%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU388+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:35 AM UTC 2026 % Result : Theorem 0.37s 0.78s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SEU388+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n019.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.36 % CPULimit : 300 % 0.16/0.36 % WCLimit : 300 % 0.16/0.36 % DateTime : Tue Jun 2 17:06:49 EDT 2026 % 0.16/0.36 % CPUTime : % 0.27/0.55 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.78 % SZS status Theorem % 0.37/0.78 % SZS output start Proof % 0.37/0.78 ( % 0.37/0.78 (declare-sort $$unsorted 0) % 0.37/0.78 (declare-const tptp.directed_relstr (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.filtered_subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.directed_subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.v1_yellow_3 (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.distributive_relstr (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.complemented_relstr (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.heyting_relstr (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.connected_relstr (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.trivial_carrier (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.upper_relstr_subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.bounded_relstr (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.complete_relstr (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.dense (-> $$unsorted $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.a_2_0_yellow19 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.78 (declare-const tptp.up_complete_relstr (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.boolean_relstr (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.boundary_set (-> $$unsorted $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.37/0.78 (declare-const tptp.lower_relstr_subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.upper_bounded_relstr (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.with_infima_relstr (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.with_suprema_relstr (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.boole_POSet (-> $$unsorted $$unsorted)) % 0.37/0.78 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 0.37/0.78 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.neighborhood_system (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.78 (declare-const tptp.nowhere_dense (-> $$unsorted $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.join_complete_relstr (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.78 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.78 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.78 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.empty_set $$unsorted) % 0.37/0.78 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 0.37/0.78 (declare-const tptp.top_str (-> $$unsorted Bool)) % 0.37/0.78 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.78 (define @t2 () (tptp.the_InternalRel @t1)) % 0.37/0.78 (define @t3 () (tptp.the_carrier @t1)) % 0.37/0.78 (define @t4 () (tptp.strict_rel_str @t1)) % 0.37/0.78 (define @t5 () (tptp.rel_str @t1)) % 0.37/0.78 (define @t6 () (@list @t1)) % 0.37/0.78 (define @t7 () (@var "B" $$unsorted)) % 0.37/0.78 (define @t8 () (tptp.in @t1 @t7)) % 0.37/0.78 (define @t9 () (@list @t1 @t7)) % 0.37/0.78 (define @t10 () (tptp.join_complete_relstr @t1)) % 0.37/0.78 (define @t11 () (tptp.up_complete_relstr @t1)) % 0.37/0.78 (define @t12 () (tptp.reflexive_relstr @t1)) % 0.37/0.78 (define @t13 () (tptp.empty_carrier @t1)) % 0.37/0.78 (define @t14 () (not @t13)) % 0.37/0.78 (define @t15 () (tptp.complete_relstr @t1)) % 0.37/0.78 (define @t16 () (tptp.lower_bounded_relstr @t1)) % 0.37/0.78 (define @t17 () (tptp.bounded_relstr @t1)) % 0.37/0.78 (define @t18 () (tptp.upper_bounded_relstr @t1)) % 0.37/0.78 (define @t19 () (tptp.with_infima_relstr @t1)) % 0.37/0.78 (define @t20 () (tptp.with_suprema_relstr @t1)) % 0.37/0.78 (define @t21 () (tptp.antisymmetric_relstr @t1)) % 0.37/0.78 (define @t22 () (tptp.transitive_relstr @t1)) % 0.37/0.78 (define @t23 () (tptp.finite @t1)) % 0.37/0.78 (define @t24 () (tptp.empty @t1)) % 0.37/0.78 (define @t25 () (tptp.relation @t1)) % 0.37/0.78 (define @t26 () (@var "C" $$unsorted)) % 0.37/0.78 (define @t27 () (tptp.cartesian_product2 @t1 @t7)) % 0.37/0.78 (define @t28 () (tptp.element @t26 (tptp.powerset @t27))) % 0.37/0.78 (define @t29 () (@list @t1 @t7 @t26)) % 0.37/0.78 (define @t30 () (tptp.closed_subset @t7 @t1)) % 0.37/0.78 (define @t31 () (tptp.open_subset @t7 @t1)) % 0.37/0.78 (define @t32 () (tptp.empty @t7)) % 0.37/0.78 (define @t33 () (tptp.powerset @t3)) % 0.37/0.78 (define @t34 () (tptp.element @t7 @t33)) % 0.37/0.78 (define @t35 () (@list @t7)) % 0.37/0.78 (define @t36 () (tptp.top_str @t1)) % 0.37/0.78 (define @t37 () (tptp.topological_space @t1)) % 0.37/0.78 (define @t38 () (and @t37 @t36)) % 0.37/0.78 (define @t39 () (and @t14 @t15)) % 0.37/0.78 (define @t40 () (tptp.finite @t7)) % 0.37/0.78 (define @t41 () (tptp.powerset @t1)) % 0.37/0.78 (define @t42 () (tptp.element @t7 @t41)) % 0.37/0.78 (define @t43 () (tptp.boundary_set @t7 @t1)) % 0.37/0.78 (define @t44 () (tptp.trivial_carrier @t1)) % 0.37/0.78 (define @t45 () (and @t14 @t12 @t44)) % 0.37/0.78 (define @t46 () (tptp.nowhere_dense @t7 @t1)) % 0.37/0.78 (define @t47 () (and @t16 @t18)) % 0.37/0.78 (define @t48 () (tptp.connected_relstr @t1)) % 0.37/0.78 (define @t49 () (tptp.v5_membered @t7)) % 0.37/0.78 (define @t50 () (tptp.v4_membered @t7)) % 0.37/0.78 (define @t51 () (tptp.v3_membered @t7)) % 0.37/0.78 (define @t52 () (tptp.v2_membered @t7)) % 0.37/0.78 (define @t53 () (tptp.v1_membered @t7)) % 0.37/0.78 (define @t54 () (tptp.neighborhood_system @t1 @t7)) % 0.37/0.78 (define @t55 () (= @t54 (tptp.a_2_0_yellow19 @t1 @t7))) % 0.37/0.78 (define @t56 () (tptp.element @t7 @t3)) % 0.37/0.78 (define @t57 () (forall @t35 (=> @t56 @t55))) % 0.37/0.78 (define @t58 () (and @t14 @t37 @t36)) % 0.37/0.78 (define @t59 () (=> @t58 @t57)) % 0.37/0.78 (define @t60 () (forall @t6 @t59)) % 0.37/0.78 (define @t61 () (tptp.rel_str_of @t1 @t7)) % 0.37/0.78 (define @t62 () (tptp.relation_of2 @t7 @t1 @t1)) % 0.37/0.78 (define @t63 () (tptp.cast_as_carrier_subset @t1)) % 0.37/0.78 (define @t64 () (and @t14 @t37 @t36 @t56)) % 0.37/0.78 (define @t65 () (tptp.one_sorted_str @t1)) % 0.37/0.78 (define @t66 () (tptp.boole_POSet @t1)) % 0.37/0.78 (define @t67 () (tptp.strict_rel_str @t66)) % 0.37/0.78 (define @t68 () (tptp.point_neighbourhood @t26 @t1 @t7)) % 0.37/0.78 (define @t69 () (@list @t26)) % 0.37/0.78 (define @t70 () (tptp.relation_of2_as_subset @t26 @t1 @t7)) % 0.37/0.78 (define @t71 () (tptp.relation_of2 @t26 @t1 @t7)) % 0.37/0.78 (define @t72 () (tptp.relation tptp.empty_set)) % 0.37/0.78 (define @t73 () (tptp.empty tptp.empty_set)) % 0.37/0.78 (define @t74 () (not (tptp.empty @t63))) % 0.37/0.78 (define @t75 () (and @t14 @t5)) % 0.37/0.78 (define @t76 () (and @t14 @t65)) % 0.37/0.78 (define @t77 () (tptp.complete_relstr @t66)) % 0.37/0.78 (define @t78 () (tptp.with_infima_relstr @t66)) % 0.37/0.78 (define @t79 () (tptp.with_suprema_relstr @t66)) % 0.37/0.78 (define @t80 () (tptp.boolean_relstr @t66)) % 0.37/0.78 (define @t81 () (tptp.complemented_relstr @t66)) % 0.37/0.78 (define @t82 () (tptp.heyting_relstr @t66)) % 0.37/0.78 (define @t83 () (tptp.distributive_relstr @t66)) % 0.37/0.78 (define @t84 () (not (tptp.v1_yellow_3 @t66))) % 0.37/0.78 (define @t85 () (tptp.join_complete_relstr @t66)) % 0.37/0.78 (define @t86 () (tptp.up_complete_relstr @t66)) % 0.37/0.78 (define @t87 () (tptp.bounded_relstr @t66)) % 0.37/0.78 (define @t88 () (tptp.upper_bounded_relstr @t66)) % 0.37/0.78 (define @t89 () (tptp.lower_bounded_relstr @t66)) % 0.37/0.78 (define @t90 () (tptp.antisymmetric_relstr @t66)) % 0.37/0.78 (define @t91 () (tptp.transitive_relstr @t66)) % 0.37/0.78 (define @t92 () (tptp.reflexive_relstr @t66)) % 0.37/0.78 (define @t93 () (not (tptp.empty_carrier @t66))) % 0.37/0.78 (define @t94 () (and @t74 (tptp.directed_subset @t63 @t1))) % 0.37/0.78 (define @t95 () (not @t24)) % 0.37/0.78 (define @t96 () (not @t32)) % 0.37/0.78 (define @t97 () (and @t74 (tptp.filtered_subset @t63 @t1))) % 0.37/0.78 (define @t98 () (tptp.closed_subset @t63 @t1)) % 0.37/0.78 (define @t99 () (@var "D" $$unsorted)) % 0.37/0.78 (define @t100 () (= @t1 @t99)) % 0.37/0.78 (define @t101 () (tptp.point_neighbourhood @t99 @t7 @t26)) % 0.37/0.78 (define @t102 () (and @t101 @t100)) % 0.37/0.78 (define @t103 () (@list @t99)) % 0.37/0.78 (define @t104 () (exists @t103 @t102)) % 0.37/0.78 (define @t105 () (tptp.in @t1 (tptp.a_2_0_yellow19 @t7 @t26))) % 0.37/0.78 (define @t106 () (= @t105 @t104)) % 0.37/0.78 (define @t107 () (tptp.element @t26 (tptp.the_carrier @t7))) % 0.37/0.78 (define @t108 () (tptp.top_str @t7)) % 0.37/0.78 (define @t109 () (tptp.topological_space @t7)) % 0.37/0.78 (define @t110 () (tptp.empty_carrier @t7)) % 0.37/0.78 (define @t111 () (not @t110)) % 0.37/0.78 (define @t112 () (and @t111 @t109 @t108 @t107)) % 0.37/0.78 (define @t113 () (=> @t112 @t106)) % 0.37/0.78 (define @t114 () (forall @t29 @t113)) % 0.37/0.78 (define @t115 () (tptp.upper_relstr_subset @t7 @t1)) % 0.37/0.78 (define @t116 () (tptp.filtered_subset @t7 @t1)) % 0.37/0.78 (define @t117 () (and @t14 @t12 @t22 @t5)) % 0.37/0.78 (define @t118 () (tptp.lower_relstr_subset @t7 @t1)) % 0.37/0.78 (define @t119 () (tptp.directed_subset @t7 @t1)) % 0.37/0.78 (define @t120 () (tptp.element @t1 @t7)) % 0.37/0.78 (define @t121 () (= @t1 @t7)) % 0.37/0.78 (define @t122 () (tptp.in @t26 @t54)) % 0.37/0.78 (define @t123 () (forall @t69 (= @t122 @t68))) % 0.37/0.78 (define @t124 () (=> @t56 @t123)) % 0.37/0.78 (define @t125 () (forall @t35 @t124)) % 0.37/0.78 (define @t126 () (=> @t58 @t125)) % 0.37/0.78 (define @t127 () (forall @t6 @t126)) % 0.37/0.78 (define @t128 () (not @t127)) % 0.37/0.78 (define @t129 () (tptp.element @t7 (tptp.powerset @t26))) % 0.37/0.78 (define @t130 () (@var "BOUND_VARIABLE_8287" $$unsorted)) % 0.37/0.78 (define @t131 () (= (tptp.neighborhood_system @t1 @t130) (tptp.a_2_0_yellow19 @t1 @t130))) % 0.37/0.78 (define @t132 () (not (tptp.element @t130 @t3))) % 0.37/0.78 (define @t133 () (not @t36)) % 0.37/0.78 (define @t134 () (not @t37)) % 0.37/0.78 (define @t135 () (or @t132 @t131)) % 0.37/0.78 (define @t136 () (or @t13 @t134 @t133 @t135)) % 0.37/0.78 (define @t137 () (forall (@list @t1 @t130) @t136)) % 0.37/0.78 (define @t138 () (@list @t130)) % 0.37/0.78 (define @t139 () (forall @t138 @t136)) % 0.37/0.78 (define @t140 () (forall @t138 @t135)) % 0.37/0.78 (define @t141 () (or @t13 @t134 @t133 @t140)) % 0.37/0.78 (define @t142 () (not @t56)) % 0.37/0.78 (define @t143 () (forall @t35 (or @t142 @t55))) % 0.37/0.78 (define @t144 () (or @t13 @t134 @t133 @t143)) % 0.37/0.78 (define @t145 () (or @t13 @t134 @t133)) % 0.37/0.78 (define @t146 () (not @t14)) % 0.37/0.78 (define @t147 () (or @t146 @t134 @t133)) % 0.37/0.78 (define @t148 () (not @t58)) % 0.37/0.78 (define @t149 () (@var "BOUND_VARIABLE_9179" $$unsorted)) % 0.37/0.78 (define @t150 () (@var "BOUND_VARIABLE_9181" $$unsorted)) % 0.37/0.78 (define @t151 () (= (tptp.point_neighbourhood @t150 @t1 @t149) (tptp.in @t150 (tptp.neighborhood_system @t1 @t149)))) % 0.37/0.78 (define @t152 () (not (tptp.element @t149 @t3))) % 0.37/0.78 (define @t153 () (or @t13 @t134 @t133 @t152 @t151)) % 0.37/0.78 (define @t154 () (@list @t1 @t149 @t150)) % 0.37/0.78 (define @t155 () (forall @t154 @t153)) % 0.37/0.78 (define @t156 () (@quantifiers_skolemize @t155 1)) % 0.37/0.78 (define @t157 () (@quantifiers_skolemize @t155 0)) % 0.37/0.78 (define @t158 () (or @t152 @t151)) % 0.37/0.78 (define @t159 () (or @t13 @t134 @t133 @t158)) % 0.37/0.78 (define @t160 () (forall @t154 @t159)) % 0.37/0.78 (define @t161 () (@list @t149 @t150)) % 0.37/0.78 (define @t162 () (forall @t161 @t159)) % 0.37/0.78 (define @t163 () (forall @t161 @t158)) % 0.37/0.78 (define @t164 () (@var "BOUND_VARIABLE_9167" $$unsorted)) % 0.37/0.78 (define @t165 () (or @t13 @t134 @t133 @t163)) % 0.37/0.78 (define @t166 () (= (tptp.point_neighbourhood @t164 @t1 @t7) (tptp.in @t164 @t54))) % 0.37/0.78 (define @t167 () (or @t142 @t166)) % 0.37/0.78 (define @t168 () (forall (@list @t7 @t164) @t167)) % 0.37/0.78 (define @t169 () (or @t13 @t134 @t133 @t168)) % 0.37/0.78 (define @t170 () (@list @t164)) % 0.37/0.78 (define @t171 () (forall @t170 @t167)) % 0.37/0.78 (define @t172 () (forall @t170 @t166)) % 0.37/0.78 (define @t173 () (or @t142 @t172)) % 0.37/0.78 (define @t174 () (forall @t69 (= @t68 @t122))) % 0.37/0.78 (define @t175 () (tptp.element @t156 (tptp.the_carrier @t157))) % 0.37/0.78 (define @t176 () (tptp.neighborhood_system @t157 @t156)) % 0.37/0.78 (define @t177 () (@quantifiers_skolemize @t155 2)) % 0.37/0.78 (define @t178 () (tptp.in @t177 @t176)) % 0.37/0.78 (define @t179 () (tptp.point_neighbourhood @t177 @t157 @t156)) % 0.37/0.78 (define @t180 () (= @t179 @t178)) % 0.37/0.78 (define @t181 () (not @t175)) % 0.37/0.78 (define @t182 () (tptp.top_str @t157)) % 0.37/0.78 (define @t183 () (not @t182)) % 0.37/0.78 (define @t184 () (tptp.topological_space @t157)) % 0.37/0.78 (define @t185 () (not @t184)) % 0.37/0.78 (define @t186 () (tptp.empty_carrier @t157)) % 0.37/0.78 (define @t187 () (or @t186 @t185 @t183 @t181 @t180)) % 0.37/0.78 (define @t188 () (@list true)) % 0.37/0.78 (define @t189 () (@list @t187)) % 0.37/0.78 (define @t190 () (tptp.a_2_0_yellow19 @t157 @t156)) % 0.37/0.78 (define @t191 () (= @t176 @t190)) % 0.37/0.78 (define @t192 () (or @t186 @t185 @t183 @t181 @t191)) % 0.37/0.78 (define @t193 () (@list true false false false false)) % 0.37/0.78 (define @t194 () (tptp.point_neighbourhood @t1 @t7 @t26)) % 0.37/0.78 (define @t195 () (= @t105 @t194)) % 0.37/0.78 (define @t196 () (not @t107)) % 0.37/0.78 (define @t197 () (not @t108)) % 0.37/0.78 (define @t198 () (not @t109)) % 0.37/0.78 (define @t199 () (or @t110 @t198 @t197 @t196 @t195)) % 0.37/0.78 (define @t200 () (not @t111)) % 0.37/0.78 (define @t201 () (or @t200 @t198 @t197 @t196)) % 0.37/0.78 (define @t202 () (not @t194)) % 0.37/0.78 (define @t203 () (not (= @t1 @t1))) % 0.37/0.78 (define @t204 () (or @t202 @t203)) % 0.37/0.78 (define @t205 () (not @t100)) % 0.37/0.78 (define @t206 () (not @t101)) % 0.37/0.78 (define @t207 () (or @t205 @t206 @t205)) % 0.37/0.78 (define @t208 () (or @t206 @t205)) % 0.37/0.78 (define @t209 () (forall @t103 (not @t102))) % 0.37/0.78 (define @t210 () (not @t209)) % 0.37/0.78 (define @t211 () (tptp.in @t177 @t190)) % 0.37/0.78 (define @t212 () (or @t186 @t185 @t183 @t181 (= @t211 @t179))) % 0.37/0.78 (define @t213 () (forall @t29 @t199)) % 0.37/0.78 (define @t214 () (= @t179 @t211)) % 0.37/0.78 (define @t215 () (or @t186 @t185 @t183 @t181 @t214)) % 0.37/0.78 (define @t216 () (not @t214)) % 0.37/0.78 (define @t217 () (not @t211)) % 0.37/0.78 (define @t218 () (and @t178 @t191)) % 0.37/0.78 (define @t219 () (not @t191)) % 0.37/0.78 (define @t220 () (not @t178)) % 0.37/0.78 (define @t221 () (and @t220 @t191)) % 0.37/0.78 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 0.37/0.78 (assume @p2 (forall @t9 (=> @t8 (not (tptp.in @t7 @t1))))) % 0.37/0.78 (assume @p3 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t15) (and @t14 @t12 @t11 @t10))))) % 0.37/0.78 (assume @p4 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t10) (and @t14 @t12 @t16))))) % 0.37/0.78 (assume @p5 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t22 @t21 @t20 @t16 @t11) (and @t14 @t12 @t22 @t21 @t20 @t19 @t15 @t16 @t18 @t17))))) % 0.37/0.78 (assume @p6 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t21 @t10) (and @t14 @t12 @t21 @t19))))) % 0.37/0.78 (assume @p7 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t21 @t18 @t10) (and @t14 @t12 @t21 @t20 @t18))))) % 0.37/0.78 (assume @p8 (forall @t6 (=> @t24 @t23))) % 0.37/0.78 (assume @p9 (forall @t6 (=> @t5 (=> @t20 @t14)))) % 0.37/0.78 (assume @p10 (forall @t6 (=> @t24 @t25))) % 0.37/0.78 (assume @p11 (forall @t29 (=> @t28 (tptp.relation @t26)))) % 0.37/0.78 (assume @p12 (forall @t6 (=> @t38 (forall @t35 (=> @t34 (=> @t32 (and @t31 @t30))))))) % 0.37/0.78 (assume @p13 (forall @t6 (=> @t5 (=> @t39 (and @t14 @t20 @t19))))) % 0.37/0.78 (assume @p14 (forall @t6 (=> @t23 (forall @t35 (=> @t42 @t40))))) % 0.37/0.78 (assume @p15 (forall @t6 (=> @t5 (=> @t19 @t14)))) % 0.37/0.78 (assume @p16 (forall @t6 (=> @t36 (forall @t35 (=> @t34 (=> @t32 @t43)))))) % 0.37/0.78 (assume @p17 (forall @t6 (=> @t5 (=> @t45 (and @t14 @t12 @t22 @t21 @t15))))) % 0.37/0.78 (assume @p18 (forall @t6 (=> @t38 (forall @t35 (=> @t34 (=> @t32 @t46)))))) % 0.37/0.78 (assume @p19 (forall @t6 (=> @t5 (=> @t39 (and @t14 @t17))))) % 0.37/0.78 (assume @p20 (forall @t6 (=> @t38 (forall @t35 (=> @t34 (=> @t46 @t43)))))) % 0.37/0.78 (assume @p21 (forall @t6 (=> @t5 (=> @t17 @t47)))) % 0.37/0.78 (assume @p22 (forall @t6 (=> @t38 (forall @t35 (=> @t34 (=> (and @t30 @t43) (and @t43 @t46))))))) % 0.37/0.78 (assume @p23 (forall @t6 (=> @t5 (=> @t45 (and @t14 @t12 @t48))))) % 0.37/0.78 (assume @p24 (forall @t6 (=> @t5 (=> @t47 @t17)))) % 0.37/0.78 (assume @p25 (forall @t6 (=> @t38 (forall @t35 (=> @t34 (=> (and @t31 @t46) (and @t32 @t31 @t30 @t53 @t52 @t51 @t50 @t49 @t43 @t46))))))) % 0.37/0.78 (assume @p26 (forall @t6 (=> @t5 (=> (and @t12 @t20 @t11) (and @t14 @t12 @t20 @t18))))) % 0.37/0.78 (assume @p27 @t60) % 0.37/0.78 (assume @p28 (forall @t9 (=> @t62 (and (tptp.strict_rel_str @t61) (tptp.rel_str @t61))))) % 0.37/0.78 (assume @p29 true) % 0.37/0.78 (assume @p30 (forall @t9 (=> @t64 (tptp.element @t54 (tptp.powerset (tptp.the_carrier (tptp.boole_POSet @t63))))))) % 0.37/0.78 (assume @p31 (forall @t6 (=> @t65 (tptp.element @t63 @t33)))) % 0.37/0.78 (assume @p32 (forall @t6 (and @t67 (tptp.rel_str @t66)))) % 0.37/0.78 (assume @p33 (forall @t6 (=> @t5 @t65))) % 0.37/0.78 (assume @p34 (forall @t6 (=> @t36 @t65))) % 0.37/0.78 (assume @p35 (forall @t9 (=> @t64 (forall @t69 (=> @t68 (tptp.element @t26 @t33)))))) % 0.37/0.78 (assume @p36 (forall @t29 (=> @t70 @t28))) % 0.37/0.78 (assume @p37 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 0.37/0.78 (assume @p38 (exists @t6 @t5)) % 0.37/0.78 (assume @p39 (exists @t6 @t36)) % 0.37/0.78 (assume @p40 (exists @t6 @t65)) % 0.37/0.78 (assume @p41 (forall @t9 (=> @t64 (exists @t69 @t68)))) % 0.37/0.78 (assume @p42 (forall @t9 (exists @t69 @t71))) % 0.37/0.78 (assume @p43 (forall @t6 (exists @t35 (tptp.element @t7 @t1)))) % 0.37/0.78 (assume @p44 (forall @t9 (exists @t69 @t70))) % 0.37/0.78 (assume @p45 (and @t73 @t72 (tptp.relation_empty_yielding tptp.empty_set))) % 0.37/0.78 (assume @p46 (forall @t9 (=> (and @t23 @t40) (tptp.finite @t27)))) % 0.37/0.78 (assume @p47 (forall @t6 (=> @t75 (and @t74 (tptp.lower_relstr_subset @t63 @t1) (tptp.upper_relstr_subset @t63 @t1))))) % 0.37/0.78 (assume @p48 (forall @t6 (=> @t76 (not (tptp.empty @t3))))) % 0.37/0.78 (assume @p49 (forall @t6 (not (tptp.empty @t41)))) % 0.37/0.78 (assume @p50 (forall @t6 (and @t93 @t67 @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77))) % 0.37/0.78 (assume @p51 (forall @t6 (=> @t76 @t74))) % 0.37/0.78 (assume @p52 (forall @t6 (=> (and @t20 @t5) @t94))) % 0.37/0.78 (assume @p53 (forall @t6 (=> @t95 (and @t93 (not (tptp.trivial_carrier @t66)) @t67 @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77)))) % 0.37/0.78 (assume @p54 (forall @t6 (=> @t75 @t74))) % 0.37/0.78 (assume @p55 (forall @t6 (=> (and @t14 @t18 @t5) @t94))) % 0.37/0.78 (assume @p56 (and @t73 @t72)) % 0.37/0.78 (assume @p57 (forall @t9 (=> (and @t95 @t96) (not (tptp.empty @t27))))) % 0.37/0.78 (assume @p58 (forall @t6 (=> (and @t19 @t5) @t97))) % 0.37/0.78 (assume @p59 (forall @t6 (=> @t38 @t98))) % 0.37/0.78 (assume @p60 (forall @t6 (=> (and @t14 @t16 @t5) @t97))) % 0.37/0.78 (assume @p61 (forall @t6 (and @t93 @t67 @t92 @t91 @t90))) % 0.37/0.78 (assume @p62 (forall @t6 (=> @t38 (and (tptp.open_subset @t63 @t1) @t98)))) % 0.37/0.78 (assume @p63 (forall @t6 (and @t93 @t67 @t92 @t91 @t90 @t89 @t88 @t87 @t79 @t78 @t77))) % 0.37/0.78 (assume @p64 (forall @t6 (and @t93 @t67 @t92 @t91 @t90 @t89 @t88 @t87 (tptp.directed_relstr @t66) @t86 @t85 @t84 @t79 @t78 @t77))) % 0.37/0.78 (assume @p65 (forall @t6 (=> @t36 (tptp.dense @t63 @t1)))) % 0.37/0.78 (assume @p66 @t114) % 0.37/0.78 (assume @p67 (forall @t9 (=> @t62 (forall (@list @t26 @t99) (=> (= @t61 (tptp.rel_str_of @t26 @t99)) (and (= @t1 @t26) (= @t7 @t99))))))) % 0.37/0.78 (assume @p68 (forall @t6 (=> @t117 (exists @t35 (and @t34 @t96 @t116 @t115))))) % 0.37/0.78 (assume @p69 (forall @t6 (=> (and @t12 @t22 @t21 @t20 @t19 @t5) (exists @t35 (and @t34 @t96 @t119 @t116 @t118 @t115))))) % 0.37/0.78 (assume @p70 (exists @t6 (and @t5 @t14 @t12 @t22 @t21 @t48))) % 0.37/0.78 (assume @p71 (exists @t6 (and @t5 @t14 @t4 @t12 @t22 @t21 @t20 @t19 @t15 @t16 @t18 @t17 @t11 @t10))) % 0.37/0.78 (assume @p72 (exists @t6 (and @t95 @t23))) % 0.37/0.78 (assume @p73 (exists @t6 (and @t5 @t14 @t4 @t12 @t22 @t21 @t15))) % 0.37/0.78 (assume @p74 (exists @t6 (and @t24 @t25))) % 0.37/0.78 (assume @p75 (forall @t6 (=> @t95 (exists @t35 (and @t42 @t96))))) % 0.37/0.78 (assume @p76 (forall @t6 (=> @t38 (exists @t35 (and @t34 @t31))))) % 0.37/0.78 (assume @p77 (forall @t6 (=> @t5 (exists @t35 (and @t34 @t119 @t116))))) % 0.37/0.78 (assume @p78 (exists @t6 (and @t5 @t14 (not @t44) @t4 @t12 @t22 @t21 @t16 @t18 @t17 (not (tptp.v1_yellow_3 @t1)) (tptp.distributive_relstr @t1) (tptp.heyting_relstr @t1) (tptp.complemented_relstr @t1) (tptp.boolean_relstr @t1) @t20 @t19))) % 0.37/0.78 (assume @p79 (exists @t6 (and @t5 @t14 @t4 @t12 @t22 @t21 @t20 @t19 @t15 @t44))) % 0.37/0.78 (assume @p80 (exists @t6 (and @t5 @t14 @t4 @t12 @t22 @t21 @t20 @t19 @t15))) % 0.37/0.78 (assume @p81 (exists @t6 (and @t95 @t25))) % 0.37/0.78 (assume @p82 (forall @t6 (exists @t35 (and @t42 @t32)))) % 0.37/0.78 (assume @p83 (forall @t6 (=> @t38 (exists @t35 (and @t34 @t31 @t30))))) % 0.37/0.78 (assume @p84 (forall @t6 (=> (and @t14 @t12 @t5) (exists @t35 (and @t34 @t96 @t40 @t119 @t116))))) % 0.37/0.78 (assume @p85 (forall @t6 (exists @t35 (and (tptp.element @t7 (tptp.powerset @t41)) @t96 @t40)))) % 0.37/0.78 (assume @p86 (exists @t6 (and @t5 @t14 @t12 @t22 @t21 @t20 @t19 @t15 @t16 @t18 @t17))) % 0.37/0.78 (assume @p87 (forall @t6 (=> @t95 (exists @t35 (and @t42 @t96 @t40))))) % 0.37/0.78 (assume @p88 (exists @t6 (and @t25 (tptp.relation_empty_yielding @t1)))) % 0.37/0.78 (assume @p89 (exists @t6 (and @t65 @t14))) % 0.37/0.78 (assume @p90 (forall @t6 (=> @t58 (exists @t35 (and @t34 @t96 @t31 @t30))))) % 0.37/0.78 (assume @p91 (forall @t6 (=> @t65 (exists @t35 (and (tptp.element @t7 (tptp.powerset @t33)) @t96 @t40))))) % 0.37/0.78 (assume @p92 (forall @t6 (=> @t36 (exists @t35 (and @t34 @t32 @t53 @t52 @t51 @t50 @t49 @t43))))) % 0.37/0.78 (assume @p93 (exists @t6 (and @t5 @t14 @t4 @t22 (tptp.directed_relstr @t1)))) % 0.37/0.78 (assume @p94 (forall @t6 (=> @t76 (exists @t35 (and @t34 @t96))))) % 0.37/0.78 (assume @p95 (forall @t6 (=> @t38 (exists @t35 (and @t34 @t32 @t31 @t30 @t53 @t52 @t51 @t50 @t49 @t43 @t46))))) % 0.37/0.78 (assume @p96 (forall @t6 (=> @t38 (exists @t35 (and @t34 @t30))))) % 0.37/0.78 (assume @p97 (forall @t6 (=> @t58 (exists @t35 (and @t34 @t96 @t30))))) % 0.37/0.78 (assume @p98 (forall @t6 (=> @t5 (exists @t35 (and @t34 @t118 @t115))))) % 0.37/0.78 (assume @p99 (forall @t6 (=> @t75 (exists @t35 (and @t34 @t96 @t118 @t115))))) % 0.37/0.78 (assume @p100 (forall @t6 (=> @t117 (exists @t35 (and @t34 @t96 @t119 @t118))))) % 0.37/0.78 (assume @p101 (forall @t29 (= @t70 @t71))) % 0.37/0.78 (assume @p102 (forall @t9 (tptp.subset @t1 @t1))) % 0.37/0.78 (assume @p103 (forall @t9 (=> @t8 @t120))) % 0.37/0.78 (assume @p104 (forall @t9 (=> @t120 (or @t32 @t8)))) % 0.37/0.78 (assume @p105 (forall @t9 (=> (forall @t69 (= (tptp.in @t26 @t1) (tptp.in @t26 @t7))) @t121))) % 0.37/0.78 (assume @p106 (forall @t9 (= (tptp.element @t1 (tptp.powerset @t7)) (tptp.subset @t1 @t7)))) % 0.37/0.78 (assume @p107 @t128) % 0.37/0.78 (assume @p108 (forall @t29 (=> (and @t8 @t129) (tptp.element @t1 @t26)))) % 0.37/0.78 (assume @p109 (forall @t29 (not (and @t8 @t129 (tptp.empty @t26))))) % 0.37/0.78 (assume @p110 (forall @t6 (=> @t24 (= @t1 tptp.empty_set)))) % 0.37/0.78 (assume @p111 (forall @t9 (not (and @t8 @t32)))) % 0.37/0.78 (assume @p112 (forall @t9 (not (and @t24 (not @t121) @t32)))) % 0.37/0.78 (step @p113 :rule aci_norm :args ((= @t136 (or @t13 @t134 @t133 @t132 @t131)))) % 0.37/0.78 (step @p114 :rule cong :premises (@p113) :args (@t137)) % 0.37/0.78 (step @p115 :rule quant-merge-prenex :args ((= (forall @t6 @t139) @t137))) % 0.37/0.78 (step @p116 :rule alpha_equiv :args (@t140 (@list @t130) (@list @t7))) % 0.37/0.78 (step @p117 :rule refl :args (@t133)) % 0.37/0.78 (step @p118 :rule refl :args (@t134)) % 0.37/0.78 (step @p119 :rule refl :args (@t13)) % 0.37/0.78 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117 @p116) :args (@t141)) % 0.37/0.78 (step @p121 :rule quant-miniscope-or :args ((= @t139 @t141))) % 0.37/0.78 (step @p122 :rule trans :premises (@p121 @p120)) % 0.37/0.78 (step @p123 :rule symm :premises (@p122)) % 0.37/0.78 (step @p124 :rule cong :premises (@p123) :args ((forall @t6 @t144))) % 0.37/0.78 (step @p125 :rule trans :premises (@p124 @p115)) % 0.37/0.78 (step @p126 :rule trans :premises (@p125 @p114)) % 0.37/0.78 (step @p127 :rule aci_norm :args ((= (or @t145 @t143) @t144))) % 0.37/0.78 (step @p128 :rule