%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU399+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 : n002.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 0.45s 0.65s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU399+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.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 17:08:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.65 % SZS status Theorem % 0.45/0.65 % SZS output start Proof % 0.45/0.65 ( % 0.45/0.65 (declare-sort $$unsorted 0) % 0.45/0.65 (declare-const tptp.netstr_restr_to_element (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.strict_net_str (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.top_str (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.netstr_induced_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.boundary_set (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.subnet (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.directed_relstr (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.function (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.subnetstr_of_element (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.nowhere_dense (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.net_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (define @t1 () (@var "H" $$unsorted)) % 0.45/0.65 (define @t2 () (@var "B" $$unsorted)) % 0.45/0.65 (define @t3 () (@var "A" $$unsorted)) % 0.45/0.65 (define @t4 () (tptp.subnetstr_of_element @t3 @t2 @t1)) % 0.45/0.65 (define @t5 () (tptp.the_carrier @t3)) % 0.45/0.65 (define @t6 () (@var "G" $$unsorted)) % 0.45/0.65 (define @t7 () (= @t6 (tptp.relation_rng_as_subset (tptp.the_carrier @t4) @t5 (tptp.the_mapping @t3 @t4)))) % 0.45/0.65 (define @t8 () (@var "F" $$unsorted)) % 0.45/0.65 (define @t9 () (= @t8 @t1)) % 0.45/0.65 (define @t10 () (@var "D" $$unsorted)) % 0.45/0.65 (define @t11 () (= @t10 (tptp.topstr_closure @t3 @t6))) % 0.45/0.65 (define @t12 () (tptp.the_carrier @t2)) % 0.45/0.65 (define @t13 () (tptp.element @t1 @t12)) % 0.45/0.65 (define @t14 () (and @t13 @t11 @t9 @t7)) % 0.45/0.65 (define @t15 () (@list @t1)) % 0.45/0.65 (define @t16 () (exists @t15 @t14)) % 0.45/0.65 (define @t17 () (tptp.netstr_induced_subset @t6 @t3 @t2)) % 0.45/0.65 (define @t18 () (and @t17 @t16)) % 0.45/0.65 (define @t19 () (@list @t6)) % 0.45/0.65 (define @t20 () (exists @t19 @t18)) % 0.45/0.65 (define @t21 () (tptp.in @t8 @t12)) % 0.45/0.65 (define @t22 () (and @t21 @t20)) % 0.45/0.65 (define @t23 () (@var "E" $$unsorted)) % 0.45/0.65 (define @t24 () (tptp.in @t8 @t23)) % 0.45/0.65 (define @t25 () (= @t24 @t22)) % 0.45/0.65 (define @t26 () (@list @t8)) % 0.45/0.65 (define @t27 () (forall @t26 @t25)) % 0.45/0.65 (define @t28 () (@list @t23)) % 0.45/0.65 (define @t29 () (exists @t28 @t27)) % 0.45/0.65 (define @t30 () (@list @t10)) % 0.45/0.65 (define @t31 () (forall @t30 @t29)) % 0.45/0.65 (define @t32 () (tptp.net_str @t2 @t3)) % 0.45/0.65 (define @t33 () (tptp.directed_relstr @t2)) % 0.45/0.65 (define @t34 () (tptp.transitive_relstr @t2)) % 0.45/0.65 (define @t35 () (tptp.empty_carrier @t2)) % 0.45/0.65 (define @t36 () (not @t35)) % 0.45/0.65 (define @t37 () (tptp.top_str @t3)) % 0.45/0.65 (define @t38 () (tptp.topological_space @t3)) % 0.45/0.65 (define @t39 () (tptp.empty_carrier @t3)) % 0.45/0.65 (define @t40 () (not @t39)) % 0.45/0.65 (define @t41 () (and @t40 @t38 @t37 @t36 @t34 @t33 @t32)) % 0.45/0.65 (define @t42 () (=> @t41 @t31)) % 0.45/0.65 (define @t43 () (@var "C" $$unsorted)) % 0.45/0.65 (define @t44 () (@list @t3 @t2 @t43)) % 0.45/0.65 (define @t45 () (forall @t44 @t42)) % 0.45/0.65 (define @t46 () (not @t45)) % 0.45/0.65 (define @t47 () (tptp.boundary_set @t2 @t3)) % 0.45/0.65 (define @t48 () (tptp.v5_membered @t2)) % 0.45/0.65 (define @t49 () (tptp.v4_membered @t2)) % 0.45/0.65 (define @t50 () (tptp.v3_membered @t2)) % 0.45/0.65 (define @t51 () (tptp.v2_membered @t2)) % 0.45/0.65 (define @t52 () (tptp.v1_membered @t2)) % 0.45/0.65 (define @t53 () (tptp.empty @t2)) % 0.45/0.65 (define @t54 () (tptp.powerset @t5)) % 0.45/0.65 (define @t55 () (tptp.element @t2 @t54)) % 0.45/0.65 (define @t56 () (@list @t2)) % 0.45/0.65 (define @t57 () (@list @t3)) % 0.45/0.65 (define @t58 () (tptp.nowhere_dense @t2 @t3)) % 0.45/0.65 (define @t59 () (tptp.closed_subset @t2 @t3)) % 0.45/0.65 (define @t60 () (tptp.open_subset @t2 @t3)) % 0.45/0.65 (define @t61 () (and @t38 @t37)) % 0.45/0.65 (define @t62 () (tptp.finite @t3)) % 0.45/0.65 (define @t63 () (tptp.empty @t3)) % 0.45/0.65 (define @t64 () (not @t63)) % 0.45/0.65 (define @t65 () (tptp.finite @t2)) % 0.45/0.65 (define @t66 () (not @t53)) % 0.45/0.65 (define @t67 () (tptp.powerset @t3)) % 0.45/0.65 (define @t68 () (tptp.element @t2 @t67)) % 0.45/0.65 (define @t69 () (tptp.cartesian_product2 @t3 @t2)) % 0.45/0.65 (define @t70 () (@list @t3 @t2)) % 0.45/0.65 (define @t71 () (and @t40 @t38 @t37)) % 0.45/0.65 (define @t72 () (tptp.one_sorted_str @t3)) % 0.45/0.65 (define @t73 () (tptp.net_str_of @t3 @t2 @t43 @t10)) % 0.45/0.65 (define @t74 () (tptp.relation_of2 @t10 @t2 @t5)) % 0.45/0.65 (define @t75 () (tptp.quasi_total @t10 @t2 @t5)) % 0.45/0.65 (define @t76 () (tptp.function @t10)) % 0.45/0.65 (define @t77 () (tptp.relation_of2 @t43 @t2 @t2)) % 0.45/0.65 (define @t78 () (and @t72 @t77 @t76 @t75 @t74)) % 0.45/0.65 (define @t79 () (@list @t3 @t2 @t43 @t10)) % 0.45/0.65 (define @t80 () (tptp.strict_net_str @t73 @t3)) % 0.45/0.65 (define @t81 () (tptp.rel_str @t3)) % 0.45/0.65 (define @t82 () (and @t40 @t72)) % 0.45/0.65 (define @t83 () (tptp.element @t43 (tptp.powerset @t69))) % 0.45/0.65 (define @t84 () (tptp.relation @t3)) % 0.45/0.65 (define @t85 () (and @t64 @t84)) % 0.45/0.65 (define @t86 () (tptp.relation_rng @t3)) % 0.45/0.65 (define @t87 () (tptp.empty @t86)) % 0.45/0.65 (define @t88 () (tptp.the_mapping @t3 @t2)) % 0.45/0.65 (define @t89 () (tptp.strict_net_str @t2 @t3)) % 0.45/0.65 (define @t90 () (and @t72 @t32)) % 0.45/0.65 (define @t91 () (tptp.relation_of2 @t43 @t3 @t2)) % 0.45/0.65 (define @t92 () (tptp.relation_of2_as_subset @t43 @t3 @t2)) % 0.45/0.65 (define @t93 () (tptp.netstr_restr_to_element @t3 @t2 @t43)) % 0.45/0.65 (define @t94 () (tptp.strict_net_str @t93 @t3)) % 0.45/0.65 (define @t95 () (tptp.element @t43 @t12)) % 0.45/0.65 (define @t96 () (tptp.directed_relstr @t43)) % 0.45/0.65 (define @t97 () (tptp.transitive_relstr @t43)) % 0.45/0.65 (define @t98 () (not (tptp.empty_carrier @t43))) % 0.45/0.65 (define @t99 () (tptp.subnet @t43 @t3 @t2)) % 0.45/0.65 (define @t100 () (@list @t43)) % 0.45/0.65 (define @t101 () (and @t40 @t72 @t36 @t34 @t33 @t32)) % 0.45/0.65 (define @t102 () (tptp.topstr_closure @t3 @t2)) % 0.45/0.65 (define @t103 () (not (tptp.empty_carrier @t93))) % 0.45/0.65 (define @t104 () (and @t40 @t72 @t36 @t34 @t33 @t32 @t95)) % 0.45/0.65 (define @t105 () (tptp.quasi_total @t88 @t12 @t5)) % 0.45/0.65 (define @t106 () (tptp.function @t88)) % 0.45/0.65 (define @t107 () (and @t40 @t72 @t36 @t32)) % 0.45/0.65 (define @t108 () (tptp.relation_rng_as_subset @t3 @t2 @t43)) % 0.45/0.65 (define @t109 () (tptp.subnetstr_of_element @t3 @t2 @t43)) % 0.45/0.65 (define @t110 () (@var "M" $$unsorted)) % 0.45/0.65 (define @t111 () (tptp.subnetstr_of_element @t3 @t2 @t110)) % 0.45/0.65 (define @t112 () (@var "L" $$unsorted)) % 0.45/0.65 (define @t113 () (= @t112 (tptp.relation_rng_as_subset (tptp.the_carrier @t111) @t5 (tptp.the_mapping @t3 @t111)))) % 0.45/0.65 (define @t114 () (= @t8 @t110)) % 0.45/0.65 (define @t115 () (= @t10 (tptp.topstr_closure @t3 @t112))) % 0.45/0.65 (define @t116 () (tptp.element @t110 @t12)) % 0.45/0.65 (define @t117 () (and @t116 @t115 @t114 @t113)) % 0.45/0.65 (define @t118 () (@list @t110)) % 0.45/0.65 (define @t119 () (exists @t118 @t117)) % 0.45/0.65 (define @t120 () (tptp.netstr_induced_subset @t112 @t3 @t2)) % 0.45/0.65 (define @t121 () (and @t120 @t119)) % 0.45/0.65 (define @t122 () (@list @t112)) % 0.45/0.65 (define @t123 () (exists @t122 @t121)) % 0.45/0.65 (define @t124 () (= @t6 @t8)) % 0.45/0.65 (define @t125 () (tptp.in @t6 @t12)) % 0.45/0.65 (define @t126 () (and @t125 @t124 @t123)) % 0.45/0.65 (define @t127 () (exists @t19 @t126)) % 0.45/0.65 (define @t128 () (= @t24 @t127)) % 0.45/0.65 (define @t129 () (forall @t26 @t128)) % 0.45/0.65 (define @t130 () (exists @t28 @t129)) % 0.45/0.65 (define @t131 () (= @t8 @t6)) % 0.45/0.65 (define @t132 () (@var "K" $$unsorted)) % 0.45/0.65 (define @t133 () (tptp.subnetstr_of_element @t3 @t2 @t132)) % 0.45/0.65 (define @t134 () (@var "J" $$unsorted)) % 0.45/0.65 (define @t135 () (= @t134 (tptp.relation_rng_as_subset (tptp.the_carrier @t133) @t5 (tptp.the_mapping @t3 @t133)))) % 0.45/0.65 (define @t136 () (= @t6 @t132)) % 0.45/0.65 (define @t137 () (= @t10 (tptp.topstr_closure @t3 @t134))) % 0.45/0.65 (define @t138 () (tptp.element @t132 @t12)) % 0.45/0.65 (define @t139 () (and @t138 @t137 @t136 @t135)) % 0.45/0.65 (define @t140 () (@list @t132)) % 0.45/0.65 (define @t141 () (exists @t140 @t139)) % 0.45/0.65 (define @t142 () (tptp.netstr_induced_subset @t134 @t3 @t2)) % 0.45/0.65 (define @t143 () (and @t142 @t141)) % 0.45/0.65 (define @t144 () (@list @t134)) % 0.45/0.65 (define @t145 () (exists @t144 @t143)) % 0.45/0.65 (define @t146 () (= @t23 @t6)) % 0.45/0.65 (define @t147 () (@var "I" $$unsorted)) % 0.45/0.65 (define @t148 () (tptp.subnetstr_of_element @t3 @t2 @t147)) % 0.45/0.65 (define @t149 () (= @t1 (tptp.relation_rng_as_subset (tptp.the_carrier @t148) @t5 (tptp.the_mapping @t3 @t148)))) % 0.45/0.65 (define @t150 () (= @t8 @t147)) % 0.45/0.65 (define @t151 () (= @t10 (tptp.topstr_closure @t3 @t1))) % 0.45/0.65 (define @t152 () (tptp.element @t147 @t12)) % 0.45/0.65 (define @t153 () (and @t152 @t151 @t150 @t149)) % 0.45/0.65 (define @t154 () (@list @t147)) % 