%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP004-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 09:15:42 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.64s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : TOP004-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n013.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 01:13:45 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.64 % SZS status Unsatisfiable % 0.38/0.64 % SZS output start Proof % 0.38/0.65 ( % 0.38/0.65 (declare-sort $$unsorted 0) % 0.38/0.65 (declare-const tptp.f $$unsorted) % 0.38/0.65 (declare-const tptp.compact_set (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.f24 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.f23 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.open_covering (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.f21 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.f22 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.separation (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.f19 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.hausdorff (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.boundary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.f16 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.eq_p (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.f15 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.intersection_of_sets (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.f3 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.connected_space (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.cx $$unsorted) % 0.38/0.65 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.empty_set $$unsorted) % 0.38/0.65 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.neighborhood (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.equal_sets (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.connected_set (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.f2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.intersection_of_members (-> $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.f20 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.element_of_collection (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.f18 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.limit_point (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.element_of_set (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.open (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.union_of_sets (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.closed (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.compact_space (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.subset_sets (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.relative_complement_sets (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.top_of_basis (-> $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.finer (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.union_of_members (-> $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.basis (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.topological_space (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.closure (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.subset_collections (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.disjoint_s (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.subspace_topology (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (define @t1 () (@var "U" $$unsorted)) % 0.38/0.65 (define @t2 () (@var "Vf" $$unsorted)) % 0.38/0.65 (define @t3 () (tptp.f1 @t2 @t1)) % 0.38/0.65 (define @t4 () (tptp.union_of_members @t2)) % 0.38/0.65 (define @t5 () (tptp.element_of_set @t1 @t4)) % 0.38/0.65 (define @t6 () (not @t5)) % 0.38/0.65 (define @t7 () (@list @t1 @t2)) % 0.38/0.65 (define @t8 () (@var "Uu1" $$unsorted)) % 0.38/0.65 (define @t9 () (@var "Va" $$unsorted)) % 0.38/0.65 (define @t10 () (tptp.element_of_set @t1 (tptp.intersection_of_members @t2))) % 0.38/0.65 (define @t11 () (tptp.f2 @t2 @t1)) % 0.38/0.65 (define @t12 () (@var "X" $$unsorted)) % 0.38/0.65 (define @t13 () (@var "Vt" $$unsorted)) % 0.38/0.65 (define @t14 () (tptp.equal_sets (tptp.union_of_members @t13) @t12)) % 0.38/0.65 (define @t15 () (tptp.topological_space @t12 @t13)) % 0.38/0.65 (define @t16 () (not @t15)) % 0.38/0.65 (define @t17 () (@list @t12 @t13)) % 0.38/0.65 (define @t18 () (tptp.element_of_collection tptp.empty_set @t13)) % 0.38/0.65 (define @t19 () (tptp.element_of_collection @t12 @t13)) % 0.38/0.65 (define @t20 () (@var "Z" $$unsorted)) % 0.38/0.65 (define @t21 () (@var "Y" $$unsorted)) % 0.38/0.65 (define @t22 () (tptp.subset_collections @t2 @t13)) % 0.38/0.65 (define @t23 () (not @t22)) % 0.38/0.65 (define @t24 () (tptp.f5 @t12 @t13)) % 0.38/0.65 (define @t25 () (tptp.subset_collections @t24 @t13)) % 0.38/0.65 (define @t26 () (tptp.f3 @t12 @t13)) % 0.38/0.65 (define @t27 () (tptp.element_of_collection @t26 @t13)) % 0.38/0.65 (define @t28 () (not @t19)) % 0.38/0.65 (define @t29 () (not @t18)) % 0.38/0.65 (define @t30 () (not @t14)) % 0.38/0.65 (define @t31 () (not (tptp.element_of_collection (tptp.union_of_members @t24) @t13))) % 0.38/0.65 (define @t32 () (tptp.f4 @t12 @t13)) % 0.38/0.65 (define @t33 () (tptp.element_of_collection @t32 @t13)) % 0.38/0.65 (define @t34 () (not (tptp.element_of_collection (tptp.intersection_of_sets @t26 @t32) @t13))) % 0.38/0.65 (define @t35 () (tptp.open @t1 @t12 @t13)) % 0.38/0.65 (define @t36 () (not @t35)) % 0.38/0.65 (define @t37 () (@list @t1 @t12 @t13)) % 0.38/0.65 (define @t38 () (tptp.element_of_collection @t1 @t13)) % 0.38/0.65 (define @t39 () (tptp.closed @t1 @t12 @t13)) % 0.38/0.65 (define @t40 () (not @t39)) % 0.38/0.65 (define @t41 () (tptp.open (tptp.relative_complement_sets @t1 @t12) @t12 @t13)) % 0.38/0.65 (define @t42 () (@var "Vs" $$unsorted)) % 0.38/0.65 (define @t43 () (tptp.finer @t13 @t42 @t12)) % 0.38/0.65 (define @t44 () (not @t43)) % 0.38/0.65 (define @t45 () (@list @t13 @t42 @t12)) % 0.38/0.65 (define @t46 () (tptp.topological_space @t12 @t42)) % 0.38/0.65 (define @t47 () (tptp.subset_collections @t42 @t13)) % 0.38/0.65 (define @t48 () (tptp.equal_sets @t4 @t12)) % 0.38/0.65 (define @t49 () (tptp.basis @t12 @t2)) % 0.38/0.65 (define @t50 () (not @t49)) % 0.38/0.65 (define @t51 () (@list @t12 @t2)) % 0.38/0.65 (define @t52 () (@var "Vb2" $$unsorted)) % 0.38/0.65 (define @t53 () (@var "Vb1" $$unsorted)) % 0.38/0.65 (define @t54 () (tptp.f6 @t12 @t2 @t21 @t53 @t52)) % 0.38/0.65 (define @t55 () (tptp.intersection_of_sets @t53 @t52)) % 0.38/0.65 (define @t56 () (not (tptp.element_of_set @t21 @t55))) % 0.38/0.65 (define @t57 () (not (tptp.element_of_collection @t52 @t2))) % 0.38/0.65 (define @t58 () (not (tptp.element_of_collection @t53 @t2))) % 0.38/0.65 (define @t59 () (not (tptp.element_of_set @t21 @t12))) % 0.38/0.65 (define @t60 () (@list @t12 @t2 @t21 @t53 @t52)) % 0.38/0.65 (define @t61 () (tptp.f7 @t12 @t2)) % 0.38/0.65 (define @t62 () (not @t48)) % 0.38/0.65 (define @t63 () (tptp.f8 @t12 @t2)) % 0.38/0.65 (define @t64 () (tptp.f9 @t12 @t2)) % 0.38/0.65 (define @t65 () (tptp.intersection_of_sets @t63 @t64)) % 0.38/0.65 (define @t66 () (@var "Uu9" $$unsorted)) % 0.38/0.65 (define @t67 () (tptp.f10 @t2 @t1 @t12)) % 0.38/0.65 (define @t68 () (not (tptp.element_of_set @t12 @t1))) % 0.38/0.65 (define @t69 () (tptp.element_of_collection @t1 (tptp.top_of_basis @t2))) % 0.38/0.65 (define @t70 () (not @t69)) % 0.38/0.65 (define @t71 () (@list @t1 @t2 @t12)) % 0.38/0.65 (define @t72 () (tptp.f11 @t2 @t1)) % 0.38/0.65 (define @t73 () (@var "Uu11" $$unsorted)) % 0.38/0.65 (define @t74 () (tptp.element_of_collection @t1 (tptp.subspace_topology @t12 @t13 @t21))) % 0.38/0.65 (define @t75 () (not @t74)) % 0.38/0.65 (define @t76 () (@list @t1 @t12 @t13 @t21)) % 0.38/0.65 (define @t77 () (tptp.subset_sets @t21 @t12)) % 0.38/0.65 (define @t78 () (tptp.f12 @t12 @t13 @t21 @t1)) % 0.38/0.65 (define @t79 () (@var "Uu12" $$unsorted)) % 0.38/0.65 (define @t80 () (not @t77)) % 0.38/0.65 (define @t81 () (tptp.element_of_set @t1 (tptp.interior @t21 @t12 @t13))) % 0.38/0.65 (define @t82 () (not @t81)) % 0.38/0.65 (define @t83 () (@list @t1 @t21 @t12 @t13)) % 0.38/0.65 (define @t84 () (tptp.f13 @t21 @t12 @t13 @t1)) % 0.38/0.65 (define @t85 () (@var "Uu13" $$unsorted)) % 0.38/0.65 (define @t86 () (tptp.element_of_set @t1 (tptp.closure @t21 @t12 @t13))) % 0.38/0.65 (define @t87 () (not @t86)) % 0.38/0.65 (define @t88 () (@var "V" $$unsorted)) % 0.38/0.65 (define @t89 () (tptp.f14 @t21 @t12 @t13 @t1)) % 0.38/0.65 (define @t90 () (tptp.neighborhood @t1 @t21 @t12 @t13)) % 0.38/0.65 (define @t91 () (not @t90)) % 0.38/0.65 (define @t92 () (tptp.element_of_set @t21 @t1)) % 0.38/0.65 (define @t93 () (tptp.limit_point @t20 @t21 @t12 @t13)) % 0.38/0.65 (define @t94 () (not @t93)) % 0.38/0.65 (define @t95 () (@list @t20 @t21 @t12 @t13)) % 0.38/0.65 (define @t96 () (tptp.f15 @t20 @t21 @t12 @t13 @t1)) % 0.38/0.65 (define @t97 () (not (tptp.neighborhood @t1 @t20 @t12 @t13))) % 0.38/0.65 (define @t98 () (@list @t20 @t21 @t12 @t13 @t1)) % 0.38/0.65 (define @t99 () (tptp.f16 @t20 @t21 @t12 @t13)) % 0.38/0.65 (define @t100 () (@var "Uu16" $$unsorted)) % 0.38/0.65 (define @t101 () (tptp.element_of_set @t1 (tptp.boundary @t21 @t12 @t13))) % 0.38/0.65 (define @t102 () (not @t101)) % 0.38/0.65 (define @t103 () (tptp.element_of_set @t1 (tptp.closure (tptp.relative_complement_sets @t21 @t12) @t12 @t13))) % 0.38/0.65 (define @t104 () (tptp.hausdorff @t12 @t13)) % 0.38/0.65 (define @t105 () (not @t104)) % 0.38/0.65 (define @t106 () (@var "X_1" $$unsorted)) % 0.38/0.65 (define @t107 () (@var "X_2" $$unsorted)) % 0.38/0.65 (define @t108 () (tptp.f17 @t12 @t13 @t106 @t107)) % 0.38/0.65 (define @t109 () (tptp.eq_p @t106 @t107)) % 0.38/0.65 (define @t110 () (not (tptp.element_of_set @t107 @t12))) % 0.38/0.65 (define @t111 () (not (tptp.element_of_set @t106 @t12))) % 0.38/0.65 (define @t112 () (@list @t12 @t13 @t106 @t107)) % 0.38/0.65 (define @t113 () (tptp.f18 @t12 @t13 @t106 @t107)) % 0.38/0.65 (define @t114 () (tptp.f19 @t12 @t13)) % 0.38/0.65 (define @t115 () (tptp.f20 @t12 @t13)) % 0.38/0.65 (define @t116 () (@var "Uu20" $$unsorted)) % 0.38/0.65 (define @t117 () (@var "Uu19" $$unsorted)) % 0.38/0.65 (define @t118 () (@var "Va2" $$unsorted)) % 0.38/0.65 (define @t119 () (@var "Va1" $$unsorted)) % 0.38/0.65 (define @t120 () (tptp.separation @t119 @t118 @t12 @t13)) % 0.38/0.65 (define @t121 () (not @t120)) % 0.38/0.65 (define @t122 () (@list @t119 @t118 @t12 @t13)) % 0.38/0.65 (define @t123 () (tptp.equal_sets @t119 tptp.empty_set)) % 0.38/0.65 (define @t124 () (tptp.equal_sets @t118 tptp.empty_set)) % 0.38/0.65 (define @t125 () (tptp.element_of_collection @t119 @t13)) % 0.38/0.65 (define @t126 () (tptp.element_of_collection @t118 @t13)) % 0.38/0.65 (define @t127 () (tptp.equal_sets (tptp.union_of_sets @t119 @t118) @t12)) % 0.38/0.65 (define @t128 () (tptp.disjoint_s @t119 @t118)) % 0.38/0.65 (define @t129 () (tptp.connected_space @t12 @t13)) % 0.38/0.65 (define @t130 () (not @t129)) % 0.38/0.65 (define @t131 () (tptp.connected_set @t9 @t12 @t13)) % 0.38/0.65 (define @t132 () (not @t131)) % 0.38/0.65 (define @t133 () (@list @t9 @t12 @t13)) % 0.38/0.65 (define @t134 () (tptp.subset_sets @t9 @t12)) % 0.38/0.65 (define @t135 () (tptp.subspace_topology @t12 @t13 @t9)) % 0.38/0.65 (define @t136 () (tptp.connected_space @t9 @t135)) % 0.38/0.65 (define @t137 () (not @t134)) % 0.38/0.65 (define @t138 () (tptp.open_covering @t2 @t12 @t13)) % 0.38/0.65 (define @t139 () (not @t138)) % 0.38/0.65 (define @t140 () (@list @t2 @t12 @t13)) % 0.38/0.65 (define @t141 () (tptp.compact_space @t12 @t13)) % 0.38/0.65 (define @t142 () (not @t141)) % 0.38/0.65 (define @t143 () (@var "Vf1" $$unsorted)) % 0.38/0.65 (define @t144 () (tptp.f23 @t12 @t13 @t143)) % 0.38/0.65 (define @t145 () (not (tptp.open_covering @t143 @t12 @t13))) % 0.38/0.65 (define @t146 () (@list @t12 @t13 @t143)) % 0.38/0.65 (define @t147 () (tptp.f24 @t12 @t13)) % 0.38/0.65 (define @t148 () (@var "Uu24" $$unsorted)) % 0.38/0.65 (define @t149 () (tptp.compact_set @t9 @t12 @t13)) % 0.38/0.65 (define @t150 () (not @t149)) % 0.38/0.65 (define @t151 () (tptp.compact_space @t9 @t135)) % 0.38/0.65 (define @t152 () (tptp.top_of_basis tptp.f)) % 0.38/0.65 (define @t153 () (forall (@list @t1) (tptp.element_of_collection @t1 @t152))) % 0.38/0.65 (define @t154 () (tptp.f4 tptp.cx tptp.f)) % 0.38/0.65 (define @t155 () (tptp.f3 tptp.cx tptp.f)) % 0.38/0.65 (define @t156 () (tptp.intersection_of_sets @t155 @t154)) % 0.38/0.65 (define @t157 () (tptp.element_of_collection @t156 @t152)) % 0.38/0.65 (assume @p1 (forall @t7 (or @t6 (tptp.element_of_set @t1 @t3)))) % 0.38/0.65 (assume @p2 (forall @t7 (or @t6 (tptp.element_of_collection @t3 @t2)))) % 0.38/0.65 (assume @p3 (forall (@list @t1 @t2 @t8) (or @t5 (not (tptp.element_of_set @t1 @t8)) (not (tptp.element_of_collection @t8 @t2))))) % 0.38/0.65 (assume @p4 (forall (@list @t1 @t2 @t9) (or (not @t10) (not (tptp.element_of_collection @t9 @t2)) (tptp.element_of_set @t1 @t9)))) % 0.38/0.65 (assume @p5 (forall @t7 (or @t10 (tptp.element_of_collection @t11 @t2)))) % 0.38/0.65 (assume @p6 (forall @t7 (or @t10 (not (tptp.element_of_set @t1 @t11))))) % 0.38/0.65 (assume @p7 (forall @t17 (or @t16 @t14))) % 0.38/0.65 (assume @p8 (forall @t17 (or @t16 @t18))) % 0.38/0.65 (assume @p9 (forall @t17 (or @t16 @t19))) % 0.38/0.65 (assume @p10 (forall (@list @t12 @t13 @t21 @t20) (or @t16 (not (tptp.element_of_collection @t21 @t13)) (not (tptp.element_of_collection @t20 @t13)) (tptp.element_of_collection (tptp.intersection_of_sets @t21 @t20) @t13)))) % 0.38/0.65 (assume @p11 (forall (@list @t12 @t13 @t2) (or @t16 @t23 (tptp.element_of_collection @t4 @t13)))) % 0.38/0.65 (assume @p12 (forall @t17 (or @t15 @t30 @t29 @t28 @t27 @t25))) % 0.38/0.65 (assume @p13 (forall @t17 (or @t15 @t30 @t29 @t28 @t27 @t31))) % 0.38/0.65 (assume @p14 (forall @t17 (or @t15 @t30 @t29 @t28 @t33 @t25))) % 0.38/0.65 (assume @p15 (forall @t17 (or @t15 @t30 @t29 @t28 @t33 @t31))) % 0.38/0.65 (assume @p16 (forall @t17 (or @t15 @t30 @t29 @t28 @t34 @t25))) % 0.38/0.65 (assume @p17 (forall @t17 (or @t15 @t30 @t29 @t28 @t34 @t31))) % 0.38/0.65 (assume @p18 (forall @t37 (or @t36 @t15))) % 0.38/0.65 (assume @p19 (forall @t37 (or @t36 @t38))) % 0.38/0.65 (assume @p20 (forall @t37 (or @t35 @t16 (not @t38)))) % 0.38/0.65 (assume @p21 (forall @t37 (or @t40 @t15))) % 0.38/0.65 (assume @p22 (forall @t37 (or @t40 @t41))) % 0.38/0.65 (assume @p23 (forall @t37 (or @t39 @t16 (not @t41)))) % 0.38/0.65 (assume @p24 (forall @t45 (or @t44 @t15))) % 0.38/0.65 (assume @p25 (forall @t45 (or @t44 @t46))) % 0.38/0.65 (assume @p26 (forall @t45 (or @t44 @t47))) % 0.38/0.65 (assume @p27 (forall @t45 (or @t43 @t16 (not @t46) (not @t47)))) % 0.38/0.65 (assume @p28 (forall @t51 (or @t50 @t48))) % 0.38/0.65 (assume @p29 (forall @t60 (or @t50 @t59 @t58 @t57 @t56 (tptp.element_of_set @t21 @t54)))) % 0.38/0.65 (assume @p30 (forall @t60 (or @t50 @t59 @t58 @t57 @t56 (tptp.element_of_collection @t54 @t2)))) % 0.38/0.65 (assume @p31 (forall @t60 (or @t50 @t59 @t58 @t57 @t56 (tptp.subset_sets @t54 @t55)))) % 0.38/0.65 (assume @p32 (forall @t51 (or @t49 @t62 (tptp.element_of_set @t61 @t12)))) % 0.38/0.65 (assume @p33 (forall @t51 (or @t49 @t62 (tptp.element_of_collection @t63 @t2)))) % 0.38/0.65 (assume @p34 (forall @t51 (or @t49 @t62 (tptp.element_of_collection @t64 @t2)))) % 0.38/0.65 (assume @p35 (forall @t51 (or @t49 @t62 (tptp.element_of_set @t61 @t65)))) % 0.38/0.65 (assume @p36 (forall (@list @t12 @t2 @t66) (or @t49 @t62 (not (tptp.element_of_set @t61 @t66)) (not (tptp.element_of_collection @t66 @t2)) (not (tptp.subset_sets @t66 @t65))))) % 0.38/0.65 (assume @p37 (forall @t71 (or @t70 @t68 (tptp.element_of_set @t12 @t67)))) % 0.38/0.65 (assume @p38 (forall @t71 (or @t70 @t68 (tptp.element_of_collection @t67 @t2)))) % 0.38/0.65 (assume @p39 (forall @t71 (or @t70 @t68 (tptp.subset_sets @t67 @t1)))) % 0.38/0.65 (assume @p40 (forall @t7 (or @t69 (tptp.element_of_set @t72 @t1)))) % 0.38/0.65 (assume @p41 (forall (@list @t1 @t2 @t73) (or @t69 (not (tptp.element_of_set @t72 @t73)) (not (tptp.element_of_collection @t73 @t2)) (not (tptp.subset_sets @t73 @t1))))) % 0.38/0.65 (assume @p42 (forall @t76 (or @t75 @t15))) % 0.38/0.65 (assume @p43 (forall @t76 (or @t75 @t77))) % 0.38/0.65 (assume @p44 (forall @t76 (or @t75 (tptp.element_of_collection @t78 @t13)))) % 0.38/0.65 (assume @p45 (forall @t76 (or @t75 (tptp.equal_sets @t1 (tptp.intersection_of_sets @t21 @t78))))) % 0.38/0.65 (assume @p46 (forall (@list @t1 @t12 @t13 @t21 @t79) (or @t74 @t16 @t80 (not (tptp.element_of_collection @t79 @t13)) (not (tptp.equal_sets @t1 (tptp.intersection_of_sets @t21 @t79)))))) % 0.38/0.65 (assume @p47 (forall @t83 (or @t82 @t15))) % 0.38/0.65 (assume @p48 (forall @t83 (or @t82 @t77))) % 0.38/0.65 (assume @p49 (forall @t83 (or @t82 (tptp.element_of_set @t1 @t84)))) % 0.38/0.65 (assume @p50 (forall @t83 (or @t82 (tptp.subset_sets @t84 @t21)))) % 0.38/0.65 (assume @p51 (forall @t83 (or @t82 (tptp.open @t84 @t12 @t13)))) % 0.38/0.65 (assume @p52 (forall (@list @t1 @t21 @t12 @t13 @t85) (or @t81 @t16 @t80 (not (tptp.element_of_set @t1 @t85)) (not (tptp.subset_sets @t85 @t21)) (not (tptp.open @t85 @t12 @t13))))) % 0.38/0.65 (assume @p53 (forall @t83 (or @t87 @t15))) % 0.38/0.65 (assume @p54 (forall @t83 (or @t87 @t77))) % 0.38/0.65 (assume @p55 (forall (@list @t1 @t21 @t12 @t13 @t88) (or @t87 (not (tptp.subset_sets @t21 @t88)) (not (tptp.closed @t88 @t12 @t13)) (tptp.element_of_set @t1 @t88)))) % 0.38/0.65 (assume @p56 (forall @t83 (or @t86 @t16 @t80 (tptp.subset_sets @t21 @t89)))) % 0.38/0.65 (assume @p57 (forall @t83 (or @t86 @t16 @t80 (tptp.closed @t89 @t12 @t13)))) % 0.38/0.65 (assume @p58 (forall @t83 (or @t86 @t16 @t80 (not (tptp.element_of_set @t1 @t89))))) % 0.38/0.65 (assume @p59 (forall @t83 (or @t91 @t15))) % 0.38/0.65 (assume @p60 (forall @t83 (or @t91 @t35))) % 0.38/0.65 (assume @p61 (forall @t83 (or @t91 @t92))) % 0.38/0.65 (assume @p62 (forall @t83 (or @t90 @t16 @t36 (not @t92)))) % 0.38/0.65 (assume @p63 (forall @t95 (or @t94 @t15))) % 0.38/0.65 (assume @p64 (forall @t95 (or @t94 @t77))) % 0.38/0.65 (assume @p65 (forall @t98 (or @t94 @t97 (tptp.element_of_set @t96 (tptp.intersection_of_sets @t1 @t21))))) % 0.38/0.65 (assume @p66 (forall @t98 (or @t94 @t97 (not (tptp.eq_p @t96 @t20))))) % 0.38/0.65 (assume @p67 (forall @t95 (or @t93 @t16 @t80 (tptp.neighborhood @t99 @t20 @t12 @t13)))) % 0.38/0.65 (assume @p68 (forall (@list @t20 @t21 @t12 @t13 @t100) (or @t93 @t16 @t80 (not (tptp.element_of_set @t100 (tptp.intersection_of_sets @t99 @t21))) (tptp.eq_p @t100 @t20)))) % 0.38/0.65 (assume @p69 (forall @t83 (or @t102 @t15))) % 0.38/0.65 (assume @p70 (forall @t83 (or @t102 @t86))) % 0.38/0.65 (assume @p71 (forall @t83 (or @t102 @t103))) % 0.38/0.65 (assume @p72 (forall @t83 (or @t101 @t16 @t87 (not @t103)))) % 0.38/0.65 (assume @p73 (forall @t17 (or @t105 @t15))) % 0.38/0.65 (assume @p74 (forall @t112 (or @t105 @t111 @t110 @t109 (tptp.neighborhood @t108 @t106 @t12 @t13)))) % 0.38/0.65 (assume @p75 (forall @t112 (or @t105 @t111 @t110 @t109 (tptp.neighborhood @t113 @t107 @t12 @t13)))) % 0.38/0.65 (assume @p76 (forall @t112 (or @t105 @t111 @t110 @t109 (tptp.disjoint_s @t108 @t113)))) % 0.38/0.65 (assume @p77 (forall @t17 (or @t104 @t16 (tptp.element_of_set @t114 @t12)))) % 0.38/0.65 (assume @p78 (forall @t17 (or @t104 @t16 (tptp.element_of_set @t115 @t12)))) % 0.38/0.65 (assume @p79 (forall @t17 (or @t104 @t16 (not (tptp.eq_p @t114 @t115))))) % 0.38/0.65 (assume @p80 (forall (@list @t12 @t13 @t117 @t116) (or @t104 @t16 (not (tptp.neighborhood @t117 @t114 @t12 @t13)) (not (tptp.neighborhood @t116 @t115 @t12 @t13)) (not (tptp.disjoint_s @t117 @t116))))) % 0.38/0.65 (assume @p81 (forall @t122 (or @t121 @t15))) % 0.38/0.65 (assume @p82 (forall @t122 (or @t121 (not @t123)))) % 0.38/0.65 (assume @p83 (forall @t122 (or @t121 (not @t124)))) % 0.38/0.65 (assume @p84 (forall @t122 (or @t121 @t125))) % 0.38/0.65 (assume @p85 (forall @t122 (or @t121 @t126))) % 0.38/0.65 (assume @p86 (forall @t122 (or @t121 @t127))) % 0.38/0.65 (assume @p87 (forall @t122 (or @t121 @t128))) % 0.38/0.65 (assume @p88 (forall @t122 (or @t120 @t16 @t123 @t124 (not @t125) (not @t126) (not @t127) (not @t128)))) % 0.38/0.65 (assume @p89 (forall @t17 (or @t130 @t15))) % 0.38/0.65 (assume @p90 (forall (@list @t12 @t13 @t119 @t118) (or @t130 @t121))) % 0.38/0.65 (assume @p91 (forall @t17 (or @t129 @t16 (tptp.separation (tptp.f21 @t12 @t13) (tptp.f22 @t12 @t13) @t12 @t13)))) % 0.38/0.65 (assume @p92 (forall @t133 (or @t132 @t15))) % 0.38/0.65 (assume @p93 (forall @t133 (or @t132 @t134))) % 0.38/0.65 (assume @p94 (forall @t133 (or @t132 @t136))) % 0.38/0.65 (assume @p95 (forall @t133 (or @t131 @t16 @t137 (not @t136)))) % 0.38/0.65 (assume @p96 (forall @t140 (or @t139 @t15))) % 0.38/0.65 (assume @p97 (forall @t140 (or @t139 @t22))) % 0.38/0.65 (assume @p98 (forall @t140 (or @t139 @t48))) % 0.38/0.65 (assume @p99 (forall @t140 (or @t138 @t16 @t23 @t62))) % 0.38/0.65 (assume @p100 (forall @t17 (or @t142 @t15))) % 0.38/0.65 (assume @p101 (forall @t146 (or @t142 @t145 (tptp.finite @t144)))) % 0.38/0.65 (assume @p102 (forall @t146 (or @t142 @t145 (tptp.subset_collections @t144 @t143)))) % 0.38/0.65 (assume @p103 (forall @t146 (or @t142 @t145 (tptp.open_covering @t144 @t12 @t13)))) % 0.38/0.65 (assume @p104 (forall @t17 (or @t141 @t16 (tptp.open_covering @t147 @t12 @t13)))) % 0.38/0.65 (assume @p105 (forall (@list @t12 @t13 @t148) (or @t141 @t16 (not (tptp.finite @t148)) (not (tptp.subset_collections @t148 @t147)) (not (tptp.open_covering @t148 @t12 @t13))))) % 0.38/0.65 (assume @p106 (forall @t133 (or @t150 @t15))) % 0.38/0.65 (assume @p107 (forall @t133 (or @t150 @t134))) % 0.38/0.65 (assume @p108 (forall @t133 (or @t150 @t151))) % 0.38/0.65 (assume @p109 (forall @t133 (or @t149 @t16 @t137 (not @t151)))) % 0.38/0.65 (assume @p110 (tptp.basis tptp.cx tptp.f)) % 0.38/0.65 (assume @p111 @t153) % 0.38/0.65 (assume @p112 (forall (@list @t88) (tptp.element_of_collection @t88 @t152))) % 0.38/0.65 (assume @p113 (forall (@list @t1 @t88) (not (tptp.element_of_collection (tptp.intersection_of_sets @t1 @t88) @t152)))) % 0.38/0.65 (step @p114 :rule instantiate :premises (@p113) :args ((@list @t155 @t154))) % 0.38/0.65 (assume-push @p121 @t153) % 0.38/0.65 (step @p116 :rule instantiate :premises (@p111) :args ((@list @t156))) % 0.38/0.65 (step-pop @p122 :rule scope :premises (@p116)) % 0.38/0.65 (step @p117 :rule process_scope :premises (@p122) :args (@t157)) % 0.38/0.65 (step @p119 :rule implies_elim :premises (@p117)) % 0.38/0.65 (step @p120 false :rule chain_m_resolution :premises (@p119 @p114 @p111) :args (false (@list true false) (@list @t157 @t153))) % 0.38/0.65 ) % 0.38/0.65 % SZS output end Proof % 0.38/0.65 % cvc5 exiting %------------------------------------------------------------------------------