % 0.40/0.81 (assume @p12 (forall @t30 (=> @t29 (=> @t27 (_ (_ @t28 @t21) @t18))))) % 0.40/0.81 (assume @p13 (_ (_ @t46 tptp.p3) tptp.t)) % 0.40/0.81 (assume @p14 (_ (_ (_ @t26 tptp.s) @t2) tptp.u)) % 0.40/0.81 (assume @p15 (forall @t51 (=> @t50 (_ (_ @t28 @t48) @t18)))) % 0.40/0.81 (assume @p16 (forall @t59 (= @t58 (exists @t56 (and (_ (_ (_ @t45 @t18) @t53) @t55) (= @t54 @t52)))))) % 0.40/0.81 (assume @p17 (_ (_ (_ @t26 tptp.u) tptp.one_one_nat) tptp.v)) % 0.40/0.81 (assume @p18 (_ (_ @t46 tptp.p) tptp.t)) % 0.40/0.81 (assume @p19 (_ (_ (_ @t26 tptp.v) @t1) tptp.t)) % 0.40/0.81 (assume @p20 (_ (_ (_ @t60 tptp.s) tptp.p) tptp.t)) % 0.40/0.81 (assume @p21 (forall @t44 (=> @t43 @t33))) % 0.40/0.81 (assume @p22 (forall @t39 (=> @t38 @t33))) % 0.40/0.81 (assume @p23 (forall @t44 (= (_ @t42 @t36) @t62))) % 0.40/0.81 (assume @p24 (= tptp.plus_plus_nat (lambda @t65 (_ (_ tptp.plus_plus_nat @t64) @t63)))) % 0.40/0.81 (assume @p25 @t67) % 0.40/0.81 (assume @p26 (forall (@list @t71 @t68 @t32 @t34) (=> (= @t71 (_ @t69 @t32)) (= (_ @t35 @t71) @t70)))) % 0.40/0.81 (assume @p27 (forall (@list @t72 @t68 @t34 @t32) (=> (= @t72 (_ @t69 @t34)) (= (_ (_ tptp.plus_plus_nat @t72) @t32) @t70)))) % 0.40/0.81 (assume @p28 (forall @t82 (=> (and @t81 @t80) (= @t79 @t76)))) % 0.40/0.81 (assume @p29 (forall @t84 (= (= tptp.one_one_nat @t83) (= @t83 tptp.one_one_nat)))) % 0.40/0.81 (assume @p30 (forall @t51 (= @t87 (and @t50 @t85)))) % 0.40/0.81 (assume @p31 (forall @t94 (=> @t93 (_ (_ @t90 @t48) @t18)))) % 0.40/0.81 (assume @p32 (forall @t59 (=> @t58 (_ (_ tptp.ord_less_eq_nat @t96) @t52)))) % 0.40/0.81 (assume @p33 (forall @t59 (=> @t58 (=> (forall @t99 (=> (_ (_ @t57 @t97) @t55) @t98)) (= @t96 @t52))))) % 0.40/0.81 (assume @p34 (forall @t105 (=> @t104 (=> @t103 (=> @t102 (= (_ @t101 @t19) @t20)))))) % 0.40/0.81 (assume @p35 (forall @t105 (=> @t104 (=> @t103 (=> @t102 (= (_ (_ @t100 @t19) @t18) @t17)))))) % 0.40/0.81 (assume @p36 (forall @t109 (=> @t108 (_ (_ @t57 @t96) @t55)))) % 0.40/0.81 (assume @p37 (forall @t51 (=> @t87 @t50))) % 0.40/0.81 (assume @p38 (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat tptp.v) tptp.u)) (_ tptp.set_Pr2131844118at_nat tptp.p3))) % 0.40/0.81 (assume @p39 (forall @t111 (= @t110 (exists @t56 (_ (_ @t49 @t53) @t18))))) % 0.40/0.81 (assume @p40 (forall @t109 (= @t108 (exists @t113 (_ (_ @t57 @t112) @t55))))) % 0.40/0.81 (assume @p41 (forall (@list @t114 @t115) (= (_ (_ tptp.member701585322at_nat @t114) @t116) (_ @t115 @t114)))) % 0.40/0.81 (assume @p42 (forall (@list @t117) (= (_ tptp.collec7649004at_nat (lambda (@list @t118) (_ (_ tptp.member701585322at_nat @t118) @t117))) @t117))) % 0.40/0.81 (assume @p43 (forall (@list @t115 @t119) (=> (forall (@list @t120) (= (_ @t115 @t120) (_ @t119 @t120))) (= @t116 (_ tptp.collec7649004at_nat @t119))))) % 0.40/0.81 (assume @p44 (forall @t111 (=> @t110 (not (forall @t122 (not (_ (_ @t86 @t121) @t18))))))) % 0.40/0.81 (assume @p45 (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat tptp.u) tptp.v)) (_ tptp.set_Pr2131844118at_nat tptp.p))) % 0.40/0.81 (assume @p46 (forall @t130 (=> @t50 @t129))) % 0.40/0.81 (assume @p47 (forall @t130 (=> @t50 @t132))) % 0.40/0.81 (assume @p48 (forall (@list @t135 @t18 @t133) (=> @t142 (=> (_ @t141 @t140) @t139)))) % 0.40/0.81 (assume @p49 (forall (@list @t18 @t55 @t143) (=> @t108 (=> (forall @t149 (=> (_ (_ @t57 @t144) @t55) (=> (forall @t148 (=> (_ (_ @t57 @t146) @t55) @t147)) @t145))) (_ @t143 @t96))))) % 0.40/0.81 (assume @p50 (forall @t51 (= @t87 (and @t50 (forall @t152 (=> (_ (_ @t49 @t150) @t18) (_ (_ tptp.ord_less_eq_nat @t48) @t151))))))) % 0.40/0.81 (assume @p51 (forall @t157 (=> @t156 (=> @t154 (_ (_ @t106 @t153) @t22))))) % 0.40/0.81 (assume @p52 (forall @t157 (=> @t156 (=> @t154 @t110)))) % 0.40/0.81 (assume @p53 (forall @t157 (=> @t156 (=> @t154 (_ @t107 @t155))))) % 0.40/0.81 (assume @p54 (forall @t162 (= @t161 @t159))) % 0.40/0.81 (assume @p55 (forall @t165 (= @t164 @t159))) % 0.40/0.81 (assume @p56 (forall @t157 (=> @t156 (=> @t154 (= (_ @t167 @t155) (_ (_ tptp.plus_plus_nat @t168) @t166)))))) % 0.40/0.81 (assume @p57 (forall @t157 (=> @t156 (=> @t154 (= (_ @t23 @t155) (_ @t10 @t166)))))) % 0.40/0.81 (assume @p58 (forall @t157 (=> @t156 (=> @t154 (= (_ @t167 @t18) @t168))))) % 0.40/0.81 (assume @p59 (forall (@list @t18) (_ @t107 @t18))) % 0.40/0.81 (assume @p60 (forall @t59 (=> @t58 @t108))) % 0.40/0.81 (assume @p61 (forall @t169 (=> @t93 @t129))) % 0.40/0.81 (assume @p62 (forall @t169 (=> @t93 @t132))) % 0.40/0.81 (assume @p63 (forall @t174 (=> @t173 (not (forall @t122 (not (_ (_ @t171 @t121) @t18))))))) % 0.40/0.81 (assume @p64 (= tptp.isShor1936442771pacity tptp.isShor1936442771pacity)) % 0.40/0.81 (assume @p65 (forall (@list @t88 @t18) (_ @t175 @t18))) % 0.40/0.81 (assume @p66 (= tptp.connected_capacity tptp.connected_capacity)) % 0.40/0.81 (assume @p67 (forall (@list @t88 @t135 @t18 @t133) (=> @t180 (=> (_ @t141 @t179) @t178)))) % 0.40/0.81 (assume @p68 (forall @t182 (=> @t181 (=> @t154 (_ (_ @t172 @t153) @t22))))) % 0.40/0.81 (assume @p69 (forall @t182 (=> @t181 (=> @t154 @t173)))) % 0.40/0.81 (assume @p70 (forall @t182 (=> @t181 (=> @t154 (_ @t175 @t155))))) % 0.40/0.81 (assume @p71 (= tptp.connected_capacity (lambda (@list @t185 @t184 @t183) (exists @t113 (_ (_ (_ (_ tptp.dist_capacity @t185) @t184) @t112) @t183))))) % 0.40/0.81 (assume @p72 (forall @t189 (=> @t188 @t186))) % 0.40/0.81 (assume @p73 (forall @t94 (=> (_ (_ @t171 @t47) @t18) @t93))) % 0.40/0.81 (assume @p74 (forall @t182 (=> @t181 (=> @t154 (= (_ @t192 @t155) (_ (_ tptp.plus_plus_nat @t193) @t191)))))) % 0.40/0.81 (assume @p75 (forall @t182 (=> @t181 (=> @t154 (= (_ @t101 @t155) (_ @t10 @t191)))))) % 0.40/0.81 (assume @p76 (forall @t182 (=> @t181 (=> @t154 (= (_ @t192 @t18) @t193))))) % 0.40/0.81 (assume @p77 (forall (@list @t88 @t18 @t55 @t143) (=> @t186 (=> (forall @t149 (=> (_ (_ @t187 @t144) @t55) (=> (forall @t148 (=> (_ (_ @t187 @t146) @t55) @t147)) @t145))) (_ @t143 @t194))))) % 0.40/0.81 (assume @p78 (forall @t82 (=> (and @t198 @t80) @t196))) % 0.40/0.81 (assume @p79 (forall @t82 (=> (and @t81 @t200) @t196))) % 0.40/0.81 (assume @p80 (forall @t82 (=> (and @t198 @t200) @t196))) % 0.40/0.81 (assume @p81 (forall @t204 (=> @t159 (=> @t203 (_ @t163 @t201))))) % 0.40/0.81 (assume @p82 (forall @t39 (=> @t159 @t161))) % 0.40/0.81 (assume @p83 (forall @t206 (=> @t159 (not (forall (@list @t205) (not (= @t32 (_ @t35 @t205)))))))) % 0.40/0.81 (assume @p84 (forall @t39 (=> @t159 @t164))) % 0.40/0.81 (assume @p85 (forall @t162 (=> @t161 @t159))) % 0.40/0.81 (assume @p86 (forall @t165 (=> @t164 @t159))) % 0.40/0.81 (assume @p87 (forall @t189 (=> @t188 (_ (_ tptp.ord_less_eq_nat @t194) @t52)))) % 0.40/0.81 (assume @p88 (forall @t189 (=> @t188 (=> (forall @t99 (=> (_ (_ @t187 @t97) @t55) @t98)) (= @t194 @t52))))) % 0.40/0.81 (assume @p89 (forall (@list @t88 @t18 @t55) (=> @t186 (_ (_ @t187 @t194) @t55)))) % 0.40/0.81 (assume @p90 (= tptp.isShor1936442771pacity (lambda @t212 (and @t211 @t208)))) % 0.40/0.81 (assume @p91 (= tptp.isPath_capacity tptp.isPath_capacity)) % 0.40/0.81 (assume @p92 (= tptp.min_dist_capacity tptp.min_dist_capacity)) % 0.40/0.81 (assume @p93 (= tptp.dist_capacity tptp.dist_capacity)) % 0.40/0.81 (assume @p94 (forall @t105 (=> @t104 (=> @t103 (_ (_ @t90 @t21) @t18))))) % 0.40/0.81 (assume @p95 (forall @t218 (= (_ (_ tptp.ord_less_eq_nat @t217) @t216) @t215))) % 0.40/0.81 (assume @p96 (forall @t51 (= @t87 (and @t220 @t85)))) % 0.40/0.81 (assume @p97 (forall (@list @t135 @t18 @t52 @t133) (=> @t142 (=> (= @t140 @t52) (=> @t221 @t139))))) % 0.40/0.81 (assume @p98 (forall (@list @t22 @t47 @t18 @t124) (=> @t220 @t222))) % 0.40/0.81 (assume @p99 (forall (@list @t22 @t47 @t18 @t124 @t126 @t223) (=> @t220 @t224))) % 0.40/0.81 (assume @p100 (forall (@list @t22 @t47 @t18 @t124 @t126 @t225) (=> @t220 @t226))) % 0.40/0.81 (assume @p101 (forall @t234 (= @t233 (and @t232 @t229)))) % 0.40/0.81 (assume @p102 (forall @t241 (= @t240 (and @t239 @t237)))) % 0.40/0.81 (assume @p103 (forall @t245 (= @t244 (and @t239 @t243)))) % 