%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU395+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:37 AM UTC 2026 % Result : Theorem 0.38s 0.80s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU395+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:06:31 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.80 % SZS status Theorem % 0.38/0.80 % SZS output start Proof % 0.38/0.80 ( % 0.38/0.80 (declare-sort $$unsorted 0) % 0.38/0.80 (declare-const tptp.is_a_convergence_point_of_set (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.is_eventually_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.dense (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.proper_element (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.directed_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.v1_yellow_3 (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.distributive_relstr (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.heyting_relstr (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.complemented_relstr (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.bounded_relstr (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.up_complete_relstr (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.a_2_1_yellow19 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.filtered_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.net_of_bool_filter (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.trivial_carrier (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.join_complete_relstr (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.nowhere_dense (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.filter_of_net_str (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.upper_relstr_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.strict_net_str (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.with_suprema_relstr (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.top_str (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.net_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.upper_bounded_relstr (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.boole_POSet (-> $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.with_infima_relstr (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.complete_relstr (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.lower_relstr_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.boundary_set (-> $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.connected_relstr (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.boolean_relstr (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.lim_points_of_net (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.80 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.directed_relstr (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.empty_set $$unsorted) % 0.38/0.80 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.80 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.38/0.80 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.80 (define @t2 () (tptp.the_InternalRel @t1)) % 0.38/0.80 (define @t3 () (tptp.the_carrier @t1)) % 0.38/0.80 (define @t4 () (tptp.strict_rel_str @t1)) % 0.38/0.80 (define @t5 () (tptp.rel_str @t1)) % 0.38/0.80 (define @t6 () (@list @t1)) % 0.38/0.80 (define @t7 () (@var "B" $$unsorted)) % 0.38/0.80 (define @t8 () (tptp.the_mapping @t1 @t7)) % 0.38/0.80 (define @t9 () (tptp.the_carrier @t7)) % 0.38/0.80 (define @t10 () (tptp.strict_net_str @t7 @t1)) % 0.38/0.80 (define @t11 () (tptp.net_str @t7 @t1)) % 0.38/0.80 (define @t12 () (tptp.one_sorted_str @t1)) % 0.38/0.80 (define @t13 () (and @t12 @t11)) % 0.38/0.80 (define @t14 () (@list @t1 @t7)) % 0.38/0.80 (define @t15 () (tptp.in @t1 @t7)) % 0.38/0.80 (define @t16 () (tptp.join_complete_relstr @t1)) % 0.38/0.80 (define @t17 () (tptp.up_complete_relstr @t1)) % 0.38/0.80 (define @t18 () (tptp.reflexive_relstr @t1)) % 0.38/0.80 (define @t19 () (tptp.empty_carrier @t1)) % 0.38/0.80 (define @t20 () (not @t19)) % 0.38/0.80 (define @t21 () (tptp.complete_relstr @t1)) % 0.38/0.80 (define @t22 () (tptp.lower_bounded_relstr @t1)) % 0.38/0.80 (define @t23 () (tptp.bounded_relstr @t1)) % 0.38/0.80 (define @t24 () (tptp.upper_bounded_relstr @t1)) % 0.38/0.80 (define @t25 () (tptp.with_infima_relstr @t1)) % 0.38/0.80 (define @t26 () (tptp.with_suprema_relstr @t1)) % 0.38/0.80 (define @t27 () (tptp.antisymmetric_relstr @t1)) % 0.38/0.80 (define @t28 () (tptp.transitive_relstr @t1)) % 0.38/0.80 (define @t29 () (tptp.finite @t1)) % 0.38/0.80 (define @t30 () (tptp.empty @t1)) % 0.38/0.80 (define @t31 () (tptp.relation @t1)) % 0.38/0.80 (define @t32 () (@var "C" $$unsorted)) % 0.38/0.80 (define @t33 () (tptp.cartesian_product2 @t1 @t7)) % 0.38/0.80 (define @t34 () (tptp.element @t32 (tptp.powerset @t33))) % 0.38/0.80 (define @t35 () (@list @t1 @t7 @t32)) % 0.38/0.80 (define @t36 () (tptp.closed_subset @t7 @t1)) % 0.38/0.80 (define @t37 () (tptp.open_subset @t7 @t1)) % 0.38/0.80 (define @t38 () (tptp.empty @t7)) % 0.38/0.80 (define @t39 () (tptp.powerset @t3)) % 0.38/0.80 (define @t40 () (tptp.element @t7 @t39)) % 0.38/0.80 (define @t41 () (@list @t7)) % 0.38/0.80 (define @t42 () (tptp.top_str @t1)) % 0.38/0.80 (define @t43 () (tptp.topological_space @t1)) % 0.38/0.80 (define @t44 () (and @t43 @t42)) % 0.38/0.80 (define @t45 () (and @t20 @t21)) % 0.38/0.80 (define @t46 () (tptp.finite @t7)) % 0.38/0.80 (define @t47 () (tptp.powerset @t1)) % 0.38/0.80 (define @t48 () (tptp.element @t7 @t47)) % 0.38/0.80 (define @t49 () (tptp.boundary_set @t7 @t1)) % 0.38/0.80 (define @t50 () (tptp.trivial_carrier @t1)) % 0.38/0.80 (define @t51 () (and @t20 @t18 @t50)) % 0.38/0.80 (define @t52 () (tptp.nowhere_dense @t7 @t1)) % 0.38/0.80 (define @t53 () (and @t22 @t24)) % 0.38/0.80 (define @t54 () (tptp.connected_relstr @t1)) % 0.38/0.80 (define @t55 () (tptp.v5_membered @t7)) % 0.38/0.80 (define @t56 () (tptp.v4_membered @t7)) % 0.38/0.80 (define @t57 () (tptp.v3_membered @t7)) % 0.38/0.80 (define @t58 () (tptp.v2_membered @t7)) % 0.38/0.80 (define @t59 () (tptp.v1_membered @t7)) % 0.38/0.80 (define @t60 () (tptp.filter_of_net_str @t1 @t7)) % 0.38/0.80 (define @t61 () (tptp.empty_carrier @t7)) % 0.38/0.80 (define @t62 () (not @t61)) % 0.38/0.80 (define @t63 () (and @t20 @t12)) % 0.38/0.80 (define @t64 () (tptp.rel_str_of @t1 @t7)) % 0.38/0.80 (define @t65 () (tptp.relation_of2 @t7 @t1 @t1)) % 0.38/0.80 (define @t66 () (@var "D" $$unsorted)) % 0.38/0.80 (define @t67 () (tptp.net_str_of @t1 @t7 @t32 @t66)) % 0.38/0.80 (define @t68 () (tptp.strict_net_str @t67 @t1)) % 0.38/0.80 (define @t69 () (tptp.relation_of2 @t66 @t7 @t3)) % 0.38/0.80 (define @t70 () (tptp.quasi_total @t66 @t7 @t3)) % 0.38/0.80 (define @t71 () (tptp.function @t66)) % 0.38/0.80 (define @t72 () (tptp.relation_of2 @t32 @t7 @t7)) % 0.38/0.80 (define @t73 () (and @t12 @t72 @t71 @t70 @t69)) % 0.38/0.80 (define @t74 () (@list @t1 @t7 @t32 @t66)) % 0.38/0.80 (define @t75 () (tptp.lim_points_of_net @t1 @t7)) % 0.38/0.80 (define @t76 () (tptp.directed_relstr @t7)) % 0.38/0.80 (define @t77 () (tptp.transitive_relstr @t7)) % 0.38/0.80 (define @t78 () (tptp.cast_as_carrier_subset @t1)) % 0.38/0.80 (define @t79 () (tptp.element @t78 @t39)) % 0.38/0.80 (define @t80 () (forall @t6 (=> @t12 @t79))) % 0.38/0.80 (define @t81 () (tptp.boole_POSet @t78)) % 0.38/0.80 (define @t82 () (tptp.powerset (tptp.the_carrier @t81))) % 0.38/0.80 (define @t83 () (and @t20 @t12 @t62 @t11)) % 0.38/0.80 (define @t84 () (tptp.net_of_bool_filter @t1 @t7 @t32)) % 0.38/0.80 (define @t85 () (tptp.strict_net_str @t84 @t1)) % 0.38/0.80 (define @t86 () (not (tptp.empty_carrier @t84))) % 0.38/0.80 (define @t87 () (and @t86 @t85 (tptp.net_str @t84 @t1))) % 0.38/0.80 (define @t88 () (tptp.boole_POSet @t7)) % 0.38/0.80 (define @t89 () (tptp.powerset (tptp.the_carrier @t88))) % 0.38/0.80 (define @t90 () (tptp.element @t32 @t89)) % 0.38/0.80 (define @t91 () (tptp.upper_relstr_subset @t32 @t88)) % 0.38/0.80 (define @t92 () (tptp.filtered_subset @t32 @t88)) % 0.38/0.80 (define @t93 () (tptp.empty @t32)) % 0.38/0.80 (define @t94 () (not @t93)) % 0.38/0.80 (define @t95 () (not @t38)) % 0.38/0.80 (define @t96 () (and @t20 @t12 @t95 @t40 @t94 @t92 @t91 @t90)) % 0.38/0.80 (define @t97 () (forall @t35 (=> @t96 @t87))) % 0.38/0.80 (define @t98 () (tptp.boole_POSet @t1)) % 0.38/0.80 (define @t99 () (tptp.strict_rel_str @t98)) % 0.38/0.80 (define @t100 () (forall @t6 (=> @t42 @t12))) % 0.38/0.80 (define @t101 () (tptp.relation_of2_as_subset @t32 @t1 @t7)) % 0.38/0.80 (define @t102 () (tptp.quasi_total @t8 @t9 @t3)) % 0.38/0.80 (define @t103 () (tptp.function @t8)) % 0.38/0.80 (define @t104 () (tptp.relation_of2 @t32 @t1 @t7)) % 0.38/0.80 (define @t105 () (@list @t32)) % 0.38/0.80 (define @t106 () (tptp.relation tptp.empty_set)) % 0.38/0.80 (define @t107 () (tptp.empty tptp.empty_set)) % 0.38/0.80 (define @t108 () (not (tptp.empty @t78))) % 0.38/0.80 (define @t109 () (and @t20 @t5)) % 0.38/0.80 (define @t110 () (tptp.complete_relstr @t98)) % 0.38/0.80 (define @t111 () (tptp.with_infima_relstr @t98)) % 0.38/0.80 (define @t112 () (tptp.with_suprema_relstr @t98)) % 0.38/0.80 (define @t113 () (tptp.boolean_relstr @t98)) % 0.38/0.80 (define @t114 () (tptp.complemented_relstr @t98)) % 0.38/0.80 (define @t115 () (tptp.heyting_relstr @t98)) % 0.38/0.80 (define @t116 () (tptp.distributive_relstr @t98)) % 0.38/0.80 (define @t117 () (not (tptp.v1_yellow_3 @t98))) % 0.38/0.80 (define @t118 () (tptp.join_complete_relstr @t98)) % 0.38/0.80 (define @t119 () (tptp.up_complete_relstr @t98)) % 0.38/0.80 (define @t120 () (tptp.bounded_relstr @t98)) % 0.38/0.80 (define @t121 () (tptp.upper_bounded_relstr @t98)) % 0.38/0.80 (define @t122 () (tptp.lower_bounded_relstr @t98)) % 0.38/0.80 (define @t123 () (tptp.antisymmetric_relstr @t98)) % 0.38/0.80 (define @t124 () (tptp.transitive_relstr @t98)) % 0.38/0.80 (define @t125 () (tptp.reflexive_relstr @t98)) % 0.38/0.80 (define @t126 () (not (tptp.empty_carrier @t98))) % 0.38/0.80 (define @t127 () (forall @t6 (=> @t63 @t108))) % 0.38/0.80 (define @t128 () (and @t108 (tptp.directed_subset @t78 @t1))) % 0.38/0.80 (define @t129 () (not @t30)) % 0.38/0.80 (define @t130 () (tptp.upper_relstr_subset @t60 @t81)) % 0.38/0.80 (define @t131 () (not (tptp.empty @t60))) % 0.38/0.80 (define @t132 () (and @t108 (tptp.filtered_subset @t78 @t1))) % 0.38/0.80 (define @t133 () (tptp.transitive_relstr @t84)) % 0.38/0.80 (define @t134 () (tptp.reflexive_relstr @t84)) % 0.38/0.80 (define @t135 () (and @t86 @t134 @t133 @t85)) % 0.38/0.80 (define @t136 () (forall @t35 (=> @t96 @t135))) % 0.38/0.80 (define @t137 () (tptp.closed_subset @t78 @t1)) % 0.38/0.80 (define @t138 () (and @t86 @t134 @t133 @t85 (tptp.directed_relstr @t84))) % 0.38/0.80 (define @t139 () (tptp.proper_element @t32 @t89)) % 0.38/0.80 (define @t140 () (and @t20 @t12 @t95 @t40 @t94 @t92 @t91 @t139 @t90)) % 0.38/0.80 (define @t141 () (forall @t35 (=> @t140 @t138))) % 0.38/0.80 (define @t142 () (@var "H" $$unsorted)) % 0.38/0.80 (define @t143 () (@var "G" $$unsorted)) % 0.38/0.80 (define @t144 () (@var "F" $$unsorted)) % 0.38/0.80 (define @t145 () (@var "E" $$unsorted)) % 0.38/0.80 (define @t146 () (tptp.upper_relstr_subset @t7 @t1)) % 0.38/0.80 (define @t147 () (tptp.filtered_subset @t7 @t1)) % 0.38/0.80 (define @t148 () (and @t20 @t18 @t28 @t5)) % 0.38/0.80 (define @t149 () (tptp.lower_relstr_subset @t7 @t1)) % 0.38/0.80 (define @t150 () (tptp.directed_subset @t7 @t1)) % 0.38/0.80 (define @t151 () (not @t50)) % 0.38/0.80 (define @t152 () (and @t20 @t43 @t42)) % 0.38/0.80 (define @t153 () (= (tptp.in @t32 @t75) (tptp.is_a_convergence_point_of_set @t1 @t60 @t32))) % 0.38/0.80 (define @t154 () (tptp.element @t32 @t3)) % 0.38/0.80 (define @t155 () (forall @t105 (=> @t154 @t153))) % 0.38/0.80 (define @t156 () (and @t62 @t77 @t76 @t11)) % 0.38/0.80 (define @t157 () (=> @t156 @t155)) % 0.38/0.80 (define @t158 () (forall @t41 @t157)) % 0.38/0.80 (define @t159 () (=> @t152 @t158)) % 0.38/0.80 (define @t160 () (forall @t6 @t159)) % 0.38/0.80 (define @t161 () (tptp.net_of_bool_filter @t1 @t78 @t7)) % 0.38/0.80 (define @t162 () (= @t7 (tptp.filter_of_net_str @t1 @t161))) % 0.38/0.80 (define @t163 () (tptp.element @t7 @t82)) % 0.38/0.80 (define @t164 () (tptp.proper_element @t7 @t82)) % 0.38/0.80 (define @t165 () (tptp.upper_relstr_subset @t7 @t81)) % 0.38/0.80 (define @t166 () (tptp.filtered_subset @t7 @t81)) % 0.38/0.80 (define @t167 () (and @t95 @t166 @t165 @t164 @t163)) % 0.38/0.80 (define @t168 () (forall @t41 (=> @t167 @t162))) % 0.38/0.80 (define @t169 () (=> @t63 @t168)) % 0.38/0.80 (define @t170 () (forall @t6 @t169)) % 0.38/0.80 (define @t171 () (tptp.lim_points_of_net @t1 @t161)) % 0.38/0.80 (define @t172 () (= (tptp.in @t32 @t171) (tptp.is_a_convergence_point_of_set @t1 @t7 @t32))) % 