%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU325+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 : n027.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 08:51:23 AM UTC 2026 % Result : Theorem 4.52s 4.74s % Output : Proof 4.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU325+2 : TPTP v9.2.1. Released v3.3.0. % 0.14/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n027.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:57:06 EDT 2026 % 0.18/0.35 % CPUTime : % 0.41/0.62 %----Proving TF0_NAR, FOF, or CNF % 4.52/4.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 4.52/4.74 % SZS status Theorem % 4.52/4.74 % SZS output start Proof % 4.52/4.74 ( % 4.52/4.74 (declare-sort $$unsorted 0) % 4.52/4.74 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.function (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.finite (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.connected (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.empty_set $$unsorted) % 4.52/4.74 (declare-const tptp.empty (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.natural (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.relation (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.transitive (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.omega $$unsorted) % 4.52/4.74 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 4.52/4.74 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 4.52/4.74 (declare-const tptp.top_str (-> $$unsorted Bool)) % 4.52/4.74 (define @t1 () (@var "A" $$unsorted)) % 4.52/4.74 (define @t2 () (@var "B" $$unsorted)) % 4.52/4.74 (define @t3 () (tptp.in @t2 @t1)) % 4.52/4.74 (define @t4 () (not @t3)) % 4.52/4.74 (define @t5 () (tptp.in @t1 @t2)) % 4.52/4.74 (define @t6 () (@list @t1 @t2)) % 4.52/4.74 (define @t7 () (tptp.proper_subset @t2 @t1)) % 4.52/4.74 (define @t8 () (tptp.proper_subset @t1 @t2)) % 4.52/4.74 (define @t9 () (tptp.v1_xcmplx_0 @t2)) % 4.52/4.74 (define @t10 () (tptp.element @t2 @t1)) % 4.52/4.74 (define @t11 () (@list @t2)) % 4.52/4.74 (define @t12 () (tptp.v1_membered @t1)) % 4.52/4.74 (define @t13 () (@list @t1)) % 4.52/4.74 (define @t14 () (tptp.v1_xreal_0 @t2)) % 4.52/4.74 (define @t15 () (tptp.v2_membered @t1)) % 4.52/4.74 (define @t16 () (tptp.v1_rat_1 @t2)) % 4.52/4.74 (define @t17 () (tptp.v3_membered @t1)) % 4.52/4.74 (define @t18 () (tptp.v1_int_1 @t2)) % 4.52/4.74 (define @t19 () (tptp.v4_membered @t1)) % 4.52/4.74 (define @t20 () (tptp.natural @t2)) % 4.52/4.74 (define @t21 () (tptp.v5_membered @t1)) % 4.52/4.74 (define @t22 () (tptp.empty @t1)) % 4.52/4.74 (define @t23 () (tptp.v1_membered @t2)) % 4.52/4.74 (define @t24 () (tptp.powerset @t1)) % 4.52/4.74 (define @t25 () (tptp.element @t2 @t24)) % 4.52/4.74 (define @t26 () (tptp.v2_membered @t2)) % 4.52/4.74 (define @t27 () (tptp.v3_membered @t2)) % 4.52/4.74 (define @t28 () (tptp.v4_membered @t2)) % 4.52/4.74 (define @t29 () (tptp.ordinal @t2)) % 4.52/4.74 (define @t30 () (tptp.epsilon_connected @t2)) % 4.52/4.74 (define @t31 () (tptp.epsilon_transitive @t2)) % 4.52/4.74 (define @t32 () (tptp.ordinal @t1)) % 4.52/4.74 (define @t33 () (tptp.finite @t1)) % 4.52/4.74 (define @t34 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 4.52/4.74 (define @t35 () (tptp.preboolean @t1)) % 4.52/4.74 (define @t36 () (tptp.function @t1)) % 4.52/4.74 (define @t37 () (tptp.epsilon_connected @t1)) % 4.52/4.74 (define @t38 () (tptp.epsilon_transitive @t1)) % 4.52/4.74 (define @t39 () (and @t38 @t37)) % 4.52/4.74 (define @t40 () (tptp.relation @t1)) % 4.52/4.74 (define @t41 () (@var "C" $$unsorted)) % 4.52/4.74 (define @t42 () (tptp.relation @t41)) % 4.52/4.74 (define @t43 () (tptp.cartesian_product2 @t1 @t2)) % 4.52/4.74 (define @t44 () (tptp.element @t41 (tptp.powerset @t43))) % 4.52/4.74 (define @t45 () (@list @t1 @t2 @t41)) % 4.52/4.74 (define @t46 () (tptp.natural @t1)) % 4.52/4.74 (define @t47 () (and @t38 @t37 @t32 @t46)) % 4.52/4.74 (define @t48 () (tptp.finite @t2)) % 4.52/4.74 (define @t49 () (tptp.one_to_one @t1)) % 4.52/4.74 (define @t50 () (and @t40 @t36 @t49)) % 4.52/4.74 (define @t51 () (and @t40 @t22 @t36)) % 4.52/4.74 (define @t52 () (and @t38 @t37 @t32)) % 4.52/4.74 (define @t53 () (tptp.unordered_pair @t1 @t2)) % 4.52/4.74 (define @t54 () (tptp.set_union2 @t2 @t1)) % 4.52/4.74 (define @t55 () (tptp.set_union2 @t1 @t2)) % 4.52/4.74 (define @t56 () (tptp.join_commut @t1 @t2 @t41)) % 4.52/4.74 (define @t57 () (tptp.the_carrier @t1)) % 4.52/4.74 (define @t58 () (tptp.element @t41 @t57)) % 4.52/4.74 (define @t59 () (tptp.element @t2 @t57)) % 4.52/4.74 (define @t60 () (tptp.join_semilatt_str @t1)) % 4.52/4.74 (define @t61 () (tptp.join_commutative @t1)) % 4.52/4.74 (define @t62 () (tptp.empty_carrier @t1)) % 4.52/4.74 (define @t63 () (not @t62)) % 4.52/4.74 (define @t64 () (and @t63 @t61 @t60 @t59 @t58)) % 4.52/4.74 (define @t65 () (tptp.set_intersection2 @t2 @t1)) % 4.52/4.74 (define @t66 () (tptp.set_intersection2 @t1 @t2)) % 4.52/4.74 (define @t67 () (tptp.meet_commut @t1 @t2 @t41)) % 4.52/4.74 (define @t68 () (tptp.meet_semilatt_str @t1)) % 4.52/4.74 (define @t69 () (tptp.meet_commutative @t1)) % 4.52/4.74 (define @t70 () (and @t63 @t69 @t68 @t59 @t58)) % 4.52/4.74 (define @t71 () (tptp.subset_intersection2 @t1 @t2 @t41)) % 4.52/4.74 (define @t72 () (tptp.element @t41 @t24)) % 4.52/4.74 (define @t73 () (and @t25 @t72)) % 4.52/4.74 (define @t74 () (tptp.ordinal_subset @t1 @t2)) % 4.52/4.74 (define @t75 () (and @t32 @t29)) % 4.52/4.74 (define @t76 () (@var "D" $$unsorted)) % 4.52/4.74 (define @t77 () (= @t41 @t76)) % 4.52/4.74 (define @t78 () (tptp.in @t41 @t1)) % 4.52/4.74 (define @t79 () (tptp.ordered_pair @t41 @t76)) % 4.52/4.74 (define @t80 () (tptp.in @t79 @t2)) % 4.52/4.74 (define @t81 () (@list @t41 @t76)) % 4.52/4.74 (define @t82 () (tptp.identity_relation @t1)) % 4.52/4.74 (define @t83 () (= @t2 @t82)) % 4.52/4.74 (define @t84 () (tptp.relation @t2)) % 4.52/4.74 (define @t85 () (tptp.subset @t2 @t1)) % 4.52/4.74 (define @t86 () (tptp.subset @t1 @t2)) % 4.52/4.74 (define @t87 () (= @t1 @t2)) % 4.52/4.74 (define @t88 () (@var "E" $$unsorted)) % 4.52/4.74 (define @t89 () (tptp.ordered_pair @t76 @t88)) % 4.52/4.74 (define @t90 () (tptp.in @t89 @t1)) % 4.52/4.74 (define @t91 () (tptp.in @t76 @t2)) % 4.52/4.74 (define @t92 () (tptp.in @t89 @t41)) % 4.52/4.74 (define @t93 () (@list @t76 @t88)) % 4.52/4.74 (define @t94 () (tptp.relation_dom_restriction @t1 @t2)) % 4.52/4.74 (define @t95 () (@list @t2 @t41)) % 4.52/4.74 (define @t96 () (tptp.in @t88 @t2)) % 4.52/4.74 (define @t97 () (tptp.relation_dom @t1)) % 4.52/4.74 (define @t98 () (@list @t88)) % 4.52/4.74 (define @t99 () (tptp.in @t76 @t41)) % 4.52/4.74 (define @t100 () (@list @t76)) % 4.52/4.74 (define @t101 () (tptp.relation_image @t1 @t2)) % 4.52/4.74 (define @t102 () (= @t41 @t101)) % 4.52/4.74 (define @t103 () (and @t40 @t36)) % 4.52/4.74 (define @t104 () (tptp.in @t88 @t1)) % 4.52/4.74 (define @t105 () (tptp.relation_rng_restriction @t1 @t2)) % 4.52/4.74 (define @t106 () (@list @t41)) % 4.52/4.74 (define @t107 () (tptp.relation_field @t1)) % 4.52/4.74 (define @t108 () (tptp.antisymmetric @t1)) % 4.52/4.74 (define @t109 () (tptp.apply @t1 @t76)) % 4.52/4.74 (define @t110 () (tptp.in @t76 @t97)) % 4.52/4.74 (define @t111 () (= @t41 (tptp.relation_inverse_image @t1 @t2))) % 4.52/4.74 (define @t112 () (tptp.powerset @t57)) % 4.52/4.74 (define @t113 () (tptp.element @t88 @t112)) % 4.52/4.74 (define @t114 () (tptp.topstr_closure @t1 @t2)) % 4.52/4.74 (define @t115 () (tptp.element @t41 @t112)) % 4.52/4.74 (define @t116 () (tptp.element @t2 @t112)) % 4.52/4.74 (define @t117 () (tptp.top_str @t1)) % 4.52/4.74 (define @t118 () (tptp.ordered_pair @t88 @t76)) % 4.52/4.74 (define @t119 () (tptp.connected @t1)) % 4.52/4.74 (define @t120 () (tptp.transitive @t1)) % 4.52/4.74 (define @t121 () (tptp.in @t88 @t76)) % 4.52/4.74 (define @t122 () (@list @t1 @t2 @t41 @t76)) % 4.52/4.74 (define @t123 () (tptp.relation_dom @t2)) % 4.52/4.74 (define @t124 () (tptp.relation_rng @t2)) % 4.52/4.74 (define @t125 () (tptp.function @t2)) % 4.52/4.74 (define @t126 () (tptp.in (tptp.ordered_pair @t2 @t76) @t1)) % 4.52/4.74 (define @t127 () (tptp.ordered_pair @t2 @t41)) % 4.52/4.74 (define @t128 () (tptp.in @t127 @t1)) % 4.52/4.74 (define @t129 () (@list @t2 @t41 @t76)) % 4.52/4.74 (define @t130 () (= @t41 tptp.empty_set)) % 4.52/4.74 (define @t131 () (tptp.quasi_total @t41 @t1 @t2)) % 4.52/4.74 (define @t132 () (= @t1 tptp.empty_set)) % 4.52/4.74 (define @t133 () (= @t2 tptp.empty_set)) % 4.52/4.74 (define @t134 () (tptp.relation_dom_as_subset @t1 @t2 @t41)) % 4.52/4.74 (define @t135 () (tptp.relation_of2_as_subset @t41 @t1 @t2)) % 4.52/4.74 (define @t136 () (tptp.the_L_join @t1)) % 4.52/4.74 (define @t137 () (tptp.join @t1 @t2 @t41)) % 4.52/4.74 (define @t138 () (and @t63 @t60)) % 4.52/4.74 (define @t139 () (= @t2 @t41)) % 4.52/4.74 (define @t140 () (= @t1 @t79)) % 4.52/4.74 (define @t141 () (exists @t95 (= @t1 @t127))) % 4.52/4.74 (define @t142 () (tptp.singleton @t1)) % 4.52/4.74 (define @t143 () (tptp.succ @t1)) % 4.52/4.74 (define @t144 () (tptp.the_topology @t1)) % 4.52/4.74 (define @t145 () (tptp.in @t2 @t144)) % 4.52/4.74 (define @t146 () (tptp.union_of_subsets @t57 @t2)) % 4.52/4.74 (define @t147 () (tptp.powerset @t112)) % 4.52/4.74 (define @t148 () (tptp.element @t2 @t147)) % 4.52/4.74 (define @t149 () (tptp.topological_space @t1)) % 4.52/4.74 (define @t150 () (tptp.in @t41 @t2)) % 4.52/4.74 (define @t151 () (tptp.is_reflexive_in @t1 @t2)) % 4.52/4.74 (define @t152 () (tptp.relation_of2 @t41 @t1 @t2)) % 4.52/4.74 (define @t153 () (= @t2 (tptp.set_meet @t1))) % 4.52/4.74 (define @t154 () (tptp.in @t41 @t76)) % 4.52/4.74 (define @t155 () (tptp.in @t76 @t1)) % 4.52/4.74 (define @t156 () (not @t132)) % 4.52/4.74 (define @t157 () (tptp.empty @t57)) % 4.52/4.74 (define @t158 () (tptp.one_sorted_str @t1)) % 4.52/4.74 (define @t159 () (tptp.subset_complement @t57 @t2)) % 4.52/4.74 (define @t160 () (tptp.interior @t1 @t2)) % 4.52/4.74 (define @t161 () (= @t76 @t2)) % 4.52/4.74 (define @t162 () (tptp.subset @t41 @t76)) % 4.52/4.74 (define @t163 () (tptp.relation_field @t2)) % 4.52/4.74 (define @t164 () (tptp.inclusion_relation @t1)) % 4.52/4.74 (define @t165 () (tptp.the_L_meet @t1)) % 4.52/4.74 (define @t166 () (tptp.meet @t1 @t2 @t41)) % 4.52/4.74 (define @t167 () (= @t2 @t76)) % 4.52/4.74 (define @t168 () (tptp.empty_carrier_subset @t1)) % 4.52/4.74 (define @t169 () (tptp.in @t79 @t1)) % 4.52/4.74 (define @t170 () (tptp.empty @t2)) % 4.52/4.74 (define @t171 () (not @t22)) % 4.52/4.74 (define @t172 () (not @t133)) % 4.52/4.74 (define @t173 () (tptp.well_founded_relation @t1)) % 4.52/4.74 (define @t174 () (@var "F" $$unsorted)) % 4.52/4.74 (define @t175 () (tptp.ordered_pair @t88 @t174)) % 4.52/4.74 (define @t176 () (tptp.in @t174 @t2)) % 4.52/4.74 (define @t177 () (@list @t88 @t174)) % 4.52/4.74 (define @t178 () (tptp.below @t1 @t2 @t41)) % 4.52/4.74 (define @t179 () (not @t150)) % 4.52/4.74 (define @t180 () (not @t139)) % 4.52/4.74 (define @t181 () (tptp.in @t2 @t41)) % 4.52/4.74 (define @t182 () (tptp.cast_as_carrier_subset @t1)) % 4.52/4.74 (define @t183 () (=> @t158 (= @t182 @t57))) % 4.52/4.74 (define @t184 () (forall @t13 @t183)) % 4.52/4.74 (define @t185 () (forall @t106 (=> @t78 @t150))) % 4.52/4.74 (define @t186 () (not @t130)) % 4.52/4.74 (define @t187 () (tptp.subset @t41 @t2)) % 4.52/4.74 (define @t188 () (tptp.is_well_founded_in @t1 @t2)) % 4.52/4.74 (define @t189 () (tptp.apply @t1 @t2)) % 4.52/4.74 (define @t190 () (= @t41 @t189)) % 4.52/4.74 (define @t191 () (tptp.in @t2 @t97)) % 4.52/4.74 (define @t192 () (tptp.in (tptp.ordered_pair @t76 @t41) @t1)) % 4.52/4.74 (define @t193 () (tptp.is_antisymmetric_in @t1 @t2)) % 4.52/4.74 (define @t194 () (tptp.cast_to_subset @t1)) % 4.52/4.74 (define @t195 () (tptp.union @t1)) % 4.52/4.74 (define @t196 () (tptp.reflexive @t1)) % 4.52/4.74 (define @t197 () (tptp.well_ordering @t1)) % 4.52/4.74 (define @t198 () (tptp.relation_rng @t41)) % 4.52/4.74 (define @t199 () (tptp.relation_dom @t41)) % 4.52/4.74 (define @t200 () (= @t199 @t1)) % 4.52/4.74 (define @t201 () (tptp.one_to_one @t41)) % 4.52/4.74 (define @t202 () (tptp.function @t41)) % 4.52/4.74 (define @t203 () (tptp.equipotent @t1 @t2)) % 4.52/4.74 (define @t204 () (tptp.set_difference @t1 @t2)) % 4.52/4.74 (define @t205 () (and @t110 (= @t41 @t109))) % 4.52/4.74 (define @t206 () (tptp.relation_rng @t1)) % 4.52/4.74 (define @t207 () (= @t2 @t206)) % 4.52/4.74 (define @t208 () (tptp.being_limit_ordinal @t1)) % 4.52/4.74 (define @t209 () (tptp.open_subset @t2 @t1)) % 4.52/4.74 (define @t210 () (tptp.subset_complement @t1 @t2)) % 4.52/4.74 (define @t211 () (tptp.ordered_pair @t1 @t2)) % 4.52/4.74 (define @t212 () (tptp.is_connected_in @t1 @t2)) % 4.52/4.74 (define @t213 () (tptp.is_transitive_in @t1 @t2)) % 4.52/4.74 (define @t214 () (tptp.subset_difference @t57 @t182 @t2)) % 4.52/4.74 (define @t215 () (tptp.closed_subset @t2 @t1)) % 4.52/4.74 (define @t216 () (tptp.cartesian_product2 @t2 @t2)) % 4.52/4.74 (define @t217 () (tptp.relation_restriction @t1 @t2)) % 4.52/4.74 (define @t218 () (tptp.relation_inverse @t1)) % 4.52/4.74 (define @t219 () (tptp.apply @t41 @t88)) % 4.52/4.74 (define @t220 () (tptp.apply @t41 @t76)) % 4.52/4.74 (define @t221 () (tptp.relation_isomorphism @t1 @t2 @t41)) % 4.52/4.74 (define @t222 () (and @t42 @t202)) % 4.52/4.74 (define @t223 () (tptp.disjoint @t1 @t2)) % 4.52/4.74 (define @t224 () (tptp.meet_absorbing @t1)) % 4.52/4.74 (define @t225 () (tptp.latt_str @t1)) % 4.52/4.74 (define @t226 () (tptp.is_a_cover_of_carrier @t1 @t2)) % 4.52/4.74 (define @t227 () (= @t226 (= @t182 @t146))) % 4.52/4.74 (define @t228 () (=> @t148 @t227)) % 4.52/4.74 (define @t229 () (forall @t11 @t228)) % 4.52/4.74 (define @t230 () (=> @t158 @t229)) % 4.52/4.74 (define @t231 () (forall @t13 @t230)) % 4.52/4.74 (define @t232 () (@list @t174)) % 4.52/4.74 (define @t233 () (tptp.relation_composition @t1 @t2)) % 4.52/4.74 (define @t234 () (@list @t41 @t76 @t88)) % 4.52/4.74 (define @t235 () (tptp.complements_of_subsets @t1 @t2)) % 4.52/4.74 (define @t236 () (tptp.powerset @t24)) % 4.52/4.74 (define @t237 () (tptp.element @t2 @t236)) % 4.52/4.74 (define @t238 () (not @t87)) % 4.52/4.74 (define @t239 () (tptp.function_inverse @t1)) % 4.52/4.74 (define @t240 () (and @t117 @t116)) % 4.52/4.74 (define @t241 () (tptp.apply_binary_as_element @t1 @t2 @t41 @t76 @t88 @t174)) % 4.52/4.74 (define @t242 () (tptp.function @t76)) % 4.52/4.74 (define @t243 () (not @t170)) % 4.52/4.74 (define @t244 () (and @t171 @t243 @t242 (tptp.quasi_total @t76 @t43 @t41) (tptp.relation_of2 @t76 @t43 @t41) (tptp.element @t88 @t1) (tptp.element @t174 @t2))) % 4.52/4.74 (define @t245 () (@list @t1 @t2 @t41 @t76 @t88 @t174)) % 4.52/4.74 (define @t246 () (tptp.relation @t218)) % 4.52/4.74 (define @t247 () (tptp.relation @t233)) % 4.52/4.74 (define @t248 () (and @t40 @t84)) % 4.52/4.74 (define @t249 () (tptp.powerset @t2)) % 4.52/4.74 (define @t250 () (tptp.relation_rng_as_subset @t1 @t2 @t41)) % 4.52/4.74 (define @t251 () (tptp.union_of_subsets @t1 @t2)) % 4.52/4.74 (define @t252 () (tptp.relation @t82)) % 4.52/4.74 (define @t253 () (tptp.meet_of_subsets @t1 @t2)) % 4.52/4.74 (define @t254 () (tptp.subset_difference @t1 @t2 @t41)) % 4.52/4.74 (define @t255 () (tptp.relation @t94)) % 4.52/4.74 (define @t256 () (tptp.relation @t105)) % 4.52/4.74 (define @t257 () (tptp.cartesian_product2 @t57 @t57)) % 4.52/4.74 (define @t258 () (tptp.finite @t66)) % 4.52/4.74 (define @t259 () (tptp.relation_composition @t2 @t1)) % 4.52/4.74 (define @t260 () (and @t22 @t84)) % 4.52/4.74 (define @t261 () (tptp.relation_empty_yielding tptp.empty_set)) % 4.52/4.74 (define @t262 () (tptp.relation tptp.empty_set)) % 4.52/4.74 (define @t263 () (tptp.empty tptp.empty_set)) % 4.52/4.74 (define @t264 () (tptp.relation_empty_yielding @t1)) % 4.52/4.74 (define @t265 () (and @t40 @t264)) % 4.52/4.74 (define @t266 () (not (tptp.empty @t142))) % 4.52/4.74 (define @t267 () (not (tptp.empty @t24))) % 4.52/4.74 (define @t268 () (not (tptp.empty @t143))) % 4.52/4.74 (define @t269 () (not @t157)) % 4.52/4.74 (define @t270 () (and @t63 @t158)) % 4.52/4.74 (define @t271 () (forall @t13 (=> @t270 @t269))) % 4.52/4.74 (define @t272 () (tptp.v1_membered @t66)) % 4.52/4.74 (define @t273 () (tptp.v1_membered @t65)) % 4.52/4.74 (define @t274 () (tptp.v2_membered @t66)) % 4.52/4.74 (define @t275 () (tptp.ordinal @t143)) % 4.52/4.74 (define @t276 () (tptp.epsilon_connected @t143)) % 4.52/4.74 (define @t277 () (tptp.epsilon_transitive @t143)) % 4.52/4.74 (define @t278 () (and @t149 @t117 @t116)) % 4.52/4.74 (define @t279 () (tptp.v2_membered @t65)) % 4.52/4.74 (define @t280 () (tptp.v3_membered @t66)) % 4.52/4.74 (define @t281 () (tptp.v3_membered @t65)) % 4.52/4.74 (define @t282 () (tptp.v4_membered @t66)) % 4.52/4.74 (define @t283 () (tptp.v4_membered @t65)) % 4.52/4.74 (define @t284 () (tptp.v1_membered @t204)) % 4.52/4.74 (define @t285 () (tptp.v2_membered @t204)) % 4.52/4.74 (define @t286 () (tptp.v3_membered @t204)) % 4.52/4.74 (define @t287 () (tptp.open_subset @t159 @t1)) % 4.52/4.74 (define @t288 () (tptp.v4_membered @t204)) % 4.52/4.74 (define @t289 () (tptp.closed_subset @t159 @t1)) % 4.52/4.74 (define @t290 () (and @t84 @t125)) % 4.52/4.74 (define @t291 () (and @t149 @t117)) % 4.52/4.74 (define @t292 () (tptp.empty @t97)) % 4.52/4.74 (define @t293 () (and @t171 @t40)) % 4.52/4.74 (define @t294 () (tptp.empty @t206)) % 4.52/4.74 (define @t295 () (tptp.open_subset @t160 @t1)) % 4.52/4.74 (define @t296 () (tptp.in @t2 @t107)) % 4.52/4.74 (define @t297 () (tptp.disjoint @t142 @t2)) % 4.52/4.74 (define @t298 () (not @t5)) % 4.52/4.74 (define @t299 () (tptp.well_ordering @t2)) % 4.52/4.74 (define @t300 () (tptp.in (tptp.ordered_pair @t41 @t2) @t1)) % 4.52/4.74 (define @t301 () (tptp.singleton @t41)) % 4.52/4.74 (define @t302 () (not @t128)) % 4.52/4.74 (define @t303 () (tptp.singleton @t2)) % 4.52/4.74 (define @t304 () (tptp.union @t2)) % 4.52/4.74 (define @t305 () (tptp.in @t1 @t41)) % 4.52/4.74 (define @t306 () (tptp.element @t1 @t249)) % 4.52/4.74 (define @t307 () (tptp.relation_dom_restriction @t41 @t1)) % 4.52/4.74 (define @t308 () (tptp.in @t2 (tptp.relation_dom @t307))) % 4.52/4.74 (define @t309 () (tptp.one_to_one @t2)) % 4.52/4.74 (define @t310 () (and @t40 @t36 @t49 @t22 @t38 @t37 @t32)) % 4.52/4.74 (define @t311 () (exists @t13 @t310)) % 4.52/4.74 (define @t312 () (= @t251 @t304)) % 4.52/4.74 (define @t313 () (forall @t6 (=> @t237 @t312))) % 4.52/4.74 (define @t314 () (tptp.set_intersection2 @t2 @t41)) % 4.52/4.74 (define @t315 () (tptp.set_difference @t2 @t41)) % 4.52/4.74 (define @t316 () (@var "K" $$unsorted)) % 4.52/4.74 (define @t317 () (@var "J" $$unsorted)) % 4.52/4.74 (define @t318 () (tptp.in @t316 @t317)) % 4.52/4.74 (define @t319 () (@list @t316)) % 4.52/4.74 (define @t320 () (@list @t317)) % 4.52/4.74 (define @t321 () (= @t76 @t88)) % 4.52/4.74 (define @t322 () (@var "I" $$unsorted)) % 4.52/4.74 (define @t323 () (@var "H" $$unsorted)) % 4.52/4.74 (define @t324 () (tptp.in @t322 @t323)) % 4.52/4.74 (define @t325 () (@list @t322)) % 4.52/4.74 (define @t326 () (@list @t323)) % 4.52/4.74 (define @t327 () (exists @t326 (and (= @t41 @t323) (tptp.in @t88 @t323) (forall @t325 (=> @t324 (tptp.in (tptp.ordered_pair @t88 @t322) @t2)))))) % 4.52/4.74 (define @t328 () (@var "G" $$unsorted)) % 4.52/4.74 (define @t329 () (tptp.in @t328 @t174)) % 4.52/4.74 (define @t330 () (@list @t328)) % 4.52/4.74 (define @t331 () (exists @t232 (and (= @t41 @t174) (tptp.in @t76 @t174) (forall @t330 (=> @t329 (tptp.in (tptp.ordered_pair @t76 @t328) @t2)))))) % 4.52/4.74 (define @t332 () (forall @t234 (=> (and @t78 @t331 @t78 @t327) @t321))) % 4.52/4.74 (define @t333 () (and @t171 @t84)) % 4.52/4.74 (define @t334 () (= @t76 @t303)) % 4.52/4.74 (define @t335 () (= @t41 @t303)) % 4.52/4.74 (define @t336 () (forall @t129 (=> (and @t3 @t335 @t3 @t334) @t77))) % 4.52/4.74 (define @t337 () (tptp.ordinal @t41)) % 4.52/4.74 (define @t338 () (@var "S" $$unsorted)) % 4.52/4.74 (define @t339 () (@var "T" $$unsorted)) % 4.52/4.74 (define @t340 () (@var "R" $$unsorted)) % 4.52/4.74 (define @t341 () (tptp.powerset (tptp.powerset @t76))) % 4.52/4.74 (define @t342 () (@list @t340)) % 4.52/4.74 (define @t343 () (tptp.in @t76 tptp.omega)) % 4.52/4.74 (define @t344 () (tptp.ordinal @t76)) % 4.52/4.74 (define @t345 () (@var "P" $$unsorted)) % 4.52/4.74 (define @t346 () (@var "Q" $$unsorted)) % 4.52/4.74 (define @t347 () (@var "O" $$unsorted)) % 4.52/4.74 (define @t348 () (@list @t346)) % 4.52/4.74 (define @t349 () (@list @t345)) % 4.52/4.74 (define @t350 () (@list @t347)) % 4.52/4.74 (define @t351 () (@var "M" $$unsorted)) % 4.52/4.74 (define @t352 () (@var "N" $$unsorted)) % 4.52/4.74 (define @t353 () (@var "L" $$unsorted)) % 4.52/4.74 (define @t354 () (@list @t352)) % 4.52/4.74 (define @t355 () (tptp.in @t351 @t353)) % 4.52/4.74 (define @t356 () (@list @t351)) % 4.52/4.74 (define @t357 () (@list @t353)) % 4.52/4.74 (define @t358 () (tptp.succ @t76)) % 4.52/4.74 (define @t359 () (=> @t343 (forall @t98 (=> (tptp.element @t88 @t341) (not (and (not (= @t88 tptp.empty_set)) (forall @t232 (not (and (tptp.in @t174 @t88) (forall @t330 (=> (and (tptp.in @t328 @t88) (tptp.subset @t174 @t328)) (= @t328 @t174)))))))))))) % 4.52/4.74 (define @t360 () (tptp.subset @t2 @t41)) % 4.52/4.74 (define @t361 () (tptp.powerset tptp.empty_set)) % 4.52/4.74 (define @t362 () (tptp.apply @t41 @t174)) % 4.52/4.74 (define @t363 () (tptp.in @t174 @t1)) % 4.52/4.74 (define @t364 () (tptp.relation @t76)) % 4.52/4.74 (define @t365 () (and @t84 @t42 @t202)) % 4.52/4.74 (define @t366 () (forall @t319 (=> @t318 (tptp.in (tptp.ordered_pair @t76 @t316) @t2)))) % 4.52/4.74 (define @t367 () (tptp.in @t76 @t317)) % 4.52/4.74 (define @t368 () (= @t174 @t88)) % 4.52/4.74 (define @t369 () (tptp.cartesian_product2 @t1 @t41)) % 4.52/4.74 (define @t370 () (= @t88 @t174)) % 4.52/4.74 (define @t371 () (tptp.ordered_pair @t316 @t353)) % 4.52/4.74 (define @t372 () (@list @t316 @t353)) % 4.52/4.74 (define @t373 () (= @t76 @t174)) % 4.52/4.74 (define @t374 () (tptp.in @t317 @t322)) % 4.52/4.74 (define @t375 () (tptp.in @t328 @t1)) % 4.52/4.74 (define @t376 () (tptp.ordered_pair @t328 @t323)) % 4.52/4.74 (define @t377 () (@list @t328 @t323)) % 4.52/4.74 (define @t378 () (@list @t76 @t88 @t174)) % 4.52/4.74 (define @t379 () (= @t88 @t76)) % 4.52/4.74 (define @t380 () (tptp.in @t323 @t1)) % 4.52/4.74 (define @t381 () (= @t41 @t88)) % 4.52/4.74 (define @t382 () (tptp.ordered_pair @t174 @t328)) % 4.52/4.74 (define @t383 () (@list @t174 @t328)) % 4.52/4.74 (define @t384 () (= @t76 @t41)) % 4.52/4.74 (define @t385 () (not (and (not (= @t174 tptp.empty_set)) (forall @t330 (not (and @t329 (forall @t326 (=> (and (tptp.in @t323 @t174) (tptp.subset @t328 @t323)) (= @t323 @t328))))))))) % 4.52/4.74 (define @t386 () (tptp.ordinal @t88)) % 4.52/4.74 (define @t387 () (tptp.subset @t2 @t76)) % 4.52/4.74 (define @t388 () (tptp.in @t88 @t112)) % 4.52/4.74 (define @t389 () (tptp.in (tptp.set_difference @t182 @t76) @t2)) % 4.52/4.74 (define @t390 () (and @t149 @t117 @t148)) % 4.52/4.74 (define @t391 () (and @t32 (tptp.element @t2 (tptp.powerset (tptp.powerset @t143))))) % 4.52/4.74 (define @t392 () (tptp.cartesian_product2 @t1 @t1)) % 4.52/4.74 (define @t393 () (tptp.apply @t41 @t328)) % 4.52/4.74 (define @t394 () (tptp.in (tptp.relation_image @t41 @t88) @t2)) % 4.52/4.74 (define @t395 () (tptp.powerset @t199)) % 4.52/4.74 (define @t396 () (and @t237 @t42 @t202)) % 4.52/4.74 (define @t397 () (tptp.succ @t2)) % 4.52/4.74 (define @t398 () (exists @t98 (and @t113 @t379 (tptp.closed_subset @t88 @t1) @t387))) % 4.52/4.74 (define @t399 () (tptp.in @t76 @t112)) % 4.52/4.74 (define @t400 () (tptp.apply @t2 @t41)) % 4.52/4.74 (define @t401 () (= @t123 @t1)) % 4.52/4.74 (define @t402 () (exists @t11 (and @t84 @t125 @t401 (forall @t106 (=> @t78 (= @t400 @t301)))))) % 4.52/4.74 (define @t403 () (tptp.in @t1 tptp.omega)) % 4.52/4.74 (define @t404 () (tptp.element @t76 @t112)) % 4.52/4.74 (define @t405 () (tptp.element @t41 @t147)) % 4.52/4.74 (define @t406 () (= @t1 @t41)) % 4.52/4.74 (define @t407 () (tptp.relation_rng @t105)) % 4.52/4.74 (define @t408 () (forall @t106 (not (and @t187 (not (tptp.are_equipotent @t41 @t2)) @t179)))) % 4.52/4.74 (define @t409 () (tptp.powerset @t41)) % 4.52/4.74 (define @t410 () (forall @t81 (=> (and @t150 (tptp.subset @t76 @t41)) @t91))) % 4.52/4.74 (define @t411 () (tptp.relation_dom_restriction @t41 @t2)) % 4.52/4.74 (define @t412 () (tptp.relation_image @t2 @t1)) % 4.52/4.74 (define @t413 () (tptp.relation_inverse_image @t2 @t1)) % 4.52/4.74 (define @t414 () (tptp.relation_image @t2 @t413)) % 4.52/4.74 (define @t415 () (tptp.set_intersection2 @t123 @t1)) % 4.52/4.74 (define @t416 () (tptp.subset @t1 @t124)) % 4.52/4.74 (define @t417 () (tptp.relation_of2_as_subset @t76 @t41 @t2)) % 4.52/4.74 (define @t418 () (tptp.relation_rng @t76)) % 4.52/4.74 (define @t419 () (tptp.relation_of2_as_subset @t76 @t41 @t1)) % 4.52/4.74 (define @t420 () (tptp.relation_rng @t233)) % 4.52/4.74 (define @t421 () (tptp.relation_inverse_image @t41 @t2)) % 4.52/4.74 (define @t422 () (tptp.relation_restriction @t41 @t2)) % 4.52/4.74 (define @t423 () (tptp.relation_restriction @t2 @t1)) % 4.52/4.74 (define @t424 () (tptp.relation_dom_restriction @t2 @t1)) % 4.52/4.74 (define @t425 () (tptp.relation_field @t41)) % 4.52/4.74 (define @t426 () (tptp.in @t1 @t425)) % 4.52/4.74 (define @t427 () (tptp.subset @t1 @t41)) % 4.52/4.74 (define @t428 () (tptp.element @t1 @t2)) % 4.52/4.74 (define @t429 () (tptp.in @t1 @t199)) % 4.52/4.74 (define @t430 () (tptp.in @t211 @t41)) % 4.52/4.74 (define @t431 () (tptp.relation_field @t423)) % 4.52/4.74 (define @t432 () (tptp.apply @t41 @t1)) % 4.52/4.74 (define @t433 () (tptp.relation_composition @t41 @t2)) % 4.52/4.74 (define @t434 () (tptp.in @t1 (tptp.relation_dom @t433))) % 4.52/4.74 (define @t435 () (tptp.apply @t76 @t41)) % 4.52/4.74 (define @t436 () (and @t242 (tptp.quasi_total @t76 @t1 @t2) (tptp.relation_of2_as_subset @t76 @t1 @t2))) % 4.52/4.74 (define @t437 () (tptp.reflexive @t2)) % 4.52/4.74 (define @t438 () (tptp.connected @t2)) % 4.52/4.74 (define @t439 () (tptp.transitive @t2)) % 4.52/4.74 (define @t440 () (tptp.antisymmetric @t2)) % 4.52/4.74 (define @t441 () (tptp.well_ordering @t423)) % 4.52/4.74 (define @t442 () (= @t431 @t1)) % 4.52/4.74 (define @t443 () (tptp.well_orders @t2 @t1)) % 4.52/4.74 (define @t444 () (tptp.well_founded_relation @t2)) % 4.52/4.74 (define @t445 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 4.52/4.74 (define @t446 () (and @t78 @t150)) % 4.52/4.74 (define @t447 () (not @t223)) % 4.52/4.74 (define @t448 () (tptp.in @t397 @t1)) % 4.52/4.74 (define @t449 () (=> @t3 @t448)) % 4.52/4.74 (define @t450 () (forall @t11 (=> @t29 @t449))) % 4.52/4.74 (define @t451 () (= @t208 @t450)) % 4.52/4.74 (define @t452 () (=> @t32 @t451)) % 4.52/4.74 (define @t453 () (forall @t13 @t452)) % 4.52/4.74 (define @t454 () (= @t1 @t397)) % 4.52/4.74 (define @t455 () (tptp.subset_complement @t1 @t41)) % 4.52/4.74 (define @t456 () (tptp.disjoint @t2 @t41)) % 4.52/4.74 (define @t457 () (tptp.relation_dom @t233)) % 4.52/4.74 (define @t458 () (and (tptp.closed_subset @t76 @t1) @t387)) % 4.52/4.74 (define @t459 () (tptp.element @t2 @t409)) % 4.52/4.74 (define @t460 () (tptp.in @t41 @t66)) % 4.52/4.74 (define @t461 () (= @t114 @t2)) % 4.52/4.74 (define @t462 () (and (tptp.in @t41 @t206) (= @t76 @t400))) % 4.52/4.74 (define @t463 () (tptp.function_inverse @t2)) % 4.52/4.74 (define @t464 () (not (and @t226 @t133))) % 4.52/4.74 (define @t465 () (forall @t11 (=> @t148 @t464))) % 4.52/4.74 (define @t466 () (=> @t270 @t465)) % 4.52/4.74 (define @t467 () (forall @t13 @t466)) % 4.52/4.74 (define @t468 () (not @t467)) % 4.52/4.74 (define @t469 () (= @t206 tptp.empty_set)) % 4.52/4.74 (define @t470 () (= @t97 tptp.empty_set)) % 4.52/4.74 (define @t471 () (forall @t13 (=> @t22 @t132))) % 4.52/4.74 (define @t472 () (= (tptp.apply @t307 @t2) (tptp.apply @t41 @t2))) % 4.52/4.74 (define @t473 () (forall @t6 (not (and @t5 @t170)))) % 4.52/4.74 (define @t474 () (= @t142 (tptp.unordered_pair @t2 @t41))) % 4.52/4.74 (define @t475 () (= @t57 @t182)) % 4.52/4.74 (define @t476 () (not (tptp.is_a_cover_of_carrier @t1 tptp.empty_set))) % 4.52/4.74 (define @t477 () (not (tptp.element tptp.empty_set @t147))) % 4.52/4.74 (define @t478 () (not @t158)) % 4.52/4.74 (define @t479 () (or @t62 @t478 @t477 @t476)) % 4.52/4.74 (define @t480 () (@quantifiers_skolemize (forall @t13 @t479) 0)) % 4.52/4.74 (define @t481 () (@list @t480)) % 4.52/4.74 (define @t482 () (or @t477 @t476)) % 4.52/4.74 (define @t483 () (or @t62 @t478)) % 4.52/4.74 (define @t484 () (not @t270)) % 4.52/4.74 (define @t485 () (not (= tptp.empty_set tptp.empty_set))) % 4.52/4.74 (define @t486 () (or @t477 @t476 @t485)) % 4.52/4.74 (define @t487 () (not @t226)) % 4.52/4.74 (define @t488 () (not @t148)) % 4.52/4.74 (define @t489 () (or @t172 @t488 @t487 @t172)) % 4.52/4.74 (define @t490 () (or @t488 @t487 @t172)) % 4.52/4.74 (define @t491 () (tptp.one_sorted_str @t480)) % 4.52/4.74 (define @t492 () (tptp.is_a_cover_of_carrier @t480 tptp.empty_set)) % 4.52/4.74 (define @t493 () (not @t492)) % 4.52/4.74 (define @t494 () (tptp.the_carrier @t480)) % 4.52/4.74 (define @t495 () (tptp.element tptp.empty_set (tptp.powerset (tptp.powerset @t494)))) % 4.52/4.74 (define @t496 () (not @t495)) % 4.52/4.74 (define @t497 () (not @t491)) % 4.52/4.74 (define @t498 () (tptp.empty_carrier @t480)) % 4.52/4.74 (define @t499 () (or @t498 @t497 @t496 @t493)) % 4.52/4.74 (define @t500 () (@list true)) % 4.52/4.74 (define @t501 () (@list @t499)) % 4.52/4.74 (define @t502 () (tptp.cast_as_carrier_subset @t480)) % 4.52/4.74 (define @t503 () (= @t494 @t502)) % 4.52/4.74 (define @t504 () (or @t497 @t503)) % 4.52/4.74 (define @t505 () (@list false false)) % 4.52/4.74 (define @t506 () (tptp.empty @t494)) % 4.52/4.74 (define @t507 () (not @t506)) % 4.52/4.74 (define @t508 () (or @t498 @t497 @t507)) % 4.52/4.74 (define @t509 () (tptp.union tptp.empty_set)) % 4.52/4.74 (define @t510 () (tptp.union_of_subsets @t494 tptp.empty_set)) % 4.52/4.74 (define @t511 () (= @t510 @t509)) % 4.52/4.74 (define @t512 () (or @t496 @t511)) % 4.52/4.74 (define @t513 () (not @t32)) % 4.52/4.74 (define @t514 () (not @t37)) % 4.52/4.74 (define @t515 () (not @t38)) % 4.52/4.74 (define @t516 () (not @t49)) % 4.52/4.74 (define @t517 () (not @t36)) % 4.52/4.74 (define @t518 () (not @t40)) % 4.52/4.74 (define @t519 () (or @t518 @t517 @t516 @t171 @t515 @t514 @t513)) % 4.52/4.74 (define @t520 () (@quantifiers_skolemize (forall @t13 @t519) 0)) % 4.52/4.74 (define @t521 () (tptp.empty @t520)) % 4.52/4.74 (define @t522 () (not @t521)) % 4.52/4.74 (define @t523 () (or @t522 (= @t520 tptp.empty_set))) % 4.52/4.74 (define @t524 () (forall @t13 (or @t171 @t132))) % 4.52/4.74 (define @t525 () (@list @t520)) % 4.52/4.74 (define @t526 () (= tptp.empty_set @t520)) % 4.52/4.74 (define @t527 () (or @t522 @t526)) % 4.52/4.74 (define @t528 () (@list false)) % 4.52/4.74 (define @t529 () (forall @t13 (not @t310))) % 4.52/4.74 (define @t530 () (not @t529)) % 4.52/4.74 (define @t531 () (tptp.ordinal @t520)) % 4.52/4.74 (define @t532 () (not @t531)) % 4.52/4.74 (define @t533 () (or (not (tptp.relation @t520)) (not (tptp.function @t520)) (not (tptp.one_to_one @t520)) @t522 (not (tptp.epsilon_transitive @t520)) (not (tptp.epsilon_connected @t520)) @t532)) % 4.52/4.74 (define @t534 () (@list @t533)) % 4.52/4.74 (define @t535 () (@var "BOUND_VARIABLE_12771" $$unsorted)) % 4.52/4.74 (define @t536 () (tptp.union_of_subsets @t57 @t535)) % 4.52/4.74 (define @t537 () (tptp.is_a_cover_of_carrier @t1 @t535)) % 4.52/4.74 (define @t538 () (= @t537 (= @t536 @t182))) % 4.52/4.74 (define @t539 () (not (tptp.element @t535 @t147))) % 4.52/4.74 (define @t540 () (or @t478 @t539 @t538)) % 4.52/4.74 (define @t541 () (or @t539 @t538)) % 4.52/4.74 (define @t542 () (or @t478 @t541)) % 4.52/4.74 (define @t543 () (forall (@list @t1 @t535) @t542)) % 4.52/4.74 (define @t544 () (@list @t535)) % 4.52/4.74 (define @t545 () (forall @t544 @t542)) % 4.52/4.74 (define @t546 () (forall @t544 @t541)) % 4.52/4.74 (define @t547 () (or @t478 @t546)) % 4.52/4.74 (define @t548 () (= @t226 (= @t146 @t182))) % 4.52/4.74 (define @t549 () (forall @t11 (or @t488 @t548))) % 4.52/4.74 (define @t550 () (= @t502 @t510)) % 4.52/4.74 (define @t551 () (= @t492 @t550)) % 4.52/4.74 (define @t552 () (or @t497 @t496 @t551)) % 4.52/4.74 (define @t553 () (not @t29)) % 4.52/4.74 (define @t554 () (or @t553 @t4 @t448)) % 4.52/4.74 (define @t555 () (= @t208 (forall @t11 @t554))) % 4.52/4.74 (define @t556 () (forall @t11 (or @t553 (not (tptp.in @t2 @t520)) (tptp.in @t397 @t520)))) % 4.52/4.74 (define @t557 () (tptp.being_limit_ordinal @t520)) % 4.52/4.74 (define @t558 () (= @t557 @t556)) % 4.52/4.74 (define @t559 () (or @t532 @t558)) % 4.52/4.74 (define @t560 () (@quantifiers_skolemize @t556 0)) % 4.52/4.74 (define @t561 () (tptp.in @t560 @t520)) % 4.52/4.74 (define @t562 () (not @t561)) % 4.52/4.74 (define @t563 () (or @t562 @t522)) % 4.52/4.74 (define @t564 () (or (not (tptp.ordinal @t560)) @t562 (tptp.in (tptp.succ @t560) @t520))) % 4.52/4.74 (define @t565 () (not @t564)) % 4.52/4.74 (define @t566 () (not @t556)) % 4.52/4.74 (define @t567 () (= @t520 (tptp.union @t520))) % 4.52/4.74 (define @t568 () (= @t557 @t567)) % 4.52/4.74 (define @t569 () (not @t567)) % 4.52/4.74 (define @t570 () (not @t526)) % 4.52/4.74 (define @t571 () (not @t511)) % 4.52/4.74 (define @t572 () (not @t550)) % 4.52/4.74 (define @t573 () (not @t503)) % 4.52/4.74 (define @t574 () (not @t263)) % 4.52/4.74 (define @t575 () (and @t263 @t526 @t567 @t511 @t550 @t503 @t507)) % 4.52/4.74 (assume @p1 (forall @t6 (=> @t5 @t4))) % 4.52/4.74 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 4.52/4.74 (assume @p3 (forall @t13 (=> @t12 (forall @t11 (=> @t10 @t9))))) % 4.52/4.74 (assume @p4 (forall @t13 (=> @t15 (forall @t11 (=> @t10 (and @t9 @t14)))))) % 4.52/4.74 (assume @p5 (forall @t13 (=> @t17 (forall @t11 (=> @t10 (and @t9 @t14 @t16)))))) % 4.52/4.74 (assume @p6 (forall @t13 (=> @t19 (forall @t11 (=> @t10 (and @t9 @t14 @t18 @t16)))))) % 4.52/4.74 (assume @p7 (forall @t13 (=> @t21 (forall @t11 (=> @t10 (and @t9 @t20 @t14 @t18 @t16)))))) % 4.52/4.74 (assume @p8 (forall @t13 (=> @t22 (and @t12 @t15 @t17 @t19 @t21)))) % 4.52/4.74 (assume @p9 (forall @t13 (=> @t12 (forall @t11 (=> @t25 @t23))))) % 4.52/4.74 (assume @p10 (forall @t13 (=> @t15 (forall @t11 (=> @t25 (and @t23 @t26)))))) % 4.52/4.74 (assume @p11 (forall @t13 (=> @t17 (forall @t11 (=> @t25 (and @t23 @t26 @t27)))))) % 4.52/4.74 (assume @p12 (forall @t13 (=> @t19 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28)))))) % 4.52/4.74 (assume @p13 (forall @t13 (=> @t32 (forall @t11 (=> @t10 (and @t31 @t30 @t29)))))) % 4.52/4.74 (assume @p14 (forall @t13 (=> @t22 @t33))) % 4.52/4.74 (assume @p15 (forall @t13 (=> @t35 @t34))) % 4.52/4.74 (assume @p16 (forall @t13 (=> @t22 @t36))) % 4.52/4.74 (assume @p17 (forall @t13 (=> @t21 @t19))) % 4.52/4.74 (assume @p18 (forall @t13 (=> @t32 @t39))) % 4.52/4.74 (assume @p19 (forall @t13 (=> @t22 @t40))) % 4.52/4.74 (assume @p20 (forall @t45 (=> @t44 @t42))) % 4.52/4.74 (assume @p21 (forall @t13 (=> @t21 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28 (tptp.v5_membered @t2))))))) % 4.52/4.74 (assume @p22 (forall @t13 (=> (and @t22 @t32) @t47))) % 4.52/4.74 (assume @p23 (forall @t13 (=> @t33 (forall @t11 (=> @t25 @t48))))) % 4.52/4.74 (assume @p24 (forall @t13 (=> @t34 @t35))) % 4.52/4.74 (assume @p25 (forall @t13 (=> @t51 @t50))) % 4.52/4.74 (assume @p26 (forall @t13 (=> @t19 @t17))) % 4.52/4.74 (assume @p27 (forall @t13 (=> @t39 @t32))) % 4.52/4.74 (assume @p28 (forall @t13 (=> (tptp.element @t1 tptp.omega) @t47))) % 4.52/4.74 (assume @p29 (forall @t13 (=> @t17 @t15))) % 4.52/4.74 (assume @p30 (forall @t13 (=> @t22 @t52))) % 4.52/4.74 (assume @p31 (forall @t13 (=> @t15 @t12))) % 4.52/4.74 (assume @p32 (forall @t6 (= @t53 (tptp.unordered_pair @t2 @t1)))) % 4.52/4.74 (assume @p33 (forall @t6 (= @t55 @t54))) % 4.52/4.74 (assume @p34 (forall @t45 (=> @t64 (= @t56 (tptp.join_commut @t1 @t41 @t2))))) % 4.52/4.74 (assume @p35 (forall @t6 (= @t66 @t65))) % 4.52/4.74 (assume @p36 (forall @t45 (=> @t70 (= @t67 (tptp.meet_commut @t1 @t41 @t2))))) % 4.52/4.74 (assume @p37 (forall @t45 (=> @t73 (= @t71 (tptp.subset_intersection2 @t1 @t41 @t2))))) % 4.52/4.74 (assume @p38 (forall @t6 (=> @t75 (or @t74 (tptp.ordinal_subset @t2 @t1))))) % 4.52/4.74 (assume @p39 (forall @t6 (=> @t84 (= @t83 (forall @t81 (= @t80 (and @t78 @t77))))))) % 4.52/4.74 (assume @p40 (forall @t6 (= @t87 (and @t86 @t85)))) % 4.52/4.74 (assume @p41 (forall @t13 (=> @t40 (forall @t95 (=> @t42 (= (= @t41 @t94) (forall @t93 (= @t92 (and @t91 @t90))))))))) % 4.52/4.74 (assume @p42 (forall @t13 (=> @t103 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t97) @t96 (= @t76 (tptp.apply @t1 @t88))))))))))) % 4.52/4.74 (assume @p43 (forall @t6 (=> @t84 (forall @t106 (=> @t42 (= (= @t41 @t105) (forall @t93 (= @t92 (and @t104 (tptp.in @t89 @t2)))))))))) % 4.52/4.74 (assume @p44 (forall @t13 (=> @t40 (= @t108 (tptp.is_antisymmetric_in @t1 @t107))))) % 4.52/4.74 (assume @p45 (forall @t13 (=> @t103 (forall @t95 (= @t111 (forall @t100 (= @t99 (and @t110 (tptp.in @t109 @t2))))))))) % 4.52/4.74 (assume @p46 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (forall @t106 (=> @t115 (= (= @t41 @t114) (forall @t100 (=> (tptp.in @t76 @t57) (= @t99 (forall @t98 (=> @t113 (not (and (tptp.open_subset @t88 @t1) (tptp.in @t76 @t88) (tptp.disjoint @t2 @t88)))))))))))))))) % 4.52/4.74 (assume @p47 (forall @t13 (=> @t40 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t118 @t1) @t96))))))))) % 4.52/4.74 (assume @p48 (forall @t13 (=> @t40 (forall @t95 (= @t111 (forall @t100 (= @t99 (exists @t98 (and @t90 @t96))))))))) % 4.52/4.74 (assume @p49 (forall @t13 (=> @t40 (= @t119 (tptp.is_connected_in @t1 @t107))))) % 4.52/4.74 (assume @p50 (forall @t13 (=> @t40 (= @t120 (tptp.is_transitive_in @t1 @t107))))) % 4.52/4.74 (assume @p51 (forall @t122 (= (= @t76 (tptp.unordered_triple @t1 @t2 @t41)) (forall @t98 (= @t121 (not (and (not (= @t88 @t1)) (not (= @t88 @t2)) (not (= @t88 @t41))))))))) % 4.52/4.74 (assume @p52 (forall @t13 (= @t33 (exists @t11 (and @t84 @t125 (= @t124 @t1) (tptp.in @t123 tptp.omega)))))) % 4.52/4.74 (assume @p53 (forall @t13 (= @t36 (forall @t129 (=> (and @t128 @t126) @t77))))) % 4.52/4.74 (assume @p54 (forall @t45 (=> @t135 (and (=> (=> @t133 @t132) (= @t131 (= @t1 @t134))) (=> @t133 (or @t132 (= @t131 @t130))))))) % 4.52/4.74 (assume @p55 (forall @t13 (=> @t138 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t137 (tptp.apply_binary_as_element @t57 @t57 @t57 @t136 @t2 @t41))))))))) % 4.52/4.74 (assume @p56 (forall @t13 (=> @t141 (forall @t11 (= (= @t2 (tptp.pair_first @t1)) (forall @t81 (=> @t140 @t139))))))) % 4.52/4.74 (assume @p57 (forall @t13 (= @t143 (tptp.set_union2 @t1 @t142)))) % 4.52/4.74 (assume @p58 (forall @t13 (=> @t117 (= @t149 (and (tptp.in @t57 @t144) (forall @t11 (=> @t148 (=> (tptp.subset @t2 @t144) (tptp.in @t146 @t144)))) (forall @t11 (=> @t116 (forall @t106 (=> @t115 (=> (and @t145 (tptp.in @t41 @t144)) (tptp.in (tptp.subset_intersection2 @t57 @t2 @t41) @t144))))))))))) % 4.52/4.74 (assume @p59 (forall @t13 (= @t40 (forall @t11 (not (and @t3 (forall @t81 (not (= @t2 @t79))))))))) % 4.52/4.74 (assume @p60 (forall @t13 (=> @t40 (forall @t11 (= @t151 (forall @t106 (=> @t150 (tptp.in (tptp.ordered_pair @t41 @t41) @t1)))))))) % 4.52/4.74 (assume @p61 (forall @t45 (= @t152 (tptp.subset @t41 @t43)))) % 4.52/4.74 (assume @p62 (forall @t6 (and (=> @t156 (= @t153 (forall @t106 (= @t150 (forall @t100 (=> @t155 @t154)))))) (=> @t132 (= @t153 @t133))))) % 4.52/4.74 (assume @p63 (forall @t13 (=> @t158 (= @t62 @t157)))) % 4.52/4.74 (assume @p64 (forall @t6 (= (= @t2 @t142) (forall @t106 (= @t150 (= @t41 @t1)))))) % 4.52/4.74 (assume @p65 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t160 (tptp.subset_complement @t57 (tptp.topstr_closure @t1 @t159)))))))) % 4.52/4.74 (assume @p66 (forall @t13 (=> @t40 (forall @t95 (= (= @t41 (tptp.fiber @t1 @t2)) (forall @t100 (= @t99 (and (not @t161) (tptp.in (tptp.ordered_pair @t76 @t2) @t1))))))))) % 4.52/4.74 (assume @p67 (forall @t6 (=> @t84 (= (= @t2 @t164) (and (= @t163 @t1) (forall @t81 (=> (and @t78 @t155) (= @t80 @t162)))))))) % 4.52/4.74 (assume @p68 (forall @t13 (= @t132 (forall @t11 @t4)))) % 4.52/4.74 (assume @p69 (forall @t6 (= (= @t2 @t24) (forall @t106 (= @t150 (tptp.subset @t41 @t1)))))) % 4.52/4.74 (assume @p70 (forall @t13 (=> (and @t63 @t68) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t166 (tptp.apply_binary_as_element @t57 @t57 @t57 @t165 @t2 @t41))))))))) % 4.52/4.74 (assume @p71 (forall @t13 (=> @t141 (forall @t11 (= (= @t2 (tptp.pair_second @t1)) (forall @t81 (=> @t140 @t167))))))) % 4.52/4.74 (assume @p72 (forall @t13 (= @t38 (forall @t11 (=> @t3 @t85))))) % 4.52/4.74 (assume @p73 (forall @t13 (=> @t158 (= @t168 tptp.empty_set)))) % 4.52/4.74 (assume @p74 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t87 (forall @t81 (= @t169 @t80)))))))) % 4.52/4.74 (assume @p75 (forall @t6 (and (=> @t171 (= @t10 @t3)) (=> @t22 (= @t10 @t170))))) % 4.52/4.74 (assume @p76 (forall @t45 (= (= @t41 @t53) (forall @t100 (= @t99 (or (= @t76 @t1) @t161)))))) % 4.52/4.74 (assume @p77 (forall @t13 (=> @t40 (= @t173 (forall @t11 (not (and (tptp.subset @t2 @t107) @t172 (forall @t106 (not (and @t150 (tptp.disjoint (tptp.fiber @t1 @t41) @t2))))))))))) % 4.52/4.74 (assume @p78 (forall @t45 (= (= @t41 @t55) (forall @t100 (= @t99 (or @t155 @t91)))))) % 4.52/4.74 (assume @p79 (forall @t45 (= (= @t41 @t43) (forall @t100 (= @t99 (exists @t177 (and @t104 @t176 (= @t76 @t175)))))))) % 4.52/4.74 (assume @p80 (forall @t13 (=> @t138 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t178 (= @t137 @t41))))))))) % 4.52/4.74 (assume @p81 (forall @t13 (= @t37 (forall @t95 (not (and @t3 @t78 (not @t181) @t180 @t179)))))) % 4.52/4.74 (assume @p82 @t184) % 4.52/4.74 (assume @p83 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t86 (forall @t81 (=> @t169 @t80)))))))) % 4.52/4.74 (assume @p84 (forall @t6 (= @t86 @t185))) % 4.52/4.74 (assume @p85 (forall @t13 (=> @t40 (forall @t11 (= @t188 (forall @t106 (not (and @t187 @t186 (forall @t100 (not (and @t99 (tptp.disjoint (tptp.fiber @t1 @t76) @t41)))))))))))) % 4.52/4.74 (assume @p86 (forall @t45 (= (= @t41 @t66) (forall @t100 (= @t99 (and @t155 @t91)))))) % 4.52/4.74 (assume @p87 (forall @t13 (=> @t103 (forall @t95 (and (=> @t191 (= @t190 @t128)) (=> (not @t191) (= @t190 @t130))))))) % 4.52/4.74 (assume @p88 (forall @t13 (= @t32 @t39))) % 4.52/4.74 (assume @p89 (forall @t13 (=> @t40 (forall @t11 (= (= @t2 @t97) (forall @t106 (= @t150 (exists @t100 @t169)))))))) % 4.52/4.74 (assume @p90 (forall @t13 (=> @t40 (forall @t11 (= @t193 (forall @t81 (=> (and @t150 @t91 @t169 @t192) @t77))))))) % 4.52/4.74 (assume @p91 (forall @t13 (= @t194 @t1))) % 4.52/4.74 (assume @p92 (forall @t6 (= (= @t2 @t195) (forall @t106 (= @t150 (exists @t100 (and @t154 @t155))))))) % 4.52/4.74 (assume @p93 (forall @t13 (=> @t40 (= @t197 (and @t196 @t120 @t108 @t119 @t173))))) % 4.52/4.74 (assume @p94 (forall @t6 (= @t203 (exists @t106 (and @t42 @t202 @t201 @t200 (= @t198 @t2)))))) % 4.52/4.74 (assume @p95 (forall @t45 (= (= @t41 @t204) (forall @t100 (= @t99 (and @t155 (not @t91))))))) % 4.52/4.74 (assume @p96 (forall @t13 (=> @t103 (forall @t11 (= @t207 (forall @t106 (= @t150 (exists @t100 @t205)))))))) % 4.52/4.74 (assume @p97 (forall @t13 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t208 @t32 (forall @t11 (=> @t29 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t86))))))) % 4.52/4.74 (assume @p98 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t209 @t145)))))) % 4.52/4.74 (assume @p99 (forall @t13 (=> @t40 (forall @t11 (= @t207 (forall @t106 (= @t150 (exists @t100 @t192)))))))) % 4.52/4.74 (assume @p100 (forall @t6 (=> @t25 (= @t210 @t204)))) % 4.52/4.74 (assume @p101 (forall @t6 (= @t211 (tptp.unordered_pair @t53 @t142)))) % 4.52/4.74 (assume @p102 (forall @t13 (=> @t40 (forall @t11 (= (tptp.well_orders @t1 @t2) (and @t151 @t213 @t193 @t212 @t188)))))) % 4.52/4.74 (assume @p103 (forall @t13 (= @t208 (= @t1 @t195)))) % 4.52/4.74 (assume @p104 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t215 (tptp.open_subset @t214 @t1))))))) % 4.52/4.74 (assume @p105 (forall @t13 (=> @t40 (= @t107 (tptp.set_union2 @t97 @t206))))) % 4.52/4.74 (assume @p106 (forall @t13 (=> @t40 (forall @t11 (= @t212 (forall @t81 (not (and @t150 @t91 (not @t77) (not @t169) (not @t192))))))))) % 4.52/4.74 (assume @p107 (forall @t13 (=> @t40 (forall @t11 (= @t217 (tptp.set_intersection2 @t1 @t216)))))) % 4.52/4.74 (assume @p108 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= (= @t2 @t218) (forall @t81 (= @t80 @t192)))))))) % 4.52/4.74 (assume @p109 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t222 (= @t221 (and (= @t199 @t107) (= @t198 @t163) @t201 (forall @t93 (= @t90 (and (tptp.in @t76 @t107) (tptp.in @t88 @t107) (tptp.in (tptp.ordered_pair @t220 @t219) @t2))))))))))))) % 4.52/4.74 (assume @p110 (forall @t6 (= @t223 (= @t66 tptp.empty_set)))) % 4.52/4.74 (assume @p111 (forall @t13 (=> @t103 (= @t49 (forall @t95 (=> (and @t191 (tptp.in @t41 @t97) (= @t189 (tptp.apply @t1 @t41))) @t139)))))) % 4.52/4.74 (assume @p112 (forall @t13 (=> (and @t63 @t225) (= @t224 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= (tptp.join @t1 @t166 @t41) @t41))))))))) % 4.52/4.74 (assume @p113 @t231) % 4.52/4.74 (assume @p114 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t42 (= (= @t41 @t233) (forall @t93 (= @t92 (exists @t232 (and (tptp.in (tptp.ordered_pair @t76 @t174) @t1) (tptp.in (tptp.ordered_pair @t174 @t88) @t2))))))))))))) % 4.52/4.74 (assume @p115 (forall @t13 (=> @t40 (forall @t11 (= @t213 (forall @t234 (=> (and @t150 @t91 @t96 @t169 @t90) (tptp.in (tptp.ordered_pair @t41 @t88) @t1)))))))) % 4.52/4.74 (assume @p116 (forall @t6 (=> @t237 (forall @t106 (=> (tptp.element @t41 @t236) (= (= @t41 @t235) (forall @t100 (=> (tptp.element @t76 @t24) (= @t99 (tptp.in (tptp.subset_complement @t1 @t76) @t2)))))))))) % 4.52/4.74 (assume @p117 (forall @t6 (= @t8 (and @t86 @t238)))) % 4.52/4.74 (assume @p118 (forall @t13 (=> @t103 (=> @t49 (= @t239 @t218))))) % 4.52/4.74 (assume @p119 (forall @t13 (=> @t40 (= @t196 (tptp.is_reflexive_in @t1 @t107))))) % 4.52/4.74 (assume @p120 true) % 4.52/4.74 (assume @p121 (forall @t45 (=> (and @t63 @t60 @t59 @t58) (tptp.element @t137 @t57)))) % 4.52/4.74 (assume @p122 (forall @t13 (=> @t158 (tptp.element @t168 @t112)))) % 4.52/4.74 (assume @p123 (forall @t6 (=> @t240 (tptp.element @t160 @t112)))) % 4.52/4.74 (assume @p124 (forall @t13 (tptp.relation @t164))) % 4.52/4.74 (assume @p125 (forall @t245 (=> @t244 (tptp.element @t241 @t41)))) % 4.52/4.74 (assume @p126 (forall @t13 (=> @t103 (and (tptp.relation @t239) (tptp.function @t239))))) % 4.52/4.74 (assume @p127 (forall @t45 (=> (and @t63 @t68 @t59 @t58) (tptp.element @t166 @t57)))) % 4.52/4.74 (assume @p128 (forall @t13 (=> @t158 (tptp.element @t182 @t112)))) % 4.52/4.74 (assume @p129 (forall @t13 (tptp.element @t194 @t24))) % 4.52/4.74 (assume @p130 (forall @t6 (=> @t40 (tptp.relation @t217)))) % 4.52/4.74 (assume @p131 (forall @t45 (=> @t64 (tptp.element @t56 @t57)))) % 4.52/4.74 (assume @p132 (forall @t6 (=> @t25 (tptp.element @t210 @t24)))) % 4.52/4.74 (assume @p133 (forall @t45 (=> @t70 (tptp.element @t67 @t57)))) % 4.52/4.74 (assume @p134 (forall @t13 (=> @t40 @t246))) % 4.52/4.74 (assume @p135 (forall @t45 (=> @t152 (tptp.element @t134 @t24)))) % 4.52/4.74 (assume @p136 (forall @t6 (=> @t248 @t247))) % 4.52/4.74 (assume @p137 (forall @t45 (=> @t152 (tptp.element @t250 @t249)))) % 4.52/4.74 (assume @p138 (forall @t6 (=> @t237 (tptp.element @t251 @t24)))) % 4.52/4.74 (assume @p139 (forall @t45 (=> @t73 (tptp.element @t71 @t24)))) % 4.52/4.74 (assume @p140 (forall @t6 (=> @t240 (tptp.element @t114 @t112)))) % 4.52/4.74 (assume @p141 (forall @t13 @t252)) % 4.52/4.74 (assume @p142 (forall @t6 (=> @t237 (tptp.element @t253 @t24)))) % 4.52/4.74 (assume @p143 (forall @t45 (=> @t73 (tptp.element @t254 @t24)))) % 4.52/4.74 (assume @p144 (forall @t6 (=> @t40 @t255))) % 4.52/4.74 (assume @p145 (forall @t6 (=> @t237 (tptp.element @t235 @t236)))) % 4.52/4.74 (assume @p146 (forall @t6 (=> @t84 @t256))) % 4.52/4.74 (assume @p147 (forall @t13 (=> @t68 @t158))) % 4.52/4.74 (assume @p148 (forall @t13 (=> @t117 @t158))) % 4.52/4.74 (assume @p149 (forall @t13 (=> @t60 @t158))) % 4.52/4.74 (assume @p150 (forall @t13 (=> @t225 (and @t68 @t60)))) % 4.52/4.74 (assume @p151 (forall @t45 (=> @t135 @t44))) % 4.52/4.74 (assume @p152 (forall @t13 (=> @t68 (and (tptp.function @t165) (tptp.quasi_total @t165 @t257 @t57) (tptp.relation_of2_as_subset @t165 @t257 @t57))))) % 4.52/4.74 (assume @p153 (forall @t13 (=> @t117 (tptp.element @t144 @t147)))) % 4.52/4.74 (assume @p154 (forall @t13 (=> @t60 (and (tptp.function @t136) (tptp.quasi_total @t136 @t257 @t57) (tptp.relation_of2_as_subset @t136 @t257 @t57))))) % 4.52/4.74 (assume @p155 (exists @t13 @t68)) % 4.52/4.74 (assume @p156 (exists @t13 @t117)) % 4.52/4.74 (assume @p157 (exists @t13 @t158)) % 4.52/4.74 (assume @p158 (exists @t13 @t60)) % 4.52/4.74 (assume @p159 (exists @t13 @t225)) % 4.52/4.74 (assume @p160 (forall @t6 (exists @t106 @t152))) % 4.52/4.74 (assume @p161 (forall @t13 (exists @t11 @t10))) % 4.52/4.74 (assume @p162 (forall @t6 (exists @t106 @t135))) % 4.52/4.74 (assume @p163 (forall @t6 (=> @t48 @t258))) % 4.52/4.74 (assume @p164 (forall @t6 (=> @t260 (and (tptp.empty @t259) (tptp.relation @t259))))) % 4.52/4.74 (assume @p165 (forall @t6 (=> @t33 @t258))) % 4.52/4.74 (assume @p166 (forall @t13 (=> @t22 (and (tptp.empty @t218) @t246)))) % 4.52/4.74 (assume @p167 (forall @t6 (=> @t33 (tptp.finite @t204)))) % 4.52/4.74 (assume @p168 (and @t263 @t262 @t261)) % 4.52/4.74 (assume @p169 (forall @t6 (=> (and @t40 @t36 @t48) (tptp.finite @t101)))) % 4.52/4.74 (assume @p170 (forall @t6 (=> @t265 (and @t255 (tptp.relation_empty_yielding @t94))))) % 4.52/4.74 (assume @p171 (forall @t13 (and @t266 (tptp.finite @t142)))) % 4.52/4.74 (assume @p172 (forall @t13 (and @t267 (tptp.cup_closed @t24) (tptp.diff_closed @t24) (tptp.preboolean @t24)))) % 4.52/4.74 (assume @p173 (forall @t6 (=> (and @t40 @t36 @t84 @t125) (and @t247 (tptp.function @t233))))) % 4.52/4.74 (assume @p174 (forall @t13 @t268)) % 4.52/4.74 (assume @p175 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 4.52/4.74 (assume @p176 (forall @t13 (=> @t158 (and (tptp.empty @t168) (tptp.v1_membered @t168) (tptp.v2_membered @t168) (tptp.v3_membered @t168) (tptp.v4_membered @t168) (tptp.v5_membered @t168))))) % 4.52/4.74 (assume @p177 (forall @t6 (=> @t248 (tptp.relation @t66)))) % 4.52/4.74 (assume @p178 @t271) % 4.52/4.74 (assume @p179 (forall @t13 @t267)) % 4.52/4.74 (assume @p180 @t263) % 4.52/4.74 (assume @p181 (forall @t6 (not (tptp.empty @t211)))) % 4.52/4.74 (assume @p182 (forall @t6 (=> @t12 @t272))) % 4.52/4.74 (assume @p183 (forall @t6 (=> @t12 @t273))) % 4.52/4.74 (assume @p184 (forall @t6 (=> @t15 (and @t272 @t274)))) % 4.52/4.74 (assume @p185 (forall @t13 (=> (and @t32 @t46) (and @t268 @t277 @t276 @t275 (tptp.natural @t143))))) % 4.52/4.74 (assume @p186 (forall @t13 (and @t252 (tptp.function @t82)))) % 4.52/4.74 (assume @p187 (and @t262 @t261 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t263 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 4.52/4.74 (assume @p188 (forall @t13 (=> @t270 (not (tptp.empty @t182))))) % 4.52/4.74 (assume @p189 (forall @t6 (=> @t248 (tptp.relation @t55)))) % 4.52/4.74 (assume @p190 (forall @t13 @t266)) % 4.52/4.74 (assume @p191 (forall @t6 (=> @t278 (tptp.closed_subset @t114 @t1)))) % 4.52/4.74 (assume @p192 (forall @t6 (=> @t171 (not (tptp.empty @t55))))) % 4.52/4.74 (assume @p193 (forall @t6 (=> @t15 (and @t273 @t279)))) % 4.52/4.74 (assume @p194 (forall @t6 (=> @t17 (and @t272 @t274 @t280)))) % 4.52/4.74 (assume @p195 (forall @t6 (=> @t17 (and @t273 @t279 @t281)))) % 4.52/4.74 (assume @p196 (forall @t6 (=> @t19 (and @t272 @t274 @t280 @t282)))) % 4.52/4.74 (assume @p197 (forall @t6 (=> @t19 (and @t273 @t279 @t281 @t283)))) % 4.52/4.74 (assume @p198 (forall @t6 (=> @t21 (and @t272 @t274 @t280 @t282 (tptp.v5_membered @t66))))) % 4.52/4.74 (assume @p199 (forall @t6 (=> @t21 (and @t273 @t279 @t281 @t283 (tptp.v5_membered @t65))))) % 4.52/4.74 (assume @p200 (forall @t6 (=> @t12 @t284))) % 4.52/4.74 (assume @p201 (forall @t6 (=> @t15 (and @t284 @t285)))) % 4.52/4.74 (assume @p202 (forall @t6 (=> @t17 (and @t284 @t285 @t286)))) % 4.52/4.74 (assume @p203 (forall @t13 (=> @t50 (and @t246 (tptp.function @t218))))) % 4.52/4.74 (assume @p204 (forall @t13 (=> @t32 (and @t268 @t277 @t276 @t275)))) % 4.52/4.74 (assume @p205 (forall @t6 (=> @t248 (tptp.relation @t204)))) % 4.52/4.74 (assume @p206 (forall @t6 (not (tptp.empty @t53)))) % 4.52/4.74 (assume @p207 (forall @t6 (=> (and @t149 @t117 @t215 @t116) @t287))) % 4.52/4.74 (assume @p208 (forall @t6 (=> @t171 (not (tptp.empty @t54))))) % 4.52/4.74 (assume @p209 (forall @t6 (=> @t19 (and @t284 @t285 @t286 @t288)))) % 4.52/4.74 (assume @p210 (forall @t6 (=> @t21 (and @t284 @t285 @t286 @t288 (tptp.v5_membered @t204))))) % 4.52/4.74 (assume @p211 (forall @t6 (=> @t103 (and @t255 (tptp.function @t94))))) % 4.52/4.74 (assume @p212 (forall @t13 (=> @t32 (and (tptp.epsilon_transitive @t195) (tptp.epsilon_connected @t195) (tptp.ordinal @t195))))) % 4.52/4.74 (assume @p213 (and @t263 @t262)) % 4.52/4.74 (assume @p214 (forall @t6 (=> (and @t171 @t243) (not (tptp.empty @t43))))) % 4.52/4.74 (assume @p215 (forall @t6 (=> (and @t149 @t117 @t209 @t116) @t289))) % 4.52/4.74 (assume @p216 (forall @t6 (=> @t290 (and @t256 (tptp.function @t105))))) % 4.52/4.74 (assume @p217 (forall @t13 (=> @t291 (tptp.closed_subset @t182 @t1)))) % 4.52/4.74 (assume @p218 (forall @t13 (=> @t293 (not @t292)))) % 4.52/4.74 (assume @p219 (and @t263 (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))) % 4.52/4.74 (assume @p220 (forall @t13 (=> @t293 (not @t294)))) % 4.52/4.74 (assume @p221 (forall @t6 (=> @t278 @t295))) % 4.52/4.74 (assume @p222 (forall @t13 (=> @t22 (and @t292 (tptp.relation @t97))))) % 4.52/4.74 (assume @p223 (forall @t13 (=> @t22 (and @t294 (tptp.relation @t206))))) % 4.52/4.74 (assume @p224 (forall @t6 (=> (and @t33 @t48) (tptp.finite @t55)))) % 4.52/4.74 (assume @p225 (forall @t6 (=> @t260 (and (tptp.empty @t233) @t247)))) % 4.52/4.74 (assume @p226 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 4.52/4.74 (assume @p227 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 4.52/4.74 (assume @p228 (forall @t45 (=> @t73 (= (tptp.subset_intersection2 @t1 @t2 @t2) @t2)))) % 4.52/4.74 (assume @p229 (forall @t6 (=> @t25 (= (tptp.subset_complement @t1 @t210) @t2)))) % 4.52/4.74 (assume @p230 (forall @t13 (=> @t40 (= (tptp.relation_inverse @t218) @t1)))) % 4.52/4.74 (assume @p231 (forall @t6 (=> @t237 (= (tptp.complements_of_subsets @t1 @t235) @t2)))) % 4.52/4.74 (assume @p232 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 4.52/4.74 (assume @p233 (forall @t13 (=> @t40 (= @t196 (forall @t11 (=> @t296 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 4.52/4.74 (assume @p234 (forall @t13 (not (= @t142 tptp.empty_set)))) % 4.52/4.74 (assume @p235 (forall @t6 (=> @t5 (= (tptp.set_union2 @t142 @t2) @t2)))) % 4.52/4.74 (assume @p236 (forall @t6 (not (and @t297 @t5)))) % 4.52/4.74 (assume @p237 (forall @t6 (=> @t298 @t297))) % 4.52/4.74 (assume @p238 (forall @t6 (=> @t84 (tptp.subset (tptp.relation_dom @t105) @t123)))) % 4.52/4.74 (assume @p239 (forall @t13 (=> @t40 (= @t120 (forall @t129 (=> (and @t128 @t169) @t126)))))) % 4.52/4.74 (assume @p240 (forall @t6 (= (tptp.subset @t142 @t2) @t5))) % 4.52/4.74 (assume @p241 (forall @t6 (=> @t84 (not (and @t299 (tptp.equipotent @t1 @t163) (forall @t106 (=> @t42 (not (tptp.well_orders @t41 @t1))))))))) % 4.52/4.74 (assume @p242 (forall @t6 (= (= @t204 tptp.empty_set) @t86))) % 4.52/4.74 (assume @p243 (forall @t6 (=> @t25 (forall @t106 (=> @t150 @t78))))) % 4.52/4.74 (assume @p244 (forall @t13 (=> @t40 (= @t108 (forall @t95 (=> (and @t128 @t300) @t139)))))) % 4.52/4.74 (assume @p245 (forall @t45 (=> @t86 (or @t78 (tptp.subset @t1 (tptp.set_difference @t2 @t301)))))) % 4.52/4.74 (assume @p246 (forall @t13 (=> @t270 (forall @t11 (=> @t116 (forall @t106 (=> @t58 (= (tptp.in @t41 @t159) @t179)))))))) % 4.52/4.74 (assume @p247 (forall @t13 (=> @t40 (= @t119 (forall @t95 (not (and @t296 (tptp.in @t41 @t107) @t180 @t302 (not @t300)))))))) % 4.52/4.74 (assume @p248 (forall @t6 (= (tptp.subset @t1 @t303) (or @t132 (= @t1 @t303))))) % 4.52/4.74 (assume @p249 (forall @t6 (=> @t5 (tptp.subset @t1 @t304)))) % 4.52/4.74 (assume @p250 (forall @t122 (= (tptp.in @t211 (tptp.cartesian_product2 @t41 @t76)) (and @t305 (tptp.in @t2 @t76))))) % 4.52/4.74 (assume @p251 (forall @t6 (=> @t185 @t306))) % 4.52/4.74 (assume @p252 (forall @t45 (=> @t222 (= @t308 (and (tptp.in @t2 @t199) @t3))))) % 4.52/4.74 (assume @p253 (exists @t13 (and @t171 @t38 @t37 @t32 @t46))) % 4.52/4.74 (assume @p254 (exists @t13 (and @t171 @t33))) % 4.52/4.74 (assume @p255 (exists @t13 @t103)) % 4.52/4.74 (assume @p256 (forall @t6 (exists @t106 (and @t152 @t42 @t202 @t131)))) % 4.52/4.74 (assume @p257 (exists @t13 (and @t171 @t12 @t15 @t17 @t19 @t21))) % 4.52/4.74 (assume @p258 (exists @t13 @t52)) % 4.52/4.74 (assume @p259 (exists @t13 (and @t38 @t37 @t32 @t208))) % 4.52/4.74 (assume @p260 (exists @t13 (and @t40 @t36 @t49 @t22))) % 4.52/4.74 (assume @p261 (exists @t13 (and @t22 @t40))) % 4.52/4.74 (assume @p262 (forall @t13 (=> @t171 (exists @t11 (and @t25 @t243))))) % 4.52/4.74 (assume @p263 (forall @t13 (=> @t291 (exists @t11 (and @t116 @t209))))) % 4.52/4.74 (assume @p264 (exists @t13 @t22)) % 4.52/4.74 (assume @p265 (forall @t13 (exists @t11 (and @t25 @t170 @t84 @t125 @t309 @t31 @t30 @t29 @t20 @t48)))) % 4.52/4.74 (assume @p266 (exists @t13 @t51)) % 4.52/4.74 (assume @p267 @t311) % 4.52/4.74 (assume @p268 (forall @t6 (exists @t106 (and @t152 @t42 @t202)))) % 4.52/4.74 (assume @p269 (exists @t13 @t293)) % 4.52/4.74 (assume @p270 (forall @t13 (exists @t11 (and @t25 @t170)))) % 4.52/4.74 (assume @p271 (forall @t13 (=> @t291 (exists @t11 (and @t116 @t209 @t215))))) % 4.52/4.74 (assume @p272 (exists @t13 @t171)) % 4.52/4.74 (assume @p273 (forall @t13 (=> @t171 (exists @t11 (and @t25 @t243 @t48))))) % 4.52/4.74 (assume @p274 (exists @t13 @t50)) % 4.52/4.74 (assume @p275 (exists @t13 (and @t171 @t38 @t37 @t32))) % 4.52/4.74 (assume @p276 (exists @t13 @t265)) % 4.52/4.74 (assume @p277 (exists @t13 (and @t158 @t63))) % 4.52/4.74 (assume @p278 (exists @t13 (and @t40 @t264 @t36))) % 4.52/4.74 (assume @p279 (forall @t13 (=> @t270 (exists @t11 (and @t116 @t243))))) % 4.52/4.74 (assume @p280 (forall @t13 (=> @t291 (exists @t11 (and @t116 @t215))))) % 4.52/4.74 (assume @p281 (forall @t245 (=> @t244 (= @t241 (tptp.apply_binary @t76 @t88 @t174))))) % 4.52/4.74 (assume @p282 (forall @t45 (=> @t64 (= @t56 @t137)))) % 4.52/4.74 (assume @p283 (forall @t45 (=> @t70 (= @t67 @t166)))) % 4.52/4.74 (assume @p284 (forall @t45 (=> @t152 (= @t134 @t199)))) % 4.52/4.74 (assume @p285 (forall @t45 (=> @t152 (= @t250 @t198)))) % 4.52/4.74 (assume @p286 @t313) % 4.52/4.74 (assume @p287 (forall @t45 (=> @t73 (= @t71 @t314)))) % 4.52/4.74 (assume @p288 (forall @t6 (=> @t237 (= @t253 (tptp.set_meet @t2))))) % 4.52/4.74 (assume @p289 (forall @t45 (=> @t73 (= @t254 @t315)))) % 4.52/4.74 (assume @p290 (forall @t45 (= @t135 @t152))) % 4.52/4.74 (assume @p291 (forall @t6 (=> @t75 (= @t74 @t86)))) % 4.52/4.74 (assume @p292 (forall @t6 (= @t203 (tptp.are_equipotent @t1 @t2)))) % 4.52/4.74 (assume @p293 (forall @t6 (=> @t75 (tptp.ordinal_subset @t1 @t1)))) % 4.52/4.74 (assume @p294 (forall @t6 (tptp.subset @t1 @t1))) % 4.52/4.74 (assume @p295 (forall @t6 (tptp.equipotent @t1 @t1))) % 4.52/4.74 (assume @p296 (forall @t6 (=> @t333 (=> @t332 (exists @t106 (and @t42 @t202 (forall @t93 (= @t92 (and @t155 @t155 (exists @t320 (and (= @t76 @t317) (tptp.in @t88 @t317) (forall @t319 (=> @t318 (tptp.in (tptp.ordered_pair @t88 @t316) @t2)))))))))))))) % 4.52/4.74 (assume @p297 (forall @t13 (=> @t336 (exists @t11 (and @t84 @t125 (forall @t81 (= @t80 (and @t78 @t78 (= @t76 @t301))))))))) % 4.52/4.74 (assume @p298 (forall @t13 (=> (exists @t11 (and @t29 @t3)) (exists @t11 (and @t29 @t3 (forall @t106 (=> @t337 (=> @t78 (tptp.ordinal_subset @t2 @t41))))))))) % 4.52/4.74 (assume @p299 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t13 (=> (tptp.element @t1 (tptp.powerset @t361)) (not (and @t156 (forall @t11 (not (and @t3 (forall @t106 (=> (and @t78 @t360) (= @t41 @t2))))))))))) (forall @t100 (=> @t344 (=> @t359 (=> (tptp.in @t358 tptp.omega) (forall @t326 (=> (tptp.element @t323 (tptp.powerset (tptp.powerset @t358))) (not (and (not (= @t323 tptp.empty_set)) (forall @t325 (not (and @t324 (forall @t320 (=> (and (tptp.in @t317 @t323) (tptp.subset @t322 @t317)) (= @t317 @t322)))))))))))))) (forall @t100 (=> @t344 (=> (and (tptp.being_limit_ordinal @t76) (forall @t319 (=> (tptp.ordinal @t316) (=> (tptp.in @t316 @t76) (=> (tptp.in @t316 tptp.omega) (forall @t357 (=> (tptp.element @t353 (tptp.powerset (tptp.powerset @t316))) (not (and (not (= @t353 tptp.empty_set)) (forall @t356 (not (and @t355 (forall @t354 (=> (and (tptp.in @t352 @t353) (tptp.subset @t351 @t352)) (= @t352 @t351))))))))))))))) (or (= @t76 tptp.empty_set) (=> @t343 (forall @t350 (=> (tptp.element @t347 @t341) (not (and (not (= @t347 tptp.empty_set)) (forall @t349 (not (and (tptp.in @t345 @t347) (forall @t348 (=> (and (tptp.in @t346 @t347) (tptp.subset @t345 @t346)) (= @t346 @t345)))))))))))))))) (forall @t100 (=> @t344 (=> @t343 (forall @t342 (=> (tptp.element @t340 @t341) (not (and (not (= @t340 tptp.empty_set)) (forall (@list @t338) (not (and (tptp.in @t338 @t340) (forall (@list @t339) (=> (and (tptp.in @t339 @t340) (tptp.subset @t338 @t339)) (= @t339 @t338))))))))))))))) % 4.52/4.74 (assume @p300 (forall @t45 (=> @t365 (exists @t100 (and @t364 (forall @t177 (= (tptp.in @t175 @t76) (and @t104 @t363 (tptp.in (tptp.ordered_pair @t219 @t362) @t2))))))))) % 4.52/4.74 (assume @p301 (forall @t6 (=> @t333 (=> @t332 (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t104 @t104 (exists @t320 (and (= @t88 @t317) @t367 @t366))))))))))) % 4.52/4.74 (assume @p302 (forall @t6 (=> @t333 (forall @t106 (=> (forall @t378 (=> (and @t321 (exists @t377 (and (= @t376 @t88) @t375 (exists @t325 (and (= @t328 @t322) (tptp.in @t323 @t322) (forall @t320 (=> @t374 (tptp.in (tptp.ordered_pair @t323 @t317) @t2))))))) @t373 (exists @t372 (and (= @t371 @t174) (tptp.in @t316 @t1) (exists @t356 (and (= @t316 @t351) (tptp.in @t353 @t351) (forall @t354 (=> (tptp.in @t352 @t351) (tptp.in (tptp.ordered_pair @t353 @t352) @t2)))))))) @t370)) (exists @t100 (forall @t98 (= @t121 (exists @t232 (and (tptp.in @t174 @t369) @t368 (exists (@list @t347 @t345) (and (= (tptp.ordered_pair @t347 @t345) @t88) (tptp.in @t347 @t1) (exists @t348 (and (= @t347 @t346) (tptp.in @t345 @t346) (forall @t342 (=> (tptp.in @t340 @t346) (tptp.in (tptp.ordered_pair @t345 @t340) @t2))))))))))))))))) % 4.52/4.74 (assume @p303 (forall @t13 (=> @t336 (exists @t11 (forall @t106 (= @t150 (exists @t100 (and @t155 @t155 (= @t41 (tptp.singleton @t76)))))))))) % 4.52/4.74 (assume @p304 (forall @t6 (=> (forall @t234 (=> (and @t77 (exists @t383 (and (= @t382 @t76) @t363 (= @t328 (tptp.singleton @t174)))) @t381 (exists (@list @t323 @t322) (and (= (tptp.ordered_pair @t323 @t322) @t88) @t380 (= @t322 (tptp.singleton @t323))))) @t321)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t43) @t379 (exists (@list @t317 @t316) (and (= (tptp.ordered_pair @t317 @t316) @t76) (tptp.in @t317 @t1) (= @t316 (tptp.singleton @t317)))))))))))) % 4.52/4.74 (assume @p305 (forall @t13 (=> @t32 (=> (forall @t129 (=> (and @t139 (exists @t98 (and @t386 @t381 (=> (tptp.in @t88 tptp.omega) (forall @t232 (=> (tptp.element @t174 (tptp.powerset (tptp.powerset @t88))) @t385))))) @t167 (exists @t325 (and (tptp.ordinal @t322) (= @t76 @t322) (=> (tptp.in @t322 tptp.omega) (forall @t320 (=> (tptp.element @t317 (tptp.powerset (tptp.powerset @t322))) (not (and (not (= @t317 tptp.empty_set)) (forall @t319 (not (and @t318 (forall @t357 (=> (and (tptp.in @t353 @t317) (tptp.subset @t316 @t353)) (= @t353 @t316)))))))))))))) @t77)) (exists @t11 (forall @t106 (= @t150 (exists @t100 (and (tptp.in @t76 @t143) @t384 (exists @t356 (and (tptp.ordinal @t351) (= @t41 @t351) (=> (tptp.in @t351 tptp.omega) (forall @t354 (=> (tptp.element @t352 (tptp.powerset (tptp.powerset @t351))) (not (and (not (= @t352 tptp.empty_set)) (forall @t350 (not (and (tptp.in @t347 @t352) (forall @t349 (=> (and (tptp.in @t345 @t352) (tptp.subset @t347 @t345)) (= @t345 @t347)))))))))))))))))))))) % 4.52/4.74 (assume @p306 (forall @t6 (=> @t278 (=> (forall @t234 (=> (and @t77 (exists @t232 (and (tptp.element @t174 @t112) (= @t174 @t76) (tptp.closed_subset @t174 @t1) @t387)) @t381 (exists @t330 (and (tptp.element @t328 @t112) (= @t328 @t88) (tptp.closed_subset @t328 @t1) (tptp.subset @t2 @t88)))) @t321)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t388 @t379 (exists @t326 (and (tptp.element @t323 @t112) (= @t323 @t76) (tptp.closed_subset @t323 @t1) @t387))))))))))) % 4.52/4.74 (assume @p307 (forall @t6 (=> @t390 (=> (forall @t234 (=> (and @t77 @t389 @t381 (tptp.in (tptp.set_difference @t182 @t88) @t2)) @t321)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t388 @t379 @t389))))))))) % 4.52/4.74 (assume @p308 (forall @t6 (=> @t391 (=> (forall @t234 (=> (and @t77 (exists @t232 (and @t176 (= @t76 (tptp.set_difference @t174 @t142)))) @t381 (exists @t330 (and (tptp.in @t328 @t2) (= @t88 (tptp.set_difference @t328 @t142))))) @t321)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t24) @t379 (exists @t326 (and (tptp.in @t323 @t2) (= @t76 (tptp.set_difference @t323 @t142))))))))))))) % 4.52/4.74 (assume @p309 (forall @t45 (=> @t365 (=> (forall @t378 (=> (and @t321 (exists @t377 (and (= @t88 @t376) (tptp.in (tptp.ordered_pair @t393 (tptp.apply @t41 @t323)) @t2))) @t373 (exists (@list @t322 @t317) (and (= @t174 (tptp.ordered_pair @t322 @t317)) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t322) (tptp.apply @t41 @t317)) @t2)))) @t370)) (exists @t100 (forall @t98 (= @t121 (exists @t232 (and (tptp.in @t174 @t392) @t368 (exists @t372 (and (= @t88 @t371) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t316) (tptp.apply @t41 @t353)) @t2)))))))))))) % 4.52/4.74 (assume @p310 (forall @t13 (=> (forall @t129 (=> (and @t139 @t337 @t167 @t344) @t77)) (exists @t11 (forall @t106 (= @t150 (exists @t100 (and @t155 @t384 @t337)))))))) % 4.52/4.74 (assume @p311 (forall @t45 (=> @t396 (=> (forall @t378 (=> (and @t321 @t394 @t373 (tptp.in (tptp.relation_image @t41 @t174) @t2)) @t370)) (exists @t100 (forall @t98 (= @t121 (exists @t232 (and (tptp.in @t174 @t395) @t368 @t394))))))))) % 4.52/4.74 (assume @p312 (forall @t6 (=> @t29 (=> (forall @t234 (=> (and @t77 (exists @t232 (and (tptp.ordinal @t174) @t373 @t363)) @t381 (exists @t330 (and (tptp.ordinal @t328) (= @t88 @t328) @t375))) @t321)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t397) @t379 (exists @t326 (and (tptp.ordinal @t323) (= @t76 @t323) @t380))))))))))) % 4.52/4.74 (assume @p313 (forall @t6 (=> @t333 (forall @t106 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t369) (exists @t383 (and (= @t382 @t88) @t363 (exists @t326 (and (= @t174 @t323) (tptp.in @t328 @t323) (forall @t325 (=> @t324 (tptp.in (tptp.ordered_pair @t328 @t322) @t2))))))))))))))) % 4.52/4.74 (assume @p314 (forall @t6 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t43) (exists @t177 (and (= @t175 @t76) @t104 (= @t174 (tptp.singleton @t88)))))))))) % 4.52/4.74 (assume @p315 (forall @t13 (=> @t32 (exists @t11 (forall @t106 (= @t150 (and (tptp.in @t41 @t143) (exists @t100 (and @t344 @t77 @t359))))))))) % 4.52/4.74 (assume @p316 (forall @t6 (=> @t278 (exists @t106 (forall @t100 (= @t99 (and @t399 @t398))))))) % 4.52/4.74 (assume @p317 (forall @t6 (=> @t390 (exists @t106 (forall @t100 (= @t99 (and @t399 @t389))))))) % 4.52/4.74 (assume @p318 (forall @t6 (=> @t391 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t24) (exists @t98 (and @t96 (= @t76 (tptp.set_difference @t88 @t142))))))))))) % 4.52/4.74 (assume @p319 (forall @t45 (=> @t365 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t392) (exists @t383 (and (= @t88 @t382) (tptp.in (tptp.ordered_pair @t362 @t393) @t2)))))))))) % 4.52/4.74 (assume @p320 (forall @t13 (exists @t11 (forall @t106 (= @t150 (and @t78 @t337)))))) % 4.52/4.74 (assume @p321 (forall @t45 (=> @t396 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t395) @t394))))))) % 4.52/4.74 (assume @p322 (forall @t6 (=> @t29 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t397) (exists @t98 (and @t386 @t321 @t104))))))))) % 4.52/4.74 (assume @p323 (forall @t6 (=> @t333 (=> (and (forall @t234 (=> (and @t78 @t331 @t327) @t321)) (forall @t106 (not (and @t78 (forall @t100 (not (exists @t320 (and (= @t41 @t317) @t367 @t366)))))))) (exists @t106 (and @t42 @t202 @t200 (forall @t100 (=> @t155 (exists @t357 (and (= @t76 @t353) (tptp.in @t220 @t353) (forall @t356 (=> @t355 (tptp.in (tptp.ordered_pair @t220 @t351) @t2))))))))))))) % 4.52/4.74 (assume @p324 (forall @t13 (=> (and (forall @t129 (=> (and @t3 @t335 @t334) @t77)) (forall @t11 (not (and @t3 (forall @t106 (not @t335)))))) @t402))) % 4.52/4.74 (assume @p325 (=> (forall @t13 (=> @t32 (=> (forall @t11 (=> @t29 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t106 (=> (tptp.element @t41 (tptp.powerset @t249)) (not (and @t186 (forall @t100 (not (and @t99 (forall @t98 (=> (and (tptp.in @t88 @t41) (tptp.subset @t76 @t88)) @t379))))))))))))) (=> @t403 (forall @t232 (=> (tptp.element @t174 @t236) @t385)))))) (forall @t13 (=> @t32 (=> @t403 (forall @t325 (=> (tptp.element @t322 @t236) (not (and (not (= @t322 tptp.empty_set)) (forall @t320 (not (and @t374 (forall @t319 (=> (and (tptp.in @t316 @t322) (tptp.subset @t317 @t316)) (= @t316 @t317))))))))))))))) % 4.52/4.74 (assume @p326 (forall @t13 @t402)) % 4.52/4.74 (assume @p327 (forall @t6 (=> @t278 (exists @t106 (and @t405 (forall @t100 (=> @t404 (= @t99 @t398)))))))) % 4.52/4.74 (assume @p328 (forall @t6 (=> @t390 (exists @t106 (and @t405 (forall @t100 (=> @t404 (= @t99 @t389)))))))) % 4.52/4.74 (assume @p329 (forall @t6 (=> @t223 (tptp.disjoint @t2 @t1)))) % 4.52/4.74 (assume @p330 (forall @t6 (=> @t203 (tptp.equipotent @t2 @t1)))) % 4.52/4.74 (assume @p331 (forall @t13 (tptp.in @t1 @t143))) % 4.52/4.74 (assume @p332 (forall @t122 (not (and (= @t53 (tptp.unordered_pair @t41 @t76)) (not @t406) (not (= @t1 @t76)))))) % 4.52/4.74 (assume @p333 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t41))) (and @t5 (tptp.in @t1 @t198)))))) % 4.52/4.74 (assume @p334 (forall @t6 (=> @t84 (tptp.subset @t407 @t1)))) % 4.52/4.74 (assume @p335 (forall @t6 (=> @t84 (tptp.subset @t105 @t2)))) % 4.52/4.74 (assume @p336 (forall @t6 (=> @t84 (tptp.subset @t407 @t124)))) % 4.52/4.74 (assume @p337 (forall @t45 (=> @t86 (and (tptp.subset @t369 (tptp.cartesian_product2 @t2 @t41)) (tptp.subset (tptp.cartesian_product2 @t41 @t1) (tptp.cartesian_product2 @t41 @t2)))))) % 4.52/4.74 (assume @p338 (forall @t6 (=> @t84 (= @t407 (tptp.set_intersection2 @t124 @t1))))) % 4.52/4.74 (assume @p339 (forall @t122 (=> (and @t86 @t162) (tptp.subset @t369 (tptp.cartesian_product2 @t2 @t76))))) % 4.52/4.74 (assume @p340 (forall @t45 (=> @t135 (and (tptp.subset @t199 @t1) (tptp.subset @t198 @t2))))) % 4.52/4.74 (assume @p341 (forall @t6 (=> @t86 (= @t55 @t2)))) % 4.52/4.74 (assume @p342 (forall @t13 (exists @t11 (and @t5 @t410 (forall @t106 (=> @t150 (tptp.in @t409 @t2))) @t408)))) % 4.52/4.74 (assume @p343 (forall @t6 (=> (and @t86 @t48) @t33))) % 4.52/4.74 (assume @p344 (forall @t45 (=> @t42 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t41) @t2) (tptp.relation_rng_restriction @t1 @t411))))) % 4.52/4.74 (assume @p345 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_image @t41 @t2)) (exists @t100 (and (tptp.in @t76 @t199) (tptp.in (tptp.ordered_pair @t76 @t1) @t41) @t91)))))) % 4.52/4.74 (assume @p346 (forall @t6 (=> @t84 (tptp.subset @t412 @t124)))) % 4.52/4.74 (assume @p347 (forall @t6 (=> @t290 (tptp.subset @t414 @t1)))) % 4.52/4.74 (assume @p348 (forall @t6 (=> @t84 (= @t412 (tptp.relation_image @t2 @t415))))) % 4.52/4.74 (assume @p349 (forall @t6 (=> @t84 (=> (tptp.subset @t1 @t123) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t412)))))) % 4.52/4.74 (assume @p350 (forall @t13 (=> @t40 (= (tptp.relation_image @t1 @t97) @t206)))) % 4.52/4.74 (assume @p351 (forall @t6 (=> @t290 (=> @t416 (= @t414 @t1))))) % 4.52/4.74 (assume @p352 (forall @t122 (=> @t419 (=> (tptp.subset @t418 @t2) @t417)))) % 4.52/4.74 (assume @p353 (forall @t13 (=> @t158 (forall @t11 (=> @t116 (= (tptp.subset_intersection2 @t57 @t2 @t182) @t2)))))) % 4.52/4.74 (assume @p354 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t420 (tptp.relation_image @t2 @t206))))))) % 4.52/4.74 (assume @p355 (forall @t45 (=> @t42 (= (tptp.in @t1 @t421) (exists @t100 (and (tptp.in @t76 @t198) (tptp.in (tptp.ordered_pair @t1 @t76) @t41) @t91)))))) % 4.52/4.74 (assume @p356 (forall @t6 (=> @t84 (tptp.subset @t413 @t123)))) % 4.52/4.74 (assume @p357 (forall @t122 (=> @t419 (=> @t86 @t417)))) % 4.52/4.74 (assume @p358 (forall @t45 (=> @t42 (= (tptp.in @t1 @t422) (and @t305 (tptp.in @t1 @t216)))))) % 4.52/4.74 (assume @p359 (forall @t6 (=> @t84 (not (and @t156 @t416 (= @t413 tptp.empty_set)))))) % 4.52/4.74 (assume @p360 (forall @t45 (=> @t42 (=> @t86 (tptp.subset (tptp.relation_inverse_image @t41 @t1) @t421))))) % 4.52/4.74 (assume @p361 (forall @t6 (=> @t290 (=> @t33 (tptp.finite @t412))))) % 4.52/4.74 (assume @p362 (forall @t13 (=> @t158 (forall @t11 (=> @t116 (= @t159 @t214)))))) % 4.52/4.74 (assume @p363 (forall @t6 (=> @t84 (= @t423 (tptp.relation_dom_restriction @t105 @t1))))) % 4.52/4.74 (assume @p364 (forall @t6 (tptp.subset @t66 @t1))) % 4.52/4.74 (assume @p365 (forall @t13 (=> @t33 (forall @t11 (=> @t237 (not (and @t172 (forall @t106 (not (and @t150 (forall @t100 (=> (and @t91 @t162) @t384)))))))))))) % 4.52/4.74 (assume @p366 (forall @t6 (=> @t84 (= @t423 (tptp.relation_rng_restriction @t1 @t424))))) % 4.52/4.74 (assume @p367 (forall @t45 (=> @t42 (=> (tptp.in @t1 (tptp.relation_field @t422)) (and @t426 @t5))))) % 4.52/4.74 (assume @p368 (forall @t45 (=> (and @t86 @t427) (tptp.subset @t1 @t314)))) % 4.52/4.74 (assume @p369 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 4.52/4.74 (assume @p370 (forall @t6 (=> @t5 @t428))) % 4.52/4.74 (assume @p371 (forall @t45 (=> (and @t86 @t360) @t427))) % 4.52/4.74 (assume @p372 (= @t361 (tptp.singleton tptp.empty_set))) % 4.52/4.74 (assume @p373 (forall @t45 (=> @t42 (=> @t430 (and @t429 (tptp.in @t2 @t198)))))) % 4.52/4.74 (assume @p374 (forall @t6 (=> @t84 (and (tptp.subset @t431 @t163) (tptp.subset @t431 @t1))))) % 4.52/4.74 (assume @p375 (forall @t6 (=> @t290 (forall @t106 (=> @t222 (= @t434 (and @t429 (tptp.in @t432 @t123)))))))) % 4.52/4.74 (assume @p376 (forall @t122 (=> @t436 (forall @t98 (=> (and (tptp.relation @t88) (tptp.function @t88)) (=> @t78 (or @t133 (= (tptp.apply (tptp.relation_composition @t76 @t88) @t41) (tptp.apply @t88 @t435))))))))) % 4.52/4.74 (assume @p377 (forall @t13 (=> @t38 (forall @t11 (=> @t29 (=> @t8 @t5)))))) % 4.52/4.74 (assume @p378 (forall @t13 (=> @t40 (tptp.subset @t1 (tptp.cartesian_product2 @t97 @t206))))) % 4.52/4.74 (assume @p379 (forall @t45 (=> @t42 (tptp.subset (tptp.fiber (tptp.relation_restriction @t41 @t1) @t2) (tptp.fiber @t41 @t2))))) % 4.52/4.74 (assume @p380 (forall @t6 (=> @t290 (forall @t106 (=> @t222 (=> @t434 (= (tptp.apply @t433 @t1) (tptp.apply @t2 @t432)))))))) % 4.52/4.74 (assume @p381 (forall @t13 (=> @t158 (forall @t11 (=> @t116 (= (tptp.subset_difference @t57 @t182 @t214) @t2)))))) % 4.52/4.74 (assume @p382 (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))))) % 4.52/4.74 (assume @p383 (forall @t6 (=> @t84 (=> @t437 (tptp.reflexive @t423))))) % 4.52/4.74 (assume @p384 (forall @t6 (=> @t290 (forall @t106 (=> @t222 (=> (tptp.in @t1 @t123) (= (tptp.apply (tptp.relation_composition @t2 @t41) @t1) (tptp.apply @t41 (tptp.apply @t2 @t1))))))))) % 4.52/4.74 (assume @p385 (forall @t13 (=> (and @t63 @t69 @t224 @t225) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (tptp.below @t1 @t67 @t2)))))))) % 4.52/4.74 (assume @p386 (forall @t6 (=> @t29 (=> @t5 @t32)))) % 4.52/4.74 (assume @p387 (forall @t45 (=> @t135 (= (forall @t100 (not (and @t91 (forall @t98 (not (tptp.in @t118 @t41)))))) (= @t250 @t2))))) % 4.52/4.74 (assume @p388 (forall @t6 (=> @t84 (=> @t438 (tptp.connected @t423))))) % 4.52/4.74 (assume @p389 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (not (and @t298 @t238 @t4))))))) % 4.52/4.74 (assume @p390 (forall @t6 (=> @t84 (=> @t439 (tptp.transitive @t423))))) % 4.52/4.74 (assume @p391 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> @t86 (and (tptp.subset @t97 @t123) (tptp.subset @t206 @t124)))))))) % 4.52/4.74 (assume @p392 (forall @t6 (=> @t84 (=> @t440 (tptp.antisymmetric @t423))))) % 4.52/4.74 (assume @p393 (forall @t6 (=> @t84 (=> @t443 (and @t442 @t441))))) % 4.52/4.74 (assume @p394 (forall @t13 (=> @t103 (=> (tptp.finite @t97) (tptp.finite @t206))))) % 4.52/4.74 (assume @p395 (forall @t13 (=> (and @t63 @t61 @t60) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (=> (and @t178 (tptp.below @t1 @t41 @t2)) @t139)))))))) % 4.52/4.74 (assume @p396 (forall @t13 (exists @t11 (and @t84 @t443)))) % 4.52/4.74 (assume @p397 (forall @t45 (=> @t86 (tptp.subset (tptp.set_intersection2 @t1 @t41) @t314)))) % 4.52/4.74 (assume @p398 (forall @t13 (=> @t171 (not (and (forall @t11 (not (and @t3 @t133))) (forall @t11 (=> @t290 (not (and @t401 (forall @t106 (=> @t78 (tptp.in @t400 @t41)))))))))))) % 4.52/4.74 (assume @p399 (forall @t6 (=> @t86 (= @t66 @t1)))) % 4.52/4.74 (assume @p400 