%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP051^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:24:54 AM UTC 2026 % Result : Theorem 0.43s 0.83s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP051^1 : TPTP v9.2.1. Released v7.5.0. % 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 : n014.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 04:12:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.39/0.58 %----Proving TH0 % 0.43/0.83 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.43/0.83 % SZS status Theorem % 0.43/0.83 % SZS output start Proof % 0.43/0.83 ( % 0.43/0.83 (declare-sort tptp.list_P559422087at_nat 0) % 0.43/0.83 (declare-sort tptp.set_Pr1986765409at_nat 0) % 0.43/0.83 (declare-sort tptp.product_prod_nat_nat 0) % 0.43/0.83 (declare-sort tptp.b 0) % 0.43/0.83 (declare-sort tptp.set_nat 0) % 0.43/0.83 (declare-sort tptp.set_li664300135at_nat 0) % 0.43/0.83 (declare-sort tptp.set_set_nat 0) % 0.43/0.83 (declare-sort tptp.set_se1612935105at_nat 0) % 0.43/0.83 (declare-sort tptp.a 0) % 0.43/0.83 (declare-sort tptp.nat 0) % 0.43/0.83 (declare-const tptp.min_dist_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.nat tptp.nat tptp.nat)) % 0.43/0.83 (declare-const tptp.size_s1990949619at_nat (-> tptp.list_P559422087at_nat tptp.nat)) % 0.43/0.83 (declare-const tptp.isPath_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.nat tptp.list_P559422087at_nat tptp.nat Bool)) % 0.43/0.83 (declare-const tptp.min_dist_b (-> (-> tptp.product_prod_nat_nat tptp.b) tptp.nat tptp.nat tptp.nat)) % 0.43/0.83 (declare-const tptp.isPath_b (-> (-> tptp.product_prod_nat_nat tptp.b) tptp.nat tptp.list_P559422087at_nat tptp.nat Bool)) % 0.43/0.83 (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool)) % 0.43/0.83 (declare-const tptp.v_b (-> (-> tptp.product_prod_nat_nat tptp.b) tptp.set_nat)) % 0.43/0.83 (declare-const tptp.finite_finite_nat (-> tptp.set_nat Bool)) % 0.43/0.83 (declare-const tptp.v_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.set_nat)) % 0.43/0.83 (declare-const tptp.set_Pr2131844118at_nat (-> tptp.list_P559422087at_nat tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (declare-const tptp.edges tptp.set_Pr1986765409at_nat) % 0.43/0.83 (declare-const tptp.outgoing_b (-> (-> tptp.product_prod_nat_nat tptp.b) tptp.set_nat tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (declare-const tptp.collec7649004at_nat (-> (-> tptp.product_prod_nat_nat Bool) tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (declare-const tptp.e_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (declare-const tptp.collect_set_nat (-> (-> tptp.set_nat Bool) tptp.set_set_nat)) % 0.43/0.83 (declare-const tptp.member298845450at_nat (-> tptp.set_Pr1986765409at_nat tptp.set_se1612935105at_nat Bool)) % 0.43/0.83 (declare-const tptp.collec1606769740at_nat (-> (-> tptp.set_Pr1986765409at_nat Bool) tptp.set_se1612935105at_nat)) % 0.43/0.83 (declare-const tptp.zero_zero_nat tptp.nat) % 0.43/0.83 (declare-const tptp.edmond771116671s_uE_b (-> (-> tptp.product_prod_nat_nat tptp.b) tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (declare-const tptp.member_nat (-> tptp.nat tptp.set_nat Bool)) % 0.43/0.83 (declare-const tptp.edmond1022345716sure_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.nat tptp.nat tptp.nat)) % 0.43/0.83 (declare-const tptp.edmond475474836dges_b (-> (-> tptp.product_prod_nat_nat tptp.b) tptp.nat tptp.nat tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (declare-const tptp.outgoing_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.set_nat tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (declare-const tptp.edmond475474835dges_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.nat tptp.nat tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (declare-const tptp.c (-> tptp.product_prod_nat_nat tptp.a)) % 0.43/0.83 (declare-const tptp.s tptp.nat) % 0.43/0.83 (declare-const tptp.edmond771116670s_uE_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (declare-const tptp.reachableNodes_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.nat tptp.set_nat)) % 0.43/0.83 (declare-const tptp.finite772653738at_nat (-> tptp.set_Pr1986765409at_nat Bool)) % 0.43/0.83 (declare-const tptp.t tptp.nat) % 0.43/0.83 (declare-const tptp.edmond1517640972ysis_a (-> (-> tptp.product_prod_nat_nat tptp.a) Bool)) % 0.43/0.83 (declare-const tptp.incoming_b (-> (-> tptp.product_prod_nat_nat tptp.b) tptp.set_nat tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (declare-const tptp.p tptp.list_P559422087at_nat) % 0.43/0.83 (declare-const tptp.c2 (-> tptp.product_prod_nat_nat tptp.b)) % 0.43/0.83 (declare-const tptp.p2 tptp.list_P559422087at_nat) % 0.43/0.83 (declare-const tptp.incoming_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.set_nat tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (declare-const tptp.edmond1022345717sure_b (-> (-> tptp.product_prod_nat_nat tptp.b) tptp.nat tptp.nat tptp.nat)) % 0.43/0.83 (declare-const tptp.isSimplePath_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.nat tptp.list_P559422087at_nat tptp.nat Bool)) % 0.43/0.83 (declare-const tptp.edmond1517640973ysis_b (-> (-> tptp.product_prod_nat_nat tptp.b) Bool)) % 0.43/0.83 (declare-const tptp.member_set_nat (-> tptp.set_nat tptp.set_set_nat Bool)) % 0.43/0.83 (declare-const tptp.finite447719721at_nat (-> tptp.set_Pr1986765409at_nat tptp.nat)) % 0.43/0.83 (declare-const tptp.member701585322at_nat (-> tptp.product_prod_nat_nat tptp.set_Pr1986765409at_nat Bool)) % 0.43/0.83 (declare-const tptp.collect_nat (-> (-> tptp.nat Bool) tptp.set_nat)) % 0.43/0.83 (declare-const tptp.finite1457549322at_nat (-> tptp.set_se1612935105at_nat Bool)) % 0.43/0.83 (declare-const tptp.finite_card_nat (-> tptp.set_nat tptp.nat)) % 0.43/0.83 (declare-const tptp.finite83082927at_nat (-> tptp.set_li664300135at_nat tptp.nat)) % 0.43/0.83 (declare-const tptp.finite1299096496at_nat (-> tptp.set_li664300135at_nat Bool)) % 0.43/0.83 (declare-const tptp.ord_less_eq_set_nat (-> tptp.set_nat tptp.set_nat Bool)) % 0.43/0.83 (declare-const tptp.finite1701894793at_nat (-> tptp.set_se1612935105at_nat tptp.nat)) % 0.43/0.83 (declare-const tptp.ord_le116442893at_nat (-> tptp.set_Pr1986765409at_nat tptp.set_Pr1986765409at_nat Bool)) % 0.43/0.83 (declare-const tptp.finite_card_set_nat (-> tptp.set_set_nat tptp.nat)) % 0.43/0.83 (declare-const tptp.ord_less_set_nat (-> tptp.set_nat tptp.set_nat Bool)) % 0.43/0.83 (declare-const tptp.finite2012248349et_nat (-> tptp.set_set_nat Bool)) % 0.43/0.83 (declare-const tptp.isSimplePath_b (-> (-> tptp.product_prod_nat_nat tptp.b) tptp.nat tptp.list_P559422087at_nat tptp.nat Bool)) % 0.43/0.83 (declare-const tptp.adjacent_nodes_b (-> (-> tptp.product_prod_nat_nat tptp.b) tptp.nat tptp.set_nat)) % 0.43/0.83 (declare-const tptp.adjacent_nodes_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.nat tptp.set_nat)) % 0.43/0.83 (declare-const tptp.ord_le2096002913at_nat (-> tptp.set_se1612935105at_nat tptp.set_se1612935105at_nat Bool)) % 0.43/0.83 (declare-const tptp.ord_le1613022364et_nat (-> tptp.set_set_nat tptp.set_set_nat Bool)) % 0.43/0.83 (declare-const tptp.ord_le841296385at_nat (-> tptp.set_Pr1986765409at_nat tptp.set_Pr1986765409at_nat Bool)) % 0.43/0.83 (declare-const tptp.member1608759472at_nat (-> tptp.list_P559422087at_nat tptp.set_li664300135at_nat Bool)) % 0.43/0.83 (declare-const tptp.reachableNodes_b (-> (-> tptp.product_prod_nat_nat tptp.b) tptp.nat tptp.set_nat)) % 0.43/0.83 (declare-const tptp.e_b (-> (-> tptp.product_prod_nat_nat tptp.b) tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define tptp.isShortestPath_a () (let ((_let_1 (@var "V4" tptp.nat))) (let ((_let_2 (@var "U2" tptp.nat))) (let ((_let_3 (@var "C2" (-> tptp.product_prod_nat_nat tptp.a)))) (let ((_let_4 (@var "P3" tptp.list_P559422087at_nat))) (lambda (@list _let_3 _let_2 _let_4 _let_1) (and (_ (_ (_ (_ tptp.isPath_a _let_3) _let_2) _let_4) _let_1) (= (_ tptp.size_s1990949619at_nat _let_4) (_ (_ (_ tptp.min_dist_a _let_3) _let_2) _let_1))))))))) % 0.43/0.83 (define tptp.isShortestPath_b () (let ((_let_1 (@var "V4" tptp.nat))) (let ((_let_2 (@var "U2" tptp.nat))) (let ((_let_3 (@var "C2" (-> tptp.product_prod_nat_nat tptp.b)))) (let ((_let_4 (@var "P3" tptp.list_P559422087at_nat))) (lambda (@list _let_3 _let_2 _let_4 _let_1) (and (_ (_ (_ (_ tptp.isPath_b _let_3) _let_2) _let_4) _let_1) (= (_ tptp.size_s1990949619at_nat _let_4) (_ (_ (_ tptp.min_dist_b _let_3) _let_2) _let_1))))))))) % 0.43/0.83 (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))))))) % 0.43/0.83 (define tptp.connected_b () (let ((_let_1 (@var "V4" tptp.nat))) (let ((_let_2 (@var "P3" tptp.list_P559422087at_nat))) (let ((_let_3 (@var "U2" tptp.nat))) (let ((_let_4 (@var "C2" (-> tptp.product_prod_nat_nat tptp.b)))) (lambda (@list _let_4 _let_3 _let_1) (exists (@list _let_2) (_ (_ (_ (_ tptp.isPath_b _let_4) _let_3) _let_2) _let_1)))))))) % 0.43/0.83 (define tptp.connected_a () (let ((_let_1 (@var "V4" tptp.nat))) (let ((_let_2 (@var "P3" tptp.list_P559422087at_nat))) (let ((_let_3 (@var "U2" tptp.nat))) (let ((_let_4 (@var "C2" (-> tptp.product_prod_nat_nat tptp.a)))) (lambda (@list _let_4 _let_3 _let_1) (exists (@list _let_2) (_ (_ (_ (_ tptp.isPath_a _let_4) _let_3) _let_2) _let_1)))))))) % 0.43/0.83 (define tptp.dist_b () (let ((_let_1 (@var "D3" tptp.nat))) (let ((_let_2 (@var "P3" tptp.list_P559422087at_nat))) (let ((_let_3 (@var "V5" tptp.nat))) (let ((_let_4 (@var "V4" tptp.nat))) (let ((_let_5 (@var "C2" (-> tptp.product_prod_nat_nat tptp.b)))) (lambda (@list _let_5 _let_4 _let_1 _let_3) (exists (@list _let_2) (and (_ (_ (_ (_ tptp.isPath_b _let_5) _let_4) _let_2) _let_3) (= (_ tptp.size_s1990949619at_nat _let_2) _let_1)))))))))) % 0.43/0.83 (define tptp.dist_a () (let ((_let_1 (@var "D3" tptp.nat))) (let ((_let_2 (@var "P3" tptp.list_P559422087at_nat))) (let ((_let_3 (@var "V5" tptp.nat))) (let ((_let_4 (@var "V4" tptp.nat))) (let ((_let_5 (@var "C2" (-> tptp.product_prod_nat_nat tptp.a)))) (lambda (@list _let_5 _let_4 _let_1 _let_3) (exists (@list _let_2) (and (_ (_ (_ (_ tptp.isPath_a _let_5) _let_4) _let_2) _let_3) (= (_ tptp.size_s1990949619at_nat _let_2) _let_1)))))))))) % 0.43/0.83 (define tptp.finite_Graph_b () (let ((_let_1 (@var "C2" (-> tptp.product_prod_nat_nat tptp.b)))) (lambda (@list _let_1) (_ tptp.finite_finite_nat (_ tptp.v_b _let_1))))) % 