%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU386+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:51:35 AM UTC 2026 % Result : Theorem 0.73s 0.92s % Output : Proof 0.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU386+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n021.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 17:07:20 EDT 2026 % 0.19/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.73/0.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.73/0.92 % SZS status Theorem % 0.73/0.92 % SZS output start Proof % 0.73/0.92 ( % 0.73/0.92 (declare-sort $$unsorted 0) % 0.73/0.92 (declare-const tptp.empty_set $$unsorted) % 0.73/0.92 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.is_often_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.top_str (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.is_a_cluster_point_of_netstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.directed_relstr (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.function (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.is_eventually_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.lim_points_of_net (-> $$unsorted $$unsorted $$unsorted)) % 0.73/0.92 (define @t1 () (@var "A" $$unsorted)) % 0.73/0.92 (define @t2 () (@var "B" $$unsorted)) % 0.73/0.92 (define @t3 () (tptp.in @t1 @t2)) % 0.73/0.92 (define @t4 () (@list @t1 @t2)) % 0.73/0.92 (define @t5 () (tptp.finite @t1)) % 0.73/0.92 (define @t6 () (tptp.empty @t1)) % 0.73/0.92 (define @t7 () (@list @t1)) % 0.73/0.92 (define @t8 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 0.73/0.92 (define @t9 () (tptp.preboolean @t1)) % 0.73/0.92 (define @t10 () (tptp.finite @t2)) % 0.73/0.92 (define @t11 () (tptp.powerset @t1)) % 0.73/0.92 (define @t12 () (tptp.element @t2 @t11)) % 0.73/0.92 (define @t13 () (@list @t2)) % 0.73/0.92 (define @t14 () (@var "E" $$unsorted)) % 0.73/0.92 (define @t15 () (tptp.is_eventually_in @t1 @t2 @t14)) % 0.73/0.92 (define @t16 () (@var "D" $$unsorted)) % 0.73/0.92 (define @t17 () (tptp.point_neighbourhood @t14 @t1 @t16)) % 0.73/0.92 (define @t18 () (@list @t14)) % 0.73/0.92 (define @t19 () (forall @t18 (=> @t17 @t15))) % 0.73/0.92 (define @t20 () (@var "C" $$unsorted)) % 0.73/0.92 (define @t21 () (tptp.in @t16 @t20)) % 0.73/0.92 (define @t22 () (= @t21 @t19)) % 0.73/0.92 (define @t23 () (tptp.the_carrier @t1)) % 0.73/0.92 (define @t24 () (tptp.element @t16 @t23)) % 0.73/0.92 (define @t25 () (=> @t24 @t22)) % 0.73/0.92 (define @t26 () (@list @t16)) % 0.73/0.92 (define @t27 () (forall @t26 @t25)) % 0.73/0.92 (define @t28 () (tptp.lim_points_of_net @t1 @t2)) % 0.73/0.92 (define @t29 () (= @t20 @t28)) % 0.73/0.92 (define @t30 () (= @t29 @t27)) % 0.73/0.92 (define @t31 () (tptp.powerset @t23)) % 0.73/0.92 (define @t32 () (tptp.element @t20 @t31)) % 0.73/0.92 (define @t33 () (=> @t32 @t30)) % 0.73/0.92 (define @t34 () (@list @t20)) % 0.73/0.92 (define @t35 () (forall @t34 @t33)) % 0.73/0.92 (define @t36 () (tptp.net_str @t2 @t1)) % 0.73/0.92 (define @t37 () (tptp.directed_relstr @t2)) % 0.73/0.92 (define @t38 () (tptp.transitive_relstr @t2)) % 0.73/0.92 (define @t39 () (tptp.empty_carrier @t2)) % 0.73/0.92 (define @t40 () (not @t39)) % 0.73/0.92 (define @t41 () (and @t40 @t38 @t37 @t36)) % 0.73/0.92 (define @t42 () (=> @t41 @t35)) % 0.73/0.92 (define @t43 () (forall @t13 @t42)) % 0.73/0.92 (define @t44 () (tptp.top_str @t1)) % 0.73/0.92 (define @t45 () (tptp.topological_space @t1)) % 0.73/0.92 (define @t46 () (tptp.empty_carrier @t1)) % 0.73/0.92 (define @t47 () (not @t46)) % 0.73/0.92 (define @t48 () (and @t47 @t45 @t44)) % 0.73/0.92 (define @t49 () (=> @t48 @t43)) % 0.73/0.92 (define @t50 () (forall @t7 @t49)) % 0.73/0.92 (define @t51 () (tptp.is_often_in @t1 @t2 @t16)) % 0.73/0.92 (define @t52 () (tptp.point_neighbourhood @t16 @t1 @t20)) % 0.73/0.92 (define @t53 () (forall @t26 (=> @t52 @t51))) % 0.73/0.92 (define @t54 () (tptp.is_a_cluster_point_of_netstr @t1 @t2 @t20)) % 0.73/0.92 (define @t55 () (= @t54 @t53)) % 0.73/0.92 (define @t56 () (tptp.element @t20 @t23)) % 0.73/0.92 (define @t57 () (=> @t56 @t55)) % 0.73/0.92 (define @t58 () (forall @t34 @t57)) % 0.73/0.92 (define @t59 () (and @t40 @t36)) % 0.73/0.92 (define @t60 () (=> @t59 @t58)) % 0.73/0.92 (define @t61 () (forall @t13 @t60)) % 0.73/0.92 (define @t62 () (=> @t48 @t61)) % 0.73/0.92 (define @t63 () (forall @t7 @t62)) % 0.73/0.92 (define @t64 () (tptp.element @t28 @t31)) % 0.73/0.92 (define @t65 () (and @t47 @t45 @t44 @t40 @t38 @t37 @t36)) % 0.73/0.92 (define @t66 () (forall @t4 (=> @t65 @t64))) % 0.73/0.92 (define @t67 () (tptp.one_sorted_str @t1)) % 0.73/0.92 (define @t68 () (tptp.rel_str @t1)) % 0.73/0.92 (define @t69 () (forall @t7 (=> @t44 @t67))) % 0.73/0.92 (define @t70 () (tptp.point_neighbourhood @t20 @t1 @t2)) % 0.73/0.92 (define @t71 () (and @t47 @t45 @t44 (tptp.element @t2 @t23))) % 0.73/0.92 (define @t72 () (and @t47 @t67)) % 0.73/0.92 (define @t73 () (not @t6)) % 0.73/0.92 (define @t74 () (tptp.empty @t2)) % 0.73/0.92 (define @t75 () (not @t74)) % 0.73/0.92 (define @t76 () (tptp.element @t1 @t2)) % 0.73/0.92 (define @t77 () (tptp.is_often_in @t1 @t2 @t20)) % 0.73/0.92 (define @t78 () (tptp.is_eventually_in @t1 @t2 @t20)) % 0.73/0.92 (define @t79 () (forall @t34 (=> @t78 @t77))) % 0.73/0.92 (define @t80 () (=> @t41 @t79)) % 0.73/0.92 (define @t81 () (forall @t13 @t80)) % 0.73/0.92 (define @t82 () (=> @t72 @t81)) % 0.73/0.92 (define @t83 () (forall @t7 @t82)) % 0.73/0.92 (define @t84 () (tptp.in @t20 @t28)) % 0.73/0.92 (define @t85 () (=> @t84 @t54)) % 0.73/0.92 (define @t86 () (forall @t34 (=> @t56 @t85))) % 0.73/0.92 (define @t87 () (=> @t41 @t86)) % 0.73/0.92 (define @t88 () (forall @t13 @t87)) % 0.73/0.92 (define @t89 () (=> @t48 @t88)) % 0.73/0.92 (define @t90 () (forall @t7 @t89)) % 0.73/0.92 (define @t91 () (not @t90)) % 0.73/0.92 (define @t92 () (tptp.element @t2 (tptp.powerset @t20))) % 0.73/0.92 (define @t93 () (@list @t1 @t2 @t20)) % 0.73/0.92 (define @t94 () (@var "BOUND_VARIABLE_7733" $$unsorted)) % 0.73/0.92 (define @t95 () (tptp.lim_points_of_net @t1 @t94)) % 0.73/0.92 (define @t96 () (@var "BOUND_VARIABLE_7735" $$unsorted)) % 0.73/0.92 (define @t97 () (= @t96 @t95)) % 0.73/0.92 (define @t98 () (not @t17)) % 0.73/0.92 (define @t99 () (not @t24)) % 0.73/0.92 (define @t100 () (forall @t26 (or @t99 (= (forall @t18 (or @t98 (tptp.is_eventually_in @t1 @t94 @t14))) (tptp.in @t16 @t96))))) % 0.73/0.92 (define @t101 () (= (= @t95 @t96) @t100)) % 0.73/0.92 (define @t102 () (not (tptp.element @t96 @t31))) % 0.73/0.92 (define @t103 () (not (tptp.net_str @t94 @t1))) % 0.73/0.92 (define @t104 () (not (tptp.directed_relstr @t94))) % 0.73/0.92 (define @t105 () (not (tptp.transitive_relstr @t94))) % 0.73/0.92 (define @t106 () (tptp.empty_carrier @t94)) % 0.73/0.92 (define @t107 () (not @t44)) % 0.73/0.92 (define @t108 () (not @t45)) % 0.73/0.92 (define @t109 () (or @t46 @t108 @t107 @t106 @t105 @t104 @t103 @t102 @t101)) % 0.73/0.92 (define @t110 () (or @t106 @t105 @t104 @t103 @t102 @t101)) % 0.73/0.92 (define @t111 () (or @t46 @t108 @t107 @t110)) % 0.73/0.92 (define @t112 () (@list @t1 @t94 @t96)) % 0.73/0.92 (define @t113 () (forall @t112 @t111)) % 0.73/0.92 (define @t114 () (@list @t94 @t96)) % 0.73/0.92 (define @t115 () (forall @t114 @t111)) % 0.73/0.92 (define @t116 () (forall @t114 @t110)) % 0.73/0.92 (define @t117 () (@var "BOUND_VARIABLE_7703" $$unsorted)) % 0.73/0.92 (define @t118 () (or @t46 @t108 @t107 @t116)) % 0.73/0.92 (define @t119 () (tptp.in @t16 @t117)) % 0.73/0.92 (define @t120 () (forall @t18 (or @t98 @t15))) % 0.73/0.92 (define @t121 () (not (tptp.element @t117 @t31))) % 0.73/0.92 (define @t122 () (not @t36)) % 0.73/0.92 (define @t123 () (not @t37)) % 0.73/0.92 (define @t124 () (not @t38)) % 0.73/0.92 (define @t125 () (@list @t2 @t117)) % 0.73/0.92 (define @t126 () (forall @t125 (or @t39 @t124 @t123 @t122 @t121 (= (= @t28 @t117) (forall @t26 (or @t99 (= @t120 @t119))))))) % 0.73/0.92 (define @t127 () (or @t46 @t108 @t107 @t126)) % 0.73/0.92 (define @t128 () (or @t46 @t108 @t107)) % 0.73/0.92 (define @t129 () (not @t47)) % 0.73/0.92 (define @t130 () (or @t129 @t108 @t107)) % 0.73/0.92 (define @t131 () (not @t48)) % 0.73/0.92 (define @t132 () (or @t99 (= @t119 @t120))) % 0.73/0.92 (define @t133 () (forall @t26 @t132)) % 0.73/0.92 (define @t134 () (= (= @t117 @t28) @t133)) % 0.73/0.92 (define @t135 () (or @t39 @t124 @t123 @t122 @t121 @t134)) % 0.73/0.92 (define @t136 () (or @t121 @t134)) % 0.73/0.92 (define @t137 () (or @t39 @t124 @t123 @t122 @t136)) % 0.73/0.92 (define @t138 () (forall @t125 @t137)) % 0.73/0.92 (define @t139 () (@list @t117)) % 0.73/0.92 (define @t140 () (forall @t139 @t137)) % 0.73/0.92 (define @t141 () (forall @t139 @t136)) % 0.73/0.92 (define @t142 () (@list @t20)) % 0.73/0.92 (define @t143 () (or @t39 @t124 @t123 @t122 @t141)) % 0.73/0.92 (define @t144 () (= @t21 @t120)) % 0.73/0.92 (define @t145 () (= @t29 (forall @t26 (or @t99 @t144)))) % 0.73/0.92 (define @t146 () (forall @t34 (or (not @t32) @t145))) % 0.73/0.92 (define @t147 () (or @t39 @t124 @t123 @t122 @t146)) % 0.73/0.92 (define @t148 () (or @t39 @t124 @t123 @t122)) % 0.73/0.92 (define @t149 () (not @t40)) % 0.73/0.92 (define @t150 () (or @t149 @t124 @t123 @t122)) % 0.73/0.92 (define @t151 () (or @t149 (or @t124 (or @t123 @t122)))) % 0.73/0.92 (define @t152 () (not @t41)) % 0.73/0.92 (define @t153 () (@var "BOUND_VARIABLE_8061" $$unsorted)) % 0.73/0.92 (define @t154 () (@var "BOUND_VARIABLE_8059" $$unsorted)) % 0.73/0.92 (define @t155 () (tptp.is_a_cluster_point_of_netstr @t1 @t154 @t153)) % 0.73/0.92 (define @t156 () (not (tptp.in @t153 (tptp.lim_points_of_net @t1 @t154)))) % 0.73/0.92 (define @t157 () (not (tptp.element @t153 @t23))) % 0.73/0.92 (define @t158 () (not (tptp.net_str @t154 @t1))) % 0.73/0.92 (define @t159 () (not (tptp.directed_relstr @t154))) % 0.73/0.92 (define @t160 () (not (tptp.transitive_relstr @t154))) % 0.73/0.92 (define @t161 () (tptp.empty_carrier @t154)) % 0.73/0.92 (define @t162 () (or @t46 @t108 @t107 @t161 @t160 @t159 @t158 @t157 @t156 @t155)) % 0.73/0.92 (define @t163 () (@list @t1 @t154 @t153)) % 0.73/0.92 (define @t164 () (forall @t163 @t162)) % 0.73/0.92 (define @t165 () (@quantifiers_skolemize @t164 1)) % 0.73/0.92 (define @t166 () (@quantifiers_skolemize @t164 0)) % 0.73/0.92 (define @t167 () (tptp.is_eventually_in @t166 @t165 @t14)) % 0.73/0.92 (define @t168 () (forall @t18 (or (not (tptp.point_neighbourhood @t14 @t166 @t16)) @t167))) % 0.73/0.92 (define @t169 () (tptp.lim_points_of_net @t166 @t165)) % 0.73/0.92 (define @t170 () (tptp.in @t16 @t169)) % 0.73/0.92 (define @t171 () (tptp.the_carrier @t166)) % 0.73/0.92 (define @t172 () (not (tptp.element @t16 @t171))) % 0.73/0.92 (define @t173 () (forall @t26 (or @t172 (= @t170 @t168)))) % 0.73/0.92 (define @t174 () (or @t172 (= @t168 @t170))) % 0.73/0.92 (define @t175 () (forall @t26 @t174)) % 0.73/0.92 (define @t176 () (= @t175 (= @t169 @t169))) % 0.73/0.92 (define @t177 () (tptp.element @t169 (tptp.powerset @t171))) % 0.73/0.92 (define @t178 () (not @t177)) % 0.73/0.92 (define @t179 () (tptp.net_str @t165 @t166)) % 0.73/0.92 (define @t180 () (not @t179)) % 0.73/0.92 (define @t181 () (tptp.directed_relstr @t165)) % 0.73/0.92 (define @t182 () (not @t181)) % 0.73/0.92 (define @t183 () (tptp.transitive_relstr @t165)) % 0.73/0.92 (define @t184 () (not @t183)) % 0.73/0.92 (define @t185 () (tptp.empty_carrier @t165)) % 0.73/0.92 (define @t186 () (tptp.top_str @t166)) % 0.73/0.92 (define @t187 () (not @t186)) % 0.73/0.92 (define @t188 () (tptp.topological_space @t166)) % 0.73/0.92 (define @t189 () (not @t188)) % 0.73/0.92 (define @t190 () (tptp.empty_carrier @t166)) % 0.73/0.92 (define @t191 () (or @t190 @t189 @t187 @t185 @t184 @t182 @t180 @t178 @t176)) % 0.73/0.92 (define @t192 () (forall @t112 (or @t46 @t108 @t107 @t106 @t105 @t104 @t103 @t102 (= @t100 @t97)))) % 0.73/0.92 (define @t193 () (or @t190 @t189 @t187 @t185 @t184 @t182 @t180 @t178 @t173)) % 0.73/0.92 (define @t194 () (or @t129 @t108 @t107 @t149 @t124 @t123 @t122)) % 0.73/0.92 (define @t195 () (or @t161 @t160 @t159 @t158 @t157 @t156 @t155)) % 0.73/0.92 (define @t196 () (or @t46 @t108 @t107 @t195)) % 0.73/0.92 (define @t197 () (forall @t163 @t196)) % 0.73/0.92 (define @t198 () (@list @t154 @t153)) % 0.73/0.92 (define @t199 () (forall @t198 @t196)) % 0.73/0.92 (define @t200 () (forall @t198 @t195)) % 0.73/0.92 (define @t201 () (@var "BOUND_VARIABLE_8042" $$unsorted)) % 0.73/0.92 (define @t202 () (or @t46 @t108 @t107 @t200)) % 0.73/0.92 (define @t203 () (tptp.is_a_cluster_point_of_netstr @t1 @t2 @t201)) % 0.73/0.92 (define @t204 () (not (tptp.in @t201 @t28))) % 0.73/0.92 (define @t205 () (not (tptp.element @t201 @t23))) % 0.73/0.92 (define @t206 () (or @t39 @t124 @t123 @t122 @t205 @t204 @t203)) % 0.73/0.92 (define @t207 () (@list @t2 @t201)) % 0.73/0.92 (define @t208 () (forall @t207 @t206)) % 0.73/0.92 (define @t209 () (or @t46 @t108 @t107 @t208)) % 0.73/0.92 (define @t210 () (or @t205 @t204 @t203)) % 0.73/0.92 (define @t211 () (or @t39 @t124 @t123 @t122 @t210)) % 0.73/0.92 (define @t212 () (forall @t207 @t211)) % 0.73/0.92 (define @t213 () (@list @t201)) % 0.73/0.92 (define @t214 () (forall @t213 @t211)) % 0.73/0.92 (define @t215 () (forall @t213 @t210)) % 0.73/0.92 (define @t216 () (or @t39 @t124 @t123 @t122 @t215)) % 0.73/0.92 (define @t217 () (not @t84)) % 0.73/0.92 (define @t218 () (not @t56)) % 0.73/0.92 (define @t219 () (or @t218 @t217 @t54)) % 0.73/0.92 (define @t220 () (forall @t34 @t219)) % 0.73/0.92 (define @t221 () (or @t39 @t124 @t123 @t122 @t220)) % 0.73/0.92 (define @t222 () (@quantifiers_skolemize @t164 2)) % 0.73/0.92 (define @t223 () (tptp.is_a_cluster_point_of_netstr @t166 @t165 @t222)) % 0.73/0.92 (define @t224 () (tptp.in @t222 @t169)) % 0.73/0.92 (define @t225 () (not @t224)) % 0.73/0.92 (define @t226 () (tptp.element @t222 @t171)) % 0.73/0.92 (define @t227 () (not @t226)) % 0.73/0.92 (define @t228 () (or @t190 @t189 @t187 @t185 @t184 @t182 @t180 @t227 @t225 @t223)) % 0.73/0.92 (define @t229 () (@list true)) % 0.73/0.92 (define @t230 () (@list @t228)) % 0.73/0.92 (define @t231 () (or @t190 @t189 @t187 @t185 @t184 @t182 @t180 @t177)) % 0.73/0.92 (define @t232 () (forall @t18 (or (not (tptp.point_neighbourhood @t14 @t166 @t222)) @t167))) % 0.73/0.92 (define @t233 () (= @t224 @t232)) % 0.73/0.92 (define @t234 () (or @t227 @t233)) % 0.73/0.92 (define @t235 () (@list false false)) % 0.73/0.92 (define @t236 () (@var "BOUND_VARIABLE_8015" $$unsorted)) % 0.73/0.92 (define @t237 () (@var "BOUND_VARIABLE_8013" $$unsorted)) % 0.73/0.92 (define @t238 () (tptp.is_often_in @t1 @t237 @t236)) % 0.73/0.92 (define @t239 () (not (tptp.is_eventually_in @t1 @t237 @t236))) % 0.73/0.92 (define @t240 () (not (tptp.net_str @t237 @t1))) % 0.73/0.92 (define @t241 () (not (tptp.directed_relstr @t237))) % 0.73/0.92 (define @t242 () (not (tptp.transitive_relstr @t237))) % 0.73/0.92 (define @t243 () (tptp.empty_carrier @t237)) % 0.73/0.92 (define @t244 () (not @t67)) % 0.73/0.92 (define @t245 () (or @t243 @t242 @t241 @t240 @t239 @t238)) % 0.73/0.92 (define @t246 () (or @t46 @t244 @t245)) % 0.73/0.92 (define @t247 () (forall (@list @t1 @t237 @t236) @t246)) % 0.73/0.92 (define @t248 () (@list @t237 @t236)) % 0.73/0.92 (define @t249 () (forall @t248 @t246)) % 0.73/0.92 (define @t250 () (forall @t248 @t245)) % 0.73/0.92 (define @t251 () (@var "BOUND_VARIABLE_7998" $$unsorted)) % 0.73/0.92 (define @t252 () (or @t46 @t244 @t250)) % 0.73/0.92 (define @t253 () (tptp.is_often_in @t1 @t2 @t251)) % 0.73/0.92 (define @t254 () (not (tptp.is_eventually_in @t1 @t2 @t251))) % 0.73/0.92 (define @t255 () (or @t39 @t124 @t123 @t122 @t254 @t253)) % 0.73/0.92 (define @t256 () (@list @t2 @t251)) % 0.73/0.92 (define @t257 () (forall @t256 @t255)) % 0.73/0.92 (define @t258 () (or @t46 @t244 @t257)) % 0.73/0.92 (define @t259 () (or @t254 @t253)) % 0.73/0.92 (define @t260 () (or @t39 @t124 @t123 @t122 @t259)) % 0.73/0.92 (define @t261 () (forall @t256 @t260)) % 0.73/0.92 (define @t262 () (@list @t251)) % 0.73/0.92 (define @t263 () (forall @t262 @t260)) % 0.73/0.92 (define @t264 () (forall @t262 @t259)) % 0.73/0.92 (define @t265 () (or @t39 @t124 @t123 @t122 @t264)) % 0.73/0.92 (define @t266 () (forall @t34 (or (not @t78) @t77))) % 0.73/0.92 (define @t267 () (or @t39 @t124 @t123 @t122 @t266)) % 0.73/0.92 (define @t268 () (forall @t26 (or (not (tptp.point_neighbourhood @t16 @t166 @t222)) (tptp.is_often_in @t166 @t165 @t16)))) % 0.73/0.92 (define @t269 () (@quantifiers_skolemize @t268 0)) % 0.73/0.92 (define @t270 () (@var "BOUND_VARIABLE_7802" $$unsorted)) % 0.73/0.92 (define @t271 () (@var "BOUND_VARIABLE_7804" $$unsorted)) % 0.73/0.92 (define @t272 () (= (tptp.is_a_cluster_point_of_netstr @t1 @t270 @t271) (forall @t26 (or (not (tptp.point_neighbourhood @t16 @t1 @t271)) (tptp.is_often_in @t1 @t270 @t16))))) % 0.73/0.92 (define @t273 () (not (tptp.element @t271 @t23))) % 0.73/0.92 (define @t274 () (not (tptp.net_str @t270 @t1))) % 0.73/0.92 (define @t275 () (tptp.empty_carrier @t270)) % 0.73/0.92 (define @t276 () (or @t275 @t274 @t273 @t272)) % 0.73/0.92 (define @t277 () (or @t46 @t108 @t107 @t276)) % 0.73/0.92 (define @t278 () (forall (@list @t1 @t270 @t271) @t277)) % 0.73/0.92 (define @t279 () (@list @t270 @t271)) % 0.73/0.92 (define @t280 () (forall @t279 @t277)) % 0.73/0.92 (define @t281 () (forall @t279 @t276)) % 0.73/0.92 (define @t282 () (@var "BOUND_VARIABLE_7782" $$unsorted)) % 0.73/0.92 (define @t283 () (or @t46 @t108 @t107 @t281)) % 0.73/0.92 (define @t284 () (= (tptp.is_a_cluster_point_of_netstr @t1 @t2 @t282) (forall @t26 (or (not (tptp.point_neighbourhood @t16 @t1 @t282)) @t51)))) % 0.73/0.92 (define @t285 () (not (tptp.element @t282 @t23))) % 0.73/0.92 (define @t286 () (or @t39 @t122 @t285 @t284)) % 0.73/0.92 (define @t287 () (@list @t2 @t282)) % 0.73/0.92 (define @t288 () (forall @t287 @t286)) % 0.73/0.92 (define @t289 () (or @t46 @t108 @t107 @t288)) % 0.73/0.92 (define @t290 () (or @t285 @t284)) % 0.73/0.92 (define @t291 () (or @t39 @t122 @t290)) % 0.73/0.92 (define @t292 () (forall @t287 @t291)) % 0.73/0.92 (define @t293 () (@list @t282)) % 0.73/0.92 (define @t294 () (forall @t293 @t291)) % 0.73/0.92 (define @t295 () (forall @t293 @t290)) % 0.73/0.92 (define @t296 () (or @t39 @t122 @t295)) % 0.73/0.92 (define @t297 () (= @t54 (forall @t26 (or (not @t52) @t51)))) % 0.73/0.92 (define @t298 () (forall @t34 (or @t218 @t297))) % 0.73/0.92 (define @t299 () (or @t39 @t122 @t298)) % 0.73/0.92 (define @t300 () (= @t223 @t268)) % 0.73/0.92 (define @t301 () (or @t190 @t189 @t187 @t185 @t180 @t227 @t300)) % 0.73/0.92 (define @t302 () (not @t268)) % 0.73/0.92 (define @t303 () (@list true false)) % 0.73/0.92 (define @t304 () (tptp.is_often_in @t166 @t165 @t269)) % 0.73/0.92 (define @t305 () (tptp.point_neighbourhood @t269 @t166 @t222)) % 0.73/0.92 (define @t306 () (not @t305)) % 0.73/0.92 (define @t307 () (or @t306 @t304)) % 0.73/0.92 (define @t308 () (@list @t307)) % 0.73/0.92 (define @t309 () (tptp.one_sorted_str @t166)) % 0.73/0.92 (define @t310 () (or @t187 @t309)) % 0.73/0.92 (define @t311 () (tptp.is_eventually_in @t166 @t165 @t269)) % 0.73/0.92 (define @t312 () (not @t311)) % 0.73/0.92 (define @t313 () (not @t309)) % 0.73/0.92 (define @t314 () (or @t190 @t313 @t185 @t184 @t182 @t180 @t312 @t304)) % 0.73/0.92 (define @t315 () (or @t306 @t311)) % 0.73/0.92 (define @t316 () (not @t315)) % 0.73/0.92 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.73/0.92 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.73/0.92 (assume @p3 (forall @t7 (=> @t9 @t8))) % 0.73/0.92 (assume @p4 (forall @t7 (=> @t6 (tptp.function @t1)))) % 0.73/0.92 (assume @p5 (forall @t7 (=> @t5 (forall @t13 (=> @t12 @t10))))) % 0.73/0.92 (assume @p6 (forall @t7 (=> @t8 @t9))) % 0.73/0.92 (assume @p7 @t50) % 0.73/0.92 (assume @p8 @t63) % 0.73/0.92 (assume @p9 @t66) % 0.73/0.92 (assume @p10 true) % 0.73/0.92 (assume @p11 (forall @t7 (=> @t68 @t67))) % 0.73/0.92 (assume @p12 @t69) % 0.73/0.92 (assume @p13 (forall @t7 (=> @t67 (forall @t13 (=> @t36 (tptp.rel_str @t2)))))) % 0.73/0.92 (assume @p14 (forall @t4 (=> @t71 (forall @t34 (=> @t70 @t32))))) % 0.73/0.92 (assume @p15 (exists @t7 @t68)) % 0.73/0.92 (assume @p16 (exists @t7 @t44)) % 0.73/0.92 (assume @p17 (exists @t7 @t67)) % 0.73/0.92 (assume @p18 (forall @t7 (=> @t67 (exists @t13 @t36)))) % 0.73/0.92 (assume @p19 (forall @t4 (=> @t71 (exists @t34 @t70)))) % 0.73/0.92 (assume @p20 (forall @t7 (exists @t13 (tptp.element @t2 @t1)))) % 0.73/0.92 (assume @p21 (forall @t7 (and (not (tptp.empty @t11)) (tptp.cup_closed @t11) (tptp.diff_closed @t11) (tptp.preboolean @t11)))) % 0.73/0.92 (assume @p22 (forall @t7 (=> @t72 (not (tptp.empty @t23))))) % 0.73/0.92 (assume @p23 (tptp.empty tptp.empty_set)) % 0.73/0.92 (assume @p24 (exists @t7 (and @t73 @t5))) % 0.73/0.92 (assume @p25 (exists @t7 @t6)) % 0.73/0.92 (assume @p26 (exists @t7 @t73)) % 0.73/0.92 (assume @p27 (forall @t7 (=> @t73 (exists @t13 (and @t12 @t75 @t10))))) % 0.73/0.92 (assume @p28 (exists @t7 (and @t67 @t47))) % 0.73/0.92 (assume @p29 (forall @t7 (=> @t72 (exists @t13 (and (tptp.element @t2 @t31) @t75))))) % 0.73/0.92 (assume @p30 (forall @t4 (tptp.subset @t1 @t1))) % 0.73/0.92 (assume @p31 (forall @t4 (=> @t3 @t76))) % 0.73/0.92 (assume @p32 @t83) % 0.73/0.92 (assume @p33 @t91) % 0.73/0.92 (assume @p34 (forall @t4 (=> @t76 (or @t74 @t3)))) % 0.73/0.92 (assume @p35 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.73/0.92 (assume @p36 (forall @t93 (=> (and @t3 @t92) (tptp.element @t1 @t20)))) % 0.73/0.92 (assume @p37 (forall @t93 (not (and @t3 @t92 (tptp.empty @t20))))) % 0.73/0.92 (assume @p38 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.73/0.92 (assume @p39 (forall @t4 (not (and @t3 @t74)))) % 0.73/0.92 (assume @p40 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t74)))) % 0.73/0.92 (step @p41 :rule eq-symm :args (@t97 @t100)) % 0.73/0.92 (step @p42 :rule refl :args (@t100)) % 0.73/0.92 (step @p43 :rule eq-symm :args (@t95 @t96)) % 0.73/0.92 (step @p44 :rule cong :premises (@p43 @p42) :args (@t101)) % 0.73/0.92 (step @p45 :rule trans :premises (@p44 @p41)) % 0.73/0.92 (step @p46 :rule refl :args (@t102)) % 0.73/0.92 (step @p47 :rule refl :args (@t103)) % 0.73/0.92 (step @p48 :rule refl :args (@t104)) % 0.73/0.92 (step @p49 :rule refl :args (@t105)) % 0.73/0.92 (step @p50 :rule refl :args (@t106)) % 0.73/0.92 (step @p51 :rule refl :args (@t107)) % 0.73/0.92 (step @p52 :rule