%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU400+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 : n016.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 08:51:38 AM UTC 2026 % Result : Theorem 0.37s 0.70s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU400+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:09:09 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.70 % SZS status Theorem % 0.37/0.70 % SZS output start Proof % 0.37/0.70 ( % 0.37/0.70 (declare-sort $$unsorted 0) % 0.37/0.70 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.function (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.netstr_restr_to_element (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.net_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.directed_relstr (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.netstr_induced_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.strict_net_str (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.top_str (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.boundary_set (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.subnet (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.nowhere_dense (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.subnetstr_of_element (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (define @t1 () (@var "L" $$unsorted)) % 0.37/0.70 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.70 (define @t3 () (@var "A" $$unsorted)) % 0.37/0.70 (define @t4 () (tptp.subnetstr_of_element @t3 @t2 @t1)) % 0.37/0.70 (define @t5 () (tptp.the_carrier @t3)) % 0.37/0.70 (define @t6 () (@var "K" $$unsorted)) % 0.37/0.70 (define @t7 () (= @t6 (tptp.relation_rng_as_subset (tptp.the_carrier @t4) @t5 (tptp.the_mapping @t3 @t4)))) % 0.37/0.70 (define @t8 () (@var "J" $$unsorted)) % 0.37/0.70 (define @t9 () (= @t8 @t1)) % 0.37/0.70 (define @t10 () (@var "G" $$unsorted)) % 0.37/0.70 (define @t11 () (= @t10 (tptp.topstr_closure @t3 @t6))) % 0.37/0.70 (define @t12 () (tptp.the_carrier @t2)) % 0.37/0.70 (define @t13 () (tptp.element @t1 @t12)) % 0.37/0.70 (define @t14 () (and @t13 @t11 @t9 @t7)) % 0.37/0.70 (define @t15 () (@list @t1)) % 0.37/0.70 (define @t16 () (exists @t15 @t14)) % 0.37/0.70 (define @t17 () (tptp.netstr_induced_subset @t6 @t3 @t2)) % 0.37/0.70 (define @t18 () (and @t17 @t16)) % 0.37/0.70 (define @t19 () (@list @t6)) % 0.37/0.70 (define @t20 () (exists @t19 @t18)) % 0.37/0.70 (define @t21 () (tptp.in @t8 @t12)) % 0.37/0.70 (define @t22 () (and @t21 @t20)) % 0.37/0.70 (define @t23 () (@var "I" $$unsorted)) % 0.37/0.70 (define @t24 () (tptp.in @t8 @t23)) % 0.37/0.70 (define @t25 () (= @t24 @t22)) % 0.37/0.70 (define @t26 () (@list @t8)) % 0.37/0.70 (define @t27 () (forall @t26 @t25)) % 0.37/0.70 (define @t28 () (@var "H" $$unsorted)) % 0.37/0.70 (define @t29 () (= @t28 @t23)) % 0.37/0.70 (define @t30 () (and @t29 @t27)) % 0.37/0.70 (define @t31 () (@list @t23)) % 0.37/0.70 (define @t32 () (exists @t31 @t30)) % 0.37/0.70 (define @t33 () (@var "C" $$unsorted)) % 0.37/0.70 (define @t34 () (tptp.in @t10 @t33)) % 0.37/0.70 (define @t35 () (@var "F" $$unsorted)) % 0.37/0.70 (define @t36 () (tptp.ordered_pair @t10 @t28)) % 0.37/0.70 (define @t37 () (and (= @t36 @t35) @t34 @t32)) % 0.37/0.70 (define @t38 () (@list @t10 @t28)) % 0.37/0.70 (define @t39 () (exists @t38 @t37)) % 0.37/0.70 (define @t40 () (@var "D" $$unsorted)) % 0.37/0.70 (define @t41 () (tptp.cartesian_product2 @t33 @t40)) % 0.37/0.70 (define @t42 () (tptp.in @t35 @t41)) % 0.37/0.70 (define @t43 () (and @t42 @t39)) % 0.37/0.70 (define @t44 () (@var "E" $$unsorted)) % 0.37/0.70 (define @t45 () (tptp.in @t35 @t44)) % 0.37/0.70 (define @t46 () (= @t45 @t43)) % 0.37/0.70 (define @t47 () (@list @t35)) % 0.37/0.70 (define @t48 () (forall @t47 @t46)) % 0.37/0.70 (define @t49 () (@list @t44)) % 0.37/0.70 (define @t50 () (exists @t49 @t48)) % 0.37/0.70 (define @t51 () (@list @t40)) % 0.37/0.70 (define @t52 () (forall @t51 @t50)) % 0.37/0.70 (define @t53 () (tptp.net_str @t2 @t3)) % 0.37/0.70 (define @t54 () (tptp.directed_relstr @t2)) % 0.37/0.70 (define @t55 () (tptp.transitive_relstr @t2)) % 0.37/0.70 (define @t56 () (tptp.empty_carrier @t2)) % 0.37/0.70 (define @t57 () (not @t56)) % 0.37/0.70 (define @t58 () (tptp.top_str @t3)) % 0.37/0.70 (define @t59 () (tptp.topological_space @t3)) % 0.37/0.70 (define @t60 () (tptp.empty_carrier @t3)) % 0.37/0.70 (define @t61 () (not @t60)) % 0.37/0.70 (define @t62 () (and @t61 @t59 @t58 @t57 @t55 @t54 @t53)) % 0.37/0.70 (define @t63 () (=> @t62 @t52)) % 0.37/0.70 (define @t64 () (@list @t3 @t2 @t33)) % 0.37/0.70 (define @t65 () (forall @t64 @t63)) % 0.37/0.70 (define @t66 () (not @t65)) % 0.37/0.70 (define @t67 () (tptp.boundary_set @t2 @t3)) % 0.37/0.70 (define @t68 () (tptp.v5_membered @t2)) % 0.37/0.70 (define @t69 () (tptp.v4_membered @t2)) % 0.37/0.70 (define @t70 () (tptp.v3_membered @t2)) % 0.37/0.70 (define @t71 () (tptp.v2_membered @t2)) % 0.37/0.70 (define @t72 () (tptp.v1_membered @t2)) % 0.37/0.70 (define @t73 () (tptp.empty @t2)) % 0.37/0.70 (define @t74 () (tptp.powerset @t5)) % 0.37/0.70 (define @t75 () (tptp.element @t2 @t74)) % 0.37/0.70 (define @t76 () (@list @t2)) % 0.37/0.70 (define @t77 () (@list @t3)) % 0.37/0.70 (define @t78 () (tptp.nowhere_dense @t2 @t3)) % 0.37/0.70 (define @t79 () (tptp.closed_subset @t2 @t3)) % 0.37/0.70 (define @t80 () (tptp.open_subset @t2 @t3)) % 0.37/0.70 (define @t81 () (and @t59 @t58)) % 0.37/0.70 (define @t82 () (tptp.finite @t3)) % 0.37/0.70 (define @t83 () (tptp.empty @t3)) % 0.37/0.70 (define @t84 () (not @t83)) % 0.37/0.70 (define @t85 () (tptp.finite @t2)) % 0.37/0.70 (define @t86 () (not @t73)) % 0.37/0.70 (define @t87 () (tptp.powerset @t3)) % 0.37/0.70 (define @t88 () (tptp.element @t2 @t87)) % 0.37/0.70 (define @t89 () (tptp.cartesian_product2 @t3 @t2)) % 0.37/0.70 (define @t90 () (@list @t3 @t2)) % 0.37/0.70 (define @t91 () (and @t61 @t59 @t58)) % 0.37/0.70 (define @t92 () (tptp.one_sorted_str @t3)) % 0.37/0.70 (define @t93 () (tptp.net_str_of @t3 @t2 @t33 @t40)) % 0.37/0.70 (define @t94 () (tptp.relation_of2 @t40 @t2 @t5)) % 0.37/0.70 (define @t95 () (tptp.quasi_total @t40 @t2 @t5)) % 0.37/0.70 (define @t96 () (tptp.function @t40)) % 0.37/0.70 (define @t97 () (tptp.relation_of2 @t33 @t2 @t2)) % 0.37/0.70 (define @t98 () (and @t92 @t97 @t96 @t95 @t94)) % 0.37/0.70 (define @t99 () (@list @t3 @t2 @t33 @t40)) % 0.37/0.70 (define @t100 () (tptp.strict_net_str @t93 @t3)) % 0.37/0.70 (define @t101 () (tptp.rel_str @t3)) % 0.37/0.70 (define @t102 () (and @t61 @t92)) % 0.37/0.70 (define @t103 () (tptp.relation @t3)) % 0.37/0.70 (define @t104 () (and @t84 @t103)) % 0.37/0.70 (define @t105 () (tptp.relation_rng @t3)) % 0.37/0.70 (define @t106 () (tptp.empty @t105)) % 0.37/0.70 (define @t107 () (tptp.the_mapping @t3 @t2)) % 0.37/0.70 (define @t108 () (tptp.strict_net_str @t2 @t3)) % 0.37/0.70 (define @t109 () (and @t92 @t53)) % 0.37/0.70 (define @t110 () (tptp.relation_of2 @t33 @t3 @t2)) % 0.37/0.70 (define @t111 () (tptp.relation_of2_as_subset @t33 @t3 @t2)) % 0.37/0.70 (define @t112 () (tptp.netstr_restr_to_element @t3 @t2 @t33)) % 0.37/0.70 (define @t113 () (tptp.strict_net_str @t112 @t3)) % 0.37/0.70 (define @t114 () (tptp.element @t33 @t12)) % 0.37/0.70 (define @t115 () (tptp.element @t33 (tptp.powerset @t89))) % 0.37/0.70 (define @t116 () (tptp.directed_relstr @t33)) % 0.37/0.70 (define @t117 () (tptp.transitive_relstr @t33)) % 0.37/0.70 (define @t118 () (not (tptp.empty_carrier @t33))) % 0.37/0.70 (define @t119 () (tptp.subnet @t33 @t3 @t2)) % 0.37/0.70 (define @t120 () (@list @t33)) % 0.37/0.70 (define @t121 () (and @t61 @t92 @t57 @t55 @t54 @t53)) % 0.37/0.70 (define @t122 () (tptp.topstr_closure @t3 @t2)) % 0.37/0.70 (define @t123 () (not (tptp.empty_carrier @t112))) % 0.37/0.70 (define @t124 () (and @t61 @t92 @t57 @t55 @t54 @t53 @t114)) % 0.37/0.70 (define @t125 () (tptp.quasi_total @t107 @t12 @t5)) % 0.37/0.70 (define @t126 () (tptp.function @t107)) % 0.37/0.70 (define @t127 () (and @t61 @t92 @t57 @t53)) % 0.37/0.70 (define @t128 () (tptp.relation_rng_as_subset @t3 @t2 @t33)) % 0.37/0.70 (define @t129 () (tptp.subnetstr_of_element @t3 @t2 @t33)) % 0.37/0.70 (define @t130 () (@var "Y" $$unsorted)) % 0.37/0.70 (define @t131 () (tptp.subnetstr_of_element @t3 @t2 @t130)) % 0.37/0.70 (define @t132 () (@var "X" $$unsorted)) % 0.37/0.70 (define @t133 () (= @t132 (tptp.relation_rng_as_subset (tptp.the_carrier @t131) @t5 (tptp.the_mapping @t3 @t131)))) % 0.37/0.70 (define @t134 () (@var "W" $$unsorted)) % 0.37/0.70 (define @t135 () (= @t134 @t130)) % 0.37/0.70 (define @t136 () (@var "T" $$unsorted)) % 0.37/0.70 (define @t137 () (= @t136 (tptp.topstr_closure @t3 @t132))) % 0.37/0.70 (define @t138 () (tptp.element @t130 @t12)) % 0.37/0.70 (define @t139 () (and @t138 @t137 @t135 @t133)) % 0.37/0.70 (define @t140 () (@list @t130)) % 0.37/0.70 (define @t141 () (exists @t140 @t139)) % 0.37/0.70 (define @t142 () (tptp.netstr_induced_subset @t132 @t3 @t2)) % 0.37/0.70 (define @t143 () (and @t142 @t141)) % 0.37/0.70 (define @t144 () (@list @t132)) % 0.37/0.70 (define @t145 () (exists @t144 @t143)) % 0.37/0.70 (define @t146 () (tptp.in @t134 @t12)) % 0.37/0.70 (define @t147 () (and @t146 @t145)) % 0.37/0.70 (define @t148 () (@var "V" $$unsorted)) % 0.37/0.70 (define @t149 () (tptp.in @t134 @t148)) % 0.37/0.70 (define @t150 () (= @t149 @t147)) % 0.37/0.70 (define @t151 () (@list @t134)) % 0.37/0.70 (define @t152 () (forall @t151 @t150)) % 0.37/0.70 (define @t153 () (@var "U" $$unsorted)) % 0.37/0.70 (define @t154 () (= @t153 @t148)) % 0.37/0.70 (define @t155 () (and @t154 @t152)) % 0.37/0.70 (define @t156 () (@list @t148)) % 0.37/0.70 (define @t157 () (exists @t156 @t155)) % 0.37/0.70 (define @t158 () (tptp.in @t136 @t33)) % 0.37/0.70 (define @t159 () (tptp.ordered_pair @t136 @t153)) % 0.37/0.70 (define @t160 () (and (= @t159 @t35) @t158 @t157)) % 0.37/0.70 (define @t161 () (@list @t136 @t153)) % 0.37/0.70 (define @t162 () (exists @t161 @t160)) % 0.37/0.70 (define @t163 () (= @t10 @t35)) % 0.37/0.70 (define @t164 () (tptp.in @t10 @t41)) % 0.37/0.70 (define @t165 () (and @t164 @t163 @t162)) % 0.37/0.70 (define @t166 () (@list @t10)) % 0.37/0.70 (define @t167 () (exists @t166 @t165)) % 0.37/0.70 (define @t168 () (= @t45 @t167)) % 0.37/0.70 (define @t169 () (forall @t47 @t168)) % 0.37/0.70 (define @t170 () (exists @t49 @t169)) % 0.37/0.70 (define @t171 () (= @t35 @t10)) % 0.37/0.70 (define @t172 () (@var "S" $$unsorted)) % 0.37/0.70 (define @t173 () (tptp.subnetstr_of_element @t3 @t2 @t172)) % 0.37/0.70 (define @t174 () (@var "R" $$unsorted)) % 0.37/0.70 (define @t175 () (= @t174 (tptp.relation_rng_as_subset (tptp.the_carrier @t173) @t5 (tptp.the_mapping @t3 @t173)))) % 0.37/0.70 (define @t176 () (@var "Q" $$unsorted)) % 0.37/0.70 (define @t177 () (= @t176 @t172)) % 0.37/0.70 (define @t178 () (@var "N" $$unsorted)) % 0.37/0.70 (define @t179 () (= @t178 (tptp.topstr_closure @t3 @t174))) % 0.37/0.70 (define @t180 () (tptp.element @t172 @t12)) % 0.37/0.70 (define @t181 () (and @t180 @t179 @t177 @t175)) % 0.37/0.70 (define @t182 () (@list @t172)) % 0.37/0.70 (define @t183 () (exists @t182 @t181)) % 0.37/0.70 (define @t184 () (tptp.netstr_induced_subset @t174 @t3 @t2)) % 0.37/0.70 (define @t185 () (and @t184 @t183)) % 0.37/0.70 (define @t186 () (@list @t174)) % 0.37/0.70 (define @t187 () (exists @t186 @t185)) % 0.37/0.70 (define @t188 () (tptp.in @t176 @t12)) % 0.37/0.70 (define @t189 () (and @t188 @t187)) % 0.37/0.70 (define @t190 () (@var "P" $$unsorted)) % 0.37/0.70 (define @t191 () (tptp.in @t176 @t190)) % 0.37/0.70 (define @t192 () (= @t191 @t189)) % 0.37/0.70 (define @t193 () (@list @t176)) % 0.37/0.70 (define @t194 () (forall @t193 @t192)) % 0.37/0.70 (define @t195 () (@var "O" $$unsorted)) % 0.37/0.70 (define @t196 () (= @t195 @t190)) % 0.37/0.70 (define @t197 () (and @t196 @t194)) % 0.37/0.70 (define @t198 () (@list @t190)) % 0.37/0.70 (define @t199 () (exists @t198 @t197)) % 0.37/0.70 (define @t200 () (tptp.in @t178 @t33)) % 0.37/0.70 (define @t201 () (tptp.ordered_pair @t178 @t195)) % 0.37/0.70 (define @t202 () (and (= @t201 @t10) @t200 @t199)) % 0.37/0.70 (define @t203 () (@list @t178 @t195)) % 0.37/0.70 (define @t204 () (exists @t203 @t202)) % 0.37/0.70 (define @t205 () (= @t44 @t10)) % 0.37/0.70 (define @t206 () (@var "M" $$unsorted)) % 0.37/0.70 (define @t207 () (tptp.subnetstr_of_element @t3 @t2 @t206)) % 0.37/0.70 (define @t208 () (= @t1 (tptp.relation_rng_as_subset (tptp.the_carrier @t207) @t5 (tptp.the_mapping @t3 @t207)))) % 0.37/0.70 (define @t209 () (= @t6 @t206)) % 0.37/0.70 (define @t210 () (= @t28 (tptp.topstr_closure @t3 @t1))) % 0.37/0.70 (define @t211 () (tptp.element @t206 @t12)) % 0.37/0.70 (define @t212 () (and @t211 @t210 @t209 @t208)) % 0.37/0.70 (define @t213 () (@list @t206)) % 0.37/0.70 (define @t214 () (exists @t213 @t212)) % 0.37/0.70 (define @t215 () (tptp.netstr_induced_subset @t1 @t3 @t2)) % 0.37/0.70 (define @t216 () (and @t215 @t214)) % 0.37/0.70 (define @t217 () (exists @t15 @t216)) % 0.37/0.70 (define @t218 () (tptp.in @t6 @t12)) % 0.37/0.70 (define @t219 () (and @t218 @t217)) % 0.37/0.70 (define @t220 () (tptp.in @t6 @t8)) % 0.37/0.70 (define @t221 () (= @t220 @t219)) % 0.37/0.70 (define @t222 () (forall @t19 @t221)) % 0.37/0.70 (define @t223 () (= @t23 @t8)) % 0.37/0.70 (define @t224 () (and @t223 @t222)) % 0.37/0.70 (define @t225 () (exists @t26 @t224)) % 0.37/0.70 (define @t226 () (tptp.in @t28 @t33)) % 0.37/0.70 (define @t227 () (tptp.ordered_pair @t28 @t23)) % 0.37/0.70 (define @t228 () (and (= @t227 @t35) @t226 @t225)) % 0.37/0.70 (define @t229 () (@list @t28 @t23)) % 0.37/0.70 (define @t230 () (exists @t229 @t228)) % 0.37/0.70 (define @t231 () (= @t44 @t35)) % 0.37/0.70 (define @t232 () (and @t231 @t230 @t205 @t204)) % 0.37/0.70 (define @t233 () (=> @t232 @t171)) % 0.37/0.70 (define @t234 () (@list @t44 @t35 @t10)) % 0.37/0.70 (define @t235 () (forall @t234 @t233)) % 0.37/0.70 (define @t236 () (=> @t235 @t170)) % 0.37/0.70 (define @t237 () (forall @t51 @t236)) % 0.37/0.70 (define @t238 () (=> @t62 @t237)) % 0.37/0.70 (define @t239 () (forall @t64 @t238)) % 0.37/0.70 (define @t240 () (tptp.in @t8 @t28)) % 0.37/0.70 (define @t241 () (tptp.subnetstr_of_element @t3 @t2 @t8)) % 0.37/0.70 (define @t242 () (tptp.relation_rng_as_subset (tptp.the_carrier @t241) @t5 (tptp.the_mapping @t3 @t241))) % 0.37/0.70 (define @t243 () (= @t10 (tptp.topstr_closure @t3 @t242))) % 0.37/0.70 (define @t244 () (tptp.netstr_induced_subset @t242 @t3 @t2)) % 0.37/0.70 (define @t245 () (tptp.element @t8 @t12)) % 0.37/0.70 (define @t246 () (and @t21 @t245 @t244 @t243)) % 0.37/0.70 (define @t247 () (forall @t26 (= @t246 @t240))) % 0.37/0.70 (define @t248 () (not @t247)) % 0.37/0.70 (define @t249 () (not @t34)) % 0.37/0.70 (define @t250 () (= @t35 @t36)) % 0.37/0.70 (define @t251 () (not @t250)) % 0.37/0.70 (define @t252 () (or @t251 @t249 @t248)) % 0.37/0.70 (define @t253 () (not (forall @t38 @t252))) % 0.37/0.70 (define @t254 () (@var "BOUND_VARIABLE_8076" $$unsorted)) % 0.37/0.70 (define @t255 () (not (forall @t49 (not (forall @t47 (= @t45 (and (tptp.in @t35 (tptp.cartesian_product2 @t33 @t254)) @t253))))))) % 0.37/0.70 (define @t256 () (not @t53)) % 0.37/0.70 (define @t257 () (not @t54)) % 0.37/0.70 (define @t258 () (not @t55)) % 0.37/0.70 (define @t259 () (not @t58)) % 0.37/0.70 (define @t260 () (not @t59)) % 0.37/0.70 (define @t261 () (or @t60 @t260 @t259 @t56 @t258 @t257 @t256 @t255)) % 0.37/0.70 (define @t262 () (forall (@list @t3 @t2 @t33 @t254) @t261)) % 0.37/0.70 (define @t263 () (@list @t254)) % 0.37/0.70 (define @t264 () (forall @t263 @t261)) % 0.37/0.70 (define @t265 () (forall @t263 @t255)) % 0.37/0.70 (define @t266 () (@list @t40)) % 0.37/0.70 (define @t267 () (or @t60 @t260 @t259 @t56 @t258 @t257 @t256 @t265)) % 0.37/0.70 (define @t268 () (forall @t47 (= @t45 (and @t42 @t253)))) % 0.37/0.70 (define @t269 () (not (forall @t49 (not @t268)))) % 0.37/0.70 (define @t270 () (forall @t51 @t269)) % 0.37/0.70 (define @t271 () (or @t60 @t260 @t259 @t56 @t258 @t257 @t256 @t270)) % 0.37/0.70 (define @t272 () (or @t60 @t260 @t259 @t56 @t258 @t257 @t256)) % 0.37/0.70 (define @t273 () (not @t57)) % 0.37/0.70 (define @t274 () (not @t61)) % 0.37/0.70 (define @t275 () (or @t274 @t260 @t259 @t273 @t258 @t257 @t256)) % 0.37/0.70 (define @t276 () (not @t62)) % 0.37/0.70 (define @t277 () (and @t250 @t34 @t247)) % 0.37/0.70 (define @t278 () (forall @t38 (not @t277))) % 0.37/0.70 (define @t279 () (not @t278)) % 0.37/0.70 (define @t280 () (forall @t26 (= @t240 @t246))) % 0.37/0.70 (define @t281 () (not @t280)) % 0.37/0.70 (define @t282 () (not (= @t28 @t28))) % 0.37/0.70 (define @t283 () (or @t282 @t281)) % 0.37/0.70 (define @t284 () (forall @t26 (= @t24 @t246))) % 0.37/0.70 (define @t285 () (not @t284)) % 0.37/0.70 (define @t286 () (not @t29)) % 0.37/0.70 (define @t287 () (or @t286 @t286 @t285)) % 0.37/0.70 (define @t288 () (or @t286 @t285)) % 0.37/0.70 (define @t289 () (and @t29 @t284)) % 0.37/0.70 (define @t290 () (forall @t31 (not @t289))) % 0.37/0.70 (define @t291 () (not @t290)) % 0.37/0.70 (define @t292 () (not @t243)) % 0.37/0.70 (define @t293 () (not @t292)) % 0.37/0.70 (define @t294 () (not @t244)) % 0.37/0.70 (define @t295 () (not @t294)) % 0.37/0.70 (define @t296 () (not @t245)) % 0.37/0.70 (define @t297 () (not @t296)) % 0.37/0.70 (define @t298 () (and @t297 @t295 @t293)) % 0.37/0.70 (define @t299 () (or @t294 @t292)) % 0.37/0.70 (define @t300 () (or @t296 @t294 @t292)) % 0.37/0.70 (define @t301 () (and @t21 (not @t300))) % 0.37/0.70 (define @t302 () (= @t24 @t301)) % 0.37/0.70 (define @t303 () (not (= @t242 @t242))) % 0.37/0.70 (define @t304 () (or @t294 @t292 @t303)) % 0.37/0.70 (define @t305 () (not (= @t6 @t242))) % 0.37/0.70 (define @t306 () (not @t11)) % 0.37/0.70 (define @t307 () (not @t17)) % 0.37/0.70 (define @t308 () (or @t305 @t307 @t306 @t305)) % 0.37/0.70 (define @t309 () (or @t307 @t306 @t305)) % 0.37/0.70 (define @t310 () (forall @t19 @t309)) % 0.37/0.70 (define @t311 () (or @t296 @t310)) % 0.37/0.70 (define @t312 () (or @t296 @t309)) % 0.37/0.70 (define @t313 () (or @t307 @t306 @t296 @t305)) % 0.37/0.70 (define @t314 () (or @t306 @t296 @t305)) % 0.37/0.70 (define @t315 () (not @t314)) % 0.37/0.70 (define @t316 () (and @t17 @t315)) % 0.37/0.70 (define @t317 () (forall @t19 (not @t316))) % 0.37/0.70 (define @t318 () (not @t317)) % 0.37/0.70 (define @t319 () (or @t296 @t305)) % 0.37/0.70 (define @t320 () (not (= @t8 @t8))) % 0.37/0.70 (define @t321 () (or @t296 @t320 @t305)) % 0.37/0.70 (define @t322 () (not @t7)) % 0.37/0.70 (define @t323 () (not @t9)) % 0.37/0.70 (define @t324 () (not @t13)) % 0.37/0.70 (define @t325 () (or @t323 @t324 @t323 @t322)) % 0.37/0.70 (define @t326 () (or @t324 @t323 @t322)) % 0.37/0.70 (define @t327 () (forall @t15 @t326)) % 0.37/0.70 (define @t328 () (or @t306 @t327)) % 0.37/0.70 (define @t329 () (or @t306 @t326)) % 0.37/0.70 (define @t330 () (or @t324 @t306 @t323 @t322)) % 0.37/0.70 (define @t331 () (forall @t15 (not @t14))) % 0.37/0.70 (define @t332 () (not @t331)) % 0.37/0.70 (define @t333 () (tptp.in @t134 @t153)) % 0.37/0.70 (define @t334 () (tptp.subnetstr_of_element @t3 @t2 @t134)) % 0.37/0.70 (define @t335 () (tptp.relation_rng_as_subset (tptp.the_carrier @t334) @t5 (tptp.the_mapping @t3 @t334))) % 0.37/0.70 (define @t336 () (= @t136 (tptp.topstr_closure @t3 @t335))) % 0.37/0.70 (define @t337 () (tptp.netstr_induced_subset @t335 @t3 @t2)) % 0.37/0.70 (define @t338 () (tptp.element @t134 @t12)) % 0.37/0.70 (define @t339 () (and @t146 @t338 @t337 @t336)) % 0.37/0.70 (define @t340 () (forall @t151 (= @t339 @t333))) % 0.37/0.70 (define @t341 () (not @t340)) % 0.37/0.70 (define @t342 () (not @t158)) % 0.37/0.70 (define @t343 () (= @t35 @t159)) % 0.37/0.70 (define @t344 () (not @t343)) % 0.37/0.70 (define @t345 () (or @t344 @t342 @t341)) % 0.37/0.70 (define @t346 () (forall @t161 @t345)) % 0.37/0.70 (define @t347 () (not @t346)) % 0.37/0.70 (define @t348 () (@var "BOUND_VARIABLE_9051" $$unsorted)) % 0.37/0.70 (define @t349 () (tptp.in @t35 (tptp.cartesian_product2 @t33 @t348))) % 0.37/0.70 (define @t350 () (and @t349 @t347)) % 0.37/0.70 (define @t351 () (and @t347 @t349)) % 0.37/0.70 (define @t352 () (= @t45 @t351)) % 0.37/0.70 (define @t353 () (forall @t47 @t352)) % 0.37/0.70 (define @t354 () (not @t353)) % 0.37/0.70 (define @t355 () (forall @t49 @t354)) % 0.37/0.70 (define @t356 () (not @t355)) % 0.37/0.70 (define @t357 () (or @t60 @t260 @t259 @t56 @t258 @t257 @t256 @t356)) % 0.37/0.70 (define @t358 () (@list @t3 @t2 @t33 @t348)) % 0.37/0.70 (define @t359 () (forall @t358 @t357)) % 0.37/0.70 (define @t360 () (forall @t358 (or @t60 @t260 @t259 @t56 @t258 @t257 @t256 (not (forall @t49 (not (forall @t47 (= @t45 @t350)))))))) % 0.37/0.70 (define @t361 () (@var "BOUND_VARIABLE_9636" $$unsorted)) % 0.37/0.70 (define @t362 () (@var "BOUND_VARIABLE_9637" $$unsorted)) % 0.37/0.70 (define @t363 () (@var "BOUND_VARIABLE_9632" $$unsorted)) % 0.37/0.70 (define @t364 () (@var "BOUND_VARIABLE_9631" $$unsorted)) % 0.37/0.70 (define @t365 () (tptp.subnetstr_of_element @t364 @t363 @t362)) % 0.37/0.70 (define @t366 () (tptp.relation_rng_as_subset (tptp.the_carrier @t365) (tptp.the_carrier @t364) (tptp.the_mapping @t364 @t365))) % 0.37/0.70 (define @t367 () (@var "BOUND_VARIABLE_9635" $$unsorted)) % 0.37/0.70 (define @t368 () (tptp.the_carrier @t363)) % 0.37/0.70 (define @t369 () (@var "BOUND_VARIABLE_9638" $$unsorted)) % 0.37/0.70 (define @t370 () (@var "BOUND_VARIABLE_9634" $$unsorted)) % 