%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU344+2 : 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 : n006.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 08:51:27 AM UTC 2026 % Result : Theorem 5.23s 5.50s % Output : Proof 0.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU344+2 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 16:59:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.37/0.64 %----Proving TF0_NAR, FOF, or CNF % 5.23/5.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 5.23/5.50 % SZS status Theorem % 5.23/5.50 % SZS output start Proof % 5.23/5.50 ( % 5.23/5.50 (declare-sort $$unsorted 0) % 5.23/5.50 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.lattice (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.a_1_0_filter_1 (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.connected (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.relation (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.ordered_pair_as_product_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.top_str (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.natural (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.finite (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.empty (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.transitive (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.function (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.empty_set $$unsorted) % 5.23/5.50 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.centered (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.omega $$unsorted) % 5.23/5.50 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.23/5.50 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 5.23/5.50 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 5.23/5.50 (define @t1 () (@var "A" $$unsorted)) % 5.23/5.50 (define @t2 () (tptp.the_L_meet @t1)) % 5.23/5.50 (define @t3 () (tptp.the_L_join @t1)) % 5.23/5.50 (define @t4 () (tptp.the_carrier @t1)) % 5.23/5.50 (define @t5 () (tptp.strict_latt_str @t1)) % 5.23/5.50 (define @t6 () (tptp.latt_str @t1)) % 5.23/5.50 (define @t7 () (@list @t1)) % 5.23/5.50 (define @t8 () (@var "B" $$unsorted)) % 5.23/5.50 (define @t9 () (tptp.in @t8 @t1)) % 5.23/5.50 (define @t10 () (not @t9)) % 5.23/5.50 (define @t11 () (tptp.in @t1 @t8)) % 5.23/5.50 (define @t12 () (@list @t1 @t8)) % 5.23/5.50 (define @t13 () (tptp.proper_subset @t8 @t1)) % 5.23/5.50 (define @t14 () (tptp.proper_subset @t1 @t8)) % 5.23/5.50 (define @t15 () (tptp.v1_xcmplx_0 @t8)) % 5.23/5.50 (define @t16 () (tptp.element @t8 @t1)) % 5.23/5.50 (define @t17 () (@list @t8)) % 5.23/5.50 (define @t18 () (tptp.v1_membered @t1)) % 5.23/5.50 (define @t19 () (tptp.v1_xreal_0 @t8)) % 5.23/5.50 (define @t20 () (tptp.v2_membered @t1)) % 5.23/5.50 (define @t21 () (tptp.v1_rat_1 @t8)) % 5.23/5.50 (define @t22 () (tptp.v3_membered @t1)) % 5.23/5.50 (define @t23 () (tptp.v1_int_1 @t8)) % 5.23/5.50 (define @t24 () (tptp.v4_membered @t1)) % 5.23/5.50 (define @t25 () (tptp.natural @t8)) % 5.23/5.50 (define @t26 () (tptp.v5_membered @t1)) % 5.23/5.50 (define @t27 () (tptp.empty @t1)) % 5.23/5.50 (define @t28 () (tptp.v1_membered @t8)) % 5.23/5.50 (define @t29 () (tptp.powerset @t1)) % 5.23/5.50 (define @t30 () (tptp.element @t8 @t29)) % 5.23/5.50 (define @t31 () (tptp.v2_membered @t8)) % 5.23/5.50 (define @t32 () (tptp.v3_membered @t8)) % 5.23/5.50 (define @t33 () (tptp.v4_membered @t8)) % 5.23/5.50 (define @t34 () (tptp.ordinal @t8)) % 5.23/5.50 (define @t35 () (tptp.epsilon_connected @t8)) % 5.23/5.50 (define @t36 () (tptp.epsilon_transitive @t8)) % 5.23/5.50 (define @t37 () (tptp.ordinal @t1)) % 5.23/5.50 (define @t38 () (tptp.finite @t1)) % 5.23/5.50 (define @t39 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 5.23/5.50 (define @t40 () (tptp.preboolean @t1)) % 5.23/5.50 (define @t41 () (tptp.function @t1)) % 5.23/5.50 (define @t42 () (tptp.join_absorbing @t1)) % 5.23/5.50 (define @t43 () (tptp.meet_absorbing @t1)) % 5.23/5.50 (define @t44 () (tptp.meet_commutative @t1)) % 5.23/5.50 (define @t45 () (tptp.join_commutative @t1)) % 5.23/5.50 (define @t46 () (tptp.empty_carrier @t1)) % 5.23/5.50 (define @t47 () (not @t46)) % 5.23/5.50 (define @t48 () (and @t47 @t45 (tptp.join_associative @t1) @t44 (tptp.meet_associative @t1) @t43 @t42)) % 5.23/5.50 (define @t49 () (tptp.lattice @t1)) % 5.23/5.50 (define @t50 () (and @t47 @t49)) % 5.23/5.50 (define @t51 () (tptp.epsilon_connected @t1)) % 5.23/5.50 (define @t52 () (tptp.epsilon_transitive @t1)) % 5.23/5.50 (define @t53 () (and @t52 @t51)) % 5.23/5.50 (define @t54 () (tptp.relation @t1)) % 5.23/5.50 (define @t55 () (@var "C" $$unsorted)) % 5.23/5.50 (define @t56 () (tptp.relation @t55)) % 5.23/5.50 (define @t57 () (tptp.cartesian_product2 @t1 @t8)) % 5.23/5.50 (define @t58 () (tptp.element @t55 (tptp.powerset @t57))) % 5.23/5.50 (define @t59 () (@list @t1 @t8 @t55)) % 5.23/5.50 (define @t60 () (tptp.natural @t1)) % 5.23/5.50 (define @t61 () (and @t52 @t51 @t37 @t60)) % 5.23/5.50 (define @t62 () (tptp.finite @t8)) % 5.23/5.50 (define @t63 () (tptp.one_to_one @t1)) % 5.23/5.50 (define @t64 () (and @t54 @t41 @t63)) % 5.23/5.50 (define @t65 () (and @t54 @t27 @t41)) % 5.23/5.50 (define @t66 () (and @t52 @t51 @t37)) % 5.23/5.50 (define @t67 () (tptp.unordered_pair @t1 @t8)) % 5.23/5.50 (define @t68 () (tptp.set_union2 @t8 @t1)) % 5.23/5.50 (define @t69 () (tptp.set_union2 @t1 @t8)) % 5.23/5.50 (define @t70 () (tptp.join_commut @t1 @t8 @t55)) % 5.23/5.50 (define @t71 () (tptp.element @t55 @t4)) % 5.23/5.50 (define @t72 () (tptp.element @t8 @t4)) % 5.23/5.50 (define @t73 () (tptp.join_semilatt_str @t1)) % 5.23/5.50 (define @t74 () (and @t47 @t45 @t73 @t72 @t71)) % 5.23/5.50 (define @t75 () (tptp.set_intersection2 @t8 @t1)) % 5.23/5.50 (define @t76 () (tptp.set_intersection2 @t1 @t8)) % 5.23/5.50 (define @t77 () (tptp.meet_commut @t1 @t8 @t55)) % 5.23/5.50 (define @t78 () (tptp.meet_semilatt_str @t1)) % 5.23/5.50 (define @t79 () (and @t47 @t44 @t78 @t72 @t71)) % 5.23/5.50 (define @t80 () (tptp.subset_union2 @t1 @t8 @t55)) % 5.23/5.50 (define @t81 () (tptp.element @t55 @t29)) % 5.23/5.50 (define @t82 () (and @t30 @t81)) % 5.23/5.50 (define @t83 () (tptp.subset_intersection2 @t1 @t8 @t55)) % 5.23/5.50 (define @t84 () (tptp.ordinal_subset @t1 @t8)) % 5.23/5.50 (define @t85 () (and @t37 @t34)) % 5.23/5.50 (define @t86 () (@var "D" $$unsorted)) % 5.23/5.50 (define @t87 () (= @t55 @t86)) % 5.23/5.50 (define @t88 () (tptp.in @t55 @t1)) % 5.23/5.50 (define @t89 () (tptp.ordered_pair @t55 @t86)) % 5.23/5.50 (define @t90 () (tptp.in @t89 @t8)) % 5.23/5.50 (define @t91 () (@list @t55 @t86)) % 5.23/5.50 (define @t92 () (tptp.identity_relation @t1)) % 5.23/5.50 (define @t93 () (= @t8 @t92)) % 5.23/5.50 (define @t94 () (tptp.relation @t8)) % 5.23/5.50 (define @t95 () (tptp.subset @t8 @t1)) % 5.23/5.50 (define @t96 () (tptp.subset @t1 @t8)) % 5.23/5.50 (define @t97 () (= @t1 @t8)) % 5.23/5.50 (define @t98 () (@var "E" $$unsorted)) % 5.23/5.50 (define @t99 () (tptp.ordered_pair @t86 @t98)) % 5.23/5.50 (define @t100 () (tptp.in @t99 @t1)) % 5.23/5.50 (define @t101 () (tptp.in @t86 @t8)) % 5.23/5.50 (define @t102 () (tptp.in @t99 @t55)) % 5.23/5.50 (define @t103 () (@list @t86 @t98)) % 5.23/5.50 (define @t104 () (tptp.relation_dom_restriction @t1 @t8)) % 5.23/5.50 (define @t105 () (@list @t8 @t55)) % 5.23/5.50 (define @t106 () (tptp.in @t98 @t8)) % 5.23/5.50 (define @t107 () (tptp.relation_dom @t1)) % 5.23/5.50 (define @t108 () (@list @t98)) % 5.23/5.50 (define @t109 () (tptp.in @t86 @t55)) % 5.23/5.50 (define @t110 () (@list @t86)) % 5.23/5.50 (define @t111 () (tptp.relation_image @t1 @t8)) % 5.23/5.50 (define @t112 () (= @t55 @t111)) % 5.23/5.50 (define @t113 () (and @t54 @t41)) % 5.23/5.50 (define @t114 () (tptp.in @t98 @t1)) % 5.23/5.50 (define @t115 () (tptp.relation_rng_restriction @t1 @t8)) % 5.23/5.50 (define @t116 () (@list @t55)) % 5.23/5.50 (define @t117 () (tptp.relation_field @t1)) % 5.23/5.50 (define @t118 () (tptp.antisymmetric @t1)) % 5.23/5.50 (define @t119 () (tptp.apply @t1 @t86)) % 5.23/5.50 (define @t120 () (tptp.in @t86 @t107)) % 5.23/5.50 (define @t121 () (= @t55 (tptp.relation_inverse_image @t1 @t8))) % 5.23/5.50 (define @t122 () (tptp.powerset @t4)) % 5.23/5.50 (define @t123 () (tptp.element @t98 @t122)) % 5.23/5.50 (define @t124 () (tptp.topstr_closure @t1 @t8)) % 5.23/5.50 (define @t125 () (tptp.element @t55 @t122)) % 5.23/5.50 (define @t126 () (tptp.element @t8 @t122)) % 5.23/5.50 (define @t127 () (tptp.top_str @t1)) % 5.23/5.50 (define @t128 () (tptp.ordered_pair @t98 @t86)) % 5.23/5.50 (define @t129 () (tptp.connected @t1)) % 5.23/5.50 (define @t130 () (tptp.transitive @t1)) % 5.23/5.50 (define @t131 () (tptp.ordered_pair @t8 @t55)) % 5.23/5.50 (define @t132 () (tptp.interior @t1 @t55)) % 5.23/5.50 (define @t133 () (tptp.point_neighbourhood @t55 @t1 @t8)) % 5.23/5.50 (define @t134 () (tptp.topological_space @t1)) % 5.23/5.50 (define @t135 () (and @t47 @t134 @t127)) % 5.23/5.50 (define @t136 () (tptp.in @t98 @t86)) % 5.23/5.50 (define @t137 () (@list @t1 @t8 @t55 @t86)) % 5.23/5.50 (define @t138 () (tptp.relation_dom @t8)) % 5.23/5.50 (define @t139 () (tptp.relation_rng @t8)) % 5.23/5.50 (define @t140 () (tptp.function @t8)) % 5.23/5.50 (define @t141 () (tptp.in (tptp.ordered_pair @t8 @t86) @t1)) % 5.23/5.50 (define @t142 () (tptp.in @t131 @t1)) % 5.23/5.50 (define @t143 () (@list @t8 @t55 @t86)) % 5.23/5.50 (define @t144 () (= @t55 tptp.empty_set)) % 5.23/5.50 (define @t145 () (tptp.quasi_total @t55 @t1 @t8)) % 5.23/5.50 (define @t146 () (= @t1 tptp.empty_set)) % 5.23/5.50 (define @t147 () (= @t8 tptp.empty_set)) % 5.23/5.50 (define @t148 () (tptp.relation_dom_as_subset @t1 @t8 @t55)) % 5.23/5.50 (define @t149 () (tptp.relation_of2_as_subset @t55 @t1 @t8)) % 5.23/5.50 (define @t150 () (tptp.element @t86 @t29)) % 5.23/5.50 (define @t151 () (tptp.the_carrier @t8)) % 5.23/5.50 (define @t152 () (tptp.boole_lattice @t1)) % 5.23/5.50 (define @t153 () (tptp.latt_str @t8)) % 5.23/5.50 (define @t154 () (tptp.join @t1 @t8 @t55)) % 5.23/5.50 (define @t155 () (and @t47 @t73)) % 5.23/5.50 (define @t156 () (= @t8 @t55)) % 5.23/5.50 (define @t157 () (= @t1 @t89)) % 5.23/5.50 (define @t158 () (exists @t105 (= @t1 @t131))) % 5.23/5.50 (define @t159 () (tptp.singleton @t1)) % 5.23/5.50 (define @t160 () (tptp.succ @t1)) % 5.23/5.50 (define @t161 () (tptp.the_topology @t1)) % 5.23/5.50 (define @t162 () (tptp.in @t8 @t161)) % 5.23/5.50 (define @t163 () (tptp.union_of_subsets @t4 @t8)) % 5.23/5.50 (define @t164 () (tptp.powerset @t122)) % 5.23/5.50 (define @t165 () (tptp.element @t8 @t164)) % 5.23/5.50 (define @t166 () (tptp.in @t55 @t8)) % 5.23/5.50 (define @t167 () (tptp.is_reflexive_in @t1 @t8)) % 5.23/5.50 (define @t168 () (tptp.relation_of2 @t55 @t1 @t8)) % 5.23/5.50 (define @t169 () (= @t8 (tptp.set_meet @t1))) % 5.23/5.50 (define @t170 () (tptp.in @t55 @t86)) % 5.23/5.50 (define @t171 () (tptp.in @t86 @t1)) % 5.23/5.50 (define @t172 () (not @t146)) % 5.23/5.50 (define @t173 () (tptp.empty @t4)) % 5.23/5.50 (define @t174 () (tptp.one_sorted_str @t1)) % 5.23/5.50 (define @t175 () (tptp.subset_complement @t4 @t8)) % 5.23/5.50 (define @t176 () (tptp.interior @t1 @t8)) % 5.23/5.50 (define @t177 () (tptp.open_subset @t55 @t1)) % 5.23/5.50 (define @t178 () (tptp.open_subsets @t8 @t1)) % 5.23/5.50 (define @t179 () (= @t86 @t8)) % 5.23/5.50 (define @t180 () (tptp.subset @t55 @t86)) % 5.23/5.50 (define @t181 () (tptp.relation_field @t8)) % 5.23/5.50 (define @t182 () (tptp.inclusion_relation @t1)) % 5.23/5.50 (define @t183 () (tptp.set_meet @t8)) % 5.23/5.50 (define @t184 () (not @t147)) % 5.23/5.50 (define @t185 () (tptp.meet @t1 @t8 @t55)) % 5.23/5.50 (define @t186 () (= @t8 @t86)) % 5.23/5.50 (define @t187 () (tptp.empty_carrier_subset @t1)) % 5.23/5.50 (define @t188 () (tptp.in @t89 @t1)) % 5.23/5.50 (define @t189 () (tptp.empty @t8)) % 5.23/5.50 (define @t190 () (not @t27)) % 5.23/5.50 (define @t191 () (forall @t116 (=> @t125 (=> @t166 (tptp.closed_subset @t55 @t1))))) % 5.23/5.50 (define @t192 () (tptp.closed_subsets @t8 @t1)) % 5.23/5.50 (define @t193 () (tptp.well_founded_relation @t1)) % 5.23/5.50 (define @t194 () (@var "F" $$unsorted)) % 5.23/5.50 (define @t195 () (tptp.ordered_pair @t98 @t194)) % 5.23/5.50 (define @t196 () (tptp.in @t194 @t8)) % 5.23/5.50 (define @t197 () (@list @t98 @t194)) % 5.23/5.50 (define @t198 () (tptp.subset @t55 @t8)) % 5.23/5.50 (define @t199 () (tptp.element @t55 @t164)) % 5.23/5.50 (define @t200 () (tptp.is_a_cover_of_carrier @t1 @t8)) % 5.23/5.50 (define @t201 () (tptp.compact_top_space @t1)) % 5.23/5.50 (define @t202 () (tptp.below @t1 @t8 @t55)) % 5.23/5.50 (define @t203 () (= @t202 (= @t154 @t55))) % 5.23/5.50 (define @t204 () (=> @t71 @t203)) % 5.23/5.50 (define @t205 () (forall @t116 @t204)) % 5.23/5.50 (define @t206 () (=> @t72 @t205)) % 5.23/5.50 (define @t207 () (forall @t17 @t206)) % 5.23/5.50 (define @t208 () (=> @t155 @t207)) % 5.23/5.50 (define @t209 () (forall @t7 @t208)) % 5.23/5.50 (define @t210 () (not @t166)) % 5.23/5.50 (define @t211 () (not @t156)) % 5.23/5.50 (define @t212 () (tptp.in @t8 @t55)) % 5.23/5.50 (define @t213 () (tptp.cast_as_carrier_subset @t1)) % 5.23/5.50 (define @t214 () (forall @t116 (=> @t88 @t166))) % 5.23/5.50 (define @t215 () (not @t144)) % 5.23/5.50 (define @t216 () (tptp.is_well_founded_in @t1 @t8)) % 5.23/5.50 (define @t217 () (tptp.apply @t1 @t8)) % 5.23/5.50 (define @t218 () (= @t55 @t217)) % 5.23/5.50 (define @t219 () (tptp.in @t8 @t107)) % 5.23/5.50 (define @t220 () (tptp.in (tptp.ordered_pair @t86 @t55) @t1)) % 5.23/5.50 (define @t221 () (tptp.is_antisymmetric_in @t1 @t8)) % 5.23/5.50 (define @t222 () (tptp.cast_to_subset @t1)) % 5.23/5.50 (define @t223 () (tptp.union @t1)) % 5.23/5.50 (define @t224 () (tptp.reflexive @t1)) % 5.23/5.50 (define @t225 () (tptp.well_ordering @t1)) % 5.23/5.50 (define @t226 () (tptp.relation_rng @t55)) % 5.23/5.50 (define @t227 () (tptp.relation_dom @t55)) % 5.23/5.50 (define @t228 () (= @t227 @t1)) % 5.23/5.50 (define @t229 () (tptp.one_to_one @t55)) % 5.23/5.50 (define @t230 () (tptp.function @t55)) % 5.23/5.50 (define @t231 () (tptp.equipotent @t1 @t8)) % 5.23/5.50 (define @t232 () (tptp.set_difference @t1 @t8)) % 5.23/5.50 (define @t233 () (and @t120 (= @t55 @t119))) % 5.23/5.50 (define @t234 () (tptp.relation_rng @t1)) % 5.23/5.50 (define @t235 () (= @t8 @t234)) % 5.23/5.50 (define @t236 () (tptp.the_InternalRel @t1)) % 5.23/5.50 (define @t237 () (tptp.transitive_relstr @t1)) % 5.23/5.50 (define @t238 () (tptp.rel_str @t1)) % 5.23/5.50 (define @t239 () (tptp.being_limit_ordinal @t1)) % 5.23/5.50 (define @t240 () (tptp.open_subset @t8 @t1)) % 5.23/5.50 (define @t241 () (tptp.subset_complement @t1 @t8)) % 5.23/5.50 (define @t242 () (tptp.ordered_pair @t1 @t8)) % 5.23/5.50 (define @t243 () (tptp.is_connected_in @t1 @t8)) % 5.23/5.50 (define @t244 () (tptp.is_transitive_in @t1 @t8)) % 5.23/5.50 (define @t245 () (tptp.antisymmetric_relstr @t1)) % 5.23/5.50 (define @t246 () (tptp.subset_difference @t4 @t213 @t8)) % 5.23/5.50 (define @t247 () (tptp.closed_subset @t8 @t1)) % 5.23/5.50 (define @t248 () (tptp.cartesian_product2 @t8 @t8)) % 5.23/5.50 (define @t249 () (tptp.relation_restriction @t1 @t8)) % 5.23/5.50 (define @t250 () (tptp.relation_inverse @t1)) % 5.23/5.50 (define @t251 () (tptp.apply @t55 @t98)) % 5.23/5.50 (define @t252 () (tptp.apply @t55 @t86)) % 5.23/5.50 (define @t253 () (tptp.relation_isomorphism @t1 @t8 @t55)) % 5.23/5.50 (define @t254 () (and @t56 @t230)) % 5.23/5.50 (define @t255 () (tptp.disjoint @t1 @t8)) % 5.23/5.50 (define @t256 () (tptp.relation_of_lattice @t1)) % 5.23/5.50 (define @t257 () (and @t47 @t49 @t6)) % 5.23/5.50 (define @t258 () (@list @t194)) % 5.23/5.50 (define @t259 () (tptp.relation_composition @t1 @t8)) % 5.23/5.50 (define @t260 () (@list @t55 @t86 @t98)) % 5.23/5.50 (define @t261 () (tptp.complements_of_subsets @t1 @t8)) % 5.23/5.50 (define @t262 () (tptp.powerset @t29)) % 5.23/5.50 (define @t263 () (tptp.element @t8 @t262)) % 5.23/5.50 (define @t264 () (not @t97)) % 5.23/5.50 (define @t265 () (tptp.function_inverse @t1)) % 5.23/5.50 (define @t266 () (tptp.related @t1 @t8 @t55)) % 5.23/5.50 (define @t267 () (tptp.latt_str_of @t1 @t8 @t55)) % 5.23/5.50 (define @t268 () (tptp.strict_latt_str @t267)) % 5.23/5.50 (define @t269 () (tptp.cartesian_product2 @t1 @t1)) % 5.23/5.50 (define @t270 () (tptp.relation_of2 @t55 @t269 @t1)) % 5.23/5.50 (define @t271 () (tptp.quasi_total @t55 @t269 @t1)) % 5.23/5.50 (define @t272 () (tptp.relation_of2 @t8 @t269 @t1)) % 5.23/5.50 (define @t273 () (tptp.quasi_total @t8 @t269 @t1)) % 5.23/5.50 (define @t274 () (and @t140 @t273 @t272 @t230 @t271 @t270)) % 5.23/5.50 (define @t275 () (tptp.ordered_pair_as_product_element @t1 @t8 @t55 @t86)) % 5.23/5.50 (define @t276 () (tptp.element @t55 @t1)) % 5.23/5.50 (define @t277 () (not @t189)) % 5.23/5.50 (define @t278 () (and @t190 @t277 @t276 (tptp.element @t86 @t8))) % 5.23/5.50 (define @t279 () (tptp.latt_str @t152)) % 5.23/5.50 (define @t280 () (tptp.strict_latt_str @t152)) % 5.23/5.50 (define @t281 () (forall @t7 (and @t280 @t279))) % 5.23/5.50 (define @t282 () (and @t127 @t126)) % 5.23/5.50 (define @t283 () (tptp.apply_binary_as_element @t1 @t8 @t55 @t86 @t98 @t194)) % 5.23/5.50 (define @t284 () (tptp.function @t86)) % 5.23/5.50 (define @t285 () (and @t190 @t277 @t284 (tptp.quasi_total @t86 @t57 @t55) (tptp.relation_of2 @t86 @t57 @t55) (tptp.element @t98 @t1) (tptp.element @t194 @t8))) % 5.23/5.50 (define @t286 () (@list @t1 @t8 @t55 @t86 @t98 @t194)) % 5.23/5.50 (define @t287 () (tptp.relation @t250)) % 5.23/5.50 (define @t288 () (tptp.relation @t259)) % 5.23/5.50 (define @t289 () (and @t54 @t94)) % 5.23/5.50 (define @t290 () (tptp.powerset @t8)) % 5.23/5.50 (define @t291 () (tptp.relation_rng_as_subset @t1 @t8 @t55)) % 5.23/5.50 (define @t292 () (tptp.union_of_subsets @t1 @t8)) % 5.23/5.50 (define @t293 () (tptp.relation @t92)) % 5.23/5.50 (define @t294 () (tptp.meet_of_subsets @t1 @t8)) % 5.23/5.50 (define @t295 () (tptp.subset_difference @t1 @t8 @t55)) % 5.23/5.50 (define @t296 () (tptp.relation @t104)) % 5.23/5.50 (define @t297 () (tptp.relation @t115)) % 5.23/5.50 (define @t298 () (and @t78 @t73)) % 5.23/5.50 (define @t299 () (forall @t7 (=> @t6 @t298))) % 5.23/5.50 (define @t300 () (and @t47 @t134 @t127 @t72)) % 5.23/5.50 (define @t301 () (tptp.cartesian_product2 @t4 @t4)) % 5.23/5.50 (define @t302 () (tptp.finite @t76)) % 5.23/5.50 (define @t303 () (tptp.relation_composition @t8 @t1)) % 5.23/5.50 (define @t304 () (and @t27 @t94)) % 5.23/5.50 (define @t305 () (tptp.relation_empty_yielding tptp.empty_set)) % 5.23/5.50 (define @t306 () (tptp.relation tptp.empty_set)) % 5.23/5.50 (define @t307 () (tptp.empty tptp.empty_set)) % 5.23/5.50 (define @t308 () (tptp.relation_empty_yielding @t1)) % 5.23/5.50 (define @t309 () (and @t54 @t308)) % 5.23/5.50 (define @t310 () (not (tptp.empty @t159))) % 5.23/5.50 (define @t311 () (not (tptp.empty @t29))) % 5.23/5.50 (define @t312 () (not (tptp.empty_carrier @t152))) % 5.23/5.50 (define @t313 () (forall @t7 (and @t312 @t280))) % 5.23/5.50 (define @t314 () (not (tptp.empty @t160))) % 5.23/5.50 (define @t315 () (and @t47 @t174)) % 5.23/5.50 (define @t316 () (tptp.v1_membered @t76)) % 5.23/5.50 (define @t317 () (tptp.v1_membered @t75)) % 5.23/5.50 (define @t318 () (tptp.v2_membered @t76)) % 5.23/5.50 (define @t319 () (tptp.ordinal @t160)) % 5.23/5.50 (define @t320 () (tptp.epsilon_connected @t160)) % 5.23/5.50 (define @t321 () (tptp.epsilon_transitive @t160)) % 5.23/5.50 (define @t322 () (and @t134 @t127 @t126)) % 5.23/5.50 (define @t323 () (tptp.v2_membered @t75)) % 5.23/5.50 (define @t324 () (tptp.v3_membered @t76)) % 5.23/5.50 (define @t325 () (tptp.v3_membered @t75)) % 5.23/5.50 (define @t326 () (tptp.v4_membered @t76)) % 5.23/5.50 (define @t327 () (tptp.v4_membered @t75)) % 5.23/5.50 (define @t328 () (tptp.v1_membered @t232)) % 5.23/5.50 (define @t329 () (tptp.v2_membered @t232)) % 5.23/5.50 (define @t330 () (tptp.v3_membered @t232)) % 5.23/5.50 (define @t331 () (tptp.open_subset @t175 @t1)) % 5.23/5.50 (define @t332 () (tptp.v4_membered @t232)) % 5.23/5.50 (define @t333 () (tptp.closed_subset @t175 @t1)) % 5.23/5.50 (define @t334 () (and @t94 @t140)) % 5.23/5.50 (define @t335 () (and @t134 @t127)) % 5.23/5.50 (define @t336 () (tptp.empty @t107)) % 5.23/5.50 (define @t337 () (and @t190 @t54)) % 5.23/5.50 (define @t338 () (tptp.empty @t234)) % 5.23/5.50 (define @t339 () (tptp.open_subset @t176 @t1)) % 5.23/5.50 (define @t340 () (= @t55 @t194)) % 5.23/5.50 (define @t341 () (= @t1 @t86)) % 5.23/5.50 (define @t342 () (@list @t86 @t98 @t194)) % 5.23/5.50 (define @t343 () (tptp.in @t8 @t117)) % 5.23/5.50 (define @t344 () (tptp.disjoint @t159 @t8)) % 5.23/5.50 (define @t345 () (not @t11)) % 5.23/5.50 (define @t346 () (tptp.well_ordering @t8)) % 5.23/5.50 (define @t347 () (tptp.in (tptp.ordered_pair @t55 @t8) @t1)) % 5.23/5.50 (define @t348 () (tptp.singleton @t55)) % 5.23/5.50 (define @t349 () (not @t142)) % 5.23/5.50 (define @t350 () (tptp.singleton @t8)) % 5.23/5.50 (define @t351 () (tptp.union @t8)) % 5.23/5.50 (define @t352 () (tptp.in @t1 @t55)) % 5.23/5.50 (define @t353 () (tptp.element @t1 @t290)) % 5.23/5.50 (define @t354 () (tptp.relation_dom_restriction @t55 @t1)) % 5.23/5.50 (define @t355 () (tptp.in @t8 (tptp.relation_dom @t354))) % 5.23/5.50 (define @t356 () (tptp.one_to_one @t8)) % 5.23/5.50 (define @t357 () (tptp.set_union2 @t8 @t55)) % 5.23/5.50 (define @t358 () (tptp.set_intersection2 @t8 @t55)) % 5.23/5.50 (define @t359 () (tptp.set_difference @t8 @t55)) % 5.23/5.50 (define @t360 () (tptp.below_refl @t1 @t8 @t55)) % 5.23/5.50 (define @t361 () (and @t47 @t44 @t43 @t42 @t6 @t72 @t71)) % 5.23/5.50 (define @t362 () (@var "K" $$unsorted)) % 5.23/5.50 (define @t363 () (@var "J" $$unsorted)) % 5.23/5.50 (define @t364 () (tptp.in @t362 @t363)) % 5.23/5.50 (define @t365 () (@list @t362)) % 5.23/5.50 (define @t366 () (@list @t363)) % 5.23/5.50 (define @t367 () (= @t86 @t98)) % 5.23/5.50 (define @t368 () (@var "I" $$unsorted)) % 5.23/5.50 (define @t369 () (@var "H" $$unsorted)) % 5.23/5.50 (define @t370 () (tptp.in @t368 @t369)) % 5.23/5.50 (define @t371 () (@list @t368)) % 5.23/5.50 (define @t372 () (@list @t369)) % 5.23/5.50 (define @t373 () (exists @t372 (and (= @t55 @t369) (tptp.in @t98 @t369) (forall @t371 (=> @t370 (tptp.in (tptp.ordered_pair @t98 @t368) @t8)))))) % 5.23/5.50 (define @t374 () (@var "G" $$unsorted)) % 5.23/5.50 (define @t375 () (tptp.in @t374 @t194)) % 5.23/5.50 (define @t376 () (@list @t374)) % 5.23/5.50 (define @t377 () (exists @t258 (and @t340 (tptp.in @t86 @t194) (forall @t376 (=> @t375 (tptp.in (tptp.ordered_pair @t86 @t374) @t8)))))) % 5.23/5.50 (define @t378 () (forall @t260 (=> (and @t88 @t377 @t88 @t373) @t367))) % 5.23/5.50 (define @t379 () (and @t190 @t94)) % 5.23/5.50 (define @t380 () (= @t86 @t350)) % 5.23/5.50 (define @t381 () (= @t55 @t350)) % 5.23/5.50 (define @t382 () (forall @t143 (=> (and @t9 @t381 @t9 @t380) @t87))) % 5.23/5.50 (define @t383 () (tptp.subset_complement @t4 @t369)) % 5.23/5.50 (define @t384 () (= @t369 @t86)) % 5.23/5.50 (define @t385 () (tptp.element @t369 @t122)) % 5.23/5.50 (define @t386 () (forall @t372 (=> @t385 (=> @t384 (= @t98 @t383))))) % 5.23/5.50 (define @t387 () (tptp.complements_of_subsets @t4 @t8)) % 5.23/5.50 (define @t388 () (tptp.in @t86 @t387)) % 5.23/5.50 (define @t389 () (tptp.element @t374 @t122)) % 5.23/5.50 (define @t390 () (forall @t376 (=> @t389 (=> (= @t374 @t55) (= @t98 (tptp.subset_complement @t4 @t374)))))) % 5.23/5.50 (define @t391 () (tptp.in @t55 @t387)) % 5.23/5.50 (define @t392 () (tptp.element @t194 @t122)) % 5.23/5.50 (define @t393 () (forall @t258 (=> @t392 (=> (= @t194 @t55) (= @t86 (tptp.subset_complement @t4 @t194)))))) % 5.23/5.50 (define @t394 () (forall @t260 (=> (and @t391 @t393 @t391 @t390) @t367))) % 5.23/5.50 (define @t395 () (and @t174 @t165)) % 5.23/5.50 (define @t396 () (forall @t260 (=> (and @t166 @t393 @t166 @t390) @t367))) % 5.23/5.50 (define @t397 () (tptp.ordinal @t55)) % 5.23/5.50 (define @t398 () (@var "S" $$unsorted)) % 5.23/5.50 (define @t399 () (@var "T" $$unsorted)) % 5.23/5.50 (define @t400 () (@var "R" $$unsorted)) % 5.23/5.50 (define @t401 () (tptp.powerset (tptp.powerset @t86))) % 5.23/5.50 (define @t402 () (@list @t400)) % 5.23/5.50 (define @t403 () (tptp.in @t86 tptp.omega)) % 5.23/5.50 (define @t404 () (tptp.ordinal @t86)) % 5.23/5.50 (define @t405 () (@var "P" $$unsorted)) % 5.23/5.50 (define @t406 () (@var "Q" $$unsorted)) % 5.23/5.50 (define @t407 () (@var "O" $$unsorted)) % 5.23/5.50 (define @t408 () (@list @t406)) % 5.23/5.50 (define @t409 () (@list @t405)) % 5.23/5.50 (define @t410 () (@list @t407)) % 5.23/5.50 (define @t411 () (@var "M" $$unsorted)) % 5.23/5.50 (define @t412 () (@var "N" $$unsorted)) % 5.23/5.50 (define @t413 () (@var "L" $$unsorted)) % 5.23/5.50 (define @t414 () (@list @t412)) % 5.23/5.50 (define @t415 () (tptp.in @t411 @t413)) % 5.23/5.50 (define @t416 () (@list @t411)) % 5.23/5.50 (define @t417 () (@list @t413)) % 5.23/5.50 (define @t418 () (tptp.succ @t86)) % 5.23/5.50 (define @t419 () (=> @t403 (forall @t108 (=> (tptp.element @t98 @t401) (not (and (not (= @t98 tptp.empty_set)) (forall @t258 (not (and (tptp.in @t194 @t98) (forall @t376 (=> (and (tptp.in @t374 @t98) (tptp.subset @t194 @t374)) (= @t374 @t194)))))))))))) % 5.23/5.50 (define @t420 () (tptp.subset @t8 @t55)) % 5.23/5.50 (define @t421 () (tptp.powerset tptp.empty_set)) % 5.23/5.50 (define @t422 () (tptp.apply @t55 @t194)) % 5.23/5.50 (define @t423 () (tptp.in @t194 @t1)) % 5.23/5.50 (define @t424 () (tptp.relation @t86)) % 5.23/5.50 (define @t425 () (and @t94 @t56 @t230)) % 5.23/5.50 (define @t426 () (forall @t365 (=> @t364 (tptp.in (tptp.ordered_pair @t86 @t362) @t8)))) % 5.23/5.50 (define @t427 () (tptp.in @t86 @t363)) % 5.23/5.50 (define @t428 () (= @t194 @t98)) % 5.23/5.50 (define @t429 () (tptp.cartesian_product2 @t1 @t55)) % 5.23/5.50 (define @t430 () (= @t98 @t194)) % 5.23/5.50 (define @t431 () (tptp.ordered_pair @t362 @t413)) % 5.23/5.50 (define @t432 () (@list @t362 @t413)) % 5.23/5.50 (define @t433 () (= @t86 @t194)) % 5.23/5.50 (define @t434 () (tptp.in @t363 @t368)) % 5.23/5.50 (define @t435 () (tptp.in @t374 @t1)) % 5.23/5.50 (define @t436 () (tptp.ordered_pair @t374 @t369)) % 5.23/5.50 (define @t437 () (= @t436 @t98)) % 5.23/5.50 (define @t438 () (@list @t374 @t369)) % 5.23/5.50 (define @t439 () (tptp.ordered_pair @t363 @t362)) % 5.23/5.50 (define @t440 () (@list @t363 @t362)) % 5.23/5.50 (define @t441 () (= @t98 @t86)) % 5.23/5.50 (define @t442 () (tptp.in @t369 @t1)) % 5.23/5.50 (define @t443 () (= @t55 @t98)) % 5.23/5.50 (define @t444 () (tptp.ordered_pair @t194 @t374)) % 5.23/5.50 (define @t445 () (@list @t194 @t374)) % 5.23/5.50 (define @t446 () (= @t86 @t55)) % 5.23/5.50 (define @t447 () (not (and (not (= @t194 tptp.empty_set)) (forall @t376 (not (and @t375 (forall @t372 (=> (and (tptp.in @t369 @t194) (tptp.subset @t374 @t369)) (= @t369 @t374))))))))) % 5.23/5.50 (define @t448 () (tptp.ordinal @t98)) % 5.23/5.50 (define @t449 () (tptp.subset @t8 @t86)) % 5.23/5.50 (define @t450 () (tptp.in @t98 @t122)) % 5.23/5.50 (define @t451 () (tptp.in (tptp.set_difference @t213 @t86) @t8)) % 5.23/5.50 (define @t452 () (and @t134 @t127 @t165)) % 5.23/5.50 (define @t453 () (tptp.in @t374 @t8)) % 5.23/5.50 (define @t454 () (and @t37 (tptp.element @t8 (tptp.powerset (tptp.powerset @t160))))) % 5.23/5.50 (define @t455 () (= @t86 @t383)) % 5.23/5.50 (define @t456 () (forall @t372 (=> @t385 (=> (= @t369 @t98) @t455)))) % 5.23/5.50 (define @t457 () (tptp.in @t98 @t387)) % 5.23/5.50 (define @t458 () (forall @t410 (=> (tptp.element @t407 @t122) (=> (= @t407 @t411) (= @t412 (tptp.subset_complement @t4 @t407)))))) % 5.23/5.50 (define @t459 () (= (tptp.ordered_pair @t411 @t412) @t98)) % 5.23/5.50 (define @t460 () (@list @t411 @t412)) % 5.23/5.50 (define @t461 () (tptp.cartesian_product2 @t387 @t55)) % 5.23/5.50 (define @t462 () (forall @t417 (=> (tptp.element @t413 @t122) (=> (= @t413 @t363) (= @t362 (tptp.subset_complement @t4 @t413)))))) % 5.23/5.50 (define @t463 () (= @t439 @t194)) % 5.23/5.50 (define @t464 () (tptp.subset_complement @t4 @t368)) % 5.23/5.50 (define @t465 () (tptp.element @t368 @t122)) % 5.23/5.50 (define @t466 () (forall @t371 (=> @t465 (=> (= @t368 @t374) (= @t369 @t464))))) % 5.23/5.50 (define @t467 () (tptp.cartesian_product2 @t8 @t55)) % 5.23/5.50 (define @t468 () (tptp.apply @t55 @t374)) % 5.23/5.50 (define @t469 () (tptp.in (tptp.relation_image @t55 @t98) @t8)) % 5.23/5.50 (define @t470 () (tptp.powerset @t227)) % 5.23/5.50 (define @t471 () (and @t263 @t56 @t230)) % 5.23/5.50 (define @t472 () (tptp.succ @t8)) % 5.23/5.50 (define @t473 () (= @t444 @t98)) % 5.23/5.50 (define @t474 () (exists @t108 (and @t123 @t441 (tptp.closed_subset @t98 @t1) @t449))) % 5.23/5.50 (define @t475 () (tptp.in @t86 @t122)) % 5.23/5.50 (define @t476 () (forall @t372 (=> @t385 (=> (= @t369 @t194) (= @t374 @t383))))) % 5.23/5.50 (define @t477 () (tptp.apply @t8 @t55)) % 5.23/5.50 (define @t478 () (= @t138 @t1)) % 5.23/5.50 (define @t479 () (exists @t17 (and @t94 @t140 @t478 (forall @t116 (=> @t88 (= @t477 @t348)))))) % 5.23/5.50 (define @t480 () (forall @t371 (=> @t465 (=> (= @t368 @t86) (= @t252 @t464))))) % 5.23/5.50 (define @t481 () (forall @t110 (not (forall @t372 (=> @t385 (=> (= @t369 @t55) @t455)))))) % 5.23/5.50 (define @t482 () (tptp.in @t1 tptp.omega)) % 5.23/5.50 (define @t483 () (tptp.element @t86 @t122)) % 5.23/5.50 (define @t484 () (= @t261 tptp.empty_set)) % 5.23/5.50 (define @t485 () (not (and @t184 @t484))) % 5.23/5.50 (define @t486 () (= @t1 @t55)) % 5.23/5.50 (define @t487 () (tptp.relation_rng @t115)) % 5.23/5.50 (define @t488 () (tptp.meet_of_subsets @t1 @t261)) % 5.23/5.50 (define @t489 () (tptp.union_of_subsets @t1 @t261)) % 5.23/5.50 (define @t490 () (=> @t96 (= @t69 @t8))) % 5.23/5.50 (define @t491 () (forall @t12 @t490)) % 5.23/5.50 (define @t492 () (forall @t116 (not (and @t198 (not (tptp.are_equipotent @t55 @t8)) @t210)))) % 5.23/5.50 (define @t493 () (tptp.powerset @t55)) % 5.23/5.50 (define @t494 () (forall @t91 (=> (and @t166 (tptp.subset @t86 @t55)) @t101))) % 5.23/5.50 (define @t495 () (tptp.meet_of_subsets @t4 @t8)) % 5.23/5.50 (define @t496 () (tptp.relation_dom_restriction @t55 @t8)) % 5.23/5.50 (define @t497 () (tptp.relation_image @t8 @t1)) % 5.23/5.50 (define @t498 () (tptp.relation_inverse_image @t8 @t1)) % 5.23/5.50 (define @t499 () (tptp.relation_image @t8 @t498)) % 5.23/5.50 (define @t500 () (tptp.set_intersection2 @t138 @t1)) % 5.23/5.50 (define @t501 () (tptp.subset @t1 @t139)) % 5.23/5.50 (define @t502 () (tptp.relation_of2_as_subset @t86 @t55 @t8)) % 5.23/5.50 (define @t503 () (tptp.relation_rng @t86)) % 5.23/5.50 (define @t504 () (tptp.relation_of2_as_subset @t86 @t55 @t1)) % 5.23/5.50 (define @t505 () (tptp.relation_rng @t259)) % 5.23/5.50 (define @t506 () (tptp.relation_inverse_image @t55 @t8)) % 5.23/5.50 (define @t507 () (tptp.relation_restriction @t55 @t8)) % 5.23/5.50 (define @t508 () (tptp.relation_restriction @t8 @t1)) % 5.23/5.50 (define @t509 () (tptp.relation_dom_restriction @t8 @t1)) % 5.23/5.50 (define @t510 () (tptp.relation_field @t55)) % 5.23/5.50 (define @t511 () (tptp.in @t1 @t510)) % 5.23/5.50 (define @t512 () (tptp.subset @t1 @t55)) % 5.23/5.50 (define @t513 () (tptp.meet @t152 @t8 @t55)) % 5.23/5.50 (define @t514 () (tptp.join @t152 @t8 @t55)) % 5.23/5.50 (define @t515 () (and (= @t514 @t357) (= @t513 @t358))) % 5.23/5.50 (define @t516 () (tptp.the_carrier @t152)) % 5.23/5.50 (define @t517 () (tptp.element @t55 @t516)) % 5.23/5.50 (define @t518 () (=> @t517 @t515)) % 5.23/5.50 (define @t519 () (forall @t116 @t518)) % 5.23/5.50 (define @t520 () (tptp.element @t8 @t516)) % 5.23/5.50 (define @t521 () (=> @t520 @t519)) % 5.23/5.50 (define @t522 () (forall @t12 @t521)) % 5.23/5.50 (define @t523 () (tptp.element @t1 @t8)) % 5.23/5.50 (define @t524 () (tptp.in @t1 @t227)) % 5.23/5.50 (define @t525 () (tptp.in @t242 @t55)) % 5.23/5.50 (define @t526 () (tptp.relation_field @t508)) % 5.23/5.50 (define @t527 () (tptp.apply @t55 @t1)) % 5.23/5.50 (define @t528 () (tptp.relation_composition @t55 @t8)) % 5.23/5.50 (define @t529 () (tptp.in @t1 (tptp.relation_dom @t528))) % 5.23/5.50 (define @t530 () (tptp.apply @t86 @t55)) % 5.23/5.50 (define @t531 () (and @t284 (tptp.quasi_total @t86 @t1 @t8) (tptp.relation_of2_as_subset @t86 @t1 @t8))) % 5.23/5.50 (define @t532 () (tptp.reflexive @t8)) % 5.23/5.50 (define @t533 () (tptp.connected @t8)) % 5.23/5.50 (define @t534 () (tptp.transitive @t8)) % 5.23/5.50 (define @t535 () (tptp.antisymmetric @t8)) % 5.23/5.50 (define @t536 () (tptp.well_ordering @t508)) % 5.23/5.50 (define @t537 () (= @t526 @t1)) % 5.23/5.50 (define @t538 () (tptp.well_orders @t8 @t1)) % 5.23/5.50 (define @t539 () (tptp.below @t152 @t8 @t55)) % 5.23/5.50 (define @t540 () (=> @t517 (= @t539 @t420))) % 0.49/5.50 (define @t541 () (forall @t116 @t540)) % 0.49/5.50 (define @t542 () (=> @t520 @t541)) % 0.49/5.50 (define @t543 () (forall @t12 @t542)) % 0.49/5.50 (define @t544 () (not @t543)) % 0.49/5.50 (define @t545 () (tptp.well_founded_relation @t8)) % 0.49/5.50 (define @t546 () (tptp.set_union2 @t1 (tptp.set_difference @t8 @t1))) % 0.49/5.50 (define @t547 () (and @t88 @t166)) % 0.49/5.50 (define @t548 () (not @t255)) % 0.49/5.50 (define @t549 () (= @t1 @t472)) % 0.49/5.50 (define @t550 () (tptp.subset_complement @t1 @t55)) % 0.49/5.50 (define @t551 () (tptp.disjoint @t8 @t55)) % 0.49/5.50 (define @t552 () (tptp.relation_dom @t259)) % 0.49/5.50 (define @t553 () (and (tptp.closed_subset @t86 @t1) @t449)) % 0.49/5.50 (define @t554 () (tptp.element @t8 @t493)) % 0.49/5.50 (define @t555 () (tptp.in @t55 @t76)) % 0.49/5.50 (define @t556 () (= @t124 @t8)) % 0.49/5.50 (define @t557 () (and (tptp.in @t55 @t234) (= @t86 @t477))) % 0.49/5.50 (define @t558 () (tptp.function_inverse @t8)) % 0.49/5.50 (define @t559 () (= @t234 tptp.empty_set)) % 0.49/5.50 (define @t560 () (= @t107 tptp.empty_set)) % 0.49/5.50 (define @t561 () (= (tptp.apply @t354 @t8) (tptp.apply @t55 @t8))) % 0.49/5.50 (define @t562 () (= @t159 (tptp.unordered_pair @t8 @t55))) % 0.49/5.50 (define @t563 () (@var "BOUND_VARIABLE_18506" $$unsorted)) % 0.49/5.50 (define @t564 () (= (tptp.subset @t8 @t563) (tptp.below @t152 @t8 @t563))) % 0.49/5.50 (define @t565 () (not (tptp.element @t563 @t516))) % 0.49/5.50 (define @t566 () (not @t520)) % 0.49/5.50 (define @t567 () (or @t566 @t565 @t564)) % 0.49/5.50 (define @t568 () (@list @t1 @t8 @t563)) % 0.49/5.50 (define @t569 () (forall @t568 @t567)) % 0.49/5.50 (define @t570 () (@quantifiers_skolemize @t569 2)) % 0.49/5.50 (define @t571 () (@quantifiers_skolemize @t569 1)) % 0.49/5.50 (define @t572 () (@list @t571 @t570)) % 0.49/5.50 (define @t573 () (@var "BOUND_VARIABLE_17895" $$unsorted)) % 0.49/5.50 (define @t574 () (and (= (tptp.set_union2 @t8 @t573) (tptp.join @t152 @t8 @t573)) (= (tptp.set_intersection2 @t8 @t573) (tptp.meet @t152 @t8 @t573)))) % 0.49/5.50 (define @t575 () (not (tptp.element @t573 @t516))) % 0.49/5.50 (define @t576 () (or @t566 @t575 @t574)) % 0.49/5.50 (define @t577 () (or @t575 @t574)) % 0.49/5.50 (define @t578 () (or @t566 @t577)) % 0.49/5.50 (define @t579 () (@list @t1 @t8 @t573)) % 0.49/5.50 (define @t580 () (forall @t579 @t578)) % 0.49/5.50 (define @t581 () (@list @t573)) % 0.49/5.50 (define @t582 () (forall @t581 @t578)) % 0.49/5.50 (define @t583 () (forall @t581 @t577)) % 0.49/5.50 (define @t584 () (@list @t55)) % 0.49/5.50 (define @t585 () (or @t566 @t583)) % 0.49/5.50 (define @t586 () (and (= @t357 @t514) (= @t358 @t513))) % 0.49/5.50 (define @t587 () (not @t517)) % 0.49/5.50 (define @t588 () (forall @t116 (or @t587 @t586))) % 0.49/5.50 (define @t589 () (@quantifiers_skolemize @t569 0)) % 0.49/5.50 (define @t590 () (tptp.boole_lattice @t589)) % 0.49/5.50 (define @t591 () (= (tptp.set_intersection2 @t571 @t570) (tptp.meet @t590 @t571 @t570))) % 0.49/5.50 (define @t592 () (tptp.set_union2 @t571 @t570)) % 0.49/5.50 (define @t593 () (tptp.join @t590 @t571 @t570)) % 0.49/5.50 (define @t594 () (and (= @t592 @t593) @t591)) % 0.49/5.50 (define @t595 () (tptp.the_carrier @t590)) % 0.49/5.50 (define @t596 () (tptp.element @t570 @t595)) % 0.49/5.50 (define @t597 () (not @t596)) % 0.49/5.50 (define @t598 () (tptp.element @t571 @t595)) % 0.49/5.50 (define @t599 () (not @t598)) % 0.49/5.50 (define @t600 () (or @t599 @t597 @t594)) % 0.49/5.50 (define @t601 () (forall @t579 @t576)) % 0.49/5.50 (define @t602 () (= @t593 @t592)) % 0.49/5.50 (define @t603 () (and @t602 @t591)) % 0.49/5.50 (define @t604 () (or @t599 @t597 @t603)) % 0.49/5.50 (define @t605 () (@list false)) % 0.49/5.50 (define @t606 () (or @t565 @t564)) % 0.49/5.50 (define @t607 () (or @t566 @t606)) % 0.49/5.50 (define @t608 () (forall @t568 @t607)) % 0.49/5.50 (define @t609 () (@list @t563)) % 0.49/5.50 (define @t610 () (forall @t609 @t607)) % 0.49/5.50 (define @t611 () (forall @t609 @t606)) % 0.49/5.50 (define @t612 () (or @t566 @t611)) % 0.49/5.50 (define @t613 () (= @t420 @t539)) % 0.49/5.50 (define @t614 () (forall @t116 (or @t587 @t613))) % 0.49/5.50 (define @t615 () (tptp.below @t590 @t571 @t570)) % 0.49/5.50 (define @t616 () (tptp.subset @t571 @t570)) % 0.49/5.50 (define @t617 () (= @t616 @t615)) % 0.49/5.50 (define @t618 () (or @t599 @t597 @t617)) % 0.49/5.50 (define @t619 () (@list true)) % 0.49/5.50 (define @t620 () (@list @t618)) % 0.49/5.50 (define @t621 () (= @t8 @t69)) % 0.49/5.50 (define @t622 () (= @t570 @t592)) % 0.49/5.50 (define @t623 () (not @t616)) % 0.49/5.50 (define @t624 () (or @t623 @t622)) % 0.49/5.50 (define @t625 () (@var "BOUND_VARIABLE_12960" $$unsorted)) % 0.49/5.50 (define @t626 () (@var "BOUND_VARIABLE_12958" $$unsorted)) % 0.49/5.50 (define @t627 () (= (tptp.below @t1 @t626 @t625) (= @t625 (tptp.join @t1 @t626 @t625)))) % 0.49/5.50 (define @t628 () (not (tptp.element @t625 @t4))) % 0.49/5.50 (define @t629 () (not (tptp.element @t626 @t4))) % 0.49/5.50 (define @t630 () (not @t73)) % 0.49/5.50 (define @t631 () (or @t629 @t628 @t627)) % 0.49/5.50 (define @t632 () (or @t46 @t630 @t631)) % 0.49/5.50 (define @t633 () (forall (@list @t1 @t626 @t625) @t632)) % 0.49/5.50 (define @t634 () (@list @t626 @t625)) % 0.49/5.50 (define @t635 () (forall @t634 @t632)) % 0.49/5.50 (define @t636 () (forall @t634 @t631)) % 0.49/5.50 (define @t637 () (@var "BOUND_VARIABLE_12940" $$unsorted)) % 0.49/5.50 (define @t638 () (or @t46 @t630 @t636)) % 0.49/5.50 (define @t639 () (= (tptp.below @t1 @t8 @t637) (= @t637 (tptp.join @t1 @t8 @t637)))) % 0.49/5.50 (define @t640 () (not (tptp.element @t637 @t4))) % 0.49/5.50 (define @t641 () (not @t72)) % 0.49/5.50 (define @t642 () (or @t641 @t640 @t639)) % 0.49/5.50 (define @t643 () (@list @t8 @t637)) % 0.49/5.50 (define @t644 () (forall @t643 @t642)) % 0.49/5.50 (define @t645 () (or @t46 @t630 @t644)) % 0.49/5.50 (define @t646 () (or @t640 @t639)) % 0.49/5.50 (define @t647 () (or @t641 @t646)) % 0.49/5.50 (define @t648 () (forall @t643 @t647)) % 0.49/5.50 (define @t649 () (@list @t637)) % 0.49/5.50 (define @t650 () (forall @t649 @t647)) % 0.49/5.50 (define @t651 () (forall @t649 @t646)) % 0.49/5.50 (define @t652 () (or @t641 @t651)) % 0.49/5.50 (define @t653 () (= @t202 (= @t55 @t154))) % 0.49/5.50 (define @t654 () (forall @t116 (or (not @t71) @t653))) % 0.49/5.50 (define @t655 () (forall @t7 @t279)) % 0.49/5.50 (define @t656 () (@list @t1)) % 0.49/5.50 (define @t657 () (forall @t7 @t280)) % 0.49/5.50 (define @t658 () (and @t657 @t655)) % 0.49/5.50 (define @t659 () (@list @t589)) % 0.49/5.50 (define @t660 () (tptp.join_semilatt_str @t590)) % 0.49/5.50 (define @t661 () (and (tptp.meet_semilatt_str @t590) @t660)) % 0.49/5.50 (define @t662 () (tptp.latt_str @t590)) % 0.49/5.50 (define @t663 () (not @t662)) % 0.49/5.50 (define @t664 () (or @t663 @t661)) % 0.49/5.50 (define @t665 () (@list false false)) % 0.49/5.50 (define @t666 () (forall @t7 @t312)) % 0.49/5.50 (define @t667 () (and @t666 @t657)) % 0.49/5.50 (define @t668 () (= @t570 @t593)) % 0.49/5.50 (define @t669 () (= @t615 @t668)) % 0.49/5.50 (define @t670 () (not @t660)) % 0.49/5.50 (define @t671 () (tptp.empty_carrier @t590)) % 0.49/5.50 (define @t672 () (or @t671 @t670 @t599 @t597 @t669)) % 0.49/5.50 (define @t673 () (not @t669)) % 0.49/5.50 (define @t674 () (not @t668)) % 0.49/5.50 (define @t675 () (and @t622 @t602)) % 0.49/5.50 (define @t676 () (not @t602)) % 0.49/5.50 (define @t677 () (tptp.subset @t571 @t592)) % 0.49/5.50 (define @t678 () (not @t677)) % 0.49/5.50 (define @t679 () (and @t677 @t602 @t668 @t623)) % 0.49/5.50 (assume @p1 (forall @t7 (=> @t6 (=> @t5 (= @t1 (tptp.latt_str_of @t4 @t3 @t2)))))) % 0.49/5.50 (assume @p2 (forall @t12 (=> @t11 @t10))) % 0.49/5.50 (assume @p3 (forall @t12 (=> @t14 (not @t13)))) % 0.49/5.50 (assume @p4 (forall @t7 (=> @t18 (forall @t17 (=> @t16 @t15))))) % 0.49/5.50 (assume @p5 (forall @t7 (=> @t20 (forall @t17 (=> @t16 (and @t15 @t19)))))) % 0.49/5.50 (assume @p6 (forall @t7 (=> @t22 (forall @t17 (=> @t16 (and @t15 @t19 @t21)))))) % 0.49/5.50 (assume @p7 (forall @t7 (=> @t24 (forall @t17 (=> @t16 (and @t15 @t19 @t23 @t21)))))) % 0.49/5.50 (assume @p8 (forall @t7 (=> @t26 (forall @t17 (=> @t16 (and @t15 @t25 @t19 @t23 @t21)))))) % 0.49/5.50 (assume @p9 (forall @t7 (=> @t27 (and @t18 @t20 @t22 @t24 @t26)))) % 0.49/5.50 (assume @p10 (forall @t7 (=> @t18 (forall @t17 (=> @t30 @t28))))) % 0.49/5.50 (assume @p11 (forall @t7 (=> @t20 (forall @t17 (=> @t30 (and @t28 @t31)))))) % 0.49/5.50 (assume @p12 (forall @t7 (=> @t22 (forall @t17 (=> @t30 (and @t28 @t31 @t32)))))) % 0.49/5.50 (assume @p13 (forall @t7 (=> @t24 (forall @t17 (=> @t30 (and @t28 @t31 @t32 @t33)))))) % 0.49/5.50 (assume @p14 (forall @t7 (=> @t37 (forall @t17 (=> @t16 (and @t36 @t35 @t34)))))) % 0.49/5.50 (assume @p15 (forall @t7 (=> @t27 @t38))) % 0.49/5.50 (assume @p16 (forall @t7 (=> @t40 @t39))) % 0.49/5.50 (assume @p17 (forall @t7 (=> @t27 @t41))) % 0.49/5.50 (assume @p18 (forall @t7 (=> @t6 (=> @t50 @t48)))) % 0.49/5.50 (assume @p19 (forall @t7 (=> @t26 @t24))) % 0.49/5.50 (assume @p20 (forall @t7 (=> @t37 @t53))) % 0.49/5.50 (assume @p21 (forall @t7 (=> @t27 @t54))) % 0.49/5.50 (assume @p22 (forall @t59 (=> @t58 @t56))) % 0.49/5.50 (assume @p23 (forall @t7 (=> @t26 (forall @t17 (=> @t30 (and @t28 @t31 @t32 @t33 (tptp.v5_membered @t8))))))) % 0.49/5.50 (assume @p24 (forall @t7 (=> (and @t27 @t37) @t61))) % 0.49/5.50 (assume @p25 (forall @t7 (=> @t38 (forall @t17 (=> @t30 @t62))))) % 0.49/5.50 (assume @p26 (forall @t7 (=> @t39 @t40))) % 0.49/5.50 (assume @p27 (forall @t7 (=> @t65 @t64))) % 0.49/5.50 (assume @p28 (forall @t7 (=> @t6 (=> @t48 @t50)))) % 0.49/5.50 (assume @p29 (forall @t7 (=> @t24 @t22))) % 0.49/5.50 (assume @p30 (forall @t7 (=> @t53 @t37))) % 0.49/5.50 (assume @p31 (forall @t7 (=> (tptp.element @t1 tptp.omega) @t61))) % 0.49/5.50 (assume @p32 (forall @t7 (=> @t22 @t20))) % 0.49/5.50 (assume @p33 (forall @t7 (=> @t27 @t66))) % 0.49/5.50 (assume @p34 (forall @t7 (=> @t20 @t18))) % 0.49/5.50 (assume @p35 (forall @t12 (= @t67 (tptp.unordered_pair @t8 @t1)))) % 0.49/5.50 (assume @p36 (forall @t12 (= @t69 @t68))) % 0.49/5.50 (assume @p37 (forall @t59 (=> @t74 (= @t70 (tptp.join_commut @t1 @t55 @t8))))) % 0.49/5.50 (assume @p38 (forall @t12 (= @t76 @t75))) % 0.49/5.50 (assume @p39 (forall @t59 (=> @t79 (= @t77 (tptp.meet_commut @t1 @t55 @t8))))) % 0.49/5.50 (assume @p40 (forall @t59 (=> @t82 (= @t80 (tptp.subset_union2 @t1 @t55 @t8))))) % 0.49/5.50 (assume @p41 (forall @t59 (=> @t82 (= @t83 (tptp.subset_intersection2 @t1 @t55 @t8))))) % 0.49/5.50 (assume @p42 (forall @t12 (=> @t85 (or @t84 (tptp.ordinal_subset @t8 @t1))))) % 0.49/5.50 (assume @p43 (forall @t12 (=> @t94 (= @t93 (forall @t91 (= @t90 (and @t88 @t87))))))) % 0.49/5.50 (assume @p44 (forall @t12 (= @t97 (and @t96 @t95)))) % 0.49/5.50 (assume @p45 (forall @t7 (=> @t54 (forall @t105 (=> @t56 (= (= @t55 @t104) (forall @t103 (= @t102 (and @t101 @t100))))))))) % 0.49/5.50 (assume @p46 (forall @t7 (=> @t113 (forall @t105 (= @t112 (forall @t110 (= @t109 (exists @t108 (and (tptp.in @t98 @t107) @t106 (= @t86 (tptp.apply @t1 @t98))))))))))) % 0.49/5.50 (assume @p47 (forall @t12 (=> @t94 (forall @t116 (=> @t56 (= (= @t55 @t115) (forall @t103 (= @t102 (and @t114 (tptp.in @t99 @t8)))))))))) % 0.49/5.50 (assume @p48 (forall @t7 (=> @t54 (= @t118 (tptp.is_antisymmetric_in @t1 @t117))))) % 0.49/5.50 (assume @p49 (forall @t7 (=> @t113 (forall @t105 (= @t121 (forall @t110 (= @t109 (and @t120 (tptp.in @t119 @t8))))))))) % 0.49/5.50 (assume @p50 (forall @t7 (=> @t127 (forall @t17 (=> @t126 (forall @t116 (=> @t125 (= (= @t55 @t124) (forall @t110 (=> (tptp.in @t86 @t4) (= @t109 (forall @t108 (=> @t123 (not (and (tptp.open_subset @t98 @t1) (tptp.in @t86 @t98) (tptp.disjoint @t8 @t98)))))))))))))))) % 0.49/5.50 (assume @p51 (forall @t7 (=> @t54 (forall @t105 (= @t112 (forall @t110 (= @t109 (exists @t108 (and (tptp.in @t128 @t1) @t106))))))))) % 0.49/5.50 (assume @p52 (forall @t7 (=> @t54 (forall @t105 (= @t121 (forall @t110 (= @t109 (exists @t108 (and @t100 @t106))))))))) % 0.49/5.50 (assume @p53 (forall @t7 (=> @t54 (= @t129 (tptp.is_connected_in @t1 @t117))))) % 0.49/5.50 (assume @p54 (forall @t7 (=> @t54 (= @t130 (tptp.is_transitive_in @t1 @t117))))) % 0.49/5.50 (assume @p55 (forall @t7 (=> @t113 (forall @t105 (= (tptp.apply_binary @t1 @t8 @t55) (tptp.apply @t1 @t131)))))) % 0.49/5.50 (assume @p56 (forall @t7 (=> @t135 (forall @t17 (=> @t72 (forall @t116 (=> @t125 (= @t133 (tptp.in @t8 @t132))))))))) % 0.49/5.50 (assume @p57 (forall @t137 (= (= @t86 (tptp.unordered_triple @t1 @t8 @t55)) (forall @t108 (= @t136 (not (and (not (= @t98 @t1)) (not (= @t98 @t8)) (not (= @t98 @t55))))))))) % 0.49/5.50 (assume @p58 (forall @t7 (= @t38 (exists @t17 (and @t94 @t140 (= @t139 @t1) (tptp.in @t138 tptp.omega)))))) % 0.49/5.50 (assume @p59 (forall @t7 (= @t41 (forall @t143 (=> (and @t142 @t141) @t87))))) % 0.49/5.50 (assume @p60 (forall @t59 (=> @t149 (and (=> (=> @t147 @t146) (= @t145 (= @t1 @t148))) (=> @t147 (or @t146 (= @t145 @t144))))))) % 0.49/5.50 (assume @p61 (forall @t12 (=> (and (tptp.strict_latt_str @t8) @t153) (= (= @t8 @t152) (and (= @t151 @t29) (forall @t116 (=> @t81 (forall @t110 (=> @t150 (and (= (tptp.apply_binary (tptp.the_L_join @t8) @t55 @t86) (tptp.subset_union2 @t1 @t55 @t86)) (= (tptp.apply_binary (tptp.the_L_meet @t8) @t55 @t86) (tptp.subset_intersection2 @t1 @t55 @t86)))))))))))) % 0.49/5.50 (assume @p62 (forall @t7 (=> @t155 (forall @t17 (=> @t72 (forall @t116 (=> @t71 (= @t154 (tptp.apply_binary_as_element @t4 @t4 @t4 @t3 @t8 @t55))))))))) % 0.49/5.50 (assume @p63 (forall @t7 (=> @t158 (forall @t17 (= (= @t8 (tptp.pair_first @t1)) (forall @t91 (=> @t157 @t156))))))) % 0.49/5.50 (assume @p64 (forall @t7 (= @t160 (tptp.set_union2 @t1 @t159)))) % 0.49/5.50 (assume @p65 (forall @t7 (=> @t127 (= @t134 (and (tptp.in @t4 @t161) (forall @t17 (=> @t165 (=> (tptp.subset @t8 @t161) (tptp.in @t163 @t161)))) (forall @t17 (=> @t126 (forall @t116 (=> @t125 (=> (and @t162 (tptp.in @t55 @t161)) (tptp.in (tptp.subset_intersection2 @t4 @t8 @t55) @t161))))))))))) % 0.49/5.50 (assume @p66 (forall @t7 (= @t54 (forall @t17 (not (and @t9 (forall @t91 (not (= @t8 @t89))))))))) % 0.49/5.50 (assume @p67 (forall @t7 (=> @t54 (forall @t17 (= @t167 (forall @t116 (=> @t166 (tptp.in (tptp.ordered_pair @t55 @t55) @t1)))))))) % 0.49/5.50 (assume @p68 (forall @t59 (= @t168 (tptp.subset @t55 @t57)))) % 0.49/5.50 (assume @p69 (forall @t12 (and (=> @t172 (= @t169 (forall @t116 (= @t166 (forall @t110 (=> @t171 @t170)))))) (=> @t146 (= @t169 @t147))))) % 0.49/5.50 (assume @p70 (forall @t7 (=> @t174 (= @t46 @t173)))) % 0.49/5.50 (assume @p71 (forall @t12 (= (= @t8 @t159) (forall @t116 (= @t166 (= @t55 @t1)))))) % 0.49/5.50 (assume @p72 (forall @t7 (=> @t127 (forall @t17 (=> @t126 (= @t176 (tptp.subset_complement @t4 (tptp.topstr_closure @t1 @t175)))))))) % 0.49/5.50 (assume @p73 (forall @t7 (=> @t127 (forall @t17 (=> @t165 (= @t178 (forall @t116 (=> @t125 (=> @t166 @t177))))))))) % 0.49/5.50 (assume @p74 (forall @t7 (=> @t54 (forall @t105 (= (= @t55 (tptp.fiber @t1 @t8)) (forall @t110 (= @t109 (and (not @t179) (tptp.in (tptp.ordered_pair @t86 @t8) @t1))))))))) % 0.49/5.50 (assume @p75 (forall @t12 (=> @t94 (= (= @t8 @t182) (and (= @t181 @t1) (forall @t91 (=> (and @t88 @t171) (= @t90 @t180)))))))) % 0.49/5.50 (assume @p76 (forall @t7 (= @t146 (forall @t17 @t10)))) % 0.49/5.50 (assume @p77 (forall @t12 (= (= @t8 @t29) (forall @t116 (= @t166 (tptp.subset @t55 @t1)))))) % 0.49/5.50 (assume @p78 (forall @t7 (= (tptp.centered @t1) (and @t172 (forall @t17 (not (and @t184 @t95 @t62 (= @t183 tptp.empty_set)))))))) % 0.49/5.50 (assume @p79 (forall @t7 (=> (and @t47 @t78) (forall @t17 (=> @t72 (forall @t116 (=> @t71 (= @t185 (tptp.apply_binary_as_element @t4 @t4 @t4 @t2 @t8 @t55))))))))) % 0.49/5.50 (assume @p80 (forall @t7 (=> @t158 (forall @t17 (= (= @t8 (tptp.pair_second @t1)) (forall @t91 (=> @t157 @t186))))))) % 0.49/5.50 (assume @p81 (forall @t7 (= @t52 (forall @t17 (=> @t9 @t95))))) % 0.49/5.50 (assume @p82 (forall @t7 (=> @t174 (= @t187 tptp.empty_set)))) % 0.49/5.50 (assume @p83 (forall @t7 (=> @t54 (forall @t17 (=> @t94 (= @t97 (forall @t91 (= @t188 @t90)))))))) % 0.49/5.50 (assume @p84 (forall @t12 (and (=> @t190 (= @t16 @t9)) (=> @t27 (= @t16 @t189))))) % 0.49/5.50 (assume @p85 (forall @t59 (= (= @t55 @t67) (forall @t110 (= @t109 (or (= @t86 @t1) @t179)))))) % 0.49/5.50 (assume @p86 (forall @t7 (=> @t127 (forall @t17 (=> @t165 (= @t192 @t191)))))) % 0.49/5.50 (assume @p87 (forall @t7 (=> @t54 (= @t193 (forall @t17 (not (and (tptp.subset @t8 @t117) @t184 (forall @t116 (not (and @t166 (tptp.disjoint (tptp.fiber @t1 @t55) @t8))))))))))) % 0.49/5.50 (assume @p88 (forall @t59 (= (= @t55 @t69) (forall @t110 (= @t109 (or @t171 @t101)))))) % 0.49/5.50 (assume @p89 (forall @t59 (= (= @t55 @t57) (forall @t110 (= @t109 (exists @t197 (and @t114 @t196 (= @t86 @t195)))))))) % 0.49/5.50 (assume @p90 (forall @t7 (=> @t127 (= @t201 (forall @t17 (=> @t165 (not (and @t200 @t178 (forall @t116 (=> @t199 (not (and @t198 (tptp.is_a_cover_of_carrier @t1 @t55) (tptp.finite @t55))))))))))))) % 0.49/5.50 (assume @p91 @t209) % 0.49/5.50 (assume @p92 (forall @t7 (= @t51 (forall @t105 (not (and @t9 @t88 (not @t212) @t211 @t210)))))) % 0.49/5.50 (assume @p93 (forall @t7 (=> @t174 (= @t213 @t4)))) % 0.49/5.50 (assume @p94 (forall @t7 (=> @t54 (forall @t17 (=> @t94 (= @t96 (forall @t91 (=> @t188 @t90)))))))) % 0.49/5.50 (assume @p95 (forall @t12 (= @t96 @t214))) % 0.49/5.50 (assume @p96 (forall @t7 (=> @t54 (forall @t17 (= @t216 (forall @t116 (not (and @t198 @t215 (forall @t110 (not (and @t109 (tptp.disjoint (tptp.fiber @t1 @t86) @t55)))))))))))) % 0.49/5.50 (assume @p97 (forall @t59 (= (= @t55 @t76) (forall @t110 (= @t109 (and @t171 @t101)))))) % 0.49/5.50 (assume @p98 (forall @t7 (=> @t113 (forall @t105 (and (=> @t219 (= @t218 @t142)) (=> (not @t219) (= @t218 @t144))))))) % 0.49/5.50 (assume @p99 (forall @t7 (= @t37 @t53))) % 0.49/5.50 (assume @p100 (forall @t7 (=> @t54 (forall @t17 (= (= @t8 @t107) (forall @t116 (= @t166 (exists @t110 @t188)))))))) % 0.49/5.50 (assume @p101 (forall @t7 (=> @t54 (forall @t17 (= @t221 (forall @t91 (=> (and @t166 @t101 @t188 @t220) @t87))))))) % 0.49/5.50 (assume @p102 (forall @t7 (= @t222 @t1))) % 0.49/5.50 (assume @p103 (forall @t12 (= (= @t8 @t223) (forall @t116 (= @t166 (exists @t110 (and @t170 @t171))))))) % 0.49/5.50 (assume @p104 (forall @t7 (=> @t54 (= @t225 (and @t224 @t130 @t118 @t129 @t193))))) % 0.49/5.50 (assume @p105 (forall @t12 (= @t231 (exists @t116 (and @t56 @t230 @t229 @t228 (= @t226 @t8)))))) % 0.49/5.50 (assume @p106 (forall @t59 (= (= @t55 @t232) (forall @t110 (= @t109 (and @t171 (not @t101))))))) % 0.49/5.50 (assume @p107 (forall @t7 (=> @t113 (forall @t17 (= @t235 (forall @t116 (= @t166 (exists @t110 @t233)))))))) % 0.49/5.50 (assume @p108 (forall @t7 (=> @t238 (= @t237 (tptp.is_transitive_in @t236 @t4))))) % 0.49/5.50 (assume @p109 (forall @t7 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t239 @t37 (forall @t17 (=> @t34 (=> (and (tptp.in tptp.empty_set @t8) (tptp.being_limit_ordinal @t8)) @t96))))))) % 0.49/5.50 (assume @p110 (forall @t7 (=> @t127 (forall @t17 (=> @t126 (= @t240 @t162)))))) % 0.49/5.50 (assume @p111 (forall @t7 (=> @t54 (forall @t17 (= @t235 (forall @t116 (= @t166 (exists @t110 @t220)))))))) % 0.49/5.50 (assume @p112 (forall @t12 (=> @t30 (= @t241 @t232)))) % 0.49/5.50 (assume @p113 (forall @t12 (= @t242 (tptp.unordered_pair @t67 @t159)))) % 0.49/5.50 (assume @p114 (forall @t7 (=> @t54 (forall @t17 (= (tptp.well_orders @t1 @t8) (and @t167 @t244 @t221 @t243 @t216)))))) % 0.49/5.50 (assume @p115 (forall @t7 (=> @t238 (= @t245 (tptp.is_antisymmetric_in @t236 @t4))))) % 0.49/5.50 (assume @p116 (forall @t7 (= @t239 (= @t1 @t223)))) % 0.49/5.50 (assume @p117 (forall @t7 (=> @t127 (forall @t17 (=> @t126 (= @t247 (tptp.open_subset @t246 @t1))))))) % 0.49/5.50 (assume @p118 (forall @t7 (=> @t54 (= @t117 (tptp.set_union2 @t107 @t234))))) % 0.49/5.50 (assume @p119 (forall @t7 (=> @t54 (forall @t17 (= @t243 (forall @t91 (not (and @t166 @t101 (not @t87) (not @t188) (not @t220))))))))) % 0.49/5.50 (assume @p120 (forall @t7 (=> @t54 (forall @t17 (= @t249 (tptp.set_intersection2 @t1 @t248)))))) % 0.49/5.50 (assume @p121 (forall @t7 (=> @t54 (forall @t17 (=> @t94 (= (= @t8 @t250) (forall @t91 (= @t90 @t220)))))))) % 0.49/5.50 (assume @p122 (forall @t7 (=> @t54 (forall @t17 (=> @t94 (forall @t116 (=> @t254 (= @t253 (and (= @t227 @t117) (= @t226 @t181) @t229 (forall @t103 (= @t100 (and (tptp.in @t86 @t117) (tptp.in @t98 @t117) (tptp.in (tptp.ordered_pair @t252 @t251) @t8))))))))))))) % 0.49/5.50 (assume @p123 (forall @t12 (= @t255 (= @t76 tptp.empty_set)))) % 0.49/5.50 (assume @p124 (forall @t7 (=> @t257 (= @t256 (tptp.a_1_0_filter_1 @t1))))) % 0.49/5.50 (assume @p125 (forall @t7 (=> @t113 (= @t63 (forall @t105 (=> (and @t219 (tptp.in @t55 @t107) (= @t217 (tptp.apply @t1 @t55))) @t156)))))) % 0.49/5.50 (assume @p126 (forall @t7 (=> (and @t47 @t6) (= @t43 (forall @t17 (=> @t72 (forall @t116 (=> @t71 (= (tptp.join @t1 @t185 @t55) @t55))))))))) % 0.49/5.50 (assume @p127 (forall @t7 (=> @t174 (forall @t17 (=> @t165 (= @t200 (= @t213 @t163))))))) % 0.49/5.50 (assume @p128 (forall @t7 (=> @t54 (forall @t17 (=> @t94 (forall @t116 (=> @t56 (= (= @t55 @t259) (forall @t103 (= @t102 (exists @t258 (and (tptp.in (tptp.ordered_pair @t86 @t194) @t1) (tptp.in (tptp.ordered_pair @t194 @t98) @t8))))))))))))) % 0.49/5.50 (assume @p129 (forall @t7 (=> @t54 (forall @t17 (= @t244 (forall @t260 (=> (and @t166 @t101 @t106 @t188 @t100) (tptp.in (tptp.ordered_pair @t55 @t98) @t1)))))))) % 0.49/5.50 (assume @p130 (forall @t12 (=> @t263 (forall @t116 (=> (tptp.element @t55 @t262) (= (= @t55 @t261) (forall @t110 (=> @t150 (= @t109 (tptp.in (tptp.subset_complement @t1 @t86) @t8)))))))))) % 0.49/5.50 (assume @p131 (forall @t12 (= @t14 (and @t96 @t264)))) % 0.49/5.50 (assume @p132 (forall @t7 (=> @t113 (=> @t63 (= @t265 @t250))))) % 0.49/5.50 (assume @p133 (forall @t7 (=> @t238 (forall @t17 (=> @t72 (forall @t116 (=> @t71 (= @t266 (tptp.in @t131 @t236))))))))) % 0.49/5.50 (assume @p134 (forall @t7 (=> @t54 (= @t224 (tptp.is_reflexive_in @t1 @t117))))) % 0.49/5.50 (assume @p135 (forall @t59 (=> @t274 (and @t268 (tptp.latt_str @t267))))) % 0.49/5.50 (assume @p136 true) % 0.49/5.50 (assume @p137 (forall @t137 (=> @t278 (tptp.element @t275 @t57)))) % 0.49/5.50 (assume @p138 @t281) % 0.49/5.50 (assume @p139 (forall @t59 (=> (and @t47 @t73 @t72 @t71) (tptp.element @t154 @t4)))) % 0.49/5.50 (assume @p140 (forall @t7 (=> @t174 (tptp.element @t187 @t122)))) % 0.49/5.50 (assume @p141 (forall @t12 (=> @t282 (tptp.element @t176 @t122)))) % 0.49/5.50 (assume @p142 (forall @t7 (tptp.relation @t182))) % 0.49/5.50 (assume @p143 (forall @t286 (=> @t285 (tptp.element @t283 @t55)))) % 0.49/5.50 (assume @p144 (forall @t7 (=> @t113 (and (tptp.relation @t265) (tptp.function @t265))))) % 0.49/5.50 (assume @p145 (forall @t59 (=> (and @t47 @t78 @t72 @t71) (tptp.element @t185 @t4)))) % 0.49/5.50 (assume @p146 (forall @t7 (=> @t174 (tptp.element @t213 @t122)))) % 0.49/5.50 (assume @p147 (forall @t7 (tptp.element @t222 @t29))) % 0.49/5.50 (assume @p148 (forall @t12 (=> @t54 (tptp.relation @t249)))) % 0.49/5.50 (assume @p149 (forall @t59 (=> @t74 (tptp.element @t70 @t4)))) % 0.49/5.50 (assume @p150 (forall @t12 (=> @t30 (tptp.element @t241 @t29)))) % 0.49/5.50 (assume @p151 (forall @t59 (=> @t79 (tptp.element @t77 @t4)))) % 0.49/5.50 (assume @p152 (forall @t7 (=> @t54 @t287))) % 0.49/5.50 (assume @p153 (forall @t59 (=> @t168 (tptp.element @t148 @t29)))) % 0.49/5.50 (assume @p154 (forall @t59 (=> @t82 (tptp.element @t80 @t29)))) % 0.49/5.50 (assume @p155 (forall @t12 (=> @t289 @t288))) % 0.49/5.50 (assume @p156 (forall @t59 (=> @t168 (tptp.element @t291 @t290)))) % 0.49/5.50 (assume @p157 (forall @t12 (=> @t263 (tptp.element @t292 @t29)))) % 0.49/5.50 (assume @p158 (forall @t59 (=> @t82 (tptp.element @t83 @t29)))) % 0.49/5.50 (assume @p159 (forall @t12 (=> @t282 (tptp.element @t124 @t122)))) % 0.49/5.50 (assume @p160 (forall @t7 @t293)) % 0.49/5.50 (assume @p161 (forall @t12 (=> @t263 (tptp.element @t294 @t29)))) % 0.49/5.50 (assume @p162 (forall @t59 (=> @t82 (tptp.element @t295 @t29)))) % 0.49/5.50 (assume @p163 (forall @t12 (=> @t54 @t296))) % 0.49/5.50 (assume @p164 (forall @t12 (=> @t263 (tptp.element @t261 @t262)))) % 0.49/5.50 (assume @p165 (forall @t12 (=> @t94 @t297))) % 0.49/5.50 (assume @p166 (forall @t7 (=> @t257 (tptp.relation @t256)))) % 0.49/5.50 (assume @p167 (forall @t7 (=> @t78 @t174))) % 0.49/5.50 (assume @p168 (forall @t7 (=> @t238 @t174))) % 0.49/5.50 (assume @p169 (forall @t7 (=> @t127 @t174))) % 0.49/5.50 (assume @p170 (forall @t7 (=> @t73 @t174))) % 0.49/5.50 (assume @p171 @t299) % 0.49/5.50 (assume @p172 (forall @t12 (=> @t300 (forall @t116 (=> @t133 @t125))))) % 0.49/5.50 (assume @p173 (forall @t59 (=> @t149 @t58))) % 0.49/5.50 (assume @p174 (forall @t7 (=> @t78 (and (tptp.function @t2) (tptp.quasi_total @t2 @t301 @t4) (tptp.relation_of2_as_subset @t2 @t301 @t4))))) % 0.49/5.50 (assume @p175 (forall @t7 (=> @t238 (tptp.relation_of2_as_subset @t236 @t4 @t4)))) % 0.49/5.50 (assume @p176 (forall @t7 (=> @t127 (tptp.element @t161 @t164)))) % 0.49/5.50 (assume @p177 (forall @t7 (=> @t73 (and (tptp.function @t3) (tptp.quasi_total @t3 @t301 @t4) (tptp.relation_of2_as_subset @t3 @t301 @t4))))) % 0.49/5.50 (assume @p178 (exists @t7 @t78)) % 0.49/5.50 (assume @p179 (exists @t7 @t238)) % 0.49/5.50 (assume @p180 (exists @t7 @t127)) % 0.49/5.50 (assume @p181 (exists @t7 @t174)) % 0.49/5.50 (assume @p182 (exists @t7 @t73)) % 0.49/5.50 (assume @p183 (exists @t7 @t6)) % 0.49/5.50 (assume @p184 (forall @t12 (=> @t300 (exists @t116 @t133)))) % 0.49/5.50 (assume @p185 (forall @t12 (exists @t116 @t168))) % 0.49/5.50 (assume @p186 (forall @t7 (exists @t17 @t16))) % 0.49/5.50 (assume @p187 (forall @t12 (exists @t116 @t149))) % 0.49/5.50 (assume @p188 (forall @t12 (=> @t62 @t302))) % 0.49/5.50 (assume @p189 (forall @t12 (=> @t304 (and (tptp.empty @t303) (tptp.relation @t303))))) % 0.49/5.50 (assume @p190 (forall @t12 (=> @t38 @t302))) % 0.49/5.50 (assume @p191 (forall @t7 (=> @t27 (and (tptp.empty @t250) @t287)))) % 0.49/5.50 (assume @p192 (forall @t12 (=> @t38 (tptp.finite @t232)))) % 0.49/5.50 (assume @p193 (and @t307 @t306 @t305)) % 0.49/5.50 (assume @p194 (forall @t12 (=> (and @t54 @t41 @t62) (tptp.finite @t111)))) % 0.49/5.50 (assume @p195 (forall @t12 (=> @t309 (and @t296 (tptp.relation_empty_yielding @t104))))) % 0.49/5.50 (assume @p196 (forall @t7 (and @t310 (tptp.finite @t159)))) % 0.49/5.50 (assume @p197 (forall @t7 (and @t311 (tptp.cup_closed @t29) (tptp.diff_closed @t29) (tptp.preboolean @t29)))) % 0.49/5.50 (assume @p198 (forall @t12 (=> (and @t54 @t41 @t94 @t140) (and @t288 (tptp.function @t259))))) % 0.49/5.50 (assume @p199 @t313) % 0.49/5.50 (assume @p200 (forall @t7 @t314)) % 0.49/5.50 (assume @p201 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 0.49/5.50 (assume @p202 (forall @t7 (=> @t174 (and (tptp.empty @t187) (tptp.v1_membered @t187) (tptp.v2_membered @t187) (tptp.v3_membered @t187) (tptp.v4_membered @t187) (tptp.v5_membered @t187))))) % 0.49/5.50 (assume @p203 (forall @t12 (=> @t289 (tptp.relation @t76)))) % 0.49/5.50 (assume @p204 (forall @t7 (=> @t315 (not @t173)))) % 0.49/5.50 (assume @p205 (forall @t7 @t311)) % 0.49/5.50 (assume @p206 @t307) % 0.49/5.50 (assume @p207 (forall @t12 (not (tptp.empty @t242)))) % 0.49/5.50 (assume @p208 (forall @t12 (=> @t18 @t316))) % 0.49/5.50 (assume @p209 (forall @t12 (=> @t18 @t317))) % 0.49/5.50 (assume @p210 (forall @t12 (=> @t20 (and @t316 @t318)))) % 0.49/5.50 (assume @p211 (forall @t7 (=> (and @t37 @t60) (and @t314 @t321 @t320 @t319 (tptp.natural @t160))))) % 0.49/5.50 (assume @p212 (forall @t7 (and @t293 (tptp.function @t92)))) % 0.49/5.50 (assume @p213 (and @t306 @t305 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t307 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.49/5.50 (assume @p214 (forall @t7 (=> @t315 (not (tptp.empty @t213))))) % 0.49/5.50 (assume @p215 (forall @t12 (=> @t289 (tptp.relation @t69)))) % 0.49/5.50 (assume @p216 (forall @t7 @t310)) % 0.49/5.50 (assume @p217 (forall @t12 (=> @t322 (tptp.closed_subset @t124 @t1)))) % 0.49/5.50 (assume @p218 (forall @t12 (=> @t190 (not (tptp.empty @t69))))) % 0.49/5.50 (assume @p219 (forall @t12 (=> @t20 (and @t317 @t323)))) % 0.49/5.50 (assume @p220 (forall @t12 (=> @t22 (and @t316 @t318 @t324)))) % 0.49/5.50 (assume @p221 (forall @t12 (=> @t22 (and @t317 @t323 @t325)))) % 0.49/5.50 (assume @p222 (forall @t12 (=> @t24 (and @t316 @t318 @t324 @t326)))) % 0.49/5.50 (assume @p223 (forall @t12 (=> @t24 (and @t317 @t323 @t325 @t327)))) % 0.49/5.50 (assume @p224 (forall @t12 (=> @t26 (and @t316 @t318 @t324 @t326 (tptp.v5_membered @t76))))) % 0.49/5.50 (assume @p225 (forall @t12 (=> @t26 (and @t317 @t323 @t325 @t327 (tptp.v5_membered @t75))))) % 0.49/5.50 (assume @p226 (forall @t12 (=> @t18 @t328))) % 0.49/5.50 (assume @p227 (forall @t12 (=> @t20 (and @t328 @t329)))) % 0.49/5.50 (assume @p228 (forall @t12 (=> @t22 (and @t328 @t329 @t330)))) % 0.49/5.50 (assume @p229 (forall @t7 (=> @t64 (and @t287 (tptp.function @t250))))) % 0.49/5.50 (assume @p230 (forall @t59 (=> (and @t190 @t140 @t273 @t272 @t230 @t271 @t270) (and (not (tptp.empty_carrier @t267)) @t268)))) % 0.49/5.50 (assume @p231 (forall @t7 (=> @t37 (and @t314 @t321 @t320 @t319)))) % 0.49/5.50 (assume @p232 (forall @t12 (=> @t289 (tptp.relation @t232)))) % 0.49/5.50 (assume @p233 (forall @t12 (not (tptp.empty @t67)))) % 0.49/5.50 (assume @p234 (forall @t12 (=> (and @t134 @t127 @t247 @t126) @t331))) % 0.49/5.50 (assume @p235 (forall @t12 (=> @t190 (not (tptp.empty @t68))))) % 0.49/5.50 (assume @p236 (forall @t12 (=> @t24 (and @t328 @t329 @t330 @t332)))) % 0.49/5.50 (assume @p237 (forall @t12 (=> @t26 (and @t328 @t329 @t330 @t332 (tptp.v5_membered @t232))))) % 0.49/5.50 (assume @p238 (forall @t12 (=> @t113 (and @t296 (tptp.function @t104))))) % 0.49/5.50 (assume @p239 (forall @t7 (=> @t37 (and (tptp.epsilon_transitive @t223) (tptp.epsilon_connected @t223) (tptp.ordinal @t223))))) % 0.49/5.50 (assume @p240 (and @t307 @t306)) % 0.49/5.50 (assume @p241 (forall @t12 (=> (and @t190 @t277) (not (tptp.empty @t57))))) % 0.49/5.50 (assume @p242 (forall @t12 (=> (and @t134 @t127 @t240 @t126) @t333))) % 0.49/5.50 (assume @p243 (forall @t12 (=> @t334 (and @t297 (tptp.function @t115))))) % 0.49/5.50 (assume @p244 (forall @t7 (=> @t335 (tptp.closed_subset @t213 @t1)))) % 0.49/5.50 (assume @p245 (forall @t7 (=> @t337 (not @t336)))) % 0.49/5.50 (assume @p246 (and @t307 (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set))) % 0.49/5.50 (assume @p247 (forall @t7 (=> @t337 (not @t338)))) % 0.49/5.50 (assume @p248 (forall @t12 (=> @t322 @t339))) % 0.49/5.50 (assume @p249 (forall @t7 (=> @t27 (and @t336 (tptp.relation @t107))))) % 0.49/5.50 (assume @p250 (forall @t7 (=> @t27 (and @t338 (tptp.relation @t234))))) % 0.49/5.50 (assume @p251 (forall @t12 (=> (and @t38 @t62) (tptp.finite @t69)))) % 0.49/5.50 (assume @p252 (forall @t12 (=> @t304 (and (tptp.empty @t259) @t288)))) % 0.49/5.50 (assume @p253 (forall @t12 (=> (and (not (tptp.empty_carrier @t8)) (tptp.lattice @t8) @t153) (= (tptp.in @t1 (tptp.a_1_0_filter_1 @t8)) (exists @t91 (and (tptp.element @t55 @t151) (tptp.element @t86 @t151) (= @t1 (tptp.ordered_pair_as_product_element @t151 @t151 @t55 @t86)) (tptp.below_refl @t8 @t55 @t86))))))) % 0.49/5.50 (assume @p254 (forall @t59 (=> @t274 (forall @t342 (=> (= @t267 (tptp.latt_str_of @t86 @t98 @t194)) (and @t341 (= @t8 @t98) @t340)))))) % 0.49/5.50 (assume @p255 (forall @t12 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.49/5.50 (assume @p256 (forall @t12 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.49/5.50 (assume @p257 (forall @t59 (=> @t82 (= (tptp.subset_union2 @t1 @t8 @t8) @t8)))) % 0.49/5.50 (assume @p258 (forall @t59 (=> @t82 (= (tptp.subset_intersection2 @t1 @t8 @t8) @t8)))) % 0.49/5.50 (assume @p259 (forall @t12 (=> @t30 (= (tptp.subset_complement @t1 @t241) @t8)))) % 0.49/5.50 (assume @p260 (forall @t7 (=> @t54 (= (tptp.relation_inverse @t250) @t1)))) % 0.49/5.50 (assume @p261 (forall @t12 (=> @t263 (= (tptp.complements_of_subsets @t1 @t261) @t8)))) % 0.49/5.50 (assume @p262 (forall @t12 (not (tptp.proper_subset @t1 @t1)))) % 0.49/5.50 (assume @p263 (forall @t7 (=> @t54 (= @t224 (forall @t17 (=> @t343 (tptp.in (tptp.ordered_pair @t8 @t8) @t1))))))) % 0.49/5.50 (assume @p264 (forall @t7 (not (= @t159 tptp.empty_set)))) % 0.49/5.50 (assume @p265 (forall @t12 (=> @t11 (= (tptp.set_union2 @t159 @t8) @t8)))) % 0.49/5.50 (assume @p266 (forall @t12 (not (and @t344 @t11)))) % 0.49/5.50 (assume @p267 (forall @t12 (=> @t345 @t344))) % 0.49/5.50 (assume @p268 (forall @t12 (=> @t94 (tptp.subset (tptp.relation_dom @t115) @t138)))) % 0.49/5.50 (assume @p269 (forall @t7 (=> @t54 (= @t130 (forall @t143 (=> (and @t142 @t188) @t141)))))) % 0.49/5.50 (assume @p270 (forall @t12 (= (tptp.subset @t159 @t8) @t11))) % 0.49/5.50 (assume @p271 (forall @t12 (=> @t94 (not (and @t346 (tptp.equipotent @t1 @t181) (forall @t116 (=> @t56 (not (tptp.well_orders @t55 @t1))))))))) % 0.49/5.50 (assume @p272 (forall @t12 (= (= @t232 tptp.empty_set) @t96))) % 0.49/5.50 (assume @p273 (forall @t12 (=> @t30 (forall @t116 (=> @t166 @t88))))) % 0.49/5.50 (assume @p274 (forall @t7 (=> @t54 (= @t118 (forall @t105 (=> (and @t142 @t347) @t156)))))) % 0.49/5.50 (assume @p275 (forall @t59 (=> @t96 (or @t88 (tptp.subset @t1 (tptp.set_difference @t8 @t348)))))) % 0.49/5.50 (assume @p276 (forall @t7 (=> @t315 (forall @t17 (=> @t126 (forall @t116 (=> @t71 (= (tptp.in @t55 @t175) @t210)))))))) % 0.49/5.50 (assume @p277 (forall @t7 (=> @t54 (= @t129 (forall @t105 (not (and @t343 (tptp.in @t55 @t117) @t211 @t349 (not @t347)))))))) % 0.49/5.50 (assume @p278 (forall @t12 (= (tptp.subset @t1 @t350) (or @t146 (= @t1 @t350))))) % 0.49/5.50 (assume @p279 (forall @t12 (=> @t11 (tptp.subset @t1 @t351)))) % 0.49/5.50 (assume @p280 (forall @t137 (= (tptp.in @t242 (tptp.cartesian_product2 @t55 @t86)) (and @t352 (tptp.in @t8 @t86))))) % 0.49/5.50 (assume @p281 (forall @t12 (=> @t214 @t353))) % 0.49/5.50 (assume @p282 (forall @t59 (=> @t254 (= @t355 (and (tptp.in @t8 @t227) @t9))))) % 0.49/5.50 (assume @p283 (exists @t7 (and @t190 @t52 @t51 @t37 @t60))) % 0.49/5.50 (assume @p284 (exists @t7 (and @t190 @t38))) % 0.49/5.50 (assume @p285 (exists @t7 @t113)) % 0.49/5.50 (assume @p286 (forall @t12 (exists @t116 (and @t168 @t56 @t230 @t145)))) % 0.49/5.50 (assume @p287 (exists @t7 (and @t190 @t18 @t20 @t22 @t24 @t26))) % 0.49/5.50 (assume @p288 (exists @t7 @t66)) % 0.49/5.50 (assume @p289 (exists @t7 (and @t52 @t51 @t37 @t239))) % 0.49/5.50 (assume @p290 (exists @t7 (and @t54 @t41 @t63 @t27))) % 0.49/5.50 (assume @p291 (exists @t7 (and @t27 @t54))) % 0.49/5.50 (assume @p292 (forall @t7 (=> @t190 (exists @t17 (and @t30 @t277))))) % 0.49/5.50 (assume @p293 (forall @t7 (=> @t335 (exists @t17 (and @t126 @t240))))) % 0.49/5.50 (assume @p294 (exists @t7 @t27)) % 0.49/5.50 (assume @p295 (forall @t7 (exists @t17 (and @t30 @t189 @t94 @t140 @t356 @t36 @t35 @t34 @t25 @t62)))) % 0.49/5.50 (assume @p296 (exists @t7 @t65)) % 0.49/5.50 (assume @p297 (exists @t7 (and @t54 @t41 @t63 @t27 @t52 @t51 @t37))) % 0.49/5.50 (assume @p298 (forall @t12 (exists @t116 (and @t168 @t56 @t230)))) % 0.49/5.50 (assume @p299 (exists @t7 @t337)) % 0.49/5.50 (assume @p300 (forall @t7 (exists @t17 (and @t30 @t189)))) % 0.49/5.50 (assume @p301 (forall @t7 (=> @t335 (exists @t17 (and @t126 @t240 @t247))))) % 0.49/5.50 (assume @p302 (exists @t7 @t190)) % 0.49/5.50 (assume @p303 (forall @t7 (=> @t190 (exists @t17 (and @t30 @t277 @t62))))) % 0.49/5.50 (assume @p304 (exists @t7 @t64)) % 0.49/5.50 (assume @p305 (exists @t7 (and @t6 @t5))) % 0.49/5.50 (assume @p306 (exists @t7 (and @t190 @t52 @t51 @t37))) % 0.49/5.50 (assume @p307 (exists @t7 @t309)) % 0.49/5.50 (assume @p308 (exists @t7 (and @t174 @t47))) % 0.49/5.50 (assume @p309 (exists @t7 (and @t54 @t308 @t41))) % 0.49/5.50 (assume @p310 (forall @t7 (=> @t315 (exists @t17 (and @t126 @t277))))) % 0.49/5.50 (assume @p311 (exists @t7 (and @t6 @t47 @t5))) % 0.49/5.50 (assume @p312 (forall @t7 (=> @t335 (exists @t17 (and @t126 @t247))))) % 0.49/5.50 (assume @p313 (forall @t7 (=> @t135 (exists @t17 (and @t126 @t277 @t247))))) % 0.49/5.50 (assume @p314 (forall @t137 (=> @t278 (= @t275 @t89)))) % 0.49/5.50 (assume @p315 (forall @t286 (=> @t285 (= @t283 (tptp.apply_binary @t86 @t98 @t194))))) % 0.49/5.50 (assume @p316 (forall @t59 (=> @t74 (= @t70 @t154)))) % 0.49/5.50 (assume @p317 (forall @t59 (=> @t79 (= @t77 @t185)))) % 0.49/5.50 (assume @p318 (forall @t59 (=> @t168 (= @t148 @t227)))) % 0.49/5.50 (assume @p319 (forall @t59 (=> @t82 (= @t80 @t357)))) % 0.49/5.50 (assume @p320 (forall @t59 (=> @t168 (= @t291 @t226)))) % 0.49/5.50 (assume @p321 (forall @t12 (=> @t263 (= @t292 @t351)))) % 0.49/5.50 (assume @p322 (forall @t59 (=> @t82 (= @t83 @t358)))) % 0.49/5.50 (assume @p323 (forall @t12 (=> @t263 (= @t294 @t183)))) % 0.49/5.50 (assume @p324 (forall @t59 (=> @t82 (= @t295 @t359)))) % 0.49/5.50 (assume @p325 (forall @t59 (= @t149 @t168))) % 0.49/5.50 (assume @p326 (forall @t12 (=> @t85 (= @t84 @t96)))) % 0.49/5.50 (assume @p327 (forall @t12 (= @t231 (tptp.are_equipotent @t1 @t8)))) % 0.49/5.50 (assume @p328 (forall @t59 (=> @t361 (= @t360 @t202)))) % 0.49/5.50 (assume @p329 (forall @t12 (=> @t85 (tptp.ordinal_subset @t1 @t1)))) % 0.49/5.50 (assume @p330 (forall @t12 (tptp.subset @t1 @t1))) % 0.49/5.50 (assume @p331 (forall @t12 (tptp.equipotent @t1 @t1))) % 0.49/5.50 (assume @p332 (forall @t59 (=> @t361 (tptp.below_refl @t1 @t8 @t8)))) % 0.49/5.50 (assume @p333 (forall @t12 (=> @t379 (=> @t378 (exists @t116 (and @t56 @t230 (forall @t103 (= @t102 (and @t171 @t171 (exists @t366 (and (= @t86 @t363) (tptp.in @t98 @t363) (forall @t365 (=> @t364 (tptp.in (tptp.ordered_pair @t98 @t362) @t8)))))))))))))) % 0.49/5.50 (assume @p334 (forall @t7 (=> @t382 (exists @t17 (and @t94 @t140 (forall @t91 (= @t90 (and @t88 @t88 (= @t86 @t348))))))))) % 0.49/5.50 (assume @p335 (forall @t12 (=> @t395 (=> @t394 (exists @t116 (and @t56 @t230 (forall @t103 (= @t102 (and @t388 @t388 @t386))))))))) % 0.49/5.50 (assume @p336 (forall @t12 (=> @t395 (=> @t396 (exists @t116 (and @t56 @t230 (forall @t103 (= @t102 (and @t101 @t101 @t386))))))))) % 0.49/5.50 (assume @p337 (forall @t7 (=> (exists @t17 (and @t34 @t9)) (exists @t17 (and @t34 @t9 (forall @t116 (=> @t397 (=> @t88 (tptp.ordinal_subset @t8 @t55))))))))) % 0.49/5.50 (assume @p338 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t7 (=> (tptp.element @t1 (tptp.powerset @t421)) (not (and @t172 (forall @t17 (not (and @t9 (forall @t116 (=> (and @t88 @t420) (= @t55 @t8))))))))))) (forall @t110 (=> @t404 (=> @t419 (=> (tptp.in @t418 tptp.omega) (forall @t372 (=> (tptp.element @t369 (tptp.powerset (tptp.powerset @t418))) (not (and (not (= @t369 tptp.empty_set)) (forall @t371 (not (and @t370 (forall @t366 (=> (and (tptp.in @t363 @t369) (tptp.subset @t368 @t363)) (= @t363 @t368)))))))))))))) (forall @t110 (=> @t404 (=> (and (tptp.being_limit_ordinal @t86) (forall @t365 (=> (tptp.ordinal @t362) (=> (tptp.in @t362 @t86) (=> (tptp.in @t362 tptp.omega) (forall @t417 (=> (tptp.element @t413 (tptp.powerset (tptp.powerset @t362))) (not (and (not (= @t413 tptp.empty_set)) (forall @t416 (not (and @t415 (forall @t414 (=> (and (tptp.in @t412 @t413) (tptp.subset @t411 @t412)) (= @t412 @t411))))))))))))))) (or (= @t86 tptp.empty_set) (=> @t403 (forall @t410 (=> (tptp.element @t407 @t401) (not (and (not (= @t407 tptp.empty_set)) (forall @t409 (not (and (tptp.in @t405 @t407) (forall @t408 (=> (and (tptp.in @t406 @t407) (tptp.subset @t405 @t406)) (= @t406 @t405)))))))))))))))) (forall @t110 (=> @t404 (=> @t403 (forall @t402 (=> (tptp.element @t400 @t401) (not (and (not (= @t400 tptp.empty_set)) (forall (@list @t398) (not (and (tptp.in @t398 @t400) (forall (@list @t399) (=> (and (tptp.in @t399 @t400) (tptp.subset @t398 @t399)) (= @t399 @t398))))))))))))))) % 0.49/5.50 (assume @p339 (forall @t59 (=> @t425 (exists @t110 (and @t424 (forall @t197 (= (tptp.in @t195 @t86) (and @t114 @t423 (tptp.in (tptp.ordered_pair @t251 @t422) @t8))))))))) % 0.49/5.50 (assume @p340 (forall @t12 (=> @t379 (=> @t378 (exists @t116 (forall @t110 (= @t109 (exists @t108 (and @t114 @t114 (exists @t366 (and (= @t98 @t363) @t427 @t426))))))))))) % 0.49/5.50 (assume @p341 (forall @t12 (=> @t379 (forall @t116 (=> (forall @t342 (=> (and @t367 (exists @t438 (and @t437 @t435 (exists @t371 (and (= @t374 @t368) (tptp.in @t369 @t368) (forall @t366 (=> @t434 (tptp.in (tptp.ordered_pair @t369 @t363) @t8))))))) @t433 (exists @t432 (and (= @t431 @t194) (tptp.in @t362 @t1) (exists @t416 (and (= @t362 @t411) (tptp.in @t413 @t411) (forall @t414 (=> (tptp.in @t412 @t411) (tptp.in (tptp.ordered_pair @t413 @t412) @t8)))))))) @t430)) (exists @t110 (forall @t108 (= @t136 (exists @t258 (and (tptp.in @t194 @t429) @t428 (exists (@list @t407 @t405) (and (= (tptp.ordered_pair @t407 @t405) @t98) (tptp.in @t407 @t1) (exists @t408 (and (= @t407 @t406) (tptp.in @t405 @t406) (forall @t402 (=> (tptp.in @t400 @t406) (tptp.in (tptp.ordered_pair @t405 @t400) @t8))))))))))))))))) % 0.49/5.50 (assume @p342 (forall @t7 (=> @t382 (exists @t17 (forall @t116 (= @t166 (exists @t110 (and @t171 @t171 (= @t55 (tptp.singleton @t86)))))))))) % 0.49/5.50 (assume @p343 (forall @t12 (=> (forall @t260 (=> (and @t87 (exists @t445 (and (= @t444 @t86) @t423 (= @t374 (tptp.singleton @t194)))) @t443 (exists (@list @t369 @t368) (and (= (tptp.ordered_pair @t369 @t368) @t98) @t442 (= @t368 (tptp.singleton @t369))))) @t367)) (exists @t116 (forall @t110 (= @t109 (exists @t108 (and (tptp.in @t98 @t57) @t441 (exists @t440 (and (= @t439 @t86) (tptp.in @t363 @t1) (= @t362 (tptp.singleton @t363)))))))))))) % 0.49/5.50 (assume @p344 (forall @t7 (=> @t37 (=> (forall @t143 (=> (and @t156 (exists @t108 (and @t448 @t443 (=> (tptp.in @t98 tptp.omega) (forall @t258 (=> (tptp.element @t194 (tptp.powerset (tptp.powerset @t98))) @t447))))) @t186 (exists @t371 (and (tptp.ordinal @t368) (= @t86 @t368) (=> (tptp.in @t368 tptp.omega) (forall @t366 (=> (tptp.element @t363 (tptp.powerset (tptp.powerset @t368))) (not (and (not (= @t363 tptp.empty_set)) (forall @t365 (not (and @t364 (forall @t417 (=> (and (tptp.in @t413 @t363) (tptp.subset @t362 @t413)) (= @t413 @t362)))))))))))))) @t87)) (exists @t17 (forall @t116 (= @t166 (exists @t110 (and (tptp.in @t86 @t160) @t446 (exists @t416 (and (tptp.ordinal @t411) (= @t55 @t411) (=> (tptp.in @t411 tptp.omega) (forall @t414 (=> (tptp.element @t412 (tptp.powerset (tptp.powerset @t411))) (not (and (not (= @t412 tptp.empty_set)) (forall @t410 (not (and (tptp.in @t407 @t412) (forall @t409 (=> (and (tptp.in @t405 @t412) (tptp.subset @t407 @t405)) (= @t405 @t407)))))))))))))))))))))) % 0.49/5.50 (assume @p345 (forall @t12 (=> @t322 (=> (forall @t260 (=> (and @t87 (exists @t258 (and @t392 (= @t194 @t86) (tptp.closed_subset @t194 @t1) @t449)) @t443 (exists @t376 (and @t389 (= @t374 @t98) (tptp.closed_subset @t374 @t1) (tptp.subset @t8 @t98)))) @t367)) (exists @t116 (forall @t110 (= @t109 (exists @t108 (and @t450 @t441 (exists @t372 (and @t385 @t384 (tptp.closed_subset @t369 @t1) @t449))))))))))) % 0.49/5.50 (assume @p346 (forall @t12 (=> @t452 (=> (forall @t260 (=> (and @t87 @t451 @t443 (tptp.in (tptp.set_difference @t213 @t98) @t8)) @t367)) (exists @t116 (forall @t110 (= @t109 (exists @t108 (and @t450 @t441 @t451))))))))) % 0.49/5.50 (assume @p347 (forall @t12 (=> @t454 (=> (forall @t260 (=> (and @t87 (exists @t258 (and @t196 (= @t86 (tptp.set_difference @t194 @t159)))) @t443 (exists @t376 (and @t453 (= @t98 (tptp.set_difference @t374 @t159))))) @t367)) (exists @t116 (forall @t110 (= @t109 (exists @t108 (and (tptp.in @t98 @t29) @t441 (exists @t372 (and (tptp.in @t369 @t8) (= @t86 (tptp.set_difference @t369 @t159))))))))))))) % 0.49/5.50 (assume @p348 (forall @t12 (=> @t395 (=> @t394 (exists @t116 (forall @t110 (= @t109 (exists @t108 (and @t457 @t457 @t456))))))))) % 0.49/5.50 (assume @p349 (forall @t12 (=> @t395 (forall @t116 (=> (forall @t342 (=> (and @t367 (exists @t438 (and @t437 (tptp.in @t374 @t387) @t466)) @t433 (exists @t440 (and @t463 (tptp.in @t363 @t387) @t462))) @t430)) (exists @t110 (forall @t108 (= @t136 (exists @t258 (and (tptp.in @t194 @t461) @t428 (exists @t460 (and @t459 (tptp.in @t411 @t387) @t458)))))))))))) % 0.49/5.50 (assume @p350 (forall @t12 (=> @t395 (=> @t396 (exists @t116 (forall @t110 (= @t109 (exists @t108 (and @t106 @t106 @t456))))))))) % 0.49/5.50 (assume @p351 (forall @t12 (=> @t395 (forall @t116 (=> (forall @t342 (=> (and @t367 (exists @t438 (and @t437 @t453 @t466)) @t433 (exists @t440 (and @t463 (tptp.in @t363 @t8) @t462))) @t430)) (exists @t110 (forall @t108 (= @t136 (exists @t258 (and (tptp.in @t194 @t467) @t428 (exists @t460 (and @t459 (tptp.in @t411 @t8) @t458)))))))))))) % 0.49/5.50 (assume @p352 (forall @t59 (=> @t425 (=> (forall @t342 (=> (and @t367 (exists @t438 (and (= @t98 @t436) (tptp.in (tptp.ordered_pair @t468 (tptp.apply @t55 @t369)) @t8))) @t433 (exists (@list @t368 @t363) (and (= @t194 (tptp.ordered_pair @t368 @t363)) (tptp.in (tptp.ordered_pair (tptp.apply @t55 @t368) (tptp.apply @t55 @t363)) @t8)))) @t430)) (exists @t110 (forall @t108 (= @t136 (exists @t258 (and (tptp.in @t194 @t269) @t428 (exists @t432 (and (= @t98 @t431) (tptp.in (tptp.ordered_pair (tptp.apply @t55 @t362) (tptp.apply @t55 @t413)) @t8)))))))))))) % 0.49/5.50 (assume @p353 (forall @t7 (=> (forall @t143 (=> (and @t156 @t397 @t186 @t404) @t87)) (exists @t17 (forall @t116 (= @t166 (exists @t110 (and @t171 @t446 @t397)))))))) % 0.49/5.50 (assume @p354 (forall @t59 (=> @t471 (=> (forall @t342 (=> (and @t367 @t469 @t433 (tptp.in (tptp.relation_image @t55 @t194) @t8)) @t430)) (exists @t110 (forall @t108 (= @t136 (exists @t258 (and (tptp.in @t194 @t470) @t428 @t469))))))))) % 0.49/5.50 (assume @p355 (forall @t12 (=> @t34 (=> (forall @t260 (=> (and @t87 (exists @t258 (and (tptp.ordinal @t194) @t433 @t423)) @t443 (exists @t376 (and (tptp.ordinal @t374) (= @t98 @t374) @t435))) @t367)) (exists @t116 (forall @t110 (= @t109 (exists @t108 (and (tptp.in @t98 @t472) @t441 (exists @t372 (and (tptp.ordinal @t369) (= @t86 @t369) @t442))))))))))) % 0.49/5.50 (assume @p356 (forall @t12 (=> @t379 (forall @t116 (exists @t110 (forall @t108 (= @t136 (and (tptp.in @t98 @t429) (exists @t445 (and @t473 @t423 (exists @t372 (and (= @t194 @t369) (tptp.in @t374 @t369) (forall @t371 (=> @t370 (tptp.in (tptp.ordered_pair @t374 @t368) @t8))))))))))))))) % 0.49/5.50 (assume @p357 (forall @t12 (exists @t116 (forall @t110 (= @t109 (and (tptp.in @t86 @t57) (exists @t197 (and (= @t195 @t86) @t114 (= @t194 (tptp.singleton @t98)))))))))) % 0.49/5.50 (assume @p358 (forall @t7 (=> @t37 (exists @t17 (forall @t116 (= @t166 (and (tptp.in @t55 @t160) (exists @t110 (and @t404 @t87 @t419))))))))) % 0.49/5.50 (assume @p359 (forall @t12 (=> @t322 (exists @t116 (forall @t110 (= @t109 (and @t475 @t474))))))) % 0.49/5.50 (assume @p360 (forall @t12 (=> @t452 (exists @t116 (forall @t110 (= @t109 (and @t475 @t451))))))) % 0.49/5.50 (assume @p361 (forall @t12 (=> @t454 (exists @t116 (forall @t110 (= @t109 (and (tptp.in @t86 @t29) (exists @t108 (and @t106 (= @t86 (tptp.set_difference @t98 @t159))))))))))) % 0.49/5.50 (assume @p362 (forall @t12 (=> @t395 (forall @t116 (exists @t110 (forall @t108 (= @t136 (and (tptp.in @t98 @t461) (exists @t445 (and @t473 (tptp.in @t194 @t387) @t476)))))))))) % 0.49/5.50 (assume @p363 (forall @t12 (=> @t395 (forall @t116 (exists @t110 (forall @t108 (= @t136 (and (tptp.in @t98 @t467) (exists @t445 (and @t473 @t196 @t476)))))))))) % 0.49/5.50 (assume @p364 (forall @t59 (=> @t425 (exists @t110 (forall @t108 (= @t136 (and (tptp.in @t98 @t269) (exists @t445 (and (= @t98 @t444) (tptp.in (tptp.ordered_pair @t422 @t468) @t8)))))))))) % 0.49/5.50 (assume @p365 (forall @t7 (exists @t17 (forall @t116 (= @t166 (and @t88 @t397)))))) % 0.49/5.50 (assume @p366 (forall @t59 (=> @t471 (exists @t110 (forall @t108 (= @t136 (and (tptp.in @t98 @t470) @t469))))))) % 0.49/5.50 (assume @p367 (forall @t12 (=> @t34 (exists @t116 (forall @t110 (= @t109 (and (tptp.in @t86 @t472) (exists @t108 (and @t448 @t367 @t114))))))))) % 0.49/5.50 (assume @p368 (forall @t12 (=> @t379 (=> (and (forall @t260 (=> (and @t88 @t377 @t373) @t367)) (forall @t116 (not (and @t88 (forall @t110 (not (exists @t366 (and (= @t55 @t363) @t427 @t426)))))))) (exists @t116 (and @t56 @t230 @t228 (forall @t110 (=> @t171 (exists @t417 (and (= @t86 @t413) (tptp.in @t252 @t413) (forall @t416 (=> @t415 (tptp.in (tptp.ordered_pair @t252 @t411) @t8))))))))))))) % 0.49/5.50 (assume @p369 (forall @t7 (=> (and (forall @t143 (=> (and @t9 @t381 @t380) @t87)) (forall @t17 (not (and @t9 (forall @t116 (not @t381)))))) @t479))) % 0.49/5.50 (assume @p370 (forall @t12 (=> @t395 (=> (and (forall @t260 (=> (and @t391 @t393 @t390) @t367)) (forall @t116 (not (and @t391 @t481)))) (exists @t116 (and @t56 @t230 (= @t227 @t387) (forall @t110 (=> @t388 @t480)))))))) % 0.49/5.50 (assume @p371 (forall @t12 (=> @t395 (=> (and (forall @t260 (=> (and @t166 @t393 @t390) @t367)) (forall @t116 (not (and @t166 @t481)))) (exists @t116 (and @t56 @t230 (= @t227 @t8) (forall @t110 (=> @t101 @t480)))))))) % 0.49/5.50 (assume @p372 (=> (forall @t7 (=> @t37 (=> (forall @t17 (=> @t34 (=> @t9 (=> (tptp.in @t8 tptp.omega) (forall @t116 (=> (tptp.element @t55 (tptp.powerset @t290)) (not (and @t215 (forall @t110 (not (and @t109 (forall @t108 (=> (and (tptp.in @t98 @t55) (tptp.subset @t86 @t98)) @t441))))))))))))) (=> @t482 (forall @t258 (=> (tptp.element @t194 @t262) @t447)))))) (forall @t7 (=> @t37 (=> @t482 (forall @t371 (=> (tptp.element @t368 @t262) (not (and (not (= @t368 tptp.empty_set)) (forall @t366 (not (and @t434 (forall @t365 (=> (and (tptp.in @t362 @t368) (tptp.subset @t363 @t362)) (= @t362 @t363))))))))))))))) % 0.49/5.50 (assume @p373 (forall @t7 @t479)) % 0.49/5.50 (assume @p374 (forall @t12 (=> @t322 (exists @t116 (and @t199 (forall @t110 (=> @t483 (= @t109 @t474)))))))) % 0.49/5.50 (assume @p375 (forall @t12 (=> @t452 (exists @t116 (and @t199 (forall @t110 (=> @t483 (= @t109 @t451)))))))) % 0.49/5.50 (assume @p376 (forall @t12 (=> @t255 (tptp.disjoint @t8 @t1)))) % 0.49/5.50 (assume @p377 (forall @t12 (=> @t231 (tptp.equipotent @t8 @t1)))) % 0.49/5.50 (assume @p378 (forall @t7 (tptp.in @t1 @t160))) % 0.49/5.50 (assume @p379 (forall @t12 (=> @t263 (and @t485 (not (and (not @t484) @t147)))))) % 0.49/5.50 (assume @p380 (forall @t137 (not (and (= @t67 (tptp.unordered_pair @t55 @t86)) (not @t486) (not @t341))))) % 0.49/5.50 (assume @p381 (forall @t59 (=> @t56 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t8 @t55))) (and @t11 (tptp.in @t1 @t226)))))) % 0.49/5.50 (assume @p382 (forall @t12 (=> @t94 (tptp.subset @t487 @t1)))) % 0.49/5.50 (assume @p383 (forall @t12 (=> @t94 (tptp.subset @t115 @t8)))) % 0.49/5.50 (assume @p384 (forall @t12 (=> @t94 (tptp.subset @t487 @t139)))) % 0.49/5.50 (assume @p385 (forall @t59 (=> @t96 (and (tptp.subset @t429 @t467) (tptp.subset (tptp.cartesian_product2 @t55 @t1) (tptp.cartesian_product2 @t55 @t8)))))) % 0.49/5.50 (assume @p386 (forall @t12 (=> @t94 (= @t487 (tptp.set_intersection2 @t139 @t1))))) % 0.49/5.50 (assume @p387 (forall @t137 (=> (and @t96 @t180) (tptp.subset @t429 (tptp.cartesian_product2 @t8 @t86))))) % 0.49/5.50 (assume @p388 (forall @t12 (=> @t263 (=> @t184 (= @t488 (tptp.subset_complement @t1 @t292)))))) % 0.49/5.50 (assume @p389 (forall @t59 (=> @t149 (and (tptp.subset @t227 @t1) (tptp.subset @t226 @t8))))) % 0.49/5.50 (assume @p390 (forall @t12 (=> @t263 (=> @t184 (= @t489 (tptp.subset_complement @t1 @t294)))))) % 0.49/5.50 (assume @p391 @t491) % 0.49/5.50 (assume @p392 (forall @t7 (exists @t17 (and @t11 @t494 (forall @t116 (=> @t166 (tptp.in @t493 @t8))) @t492)))) % 0.49/5.50 (assume @p393 (forall @t7 (=> @t135 (= @t201 (forall @t17 (=> @t165 (not (and (tptp.centered @t8) @t192 (= @t495 tptp.empty_set))))))))) % 0.49/5.50 (assume @p394 (forall @t12 (=> (and @t96 @t62) @t38))) % 0.49/5.50 (assume @p395 (forall @t7 (=> @t174 (forall @t17 (=> @t165 (= (tptp.finite @t387) @t62)))))) % 0.49/5.50 (assume @p396 (forall @t59 (=> @t56 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t55) @t8) (tptp.relation_rng_restriction @t1 @t496))))) % 0.49/5.50 (assume @p397 (forall @t59 (=> @t56 (= (tptp.in @t1 (tptp.relation_image @t55 @t8)) (exists @t110 (and (tptp.in @t86 @t227) (tptp.in (tptp.ordered_pair @t86 @t1) @t55) @t101)))))) % 0.49/5.50 (assume @p398 (forall @t12 (=> @t94 (tptp.subset @t497 @t139)))) % 0.49/5.50 (assume @p399 (forall @t12 (=> @t334 (tptp.subset @t499 @t1)))) % 0.49/5.50 (assume @p400 (forall @t12 (=> @t94 (= @t497 (tptp.relation_image @t8 @t500))))) % 0.49/5.50 (assume @p401 (forall @t12 (=> @t94 (=> (tptp.subset @t1 @t138) (tptp.subset @t1 (tptp.relation_inverse_image @t8 @t497)))))) % 0.49/5.50 (assume @p402 (forall @t7 (=> @t54 (= (tptp.relation_image @t1 @t107) @t234)))) % 0.49/5.50 (assume @p403 (forall @t12 (=> @t334 (=> @t501 (= @t499 @t1))))) % 0.49/5.50 (assume @p404 (forall @t137 (=> @t504 (=> (tptp.subset @t503 @t8) @t502)))) % 0.49/5.50 (assume @p405 (forall @t7 (=> @t174 (forall @t17 (=> @t126 (= (tptp.subset_intersection2 @t4 @t8 @t213) @t8)))))) % 0.49/5.50 (assume @p406 (forall @t7 (=> @t54 (forall @t17 (=> @t94 (= @t505 (tptp.relation_image @t8 @t234))))))) % 0.49/5.50 (assume @p407 (forall @t59 (=> @t56 (= (tptp.in @t1 @t506) (exists @t110 (and (tptp.in @t86 @t226) (tptp.in (tptp.ordered_pair @t1 @t86) @t55) @t101)))))) % 0.49/5.50 (assume @p408 (forall @t12 (=> @t94 (tptp.subset @t498 @t138)))) % 0.49/5.50 (assume @p409 (forall @t137 (=> @t504 (=> @t96 @t502)))) % 0.49/5.50 (assume @p410 (forall @t7 (=> @t127 (forall @t17 (=> @t165 (= @t192 (tptp.open_subsets @t387 @t1))))))) % 0.49/5.50 (assume @p411 (forall @t59 (=> @t56 (= (tptp.in @t1 @t507) (and @t352 (tptp.in @t1 @t248)))))) % 0.49/5.50 (assume @p412 (forall @t12 (=> @t94 (not (and @t172 @t501 (= @t498 tptp.empty_set)))))) % 0.49/5.50 (assume @p413 (forall @t59 (=> @t56 (=> @t96 (tptp.subset (tptp.relation_inverse_image @t55 @t1) @t506))))) % 0.49/5.50 (assume @p414 (forall @t12 (=> @t334 (=> @t38 (tptp.finite @t497))))) % 0.49/5.50 (assume @p415 (forall @t7 (=> @t174 (forall @t17 (=> @t126 (= @t175 @t246)))))) % 0.49/5.50 (assume @p416 (forall @t7 (=> @t127 (forall @t17 (=> @t165 (= @t178 (tptp.closed_subsets @t387 @t1))))))) % 0.49/5.50 (assume @p417 (forall @t12 (=> @t94 (= @t508 (tptp.relation_dom_restriction @t115 @t1))))) % 0.49/5.50 (assume @p418 (forall @t12 (tptp.subset @t76 @t1))) % 0.49/5.50 (assume @p419 (forall @t7 (=> @t38 (forall @t17 (=> @t263 (not (and @t184 (forall @t116 (not (and @t166 (forall @t110 (=> (and @t101 @t180) @t446)))))))))))) % 0.49/5.50 (assume @p420 (forall @t12 (=> @t94 (= @t508 (tptp.relation_rng_restriction @t1 @t509))))) % 0.49/5.50 (assume @p421 (forall @t59 (=> @t56 (=> (tptp.in @t1 (tptp.relation_field @t507)) (and @t511 @t11))))) % 0.49/5.50 (assume @p422 (forall @t59 (=> (and @t96 @t512) (tptp.subset @t1 @t358)))) % 0.49/5.50 (assume @p423 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.49/5.50 (assume @p424 @t522) % 0.49/5.50 (assume @p425 (forall @t12 (=> @t11 @t523))) % 0.49/5.50 (assume @p426 (forall @t59 (=> (and @t96 @t420) @t512))) % 0.49/5.50 (assume @p427 (= @t421 (tptp.singleton tptp.empty_set))) % 0.49/5.50 (assume @p428 (forall @t59 (=> @t56 (=> @t525 (and @t524 (tptp.in @t8 @t226)))))) % 0.49/5.50 (assume @p429 (forall @t12 (=> @t94 (and (tptp.subset @t526 @t181) (tptp.subset @t526 @t1))))) % 0.49/5.50 (assume @p430 (forall @t12 (=> @t334 (forall @t116 (=> @t254 (= @t529 (and @t524 (tptp.in @t527 @t138)))))))) % 0.49/5.50 (assume @p431 (forall @t137 (=> @t531 (forall @t108 (=> (and (tptp.relation @t98) (tptp.function @t98)) (=> @t88 (or @t147 (= (tptp.apply (tptp.relation_composition @t86 @t98) @t55) (tptp.apply @t98 @t530))))))))) % 0.49/5.50 (assume @p432 (forall @t7 (=> @t52 (forall @t17 (=> @t34 (=> @t14 @t11)))))) % 0.49/5.50 (assume @p433 (forall @t7 (=> @t54 (tptp.subset @t1 (tptp.cartesian_product2 @t107 @t234))))) % 