%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW577_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:05:16 AM UTC 2026 % Result : Theorem 208.61s 209.03s % Output : Proof 197.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWW577_2 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n026.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 22:17:25 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.57 %----Proving TF0_ARI % 208.61/209.03 --- Run --finite-model-find --decision=internal at 45... % 208.61/209.03 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 208.61/209.03 --- Run --no-e-matching --full-saturate-quant at 45... % 208.61/209.03 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 208.61/209.03 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --no-cegqi --no-sygus-inst at 45... % 208.61/209.03 % SZS status Theorem % 208.61/209.03 % SZS output start Proof % 208.61/209.03 ( % 208.61/209.03 (declare-sort tptp.set_vertex 0) % 208.61/209.03 (declare-sort tptp.vertex 0) % 208.61/209.03 (declare-sort tptp.uni 0) % 208.61/209.03 (declare-sort tptp.ty 0) % 208.61/209.03 (declare-sort tptp.t 0) % 208.61/209.03 (declare-sort tptp.list_vertex 0) % 208.61/209.03 (declare-sort tptp.tuple0 0) % 208.61/209.03 (declare-sort tptp.map_vertex_t19 0) % 208.61/209.03 (declare-sort tptp.set_lpvertexcm_vertexrp 0) % 208.61/209.03 (declare-sort tptp.bool 0) % 208.61/209.03 (declare-sort tptp.lpvertexcm_vertexrp 0) % 208.61/209.03 (declare-const tptp.inv2 (-> tptp.map_vertex_t19 tptp.set_lpvertexcm_vertexrp Bool)) % 208.61/209.03 (declare-const tptp.inv1 (-> tptp.map_vertex_t19 Int tptp.set_lpvertexcm_vertexrp Bool)) % 208.61/209.03 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 208.61/209.03 (declare-const tptp.lt (-> tptp.t tptp.t Bool)) % 208.61/209.03 (declare-const tptp.finite_proj_1 (-> tptp.t Int)) % 208.61/209.03 (declare-const tptp.infinite tptp.t) % 208.61/209.03 (declare-const tptp.finite (-> Int tptp.t)) % 208.61/209.03 (declare-const tptp.path (-> tptp.vertex tptp.list_vertex tptp.vertex Bool)) % 208.61/209.03 (declare-const tptp.mem3 (-> tptp.ty tptp.uni tptp.uni Bool)) % 208.61/209.03 (declare-const tptp.infix_plpl (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.edge (-> tptp.vertex tptp.vertex Bool)) % 208.61/209.03 (declare-const tptp.edges tptp.set_lpvertexcm_vertexrp) % 208.61/209.03 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.tuple2_proj_2 (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.tuple22 (-> tptp.vertex tptp.vertex tptp.lpvertexcm_vertexrp)) % 208.61/209.03 (declare-const tptp.le (-> tptp.t tptp.t Bool)) % 208.61/209.03 (declare-const tptp.tuple21 (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.cardinal (-> tptp.ty tptp.uni Int)) % 208.61/209.03 (declare-const tptp.cardinal1 (-> tptp.set_vertex Int)) % 208.61/209.03 (declare-const tptp.length (-> tptp.ty tptp.uni Int)) % 208.61/209.03 (declare-const tptp.length1 (-> tptp.list_vertex Int)) % 208.61/209.03 (declare-const tptp.s tptp.vertex) % 208.61/209.03 (declare-const tptp.t2tb3 (-> tptp.list_vertex tptp.uni)) % 208.61/209.03 (declare-const tptp.union (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.tb2t3 (-> tptp.uni tptp.list_vertex)) % 208.61/209.03 (declare-const tptp.add (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.get1 (-> tptp.map_vertex_t19 tptp.vertex tptp.t)) % 208.61/209.03 (declare-const tptp.tb2t2 (-> tptp.uni tptp.t)) % 208.61/209.03 (declare-const tptp.negative_cycle (-> tptp.vertex Bool)) % 208.61/209.03 (declare-const tptp.t2tb4 (-> tptp.set_lpvertexcm_vertexrp tptp.uni)) % 208.61/209.03 (declare-const tptp.t2tb2 (-> tptp.t tptp.uni)) % 208.61/209.03 (declare-const tptp.mem1 (-> tptp.vertex tptp.set_vertex Bool)) % 208.61/209.03 (declare-const tptp.tb2t1 (-> tptp.uni tptp.map_vertex_t19)) % 208.61/209.03 (declare-const tptp.cardinal2 (-> tptp.set_lpvertexcm_vertexrp Int)) % 208.61/209.03 (declare-const tptp.path_weight (-> tptp.list_vertex tptp.vertex Int)) % 208.61/209.03 (declare-const tptp.witness (-> tptp.ty tptp.uni)) % 208.61/209.03 (declare-const tptp.weight (-> tptp.vertex tptp.vertex Int)) % 208.61/209.03 (declare-const tptp.remove2 (-> tptp.lpvertexcm_vertexrp tptp.set_lpvertexcm_vertexrp tptp.set_lpvertexcm_vertexrp)) % 208.61/209.03 (declare-const tptp.sort (-> tptp.ty tptp.uni Bool)) % 208.61/209.03 (declare-const tptp.match_bool (-> tptp.ty tptp.bool tptp.uni tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.tuple2_proj_1 (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.cons (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.t2tb (-> tptp.vertex tptp.uni)) % 208.61/209.03 (declare-const tptp.tb2t4 (-> tptp.uni tptp.set_lpvertexcm_vertexrp)) % 208.61/209.03 (declare-const tptp.t2tb6 (-> tptp.lpvertexcm_vertexrp tptp.uni)) % 208.61/209.03 (declare-const tptp.tuple02 tptp.tuple0) % 208.61/209.03 (declare-const tptp.match_t (-> tptp.ty tptp.t tptp.uni tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.t2tb5 (-> tptp.set_vertex tptp.uni)) % 208.61/209.03 (declare-const tptp.diff2 (-> tptp.set_lpvertexcm_vertexrp tptp.set_lpvertexcm_vertexrp tptp.set_lpvertexcm_vertexrp)) % 208.61/209.03 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.list (-> tptp.ty tptp.ty)) % 208.61/209.03 (declare-const tptp.diff (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.true tptp.bool) % 208.61/209.03 (declare-const tptp.add1 (-> tptp.vertex tptp.set_vertex tptp.set_vertex)) % 208.61/209.03 (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.pigeon_set (-> tptp.set_vertex Bool)) % 208.61/209.03 (declare-const tptp.cons_proj_1 (-> tptp.ty tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.empty1 tptp.set_vertex) % 208.61/209.03 (declare-const tptp.add3 (-> tptp.t tptp.t tptp.t)) % 208.61/209.03 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) % 208.61/209.03 (declare-const tptp.tb2t (-> tptp.uni tptp.vertex)) % 208.61/209.03 (declare-const tptp.vertex1 tptp.ty) % 208.61/209.03 (declare-const tptp.nil (-> tptp.ty tptp.uni)) % 208.61/209.03 (declare-const tptp.cons_proj_2 (-> tptp.ty tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.false tptp.bool) % 208.61/209.03 (declare-const tptp.vertices tptp.set_vertex) % 208.61/209.03 (declare-const tptp.choose (-> tptp.ty tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.match_list (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.t2tb1 (-> tptp.map_vertex_t19 tptp.uni)) % 208.61/209.03 (declare-const tptp.tuple2 (-> tptp.ty tptp.ty tptp.ty)) % 208.61/209.03 (declare-const tptp.mem2 (-> tptp.lpvertexcm_vertexrp tptp.set_lpvertexcm_vertexrp Bool)) % 208.61/209.03 (declare-const tptp.tb2t5 (-> tptp.uni tptp.set_vertex)) % 208.61/209.03 (declare-const tptp.mem (-> tptp.ty tptp.uni tptp.uni Bool)) % 208.61/209.03 (declare-const tptp.subset (-> tptp.ty tptp.uni tptp.uni Bool)) % 208.61/209.03 (declare-const tptp.remove (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.infix_eqeq (-> tptp.ty tptp.uni tptp.uni Bool)) % 208.61/209.03 (declare-const tptp.empty (-> tptp.ty tptp.uni)) % 208.61/209.03 (declare-const tptp.is_empty (-> tptp.ty tptp.uni Bool)) % 208.61/209.03 (declare-const tptp.empty2 tptp.set_lpvertexcm_vertexrp) % 208.61/209.03 (declare-const tptp.add2 (-> tptp.lpvertexcm_vertexrp tptp.set_lpvertexcm_vertexrp tptp.set_lpvertexcm_vertexrp)) % 208.61/209.03 (declare-const tptp.remove1 (-> tptp.vertex tptp.set_vertex tptp.set_vertex)) % 208.61/209.03 (declare-const tptp.inter (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 208.61/209.03 (declare-const tptp.t1 tptp.ty) % 208.61/209.03 (declare-const tptp.diff1 (-> tptp.set_vertex tptp.set_vertex tptp.set_vertex)) % 208.61/209.03 (declare-const tptp.set1 (-> tptp.ty tptp.ty)) % 208.61/209.03 (declare-const tptp.tb2t6 (-> tptp.uni tptp.lpvertexcm_vertexrp)) % 208.61/209.03 (define @t1 () (@var "A" tptp.ty)) % 208.61/209.03 (define @t2 () (@list @t1)) % 208.61/209.03 (define @t3 () (@var "X2" tptp.uni)) % 208.61/209.03 (define @t4 () (@var "X1" tptp.uni)) % 208.61/209.03 (define @t5 () (@var "X" tptp.bool)) % 208.61/209.03 (define @t6 () (@var "Z" tptp.uni)) % 208.61/209.03 (define @t7 () (@var "Z1" tptp.uni)) % 208.61/209.03 (define @t8 () (tptp.sort @t1 @t6)) % 208.61/209.03 (define @t9 () (@list @t1 @t6 @t7)) % 208.61/209.03 (define @t10 () (tptp.sort @t1 @t7)) % 208.61/209.03 (define @t11 () (@var "U" tptp.bool)) % 208.61/209.03 (define @t12 () (@var "U" tptp.tuple0)) % 208.61/209.03 (define @t13 () (@var "X" tptp.uni)) % 208.61/209.03 (define @t14 () (@var "B" tptp.ty)) % 208.61/209.03 (define @t15 () (tptp.map @t1 @t14)) % 208.61/209.03 (define @t16 () (@var "X" tptp.vertex)) % 208.61/209.03 (define @t17 () (tptp.t2tb @t16)) % 208.61/209.03 (define @t18 () (@list @t16)) % 208.61/209.03 (define @t19 () (@var "I" tptp.vertex)) % 208.61/209.03 (define @t20 () (@var "J" tptp.uni)) % 208.61/209.03 (define @t21 () (@list @t20)) % 208.61/209.03 (define @t22 () (@var "X" tptp.map_vertex_t19)) % 208.61/209.03 (define @t23 () (@var "I" tptp.map_vertex_t19)) % 208.61/209.03 (define @t24 () (@var "X" tptp.t)) % 208.61/209.03 (define @t25 () (@list @t24)) % 208.61/209.03 (define @t26 () (@var "I" tptp.t)) % 208.61/209.03 (define @t27 () (@var "B" tptp.t)) % 208.61/209.03 (define @t28 () (@var "A2" tptp.vertex)) % 208.61/209.03 (define @t29 () (tptp.t2tb2 @t27)) % 208.61/209.03 (define @t30 () (@var "A1" tptp.vertex)) % 208.61/209.03 (define @t31 () (@var "M" tptp.map_vertex_t19)) % 208.61/209.03 (define @t32 () (tptp.get1 (tptp.tb2t1 (tptp.set tptp.t1 tptp.vertex1 (tptp.t2tb1 @t31) (tptp.t2tb @t30) @t29)) @t28)) % 208.61/209.03 (define @t33 () (= @t30 @t28)) % 208.61/209.03 (define @t34 () (@list @t31 @t30 @t28 @t27)) % 208.61/209.03 (define @t35 () (@var "B1" tptp.uni)) % 208.61/209.03 (define @t36 () (@var "A2" tptp.uni)) % 208.61/209.03 (define @t37 () (@var "A1" tptp.uni)) % 208.61/209.03 (define @t38 () (@var "M" tptp.uni)) % 208.61/209.03 (define @t39 () (tptp.get @t14 @t1 (tptp.set @t14 @t1 @t38 @t37 @t35) @t36)) % 208.61/209.03 (define @t40 () (= @t37 @t36)) % 208.61/209.03 (define @t41 () (tptp.sort @t14 @t35)) % 208.61/209.03 (define @t42 () (@var "A" tptp.vertex)) % 208.61/209.03 (define @t43 () (@var "Z" Int)) % 208.61/209.03 (define @t44 () (@var "Y" Int)) % 208.61/209.03 (define @t45 () (@var "X" Int)) % 208.61/209.03 (define @t46 () (tptp.nil @t1)) % 208.61/209.03 (define @t47 () (tptp.list @t1)) % 208.61/209.03 (define @t48 () (tptp.cons @t1 @t13 @t4)) % 208.61/209.03 (define @t49 () (@list @t1 @t13 @t4)) % 208.61/209.03 (define @t50 () (@var "A1" tptp.ty)) % 208.61/209.03 (define @t51 () (@var "U1" tptp.uni)) % 208.61/209.03 (define @t52 () (@var "U" tptp.uni)) % 208.61/209.03 (define @t53 () (tptp.cons @t1 @t52 @t51)) % 208.61/209.03 (define @t54 () (@var "V1" tptp.uni)) % 208.61/209.03 (define @t55 () (@var "V" tptp.uni)) % 208.61/209.03 (define @t56 () (@list @t1 @t13)) % 208.61/209.03 (define @t57 () (tptp.sort @t1 @t52)) % 208.61/209.03 (define @t58 () (@list @t1 @t52 @t51)) % 208.61/209.03 (define @t59 () (@list @t1 @t52)) % 208.61/209.03 (define @t60 () (@var "X" tptp.list_vertex)) % 208.61/209.03 (define @t61 () (@var "I" tptp.list_vertex)) % 208.61/209.03 (define @t62 () (@var "X1" tptp.list_vertex)) % 208.61/209.03 (define @t63 () (tptp.tb2t3 (tptp.cons tptp.vertex1 @t17 (tptp.t2tb3 @t62)))) % 208.61/209.03 (define @t64 () (@list @t16 @t62)) % 208.61/209.03 (define @t65 () (tptp.nil tptp.vertex1)) % 208.61/209.03 (define @t66 () (tptp.tb2t3 @t65)) % 208.61/209.03 (define @t67 () (@list @t13 @t4)) % 208.61/209.03 (define @t68 () (@var "L" tptp.list_vertex)) % 208.61/209.03 (define @t69 () (tptp.length1 @t68)) % 208.61/209.03 (define @t70 () (@list @t68)) % 208.61/209.03 (define @t71 () (@var "L" tptp.uni)) % 208.61/209.03 (define @t72 () (tptp.length @t1 @t71)) % 208.61/209.03 (define @t73 () (@list @t1 @t71)) % 208.61/209.03 (define @t74 () (= @t68 @t66)) % 208.61/209.03 (define @t75 () (@var "X" tptp.set_lpvertexcm_vertexrp)) % 208.61/209.03 (define @t76 () (tptp.tuple2 tptp.vertex1 tptp.vertex1)) % 208.61/209.03 (define @t77 () (tptp.set1 @t76)) % 208.61/209.03 (define @t78 () (@var "I" tptp.set_lpvertexcm_vertexrp)) % 208.61/209.03 (define @t79 () (@var "S2" tptp.set_lpvertexcm_vertexrp)) % 208.61/209.03 (define @t80 () (@var "X" tptp.lpvertexcm_vertexrp)) % 208.61/209.03 (define @t81 () (tptp.mem2 @t80 @t79)) % 208.61/209.03 (define @t82 () (@var "S1" tptp.set_lpvertexcm_vertexrp)) % 208.61/209.03 (define @t83 () (tptp.mem2 @t80 @t82)) % 208.61/209.03 (define @t84 () (@list @t80)) % 208.61/209.03 (define @t85 () (tptp.t2tb4 @t79)) % 208.61/209.03 (define @t86 () (tptp.t2tb4 @t82)) % 208.61/209.03 (define @t87 () (@list @t82 @t79)) % 208.61/209.03 (define @t88 () (@var "X" tptp.set_vertex)) % 208.61/209.03 (define @t89 () (tptp.set1 tptp.vertex1)) % 208.61/209.03 (define @t90 () (@var "I" tptp.set_vertex)) % 208.61/209.03 (define @t91 () (@var "S2" tptp.set_vertex)) % 208.61/209.03 (define @t92 () (tptp.mem1 @t16 @t91)) % 208.61/209.03 (define @t93 () (@var "S1" tptp.set_vertex)) % 208.61/209.03 (define @t94 () (tptp.mem1 @t16 @t93)) % 208.61/209.03 (define @t95 () (tptp.t2tb5 @t91)) % 208.61/209.03 (define @t96 () (tptp.t2tb5 @t93)) % 208.61/209.03 (define @t97 () (@list @t93 @t91)) % 208.61/209.03 (define @t98 () (@var "S2" tptp.uni)) % 208.61/209.03 (define @t99 () (@var "S1" tptp.uni)) % 208.61/209.03 (define @t100 () (tptp.infix_eqeq @t1 @t99 @t98)) % 208.61/209.03 (define @t101 () (tptp.mem @t1 @t13 @t98)) % 208.61/209.03 (define @t102 () (tptp.mem @t1 @t13 @t99)) % 208.61/209.03 (define @t103 () (= @t102 @t101)) % 208.61/209.03 (define @t104 () (tptp.sort @t1 @t13)) % 208.61/209.03 (define @t105 () (@list @t13)) % 208.61/209.03 (define @t106 () (@list @t1 @t99 @t98)) % 208.61/209.03 (define @t107 () (tptp.set1 @t1)) % 208.61/209.03 (define @t108 () (tptp.subset @t76 @t86 @t85)) % 208.61/209.03 (define @t109 () (tptp.subset tptp.vertex1 @t96 @t95)) % 208.61/209.03 (define @t110 () (tptp.subset @t1 @t99 @t98)) % 208.61/209.03 (define @t111 () (=> @t102 @t101)) % 208.61/209.03 (define @t112 () (@var "S" tptp.uni)) % 208.61/209.03 (define @t113 () (@list @t1 @t112)) % 208.61/209.03 (define @t114 () (@var "S3" tptp.uni)) % 208.61/209.03 (define @t115 () (tptp.empty @t1)) % 208.61/209.03 (define @t116 () (@var "S" tptp.set_lpvertexcm_vertexrp)) % 208.61/209.03 (define @t117 () (tptp.mem2 @t80 @t116)) % 208.61/209.03 (define @t118 () (not @t117)) % 208.61/209.03 (define @t119 () (tptp.t2tb4 @t116)) % 208.61/209.03 (define @t120 () (tptp.is_empty @t76 @t119)) % 208.61/209.03 (define @t121 () (@list @t116)) % 208.61/209.03 (define @t122 () (@var "S" tptp.set_vertex)) % 208.61/209.03 (define @t123 () (tptp.mem1 @t16 @t122)) % 208.61/209.03 (define @t124 () (not @t123)) % 208.61/209.03 (define @t125 () (tptp.t2tb5 @t122)) % 208.61/209.03 (define @t126 () (tptp.is_empty tptp.vertex1 @t125)) % 208.61/209.03 (define @t127 () (@list @t122)) % 208.61/209.03 (define @t128 () (tptp.is_empty @t1 @t112)) % 208.61/209.03 (define @t129 () (tptp.mem @t1 @t13 @t112)) % 208.61/209.03 (define @t130 () (not @t129)) % 208.61/209.03 (define @t131 () (@var "Y" tptp.lpvertexcm_vertexrp)) % 