refl :args (@t143)) % 0.37/0.78 (step @p129 :rule bool-double-not-elim :args (@t13)) % 0.37/0.78 (step @p130 :rule nary_cong :premises (@p129 @p118 @p117) :args (@t147)) % 0.37/0.78 (step @p131 :rule aci_norm :args ((= (or @t146 (or @t134 @t133)) @t147))) % 0.37/0.78 (step @p132 :rule trans :premises (@p131 @p130)) % 0.37/0.78 (step @p133 :rule bool-and-de-morgan :args (@t37 @t36 true)) % 0.37/0.78 (step @p134 :rule refl :args (@t146)) % 0.37/0.78 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t146 (not @t38)))) % 0.37/0.78 (step @p136 :rule bool-and-de-morgan :args (@t14 @t37 (and @t36))) % 0.37/0.78 (step @p137 :rule trans :premises (@p136 @p135)) % 0.37/0.78 (step @p138 :rule trans :premises (@p137 @p132)) % 0.37/0.78 (step @p139 :rule nary_cong :premises (@p138 @p128) :args ((or @t148 @t143))) % 0.37/0.78 (step @p140 :rule trans :premises (@p139 @p127)) % 0.37/0.78 (step @p141 :rule bool-impl-elim :args (@t58 @t143)) % 0.37/0.78 (step @p142 :rule trans :premises (@p141 @p140)) % 0.37/0.78 (step @p143 :rule cong :premises (@p142) :args ((forall @t6 (=> @t58 @t143)))) % 0.37/0.78 (step @p144 :rule trans :premises (@p143 @p126)) % 0.37/0.78 (step @p145 :rule bool-impl-elim :args (@t56 @t55)) % 0.37/0.78 (step @p146 :rule cong :premises (@p145) :args (@t57)) % 0.37/0.78 (step @p147 :rule refl :args (@t58)) % 0.37/0.78 (step @p148 :rule cong :premises (@p147 @p146) :args (@t59)) % 0.37/0.78 (step @p149 :rule cong :premises (@p148) :args (@t60)) % 0.37/0.78 (step @p150 :rule trans :premises (@p149 @p144)) % 0.37/0.78 (step @p151 :rule eq_resolve :premises (@p27 @p150)) % 0.37/0.78 (step @p152 :rule instantiate :premises (@p151) :args ((@list @t157 @t156))) % 0.37/0.78 (step @p153 :rule aci_norm :args ((= @t159 @t153))) % 0.37/0.78 (step @p154 :rule cong :premises (@p153) :args (@t160)) % 0.37/0.78 (step @p155 :rule quant-merge-prenex :args ((= (forall @t6 @t162) @t160))) % 0.37/0.78 (step @p156 :rule alpha_equiv :args (@t163 (@list @t149 @t150) (@list @t7 @t164))) % 0.37/0.78 (step @p157 :rule nary_cong :premises (@p119 @p118 @p117 @p156) :args (@t165)) % 0.37/0.78 (step @p158 :rule quant-miniscope-or :args ((= @t162 @t165))) % 0.37/0.78 (step @p159 :rule trans :premises (@p158 @p157)) % 0.37/0.78 (step @p160 :rule symm :premises (@p159)) % 0.37/0.78 (step @p161 :rule cong :premises (@p160) :args ((forall @t6 @t169))) % 0.37/0.78 (step @p162 :rule trans :premises (@p161 @p155)) % 0.37/0.78 (step @p163 :rule trans :premises (@p162 @p154)) % 0.37/0.78 (step @p164 :rule aci_norm :args ((= (or @t145 @t168) @t169))) % 0.37/0.78 (step @p165 :rule refl :args (@t168)) % 0.37/0.78 (step @p166 :rule nary_cong :premises (@p138 @p165) :args ((or @t148 @t168))) % 0.37/0.78 (step @p167 :rule trans :premises (@p166 @p164)) % 0.37/0.78 (step @p168 :rule bool-impl-elim :args (@t58 @t168)) % 0.37/0.78 (step @p169 :rule trans :premises (@p168 @p167)) % 0.37/0.78 (step @p170 :rule cong :premises (@p169) :args ((forall @t6 (=> @t58 @t168)))) % 0.37/0.78 (step @p171 :rule trans :premises (@p170 @p163)) % 0.37/0.78 (step @p172 :rule quant-merge-prenex :args ((= (forall @t35 @t171) @t168))) % 0.37/0.78 (step @p173 :rule alpha_equiv :args (@t172 (@list @t164) (@list @t26))) % 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(@t125)) % 0.37/0.78 (step @p189 :rule trans :premises (@p188 @p183)) % 0.37/0.78 (step @p190 :rule cong :premises (@p147 @p189) :args (@t126)) % 0.37/0.78 (step @p191 :rule cong :premises (@p190) :args (@t127)) % 0.37/0.78 (step @p192 :rule trans :premises (@p191 @p171)) % 0.37/0.78 (step @p193 :rule cong :premises (@p192) :args (@t128)) % 0.37/0.78 (step @p194 :rule eq_resolve :premises (@p107 @p193)) % 0.37/0.78 (step @p195 :rule skolemize :premises (@p194)) % 0.37/0.78 (step @p196 :rule bool-double-not-elim :args (@t175)) % 0.37/0.78 (step @p197 :rule refl :args (@t187)) % 0.37/0.78 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or @t187 (not @t181)))) % 0.37/0.78 (step @p199 :rule cnf_or_neg :args (@t187 3)) % 0.37/0.78 (step @p200 :rule eq_resolve :premises (@p199 @p198)) % 0.37/0.78 (step @p201 :rule reordering :premises (@p200) :args ((or @t175 @t187))) % 0.37/0.78 (step @p202 :rule chain_m_resolution :premises (@p201 @p195) :args (@t175 @t188 @t189)) % 0.37/0.78 (step @p203 :rule bool-double-not-elim :args (@t182)) % 0.37/0.78 (step @p204 :rule nary_cong :premises (@p197 @p203) :args ((or @t187 (not @t183)))) % 0.37/0.78 (step @p205 :rule cnf_or_neg :args (@t187 2)) % 0.37/0.78 (step @p206 :rule eq_resolve :premises (@p205 @p204)) % 0.37/0.78 (step @p207 :rule reordering :premises (@p206) :args ((or @t182 @t187))) % 0.37/0.78 (step @p208 :rule chain_m_resolution :premises (@p207 @p195) :args (@t182 @t188 @t189)) % 0.37/0.78 (step @p209 :rule bool-double-not-elim :args (@t184)) % 0.37/0.78 (step @p210 :rule nary_cong :premises (@p197 @p209) :args ((or @t187 (not @t185)))) % 0.37/0.78 (step @p211 :rule cnf_or_neg :args (@t187 1)) % 0.37/0.78 (step @p212 :rule eq_resolve :premises (@p211 @p210)) % 0.37/0.78 (step @p213 :rule reordering :premises (@p212) :args ((or @t184 @t187))) % 