0.38/0.80 (define @t173 () (forall @t105 (=> @t154 @t172))) % 0.38/0.80 (define @t174 () (=> @t167 @t173)) % 0.38/0.80 (define @t175 () (forall @t41 @t174)) % 0.38/0.80 (define @t176 () (=> @t152 @t175)) % 0.38/0.80 (define @t177 () (forall @t6 @t176)) % 0.38/0.80 (define @t178 () (not @t177)) % 0.38/0.80 (define @t179 () (tptp.element @t1 @t7)) % 0.38/0.80 (define @t180 () (= @t1 @t7)) % 0.38/0.80 (define @t181 () (tptp.element @t7 (tptp.powerset @t32))) % 0.38/0.80 (define @t182 () (@var "BOUND_VARIABLE_9505" $$unsorted)) % 0.38/0.80 (define @t183 () (= @t182 (tptp.filter_of_net_str @t1 (tptp.net_of_bool_filter @t1 @t78 @t182)))) % 0.38/0.80 (define @t184 () (not (tptp.element @t182 @t82))) % 0.38/0.80 (define @t185 () (not (tptp.proper_element @t182 @t82))) % 0.38/0.80 (define @t186 () (not (tptp.upper_relstr_subset @t182 @t81))) % 0.38/0.80 (define @t187 () (not (tptp.filtered_subset @t182 @t81))) % 0.38/0.80 (define @t188 () (tptp.empty @t182)) % 0.38/0.80 (define @t189 () (not @t12)) % 0.38/0.80 (define @t190 () (or @t188 @t187 @t186 @t185 @t184 @t183)) % 0.38/0.80 (define @t191 () (or @t19 @t189 @t190)) % 0.38/0.80 (define @t192 () (forall (@list @t1 @t182) @t191)) % 0.38/0.80 (define @t193 () (@list @t182)) % 0.38/0.80 (define @t194 () (forall @t193 @t191)) % 0.38/0.80 (define @t195 () (forall @t193 @t190)) % 0.38/0.80 (define @t196 () (or @t19 @t189 @t195)) % 0.38/0.80 (define @t197 () (not @t163)) % 0.38/0.80 (define @t198 () (not @t164)) % 0.38/0.80 (define @t199 () (not @t165)) % 0.38/0.80 (define @t200 () (not @t166)) % 0.38/0.80 (define @t201 () (or @t38 @t200 @t199 @t198 @t197 @t162)) % 0.38/0.80 (define @t202 () (forall @t41 @t201)) % 0.38/0.80 (define @t203 () (or @t19 @t189 @t202)) % 0.38/0.80 (define @t204 () (or @t19 @t189)) % 0.38/0.80 (define @t205 () (not @t20)) % 0.38/0.80 (define @t206 () (not @t63)) % 0.38/0.80 (define @t207 () (or @t38 @t200 @t199 @t198 @t197)) % 0.38/0.80 (define @t208 () (not @t95)) % 0.38/0.80 (define @t209 () (or @t208 @t200 @t199 @t198 @t197)) % 0.38/0.80 (define @t210 () (not @t167)) % 0.38/0.80 (define @t211 () (@var "BOUND_VARIABLE_9551" $$unsorted)) % 0.38/0.80 (define @t212 () (@var "BOUND_VARIABLE_9549" $$unsorted)) % 0.38/0.80 (define @t213 () (= (tptp.in @t211 (tptp.lim_points_of_net @t1 (tptp.net_of_bool_filter @t1 @t78 @t212))) (tptp.is_a_convergence_point_of_set @t1 @t212 @t211))) % 0.38/0.80 (define @t214 () (not (tptp.element @t211 @t3))) % 0.38/0.80 (define @t215 () (not (tptp.element @t212 @t82))) % 0.38/0.80 (define @t216 () (not (tptp.proper_element @t212 @t82))) % 0.38/0.80 (define @t217 () (not (tptp.upper_relstr_subset @t212 @t81))) % 0.38/0.80 (define @t218 () (not (tptp.filtered_subset @t212 @t81))) % 0.38/0.80 (define @t219 () (tptp.empty @t212)) % 0.38/0.80 (define @t220 () (not @t42)) % 0.38/0.80 (define @t221 () (not @t43)) % 0.38/0.80 (define @t222 () (or @t19 @t221 @t220 @t219 @t218 @t217 @t216 @t215 @t214 @t213)) % 0.38/0.80 (define @t223 () (@list @t1 @t212 @t211)) % 0.38/0.80 (define @t224 () (forall @t223 @t222)) % 0.38/0.80 (define @t225 () (@quantifiers_skolemize @t224 1)) % 0.38/0.80 (define @t226 () (@quantifiers_skolemize @t224 0)) % 0.38/0.80 (define @t227 () (@list @t226)) % 0.38/0.80 (define @t228 () (or @t219 @t218 @t217 @t216 @t215 @t214 @t213)) % 0.38/0.80 (define @t229 () (or @t19 @t221 @t220 @t228)) % 0.38/0.80 (define @t230 () (forall @t223 @t229)) % 0.38/0.80 (define @t231 () (@list @t212 @t211)) % 0.38/0.80 (define @t232 () (forall @t231 @t229)) % 0.38/0.80 (define @t233 () (forall @t231 @t228)) % 0.38/0.80 (define @t234 () (@var "BOUND_VARIABLE_9532" $$unsorted)) % 0.38/0.80 (define @t235 () (or @t19 @t221 @t220 @t233)) % 0.38/0.80 (define @t236 () (= (tptp.in @t234 @t171) (tptp.is_a_convergence_point_of_set @t1 @t7 @t234))) % 0.38/0.80 (define @t237 () (not (tptp.element @t234 @t3))) % 0.38/0.80 (define @t238 () (or @t38 @t200 @t199 @t198 @t197 @t237 @t236)) % 0.38/0.80 (define @t239 () (@list @t7 @t234)) % 0.38/0.80 (define @t240 () (forall @t239 @t238)) % 0.38/0.80 (define @t241 () (or @t19 @t221 @t220 @t240)) % 0.38/0.80 (define @t242 () (or @t19 @t221 @t220)) % 0.38/0.80 (define @t243 () (or @t205 @t221 @t220)) % 0.38/0.80 (define @t244 () (not @t152)) % 0.38/0.80 (define @t245 () (or @t237 @t236)) % 0.38/0.80 (define @t246 () (or @t38 @t200 @t199 @t198 @t197 @t245)) % 0.38/0.80 (define @t247 () (forall @t239 @t246)) % 0.38/0.80 (define @t248 () (@list @t234)) % 0.38/0.80 (define @t249 () (forall @t248 @t246)) % 0.38/0.80 (define @t250 () (forall @t248 @t245)) % 0.38/0.80 (define @t251 () (@list @t32)) % 0.38/0.80 (define @t252 () (or @t38 @t200 @t199 @t198 @t197 @t250)) % 0.38/0.80 (define @t253 () (not @t154)) % 0.38/0.80 (define @t254 () (forall @t105 (or @t253 @t172))) % 0.38/0.80 (define @t255 () (or @t38 @t200 @t199 @t198 @t197 @t254)) % 0.38/0.80 (define @t256 () (tptp.top_str @t226)) % 0.38/0.80 (define @t257 () (@quantifiers_skolemize @t224 2)) % 0.38/0.80 (define @t258 () (tptp.is_a_convergence_point_of_set @t226 @t225 @t257)) % 0.38/0.80 (define @t259 () (tptp.cast_as_carrier_subset @t226)) % 0.38/0.80 (define @t260 () (tptp.net_of_bool_filter @t226 @t259 @t225)) % 0.38/0.80 (define @t261 () (tptp.in @t257 (tptp.lim_points_of_net @t226 @t260))) % 0.38/0.80 (define @t262 () (= @t261 @t258)) % 0.38/0.80 (define @t263 () (tptp.the_carrier @t226)) % 0.38/0.80 (define @t264 () (tptp.element @t257 @t263)) % 0.38/0.80 (define @t265 () (not @t264)) % 0.38/0.80 (define @t266 () (tptp.boole_POSet @t259)) % 0.38/0.80 (define @t267 () (tptp.powerset (tptp.the_carrier @t266))) % 0.38/0.80 (define @t268 () (tptp.element @t225 @t267)) % 0.38/0.80 (define @t269 () (not @t268)) % 0.38/0.80 (define @t270 () (tptp.proper_element @t225 @t267)) % 0.38/0.80 (define @t271 () (not @t270)) % 0.38/0.80 (define @t272 () (tptp.upper_relstr_subset @t225 @t266)) % 0.38/0.80 (define @t273 () (not @t272)) % 0.38/0.80 (define @t274 () (tptp.filtered_subset @t225 @t266)) % 0.38/0.80 (define @t275 () (not @t274)) % 0.38/0.80 (define @t276 () (tptp.empty @t225)) % 0.38/0.80 (define @t277 () (not @t256)) % 0.38/0.80 (define @t278 () (tptp.topological_space @t226)) % 0.38/0.80 (define @t279 () (not @t278)) % 0.38/0.80 (define @t280 () (tptp.empty_carrier @t226)) % 0.38/0.80 (define @t281 () (or @t280 @t279 @t277 @t276 @t275 @t273 @t271 @t269 @t265 @t262)) % 0.38/0.80 (define @t282 () (@list true)) % 0.38/0.80 (define @t283 () (@list @t281)) % 0.38/0.80 (define @t284 () (tptp.one_sorted_str @t226)) % 0.38/0.80 (define @t285 () (or @t277 @t284)) % 0.38/0.80 (define @t286 () (@list false false)) % 0.38/0.80 (define @t287 () (tptp.filter_of_net_str @t226 @t260)) % 0.38/0.80 (define @t288 () (= @t225 @t287)) % 0.38/0.80 (define @t289 () (not @t284)) % 0.38/0.80 (define @t290 () (or @t280 @t289 @t276 @t275 @t273 @t271 @t269 @t288)) % 0.38/0.80 (define @t291 () (@var "BOUND_VARIABLE_9470" $$unsorted)) % 0.38/0.80 (define @t292 () (@var "BOUND_VARIABLE_9468" $$unsorted)) % 0.38/0.80 (define @t293 () (= (tptp.in @t291 (tptp.lim_points_of_net @t1 @t292)) (tptp.is_a_convergence_point_of_set @t1 (tptp.filter_of_net_str @t1 @t292) @t291))) % 0.38/0.80 (define @t294 () (not (tptp.element @t291 @t3))) % 0.38/0.80 (define @t295 () (not (tptp.net_str @t292 @t1))) % 0.38/0.80 (define @t296 () (not (tptp.directed_relstr @t292))) % 0.38/0.80 (define @t297 () (not (tptp.transitive_relstr @t292))) % 0.38/0.80 (define @t298 () (tptp.empty_carrier @t292)) % 0.38/0.80 (define @t299 () (or @t298 @t297 @t296 @t295 @t294 @t293)) % 0.38/0.80 (define @t300 () (or @t19 @t221 @t220 @t299)) % 0.38/0.80 (define @t301 () (forall (@list @t1 @t292 @t291) @t300)) % 0.38/0.80 (define @t302 () (@list @t292 @t291)) % 0.38/0.80 (define @t303 () (forall @t302 @t300)) % 0.38/0.80 (define @t304 () (forall @t302 @t299)) % 0.38/0.80 (define @t305 () (@var "BOUND_VARIABLE_9451" $$unsorted)) % 0.38/0.80 (define @t306 () (or @t19 @t221 @t220 @t304)) % 0.38/0.80 (define @t307 () (= (tptp.in @t305 @t75) (tptp.is_a_convergence_point_of_set @t1 @t60 @t305))) % 0.38/0.80 (define @t308 () (not (tptp.element @t305 @t3))) % 0.38/0.80 (define @t309 () (not @t11)) % 0.38/0.80 (define @t310 () (not @t76)) % 0.38/0.80 (define @t311 () (not @t77)) % 0.38/0.80 (define @t312 () (or @t61 @t311 @t310 @t309 @t308 @t307)) % 0.38/0.80 (define @t313 () (@list @t7 @t305)) % 0.38/0.80 (define @t314 () (forall @t313 @t312)) % 0.38/0.80 (define @t315 () (or @t19 @t221 @t220 @t314)) % 0.38/0.80 (define @t316 () (or @t308 @t307)) % 0.38/0.80 (define @t317 () (or @t61 @t311 @t310 @t309 @t316)) % 0.38/0.80 (define @t318 () (forall @t313 @t317)) % 0.38/0.80 (define @t319 () (@list @t305)) % 0.38/0.80 (define @t320 () (forall @t319 @t317)) % 0.38/0.80 (define @t321 () (forall @t319 @t316)) % 0.38/0.80 (define @t322 () (or @t61 @t311 @t310 @t309 @t321)) % 0.38/0.80 (define @t323 () (forall @t105 (or @t253 @t153))) % 0.38/0.80 (define @t324 () (or @t61 @t311 @t310 @t309 @t323)) % 0.38/0.80 (define @t325 () (not @t62)) % 0.38/0.80 (define @t326 () (or @t325 @t311 @t310 @t309)) % 0.38/0.80 (define @t327 () (not @t90)) % 0.38/0.80 (define @t328 () (not @t91)) % 0.38/0.80 (define @t329 () (not @t92)) % 0.38/0.80 (define @t330 () (not @t40)) % 0.38/0.80 (define @t331 () (or @t19 @t189 @t38 @t330 @t93 @t329 @t328 @t327)) % 0.38/0.80 (define @t332 () (not @t94)) % 0.38/0.80 (define @t333 () (or @t205 @t189 @t208 @t330 @t332 @t329 @t328 @t327)) % 0.38/0.80 (define @t334 () (not @t96)) % 0.38/0.80 (define @t335 () (@list @t226 @t259 @t225)) % 0.38/0.80 (define @t336 () (tptp.element @t259 (tptp.powerset @t263))) % 0.38/0.80 (define @t337 () (or @t289 @t336)) % 0.38/0.80 (define @t338 () (tptp.empty @t259)) % 0.38/0.80 (define @t339 () (not @t338)) % 0.38/0.80 (define @t340 () (or @t280 @t289 @t339)) % 0.38/0.80 (define @t341 () (tptp.net_str @t260 @t226)) % 0.38/0.80 (define @t342 () (tptp.strict_net_str @t260 @t226)) % 0.38/0.80 (define @t343 () (tptp.empty_carrier @t260)) % 0.38/0.80 (define @t344 () (not @t343)) % 0.38/0.80 (define @t345 () (and @t344 @t342 @t341)) % 0.38/0.80 (define @t346 () (not @t336)) % 0.38/0.80 (define @t347 () (or @t280 @t289 @t338 @t346 @t276 @t275 @t273 @t269 @t345)) % 0.38/0.80 (define @t348 () (@list true true false false false false true false false)) % 0.38/0.80 (define @t349 () (@list false)) % 0.38/0.80 (define @t350 () (not @t139)) % 0.38/0.80 (define @t351 () (or @t205 @t189 @t208 @t330 @t332 @t329 @t328 @t350 @t327)) % 0.38/0.80 (define @t352 () (tptp.directed_relstr @t260)) % 0.38/0.80 (define @t353 () (tptp.transitive_relstr @t260)) % 0.38/0.80 (define @t354 () (tptp.reflexive_relstr @t260)) % 0.38/0.80 (define @t355 () (and @t344 @t354 @t353 @t342 @t352)) % 0.38/0.80 (define @t356 () (or @t280 @t289 @t338 @t346 @t276 @t275 @t273 @t271 @t269 @t355)) % 0.38/0.80 (define @t357 () (and @t344 @t354 @t353 @t342)) % 0.38/0.80 (define @t358 () (or @t280 @t289 @t338 @t346 @t276 @t275 @t273 @t269 @t357)) % 0.38/0.80 (define @t359 () (not @t357)) % 0.38/0.80 (define @t360 () (@list @t357)) % 0.38/0.80 (define @t361 () (tptp.is_a_convergence_point_of_set @t226 @t287 @t257)) % 0.38/0.80 (define @t362 () (= @t261 @t361)) % 0.38/0.80 (define @t363 () (not @t341)) % 0.38/0.80 (define @t364 () (not @t352)) % 0.38/0.80 (define @t365 () (not @t353)) % 0.38/0.80 (define @t366 () (or @t280 @t279 @t277 @t343 @t365 @t364 @t363 @t265 @t362)) % 0.38/0.80 (define @t367 () (not @t362)) % 0.38/0.80 (define @t368 () (not @t361)) % 0.38/0.80 (define @t369 () (and @t258 @t288)) % 0.38/0.80 (define @t370 () (not @t288)) % 0.38/0.80 (define @t371 () (not @t258)) % 0.38/0.80 (define @t372 () (and @t371 @t288)) % 0.38/0.80 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 0.38/0.80 (assume @p2 (forall @t14 (=> @t13 (=> @t10 (= @t7 (tptp.net_str_of @t1 @t9 (tptp.the_InternalRel @t7) @t8)))))) % 0.38/0.80 (assume @p3 (forall @t14 (=> @t15 (not (tptp.in @t7 @t1))))) % 0.38/0.80 (assume @p4 (forall @t6 (=> @t5 (=> (and @t20 @t18 @t21) (and @t20 @t18 @t17 @t16))))) % 0.38/0.80 (assume @p5 (forall @t6 (=> @t5 (=> (and @t20 @t18 @t16) (and @t20 @t18 @t22))))) % 0.38/0.80 (assume @p6 (forall @t6 (=> @t5 (=> (and @t20 @t18 @t28 @t27 @t26 @t22 @t17) (and @t20 @t18 @t28 @t27 @t26 @t25 @t21 @t22 @t24 @t23))))) % 0.38/0.80 (assume @p7 (forall @t6 (=> @t5 (=> (and @t20 @t18 @t27 @t16) (and @t20 @t18 @t27 @t25))))) % 0.38/0.80 (assume @p8 (forall @t6 (=> @t5 (=> (and @t20 @t18 @t27 @t24 @t16) (and @t20 @t18 @t27 @t26 @t24))))) % 0.38/0.80 (assume @p9 (forall @t6 (=> @t30 @t29))) % 0.38/0.80 (assume @p10 (forall @t6 (=> @t5 (=> @t26 @t20)))) % 0.38/0.80 (assume @p11 (forall @t6 (=> @t30 @t31))) % 0.38/0.80 (assume @p12 (forall @t35 (=> @t34 (tptp.relation @t32)))) % 0.38/0.80 (assume @p13 (forall @t6 (=> @t44 (forall @t41 (=> @t40 (=> @t38 (and @t37 @t36))))))) % 0.38/0.80 (assume @p14 (forall @t6 (=> @t5 (=> @t45 (and @t20 @t26 @t25))))) % 0.38/0.80 (assume @p15 (forall @t6 (=> @t29 (forall @t41 (=> @t48 @t46))))) % 0.38/0.80 (assume @p16 (forall @t6 (=> @t5 (=> @t25 @t20)))) % 0.38/0.80 (assume @p17 (forall @t6 (=> @t42 (forall @t41 (=> @t40 (=> @t38 @t49)))))) % 0.38/0.80 (assume @p18 (forall @t6 (=> @t5 (=> @t51 (and @t20 @t18 @t28 @t27 @t21))))) % 0.38/0.80 (assume @p19 (forall @t6 (=> @t44 (forall @t41 (=> @t40 (=> @t38 @t52)))))) % 0.38/0.80 (assume @p20 (forall @t6 (=> @t5 (=> @t45 (and @t20 @t23))))) % 0.38/0.80 (assume @p21 (forall @t6 (=> @t44 (forall @t41 (=> @t40 (=> @t52 @t49)))))) % 0.38/0.80 (assume @p22 (forall @t6 (=> @t5 (=> @t23 @t53)))) % 0.38/0.80 (assume @p23 (forall @t6 (=> @t44 (forall @t41 (=> @t40 (=> (and @t36 @t49) (and @t49 @t52))))))) % 0.38/0.80 (assume @p24 (forall @t6 (=> @t5 (=> @t51 (and @t20 @t18 @t54))))) % 0.38/0.80 (assume @p25 (forall @t6 (=> @t5 (=> @t53 @t23)))) % 0.38/0.80 (assume @p26 (forall @t6 (=> @t44 (forall @t41 (=> @t40 (=> (and @t37 @t52) (and @t38 @t37 @t36 @t59 @t58 @t57 @t56 @t55 @t49 @t52))))))) % 0.38/0.80 (assume @p27 (forall @t6 (=> @t5 (=> (and @t18 @t26 @t17) (and @t20 @t18 @t26 @t24))))) % 0.38/0.80 (assume @p28 (forall @t6 (=> @t63 (forall @t41 (=> (and @t62 @t11) (= @t60 (tptp.a_2_1_yellow19 @t1 @t7))))))) % 0.38/0.80 (assume @p29 (forall @t14 (=> @t65 (and (tptp.strict_rel_str @t64) (tptp.rel_str @t64))))) % 0.38/0.80 (assume @p30 (forall @t74 (=> @t73 (and @t68 (tptp.net_str @t67 @t1))))) % 0.38/0.80 (assume @p31 (forall @t14 (=> (and @t20 @t43 @t42 @t62 @t77 @t76 @t11) (tptp.element @t75 @t39)))) % 0.38/0.80 (assume @p32 true) % 0.38/0.80 (assume @p33 @t80) % 0.38/0.80 (assume @p34 (forall @t14 (=> @t83 (tptp.element @t60 @t82)))) % 0.38/0.80 (assume @p35 @t97) % 0.38/0.80 (assume @p36 (forall @t6 (and @t99 (tptp.rel_str @t98)))) % 0.38/0.80 (assume @p37 (forall @t6 (=> @t5 @t12))) % 0.38/0.80 (assume @p38 @t100) % 0.38/0.80 (assume @p39 (forall @t6 (=> @t12 (forall @t41 (=> @t11 (tptp.rel_str @t7)))))) % 0.38/0.80 (assume @p40 (forall @t35 (=> @t101 @t34))) % 0.38/0.80 (assume @p41 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 0.38/0.80 (assume @p42 (forall @t14 (=> @t13 (and @t103 @t102 (tptp.relation_of2_as_subset @t8 @t9 @t3))))) % 0.38/0.80 (assume @p43 (exists @t6 @t5)) % 0.38/0.80 (assume @p44 (exists @t6 @t42)) % 0.38/0.80 (assume @p45 (exists @t6 @t12)) % 0.38/0.80 (assume @p46 (forall @t6 (=> @t12 (exists @t41 @t11)))) % 0.38/0.80 (assume @p47 (forall @t14 (exists @t105 @t104))) % 0.38/0.80 (assume @p48 (forall @t6 (exists @t41 (tptp.element @t7 @t1)))) % 0.38/0.80 (assume @p49 (forall @t14 (exists @t105 @t101))) % 0.38/0.80 (assume @p50 (and @t107 @t106 (tptp.relation_empty_yielding tptp.empty_set))) % 0.38/0.80 (assume @p51 (forall @t14 (=> (and @t29 @t46) (tptp.finite @t33)))) % 0.38/0.80 (assume @p52 (forall @t6 (=> @t109 (and @t108 (tptp.lower_relstr_subset @t78 @t1) (tptp.upper_relstr_subset @t78 @t1))))) % 0.38/0.80 (assume @p53 (forall @t14 (=> @t83 (and (not (tptp.empty @t8)) (tptp.relation @t8) @t103 @t102)))) % 0.38/0.80 (assume @p54 (forall @t6 (=> @t63 (not (tptp.empty @t3))))) % 0.38/0.80 (assume @p55 (forall @t6 (not (tptp.empty @t47)))) % 0.38/0.80 (assume @p56 (forall @t6 (and @t126 @t99 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110))) % 0.38/0.80 (assume @p57 @t127) % 0.38/0.80 (assume @p58 (forall @t6 (=> (and @t26 @t5) @t128))) % 0.38/0.80 (assume @p59 (forall @t6 (=> @t129 (and @t126 (not (tptp.trivial_carrier @t98)) @t99 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110)))) % 0.38/0.80 (assume @p60 (forall @t14 (=> @t83 (and @t131 @t130)))) % 0.38/0.80 (assume @p61 (forall @t6 (=> @t109 @t108))) % 0.38/0.80 (assume @p62 (forall @t6 (=> (and @t20 @t24 @t5) @t128))) % 0.38/0.80 (assume @p63 (forall @t14 (=> (and @t20 @t12 @t62 @t77 @t76 @t11) (and @t131 (tptp.filtered_subset @t60 @t81) @t130 (tptp.proper_element @t60 @t82))))) % 0.38/0.80 (assume @p64 (and @t107 @t106)) % 0.38/0.80 (assume @p65 (forall @t14 (=> (and @t129 @t95) (not (tptp.empty @t33))))) % 0.38/0.80 (assume @p66 (forall @t6 (=> (and @t25 @t5) @t132))) % 0.38/0.80 (assume @p67 @t136) % 0.38/0.80 (assume @p68 (forall @t6 (=> @t44 @t137))) % 0.38/0.80 (assume @p69 (forall @t6 (=> (and @t20 @t22 @t5) @t132))) % 0.38/0.80 (assume @p70 @t141) % 0.38/0.80 (assume @p71 (forall @t74 (=> (and @t12 @t95 @t72 @t71 @t70 @t69) (and (not (tptp.empty_carrier @t67)) @t68)))) % 0.38/0.80 (assume @p72 (forall @t6 (and @t126 @t99 @t125 @t124 @t123))) % 0.38/0.80 (assume @p73 (forall @t6 (=> @t44 (and (tptp.open_subset @t78 @t1) @t137)))) % 0.38/0.80 (assume @p74 (forall @t6 (and @t126 @t99 @t125 @t124 @t123 @t122 @t121 @t120 @t112 @t111 @t110))) % 0.38/0.80 (assume @p75 (forall @t6 (and @t126 @t99 @t125 @t124 @t123 @t122 @t121 @t120 (tptp.directed_relstr @t98) @t119 @t118 @t117 @t112 @t111 @t110))) % 0.38/0.80 (assume @p76 (forall @t6 (=> @t42 (tptp.dense @t78 @t1)))) % 0.38/0.80 (assume @p77 (forall @t35 (=> (and @t62 (tptp.one_sorted_str @t7) (not (tptp.empty_carrier @t32)) (tptp.net_str @t32 @t7)) (= (tptp.in @t1 (tptp.a_2_1_yellow19 @t7 @t32)) (exists (@list @t66) (and (tptp.element @t66 (tptp.powerset @t9)) (= @t1 @t66) (tptp.is_eventually_in @t7 @t32 @t66))))))) % 0.38/0.80 (assume @p78 (forall @t14 (=> @t65 (forall (@list @t32 @t66) (=> (= @t64 (tptp.rel_str_of @t32 @t66)) (and (= @t1 @t32) (= @t7 @t66))))))) % 0.38/0.80 (assume @p79 (forall @t74 (=> @t73 (forall (@list @t145 @t144 @t143 @t142) (=> (= @t67 (tptp.net_str_of @t145 @t144 @t143 @t142)) (and (= @t1 @t145) (= @t7 @t144) (= @t32 @t143) (= @t66 @t142))))))) % 0.38/0.80 (assume @p80 (forall @t6 (=> @t148 (exists @t41 (and @t40 @t95 @t147 @t146))))) % 0.38/0.80 (assume @p81 (forall @t6 (=> (and @t18 @t28 @t27 @t26 @t25 @t5) (exists @t41 (and @t40 @t95 @t150 @t147 @t149 @t146))))) % 0.38/0.80 (assume @p82 (exists @t6 (and @t5 @t20 @t18 @t28 @t27 @t54))) % 0.38/0.80 (assume @p83 (exists @t6 (and @t5 @t20 @t4 @t18 @t28 @t27 @t26 @t25 @t21 @t22 @t24 @t23 @t17 @t16))) % 0.38/0.80 (assume @p84 (exists @t6 (and @t129 @t29))) % 0.38/0.80 (assume @p85 (exists @t6 (and @t5 @t20 @t4 @t18 @t28 @t27 @t21))) % 0.38/0.80 (assume @p86 (exists @t6 (and @t30 @t31))) % 0.38/0.80 (assume @p87 (forall @t6 (=> @t129 (exists @t41 (and @t48 @t95))))) % 0.38/0.80 (assume @p88 (forall @t6 (=> @t44 (exists @t41 (and @t40 @t37))))) % 0.38/0.80 (assume @p89 (forall @t6 (=> @t5 (exists @t41 (and @t40 @t150 @t147))))) % 0.38/0.80 (assume @p90 (exists @t6 (and @t5 @t20 @t151 @t4 @t18 @t28 @t27 @t22 @t24 @t23 (not (tptp.v1_yellow_3 @t1)) (tptp.distributive_relstr @t1) (tptp.heyting_relstr @t1) (tptp.complemented_relstr @t1) (tptp.boolean_relstr @t1) @t26 @t25))) % 0.38/0.80 (assume @p91 (exists @t6 (and @t5 @t20 @t4 @t18 @t28 @t27 @t26 @t25 @t21 @t50))) % 0.38/0.80 (assume @p92 (exists @t6 (and @t5 @t20 @t4 @t18 @t28 @t27 @t26 @t25 @t21))) % 0.38/0.80 (assume @p93 (exists @t6 (and @t129 @t31))) % 0.38/0.80 (assume @p94 (forall @t6 (exists @t41 (and @t48 @t38)))) % 0.38/0.80 (assume @p95 (forall @t6 (=> @t44 (exists @t41 (and @t40 @t37 @t36))))) % 0.38/0.80 (assume @p96 (forall @t6 (=> (and @t20 @t18 @t5) (exists @t41 (and @t40 @t95 @t46 @t150 @t147))))) % 0.38/0.80 (assume @p97 (forall @t6 (exists @t41 (and (tptp.element @t7 (tptp.powerset @t47)) @t95 @t46)))) % 0.38/0.80 (assume @p98 (exists @t6 (and @t5 @t20 @t18 @t28 @t27 @t26 @t25 @t21 @t22 @t24 @t23))) % 0.38/0.80 (assume @p99 (forall @t6 (=> @t129 (exists @t41 (and @t48 @t95 @t46))))) % 0.38/0.80 (assume @p100 (exists @t6 (and @t31 (tptp.relation_empty_yielding @t1)))) % 0.38/0.80 (assume @p101 (exists @t6 (and @t12 @t20))) % 0.38/0.80 (assume @p102 (forall @t6 (=> @t152 (exists @t41 (and @t40 @t95 @t37 @t36))))) % 0.38/0.80 (assume @p103 (forall @t6 (=> @t12 (exists @t41 (and (tptp.element @t7 (tptp.powerset @t39)) @t95 @t46))))) % 0.38/0.80 (assume @p104 (forall @t6 (=> @t42 (exists @t41 (and @t40 @t38 @t59 @t58 @t57 @t56 @t55 @t49))))) % 0.38/0.80 (assume @p105 (forall @t6 (=> @t12 (exists @t41 (and @t11 @t10))))) % 0.38/0.80 (assume @p106 (forall @t6 (=> (and @t20 @t151 @t18 @t28 @t27 @t24 @t5) (exists @t41 (and @t40 @t95 (tptp.proper_element @t7 @t39) @t147 @t146))))) % 0.38/0.80 (assume @p107 (exists @t6 (and @t5 @t20 @t4 @t28 (tptp.directed_relstr @t1)))) % 0.38/0.80 (assume @p108 (forall @t6 (=> @t63 (exists @t41 (and @t40 @t95))))) % 0.38/0.80 (assume @p109 (forall @t6 (=> @t44 (exists @t41 (and @t40 @t38 @t37 @t36 @t59 @t58 @t57 @t56 @t55 @t49 @t52))))) % 0.38/0.80 (assume @p110 (forall @t6 (=> @t12 (exists @t41 (and @t11 @t62 (tptp.reflexive_relstr @t7) @t77 (tptp.antisymmetric_relstr @t7) @t10 @t76))))) % 0.38/0.80 (assume @p111 (forall @t6 (=> @t44 (exists @t41 (and @t40 @t36))))) % 0.38/0.80 (assume @p112 (forall @t6 (=> @t152 (exists @t41 (and @t40 @t95 @t36))))) % 0.38/0.80 (assume @p113 (forall @t6 (=> @t5 (exists @t41 (and @t40 @t149 @t146))))) % 0.38/0.80 (assume @p114 (forall @t6 (=> @t109 (exists @t41 (and @t40 @t95 @t149 @t146))))) % 0.38/0.80 (assume @p115 (forall @t6 (=> @t148 (exists @t41 (and @t40 @t95 @t150 @t149))))) % 0.38/0.80 (assume @p116 (forall @t35 (= @t101 @t104))) % 0.38/0.80 (assume @p117 (forall @t14 (tptp.subset @t1 @t1))) % 0.38/0.80 (assume @p118 @t160) % 0.38/0.80 (assume @p119 @t170) % 0.38/0.80 (assume @p120 @t178) % 0.38/0.80 (assume @p121 (forall @t14 (=> @t15 @t179))) % 0.38/0.80 (assume @p122 (forall @t14 (=> @t179 (or @t38 @t15)))) % 0.38/0.80 (assume @p123 (forall @t14 (=> (forall @t105 (= (tptp.in @t32 @t1) (tptp.in @t32 @t7))) @t180))) % 0.38/0.80 (assume @p124 (forall @t14 (= (tptp.element @t1 (tptp.powerset @t7)) (tptp.subset @t1 @t7)))) % 0.38/0.80 (assume @p125 (forall @t35 (=> (and @t15 @t181) (tptp.element @t1 @t32)))) % 0.38/0.80 (assume @p126 (forall @t35 (not (and @t15 @t181 @t93)))) % 0.38/0.80 (assume @p127 (forall @t6 (=> @t30 (= @t1 tptp.empty_set)))) % 0.38/0.80 (assume @p128 (forall @t14 (not (and @t15 @t38)))) % 0.38/0.80 (assume @p129 (forall @t14 (not (and @t30 (not @t180) @t38)))) % 0.38/0.80 (step @p130 :rule aci_norm :args ((= @t191 (or @t19 @t189 @t188 @t187 @t186 @t185 @t184 @t183)))) % 0.38/0.80 (step @p131 :rule cong :premises (@p130) :args (@t192)) % 0.38/0.80 (step @p132 :rule quant-merge-prenex :args ((= (forall @t6 @t194) @t192))) % 0.38/0.80 (step @p133 :rule alpha_equiv :args (@t195 (@list @t182) (@list @t7))) % 0.38/0.80 (step @p134 :rule refl :args (@t189)) % 0.38/0.80 (step @p135 :rule refl :args (@t19)) % 0.38/0.80 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133) :args (@t196)) % 0.38/0.80 (step @p137 :rule quant-miniscope-or :args ((= @t194 @t196))) % 0.38/0.80 (step @p138 :rule trans :premises (@p137 @p136)) % 0.38/0.80 (step @p139 :rule symm :premises (@p138)) % 0.38/0.80 (step @p140 :rule cong :premises (@p139) :args ((forall @t6 @t203))) % 0.38/0.80 (step @p141 :rule trans :premises (@p140 @p132)) % 0.38/0.80 (step @p142 :rule trans :premises (@p141 @p131)) % 0.38/0.80 (step @p143 :rule aci_norm :args ((= (or @t204 @t202) @t203))) % 0.38/0.80 (step @p144 :rule refl :args (@t202)) % 0.38/0.80 (step @p145 :rule bool-double-not-elim :args (@t19)) % 0.38/0.80 (step @p146 :rule nary_cong :premises (@p145 @p134) :args ((or @t205 @t189))) % 0.38/0.80 (step @p147 :rule bool-and-de-morgan :args (@t20 @t12 true)) % 0.38/0.80 (step @p148 :rule trans :premises (@p147 @p146)) % 0.38/0.80 (step @p149 :rule nary_cong :premises (@p148 @p144) :args ((or @t206 @t202))) % 0.38/0.80 (step @p150 :rule trans :premises (@p149 @p143)) % 0.38/0.80 (step @p151 :rule bool-impl-elim :args (@t63 @t202)) % 0.38/0.80 (step @p152 :rule trans :premises (@p151 @p150)) % 0.38/0.80 (step @p153 :rule cong :premises (@p152) :args ((forall @t6 (=> @t63 @t202)))) % 0.38/0.80 (step @p154 :rule trans :premises (@p153 @p142)) % 0.38/0.80 (step @p155 :rule aci_norm :args ((= (or @t207 @t162) @t201))) % 0.38/0.80 (step @p156 :rule refl :args (@t162)) % 0.38/0.80 (step @p157 :rule refl :args (@t197)) % 0.38/0.80 (step @p158 :rule refl :args (@t198)) % 0.38/0.80 (step @p159 :rule refl :args (@t199)) % 0.38/0.80 (step @p160 :rule refl :args (@t200)) % 0.38/0.80 (step @p161 :rule bool-double-not-elim :args (@t38)) % 0.38/0.80 (step @p162 :rule nary_cong :premises (@p161 @p160 @p159 @p158 @p157) :args (@t209)) % 0.38/0.80 (step @p163 :rule aci_norm :args ((= (or @t208 (or @t200 (or @t199 (or @t198 @t197)))) @t209))) % 0.38/0.80 (step @p164 :rule trans :premises (@p163 @p162)) % 0.38/0.80 (step @p165 :rule bool-and-de-morgan :args (@t164 @t163 true)) % 0.38/0.80 (step @p166 :rule nary_cong :premises (@p159 @p165) :args ((or @t199 (not (and @t164 @t163))))) % 0.38/0.80 (step @p167 :rule bool-and-de-morgan :args (@t165 @t164 (and @t163))) % 0.38/0.80 (step @p168 :rule trans :premises (@p167 @p166)) % 0.38/0.80 (step @p169 :rule nary_cong :premises (@p160 @p168) :args ((or @t200 (not (and @t165 @t164 @t163))))) % 0.38/0.80 (step @p170 :rule bool-and-de-morgan :args (@t166 @t165 (and @t164 @t163))) % 0.38/0.80 (step @p171 :rule trans :premises (@p170 @p169)) % 0.38/0.80 (step @p172 :rule refl :args (@t208)) % 0.38/0.80 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or @t208 (not (and @t166 @t165 @t164 @t163))))) % 0.38/0.80 (step @p174 :rule bool-and-de-morgan :args (@t95 @t166 (and @t165 @t164 @t163))) % 0.38/0.80 (step @p175 :rule trans :premises (@p174 @p173)) % 0.38/0.80 (step @p176 :rule trans :premises (@p175 @p164)) % 0.38/0.80 (step @p177 :rule nary_cong :premises (@p176 @p156) :args ((or @t210 @t162))) % 0.38/0.80 (step @p178 :rule trans :premises (@p177 @p155)) % 0.38/0.80 (step @p179 :rule bool-impl-elim :args (@t167 @t162)) % 0.38/0.80 (step @p180 :rule trans :premises (@p179 @p178)) % 0.38/0.80 (step @p181 :rule cong :premises (@p180) :args (@t168)) % 0.38/0.80 (step @p182 :rule refl :args (@t63)) % 0.38/0.80 (step @p183 :rule cong :premises (@p182 @p181) :args (@t169)) % 0.38/0.80 (step @p184 :rule cong :premises (@p183) :args (@t170)) % 0.38/0.80 (step @p185 :rule trans :premises (@p184 @p154)) % 0.38/0.80 (step @p186 :rule eq_resolve :premises (@p119 @p185)) % 0.38/0.80 (step @p187 :rule instantiate :premises 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@p422 @p410 @p403) :args (@t345 @t348 (@list @t280 @t276 @t274 @t272 @t268 @t284 @t338 @t336 @t347))) % 0.38/0.80 (step @p426 :rule cnf_and_pos :args (@t345 2)) % 0.38/0.80 (step @p427 :rule reordering :premises (@p426) :args ((or @t341 (not @t345)))) % 0.38/0.80 (step @p428 :rule chain_m_resolution :premises (@p427 @p425) :args (@t341 @t349 (@list @t345))) % 0.38/0.80 (step @p429 :rule aci_norm :args ((= (or (or @t19 @t189 @t38 @t330 @t93 @t329 @t328 @t350 @t327) @t138) (or @t19 @t189 @t38 @t330 @t93 @t329 @t328 @t350 @t327 @t138)))) % 0.38/0.80 (step @p430 :rule refl :args (@t138)) % 0.38/0.80 (step @p431 :rule refl :args (@t350)) % 0.38/0.80 (step @p432 :rule nary_cong :premises (@p145 @p134 @p161 @p372 @p371 @p370 @p369 @p431 @p368) :args (@t351)) % 0.38/0.80 (step @p433 :rule aci_norm :args ((= (or @t205 (or @t189 (or @t208 (or @t330 (or @t332 (or @t329 (or @t328 (or @t350 @t327)))))))) @t351))) % 0.38/0.80 (step @p434 :rule trans :premises (@p433 @p432)) % 0.38/0.80 (step @p435 :rule bool-and-de-morgan :args (@t139 @t90 true)) % 0.38/0.80 (step @p436 :rule nary_cong :premises (@p369 @p435) :args ((or @t328 (not (and @t139 @t90))))) % 0.38/0.80 (step @p437 :rule bool-and-de-morgan :args (@t91 @t139 (and @t90))) % 0.38/0.80 (step @p438 :rule trans :premises (@p437 @p436)) % 0.38/0.80 (step @p439 :rule nary_cong :premises (@p370 @p438) :args ((or @t329 (not (and @t91 @t139 @t90))))) % 0.38/0.80 (step @p440 :rule bool-and-de-morgan :args (@t92 @t91 (and @t139 @t90))) % 0.38/0.80 (step @p441 :rule trans :premises (@p440 @p439)) % 0.38/0.80 (step @p442 :rule nary_cong :premises (@p380 @p441) :args ((or @t332 (not (and @t92 @t91 @t139 @t90))))) % 0.38/0.80 (step @p443 :rule bool-and-de-morgan :args (@t94 @t92 (and @t91 @t139 @t90))) % 0.38/0.80 (step @p444 :rule trans :premises (@p443 @p442)) % 0.38/0.80 (step @p445 :rule nary_cong :premises (@p372 @p444) :args ((or @t330 (not (and @t94 @t92 @t91 @t139 @t90))))) % 0.38/0.80 (step @p446 :rule bool-and-de-morgan :args (@t40 @t94 (and @t92 @t91 @t139 @t90))) % 0.38/0.80 (step @p447 :rule trans :premises (@p446 @p445)) % 0.38/0.80 (step @p448 :rule nary_cong :premises (@p172 @p447) :args ((or @t208 (not (and @t40 @t94 @t92 @t91 @t139 @t90))))) % 0.38/0.80 (step @p449 :rule bool-and-de-morgan :args (@t95 @t40 (and @t94 @t92 @t91 @t139 @t90))) % 0.38/0.80 (step @p450 :rule trans :premises (@p449 @p448)) % 0.38/0.80 (step @p451 :rule nary_cong :premises (@p134 @p450) :args ((or @t189 (not (and @t95 @t40 @t94 @t92 @t91 @t139 @t90))))) % 0.38/0.80 (step @p452 :rule bool-and-de-morgan :args (@t12 @t95 (and @t40 @t94 @t92 @t91 @t139 @t90))) % 0.38/0.80 (step @p453 :rule trans :premises (@p452 @p451)) % 0.38/0.80 (step @p454 :rule nary_cong :premises (@p211 @p453) :args ((or @t205 (not (and @t12 @t95 @t40 @t94 @t92 @t91 @t139 @t90))))) % 0.38/0.80 (step @p455 :rule bool-and-de-morgan :args (@t20 @t12 (and @t95 @t40 @t94 @t92 @t91 @t139 @t90))) % 0.38/0.80 (step @p456 :rule trans :premises (@p455 @p454)) % 0.38/0.80 (step @p457 :rule trans :premises (@p456 @p434)) % 0.38/0.80 (step @p458 :rule nary_cong :premises (@p457 @p430) :args ((or (not @t140) @t138))) % 0.38/0.80 (step @p459 :rule trans :premises (@p458 @p429)) % 0.38/0.80 (step @p460 :rule bool-impl-elim :args (@t140 @t138)) % 0.38/0.80 (step @p461 :rule trans :premises (@p460 @p459)) % 0.38/0.80 (step @p462 :rule cong :premises (@p461) :args (@t141)) % 0.38/0.80 (step @p463 :rule eq_resolve :premises (@p70 @p462)) % 0.38/0.80 (step @p464 :rule instantiate :premises (@p463) :args (@t335)) % 0.38/0.80 (step @p465 :rule cnf_or_pos :args (@t356)) % 0.38/0.80 (step @p466 :rule reordering :premises (@p465) :args ((or @t280 @t276 @t275 @t273 @t271 @t269 @t289 @t338 @t346 @t355 (not @t356)))) % 0.38/0.80 (step @p467 :rule chain_m_resolution :premises (@p466 @p292 @p290 @p288 @p282 @p276 @p270 @p264 @p422 @p410 @p464) :args (@t355 (@list true true false false false false false true false false) (@list @t280 @t276 @t274 @t272 @t270 @t268 @t284 @t338 @t336 @t356))) % 0.38/0.80 (step @p468 :rule cnf_and_pos :args (@t355 4)) % 0.38/0.80 (step @p469 :rule reordering :premises (@p468) :args ((or @t352 (not @t355)))) % 0.38/0.80 (step @p470 :rule chain_m_resolution :premises (@p469 @p467) :args (@t352 @t349 (@list @t355))) % 0.38/0.80 (step @p471 :rule aci_norm :args ((= (or @t331 @t135) (or @t19 @t189 @t38 @t330 @t93 @t329 @t328 @t327 @t135)))) % 0.38/0.80 (step @p472 :rule refl :args (@t135)) % 0.38/0.80 (step @p473 :rule nary_cong :premises (@p396 @p472) :args ((or @t334 @t135))) % 0.38/0.80 (step @p474 :rule trans :premises (@p473 @p471)) % 0.38/0.80 (step @p475 :rule bool-impl-elim :args (@t96 @t135)) % 0.38/0.80 (step @p476 :rule trans :premises (@p475 @p474)) % 0.38/0.80 (step @p477 :rule cong :premises (@p476) :args (@t136)) % 0.38/0.80 (step @p478 :rule eq_resolve :premises (@p67 @p477)) % 0.38/0.80 (step @p479 :rule instantiate :premises (@p478) :args (@t335)) % 0.38/0.80 (step @p480 :rule cnf_or_pos :args (@t358)) % 0.38/0.80 (step @p481 :rule reordering :premises (@p480) :args ((or @t280 @t276 @t275 @t273 @t269 @t289 @t338 @t346 @t357 (not @t358)))) % 0.38/0.80 (step @p482 :rule chain_m_resolution :premises (@p481 @p292 @p290 @p288 @p282 @p270 @p264 @p422 @p410 @p479) :args (@t357 @t348 (@list @t280 @t276 @t274 @t272 @t268 @t284 @t338 @t336 @t358))) % 0.38/0.80 (step @p483 :rule cnf_and_pos :args (@t357 2)) % 0.38/0.80 (step @p484 :rule reordering :premises (@p483) :args ((or @t353 @t359))) % 0.38/0.80 (step @p485 :rule chain_m_resolution :premises (@p484 @p482) :args (@t353 @t349 @t360)) % 0.38/0.80 (step @p486 :rule cnf_and_pos :args (@t357 0)) % 0.38/0.80 (step @p487 :rule reordering :premises (@p486) :args ((or @t344 @t359))) % 0.38/0.80 (step @p488 :rule chain_m_resolution :premises (@p487 @p482) :args (@t344 @t349 @t360)) % 0.38/0.80 (step @p489 :rule bool-double-not-elim :args (@t264)) % 0.38/0.80 (step @p490 :rule nary_cong :premises (@p256 @p489) :args ((or @t281 (not @t265)))) % 0.38/0.80 (step @p491 :rule cnf_or_neg :args (@t281 8)) % 0.38/0.80 (step @p492 :rule eq_resolve :premises (@p491 @p490)) % 0.38/0.80 (step @p493 :rule reordering :premises (@p492) :args ((or @t264 @t281))) % 0.38/0.80 (step @p494 :rule chain_m_resolution :premises (@p493 @p254) :args (@t264 @t282 @t283)) % 0.38/0.80 (step @p495 :rule bool-double-not-elim :args (@t278)) % 0.38/0.80 (step @p496 :rule nary_cong :premises (@p256 @p495) :args ((or @t281 (not @t279)))) % 0.38/0.80 (step @p497 :rule cnf_or_neg :args (@t281 1)) % 0.38/0.80 (step @p498 :rule eq_resolve :premises (@p497 @p496)) % 0.38/0.80 (step @p499 :rule reordering :premises (@p498) :args ((or @t278 @t281))) % 0.38/0.80 (step @p500 :rule chain_m_resolution :premises (@p499 @p254) :args (@t278 @t282 @t283)) % 0.38/0.80 (step @p501 :rule cnf_or_pos :args (@t366)) % 0.38/0.80 (step @p502 :rule reordering :premises (@p501) :args ((or @t280 @t279 @t277 @t265 @t343 @t365 @t364 @t363 @t362 (not @t366)))) % 0.38/0.80 (step @p503 :rule chain_m_resolution :premises (@p502 @p292 @p500 @p261 @p494 @p488 @p485 @p470 @p428 @p365) :args (@t362 (@list true false false false true false false false false) (@list @t280 @t278 @t256 @t264 @t343 @t353 @t352 @t341 @t366))) % 0.38/0.80 (step @p504 :rule cnf_equiv_pos2 :args (@t362)) % 0.38/0.80 (step @p505 :rule reordering :premises (@p504) :args ((or @t261 @t368 @t367))) % 0.38/0.80 (assume-push @p560 @t258) % 0.38/0.80 (assume-push @p561 @t288) % 0.38/0.80 (assume-push @p562 @t258) % 0.38/0.80 (assume-push @p563 @t288) % 0.38/0.80 (step @p510 :rule true_intro :premises (@p560)) % 0.38/0.80 (step @p511 :rule refl :args (@t257)) % 0.38/0.80 (step @p512 :rule symm :premises (@p295)) % 0.38/0.80 (step @p513 :rule refl :args (@t226)) % 0.38/0.80 (step @p514 :rule cong :premises (@p513 @p512 @p511) :args (@t361)) % 0.38/0.80 (step @p515 :rule trans :premises (@p514 @p510)) % 0.38/0.80 (step @p516 :rule true_elim :premises (@p515)) % 0.38/0.80 (step-pop @p564 :rule scope :premises (@p516)) % 0.38/0.80 (step-pop @p565 :rule scope :premises (@p564)) % 0.38/0.80 (step @p517 :rule process_scope :premises (@p565) :args (@t361)) % 0.38/0.80 (step @p520 :rule and_intro :premises (@p560 @p295)) % 0.38/0.80 (step @p521 :rule modus_ponens :premises (@p520 @p517)) % 0.38/0.80 (step-pop @p566 :rule scope :premises (@p521)) % 0.38/0.80 (step-pop @p567 :rule scope :premises (@p566)) % 0.38/0.80 (step @p522 :rule process_scope :premises (@p567) :args (@t361)) % 0.38/0.80 (step @p525 :rule implies_elim :premises (@p522)) % 0.38/0.80 (step @p526 :rule cnf_and_neg :args (@t369)) % 0.38/0.80 (step @p527 :rule resolution :premises (@p526 @p525) :args (true @t369)) % 0.38/0.80 (step @p528 :rule reordering :premises (@p527) :args ((or @t371 @t361 @t370))) % 0.38/0.80 (step @p529 :rule chain_m_resolution :premises (@p528 @p295 @p505 @p503 @p299 @p297) :args (@t261 (@list false true false false true) (@list @t288 @t361 @t362 @t258 @t262))) % 0.38/0.80 (step @p530 :rule cnf_equiv_neg2 :args (@t262)) % 0.38/0.80 (step @p531 :rule chain_m_resolution :premises (@p530 @p297 @p529) :args (@t371 (@list true false) (@list @t262 @t261))) % 0.38/0.80 (step @p532 :rule cnf_equiv_pos1 :args (@t362)) % 0.38/0.80 (step @p533 :rule reordering :premises (@p532) :args ((or (not @t261) @t361 @t367))) % 0.38/0.80 (step @p534 :rule chain_m_resolution :premises (@p533 @p529 @p503) :args (@t361 @t286 (@list @t261 @t362))) % 0.38/0.80 (step @p535 :rule refl :args (@t368)) % 0.38/0.80 (step @p536 :rule refl :args (@t370)) % 0.38/0.80 (step @p537 :rule bool-double-not-elim :args (@t258)) % 0.38/0.80 (step @p538 :rule nary_cong :premises (@p537 @p536 @p535) :args ((or (not @t371) @t370 @t368))) % 0.38/0.80 (assume-push @p568 @t371) % 0.38/0.80 (assume-push @p569 @t288) % 0.38/0.80 (assume-push @p570 @t371) % 0.38/0.80 (assume-push @p571 @t288) % 0.38/0.80 (step @p543 :rule false_intro :premises (@p568)) % 0.38/0.80 (step @p511 :rule refl :args (@t257)) % 0.38/0.80 (step @p512 :rule symm :premises (@p295)) % 0.38/0.80 (step @p513 :rule refl :args (@t226)) % 0.38/0.80 (step @p514 :rule cong :premises (@p513 @p512 @p511) :args (@t361)) % 0.38/0.80 (step @p544 :rule trans :premises (@p514 @p543)) % 0.38/0.80 (step @p545 :rule false_elim :premises (@p544)) % 0.38/0.80 (step-pop @p572 :rule scope :premises (@p545)) % 0.38/0.80 (step-pop @p573 :rule scope :premises (@p572)) % 0.38/0.80 (step @p546 :rule process_scope :premises (@p573) :args (@t368)) % 0.38/0.80 (step @p549 :rule and_intro :premises (@p568 @p295)) % 0.38/0.80 (step @p550 :rule modus_ponens :premises (@p549 @p546)) % 0.38/0.80 (step-pop @p574 :rule scope :premises (@p550)) % 0.38/0.80 (step-pop @p575 :rule scope :premises (@p574)) % 0.38/0.80 (step @p551 :rule process_scope :premises (@p575) :args (@t368)) % 0.38/0.80 (step @p554 :rule implies_elim :premises (@p551)) % 0.38/0.80 (step @p555 :rule cnf_and_neg :args (@t372)) % 0.38/0.80 (step @p556 :rule resolution :premises (@p555 @p554) :args (true @t372)) % 0.38/0.80 (step @p557 :rule eq_resolve :premises (@p556 @p538)) % 0.38/0.80 (step @p558 :rule reordering :premises (@p557) :args ((or @t258 @t368 @t370))) % 0.38/0.80 (step @p559 false :rule chain_m_resolution :premises (@p558 @p534 @p531 @p295) :args (false (@list false true false) (@list @t361 @t258 @t288))) % 0.38/0.80 ) % 0.38/0.80 % SZS output end Proof % 0.38/0.80 % cvc5 exiting %------------------------------------------------------------------------------