%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU318+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:51:22 AM UTC 2026 % Result : Theorem 45.24s 45.46s % Output : Proof 45.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU318+2 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:54:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.61 %----Proving TF0_NAR, FOF, or CNF % 45.24/45.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 45.24/45.46 --- Run --no-e-matching --full-saturate-quant at 6... % 45.24/45.46 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 45.24/45.46 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 45.24/45.46 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 45.24/45.46 % SZS status Theorem % 45.24/45.46 % SZS output start Proof % 45.24/45.46 ( % 45.24/45.46 (declare-sort $$unsorted 0) % 45.24/45.46 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.function (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.finite (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.connected (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.empty_set $$unsorted) % 45.24/45.46 (declare-const tptp.empty (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.natural (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.relation (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.transitive (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.omega $$unsorted) % 45.24/45.46 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 45.24/45.46 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 45.24/45.46 (declare-const tptp.top_str (-> $$unsorted Bool)) % 45.24/45.46 (define @t1 () (@var "A" $$unsorted)) % 45.24/45.46 (define @t2 () (@var "B" $$unsorted)) % 45.24/45.46 (define @t3 () (tptp.in @t2 @t1)) % 45.24/45.46 (define @t4 () (not @t3)) % 45.24/45.46 (define @t5 () (tptp.in @t1 @t2)) % 45.24/45.46 (define @t6 () (@list @t1 @t2)) % 45.24/45.46 (define @t7 () (tptp.proper_subset @t2 @t1)) % 45.24/45.46 (define @t8 () (tptp.proper_subset @t1 @t2)) % 45.24/45.46 (define @t9 () (tptp.v1_xcmplx_0 @t2)) % 45.24/45.46 (define @t10 () (tptp.element @t2 @t1)) % 45.24/45.46 (define @t11 () (@list @t2)) % 45.24/45.46 (define @t12 () (tptp.v1_membered @t1)) % 45.24/45.46 (define @t13 () (@list @t1)) % 45.24/45.46 (define @t14 () (tptp.v1_xreal_0 @t2)) % 45.24/45.46 (define @t15 () (tptp.v2_membered @t1)) % 45.24/45.46 (define @t16 () (tptp.v1_rat_1 @t2)) % 45.24/45.46 (define @t17 () (tptp.v3_membered @t1)) % 45.24/45.46 (define @t18 () (tptp.v1_int_1 @t2)) % 45.24/45.46 (define @t19 () (tptp.v4_membered @t1)) % 45.24/45.46 (define @t20 () (tptp.natural @t2)) % 45.24/45.46 (define @t21 () (tptp.v5_membered @t1)) % 45.24/45.46 (define @t22 () (tptp.empty @t1)) % 45.24/45.46 (define @t23 () (tptp.v1_membered @t2)) % 45.24/45.46 (define @t24 () (tptp.powerset @t1)) % 45.24/45.46 (define @t25 () (tptp.element @t2 @t24)) % 45.24/45.46 (define @t26 () (tptp.v2_membered @t2)) % 45.24/45.46 (define @t27 () (tptp.v3_membered @t2)) % 45.24/45.46 (define @t28 () (tptp.v4_membered @t2)) % 45.24/45.46 (define @t29 () (tptp.ordinal @t2)) % 45.24/45.46 (define @t30 () (tptp.epsilon_connected @t2)) % 45.24/45.46 (define @t31 () (tptp.epsilon_transitive @t2)) % 45.24/45.46 (define @t32 () (tptp.ordinal @t1)) % 45.24/45.46 (define @t33 () (tptp.finite @t1)) % 45.24/45.46 (define @t34 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 45.24/45.46 (define @t35 () (tptp.preboolean @t1)) % 45.24/45.46 (define @t36 () (tptp.function @t1)) % 45.24/45.46 (define @t37 () (tptp.epsilon_connected @t1)) % 45.24/45.47 (define @t38 () (tptp.epsilon_transitive @t1)) % 45.24/45.47 (define @t39 () (and @t38 @t37)) % 45.24/45.47 (define @t40 () (tptp.relation @t1)) % 45.24/45.47 (define @t41 () (@var "C" $$unsorted)) % 45.24/45.47 (define @t42 () (tptp.relation @t41)) % 45.24/45.47 (define @t43 () (tptp.cartesian_product2 @t1 @t2)) % 45.24/45.47 (define @t44 () (tptp.element @t41 (tptp.powerset @t43))) % 45.24/45.47 (define @t45 () (@list @t1 @t2 @t41)) % 45.24/45.47 (define @t46 () (tptp.natural @t1)) % 45.24/45.47 (define @t47 () (and @t38 @t37 @t32 @t46)) % 45.24/45.47 (define @t48 () (tptp.finite @t2)) % 45.24/45.47 (define @t49 () (tptp.one_to_one @t1)) % 45.24/45.47 (define @t50 () (and @t40 @t36 @t49)) % 45.24/45.47 (define @t51 () (and @t40 @t22 @t36)) % 45.24/45.47 (define @t52 () (and @t38 @t37 @t32)) % 45.24/45.47 (define @t53 () (tptp.unordered_pair @t1 @t2)) % 45.24/45.47 (define @t54 () (tptp.set_union2 @t2 @t1)) % 45.24/45.47 (define @t55 () (tptp.set_union2 @t1 @t2)) % 45.24/45.47 (define @t56 () (tptp.join_commut @t1 @t2 @t41)) % 45.24/45.47 (define @t57 () (tptp.the_carrier @t1)) % 45.24/45.47 (define @t58 () (tptp.element @t41 @t57)) % 45.24/45.47 (define @t59 () (tptp.element @t2 @t57)) % 45.24/45.47 (define @t60 () (tptp.join_semilatt_str @t1)) % 45.24/45.47 (define @t61 () (tptp.join_commutative @t1)) % 45.24/45.47 (define @t62 () (not (tptp.empty_carrier @t1))) % 45.24/45.47 (define @t63 () (and @t62 @t61 @t60 @t59 @t58)) % 45.24/45.47 (define @t64 () (tptp.set_intersection2 @t2 @t1)) % 45.24/45.47 (define @t65 () (tptp.set_intersection2 @t1 @t2)) % 45.24/45.47 (define @t66 () (tptp.meet_commut @t1 @t2 @t41)) % 45.24/45.47 (define @t67 () (tptp.meet_semilatt_str @t1)) % 45.24/45.47 (define @t68 () (tptp.meet_commutative @t1)) % 45.24/45.47 (define @t69 () (and @t62 @t68 @t67 @t59 @t58)) % 45.24/45.47 (define @t70 () (tptp.subset_intersection2 @t1 @t2 @t41)) % 45.24/45.47 (define @t71 () (tptp.element @t41 @t24)) % 45.24/45.47 (define @t72 () (and @t25 @t71)) % 45.24/45.47 (define @t73 () (tptp.ordinal_subset @t1 @t2)) % 45.24/45.47 (define @t74 () (and @t32 @t29)) % 45.24/45.47 (define @t75 () (@var "D" $$unsorted)) % 45.24/45.47 (define @t76 () (= @t41 @t75)) % 45.24/45.47 (define @t77 () (tptp.in @t41 @t1)) % 45.24/45.47 (define @t78 () (tptp.ordered_pair @t41 @t75)) % 45.24/45.47 (define @t79 () (tptp.in @t78 @t2)) % 45.24/45.47 (define @t80 () (@list @t41 @t75)) % 45.24/45.47 (define @t81 () (tptp.identity_relation @t1)) % 45.24/45.47 (define @t82 () (= @t2 @t81)) % 45.24/45.47 (define @t83 () (tptp.relation @t2)) % 45.24/45.47 (define @t84 () (tptp.subset @t2 @t1)) % 45.24/45.47 (define @t85 () (tptp.subset @t1 @t2)) % 45.24/45.47 (define @t86 () (= @t1 @t2)) % 45.24/45.47 (define @t87 () (forall @t6 (= @t86 (and @t85 @t84)))) % 45.24/45.47 (define @t88 () (@var "E" $$unsorted)) % 45.24/45.47 (define @t89 () (tptp.ordered_pair @t75 @t88)) % 45.24/45.47 (define @t90 () (tptp.in @t89 @t1)) % 45.24/45.47 (define @t91 () (tptp.in @t75 @t2)) % 45.24/45.47 (define @t92 () (tptp.in @t89 @t41)) % 45.24/45.47 (define @t93 () (@list @t75 @t88)) % 45.24/45.47 (define @t94 () (tptp.relation_dom_restriction @t1 @t2)) % 45.24/45.47 (define @t95 () (@list @t2 @t41)) % 45.24/45.47 (define @t96 () (tptp.in @t88 @t2)) % 45.24/45.47 (define @t97 () (tptp.relation_dom @t1)) % 45.24/45.47 (define @t98 () (@list @t88)) % 45.24/45.47 (define @t99 () (tptp.in @t75 @t41)) % 45.24/45.47 (define @t100 () (@list @t75)) % 45.24/45.47 (define @t101 () (tptp.relation_image @t1 @t2)) % 45.24/45.47 (define @t102 () (= @t41 @t101)) % 45.24/45.47 (define @t103 () (and @t40 @t36)) % 45.24/45.47 (define @t104 () (tptp.in @t88 @t1)) % 45.24/45.47 (define @t105 () (tptp.relation_rng_restriction @t1 @t2)) % 45.24/45.47 (define @t106 () (@list @t41)) % 45.24/45.47 (define @t107 () (tptp.relation_field @t1)) % 45.24/45.47 (define @t108 () (tptp.antisymmetric @t1)) % 45.24/45.47 (define @t109 () (tptp.apply @t1 @t75)) % 45.24/45.47 (define @t110 () (tptp.in @t75 @t97)) % 45.24/45.47 (define @t111 () (= @t41 (tptp.relation_inverse_image @t1 @t2))) % 45.24/45.47 (define @t112 () (tptp.disjoint @t2 @t88)) % 45.24/45.47 (define @t113 () (tptp.in @t75 @t88)) % 45.24/45.47 (define @t114 () (tptp.open_subset @t88 @t1)) % 45.24/45.47 (define @t115 () (not (and @t114 @t113 @t112))) % 45.24/45.47 (define @t116 () (tptp.powerset @t57)) % 45.24/45.47 (define @t117 () (tptp.element @t88 @t116)) % 45.24/45.47 (define @t118 () (forall @t98 (=> @t117 @t115))) % 45.24/45.47 (define @t119 () (= @t99 @t118)) % 45.24/45.47 (define @t120 () (tptp.in @t75 @t57)) % 45.24/45.47 (define @t121 () (=> @t120 @t119)) % 45.24/45.47 (define @t122 () (forall @t100 @t121)) % 45.24/45.47 (define @t123 () (tptp.topstr_closure @t1 @t2)) % 45.24/45.47 (define @t124 () (= @t41 @t123)) % 45.24/45.47 (define @t125 () (= @t124 @t122)) % 45.24/45.47 (define @t126 () (tptp.element @t41 @t116)) % 45.24/45.47 (define @t127 () (=> @t126 @t125)) % 45.24/45.47 (define @t128 () (forall @t106 @t127)) % 45.24/45.47 (define @t129 () (tptp.element @t2 @t116)) % 45.24/45.47 (define @t130 () (=> @t129 @t128)) % 45.24/45.47 (define @t131 () (forall @t11 @t130)) % 45.24/45.47 (define @t132 () (tptp.top_str @t1)) % 45.24/45.47 (define @t133 () (=> @t132 @t131)) % 45.24/45.47 (define @t134 () (forall @t13 @t133)) % 45.24/45.47 (define @t135 () (tptp.ordered_pair @t88 @t75)) % 45.24/45.47 (define @t136 () (tptp.connected @t1)) % 45.24/45.47 (define @t137 () (tptp.transitive @t1)) % 45.24/45.47 (define @t138 () (tptp.in @t88 @t75)) % 45.24/45.47 (define @t139 () (@list @t1 @t2 @t41 @t75)) % 45.24/45.47 (define @t140 () (tptp.relation_dom @t2)) % 45.24/45.47 (define @t141 () (tptp.relation_rng @t2)) % 45.24/45.47 (define @t142 () (tptp.function @t2)) % 45.24/45.47 (define @t143 () (tptp.in (tptp.ordered_pair @t2 @t75) @t1)) % 45.24/45.47 (define @t144 () (tptp.ordered_pair @t2 @t41)) % 45.24/45.47 (define @t145 () (tptp.in @t144 @t1)) % 45.24/45.47 (define @t146 () (@list @t2 @t41 @t75)) % 45.24/45.47 (define @t147 () (= @t41 tptp.empty_set)) % 45.24/45.47 (define @t148 () (tptp.quasi_total @t41 @t1 @t2)) % 45.24/45.47 (define @t149 () (= @t1 tptp.empty_set)) % 45.24/45.47 (define @t150 () (= @t2 tptp.empty_set)) % 45.24/45.47 (define @t151 () (tptp.relation_dom_as_subset @t1 @t2 @t41)) % 45.24/45.47 (define @t152 () (tptp.relation_of2_as_subset @t41 @t1 @t2)) % 45.24/45.47 (define @t153 () (tptp.the_L_join @t1)) % 45.24/45.47 (define @t154 () (tptp.join @t1 @t2 @t41)) % 45.24/45.47 (define @t155 () (and @t62 @t60)) % 45.24/45.47 (define @t156 () (= @t2 @t41)) % 45.24/45.47 (define @t157 () (= @t1 @t78)) % 45.24/45.47 (define @t158 () (exists @t95 (= @t1 @t144))) % 45.24/45.47 (define @t159 () (tptp.singleton @t1)) % 45.24/45.47 (define @t160 () (tptp.succ @t1)) % 45.24/45.47 (define @t161 () (tptp.the_topology @t1)) % 45.24/45.47 (define @t162 () (tptp.in @t2 @t161)) % 45.24/45.47 (define @t163 () (tptp.powerset @t116)) % 45.24/45.47 (define @t164 () (tptp.element @t2 @t163)) % 45.24/45.47 (define @t165 () (tptp.topological_space @t1)) % 45.24/45.47 (define @t166 () (tptp.in @t41 @t2)) % 45.24/45.47 (define @t167 () (tptp.is_reflexive_in @t1 @t2)) % 45.24/45.47 (define @t168 () (tptp.relation_of2 @t41 @t1 @t2)) % 45.24/45.47 (define @t169 () (= @t2 (tptp.set_meet @t1))) % 45.24/45.47 (define @t170 () (tptp.in @t41 @t75)) % 45.24/45.47 (define @t171 () (tptp.in @t75 @t1)) % 45.24/45.47 (define @t172 () (not @t149)) % 45.24/45.47 (define @t173 () (= @t75 @t2)) % 45.24/45.47 (define @t174 () (tptp.subset @t41 @t75)) % 45.24/45.47 (define @t175 () (tptp.relation_field @t2)) % 45.24/45.47 (define @t176 () (tptp.inclusion_relation @t1)) % 45.24/45.47 (define @t177 () (tptp.the_L_meet @t1)) % 45.24/45.47 (define @t178 () (tptp.meet @t1 @t2 @t41)) % 45.24/45.47 (define @t179 () (= @t2 @t75)) % 45.24/45.47 (define @t180 () (tptp.empty_carrier_subset @t1)) % 45.24/45.47 (define @t181 () (tptp.one_sorted_str @t1)) % 45.24/45.47 (define @t182 () (tptp.in @t78 @t1)) % 45.24/45.47 (define @t183 () (tptp.empty @t2)) % 45.24/45.47 (define @t184 () (not @t22)) % 45.24/45.47 (define @t185 () (not @t150)) % 45.24/45.47 (define @t186 () (tptp.well_founded_relation @t1)) % 45.24/45.47 (define @t187 () (@var "F" $$unsorted)) % 45.24/45.47 (define @t188 () (tptp.ordered_pair @t88 @t187)) % 45.24/45.47 (define @t189 () (tptp.in @t187 @t2)) % 45.24/45.47 (define @t190 () (@list @t88 @t187)) % 45.24/45.47 (define @t191 () (tptp.below @t1 @t2 @t41)) % 45.24/45.47 (define @t192 () (not @t166)) % 45.24/45.47 (define @t193 () (not @t156)) % 45.24/45.47 (define @t194 () (tptp.in @t2 @t41)) % 45.24/45.47 (define @t195 () (tptp.cast_as_carrier_subset @t1)) % 45.24/45.47 (define @t196 () (forall @t106 (=> @t77 @t166))) % 45.24/45.47 (define @t197 () (not @t147)) % 45.24/45.47 (define @t198 () (tptp.subset @t41 @t2)) % 45.24/45.47 (define @t199 () (tptp.is_well_founded_in @t1 @t2)) % 45.24/45.47 (define @t200 () (tptp.apply @t1 @t2)) % 45.24/45.47 (define @t201 () (= @t41 @t200)) % 45.24/45.47 (define @t202 () (tptp.in @t2 @t97)) % 45.24/45.47 (define @t203 () (tptp.in (tptp.ordered_pair @t75 @t41) @t1)) % 45.24/45.47 (define @t204 () (tptp.is_antisymmetric_in @t1 @t2)) % 45.24/45.47 (define @t205 () (tptp.cast_to_subset @t1)) % 45.24/45.47 (define @t206 () (tptp.union @t1)) % 45.24/45.47 (define @t207 () (tptp.reflexive @t1)) % 45.24/45.47 (define @t208 () (tptp.well_ordering @t1)) % 45.24/45.47 (define @t209 () (tptp.relation_rng @t41)) % 45.24/45.47 (define @t210 () (tptp.relation_dom @t41)) % 45.24/45.47 (define @t211 () (= @t210 @t1)) % 45.24/45.47 (define @t212 () (tptp.one_to_one @t41)) % 45.24/45.47 (define @t213 () (tptp.function @t41)) % 45.24/45.47 (define @t214 () (tptp.equipotent @t1 @t2)) % 45.24/45.47 (define @t215 () (tptp.set_difference @t1 @t2)) % 45.24/45.47 (define @t216 () (and @t110 (= @t41 @t109))) % 45.24/45.47 (define @t217 () (tptp.relation_rng @t1)) % 45.24/45.47 (define @t218 () (= @t2 @t217)) % 45.24/45.47 (define @t219 () (tptp.being_limit_ordinal @t1)) % 45.24/45.47 (define @t220 () (tptp.subset_complement @t1 @t2)) % 45.24/45.47 (define @t221 () (tptp.ordered_pair @t1 @t2)) % 45.24/45.47 (define @t222 () (tptp.is_connected_in @t1 @t2)) % 45.24/45.47 (define @t223 () (tptp.is_transitive_in @t1 @t2)) % 45.24/45.47 (define @t224 () (tptp.subset_difference @t57 @t195 @t2)) % 45.24/45.47 (define @t225 () (tptp.closed_subset @t2 @t1)) % 45.24/45.47 (define @t226 () (= @t225 (tptp.open_subset @t224 @t1))) % 45.24/45.47 (define @t227 () (forall @t11 (=> @t129 @t226))) % 45.24/45.47 (define @t228 () (=> @t132 @t227)) % 45.24/45.47 (define @t229 () (forall @t13 @t228)) % 45.24/45.47 (define @t230 () (tptp.cartesian_product2 @t2 @t2)) % 45.24/45.47 (define @t231 () (tptp.relation_restriction @t1 @t2)) % 45.24/45.47 (define @t232 () (tptp.relation_inverse @t1)) % 45.24/45.47 (define @t233 () (tptp.apply @t41 @t88)) % 45.24/45.47 (define @t234 () (tptp.apply @t41 @t75)) % 45.24/45.47 (define @t235 () (tptp.relation_isomorphism @t1 @t2 @t41)) % 45.24/45.47 (define @t236 () (and @t42 @t213)) % 45.24/45.47 (define @t237 () (tptp.disjoint @t1 @t2)) % 45.24/45.47 (define @t238 () (tptp.meet_absorbing @t1)) % 45.24/45.47 (define @t239 () (tptp.latt_str @t1)) % 45.24/45.47 (define @t240 () (@list @t187)) % 45.24/45.47 (define @t241 () (tptp.relation_composition @t1 @t2)) % 45.24/45.47 (define @t242 () (@list @t41 @t75 @t88)) % 45.24/45.47 (define @t243 () (tptp.complements_of_subsets @t1 @t2)) % 45.24/45.47 (define @t244 () (tptp.powerset @t24)) % 45.24/45.47 (define @t245 () (tptp.element @t2 @t244)) % 45.24/45.47 (define @t246 () (not @t86)) % 45.24/45.47 (define @t247 () (tptp.function_inverse @t1)) % 45.24/45.47 (define @t248 () (tptp.apply_binary_as_element @t1 @t2 @t41 @t75 @t88 @t187)) % 45.24/45.47 (define @t249 () (tptp.function @t75)) % 45.24/45.47 (define @t250 () (not @t183)) % 45.24/45.47 (define @t251 () (and @t184 @t250 @t249 (tptp.quasi_total @t75 @t43 @t41) (tptp.relation_of2 @t75 @t43 @t41) (tptp.element @t88 @t1) (tptp.element @t187 @t2))) % 45.24/45.47 (define @t252 () (@list @t1 @t2 @t41 @t75 @t88 @t187)) % 45.24/45.47 (define @t253 () (tptp.element @t220 @t24)) % 45.24/45.47 (define @t254 () (forall @t6 (=> @t25 @t253))) % 45.24/45.47 (define @t255 () (tptp.relation @t232)) % 45.24/45.47 (define @t256 () (tptp.relation @t241)) % 45.24/45.47 (define @t257 () (and @t40 @t83)) % 45.24/45.47 (define @t258 () (tptp.powerset @t2)) % 45.24/45.47 (define @t259 () (tptp.relation_rng_as_subset @t1 @t2 @t41)) % 45.24/45.47 (define @t260 () (tptp.union_of_subsets @t1 @t2)) % 45.24/45.47 (define @t261 () (tptp.relation @t81)) % 45.24/45.47 (define @t262 () (tptp.meet_of_subsets @t1 @t2)) % 45.24/45.47 (define @t263 () (tptp.subset_difference @t1 @t2 @t41)) % 45.24/45.47 (define @t264 () (tptp.relation @t94)) % 45.24/45.47 (define @t265 () (tptp.relation @t105)) % 45.24/45.47 (define @t266 () (forall @t13 (=> @t132 @t181))) % 45.24/45.47 (define @t267 () (tptp.cartesian_product2 @t57 @t57)) % 45.24/45.47 (define @t268 () (tptp.finite @t65)) % 45.24/45.47 (define @t269 () (tptp.relation_composition @t2 @t1)) % 45.24/45.47 (define @t270 () (and @t22 @t83)) % 45.24/45.47 (define @t271 () (tptp.relation_empty_yielding tptp.empty_set)) % 45.24/45.47 (define @t272 () (tptp.relation tptp.empty_set)) % 45.24/45.47 (define @t273 () (tptp.empty tptp.empty_set)) % 45.24/45.47 (define @t274 () (tptp.relation_empty_yielding @t1)) % 45.24/45.47 (define @t275 () (and @t40 @t274)) % 45.24/45.47 (define @t276 () (not (tptp.empty @t159))) % 45.24/45.47 (define @t277 () (not (tptp.empty @t24))) % 45.24/45.47 (define @t278 () (not (tptp.empty @t160))) % 45.24/45.47 (define @t279 () (and @t62 @t181)) % 45.24/45.47 (define @t280 () (tptp.v1_membered @t65)) % 45.24/45.47 (define @t281 () (tptp.v1_membered @t64)) % 45.24/45.47 (define @t282 () (tptp.v2_membered @t65)) % 45.24/45.47 (define @t283 () (tptp.ordinal @t160)) % 45.24/45.47 (define @t284 () (tptp.epsilon_connected @t160)) % 45.24/45.47 (define @t285 () (tptp.epsilon_transitive @t160)) % 45.24/45.47 (define @t286 () (tptp.v2_membered @t64)) % 45.24/45.47 (define @t287 () (tptp.v3_membered @t65)) % 45.24/45.47 (define @t288 () (tptp.v3_membered @t64)) % 45.24/45.47 (define @t289 () (tptp.v4_membered @t65)) % 45.24/45.47 (define @t290 () (tptp.v4_membered @t64)) % 45.24/45.47 (define @t291 () (tptp.v1_membered @t215)) % 45.24/45.47 (define @t292 () (tptp.v2_membered @t215)) % 45.24/45.47 (define @t293 () (tptp.v3_membered @t215)) % 45.24/45.47 (define @t294 () (tptp.v4_membered @t215)) % 45.24/45.47 (define @t295 () (and @t83 @t142)) % 45.24/45.47 (define @t296 () (and @t165 @t132)) % 45.24/45.47 (define @t297 () (tptp.empty @t97)) % 45.24/45.47 (define @t298 () (and @t184 @t40)) % 45.24/45.47 (define @t299 () (tptp.empty @t217)) % 45.24/45.47 (define @t300 () (tptp.subset_complement @t1 @t220)) % 45.24/45.47 (define @t301 () (=> @t25 (= @t300 @t2))) % 45.24/45.47 (define @t302 () (forall @t6 @t301)) % 45.24/45.47 (define @t303 () (tptp.in @t2 @t107)) % 45.24/45.47 (define @t304 () (tptp.disjoint @t159 @t2)) % 45.24/45.47 (define @t305 () (not @t5)) % 45.24/45.47 (define @t306 () (tptp.well_ordering @t2)) % 45.24/45.47 (define @t307 () (tptp.in (tptp.ordered_pair @t41 @t2) @t1)) % 45.24/45.47 (define @t308 () (tptp.singleton @t41)) % 45.24/45.47 (define @t309 () (not @t145)) % 45.24/45.47 (define @t310 () (tptp.singleton @t2)) % 45.24/45.47 (define @t311 () (tptp.union @t2)) % 45.24/45.47 (define @t312 () (tptp.in @t1 @t41)) % 45.24/45.47 (define @t313 () (tptp.element @t1 @t258)) % 45.24/45.47 (define @t314 () (tptp.relation_dom_restriction @t41 @t1)) % 45.24/45.47 (define @t315 () (tptp.in @t2 (tptp.relation_dom @t314))) % 45.24/45.47 (define @t316 () (tptp.one_to_one @t2)) % 45.24/45.47 (define @t317 () (tptp.set_intersection2 @t2 @t41)) % 45.24/45.47 (define @t318 () (tptp.set_difference @t2 @t41)) % 45.24/45.47 (define @t319 () (@var "K" $$unsorted)) % 45.24/45.47 (define @t320 () (@var "J" $$unsorted)) % 45.24/45.47 (define @t321 () (tptp.in @t319 @t320)) % 45.24/45.47 (define @t322 () (@list @t319)) % 45.24/45.47 (define @t323 () (@list @t320)) % 45.24/45.47 (define @t324 () (= @t75 @t88)) % 45.24/45.47 (define @t325 () (@var "I" $$unsorted)) % 45.24/45.47 (define @t326 () (@var "H" $$unsorted)) % 45.24/45.47 (define @t327 () (tptp.in @t325 @t326)) % 45.24/45.47 (define @t328 () (@list @t325)) % 45.24/45.47 (define @t329 () (@list @t326)) % 45.24/45.47 (define @t330 () (exists @t329 (and (= @t41 @t326) (tptp.in @t88 @t326) (forall @t328 (=> @t327 (tptp.in (tptp.ordered_pair @t88 @t325) @t2)))))) % 45.24/45.47 (define @t331 () (@var "G" $$unsorted)) % 45.24/45.47 (define @t332 () (tptp.in @t331 @t187)) % 45.24/45.47 (define @t333 () (@list @t331)) % 45.24/45.47 (define @t334 () (exists @t240 (and (= @t41 @t187) (tptp.in @t75 @t187) (forall @t333 (=> @t332 (tptp.in (tptp.ordered_pair @t75 @t331) @t2)))))) % 45.24/45.47 (define @t335 () (forall @t242 (=> (and @t77 @t334 @t77 @t330) @t324))) % 45.24/45.47 (define @t336 () (and @t184 @t83)) % 45.24/45.47 (define @t337 () (= @t75 @t310)) % 45.24/45.47 (define @t338 () (= @t41 @t310)) % 45.24/45.47 (define @t339 () (forall @t146 (=> (and @t3 @t338 @t3 @t337) @t76))) % 45.24/45.47 (define @t340 () (tptp.ordinal @t41)) % 45.24/45.47 (define @t341 () (@var "S" $$unsorted)) % 45.24/45.47 (define @t342 () (@var "T" $$unsorted)) % 45.24/45.47 (define @t343 () (@var "R" $$unsorted)) % 45.24/45.47 (define @t344 () (tptp.powerset (tptp.powerset @t75))) % 45.24/45.47 (define @t345 () (@list @t343)) % 45.24/45.47 (define @t346 () (tptp.in @t75 tptp.omega)) % 45.24/45.47 (define @t347 () (tptp.ordinal @t75)) % 45.24/45.47 (define @t348 () (@var "P" $$unsorted)) % 45.24/45.47 (define @t349 () (@var "Q" $$unsorted)) % 45.24/45.47 (define @t350 () (@var "O" $$unsorted)) % 45.24/45.47 (define @t351 () (@list @t349)) % 45.24/45.47 (define @t352 () (@list @t348)) % 45.24/45.47 (define @t353 () (@list @t350)) % 45.24/45.47 (define @t354 () (@var "M" $$unsorted)) % 45.24/45.47 (define @t355 () (@var "N" $$unsorted)) % 45.24/45.47 (define @t356 () (@var "L" $$unsorted)) % 45.24/45.47 (define @t357 () (@list @t355)) % 45.24/45.47 (define @t358 () (tptp.in @t354 @t356)) % 45.24/45.47 (define @t359 () (@list @t354)) % 45.24/45.47 (define @t360 () (@list @t356)) % 45.24/45.47 (define @t361 () (tptp.succ @t75)) % 45.24/45.47 (define @t362 () (=> @t346 (forall @t98 (=> (tptp.element @t88 @t344) (not (and (not (= @t88 tptp.empty_set)) (forall @t240 (not (and (tptp.in @t187 @t88) (forall @t333 (=> (and (tptp.in @t331 @t88) (tptp.subset @t187 @t331)) (= @t331 @t187)))))))))))) % 45.24/45.47 (define @t363 () (tptp.subset @t2 @t41)) % 45.24/45.47 (define @t364 () (tptp.powerset tptp.empty_set)) % 45.24/45.47 (define @t365 () (tptp.apply @t41 @t187)) % 45.24/45.47 (define @t366 () (tptp.in @t187 @t1)) % 45.24/45.47 (define @t367 () (tptp.relation @t75)) % 45.24/45.47 (define @t368 () (and @t83 @t42 @t213)) % 45.24/45.47 (define @t369 () (forall @t322 (=> @t321 (tptp.in (tptp.ordered_pair @t75 @t319) @t2)))) % 45.24/45.47 (define @t370 () (tptp.in @t75 @t320)) % 45.24/45.47 (define @t371 () (= @t187 @t88)) % 45.24/45.47 (define @t372 () (tptp.cartesian_product2 @t1 @t41)) % 45.24/45.47 (define @t373 () (= @t88 @t187)) % 45.24/45.47 (define @t374 () (tptp.ordered_pair @t319 @t356)) % 45.24/45.47 (define @t375 () (@list @t319 @t356)) % 45.24/45.47 (define @t376 () (= @t75 @t187)) % 45.24/45.47 (define @t377 () (tptp.in @t320 @t325)) % 45.24/45.47 (define @t378 () (tptp.in @t331 @t1)) % 45.24/45.47 (define @t379 () (tptp.ordered_pair @t331 @t326)) % 45.24/45.47 (define @t380 () (@list @t331 @t326)) % 45.24/45.47 (define @t381 () (@list @t75 @t88 @t187)) % 45.24/45.47 (define @t382 () (= @t88 @t75)) % 45.24/45.47 (define @t383 () (tptp.in @t326 @t1)) % 45.24/45.47 (define @t384 () (= @t41 @t88)) % 45.24/45.47 (define @t385 () (tptp.ordered_pair @t187 @t331)) % 45.24/45.47 (define @t386 () (@list @t187 @t331)) % 45.24/45.47 (define @t387 () (= @t75 @t41)) % 45.24/45.47 (define @t388 () (not (and (not (= @t187 tptp.empty_set)) (forall @t333 (not (and @t332 (forall @t329 (=> (and (tptp.in @t326 @t187) (tptp.subset @t331 @t326)) (= @t326 @t331))))))))) % 45.24/45.47 (define @t389 () (tptp.ordinal @t88)) % 45.24/45.47 (define @t390 () (tptp.subset @t2 @t75)) % 45.24/45.47 (define @t391 () (tptp.in @t88 @t116)) % 45.24/45.47 (define @t392 () (and @t165 @t132 @t129)) % 45.24/45.47 (define @t393 () (tptp.in (tptp.set_difference @t195 @t75) @t2)) % 45.24/45.47 (define @t394 () (and @t165 @t132 @t164)) % 45.24/45.47 (define @t395 () (and @t32 (tptp.element @t2 (tptp.powerset (tptp.powerset @t160))))) % 45.24/45.47 (define @t396 () (tptp.cartesian_product2 @t1 @t1)) % 45.24/45.47 (define @t397 () (tptp.apply @t41 @t331)) % 45.24/45.47 (define @t398 () (tptp.in (tptp.relation_image @t41 @t88) @t2)) % 45.24/45.47 (define @t399 () (tptp.powerset @t210)) % 45.24/45.47 (define @t400 () (and @t245 @t42 @t213)) % 45.24/45.47 (define @t401 () (tptp.succ @t2)) % 45.24/45.47 (define @t402 () (exists @t98 (and @t117 @t382 (tptp.closed_subset @t88 @t1) @t390))) % 45.24/45.47 (define @t403 () (tptp.in @t75 @t116)) % 45.24/45.47 (define @t404 () (tptp.apply @t2 @t41)) % 45.24/45.47 (define @t405 () (= @t140 @t1)) % 45.24/45.47 (define @t406 () (exists @t11 (and @t83 @t142 @t405 (forall @t106 (=> @t77 (= @t404 @t308)))))) % 45.24/45.47 (define @t407 () (tptp.in @t1 tptp.omega)) % 45.24/45.47 (define @t408 () (tptp.element @t75 @t116)) % 45.24/45.47 (define @t409 () (tptp.element @t41 @t163)) % 45.24/45.47 (define @t410 () (= @t1 @t41)) % 45.24/45.47 (define @t411 () (tptp.relation_rng @t105)) % 45.24/45.47 (define @t412 () (forall @t106 (not (and @t198 (not (tptp.are_equipotent @t41 @t2)) @t192)))) % 45.24/45.47 (define @t413 () (tptp.powerset @t41)) % 45.24/45.47 (define @t414 () (forall @t80 (=> (and @t166 (tptp.subset @t75 @t41)) @t91))) % 45.24/45.47 (define @t415 () (tptp.relation_dom_restriction @t41 @t2)) % 45.24/45.47 (define @t416 () (tptp.relation_image @t2 @t1)) % 45.24/45.47 (define @t417 () (tptp.relation_inverse_image @t2 @t1)) % 45.24/45.47 (define @t418 () (tptp.relation_image @t2 @t417)) % 45.24/45.47 (define @t419 () (tptp.set_intersection2 @t140 @t1)) % 45.24/45.47 (define @t420 () (tptp.subset @t1 @t141)) % 45.24/45.47 (define @t421 () (tptp.relation_of2_as_subset @t75 @t41 @t2)) % 45.24/45.47 (define @t422 () (tptp.relation_rng @t75)) % 45.24/45.47 (define @t423 () (tptp.relation_of2_as_subset @t75 @t41 @t1)) % 45.24/45.47 (define @t424 () (tptp.relation_rng @t241)) % 45.24/45.47 (define @t425 () (tptp.relation_inverse_image @t41 @t2)) % 45.24/45.47 (define @t426 () (tptp.relation_restriction @t41 @t2)) % 45.24/45.47 (define @t427 () (tptp.subset_complement @t57 @t2)) % 45.24/45.47 (define @t428 () (=> @t129 (= @t427 @t224))) % 45.24/45.47 (define @t429 () (forall @t11 @t428)) % 45.24/45.47 (define @t430 () (=> @t181 @t429)) % 45.24/45.47 (define @t431 () (forall @t13 @t430)) % 45.24/45.47 (define @t432 () (tptp.relation_restriction @t2 @t1)) % 45.24/45.47 (define @t433 () (tptp.relation_dom_restriction @t2 @t1)) % 45.24/45.47 (define @t434 () (tptp.relation_field @t41)) % 45.24/45.47 (define @t435 () (tptp.in @t1 @t434)) % 45.24/45.47 (define @t436 () (tptp.subset @t1 @t41)) % 45.24/45.47 (define @t437 () (tptp.element @t1 @t2)) % 45.24/45.47 (define @t438 () (forall @t6 (=> @t5 @t437))) % 45.24/45.47 (define @t439 () (tptp.in @t1 @t210)) % 45.24/45.47 (define @t440 () (tptp.in @t221 @t41)) % 45.24/45.47 (define @t441 () (tptp.relation_field @t432)) % 45.24/45.47 (define @t442 () (tptp.apply @t41 @t1)) % 45.24/45.47 (define @t443 () (tptp.relation_composition @t41 @t2)) % 45.24/45.47 (define @t444 () (tptp.in @t1 (tptp.relation_dom @t443))) % 45.24/45.47 (define @t445 () (tptp.apply @t75 @t41)) % 45.24/45.47 (define @t446 () (and @t249 (tptp.quasi_total @t75 @t1 @t2) (tptp.relation_of2_as_subset @t75 @t1 @t2))) % 45.24/45.47 (define @t447 () (tptp.reflexive @t2)) % 45.24/45.47 (define @t448 () (tptp.connected @t2)) % 45.24/45.47 (define @t449 () (tptp.transitive @t2)) % 45.24/45.47 (define @t450 () (tptp.antisymmetric @t2)) % 45.24/45.47 (define @t451 () (tptp.well_ordering @t432)) % 45.24/45.47 (define @t452 () (= @t441 @t1)) % 45.24/45.47 (define @t453 () (tptp.well_orders @t2 @t1)) % 45.24/45.47 (define @t454 () (tptp.well_founded_relation @t2)) % 45.24/45.47 (define @t455 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 45.24/45.47 (define @t456 () (and @t77 @t166)) % 45.24/45.47 (define @t457 () (exists @t106 @t456)) % 45.24/45.47 (define @t458 () (and @t457 @t237)) % 45.24/45.47 (define @t459 () (not @t458)) % 45.24/45.47 (define @t460 () (forall @t106 (not @t456))) % 45.24/45.47 (define @t461 () (not @t237)) % 45.24/45.47 (define @t462 () (and @t461 @t460)) % 45.24/45.47 (define @t463 () (not @t462)) % 45.24/45.47 (define @t464 () (and @t463 @t459)) % 45.24/45.47 (define @t465 () (forall @t6 @t464)) % 45.24/45.47 (define @t466 () (= @t1 @t401)) % 45.24/45.47 (define @t467 () (tptp.subset_complement @t1 @t41)) % 45.24/45.47 (define @t468 () (tptp.disjoint @t2 @t41)) % 45.24/45.47 (define @t469 () (= @t468 (tptp.subset @t2 @t467))) % 45.24/45.47 (define @t470 () (forall @t106 (=> @t71 @t469))) % 45.24/45.47 (define @t471 () (=> @t25 @t470)) % 45.24/45.47 (define @t472 () (forall @t6 @t471)) % 45.24/45.47 (define @t473 () (tptp.closed_subset (tptp.meet_of_subsets @t57 @t2) @t1)) % 45.24/45.47 (define @t474 () (tptp.closed_subset @t41 @t1)) % 45.24/45.47 (define @t475 () (=> @t166 @t474)) % 45.24/45.47 (define @t476 () (forall @t106 (=> @t126 @t475))) % 45.24/45.47 (define @t477 () (=> @t476 @t473)) % 45.24/45.47 (define @t478 () (=> @t164 @t477)) % 45.24/45.47 (define @t479 () (forall @t11 @t478)) % 45.24/45.47 (define @t480 () (=> @t296 @t479)) % 45.24/45.47 (define @t481 () (forall @t13 @t480)) % 45.24/45.47 (define @t482 () (tptp.relation_dom @t241)) % 45.24/45.47 (define @t483 () (tptp.closed_subset @t75 @t1)) % 45.24/45.47 (define @t484 () (and @t483 @t390)) % 45.24/45.47 (define @t485 () (tptp.meet_of_subsets @t57 @t41)) % 45.24/45.47 (define @t486 () (= @t123 @t485)) % 45.24/45.47 (define @t487 () (= @t99 @t484)) % 45.24/45.47 (define @t488 () (forall @t100 (=> @t408 @t487))) % 45.24/45.47 (define @t489 () (and @t409 @t488 @t486)) % 45.24/45.47 (define @t490 () (exists @t106 @t489)) % 45.24/45.47 (define @t491 () (=> @t129 @t490)) % 45.24/45.47 (define @t492 () (forall @t11 @t491)) % 45.24/45.47 (define @t493 () (=> @t296 @t492)) % 45.24/45.47 (define @t494 () (forall @t13 @t493)) % 45.24/45.47 (define @t495 () (tptp.element @t2 @t413)) % 45.24/45.47 (define @t496 () (tptp.in @t41 @t65)) % 45.24/45.47 (define @t497 () (tptp.in @t41 @t220)) % 45.24/45.47 (define @t498 () (=> @t192 @t497)) % 45.24/45.47 (define @t499 () (tptp.element @t41 @t1)) % 45.24/45.47 (define @t500 () (forall @t106 (=> @t499 @t498))) % 45.24/45.47 (define @t501 () (=> @t25 @t500)) % 45.24/45.47 (define @t502 () (forall @t11 @t501)) % 45.24/45.47 (define @t503 () (=> @t172 @t502)) % 45.24/45.47 (define @t504 () (forall @t13 @t503)) % 45.24/45.47 (define @t505 () (= @t123 @t2)) % 45.24/45.47 (define @t506 () (and @t165 @t505)) % 45.24/45.47 (define @t507 () (=> @t506 @t225)) % 45.24/45.47 (define @t508 () (=> @t225 @t505)) % 45.24/45.47 (define @t509 () (and @t508 @t507)) % 45.24/45.47 (define @t510 () (=> @t129 @t509)) % 45.24/45.47 (define @t511 () (forall @t11 @t510)) % 45.24/45.47 (define @t512 () (=> @t132 @t511)) % 45.24/45.47 (define @t513 () (forall @t13 @t512)) % 45.24/45.47 (define @t514 () (not @t513)) % 45.24/45.47 (define @t515 () (and (tptp.in @t41 @t217) (= @t75 @t404))) % 45.24/45.47 (define @t516 () (tptp.function_inverse @t2)) % 45.24/45.47 (define @t517 () (= @t217 tptp.empty_set)) % 45.24/45.47 (define @t518 () (= @t97 tptp.empty_set)) % 45.24/45.47 (define @t519 () (= (tptp.apply @t314 @t2) (tptp.apply @t41 @t2))) % 45.24/45.47 (define @t520 () (forall @t6 (not (and @t5 @t183)))) % 45.24/45.47 (define @t521 () (= @t159 (tptp.unordered_pair @t2 @t41))) % 45.24/45.47 (define @t522 () (@var "BOUND_VARIABLE_16584" $$unsorted)) % 45.24/45.47 (define @t523 () (tptp.closed_subset (tptp.meet_of_subsets @t57 @t522) @t1)) % 45.24/45.47 (define @t524 () (not @t126)) % 45.24/45.47 (define @t525 () (not (forall @t106 (or @t524 (not (tptp.in @t41 @t522)) @t474)))) % 45.24/45.47 (define @t526 () (not (tptp.element @t522 @t163))) % 45.24/45.47 (define @t527 () (not @t132)) % 45.24/45.47 (define @t528 () (not @t165)) % 45.24/45.47 (define @t529 () (or @t526 @t525 @t523)) % 45.24/45.47 (define @t530 () (or @t528 @t527 @t529)) % 45.24/45.47 (define @t531 () (forall (@list @t1 @t522) @t530)) % 45.24/45.47 (define @t532 () (@list @t522)) % 45.24/45.47 (define @t533 () (forall @t532 @t530)) % 45.24/45.47 (define @t534 () (forall @t532 @t529)) % 45.24/45.47 (define @t535 () (@list @t2)) % 45.24/45.47 (define @t536 () (or @t528 @t527 @t534)) % 45.24/45.47 (define @t537 () (or @t524 @t192 @t474)) % 45.24/45.47 (define @t538 () (forall @t106 @t537)) % 45.24/45.47 (define @t539 () (not @t538)) % 45.24/45.47 (define @t540 () (not @t164)) % 45.24/45.47 (define @t541 () (or @t540 @t539 @t473)) % 45.24/45.47 (define @t542 () (forall @t11 @t541)) % 45.24/45.47 (define @t543 () (or @t528 @t527 @t542)) % 45.24/45.47 (define @t544 () (or @t528 @t527)) % 45.24/45.47 (define @t545 () (not @t296)) % 45.24/45.47 (define @t546 () (=> @t538 @t473)) % 45.24/45.47 (define @t547 () (@var "BOUND_VARIABLE_17032" $$unsorted)) % 45.24/45.47 (define @t548 () (tptp.closed_subset @t547 @t1)) % 45.24/45.47 (define @t549 () (= @t547 (tptp.topstr_closure @t1 @t547))) % 45.24/45.47 (define @t550 () (and (or (not @t548) @t549) (or @t528 (not @t549) @t548))) % 45.24/45.47 (define @t551 () (not (tptp.element @t547 @t116))) % 45.24/45.47 (define @t552 () (or @t527 @t551 @t550)) % 45.24/45.47 (define @t553 () (@list @t1 @t547)) % 45.24/45.47 (define @t554 () (forall @t553 @t552)) % 45.24/45.47 (define @t555 () (@quantifiers_skolemize @t554 0)) % 45.24/45.47 (define @t556 () (tptp.the_carrier @t555)) % 45.24/45.47 (define @t557 () (tptp.meet_of_subsets @t556 @t41)) % 45.24/45.47 (define @t558 () (@quantifiers_skolemize @t554 1)) % 45.24/45.47 (define @t559 () (tptp.topstr_closure @t555 @t558)) % 45.24/45.47 (define @t560 () (and (tptp.closed_subset @t75 @t555) (tptp.subset @t558 @t75))) % 45.24/45.47 (define @t561 () (tptp.powerset @t556)) % 45.24/45.47 (define @t562 () (not (tptp.element @t75 @t561))) % 45.24/45.47 (define @t563 () (not (forall @t100 (or @t562 (= @t99 @t560))))) % 45.24/45.47 (define @t564 () (tptp.powerset @t561)) % 45.24/45.47 (define @t565 () (not (tptp.element @t41 @t564))) % 45.24/45.47 (define @t566 () (forall @t106 (or @t565 @t563 (not (= @t559 @t557))))) % 45.24/45.47 (define @t567 () (@quantifiers_skolemize @t566 0)) % 45.24/45.47 (define @t568 () (@var "BOUND_VARIABLE_16738" $$unsorted)) % 45.24/45.47 (define @t569 () (tptp.topstr_closure @t1 @t568)) % 45.24/45.47 (define @t570 () (not (= @t569 @t485))) % 45.24/45.47 (define @t571 () (not @t408)) % 45.24/45.47 (define @t572 () (not (forall @t100 (or @t571 (= @t99 (and @t483 (tptp.subset @t568 @t75))))))) % 45.24/45.47 (define @t573 () (not @t409)) % 45.24/45.47 (define @t574 () (or @t573 @t572 @t570)) % 45.24/45.47 (define @t575 () (forall @t106 @t574)) % 45.24/45.47 (define @t576 () (not @t575)) % 45.24/45.47 (define @t577 () (not (tptp.element @t568 @t116))) % 45.24/45.47 (define @t578 () (or @t528 @t527 @t577 @t576)) % 45.24/45.47 (define @t579 () (or @t577 @t576)) % 45.24/45.47 (define @t580 () (or @t528 @t527 @t579)) % 45.24/45.47 (define @t581 () (@list @t1 @t568)) % 45.24/45.47 (define @t582 () (forall @t581 @t580)) % 45.24/45.47 (define @t583 () (@list @t568)) % 45.24/45.47 (define @t584 () (forall @t583 @t580)) % 45.24/45.47 (define @t585 () (forall @t583 @t579)) % 45.24/45.47 (define @t586 () (or @t528 @t527 @t585)) % 45.24/45.47 (define @t587 () (not @t486)) % 45.24/45.47 (define @t588 () (forall @t100 (or @t571 @t487))) % 45.24/45.47 (define @t589 () (not @t588)) % 45.24/45.47 (define @t590 () (or @t573 @t589 @t587)) % 45.24/45.47 (define @t591 () (not (forall @t106 @t590))) % 45.24/45.47 (define @t592 () (not @t129)) % 45.24/45.47 (define @t593 () (forall @t11 (or @t592 @t591))) % 45.24/45.47 (define @t594 () (or @t528 @t527 @t593)) % 45.24/45.47 (define @t595 () (and @t409 @t588 @t486)) % 45.24/45.47 (define @t596 () (forall @t106 (not @t595))) % 45.24/45.47 (define @t597 () (not @t596)) % 45.24/45.47 (define @t598 () (not (= @t557 @t559))) % 45.24/45.47 (define @t599 () (or @t565 @t563 @t598)) % 45.24/45.47 (define @t600 () (forall @t106 @t599)) % 45.24/45.47 (define @t601 () (not @t600)) % 45.24/45.47 (define @t602 () (tptp.element @t558 @t561)) % 45.24/45.47 (define @t603 () (not @t602)) % 45.24/45.47 (define @t604 () (tptp.top_str @t555)) % 45.24/45.47 (define @t605 () (not @t604)) % 45.24/45.47 (define @t606 () (tptp.topological_space @t555)) % 45.24/45.47 (define @t607 () (not @t606)) % 45.24/45.47 (define @t608 () (or @t607 @t605 @t603 @t601)) % 45.24/45.47 (define @t609 () (forall @t581 (or @t528 @t527 @t577 (not (forall @t106 (or @t573 @t572 (not (= @t485 @t569)))))))) % 45.24/45.47 (define @t610 () (@list @t555 @t558)) % 45.24/45.47 (define @t611 () (not @t566)) % 45.24/45.47 (define @t612 () (or @t607 @t605 @t603 @t611)) % 45.24/45.47 (define @t613 () (@list false)) % 45.24/45.47 (define @t614 () (tptp.closed_subset @t558 @t555)) % 45.24/45.47 (define @t615 () (= @t558 @t559)) % 45.24/45.47 (define @t616 () (not @t615)) % 45.24/45.47 (define @t617 () (or @t607 @t616 @t614)) % 45.24/45.47 (define @t618 () (not @t614)) % 45.24/45.47 (define @t619 () (@var "BOUND_VARIABLE_12433" $$unsorted)) % 45.24/45.47 (define @t620 () (= (tptp.closed_subset @t619 @t1) (tptp.open_subset (tptp.subset_difference @t57 @t195 @t619) @t1))) % 45.24/45.47 (define @t621 () (not (tptp.element @t619 @t116))) % 45.24/45.47 (define @t622 () (or @t621 @t620)) % 45.24/45.47 (define @t623 () (or @t527 @t622)) % 45.24/45.47 (define @t624 () (forall (@list @t1 @t619) @t623)) % 45.24/45.47 (define @t625 () (@list @t619)) % 45.24/45.47 (define @t626 () (forall @t625 @t623)) % 45.24/45.47 (define @t627 () (forall @t625 @t622)) % 45.24/45.47 (define @t628 () (or @t527 @t627)) % 45.24/45.47 (define @t629 () (forall @t11 (or @t592 @t226))) % 45.24/45.47 (define @t630 () (or @t551 @t550)) % 45.24/45.47 (define @t631 () (or @t527 @t630)) % 45.24/45.47 (define @t632 () (forall @t553 @t631)) % 45.24/45.47 (define @t633 () (@list @t547)) % 45.24/45.47 (define @t634 () (forall @t633 @t631)) % 45.24/45.47 (define @t635 () (forall @t633 @t630)) % 45.24/45.47 (define @t636 () (or @t527 @t635)) % 45.24/45.47 (define @t637 () (= @t2 @t123)) % 45.24/45.47 (define @t638 () (not @t637)) % 45.24/45.47 (define @t639 () (or @t528 @t638 @t225)) % 45.24/45.47 (define @t640 () (forall @t11 (or @t592 (and (or (not @t225) @t637) @t639)))) % 45.24/45.47 (define @t641 () (and @t165 @t637)) % 45.24/45.47 (define @t642 () (and (=> @t225 @t637) (=> @t641 @t225))) % 45.24/45.47 (define @t643 () (or @t618 @t615)) % 45.24/45.47 (define @t644 () (and @t643 @t617)) % 45.24/45.47 (define @t645 () (or @t605 @t603 @t644)) % 45.24/45.47 (define @t646 () (@list true)) % 45.24/45.47 (define @t647 () (@list @t645)) % 45.24/45.47 (define @t648 () (tptp.subset_difference @t556 (tptp.cast_as_carrier_subset @t555) @t558)) % 45.24/45.47 (define @t649 () (tptp.open_subset @t648 @t555)) % 45.24/45.47 (define @t650 () (= @t614 @t649)) % 45.24/45.47 (define @t651 () (or @t605 @t603 @t650)) % 45.24/45.47 (define @t652 () (@list false false false)) % 45.24/45.47 (define @t653 () (@var "BOUND_VARIABLE_11383" $$unsorted)) % 45.24/45.47 (define @t654 () (tptp.topstr_closure @t1 @t653)) % 45.24/45.47 (define @t655 () (@var "BOUND_VARIABLE_11385" $$unsorted)) % 45.24/45.47 (define @t656 () (= @t655 @t654)) % 45.24/45.47 (define @t657 () (not @t113)) % 45.24/45.47 (define @t658 () (not @t114)) % 45.24/45.47 (define @t659 () (not @t117)) % 45.24/45.47 (define @t660 () (not @t120)) % 45.24/45.47 (define @t661 () (forall @t100 (or @t660 (= (forall @t98 (or @t659 @t658 @t657 (not (tptp.disjoint @t653 @t88)))) (tptp.in @t75 @t655))))) % 45.24/45.47 (define @t662 () (= (= @t654 @t655) @t661)) % 45.24/45.47 (define @t663 () (not (tptp.element @t655 @t116))) % 45.24/45.47 (define @t664 () (not (tptp.element @t653 @t116))) % 45.24/45.47 (define @t665 () (or @t527 @t664 @t663 @t662)) % 45.24/45.47 (define @t666 () (or @t664 @t663 @t662)) % 45.24/45.47 (define @t667 () (or @t527 @t666)) % 45.24/45.47 (define @t668 () (@list @t1 @t653 @t655)) % 45.24/45.47 (define @t669 () (forall @t668 @t667)) % 45.24/45.47 (define @t670 () (@list @t653 @t655)) % 45.24/45.47 (define @t671 () (forall @t670 @t667)) % 45.24/45.47 (define @t672 () (forall @t670 @t666)) % 45.24/45.47 (define @t673 () (@var "BOUND_VARIABLE_11356" $$unsorted)) % 45.24/45.47 (define @t674 () (or @t527 @t672)) % 45.24/45.47 (define @t675 () (tptp.in @t75 @t673)) % 45.24/45.47 (define @t676 () (not @t112)) % 45.24/45.47 (define @t677 () (or @t659 @t658 @t657 @t676)) % 45.24/45.47 (define @t678 () (forall @t98 @t677)) % 45.24/45.47 (define @t679 () (not (tptp.element @t673 @t116))) % 45.24/45.47 (define @t680 () (@list @t2 @t673)) % 45.24/45.47 (define @t681 () (forall @t680 (or @t592 @t679 (= (= @t123 @t673) (forall @t100 (or @t660 (= @t678 @t675))))))) % 45.24/45.47 (define @t682 () (or @t660 (= @t675 @t678))) % 45.24/45.47 (define @t683 () (forall @t100 @t682)) % 45.24/45.47 (define @t684 () (= (= @t673 @t123) @t683)) % 45.24/45.47 (define @t685 () (or @t592 @t679 @t684)) % 45.24/45.47 (define @t686 () (or @t679 @t684)) % 45.24/45.47 (define @t687 () (or @t592 @t686)) % 45.24/45.47 (define @t688 () (forall @t680 @t687)) % 45.24/45.47 (define @t689 () (@list @t673)) % 45.24/45.47 (define @t690 () (forall @t689 @t687)) % 45.24/45.47 (define @t691 () (forall @t689 @t686)) % 45.24/45.47 (define @t692 () (@list @t41)) % 45.24/45.47 (define @t693 () (or @t592 @t691)) % 45.24/45.47 (define @t694 () (= @t99 @t678)) % 45.24/45.47 (define @t695 () (= @t124 (forall @t100 (or @t660 @t694)))) % 45.24/45.47 (define @t696 () (forall @t106 (or @t524 @t695))) % 45.24/45.47 (define @t697 () (or @t658 @t657 @t676)) % 45.24/45.47 (define @t698 () (not (tptp.disjoint @t558 @t88))) % 45.24/45.47 (define @t699 () (not (tptp.open_subset @t88 @t555))) % 45.24/45.47 (define @t700 () (not (tptp.element @t88 @t561))) % 45.24/45.47 (define @t701 () (forall @t100 (or (not (tptp.in @t75 @t556)) (= (forall @t98 (or @t700 @t699 @t657 @t698)) (tptp.in @t75 @t558))))) % 45.24/45.47 (define @t702 () (or @t605 @t603 @t603 (= @t701 @t615))) % 45.24/45.47 (define @t703 () (forall @t668 (or @t527 @t664 @t663 (= @t661 @t656)))) % 45.24/45.47 (define @t704 () (= @t615 @t701)) % 45.24/45.47 (define @t705 () (or @t605 @t603 @t603 @t704)) % 45.24/45.47 (define @t706 () (not @t701)) % 45.24/45.47 (define @t707 () (@quantifiers_skolemize @t701 0)) % 45.24/45.47 (define @t708 () (tptp.in @t707 @t558)) % 45.24/45.47 (define @t709 () (forall @t98 (or @t700 @t699 (not (tptp.in @t707 @t88)) @t698))) % 45.24/45.47 (define @t710 () (= @t709 @t708)) % 45.24/45.47 (define @t711 () (tptp.in @t707 @t556)) % 45.24/45.47 (define @t712 () (not @t711)) % 45.24/45.47 (define @t713 () (or @t712 @t710)) % 45.24/45.47 (define @t714 () (not @t713)) % 45.24/45.47 (define @t715 () (tptp.element @t707 @t556)) % 45.24/45.47 (define @t716 () (or @t712 @t715)) % 45.24/45.47 (define @t717 () (@quantifiers_skolemize @t709 0)) % 45.24/45.47 (define @t718 () (tptp.disjoint @t558 @t717)) % 45.24/45.47 (define @t719 () (not @t718)) % 45.24/45.47 (define @t720 () (tptp.in @t707 @t717)) % 45.24/45.47 (define @t721 () (not @t720)) % 45.24/45.47 (define @t722 () (or (not (tptp.element @t717 @t561)) (not (tptp.open_subset @t717 @t555)) @t721 @t719)) % 45.24/45.47 (define @t723 () (not @t722)) % 45.24/45.47 (define @t724 () (not @t709)) % 45.24/45.47 (define @t725 () (@var "BOUND_VARIABLE_16469" $$unsorted)) % 45.24/45.47 (define @t726 () (@var "BOUND_VARIABLE_16483" $$unsorted)) % 45.24/45.47 (define @t727 () (not (tptp.in @t726 @t725))) % 45.24/45.47 (define @t728 () (@var "BOUND_VARIABLE_16467" $$unsorted)) % 45.24/45.47 (define @t729 () (not (tptp.in @t726 @t728))) % 45.24/45.47 (define @t730 () (not (tptp.disjoint @t728 @t725))) % 45.24/45.47 (define @t731 () (or @t729 @t727)) % 45.24/45.47 (define @t732 () (or @t731 @t730)) % 45.24/45.47 (define @t733 () (forall (@list @t728 @t725 @t726) @t732)) % 45.24/45.47 (define @t734 () (@list @t726)) % 45.24/45.47 (define @t735 () (forall @t734 @t732)) % 45.24/45.47 (define @t736 () (@list @t728 @t725)) % 45.24/45.47 (define @t737 () (forall @t734 @t731)) % 45.24/45.47 (define @t738 () (or @t737 @t730)) % 45.24/45.47 (define @t739 () (forall @t736 (or (forall @t106 (or (not (tptp.in @t41 @t728)) (not (tptp.in @t41 @t725)))) @t730))) % 45.24/45.47 (define @t740 () (@var "BOUND_VARIABLE_16454" $$unsorted)) % 45.24/45.47 (define @t741 () (@var "BOUND_VARIABLE_16452" $$unsorted)) % 45.24/45.47 (define @t742 () (forall (@list @t741 @t740) (or (tptp.disjoint @t741 @t740) (not (forall @t106 (or (not (tptp.in @t41 @t741)) (not (tptp.in @t41 @t740)))))))) % 45.24/45.47 (define @t743 () (forall @t106 (or (not @t77) @t192))) % 45.24/45.47 (define @t744 () (or @t743 @t461)) % 45.24/45.47 (define @t745 () (forall @t6 @t744)) % 45.24/45.47 (define @t746 () (@list @t1 @t2)) % 45.24/45.47 (define @t747 () (not @t743)) % 45.24/45.47 (define @t748 () (or @t237 @t747)) % 45.24/45.47 (define @t749 () (forall @t6 @t748)) % 45.24/45.47 (define @t750 () (and @t749 @t745)) % 45.24/45.47 (define @t751 () (and (not (and @t461 @t743)) (not (and @t747 @t237)))) % 45.24/45.47 (define @t752 () (not @t460)) % 45.24/45.47 (define @t753 () (not @t708)) % 45.24/45.47 (define @t754 () (or @t719 @t753 @t721)) % 45.24/45.47 (define @t755 () (@list false false false true false)) % 45.24/45.47 (define @t756 () (tptp.disjoint @t558 @t648)) % 45.24/45.47 (define @t757 () (not @t756)) % 45.24/45.47 (define @t758 () (tptp.in @t707 @t648)) % 45.24/45.47 (define @t759 () (not @t758)) % 45.24/45.47 (define @t760 () (not @t649)) % 45.24/45.47 (define @t761 () (tptp.element @t648 @t561)) % 45.24/45.47 (define @t762 () (not @t761)) % 45.24/45.47 (define @t763 () (or @t762 @t760 @t759 @t757)) % 45.24/45.47 (define @t764 () (@var "BOUND_VARIABLE_16995" $$unsorted)) % 45.24/45.47 (define @t765 () (@var "BOUND_VARIABLE_16997" $$unsorted)) % 45.24/45.47 (define @t766 () (tptp.in @t765 (tptp.subset_complement @t1 @t764))) % 45.24/45.47 (define @t767 () (tptp.in @t765 @t764)) % 45.24/45.47 (define @t768 () (not (tptp.element @t765 @t1))) % 45.24/45.47 (define @t769 () (not (tptp.element @t764 @t24))) % 45.24/45.47 (define @t770 () (or @t149 @t769 @t768 @t767 @t766)) % 45.24/45.47 (define @t771 () (or @t769 @t768 @t767 @t766)) % 45.24/45.47 (define @t772 () (or @t149 @t771)) % 45.24/45.47 (define @t773 () (@list @t1 @t764 @t765)) % 45.24/45.47 (define @t774 () (forall @t773 @t772)) % 45.24/45.47 (define @t775 () (@list @t764 @t765)) % 45.24/45.47 (define @t776 () (forall @t775 @t772)) % 45.24/45.47 (define @t777 () (forall @t775 @t771)) % 45.24/45.47 (define @t778 () (@var "BOUND_VARIABLE_16979" $$unsorted)) % 45.24/45.47 (define @t779 () (or @t149 @t777)) % 45.24/45.47 (define @t780 () (tptp.in @t778 @t220)) % 45.24/45.47 (define @t781 () (tptp.in @t778 @t2)) % 45.24/45.47 (define @t782 () (not (tptp.element @t778 @t1))) % 45.24/45.47 (define @t783 () (not @t25)) % 45.24/45.47 (define @t784 () (or @t783 @t782 @t781 @t780)) % 45.24/45.47 (define @t785 () (@list @t2 @t778)) % 45.24/45.47 (define @t786 () (forall @t785 @t784)) % 45.24/45.47 (define @t787 () (or @t782 @t781 @t780)) % 45.24/45.47 (define @t788 () (or @t783 @t787)) % 45.24/45.47 (define @t789 () (forall @t785 @t788)) % 45.24/45.47 (define @t790 () (@list @t778)) % 45.24/45.47 (define @t791 () (forall @t790 @t788)) % 45.24/45.47 (define @t792 () (forall @t790 @t787)) % 45.24/45.47 (define @t793 () (or @t783 @t792)) % 45.24/45.47 (define @t794 () (not @t499)) % 45.24/45.47 (define @t795 () (or @t794 @t166 @t497)) % 45.24/45.47 (define @t796 () (forall @t106 @t795)) % 45.24/45.47 (define @t797 () (tptp.subset_complement @t556 @t558)) % 45.24/45.47 (define @t798 () (tptp.in @t707 @t797)) % 45.24/45.47 (define @t799 () (not @t715)) % 45.24/45.47 (define @t800 () (or (= @t556 tptp.empty_set) @t603 @t799 @t708 @t798)) % 45.24/45.47 (define @t801 () (forall @t773 @t770)) % 45.24/45.47 (define @t802 () (= tptp.empty_set @t556)) % 45.24/45.47 (define @t803 () (or @t802 @t603 @t799 @t708 @t798)) % 45.24/45.47 (define @t804 () (@list @t556 @t558)) % 45.24/45.47 (define @t805 () (tptp.element @t797 @t561)) % 45.24/45.47 (define @t806 () (or @t603 @t805)) % 45.24/45.47 (define @t807 () (@list false false)) % 45.24/45.47 (define @t808 () (@var "BOUND_VARIABLE_15804" $$unsorted)) % 45.24/45.47 (define @t809 () (= (tptp.subset_difference @t57 @t195 @t808) (tptp.subset_complement @t57 @t808))) % 45.24/45.47 (define @t810 () (not (tptp.element @t808 @t116))) % 45.24/45.47 (define @t811 () (not @t181)) % 45.24/45.47 (define @t812 () (or @t811 @t810 @t809)) % 45.24/45.47 (define @t813 () (or @t810 @t809)) % 45.24/45.47 (define @t814 () (or @t811 @t813)) % 45.24/45.47 (define @t815 () (@list @t1 @t808)) % 45.24/45.47 (define @t816 () (forall @t815 @t814)) % 45.24/45.47 (define @t817 () (@list @t808)) % 45.24/45.47 (define @t818 () (forall @t817 @t814)) % 45.24/45.47 (define @t819 () (forall @t817 @t813)) % 45.24/45.47 (define @t820 () (or @t811 @t819)) % 45.24/45.47 (define @t821 () (= @t224 @t427)) % 45.24/45.47 (define @t822 () (forall @t11 (or @t592 @t821))) % 45.24/45.47 (define @t823 () (tptp.one_sorted_str @t555)) % 45.24/45.47 (define @t824 () (not @t823)) % 45.24/45.47 (define @t825 () (or @t824 @t603 (= @t648 @t797))) % 45.24/45.47 (define @t826 () (forall @t815 @t812)) % 45.24/45.47 (define @t827 () (= @t797 @t648)) % 45.24/45.47 (define @t828 () (or @t824 @t603 @t827)) % 45.24/45.47 (define @t829 () (or @t605 @t823)) % 45.24/45.47 (define @t830 () (@var "BOUND_VARIABLE_16555" $$unsorted)) % 45.24/45.47 (define @t831 () (= (tptp.disjoint @t2 @t830) (tptp.subset @t2 (tptp.subset_complement @t1 @t830)))) % 45.24/45.47 (define @t832 () (not (tptp.element @t830 @t24))) % 45.24/45.47 (define @t833 () (or @t832 @t831)) % 45.24/45.47 (define @t834 () (or @t783 @t833)) % 45.24/45.47 (define @t835 () (forall (@list @t1 @t2 @t830) @t834)) % 45.24/45.47 (define @t836 () (@list @t830)) % 45.24/45.47 (define @t837 () (forall @t836 @t834)) % 45.24/45.47 (define @t838 () (forall @t836 @t833)) % 45.24/45.47 (define @t839 () (or @t783 @t838)) % 45.24/45.47 (define @t840 () (forall @t106 (or (not @t71) @t469))) % 45.24/45.47 (define @t841 () (tptp.subset_complement @t556 @t648)) % 45.24/45.47 (define @t842 () (tptp.subset @t558 @t841)) % 45.24/45.47 (define @t843 () (= @t756 @t842)) % 45.24/45.47 (define @t844 () (or @t603 @t762 @t843)) % 45.24/45.47 (define @t845 () (tptp.subset @t558 @t558)) % 45.24/45.47 (define @t846 () (and @t845 @t845)) % 45.24/45.47 (define @t847 () (= (= @t558 @t558) @t846)) % 45.24/45.47 (define @t848 () (= @t2 @t300)) % 45.24/45.47 (define @t849 () (= @t558 (tptp.subset_complement @t556 @t797))) % 45.24/45.47 (define @t850 () (or @t603 @t849)) % 45.24/45.47 (define @t851 () (and @t827 @t798)) % 45.24/45.47 (define @t852 () (not @t273)) % 45.24/45.47 (define @t853 () (tptp.in @t707 tptp.empty_set)) % 45.24/45.47 (define @t854 () (not @t853)) % 45.24/45.47 (define @t855 () (or @t854 @t852)) % 45.24/45.47 (define @t856 () (not @t802)) % 45.24/45.47 (define @t857 () (and @t854 @t802 @t711)) % 45.24/45.47 (define @t858 () (not @t618)) % 45.24/45.47 (define @t859 () (@list @t617)) % 45.24/45.47 (define @t860 () (tptp.meet_of_subsets @t556 @t567)) % 45.24/45.47 (define @t861 () (= @t559 @t860)) % 45.24/45.47 (define @t862 () (not @t861)) % 45.24/45.47 (define @t863 () (tptp.in @t75 @t567)) % 45.24/45.47 (define @t864 () (forall @t100 (or @t562 (= @t560 @t863)))) % 45.24/45.47 (define @t865 () (not @t864)) % 45.24/45.47 (define @t866 () (tptp.element @t567 @t564)) % 45.24/45.47 (define @t867 () (not @t866)) % 45.24/45.47 (define @t868 () (or @t867 @t865 @t862)) % 45.24/45.47 (define @t869 () (not @t868)) % 45.24/45.47 (define @t870 () (or @t562 (= @t863 @t560))) % 45.24/45.47 (define @t871 () (forall @t100 @t870)) % 45.24/45.47 (define @t872 () (not @t871)) % 45.24/45.47 (define @t873 () (or @t867 @t872 @t862)) % 45.24/45.47 (define @t874 () (not @t873)) % 45.24/45.47 (define @t875 () (@list @t868)) % 45.24/45.47 (define @t876 () (tptp.closed_subset @t860 @t555)) % 45.24/45.47 (define @t877 () (not @t876)) % 45.24/45.47 (define @t878 () (and @t618 @t615 @t861)) % 45.24/45.47 (define @t879 () (@list true false false)) % 45.24/45.47 (define @t880 () (forall @t106 (or (not (tptp.element @t41 @t561)) (not (tptp.in @t41 @t567)) (tptp.closed_subset @t41 @t555)))) % 45.24/45.47 (define @t881 () (not @t880)) % 45.24/45.47 (define @t882 () (or @t607 @t605 @t867 @t881 @t876)) % 45.24/45.47 (define @t883 () (@quantifiers_skolemize @t880 0)) % 45.24/45.47 (define @t884 () (tptp.closed_subset @t883 @t555)) % 45.24/45.47 (define @t885 () (tptp.in @t883 @t567)) % 45.24/45.47 (define @t886 () (not @t885)) % 45.24/45.47 (define @t887 () (tptp.element @t883 @t561)) % 45.24/45.47 (define @t888 () (not @t887)) % 45.24/45.47 (define @t889 () (or @t888 @t886 @t884)) % 45.24/45.47 (define @t890 () (not @t889)) % 45.24/45.47 (define @t891 () (@list @t889)) % 45.24/45.47 (define @t892 () (and @t884 (tptp.subset @t558 @t883))) % 45.24/45.47 (define @t893 () (or @t888 (= @t892 @t885))) % 45.24/45.47 (define @t894 () (= @t885 @t892)) % 45.24/45.47 (define @t895 () (or @t888 @t894)) % 45.24/45.47 (define @t896 () (not @t892)) % 45.24/45.47 (define @t897 () (not @t894)) % 45.24/45.47 (assume @p1 (forall @t6 (=> @t5 @t4))) % 45.24/45.47 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 45.24/45.47 (assume @p3 (forall @t13 (=> @t12 (forall @t11 (=> @t10 @t9))))) % 45.24/45.47 (assume @p4 (forall @t13 (=> @t15 (forall @t11 (=> @t10 (and @t9 @t14)))))) % 45.24/45.47 (assume @p5 (forall @t13 (=> @t17 (forall @t11 (=> @t10 (and @t9 @t14 @t16)))))) % 45.24/45.47 (assume @p6 (forall @t13 (=> @t19 (forall @t11 (=> @t10 (and @t9 @t14 @t18 @t16)))))) % 45.24/45.47 (assume @p7 (forall @t13 (=> @t21 (forall @t11 (=> @t10 (and @t9 @t20 @t14 @t18 @t16)))))) % 45.24/45.47 (assume @p8 (forall @t13 (=> @t22 (and @t12 @t15 @t17 @t19 @t21)))) % 45.24/45.47 (assume @p9 (forall @t13 (=> @t12 (forall @t11 (=> @t25 @t23))))) % 45.24/45.47 (assume @p10 (forall @t13 (=> @t15 (forall @t11 (=> @t25 (and @t23 @t26)))))) % 45.24/45.47 (assume @p11 (forall @t13 (=> @t17 (forall @t11 (=> @t25 (and @t23 @t26 @t27)))))) % 45.24/45.47 (assume @p12 (forall @t13 (=> @t19 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28)))))) % 45.24/45.47 (assume @p13 (forall @t13 (=> @t32 (forall @t11 (=> @t10 (and @t31 @t30 @t29)))))) % 45.24/45.47 (assume @p14 (forall @t13 (=> @t22 @t33))) % 45.24/45.47 (assume @p15 (forall @t13 (=> @t35 @t34))) % 45.24/45.47 (assume @p16 (forall @t13 (=> @t22 @t36))) % 45.24/45.47 (assume @p17 (forall @t13 (=> @t21 @t19))) % 45.24/45.47 (assume @p18 (forall @t13 (=> @t32 @t39))) % 45.24/45.47 (assume @p19 (forall @t13 (=> @t22 @t40))) % 45.24/45.47 (assume @p20 (forall @t45 (=> @t44 @t42))) % 45.24/45.47 (assume @p21 (forall @t13 (=> @t21 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28 (tptp.v5_membered @t2))))))) % 45.24/45.47 (assume @p22 (forall @t13 (=> (and @t22 @t32) @t47))) % 45.24/45.47 (assume @p23 (forall @t13 (=> @t33 (forall @t11 (=> @t25 @t48))))) % 45.24/45.47 (assume @p24 (forall @t13 (=> @t34 @t35))) % 45.24/45.47 (assume @p25 (forall @t13 (=> @t51 @t50))) % 45.24/45.47 (assume @p26 (forall @t13 (=> @t19 @t17))) % 45.24/45.47 (assume @p27 (forall @t13 (=> @t39 @t32))) % 45.24/45.47 (assume @p28 (forall @t13 (=> (tptp.element @t1 tptp.omega) @t47))) % 45.24/45.47 (assume @p29 (forall @t13 (=> @t17 @t15))) % 45.24/45.47 (assume @p30 (forall @t13 (=> @t22 @t52))) % 45.24/45.47 (assume @p31 (forall @t13 (=> @t15 @t12))) % 45.24/45.47 (assume @p32 (forall @t6 (= @t53 (tptp.unordered_pair @t2 @t1)))) % 45.24/45.47 (assume @p33 (forall @t6 (= @t55 @t54))) % 45.24/45.47 (assume @p34 (forall @t45 (=> @t63 (= @t56 (tptp.join_commut @t1 @t41 @t2))))) % 45.24/45.47 (assume @p35 (forall @t6 (= @t65 @t64))) % 45.24/45.47 (assume @p36 (forall @t45 (=> @t69 (= @t66 (tptp.meet_commut @t1 @t41 @t2))))) % 45.24/45.47 (assume @p37 (forall @t45 (=> @t72 (= @t70 (tptp.subset_intersection2 @t1 @t41 @t2))))) % 45.24/45.47 (assume @p38 (forall @t6 (=> @t74 (or @t73 (tptp.ordinal_subset @t2 @t1))))) % 45.24/45.47 (assume @p39 (forall @t6 (=> @t83 (= @t82 (forall @t80 (= @t79 (and @t77 @t76))))))) % 45.24/45.47 (assume @p40 @t87) % 45.24/45.47 (assume @p41 (forall @t13 (=> @t40 (forall @t95 (=> @t42 (= (= @t41 @t94) (forall @t93 (= @t92 (and @t91 @t90))))))))) % 45.24/45.47 (assume @p42 (forall @t13 (=> @t103 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t97) @t96 (= @t75 (tptp.apply @t1 @t88))))))))))) % 45.24/45.47 (assume @p43 (forall @t6 (=> @t83 (forall @t106 (=> @t42 (= (= @t41 @t105) (forall @t93 (= @t92 (and @t104 (tptp.in @t89 @t2)))))))))) % 45.24/45.47 (assume @p44 (forall @t13 (=> @t40 (= @t108 (tptp.is_antisymmetric_in @t1 @t107))))) % 45.24/45.47 (assume @p45 (forall @t13 (=> @t103 (forall @t95 (= @t111 (forall @t100 (= @t99 (and @t110 (tptp.in @t109 @t2))))))))) % 45.24/45.47 (assume @p46 @t134) % 45.24/45.47 (assume @p47 (forall @t13 (=> @t40 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t135 @t1) @t96))))))))) % 45.24/45.47 (assume @p48 (forall @t13 (=> @t40 (forall @t95 (= @t111 (forall @t100 (= @t99 (exists @t98 (and @t90 @t96))))))))) % 45.24/45.47 (assume @p49 (forall @t13 (=> @t40 (= @t136 (tptp.is_connected_in @t1 @t107))))) % 45.24/45.47 (assume @p50 (forall @t13 (=> @t40 (= @t137 (tptp.is_transitive_in @t1 @t107))))) % 45.24/45.47 (assume @p51 (forall @t139 (= (= @t75 (tptp.unordered_triple @t1 @t2 @t41)) (forall @t98 (= @t138 (not (and (not (= @t88 @t1)) (not (= @t88 @t2)) (not (= @t88 @t41))))))))) % 45.24/45.47 (assume @p52 (forall @t13 (= @t33 (exists @t11 (and @t83 @t142 (= @t141 @t1) (tptp.in @t140 tptp.omega)))))) % 45.24/45.47 (assume @p53 (forall @t13 (= @t36 (forall @t146 (=> (and @t145 @t143) @t76))))) % 45.24/45.47 (assume @p54 (forall @t45 (=> @t152 (and (=> (=> @t150 @t149) (= @t148 (= @t1 @t151))) (=> @t150 (or @t149 (= @t148 @t147))))))) % 45.24/45.47 (assume @p55 (forall @t13 (=> @t155 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t154 (tptp.apply_binary_as_element @t57 @t57 @t57 @t153 @t2 @t41))))))))) % 45.24/45.47 (assume @p56 (forall @t13 (=> @t158 (forall @t11 (= (= @t2 (tptp.pair_first @t1)) (forall @t80 (=> @t157 @t156))))))) % 45.24/45.47 (assume @p57 (forall @t13 (= @t160 (tptp.set_union2 @t1 @t159)))) % 45.24/45.47 (assume @p58 (forall @t13 (=> @t132 (= @t165 (and (tptp.in @t57 @t161) (forall @t11 (=> @t164 (=> (tptp.subset @t2 @t161) (tptp.in (tptp.union_of_subsets @t57 @t2) @t161)))) (forall @t11 (=> @t129 (forall @t106 (=> @t126 (=> (and @t162 (tptp.in @t41 @t161)) (tptp.in (tptp.subset_intersection2 @t57 @t2 @t41) @t161))))))))))) % 45.24/45.47 (assume @p59 (forall @t13 (= @t40 (forall @t11 (not (and @t3 (forall @t80 (not (= @t2 @t78))))))))) % 45.24/45.47 (assume @p60 (forall @t13 (=> @t40 (forall @t11 (= @t167 (forall @t106 (=> @t166 (tptp.in (tptp.ordered_pair @t41 @t41) @t1)))))))) % 45.24/45.47 (assume @p61 (forall @t45 (= @t168 (tptp.subset @t41 @t43)))) % 45.24/45.47 (assume @p62 (forall @t6 (and (=> @t172 (= @t169 (forall @t106 (= @t166 (forall @t100 (=> @t171 @t170)))))) (=> @t149 (= @t169 @t150))))) % 45.24/45.47 (assume @p63 (forall @t6 (= (= @t2 @t159) (forall @t106 (= @t166 (= @t41 @t1)))))) % 45.24/45.47 (assume @p64 (forall @t13 (=> @t40 (forall @t95 (= (= @t41 (tptp.fiber @t1 @t2)) (forall @t100 (= @t99 (and (not @t173) (tptp.in (tptp.ordered_pair @t75 @t2) @t1))))))))) % 45.24/45.47 (assume @p65 (forall @t6 (=> @t83 (= (= @t2 @t176) (and (= @t175 @t1) (forall @t80 (=> (and @t77 @t171) (= @t79 @t174)))))))) % 45.24/45.47 (assume @p66 (forall @t13 (= @t149 (forall @t11 @t4)))) % 45.24/45.47 (assume @p67 (forall @t6 (= (= @t2 @t24) (forall @t106 (= @t166 (tptp.subset @t41 @t1)))))) % 45.24/45.47 (assume @p68 (forall @t13 (=> (and @t62 @t67) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t178 (tptp.apply_binary_as_element @t57 @t57 @t57 @t177 @t2 @t41))))))))) % 45.24/45.47 (assume @p69 (forall @t13 (=> @t158 (forall @t11 (= (= @t2 (tptp.pair_second @t1)) (forall @t80 (=> @t157 @t179))))))) % 45.24/45.47 (assume @p70 (forall @t13 (= @t38 (forall @t11 (=> @t3 @t84))))) % 45.24/45.47 (assume @p71 (forall @t13 (=> @t181 (= @t180 tptp.empty_set)))) % 45.24/45.47 (assume @p72 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= @t86 (forall @t80 (= @t182 @t79)))))))) % 45.24/45.47 (assume @p73 (forall @t6 (and (=> @t184 (= @t10 @t3)) (=> @t22 (= @t10 @t183))))) % 45.24/45.47 (assume @p74 (forall @t45 (= (= @t41 @t53) (forall @t100 (= @t99 (or (= @t75 @t1) @t173)))))) % 45.24/45.47 (assume @p75 (forall @t13 (=> @t40 (= @t186 (forall @t11 (not (and (tptp.subset @t2 @t107) @t185 (forall @t106 (not (and @t166 (tptp.disjoint (tptp.fiber @t1 @t41) @t2))))))))))) % 45.24/45.47 (assume @p76 (forall @t45 (= (= @t41 @t55) (forall @t100 (= @t99 (or @t171 @t91)))))) % 45.24/45.47 (assume @p77 (forall @t45 (= (= @t41 @t43) (forall @t100 (= @t99 (exists @t190 (and @t104 @t189 (= @t75 @t188)))))))) % 45.24/45.47 (assume @p78 (forall @t13 (=> @t155 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t191 (= @t154 @t41))))))))) % 45.24/45.47 (assume @p79 (forall @t13 (= @t37 (forall @t95 (not (and @t3 @t77 (not @t194) @t193 @t192)))))) % 45.24/45.47 (assume @p80 (forall @t13 (=> @t181 (= @t195 @t57)))) % 45.24/45.47 (assume @p81 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= @t85 (forall @t80 (=> @t182 @t79)))))))) % 45.24/45.47 (assume @p82 (forall @t6 (= @t85 @t196))) % 45.24/45.47 (assume @p83 (forall @t13 (=> @t40 (forall @t11 (= @t199 (forall @t106 (not (and @t198 @t197 (forall @t100 (not (and @t99 (tptp.disjoint (tptp.fiber @t1 @t75) @t41)))))))))))) % 45.24/45.47 (assume @p84 (forall @t45 (= (= @t41 @t65) (forall @t100 (= @t99 (and @t171 @t91)))))) % 45.24/45.47 (assume @p85 (forall @t13 (=> @t103 (forall @t95 (and (=> @t202 (= @t201 @t145)) (=> (not @t202) (= @t201 @t147))))))) % 45.24/45.47 (assume @p86 (forall @t13 (= @t32 @t39))) % 45.24/45.47 (assume @p87 (forall @t13 (=> @t40 (forall @t11 (= (= @t2 @t97) (forall @t106 (= @t166 (exists @t100 @t182)))))))) % 45.24/45.47 (assume @p88 (forall @t13 (=> @t40 (forall @t11 (= @t204 (forall @t80 (=> (and @t166 @t91 @t182 @t203) @t76))))))) % 45.24/45.47 (assume @p89 (forall @t13 (= @t205 @t1))) % 45.24/45.47 (assume @p90 (forall @t6 (= (= @t2 @t206) (forall @t106 (= @t166 (exists @t100 (and @t170 @t171))))))) % 45.24/45.47 (assume @p91 (forall @t13 (=> @t40 (= @t208 (and @t207 @t137 @t108 @t136 @t186))))) % 45.24/45.47 (assume @p92 (forall @t6 (= @t214 (exists @t106 (and @t42 @t213 @t212 @t211 (= @t209 @t2)))))) % 45.24/45.47 (assume @p93 (forall @t45 (= (= @t41 @t215) (forall @t100 (= @t99 (and @t171 (not @t91))))))) % 45.24/45.47 (assume @p94 (forall @t13 (=> @t103 (forall @t11 (= @t218 (forall @t106 (= @t166 (exists @t100 @t216)))))))) % 45.24/45.47 (assume @p95 (forall @t13 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t219 @t32 (forall @t11 (=> @t29 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t85))))))) % 45.24/45.47 (assume @p96 (forall @t13 (=> @t132 (forall @t11 (=> @t129 (= (tptp.open_subset @t2 @t1) @t162)))))) % 45.24/45.47 (assume @p97 (forall @t13 (=> @t40 (forall @t11 (= @t218 (forall @t106 (= @t166 (exists @t100 @t203)))))))) % 45.24/45.47 (assume @p98 (forall @t6 (=> @t25 (= @t220 @t215)))) % 45.24/45.47 (assume @p99 (forall @t6 (= @t221 (tptp.unordered_pair @t53 @t159)))) % 45.24/45.47 (assume @p100 (forall @t13 (=> @t40 (forall @t11 (= (tptp.well_orders @t1 @t2) (and @t167 @t223 @t204 @t222 @t199)))))) % 45.24/45.47 (assume @p101 (forall @t13 (= @t219 (= @t1 @t206)))) % 45.24/45.47 (assume @p102 @t229) % 45.24/45.47 (assume @p103 (forall @t13 (=> @t40 (= @t107 (tptp.set_union2 @t97 @t217))))) % 45.24/45.47 (assume @p104 (forall @t13 (=> @t40 (forall @t11 (= @t222 (forall @t80 (not (and @t166 @t91 (not @t76) (not @t182) (not @t203))))))))) % 45.24/45.47 (assume @p105 (forall @t13 (=> @t40 (forall @t11 (= @t231 (tptp.set_intersection2 @t1 @t230)))))) % 45.24/45.47 (assume @p106 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= (= @t2 @t232) (forall @t80 (= @t79 @t203)))))))) % 45.24/45.47 (assume @p107 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t106 (=> @t236 (= @t235 (and (= @t210 @t107) (= @t209 @t175) @t212 (forall @t93 (= @t90 (and (tptp.in @t75 @t107) (tptp.in @t88 @t107) (tptp.in (tptp.ordered_pair @t234 @t233) @t2))))))))))))) % 45.24/45.47 (assume @p108 (forall @t6 (= @t237 (= @t65 tptp.empty_set)))) % 45.24/45.47 (assume @p109 (forall @t13 (=> @t103 (= @t49 (forall @t95 (=> (and @t202 (tptp.in @t41 @t97) (= @t200 (tptp.apply @t1 @t41))) @t156)))))) % 45.24/45.47 (assume @p110 (forall @t13 (=> (and @t62 @t239) (= @t238 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= (tptp.join @t1 @t178 @t41) @t41))))))))) % 45.24/45.47 (assume @p111 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t106 (=> @t42 (= (= @t41 @t241) (forall @t93 (= @t92 (exists @t240 (and (tptp.in (tptp.ordered_pair @t75 @t187) @t1) (tptp.in (tptp.ordered_pair @t187 @t88) @t2))))))))))))) % 45.24/45.47 (assume @p112 (forall @t13 (=> @t40 (forall @t11 (= @t223 (forall @t242 (=> (and @t166 @t91 @t96 @t182 @t90) (tptp.in (tptp.ordered_pair @t41 @t88) @t1)))))))) % 45.24/45.47 (assume @p113 (forall @t6 (=> @t245 (forall @t106 (=> (tptp.element @t41 @t244) (= (= @t41 @t243) (forall @t100 (=> (tptp.element @t75 @t24) (= @t99 (tptp.in (tptp.subset_complement @t1 @t75) @t2)))))))))) % 45.24/45.47 (assume @p114 (forall @t6 (= @t8 (and @t85 @t246)))) % 45.24/45.47 (assume @p115 (forall @t13 (=> @t103 (=> @t49 (= @t247 @t232))))) % 45.24/45.47 (assume @p116 (forall @t13 (=> @t40 (= @t207 (tptp.is_reflexive_in @t1 @t107))))) % 45.24/45.47 (assume @p117 true) % 45.24/45.47 (assume @p118 (forall @t45 (=> (and @t62 @t60 @t59 @t58) (tptp.element @t154 @t57)))) % 45.24/45.47 (assume @p119 (forall @t13 (=> @t181 (tptp.element @t180 @t116)))) % 45.24/45.47 (assume @p120 (forall @t13 (tptp.relation @t176))) % 45.24/45.47 (assume @p121 (forall @t252 (=> @t251 (tptp.element @t248 @t41)))) % 45.24/45.47 (assume @p122 (forall @t13 (=> @t103 (and (tptp.relation @t247) (tptp.function @t247))))) % 45.24/45.47 (assume @p123 (forall @t45 (=> (and @t62 @t67 @t59 @t58) (tptp.element @t178 @t57)))) % 45.24/45.47 (assume @p124 (forall @t13 (=> @t181 (tptp.element @t195 @t116)))) % 45.24/45.47 (assume @p125 (forall @t13 (tptp.element @t205 @t24))) % 45.24/45.47 (assume @p126 (forall @t6 (=> @t40 (tptp.relation @t231)))) % 45.24/45.47 (assume @p127 (forall @t45 (=> @t63 (tptp.element @t56 @t57)))) % 45.24/45.47 (assume @p128 @t254) % 45.24/45.47 (assume @p129 (forall @t45 (=> @t69 (tptp.element @t66 @t57)))) % 45.24/45.47 (assume @p130 (forall @t13 (=> @t40 @t255))) % 45.24/45.47 (assume @p131 (forall @t45 (=> @t168 (tptp.element @t151 @t24)))) % 45.24/45.47 (assume @p132 (forall @t6 (=> @t257 @t256))) % 45.24/45.47 (assume @p133 (forall @t45 (=> @t168 (tptp.element @t259 @t258)))) % 45.24/45.47 (assume @p134 (forall @t6 (=> @t245 (tptp.element @t260 @t24)))) % 45.24/45.47 (assume @p135 (forall @t45 (=> @t72 (tptp.element @t70 @t24)))) % 45.24/45.47 (assume @p136 (forall @t6 (=> (and @t132 @t129) (tptp.element @t123 @t116)))) % 45.24/45.47 (assume @p137 (forall @t13 @t261)) % 45.24/45.47 (assume @p138 (forall @t6 (=> @t245 (tptp.element @t262 @t24)))) % 45.24/45.47 (assume @p139 (forall @t45 (=> @t72 (tptp.element @t263 @t24)))) % 45.24/45.47 (assume @p140 (forall @t6 (=> @t40 @t264))) % 45.24/45.47 (assume @p141 (forall @t6 (=> @t245 (tptp.element @t243 @t244)))) % 45.24/45.47 (assume @p142 (forall @t6 (=> @t83 @t265))) % 45.24/45.47 (assume @p143 (forall @t13 (=> @t67 @t181))) % 45.24/45.47 (assume @p144 @t266) % 45.24/45.47 (assume @p145 (forall @t13 (=> @t60 @t181))) % 45.24/45.47 (assume @p146 (forall @t13 (=> @t239 (and @t67 @t60)))) % 45.24/45.47 (assume @p147 (forall @t45 (=> @t152 @t44))) % 45.24/45.47 (assume @p148 (forall @t13 (=> @t67 (and (tptp.function @t177) (tptp.quasi_total @t177 @t267 @t57) (tptp.relation_of2_as_subset @t177 @t267 @t57))))) % 45.24/45.47 (assume @p149 (forall @t13 (=> @t132 (tptp.element @t161 @t163)))) % 45.24/45.47 (assume @p150 (forall @t13 (=> @t60 (and (tptp.function @t153) (tptp.quasi_total @t153 @t267 @t57) (tptp.relation_of2_as_subset @t153 @t267 @t57))))) % 45.24/45.47 (assume @p151 (exists @t13 @t67)) % 45.24/45.47 (assume @p152 (exists @t13 @t132)) % 45.24/45.47 (assume @p153 (exists @t13 @t181)) % 45.24/45.47 (assume @p154 (exists @t13 @t60)) % 45.24/45.47 (assume @p155 (exists @t13 @t239)) % 45.24/45.47 (assume @p156 (forall @t6 (exists @t106 @t168))) % 45.24/45.47 (assume @p157 (forall @t13 (exists @t11 @t10))) % 45.24/45.47 (assume @p158 (forall @t6 (exists @t106 @t152))) % 45.24/45.47 (assume @p159 (forall @t6 (=> @t48 @t268))) % 45.24/45.47 (assume @p160 (forall @t6 (=> @t270 (and (tptp.empty @t269) (tptp.relation @t269))))) % 45.24/45.47 (assume @p161 (forall @t6 (=> @t33 @t268))) % 45.24/45.47 (assume @p162 (forall @t13 (=> @t22 (and (tptp.empty @t232) @t255)))) % 45.24/45.47 (assume @p163 (forall @t6 (=> @t33 (tptp.finite @t215)))) % 45.24/45.47 (assume @p164 (and @t273 @t272 @t271)) % 45.24/45.47 (assume @p165 (forall @t6 (=> (and @t40 @t36 @t48) (tptp.finite @t101)))) % 45.24/45.47 (assume @p166 (forall @t6 (=> @t275 (and @t264 (tptp.relation_empty_yielding @t94))))) % 45.24/45.47 (assume @p167 (forall @t13 (and @t276 (tptp.finite @t159)))) % 45.24/45.47 (assume @p168 (forall @t13 (and @t277 (tptp.cup_closed @t24) (tptp.diff_closed @t24) (tptp.preboolean @t24)))) % 45.24/45.47 (assume @p169 (forall @t6 (=> (and @t40 @t36 @t83 @t142) (and @t256 (tptp.function @t241))))) % 45.24/45.47 (assume @p170 (forall @t13 @t278)) % 45.24/45.47 (assume @p171 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 45.24/45.47 (assume @p172 (forall @t13 (=> @t181 (and (tptp.empty @t180) (tptp.v1_membered @t180) (tptp.v2_membered @t180) (tptp.v3_membered @t180) (tptp.v4_membered @t180) (tptp.v5_membered @t180))))) % 45.24/45.47 (assume @p173 (forall @t6 (=> @t257 (tptp.relation @t65)))) % 45.24/45.47 (assume @p174 (forall @t13 (=> @t279 (not (tptp.empty @t57))))) % 45.24/45.47 (assume @p175 (forall @t13 @t277)) % 45.24/45.47 (assume @p176 @t273) % 45.24/45.47 (assume @p177 (forall @t6 (not (tptp.empty @t221)))) % 45.24/45.47 (assume @p178 (forall @t6 (=> @t12 @t280))) % 45.24/45.47 (assume @p179 (forall @t6 (=> @t12 @t281))) % 45.24/45.47 (assume @p180 (forall @t6 (=> @t15 (and @t280 @t282)))) % 45.24/45.47 (assume @p181 (forall @t13 (=> (and @t32 @t46) (and @t278 @t285 @t284 @t283 (tptp.natural @t160))))) % 45.24/45.47 (assume @p182 (forall @t13 (and @t261 (tptp.function @t81)))) % 45.24/45.47 (assume @p183 (and @t272 @t271 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t273 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 45.24/45.47 (assume @p184 (forall @t6 (=> @t257 (tptp.relation @t55)))) % 45.24/45.47 (assume @p185 (forall @t13 @t276)) % 45.24/45.47 (assume @p186 (forall @t6 (=> @t184 (not (tptp.empty @t55))))) % 45.24/45.47 (assume @p187 (forall @t6 (=> @t15 (and @t281 @t286)))) % 45.24/45.47 (assume @p188 (forall @t6 (=> @t17 (and @t280 @t282 @t287)))) % 45.24/45.47 (assume @p189 (forall @t6 (=> @t17 (and @t281 @t286 @t288)))) % 45.24/45.47 (assume @p190 (forall @t6 (=> @t19 (and @t280 @t282 @t287 @t289)))) % 45.24/45.47 (assume @p191 (forall @t6 (=> @t19 (and @t281 @t286 @t288 @t290)))) % 45.24/45.47 (assume @p192 (forall @t6 (=> @t21 (and @t280 @t282 @t287 @t289 (tptp.v5_membered @t65))))) % 45.24/45.47 (assume @p193 (forall @t6 (=> @t21 (and @t281 @t286 @t288 @t290 (tptp.v5_membered @t64))))) % 45.24/45.47 (assume @p194 (forall @t6 (=> @t12 @t291))) % 45.24/45.47 (assume @p195 (forall @t6 (=> @t15 (and @t291 @t292)))) % 45.24/45.47 (assume @p196 (forall @t6 (=> @t17 (and @t291 @t292 @t293)))) % 45.24/45.47 (assume @p197 (forall @t13 (=> @t50 (and @t255 (tptp.function @t232))))) % 45.24/45.47 (assume @p198 (forall @t13 (=> @t32 (and @t278 @t285 @t284 @t283)))) % 45.24/45.47 (assume @p199 (forall @t6 (=> @t257 (tptp.relation @t215)))) % 45.24/45.47 (assume @p200 (forall @t6 (not (tptp.empty @t53)))) % 45.24/45.47 (assume @p201 (forall @t6 (=> @t184 (not (tptp.empty @t54))))) % 45.24/45.47 (assume @p202 (forall @t6 (=> @t19 (and @t291 @t292 @t293 @t294)))) % 45.24/45.47 (assume @p203 (forall @t6 (=> @t21 (and @t291 @t292 @t293 @t294 (tptp.v5_membered @t215))))) % 45.24/45.47 (assume @p204 (forall @t6 (=> @t103 (and @t264 (tptp.function @t94))))) % 45.24/45.47 (assume @p205 (forall @t13 (=> @t32 (and (tptp.epsilon_transitive @t206) (tptp.epsilon_connected @t206) (tptp.ordinal @t206))))) % 45.24/45.47 (assume @p206 (and @t273 @t272)) % 45.24/45.47 (assume @p207 (forall @t6 (=> (and @t184 @t250) (not (tptp.empty @t43))))) % 45.24/45.47 (assume @p208 (forall @t6 (=> @t295 (and @t265 (tptp.function @t105))))) % 45.24/45.47 (assume @p209 (forall @t13 (=> @t296 (tptp.closed_subset @t195 @t1)))) % 45.24/45.47 (assume @p210 (forall @t13 (=> @t298 (not @t297)))) % 45.24/45.47 (assume @p211 (and @t273 (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))) % 45.24/45.47 (assume @p212 (forall @t13 (=> @t298 (not @t299)))) % 45.24/45.47 (assume @p213 (forall @t13 (=> @t22 (and @t297 (tptp.relation @t97))))) % 45.24/45.47 (assume @p214 (forall @t13 (=> @t22 (and @t299 (tptp.relation @t217))))) % 45.24/45.47 (assume @p215 (forall @t6 (=> (and @t33 @t48) (tptp.finite @t55)))) % 45.24/45.47 (assume @p216 (forall @t6 (=> @t270 (and (tptp.empty @t241) @t256)))) % 45.24/45.47 (assume @p217 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 45.24/45.47 (assume @p218 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 45.24/45.47 (assume @p219 (forall @t45 (=> @t72 (= (tptp.subset_intersection2 @t1 @t2 @t2) @t2)))) % 45.24/45.47 (assume @p220 @t302) % 45.24/45.47 (assume @p221 (forall @t13 (=> @t40 (= (tptp.relation_inverse @t232) @t1)))) % 45.24/45.47 (assume @p222 (forall @t6 (=> @t245 (= (tptp.complements_of_subsets @t1 @t243) @t2)))) % 45.24/45.47 (assume @p223 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 45.24/45.47 (assume @p224 (forall @t13 (=> @t40 (= @t207 (forall @t11 (=> @t303 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 45.24/45.47 (assume @p225 (forall @t13 (not (= @t159 tptp.empty_set)))) % 45.24/45.47 (assume @p226 (forall @t6 (=> @t5 (= (tptp.set_union2 @t159 @t2) @t2)))) % 45.24/45.47 (assume @p227 (forall @t6 (not (and @t304 @t5)))) % 45.24/45.47 (assume @p228 (forall @t6 (=> @t305 @t304))) % 45.24/45.47 (assume @p229 (forall @t6 (=> @t83 (tptp.subset (tptp.relation_dom @t105) @t140)))) % 45.24/45.47 (assume @p230 (forall @t13 (=> @t40 (= @t137 (forall @t146 (=> (and @t145 @t182) @t143)))))) % 45.24/45.47 (assume @p231 (forall @t6 (= (tptp.subset @t159 @t2) @t5))) % 45.24/45.47 (assume @p232 (forall @t6 (=> @t83 (not (and @t306 (tptp.equipotent @t1 @t175) (forall @t106 (=> @t42 (not (tptp.well_orders @t41 @t1))))))))) % 45.24/45.47 (assume @p233 (forall @t6 (= (= @t215 tptp.empty_set) @t85))) % 45.24/45.47 (assume @p234 (forall @t6 (=> @t25 (forall @t106 (=> @t166 @t77))))) % 45.24/45.47 (assume @p235 (forall @t13 (=> @t40 (= @t108 (forall @t95 (=> (and @t145 @t307) @t156)))))) % 45.24/45.47 (assume @p236 (forall @t45 (=> @t85 (or @t77 (tptp.subset @t1 (tptp.set_difference @t2 @t308)))))) % 45.24/45.47 (assume @p237 (forall @t13 (=> @t40 (= @t136 (forall @t95 (not (and @t303 (tptp.in @t41 @t107) @t193 @t309 (not @t307)))))))) % 45.24/45.47 (assume @p238 (forall @t6 (= (tptp.subset @t1 @t310) (or @t149 (= @t1 @t310))))) % 45.24/45.47 (assume @p239 (forall @t6 (=> @t5 (tptp.subset @t1 @t311)))) % 45.24/45.47 (assume @p240 (forall @t139 (= (tptp.in @t221 (tptp.cartesian_product2 @t41 @t75)) (and @t312 (tptp.in @t2 @t75))))) % 45.24/45.47 (assume @p241 (forall @t6 (=> @t196 @t313))) % 45.24/45.47 (assume @p242 (forall @t45 (=> @t236 (= @t315 (and (tptp.in @t2 @t210) @t3))))) % 45.24/45.47 (assume @p243 (exists @t13 (and @t184 @t38 @t37 @t32 @t46))) % 45.24/45.47 (assume @p244 (exists @t13 (and @t184 @t33))) % 45.24/45.47 (assume @p245 (exists @t13 @t103)) % 45.24/45.47 (assume @p246 (forall @t6 (exists @t106 (and @t168 @t42 @t213 @t148)))) % 45.24/45.47 (assume @p247 (exists @t13 (and @t184 @t12 @t15 @t17 @t19 @t21))) % 45.24/45.47 (assume @p248 (exists @t13 @t52)) % 45.24/45.47 (assume @p249 (exists @t13 (and @t38 @t37 @t32 @t219))) % 45.24/45.47 (assume @p250 (exists @t13 (and @t40 @t36 @t49 @t22))) % 45.24/45.47 (assume @p251 (exists @t13 (and @t22 @t40))) % 45.24/45.47 (assume @p252 (forall @t13 (=> @t184 (exists @t11 (and @t25 @t250))))) % 45.24/45.47 (assume @p253 (exists @t13 @t22)) % 45.24/45.47 (assume @p254 (forall @t13 (exists @t11 (and @t25 @t183 @t83 @t142 @t316 @t31 @t30 @t29 @t20 @t48)))) % 45.24/45.47 (assume @p255 (exists @t13 @t51)) % 45.24/45.47 (assume @p256 (exists @t13 (and @t40 @t36 @t49 @t22 @t38 @t37 @t32))) % 45.24/45.47 (assume @p257 (forall @t6 (exists @t106 (and @t168 @t42 @t213)))) % 45.24/45.47 (assume @p258 (exists @t13 @t298)) % 45.24/45.47 (assume @p259 (forall @t13 (exists @t11 (and @t25 @t183)))) % 45.24/45.47 (assume @p260 (exists @t13 @t184)) % 45.24/45.47 (assume @p261 (forall @t13 (=> @t184 (exists @t11 (and @t25 @t250 @t48))))) % 45.24/45.47 (assume @p262 (exists @t13 @t50)) % 45.24/45.47 (assume @p263 (exists @t13 (and @t184 @t38 @t37 @t32))) % 45.24/45.47 (assume @p264 (exists @t13 @t275)) % 45.24/45.47 (assume @p265 (exists @t13 (and @t181 @t62))) % 45.24/45.47 (assume @p266 (exists @t13 (and @t40 @t274 @t36))) % 45.24/45.47 (assume @p267 (forall @t13 (=> @t279 (exists @t11 (and @t129 @t250))))) % 45.24/45.47 (assume @p268 (forall @t13 (=> @t296 (exists @t11 (and @t129 @t225))))) % 45.24/45.47 (assume @p269 (forall @t252 (=> @t251 (= @t248 (tptp.apply_binary @t75 @t88 @t187))))) % 45.24/45.47 (assume @p270 (forall @t45 (=> @t63 (= @t56 @t154)))) % 45.24/45.47 (assume @p271 (forall @t45 (=> @t69 (= @t66 @t178)))) % 45.24/45.47 (assume @p272 (forall @t45 (=> @t168 (= @t151 @t210)))) % 45.24/45.47 (assume @p273 (forall @t45 (=> @t168 (= @t259 @t209)))) % 45.24/45.47 (assume @p274 (forall @t6 (=> @t245 (= @t260 @t311)))) % 45.24/45.47 (assume @p275 (forall @t45 (=> @t72 (= @t70 @t317)))) % 45.24/45.47 (assume @p276 (forall @t6 (=> @t245 (= @t262 (tptp.set_meet @t2))))) % 45.24/45.47 (assume @p277 (forall @t45 (=> @t72 (= @t263 @t318)))) % 45.24/45.47 (assume @p278 (forall @t45 (= @t152 @t168))) % 45.24/45.47 (assume @p279 (forall @t6 (=> @t74 (= @t73 @t85)))) % 45.24/45.47 (assume @p280 (forall @t6 (= @t214 (tptp.are_equipotent @t1 @t2)))) % 45.24/45.47 (assume @p281 (forall @t6 (=> @t74 (tptp.ordinal_subset @t1 @t1)))) % 45.24/45.47 (assume @p282 (forall @t6 (tptp.subset @t1 @t1))) % 45.24/45.47 (assume @p283 (forall @t6 (tptp.equipotent @t1 @t1))) % 45.24/45.47 (assume @p284 (forall @t6 (=> @t336 (=> @t335 (exists @t106 (and @t42 @t213 (forall @t93 (= @t92 (and @t171 @t171 (exists @t323 (and (= @t75 @t320) (tptp.in @t88 @t320) (forall @t322 (=> @t321 (tptp.in (tptp.ordered_pair @t88 @t319) @t2)))))))))))))) % 45.24/45.47 (assume @p285 (forall @t13 (=> @t339 (exists @t11 (and @t83 @t142 (forall @t80 (= @t79 (and @t77 @t77 (= @t75 @t308))))))))) % 45.24/45.47 (assume @p286 (forall @t13 (=> (exists @t11 (and @t29 @t3)) (exists @t11 (and @t29 @t3 (forall @t106 (=> @t340 (=> @t77 (tptp.ordinal_subset @t2 @t41))))))))) % 45.24/45.47 (assume @p287 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t13 (=> (tptp.element @t1 (tptp.powerset @t364)) (not (and @t172 (forall @t11 (not (and @t3 (forall @t106 (=> (and @t77 @t363) (= @t41 @t2))))))))))) (forall @t100 (=> @t347 (=> @t362 (=> (tptp.in @t361 tptp.omega) (forall @t329 (=> (tptp.element @t326 (tptp.powerset (tptp.powerset @t361))) (not (and (not (= @t326 tptp.empty_set)) (forall @t328 (not (and @t327 (forall @t323 (=> (and (tptp.in @t320 @t326) (tptp.subset @t325 @t320)) (= @t320 @t325)))))))))))))) (forall @t100 (=> @t347 (=> (and (tptp.being_limit_ordinal @t75) (forall @t322 (=> (tptp.ordinal @t319) (=> (tptp.in @t319 @t75) (=> (tptp.in @t319 tptp.omega) (forall @t360 (=> (tptp.element @t356 (tptp.powerset (tptp.powerset @t319))) (not (and (not (= @t356 tptp.empty_set)) (forall @t359 (not (and @t358 (forall @t357 (=> (and (tptp.in @t355 @t356) (tptp.subset @t354 @t355)) (= @t355 @t354))))))))))))))) (or (= @t75 tptp.empty_set) (=> @t346 (forall @t353 (=> (tptp.element @t350 @t344) (not (and (not (= @t350 tptp.empty_set)) (forall @t352 (not (and (tptp.in @t348 @t350) (forall @t351 (=> (and (tptp.in @t349 @t350) (tptp.subset @t348 @t349)) (= @t349 @t348)))))))))))))))) (forall @t100 (=> @t347 (=> @t346 (forall @t345 (=> (tptp.element @t343 @t344) (not (and (not (= @t343 tptp.empty_set)) (forall (@list @t341) (not (and (tptp.in @t341 @t343) (forall (@list @t342) (=> (and (tptp.in @t342 @t343) (tptp.subset @t341 @t342)) (= @t342 @t341))))))))))))))) % 45.24/45.47 (assume @p288 (forall @t45 (=> @t368 (exists @t100 (and @t367 (forall @t190 (= (tptp.in @t188 @t75) (and @t104 @t366 (tptp.in (tptp.ordered_pair @t233 @t365) @t2))))))))) % 45.24/45.47 (assume @p289 (forall @t6 (=> @t336 (=> @t335 (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t104 @t104 (exists @t323 (and (= @t88 @t320) @t370 @t369))))))))))) % 45.24/45.47 (assume @p290 (forall @t6 (=> @t336 (forall @t106 (=> (forall @t381 (=> (and @t324 (exists @t380 (and (= @t379 @t88) @t378 (exists @t328 (and (= @t331 @t325) (tptp.in @t326 @t325) (forall @t323 (=> @t377 (tptp.in (tptp.ordered_pair @t326 @t320) @t2))))))) @t376 (exists @t375 (and (= @t374 @t187) (tptp.in @t319 @t1) (exists @t359 (and (= @t319 @t354) (tptp.in @t356 @t354) (forall @t357 (=> (tptp.in @t355 @t354) (tptp.in (tptp.ordered_pair @t356 @t355) @t2)))))))) @t373)) (exists @t100 (forall @t98 (= @t138 (exists @t240 (and (tptp.in @t187 @t372) @t371 (exists (@list @t350 @t348) (and (= (tptp.ordered_pair @t350 @t348) @t88) (tptp.in @t350 @t1) (exists @t351 (and (= @t350 @t349) (tptp.in @t348 @t349) (forall @t345 (=> (tptp.in @t343 @t349) (tptp.in (tptp.ordered_pair @t348 @t343) @t2))))))))))))))))) % 45.24/45.47 (assume @p291 (forall @t13 (=> @t339 (exists @t11 (forall @t106 (= @t166 (exists @t100 (and @t171 @t171 (= @t41 (tptp.singleton @t75)))))))))) % 45.24/45.47 (assume @p292 (forall @t6 (=> (forall @t242 (=> (and @t76 (exists @t386 (and (= @t385 @t75) @t366 (= @t331 (tptp.singleton @t187)))) @t384 (exists (@list @t326 @t325) (and (= (tptp.ordered_pair @t326 @t325) @t88) @t383 (= @t325 (tptp.singleton @t326))))) @t324)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t43) @t382 (exists (@list @t320 @t319) (and (= (tptp.ordered_pair @t320 @t319) @t75) (tptp.in @t320 @t1) (= @t319 (tptp.singleton @t320)))))))))))) % 45.24/45.47 (assume @p293 (forall @t13 (=> @t32 (=> (forall @t146 (=> (and @t156 (exists @t98 (and @t389 @t384 (=> (tptp.in @t88 tptp.omega) (forall @t240 (=> (tptp.element @t187 (tptp.powerset (tptp.powerset @t88))) @t388))))) @t179 (exists @t328 (and (tptp.ordinal @t325) (= @t75 @t325) (=> (tptp.in @t325 tptp.omega) (forall @t323 (=> (tptp.element @t320 (tptp.powerset (tptp.powerset @t325))) (not (and (not (= @t320 tptp.empty_set)) (forall @t322 (not (and @t321 (forall @t360 (=> (and (tptp.in @t356 @t320) (tptp.subset @t319 @t356)) (= @t356 @t319)))))))))))))) @t76)) (exists @t11 (forall @t106 (= @t166 (exists @t100 (and (tptp.in @t75 @t160) @t387 (exists @t359 (and (tptp.ordinal @t354) (= @t41 @t354) (=> (tptp.in @t354 tptp.omega) (forall @t357 (=> (tptp.element @t355 (tptp.powerset (tptp.powerset @t354))) (not (and (not (= @t355 tptp.empty_set)) (forall @t353 (not (and (tptp.in @t350 @t355) (forall @t352 (=> (and (tptp.in @t348 @t355) (tptp.subset @t350 @t348)) (= @t348 @t350)))))))))))))))))))))) % 45.24/45.47 (assume @p294 (forall @t6 (=> @t392 (=> (forall @t242 (=> (and @t76 (exists @t240 (and (tptp.element @t187 @t116) (= @t187 @t75) (tptp.closed_subset @t187 @t1) @t390)) @t384 (exists @t333 (and (tptp.element @t331 @t116) (= @t331 @t88) (tptp.closed_subset @t331 @t1) (tptp.subset @t2 @t88)))) @t324)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t391 @t382 (exists @t329 (and (tptp.element @t326 @t116) (= @t326 @t75) (tptp.closed_subset @t326 @t1) @t390))))))))))) % 45.24/45.47 (assume @p295 (forall @t6 (=> @t394 (=> (forall @t242 (=> (and @t76 @t393 @t384 (tptp.in (tptp.set_difference @t195 @t88) @t2)) @t324)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t391 @t382 @t393))))))))) % 45.24/45.47 (assume @p296 (forall @t6 (=> @t395 (=> (forall @t242 (=> (and @t76 (exists @t240 (and @t189 (= @t75 (tptp.set_difference @t187 @t159)))) @t384 (exists @t333 (and (tptp.in @t331 @t2) (= @t88 (tptp.set_difference @t331 @t159))))) @t324)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t24) @t382 (exists @t329 (and (tptp.in @t326 @t2) (= @t75 (tptp.set_difference @t326 @t159))))))))))))) % 45.24/45.47 (assume @p297 (forall @t45 (=> @t368 (=> (forall @t381 (=> (and @t324 (exists @t380 (and (= @t88 @t379) (tptp.in (tptp.ordered_pair @t397 (tptp.apply @t41 @t326)) @t2))) @t376 (exists (@list @t325 @t320) (and (= @t187 (tptp.ordered_pair @t325 @t320)) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t325) (tptp.apply @t41 @t320)) @t2)))) @t373)) (exists @t100 (forall @t98 (= @t138 (exists @t240 (and (tptp.in @t187 @t396) @t371 (exists @t375 (and (= @t88 @t374) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t319) (tptp.apply @t41 @t356)) @t2)))))))))))) % 45.24/45.47 (assume @p298 (forall @t13 (=> (forall @t146 (=> (and @t156 @t340 @t179 @t347) @t76)) (exists @t11 (forall @t106 (= @t166 (exists @t100 (and @t171 @t387 @t340)))))))) % 45.24/45.47 (assume @p299 (forall @t45 (=> @t400 (=> (forall @t381 (=> (and @t324 @t398 @t376 (tptp.in (tptp.relation_image @t41 @t187) @t2)) @t373)) (exists @t100 (forall @t98 (= @t138 (exists @t240 (and (tptp.in @t187 @t399) @t371 @t398))))))))) % 45.24/45.47 (assume @p300 (forall @t6 (=> @t29 (=> (forall @t242 (=> (and @t76 (exists @t240 (and (tptp.ordinal @t187) @t376 @t366)) @t384 (exists @t333 (and (tptp.ordinal @t331) (= @t88 @t331) @t378))) @t324)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t401) @t382 (exists @t329 (and (tptp.ordinal @t326) (= @t75 @t326) @t383))))))))))) % 45.24/45.47 (assume @p301 (forall @t6 (=> @t336 (forall @t106 (exists @t100 (forall @t98 (= @t138 (and (tptp.in @t88 @t372) (exists @t386 (and (= @t385 @t88) @t366 (exists @t329 (and (= @t187 @t326) (tptp.in @t331 @t326) (forall @t328 (=> @t327 (tptp.in (tptp.ordered_pair @t331 @t325) @t2))))))))))))))) % 45.24/45.47 (assume @p302 (forall @t6 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t75 @t43) (exists @t190 (and (= @t188 @t75) @t104 (= @t187 (tptp.singleton @t88)))))))))) % 45.24/45.47 (assume @p303 (forall @t13 (=> @t32 (exists @t11 (forall @t106 (= @t166 (and (tptp.in @t41 @t160) (exists @t100 (and @t347 @t76 @t362))))))))) % 45.24/45.47 (assume @p304 (forall @t6 (=> @t392 (exists @t106 (forall @t100 (= @t99 (and @t403 @t402))))))) % 45.24/45.47 (assume @p305 (forall @t6 (=> @t394 (exists @t106 (forall @t100 (= @t99 (and @t403 @t393))))))) % 45.24/45.47 (assume @p306 (forall @t6 (=> @t395 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t75 @t24) (exists @t98 (and @t96 (= @t75 (tptp.set_difference @t88 @t159))))))))))) % 45.24/45.47 (assume @p307 (forall @t45 (=> @t368 (exists @t100 (forall @t98 (= @t138 (and (tptp.in @t88 @t396) (exists @t386 (and (= @t88 @t385) (tptp.in (tptp.ordered_pair @t365 @t397) @t2)))))))))) % 45.24/45.47 (assume @p308 (forall @t13 (exists @t11 (forall @t106 (= @t166 (and @t77 @t340)))))) % 45.24/45.47 (assume @p309 (forall @t45 (=> @t400 (exists @t100 (forall @t98 (= @t138 (and (tptp.in @t88 @t399) @t398))))))) % 45.24/45.47 (assume @p310 (forall @t6 (=> @t29 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t75 @t401) (exists @t98 (and @t389 @t324 @t104))))))))) % 45.24/45.47 (assume @p311 (forall @t6 (=> @t336 (=> (and (forall @t242 (=> (and @t77 @t334 @t330) @t324)) (forall @t106 (not (and @t77 (forall @t100 (not (exists @t323 (and (= @t41 @t320) @t370 @t369)))))))) (exists @t106 (and @t42 @t213 @t211 (forall @t100 (=> @t171 (exists @t360 (and (= @t75 @t356) (tptp.in @t234 @t356) (forall @t359 (=> @t358 (tptp.in (tptp.ordered_pair @t234 @t354) @t2))))))))))))) % 45.24/45.47 (assume @p312 (forall @t13 (=> (and (forall @t146 (=> (and @t3 @t338 @t337) @t76)) (forall @t11 (not (and @t3 (forall @t106 (not @t338)))))) @t406))) % 45.24/45.47 (assume @p313 (=> (forall @t13 (=> @t32 (=> (forall @t11 (=> @t29 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t106 (=> (tptp.element @t41 (tptp.powerset @t258)) (not (and @t197 (forall @t100 (not (and @t99 (forall @t98 (=> (and (tptp.in @t88 @t41) (tptp.subset @t75 @t88)) @t382))))))))))))) (=> @t407 (forall @t240 (=> (tptp.element @t187 @t244) @t388)))))) (forall @t13 (=> @t32 (=> @t407 (forall @t328 (=> (tptp.element @t325 @t244) (not (and (not (= @t325 tptp.empty_set)) (forall @t323 (not (and @t377 (forall @t322 (=> (and (tptp.in @t319 @t325) (tptp.subset @t320 @t319)) (= @t319 @t320))))))))))))))) % 45.24/45.47 (assume @p314 (forall @t13 @t406)) % 45.24/45.47 (assume @p315 (forall @t6 (=> @t392 (exists @t106 (and @t409 (forall @t100 (=> @t408 (= @t99 @t402)))))))) % 45.24/45.47 (assume @p316 (forall @t6 (=> @t394 (exists @t106 (and @t409 (forall @t100 (=> @t408 (= @t99 @t393)))))))) % 45.24/45.47 (assume @p317 (forall @t6 (=> @t237 (tptp.disjoint @t2 @t1)))) % 45.24/45.47 (assume @p318 (forall @t6 (=> @t214 (tptp.equipotent @t2 @t1)))) % 45.24/45.47 (assume @p319 (forall @t13 (tptp.in @t1 @t160))) % 45.24/45.47 (assume @p320 (forall @t139 (not (and (= @t53 (tptp.unordered_pair @t41 @t75)) (not @t410) (not (= @t1 @t75)))))) % 45.24/45.47 (assume @p321 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t41))) (and @t5 (tptp.in @t1 @t209)))))) % 45.24/45.47 (assume @p322 (forall @t6 (=> @t83 (tptp.subset @t411 @t1)))) % 45.24/45.47 (assume @p323 (forall @t6 (=> @t83 (tptp.subset @t105 @t2)))) % 45.24/45.47 (assume @p324 (forall @t6 (=> @t83 (tptp.subset @t411 @t141)))) % 45.24/45.47 (assume @p325 (forall @t45 (=> @t85 (and (tptp.subset @t372 (tptp.cartesian_product2 @t2 @t41)) (tptp.subset (tptp.cartesian_product2 @t41 @t1) (tptp.cartesian_product2 @t41 @t2)))))) % 45.24/45.47 (assume @p326 (forall @t6 (=> @t83 (= @t411 (tptp.set_intersection2 @t141 @t1))))) % 45.24/45.47 (assume @p327 (forall @t139 (=> (and @t85 @t174) (tptp.subset @t372 (tptp.cartesian_product2 @t2 @t75))))) % 45.24/45.47 (assume @p328 (forall @t45 (=> @t152 (and (tptp.subset @t210 @t1) (tptp.subset @t209 @t2))))) % 45.24/45.47 (assume @p329 (forall @t6 (=> @t85 (= @t55 @t2)))) % 45.24/45.47 (assume @p330 (forall @t13 (exists @t11 (and @t5 @t414 (forall @t106 (=> @t166 (tptp.in @t413 @t2))) @t412)))) % 45.24/45.47 (assume @p331 (forall @t6 (=> (and @t85 @t48) @t33))) % 45.24/45.47 (assume @p332 (forall @t45 (=> @t42 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t41) @t2) (tptp.relation_rng_restriction @t1 @t415))))) % 45.24/45.47 (assume @p333 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_image @t41 @t2)) (exists @t100 (and (tptp.in @t75 @t210) (tptp.in (tptp.ordered_pair @t75 @t1) @t41) @t91)))))) % 45.24/45.47 (assume @p334 (forall @t6 (=> @t83 (tptp.subset @t416 @t141)))) % 45.24/45.47 (assume @p335 (forall @t6 (=> @t295 (tptp.subset @t418 @t1)))) % 45.24/45.47 (assume @p336 (forall @t6 (=> @t83 (= @t416 (tptp.relation_image @t2 @t419))))) % 45.24/45.47 (assume @p337 (forall @t6 (=> @t83 (=> (tptp.subset @t1 @t140) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t416)))))) % 45.24/45.47 (assume @p338 (forall @t13 (=> @t40 (= (tptp.relation_image @t1 @t97) @t217)))) % 45.24/45.47 (assume @p339 (forall @t6 (=> @t295 (=> @t420 (= @t418 @t1))))) % 45.24/45.47 (assume @p340 (forall @t139 (=> @t423 (=> (tptp.subset @t422 @t2) @t421)))) % 45.24/45.47 (assume @p341 (forall @t13 (=> @t181 (forall @t11 (=> @t129 (= (tptp.subset_intersection2 @t57 @t2 @t195) @t2)))))) % 45.24/45.47 (assume @p342 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= @t424 (tptp.relation_image @t2 @t217))))))) % 45.24/45.47 (assume @p343 (forall @t45 (=> @t42 (= (tptp.in @t1 @t425) (exists @t100 (and (tptp.in @t75 @t209) (tptp.in (tptp.ordered_pair @t1 @t75) @t41) @t91)))))) % 45.24/45.47 (assume @p344 (forall @t6 (=> @t83 (tptp.subset @t417 @t140)))) % 45.24/45.47 (assume @p345 (forall @t139 (=> @t423 (=> @t85 @t421)))) % 45.24/45.47 (assume @p346 (forall @t45 (=> @t42 (= (tptp.in @t1 @t426) (and @t312 (tptp.in @t1 @t230)))))) % 45.24/45.47 (assume @p347 (forall @t6 (=> @t83 (not (and @t172 @t420 (= @t417 tptp.empty_set)))))) % 45.24/45.47 (assume @p348 (forall @t45 (=> @t42 (=> @t85 (tptp.subset (tptp.relation_inverse_image @t41 @t1) @t425))))) % 45.24/45.47 (assume @p349 (forall @t6 (=> @t295 (=> @t33 (tptp.finite @t416))))) % 45.24/45.47 (assume @p350 @t431) % 45.24/45.47 (assume @p351 (forall @t6 (=> @t83 (= @t432 (tptp.relation_dom_restriction @t105 @t1))))) % 45.24/45.47 (assume @p352 (forall @t6 (tptp.subset @t65 @t1))) % 45.24/45.47 (assume @p353 (forall @t13 (=> @t33 (forall @t11 (=> @t245 (not (and @t185 (forall @t106 (not (and @t166 (forall @t100 (=> (and @t91 @t174) @t387)))))))))))) % 45.24/45.47 (assume @p354 (forall @t6 (=> @t83 (= @t432 (tptp.relation_rng_restriction @t1 @t433))))) % 45.24/45.47 (assume @p355 (forall @t45 (=> @t42 (=> (tptp.in @t1 (tptp.relation_field @t426)) (and @t435 @t5))))) % 45.24/45.47 (assume @p356 (forall @t45 (=> (and @t85 @t436) (tptp.subset @t1 @t317)))) % 45.24/45.47 (assume @p357 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 45.24/45.47 (assume @p358 @t438) % 45.24/45.47 (assume @p359 (forall @t45 (=> (and @t85 @t363) @t436))) % 45.24/45.47 (assume @p360 (= @t364 (tptp.singleton tptp.empty_set))) % 45.24/45.47 (assume @p361 (forall @t45 (=> @t42 (=> @t440 (and @t439 (tptp.in @t2 @t209)))))) % 45.24/45.47 (assume @p362 (forall @t6 (=> @t83 (and (tptp.subset @t441 @t175) (tptp.subset @t441 @t1))))) % 45.24/45.47 (assume @p363 (forall @t6 (=> @t295 (forall @t106 (=> @t236 (= @t444 (and @t439 (tptp.in @t442 @t140)))))))) % 45.24/45.47 (assume @p364 (forall @t139 (=> @t446 (forall @t98 (=> (and (tptp.relation @t88) (tptp.function @t88)) (=> @t77 (or @t150 (= (tptp.apply (tptp.relation_composition @t75 @t88) @t41) (tptp.apply @t88 @t445))))))))) % 45.24/45.47 (assume @p365 (forall @t13 (=> @t38 (forall @t11 (=> @t29 (=> @t8 @t5)))))) % 45.24/45.47 (assume @p366 (forall @t13 (=> @t40 (tptp.subset @t1 (tptp.cartesian_product2 @t97 @t217))))) % 45.24/45.47 (assume @p367 (forall @t45 (=> @t42 (tptp.subset (tptp.fiber (tptp.relation_restriction @t41 @t1) @t2) (tptp.fiber @t41 @t2))))) % 45.24/45.47 (assume @p368 (forall @t6 (=> @t295 (forall @t106 (=> @t236 (=> @t444 (= (tptp.apply @t443 @t1) (tptp.apply @t2 @t442)))))))) % 45.24/45.47 (assume @p369 (forall @t13 (=> @t181 (forall @t11 (=> @t129 (= (tptp.subset_difference @t57 @t195 @t224) @t2)))))) % 45.24/45.47 (assume @p370 (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))))) % 45.24/45.47 (assume @p371 (forall @t6 (=> @t83 (=> @t447 (tptp.reflexive @t432))))) % 45.24/45.47 (assume @p372 (forall @t6 (=> @t295 (forall @t106 (=> @t236 (=> (tptp.in @t1 @t140) (= (tptp.apply (tptp.relation_composition @t2 @t41) @t1) (tptp.apply @t41 (tptp.apply @t2 @t1))))))))) % 45.24/45.47 (assume @p373 (forall @t13 (=> (and @t62 @t68 @t238 @t239) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (tptp.below @t1 @t66 @t2)))))))) % 45.24/45.47 (assume @p374 (forall @t6 (=> @t29 (=> @t5 @t32)))) % 45.24/45.47 (assume @p375 (forall @t45 (=> @t152 (= (forall @t100 (not (and @t91 (forall @t98 (not (tptp.in @t135 @t41)))))) (= @t259 @t2))))) % 45.24/45.47 (assume @p376 (forall @t6 (=> @t83 (=> @t448 (tptp.connected @t432))))) % 45.24/45.47 (assume @p377 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (not (and @t305 @t246 @t4))))))) % 45.24/45.47 (assume @p378 (forall @t6 (=> @t83 (=> @t449 (tptp.transitive @t432))))) % 45.24/45.47 (assume @p379 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (=> @t85 (and (tptp.subset @t97 @t140) (tptp.subset @t217 @t141)))))))) % 45.24/45.47 (assume @p380 (forall @t6 (=> @t83 (=> @t450 (tptp.antisymmetric @t432))))) % 45.24/45.47 (assume @p381 (forall @t6 (=> @t83 (=> @t453 (and @t452 @t451))))) % 45.24/45.47 (assume @p382 (forall @t13 (=> @t103 (=> (tptp.finite @t97) (tptp.finite @t217))))) % 45.24/45.47 (assume @p383 (forall @t13 (=> (and @t62 @t61 @t60) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (=> (and @t191 (tptp.below @t1 @t41 @t2)) @t156)))))))) % 45.24/45.47 (assume @p384 (forall @t13 (exists @t11 (and @t83 @t453)))) % 45.24/45.47 (assume @p385 (forall @t45 (=> @t85 (tptp.subset (tptp.set_intersection2 @t1 @t41) @t317)))) % 45.24/45.47 (assume @p386 (forall @t13 (=> @t184 (not (and (forall @t11 (not (and @t3 @t150))) (forall @t11 (=> @t295 (not (and @t405 (forall @t106 (=> @t77 (tptp.in @t404 @t41)))))))))))) % 45.24/45.47 (assume @p387 (forall @t6 (=> @t85 (= @t65 @t1)))) % 45.24/45.47 (assume @p388 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 45.24/45.47 (assume @p389 (forall @t6 (=> @t437 (or @t183 @t5)))) % 45.24/45.47 (assume @p390 (forall @t6 (=> (forall @t106 (= @t77 @t166)) @t86))) % 45.24/45.47 (assume @p391 (forall @t13 (tptp.reflexive @t176))) % 45.24/45.47 (assume @p392 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 45.24/45.47 (assume @p393 (forall @t45 (=> @t42 (=> @t440 (and @t435 (tptp.in @t2 @t434)))))) % 45.24/45.47 (assume @p394 (forall @t13 (=> (forall @t11 (=> @t3 (and @t29 @t84))) @t32))) % 45.24/45.47 (assume @p395 (forall @t6 (=> @t83 (=> @t454 (tptp.well_founded_relation @t432))))) % 45.24/45.47 (assume @p396 (forall @t6 (=> @t29 (not (and @t85 @t172 (forall @t106 (=> @t340 (not (and @t77 (forall @t100 (=> @t347 (=> @t171 (tptp.ordinal_subset @t41 @t75))))))))))))) % 45.24/45.47 (assume @p397 (forall @t6 (=> @t83 (=> @t306 @t451)))) % 45.24/45.47 (assume @p398 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (= @t5 (tptp.ordinal_subset @t160 @t2))))))) % 45.24/45.47 (assume @p399 (forall @t45 (=> @t85 (tptp.subset (tptp.set_difference @t1 @t41) @t318)))) % 45.24/45.47 (assume @p400 (forall @t139 (=> (= @t221 @t78) (and @t410 @t179)))) % 45.24/45.47 (assume @p401 (forall @t6 (=> @t295 (= @t82 (and @t405 (forall @t106 (=> @t77 (= @t404 @t41)))))))) % 45.24/45.47 (assume @p402 (forall @t6 (=> @t3 (= (tptp.apply @t81 @t2) @t2)))) % 45.24/45.47 (assume @p403 (forall @t6 (tptp.subset @t215 @t1))) % 45.24/45.47 (assume @p404 (forall @t13 (=> @t40 (and (= @t217 (tptp.relation_dom @t232)) (= @t97 (tptp.relation_rng @t232)))))) % 45.24/45.47 (assume @p405 (forall @t45 (= (tptp.subset @t53 @t41) (and @t312 @t194)))) % 45.24/45.47 (assume @p406 (forall @t6 (=> @t83 (=> (and @t306 (tptp.subset @t1 @t175)) @t452)))) % 45.24/45.47 (assume @p407 (forall @t6 (= @t455 @t55))) % 45.24/45.47 (assume @p408 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 45.24/45.47 (assume @p409 (forall @t45 (not (and @t5 @t194 @t77)))) % 45.24/45.47 (assume @p410 (forall @t6 (= @t313 @t85))) % 45.24/45.47 (assume @p411 (forall @t13 (tptp.transitive @t176))) % 45.24/45.47 (assume @p412 @t465) % 45.24/45.47 (assume @p413 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t149))) % 45.24/45.47 (assume @p414 (forall @t6 (= (tptp.set_difference @t55 @t2) @t215))) % 45.24/45.47 (assume @p415 (forall @t13 (=> @t32 (= @t219 (forall @t11 (=> @t29 (=> @t3 (tptp.in @t401 @t1)))))))) % 45.24/45.47 (assume @p416 (forall @t13 (=> @t32 (and (not (and (not @t219) (forall @t11 (=> @t29 (not @t466))))) (not (and (exists @t11 (and @t29 @t466)) @t219)))))) % 45.24/45.47 (assume @p417 @t472) % 45.24/45.47 (assume @p418 @t481) % 45.24/45.47 (assume @p419 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (tptp.subset @t482 @t97)))))) % 45.24/45.47 (assume @p420 (forall @t13 (=> @t132 (forall @t11 (=> @t129 (forall @t106 (=> (tptp.in @t41 @t57) (= (tptp.in @t41 @t123) (forall @t100 (=> @t408 (=> @t484 @t170))))))))))) % 45.24/45.47 (assume @p421 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (tptp.subset @t424 @t141)))))) % 45.24/45.47 (assume @p422 (forall @t6 (=> @t85 (= @t2 @t455)))) % 45.24/45.47 (assume @p423 (forall @t139 (=> @t446 (=> @t185 (forall @t98 (= (tptp.in @t88 (tptp.relation_inverse_image @t75 @t41)) (and @t104 (tptp.in (tptp.apply @t75 @t88) @t41)))))))) % 45.24/45.47 (assume @p424 @t494) % 45.24/45.47 (assume @p425 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (=> (tptp.subset @t217 @t140) (= @t482 @t97))))))) % 45.24/45.47 (assume @p426 (forall @t6 (=> @t245 (not (and @t185 (= @t243 tptp.empty_set)))))) % 45.24/45.47 (assume @p427 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (=> (tptp.subset @t97 @t141) (= (tptp.relation_rng @t269) @t217))))))) % 45.24/45.47 (assume @p428 (forall @t6 (=> @t245 (=> @t185 (= (tptp.subset_difference @t1 @t205 @t260) (tptp.meet_of_subsets @t1 @t243)))))) % 45.24/45.47 (assume @p429 (forall @t13 (=> @t132 (forall @t11 (=> @t129 (tptp.subset @t2 @t123)))))) % 45.24/45.47 (assume @p430 (forall @t6 (=> @t245 (=> @t185 (= (tptp.union_of_subsets @t1 @t243) (tptp.subset_difference @t1 @t205 @t262)))))) % 45.24/45.47 (assume @p431 (forall @t6 (= (tptp.set_difference @t1 @t215) @t65))) % 45.24/45.47 (assume @p432 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t106 (=> @t236 (=> @t235 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t41)))))))))) % 45.24/45.47 (assume @p433 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 45.24/45.47 (assume @p434 (forall @t45 (=> (and @t5 @t495) (tptp.element @t1 @t41)))) % 45.24/45.47 (assume @p435 (forall @t13 (=> @t32 (tptp.connected @t176)))) % 45.24/45.47 (assume @p436 (forall @t6 (and (not (and @t461 (forall @t106 (not @t496)))) (not (and (exists @t106 @t496) @t237))))) % 45.24/45.47 (assume @p437 @t504) % 45.24/45.47 (assume @p438 @t514) % 45.24/45.47 (assume @p439 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t106 (=> @t236 (=> @t235 (and (=> @t207 @t447) (=> @t137 @t449) (=> @t136 @t448) (=> @t108 @t450) (=> @t186 @t454)))))))))) % 45.24/45.47 (assume @p440 (forall @t13 (=> @t103 (=> @t49 (forall @t11 (=> @t295 (= (= @t2 @t247) (and (= @t140 @t217) (forall @t80 (and (=> @t515 @t216) (=> @t216 @t515))))))))))) % 45.24/45.47 (assume @p441 (forall @t45 (=> @t71 (not (and (tptp.in @t2 @t467) @t194))))) % 45.24/45.47 (assume @p442 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t106 (=> @t236 (=> (and @t208 @t235) @t306)))))))) % 45.24/45.47 (assume @p443 (forall @t13 (=> @t103 (=> @t49 (and (= @t217 (tptp.relation_dom @t247)) (= @t97 (tptp.relation_rng @t247))))))) % 45.24/45.47 (assume @p444 (forall @t13 (=> @t40 (=> (forall @t95 @t309) @t149)))) % 45.24/45.47 (assume @p445 (forall @t6 (=> @t295 (=> (and @t316 (tptp.in @t1 @t141)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t516 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t516 @t2) @t1))))))) % 45.24/45.47 (assume @p446 (forall @t45 (not (and @t5 @t495 (tptp.empty @t41))))) % 45.24/45.47 (assume @p447 (forall @t13 (=> @t40 (= @t186 (tptp.is_well_founded_in @t1 @t107))))) % 45.24/45.47 (assume @p448 (forall @t13 (tptp.antisymmetric @t176))) % 45.24/45.47 (assume @p449 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 45.24/45.47 (assume @p450 (forall @t6 (not (and @t85 @t7)))) % 45.24/45.47 (assume @p451 (forall @t13 (=> @t103 (=> @t49 (tptp.one_to_one @t247))))) % 45.24/45.47 (assume @p452 (forall @t45 (=> (and @t85 @t468) (tptp.disjoint @t1 @t41)))) % 45.24/45.47 (assume @p453 (forall @t13 (=> @t40 (=> (or @t518 @t517) @t149)))) % 45.24/45.47 (assume @p454 (forall @t13 (=> @t40 (= @t518 @t517)))) % 45.24/45.47 (assume @p455 (forall @t6 (= (= (tptp.set_difference @t1 @t310) @t1) @t4))) % 45.24/45.47 (assume @p456 (forall @t6 (=> @t295 (forall @t106 (=> @t236 (= (= @t2 @t314) (and (= @t140 (tptp.set_intersection2 @t210 @t1)) (forall @t100 (=> (tptp.in @t75 @t140) (= (tptp.apply @t2 @t75) @t234)))))))))) % 45.24/45.47 (assume @p457 (forall @t13 (= (tptp.unordered_pair @t1 @t1) @t159))) % 45.24/45.47 (assume @p458 (forall @t13 (=> @t22 @t149))) % 45.24/45.47 (assume @p459 (forall @t139 (=> @t446 (=> @t77 (or @t150 (tptp.in @t445 @t422)))))) % 45.24/45.47 (assume @p460 (forall @t13 (=> @t32 (tptp.well_founded_relation @t176)))) % 45.24/45.47 (assume @p461 (forall @t6 (=> (tptp.subset @t159 @t310) @t86))) % 45.24/45.47 (assume @p462 (forall @t45 (=> @t236 (=> @t315 @t519)))) % 45.24/45.47 (assume @p463 (forall @t13 (and (= (tptp.relation_dom @t81) @t1) (= (tptp.relation_rng @t81) @t1)))) % 45.24/45.47 (assume @p464 (forall @t45 (=> @t236 (=> @t3 @t519)))) % 45.24/45.47 (assume @p465 (forall @t139 (=> @t367 (= (tptp.in @t221 (tptp.relation_composition (tptp.identity_relation @t41) @t75)) (and @t312 (tptp.in @t221 @t75)))))) % 45.24/45.47 (assume @p466 @t520) % 45.24/45.47 (assume @p467 (forall @t6 (and (= (tptp.pair_first @t221) @t1) (= (tptp.pair_second @t221) @t2)))) % 45.24/45.47 (assume @p468 (forall @t6 (not (and @t5 (forall @t106 (not (and @t166 (forall @t100 (not (and @t91 @t99)))))))))) % 45.24/45.47 (assume @p469 (forall @t13 (=> @t32 (tptp.well_ordering @t176)))) % 45.24/45.47 (assume @p470 (forall @t6 (tptp.subset @t1 @t55))) % 45.24/45.47 (assume @p471 (forall @t6 (= @t237 (= @t215 @t1)))) % 45.24/45.47 (assume @p472 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_dom @t415)) (and @t5 @t439))))) % 45.24/45.47 (assume @p473 (forall @t6 (=> @t83 (tptp.subset @t433 @t2)))) % 45.24/45.47 (assume @p474 (forall @t6 (not (and @t22 @t246 @t183)))) % 45.24/45.47 (assume @p475 (forall @t45 (=> @t236 (= @t440 (and @t439 (= @t2 @t442)))))) % 45.24/45.47 (assume @p476 (forall @t13 (=> @t40 (= (tptp.well_orders @t1 @t107) @t208)))) % 45.24/45.47 (assume @p477 (forall @t45 (=> (and @t85 @t198) (tptp.subset (tptp.set_union2 @t1 @t41) @t2)))) % 45.24/45.47 (assume @p478 (forall @t45 (=> @t521 @t86))) % 45.24/45.47 (assume @p479 (forall @t6 (=> @t83 (= (tptp.relation_dom @t433) @t419)))) % 45.24/45.47 (assume @p480 (forall @t6 (=> @t83 (= @t433 (tptp.relation_composition @t81 @t2))))) % 45.24/45.47 (assume @p481 (forall @t6 (=> @t83 (tptp.subset (tptp.relation_rng @t433) @t141)))) % 45.24/45.47 (assume @p482 (forall @t13 (= (tptp.union @t24) @t1))) % 45.24/45.47 (assume @p483 (forall @t139 (=> @t446 (=> @t363 (or (and @t150 @t172) (and @t249 (tptp.quasi_total @t75 @t1 @t41) (tptp.relation_of2_as_subset @t75 @t1 @t41))))))) % 45.24/45.47 (assume @p484 (forall @t13 (exists @t11 (and @t5 @t414 (forall @t106 (not (and @t166 (forall @t100 (not (and @t91 (forall @t98 (=> (tptp.subset @t88 @t41) @t138)))))))) @t412)))) % 45.24/45.47 (assume @p485 (forall @t45 (=> @t521 @t156))) % 45.24/45.47 (step @p486 :rule aci_norm :args ((= @t530 (or @t528 @t527 @t526 @t525 @t523)))) % 45.24/45.47 (step @p487 :rule cong :premises (@p486) :args (@t531)) % 45.24/45.47 (step @p488 :rule quant-merge-prenex :args ((= (forall @t13 @t533) @t531))) % 45.24/45.47 (step @p489 :rule alpha_equiv :args (@t534 (@list @t522) @t535)) % 45.24/45.47 (step @p490 :rule refl :args (@t527)) % 45.24/45.47 (step @p491 :rule refl :args (@t528)) % 45.24/45.47 (step @p492 :rule nary_cong :premises (@p491 @p490 @p489) :args (@t536)) % 45.24/45.47 (step @p493 :rule quant-miniscope-or :args ((= @t533 @t536))) % 45.24/45.47 (step @p494 :rule trans :premises (@p493 @p492)) % 45.24/45.47 (step @p495 :rule symm :premises (@p494)) % 45.24/45.47 (step @p496 :rule cong :premises (@p495) :args ((forall @t13 @t543))) % 45.24/45.47 (step @p497 :rule trans :premises (@p496 @p488)) % 45.24/45.47 (step @p498 :rule trans :premises (@p497 @p487)) % 45.24/45.47 (step @p499 :rule aci_norm :args ((= (or @t544 @t542) @t543))) % 45.24/45.47 (step @p500 :rule refl :args (@t542)) % 45.24/45.47 (step @p501 :rule bool-and-de-morgan :args (@t165 @t132 true)) % 45.24/45.47 (step @p502 :rule nary_cong :premises (@p501 @p500) :args ((or @t545 @t542))) % 45.24/45.47 (step @p503 :rule trans :premises (@p502 @p499)) % 45.24/45.47 (step @p504 :rule bool-impl-elim :args (@t296 @t542)) % 45.24/45.47 (step @p505 :rule trans :premises (@p504 @p503)) % 45.24/45.47 (step @p506 :rule cong :premises (@p505) :args ((forall @t13 (=> @t296 @t542)))) % 45.24/45.47 (step @p507 :rule trans :premises (@p506 @p498)) % 45.24/45.47 (step @p508 :rule aci_norm :args ((= (or @t540 (or @t539 @t473)) @t541))) % 45.24/45.47 (step @p509 :rule bool-impl-elim :args (@t538 @t473)) % 45.24/45.47 (step @p510 :rule refl :args (@t540)) % 45.24/45.47 (step @p511 :rule nary_cong :premises (@p510 @p509) :args ((or @t540 @t546))) % 45.24/45.47 (step @p512 :rule trans :premises (@p511 @p508)) % 45.24/45.47 (step @p513 :rule bool-impl-elim :args (@t164 @t546)) % 45.24/45.47 (step @p514 :rule trans :premises (@p513 @p512)) % 45.24/45.47 (step @p515 :rule cong :premises (@p514) :args ((forall @t11 (=> @t164 @t546)))) % 45.24/45.47 (step @p516 :rule refl :args (@t473)) % 45.24/45.47 (step @p517 :rule aci_norm :args ((= (or @t524 (or @t192 @t474)) @t537))) % 45.24/45.47 (step @p518 :rule bool-impl-elim :args (@t166 @t474)) % 45.24/45.47 (step @p519 :rule refl :args (@t524)) % 45.24/45.47 (step @p520 :rule nary_cong :premises (@p519 @p518) :args ((or @t524 @t475))) % 45.24/45.47 (step @p521 :rule trans :premises (@p520 @p517)) % 45.24/45.47 (step @p522 :rule bool-impl-elim :args (@t126 @t475)) % 45.24/45.47 (step @p523 :rule trans :premises (@p522 @p521)) % 45.24/45.47 (step @p524 :rule cong :premises (@p523) :args (@t476)) % 45.24/45.47 (step @p525 :rule cong :premises (@p524 @p516) :args (@t477)) % 45.24/45.47 (step @p526 :rule refl :args (@t164)) % 45.24/45.47 (step @p527 :rule cong :premises (@p526 @p525) :args (@t478)) % 45.24/45.47 (step @p528 :rule cong :premises (@p527) :args (@t479)) % 45.24/45.47 (step @p529 :rule trans :premises (@p528 @p515)) % 45.24/45.47 (step @p530 :rule refl :args (@t296)) % 45.24/45.47 (step @p531 :rule cong :premises (@p530 @p529) :args (@t480)) % 45.24/45.47 (step @p532 :rule cong :premises (@p531) :args (@t481)) % 45.24/45.47 (step @p533 :rule trans :premises (@p532 @p507)) % 45.24/45.47 (step @p534 :rule eq_resolve :premises (@p418 @p533)) % 45.24/45.47 (step @p535 :rule instantiate :premises (@p534) :args ((@list @t555 @t567))) % 45.24/45.47 (step @p536 :rule eq-symm :args (@t569 @t485)) % 45.24/45.47 (step @p537 :rule cong :premises (@p536) :args (@t570)) % 45.24/45.47 (step @p538 :rule refl :args (@t572)) % 45.24/45.47 (step @p539 :rule refl :args (@t573)) % 45.24/45.47 (step @p540 :rule nary_cong :premises (@p539 @p538 @p537) :args (@t574)) % 45.24/45.47 (step @p541 :rule cong :premises (@p540) :args (@t575)) % 45.24/45.47 (step @p542 :rule cong :premises (@p541) :args (@t576)) % 45.24/45.47 (step @p543 :rule refl :args (@t577)) % 45.24/45.47 (step @p544 :rule refl :args (@t527)) % 45.24/45.47 (step @p545 :rule refl :args (@t528)) % 45.24/45.47 (step @p546 :rule nary_cong :premises (@p545 @p544 @p543 @p542) :args (@t578)) % 45.24/45.47 (step @p547 :rule aci_norm :args ((= @t580 @t578))) % 45.24/45.47 (step @p548 :rule trans :premises (@p547 @p546)) % 45.24/45.47 (step @p549 :rule cong :premises (@p548) :args (@t582)) % 45.24/45.47 (step @p550 :rule quant-merge-prenex :args ((= (forall @t13 @t584) @t582))) % 45.24/45.47 (step @p551 :rule alpha_equiv :args (@t585 (@list @t568) @t535)) % 45.24/45.47 (step @p552 :rule nary_cong :premises (@p491 @p490 @p551) :args (@t586)) % 45.24/45.47 (step @p553 :rule quant-miniscope-or :args ((= @t584 @t586))) % 45.24/45.47 (step @p554 :rule trans :premises (@p553 @p552)) % 45.24/45.47 (step @p555 :rule symm :premises (@p554)) % 45.24/45.47 (step @p556 :rule cong :premises (@p555) :args ((forall @t13 @t594))) % 45.24/45.47 (step @p557 :rule trans :premises (@p556 @p550)) % 45.24/45.47 (step @p558 :rule trans :premises (@p557 @p549)) % 45.24/45.47 (step @p559 :rule aci_norm :args ((= (or @t544 @t593) @t594))) % 45.24/45.47 (step @p560 :rule refl :args (@t593)) % 45.24/45.47 (step @p561 :rule nary_cong :premises (@p501 @p560) :args ((or @t545 @t593))) % 45.24/45.47 (step @p562 :rule trans :premises (@p561 @p559)) % 45.24/45.47 (step @p563 :rule bool-impl-elim :args (@t296 @t593)) % 45.24/45.47 (step @p564 :rule trans :premises (@p563 @p562)) % 45.24/45.47 (step @p565 :rule cong :premises (@p564) :args ((forall @t13 (=> @t296 @t593)))) % 45.24/45.47 (step @p566 :rule trans :premises (@p565 @p558)) % 45.24/45.47 (step @p567 :rule bool-impl-elim :args (@t129 @t591)) % 45.24/45.47 (step @p568 :rule cong :premises (@p567) :args ((forall @t11 (=> @t129 @t591)))) % 45.24/45.47 (step @p569 :rule aci_norm :args ((= (or @t573 (or @t589 @t587)) @t590))) % 45.24/45.47 (step @p570 :rule bool-and-de-morgan :args (@t588 @t486 true)) % 45.24/45.47 (step @p571 :rule refl :args (@t573)) % 45.24/45.47 (step @p572 :rule nary_cong :premises (@p571 @p570) :args ((or @t573 (not (and @t588 @t486))))) % 45.24/45.47 (step @p573 :rule bool-and-de-morgan :args (@t409 @t588 (and @t486))) % 45.24/45.47 (step @p574 :rule trans :premises (@p573 @p572)) % 45.24/45.47 (step @p575 :rule trans :premises (@p574 @p569)) % 45.24/45.47 (step @p576 :rule cong :premises (@p575) :args (@t596)) % 45.24/45.47 (step @p577 :rule cong :premises (@p576) :args (@t597)) % 45.24/45.47 (step @p578 :rule exists-elim :args ((= (exists @t106 @t595) @t597))) % 45.24/45.47 (step @p579 :rule trans :premises (@p578 @p577)) % 45.24/45.47 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% 45.24/45.47 (step @p1205 :rule eq_resolve :premises (@p1203 @p1200)) % 45.24/45.47 (step @p1206 :rule implies_elim :premises (@p1205)) % 45.24/45.47 (step @p1207 :rule eq_resolve :premises (@p1206 @p1189)) % 45.24/45.47 (step @p1208 :rule chain_m_resolution :premises (@p1207 @p1186) :args (@t869 @t646 (@list @t566))) % 45.24/45.47 (step @p1209 :rule bool-double-not-elim :args (@t861)) % 45.24/45.47 (step @p1210 :rule refl :args (@t868)) % 45.24/45.47 (step @p1211 :rule nary_cong :premises (@p1210 @p1209) :args ((or @t868 (not @t862)))) % 45.24/45.47 (step @p1212 :rule cnf_or_neg :args (@t868 2)) % 45.24/45.47 (step @p1213 :rule eq_resolve :premises (@p1212 @p1211)) % 45.24/45.47 (step @p1214 :rule reordering :premises (@p1213) :args ((or @t861 @t868))) % 45.24/45.47 (step @p1215 :rule chain_m_resolution :premises (@p1214 @p1208) :args (@t861 @t646 @t875)) % 45.24/45.47 (step @p1216 :rule bool-double-not-elim :args (@t615)) % 45.24/45.47 (step @p1217 :rule nary_cong :premises (@p1178 @p1216) :args ((or @t617 (not @t616)))) % 45.24/45.47 (step @p1218 :rule cnf_or_neg :args (@t617 1)) % 45.24/45.47 (step @p1219 :rule eq_resolve :premises (@p1218 @p1217)) % 45.24/45.47 (step @p1220 :rule reordering :premises (@p1219) :args ((or @t615 @t617))) % 45.24/45.47 (step @p1221 :rule chain_m_resolution :premises (@p1220 @p1176) :args (@t615 @t646 @t859)) % 45.24/45.47 (step @p1222 :rule refl :args (@t877)) % 45.24/45.47 (step @p1223 :rule refl :args (@t616)) % 45.24/45.47 (step @p1224 :rule nary_cong :premises (@p1169 @p1223 @p1190 @p1222) :args ((or @t858 @t616 @t862 @t877))) % 45.24/45.47 (assume-push @p1353 @t618) % 45.24/45.47 (assume-push @p1354 @t615) % 45.24/45.47 (assume-push @p1355 @t861) % 45.24/45.47 (assume-push @p1356 @t618) % 45.24/45.47 (assume-push @p1357 @t615) % 45.24/45.47 (assume-push @p1358 @t861) % 45.24/45.47 (step @p1231 :rule false_intro :premises (@p1353)) % 45.24/45.47 (step @p1232 :rule refl :args (@t555)) % 45.24/45.47 (step @p1233 :rule symm :premises (@p1354)) % 45.24/45.47 (step @p1234 :rule cong :premises (@p1233 @p1232) :args ((tptp.closed_subset @t559 @t555))) % 45.24/45.47 (step @p1235 :rule symm :premises (@p1355)) % 45.24/45.47 (step @p1236 :rule cong :premises (@p1235 @p1232) :args (@t876)) % 45.24/45.47 (step @p1237 :rule trans :premises (@p1236 @p1234 @p1231)) % 45.24/45.47 (step @p1238 :rule false_elim :premises (@p1237)) % 45.24/45.47 (step-pop @p1359 :rule scope :premises (@p1238)) % 45.24/45.47 (step-pop @p1360 :rule scope :premises (@p1359)) % 45.24/45.47 (step-pop @p1361 :rule scope :premises (@p1360)) % 45.24/45.47 (step @p1239 :rule process_scope :premises (@p1361) :args (@t877)) % 45.24/45.47 (step @p1243 :rule and_intro :premises (@p1353 @p1354 @p1355)) % 45.24/45.47 (step @p1244 :rule modus_ponens :premises (@p1243 @p1239)) % 45.24/45.47 (step-pop @p1362 :rule scope :premises (@p1244)) % 45.24/45.47 (step-pop @p1363 :rule scope :premises (@p1362)) % 45.24/45.47 (step-pop @p1364 :rule scope :premises (@p1363)) % 45.24/45.47 (step @p1245 :rule process_scope :premises (@p1364) :args (@t877)) % 45.24/45.47 (step @p1249 :rule implies_elim :premises (@p1245)) % 45.24/45.47 (step @p1250 :rule cnf_and_neg :args (@t878)) % 45.24/45.47 (step @p1251 :rule resolution :premises (@p1250 @p1249) :args (true @t878)) % 45.24/45.47 (step @p1252 :rule eq_resolve :premises (@p1251 @p1224)) % 45.24/45.47 (step @p1253 :rule chain_m_resolution :premises (@p1252 @p1168 @p1221 @p1215) :args (@t877 @t879 (@list @t614 @t615 @t861))) % 45.24/45.47 (step @p1254 :rule bool-double-not-elim :args (@t866)) % 45.24/45.47 (step @p1255 :rule nary_cong :premises (@p1210 @p1254) :args ((or @t868 (not @t867)))) % 45.24/45.47 (step @p1256 :rule cnf_or_neg :args (@t868 0)) % 45.24/45.47 (step @p1257 :rule eq_resolve :premises (@p1256 @p1255)) % 45.24/45.47 (step @p1258 :rule reordering :premises (@p1257) :args ((or @t866 @t868))) % 45.24/45.47 (step @p1259 :rule chain_m_resolution :premises (@p1258 @p1208) :args (@t866 @t646 @t875)) % 45.24/45.47 (step @p1260 :rule cnf_or_pos :args (@t882)) % 45.24/45.47 (step @p1261 :rule reordering :premises (@p1260) :args ((or @t605 @t607 @t867 @t881 @t876 (not @t882)))) % 45.24/45.47 (step @p1262 :rule chain_m_resolution :premises (@p1261 @p695 @p1183 @p1259 @p1253 @p535) :args (@t881 @t755 (@list @t604 @t606 @t866 @t876 @t882))) % 45.24/45.47 (step @p1263 :rule refl :args (@t890)) % 45.24/45.47 (step @p1264 :rule bool-double-not-elim :args (@t880)) % 45.24/45.47 (step @p1265 :rule nary_cong :premises (@p1264 @p1263) :args ((or (not @t881) @t890))) % 45.24/45.47 (assume-push @p1365 @t881) % 45.24/45.47 (step @p1267 :rule skolemize :premises (@p1365)) % 45.24/45.47 (step-pop @p1366 :rule scope :premises (@p1267)) % 45.24/45.47 (step @p1268 :rule process_scope :premises (@p1366) :args (@t890)) % 45.24/45.47 (step @p1270 :rule implies_elim :premises (@p1268)) % 45.24/45.47 (step @p1271 :rule eq_resolve :premises (@p1270 @p1265)) % 45.24/45.47 (step @p1272 :rule chain_m_resolution :premises (@p1271 @p1262) :args (@t890 @t646 (@list @t880))) % 45.24/45.47 (step @p1273 :rule bool-double-not-elim :args (@t887)) % 45.24/45.47 (step @p1274 :rule refl :args (@t889)) % 45.24/45.47 (step @p1275 :rule nary_cong :premises (@p1274 @p1273) :args ((or @t889 (not @t888)))) % 45.24/45.47 (step @p1276 :rule cnf_or_neg :args (@t889 0)) % 45.24/45.47 (step @p1277 :rule eq_resolve :premises (@p1276 @p1275)) % 45.24/45.47 (step @p1278 :rule reordering :premises (@p1277) :args ((or @t887 @t889))) % 45.24/45.47 (step @p1279 :rule chain_m_resolution :premises (@p1278 @p1272) :args (@t887 @t646 @t891)) % 45.24/45.47 (step @p1280 :rule bool-double-not-elim :args (@t864)) % 45.24/45.47 (step @p1281 :rule nary_cong :premises (@p1210 @p1280) :args ((or @t868 (not @t865)))) % 45.24/45.47 (step @p1282 :rule cnf_or_neg :args (@t868 1)) % 45.24/45.47 (step @p1283 :rule eq_resolve :premises (@p1282 @p1281)) % 45.24/45.47 (step @p1284 :rule reordering :premises (@p1283) :args ((or @t864 @t868))) % 45.24/45.47 (step @p1285 :rule chain_m_resolution :premises (@p1284 @p1208) :args (@t864 @t646 @t875)) % 45.24/45.47 (step @p1286 :rule eq-symm :args (@t892 @t885)) % 45.24/45.47 (step @p1287 :rule refl :args (@t888)) % 45.24/45.47 (step @p1288 :rule nary_cong :premises (@p1287 @p1286) :args (@t893)) % 45.24/45.47 (step @p1289 :rule refl :args (@t864)) % 45.24/45.47 (step @p1290 :rule cong :premises (@p1289 @p1288) :args ((=> @t864 @t893))) % 45.24/45.47 (assume-push @p1367 @t864) % 45.24/45.47 (step @p1292 :rule instantiate :premises (@p1367) :args ((@list @t883))) % 45.24/45.47 (step-pop @p1368 :rule scope :premises (@p1292)) % 45.24/45.47 (step @p1293 :rule process_scope :premises (@p1368) :args (@t893)) % 45.24/45.47 (step @p1295 :rule eq_resolve :premises (@p1293 @p1290)) % 45.24/45.47 (step @p1296 :rule implies_elim :premises (@p1295)) % 45.24/45.47 (step @p1297 :rule chain_m_resolution :premises (@p1296 @p1285) :args (@t895 @t613 (@list @t864))) % 45.24/45.47 (step @p1298 :rule cnf_or_neg :args (@t889 2)) % 45.24/45.47 (step @p1299 :rule chain_m_resolution :premises (@p1298 @p1272) :args ((not @t884) @t646 @t891)) % 45.24/45.47 (step @p1300 :rule cnf_and_pos :args (@t892 0)) % 45.24/45.47 (step @p1301 :rule reordering :premises (@p1300) :args ((or @t884 @t896))) % 45.24/45.47 (step @p1302 :rule chain_m_resolution :premises (@p1301 @p1299) :args (@t896 @t646 (@list @t884))) % 45.24/45.47 (step @p1303 :rule bool-double-not-elim :args (@t885)) % 45.24/45.47 (step @p1304 :rule nary_cong :premises (@p1274 @p1303) :args ((or @t889 (not @t886)))) % 45.24/45.47 (step @p1305 :rule cnf_or_neg :args (@t889 1)) % 45.24/45.47 (step @p1306 :rule eq_resolve :premises (@p1305 @p1304)) % 45.24/45.47 (step @p1307 :rule reordering :premises (@p1306) :args ((or @t885 @t889))) % 45.24/45.47 (step @p1308 :rule chain_m_resolution :premises (@p1307 @p1272) :args (@t885 @t646 @t891)) % 45.24/45.47 (step @p1309 :rule cnf_equiv_pos1 :args (@t894)) % 45.24/45.47 (step @p1310 :rule reordering :premises (@p1309) :args ((or @t886 @t892 @t897))) % 45.24/45.48 (step @p1311 :rule chain_m_resolution :premises (@p1310 @p1308 @p1302) :args (@t897 (@list false true) (@list @t885 @t892))) % 45.24/45.48 (step @p1312 :rule cnf_or_pos :args (@t895)) % 45.24/45.48 (step @p1313 :rule reordering :premises (@p1312) :args ((or @t888 @t894 (not @t895)))) % 45.24/45.48 (step @p1314 false :rule chain_m_resolution :premises (@p1313 @p1311 @p1297 @p1279) :args (false @t879 (@list @t894 @t895 @t887))) % 45.24/45.48 ) % 45.24/45.48 % SZS output end Proof % 45.24/45.48 % cvc5 exiting %------------------------------------------------------------------------------