0.43/0.83 (define tptp.finite_Graph_a () (let ((_let_1 (@var "C2" (-> tptp.product_prod_nat_nat tptp.a)))) (lambda (@list _let_1) (_ tptp.finite_finite_nat (_ tptp.v_a _let_1))))) % 0.43/0.83 (define @t1 () (_ tptp.min_dist_a tptp.c)) % 0.43/0.83 (define @t2 () (_ @t1 tptp.s)) % 0.43/0.83 (define @t3 () (_ @t2 tptp.t)) % 0.43/0.83 (define @t4 () (_ tptp.size_s1990949619at_nat tptp.p)) % 0.43/0.83 (define @t5 () (= @t4 @t3)) % 0.43/0.83 (define @t6 () (_ tptp.min_dist_b tptp.c2)) % 0.43/0.83 (define @t7 () (_ (_ @t6 tptp.s) tptp.t)) % 0.43/0.83 (define @t8 () (_ tptp.size_s1990949619at_nat tptp.p2)) % 0.43/0.83 (define @t9 () (= @t8 @t7)) % 0.43/0.83 (define @t10 () (_ tptp.finite_Graph_b tptp.c2)) % 0.43/0.83 (define @t11 () (_ tptp.finite_Graph_a tptp.c)) % 0.43/0.83 (define @t12 () (_ tptp.edmond771116670s_uE_a tptp.c)) % 0.43/0.83 (define @t13 () (_ tptp.edmond771116671s_uE_b tptp.c2)) % 0.43/0.83 (define @t14 () (_ tptp.isShortestPath_a tptp.c)) % 0.43/0.83 (define @t15 () (_ tptp.connected_b tptp.c2)) % 0.43/0.83 (define @t16 () (_ (_ @t15 tptp.s) tptp.t)) % 0.43/0.83 (define @t17 () (_ tptp.v_a tptp.c)) % 0.43/0.83 (define @t18 () (_ tptp.isPath_b tptp.c2)) % 0.43/0.83 (define @t19 () (_ @t18 tptp.s)) % 0.43/0.83 (define @t20 () (@var "C" (-> tptp.product_prod_nat_nat tptp.a))) % 0.43/0.83 (define @t21 () (_ tptp.edmond1517640972ysis_a @t20)) % 0.43/0.83 (define @t22 () (_ tptp.finite_Graph_a @t20)) % 0.43/0.83 (define @t23 () (@list @t20)) % 0.43/0.83 (define @t24 () (@var "C" (-> tptp.product_prod_nat_nat tptp.b))) % 0.43/0.83 (define @t25 () (_ tptp.edmond1517640973ysis_b @t24)) % 0.43/0.83 (define @t26 () (_ tptp.finite_Graph_b @t24)) % 0.43/0.83 (define @t27 () (@list @t24)) % 0.43/0.83 (define @t28 () (_ tptp.dist_b tptp.c2)) % 0.43/0.83 (define @t29 () (@var "P" tptp.list_P559422087at_nat)) % 0.43/0.83 (define @t30 () (@list @t29)) % 0.43/0.83 (define @t31 () (_ tptp.connected_a tptp.c)) % 0.43/0.83 (define @t32 () (@var "D2" tptp.nat)) % 0.43/0.83 (define @t33 () (@var "V2" tptp.nat)) % 0.43/0.83 (define @t34 () (@var "Src" tptp.nat)) % 0.43/0.83 (define @t35 () (_ @t1 @t34)) % 0.43/0.83 (define @t36 () (_ @t31 @t34)) % 0.43/0.83 (define @t37 () (@list @t33)) % 0.43/0.83 (define @t38 () (exists @t37 (and (_ @t36 @t33) (= (_ @t35 @t33) @t32)))) % 0.43/0.83 (define @t39 () (@var "D" tptp.nat)) % 0.43/0.83 (define @t40 () (_ (_ tptp.ord_less_nat @t32) @t39)) % 0.43/0.83 (define @t41 () (@var "V" tptp.nat)) % 0.43/0.83 (define @t42 () (_ @t35 @t41)) % 0.43/0.83 (define @t43 () (_ @t36 @t41)) % 0.43/0.83 (define @t44 () (@list @t34 @t41 @t39 @t32)) % 0.43/0.83 (define @t45 () (_ @t6 @t34)) % 0.43/0.83 (define @t46 () (_ @t15 @t34)) % 0.43/0.83 (define @t47 () (exists @t37 (and (_ @t46 @t33) (= (_ @t45 @t33) @t32)))) % 0.43/0.83 (define @t48 () (_ @t45 @t41)) % 0.43/0.83 (define @t49 () (_ @t46 @t41)) % 0.43/0.83 (define @t50 () (@var "Xs" tptp.list_P559422087at_nat)) % 0.43/0.83 (define @t51 () (@var "P2" (-> tptp.list_P559422087at_nat Bool))) % 0.43/0.83 (define @t52 () (@var "Xs2" tptp.list_P559422087at_nat)) % 0.43/0.83 (define @t53 () (@var "Ys" tptp.list_P559422087at_nat)) % 0.43/0.83 (define @t54 () (_ tptp.size_s1990949619at_nat @t52)) % 0.43/0.83 (define @t55 () (@list @t52)) % 0.43/0.83 (define @t56 () (_ (_ (_ tptp.edmond475474835dges_a tptp.c) tptp.s) tptp.t)) % 0.43/0.83 (define @t57 () (_ (_ (_ tptp.edmond475474836dges_b tptp.c2) tptp.s) tptp.t)) % 0.43/0.83 (define @t58 () (_ @t1 @t41)) % 0.43/0.83 (define @t59 () (@list @t41)) % 0.43/0.83 (define @t60 () (_ @t6 @t41)) % 0.43/0.83 (define @t61 () (@var "P3" tptp.list_P559422087at_nat)) % 0.43/0.83 (define @t62 () (@var "U" tptp.nat)) % 0.43/0.83 (define @t63 () (_ @t18 @t62)) % 0.43/0.83 (define @t64 () (@list @t61)) % 0.43/0.83 (define @t65 () (_ (_ @t15 @t62) @t41)) % 0.43/0.83 (define @t66 () (@list @t62 @t41)) % 0.43/0.83 (define @t67 () (_ tptp.member_nat @t62)) % 0.43/0.83 (define @t68 () (_ @t67 @t17)) % 0.43/0.83 (define @t69 () (_ tptp.member_nat @t41)) % 0.43/0.83 (define @t70 () (_ (_ @t31 @t62) @t41)) % 0.43/0.83 (define @t71 () (@var "V3" tptp.nat)) % 0.43/0.83 (define @t72 () (@var "D3" tptp.nat)) % 0.43/0.83 (define @t73 () (_ @t28 @t41)) % 0.43/0.83 (define @t74 () (@list @t72)) % 0.43/0.83 (define @t75 () (_ @t15 @t41)) % 0.43/0.83 (define @t76 () (_ @t75 @t71)) % 0.43/0.83 (define @t77 () (@list @t41 @t71)) % 0.43/0.83 (define @t78 () (@var "P4" tptp.list_P559422087at_nat)) % 0.43/0.83 (define @t79 () (_ @t14 @t62)) % 0.43/0.83 (define @t80 () (@list @t78)) % 0.43/0.83 (define @t81 () (@var "P5" tptp.list_P559422087at_nat)) % 0.43/0.83 (define @t82 () (_ tptp.size_s1990949619at_nat @t81)) % 0.43/0.83 (define @t83 () (_ (_ @t63 @t81) @t41)) % 0.43/0.83 (define @t84 () (@list @t62 @t81 @t41)) % 0.43/0.83 (define @t85 () (_ tptp.size_s1990949619at_nat @t61)) % 0.43/0.83 (define @t86 () (= @t85 @t39)) % 0.43/0.83 (define @t87 () (_ (_ @t73 @t39) @t71)) % 0.43/0.83 (define @t88 () (@list @t41 @t39 @t71)) % 0.43/0.83 (define @t89 () (_ @t60 @t71)) % 0.43/0.83 (define @t90 () (_ @t31 @t41)) % 0.43/0.83 (define @t91 () (= @t71 @t41)) % 0.43/0.83 (define @t92 () (_ @t73 tptp.zero_zero_nat)) % 0.43/0.83 (define @t93 () (@var "A" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t94 () (@var "P2" (-> tptp.set_Pr1986765409at_nat Bool))) % 0.43/0.83 (define @t95 () (_ tptp.member298845450at_nat @t93)) % 0.43/0.83 (define @t96 () (@var "A" tptp.set_nat)) % 0.43/0.83 (define @t97 () (@var "P2" (-> tptp.set_nat Bool))) % 0.43/0.83 (define @t98 () (_ tptp.member_set_nat @t96)) % 0.43/0.83 (define @t99 () (@var "A" tptp.product_prod_nat_nat)) % 0.43/0.83 (define @t100 () (@var "P2" (-> tptp.product_prod_nat_nat Bool))) % 0.43/0.83 (define @t101 () (_ tptp.collec7649004at_nat @t100)) % 0.43/0.83 (define @t102 () (@var "A" tptp.nat)) % 0.43/0.83 (define @t103 () (@var "P2" (-> tptp.nat Bool))) % 0.43/0.83 (define @t104 () (_ tptp.collect_nat @t103)) % 0.43/0.83 (define @t105 () (_ tptp.member_nat @t102)) % 0.43/0.83 (define @t106 () (@var "A2" tptp.set_se1612935105at_nat)) % 0.43/0.83 (define @t107 () (@var "X" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t108 () (@list @t106)) % 0.43/0.83 (define @t109 () (@var "A2" tptp.set_set_nat)) % 0.43/0.83 (define @t110 () (@var "X" tptp.set_nat)) % 0.43/0.83 (define @t111 () (@list @t109)) % 0.43/0.83 (define @t112 () (@var "A2" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t113 () (@var "X" tptp.product_prod_nat_nat)) % 0.43/0.83 (define @t114 () (@list @t113)) % 0.43/0.83 (define @t115 () (@list @t112)) % 0.43/0.83 (define @t116 () (@var "A2" tptp.set_nat)) % 0.43/0.83 (define @t117 () (@var "X" tptp.nat)) % 0.43/0.83 (define @t118 () (@list @t117)) % 0.43/0.83 (define @t119 () (@list @t116)) % 0.43/0.83 (define @t120 () (@var "Q" (-> tptp.nat Bool))) % 0.43/0.83 (define @t121 () (_ tptp.collect_nat @t120)) % 0.43/0.83 (define @t122 () (@var "X2" tptp.nat)) % 0.43/0.83 (define @t123 () (_ @t103 @t122)) % 0.43/0.83 (define @t124 () (@list @t122)) % 0.43/0.83 (define @t125 () (@list @t103 @t120)) % 0.43/0.83 (define @t126 () (@var "Q" (-> tptp.product_prod_nat_nat Bool))) % 0.43/0.83 (define @t127 () (_ tptp.collec7649004at_nat @t126)) % 0.43/0.83 (define @t128 () (@var "X2" tptp.product_prod_nat_nat)) % 0.43/0.83 (define @t129 () (@list @t128)) % 0.43/0.83 (define @t130 () (@list @t100 @t126)) % 0.43/0.83 (define @t131 () (_ @t58 @t71)) % 0.43/0.83 (define @t132 () (_ @t90 @t71)) % 0.43/0.83 (define @t133 () (_ tptp.edmond771116671s_uE_b @t24)) % 0.43/0.83 (define @t134 () (_ tptp.edmond771116670s_uE_a @t20)) % 0.43/0.83 (define @t135 () (@var "T" tptp.nat)) % 0.43/0.83 (define @t136 () (@var "S" tptp.nat)) % 0.43/0.83 (define @t137 () (_ (_ (_ tptp.edmond475474835dges_a @t20) @t136) @t135)) % 0.43/0.83 (define @t138 () (@list @t20 @t136 @t135)) % 0.43/0.83 (define @t139 () (_ (_ (_ tptp.edmond475474836dges_b @t24) @t136) @t135)) % 0.43/0.83 (define @t140 () (@list @t24 @t136 @t135)) % 0.43/0.83 (define @t141 () (@var "Ys2" tptp.list_P559422087at_nat)) % 0.43/0.83 (define @t142 () (@var "N" tptp.nat)) % 0.43/0.83 (define @t143 () (@list @t142)) % 0.43/0.83 (define @t144 () (_ tptp.ord_less_nat tptp.zero_zero_nat)) % 0.43/0.83 (define @t145 () (= @t102 tptp.zero_zero_nat)) % 0.43/0.83 (define @t146 () (@list @t102)) % 0.43/0.83 (define @t147 () (_ tptp.ord_less_nat @t142)) % 0.43/0.83 (define @t148 () (_ @t144 @t142)) % 0.43/0.83 (define @t149 () (= @t142 tptp.zero_zero_nat)) % 0.43/0.83 (define @t150 () (not @t149)) % 0.43/0.83 (define @t151 () (= @t82 (_ (_ @t6 @t62) @t41))) % 0.43/0.83 (define @t152 () (_ tptp.isShortestPath_b tptp.c2)) % 0.43/0.83 (define @t153 () (_ @t152 @t62)) % 0.43/0.83 (define @t154 () (_ (_ @t153 @t81) @t41)) % 0.43/0.83 (define @t155 () (@var "D4" tptp.nat)) % 0.43/0.83 (define @t156 () (_ @t120 @t155)) % 0.43/0.83 (define @t157 () (@var "D5" tptp.nat)) % 0.43/0.83 (define @t158 () (_ (_ tptp.ord_less_eq_nat @t155) @t157)) % 0.43/0.83 (define @t159 () (@list @t157)) % 0.43/0.83 (define @t160 () (@list @t155)) % 0.43/0.83 (define @t161 () (@list @t41 @t71 @t120)) % 0.43/0.83 (define @t162 () (_ tptp.finite_card_nat @t17)) % 0.43/0.83 (define @t163 () (_ tptp.ord_less_nat @t82)) % 0.43/0.83 (define @t164 () (_ @t163 @t162)) % 0.43/0.83 (define @t165 () (_ (_ (_ @t14 @t136) @t81) @t135)) % 0.43/0.83 (define @t166 () (_ tptp.member_nat @t136)) % 0.43/0.83 (define @t167 () (_ @t166 @t17)) % 0.43/0.83 (define @t168 () (@list @t136 @t81 @t135)) % 0.43/0.83 (define @t169 () (@list @t136 @t135)) % 0.43/0.83 (define @t170 () (_ tptp.isPath_a tptp.c)) % 0.43/0.83 (define @t171 () (_ @t170 @t62)) % 0.43/0.83 (define @t172 () (_ (_ @t171 @t81) @t41)) % 0.43/0.83 (define @t173 () (_ (_ @t79 @t81) @t41)) % 0.43/0.83 (define @t174 () (_ tptp.ord_less_eq_nat @t32)) % 0.43/0.83 (define @t175 () (@list @t34 @t41 @t32)) % 0.43/0.83 (define @t176 () (@var "D6" tptp.nat)) % 0.43/0.83 (define @t177 () (_ (_ tptp.ord_less_eq_nat @t39) @t176)) % 0.43/0.83 (define @t178 () (@list @t176)) % 0.43/0.83 (define @t179 () (@var "P6" tptp.list_P559422087at_nat)) % 0.43/0.83 (define @t180 () (_ tptp.size_s1990949619at_nat @t179)) % 0.43/0.83 (define @t181 () (_ (_ tptp.ord_less_eq_nat @t82) @t180)) % 0.43/0.83 (define @t182 () (@list @t179)) % 0.43/0.83 (define @t183 () (= @t82 (_ (_ @t1 @t62) @t41))) % 0.43/0.83 (define @t184 () (_ tptp.ord_less_eq_nat @t142)) % 0.43/0.83 (define @t185 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat)) % 0.43/0.83 (define @t186 () (@var "X3" tptp.nat)) % 0.43/0.83 (define @t187 () (@list @t186)) % 0.43/0.83 (define @t188 () (@var "K" tptp.nat)) % 0.43/0.83 (define @t189 () (@var "I" tptp.nat)) % 0.43/0.83 (define @t190 () (_ tptp.ord_less_eq_nat @t189)) % 0.43/0.83 (define @t191 () (@var "J" tptp.nat)) % 0.43/0.83 (define @t192 () (_ @t190 @t191)) % 0.43/0.83 (define @t193 () (@var "M" tptp.nat)) % 0.43/0.83 (define @t194 () (_ (_ tptp.ord_less_eq_nat @t193) @t142)) % 0.43/0.83 (define @t195 () (= @t193 @t142)) % 0.43/0.83 (define @t196 () (@list @t193 @t142)) % 0.43/0.83 (define @t197 () (_ @t184 @t193)) % 0.43/0.83 (define @t198 () (=> @t197 @t195)) % 0.43/0.83 (define @t199 () (=> @t194 @t198)) % 0.43/0.83 (define @t200 () (forall @t196 @t199)) % 0.43/0.83 (define @t201 () (@var "Y2" tptp.nat)) % 0.43/0.83 (define @t202 () (@var "B" tptp.nat)) % 0.43/0.83 (define @t203 () (@var "Y" tptp.nat)) % 0.43/0.83 (define @t204 () (_ tptp.ord_less_eq_nat @t102)) % 0.43/0.83 (define @t205 () (_ @t204 tptp.zero_zero_nat)) % 0.43/0.83 (define @t206 () (_ (_ tptp.ord_less_nat @t193) @t142)) % 0.43/0.83 (define @t207 () (@var "N2" tptp.nat)) % 0.43/0.83 (define @t208 () (@var "M2" tptp.nat)) % 0.43/0.83 (define @t209 () (= @t208 @t207)) % 0.43/0.83 (define @t210 () (@list @t208 @t207)) % 0.43/0.83 (define @t211 () (not @t195)) % 0.43/0.83 (define @t212 () (@var "F" (-> tptp.nat tptp.nat))) % 0.43/0.83 (define @t213 () (@var "J2" tptp.nat)) % 0.43/0.83 (define @t214 () (@var "I2" tptp.nat)) % 0.43/0.83 (define @t215 () (@var "K2" tptp.nat)) % 0.43/0.83 (define @t216 () (@var "I3" tptp.nat)) % 0.43/0.83 (define @t217 () (_ @t103 tptp.zero_zero_nat)) % 0.43/0.83 (define @t218 () (_ @t103 @t142)) % 0.43/0.83 (define @t219 () (@list @t103 @t142)) % 0.43/0.83 (define @t220 () (_ tptp.min_dist_b @t24)) % 0.43/0.83 (define @t221 () (_ @t220 @t34)) % 0.43/0.83 (define @t222 () (_ tptp.connected_b @t24)) % 0.43/0.83 (define @t223 () (_ @t222 @t34)) % 0.43/0.83 (define @t224 () (exists @t37 (and (_ @t223 @t33) (= (_ @t221 @t33) @t32)))) % 0.43/0.83 (define @t225 () (_ @t221 @t41)) % 0.43/0.83 (define @t226 () (_ @t223 @t41)) % 0.43/0.83 (define @t227 () (_ tptp.min_dist_a @t20)) % 0.43/0.83 (define @t228 () (_ @t227 @t34)) % 0.43/0.83 (define @t229 () (_ tptp.connected_a @t20)) % 0.43/0.83 (define @t230 () (_ @t229 @t34)) % 0.43/0.83 (define @t231 () (exists @t37 (and (_ @t230 @t33) (= (_ @t228 @t33) @t32)))) % 0.43/0.83 (define @t232 () (_ @t228 @t41)) % 0.43/0.83 (define @t233 () (_ @t230 @t41)) % 0.43/0.83 (define @t234 () (_ @t227 @t41)) % 0.43/0.83 (define @t235 () (_ @t234 @t71)) % 0.43/0.83 (define @t236 () (_ tptp.dist_a @t20)) % 0.43/0.83 (define @t237 () (_ @t236 @t41)) % 0.43/0.83 (define @t238 () (_ (_ @t237 @t39) @t71)) % 0.43/0.83 (define @t239 () (@list @t20 @t41 @t39 @t71)) % 0.43/0.83 (define @t240 () (_ @t220 @t41)) % 0.43/0.83 (define @t241 () (_ @t240 @t71)) % 0.43/0.83 (define @t242 () (_ tptp.dist_b @t24)) % 0.43/0.83 (define @t243 () (_ @t242 @t41)) % 0.43/0.83 (define @t244 () (_ (_ @t243 @t39) @t71)) % 0.43/0.83 (define @t245 () (@list @t24 @t41 @t39 @t71)) % 0.43/0.83 (define @t246 () (_ @t222 @t41)) % 0.43/0.83 (define @t247 () (_ @t246 @t71)) % 0.43/0.83 (define @t248 () (_ @t229 @t41)) % 0.43/0.83 (define @t249 () (_ @t248 @t71)) % 0.43/0.83 (define @t250 () (_ (_ tptp.ord_less_eq_nat @t85) @t180)) % 0.43/0.83 (define @t251 () (@var "V4" tptp.nat)) % 0.43/0.83 (define @t252 () (@var "U2" tptp.nat)) % 0.43/0.83 (define @t253 () (@var "C2" (-> tptp.product_prod_nat_nat tptp.a))) % 0.43/0.83 (define @t254 () (_ tptp.isPath_a @t253)) % 0.43/0.83 (define @t255 () (_ @t254 @t252)) % 0.43/0.83 (define @t256 () (_ (_ @t255 @t61) @t251)) % 0.43/0.83 (define @t257 () (@list @t253 @t252 @t61 @t251)) % 0.43/0.83 (define @t258 () (@var "C2" (-> tptp.product_prod_nat_nat tptp.b))) % 0.43/0.83 (define @t259 () (_ tptp.isPath_b @t258)) % 0.43/0.83 (define @t260 () (_ @t259 @t252)) % 0.43/0.83 (define @t261 () (_ (_ @t260 @t61) @t251)) % 0.43/0.83 (define @t262 () (@list @t258 @t252 @t61 @t251)) % 0.43/0.83 (define @t263 () (_ @t147 @t193)) % 0.43/0.83 (define @t264 () (@var "N3" tptp.nat)) % 0.43/0.83 (define @t265 () (_ @t103 @t264)) % 0.43/0.83 (define @t266 () (@var "M3" tptp.nat)) % 0.43/0.83 (define @t267 () (_ @t103 @t266)) % 0.43/0.83 (define @t268 () (_ (_ tptp.ord_less_nat @t266) @t264)) % 0.43/0.83 (define @t269 () (@list @t266)) % 0.43/0.83 (define @t270 () (@list @t264)) % 0.43/0.83 (define @t271 () (=> (not @t265) (exists @t269 (and @t268 (not @t267))))) % 0.43/0.83 (define @t272 () (@var "Y3" tptp.nat)) % 0.43/0.83 (define @t273 () (@var "Y3" tptp.list_P559422087at_nat)) % 0.43/0.83 (define @t274 () (@var "X3" tptp.list_P559422087at_nat)) % 0.43/0.83 (define @t275 () (@list @t24 @t41)) % 0.43/0.83 (define @t276 () (@list @t20 @t41)) % 0.43/0.83 (define @t277 () (_ tptp.v_b @t24)) % 0.43/0.83 (define @t278 () (_ tptp.finite_card_nat @t277)) % 0.43/0.83 (define @t279 () (_ @t166 @t277)) % 0.43/0.83 (define @t280 () (_ tptp.v_a @t20)) % 0.43/0.83 (define @t281 () (_ tptp.finite_card_nat @t280)) % 0.43/0.83 (define @t282 () (_ @t166 @t280)) % 0.43/0.83 (define @t283 () (_ @t163 @t281)) % 0.43/0.83 (define @t284 () (_ tptp.isShortestPath_a @t20)) % 0.43/0.83 (define @t285 () (_ (_ (_ @t284 @t136) @t81) @t135)) % 0.43/0.83 (define @t286 () (@list @t20 @t136 @t81 @t135)) % 0.43/0.83 (define @t287 () (_ @t163 @t278)) % 0.43/0.83 (define @t288 () (_ tptp.isShortestPath_b @t24)) % 0.43/0.83 (define @t289 () (_ (_ (_ @t288 @t136) @t81) @t135)) % 0.43/0.83 (define @t290 () (@list @t24 @t136 @t81 @t135)) % 0.43/0.83 (define @t291 () (_ @t243 tptp.zero_zero_nat)) % 0.43/0.83 (define @t292 () (_ @t237 tptp.zero_zero_nat)) % 0.43/0.83 (define @t293 () (@list @t24 @t41 @t71)) % 0.43/0.83 (define @t294 () (@list @t20 @t41 @t71)) % 0.43/0.83 (define @t295 () (_ @t67 @t277)) % 0.43/0.83 (define @t296 () (_ (_ @t222 @t62) @t41)) % 0.43/0.83 (define @t297 () (@list @t24 @t62 @t41)) % 0.43/0.83 (define @t298 () (_ @t67 @t280)) % 0.43/0.83 (define @t299 () (_ (_ @t229 @t62) @t41)) % 0.43/0.83 (define @t300 () (@list @t20 @t62 @t41)) % 0.43/0.83 (define @t301 () (_ tptp.isPath_a @t20)) % 0.43/0.83 (define @t302 () (_ (_ (_ @t301 @t62) @t81) @t41)) % 0.43/0.83 (define @t303 () (_ @t284 @t62)) % 0.43/0.83 (define @t304 () (@list @t20 @t62 @t81 @t41)) % 0.43/0.83 (define @t305 () (_ tptp.isPath_b @t24)) % 0.43/0.83 (define @t306 () (_ (_ (_ @t305 @t62) @t81) @t41)) % 0.43/0.83 (define @t307 () (_ @t288 @t62)) % 0.43/0.83 (define @t308 () (@list @t24 @t62 @t81 @t41)) % 0.43/0.83 (define @t309 () (@var "V5" tptp.nat)) % 0.43/0.83 (define @t310 () (@var "A2" tptp.set_li664300135at_nat)) % 0.43/0.83 (define @t311 () (_ tptp.finite83082927at_nat @t310)) % 0.43/0.83 (define @t312 () (_ tptp.finite1299096496at_nat @t310)) % 0.43/0.83 (define @t313 () (@list @t310)) % 0.43/0.83 (define @t314 () (_ tptp.finite1701894793at_nat @t106)) % 0.43/0.83 (define @t315 () (_ tptp.finite1457549322at_nat @t106)) % 0.43/0.83 (define @t316 () (_ tptp.finite_card_set_nat @t109)) % 0.43/0.83 (define @t317 () (_ tptp.finite2012248349et_nat @t109)) % 0.43/0.83 (define @t318 () (_ tptp.finite447719721at_nat @t112)) % 0.43/0.83 (define @t319 () (_ tptp.finite772653738at_nat @t112)) % 0.43/0.83 (define @t320 () (not @t319)) % 0.43/0.83 (define @t321 () (_ tptp.finite_card_nat @t116)) % 0.43/0.83 (define @t322 () (_ tptp.finite_finite_nat @t116)) % 0.43/0.83 (define @t323 () (not @t322)) % 0.43/0.83 (define @t324 () (_ tptp.isSimplePath_a tptp.c)) % 0.43/0.83 (define @t325 () (_ (_ (_ @t324 @t62) @t81) @t41)) % 0.43/0.83 (define @t326 () (_ tptp.dist_a tptp.c)) % 0.43/0.83 (define @t327 () (_ @t326 @t41)) % 0.43/0.83 (define @t328 () (_ tptp.isSimplePath_b tptp.c2)) % 0.43/0.83 (define @t329 () (_ (_ (_ @t328 @t62) @t81) @t41)) % 0.43/0.83 (define @t330 () (_ tptp.v_b tptp.c2)) % 0.43/0.83 (define @t331 () (_ @t67 @t330)) % 0.43/0.83 (define @t332 () (_ @t328 @t136)) % 0.43/0.83 (define @t333 () (_ @t324 @t136)) % 0.43/0.83 (define @t334 () (_ (_ (_ @t152 @t136) @t81) @t135)) % 0.43/0.83 (define @t335 () (_ (_ @t327 @t39) @t71)) % 0.43/0.83 (define @t336 () (_ tptp.finite_card_nat @t330)) % 0.43/0.83 (define @t337 () (_ @t163 @t336)) % 0.43/0.83 (define @t338 () (_ @t166 @t330)) % 0.43/0.83 (define @t339 () (_ tptp.finite_finite_nat @t330)) % 0.43/0.83 (define @t340 () (_ tptp.finite_finite_nat @t17)) % 0.43/0.83 (define @t341 () (_ @t327 tptp.zero_zero_nat)) % 0.43/0.83 (define @t342 () (_ (_ tptp.adjacent_nodes_b tptp.c2) @t62)) % 0.43/0.83 (define @t343 () (@list @t62)) % 0.43/0.83 (define @t344 () (_ (_ tptp.adjacent_nodes_a tptp.c) @t62)) % 0.43/0.83 (define @t345 () (@var "B2" tptp.set_se1612935105at_nat)) % 0.43/0.83 (define @t346 () (@var "B2" tptp.set_set_nat)) % 0.43/0.83 (define @t347 () (@var "B2" tptp.set_nat)) % 0.43/0.83 (define @t348 () (_ tptp.finite_finite_nat @t347)) % 0.43/0.83 (define @t349 () (_ tptp.ord_less_eq_set_nat @t116)) % 0.43/0.83 (define @t350 () (_ @t349 @t347)) % 0.43/0.83 (define @t351 () (@list @t116 @t347)) % 0.43/0.83 (define @t352 () (@var "B2" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t353 () (_ tptp.finite772653738at_nat @t352)) % 0.43/0.83 (define @t354 () (_ tptp.ord_le841296385at_nat @t112)) % 0.43/0.83 (define @t355 () (_ @t354 @t352)) % 0.43/0.83 (define @t356 () (@list @t112 @t352)) % 0.43/0.83 (define @t357 () (@var "T2" tptp.set_nat)) % 0.43/0.83 (define @t358 () (@var "S2" tptp.set_nat)) % 0.43/0.83 (define @t359 () (@var "T2" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t360 () (@var "S2" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t361 () (@list @t347 @t116)) % 0.43/0.83 (define @t362 () (@list @t352 @t112)) % 0.43/0.83 (define @t363 () (= @t116 @t347)) % 0.43/0.83 (define @t364 () (_ tptp.finite_card_nat @t347)) % 0.43/0.83 (define @t365 () (= @t112 @t352)) % 0.43/0.83 (define @t366 () (_ tptp.finite447719721at_nat @t352)) % 0.43/0.83 (define @t367 () (@var "B3" tptp.set_nat)) % 0.43/0.83 (define @t368 () (@var "B3" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t369 () (_ tptp.isSimplePath_a @t20)) % 0.43/0.83 (define @t370 () (_ @t369 @t136)) % 0.43/0.83 (define @t371 () (_ tptp.isSimplePath_b @t24)) % 0.43/0.83 (define @t372 () (_ @t371 @t136)) % 0.43/0.83 (define @t373 () (@var "X4" tptp.list_P559422087at_nat)) % 0.43/0.83 (define @t374 () (@var "M4" tptp.set_li664300135at_nat)) % 0.43/0.83 (define @t375 () (_ (_ tptp.ord_less_set_nat @t116) @t347)) % 0.43/0.83 (define @t376 () (_ (_ tptp.ord_less_nat @t321) @t364)) % 0.43/0.83 (define @t377 () (_ (_ tptp.ord_le116442893at_nat @t112) @t352)) % 0.43/0.83 (define @t378 () (_ (_ tptp.ord_less_nat @t318) @t366)) % 0.43/0.83 (define @t379 () (@var "C3" tptp.nat)) % 0.43/0.83 (define @t380 () (@var "F2" tptp.set_nat)) % 0.43/0.83 (define @t381 () (@var "G" tptp.set_nat)) % 0.43/0.83 (define @t382 () (@var "F2" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t383 () (@var "G" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t384 () (_ tptp.finite_finite_nat @t277)) % 0.43/0.83 (define @t385 () (_ tptp.finite_finite_nat @t280)) % 0.43/0.83 (define @t386 () (@var "A3" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t387 () (@var "B4" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t388 () (@var "A3" tptp.set_nat)) % 0.43/0.83 (define @t389 () (@var "B4" tptp.set_nat)) % 0.43/0.83 (define @t390 () (= @t85 (_ (_ (_ tptp.min_dist_a @t253) @t252) @t251))) % 0.43/0.83 (define @t391 () (= @t85 (_ (_ (_ tptp.min_dist_b @t258) @t252) @t251))) % 0.43/0.83 (define @t392 () (@var "Xa" tptp.nat)) % 0.43/0.83 (define @t393 () (= @t122 @t392)) % 0.43/0.83 (define @t394 () (_ (_ tptp.member_nat @t392) @t116)) % 0.43/0.83 (define @t395 () (@list @t392)) % 0.43/0.83 (define @t396 () (_ tptp.ord_less_eq_nat @t122)) % 0.43/0.83 (define @t397 () (_ tptp.member_nat @t122)) % 0.43/0.83 (define @t398 () (_ @t397 @t116)) % 0.43/0.83 (define @t399 () (_ @t105 @t116)) % 0.43/0.83 (define @t400 () (@list @t116 @t102)) % 0.43/0.83 (define @t401 () (@var "Xa" tptp.set_nat)) % 0.43/0.83 (define @t402 () (@var "X2" tptp.set_nat)) % 0.43/0.83 (define @t403 () (= @t402 @t401)) % 0.43/0.83 (define @t404 () (_ (_ tptp.member_set_nat @t401) @t109)) % 0.43/0.83 (define @t405 () (@list @t401)) % 0.43/0.83 (define @t406 () (_ tptp.ord_less_eq_set_nat @t402)) % 0.43/0.83 (define @t407 () (_ (_ tptp.member_set_nat @t402) @t109)) % 0.43/0.83 (define @t408 () (@list @t402)) % 0.43/0.83 (define @t409 () (_ @t98 @t109)) % 0.43/0.83 (define @t410 () (@list @t109 @t96)) % 0.43/0.83 (define @t411 () (@var "Xa" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t412 () (@var "X2" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t413 () (= @t412 @t411)) % 0.43/0.83 (define @t414 () (_ (_ tptp.member298845450at_nat @t411) @t106)) % 0.43/0.83 (define @t415 () (@list @t411)) % 0.43/0.83 (define @t416 () (_ tptp.ord_le841296385at_nat @t412)) % 0.43/0.83 (define @t417 () (_ (_ tptp.member298845450at_nat @t412) @t106)) % 0.43/0.83 (define @t418 () (@list @t412)) % 0.43/0.83 (define @t419 () (_ @t95 @t106)) % 0.43/0.83 (define @t420 () (@list @t106 @t93)) % 0.43/0.83 (define @t421 () (@list @t136)) % 0.43/0.83 (define @t422 () (_ tptp.e_a tptp.c)) % 0.43/0.83 (define @t423 () (_ tptp.finite772653738at_nat @t422)) % 0.43/0.83 (define @t424 () (_ tptp.e_a @t20)) % 0.43/0.83 (define @t425 () (_ tptp.finite772653738at_nat @t424)) % 0.43/0.83 (define @t426 () (_ tptp.e_b @t24)) % 0.43/0.83 (define @t427 () (_ tptp.finite772653738at_nat @t426)) % 0.43/0.83 (define @t428 () (_ (_ tptp.adjacent_nodes_b @t24) @t62)) % 0.43/0.83 (define @t429 () (@list @t24 @t62)) % 0.43/0.83 (define @t430 () (_ (_ tptp.adjacent_nodes_a @t20) @t62)) % 0.43/0.83 (define @t431 () (@list @t20 @t62)) % 0.43/0.83 (define @t432 () (@var "U3" tptp.set_nat)) % 0.43/0.83 (define @t433 () (_ (_ tptp.incoming_a tptp.c) @t432)) % 0.43/0.83 (define @t434 () (@list @t432)) % 0.43/0.83 (define @t435 () (_ (_ tptp.outgoing_a tptp.c) @t432)) % 0.43/0.83 (define @t436 () (_ tptp.e_b tptp.c2)) % 0.43/0.83 (define @t437 () (_ tptp.finite772653738at_nat @t436)) % 0.43/0.83 (define @t438 () (_ (_ tptp.outgoing_a @t20) @t432)) % 0.43/0.83 (define @t439 () (@list @t20 @t432)) % 0.43/0.83 (define @t440 () (_ (_ tptp.outgoing_b @t24) @t432)) % 0.43/0.83 (define @t441 () (@list @t24 @t432)) % 0.43/0.83 (define @t442 () (_ (_ tptp.incoming_a @t20) @t432)) % 0.43/0.83 (define @t443 () (_ (_ tptp.incoming_b @t24) @t432)) % 0.43/0.83 (define @t444 () (_ (_ tptp.incoming_b tptp.c2) @t432)) % 0.43/0.83 (define @t445 () (_ (_ tptp.outgoing_b tptp.c2) @t432)) % 0.43/0.83 (define @t446 () (_ tptp.ord_le841296385at_nat tptp.edges)) % 0.43/0.83 (define @t447 () (_ tptp.ord_less_eq_set_nat @t347)) % 0.43/0.83 (define @t448 () (_ tptp.ord_le841296385at_nat @t352)) % 0.43/0.83 (define @t449 () (_ tptp.member701585322at_nat @t128)) % 0.43/0.83 (define @t450 () (@var "A4" tptp.set_nat)) % 0.43/0.83 (define @t451 () (@var "B5" tptp.set_nat)) % 0.43/0.83 (define @t452 () (@var "Z" tptp.set_nat)) % 0.43/0.83 (define @t453 () (@var "Y4" tptp.set_nat)) % 0.43/0.83 (define @t454 () (@var "A4" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t455 () (@var "B5" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t456 () (@var "Z" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t457 () (@var "Y4" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t458 () (@var "C3" tptp.set_nat)) % 0.43/0.83 (define @t459 () (@var "C3" tptp.set_Pr1986765409at_nat)) % 0.43/0.83 (define @t460 () (lambda @t257 (and @t256 @t390))) % 0.43/0.83 (define @t461 () (lambda @t262 (and @t261 @t391))) % 0.43/0.83 (define @t462 () (lambda @t210 (and (_ (_ tptp.ord_less_eq_nat @t208) @t207) (not @t209)))) % 0.43/0.83 (define @t463 () (lambda (@list @t258 @t252 @t251) (exists @t64 @t261))) % 0.43/0.83 (define @t464 () (lambda (@list @t253 @t252 @t251) (exists @t64 @t256))) % 0.43/0.83 (define @t465 () (= @t85 @t72)) % 0.43/0.83 (define @t466 () (lambda (@list @t258 @t251 @t72 @t309) (exists @t64 (and (_ (_ (_ @t259 @t251) @t61) @t309) @t465)))) % 0.43/0.83 (define @t467 () (lambda (@list @t253 @t251 @t72 @t309) (exists @t64 (and (_ (_ (_ @t254 @t251) @t61) @t309) @t465)))) % 0.43/0.83 (define @t468 () (lambda (@list @t258) (_ tptp.finite_finite_nat (_ tptp.v_b @t258)))) % 0.43/0.83 (define @t469 () (lambda (@list @t253) (_ tptp.finite_finite_nat (_ tptp.v_a @t253)))) % 0.43/0.83 (define @t470 () (= @t142 @t193)) % 0.43/0.83 (define @t471 () (tptp.ord_less_eq_nat @t142 @t193)) % 0.43/0.83 (define @t472 () (not @t197)) % 0.43/0.83 (define @t473 () (tptp.ord_less_eq_nat @t193 @t142)) % 0.43/0.83 (define @t474 () (not @t194)) % 0.43/0.83 (define @t475 () (or @t474 @t472 @t470)) % 0.43/0.83 (define @t476 () (=> @t197 @t470)) % 0.43/0.83 (define @t477 () (tptp.size_s1990949619at_nat tptp.p2)) % 0.43/0.83 (define @t478 () (tptp.size_s1990949619at_nat tptp.p)) % 0.43/0.83 (define @t479 () (= @t4 @t8)) % 0.43/0.83 (define @t480 () (not @t479)) % 0.43/0.83 (define @t481 () (tptp.ord_less_eq_nat @t478 @t477)) % 0.43/0.83 (define @t482 () (_ tptp.ord_less_eq_nat @t4)) % 0.43/0.83 (define @t483 () (_ @t482 @t8)) % 0.43/0.83 (define @t484 () (and @t483 @t480)) % 0.43/0.83 (define @t485 () (@list @t207)) % 0.43/0.83 (define @t486 () (lambda @t485 (and (_ @t482 @t207) (not (= @t4 @t207))))) % 0.43/0.83 (define @t487 () (tptp.min_dist_b tptp.c2 tptp.s tptp.t)) % 0.43/0.83 (define @t488 () (tptp.min_dist_a tptp.c tptp.s tptp.t)) % 0.43/0.83 (define @t489 () (tptp.isPath_a tptp.c tptp.s tptp.p tptp.t)) % 0.43/0.83 (define @t490 () (_ @t170 tptp.s)) % 0.43/0.83 (define @t491 () (_ @t490 tptp.p)) % 0.43/0.83 (define @t492 () (_ @t491 tptp.t)) % 0.43/0.83 (define @t493 () (and @t492 @t5)) % 0.43/0.83 (define @t494 () (_ @t2 @t251)) % 0.43/0.83 (define @t495 () (lambda (@list @t251) (and (_ @t491 @t251) (= @t4 @t494)))) % 0.43/0.83 (define @t496 () (lambda (@list @t61 @t251) (and (_ (_ @t490 @t61) @t251) (= @t85 @t494)))) % 0.43/0.83 (define @t497 () (lambda (@list @t252 @t61 @t251) (and (_ (_ (_ @t170 @t252) @t61) @t251) (= @t85 (_ (_ @t1 @t252) @t251))))) % 0.43/0.83 (define @t498 () (tptp.ord_less_eq_nat @t488 @t487)) % 0.43/0.83 (define @t499 () (= @t3 @t7)) % 0.43/0.83 (define @t500 () (not @t499)) % 0.43/0.83 (define @t501 () (tptp.ord_less_eq_nat @t487 @t488)) % 0.43/0.83 (define @t502 () (_ tptp.ord_less_eq_nat @t7)) % 0.43/0.83 (define @t503 () (_ @t502 @t3)) % 0.43/0.83 (define @t504 () (not (= @t7 @t3))) % 0.43/0.83 (define @t505 () (and @t503 @t504)) % 0.43/0.83 (define @t506 () (lambda @t485 (and (_ @t502 @t207) (not (= @t7 @t207))))) % 0.43/0.83 (define @t507 () (= @t487 @t488)) % 0.43/0.83 (define @t508 () (not @t498)) % 0.43/0.83 (define @t509 () (not @t501)) % 0.43/0.83 (define @t510 () (or @t509 @t508 @t507)) % 0.43/0.83 (define @t511 () (not @t510)) % 0.43/0.83 (define @t512 () (or @t509 @t508 (= @t488 @t487))) % 0.43/0.83 (define @t513 () (forall @t196 (or (not @t473) (not @t471) @t470))) % 0.43/0.83 (assume @p1 (_ tptp.edmond1517640972ysis_a tptp.c)) % 0.43/0.83 (assume @p2 @t5) % 0.43/0.83 (assume @p3 @t9) % 0.43/0.83 (assume @p4 (= tptp.edmond1022345717sure_b tptp.edmond1022345717sure_b)) % 0.43/0.83 (assume @p5 (= tptp.edmond1022345716sure_a tptp.edmond1022345716sure_a)) % 0.43/0.83 (assume @p6 (_ tptp.edmond1517640973ysis_b tptp.c2)) % 0.43/0.83 (assume @p7 (_ (_ tptp.ord_less_nat @t7) @t3)) % 0.43/0.83 (assume @p8 (= tptp.edmond771116671s_uE_b tptp.edmond771116671s_uE_b)) % 0.43/0.83 (assume @p9 (= tptp.edmond771116670s_uE_a tptp.edmond771116670s_uE_a)) % 0.43/0.83 (assume @p10 (= tptp.edmond475474835dges_a tptp.edmond475474835dges_a)) % 0.43/0.83 (assume @p11 (= tptp.edmond475474836dges_b tptp.edmond475474836dges_b)) % 0.43/0.83 (assume @p12 @t10) % 0.43/0.83 (assume @p13 @t11) % 0.43/0.83 (assume @p14 (_ (_ tptp.ord_less_nat @t4) @t8)) % 0.43/0.83 (assume @p15 (= @t13 @t12)) % 0.43/0.83 (assume @p16 (_ (_ (_ @t14 tptp.s) tptp.p) tptp.t)) % 0.43/0.83 (assume @p17 @t16) % 0.43/0.83 (assume @p18 (_ (_ tptp.member_nat tptp.s) @t17)) % 0.43/0.83 (assume @p19 (_ (_ @t19 tptp.p2) tptp.t)) % 0.43/0.83 (assume @p20 (= tptp.edmond1517640972ysis_a tptp.finite_Graph_a)) % 0.43/0.83 (assume @p21 (= tptp.edmond1517640973ysis_b tptp.finite_Graph_b)) % 0.43/0.83 (assume @p22 (forall @t23 (=> @t22 @t21))) % 0.43/0.83 (assume @p23 (forall @t27 (=> @t26 @t25))) % 0.43/0.83 (assume @p24 (forall @t23 (=> @t21 @t22))) % 0.43/0.83 (assume @p25 (forall @t27 (=> @t25 @t26))) % 0.43/0.83 (assume @p26 (=> (not @t16) (_ (_ tptp.ord_less_nat (_ (_ (_ tptp.edmond1022345717sure_b tptp.c2) tptp.s) tptp.t)) (_ (_ (_ tptp.edmond1022345716sure_a tptp.c) tptp.s) tptp.t)))) % 0.43/0.83 (assume @p27 (_ (_ (_ @t28 tptp.s) @t7) tptp.t)) % 0.43/0.83 (assume @p28 (not (forall @t30 (=> (_ (_ @t19 @t29) tptp.t) (not (= (_ tptp.size_s1990949619at_nat @t29) @t7)))))) % 0.43/0.83 (assume @p29 (_ (_ @t31 tptp.s) tptp.t)) % 0.43/0.83 (assume @p30 (forall @t44 (=> @t43 (=> (= @t42 @t39) (=> @t40 @t38))))) % 0.43/0.83 (assume @p31 (forall @t44 (=> @t49 (=> (= @t48 @t39) (=> @t40 @t47))))) % 0.43/0.83 (assume @p32 (forall (@list @t51 @t50) (=> (forall @t55 (=> (forall (@list @t53) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_s1990949619at_nat @t53)) @t54) (_ @t51 @t53))) (_ @t51 @t52))) (_ @t51 @t50)))) % 0.43/0.83 (assume @p33 (_ tptp.finite772653738at_nat @t56)) % 0.43/0.83 (assume @p34 (_ tptp.finite772653738at_nat @t57)) % 0.43/0.83 (assume @p35 (forall @t59 (= (_ @t58 @t41) tptp.zero_zero_nat))) % 0.43/0.83 (assume @p36 (forall @t59 (= (_ @t60 @t41) tptp.zero_zero_nat))) % 0.43/0.83 (assume @p37 (forall @t66 (= @t65 (exists @t64 (_ (_ @t63 @t61) @t41))))) % 0.43/0.83 (assume @p38 (forall @t66 (=> @t70 (= (_ @t69 @t17) @t68)))) % 0.43/0.83 (assume @p39 (forall @t77 (= @t76 (exists @t74 (_ (_ @t73 @t72) @t71))))) % 0.43/0.83 (assume @p40 (forall @t66 (=> @t70 (not (forall @t80 (not (_ (_ @t79 @t78) @t41))))))) % 0.43/0.83 (assume @p41 (forall @t84 (=> @t83 (_ (_ (_ @t28 @t62) @t82) @t41)))) % 0.43/0.83 (assume @p42 (forall @t88 (= @t87 (exists @t64 (and (_ (_ (_ @t18 @t41) @t61) @t71) @t86))))) % 0.43/0.83 (assume @p43 (forall @t77 (=> @t76 (_ (_ @t73 @t89) @t71)))) % 0.43/0.83 (assume @p44 (forall @t59 (_ @t75 @t41))) % 0.43/0.83 (assume @p45 (forall @t59 (_ @t90 @t41))) % 0.43/0.83 (assume @p46 (forall @t77 (= (_ @t92 @t71) @t91))) % 0.43/0.83 (assume @p47 (forall @t59 (_ @t92 @t41))) % 0.43/0.83 (assume @p48 (forall @t88 (=> @t87 @t76))) % 0.43/0.83 (assume @p49 (_ tptp.finite772653738at_nat @t13)) % 0.43/0.83 (assume @p50 (_ tptp.finite772653738at_nat @t12)) % 0.43/0.83 (assume @p51 (forall @t77 (=> @t76 (= (= @t89 tptp.zero_zero_nat) @t91)))) % 0.43/0.83 (assume @p52 (forall (@list @t93 @t94) (= (_ @t95 (_ tptp.collec1606769740at_nat @t94)) (_ @t94 @t93)))) % 0.43/0.83 (assume @p53 (forall (@list @t96 @t97) (= (_ @t98 (_ tptp.collect_set_nat @t97)) (_ @t97 @t96)))) % 0.43/0.83 (assume @p54 (forall (@list @t99 @t100) (= (_ (_ tptp.member701585322at_nat @t99) @t101) (_ @t100 @t99)))) % 0.43/0.83 (assume @p55 (forall (@list @t102 @t103) (= (_ @t105 @t104) (_ @t103 @t102)))) % 0.43/0.83 (assume @p56 (forall @t108 (= (_ tptp.collec1606769740at_nat (lambda (@list @t107) (_ (_ tptp.member298845450at_nat @t107) @t106))) @t106))) % 0.43/0.83 (assume @p57 (forall @t111 (= (_ tptp.collect_set_nat (lambda (@list @t110) (_ (_ tptp.member_set_nat @t110) @t109))) @t109))) % 0.43/0.83 (assume @p58 (forall @t115 (= (_ tptp.collec7649004at_nat (lambda @t114 (_ (_ tptp.member701585322at_nat @t113) @t112))) @t112))) % 0.43/0.83 (assume @p59 (forall @t119 (= (_ tptp.collect_nat (lambda @t118 (_ (_ tptp.member_nat @t117) @t116))) @t116))) % 0.43/0.83 (assume @p60 (forall @t125 (=> (forall @t124 (= @t123 (_ @t120 @t122))) (= @t104 @t121)))) % 0.43/0.83 (assume @p61 (forall @t130 (=> (forall @t129 (= (_ @t100 @t128) (_ @t126 @t128))) (= @t101 @t127)))) % 0.43/0.83 (assume @p62 (forall @t77 (=> @t132 (= (= @t131 tptp.zero_zero_nat) @t91)))) % 0.43/0.83 (assume @p63 (forall @t27 (=> @t25 (_ tptp.finite772653738at_nat @t133)))) % 0.43/0.83 (assume @p64 (forall @t23 (=> @t21 (_ tptp.finite772653738at_nat @t134)))) % 0.43/0.83 (assume @p65 (forall @t138 (=> @t21 (_ tptp.finite772653738at_nat @t137)))) % 0.43/0.83 (assume @p66 (forall @t140 (=> @t25 (_ tptp.finite772653738at_nat @t139)))) % 0.43/0.83 (assume @p67 (forall (@list @t50 @t141) (=> (not (= (_ tptp.size_s1990949619at_nat @t50) (_ tptp.size_s1990949619at_nat @t141))) (not (= @t50 @t141))))) % 0.43/0.83 (assume @p68 (forall @t143 (exists @t55 (= @t54 @t142)))) % 0.43/0.83 (assume @p69 (forall @t146 (= (not @t145) (_ @t144 @t102)))) % 0.43/0.83 (assume @p70 (forall @t143 (not (_ @t147 tptp.zero_zero_nat)))) % 0.43/0.83 (assume @p71 (forall @t143 (= @t150 @t148))) % 0.43/0.83 (assume @p72 (forall @t143 (= (not @t148) @t149))) % 0.43/0.83 (assume @p73 (forall @t84 (= @t154 (and @t83 @t151)))) % 0.43/0.83 (assume @p74 (forall @t161 (=> @t76 (=> (forall @t160 (=> (_ (_ @t73 @t155) @t71) (=> (forall @t159 (=> (_ (_ @t73 @t157) @t71) @t158)) @t156))) (_ @t120 @t89))))) % 0.43/0.83 (assume @p75 (forall @t168 (=> @t167 (=> @t165 @t164)))) % 0.43/0.83 (assume @p76 (forall @t169 (=> @t167 (=> (_ (_ @t31 @t136) @t135) (_ (_ tptp.ord_less_nat (_ (_ @t1 @t136) @t135)) @t162))))) % 0.43/0.83 (assume @p77 (forall @t66 (= @t70 (exists @t64 (_ (_ @t171 @t61) @t41))))) % 0.43/0.83 (assume @p78 (forall @t84 (=> @t173 @t172))) % 0.43/0.83 (assume @p79 (forall @t84 (=> @t154 @t83))) % 0.43/0.83 (assume @p80 (forall @t66 (=> @t65 (not (forall @t80 (not (_ (_ @t153 @t78) @t41))))))) % 0.43/0.83 (assume @p81 (forall @t175 (=> @t49 (=> (_ @t174 @t48) @t47)))) % 0.43/0.83 (assume @p82 (forall @t88 (=> @t87 (=> (forall @t178 (=> (_ (_ @t73 @t176) @t71) @t177)) (= @t89 @t39))))) % 0.43/0.83 (assume @p83 (forall @t88 (=> @t87 (_ (_ tptp.ord_less_eq_nat @t89) @t39)))) % 0.43/0.83 (assume @p84 (forall @t175 (=> @t43 (=> (_ @t174 @t42) @t38)))) % 0.43/0.83 (assume @p85 (forall @t84 (= @t173 (and @t172 (forall @t182 (=> (_ (_ @t171 @t179) @t41) @t181)))))) % 0.43/0.83 (assume @p86 (forall @t84 (= @t173 (and @t172 @t183)))) % 0.43/0.83 (assume @p87 (forall @t84 (= @t154 (and @t83 (forall @t182 (=> (_ (_ @t63 @t179) @t41) @t181)))))) % 0.43/0.83 (assume @p88 (forall @t143 (= (_ @t184 tptp.zero_zero_nat) @t149))) % 0.43/0.83 (assume @p89 (forall @t143 (_ @t185 @t142))) % 0.43/0.83 (assume @p90 (forall @t146 (_ @t185 @t102))) % 0.43/0.83 (assume @p91 (forall @t187 (_ @t185 @t186))) % 0.43/0.83 (assume @p92 (forall @t143 (_ @t184 @t142))) % 0.43/0.83 (assume @p93 (forall (@list @t189 @t191 @t188) (=> @t192 (=> (_ (_ tptp.ord_less_eq_nat @t191) @t188) (_ @t190 @t188))))) % 0.43/0.83 (assume @p94 (forall @t196 (=> @t195 @t194))) % 0.43/0.83 (assume @p95 @t200) % 0.43/0.83 (assume @p96 (forall @t196 (or @t194 @t197))) % 0.43/0.83 (assume @p97 (forall (@list @t103 @t188 @t202) (=> (_ @t103 @t188) (=> (forall (@list @t203) (=> (_ @t103 @t203) (_ (_ tptp.ord_less_eq_nat @t203) @t202))) (exists @t124 (and @t123 (forall (@list @t201) (=> (_ @t103 @t201) (_ (_ tptp.ord_less_eq_nat @t201) @t122))))))))) % 0.43/0.83 (assume @p98 (forall @t146 (= @t205 @t145))) % 0.43/0.83 (assume @p99 (forall @t146 (=> @t205 @t145))) % 0.43/0.83 (assume @p100 (forall @t196 (=> @t206 @t194))) % 0.43/0.83 (assume @p101 (= tptp.ord_less_eq_nat (lambda @t210 (or (_ (_ tptp.ord_less_nat @t208) @t207) @t209)))) % 0.43/0.83 (assume @p102 (forall @t196 (=> (or @t206 @t195) @t194))) % 0.43/0.83 (assume @p103 (forall @t196 (=> @t194 (=> @t211 @t206)))) % 0.43/0.83 (assume @p104 (forall (@list @t212 @t189 @t191) (=> (forall (@list @t214 @t213) (=> (_ (_ tptp.ord_less_nat @t214) @t213) (_ (_ tptp.ord_less_nat (_ @t212 @t214)) (_ @t212 @t213)))) (=> @t192 (_ (_ tptp.ord_less_eq_nat (_ @t212 @t189)) (_ @t212 @t191)))))) % 0.43/0.83 (assume @p105 (forall @t219 (=> @t218 (=> (not @t217) (exists (@list @t215) (and (_ (_ tptp.ord_less_eq_nat @t215) @t142) (forall (@list @t216) (=> (_ (_ tptp.ord_less_nat @t216) @t215) (not (_ @t103 @t216)))) (_ @t103 @t215))))))) % 0.43/0.83 (assume @p106 (forall (@list @t24 @t34 @t41 @t32) (=> @t226 (=> (_ @t174 @t225) @t224)))) % 0.43/0.83 (assume @p107 (forall (@list @t20 @t34 @t41 @t32) (=> @t233 (=> (_ @t174 @t232) @t231)))) % 0.43/0.83 (assume @p108 (forall @t239 (=> @t238 (_ (_ tptp.ord_less_eq_nat @t235) @t39)))) % 0.43/0.83 (assume @p109 (forall @t245 (=> @t244 (_ (_ tptp.ord_less_eq_nat @t241) @t39)))) % 0.43/0.83 (assume @p110 (forall @t239 (=> @t238 (=> (forall @t178 (=> (_ (_ @t237 @t176) @t71) @t177)) (= @t235 @t39))))) % 0.43/0.83 (assume @p111 (forall @t245 (=> @t244 (=> (forall @t178 (=> (_ (_ @t243 @t176) @t71) @t177)) (= @t241 @t39))))) % 0.43/0.83 (assume @p112 (forall (@list @t24 @t41 @t71 @t120) (=> @t247 (=> (forall @t160 (=> (_ (_ @t243 @t155) @t71) (=> (forall @t159 (=> (_ (_ @t243 @t157) @t71) @t158)) @t156))) (_ @t120 @t241))))) % 0.43/0.83 (assume @p113 (forall (@list @t20 @t41 @t71 @t120) (=> @t249 (=> (forall @t160 (=> (_ (_ @t237 @t155) @t71) (=> (forall @t159 (=> (_ (_ @t237 @t157) @t71) @t158)) @t156))) (_ @t120 @t235))))) % 0.43/0.83 (assume @p114 (= tptp.isShortestPath_a (lambda @t257 (and @t256 (forall @t182 (=> (_ (_ @t255 @t179) @t251) @t250)))))) % 0.43/0.83 (assume @p115 (= tptp.isShortestPath_b (lambda @t262 (and @t261 (forall @t182 (=> (_ (_ @t260 @t179) @t251) @t250)))))) % 0.43/0.83 (assume @p116 (forall @t187 (= (= tptp.zero_zero_nat @t186) (= @t186 tptp.zero_zero_nat)))) % 0.43/0.83 (assume @p117 (forall @t196 (= @t211 (or @t206 @t263)))) % 0.43/0.83 (assume @p118 (forall @t143 (not (_ @t147 @t142)))) % 0.43/0.83 (assume @p119 (forall (@list @t142 @t193) (=> @t263 @t211))) % 0.43/0.83 (assume @p120 (forall @t169 (=> (_ (_ tptp.ord_less_nat @t136) @t135) (not (= @t136 @t135))))) % 0.43/0.83 (assume @p121 (forall @t219 (=> (forall @t270 (=> (forall @t269 (=> @t268 @t267)) @t265)) @t218))) % 0.43/0.83 (assume @p122 (forall @t219 (=> (forall @t270 @t271) @t218))) % 0.43/0.83 (assume @p123 (forall (@list @t186 @t272) (=> (not (= @t186 @t272)) (=> (not (_ (_ tptp.ord_less_nat @t186) @t272)) (_ (_ tptp.ord_less_nat @t272) @t186))))) % 0.43/0.83 (assume @p124 (forall (@list @t274 @t273) (=> (not (= (_ tptp.size_s1990949619at_nat @t274) (_ tptp.size_s1990949619at_nat @t273))) (not (= @t274 @t273))))) % 0.43/0.83 (assume @p125 (= tptp.isPath_b tptp.isPath_b)) % 0.43/0.83 (assume @p126 (= tptp.isPath_a tptp.isPath_a)) % 0.43/0.83 (assume @p127 (= tptp.v_a tptp.v_a)) % 0.43/0.83 (assume @p128 (= tptp.v_b tptp.v_b)) % 0.43/0.83 (assume @p129 (= tptp.min_dist_a tptp.min_dist_a)) % 0.43/0.83 (assume @p130 (= tptp.min_dist_b tptp.min_dist_b)) % 0.43/0.83 (assume @p131 (= tptp.connected_b tptp.connected_b)) % 0.43/0.83 (assume @p132 (= tptp.connected_a tptp.connected_a)) % 0.43/0.83 (assume @p133 (forall @t275 (_ @t246 @t41))) % 0.43/0.83 (assume @p134 (forall @t276 (_ @t248 @t41))) % 0.43/0.83 (assume @p135 (= tptp.dist_b tptp.dist_b)) % 0.43/0.83 (assume @p136 (= tptp.dist_a tptp.dist_a)) % 