0.45/0.65 (define @t155 () (exists @t154 @t153)) % 0.45/0.65 (define @t156 () (tptp.netstr_induced_subset @t1 @t3 @t2)) % 0.45/0.65 (define @t157 () (and @t156 @t155)) % 0.45/0.65 (define @t158 () (exists @t15 @t157)) % 0.45/0.65 (define @t159 () (= @t23 @t8)) % 0.45/0.65 (define @t160 () (and @t159 @t158 @t146 @t145)) % 0.45/0.65 (define @t161 () (=> @t160 @t131)) % 0.45/0.65 (define @t162 () (@list @t23 @t8 @t6)) % 0.45/0.65 (define @t163 () (forall @t162 @t161)) % 0.45/0.65 (define @t164 () (=> @t163 @t130)) % 0.45/0.65 (define @t165 () (forall @t30 @t164)) % 0.45/0.65 (define @t166 () (=> @t41 @t165)) % 0.45/0.65 (define @t167 () (forall @t44 @t166)) % 0.45/0.65 (define @t168 () (@var "BOUND_VARIABLE_7965" $$unsorted)) % 0.45/0.65 (define @t169 () (tptp.subnetstr_of_element @t3 @t2 @t8)) % 0.45/0.65 (define @t170 () (tptp.relation_rng_as_subset (tptp.the_carrier @t169) @t5 (tptp.the_mapping @t3 @t169))) % 0.45/0.65 (define @t171 () (tptp.topstr_closure @t3 @t170)) % 0.45/0.65 (define @t172 () (tptp.netstr_induced_subset @t170 @t3 @t2)) % 0.45/0.65 (define @t173 () (tptp.element @t8 @t12)) % 0.45/0.65 (define @t174 () (and @t21 @t173 @t172 (= @t168 @t171))) % 0.45/0.65 (define @t175 () (= @t24 @t174)) % 0.45/0.65 (define @t176 () (forall @t26 @t175)) % 0.45/0.65 (define @t177 () (not @t176)) % 0.45/0.65 (define @t178 () (forall @t28 @t177)) % 0.45/0.65 (define @t179 () (not @t178)) % 0.45/0.65 (define @t180 () (not @t32)) % 0.45/0.65 (define @t181 () (not @t33)) % 0.45/0.65 (define @t182 () (not @t34)) % 0.45/0.65 (define @t183 () (not @t37)) % 0.45/0.65 (define @t184 () (not @t38)) % 0.45/0.65 (define @t185 () (or @t39 @t184 @t183 @t35 @t182 @t181 @t180 @t179)) % 0.45/0.65 (define @t186 () (@list @t3 @t2 @t168)) % 0.45/0.65 (define @t187 () (forall @t186 @t185)) % 0.45/0.65 (define @t188 () (@list @t168)) % 0.45/0.65 (define @t189 () (forall @t188 @t185)) % 0.45/0.65 (define @t190 () (forall @t188 @t179)) % 0.45/0.65 (define @t191 () (@list @t10)) % 0.45/0.65 (define @t192 () (or @t39 @t184 @t183 @t35 @t182 @t181 @t180 @t190)) % 0.45/0.65 (define @t193 () (= @t10 @t171)) % 0.45/0.65 (define @t194 () (and @t21 @t173 @t172 @t193)) % 0.45/0.65 (define @t195 () (forall @t26 (= @t24 @t194))) % 0.45/0.65 (define @t196 () (not (forall @t28 (not @t195)))) % 0.45/0.65 (define @t197 () (forall @t30 @t196)) % 0.45/0.65 (define @t198 () (or @t39 @t184 @t183 @t35 @t182 @t181 @t180 @t197)) % 0.45/0.65 (define @t199 () (forall @t70 @t198)) % 0.45/0.65 (define @t200 () (or @t39 @t184 @t183 @t35 @t182 @t181 @t180)) % 0.45/0.65 (define @t201 () (not @t36)) % 0.45/0.65 (define @t202 () (not @t40)) % 0.45/0.65 (define @t203 () (or @t202 @t184 @t183 @t201 @t182 @t181 @t180)) % 0.45/0.65 (define @t204 () (not @t41)) % 0.45/0.65 (define @t205 () (not @t193)) % 0.45/0.65 (define @t206 () (not @t205)) % 0.45/0.65 (define @t207 () (not @t172)) % 0.45/0.65 (define @t208 () (not @t207)) % 0.45/0.65 (define @t209 () (not @t173)) % 0.45/0.65 (define @t210 () (not @t209)) % 0.45/0.65 (define @t211 () (and @t210 @t208 @t206)) % 0.45/0.65 (define @t212 () (or @t207 @t205)) % 0.45/0.65 (define @t213 () (or @t209 @t207 @t205)) % 0.45/0.65 (define @t214 () (not @t213)) % 0.45/0.65 (define @t215 () (and @t21 @t214)) % 0.45/0.65 (define @t216 () (= @t24 @t215)) % 0.45/0.65 (define @t217 () (not (= @t170 @t170))) % 0.45/0.65 (define @t218 () (or @t207 @t205 @t217)) % 0.45/0.65 (define @t219 () (not (= @t6 @t170))) % 0.45/0.65 (define @t220 () (not @t11)) % 0.45/0.65 (define @t221 () (not @t17)) % 0.45/0.65 (define @t222 () (or @t219 @t221 @t220 @t219)) % 0.45/0.65 (define @t223 () (or @t221 @t220 @t219)) % 0.45/0.65 (define @t224 () (forall @t19 @t223)) % 0.45/0.65 (define @t225 () (or @t209 @t224)) % 0.45/0.65 (define @t226 () (or @t209 @t223)) % 0.45/0.65 (define @t227 () (or @t221 @t220 @t209 @t219)) % 0.45/0.65 (define @t228 () (or @t220 @t209 @t219)) % 0.45/0.65 (define @t229 () (not @t228)) % 0.45/0.65 (define @t230 () (and @t17 @t229)) % 0.45/0.65 (define @t231 () (forall @t19 (not @t230))) % 0.45/0.65 (define @t232 () (not @t231)) % 0.45/0.65 (define @t233 () (or @t209 @t219)) % 0.45/0.65 (define @t234 () (not (= @t8 @t8))) % 0.45/0.65 (define @t235 () (or @t209 @t234 @t219)) % 0.45/0.65 (define @t236 () (not @t7)) % 0.45/0.65 (define @t237 () (not @t9)) % 0.45/0.65 (define @t238 () (not @t13)) % 0.45/0.65 (define @t239 () (or @t237 @t238 @t237 @t236)) % 0.45/0.65 (define @t240 () (or @t238 @t237 @t236)) % 0.45/0.65 (define @t241 () (forall @t15 @t240)) % 0.45/0.65 (define @t242 () (or @t220 @t241)) % 0.45/0.65 (define @t243 () (or @t220 @t240)) % 0.45/0.65 (define @t244 () (or @t238 @t220 @t237 @t236)) % 0.45/0.65 (define @t245 () (forall @t15 (not @t14))) % 0.45/0.65 (define @t246 () (not @t245)) % 0.45/0.65 (define @t247 () (@var "BOUND_VARIABLE_8738" $$unsorted)) % 0.45/0.65 (define @t248 () (= @t171 @t247)) % 