refl :args (@t108)) % 0.73/0.92 (step @p53 :rule refl :args (@t46)) % 0.73/0.92 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45) :args (@t109)) % 0.73/0.92 (step @p55 :rule aci_norm :args ((= @t111 @t109))) % 0.73/0.92 (step @p56 :rule trans :premises (@p55 @p54)) % 0.73/0.92 (step @p57 :rule cong :premises (@p56) :args (@t113)) % 0.73/0.92 (step @p58 :rule quant-merge-prenex :args ((= (forall @t7 @t115) @t113))) % 0.73/0.92 (step @p59 :rule alpha_equiv :args (@t116 (@list @t94 @t96) (@list @t2 @t117))) % 0.73/0.92 (step @p60 :rule refl :args (@t107)) % 0.73/0.92 (step @p61 :rule refl :args (@t108)) % 0.73/0.92 (step @p62 :rule refl :args (@t46)) % 0.73/0.92 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60 @p59) :args (@t118)) % 0.73/0.92 (step @p64 :rule quant-miniscope-or :args ((= @t115 @t118))) % 0.73/0.92 (step @p65 :rule trans :premises (@p64 @p63)) % 0.73/0.92 (step @p66 :rule symm :premises (@p65)) % 0.73/0.92 (step @p67 :rule cong :premises (@p66) :args ((forall @t7 @t127))) % 0.73/0.92 (step @p68 :rule trans :premises (@p67 @p58)) % 0.73/0.92 (step @p69 :rule trans :premises (@p68 @p57)) % 0.73/0.92 (step @p70 :rule aci_norm :args ((= (or @t128 @t126) @t127))) % 0.73/0.92 (step @p71 :rule refl :args (@t126)) % 0.73/0.92 (step @p72 :rule bool-double-not-elim :args (@t46)) % 0.73/0.92 (step @p73 :rule nary_cong :premises (@p72 @p61 @p60) :args (@t130)) % 0.73/0.92 (step @p74 :rule aci_norm :args ((= (or @t129 (or @t108 @t107)) @t130))) % 0.73/0.92 (step @p75 :rule trans :premises (@p74 @p73)) % 0.73/0.92 (step @p76 :rule bool-and-de-morgan :args (@t45 @t44 true)) % 0.73/0.92 (step @p77 :rule refl :args (@t129)) % 0.73/0.92 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t129 (not (and @t45 @t44))))) % 0.73/0.92 (step @p79 :rule bool-and-de-morgan :args (@t47 @t45 (and @t44))) % 0.73/0.92 (step @p80 :rule trans :premises (@p79 @p78)) % 0.73/0.92 (step @p81 :rule trans :premises (@p80 @p75)) % 0.73/0.92 (step @p82 :rule nary_cong :premises (@p81 @p71) :args ((or @t131 @t126))) % 0.73/0.92 (step @p83 :rule trans :premises (@p82 @p70)) % 0.73/0.92 (step @p84 :rule bool-impl-elim :args (@t48 @t126)) % 0.73/0.92 (step @p85 :rule trans :premises (@p84 @p83)) % 0.73/0.92 (step @p86 :rule cong :premises (@p85) :args ((forall @t7 (=> @t48 @t126)))) % 0.73/0.92 (step @p87 :rule trans :premises (@p86 @p69)) % 0.73/0.92 (step @p88 :rule eq-symm :args (@t119 @t120)) % 0.73/0.92 (step @p89 :rule refl :args (@t99)) % 0.73/0.92 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t132)) % 0.73/0.92 (step @p91 :rule cong :premises (@p90) :args (@t133)) % 0.73/0.92 (step @p92 :rule eq-symm :args (@t117 @t28)) % 0.73/0.92 (step @p93 :rule cong :premises (@p92 @p91) :args (@t134)) % 0.73/0.92 (step @p94 :rule refl :args (@t121)) % 0.73/0.92 (step @p95 :rule refl :args (@t122)) % 0.73/0.92 (step @p96 :rule refl :args (@t123)) % 0.73/0.92 (step @p97 :rule refl :args (@t124)) % 0.73/0.92 (step @p98 :rule refl :args (@t39)) % 0.73/0.92 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96 @p95 @p94 @p93) :args (@t135)) % 0.73/0.92 (step @p100 :rule aci_norm :args ((= @t137 @t135))) % 0.73/0.92 (step @p101 :rule trans :premises (@p100 @p99)) % 0.73/0.92 (step @p102 :rule cong :premises (@p101) :args (@t138)) % 0.73/0.92 (step @p103 :rule quant-merge-prenex :args ((= (forall @t13 @t140) @t138))) % 0.73/0.92 (step @p104 :rule alpha_equiv :args (@t141 (@list @t117) @t142)) % 0.73/0.92 (step @p105 :rule refl :args (@t122)) % 0.73/0.92 (step @p106 :rule refl :args (@t123)) % 0.73/0.92 (step @p107 :rule refl :args (@t124)) % 0.73/0.92 (step @p108 :rule refl :args (@t39)) % 0.73/0.92 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105 @p104) :args (@t143)) % 0.73/0.92 (step @p110 :rule quant-miniscope-or :args ((= @t140 @t143))) % 0.73/0.92 (step @p111 :rule trans :premises (@p110 @p109)) % 0.73/0.92 (step @p112 :rule symm :premises (@p111)) % 0.73/0.92 (step @p113 :rule cong :premises (@p112) :args ((forall @t13 @t147))) % 0.73/0.92 (step @p114 :rule trans :premises (@p113 @p103)) % 0.73/0.92 (step @p115 :rule trans :premises (@p114 @p102)) % 0.73/0.92 (step @p116 :rule aci_norm :args ((= (or @t148 @t146) @t147))) % 0.73/0.92 (step @p117 :rule refl :args (@t146)) % 0.73/0.92 (step @p118 :rule bool-double-not-elim :args (@t39)) % 0.73/0.92 (step @p119 :rule nary_cong :premises (@p118 @p107 @p106 @p105) :args (@t150)) % 0.73/0.92 (step @p120 :rule aci_norm :args ((= @t151 @t150))) % 0.73/0.92 (step @p121 :rule trans :premises (@p120 @p119)) % 0.73/0.92 (step @p122 :rule bool-and-de-morgan :args (@t37 @t36 true)) % 0.73/0.92 (step @p123 :rule nary_cong :premises (@p107 @p122) :args ((or @t124 (not (and @t37 @t36))))) % 0.73/0.92 (step @p124 :rule bool-and-de-morgan :args (@t38 @t37 (and @t36))) % 0.73/0.92 (step @p125 :rule trans :premises (@p124 @p123)) % 0.73/0.92 (step @p126 :rule refl :args (@t149)) % 0.73/0.92 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t149 (not (and @t38 @t37 @t36))))) % 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bool-impl-elim :args (@t78 @t77)) % 0.73/0.92 (step @p370 :rule cong :premises (@p369) :args (@t79)) % 0.73/0.92 (step @p371 :rule cong :premises (@p155 @p370) :args (@t80)) % 0.73/0.92 (step @p372 :rule cong :premises (@p371) :args (@t81)) % 0.73/0.92 (step @p373 :rule trans :premises (@p372 @p368)) % 0.73/0.92 (step @p374 :rule refl :args (@t72)) % 0.73/0.92 (step @p375 :rule cong :premises (@p374 @p373) :args (@t82)) % 0.73/0.92 (step @p376 :rule cong :premises (@p375) :args (@t83)) % 0.73/0.92 (step @p377 :rule trans :premises (@p376 @p349)) % 0.73/0.92 (step @p378 :rule eq_resolve :premises (@p32 @p377)) % 0.73/0.92 (step @p379 :rule instantiate :premises (@p378) :args ((@list @t166 @t165 @t269))) % 0.73/0.92 (step @p380 :rule aci_norm :args ((= @t277 (or @t46 @t108 @t107 @t275 @t274 @t273 @t272)))) % 0.73/0.92 (step @p381 :rule cong :premises (@p380) :args (@t278)) % 0.73/0.92 (step @p382 :rule quant-merge-prenex :args ((= (forall @t7 @t280) @t278))) % 0.73/0.92 (step @p383 :rule alpha_equiv :args (@t281 (@list @t270 @t271) (@list @t2 @t282))) % 0.73/0.92 (step @p384 :rule nary_cong :premises (@p62 @p61 @p60 @p383) :args (@t283)) % 0.73/0.92 (step @p385 :rule quant-miniscope-or :args ((= @t280 @t283))) % 0.73/0.92 (step @p386 :rule trans :premises (@p385 @p384)) % 0.73/0.92 (step @p387 :rule symm :premises (@p386)) % 0.73/0.92 (step @p388 :rule cong :premises (@p387) :args ((forall @t7 @t289))) % 0.73/0.92 (step @p389 :rule trans :premises (@p388 @p382)) % 0.73/0.92 (step @p390 :rule trans :premises (@p389 @p381)) % 0.73/0.92 (step @p391 :rule aci_norm :args ((= (or @t128 @t288) @t289))) % 0.73/0.92 (step @p392 :rule refl :args (@t288)) % 0.73/0.92 (step @p393 :rule nary_cong :premises (@p81 @p392) :args ((or @t131 @t288))) % 0.73/0.92 (step @p394 :rule trans :premises (@p393 @p391)) % 0.73/0.92 (step @p395 :rule bool-impl-elim :args (@t48 @t288)) % 0.73/0.92 (step @p396 :rule trans :premises (@p395 @p394)) % 0.73/0.92 (step @p397 :rule cong :premises (@p396) :args ((forall @t7 (=> @t48 @t288)))) % 0.73/0.92 (step @p398 :rule trans :premises (@p397 @p390)) % 0.73/0.92 (step @p399 :rule aci_norm :args ((= @t291 @t286))) % 0.73/0.92 (step @p400 :rule cong :premises (@p399) :args (@t292)) % 0.73/0.92 (step @p401 :rule quant-merge-prenex :args ((= (forall @t13 @t294) @t292))) % 0.73/0.92 (step @p402 :rule alpha_equiv :args (@t295 (@list @t282) @t142)) % 0.73/0.92 (step @p403 :rule nary_cong :premises (@p108 @p105 @p402) :args (@t296)) % 0.73/0.92 (step @p404 :rule quant-miniscope-or :args ((= @t294 @t296))) % 0.73/0.92 (step @p405 :rule trans :premises (@p404 @p403)) % 0.73/0.92 (step @p406 :rule symm :premises (@p405)) % 0.73/0.92 (step @p407 :rule cong :premises (@p406) :args ((forall @t13 @t299))) % 0.73/0.92 (step @p408 :rule trans :premises (@p407 @p401)) % 0.73/0.92 (step @p409 :rule trans :premises (@p408 @p400)) % 0.73/0.92 (step @p410 :rule aci_norm :args ((= (or (or @t39 @t122) @t298) @t299))) % 0.73/0.92 (step @p411 :rule refl :args (@t298)) % 0.73/0.92 (step @p412 :rule nary_cong :premises (@p118 @p105) :args ((or @t149 @t122))) % 0.73/0.92 (step @p413 :rule bool-and-de-morgan :args (@t40 @t36 true)) % 0.73/0.92 (step @p414 :rule trans :premises (@p413 @p412)) % 0.73/0.92 (step @p415 :rule nary_cong :premises (@p414 @p411) :args ((or (not @t59) @t298))) % 0.73/0.92 (step @p416 :rule trans :premises (@p415 @p410)) % 0.73/0.92 (step @p417 :rule bool-impl-elim :args (@t59 @t298)) % 0.73/0.92 (step @p418 :rule trans :premises (@p417 @p416)) % 0.73/0.92 (step @p419 :rule cong :premises (@p418) :args ((forall @t13 (=> @t59 @t298)))) % 0.73/0.92 (step @p420 :rule trans :premises (@p419 @p409)) % 0.73/0.92 (step @p421 :rule bool-impl-elim :args (@t56 @t297)) % 0.73/0.92 (step @p422 :rule cong :premises (@p421) :args ((forall @t34 (=> @t56 @t297)))) % 0.73/0.92 (step @p423 :rule bool-impl-elim :args (@t52 @t51)) % 0.73/0.92 (step @p424 :rule cong :premises (@p423) :args (@t53)) % 0.73/0.93 (step @p425 :rule refl :args (@t54)) % 0.73/0.93 (step @p426 :rule cong :premises (@p425 @p424) :args (@t55)) % 0.73/0.93 (step @p427 :rule refl :args (@t56)) % 0.73/0.93 (step @p428 :rule cong :premises (@p427 @p426) :args (@t57)) % 0.73/0.93 (step @p429 :rule cong :premises (@p428) :args (@t58)) % 0.73/0.93 (step @p430 :rule trans :premises (@p429 @p422)) % 0.73/0.93 (step @p431 :rule refl :args (@t59)) % 0.73/0.93 (step @p432 :rule cong :premises (@p431 @p430) :args (@t60)) % 0.73/0.93 (step @p433 :rule cong :premises (@p432) :args (@t61)) % 0.73/0.93 (step @p434 :rule trans :premises (@p433 @p420)) % 0.73/0.93 (step @p435 :rule cong :premises (@p159 @p434) :args (@t62)) % 0.73/0.93 (step @p436 :rule cong :premises (@p435) :args (@t63)) % 0.73/0.93 (step @p437 :rule trans :premises (@p436 @p398)) % 0.73/0.93 (step @p438 :rule eq_resolve :premises (@p8 @p437)) % 0.73/0.93 (step @p439 :rule instantiate :premises (@p438) :args ((@list @t166 @t165 @t222))) % 0.73/0.93 (step @p440 :rule cnf_or_pos :args (@t301)) % 0.73/0.93 (step @p441 :rule reordering :premises (@p440) :args ((or @t190 @t189 @t187 @t185 @t180 @t227 @t300 (not @t301)))) % 0.73/0.93 (step @p442 :rule chain_m_resolution :premises (@p441 @p301 @p299 @p293 @p287 @p273 @p314 @p439) :args (@t300 (@list true false false true false false false) (@list @t190 @t188 @t186 @t185 @t179 @t226 @t301))) % 0.73/0.93 (step @p443 :rule cnf_or_neg :args (@t228 9)) % 0.73/0.93 (step @p444 :rule chain_m_resolution :premises (@p443 @p266) :args ((not @t223) @t229 @t230)) % 0.73/0.93 (step @p445 :rule cnf_equiv_pos2 :args (@t300)) % 0.73/0.93 (step @p446 :rule reordering :premises (@p445) :args ((or @t223 @t302 (not @t300)))) % 0.73/0.93 (step @p447 :rule chain_m_resolution :premises (@p446 @p444 @p442) :args (@t302 @t303 (@list @t223 @t300))) % 0.73/0.93 (step @p448 :rule skolemize :premises (@p447)) % 0.73/0.93 (step @p449 :rule cnf_or_neg :args (@t307 1)) % 0.73/0.93 (step @p450 :rule chain_m_resolution :premises (@p449 @p448) :args ((not @t304) @t229 @t308)) % 0.73/0.93 (step @p451 :rule bool-impl-elim :args (@t44 @t67)) % 0.73/0.93 (step @p452 :rule cong :premises (@p451) :args (@t69)) % 0.73/0.93 (step @p453 :rule eq_resolve :premises (@p12 @p452)) % 0.73/0.93 (step @p454 :rule instantiate :premises (@p453) :args ((@list @t166))) % 0.73/0.93 (step @p455 :rule cnf_or_pos :args (@t310)) % 0.73/0.93 (step @p456 :rule reordering :premises (@p455) :args ((or @t187 @t309 (not @t310)))) % 0.73/0.93 (step @p457 :rule chain_m_resolution :premises (@p456 @p293 @p454) :args (@t309 @t235 (@list @t186 @t310))) % 0.73/0.93 (step @p458 :rule cnf_or_pos :args (@t314)) % 0.73/0.93 (step @p459 :rule reordering :premises (@p458) :args ((or @t190 @t185 @t184 @t182 @t180 @t313 @t304 @t312 (not @t314)))) % 0.73/0.93 (step @p460 :rule chain_m_resolution :premises (@p459 @p301 @p287 @p285 @p279 @p273 @p457 @p450 @p379) :args (@t312 (@list true true false false false false true false) (@list @t190 @t185 @t183 @t181 @t179 @t309 @t304 @t314))) % 0.73/0.93 (step @p461 :rule bool-double-not-elim :args (@t305)) % 0.73/0.93 (step @p462 :rule refl :args (@t307)) % 0.73/0.93 (step @p463 :rule nary_cong :premises (@p462 @p461) :args ((or @t307 (not @t306)))) % 0.73/0.93 (step @p464 :rule cnf_or_neg :args (@t307 0)) % 0.73/0.93 (step @p465 :rule eq_resolve :premises (@p464 @p463)) % 0.73/0.93 (step @p466 :rule reordering :premises (@p465) :args ((or @t305 @t307))) % 0.73/0.93 (step @p467 :rule chain_m_resolution :premises (@p466 @p448) :args (@t305 @t229 @t308)) % 0.73/0.93 (step @p468 :rule cnf_or_pos :args (@t315)) % 0.73/0.93 (step @p469 :rule reordering :premises (@p468) :args ((or @t306 @t311 @t316))) % 0.73/0.93 (step @p470 :rule chain_m_resolution :premises (@p469 @p467 @p460) :args (@t316 (@list false true) (@list @t305 @t311))) % 0.73/0.93 (assume-push @p479 @t232) % 0.73/0.93 (step @p472 :rule instantiate :premises (@p326) :args ((@list @t269))) % 0.73/0.93 (step-pop @p480 :rule scope :premises (@p472)) % 0.73/0.93 (step @p473 :rule process_scope :premises (@p480) :args (@t315)) % 0.73/0.93 (step @p475 :rule implies_elim :premises (@p473)) % 0.73/0.93 (step @p476 false :rule chain_m_resolution :premises (@p475 @p470 @p326) :args (false @t303 (@list @t315 @t232))) % 0.73/0.93 ) % 0.73/0.93 % SZS output end Proof % 0.73/0.93 % cvc5 exiting %------------------------------------------------------------------------------