0.43/0.83 (assume @p137 (= tptp.isShortestPath_a tptp.isShortestPath_a)) % 0.43/0.83 (assume @p138 (= tptp.isShortestPath_b tptp.isShortestPath_b)) % 0.43/0.83 (assume @p139 (forall @t140 (=> @t26 (=> @t279 (=> (_ (_ @t222 @t136) @t135) (_ (_ tptp.ord_less_nat (_ (_ @t220 @t136) @t135)) @t278)))))) % 0.43/0.83 (assume @p140 (forall @t138 (=> @t22 (=> @t282 (=> (_ (_ @t229 @t136) @t135) (_ (_ tptp.ord_less_nat (_ (_ @t227 @t136) @t135)) @t281)))))) % 0.43/0.83 (assume @p141 (forall @t286 (=> @t22 (=> @t282 (=> @t285 @t283))))) % 0.43/0.83 (assume @p142 (forall @t290 (=> @t26 (=> @t279 (=> @t289 @t287))))) % 0.43/0.83 (assume @p143 (forall @t143 (=> @t150 @t148))) % 0.43/0.83 (assume @p144 (forall @t196 (=> @t206 @t150))) % 0.43/0.83 (assume @p145 (forall @t143 (= @t148 @t150))) % 0.43/0.83 (assume @p146 (forall @t219 (=> @t217 (=> (forall @t270 (=> (_ @t144 @t264) @t271)) @t218)))) % 0.43/0.83 (assume @p147 (forall @t146 (not (_ (_ tptp.ord_less_nat @t102) tptp.zero_zero_nat)))) % 0.43/0.83 (assume @p148 (forall @t276 (= (_ @t234 @t41) tptp.zero_zero_nat))) % 0.43/0.83 (assume @p149 (forall @t275 (= (_ @t240 @t41) tptp.zero_zero_nat))) % 0.43/0.83 (assume @p150 (forall @t275 (_ @t291 @t41))) % 0.43/0.83 (assume @p151 (forall @t276 (_ @t292 @t41))) % 0.43/0.83 (assume @p152 (forall @t293 (= (_ @t291 @t71) @t91))) % 0.43/0.83 (assume @p153 (forall @t294 (= (_ @t292 @t71) @t91))) % 0.43/0.83 (assume @p154 (forall @t297 (=> @t296 (= (_ @t69 @t277) @t295)))) % 0.43/0.83 (assume @p155 (forall @t300 (=> @t299 (= (_ @t69 @t280) @t298)))) % 0.43/0.83 (assume @p156 (forall @t304 (=> (_ (_ @t303 @t81) @t41) @t302))) % 0.43/0.83 (assume @p157 (forall @t308 (=> (_ (_ @t307 @t81) @t41) @t306))) % 0.43/0.83 (assume @p158 (forall @t245 (=> @t244 @t247))) % 0.43/0.83 (assume @p159 (forall @t239 (=> @t238 @t249))) % 0.43/0.83 (assume @p160 (= tptp.connected_b (lambda (@list @t258 @t251 @t309) (exists @t74 (_ (_ (_ (_ tptp.dist_b @t258) @t251) @t72) @t309))))) % 0.43/0.83 (assume @p161 (= tptp.connected_a (lambda (@list @t253 @t251 @t309) (exists @t74 (_ (_ (_ (_ tptp.dist_a @t253) @t251) @t72) @t309))))) % 0.43/0.83 (assume @p162 (forall @t300 (=> @t299 (not (forall @t80 (not (_ (_ @t303 @t78) @t41))))))) % 0.43/0.83 (assume @p163 (forall @t297 (=> @t296 (not (forall @t80 (not (_ (_ @t307 @t78) @t41))))))) % 0.43/0.83 (assume @p164 (forall @t293 (=> @t247 (= (= @t241 tptp.zero_zero_nat) @t91)))) % 0.43/0.83 (assume @p165 (forall @t294 (=> @t249 (= (= @t235 tptp.zero_zero_nat) @t91)))) % 0.43/0.83 (assume @p166 (forall (@list @t24 @t34 @t41 @t39 @t32) (=> @t226 (=> (= @t225 @t39) (=> @t40 @t224))))) % 0.43/0.83 (assume @p167 (forall (@list @t20 @t34 @t41 @t39 @t32) (=> @t233 (=> (= @t232 @t39) (=> @t40 @t231))))) % 0.43/0.83 (assume @p168 (forall @t293 (=> @t247 (_ (_ @t243 @t241) @t71)))) % 0.43/0.83 (assume @p169 (forall @t294 (=> @t249 (_ (_ @t237 @t235) @t71)))) % 0.43/0.83 (assume @p170 (forall @t308 (=> @t306 (_ (_ (_ @t242 @t62) @t82) @t41)))) % 0.43/0.83 (assume @p171 (forall @t304 (=> @t302 (_ (_ (_ @t236 @t62) @t82) @t41)))) % 0.43/0.83 (assume @p172 (forall @t313 (=> (not @t312) (= @t311 tptp.zero_zero_nat)))) % 0.43/0.83 (assume @p173 (forall @t108 (=> (not @t315) (= @t314 tptp.zero_zero_nat)))) % 0.43/0.83 (assume @p174 (forall @t111 (=> (not @t317) (= @t316 tptp.zero_zero_nat)))) % 0.43/0.83 (assume @p175 (forall @t115 (=> @t320 (= @t318 tptp.zero_zero_nat)))) % 0.43/0.83 (assume @p176 (forall @t119 (=> @t323 (= @t321 tptp.zero_zero_nat)))) % 0.43/0.83 (assume @p177 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite447719721at_nat @t56)) (_ tptp.finite447719721at_nat @t12))) % 0.43/0.83 (assume @p178 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite447719721at_nat @t57)) (_ tptp.finite447719721at_nat @t13))) % 0.43/0.83 (assume @p179 (forall @t84 (=> @t68 (=> @t325 @t164)))) % 0.43/0.83 (assume @p180 (forall @t313 (=> (_ @t144 @t311) @t312))) % 0.43/0.83 (assume @p181 (forall @t108 (=> (_ @t144 @t314) @t315))) % 0.43/0.83 (assume @p182 (forall @t111 (=> (_ @t144 @t316) @t317))) % 0.43/0.83 (assume @p183 (forall @t115 (=> (_ @t144 @t318) @t319))) % 0.43/0.83 (assume @p184 (forall @t119 (=> (_ @t144 @t321) @t322))) % 0.43/0.83 (assume @p185 (forall @t161 (=> @t132 (=> (forall @t160 (=> (_ (_ @t327 @t155) @t71) (=> (forall @t159 (=> (_ (_ @t327 @t157) @t71) @t158)) @t156))) (_ @t120 @t131))))) % 0.43/0.83 (assume @p186 (forall @t84 (= @t154 (and @t329 @t151)))) % 0.43/0.83 (assume @p187 (forall @t66 (=> @t65 (= (_ @t69 @t330) @t331)))) % 0.43/0.83 (assume @p188 (forall @t168 (=> (_ (_ (_ @t18 @t136) @t81) @t135) (exists @t30 (_ (_ @t332 @t29) @t135))))) % 0.43/0.83 (assume @p189 (forall @t168 (=> (_ (_ (_ @t170 @t136) @t81) @t135) (exists @t30 (_ (_ @t333 @t29) @t135))))) % 0.43/0.83 (assume @p190 (forall @t77 (= @t132 (exists @t74 (_ (_ @t327 @t72) @t71))))) % 0.43/0.83 (assume @p191 (forall @t168 (=> @t165 (_ (_ @t333 @t81) @t135)))) % 0.43/0.83 (assume @p192 (forall @t168 (=> @t334 (_ (_ @t332 @t81) @t135)))) % 0.43/0.83 (assume @p193 (forall @t88 (=> @t335 (_ (_ tptp.ord_less_eq_nat @t131) @t39)))) % 0.43/0.83 (assume @p194 (forall @t88 (=> @t335 (=> (forall @t178 (=> (_ (_ @t327 @t176) @t71) @t177)) (= @t131 @t39))))) % 0.43/0.83 (assume @p195 (forall @t84 (=> @t172 (_ (_ (_ @t326 @t62) @t82) @t41)))) % 0.43/0.83 (assume @p196 (forall @t88 (= @t335 (exists @t64 (and (_ (_ (_ @t170 @t41) @t61) @t71) @t86))))) % 0.43/0.83 (assume @p197 (forall @t77 (=> @t132 (_ (_ @t327 @t131) @t71)))) % 0.43/0.83 (assume @p198 (forall @t84 (=> @t331 (=> @t329 @t337)))) % 0.43/0.83 (assume @p199 (forall @t169 (=> @t338 (=> (_ (_ @t15 @t136) @t135) (_ (_ tptp.ord_less_nat (_ (_ @t6 @t136) @t135)) @t336))))) % 0.43/0.83 (assume @p200 (forall @t168 (=> @t338 (=> @t334 @t337)))) % 0.43/0.83 (assume @p201 (forall @t84 (= @t173 (and @t325 @t183)))) % 0.43/0.83 (assume @p202 @t339) % 0.43/0.83 (assume @p203 @t340) % 0.43/0.83 (assume @p204 (forall @t77 (= (_ @t341 @t71) @t91))) % 0.43/0.83 (assume @p205 (forall @t59 (_ @t341 @t41))) % 0.43/0.83 (assume @p206 (forall @t88 (=> @t335 @t132))) % 0.43/0.83 (assume @p207 (= @t330 @t17)) % 0.43/0.83 (assume @p208 (forall @t343 (_ (_ tptp.ord_less_eq_set_nat @t342) @t330))) % 0.43/0.83 (assume @p209 (forall @t343 (_ (_ tptp.ord_less_eq_set_nat @t344) @t17))) % 0.43/0.83 (assume @p210 (= tptp.isSimplePath_a tptp.isSimplePath_a)) % 0.43/0.83 (assume @p211 (= tptp.isSimplePath_b tptp.isSimplePath_b)) % 0.43/0.83 (assume @p212 (forall (@list @t106 @t345) (=> (_ (_ tptp.ord_le2096002913at_nat @t106) @t345) (=> (_ tptp.finite1457549322at_nat @t345) @t315)))) % 0.43/0.83 (assume @p213 (forall (@list @t109 @t346) (=> (_ (_ tptp.ord_le1613022364et_nat @t109) @t346) (=> (_ tptp.finite2012248349et_nat @t346) @t317)))) % 0.43/0.83 (assume @p214 (forall @t351 (=> @t350 (=> @t348 @t322)))) % 0.43/0.83 (assume @p215 (forall @t356 (=> @t355 (=> @t353 @t319)))) % 0.43/0.83 (assume @p216 (forall (@list @t358 @t357) (=> (_ (_ tptp.ord_less_eq_set_nat @t358) @t357) (=> (not (_ tptp.finite_finite_nat @t358)) (not (_ tptp.finite_finite_nat @t357)))))) % 0.43/0.83 (assume @p217 (forall (@list @t360 @t359) (=> (_ (_ tptp.ord_le841296385at_nat @t360) @t359) (=> (not (_ tptp.finite772653738at_nat @t360)) (not (_ tptp.finite772653738at_nat @t359)))))) % 0.43/0.83 (assume @p218 (forall @t361 (=> @t348 (=> @t350 @t322)))) % 0.43/0.83 (assume @p219 (forall @t362 (=> @t353 (=> @t355 @t319)))) % 0.43/0.83 (assume @p220 (forall @t361 (=> @t348 (=> @t350 (=> (= @t321 @t364) @t363))))) % 0.43/0.83 (assume @p221 (forall @t362 (=> @t353 (=> @t355 (=> (= @t318 @t366) @t365))))) % 0.43/0.83 (assume @p222 (forall (@list @t116 @t142) (=> @t323 (exists (@list @t367) (and (_ tptp.finite_finite_nat @t367) (= (_ tptp.finite_card_nat @t367) @t142) (_ (_ tptp.ord_less_eq_set_nat @t367) @t116)))))) % 0.43/0.83 (assume @p223 (forall (@list @t112 @t142) (=> @t320 (exists (@list @t368) (and (_ tptp.finite772653738at_nat @t368) (= (_ tptp.finite447719721at_nat @t368) @t142) (_ (_ tptp.ord_le841296385at_nat @t368) @t112)))))) % 0.43/0.83 (assume @p224 (forall @t286 (=> (_ (_ (_ @t301 @t136) @t81) @t135) (exists @t30 (_ (_ @t370 @t29) @t135))))) % 0.43/0.83 (assume @p225 (forall @t290 (=> (_ (_ (_ @t305 @t136) @t81) @t135) (exists @t30 (_ (_ @t372 @t29) @t135))))) % 0.43/0.83 (assume @p226 (forall @t286 (=> @t285 (_ (_ @t370 @t81) @t135)))) % 0.43/0.83 (assume @p227 (forall @t290 (=> @t289 (_ (_ @t372 @t81) @t135)))) % 0.43/0.83 (assume @p228 (forall (@list @t374) (=> (_ tptp.finite1299096496at_nat @t374) (exists @t270 (forall (@list @t373) (=> (_ (_ tptp.member1608759472at_nat @t373) @t374) (_ (_ tptp.ord_less_nat (_ tptp.size_s1990949619at_nat @t373)) @t264))))))) % 0.43/0.83 (assume @p229 (forall @t361 (=> @t348 (=> @t350 (=> @t376 @t375))))) % 0.43/0.83 (assume @p230 (forall @t362 (=> @t353 (=> @t355 (=> @t378 @t377))))) % 0.43/0.83 (assume @p231 (forall @t361 (=> @t348 (=> @t350 (_ (_ tptp.ord_less_eq_nat @t321) @t364))))) % 0.43/0.83 (assume @p232 (forall @t362 (=> @t353 (=> @t355 (_ (_ tptp.ord_less_eq_nat @t318) @t366))))) % 0.43/0.83 (assume @p233 (forall @t361 (=> @t348 (=> @t350 (=> (_ (_ tptp.ord_less_eq_nat @t364) @t321) @t363))))) % 0.43/0.83 (assume @p234 (forall @t362 (=> @t353 (=> @t355 (=> (_ (_ tptp.ord_less_eq_nat @t366) @t318) @t365))))) % 0.43/0.83 (assume @p235 (forall (@list @t380 @t379) (=> (forall (@list @t381) (=> (_ (_ tptp.ord_less_eq_set_nat @t381) @t380) (=> (_ tptp.finite_finite_nat @t381) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat @t381)) @t379)))) (and (_ tptp.finite_finite_nat @t380) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat @t380)) @t379))))) % 0.43/0.83 (assume @p236 (forall (@list @t382 @t379) (=> (forall (@list @t383) (=> (_ (_ tptp.ord_le841296385at_nat @t383) @t382) (=> (_ tptp.finite772653738at_nat @t383) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite447719721at_nat @t383)) @t379)))) (and (_ tptp.finite772653738at_nat @t382) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite447719721at_nat @t382)) @t379))))) % 0.43/0.83 (assume @p237 (forall @t27 (=> @t384 @t26))) % 0.43/0.83 (assume @p238 (forall @t23 (=> @t385 @t22))) % 0.43/0.83 (assume @p239 (forall @t27 (=> @t26 @t384))) % 0.43/0.83 (assume @p240 (forall @t23 (=> @t22 @t385))) % 0.43/0.83 (assume @p241 (forall (@list @t112 @t94) (=> @t319 (=> (forall (@list @t386) (=> (_ tptp.finite772653738at_nat @t386) (=> (forall (@list @t387) (=> (_ (_ tptp.ord_le116442893at_nat @t387) @t386) (_ @t94 @t387))) (_ @t94 @t386)))) (_ @t94 @t112))))) % 0.43/0.83 (assume @p242 (forall (@list @t116 @t97) (=> @t322 (=> (forall (@list @t388) (=> (_ tptp.finite_finite_nat @t388) (=> (forall (@list @t389) (=> (_ (_ tptp.ord_less_set_nat @t389) @t388) (_ @t97 @t389))) (_ @t97 @t388)))) (_ @t97 @t116))))) % 0.43/0.83 (assume @p243 (= tptp.isShortestPath_a (lambda @t257 (and (_ (_ (_ (_ tptp.isSimplePath_a @t253) @t252) @t61) @t251) @t390)))) % 0.43/0.83 (assume @p244 (= tptp.isShortestPath_b (lambda @t262 (and (_ (_ (_ (_ tptp.isSimplePath_b @t258) @t252) @t61) @t251) @t391)))) % 0.43/0.83 (assume @p245 (forall @t138 (=> @t21 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite447719721at_nat @t137)) (_ tptp.finite447719721at_nat @t134))))) % 0.43/0.83 (assume @p246 (forall @t140 (=> @t25 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite447719721at_nat @t139)) (_ tptp.finite447719721at_nat @t133))))) % 0.43/0.83 (assume @p247 (forall @t400 (=> @t322 (=> @t399 (exists @t124 (and @t398 (_ @t396 @t102) (forall @t395 (=> @t394 (=> (_ (_ tptp.ord_less_eq_nat @t392) @t122) @t393))))))))) % 0.43/0.83 (assume @p248 (forall @t410 (=> @t317 (=> @t409 (exists @t408 (and @t407 (_ @t406 @t96) (forall @t405 (=> @t404 (=> (_ (_ tptp.ord_less_eq_set_nat @t401) @t402) @t403))))))))) % 0.43/0.83 (assume @p249 (forall @t420 (=> @t315 (=> @t419 (exists @t418 (and @t417 (_ @t416 @t93) (forall @t415 (=> @t414 (=> (_ (_ tptp.ord_le841296385at_nat @t411) @t412) @t413))))))))) % 0.43/0.83 (assume @p250 (forall @t400 (=> @t322 (=> @t399 (exists @t124 (and @t398 (_ @t204 @t122) (forall @t395 (=> @t394 (=> (_ @t396 @t392) @t393))))))))) % 0.43/0.83 (assume @p251 (forall @t410 (=> @t317 (=> @t409 (exists @t408 (and @t407 (_ (_ tptp.ord_less_eq_set_nat @t96) @t402) (forall @t405 (=> @t404 (=> (_ @t406 @t401) @t403))))))))) % 0.43/0.83 (assume @p252 (forall @t420 (=> @t315 (=> @t419 (exists @t418 (and @t417 (_ (_ tptp.ord_le841296385at_nat @t93) @t412) (forall @t415 (=> @t414 (=> (_ @t416 @t411) @t413))))))))) % 0.43/0.83 (assume @p253 (forall @t304 (=> @t22 (=> @t298 (=> (_ (_ (_ @t369 @t62) @t81) @t41) @t283))))) % 0.43/0.83 (assume @p254 (forall @t308 (=> @t26 (=> @t295 (=> (_ (_ (_ @t371 @t62) @t81) @t41) @t287))))) % 0.43/0.83 (assume @p255 (forall @t362 (=> @t353 (=> @t377 @t378)))) % 0.43/0.83 (assume @p256 (forall @t361 (=> @t348 (=> @t375 @t376)))) % 0.43/0.83 (assume @p257 (forall @t421 (=> @t167 (_ (_ tptp.ord_less_eq_set_nat (_ (_ tptp.reachableNodes_a tptp.c) @t136)) @t17)))) % 0.43/0.83 (assume @p258 (forall @t421 (=> @t338 (_ (_ tptp.ord_less_eq_set_nat (_ (_ tptp.reachableNodes_b tptp.c2) @t136)) @t330)))) % 0.43/0.83 (assume @p259 (_ (_ tptp.ord_le841296385at_nat @t56) @t422)) % 0.43/0.83 (assume @p260 (_ (_ tptp.ord_le841296385at_nat @t422) @t12)) % 0.43/0.83 (assume @p261 (=> @t423 @t11)) % 0.43/0.83 (assume @p262 (=> @t423 @t340)) % 0.43/0.83 (assume @p263 @t423) % 0.43/0.83 (assume @p264 (forall @t343 (_ tptp.finite_finite_nat @t342))) % 0.43/0.83 (assume @p265 (forall @t343 (_ tptp.finite_finite_nat @t344))) % 0.43/0.83 (assume @p266 (=> @t340 @t423)) % 0.43/0.83 (assume @p267 (= tptp.reachableNodes_a tptp.reachableNodes_a)) % 0.43/0.83 (assume @p268 (= tptp.reachableNodes_b tptp.reachableNodes_b)) % 0.43/0.83 (assume @p269 (= tptp.adjacent_nodes_b tptp.adjacent_nodes_b)) % 0.43/0.83 (assume @p270 (= tptp.adjacent_nodes_a tptp.adjacent_nodes_a)) % 0.43/0.83 (assume @p271 (= tptp.e_a tptp.e_a)) % 0.43/0.83 (assume @p272 (= tptp.e_b tptp.e_b)) % 0.43/0.83 (assume @p273 (forall (@list @t136 @t20) (=> @t282 (_ (_ tptp.ord_less_eq_set_nat (_ (_ tptp.reachableNodes_a @t20) @t136)) @t280)))) % 0.43/0.83 (assume @p274 (forall (@list @t136 @t24) (=> @t279 (_ (_ tptp.ord_less_eq_set_nat (_ (_ tptp.reachableNodes_b @t24) @t136)) @t277)))) % 0.43/0.83 (assume @p275 (forall @t23 (=> @t425 @t385))) % 0.43/0.83 (assume @p276 (forall @t27 (=> @t427 @t384))) % 0.43/0.83 (assume @p277 (forall @t23 (=> @t385 @t425))) % 0.43/0.83 (assume @p278 (forall @t27 (=> @t384 @t427))) % 0.43/0.83 (assume @p279 (forall @t27 (=> @t427 @t26))) % 0.43/0.83 (assume @p280 (forall @t23 (=> @t425 @t22))) % 0.43/0.83 (assume @p281 (forall @t27 (=> @t26 @t427))) % 0.43/0.83 (assume @p282 (forall @t23 (=> @t22 @t425))) % 0.43/0.83 (assume @p283 (forall @t27 (=> @t25 (_ (_ tptp.ord_le841296385at_nat @t426) @t133)))) % 0.43/0.83 (assume @p284 (forall @t23 (=> @t21 (_ (_ tptp.ord_le841296385at_nat @t424) @t134)))) % 0.43/0.83 (assume @p285 (forall @t138 (=> @t21 (_ (_ tptp.ord_le841296385at_nat @t137) @t424)))) % 0.43/0.83 (assume @p286 (forall @t140 (=> @t25 (_ (_ tptp.ord_le841296385at_nat @t139) @t426)))) % 0.43/0.83 (assume @p287 (forall @t429 (_ (_ tptp.ord_less_eq_set_nat @t428) @t277))) % 0.43/0.83 (assume @p288 (forall @t431 (_ (_ tptp.ord_less_eq_set_nat @t430) @t280))) % 0.43/0.83 (assume @p289 (forall @t429 (=> @t26 (_ tptp.finite_finite_nat @t428)))) % 0.43/0.83 (assume @p290 (forall @t431 (=> @t22 (_ tptp.finite_finite_nat @t430)))) % 0.43/0.83 (assume @p291 (forall @t434 (_ (_ tptp.ord_le841296385at_nat @t433) @t422))) % 0.43/0.83 (assume @p292 (forall @t434 (_ (_ tptp.ord_le841296385at_nat @t435) @t422))) % 0.43/0.83 (assume @p293 (_ (_ tptp.ord_le841296385at_nat @t436) @t13)) % 0.43/0.83 (assume @p294 (=> @t437 @t10)) % 0.43/0.83 (assume @p295 (=> @t437 @t339)) % 0.43/0.83 (assume @p296 (_ (_ tptp.ord_le841296385at_nat @t57) @t436)) % 0.43/0.83 (assume @p297 @t437) % 0.43/0.83 (assume @p298 (=> @t339 @t437)) % 0.43/0.83 (assume @p299 (forall @t434 (=> @t340 (_ tptp.finite772653738at_nat @t435)))) % 0.43/0.83 (assume @p300 (forall @t434 (=> @t340 (_ tptp.finite772653738at_nat @t433)))) % 0.43/0.83 (assume @p301 (= tptp.incoming_a tptp.incoming_a)) % 0.43/0.83 (assume @p302 (= tptp.incoming_b tptp.incoming_b)) % 0.43/0.83 (assume @p303 (= tptp.outgoing_a tptp.outgoing_a)) % 0.43/0.83 (assume @p304 (= tptp.outgoing_b tptp.outgoing_b)) % 0.43/0.83 (assume @p305 (forall @t439 (_ (_ tptp.ord_le841296385at_nat @t438) @t424))) % 0.43/0.83 (assume @p306 (forall @t441 (_ (_ tptp.ord_le841296385at_nat @t440) @t426))) % 0.43/0.83 (assume @p307 (forall @t439 (_ (_ tptp.ord_le841296385at_nat @t442) @t424))) % 0.43/0.83 (assume @p308 (forall @t441 (_ (_ tptp.ord_le841296385at_nat @t443) @t426))) % 0.43/0.83 (assume @p309 (forall @t439 (=> @t385 (_ tptp.finite772653738at_nat @t438)))) % 0.43/0.83 (assume @p310 (forall @t441 (=> @t384 (_ tptp.finite772653738at_nat @t440)))) % 0.43/0.83 (assume @p311 (forall @t439 (=> @t385 (_ tptp.finite772653738at_nat @t442)))) % 0.43/0.83 (assume @p312 (forall @t441 (=> @t384 (_ tptp.finite772653738at_nat @t443)))) % 0.43/0.83 (assume @p313 (forall @t434 (_ (_ tptp.ord_le841296385at_nat @t444) @t436))) % 0.43/0.83 (assume @p314 (forall @t434 (_ (_ tptp.ord_le841296385at_nat @t445) @t436))) % 0.43/0.83 (assume @p315 (forall @t434 (=> @t339 (_ tptp.finite772653738at_nat @t445)))) % 0.43/0.83 (assume @p316 (forall @t434 (=> @t339 (_ tptp.finite772653738at_nat @t444)))) % 0.43/0.83 (assume @p317 (_ @t446 @t422)) % 0.43/0.83 (assume @p318 (forall @t351 (=> @t350 (=> (not @t363) @t375)))) % 0.43/0.83 (assume @p319 (forall @t356 (=> @t355 (=> (not @t365) @t377)))) % 0.43/0.83 (assume @p320 (forall @t351 (=> @t350 (=> (_ @t447 @t116) @t363)))) % 0.43/0.83 (assume @p321 (forall @t356 (=> @t355 (=> (_ @t448 @t112) @t365)))) % 0.43/0.83 (assume @p322 (forall @t351 (=> (forall @t124 (=> @t398 (_ @t397 @t347))) @t350))) % 0.43/0.83 (assume @p323 (forall @t356 (=> (forall @t129 (=> (_ @t449 @t112) (_ @t449 @t352))) @t355))) % 0.43/0.83 (assume @p324 (_ @t446 (_ tptp.set_Pr2131844118at_nat tptp.p))) % 0.43/0.83 (assume @p325 (forall @t125 (= (_ (_ tptp.ord_less_eq_set_nat @t104) @t121) (forall @t118 (=> (_ @t103 @t117) (_ @t120 @t117)))))) % 0.43/0.83 (assume @p326 (forall @t130 (= (_ (_ tptp.ord_le841296385at_nat @t101) @t127) (forall @t114 (=> (_ @t100 @t113) (_ @t126 @t113)))))) % 0.43/0.83 (assume @p327 (= (lambda (@list @t453 @t452) (= @t453 @t452)) (lambda (@list @t450 @t451) (and (_ (_ tptp.ord_less_eq_set_nat @t450) @t451) (_ (_ tptp.ord_less_eq_set_nat @t451) @t450))))) % 0.43/0.83 (assume @p328 (= (lambda (@list @t457 @t456) (= @t457 @t456)) (lambda (@list @t454 @t455) (and (_ (_ tptp.ord_le841296385at_nat @t454) @t455) (_ (_ tptp.ord_le841296385at_nat @t455) @t454))))) % 0.43/0.83 (assume @p329 (forall (@list @t116 @t347 @t458) (=> @t350 (=> (_ @t447 @t458) (_ @t349 @t458))))) % 0.43/0.83 (assume @p330 (forall (@list @t112 @t352 @t459) (=> @t355 (=> (_ @t448 @t459) (_ @t354 @t459))))) % 0.43/0.83 (assume @p331 (not false)) % 0.43/0.83 (assume @p332 true) % 0.43/0.83 (step @p333 (= tptp.isShortestPath_a @t460) :rule refl :args (@t460)) % 0.43/0.83 (step @p334 (= tptp.isShortestPath_b @t461) :rule refl :args (@t461)) % 0.43/0.83 (step @p335 (= tptp.ord_less_nat @t462) :rule refl :args (@t462)) % 0.43/0.83 (step @p336 (= tptp.connected_b @t463) :rule refl :args (@t463)) % 0.43/0.83 (step @p337 (= tptp.connected_a @t464) :rule refl :args (@t464)) % 0.43/0.83 (step @p338 (= tptp.dist_b @t466) :rule refl :args (@t466)) % 0.43/0.83 (step @p339 (= tptp.dist_a @t467) :rule refl :args (@t467)) % 0.43/0.83 (step @p340 (= tptp.finite_Graph_b @t468) :rule refl :args (@t468)) % 0.43/0.83 (step @p341 (= tptp.finite_Graph_a @t469) :rule refl :args (@t469)) % 0.43/0.83 (step @p342 :rule refl :args (@t470)) % 0.43/0.83 (step @p343 :rule refl :args (@t471)) % 0.43/0.83 (step @p344 :rule refl :args (@t197)) % 0.43/0.83 (step @p345 :rule cong :premises (@p344 @p343) :args ((= @t197 @t471))) % 0.43/0.83 (step @p346 :rule symm :premises (@p345)) % 0.43/0.83 (step @p347 :rule eq_resolve :premises (@p344 @p346)) % 0.43/0.83 (step @p348 :rule cong :premises (@p347) :args (@t472)) % 0.43/0.83 (step @p349 :rule refl :args (@t473)) % 0.43/0.83 (step @p350 :rule refl :args (@t194)) % 0.43/0.83 (step @p351 :rule cong :premises (@p350 @p349) :args ((= @t194 @t473))) % 0.43/0.83 (step @p352 :rule symm :premises (@p351)) % 0.43/0.83 (step @p353 :rule eq_resolve :premises (@p350 @p352)) % 0.43/0.83 (step @p354 :rule cong :premises (@p353) :args (@t474)) % 0.43/0.83 (step @p355 :rule nary_cong :premises (@p354 @p348 @p342) :args (@t475)) % 0.43/0.83 (step @p356 :rule cong :premises (@p355) :args ((forall @t196 @t475))) % 0.43/0.83 (step @p357 :rule aci_norm :args ((= (or @t474 (or @t472 @t470)) @t475))) % 0.43/0.83 (step @p358 :rule bool-impl-elim :args (@t197 @t470)) % 0.43/0.83 (step @p359 :rule refl :args (@t474)) % 0.43/0.83 (step @p360 :rule nary_cong :premises (@p359 @p358) :args ((or @t474 @t476))) % 0.43/0.83 (step @p361 :rule trans :premises (@p360 @p357)) % 0.43/0.83 (step @p362 :rule bool-impl-elim :args (@t194 @t476)) % 0.43/0.83 (step @p363 :rule trans :premises (@p362 @p361)) % 0.43/0.83 (step @p364 :rule cong :premises (@p363) :args ((forall @t196 (=> @t194 @t476)))) % 0.43/0.83 (step @p365 :rule trans :premises (@p364 @p356)) % 0.43/0.83 (step @p366 :rule eq-symm :args (@t193 @t142)) % 0.43/0.83 (step @p367 :rule refl :args (@t197)) % 0.43/0.83 (step @p368 :rule cong :premises (@p367 @p366) :args (@t198)) % 0.43/0.83 (step @p369 :rule refl :args (@t194)) % 0.43/0.83 (step @p370 :rule cong :premises (@p369 @p368) :args (@t199)) % 0.43/0.83 (step @p371 :rule cong :premises (@p370) :args (@t200)) % 0.43/0.83 (step @p372 :rule trans :premises (@p371 @p365)) % 0.43/0.83 (step @p373 :rule eq_resolve :premises (@p95 @p372)) % 0.43/0.83 (step @p374 :rule refl :args (@t477)) % 0.43/0.83 (step @p375 :rule refl :args (@t8)) % 0.43/0.83 (step @p376 :rule cong :premises (@p375 @p374) :args ((= @t8 @t477))) % 0.43/0.83 (step @p377 :rule symm :premises (@p376)) % 0.43/0.83 (step @p378 :rule eq_resolve :premises (@p375 @p377)) % 0.43/0.83 (step @p379 :rule refl :args (@t478)) % 0.43/0.83 (step @p380 :rule refl :args (@t4)) % 0.43/0.83 (step @p381 :rule cong :premises (@p380 @p379) :args ((= @t4 @t478))) % 0.43/0.83 (step @p382 :rule symm :premises (@p381)) % 0.43/0.83 (step @p383 :rule eq_resolve :premises (@p380 @p382)) % 0.43/0.83 (step @p384 :rule cong :premises (@p383 @p378) :args (@t479)) % 0.43/0.83 (step @p385 :rule cong :premises (@p384) :args (@t480)) % 0.43/0.83 (step @p386 :rule refl :args ((tptp.ord_less_eq_nat @t4 @t8))) % 0.43/0.83 (step @p387 :rule cong :premises (@p379 @p374) :args (@t481)) % 0.43/0.83 (step @p388 :rule trans :premises (@p387 @p386)) % 0.43/0.83 (step @p389 :rule refl :args (tptp.ord_less_eq_nat)) % 0.43/0.83 (step @p390 :rule ho_cong :premises (@p389 @p379)) % 0.43/0.83 (step @p391 :rule ho_cong :premises (@p390 @p374)) % 0.43/0.83 (step @p392 :rule cong :premises (@p391 @p388) :args ((= (_ (_ tptp.ord_less_eq_nat @t478) @t477) @t481))) % 0.43/0.83 (step @p393 :rule symm :premises (@p392)) % 0.43/0.83 (step @p394 :rule refl :args (@t483)) % 0.43/0.83 (step @p395 :rule eq_resolve :premises (@p394 @p393)) % 0.43/0.83 (step @p396 :rule refl :args (tptp.ord_less_eq_nat)) % 0.43/0.83 (step @p397 :rule ho_cong :premises (@p396 @p383)) % 0.43/0.83 (step @p398 :rule ho_cong :premises (@p397 @p378)) % 0.43/0.83 (step @p399 :rule trans :premises (@p398 @p395)) % 0.43/0.83 (step @p400 :rule nary_cong :premises (@p399 @p385) :args (@t484)) % 0.43/0.83 (step @p401 :rule beta-reduce :args ((= (_ @t486 @t8) @t484))) % 0.43/0.83 (step @p402 :rule refl :args (@t8)) % 0.43/0.83 (step @p403 :rule beta-reduce :args ((= (_ @t462 @t4) @t486))) % 0.43/0.83 (step @p404 :rule ho_cong :premises (@p403 @p402)) % 0.43/0.83 (step @p405 :rule trans :premises (@p404 @p401)) % 0.43/0.83 (step @p406 :rule refl :args (@t4)) % 0.43/0.83 (step @p407 :rule ho_cong :premises (@p335 @p406)) % 0.43/0.83 (step @p408 :rule ho_cong :premises (@p407 @p402)) % 0.43/0.83 (step @p409 :rule trans :premises (@p408 @p405)) % 0.43/0.83 (step @p410 :rule trans :premises (@p409 @p400)) % 0.43/0.83 (step @p411 :rule eq_resolve :premises (@p14 @p410)) % 0.43/0.83 (step @p412 :rule and_elim :premises (@p411) :args (0)) % 0.43/0.83 (step @p413 :rule true_intro :premises (@p412)) % 0.43/0.83 (step @p414 :rule eq-symm :args (@t477 @t487)) % 0.43/0.83 (step @p415 :rule refl :args (@t487)) % 0.43/0.83 (step @p416 :rule refl :args (@t7)) % 0.43/0.83 (step @p417 :rule cong :premises (@p416 @p415) :args ((= @t7 @t487))) % 0.43/0.83 (step @p418 :rule symm :premises (@p417)) % 0.43/0.83 (step @p419 :rule eq_resolve :premises (@p416 @p418)) % 0.43/0.83 (step @p420 :rule cong :premises (@p378 @p419) :args (@t9)) % 0.43/0.83 (step @p421 :rule trans :premises (@p420 @p414)) % 0.43/0.83 (step @p422 :rule eq_resolve :premises (@p3 @p421)) % 0.43/0.83 (step @p423 :rule eq-symm :args (@t478 @t488)) % 0.43/0.83 (step @p424 :rule refl :args (@t488)) % 0.43/0.83 (step @p425 :rule refl :args (@t3)) % 0.43/0.83 (step @p426 :rule cong :premises (@p425 @p424) :args ((= @t3 @t488))) % 0.43/0.83 (step @p427 :rule symm :premises (@p426)) % 0.43/0.83 (step @p428 :rule eq_resolve :premises (@p425 @p427)) % 0.43/0.83 (step @p429 :rule cong :premises (@p383 @p428) :args (@t5)) % 0.43/0.83 (step @p430 :rule trans :premises (@p429 @p423)) % 0.43/0.83 (step @p431 :rule refl :args (@t489)) % 0.43/0.83 (step @p432 :rule refl :args (@t492)) % 0.43/0.83 (step @p433 :rule cong :premises (@p432 @p431) :args ((= @t492 @t489))) % 0.43/0.83 (step @p434 :rule symm :premises (@p433)) % 0.43/0.83 (step @p435 :rule eq_resolve :premises (@p432 @p434)) % 0.43/0.83 (step @p436 :rule nary_cong :premises (@p435 @p430) :args (@t493)) % 0.43/0.83 (step @p437 :rule beta-reduce :args ((= (_ @t495 tptp.t) @t493))) % 0.43/0.83 (step @p438 :rule refl :args (tptp.t)) % 0.43/0.83 (step @p439 :rule beta-reduce :args ((= (_ @t496 tptp.p) @t495))) % 0.43/0.83 (step @p440 :rule refl :args (tptp.p)) % 0.43/0.83 (step @p441 :rule beta-reduce :args ((= (_ @t497 tptp.s) @t496))) % 0.43/0.83 (step @p442 :rule refl :args (tptp.s)) % 0.43/0.83 (step @p443 :rule beta-reduce :args ((= (_ @t460 tptp.c) @t497))) % 0.43/0.83 (step @p444 :rule ho_cong :premises (@p443 @p442)) % 0.43/0.83 (step @p445 :rule trans :premises (@p444 @p441)) % 0.43/0.83 (step @p446 :rule ho_cong :premises (@p445 @p440)) % 0.43/0.83 (step @p447 :rule trans :premises (@p446 @p439)) % 0.43/0.83 (step @p448 :rule ho_cong :premises (@p447 @p438)) % 0.43/0.83 (step @p449 :rule trans :premises (@p448 @p437)) % 0.43/0.83 (step @p450 :rule refl :args (tptp.c)) % 0.43/0.83 (step @p451 :rule ho_cong :premises (@p333 @p450)) % 0.43/0.83 (step @p452 :rule ho_cong :premises (@p451 @p442)) % 0.43/0.83 (step @p453 :rule ho_cong :premises (@p452 @p440)) % 0.43/0.83 (step @p454 :rule ho_cong :premises (@p453 @p438)) % 0.43/0.83 (step @p455 :rule trans :premises (@p454 @p449)) % 0.43/0.83 (step @p456 :rule trans :premises (@p455 @p436)) % 0.43/0.83 (step @p457 :rule eq_resolve :premises (@p16 @p456)) % 0.43/0.83 (step @p458 :rule and_elim :premises (@p457) :args (1)) % 0.43/0.83 (step @p459 :rule cong :premises (@p458 @p422) :args (@t498)) % 0.43/0.83 (step @p460 :rule trans :premises (@p459 @p413)) % 0.43/0.83 (step @p461 :rule true_elim :premises (@p460)) % 0.43/0.83 (step @p462 :rule eq-symm :args (@t488 @t487)) % 0.43/0.83 (step @p463 :rule cong :premises (@p428 @p419) :args (@t499)) % 0.43/0.83 (step @p464 :rule trans :premises (@p463 @p462)) % 0.43/0.83 (step @p465 :rule cong :premises (@p464) :args (@t500)) % 0.43/0.83 (step @p466 :rule refl :args ((tptp.ord_less_eq_nat @t7 @t3))) % 0.43/0.83 (step @p467 :rule cong :premises (@p415 @p424) :args (@t501)) % 0.43/0.83 (step @p468 :rule trans :premises (@p467 @p466)) % 0.43/0.83 (step @p469 :rule ho_cong :premises (@p389 @p415)) % 0.43/0.83 (step @p470 :rule ho_cong :premises (@p469 @p424)) % 0.43/0.83 (step @p471 :rule cong :premises (@p470 @p468) :args ((= (_ (_ tptp.ord_less_eq_nat @t487) @t488) @t501))) % 0.43/0.83 (step @p472 :rule symm :premises (@p471)) % 0.43/0.83 (step @p473 :rule refl :args (@t503)) % 0.43/0.83 (step @p474 :rule eq_resolve :premises (@p473 @p472)) % 0.43/0.83 (step @p475 :rule ho_cong :premises (@p396 @p419)) % 0.43/0.83 (step @p476 :rule ho_cong :premises (@p475 @p428)) % 0.43/0.83 (step @p477 :rule trans :premises (@p476 @p474)) % 0.43/0.83 (step @p478 :rule nary_cong :premises (@p477 @p465) :args ((and @t503 @t500))) % 0.43/0.83 (step @p479 :rule eq-symm :args (@t7 @t3)) % 0.43/0.83 (step @p480 :rule cong :premises (@p479) :args (@t504)) % 0.43/0.83 (step @p481 :rule refl :args (@t503)) % 0.43/0.83 (step @p482 :rule nary_cong :premises (@p481 @p480) :args (@t505)) % 0.43/0.83 (step @p483 :rule beta-reduce :args ((= (_ @t506 @t3) @t505))) % 0.43/0.83 (step @p484 :rule trans :premises (@p483 @p482)) % 0.43/0.83 (step @p485 :rule refl :args (@t3)) % 0.43/0.83 (step @p486 :rule beta-reduce :args ((= (_ @t462 @t7) @t506))) % 0.43/0.83 (step @p487 :rule ho_cong :premises (@p486 @p485)) % 0.43/0.83 (step @p488 :rule trans :premises (@p487 @p484)) % 0.43/0.83 (step @p489 :rule refl :args (@t7)) % 0.43/0.83 (step @p490 :rule ho_cong :premises (@p335 @p489)) % 0.43/0.83 (step @p491 :rule ho_cong :premises (@p490 @p485)) % 0.43/0.83 (step @p492 :rule trans :premises (@p491 @p488)) % 0.43/0.83 (step @p493 :rule trans :premises (@p492 @p478)) % 0.43/0.83 (step @p494 :rule eq_resolve :premises (@p7 @p493)) % 0.43/0.83 (step @p495 :rule and_elim :premises (@p494) :args (0)) % 0.43/0.83 (step @p496 :rule and_elim :premises (@p494) :args (1)) % 0.43/0.83 (step @p497 :rule cnf_or_pos :args (@t510)) % 0.43/0.83 (step @p498 :rule reordering :premises (@p497) :args ((or @t507 @t509 @t508 @t511))) % 0.43/0.83 (step @p499 :rule chain_m_resolution :premises (@p498 @p496 @p495 @p461) :args (@t511 (@list true false false) (@list @t507 @t501 @t498))) % 0.43/0.83 (step @p500 :rule refl :args (@t508)) % 0.43/0.83 (step @p501 :rule refl :args (@t509)) % 0.43/0.83 (step @p502 :rule nary_cong :premises (@p501 @p500 @p462) :args (@t512)) % 0.43/0.83 (step @p503 :rule refl :args (@t513)) % 0.43/0.83 (step @p504 :rule cong :premises (@p503 @p502) :args ((=> @t513 @t512))) % 0.43/0.83 (assume-push @p512 @t513) % 0.43/0.83 (step @p506 :rule instantiate :premises (@p373) :args ((@list @t487 @t488))) % 0.43/0.83 (step-pop @p513 :rule scope :premises (@p506)) % 0.43/0.83 (step @p507 :rule process_scope :premises (@p513) :args (@t512)) % 0.43/0.83 (step @p509 :rule eq_resolve :premises (@p507 @p504)) % 0.43/0.83 (step @p510 :rule implies_elim :premises (@p509)) % 0.43/0.83 (step @p511 false :rule chain_m_resolution :premises (@p510 @p499 @p373) :args (false (@list true false) (@list @t510 @t513))) % 0.43/0.83 ) % 0.43/0.83 % SZS output end Proof % 0.43/0.83 % cvc5 exiting %------------------------------------------------------------------------------