0.49/5.50 (assume @p434 (forall @t59 (=> @t56 (tptp.subset (tptp.fiber (tptp.relation_restriction @t55 @t1) @t8) (tptp.fiber @t55 @t8))))) % 0.49/5.50 (assume @p435 (forall @t12 (=> @t334 (forall @t116 (=> @t254 (=> @t529 (= (tptp.apply @t528 @t1) (tptp.apply @t8 @t527)))))))) % 0.49/5.50 (assume @p436 (forall @t7 (=> @t174 (forall @t17 (=> @t126 (= (tptp.subset_difference @t4 @t213 @t246) @t8)))))) % 0.49/5.50 (assume @p437 (forall @t59 (=> (tptp.relation_of2_as_subset @t55 @t8 @t1) (= (forall @t110 (not (and @t101 (forall @t108 (not @t102))))) (= (tptp.relation_dom_as_subset @t8 @t1 @t55) @t8))))) % 0.49/5.50 (assume @p438 (forall @t12 (=> @t94 (=> @t532 (tptp.reflexive @t508))))) % 0.49/5.50 (assume @p439 (forall @t12 (=> @t334 (forall @t116 (=> @t254 (=> (tptp.in @t1 @t138) (= (tptp.apply (tptp.relation_composition @t8 @t55) @t1) (tptp.apply @t55 (tptp.apply @t8 @t1))))))))) % 0.49/5.50 (assume @p440 (forall @t7 (=> (and @t47 @t44 @t43 @t6) (forall @t17 (=> @t72 (forall @t116 (=> @t71 (tptp.below @t1 @t77 @t8)))))))) % 0.49/5.50 (assume @p441 (forall @t12 (=> @t34 (=> @t11 @t37)))) % 0.49/5.50 (assume @p442 (forall @t59 (=> @t149 (= (forall @t110 (not (and @t101 (forall @t108 (not (tptp.in @t128 @t55)))))) (= @t291 @t8))))) % 0.49/5.50 (assume @p443 (forall @t12 (=> @t94 (=> @t533 (tptp.connected @t508))))) % 0.49/5.50 (assume @p444 (forall @t7 (=> @t37 (forall @t17 (=> @t34 (not (and @t345 @t264 @t10))))))) % 0.49/5.50 (assume @p445 (forall @t12 (=> @t94 (=> @t534 (tptp.transitive @t508))))) % 0.49/5.50 (assume @p446 (forall @t7 (=> (and @t245 @t238) (forall @t17 (=> @t72 (forall @t116 (=> @t71 (=> (and @t266 (tptp.related @t1 @t55 @t8)) @t156)))))))) % 0.49/5.50 (assume @p447 (forall @t7 (=> @t54 (forall @t17 (=> @t94 (=> @t96 (and (tptp.subset @t107 @t138) (tptp.subset @t234 @t139)))))))) % 0.49/5.50 (assume @p448 (forall @t12 (=> @t94 (=> @t535 (tptp.antisymmetric @t508))))) % 0.49/5.50 (assume @p449 (forall @t12 (=> @t94 (=> @t538 (and @t537 @t536))))) % 0.49/5.50 (assume @p450 (forall @t7 (=> @t113 (=> (tptp.finite @t107) (tptp.finite @t234))))) % 0.49/5.50 (assume @p451 (forall @t7 (=> (and @t47 @t45 @t73) (forall @t17 (=> @t72 (forall @t116 (=> @t71 (=> (and @t202 (tptp.below @t1 @t55 @t8)) @t156)))))))) % 0.49/5.50 (assume @p452 (forall @t7 (=> (and @t237 @t238) (forall @t17 (=> @t72 (forall @t116 (=> @t71 (forall @t110 (=> (tptp.element @t86 @t4) (=> (and @t266 (tptp.related @t1 @t55 @t86)) (tptp.related @t1 @t8 @t86))))))))))) % 0.49/5.50 (assume @p453 (forall @t7 (exists @t17 (and @t94 @t538)))) % 0.49/5.50 (assume @p454 (forall @t59 (=> @t96 (tptp.subset (tptp.set_intersection2 @t1 @t55) @t358)))) % 0.49/5.50 (assume @p455 (forall @t7 (=> @t190 (not (and (forall @t17 (not (and @t9 @t147))) (forall @t17 (=> @t334 (not (and @t478 (forall @t116 (=> @t88 (tptp.in @t477 @t55)))))))))))) % 0.49/5.50 (assume @p456 (forall @t12 (=> @t96 (= @t76 @t1)))) % 0.49/5.50 (assume @p457 (forall @t7 (=> @t127 (forall @t17 (=> @t126 (= @t247 @t331)))))) % 0.49/5.50 (assume @p458 (forall @t7 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.49/5.50 (assume @p459 @t544) % 0.49/5.50 (assume @p460 (forall @t12 (=> @t523 (or @t189 @t11)))) % 0.49/5.50 (assume @p461 (forall @t12 (=> (forall @t116 (= @t88 @t166)) @t97))) % 0.49/5.50 (assume @p462 (forall @t7 (tptp.reflexive @t182))) % 0.49/5.50 (assume @p463 (forall @t7 (tptp.subset tptp.empty_set @t1))) % 0.49/5.50 (assume @p464 (forall @t59 (=> @t56 (=> @t525 (and @t511 (tptp.in @t8 @t510)))))) % 0.49/5.50 (assume @p465 (forall @t7 (=> @t127 (forall @t17 (=> @t126 (= @t240 @t333)))))) % 0.49/5.50 (assume @p466 (forall @t7 (=> (forall @t17 (=> @t9 (and @t34 @t95))) @t37))) % 0.49/5.50 (assume @p467 (forall @t12 (=> @t94 (=> @t545 (tptp.well_founded_relation @t508))))) % 0.49/5.50 (assume @p468 (forall @t7 (=> @t257 (forall @t17 (=> @t72 (forall @t116 (=> @t71 (= (tptp.in (tptp.ordered_pair_as_product_element @t4 @t4 @t8 @t55) @t256) @t360)))))))) % 0.49/5.50 (assume @p469 (forall @t12 (=> @t34 (not (and @t96 @t172 (forall @t116 (=> @t397 (not (and @t88 (forall @t110 (=> @t404 (=> @t171 (tptp.ordinal_subset @t55 @t86))))))))))))) % 0.49/5.50 (assume @p470 (forall @t12 (=> @t94 (=> @t346 @t536)))) % 0.49/5.50 (assume @p471 (forall @t7 (=> @t37 (forall @t17 (=> @t34 (= @t11 (tptp.ordinal_subset @t160 @t8))))))) % 0.49/5.50 (assume @p472 (forall @t59 (=> @t96 (tptp.subset (tptp.set_difference @t1 @t55) @t359)))) % 0.49/5.50 (assume @p473 (forall @t137 (=> (= @t242 @t89) (and @t486 @t186)))) % 0.49/5.50 (assume @p474 (forall @t12 (=> @t334 (= @t93 (and @t478 (forall @t116 (=> @t88 (= @t477 @t55)))))))) % 0.49/5.50 (assume @p475 (forall @t12 (=> @t9 (= (tptp.apply @t92 @t8) @t8)))) % 0.49/5.50 (assume @p476 (forall @t12 (tptp.subset @t232 @t1))) % 0.49/5.50 (assume @p477 (forall @t7 (=> @t54 (and (= @t234 (tptp.relation_dom @t250)) (= @t107 (tptp.relation_rng @t250)))))) % 0.49/5.50 (assume @p478 (forall @t59 (= (tptp.subset @t67 @t55) (and @t352 @t212)))) % 0.49/5.50 (assume @p479 (forall @t12 (=> @t94 (=> (and @t346 (tptp.subset @t1 @t181)) @t537)))) % 0.49/5.50 (assume @p480 (forall @t12 (= @t546 @t69))) % 0.49/5.50 (assume @p481 (forall @t7 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.49/5.50 (assume @p482 (forall @t59 (not (and @t11 @t212 @t88)))) % 0.49/5.50 (assume @p483 (forall @t12 (= @t353 @t96))) % 0.49/5.50 (assume @p484 (forall @t7 (tptp.transitive @t182))) % 0.49/5.50 (assume @p485 (forall @t12 (and (not (and @t548 (forall @t116 (not @t547)))) (not (and (exists @t116 @t547) @t255))))) % 0.49/5.50 (assume @p486 (forall @t7 (=> (tptp.subset @t1 tptp.empty_set) @t146))) % 0.49/5.50 (assume @p487 (forall @t12 (= (tptp.set_difference @t69 @t8) @t232))) % 0.49/5.50 (assume @p488 (forall @t7 (=> @t37 (= @t239 (forall @t17 (=> @t34 (=> @t9 (tptp.in @t472 @t1)))))))) % 0.49/5.50 (assume @p489 (forall @t7 (=> @t37 (and (not (and (not @t239) (forall @t17 (=> @t34 (not @t549))))) (not (and (exists @t17 (and @t34 @t549)) @t239)))))) % 0.49/5.50 (assume @p490 (forall @t12 (=> @t30 (forall @t116 (=> @t81 (= @t551 (tptp.subset @t8 @t550))))))) % 0.49/5.50 (assume @p491 (forall @t7 (=> @t335 (forall @t17 (=> @t165 (=> @t191 (tptp.closed_subset @t495 @t1))))))) % 0.49/5.50 (assume @p492 (forall @t7 (=> @t54 (forall @t17 (=> @t94 (tptp.subset @t552 @t107)))))) % 0.49/5.50 (assume @p493 (forall @t7 (=> @t127 (forall @t17 (=> @t126 (tptp.subset @t176 @t8)))))) % 0.49/5.50 (assume @p494 (forall @t7 (=> @t127 (forall @t17 (=> @t126 (forall @t116 (=> (tptp.in @t55 @t4) (= (tptp.in @t55 @t124) (forall @t110 (=> @t483 (=> @t553 @t170))))))))))) % 0.49/5.50 (assume @p495 (forall @t7 (=> @t54 (forall @t17 (=> @t94 (tptp.subset @t505 @t139)))))) % 0.49/5.50 (assume @p496 (forall @t12 (=> @t96 (= @t8 @t546)))) % 0.49/5.50 (assume @p497 (forall @t137 (=> @t531 (=> @t184 (forall @t108 (= (tptp.in @t98 (tptp.relation_inverse_image @t86 @t55)) (and @t114 (tptp.in (tptp.apply @t86 @t98) @t55)))))))) % 0.49/5.50 (assume @p498 (forall @t7 (=> @t335 (forall @t17 (=> @t126 (exists @t116 (and @t199 (forall @t110 (=> @t483 (= @t109 @t553))) (= @t124 (tptp.meet_of_subsets @t4 @t55))))))))) % 0.49/5.50 (assume @p499 (forall @t7 (=> @t54 (forall @t17 (=> @t94 (=> (tptp.subset @t234 @t138) (= @t552 @t107))))))) % 0.49/5.50 (assume @p500 (forall @t12 (=> @t263 @t485))) % 0.49/5.50 (assume @p501 (forall @t7 (=> @t54 (forall @t17 (=> @t94 (=> (tptp.subset @t107 @t139) (= (tptp.relation_rng @t303) @t234))))))) % 0.49/5.50 (assume @p502 (forall @t12 (=> @t263 (=> @t184 (= (tptp.subset_difference @t1 @t222 @t292) @t488))))) % 0.49/5.50 (assume @p503 (forall @t7 (=> @t127 (forall @t17 (=> @t126 (tptp.subset @t8 @t124)))))) % 0.49/5.50 (assume @p504 (forall @t12 (=> @t263 (=> @t184 (= @t489 (tptp.subset_difference @t1 @t222 @t294)))))) % 0.49/5.50 (assume @p505 (forall @t12 (= (tptp.set_difference @t1 @t232) @t76))) % 0.49/5.50 (assume @p506 (forall @t7 (=> @t54 (forall @t17 (=> @t94 (forall @t116 (=> @t254 (=> @t253 (tptp.relation_isomorphism @t8 @t1 (tptp.function_inverse @t55)))))))))) % 0.49/5.50 (assume @p507 (forall @t7 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.49/5.50 (assume @p508 (forall @t59 (=> (and @t11 @t554) (tptp.element @t1 @t55)))) % 0.49/5.50 (assume @p509 (forall @t7 (=> @t37 (tptp.connected @t182)))) % 0.49/5.50 (assume @p510 (forall @t12 (and (not (and @t548 (forall @t116 (not @t555)))) (not (and (exists @t116 @t555) @t255))))) % 0.49/5.50 (assume @p511 (forall @t7 (=> @t172 (forall @t17 (=> @t30 (forall @t116 (=> @t276 (=> @t210 (tptp.in @t55 @t241))))))))) % 0.49/5.50 (assume @p512 (forall @t7 (=> @t335 (forall @t17 (=> @t126 @t339))))) % 0.49/5.50 (assume @p513 (forall @t7 (=> @t127 (forall @t17 (=> @t126 (and (=> @t247 @t556) (=> (and @t134 @t556) @t247))))))) % 0.49/5.50 (assume @p514 (forall @t7 (=> @t54 (forall @t17 (=> @t94 (forall @t116 (=> @t254 (=> @t253 (and (=> @t224 @t532) (=> @t130 @t534) (=> @t129 @t533) (=> @t118 @t535) (=> @t193 @t545)))))))))) % 0.49/5.50 (assume @p515 (forall @t7 (=> @t113 (=> @t63 (forall @t17 (=> @t334 (= (= @t8 @t265) (and (= @t138 @t234) (forall @t91 (and (=> @t557 @t233) (=> @t233 @t557))))))))))) % 0.49/5.50 (assume @p516 (forall @t59 (=> @t81 (not (and (tptp.in @t8 @t550) @t212))))) % 0.49/5.50 (assume @p517 (forall @t7 (=> @t54 (forall @t17 (=> @t94 (forall @t116 (=> @t254 (=> (and @t225 @t253) @t346)))))))) % 0.49/5.50 (assume @p518 (forall @t7 (=> @t113 (=> @t63 (and (= @t234 (tptp.relation_dom @t265)) (= @t107 (tptp.relation_rng @t265))))))) % 0.49/5.50 (assume @p519 (forall @t7 (=> @t335 (forall @t17 (=> (tptp.top_str @t8) (forall @t116 (=> @t125 (forall @t110 (=> (tptp.element @t86 (tptp.powerset @t151)) (and (=> (tptp.open_subset @t86 @t8) (= (tptp.interior @t8 @t86) @t86)) (=> (= @t132 @t55) @t177))))))))))) % 0.49/5.50 (assume @p520 (forall @t7 (=> @t54 (=> (forall @t105 @t349) @t146)))) % 0.49/5.50 (assume @p521 (forall @t12 (=> @t334 (=> (and @t356 (tptp.in @t1 @t139)) (and (= @t1 (tptp.apply @t8 (tptp.apply @t558 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t558 @t8) @t1))))))) % 0.49/5.50 (assume @p522 (forall @t7 (=> @t135 (forall @t17 (=> @t126 (forall @t116 (=> @t71 (=> (and @t240 @t166) (tptp.point_neighbourhood @t8 @t1 @t55))))))))) % 0.49/5.50 (assume @p523 (forall @t59 (not (and @t11 @t554 (tptp.empty @t55))))) % 0.49/5.50 (assume @p524 (forall @t7 (=> @t315 (forall @t17 (=> @t165 (not (and @t200 @t147))))))) % 0.49/5.50 (assume @p525 (forall @t7 (=> @t54 (= @t193 (tptp.is_well_founded_in @t1 @t117))))) % 0.49/5.50 (assume @p526 (forall @t7 (tptp.antisymmetric @t182))) % 0.49/5.50 (assume @p527 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.49/5.50 (assume @p528 (forall @t12 (not (and @t96 @t13)))) % 0.49/5.50 (assume @p529 (forall @t7 (=> @t113 (=> @t63 (tptp.one_to_one @t265))))) % 0.49/5.50 (assume @p530 (forall @t59 (=> (and @t96 @t551) (tptp.disjoint @t1 @t55)))) % 0.49/5.50 (assume @p531 (forall @t7 (=> @t54 (=> (or @t560 @t559) @t146)))) % 0.49/5.50 (assume @p532 (forall @t7 (=> @t54 (= @t560 @t559)))) % 0.49/5.50 (assume @p533 (forall @t12 (= (= (tptp.set_difference @t1 @t350) @t1) @t10))) % 0.49/5.50 (assume @p534 (forall @t12 (=> @t334 (forall @t116 (=> @t254 (= (= @t8 @t354) (and (= @t138 (tptp.set_intersection2 @t227 @t1)) (forall @t110 (=> (tptp.in @t86 @t138) (= (tptp.apply @t8 @t86) @t252)))))))))) % 0.49/5.50 (assume @p535 (forall @t7 (= (tptp.unordered_pair @t1 @t1) @t159))) % 0.49/5.50 (assume @p536 (forall @t7 (=> @t27 @t146))) % 0.49/5.50 (assume @p537 (forall @t137 (=> @t531 (=> @t88 (or @t147 (tptp.in @t530 @t503)))))) % 0.49/5.50 (assume @p538 (forall @t7 (=> @t37 (tptp.well_founded_relation @t182)))) % 0.49/5.50 (assume @p539 (forall @t12 (=> (tptp.subset @t159 @t350) @t97))) % 0.49/5.50 (assume @p540 (forall @t59 (=> @t254 (=> @t355 @t561)))) % 0.49/5.50 (assume @p541 (forall @t7 (and (= (tptp.relation_dom @t92) @t1) (= (tptp.relation_rng @t92) @t1)))) % 0.49/5.50 (assume @p542 (forall @t59 (=> @t254 (=> @t9 @t561)))) % 0.49/5.50 (assume @p543 (forall @t137 (=> @t424 (= (tptp.in @t242 (tptp.relation_composition (tptp.identity_relation @t55) @t86)) (and @t352 (tptp.in @t242 @t86)))))) % 0.49/5.50 (assume @p544 (forall @t12 (not (and @t11 @t189)))) % 0.49/5.50 (assume @p545 (forall @t12 (and (= (tptp.pair_first @t242) @t1) (= (tptp.pair_second @t242) @t8)))) % 0.49/5.50 (assume @p546 (forall @t12 (not (and @t11 (forall @t116 (not (and @t166 (forall @t110 (not (and @t101 @t109)))))))))) % 0.49/5.50 (assume @p547 (forall @t7 (=> @t37 (tptp.well_ordering @t182)))) % 0.49/5.50 (assume @p548 (forall @t12 (tptp.subset @t1 @t69))) % 0.49/5.50 (assume @p549 (forall @t12 (= @t255 (= @t232 @t1)))) % 0.49/5.50 (assume @p550 (forall @t59 (=> @t56 (= (tptp.in @t1 (tptp.relation_dom @t496)) (and @t11 @t524))))) % 0.49/5.50 (assume @p551 (forall @t12 (=> @t94 (tptp.subset @t509 @t8)))) % 0.49/5.50 (assume @p552 (forall @t12 (not (and @t27 @t264 @t189)))) % 0.49/5.50 (assume @p553 (forall @t59 (=> @t254 (= @t525 (and @t524 (= @t8 @t527)))))) % 0.49/5.50 (assume @p554 (forall @t7 (=> @t54 (= (tptp.well_orders @t1 @t117) @t225)))) % 0.49/5.50 (assume @p555 (forall @t59 (=> (and @t96 @t198) (tptp.subset (tptp.set_union2 @t1 @t55) @t8)))) % 0.49/5.50 (assume @p556 (forall @t59 (=> @t562 @t97))) % 0.49/5.50 (assume @p557 (forall @t12 (=> @t94 (= (tptp.relation_dom @t509) @t500)))) % 0.49/5.50 (assume @p558 (forall @t12 (=> @t94 (= @t509 (tptp.relation_composition @t92 @t8))))) % 0.49/5.50 (assume @p559 (forall @t12 (=> @t94 (tptp.subset (tptp.relation_rng @t509) @t139)))) % 0.49/5.50 (assume @p560 (forall @t7 (= (tptp.union @t29) @t1))) % 0.49/5.50 (assume @p561 (forall @t137 (=> @t531 (=> @t420 (or (and @t147 @t172) (and @t284 (tptp.quasi_total @t86 @t1 @t55) (tptp.relation_of2_as_subset @t86 @t1 @t55))))))) % 0.49/5.50 (assume @p562 (forall @t7 (exists @t17 (and @t11 @t494 (forall @t116 (not (and @t166 (forall @t110 (not (and @t101 (forall @t108 (=> (tptp.subset @t98 @t55) @t136)))))))) @t492)))) % 0.49/5.50 (assume @p563 (forall @t59 (=> @t562 @t156))) % 0.49/5.50 (step @p564 :rule instantiate :premises (@p548) :args (@t572)) % 0.49/5.50 (step @p565 :rule aci_norm :args ((= @t578 @t576))) % 0.49/5.50 (step @p566 :rule cong :premises (@p565) :args (@t580)) % 0.49/5.50 (step @p567 :rule quant-merge-prenex :args ((= (forall @t12 @t582) @t580))) % 0.49/5.50 (step @p568 :rule alpha_equiv :args (@t583 (@list @t573) @t584)) % 0.49/5.50 (step @p569 :rule refl :args (@t566)) % 0.49/5.50 (step @p570 :rule nary_cong :premises (@p569 @p568) :args (@t585)) % 0.49/5.50 (step @p571 :rule quant-miniscope-or :args ((= @t582 @t585))) % 0.49/5.50 (step @p572 :rule trans :premises (@p571 @p570)) % 0.49/5.50 (step @p573 :rule symm :premises (@p572)) % 0.49/5.50 (step @p574 :rule cong :premises (@p573) :args ((forall @t12 (or @t566 @t588)))) % 0.49/5.50 (step @p575 :rule