0.45/0.65 (define @t249 () (and @t21 @t173 @t172 @t248)) % 0.45/0.65 (define @t250 () (and @t173 @t172 @t248 @t21)) % 0.45/0.65 (define @t251 () (= @t24 @t250)) % 0.45/0.65 (define @t252 () (forall @t26 @t251)) % 0.45/0.65 (define @t253 () (not @t252)) % 0.45/0.65 (define @t254 () (forall @t28 @t253)) % 0.45/0.65 (define @t255 () (not @t254)) % 0.45/0.65 (define @t256 () (or @t39 @t184 @t183 @t35 @t182 @t181 @t180 @t255)) % 0.45/0.65 (define @t257 () (@list @t3 @t2 @t247)) % 0.45/0.65 (define @t258 () (forall @t257 @t256)) % 0.45/0.65 (define @t259 () (forall @t257 (or @t39 @t184 @t183 @t35 @t182 @t181 @t180 (not (forall @t28 (not (forall @t26 (= @t24 @t249)))))))) % 0.45/0.65 (define @t260 () (@var "BOUND_VARIABLE_9311" $$unsorted)) % 0.45/0.65 (define @t261 () (@var "BOUND_VARIABLE_9310" $$unsorted)) % 0.45/0.65 (define @t262 () (@var "BOUND_VARIABLE_9308" $$unsorted)) % 0.45/0.65 (define @t263 () (@var "BOUND_VARIABLE_9307" $$unsorted)) % 0.45/0.65 (define @t264 () (tptp.subnetstr_of_element @t263 @t262 @t261)) % 0.45/0.65 (define @t265 () (tptp.relation_rng_as_subset (tptp.the_carrier @t264) (tptp.the_carrier @t263) (tptp.the_mapping @t263 @t264))) % 0.45/0.65 (define @t266 () (tptp.the_carrier @t262)) % 0.45/0.65 (define @t267 () (@var "BOUND_VARIABLE_9309" $$unsorted)) % 0.45/0.65 (define @t268 () (@list @t263 @t262 @t267 @t261 @t260)) % 0.45/0.65 (define @t269 () (forall @t186 (or @t39 @t184 @t183 @t35 @t182 @t181 @t180 (not (forall @t28 (not (forall @t26 (= @t24 (and @t21 @t173 @t172 (= @t171 @t168)))))))))) % 0.45/0.65 (define @t270 () (@list true)) % 0.45/0.65 (define @t271 () (and @t173 @t172 (= @t247 @t171) @t21)) % 0.45/0.65 (define @t272 () (= @t24 @t271)) % 0.45/0.65 (define @t273 () (forall @t26 @t272)) % 0.45/0.65 (define @t274 () (not @t273)) % 0.45/0.65 (define @t275 () (forall @t28 @t274)) % 0.45/0.65 (define @t276 () (not @t275)) % 0.45/0.65 (define @t277 () (or @t39 @t184 @t183 @t35 @t182 @t181 @t180 @t276)) % 0.45/0.65 (define @t278 () (forall @t257 @t277)) % 0.45/0.65 (define @t279 () (@list @t247)) % 0.45/0.65 (define @t280 () (forall @t279 @t277)) % 0.45/0.65 (define @t281 () (forall @t279 @t276)) % 0.45/0.65 (define @t282 () (or @t39 @t184 @t183 @t35 @t182 @t181 @t180 @t281)) % 0.45/0.65 (define @t283 () (forall @t26 (= @t24 (and @t173 @t172 @t193 @t21)))) % 0.45/0.65 (define @t284 () (not (forall @t28 (not @t283)))) % 0.45/0.65 (define @t285 () (forall @t30 @t284)) % 0.45/0.65 (define @t286 () (or @t39 @t184 @t183 @t35 @t182 @t181 @t180 @t285)) % 0.45/0.65 (define @t287 () (forall @t70 @t286)) % 0.45/0.65 (define @t288 () (not @t21)) % 0.45/0.65 (define @t289 () (not @t288)) % 0.45/0.65 (define @t290 () (and @t210 @t208 @t206 @t289)) % 0.45/0.65 (define @t291 () (= @t24 (not (or @t209 @t207 @t205 @t288)))) % 0.45/0.65 (define @t292 () (or @t288 @t234)) % 0.45/0.65 (define @t293 () (not @t131)) % 0.45/0.65 (define @t294 () (not @t125)) % 0.45/0.65 (define @t295 () (or @t293 @t294 @t293)) % 0.45/0.65 (define @t296 () (or @t294 @t293)) % 0.45/0.65 (define @t297 () (forall @t19 @t296)) % 0.45/0.65 (define @t298 () (or @t209 @t207 @t205 @t297)) % 0.45/0.65 (define @t299 () (or @t209 @t207 @t205 @t296)) % 0.45/0.65 (define @t300 () (or @t294 @t293 @t209 @t207 @t205)) % 0.45/0.65 (define @t301 () (not @t214)) % 0.45/0.65 (define @t302 () (or @t294 @t293 @t301)) % 0.45/0.65 (define @t303 () (and @t125 @t131 @t214)) % 0.45/0.65 (define @t304 () (forall @t19 (not @t303))) % 0.45/0.65 (define @t305 () (not @t304)) % 0.45/0.65 (define @t306 () (not (= @t112 @t170))) % 0.45/0.65 (define @t307 () (not @t115)) % 0.45/0.65 (define @t308 () (not @t120)) % 0.45/0.65 (define @t309 () (or @t306 @t308 @t307 @t306)) % 0.45/0.65 (define @t310 () (or @t308 @t307 @t306)) % 0.45/0.65 (define @t311 () (forall @t122 @t310)) % 0.45/0.65 (define @t312 () (or @t209 @t311)) % 0.45/0.65 (define @t313 () (or @t209 @t310)) % 0.45/0.65 (define @t314 () (or @t308 @t307 @t209 @t306)) % 0.45/0.65 (define @t315 () (or @t307 @t209 @t306)) % 0.45/0.65 (define @t316 () (not @t315)) % 0.45/0.65 (define @t317 () (and @t120 @t316)) % 0.45/0.65 (define @t318 () (forall @t122 (not @t317))) % 0.45/0.65 (define @t319 () (not @t318)) % 0.45/0.65 (define @t320 () (or @t209 @t306)) % 0.45/0.65 (define @t321 () (or @t209 @t234 @t306)) % 0.45/0.65 (define @t322 () (not @t113)) % 0.45/0.65 (define @t323 () (not @t114)) % 0.45/0.65 (define @t324 () (not @t116)) % 0.45/0.65 (define @t325 () (or @t323 @t324 @t323 @t322)) % 0.45/0.65 (define @t326 () (or @t324 @t323 @t322)) % 0.45/0.65 (define @t327 () (forall @t118 @t326)) % 0.45/0.65 (define @t328 () (or @t307 @t327)) % 0.45/0.65 (define @t329 () (or @t307 @t326)) % 0.45/0.65 (define @t330 () (or @t324 @t307 @t323 @t322)) % 0.45/0.65 (define @t331 () (forall @t118 (not @t117))) % 0.45/0.65 (define @t332 () (not @t331)) % 0.45/0.65 (define @t333 () (@list @t8 @t6)) % 