0.37/0.70 (define @t371 () (@var "BOUND_VARIABLE_9639" $$unsorted)) % 0.37/0.70 (define @t372 () (@var "BOUND_VARIABLE_9633" $$unsorted)) % 0.37/0.70 (define @t373 () (@list @t364 @t363 @t372 @t370 @t367 @t361 @t362 @t369 @t371)) % 0.37/0.70 (define @t374 () (@list true)) % 0.37/0.70 (define @t375 () (@list @t348)) % 0.37/0.70 (define @t376 () (forall @t375 @t357)) % 0.37/0.70 (define @t377 () (forall @t375 @t356)) % 0.37/0.70 (define @t378 () (or @t60 @t260 @t259 @t56 @t258 @t257 @t256 @t377)) % 0.37/0.70 (define @t379 () (forall @t47 (= @t45 (and @t347 @t42)))) % 0.37/0.70 (define @t380 () (not (forall @t49 (not @t379)))) % 0.37/0.70 (define @t381 () (forall @t51 @t380)) % 0.37/0.70 (define @t382 () (or @t60 @t260 @t259 @t56 @t258 @t257 @t256 @t381)) % 0.37/0.70 (define @t383 () (not @t42)) % 0.37/0.70 (define @t384 () (= @t45 (not (or @t346 @t383)))) % 0.37/0.70 (define @t385 () (not (= @t35 @t35))) % 0.37/0.70 (define @t386 () (or @t383 @t385)) % 0.37/0.70 (define @t387 () (not @t171)) % 0.37/0.70 (define @t388 () (not @t164)) % 0.37/0.70 (define @t389 () (or @t387 @t388 @t387)) % 0.37/0.70 (define @t390 () (or @t388 @t387)) % 0.37/0.70 (define @t391 () (forall @t166 @t390)) % 0.37/0.70 (define @t392 () (or @t346 @t391)) % 0.37/0.70 (define @t393 () (or @t346 @t390)) % 0.37/0.70 (define @t394 () (or @t388 @t387 @t346)) % 0.37/0.70 (define @t395 () (not @t347)) % 0.37/0.70 (define @t396 () (or @t388 @t387 @t395)) % 0.37/0.70 (define @t397 () (and @t164 @t171 @t347)) % 0.37/0.70 (define @t398 () (forall @t166 (not @t397))) % 0.37/0.70 (define @t399 () (not @t398)) % 0.37/0.70 (define @t400 () (and @t343 @t158 @t340)) % 0.37/0.70 (define @t401 () (forall @t161 (not @t400))) % 0.37/0.70 (define @t402 () (not @t401)) % 0.37/0.70 (define @t403 () (forall @t151 (= @t333 @t339))) % 0.37/0.70 (define @t404 () (not @t403)) % 0.37/0.70 (define @t405 () (not (= @t153 @t153))) % 0.37/0.70 (define @t406 () (or @t405 @t404)) % 0.37/0.70 (define @t407 () (forall @t151 (= @t149 @t339))) % 0.37/0.70 (define @t408 () (not @t407)) % 0.37/0.70 (define @t409 () (not @t154)) % 0.37/0.70 (define @t410 () (or @t409 @t409 @t408)) % 0.37/0.70 (define @t411 () (or @t409 @t408)) % 0.37/0.70 (define @t412 () (and @t154 @t407)) % 0.37/0.70 (define @t413 () (forall @t156 (not @t412))) % 0.37/0.70 (define @t414 () (not @t413)) % 0.37/0.70 (define @t415 () (not @t336)) % 0.37/0.70 (define @t416 () (not @t415)) % 0.37/0.70 (define @t417 () (not @t337)) % 0.37/0.70 (define @t418 () (not @t417)) % 0.37/0.70 (define @t419 () (not @t338)) % 0.37/0.70 (define @t420 () (not @t419)) % 0.37/0.70 (define @t421 () (and @t420 @t418 @t416)) % 0.37/0.70 (define @t422 () (or @t417 @t415)) % 0.37/0.70 (define @t423 () (or @t419 @t417 @t415)) % 0.37/0.70 (define @t424 () (and @t146 (not @t423))) % 0.37/0.70 (define @t425 () (= @t149 @t424)) % 0.37/0.70 (define @t426 () (not (= @t335 @t335))) % 0.37/0.70 (define @t427 () (or @t417 @t415 @t426)) % 0.37/0.70 (define @t428 () (not (= @t132 @t335))) % 0.37/0.70 (define @t429 () (not @t137)) % 0.37/0.70 (define @t430 () (not @t142)) % 0.37/0.70 (define @t431 () (or @t428 @t430 @t429 @t428)) % 0.37/0.70 (define @t432 () (or @t430 @t429 @t428)) % 0.37/0.70 (define @t433 () (forall @t144 @t432)) % 0.37/0.70 (define @t434 () (or @t419 @t433)) % 0.37/0.70 (define @t435 () (or @t419 @t432)) % 0.37/0.70 (define @t436 () (or @t430 @t429 @t419 @t428)) % 0.37/0.70 (define @t437 () (or @t429 @t419 @t428)) % 0.37/0.70 (define @t438 () (not @t437)) % 0.37/0.70 (define @t439 () (and @t142 @t438)) % 0.37/0.70 (define @t440 () (forall @t144 (not @t439))) % 0.37/0.70 (define @t441 () (not @t440)) % 0.37/0.70 (define @t442 () (or @t419 @t428)) % 0.37/0.70 (define @t443 () (not (= @t134 @t134))) % 0.37/0.70 (define @t444 () (or @t419 @t443 @t428)) % 0.37/0.70 (define @t445 () (not @t133)) % 0.37/0.70 (define @t446 () (not @t135)) % 0.37/0.70 (define @t447 () (not @t138)) % 0.37/0.70 (define @t448 () (or @t446 @t447 @t446 @t445)) % 0.37/0.70 (define @t449 () (or @t447 @t446 @t445)) % 0.37/0.70 (define @t450 () (forall @t140 @t449)) % 0.37/0.70 (define @t451 () (or @t429 @t450)) % 0.37/0.70 (define @t452 () (or @t429 @t449)) % 0.37/0.70 (define @t453 () (or @t447 @t429 @t446 @t445)) % 0.37/0.70 (define @t454 () (forall @t140 (not @t139))) % 0.37/0.70 (define @t455 () (not @t454)) % 0.37/0.70 (define @t456 () (@var "BOUND_VARIABLE_8887" $$unsorted)) % 0.37/0.70 (define @t457 () (@var "BOUND_VARIABLE_8885" $$unsorted)) % 0.37/0.70 (define @t458 () (@var "BOUND_VARIABLE_8871" $$unsorted)) % 0.37/0.70 (define @t459 () (@var "BOUND_VARIABLE_8869" $$unsorted)) % 0.37/0.70 (define @t460 () (@list @t35 @t10 @t459 @t458 @t457 @t456)) % 0.37/0.70 (define @t461 () (tptp.subnetstr_of_element @t3 @t2 @t176)) % 0.37/0.70 (define @t462 () (tptp.relation_rng_as_subset (tptp.the_carrier @t461) @t5 (tptp.the_mapping @t3 @t461))) % 0.37/0.70 (define @t463 () (tptp.topstr_closure @t3 @t462)) % 0.37/0.70 (define @t464 () (tptp.netstr_induced_subset @t462 @t3 @t2)) % 0.37/0.70 (define @t465 () (tptp.element @t176 @t12)) % 0.37/0.70 (define @t466 () (and @t188 @t465 @t464 (= @t463 @t457))) % 0.37/0.70 (define @t467 () (tptp.in @t176 @t456)) % 0.37/0.70 (define @t468 () (not (forall @t193 (= @t467 @t466)))) % 0.37/0.70 (define @t469 () (not (tptp.in @t457 @t33))) % 0.37/0.70 (define @t470 () (not (= @t10 (tptp.ordered_pair @t457 @t456)))) % 0.37/0.70 (define @t471 () (tptp.subnetstr_of_element @t3 @t2 @t6)) % 0.37/0.70 (define @t472 () (tptp.relation_rng_as_subset (tptp.the_carrier @t471) @t5 (tptp.the_mapping @t3 @t471))) % 0.37/0.70 (define @t473 () (tptp.topstr_closure @t3 @t472)) % 0.37/0.70 (define @t474 () (tptp.netstr_induced_subset @t472 @t3 @t2)) % 0.37/0.70 (define @t475 () (tptp.element @t6 @t12)) % 0.37/0.70 (define @t476 () (and @t218 @t475 @t474 (= @t473 @t459))) % 0.37/0.70 (define @t477 () (tptp.in @t6 @t458)) % 0.37/0.70 (define @t478 () (not (forall @t19 (= @t477 @t476)))) % 0.37/0.70 (define @t479 () (not (tptp.in @t459 @t33))) % 0.37/0.70 (define @t480 () (not (= @t35 (tptp.ordered_pair @t459 @t458)))) % 0.37/0.70 (define @t481 () (or @t387 @t171 @t480 @t479 @t478 @t470 @t469 @t468)) % 0.37/0.70 (define @t482 () (or @t385 @t387 @t171 @t480 @t479 @t478 @t470 @t469 @t468)) % 0.37/0.70 (define @t483 () (not @t205)) % 0.37/0.70 (define @t484 () (not @t231)) % 0.37/0.70 (define @t485 () (or @t484 @t484 @t483 @t171 @t480 @t479 @t478 @t470 @t469 @t468)) % 0.37/0.70 (define @t486 () (or @t484 @t483 @t171 @t480 @t479 @t478 @t470 @t469 @t468)) % 0.37/0.70 (define @t487 () (forall @t49 @t486)) % 0.37/0.70 (define @t488 () (forall @t460 @t487)) % 0.37/0.70 (define @t489 () (forall (@list @t35 @t10 @t459 @t458 @t457 @t456 @t44) @t486)) % 0.37/0.70 (define @t490 () (@list @t44 @t35 @t10 @t459 @t458 @t457 @t456)) % 0.37/0.70 (define @t491 () (and @t188 @t465 @t464 (= @t457 @t463))) % 0.37/0.70 (define @t492 () (= @t491 @t467)) % 0.37/0.70 (define @t493 () (forall @t193 @t492)) % 0.37/0.70 (define @t494 () (not @t493)) % 0.37/0.70 (define @t495 () (and @t218 @t475 @t474 (= @t459 @t473))) % 0.37/0.70 (define @t496 () (= @t495 @t477)) % 0.37/0.70 (define @t497 () (forall @t19 @t496)) % 0.37/0.70 (define @t498 () (not @t497)) % 0.37/0.70 (define @t499 () (or @t484 @t483 @t171 @t480 @t479 @t498 @t470 @t469 @t494)) % 0.37/0.70 (define @t500 () (or @t470 @t469 @t494)) % 0.37/0.70 (define @t501 () (or @t480 @t479 @t498)) % 0.37/0.70 (define @t502 () (or @t484 @t501 @t483 @t500 @t171)) % 0.37/0.70 (define @t503 () (forall @t490 @t502)) % 0.37/0.70 (define @t504 () (forall (@list @t459 @t458 @t457 @t456) @t502)) % 0.37/0.70 (define @t505 () (forall (@list @t457 @t456) @t500)) % 0.37/0.70 (define @t506 () (forall (@list @t459 @t458) @t501)) % 0.37/0.70 (define @t507 () (or @t484 @t506 @t483 @t505 @t171)) % 0.37/0.70 (define @t508 () (tptp.in @t176 @t195)) % 0.37/0.70 (define @t509 () (= @t178 @t463)) % 0.37/0.70 (define @t510 () (and @t188 @t465 @t464 @t509)) % 0.37/0.70 (define @t511 () (forall @t193 (= @t510 @t508))) % 0.37/0.70 (define @t512 () (not @t511)) % 0.37/0.70 (define @t513 () (not @t200)) % 0.37/0.70 (define @t514 () (= @t10 @t201)) % 0.37/0.70 (define @t515 () (not @t514)) % 0.37/0.70 (define @t516 () (or @t515 @t513 @t512)) % 0.37/0.70 (define @t517 () (forall @t203 @t516)) % 0.37/0.70 (define @t518 () (tptp.in @t6 @t23)) % 0.37/0.70 (define @t519 () (= @t28 @t473)) % 0.37/0.70 (define @t520 () (and @t218 @t475 @t474 @t519)) % 0.37/0.70 (define @t521 () (forall @t19 (= @t520 @t518))) % 0.37/0.70 (define @t522 () (not @t521)) % 0.37/0.70 (define @t523 () (not @t226)) % 0.37/0.70 (define @t524 () (= @t35 @t227)) % 0.37/0.70 (define @t525 () (not @t524)) % 0.37/0.70 (define @t526 () (or @t525 @t523 @t522)) % 0.37/0.70 (define @t527 () (forall @t229 @t526)) % 0.37/0.70 (define @t528 () (or @t484 @t527 @t483 @t517 @t171)) % 0.37/0.70 (define @t529 () (not @t517)) % 0.37/0.70 (define @t530 () (not @t529)) % 0.37/0.70 (define @t531 () (not @t527)) % 0.37/0.70 (define @t532 () (not @t531)) % 0.37/0.70 (define @t533 () (or @t484 @t532 @t483 @t530)) % 0.37/0.70 (define @t534 () (and @t231 @t531 @t205 @t529)) % 0.37/0.70 (define @t535 () (and @t514 @t200 @t511)) % 0.37/0.70 (define @t536 () (forall @t203 (not @t535))) % 0.37/0.70 (define @t537 () (not @t536)) % 0.37/0.70 (define @t538 () (forall @t193 (= @t508 @t510))) % 0.37/0.70 (define @t539 () (not @t538)) % 0.37/0.70 (define @t540 () (not (= @t195 @t195))) % 0.37/0.70 (define @t541 () (or @t540 @t539)) % 0.37/0.70 (define @t542 () (forall @t193 (= @t191 @t510))) % 0.37/0.70 (define @t543 () (not @t542)) % 0.37/0.70 (define @t544 () (not @t196)) % 0.37/0.70 (define @t545 () (or @t544 @t544 @t543)) % 0.37/0.70 (define @t546 () (or @t544 @t543)) % 0.37/0.70 (define @t547 () (and @t196 @t542)) % 0.37/0.70 (define @t548 () (forall @t198 (not @t547))) % 0.37/0.70 (define @t549 () (not @t548)) % 0.37/0.70 (define @t550 () (not @t509)) % 0.37/0.70 (define @t551 () (not @t550)) % 0.37/0.70 (define @t552 () (not @t464)) % 0.37/0.70 (define @t553 () (not @t552)) % 0.37/0.70 (define @t554 () (not @t465)) % 0.37/0.70 (define @t555 () (not @t554)) % 0.37/0.70 (define @t556 () (and @t555 @t553 @t551)) % 0.37/0.70 (define @t557 () (or @t552 @t550)) % 0.37/0.70 (define @t558 () (or @t554 @t552 @t550)) % 0.37/0.70 (define @t559 () (and @t188 (not @t558))) % 0.37/0.70 (define @t560 () (= @t191 @t559)) % 0.37/0.70 (define @t561 () (not (= @t462 @t462))) % 0.37/0.70 (define @t562 () (or @t552 @t550 @t561)) % 0.37/0.70 (define @t563 () (not (= @t174 @t462))) % 0.37/0.70 (define @t564 () (not @t179)) % 0.37/0.70 (define @t565 () (not @t184)) % 0.37/0.70 (define @t566 () (or @t563 @t565 @t564 @t563)) % 0.37/0.70 (define @t567 () (or @t565 @t564 @t563)) % 0.37/0.70 (define @t568 () (forall @t186 @t567)) % 0.37/0.70 (define @t569 () (or @t554 @t568)) % 0.37/0.70 (define @t570 () (or @t554 @t567)) % 0.37/0.70 (define @t571 () (or @t565 @t564 @t554 @t563)) % 0.37/0.70 (define @t572 () (or @t564 @t554 @t563)) % 0.37/0.70 (define @t573 () (not @t572)) % 0.37/0.70 (define @t574 () (and @t184 @t573)) % 0.37/0.70 (define @t575 () (forall @t186 (not @t574))) % 0.37/0.70 (define @t576 () (not @t575)) % 0.37/0.70 (define @t577 () (or @t554 @t563)) % 0.37/0.70 (define @t578 () (not (= @t176 @t176))) % 0.37/0.70 (define @t579 () (or @t554 @t578 @t563)) % 0.37/0.70 (define @t580 () (not @t175)) % 0.37/0.70 (define @t581 () (not @t177)) % 0.37/0.70 (define @t582 () (not @t180)) % 0.37/0.70 (define @t583 () (or @t581 @t582 @t581 @t580)) % 0.37/0.70 (define @t584 () (or @t582 @t581 @t580)) % 0.37/0.70 (define @t585 () (forall @t182 @t584)) % 0.37/0.70 (define @t586 () (or @t564 @t585)) % 0.37/0.70 (define @t587 () (or @t564 @t584)) % 0.37/0.70 (define @t588 () (or @t582 @t564 @t581 @t580)) % 0.37/0.70 (define @t589 () (forall @t182 (not @t181))) % 0.37/0.70 (define @t590 () (not @t589)) % 0.37/0.70 (define @t591 () (and @t524 @t226 @t521)) % 0.37/0.70 (define @t592 () (forall @t229 (not @t591))) % 0.37/0.70 (define @t593 () (not @t592)) % 0.37/0.70 (define @t594 () (forall @t19 (= @t518 @t520))) % 0.37/0.70 (define @t595 () (not @t594)) % 0.37/0.70 (define @t596 () (not (= @t23 @t23))) % 0.37/0.70 (define @t597 () (or @t596 @t595)) % 0.37/0.70 (define @t598 () (forall @t19 (= @t220 @t520))) % 0.37/0.70 (define @t599 () (not @t598)) % 0.37/0.70 (define @t600 () (not @t223)) % 0.37/0.70 (define @t601 () (or @t600 @t600 @t599)) % 0.37/0.70 (define @t602 () (or @t600 @t599)) % 0.37/0.70 (define @t603 () (and @t223 @t598)) % 0.37/0.70 (define @t604 () (forall @t26 (not @t603))) % 0.37/0.70 (define @t605 () (not @t604)) % 0.37/0.70 (define @t606 () (not @t519)) % 0.37/0.70 (define @t607 () (not @t606)) % 0.37/0.70 (define @t608 () (not @t474)) % 0.37/0.70 (define @t609 () (not @t608)) % 0.37/0.70 (define @t610 () (not @t475)) % 0.37/0.70 (define @t611 () (not @t610)) % 0.37/0.70 (define @t612 () (and @t611 @t609 @t607)) % 0.37/0.70 (define @t613 () (or @t608 @t606)) % 0.37/0.70 (define @t614 () (or @t610 @t608 @t606)) % 0.37/0.70 (define @t615 () (and @t218 (not @t614))) % 0.37/0.70 (define @t616 () (= @t220 @t615)) % 0.37/0.70 (define @t617 () (not (= @t472 @t472))) % 0.37/0.70 (define @t618 () (or @t608 @t606 @t617)) % 0.37/0.70 (define @t619 () (not (= @t1 @t472))) % 0.37/0.70 (define @t620 () (not @t210)) % 0.37/0.70 (define @t621 () (not @t215)) % 0.37/0.70 (define @t622 () (or @t619 @t621 @t620 @t619)) % 0.37/0.70 (define @t623 () (or @t621 @t620 @t619)) % 0.37/0.70 (define @t624 () (forall @t15 @t623)) % 0.37/0.70 (define @t625 () (or @t610 @t624)) % 0.37/0.70 (define @t626 () (or @t610 @t623)) % 0.37/0.70 (define @t627 () (or @t621 @t620 @t610 @t619)) % 0.37/0.70 (define @t628 () (or @t620 @t610 @t619)) % 0.37/0.70 (define @t629 () (not @t628)) % 0.37/0.70 (define @t630 () (and @t215 @t629)) % 0.37/0.70 (define @t631 () (forall @t15 (not @t630))) % 0.37/0.70 (define @t632 () (not @t631)) % 0.37/0.70 (define @t633 () (or @t610 @t619)) % 0.37/0.70 (define @t634 () (not (= @t6 @t6))) % 0.37/0.70 (define @t635 () (or @t610 @t634 @t619)) % 0.37/0.70 (define @t636 () (not @t208)) % 0.37/0.70 (define @t637 () (not @t209)) % 0.37/0.70 (define @t638 () (not @t211)) % 0.37/0.70 (define @t639 () (or @t637 @t638 @t637 @t636)) % 0.37/0.70 (define @t640 () (or @t638 @t637 @t636)) % 0.37/0.70 (define @t641 () (forall @t213 @t640)) % 0.37/0.70 (define @t642 () (or @t620 @t641)) % 0.37/0.70 (define @t643 () (or @t620 @t640)) % 0.37/0.70 (define @t644 () (or @t638 @t620 @t637 @t636)) % 0.37/0.70 (define @t645 () (forall @t213 (not @t212))) % 0.37/0.70 (define @t646 () (not @t645)) % 0.37/0.70 (assume @p1 @t66) % 0.37/0.70 (assume @p2 (forall @t77 (=> @t58 (exists @t76 (and @t75 @t73 @t72 @t71 @t70 @t69 @t68 @t67))))) % 0.37/0.70 (assume @p3 (forall @t77 (=> @t81 (exists @t76 (and @t75 @t73 @t80 @t79 @t72 @t71 @t70 @t69 @t68 @t67 @t78))))) % 0.37/0.70 (assume @p4 (exists @t77 (and @t84 @t82))) % 0.37/0.70 (assume @p5 (forall @t77 (=> @t84 (exists @t76 (and @t88 @t86 @t85))))) % 0.37/0.70 (assume @p6 (forall @t77 (=> @t82 (forall @t76 (=> @t88 @t85))))) % 0.37/0.70 (assume @p7 (forall @t90 (=> (and @t82 @t85) (tptp.finite @t89)))) % 0.37/0.70 (assume @p8 (forall @t77 (=> @t81 (exists @t76 (and @t75 @t80))))) % 0.37/0.70 (assume @p9 (forall @t77 (=> @t81 (exists @t76 (and @t75 @t80 @t79))))) % 0.37/0.70 (assume @p10 (forall @t77 (=> @t91 (exists @t76 (and @t75 @t86 @t80 @t79))))) % 0.37/0.70 (assume @p11 (forall @t77 (=> @t81 (forall @t76 (=> @t75 (=> @t78 @t67)))))) % 0.37/0.70 (assume @p12 (forall @t77 (=> @t81 (forall @t76 (=> @t75 (=> (and @t79 @t67) (and @t67 @t78))))))) % 0.37/0.70 (assume @p13 (forall @t77 (=> @t81 (forall @t76 (=> @t75 (=> (and @t80 @t78) (and @t73 @t80 @t79 @t72 @t71 @t70 @t69 @t68 @t67 @t78))))))) % 0.37/0.70 (assume @p14 (forall @t77 (exists @t76 (and (tptp.element @t2 (tptp.powerset @t87)) @t86 @t85)))) % 0.37/0.70 (assume @p15 (forall @t77 (=> @t92 (exists @t76 (and (tptp.element @t2 (tptp.powerset @t74)) @t86 @t85))))) % 0.37/0.70 (assume @p16 (forall @t99 (=> @t98 (forall (@list @t44 @t35 @t10 @t28) (=> (= @t93 (tptp.net_str_of @t44 @t35 @t10 @t28)) (and (= @t3 @t44) (= @t2 @t35) (= @t33 @t10) (= @t40 @t28))))))) % 0.37/0.70 (assume @p17 (forall @t99 (=> @t98 (and @t100 (tptp.net_str @t93 @t3))))) % 0.37/0.70 (assume @p18 (forall @t77 (=> @t101 (tptp.relation_of2_as_subset (tptp.the_InternalRel @t3) @t5 @t5)))) % 0.37/0.70 (assume @p19 (forall @t77 (=> @t84 (exists @t76 (and @t88 @t86))))) % 0.37/0.70 (assume @p20 (forall @t90 (=> (and @t84 @t86) (not (tptp.empty @t89))))) % 0.37/0.70 (assume @p21 (forall @t77 (exists @t76 (and @t88 @t73)))) % 0.37/0.70 (assume @p22 (forall @t77 (=> @t83 @t82))) % 0.37/0.70 (assume @p23 (forall @t77 (=> @t102 (exists @t76 (and @t75 @t86))))) % 0.37/0.70 (assume @p24 (forall @t77 (=> @t81 (exists @t76 (and @t75 @t79))))) % 0.37/0.70 (assume @p25 (forall @t77 (=> @t91 (exists @t76 (and @t75 @t86 @t79))))) % 0.37/0.70 (assume @p26 (forall @t77 (=> @t81 (forall @t76 (=> @t75 (=> @t73 (and @t80 @t79))))))) % 0.37/0.70 (assume @p27 (forall @t77 (=> @t58 (forall @t76 (=> @t75 (=> @t73 @t67)))))) % 0.37/0.70 (assume @p28 (forall @t77 (=> @t81 (forall @t76 (=> @t75 (=> @t73 @t78)))))) % 0.37/0.70 (assume @p29 (forall @t99 (=> (and @t92 @t86 @t97 @t96 @t95 @t94) (and (not (tptp.empty_carrier @t93)) @t100)))) % 0.37/0.70 (assume @p30 (exists @t77 (and @t83 @t103))) % 0.37/0.70 (assume @p31 (forall @t77 (=> @t83 @t103))) % 0.37/0.70 (assume @p32 (exists @t77 @t104)) % 0.37/0.70 (assume @p33 (forall @t77 (=> @t104 (not @t106)))) % 0.37/0.70 (assume @p34 (forall @t77 (=> @t83 (and @t106 (tptp.relation @t105))))) % 0.37/0.70 (assume @p35 (forall @t90 (=> @t109 (=> @t108 (= @t2 (tptp.net_str_of @t3 @t12 (tptp.the_InternalRel @t2) @t107)))))) % 0.37/0.70 (assume @p36 (forall @t64 (= @t111 @t110))) % 0.37/0.70 (assume @p37 true) % 0.37/0.70 (assume @p38 (forall @t64 (=> (and @t61 @t92 @t57 @t53 @t114) (and @t113 (tptp.net_str @t112 @t3))))) % 0.37/0.70 (assume @p39 (forall @t77 (=> @t101 @t92))) % 0.37/0.70 (assume @p40 (forall @t64 (=> @t111 @t115))) % 0.37/0.70 (assume @p41 (forall @t90 (=> @t121 (forall @t120 (=> @t119 (and @t118 @t117 @t116 (tptp.net_str @t33 @t3))))))) % 0.37/0.70 (assume @p42 (forall @t77 (not (tptp.empty @t87)))) % 0.37/0.70 (assume @p43 (exists @t77 (and @t92 @t61))) % 0.37/0.70 (assume @p44 (forall @t77 (=> @t102 (not (tptp.empty @t5))))) % 0.37/0.70 (assume @p45 (forall @t90 (=> (and @t59 @t58 @t75) (tptp.closed_subset @t122 @t3)))) % 0.37/0.70 (assume @p46 (forall @t64 (=> @t115 (tptp.relation @t33)))) % 0.37/0.70 (assume @p47 (forall @t77 (=> @t92 (exists @t76 (and @t53 @t108))))) % 0.37/0.70 (assume @p48 (forall @t64 (=> (and @t61 @t92 @t57 @t54 @t53 @t114) (and @t123 @t113)))) % 0.37/0.70 (assume @p49 (forall @t64 (=> @t124 (and @t123 (tptp.transitive_relstr @t112) @t113 (tptp.directed_relstr @t112))))) % 0.37/0.70 (assume @p50 (forall @t90 (=> @t121 (exists @t120 (and @t119 @t118 @t117 (tptp.strict_net_str @t33 @t3) @t116))))) % 0.37/0.70 (assume @p51 (forall @t90 (=> @t127 (and (not (tptp.empty @t107)) (tptp.relation @t107) @t126 @t125)))) % 0.37/0.70 (assume @p52 (forall @t90 (=> (tptp.in @t3 @t2) (not (tptp.in @t2 @t3))))) % 0.37/0.70 (assume @p53 (forall @t64 (=> @t110 (= @t128 (tptp.relation_rng @t33))))) % 0.37/0.70 (assume @p54 (forall @t64 (=> @t124 (= @t129 @t112)))) % 0.37/0.70 (assume @p55 (forall @t64 (=> @t110 (tptp.element @t128 (tptp.powerset @t2))))) % 0.37/0.70 (assume @p56 (forall @t90 (=> (and @t58 @t75) (tptp.element @t122 @t74)))) % 0.37/0.70 (assume @p57 (forall @t64 (=> @t124 (and (tptp.strict_net_str @t129 @t3) (tptp.subnet @t129 @t3 @t2))))) % 0.37/0.70 (assume @p58 (forall @t77 (=> @t58 @t92))) % 0.37/0.70 (assume @p59 (forall @t77 (=> @t92 (forall @t76 (=> @t53 (tptp.rel_str @t2)))))) % 0.37/0.70 (assume @p60 (forall @t90 (=> @t127 (forall @t120 (=> (tptp.netstr_induced_subset @t33 @t3 @t2) (tptp.element @t33 @t74)))))) % 0.37/0.70 (assume @p61 (forall @t90 (=> @t109 (and @t126 @t125 (tptp.relation_of2_as_subset @t107 @t12 @t5))))) % 0.37/0.70 (assume @p62 @t239) % 0.37/0.70 (step @p63 :rule quant-merge-prenex :args ((= (forall @t64 @t264) @t262))) % 0.37/0.70 (step @p64 :rule alpha_equiv :args (@t265 (@list @t254) @t266)) % 0.37/0.70 (step @p65 :rule refl :args (@t256)) % 0.37/0.70 (step @p66 :rule refl :args (@t257)) % 0.37/0.70 (step @p67 :rule refl :args (@t258)) % 0.37/0.70 (step @p68 :rule refl :args (@t56)) % 0.37/0.70 (step @p69 :rule refl :args (@t259)) % 0.37/0.70 (step @p70 :rule refl :args (@t260)) % 0.37/0.70 (step @p71 :rule refl :args (@t60)) % 0.37/0.70 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64) :args (@t267)) % 0.37/0.70 (step @p73 :rule quant-miniscope-or 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@t247 true)) % 0.37/0.70 (step @p113 :rule refl :args (@t251)) % 0.37/0.70 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t251 (not (and @t34 @t247))))) % 0.37/0.70 (step @p115 :rule bool-and-de-morgan :args (@t250 @t34 (and @t247))) % 0.37/0.70 (step @p116 :rule trans :premises (@p115 @p114)) % 0.37/0.70 (step @p117 :rule trans :premises (@p116 @p111)) % 0.37/0.70 (step @p118 :rule cong :premises (@p117) :args (@t278)) % 0.37/0.70 (step @p119 :rule cong :premises (@p118) :args (@t279)) % 0.37/0.70 (step @p120 :rule exists-elim :args ((= (exists @t38 @t277) @t279))) % 0.37/0.70 (step @p121 :rule trans :premises (@p120 @p119)) % 0.37/0.70 (step @p122 :rule bool-double-not-elim :args (@t247)) % 0.37/0.70 (step @p123 :rule aci_norm :args ((= (or false @t248) @t248))) % 0.37/0.70 (step @p124 :rule eq-symm :args (@t240 @t246)) % 0.37/0.70 (step @p125 :rule cong :premises (@p124) :args (@t280)) % 0.37/0.70 (step @p126 :rule cong :premises (@p125) :args (@t281)) % 0.37/0.70 (step @p127 :rule evaluate :args ((not true))) % 0.37/0.70 (step @p128 :rule eq-refl :args (@t28)) % 0.37/0.70 (step @p129 :rule cong :premises (@p128) :args (@t282)) % 0.37/0.70 (step @p130 :rule trans :premises (@p129 @p127)) % 0.37/0.70 (step @p131 :rule nary_cong :premises (@p130 @p126) :args (@t283)) % 0.37/0.70 (step @p132 :rule trans :premises (@p131 @p123)) % 0.37/0.70 (step @p133 :rule quant-var-elim-eq :args ((= (forall @t31 (or (not (= @t23 @t28)) @t286 @t285)) @t283))) % 0.37/0.70 (step @p134 :rule refl :args (@t285)) % 0.37/0.70 (step @p135 :rule refl :args (@t286)) % 0.37/0.70 (step @p136 :rule eq-symm :args (@t28 @t23)) % 0.37/0.70 (step @p137 :rule cong :premises (@p136) :args (@t286)) % 0.37/0.70 (step @p138 :rule nary_cong :premises (@p137 @p135 @p134) :args (@t287)) % 0.37/0.70 (step @p139 :rule aci_norm :args ((= @t288 @t287))) % 0.37/0.70 (step @p140 :rule trans :premises (@p139 @p138)) % 0.37/0.70 (step @p141 :rule cong :premises (@p140) :args ((forall @t31 @t288))) % 0.37/0.70 (step @p142 :rule trans :premises (@p141 @p133)) % 0.37/0.70 (step @p143 :rule trans :premises (@p142 @p132)) % 0.37/0.70 (step @p144 :rule bool-and-de-morgan :args (@t29 @t284 true)) % 0.37/0.70 (step @p145 :rule cong :premises (@p144) :args (@t290)) % 0.37/0.70 (step @p146 :rule trans :premises (@p145 @p143)) % 0.37/0.70 (step @p147 :rule cong :premises (@p146) :args (@t291)) % 0.37/0.70 (step @p148 :rule trans :premises (@p147 @p122)) % 0.37/0.70 (step @p149 :rule exists-elim :args ((= (exists @t31 @t289) @t291))) % 0.37/0.70 (step @p150 :rule trans :premises (@p149 @p148)) % 0.37/0.70 (step @p151 :rule aci_norm :args ((= (and @t21 (and @t245 @t244 @t243)) @t246))) % 0.37/0.70 (step @p152 :rule bool-double-not-elim :args (@t243)) % 0.37/0.70 (step @p153 :rule bool-double-not-elim :args (@t244)) % 0.37/0.70 (step @p154 :rule bool-double-not-elim :args (@t245)) % 0.37/0.70 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152) :args (@t298)) % 0.37/0.70 (step 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(@t311)) % 0.37/0.70 (step @p186 :rule trans :premises (@p185 @p170)) % 0.37/0.70 (step @p187 :rule quant-miniscope-or :args ((= (forall @t19 @t312) @t311))) % 0.37/0.70 (step @p188 :rule aci_norm :args ((= @t313 @t312))) % 0.37/0.70 (step @p189 :rule cong :premises (@p188) :args ((forall @t19 @t313))) % 0.37/0.70 (step @p190 :rule trans :premises (@p189 @p187)) % 0.37/0.70 (step @p191 :rule trans :premises (@p190 @p186)) % 0.37/0.70 (step @p192 :rule aci_norm :args ((= (or @t307 @t314) @t313))) % 0.37/0.70 (step @p193 :rule bool-double-not-elim :args (@t314)) % 0.37/0.70 (step @p194 :rule refl :args (@t307)) % 0.37/0.70 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or @t307 (not @t315)))) % 0.37/0.70 (step @p196 :rule bool-and-de-morgan :args (@t17 @t315 true)) % 0.37/0.70 (step @p197 :rule trans :premises (@p196 @p195)) % 0.37/0.70 (step @p198 :rule trans :premises (@p197 @p192)) % 0.37/0.70 (step @p199 :rule cong :premises (@p198) :args (@t317)) % 0.37/0.70 (step @p200 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% 0.37/0.70 (step @p215 :rule refl :args (@t324)) % 0.37/0.70 (step @p216 :rule eq-symm :args (@t8 @t1)) % 0.37/0.70 (step @p217 :rule cong :premises (@p216) :args (@t323)) % 0.37/0.70 (step @p218 :rule nary_cong :premises (@p217 @p215 @p214 @p213) :args (@t325)) % 0.37/0.70 (step @p219 :rule aci_norm :args ((= @t326 @t325))) % 0.37/0.70 (step @p220 :rule trans :premises (@p219 @p218)) % 0.37/0.70 (step @p221 :rule cong :premises (@p220) :args (@t327)) % 0.37/0.70 (step @p222 :rule trans :premises (@p221 @p212)) % 0.37/0.70 (step @p223 :rule trans :premises (@p222 @p211)) % 0.37/0.70 (step @p224 :rule refl :args (@t306)) % 0.37/0.70 (step @p225 :rule nary_cong :premises (@p224 @p223) :args (@t328)) % 0.37/0.70 (step @p226 :rule trans :premises (@p225 @p204)) % 0.37/0.70 (step @p227 :rule quant-miniscope-or :args ((= (forall @t15 @t329) @t328))) % 0.37/0.70 (step @p228 :rule aci_norm :args ((= @t330 @t329))) % 0.37/0.70 (step @p229 :rule cong :premises (@p228) :args ((forall @t15 @t330))) % 0.37/0.70 (step @p230 :rule trans :premises (@p229 @p227)) % 0.37/0.70 (step @p231 :rule trans :premises (@p230 @p226)) % 0.37/0.70 (step @p232 :rule aci_norm :args ((= (or @t324 (or @t306 (or @t323 @t322))) @t330))) % 0.37/0.70 (step @p233 :rule bool-and-de-morgan :args (@t9 @t7 true)) % 0.37/0.70 (step @p234 :rule refl :args (@t306)) % 0.37/0.70 (step @p235 :rule nary_cong :premises (@p234 @p233) :args ((or @t306 (not (and @t9 @t7))))) % 0.37/0.70 (step @p236 :rule bool-and-de-morgan :args (@t11 @t9 (and @t7))) % 0.37/0.70 (step @p237 :rule trans :premises (@p236 @p235)) % 0.37/0.70 (step @p238 :rule nary_cong :premises (@p215 @p237) :args ((or @t324 (not (and @t11 @t9 @t7))))) % 0.37/0.70 (step @p239 :rule bool-and-de-morgan :args (@t13 @t11 (and @t9 @t7))) % 0.37/0.70 (step @p240 :rule trans :premises (@p239 @p238)) % 0.37/0.70 (step @p241 :rule trans :premises (@p240 @p232)) % 0.37/0.70 (step @p242 :rule cong :premises (@p241) :args (@t331)) % 0.37/0.70 (step @p243 :rule trans :premises (@p242 @p231)) % 0.37/0.70 (step @p244 :rule cong :premises (@p243) :args (@t332)) % 0.37/0.70 (step @p245 :rule exists-elim :args ((= @t16 @t332))) % 0.37/0.70 (step @p246 :rule trans :premises (@p245 @p244)) % 0.37/0.70 (step @p247 :rule refl :args (@t17)) % 0.37/0.70 (step @p248 :rule nary_cong :premises (@p247 @p246) :args (@t18)) % 0.37/0.70 (step @p249 :rule cong :premises (@p248) :args (@t20)) % 0.37/0.70 (step @p250 :rule trans :premises (@p249 @p203)) % 0.37/0.70 (step @p251 :rule refl :args (@t21)) % 0.37/0.70 (step @p252 :rule nary_cong :premises (@p251 @p250) :args (@t22)) % 0.37/0.70 (step @p253 :rule refl :args (@t24)) % 0.37/0.70 (step @p254 :rule cong :premises (@p253 @p252) :args (@t25)) % 0.37/0.70 (step @p255 :rule cong :premises (@p254) :args (@t27)) % 0.37/0.70 (step @p256 :rule trans :premises (@p255 @p169)) % 0.37/0.70 (step @p257 :rule refl :args (@t29)) % 0.37/0.70 (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t30)) % 0.37/0.70 (step @p259 :rule cong :premises (@p258) :args (@t32)) % 0.37/0.70 (step @p260 :rule trans :premises (@p259 @p150)) % 0.37/0.70 (step @p261 :rule refl :args (@t34)) % 0.37/0.70 (step @p262 :rule eq-symm :args (@t36 @t35)) % 0.37/0.70 (step @p263 :rule nary_cong :premises (@p262 @p261 @p260) :args (@t37)) % 0.37/0.70 (step @p264 :rule cong :premises (@p263) :args (@t39)) % 0.37/0.70 (step @p265 :rule trans :premises (@p264 @p121)) % 0.37/0.70 (step @p266 :rule refl :args (@t42)) % 0.37/0.70 (step @p267 :rule nary_cong :premises (@p266 @p265) :args (@t43)) % 0.37/0.70 (step @p268 :rule refl :args (@t45)) % 0.37/0.70 (step @p269 :rule cong :premises (@p268 @p267) :args (@t46)) % 0.37/0.70 (step @p270 :rule cong :premises (@p269) :args (@t48)) % 