trans :premises (@p574 @p567)) % 0.49/5.50 (step @p576 :rule trans :premises (@p575 @p566)) % 0.49/5.50 (step @p577 :rule bool-impl-elim :args (@t520 @t588)) % 0.49/5.50 (step @p578 :rule cong :premises (@p577) :args ((forall @t12 (=> @t520 @t588)))) % 0.49/5.50 (step @p579 :rule trans :premises (@p578 @p576)) % 0.49/5.50 (step @p580 :rule bool-impl-elim :args (@t517 @t586)) % 0.49/5.50 (step @p581 :rule cong :premises (@p580) :args ((forall @t116 (=> @t517 @t586)))) % 0.49/5.50 (step @p582 :rule eq-symm :args (@t513 @t358)) % 0.49/5.50 (step @p583 :rule eq-symm :args (@t514 @t357)) % 0.49/5.50 (step @p584 :rule nary_cong :premises (@p583 @p582) :args (@t515)) % 0.49/5.50 (step @p585 :rule refl :args (@t517)) % 0.49/5.50 (step @p586 :rule cong :premises (@p585 @p584) :args (@t518)) % 0.49/5.50 (step @p587 :rule cong :premises (@p586) :args (@t519)) % 0.49/5.50 (step @p588 :rule trans :premises (@p587 @p581)) % 0.49/5.50 (step @p589 :rule refl :args (@t520)) % 0.49/5.50 (step @p590 :rule cong :premises (@p589 @p588) :args (@t521)) % 0.49/5.50 (step @p591 :rule cong :premises (@p590) :args (@t522)) % 0.49/5.50 (step @p592 :rule trans :premises (@p591 @p579)) % 0.49/5.50 (step @p593 :rule eq_resolve :premises (@p424 @p592)) % 0.49/5.50 (step @p594 :rule refl :args (@t591)) % 0.49/5.50 (step @p595 :rule eq-symm :args (@t592 @t593)) % 0.49/5.50 (step @p596 :rule nary_cong :premises (@p595 @p594) :args (@t594)) % 0.49/5.50 (step @p597 :rule refl :args (@t597)) % 0.49/5.50 (step @p598 :rule refl :args (@t599)) % 0.49/5.50 (step @p599 :rule nary_cong :premises (@p598 @p597 @p596) :args (@t600)) % 0.49/5.50 (step @p600 :rule refl :args (@t601)) % 0.49/5.50 (step @p601 :rule cong :premises (@p600 @p599) :args ((=> @t601 @t600))) % 0.49/5.50 (assume-push @p821 @t601) % 0.49/5.50 (step @p603 :rule instantiate :premises (@p593) :args ((@list @t589 @t571 @t570))) % 0.49/5.50 (step-pop @p822 :rule scope :premises (@p603)) % 0.49/5.50 (step @p604 :rule process_scope :premises (@p822) :args (@t600)) % 0.49/5.50 (step @p606 :rule eq_resolve :premises (@p604 @p601)) % 0.49/5.50 (step @p607 :rule implies_elim :premises (@p606)) % 0.49/5.50 (step @p608 :rule chain_m_resolution :premises (@p607 @p593) :args (@t604 @t605 (@list @t601))) % 0.49/5.50 (step @p609 :rule aci_norm :args ((= @t607 @t567))) % 0.49/5.50 (step @p610 :rule cong :premises (@p609) :args (@t608)) % 0.49/5.50 (step @p611 :rule quant-merge-prenex :args ((= (forall @t12 @t610) @t608))) % 0.49/5.50 (step @p612 :rule alpha_equiv :args (@t611 (@list @t563) @t584)) % 0.49/5.50 (step @p613 :rule nary_cong :premises (@p569 @p612) :args (@t612)) % 0.49/5.50 (step @p614 :rule quant-miniscope-or :args ((= @t610 @t612))) % 0.49/5.50 (step @p615 :rule trans :premises (@p614 @p613)) % 0.49/5.50 (step @p616 :rule symm :premises (@p615)) % 0.49/5.50 (step @p617 :rule cong :premises (@p616) :args ((forall @t12 (or @t566 @t614)))) % 0.49/5.50 (step @p618 :rule trans :premises (@p617 @p611)) % 0.49/5.50 (step @p619 :rule trans :premises (@p618 @p610)) % 0.49/5.50 (step @p620 :rule bool-impl-elim :args (@t520 @t614)) % 0.49/5.50 (step @p621 :rule cong :premises (@p620) :args ((forall @t12 (=> @t520 @t614)))) % 0.49/5.50 (step @p622 :rule trans :premises (@p621 @p619)) % 0.49/5.50 (step @p623 :rule bool-impl-elim :args (@t517 @t613)) % 0.49/5.50 (step @p624 :rule cong :premises (@p623) :args ((forall @t116 (=> @t517 @t613)))) % 0.49/5.50 (step @p625 :rule eq-symm :args (@t539 @t420)) % 0.49/5.50 (step @p626 :rule cong :premises (@p585 @p625) :args (@t540)) % 0.49/5.50 (step @p627 :rule cong :premises (@p626) :args (@t541)) % 0.49/5.50 (step @p628 :rule trans :premises (@p627 @p624)) % 0.49/5.50 (step @p629 :rule cong :premises (@p589 @p628) :args (@t542)) % 0.49/5.50 (step @p630 :rule cong :premises (@p629) :args (@t543)) % 0.49/5.50 (step @p631 :rule trans :premises (@p630 @p622)) % 0.49/5.50 (step @p632 :rule cong :premises (@p631) :args (@t544)) % 0.49/5.50 (step @p633 :rule eq_resolve :premises (@p459 @p632)) % 0.49/5.50 (step @p634 :rule skolemize :premises (@p633)) % 0.49/5.50 (step @p635 :rule bool-double-not-elim :args (@t596)) % 0.49/5.50 (step @p636 :rule refl :args (@t618)) % 0.49/5.50 (step @p637 :rule nary_cong :premises (@p636 @p635) :args ((or @t618 (not @t597)))) % 0.49/5.50 (step @p638 :rule cnf_or_neg :args (@t618 1)) % 0.49/5.50 (step @p639 :rule eq_resolve :premises (@p638 @p637)) % 0.49/5.50 (step @p640 :rule reordering :premises (@p639) :args ((or @t596 @t618))) % 0.49/5.50 (step @p641 :rule chain_m_resolution :premises (@p640 @p634) :args (@t596 @t619 @t620)) % 0.49/5.50 (step @p642 :rule bool-double-not-elim :args (@t598)) % 0.49/5.50 (step @p643 :rule nary_cong :premises (@p636 @p642) :args ((or @t618 (not @t599)))) % 0.49/5.50 (step @p644 :rule cnf_or_neg :args (@t618 0)) % 0.49/5.50 (step @p645 :rule eq_resolve :premises (@p644 @p643)) % 0.49/5.50 (step @p646 :rule reordering :premises (@p645) :args ((or @t598 @t618))) % 0.49/5.50 (step @p647 :rule chain_m_resolution :premises (@p646 @p634) :args (@t598 @t619 @t620)) % 0.49/5.50 (step @p648 :rule cnf_or_pos :args (@t604)) % 0.49/5.50 (step @p649 :rule reordering :premises (@p648) :args ((or @t599 @t597 @t603 (not @t604)))) % 0.49/5.50 (step @p650 :rule chain_m_resolution :premises (@p649 @p647 @p641 @p608) :args (@t603 (@list false false false) (@list @t598 @t596 @t604))) % 0.49/5.50 (step @p651 :rule cnf_and_pos :args (@t603 0)) % 0.49/5.50 (step @p652 :rule reordering :premises (@p651) :args ((or @t602 (not @t603)))) % 0.49/5.50 (step @p653 :rule chain_m_resolution :premises (@p652 @p650) :args (@t602 @t605 (@list @t603))) % 0.49/5.50 (step @p654 :rule cnf_or_neg :args (@t618 2)) % 0.49/5.50 (step @p655 :rule chain_m_resolution :premises (@p654 @p634) :args ((not @t617) @t619 @t620)) % 0.49/5.50 (step @p656 :rule cnf_equiv_neg2 :args (@t617)) % 0.49/5.50 (step @p657 :rule bool-impl-elim :args (@t96 @t621)) % 0.49/5.50 (step @p658 :rule cong :premises (@p657) :args ((forall @t12 (=> @t96 @t621)))) % 0.49/5.50 (step @p659 :rule eq-symm :args (@t69 @t8)) % 0.49/5.50 (step @p660 :rule refl :args (@t96)) % 0.49/5.50 (step @p661 :rule cong :premises (@p660 @p659) :args (@t490)) % 0.49/5.50 (step @p662 :rule cong :premises (@p661) :args (@t491)) % 0.49/5.50 (step @p663 :rule trans :premises (@p662 @p658)) % 0.49/5.50 (step @p664 :rule eq_resolve :premises (@p391 @p663)) % 0.49/5.50 (step @p665 :rule instantiate :premises (@p664) :args (@t572)) % 0.49/5.50 (step @p666 :rule cnf_or_pos :args (@t624)) % 0.49/5.50 (step @p667 :rule reordering :premises (@p666) :args ((or 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(or @t46 @t630) @t644) @t645))) % 0.49/5.50 (step @p682 :rule refl :args (@t644)) % 0.49/5.50 (step @p683 :rule bool-double-not-elim :args (@t46)) % 0.49/5.50 (step @p684 :rule nary_cong :premises (@p683 @p672) :args ((or (not @t47) @t630))) % 0.49/5.50 (step @p685 :rule bool-and-de-morgan :args (@t47 @t73 true)) % 0.49/5.50 (step @p686 :rule trans :premises (@p685 @p684)) % 0.49/5.50 (step @p687 :rule nary_cong :premises (@p686 @p682) :args ((or (not @t155) @t644))) % 0.49/5.50 (step @p688 :rule trans :premises (@p687 @p681)) % 0.49/5.50 (step @p689 :rule bool-impl-elim :args (@t155 @t644)) % 0.49/5.50 (step @p690 :rule trans :premises (@p689 @p688)) % 0.49/5.50 (step @p691 :rule cong :premises (@p690) :args ((forall @t7 (=> @t155 @t644)))) % 0.49/5.50 (step @p692 :rule trans :premises (@p691 @p680)) % 0.49/5.50 (step @p693 :rule aci_norm :args ((= @t647 @t642))) % 0.49/5.50 (step @p694 :rule cong :premises (@p693) :args (@t648)) % 0.49/5.50 (step @p695 :rule quant-merge-prenex :args 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(=> @t71 @t653)))) % 0.49/5.50 (step @p710 :rule eq-symm :args (@t154 @t55)) % 0.49/5.50 (step @p711 :rule refl :args (@t202)) % 0.49/5.50 (step @p712 :rule cong :premises (@p711 @p710) :args (@t203)) % 0.49/5.50 (step @p713 :rule refl :args (@t71)) % 0.49/5.50 (step @p714 :rule cong :premises (@p713 @p712) :args (@t204)) % 0.49/5.50 (step @p715 :rule cong :premises (@p714) :args (@t205)) % 0.49/5.50 (step @p716 :rule trans :premises (@p715 @p709)) % 0.49/5.50 (step @p717 :rule refl :args (@t72)) % 0.49/5.50 (step @p718 :rule cong :premises (@p717 @p716) :args (@t206)) % 0.49/5.50 (step @p719 :rule cong :premises (@p718) :args (@t207)) % 0.49/5.50 (step @p720 :rule trans :premises (@p719 @p707)) % 0.49/5.50 (step @p721 :rule refl :args (@t155)) % 0.49/5.50 (step @p722 :rule cong :premises (@p721 @p720) :args (@t208)) % 0.49/5.50 (step @p723 :rule cong :premises (@p722) :args (@t209)) % 0.49/5.50 (step @p724 :rule trans :premises (@p723 @p692)) % 0.49/5.50 (step @p725 :rule eq_resolve 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:rule instantiate :premises (@p737) :args (@t659)) % 0.49/5.50 (step @p739 :rule cnf_or_pos :args (@t664)) % 0.49/5.50 (step @p740 :rule reordering :premises (@p739) :args ((or @t663 @t661 (not @t664)))) % 0.49/5.50 (step @p741 :rule chain_m_resolution :premises (@p740 @p738 @p730) :args (@t661 @t665 (@list @t662 @t664))) % 0.49/5.50 (step @p742 :rule cnf_and_pos :args (@t661 1)) % 0.49/5.50 (step @p743 :rule reordering :premises (@p742) :args ((or @t660 (not @t661)))) % 0.49/5.50 (step @p744 :rule chain_m_resolution :premises (@p743 @p741) :args (@t660 @t605 (@list @t661))) % 0.49/5.50 (step @p745 :rule alpha_equiv :args (@t657 @t656 (@list (@var "BOUND_VARIABLE_14050" $$unsorted)))) % 0.49/5.50 (step @p746 :rule alpha_equiv :args (@t666 @t656 (@list (@var "BOUND_VARIABLE_14043" $$unsorted)))) % 0.49/5.50 (step @p747 :rule nary_cong :premises (@p746 @p745) :args (@t667)) % 0.49/5.50 (step @p748 :rule quant-miniscope-and :args ((= @t313 @t667))) % 0.49/5.50 (step @p749 :rule trans :premises (@p748 @p747)) % 0.49/5.50 (step @p750 :rule eq_resolve :premises (@p199 @p749)) % 0.49/5.50 (step @p751 :rule and_elim :premises (@p750) :args (0)) % 0.49/5.50 (step @p752 :rule instantiate :premises (@p751) :args (@t659)) % 0.49/5.50 (step @p753 :rule cnf_or_pos :args (@t672)) % 0.49/5.50 (step @p754 :rule reordering :premises (@p753) :args ((or @t599 @t597 @t671 @t670 @t669 (not @t672)))) % 0.49/5.50 (step @p755 :rule chain_m_resolution :premises (@p754 @p647 @p641 @p752 @p744 @p726) :args (@t669 (@list false false true false false) (@list @t598 @t596 @t671 @t660 @t672))) % 0.49/5.50 (step @p756 :rule cnf_equiv_pos2 :args (@t669)) % 0.49/5.50 (step @p757 :rule reordering :premises (@p756) :args ((or @t615 @t674 @t673))) % 0.49/5.50 (assume-push @p823 @t622) % 0.49/5.50 (assume-push @p824 @t602) % 0.49/5.50 (assume-push @p825 @t602) % 0.49/5.50 (assume-push @p826 @t622) % 0.49/5.50 (step @p762 :rule symm :premises (@p653)) % 0.49/5.50 (step @p763 :rule trans :premises (@p823 @p762)) % 0.49/5.50 (step-pop @p827 :rule scope :premises (@p763)) % 0.49/5.50 (step-pop @p828 :rule scope :premises (@p827)) % 0.49/5.50 (step @p764 :rule process_scope :premises (@p828) :args (@t668)) % 0.49/5.50 (step @p767 :rule and_intro :premises (@p653 @p823)) % 0.49/5.50 (step @p768 :rule modus_ponens :premises (@p767 @p764)) % 0.49/5.50 (step-pop @p829 :rule scope :premises (@p768)) % 0.49/5.50 (step-pop @p830 :rule scope :premises (@p829)) % 0.49/5.50 (step @p769 :rule process_scope :premises (@p830) :args (@t668)) % 0.49/5.50 (step @p772 :rule implies_elim :premises (@p769)) % 0.49/5.50 (step @p773 :rule cnf_and_neg :args (@t675)) % 0.49/5.50 (step @p774 :rule resolution :premises (@p773 @p772) :args (true @t675)) % 0.49/5.50 (step @p775 :rule reordering :premises (@p774) :args ((or @t668 (not @t622) @t676))) % 0.49/5.50 (step @p776 :rule chain_m_resolution :premises (@p775 @p653 @p757 @p755 @p667 @p665 @p656 @p655) :args (@t623 (@list false true false false false true true) (@list @t602 @t668 @t669 @t622 @t624 @t615 @t617))) % 0.49/5.50 (step @p777 :rule cnf_equiv_neg1 :args (@t617)) % 0.49/5.50 (step @p778 :rule reordering :premises (@p777) :args ((or @t616 @t615 @t617))) % 0.49/5.50 (step @p779 :rule chain_m_resolution :premises (@p778 @p776 @p655) :args (@t615 (@list true true) (@list @t616 @t617))) % 0.49/5.50 (step @p780 :rule cnf_equiv_pos1 :args (@t669)) % 0.49/5.50 (step @p781 :rule reordering :premises (@p780) :args ((or (not @t615) @t668 @t673))) % 0.49/5.50 (step @p782 :rule chain_m_resolution :premises (@p781 @p779 @p755) :args (@t668 @t665 (@list @t615 @t669))) % 0.49/5.50 (step @p783 :rule refl :args (@t678)) % 0.49/5.50 (step @p784 :rule refl :args (@t676)) % 0.49/5.50 (step @p785 :rule refl :args (@t674)) % 0.49/5.50 (step @p786 :rule bool-double-not-elim :args (@t616)) % 0.49/5.50 (step @p787 :rule nary_cong :premises (@p786 @p785 @p784 @p783) :args ((or (not @t623) @t674 @t676 @t678))) % 0.49/5.50 (assume-push @p831 @t677) % 0.49/5.50 (assume-push @p832 @t602) % 0.49/5.50 (assume-push @p833 @t668) % 0.49/5.50 (assume-push @p834 @t623) % 0.49/5.50 (step @p792 :rule evaluate :args ((= false true))) % 0.49/5.50 (step @p793 :rule true_intro :premises (@p564)) % 0.49/5.50 (step @p794 :rule trans :premises (@p833 @p653)) % 0.49/5.50 (step @p795 :rule refl :args (@t571)) % 0.49/5.50 (step @p796 :rule cong :premises (@p795 @p794) :args (@t616)) % 0.49/5.50 (step @p797 :rule false_intro :premises (@p834)) % 0.49/5.50 (step @p798 :rule symm :premises (@p797)) % 0.49/5.50 (step @p799 :rule trans :premises (@p798 @p796 @p793)) % 0.49/5.50 (step @p800 false :rule eq_resolve :premises (@p799 @p792)) % 0.49/5.50 (step-pop @p835 :rule scope :premises (@p800)) % 0.49/5.50 (step-pop @p836 :rule scope :premises (@p835)) % 0.49/5.50 (step-pop @p837 :rule scope :premises (@p836)) % 0.49/5.50 (step-pop @p838 :rule scope :premises (@p837)) % 0.49/5.50 (step @p801 :rule process_scope :premises (@p838) :args (false)) % 0.49/5.50 (assume-push @p839 @t623) % 0.49/5.50 (assume-push @p840 @t668) % 0.49/5.53 (assume-push @p841 @t602) % 0.49/5.53 (assume-push @p842 @t677) % 0.49/5.53 (step @p810 :rule and_intro :premises (@p564 @p653 @p840 @p839)) % 0.49/5.53 (step-pop @p843 :rule scope :premises (@p810)) % 0.49/5.53 (step-pop @p844 :rule scope :premises (@p843)) % 0.49/5.53 (step-pop @p845 :rule scope :premises (@p844)) % 0.49/5.53 (step-pop @p846 :rule scope :premises (@p845)) % 0.49/5.53 (step @p811 :rule process_scope :premises (@p846) :args (@t679)) % 0.49/5.53 (step @p816 :rule implies_elim :premises (@p811)) % 0.49/5.53 (step @p817 :rule resolution :premises (@p816 @p801) :args (true @t679)) % 0.49/5.53 (step @p818 :rule not_and :premises (@p817)) % 0.49/5.53 (step @p819 :rule eq_resolve :premises (@p818 @p787)) % 0.49/5.53 (step @p820 false :rule chain_m_resolution :premises (@p819 @p782 @p776 @p653 @p564) :args (false (@list false true false false) (@list @t668 @t616 @t602 @t677))) % 0.49/5.53 ) % 0.49/5.53 % SZS output end Proof % 0.49/5.53 % cvc5 exiting %------------------------------------------------------------------------------