0.45/0.65 (define @t334 () (tptp.subnetstr_of_element @t3 @t2 @t6)) % 0.45/0.65 (define @t335 () (tptp.relation_rng_as_subset (tptp.the_carrier @t334) @t5 (tptp.the_mapping @t3 @t334))) % 0.45/0.65 (define @t336 () (not (= @t10 (tptp.topstr_closure @t3 @t335)))) % 0.45/0.65 (define @t337 () (not (tptp.netstr_induced_subset @t335 @t3 @t2))) % 0.45/0.65 (define @t338 () (not (tptp.element @t6 @t12))) % 0.45/0.65 (define @t339 () (or @t209 @t207 @t205 @t293 @t338 @t337 @t336 @t131)) % 0.45/0.65 (define @t340 () (or @t234 @t209 @t207 @t205 @t293 @t338 @t337 @t336 @t131)) % 0.45/0.65 (define @t341 () (not @t146)) % 0.45/0.65 (define @t342 () (not @t159)) % 0.45/0.65 (define @t343 () (or @t342 @t342 @t209 @t207 @t205 @t341 @t338 @t337 @t336 @t131)) % 0.45/0.65 (define @t344 () (or @t342 @t209 @t207 @t205 @t341 @t338 @t337 @t336 @t131)) % 0.45/0.65 (define @t345 () (forall @t28 @t344)) % 0.45/0.65 (define @t346 () (forall @t333 @t345)) % 0.45/0.65 (define @t347 () (forall (@list @t8 @t6 @t23) @t344)) % 0.45/0.65 (define @t348 () (or @t342 @t209 @t207 @t205 @t341 @t338 @t337 @t336)) % 0.45/0.65 (define @t349 () (or @t338 @t337 @t336)) % 0.45/0.65 (define @t350 () (not @t349)) % 0.45/0.65 (define @t351 () (not @t350)) % 0.45/0.65 (define @t352 () (or @t342 @t301 @t341 @t351)) % 0.45/0.65 (define @t353 () (and @t159 @t214 @t146 @t350)) % 0.45/0.65 (define @t354 () (or @t337 @t336)) % 0.45/0.65 (define @t355 () (not (= @t335 @t335))) % 0.45/0.65 (define @t356 () (or @t337 @t336 @t355)) % 0.45/0.65 (define @t357 () (not (= @t134 @t335))) % 0.45/0.65 (define @t358 () (not @t137)) % 0.45/0.65 (define @t359 () (not @t142)) % 0.45/0.65 (define @t360 () (or @t357 @t359 @t358 @t357)) % 0.45/0.65 (define @t361 () (or @t359 @t358 @t357)) % 0.45/0.65 (define @t362 () (forall @t144 @t361)) % 0.45/0.65 (define @t363 () (or @t338 @t362)) % 0.45/0.65 (define @t364 () (or @t338 @t361)) % 0.45/0.65 (define @t365 () (or @t359 @t358 @t338 @t357)) % 0.45/0.65 (define @t366 () (or @t358 @t338 @t357)) % 0.45/0.65 (define @t367 () (not @t366)) % 0.45/0.65 (define @t368 () (and @t142 @t367)) % 0.45/0.65 (define @t369 () (forall @t144 (not @t368))) % 0.45/0.65 (define @t370 () (not @t369)) % 0.45/0.65 (define @t371 () (or @t338 @t357)) % 0.45/0.65 (define @t372 () (not (= @t6 @t6))) % 0.45/0.65 (define @t373 () (or @t338 @t372 @t357)) % 0.45/0.65 (define @t374 () (not @t135)) % 0.45/0.65 (define @t375 () (not @t136)) % 0.45/0.65 (define @t376 () (not @t138)) % 0.45/0.65 (define @t377 () (or @t375 @t376 @t375 @t374)) % 0.45/0.65 (define @t378 () (or @t376 @t375 @t374)) % 0.45/0.65 (define @t379 () (forall @t140 @t378)) % 0.45/0.65 (define @t380 () (or @t358 @t379)) % 0.45/0.65 (define @t381 () (or @t358 @t378)) % 0.45/0.65 (define @t382 () (or @t376 @t358 @t375 @t374)) % 0.45/0.65 (define @t383 () (forall @t140 (not @t139))) % 0.45/0.65 (define @t384 () (not @t383)) % 0.45/0.65 (define @t385 () (not (= @t1 @t170))) % 0.45/0.65 (define @t386 () (not @t151)) % 0.45/0.65 (define @t387 () (not @t156)) % 0.45/0.65 (define @t388 () (or @t385 @t387 @t386 @t385)) % 0.45/0.65 (define @t389 () (or @t387 @t386 @t385)) % 0.45/0.65 (define @t390 () (forall @t15 @t389)) % 0.45/0.65 (define @t391 () (or @t209 @t390)) % 0.45/0.65 (define @t392 () (or @t209 @t389)) % 0.45/0.65 (define @t393 () (or @t387 @t386 @t209 @t385)) % 0.45/0.65 (define @t394 () (or @t386 @t209 @t385)) % 0.45/0.65 (define @t395 () (not @t394)) % 0.45/0.65 (define @t396 () (and @t156 @t395)) % 0.45/0.65 (define @t397 () (forall @t15 (not @t396))) % 0.45/0.65 (define @t398 () (not @t397)) % 0.45/0.65 (define @t399 () (or @t209 @t385)) % 0.45/0.65 (define @t400 () (or @t209 @t234 @t385)) % 0.45/0.65 (define @t401 () (not @t149)) % 0.45/0.65 (define @t402 () (not @t150)) % 0.45/0.65 (define @t403 () (not @t152)) % 0.45/0.65 (define @t404 () (or @t402 @t403 @t402 @t401)) % 0.45/0.65 (define @t405 () (or @t403 @t402 @t401)) % 0.45/0.65 (define @t406 () (forall @t154 @t405)) % 0.45/0.65 (define @t407 () (or @t386 @t406)) % 0.45/0.65 (define @t408 () (or @t386 @t405)) % 0.45/0.65 (define @t409 () (or @t403 @t386 @t402 @t401)) % 0.45/0.65 (define @t410 () (forall @t154 (not @t153))) % 0.45/0.65 (define @t411 () (not @t410)) % 0.45/0.65 (assume @p1 @t46) % 0.45/0.65 (assume @p2 (forall @t57 (=> @t37 (exists @t56 (and @t55 @t53 @t52 @t51 @t50 @t49 @t48 @t47))))) % 0.45/0.65 (assume @p3 (forall @t57 (=> @t61 (exists @t56 (and @t55 @t53 @t60 @t59 @t52 @t51 @t50 @t49 @t48 @t47 @t58))))) % 0.45/0.65 (assume @p4 (exists @t57 (and @t64 @t62))) % 0.45/0.65 (assume @p5 (forall @t57 (=> @t64 (exists @t56 (and @t68 @t66 @t65))))) % 0.45/0.65 (assume @p6 (forall @t57 (=> @t62 (forall @t56 (=> @t68 @t65))))) % 0.45/0.65 (assume @p7 (forall @t70 (=> (and @t62 @t65) (tptp.finite @t69)))) % 0.45/0.65 (assume @p8 (forall @t57 (=> @t61 (exists @t56 (and @t55 @t60))))) % 0.45/0.65 (assume @p9 (forall @t57 (=> @t61 (exists @t56 (and @t55 @t60 @t59))))) % 0.45/0.65 (assume @p10 (forall @t57 (=> @t71 (exists @t56 (and @t55 @t66 @t60 @t59))))) % 0.45/0.65 (assume @p11 (forall @t57 (=> @t61 (forall @t56 (=> @t55 (=> @t58 @t47)))))) % 0.45/0.65 (assume @p12 (forall @t57 (=> @t61 (forall @t56 (=> @t55 (=> (and @t59 @t47) (and @t47 @t58))))))) % 0.45/0.65 (assume @p13 (forall @t57 (=> @t61 (forall @t56 (=> @t55 (=> (and @t60 @t58) (and @t53 @t60 @t59 @t52 @t51 @t50 @t49 @t48 @t47 @t58))))))) % 0.45/0.65 (assume @p14 (forall @t57 (exists @t56 (and (tptp.element @t2 (tptp.powerset @t67)) @t66 @t65)))) % 0.45/0.65 (assume @p15 (forall @t57 (=> @t72 (exists @t56 (and (tptp.element @t2 (tptp.powerset @t54)) @t66 @t65))))) % 0.45/0.65 (assume @p16 (forall @t79 (=> @t78 (forall (@list @t23 @t8 @t6 @t1) (=> (= @t73 (tptp.net_str_of @t23 @t8 @t6 @t1)) (and (= @t3 @t23) (= @t2 @t8) (= @t43 @t6) (= @t10 @t1))))))) % 0.45/0.65 (assume @p17 (forall @t79 (=> @t78 (and @t80 (tptp.net_str @t73 @t3))))) % 0.45/0.65 (assume @p18 true) % 0.45/0.65 (assume @p19 (forall @t57 (=> @t81 (tptp.relation_of2_as_subset (tptp.the_InternalRel @t3) @t5 @t5)))) % 0.45/0.65 (assume @p20 (forall @t57 (=> @t64 (exists @t56 (and @t68 @t66))))) % 0.45/0.65 (assume @p21 (forall @t70 (=> (and @t64 @t66) (not (tptp.empty @t69))))) % 0.45/0.65 (assume @p22 (forall @t57 (exists @t56 (and @t68 @t53)))) % 0.45/0.65 (assume @p23 (forall @t57 (=> @t63 @t62))) % 0.45/0.65 (assume @p24 (forall @t57 (=> @t82 (exists @t56 (and @t55 @t66))))) % 0.45/0.65 (assume @p25 (forall @t57 (=> @t61 (exists @t56 (and @t55 @t59))))) % 0.45/0.65 (assume @p26 (forall @t57 (=> @t71 (exists @t56 (and @t55 @t66 @t59))))) % 0.45/0.65 (assume @p27 (forall @t57 (=> @t61 (forall @t56 (=> @t55 (=> @t53 (and @t60 @t59))))))) % 0.45/0.65 (assume @p28 (forall @t57 (=> @t37 (forall @t56 (=> @t55 (=> @t53 @t47)))))) % 0.45/0.65 (assume @p29 (forall @t57 (=> @t61 (forall @t56 (=> @t55 (=> @t53 @t58)))))) % 0.45/0.65 (assume @p30 (forall @t44 (=> @t83 (tptp.relation @t43)))) % 0.45/0.65 (assume @p31 (forall @t79 (=> (and @t72 @t66 @t77 @t76 @t75 @t74) (and (not (tptp.empty_carrier @t73)) @t80)))) % 0.45/0.65 (assume @p32 (exists @t57 (and @t63 @t84))) % 0.45/0.65 (assume @p33 (forall @t57 (=> @t63 @t84))) % 0.45/0.65 (assume @p34 (exists @t57 @t85)) % 0.45/0.65 (assume @p35 (forall @t57 (=> @t85 (not @t87)))) % 0.45/0.65 (assume @p36 (forall @t57 (=> @t63 (and @t87 (tptp.relation @t86))))) % 0.45/0.65 (assume @p37 (forall @t70 (=> @t90 (=> @t89 (= @t2 (tptp.net_str_of @t3 @t12 (tptp.the_InternalRel @t2) @t88)))))) % 0.45/0.65 (assume @p38 (forall @t44 (= @t92 @t91))) % 0.45/0.65 (assume @p39 (forall @t44 (=> (and @t40 @t72 @t36 @t32 @t95) (and @t94 (tptp.net_str @t93 @t3))))) % 0.45/0.65 (assume @p40 (forall @t57 (=> @t81 @t72))) % 0.45/0.65 (assume @p41 (forall @t44 (=> @t92 @t83))) % 0.45/0.65 (assume @p42 (forall @t70 (=> @t101 (forall @t100 (=> @t99 (and @t98 @t97 @t96 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@p454)) % 0.45/0.65 (step @p471 :rule nary_cong :premises (@p470 @p453) :args ((or (not @t353) @t131))) % 0.45/0.65 (step @p472 :rule trans :premises (@p471 @p452)) % 0.45/0.65 (step @p473 :rule bool-impl-elim :args (@t353 @t131)) % 0.45/0.65 (step @p474 :rule trans :premises (@p473 @p472)) % 0.45/0.65 (step @p475 :rule cong :premises (@p474) :args ((forall @t162 (=> @t353 @t131)))) % 0.45/0.65 (step @p476 :rule trans :premises (@p475 @p451)) % 0.45/0.65 (step @p477 :rule aci_norm :args ((= (or @t338 @t354) @t349))) % 0.45/0.65 (step @p478 :rule aci_norm :args ((= (or @t337 @t336 false) @t354))) % 0.45/0.65 (step @p479 :rule eq-refl :args (@t335)) % 0.45/0.65 (step @p480 :rule cong :premises (@p479) :args (@t355)) % 0.45/0.65 (step @p481 :rule trans :premises (@p480 @p155)) % 0.45/0.65 (step @p482 :rule nary_cong :premises (@p435 @p434 @p481) :args (@t356)) % 0.45/0.65 (step @p483 :rule trans :premises (@p482 @p478)) % 0.45/0.65 (step @p484 :rule quant-var-elim-eq :args ((= (forall @t144 @t360) @t356))) % 0.45/0.65 (step @p485 :rule aci_norm :args ((= @t361 @t360))) % 0.45/0.65 (step @p486 :rule cong :premises (@p485) :args (@t362)) % 0.45/0.65 (step @p487 :rule trans :premises (@p486 @p484)) % 0.45/0.65 (step @p488 :rule trans :premises (@p487 @p483)) % 0.45/0.65 (step @p489 :rule nary_cong :premises (@p436 @p488) :args (@t363)) % 0.45/0.65 (step @p490 :rule trans :premises (@p489 @p477)) % 0.45/0.65 (step @p491 :rule quant-miniscope-or :args ((= (forall @t144 @t364) @t363))) % 0.45/0.65 (step @p492 :rule aci_norm :args ((= @t365 @t364))) % 0.45/0.65 (step @p493 :rule cong :premises (@p492) :args ((forall @t144 @t365))) % 0.45/0.65 (step @p494 :rule trans :premises (@p493 @p491)) % 0.45/0.65 (step @p495 :rule trans :premises (@p494 @p490)) % 0.45/0.65 (step @p496 :rule aci_norm :args ((= (or @t359 @t366) @t365))) % 0.45/0.65 (step @p497 :rule