208.61/209.03 (define @t132 () (= @t80 @t131)) % 208.61/209.03 (define @t133 () (@list @t80 @t131 @t116)) % 208.61/209.03 (define @t134 () (forall @t133 (= (tptp.mem2 @t80 (tptp.add2 @t131 @t116)) (or @t132 @t117)))) % 208.61/209.03 (define @t135 () (@var "Y" tptp.vertex)) % 208.61/209.03 (define @t136 () (= @t16 @t135)) % 208.61/209.03 (define @t137 () (@list @t16 @t135 @t122)) % 208.61/209.03 (define @t138 () (@var "Y" tptp.uni)) % 208.61/209.03 (define @t139 () (= @t13 @t138)) % 208.61/209.03 (define @t140 () (tptp.sort @t1 @t138)) % 208.61/209.03 (define @t141 () (forall @t133 (= (tptp.mem2 @t80 (tptp.remove2 @t131 @t116)) (and (not @t132) @t117)))) % 208.61/209.03 (define @t142 () (tptp.remove2 @t80 @t116)) % 208.61/209.03 (define @t143 () (@list @t80 @t116)) % 208.61/209.03 (define @t144 () (tptp.remove1 @t16 @t122)) % 208.61/209.03 (define @t145 () (@list @t16 @t122)) % 208.61/209.03 (define @t146 () (tptp.remove @t1 @t13 @t112)) % 208.61/209.03 (define @t147 () (@list @t1 @t13 @t112)) % 208.61/209.03 (define @t148 () (tptp.add2 @t80 @t116)) % 208.61/209.03 (define @t149 () (tptp.add1 @t16 @t122)) % 208.61/209.03 (define @t150 () (tptp.add @t1 @t13 @t112)) % 208.61/209.03 (define @t151 () (@list @t82 @t79 @t80)) % 208.61/209.03 (define @t152 () (@list @t93 @t91 @t16)) % 208.61/209.03 (define @t153 () (@list @t1 @t99 @t98 @t13)) % 208.61/209.03 (define @t154 () (tptp.diff2 @t82 @t79)) % 208.61/209.03 (define @t155 () (tptp.diff1 @t93 @t91)) % 208.61/209.03 (define @t156 () (tptp.diff @t1 @t99 @t98)) % 208.61/209.03 (define @t157 () (@var "I" tptp.lpvertexcm_vertexrp)) % 208.61/209.03 (define @t158 () (tptp.tb2t6 (tptp.choose @t76 @t119))) % 208.61/209.03 (define @t159 () (tptp.tb2t (tptp.choose tptp.vertex1 @t125))) % 208.61/209.03 (define @t160 () (tptp.choose @t1 @t112)) % 208.61/209.03 (define @t161 () (tptp.cardinal2 @t116)) % 208.61/209.03 (define @t162 () (tptp.cardinal1 @t122)) % 208.61/209.03 (define @t163 () (tptp.cardinal @t1 @t112)) % 208.61/209.03 (define @t164 () (tptp.tuple2 @t50 @t1)) % 208.61/209.03 (define @t165 () (@list @t1 @t50 @t13)) % 208.61/209.03 (define @t166 () (@var "U" tptp.vertex)) % 208.61/209.03 (define @t167 () (@var "U1" tptp.vertex)) % 208.61/209.03 (define @t168 () (tptp.t2tb6 (tptp.tuple22 @t166 @t167))) % 208.61/209.03 (define @t169 () (@list @t166 @t167)) % 208.61/209.03 (define @t170 () (tptp.tuple21 @t50 @t1 @t52 @t51)) % 208.61/209.03 (define @t171 () (@list @t1 @t50 @t52 @t51)) % 208.61/209.03 (define @t172 () (tptp.tb2t (tptp.tuple2_proj_2 tptp.vertex1 tptp.vertex1 @t168))) % 208.61/209.03 (define @t173 () (forall @t169 (= @t172 @t167))) % 208.61/209.03 (define @t174 () (@var "U" tptp.lpvertexcm_vertexrp)) % 208.61/209.03 (define @t175 () (tptp.t2tb6 @t174)) % 208.61/209.03 (define @t176 () (tptp.mem2 (tptp.tuple22 @t16 @t135) tptp.edges)) % 208.61/209.03 (define @t177 () (tptp.edge @t16 @t135)) % 208.61/209.03 (define @t178 () (@list @t16 @t135)) % 208.61/209.03 (define @t179 () (tptp.cardinal1 tptp.vertices)) % 208.61/209.03 (define @t180 () (@var "L2" tptp.uni)) % 208.61/209.03 (define @t181 () (@var "L3" tptp.uni)) % 208.61/209.03 (define @t182 () (@var "L1" tptp.uni)) % 208.61/209.03 (define @t183 () (tptp.infix_plpl @t1 @t182 @t180)) % 208.61/209.03 (define @t184 () (@var "L2" tptp.list_vertex)) % 208.61/209.03 (define @t185 () (@var "L1" tptp.list_vertex)) % 208.61/209.03 (define @t186 () (tptp.t2tb3 @t184)) % 208.61/209.03 (define @t187 () (tptp.t2tb3 @t185)) % 208.61/209.03 (define @t188 () (tptp.tb2t3 (tptp.infix_plpl tptp.vertex1 @t187 @t186))) % 208.61/209.03 (define @t189 () (@list @t185 @t184)) % 208.61/209.03 (define @t190 () (@var "Z" tptp.vertex)) % 208.61/209.03 (define @t191 () (tptp.t2tb3 @t68)) % 208.61/209.03 (define @t192 () (tptp.tb2t3 (tptp.cons tptp.vertex1 @t17 @t191))) % 208.61/209.03 (define @t193 () (@list @t16 @t135 @t190 @t68)) % 208.61/209.03 (define @t194 () (@var "Z3" tptp.vertex)) % 208.61/209.03 (define @t195 () (@var "Z2" tptp.vertex)) % 208.61/209.03 (define @t196 () (@var "Z1" tptp.list_vertex)) % 208.61/209.03 (define @t197 () (= @t190 @t16)) % 208.61/209.03 (define @t198 () (tptp.t2tb @t135)) % 208.61/209.03 (define @t199 () (tptp.cons tptp.vertex1 @t198 @t65)) % 208.61/209.03 (define @t200 () (tptp.edge @t135 @t190)) % 208.61/209.03 (define @t201 () (@var "Lqt" tptp.list_vertex)) % 208.61/209.03 (define @t202 () (tptp.path @t16 @t185 @t135)) % 208.61/209.03 (define @t203 () (@list @t16 @t135 @t190 @t185 @t184)) % 208.61/209.03 (define @t204 () (tptp.cons tptp.vertex1 @t198 @t186)) % 208.61/209.03 (define @t205 () (tptp.tb2t3 @t204)) % 208.61/209.03 (define @t206 () (tptp.tb2t3 (tptp.infix_plpl tptp.vertex1 @t187 @t204))) % 208.61/209.03 (define @t207 () (@var "Dst" tptp.vertex)) % 208.61/209.03 (define @t208 () (@var "X2" tptp.vertex)) % 208.61/209.03 (define @t209 () (tptp.path_weight @t63 @t207)) % 208.61/209.03 (define @t210 () (@var "X3" tptp.list_vertex)) % 208.61/209.03 (define @t211 () (@var "V2" tptp.vertex)) % 208.61/209.03 (define @t212 () (@var "V1" tptp.vertex)) % 208.61/209.03 (define @t213 () (tptp.mem1 @t212 tptp.vertices)) % 208.61/209.03 (define @t214 () (@var "L3" tptp.list_vertex)) % 208.61/209.03 (define @t215 () (tptp.t2tb3 @t214)) % 208.61/209.03 (define @t216 () (@var "E" tptp.vertex)) % 208.61/209.03 (define @t217 () (tptp.t2tb @t216)) % 208.61/209.03 (define @t218 () (tptp.tb2t3 (tptp.infix_plpl tptp.vertex1 @t187 (tptp.cons tptp.vertex1 @t217 (tptp.infix_plpl tptp.vertex1 @t186 (tptp.cons tptp.vertex1 @t217 @t215)))))) % 208.61/209.03 (define @t219 () (@list @t216 @t185 @t184 @t214)) % 208.61/209.03 (define @t220 () (exists @t219 (= @t68 @t218))) % 208.61/209.03 (define @t221 () (tptp.mem1 @t216 @t122)) % 208.61/209.03 (define @t222 () (tptp.mem3 tptp.vertex1 @t217 @t191)) % 208.61/209.03 (define @t223 () (@list @t216)) % 208.61/209.03 (define @t224 () (forall @t223 (=> @t222 @t221))) % 208.61/209.03 (define @t225 () (=> @t224 (=> (< @t162 @t69) @t220))) % 208.61/209.03 (define @t226 () (tptp.pigeon_set @t122)) % 208.61/209.03 (define @t227 () (forall @t127 @t226)) % 208.61/209.03 (define @t228 () (@var "T" tptp.vertex)) % 208.61/209.03 (define @t229 () (tptp.pigeon_set (tptp.add1 @t228 @t122))) % 208.61/209.03 (define @t230 () (@list @t228)) % 208.61/209.03 (define @t231 () (@list @t122 @t68)) % 208.61/209.03 (define @t232 () (@var "V" tptp.vertex)) % 208.61/209.03 (define @t233 () (tptp.t2tb @t232)) % 208.61/209.03 (define @t234 () (tptp.cons tptp.vertex1 @t233 @t191)) % 208.61/209.03 (define @t235 () (forall (@list @t212) (=> (tptp.mem3 tptp.vertex1 (tptp.t2tb @t212) @t234) @t213))) % 208.61/209.03 (define @t236 () (tptp.path tptp.s @t68 @t232)) % 208.61/209.03 (define @t237 () (@list @t68 @t232)) % 208.61/209.03 (define @t238 () (tptp.tb2t3 @t234)) % 208.61/209.03 (define @t239 () (exists @t219 (= @t238 @t218))) % 208.61/209.03 (define @t240 () (@var "N" tptp.vertex)) % 208.61/209.03 (define @t241 () (tptp.t2tb @t240)) % 208.61/209.03 (define @t242 () (or (exists @t189 (= @t68 (tptp.tb2t3 (tptp.infix_plpl tptp.vertex1 @t187 (tptp.cons tptp.vertex1 @t233 @t186))))) (exists (@list @t240 @t185 @t184 @t214) (= @t68 (tptp.tb2t3 (tptp.infix_plpl tptp.vertex1 @t187 (tptp.cons tptp.vertex1 @t241 (tptp.infix_plpl tptp.vertex1 @t186 (tptp.cons tptp.vertex1 @t241 @t215))))))))) % 208.61/209.03 (define @t243 () (@list @t185)) % 208.61/209.03 (define @t244 () (tptp.mem1 @t232 tptp.vertices)) % 208.61/209.03 (define @t245 () (tptp.negative_cycle @t232)) % 208.61/209.03 (define @t246 () (@list @t232)) % 208.61/209.03 (define @t247 () (@list @t166)) % 208.61/209.03 (define @t248 () (@var "N" Int)) % 208.61/209.03 (define @t249 () (tptp.path_weight @t68 @t232)) % 208.61/209.03 (define @t250 () (@var "U" Int)) % 208.61/209.03 (define @t251 () (tptp.finite @t250)) % 208.61/209.03 (define @t252 () (not (= @t251 tptp.infinite))) % 208.61/209.03 (define @t253 () (@list @t250)) % 208.61/209.03 (define @t254 () (forall @t253 @t252)) % 208.61/209.03 (define @t255 () (tptp.finite_proj_1 @t251)) % 208.61/209.03 (define @t256 () (= @t255 @t250)) % 208.61/209.03 (define @t257 () (forall @t253 @t256)) % 208.61/209.03 (define @t258 () (@var "U" tptp.t)) % 208.61/209.03 (define @t259 () (@var "Y" tptp.t)) % 208.61/209.03 (define @t260 () (tptp.finite @t45)) % 208.61/209.03 (define @t261 () (@var "Y1" Int)) % 208.61/209.03 (define @t262 () (tptp.finite @t261)) % 208.61/209.03 (define @t263 () (@list @t261)) % 208.61/209.03 (define @t264 () (@list @t45)) % 208.61/209.03 (define @t265 () (@list @t259)) % 208.61/209.03 (define @t266 () (= @t24 @t259)) % 208.61/209.03 (define @t267 () (tptp.le @t24 @t259)) % 208.61/209.03 (define @t268 () (@list @t24 @t259)) % 208.61/209.03 (define @t269 () (@var "Z" tptp.t)) % 208.61/209.03 (define @t270 () (tptp.le @t259 @t24)) % 208.61/209.03 (define @t271 () (tptp.ref @t1)) % 208.61/209.03 (define @t272 () (@var "Via" tptp.set_lpvertexcm_vertexrp)) % 208.61/209.03 (define @t273 () (@var "Pass" Int)) % 208.61/209.03 (define @t274 () (tptp.inv1 @t31 @t273 @t272)) % 208.61/209.03 (define @t275 () (@var "Lu" tptp.list_vertex)) % 208.61/209.03 (define @t276 () (tptp.length1 @t275)) % 208.61/209.03 (define @t277 () (tptp.path tptp.s @t275 @t166)) % 208.61/209.03 (define @t278 () (@list @t275)) % 208.61/209.03 (define @t279 () (tptp.tuple22 @t166 @t232)) % 208.61/209.03 (define @t280 () (tptp.mem2 @t279 @t272)) % 208.61/209.03 (define @t281 () (forall @t247 (=> @t280 (forall @t278 (=> @t277 (<= @t273 @t276)))))) % 208.61/209.03 (define @t282 () (forall @t70 (=> @t236 (<= @t273 @t69)))) % 208.61/209.03 (define @t283 () (tptp.get1 @t31 @t232)) % 208.61/209.03 (define @t284 () (= @t283 tptp.infinite)) % 208.61/209.03 (define @t285 () (tptp.weight @t166 @t232)) % 208.61/209.03 (define @t286 () (tptp.path_weight @t68 @t166)) % 208.61/209.03 (define @t287 () (+ @t286 @t285)) % 208.61/209.03 (define @t288 () (<= @t45 @t287)) % 208.61/209.03 (define @t289 () (< @t69 @t273)) % 208.61/209.03 (define @t290 () (tptp.path tptp.s @t68 @t166)) % 208.61/209.03 (define @t291 () (@list @t166 @t68)) % 208.61/209.03 (define @t292 () (forall @t291 (=> @t290 (=> @t289 (=> @t280 @t288))))) % 208.61/209.03 (define @t293 () (<= @t45 @t249)) % 208.61/209.03 (define @t294 () (forall @t70 (=> @t236 (=> @t289 @t293)))) % 208.61/209.03 (define @t295 () (= @t249 @t45)) % 208.61/209.03 (define @t296 () (and @t236 @t295)) % 208.61/209.03 (define @t297 () (exists @t70 @t296)) % 208.61/209.03 (define @t298 () (= @t283 @t260)) % 208.61/209.03 (define @t299 () (@var "Es2" tptp.set_lpvertexcm_vertexrp)) % 208.61/209.03 (define @t300 () (tptp.diff2 tptp.edges @t299)) % 208.61/209.03 (define @t301 () (tptp.mem2 @t279 @t300)) % 208.61/209.03 (define @t302 () (=> @t301 @t288)) % 208.61/209.03 (define @t303 () (@var "I" Int)) % 208.61/209.03 (define @t304 () (< @t69 @t303)) % 208.61/209.03 (define @t305 () (=> @t304 @t302)) % 208.61/209.03 (define @t306 () (=> @t290 @t305)) % 208.61/209.03 (define @t307 () (forall @t291 @t306)) % 208.61/209.03 (define @t308 () (@var "M2" tptp.map_vertex_t19)) % 208.61/209.03 (define @t309 () (tptp.get1 @t308 @t232)) % 208.61/209.03 (define @t310 () (= @t309 @t260)) % 208.61/209.03 (define @t311 () (=> @t310 @t307)) % 208.61/209.03 (define @t312 () (forall @t264 @t311)) % 208.61/209.03 (define @t313 () (=> @t244 @t312)) % 208.61/209.03 (define @t314 () (forall @t246 @t313)) % 208.61/209.03 (define @t315 () (=> @t277 (<= @t303 @t276))) % 208.61/209.03 (define @t316 () (forall @t278 @t315)) % 208.61/209.03 (define @t317 () (@var "Es1" tptp.set_lpvertexcm_vertexrp)) % 208.61/209.03 (define @t318 () (tptp.diff2 tptp.edges @t317)) % 208.61/209.03 (define @t319 () (@var "Result1" tptp.vertex)) % 208.61/209.03 (define @t320 () (@var "Result" tptp.vertex)) % 208.61/209.03 (define @t321 () (tptp.tuple22 @t320 @t319)) % 208.61/209.03 (define @t322 () (tptp.add2 @t321 @t318)) % 208.61/209.03 (define @t323 () (tptp.mem2 @t279 @t322)) % 208.61/209.03 (define @t324 () (=> @t323 @t316)) % 208.61/209.03 (define @t325 () (forall @t247 @t324)) % 208.61/209.03 (define @t326 () (=> @t236 (<= @t303 @t69))) % 208.61/209.03 (define @t327 () (forall @t70 @t326)) % 208.61/209.03 (define @t328 () (and (= @t309 tptp.infinite) @t327 @t325)) % 208.61/209.03 (define @t329 () (=> @t323 @t288)) % 208.61/209.03 (define @t330 () (=> @t304 @t329)) % 208.61/209.03 (define @t331 () (=> @t290 @t330)) % 208.61/209.03 (define @t332 () (forall @t291 @t331)) % 208.61/209.03 (define @t333 () (=> @t304 @t293)) % 208.61/209.03 (define @t334 () (=> @t236 @t333)) % 208.61/209.03 (define @t335 () (forall @t70 @t334)) % 208.61/209.03 (define @t336 () (and @t310 @t297 @t335 @t332)) % 208.61/209.03 (define @t337 () (exists @t264 @t336)) % 208.61/209.03 (define @t338 () (or @t337 @t328)) % 208.61/209.03 (define @t339 () (=> @t244 @t338)) % 208.61/209.03 (define @t340 () (forall @t246 @t339)) % 208.61/209.03 (define @t341 () (=> @t340 @t314)) % 208.61/209.03 (define @t342 () (@list @t308)) % 208.61/209.03 (define @t343 () (forall @t342 @t341)) % 208.61/209.03 (define @t344 () (tptp.mem2 @t279 @t318)) % 208.61/209.03 (define @t345 () (=> @t344 @t316)) % 208.61/209.03 (define @t346 () (forall @t247 @t345)) % 208.61/209.03 (define @t347 () (@var "M1" tptp.map_vertex_t19)) % 208.61/209.03 (define @t348 () (tptp.get1 @t347 @t232)) % 208.61/209.03 (define @t349 () (and (= @t348 tptp.infinite) @t327 @t346)) % 208.61/209.03 (define @t350 () (=> @t344 @t288)) % 208.61/209.03 (define @t351 () (=> @t304 @t350)) % 208.61/209.03 (define @t352 () (=> @t290 @t351)) % 208.61/209.03 (define @t353 () (forall @t291 @t352)) % 208.61/209.03 (define @t354 () (and (= @t348 @t260) @t297 @t335 @t353)) % 208.61/209.03 (define @t355 () (exists @t264 @t354)) % 208.61/209.03 (define @t356 () (or @t355 @t349)) % 208.61/209.03 (define @t357 () (=> @t244 @t356)) % 208.61/209.03 (define @t358 () (forall @t246 @t357)) % 208.61/209.03 (define @t359 () (tptp.mem2 @t321 @t318)) % 208.61/209.03 (define @t360 () (not @t359)) % 208.61/209.03 (define @t361 () (tptp.mem2 @t321 tptp.edges)) % 208.61/209.03 (define @t362 () (= 1 @t303)) % 208.61/209.03 (define @t363 () (or (< 1 @t303) @t362)) % 208.61/209.03 (define @t364 () (and @t363 @t361 @t360 @t358)) % 208.61/209.03 (define @t365 () (=> @t364 @t343)) % 208.61/209.03 (define @t366 () (tptp.remove2 @t321 @t317)) % 208.61/209.03 (define @t367 () (= @t299 @t366)) % 208.61/209.03 (define @t368 () (tptp.mem2 @t321 @t317)) % 208.61/209.03 (define @t369 () (and @t368 @t367)) % 208.61/209.03 (define @t370 () (=> @t369 @t365)) % 208.61/209.03 (define @t371 () (@list @t299 @t320 @t319)) % 208.61/209.03 (define @t372 () (forall @t371 @t370)) % 208.61/209.03 (define @t373 () (tptp.mem2 @t80 @t317)) % 208.61/209.03 (define @t374 () (not @t373)) % 208.61/209.03 (define @t375 () (forall @t84 @t374)) % 208.61/209.03 (define @t376 () (not @t375)) % 208.61/209.03 (define @t377 () (=> @t376 @t372)) % 208.61/209.03 (define @t378 () (@var "O" tptp.bool)) % 208.61/209.03 (define @t379 () (= @t378 tptp.true)) % 208.61/209.03 (define @t380 () (not @t379)) % 208.61/209.03 (define @t381 () (=> @t380 @t377)) % 208.61/209.03 (define @t382 () (= @t379 @t375)) % 208.61/209.03 (define @t383 () (=> @t382 @t381)) % 208.61/209.03 (define @t384 () (@list @t378)) % 208.61/209.03 (define @t385 () (forall @t384 @t383)) % 208.61/209.03 (define @t386 () (tptp.mem2 @t80 tptp.edges)) % 208.61/209.03 (define @t387 () (forall @t84 (=> @t373 @t386))) % 208.61/209.03 (define @t388 () (and @t387 @t358)) % 208.61/209.03 (define @t389 () (=> @t388 @t385)) % 208.61/209.03 (define @t390 () (@list @t317 @t347)) % 208.61/209.03 (define @t391 () (forall @t390 @t389)) % 208.61/209.03 (define @t392 () (@var "Es" tptp.set_lpvertexcm_vertexrp)) % 208.61/209.03 (define @t393 () (= @t392 tptp.edges)) % 208.61/209.03 (define @t394 () (=> @t393 @t391)) % 208.61/209.03 (define @t395 () (@list @t392)) % 208.61/209.03 (define @t396 () (forall @t395 @t394)) % 208.61/209.03 (define @t397 () (tptp.mem2 @t279 tptp.empty2)) % 208.61/209.03 (define @t398 () (=> @t397 @t316)) % 208.61/209.03 (define @t399 () (forall @t247 @t398)) % 208.61/209.03 (define @t400 () (and @t284 @t327 @t399)) % 208.61/209.03 (define @t401 () (=> @t397 @t288)) % 208.61/209.03 (define @t402 () (=> @t304 @t401)) % 208.61/209.03 (define @t403 () (=> @t290 @t402)) % 208.61/209.04 (define @t404 () (forall @t291 @t403)) % 208.61/209.04 (define @t405 () (and @t298 @t297 @t335 @t404)) % 208.61/209.04 (define @t406 () (exists @t264 @t405)) % 208.61/209.04 (define @t407 () (or @t406 @t400)) % 208.61/209.04 (define @t408 () (=> @t244 @t407)) % 208.61/209.04 (define @t409 () (forall @t246 @t408)) % 208.61/209.04 (define @t410 () (=> @t409 @t396)) % 208.61/209.04 (define @t411 () (- @t179 1)) % 208.61/209.04 (define @t412 () (= @t303 @t411)) % 208.61/209.04 (define @t413 () (or (< @t303 @t411) @t412)) % 208.61/209.04 (define @t414 () (and @t363 @t413)) % 208.61/209.04 (define @t415 () (=> @t414 @t410)) % 208.61/209.04 (define @t416 () (@list @t31 @t303)) % 208.61/209.04 (define @t417 () (forall @t416 @t415)) % 208.61/209.04 (define @t418 () (= 1 @t411)) % 208.61/209.04 (define @t419 () (or (< 1 @t411) @t418)) % 208.61/209.04 (define @t420 () (=> @t419 @t417)) % 208.61/209.04 (define @t421 () (not @t420)) % 208.61/209.04 (define @t422 () (@var "BOUND_VARIABLE_11785" tptp.bool)) % 208.61/209.04 (define @t423 () (= tptp.true @t422)) % 208.61/209.04 (define @t424 () (@var "BOUND_VARIABLE_11765" tptp.set_lpvertexcm_vertexrp)) % 208.61/209.04 (define @t425 () (not (tptp.mem2 @t80 @t424))) % 208.61/209.04 (define @t426 () (= (not (forall @t84 @t425)) @t423)) % 208.61/209.04 (define @t427 () (@var "BOUND_VARIABLE_11777" tptp.vertex)) % 208.61/209.04 (define @t428 () (@var "BOUND_VARIABLE_11781" tptp.vertex)) % 208.61/209.04 (define @t429 () (@var "BOUND_VARIABLE_11783" tptp.list_vertex)) % 208.61/209.04 (define @t430 () (@var "BOUND_VARIABLE_11779" Int)) % 208.61/209.04 (define @t431 () (not (>= (+ @t430 (* -1 (tptp.path_weight @t429 @t428)) (* -1 (tptp.weight @t428 @t427))) 1))) % 208.61/209.04 (define @t432 () (@var "BOUND_VARIABLE_11773" tptp.vertex)) % 208.61/209.04 (define @t433 () (@var "BOUND_VARIABLE_11771" tptp.vertex)) % 208.61/209.04 (define @t434 () (tptp.tuple22 @t433 @t432)) % 208.61/209.04 (define @t435 () (not (tptp.mem2 (tptp.tuple22 @t428 @t427) (tptp.diff2 tptp.edges (tptp.remove2 @t434 @t424))))) % 208.61/209.04 (define @t436 () (not (>= (+ @t303 (* -1 (tptp.length1 @t429))) 1))) % 208.61/209.04 (define @t437 () (not (tptp.path tptp.s @t429 @t428))) % 208.61/209.04 (define @t438 () (@var "BOUND_VARIABLE_11775" tptp.map_vertex_t19)) % 208.61/209.04 (define @t439 () (not (= (tptp.get1 @t438 @t427) (tptp.finite @t430)))) % 208.61/209.04 (define @t440 () (not (tptp.mem1 @t427 tptp.vertices))) % 208.61/209.04 (define @t441 () (@var "BOUND_VARIABLE_11410" tptp.list_vertex)) % 208.61/209.04 (define @t442 () (* -1 (tptp.length1 @t441))) % 208.61/209.04 (define @t443 () (not (>= (+ @t303 @t442) 1))) % 208.61/209.04 (define @t444 () (@var "BOUND_VARIABLE_11408" tptp.vertex)) % 208.61/209.04 (define @t445 () (not (tptp.path tptp.s @t441 @t444))) % 208.61/209.04 (define @t446 () (tptp.diff2 tptp.edges @t424)) % 208.61/209.04 (define @t447 () (tptp.add2 @t434 @t446)) % 208.61/209.04 (define @t448 () (tptp.tuple22 @t444 @t232)) % 208.61/209.04 (define @t449 () (@var "BOUND_VARIABLE_11398" tptp.list_vertex)) % 208.61/209.04 (define @t450 () (* -1 (tptp.length1 @t449))) % 208.61/209.04 (define @t451 () (not (tptp.path tptp.s @t449 @t232))) % 208.61/209.04 (define @t452 () (or @t451 (not (>= (+ @t303 @t450) 1)))) % 208.61/209.04 (define @t453 () (tptp.get1 @t438 @t232)) % 208.61/209.04 (define @t454 () (@var "BOUND_VARIABLE_11314" tptp.list_vertex)) % 208.61/209.04 (define @t455 () (not (tptp.path tptp.s @t454 @t232))) % 208.61/209.04 (define @t456 () (tptp.path_weight @t454 @t232)) % 208.61/209.04 (define @t457 () (* -1 @t456)) % 208.61/209.04 (define @t458 () (+ @t286 @t285 @t457)) % 208.61/209.04 (define @t459 () (>= @t458 0)) % 208.61/209.04 (define @t460 () (* -1 @t69)) % 208.61/209.04 (define @t461 () (+ @t303 @t460)) % 208.61/209.04 (define @t462 () (>= @t461 1)) % 208.61/209.04 (define @t463 () (not @t462)) % 208.61/209.04 (define @t464 () (not @t290)) % 208.61/209.04 (define @t465 () (+ @t249 @t457)) % 208.61/209.04 (define @t466 () (>= @t465 0)) % 208.61/209.04 (define @t467 () (not @t236)) % 208.61/209.04 (define @t468 () (not (forall @t70 (or @t467 @t463 @t466)))) % 208.61/209.04 (define @t469 () (tptp.finite @t456)) % 208.61/209.04 (define @t470 () (@list @t454)) % 208.61/209.04 (define @t471 () (not @t244)) % 208.61/209.04 (define @t472 () (@list @t232 @t449 @t444 @t441)) % 208.61/209.04 (define @t473 () (not (forall @t472 (or @t471 (not (forall @t470 (or (not (= @t469 @t453)) @t468 (not (forall @t291 (or @t464 @t463 (not (tptp.mem2 @t279 @t447)) @t459))) @t455))) (and (= tptp.infinite @t453) @t452 (or (not (tptp.mem2 @t448 @t447)) @t445 @t443)))))) % 208.61/209.04 (define @t474 () (tptp.mem2 @t434 @t446)) % 208.61/209.04 (define @t475 () (not (tptp.mem2 @t434 tptp.edges))) % 208.61/209.04 (define @t476 () (not (tptp.mem2 @t434 @t424))) % 208.61/209.04 (define @t477 () (@var "BOUND_VARIABLE_11769" tptp.lpvertexcm_vertexrp)) % 208.61/209.04 (define @t478 () (not (tptp.mem2 @t477 @t424))) % 208.61/209.04 (define @t479 () (@var "BOUND_VARIABLE_11272" tptp.list_vertex)) % 208.61/209.04 (define @t480 () (* -1 (tptp.length1 @t479))) % 208.61/209.04 (define @t481 () (not (>= (+ @t303 @t480) 1))) % 208.61/209.04 (define @t482 () (@var "BOUND_VARIABLE_11270" tptp.vertex)) % 208.61/209.04 (define @t483 () (not (tptp.path tptp.s @t479 @t482))) % 208.61/209.04 (define @t484 () (tptp.tuple22 @t482 @t232)) % 208.61/209.04 (define @t485 () (@var "BOUND_VARIABLE_11260" tptp.list_vertex)) % 208.61/209.04 (define @t486 () (* -1 (tptp.length1 @t485))) % 208.61/209.04 (define @t487 () (not (tptp.path tptp.s @t485 @t232))) % 208.61/209.04 (define @t488 () (or @t487 (not (>= (+ @t303 @t486) 1)))) % 208.61/209.04 (define @t489 () (@var "BOUND_VARIABLE_11767" tptp.map_vertex_t19)) % 208.61/209.04 (define @t490 () (tptp.get1 @t489 @t232)) % 208.61/209.04 (define @t491 () (and (= tptp.infinite @t490) @t488 (or (not (tptp.mem2 @t484 @t446)) @t483 @t481))) % 208.61/209.04 (define @t492 () (@var "BOUND_VARIABLE_11176" tptp.list_vertex)) % 208.61/209.04 (define @t493 () (not (tptp.path tptp.s @t492 @t232))) % 208.61/209.04 (define @t494 () (tptp.path_weight @t492 @t232)) % 208.61/209.04 (define @t495 () (* -1 @t494)) % 208.61/209.04 (define @t496 () (+ @t286 @t285 @t495)) % 208.61/209.04 (define @t497 () (>= @t496 0)) % 208.61/209.04 (define @t498 () (not (forall @t291 (or @t464 @t463 (not (tptp.mem2 @t279 @t446)) @t497)))) % 208.61/209.04 (define @t499 () (+ @t249 @t495)) % 208.61/209.04 (define @t500 () (>= @t499 0)) % 208.61/209.04 (define @t501 () (not (forall @t70 (or @t467 @t463 @t500)))) % 208.61/209.04 (define @t502 () (tptp.finite @t494)) % 208.61/209.04 (define @t503 () (not (= @t490 @t502))) % 208.61/209.04 (define @t504 () (or @t503 @t501 @t498 @t493)) % 208.61/209.04 (define @t505 () (@list @t492)) % 208.61/209.04 (define @t506 () (forall @t505 @t504)) % 208.61/209.04 (define @t507 () (not @t506)) % 208.61/209.04 (define @t508 () (or @t471 @t507 @t491)) % 208.61/209.04 (define @t509 () (@list @t232 @t485 @t482 @t479)) % 208.61/209.04 (define @t510 () (forall @t509 @t508)) % 208.61/209.04 (define @t511 () (not @t510)) % 208.61/209.04 (define @t512 () (not (forall @t84 (or @t425 @t386)))) % 208.61/209.04 (define @t513 () (@var "BOUND_VARIABLE_11137" tptp.list_vertex)) % 208.61/209.04 (define @t514 () (* -1 (tptp.length1 @t513))) % 208.61/209.04 (define @t515 () (@var "BOUND_VARIABLE_11135" tptp.vertex)) % 208.61/209.04 (define @t516 () (not (tptp.path tptp.s @t513 @t515))) % 208.61/209.04 (define @t517 () (not (tptp.mem2 (tptp.tuple22 @t515 @t232) tptp.empty2))) % 208.61/209.04 (define @t518 () (or @t517 @t516 (not (>= (+ @t303 @t514) 1)))) % 208.61/209.04 (define @t519 () (@var "BOUND_VARIABLE_11125" tptp.list_vertex)) % 208.61/209.04 (define @t520 () (* -1 (tptp.length1 @t519))) % 208.61/209.04 (define @t521 () (not (tptp.path tptp.s @t519 @t232))) % 208.61/209.04 (define @t522 () (or @t521 (not (>= (+ @t303 @t520) 1)))) % 208.61/209.04 (define @t523 () (= tptp.infinite @t283)) % 208.61/209.04 (define @t524 () (and @t523 @t522 @t518)) % 208.61/209.04 (define @t525 () (@var "BOUND_VARIABLE_11031" tptp.list_vertex)) % 208.61/209.04 (define @t526 () (not (tptp.path tptp.s @t525 @t232))) % 208.61/209.04 (define @t527 () (tptp.path_weight @t525 @t232)) % 208.61/209.04 (define @t528 () (* -1 @t527)) % 208.61/209.04 (define @t529 () (+ @t286 @t285 @t528)) % 208.61/209.04 (define @t530 () (>= @t529 0)) % 208.61/209.04 (define @t531 () (not @t397)) % 208.61/209.04 (define @t532 () (not (forall @t291 (or @t464 @t463 @t531 @t530)))) % 208.61/209.04 (define @t533 () (+ @t249 @t528)) % 208.61/209.04 (define @t534 () (>= @t533 0)) % 208.61/209.04 (define @t535 () (not (forall @t70 (or @t467 @t463 @t534)))) % 208.61/209.04 (define @t536 () (tptp.finite @t527)) % 208.61/209.04 (define @t537 () (not (= @t283 @t536))) % 208.61/209.04 (define @t538 () (or @t537 @t535 @t532 @t526)) % 208.61/209.04 (define @t539 () (@list @t525)) % 208.61/209.04 (define @t540 () (not (forall @t539 @t538))) % 208.61/209.04 (define @t541 () (or @t471 @t540 @t524)) % 208.61/209.04 (define @t542 () (@list @t232 @t519 @t515 @t513)) % 208.61/209.04 (define @t543 () (forall @t542 @t541)) % 208.61/209.04 (define @t544 () (not @t543)) % 208.61/209.04 (define @t545 () (+ -1 @t179)) % 208.61/209.04 (define @t546 () (= @t303 @t545)) % 208.61/209.04 (define @t547 () (not @t546)) % 208.61/209.04 (define @t548 () (* -1 @t179)) % 208.61/209.04 (define @t549 () (+ @t303 @t548)) % 208.61/209.04 (define @t550 () (>= @t549 -1)) % 208.61/209.04 (define @t551 () (and @t550 @t547)) % 208.61/209.04 (define @t552 () (= @t303 1)) % 208.61/209.04 (define @t553 () (>= @t303 2)) % 208.61/209.04 (define @t554 () (and (not @t553) (not @t552))) % 208.61/209.04 (define @t555 () (or @t554 @t551 @t544 @t512 @t511 @t478 @t476 @t475 @t474 @t473 @t440 @t439 @t437 @t436 @t435 @t431 @t426 @t423)) % 208.61/209.04 (define @t556 () (or @t512 @t511 @t478 @t476 @t475 @t474 @t473 @t440 @t439 @t437 @t436 @t435 @t431 @t426 @t423)) % 208.61/209.04 (define @t557 () (or @t554 @t551 @t544 @t556)) % 208.61/209.04 (define @t558 () (@list @t31 @t303 @t424 @t489 @t477 @t433 @t432 @t438 @t427 @t430 @t428 @t429 @t422)) % 208.61/209.04 (define @t559 () (forall @t558 @t557)) % 208.61/209.04 (define @t560 () (@list @t424 @t489 @t477 @t433 @t432 @t438 @t427 @t430 @t428 @t429 @t422)) % 208.61/209.04 (define @t561 () (forall @t560 @t557)) % 208.61/209.04 (define @t562 () (forall @t560 @t556)) % 208.61/209.04 (define @t563 () (@var "BOUND_VARIABLE_11732" tptp.bool)) % 208.61/209.04 (define @t564 () (@var "BOUND_VARIABLE_11678" tptp.list_vertex)) % 208.61/209.04 (define @t565 () (@var "BOUND_VARIABLE_11676" tptp.vertex)) % 208.61/209.04 (define @t566 () (@var "BOUND_VARIABLE_11674" Int)) % 208.61/209.04 (define @t567 () (@var "BOUND_VARIABLE_11672" tptp.vertex)) % 208.61/209.04 (define @t568 () (@var "BOUND_VARIABLE_11670" tptp.map_vertex_t19)) % 208.61/209.04 (define @t569 () (@var "BOUND_VARIABLE_11668" tptp.vertex)) % 208.61/209.04 (define @t570 () (@var "BOUND_VARIABLE_11666" tptp.vertex)) % 208.61/209.04 (define @t571 () (@var "BOUND_VARIABLE_11662" tptp.lpvertexcm_vertexrp)) % 208.61/209.04 (define @t572 () (or @t554 @t551 @t544 @t562)) % 208.61/209.04 (define @t573 () (= tptp.true @t563)) % 208.61/209.04 (define @t574 () (= @t376 @t573)) % 208.61/209.04 (define @t575 () (not (>= (+ @t566 (* -1 (tptp.path_weight @t564 @t565)) (* -1 (tptp.weight @t565 @t567))) 1))) % 208.61/209.04 (define @t576 () (tptp.tuple22 @t570 @t569)) % 208.61/209.04 (define @t577 () (not (tptp.mem2 (tptp.tuple22 @t565 @t567) (tptp.diff2 tptp.edges (tptp.remove2 @t576 @t317))))) % 208.61/209.04 (define @t578 () (not (>= (+ @t303 (* -1 (tptp.length1 @t564))) 1))) % 208.61/209.04 (define @t579 () (not (tptp.path tptp.s @t564 @t565))) % 208.61/209.04 (define @t580 () (not (= (tptp.get1 @t568 @t567) (tptp.finite @t566)))) % 208.61/209.04 (define @t581 () (not (tptp.mem1 @t567 tptp.vertices))) % 208.61/209.04 (define @t582 () (tptp.add2 @t576 @t318)) % 208.61/209.04 (define @t583 () (tptp.get1 @t568 @t232)) % 208.61/209.04 (define @t584 () (not (forall @t472 (or @t471 (not (forall @t470 (or (not (= @t469 @t583)) @t468 (not (forall @t291 (or @t464 @t463 (not (tptp.mem2 @t279 @t582)) @t459))) @t455))) (and (= tptp.infinite @t583) @t452 (or (not (tptp.mem2 @t448 @t582)) @t445 @t443)))))) % 208.61/209.04 (define @t585 () (tptp.mem2 @t576 @t318)) % 208.61/209.04 (define @t586 () (not (tptp.mem2 @t576 tptp.edges))) % 208.61/209.04 (define @t587 () (not (tptp.mem2 @t576 @t317))) % 208.61/209.04 (define @t588 () (not (tptp.mem2 @t571 @t317))) % 208.61/209.04 (define @t589 () (or (not (tptp.mem2 @t484 @t318)) @t483 @t481)) % 208.61/209.04 (define @t590 () (= tptp.infinite @t348)) % 208.61/209.04 (define @t591 () (and @t590 @t488 @t589)) % 208.61/209.04 (define @t592 () (not @t344)) % 208.61/209.04 (define @t593 () (not (forall @t291 (or @t464 @t463 @t592 @t497)))) % 208.61/209.04 (define @t594 () (not (= @t348 @t502))) % 208.61/209.04 (define @t595 () (or @t594 @t501 @t593 @t493)) % 208.61/209.04 (define @t596 () (not (forall @t505 @t595))) % 208.61/209.04 (define @t597 () (or @t471 @t596 @t591)) % 208.61/209.04 (define @t598 () (forall @t509 @t597)) % 208.61/209.04 (define @t599 () (not @t598)) % 208.61/209.04 (define @t600 () (forall @t84 (or @t374 @t386))) % 208.61/209.04 (define @t601 () (not @t600)) % 208.61/209.04 (define @t602 () (or @t601 @t599 @t588 @t587 @t586 @t585 @t584 @t581 @t580 @t579 @t578 @t577 @t575 @t574 @t573)) % 208.61/209.04 (define @t603 () (@list @t317 @t347 @t571 @t570 @t569 @t568 @t567 @t566 @t565 @t564 @t563)) % 208.61/209.04 (define @t604 () (forall @t603 @t602)) % 208.61/209.04 (define @t605 () (or @t554 @t551 @t544 @t604)) % 208.61/209.04 (define @t606 () (or @t544 @t554 @t604)) % 208.61/209.04 (define @t607 () (or @t554 @t604)) % 208.61/209.04 (define @t608 () (not @t550)) % 208.61/209.04 (define @t609 () (or @t608 @t546)) % 208.61/209.04 (define @t610 () (or @t553 @t552)) % 208.61/209.04 (define @t611 () (not @t610)) % 208.61/209.04 (define @t612 () (=> @t543 @t607)) % 208.61/209.04 (define @t613 () (and @t610 @t609)) % 208.61/209.04 (define @t614 () (not (= tptp.edges tptp.edges))) % 208.61/209.04 (define @t615 () (= tptp.edges @t392)) % 208.61/209.04 (define @t616 () (not @t615)) % 208.61/209.04 (define @t617 () (or @t616 @t616)) % 208.61/209.04 (define @t618 () (forall @t395 @t616)) % 208.61/209.04 (define @t619 () (or @t554 @t604 @t618)) % 208.61/209.04 (define @t620 () (or @t554 @t604 @t616)) % 208.61/209.04 (define @t621 () (or @t616 @t554 @t604)) % 208.61/209.04 (define @t622 () (or @t574 @t573)) % 208.61/209.04 (define @t623 () (or @t587 @t586 @t585 @t584 @t581 @t580 @t579 @t578 @t577 @t575)) % 208.61/209.04 (define @t624 () (or @t601 @t599 @t588 @t623 @t622)) % 208.61/209.04 (define @t625 () (forall @t603 @t624)) % 208.61/209.04 (define @t626 () (forall (@list @t571 @t570 @t569 @t568 @t567 @t566 @t565 @t564 @t563) @t624)) % 208.61/209.04 (define @t627 () (forall (@list @t563) @t622)) % 208.61/209.04 (define @t628 () (forall (@list @t570 @t569 @t568 @t567 @t566 @t565 @t564) @t623)) % 208.61/209.04 (define @t629 () (@var "BOUND_VARIABLE_11576" tptp.list_vertex)) % 208.61/209.04 (define @t630 () (@var "BOUND_VARIABLE_11574" tptp.vertex)) % 208.61/209.04 (define @t631 () (@var "BOUND_VARIABLE_11572" Int)) % 208.61/209.04 (define @t632 () (@var "BOUND_VARIABLE_11570" tptp.vertex)) % 208.61/209.04 (define @t633 () (@var "BOUND_VARIABLE_11568" tptp.map_vertex_t19)) % 208.61/209.04 (define @t634 () (forall (@list @t571) @t588)) % 208.61/209.04 (define @t635 () (or @t601 @t599 @t634 @t628 @t627)) % 208.61/209.04 (define @t636 () (= tptp.true @t378)) % 208.61/209.04 (define @t637 () (= @t376 @t636)) % 208.61/209.04 (define @t638 () (or @t637 @t636)) % 208.61/209.04 (define @t639 () (forall @t384 @t638)) % 208.61/209.04 (define @t640 () (not (>= (+ @t631 (* -1 (tptp.path_weight @t629 @t630)) (* -1 (tptp.weight @t630 @t632))) 1))) % 208.61/209.04 (define @t641 () (tptp.tuple22 @t630 @t632)) % 208.61/209.04 (define @t642 () (not (tptp.mem2 @t641 (tptp.diff2 tptp.edges @t366)))) % 208.61/209.04 (define @t643 () (not (>= (+ @t303 (* -1 (tptp.length1 @t629))) 1))) % 208.61/209.04 (define @t644 () (not (tptp.path tptp.s @t629 @t630))) % 208.61/209.04 (define @t645 () (not (= (tptp.get1 @t633 @t632) (tptp.finite @t631)))) % 208.61/209.04 (define @t646 () (not (tptp.mem1 @t632 tptp.vertices))) % 208.61/209.04 (define @t647 () (or (not (tptp.mem2 @t448 @t322)) @t445 @t443)) % 208.61/209.04 (define @t648 () (tptp.get1 @t633 @t232)) % 208.61/209.04 (define @t649 () (and (= tptp.infinite @t648) @t452 @t647)) % 208.61/209.04 (define @t650 () (not @t323)) % 208.61/209.04 (define @t651 () (not (forall @t291 (or @t464 @t463 @t650 @t459)))) % 208.61/209.04 (define @t652 () (not (forall @t472 (or @t471 (not (forall @t470 (or (not (= @t469 @t648)) @t468 @t651 @t455))) @t649)))) % 208.61/209.04 (define @t653 () (not @t361)) % 208.61/209.04 (define @t654 () (not @t368)) % 208.61/209.04 (define @t655 () (or @t654 @t653 @t359 @t652 @t646 @t645 @t644 @t643 @t642 @t640)) % 208.61/209.04 (define @t656 () (@list @t320 @t319 @t633 @t632 @t631 @t630 @t629)) % 208.61/209.04 (define @t657 () (forall @t656 @t655)) % 208.61/209.04 (define @t658 () (or @t601 @t599 @t375 @t657 @t639)) % 208.61/209.04 (define @t659 () (forall @t390 @t658)) % 208.61/209.04 (define @t660 () (or @t554 @t659)) % 208.61/209.04 (define @t661 () (or @t554 @t658)) % 208.61/209.04 (define @t662 () (or @t601 @t599 @t375 @t554 @t657 @t639)) % 208.61/209.04 (define @t663 () (or @t375 @t554 @t599 @t657 @t639)) % 208.61/209.04 (define @t664 () (and @t600 @t598)) % 208.61/209.04 (define @t665 () (or @t375 @t554 @t599 @t657 @t638)) % 208.61/209.04 (define @t666 () (or @t637 @t636 @t375 @t554 @t599 @t657)) % 208.61/209.04 (define @t667 () (or @t636 @t375 @t554 @t599 @t657)) % 208.61/209.04 (define @t668 () (or @t375 @t554 @t599 @t657)) % 208.61/209.04 (define @t669 () (or @t554 @t599 @t657)) % 208.61/209.04 (define @t670 () (=> @t376 @t669)) % 208.61/209.04 (define @t671 () (not @t636)) % 208.61/209.04 (define @t672 () (=> @t671 @t670)) % 208.61/209.04 (define @t673 () (= @t375 @t636)) % 208.61/209.04 (define @t674 () (not (= @t366 @t366))) % 208.61/209.04 (define @t675 () (or @t654 @t674 @t653 @t359 @t652 @t646 @t645 @t644 @t643 @t642 @t640)) % 208.61/209.04 (define @t676 () (not (tptp.mem2 @t641 @t300))) % 208.61/209.04 (define @t677 () (not @t367)) % 208.61/209.04 (define @t678 () (or @t677 @t654 @t677 @t653 @t359 @t652 @t646 @t645 @t644 @t643 @t676 @t640)) % 208.61/209.04 (define @t679 () (@list @t299)) % 208.61/209.04 (define @t680 () (or @t654 @t677 @t653 @t359 @t652 @t646 @t645 @t644 @t643 @t676 @t640)) % 208.61/209.04 (define @t681 () (forall @t679 @t680)) % 208.61/209.04 (define @t682 () (forall @t656 @t681)) % 208.61/209.04 (define @t683 () (forall (@list @t320 @t319 @t633 @t632 @t631 @t630 @t629 @t299) @t680)) % 208.61/209.04 (define @t684 () (@list @t299 @t320 @t319 @t633 @t632 @t631 @t630 @t629)) % 208.61/209.04 (define @t685 () (not (= @t648 @t469))) % 208.61/209.04 (define @t686 () (or @t685 @t468 @t651 @t455)) % 208.61/209.04 (define @t687 () (forall @t470 @t686)) % 208.61/209.04 (define @t688 () (not @t687)) % 208.61/209.04 (define @t689 () (or @t471 @t688 @t649)) % 208.61/209.04 (define @t690 () (forall @t472 @t689)) % 208.61/209.04 (define @t691 () (not @t690)) % 208.61/209.04 (define @t692 () (or @t654 @t677 @t653 @t359 @t691 @t646 @t645 @t644 @t643 @t676 @t640)) % 208.61/209.04 (define @t693 () (or @t691 @t646 @t645 @t644 @t643 @t676 @t640)) % 208.61/209.04 (define @t694 () (or @t654 @t677 @t653 @t359 @t693)) % 208.61/209.04 (define @t695 () (forall @t684 @t694)) % 208.61/209.04 (define @t696 () (@list @t633 @t632 @t631 @t630 @t629)) % 208.61/209.04 (define @t697 () (forall @t696 @t694)) % 208.61/209.04 (define @t698 () (forall @t696 @t693)) % 208.61/209.04 (define @t699 () (@var "BOUND_VARIABLE_11517" tptp.list_vertex)) % 208.61/209.04 (define @t700 () (@var "BOUND_VARIABLE_11515" tptp.vertex)) % 208.61/209.04 (define @t701 () (@var "BOUND_VARIABLE_11513" Int)) % 208.61/209.04 (define @t702 () (@var "BOUND_VARIABLE_11511" tptp.vertex)) % 208.61/209.04 (define @t703 () (or @t654 @t677 @t653 @t359 @t698)) % 208.61/209.04 (define @t704 () (not (>= (+ @t701 (* -1 (tptp.path_weight @t699 @t700)) (* -1 (tptp.weight @t700 @t702))) 1))) % 208.61/209.04 (define @t705 () (not (tptp.mem2 (tptp.tuple22 @t700 @t702) @t300))) % 208.61/209.04 (define @t706 () (not (>= (+ @t303 (* -1 (tptp.length1 @t699))) 1))) % 208.61/209.04 (define @t707 () (not (tptp.path tptp.s @t699 @t700))) % 208.61/209.04 (define @t708 () (not (= (tptp.get1 @t308 @t702) (tptp.finite @t701)))) % 208.61/209.04 (define @t709 () (not (tptp.mem1 @t702 tptp.vertices))) % 208.61/209.04 (define @t710 () (= tptp.infinite @t309)) % 208.61/209.04 (define @t711 () (and @t710 @t452 @t647)) % 208.61/209.04 (define @t712 () (not (= @t309 @t469))) % 208.61/209.04 (define @t713 () (or @t712 @t468 @t651 @t455)) % 208.61/209.04 (define @t714 () (not (forall @t470 @t713))) % 208.61/209.04 (define @t715 () (or @t471 @t714 @t711)) % 208.61/209.04 (define @t716 () (forall @t472 @t715)) % 208.61/209.04 (define @t717 () (not @t716)) % 208.61/209.04 (define @t718 () (or @t717 @t709 @t708 @t707 @t706 @t705 @t704)) % 208.61/209.04 (define @t719 () (@list @t308 @t702 @t701 @t700 @t699)) % 208.61/209.04 (define @t720 () (forall @t719 @t718)) % 208.61/209.04 (define @t721 () (or @t654 @t677 @t653 @t359 @t720)) % 208.61/209.04 (define @t722 () (forall @t371 @t721)) % 208.61/209.04 (define @t723 () (or @t554 @t599 @t722)) % 208.61/209.04 (define @t724 () (or @t554 @t599 @t721)) % 208.61/209.04 (define @t725 () (or @t654 @t677 @t554 @t653 @t359 @t599 @t720)) % 208.61/209.04 (define @t726 () (or @t554 @t653 @t359 @t599 @t720)) % 208.61/209.04 (define @t727 () (not @t360)) % 208.61/209.04 (define @t728 () (or @t611 @t653 @t727 @t599)) % 208.61/209.04 (define @t729 () (and @t610 @t361 @t360 @t598)) % 208.61/209.04 (define @t730 () (=> @t729 @t720)) % 208.61/209.04 (define @t731 () (or @t709 @t708 @t707 @t706 @t705 @t704)) % 208.61/209.04 (define @t732 () (or @t717 @t731)) % 208.61/209.04 (define @t733 () (forall @t719 @t732)) % 208.61/209.04 (define @t734 () (@list @t702 @t701 @t700 @t699)) % 208.61/209.04 (define @t735 () (forall @t734 @t732)) % 208.61/209.04 (define @t736 () (forall @t734 @t731)) % 208.61/209.04 (define @t737 () (@var "BOUND_VARIABLE_11475" tptp.list_vertex)) % 208.61/209.04 (define @t738 () (@var "BOUND_VARIABLE_11473" tptp.vertex)) % 208.61/209.04 (define @t739 () (@var "BOUND_VARIABLE_11471" Int)) % 208.61/209.04 (define @t740 () (or @t717 @t736)) % 208.61/209.04 (define @t741 () (not (>= (+ @t739 (* -1 (tptp.path_weight @t737 @t738)) (* -1 (tptp.weight @t738 @t232))) 1))) % 208.61/209.04 (define @t742 () (not (tptp.mem2 (tptp.tuple22 @t738 @t232) @t300))) % 208.61/209.04 (define @t743 () (not (>= (+ @t303 (* -1 (tptp.length1 @t737))) 1))) % 208.61/209.04 (define @t744 () (not (tptp.path tptp.s @t737 @t738))) % 208.61/209.04 (define @t745 () (tptp.finite @t739)) % 208.61/209.04 (define @t746 () (@list @t232 @t739 @t738 @t737)) % 208.61/209.04 (define @t747 () (forall @t746 (or @t471 (not (= @t309 @t745)) @t744 @t743 @t742 @t741))) % 208.61/209.04 (define @t748 () (not (= @t745 @t309))) % 208.61/209.04 (define @t749 () (or @t471 @t748 @t744 @t743 @t742 @t741)) % 208.61/209.04 (define @t750 () (or @t748 @t744 @t743 @t742 @t741)) % 208.61/209.04 (define @t751 () (or @t471 @t750)) % 208.61/209.04 (define @t752 () (forall @t746 @t751)) % 208.61/209.04 (define @t753 () (@list @t739 @t738 @t737)) % 208.61/209.04 (define @t754 () (forall @t753 @t751)) % 208.61/209.04 (define @t755 () (forall @t753 @t750)) % 208.61/209.04 (define @t756 () (@var "BOUND_VARIABLE_11442" tptp.list_vertex)) % 208.61/209.04 (define @t757 () (@var "BOUND_VARIABLE_11440" tptp.vertex)) % 208.61/209.04 (define @t758 () (or @t471 @t755)) % 208.61/209.04 (define @t759 () (not (>= (+ @t45 (* -1 (tptp.path_weight @t756 @t757)) (* -1 (tptp.weight @t757 @t232))) 1))) % 208.61/209.04 (define @t760 () (not (tptp.mem2 (tptp.tuple22 @t757 @t232) @t300))) % 208.61/209.04 (define @t761 () (not (>= (+ @t303 (* -1 (tptp.length1 @t756))) 1))) % 208.61/209.04 (define @t762 () (not (tptp.path tptp.s @t756 @t757))) % 208.61/209.04 (define @t763 () (= @t260 @t309)) % 208.61/209.04 (define @t764 () (not @t763)) % 208.61/209.04 (define @t765 () (or @t764 @t762 @t761 @t760 @t759)) % 208.61/209.04 (define @t766 () (@list @t45 @t757 @t756)) % 208.61/209.04 (define @t767 () (forall @t766 @t765)) % 208.61/209.04 (define @t768 () (or @t762 @t761 @t760 @t759)) % 208.61/209.04 (define @t769 () (or @t764 @t768)) % 208.61/209.04 (define @t770 () (forall @t766 @t769)) % 208.61/209.04 (define @t771 () (@list @t757 @t756)) % 208.61/209.04 (define @t772 () (forall @t771 @t769)) % 208.61/209.04 (define @t773 () (forall @t771 @t768)) % 208.61/209.04 (define @t774 () (or @t764 @t773)) % 208.61/209.04 (define @t775 () (* -1 @t285)) % 208.61/209.04 (define @t776 () (* -1 @t286)) % 208.61/209.04 (define @t777 () (+ @t45 @t776 @t775)) % 208.61/209.04 (define @t778 () (>= @t777 1)) % 208.61/209.04 (define @t779 () (not @t778)) % 208.61/209.04 (define @t780 () (not @t301)) % 208.61/209.04 (define @t781 () (or @t464 @t463 @t780 @t779)) % 208.61/209.04 (define @t782 () (forall @t291 @t781)) % 208.61/209.04 (define @t783 () (or @t463 @t780 @t779)) % 208.61/209.04 (define @t784 () (=> @t301 @t779)) % 208.61/209.04 (define @t785 () (=> @t462 @t784)) % 208.61/209.04 (define @t786 () (+ @t287 1)) % 208.61/209.04 (define @t787 () (>= @t45 @t786)) % 208.61/209.04 (define @t788 () (+ @t461 1)) % 208.61/209.04 (define @t789 () (>= @t69 @t303)) % 208.61/209.04 (define @t790 () (@list @t449 @t444 @t441)) % 208.61/209.04 (define @t791 () (forall @t790 @t715)) % 208.61/209.04 (define @t792 () (forall (@list @t444 @t441) @t647)) % 208.61/209.04 (define @t793 () (@var "BOUND_VARIABLE_11377" tptp.list_vertex)) % 208.61/209.04 (define @t794 () (forall @t790 @t647)) % 208.61/209.04 (define @t795 () (forall (@list @t449) @t452)) % 208.61/209.04 (define @t796 () (@list @t68)) % 208.61/209.04 (define @t797 () (forall @t790 @t452)) % 208.61/209.04 (define @t798 () (forall @t790 @t710)) % 208.61/209.04 (define @t799 () (and @t798 @t797 @t794)) % 208.61/209.04 (define @t800 () (forall @t790 @t711)) % 208.61/209.04 (define @t801 () (or @t471 @t714 @t800)) % 208.61/209.04 (define @t802 () (not (>= (+ @t303 (* -1 (tptp.length1 @t793))) 1))) % 208.61/209.04 (define @t803 () (not (tptp.path tptp.s @t793 @t166))) % 208.61/209.04 (define @t804 () (or @t650 @t803 @t802)) % 208.61/209.04 (define @t805 () (@list @t166 @t793)) % 208.61/209.04 (define @t806 () (forall @t70 (or @t467 @t463))) % 208.61/209.04 (define @t807 () (and @t710 @t806 (forall @t805 @t804))) % 208.61/209.04 (define @t808 () (or @t471 @t714 @t807)) % 208.61/209.04 (define @t809 () (or @t714 @t807)) % 208.61/209.04 (define @t810 () (or @t803 @t802)) % 208.61/209.04 (define @t811 () (or @t650 @t810)) % 208.61/209.04 (define @t812 () (forall @t805 @t811)) % 208.61/209.04 (define @t813 () (@list @t793)) % 208.61/209.04 (define @t814 () (forall @t813 @t811)) % 208.61/209.04 (define @t815 () (forall @t813 @t810)) % 208.61/209.04 (define @t816 () (@list @t275)) % 208.61/209.04 (define @t817 () (or @t650 @t815)) % 208.61/209.04 (define @t818 () (+ @t303 (* -1 @t276))) % 208.61/209.04 (define @t819 () (>= @t818 1)) % 208.61/209.04 (define @t820 () (not @t819)) % 208.61/209.04 (define @t821 () (forall @t278 (or (not @t277) @t820))) % 208.61/209.04 (define @t822 () (+ @t276 1)) % 208.61/209.04 (define @t823 () (>= @t303 @t822)) % 208.61/209.04 (define @t824 () (+ @t69 1)) % 208.61/209.04 (define @t825 () (>= @t303 @t824)) % 208.61/209.04 (define @t826 () (not (= @t456 @t456))) % 208.61/209.04 (define @t827 () (+ @t776 @t775 @t456)) % 208.61/209.04 (define @t828 () (+ @t458 1)) % 208.61/209.04 (define @t829 () (+ @t456 @t776 @t775)) % 208.61/209.04 (define @t830 () (>= @t829 1)) % 208.61/209.04 (define @t831 () (not @t830)) % 208.61/209.04 (define @t832 () (or @t464 @t463 @t650 @t831)) % 208.61/209.04 (define @t833 () (forall @t291 @t832)) % 208.61/209.04 (define @t834 () (not @t833)) % 208.61/209.04 (define @t835 () (* -1 @t249)) % 208.61/209.04 (define @t836 () (+ @t835 @t456)) % 208.61/209.04 (define @t837 () (+ @t465 1)) % 208.61/209.04 (define @t838 () (+ @t456 @t835)) % 208.61/209.04 (define @t839 () (>= @t838 1)) % 208.61/209.04 (define @t840 () (not @t839)) % 208.61/209.04 (define @t841 () (or @t467 @t463 @t840)) % 208.61/209.04 (define @t842 () (forall @t70 @t841)) % 208.61/209.04 (define @t843 () (not @t842)) % 208.61/209.04 (define @t844 () (not (= @t469 @t309))) % 208.61/209.04 (define @t845 () (or @t844 @t843 @t834 @t455 @t826)) % 208.61/209.04 (define @t846 () (not (= @t45 @t456))) % 208.61/209.04 (define @t847 () (or @t464 @t463 @t650 @t779)) % 208.61/209.04 (define @t848 () (forall @t291 @t847)) % 208.61/209.04 (define @t849 () (not @t848)) % 208.61/209.04 (define @t850 () (+ @t45 @t835)) % 208.61/209.04 (define @t851 () (>= @t850 1)) % 208.61/209.04 (define @t852 () (not @t851)) % 208.61/209.04 (define @t853 () (or @t467 @t463 @t852)) % 208.61/209.04 (define @t854 () (forall @t70 @t853)) % 208.61/209.04 (define @t855 () (not @t854)) % 208.61/209.04 (define @t856 () (or @t846 @t764 @t855 @t849 @t455 @t846)) % 208.61/209.04 (define @t857 () (or @t764 @t855 @t849 @t455 @t846)) % 208.61/209.04 (define @t858 () (forall @t264 @t857)) % 208.61/209.04 (define @t859 () (forall @t470 @t858)) % 208.61/209.04 (define @t860 () (forall (@list @t454 @t45) @t857)) % 208.61/209.04 (define @t861 () (@list @t45 @t454)) % 208.61/209.04 (define @t862 () (or @t455 @t846)) % 208.61/209.04 (define @t863 () (or @t764 @t862 @t855 @t849)) % 208.61/209.04 (define @t864 () (forall @t861 @t863)) % 208.61/209.04 (define @t865 () (forall @t470 @t863)) % 208.61/209.04 (define @t866 () (forall @t470 @t862)) % 208.61/209.04 (define @t867 () (or @t764 @t866 @t855 @t849)) % 208.61/209.04 (define @t868 () (= @t45 @t249)) % 208.61/209.04 (define @t869 () (forall @t70 (or @t467 (not @t868)))) % 208.61/209.04 (define @t870 () (not @t869)) % 208.61/209.04 (define @t871 () (not @t870)) % 208.61/209.04 (define @t872 () (or @t764 @t871 @t855 @t849)) % 208.61/209.04 (define @t873 () (and @t763 @t870 @t854 @t848)) % 208.61/209.04 (define @t874 () (forall @t264 (not @t873))) % 208.61/209.04 (define @t875 () (not @t874)) % 208.61/209.04 (define @t876 () (or @t463 @t650 @t779)) % 208.61/209.04 (define @t877 () (=> @t323 @t779)) % 208.61/209.04 (define @t878 () (=> @t462 @t877)) % 208.61/209.04 (define @t879 () (=> @t462 @t852)) % 208.61/209.04 (define @t880 () (+ @t249 1)) % 208.61/209.04 (define @t881 () (>= @t45 @t880)) % 208.61/209.04 (define @t882 () (and @t236 @t868)) % 208.61/209.04 (define @t883 () (forall @t70 (not @t882))) % 208.61/209.04 (define @t884 () (not @t883)) % 208.61/209.04 (define @t885 () (@list @t485 @t482 @t479)) % 208.61/209.04 (define @t886 () (forall @t885 @t597)) % 208.61/209.04 (define @t887 () (forall (@list @t482 @t479) @t589)) % 208.61/209.04 (define @t888 () (@var "BOUND_VARIABLE_11239" tptp.list_vertex)) % 208.61/209.04 (define @t889 () (forall @t885 @t589)) % 208.61/209.04 (define @t890 () (forall (@list @t485) @t488)) % 208.61/209.04 (define @t891 () (forall @t885 @t488)) % 208.61/209.04 (define @t892 () (forall @t885 @t590)) % 208.61/209.04 (define @t893 () (and @t892 @t891 @t889)) % 208.61/209.04 (define @t894 () (forall @t885 @t591)) % 208.61/209.04 (define @t895 () (or @t471 @t596 @t894)) % 208.61/209.04 (define @t896 () (not (>= (+ @t303 (* -1 (tptp.length1 @t888))) 1))) % 208.61/209.04 (define @t897 () (not (tptp.path tptp.s @t888 @t166))) % 208.61/209.04 (define @t898 () (or @t592 @t897 @t896)) % 208.61/209.04 (define @t899 () (@list @t166 @t888)) % 208.61/209.04 (define @t900 () (and @t590 @t806 (forall @t899 @t898))) % 208.61/209.04 (define @t901 () (or @t471 @t596 @t900)) % 208.61/209.04 (define @t902 () (or @t596 @t900)) % 208.61/209.04 (define @t903 () (or @t897 @t896)) % 208.61/209.04 (define @t904 () (or @t592 @t903)) % 208.61/209.04 (define @t905 () (forall @t899 @t904)) % 208.61/209.04 (define @t906 () (@list @t888)) % 208.61/209.04 (define @t907 () (forall @t906 @t904)) % 208.61/209.04 (define @t908 () (forall @t906 @t903)) % 208.61/209.04 (define @t909 () (or @t592 @t908)) % 208.61/209.04 (define @t910 () (not (= @t494 @t494))) % 208.61/209.04 (define @t911 () (+ @t776 @t775 @t494)) % 208.61/209.04 (define @t912 () (+ @t496 1)) % 208.61/209.04 (define @t913 () (+ @t494 @t776 @t775)) % 208.61/209.04 (define @t914 () (>= @t913 1)) % 208.61/209.04 (define @t915 () (not @t914)) % 208.61/209.04 (define @t916 () (or @t464 @t463 @t592 @t915)) % 208.61/209.04 (define @t917 () (forall @t291 @t916)) % 208.61/209.04 (define @t918 () (not @t917)) % 208.61/209.04 (define @t919 () (+ @t835 @t494)) % 208.61/209.04 (define @t920 () (+ @t499 1)) % 208.61/209.04 (define @t921 () (+ @t494 @t835)) % 208.61/209.04 (define @t922 () (>= @t921 1)) % 208.61/209.04 (define @t923 () (not @t922)) % 208.61/209.04 (define @t924 () (or @t467 @t463 @t923)) % 208.61/209.04 (define @t925 () (forall @t70 @t924)) % 208.61/209.04 (define @t926 () (not @t925)) % 208.61/209.04 (define @t927 () (not (= @t502 @t348))) % 208.61/209.04 (define @t928 () (or @t927 @t926 @t918 @t493 @t910)) % 208.61/209.04 (define @t929 () (not (= @t45 @t494))) % 208.61/209.04 (define @t930 () (or @t464 @t463 @t592 @t779)) % 208.61/209.04 (define @t931 () (forall @t291 @t930)) % 208.61/209.04 (define @t932 () (not @t931)) % 208.61/209.04 (define @t933 () (= @t260 @t348)) % 208.61/209.04 (define @t934 () (not @t933)) % 208.61/209.04 (define @t935 () (or @t929 @t934 @t855 @t932 @t493 @t929)) % 208.61/209.04 (define @t936 () (or @t934 @t855 @t932 @t493 @t929)) % 208.61/209.04 (define @t937 () (forall @t264 @t936)) % 208.61/209.04 (define @t938 () (forall @t505 @t937)) % 208.61/209.04 (define @t939 () (forall (@list @t492 @t45) @t936)) % 208.61/209.04 (define @t940 () (@list @t45 @t492)) % 208.61/209.04 (define @t941 () (or @t493 @t929)) % 208.61/209.04 (define @t942 () (or @t934 @t941 @t855 @t932)) % 208.61/209.04 (define @t943 () (forall @t940 @t942)) % 208.61/209.04 (define @t944 () (forall @t505 @t942)) % 208.61/209.04 (define @t945 () (forall @t505 @t941)) % 208.61/209.04 (define @t946 () (or @t934 @t945 @t855 @t932)) % 208.61/209.04 (define @t947 () (or @t934 @t871 @t855 @t932)) % 208.61/209.04 (define @t948 () (and @t933 @t870 @t854 @t931)) % 208.61/209.04 (define @t949 () (forall @t264 (not @t948))) % 208.61/209.04 (define @t950 () (not @t949)) % 208.61/209.04 (define @t951 () (or @t463 @t592 @t779)) % 208.61/209.04 (define @t952 () (=> @t344 @t779)) % 208.61/209.04 (define @t953 () (=> @t462 @t952)) % 208.61/209.04 (define @t954 () (- 1 @t303)) % 208.61/209.04 (define @t955 () (+ @t303 1)) % 208.61/209.04 (define @t956 () (>= 1 @t303)) % 208.61/209.04 (define @t957 () (@list @t519 @t515 @t513)) % 208.61/209.04 (define @t958 () (forall @t957 @t541)) % 208.61/209.04 (define @t959 () (forall (@list @t515 @t513) @t518)) % 208.61/209.04 (define @t960 () (@var "BOUND_VARIABLE_11104" tptp.list_vertex)) % 208.61/209.04 (define @t961 () (forall @t957 @t518)) % 208.61/209.04 (define @t962 () (forall (@list @t519) @t522)) % 208.61/209.04 (define @t963 () (forall @t957 @t522)) % 208.61/209.04 (define @t964 () (forall @t957 @t523)) % 208.61/209.04 (define @t965 () (and @t964 @t963 @t961)) % 208.61/209.04 (define @t966 () (forall @t957 @t524)) % 208.61/209.04 (define @t967 () (or @t471 @t540 @t966)) % 208.61/209.04 (define @t968 () (not (>= (+ @t303 (* -1 (tptp.length1 @t960))) 1))) % 208.61/209.04 (define @t969 () (not (tptp.path tptp.s @t960 @t166))) % 208.61/209.04 (define @t970 () (or @t531 @t969 @t968)) % 208.61/209.04 (define @t971 () (@list @t166 @t960)) % 208.61/209.04 (define @t972 () (and @t523 @t806 (forall @t971 @t970))) % 208.61/209.04 (define @t973 () (or @t471 @t540 @t972)) % 208.61/209.04 (define @t974 () (or @t540 @t972)) % 208.61/209.04 (define @t975 () (or @t969 @t968)) % 208.61/209.04 (define @t976 () (or @t531 @t975)) % 208.61/209.04 (define @t977 () (forall @t971 @t976)) % 208.61/209.04 (define @t978 () (@list @t960)) % 208.61/209.04 (define @t979 () (forall @t978 @t976)) % 208.61/209.04 (define @t980 () (forall @t978 @t975)) % 208.61/209.04 (define @t981 () (or @t531 @t980)) % 208.61/209.04 (define @t982 () (not (= @t527 @t527))) % 208.61/209.04 (define @t983 () (+ @t776 @t775 @t527)) % 208.61/209.04 (define @t984 () (+ @t529 1)) % 208.61/209.04 (define @t985 () (+ @t527 @t776 @t775)) % 208.61/209.04 (define @t986 () (>= @t985 1)) % 208.61/209.04 (define @t987 () (not @t986)) % 208.61/209.04 (define @t988 () (or @t464 @t463 @t531 @t987)) % 208.61/209.04 (define @t989 () (forall @t291 @t988)) % 208.61/209.04 (define @t990 () (not @t989)) % 208.61/209.04 (define @t991 () (+ @t835 @t527)) % 208.61/209.04 (define @t992 () (+ @t533 1)) % 208.61/209.04 (define @t993 () (+ @t527 @t835)) % 208.61/209.04 (define @t994 () (>= @t993 1)) % 208.61/209.04 (define @t995 () (not @t994)) % 208.61/209.04 (define @t996 () (or @t467 @t463 @t995)) % 208.61/209.04 (define @t997 () (forall @t70 @t996)) % 208.61/209.04 (define @t998 () (not @t997)) % 208.61/209.04 (define @t999 () (not (= @t536 @t283))) % 208.61/209.04 (define @t1000 () (or @t999 @t998 @t990 @t526 @t982)) % 208.61/209.04 (define @t1001 () (not (= @t45 @t527))) % 208.61/209.04 (define @t1002 () (or @t464 @t463 @t531 @t779)) % 208.61/209.04 (define @t1003 () (forall @t291 @t1002)) % 208.61/209.04 (define @t1004 () (not @t1003)) % 208.61/209.04 (define @t1005 () (= @t260 @t283)) % 208.61/209.04 (define @t1006 () (not @t1005)) % 208.61/209.04 (define @t1007 () (or @t1001 @t1006 @t855 @t1004 @t526 @t1001)) % 208.61/209.04 (define @t1008 () (or @t1006 @t855 @t1004 @t526 @t1001)) % 208.61/209.04 (define @t1009 () (forall @t264 @t1008)) % 208.61/209.04 (define @t1010 () (forall @t539 @t1009)) % 208.61/209.04 (define @t1011 () (forall (@list @t525 @t45) @t1008)) % 208.61/209.04 (define @t1012 () (@list @t45 @t525)) % 208.61/209.04 (define @t1013 () (or @t526 @t1001)) % 208.61/209.04 (define @t1014 () (or @t1006 @t1013 @t855 @t1004)) % 208.61/209.04 (define @t1015 () (forall @t1012 @t1014)) % 208.61/209.04 (define @t1016 () (forall @t539 @t1014)) % 208.61/209.04 (define @t1017 () (forall @t539 @t1013)) % 208.61/209.04 (define @t1018 () (or @t1006 @t1017 @t855 @t1004)) % 208.61/209.04 (define @t1019 () (or @t1006 @t871 @t855 @t1004)) % 208.61/209.04 (define @t1020 () (and @t1005 @t870 @t854 @t1003)) % 208.61/209.04 (define @t1021 () (forall @t264 (not @t1020))) % 208.61/209.04 (define @t1022 () (not @t1021)) % 208.61/209.04 (define @t1023 () (or @t463 @t531 @t779)) % 208.61/209.04 (define @t1024 () (=> @t397 @t779)) % 208.61/209.04 (define @t1025 () (=> @t462 @t1024)) % 208.61/209.04 (define @t1026 () (* -1 1)) % 208.61/209.04 (define @t1027 () (+ @t179 @t1026)) % 208.61/209.04 (define @t1028 () (>= @t303 @t411)) % 208.61/209.04 (define @t1029 () (- 1 @t545)) % 208.61/209.04 (define @t1030 () (+ @t179 1)) % 208.61/209.04 (define @t1031 () (>= 1 @t411)) % 208.61/209.04 (define @t1032 () (forall @t558 (or @t554 @t551 @t544 @t512 (not (forall @t509 (or @t471 (not (forall @t505 (or (not (= @t502 @t490)) @t501 @t498 @t493))) @t491))) @t478 @t476 @t475 @t474 @t473 @t440 @t439 @t437 @t436 @t435 @t431 @t426 @t423))) % 208.61/209.04 (define @t1033 () (= tptp.true (@quantifiers_skolemize @t1032 12))) % 208.61/209.04 (define @t1034 () (@quantifiers_skolemize @t1032 2)) % 208.61/209.04 (define @t1035 () (not (tptp.mem2 @t80 @t1034))) % 208.61/209.04 (define @t1036 () (= (not (forall @t84 @t1035)) @t1033)) % 208.61/209.04 (define @t1037 () (@quantifiers_skolemize @t1032 8)) % 208.61/209.04 (define @t1038 () (@quantifiers_skolemize @t1032 10)) % 208.61/209.04 (define @t1039 () (tptp.weight @t1038 @t1037)) % 208.61/209.04 (define @t1040 () (* -1 @t1039)) % 208.61/209.04 (define @t1041 () (@quantifiers_skolemize @t1032 11)) % 208.61/209.04 (define @t1042 () (tptp.path_weight @t1041 @t1038)) % 208.61/209.04 (define @t1043 () (* -1 @t1042)) % 208.61/209.04 (define @t1044 () (@quantifiers_skolemize @t1032 9)) % 208.61/209.04 (define @t1045 () (+ @t1044 @t1043 @t1040)) % 208.61/209.04 (define @t1046 () (>= @t1045 1)) % 208.61/209.04 (define @t1047 () (not @t1046)) % 208.61/209.04 (define @t1048 () (@quantifiers_skolemize @t1032 6)) % 208.61/209.04 (define @t1049 () (@quantifiers_skolemize @t1032 5)) % 208.61/209.04 (define @t1050 () (tptp.tuple22 @t1049 @t1048)) % 208.61/209.04 (define @t1051 () (tptp.remove2 @t1050 @t1034)) % 208.61/209.04 (define @t1052 () (tptp.tuple22 @t1038 @t1037)) % 208.61/209.04 (define @t1053 () (tptp.mem2 @t1052 (tptp.diff2 tptp.edges @t1051))) % 208.61/209.04 (define @t1054 () (not @t1053)) % 208.61/209.04 (define @t1055 () (@quantifiers_skolemize @t1032 1)) % 208.61/209.04 (define @t1056 () (>= (+ @t1055 (* -1 (tptp.length1 @t1041))) 1)) % 208.61/209.04 (define @t1057 () (not @t1056)) % 208.61/209.04 (define @t1058 () (tptp.path tptp.s @t1041 @t1038)) % 208.61/209.04 (define @t1059 () (not @t1058)) % 208.61/209.04 (define @t1060 () (tptp.finite @t1044)) % 208.61/209.04 (define @t1061 () (@quantifiers_skolemize @t1032 7)) % 208.61/209.04 (define @t1062 () (tptp.get1 @t1061 @t1037)) % 208.61/209.04 (define @t1063 () (= @t1062 @t1060)) % 208.61/209.04 (define @t1064 () (not @t1063)) % 208.61/209.04 (define @t1065 () (tptp.mem1 @t1037 tptp.vertices)) % 208.61/209.04 (define @t1066 () (not @t1065)) % 208.61/209.04 (define @t1067 () (tptp.diff2 tptp.edges @t1034)) % 208.61/209.04 (define @t1068 () (tptp.add2 @t1050 @t1067)) % 208.61/209.04 (define @t1069 () (tptp.get1 @t1061 @t232)) % 208.61/209.04 (define @t1070 () (not (>= (+ @t1055 @t460) 1))) % 208.61/209.04 (define @t1071 () (forall @t472 (or @t471 (not (forall @t470 (or (not (= @t469 @t1069)) (not (forall @t70 (or @t467 @t1070 @t466))) (not (forall @t291 (or @t464 @t1070 (not (tptp.mem2 @t279 @t1068)) @t459))) @t455))) (and (= tptp.infinite @t1069) (or @t451 (not (>= (+ @t1055 @t450) 1))) (or (not (tptp.mem2 @t448 @t1068)) @t445 (not (>= (+ @t1055 @t442) 1))))))) % 208.61/209.04 (define @t1072 () (not @t1071)) % 208.61/209.04 (define @t1073 () (tptp.mem2 @t1050 @t1067)) % 208.61/209.04 (define @t1074 () (not (tptp.mem2 @t1050 tptp.edges))) % 208.61/209.04 (define @t1075 () (not (tptp.mem2 @t1050 @t1034))) % 208.61/209.04 (define @t1076 () (not (tptp.mem2 (@quantifiers_skolemize @t1032 4) @t1034))) % 208.61/209.04 (define @t1077 () (tptp.get1 (@quantifiers_skolemize @t1032 3) @t232)) % 208.61/209.04 (define @t1078 () (not (forall @t509 (or @t471 (not (forall @t505 (or (not (= @t502 @t1077)) (not (forall @t70 (or @t467 @t1070 @t500))) (not (forall @t291 (or @t464 @t1070 (not (tptp.mem2 @t279 @t1067)) @t497))) @t493))) (and (= tptp.infinite @t1077) (or @t487 (not (>= (+ @t1055 @t486) 1))) (or (not (tptp.mem2 @t484 @t1067)) @t483 (not (>= (+ @t1055 @t480) 1)))))))) % 208.61/209.04 (define @t1079 () (not (forall @t84 (or @t1035 @t386)))) % 208.61/209.04 (define @t1080 () (tptp.get1 (@quantifiers_skolemize @t1032 0) @t232)) % 208.61/209.04 (define @t1081 () (and (= tptp.infinite @t1080) (or @t521 (not (>= (+ @t1055 @t520) 1))) (or @t517 @t516 (not (>= (+ @t1055 @t514) 1))))) % 208.61/209.04 (define @t1082 () (not (forall @t291 (or @t464 @t1070 @t531 @t530)))) % 208.61/209.04 (define @t1083 () (not (forall @t70 (or @t467 @t1070 @t534)))) % 208.61/209.04 (define @t1084 () (and (>= (+ @t1055 @t548) -1) (not (= @t1055 @t545)))) % 208.61/209.04 (define @t1085 () (and (not (>= @t1055 2)) (not (= @t1055 1)))) % 208.61/209.04 (define @t1086 () (or @t1085 @t1084 (not (forall @t542 (or @t471 (not (forall @t539 (or (not (= @t536 @t1080)) @t1083 @t1082 @t526))) @t1081))) @t1079 @t1078 @t1076 @t1075 @t1074 @t1073 @t1072 @t1066 @t1064 @t1059 @t1057 @t1054 @t1047 @t1036 @t1033)) % 208.61/209.04 (define @t1087 () (not @t1086)) % 208.61/209.04 (define @t1088 () (not @t1032)) % 208.61/209.04 (define @t1089 () (not (= @t1080 @t536))) % 208.61/209.04 (define @t1090 () (or @t1089 @t1083 @t1082 @t526)) % 208.61/209.04 (define @t1091 () (forall @t539 @t1090)) % 208.61/209.04 (define @t1092 () (not @t1091)) % 208.61/209.04 (define @t1093 () (or @t471 @t1092 @t1081)) % 208.61/209.04 (define @t1094 () (forall @t542 @t1093)) % 208.61/209.04 (define @t1095 () (not @t1094)) % 208.61/209.04 (define @t1096 () (or @t1085 @t1084 @t1095 @t1079 @t1078 @t1076 @t1075 @t1074 @t1073 @t1072 @t1066 @t1064 @t1059 @t1057 @t1054 @t1047 @t1036 @t1033)) % 208.61/209.04 (define @t1097 () (not @t1096)) % 208.61/209.04 (define @t1098 () (@list true)) % 208.61/209.04 (define @t1099 () (@list @t1086)) % 208.61/209.04 (define @t1100 () (@quantifiers_skolemize (forall @t243 (not (tptp.path tptp.s @t185 @t1037))) 0)) % 208.61/209.04 (define @t1101 () (not (>= (+ @t1055 (* -1 (tptp.length1 @t1100))) 1))) % 208.61/209.04 (define @t1102 () (not (tptp.path tptp.s @t1100 @t1037))) % 208.61/209.04 (define @t1103 () (= tptp.infinite @t1062)) % 208.61/209.04 (define @t1104 () (and @t1103 (or @t1102 @t1101) (or (not (tptp.mem2 (tptp.tuple22 @t1037 @t1037) @t1068)) @t1102 @t1101))) % 208.61/209.04 (define @t1105 () (not (tptp.path tptp.s @t454 @t1037))) % 208.61/209.04 (define @t1106 () (tptp.path_weight @t454 @t1037)) % 208.61/209.04 (define @t1107 () (* -1 @t1106)) % 208.61/209.04 (define @t1108 () (tptp.weight @t166 @t1037)) % 208.61/209.04 (define @t1109 () (not (tptp.mem2 (tptp.tuple22 @t166 @t1037) @t1068))) % 208.61/209.04 (define @t1110 () (not (forall @t291 (or @t464 @t1070 @t1109 (>= (+ @t286 @t1108 @t1107) 0))))) % 208.61/209.04 (define @t1111 () (tptp.path_weight @t68 @t1037)) % 208.61/209.04 (define @t1112 () (not (tptp.path tptp.s @t68 @t1037))) % 208.61/209.04 (define @t1113 () (not (forall @t70 (or @t1112 @t1070 (>= (+ @t1111 @t1107) 0))))) % 208.61/209.04 (define @t1114 () (tptp.finite @t1106)) % 208.61/209.04 (define @t1115 () (not (= @t1114 @t1062))) % 208.61/209.04 (define @t1116 () (or @t1115 @t1113 @t1110 @t1105)) % 208.61/209.04 (define @t1117 () (forall @t470 @t1116)) % 208.61/209.04 (define @t1118 () (not @t1117)) % 208.61/209.04 (define @t1119 () (or @t1066 @t1118 @t1104)) % 208.61/209.04 (define @t1120 () (forall @t470 (or (not (= @t1062 @t1114)) @t1113 @t1110 @t1105))) % 208.61/209.04 (define @t1121 () (not @t1120)) % 208.61/209.04 (define @t1122 () (or @t1066 @t1121 @t1104)) % 208.61/209.04 (define @t1123 () (@list false)) % 208.61/209.04 (define @t1124 () (@list @t1044)) % 208.61/209.04 (define @t1125 () (not @t1104)) % 208.61/209.04 (define @t1126 () (@quantifiers_skolemize @t1120 0)) % 208.61/209.04 (define @t1127 () (tptp.path_weight @t1126 @t1037)) % 208.61/209.04 (define @t1128 () (* -1 @t1127)) % 208.61/209.04 (define @t1129 () (forall @t291 (or @t464 @t1070 @t1109 (>= (+ @t286 @t1108 @t1128) 0)))) % 208.61/209.04 (define @t1130 () (not @t1129)) % 208.61/209.04 (define @t1131 () (tptp.finite @t1127)) % 208.61/209.04 (define @t1132 () (= @t1062 @t1131)) % 208.61/209.04 (define @t1133 () (not @t1132)) % 208.61/209.04 (define @t1134 () (or @t1133 (not (forall @t70 (or @t1112 @t1070 (>= (+ @t1111 @t1128) 0)))) @t1130 (not (tptp.path tptp.s @t1126 @t1037)))) % 208.61/209.04 (define @t1135 () (@list @t1134)) % 208.61/209.04 (define @t1136 () (+ @t1042 @t1039 @t1128)) % 208.61/209.04 (define @t1137 () (>= @t1136 0)) % 208.61/209.04 (define @t1138 () (= @t1044 @t1127)) % 208.61/209.04 (define @t1139 () (+ @t1044 @t1128)) % 208.61/209.04 (define @t1140 () (= @t1139 0)) % 208.61/209.04 (define @t1141 () (* -1 0)) % 208.61/209.04 (define @t1142 () (+ 0 @t1026 @t1141)) % 208.61/209.04 (define @t1143 () (* 0 @t1044)) % 208.61/209.04 (define @t1144 () (* 0 @t1127)) % 208.61/209.04 (define @t1145 () (+ @t1144 @t1039 @t1040 @t1042 @t1043 @t1143)) % 208.61/209.04 (define @t1146 () (+ @t1139 (* -1 @t1045) (* -1 @t1136))) % 208.61/209.04 (define @t1147 () (tptp.finite_proj_1 @t1060)) % 208.61/209.04 (define @t1148 () (= @t1044 @t1147)) % 208.61/209.04 (define @t1149 () (tptp.finite_proj_1 @t1131)) % 208.61/209.04 (define @t1150 () (= @t1127 @t1149)) % 208.61/209.04 (define @t1151 () (and @t1137 @t1046 @t1138)) % 208.61/209.04 (define @t1152 () (tptp.mem2 @t1052 @t1068)) % 208.61/209.04 (define @t1153 () (not @t1152)) % 208.61/209.04 (define @t1154 () (or @t1059 @t1057 @t1153 @t1137)) % 208.61/209.04 (define @t1155 () (@list false false true false)) % 208.61/209.04 (define @t1156 () (tptp.mem2 @t1052 @t1034)) % 208.61/209.04 (define @t1157 () (= @t1052 @t1050)) % 208.61/209.04 (define @t1158 () (not @t1157)) % 208.61/209.04 (define @t1159 () (and @t1158 @t1156)) % 208.61/209.04 (define @t1160 () (tptp.mem2 @t1052 @t1051)) % 208.61/209.04 (define @t1161 () (= @t1160 @t1159)) % 208.61/209.04 (define @t1162 () (= @t1050 @t1052)) % 208.61/209.04 (define @t1163 () (not @t1162)) % 208.61/209.04 (define @t1164 () (and @t1163 @t1156)) % 208.61/209.04 (define @t1165 () (= @t1160 @t1164)) % 208.61/209.04 (define @t1166 () (not @t1160)) % 208.61/209.04 (define @t1167 () (tptp.mem2 @t1052 tptp.edges)) % 208.61/209.04 (define @t1168 () (and @t1167 @t1166)) % 208.61/209.04 (define @t1169 () (= @t1053 @t1168)) % 208.61/209.04 (define @t1170 () (@list false false)) % 208.61/209.04 (define @t1171 () (not @t1168)) % 208.61/209.04 (define @t1172 () (@list @t1168)) % 208.61/209.04 (define @t1173 () (not @t1164)) % 208.61/209.04 (define @t1174 () (tptp.tuple22 @t1049 @t1037)) % 208.61/209.04 (define @t1175 () (tptp.add2 @t1174 @t1067)) % 208.61/209.04 (define @t1176 () (tptp.mem2 @t1174 @t1175)) % 208.61/209.04 (define @t1177 () (tptp.mem2 @t1174 @t1067)) % 208.61/209.04 (define @t1178 () (or (= @t1174 @t1174) @t1177)) % 208.61/209.04 (define @t1179 () (= @t1176 @t1178)) % 208.61/209.04 (define @t1180 () (@list @t134)) % 208.61/209.04 (define @t1181 () (not @t1176)) % 208.61/209.04 (define @t1182 () (tptp.t2tb6 @t1052)) % 208.61/209.04 (define @t1183 () (tptp.tuple2_proj_2 tptp.vertex1 tptp.vertex1 @t1182)) % 208.61/209.04 (define @t1184 () (tptp.tb2t @t1183)) % 208.61/209.04 (define @t1185 () (= @t1037 @t1184)) % 208.61/209.04 (define @t1186 () (not @t1185)) % 208.61/209.04 (define @t1187 () (= @t1048 (tptp.tb2t (tptp.tuple2_proj_2 tptp.vertex1 tptp.vertex1 (tptp.t2tb6 @t1050))))) % 208.61/209.04 (define @t1188 () (not @t1187)) % 208.61/209.04 (define @t1189 () (and @t1153 @t1162 @t1187 @t1185 @t1176)) % 208.61/209.04 (define @t1190 () (not @t1156)) % 208.61/209.04 (define @t1191 () (not @t1167)) % 208.61/209.04 (define @t1192 () (and @t1167 @t1190)) % 208.61/209.04 (define @t1193 () (tptp.mem2 @t1052 @t1067)) % 208.61/209.04 (define @t1194 () (= @t1193 @t1192)) % 208.61/209.04 (define @t1195 () (or @t1162 @t1193)) % 208.61/209.04 (define @t1196 () (or @t1157 @t1193)) % 208.61/209.04 (define @t1197 () (= @t1152 @t1196)) % 208.61/209.04 (define @t1198 () (= @t1152 @t1195)) % 208.61/209.04 (assume @p1 (forall @t2 (tptp.sort @t1 (tptp.witness @t1)))) % 208.61/209.04 (assume @p2 (forall (@list @t1 @t5 @t4 @t3) (tptp.sort @t1 (tptp.match_bool @t1 @t5 @t4 @t3)))) % 208.61/209.04 (assume @p3 (forall @t9 (=> @t8 (= (tptp.match_bool @t1 tptp.true @t6 @t7) @t6)))) % 208.61/209.04 (assume @p4 (forall @t9 (=> @t10 (= (tptp.match_bool @t1 tptp.false @t6 @t7) @t7)))) % 208.61/209.04 (assume @p5 (not (= tptp.true tptp.false))) % 208.61/209.04 (assume @p6 (forall (@list @t11) (or (= @t11 tptp.true) (= @t11 tptp.false)))) % 208.61/209.04 (assume @p7 (forall (@list @t12) (= @t12 tptp.tuple02))) % 208.61/209.04 (assume @p8 (forall (@list @t1 @t14 @t13 @t4) (tptp.sort @t14 (tptp.get @t14 @t1 @t13 @t4)))) % 208.61/209.04 (assume @p9 (forall (@list @t1 @t14 @t13 @t4 @t3) (tptp.sort @t15 (tptp.set @t14 @t1 @t13 @t4 @t3)))) % 208.61/209.04 (assume @p10 (forall @t18 (tptp.sort tptp.vertex1 @t17))) % 208.61/209.04 (assume @p11 (forall (@list @t19) (= (tptp.tb2t (tptp.t2tb @t19)) @t19))) % 208.61/209.04 (assume @p12 (forall @t21 (=> (tptp.sort tptp.vertex1 @t20) (= (tptp.t2tb (tptp.tb2t @t20)) @t20)))) % 208.61/209.04 (assume @p13 (forall (@list @t22) (tptp.sort (tptp.map tptp.vertex1 tptp.t1) (tptp.t2tb1 @t22)))) % 208.61/209.04 (assume @p14 (forall (@list @t23) (= (tptp.tb2t1 (tptp.t2tb1 @t23)) @t23))) % 208.61/209.04 (assume @p15 (forall @t21 (= (tptp.t2tb1 (tptp.tb2t1 @t20)) @t20))) % 208.61/209.04 (assume @p16 (forall @t25 (tptp.sort tptp.t1 (tptp.t2tb2 @t24)))) % 208.61/209.04 (assume @p17 (forall (@list @t26) (= (tptp.tb2t2 (tptp.t2tb2 @t26)) @t26))) % 208.61/209.04 (assume @p18 (forall @t21 (= (tptp.t2tb2 (tptp.tb2t2 @t20)) @t20))) % 208.61/209.04 (assume @p19 (forall @t34 (=> @t33 (= @t32 @t27)))) % 208.61/209.04 (assume @p20 (forall (@list @t1 @t14 @t38 @t37 @t36 @t35) (=> @t41 (=> @t40 (= @t39 @t35))))) % 208.61/209.04 (assume @p21 (forall @t34 (=> (not @t33) (= @t32 (tptp.get1 @t31 @t28))))) % 208.61/209.04 (assume @p22 (forall (@list @t1 @t14 @t38 @t37 @t36) (=> (tptp.sort @t1 @t37) (=> (tptp.sort @t1 @t36) (forall (@list @t35) (=> (not @t40) (= @t39 (tptp.get @t14 @t1 @t38 @t36)))))))) % 208.61/209.04 (assume @p23 (forall (@list @t1 @t14 @t13) (tptp.sort @t15 (tptp.const @t14 @t1 @t13)))) % 208.61/209.04 (assume @p24 (forall (@list @t27 @t42) (= (tptp.get1 (tptp.tb2t1 (tptp.const tptp.t1 tptp.vertex1 @t29)) @t42) @t27))) % 208.61/209.04 (assume @p25 (forall (@list @t1 @t14 @t35 @t37) (=> @t41 (= (tptp.get @t14 @t1 (tptp.const @t14 @t1 @t35) @t37) @t35)))) % 208.61/209.04 (assume @p26 (forall (@list @t45 @t44 @t43) (=> (<= @t45 @t44) (=> (<= 0 @t43) (<= (* @t45 @t43) (* @t44 @t43)))))) % 208.61/209.04 (assume @p27 (forall @t2 (tptp.sort @t47 @t46))) % 208.61/209.04 (assume @p28 (forall @t49 (tptp.sort @t47 @t48))) % 208.61/209.04 (assume @p29 (forall (@list @t1 @t50 @t13 @t4 @t3) (tptp.sort @t50 (tptp.match_list @t50 @t1 @t13 @t4 @t3)))) % 208.61/209.04 (assume @p30 (forall (@list @t1 @t50 @t6 @t7) (=> (tptp.sort @t50 @t6) (= (tptp.match_list @t50 @t1 @t46 @t6 @t7) @t6)))) % 208.61/209.04 (assume @p31 (forall (@list @t1 @t50 @t6 @t7 @t52 @t51) (=> (tptp.sort @t50 @t7) (= (tptp.match_list @t50 @t1 @t53 @t6 @t7) @t7)))) % 208.61/209.04 (assume @p32 (forall (@list @t1 @t55 @t54) (not (= @t46 (tptp.cons @t1 @t55 @t54))))) % 208.61/209.04 (assume @p33 (forall @t56 (tptp.sort @t1 (tptp.cons_proj_1 @t1 @t13)))) % 208.61/209.04 (assume @p34 (forall @t58 (=> @t57 (= (tptp.cons_proj_1 @t1 @t53) @t52)))) % 208.61/209.04 (assume @p35 (forall @t56 (tptp.sort @t47 (tptp.cons_proj_2 @t1 @t13)))) % 208.61/209.04 (assume @p36 (forall @t58 (= (tptp.cons_proj_2 @t1 @t53) @t51))) % 208.61/209.04 (assume @p37 (forall @t59 (or (= @t52 @t46) (= @t52 (tptp.cons @t1 (tptp.cons_proj_1 @t1 @t52) (tptp.cons_proj_2 @t1 @t52)))))) % 208.61/209.04 (assume @p38 (forall (@list @t60) (tptp.sort (tptp.list tptp.vertex1) (tptp.t2tb3 @t60)))) % 208.61/209.04 (assume @p39 (forall (@list @t61) (= (tptp.tb2t3 (tptp.t2tb3 @t61)) @t61))) % 208.61/209.04 (assume @p40 (forall @t21 (= (tptp.t2tb3 (tptp.tb2t3 @t20)) @t20))) % 208.61/209.04 (assume @p41 (and (= (tptp.length1 @t66) 0) (forall @t64 (= (tptp.length1 @t63) (+ 1 (tptp.length1 @t62)))))) % 208.61/209.04 (assume @p42 (forall @t2 (and (= (tptp.length @t1 @t46) 0) (forall @t67 (= (tptp.length @t1 @t48) (+ 1 (tptp.length @t1 @t4))))))) % 208.61/209.04 (assume @p43 (forall @t70 (<= 0 @t69))) % 208.61/209.04 (assume @p44 (forall @t73 (<= 0 @t72))) % 208.61/209.04 (assume @p45 (forall @t70 (= (= @t69 0) @t74))) % 208.61/209.04 (assume @p46 (forall @t73 (= (= @t72 0) (= @t71 @t46)))) % 208.61/209.04 (assume @p47 (forall (@list @t75) (tptp.sort @t77 (tptp.t2tb4 @t75)))) % 208.61/209.04 (assume @p48 (forall (@list @t78) (= (tptp.tb2t4 (tptp.t2tb4 @t78)) @t78))) % 208.61/209.04 (assume @p49 (forall @t21 (=> (tptp.sort @t77 @t20) (= (tptp.t2tb4 (tptp.tb2t4 @t20)) @t20)))) % 208.61/209.04 (assume @p50 (forall @t87 (= (tptp.infix_eqeq @t76 @t86 @t85) (forall @t84 (= @t83 @t81))))) % 208.61/209.04 (assume @p51 (forall (@list @t88) (tptp.sort @t89 (tptp.t2tb5 @t88)))) % 208.61/209.04 (assume @p52 (forall (@list @t90) (= (tptp.tb2t5 (tptp.t2tb5 @t90)) @t90))) % 208.61/209.04 (assume @p53 (forall @t21 (=> (tptp.sort @t89 @t20) (= (tptp.t2tb5 (tptp.tb2t5 @t20)) @t20)))) % 208.61/209.04 (assume @p54 (forall @t97 (= (tptp.infix_eqeq tptp.vertex1 @t96 @t95) (forall @t18 (= @t94 @t92))))) % 208.61/209.04 (assume @p55 (forall @t106 (and (=> @t100 (forall @t105 @t103)) (=> (forall @t105 (=> @t104 @t103)) @t100)))) % 208.61/209.04 (assume @p56 (forall @t106 (=> (tptp.sort @t107 @t99) (=> (tptp.sort @t107 @t98) (=> @t100 (= @t99 @t98)))))) % 208.61/209.04 (assume @p57 (forall @t87 (= @t108 (forall @t84 (=> @t83 @t81))))) % 208.61/209.04 (assume @p58 (forall @t97 (= @t109 (forall @t18 (=> @t94 @t92))))) % 208.61/209.04 (assume @p59 (forall @t106 (and (=> @t110 (forall @t105 @t111)) (=> (forall @t105 (=> @t104 @t111)) @t110)))) % 208.61/209.04 (assume @p60 (forall @t113 (tptp.subset @t1 @t112 @t112))) % 208.61/209.04 (assume @p61 (forall (@list @t1 @t99 @t98 @t114) (=> @t110 (=> (tptp.subset @t1 @t98 @t114) (tptp.subset @t1 @t99 @t114))))) % 208.61/209.04 (assume @p62 (forall @t2 (tptp.sort @t107 @t115))) % 208.61/209.04 (assume @p63 (forall @t121 (= @t120 (forall @t84 @t118)))) % 208.61/209.04 (assume @p64 (forall @t127 (= @t126 (forall @t18 @t124)))) % 208.61/209.04 (assume @p65 (forall @t113 (and (=> @t128 (forall @t105 @t130)) (=> (forall @t105 (=> @t104 @t130)) @t128)))) % 208.61/209.04 (assume @p66 (tptp.is_empty @t76 (tptp.t2tb4 tptp.empty2))) % 208.61/209.04 (assume @p67 (tptp.is_empty tptp.vertex1 (tptp.t2tb5 tptp.empty1))) % 208.61/209.04 (assume @p68 (forall @t2 (tptp.is_empty @t1 @t115))) % 208.61/209.04 (assume @p69 (forall @t84 (= (tptp.mem2 @t80 tptp.empty2) false))) % 208.61/209.04 (assume @p70 (forall @t18 (= (tptp.mem1 @t16 tptp.empty1) false))) % 208.61/209.04 (assume @p71 (forall @t56 (= (tptp.mem @t1 @t13 @t115) false))) % 208.61/209.04 (assume @p72 (forall @t49 (tptp.sort @t107 (tptp.add @t1 @t13 @t4)))) % 208.61/209.04 (assume @p73 @t134) % 208.61/209.04 (assume @p74 (forall @t137 (= (tptp.mem1 @t16 (tptp.add1 @t135 @t122)) (or @t136 @t123)))) % 208.61/209.04 (assume @p75 (forall (@list @t1 @t13 @t138) (=> @t104 (=> @t140 (forall (@list @t112) (= (tptp.mem @t1 @t13 (tptp.add @t1 @t138 @t112)) (or @t139 @t129))))))) % 208.61/209.04 (assume @p76 (forall @t49 (tptp.sort @t107 (tptp.remove @t1 @t13 @t4)))) % 208.61/209.04 (assume @p77 @t141) % 208.61/209.04 (assume @p78 (forall @t137 (= (tptp.mem1 @t16 (tptp.remove1 @t135 @t122)) (and (not @t136) @t123)))) % 208.61/209.04 (assume @p79 (forall (@list @t1 @t13 @t138 @t112) (=> @t104 (=> @t140 (= (tptp.mem @t1 @t13 (tptp.remove @t1 @t138 @t112)) (and (not @t139) @t129)))))) % 208.61/209.04 (assume @p80 (forall @t143 (=> @t117 (= (tptp.add2 @t80 @t142) @t116)))) % 208.61/209.04 (assume @p81 (forall @t145 (=> @t123 (= (tptp.add1 @t16 @t144) @t122)))) % 208.61/209.04 (assume @p82 (forall @t147 (=> (tptp.sort @t107 @t112) (=> @t129 (= (tptp.add @t1 @t13 @t146) @t112))))) % 208.61/209.04 (assume @p83 (forall @t143 (= (tptp.remove2 @t80 @t148) @t142))) % 208.61/209.04 (assume @p84 (forall @t145 (= (tptp.remove1 @t16 @t149) @t144))) % 208.61/209.04 (assume @p85 (forall @t147 (= (tptp.remove @t1 @t13 @t150) @t146))) % 208.61/209.04 (assume @p86 (forall @t143 (tptp.subset @t76 (tptp.t2tb4 @t142) @t119))) % 208.61/209.04 (assume @p87 (forall @t145 (tptp.subset tptp.vertex1 (tptp.t2tb5 @t144) @t125))) % 208.61/209.04 (assume @p88 (forall @t147 (tptp.subset @t1 @t146 @t112))) % 208.61/209.04 (assume @p89 (forall @t49 (tptp.sort @t107 (tptp.union @t1 @t13 @t4)))) % 208.61/209.04 (assume @p90 (forall @t151 (= (tptp.mem2 @t80 (tptp.tb2t4 (tptp.union @t76 @t86 @t85))) (or @t83 @t81)))) % 208.61/209.04 (assume @p91 (forall @t152 (= (tptp.mem1 @t16 (tptp.tb2t5 (tptp.union tptp.vertex1 @t96 @t95))) (or @t94 @t92)))) % 208.61/209.04 (assume @p92 (forall @t153 (= (tptp.mem @t1 @t13 (tptp.union @t1 @t99 @t98)) (or @t102 @t101)))) % 208.61/209.04 (assume @p93 (forall @t49 (tptp.sort @t107 (tptp.inter @t1 @t13 @t4)))) % 208.61/209.04 (assume @p94 (forall @t151 (= (tptp.mem2 @t80 (tptp.tb2t4 (tptp.inter @t76 @t86 @t85))) (and @t83 @t81)))) % 208.61/209.04 (assume @p95 (forall @t152 (= (tptp.mem1 @t16 (tptp.tb2t5 (tptp.inter tptp.vertex1 @t96 @t95))) (and @t94 @t92)))) % 208.61/209.04 (assume @p96 (forall @t153 (= (tptp.mem @t1 @t13 (tptp.inter @t1 @t99 @t98)) (and @t102 @t101)))) % 208.61/209.04 (assume @p97 (forall @t49 (tptp.sort @t107 (tptp.diff @t1 @t13 @t4)))) % 208.61/209.04 (assume @p98 (forall @t151 (= (tptp.mem2 @t80 @t154) (and @t83 (not @t81))))) % 208.61/209.04 (assume @p99 (forall @t152 (= (tptp.mem1 @t16 @t155) (and @t94 (not @t92))))) % 208.61/209.04 (assume @p100 (forall @t153 (= (tptp.mem @t1 @t13 @t156) (and @t102 (not @t101))))) % 208.61/209.04 (assume @p101 (forall @t87 (tptp.subset @t76 (tptp.t2tb4 @t154) @t86))) % 208.61/209.04 (assume @p102 (forall @t97 (tptp.subset tptp.vertex1 (tptp.t2tb5 @t155) @t96))) % 208.61/209.04 (assume @p103 (forall @t106 (tptp.subset @t1 @t156 @t99))) % 208.61/209.04 (assume @p104 (forall @t56 (tptp.sort @t1 (tptp.choose @t1 @t13)))) % 208.61/209.04 (assume @p105 (forall @t84 (tptp.sort @t76 (tptp.t2tb6 @t80)))) % 208.61/209.04 (assume @p106 (forall (@list @t157) (= (tptp.tb2t6 (tptp.t2tb6 @t157)) @t157))) % 208.61/209.04 (assume @p107 (forall @t21 (=> (tptp.sort @t76 @t20) (= (tptp.t2tb6 (tptp.tb2t6 @t20)) @t20)))) % 208.61/209.04 (assume @p108 (forall @t121 (=> (not @t120) (tptp.mem2 @t158 @t116)))) % 208.61/209.04 (assume @p109 (forall @t127 (=> (not @t126) (tptp.mem1 @t159 @t122)))) % 208.61/209.04 (assume @p110 (forall @t113 (=> (not @t128) (tptp.mem @t1 @t160 @t112)))) % 208.61/209.04 (assume @p111 (forall @t121 (<= 0 @t161))) % 208.61/209.04 (assume @p112 (forall @t127 (<= 0 @t162))) % 208.61/209.04 (assume @p113 (forall @t113 (<= 0 @t163))) % 208.61/209.04 (assume @p114 (forall @t121 (= (= @t161 0) @t120))) % 208.61/209.04 (assume @p115 (forall @t127 (= (= @t162 0) @t126))) % 208.61/209.04 (assume @p116 (forall @t113 (= (= @t163 0) @t128))) % 208.61/209.04 (assume @p117 (forall @t143 (=> @t118 (= (tptp.cardinal2 @t148) (+ 1 @t161))))) % 208.61/209.04 (assume @p118 (forall @t145 (=> @t124 (= (tptp.cardinal1 @t149) (+ 1 @t162))))) % 208.61/209.04 (assume @p119 (forall @t147 (=> @t130 (= (tptp.cardinal @t1 @t150) (+ 1 @t163))))) % 208.61/209.04 (assume @p120 (forall @t143 (=> @t117 (= @t161 (+ 1 (tptp.cardinal2 @t142)))))) % 208.61/209.04 (assume @p121 (forall @t145 (=> @t123 (= @t162 (+ 1 (tptp.cardinal1 @t144)))))) % 208.61/209.04 (assume @p122 (forall @t147 (=> @t129 (= @t163 (+ 1 (tptp.cardinal @t1 @t146)))))) % 208.61/209.04 (assume @p123 (forall @t87 (=> @t108 (<= (tptp.cardinal2 @t82) (tptp.cardinal2 @t79))))) % 208.61/209.04 (assume @p124 (forall @t97 (=> @t109 (<= (tptp.cardinal1 @t93) (tptp.cardinal1 @t91))))) % 208.61/209.04 (assume @p125 (forall @t106 (=> @t110 (<= (tptp.cardinal @t1 @t99) (tptp.cardinal @t1 @t98))))) % 208.61/209.04 (assume @p126 (forall @t121 (=> (= @t161 1) (forall @t84 (=> @t117 (= @t80 @t158)))))) % 208.61/209.04 (assume @p127 (forall @t127 (=> (= @t162 1) (forall @t18 (=> @t123 (= @t16 @t159)))))) % 208.61/209.04 (assume @p128 (forall @t113 (=> (= @t163 1) (forall @t105 (=> @t104 (=> @t129 (= @t13 @t160))))))) % 208.61/209.04 (assume @p129 (forall (@list @t1 @t50 @t13 @t4) (tptp.sort @t164 (tptp.tuple21 @t50 @t1 @t13 @t4)))) % 208.61/209.04 (assume @p130 (forall @t165 (tptp.sort @t50 (tptp.tuple2_proj_1 @t50 @t1 @t13)))) % 208.61/209.04 (assume @p131 (forall @t169 (= (tptp.tb2t (tptp.tuple2_proj_1 tptp.vertex1 tptp.vertex1 @t168)) @t166))) % 208.61/209.04 (assume @p132 (forall @t171 (=> (tptp.sort @t50 @t52) (= (tptp.tuple2_proj_1 @t50 @t1 @t170) @t52)))) % 208.61/209.04 (assume @p133 (forall @t165 (tptp.sort @t1 (tptp.tuple2_proj_2 @t50 @t1 @t13)))) % 208.61/209.04 (assume @p134 @t173) % 208.61/209.04 (assume @p135 (forall @t171 (=> (tptp.sort @t1 @t51) (= (tptp.tuple2_proj_2 @t50 @t1 @t170) @t51)))) % 208.61/209.04 (assume @p136 (forall (@list @t174) (= @t174 (tptp.tuple22 (tptp.tb2t (tptp.tuple2_proj_1 tptp.vertex1 tptp.vertex1 @t175)) (tptp.tb2t (tptp.tuple2_proj_2 tptp.vertex1 tptp.vertex1 @t175)))))) % 208.61/209.04 (assume @p137 (forall (@list @t1 @t50 @t52) (=> (tptp.sort @t164 @t52) (= @t52 (tptp.tuple21 @t50 @t1 (tptp.tuple2_proj_1 @t50 @t1 @t52) (tptp.tuple2_proj_2 @t50 @t1 @t52)))))) % 208.61/209.04 (assume @p138 (forall @t178 (= @t177 @t176))) % 208.61/209.04 (assume @p139 (forall @t178 (=> @t176 (and (tptp.mem1 @t16 tptp.vertices) (tptp.mem1 @t135 tptp.vertices))))) % 208.61/209.04 (assume @p140 (tptp.mem1 tptp.s tptp.vertices)) % 208.61/209.04 (assume @p141 (< 0 @t179)) % 208.61/209.04 (assume @p142 (forall @t49 (tptp.sort @t47 (tptp.infix_plpl @t1 @t13 @t4)))) % 208.61/209.04 (assume @p143 (forall (@list @t1 @t180) (and (= (tptp.infix_plpl @t1 @t46 @t180) @t180) (forall @t67 (= (tptp.infix_plpl @t1 @t48 @t180) (tptp.cons @t1 @t13 (tptp.infix_plpl @t1 @t4 @t180))))))) % 208.61/209.04 (assume @p144 (forall (@list @t1 @t182 @t180 @t181) (= (tptp.infix_plpl @t1 @t182 (tptp.infix_plpl @t1 @t180 @t181)) (tptp.infix_plpl @t1 @t183 @t181)))) % 208.61/209.04 (assume @p145 (forall @t73 (= (tptp.infix_plpl @t1 @t71 @t46) @t71))) % 208.61/209.04 (assume @p146 (forall @t189 (= (tptp.length1 @t188) (+ (tptp.length1 @t185) (tptp.length1 @t184))))) % 208.61/209.04 (assume @p147 (forall (@list @t1 @t182 @t180) (= (tptp.length @t1 @t183) (+ (tptp.length @t1 @t182) (tptp.length @t1 @t180))))) % 208.61/209.04 (assume @p148 (forall @t56 (=> @t104 (and (not (tptp.mem3 @t1 @t13 @t46)) (forall (@list @t4 @t3) (=> (tptp.sort @t1 @t4) (= (tptp.mem3 @t1 @t13 (tptp.cons @t1 @t4 @t3)) (or (= @t13 @t4) (tptp.mem3 @t1 @t13 @t3))))))))) % 208.61/209.04 (assume @p149 (forall (@list @t1 @t13 @t182 @t180) (= (tptp.mem3 @t1 @t13 @t183) (or (tptp.mem3 @t1 @t13 @t182) (tptp.mem3 @t1 @t13 @t180))))) % 208.61/209.04 (assume @p150 (forall (@list @t1 @t13 @t71) (=> (tptp.mem3 @t1 @t13 @t71) (exists (@list @t182 @t180) (and (tptp.sort @t47 @t182) (tptp.sort @t47 @t180) (= @t71 (tptp.infix_plpl @t1 @t182 (tptp.cons @t1 @t13 @t180)))))))) % 208.61/209.04 (assume @p151 (forall @t18 (tptp.path @t16 @t66 @t16))) % 208.61/209.04 (assume @p152 (forall @t193 (=> @t177 (=> (tptp.path @t135 @t68 @t190) (tptp.path @t16 @t192 @t190))))) % 208.61/209.04 (assume @p153 (forall (@list @t190 @t196 @t195) (=> (tptp.path @t190 @t196 @t195) (or (exists @t18 (and @t197 (= @t196 @t66) (= @t195 @t16))) (exists (@list @t16 @t135 @t194 @t68) (and @t177 (tptp.path @t135 @t68 @t194) @t197 (= @t196 @t192) (= @t195 @t194))))))) % 208.61/209.04 (assume @p154 (forall @t193 (=> (tptp.path @t16 @t68 @t135) (=> @t200 (tptp.path @t16 (tptp.tb2t3 (tptp.infix_plpl tptp.vertex1 @t191 @t199)) @t190))))) % 208.61/209.04 (assume @p155 (forall (@list @t16 @t190 @t68) (=> (tptp.path @t16 @t68 @t190) (or (and (= @t16 @t190) @t74) (exists (@list @t135 @t201) (and (tptp.path @t16 @t201 @t135) @t200 (= @t68 (tptp.tb2t3 (tptp.infix_plpl tptp.vertex1 (tptp.t2tb3 @t201) @t199))))))))) % 208.61/209.04 (assume @p156 (forall @t203 (=> @t202 (=> (tptp.path @t135 @t184 @t190) (tptp.path @t16 @t188 @t190))))) % 208.61/209.04 (assume @p157 (forall @t178 (=> (tptp.path @t16 @t66 @t135) @t136))) % 208.61/209.04 (assume @p158 (forall @t203 (=> (tptp.path @t16 @t206 @t190) (and @t202 (tptp.path @t135 @t205 @t190))))) % 208.61/209.04 (assume @p159 (forall (@list @t207) (and (= (tptp.path_weight @t66 @t207) 0) (forall @t64 (and (=> (= @t62 @t66) (= @t209 (tptp.weight @t16 @t207))) (forall (@list @t208 @t210) (=> (= @t62 (tptp.tb2t3 (tptp.cons tptp.vertex1 (tptp.t2tb @t208) (tptp.t2tb3 @t210)))) (= @t209 (+ (tptp.weight @t16 @t208) (tptp.path_weight @t62 @t207)))))))))) % 208.61/209.04 (assume @p160 (forall (@list @t16 @t135 @t68) (= (tptp.path_weight (tptp.tb2t3 (tptp.infix_plpl tptp.vertex1 @t191 (tptp.cons tptp.vertex1 @t17 @t65))) @t135) (+ (tptp.path_weight @t68 @t16) (tptp.weight @t16 @t135))))) % 208.61/209.04 (assume @p161 (forall (@list @t135 @t190 @t185 @t184) (= (tptp.path_weight @t206 @t190) (+ (tptp.path_weight @t185 @t135) (tptp.path_weight @t205 @t190))))) % 208.61/209.04 (assume @p162 (forall (@list @t212 @t211 @t68) (=> @t213 (=> (tptp.path @t212 @t68 @t211) (tptp.mem1 @t211 tptp.vertices))))) % 208.61/209.04 (assume @p163 (forall @t127 (= @t226 (forall @t70 @t225)))) % 208.61/209.04 (assume @p164 (=> (forall @t127 (=> @t126 @t226)) (=> (forall @t127 (=> @t226 (forall @t230 (=> (not (tptp.mem1 @t228 @t122)) @t229)))) @t227))) % 208.61/209.04 (assume @p165 (forall @t231 (=> (= @t69 @t162) (=> @t224 (or @t220 (forall @t223 (=> @t221 @t222))))))) % 208.61/209.04 (assume @p166 (tptp.pigeon_set tptp.empty1)) % 208.61/209.04 (assume @p167 (forall @t127 (=> @t226 (forall @t230 @t229)))) % 208.61/209.04 (assume @p168 @t227) % 208.61/209.04 (assume @p169 (forall @t231 @t225)) % 208.61/209.04 (assume @p170 (forall @t237 (=> @t236 (=> (not @t74) @t235)))) % 208.61/209.04 (assume @p171 (forall @t237 (=> @t235 (=> (< @t179 (tptp.length1 @t238)) @t239)))) % 208.61/209.04 (assume @p172 (forall @t237 (=> @t239 @t242))) % 208.61/209.04 (assume @p173 (forall @t237 (=> @t236 (=> (<= @t179 @t69) @t242)))) % 208.61/209.04 (assume @p174 (forall (@list @t232 @t68) (=> @t236 (exists (@list @t201) (and (tptp.path tptp.s @t201 @t232) (< (tptp.length1 @t201) @t179)))))) % 208.61/209.04 (assume @p175 (forall @t246 (= @t245 (and @t244 (exists @t243 (tptp.path tptp.s @t185 @t232)) (exists (@list @t184) (and (tptp.path @t232 @t184 @t232) (< (tptp.path_weight @t184 @t232) 0))))))) % 208.61/209.04 (assume @p176 (forall (@list @t232 @t248) (=> (forall @t70 (=> @t236 (=> (< @t69 @t179) (<= @t248 @t249)))) (=> (exists @t70 (and @t236 (< @t249 @t248))) (exists @t247 (tptp.negative_cycle @t166)))))) % 208.61/209.04 (assume @p177 (forall (@list @t1 @t24 @t4 @t3) (tptp.sort @t1 (tptp.match_t @t1 @t24 @t4 @t3)))) % 208.61/209.04 (assume @p178 (forall (@list @t1 @t6 @t7 @t250) (=> @t8 (= (tptp.match_t @t1 @t251 @t6 @t7) @t6)))) % 208.61/209.04 (assume @p179 (forall @t9 (=> @t10 (= (tptp.match_t @t1 tptp.infinite @t6 @t7) @t7)))) % 208.61/209.04 (assume @p180 @t254) % 208.61/209.04 (assume @p181 @t257) % 208.61/209.04 (assume @p182 (forall (@list @t258) (or (= @t258 (tptp.finite (tptp.finite_proj_1 @t258))) (= @t258 tptp.infinite)))) % 208.61/209.04 (assume @p183 (forall @t265 (and (forall @t264 (and (forall @t263 (= (tptp.add3 @t260 @t262) (tptp.finite (+ @t45 @t261)))) (= (tptp.add3 @t260 tptp.infinite) tptp.infinite))) (= (tptp.add3 tptp.infinite @t259) tptp.infinite)))) % 208.61/209.04 (assume @p184 (forall @t265 (and (forall @t264 (and (forall @t263 (= (tptp.lt @t260 @t262) (< @t45 @t261))) (tptp.lt @t260 tptp.infinite))) (not (tptp.lt tptp.infinite @t259))))) % 208.61/209.04 (assume @p185 (forall @t268 (= @t267 (or (tptp.lt @t24 @t259) @t266)))) % 208.61/209.04 (assume @p186 (forall @t25 (tptp.le @t24 @t24))) % 208.61/209.04 (assume @p187 (forall (@list @t24 @t259 @t269) (=> @t267 (=> (tptp.le @t259 @t269) (tptp.le @t24 @t269))))) % 208.61/209.04 (assume @p188 (forall @t268 (=> @t267 (=> @t270 @t266)))) % 208.61/209.04 (assume @p189 (forall @t268 (or @t267 @t270))) % 208.61/209.04 (assume @p190 (forall @t56 (tptp.sort @t271 (tptp.mk_ref @t1 @t13)))) % 208.61/209.04 (assume @p191 (forall @t56 (tptp.sort @t1 (tptp.contents @t1 @t13)))) % 208.61/209.04 (assume @p192 (forall @t59 (=> @t57 (= (tptp.contents @t1 (tptp.mk_ref @t1 @t52)) @t52)))) % 208.61/209.04 (assume @p193 (forall @t59 (=> (tptp.sort @t271 @t52) (= @t52 (tptp.mk_ref @t1 (tptp.contents @t1 @t52)))))) % 208.61/209.04 (assume @p194 (forall (@list @t31 @t273 @t272) (and (=> @t274 (forall @t246 (=> @t244 (and (forall @t264 (=> @t298 (and @t297 @t294 @t292))) (=> @t284 (and @t282 @t281)))))) (=> (forall @t246 (=> @t244 (or (exists @t264 (and @t298 @t297 @t294 @t292)) (and @t284 @t282 @t281)))) @t274)))) % 208.61/209.04 (assume @p195 (forall (@list @t31 @t272) (= (tptp.inv2 @t31 @t272) (forall (@list @t166 @t232) (=> @t280 (tptp.le @t283 (tptp.add3 (tptp.get1 @t31 @t166) (tptp.finite @t285)))))))) % 208.61/209.04 (assume @p196 (forall (@list @t31) (=> (tptp.inv1 @t31 @t179 tptp.empty2) (=> (tptp.inv2 @t31 tptp.edges) (forall @t246 (not @t245)))))) % 208.61/209.04 (assume @p197 @t421) % 208.61/209.04 (assume @p198 true) % 208.61/209.04 (step @p199 :rule refl :args (@t423)) % 208.61/209.04 (step @p200 :rule refl :args (@t426)) % 208.61/209.04 (step @p201 :rule refl :args (@t431)) % 208.61/209.04 (step @p202 :rule refl :args (@t435)) % 208.61/209.04 (step @p203 :rule refl :args (@t436)) % 208.61/209.04 (step @p204 :rule refl :args (@t437)) % 208.61/209.04 (step @p205 :rule refl :args (@t439)) % 208.61/209.04 (step @p206 :rule refl :args (@t440)) % 208.61/209.04 (step @p207 :rule refl :args (@t473)) % 208.61/209.04 (step @p208 :rule refl :args (@t474)) % 208.61/209.04 (step @p209 :rule refl :args (@t475)) % 208.61/209.04 (step @p210 :rule refl :args (@t476)) % 208.61/209.04 (step @p211 :rule refl :args (@t478)) % 208.61/209.04 (step @p212 :rule refl :args (@t491)) % 208.61/209.04 (step @p213 :rule refl :args (@t493)) % 208.61/209.04 (step @p214 :rule refl :args (@t498)) % 208.61/209.04 (step @p215 :rule refl :args (@t501)) % 208.61/209.04 (step @p216 :rule eq-symm :args (@t490 @t502)) % 208.61/209.04 (step @p217 :rule cong :premises (@p216) :args (@t503)) % 208.61/209.04 (step @p218 :rule nary_cong :premises (@p217 @p215 @p214 @p213) :args (@t504)) % 208.61/209.04 (step @p219 :rule cong :premises (@p218) :args (@t506)) % 208.61/209.04 (step @p220 :rule cong :premises (@p219) :args (@t507)) % 208.61/209.04 (step @p221 :rule refl :args (@t471)) % 208.61/209.04 (step @p222 :rule nary_cong :premises (@p221 @p220 @p212) :args (@t508)) % 208.61/209.04 (step @p223 :rule cong :premises (@p222) :args (@t510)) % 208.61/209.04 (step @p224 :rule cong :premises (@p223) :args (@t511)) % 208.61/209.04 (step @p225 :rule refl :args (@t512)) % 208.61/209.04 (step @p226 :rule refl :args (@t544)) % 208.61/209.04 (step @p227 :rule refl :args (@t551)) % 208.61/209.04 (step @p228 :rule refl :args (@t554)) % 208.61/209.04 (step @p229 :rule nary_cong :premises 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(assume-push @p1509 @t1150) % 208.61/209.04 (assume-push @p1510 @t1137) % 208.61/209.04 (assume-push @p1511 @t1150) % 208.61/209.04 (assume-push @p1512 (= @t1044 @t1149)) % 208.61/209.04 (step @p1304 :rule symm :premises (@p1238)) % 208.61/209.04 (step @p1305 :rule symm :premises (@p1208)) % 208.61/209.04 (step @p1306 :rule trans :premises (@p1305 @p1244)) % 208.61/209.04 (step @p1307 :rule cong :premises (@p1306) :args (@t1147)) % 208.61/209.04 (step @p1308 :rule instantiate :premises (@p1237) :args (@t1124)) % 208.61/209.04 (step @p1309 :rule trans :premises (@p1308 @p1307)) % 208.61/209.04 (step @p1310 :rule trans :premises (@p1309 @p1304)) % 208.61/209.04 (step-pop @p1513 :rule scope :premises (@p1310)) % 208.61/209.04 (step-pop @p1514 :rule scope :premises (@p1513)) % 208.61/209.04 (step @p1311 :rule process_scope :premises (@p1514) :args (@t1138)) % 208.61/209.04 (step @p1305 :rule symm :premises (@p1208)) % 208.61/209.04 (step @p1306 :rule trans :premises (@p1305 @p1244)) % 208.61/209.04 (step @p1307 :rule cong :premises (@p1306) :args (@t1147)) % 208.61/209.04 (step @p1314 :rule trans :premises (@p1245 @p1307)) % 208.61/209.04 (step @p1315 :rule and_intro :premises (@p1238 @p1314)) % 208.61/209.04 (step @p1316 :rule modus_ponens :premises (@p1315 @p1311)) % 208.61/209.04 (step @p1317 :rule and_intro :premises (@p1510 @p1251 @p1316)) % 208.61/209.04 (step-pop @p1515 :rule scope :premises (@p1317)) % 208.61/209.04 (step-pop @p1516 :rule scope :premises (@p1515)) % 208.61/209.04 (step-pop @p1517 :rule scope :premises (@p1516)) % 208.61/209.04 (step-pop @p1518 :rule scope :premises (@p1517)) % 208.61/209.04 (step-pop @p1519 :rule scope :premises (@p1518)) % 208.61/209.04 (step-pop @p1520 :rule scope :premises (@p1519)) % 208.61/209.04 (step @p1318 :rule process_scope :premises (@p1520) :args (@t1151)) % 208.61/209.04 (step @p1325 :rule implies_elim :premises (@p1318)) % 208.61/209.04 (step @p1326 :rule resolution :premises (@p1325 @p1292) :args (true @t1151)) % 208.61/209.04 (step @p1327 :rule not_and :premises (@p1326)) % 208.61/209.04 (step @p1328 :rule chain_m_resolution :premises (@p1327 @p1208 @p1251 @p1245 @p1244 @p1238) :args ((not @t1137) (@list false false false false false) (@list @t1063 @t1046 @t1148 @t1132 @t1150))) % 208.61/209.04 (step @p1329 :rule bool-double-not-elim :args (@t1056)) % 208.61/209.04 (step @p1330 :rule nary_cong :premises (@p1172 @p1329) :args ((or @t1086 (not @t1057)))) % 208.61/209.04 (step @p1331 :rule cnf_or_neg :args (@t1086 13)) % 208.61/209.04 (step @p1332 :rule eq_resolve :premises (@p1331 @p1330)) % 208.61/209.04 (step @p1333 :rule reordering :premises (@p1332) :args ((or @t1056 @t1086))) % 208.61/209.04 (step @p1334 :rule chain_m_resolution :premises (@p1333 @p1170) :args (@t1056 @t1098 @t1099)) % 208.61/209.04 (step @p1335 :rule bool-double-not-elim :args (@t1058)) % 208.61/209.04 (step @p1336 :rule nary_cong :premises (@p1172 @p1335) :args ((or @t1086 (not @t1059)))) % 208.61/209.04 (step @p1337 :rule cnf_or_neg :args (@t1086 12)) % 208.61/209.04 (step @p1338 :rule eq_resolve :premises (@p1337 @p1336)) % 208.61/209.04 (step @p1339 :rule reordering :premises (@p1338) :args ((or @t1058 @t1086))) % 208.61/209.04 (step @p1340 :rule chain_m_resolution :premises (@p1339 @p1170) :args (@t1058 @t1098 @t1099)) % 208.61/209.04 (step @p1341 :rule cnf_or_pos :args (@t1154)) % 208.61/209.04 (step @p1342 :rule reordering :premises (@p1341) :args ((or @t1059 @t1057 @t1153 @t1137 (not @t1154)))) % 208.61/209.04 (step @p1343 :rule chain_m_resolution :premises (@p1342 @p1340 @p1334 @p1328 @p1233) :args (@t1153 @t1155 (@list @t1058 @t1056 @t1137 @t1154))) % 208.61/209.04 (step @p1344 :rule instantiate :premises (@p98) :args ((@list tptp.edges @t1034 @t1052))) % 208.61/209.04 (step @p1345 :rule refl :args (@t1156)) % 208.61/209.04 (step @p1346 :rule eq-symm :args (@t1052 @t1050)) % 208.61/209.04 (step @p1347 :rule cong :premises (@p1346) :args (@t1158)) % 208.61/209.04 (step @p1348 :rule nary_cong :premises (@p1347 @p1345) :args (@t1159)) % 208.61/209.04 (step @p1349 :rule refl :args (@t1160)) % 208.61/209.04 (step @p1350 :rule cong :premises (@p1349 @p1348) :args (@t1161)) % 208.61/209.04 (step @p1351 :rule refl :args (@t141)) % 208.61/209.04 (step @p1352 :rule cong :premises (@p1351 @p1350) :args ((=> @t141 @t1161))) % 208.61/209.04 (assume-push @p1521 @t141) % 208.61/209.04 (step @p1354 :rule instantiate :premises (@p77) :args ((@list @t1052 @t1050 @t1034))) % 208.61/209.04 (step-pop @p1522 :rule scope :premises (@p1354)) % 208.61/209.04 (step @p1355 :rule process_scope :premises (@p1522) :args (@t1161)) % 208.61/209.04 (step @p1357 :rule eq_resolve :premises (@p1355 @p1352)) % 208.61/209.04 (step @p1358 :rule implies_elim :premises (@p1357)) % 208.61/209.04 (step @p1359 :rule chain_m_resolution :premises (@p1358 @p77) :args (@t1165 @t1123 (@list @t141))) % 208.61/209.04 (step @p1360 :rule instantiate :premises (@p98) :args ((@list tptp.edges @t1051 @t1052))) % 208.61/209.04 (step @p1361 :rule bool-double-not-elim :args (@t1053)) % 208.61/209.04 (step @p1362 :rule nary_cong :premises (@p1172 @p1361) :args ((or @t1086 (not @t1054)))) % 208.61/209.04 (step @p1363 :rule cnf_or_neg :args (@t1086 14)) % 208.61/209.04 (step @p1364 :rule eq_resolve :premises (@p1363 @p1362)) % 208.61/209.04 (step @p1365 :rule reordering :premises (@p1364) :args ((or @t1053 @t1086))) % 208.61/209.04 (step @p1366 :rule chain_m_resolution :premises (@p1365 @p1170) :args (@t1053 @t1098 @t1099)) % 208.61/209.04 (step @p1367 :rule cnf_equiv_pos1 :args (@t1169)) % 208.61/209.04 (step @p1368 :rule reordering :premises (@p1367) :args ((or @t1054 @t1168 (not @t1169)))) % 208.61/209.04 (step @p1369 :rule chain_m_resolution :premises (@p1368 @p1366 @p1360) :args (@t1168 @t1170 (@list @t1053 @t1169))) % 208.61/209.04 (step @p1370 :rule cnf_and_pos :args (@t1168 1)) % 208.61/209.04 (step @p1371 :rule reordering :premises (@p1370) :args ((or @t1166 @t1171))) % 208.61/209.04 (step @p1372 :rule chain_m_resolution :premises (@p1371 @p1369) :args (@t1166 @t1123 @t1172)) % 208.61/209.04 (step @p1373 :rule cnf_equiv_pos2 :args (@t1165)) % 208.61/209.04 (step @p1374 :rule reordering :premises (@p1373) :args ((or @t1160 @t1173 (not @t1165)))) % 208.61/209.04 (step @p1375 :rule chain_m_resolution :premises (@p1374 @p1372 @p1359) :args (@t1173 (@list true false) (@list @t1160 @t1165))) % 208.61/209.04 (step @p1376 :rule bool-eq-true :args (@t1176)) % 208.61/209.04 (step @p1377 :rule absorb :args ((= (or true @t1177) true))) % 208.61/209.04 (step @p1378 :rule refl :args (@t1177)) % 208.61/209.04 (step @p1379 :rule eq-refl :args (@t1174)) % 208.61/209.04 (step @p1380 :rule nary_cong :premises (@p1379 @p1378) :args (@t1178)) % 208.61/209.04 (step @p1381 :rule trans :premises (@p1380 @p1377)) % 208.61/209.04 (step @p1382 :rule refl :args (@t1176)) % 208.61/209.04 (step @p1383 :rule cong :premises (@p1382 @p1381) :args (@t1179)) % 208.61/209.04 (step @p1384 :rule trans :premises (@p1383 @p1376)) % 208.61/209.04 (step @p1385 :rule refl :args (@t134)) % 208.61/209.04 (step @p1386 :rule cong :premises (@p1385 @p1384) :args ((=> @t134 @t1179))) % 208.61/209.04 (assume-push @p1523 @t134) % 208.61/209.04 (step @p1388 :rule instantiate :premises (@p73) :args ((@list @t1174 @t1174 @t1067))) % 208.61/209.04 (step-pop @p1524 :rule scope :premises (@p1388)) % 208.61/209.04 (step @p1389 :rule process_scope :premises (@p1524) :args (@t1179)) % 208.61/209.04 (step @p1391 :rule eq_resolve :premises (@p1389 @p1386)) % 208.61/209.04 (step @p1392 :rule implies_elim :premises (@p1391)) % 208.61/209.04 (step @p1393 :rule chain_m_resolution :premises (@p1392 @p73) :args (@t1176 @t1123 @t1180)) % 208.61/209.04 (step @p1394 :rule eq-symm :args (@t172 @t167)) % 208.61/209.04 (step @p1395 :rule cong :premises (@p1394) :args (@t173)) % 208.61/209.04 (step @p1396 :rule eq_resolve :premises (@p134 @p1395)) % 208.61/209.04 (step @p1397 :rule instantiate :premises (@p1396) :args ((@list @t1038 @t1037))) % 208.61/209.04 (step @p1398 :rule instantiate :premises (@p1396) :args ((@list @t1049 @t1048))) % 208.61/209.04 (step @p1399 :rule refl :args (@t1181)) % 208.61/209.04 (step @p1400 :rule bool-double-not-elim :args (@t1152)) % 208.61/209.04 (step @p1401 :rule refl :args (@t1163)) % 208.61/209.04 (step @p1402 :rule refl :args (@t1186)) % 208.61/209.04 (step @p1403 :rule refl :args (@t1188)) % 208.61/209.04 (step @p1404 :rule nary_cong :premises (@p1403 @p1402 @p1401 @p1400 @p1399) :args ((or @t1188 @t1186 @t1163 (not @t1153) @t1181))) % 208.61/209.04 (assume-push @p1525 @t1153) % 208.61/209.04 (assume-push @p1526 @t1162) % 208.61/209.04 (assume-push @p1527 @t1187) % 208.61/209.04 (assume-push @p1528 @t1185) % 208.61/209.04 (assume-push @p1529 @t1176) % 208.61/209.04 (step @p1410 :rule evaluate :args ((= true false))) % 208.61/209.04 (step @p1411 :rule false_intro :premises (@p1525)) % 208.61/209.04 (step @p1412 :rule refl :args (@t1068)) % 208.61/209.04 (step @p1413 :rule cong :premises (@p1526 @p1412) :args ((tptp.mem2 @t1050 @t1068))) % 208.61/209.04 (step @p1414 :rule refl :args (@t1067)) % 208.61/209.04 (step @p1415 :rule symm :premises (@p1398)) % 208.61/209.04 (step @p1416 :rule symm :premises (@p1526)) % 208.61/209.04 (step @p1417 :rule cong :premises (@p1416) :args (@t1182)) % 208.61/209.04 (step @p1418 :rule refl :args (tptp.vertex1)) % 208.61/209.04 (step @p1419 :rule cong :premises (@p1418 @p1418 @p1417) :args (@t1183)) % 208.61/209.04 (step @p1420 :rule cong :premises (@p1419) :args (@t1184)) % 208.61/209.04 (step @p1421 :rule trans :premises (@p1397 @p1420 @p1415)) % 208.61/209.04 (step @p1422 :rule refl :args (@t1049)) % 208.61/209.04 (step @p1423 :rule cong :premises (@p1422 @p1421) :args (@t1174)) % 208.61/209.04 (step @p1424 :rule cong :premises (@p1423 @p1414) :args (@t1175)) % 208.61/209.04 (step @p1425 :rule cong :premises (@p1423 @p1424) :args (@t1176)) % 208.61/209.04 (step @p1426 :rule true_intro :premises (@p1393)) % 208.61/209.04 (step @p1427 :rule symm :premises (@p1426)) % 208.61/209.04 (step @p1428 :rule trans :premises (@p1427 @p1425 @p1413 @p1411)) % 208.61/209.04 (step @p1429 false :rule eq_resolve :premises (@p1428 @p1410)) % 208.61/209.04 (step-pop @p1530 :rule scope :premises (@p1429)) % 208.61/209.04 (step-pop @p1531 :rule scope :premises (@p1530)) % 208.61/209.04 (step-pop @p1532 :rule scope :premises (@p1531)) % 208.61/209.04 (step-pop @p1533 :rule scope :premises (@p1532)) % 208.61/209.04 (step-pop @p1534 :rule scope :premises (@p1533)) % 208.61/209.04 (step @p1430 :rule process_scope :premises (@p1534) :args (false)) % 208.61/209.04 (assume-push @p1535 @t1187) % 208.61/209.04 (assume-push @p1536 @t1185) % 208.61/209.04 (assume-push @p1537 @t1162) % 208.61/209.04 (assume-push @p1538 @t1153) % 208.61/209.04 (assume-push @p1539 @t1176) % 208.61/209.04 (step @p1441 :rule and_intro :premises (@p1538 @p1537 @p1398 @p1397 @p1393)) % 208.61/209.04 (step-pop @p1540 :rule scope :premises (@p1441)) % 208.61/209.04 (step-pop @p1541 :rule scope :premises (@p1540)) % 208.61/209.04 (step-pop @p1542 :rule scope :premises (@p1541)) % 208.61/209.04 (step-pop @p1543 :rule scope :premises (@p1542)) % 208.61/209.04 (step-pop @p1544 :rule scope :premises (@p1543)) % 208.61/209.04 (step @p1442 :rule process_scope :premises (@p1544) :args (@t1189)) % 208.61/209.04 (step @p1448 :rule implies_elim :premises (@p1442)) % 208.61/209.04 (step @p1449 :rule resolution :premises (@p1448 @p1430) :args (true @t1189)) % 208.61/209.04 (step @p1450 :rule not_and :premises (@p1449)) % 208.61/209.04 (step @p1451 :rule eq_resolve :premises (@p1450 @p1404)) % 208.61/209.04 (step @p1452 :rule chain_m_resolution :premises (@p1451 @p1398 @p1397 @p1343 @p1393) :args (@t1163 @t1155 (@list @t1187 @t1185 @t1152 @t1176))) % 208.61/209.04 (step @p1453 :rule refl :args (@t1190)) % 208.61/209.04 (step @p1454 :rule bool-double-not-elim :args (@t1162)) % 208.61/209.04 (step @p1455 :rule refl :args (@t1164)) % 208.61/209.04 (step @p1456 :rule nary_cong :premises (@p1455 @p1454 @p1453) :args ((or @t1164 (not @t1163) @t1190))) % 208.61/209.04 (step @p1457 :rule cnf_and_neg :args (@t1164)) % 208.61/209.04 (step @p1458 :rule eq_resolve :premises (@p1457 @p1456)) % 208.61/209.04 (step @p1459 :rule reordering :premises (@p1458) :args ((or @t1162 @t1164 @t1190))) % 208.61/209.04 (step @p1460 :rule chain_m_resolution :premises (@p1459 @p1452 @p1375) :args (@t1190 (@list true true) (@list @t1162 @t1164))) % 208.61/209.04 (step @p1461 :rule cnf_and_pos :args (@t1168 0)) % 208.61/209.04 (step @p1462 :rule reordering :premises (@p1461) :args ((or @t1167 @t1171))) % 208.61/209.04 (step @p1463 :rule chain_m_resolution :premises (@p1462 @p1369) :args (@t1167 @t1123 @t1172)) % 208.61/209.04 (step @p1464 :rule bool-double-not-elim :args (@t1156)) % 208.61/209.04 (step @p1465 :rule refl :args (@t1191)) % 208.61/209.04 (step @p1466 :rule refl :args (@t1192)) % 208.61/209.04 (step @p1467 :rule nary_cong :premises (@p1466 @p1465 @p1464) :args ((or @t1192 @t1191 (not @t1190)))) % 208.61/209.04 (step @p1468 :rule cnf_and_neg :args (@t1192)) % 208.61/209.04 (step @p1469 :rule eq_resolve :premises (@p1468 @p1467)) % 208.61/209.04 (step @p1470 :rule reordering :premises (@p1469) :args ((or @t1191 @t1156 @t1192))) % 197.20/209.05 (step @p1471 :rule chain_m_resolution :premises (@p1470 @p1463 @p1460) :args (@t1192 (@list false true) (@list @t1167 @t1156))) % 197.20/209.05 (step @p1472 :rule cnf_equiv_pos2 :args (@t1194)) % 197.20/209.05 (step @p1473 :rule reordering :premises (@p1472) :args ((or @t1193 (not @t1192) (not @t1194)))) % 197.20/209.05 (step @p1474 :rule chain_m_resolution :premises (@p1473 @p1471 @p1344) :args (@t1193 @t1170 (@list @t1192 @t1194))) % 197.20/209.05 (step @p1475 :rule cnf_or_neg :args (@t1195 1)) % 197.20/209.05 (step @p1476 :rule reordering :premises (@p1475) :args ((or (not @t1193) @t1195))) % 197.20/209.05 (step @p1477 :rule chain_m_resolution :premises (@p1476 @p1474) :args (@t1195 @t1123 (@list @t1193))) % 197.20/209.05 (step @p1478 :rule refl :args (@t1193)) % 197.20/209.05 (step @p1479 :rule nary_cong :premises (@p1346 @p1478) :args (@t1196)) % 197.20/209.05 (step @p1480 :rule refl :args (@t1152)) % 197.20/209.05 (step @p1481 :rule cong :premises (@p1480 @p1479) :args (@t1197)) % 197.20/209.05 (step @p1482 :rule cong :premises (@p1385 @p1481) :args ((=> @t134 @t1197))) % 197.20/209.05 (assume-push @p1545 @t134) % 197.20/209.05 (step @p1484 :rule instantiate :premises (@p73) :args ((@list @t1052 @t1050 @t1067))) % 197.20/209.05 (step-pop @p1546 :rule scope :premises (@p1484)) % 197.20/209.05 (step @p1485 :rule process_scope :premises (@p1546) :args (@t1197)) % 197.20/209.05 (step @p1487 :rule eq_resolve :premises (@p1485 @p1482)) % 197.20/209.05 (step @p1488 :rule implies_elim :premises (@p1487)) % 197.20/209.05 (step @p1489 :rule chain_m_resolution :premises (@p1488 @p73) :args (@t1198 @t1123 @t1180)) % 197.20/209.05 (step @p1490 :rule cnf_equiv_pos2 :args (@t1198)) % 197.20/209.05 (step @p1491 :rule reordering :premises (@p1490) :args ((or @t1152 (not @t1195) (not @t1198)))) % 197.20/209.05 (step @p1492 false :rule chain_m_resolution :premises (@p1491 @p1489 @p1477 @p1343) :args (false (@list false false true) (@list @t1198 @t1195 @t1152))) % 197.20/209.05 ) % 197.20/209.05 % SZS output end Proof % 197.20/209.05 % cvc5 exiting %------------------------------------------------------------------------------