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t215 @t287)))))) % 4.52/4.74 (assume @p401 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 4.52/4.74 (assume @p402 (forall @t6 (=> @t428 (or @t170 @t5)))) % 4.52/4.74 (assume @p403 (forall @t6 (=> (forall @t106 (= @t78 @t150)) @t87))) % 4.52/4.74 (assume @p404 (forall @t13 (tptp.reflexive @t164))) % 4.52/4.74 (assume @p405 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 4.52/4.74 (assume @p406 (forall @t45 (=> @t42 (=> @t430 (and @t426 (tptp.in @t2 @t425)))))) % 4.52/4.74 (assume @p407 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t209 @t289)))))) % 4.52/4.74 (assume @p408 (forall @t13 (=> (forall @t11 (=> @t3 (and @t29 @t85))) @t32))) % 4.52/4.74 (assume @p409 (forall @t6 (=> @t84 (=> @t444 (tptp.well_founded_relation @t423))))) % 4.52/4.74 (assume @p410 (forall @t6 (=> @t29 (not (and @t86 @t156 (forall @t106 (=> @t337 (not (and @t78 (forall @t100 (=> @t344 (=> @t155 (tptp.ordinal_subset @t41 @t76))))))))))))) % 4.52/4.74 (assume @p411 (forall @t6 (=> @t84 (=> @t299 @t441)))) % 4.52/4.74 (assume @p412 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (= @t5 (tptp.ordinal_subset @t143 @t2))))))) % 4.52/4.74 (assume @p413 (forall @t45 (=> @t86 (tptp.subset (tptp.set_difference @t1 @t41) @t315)))) % 4.52/4.74 (assume @p414 (forall @t122 (=> (= @t211 @t79) (and @t406 @t167)))) % 4.52/4.74 (assume @p415 (forall @t6 (=> @t290 (= @t83 (and @t401 (forall @t106 (=> @t78 (= @t400 @t41)))))))) % 4.52/4.74 (assume @p416 (forall @t6 (=> @t3 (= (tptp.apply @t82 @t2) @t2)))) % 4.52/4.74 (assume @p417 (forall @t6 (tptp.subset @t204 @t1))) % 4.52/4.74 (assume @p418 (forall @t13 (=> @t40 (and (= @t206 (tptp.relation_dom @t218)) (= @t97 (tptp.relation_rng @t218)))))) % 4.52/4.74 (assume @p419 (forall @t45 (= (tptp.subset @t53 @t41) (and @t305 @t181)))) % 4.52/4.74 (assume @p420 (forall @t6 (=> @t84 (=> (and @t299 (tptp.subset @t1 @t163)) @t442)))) % 4.52/4.74 (assume @p421 (forall @t6 (= @t445 @t55))) % 4.52/4.74 (assume @p422 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 4.52/4.74 (assume @p423 (forall @t45 (not (and @t5 @t181 @t78)))) % 4.52/4.74 (assume @p424 (forall @t6 (= @t306 @t86))) % 4.52/4.74 (assume @p425 (forall @t13 (tptp.transitive @t164))) % 4.52/4.74 (assume @p426 (forall @t6 (and (not (and @t447 (forall @t106 (not @t446)))) (not (and (exists @t106 @t446) @t223))))) % 4.52/4.74 (assume @p427 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t132))) % 4.52/4.74 (assume @p428 (forall @t6 (= (tptp.set_difference @t55 @t2) @t204))) % 4.52/4.74 (assume @p429 @t453) % 4.52/4.74 (assume @p430 (forall @t13 (=> @t32 (and (not (and (not @t208) (forall @t11 (=> @t29 (not @t454))))) (not (and (exists @t11 (and @t29 @t454)) @t208)))))) % 4.52/4.74 (assume @p431 (forall @t6 (=> @t25 (forall @t106 (=> @t72 (= @t456 (tptp.subset @t2 @t455))))))) % 4.52/4.74 (assume @p432 (forall @t13 (=> @t291 (forall @t11 (=> @t148 (=> (forall @t106 (=> @t115 (=> @t150 (tptp.closed_subset @t41 @t1)))) (tptp.closed_subset (tptp.meet_of_subsets @t57 @t2) @t1))))))) % 4.52/4.74 (assume @p433 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (tptp.subset @t457 @t97)))))) % 4.52/4.74 (assume @p434 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (tptp.subset @t160 @t2)))))) % 4.52/4.74 (assume @p435 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (forall @t106 (=> (tptp.in @t41 @t57) (= (tptp.in @t41 @t114) (forall @t100 (=> @t404 (=> @t458 @t154))))))))))) % 4.52/4.74 (assume @p436 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (tptp.subset @t420 @t124)))))) % 4.52/4.74 (assume @p437 (forall @t6 (=> @t86 (= @t2 @t445)))) % 4.52/4.74 (assume @p438 (forall @t122 (=> @t436 (=> @t172 (forall @t98 (= (tptp.in @t88 (tptp.relation_inverse_image @t76 @t41)) (and @t104 (tptp.in (tptp.apply @t76 @t88) @t41)))))))) % 4.52/4.74 (assume @p439 (forall @t13 (=> @t291 (forall @t11 (=> @t116 (exists @t106 (and @t405 (forall @t100 (=> @t404 (= @t99 @t458))) (= @t114 (tptp.meet_of_subsets @t57 @t41))))))))) % 4.52/4.74 (assume @p440 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> (tptp.subset @t206 @t123) (= @t457 @t97))))))) % 4.52/4.74 (assume @p441 (forall @t6 (=> @t237 (not (and @t172 (= @t235 tptp.empty_set)))))) % 4.52/4.74 (assume @p442 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> (tptp.subset @t97 @t124) (= (tptp.relation_rng @t259) @t206))))))) % 4.52/4.74 (assume @p443 (forall @t6 (=> @t237 (=> @t172 (= (tptp.subset_difference @t1 @t194 @t251) (tptp.meet_of_subsets @t1 @t235)))))) % 4.52/4.74 (assume @p444 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (tptp.subset @t2 @t114)))))) % 4.52/4.74 (assume @p445 (forall @t6 (=> @t237 (=> @t172 (= (tptp.union_of_subsets @t1 @t235) (tptp.subset_difference @t1 @t194 @t253)))))) % 4.52/4.74 (assume @p446 (forall @t6 (= (tptp.set_difference @t1 @t204) @t66))) % 4.52/4.74 (assume @p447 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t222 (=> @t221 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t41)))))))))) % 4.52/4.74 (assume @p448 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 4.52/4.74 (assume @p449 (forall @t45 (=> (and @t5 @t459) (tptp.element @t1 @t41)))) % 4.52/4.74 (assume @p450 (forall @t13 (=> @t32 (tptp.connected @t164)))) % 4.52/4.74 (assume @p451 (forall @t6 (and (not (and @t447 (forall @t106 (not @t460)))) (not (and (exists @t106 @t460) @t223))))) % 4.52/4.74 (assume @p452 (forall @t13 (=> @t156 (forall @t11 (=> @t25 (forall @t106 (=> (tptp.element @t41 @t1) (=> @t179 (tptp.in @t41 @t210))))))))) % 4.52/4.74 (assume @p453 (forall @t13 (=> @t291 (forall @t11 (=> @t116 @t295))))) % 4.52/4.74 (assume @p454 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (and (=> @t215 @t461) (=> (and @t149 @t461) @t215))))))) % 4.52/4.74 (assume @p455 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t222 (=> @t221 (and (=> @t196 @t437) (=> @t120 @t439) (=> @t119 @t438) (=> @t108 @t440) (=> @t173 @t444)))))))))) % 4.52/4.74 (assume @p456 (forall @t13 (=> @t103 (=> @t49 (forall @t11 (=> @t290 (= (= @t2 @t239) (and (= @t123 @t206) (forall @t81 (and (=> @t462 @t205) (=> @t205 @t462))))))))))) % 4.52/4.74 (assume @p457 (forall @t45 (=> @t72 (not (and (tptp.in @t2 @t455) @t181))))) % 4.52/4.74 (assume @p458 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t222 (=> (and @t197 @t221) @t299)))))))) % 4.52/4.74 (assume @p459 (forall @t13 (=> @t103 (=> @t49 (and (= @t206 (tptp.relation_dom @t239)) (= @t97 (tptp.relation_rng @t239))))))) % 4.52/4.74 (assume @p460 (forall @t13 (=> @t291 (forall @t11 (=> (tptp.top_str @t2) (forall @t106 (=> @t115 (forall @t100 (=> (tptp.element @t76 (tptp.powerset (tptp.the_carrier @t2))) (and (=> (tptp.open_subset @t76 @t2) (= (tptp.interior @t2 @t76) @t76)) (=> (= (tptp.interior @t1 @t41) @t41) (tptp.open_subset @t41 @t1)))))))))))) % 4.52/4.74 (assume @p461 (forall @t13 (=> @t40 (=> (forall @t95 @t302) @t132)))) % 4.52/4.74 (assume @p462 (forall @t6 (=> @t290 (=> (and @t309 (tptp.in @t1 @t124)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t463 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t463 @t2) @t1))))))) % 4.52/4.74 (assume @p463 (forall @t45 (not (and @t5 @t459 (tptp.empty @t41))))) % 4.52/4.74 (assume @p464 @t468) % 4.52/4.74 (assume @p465 (forall @t13 (=> @t40 (= @t173 (tptp.is_well_founded_in @t1 @t107))))) % 4.52/4.74 (assume @p466 (forall @t13 (tptp.antisymmetric @t164))) % 4.52/4.74 (assume @p467 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 4.52/4.74 (assume @p468 (forall @t6 (not (and @t86 @t7)))) % 4.52/4.74 (assume @p469 (forall @t13 (=> @t103 (=> @t49 (tptp.one_to_one @t239))))) % 4.52/4.74 (assume @p470 (forall @t45 (=> (and @t86 @t456) (tptp.disjoint @t1 @t41)))) % 4.52/4.74 (assume @p471 (forall @t13 (=> @t40 (=> (or @t470 @t469) @t132)))) % 4.52/4.74 (assume @p472 (forall @t13 (=> @t40 (= @t470 @t469)))) % 4.52/4.74 (assume @p473 (forall @t6 (= (= (tptp.set_difference @t1 @t303) @t1) @t4))) % 4.52/4.74 (assume @p474 (forall @t6 (=> @t290 (forall @t106 (=> @t222 (= (= @t2 @t307) (and (= @t123 (tptp.set_intersection2 @t199 @t1)) (forall @t100 (=> (tptp.in @t76 @t123) (= (tptp.apply @t2 @t76) @t220)))))))))) % 4.52/4.74 (assume @p475 (forall @t13 (= (tptp.unordered_pair @t1 @t1) @t142))) % 4.52/4.74 (assume @p476 @t471) % 4.52/4.74 (assume @p477 (forall @t122 (=> @t436 (=> @t78 (or @t133 (tptp.in @t435 @t418)))))) % 4.52/4.74 (assume @p478 (forall @t13 (=> @t32 (tptp.well_founded_relation @t164)))) % 4.52/4.74 (assume @p479 (forall @t6 (=> (tptp.subset @t142 @t303) @t87))) % 4.52/4.74 (assume @p480 (forall @t45 (=> @t222 (=> @t308 @t472)))) % 4.52/4.74 (assume @p481 (forall @t13 (and (= (tptp.relation_dom @t82) @t1) (= (tptp.relation_rng @t82) @t1)))) % 4.52/4.74 (assume @p482 (forall @t45 (=> @t222 (=> @t3 @t472)))) % 4.52/4.74 (assume @p483 (forall @t122 (=> @t364 (= (tptp.in @t211 (tptp.relation_composition (tptp.identity_relation @t41) @t76)) (and @t305 (tptp.in @t211 @t76)))))) % 4.52/4.74 (assume @p484 @t473) % 4.52/4.74 (assume @p485 (forall @t6 (and (= (tptp.pair_first @t211) @t1) (= (tptp.pair_second @t211) @t2)))) % 4.52/4.74 (assume @p486 (forall @t6 (not (and @t5 (forall @t106 (not (and @t150 (forall @t100 (not (and @t91 @t99)))))))))) % 4.52/4.74 (assume @p487 (forall @t13 (=> @t32 (tptp.well_ordering @t164)))) % 4.52/4.74 (assume @p488 (forall @t6 (tptp.subset @t1 @t55))) % 4.52/4.74 (assume @p489 (forall @t6 (= @t223 (= @t204 @t1)))) % 4.52/4.74 (assume @p490 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_dom @t411)) (and @t5 @t429))))) % 4.52/4.74 (assume @p491 (forall @t6 (=> @t84 (tptp.subset @t424 @t2)))) % 4.52/4.74 (assume @p492 (forall @t6 (not (and @t22 @t238 @t170)))) % 4.52/4.74 (assume @p493 (forall @t45 (=> @t222 (= @t430 (and @t429 (= @t2 @t432)))))) % 4.52/4.74 (assume @p494 (forall @t13 (=> @t40 (= (tptp.well_orders @t1 @t107) @t197)))) % 4.52/4.74 (assume @p495 (forall @t45 (=> (and @t86 @t187) (tptp.subset (tptp.set_union2 @t1 @t41) @t2)))) % 4.52/4.74 (assume @p496 (forall @t45 (=> @t474 @t87))) % 4.52/4.74 (assume @p497 (forall @t6 (=> @t84 (= (tptp.relation_dom @t424) @t415)))) % 4.52/4.74 (assume @p498 (forall @t6 (=> @t84 (= @t424 (tptp.relation_composition @t82 @t2))))) % 4.52/4.74 (assume @p499 (forall @t6 (=> @t84 (tptp.subset (tptp.relation_rng @t424) @t124)))) % 4.52/4.74 (assume @p500 (forall @t13 (= (tptp.union @t24) @t1))) % 4.52/4.74 (assume @p501 (forall @t122 (=> @t436 (=> @t360 (or (and @t133 @t156) (and @t242 (tptp.quasi_total @t76 @t1 @t41) (tptp.relation_of2_as_subset @t76 @t1 @t41))))))) % 4.52/4.74 (assume @p502 (forall @t13 (exists @t11 (and @t5 @t410 (forall @t106 (not (and @t150 (forall @t100 (not (and @t91 (forall @t98 (=> (tptp.subset @t88 @t41) @t121)))))))) @t408)))) % 4.52/4.74 (assume @p503 (forall @t45 (=> @t474 @t139))) % 4.52/4.74 (step @p504 :rule and_elim :premises (@p168) :args (0)) % 4.52/4.74 (step @p505 :rule bool-impl-elim :args (@t158 @t475)) % 4.52/4.74 (step @p506 :rule cong :premises (@p505) :args ((forall @t13 (=> @t158 @t475)))) % 4.52/4.74 (step @p507 :rule eq-symm :args (@t182 @t57)) % 4.52/4.74 (step @p508 :rule refl :args (@t158)) % 4.52/4.74 (step @p509 :rule cong :premises (@p508 @p507) :args (@t183)) % 4.52/4.74 (step @p510 :rule cong :premises (@p509) :args (@t184)) % 4.52/4.74 (step @p511 :rule trans :premises (@p510 @p506)) % 4.52/4.74 (step @p512 :rule eq_resolve :premises (@p82 @p511)) % 4.52/4.74 (step @p513 :rule instantiate :premises (@p512) :args (@t481)) % 4.52/4.74 (step @p514 :rule aci_norm :args ((= (or @t483 @t482) @t479))) % 4.52/4.74 (step @p515 :rule refl :args (@t482)) % 4.52/4.74 (step @p516 :rule refl :args (@t478)) % 4.52/4.74 (step @p517 :rule bool-double-not-elim :args (@t62)) % 4.52/4.74 (step @p518 :rule nary_cong :premises (@p517 @p516) :args ((or (not @t63) @t478))) % 4.52/4.74 (step @p519 :rule bool-and-de-morgan :args (@t63 @t158 true)) % 4.52/4.74 (step @p520 :rule trans :premises (@p519 @p518)) % 4.52/4.74 (step @p521 :rule nary_cong :premises (@p520 @p515) :args ((or @t484 @t482))) % 4.52/4.74 (step @p522 :rule trans :premises (@p521 @p514)) % 4.52/4.74 (step @p523 :rule bool-impl-elim :args (@t270 @t482)) % 4.52/4.74 (step @p524 :rule trans :premises (@p523 @p522)) % 4.52/4.74 (step @p525 :rule cong :premises (@p524) :args ((forall @t13 (=> @t270 @t482)))) % 4.52/4.74 (step @p526 :rule aci_norm :args ((= (or @t477 @t476 false) @t482))) % 4.52/4.74 (step @p527 :rule evaluate :args ((not true))) % 4.52/4.74 (step @p528 :rule eq-refl :args (tptp.empty_set)) % 4.52/4.74 (step @p529 :rule cong :premises (@p528) :args (@t485)) % 4.52/4.74 (step @p530 :rule trans :premises (@p529 @p527)) % 4.52/4.74 (step @p531 :rule refl :args (@t476)) % 4.52/4.74 (step @p532 :rule refl :args (@t477)) % 4.52/4.74 (step @p533 :rule nary_cong :premises (@p532 @p531 @p530) :args (@t486)) % 4.52/4.74 (step @p534 :rule trans :premises (@p533 @p526)) % 4.52/4.74 (step @p535 :rule quant-var-elim-eq :args ((= (forall @t11 @t489) @t486))) % 4.52/4.74 (step @p536 :rule aci_norm :args ((= @t490 @t489))) % 4.52/4.74 (step @p537 :rule cong :premises (@p536) :args ((forall @t11 @t490))) % 4.52/4.74 (step @p538 :rule trans :premises (@p537 @p535)) % 4.52/4.74 (step @p539 :rule trans :premises (@p538 @p534)) % 4.52/4.74 (step @p540 :rule aci_norm :args ((= (or @t488 (or @t487 @t172)) @t490))) % 4.52/4.74 (step @p541 :rule bool-and-de-morgan :args (@t226 @t133 true)) % 4.52/4.74 (step @p542 :rule refl :args (@t488)) % 4.52/4.74 (step @p543 :rule nary_cong :premises (@p542 @p541) :args ((or @t488 @t464))) % 4.52/4.74 (step @p544 :rule trans :premises (@p543 @p540)) % 4.52/4.74 (step @p545 :rule bool-impl-elim :args (@t148 @t464)) % 4.52/4.74 (step @p546 :rule trans :premises (@p545 @p544)) % 4.52/4.74 (step @p547 :rule cong :premises (@p546) :args (@t465)) % 4.52/4.74 (step @p548 :rule trans :premises (@p547 @p539)) % 4.52/4.74 (step @p549 :rule refl :args (@t270)) % 4.52/4.74 (step @p550 :rule cong :premises (@p549 @p548) :args (@t466)) % 4.52/4.74 (step @p551 :rule cong :premises (@p550) :args (@t467)) % 4.52/4.74 (step @p552 :rule trans :premises (@p551 @p525)) % 4.52/4.74 (step @p553 :rule cong :premises (@p552) :args (@t468)) % 4.52/4.74 (step @p554 :rule eq_resolve :premises (@p464 @p553)) % 4.52/4.74 (step @p555 :rule skolemize :premises (@p554)) % 4.52/4.74 (step @p556 :rule bool-double-not-elim :args (@t491)) % 4.52/4.74 (step @p557 :rule refl :args (@t499)) % 4.52/4.74 (step @p558 :rule nary_cong :premises (@p557 @p556) :args ((or @t499 (not @t497)))) % 4.52/4.74 (step @p559 :rule cnf_or_neg :args (@t499 1)) % 4.52/4.74 (step @p560 :rule eq_resolve :premises (@p559 @p558)) % 4.52/4.74 (step @p561 :rule reordering :premises (@p560) :args ((or @t491 @t499))) % 4.52/4.74 (step @p562 :rule chain_m_resolution :premises (@p561 @p555) :args (@t491 @t500 @t501)) % 4.52/4.74 (step @p563 :rule cnf_or_pos :args (@t504)) % 4.52/4.74 (step @p564 :rule reordering :premises (@p563) :args ((or @t497 @t503 (not @t504)))) % 4.52/4.74 (step @p565 :rule chain_m_resolution :premises (@p564 @p562 @p513) :args (@t503 @t505 (@list @t491 @t504))) % 4.52/4.74 (step @p566 :rule aci_norm :args ((= (or @t483 @t269) (or @t62 @t478 @t269)))) % 4.52/4.74 (step @p567 :rule refl :args (@t269)) % 4.52/4.74 (step @p568 :rule nary_cong :premises (@p520 @p567) :args ((or @t484 @t269))) % 4.52/4.74 (step @p569 :rule trans :premises (@p568 @p566)) % 4.52/4.74 (step @p570 :rule bool-impl-elim :args (@t270 @t269)) % 4.52/4.74 (step @p571 :rule trans :premises (@p570 @p569)) % 4.52/4.74 (step @p572 :rule cong :premises (@p571) :args (@t271)) % 4.52/4.74 (step @p573 :rule eq_resolve :premises (@p178 @p572)) % 4.52/4.74 (step @p574 :rule instantiate :premises (@p573) :args (@t481)) % 4.52/4.74 (step @p575 :rule cnf_or_neg :args (@t499 0)) % 4.52/4.74 (step @p576 :rule chain_m_resolution :premises (@p575 @p555) :args ((not @t498) @t500 @t501)) % 4.52/4.74 (step @p577 :rule cnf_or_pos :args (@t508)) % 4.52/4.74 (step @p578 :rule reordering :premises (@p577) :args ((or @t498 @t497 @t507 (not @t508)))) % 4.52/4.74 (step @p579 :rule chain_m_resolution :premises (@p578 @p576 @p562 @p574) :args (@t507 (@list true false false) (@list @t498 @t491 @t508))) % 4.52/4.74 (step @p580 :rule bool-impl-elim :args (@t237 @t312)) % 4.52/4.74 (step @p581 :rule cong :premises (@p580) :args (@t313)) % 4.52/4.74 (step @p582 :rule eq_resolve :premises (@p286 @p581)) % 4.52/4.74 (step @p583 :rule instantiate :premises (@p582) :args ((@list @t494 tptp.empty_set))) % 4.52/4.74 (step @p584 :rule bool-double-not-elim :args (@t495)) % 4.52/4.74 (step @p585 :rule nary_cong :premises (@p557 @p584) :args ((or @t499 (not @t496)))) % 4.52/4.74 (step @p586 :rule cnf_or_neg :args (@t499 2)) % 4.52/4.74 (step @p587 :rule eq_resolve :premises (@p586 @p585)) % 4.52/4.74 (step @p588 :rule reordering :premises (@p587) :args ((or @t495 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@t38 @t37 @t32))))) % 4.52/4.74 (step @p628 :rule bool-and-de-morgan :args (@t40 @t36 (and @t49 @t22 @t38 @t37 @t32))) % 4.52/4.74 (step @p629 :rule trans :premises (@p628 @p627)) % 4.52/4.74 (step @p630 :rule trans :premises (@p629 @p608)) % 4.52/4.74 (step @p631 :rule cong :premises (@p630) :args (@t529)) % 4.52/4.74 (step @p632 :rule cong :premises (@p631) :args (@t530)) % 4.52/4.74 (step @p633 :rule exists-elim :args ((= @t311 @t530))) % 4.52/4.74 (step @p634 :rule trans :premises (@p633 @p632)) % 4.52/4.74 (step @p635 :rule eq_resolve :premises (@p267 @p634)) % 4.52/4.74 (step @p636 :rule skolemize :premises (@p635)) % 4.52/4.74 (step @p637 :rule bool-double-not-elim :args (@t521)) % 4.52/4.74 (step @p638 :rule refl :args (@t533)) % 4.52/4.74 (step @p639 :rule nary_cong :premises (@p638 @p637) :args ((or @t533 (not @t522)))) % 4.52/4.74 (step @p640 :rule cnf_or_neg :args (@t533 3)) % 4.52/4.74 (step @p641 :rule eq_resolve :premises (@p640 @p639)) % 4.52/4.74 (step @p642 :rule 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(step @p656 :rule quant-merge-prenex :args ((= (forall @t13 @t545) @t543))) % 4.52/4.74 (step @p657 :rule alpha_equiv :args (@t546 (@list @t535) (@list @t2))) % 4.52/4.74 (step @p658 :rule nary_cong :premises (@p516 @p657) :args (@t547)) % 4.52/4.74 (step @p659 :rule quant-miniscope-or :args ((= @t545 @t547))) % 4.52/4.74 (step @p660 :rule trans :premises (@p659 @p658)) % 4.52/4.74 (step @p661 :rule symm :premises (@p660)) % 4.52/4.74 (step @p662 :rule cong :premises (@p661) :args ((forall @t13 (or @t478 @t549)))) % 4.52/4.74 (step @p663 :rule trans :premises (@p662 @p656)) % 4.52/4.74 (step @p664 :rule trans :premises (@p663 @p655)) % 4.52/4.74 (step @p665 :rule bool-impl-elim :args (@t158 @t549)) % 4.52/4.74 (step @p666 :rule cong :premises (@p665) :args ((forall @t13 (=> @t158 @t549)))) % 4.52/4.74 (step @p667 :rule trans :premises (@p666 @p664)) % 4.52/4.74 (step @p668 :rule bool-impl-elim :args (@t148 @t548)) % 4.52/4.74 (step @p669 :rule cong :premises (@p668) :args ((forall @t11 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@p684 :rule chain_m_resolution :premises (@p683 @p562 @p589 @p681) :args (@t551 (@list false false false) (@list @t491 @t495 @t552))) % 4.52/4.74 (step @p685 :rule bool-double-not-elim :args (@t492)) % 4.52/4.74 (step @p686 :rule nary_cong :premises (@p557 @p685) :args ((or @t499 (not @t493)))) % 4.52/4.74 (step @p687 :rule cnf_or_neg :args (@t499 3)) % 4.52/4.74 (step @p688 :rule eq_resolve :premises (@p687 @p686)) % 4.52/4.74 (step @p689 :rule reordering :premises (@p688) :args ((or @t492 @t499))) % 4.52/4.74 (step @p690 :rule chain_m_resolution :premises (@p689 @p555) :args (@t492 @t500 @t501)) % 4.52/4.74 (step @p691 :rule cnf_equiv_pos1 :args (@t551)) % 4.52/4.74 (step @p692 :rule reordering :premises (@p691) :args ((or @t493 @t550 (not @t551)))) % 4.52/4.74 (step @p693 :rule chain_m_resolution :premises (@p692 @p690 @p684) :args (@t550 @t505 (@list @t492 @t551))) % 4.52/4.74 (step @p694 :rule instantiate :premises (@p103) :args (@t525)) % 4.52/4.74 (step @p695 :rule 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(step @p710 :rule trans :premises (@p709 @p696)) % 4.52/4.74 (step @p711 :rule eq_resolve :premises (@p429 @p710)) % 4.52/4.74 (step @p712 :rule instantiate :premises (@p711) :args (@t525)) % 4.52/4.74 (step @p713 :rule bool-double-not-elim :args (@t531)) % 4.52/4.74 (step @p714 :rule nary_cong :premises (@p638 @p713) :args ((or @t533 (not @t532)))) % 4.52/4.74 (step @p715 :rule cnf_or_neg :args (@t533 6)) % 4.52/4.74 (step @p716 :rule eq_resolve :premises (@p715 @p714)) % 4.52/4.74 (step @p717 :rule reordering :premises (@p716) :args ((or @t531 @t533))) % 4.52/4.74 (step @p718 :rule chain_m_resolution :premises (@p717 @p636) :args (@t531 @t500 @t534)) % 4.52/4.74 (step @p719 :rule cnf_or_pos :args (@t559)) % 4.52/4.74 (step @p720 :rule reordering :premises (@p719) :args ((or @t532 @t558 (not @t559)))) % 4.52/4.74 (step @p721 :rule chain_m_resolution :premises (@p720 @p718 @p712) :args (@t558 @t505 (@list @t531 @t559))) % 4.52/4.74 (step @p722 :rule bool-and-de-morgan :args (@t5 @t170 true)) % 4.52/4.74 (step @p723 :rule cong :premises (@p722) :args (@t473)) % 4.52/4.74 (step @p724 :rule eq_resolve :premises (@p484 @p723)) % 4.52/4.74 (step @p725 :rule instantiate :premises (@p724) :args ((@list @t560 @t520))) % 4.52/4.74 (step @p726 :rule cnf_or_pos :args (@t563)) % 4.52/4.74 (step @p727 :rule reordering :premises (@p726) :args ((or @t522 @t562 (not @t563)))) % 4.52/4.74 (step @p728 :rule chain_m_resolution :premises (@p727 @p643 @p725) :args (@t562 @t505 (@list @t521 @t563))) % 4.52/4.74 (step @p729 :rule bool-double-not-elim :args (@t561)) % 4.52/4.74 (step @p730 :rule refl :args (@t564)) % 4.52/4.74 (step @p731 :rule nary_cong :premises (@p730 @p729) :args ((or @t564 (not @t562)))) % 4.52/4.74 (step @p732 :rule cnf_or_neg :args (@t564 1)) % 4.52/4.74 (step @p733 :rule eq_resolve :premises (@p732 @p731)) % 4.52/4.74 (step @p734 :rule reordering :premises (@p733) :args ((or @t561 @t564))) % 4.52/4.74 (step @p735 :rule chain_m_resolution :premises (@p734 @p728) :args (@t564 @t500 (@list @t561))) % 4.52/4.74 (step @p736 :rule refl :args (@t565)) % 4.52/4.74 (step @p737 :rule bool-double-not-elim :args (@t556)) % 4.52/4.74 (step @p738 :rule nary_cong :premises (@p737 @p736) :args ((or (not @t566) @t565))) % 4.52/4.74 (assume-push @p810 @t566) % 4.52/4.74 (step @p740 :rule skolemize :premises (@p810)) % 4.52/4.74 (step-pop @p811 :rule scope :premises (@p740)) % 4.52/4.74 (step @p741 :rule process_scope :premises (@p811) :args (@t565)) % 4.52/4.74 (step @p743 :rule implies_elim :premises (@p741)) % 4.52/4.74 (step @p744 :rule eq_resolve :premises (@p743 @p738)) % 4.52/4.74 (step @p745 :rule chain_m_resolution :premises (@p744 @p735) :args (@t556 @t528 (@list @t564))) % 4.52/4.74 (step @p746 :rule cnf_equiv_pos2 :args (@t558)) % 4.52/4.74 (step @p747 :rule reordering :premises (@p746) :args ((or @t557 @t566 (not @t558)))) % 4.52/4.74 (step @p748 :rule chain_m_resolution :premises (@p747 @p745 @p721) :args (@t557 @t505 (@list @t556 @t558))) % 4.52/4.74 (step @p749 :rule cnf_equiv_pos1 :args (@t568)) % 4.52/4.74 (step @p750 :rule reordering :premises (@p749) :args ((or (not @t557) @t567 (not @t568)))) % 4.52/4.74 (step @p751 :rule chain_m_resolution :premises (@p750 @p748 @p694) :args (@t567 @t505 (@list @t557 @t568))) % 4.52/4.74 (step @p752 :rule refl :args (@t569)) % 4.52/4.74 (step @p753 :rule refl :args (@t570)) % 4.52/4.74 (step @p754 :rule refl :args (@t571)) % 4.52/4.74 (step @p755 :rule bool-double-not-elim :args (@t506)) % 4.52/4.74 (step @p756 :rule refl :args (@t572)) % 4.52/4.74 (step @p757 :rule refl :args (@t573)) % 4.52/4.74 (step @p758 :rule refl :args (@t574)) % 4.52/4.74 (step @p759 :rule nary_cong :premises (@p758 @p757 @p756 @p755 @p754 @p753 @p752) :args ((or @t574 @t573 @t572 (not @t507) @t571 @t570 @t569))) % 4.52/4.76 (assume-push @p812 @t263) % 4.52/4.76 (assume-push @p813 @t526) % 4.52/4.76 (assume-push @p814 @t567) % 4.52/4.76 (assume-push @p815 @t511) % 4.52/4.76 (assume-push @p816 @t550) % 4.52/4.76 (assume-push @p817 @t503) % 4.52/4.76 (assume-push @p818 @t507) % 4.52/4.76 (step @p767 :rule evaluate :args ((= false true))) % 4.52/4.76 (step @p768 :rule true_intro :premises (@p504)) % 4.52/4.76 (step @p769 :rule symm :premises (@p646)) % 4.52/4.76 (step @p770 :rule symm :premises (@p814)) % 4.52/4.76 (step @p771 :rule cong :premises (@p646) :args (@t509)) % 4.52/4.76 (step @p772 :rule trans :premises (@p565 @p693 @p592 @p771 @p770 @p769)) % 4.52/4.76 (step @p773 :rule cong :premises (@p772) :args (@t506)) % 4.52/4.76 (step @p774 :rule false_intro :premises (@p579)) % 4.52/4.76 (step @p775 :rule symm :premises (@p774)) % 4.52/4.76 (step @p776 :rule trans :premises (@p775 @p773 @p768)) % 4.52/4.76 (step @p777 false :rule eq_resolve :premises (@p776 @p767)) % 4.52/4.76 (step-pop @p819 :rule scope :premises (@p777)) % 4.52/4.76 (step-pop @p820 :rule scope :premises (@p819)) % 4.52/4.76 (step-pop @p821 :rule scope :premises (@p820)) % 4.52/4.76 (step-pop @p822 :rule scope 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(step-pop @p839 :rule scope :premises (@p838)) % 4.52/4.76 (step @p794 :rule process_scope :premises (@p839) :args (@t575)) % 4.52/4.76 (step @p802 :rule implies_elim :premises (@p794)) % 4.52/4.76 (step @p803 :rule resolution :premises (@p802 @p778) :args (true @t575)) % 4.52/4.76 (step @p804 :rule not_and :premises (@p803)) % 4.52/4.76 (step @p805 :rule eq_resolve :premises (@p804 @p759)) % 4.52/4.76 (step @p806 :rule reordering :premises (@p805) :args ((or @t574 @t506 @t573 @t572 @t571 @t570 @t569))) % 4.52/4.76 (step @p807 false :rule chain_m_resolution :premises (@p806 @p751 @p693 @p646 @p592 @p579 @p565 @p504) :args (false (@list false false false false true false false) (@list @t567 @t550 @t526 @t511 @t506 @t503 @t263))) % 4.52/4.76 ) % 4.52/4.76 % SZS output end Proof % 4.52/4.76 % cvc5 exiting %------------------------------------------------------------------------------