%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU372+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 : n022.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 08:51:33 AM UTC 2026 % Result : Theorem 33.85s 34.91s % Output : Proof 33.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU372+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.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 17:03:38 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 33.85/34.91 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.85/34.91 --- Run --no-e-matching --full-saturate-quant at 6... % 33.85/34.91 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.85/34.91 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.85/34.91 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.85/34.91 % SZS status Theorem % 33.85/34.91 % SZS output start Proof % 33.85/34.91 ( % 33.85/34.91 (declare-sort $$unsorted 0) % 33.85/34.91 (declare-const tptp.empty_set $$unsorted) % 33.85/34.91 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 33.85/34.91 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 33.85/34.91 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.85/34.91 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 33.85/34.91 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 33.85/34.91 (declare-const tptp.function (-> $$unsorted Bool)) % 33.85/34.91 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.85/34.91 (declare-const tptp.relation (-> $$unsorted Bool)) % 33.85/34.91 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 33.85/34.91 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 33.85/34.91 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 33.85/34.91 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.85/34.91 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 33.85/34.91 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 33.85/34.91 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 33.85/34.91 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 33.85/34.91 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 33.85/34.91 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 33.85/34.91 (declare-const tptp.top_str (-> $$unsorted Bool)) % 33.85/34.91 (define @t1 () (@var "A" $$unsorted)) % 33.85/34.91 (define @t2 () (@var "B" $$unsorted)) % 33.85/34.91 (define @t3 () (tptp.in @t1 @t2)) % 33.85/34.91 (define @t4 () (@list @t1 @t2)) % 33.85/34.91 (define @t5 () (tptp.function @t1)) % 33.85/34.91 (define @t6 () (tptp.empty @t1)) % 33.85/34.91 (define @t7 () (@list @t1)) % 33.85/34.91 (define @t8 () (tptp.relation @t1)) % 33.85/34.91 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 33.85/34.91 (define @t10 () (and @t8 @t6 @t5)) % 33.85/34.91 (define @t11 () (@var "E" $$unsorted)) % 33.85/34.91 (define @t12 () (tptp.disjoint @t2 @t11)) % 33.85/34.91 (define @t13 () (@var "D" $$unsorted)) % 33.85/34.91 (define @t14 () (tptp.in @t13 @t11)) % 33.85/34.91 (define @t15 () (tptp.open_subset @t11 @t1)) % 33.85/34.91 (define @t16 () (not (and @t15 @t14 @t12))) % 33.85/34.91 (define @t17 () (tptp.the_carrier @t1)) % 33.85/34.91 (define @t18 () (tptp.powerset @t17)) % 33.85/34.91 (define @t19 () (tptp.element @t11 @t18)) % 33.85/34.91 (define @t20 () (@list @t11)) % 33.85/34.91 (define @t21 () (forall @t20 (=> @t19 @t16))) % 33.85/34.91 (define @t22 () (@var "C" $$unsorted)) % 33.85/34.91 (define @t23 () (tptp.in @t13 @t22)) % 33.85/34.91 (define @t24 () (= @t23 @t21)) % 33.85/34.91 (define @t25 () (tptp.in @t13 @t17)) % 33.85/34.91 (define @t26 () (=> @t25 @t24)) % 33.85/34.91 (define @t27 () (@list @t13)) % 33.85/34.91 (define @t28 () (forall @t27 @t26)) % 33.85/34.91 (define @t29 () (tptp.topstr_closure @t1 @t2)) % 33.85/34.91 (define @t30 () (= @t22 @t29)) % 33.85/34.91 (define @t31 () (= @t30 @t28)) % 33.85/34.91 (define @t32 () (tptp.element @t22 @t18)) % 33.85/34.91 (define @t33 () (=> @t32 @t31)) % 33.85/34.91 (define @t34 () (@list @t22)) % 33.85/34.91 (define @t35 () (forall @t34 @t33)) % 33.85/34.91 (define @t36 () (tptp.element @t2 @t18)) % 33.85/34.91 (define @t37 () (=> @t36 @t35)) % 33.85/34.91 (define @t38 () (@list @t2)) % 33.85/34.91 (define @t39 () (forall @t38 @t37)) % 33.85/34.91 (define @t40 () (tptp.top_str @t1)) % 33.85/34.91 (define @t41 () (=> @t40 @t39)) % 33.85/34.91 (define @t42 () (forall @t7 @t41)) % 33.85/34.91 (define @t43 () (tptp.point_neighbourhood @t22 @t1 @t2)) % 33.85/34.91 (define @t44 () (= @t43 (tptp.in @t2 (tptp.interior @t1 @t22)))) % 33.85/34.91 (define @t45 () (forall @t34 (=> @t32 @t44))) % 33.85/34.91 (define @t46 () (tptp.element @t2 @t17)) % 33.85/34.91 (define @t47 () (=> @t46 @t45)) % 33.85/34.91 (define @t48 () (forall @t38 @t47)) % 33.85/34.91 (define @t49 () (tptp.topological_space @t1)) % 33.85/34.91 (define @t50 () (tptp.empty_carrier @t1)) % 33.85/34.91 (define @t51 () (not @t50)) % 33.85/34.91 (define @t52 () (and @t51 @t49 @t40)) % 33.85/34.91 (define @t53 () (=> @t52 @t48)) % 33.85/34.91 (define @t54 () (forall @t7 @t53)) % 33.85/34.91 (define @t55 () (tptp.interior @t1 @t2)) % 33.85/34.91 (define @t56 () (tptp.element @t55 @t18)) % 33.85/34.91 (define @t57 () (and @t40 @t36)) % 33.85/34.91 (define @t58 () (forall @t4 (=> @t57 @t56))) % 33.85/34.91 (define @t59 () (tptp.element @t29 @t18)) % 