0.37/0.78 (step @p214 :rule chain_m_resolution :premises (@p213 @p195) :args (@t184 @t188 @t189)) % 0.37/0.78 (step @p215 :rule cnf_or_neg :args (@t187 0)) % 0.37/0.78 (step @p216 :rule chain_m_resolution :premises (@p215 @p195) :args ((not @t186) @t188 @t189)) % 0.37/0.78 (step @p217 :rule cnf_or_pos :args (@t192)) % 0.37/0.78 (step @p218 :rule reordering :premises (@p217) :args ((or @t186 @t185 @t183 @t181 @t191 (not @t192)))) % 0.37/0.78 (step @p219 :rule chain_m_resolution :premises (@p218 @p216 @p214 @p208 @p202 @p152) :args (@t191 @t193 (@list @t186 @t184 @t182 @t175 @t192))) % 0.37/0.78 (step @p220 :rule cnf_or_neg :args (@t187 4)) % 0.37/0.78 (step @p221 :rule chain_m_resolution :premises (@p220 @p195) :args ((not @t180) @t188 @t189)) % 0.37/0.78 (step @p222 :rule cnf_equiv_neg1 :args (@t180)) % 0.37/0.78 (step @p223 :rule reordering :premises (@p222) :args ((or @t179 @t178 @t180))) % 0.37/0.78 (step @p224 :rule aci_norm :args ((= (or (or @t110 @t198 @t197 @t196) @t195) @t199))) % 0.37/0.78 (step @p225 :rule refl :args (@t195)) % 0.37/0.78 (step @p226 :rule refl :args (@t196)) % 0.37/0.78 (step @p227 :rule refl :args (@t197)) % 0.37/0.78 (step @p228 :rule refl :args (@t198)) % 0.37/0.78 (step @p229 :rule bool-double-not-elim :args (@t110)) % 0.37/0.78 (step @p230 :rule nary_cong :premises (@p229 @p228 @p227 @p226) :args (@t201)) % 0.37/0.78 (step @p231 :rule aci_norm :args ((= (or @t200 (or @t198 (or @t197 @t196))) @t201))) % 0.37/0.78 (step @p232 :rule trans :premises (@p231 @p230)) % 0.37/0.78 (step @p233 :rule bool-and-de-morgan :args (@t108 @t107 true)) % 0.37/0.78 (step @p234 :rule nary_cong :premises (@p228 @p233) :args ((or @t198 (not (and @t108 @t107))))) % 0.37/0.78 (step @p235 :rule bool-and-de-morgan :args (@t109 @t108 (and @t107))) % 0.37/0.78 (step @p236 :rule trans :premises (@p235 @p234)) % 0.37/0.78 (step @p237 :rule refl :args (@t200)) % 0.37/0.78 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or @t200 (not (and @t109 @t108 @t107))))) % 0.37/0.78 (step @p239 :rule bool-and-de-morgan :args (@t111 @t109 (and @t108 @t107))) % 0.37/0.78 (step @p240 :rule trans :premises (@p239 @p238)) % 0.37/0.78 (step @p241 :rule trans :premises (@p240 @p232)) % 0.37/0.78 (step @p242 :rule nary_cong :premises (@p241 @p225) :args ((or (not @t112) @t195))) % 0.37/0.78 (step @p243 :rule trans :premises (@p242 @p224)) % 0.37/0.78 (step @p244 :rule bool-impl-elim :args (@t112 @t195)) % 0.37/0.78 (step @p245 :rule trans :premises (@p244 @p243)) % 0.37/0.78 (step @p246 :rule cong :premises (@p245) :args ((forall @t29 (=> @t112 @t195)))) % 0.37/0.78 (step @p247 :rule bool-double-not-elim :args (@t194)) % 0.37/0.78 (step @p248 :rule aci_norm :args ((= (or @t202 false) @t202))) % 0.37/0.78 (step @p249 :rule evaluate :args ((not true))) % 0.37/0.78 (step @p250 :rule eq-refl :args (@t1)) % 0.37/0.78 (step @p251 :rule cong :premises (@p250) :args (@t203)) % 0.37/0.78 (step @p252 :rule trans :premises (@p251 @p249)) % 0.37/0.78 (step @p253 :rule refl :args (@t202)) % 0.37/0.78 (step @p254 :rule nary_cong :premises (@p253 @p252) :args (@t204)) % 0.37/0.78 (step @p255 :rule trans :premises (@p254 @p248)) % 0.37/0.78 (step @p256 :rule quant-var-elim-eq :args ((= (forall @t103 (or (not (= @t99 @t1)) @t206 @t205)) @t204))) % 0.37/0.78 (step @p257 :rule refl :args (@t205)) % 0.37/0.78 (step @p258 :rule refl :args (@t206)) % 0.37/0.78 (step @p259 :rule eq-symm :args (@t1 @t99)) % 0.37/0.78 (step @p260 :rule cong :premises (@p259) :args (@t205)) % 0.37/0.78 (step @p261 :rule nary_cong :premises (@p260 @p258 @p257) :args (@t207)) % 0.37/0.78 (step @p262 :rule aci_norm :args ((= @t208 @t207))) % 0.37/0.78 (step @p263 :rule trans :premises (@p262 @p261)) % 0.37/0.78 (step @p264 :rule cong :premises (@p263) :args ((forall @t103 @t208))) % 0.37/0.78 (step @p265 :rule trans :premises (@p264 @p256)) % 0.37/0.78 (step @p266 :rule trans :premises (@p265 @p255)) % 0.37/0.78 (step @p267 :rule bool-and-de-morgan :args (@t101 @t100 true)) % 0.37/0.78 (step @p268 :rule cong :premises (@p267) :args (@t209)) % 0.37/0.78 (step @p269 :rule trans :premises (@p268 @p266)) % 0.37/0.78 (step @p270 :rule cong :premises (@p269) :args (@t210)) % 0.37/0.78 (step @p271 :rule trans :premises (@p270 @p247)) % 0.37/0.78 (step @p272 :rule exists-elim :args ((= @t104 @t210))) % 0.37/0.78 (step @p273 :rule trans :premises (@p272 @p271)) % 0.37/0.78 (step @p274 :rule refl :args (@t105)) % 0.37/0.78 (step @p275 :rule cong :premises (@p274 @p273) :args (@t106)) % 0.37/0.78 (step @p276 :rule refl :args (@t112)) % 0.37/0.78 (step @p277 :rule cong :premises (@p276 @p275) :args (@t113)) % 0.37/0.78 (step @p278 :rule cong :premises (@p277) :args (@t114)) % 0.37/0.78 (step @p279 :rule trans :premises (@p278 @p246)) % 0.37/0.78 (step @p280 :rule eq_resolve :premises (@p66 @p279)) % 0.37/0.78 (step @p281 :rule eq-symm :args (@t211 @t179)) % 0.37/0.78 (step @p282 :rule refl :args (@t181)) % 0.37/0.78 (step @p283 :rule refl :args (@t183)) % 0.37/0.78 (step @p284 :rule refl :args (@t185)) % 0.37/0.78 (step @p285 :rule refl :args (@t186)) % 0.37/0.78 (step @p286 :rule nary_cong :premises (@p285 @p284 @p283 @p282 @p281) :args (@t212)) % 0.37/0.78 (step @p287 :rule refl :args (@t213)) % 0.37/0.78 (step @p288 :rule cong :premises (@p287 @p286) :args ((=> @t213 @t212))) % 0.37/0.78 (assume-push @p353 @t213) % 0.37/0.78 (step @p290 :rule instantiate :premises (@p280) :args ((@list @t177 @t157 @t156))) % 0.37/0.78 (step-pop @p354 :rule scope :premises (@p290)) % 0.37/0.78 (step @p291 :rule process_scope :premises (@p354) :args (@t212)) % 0.37/0.78 (step @p293 :rule eq_resolve :premises (@p291 @p288)) % 0.37/0.78 (step @p294 :rule implies_elim :premises (@p293)) % 0.37/0.78 (step @p295 :rule chain_m_resolution :premises (@p294 @p280) :args (@t215 (@list false) (@list @t213))) % 0.37/0.78 (step @p296 :rule cnf_or_pos :args (@t215)) % 0.37/0.78 (step @p297 :rule reordering :premises (@p296) :args ((or @t186 @t185 @t183 @t181 @t214 (not @t215)))) % 0.37/0.78 (step @p298 :rule chain_m_resolution :premises (@p297 @p216 @p214 @p208 @p202 @p295) :args (@t214 @t193 (@list @t186 @t184 @t182 @t175 @t215))) % 0.37/0.78 (step @p299 :rule cnf_equiv_pos2 :args (@t214)) % 0.37/0.78 (step @p300 :rule reordering :premises (@p299) :args ((or @t179 @t217 @t216))) % 0.37/0.78 (assume-push @p355 @t178) % 0.37/0.78 (assume-push @p356 @t191) % 0.37/0.78 (assume-push @p357 @t178) % 0.37/0.78 (assume-push @p358 @t191) % 0.37/0.78 (step @p305 :rule true_intro :premises (@p355)) % 0.37/0.78 (step @p306 :rule symm :premises (@p219)) % 0.37/0.78 (step @p307 :rule refl :args (@t177)) % 0.37/0.78 (step @p308 :rule cong :premises (@p307 @p306) :args (@t211)) % 0.37/0.78 (step @p309 :rule trans :premises (@p308 @p305)) % 0.37/0.78 (step @p310 :rule true_elim :premises (@p309)) % 0.37/0.78 (step-pop @p359 :rule scope :premises (@p310)) % 0.37/0.78 (step-pop @p360 :rule scope :premises (@p359)) % 0.37/0.78 (step @p311 :rule process_scope :premises (@p360) :args (@t211)) % 0.37/0.78 (step @p314 :rule and_intro :premises (@p355 @p219)) % 0.37/0.78 (step @p315 :rule modus_ponens :premises (@p314 @p311)) % 0.37/0.78 (step-pop @p361 :rule scope :premises (@p315)) % 0.37/0.78 (step-pop @p362 :rule scope :premises (@p361)) % 0.37/0.78 (step @p316 :rule process_scope :premises (@p362) :args (@t211)) % 0.37/0.78 (step @p319 :rule implies_elim :premises (@p316)) % 0.37/0.78 (step @p320 :rule cnf_and_neg :args (@t218)) % 0.37/0.78 (step @p321 :rule resolution :premises (@p320 @p319) :args (true @t218)) % 0.37/0.78 (step @p322 :rule reordering :premises (@p321) :args ((or @t220 @t211 @t219))) % 0.37/0.78 (step @p323 :rule chain_m_resolution :premises (@p322 @p219 @p300 @p298 @p223 @p221) :args (@t179 (@list false true false false true) (@list @t191 @t211 @t214 @t178 @t180))) % 0.37/0.78 (step @p324 :rule cnf_equiv_neg2 :args (@t180)) % 0.37/0.78 (step @p325 :rule chain_m_resolution :premises (@p324 @p221 @p323) :args (@t220 (@list true false) (@list @t180 @t179))) % 0.37/0.78 (step @p326 :rule cnf_equiv_pos1 :args (@t214)) % 0.37/0.78 (step @p327 :rule reordering :premises (@p326) :args ((or (not @t179) @t211 @t216))) % 0.37/0.78 (step @p328 :rule chain_m_resolution :premises (@p327 @p323 @p298) :args (@t211 (@list false false) (@list @t179 @t214))) % 0.37/0.78 (step @p329 :rule refl :args (@t217)) % 0.37/0.78 (step @p330 :rule refl :args (@t219)) % 0.37/0.78 (step @p331 :rule bool-double-not-elim :args (@t178)) % 0.37/0.78 (step @p332 :rule nary_cong :premises (@p331 @p330 @p329) :args ((or (not @t220) @t219 @t217))) % 0.37/0.78 (assume-push @p363 @t220) % 0.37/0.78 (assume-push @p364 @t191) % 0.37/0.78 (assume-push @p365 @t220) % 0.37/0.78 (assume-push @p366 @t191) % 0.37/0.78 (step @p337 :rule false_intro :premises (@p363)) % 0.37/0.78 (step @p306 :rule symm :premises (@p219)) % 0.37/0.78 (step @p307 :rule refl :args (@t177)) % 0.37/0.78 (step @p308 :rule cong :premises (@p307 @p306) :args (@t211)) % 0.37/0.78 (step @p338 :rule trans :premises (@p308 @p337)) % 0.37/0.78 (step @p339 :rule false_elim :premises (@p338)) % 0.37/0.78 (step-pop @p367 :rule scope :premises (@p339)) % 0.37/0.78 (step-pop @p368 :rule scope :premises (@p367)) % 0.37/0.78 (step @p340 :rule process_scope :premises (@p368) :args (@t217)) % 0.37/0.78 (step @p343 :rule and_intro :premises (@p363 @p219)) % 0.37/0.78 (step @p344 :rule modus_ponens :premises (@p343 @p340)) % 0.37/0.78 (step-pop @p369 :rule scope :premises (@p344)) % 0.37/0.78 (step-pop @p370 :rule scope :premises (@p369)) % 0.37/0.78 (step @p345 :rule process_scope :premises (@p370) :args (@t217)) % 0.37/0.78 (step @p348 :rule implies_elim :premises (@p345)) % 0.37/0.78 (step @p349 :rule cnf_and_neg :args (@t221)) % 0.37/0.78 (step @p350 :rule resolution :premises (@p349 @p348) :args (true @t221)) % 0.37/0.78 (step @p351 :rule eq_resolve :premises (@p350 @p332)) % 0.37/0.78 (step @p352 false :rule chain_m_resolution :premises (@p351 @p328 @p325 @p219) :args (false (@list false true false) (@list @t211 @t178 @t191))) % 0.37/0.78 ) % 0.37/0.78 % SZS output end Proof % 0.37/0.78 % cvc5 exiting %------------------------------------------------------------------------------