0.40/0.81 (assume @p104 (forall (@list @t249 @t247 @t248 @t246) (= (= (_ (_ tptp.produc1682925677at_nat @t249) @t247) (_ (_ tptp.produc1682925677at_nat @t248) @t246)) (and (= @t249 @t248) (= @t247 @t246))))) % 0.40/0.81 (assume @p105 (forall (@list @t253 @t251 @t252 @t250) (= (= (_ (_ tptp.produc1933845336at_nat @t253) @t251) (_ (_ tptp.produc1933845336at_nat @t252) @t250)) (and @t254 (= @t251 @t250))))) % 0.40/0.81 (assume @p106 (forall (@list @t253 @t256 @t252 @t255) (= (= (_ (_ tptp.product_Pair_nat_nat @t253) @t256) (_ (_ tptp.product_Pair_nat_nat @t252) @t255)) (and @t254 (= @t256 @t255))))) % 0.40/0.81 (assume @p107 (forall @t260 (=> (_ (_ (_ @t45 @t153) @t47) @t155) (exists @t259 (_ (_ @t258 @t257) @t155))))) % 0.40/0.81 (assume @p108 (forall @t260 (=> @t156 @t262))) % 0.40/0.81 (assume @p109 (forall @t165 (= @t266 @t264))) % 0.40/0.81 (assume @p110 (forall @t162 (= @t267 @t264))) % 0.40/0.81 (assume @p111 (forall @t218 (= (_ (_ tptp.ord_less_nat @t217) @t216) @t268))) % 0.40/0.81 (assume @p112 (= tptp.isSimp1359852763pacity tptp.isSimp1359852763pacity)) % 0.40/0.81 (assume @p113 (forall (@list @t269 @t77 @t74) (=> (forall (@list @t271 @t270) (=> (_ (_ tptp.ord_less_nat @t271) @t270) (_ (_ tptp.ord_less_nat (_ @t269 @t271)) (_ @t269 @t270)))) (=> @t198 (_ (_ tptp.ord_less_eq_nat (_ @t269 @t77)) (_ @t269 @t74)))))) % 0.40/0.81 (assume @p114 (forall @t274 (=> @t215 (=> @t273 @t268)))) % 0.40/0.81 (assume @p115 (forall @t274 (=> (or @t268 @t272) @t215))) % 0.40/0.81 (assume @p116 (= tptp.ord_less_eq_nat (lambda @t279 (or @t278 @t277)))) % 0.40/0.81 (assume @p117 (forall @t274 (=> @t268 @t215))) % 0.40/0.81 (assume @p118 (forall @t282 (=> (_ @t281 @t68) (_ @t280 @t68)))) % 0.40/0.81 (assume @p119 (forall @t82 (=> @t286 (=> @t285 @t284)))) % 0.40/0.81 (assume @p120 (forall (@list @t77 @t74) (not (_ @t281 @t77)))) % 0.40/0.81 (assume @p121 (forall (@list @t74 @t77) (not (_ (_ tptp.ord_less_nat (_ @t75 @t77)) @t77)))) % 0.40/0.81 (assume @p122 (forall @t282 (=> @t286 (_ @t283 @t287)))) % 0.40/0.81 (assume @p123 (forall @t289 (=> @t286 (_ @t280 @t288)))) % 0.40/0.81 (assume @p124 (forall @t289 (=> @t286 (_ @t280 @t291)))) % 0.40/0.81 (assume @p125 (forall (@list @t68 @t73 @t214 @t213) (=> @t285 (=> (= (_ @t290 @t73) @t216) @t268)))) % 0.40/0.81 (assume @p126 (forall @t274 (= @t273 (or @t268 @t293)))) % 0.40/0.81 (assume @p127 (forall @t294 (not (_ @t292 @t213)))) % 0.40/0.81 (assume @p128 (forall @t295 (=> @t293 @t273))) % 0.40/0.81 (assume @p129 (forall @t297 (=> (_ (_ tptp.ord_less_nat @t153) @t155) (not @t296)))) % 0.40/0.81 (assume @p130 (forall @t307 (=> (forall @t306 (=> (forall @t305 (=> @t304 @t303)) @t301)) @t299))) % 0.40/0.81 (assume @p131 (forall @t307 (=> (forall @t306 (=> (not @t301) (exists @t305 (and @t304 (not @t303))))) @t299))) % 0.40/0.81 (assume @p132 (forall @t314 (=> @t313 (=> @t311 @t309)))) % 0.40/0.81 (assume @p133 (forall @t165 (=> @t266 @t264))) % 0.40/0.81 (assume @p134 (forall @t162 (=> @t267 @t264))) % 0.40/0.81 (assume @p135 (forall @t39 (=> @t264 @t266))) % 0.40/0.81 (assume @p136 (forall @t39 (=> @t264 @t267))) % 0.40/0.81 (assume @p137 (forall @t204 (=> @t264 @t317))) % 0.40/0.81 (assume @p138 (forall @t82 (=> (and @t286 @t80) @t284))) % 0.40/0.81 (assume @p139 (forall @t82 (=> (and @t81 @t285) @t284))) % 0.40/0.81 (assume @p140 (forall @t82 (=> (and @t286 @t285) @t284))) % 0.40/0.81 (assume @p141 (forall (@list @t269 @t214 @t68) (=> (forall (@list @t319 @t300) (=> (_ (_ tptp.ord_less_nat @t319) @t300) (_ (_ tptp.ord_less_nat (_ @t269 @t319)) (_ @t269 @t300)))) (_ (_ tptp.ord_less_eq_nat (_ (_ tptp.plus_plus_nat (_ @t269 @t214)) @t68)) (_ @t269 @t318))))) % 0.40/0.81 (assume @p142 (forall @t322 (=> (_ (_ (_ @t91 @t153) @t47) @t155) (exists @t259 (_ (_ @t321 @t257) @t155))))) % 0.40/0.81 (assume @p143 (forall @t322 (=> @t181 @t324))) % 0.40/0.81 (assume @p144 (forall @t82 (=> (and @t198 @t285) @t284))) % 0.40/0.81 (assume @p145 (forall @t82 (=> (and @t286 @t200) @t284))) % 0.40/0.81 (assume @p146 (forall @t204 (=> @t159 @t317))) % 0.40/0.81 (assume @p147 (forall @t204 (=> @t264 (=> @t203 @t315)))) % 0.40/0.81 (assume @p148 (forall (@list @t88 @t135 @t18 @t52 @t133) (=> @t180 (=> (= @t179 @t52) (=> @t221 @t178))))) % 0.40/0.81 (assume @p149 (forall (@list @t88 @t22 @t47 @t18 @t124) (=> @t325 @t222))) % 0.40/0.81 (assume @p150 (forall (@list @t88 @t22 @t47 @t18 @t124 @t126 @t223) (=> @t325 @t224))) % 0.40/0.81 (assume @p151 (forall (@list @t88 @t22 @t47 @t18 @t124 @t126 @t225) (=> @t325 @t226))) % 0.40/0.81 (assume @p152 (forall (@list @t328) (exists (@list @t327 @t326) (= @t328 (_ (_ tptp.produc1682925677at_nat @t327) @t326))))) % 0.40/0.81 (assume @p153 (forall (@list @t331) (exists (@list @t330 @t329) (= @t331 (_ (_ tptp.produc1933845336at_nat @t330) @t329))))) % 0.40/0.81 (assume @p154 (forall @t335 (exists @t334 (= @t333 (_ (_ tptp.product_Pair_nat_nat @t330) @t332))))) % 0.40/0.81 (assume @p155 (forall (@list @t336 @t328) (=> @t342 (_ @t336 @t328)))) % 0.40/0.81 (assume @p156 (forall (@list @t343 @t331) (=> @t349 (_ @t343 @t331)))) % 0.40/0.81 (assume @p157 (forall (@list @t115 @t333) (=> @t353 (_ @t115 @t333)))) % 0.40/0.81 (assume @p158 (forall @t234 (=> @t233 (not (=> @t232 (not @t229)))))) % 0.40/0.81 (assume @p159 (forall @t241 (=> @t240 (not (=> @t239 (not @t237)))))) % 0.40/0.81 (assume @p160 (forall @t245 (=> @t244 (not (=> @t239 (not @t243)))))) % 0.40/0.81 (assume @p161 (forall @t359 (not (forall @t358 (not (= @t357 @t356)))))) % 0.40/0.81 (assume @p162 (forall @t364 (not (forall @t363 (not (= @t362 @t361)))))) % 0.40/0.81 (assume @p163 (forall @t359 (not (forall @t366 (not (= @t357 @t365)))))) % 0.40/0.81 (assume @p164 (forall @t369 (=> (forall @t358 (_ @t336 @t356)) @t368))) % 0.40/0.81 (assume @p165 (forall (@list @t343 @t370) (=> (forall @t363 (_ @t343 @t361)) (_ @t343 @t370)))) % 0.40/0.81 (assume @p166 (forall @t369 (=> (forall @t366 (_ @t336 @t365)) @t368))) % 0.40/0.81 (assume @p167 (forall @t359 (not (forall @t341 (not (= @t357 @t340)))))) % 0.40/0.81 (assume @p168 (forall @t364 (not (forall @t348 (not (= @t362 @t347)))))) % 0.40/0.81 (assume @p169 (forall (@list @t371) (not (forall @t352 (not (= @t371 @t351)))))) % 0.40/0.81 (assume @p170 (forall (@list @t336 @t372) (=> @t342 (_ @t336 @t372)))) % 0.40/0.81 (assume @p171 (forall (@list @t343 @t373) (=> @t349 (_ @t343 @t373)))) % 0.40/0.81 (assume @p172 (forall (@list @t115 @t374) (=> @t353 (_ @t115 @t374)))) % 0.40/0.81 (assume @p173 (forall (@list @t376 @t375) (=> (not (= (_ tptp.size_s1990949619at_nat @t376) (_ tptp.size_s1990949619at_nat @t375))) (not (= @t376 @t375))))) % 0.40/0.81 (assume @p174 (forall @t294 (_ @t377 @t213))) % 0.40/0.81 (assume @p175 (forall @t282 (=> @t198 (=> (_ (_ tptp.ord_less_eq_nat @t74) @t68) (_ @t197 @t68))))) % 0.40/0.81 (assume @p176 (forall @t274 (=> @t272 @t215))) % 0.40/0.81 (assume @p177 (forall @t274 (=> @t215 (=> @t378 @t272)))) % 0.40/0.81 (assume @p178 (forall @t274 (or @t215 @t378))) % 0.40/0.81 (assume @p179 (forall (@list @t298 @t68 @t32) (=> (_ @t298 @t68) (=> (forall (@list @t332) (=> (_ @t298 @t332) (_ (_ tptp.ord_less_eq_nat @t332) @t32))) (exists @t381 (and @t380 (forall (@list @t379) (=> (_ @t298 @t379) (_ (_ tptp.ord_less_eq_nat @t379) @t330))))))))) % 0.40/0.81 (assume @p180 (= tptp.isShor1936442771pacity (lambda @t212 (and (_ (_ (_ (_ tptp.isSimp1359852763pacity @t185) @t207) @t53) @t184) @t208)))) % 0.40/0.81 (assume @p181 (= tptp.ord_less_eq_nat (lambda @t279 (exists (@list @t382) (= @t275 (_ (_ tptp.plus_plus_nat @t276) @t382)))))) % 0.40/0.81 (assume @p182 (forall @t289 (=> @t198 (_ @t197 @t291)))) % 0.40/0.81 (assume @p183 (forall @t289 (=> @t198 (_ @t197 @t288)))) % 0.40/0.81 (assume @p184 (forall @t282 (=> @t198 (_ @t195 @t287)))) % 0.40/0.81 (assume @p185 (forall @t82 (=> @t198 (=> @t200 @t196)))) % 0.40/0.81 (assume @p186 (forall (@list @t68 @t73) (=> @t200 (exists @t306 (= @t73 (_ @t69 @t300)))))) % 0.40/0.81 (assume @p187 (forall @t385 (=> @t384 @t383))) % 0.40/0.81 (assume @p188 (forall @t385 (=> @t384 @t215))) % 0.40/0.81 (assume @p189 (forall @t295 (_ @t377 (_ @t290 @t213)))) % 0.40/0.81 (assume @p190 (forall @t295 (_ @t377 (_ (_ tptp.plus_plus_nat @t213) @t214)))) % 0.40/0.81 (assume @p191 (forall @t385 (=> @t384 (not (=> @t215 (not @t383)))))) % 0.40/0.81 (assume @p192 (forall (@list @t153 @t47 @t155 @t386) (=> @t262 @t387))) % 0.40/0.81 (assume @p193 (= tptp.ord_less_nat (lambda (@list @t63 @t388) (_ (_ tptp.ord_less_eq_nat (_ @t389 tptp.one_one_nat)) @t388)))) % 0.40/0.81 (assume @p194 (forall @t335 (= (_ tptp.product_swap_nat_nat (_ tptp.product_swap_nat_nat @t333)) @t333))) % 0.40/0.81 (assume @p195 (forall (@list @t370 @t390) (= (_ tptp.produc411855757at_nat (_ (_ tptp.produc365964781at_nat @t370) @t390)) (_ (_ tptp.produc1682925677at_nat @t390) @t370)))) % 0.40/0.81 (assume @p196 (forall (@list @t391 @t308) (= (_ tptp.produc2019146714at_nat (_ (_ tptp.produc947540346at_nat @t391) @t308)) (_ (_ tptp.produc1933845336at_nat @t308) @t391)))) % 0.40/0.81 (assume @p197 (forall (@list @t392 @t362) (= (_ tptp.produc1728816653at_nat (_ (_ tptp.produc1682925677at_nat @t392) @t362)) (_ (_ tptp.produc365964781at_nat @t362) @t392)))) % 0.40/0.81 (assume @p198 (forall (@list @t83 @t371) (= (_ tptp.produc857968056at_nat (_ (_ tptp.produc1933845336at_nat @t83) @t371)) (_ (_ tptp.produc947540346at_nat @t371) @t83)))) % 0.40/0.81 (assume @p199 (forall @t314 (= (_ tptp.product_swap_nat_nat (_ (_ tptp.product_Pair_nat_nat @t83) @t308)) (_ (_ tptp.product_Pair_nat_nat @t308) @t83)))) % 0.40/0.81 (assume @p200 (forall (@list @t298 @t83 @t394) (=> (_ @t298 @t83) (=> (forall @t381 (=> @t380 (_ @t395 @t394))) (not (forall (@list @t319) (=> (_ @t298 @t319) (not (forall (@list @t393) (=> (_ @t298 @t393) (_ (_ tptp.ord_less_eq_nat @t393) @t319))))))))))) % 0.40/0.81 (assume @p201 (forall (@list @t398) (not (forall (@list @t397 @t345 @t350 @t396) (not (= @t398 (_ (_ tptp.produc696256106at_nat @t397) (_ (_ tptp.produc869658639at_nat @t345) (_ @t355 @t396))))))))) % 0.40/0.81 (assume @p202 (forall (@list @t367) (not (forall (@list @t400 @t345 @t350 @t399) (not (= @t367 (_ (_ tptp.produc1682925677at_nat @t400) (_ @t346 (_ @t360 @t399))))))))) % 0.40/0.81 (assume @p203 (forall (@list @t88 @t153 @t47 @t155 @t386) (=> @t324 @t387))) % 0.40/0.81 (assume @p204 (forall @t402 (_ @t263 @t401))) % 0.40/0.81 (assume @p205 (forall @t206 (=> @t264 (_ (_ tptp.ord_less_nat @t401) (_ @t42 tptp.one_one_nat))))) % 0.40/0.81 (assume @p206 (forall @t111 (= (_ (_ @t49 tptp.nil_Pr1308055047at_nat) @t18) @t403))) % 0.40/0.81 (assume @p207 (forall @t84 (_ @t404 @t83))) % 0.40/0.81 (assume @p208 (forall @t297 (= (_ (_ @t258 tptp.nil_Pr1308055047at_nat) @t155) @t296))) % 0.40/0.81 (assume @p209 (forall (@list @t153 @t47) (= (_ @t261 @t153) @t405))) % 0.40/0.81 (assume @p210 (forall (@list @t88 @t153 @t155) (= (_ (_ @t321 tptp.nil_Pr1308055047at_nat) @t155) @t296))) % 0.40/0.81 (assume @p211 (forall (@list @t88 @t153 @t47) (= (_ @t323 @t153) @t405))) % 0.40/0.81 (assume @p212 (forall @t174 (= (_ (_ @t92 tptp.nil_Pr1308055047at_nat) @t18) @t403))) % 0.40/0.81 (assume @p213 (forall @t409 (=> @t408 (=> @t159 @t406)))) % 0.40/0.81 (assume @p214 (= @t414 (lambda @t65 (and @t411 @t410)))) % 0.40/0.81 (assume @p215 (forall @t44 (=> @t408 (=> (_ @t202 @t32) (_ @t202 @t34))))) % 0.40/0.81 (assume @p216 (forall @t419 (=> (forall @t352 (=> (_ (_ tptp.ord_less_eq_nat @t345) @t350) @t417)) @t418))) % 0.40/0.81 (assume @p217 (forall @t402 (_ @t158 @t34))) % 0.40/0.81 (assume @p218 (forall @t425 (=> @t424 (=> @t423 @t421)))) % 0.40/0.81 (assume @p219 (forall @t206 (=> @t159 (=> @t408 @t406)))) % 0.40/0.81 (assume @p220 (forall @t39 (=> @t159 (=> @t33 @t426)))) % 0.40/0.81 (assume @p221 (forall @t39 (=> @t406 @t428))) % 0.40/0.81 (assume @p222 (= @t414 (lambda @t65 (and @t410 @t411)))) % 0.40/0.81 (assume @p223 (forall @t430 (=> @t429 (= @t424 @t312)))) % 0.40/0.81 (assume @p224 (forall @t425 (=> (=> @t424 (not @t423)) (=> (=> @t429 (not @t421)) (=> (=> @t421 (not @t434)) (=> (=> @t434 (not @t429)) (=> (=> @t423 (not @t433)) (not (=> @t433 @t431))))))))) % 0.40/0.81 (assume @p225 (forall @t39 (=> @t159 @t428))) % 0.40/0.81 (assume @p226 (forall @t314 (=> @t431 @t429))) % 0.40/0.81 (assume @p227 (forall @t314 (=> @t312 @t424))) % 0.40/0.81 (assume @p228 (forall @t314 (or @t424 @t429))) % 0.40/0.81 (assume @p229 (forall @t314 (=> @t424 (=> @t429 @t312)))) % 0.40/0.81 (assume @p230 (= @t414 (lambda (@list @t435 @t436) (and (_ (_ tptp.ord_less_eq_nat @t435) @t436) (_ (_ tptp.ord_less_eq_nat @t436) @t435))))) % 0.40/0.81 (assume @p231 (forall @t440 (=> @t159 (=> (= @t439 @t31) @t438)))) % 0.40/0.81 (assume @p232 (forall @t442 (=> (= @t34 @t439) @t441))) % 0.40/0.81 (assume @p233 (forall @t440 (=> @t159 (=> (_ (_ tptp.ord_less_eq_nat @t439) @t31) @t438)))) % 0.40/0.81 (assume @p234 (forall @t442 (=> (_ @t158 @t439) @t441))) % 0.40/0.81 (assume @p235 (forall @t409 (=> @t445 @t443))) % 0.40/0.81 (assume @p236 (forall @t206 (=> @t264 @t443))) % 0.40/0.81 (assume @p237 (forall @t314 (= @t311 (or @t309 @t312)))) % 0.40/0.81 (assume @p238 (forall @t44 (=> @t445 (=> (_ @t316 @t32) (_ @t316 @t34))))) % 0.40/0.81 (assume @p239 (forall @t419 (=> (forall @t352 (=> (_ (_ tptp.ord_less_nat @t345) @t350) @t417)) (=> (forall (@list @t345) (_ @t416 @t345)) @t418)))) % 0.40/0.81 (assume @p240 (= (lambda (@list @t448) (exists (@list @t447) (_ @t448 @t447))) (lambda (@list @t446) (exists (@list @t275) (and (_ @t446 @t275) (forall (@list @t276) (=> @t278 (not (_ @t446 @t276))))))))) % 0.40/0.81 (assume @p241 (forall @t314 (=> @t310 @t449))) % 0.40/0.81 (assume @p242 (forall @t39 (=> @t264 (=> (_ @t444 @t31) (_ @t263 @t31))))) % 0.40/0.81 (assume @p243 (forall @t402 (not (_ @t263 @t34)))) % 0.40/0.81 (assume @p244 (forall @t314 (=> @t311 (=> @t313 @t309)))) % 0.40/0.81 (assume @p245 (forall (@list @t83 @t308 @t450) (=> @t310 (=> @t309 @t450)))) % 0.40/0.81 (assume @p246 (forall @t314 (=> @t310 (not (= @t308 @t83))))) % 0.40/0.81 (assume @p247 (forall @t430 (=> @t449 (= @t311 @t312)))) % 0.40/0.81 (assume @p248 @t451) % 0.40/0.81 (assume @p249 true) % 0.40/0.81 (step @p250 (= tptp.dist_capacity @t452) :rule refl :args (@t452)) % 0.40/0.81 (step @p251 (= tptp.connected_capacity @t453) :rule refl :args (@t453)) % 0.40/0.81 (step @p252 (= tptp.isShor1936442771pacity @t454) :rule refl :args (@t454)) % 0.40/0.81 (step @p253 (= tptp.ord_less_eq_nat @t456) :rule refl :args (@t456)) % 0.40/0.81 (step @p254 (= tptp.ord_less_nat @t457) :rule refl :args (@t457)) % 0.40/0.81 (step @p255 :rule refl :args ((tptp.plus_plus_nat @t37 @t31))) % 0.40/0.81 (step @p256 :rule refl :args (@t31)) % 0.40/0.81 (step @p257 :rule refl :args (@t458)) % 0.40/0.81 (step @p258 :rule cong :premises (@p257 @p256) :args (@t459)) % 0.40/0.81 (step @p259 :rule trans :premises (@p258 @p255)) % 0.40/0.81 (step @p260 :rule refl :args (tptp.plus_plus_nat)) % 0.40/0.81 (step @p261 :rule ho_cong :premises (@p260 @p257)) % 0.40/0.81 (step @p262 :rule ho_cong :premises (@p261 @p256)) % 0.40/0.81 (step @p263 :rule cong :premises (@p262 @p259) :args ((= (_ (_ tptp.plus_plus_nat @t458) @t31) @t459))) % 0.40/0.81 (step @p264 :rule symm :premises (@p263)) % 0.40/0.81 (step @p265 :rule refl :args (@t66)) % 0.40/0.81 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 0.40/0.81 (step @p267 :rule refl :args (@t37)) % 0.40/0.81 (step @p268 :rule cong :premises (@p267 @p257) :args ((= @t37 @t458))) % 0.40/0.81 (step @p269 :rule symm :premises (@p268)) % 0.40/0.81 (step @p270 :rule eq_resolve :premises (@p267 @p269)) % 0.40/0.81 (step @p271 :rule ho_cong :premises (@p260 @p270)) % 0.40/0.81 (step @p272 :rule ho_cong :premises (@p271 @p256)) % 0.40/0.81 (step @p273 :rule trans :premises (@p272 @p266)) % 0.40/0.81 (step @p274 :rule refl :args ((tptp.plus_plus_nat @t34 @t61))) % 0.40/0.81 (step @p275 :rule refl :args (@t460)) % 0.40/0.81 (step @p276 :rule refl :args (@t34)) % 0.40/0.81 (step @p277 :rule cong :premises (@p276 @p275) :args (@t461)) % 0.40/0.81 (step @p278 :rule trans :premises (@p277 @p274)) % 0.40/0.81 (step @p279 :rule refl :args (@t35)) % 0.40/0.81 (step @p280 :rule ho_cong :premises (@p279 @p275)) % 0.40/0.81 (step @p281 :rule cong :premises (@p280 @p278) :args ((= (_ @t35 @t460) @t461))) % 0.40/0.81 (step @p282 :rule symm :premises (@p281)) % 0.40/0.81 (step @p283 :rule refl :args (@t62)) % 0.40/0.81 (step @p284 :rule eq_resolve :premises (@p283 @p282)) % 0.40/0.81 (step @p285 :rule refl :args (@t61)) % 0.40/0.81 (step @p286 :rule cong :premises (@p285 @p275) :args ((= @t61 @t460))) % 0.40/0.81 (step @p287 :rule symm :premises (@p286)) % 0.40/0.81 (step @p288 :rule eq_resolve :premises (@p285 @p287)) % 0.40/0.81 (step @p289 :rule ho_cong :premises (@p279 @p288)) % 0.40/0.81 (step @p290 :rule trans :premises (@p289 @p284)) % 0.40/0.81 (step @p291 :rule cong :premises (@p290 @p273) :args (@t462)) % 0.40/0.81 (step @p292 :rule cong :premises (@p291) :args ((forall @t39 @t462))) % 0.40/0.81 (step @p293 :rule eq-symm :args (@t66 @t62)) % 0.40/0.81 (step @p294 :rule cong :premises (@p293) :args (@t67)) % 0.40/0.81 (step @p295 :rule trans :premises (@p294 @p292)) % 0.40/0.81 (step @p296 :rule eq_resolve :premises (@p25 @p295)) % 0.40/0.81 (step @p297 :rule refl :args (@t463)) % 0.40/0.81 (step @p298 :rule refl :args (@t14)) % 0.40/0.81 (step @p299 :rule cong :premises (@p298 @p297) :args ((= @t14 @t463))) % 0.40/0.81 (step @p300 :rule symm :premises (@p299)) % 0.40/0.81 (step @p301 :rule eq_resolve :premises (@p298 @p300)) % 0.40/0.81 (step @p302 :rule refl :args ((tptp.plus_plus_nat tptp.one_one_nat @t1))) % 0.40/0.81 (step @p303 :rule refl :args (@t464)) % 0.40/0.81 (step @p304 :rule refl :args (tptp.one_one_nat)) % 0.40/0.81 (step @p305 :rule cong :premises (@p304 @p303) :args (@t465)) % 0.40/0.81 (step @p306 :rule trans :premises (@p305 @p302)) % 0.40/0.81 (step @p307 :rule refl :args (@t10)) % 0.40/0.81 (step @p308 :rule ho_cong :premises (@p307 @p303)) % 0.40/0.81 (step @p309 :rule cong :premises (@p308 @p306) :args ((= (_ @t10 @t464) @t465))) % 0.40/0.81 (step @p310 :rule symm :premises (@p309)) % 0.40/0.81 (step @p311 :rule refl :args (@t11)) % 0.40/0.81 (step @p312 :rule eq_resolve :premises (@p311 @p310)) % 0.40/0.81 (step @p313 :rule refl :args (@t1)) % 0.40/0.81 (step @p314 :rule cong :premises (@p313 @p303) :args ((= @t1 @t464))) % 0.40/0.81 (step @p315 :rule symm :premises (@p314)) % 0.40/0.81 (step @p316 :rule eq_resolve :premises (@p313 @p315)) % 0.40/0.81 (step @p317 :rule refl :args (@t10)) % 0.40/0.81 (step @p318 :rule ho_cong :premises (@p317 @p316)) % 0.40/0.81 (step @p319 :rule trans :premises (@p318 @p312)) % 0.40/0.81 (step @p320 :rule cong :premises (@p319 @p301) :args (@t466)) % 0.40/0.81 (step @p321 :rule cong :premises (@p320) :args ((not @t466))) % 0.40/0.81 (step @p322 :rule eq-symm :args (@t14 @t11)) % 0.40/0.81 (step @p323 :rule cong :premises (@p322) :args (@t451)) % 0.40/0.81 (step @p324 :rule trans :premises (@p323 @p321)) % 0.40/0.81 (step @p325 :rule eq_resolve :premises (@p248 @p324)) % 0.40/0.81 (step @p326 :rule refl :args ((tptp.plus_plus_nat @t2 @t11))) % 0.40/0.81 (step @p327 :rule refl :args (@t467)) % 0.40/0.81 (step @p328 :rule cong :premises (@p327 @p306) :args (@t468)) % 0.40/0.81 (step @p329 :rule trans :premises (@p328 @p326)) % 0.40/0.81 (step @p330 :rule ho_cong :premises (@p260 @p327)) % 0.40/0.81 (step @p331 :rule ho_cong :premises (@p330 @p306)) % 0.40/0.81 (step @p332 :rule cong :premises (@p331 @p329) :args ((= (_ @t469 @t465) @t468))) % 0.40/0.81 (step @p333 :rule symm :premises (@p332)) % 0.40/0.81 (step @p334 :rule refl :args (@t12)) % 0.40/0.81 (step @p335 :rule eq_resolve :premises (@p334 @p333)) % 0.40/0.81 (step @p336 :rule refl :args (@t2)) % 0.40/0.81 (step @p337 :rule cong :premises (@p336 @p327) :args ((= @t2 @t467))) % 0.40/0.81 (step @p338 :rule symm :premises (@p337)) % 0.40/0.81 (step @p339 :rule eq_resolve :premises (@p336 @p338)) % 0.40/0.81 (step @p340 :rule refl :args (tptp.plus_plus_nat)) % 0.40/0.81 (step @p341 :rule ho_cong :premises (@p340 @p339)) % 0.40/0.81 (step @p342 :rule ho_cong :premises (@p341 @p319)) % 0.40/0.81 (step @p343 :rule trans :premises (@p342 @p335)) % 0.40/0.81 (step @p344 :rule refl :args (@t470)) % 0.40/0.81 (step @p345 :rule refl :args (@t8)) % 0.40/0.81 (step @p346 :rule cong :premises (@p345 @p344) :args ((= @t8 @t470))) % 0.40/0.81 (step @p347 :rule symm :premises (@p346)) % 0.40/0.81 (step @p348 :rule eq_resolve :premises (@p345 @p347)) % 0.40/0.81 (step @p349 :rule cong :premises (@p348 @p343) :args (@t13)) % 0.40/0.81 (step @p350 :rule cong :premises (@p349 @p320) :args ((=> @t13 @t466))) % 0.40/0.81 (step @p351 :rule refl :args (@t13)) % 0.40/0.81 (step @p352 :rule cong :premises (@p351 @p322) :args (@t16)) % 0.40/0.81 (step @p353 :rule trans :premises (@p352 @p350)) % 0.40/0.81 (step @p354 :rule eq_resolve :premises (@p3 @p353)) % 0.40/0.81 (step @p355 :rule implies_elim :premises (@p354)) % 0.40/0.81 (step @p356 :rule reordering :premises (@p355) :args ((or @t472 @t471))) % 0.40/0.81 (step @p357 :rule chain_m_resolution :premises (@p356 @p325) :args (@t471 (@list true) (@list @t472))) % 0.40/0.81 (step @p358 :rule false_intro :premises (@p357)) % 0.40/0.81 (step @p359 :rule refl :args (@t468)) % 0.40/0.81 (step @p360 :rule eq-symm :args (@t470 @t474)) % 0.40/0.81 (step @p361 :rule refl :args ((tptp.plus_plus_nat @t4 @t1))) % 0.40/0.81 (step @p362 :rule refl :args ((tptp.plus_plus_nat @t2 tptp.one_one_nat))) % 0.40/0.81 (step @p363 :rule cong :premises (@p327 @p304) :args (@t473)) % 0.40/0.81 (step @p364 :rule trans :premises (@p363 @p362)) % 0.40/0.81 (step @p365 :rule cong :premises (@p364 @p303) :args (@t474)) % 0.40/0.81 (step @p366 :rule trans :premises (@p365 @p361)) % 0.40/0.81 (step @p367 :rule ho_cong :premises (@p260 @p364)) % 0.40/0.81 (step @p368 :rule ho_cong :premises (@p367 @p303)) % 0.40/0.81 (step @p369 :rule cong :premises (@p368 @p366) :args ((= (_ (_ tptp.plus_plus_nat @t473) @t464) @t474))) % 0.40/0.81 (step @p370 :rule symm :premises (@p369)) % 0.40/0.81 (step @p371 :rule refl :args (@t5)) % 0.40/0.81 (step @p372 :rule eq_resolve :premises (@p371 @p370)) % 0.40/0.81 (step @p373 :rule ho_cong :premises (@p330 @p304)) % 0.40/0.81 (step @p374 :rule cong :premises (@p373 @p364) :args ((= (_ @t469 tptp.one_one_nat) @t473))) % 0.40/0.81 (step @p375 :rule symm :premises (@p374)) % 0.40/0.81 (step @p376 :rule refl :args (@t4)) % 0.40/0.81 (step @p377 :rule eq_resolve :premises (@p376 @p375)) % 0.40/0.81 (step @p378 :rule refl :args (tptp.one_one_nat)) % 0.40/0.81 (step @p379 :rule ho_cong :premises (@p341 @p378)) % 0.40/0.81 (step @p380 :rule trans :premises (@p379 @p377)) % 0.40/0.81 (step @p381 :rule ho_cong :premises (@p340 @p380)) % 0.40/0.81 (step @p382 :rule ho_cong :premises (@p381 @p316)) % 0.40/0.81 (step @p383 :rule trans :premises (@p382 @p372)) % 0.40/0.81 (step @p384 :rule cong :premises (@p348 @p383) :args (@t9)) % 0.40/0.81 (step @p385 :rule trans :premises (@p384 @p360)) % 0.40/0.81 (step @p386 :rule eq_resolve :premises (@p1 @p385)) % 0.40/0.81 (step @p387 :rule cong :premises (@p386 @p359) :args (@t475)) % 0.40/0.81 (step @p388 :rule trans :premises (@p387 @p358)) % 0.40/0.81 (step @p389 :rule false_elim :premises (@p388)) % 0.40/0.81 (step @p390 :rule eq-symm :args (@t468 @t474)) % 0.40/0.81 (step @p391 :rule refl :args (@t476)) % 0.40/0.81 (step @p392 :rule cong :premises (@p391 @p390) :args ((=> @t476 @t477))) % 0.40/0.81 (assume-push @p400 @t476) % 0.40/0.81 (step @p394 :rule instantiate :premises (@p296) :args ((@list @t467 tptp.one_one_nat @t464))) % 0.40/0.81 (step-pop @p401 :rule scope :premises (@p394)) % 0.40/0.81 (step @p395 :rule process_scope :premises (@p401) :args (@t477)) % 0.40/0.81 (step @p397 :rule eq_resolve :premises (@p395 @p392)) % 0.40/0.81 (step @p398 :rule implies_elim :premises (@p397)) % 0.40/0.81 (step @p399 false :rule chain_m_resolution :premises (@p398 @p389 @p296) :args (false (@list true false) (@list @t475 @t476))) % 0.40/0.81 ) % 0.40/0.81 % SZS output end Proof % 0.40/0.81 % cvc5 exiting %------------------------------------------------------------------------------