0.37/0.70 (step @p271 :rule cong :premises (@p270) :args (@t50)) % 0.37/0.70 (step @p272 :rule trans :premises (@p271 @p110)) % 0.37/0.70 (step @p273 :rule cong :premises (@p272) :args (@t52)) % 0.37/0.70 (step @p274 :rule refl :args 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(step @p841 :rule aci_norm :args ((= @t623 @t622))) % 0.37/0.70 (step @p842 :rule cong :premises (@p841) :args (@t624)) % 0.37/0.70 (step @p843 :rule trans :premises (@p842 @p840)) % 0.37/0.70 (step @p844 :rule trans :premises (@p843 @p839)) % 0.37/0.70 (step @p845 :rule refl :args (@t610)) % 0.37/0.70 (step @p846 :rule nary_cong :premises (@p845 @p844) :args (@t625)) % 0.37/0.70 (step @p847 :rule trans :premises (@p846 @p831)) % 0.37/0.70 (step @p848 :rule quant-miniscope-or :args ((= (forall @t15 @t626) @t625))) % 0.37/0.70 (step @p849 :rule aci_norm :args ((= @t627 @t626))) % 0.37/0.70 (step @p850 :rule cong :premises (@p849) :args ((forall @t15 @t627))) % 0.37/0.70 (step @p851 :rule trans :premises (@p850 @p848)) % 0.37/0.70 (step @p852 :rule trans :premises (@p851 @p847)) % 0.37/0.70 (step @p853 :rule aci_norm :args ((= (or @t621 @t628) @t627))) % 0.37/0.70 (step @p854 :rule bool-double-not-elim :args (@t628)) % 0.37/0.70 (step @p855 :rule refl :args (@t621)) % 0.37/0.70 (step @p856 :rule nary_cong :premises (@p855 @p854) :args ((or @t621 (not @t629)))) % 0.37/0.70 (step @p857 :rule bool-and-de-morgan :args (@t215 @t629 true)) % 0.37/0.70 (step @p858 :rule trans :premises (@p857 @p856)) % 0.37/0.70 (step @p859 :rule trans :premises (@p858 @p853)) % 0.37/0.70 (step @p860 :rule cong :premises (@p859) :args (@t631)) % 0.37/0.70 (step @p861 :rule trans :premises (@p860 @p852)) % 0.37/0.70 (step @p862 :rule cong :premises (@p861) :args (@t632)) % 0.37/0.70 (step @p863 :rule exists-elim :args ((= (exists @t15 @t630) @t632))) % 0.37/0.70 (step @p864 :rule trans :premises (@p863 @p862)) % 0.37/0.70 (step @p865 :rule aci_norm :args ((= (or @t620 @t633) @t628))) % 0.37/0.70 (step @p866 :rule aci_norm :args ((= (or @t610 false @t619) @t633))) % 0.37/0.70 (step @p867 :rule refl :args (@t619)) % 0.37/0.70 (step @p868 :rule eq-refl :args (@t6)) % 0.37/0.70 (step @p869 :rule cong :premises (@p868) :args (@t634)) % 0.37/0.70 (step @p870 :rule trans :premises (@p869 @p127)) % 0.37/0.70 (step @p871 :rule nary_cong :premises (@p845 @p870 @p867) :args (@t635)) % 0.37/0.70 (step @p872 :rule trans :premises (@p871 @p866)) % 0.37/0.70 (step @p873 :rule quant-var-elim-eq :args ((= (forall @t213 (or (not (= @t206 @t6)) @t638 @t637 @t636)) @t635))) % 0.37/0.70 (step @p874 :rule refl :args (@t636)) % 0.37/0.70 (step @p875 :rule refl :args (@t637)) % 0.37/0.70 (step @p876 :rule refl :args (@t638)) % 0.37/0.70 (step @p877 :rule eq-symm :args (@t6 @t206)) % 0.37/0.70 (step @p878 :rule cong :premises (@p877) :args (@t637)) % 0.37/0.70 (step @p879 :rule nary_cong :premises (@p878 @p876 @p875 @p874) :args (@t639)) % 0.37/0.70 (step @p880 :rule aci_norm :args ((= @t640 @t639))) % 0.37/0.70 (step @p881 :rule trans :premises (@p880 @p879)) % 0.37/0.70 (step @p882 :rule cong :premises (@p881) :args (@t641)) % 0.37/0.70 (step @p883 :rule trans :premises (@p882 @p873)) % 0.37/0.70 (step @p884 :rule trans :premises (@p883 @p872)) % 0.37/0.70 (step @p885 :rule refl :args (@t620)) % 0.37/0.70 (step @p886 :rule nary_cong :premises (@p885 @p884) :args (@t642)) % 0.37/0.70 (step @p887 :rule trans :premises (@p886 @p865)) % 0.37/0.70 (step @p888 :rule quant-miniscope-or :args ((= (forall @t213 @t643) @t642))) % 0.37/0.70 (step @p889 :rule aci_norm :args ((= @t644 @t643))) % 0.37/0.70 (step @p890 :rule cong :premises (@p889) :args ((forall @t213 @t644))) % 0.37/0.70 (step @p891 :rule trans :premises (@p890 @p888)) % 0.37/0.70 (step @p892 :rule trans :premises (@p891 @p887)) % 0.37/0.70 (step @p893 :rule aci_norm :args ((= (or @t638 (or @t620 (or @t637 @t636))) @t644))) % 0.37/0.70 (step @p894 :rule bool-and-de-morgan :args (@t209 @t208 true)) % 0.37/0.70 (step @p895 :rule refl :args (@t620)) % 0.37/0.70 (step @p896 :rule nary_cong :premises (@p895 @p894) :args ((or @t620 (not (and @t209 @t208))))) % 0.37/0.70 (step @p897 :rule bool-and-de-morgan :args (@t210 @t209 (and @t208))) % 0.37/0.70 (step @p898 :rule trans :premises (@p897 @p896)) % 0.37/0.70 (step @p899 :rule nary_cong :premises (@p876 @p898) :args ((or @t638 (not (and @t210 @t209 @t208))))) % 0.37/0.70 (step @p900 :rule bool-and-de-morgan :args (@t211 @t210 (and @t209 @t208))) % 0.37/0.70 (step @p901 :rule trans :premises (@p900 @p899)) % 0.37/0.70 (step @p902 :rule trans :premises (@p901 @p893)) % 0.37/0.70 (step @p903 :rule cong :premises (@p902) :args (@t645)) % 0.37/0.70 (step @p904 :rule trans :premises (@p903 @p892)) % 0.37/0.70 (step @p905 :rule cong :premises (@p904) :args (@t646)) % 0.37/0.70 (step @p906 :rule exists-elim :args ((= @t214 @t646))) % 0.37/0.70 (step @p907 :rule trans :premises (@p906 @p905)) % 0.37/0.70 (step @p908 :rule refl :args (@t215)) % 0.37/0.70 (step @p909 :rule nary_cong :premises (@p908 @p907) :args (@t216)) % 0.37/0.70 (step @p910 :rule cong :premises (@p909) :args (@t217)) % 0.37/0.70 (step @p911 :rule trans :premises (@p910 @p864)) % 0.37/0.70 (step @p912 :rule nary_cong :premises (@p572 @p911) :args (@t219)) % 0.37/0.70 (step @p913 :rule refl :args (@t220)) % 0.37/0.70 (step @p914 :rule cong :premises (@p913 @p912) :args (@t221)) % 0.37/0.70 (step @p915 :rule cong :premises (@p914) :args (@t222)) % 0.37/0.70 (step @p916 :rule trans :premises (@p915 @p830)) % 0.37/0.70 (step @p917 :rule refl :args (@t223)) % 0.37/0.70 (step @p918 :rule nary_cong :premises (@p917 @p916) :args (@t224)) % 0.37/0.70 (step @p919 :rule cong :premises (@p918) :args (@t225)) % 0.37/0.70 (step @p920 :rule trans :premises (@p919 @p811)) % 0.37/0.70 (step @p921 :rule refl :args (@t226)) % 0.37/0.70 (step @p922 :rule eq-symm :args (@t227 @t35)) % 0.37/0.70 (step @p923 :rule nary_cong :premises (@p922 @p921 @p920) :args (@t228)) % 0.37/0.70 (step @p924 :rule cong :premises (@p923) :args (@t230)) % 0.37/0.70 (step @p925 :rule trans :premises (@p924 @p783)) % 0.37/0.70 (step @p926 :rule refl :args (@t231)) % 0.37/0.70 (step @p927 :rule nary_cong :premises (@p926 @p925 @p772 @p771) :args (@t232)) % 0.37/0.70 (step @p928 :rule cong :premises (@p927 @p540) :args (@t233)) % 0.37/0.70 (step @p929 :rule cong :premises (@p928) :args (@t235)) % 0.37/0.70 (step @p930 :rule trans :premises (@p929 @p618)) % 0.37/0.70 (step @p931 :rule cong :premises (@p930 @p528) :args (@t236)) % 0.37/0.70 (step @p932 :rule trans :premises (@p931 @p317)) % 0.37/0.70 (step @p933 :rule cong :premises (@p932) :args (@t237)) % 0.37/0.70 (step @p934 :rule cong :premises (@p274 @p933) :args (@t238)) % 0.37/0.70 (step @p935 :rule cong :premises (@p934) :args (@t239)) % 0.37/0.70 (step @p936 :rule trans :premises (@p935 @p316)) % 0.37/0.70 (step @p937 :rule eq_resolve :premises (@p62 @p936)) % 0.37/0.70 (step @p938 false :rule chain_m_resolution :premises (@p937 @p300) :args (false @t374 (@list @t359))) % 0.37/0.70 ) % 0.37/0.70 % SZS output end Proof % 0.37/0.70 % cvc5 exiting %------------------------------------------------------------------------------