bool-double-not-elim :args (@t366)) % 0.45/0.65 (step @p498 :rule refl :args (@t359)) % 0.45/0.65 (step @p499 :rule nary_cong :premises (@p498 @p497) :args ((or @t359 (not @t367)))) % 0.45/0.65 (step @p500 :rule bool-and-de-morgan :args (@t142 @t367 true)) % 0.45/0.65 (step @p501 :rule trans :premises (@p500 @p499)) % 0.45/0.65 (step @p502 :rule trans :premises (@p501 @p496)) % 0.45/0.65 (step @p503 :rule cong :premises (@p502) :args (@t369)) % 0.45/0.65 (step @p504 :rule trans :premises (@p503 @p495)) % 0.45/0.65 (step @p505 :rule cong :premises (@p504) :args (@t370)) % 0.45/0.65 (step @p506 :rule exists-elim :args ((= (exists @t144 @t368) @t370))) % 0.45/0.65 (step @p507 :rule trans :premises (@p506 @p505)) % 0.45/0.65 (step @p508 :rule aci_norm :args ((= (or @t358 @t371) @t366))) % 0.45/0.65 (step @p509 :rule aci_norm :args ((= (or @t338 false @t357) @t371))) % 0.45/0.65 (step @p510 :rule refl :args (@t357)) % 0.45/0.65 (step @p511 :rule eq-refl :args (@t6)) % 0.45/0.65 (step @p512 :rule cong :premises (@p511) :args (@t372)) % 0.45/0.65 (step @p513 :rule trans :premises (@p512 @p155)) % 0.45/0.65 (step @p514 :rule nary_cong :premises (@p436 @p513 @p510) :args (@t373)) % 0.45/0.65 (step @p515 :rule trans :premises (@p514 @p509)) % 0.45/0.65 (step @p516 :rule quant-var-elim-eq :args ((= (forall @t140 (or (not (= @t132 @t6)) @t376 @t375 @t374)) @t373))) % 0.45/0.65 (step @p517 :rule refl :args (@t374)) % 0.45/0.65 (step @p518 :rule refl :args (@t375)) % 0.45/0.65 (step @p519 :rule refl :args (@t376)) % 0.45/0.65 (step @p520 :rule eq-symm :args (@t6 @t132)) % 0.45/0.65 (step @p521 :rule cong :premises (@p520) :args (@t375)) % 0.45/0.65 (step @p522 :rule nary_cong :premises (@p521 @p519 @p518 @p517) :args (@t377)) % 0.45/0.65 (step @p523 :rule aci_norm :args ((= @t378 @t377))) % 0.45/0.65 (step @p524 :rule trans :premises (@p523 @p522)) % 0.45/0.65 (step @p525 :rule cong :premises (@p524) :args (@t379)) % 0.45/0.65 (step @p526 :rule trans :premises (@p525 @p516)) % 0.45/0.65 (step @p527 :rule trans :premises (@p526 @p515)) % 0.45/0.65 (step @p528 :rule refl :args (@t358)) % 0.45/0.65 (step @p529 :rule nary_cong :premises (@p528 @p527) :args (@t380)) % 0.45/0.65 (step @p530 :rule trans :premises (@p529 @p508)) % 0.45/0.65 (step @p531 :rule quant-miniscope-or :args ((= (forall @t140 @t381) @t380))) % 0.45/0.65 (step @p532 :rule aci_norm :args ((= @t382 @t381))) % 0.45/0.65 (step @p533 :rule cong :premises (@p532) :args ((forall @t140 @t382))) % 0.45/0.65 (step @p534 :rule trans :premises (@p533 @p531)) % 0.45/0.65 (step @p535 :rule trans :premises (@p534 @p530)) % 0.45/0.65 (step @p536 :rule aci_norm :args ((= (or @t376 (or @t358 (or @t375 @t374))) @t382))) % 0.45/0.65 (step @p537 :rule bool-and-de-morgan :args (@t136 @t135 true)) % 0.45/0.65 (step @p538 :rule refl :args (@t358)) % 0.45/0.65 (step @p539 :rule nary_cong :premises (@p538 @p537) :args ((or @t358 (not (and @t136 @t135))))) % 0.45/0.65 (step @p540 :rule bool-and-de-morgan :args (@t137 @t136 (and @t135))) % 0.45/0.65 (step @p541 :rule trans :premises (@p540 @p539)) % 0.45/0.65 (step @p542 :rule nary_cong :premises (@p519 @p541) :args ((or @t376 (not (and @t137 @t136 @t135))))) % 0.45/0.65 (step @p543 :rule bool-and-de-morgan :args (@t138 @t137 (and @t136 @t135))) % 0.45/0.65 (step @p544 :rule trans :premises (@p543 @p542)) % 0.45/0.65 (step @p545 :rule trans :premises (@p544 @p536)) % 0.45/0.65 (step @p546 :rule cong :premises (@p545) :args (@t383)) % 0.45/0.65 (step @p547 :rule trans :premises (@p546 @p535)) % 0.45/0.65 (step @p548 :rule cong :premises (@p547) :args (@t384)) % 0.45/0.65 (step @p549 :rule exists-elim :args ((= @t141 @t384))) % 0.45/0.65 (step @p550 :rule trans :premises (@p549 @p548)) % 0.45/0.65 (step @p551 :rule refl :args (@t142)) % 0.45/0.65 (step @p552 :rule nary_cong :premises (@p551 @p550) :args (@t143)) % 0.45/0.65 (step @p553 :rule cong :premises (@p552) :args (@t145)) % 0.45/0.65 (step @p554 :rule trans :premises (@p553 @p507)) % 0.45/0.65 (step @p555 :rule refl :args (@t146)) % 0.45/0.65 (step @p556 :rule quant-var-elim-eq :args ((= (forall @t15 @t388) @t218))) % 0.45/0.65 (step @p557 :rule aci_norm :args ((= @t389 @t388))) % 0.45/0.65 (step @p558 :rule cong :premises (@p557) :args (@t390)) % 0.45/0.65 (step @p559 :rule trans :premises (@p558 @p556)) % 0.45/0.65 (step @p560 :rule trans :premises (@p559 @p162)) % 0.45/0.65 (step @p561 :rule nary_cong :premises (@p168 @p560) :args (@t391)) % 0.45/0.65 (step @p562 :rule trans :premises (@p561 @p153)) % 0.45/0.65 (step @p563 :rule quant-miniscope-or :args ((= (forall @t15 @t392) @t391))) % 0.45/0.65 (step @p564 :rule aci_norm :args ((= @t393 @t392))) % 0.45/0.65 (step @p565 :rule cong :premises (@p564) :args ((forall @t15 @t393))) % 0.45/0.65 (step @p566 :rule trans :premises (@p565 @p563)) % 0.45/0.65 (step @p567 :rule trans :premises (@p566 @p562)) % 0.45/0.65 (step @p568 :rule aci_norm :args ((= (or @t387 @t394) @t393))) % 0.45/0.65 (step @p569 :rule bool-double-not-elim :args (@t394)) % 0.45/0.65 (step @p570 :rule refl :args (@t387)) % 0.45/0.65 (step @p571 :rule nary_cong :premises (@p570 @p569) :args ((or @t387 (not @t395)))) % 0.45/0.65 (step @p572 :rule bool-and-de-morgan :args (@t156 @t395 true)) % 0.45/0.65 (step @p573 :rule trans :premises (@p572 @p571)) % 0.45/0.65 (step @p574 :rule trans :premises (@p573 @p568)) % 0.45/0.65 (step @p575 :rule cong :premises (@p574) :args (@t397)) % 0.45/0.65 (step @p576 :rule trans :premises (@p575 @p567)) % 0.45/0.65 (step @p577 :rule cong :premises (@p576) :args (@t398)) % 0.45/0.65 (step @p578 :rule exists-elim :args ((= (exists @t15 @t396) @t398))) % 0.45/0.65 (step @p579 :rule trans :premises (@p578 @p577)) % 0.45/0.65 (step @p580 :rule aci_norm :args ((= (or @t386 @t399) @t394))) % 0.45/0.65 (step @p581 :rule aci_norm :args ((= (or @t209 false @t385) @t399))) % 0.45/0.65 (step @p582 :rule refl :args (@t385)) % 0.45/0.65 (step @p583 :rule nary_cong :premises (@p168 @p193 @p582) :args (@t400)) % 0.45/0.65 (step @p584 :rule trans :premises (@p583 @p581)) % 0.45/0.65 (step @p585 :rule quant-var-elim-eq :args ((= (forall @t154 (or (not (= @t147 @t8)) @t403 @t402 @t401)) @t400))) % 0.45/0.65 (step @p586 :rule refl :args (@t401)) % 0.45/0.65 (step @p587 :rule refl :args (@t402)) % 0.45/0.65 (step @p588 :rule refl :args (@t403)) % 0.45/0.65 (step @p589 :rule eq-symm :args (@t8 @t147)) % 0.45/0.65 (step @p590 :rule cong :premises (@p589) :args (@t402)) % 0.45/0.65 (step @p591 :rule nary_cong :premises (@p590 @p588 @p587 @p586) :args (@t404)) % 0.45/0.65 (step @p592 :rule aci_norm :args ((= @t405 @t404))) % 0.45/0.65 (step @p593 :rule trans :premises (@p592 @p591)) % 0.45/0.65 (step @p594 :rule cong :premises (@p593) :args (@t406)) % 0.45/0.65 (step @p595 :rule trans :premises (@p594 @p585)) % 0.45/0.65 (step @p596 :rule trans :premises (@p595 @p584)) % 0.45/0.65 (step @p597 :rule refl :args (@t386)) % 0.45/0.65 (step @p598 :rule nary_cong :premises (@p597 @p596) :args (@t407)) % 0.45/0.65 (step @p599 :rule trans :premises (@p598 @p580)) % 0.45/0.65 (step @p600 :rule quant-miniscope-or :args ((= (forall @t154 @t408) @t407))) % 0.45/0.65 (step @p601 :rule aci_norm :args ((= @t409 @t408))) % 0.45/0.65 (step @p602 :rule cong :premises (@p601) :args ((forall @t154 @t409))) % 0.45/0.65 (step @p603 :rule trans :premises (@p602 @p600)) % 0.45/0.65 (step @p604 :rule trans :premises (@p603 @p599)) % 0.45/0.65 (step @p605 :rule aci_norm :args ((= (or @t403 (or @t386 (or @t402 @t401))) @t409))) % 0.45/0.65 (step @p606 :rule bool-and-de-morgan :args (@t150 @t149 true)) % 0.45/0.65 (step @p607 :rule refl :args (@t386)) % 0.45/0.65 (step @p608 :rule nary_cong :premises (@p607 @p606) :args ((or @t386 (not (and @t150 @t149))))) % 0.45/0.65 (step @p609 :rule bool-and-de-morgan :args (@t151 @t150 (and @t149))) % 0.45/0.65 (step @p610 :rule trans :premises (@p609 @p608)) % 0.45/0.65 (step @p611 :rule nary_cong :premises (@p588 @p610) :args ((or @t403 (not (and @t151 @t150 @t149))))) % 0.45/0.65 (step @p612 :rule bool-and-de-morgan :args (@t152 @t151 (and @t150 @t149))) % 0.45/0.65 (step @p613 :rule trans :premises (@p612 @p611)) % 0.45/0.65 (step @p614 :rule trans :premises (@p613 @p605)) % 0.45/0.65 (step @p615 :rule cong :premises (@p614) :args (@t410)) % 0.45/0.65 (step @p616 :rule trans :premises (@p615 @p604)) % 0.45/0.65 (step @p617 :rule cong :premises (@p616) :args (@t411)) % 0.45/0.65 (step @p618 :rule exists-elim :args ((= @t155 @t411))) % 0.45/0.65 (step @p619 :rule trans :premises (@p618 @p617)) % 0.45/0.65 (step @p620 :rule refl :args (@t156)) % 0.45/0.65 (step @p621 :rule nary_cong :premises (@p620 @p619) :args (@t157)) % 0.45/0.65 (step @p622 :rule cong :premises (@p621) :args (@t158)) % 0.45/0.65 (step @p623 :rule trans :premises (@p622 @p579)) % 0.45/0.65 (step @p624 :rule refl :args (@t159)) % 0.45/0.65 (step @p625 :rule nary_cong :premises (@p624 @p623 @p555 @p554) :args (@t160)) % 0.45/0.65 (step @p626 :rule cong :premises (@p625 @p433) :args (@t161)) % 0.45/0.65 (step @p627 :rule cong :premises (@p626) :args (@t163)) % 0.45/0.65 (step @p628 :rule trans :premises (@p627 @p476)) % 0.45/0.65 (step @p629 :rule cong :premises (@p628 @p427) :args (@t164)) % 0.45/0.65 (step @p630 :rule trans :premises (@p629 @p296)) % 0.45/0.65 (step @p631 :rule cong :premises (@p630) :args (@t165)) % 0.45/0.65 (step @p632 :rule cong :premises (@p242 @p631) :args (@t166)) % 0.45/0.65 (step @p633 :rule cong :premises (@p632) :args (@t167)) % 0.45/0.65 (step @p634 :rule trans :premises (@p633 @p295)) % 0.45/0.65 (step @p635 :rule eq_resolve :premises (@p62 @p634)) % 0.45/0.65 (step @p636 false :rule chain_m_resolution :premises (@p635 @p267) :args (false @t270 (@list @t258))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------