33.85/34.91 (define @t60 () (forall @t4 (=> @t57 @t59))) % 33.85/34.91 (define @t61 () (tptp.one_sorted_str @t1)) % 33.85/34.91 (define @t62 () (forall @t7 (=> @t40 @t61))) % 33.85/34.91 (define @t63 () (forall @t34 (=> @t43 @t32))) % 33.85/34.91 (define @t64 () (and @t51 @t49 @t40 @t46)) % 33.85/34.91 (define @t65 () (=> @t64 @t63)) % 33.85/34.91 (define @t66 () (forall @t4 @t65)) % 33.85/34.91 (define @t67 () (tptp.relation tptp.empty_set)) % 33.85/34.91 (define @t68 () (tptp.empty tptp.empty_set)) % 33.85/34.91 (define @t69 () (not (tptp.empty @t17))) % 33.85/34.91 (define @t70 () (and @t51 @t61)) % 33.85/34.91 (define @t71 () (forall @t7 (=> @t70 @t69))) % 33.85/34.91 (define @t72 () (tptp.powerset @t1)) % 33.85/34.91 (define @t73 () (tptp.relation_empty_yielding @t1)) % 33.85/34.91 (define @t74 () (tptp.empty @t2)) % 33.85/34.91 (define @t75 () (not @t74)) % 33.85/34.91 (define @t76 () (tptp.element @t2 @t72)) % 33.85/34.91 (define @t77 () (not @t6)) % 33.85/34.91 (define @t78 () (tptp.disjoint @t2 @t1)) % 33.85/34.91 (define @t79 () (tptp.disjoint @t1 @t2)) % 33.85/34.91 (define @t80 () (forall @t4 (=> @t79 @t78))) % 33.85/34.91 (define @t81 () (tptp.element @t1 @t2)) % 33.85/34.91 (define @t82 () (or @t74 @t3)) % 33.85/34.91 (define @t83 () (forall @t4 (=> @t81 @t82))) % 33.85/34.91 (define @t84 () (tptp.subset @t1 @t2)) % 33.85/34.91 (define @t85 () (tptp.subset @t55 @t2)) % 33.85/34.91 (define @t86 () (forall @t38 (=> @t36 @t85))) % 33.85/34.91 (define @t87 () (=> @t40 @t86)) % 33.85/34.91 (define @t88 () (forall @t7 @t87)) % 33.85/34.91 (define @t89 () (tptp.element @t2 (tptp.powerset @t22))) % 33.85/34.91 (define @t90 () (@list @t1 @t2 @t22)) % 33.85/34.91 (define @t91 () (tptp.open_subset @t55 @t1)) % 33.85/34.91 (define @t92 () (forall @t38 (=> @t36 @t91))) % 33.85/34.91 (define @t93 () (and @t49 @t40)) % 33.85/34.91 (define @t94 () (=> @t93 @t92)) % 33.85/34.91 (define @t95 () (forall @t7 @t94)) % 33.85/34.91 (define @t96 () (tptp.point_neighbourhood @t2 @t1 @t22)) % 33.85/34.91 (define @t97 () (tptp.in @t22 @t2)) % 33.85/34.91 (define @t98 () (tptp.open_subset @t2 @t1)) % 33.85/34.91 (define @t99 () (and @t98 @t97)) % 33.85/34.91 (define @t100 () (=> @t99 @t96)) % 33.85/34.91 (define @t101 () (tptp.element @t22 @t17)) % 33.85/34.91 (define @t102 () (forall @t34 (=> @t101 @t100))) % 33.85/34.91 (define @t103 () (=> @t36 @t102)) % 33.85/34.91 (define @t104 () (forall @t38 @t103)) % 33.85/34.91 (define @t105 () (=> @t52 @t104)) % 33.85/34.91 (define @t106 () (forall @t7 @t105)) % 33.85/34.91 (define @t107 () (tptp.disjoint @t1 @t22)) % 33.85/34.91 (define @t108 () (tptp.disjoint @t2 @t22)) % 33.85/34.91 (define @t109 () (and @t84 @t108)) % 33.85/34.91 (define @t110 () (forall @t90 (=> @t109 @t107))) % 33.85/34.91 (define @t111 () (not (tptp.disjoint @t13 @t2))) % 33.85/34.91 (define @t112 () (tptp.point_neighbourhood @t13 @t1 @t22)) % 33.85/34.91 (define @t113 () (forall @t27 (=> @t112 @t111))) % 33.85/34.91 (define @t114 () (tptp.in @t22 @t29)) % 33.85/34.91 (define @t115 () (= @t114 @t113)) % 33.85/34.91 (define @t116 () (=> @t101 @t115)) % 33.85/34.91 (define @t117 () (forall @t34 @t116)) % 33.85/34.91 (define @t118 () (=> @t36 @t117)) % 33.85/34.91 (define @t119 () (forall @t38 @t118)) % 33.85/34.91 (define @t120 () (=> @t52 @t119)) % 33.85/34.91 (define @t121 () (forall @t7 @t120)) % 33.85/34.91 (define @t122 () (not @t121)) % 33.85/34.91 (define @t123 () (@var "BOUND_VARIABLE_8032" $$unsorted)) % 33.85/34.91 (define @t124 () (@var "BOUND_VARIABLE_8030" $$unsorted)) % 33.85/34.91 (define @t125 () (tptp.point_neighbourhood @t124 @t1 @t123)) % 33.85/34.91 (define @t126 () (not (tptp.in @t123 @t124))) % 33.85/34.91 (define @t127 () (not (tptp.element @t123 @t17))) % 33.85/34.91 (define @t128 () (not (tptp.open_subset @t124 @t1))) % 33.85/34.91 (define @t129 () (not (tptp.element @t124 @t18))) % 33.85/34.91 (define @t130 () (not @t40)) % 33.85/34.91 (define @t131 () (not @t49)) % 33.85/34.91 (define @t132 () (or @t50 @t131 @t130 @t129 @t128 @t127 @t126 @t125)) % 33.85/34.91 (define @t133 () (or @t129 @t128 @t127 @t126 @t125)) % 33.85/34.91 (define @t134 () (or @t50 @t131 @t130 @t133)) % 33.85/34.91 (define @t135 () (@list @t1 @t124 @t123)) % 33.85/34.91 (define @t136 () (forall @t135 @t134)) % 33.85/34.91 (define @t137 () (@list @t124 @t123)) % 33.85/34.91 (define @t138 () (forall @t137 @t134)) % 33.85/34.91 (define @t139 () (forall @t137 @t133)) % 33.85/34.91 (define @t140 () (@var "BOUND_VARIABLE_8013" $$unsorted)) % 33.85/34.91 (define @t141 () (or @t50 @t131 @t130 @t139)) % 33.85/34.91 (define @t142 () (tptp.point_neighbourhood @t2 @t1 @t140)) % 33.85/34.91 (define @t143 () (not (tptp.in @t140 @t2))) % 33.85/34.91 (define @t144 () (not (tptp.element @t140 @t17))) % 33.85/34.91 (define @t145 () (not @t98)) % 33.85/34.91 (define @t146 () (not @t36)) % 33.85/34.91 (define @t147 () (or @t146 @t145 @t144 @t143 @t142)) % 33.85/34.91 (define @t148 () (@list @t2 @t140)) % 33.85/34.91 (define @t149 () (forall @t148 @t147)) % 33.85/34.91 (define @t150 () (or @t50 @t131 @t130 @t149)) % 33.85/34.91 (define @t151 () (or @t50 @t131 @t130)) % 33.85/34.91 (define @t152 () (not @t51)) % 33.85/34.91 (define @t153 () (or @t152 @t131 @t130)) % 33.85/34.91 (define @t154 () (or @t131 @t130)) % 33.85/34.91 (define @t155 () (not @t93)) % 33.85/34.91 (define @t156 () (not @t52)) % 33.85/34.91 (define @t157 () (or @t144 @t143 @t142)) % 33.85/34.91 (define @t158 () (or @t146 @t145 @t157)) % 33.85/34.91 (define @t159 () (forall @t148 @t158)) % 33.85/34.91 (define @t160 () (@list @t140)) % 33.85/34.91 (define @t161 () (forall @t160 @t158)) % 33.85/34.91 (define @t162 () (forall @t160 @t157)) % 33.85/34.91 (define @t163 () (@list @t22)) % 33.85/34.91 (define @t164 () (or @t146 @t145 @t162)) % 33.85/34.91 (define @t165 () (not @t97)) % 33.85/34.91 (define @t166 () (not @t101)) % 33.85/34.91 (define @t167 () (or @t166 @t165 @t96)) % 33.85/34.91 (define @t168 () (forall @t34 @t167)) % 33.85/34.91 (define @t169 () (or @t146 @t145 @t168)) % 33.85/34.91 (define @t170 () (or @t145 @t168)) % 33.85/34.91 (define @t171 () (or @t145 @t167)) % 33.85/34.91 (define @t172 () (or @t166 @t145 @t165 @t96)) % 33.85/34.91 (define @t173 () (or @t145 @t165 @t96)) % 33.85/34.91 (define @t174 () (@var "BOUND_VARIABLE_8096" $$unsorted)) % 33.85/34.91 (define @t175 () (@var "BOUND_VARIABLE_8098" $$unsorted)) % 33.85/34.91 (define @t176 () (= (tptp.in @t175 (tptp.topstr_closure @t1 @t174)) (forall @t27 (or (not (tptp.point_neighbourhood @t13 @t1 @t175)) (not (tptp.disjoint @t13 @t174)))))) % 33.85/34.91 (define @t177 () (not (tptp.element @t175 @t17))) % 33.85/34.91 (define @t178 () (not (tptp.element @t174 @t18))) % 33.85/34.91 (define @t179 () (or @t50 @t131 @t130 @t178 @t177 @t176)) % 33.85/34.91 (define @t180 () (or @t178 @t177 @t176)) % 33.85/34.91 (define @t181 () (or @t50 @t131 @t130 @t180)) % 33.85/34.91 (define @t182 () (@list @t1 @t174 @t175)) % 33.85/34.91 (define @t183 () (forall @t182 @t181)) % 33.85/34.91 (define @t184 () (@list @t174 @t175)) % 33.85/34.91 (define @t185 () (forall @t184 @t181)) % 33.85/34.91 (define @t186 () (forall @t184 @t180)) % 33.85/34.91 (define @t187 () (@var "BOUND_VARIABLE_8076" $$unsorted)) % 33.85/34.91 (define @t188 () (or @t50 @t131 @t130 @t186)) % 33.85/34.91 (define @t189 () (= (tptp.in @t187 @t29) (forall @t27 (or (not (tptp.point_neighbourhood @t13 @t1 @t187)) @t111)))) % 33.85/34.91 (define @t190 () (not (tptp.element @t187 @t17))) % 33.85/34.91 (define @t191 () (or @t146 @t190 @t189)) % 33.85/34.91 (define @t192 () (@list @t2 @t187)) % 33.85/34.91 (define @t193 () (forall @t192 @t191)) % 33.85/34.91 (define @t194 () (or @t50 @t131 @t130 @t193)) % 33.85/34.91 (define @t195 () (or @t190 @t189)) % 33.85/34.91 (define @t196 () (or @t146 @t195)) % 33.85/34.91 (define @t197 () (forall @t192 @t196)) % 33.85/34.91 (define @t198 () (@list @t187)) % 33.85/34.91 (define @t199 () (forall @t198 @t196)) % 33.85/34.91 (define @t200 () (forall @t198 @t195)) % 33.85/34.91 (define @t201 () (or @t146 @t200)) % 33.85/34.91 (define @t202 () (= @t114 (forall @t27 (or (not @t112) @t111)))) % 33.85/34.91 (define @t203 () (forall @t34 (or @t166 @t202))) % 33.85/34.91 (define @t204 () (forall @t182 @t179)) % 33.85/34.91 (define @t205 () (@quantifiers_skolemize @t204 1)) % 33.85/34.91 (define @t206 () (@quantifiers_skolemize @t204 2)) % 33.85/34.91 (define @t207 () (@quantifiers_skolemize @t204 0)) % 33.85/34.91 (define @t208 () (forall @t27 (or (not (tptp.point_neighbourhood @t13 @t207 @t206)) (not (tptp.disjoint @t13 @t205))))) % 33.85/34.91 (define @t209 () (tptp.topstr_closure @t207 @t205)) % 33.85/34.91 (define @t210 () (tptp.in @t206 @t209)) % 33.85/34.91 (define @t211 () (= @t210 @t208)) % 33.85/34.91 (define @t212 () (tptp.the_carrier @t207)) % 33.85/34.91 (define @t213 () (tptp.element @t206 @t212)) % 33.85/34.91 (define @t214 () (not @t213)) % 33.85/34.91 (define @t215 () (tptp.powerset @t212)) % 33.85/34.91 (define @t216 () (tptp.element @t205 @t215)) % 33.85/34.91 (define @t217 () (not @t216)) % 33.85/34.91 (define @t218 () (tptp.top_str @t207)) % 33.85/34.91 (define @t219 () (not @t218)) % 33.85/34.91 (define @t220 () (tptp.topological_space @t207)) % 33.85/34.91 (define @t221 () (not @t220)) % 33.85/34.91 (define @t222 () (tptp.empty_carrier @t207)) % 33.85/34.91 (define @t223 () (or @t222 @t221 @t219 @t217 @t214 @t211)) % 33.85/34.91 (define @t224 () (@list true)) % 33.85/34.91 (define @t225 () (@list @t223)) % 33.85/34.91 (define @t226 () (@var "BOUND_VARIABLE_7719" $$unsorted)) % 33.85/34.91 (define @t227 () (tptp.topstr_closure @t1 @t226)) % 33.85/34.91 (define @t228 () (@var "BOUND_VARIABLE_7721" $$unsorted)) % 33.85/34.91 (define @t229 () (= @t228 @t227)) % 33.85/34.91 (define @t230 () (not @t14)) % 33.85/34.91 (define @t231 () (not @t15)) % 33.85/34.91 (define @t232 () (not @t19)) % 33.85/34.91 (define @t233 () (not @t25)) % 33.85/34.91 (define @t234 () (forall @t27 (or @t233 (= (forall @t20 (or @t232 @t231 @t230 (not (tptp.disjoint @t226 @t11)))) (tptp.in @t13 @t228))))) % 33.85/34.91 (define @t235 () (= (= @t227 @t228) @t234)) % 33.85/34.91 (define @t236 () (not (tptp.element @t228 @t18))) % 33.85/34.91 (define @t237 () (not (tptp.element @t226 @t18))) % 33.85/34.91 (define @t238 () (or @t130 @t237 @t236 @t235)) % 33.85/34.91 (define @t239 () (or @t237 @t236 @t235)) % 33.85/34.91 (define @t240 () (or @t130 @t239)) % 33.85/34.91 (define @t241 () (@list @t1 @t226 @t228)) % 33.85/34.91 (define @t242 () (forall @t241 @t240)) % 33.85/34.91 (define @t243 () (@list @t226 @t228)) % 33.85/34.91 (define @t244 () (forall @t243 @t240)) % 33.85/34.91 (define @t245 () (forall @t243 @t239)) % 33.85/34.91 (define @t246 () (@var "BOUND_VARIABLE_7692" $$unsorted)) % 33.85/34.91 (define @t247 () (or @t130 @t245)) % 33.85/34.91 (define @t248 () (tptp.in @t13 @t246)) % 33.85/34.91 (define @t249 () (not @t12)) % 33.85/34.91 (define @t250 () (or @t232 @t231 @t230 @t249)) % 33.85/34.91 (define @t251 () (forall @t20 @t250)) % 33.85/34.91 (define @t252 () (not (tptp.element @t246 @t18))) % 33.85/34.91 (define @t253 () (@list @t2 @t246)) % 33.85/34.91 (define @t254 () (forall @t253 (or @t146 @t252 (= (= @t29 @t246) (forall @t27 (or @t233 (= @t251 @t248))))))) % 33.85/34.91 (define @t255 () (or @t233 (= @t248 @t251))) % 33.85/34.91 (define @t256 () (forall @t27 @t255)) % 33.85/34.91 (define @t257 () (= (= @t246 @t29) @t256)) % 33.85/34.91 (define @t258 () (or @t146 @t252 @t257)) % 33.85/34.91 (define @t259 () (or @t252 @t257)) % 33.85/34.91 (define @t260 () (or @t146 @t259)) % 33.85/34.91 (define @t261 () (forall @t253 @t260)) % 33.85/34.91 (define @t262 () (@list @t246)) % 33.85/34.91 (define @t263 () (forall @t262 @t260)) % 33.85/34.91 (define @t264 () (forall @t262 @t259)) % 33.85/34.91 (define @t265 () (or @t146 @t264)) % 33.85/34.91 (define @t266 () (= @t23 @t251)) % 33.85/34.91 (define @t267 () (= @t30 (forall @t27 (or @t233 @t266)))) % 33.85/34.91 (define @t268 () (not @t32)) % 33.85/34.91 (define @t269 () (forall @t34 (or @t268 @t267))) % 33.85/34.91 (define @t270 () (or @t231 @t230 @t249)) % 33.85/34.91 (define @t271 () (not (tptp.disjoint @t205 @t11))) % 33.85/34.91 (define @t272 () (not (tptp.open_subset @t11 @t207))) % 33.85/34.91 (define @t273 () (not (tptp.element @t11 @t215))) % 33.85/34.91 (define @t274 () (forall @t27 (or (not (tptp.in @t13 @t212)) (= (forall @t20 (or @t273 @t272 @t230 @t271)) (tptp.in @t13 @t209))))) % 33.85/34.91 (define @t275 () (= @t274 (= @t209 @t209))) % 33.85/34.91 (define @t276 () (tptp.element @t209 @t215)) % 33.85/34.91 (define @t277 () (not @t276)) % 33.85/34.91 (define @t278 () (or @t219 @t217 @t277 @t275)) % 33.85/34.91 (define @t279 () (forall @t241 (or @t130 @t237 @t236 (= @t234 @t229)))) % 33.85/34.91 (define @t280 () (or @t219 @t217 @t277 @t274)) % 33.85/34.91 (define @t281 () (@list false)) % 33.85/34.91 (define @t282 () (or @t130 @t146)) % 33.85/34.91 (define @t283 () (not @t57)) % 33.85/34.91 (define @t284 () (or @t219 @t217 @t276)) % 33.85/34.91 (define @t285 () (forall @t20 (or @t273 @t272 (not (tptp.in @t206 @t11)) @t271))) % 33.85/34.91 (define @t286 () (tptp.in @t206 @t212)) % 33.85/34.91 (define @t287 () (not @t286)) % 33.85/34.91 (define @t288 () (or @t287 (= @t285 @t210))) % 33.85/34.91 (define @t289 () (= @t210 @t285)) % 33.85/34.91 (define @t290 () (or @t287 @t289)) % 33.85/34.91 (define @t291 () (not @t81)) % 33.85/34.91 (define @t292 () (not @t61)) % 33.85/34.91 (define @t293 () (@list @t207)) % 33.85/34.91 (define @t294 () (tptp.one_sorted_str @t207)) % 33.85/34.91 (define @t295 () (or @t219 @t294)) % 33.85/34.91 (define @t296 () (@list false false)) % 33.85/34.91 (define @t297 () (tptp.empty @t212)) % 33.85/34.91 (define @t298 () (not @t297)) % 33.85/34.91 (define @t299 () (not @t294)) % 33.85/34.91 (define @t300 () (or @t222 @t299 @t298)) % 33.85/34.91 (define @t301 () (or @t214 @t297 @t286)) % 33.85/34.91 (define @t302 () (not @t289)) % 33.85/34.91 (define @t303 () (not @t210)) % 33.85/34.91 (define @t304 () (@quantifiers_skolemize @t208 0)) % 33.85/34.91 (define @t305 () (tptp.disjoint @t304 @t205)) % 33.85/34.91 (define @t306 () (not @t305)) % 33.85/34.91 (define @t307 () (tptp.point_neighbourhood @t304 @t207 @t206)) % 33.85/34.91 (define @t308 () (not @t307)) % 33.85/34.91 (define @t309 () (or @t308 @t306)) % 33.85/34.91 (define @t310 () (not @t309)) % 33.85/34.91 (define @t311 () (not @t208)) % 33.85/34.91 (define @t312 () (tptp.interior @t207 @t304)) % 33.85/34.91 (define @t313 () (tptp.disjoint @t205 @t312)) % 33.85/34.91 (define @t314 () (not @t313)) % 33.85/34.91 (define @t315 () (tptp.in @t206 @t312)) % 33.85/34.91 (define @t316 () (not @t315)) % 33.85/34.91 (define @t317 () (tptp.open_subset @t312 @t207)) % 33.85/34.91 (define @t318 () (not @t317)) % 33.85/34.91 (define @t319 () (tptp.element @t312 @t215)) % 33.85/34.91 (define @t320 () (not @t319)) % 33.85/34.91 (define @t321 () (or @t320 @t318 @t316 @t314)) % 33.85/34.91 (define @t322 () (@var "BOUND_VARIABLE_7816" $$unsorted)) % 33.85/34.91 (define @t323 () (tptp.element @t322 @t18)) % 33.85/34.91 (define @t324 () (not (tptp.point_neighbourhood @t322 @t1 @t2))) % 33.85/34.91 (define @t325 () (not @t46)) % 33.85/34.91 (define @t326 () (or @t324 @t323)) % 33.85/34.91 (define @t327 () (or @t50 @t131 @t130 @t325 @t326)) % 33.85/34.91 (define @t328 () (forall (@list @t1 @t2 @t322) @t327)) % 33.85/34.91 (define @t329 () (@list @t322)) % 33.85/34.91 (define @t330 () (forall @t329 @t327)) % 33.85/34.91 (define @t331 () (forall @t329 @t326)) % 33.85/34.91 (define @t332 () (or @t50 @t131 @t130 @t325 @t331)) % 33.85/34.91 (define @t333 () (forall @t34 (or (not @t43) @t32))) % 33.85/34.91 (define @t334 () (or @t50 @t131 @t130 @t325 @t333)) % 33.85/34.91 (define @t335 () (or @t152 @t131 @t130 @t325)) % 33.85/34.91 (define @t336 () (@list @t207 @t206 @t304)) % 33.85/34.91 (define @t337 () (tptp.element @t304 @t215)) % 33.85/34.91 (define @t338 () (or @t222 @t221 @t219 @t214 @t308 @t337)) % 33.85/34.91 (define @t339 () (@var "BOUND_VARIABLE_7779" $$unsorted)) % 33.85/34.91 (define @t340 () (@var "BOUND_VARIABLE_7777" $$unsorted)) % 33.85/34.91 (define @t341 () (= (tptp.point_neighbourhood @t339 @t1 @t340) (tptp.in @t340 (tptp.interior @t1 @t339)))) % 33.85/34.91 (define @t342 () (not (tptp.element @t339 @t18))) % 33.85/34.91 (define @t343 () (not (tptp.element @t340 @t17))) % 33.85/34.91 (define @t344 () (or @t343 @t342 @t341)) % 33.85/34.91 (define @t345 () (or @t50 @t131 @t130 @t344)) % 33.85/34.91 (define @t346 () (forall (@list @t1 @t340 @t339) @t345)) % 33.85/34.91 (define @t347 () (@list @t340 @t339)) % 33.85/34.91 (define @t348 () (forall @t347 @t345)) % 33.85/34.91 (define @t349 () (forall @t347 @t344)) % 33.85/34.91 (define @t350 () (@var "BOUND_VARIABLE_7756" $$unsorted)) % 33.85/34.91 (define @t351 () (or @t50 @t131 @t130 @t349)) % 33.85/34.91 (define @t352 () (= (tptp.point_neighbourhood @t350 @t1 @t2) (tptp.in @t2 (tptp.interior @t1 @t350)))) % 33.85/34.91 (define @t353 () (not (tptp.element @t350 @t18))) % 33.85/34.91 (define @t354 () (or @t325 @t353 @t352)) % 33.85/34.91 (define @t355 () (@list @t2 @t350)) % 33.85/34.91 (define @t356 () (forall @t355 @t354)) % 33.85/34.91 (define @t357 () (or @t50 @t131 @t130 @t356)) % 33.85/34.91 (define @t358 () (or @t353 @t352)) % 33.85/34.91 (define @t359 () (or @t325 @t358)) % 33.85/34.91 (define @t360 () (forall @t355 @t359)) % 33.85/34.91 (define @t361 () (@list @t350)) % 33.85/34.91 (define @t362 () (forall @t361 @t359)) % 33.85/34.91 (define @t363 () (forall @t361 @t358)) % 33.85/34.91 (define @t364 () (or @t325 @t363)) % 33.85/34.91 (define @t365 () (forall @t34 (or @t268 @t44))) % 33.85/34.91 (define @t366 () (= @t307 @t315)) % 33.85/34.91 (define @t367 () (not @t337)) % 33.85/34.91 (define @t368 () (or @t222 @t221 @t219 @t214 @t367 @t366)) % 33.85/34.91 (define @t369 () (@list @t207 @t304)) % 33.85/34.91 (define @t370 () (or @t219 @t367 @t319)) % 33.85/34.91 (define @t371 () (@var "BOUND_VARIABLE_7958" $$unsorted)) % 33.85/34.91 (define @t372 () (tptp.subset (tptp.interior @t1 @t371) @t371)) % 33.85/34.91 (define @t373 () (not (tptp.element @t371 @t18))) % 33.85/34.91 (define @t374 () (or @t373 @t372)) % 33.85/34.91 (define @t375 () (or @t130 @t374)) % 33.85/34.91 (define @t376 () (forall (@list @t1 @t371) @t375)) % 33.85/34.91 (define @t377 () (@list @t371)) % 33.85/34.91 (define @t378 () (forall @t377 @t375)) % 33.85/34.91 (define @t379 () (forall @t377 @t374)) % 33.85/34.91 (define @t380 () (@list @t2)) % 33.85/34.91 (define @t381 () (or @t130 @t379)) % 33.85/34.91 (define @t382 () (forall @t38 (or @t146 @t85))) % 33.85/34.91 (define @t383 () (tptp.subset @t312 @t304)) % 33.85/34.91 (define @t384 () (or @t219 @t367 @t383)) % 33.85/34.91 (define @t385 () (@var "BOUND_VARIABLE_7985" $$unsorted)) % 33.85/34.91 (define @t386 () (tptp.open_subset (tptp.interior @t1 @t385) @t1)) % 33.85/34.91 (define @t387 () (not (tptp.element @t385 @t18))) % 33.85/34.91 (define @t388 () (or @t387 @t386)) % 33.85/34.91 (define @t389 () (or @t131 @t130 @t388)) % 33.85/34.91 (define @t390 () (forall (@list @t1 @t385) @t389)) % 33.85/34.91 (define @t391 () (@list @t385)) % 33.85/34.91 (define @t392 () (forall @t391 @t389)) % 33.85/34.91 (define @t393 () (forall @t391 @t388)) % 33.85/34.91 (define @t394 () (or @t131 @t130 @t393)) % 33.85/34.91 (define @t395 () (forall @t38 (or @t146 @t91))) % 33.85/34.91 (define @t396 () (or @t131 @t130 @t395)) % 33.85/34.91 (define @t397 () (or @t221 @t219 @t367 @t317)) % 33.85/34.91 (define @t398 () (not @t108)) % 33.85/34.91 (define @t399 () (not @t84)) % 33.85/34.91 (define @t400 () (tptp.disjoint @t312 @t205)) % 33.85/34.91 (define @t401 () (not @t383)) % 33.85/34.91 (define @t402 () (or @t401 @t306 @t400)) % 33.85/34.91 (define @t403 () (not @t400)) % 33.85/34.91 (define @t404 () (or @t403 @t313)) % 33.85/34.91 (define @t405 () (@quantifiers_skolemize @t285 0)) % 33.85/34.91 (define @t406 () (tptp.disjoint @t405 @t205)) % 33.85/34.91 (define @t407 () (not @t406)) % 33.85/34.91 (define @t408 () (tptp.point_neighbourhood @t405 @t207 @t206)) % 33.85/34.91 (define @t409 () (not @t408)) % 33.85/34.91 (define @t410 () (or @t409 @t407)) % 33.85/34.91 (define @t411 () (not @t285)) % 33.85/34.91 (define @t412 () (@list true false)) % 33.85/34.91 (define @t413 () (tptp.disjoint @t205 @t405)) % 33.85/34.91 (define @t414 () (not @t413)) % 33.85/34.91 (define @t415 () (tptp.in @t206 @t405)) % 33.85/34.91 (define @t416 () (not @t415)) % 33.85/34.91 (define @t417 () (tptp.open_subset @t405 @t207)) % 33.85/34.91 (define @t418 () (not @t417)) % 33.85/34.91 (define @t419 () (tptp.element @t405 @t215)) % 33.85/34.91 (define @t420 () (not @t419)) % 33.85/34.91 (define @t421 () (or @t420 @t418 @t416 @t414)) % 33.85/34.91 (define @t422 () (not @t421)) % 33.85/34.91 (define @t423 () (@list @t421)) % 33.85/34.91 (define @t424 () (or @t414 @t406)) % 33.85/34.91 (define @t425 () (or @t222 @t221 @t219 @t420 @t418 @t214 @t416 @t408)) % 33.85/34.91 (define @t426 () (not @t425)) % 33.85/34.91 (define @t427 () (forall @t135 @t132)) % 33.85/34.91 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 33.85/34.91 (assume @p2 (forall @t7 (=> @t6 @t5))) % 33.85/34.91 (assume @p3 (forall @t7 (=> @t6 @t8))) % 33.85/34.91 (assume @p4 (forall @t7 (=> @t10 @t9))) % 33.85/34.91 (assume @p5 @t42) % 33.85/34.91 (assume @p6 @t54) % 33.85/34.91 (assume @p7 @t58) % 33.85/34.91 (assume @p8 true) % 33.85/34.91 (assume @p9 @t60) % 33.85/34.91 (assume @p10 @t62) % 33.85/34.91 (assume @p11 @t66) % 33.85/34.91 (assume @p12 (exists @t7 @t40)) % 33.85/34.91 (assume @p13 (exists @t7 @t61)) % 33.85/34.91 (assume @p14 (forall @t4 (=> @t64 (exists @t34 @t43)))) % 33.85/34.91 (assume @p15 (forall @t7 (exists @t38 (tptp.element @t2 @t1)))) % 33.85/34.91 (assume @p16 (and @t68 @t67 (tptp.relation_empty_yielding tptp.empty_set))) % 33.85/34.91 (assume @p17 @t71) % 33.85/34.91 (assume @p18 (forall @t7 (not (tptp.empty @t72)))) % 33.85/34.91 (assume @p19 (and @t68 @t67)) % 33.85/34.91 (assume @p20 (exists @t7 (and @t8 @t5))) % 33.85/34.91 (assume @p21 (exists @t7 (and @t8 @t73 @t5))) % 33.85/34.91 (assume @p22 (exists @t7 (and @t6 @t8))) % 33.85/34.91 (assume @p23 (forall @t7 (=> @t77 (exists @t38 (and @t76 @t75))))) % 33.85/34.91 (assume @p24 (exists @t7 @t10)) % 33.85/34.91 (assume @p25 (exists @t7 (and @t77 @t8))) % 33.85/34.91 (assume @p26 (forall @t7 (exists @t38 (and @t76 @t74)))) % 33.85/34.91 (assume @p27 (exists @t7 @t9)) % 33.85/34.91 (assume @p28 (exists @t7 (and @t8 @t73))) % 33.85/34.91 (assume @p29 (exists @t7 (and @t61 @t51))) % 33.85/34.91 (assume @p30 (forall @t7 (=> @t70 (exists @t38 (and @t36 @t75))))) % 33.85/34.91 (assume @p31 (forall @t4 (tptp.subset @t1 @t1))) % 33.85/34.91 (assume @p32 @t80) % 33.85/34.91 (assume @p33 (forall @t4 (=> @t3 @t81))) % 33.85/34.91 (assume @p34 @t83) % 33.85/34.91 (assume @p35 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t84))) % 33.85/34.91 (assume @p36 @t88) % 33.85/34.91 (assume @p37 (forall @t90 (=> (and @t3 @t89) (tptp.element @t1 @t22)))) % 33.85/34.91 (assume @p38 @t95) % 33.85/34.91 (assume @p39 @t106) % 33.85/34.91 (assume @p40 (forall @t90 (not (and @t3 @t89 (tptp.empty @t22))))) % 33.85/34.91 (assume @p41 @t110) % 33.85/34.91 (assume @p42 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 33.85/34.91 (assume @p43 @t122) % 33.85/34.91 (assume @p44 (forall @t4 (not (and @t3 @t74)))) % 33.85/34.91 (assume @p45 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t74)))) % 33.85/34.91 (step @p46 :rule aci_norm :args ((= @t134 @t132))) % 33.85/34.91 (step @p47 :rule cong :premises (@p46) :args (@t136)) % 33.85/34.91 (step @p48 :rule quant-merge-prenex :args ((= (forall @t7 @t138) @t136))) % 33.85/34.91 (step @p49 :rule alpha_equiv :args (@t139 (@list @t124 @t123) (@list @t2 @t140))) % 33.85/34.91 (step @p50 :rule refl :args (@t130)) % 33.85/34.91 (step @p51 :rule refl :args (@t131)) % 33.85/34.91 (step @p52 :rule refl :args (@t50)) % 33.85/34.91 (step @p53 :rule nary_cong :premises (@p52 @p51 @p50 @p49) :args (@t141)) % 33.85/34.91 (step @p54 :rule quant-miniscope-or :args ((= @t138 @t141))) % 33.85/34.91 (step @p55 :rule trans :premises (@p54 @p53)) % 33.85/34.91 (step @p56 :rule symm :premises (@p55)) % 33.85/34.91 (step @p57 :rule cong :premises (@p56) :args ((forall @t7 @t150))) % 33.85/34.91 (step @p58 :rule trans :premises (@p57 @p48)) % 33.85/34.91 (step @p59 :rule trans :premises (@p58 @p47)) % 33.85/34.91 (step @p60 :rule aci_norm :args ((= (or @t151 @t149) @t150))) % 33.85/34.91 (step @p61 :rule refl :args (@t149)) % 33.85/34.91 (step @p62 :rule bool-double-not-elim :args (@t50)) % 33.85/34.91 (step @p63 :rule nary_cong :premises (@p62 @p51 @p50) :args (@t153)) % 33.85/34.91 (step @p64 :rule aci_norm :args ((= (or @t152 @t154) @t153))) % 33.85/34.91 (step @p65 :rule trans :premises (@p64 @p63)) % 33.85/34.91 (step @p66 :rule bool-and-de-morgan :args (@t49 @t40 true)) % 33.85/34.91 (step @p67 :rule refl :args (@t152)) % 33.85/34.91 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t152 @t155))) % 33.85/34.91 (step @p69 :rule bool-and-de-morgan :args (@t51 @t49 (and @t40))) % 33.85/34.91 (step @p70 :rule trans :premises (@p69 @p68)) % 33.85/34.91 (step @p71 :rule trans :premises (@p70 @p65)) % 33.85/34.91 (step @p72 :rule nary_cong :premises (@p71 @p61) :args ((or @t156 @t149))) % 33.85/34.91 (step @p73 :rule trans :premises (@p72 @p60)) % 33.85/34.91 (step @p74 :rule bool-impl-elim :args (@t52 @t149)) % 33.85/34.91 (step @p75 :rule trans :premises (@p74 @p73)) % 33.85/34.91 (step @p76 :rule cong :premises (@p75) :args ((forall @t7 (=> @t52 @t149)))) % 33.85/34.91 (step @p77 :rule trans :premises (@p76 @p59)) % 33.85/34.91 (step @p78 :rule aci_norm :args ((= @t158 @t147))) % 33.85/34.91 (step @p79 :rule cong :premises (@p78) :args (@t159)) % 33.85/34.91 (step @p80 :rule quant-merge-prenex :args ((= (forall @t38 @t161) @t159))) % 33.85/34.91 (step @p81 :rule alpha_equiv :args (@t162 (@list @t140) @t163)) % 33.85/34.91 (step @p82 :rule refl :args (@t145)) % 33.85/34.91 (step @p83 :rule refl :args (@t146)) % 33.85/34.91 (step @p84 :rule nary_cong :premises (@p83 @p82 @p81) :args (@t164)) % 33.85/34.91 (step @p85 :rule quant-miniscope-or :args ((= @t161 @t164))) % 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bool-impl-elim :args (@t40 @t382)) % 33.85/34.91 (step @p509 :rule cong :premises (@p508) :args ((forall @t7 (=> @t40 @t382)))) % 33.85/34.91 (step @p510 :rule trans :premises (@p509 @p507)) % 33.85/34.91 (step @p511 :rule bool-impl-elim :args (@t36 @t85)) % 33.85/34.91 (step @p512 :rule cong :premises (@p511) :args (@t86)) % 33.85/34.91 (step @p513 :rule cong :premises (@p260 @p512) :args (@t87)) % 33.85/34.91 (step @p514 :rule cong :premises (@p513) :args (@t88)) % 33.85/34.91 (step @p515 :rule trans :premises (@p514 @p510)) % 33.85/34.91 (step @p516 :rule eq_resolve :premises (@p36 @p515)) % 33.85/34.91 (step @p517 :rule instantiate :premises (@p516) :args (@t369)) % 33.85/34.91 (step @p518 :rule cnf_or_pos :args (@t384)) % 33.85/34.91 (step @p519 :rule reordering :premises (@p518) :args ((or @t219 @t367 @t383 (not @t384)))) % 33.85/34.91 (step @p520 :rule aci_norm :args ((= @t389 (or @t131 @t130 @t387 @t386)))) % 33.85/34.91 (step @p521 :rule cong :premises (@p520) :args (@t390)) % 33.85/34.91 (step @p522 :rule quant-merge-prenex :args ((= (forall @t7 @t392) @t390))) % 33.85/34.91 (step @p523 :rule alpha_equiv :args (@t393 (@list @t385) @t380)) % 33.85/34.91 (step @p524 :rule nary_cong :premises (@p51 @p50 @p523) :args (@t394)) % 33.85/34.91 (step @p525 :rule quant-miniscope-or :args ((= @t392 @t394))) % 33.85/34.91 (step @p526 :rule trans :premises (@p525 @p524)) % 33.85/34.91 (step @p527 :rule symm :premises (@p526)) % 33.85/34.91 (step @p528 :rule cong :premises (@p527) :args ((forall @t7 @t396))) % 33.85/34.91 (step @p529 :rule trans :premises (@p528 @p522)) % 33.85/34.91 (step @p530 :rule trans :premises (@p529 @p521)) % 33.85/34.91 (step @p531 :rule aci_norm :args ((= (or @t154 @t395) @t396))) % 33.85/34.91 (step @p532 :rule refl :args (@t395)) % 33.85/34.91 (step @p533 :rule nary_cong :premises (@p66 @p532) :args ((or @t155 @t395))) % 33.85/34.91 (step @p534 :rule trans :premises (@p533 @p531)) % 33.85/34.91 (step @p535 :rule bool-impl-elim :args (@t93 @t395)) % 33.85/34.91 (step @p536 :rule trans :premises (@p535 @p534)) % 33.85/34.91 (step @p537 :rule cong :premises (@p536) :args ((forall @t7 (=> @t93 @t395)))) % 33.85/34.91 (step @p538 :rule trans :premises (@p537 @p530)) % 33.85/34.91 (step @p539 :rule bool-impl-elim :args (@t36 @t91)) % 33.85/34.91 (step @p540 :rule cong :premises (@p539) :args (@t92)) % 33.85/34.91 (step @p541 :rule refl :args (@t93)) % 33.85/34.91 (step @p542 :rule cong :premises (@p541 @p540) :args (@t94)) % 33.85/34.91 (step @p543 :rule cong :premises (@p542) :args (@t95)) % 33.85/34.91 (step @p544 :rule trans :premises (@p543 @p538)) % 33.85/34.91 (step @p545 :rule eq_resolve :premises (@p38 @p544)) % 33.85/34.91 (step @p546 :rule instantiate :premises (@p545) :args (@t369)) % 33.85/34.91 (step @p547 :rule cnf_or_pos :args (@t397)) % 33.85/34.91 (step @p548 :rule reordering :premises (@p547) :args ((or @t221 @t219 @t367 @t317 (not @t397)))) % 33.85/34.91 (step @p549 :rule cnf_equiv_pos1 :args (@t366)) % 33.85/34.91 (step @p550 :rule reordering :premises (@p549) :args ((or @t308 @t315 (not @t366)))) % 33.85/34.91 (step @p551 :rule cnf_or_pos :args (@t321)) % 33.85/34.91 (step @p552 :rule reordering :premises (@p551) :args ((or @t316 @t320 @t318 @t314 (not @t321)))) % 33.85/34.91 (step @p553 :rule aci_norm :args ((= (or (or @t399 @t398) @t107) (or @t399 @t398 @t107)))) % 33.85/34.91 (step @p554 :rule refl :args (@t107)) % 33.85/34.91 (step @p555 :rule bool-and-de-morgan :args (@t84 @t108 true)) % 33.85/34.91 (step @p556 :rule nary_cong :premises (@p555 @p554) :args ((or (not @t109) @t107))) % 33.85/34.91 (step @p557 :rule trans :premises (@p556 @p553)) % 33.85/34.91 (step @p558 :rule bool-impl-elim :args (@t109 @t107)) % 33.85/34.91 (step @p559 :rule trans :premises (@p558 @p557)) % 33.85/34.91 (step @p560 :rule cong :premises (@p559) :args (@t110)) % 33.85/34.91 (step @p561 :rule eq_resolve :premises (@p41 @p560)) % 33.85/34.91 (step @p562 :rule instantiate :premises (@p561) :args ((@list @t312 @t304 @t205))) % 33.85/34.91 (step @p563 :rule cnf_or_pos :args (@t402)) % 33.85/34.91 (step @p564 :rule reordering :premises (@p563) :args ((or @t306 @t401 @t400 (not @t402)))) % 33.85/34.91 (step @p565 :rule bool-impl-elim :args (@t79 @t78)) % 33.85/34.91 (step @p566 :rule cong :premises (@p565) :args (@t80)) % 33.85/34.91 (step @p567 :rule eq_resolve :premises (@p32 @p566)) % 33.85/34.91 (step @p568 :rule instantiate :premises (@p567) :args ((@list @t312 @t205))) % 33.85/34.91 (step @p569 :rule cnf_or_pos :args (@t404)) % 33.85/34.91 (step @p570 :rule reordering :premises (@p569) :args ((or @t313 @t403 (not @t404)))) % 33.85/34.91 (step @p571 :rule chain_m_resolution :premises (@p570 @p568 @p564 @p562 @p552 @p550 @p548 @p546 @p305 @p398 @p519 @p517 @p305 @p496 @p494 @p305 @p485 @p483 @p359 @p305 @p398 @p350 @p439 @p437 @p359 @p305 @p398 @p350 @p392 @p387 @p381 @p376 @p367 @p365 @p178 @p177) :args (@t303 (@list false false false true false false false false false false false false false false false false false false false false true false false false false false true false false false true false false true true) (@list @t404 @t400 @t402 @t313 @t315 @t317 @t397 @t218 @t220 @t383 @t384 @t218 @t319 @t370 @t218 @t366 @t368 @t213 @t218 @t220 @t222 @t337 @t338 @t213 @t218 @t220 @t222 @t305 @t307 @t321 @t309 @t285 @t289 @t208 @t211))) % 33.85/34.91 (step @p572 :rule cnf_equiv_neg1 :args (@t211)) % 33.85/34.91 (step @p573 :rule reordering :premises (@p572) :args ((or @t210 @t208 @t211))) % 33.85/34.91 (step @p574 :rule chain_m_resolution :premises (@p573 @p571 @p177) :args (@t208 (@list true true) (@list @t210 @t211))) % 33.85/34.91 (assume-push @p643 @t208) % 33.85/34.91 (step @p576 :rule instantiate :premises (@p643) :args ((@list @t405))) % 33.85/34.91 (step-pop @p644 :rule scope :premises (@p576)) % 33.85/34.91 (step @p577 :rule process_scope :premises (@p644) :args (@t410)) % 33.85/34.91 (step @p579 :rule implies_elim :premises (@p577)) % 33.85/34.91 (step @p580 :rule chain_m_resolution :premises (@p579 @p574) :args (@t410 @t281 (@list @t208))) % 33.85/34.91 (step @p581 :rule instantiate :premises (@p567) :args ((@list @t205 @t405))) % 33.85/34.91 (step @p582 :rule cnf_equiv_pos2 :args (@t289)) % 33.85/34.91 (step @p583 :rule reordering :premises (@p582) :args ((or @t210 @t411 @t302))) % 33.85/34.91 (step @p584 :rule chain_m_resolution :premises (@p583 @p571 @p365) :args (@t411 @t412 (@list @t210 @t289))) % 33.85/34.91 (step @p585 :rule refl :args (@t422)) % 33.85/34.91 (step @p586 :rule bool-double-not-elim :args (@t285)) % 33.85/34.91 (step @p587 :rule nary_cong :premises (@p586 @p585) :args ((or (not @t411) @t422))) % 33.85/34.91 (assume-push @p645 @t411) % 33.85/34.91 (step @p589 :rule skolemize :premises (@p645)) % 33.85/34.91 (step-pop @p646 :rule scope :premises (@p589)) % 33.85/34.91 (step @p590 :rule process_scope :premises (@p646) :args (@t422)) % 33.85/34.91 (step @p592 :rule implies_elim :premises (@p590)) % 33.85/34.91 (step @p593 :rule eq_resolve :premises (@p592 @p587)) % 33.85/34.91 (step @p594 :rule chain_m_resolution :premises (@p593 @p584) :args (@t422 @t224 (@list @t285))) % 33.85/34.91 (step @p595 :rule bool-double-not-elim :args (@t413)) % 33.85/34.91 (step @p596 :rule refl :args (@t421)) % 33.85/34.91 (step @p597 :rule nary_cong :premises (@p596 @p595) :args ((or @t421 (not @t414)))) % 33.85/34.91 (step @p598 :rule cnf_or_neg :args (@t421 3)) % 33.85/34.91 (step @p599 :rule eq_resolve :premises (@p598 @p597)) % 33.85/34.91 (step @p600 :rule reordering :premises (@p599) :args ((or @t413 @t421))) % 33.85/34.91 (step @p601 :rule chain_m_resolution :premises (@p600 @p594) :args (@t413 @t224 @t423)) % 33.85/34.91 (step @p602 :rule cnf_or_pos :args (@t424)) % 33.85/34.91 (step @p603 :rule reordering :premises (@p602) :args ((or @t414 @t406 (not @t424)))) % 33.85/34.91 (step @p604 :rule chain_m_resolution :premises (@p603 @p601 @p581) :args (@t406 @t296 (@list @t413 @t424))) % 33.85/34.91 (step @p605 :rule cnf_or_pos :args (@t410)) % 33.85/34.91 (step @p606 :rule reordering :premises (@p605) :args ((or @t407 @t409 (not @t410)))) % 33.85/34.91 (step @p607 :rule chain_m_resolution :premises (@p606 @p604 @p580) :args (@t409 @t296 (@list @t406 @t410))) % 33.85/34.91 (step @p608 :rule bool-double-not-elim :args (@t415)) % 33.85/34.91 (step @p609 :rule nary_cong :premises (@p596 @p608) :args ((or @t421 (not @t416)))) % 33.85/34.91 (step @p610 :rule cnf_or_neg :args (@t421 2)) % 33.85/34.91 (step @p611 :rule eq_resolve :premises (@p610 @p609)) % 33.85/34.91 (step @p612 :rule reordering :premises (@p611) :args ((or @t415 @t421))) % 33.85/34.91 (step @p613 :rule chain_m_resolution :premises (@p612 @p594) :args (@t415 @t224 @t423)) % 33.85/34.91 (step @p614 :rule bool-double-not-elim :args (@t417)) % 33.85/34.91 (step @p615 :rule nary_cong :premises (@p596 @p614) :args ((or @t421 (not @t418)))) % 33.85/34.91 (step @p616 :rule cnf_or_neg :args (@t421 1)) % 33.85/34.91 (step @p617 :rule eq_resolve :premises (@p616 @p615)) % 33.85/34.91 (step @p618 :rule reordering :premises (@p617) :args ((or @t417 @t421))) % 33.85/34.91 (step @p619 :rule chain_m_resolution :premises (@p618 @p594) :args (@t417 @t224 @t423)) % 33.85/34.91 (step @p620 :rule bool-double-not-elim :args (@t419)) % 33.85/34.91 (step @p621 :rule nary_cong :premises (@p596 @p620) :args ((or @t421 (not @t420)))) % 33.85/34.91 (step @p622 :rule cnf_or_neg :args (@t421 0)) % 33.85/34.91 (step @p623 :rule eq_resolve :premises (@p622 @p621)) % 33.85/34.91 (step @p624 :rule reordering :premises (@p623) :args ((or @t419 @t421))) % 33.85/34.91 (step @p625 :rule chain_m_resolution :premises (@p624 @p594) :args (@t419 @t224 @t423)) % 33.85/34.91 (step @p626 :rule cnf_or_pos :args (@t425)) % 33.85/34.91 (step @p627 :rule reordering :premises (@p626) :args ((or @t222 @t221 @t219 @t214 @t420 @t418 @t416 @t408 @t426))) % 33.85/34.91 (step @p628 :rule chain_m_resolution :premises (@p627 @p350 @p398 @p305 @p359 @p625 @p619 @p613 @p607) :args (@t426 (@list true false false false false false false true) (@list @t222 @t220 @t218 @t213 @t419 @t417 @t415 @t408))) % 33.85/34.91 (assume-push @p647 @t427) % 33.85/34.91 (step @p630 :rule instantiate :premises (@p123) :args ((@list @t207 @t405 @t206))) % 33.85/34.91 (step-pop @p648 :rule scope :premises (@p630)) % 33.85/34.91 (step @p631 :rule process_scope :premises (@p648) :args (@t425)) % 33.85/34.91 (step @p633 :rule implies_elim :premises (@p631)) % 33.85/34.91 (step @p634 false :rule chain_m_resolution :premises (@p633 @p628 @p123) :args (false @t412 (@list @t425 @t427))) % 33.85/34.91 ) % 33.85/34.91 % SZS output end Proof % 33.85/34.91 % cvc5 exiting %------------------------------------------------------------------------------