%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP050^1 : 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 : n028.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 0.45s 0.97s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP050^1 : TPTP v9.2.1. Released v7.5.0. % 0.14/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.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 04:12:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.40/0.59 %----Proving TH0 % 0.45/0.97 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.97 % SZS status Theorem % 0.45/0.97 % SZS output start Proof % 0.45/0.97 ( % 0.45/0.97 (declare-sort tptp.nat 0) % 0.45/0.97 (declare-sort tptp.list_nat 0) % 0.45/0.97 (declare-sort tptp.product_prod_nat_nat 0) % 0.45/0.97 (declare-sort tptp.a 0) % 0.45/0.97 (declare-sort tptp.set_Pr1986765409at_nat 0) % 0.45/0.97 (declare-sort tptp.list_P559422087at_nat 0) % 0.45/0.97 (declare-sort tptp.set_nat 0) % 0.45/0.97 (declare-sort tptp.set_se1612935105at_nat 0) % 0.45/0.97 (declare-sort tptp.set_set_nat 0) % 0.45/0.97 (declare-const tptp.member701585322at_nat (-> tptp.product_prod_nat_nat tptp.set_Pr1986765409at_nat Bool)) % 0.45/0.97 (declare-const tptp.member_nat (-> tptp.nat tptp.set_nat Bool)) % 0.45/0.97 (declare-const tptp.v_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.set_nat)) % 0.45/0.97 (declare-const tptp.inf_inf_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.45/0.97 (declare-const tptp.nil_Pr1308055047at_nat tptp.list_P559422087at_nat) % 0.45/0.97 (declare-const tptp.cons_nat (-> tptp.nat tptp.list_nat tptp.list_nat)) % 0.45/0.97 (declare-const tptp.size_s1990949619at_nat (-> tptp.list_P559422087at_nat tptp.nat)) % 0.45/0.97 (declare-const tptp.cons_P66992567at_nat (-> tptp.product_prod_nat_nat tptp.list_P559422087at_nat tptp.list_P559422087at_nat)) % 0.45/0.97 (declare-const tptp.pathVertices (-> tptp.nat tptp.list_P559422087at_nat tptp.list_nat)) % 0.45/0.97 (declare-const tptp.finite2012248349et_nat (-> tptp.set_set_nat Bool)) % 0.45/0.97 (declare-const tptp.member298845450at_nat (-> tptp.set_Pr1986765409at_nat tptp.set_se1612935105at_nat Bool)) % 0.45/0.97 (declare-const tptp.edmond771116670s_uE_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (declare-const tptp.collect_nat (-> (-> tptp.nat Bool) tptp.set_nat)) % 0.45/0.97 (declare-const tptp.outgoing_a2 (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.set_nat tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (declare-const tptp.edmond475474835dges_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.nat tptp.nat tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (declare-const tptp.set_nat2 (-> tptp.list_nat tptp.set_nat)) % 0.45/0.97 (declare-const tptp.isPath_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.nat tptp.list_P559422087at_nat tptp.nat Bool)) % 0.45/0.97 (declare-const tptp.finite1457549322at_nat (-> tptp.set_se1612935105at_nat Bool)) % 0.45/0.97 (declare-const tptp.edges tptp.set_Pr1986765409at_nat) % 0.45/0.97 (declare-const tptp.p tptp.list_P559422087at_nat) % 0.45/0.97 (declare-const tptp.set_Pr2131844118at_nat (-> tptp.list_P559422087at_nat tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (declare-const tptp.t tptp.nat) % 0.45/0.97 (declare-const tptp.isShortestPath_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.nat tptp.list_P559422087at_nat tptp.nat Bool)) % 0.45/0.97 (declare-const tptp.c (-> tptp.product_prod_nat_nat tptp.a)) % 0.45/0.97 (declare-const tptp.e_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (declare-const tptp.s tptp.nat) % 0.45/0.97 (declare-const tptp.incoming_a2 (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.set_nat tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (declare-const tptp.incoming_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.nat tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (declare-const tptp.outgoing_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.nat tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (declare-const tptp.edmond1517640972ysis_a (-> (-> tptp.product_prod_nat_nat tptp.a) Bool)) % 0.45/0.97 (declare-const tptp.product_Pair_nat_nat (-> tptp.nat tptp.nat tptp.product_prod_nat_nat)) % 0.45/0.97 (declare-const tptp.adjacent_nodes_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.nat tptp.set_nat)) % 0.45/0.97 (declare-const tptp.finite_card_nat (-> tptp.set_nat tptp.nat)) % 0.45/0.97 (declare-const tptp.collec7649004at_nat (-> (-> tptp.product_prod_nat_nat Bool) tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (declare-const tptp.reachableNodes_a (-> (-> tptp.product_prod_nat_nat tptp.a) tptp.nat tptp.set_nat)) % 0.45/0.97 (declare-const tptp.inf_in586391887at_nat (-> tptp.set_Pr1986765409at_nat tptp.set_Pr1986765409at_nat tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (declare-const tptp.finite447719721at_nat (-> tptp.set_Pr1986765409at_nat tptp.nat)) % 0.45/0.97 (declare-const tptp.member_set_nat (-> tptp.set_nat tptp.set_set_nat Bool)) % 0.45/0.97 (declare-const tptp.finite772653738at_nat (-> tptp.set_Pr1986765409at_nat Bool)) % 0.45/0.97 (declare-const tptp.inf_inf_set_nat (-> tptp.set_nat tptp.set_nat tptp.set_nat)) % 0.45/0.97 (define tptp.ord_le841296385at_nat () (let ((_let_1 (@var "B5" tptp.set_Pr1986765409at_nat))) (let ((_let_2 (@var "T2" tptp.product_prod_nat_nat))) (let ((_let_3 (_ tptp.member701585322at_nat _let_2))) (let ((_let_4 (@var "A5" tptp.set_Pr1986765409at_nat))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.45/0.97 (define tptp.ord_less_eq_set_nat () (let ((_let_1 (@var "B5" tptp.set_nat))) (let ((_let_2 (@var "T2" tptp.nat))) (let ((_let_3 (_ tptp.member_nat _let_2))) (let ((_let_4 (@var "A5" tptp.set_nat))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.45/0.97 (define tptp.ord_less_eq_nat () (let ((_let_1 (@var "B3" tptp.nat))) (let ((_let_2 (@var "A3" tptp.nat))) (lambda (@list _let_1 _let_2) (= (_ (_ tptp.inf_inf_nat _let_2) _let_1) _let_1))))) % 0.45/0.97 (define tptp.finite_finite_nat () (let ((_let_1 (@var "M3" tptp.nat))) (let ((_let_2 (@var "X3" tptp.nat))) (let ((_let_3 (@var "N2" tptp.set_nat))) (lambda (@list _let_3) (exists (@list _let_1) (forall (@list _let_2) (=> (_ (_ tptp.member_nat _let_2) _let_3) (_ (_ tptp.ord_less_eq_nat _let_2) _let_1))))))))) % 0.45/0.97 (define tptp.finite_Graph_a () (let ((_let_1 (@var "C4" (-> tptp.product_prod_nat_nat tptp.a)))) (lambda (@list _let_1) (_ tptp.finite_finite_nat (_ tptp.v_a _let_1))))) % 0.45/0.97 (define @t1 () (_ tptp.isShortestPath_a tptp.c)) % 0.45/0.97 (define @t2 () (_ (_ (_ @t1 tptp.s) tptp.p) tptp.t)) % 0.45/0.97 (define @t3 () (_ tptp.set_Pr2131844118at_nat tptp.p)) % 0.45/0.97 (define @t4 () (_ tptp.ord_le841296385at_nat tptp.edges)) % 0.45/0.97 (define @t5 () (_ tptp.e_a tptp.c)) % 0.45/0.97 (define @t6 () (@var "U" tptp.set_nat)) % 0.45/0.97 (define @t7 () (_ (_ tptp.incoming_a2 tptp.c) @t6)) % 0.45/0.97 (define @t8 () (@list @t6)) % 0.45/0.97 (define @t9 () (_ (_ tptp.outgoing_a2 tptp.c) @t6)) % 0.45/0.97 (define @t10 () (_ tptp.edmond771116670s_uE_a tptp.c)) % 0.45/0.97 (define @t11 () (@var "U2" tptp.nat)) % 0.45/0.97 (define @t12 () (_ (_ tptp.incoming_a tptp.c) @t11)) % 0.45/0.97 (define @t13 () (@list @t11)) % 0.45/0.97 (define @t14 () (_ (_ tptp.outgoing_a tptp.c) @t11)) % 0.45/0.97 (define @t15 () (_ tptp.finite_Graph_a tptp.c)) % 0.45/0.97 (define @t16 () (@var "B" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t17 () (@var "A" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t18 () (_ tptp.ord_le841296385at_nat @t17)) % 0.45/0.97 (define @t19 () (_ @t18 @t16)) % 0.45/0.97 (define @t20 () (@var "X" tptp.product_prod_nat_nat)) % 0.45/0.97 (define @t21 () (_ tptp.member701585322at_nat @t20)) % 0.45/0.97 (define @t22 () (_ @t21 @t17)) % 0.45/0.97 (define @t23 () (@list @t20)) % 0.45/0.97 (define @t24 () (@list @t17 @t16)) % 0.45/0.97 (define @t25 () (@var "B" tptp.set_nat)) % 0.45/0.97 (define @t26 () (@var "A" tptp.set_nat)) % 0.45/0.97 (define @t27 () (_ tptp.ord_less_eq_set_nat @t26)) % 0.45/0.97 (define @t28 () (_ @t27 @t25)) % 0.45/0.97 (define @t29 () (@var "X" tptp.nat)) % 0.45/0.97 (define @t30 () (_ tptp.member_nat @t29)) % 0.45/0.97 (define @t31 () (_ @t30 @t26)) % 0.45/0.97 (define @t32 () (@list @t29)) % 0.45/0.97 (define @t33 () (@list @t26 @t25)) % 0.45/0.97 (define @t34 () (= @t17 @t16)) % 0.45/0.97 (define @t35 () (_ tptp.ord_le841296385at_nat @t16)) % 0.45/0.97 (define @t36 () (_ @t35 @t17)) % 0.45/0.97 (define @t37 () (= @t26 @t25)) % 0.45/0.97 (define @t38 () (_ tptp.ord_less_eq_set_nat @t25)) % 0.45/0.97 (define @t39 () (_ @t38 @t26)) % 0.45/0.97 (define @t40 () (@var "X2" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t41 () (_ tptp.ord_le841296385at_nat @t40)) % 0.45/0.97 (define @t42 () (@var "X2" tptp.set_nat)) % 0.45/0.97 (define @t43 () (_ tptp.ord_less_eq_set_nat @t42)) % 0.45/0.97 (define @t44 () (@var "X2" tptp.nat)) % 0.45/0.97 (define @t45 () (_ tptp.ord_less_eq_nat @t44)) % 0.45/0.97 (define @t46 () (_ tptp.v_a tptp.c)) % 0.45/0.97 (define @t47 () (_ (_ (_ tptp.edmond475474835dges_a tptp.c) tptp.s) tptp.t)) % 0.45/0.97 (define @t48 () (@var "E" tptp.product_prod_nat_nat)) % 0.45/0.97 (define @t49 () (_ tptp.member701585322at_nat @t48)) % 0.45/0.97 (define @t50 () (_ @t49 @t5)) % 0.45/0.97 (define @t51 () (@var "P" tptp.list_P559422087at_nat)) % 0.45/0.97 (define @t52 () (_ tptp.set_Pr2131844118at_nat @t51)) % 0.45/0.97 (define @t53 () (_ @t49 @t52)) % 0.45/0.97 (define @t54 () (=> @t53 @t50)) % 0.45/0.97 (define @t55 () (@var "V" tptp.nat)) % 0.45/0.97 (define @t56 () (_ tptp.isPath_a tptp.c)) % 0.45/0.97 (define @t57 () (_ @t56 @t11)) % 0.45/0.97 (define @t58 () (_ (_ @t57 @t51) @t55)) % 0.45/0.97 (define @t59 () (@list @t11 @t51 @t55 @t48)) % 0.45/0.97 (define @t60 () (forall @t59 (=> @t58 @t54))) % 0.45/0.97 (define @t61 () (_ (_ (_ @t1 @t11) @t51) @t55)) % 0.45/0.97 (define @t62 () (@list @t11 @t51 @t55)) % 0.45/0.97 (define @t63 () (forall @t62 (=> @t61 @t58))) % 0.45/0.97 (define @t64 () (_ (_ tptp.adjacent_nodes_a tptp.c) @t11)) % 0.45/0.97 (define @t65 () (@var "C" (-> tptp.product_prod_nat_nat tptp.a))) % 0.45/0.97 (define @t66 () (_ tptp.edmond1517640972ysis_a @t65)) % 0.45/0.97 (define @t67 () (_ tptp.finite_Graph_a @t65)) % 0.45/0.97 (define @t68 () (@list @t65)) % 0.45/0.97 (define @t69 () (_ tptp.e_a @t65)) % 0.45/0.97 (define @t70 () (@var "T" tptp.nat)) % 0.45/0.97 (define @t71 () (@var "S" tptp.nat)) % 0.45/0.97 (define @t72 () (_ (_ (_ tptp.edmond475474835dges_a @t65) @t71) @t70)) % 0.45/0.97 (define @t73 () (@list @t65 @t71 @t70)) % 0.45/0.97 (define @t74 () (_ tptp.edmond771116670s_uE_a @t65)) % 0.45/0.97 (define @t75 () (@var "B2" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t76 () (@var "A2" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t77 () (= @t76 @t75)) % 0.45/0.97 (define @t78 () (_ tptp.ord_le841296385at_nat @t76)) % 0.45/0.97 (define @t79 () (_ @t78 @t75)) % 0.45/0.97 (define @t80 () (_ tptp.ord_le841296385at_nat @t75)) % 0.45/0.97 (define @t81 () (_ @t80 @t76)) % 0.45/0.97 (define @t82 () (@list @t75 @t76)) % 0.45/0.97 (define @t83 () (@var "B2" tptp.set_nat)) % 0.45/0.97 (define @t84 () (@var "A2" tptp.set_nat)) % 0.45/0.97 (define @t85 () (= @t84 @t83)) % 0.45/0.97 (define @t86 () (_ tptp.ord_less_eq_set_nat @t84)) % 0.45/0.97 (define @t87 () (_ @t86 @t83)) % 0.45/0.97 (define @t88 () (_ tptp.ord_less_eq_set_nat @t83)) % 0.45/0.97 (define @t89 () (_ @t88 @t84)) % 0.45/0.97 (define @t90 () (@list @t83 @t84)) % 0.45/0.97 (define @t91 () (@var "B2" tptp.nat)) % 0.45/0.97 (define @t92 () (@var "A2" tptp.nat)) % 0.45/0.97 (define @t93 () (= @t92 @t91)) % 0.45/0.97 (define @t94 () (_ tptp.ord_less_eq_nat @t92)) % 0.45/0.97 (define @t95 () (_ @t94 @t91)) % 0.45/0.97 (define @t96 () (_ tptp.ord_less_eq_nat @t91)) % 0.45/0.97 (define @t97 () (_ @t96 @t92)) % 0.45/0.97 (define @t98 () (@list @t91 @t92)) % 0.45/0.97 (define @t99 () (@var "B3" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t100 () (@var "A3" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t101 () (_ (_ tptp.ord_le841296385at_nat @t100) @t99)) % 0.45/0.97 (define @t102 () (_ (_ tptp.ord_le841296385at_nat @t99) @t100)) % 0.45/0.97 (define @t103 () (@list @t100 @t99)) % 0.45/0.97 (define @t104 () (@var "Z" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t105 () (@var "Y" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t106 () (lambda (@list @t105 @t104) (= @t105 @t104))) % 0.45/0.97 (define @t107 () (@var "B3" tptp.set_nat)) % 0.45/0.97 (define @t108 () (@var "A3" tptp.set_nat)) % 0.45/0.97 (define @t109 () (_ (_ tptp.ord_less_eq_set_nat @t108) @t107)) % 0.45/0.97 (define @t110 () (_ (_ tptp.ord_less_eq_set_nat @t107) @t108)) % 0.45/0.97 (define @t111 () (@list @t108 @t107)) % 0.45/0.97 (define @t112 () (@var "Z" tptp.set_nat)) % 0.45/0.97 (define @t113 () (@var "Y" tptp.set_nat)) % 0.45/0.97 (define @t114 () (lambda (@list @t113 @t112) (= @t113 @t112))) % 0.45/0.97 (define @t115 () (@var "B3" tptp.nat)) % 0.45/0.97 (define @t116 () (@var "A3" tptp.nat)) % 0.45/0.97 (define @t117 () (_ (_ tptp.ord_less_eq_nat @t116) @t115)) % 0.45/0.97 (define @t118 () (_ (_ tptp.ord_less_eq_nat @t115) @t116)) % 0.45/0.97 (define @t119 () (@list @t116 @t115)) % 0.45/0.97 (define @t120 () (@var "Z" tptp.nat)) % 0.45/0.97 (define @t121 () (@var "Y" tptp.nat)) % 0.45/0.97 (define @t122 () (lambda (@list @t121 @t120) (= @t121 @t120))) % 0.45/0.97 (define @t123 () (@var "C" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t124 () (_ tptp.ord_le841296385at_nat @t123)) % 0.45/0.97 (define @t125 () (@var "C" tptp.set_nat)) % 0.45/0.97 (define @t126 () (_ tptp.ord_less_eq_set_nat @t125)) % 0.45/0.97 (define @t127 () (@var "C" tptp.nat)) % 0.45/0.97 (define @t128 () (_ tptp.ord_less_eq_nat @t127)) % 0.45/0.97 (define @t129 () (@var "P2" (-> tptp.nat tptp.nat Bool))) % 0.45/0.97 (define @t130 () (@var "B4" tptp.nat)) % 0.45/0.97 (define @t131 () (@var "A4" tptp.nat)) % 0.45/0.97 (define @t132 () (_ (_ @t129 @t131) @t130)) % 0.45/0.97 (define @t133 () (@list @t131 @t130)) % 0.45/0.97 (define @t134 () (@var "Z2" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t135 () (_ @t41 @t134)) % 0.45/0.97 (define @t136 () (@var "Y2" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t137 () (_ tptp.ord_le841296385at_nat @t136)) % 0.45/0.97 (define @t138 () (_ @t41 @t136)) % 0.45/0.97 (define @t139 () (@list @t40 @t136 @t134)) % 0.45/0.97 (define @t140 () (@var "Z2" tptp.set_nat)) % 0.45/0.97 (define @t141 () (_ @t43 @t140)) % 0.45/0.97 (define @t142 () (@var "Y2" tptp.set_nat)) % 0.45/0.97 (define @t143 () (_ tptp.ord_less_eq_set_nat @t142)) % 0.45/0.97 (define @t144 () (_ @t43 @t142)) % 0.45/0.97 (define @t145 () (@list @t42 @t142 @t140)) % 0.45/0.97 (define @t146 () (@var "Z2" tptp.nat)) % 0.45/0.97 (define @t147 () (_ @t45 @t146)) % 0.45/0.97 (define @t148 () (@var "Y2" tptp.nat)) % 0.45/0.97 (define @t149 () (_ tptp.ord_less_eq_nat @t148)) % 0.45/0.97 (define @t150 () (_ @t149 @t146)) % 0.45/0.97 (define @t151 () (_ @t45 @t148)) % 0.45/0.97 (define @t152 () (@list @t44 @t148 @t146)) % 0.45/0.97 (define @t153 () (@list @t76 @t75)) % 0.45/0.97 (define @t154 () (@list @t84 @t83)) % 0.45/0.97 (define @t155 () (@list @t92 @t91)) % 0.45/0.97 (define @t156 () (_ @t78 @t123)) % 0.45/0.97 (define @t157 () (@list @t76 @t75 @t123)) % 0.45/0.97 (define @t158 () (_ @t86 @t125)) % 0.45/0.97 (define @t159 () (@list @t84 @t83 @t125)) % 0.45/0.97 (define @t160 () (_ @t94 @t127)) % 0.45/0.97 (define @t161 () (@list @t92 @t91 @t127)) % 0.45/0.97 (define @t162 () (_ @t80 @t123)) % 0.45/0.97 (define @t163 () (=> @t162 @t156)) % 0.45/0.97 (define @t164 () (_ @t88 @t125)) % 0.45/0.97 (define @t165 () (=> @t164 @t158)) % 0.45/0.97 (define @t166 () (_ @t96 @t127)) % 0.45/0.97 (define @t167 () (=> @t166 @t160)) % 0.45/0.97 (define @t168 () (= @t40 @t136)) % 0.45/0.97 (define @t169 () (_ @t137 @t40)) % 0.45/0.97 (define @t170 () (@list @t136 @t40)) % 0.45/0.97 (define @t171 () (= @t42 @t142)) % 0.45/0.97 (define @t172 () (_ @t143 @t42)) % 0.45/0.97 (define @t173 () (@list @t142 @t42)) % 0.45/0.97 (define @t174 () (= @t44 @t148)) % 0.45/0.97 (define @t175 () (_ @t149 @t44)) % 0.45/0.97 (define @t176 () (@list @t148 @t44)) % 0.45/0.97 (define @t177 () (not @t151)) % 0.45/0.97 (define @t178 () (_ tptp.ord_less_eq_nat @t146)) % 0.45/0.97 (define @t179 () (_ @t178 @t44)) % 0.45/0.97 (define @t180 () (_ @t178 @t148)) % 0.45/0.97 (define @t181 () (@list @t44 @t148)) % 0.45/0.97 (define @t182 () (@list @t40 @t136)) % 0.45/0.97 (define @t183 () (@list @t42 @t142)) % 0.45/0.97 (define @t184 () (@var "X3" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t185 () (@var "Y3" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t186 () (@list @t184 @t185)) % 0.45/0.97 (define @t187 () (@var "X3" tptp.set_nat)) % 0.45/0.97 (define @t188 () (@var "Y3" tptp.set_nat)) % 0.45/0.97 (define @t189 () (@list @t187 @t188)) % 0.45/0.97 (define @t190 () (@var "X3" tptp.nat)) % 0.45/0.97 (define @t191 () (@var "Y3" tptp.nat)) % 0.45/0.97 (define @t192 () (_ tptp.ord_less_eq_nat @t190)) % 0.45/0.97 (define @t193 () (@list @t190 @t191)) % 0.45/0.97 (define @t194 () (@var "F" (-> tptp.set_Pr1986765409at_nat tptp.set_Pr1986765409at_nat))) % 0.45/0.97 (define @t195 () (@var "Y4" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t196 () (@var "X" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t197 () (_ tptp.ord_le841296385at_nat @t196)) % 0.45/0.97 (define @t198 () (_ @t197 @t195)) % 0.45/0.97 (define @t199 () (@list @t196 @t195)) % 0.45/0.97 (define @t200 () (forall @t199 (=> @t198 (_ (_ tptp.ord_le841296385at_nat (_ @t194 @t196)) (_ @t194 @t195))))) % 0.45/0.97 (define @t201 () (=> @t200 (_ (_ tptp.ord_le841296385at_nat (_ @t194 @t76)) @t123))) % 0.45/0.97 (define @t202 () (_ @t194 @t75)) % 0.45/0.97 (define @t203 () (@list @t76 @t75 @t194 @t123)) % 0.45/0.97 (define @t204 () (@var "F" (-> tptp.set_Pr1986765409at_nat tptp.set_nat))) % 0.45/0.97 (define @t205 () (forall @t199 (=> @t198 (_ (_ tptp.ord_less_eq_set_nat (_ @t204 @t196)) (_ @t204 @t195))))) % 0.45/0.97 (define @t206 () (=> @t205 (_ (_ tptp.ord_less_eq_set_nat (_ @t204 @t76)) @t125))) % 0.45/0.97 (define @t207 () (_ @t204 @t75)) % 0.45/0.97 (define @t208 () (@list @t76 @t75 @t204 @t125)) % 0.45/0.97 (define @t209 () (@var "F" (-> tptp.set_Pr1986765409at_nat tptp.nat))) % 0.45/0.97 (define @t210 () (forall @t199 (=> @t198 (_ (_ tptp.ord_less_eq_nat (_ @t209 @t196)) (_ @t209 @t195))))) % 0.45/0.97 (define @t211 () (=> @t210 (_ (_ tptp.ord_less_eq_nat (_ @t209 @t76)) @t127))) % 0.45/0.97 (define @t212 () (_ @t209 @t75)) % 0.45/0.97 (define @t213 () (@list @t76 @t75 @t209 @t127)) % 0.45/0.97 (define @t214 () (@var "F" (-> tptp.set_nat tptp.set_Pr1986765409at_nat))) % 0.45/0.97 (define @t215 () (@var "Y4" tptp.set_nat)) % 0.45/0.97 (define @t216 () (@var "X" tptp.set_nat)) % 0.45/0.97 (define @t217 () (_ tptp.ord_less_eq_set_nat @t216)) % 0.45/0.97 (define @t218 () (_ @t217 @t215)) % 0.45/0.97 (define @t219 () (@list @t216 @t215)) % 0.45/0.97 (define @t220 () (forall @t219 (=> @t218 (_ (_ tptp.ord_le841296385at_nat (_ @t214 @t216)) (_ @t214 @t215))))) % 0.45/0.97 (define @t221 () (=> @t220 (_ (_ tptp.ord_le841296385at_nat (_ @t214 @t84)) @t123))) % 0.45/0.97 (define @t222 () (_ @t214 @t83)) % 0.45/0.97 (define @t223 () (@list @t84 @t83 @t214 @t123)) % 0.45/0.97 (define @t224 () (@var "F" (-> tptp.set_nat tptp.set_nat))) % 0.45/0.97 (define @t225 () (forall @t219 (=> @t218 (_ (_ tptp.ord_less_eq_set_nat (_ @t224 @t216)) (_ @t224 @t215))))) % 0.45/0.97 (define @t226 () (=> @t225 (_ (_ tptp.ord_less_eq_set_nat (_ @t224 @t84)) @t125))) % 0.45/0.97 (define @t227 () (_ @t224 @t83)) % 0.45/0.97 (define @t228 () (@list @t84 @t83 @t224 @t125)) % 0.45/0.97 (define @t229 () (@var "F" (-> tptp.set_nat tptp.nat))) % 0.45/0.97 (define @t230 () (forall @t219 (=> @t218 (_ (_ tptp.ord_less_eq_nat (_ @t229 @t216)) (_ @t229 @t215))))) % 0.45/0.97 (define @t231 () (=> @t230 (_ (_ tptp.ord_less_eq_nat (_ @t229 @t84)) @t127))) % 0.45/0.97 (define @t232 () (_ @t229 @t83)) % 0.45/0.97 (define @t233 () (@list @t84 @t83 @t229 @t127)) % 0.45/0.97 (define @t234 () (@var "F" (-> tptp.nat tptp.set_Pr1986765409at_nat))) % 0.45/0.97 (define @t235 () (@var "Y4" tptp.nat)) % 0.45/0.97 (define @t236 () (_ tptp.ord_less_eq_nat @t29)) % 0.45/0.97 (define @t237 () (_ @t236 @t235)) % 0.45/0.97 (define @t238 () (@list @t29 @t235)) % 0.45/0.97 (define @t239 () (forall @t238 (=> @t237 (_ (_ tptp.ord_le841296385at_nat (_ @t234 @t29)) (_ @t234 @t235))))) % 0.45/0.97 (define @t240 () (=> @t239 (_ (_ tptp.ord_le841296385at_nat (_ @t234 @t92)) @t123))) % 0.45/0.97 (define @t241 () (_ @t234 @t91)) % 0.45/0.97 (define @t242 () (@list @t92 @t91 @t234 @t123)) % 0.45/0.97 (define @t243 () (@var "F" (-> tptp.nat tptp.set_nat))) % 0.45/0.97 (define @t244 () (forall @t238 (=> @t237 (_ (_ tptp.ord_less_eq_set_nat (_ @t243 @t29)) (_ @t243 @t235))))) % 0.45/0.97 (define @t245 () (=> @t244 (_ (_ tptp.ord_less_eq_set_nat (_ @t243 @t92)) @t125))) % 0.45/0.97 (define @t246 () (_ @t243 @t91)) % 0.45/0.97 (define @t247 () (@list @t92 @t91 @t243 @t125)) % 0.45/0.97 (define @t248 () (@var "F" (-> tptp.nat tptp.nat))) % 0.45/0.97 (define @t249 () (forall @t238 (=> @t237 (_ (_ tptp.ord_less_eq_nat (_ @t248 @t29)) (_ @t248 @t235))))) % 0.45/0.97 (define @t250 () (=> @t249 (_ (_ tptp.ord_less_eq_nat (_ @t248 @t92)) @t127))) % 0.45/0.97 (define @t251 () (_ @t248 @t91)) % 0.45/0.97 (define @t252 () (@list @t92 @t91 @t248 @t127)) % 0.45/0.97 (define @t253 () (=> @t162 (=> @t200 (_ @t78 (_ @t194 @t123))))) % 0.45/0.97 (define @t254 () (@list @t76 @t194 @t75 @t123)) % 0.45/0.97 (define @t255 () (=> @t162 (=> @t205 (_ @t86 (_ @t204 @t123))))) % 0.45/0.97 (define @t256 () (@list @t84 @t204 @t75 @t123)) % 0.45/0.97 (define @t257 () (=> @t162 (=> @t210 (_ @t94 (_ @t209 @t123))))) % 0.45/0.97 (define @t258 () (@list @t92 @t209 @t75 @t123)) % 0.45/0.97 (define @t259 () (=> @t164 (=> @t220 (_ @t78 (_ @t214 @t125))))) % 0.45/0.97 (define @t260 () (@list @t76 @t214 @t83 @t125)) % 0.45/0.97 (define @t261 () (=> @t164 (=> @t225 (_ @t86 (_ @t224 @t125))))) % 0.45/0.97 (define @t262 () (@list @t84 @t224 @t83 @t125)) % 0.45/0.97 (define @t263 () (=> @t164 (=> @t230 (_ @t94 (_ @t229 @t125))))) % 0.45/0.97 (define @t264 () (@list @t92 @t229 @t83 @t125)) % 0.45/0.97 (define @t265 () (=> @t166 (=> @t239 (_ @t78 (_ @t234 @t127))))) % 0.45/0.97 (define @t266 () (@list @t76 @t234 @t91 @t127)) % 0.45/0.97 (define @t267 () (=> @t166 (=> @t244 (_ @t86 (_ @t243 @t127))))) % 0.45/0.97 (define @t268 () (@list @t84 @t243 @t91 @t127)) % 0.45/0.97 (define @t269 () (=> @t166 (=> @t249 (_ @t94 (_ @t248 @t127))))) % 0.45/0.97 (define @t270 () (@list @t92 @t248 @t91 @t127)) % 0.45/0.97 (define @t271 () (@var "P2" (-> tptp.nat Bool))) % 0.45/0.97 (define @t272 () (_ tptp.collect_nat @t271)) % 0.45/0.97 (define @t273 () (_ tptp.member_nat @t92)) % 0.45/0.97 (define @t274 () (@var "A2" tptp.product_prod_nat_nat)) % 0.45/0.97 (define @t275 () (@var "P2" (-> tptp.product_prod_nat_nat Bool))) % 0.45/0.97 (define @t276 () (_ tptp.collec7649004at_nat @t275)) % 0.45/0.97 (define @t277 () (_ tptp.member_nat @t190)) % 0.45/0.97 (define @t278 () (@list @t190)) % 0.45/0.97 (define @t279 () (@list @t26)) % 0.45/0.97 (define @t280 () (@var "X3" tptp.product_prod_nat_nat)) % 0.45/0.97 (define @t281 () (_ tptp.member701585322at_nat @t280)) % 0.45/0.97 (define @t282 () (@list @t280)) % 0.45/0.97 (define @t283 () (@list @t17)) % 0.45/0.97 (define @t284 () (@var "Q" (-> tptp.product_prod_nat_nat Bool))) % 0.45/0.97 (define @t285 () (_ tptp.collec7649004at_nat @t284)) % 0.45/0.97 (define @t286 () (_ (_ tptp.ord_le841296385at_nat @t276) @t285)) % 0.45/0.97 (define @t287 () (@list @t275 @t284)) % 0.45/0.97 (define @t288 () (@var "Q" (-> tptp.nat Bool))) % 0.45/0.97 (define @t289 () (_ tptp.collect_nat @t288)) % 0.45/0.97 (define @t290 () (_ (_ tptp.ord_less_eq_set_nat @t272) @t289)) % 0.45/0.97 (define @t291 () (@list @t271 @t288)) % 0.45/0.97 (define @t292 () (@var "A5" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t293 () (@var "B5" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t294 () (@list @t292 @t293)) % 0.45/0.97 (define @t295 () (@var "A5" tptp.set_nat)) % 0.45/0.97 (define @t296 () (@var "B5" tptp.set_nat)) % 0.45/0.97 (define @t297 () (@list @t295 @t296)) % 0.45/0.97 (define @t298 () (@var "C2" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t299 () (_ @t18 @t298)) % 0.45/0.97 (define @t300 () (@var "C2" tptp.set_nat)) % 0.45/0.97 (define @t301 () (_ @t27 @t300)) % 0.45/0.97 (define @t302 () (=> (_ @t275 @t20) (_ @t284 @t20))) % 0.45/0.97 (define @t303 () (_ @t271 @t29)) % 0.45/0.97 (define @t304 () (=> @t303 (_ @t288 @t29))) % 0.45/0.97 (define @t305 () (@var "C" tptp.product_prod_nat_nat)) % 0.45/0.97 (define @t306 () (_ tptp.member701585322at_nat @t305)) % 0.45/0.97 (define @t307 () (_ @t306 @t16)) % 0.45/0.97 (define @t308 () (_ @t306 @t17)) % 0.45/0.97 (define @t309 () (_ tptp.member_nat @t127)) % 0.45/0.97 (define @t310 () (_ @t309 @t25)) % 0.45/0.97 (define @t311 () (_ @t309 @t26)) % 0.45/0.97 (define @t312 () (@var "X2" tptp.product_prod_nat_nat)) % 0.45/0.97 (define @t313 () (_ tptp.member701585322at_nat @t312)) % 0.45/0.97 (define @t314 () (_ tptp.member_nat @t44)) % 0.45/0.97 (define @t315 () (_ (_ tptp.reachableNodes_a tptp.c) @t71)) % 0.45/0.97 (define @t316 () (_ tptp.member_nat @t71)) % 0.45/0.97 (define @t317 () (@var "C3" (-> tptp.product_prod_nat_nat tptp.a))) % 0.45/0.97 (define @t318 () (_ (_ (_ (_ tptp.isPath_a @t317) @t11) @t51) @t55)) % 0.45/0.97 (define @t319 () (_ tptp.e_a @t317)) % 0.45/0.97 (define @t320 () (_ tptp.inf_in586391887at_nat @t52)) % 0.45/0.97 (define @t321 () (_ tptp.finite772653738at_nat @t5)) % 0.45/0.97 (define @t322 () (_ (_ tptp.incoming_a2 @t65) @t6)) % 0.45/0.97 (define @t323 () (@list @t65 @t6)) % 0.45/0.97 (define @t324 () (_ (_ tptp.outgoing_a2 @t65) @t6)) % 0.45/0.97 (define @t325 () (_ (_ tptp.incoming_a @t65) @t11)) % 0.45/0.97 (define @t326 () (@list @t65 @t11)) % 0.45/0.97 (define @t327 () (_ (_ tptp.outgoing_a @t65) @t11)) % 0.45/0.97 (define @t328 () (_ (_ (_ (_ tptp.isPath_a @t65) @t11) @t51) @t55)) % 0.45/0.97 (define @t329 () (@var "V2" tptp.nat)) % 0.45/0.97 (define @t330 () (@var "V1" tptp.nat)) % 0.45/0.97 (define @t331 () (@var "U1" tptp.nat)) % 0.45/0.97 (define @t332 () (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat @t331) @t330)) @t52)) % 0.45/0.97 (define @t333 () (=> @t332 (=> (not (= @t330 @t55)) (exists (@list @t329) (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat @t330) @t329)) @t52))))) % 0.45/0.97 (define @t334 () (@list @t11 @t51 @t55 @t331 @t330)) % 0.45/0.97 (define @t335 () (_ tptp.inf_inf_set_nat @t26)) % 0.45/0.97 (define @t336 () (_ @t335 @t25)) % 0.45/0.97 (define @t337 () (_ @t309 @t336)) % 0.45/0.97 (define @t338 () (@list @t127 @t26 @t25)) % 0.45/0.97 (define @t339 () (_ tptp.inf_in586391887at_nat @t17)) % 0.45/0.97 (define @t340 () (_ @t339 @t16)) % 0.45/0.97 (define @t341 () (_ @t306 @t340)) % 0.45/0.97 (define @t342 () (@list @t305 @t17 @t16)) % 0.45/0.97 (define @t343 () (@var "U22" tptp.nat)) % 0.45/0.97 (define @t344 () (=> @t332 (=> (not (= @t331 @t11)) (exists (@list @t343) (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat @t343) @t331)) @t52))))) % 0.45/0.97 (define @t345 () (_ tptp.member_nat @t55)) % 0.45/0.97 (define @t346 () (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat @t11) @t55))) % 0.45/0.97 (define @t347 () (_ tptp.member_nat @t11)) % 0.45/0.97 (define @t348 () (_ tptp.ord_le841296385at_nat @t298)) % 0.45/0.97 (define @t349 () (_ @t348 @t16)) % 0.45/0.97 (define @t350 () (_ @t348 @t17)) % 0.45/0.97 (define @t351 () (_ @t348 @t340)) % 0.45/0.97 (define @t352 () (@list @t298 @t17 @t16)) % 0.45/0.97 (define @t353 () (_ tptp.ord_less_eq_set_nat @t300)) % 0.45/0.97 (define @t354 () (_ @t353 @t25)) % 0.45/0.97 (define @t355 () (_ @t353 @t26)) % 0.45/0.97 (define @t356 () (_ @t353 @t336)) % 0.45/0.97 (define @t357 () (@list @t300 @t26 @t25)) % 0.45/0.97 (define @t358 () (_ (_ tptp.reachableNodes_a @t65) @t71)) % 0.45/0.97 (define @t359 () (_ tptp.v_a @t65)) % 0.45/0.97 (define @t360 () (@var "D" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t361 () (_ tptp.ord_le841296385at_nat @t340)) % 0.45/0.97 (define @t362 () (@var "D" tptp.set_nat)) % 0.45/0.97 (define @t363 () (_ tptp.ord_less_eq_set_nat @t336)) % 0.45/0.97 (define @t364 () (@list @t16 @t17)) % 0.45/0.97 (define @t365 () (@list @t25 @t26)) % 0.45/0.97 (define @t366 () (_ (_ tptp.adjacent_nodes_a @t65) @t11)) % 0.45/0.97 (define @t367 () (@list @t65 @t11 @t51 @t55 @t331 @t330)) % 0.45/0.97 (define @t368 () (_ tptp.finite772653738at_nat @t69)) % 0.45/0.97 (define @t369 () (@var "G" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t370 () (@var "F2" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t371 () (_ tptp.finite772653738at_nat @t370)) % 0.45/0.97 (define @t372 () (@var "G" tptp.set_nat)) % 0.45/0.97 (define @t373 () (@var "F2" tptp.set_nat)) % 0.45/0.97 (define @t374 () (_ tptp.finite_finite_nat @t373)) % 0.45/0.97 (define @t375 () (@var "Xs" tptp.list_P559422087at_nat)) % 0.45/0.97 (define @t376 () (_ tptp.set_Pr2131844118at_nat @t375)) % 0.45/0.97 (define @t377 () (@var "Xs" tptp.list_nat)) % 0.45/0.97 (define @t378 () (_ tptp.set_nat2 @t377)) % 0.45/0.97 (define @t379 () (_ @t41 (_ (_ tptp.inf_in586391887at_nat @t136) @t134))) % 0.45/0.97 (define @t380 () (_ @t43 (_ (_ tptp.inf_inf_set_nat @t142) @t140))) % 0.45/0.97 (define @t381 () (_ @t45 (_ (_ tptp.inf_inf_nat @t148) @t146))) % 0.45/0.97 (define @t382 () (_ @t78 (_ (_ tptp.inf_in586391887at_nat @t75) @t123))) % 0.45/0.97 (define @t383 () (_ @t86 (_ (_ tptp.inf_inf_set_nat @t83) @t125))) % 0.45/0.97 (define @t384 () (_ @t94 (_ (_ tptp.inf_inf_nat @t91) @t127))) % 0.45/0.97 (define @t385 () (_ tptp.finite447719721at_nat @t16)) % 0.45/0.97 (define @t386 () (_ tptp.finite447719721at_nat @t17)) % 0.45/0.97 (define @t387 () (_ tptp.finite772653738at_nat @t16)) % 0.45/0.97 (define @t388 () (_ tptp.finite_card_nat @t25)) % 0.45/0.97 (define @t389 () (_ tptp.finite_card_nat @t26)) % 0.45/0.97 (define @t390 () (_ tptp.finite_finite_nat @t25)) % 0.45/0.97 (define @t391 () (_ tptp.finite_finite_nat @t46)) % 0.45/0.97 (define @t392 () (_ tptp.finite_finite_nat @t359)) % 0.45/0.97 (define @t393 () (@var "Xa" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t394 () (= @t196 @t393)) % 0.45/0.97 (define @t395 () (@var "A" tptp.set_se1612935105at_nat)) % 0.45/0.97 (define @t396 () (_ (_ tptp.member298845450at_nat @t393) @t395)) % 0.45/0.97 (define @t397 () (@list @t393)) % 0.45/0.97 (define @t398 () (_ (_ tptp.member298845450at_nat @t196) @t395)) % 0.45/0.97 (define @t399 () (@list @t196)) % 0.45/0.97 (define @t400 () (_ (_ tptp.member298845450at_nat @t76) @t395)) % 0.45/0.97 (define @t401 () (_ tptp.finite1457549322at_nat @t395)) % 0.45/0.97 (define @t402 () (@list @t395 @t76)) % 0.45/0.97 (define @t403 () (@var "Xa" tptp.set_nat)) % 0.45/0.97 (define @t404 () (= @t216 @t403)) % 0.45/0.97 (define @t405 () (@var "A" tptp.set_set_nat)) % 0.45/0.97 (define @t406 () (_ (_ tptp.member_set_nat @t403) @t405)) % 0.45/0.97 (define @t407 () (@list @t403)) % 0.45/0.97 (define @t408 () (_ (_ tptp.member_set_nat @t216) @t405)) % 0.45/0.97 (define @t409 () (@list @t216)) % 0.45/0.97 (define @t410 () (_ (_ tptp.member_set_nat @t84) @t405)) % 0.45/0.97 (define @t411 () (_ tptp.finite2012248349et_nat @t405)) % 0.45/0.97 (define @t412 () (@list @t405 @t84)) % 0.45/0.97 (define @t413 () (@var "Xa" tptp.nat)) % 0.45/0.97 (define @t414 () (= @t29 @t413)) % 0.45/0.97 (define @t415 () (_ (_ tptp.member_nat @t413) @t26)) % 0.45/0.97 (define @t416 () (@list @t413)) % 0.45/0.97 (define @t417 () (_ @t273 @t26)) % 0.45/0.97 (define @t418 () (_ tptp.finite_finite_nat @t26)) % 0.45/0.97 (define @t419 () (@list @t26 @t92)) % 0.45/0.97 (define @t420 () (_ (_ tptp.inf_in586391887at_nat @t76) @t75)) % 0.45/0.97 (define @t421 () (_ tptp.ord_le841296385at_nat @t420)) % 0.45/0.97 (define @t422 () (_ @t421 @t123)) % 0.45/0.97 (define @t423 () (_ (_ tptp.inf_inf_set_nat @t84) @t83)) % 0.45/0.97 (define @t424 () (_ tptp.ord_less_eq_set_nat @t423)) % 0.45/0.97 (define @t425 () (_ @t424 @t125)) % 0.45/0.97 (define @t426 () (_ (_ tptp.inf_inf_nat @t92) @t91)) % 0.45/0.97 (define @t427 () (_ tptp.ord_less_eq_nat @t426)) % 0.45/0.97 (define @t428 () (_ @t427 @t127)) % 0.45/0.97 (define @t429 () (_ (_ tptp.inf_in586391887at_nat @t100) @t99)) % 0.45/0.97 (define @t430 () (_ (_ tptp.inf_inf_set_nat @t108) @t107)) % 0.45/0.97 (define @t431 () (_ (_ tptp.inf_inf_nat @t116) @t115)) % 0.45/0.97 (define @t432 () (_ (_ tptp.inf_in586391887at_nat @t40) @t136)) % 0.45/0.97 (define @t433 () (_ (_ tptp.inf_inf_set_nat @t42) @t142)) % 0.45/0.97 (define @t434 () (_ (_ tptp.inf_inf_nat @t44) @t148)) % 0.45/0.97 (define @t435 () (@var "F" (-> tptp.set_Pr1986765409at_nat tptp.set_Pr1986765409at_nat tptp.set_Pr1986765409at_nat))) % 0.45/0.97 (define @t436 () (@var "Z3" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t437 () (_ tptp.ord_le841296385at_nat (_ (_ @t435 @t196) @t195))) % 0.45/0.97 (define @t438 () (@var "F" (-> tptp.set_nat tptp.set_nat tptp.set_nat))) % 0.45/0.97 (define @t439 () (@var "Z3" tptp.set_nat)) % 0.45/0.97 (define @t440 () (_ tptp.ord_less_eq_set_nat (_ (_ @t438 @t216) @t215))) % 0.45/0.97 (define @t441 () (@var "F" (-> tptp.nat tptp.nat tptp.nat))) % 0.45/0.97 (define @t442 () (@var "Z3" tptp.nat)) % 0.45/0.97 (define @t443 () (_ tptp.ord_less_eq_nat (_ (_ @t441 @t29) @t235))) % 0.45/0.97 (define @t444 () (= @t76 @t420)) % 0.45/0.97 (define @t445 () (= @t84 @t423)) % 0.45/0.97 (define @t446 () (= @t92 @t426)) % 0.45/0.97 (define @t447 () (_ @t421 @t40)) % 0.45/0.97 (define @t448 () (_ @t424 @t42)) % 0.45/0.97 (define @t449 () (_ @t427 @t44)) % 0.45/0.97 (define @t450 () (@var "D2" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t451 () (@var "D2" tptp.set_nat)) % 0.45/0.97 (define @t452 () (@var "D2" tptp.nat)) % 0.45/0.97 (define @t453 () (_ @t41 @t420)) % 0.45/0.97 (define @t454 () (_ @t41 @t75)) % 0.45/0.97 (define @t455 () (_ @t41 @t76)) % 0.45/0.97 (define @t456 () (@list @t40 @t76 @t75)) % 0.45/0.97 (define @t457 () (_ @t43 @t423)) % 0.45/0.97 (define @t458 () (_ @t43 @t83)) % 0.45/0.97 (define @t459 () (_ @t43 @t84)) % 0.45/0.97 (define @t460 () (@list @t42 @t84 @t83)) % 0.45/0.97 (define @t461 () (_ @t45 @t426)) % 0.45/0.97 (define @t462 () (_ @t45 @t91)) % 0.45/0.97 (define @t463 () (_ @t45 @t92)) % 0.45/0.97 (define @t464 () (@list @t44 @t92 @t91)) % 0.45/0.97 (define @t465 () (_ tptp.ord_le841296385at_nat @t432)) % 0.45/0.97 (define @t466 () (_ tptp.ord_less_eq_set_nat @t433)) % 0.45/0.97 (define @t467 () (_ tptp.ord_less_eq_nat @t434)) % 0.45/0.97 (define @t468 () (_ tptp.finite772653738at_nat @t17)) % 0.45/0.97 (define @t469 () (@var "T3" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t470 () (@var "S2" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t471 () (@var "T3" tptp.set_nat)) % 0.45/0.97 (define @t472 () (@var "S2" tptp.set_nat)) % 0.45/0.97 (define @t473 () (@var "Xs2" tptp.list_P559422087at_nat)) % 0.45/0.97 (define @t474 () (@var "Xs2" tptp.list_nat)) % 0.45/0.97 (define @t475 () (@var "B6" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t476 () (@var "N" tptp.nat)) % 0.45/0.97 (define @t477 () (@var "B6" tptp.set_nat)) % 0.45/0.97 (define @t478 () (@var "C2" tptp.nat)) % 0.45/0.97 (define @t479 () (@var "G2" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t480 () (@var "G2" tptp.set_nat)) % 0.45/0.97 (define @t481 () (@var "T4" tptp.set_Pr1986765409at_nat)) % 0.45/0.97 (define @t482 () (_ tptp.ord_less_eq_nat @t476)) % 0.45/0.97 (define @t483 () (@var "T4" tptp.set_nat)) % 0.45/0.97 (define @t484 () (_ (_ tptp.product_Pair_nat_nat @t44) @t148)) % 0.45/0.97 (define @t485 () (@var "P3" tptp.list_P559422087at_nat)) % 0.45/0.97 (define @t486 () (@var "Y22" tptp.list_P559422087at_nat)) % 0.45/0.97 (define @t487 () (@var "X22" tptp.list_P559422087at_nat)) % 0.45/0.97 (define @t488 () (@var "Y21" tptp.product_prod_nat_nat)) % 0.45/0.97 (define @t489 () (@var "X21" tptp.product_prod_nat_nat)) % 0.45/0.97 (define @t490 () (@var "Ys" tptp.list_P559422087at_nat)) % 0.45/0.97 (define @t491 () (@var "Z22" tptp.list_nat)) % 0.45/0.97 (define @t492 () (@var "E" tptp.nat)) % 0.45/0.97 (define @t493 () (_ tptp.member_nat @t492)) % 0.45/0.97 (define @t494 () (@var "Z1" tptp.nat)) % 0.45/0.97 (define @t495 () (@var "A2" tptp.list_nat)) % 0.45/0.97 (define @t496 () (@var "Z22" tptp.list_P559422087at_nat)) % 0.45/0.97 (define @t497 () (@var "Z1" tptp.product_prod_nat_nat)) % 0.45/0.97 (define @t498 () (@var "A2" tptp.list_P559422087at_nat)) % 0.45/0.97 (define @t499 () (@var "M2" tptp.nat)) % 0.45/0.97 (define @t500 () (@var "X4" tptp.nat)) % 0.45/0.97 (define @t501 () (@var "M" tptp.nat)) % 0.45/0.97 (define @t502 () (@var "Xb" tptp.nat)) % 0.45/0.97 (define @t503 () (@var "P4" tptp.list_P559422087at_nat)) % 0.45/0.97 (define @t504 () (_ (_ tptp.product_Pair_nat_nat @t29) @t235)) % 0.45/0.97 (define @t505 () (and (= @t44 @t29) (_ (_ tptp.member701585322at_nat @t504) @t5) (_ (_ (_ @t56 @t235) @t503) @t502))) % 0.45/0.97 (define @t506 () (_ (_ tptp.cons_P66992567at_nat @t504) @t503)) % 0.45/0.97 (define @t507 () (@var "Xa2" tptp.list_P559422087at_nat)) % 0.45/0.97 (define @t508 () (= @t507 @t506)) % 0.45/0.97 (define @t509 () (@list @t29 @t235 @t503)) % 0.45/0.97 (define @t510 () (= @t44 @t502)) % 0.45/0.97 (define @t511 () (= @t507 tptp.nil_Pr1308055047at_nat)) % 0.45/0.97 (define @t512 () (_ (_ (_ @t56 @t44) @t507) @t502)) % 0.45/0.97 (define @t513 () (@list @t44 @t507 @t502)) % 0.45/0.97 (define @t514 () (not @t505)) % 0.45/0.97 (define @t515 () (not @t510)) % 0.45/0.97 (define @t516 () (@var "P5" tptp.list_P559422087at_nat)) % 0.45/0.97 (define @t517 () (@var "U3" tptp.nat)) % 0.45/0.97 (define @t518 () (_ (_ tptp.product_Pair_nat_nat @t71) @t517)) % 0.45/0.97 (define @t519 () (@var "Y2" Bool)) % 0.45/0.97 (define @t520 () (@var "A22" tptp.nat)) % 0.45/0.97 (define @t521 () (@var "A1" tptp.list_P559422087at_nat)) % 0.45/0.97 (define @t522 () (@var "A0" tptp.nat)) % 0.45/0.97 (define @t523 () (@var "P2" (-> tptp.nat tptp.list_P559422087at_nat tptp.nat Bool))) % 0.45/0.97 (define @t524 () (@var "V3" tptp.nat)) % 0.45/0.97 (define @t525 () (_ @t523 @t517)) % 0.45/0.97 (define @t526 () (@var "X_1" tptp.nat)) % 0.45/0.97 (define @t527 () (not (_ @t4 @t5))) % 0.45/0.97 (define @t528 () (@var "T2" tptp.product_prod_nat_nat)) % 0.45/0.97 (define @t529 () (_ tptp.member701585322at_nat @t528)) % 0.45/0.97 (define @t530 () (_ @t529 @t293)) % 0.45/0.97 (define @t531 () (_ @t529 @t292)) % 0.45/0.97 (define @t532 () (@list @t528)) % 0.45/0.97 (define @t533 () (forall @t532 (=> @t531 @t530))) % 0.45/0.97 (define @t534 () (lambda @t294 @t533)) % 0.45/0.97 (define @t535 () (@var "T2" tptp.nat)) % 0.45/0.97 (define @t536 () (_ tptp.member_nat @t535)) % 0.45/0.97 (define @t537 () (lambda @t297 (forall (@list @t535) (=> (_ @t536 @t295) (_ @t536 @t296))))) % 0.45/0.97 (define @t538 () (@var "C4" (-> tptp.product_prod_nat_nat tptp.a))) % 0.45/0.97 (define @t539 () (lambda (@list @t538) (_ tptp.finite_finite_nat (_ tptp.v_a @t538)))) % 0.45/0.97 (define @t540 () (lambda (@list @t115 @t116) (= @t431 @t115))) % 0.45/0.97 (define @t541 () (@var "M3" tptp.nat)) % 0.45/0.97 (define @t542 () (@var "N2" tptp.set_nat)) % 0.45/0.97 (define @t543 () (lambda (@list @t542) (exists (@list @t541) (forall @t278 (=> (_ @t277 @t542) (_ @t192 @t541)))))) % 0.45/0.97 (define @t544 () (tptp.e_a tptp.c)) % 0.45/0.97 (define @t545 () (tptp.member701585322at_nat @t48 @t544)) % 0.45/0.97 (define @t546 () (tptp.set_Pr2131844118at_nat @t51)) % 0.45/0.97 (define @t547 () (tptp.member701585322at_nat @t48 @t546)) % 0.45/0.97 (define @t548 () (not @t53)) % 0.45/0.97 (define @t549 () (tptp.isPath_a tptp.c @t11 @t51 @t55)) % 0.45/0.97 (define @t550 () (not @t58)) % 0.45/0.97 (define @t551 () (or @t550 @t548 @t50)) % 0.45/0.97 (define @t552 () (tptp.isShortestPath_a tptp.c @t11 @t51 @t55)) % 0.45/0.97 (define @t553 () (not @t61)) % 0.45/0.97 (define @t554 () (or @t553 @t58)) % 0.45/0.97 (define @t555 () (tptp.isShortestPath_a tptp.c tptp.s tptp.p tptp.t)) % 0.45/0.97 (define @t556 () (tptp.isPath_a tptp.c tptp.s tptp.p tptp.t)) % 0.45/0.97 (define @t557 () (not @t555)) % 0.45/0.97 (define @t558 () (or @t557 @t556)) % 0.45/0.97 (define @t559 () (@list false false)) % 0.45/0.97 (define @t560 () (tptp.set_Pr2131844118at_nat tptp.p)) % 0.45/0.97 (define @t561 () (tptp.member701585322at_nat @t528 @t3)) % 0.45/0.97 (define @t562 () (not (tptp.member701585322at_nat @t528 tptp.edges))) % 0.45/0.97 (define @t563 () (or @t562 @t561)) % 0.45/0.97 (define @t564 () (forall @t532 @t563)) % 0.45/0.97 (define @t565 () (tptp.member701585322at_nat @t528 @t293)) % 0.45/0.97 (define @t566 () (lambda (@list @t293) (forall @t532 (or @t562 @t565)))) % 0.45/0.97 (define @t567 () (tptp.member701585322at_nat @t528 @t292)) % 0.45/0.97 (define @t568 () (_ (lambda @t294 (forall @t532 (or (not @t567) @t565))) tptp.edges)) % 0.45/0.97 (define @t569 () (not @t531)) % 0.45/0.97 (define @t570 () (or @t569 @t530)) % 0.45/0.97 (define @t571 () (@quantifiers_skolemize (forall @t532 (or @t562 (tptp.member701585322at_nat @t528 @t544))) 0)) % 0.45/0.97 (define @t572 () (tptp.member701585322at_nat @t528 @t5)) % 0.45/0.97 (define @t573 () (or @t562 @t572)) % 0.45/0.97 (define @t574 () (forall @t532 @t573)) % 0.45/0.97 (define @t575 () (tptp.member701585322at_nat @t571 tptp.edges)) % 0.45/0.97 (define @t576 () (tptp.member701585322at_nat @t571 @t544)) % 0.45/0.97 (define @t577 () (not @t575)) % 0.45/0.97 (define @t578 () (or @t577 @t576)) % 0.45/0.97 (define @t579 () (@list true)) % 0.45/0.97 (define @t580 () (@list @t578)) % 0.45/0.97 (define @t581 () (tptp.member701585322at_nat @t571 @t560)) % 0.45/0.97 (define @t582 () (or @t577 @t581)) % 0.45/0.97 (define @t583 () (not @t581)) % 0.45/0.97 (define @t584 () (not @t556)) % 0.45/0.97 (define @t585 () (or @t584 @t583 @t576)) % 0.45/0.97 (define @t586 () (not @t585)) % 0.45/0.97 (define @t587 () (forall @t59 (or (not @t549) (not @t547) @t545))) % 0.45/0.97 (assume @p1 @t2) % 0.45/0.97 (assume @p2 (_ @t4 @t3)) % 0.45/0.97 (assume @p3 (_ tptp.edmond1517640972ysis_a tptp.c)) % 0.45/0.97 (assume @p4 (forall @t8 (_ (_ tptp.ord_le841296385at_nat @t7) @t5))) % 0.45/0.97 (assume @p5 (forall @t8 (_ (_ tptp.ord_le841296385at_nat @t9) @t5))) % 0.45/0.97 (assume @p6 (_ (_ tptp.ord_le841296385at_nat @t5) @t10)) % 0.45/0.97 (assume @p7 (forall @t13 (_ (_ tptp.ord_le841296385at_nat @t12) @t5))) % 0.45/0.97 (assume @p8 (forall @t13 (_ (_ tptp.ord_le841296385at_nat @t14) @t5))) % 0.45/0.97 (assume @p9 @t15) % 0.45/0.97 (assume @p10 (forall @t24 (=> (forall @t23 (=> @t22 (_ @t21 @t16))) @t19))) % 0.45/0.97 (assume @p11 (forall @t33 (=> (forall @t32 (=> @t31 (_ @t30 @t25))) @t28))) % 0.45/0.97 (assume @p12 (forall @t24 (=> @t19 (=> @t36 @t34)))) % 0.45/0.97 (assume @p13 (forall @t33 (=> @t28 (=> @t39 @t37)))) % 0.45/0.97 (assume @p14 (forall (@list @t40) (_ @t41 @t40))) % 0.45/0.97 (assume @p15 (forall (@list @t42) (_ @t43 @t42))) % 0.45/0.97 (assume @p16 (forall (@list @t44) (_ @t45 @t44))) % 0.45/0.97 (assume @p17 (_ (_ tptp.member_nat tptp.s) @t46)) % 0.45/0.97 (assume @p18 (_ (_ tptp.ord_le841296385at_nat @t47) @t5)) % 0.45/0.97 (assume @p19 @t60) % 0.45/0.97 (assume @p20 @t63) % 0.45/0.97 (assume @p21 (forall @t13 (_ (_ tptp.ord_less_eq_set_nat @t64) @t46))) % 0.45/0.97 (assume @p22 (= tptp.edmond1517640972ysis_a tptp.finite_Graph_a)) % 0.45/0.97 (assume @p23 (forall @t68 (=> @t67 @t66))) % 0.45/0.97 (assume @p24 (forall @t68 (=> @t66 @t67))) % 0.45/0.97 (assume @p25 (= tptp.edmond475474835dges_a tptp.edmond475474835dges_a)) % 0.45/0.97 (assume @p26 (= tptp.edmond771116670s_uE_a tptp.edmond771116670s_uE_a)) % 0.45/0.97 (assume @p27 (forall @t73 (=> @t66 (_ (_ tptp.ord_le841296385at_nat @t72) @t69)))) % 0.45/0.97 (assume @p28 (forall @t68 (=> @t66 (_ (_ tptp.ord_le841296385at_nat @t69) @t74)))) % 0.45/0.97 (assume @p29 (forall @t82 (=> @t81 (=> @t79 @t77)))) % 0.45/0.97 (assume @p30 (forall @t90 (=> @t89 (=> @t87 @t85)))) % 0.45/0.97 (assume @p31 (forall @t98 (=> @t97 (=> @t95 @t93)))) % 0.45/0.97 (assume @p32 (= @t106 (lambda @t103 (and @t102 @t101)))) % 0.45/0.97 (assume @p33 (= @t114 (lambda @t111 (and @t110 @t109)))) % 0.45/0.97 (assume @p34 (= @t122 (lambda @t119 (and @t118 @t117)))) % 0.45/0.97 (assume @p35 (forall (@list @t75 @t76 @t123) (=> @t81 (=> (_ @t124 @t75) (_ @t124 @t76))))) % 0.45/0.97 (assume @p36 (forall (@list @t83 @t84 @t125) (=> @t89 (=> (_ @t126 @t83) (_ @t126 @t84))))) % 0.45/0.97 (assume @p37 (forall (@list @t91 @t92 @t127) (=> @t97 (=> (_ @t128 @t91) (_ @t128 @t92))))) % 0.45/0.97 (assume @p38 (forall (@list @t129 @t92 @t91) (=> (forall @t133 (=> (_ (_ tptp.ord_less_eq_nat @t131) @t130) @t132)) (=> (forall @t133 (=> (_ (_ @t129 @t130) @t131) @t132)) (_ (_ @t129 @t92) @t91))))) % 0.45/0.97 (assume @p39 (forall (@list @t76) (_ @t78 @t76))) % 0.45/0.97 (assume @p40 (forall (@list @t84) (_ @t86 @t84))) % 0.45/0.97 (assume @p41 (forall (@list @t92) (_ @t94 @t92))) % 0.45/0.97 (assume @p42 (forall @t139 (=> @t138 (=> (_ @t137 @t134) @t135)))) % 0.45/0.97 (assume @p43 (forall @t145 (=> @t144 (=> (_ @t143 @t140) @t141)))) % 0.45/0.97 (assume @p44 (forall @t152 (=> @t151 (=> @t150 @t147)))) % 0.45/0.97 (assume @p45 (forall @t153 (=> @t79 (=> @t81 @t77)))) % 0.45/0.97 (assume @p46 (forall @t154 (=> @t87 (=> @t89 @t85)))) % 0.45/0.97 (assume @p47 (forall @t155 (=> @t95 (=> @t97 @t93)))) % 0.45/0.97 (assume @p48 (forall @t157 (=> @t79 (=> (= @t75 @t123) @t156)))) % 0.45/0.97 (assume @p49 (forall @t159 (=> @t87 (=> (= @t83 @t125) @t158)))) % 0.45/0.97 (assume @p50 (forall @t161 (=> @t95 (=> (= @t91 @t127) @t160)))) % 0.45/0.97 (assume @p51 (forall @t157 (=> @t77 @t163))) % 0.45/0.97 (assume @p52 (forall @t159 (=> @t85 @t165))) % 0.45/0.97 (assume @p53 (forall @t161 (=> @t93 @t167))) % 0.45/0.97 (assume @p54 (= @t106 (lambda @t103 (and @t101 @t102)))) % 0.45/0.97 (assume @p55 (= @t114 (lambda @t111 (and @t109 @t110)))) % 0.45/0.97 (assume @p56 (= @t122 (lambda @t119 (and @t117 @t118)))) % 0.45/0.97 (assume @p57 (forall @t170 (=> @t169 (= @t138 @t168)))) % 0.45/0.97 (assume @p58 (forall @t173 (=> @t172 (= @t144 @t171)))) % 0.45/0.97 (assume @p59 (forall @t176 (=> @t175 (= @t151 @t174)))) % 0.45/0.97 (assume @p60 (forall @t152 (=> (=> @t151 (not @t150)) (=> (=> @t175 (not @t147)) (=> (=> @t147 (not @t180)) (=> (=> @t180 (not @t175)) (=> (=> @t150 (not @t179)) (not (=> @t179 @t177))))))))) % 0.45/0.97 (assume @p61 (forall @t157 (=> @t79 @t163))) % 0.45/0.97 (assume @p62 (forall @t159 (=> @t87 @t165))) % 0.45/0.97 (assume @p63 (forall @t161 (=> @t95 @t167))) % 0.45/0.97 (assume @p64 (forall @t181 (=> @t177 @t175))) % 0.45/0.97 (assume @p65 (forall @t182 (=> @t168 @t138))) % 0.45/0.97 (assume @p66 (forall @t183 (=> @t171 @t144))) % 0.45/0.97 (assume @p67 (forall @t181 (=> @t174 @t151))) % 0.45/0.97 (assume @p68 (forall @t181 (or @t151 @t175))) % 0.45/0.97 (assume @p69 (forall @t182 (=> @t138 (=> @t169 @t168)))) % 0.45/0.97 (assume @p70 (forall @t183 (=> @t144 (=> @t172 @t171)))) % 0.45/0.97 (assume @p71 (forall @t181 (=> @t151 (=> @t175 @t174)))) % 0.45/0.97 (assume @p72 (= @t106 (lambda @t186 (and (_ (_ tptp.ord_le841296385at_nat @t184) @t185) (_ (_ tptp.ord_le841296385at_nat @t185) @t184))))) % 0.45/0.97 (assume @p73 (= @t114 (lambda @t189 (and (_ (_ tptp.ord_less_eq_set_nat @t187) @t188) (_ (_ tptp.ord_less_eq_set_nat @t188) @t187))))) % 0.45/0.97 (assume @p74 (= @t122 (lambda @t193 (and (_ @t192 @t191) (_ (_ tptp.ord_less_eq_nat @t191) @t190))))) % 0.45/0.97 (assume @p75 (forall @t203 (=> @t79 (=> (= @t202 @t123) @t201)))) % 0.45/0.97 (assume @p76 (forall @t208 (=> @t79 (=> (= @t207 @t125) @t206)))) % 0.45/0.97 (assume @p77 (forall @t213 (=> @t79 (=> (= @t212 @t127) @t211)))) % 0.45/0.97 (assume @p78 (forall @t223 (=> @t87 (=> (= @t222 @t123) @t221)))) % 0.45/0.97 (assume @p79 (forall @t228 (=> @t87 (=> (= @t227 @t125) @t226)))) % 0.45/0.97 (assume @p80 (forall @t233 (=> @t87 (=> (= @t232 @t127) @t231)))) % 0.45/0.97 (assume @p81 (forall @t242 (=> @t95 (=> (= @t241 @t123) @t240)))) % 0.45/0.97 (assume @p82 (forall @t247 (=> @t95 (=> (= @t246 @t125) @t245)))) % 0.45/0.97 (assume @p83 (forall @t252 (=> @t95 (=> (= @t251 @t127) @t250)))) % 0.45/0.97 (assume @p84 (forall @t254 (=> (= @t76 @t202) @t253))) % 0.45/0.97 (assume @p85 (forall @t256 (=> (= @t84 @t207) @t255))) % 0.45/0.97 (assume @p86 (forall @t258 (=> (= @t92 @t212) @t257))) % 0.45/0.97 (assume @p87 (forall @t260 (=> (= @t76 @t222) @t259))) % 0.45/0.97 (assume @p88 (forall @t262 (=> (= @t84 @t227) @t261))) % 0.45/0.97 (assume @p89 (forall @t264 (=> (= @t92 @t232) @t263))) % 0.45/0.97 (assume @p90 (forall @t266 (=> (= @t76 @t241) @t265))) % 0.45/0.97 (assume @p91 (forall @t268 (=> (= @t84 @t246) @t267))) % 0.45/0.97 (assume @p92 (forall @t270 (=> (= @t92 @t251) @t269))) % 0.45/0.97 (assume @p93 (forall @t203 (=> @t79 (=> (_ (_ tptp.ord_le841296385at_nat @t202) @t123) @t201)))) % 0.45/0.97 (assume @p94 (forall @t208 (=> @t79 (=> (_ (_ tptp.ord_less_eq_set_nat @t207) @t125) @t206)))) % 0.45/0.97 (assume @p95 (forall @t213 (=> @t79 (=> (_ (_ tptp.ord_less_eq_nat @t212) @t127) @t211)))) % 0.45/0.97 (assume @p96 (forall @t223 (=> @t87 (=> (_ (_ tptp.ord_le841296385at_nat @t222) @t123) @t221)))) % 0.45/0.97 (assume @p97 (forall @t228 (=> @t87 (=> (_ (_ tptp.ord_less_eq_set_nat @t227) @t125) @t226)))) % 0.45/0.97 (assume @p98 (forall @t233 (=> @t87 (=> (_ (_ tptp.ord_less_eq_nat @t232) @t127) @t231)))) % 0.45/0.97 (assume @p99 (forall @t242 (=> @t95 (=> (_ (_ tptp.ord_le841296385at_nat @t241) @t123) @t240)))) % 0.45/0.97 (assume @p100 (forall @t247 (=> @t95 (=> (_ (_ tptp.ord_less_eq_set_nat @t246) @t125) @t245)))) % 0.45/0.97 (assume @p101 (forall @t252 (=> @t95 (=> (_ (_ tptp.ord_less_eq_nat @t251) @t127) @t250)))) % 0.45/0.97 (assume @p102 (forall (@list @t92 @t271) (= (_ @t273 @t272) (_ @t271 @t92)))) % 0.45/0.97 (assume @p103 (forall (@list @t274 @t275) (= (_ (_ tptp.member701585322at_nat @t274) @t276) (_ @t275 @t274)))) % 0.45/0.97 (assume @p104 (forall @t279 (= (_ tptp.collect_nat (lambda @t278 (_ @t277 @t26))) @t26))) % 0.45/0.97 (assume @p105 (forall @t283 (= (_ tptp.collec7649004at_nat (lambda @t282 (_ @t281 @t17))) @t17))) % 0.45/0.97 (assume @p106 (forall @t254 (=> (_ @t78 @t202) @t253))) % 0.45/0.97 (assume @p107 (forall @t260 (=> (_ @t78 @t222) @t259))) % 0.45/0.97 (assume @p108 (forall @t266 (=> (_ @t78 @t241) @t265))) % 0.45/0.97 (assume @p109 (forall @t256 (=> (_ @t86 @t207) @t255))) % 0.45/0.97 (assume @p110 (forall @t262 (=> (_ @t86 @t227) @t261))) % 0.45/0.97 (assume @p111 (forall @t268 (=> (_ @t86 @t246) @t267))) % 0.45/0.97 (assume @p112 (forall @t258 (=> (_ @t94 @t212) @t257))) % 0.45/0.97 (assume @p113 (forall @t264 (=> (_ @t94 @t232) @t263))) % 0.45/0.97 (assume @p114 (forall @t270 (=> (_ @t94 @t251) @t269))) % 0.45/0.97 (assume @p115 (forall @t287 (= @t286 (forall @t282 (=> (_ @t275 @t280) (_ @t284 @t280)))))) % 0.45/0.97 (assume @p116 (forall @t291 (= @t290 (forall @t278 (=> (_ @t271 @t190) (_ @t288 @t190)))))) % 0.45/0.97 (assume @p117 (= @t106 (lambda @t294 (and (_ (_ tptp.ord_le841296385at_nat @t292) @t293) (_ (_ tptp.ord_le841296385at_nat @t293) @t292))))) % 0.45/0.97 (assume @p118 (= @t114 (lambda @t297 (and (_ (_ tptp.ord_less_eq_set_nat @t295) @t296) (_ (_ tptp.ord_less_eq_set_nat @t296) @t295))))) % 0.45/0.97 (assume @p119 (forall (@list @t17 @t16 @t298) (=> @t19 (=> (_ @t35 @t298) @t299)))) % 0.45/0.97 (assume @p120 (forall (@list @t26 @t25 @t300) (=> @t28 (=> (_ @t38 @t300) @t301)))) % 0.45/0.97 (assume @p121 (forall @t287 (=> (forall @t23 @t302) @t286))) % 0.45/0.97 (assume @p122 (forall @t291 (=> (forall @t32 @t304) @t290))) % 0.45/0.97 (assume @p123 (forall @t283 (_ @t18 @t17))) % 0.45/0.97 (assume @p124 (forall @t279 (_ @t27 @t26))) % 0.45/0.97 (assume @p125 (forall @t24 (=> @t34 @t36))) % 0.45/0.97 (assume @p126 (forall @t33 (=> @t37 @t39))) % 0.45/0.97 (assume @p127 (forall @t24 (=> @t34 @t19))) % 0.45/0.97 (assume @p128 (forall @t33 (=> @t37 @t28))) % 0.45/0.97 (assume @p129 (= tptp.ord_le841296385at_nat (lambda @t294 (forall @t282 (=> (_ @t281 @t292) (_ @t281 @t293)))))) % 0.45/0.97 (assume @p130 (= tptp.ord_less_eq_set_nat (lambda @t297 (forall @t278 (=> (_ @t277 @t295) (_ @t277 @t296)))))) % 0.45/0.97 (assume @p131 (forall @t24 (=> @t34 (not (=> @t19 (not @t36)))))) % 0.45/0.97 (assume @p132 (forall @t33 (=> @t37 (not (=> @t28 (not @t39)))))) % 0.45/0.97 (assume @p133 (forall (@list @t17 @t16 @t305) (=> @t19 (=> @t308 @t307)))) % 0.45/0.97 (assume @p134 (forall (@list @t26 @t25 @t127) (=> @t28 (=> @t311 @t310)))) % 0.45/0.97 (assume @p135 (forall (@list @t17 @t16 @t312) (=> @t19 (=> (_ @t313 @t17) (_ @t313 @t16))))) % 0.45/0.97 (assume @p136 (forall (@list @t26 @t25 @t44) (=> @t28 (=> (_ @t314 @t26) (_ @t314 @t25))))) % 0.45/0.97 (assume @p137 (forall (@list @t71) (=> (_ @t316 @t46) (_ (_ tptp.ord_less_eq_set_nat @t315) @t46)))) % 0.45/0.97 (assume @p138 (forall (@list @t51 @t317 @t11 @t55) (=> (_ (_ tptp.ord_le841296385at_nat (_ @t320 @t5)) @t319) (=> @t58 @t318)))) % 0.45/0.97 (assume @p139 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite447719721at_nat @t47)) (_ tptp.finite447719721at_nat @t10))) % 0.45/0.97 (assume @p140 (=> @t321 @t15)) % 0.45/0.97 (assume @p141 (forall @t323 (_ (_ tptp.ord_le841296385at_nat @t322) @t69))) % 0.45/0.97 (assume @p142 (forall @t323 (_ (_ tptp.ord_le841296385at_nat @t324) @t69))) % 0.45/0.97 (assume @p143 (forall @t326 (_ (_ tptp.ord_le841296385at_nat @t325) @t69))) % 0.45/0.97 (assume @p144 (forall @t326 (_ (_ tptp.ord_le841296385at_nat @t327) @t69))) % 0.45/0.97 (assume @p145 (forall (@list @t65 @t11 @t51 @t55 @t48) (=> @t328 (=> @t53 (_ @t49 @t69))))) % 0.45/0.97 (assume @p146 (forall @t334 (=> @t58 @t333))) % 0.45/0.97 (assume @p147 (forall @t338 (=> @t311 (=> @t310 @t337)))) % 0.45/0.97 (assume @p148 (forall @t342 (=> @t308 (=> @t307 @t341)))) % 0.45/0.97 (assume @p149 (forall @t338 (= @t337 (and @t311 @t310)))) % 0.45/0.97 (assume @p150 (forall @t342 (= @t341 (and @t308 @t307)))) % 0.45/0.97 (assume @p151 (forall @t334 (=> @t58 @t344))) % 0.45/0.97 (assume @p152 (forall (@list @t11 @t71 @t55) (=> (_ @t347 @t315) (=> (_ @t346 @t5) (_ @t345 @t315))))) % 0.45/0.97 (assume @p153 (forall @t352 (= @t351 (and @t350 @t349)))) % 0.45/0.97 (assume @p154 (forall @t357 (= @t356 (and @t355 @t354)))) % 0.45/0.97 (assume @p155 @t321) % 0.45/0.97 (assume @p156 (_ tptp.finite772653738at_nat @t10)) % 0.45/0.97 (assume @p157 (_ tptp.finite772653738at_nat @t47)) % 0.45/0.97 (assume @p158 (forall @t338 (=> @t337 (not (=> @t311 (not @t310)))))) % 0.45/0.97 (assume @p159 (forall @t342 (=> @t341 (not (=> @t308 (not @t307)))))) % 0.45/0.97 (assume @p160 (forall @t338 (=> @t337 @t311))) % 0.45/0.97 (assume @p161 (forall @t342 (=> @t341 @t308))) % 0.45/0.97 (assume @p162 (forall @t338 (=> @t337 @t310))) % 0.45/0.97 (assume @p163 (forall @t342 (=> @t341 @t307))) % 0.45/0.97 (assume @p164 (forall (@list @t11 @t65 @t71 @t55) (=> (_ @t347 @t358) (=> (_ @t346 @t69) (_ @t345 @t358))))) % 0.45/0.97 (assume @p165 (= tptp.reachableNodes_a tptp.reachableNodes_a)) % 0.45/0.97 (assume @p166 (= tptp.adjacent_nodes_a tptp.adjacent_nodes_a)) % 0.45/0.97 (assume @p167 (forall (@list @t71 @t65) (=> (_ @t316 @t359) (_ (_ tptp.ord_less_eq_set_nat @t358) @t359)))) % 0.45/0.97 (assume @p168 (forall (@list @t17 @t298 @t16 @t360) (=> @t299 (=> (_ @t35 @t360) (_ @t361 (_ (_ tptp.inf_in586391887at_nat @t298) @t360)))))) % 0.45/0.97 (assume @p169 (forall (@list @t26 @t300 @t25 @t362) (=> @t301 (=> (_ @t38 @t362) (_ @t363 (_ (_ tptp.inf_inf_set_nat @t300) @t362)))))) % 0.45/0.97 (assume @p170 (forall @t24 (_ @t361 @t17))) % 0.45/0.97 (assume @p171 (forall @t33 (_ @t363 @t26))) % 0.45/0.97 (assume @p172 (forall @t24 (_ @t361 @t16))) % 0.45/0.97 (assume @p173 (forall @t33 (_ @t363 @t25))) % 0.45/0.97 (assume @p174 (forall @t364 (=> @t36 (= @t340 @t16)))) % 0.45/0.97 (assume @p175 (forall @t365 (=> @t39 (= @t336 @t25)))) % 0.45/0.97 (assume @p176 (forall @t24 (=> @t19 (= @t340 @t17)))) % 0.45/0.97 (assume @p177 (forall @t33 (=> @t28 (= @t336 @t26)))) % 0.45/0.97 (assume @p178 (forall @t352 (=> @t350 (=> @t349 @t351)))) % 0.45/0.97 (assume @p179 (forall @t357 (=> @t355 (=> @t354 @t356)))) % 0.45/0.97 (assume @p180 (forall (@list @t17 @t16 @t275 @t284) (=> @t19 (=> (forall @t23 (=> @t22 @t302)) (_ (_ tptp.ord_le841296385at_nat (_ @t339 @t276)) (_ (_ tptp.inf_in586391887at_nat @t16) @t285)))))) % 0.45/0.97 (assume @p181 (forall (@list @t26 @t25 @t271 @t288) (=> @t28 (=> (forall @t32 (=> @t31 @t304)) (_ (_ tptp.ord_less_eq_set_nat (_ @t335 @t272)) (_ (_ tptp.inf_inf_set_nat @t25) @t289)))))) % 0.45/0.97 (assume @p182 (forall @t326 (_ (_ tptp.ord_less_eq_set_nat @t366) @t359))) % 0.45/0.97 (assume @p183 (forall @t367 (=> @t328 @t333))) % 0.45/0.97 (assume @p184 (forall @t367 (=> @t328 @t344))) % 0.45/0.97 (assume @p185 (forall @t68 (=> @t368 @t67))) % 0.45/0.97 (assume @p186 (forall @t68 (=> @t67 @t368))) % 0.45/0.97 (assume @p187 (forall @t73 (=> @t66 (_ tptp.finite772653738at_nat @t72)))) % 0.45/0.97 (assume @p188 (forall @t68 (=> @t66 (_ tptp.finite772653738at_nat @t74)))) % 0.45/0.97 (assume @p189 (forall (@list @t51 @t65 @t317 @t11 @t55) (=> (_ (_ tptp.ord_le841296385at_nat (_ @t320 @t69)) @t319) (=> @t328 @t318)))) % 0.45/0.97 (assume @p190 (= tptp.e_a tptp.e_a)) % 0.45/0.97 (assume @p191 (= tptp.isPath_a tptp.isPath_a)) % 0.45/0.97 (assume @p192 (= tptp.v_a tptp.v_a)) % 0.45/0.97 (assume @p193 (forall @t73 (=> @t66 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite447719721at_nat @t72)) (_ tptp.finite447719721at_nat @t74))))) % 0.45/0.97 (assume @p194 (= tptp.isShortestPath_a tptp.isShortestPath_a)) % 0.45/0.97 (assume @p195 (= tptp.outgoing_a tptp.outgoing_a)) % 0.45/0.97 (assume @p196 (= tptp.incoming_a tptp.incoming_a)) % 0.45/0.97 (assume @p197 (= tptp.outgoing_a2 tptp.outgoing_a2)) % 0.45/0.97 (assume @p198 (= tptp.incoming_a2 tptp.incoming_a2)) % 0.45/0.97 (assume @p199 (forall (@list @t65 @t11 @t51 @t55) (=> (_ (_ (_ (_ tptp.isShortestPath_a @t65) @t11) @t51) @t55) @t328))) % 0.45/0.97 (assume @p200 (forall (@list @t370 @t369) (=> (or @t371 (_ tptp.finite772653738at_nat @t369)) (_ tptp.finite772653738at_nat (_ (_ tptp.inf_in586391887at_nat @t370) @t369))))) % 0.45/0.97 (assume @p201 (forall (@list @t373 @t372) (=> (or @t374 (_ tptp.finite_finite_nat @t372)) (_ tptp.finite_finite_nat (_ (_ tptp.inf_inf_set_nat @t373) @t372))))) % 0.45/0.97 (assume @p202 (forall (@list @t375) (_ tptp.finite772653738at_nat @t376))) % 0.45/0.97 (assume @p203 (forall (@list @t377) (_ tptp.finite_finite_nat @t378))) % 0.45/0.97 (assume @p204 (forall @t139 (= @t379 (and @t138 @t135)))) % 0.45/0.97 (assume @p205 (forall @t145 (= @t380 (and @t144 @t141)))) % 0.45/0.97 (assume @p206 (forall @t152 (= @t381 (and @t151 @t147)))) % 0.45/0.97 (assume @p207 (forall @t157 (= @t382 (and @t79 @t156)))) % 0.45/0.97 (assume @p208 (forall @t159 (= @t383 (and @t87 @t158)))) % 0.45/0.97 (assume @p209 (forall @t161 (= @t384 (and @t95 @t160)))) % 0.45/0.97 (assume @p210 (forall @t364 (=> @t387 (=> @t19 (_ (_ tptp.ord_less_eq_nat @t386) @t385))))) % 0.45/0.97 (assume @p211 (forall @t365 (=> @t390 (=> @t28 (_ (_ tptp.ord_less_eq_nat @t389) @t388))))) % 0.45/0.97 (assume @p212 (forall @t364 (=> @t387 (=> @t19 (=> (_ (_ tptp.ord_less_eq_nat @t385) @t386) @t34))))) % 0.45/0.97 (assume @p213 (forall @t365 (=> @t390 (=> @t28 (=> (_ (_ tptp.ord_less_eq_nat @t388) @t389) @t37))))) % 0.45/0.97 (assume @p214 (=> @t321 @t391)) % 0.45/0.97 (assume @p215 @t391) % 0.45/0.97 (assume @p216 (forall @t13 (_ tptp.finite_finite_nat @t64))) % 0.45/0.97 (assume @p217 (=> @t391 @t321)) % 0.45/0.97 (assume @p218 (forall @t13 (=> @t391 (_ tptp.finite772653738at_nat @t12)))) % 0.45/0.97 (assume @p219 (forall @t13 (=> @t391 (_ tptp.finite772653738at_nat @t14)))) % 0.45/0.97 (assume @p220 (forall @t8 (=> @t391 (_ tptp.finite772653738at_nat @t7)))) % 0.45/0.97 (assume @p221 (forall @t8 (=> @t391 (_ tptp.finite772653738at_nat @t9)))) % 0.45/0.97 (assume @p222 (forall @t68 (=> @t392 @t67))) % 0.45/0.97 (assume @p223 (forall @t68 (=> @t67 @t392))) % 0.45/0.97 (assume @p224 (forall @t326 (=> @t67 (_ tptp.finite_finite_nat @t366)))) % 0.45/0.97 (assume @p225 (forall @t68 (=> @t368 @t392))) % 0.45/0.97 (assume @p226 (forall @t68 (=> @t392 @t368))) % 0.45/0.97 (assume @p227 (forall @t326 (=> @t392 (_ tptp.finite772653738at_nat @t327)))) % 0.45/0.97 (assume @p228 (forall @t326 (=> @t392 (_ tptp.finite772653738at_nat @t325)))) % 0.45/0.97 (assume @p229 (forall @t323 (=> @t392 (_ tptp.finite772653738at_nat @t324)))) % 0.45/0.97 (assume @p230 (forall @t323 (=> @t392 (_ tptp.finite772653738at_nat @t322)))) % 0.45/0.97 (assume @p231 (forall @t402 (=> @t401 (=> @t400 (exists @t399 (and @t398 (_ @t197 @t76) (forall @t397 (=> @t396 (=> (_ (_ tptp.ord_le841296385at_nat @t393) @t196) @t394))))))))) % 0.45/0.97 (assume @p232 (forall @t412 (=> @t411 (=> @t410 (exists @t409 (and @t408 (_ @t217 @t84) (forall @t407 (=> @t406 (=> (_ (_ tptp.ord_less_eq_set_nat @t403) @t216) @t404))))))))) % 0.45/0.97 (assume @p233 (forall @t419 (=> @t418 (=> @t417 (exists @t32 (and @t31 (_ @t236 @t92) (forall @t416 (=> @t415 (=> (_ (_ tptp.ord_less_eq_nat @t413) @t29) @t414))))))))) % 0.45/0.97 (assume @p234 (forall @t402 (=> @t401 (=> @t400 (exists @t399 (and @t398 (_ @t78 @t196) (forall @t397 (=> @t396 (=> (_ @t197 @t393) @t394))))))))) % 0.45/0.97 (assume @p235 (forall @t412 (=> @t411 (=> @t410 (exists @t409 (and @t408 (_ @t86 @t216) (forall @t407 (=> @t406 (=> (_ @t217 @t403) @t404))))))))) % 0.45/0.97 (assume @p236 (forall @t419 (=> @t418 (=> @t417 (exists @t32 (and @t31 (_ @t94 @t29) (forall @t416 (=> @t415 (=> (_ @t236 @t413) @t414))))))))) % 0.45/0.97 (assume @p237 (forall (@list @t75 @t123 @t76) (=> @t162 @t422))) % 0.45/0.97 (assume @p238 (forall (@list @t83 @t125 @t84) (=> @t164 @t425))) % 0.45/0.97 (assume @p239 (forall (@list @t91 @t127 @t92) (=> @t166 @t428))) % 0.45/0.97 (assume @p240 (forall (@list @t76 @t123 @t75) (=> @t156 @t422))) % 0.45/0.97 (assume @p241 (forall (@list @t84 @t125 @t83) (=> @t158 @t425))) % 0.45/0.97 (assume @p242 (forall (@list @t92 @t127 @t91) (=> @t160 @t428))) % 0.45/0.97 (assume @p243 (= tptp.ord_le841296385at_nat (lambda (@list @t99 @t100) (= @t429 @t99)))) % 0.45/0.97 (assume @p244 (= tptp.ord_less_eq_set_nat (lambda (@list @t107 @t108) (= @t430 @t107)))) % 0.45/0.97 (assume @p245 (= tptp.ord_le841296385at_nat (lambda @t103 (= @t429 @t100)))) % 0.45/0.97 (assume @p246 (= tptp.ord_less_eq_set_nat (lambda @t111 (= @t430 @t108)))) % 0.45/0.97 (assume @p247 (= tptp.ord_less_eq_nat (lambda @t119 (= @t431 @t116)))) % 0.45/0.97 (assume @p248 (forall @t153 (_ @t421 @t75))) % 0.45/0.97 (assume @p249 (forall @t154 (_ @t424 @t83))) % 0.45/0.97 (assume @p250 (forall @t155 (_ @t427 @t91))) % 0.45/0.97 (assume @p251 (forall @t153 (_ @t421 @t76))) % 0.45/0.97 (assume @p252 (forall @t154 (_ @t424 @t84))) % 0.45/0.97 (assume @p253 (forall @t155 (_ @t427 @t92))) % 0.45/0.97 (assume @p254 (= tptp.ord_le841296385at_nat (lambda @t103 (= @t100 @t429)))) % 0.45/0.97 (assume @p255 (= tptp.ord_less_eq_set_nat (lambda @t111 (= @t108 @t430)))) % 0.45/0.97 (assume @p256 (= tptp.ord_less_eq_nat (lambda @t119 (= @t116 @t431)))) % 0.45/0.97 (assume @p257 (forall @t139 (=> @t138 (=> @t135 @t379)))) % 0.45/0.97 (assume @p258 (forall @t145 (=> @t144 (=> @t141 @t380)))) % 0.45/0.97 (assume @p259 (forall @t152 (=> @t151 (=> @t147 @t381)))) % 0.45/0.97 (assume @p260 (forall @t157 (=> @t79 (=> @t156 @t382)))) % 0.45/0.97 (assume @p261 (forall @t159 (=> @t87 (=> @t158 @t383)))) % 0.45/0.97 (assume @p262 (forall @t161 (=> @t95 (=> @t160 @t384)))) % 0.45/0.97 (assume @p263 (forall @t157 (=> @t382 (not (=> @t79 (not @t156)))))) % 0.45/0.97 (assume @p264 (forall @t159 (=> @t383 (not (=> @t87 (not @t158)))))) % 0.45/0.97 (assume @p265 (forall @t161 (=> @t384 (not (=> @t95 (not @t160)))))) % 0.45/0.97 (assume @p266 (forall @t170 (=> @t169 (= @t432 @t136)))) % 0.45/0.97 (assume @p267 (forall @t173 (=> @t172 (= @t433 @t142)))) % 0.45/0.97 (assume @p268 (forall @t176 (=> @t175 (= @t434 @t148)))) % 0.45/0.97 (assume @p269 (forall @t182 (=> @t138 (= @t432 @t40)))) % 0.45/0.97 (assume @p270 (forall @t183 (=> @t144 (= @t433 @t42)))) % 0.45/0.97 (assume @p271 (forall @t181 (=> @t151 (= @t434 @t44)))) % 0.45/0.97 (assume @p272 (forall @t82 (=> @t81 (= @t420 @t75)))) % 0.45/0.97 (assume @p273 (forall @t90 (=> @t89 (= @t423 @t83)))) % 0.45/0.97 (assume @p274 (forall @t98 (=> @t97 (= @t426 @t91)))) % 0.45/0.97 (assume @p275 (forall @t153 (=> @t79 (= @t420 @t76)))) % 0.45/0.97 (assume @p276 (forall @t154 (=> @t87 (= @t423 @t84)))) % 0.45/0.97 (assume @p277 (forall @t155 (=> @t95 (= @t426 @t92)))) % 0.45/0.97 (assume @p278 (= tptp.ord_le841296385at_nat (lambda @t186 (= (_ (_ tptp.inf_in586391887at_nat @t184) @t185) @t184)))) % 0.45/0.97 (assume @p279 (= tptp.ord_less_eq_set_nat (lambda @t189 (= (_ (_ tptp.inf_inf_set_nat @t187) @t188) @t187)))) % 0.45/0.97 (assume @p280 (= tptp.ord_less_eq_nat (lambda @t193 (= (_ (_ tptp.inf_inf_nat @t190) @t191) @t190)))) % 0.45/0.97 (assume @p281 (forall (@list @t435 @t40 @t136) (=> (forall @t199 (_ @t437 @t196)) (=> (forall @t199 (_ @t437 @t195)) (=> (forall (@list @t196 @t195 @t436) (=> @t198 (=> (_ @t197 @t436) (_ @t197 (_ (_ @t435 @t195) @t436))))) (= @t432 (_ (_ @t435 @t40) @t136))))))) % 0.45/0.97 (assume @p282 (forall (@list @t438 @t42 @t142) (=> (forall @t219 (_ @t440 @t216)) (=> (forall @t219 (_ @t440 @t215)) (=> (forall (@list @t216 @t215 @t439) (=> @t218 (=> (_ @t217 @t439) (_ @t217 (_ (_ @t438 @t215) @t439))))) (= @t433 (_ (_ @t438 @t42) @t142))))))) % 0.45/0.97 (assume @p283 (forall (@list @t441 @t44 @t148) (=> (forall @t238 (_ @t443 @t29)) (=> (forall @t238 (_ @t443 @t235)) (=> (forall (@list @t29 @t235 @t442) (=> @t237 (=> (_ @t236 @t442) (_ @t236 (_ (_ @t441 @t235) @t442))))) (= @t434 (_ (_ @t441 @t44) @t148))))))) % 0.45/0.97 (assume @p284 (forall @t153 (=> @t444 @t79))) % 0.45/0.97 (assume @p285 (forall @t154 (=> @t445 @t87))) % 0.45/0.97 (assume @p286 (forall @t155 (=> @t446 @t95))) % 0.45/0.97 (assume @p287 (forall @t153 (=> @t79 @t444))) % 0.45/0.97 (assume @p288 (forall @t154 (=> @t87 @t445))) % 0.45/0.97 (assume @p289 (forall @t155 (=> @t95 @t446))) % 0.45/0.97 (assume @p290 (forall (@list @t75 @t40 @t76) (=> (_ @t80 @t40) @t447))) % 0.45/0.97 (assume @p291 (forall (@list @t83 @t42 @t84) (=> (_ @t88 @t42) @t448))) % 0.45/0.97 (assume @p292 (forall (@list @t91 @t44 @t92) (=> (_ @t96 @t44) @t449))) % 0.45/0.97 (assume @p293 (forall (@list @t76 @t40 @t75) (=> (_ @t78 @t40) @t447))) % 0.45/0.97 (assume @p294 (forall (@list @t84 @t42 @t83) (=> (_ @t86 @t42) @t448))) % 0.45/0.97 (assume @p295 (forall (@list @t92 @t44 @t91) (=> (_ @t94 @t44) @t449))) % 0.45/0.97 (assume @p296 (forall (@list @t76 @t123 @t75 @t450) (=> @t156 (=> (_ @t80 @t450) (_ @t421 (_ (_ tptp.inf_in586391887at_nat @t123) @t450)))))) % 0.45/0.97 (assume @p297 (forall (@list @t84 @t125 @t83 @t451) (=> @t158 (=> (_ @t88 @t451) (_ @t424 (_ (_ tptp.inf_inf_set_nat @t125) @t451)))))) % 0.45/0.97 (assume @p298 (forall (@list @t92 @t127 @t91 @t452) (=> @t160 (=> (_ @t96 @t452) (_ @t427 (_ (_ tptp.inf_inf_nat @t127) @t452)))))) % 0.45/0.97 (assume @p299 (forall @t456 (=> @t455 (=> @t454 @t453)))) % 0.45/0.97 (assume @p300 (forall @t460 (=> @t459 (=> @t458 @t457)))) % 0.45/0.97 (assume @p301 (forall @t464 (=> @t463 (=> @t462 @t461)))) % 0.45/0.97 (assume @p302 (forall @t456 (=> @t453 (not (=> @t455 (not @t454)))))) % 0.45/0.97 (assume @p303 (forall @t460 (=> @t457 (not (=> @t459 (not @t458)))))) % 0.45/0.97 (assume @p304 (forall @t464 (=> @t461 (not (=> @t463 (not @t462)))))) % 0.45/0.97 (assume @p305 (forall @t182 (_ @t465 @t136))) % 0.45/0.97 (assume @p306 (forall @t183 (_ @t466 @t142))) % 0.45/0.97 (assume @p307 (forall @t181 (_ @t467 @t148))) % 0.45/0.97 (assume @p308 (forall @t182 (_ @t465 @t40))) % 0.45/0.97 (assume @p309 (forall @t183 (_ @t466 @t42))) % 0.45/0.97 (assume @p310 (forall @t181 (_ @t467 @t44))) % 0.45/0.97 (assume @p311 (forall @t364 (=> @t387 (=> @t19 @t468)))) % 0.45/0.97 (assume @p312 (forall @t365 (=> @t390 (=> @t28 @t418)))) % 0.45/0.97 (assume @p313 (forall (@list @t470 @t469) (=> (_ (_ tptp.ord_le841296385at_nat @t470) @t469) (=> (not (_ tptp.finite772653738at_nat @t470)) (not (_ tptp.finite772653738at_nat @t469)))))) % 0.45/0.97 (assume @p314 (forall (@list @t472 @t471) (=> (_ (_ tptp.ord_less_eq_set_nat @t472) @t471) (=> (not (_ tptp.finite_finite_nat @t472)) (not (_ tptp.finite_finite_nat @t471)))))) % 0.45/0.97 (assume @p315 (forall @t24 (=> @t19 (=> @t387 @t468)))) % 0.45/0.97 (assume @p316 (forall @t33 (=> @t28 (=> @t390 @t418)))) % 0.45/0.97 (assume @p317 (forall @t283 (=> @t468 (exists (@list @t473) (= (_ tptp.set_Pr2131844118at_nat @t473) @t17))))) % 0.45/0.97 (assume @p318 (forall @t279 (=> @t418 (exists (@list @t474) (= (_ tptp.set_nat2 @t474) @t26))))) % 0.45/0.97 (assume @p319 (forall (@list @t375 @t16) (= (_ (_ tptp.ord_le841296385at_nat @t376) @t16) (forall @t282 (=> (_ @t281 @t376) (_ @t281 @t16)))))) % 0.45/0.97 (assume @p320 (forall (@list @t377 @t25) (= (_ (_ tptp.ord_less_eq_set_nat @t378) @t25) (forall @t278 (=> (_ @t277 @t378) (_ @t277 @t25)))))) % 0.45/0.97 (assume @p321 (forall (@list @t17 @t476) (=> (not @t468) (exists (@list @t475) (and (_ tptp.finite772653738at_nat @t475) (= (_ tptp.finite447719721at_nat @t475) @t476) (_ (_ tptp.ord_le841296385at_nat @t475) @t17)))))) % 0.45/0.97 (assume @p322 (forall (@list @t26 @t476) (=> (not @t418) (exists (@list @t477) (and (_ tptp.finite_finite_nat @t477) (= (_ tptp.finite_card_nat @t477) @t476) (_ (_ tptp.ord_less_eq_set_nat @t477) @t26)))))) % 0.45/0.97 (assume @p323 (forall @t364 (=> @t387 (=> @t19 (=> (= @t386 @t385) @t34))))) % 0.45/0.97 (assume @p324 (forall @t365 (=> @t390 (=> @t28 (=> (= @t389 @t388) @t37))))) % 0.45/0.97 (assume @p325 (forall (@list @t370 @t478) (=> (forall (@list @t479) (=> (_ (_ tptp.ord_le841296385at_nat @t479) @t370) (=> (_ tptp.finite772653738at_nat @t479) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite447719721at_nat @t479)) @t478)))) (and @t371 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite447719721at_nat @t370)) @t478))))) % 0.45/0.97 (assume @p326 (forall (@list @t373 @t478) (=> (forall (@list @t480) (=> (_ (_ tptp.ord_less_eq_set_nat @t480) @t373) (=> (_ tptp.finite_finite_nat @t480) (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat @t480)) @t478)))) (and @t374 (_ (_ tptp.ord_less_eq_nat (_ tptp.finite_card_nat @t373)) @t478))))) % 0.45/0.97 (assume @p327 (forall @t62 (=> (_ @t347 @t46) (=> @t58 (_ (_ tptp.ord_less_eq_set_nat (_ tptp.set_nat2 (_ (_ tptp.pathVertices @t11) @t51))) @t46))))) % 0.45/0.97 (assume @p328 (forall (@list @t476 @t470) (=> (_ @t482 (_ tptp.finite447719721at_nat @t470)) (not (forall (@list @t481) (=> (_ (_ tptp.ord_le841296385at_nat @t481) @t470) (=> (= (_ tptp.finite447719721at_nat @t481) @t476) (not (_ tptp.finite772653738at_nat @t481))))))))) % 0.45/0.97 (assume @p329 (forall (@list @t476 @t472) (=> (_ @t482 (_ tptp.finite_card_nat @t472)) (not (forall (@list @t483) (=> (_ (_ tptp.ord_less_eq_set_nat @t483) @t472) (=> (= (_ tptp.finite_card_nat @t483) @t476) (not (_ tptp.finite_finite_nat @t483))))))))) % 0.45/0.97 (assume @p330 (forall (@list @t11 @t44 @t148 @t51 @t55) (= (_ (_ @t57 (_ (_ tptp.cons_P66992567at_nat @t484) @t51)) @t55) (and (= @t11 @t44) (_ (_ tptp.member701585322at_nat @t484) @t5) (_ (_ (_ @t56 @t148) @t51) @t55))))) % 0.45/0.97 (assume @p331 (forall @t62 (= @t61 (and @t58 (forall (@list @t485) (=> (_ (_ @t57 @t485) @t55) (_ (_ tptp.ord_less_eq_nat (_ tptp.size_s1990949619at_nat @t51)) (_ tptp.size_s1990949619at_nat @t485)))))))) % 0.45/0.97 (assume @p332 (forall (@list @t489 @t487 @t488 @t486) (= (= (_ (_ tptp.cons_P66992567at_nat @t489) @t487) (_ (_ tptp.cons_P66992567at_nat @t488) @t486)) (and (= @t489 @t488) (= @t487 @t486))))) % 0.45/0.97 (assume @p333 (forall (@list @t375 @t490 @t312) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.size_s1990949619at_nat @t375)) (_ tptp.size_s1990949619at_nat @t490)) (not (= @t375 (_ (_ tptp.cons_P66992567at_nat @t312) @t490)))))) % 0.45/0.97 (assume @p334 (forall (@list @t492 @t495) (=> (_ @t493 (_ tptp.set_nat2 @t495)) (=> (forall (@list @t491) (not (= @t495 (_ (_ tptp.cons_nat @t492) @t491)))) (not (forall (@list @t494 @t491) (=> (= @t495 (_ (_ tptp.cons_nat @t494) @t491)) (not (_ @t493 (_ tptp.set_nat2 @t491)))))))))) % 0.45/0.97 (assume @p335 (forall (@list @t48 @t498) (=> (_ @t49 (_ tptp.set_Pr2131844118at_nat @t498)) (=> (forall (@list @t496) (not (= @t498 (_ (_ tptp.cons_P66992567at_nat @t48) @t496)))) (not (forall (@list @t497 @t496) (=> (= @t498 (_ (_ tptp.cons_P66992567at_nat @t497) @t496)) (not (_ @t49 (_ tptp.set_Pr2131844118at_nat @t496)))))))))) % 0.45/0.97 (assume @p336 (forall (@list @t271 @t44 @t501) (=> (_ @t271 @t44) (=> (forall @t32 (=> @t303 (_ @t236 @t501))) (not (forall (@list @t499) (=> (_ @t271 @t499) (not (forall (@list @t500) (=> (_ @t271 @t500) (_ (_ tptp.ord_less_eq_nat @t500) @t499))))))))))) % 0.45/0.97 (assume @p337 (forall @t513 (=> (not @t512) (=> (=> @t511 @t510) (not (forall @t509 (=> @t508 @t505))))))) % 0.45/0.97 (assume @p338 (forall @t513 (=> @t512 (=> (=> @t511 @t515) (not (forall @t509 (=> @t508 @t514))))))) % 0.45/0.97 (assume @p339 (forall (@list @t11 @t55) (= (_ (_ @t57 tptp.nil_Pr1308055047at_nat) @t55) (= @t11 @t55)))) % 0.45/0.97 (assume @p340 (forall (@list @t71 @t51 @t70) (=> (_ (_ (_ @t56 @t71) @t51) @t70) (=> (=> (= @t51 tptp.nil_Pr1308055047at_nat) (not (= @t70 @t71))) (not (forall (@list @t516 @t517) (=> (= @t51 (_ (_ tptp.cons_P66992567at_nat @t518) @t516)) (=> (_ (_ tptp.member701585322at_nat @t518) @t5) (not (_ (_ (_ @t56 @t517) @t516) @t70)))))))))) % 0.45/0.97 (assume @p341 (forall (@list @t44 @t507 @t502 @t519) (=> (= @t512 @t519) (=> (=> @t511 (= @t519 @t515)) (not (forall @t509 (=> @t508 (= @t519 @t514)))))))) % 0.45/0.97 (assume @p342 (forall (@list @t523 @t522 @t521 @t520) (=> (forall (@list @t517 @t526) (_ (_ @t525 tptp.nil_Pr1308055047at_nat) @t526)) (=> (forall (@list @t517 @t29 @t235 @t503 @t524) (=> (_ (_ (_ @t523 @t235) @t503) @t524) (_ (_ @t525 @t506) @t524))) (_ (_ (_ @t523 @t522) @t521) @t520))))) % 0.45/0.97 (assume @p343 @t527) % 0.45/0.97 (assume @p344 true) % 0.45/0.97 (step @p345 (= tptp.ord_le841296385at_nat @t534) :rule refl :args (@t534)) % 0.45/0.97 (step @p346 (= tptp.ord_less_eq_set_nat @t537) :rule refl :args (@t537)) % 0.45/0.97 (step @p347 (= tptp.finite_Graph_a @t539) :rule refl :args (@t539)) % 0.45/0.97 (step @p348 (= tptp.ord_less_eq_nat @t540) :rule refl :args (@t540)) % 0.45/0.97 (step @p349 (= tptp.finite_finite_nat @t543) :rule refl :args (@t543)) % 0.45/0.97 (step @p350 :rule refl :args ((tptp.member701585322at_nat @t48 @t5))) % 0.45/0.97 (step @p351 :rule refl :args (@t544)) % 0.45/0.97 (step @p352 :rule refl :args (@t48)) % 0.45/0.97 (step @p353 :rule cong :premises (@p352 @p351) :args (@t545)) % 0.45/0.97 (step @p354 :rule trans :premises (@p353 @p350)) % 0.45/0.97 (step @p355 :rule refl :args (@t49)) % 0.45/0.97 (step @p356 :rule ho_cong :premises (@p355 @p351)) % 0.45/0.97 (step @p357 :rule cong :premises (@p356 @p354) :args ((= (_ @t49 @t544) @t545))) % 0.45/0.97 (step @p358 :rule symm :premises (@p357)) % 0.45/0.97 (step @p359 :rule refl :args (@t50)) % 0.45/0.97 (step @p360 :rule eq_resolve :premises (@p359 @p358)) % 0.45/0.97 (step @p361 :rule refl :args (@t5)) % 0.45/0.97 (step @p362 :rule cong :premises (@p361 @p351) :args ((= @t5 @t544))) % 0.45/0.97 (step @p363 :rule symm :premises (@p362)) % 0.45/0.97 (step @p364 :rule eq_resolve :premises (@p361 @p363)) % 0.45/0.97 (step @p365 :rule ho_cong :premises (@p355 @p364)) % 0.45/0.97 (step @p366 :rule trans :premises (@p365 @p360)) % 0.45/0.97 (step @p367 :rule refl :args ((tptp.member701585322at_nat @t48 @t52))) % 0.45/0.97 (step @p368 :rule refl :args (@t546)) % 0.45/0.97 (step @p369 :rule cong :premises (@p352 @p368) :args (@t547)) % 0.45/0.97 (step @p370 :rule trans :premises (@p369 @p367)) % 0.45/0.97 (step @p371 :rule ho_cong :premises (@p355 @p368)) % 0.45/0.97 (step @p372 :rule cong :premises (@p371 @p370) :args ((= (_ @t49 @t546) @t547))) % 0.45/0.97 (step @p373 :rule symm :premises (@p372)) % 0.45/0.97 (step @p374 :rule refl :args (@t53)) % 0.45/0.97 (step @p375 :rule eq_resolve :premises (@p374 @p373)) % 0.45/0.97 (step @p376 :rule refl :args (@t52)) % 0.45/0.97 (step @p377 :rule cong :premises (@p376 @p368) :args ((= @t52 @t546))) % 0.45/0.97 (step @p378 :rule symm :premises (@p377)) % 0.45/0.97 (step @p379 :rule eq_resolve :premises (@p376 @p378)) % 0.45/0.97 (step @p380 :rule ho_cong :premises (@p355 @p379)) % 0.45/0.97 (step @p381 :rule trans :premises (@p380 @p375)) % 0.45/0.97 (step @p382 :rule cong :premises (@p381) :args (@t548)) % 0.45/0.97 (step @p383 :rule refl :args (@t549)) % 0.45/0.97 (step @p384 :rule refl :args (@t58)) % 0.45/0.97 (step @p385 :rule cong :premises (@p384 @p383) :args ((= @t58 @t549))) % 0.45/0.97 (step @p386 :rule symm :premises (@p385)) % 0.45/0.97 (step @p387 :rule eq_resolve :premises (@p384 @p386)) % 0.45/0.97 (step @p388 :rule cong :premises (@p387) :args (@t550)) % 0.45/0.97 (step @p389 :rule nary_cong :premises (@p388 @p382 @p366) :args (@t551)) % 0.45/0.97 (step @p390 :rule cong :premises (@p389) :args ((forall @t59 @t551))) % 0.45/0.97 (step @p391 :rule aci_norm :args ((= (or @t550 (or @t548 @t50)) @t551))) % 0.45/0.97 (step @p392 :rule bool-impl-elim :args (@t53 @t50)) % 0.45/0.97 (step @p393 :rule refl :args (@t550)) % 0.45/0.97 (step @p394 :rule nary_cong :premises (@p393 @p392) :args ((or @t550 @t54))) % 0.45/0.97 (step @p395 :rule trans :premises (@p394 @p391)) % 0.45/0.97 (step @p396 :rule bool-impl-elim :args (@t58 @t54)) % 0.45/0.97 (step @p397 :rule trans :premises (@p396 @p395)) % 0.45/0.97 (step @p398 :rule cong :premises (@p397) :args (@t60)) % 0.45/0.97 (step @p399 :rule trans :premises (@p398 @p390)) % 0.45/0.97 (step @p400 :rule eq_resolve :premises (@p19 @p399)) % 0.45/0.97 (step @p401 :rule refl :args (@t552)) % 0.45/0.97 (step @p402 :rule refl :args (@t61)) % 0.45/0.97 (step @p403 :rule cong :premises (@p402 @p401) :args ((= @t61 @t552))) % 0.45/0.97 (step @p404 :rule symm :premises (@p403)) % 0.45/0.97 (step @p405 :rule eq_resolve :premises (@p402 @p404)) % 0.45/0.97 (step @p406 :rule cong :premises (@p405) :args (@t553)) % 0.45/0.97 (step @p407 :rule nary_cong :premises (@p406 @p387) :args (@t554)) % 0.45/0.97 (step @p408 :rule cong :premises (@p407) :args ((forall @t62 @t554))) % 0.45/0.97 (step @p409 :rule bool-impl-elim :args (@t61 @t58)) % 0.45/0.97 (step @p410 :rule cong :premises (@p409) :args (@t63)) % 0.45/0.97 (step @p411 :rule trans :premises (@p410 @p408)) % 0.45/0.97 (step @p412 :rule eq_resolve :premises (@p20 @p411)) % 0.45/0.97 (step @p413 :rule instantiate :premises (@p412) :args ((@list tptp.s tptp.p tptp.t))) % 0.45/0.97 (step @p414 :rule refl :args (@t555)) % 0.45/0.97 (step @p415 :rule refl :args (@t2)) % 0.45/0.97 (step @p416 :rule cong :premises (@p415 @p414) :args ((= @t2 @t555))) % 0.45/0.97 (step @p417 :rule symm :premises (@p416)) % 0.45/0.97 (step @p418 :rule eq_resolve :premises (@p415 @p417)) % 0.45/0.97 (step @p419 :rule eq_resolve :premises (@p1 @p418)) % 0.45/0.97 (step @p420 :rule cnf_or_pos :args (@t558)) % 0.45/0.97 (step @p421 :rule reordering :premises (@p420) :args ((or @t557 @t556 (not @t558)))) % 0.45/0.97 (step @p422 :rule chain_m_resolution :premises (@p421 @p419 @p413) :args (@t556 @t559 (@list @t555 @t558))) % 0.45/0.97 (step @p423 :rule refl :args (@t560)) % 0.45/0.97 (step @p424 :rule refl :args (@t3)) % 0.45/0.97 (step @p425 :rule cong :premises (@p424 @p423) :args ((= @t3 @t560))) % 0.45/0.97 (step @p426 :rule symm :premises (@p425)) % 0.45/0.97 (step @p427 :rule eq_resolve :premises (@p424 @p426)) % 0.45/0.97 (step @p428 :rule refl :args (@t528)) % 0.45/0.97 (step @p429 :rule cong :premises (@p428 @p427) :args (@t561)) % 0.45/0.97 (step @p430 :rule refl :args (@t562)) % 0.45/0.97 (step @p431 :rule nary_cong :premises (@p430 @p429) :args (@t563)) % 0.45/0.97 (step @p432 :rule cong :premises (@p431) :args (@t564)) % 0.45/0.97 (step @p433 :rule beta-reduce :args ((= (_ @t566 @t3) @t564))) % 0.45/0.97 (step @p434 :rule trans :premises (@p433 @p432)) % 0.45/0.97 (step @p435 :rule refl :args (@t3)) % 0.45/0.97 (step @p436 :rule beta-reduce :args ((= @t568 @t566))) % 0.45/0.97 (step @p437 :rule ho_cong :premises (@p436 @p435)) % 0.45/0.97 (step @p438 :rule trans :premises (@p437 @p434)) % 0.45/0.97 (step @p439 :rule refl :args (tptp.edges)) % 0.45/0.97 (step @p440 :rule refl :args (@t565)) % 0.45/0.97 (step @p441 :rule refl :args (@t530)) % 0.45/0.97 (step @p442 :rule cong :premises (@p441 @p440) :args ((= @t530 @t565))) % 0.45/0.97 (step @p443 :rule symm :premises (@p442)) % 0.45/0.97 (step @p444 :rule eq_resolve :premises (@p441 @p443)) % 0.45/0.97 (step @p445 :rule refl :args (@t567)) % 0.45/0.97 (step @p446 :rule refl :args (@t531)) % 0.45/0.97 (step @p447 :rule cong :premises (@p446 @p445) :args ((= @t531 @t567))) % 0.45/0.97 (step @p448 :rule symm :premises (@p447)) % 0.45/0.97 (step @p449 :rule eq_resolve :premises (@p446 @p448)) % 0.45/0.97 (step @p450 :rule cong :premises (@p449) :args (@t569)) % 0.45/0.97 (step @p451 :rule nary_cong :premises (@p450 @p444) :args (@t570)) % 0.45/0.97 (step @p452 :rule cong :premises (@p451) :args ((forall @t532 @t570))) % 0.45/0.97 (step @p453 :rule bool-impl-elim :args (@t531 @t530)) % 0.45/0.97 (step @p454 :rule cong :premises (@p453) :args (@t533)) % 0.45/0.97 (step @p455 :rule trans :premises (@p454 @p452)) % 0.45/0.97 (step @p456 :rule cong :premises (@p455) :args (@t534)) % 0.45/0.97 (step @p457 :rule trans :premises (@p345 @p456)) % 0.45/0.97 (step @p458 :rule ho_cong :premises (@p457 @p439)) % 0.45/0.97 (step @p459 :rule ho_cong :premises (@p458 @p435)) % 0.45/0.97 (step @p460 :rule trans :premises (@p459 @p438)) % 0.45/0.97 (step @p461 :rule eq_resolve :premises (@p2 @p460)) % 0.45/0.97 (step @p462 :rule instantiate :premises (@p461) :args ((@list @t571))) % 0.45/0.97 (step @p463 :rule cong :premises (@p428 @p364) :args (@t572)) % 0.45/0.97 (step @p464 :rule nary_cong :premises (@p430 @p463) :args (@t573)) % 0.45/0.97 (step @p465 :rule cong :premises (@p464) :args (@t574)) % 0.45/0.97 (step @p466 :rule beta-reduce :args ((= (_ @t566 @t5) @t574))) % 0.45/0.97 (step @p467 :rule trans :premises (@p466 @p465)) % 0.45/0.97 (step @p468 :rule refl :args (@t5)) % 0.45/0.97 (step @p469 :rule ho_cong :premises (@p436 @p468)) % 0.45/0.97 (step @p470 :rule trans :premises (@p469 @p467)) % 0.45/0.97 (step @p471 :rule cong :premises (@p470) :args ((not (_ @t568 @t5)))) % 0.45/0.97 (step @p472 :rule ho_cong :premises (@p458 @p468)) % 0.45/0.97 (step @p473 :rule cong :premises (@p472) :args (@t527)) % 0.45/0.97 (step @p474 :rule trans :premises (@p473 @p471)) % 0.45/0.97 (step @p475 :rule eq_resolve :premises (@p343 @p474)) % 0.45/0.97 (step @p476 :rule skolemize :premises (@p475)) % 0.45/0.97 (step @p477 :rule bool-double-not-elim :args (@t575)) % 0.45/0.97 (step @p478 :rule refl :args (@t578)) % 0.45/0.97 (step @p479 :rule nary_cong :premises (@p478 @p477) :args ((or @t578 (not @t577)))) % 0.45/0.97 (step @p480 :rule cnf_or_neg :args (@t578 0)) % 0.45/0.97 (step @p481 :rule eq_resolve :premises (@p480 @p479)) % 0.45/0.97 (step @p482 :rule reordering :premises (@p481) :args ((or @t575 @t578))) % 0.45/0.97 (step @p483 :rule chain_m_resolution :premises (@p482 @p476) :args (@t575 @t579 @t580)) % 0.45/0.97 (step @p484 :rule cnf_or_pos :args (@t582)) % 0.45/0.97 (step @p485 :rule reordering :premises (@p484) :args ((or @t577 @t581 (not @t582)))) % 0.45/0.97 (step @p486 :rule chain_m_resolution :premises (@p485 @p483 @p462) :args (@t581 @t559 (@list @t575 @t582))) % 0.45/0.97 (step @p487 :rule cnf_or_neg :args (@t578 1)) % 0.45/0.97 (step @p488 :rule chain_m_resolution :premises (@p487 @p476) :args ((not @t576) @t579 @t580)) % 0.45/0.97 (step @p489 :rule cnf_or_pos :args (@t585)) % 0.45/0.97 (step @p490 :rule reordering :premises (@p489) :args ((or @t576 @t583 @t584 @t586))) % 0.45/0.97 (step @p491 :rule chain_m_resolution :premises (@p490 @p488 @p486 @p422) :args (@t586 (@list true false false) (@list @t576 @t581 @t556))) % 0.45/0.97 (assume-push @p498 @t587) % 0.45/0.97 (step @p493 :rule instantiate :premises (@p400) :args ((@list tptp.s tptp.p tptp.t @t571))) % 0.45/0.97 (step-pop @p499 :rule scope :premises (@p493)) % 0.45/0.97 (step @p494 :rule process_scope :premises (@p499) :args (@t585)) % 0.45/0.97 (step @p496 :rule implies_elim :premises (@p494)) % 0.45/0.97 (step @p497 false :rule chain_m_resolution :premises (@p496 @p491 @p400) :args (false (@list true false) (@list @t585 @t587))) % 0.45/0.97 ) % 0.45/0.97 % SZS output end Proof % 0.45/0.97 % cvc5 exiting %------------------------------------------------------------------------------