%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU337+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 : n024.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 08:51:26 AM UTC 2026 % Result : Theorem 0.72s 0.90s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU337+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 11:58:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.40 %----Proving TF0_NAR, FOF, or CNF % 0.72/0.90 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.72/0.90 % SZS status Theorem % 0.72/0.90 % SZS output start Proof % 0.72/0.90 ( % 0.72/0.90 (declare-sort $$unsorted 0) % 0.72/0.90 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.function (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.empty_set $$unsorted) % 0.72/0.90 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.omega $$unsorted) % 0.72/0.90 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.72/0.90 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.72/0.90 (declare-const tptp.top_str (-> $$unsorted Bool)) % 0.72/0.90 (define @t1 () (@var "A" $$unsorted)) % 0.72/0.90 (define @t2 () (@var "B" $$unsorted)) % 0.72/0.90 (define @t3 () (tptp.in @t2 @t1)) % 0.72/0.90 (define @t4 () (not @t3)) % 0.72/0.90 (define @t5 () (tptp.in @t1 @t2)) % 0.72/0.90 (define @t6 () (@list @t1 @t2)) % 0.72/0.90 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.72/0.90 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.72/0.90 (define @t9 () (tptp.v1_xcmplx_0 @t2)) % 0.72/0.90 (define @t10 () (tptp.element @t2 @t1)) % 0.72/0.90 (define @t11 () (@list @t2)) % 0.72/0.90 (define @t12 () (tptp.v1_membered @t1)) % 0.72/0.90 (define @t13 () (@list @t1)) % 0.72/0.90 (define @t14 () (tptp.v1_xreal_0 @t2)) % 0.72/0.90 (define @t15 () (tptp.v2_membered @t1)) % 0.72/0.90 (define @t16 () (tptp.v1_rat_1 @t2)) % 0.72/0.90 (define @t17 () (tptp.v3_membered @t1)) % 0.72/0.90 (define @t18 () (tptp.v1_int_1 @t2)) % 0.72/0.90 (define @t19 () (tptp.v4_membered @t1)) % 0.72/0.90 (define @t20 () (tptp.natural @t2)) % 0.72/0.90 (define @t21 () (tptp.v5_membered @t1)) % 0.72/0.90 (define @t22 () (tptp.empty @t1)) % 0.72/0.90 (define @t23 () (tptp.v1_membered @t2)) % 0.72/0.90 (define @t24 () (tptp.powerset @t1)) % 0.72/0.90 (define @t25 () (tptp.element @t2 @t24)) % 0.72/0.90 (define @t26 () (tptp.v2_membered @t2)) % 0.72/0.90 (define @t27 () (tptp.v3_membered @t2)) % 0.72/0.90 (define @t28 () (tptp.v4_membered @t2)) % 0.72/0.90 (define @t29 () (tptp.ordinal @t2)) % 0.72/0.90 (define @t30 () (tptp.epsilon_connected @t2)) % 0.72/0.90 (define @t31 () (tptp.epsilon_transitive @t2)) % 0.72/0.90 (define @t32 () (tptp.ordinal @t1)) % 0.72/0.90 (define @t33 () (tptp.finite @t1)) % 0.72/0.90 (define @t34 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 0.72/0.90 (define @t35 () (tptp.preboolean @t1)) % 0.72/0.90 (define @t36 () (tptp.function @t1)) % 0.72/0.90 (define @t37 () (tptp.epsilon_connected @t1)) % 0.72/0.90 (define @t38 () (tptp.epsilon_transitive @t1)) % 0.72/0.90 (define @t39 () (and @t38 @t37)) % 0.72/0.90 (define @t40 () (tptp.relation @t1)) % 0.72/0.90 (define @t41 () (@var "C" $$unsorted)) % 0.72/0.90 (define @t42 () (tptp.relation @t41)) % 0.72/0.90 (define @t43 () (tptp.cartesian_product2 @t1 @t2)) % 0.72/0.90 (define @t44 () (tptp.element @t41 (tptp.powerset @t43))) % 0.72/0.90 (define @t45 () (@list @t1 @t2 @t41)) % 0.72/0.90 (define @t46 () (tptp.natural @t1)) % 0.72/0.90 (define @t47 () (and @t38 @t37 @t32 @t46)) % 0.72/0.90 (define @t48 () (tptp.finite @t2)) % 0.72/0.90 (define @t49 () (tptp.one_to_one @t1)) % 0.72/0.90 (define @t50 () (and @t40 @t36 @t49)) % 0.72/0.90 (define @t51 () (and @t40 @t22 @t36)) % 0.72/0.90 (define @t52 () (and @t38 @t37 @t32)) % 0.72/0.90 (define @t53 () (tptp.unordered_pair @t1 @t2)) % 0.72/0.90 (define @t54 () (tptp.set_union2 @t2 @t1)) % 0.72/0.90 (define @t55 () (tptp.set_union2 @t1 @t2)) % 0.72/0.90 (define @t56 () (tptp.join_commut @t1 @t2 @t41)) % 0.72/0.90 (define @t57 () (tptp.the_carrier @t1)) % 0.72/0.90 (define @t58 () (tptp.element @t41 @t57)) % 0.72/0.90 (define @t59 () (tptp.element @t2 @t57)) % 0.72/0.90 (define @t60 () (tptp.join_semilatt_str @t1)) % 0.72/0.90 (define @t61 () (tptp.join_commutative @t1)) % 0.72/0.90 (define @t62 () (tptp.empty_carrier @t1)) % 0.72/0.90 (define @t63 () (not @t62)) % 0.72/0.90 (define @t64 () (and @t63 @t61 @t60 @t59 @t58)) % 0.72/0.90 (define @t65 () (tptp.set_intersection2 @t2 @t1)) % 0.72/0.90 (define @t66 () (tptp.set_intersection2 @t1 @t2)) % 0.72/0.90 (define @t67 () (tptp.meet_commut @t1 @t2 @t41)) % 0.72/0.90 (define @t68 () (tptp.meet_semilatt_str @t1)) % 0.72/0.90 (define @t69 () (tptp.meet_commutative @t1)) % 0.72/0.90 (define @t70 () (and @t63 @t69 @t68 @t59 @t58)) % 0.72/0.90 (define @t71 () (tptp.subset_intersection2 @t1 @t2 @t41)) % 0.72/0.90 (define @t72 () (tptp.element @t41 @t24)) % 0.72/0.90 (define @t73 () (and @t25 @t72)) % 0.72/0.90 (define @t74 () (tptp.ordinal_subset @t1 @t2)) % 0.72/0.90 (define @t75 () (and @t32 @t29)) % 0.72/0.90 (define @t76 () (@var "D" $$unsorted)) % 0.72/0.90 (define @t77 () (= @t41 @t76)) % 0.72/0.90 (define @t78 () (tptp.in @t41 @t1)) % 0.72/0.90 (define @t79 () (tptp.ordered_pair @t41 @t76)) % 0.72/0.90 (define @t80 () (tptp.in @t79 @t2)) % 0.72/0.90 (define @t81 () (@list @t41 @t76)) % 0.72/0.90 (define @t82 () (tptp.identity_relation @t1)) % 0.72/0.90 (define @t83 () (= @t2 @t82)) % 0.72/0.90 (define @t84 () (tptp.relation @t2)) % 0.72/0.90 (define @t85 () (tptp.subset @t2 @t1)) % 0.72/0.90 (define @t86 () (tptp.subset @t1 @t2)) % 0.72/0.90 (define @t87 () (= @t1 @t2)) % 0.72/0.90 (define @t88 () (@var "E" $$unsorted)) % 0.72/0.90 (define @t89 () (tptp.ordered_pair @t76 @t88)) % 0.72/0.90 (define @t90 () (tptp.in @t89 @t1)) % 0.72/0.90 (define @t91 () (tptp.in @t76 @t2)) % 0.72/0.90 (define @t92 () (tptp.in @t89 @t41)) % 0.72/0.90 (define @t93 () (@list @t76 @t88)) % 0.72/0.90 (define @t94 () (tptp.relation_dom_restriction @t1 @t2)) % 0.72/0.90 (define @t95 () (@list @t2 @t41)) % 0.72/0.90 (define @t96 () (tptp.in @t88 @t2)) % 0.72/0.90 (define @t97 () (tptp.relation_dom @t1)) % 0.72/0.90 (define @t98 () (@list @t88)) % 0.72/0.90 (define @t99 () (tptp.in @t76 @t41)) % 0.72/0.90 (define @t100 () (@list @t76)) % 0.72/0.90 (define @t101 () (tptp.relation_image @t1 @t2)) % 0.72/0.90 (define @t102 () (= @t41 @t101)) % 0.72/0.90 (define @t103 () (and @t40 @t36)) % 0.72/0.90 (define @t104 () (tptp.in @t88 @t1)) % 0.72/0.90 (define @t105 () (tptp.relation_rng_restriction @t1 @t2)) % 0.72/0.90 (define @t106 () (@list @t41)) % 0.72/0.90 (define @t107 () (tptp.relation_field @t1)) % 0.72/0.90 (define @t108 () (tptp.antisymmetric @t1)) % 0.72/0.90 (define @t109 () (tptp.apply @t1 @t76)) % 0.72/0.90 (define @t110 () (tptp.in @t76 @t97)) % 0.72/0.90 (define @t111 () (= @t41 (tptp.relation_inverse_image @t1 @t2))) % 0.72/0.90 (define @t112 () (tptp.powerset @t57)) % 0.72/0.90 (define @t113 () (tptp.element @t88 @t112)) % 0.72/0.90 (define @t114 () (tptp.topstr_closure @t1 @t2)) % 0.72/0.90 (define @t115 () (tptp.element @t41 @t112)) % 0.72/0.90 (define @t116 () (tptp.element @t2 @t112)) % 0.72/0.90 (define @t117 () (tptp.top_str @t1)) % 0.72/0.90 (define @t118 () (tptp.ordered_pair @t88 @t76)) % 0.72/0.90 (define @t119 () (tptp.connected @t1)) % 0.72/0.90 (define @t120 () (tptp.transitive @t1)) % 0.72/0.90 (define @t121 () (tptp.in @t88 @t76)) % 0.72/0.90 (define @t122 () (@list @t1 @t2 @t41 @t76)) % 0.72/0.90 (define @t123 () (tptp.relation_dom @t2)) % 0.72/0.90 (define @t124 () (tptp.relation_rng @t2)) % 0.72/0.90 (define @t125 () (tptp.function @t2)) % 0.72/0.90 (define @t126 () (tptp.in (tptp.ordered_pair @t2 @t76) @t1)) % 0.72/0.90 (define @t127 () (tptp.ordered_pair @t2 @t41)) % 0.72/0.90 (define @t128 () (tptp.in @t127 @t1)) % 0.72/0.90 (define @t129 () (@list @t2 @t41 @t76)) % 0.72/0.90 (define @t130 () (= @t41 tptp.empty_set)) % 0.72/0.90 (define @t131 () (tptp.quasi_total @t41 @t1 @t2)) % 0.72/0.90 (define @t132 () (= @t1 tptp.empty_set)) % 0.72/0.90 (define @t133 () (= @t2 tptp.empty_set)) % 0.72/0.90 (define @t134 () (tptp.relation_dom_as_subset @t1 @t2 @t41)) % 0.72/0.90 (define @t135 () (tptp.relation_of2_as_subset @t41 @t1 @t2)) % 0.72/0.90 (define @t136 () (tptp.the_L_join @t1)) % 0.72/0.90 (define @t137 () (tptp.join @t1 @t2 @t41)) % 0.72/0.90 (define @t138 () (and @t63 @t60)) % 0.72/0.90 (define @t139 () (= @t2 @t41)) % 0.72/0.90 (define @t140 () (= @t1 @t79)) % 0.72/0.90 (define @t141 () (exists @t95 (= @t1 @t127))) % 0.72/0.90 (define @t142 () (tptp.singleton @t1)) % 0.72/0.90 (define @t143 () (tptp.succ @t1)) % 0.72/0.90 (define @t144 () (tptp.the_topology @t1)) % 0.72/0.90 (define @t145 () (tptp.in @t2 @t144)) % 0.72/0.90 (define @t146 () (tptp.union_of_subsets @t57 @t2)) % 0.72/0.90 (define @t147 () (tptp.powerset @t112)) % 0.72/0.90 (define @t148 () (tptp.element @t2 @t147)) % 0.72/0.90 (define @t149 () (tptp.topological_space @t1)) % 0.72/0.90 (define @t150 () (tptp.in @t41 @t2)) % 0.72/0.90 (define @t151 () (tptp.is_reflexive_in @t1 @t2)) % 0.72/0.90 (define @t152 () (tptp.relation_of2 @t41 @t1 @t2)) % 0.72/0.90 (define @t153 () (= @t2 (tptp.set_meet @t1))) % 0.72/0.90 (define @t154 () (tptp.in @t41 @t76)) % 0.72/0.90 (define @t155 () (tptp.in @t76 @t1)) % 0.72/0.90 (define @t156 () (not @t132)) % 0.72/0.90 (define @t157 () (tptp.empty @t57)) % 0.72/0.90 (define @t158 () (tptp.one_sorted_str @t1)) % 0.72/0.90 (define @t159 () (tptp.subset_complement @t57 @t2)) % 0.72/0.90 (define @t160 () (tptp.interior @t1 @t2)) % 0.72/0.90 (define @t161 () (tptp.open_subset @t41 @t1)) % 0.72/0.90 (define @t162 () (tptp.open_subsets @t2 @t1)) % 0.72/0.90 (define @t163 () (= @t76 @t2)) % 0.72/0.90 (define @t164 () (tptp.subset @t41 @t76)) % 0.72/0.90 (define @t165 () (tptp.relation_field @t2)) % 0.72/0.90 (define @t166 () (tptp.inclusion_relation @t1)) % 0.72/0.90 (define @t167 () (tptp.the_L_meet @t1)) % 0.72/0.90 (define @t168 () (tptp.meet @t1 @t2 @t41)) % 0.72/0.90 (define @t169 () (= @t2 @t76)) % 0.72/0.90 (define @t170 () (tptp.empty_carrier_subset @t1)) % 0.72/0.90 (define @t171 () (tptp.in @t79 @t1)) % 0.72/0.90 (define @t172 () (tptp.empty @t2)) % 0.72/0.90 (define @t173 () (not @t22)) % 0.72/0.90 (define @t174 () (forall @t106 (=> @t115 (=> @t150 (tptp.closed_subset @t41 @t1))))) % 0.72/0.90 (define @t175 () (tptp.closed_subsets @t2 @t1)) % 0.72/0.90 (define @t176 () (not @t133)) % 0.72/0.90 (define @t177 () (tptp.well_founded_relation @t1)) % 0.72/0.90 (define @t178 () (@var "F" $$unsorted)) % 0.72/0.90 (define @t179 () (tptp.ordered_pair @t88 @t178)) % 0.72/0.90 (define @t180 () (tptp.in @t178 @t2)) % 0.72/0.90 (define @t181 () (@list @t88 @t178)) % 0.72/0.90 (define @t182 () (tptp.below @t1 @t2 @t41)) % 0.72/0.90 (define @t183 () (not @t150)) % 0.72/0.90 (define @t184 () (not @t139)) % 0.72/0.90 (define @t185 () (tptp.in @t2 @t41)) % 0.72/0.90 (define @t186 () (tptp.cast_as_carrier_subset @t1)) % 0.72/0.90 (define @t187 () (forall @t106 (=> @t78 @t150))) % 0.72/0.90 (define @t188 () (not @t130)) % 0.72/0.90 (define @t189 () (tptp.subset @t41 @t2)) % 0.72/0.90 (define @t190 () (tptp.is_well_founded_in @t1 @t2)) % 0.72/0.90 (define @t191 () (tptp.apply @t1 @t2)) % 0.72/0.90 (define @t192 () (= @t41 @t191)) % 0.72/0.90 (define @t193 () (tptp.in @t2 @t97)) % 0.72/0.90 (define @t194 () (tptp.in (tptp.ordered_pair @t76 @t41) @t1)) % 0.72/0.90 (define @t195 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.72/0.90 (define @t196 () (tptp.cast_to_subset @t1)) % 0.72/0.90 (define @t197 () (tptp.union @t1)) % 0.72/0.90 (define @t198 () (tptp.reflexive @t1)) % 0.72/0.90 (define @t199 () (tptp.well_ordering @t1)) % 0.72/0.90 (define @t200 () (tptp.relation_rng @t41)) % 0.72/0.90 (define @t201 () (tptp.relation_dom @t41)) % 0.72/0.90 (define @t202 () (= @t201 @t1)) % 0.72/0.90 (define @t203 () (tptp.one_to_one @t41)) % 0.72/0.90 (define @t204 () (tptp.function @t41)) % 0.72/0.90 (define @t205 () (tptp.equipotent @t1 @t2)) % 0.72/0.90 (define @t206 () (tptp.set_difference @t1 @t2)) % 0.72/0.90 (define @t207 () (and @t110 (= @t41 @t109))) % 0.72/0.90 (define @t208 () (tptp.relation_rng @t1)) % 0.72/0.90 (define @t209 () (= @t2 @t208)) % 0.72/0.90 (define @t210 () (tptp.being_limit_ordinal @t1)) % 0.72/0.90 (define @t211 () (tptp.open_subset @t2 @t1)) % 0.72/0.90 (define @t212 () (tptp.subset_complement @t1 @t2)) % 0.72/0.90 (define @t213 () (tptp.ordered_pair @t1 @t2)) % 0.72/0.90 (define @t214 () (tptp.is_connected_in @t1 @t2)) % 0.72/0.90 (define @t215 () (tptp.is_transitive_in @t1 @t2)) % 0.72/0.90 (define @t216 () (tptp.subset_difference @t57 @t186 @t2)) % 0.72/0.90 (define @t217 () (tptp.closed_subset @t2 @t1)) % 0.72/0.90 (define @t218 () (tptp.cartesian_product2 @t2 @t2)) % 0.72/0.90 (define @t219 () (tptp.relation_restriction @t1 @t2)) % 0.72/0.90 (define @t220 () (tptp.relation_inverse @t1)) % 0.72/0.90 (define @t221 () (tptp.apply @t41 @t88)) % 0.72/0.90 (define @t222 () (tptp.apply @t41 @t76)) % 0.72/0.90 (define @t223 () (tptp.relation_isomorphism @t1 @t2 @t41)) % 0.72/0.90 (define @t224 () (and @t42 @t204)) % 0.72/0.90 (define @t225 () (tptp.disjoint @t1 @t2)) % 0.72/0.90 (define @t226 () (tptp.meet_absorbing @t1)) % 0.72/0.90 (define @t227 () (tptp.latt_str @t1)) % 0.72/0.90 (define @t228 () (tptp.is_a_cover_of_carrier @t1 @t2)) % 0.72/0.90 (define @t229 () (@list @t178)) % 0.72/0.90 (define @t230 () (tptp.relation_composition @t1 @t2)) % 0.72/0.90 (define @t231 () (@list @t41 @t76 @t88)) % 0.72/0.90 (define @t232 () (tptp.complements_of_subsets @t1 @t2)) % 0.72/0.90 (define @t233 () (tptp.powerset @t24)) % 0.72/0.90 (define @t234 () (tptp.element @t2 @t233)) % 0.72/0.90 (define @t235 () (not @t87)) % 0.72/0.90 (define @t236 () (tptp.function_inverse @t1)) % 0.72/0.90 (define @t237 () (and @t117 @t116)) % 0.72/0.90 (define @t238 () (tptp.apply_binary_as_element @t1 @t2 @t41 @t76 @t88 @t178)) % 0.72/0.90 (define @t239 () (tptp.function @t76)) % 0.72/0.90 (define @t240 () (not @t172)) % 0.72/0.90 (define @t241 () (and @t173 @t240 @t239 (tptp.quasi_total @t76 @t43 @t41) (tptp.relation_of2 @t76 @t43 @t41) (tptp.element @t88 @t1) (tptp.element @t178 @t2))) % 0.72/0.90 (define @t242 () (@list @t1 @t2 @t41 @t76 @t88 @t178)) % 0.72/0.90 (define @t243 () (tptp.relation @t220)) % 0.72/0.90 (define @t244 () (tptp.relation @t230)) % 0.72/0.90 (define @t245 () (and @t40 @t84)) % 0.72/0.90 (define @t246 () (tptp.powerset @t2)) % 0.72/0.90 (define @t247 () (tptp.relation_rng_as_subset @t1 @t2 @t41)) % 0.72/0.90 (define @t248 () (tptp.union_of_subsets @t1 @t2)) % 0.72/0.90 (define @t249 () (tptp.relation @t82)) % 0.72/0.90 (define @t250 () (tptp.meet_of_subsets @t1 @t2)) % 0.72/0.90 (define @t251 () (tptp.subset_difference @t1 @t2 @t41)) % 0.72/0.90 (define @t252 () (tptp.relation @t94)) % 0.72/0.90 (define @t253 () (tptp.element @t232 @t233)) % 0.72/0.90 (define @t254 () (forall @t6 (=> @t234 @t253))) % 0.72/0.90 (define @t255 () (tptp.relation @t105)) % 0.72/0.90 (define @t256 () (tptp.cartesian_product2 @t57 @t57)) % 0.72/0.90 (define @t257 () (tptp.finite @t66)) % 0.72/0.90 (define @t258 () (tptp.relation_composition @t2 @t1)) % 0.72/0.90 (define @t259 () (and @t22 @t84)) % 0.72/0.90 (define @t260 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.72/0.90 (define @t261 () (tptp.relation tptp.empty_set)) % 0.72/0.90 (define @t262 () (tptp.empty tptp.empty_set)) % 0.72/0.90 (define @t263 () (tptp.relation_empty_yielding @t1)) % 0.72/0.90 (define @t264 () (and @t40 @t263)) % 0.72/0.90 (define @t265 () (not (tptp.empty @t142))) % 0.72/0.90 (define @t266 () (not (tptp.empty @t24))) % 0.72/0.90 (define @t267 () (not (tptp.empty @t143))) % 0.72/0.90 (define @t268 () (and @t63 @t158)) % 0.72/0.90 (define @t269 () (tptp.v1_membered @t66)) % 0.72/0.90 (define @t270 () (tptp.v1_membered @t65)) % 0.72/0.90 (define @t271 () (tptp.v2_membered @t66)) % 0.72/0.90 (define @t272 () (tptp.ordinal @t143)) % 0.72/0.90 (define @t273 () (tptp.epsilon_connected @t143)) % 0.72/0.90 (define @t274 () (tptp.epsilon_transitive @t143)) % 0.72/0.90 (define @t275 () (and @t149 @t117 @t116)) % 0.72/0.90 (define @t276 () (tptp.v2_membered @t65)) % 0.72/0.90 (define @t277 () (tptp.v3_membered @t66)) % 0.72/0.90 (define @t278 () (tptp.v3_membered @t65)) % 0.72/0.90 (define @t279 () (tptp.v4_membered @t66)) % 0.72/0.90 (define @t280 () (tptp.v4_membered @t65)) % 0.72/0.90 (define @t281 () (tptp.v1_membered @t206)) % 0.72/0.90 (define @t282 () (tptp.v2_membered @t206)) % 0.72/0.90 (define @t283 () (tptp.v3_membered @t206)) % 0.72/0.90 (define @t284 () (tptp.open_subset @t159 @t1)) % 0.72/0.90 (define @t285 () (tptp.v4_membered @t206)) % 0.72/0.90 (define @t286 () (tptp.closed_subset @t159 @t1)) % 0.72/0.90 (define @t287 () (and @t84 @t125)) % 0.72/0.90 (define @t288 () (and @t149 @t117)) % 0.72/0.90 (define @t289 () (tptp.empty @t97)) % 0.72/0.90 (define @t290 () (and @t173 @t40)) % 0.72/0.90 (define @t291 () (tptp.empty @t208)) % 0.72/0.90 (define @t292 () (tptp.open_subset @t160 @t1)) % 0.72/0.90 (define @t293 () (tptp.complements_of_subsets @t1 @t232)) % 0.72/0.90 (define @t294 () (=> @t234 (= @t293 @t2))) % 0.72/0.90 (define @t295 () (forall @t6 @t294)) % 0.72/0.90 (define @t296 () (tptp.in @t2 @t107)) % 0.72/0.90 (define @t297 () (tptp.disjoint @t142 @t2)) % 0.72/0.90 (define @t298 () (not @t5)) % 0.72/0.90 (define @t299 () (tptp.well_ordering @t2)) % 0.72/0.90 (define @t300 () (tptp.in (tptp.ordered_pair @t41 @t2) @t1)) % 0.72/0.90 (define @t301 () (tptp.singleton @t41)) % 0.72/0.90 (define @t302 () (not @t128)) % 0.72/0.90 (define @t303 () (tptp.singleton @t2)) % 0.72/0.90 (define @t304 () (tptp.union @t2)) % 0.72/0.90 (define @t305 () (tptp.in @t1 @t41)) % 0.72/0.90 (define @t306 () (tptp.element @t1 @t246)) % 0.72/0.90 (define @t307 () (tptp.relation_dom_restriction @t41 @t1)) % 0.72/0.90 (define @t308 () (tptp.in @t2 (tptp.relation_dom @t307))) % 0.72/0.90 (define @t309 () (tptp.one_to_one @t2)) % 0.72/0.90 (define @t310 () (tptp.set_intersection2 @t2 @t41)) % 0.72/0.90 (define @t311 () (tptp.set_difference @t2 @t41)) % 0.72/0.90 (define @t312 () (@var "K" $$unsorted)) % 0.72/0.90 (define @t313 () (@var "J" $$unsorted)) % 0.72/0.90 (define @t314 () (tptp.in @t312 @t313)) % 0.72/0.90 (define @t315 () (@list @t312)) % 0.72/0.90 (define @t316 () (@list @t313)) % 0.72/0.90 (define @t317 () (= @t76 @t88)) % 0.72/0.90 (define @t318 () (@var "I" $$unsorted)) % 0.72/0.90 (define @t319 () (@var "H" $$unsorted)) % 0.72/0.90 (define @t320 () (tptp.in @t318 @t319)) % 0.72/0.90 (define @t321 () (@list @t318)) % 0.72/0.90 (define @t322 () (@list @t319)) % 0.72/0.90 (define @t323 () (exists @t322 (and (= @t41 @t319) (tptp.in @t88 @t319) (forall @t321 (=> @t320 (tptp.in (tptp.ordered_pair @t88 @t318) @t2)))))) % 0.72/0.90 (define @t324 () (@var "G" $$unsorted)) % 0.72/0.90 (define @t325 () (tptp.in @t324 @t178)) % 0.72/0.90 (define @t326 () (@list @t324)) % 0.72/0.90 (define @t327 () (exists @t229 (and (= @t41 @t178) (tptp.in @t76 @t178) (forall @t326 (=> @t325 (tptp.in (tptp.ordered_pair @t76 @t324) @t2)))))) % 0.72/0.90 (define @t328 () (forall @t231 (=> (and @t78 @t327 @t78 @t323) @t317))) % 0.72/0.90 (define @t329 () (and @t173 @t84)) % 0.72/0.90 (define @t330 () (= @t76 @t303)) % 0.72/0.90 (define @t331 () (= @t41 @t303)) % 0.72/0.90 (define @t332 () (forall @t129 (=> (and @t3 @t331 @t3 @t330) @t77))) % 0.72/0.90 (define @t333 () (tptp.subset_complement @t57 @t319)) % 0.72/0.90 (define @t334 () (= @t319 @t76)) % 0.72/0.90 (define @t335 () (tptp.element @t319 @t112)) % 0.72/0.90 (define @t336 () (forall @t322 (=> @t335 (=> @t334 (= @t88 @t333))))) % 0.72/0.90 (define @t337 () (tptp.complements_of_subsets @t57 @t2)) % 0.72/0.90 (define @t338 () (tptp.in @t76 @t337)) % 0.72/0.90 (define @t339 () (tptp.element @t324 @t112)) % 0.72/0.90 (define @t340 () (forall @t326 (=> @t339 (=> (= @t324 @t41) (= @t88 (tptp.subset_complement @t57 @t324)))))) % 0.72/0.90 (define @t341 () (tptp.in @t41 @t337)) % 0.72/0.90 (define @t342 () (tptp.element @t178 @t112)) % 0.72/0.90 (define @t343 () (forall @t229 (=> @t342 (=> (= @t178 @t41) (= @t76 (tptp.subset_complement @t57 @t178)))))) % 0.72/0.90 (define @t344 () (forall @t231 (=> (and @t341 @t343 @t341 @t340) @t317))) % 0.72/0.90 (define @t345 () (and @t158 @t148)) % 0.72/0.90 (define @t346 () (forall @t231 (=> (and @t150 @t343 @t150 @t340) @t317))) % 0.72/0.90 (define @t347 () (tptp.ordinal @t41)) % 0.72/0.90 (define @t348 () (@var "S" $$unsorted)) % 0.72/0.90 (define @t349 () (@var "T" $$unsorted)) % 0.72/0.90 (define @t350 () (@var "R" $$unsorted)) % 0.72/0.90 (define @t351 () (tptp.powerset (tptp.powerset @t76))) % 0.72/0.90 (define @t352 () (@list @t350)) % 0.72/0.90 (define @t353 () (tptp.in @t76 tptp.omega)) % 0.72/0.90 (define @t354 () (tptp.ordinal @t76)) % 0.72/0.90 (define @t355 () (@var "P" $$unsorted)) % 0.72/0.90 (define @t356 () (@var "Q" $$unsorted)) % 0.72/0.90 (define @t357 () (@var "O" $$unsorted)) % 0.72/0.90 (define @t358 () (@list @t356)) % 0.72/0.90 (define @t359 () (@list @t355)) % 0.72/0.90 (define @t360 () (@list @t357)) % 0.72/0.90 (define @t361 () (@var "M" $$unsorted)) % 0.72/0.90 (define @t362 () (@var "N" $$unsorted)) % 0.72/0.90 (define @t363 () (@var "L" $$unsorted)) % 0.72/0.90 (define @t364 () (@list @t362)) % 0.72/0.90 (define @t365 () (tptp.in @t361 @t363)) % 0.72/0.90 (define @t366 () (@list @t361)) % 0.72/0.90 (define @t367 () (@list @t363)) % 0.72/0.90 (define @t368 () (tptp.succ @t76)) % 0.72/0.90 (define @t369 () (=> @t353 (forall @t98 (=> (tptp.element @t88 @t351) (not (and (not (= @t88 tptp.empty_set)) (forall @t229 (not (and (tptp.in @t178 @t88) (forall @t326 (=> (and (tptp.in @t324 @t88) (tptp.subset @t178 @t324)) (= @t324 @t178)))))))))))) % 0.72/0.90 (define @t370 () (tptp.subset @t2 @t41)) % 0.72/0.90 (define @t371 () (tptp.powerset tptp.empty_set)) % 0.72/0.90 (define @t372 () (tptp.apply @t41 @t178)) % 0.72/0.90 (define @t373 () (tptp.in @t178 @t1)) % 0.72/0.90 (define @t374 () (tptp.relation @t76)) % 0.72/0.90 (define @t375 () (and @t84 @t42 @t204)) % 0.72/0.90 (define @t376 () (forall @t315 (=> @t314 (tptp.in (tptp.ordered_pair @t76 @t312) @t2)))) % 0.72/0.90 (define @t377 () (tptp.in @t76 @t313)) % 0.72/0.90 (define @t378 () (= @t178 @t88)) % 0.72/0.90 (define @t379 () (tptp.cartesian_product2 @t1 @t41)) % 0.72/0.90 (define @t380 () (= @t88 @t178)) % 0.72/0.90 (define @t381 () (tptp.ordered_pair @t312 @t363)) % 0.72/0.90 (define @t382 () (@list @t312 @t363)) % 0.72/0.90 (define @t383 () (= @t76 @t178)) % 0.72/0.90 (define @t384 () (tptp.in @t313 @t318)) % 0.72/0.90 (define @t385 () (tptp.in @t324 @t1)) % 0.72/0.90 (define @t386 () (tptp.ordered_pair @t324 @t319)) % 0.72/0.90 (define @t387 () (= @t386 @t88)) % 0.72/0.90 (define @t388 () (@list @t324 @t319)) % 0.72/0.90 (define @t389 () (@list @t76 @t88 @t178)) % 0.72/0.90 (define @t390 () (tptp.ordered_pair @t313 @t312)) % 0.72/0.90 (define @t391 () (@list @t313 @t312)) % 0.72/0.90 (define @t392 () (= @t88 @t76)) % 0.72/0.90 (define @t393 () (tptp.in @t319 @t1)) % 0.72/0.90 (define @t394 () (= @t41 @t88)) % 0.72/0.90 (define @t395 () (tptp.ordered_pair @t178 @t324)) % 0.72/0.90 (define @t396 () (@list @t178 @t324)) % 0.72/0.90 (define @t397 () (= @t76 @t41)) % 0.72/0.90 (define @t398 () (not (and (not (= @t178 tptp.empty_set)) (forall @t326 (not (and @t325 (forall @t322 (=> (and (tptp.in @t319 @t178) (tptp.subset @t324 @t319)) (= @t319 @t324))))))))) % 0.72/0.90 (define @t399 () (tptp.ordinal @t88)) % 0.72/0.90 (define @t400 () (tptp.subset @t2 @t76)) % 0.72/0.90 (define @t401 () (tptp.in @t88 @t112)) % 0.72/0.90 (define @t402 () (tptp.in (tptp.set_difference @t186 @t76) @t2)) % 0.72/0.90 (define @t403 () (and @t149 @t117 @t148)) % 0.72/0.90 (define @t404 () (tptp.in @t324 @t2)) % 0.72/0.90 (define @t405 () (and @t32 (tptp.element @t2 (tptp.powerset (tptp.powerset @t143))))) % 0.72/0.90 (define @t406 () (= @t76 @t333)) % 0.72/0.90 (define @t407 () (forall @t322 (=> @t335 (=> (= @t319 @t88) @t406)))) % 0.72/0.90 (define @t408 () (tptp.in @t88 @t337)) % 0.72/0.90 (define @t409 () (forall @t360 (=> (tptp.element @t357 @t112) (=> (= @t357 @t361) (= @t362 (tptp.subset_complement @t57 @t357)))))) % 0.72/0.90 (define @t410 () (= (tptp.ordered_pair @t361 @t362) @t88)) % 0.72/0.90 (define @t411 () (@list @t361 @t362)) % 0.72/0.90 (define @t412 () (tptp.cartesian_product2 @t337 @t41)) % 0.72/0.90 (define @t413 () (forall @t367 (=> (tptp.element @t363 @t112) (=> (= @t363 @t313) (= @t312 (tptp.subset_complement @t57 @t363)))))) % 0.72/0.90 (define @t414 () (= @t390 @t178)) % 0.72/0.90 (define @t415 () (tptp.subset_complement @t57 @t318)) % 0.72/0.90 (define @t416 () (tptp.element @t318 @t112)) % 0.72/0.90 (define @t417 () (forall @t321 (=> @t416 (=> (= @t318 @t324) (= @t319 @t415))))) % 0.72/0.90 (define @t418 () (tptp.cartesian_product2 @t2 @t41)) % 0.72/0.90 (define @t419 () (tptp.cartesian_product2 @t1 @t1)) % 0.72/0.90 (define @t420 () (tptp.apply @t41 @t324)) % 0.72/0.90 (define @t421 () (tptp.in (tptp.relation_image @t41 @t88) @t2)) % 0.72/0.90 (define @t422 () (tptp.powerset @t201)) % 0.72/0.90 (define @t423 () (and @t234 @t42 @t204)) % 0.72/0.90 (define @t424 () (tptp.succ @t2)) % 0.72/0.90 (define @t425 () (= @t395 @t88)) % 0.72/0.90 (define @t426 () (exists @t98 (and @t113 @t392 (tptp.closed_subset @t88 @t1) @t400))) % 0.72/0.90 (define @t427 () (tptp.in @t76 @t112)) % 0.72/0.90 (define @t428 () (forall @t322 (=> @t335 (=> (= @t319 @t178) (= @t324 @t333))))) % 0.72/0.90 (define @t429 () (tptp.apply @t2 @t41)) % 0.72/0.90 (define @t430 () (= @t123 @t1)) % 0.72/0.90 (define @t431 () (exists @t11 (and @t84 @t125 @t430 (forall @t106 (=> @t78 (= @t429 @t301)))))) % 0.72/0.90 (define @t432 () (forall @t321 (=> @t416 (=> (= @t318 @t76) (= @t222 @t415))))) % 0.72/0.90 (define @t433 () (forall @t100 (not (forall @t322 (=> @t335 (=> (= @t319 @t41) @t406)))))) % 0.72/0.90 (define @t434 () (tptp.in @t1 tptp.omega)) % 0.72/0.90 (define @t435 () (tptp.element @t76 @t112)) % 0.72/0.90 (define @t436 () (tptp.element @t41 @t147)) % 0.72/0.90 (define @t437 () (= @t232 tptp.empty_set)) % 0.72/0.90 (define @t438 () (not (and @t176 @t437))) % 0.72/0.90 (define @t439 () (= @t1 @t41)) % 0.72/0.90 (define @t440 () (tptp.relation_rng @t105)) % 0.72/0.90 (define @t441 () (tptp.meet_of_subsets @t1 @t232)) % 0.72/0.90 (define @t442 () (tptp.union_of_subsets @t1 @t232)) % 0.72/0.90 (define @t443 () (forall @t106 (not (and @t189 (not (tptp.are_equipotent @t41 @t2)) @t183)))) % 0.72/0.90 (define @t444 () (tptp.powerset @t41)) % 0.72/0.90 (define @t445 () (forall @t81 (=> (and @t150 (tptp.subset @t76 @t41)) @t91))) % 0.72/0.90 (define @t446 () (tptp.relation_dom_restriction @t41 @t2)) % 0.72/0.90 (define @t447 () (tptp.relation_image @t2 @t1)) % 0.72/0.90 (define @t448 () (tptp.relation_inverse_image @t2 @t1)) % 0.72/0.90 (define @t449 () (tptp.relation_image @t2 @t448)) % 0.72/0.90 (define @t450 () (tptp.set_intersection2 @t123 @t1)) % 0.72/0.90 (define @t451 () (tptp.subset @t1 @t124)) % 0.72/0.90 (define @t452 () (tptp.relation_of2_as_subset @t76 @t41 @t2)) % 0.72/0.90 (define @t453 () (tptp.relation_rng @t76)) % 0.72/0.90 (define @t454 () (tptp.relation_of2_as_subset @t76 @t41 @t1)) % 0.72/0.90 (define @t455 () (tptp.relation_rng @t230)) % 0.72/0.90 (define @t456 () (tptp.relation_inverse_image @t41 @t2)) % 0.72/0.90 (define @t457 () (= @t175 (tptp.open_subsets @t337 @t1))) % 0.72/0.90 (define @t458 () (forall @t11 (=> @t148 @t457))) % 0.72/0.90 (define @t459 () (=> @t117 @t458)) % 0.72/0.90 (define @t460 () (forall @t13 @t459)) % 0.72/0.90 (define @t461 () (tptp.relation_restriction @t41 @t2)) % 0.72/0.90 (define @t462 () (= @t162 (tptp.closed_subsets @t337 @t1))) % 0.72/0.90 (define @t463 () (forall @t11 (=> @t148 @t462))) % 0.72/0.90 (define @t464 () (=> @t117 @t463)) % 0.72/0.90 (define @t465 () (forall @t13 @t464)) % 0.72/0.90 (define @t466 () (not @t465)) % 0.72/0.90 (define @t467 () (tptp.relation_restriction @t2 @t1)) % 0.72/0.90 (define @t468 () (tptp.relation_dom_restriction @t2 @t1)) % 0.72/0.90 (define @t469 () (tptp.relation_field @t41)) % 0.72/0.90 (define @t470 () (tptp.in @t1 @t469)) % 0.72/0.90 (define @t471 () (tptp.subset @t1 @t41)) % 0.72/0.90 (define @t472 () (tptp.element @t1 @t2)) % 0.72/0.90 (define @t473 () (tptp.in @t1 @t201)) % 0.72/0.90 (define @t474 () (tptp.in @t213 @t41)) % 0.72/0.90 (define @t475 () (tptp.relation_field @t467)) % 0.72/0.90 (define @t476 () (tptp.apply @t41 @t1)) % 0.72/0.90 (define @t477 () (tptp.relation_composition @t41 @t2)) % 0.72/0.90 (define @t478 () (tptp.in @t1 (tptp.relation_dom @t477))) % 0.72/0.90 (define @t479 () (tptp.apply @t76 @t41)) % 0.72/0.90 (define @t480 () (and @t239 (tptp.quasi_total @t76 @t1 @t2) (tptp.relation_of2_as_subset @t76 @t1 @t2))) % 0.72/0.90 (define @t481 () (tptp.reflexive @t2)) % 0.72/0.90 (define @t482 () (tptp.connected @t2)) % 0.72/0.90 (define @t483 () (tptp.transitive @t2)) % 0.72/0.90 (define @t484 () (tptp.antisymmetric @t2)) % 0.72/0.90 (define @t485 () (tptp.well_ordering @t467)) % 0.72/0.90 (define @t486 () (= @t475 @t1)) % 0.72/0.90 (define @t487 () (tptp.well_orders @t2 @t1)) % 0.72/0.90 (define @t488 () (tptp.well_founded_relation @t2)) % 0.72/0.90 (define @t489 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.72/0.90 (define @t490 () (and @t78 @t150)) % 0.72/0.90 (define @t491 () (not @t225)) % 0.72/0.90 (define @t492 () (= @t1 @t424)) % 0.72/0.90 (define @t493 () (tptp.subset_complement @t1 @t41)) % 0.72/0.90 (define @t494 () (tptp.disjoint @t2 @t41)) % 0.72/0.90 (define @t495 () (tptp.relation_dom @t230)) % 0.72/0.90 (define @t496 () (and (tptp.closed_subset @t76 @t1) @t400)) % 0.72/0.90 (define @t497 () (tptp.element @t2 @t444)) % 0.72/0.90 (define @t498 () (tptp.in @t41 @t66)) % 0.72/0.90 (define @t499 () (= @t114 @t2)) % 0.72/0.90 (define @t500 () (and (tptp.in @t41 @t208) (= @t76 @t429))) % 0.72/0.90 (define @t501 () (tptp.function_inverse @t2)) % 0.72/0.90 (define @t502 () (= @t208 tptp.empty_set)) % 0.72/0.90 (define @t503 () (= @t97 tptp.empty_set)) % 0.72/0.90 (define @t504 () (= (tptp.apply @t307 @t2) (tptp.apply @t41 @t2))) % 0.72/0.90 (define @t505 () (= @t142 (tptp.unordered_pair @t2 @t41))) % 0.72/0.90 (define @t506 () (= @t2 @t293)) % 0.72/0.90 (define @t507 () (@var "BOUND_VARIABLE_17080" $$unsorted)) % 0.72/0.90 (define @t508 () (= (tptp.open_subsets @t507 @t1) (tptp.closed_subsets (tptp.complements_of_subsets @t57 @t507) @t1))) % 0.72/0.90 (define @t509 () (not (tptp.element @t507 @t147))) % 0.72/0.90 (define @t510 () (not @t117)) % 0.72/0.90 (define @t511 () (or @t510 @t509 @t508)) % 0.72/0.90 (define @t512 () (@list @t1 @t507)) % 0.72/0.90 (define @t513 () (forall @t512 @t511)) % 0.72/0.90 (define @t514 () (@quantifiers_skolemize @t513 1)) % 0.72/0.90 (define @t515 () (@quantifiers_skolemize @t513 0)) % 0.72/0.90 (define @t516 () (tptp.the_carrier @t515)) % 0.72/0.90 (define @t517 () (@list @t516 @t514)) % 0.72/0.90 (define @t518 () (or @t509 @t508)) % 0.72/0.90 (define @t519 () (or @t510 @t518)) % 0.72/0.90 (define @t520 () (forall @t512 @t519)) % 0.72/0.90 (define @t521 () (@list @t507)) % 0.72/0.90 (define @t522 () (forall @t521 @t519)) % 0.72/0.90 (define @t523 () (forall @t521 @t518)) % 0.72/0.90 (define @t524 () (@list @t2)) % 0.72/0.90 (define @t525 () (or @t510 @t523)) % 0.72/0.90 (define @t526 () (not @t148)) % 0.72/0.90 (define @t527 () (forall @t11 (or @t526 @t462))) % 0.72/0.90 (define @t528 () (tptp.powerset (tptp.powerset @t516))) % 0.72/0.90 (define @t529 () (tptp.element @t514 @t528)) % 0.72/0.90 (define @t530 () (tptp.complements_of_subsets @t516 @t514)) % 0.72/0.90 (define @t531 () (tptp.closed_subsets @t530 @t515)) % 0.72/0.90 (define @t532 () (tptp.open_subsets @t514 @t515)) % 0.72/0.90 (define @t533 () (= @t532 @t531)) % 0.72/0.90 (define @t534 () (not @t529)) % 0.72/0.90 (define @t535 () (tptp.top_str @t515)) % 0.72/0.90 (define @t536 () (not @t535)) % 0.72/0.90 (define @t537 () (or @t536 @t534 @t533)) % 0.72/0.90 (define @t538 () (@list true)) % 0.72/0.90 (define @t539 () (@list @t537)) % 0.72/0.90 (define @t540 () (tptp.complements_of_subsets @t516 @t530)) % 0.72/0.90 (define @t541 () (= @t514 @t540)) % 0.72/0.90 (define @t542 () (or @t534 @t541)) % 0.72/0.90 (define @t543 () (@list false false)) % 0.72/0.90 (define @t544 () (@var "BOUND_VARIABLE_17018" $$unsorted)) % 0.72/0.90 (define @t545 () (= (tptp.closed_subsets @t544 @t1) (tptp.open_subsets (tptp.complements_of_subsets @t57 @t544) @t1))) % 0.72/0.90 (define @t546 () (not (tptp.element @t544 @t147))) % 0.72/0.90 (define @t547 () (or @t546 @t545)) % 0.72/0.90 (define @t548 () (or @t510 @t547)) % 0.72/0.90 (define @t549 () (forall (@list @t1 @t544) @t548)) % 0.72/0.90 (define @t550 () (@list @t544)) % 0.72/0.90 (define @t551 () (forall @t550 @t548)) % 0.72/0.90 (define @t552 () (forall @t550 @t547)) % 0.72/0.90 (define @t553 () (or @t510 @t552)) % 0.72/0.90 (define @t554 () (forall @t11 (or @t526 @t457))) % 0.72/0.90 (define @t555 () (tptp.element @t530 @t528)) % 0.72/0.90 (define @t556 () (or @t534 @t555)) % 0.72/0.90 (define @t557 () (tptp.open_subsets @t540 @t515)) % 0.72/0.90 (define @t558 () (= @t531 @t557)) % 0.72/0.90 (define @t559 () (not @t555)) % 0.72/0.90 (define @t560 () (or @t536 @t559 @t558)) % 0.72/0.90 (define @t561 () (not @t558)) % 0.72/0.90 (define @t562 () (not @t532)) % 0.72/0.90 (define @t563 () (not @t541)) % 0.72/0.90 (define @t564 () (not @t557)) % 0.72/0.90 (define @t565 () (and @t541 @t564)) % 0.72/0.90 (define @t566 () (and @t541 @t557)) % 0.72/0.90 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.72/0.90 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.72/0.90 (assume @p3 (forall @t13 (=> @t12 (forall @t11 (=> @t10 @t9))))) % 0.72/0.90 (assume @p4 (forall @t13 (=> @t15 (forall @t11 (=> @t10 (and @t9 @t14)))))) % 0.72/0.90 (assume @p5 (forall @t13 (=> @t17 (forall @t11 (=> @t10 (and @t9 @t14 @t16)))))) % 0.72/0.90 (assume @p6 (forall @t13 (=> @t19 (forall @t11 (=> @t10 (and @t9 @t14 @t18 @t16)))))) % 0.72/0.90 (assume @p7 (forall @t13 (=> @t21 (forall @t11 (=> @t10 (and @t9 @t20 @t14 @t18 @t16)))))) % 0.72/0.90 (assume @p8 (forall @t13 (=> @t22 (and @t12 @t15 @t17 @t19 @t21)))) % 0.72/0.90 (assume @p9 (forall @t13 (=> @t12 (forall @t11 (=> @t25 @t23))))) % 0.72/0.90 (assume @p10 (forall @t13 (=> @t15 (forall @t11 (=> @t25 (and @t23 @t26)))))) % 0.72/0.90 (assume @p11 (forall @t13 (=> @t17 (forall @t11 (=> @t25 (and @t23 @t26 @t27)))))) % 0.72/0.90 (assume @p12 (forall @t13 (=> @t19 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28)))))) % 0.72/0.90 (assume @p13 (forall @t13 (=> @t32 (forall @t11 (=> @t10 (and @t31 @t30 @t29)))))) % 0.72/0.90 (assume @p14 (forall @t13 (=> @t22 @t33))) % 0.72/0.90 (assume @p15 (forall @t13 (=> @t35 @t34))) % 0.72/0.90 (assume @p16 (forall @t13 (=> @t22 @t36))) % 0.72/0.90 (assume @p17 (forall @t13 (=> @t21 @t19))) % 0.72/0.90 (assume @p18 (forall @t13 (=> @t32 @t39))) % 0.72/0.90 (assume @p19 (forall @t13 (=> @t22 @t40))) % 0.72/0.90 (assume @p20 (forall @t45 (=> @t44 @t42))) % 0.72/0.90 (assume @p21 (forall @t13 (=> @t21 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28 (tptp.v5_membered @t2))))))) % 0.72/0.90 (assume @p22 (forall @t13 (=> (and @t22 @t32) @t47))) % 0.72/0.90 (assume @p23 (forall @t13 (=> @t33 (forall @t11 (=> @t25 @t48))))) % 0.72/0.90 (assume @p24 (forall @t13 (=> @t34 @t35))) % 0.72/0.90 (assume @p25 (forall @t13 (=> @t51 @t50))) % 0.72/0.90 (assume @p26 (forall @t13 (=> @t19 @t17))) % 0.72/0.90 (assume @p27 (forall @t13 (=> @t39 @t32))) % 0.72/0.90 (assume @p28 (forall @t13 (=> (tptp.element @t1 tptp.omega) @t47))) % 0.72/0.90 (assume @p29 (forall @t13 (=> @t17 @t15))) % 0.72/0.90 (assume @p30 (forall @t13 (=> @t22 @t52))) % 0.72/0.90 (assume @p31 (forall @t13 (=> @t15 @t12))) % 0.72/0.90 (assume @p32 (forall @t6 (= @t53 (tptp.unordered_pair @t2 @t1)))) % 0.72/0.90 (assume @p33 (forall @t6 (= @t55 @t54))) % 0.72/0.90 (assume @p34 (forall @t45 (=> @t64 (= @t56 (tptp.join_commut @t1 @t41 @t2))))) % 0.72/0.90 (assume @p35 (forall @t6 (= @t66 @t65))) % 0.72/0.90 (assume @p36 (forall @t45 (=> @t70 (= @t67 (tptp.meet_commut @t1 @t41 @t2))))) % 0.72/0.90 (assume @p37 (forall @t45 (=> @t73 (= @t71 (tptp.subset_intersection2 @t1 @t41 @t2))))) % 0.72/0.90 (assume @p38 (forall @t6 (=> @t75 (or @t74 (tptp.ordinal_subset @t2 @t1))))) % 0.72/0.90 (assume @p39 (forall @t6 (=> @t84 (= @t83 (forall @t81 (= @t80 (and @t78 @t77))))))) % 0.72/0.90 (assume @p40 (forall @t6 (= @t87 (and @t86 @t85)))) % 0.72/0.90 (assume @p41 (forall @t13 (=> @t40 (forall @t95 (=> @t42 (= (= @t41 @t94) (forall @t93 (= @t92 (and @t91 @t90))))))))) % 0.72/0.90 (assume @p42 (forall @t13 (=> @t103 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t97) @t96 (= @t76 (tptp.apply @t1 @t88))))))))))) % 0.72/0.90 (assume @p43 (forall @t6 (=> @t84 (forall @t106 (=> @t42 (= (= @t41 @t105) (forall @t93 (= @t92 (and @t104 (tptp.in @t89 @t2)))))))))) % 0.72/0.90 (assume @p44 (forall @t13 (=> @t40 (= @t108 (tptp.is_antisymmetric_in @t1 @t107))))) % 0.72/0.90 (assume @p45 (forall @t13 (=> @t103 (forall @t95 (= @t111 (forall @t100 (= @t99 (and @t110 (tptp.in @t109 @t2))))))))) % 0.72/0.90 (assume @p46 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (forall @t106 (=> @t115 (= (= @t41 @t114) (forall @t100 (=> (tptp.in @t76 @t57) (= @t99 (forall @t98 (=> @t113 (not (and (tptp.open_subset @t88 @t1) (tptp.in @t76 @t88) (tptp.disjoint @t2 @t88)))))))))))))))) % 0.72/0.90 (assume @p47 (forall @t13 (=> @t40 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t118 @t1) @t96))))))))) % 0.72/0.90 (assume @p48 (forall @t13 (=> @t40 (forall @t95 (= @t111 (forall @t100 (= @t99 (exists @t98 (and @t90 @t96))))))))) % 0.72/0.90 (assume @p49 (forall @t13 (=> @t40 (= @t119 (tptp.is_connected_in @t1 @t107))))) % 0.72/0.90 (assume @p50 (forall @t13 (=> @t40 (= @t120 (tptp.is_transitive_in @t1 @t107))))) % 0.72/0.90 (assume @p51 (forall @t122 (= (= @t76 (tptp.unordered_triple @t1 @t2 @t41)) (forall @t98 (= @t121 (not (and (not (= @t88 @t1)) (not (= @t88 @t2)) (not (= @t88 @t41))))))))) % 0.72/0.90 (assume @p52 (forall @t13 (= @t33 (exists @t11 (and @t84 @t125 (= @t124 @t1) (tptp.in @t123 tptp.omega)))))) % 0.72/0.90 (assume @p53 (forall @t13 (= @t36 (forall @t129 (=> (and @t128 @t126) @t77))))) % 0.72/0.90 (assume @p54 (forall @t45 (=> @t135 (and (=> (=> @t133 @t132) (= @t131 (= @t1 @t134))) (=> @t133 (or @t132 (= @t131 @t130))))))) % 0.72/0.90 (assume @p55 (forall @t13 (=> @t138 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t137 (tptp.apply_binary_as_element @t57 @t57 @t57 @t136 @t2 @t41))))))))) % 0.72/0.90 (assume @p56 (forall @t13 (=> @t141 (forall @t11 (= (= @t2 (tptp.pair_first @t1)) (forall @t81 (=> @t140 @t139))))))) % 0.72/0.90 (assume @p57 (forall @t13 (= @t143 (tptp.set_union2 @t1 @t142)))) % 0.72/0.90 (assume @p58 (forall @t13 (=> @t117 (= @t149 (and (tptp.in @t57 @t144) (forall @t11 (=> @t148 (=> (tptp.subset @t2 @t144) (tptp.in @t146 @t144)))) (forall @t11 (=> @t116 (forall @t106 (=> @t115 (=> (and @t145 (tptp.in @t41 @t144)) (tptp.in (tptp.subset_intersection2 @t57 @t2 @t41) @t144))))))))))) % 0.72/0.90 (assume @p59 (forall @t13 (= @t40 (forall @t11 (not (and @t3 (forall @t81 (not (= @t2 @t79))))))))) % 0.72/0.90 (assume @p60 (forall @t13 (=> @t40 (forall @t11 (= @t151 (forall @t106 (=> @t150 (tptp.in (tptp.ordered_pair @t41 @t41) @t1)))))))) % 0.72/0.90 (assume @p61 (forall @t45 (= @t152 (tptp.subset @t41 @t43)))) % 0.72/0.90 (assume @p62 (forall @t6 (and (=> @t156 (= @t153 (forall @t106 (= @t150 (forall @t100 (=> @t155 @t154)))))) (=> @t132 (= @t153 @t133))))) % 0.72/0.90 (assume @p63 (forall @t13 (=> @t158 (= @t62 @t157)))) % 0.72/0.90 (assume @p64 (forall @t6 (= (= @t2 @t142) (forall @t106 (= @t150 (= @t41 @t1)))))) % 0.72/0.90 (assume @p65 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t160 (tptp.subset_complement @t57 (tptp.topstr_closure @t1 @t159)))))))) % 0.72/0.90 (assume @p66 (forall @t13 (=> @t117 (forall @t11 (=> @t148 (= @t162 (forall @t106 (=> @t115 (=> @t150 @t161))))))))) % 0.72/0.90 (assume @p67 (forall @t13 (=> @t40 (forall @t95 (= (= @t41 (tptp.fiber @t1 @t2)) (forall @t100 (= @t99 (and (not @t163) (tptp.in (tptp.ordered_pair @t76 @t2) @t1))))))))) % 0.72/0.90 (assume @p68 (forall @t6 (=> @t84 (= (= @t2 @t166) (and (= @t165 @t1) (forall @t81 (=> (and @t78 @t155) (= @t80 @t164)))))))) % 0.72/0.90 (assume @p69 (forall @t13 (= @t132 (forall @t11 @t4)))) % 0.72/0.90 (assume @p70 (forall @t6 (= (= @t2 @t24) (forall @t106 (= @t150 (tptp.subset @t41 @t1)))))) % 0.72/0.90 (assume @p71 (forall @t13 (=> (and @t63 @t68) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t168 (tptp.apply_binary_as_element @t57 @t57 @t57 @t167 @t2 @t41))))))))) % 0.72/0.90 (assume @p72 (forall @t13 (=> @t141 (forall @t11 (= (= @t2 (tptp.pair_second @t1)) (forall @t81 (=> @t140 @t169))))))) % 0.72/0.90 (assume @p73 (forall @t13 (= @t38 (forall @t11 (=> @t3 @t85))))) % 0.72/0.90 (assume @p74 (forall @t13 (=> @t158 (= @t170 tptp.empty_set)))) % 0.72/0.90 (assume @p75 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t87 (forall @t81 (= @t171 @t80)))))))) % 0.72/0.90 (assume @p76 (forall @t6 (and (=> @t173 (= @t10 @t3)) (=> @t22 (= @t10 @t172))))) % 0.72/0.90 (assume @p77 (forall @t45 (= (= @t41 @t53) (forall @t100 (= @t99 (or (= @t76 @t1) @t163)))))) % 0.72/0.90 (assume @p78 (forall @t13 (=> @t117 (forall @t11 (=> @t148 (= @t175 @t174)))))) % 0.72/0.90 (assume @p79 (forall @t13 (=> @t40 (= @t177 (forall @t11 (not (and (tptp.subset @t2 @t107) @t176 (forall @t106 (not (and @t150 (tptp.disjoint (tptp.fiber @t1 @t41) @t2))))))))))) % 0.72/0.90 (assume @p80 (forall @t45 (= (= @t41 @t55) (forall @t100 (= @t99 (or @t155 @t91)))))) % 0.72/0.90 (assume @p81 (forall @t45 (= (= @t41 @t43) (forall @t100 (= @t99 (exists @t181 (and @t104 @t180 (= @t76 @t179)))))))) % 0.72/0.90 (assume @p82 (forall @t13 (=> @t138 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t182 (= @t137 @t41))))))))) % 0.72/0.90 (assume @p83 (forall @t13 (= @t37 (forall @t95 (not (and @t3 @t78 (not @t185) @t184 @t183)))))) % 0.72/0.90 (assume @p84 (forall @t13 (=> @t158 (= @t186 @t57)))) % 0.72/0.90 (assume @p85 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t86 (forall @t81 (=> @t171 @t80)))))))) % 0.72/0.90 (assume @p86 (forall @t6 (= @t86 @t187))) % 0.72/0.90 (assume @p87 (forall @t13 (=> @t40 (forall @t11 (= @t190 (forall @t106 (not (and @t189 @t188 (forall @t100 (not (and @t99 (tptp.disjoint (tptp.fiber @t1 @t76) @t41)))))))))))) % 0.72/0.90 (assume @p88 (forall @t45 (= (= @t41 @t66) (forall @t100 (= @t99 (and @t155 @t91)))))) % 0.72/0.90 (assume @p89 (forall @t13 (=> @t103 (forall @t95 (and (=> @t193 (= @t192 @t128)) (=> (not @t193) (= @t192 @t130))))))) % 0.72/0.90 (assume @p90 (forall @t13 (= @t32 @t39))) % 0.72/0.90 (assume @p91 (forall @t13 (=> @t40 (forall @t11 (= (= @t2 @t97) (forall @t106 (= @t150 (exists @t100 @t171)))))))) % 0.72/0.90 (assume @p92 (forall @t13 (=> @t40 (forall @t11 (= @t195 (forall @t81 (=> (and @t150 @t91 @t171 @t194) @t77))))))) % 0.72/0.90 (assume @p93 (forall @t13 (= @t196 @t1))) % 0.72/0.90 (assume @p94 (forall @t6 (= (= @t2 @t197) (forall @t106 (= @t150 (exists @t100 (and @t154 @t155))))))) % 0.72/0.90 (assume @p95 (forall @t13 (=> @t40 (= @t199 (and @t198 @t120 @t108 @t119 @t177))))) % 0.72/0.90 (assume @p96 (forall @t6 (= @t205 (exists @t106 (and @t42 @t204 @t203 @t202 (= @t200 @t2)))))) % 0.72/0.90 (assume @p97 (forall @t45 (= (= @t41 @t206) (forall @t100 (= @t99 (and @t155 (not @t91))))))) % 0.72/0.90 (assume @p98 (forall @t13 (=> @t103 (forall @t11 (= @t209 (forall @t106 (= @t150 (exists @t100 @t207)))))))) % 0.72/0.90 (assume @p99 (forall @t13 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t210 @t32 (forall @t11 (=> @t29 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t86))))))) % 0.72/0.90 (assume @p100 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t211 @t145)))))) % 0.72/0.90 (assume @p101 (forall @t13 (=> @t40 (forall @t11 (= @t209 (forall @t106 (= @t150 (exists @t100 @t194)))))))) % 0.72/0.90 (assume @p102 (forall @t6 (=> @t25 (= @t212 @t206)))) % 0.72/0.90 (assume @p103 (forall @t6 (= @t213 (tptp.unordered_pair @t53 @t142)))) % 0.72/0.90 (assume @p104 (forall @t13 (=> @t40 (forall @t11 (= (tptp.well_orders @t1 @t2) (and @t151 @t215 @t195 @t214 @t190)))))) % 0.72/0.90 (assume @p105 (forall @t13 (= @t210 (= @t1 @t197)))) % 0.72/0.90 (assume @p106 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t217 (tptp.open_subset @t216 @t1))))))) % 0.72/0.90 (assume @p107 (forall @t13 (=> @t40 (= @t107 (tptp.set_union2 @t97 @t208))))) % 0.72/0.90 (assume @p108 (forall @t13 (=> @t40 (forall @t11 (= @t214 (forall @t81 (not (and @t150 @t91 (not @t77) (not @t171) (not @t194))))))))) % 0.72/0.90 (assume @p109 (forall @t13 (=> @t40 (forall @t11 (= @t219 (tptp.set_intersection2 @t1 @t218)))))) % 0.72/0.90 (assume @p110 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= (= @t2 @t220) (forall @t81 (= @t80 @t194)))))))) % 0.72/0.90 (assume @p111 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t224 (= @t223 (and (= @t201 @t107) (= @t200 @t165) @t203 (forall @t93 (= @t90 (and (tptp.in @t76 @t107) (tptp.in @t88 @t107) (tptp.in (tptp.ordered_pair @t222 @t221) @t2))))))))))))) % 0.72/0.90 (assume @p112 (forall @t6 (= @t225 (= @t66 tptp.empty_set)))) % 0.72/0.90 (assume @p113 (forall @t13 (=> @t103 (= @t49 (forall @t95 (=> (and @t193 (tptp.in @t41 @t97) (= @t191 (tptp.apply @t1 @t41))) @t139)))))) % 0.72/0.90 (assume @p114 (forall @t13 (=> (and @t63 @t227) (= @t226 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= (tptp.join @t1 @t168 @t41) @t41))))))))) % 0.72/0.90 (assume @p115 (forall @t13 (=> @t158 (forall @t11 (=> @t148 (= @t228 (= @t186 @t146))))))) % 0.72/0.90 (assume @p116 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t42 (= (= @t41 @t230) (forall @t93 (= @t92 (exists @t229 (and (tptp.in (tptp.ordered_pair @t76 @t178) @t1) (tptp.in (tptp.ordered_pair @t178 @t88) @t2))))))))))))) % 0.72/0.90 (assume @p117 (forall @t13 (=> @t40 (forall @t11 (= @t215 (forall @t231 (=> (and @t150 @t91 @t96 @t171 @t90) (tptp.in (tptp.ordered_pair @t41 @t88) @t1)))))))) % 0.72/0.90 (assume @p118 (forall @t6 (=> @t234 (forall @t106 (=> (tptp.element @t41 @t233) (= (= @t41 @t232) (forall @t100 (=> (tptp.element @t76 @t24) (= @t99 (tptp.in (tptp.subset_complement @t1 @t76) @t2)))))))))) % 0.72/0.90 (assume @p119 (forall @t6 (= @t8 (and @t86 @t235)))) % 0.72/0.90 (assume @p120 (forall @t13 (=> @t103 (=> @t49 (= @t236 @t220))))) % 0.72/0.90 (assume @p121 (forall @t13 (=> @t40 (= @t198 (tptp.is_reflexive_in @t1 @t107))))) % 0.72/0.90 (assume @p122 true) % 0.72/0.90 (assume @p123 (forall @t45 (=> (and @t63 @t60 @t59 @t58) (tptp.element @t137 @t57)))) % 0.72/0.90 (assume @p124 (forall @t13 (=> @t158 (tptp.element @t170 @t112)))) % 0.72/0.90 (assume @p125 (forall @t6 (=> @t237 (tptp.element @t160 @t112)))) % 0.72/0.90 (assume @p126 (forall @t13 (tptp.relation @t166))) % 0.72/0.90 (assume @p127 (forall @t242 (=> @t241 (tptp.element @t238 @t41)))) % 0.72/0.90 (assume @p128 (forall @t13 (=> @t103 (and (tptp.relation @t236) (tptp.function @t236))))) % 0.72/0.90 (assume @p129 (forall @t45 (=> (and @t63 @t68 @t59 @t58) (tptp.element @t168 @t57)))) % 0.72/0.90 (assume @p130 (forall @t13 (=> @t158 (tptp.element @t186 @t112)))) % 0.72/0.90 (assume @p131 (forall @t13 (tptp.element @t196 @t24))) % 0.72/0.90 (assume @p132 (forall @t6 (=> @t40 (tptp.relation @t219)))) % 0.72/0.90 (assume @p133 (forall @t45 (=> @t64 (tptp.element @t56 @t57)))) % 0.72/0.90 (assume @p134 (forall @t6 (=> @t25 (tptp.element @t212 @t24)))) % 0.72/0.90 (assume @p135 (forall @t45 (=> @t70 (tptp.element @t67 @t57)))) % 0.72/0.90 (assume @p136 (forall @t13 (=> @t40 @t243))) % 0.72/0.90 (assume @p137 (forall @t45 (=> @t152 (tptp.element @t134 @t24)))) % 0.72/0.90 (assume @p138 (forall @t6 (=> @t245 @t244))) % 0.72/0.90 (assume @p139 (forall @t45 (=> @t152 (tptp.element @t247 @t246)))) % 0.72/0.90 (assume @p140 (forall @t6 (=> @t234 (tptp.element @t248 @t24)))) % 0.72/0.90 (assume @p141 (forall @t45 (=> @t73 (tptp.element @t71 @t24)))) % 0.72/0.90 (assume @p142 (forall @t6 (=> @t237 (tptp.element @t114 @t112)))) % 0.72/0.90 (assume @p143 (forall @t13 @t249)) % 0.72/0.90 (assume @p144 (forall @t6 (=> @t234 (tptp.element @t250 @t24)))) % 0.72/0.90 (assume @p145 (forall @t45 (=> @t73 (tptp.element @t251 @t24)))) % 0.72/0.90 (assume @p146 (forall @t6 (=> @t40 @t252))) % 0.72/0.90 (assume @p147 @t254) % 0.72/0.90 (assume @p148 (forall @t6 (=> @t84 @t255))) % 0.72/0.90 (assume @p149 (forall @t13 (=> @t68 @t158))) % 0.72/0.90 (assume @p150 (forall @t13 (=> @t117 @t158))) % 0.72/0.90 (assume @p151 (forall @t13 (=> @t60 @t158))) % 0.72/0.90 (assume @p152 (forall @t13 (=> @t227 (and @t68 @t60)))) % 0.72/0.90 (assume @p153 (forall @t45 (=> @t135 @t44))) % 0.72/0.90 (assume @p154 (forall @t13 (=> @t68 (and (tptp.function @t167) (tptp.quasi_total @t167 @t256 @t57) (tptp.relation_of2_as_subset @t167 @t256 @t57))))) % 0.72/0.90 (assume @p155 (forall @t13 (=> @t117 (tptp.element @t144 @t147)))) % 0.72/0.90 (assume @p156 (forall @t13 (=> @t60 (and (tptp.function @t136) (tptp.quasi_total @t136 @t256 @t57) (tptp.relation_of2_as_subset @t136 @t256 @t57))))) % 0.72/0.90 (assume @p157 (exists @t13 @t68)) % 0.72/0.90 (assume @p158 (exists @t13 @t117)) % 0.72/0.90 (assume @p159 (exists @t13 @t158)) % 0.72/0.90 (assume @p160 (exists @t13 @t60)) % 0.72/0.90 (assume @p161 (exists @t13 @t227)) % 0.72/0.90 (assume @p162 (forall @t6 (exists @t106 @t152))) % 0.72/0.90 (assume @p163 (forall @t13 (exists @t11 @t10))) % 0.72/0.90 (assume @p164 (forall @t6 (exists @t106 @t135))) % 0.72/0.90 (assume @p165 (forall @t6 (=> @t48 @t257))) % 0.72/0.90 (assume @p166 (forall @t6 (=> @t259 (and (tptp.empty @t258) (tptp.relation @t258))))) % 0.72/0.90 (assume @p167 (forall @t6 (=> @t33 @t257))) % 0.72/0.90 (assume @p168 (forall @t13 (=> @t22 (and (tptp.empty @t220) @t243)))) % 0.72/0.90 (assume @p169 (forall @t6 (=> @t33 (tptp.finite @t206)))) % 0.72/0.90 (assume @p170 (and @t262 @t261 @t260)) % 0.72/0.90 (assume @p171 (forall @t6 (=> (and @t40 @t36 @t48) (tptp.finite @t101)))) % 0.72/0.90 (assume @p172 (forall @t6 (=> @t264 (and @t252 (tptp.relation_empty_yielding @t94))))) % 0.72/0.90 (assume @p173 (forall @t13 (and @t265 (tptp.finite @t142)))) % 0.72/0.90 (assume @p174 (forall @t13 (and @t266 (tptp.cup_closed @t24) (tptp.diff_closed @t24) (tptp.preboolean @t24)))) % 0.72/0.90 (assume @p175 (forall @t6 (=> (and @t40 @t36 @t84 @t125) (and @t244 (tptp.function @t230))))) % 0.72/0.90 (assume @p176 (forall @t13 @t267)) % 0.72/0.90 (assume @p177 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 0.72/0.90 (assume @p178 (forall @t13 (=> @t158 (and (tptp.empty @t170) (tptp.v1_membered @t170) (tptp.v2_membered @t170) (tptp.v3_membered @t170) (tptp.v4_membered @t170) (tptp.v5_membered @t170))))) % 0.72/0.90 (assume @p179 (forall @t6 (=> @t245 (tptp.relation @t66)))) % 0.72/0.90 (assume @p180 (forall @t13 (=> @t268 (not @t157)))) % 0.72/0.90 (assume @p181 (forall @t13 @t266)) % 0.72/0.90 (assume @p182 @t262) % 0.72/0.90 (assume @p183 (forall @t6 (not (tptp.empty @t213)))) % 0.72/0.90 (assume @p184 (forall @t6 (=> @t12 @t269))) % 0.72/0.90 (assume @p185 (forall @t6 (=> @t12 @t270))) % 0.72/0.90 (assume @p186 (forall @t6 (=> @t15 (and @t269 @t271)))) % 0.72/0.90 (assume @p187 (forall @t13 (=> (and @t32 @t46) (and @t267 @t274 @t273 @t272 (tptp.natural @t143))))) % 0.72/0.90 (assume @p188 (forall @t13 (and @t249 (tptp.function @t82)))) % 0.72/0.90 (assume @p189 (and @t261 @t260 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t262 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.72/0.90 (assume @p190 (forall @t13 (=> @t268 (not (tptp.empty @t186))))) % 0.72/0.90 (assume @p191 (forall @t6 (=> @t245 (tptp.relation @t55)))) % 0.72/0.90 (assume @p192 (forall @t13 @t265)) % 0.72/0.90 (assume @p193 (forall @t6 (=> @t275 (tptp.closed_subset @t114 @t1)))) % 0.72/0.90 (assume @p194 (forall @t6 (=> @t173 (not (tptp.empty @t55))))) % 0.72/0.90 (assume @p195 (forall @t6 (=> @t15 (and @t270 @t276)))) % 0.72/0.90 (assume @p196 (forall @t6 (=> @t17 (and @t269 @t271 @t277)))) % 0.72/0.90 (assume @p197 (forall @t6 (=> @t17 (and @t270 @t276 @t278)))) % 0.72/0.90 (assume @p198 (forall @t6 (=> @t19 (and @t269 @t271 @t277 @t279)))) % 0.72/0.90 (assume @p199 (forall @t6 (=> @t19 (and @t270 @t276 @t278 @t280)))) % 0.72/0.90 (assume @p200 (forall @t6 (=> @t21 (and @t269 @t271 @t277 @t279 (tptp.v5_membered @t66))))) % 0.72/0.90 (assume @p201 (forall @t6 (=> @t21 (and @t270 @t276 @t278 @t280 (tptp.v5_membered @t65))))) % 0.72/0.90 (assume @p202 (forall @t6 (=> @t12 @t281))) % 0.72/0.90 (assume @p203 (forall @t6 (=> @t15 (and @t281 @t282)))) % 0.72/0.90 (assume @p204 (forall @t6 (=> @t17 (and @t281 @t282 @t283)))) % 0.72/0.90 (assume @p205 (forall @t13 (=> @t50 (and @t243 (tptp.function @t220))))) % 0.72/0.90 (assume @p206 (forall @t13 (=> @t32 (and @t267 @t274 @t273 @t272)))) % 0.72/0.90 (assume @p207 (forall @t6 (=> @t245 (tptp.relation @t206)))) % 0.72/0.90 (assume @p208 (forall @t6 (not (tptp.empty @t53)))) % 0.72/0.90 (assume @p209 (forall @t6 (=> (and @t149 @t117 @t217 @t116) @t284))) % 0.72/0.90 (assume @p210 (forall @t6 (=> @t173 (not (tptp.empty @t54))))) % 0.72/0.90 (assume @p211 (forall @t6 (=> @t19 (and @t281 @t282 @t283 @t285)))) % 0.72/0.90 (assume @p212 (forall @t6 (=> @t21 (and @t281 @t282 @t283 @t285 (tptp.v5_membered @t206))))) % 0.72/0.90 (assume @p213 (forall @t6 (=> @t103 (and @t252 (tptp.function @t94))))) % 0.72/0.90 (assume @p214 (forall @t13 (=> @t32 (and (tptp.epsilon_transitive @t197) (tptp.epsilon_connected @t197) (tptp.ordinal @t197))))) % 0.72/0.90 (assume @p215 (and @t262 @t261)) % 0.72/0.90 (assume @p216 (forall @t6 (=> (and @t173 @t240) (not (tptp.empty @t43))))) % 0.72/0.90 (assume @p217 (forall @t6 (=> (and @t149 @t117 @t211 @t116) @t286))) % 0.72/0.90 (assume @p218 (forall @t6 (=> @t287 (and @t255 (tptp.function @t105))))) % 0.72/0.90 (assume @p219 (forall @t13 (=> @t288 (tptp.closed_subset @t186 @t1)))) % 0.72/0.90 (assume @p220 (forall @t13 (=> @t290 (not @t289)))) % 0.72/0.90 (assume @p221 (and @t262 (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))) % 0.72/0.90 (assume @p222 (forall @t13 (=> @t290 (not @t291)))) % 0.72/0.90 (assume @p223 (forall @t6 (=> @t275 @t292))) % 0.72/0.90 (assume @p224 (forall @t13 (=> @t22 (and @t289 (tptp.relation @t97))))) % 0.72/0.90 (assume @p225 (forall @t13 (=> @t22 (and @t291 (tptp.relation @t208))))) % 0.72/0.90 (assume @p226 (forall @t6 (=> (and @t33 @t48) (tptp.finite @t55)))) % 0.72/0.90 (assume @p227 (forall @t6 (=> @t259 (and (tptp.empty @t230) @t244)))) % 0.72/0.90 (assume @p228 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.72/0.90 (assume @p229 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.72/0.90 (assume @p230 (forall @t45 (=> @t73 (= (tptp.subset_intersection2 @t1 @t2 @t2) @t2)))) % 0.72/0.90 (assume @p231 (forall @t6 (=> @t25 (= (tptp.subset_complement @t1 @t212) @t2)))) % 0.72/0.90 (assume @p232 (forall @t13 (=> @t40 (= (tptp.relation_inverse @t220) @t1)))) % 0.72/0.90 (assume @p233 @t295) % 0.72/0.90 (assume @p234 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.72/0.90 (assume @p235 (forall @t13 (=> @t40 (= @t198 (forall @t11 (=> @t296 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 0.72/0.90 (assume @p236 (forall @t13 (not (= @t142 tptp.empty_set)))) % 0.72/0.90 (assume @p237 (forall @t6 (=> @t5 (= (tptp.set_union2 @t142 @t2) @t2)))) % 0.72/0.90 (assume @p238 (forall @t6 (not (and @t297 @t5)))) % 0.72/0.90 (assume @p239 (forall @t6 (=> @t298 @t297))) % 0.72/0.90 (assume @p240 (forall @t6 (=> @t84 (tptp.subset (tptp.relation_dom @t105) @t123)))) % 0.72/0.90 (assume @p241 (forall @t13 (=> @t40 (= @t120 (forall @t129 (=> (and @t128 @t171) @t126)))))) % 0.72/0.90 (assume @p242 (forall @t6 (= (tptp.subset @t142 @t2) @t5))) % 0.72/0.90 (assume @p243 (forall @t6 (=> @t84 (not (and @t299 (tptp.equipotent @t1 @t165) (forall @t106 (=> @t42 (not (tptp.well_orders @t41 @t1))))))))) % 0.72/0.90 (assume @p244 (forall @t6 (= (= @t206 tptp.empty_set) @t86))) % 0.72/0.90 (assume @p245 (forall @t6 (=> @t25 (forall @t106 (=> @t150 @t78))))) % 0.72/0.90 (assume @p246 (forall @t13 (=> @t40 (= @t108 (forall @t95 (=> (and @t128 @t300) @t139)))))) % 0.72/0.90 (assume @p247 (forall @t45 (=> @t86 (or @t78 (tptp.subset @t1 (tptp.set_difference @t2 @t301)))))) % 0.72/0.90 (assume @p248 (forall @t13 (=> @t268 (forall @t11 (=> @t116 (forall @t106 (=> @t58 (= (tptp.in @t41 @t159) @t183)))))))) % 0.72/0.90 (assume @p249 (forall @t13 (=> @t40 (= @t119 (forall @t95 (not (and @t296 (tptp.in @t41 @t107) @t184 @t302 (not @t300)))))))) % 0.72/0.90 (assume @p250 (forall @t6 (= (tptp.subset @t1 @t303) (or @t132 (= @t1 @t303))))) % 0.72/0.90 (assume @p251 (forall @t6 (=> @t5 (tptp.subset @t1 @t304)))) % 0.72/0.90 (assume @p252 (forall @t122 (= (tptp.in @t213 (tptp.cartesian_product2 @t41 @t76)) (and @t305 (tptp.in @t2 @t76))))) % 0.72/0.90 (assume @p253 (forall @t6 (=> @t187 @t306))) % 0.72/0.90 (assume @p254 (forall @t45 (=> @t224 (= @t308 (and (tptp.in @t2 @t201) @t3))))) % 0.72/0.90 (assume @p255 (exists @t13 (and @t173 @t38 @t37 @t32 @t46))) % 0.72/0.90 (assume @p256 (exists @t13 (and @t173 @t33))) % 0.72/0.90 (assume @p257 (exists @t13 @t103)) % 0.72/0.90 (assume @p258 (forall @t6 (exists @t106 (and @t152 @t42 @t204 @t131)))) % 0.72/0.90 (assume @p259 (exists @t13 (and @t173 @t12 @t15 @t17 @t19 @t21))) % 0.72/0.90 (assume @p260 (exists @t13 @t52)) % 0.72/0.90 (assume @p261 (exists @t13 (and @t38 @t37 @t32 @t210))) % 0.72/0.90 (assume @p262 (exists @t13 (and @t40 @t36 @t49 @t22))) % 0.72/0.90 (assume @p263 (exists @t13 (and @t22 @t40))) % 0.72/0.90 (assume @p264 (forall @t13 (=> @t173 (exists @t11 (and @t25 @t240))))) % 0.72/0.90 (assume @p265 (forall @t13 (=> @t288 (exists @t11 (and @t116 @t211))))) % 0.72/0.90 (assume @p266 (exists @t13 @t22)) % 0.72/0.90 (assume @p267 (forall @t13 (exists @t11 (and @t25 @t172 @t84 @t125 @t309 @t31 @t30 @t29 @t20 @t48)))) % 0.72/0.90 (assume @p268 (exists @t13 @t51)) % 0.72/0.90 (assume @p269 (exists @t13 (and @t40 @t36 @t49 @t22 @t38 @t37 @t32))) % 0.72/0.90 (assume @p270 (forall @t6 (exists @t106 (and @t152 @t42 @t204)))) % 0.72/0.90 (assume @p271 (exists @t13 @t290)) % 0.72/0.90 (assume @p272 (forall @t13 (exists @t11 (and @t25 @t172)))) % 0.72/0.90 (assume @p273 (forall @t13 (=> @t288 (exists @t11 (and @t116 @t211 @t217))))) % 0.72/0.90 (assume @p274 (exists @t13 @t173)) % 0.72/0.90 (assume @p275 (forall @t13 (=> @t173 (exists @t11 (and @t25 @t240 @t48))))) % 0.72/0.90 (assume @p276 (exists @t13 @t50)) % 0.72/0.90 (assume @p277 (exists @t13 (and @t173 @t38 @t37 @t32))) % 0.72/0.90 (assume @p278 (exists @t13 @t264)) % 0.72/0.90 (assume @p279 (exists @t13 (and @t158 @t63))) % 0.72/0.90 (assume @p280 (exists @t13 (and @t40 @t263 @t36))) % 0.72/0.90 (assume @p281 (forall @t13 (=> @t268 (exists @t11 (and @t116 @t240))))) % 0.72/0.90 (assume @p282 (forall @t13 (=> @t288 (exists @t11 (and @t116 @t217))))) % 0.72/0.90 (assume @p283 (forall @t242 (=> @t241 (= @t238 (tptp.apply_binary @t76 @t88 @t178))))) % 0.72/0.90 (assume @p284 (forall @t45 (=> @t64 (= @t56 @t137)))) % 0.72/0.90 (assume @p285 (forall @t45 (=> @t70 (= @t67 @t168)))) % 0.72/0.90 (assume @p286 (forall @t45 (=> @t152 (= @t134 @t201)))) % 0.72/0.90 (assume @p287 (forall @t45 (=> @t152 (= @t247 @t200)))) % 0.72/0.90 (assume @p288 (forall @t6 (=> @t234 (= @t248 @t304)))) % 0.72/0.90 (assume @p289 (forall @t45 (=> @t73 (= @t71 @t310)))) % 0.72/0.90 (assume @p290 (forall @t6 (=> @t234 (= @t250 (tptp.set_meet @t2))))) % 0.72/0.90 (assume @p291 (forall @t45 (=> @t73 (= @t251 @t311)))) % 0.72/0.90 (assume @p292 (forall @t45 (= @t135 @t152))) % 0.72/0.90 (assume @p293 (forall @t6 (=> @t75 (= @t74 @t86)))) % 0.72/0.90 (assume @p294 (forall @t6 (= @t205 (tptp.are_equipotent @t1 @t2)))) % 0.72/0.90 (assume @p295 (forall @t6 (=> @t75 (tptp.ordinal_subset @t1 @t1)))) % 0.72/0.90 (assume @p296 (forall @t6 (tptp.subset @t1 @t1))) % 0.72/0.90 (assume @p297 (forall @t6 (tptp.equipotent @t1 @t1))) % 0.72/0.90 (assume @p298 (forall @t6 (=> @t329 (=> @t328 (exists @t106 (and @t42 @t204 (forall @t93 (= @t92 (and @t155 @t155 (exists @t316 (and (= @t76 @t313) (tptp.in @t88 @t313) (forall @t315 (=> @t314 (tptp.in (tptp.ordered_pair @t88 @t312) @t2)))))))))))))) % 0.72/0.90 (assume @p299 (forall @t13 (=> @t332 (exists @t11 (and @t84 @t125 (forall @t81 (= @t80 (and @t78 @t78 (= @t76 @t301))))))))) % 0.72/0.90 (assume @p300 (forall @t6 (=> @t345 (=> @t344 (exists @t106 (and @t42 @t204 (forall @t93 (= @t92 (and @t338 @t338 @t336))))))))) % 0.72/0.90 (assume @p301 (forall @t6 (=> @t345 (=> @t346 (exists @t106 (and @t42 @t204 (forall @t93 (= @t92 (and @t91 @t91 @t336))))))))) % 0.72/0.90 (assume @p302 (forall @t13 (=> (exists @t11 (and @t29 @t3)) (exists @t11 (and @t29 @t3 (forall @t106 (=> @t347 (=> @t78 (tptp.ordinal_subset @t2 @t41))))))))) % 0.72/0.90 (assume @p303 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t13 (=> (tptp.element @t1 (tptp.powerset @t371)) (not (and @t156 (forall @t11 (not (and @t3 (forall @t106 (=> (and @t78 @t370) (= @t41 @t2))))))))))) (forall @t100 (=> @t354 (=> @t369 (=> (tptp.in @t368 tptp.omega) (forall @t322 (=> (tptp.element @t319 (tptp.powerset (tptp.powerset @t368))) (not (and (not (= @t319 tptp.empty_set)) (forall @t321 (not (and @t320 (forall @t316 (=> (and (tptp.in @t313 @t319) (tptp.subset @t318 @t313)) (= @t313 @t318)))))))))))))) (forall @t100 (=> @t354 (=> (and (tptp.being_limit_ordinal @t76) (forall @t315 (=> (tptp.ordinal @t312) (=> (tptp.in @t312 @t76) (=> (tptp.in @t312 tptp.omega) (forall @t367 (=> (tptp.element @t363 (tptp.powerset (tptp.powerset @t312))) (not (and (not (= @t363 tptp.empty_set)) (forall @t366 (not (and @t365 (forall @t364 (=> (and (tptp.in @t362 @t363) (tptp.subset @t361 @t362)) (= @t362 @t361))))))))))))))) (or (= @t76 tptp.empty_set) (=> @t353 (forall @t360 (=> (tptp.element @t357 @t351) (not (and (not (= @t357 tptp.empty_set)) (forall @t359 (not (and (tptp.in @t355 @t357) (forall @t358 (=> (and (tptp.in @t356 @t357) (tptp.subset @t355 @t356)) (= @t356 @t355)))))))))))))))) (forall @t100 (=> @t354 (=> @t353 (forall @t352 (=> (tptp.element @t350 @t351) (not (and (not (= @t350 tptp.empty_set)) (forall (@list @t348) (not (and (tptp.in @t348 @t350) (forall (@list @t349) (=> (and (tptp.in @t349 @t350) (tptp.subset @t348 @t349)) (= @t349 @t348))))))))))))))) % 0.72/0.90 (assume @p304 (forall @t45 (=> @t375 (exists @t100 (and @t374 (forall @t181 (= (tptp.in @t179 @t76) (and @t104 @t373 (tptp.in (tptp.ordered_pair @t221 @t372) @t2))))))))) % 0.72/0.90 (assume @p305 (forall @t6 (=> @t329 (=> @t328 (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t104 @t104 (exists @t316 (and (= @t88 @t313) @t377 @t376))))))))))) % 0.72/0.90 (assume @p306 (forall @t6 (=> @t329 (forall @t106 (=> (forall @t389 (=> (and @t317 (exists @t388 (and @t387 @t385 (exists @t321 (and (= @t324 @t318) (tptp.in @t319 @t318) (forall @t316 (=> @t384 (tptp.in (tptp.ordered_pair @t319 @t313) @t2))))))) @t383 (exists @t382 (and (= @t381 @t178) (tptp.in @t312 @t1) (exists @t366 (and (= @t312 @t361) (tptp.in @t363 @t361) (forall @t364 (=> (tptp.in @t362 @t361) (tptp.in (tptp.ordered_pair @t363 @t362) @t2)))))))) @t380)) (exists @t100 (forall @t98 (= @t121 (exists @t229 (and (tptp.in @t178 @t379) @t378 (exists (@list @t357 @t355) (and (= (tptp.ordered_pair @t357 @t355) @t88) (tptp.in @t357 @t1) (exists @t358 (and (= @t357 @t356) (tptp.in @t355 @t356) (forall @t352 (=> (tptp.in @t350 @t356) (tptp.in (tptp.ordered_pair @t355 @t350) @t2))))))))))))))))) % 0.72/0.90 (assume @p307 (forall @t13 (=> @t332 (exists @t11 (forall @t106 (= @t150 (exists @t100 (and @t155 @t155 (= @t41 (tptp.singleton @t76)))))))))) % 0.72/0.90 (assume @p308 (forall @t6 (=> (forall @t231 (=> (and @t77 (exists @t396 (and (= @t395 @t76) @t373 (= @t324 (tptp.singleton @t178)))) @t394 (exists (@list @t319 @t318) (and (= (tptp.ordered_pair @t319 @t318) @t88) @t393 (= @t318 (tptp.singleton @t319))))) @t317)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t43) @t392 (exists @t391 (and (= @t390 @t76) (tptp.in @t313 @t1) (= @t312 (tptp.singleton @t313)))))))))))) % 0.72/0.90 (assume @p309 (forall @t13 (=> @t32 (=> (forall @t129 (=> (and @t139 (exists @t98 (and @t399 @t394 (=> (tptp.in @t88 tptp.omega) (forall @t229 (=> (tptp.element @t178 (tptp.powerset (tptp.powerset @t88))) @t398))))) @t169 (exists @t321 (and (tptp.ordinal @t318) (= @t76 @t318) (=> (tptp.in @t318 tptp.omega) (forall @t316 (=> (tptp.element @t313 (tptp.powerset (tptp.powerset @t318))) (not (and (not (= @t313 tptp.empty_set)) (forall @t315 (not (and @t314 (forall @t367 (=> (and (tptp.in @t363 @t313) (tptp.subset @t312 @t363)) (= @t363 @t312)))))))))))))) @t77)) (exists @t11 (forall @t106 (= @t150 (exists @t100 (and (tptp.in @t76 @t143) @t397 (exists @t366 (and (tptp.ordinal @t361) (= @t41 @t361) (=> (tptp.in @t361 tptp.omega) (forall @t364 (=> (tptp.element @t362 (tptp.powerset (tptp.powerset @t361))) (not (and (not (= @t362 tptp.empty_set)) (forall @t360 (not (and (tptp.in @t357 @t362) (forall @t359 (=> (and (tptp.in @t355 @t362) (tptp.subset @t357 @t355)) (= @t355 @t357)))))))))))))))))))))) % 0.72/0.90 (assume @p310 (forall @t6 (=> @t275 (=> (forall @t231 (=> (and @t77 (exists @t229 (and @t342 (= @t178 @t76) (tptp.closed_subset @t178 @t1) @t400)) @t394 (exists @t326 (and @t339 (= @t324 @t88) (tptp.closed_subset @t324 @t1) (tptp.subset @t2 @t88)))) @t317)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t401 @t392 (exists @t322 (and @t335 @t334 (tptp.closed_subset @t319 @t1) @t400))))))))))) % 0.72/0.90 (assume @p311 (forall @t6 (=> @t403 (=> (forall @t231 (=> (and @t77 @t402 @t394 (tptp.in (tptp.set_difference @t186 @t88) @t2)) @t317)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t401 @t392 @t402))))))))) % 0.72/0.90 (assume @p312 (forall @t6 (=> @t405 (=> (forall @t231 (=> (and @t77 (exists @t229 (and @t180 (= @t76 (tptp.set_difference @t178 @t142)))) @t394 (exists @t326 (and @t404 (= @t88 (tptp.set_difference @t324 @t142))))) @t317)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t24) @t392 (exists @t322 (and (tptp.in @t319 @t2) (= @t76 (tptp.set_difference @t319 @t142))))))))))))) % 0.72/0.90 (assume @p313 (forall @t6 (=> @t345 (=> @t344 (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t408 @t408 @t407))))))))) % 0.72/0.90 (assume @p314 (forall @t6 (=> @t345 (forall @t106 (=> (forall @t389 (=> (and @t317 (exists @t388 (and @t387 (tptp.in @t324 @t337) @t417)) @t383 (exists @t391 (and @t414 (tptp.in @t313 @t337) @t413))) @t380)) (exists @t100 (forall @t98 (= @t121 (exists @t229 (and (tptp.in @t178 @t412) @t378 (exists @t411 (and @t410 (tptp.in @t361 @t337) @t409)))))))))))) % 0.72/0.90 (assume @p315 (forall @t6 (=> @t345 (=> @t346 (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t96 @t96 @t407))))))))) % 0.72/0.90 (assume @p316 (forall @t6 (=> @t345 (forall @t106 (=> (forall @t389 (=> (and @t317 (exists @t388 (and @t387 @t404 @t417)) @t383 (exists @t391 (and @t414 (tptp.in @t313 @t2) @t413))) @t380)) (exists @t100 (forall @t98 (= @t121 (exists @t229 (and (tptp.in @t178 @t418) @t378 (exists @t411 (and @t410 (tptp.in @t361 @t2) @t409)))))))))))) % 0.72/0.90 (assume @p317 (forall @t45 (=> @t375 (=> (forall @t389 (=> (and @t317 (exists @t388 (and (= @t88 @t386) (tptp.in (tptp.ordered_pair @t420 (tptp.apply @t41 @t319)) @t2))) @t383 (exists (@list @t318 @t313) (and (= @t178 (tptp.ordered_pair @t318 @t313)) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t318) (tptp.apply @t41 @t313)) @t2)))) @t380)) (exists @t100 (forall @t98 (= @t121 (exists @t229 (and (tptp.in @t178 @t419) @t378 (exists @t382 (and (= @t88 @t381) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t312) (tptp.apply @t41 @t363)) @t2)))))))))))) % 0.72/0.90 (assume @p318 (forall @t13 (=> (forall @t129 (=> (and @t139 @t347 @t169 @t354) @t77)) (exists @t11 (forall @t106 (= @t150 (exists @t100 (and @t155 @t397 @t347)))))))) % 0.72/0.90 (assume @p319 (forall @t45 (=> @t423 (=> (forall @t389 (=> (and @t317 @t421 @t383 (tptp.in (tptp.relation_image @t41 @t178) @t2)) @t380)) (exists @t100 (forall @t98 (= @t121 (exists @t229 (and (tptp.in @t178 @t422) @t378 @t421))))))))) % 0.72/0.90 (assume @p320 (forall @t6 (=> @t29 (=> (forall @t231 (=> (and @t77 (exists @t229 (and (tptp.ordinal @t178) @t383 @t373)) @t394 (exists @t326 (and (tptp.ordinal @t324) (= @t88 @t324) @t385))) @t317)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t424) @t392 (exists @t322 (and (tptp.ordinal @t319) (= @t76 @t319) @t393))))))))))) % 0.72/0.90 (assume @p321 (forall @t6 (=> @t329 (forall @t106 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t379) (exists @t396 (and @t425 @t373 (exists @t322 (and (= @t178 @t319) (tptp.in @t324 @t319) (forall @t321 (=> @t320 (tptp.in (tptp.ordered_pair @t324 @t318) @t2))))))))))))))) % 0.72/0.90 (assume @p322 (forall @t6 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t43) (exists @t181 (and (= @t179 @t76) @t104 (= @t178 (tptp.singleton @t88)))))))))) % 0.72/0.90 (assume @p323 (forall @t13 (=> @t32 (exists @t11 (forall @t106 (= @t150 (and (tptp.in @t41 @t143) (exists @t100 (and @t354 @t77 @t369))))))))) % 0.72/0.90 (assume @p324 (forall @t6 (=> @t275 (exists @t106 (forall @t100 (= @t99 (and @t427 @t426))))))) % 0.72/0.90 (assume @p325 (forall @t6 (=> @t403 (exists @t106 (forall @t100 (= @t99 (and @t427 @t402))))))) % 0.72/0.90 (assume @p326 (forall @t6 (=> @t405 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t24) (exists @t98 (and @t96 (= @t76 (tptp.set_difference @t88 @t142))))))))))) % 0.72/0.90 (assume @p327 (forall @t6 (=> @t345 (forall @t106 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t412) (exists @t396 (and @t425 (tptp.in @t178 @t337) @t428)))))))))) % 0.72/0.90 (assume @p328 (forall @t6 (=> @t345 (forall @t106 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t418) (exists @t396 (and @t425 @t180 @t428)))))))))) % 0.72/0.90 (assume @p329 (forall @t45 (=> @t375 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t419) (exists @t396 (and (= @t88 @t395) (tptp.in (tptp.ordered_pair @t372 @t420) @t2)))))))))) % 0.72/0.90 (assume @p330 (forall @t13 (exists @t11 (forall @t106 (= @t150 (and @t78 @t347)))))) % 0.72/0.90 (assume @p331 (forall @t45 (=> @t423 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t422) @t421))))))) % 0.72/0.90 (assume @p332 (forall @t6 (=> @t29 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t424) (exists @t98 (and @t399 @t317 @t104))))))))) % 0.72/0.90 (assume @p333 (forall @t6 (=> @t329 (=> (and (forall @t231 (=> (and @t78 @t327 @t323) @t317)) (forall @t106 (not (and @t78 (forall @t100 (not (exists @t316 (and (= @t41 @t313) @t377 @t376)))))))) (exists @t106 (and @t42 @t204 @t202 (forall @t100 (=> @t155 (exists @t367 (and (= @t76 @t363) (tptp.in @t222 @t363) (forall @t366 (=> @t365 (tptp.in (tptp.ordered_pair @t222 @t361) @t2))))))))))))) % 0.72/0.90 (assume @p334 (forall @t13 (=> (and (forall @t129 (=> (and @t3 @t331 @t330) @t77)) (forall @t11 (not (and @t3 (forall @t106 (not @t331)))))) @t431))) % 0.72/0.90 (assume @p335 (forall @t6 (=> @t345 (=> (and (forall @t231 (=> (and @t341 @t343 @t340) @t317)) (forall @t106 (not (and @t341 @t433)))) (exists @t106 (and @t42 @t204 (= @t201 @t337) (forall @t100 (=> @t338 @t432)))))))) % 0.72/0.90 (assume @p336 (forall @t6 (=> @t345 (=> (and (forall @t231 (=> (and @t150 @t343 @t340) @t317)) (forall @t106 (not (and @t150 @t433)))) (exists @t106 (and @t42 @t204 (= @t201 @t2) (forall @t100 (=> @t91 @t432)))))))) % 0.72/0.90 (assume @p337 (=> (forall @t13 (=> @t32 (=> (forall @t11 (=> @t29 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t106 (=> (tptp.element @t41 (tptp.powerset @t246)) (not (and @t188 (forall @t100 (not (and @t99 (forall @t98 (=> (and (tptp.in @t88 @t41) (tptp.subset @t76 @t88)) @t392))))))))))))) (=> @t434 (forall @t229 (=> (tptp.element @t178 @t233) @t398)))))) (forall @t13 (=> @t32 (=> @t434 (forall @t321 (=> (tptp.element @t318 @t233) (not (and (not (= @t318 tptp.empty_set)) (forall @t316 (not (and @t384 (forall @t315 (=> (and (tptp.in @t312 @t318) (tptp.subset @t313 @t312)) (= @t312 @t313))))))))))))))) % 0.72/0.90 (assume @p338 (forall @t13 @t431)) % 0.72/0.90 (assume @p339 (forall @t6 (=> @t275 (exists @t106 (and @t436 (forall @t100 (=> @t435 (= @t99 @t426)))))))) % 0.72/0.90 (assume @p340 (forall @t6 (=> @t403 (exists @t106 (and @t436 (forall @t100 (=> @t435 (= @t99 @t402)))))))) % 0.72/0.90 (assume @p341 (forall @t6 (=> @t225 (tptp.disjoint @t2 @t1)))) % 0.72/0.90 (assume @p342 (forall @t6 (=> @t205 (tptp.equipotent @t2 @t1)))) % 0.72/0.90 (assume @p343 (forall @t13 (tptp.in @t1 @t143))) % 0.72/0.90 (assume @p344 (forall @t6 (=> @t234 (and @t438 (not (and (not @t437) @t133)))))) % 0.72/0.90 (assume @p345 (forall @t122 (not (and (= @t53 (tptp.unordered_pair @t41 @t76)) (not @t439) (not (= @t1 @t76)))))) % 0.72/0.90 (assume @p346 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t41))) (and @t5 (tptp.in @t1 @t200)))))) % 0.72/0.90 (assume @p347 (forall @t6 (=> @t84 (tptp.subset @t440 @t1)))) % 0.72/0.90 (assume @p348 (forall @t6 (=> @t84 (tptp.subset @t105 @t2)))) % 0.72/0.90 (assume @p349 (forall @t6 (=> @t84 (tptp.subset @t440 @t124)))) % 0.72/0.90 (assume @p350 (forall @t45 (=> @t86 (and (tptp.subset @t379 @t418) (tptp.subset (tptp.cartesian_product2 @t41 @t1) (tptp.cartesian_product2 @t41 @t2)))))) % 0.72/0.90 (assume @p351 (forall @t6 (=> @t84 (= @t440 (tptp.set_intersection2 @t124 @t1))))) % 0.72/0.90 (assume @p352 (forall @t122 (=> (and @t86 @t164) (tptp.subset @t379 (tptp.cartesian_product2 @t2 @t76))))) % 0.72/0.90 (assume @p353 (forall @t6 (=> @t234 (=> @t176 (= @t441 (tptp.subset_complement @t1 @t248)))))) % 0.72/0.90 (assume @p354 (forall @t45 (=> @t135 (and (tptp.subset @t201 @t1) (tptp.subset @t200 @t2))))) % 0.72/0.90 (assume @p355 (forall @t6 (=> @t234 (=> @t176 (= @t442 (tptp.subset_complement @t1 @t250)))))) % 0.72/0.90 (assume @p356 (forall @t6 (=> @t86 (= @t55 @t2)))) % 0.72/0.90 (assume @p357 (forall @t13 (exists @t11 (and @t5 @t445 (forall @t106 (=> @t150 (tptp.in @t444 @t2))) @t443)))) % 0.72/0.90 (assume @p358 (forall @t6 (=> (and @t86 @t48) @t33))) % 0.72/0.90 (assume @p359 (forall @t13 (=> @t158 (forall @t11 (=> @t148 (= (tptp.finite @t337) @t48)))))) % 0.72/0.90 (assume @p360 (forall @t45 (=> @t42 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t41) @t2) (tptp.relation_rng_restriction @t1 @t446))))) % 0.72/0.90 (assume @p361 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_image @t41 @t2)) (exists @t100 (and (tptp.in @t76 @t201) (tptp.in (tptp.ordered_pair @t76 @t1) @t41) @t91)))))) % 0.72/0.90 (assume @p362 (forall @t6 (=> @t84 (tptp.subset @t447 @t124)))) % 0.72/0.90 (assume @p363 (forall @t6 (=> @t287 (tptp.subset @t449 @t1)))) % 0.72/0.90 (assume @p364 (forall @t6 (=> @t84 (= @t447 (tptp.relation_image @t2 @t450))))) % 0.72/0.90 (assume @p365 (forall @t6 (=> @t84 (=> (tptp.subset @t1 @t123) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t447)))))) % 0.72/0.90 (assume @p366 (forall @t13 (=> @t40 (= (tptp.relation_image @t1 @t97) @t208)))) % 0.72/0.90 (assume @p367 (forall @t6 (=> @t287 (=> @t451 (= @t449 @t1))))) % 0.72/0.90 (assume @p368 (forall @t122 (=> @t454 (=> (tptp.subset @t453 @t2) @t452)))) % 0.72/0.90 (assume @p369 (forall @t13 (=> @t158 (forall @t11 (=> @t116 (= (tptp.subset_intersection2 @t57 @t2 @t186) @t2)))))) % 0.72/0.90 (assume @p370 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t455 (tptp.relation_image @t2 @t208))))))) % 0.72/0.90 (assume @p371 (forall @t45 (=> @t42 (= (tptp.in @t1 @t456) (exists @t100 (and (tptp.in @t76 @t200) (tptp.in (tptp.ordered_pair @t1 @t76) @t41) @t91)))))) % 0.72/0.90 (assume @p372 (forall @t6 (=> @t84 (tptp.subset @t448 @t123)))) % 0.72/0.90 (assume @p373 (forall @t122 (=> @t454 (=> @t86 @t452)))) % 0.72/0.90 (assume @p374 @t460) % 0.72/0.90 (assume @p375 (forall @t45 (=> @t42 (= (tptp.in @t1 @t461) (and @t305 (tptp.in @t1 @t218)))))) % 0.72/0.90 (assume @p376 (forall @t6 (=> @t84 (not (and @t156 @t451 (= @t448 tptp.empty_set)))))) % 0.72/0.90 (assume @p377 (forall @t45 (=> @t42 (=> @t86 (tptp.subset (tptp.relation_inverse_image @t41 @t1) @t456))))) % 0.72/0.90 (assume @p378 (forall @t6 (=> @t287 (=> @t33 (tptp.finite @t447))))) % 0.72/0.90 (assume @p379 (forall @t13 (=> @t158 (forall @t11 (=> @t116 (= @t159 @t216)))))) % 0.72/0.90 (assume @p380 @t466) % 0.72/0.90 (assume @p381 (forall @t6 (=> @t84 (= @t467 (tptp.relation_dom_restriction @t105 @t1))))) % 0.72/0.90 (assume @p382 (forall @t6 (tptp.subset @t66 @t1))) % 0.72/0.90 (assume @p383 (forall @t13 (=> @t33 (forall @t11 (=> @t234 (not (and @t176 (forall @t106 (not (and @t150 (forall @t100 (=> (and @t91 @t164) @t397)))))))))))) % 0.72/0.90 (assume @p384 (forall @t6 (=> @t84 (= @t467 (tptp.relation_rng_restriction @t1 @t468))))) % 0.72/0.90 (assume @p385 (forall @t45 (=> @t42 (=> (tptp.in @t1 (tptp.relation_field @t461)) (and @t470 @t5))))) % 0.72/0.90 (assume @p386 (forall @t45 (=> (and @t86 @t471) (tptp.subset @t1 @t310)))) % 0.72/0.90 (assume @p387 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.72/0.90 (assume @p388 (forall @t6 (=> @t5 @t472))) % 0.72/0.90 (assume @p389 (forall @t45 (=> (and @t86 @t370) @t471))) % 0.72/0.90 (assume @p390 (= @t371 (tptp.singleton tptp.empty_set))) % 0.72/0.90 (assume @p391 (forall @t45 (=> @t42 (=> @t474 (and @t473 (tptp.in @t2 @t200)))))) % 0.72/0.90 (assume @p392 (forall @t6 (=> @t84 (and (tptp.subset @t475 @t165) (tptp.subset @t475 @t1))))) % 0.72/0.90 (assume @p393 (forall @t6 (=> @t287 (forall @t106 (=> @t224 (= @t478 (and @t473 (tptp.in @t476 @t123)))))))) % 0.72/0.90 (assume @p394 (forall @t122 (=> @t480 (forall @t98 (=> (and (tptp.relation @t88) (tptp.function @t88)) (=> @t78 (or @t133 (= (tptp.apply (tptp.relation_composition @t76 @t88) @t41) (tptp.apply @t88 @t479))))))))) % 0.72/0.90 (assume @p395 (forall @t13 (=> @t38 (forall @t11 (=> @t29 (=> @t8 @t5)))))) % 0.72/0.90 (assume @p396 (forall @t13 (=> @t40 (tptp.subset @t1 (tptp.cartesian_product2 @t97 @t208))))) % 0.72/0.90 (assume @p397 (forall @t45 (=> @t42 (tptp.subset (tptp.fiber (tptp.relation_restriction @t41 @t1) @t2) (tptp.fiber @t41 @t2))))) % 0.72/0.90 (assume @p398 (forall @t6 (=> @t287 (forall @t106 (=> @t224 (=> @t478 (= (tptp.apply @t477 @t1) (tptp.apply @t2 @t476)))))))) % 0.72/0.90 (assume @p399 (forall @t13 (=> @t158 (forall @t11 (=> @t116 (= (tptp.subset_difference @t57 @t186 @t216) @t2)))))) % 0.72/0.90 (assume @p400 (forall @t45 (=> (tptp.relation_of2_as_subset @t41 @t2 @t1) (= (forall @t100 (not (and @t91 (forall @t98 (not @t92))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t41) @t2))))) % 0.72/0.90 (assume @p401 (forall @t6 (=> @t84 (=> @t481 (tptp.reflexive @t467))))) % 0.72/0.90 (assume @p402 (forall @t6 (=> @t287 (forall @t106 (=> @t224 (=> (tptp.in @t1 @t123) (= (tptp.apply (tptp.relation_composition @t2 @t41) @t1) (tptp.apply @t41 (tptp.apply @t2 @t1))))))))) % 0.72/0.90 (assume @p403 (forall @t13 (=> (and @t63 @t69 @t226 @t227) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (tptp.below @t1 @t67 @t2)))))))) % 0.72/0.90 (assume @p404 (forall @t6 (=> @t29 (=> @t5 @t32)))) % 0.72/0.90 (assume @p405 (forall @t45 (=> @t135 (= (forall @t100 (not (and @t91 (forall @t98 (not (tptp.in @t118 @t41)))))) (= @t247 @t2))))) % 0.72/0.90 (assume @p406 (forall @t6 (=> @t84 (=> @t482 (tptp.connected @t467))))) % 0.72/0.90 (assume @p407 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (not (and @t298 @t235 @t4))))))) % 0.72/0.90 (assume @p408 (forall @t6 (=> @t84 (=> @t483 (tptp.transitive @t467))))) % 0.72/0.90 (assume @p409 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> @t86 (and (tptp.subset @t97 @t123) (tptp.subset @t208 @t124)))))))) % 0.72/0.90 (assume @p410 (forall @t6 (=> @t84 (=> @t484 (tptp.antisymmetric @t467))))) % 0.72/0.90 (assume @p411 (forall @t6 (=> @t84 (=> @t487 (and @t486 @t485))))) % 0.72/0.90 (assume @p412 (forall @t13 (=> @t103 (=> (tptp.finite @t97) (tptp.finite @t208))))) % 0.72/0.90 (assume @p413 (forall @t13 (=> (and @t63 @t61 @t60) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (=> (and @t182 (tptp.below @t1 @t41 @t2)) @t139)))))))) % 0.72/0.90 (assume @p414 (forall @t13 (exists @t11 (and @t84 @t487)))) % 0.72/0.90 (assume @p415 (forall @t45 (=> @t86 (tptp.subset (tptp.set_intersection2 @t1 @t41) @t310)))) % 0.72/0.90 (assume @p416 (forall @t13 (=> @t173 (not (and (forall @t11 (not (and @t3 @t133))) (forall @t11 (=> @t287 (not (and @t430 (forall @t106 (=> @t78 (tptp.in @t429 @t41)))))))))))) % 0.72/0.90 (assume @p417 (forall @t6 (=> @t86 (= @t66 @t1)))) % 0.72/0.90 (assume @p418 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t217 @t284)))))) % 0.72/0.90 (assume @p419 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.72/0.90 (assume @p420 (forall @t6 (=> @t472 (or @t172 @t5)))) % 0.72/0.90 (assume @p421 (forall @t6 (=> (forall @t106 (= @t78 @t150)) @t87))) % 0.72/0.90 (assume @p422 (forall @t13 (tptp.reflexive @t166))) % 0.72/0.90 (assume @p423 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 0.72/0.90 (assume @p424 (forall @t45 (=> @t42 (=> @t474 (and @t470 (tptp.in @t2 @t469)))))) % 0.72/0.90 (assume @p425 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t211 @t286)))))) % 0.72/0.90 (assume @p426 (forall @t13 (=> (forall @t11 (=> @t3 (and @t29 @t85))) @t32))) % 0.72/0.90 (assume @p427 (forall @t6 (=> @t84 (=> @t488 (tptp.well_founded_relation @t467))))) % 0.72/0.90 (assume @p428 (forall @t6 (=> @t29 (not (and @t86 @t156 (forall @t106 (=> @t347 (not (and @t78 (forall @t100 (=> @t354 (=> @t155 (tptp.ordinal_subset @t41 @t76))))))))))))) % 0.72/0.90 (assume @p429 (forall @t6 (=> @t84 (=> @t299 @t485)))) % 0.72/0.90 (assume @p430 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (= @t5 (tptp.ordinal_subset @t143 @t2))))))) % 0.72/0.90 (assume @p431 (forall @t45 (=> @t86 (tptp.subset (tptp.set_difference @t1 @t41) @t311)))) % 0.72/0.90 (assume @p432 (forall @t122 (=> (= @t213 @t79) (and @t439 @t169)))) % 0.72/0.90 (assume @p433 (forall @t6 (=> @t287 (= @t83 (and @t430 (forall @t106 (=> @t78 (= @t429 @t41)))))))) % 0.72/0.90 (assume @p434 (forall @t6 (=> @t3 (= (tptp.apply @t82 @t2) @t2)))) % 0.72/0.90 (assume @p435 (forall @t6 (tptp.subset @t206 @t1))) % 0.72/0.90 (assume @p436 (forall @t13 (=> @t40 (and (= @t208 (tptp.relation_dom @t220)) (= @t97 (tptp.relation_rng @t220)))))) % 0.72/0.90 (assume @p437 (forall @t45 (= (tptp.subset @t53 @t41) (and @t305 @t185)))) % 0.72/0.90 (assume @p438 (forall @t6 (=> @t84 (=> (and @t299 (tptp.subset @t1 @t165)) @t486)))) % 0.72/0.90 (assume @p439 (forall @t6 (= @t489 @t55))) % 0.72/0.90 (assume @p440 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.72/0.90 (assume @p441 (forall @t45 (not (and @t5 @t185 @t78)))) % 0.72/0.90 (assume @p442 (forall @t6 (= @t306 @t86))) % 0.72/0.90 (assume @p443 (forall @t13 (tptp.transitive @t166))) % 0.72/0.90 (assume @p444 (forall @t6 (and (not (and @t491 (forall @t106 (not @t490)))) (not (and (exists @t106 @t490) @t225))))) % 0.72/0.90 (assume @p445 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t132))) % 0.72/0.90 (assume @p446 (forall @t6 (= (tptp.set_difference @t55 @t2) @t206))) % 0.72/0.90 (assume @p447 (forall @t13 (=> @t32 (= @t210 (forall @t11 (=> @t29 (=> @t3 (tptp.in @t424 @t1)))))))) % 0.72/0.90 (assume @p448 (forall @t13 (=> @t32 (and (not (and (not @t210) (forall @t11 (=> @t29 (not @t492))))) (not (and (exists @t11 (and @t29 @t492)) @t210)))))) % 0.72/0.90 (assume @p449 (forall @t6 (=> @t25 (forall @t106 (=> @t72 (= @t494 (tptp.subset @t2 @t493))))))) % 0.72/0.90 (assume @p450 (forall @t13 (=> @t288 (forall @t11 (=> @t148 (=> @t174 (tptp.closed_subset (tptp.meet_of_subsets @t57 @t2) @t1))))))) % 0.72/0.90 (assume @p451 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (tptp.subset @t495 @t97)))))) % 0.72/0.90 (assume @p452 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (tptp.subset @t160 @t2)))))) % 0.72/0.90 (assume @p453 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (forall @t106 (=> (tptp.in @t41 @t57) (= (tptp.in @t41 @t114) (forall @t100 (=> @t435 (=> @t496 @t154))))))))))) % 0.72/0.90 (assume @p454 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (tptp.subset @t455 @t124)))))) % 0.72/0.90 (assume @p455 (forall @t6 (=> @t86 (= @t2 @t489)))) % 0.72/0.90 (assume @p456 (forall @t122 (=> @t480 (=> @t176 (forall @t98 (= (tptp.in @t88 (tptp.relation_inverse_image @t76 @t41)) (and @t104 (tptp.in (tptp.apply @t76 @t88) @t41)))))))) % 0.72/0.90 (assume @p457 (forall @t13 (=> @t288 (forall @t11 (=> @t116 (exists @t106 (and @t436 (forall @t100 (=> @t435 (= @t99 @t496))) (= @t114 (tptp.meet_of_subsets @t57 @t41))))))))) % 0.72/0.90 (assume @p458 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> (tptp.subset @t208 @t123) (= @t495 @t97))))))) % 0.72/0.90 (assume @p459 (forall @t6 (=> @t234 @t438))) % 0.72/0.90 (assume @p460 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> (tptp.subset @t97 @t124) (= (tptp.relation_rng @t258) @t208))))))) % 0.72/0.90 (assume @p461 (forall @t6 (=> @t234 (=> @t176 (= (tptp.subset_difference @t1 @t196 @t248) @t441))))) % 0.72/0.90 (assume @p462 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (tptp.subset @t2 @t114)))))) % 0.72/0.90 (assume @p463 (forall @t6 (=> @t234 (=> @t176 (= @t442 (tptp.subset_difference @t1 @t196 @t250)))))) % 0.72/0.90 (assume @p464 (forall @t6 (= (tptp.set_difference @t1 @t206) @t66))) % 0.72/0.90 (assume @p465 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t224 (=> @t223 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t41)))))))))) % 0.72/0.90 (assume @p466 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.72/0.90 (assume @p467 (forall @t45 (=> (and @t5 @t497) (tptp.element @t1 @t41)))) % 0.72/0.90 (assume @p468 (forall @t13 (=> @t32 (tptp.connected @t166)))) % 0.72/0.90 (assume @p469 (forall @t6 (and (not (and @t491 (forall @t106 (not @t498)))) (not (and (exists @t106 @t498) @t225))))) % 0.72/0.90 (assume @p470 (forall @t13 (=> @t156 (forall @t11 (=> @t25 (forall @t106 (=> (tptp.element @t41 @t1) (=> @t183 (tptp.in @t41 @t212))))))))) % 0.72/0.90 (assume @p471 (forall @t13 (=> @t288 (forall @t11 (=> @t116 @t292))))) % 0.72/0.90 (assume @p472 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (and (=> @t217 @t499) (=> (and @t149 @t499) @t217))))))) % 0.72/0.90 (assume @p473 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t224 (=> @t223 (and (=> @t198 @t481) (=> @t120 @t483) (=> @t119 @t482) (=> @t108 @t484) (=> @t177 @t488)))))))))) % 0.72/0.90 (assume @p474 (forall @t13 (=> @t103 (=> @t49 (forall @t11 (=> @t287 (= (= @t2 @t236) (and (= @t123 @t208) (forall @t81 (and (=> @t500 @t207) (=> @t207 @t500))))))))))) % 0.72/0.90 (assume @p475 (forall @t45 (=> @t72 (not (and (tptp.in @t2 @t493) @t185))))) % 0.72/0.90 (assume @p476 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t224 (=> (and @t199 @t223) @t299)))))))) % 0.72/0.90 (assume @p477 (forall @t13 (=> @t103 (=> @t49 (and (= @t208 (tptp.relation_dom @t236)) (= @t97 (tptp.relation_rng @t236))))))) % 0.72/0.90 (assume @p478 (forall @t13 (=> @t288 (forall @t11 (=> (tptp.top_str @t2) (forall @t106 (=> @t115 (forall @t100 (=> (tptp.element @t76 (tptp.powerset (tptp.the_carrier @t2))) (and (=> (tptp.open_subset @t76 @t2) (= (tptp.interior @t2 @t76) @t76)) (=> (= (tptp.interior @t1 @t41) @t41) @t161))))))))))) % 0.72/0.90 (assume @p479 (forall @t13 (=> @t40 (=> (forall @t95 @t302) @t132)))) % 0.72/0.90 (assume @p480 (forall @t6 (=> @t287 (=> (and @t309 (tptp.in @t1 @t124)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t501 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t501 @t2) @t1))))))) % 0.72/0.90 (assume @p481 (forall @t45 (not (and @t5 @t497 (tptp.empty @t41))))) % 0.72/0.90 (assume @p482 (forall @t13 (=> @t268 (forall @t11 (=> @t148 (not (and @t228 @t133))))))) % 0.72/0.90 (assume @p483 (forall @t13 (=> @t40 (= @t177 (tptp.is_well_founded_in @t1 @t107))))) % 0.72/0.90 (assume @p484 (forall @t13 (tptp.antisymmetric @t166))) % 0.72/0.90 (assume @p485 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.72/0.90 (assume @p486 (forall @t6 (not (and @t86 @t7)))) % 0.72/0.90 (assume @p487 (forall @t13 (=> @t103 (=> @t49 (tptp.one_to_one @t236))))) % 0.72/0.90 (assume @p488 (forall @t45 (=> (and @t86 @t494) (tptp.disjoint @t1 @t41)))) % 0.72/0.90 (assume @p489 (forall @t13 (=> @t40 (=> (or @t503 @t502) @t132)))) % 0.72/0.90 (assume @p490 (forall @t13 (=> @t40 (= @t503 @t502)))) % 0.72/0.90 (assume @p491 (forall @t6 (= (= (tptp.set_difference @t1 @t303) @t1) @t4))) % 0.72/0.90 (assume @p492 (forall @t6 (=> @t287 (forall @t106 (=> @t224 (= (= @t2 @t307) (and (= @t123 (tptp.set_intersection2 @t201 @t1)) (forall @t100 (=> (tptp.in @t76 @t123) (= (tptp.apply @t2 @t76) @t222)))))))))) % 0.72/0.90 (assume @p493 (forall @t13 (= (tptp.unordered_pair @t1 @t1) @t142))) % 0.72/0.90 (assume @p494 (forall @t13 (=> @t22 @t132))) % 0.72/0.90 (assume @p495 (forall @t122 (=> @t480 (=> @t78 (or @t133 (tptp.in @t479 @t453)))))) % 0.72/0.90 (assume @p496 (forall @t13 (=> @t32 (tptp.well_founded_relation @t166)))) % 0.72/0.90 (assume @p497 (forall @t6 (=> (tptp.subset @t142 @t303) @t87))) % 0.72/0.90 (assume @p498 (forall @t45 (=> @t224 (=> @t308 @t504)))) % 0.72/0.90 (assume @p499 (forall @t13 (and (= (tptp.relation_dom @t82) @t1) (= (tptp.relation_rng @t82) @t1)))) % 0.72/0.90 (assume @p500 (forall @t45 (=> @t224 (=> @t3 @t504)))) % 0.72/0.90 (assume @p501 (forall @t122 (=> @t374 (= (tptp.in @t213 (tptp.relation_composition (tptp.identity_relation @t41) @t76)) (and @t305 (tptp.in @t213 @t76)))))) % 0.72/0.90 (assume @p502 (forall @t6 (not (and @t5 @t172)))) % 0.72/0.90 (assume @p503 (forall @t6 (and (= (tptp.pair_first @t213) @t1) (= (tptp.pair_second @t213) @t2)))) % 0.72/0.90 (assume @p504 (forall @t6 (not (and @t5 (forall @t106 (not (and @t150 (forall @t100 (not (and @t91 @t99)))))))))) % 0.72/0.90 (assume @p505 (forall @t13 (=> @t32 (tptp.well_ordering @t166)))) % 0.72/0.90 (assume @p506 (forall @t6 (tptp.subset @t1 @t55))) % 0.72/0.90 (assume @p507 (forall @t6 (= @t225 (= @t206 @t1)))) % 0.72/0.90 (assume @p508 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_dom @t446)) (and @t5 @t473))))) % 0.72/0.90 (assume @p509 (forall @t6 (=> @t84 (tptp.subset @t468 @t2)))) % 0.72/0.90 (assume @p510 (forall @t6 (not (and @t22 @t235 @t172)))) % 0.72/0.90 (assume @p511 (forall @t45 (=> @t224 (= @t474 (and @t473 (= @t2 @t476)))))) % 0.72/0.90 (assume @p512 (forall @t13 (=> @t40 (= (tptp.well_orders @t1 @t107) @t199)))) % 0.72/0.90 (assume @p513 (forall @t45 (=> (and @t86 @t189) (tptp.subset (tptp.set_union2 @t1 @t41) @t2)))) % 0.72/0.90 (assume @p514 (forall @t45 (=> @t505 @t87))) % 0.72/0.90 (assume @p515 (forall @t6 (=> @t84 (= (tptp.relation_dom @t468) @t450)))) % 0.72/0.90 (assume @p516 (forall @t6 (=> @t84 (= @t468 (tptp.relation_composition @t82 @t2))))) % 0.72/0.90 (assume @p517 (forall @t6 (=> @t84 (tptp.subset (tptp.relation_rng @t468) @t124)))) % 0.72/0.90 (assume @p518 (forall @t13 (= (tptp.union @t24) @t1))) % 0.72/0.90 (assume @p519 (forall @t122 (=> @t480 (=> @t370 (or (and @t133 @t156) (and @t239 (tptp.quasi_total @t76 @t1 @t41) (tptp.relation_of2_as_subset @t76 @t1 @t41))))))) % 0.72/0.90 (assume @p520 (forall @t13 (exists @t11 (and @t5 @t445 (forall @t106 (not (and @t150 (forall @t100 (not (and @t91 (forall @t98 (=> (tptp.subset @t88 @t41) @t121)))))))) @t443)))) % 0.72/0.90 (assume @p521 (forall @t45 (=> @t505 @t139))) % 0.72/0.90 (step @p522 :rule bool-impl-elim :args (@t234 @t506)) % 0.72/0.90 (step @p523 :rule cong :premises (@p522) :args ((forall @t6 (=> @t234 @t506)))) % 0.72/0.90 (step @p524 :rule eq-symm :args (@t293 @t2)) % 0.72/0.90 (step @p525 :rule refl :args (@t234)) % 0.72/0.90 (step @p526 :rule cong :premises (@p525 @p524) :args (@t294)) % 0.72/0.90 (step @p527 :rule cong :premises (@p526) :args (@t295)) % 0.72/0.90 (step @p528 :rule trans :premises (@p527 @p523)) % 0.72/0.90 (step @p529 :rule eq_resolve :premises (@p233 @p528)) % 0.72/0.90 (step @p530 :rule instantiate :premises (@p529) :args (@t517)) % 0.72/0.90 (step @p531 :rule aci_norm :args ((= @t519 @t511))) % 0.72/0.90 (step @p532 :rule cong :premises (@p531) :args (@t520)) % 0.72/0.90 (step @p533 :rule quant-merge-prenex :args ((= (forall @t13 @t522) @t520))) % 0.72/0.90 (step @p534 :rule alpha_equiv :args (@t523 (@list @t507) @t524)) % 0.72/0.90 (step @p535 :rule refl :args (@t510)) % 0.72/0.90 (step @p536 :rule nary_cong :premises (@p535 @p534) :args (@t525)) % 0.72/0.90 (step @p537 :rule quant-miniscope-or :args ((= @t522 @t525))) % 0.72/0.90 (step @p538 :rule trans :premises (@p537 @p536)) % 0.72/0.90 (step @p539 :rule symm :premises (@p538)) % 0.72/0.90 (step @p540 :rule cong :premises (@p539) :args ((forall @t13 (or @t510 @t527)))) % 0.72/0.90 (step @p541 :rule trans :premises (@p540 @p533)) % 0.72/0.90 (step @p542 :rule trans :premises (@p541 @p532)) % 0.72/0.90 (step @p543 :rule bool-impl-elim :args (@t117 @t527)) % 0.72/0.90 (step @p544 :rule cong :premises (@p543) :args ((forall @t13 (=> @t117 @t527)))) % 0.72/0.90 (step @p545 :rule trans :premises (@p544 @p542)) % 0.72/0.90 (step @p546 :rule bool-impl-elim :args (@t148 @t462)) % 0.72/0.90 (step @p547 :rule cong :premises (@p546) :args (@t463)) % 0.72/0.90 (step @p548 :rule refl :args (@t117)) % 0.72/0.90 (step @p549 :rule cong :premises (@p548 @p547) :args (@t464)) % 0.72/0.90 (step @p550 :rule cong :premises (@p549) :args (@t465)) % 0.72/0.90 (step @p551 :rule trans :premises (@p550 @p545)) % 0.72/0.90 (step @p552 :rule cong :premises (@p551) :args (@t466)) % 0.72/0.90 (step @p553 :rule eq_resolve :premises (@p380 @p552)) % 0.72/0.90 (step @p554 :rule skolemize :premises (@p553)) % 0.72/0.90 (step @p555 :rule bool-double-not-elim :args (@t529)) % 0.72/0.90 (step @p556 :rule refl :args (@t537)) % 0.72/0.90 (step @p557 :rule nary_cong :premises (@p556 @p555) :args ((or @t537 (not @t534)))) % 0.72/0.90 (step @p558 :rule cnf_or_neg :args (@t537 1)) % 0.72/0.90 (step @p559 :rule eq_resolve :premises (@p558 @p557)) % 0.72/0.90 (step @p560 :rule reordering :premises (@p559) :args ((or @t529 @t537))) % 0.72/0.90 (step @p561 :rule chain_m_resolution :premises (@p560 @p554) :args (@t529 @t538 @t539)) % 0.72/0.90 (step @p562 :rule cnf_or_pos :args (@t542)) % 0.72/0.90 (step @p563 :rule reordering :premises (@p562) :args ((or @t534 @t541 (not @t542)))) % 0.72/0.90 (step @p564 :rule chain_m_resolution :premises (@p563 @p561 @p530) :args (@t541 @t543 (@list @t529 @t542))) % 0.72/0.90 (step @p565 :rule aci_norm :args ((= @t548 (or @t510 @t546 @t545)))) % 0.72/0.90 (step @p566 :rule cong :premises (@p565) :args (@t549)) % 0.72/0.90 (step @p567 :rule quant-merge-prenex :args ((= (forall @t13 @t551) @t549))) % 0.72/0.90 (step @p568 :rule alpha_equiv :args (@t552 (@list @t544) @t524)) % 0.72/0.90 (step @p569 :rule nary_cong :premises (@p535 @p568) :args (@t553)) % 0.72/0.90 (step @p570 :rule quant-miniscope-or :args ((= @t551 @t553))) % 0.72/0.90 (step @p571 :rule trans :premises (@p570 @p569)) % 0.72/0.90 (step @p572 :rule symm :premises (@p571)) % 0.72/0.90 (step @p573 :rule cong :premises (@p572) :args ((forall @t13 (or @t510 @t554)))) % 0.72/0.90 (step @p574 :rule trans :premises (@p573 @p567)) % 0.72/0.90 (step @p575 :rule trans :premises (@p574 @p566)) % 0.72/0.90 (step @p576 :rule bool-impl-elim :args (@t117 @t554)) % 0.72/0.90 (step @p577 :rule cong :premises (@p576) :args ((forall @t13 (=> @t117 @t554)))) % 0.72/0.90 (step @p578 :rule trans :premises (@p577 @p575)) % 0.72/0.90 (step @p579 :rule bool-impl-elim :args (@t148 @t457)) % 0.72/0.90 (step @p580 :rule cong :premises (@p579) :args (@t458)) % 0.72/0.90 (step @p581 :rule cong :premises (@p548 @p580) :args (@t459)) % 0.72/0.90 (step @p582 :rule cong :premises (@p581) :args (@t460)) % 0.72/0.90 (step @p583 :rule trans :premises (@p582 @p578)) % 0.72/0.90 (step @p584 :rule eq_resolve :premises (@p374 @p583)) % 0.72/0.90 (step @p585 :rule instantiate :premises (@p584) :args ((@list @t515 @t530))) % 0.72/0.90 (step @p586 :rule bool-impl-elim :args (@t234 @t253)) % 0.72/0.90 (step @p587 :rule cong :premises (@p586) :args (@t254)) % 0.72/0.90 (step @p588 :rule eq_resolve :premises (@p147 @p587)) % 0.72/0.90 (step @p589 :rule instantiate :premises (@p588) :args (@t517)) % 0.72/0.90 (step @p590 :rule cnf_or_pos :args (@t556)) % 0.72/0.90 (step @p591 :rule reordering :premises (@p590) :args ((or @t534 @t555 (not @t556)))) % 0.72/0.90 (step @p592 :rule chain_m_resolution :premises (@p591 @p561 @p589) :args (@t555 @t543 (@list @t529 @t556))) % 0.72/0.90 (step @p593 :rule bool-double-not-elim :args (@t535)) % 0.72/0.90 (step @p594 :rule nary_cong :premises (@p556 @p593) :args ((or @t537 (not @t536)))) % 0.72/0.90 (step @p595 :rule cnf_or_neg :args (@t537 0)) % 0.72/0.90 (step @p596 :rule eq_resolve :premises (@p595 @p594)) % 0.72/0.91 (step @p597 :rule reordering :premises (@p596) :args ((or @t535 @t537))) % 0.72/0.91 (step @p598 :rule chain_m_resolution :premises (@p597 @p554) :args (@t535 @t538 @t539)) % 0.72/0.91 (step @p599 :rule cnf_or_pos :args (@t560)) % 0.72/0.91 (step @p600 :rule reordering :premises (@p599) :args ((or @t536 @t559 @t558 (not @t560)))) % 0.72/0.91 (step @p601 :rule chain_m_resolution :premises (@p600 @p598 @p592 @p585) :args (@t558 (@list false false false) (@list @t535 @t555 @t560))) % 0.72/0.91 (step @p602 :rule cnf_equiv_pos1 :args (@t558)) % 0.72/0.91 (step @p603 :rule reordering :premises (@p602) :args ((or (not @t531) @t557 @t561))) % 0.72/0.91 (step @p604 :rule cnf_or_neg :args (@t537 2)) % 0.72/0.91 (step @p605 :rule chain_m_resolution :premises (@p604 @p554) :args ((not @t533) @t538 @t539)) % 0.72/0.91 (step @p606 :rule cnf_equiv_neg1 :args (@t533)) % 0.72/0.91 (step @p607 :rule reordering :premises (@p606) :args ((or @t532 @t531 @t533))) % 0.72/0.91 (step @p608 :rule refl :args (@t562)) % 0.72/0.91 (step @p609 :rule bool-double-not-elim :args (@t557)) % 0.72/0.91 (step @p610 :rule refl :args (@t563)) % 0.72/0.91 (step @p611 :rule nary_cong :premises (@p610 @p609 @p608) :args ((or @t563 (not @t564) @t562))) % 0.72/0.91 (assume-push @p660 @t541) % 0.72/0.91 (assume-push @p661 @t564) % 0.72/0.91 (assume-push @p662 @t564) % 0.72/0.91 (assume-push @p663 @t541) % 0.72/0.91 (step @p616 :rule false_intro :premises (@p661)) % 0.72/0.91 (step @p617 :rule refl :args (@t515)) % 0.72/0.91 (step @p618 :rule cong :premises (@p564 @p617) :args (@t532)) % 0.72/0.91 (step @p619 :rule trans :premises (@p618 @p616)) % 0.72/0.91 (step @p620 :rule false_elim :premises (@p619)) % 0.72/0.91 (step-pop @p664 :rule scope :premises (@p620)) % 0.72/0.91 (step-pop @p665 :rule scope :premises (@p664)) % 0.72/0.91 (step @p621 :rule process_scope :premises (@p665) :args (@t562)) % 0.72/0.91 (step @p624 :rule and_intro :premises (@p661 @p564)) % 0.72/0.91 (step @p625 :rule modus_ponens :premises (@p624 @p621)) % 0.72/0.91 (step-pop @p666 :rule scope :premises (@p625)) % 0.72/0.91 (step-pop @p667 :rule scope :premises (@p666)) % 0.72/0.91 (step @p626 :rule process_scope :premises (@p667) :args (@t562)) % 0.72/0.91 (step @p629 :rule implies_elim :premises (@p626)) % 0.72/0.91 (step @p630 :rule cnf_and_neg :args (@t565)) % 0.72/0.91 (step @p631 :rule resolution :premises (@p630 @p629) :args (true @t565)) % 0.72/0.91 (step @p632 :rule eq_resolve :premises (@p631 @p611)) % 0.72/0.91 (step @p633 :rule reordering :premises (@p632) :args ((or @t562 @t557 @t563))) % 0.72/0.91 (step @p634 :rule chain_m_resolution :premises (@p633 @p564 @p607 @p605 @p603 @p601) :args (@t557 (@list false false true true false) (@list @t541 @t532 @t533 @t531 @t558))) % 0.72/0.91 (step @p635 :rule cnf_equiv_pos2 :args (@t558)) % 0.72/0.91 (step @p636 :rule reordering :premises (@p635) :args ((or @t531 @t564 @t561))) % 0.72/0.91 (step @p637 :rule chain_m_resolution :premises (@p636 @p634 @p601) :args (@t531 @t543 (@list @t557 @t558))) % 0.72/0.91 (step @p638 :rule cnf_equiv_neg2 :args (@t533)) % 0.72/0.91 (step @p639 :rule chain_m_resolution :premises (@p638 @p605 @p637) :args (@t562 (@list true false) (@list @t533 @t531))) % 0.72/0.91 (assume-push @p668 @t541) % 0.72/0.91 (assume-push @p669 @t557) % 0.72/0.91 (assume-push @p670 @t557) % 0.72/0.91 (assume-push @p671 @t541) % 0.72/0.91 (step @p644 :rule true_intro :premises (@p669)) % 0.72/0.91 (step @p617 :rule refl :args (@t515)) % 0.72/0.91 (step @p618 :rule cong :premises (@p564 @p617) :args (@t532)) % 0.72/0.91 (step @p645 :rule trans :premises (@p618 @p644)) % 0.72/0.91 (step @p646 :rule true_elim :premises (@p645)) % 0.72/0.91 (step-pop @p672 :rule scope :premises (@p646)) % 0.72/0.91 (step-pop @p673 :rule scope :premises (@p672)) % 0.72/0.91 (step @p647 :rule process_scope :premises (@p673) :args (@t532)) % 0.72/0.91 (step @p650 :rule and_intro :premises (@p669 @p564)) % 0.72/0.91 (step @p651 :rule modus_ponens :premises (@p650 @p647)) % 0.72/0.91 (step-pop @p674 :rule scope :premises (@p651)) % 0.72/0.91 (step-pop @p675 :rule scope :premises (@p674)) % 0.72/0.91 (step @p652 :rule process_scope :premises (@p675) :args (@t532)) % 0.72/0.91 (step @p655 :rule implies_elim :premises (@p652)) % 0.72/0.91 (step @p656 :rule cnf_and_neg :args (@t566)) % 0.72/0.91 (step @p657 :rule resolution :premises (@p656 @p655) :args (true @t566)) % 0.72/0.91 (step @p658 :rule reordering :premises (@p657) :args ((or @t532 @t563 @t564))) % 0.72/0.91 (step @p659 false :rule chain_m_resolution :premises (@p658 @p639 @p634 @p564) :args (false (@list true false false) (@list @t532 @t557 @t541))) % 0.72/0.91 ) % 0.72/0.91 % SZS output end Proof % 0.72/0.91 % cvc5 exiting %------------------------------------------------------------------------------