%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU324+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : 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 4.63s 4.83s % Output : Proof 4.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU324+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n027.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 16:57:06 EDT 2026 % 0.19/0.35 % CPUTime : % 0.39/0.63 %----Proving TF0_NAR, FOF, or CNF % 4.63/4.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 4.63/4.83 % SZS status Theorem % 4.63/4.83 % SZS output start Proof % 4.63/4.83 ( % 4.63/4.83 (declare-sort $$unsorted 0) % 4.63/4.83 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.function (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.finite (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.connected (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.empty_set $$unsorted) % 4.63/4.83 (declare-const tptp.empty (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.natural (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.relation (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.transitive (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.omega $$unsorted) % 4.63/4.83 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 4.63/4.83 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 4.63/4.83 (declare-const tptp.top_str (-> $$unsorted Bool)) % 4.63/4.83 (define @t1 () (@var "A" $$unsorted)) % 4.63/4.83 (define @t2 () (@var "B" $$unsorted)) % 4.63/4.83 (define @t3 () (tptp.in @t2 @t1)) % 4.63/4.83 (define @t4 () (not @t3)) % 4.63/4.83 (define @t5 () (tptp.in @t1 @t2)) % 4.63/4.83 (define @t6 () (@list @t1 @t2)) % 4.63/4.83 (define @t7 () (tptp.proper_subset @t2 @t1)) % 4.63/4.83 (define @t8 () (tptp.proper_subset @t1 @t2)) % 4.63/4.83 (define @t9 () (tptp.v1_xcmplx_0 @t2)) % 4.63/4.83 (define @t10 () (tptp.element @t2 @t1)) % 4.63/4.83 (define @t11 () (@list @t2)) % 4.63/4.83 (define @t12 () (tptp.v1_membered @t1)) % 4.63/4.83 (define @t13 () (@list @t1)) % 4.63/4.83 (define @t14 () (tptp.v1_xreal_0 @t2)) % 4.63/4.83 (define @t15 () (tptp.v2_membered @t1)) % 4.63/4.83 (define @t16 () (tptp.v1_rat_1 @t2)) % 4.63/4.83 (define @t17 () (tptp.v3_membered @t1)) % 4.63/4.83 (define @t18 () (tptp.v1_int_1 @t2)) % 4.63/4.83 (define @t19 () (tptp.v4_membered @t1)) % 4.63/4.83 (define @t20 () (tptp.natural @t2)) % 4.63/4.83 (define @t21 () (tptp.v5_membered @t1)) % 4.63/4.83 (define @t22 () (tptp.empty @t1)) % 4.63/4.83 (define @t23 () (tptp.v1_membered @t2)) % 4.63/4.83 (define @t24 () (tptp.powerset @t1)) % 4.63/4.83 (define @t25 () (tptp.element @t2 @t24)) % 4.63/4.83 (define @t26 () (tptp.v2_membered @t2)) % 4.63/4.83 (define @t27 () (tptp.v3_membered @t2)) % 4.63/4.83 (define @t28 () (tptp.v4_membered @t2)) % 4.63/4.83 (define @t29 () (tptp.ordinal @t2)) % 4.63/4.83 (define @t30 () (tptp.epsilon_connected @t2)) % 4.63/4.83 (define @t31 () (tptp.epsilon_transitive @t2)) % 4.63/4.83 (define @t32 () (tptp.ordinal @t1)) % 4.63/4.83 (define @t33 () (tptp.finite @t1)) % 4.63/4.83 (define @t34 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 4.63/4.83 (define @t35 () (tptp.preboolean @t1)) % 4.63/4.83 (define @t36 () (tptp.function @t1)) % 4.63/4.83 (define @t37 () (tptp.epsilon_connected @t1)) % 4.63/4.83 (define @t38 () (tptp.epsilon_transitive @t1)) % 4.63/4.83 (define @t39 () (and @t38 @t37)) % 4.63/4.83 (define @t40 () (tptp.relation @t1)) % 4.63/4.83 (define @t41 () (@var "C" $$unsorted)) % 4.63/4.83 (define @t42 () (tptp.relation @t41)) % 4.63/4.83 (define @t43 () (tptp.cartesian_product2 @t1 @t2)) % 4.63/4.83 (define @t44 () (tptp.element @t41 (tptp.powerset @t43))) % 4.63/4.83 (define @t45 () (@list @t1 @t2 @t41)) % 4.63/4.83 (define @t46 () (tptp.natural @t1)) % 4.63/4.83 (define @t47 () (and @t38 @t37 @t32 @t46)) % 4.63/4.83 (define @t48 () (tptp.finite @t2)) % 4.63/4.83 (define @t49 () (tptp.one_to_one @t1)) % 4.63/4.83 (define @t50 () (and @t40 @t36 @t49)) % 4.63/4.83 (define @t51 () (and @t40 @t22 @t36)) % 4.63/4.83 (define @t52 () (and @t38 @t37 @t32)) % 4.63/4.83 (define @t53 () (tptp.unordered_pair @t1 @t2)) % 4.63/4.83 (define @t54 () (tptp.set_union2 @t2 @t1)) % 4.63/4.83 (define @t55 () (tptp.set_union2 @t1 @t2)) % 4.63/4.83 (define @t56 () (tptp.join_commut @t1 @t2 @t41)) % 4.63/4.83 (define @t57 () (tptp.the_carrier @t1)) % 4.63/4.83 (define @t58 () (tptp.element @t41 @t57)) % 4.63/4.83 (define @t59 () (tptp.element @t2 @t57)) % 4.63/4.83 (define @t60 () (tptp.join_semilatt_str @t1)) % 4.63/4.83 (define @t61 () (tptp.join_commutative @t1)) % 4.63/4.83 (define @t62 () (tptp.empty_carrier @t1)) % 4.63/4.83 (define @t63 () (not @t62)) % 4.63/4.83 (define @t64 () (and @t63 @t61 @t60 @t59 @t58)) % 4.63/4.83 (define @t65 () (tptp.set_intersection2 @t2 @t1)) % 4.63/4.83 (define @t66 () (tptp.set_intersection2 @t1 @t2)) % 4.63/4.83 (define @t67 () (tptp.meet_commut @t1 @t2 @t41)) % 4.63/4.83 (define @t68 () (tptp.meet_semilatt_str @t1)) % 4.63/4.83 (define @t69 () (tptp.meet_commutative @t1)) % 4.63/4.83 (define @t70 () (and @t63 @t69 @t68 @t59 @t58)) % 4.63/4.83 (define @t71 () (tptp.subset_intersection2 @t1 @t2 @t41)) % 4.63/4.83 (define @t72 () (tptp.element @t41 @t24)) % 4.63/4.83 (define @t73 () (and @t25 @t72)) % 4.63/4.83 (define @t74 () (tptp.ordinal_subset @t1 @t2)) % 4.63/4.83 (define @t75 () (and @t32 @t29)) % 4.63/4.83 (define @t76 () (@var "D" $$unsorted)) % 4.63/4.83 (define @t77 () (= @t41 @t76)) % 4.63/4.83 (define @t78 () (tptp.in @t41 @t1)) % 4.63/4.83 (define @t79 () (tptp.ordered_pair @t41 @t76)) % 4.63/4.83 (define @t80 () (tptp.in @t79 @t2)) % 4.63/4.83 (define @t81 () (@list @t41 @t76)) % 4.63/4.83 (define @t82 () (tptp.identity_relation @t1)) % 4.63/4.83 (define @t83 () (= @t2 @t82)) % 4.63/4.83 (define @t84 () (tptp.relation @t2)) % 4.63/4.83 (define @t85 () (tptp.subset @t2 @t1)) % 4.63/4.83 (define @t86 () (tptp.subset @t1 @t2)) % 4.63/4.83 (define @t87 () (= @t1 @t2)) % 4.63/4.83 (define @t88 () (@var "E" $$unsorted)) % 4.63/4.83 (define @t89 () (tptp.ordered_pair @t76 @t88)) % 4.63/4.83 (define @t90 () (tptp.in @t89 @t1)) % 4.63/4.83 (define @t91 () (tptp.in @t76 @t2)) % 4.63/4.83 (define @t92 () (tptp.in @t89 @t41)) % 4.63/4.83 (define @t93 () (@list @t76 @t88)) % 4.63/4.83 (define @t94 () (tptp.relation_dom_restriction @t1 @t2)) % 4.63/4.83 (define @t95 () (@list @t2 @t41)) % 4.63/4.83 (define @t96 () (tptp.in @t88 @t2)) % 4.63/4.83 (define @t97 () (tptp.relation_dom @t1)) % 4.63/4.83 (define @t98 () (@list @t88)) % 4.63/4.83 (define @t99 () (tptp.in @t76 @t41)) % 4.63/4.83 (define @t100 () (@list @t76)) % 4.63/4.83 (define @t101 () (tptp.relation_image @t1 @t2)) % 4.63/4.83 (define @t102 () (= @t41 @t101)) % 4.63/4.83 (define @t103 () (and @t40 @t36)) % 4.63/4.83 (define @t104 () (tptp.in @t88 @t1)) % 4.63/4.83 (define @t105 () (tptp.relation_rng_restriction @t1 @t2)) % 4.63/4.83 (define @t106 () (@list @t41)) % 4.63/4.83 (define @t107 () (tptp.relation_field @t1)) % 4.63/4.83 (define @t108 () (tptp.antisymmetric @t1)) % 4.63/4.83 (define @t109 () (tptp.apply @t1 @t76)) % 4.63/4.83 (define @t110 () (tptp.in @t76 @t97)) % 4.63/4.83 (define @t111 () (= @t41 (tptp.relation_inverse_image @t1 @t2))) % 4.63/4.83 (define @t112 () (tptp.powerset @t57)) % 4.63/4.83 (define @t113 () (tptp.element @t88 @t112)) % 4.63/4.83 (define @t114 () (tptp.topstr_closure @t1 @t2)) % 4.63/4.83 (define @t115 () (tptp.element @t41 @t112)) % 4.63/4.83 (define @t116 () (tptp.element @t2 @t112)) % 4.63/4.83 (define @t117 () (tptp.top_str @t1)) % 4.63/4.83 (define @t118 () (tptp.ordered_pair @t88 @t76)) % 4.63/4.83 (define @t119 () (tptp.connected @t1)) % 4.63/4.83 (define @t120 () (tptp.transitive @t1)) % 4.63/4.83 (define @t121 () (tptp.in @t88 @t76)) % 4.63/4.83 (define @t122 () (@list @t1 @t2 @t41 @t76)) % 4.63/4.83 (define @t123 () (tptp.relation_dom @t2)) % 4.63/4.83 (define @t124 () (tptp.relation_rng @t2)) % 4.63/4.83 (define @t125 () (tptp.function @t2)) % 4.63/4.83 (define @t126 () (tptp.in (tptp.ordered_pair @t2 @t76) @t1)) % 4.63/4.83 (define @t127 () (tptp.ordered_pair @t2 @t41)) % 4.63/4.83 (define @t128 () (tptp.in @t127 @t1)) % 4.63/4.83 (define @t129 () (@list @t2 @t41 @t76)) % 4.63/4.83 (define @t130 () (= @t41 tptp.empty_set)) % 4.63/4.83 (define @t131 () (tptp.quasi_total @t41 @t1 @t2)) % 4.63/4.83 (define @t132 () (= @t1 tptp.empty_set)) % 4.63/4.83 (define @t133 () (= @t2 tptp.empty_set)) % 4.63/4.83 (define @t134 () (tptp.relation_dom_as_subset @t1 @t2 @t41)) % 4.63/4.83 (define @t135 () (tptp.relation_of2_as_subset @t41 @t1 @t2)) % 4.63/4.83 (define @t136 () (tptp.the_L_join @t1)) % 4.63/4.83 (define @t137 () (tptp.join @t1 @t2 @t41)) % 4.63/4.83 (define @t138 () (and @t63 @t60)) % 4.63/4.83 (define @t139 () (= @t2 @t41)) % 4.63/4.83 (define @t140 () (= @t1 @t79)) % 4.63/4.83 (define @t141 () (exists @t95 (= @t1 @t127))) % 4.63/4.83 (define @t142 () (tptp.singleton @t1)) % 4.63/4.83 (define @t143 () (tptp.succ @t1)) % 4.63/4.83 (define @t144 () (tptp.the_topology @t1)) % 4.63/4.83 (define @t145 () (tptp.in @t2 @t144)) % 4.63/4.83 (define @t146 () (tptp.powerset @t112)) % 4.63/4.83 (define @t147 () (tptp.element @t2 @t146)) % 4.63/4.83 (define @t148 () (tptp.topological_space @t1)) % 4.63/4.83 (define @t149 () (tptp.in @t41 @t2)) % 4.63/4.83 (define @t150 () (tptp.is_reflexive_in @t1 @t2)) % 4.63/4.83 (define @t151 () (tptp.relation_of2 @t41 @t1 @t2)) % 4.63/4.83 (define @t152 () (= @t2 (tptp.set_meet @t1))) % 4.63/4.83 (define @t153 () (tptp.in @t41 @t76)) % 4.63/4.83 (define @t154 () (tptp.in @t76 @t1)) % 4.63/4.83 (define @t155 () (not @t132)) % 4.63/4.83 (define @t156 () (tptp.empty @t57)) % 4.63/4.83 (define @t157 () (tptp.one_sorted_str @t1)) % 4.63/4.83 (define @t158 () (tptp.subset_complement @t57 @t2)) % 4.63/4.83 (define @t159 () (tptp.interior @t1 @t2)) % 4.63/4.83 (define @t160 () (= @t159 (tptp.subset_complement @t57 (tptp.topstr_closure @t1 @t158)))) % 4.63/4.83 (define @t161 () (forall @t11 (=> @t116 @t160))) % 4.63/4.83 (define @t162 () (=> @t117 @t161)) % 4.63/4.83 (define @t163 () (forall @t13 @t162)) % 4.63/4.83 (define @t164 () (= @t76 @t2)) % 4.63/4.83 (define @t165 () (tptp.subset @t41 @t76)) % 4.63/4.83 (define @t166 () (tptp.relation_field @t2)) % 4.63/4.83 (define @t167 () (tptp.inclusion_relation @t1)) % 4.63/4.83 (define @t168 () (tptp.the_L_meet @t1)) % 4.63/4.83 (define @t169 () (tptp.meet @t1 @t2 @t41)) % 4.63/4.83 (define @t170 () (= @t2 @t76)) % 4.63/4.83 (define @t171 () (tptp.empty_carrier_subset @t1)) % 4.63/4.83 (define @t172 () (tptp.in @t79 @t1)) % 4.63/4.83 (define @t173 () (tptp.empty @t2)) % 4.63/4.83 (define @t174 () (not @t22)) % 4.63/4.83 (define @t175 () (not @t133)) % 4.63/4.83 (define @t176 () (tptp.well_founded_relation @t1)) % 4.63/4.83 (define @t177 () (@var "F" $$unsorted)) % 4.63/4.83 (define @t178 () (tptp.ordered_pair @t88 @t177)) % 4.63/4.83 (define @t179 () (tptp.in @t177 @t2)) % 4.63/4.83 (define @t180 () (@list @t88 @t177)) % 4.63/4.83 (define @t181 () (tptp.below @t1 @t2 @t41)) % 4.63/4.83 (define @t182 () (not @t149)) % 4.63/4.83 (define @t183 () (not @t139)) % 4.63/4.83 (define @t184 () (tptp.in @t2 @t41)) % 4.63/4.83 (define @t185 () (tptp.cast_as_carrier_subset @t1)) % 4.63/4.83 (define @t186 () (=> @t157 (= @t185 @t57))) % 4.63/4.83 (define @t187 () (forall @t13 @t186)) % 4.63/4.83 (define @t188 () (forall @t106 (=> @t78 @t149))) % 4.63/4.83 (define @t189 () (not @t130)) % 4.63/4.83 (define @t190 () (tptp.subset @t41 @t2)) % 4.63/4.83 (define @t191 () (tptp.is_well_founded_in @t1 @t2)) % 4.63/4.83 (define @t192 () (tptp.apply @t1 @t2)) % 4.63/4.83 (define @t193 () (= @t41 @t192)) % 4.63/4.83 (define @t194 () (tptp.in @t2 @t97)) % 4.63/4.83 (define @t195 () (tptp.in (tptp.ordered_pair @t76 @t41) @t1)) % 4.63/4.83 (define @t196 () (tptp.is_antisymmetric_in @t1 @t2)) % 4.63/4.83 (define @t197 () (tptp.cast_to_subset @t1)) % 4.63/4.83 (define @t198 () (tptp.union @t1)) % 4.63/4.83 (define @t199 () (tptp.reflexive @t1)) % 4.63/4.83 (define @t200 () (tptp.well_ordering @t1)) % 4.63/4.83 (define @t201 () (tptp.relation_rng @t41)) % 4.63/4.83 (define @t202 () (tptp.relation_dom @t41)) % 4.63/4.83 (define @t203 () (= @t202 @t1)) % 4.63/4.83 (define @t204 () (tptp.one_to_one @t41)) % 4.63/4.83 (define @t205 () (tptp.function @t41)) % 4.63/4.83 (define @t206 () (tptp.equipotent @t1 @t2)) % 4.63/4.83 (define @t207 () (tptp.set_difference @t1 @t2)) % 4.63/4.83 (define @t208 () (and @t110 (= @t41 @t109))) % 4.63/4.83 (define @t209 () (tptp.relation_rng @t1)) % 4.63/4.83 (define @t210 () (= @t2 @t209)) % 4.63/4.83 (define @t211 () (tptp.being_limit_ordinal @t1)) % 4.63/4.83 (define @t212 () (tptp.open_subset @t2 @t1)) % 4.63/4.83 (define @t213 () (tptp.subset_complement @t1 @t2)) % 4.63/4.83 (define @t214 () (=> @t25 (= @t213 @t207))) % 4.63/4.83 (define @t215 () (forall @t6 @t214)) % 4.63/4.83 (define @t216 () (tptp.ordered_pair @t1 @t2)) % 4.63/4.83 (define @t217 () (tptp.is_connected_in @t1 @t2)) % 4.63/4.83 (define @t218 () (tptp.is_transitive_in @t1 @t2)) % 4.63/4.83 (define @t219 () (tptp.subset_difference @t57 @t185 @t2)) % 4.63/4.83 (define @t220 () (tptp.closed_subset @t2 @t1)) % 4.63/4.83 (define @t221 () (tptp.cartesian_product2 @t2 @t2)) % 4.63/4.83 (define @t222 () (tptp.relation_restriction @t1 @t2)) % 4.63/4.83 (define @t223 () (tptp.relation_inverse @t1)) % 4.63/4.83 (define @t224 () (tptp.apply @t41 @t88)) % 4.63/4.83 (define @t225 () (tptp.apply @t41 @t76)) % 4.63/4.83 (define @t226 () (tptp.relation_isomorphism @t1 @t2 @t41)) % 4.63/4.83 (define @t227 () (and @t42 @t205)) % 4.63/4.83 (define @t228 () (tptp.disjoint @t1 @t2)) % 4.63/4.83 (define @t229 () (tptp.meet_absorbing @t1)) % 4.63/4.83 (define @t230 () (tptp.latt_str @t1)) % 4.63/4.83 (define @t231 () (@list @t177)) % 4.63/4.83 (define @t232 () (tptp.relation_composition @t1 @t2)) % 4.63/4.83 (define @t233 () (@list @t41 @t76 @t88)) % 4.63/4.83 (define @t234 () (tptp.complements_of_subsets @t1 @t2)) % 4.63/4.83 (define @t235 () (tptp.powerset @t24)) % 4.63/4.83 (define @t236 () (tptp.element @t2 @t235)) % 4.63/4.83 (define @t237 () (not @t87)) % 4.63/4.83 (define @t238 () (tptp.function_inverse @t1)) % 4.63/4.83 (define @t239 () (and @t117 @t116)) % 4.63/4.83 (define @t240 () (tptp.apply_binary_as_element @t1 @t2 @t41 @t76 @t88 @t177)) % 4.63/4.83 (define @t241 () (tptp.function @t76)) % 4.63/4.83 (define @t242 () (not @t173)) % 4.63/4.83 (define @t243 () (and @t174 @t242 @t241 (tptp.quasi_total @t76 @t43 @t41) (tptp.relation_of2 @t76 @t43 @t41) (tptp.element @t88 @t1) (tptp.element @t177 @t2))) % 4.63/4.83 (define @t244 () (@list @t1 @t2 @t41 @t76 @t88 @t177)) % 4.63/4.83 (define @t245 () (tptp.element @t213 @t24)) % 4.63/4.83 (define @t246 () (forall @t6 (=> @t25 @t245))) % 4.63/4.83 (define @t247 () (tptp.relation @t223)) % 4.63/4.83 (define @t248 () (tptp.relation @t232)) % 4.63/4.83 (define @t249 () (and @t40 @t84)) % 4.63/4.83 (define @t250 () (tptp.powerset @t2)) % 4.63/4.83 (define @t251 () (tptp.relation_rng_as_subset @t1 @t2 @t41)) % 4.63/4.83 (define @t252 () (tptp.union_of_subsets @t1 @t2)) % 4.63/4.83 (define @t253 () (tptp.element @t114 @t112)) % 4.63/4.83 (define @t254 () (forall @t6 (=> @t239 @t253))) % 4.63/4.83 (define @t255 () (tptp.relation @t82)) % 4.63/4.83 (define @t256 () (tptp.meet_of_subsets @t1 @t2)) % 4.63/4.83 (define @t257 () (tptp.subset_difference @t1 @t2 @t41)) % 4.63/4.83 (define @t258 () (tptp.relation @t94)) % 4.63/4.83 (define @t259 () (tptp.relation @t105)) % 4.63/4.83 (define @t260 () (forall @t13 (=> @t117 @t157))) % 4.63/4.83 (define @t261 () (tptp.cartesian_product2 @t57 @t57)) % 4.63/4.83 (define @t262 () (tptp.finite @t66)) % 4.63/4.83 (define @t263 () (tptp.relation_composition @t2 @t1)) % 4.63/4.83 (define @t264 () (and @t22 @t84)) % 4.63/4.83 (define @t265 () (tptp.relation_empty_yielding tptp.empty_set)) % 4.63/4.83 (define @t266 () (tptp.relation tptp.empty_set)) % 4.63/4.83 (define @t267 () (tptp.empty tptp.empty_set)) % 4.63/4.83 (define @t268 () (tptp.relation_empty_yielding @t1)) % 4.63/4.83 (define @t269 () (and @t40 @t268)) % 4.63/4.83 (define @t270 () (not (tptp.empty @t142))) % 4.63/4.83 (define @t271 () (not (tptp.empty @t24))) % 4.63/4.83 (define @t272 () (not (tptp.empty @t143))) % 4.63/4.83 (define @t273 () (and @t63 @t157)) % 4.63/4.83 (define @t274 () (tptp.v1_membered @t66)) % 4.63/4.83 (define @t275 () (tptp.v1_membered @t65)) % 4.63/4.83 (define @t276 () (tptp.v2_membered @t66)) % 4.63/4.83 (define @t277 () (tptp.ordinal @t143)) % 4.63/4.83 (define @t278 () (tptp.epsilon_connected @t143)) % 4.63/4.83 (define @t279 () (tptp.epsilon_transitive @t143)) % 4.63/4.83 (define @t280 () (and @t148 @t117 @t116)) % 4.63/4.83 (define @t281 () (tptp.v2_membered @t65)) % 4.63/4.83 (define @t282 () (tptp.v3_membered @t66)) % 4.63/4.83 (define @t283 () (tptp.v3_membered @t65)) % 4.63/4.83 (define @t284 () (tptp.v4_membered @t66)) % 4.63/4.83 (define @t285 () (tptp.v4_membered @t65)) % 4.63/4.83 (define @t286 () (tptp.v1_membered @t207)) % 4.63/4.83 (define @t287 () (tptp.v2_membered @t207)) % 4.63/4.83 (define @t288 () (tptp.v3_membered @t207)) % 4.63/4.83 (define @t289 () (tptp.open_subset @t158 @t1)) % 4.63/4.83 (define @t290 () (tptp.v4_membered @t207)) % 4.63/4.83 (define @t291 () (tptp.closed_subset @t158 @t1)) % 4.63/4.83 (define @t292 () (and @t84 @t125)) % 4.63/4.83 (define @t293 () (and @t148 @t117)) % 4.63/4.83 (define @t294 () (tptp.empty @t97)) % 4.63/4.83 (define @t295 () (and @t174 @t40)) % 4.63/4.83 (define @t296 () (tptp.empty @t209)) % 4.63/4.83 (define @t297 () (tptp.open_subset @t159 @t1)) % 4.63/4.83 (define @t298 () (forall @t6 (=> @t280 @t297))) % 4.63/4.83 (define @t299 () (tptp.subset_complement @t1 @t213)) % 4.63/4.83 (define @t300 () (=> @t25 (= @t299 @t2))) % 4.63/4.83 (define @t301 () (forall @t6 @t300)) % 4.63/4.83 (define @t302 () (tptp.in @t2 @t107)) % 4.63/4.83 (define @t303 () (tptp.disjoint @t142 @t2)) % 4.63/4.83 (define @t304 () (not @t5)) % 4.63/4.83 (define @t305 () (tptp.well_ordering @t2)) % 4.63/4.83 (define @t306 () (tptp.in (tptp.ordered_pair @t41 @t2) @t1)) % 4.63/4.83 (define @t307 () (tptp.singleton @t41)) % 4.63/4.83 (define @t308 () (not @t128)) % 4.63/4.83 (define @t309 () (tptp.singleton @t2)) % 4.63/4.83 (define @t310 () (tptp.union @t2)) % 4.63/4.83 (define @t311 () (tptp.in @t1 @t41)) % 4.63/4.83 (define @t312 () (tptp.element @t1 @t250)) % 4.63/4.83 (define @t313 () (tptp.relation_dom_restriction @t41 @t1)) % 4.63/4.83 (define @t314 () (tptp.in @t2 (tptp.relation_dom @t313))) % 4.63/4.83 (define @t315 () (tptp.one_to_one @t2)) % 4.63/4.83 (define @t316 () (tptp.set_intersection2 @t2 @t41)) % 4.63/4.83 (define @t317 () (tptp.set_difference @t2 @t41)) % 4.63/4.83 (define @t318 () (@var "K" $$unsorted)) % 4.63/4.83 (define @t319 () (@var "J" $$unsorted)) % 4.63/4.83 (define @t320 () (tptp.in @t318 @t319)) % 4.63/4.83 (define @t321 () (@list @t318)) % 4.63/4.83 (define @t322 () (@list @t319)) % 4.63/4.83 (define @t323 () (= @t76 @t88)) % 4.63/4.83 (define @t324 () (@var "I" $$unsorted)) % 4.63/4.83 (define @t325 () (@var "H" $$unsorted)) % 4.63/4.83 (define @t326 () (tptp.in @t324 @t325)) % 4.63/4.83 (define @t327 () (@list @t324)) % 4.63/4.83 (define @t328 () (@list @t325)) % 4.63/4.83 (define @t329 () (exists @t328 (and (= @t41 @t325) (tptp.in @t88 @t325) (forall @t327 (=> @t326 (tptp.in (tptp.ordered_pair @t88 @t324) @t2)))))) % 4.63/4.83 (define @t330 () (@var "G" $$unsorted)) % 4.63/4.83 (define @t331 () (tptp.in @t330 @t177)) % 4.63/4.83 (define @t332 () (@list @t330)) % 4.63/4.83 (define @t333 () (exists @t231 (and (= @t41 @t177) (tptp.in @t76 @t177) (forall @t332 (=> @t331 (tptp.in (tptp.ordered_pair @t76 @t330) @t2)))))) % 4.63/4.83 (define @t334 () (forall @t233 (=> (and @t78 @t333 @t78 @t329) @t323))) % 4.63/4.83 (define @t335 () (and @t174 @t84)) % 4.63/4.83 (define @t336 () (= @t76 @t309)) % 4.63/4.83 (define @t337 () (= @t41 @t309)) % 4.63/4.83 (define @t338 () (forall @t129 (=> (and @t3 @t337 @t3 @t336) @t77))) % 4.63/4.83 (define @t339 () (tptp.ordinal @t41)) % 4.63/4.83 (define @t340 () (@var "S" $$unsorted)) % 4.63/4.83 (define @t341 () (@var "T" $$unsorted)) % 4.63/4.83 (define @t342 () (@var "R" $$unsorted)) % 4.63/4.83 (define @t343 () (tptp.powerset (tptp.powerset @t76))) % 4.63/4.83 (define @t344 () (@list @t342)) % 4.63/4.83 (define @t345 () (tptp.in @t76 tptp.omega)) % 4.63/4.83 (define @t346 () (tptp.ordinal @t76)) % 4.63/4.83 (define @t347 () (@var "P" $$unsorted)) % 4.63/4.83 (define @t348 () (@var "Q" $$unsorted)) % 4.63/4.83 (define @t349 () (@var "O" $$unsorted)) % 4.63/4.83 (define @t350 () (@list @t348)) % 4.63/4.83 (define @t351 () (@list @t347)) % 4.63/4.83 (define @t352 () (@list @t349)) % 4.63/4.83 (define @t353 () (@var "M" $$unsorted)) % 4.63/4.83 (define @t354 () (@var "N" $$unsorted)) % 4.63/4.83 (define @t355 () (@var "L" $$unsorted)) % 4.63/4.83 (define @t356 () (@list @t354)) % 4.63/4.83 (define @t357 () (tptp.in @t353 @t355)) % 4.63/4.83 (define @t358 () (@list @t353)) % 4.63/4.83 (define @t359 () (@list @t355)) % 4.63/4.83 (define @t360 () (tptp.succ @t76)) % 4.63/4.83 (define @t361 () (=> @t345 (forall @t98 (=> (tptp.element @t88 @t343) (not (and (not (= @t88 tptp.empty_set)) (forall @t231 (not (and (tptp.in @t177 @t88) (forall @t332 (=> (and (tptp.in @t330 @t88) (tptp.subset @t177 @t330)) (= @t330 @t177)))))))))))) % 4.63/4.83 (define @t362 () (tptp.subset @t2 @t41)) % 4.63/4.83 (define @t363 () (tptp.powerset tptp.empty_set)) % 4.63/4.83 (define @t364 () (tptp.apply @t41 @t177)) % 4.63/4.83 (define @t365 () (tptp.in @t177 @t1)) % 4.63/4.83 (define @t366 () (tptp.relation @t76)) % 4.63/4.83 (define @t367 () (and @t84 @t42 @t205)) % 4.63/4.83 (define @t368 () (forall @t321 (=> @t320 (tptp.in (tptp.ordered_pair @t76 @t318) @t2)))) % 4.63/4.83 (define @t369 () (tptp.in @t76 @t319)) % 4.63/4.83 (define @t370 () (= @t177 @t88)) % 4.63/4.83 (define @t371 () (tptp.cartesian_product2 @t1 @t41)) % 4.63/4.83 (define @t372 () (= @t88 @t177)) % 4.63/4.83 (define @t373 () (tptp.ordered_pair @t318 @t355)) % 4.63/4.83 (define @t374 () (@list @t318 @t355)) % 4.63/4.83 (define @t375 () (= @t76 @t177)) % 4.63/4.83 (define @t376 () (tptp.in @t319 @t324)) % 4.63/4.83 (define @t377 () (tptp.in @t330 @t1)) % 4.63/4.83 (define @t378 () (tptp.ordered_pair @t330 @t325)) % 4.63/4.83 (define @t379 () (@list @t330 @t325)) % 4.63/4.83 (define @t380 () (@list @t76 @t88 @t177)) % 4.63/4.83 (define @t381 () (= @t88 @t76)) % 4.63/4.83 (define @t382 () (tptp.in @t325 @t1)) % 4.63/4.83 (define @t383 () (= @t41 @t88)) % 4.63/4.83 (define @t384 () (tptp.ordered_pair @t177 @t330)) % 4.63/4.83 (define @t385 () (@list @t177 @t330)) % 4.63/4.83 (define @t386 () (= @t76 @t41)) % 4.63/4.83 (define @t387 () (not (and (not (= @t177 tptp.empty_set)) (forall @t332 (not (and @t331 (forall @t328 (=> (and (tptp.in @t325 @t177) (tptp.subset @t330 @t325)) (= @t325 @t330))))))))) % 4.63/4.83 (define @t388 () (tptp.ordinal @t88)) % 4.63/4.83 (define @t389 () (tptp.subset @t2 @t76)) % 4.63/4.83 (define @t390 () (tptp.in @t88 @t112)) % 4.63/4.83 (define @t391 () (tptp.in (tptp.set_difference @t185 @t76) @t2)) % 4.63/4.83 (define @t392 () (and @t148 @t117 @t147)) % 4.63/4.83 (define @t393 () (and @t32 (tptp.element @t2 (tptp.powerset (tptp.powerset @t143))))) % 4.63/4.83 (define @t394 () (tptp.cartesian_product2 @t1 @t1)) % 4.63/4.83 (define @t395 () (tptp.apply @t41 @t330)) % 4.63/4.83 (define @t396 () (tptp.in (tptp.relation_image @t41 @t88) @t2)) % 4.63/4.83 (define @t397 () (tptp.powerset @t202)) % 4.63/4.83 (define @t398 () (and @t236 @t42 @t205)) % 4.63/4.83 (define @t399 () (tptp.succ @t2)) % 4.63/4.83 (define @t400 () (exists @t98 (and @t113 @t381 (tptp.closed_subset @t88 @t1) @t389))) % 4.63/4.83 (define @t401 () (tptp.in @t76 @t112)) % 4.63/4.83 (define @t402 () (tptp.apply @t2 @t41)) % 4.63/4.83 (define @t403 () (= @t123 @t1)) % 4.63/4.83 (define @t404 () (exists @t11 (and @t84 @t125 @t403 (forall @t106 (=> @t78 (= @t402 @t307)))))) % 4.63/4.83 (define @t405 () (tptp.in @t1 tptp.omega)) % 4.63/4.83 (define @t406 () (tptp.element @t76 @t112)) % 4.63/4.83 (define @t407 () (tptp.element @t41 @t146)) % 4.63/4.83 (define @t408 () (= @t1 @t41)) % 4.63/4.83 (define @t409 () (tptp.relation_rng @t105)) % 4.63/4.83 (define @t410 () (forall @t106 (not (and @t190 (not (tptp.are_equipotent @t41 @t2)) @t182)))) % 4.63/4.83 (define @t411 () (tptp.powerset @t41)) % 4.63/4.83 (define @t412 () (forall @t81 (=> (and @t149 (tptp.subset @t76 @t41)) @t91))) % 4.63/4.83 (define @t413 () (tptp.relation_dom_restriction @t41 @t2)) % 4.63/4.83 (define @t414 () (tptp.relation_image @t2 @t1)) % 4.63/4.83 (define @t415 () (tptp.relation_inverse_image @t2 @t1)) % 4.63/4.83 (define @t416 () (tptp.relation_image @t2 @t415)) % 4.63/4.83 (define @t417 () (tptp.set_intersection2 @t123 @t1)) % 4.63/4.83 (define @t418 () (tptp.subset @t1 @t124)) % 4.63/4.83 (define @t419 () (tptp.relation_of2_as_subset @t76 @t41 @t2)) % 4.63/4.83 (define @t420 () (tptp.relation_rng @t76)) % 4.63/4.83 (define @t421 () (tptp.relation_of2_as_subset @t76 @t41 @t1)) % 4.63/4.83 (define @t422 () (tptp.relation_rng @t232)) % 4.63/4.83 (define @t423 () (tptp.relation_inverse_image @t41 @t2)) % 4.63/4.83 (define @t424 () (tptp.relation_restriction @t41 @t2)) % 4.63/4.83 (define @t425 () (= @t158 @t219)) % 4.63/4.83 (define @t426 () (forall @t11 (=> @t116 @t425))) % 4.63/4.83 (define @t427 () (=> @t157 @t426)) % 4.63/4.83 (define @t428 () (forall @t13 @t427)) % 4.63/4.83 (define @t429 () (tptp.relation_restriction @t2 @t1)) % 4.63/4.83 (define @t430 () (tptp.relation_dom_restriction @t2 @t1)) % 4.63/4.83 (define @t431 () (tptp.relation_field @t41)) % 4.63/4.83 (define @t432 () (tptp.in @t1 @t431)) % 4.63/4.83 (define @t433 () (tptp.subset @t1 @t41)) % 4.63/4.83 (define @t434 () (tptp.element @t1 @t2)) % 4.63/4.83 (define @t435 () (tptp.in @t1 @t202)) % 4.63/4.83 (define @t436 () (tptp.in @t216 @t41)) % 4.63/4.83 (define @t437 () (tptp.relation_field @t429)) % 4.63/4.83 (define @t438 () (tptp.apply @t41 @t1)) % 4.63/4.83 (define @t439 () (tptp.relation_composition @t41 @t2)) % 4.63/4.83 (define @t440 () (tptp.in @t1 (tptp.relation_dom @t439))) % 4.63/4.83 (define @t441 () (tptp.apply @t76 @t41)) % 4.63/4.83 (define @t442 () (and @t241 (tptp.quasi_total @t76 @t1 @t2) (tptp.relation_of2_as_subset @t76 @t1 @t2))) % 4.63/4.83 (define @t443 () (tptp.reflexive @t2)) % 4.63/4.83 (define @t444 () (tptp.connected @t2)) % 4.63/4.83 (define @t445 () (tptp.transitive @t2)) % 4.63/4.83 (define @t446 () (tptp.antisymmetric @t2)) % 4.63/4.83 (define @t447 () (tptp.well_ordering @t429)) % 4.63/4.83 (define @t448 () (= @t437 @t1)) % 4.63/4.83 (define @t449 () (tptp.well_orders @t2 @t1)) % 4.63/4.83 (define @t450 () (= @t212 @t291)) % 4.63/4.83 (define @t451 () (forall @t11 (=> @t116 @t450))) % 4.63/4.83 (define @t452 () (=> @t117 @t451)) % 4.63/4.83 (define @t453 () (forall @t13 @t452)) % 4.63/4.83 (define @t454 () (tptp.well_founded_relation @t2)) % 4.63/4.83 (define @t455 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 4.63/4.83 (define @t456 () (and @t78 @t149)) % 4.63/4.83 (define @t457 () (not @t228)) % 4.63/4.83 (define @t458 () (= @t1 @t399)) % 4.63/4.83 (define @t459 () (tptp.subset_complement @t1 @t41)) % 4.63/4.83 (define @t460 () (tptp.disjoint @t2 @t41)) % 4.63/4.83 (define @t461 () (tptp.relation_dom @t232)) % 4.63/4.83 (define @t462 () (and (tptp.closed_subset @t76 @t1) @t389)) % 4.63/4.83 (define @t463 () (tptp.element @t2 @t411)) % 4.63/4.83 (define @t464 () (tptp.in @t41 @t66)) % 4.63/4.83 (define @t465 () (= @t114 @t2)) % 4.63/4.83 (define @t466 () (and @t148 @t465)) % 4.63/4.83 (define @t467 () (=> @t466 @t220)) % 4.63/4.83 (define @t468 () (=> @t220 @t465)) % 4.63/4.83 (define @t469 () (and @t468 @t467)) % 4.63/4.83 (define @t470 () (=> @t116 @t469)) % 4.63/4.83 (define @t471 () (forall @t11 @t470)) % 4.63/4.83 (define @t472 () (=> @t117 @t471)) % 4.63/4.83 (define @t473 () (forall @t13 @t472)) % 4.63/4.83 (define @t474 () (and (tptp.in @t41 @t209) (= @t76 @t402))) % 4.63/4.83 (define @t475 () (tptp.open_subset @t41 @t1)) % 4.63/4.83 (define @t476 () (tptp.interior @t1 @t41)) % 4.63/4.83 (define @t477 () (=> (= @t476 @t41) @t475)) % 4.63/4.83 (define @t478 () (tptp.interior @t2 @t76)) % 4.63/4.83 (define @t479 () (tptp.open_subset @t76 @t2)) % 4.63/4.83 (define @t480 () (=> @t479 (= @t478 @t76))) % 4.63/4.83 (define @t481 () (and @t480 @t477)) % 4.63/4.83 (define @t482 () (tptp.powerset (tptp.the_carrier @t2))) % 4.63/4.83 (define @t483 () (tptp.element @t76 @t482)) % 4.63/4.83 (define @t484 () (=> @t483 @t481)) % 4.63/4.83 (define @t485 () (forall @t100 @t484)) % 4.63/4.83 (define @t486 () (=> @t115 @t485)) % 4.63/4.83 (define @t487 () (forall @t106 @t486)) % 4.63/4.83 (define @t488 () (tptp.top_str @t2)) % 4.63/4.83 (define @t489 () (=> @t488 @t487)) % 4.63/4.83 (define @t490 () (forall @t11 @t489)) % 4.63/4.83 (define @t491 () (=> @t293 @t490)) % 4.63/4.83 (define @t492 () (forall @t13 @t491)) % 4.63/4.83 (define @t493 () (not @t492)) % 4.63/4.83 (define @t494 () (tptp.function_inverse @t2)) % 4.63/4.83 (define @t495 () (= @t209 tptp.empty_set)) % 4.63/4.83 (define @t496 () (= @t97 tptp.empty_set)) % 4.63/4.83 (define @t497 () (= (tptp.apply @t313 @t2) (tptp.apply @t41 @t2))) % 4.63/4.83 (define @t498 () (= @t142 (tptp.unordered_pair @t2 @t41))) % 4.63/4.83 (define @t499 () (@var "BOUND_VARIABLE_11869" $$unsorted)) % 4.63/4.83 (define @t500 () (= (tptp.interior @t1 @t499) (tptp.subset_complement @t57 (tptp.topstr_closure @t1 (tptp.subset_complement @t57 @t499))))) % 4.63/4.83 (define @t501 () (not (tptp.element @t499 @t112))) % 4.63/4.83 (define @t502 () (not @t117)) % 4.63/4.83 (define @t503 () (or @t501 @t500)) % 4.63/4.83 (define @t504 () (or @t502 @t503)) % 4.63/4.83 (define @t505 () (forall (@list @t1 @t499) @t504)) % 4.63/4.83 (define @t506 () (@list @t499)) % 4.63/4.83 (define @t507 () (forall @t506 @t504)) % 4.63/4.83 (define @t508 () (forall @t506 @t503)) % 4.63/4.83 (define @t509 () (@list @t2)) % 4.63/4.83 (define @t510 () (or @t502 @t508)) % 4.63/4.83 (define @t511 () (not @t116)) % 4.63/4.83 (define @t512 () (forall @t11 (or @t511 @t160))) % 4.63/4.83 (define @t513 () (@var "BOUND_VARIABLE_17643" $$unsorted)) % 4.63/4.83 (define @t514 () (@var "BOUND_VARIABLE_17645" $$unsorted)) % 4.63/4.83 (define @t515 () (@var "BOUND_VARIABLE_17641" $$unsorted)) % 4.63/4.83 (define @t516 () (and (or (not (tptp.open_subset @t514 @t515)) (= @t514 (tptp.interior @t515 @t514))) (or (not (= @t513 (tptp.interior @t1 @t513))) (tptp.open_subset @t513 @t1)))) % 4.63/4.83 (define @t517 () (not (tptp.element @t514 (tptp.powerset (tptp.the_carrier @t515))))) % 4.63/4.83 (define @t518 () (not (tptp.element @t513 @t112))) % 4.63/4.83 (define @t519 () (not (tptp.top_str @t515))) % 4.63/4.83 (define @t520 () (not @t148)) % 4.63/4.83 (define @t521 () (or @t520 @t502 @t519 @t518 @t517 @t516)) % 4.63/4.83 (define @t522 () (@list @t1 @t515 @t513 @t514)) % 4.63/4.83 (define @t523 () (forall @t522 @t521)) % 4.63/4.83 (define @t524 () (@quantifiers_skolemize @t523 3)) % 4.63/4.83 (define @t525 () (@quantifiers_skolemize @t523 1)) % 4.63/4.83 (define @t526 () (@list @t525 @t524)) % 4.63/4.83 (define @t527 () (or @t519 @t518 @t517 @t516)) % 4.63/4.83 (define @t528 () (or @t520 @t502 @t527)) % 4.63/4.83 (define @t529 () (forall @t522 @t528)) % 4.63/4.83 (define @t530 () (@list @t515 @t513 @t514)) % 4.63/4.83 (define @t531 () (forall @t530 @t528)) % 4.63/4.83 (define @t532 () (forall @t530 @t527)) % 4.63/4.83 (define @t533 () (@var "BOUND_VARIABLE_17614" $$unsorted)) % 4.63/4.83 (define @t534 () (@var "BOUND_VARIABLE_17612" $$unsorted)) % 4.63/4.83 (define @t535 () (or @t520 @t502 @t532)) % 4.63/4.83 (define @t536 () (and (or (not (tptp.open_subset @t533 @t2)) (= @t533 (tptp.interior @t2 @t533))) (or (not (= @t534 (tptp.interior @t1 @t534))) (tptp.open_subset @t534 @t1)))) % 4.63/4.83 (define @t537 () (not (tptp.element @t533 @t482))) % 4.63/4.83 (define @t538 () (not (tptp.element @t534 @t112))) % 4.63/4.83 (define @t539 () (not @t488)) % 4.63/4.83 (define @t540 () (or @t539 @t538 @t537 @t536)) % 4.63/4.83 (define @t541 () (@list @t2 @t534 @t533)) % 4.63/4.83 (define @t542 () (forall @t541 @t540)) % 4.63/4.83 (define @t543 () (or @t520 @t502 @t542)) % 4.63/4.83 (define @t544 () (or @t538 @t537 @t536)) % 4.63/4.83 (define @t545 () (or @t539 @t544)) % 4.63/4.83 (define @t546 () (forall @t541 @t545)) % 4.63/4.83 (define @t547 () (@list @t534 @t533)) % 4.63/4.83 (define @t548 () (forall @t547 @t545)) % 4.63/4.83 (define @t549 () (forall @t547 @t544)) % 4.63/4.83 (define @t550 () (@var "BOUND_VARIABLE_17591" $$unsorted)) % 4.63/4.83 (define @t551 () (or @t539 @t549)) % 4.63/4.83 (define @t552 () (= @t41 @t476)) % 4.63/4.83 (define @t553 () (or (not @t552) @t475)) % 4.63/4.83 (define @t554 () (and (or (not (tptp.open_subset @t550 @t2)) (= @t550 (tptp.interior @t2 @t550))) @t553)) % 4.63/4.83 (define @t555 () (not (tptp.element @t550 @t482))) % 4.63/4.83 (define @t556 () (not @t115)) % 4.63/4.83 (define @t557 () (or @t556 @t555 @t554)) % 4.63/4.83 (define @t558 () (@list @t41 @t550)) % 4.63/4.83 (define @t559 () (forall @t558 @t557)) % 4.63/4.83 (define @t560 () (or @t555 @t554)) % 4.63/4.83 (define @t561 () (or @t556 @t560)) % 4.63/4.83 (define @t562 () (forall @t558 @t561)) % 4.63/4.83 (define @t563 () (@list @t550)) % 4.63/4.83 (define @t564 () (forall @t563 @t561)) % 4.63/4.83 (define @t565 () (forall @t563 @t560)) % 4.63/4.83 (define @t566 () (or @t556 @t565)) % 4.63/4.83 (define @t567 () (= @t76 @t478)) % 4.63/4.83 (define @t568 () (not @t483)) % 4.63/4.83 (define @t569 () (forall @t100 (or @t568 (and (or (not @t479) @t567) @t553)))) % 4.63/4.83 (define @t570 () (and (=> @t479 @t567) (=> @t552 @t475))) % 4.63/4.83 (define @t571 () (tptp.the_carrier @t525)) % 4.63/4.83 (define @t572 () (tptp.powerset @t571)) % 4.63/4.83 (define @t573 () (tptp.element @t524 @t572)) % 4.63/4.83 (define @t574 () (@quantifiers_skolemize @t523 0)) % 4.63/4.83 (define @t575 () (@quantifiers_skolemize @t523 2)) % 4.63/4.83 (define @t576 () (tptp.open_subset @t575 @t574)) % 4.63/4.83 (define @t577 () (tptp.interior @t574 @t575)) % 4.63/4.83 (define @t578 () (= @t575 @t577)) % 4.63/4.83 (define @t579 () (not @t578)) % 4.63/4.83 (define @t580 () (or @t579 @t576)) % 4.63/4.83 (define @t581 () (tptp.interior @t525 @t524)) % 4.63/4.83 (define @t582 () (= @t524 @t581)) % 4.63/4.83 (define @t583 () (tptp.open_subset @t524 @t525)) % 4.63/4.83 (define @t584 () (not @t583)) % 4.63/4.83 (define @t585 () (or @t584 @t582)) % 4.63/4.83 (define @t586 () (and @t585 @t580)) % 4.63/4.83 (define @t587 () (not @t573)) % 4.63/4.83 (define @t588 () (tptp.element @t575 (tptp.powerset (tptp.the_carrier @t574)))) % 4.63/4.83 (define @t589 () (not @t588)) % 4.63/4.83 (define @t590 () (tptp.top_str @t525)) % 4.63/4.83 (define @t591 () (not @t590)) % 4.63/4.83 (define @t592 () (tptp.top_str @t574)) % 4.63/4.83 (define @t593 () (not @t592)) % 4.63/4.83 (define @t594 () (tptp.topological_space @t574)) % 4.63/4.83 (define @t595 () (not @t594)) % 4.63/4.83 (define @t596 () (or @t595 @t593 @t591 @t589 @t587 @t586)) % 4.63/4.83 (define @t597 () (@list true)) % 4.63/4.83 (define @t598 () (@list @t596)) % 4.63/4.83 (define @t599 () (tptp.subset_complement @t571 @t524)) % 4.63/4.83 (define @t600 () (tptp.topstr_closure @t525 @t599)) % 4.63/4.83 (define @t601 () (tptp.subset_complement @t571 @t600)) % 4.63/4.83 (define @t602 () (= @t581 @t601)) % 4.63/4.83 (define @t603 () (or @t591 @t587 @t602)) % 4.63/4.83 (define @t604 () (@list false false false)) % 4.63/4.83 (define @t605 () (= @t2 @t299)) % 4.63/4.83 (define @t606 () (@list @t571 @t524)) % 4.63/4.83 (define @t607 () (tptp.subset_complement @t571 @t599)) % 4.63/4.83 (define @t608 () (= @t524 @t607)) % 4.63/4.83 (define @t609 () (or @t587 @t608)) % 4.63/4.83 (define @t610 () (@list false false)) % 4.63/4.83 (define @t611 () (= @t57 @t185)) % 4.63/4.83 (define @t612 () (@list @t525)) % 4.63/4.83 (define @t613 () (tptp.one_sorted_str @t525)) % 4.63/4.83 (define @t614 () (or @t591 @t613)) % 4.63/4.83 (define @t615 () (tptp.cast_as_carrier_subset @t525)) % 4.63/4.83 (define @t616 () (= @t571 @t615)) % 4.63/4.83 (define @t617 () (not @t613)) % 4.63/4.83 (define @t618 () (or @t617 @t616)) % 4.63/4.83 (define @t619 () (@var "BOUND_VARIABLE_16000" $$unsorted)) % 4.63/4.83 (define @t620 () (= (tptp.subset_complement @t57 @t619) (tptp.subset_difference @t57 @t185 @t619))) % 4.63/4.83 (define @t621 () (not (tptp.element @t619 @t112))) % 4.63/4.83 (define @t622 () (not @t157)) % 4.63/4.83 (define @t623 () (or @t621 @t620)) % 4.63/4.83 (define @t624 () (or @t622 @t623)) % 4.63/4.83 (define @t625 () (forall (@list @t1 @t619) @t624)) % 4.63/4.83 (define @t626 () (@list @t619)) % 4.63/4.83 (define @t627 () (forall @t626 @t624)) % 4.63/4.83 (define @t628 () (forall @t626 @t623)) % 4.63/4.83 (define @t629 () (or @t622 @t628)) % 4.63/4.83 (define @t630 () (forall @t11 (or @t511 @t425))) % 4.63/4.83 (define @t631 () (tptp.subset_difference @t571 @t615 @t524)) % 4.63/4.83 (define @t632 () (= @t599 @t631)) % 4.63/4.83 (define @t633 () (or @t617 @t587 @t632)) % 4.63/4.83 (define @t634 () (or @t520 @t502 @t511)) % 4.63/4.83 (define @t635 () (or @t502 @t511)) % 4.63/4.83 (define @t636 () (not @t239)) % 4.63/4.83 (define @t637 () (tptp.open_subset @t577 @t574)) % 4.63/4.83 (define @t638 () (or @t595 @t593 @t589 @t637)) % 4.63/4.83 (define @t639 () (and @t578 @t637)) % 4.63/4.83 (define @t640 () (@list @t585)) % 4.63/4.83 (define @t641 () (= @t207 @t213)) % 4.63/4.83 (define @t642 () (tptp.set_difference @t571 @t599)) % 4.63/4.83 (define @t643 () (tptp.element @t599 @t572)) % 4.63/4.83 (define @t644 () (not @t643)) % 4.63/4.83 (define @t645 () (or @t644 (= @t642 @t607))) % 4.63/4.83 (define @t646 () (forall @t6 (or (not @t25) @t641))) % 4.63/4.83 (define @t647 () (= @t607 @t642)) % 4.63/4.83 (define @t648 () (or @t644 @t647)) % 4.63/4.83 (define @t649 () (@list false)) % 4.63/4.83 (define @t650 () (@list @t646)) % 4.63/4.83 (define @t651 () (or @t587 @t643)) % 4.63/4.83 (define @t652 () (tptp.set_difference @t571 @t600)) % 4.63/4.83 (define @t653 () (tptp.element @t600 @t572)) % 4.63/4.83 (define @t654 () (not @t653)) % 4.63/4.83 (define @t655 () (or @t654 (= @t652 @t601))) % 4.63/4.83 (define @t656 () (= @t601 @t652)) % 4.63/4.83 (define @t657 () (or @t654 @t656)) % 4.63/4.83 (define @t658 () (@list @t525 @t599)) % 4.63/4.83 (define @t659 () (or @t591 @t644 @t653)) % 4.63/4.83 (define @t660 () (@var "BOUND_VARIABLE_17308" $$unsorted)) % 4.63/4.83 (define @t661 () (tptp.closed_subset @t660 @t1)) % 4.63/4.83 (define @t662 () (= @t660 (tptp.topstr_closure @t1 @t660))) % 4.63/4.83 (define @t663 () (and (or (not @t661) @t662) (or @t520 (not @t662) @t661))) % 4.63/4.83 (define @t664 () (not (tptp.element @t660 @t112))) % 4.63/4.83 (define @t665 () (or @t664 @t663)) % 4.63/4.83 (define @t666 () (or @t502 @t665)) % 4.63/4.83 (define @t667 () (forall (@list @t1 @t660) @t666)) % 4.63/4.83 (define @t668 () (@list @t660)) % 4.63/4.83 (define @t669 () (forall @t668 @t666)) % 4.63/4.83 (define @t670 () (forall @t668 @t665)) % 4.63/4.83 (define @t671 () (or @t502 @t670)) % 4.63/4.83 (define @t672 () (= @t2 @t114)) % 4.63/4.83 (define @t673 () (not @t672)) % 4.63/4.83 (define @t674 () (or @t520 @t673 @t220)) % 4.63/4.83 (define @t675 () (forall @t11 (or @t511 (and (or (not @t220) @t672) @t674)))) % 4.63/4.83 (define @t676 () (and @t148 @t672)) % 4.63/4.83 (define @t677 () (and (=> @t220 @t672) (=> @t676 @t220))) % 4.63/4.83 (define @t678 () (tptp.closed_subset @t599 @t525)) % 4.63/4.83 (define @t679 () (= @t599 @t600)) % 4.63/4.83 (define @t680 () (not @t679)) % 4.63/4.83 (define @t681 () (not @t678)) % 4.63/4.83 (define @t682 () (or @t681 @t679)) % 4.63/4.83 (define @t683 () (and @t682 (or (not (tptp.topological_space @t525)) @t680 @t678))) % 4.63/4.83 (define @t684 () (or @t591 @t644 @t683)) % 4.63/4.83 (define @t685 () (@var "BOUND_VARIABLE_16551" $$unsorted)) % 4.63/4.83 (define @t686 () (= (tptp.open_subset @t685 @t1) (tptp.closed_subset (tptp.subset_complement @t57 @t685) @t1))) % 4.63/4.83 (define @t687 () (not (tptp.element @t685 @t112))) % 4.63/4.83 (define @t688 () (or @t687 @t686)) % 4.63/4.83 (define @t689 () (or @t502 @t688)) % 4.63/4.83 (define @t690 () (forall (@list @t1 @t685) @t689)) % 4.63/4.83 (define @t691 () (@list @t685)) % 4.63/4.83 (define @t692 () (forall @t691 @t689)) % 4.63/4.83 (define @t693 () (forall @t691 @t688)) % 4.63/4.83 (define @t694 () (or @t502 @t693)) % 4.63/4.83 (define @t695 () (forall @t11 (or @t511 @t450))) % 4.63/4.83 (define @t696 () (= @t583 @t678)) % 4.63/4.83 (define @t697 () (or @t591 @t587 @t696)) % 4.63/4.83 (define @t698 () (and @t602 @t616 @t608 @t632 @t647 @t656 @t679)) % 4.63/4.83 (assume @p1 (forall @t6 (=> @t5 @t4))) % 4.63/4.83 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 4.63/4.83 (assume @p3 (forall @t13 (=> @t12 (forall @t11 (=> @t10 @t9))))) % 4.63/4.83 (assume @p4 (forall @t13 (=> @t15 (forall @t11 (=> @t10 (and @t9 @t14)))))) % 4.63/4.83 (assume @p5 (forall @t13 (=> @t17 (forall @t11 (=> @t10 (and @t9 @t14 @t16)))))) % 4.63/4.83 (assume @p6 (forall @t13 (=> @t19 (forall @t11 (=> @t10 (and @t9 @t14 @t18 @t16)))))) % 4.63/4.83 (assume @p7 (forall @t13 (=> @t21 (forall @t11 (=> @t10 (and @t9 @t20 @t14 @t18 @t16)))))) % 4.63/4.83 (assume @p8 (forall @t13 (=> @t22 (and @t12 @t15 @t17 @t19 @t21)))) % 4.63/4.83 (assume @p9 (forall @t13 (=> @t12 (forall @t11 (=> @t25 @t23))))) % 4.63/4.83 (assume @p10 (forall @t13 (=> @t15 (forall @t11 (=> @t25 (and @t23 @t26)))))) % 4.63/4.83 (assume @p11 (forall @t13 (=> @t17 (forall @t11 (=> @t25 (and @t23 @t26 @t27)))))) % 4.63/4.83 (assume @p12 (forall @t13 (=> @t19 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28)))))) % 4.63/4.83 (assume @p13 (forall @t13 (=> @t32 (forall @t11 (=> @t10 (and @t31 @t30 @t29)))))) % 4.63/4.83 (assume @p14 (forall @t13 (=> @t22 @t33))) % 4.63/4.83 (assume @p15 (forall @t13 (=> @t35 @t34))) % 4.63/4.83 (assume @p16 (forall @t13 (=> @t22 @t36))) % 4.63/4.83 (assume @p17 (forall @t13 (=> @t21 @t19))) % 4.63/4.83 (assume @p18 (forall @t13 (=> @t32 @t39))) % 4.63/4.83 (assume @p19 (forall @t13 (=> @t22 @t40))) % 4.63/4.83 (assume @p20 (forall @t45 (=> @t44 @t42))) % 4.63/4.83 (assume @p21 (forall @t13 (=> @t21 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28 (tptp.v5_membered @t2))))))) % 4.63/4.83 (assume @p22 (forall @t13 (=> (and @t22 @t32) @t47))) % 4.63/4.83 (assume @p23 (forall @t13 (=> @t33 (forall @t11 (=> @t25 @t48))))) % 4.63/4.83 (assume @p24 (forall @t13 (=> @t34 @t35))) % 4.63/4.83 (assume @p25 (forall @t13 (=> @t51 @t50))) % 4.63/4.83 (assume @p26 (forall @t13 (=> @t19 @t17))) % 4.63/4.83 (assume @p27 (forall @t13 (=> @t39 @t32))) % 4.63/4.83 (assume @p28 (forall @t13 (=> (tptp.element @t1 tptp.omega) @t47))) % 4.63/4.83 (assume @p29 (forall @t13 (=> @t17 @t15))) % 4.63/4.83 (assume @p30 (forall @t13 (=> @t22 @t52))) % 4.63/4.83 (assume @p31 (forall @t13 (=> @t15 @t12))) % 4.63/4.83 (assume @p32 (forall @t6 (= @t53 (tptp.unordered_pair @t2 @t1)))) % 4.63/4.83 (assume @p33 (forall @t6 (= @t55 @t54))) % 4.63/4.83 (assume @p34 (forall @t45 (=> @t64 (= @t56 (tptp.join_commut @t1 @t41 @t2))))) % 4.63/4.83 (assume @p35 (forall @t6 (= @t66 @t65))) % 4.63/4.83 (assume @p36 (forall @t45 (=> @t70 (= @t67 (tptp.meet_commut @t1 @t41 @t2))))) % 4.63/4.83 (assume @p37 (forall @t45 (=> @t73 (= @t71 (tptp.subset_intersection2 @t1 @t41 @t2))))) % 4.63/4.83 (assume @p38 (forall @t6 (=> @t75 (or @t74 (tptp.ordinal_subset @t2 @t1))))) % 4.63/4.83 (assume @p39 (forall @t6 (=> @t84 (= @t83 (forall @t81 (= @t80 (and @t78 @t77))))))) % 4.63/4.83 (assume @p40 (forall @t6 (= @t87 (and @t86 @t85)))) % 4.63/4.83 (assume @p41 (forall @t13 (=> @t40 (forall @t95 (=> @t42 (= (= @t41 @t94) (forall @t93 (= @t92 (and @t91 @t90))))))))) % 4.63/4.83 (assume @p42 (forall @t13 (=> @t103 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t97) @t96 (= @t76 (tptp.apply @t1 @t88))))))))))) % 4.63/4.83 (assume @p43 (forall @t6 (=> @t84 (forall @t106 (=> @t42 (= (= @t41 @t105) (forall @t93 (= @t92 (and @t104 (tptp.in @t89 @t2)))))))))) % 4.63/4.83 (assume @p44 (forall @t13 (=> @t40 (= @t108 (tptp.is_antisymmetric_in @t1 @t107))))) % 4.63/4.83 (assume @p45 (forall @t13 (=> @t103 (forall @t95 (= @t111 (forall @t100 (= @t99 (and @t110 (tptp.in @t109 @t2))))))))) % 4.63/4.83 (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)))))))))))))))) % 4.63/4.83 (assume @p47 (forall @t13 (=> @t40 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t118 @t1) @t96))))))))) % 4.63/4.83 (assume @p48 (forall @t13 (=> @t40 (forall @t95 (= @t111 (forall @t100 (= @t99 (exists @t98 (and @t90 @t96))))))))) % 4.63/4.83 (assume @p49 (forall @t13 (=> @t40 (= @t119 (tptp.is_connected_in @t1 @t107))))) % 4.63/4.83 (assume @p50 (forall @t13 (=> @t40 (= @t120 (tptp.is_transitive_in @t1 @t107))))) % 4.63/4.83 (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))))))))) % 4.63/4.83 (assume @p52 (forall @t13 (= @t33 (exists @t11 (and @t84 @t125 (= @t124 @t1) (tptp.in @t123 tptp.omega)))))) % 4.63/4.83 (assume @p53 (forall @t13 (= @t36 (forall @t129 (=> (and @t128 @t126) @t77))))) % 4.63/4.83 (assume @p54 (forall @t45 (=> @t135 (and (=> (=> @t133 @t132) (= @t131 (= @t1 @t134))) (=> @t133 (or @t132 (= @t131 @t130))))))) % 4.63/4.83 (assume @p55 (forall @t13 (=> @t138 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t137 (tptp.apply_binary_as_element @t57 @t57 @t57 @t136 @t2 @t41))))))))) % 4.63/4.83 (assume @p56 (forall @t13 (=> @t141 (forall @t11 (= (= @t2 (tptp.pair_first @t1)) (forall @t81 (=> @t140 @t139))))))) % 4.63/4.83 (assume @p57 (forall @t13 (= @t143 (tptp.set_union2 @t1 @t142)))) % 4.63/4.83 (assume @p58 (forall @t13 (=> @t117 (= @t148 (and (tptp.in @t57 @t144) (forall @t11 (=> @t147 (=> (tptp.subset @t2 @t144) (tptp.in (tptp.union_of_subsets @t57 @t2) @t144)))) (forall @t11 (=> @t116 (forall @t106 (=> @t115 (=> (and @t145 (tptp.in @t41 @t144)) (tptp.in (tptp.subset_intersection2 @t57 @t2 @t41) @t144))))))))))) % 4.63/4.83 (assume @p59 (forall @t13 (= @t40 (forall @t11 (not (and @t3 (forall @t81 (not (= @t2 @t79))))))))) % 4.63/4.83 (assume @p60 (forall @t13 (=> @t40 (forall @t11 (= @t150 (forall @t106 (=> @t149 (tptp.in (tptp.ordered_pair @t41 @t41) @t1)))))))) % 4.63/4.83 (assume @p61 (forall @t45 (= @t151 (tptp.subset @t41 @t43)))) % 4.63/4.83 (assume @p62 (forall @t6 (and (=> @t155 (= @t152 (forall @t106 (= @t149 (forall @t100 (=> @t154 @t153)))))) (=> @t132 (= @t152 @t133))))) % 4.63/4.83 (assume @p63 (forall @t13 (=> @t157 (= @t62 @t156)))) % 4.63/4.83 (assume @p64 (forall @t6 (= (= @t2 @t142) (forall @t106 (= @t149 (= @t41 @t1)))))) % 4.63/4.83 (assume @p65 @t163) % 4.63/4.83 (assume @p66 (forall @t13 (=> @t40 (forall @t95 (= (= @t41 (tptp.fiber @t1 @t2)) (forall @t100 (= @t99 (and (not @t164) (tptp.in (tptp.ordered_pair @t76 @t2) @t1))))))))) % 4.63/4.83 (assume @p67 (forall @t6 (=> @t84 (= (= @t2 @t167) (and (= @t166 @t1) (forall @t81 (=> (and @t78 @t154) (= @t80 @t165)))))))) % 4.63/4.83 (assume @p68 (forall @t13 (= @t132 (forall @t11 @t4)))) % 4.63/4.83 (assume @p69 (forall @t6 (= (= @t2 @t24) (forall @t106 (= @t149 (tptp.subset @t41 @t1)))))) % 4.63/4.83 (assume @p70 (forall @t13 (=> (and @t63 @t68) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t169 (tptp.apply_binary_as_element @t57 @t57 @t57 @t168 @t2 @t41))))))))) % 4.63/4.83 (assume @p71 (forall @t13 (=> @t141 (forall @t11 (= (= @t2 (tptp.pair_second @t1)) (forall @t81 (=> @t140 @t170))))))) % 4.63/4.83 (assume @p72 (forall @t13 (= @t38 (forall @t11 (=> @t3 @t85))))) % 4.63/4.83 (assume @p73 (forall @t13 (=> @t157 (= @t171 tptp.empty_set)))) % 4.63/4.83 (assume @p74 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t87 (forall @t81 (= @t172 @t80)))))))) % 4.63/4.83 (assume @p75 (forall @t6 (and (=> @t174 (= @t10 @t3)) (=> @t22 (= @t10 @t173))))) % 4.63/4.83 (assume @p76 (forall @t45 (= (= @t41 @t53) (forall @t100 (= @t99 (or (= @t76 @t1) @t164)))))) % 4.63/4.83 (assume @p77 (forall @t13 (=> @t40 (= @t176 (forall @t11 (not (and (tptp.subset @t2 @t107) @t175 (forall @t106 (not (and @t149 (tptp.disjoint (tptp.fiber @t1 @t41) @t2))))))))))) % 4.63/4.83 (assume @p78 (forall @t45 (= (= @t41 @t55) (forall @t100 (= @t99 (or @t154 @t91)))))) % 4.63/4.83 (assume @p79 (forall @t45 (= (= @t41 @t43) (forall @t100 (= @t99 (exists @t180 (and @t104 @t179 (= @t76 @t178)))))))) % 4.63/4.83 (assume @p80 (forall @t13 (=> @t138 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t181 (= @t137 @t41))))))))) % 4.63/4.83 (assume @p81 (forall @t13 (= @t37 (forall @t95 (not (and @t3 @t78 (not @t184) @t183 @t182)))))) % 4.63/4.83 (assume @p82 @t187) % 4.63/4.83 (assume @p83 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t86 (forall @t81 (=> @t172 @t80)))))))) % 4.63/4.83 (assume @p84 (forall @t6 (= @t86 @t188))) % 4.63/4.83 (assume @p85 (forall @t13 (=> @t40 (forall @t11 (= @t191 (forall @t106 (not (and @t190 @t189 (forall @t100 (not (and @t99 (tptp.disjoint (tptp.fiber @t1 @t76) @t41)))))))))))) % 4.63/4.83 (assume @p86 (forall @t45 (= (= @t41 @t66) (forall @t100 (= @t99 (and @t154 @t91)))))) % 4.63/4.83 (assume @p87 (forall @t13 (=> @t103 (forall @t95 (and (=> @t194 (= @t193 @t128)) (=> (not @t194) (= @t193 @t130))))))) % 4.63/4.83 (assume @p88 (forall @t13 (= @t32 @t39))) % 4.63/4.83 (assume @p89 (forall @t13 (=> @t40 (forall @t11 (= (= @t2 @t97) (forall @t106 (= @t149 (exists @t100 @t172)))))))) % 4.63/4.83 (assume @p90 (forall @t13 (=> @t40 (forall @t11 (= @t196 (forall @t81 (=> (and @t149 @t91 @t172 @t195) @t77))))))) % 4.63/4.83 (assume @p91 (forall @t13 (= @t197 @t1))) % 4.63/4.83 (assume @p92 (forall @t6 (= (= @t2 @t198) (forall @t106 (= @t149 (exists @t100 (and @t153 @t154))))))) % 4.63/4.83 (assume @p93 (forall @t13 (=> @t40 (= @t200 (and @t199 @t120 @t108 @t119 @t176))))) % 4.63/4.83 (assume @p94 (forall @t6 (= @t206 (exists @t106 (and @t42 @t205 @t204 @t203 (= @t201 @t2)))))) % 4.63/4.83 (assume @p95 (forall @t45 (= (= @t41 @t207) (forall @t100 (= @t99 (and @t154 (not @t91))))))) % 4.63/4.83 (assume @p96 (forall @t13 (=> @t103 (forall @t11 (= @t210 (forall @t106 (= @t149 (exists @t100 @t208)))))))) % 4.63/4.83 (assume @p97 (forall @t13 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t211 @t32 (forall @t11 (=> @t29 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t86))))))) % 4.63/4.83 (assume @p98 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t212 @t145)))))) % 4.63/4.83 (assume @p99 (forall @t13 (=> @t40 (forall @t11 (= @t210 (forall @t106 (= @t149 (exists @t100 @t195)))))))) % 4.63/4.83 (assume @p100 @t215) % 4.63/4.83 (assume @p101 (forall @t6 (= @t216 (tptp.unordered_pair @t53 @t142)))) % 4.63/4.83 (assume @p102 (forall @t13 (=> @t40 (forall @t11 (= (tptp.well_orders @t1 @t2) (and @t150 @t218 @t196 @t217 @t191)))))) % 4.63/4.83 (assume @p103 (forall @t13 (= @t211 (= @t1 @t198)))) % 4.63/4.83 (assume @p104 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t220 (tptp.open_subset @t219 @t1))))))) % 4.63/4.83 (assume @p105 (forall @t13 (=> @t40 (= @t107 (tptp.set_union2 @t97 @t209))))) % 4.63/4.83 (assume @p106 (forall @t13 (=> @t40 (forall @t11 (= @t217 (forall @t81 (not (and @t149 @t91 (not @t77) (not @t172) (not @t195))))))))) % 4.63/4.83 (assume @p107 (forall @t13 (=> @t40 (forall @t11 (= @t222 (tptp.set_intersection2 @t1 @t221)))))) % 4.63/4.83 (assume @p108 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= (= @t2 @t223) (forall @t81 (= @t80 @t195)))))))) % 4.63/4.83 (assume @p109 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t227 (= @t226 (and (= @t202 @t107) (= @t201 @t166) @t204 (forall @t93 (= @t90 (and (tptp.in @t76 @t107) (tptp.in @t88 @t107) (tptp.in (tptp.ordered_pair @t225 @t224) @t2))))))))))))) % 4.63/4.83 (assume @p110 (forall @t6 (= @t228 (= @t66 tptp.empty_set)))) % 4.63/4.83 (assume @p111 (forall @t13 (=> @t103 (= @t49 (forall @t95 (=> (and @t194 (tptp.in @t41 @t97) (= @t192 (tptp.apply @t1 @t41))) @t139)))))) % 4.63/4.83 (assume @p112 (forall @t13 (=> (and @t63 @t230) (= @t229 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= (tptp.join @t1 @t169 @t41) @t41))))))))) % 4.63/4.83 (assume @p113 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t42 (= (= @t41 @t232) (forall @t93 (= @t92 (exists @t231 (and (tptp.in (tptp.ordered_pair @t76 @t177) @t1) (tptp.in (tptp.ordered_pair @t177 @t88) @t2))))))))))))) % 4.63/4.83 (assume @p114 (forall @t13 (=> @t40 (forall @t11 (= @t218 (forall @t233 (=> (and @t149 @t91 @t96 @t172 @t90) (tptp.in (tptp.ordered_pair @t41 @t88) @t1)))))))) % 4.63/4.83 (assume @p115 (forall @t6 (=> @t236 (forall @t106 (=> (tptp.element @t41 @t235) (= (= @t41 @t234) (forall @t100 (=> (tptp.element @t76 @t24) (= @t99 (tptp.in (tptp.subset_complement @t1 @t76) @t2)))))))))) % 4.63/4.83 (assume @p116 (forall @t6 (= @t8 (and @t86 @t237)))) % 4.63/4.83 (assume @p117 (forall @t13 (=> @t103 (=> @t49 (= @t238 @t223))))) % 4.63/4.83 (assume @p118 (forall @t13 (=> @t40 (= @t199 (tptp.is_reflexive_in @t1 @t107))))) % 4.63/4.83 (assume @p119 true) % 4.63/4.83 (assume @p120 (forall @t45 (=> (and @t63 @t60 @t59 @t58) (tptp.element @t137 @t57)))) % 4.63/4.83 (assume @p121 (forall @t13 (=> @t157 (tptp.element @t171 @t112)))) % 4.63/4.83 (assume @p122 (forall @t6 (=> @t239 (tptp.element @t159 @t112)))) % 4.63/4.83 (assume @p123 (forall @t13 (tptp.relation @t167))) % 4.63/4.83 (assume @p124 (forall @t244 (=> @t243 (tptp.element @t240 @t41)))) % 4.63/4.83 (assume @p125 (forall @t13 (=> @t103 (and (tptp.relation @t238) (tptp.function @t238))))) % 4.63/4.83 (assume @p126 (forall @t45 (=> (and @t63 @t68 @t59 @t58) (tptp.element @t169 @t57)))) % 4.63/4.83 (assume @p127 (forall @t13 (=> @t157 (tptp.element @t185 @t112)))) % 4.63/4.83 (assume @p128 (forall @t13 (tptp.element @t197 @t24))) % 4.63/4.83 (assume @p129 (forall @t6 (=> @t40 (tptp.relation @t222)))) % 4.63/4.83 (assume @p130 (forall @t45 (=> @t64 (tptp.element @t56 @t57)))) % 4.63/4.83 (assume @p131 @t246) % 4.63/4.83 (assume @p132 (forall @t45 (=> @t70 (tptp.element @t67 @t57)))) % 4.63/4.83 (assume @p133 (forall @t13 (=> @t40 @t247))) % 4.63/4.83 (assume @p134 (forall @t45 (=> @t151 (tptp.element @t134 @t24)))) % 4.63/4.83 (assume @p135 (forall @t6 (=> @t249 @t248))) % 4.63/4.83 (assume @p136 (forall @t45 (=> @t151 (tptp.element @t251 @t250)))) % 4.63/4.83 (assume @p137 (forall @t6 (=> @t236 (tptp.element @t252 @t24)))) % 4.63/4.83 (assume @p138 (forall @t45 (=> @t73 (tptp.element @t71 @t24)))) % 4.63/4.83 (assume @p139 @t254) % 4.63/4.83 (assume @p140 (forall @t13 @t255)) % 4.63/4.83 (assume @p141 (forall @t6 (=> @t236 (tptp.element @t256 @t24)))) % 4.63/4.83 (assume @p142 (forall @t45 (=> @t73 (tptp.element @t257 @t24)))) % 4.63/4.83 (assume @p143 (forall @t6 (=> @t40 @t258))) % 4.63/4.83 (assume @p144 (forall @t6 (=> @t236 (tptp.element @t234 @t235)))) % 4.63/4.83 (assume @p145 (forall @t6 (=> @t84 @t259))) % 4.63/4.83 (assume @p146 (forall @t13 (=> @t68 @t157))) % 4.63/4.83 (assume @p147 @t260) % 4.63/4.83 (assume @p148 (forall @t13 (=> @t60 @t157))) % 4.63/4.83 (assume @p149 (forall @t13 (=> @t230 (and @t68 @t60)))) % 4.63/4.83 (assume @p150 (forall @t45 (=> @t135 @t44))) % 4.63/4.83 (assume @p151 (forall @t13 (=> @t68 (and (tptp.function @t168) (tptp.quasi_total @t168 @t261 @t57) (tptp.relation_of2_as_subset @t168 @t261 @t57))))) % 4.63/4.83 (assume @p152 (forall @t13 (=> @t117 (tptp.element @t144 @t146)))) % 4.63/4.83 (assume @p153 (forall @t13 (=> @t60 (and (tptp.function @t136) (tptp.quasi_total @t136 @t261 @t57) (tptp.relation_of2_as_subset @t136 @t261 @t57))))) % 4.63/4.83 (assume @p154 (exists @t13 @t68)) % 4.63/4.83 (assume @p155 (exists @t13 @t117)) % 4.63/4.83 (assume @p156 (exists @t13 @t157)) % 4.63/4.83 (assume @p157 (exists @t13 @t60)) % 4.63/4.83 (assume @p158 (exists @t13 @t230)) % 4.63/4.83 (assume @p159 (forall @t6 (exists @t106 @t151))) % 4.63/4.83 (assume @p160 (forall @t13 (exists @t11 @t10))) % 4.63/4.83 (assume @p161 (forall @t6 (exists @t106 @t135))) % 4.63/4.83 (assume @p162 (forall @t6 (=> @t48 @t262))) % 4.63/4.83 (assume @p163 (forall @t6 (=> @t264 (and (tptp.empty @t263) (tptp.relation @t263))))) % 4.63/4.83 (assume @p164 (forall @t6 (=> @t33 @t262))) % 4.63/4.83 (assume @p165 (forall @t13 (=> @t22 (and (tptp.empty @t223) @t247)))) % 4.63/4.83 (assume @p166 (forall @t6 (=> @t33 (tptp.finite @t207)))) % 4.63/4.83 (assume @p167 (and @t267 @t266 @t265)) % 4.63/4.83 (assume @p168 (forall @t6 (=> (and @t40 @t36 @t48) (tptp.finite @t101)))) % 4.63/4.83 (assume @p169 (forall @t6 (=> @t269 (and @t258 (tptp.relation_empty_yielding @t94))))) % 4.63/4.83 (assume @p170 (forall @t13 (and @t270 (tptp.finite @t142)))) % 4.63/4.83 (assume @p171 (forall @t13 (and @t271 (tptp.cup_closed @t24) (tptp.diff_closed @t24) (tptp.preboolean @t24)))) % 4.63/4.83 (assume @p172 (forall @t6 (=> (and @t40 @t36 @t84 @t125) (and @t248 (tptp.function @t232))))) % 4.63/4.83 (assume @p173 (forall @t13 @t272)) % 4.63/4.83 (assume @p174 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 4.63/4.83 (assume @p175 (forall @t13 (=> @t157 (and (tptp.empty @t171) (tptp.v1_membered @t171) (tptp.v2_membered @t171) (tptp.v3_membered @t171) (tptp.v4_membered @t171) (tptp.v5_membered @t171))))) % 4.63/4.83 (assume @p176 (forall @t6 (=> @t249 (tptp.relation @t66)))) % 4.63/4.83 (assume @p177 (forall @t13 (=> @t273 (not @t156)))) % 4.63/4.83 (assume @p178 (forall @t13 @t271)) % 4.63/4.83 (assume @p179 @t267) % 4.63/4.83 (assume @p180 (forall @t6 (not (tptp.empty @t216)))) % 4.63/4.83 (assume @p181 (forall @t6 (=> @t12 @t274))) % 4.63/4.83 (assume @p182 (forall @t6 (=> @t12 @t275))) % 4.63/4.83 (assume @p183 (forall @t6 (=> @t15 (and @t274 @t276)))) % 4.63/4.83 (assume @p184 (forall @t13 (=> (and @t32 @t46) (and @t272 @t279 @t278 @t277 (tptp.natural @t143))))) % 4.63/4.83 (assume @p185 (forall @t13 (and @t255 (tptp.function @t82)))) % 4.63/4.83 (assume @p186 (and @t266 @t265 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t267 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 4.63/4.83 (assume @p187 (forall @t6 (=> @t249 (tptp.relation @t55)))) % 4.63/4.83 (assume @p188 (forall @t13 @t270)) % 4.63/4.83 (assume @p189 (forall @t6 (=> @t280 (tptp.closed_subset @t114 @t1)))) % 4.63/4.83 (assume @p190 (forall @t6 (=> @t174 (not (tptp.empty @t55))))) % 4.63/4.83 (assume @p191 (forall @t6 (=> @t15 (and @t275 @t281)))) % 4.63/4.83 (assume @p192 (forall @t6 (=> @t17 (and @t274 @t276 @t282)))) % 4.63/4.83 (assume @p193 (forall @t6 (=> @t17 (and @t275 @t281 @t283)))) % 4.63/4.83 (assume @p194 (forall @t6 (=> @t19 (and @t274 @t276 @t282 @t284)))) % 4.63/4.83 (assume @p195 (forall @t6 (=> @t19 (and @t275 @t281 @t283 @t285)))) % 4.63/4.83 (assume @p196 (forall @t6 (=> @t21 (and @t274 @t276 @t282 @t284 (tptp.v5_membered @t66))))) % 4.63/4.83 (assume @p197 (forall @t6 (=> @t21 (and @t275 @t281 @t283 @t285 (tptp.v5_membered @t65))))) % 4.63/4.83 (assume @p198 (forall @t6 (=> @t12 @t286))) % 4.63/4.83 (assume @p199 (forall @t6 (=> @t15 (and @t286 @t287)))) % 4.63/4.83 (assume @p200 (forall @t6 (=> @t17 (and @t286 @t287 @t288)))) % 4.63/4.83 (assume @p201 (forall @t13 (=> @t50 (and @t247 (tptp.function @t223))))) % 4.63/4.83 (assume @p202 (forall @t13 (=> @t32 (and @t272 @t279 @t278 @t277)))) % 4.63/4.83 (assume @p203 (forall @t6 (=> @t249 (tptp.relation @t207)))) % 4.63/4.83 (assume @p204 (forall @t6 (not (tptp.empty @t53)))) % 4.63/4.83 (assume @p205 (forall @t6 (=> (and @t148 @t117 @t220 @t116) @t289))) % 4.63/4.83 (assume @p206 (forall @t6 (=> @t174 (not (tptp.empty @t54))))) % 4.63/4.83 (assume @p207 (forall @t6 (=> @t19 (and @t286 @t287 @t288 @t290)))) % 4.63/4.83 (assume @p208 (forall @t6 (=> @t21 (and @t286 @t287 @t288 @t290 (tptp.v5_membered @t207))))) % 4.63/4.83 (assume @p209 (forall @t6 (=> @t103 (and @t258 (tptp.function @t94))))) % 4.63/4.83 (assume @p210 (forall @t13 (=> @t32 (and (tptp.epsilon_transitive @t198) (tptp.epsilon_connected @t198) (tptp.ordinal @t198))))) % 4.63/4.83 (assume @p211 (and @t267 @t266)) % 4.63/4.83 (assume @p212 (forall @t6 (=> (and @t174 @t242) (not (tptp.empty @t43))))) % 4.63/4.83 (assume @p213 (forall @t6 (=> (and @t148 @t117 @t212 @t116) @t291))) % 4.63/4.83 (assume @p214 (forall @t6 (=> @t292 (and @t259 (tptp.function @t105))))) % 4.63/4.83 (assume @p215 (forall @t13 (=> @t293 (tptp.closed_subset @t185 @t1)))) % 4.63/4.83 (assume @p216 (forall @t13 (=> @t295 (not @t294)))) % 4.63/4.83 (assume @p217 (and @t267 (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))) % 4.63/4.83 (assume @p218 (forall @t13 (=> @t295 (not @t296)))) % 4.63/4.83 (assume @p219 @t298) % 4.63/4.83 (assume @p220 (forall @t13 (=> @t22 (and @t294 (tptp.relation @t97))))) % 4.63/4.83 (assume @p221 (forall @t13 (=> @t22 (and @t296 (tptp.relation @t209))))) % 4.63/4.83 (assume @p222 (forall @t6 (=> (and @t33 @t48) (tptp.finite @t55)))) % 4.63/4.83 (assume @p223 (forall @t6 (=> @t264 (and (tptp.empty @t232) @t248)))) % 4.63/4.83 (assume @p224 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 4.63/4.83 (assume @p225 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 4.63/4.83 (assume @p226 (forall @t45 (=> @t73 (= (tptp.subset_intersection2 @t1 @t2 @t2) @t2)))) % 4.63/4.83 (assume @p227 @t301) % 4.63/4.83 (assume @p228 (forall @t13 (=> @t40 (= (tptp.relation_inverse @t223) @t1)))) % 4.63/4.83 (assume @p229 (forall @t6 (=> @t236 (= (tptp.complements_of_subsets @t1 @t234) @t2)))) % 4.63/4.83 (assume @p230 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 4.63/4.83 (assume @p231 (forall @t13 (=> @t40 (= @t199 (forall @t11 (=> @t302 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 4.63/4.83 (assume @p232 (forall @t13 (not (= @t142 tptp.empty_set)))) % 4.63/4.83 (assume @p233 (forall @t6 (=> @t5 (= (tptp.set_union2 @t142 @t2) @t2)))) % 4.63/4.83 (assume @p234 (forall @t6 (not (and @t303 @t5)))) % 4.63/4.83 (assume @p235 (forall @t6 (=> @t304 @t303))) % 4.63/4.83 (assume @p236 (forall @t6 (=> @t84 (tptp.subset (tptp.relation_dom @t105) @t123)))) % 4.63/4.83 (assume @p237 (forall @t13 (=> @t40 (= @t120 (forall @t129 (=> (and @t128 @t172) @t126)))))) % 4.63/4.83 (assume @p238 (forall @t6 (= (tptp.subset @t142 @t2) @t5))) % 4.63/4.83 (assume @p239 (forall @t6 (=> @t84 (not (and @t305 (tptp.equipotent @t1 @t166) (forall @t106 (=> @t42 (not (tptp.well_orders @t41 @t1))))))))) % 4.63/4.83 (assume @p240 (forall @t6 (= (= @t207 tptp.empty_set) @t86))) % 4.63/4.83 (assume @p241 (forall @t6 (=> @t25 (forall @t106 (=> @t149 @t78))))) % 4.63/4.83 (assume @p242 (forall @t13 (=> @t40 (= @t108 (forall @t95 (=> (and @t128 @t306) @t139)))))) % 4.63/4.83 (assume @p243 (forall @t45 (=> @t86 (or @t78 (tptp.subset @t1 (tptp.set_difference @t2 @t307)))))) % 4.63/4.83 (assume @p244 (forall @t13 (=> @t273 (forall @t11 (=> @t116 (forall @t106 (=> @t58 (= (tptp.in @t41 @t158) @t182)))))))) % 4.63/4.83 (assume @p245 (forall @t13 (=> @t40 (= @t119 (forall @t95 (not (and @t302 (tptp.in @t41 @t107) @t183 @t308 (not @t306)))))))) % 4.63/4.83 (assume @p246 (forall @t6 (= (tptp.subset @t1 @t309) (or @t132 (= @t1 @t309))))) % 4.63/4.83 (assume @p247 (forall @t6 (=> @t5 (tptp.subset @t1 @t310)))) % 4.63/4.83 (assume @p248 (forall @t122 (= (tptp.in @t216 (tptp.cartesian_product2 @t41 @t76)) (and @t311 (tptp.in @t2 @t76))))) % 4.63/4.83 (assume @p249 (forall @t6 (=> @t188 @t312))) % 4.63/4.83 (assume @p250 (forall @t45 (=> @t227 (= @t314 (and (tptp.in @t2 @t202) @t3))))) % 4.63/4.83 (assume @p251 (exists @t13 (and @t174 @t38 @t37 @t32 @t46))) % 4.63/4.83 (assume @p252 (exists @t13 (and @t174 @t33))) % 4.63/4.83 (assume @p253 (exists @t13 @t103)) % 4.63/4.83 (assume @p254 (forall @t6 (exists @t106 (and @t151 @t42 @t205 @t131)))) % 4.63/4.83 (assume @p255 (exists @t13 (and @t174 @t12 @t15 @t17 @t19 @t21))) % 4.63/4.83 (assume @p256 (exists @t13 @t52)) % 4.63/4.83 (assume @p257 (exists @t13 (and @t38 @t37 @t32 @t211))) % 4.63/4.83 (assume @p258 (exists @t13 (and @t40 @t36 @t49 @t22))) % 4.63/4.83 (assume @p259 (exists @t13 (and @t22 @t40))) % 4.63/4.83 (assume @p260 (forall @t13 (=> @t174 (exists @t11 (and @t25 @t242))))) % 4.63/4.83 (assume @p261 (forall @t13 (=> @t293 (exists @t11 (and @t116 @t212))))) % 4.63/4.83 (assume @p262 (exists @t13 @t22)) % 4.63/4.83 (assume @p263 (forall @t13 (exists @t11 (and @t25 @t173 @t84 @t125 @t315 @t31 @t30 @t29 @t20 @t48)))) % 4.63/4.83 (assume @p264 (exists @t13 @t51)) % 4.63/4.83 (assume @p265 (exists @t13 (and @t40 @t36 @t49 @t22 @t38 @t37 @t32))) % 4.63/4.83 (assume @p266 (forall @t6 (exists @t106 (and @t151 @t42 @t205)))) % 4.63/4.83 (assume @p267 (exists @t13 @t295)) % 4.63/4.83 (assume @p268 (forall @t13 (exists @t11 (and @t25 @t173)))) % 4.63/4.83 (assume @p269 (forall @t13 (=> @t293 (exists @t11 (and @t116 @t212 @t220))))) % 4.63/4.83 (assume @p270 (exists @t13 @t174)) % 4.63/4.83 (assume @p271 (forall @t13 (=> @t174 (exists @t11 (and @t25 @t242 @t48))))) % 4.63/4.83 (assume @p272 (exists @t13 @t50)) % 4.63/4.83 (assume @p273 (exists @t13 (and @t174 @t38 @t37 @t32))) % 4.63/4.83 (assume @p274 (exists @t13 @t269)) % 4.63/4.83 (assume @p275 (exists @t13 (and @t157 @t63))) % 4.63/4.83 (assume @p276 (exists @t13 (and @t40 @t268 @t36))) % 4.63/4.83 (assume @p277 (forall @t13 (=> @t273 (exists @t11 (and @t116 @t242))))) % 4.63/4.83 (assume @p278 (forall @t13 (=> @t293 (exists @t11 (and @t116 @t220))))) % 4.63/4.83 (assume @p279 (forall @t244 (=> @t243 (= @t240 (tptp.apply_binary @t76 @t88 @t177))))) % 4.63/4.83 (assume @p280 (forall @t45 (=> @t64 (= @t56 @t137)))) % 4.63/4.83 (assume @p281 (forall @t45 (=> @t70 (= @t67 @t169)))) % 4.63/4.83 (assume @p282 (forall @t45 (=> @t151 (= @t134 @t202)))) % 4.63/4.83 (assume @p283 (forall @t45 (=> @t151 (= @t251 @t201)))) % 4.63/4.83 (assume @p284 (forall @t6 (=> @t236 (= @t252 @t310)))) % 4.63/4.83 (assume @p285 (forall @t45 (=> @t73 (= @t71 @t316)))) % 4.63/4.83 (assume @p286 (forall @t6 (=> @t236 (= @t256 (tptp.set_meet @t2))))) % 4.63/4.83 (assume @p287 (forall @t45 (=> @t73 (= @t257 @t317)))) % 4.63/4.83 (assume @p288 (forall @t45 (= @t135 @t151))) % 4.63/4.83 (assume @p289 (forall @t6 (=> @t75 (= @t74 @t86)))) % 4.63/4.83 (assume @p290 (forall @t6 (= @t206 (tptp.are_equipotent @t1 @t2)))) % 4.63/4.83 (assume @p291 (forall @t6 (=> @t75 (tptp.ordinal_subset @t1 @t1)))) % 4.63/4.83 (assume @p292 (forall @t6 (tptp.subset @t1 @t1))) % 4.63/4.83 (assume @p293 (forall @t6 (tptp.equipotent @t1 @t1))) % 4.63/4.83 (assume @p294 (forall @t6 (=> @t335 (=> @t334 (exists @t106 (and @t42 @t205 (forall @t93 (= @t92 (and @t154 @t154 (exists @t322 (and (= @t76 @t319) (tptp.in @t88 @t319) (forall @t321 (=> @t320 (tptp.in (tptp.ordered_pair @t88 @t318) @t2)))))))))))))) % 4.63/4.83 (assume @p295 (forall @t13 (=> @t338 (exists @t11 (and @t84 @t125 (forall @t81 (= @t80 (and @t78 @t78 (= @t76 @t307))))))))) % 4.63/4.83 (assume @p296 (forall @t13 (=> (exists @t11 (and @t29 @t3)) (exists @t11 (and @t29 @t3 (forall @t106 (=> @t339 (=> @t78 (tptp.ordinal_subset @t2 @t41))))))))) % 4.63/4.83 (assume @p297 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t13 (=> (tptp.element @t1 (tptp.powerset @t363)) (not (and @t155 (forall @t11 (not (and @t3 (forall @t106 (=> (and @t78 @t362) (= @t41 @t2))))))))))) (forall @t100 (=> @t346 (=> @t361 (=> (tptp.in @t360 tptp.omega) (forall @t328 (=> (tptp.element @t325 (tptp.powerset (tptp.powerset @t360))) (not (and (not (= @t325 tptp.empty_set)) (forall @t327 (not (and @t326 (forall @t322 (=> (and (tptp.in @t319 @t325) (tptp.subset @t324 @t319)) (= @t319 @t324)))))))))))))) (forall @t100 (=> @t346 (=> (and (tptp.being_limit_ordinal @t76) (forall @t321 (=> (tptp.ordinal @t318) (=> (tptp.in @t318 @t76) (=> (tptp.in @t318 tptp.omega) (forall @t359 (=> (tptp.element @t355 (tptp.powerset (tptp.powerset @t318))) (not (and (not (= @t355 tptp.empty_set)) (forall @t358 (not (and @t357 (forall @t356 (=> (and (tptp.in @t354 @t355) (tptp.subset @t353 @t354)) (= @t354 @t353))))))))))))))) (or (= @t76 tptp.empty_set) (=> @t345 (forall @t352 (=> (tptp.element @t349 @t343) (not (and (not (= @t349 tptp.empty_set)) (forall @t351 (not (and (tptp.in @t347 @t349) (forall @t350 (=> (and (tptp.in @t348 @t349) (tptp.subset @t347 @t348)) (= @t348 @t347)))))))))))))))) (forall @t100 (=> @t346 (=> @t345 (forall @t344 (=> (tptp.element @t342 @t343) (not (and (not (= @t342 tptp.empty_set)) (forall (@list @t340) (not (and (tptp.in @t340 @t342) (forall (@list @t341) (=> (and (tptp.in @t341 @t342) (tptp.subset @t340 @t341)) (= @t341 @t340))))))))))))))) % 4.63/4.83 (assume @p298 (forall @t45 (=> @t367 (exists @t100 (and @t366 (forall @t180 (= (tptp.in @t178 @t76) (and @t104 @t365 (tptp.in (tptp.ordered_pair @t224 @t364) @t2))))))))) % 4.63/4.83 (assume @p299 (forall @t6 (=> @t335 (=> @t334 (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t104 @t104 (exists @t322 (and (= @t88 @t319) @t369 @t368))))))))))) % 4.63/4.83 (assume @p300 (forall @t6 (=> @t335 (forall @t106 (=> (forall @t380 (=> (and @t323 (exists @t379 (and (= @t378 @t88) @t377 (exists @t327 (and (= @t330 @t324) (tptp.in @t325 @t324) (forall @t322 (=> @t376 (tptp.in (tptp.ordered_pair @t325 @t319) @t2))))))) @t375 (exists @t374 (and (= @t373 @t177) (tptp.in @t318 @t1) (exists @t358 (and (= @t318 @t353) (tptp.in @t355 @t353) (forall @t356 (=> (tptp.in @t354 @t353) (tptp.in (tptp.ordered_pair @t355 @t354) @t2)))))))) @t372)) (exists @t100 (forall @t98 (= @t121 (exists @t231 (and (tptp.in @t177 @t371) @t370 (exists (@list @t349 @t347) (and (= (tptp.ordered_pair @t349 @t347) @t88) (tptp.in @t349 @t1) (exists @t350 (and (= @t349 @t348) (tptp.in @t347 @t348) (forall @t344 (=> (tptp.in @t342 @t348) (tptp.in (tptp.ordered_pair @t347 @t342) @t2))))))))))))))))) % 4.63/4.83 (assume @p301 (forall @t13 (=> @t338 (exists @t11 (forall @t106 (= @t149 (exists @t100 (and @t154 @t154 (= @t41 (tptp.singleton @t76)))))))))) % 4.63/4.83 (assume @p302 (forall @t6 (=> (forall @t233 (=> (and @t77 (exists @t385 (and (= @t384 @t76) @t365 (= @t330 (tptp.singleton @t177)))) @t383 (exists (@list @t325 @t324) (and (= (tptp.ordered_pair @t325 @t324) @t88) @t382 (= @t324 (tptp.singleton @t325))))) @t323)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t43) @t381 (exists (@list @t319 @t318) (and (= (tptp.ordered_pair @t319 @t318) @t76) (tptp.in @t319 @t1) (= @t318 (tptp.singleton @t319)))))))))))) % 4.63/4.83 (assume @p303 (forall @t13 (=> @t32 (=> (forall @t129 (=> (and @t139 (exists @t98 (and @t388 @t383 (=> (tptp.in @t88 tptp.omega) (forall @t231 (=> (tptp.element @t177 (tptp.powerset (tptp.powerset @t88))) @t387))))) @t170 (exists @t327 (and (tptp.ordinal @t324) (= @t76 @t324) (=> (tptp.in @t324 tptp.omega) (forall @t322 (=> (tptp.element @t319 (tptp.powerset (tptp.powerset @t324))) (not (and (not (= @t319 tptp.empty_set)) (forall @t321 (not (and @t320 (forall @t359 (=> (and (tptp.in @t355 @t319) (tptp.subset @t318 @t355)) (= @t355 @t318)))))))))))))) @t77)) (exists @t11 (forall @t106 (= @t149 (exists @t100 (and (tptp.in @t76 @t143) @t386 (exists @t358 (and (tptp.ordinal @t353) (= @t41 @t353) (=> (tptp.in @t353 tptp.omega) (forall @t356 (=> (tptp.element @t354 (tptp.powerset (tptp.powerset @t353))) (not (and (not (= @t354 tptp.empty_set)) (forall @t352 (not (and (tptp.in @t349 @t354) (forall @t351 (=> (and (tptp.in @t347 @t354) (tptp.subset @t349 @t347)) (= @t347 @t349)))))))))))))))))))))) % 4.63/4.83 (assume @p304 (forall @t6 (=> @t280 (=> (forall @t233 (=> (and @t77 (exists @t231 (and (tptp.element @t177 @t112) (= @t177 @t76) (tptp.closed_subset @t177 @t1) @t389)) @t383 (exists @t332 (and (tptp.element @t330 @t112) (= @t330 @t88) (tptp.closed_subset @t330 @t1) (tptp.subset @t2 @t88)))) @t323)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t390 @t381 (exists @t328 (and (tptp.element @t325 @t112) (= @t325 @t76) (tptp.closed_subset @t325 @t1) @t389))))))))))) % 4.63/4.83 (assume @p305 (forall @t6 (=> @t392 (=> (forall @t233 (=> (and @t77 @t391 @t383 (tptp.in (tptp.set_difference @t185 @t88) @t2)) @t323)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t390 @t381 @t391))))))))) % 4.63/4.83 (assume @p306 (forall @t6 (=> @t393 (=> (forall @t233 (=> (and @t77 (exists @t231 (and @t179 (= @t76 (tptp.set_difference @t177 @t142)))) @t383 (exists @t332 (and (tptp.in @t330 @t2) (= @t88 (tptp.set_difference @t330 @t142))))) @t323)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t24) @t381 (exists @t328 (and (tptp.in @t325 @t2) (= @t76 (tptp.set_difference @t325 @t142))))))))))))) % 4.63/4.83 (assume @p307 (forall @t45 (=> @t367 (=> (forall @t380 (=> (and @t323 (exists @t379 (and (= @t88 @t378) (tptp.in (tptp.ordered_pair @t395 (tptp.apply @t41 @t325)) @t2))) @t375 (exists (@list @t324 @t319) (and (= @t177 (tptp.ordered_pair @t324 @t319)) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t324) (tptp.apply @t41 @t319)) @t2)))) @t372)) (exists @t100 (forall @t98 (= @t121 (exists @t231 (and (tptp.in @t177 @t394) @t370 (exists @t374 (and (= @t88 @t373) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t318) (tptp.apply @t41 @t355)) @t2)))))))))))) % 4.63/4.83 (assume @p308 (forall @t13 (=> (forall @t129 (=> (and @t139 @t339 @t170 @t346) @t77)) (exists @t11 (forall @t106 (= @t149 (exists @t100 (and @t154 @t386 @t339)))))))) % 4.63/4.83 (assume @p309 (forall @t45 (=> @t398 (=> (forall @t380 (=> (and @t323 @t396 @t375 (tptp.in (tptp.relation_image @t41 @t177) @t2)) @t372)) (exists @t100 (forall @t98 (= @t121 (exists @t231 (and (tptp.in @t177 @t397) @t370 @t396))))))))) % 4.63/4.83 (assume @p310 (forall @t6 (=> @t29 (=> (forall @t233 (=> (and @t77 (exists @t231 (and (tptp.ordinal @t177) @t375 @t365)) @t383 (exists @t332 (and (tptp.ordinal @t330) (= @t88 @t330) @t377))) @t323)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t399) @t381 (exists @t328 (and (tptp.ordinal @t325) (= @t76 @t325) @t382))))))))))) % 4.63/4.83 (assume @p311 (forall @t6 (=> @t335 (forall @t106 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t371) (exists @t385 (and (= @t384 @t88) @t365 (exists @t328 (and (= @t177 @t325) (tptp.in @t330 @t325) (forall @t327 (=> @t326 (tptp.in (tptp.ordered_pair @t330 @t324) @t2))))))))))))))) % 4.63/4.83 (assume @p312 (forall @t6 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t43) (exists @t180 (and (= @t178 @t76) @t104 (= @t177 (tptp.singleton @t88)))))))))) % 4.63/4.83 (assume @p313 (forall @t13 (=> @t32 (exists @t11 (forall @t106 (= @t149 (and (tptp.in @t41 @t143) (exists @t100 (and @t346 @t77 @t361))))))))) % 4.63/4.83 (assume @p314 (forall @t6 (=> @t280 (exists @t106 (forall @t100 (= @t99 (and @t401 @t400))))))) % 4.63/4.83 (assume @p315 (forall @t6 (=> @t392 (exists @t106 (forall @t100 (= @t99 (and @t401 @t391))))))) % 4.63/4.83 (assume @p316 (forall @t6 (=> @t393 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t24) (exists @t98 (and @t96 (= @t76 (tptp.set_difference @t88 @t142))))))))))) % 4.63/4.83 (assume @p317 (forall @t45 (=> @t367 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t394) (exists @t385 (and (= @t88 @t384) (tptp.in (tptp.ordered_pair @t364 @t395) @t2)))))))))) % 4.63/4.83 (assume @p318 (forall @t13 (exists @t11 (forall @t106 (= @t149 (and @t78 @t339)))))) % 4.63/4.83 (assume @p319 (forall @t45 (=> @t398 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t397) @t396))))))) % 4.63/4.83 (assume @p320 (forall @t6 (=> @t29 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t399) (exists @t98 (and @t388 @t323 @t104))))))))) % 4.63/4.83 (assume @p321 (forall @t6 (=> @t335 (=> (and (forall @t233 (=> (and @t78 @t333 @t329) @t323)) (forall @t106 (not (and @t78 (forall @t100 (not (exists @t322 (and (= @t41 @t319) @t369 @t368)))))))) (exists @t106 (and @t42 @t205 @t203 (forall @t100 (=> @t154 (exists @t359 (and (= @t76 @t355) (tptp.in @t225 @t355) (forall @t358 (=> @t357 (tptp.in (tptp.ordered_pair @t225 @t353) @t2))))))))))))) % 4.63/4.83 (assume @p322 (forall @t13 (=> (and (forall @t129 (=> (and @t3 @t337 @t336) @t77)) (forall @t11 (not (and @t3 (forall @t106 (not @t337)))))) @t404))) % 4.63/4.83 (assume @p323 (=> (forall @t13 (=> @t32 (=> (forall @t11 (=> @t29 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t106 (=> (tptp.element @t41 (tptp.powerset @t250)) (not (and @t189 (forall @t100 (not (and @t99 (forall @t98 (=> (and (tptp.in @t88 @t41) (tptp.subset @t76 @t88)) @t381))))))))))))) (=> @t405 (forall @t231 (=> (tptp.element @t177 @t235) @t387)))))) (forall @t13 (=> @t32 (=> @t405 (forall @t327 (=> (tptp.element @t324 @t235) (not (and (not (= @t324 tptp.empty_set)) (forall @t322 (not (and @t376 (forall @t321 (=> (and (tptp.in @t318 @t324) (tptp.subset @t319 @t318)) (= @t318 @t319))))))))))))))) % 4.63/4.83 (assume @p324 (forall @t13 @t404)) % 4.63/4.83 (assume @p325 (forall @t6 (=> @t280 (exists @t106 (and @t407 (forall @t100 (=> @t406 (= @t99 @t400)))))))) % 4.63/4.83 (assume @p326 (forall @t6 (=> @t392 (exists @t106 (and @t407 (forall @t100 (=> @t406 (= @t99 @t391)))))))) % 4.63/4.83 (assume @p327 (forall @t6 (=> @t228 (tptp.disjoint @t2 @t1)))) % 4.63/4.83 (assume @p328 (forall @t6 (=> @t206 (tptp.equipotent @t2 @t1)))) % 4.63/4.83 (assume @p329 (forall @t13 (tptp.in @t1 @t143))) % 4.63/4.83 (assume @p330 (forall @t122 (not (and (= @t53 (tptp.unordered_pair @t41 @t76)) (not @t408) (not (= @t1 @t76)))))) % 4.63/4.83 (assume @p331 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t41))) (and @t5 (tptp.in @t1 @t201)))))) % 4.63/4.83 (assume @p332 (forall @t6 (=> @t84 (tptp.subset @t409 @t1)))) % 4.63/4.83 (assume @p333 (forall @t6 (=> @t84 (tptp.subset @t105 @t2)))) % 4.63/4.83 (assume @p334 (forall @t6 (=> @t84 (tptp.subset @t409 @t124)))) % 4.63/4.83 (assume @p335 (forall @t45 (=> @t86 (and (tptp.subset @t371 (tptp.cartesian_product2 @t2 @t41)) (tptp.subset (tptp.cartesian_product2 @t41 @t1) (tptp.cartesian_product2 @t41 @t2)))))) % 4.63/4.83 (assume @p336 (forall @t6 (=> @t84 (= @t409 (tptp.set_intersection2 @t124 @t1))))) % 4.63/4.83 (assume @p337 (forall @t122 (=> (and @t86 @t165) (tptp.subset @t371 (tptp.cartesian_product2 @t2 @t76))))) % 4.63/4.83 (assume @p338 (forall @t45 (=> @t135 (and (tptp.subset @t202 @t1) (tptp.subset @t201 @t2))))) % 4.63/4.83 (assume @p339 (forall @t6 (=> @t86 (= @t55 @t2)))) % 4.63/4.83 (assume @p340 (forall @t13 (exists @t11 (and @t5 @t412 (forall @t106 (=> @t149 (tptp.in @t411 @t2))) @t410)))) % 4.63/4.83 (assume @p341 (forall @t6 (=> (and @t86 @t48) @t33))) % 4.63/4.83 (assume @p342 (forall @t45 (=> @t42 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t41) @t2) (tptp.relation_rng_restriction @t1 @t413))))) % 4.63/4.83 (assume @p343 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_image @t41 @t2)) (exists @t100 (and (tptp.in @t76 @t202) (tptp.in (tptp.ordered_pair @t76 @t1) @t41) @t91)))))) % 4.63/4.83 (assume @p344 (forall @t6 (=> @t84 (tptp.subset @t414 @t124)))) % 4.63/4.83 (assume @p345 (forall @t6 (=> @t292 (tptp.subset @t416 @t1)))) % 4.63/4.83 (assume @p346 (forall @t6 (=> @t84 (= @t414 (tptp.relation_image @t2 @t417))))) % 4.63/4.83 (assume @p347 (forall @t6 (=> @t84 (=> (tptp.subset @t1 @t123) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t414)))))) % 4.63/4.83 (assume @p348 (forall @t13 (=> @t40 (= (tptp.relation_image @t1 @t97) @t209)))) % 4.63/4.83 (assume @p349 (forall @t6 (=> @t292 (=> @t418 (= @t416 @t1))))) % 4.63/4.83 (assume @p350 (forall @t122 (=> @t421 (=> (tptp.subset @t420 @t2) @t419)))) % 4.63/4.83 (assume @p351 (forall @t13 (=> @t157 (forall @t11 (=> @t116 (= (tptp.subset_intersection2 @t57 @t2 @t185) @t2)))))) % 4.63/4.83 (assume @p352 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t422 (tptp.relation_image @t2 @t209))))))) % 4.63/4.83 (assume @p353 (forall @t45 (=> @t42 (= (tptp.in @t1 @t423) (exists @t100 (and (tptp.in @t76 @t201) (tptp.in (tptp.ordered_pair @t1 @t76) @t41) @t91)))))) % 4.63/4.83 (assume @p354 (forall @t6 (=> @t84 (tptp.subset @t415 @t123)))) % 4.63/4.83 (assume @p355 (forall @t122 (=> @t421 (=> @t86 @t419)))) % 4.63/4.83 (assume @p356 (forall @t45 (=> @t42 (= (tptp.in @t1 @t424) (and @t311 (tptp.in @t1 @t221)))))) % 4.63/4.83 (assume @p357 (forall @t6 (=> @t84 (not (and @t155 @t418 (= @t415 tptp.empty_set)))))) % 4.63/4.83 (assume @p358 (forall @t45 (=> @t42 (=> @t86 (tptp.subset (tptp.relation_inverse_image @t41 @t1) @t423))))) % 4.63/4.83 (assume @p359 (forall @t6 (=> @t292 (=> @t33 (tptp.finite @t414))))) % 4.63/4.83 (assume @p360 @t428) % 4.63/4.83 (assume @p361 (forall @t6 (=> @t84 (= @t429 (tptp.relation_dom_restriction @t105 @t1))))) % 4.63/4.83 (assume @p362 (forall @t6 (tptp.subset @t66 @t1))) % 4.63/4.83 (assume @p363 (forall @t13 (=> @t33 (forall @t11 (=> @t236 (not (and @t175 (forall @t106 (not (and @t149 (forall @t100 (=> (and @t91 @t165) @t386)))))))))))) % 4.63/4.83 (assume @p364 (forall @t6 (=> @t84 (= @t429 (tptp.relation_rng_restriction @t1 @t430))))) % 4.63/4.83 (assume @p365 (forall @t45 (=> @t42 (=> (tptp.in @t1 (tptp.relation_field @t424)) (and @t432 @t5))))) % 4.63/4.83 (assume @p366 (forall @t45 (=> (and @t86 @t433) (tptp.subset @t1 @t316)))) % 4.63/4.83 (assume @p367 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 4.63/4.83 (assume @p368 (forall @t6 (=> @t5 @t434))) % 4.63/4.83 (assume @p369 (forall @t45 (=> (and @t86 @t362) @t433))) % 4.63/4.83 (assume @p370 (= @t363 (tptp.singleton tptp.empty_set))) % 4.63/4.83 (assume @p371 (forall @t45 (=> @t42 (=> @t436 (and @t435 (tptp.in @t2 @t201)))))) % 4.63/4.83 (assume @p372 (forall @t6 (=> @t84 (and (tptp.subset @t437 @t166) (tptp.subset @t437 @t1))))) % 4.63/4.83 (assume @p373 (forall @t6 (=> @t292 (forall @t106 (=> @t227 (= @t440 (and @t435 (tptp.in @t438 @t123)))))))) % 4.63/4.83 (assume @p374 (forall @t122 (=> @t442 (forall @t98 (=> (and (tptp.relation @t88) (tptp.function @t88)) (=> @t78 (or @t133 (= (tptp.apply (tptp.relation_composition @t76 @t88) @t41) (tptp.apply @t88 @t441))))))))) % 4.63/4.83 (assume @p375 (forall @t13 (=> @t38 (forall @t11 (=> @t29 (=> @t8 @t5)))))) % 4.63/4.83 (assume @p376 (forall @t13 (=> @t40 (tptp.subset @t1 (tptp.cartesian_product2 @t97 @t209))))) % 4.63/4.83 (assume @p377 (forall @t45 (=> @t42 (tptp.subset (tptp.fiber (tptp.relation_restriction @t41 @t1) @t2) (tptp.fiber @t41 @t2))))) % 4.63/4.83 (assume @p378 (forall @t6 (=> @t292 (forall @t106 (=> @t227 (=> @t440 (= (tptp.apply @t439 @t1) (tptp.apply @t2 @t438)))))))) % 4.63/4.83 (assume @p379 (forall @t13 (=> @t157 (forall @t11 (=> @t116 (= (tptp.subset_difference @t57 @t185 @t219) @t2)))))) % 4.63/4.83 (assume @p380 (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))))) % 4.63/4.83 (assume @p381 (forall @t6 (=> @t84 (=> @t443 (tptp.reflexive @t429))))) % 4.63/4.83 (assume @p382 (forall @t6 (=> @t292 (forall @t106 (=> @t227 (=> (tptp.in @t1 @t123) (= (tptp.apply (tptp.relation_composition @t2 @t41) @t1) (tptp.apply @t41 (tptp.apply @t2 @t1))))))))) % 4.63/4.83 (assume @p383 (forall @t13 (=> (and @t63 @t69 @t229 @t230) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (tptp.below @t1 @t67 @t2)))))))) % 4.63/4.83 (assume @p384 (forall @t6 (=> @t29 (=> @t5 @t32)))) % 4.63/4.83 (assume @p385 (forall @t45 (=> @t135 (= (forall @t100 (not (and @t91 (forall @t98 (not (tptp.in @t118 @t41)))))) (= @t251 @t2))))) % 4.63/4.83 (assume @p386 (forall @t6 (=> @t84 (=> @t444 (tptp.connected @t429))))) % 4.63/4.83 (assume @p387 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (not (and @t304 @t237 @t4))))))) % 4.63/4.83 (assume @p388 (forall @t6 (=> @t84 (=> @t445 (tptp.transitive @t429))))) % 4.63/4.83 (assume @p389 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> @t86 (and (tptp.subset @t97 @t123) (tptp.subset @t209 @t124)))))))) % 4.63/4.83 (assume @p390 (forall @t6 (=> @t84 (=> @t446 (tptp.antisymmetric @t429))))) % 4.63/4.83 (assume @p391 (forall @t6 (=> @t84 (=> @t449 (and @t448 @t447))))) % 4.63/4.83 (assume @p392 (forall @t13 (=> @t103 (=> (tptp.finite @t97) (tptp.finite @t209))))) % 4.63/4.83 (assume @p393 (forall @t13 (=> (and @t63 @t61 @t60) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (=> (and @t181 (tptp.below @t1 @t41 @t2)) @t139)))))))) % 4.63/4.83 (assume @p394 (forall @t13 (exists @t11 (and @t84 @t449)))) % 4.63/4.83 (assume @p395 (forall @t45 (=> @t86 (tptp.subset (tptp.set_intersection2 @t1 @t41) @t316)))) % 4.63/4.83 (assume @p396 (forall @t13 (=> @t174 (not (and (forall @t11 (not (and @t3 @t133))) (forall @t11 (=> @t292 (not (and @t403 (forall @t106 (=> @t78 (tptp.in @t402 @t41)))))))))))) % 4.63/4.83 (assume @p397 (forall @t6 (=> @t86 (= @t66 @t1)))) % 4.63/4.83 (assume @p398 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t220 @t289)))))) % 4.63/4.83 (assume @p399 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 4.63/4.83 (assume @p400 (forall @t6 (=> @t434 (or @t173 @t5)))) % 4.63/4.83 (assume @p401 (forall @t6 (=> (forall @t106 (= @t78 @t149)) @t87))) % 4.63/4.83 (assume @p402 (forall @t13 (tptp.reflexive @t167))) % 4.63/4.83 (assume @p403 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 4.63/4.83 (assume @p404 (forall @t45 (=> @t42 (=> @t436 (and @t432 (tptp.in @t2 @t431)))))) % 4.63/4.83 (assume @p405 @t453) % 4.63/4.83 (assume @p406 (forall @t13 (=> (forall @t11 (=> @t3 (and @t29 @t85))) @t32))) % 4.63/4.83 (assume @p407 (forall @t6 (=> @t84 (=> @t454 (tptp.well_founded_relation @t429))))) % 4.63/4.83 (assume @p408 (forall @t6 (=> @t29 (not (and @t86 @t155 (forall @t106 (=> @t339 (not (and @t78 (forall @t100 (=> @t346 (=> @t154 (tptp.ordinal_subset @t41 @t76))))))))))))) % 4.63/4.83 (assume @p409 (forall @t6 (=> @t84 (=> @t305 @t447)))) % 4.63/4.83 (assume @p410 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (= @t5 (tptp.ordinal_subset @t143 @t2))))))) % 4.63/4.83 (assume @p411 (forall @t45 (=> @t86 (tptp.subset (tptp.set_difference @t1 @t41) @t317)))) % 4.63/4.83 (assume @p412 (forall @t122 (=> (= @t216 @t79) (and @t408 @t170)))) % 4.63/4.83 (assume @p413 (forall @t6 (=> @t292 (= @t83 (and @t403 (forall @t106 (=> @t78 (= @t402 @t41)))))))) % 4.63/4.83 (assume @p414 (forall @t6 (=> @t3 (= (tptp.apply @t82 @t2) @t2)))) % 4.63/4.83 (assume @p415 (forall @t6 (tptp.subset @t207 @t1))) % 4.63/4.83 (assume @p416 (forall @t13 (=> @t40 (and (= @t209 (tptp.relation_dom @t223)) (= @t97 (tptp.relation_rng @t223)))))) % 4.63/4.83 (assume @p417 (forall @t45 (= (tptp.subset @t53 @t41) (and @t311 @t184)))) % 4.63/4.83 (assume @p418 (forall @t6 (=> @t84 (=> (and @t305 (tptp.subset @t1 @t166)) @t448)))) % 4.63/4.83 (assume @p419 (forall @t6 (= @t455 @t55))) % 4.63/4.83 (assume @p420 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 4.63/4.83 (assume @p421 (forall @t45 (not (and @t5 @t184 @t78)))) % 4.63/4.83 (assume @p422 (forall @t6 (= @t312 @t86))) % 4.63/4.83 (assume @p423 (forall @t13 (tptp.transitive @t167))) % 4.63/4.83 (assume @p424 (forall @t6 (and (not (and @t457 (forall @t106 (not @t456)))) (not (and (exists @t106 @t456) @t228))))) % 4.63/4.83 (assume @p425 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t132))) % 4.63/4.83 (assume @p426 (forall @t6 (= (tptp.set_difference @t55 @t2) @t207))) % 4.63/4.83 (assume @p427 (forall @t13 (=> @t32 (= @t211 (forall @t11 (=> @t29 (=> @t3 (tptp.in @t399 @t1)))))))) % 4.63/4.83 (assume @p428 (forall @t13 (=> @t32 (and (not (and (not @t211) (forall @t11 (=> @t29 (not @t458))))) (not (and (exists @t11 (and @t29 @t458)) @t211)))))) % 4.63/4.83 (assume @p429 (forall @t6 (=> @t25 (forall @t106 (=> @t72 (= @t460 (tptp.subset @t2 @t459))))))) % 4.63/4.83 (assume @p430 (forall @t13 (=> @t293 (forall @t11 (=> @t147 (=> (forall @t106 (=> @t115 (=> @t149 (tptp.closed_subset @t41 @t1)))) (tptp.closed_subset (tptp.meet_of_subsets @t57 @t2) @t1))))))) % 4.63/4.83 (assume @p431 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (tptp.subset @t461 @t97)))))) % 4.63/4.83 (assume @p432 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (tptp.subset @t159 @t2)))))) % 4.63/4.83 (assume @p433 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (forall @t106 (=> (tptp.in @t41 @t57) (= (tptp.in @t41 @t114) (forall @t100 (=> @t406 (=> @t462 @t153))))))))))) % 4.63/4.83 (assume @p434 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (tptp.subset @t422 @t124)))))) % 4.63/4.83 (assume @p435 (forall @t6 (=> @t86 (= @t2 @t455)))) % 4.63/4.83 (assume @p436 (forall @t122 (=> @t442 (=> @t175 (forall @t98 (= (tptp.in @t88 (tptp.relation_inverse_image @t76 @t41)) (and @t104 (tptp.in (tptp.apply @t76 @t88) @t41)))))))) % 4.63/4.83 (assume @p437 (forall @t13 (=> @t293 (forall @t11 (=> @t116 (exists @t106 (and @t407 (forall @t100 (=> @t406 (= @t99 @t462))) (= @t114 (tptp.meet_of_subsets @t57 @t41))))))))) % 4.63/4.83 (assume @p438 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> (tptp.subset @t209 @t123) (= @t461 @t97))))))) % 4.63/4.83 (assume @p439 (forall @t6 (=> @t236 (not (and @t175 (= @t234 tptp.empty_set)))))) % 4.63/4.83 (assume @p440 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> (tptp.subset @t97 @t124) (= (tptp.relation_rng @t263) @t209))))))) % 4.63/4.83 (assume @p441 (forall @t6 (=> @t236 (=> @t175 (= (tptp.subset_difference @t1 @t197 @t252) (tptp.meet_of_subsets @t1 @t234)))))) % 4.63/4.83 (assume @p442 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (tptp.subset @t2 @t114)))))) % 4.63/4.83 (assume @p443 (forall @t6 (=> @t236 (=> @t175 (= (tptp.union_of_subsets @t1 @t234) (tptp.subset_difference @t1 @t197 @t256)))))) % 4.63/4.83 (assume @p444 (forall @t6 (= (tptp.set_difference @t1 @t207) @t66))) % 4.63/4.83 (assume @p445 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t227 (=> @t226 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t41)))))))))) % 4.63/4.83 (assume @p446 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 4.63/4.83 (assume @p447 (forall @t45 (=> (and @t5 @t463) (tptp.element @t1 @t41)))) % 4.63/4.83 (assume @p448 (forall @t13 (=> @t32 (tptp.connected @t167)))) % 4.63/4.83 (assume @p449 (forall @t6 (and (not (and @t457 (forall @t106 (not @t464)))) (not (and (exists @t106 @t464) @t228))))) % 4.63/4.83 (assume @p450 (forall @t13 (=> @t155 (forall @t11 (=> @t25 (forall @t106 (=> (tptp.element @t41 @t1) (=> @t182 (tptp.in @t41 @t213))))))))) % 4.63/4.83 (assume @p451 (forall @t13 (=> @t293 (forall @t11 (=> @t116 @t297))))) % 4.63/4.83 (assume @p452 @t473) % 4.63/4.83 (assume @p453 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t227 (=> @t226 (and (=> @t199 @t443) (=> @t120 @t445) (=> @t119 @t444) (=> @t108 @t446) (=> @t176 @t454)))))))))) % 4.63/4.83 (assume @p454 (forall @t13 (=> @t103 (=> @t49 (forall @t11 (=> @t292 (= (= @t2 @t238) (and (= @t123 @t209) (forall @t81 (and (=> @t474 @t208) (=> @t208 @t474))))))))))) % 4.63/4.83 (assume @p455 (forall @t45 (=> @t72 (not (and (tptp.in @t2 @t459) @t184))))) % 4.63/4.83 (assume @p456 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t227 (=> (and @t200 @t226) @t305)))))))) % 4.63/4.83 (assume @p457 (forall @t13 (=> @t103 (=> @t49 (and (= @t209 (tptp.relation_dom @t238)) (= @t97 (tptp.relation_rng @t238))))))) % 4.63/4.83 (assume @p458 @t493) % 4.63/4.83 (assume @p459 (forall @t13 (=> @t40 (=> (forall @t95 @t308) @t132)))) % 4.63/4.83 (assume @p460 (forall @t6 (=> @t292 (=> (and @t315 (tptp.in @t1 @t124)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t494 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t494 @t2) @t1))))))) % 4.63/4.83 (assume @p461 (forall @t45 (not (and @t5 @t463 (tptp.empty @t41))))) % 4.63/4.83 (assume @p462 (forall @t13 (=> @t40 (= @t176 (tptp.is_well_founded_in @t1 @t107))))) % 4.63/4.83 (assume @p463 (forall @t13 (tptp.antisymmetric @t167))) % 4.63/4.83 (assume @p464 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 4.63/4.83 (assume @p465 (forall @t6 (not (and @t86 @t7)))) % 4.63/4.83 (assume @p466 (forall @t13 (=> @t103 (=> @t49 (tptp.one_to_one @t238))))) % 4.63/4.83 (assume @p467 (forall @t45 (=> (and @t86 @t460) (tptp.disjoint @t1 @t41)))) % 4.63/4.83 (assume @p468 (forall @t13 (=> @t40 (=> (or @t496 @t495) @t132)))) % 4.63/4.83 (assume @p469 (forall @t13 (=> @t40 (= @t496 @t495)))) % 4.63/4.83 (assume @p470 (forall @t6 (= (= (tptp.set_difference @t1 @t309) @t1) @t4))) % 4.63/4.83 (assume @p471 (forall @t6 (=> @t292 (forall @t106 (=> @t227 (= (= @t2 @t313) (and (= @t123 (tptp.set_intersection2 @t202 @t1)) (forall @t100 (=> (tptp.in @t76 @t123) (= (tptp.apply @t2 @t76) @t225)))))))))) % 4.63/4.83 (assume @p472 (forall @t13 (= (tptp.unordered_pair @t1 @t1) @t142))) % 4.63/4.83 (assume @p473 (forall @t13 (=> @t22 @t132))) % 4.63/4.83 (assume @p474 (forall @t122 (=> @t442 (=> @t78 (or @t133 (tptp.in @t441 @t420)))))) % 4.63/4.83 (assume @p475 (forall @t13 (=> @t32 (tptp.well_founded_relation @t167)))) % 4.63/4.83 (assume @p476 (forall @t6 (=> (tptp.subset @t142 @t309) @t87))) % 4.63/4.83 (assume @p477 (forall @t45 (=> @t227 (=> @t314 @t497)))) % 4.63/4.83 (assume @p478 (forall @t13 (and (= (tptp.relation_dom @t82) @t1) (= (tptp.relation_rng @t82) @t1)))) % 4.63/4.83 (assume @p479 (forall @t45 (=> @t227 (=> @t3 @t497)))) % 4.63/4.83 (assume @p480 (forall @t122 (=> @t366 (= (tptp.in @t216 (tptp.relation_composition (tptp.identity_relation @t41) @t76)) (and @t311 (tptp.in @t216 @t76)))))) % 4.63/4.83 (assume @p481 (forall @t6 (not (and @t5 @t173)))) % 4.63/4.83 (assume @p482 (forall @t6 (and (= (tptp.pair_first @t216) @t1) (= (tptp.pair_second @t216) @t2)))) % 4.63/4.83 (assume @p483 (forall @t6 (not (and @t5 (forall @t106 (not (and @t149 (forall @t100 (not (and @t91 @t99)))))))))) % 4.63/4.83 (assume @p484 (forall @t13 (=> @t32 (tptp.well_ordering @t167)))) % 4.63/4.83 (assume @p485 (forall @t6 (tptp.subset @t1 @t55))) % 4.63/4.83 (assume @p486 (forall @t6 (= @t228 (= @t207 @t1)))) % 4.63/4.83 (assume @p487 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_dom @t413)) (and @t5 @t435))))) % 4.63/4.83 (assume @p488 (forall @t6 (=> @t84 (tptp.subset @t430 @t2)))) % 4.63/4.83 (assume @p489 (forall @t6 (not (and @t22 @t237 @t173)))) % 4.63/4.83 (assume @p490 (forall @t45 (=> @t227 (= @t436 (and @t435 (= @t2 @t438)))))) % 4.63/4.83 (assume @p491 (forall @t13 (=> @t40 (= (tptp.well_orders @t1 @t107) @t200)))) % 4.63/4.83 (assume @p492 (forall @t45 (=> (and @t86 @t190) (tptp.subset (tptp.set_union2 @t1 @t41) @t2)))) % 4.63/4.83 (assume @p493 (forall @t45 (=> @t498 @t87))) % 4.63/4.83 (assume @p494 (forall @t6 (=> @t84 (= (tptp.relation_dom @t430) @t417)))) % 4.63/4.83 (assume @p495 (forall @t6 (=> @t84 (= @t430 (tptp.relation_composition @t82 @t2))))) % 4.63/4.83 (assume @p496 (forall @t6 (=> @t84 (tptp.subset (tptp.relation_rng @t430) @t124)))) % 4.63/4.83 (assume @p497 (forall @t13 (= (tptp.union @t24) @t1))) % 4.63/4.83 (assume @p498 (forall @t122 (=> @t442 (=> @t362 (or (and @t133 @t155) (and @t241 (tptp.quasi_total @t76 @t1 @t41) (tptp.relation_of2_as_subset @t76 @t1 @t41))))))) % 4.63/4.83 (assume @p499 (forall @t13 (exists @t11 (and @t5 @t412 (forall @t106 (not (and @t149 (forall @t100 (not (and @t91 (forall @t98 (=> (tptp.subset @t88 @t41) @t121)))))))) @t410)))) % 4.63/4.83 (assume @p500 (forall @t45 (=> @t498 @t139))) % 4.63/4.83 (step @p501 :rule aci_norm :args ((= @t504 (or @t502 @t501 @t500)))) % 4.63/4.83 (step @p502 :rule cong :premises (@p501) :args (@t505)) % 4.63/4.83 (step @p503 :rule quant-merge-prenex :args ((= (forall @t13 @t507) @t505))) % 4.63/4.83 (step @p504 :rule alpha_equiv :args (@t508 (@list @t499) @t509)) % 4.63/4.83 (step @p505 :rule refl :args (@t502)) % 4.63/4.83 (step @p506 :rule nary_cong :premises (@p505 @p504) :args (@t510)) % 4.63/4.83 (step @p507 :rule quant-miniscope-or :args ((= @t507 @t510))) % 4.63/4.83 (step @p508 :rule trans :premises (@p507 @p506)) % 4.63/4.83 (step @p509 :rule symm :premises (@p508)) % 4.63/4.83 (step @p510 :rule cong :premises (@p509) :args ((forall @t13 (or @t502 @t512)))) % 4.63/4.83 (step @p511 :rule trans :premises (@p510 @p503)) % 4.63/4.83 (step @p512 :rule trans :premises (@p511 @p502)) % 4.63/4.83 (step @p513 :rule bool-impl-elim :args (@t117 @t512)) % 4.63/4.83 (step @p514 :rule cong :premises (@p513) :args ((forall @t13 (=> @t117 @t512)))) % 4.63/4.83 (step @p515 :rule trans :premises (@p514 @p512)) % 4.63/4.83 (step @p516 :rule bool-impl-elim :args (@t116 @t160)) % 4.63/4.83 (step @p517 :rule cong :premises (@p516) :args (@t161)) % 4.63/4.83 (step @p518 :rule refl :args (@t117)) % 4.63/4.83 (step @p519 :rule cong :premises (@p518 @p517) :args (@t162)) % 4.63/4.83 (step @p520 :rule cong :premises (@p519) :args (@t163)) % 4.63/4.83 (step @p521 :rule trans :premises (@p520 @p515)) % 4.63/4.83 (step @p522 :rule eq_resolve :premises (@p65 @p521)) % 4.63/4.83 (step @p523 :rule instantiate :premises (@p522) :args (@t526)) % 4.63/4.83 (step @p524 :rule aci_norm :args ((= @t528 @t521))) % 4.63/4.83 (step @p525 :rule cong :premises (@p524) :args (@t529)) % 4.63/4.83 (step @p526 :rule quant-merge-prenex :args ((= (forall @t13 @t531) @t529))) % 4.63/4.83 (step @p527 :rule alpha_equiv :args (@t532 (@list @t515 @t513 @t514) (@list @t2 @t534 @t533))) % 4.63/4.83 (step @p528 :rule refl :args (@t520)) % 4.63/4.83 (step @p529 :rule nary_cong :premises (@p528 @p505 @p527) :args (@t535)) % 4.63/4.83 (step @p530 :rule quant-miniscope-or :args ((= @t531 @t535))) % 4.63/4.83 (step @p531 :rule trans :premises (@p530 @p529)) % 4.63/4.83 (step @p532 :rule symm :premises (@p531)) % 4.63/4.83 (step @p533 :rule cong :premises (@p532) :args ((forall @t13 @t543))) % 4.63/4.83 (step @p534 :rule trans :premises (@p533 @p526)) % 4.63/4.83 (step @p535 :rule trans :premises (@p534 @p525)) % 4.63/4.83 (step @p536 :rule aci_norm :args ((= (or (or @t520 @t502) @t542) @t543))) % 4.63/4.83 (step @p537 :rule refl :args (@t542)) % 4.63/4.83 (step @p538 :rule bool-and-de-morgan :args (@t148 @t117 true)) % 4.63/4.83 (step @p539 :rule nary_cong :premises (@p538 @p537) :args ((or (not @t293) @t542))) % 4.63/4.83 (step @p540 :rule trans :premises (@p539 @p536)) % 4.63/4.83 (step @p541 :rule bool-impl-elim :args (@t293 @t542)) % 4.63/4.83 (step @p542 :rule trans :premises (@p541 @p540)) % 4.63/4.83 (step @p543 :rule cong :premises (@p542) :args ((forall @t13 (=> @t293 @t542)))) % 4.63/4.83 (step @p544 :rule trans :premises (@p543 @p535)) % 4.63/4.83 (step @p545 :rule aci_norm :args ((= @t545 @t540))) % 4.63/4.83 (step @p546 :rule cong :premises (@p545) :args (@t546)) % 4.63/4.83 (step @p547 :rule quant-merge-prenex :args ((= (forall @t11 @t548) @t546))) % 4.63/4.83 (step @p548 :rule alpha_equiv :args (@t549 (@list @t534 @t533) (@list @t41 @t550))) % 4.63/4.83 (step @p549 :rule refl :args (@t539)) % 4.63/4.83 (step @p550 :rule nary_cong :premises (@p549 @p548) :args (@t551)) % 4.63/4.83 (step @p551 :rule quant-miniscope-or :args ((= @t548 @t551))) % 4.63/4.83 (step @p552 :rule trans :premises (@p551 @p550)) % 4.63/4.83 (step @p553 :rule symm :premises (@p552)) % 4.63/4.83 (step @p554 :rule cong :premises (@p553) :args ((forall @t11 (or @t539 @t559)))) % 4.63/4.83 (step @p555 :rule trans :premises (@p554 @p547)) % 4.63/4.83 (step @p556 :rule trans :premises (@p555 @p546)) % 4.63/4.83 (step @p557 :rule bool-impl-elim :args (@t488 @t559)) % 4.63/4.83 (step @p558 :rule cong :premises (@p557) :args ((forall @t11 (=> @t488 @t559)))) % 4.63/4.83 (step @p559 :rule trans :premises (@p558 @p556)) % 4.63/4.83 (step @p560 :rule aci_norm :args ((= @t561 @t557))) % 4.63/4.83 (step @p561 :rule cong :premises (@p560) :args (@t562)) % 4.63/4.83 (step @p562 :rule quant-merge-prenex :args ((= (forall @t106 @t564) @t562))) % 4.63/4.83 (step @p563 :rule alpha_equiv :args (@t565 (@list @t550) (@list @t76))) % 4.63/4.83 (step @p564 :rule refl :args (@t556)) % 4.63/4.83 (step @p565 :rule nary_cong :premises (@p564 @p563) :args (@t566)) % 4.63/4.83 (step @p566 :rule quant-miniscope-or :args ((= @t564 @t566))) % 4.63/4.83 (step @p567 :rule trans :premises (@p566 @p565)) % 4.63/4.83 (step @p568 :rule symm :premises (@p567)) % 4.63/4.83 (step @p569 :rule cong :premises (@p568) :args ((forall @t106 (or @t556 @t569)))) % 4.63/4.83 (step @p570 :rule trans :premises (@p569 @p562)) % 4.63/4.83 (step @p571 :rule trans :premises (@p570 @p561)) % 4.63/4.83 (step @p572 :rule bool-impl-elim :args (@t115 @t569)) % 4.63/4.83 (step @p573 :rule cong :premises (@p572) :args ((forall @t106 (=> @t115 @t569)))) % 4.63/4.83 (step @p574 :rule trans :premises (@p573 @p571)) % 4.63/4.83 (step @p575 :rule bool-impl-elim :args (@t552 @t475)) % 4.63/4.83 (step @p576 :rule bool-impl-elim :args (@t479 @t567)) % 4.63/4.83 (step @p577 :rule nary_cong :premises (@p576 @p575) :args (@t570)) % 4.63/4.83 (step @p578 :rule refl :args (@t568)) % 4.63/4.83 (step @p579 :rule nary_cong :premises (@p578 @p577) :args ((or @t568 @t570))) % 4.63/4.83 (step @p580 :rule bool-impl-elim :args (@t483 @t570)) % 4.63/4.83 (step @p581 :rule trans :premises (@p580 @p579)) % 4.63/4.83 (step @p582 :rule cong :premises (@p581) :args ((forall @t100 (=> @t483 @t570)))) % 4.63/4.83 (step @p583 :rule refl :args (@t475)) % 4.63/4.83 (step @p584 :rule eq-symm :args (@t476 @t41)) % 4.63/4.83 (step @p585 :rule cong :premises (@p584 @p583) :args (@t477)) % 4.63/4.83 (step @p586 :rule eq-symm :args (@t478 @t76)) % 4.63/4.83 (step @p587 :rule refl :args (@t479)) % 4.63/4.83 (step @p588 :rule cong :premises (@p587 @p586) :args (@t480)) % 4.63/4.83 (step @p589 :rule nary_cong :premises (@p588 @p585) :args (@t481)) % 4.63/4.83 (step @p590 :rule refl :args (@t483)) % 4.63/4.83 (step @p591 :rule cong :premises (@p590 @p589) :args (@t484)) % 4.63/4.83 (step @p592 :rule cong :premises (@p591) :args (@t485)) % 4.63/4.83 (step @p593 :rule trans :premises (@p592 @p582)) % 4.63/4.83 (step @p594 :rule refl :args (@t115)) % 4.63/4.83 (step @p595 :rule cong :premises (@p594 @p593) :args (@t486)) % 4.63/4.83 (step @p596 :rule cong :premises (@p595) :args (@t487)) % 4.63/4.83 (step @p597 :rule trans :premises (@p596 @p574)) % 4.63/4.83 (step @p598 :rule refl :args (@t488)) % 4.63/4.83 (step @p599 :rule cong :premises (@p598 @p597) :args (@t489)) % 4.63/4.83 (step @p600 :rule cong :premises (@p599) :args (@t490)) % 4.63/4.83 (step @p601 :rule trans :premises (@p600 @p559)) % 4.63/4.83 (step @p602 :rule refl :args (@t293)) % 4.63/4.83 (step @p603 :rule cong :premises (@p602 @p601) :args (@t491)) % 4.63/4.83 (step @p604 :rule cong :premises (@p603) :args (@t492)) % 4.63/4.83 (step @p605 :rule trans :premises (@p604 @p544)) % 4.63/4.83 (step @p606 :rule cong :premises (@p605) :args (@t493)) % 4.63/4.83 (step @p607 :rule eq_resolve :premises (@p458 @p606)) % 4.63/4.83 (step @p608 :rule skolemize :premises (@p607)) % 4.63/4.83 (step @p609 :rule bool-double-not-elim :args (@t573)) % 4.63/4.83 (step @p610 :rule refl :args (@t596)) % 4.63/4.83 (step @p611 :rule nary_cong :premises (@p610 @p609) :args ((or @t596 (not @t587)))) % 4.63/4.83 (step @p612 :rule cnf_or_neg :args (@t596 4)) % 4.63/4.83 (step @p613 :rule eq_resolve :premises (@p612 @p611)) % 4.63/4.83 (step @p614 :rule reordering :premises (@p613) :args ((or @t573 @t596))) % 4.63/4.83 (step @p615 :rule chain_m_resolution :premises (@p614 @p608) :args (@t573 @t597 @t598)) % 4.63/4.83 (step @p616 :rule bool-double-not-elim :args (@t590)) % 4.63/4.83 (step @p617 :rule nary_cong :premises (@p610 @p616) :args ((or @t596 (not @t591)))) % 4.63/4.83 (step @p618 :rule cnf_or_neg :args (@t596 2)) % 4.63/4.83 (step @p619 :rule eq_resolve :premises (@p618 @p617)) % 4.63/4.83 (step @p620 :rule reordering :premises (@p619) :args ((or @t590 @t596))) % 4.63/4.83 (step @p621 :rule chain_m_resolution :premises (@p620 @p608) :args (@t590 @t597 @t598)) % 4.63/4.83 (step @p622 :rule cnf_or_pos :args (@t603)) % 4.63/4.83 (step @p623 :rule reordering :premises (@p622) :args ((or @t591 @t587 @t602 (not @t603)))) % 4.63/4.83 (step @p624 :rule chain_m_resolution :premises (@p623 @p621 @p615 @p523) :args (@t602 @t604 (@list @t590 @t573 @t603))) % 4.63/4.83 (step @p625 :rule bool-impl-elim :args (@t25 @t605)) % 4.63/4.83 (step @p626 :rule cong :premises (@p625) :args ((forall @t6 (=> @t25 @t605)))) % 4.63/4.83 (step @p627 :rule eq-symm :args (@t299 @t2)) % 4.63/4.83 (step @p628 :rule refl :args (@t25)) % 4.63/4.83 (step @p629 :rule cong :premises (@p628 @p627) :args (@t300)) % 4.63/4.83 (step @p630 :rule cong :premises (@p629) :args (@t301)) % 4.63/4.83 (step @p631 :rule trans :premises (@p630 @p626)) % 4.63/4.83 (step @p632 :rule eq_resolve :premises (@p227 @p631)) % 4.63/4.83 (step @p633 :rule instantiate :premises (@p632) :args (@t606)) % 4.63/4.83 (step @p634 :rule cnf_or_pos :args (@t609)) % 4.63/4.83 (step @p635 :rule reordering :premises (@p634) :args ((or @t587 @t608 (not @t609)))) % 4.63/4.83 (step @p636 :rule chain_m_resolution :premises (@p635 @p615 @p633) :args (@t608 @t610 (@list @t573 @t609))) % 4.63/4.83 (step @p637 :rule bool-impl-elim :args (@t157 @t611)) % 4.63/4.83 (step @p638 :rule cong :premises (@p637) :args ((forall @t13 (=> @t157 @t611)))) % 4.63/4.83 (step @p639 :rule eq-symm :args (@t185 @t57)) % 4.63/4.83 (step @p640 :rule refl :args (@t157)) % 4.63/4.83 (step @p641 :rule cong :premises (@p640 @p639) :args (@t186)) % 4.63/4.83 (step @p642 :rule cong :premises (@p641) :args (@t187)) % 4.63/4.83 (step @p643 :rule trans :premises (@p642 @p638)) % 4.63/4.83 (step @p644 :rule eq_resolve :premises (@p82 @p643)) % 4.63/4.83 (step @p645 :rule instantiate :premises (@p644) :args (@t612)) % 4.63/4.83 (step @p646 :rule bool-impl-elim :args (@t117 @t157)) % 4.63/4.83 (step @p647 :rule cong :premises (@p646) :args (@t260)) % 4.63/4.83 (step @p648 :rule eq_resolve :premises (@p147 @p647)) % 4.63/4.83 (step @p649 :rule instantiate :premises (@p648) :args (@t612)) % 4.63/4.83 (step @p650 :rule cnf_or_pos :args (@t614)) % 4.63/4.83 (step @p651 :rule reordering :premises (@p650) :args ((or @t591 @t613 (not @t614)))) % 4.63/4.83 (step @p652 :rule chain_m_resolution :premises (@p651 @p621 @p649) :args (@t613 @t610 (@list @t590 @t614))) % 4.63/4.83 (step @p653 :rule cnf_or_pos :args (@t618)) % 4.63/4.83 (step @p654 :rule reordering :premises (@p653) :args ((or @t617 @t616 (not @t618)))) % 4.63/4.83 (step @p655 :rule chain_m_resolution :premises (@p654 @p652 @p645) :args (@t616 @t610 (@list @t613 @t618))) % 4.63/4.83 (step @p656 :rule aci_norm :args ((= @t624 (or @t622 @t621 @t620)))) % 4.63/4.83 (step @p657 :rule cong :premises (@p656) :args (@t625)) % 4.63/4.83 (step @p658 :rule quant-merge-prenex :args ((= (forall @t13 @t627) @t625))) % 4.63/4.83 (step @p659 :rule alpha_equiv :args (@t628 (@list @t619) @t509)) % 4.63/4.83 (step @p660 :rule refl :args (@t622)) % 4.63/4.83 (step @p661 :rule nary_cong :premises (@p660 @p659) :args (@t629)) % 4.63/4.83 (step @p662 :rule quant-miniscope-or :args ((= @t627 @t629))) % 4.63/4.83 (step @p663 :rule trans :premises (@p662 @p661)) % 4.63/4.83 (step @p664 :rule symm :premises (@p663)) % 4.63/4.83 (step @p665 :rule cong :premises (@p664) :args ((forall @t13 (or @t622 @t630)))) % 4.63/4.83 (step @p666 :rule trans :premises (@p665 @p658)) % 4.63/4.83 (step @p667 :rule trans :premises (@p666 @p657)) % 4.63/4.83 (step @p668 :rule bool-impl-elim :args (@t157 @t630)) % 4.63/4.83 (step @p669 :rule cong :premises (@p668) :args ((forall @t13 (=> @t157 @t630)))) % 4.63/4.83 (step @p670 :rule trans :premises (@p669 @p667)) % 4.63/4.83 (step @p671 :rule bool-impl-elim :args (@t116 @t425)) % 4.63/4.83 (step @p672 :rule cong :premises (@p671) :args (@t426)) % 4.63/4.83 (step @p673 :rule cong :premises (@p640 @p672) :args (@t427)) % 4.63/4.83 (step @p674 :rule cong :premises (@p673) :args (@t428)) % 4.63/4.83 (step @p675 :rule trans :premises (@p674 @p670)) % 4.63/4.83 (step @p676 :rule eq_resolve :premises (@p360 @p675)) % 4.63/4.83 (step @p677 :rule instantiate :premises (@p676) :args (@t526)) % 4.63/4.83 (step @p678 :rule cnf_or_pos :args (@t633)) % 4.63/4.83 (step @p679 :rule reordering :premises (@p678) :args ((or @t587 @t617 @t632 (not @t633)))) % 4.63/4.83 (step @p680 :rule chain_m_resolution :premises (@p679 @p615 @p652 @p677) :args (@t632 @t604 (@list @t573 @t613 @t633))) % 4.63/4.83 (step @p681 :rule bool-double-not-elim :args (@t578)) % 4.63/4.83 (step @p682 :rule refl :args (@t580)) % 4.63/4.83 (step @p683 :rule nary_cong :premises (@p682 @p681) :args ((or @t580 (not @t579)))) % 4.63/4.83 (step @p684 :rule cnf_or_neg :args (@t580 0)) % 4.63/4.83 (step @p685 :rule eq_resolve :premises (@p684 @p683)) % 4.63/4.83 (step @p686 :rule reordering :premises (@p685) :args ((or @t578 @t580))) % 4.63/4.83 (step @p687 :rule cnf_or_neg :args (@t580 1)) % 4.63/4.83 (step @p688 :rule aci_norm :args ((= (or @t634 @t297) (or @t520 @t502 @t511 @t297)))) % 4.63/4.83 (step @p689 :rule refl :args (@t297)) % 4.63/4.83 (step @p690 :rule aci_norm :args ((= (or @t520 @t635) @t634))) % 4.63/4.83 (step @p691 :rule bool-and-de-morgan :args (@t117 @t116 true)) % 4.63/4.83 (step @p692 :rule nary_cong :premises (@p528 @p691) :args ((or @t520 @t636))) % 4.63/4.83 (step @p693 :rule bool-and-de-morgan :args (@t148 @t117 (and @t116))) % 4.63/4.83 (step @p694 :rule trans :premises (@p693 @p692)) % 4.63/4.83 (step @p695 :rule trans :premises (@p694 @p690)) % 4.63/4.83 (step @p696 :rule nary_cong :premises (@p695 @p689) :args ((or (not @t280) @t297))) % 4.63/4.83 (step @p697 :rule trans :premises (@p696 @p688)) % 4.63/4.83 (step @p698 :rule bool-impl-elim :args (@t280 @t297)) % 4.63/4.83 (step @p699 :rule trans :premises (@p698 @p697)) % 4.63/4.83 (step @p700 :rule cong :premises (@p699) :args (@t298)) % 4.63/4.83 (step @p701 :rule eq_resolve :premises (@p219 @p700)) % 4.63/4.83 (step @p702 :rule instantiate :premises (@p701) :args ((@list @t574 @t575))) % 4.63/4.83 (step @p703 :rule bool-double-not-elim :args (@t588)) % 4.63/4.83 (step @p704 :rule nary_cong :premises (@p610 @p703) :args ((or @t596 (not @t589)))) % 4.63/4.83 (step @p705 :rule cnf_or_neg :args (@t596 3)) % 4.63/4.83 (step @p706 :rule eq_resolve :premises (@p705 @p704)) % 4.63/4.83 (step @p707 :rule reordering :premises (@p706) :args ((or @t588 @t596))) % 4.63/4.83 (step @p708 :rule chain_m_resolution :premises (@p707 @p608) :args (@t588 @t597 @t598)) % 4.63/4.83 (step @p709 :rule bool-double-not-elim :args (@t592)) % 4.63/4.83 (step @p710 :rule nary_cong :premises (@p610 @p709) :args ((or @t596 (not @t593)))) % 4.63/4.83 (step @p711 :rule cnf_or_neg :args (@t596 1)) % 4.63/4.83 (step @p712 :rule eq_resolve :premises (@p711 @p710)) % 4.63/4.83 (step @p713 :rule reordering :premises (@p712) :args ((or @t592 @t596))) % 4.63/4.83 (step @p714 :rule chain_m_resolution :premises (@p713 @p608) :args (@t592 @t597 @t598)) % 4.63/4.83 (step @p715 :rule bool-double-not-elim :args (@t594)) % 4.63/4.83 (step @p716 :rule nary_cong :premises (@p610 @p715) :args ((or @t596 (not @t595)))) % 4.63/4.83 (step @p717 :rule cnf_or_neg :args (@t596 0)) % 4.63/4.83 (step @p718 :rule eq_resolve :premises (@p717 @p716)) % 4.63/4.83 (step @p719 :rule reordering :premises (@p718) :args ((or @t594 @t596))) % 4.63/4.83 (step @p720 :rule chain_m_resolution :premises (@p719 @p608) :args (@t594 @t597 @t598)) % 4.63/4.83 (step @p721 :rule cnf_or_pos :args (@t638)) % 4.63/4.83 (step @p722 :rule reordering :premises (@p721) :args ((or @t595 @t593 @t589 @t637 (not @t638)))) % 4.63/4.83 (step @p723 :rule chain_m_resolution :premises (@p722 @p720 @p714 @p708 @p702) :args (@t637 (@list false false false false) (@list @t594 @t592 @t588 @t638))) % 4.63/4.83 (assume-push @p939 @t578) % 4.63/4.83 (assume-push @p940 @t637) % 4.63/4.83 (assume-push @p941 @t637) % 4.63/4.83 (assume-push @p942 @t578) % 4.63/4.83 (step @p728 :rule true_intro :premises (@p723)) % 4.63/4.83 (step @p729 :rule refl :args (@t574)) % 4.63/4.83 (step @p730 :rule cong :premises (@p939 @p729) :args (@t576)) % 4.63/4.83 (step @p731 :rule trans :premises (@p730 @p728)) % 4.63/4.83 (step @p732 :rule true_elim :premises (@p731)) % 4.63/4.83 (step-pop @p943 :rule scope :premises (@p732)) % 4.63/4.83 (step-pop @p944 :rule scope :premises (@p943)) % 4.63/4.83 (step @p733 :rule process_scope :premises (@p944) :args (@t576)) % 4.63/4.83 (step @p736 :rule and_intro :premises (@p723 @p939)) % 4.63/4.83 (step @p737 :rule modus_ponens :premises (@p736 @p733)) % 4.63/4.83 (step-pop @p945 :rule scope :premises (@p737)) % 4.63/4.83 (step-pop @p946 :rule scope :premises (@p945)) % 4.63/4.83 (step @p738 :rule process_scope :premises (@p946) :args (@t576)) % 4.63/4.83 (step @p741 :rule implies_elim :premises (@p738)) % 4.63/4.83 (step @p742 :rule cnf_and_neg :args (@t639)) % 4.63/4.83 (step @p743 :rule resolution :premises (@p742 @p741) :args (true @t639)) % 4.63/4.83 (step @p744 :rule reordering :premises (@p743) :args ((or @t579 @t576 (not @t637)))) % 4.63/4.83 (step @p745 :rule chain_m_resolution :premises (@p744 @p723 @p687 @p686) :args (@t580 (@list false true false) (@list @t637 @t576 @t578))) % 4.63/4.83 (step @p746 :rule cnf_or_neg :args (@t596 5)) % 4.63/4.83 (step @p747 :rule chain_m_resolution :premises (@p746 @p608) :args ((not @t586) @t597 @t598)) % 4.63/4.83 (step @p748 :rule cnf_and_neg :args (@t586)) % 4.63/4.83 (step @p749 :rule chain_m_resolution :premises (@p748 @p747 @p745) :args ((not @t585) (@list true false) (@list @t586 @t580))) % 4.63/4.83 (step @p750 :rule cnf_or_neg :args (@t585 1)) % 4.63/4.83 (step @p751 :rule chain_m_resolution :premises (@p750 @p749) :args ((not @t582) @t597 @t640)) % 4.63/4.83 (step @p752 :rule bool-impl-elim :args (@t25 @t641)) % 4.63/4.83 (step @p753 :rule cong :premises (@p752) :args ((forall @t6 (=> @t25 @t641)))) % 4.63/4.83 (step @p754 :rule eq-symm :args (@t213 @t207)) % 4.63/4.83 (step @p755 :rule cong :premises (@p628 @p754) :args (@t214)) % 4.63/4.83 (step @p756 :rule cong :premises (@p755) :args (@t215)) % 4.63/4.83 (step @p757 :rule trans :premises (@p756 @p753)) % 4.63/4.83 (step @p758 :rule eq_resolve :premises (@p100 @p757)) % 4.63/4.83 (step @p759 :rule eq-symm :args (@t642 @t607)) % 4.63/4.83 (step @p760 :rule refl :args (@t644)) % 4.63/4.83 (step @p761 :rule nary_cong :premises (@p760 @p759) :args (@t645)) % 4.63/4.83 (step @p762 :rule refl :args (@t646)) % 4.63/4.83 (step @p763 :rule cong :premises (@p762 @p761) :args ((=> @t646 @t645))) % 4.63/4.83 (assume-push @p947 @t646) % 4.63/4.83 (step @p765 :rule instantiate :premises (@p758) :args ((@list @t571 @t599))) % 4.63/4.83 (step-pop @p948 :rule scope :premises (@p765)) % 4.63/4.83 (step @p766 :rule process_scope :premises (@p948) :args (@t645)) % 4.63/4.83 (step @p768 :rule eq_resolve :premises (@p766 @p763)) % 4.63/4.83 (step @p769 :rule implies_elim :premises (@p768)) % 4.63/4.83 (step @p770 :rule chain_m_resolution :premises (@p769 @p758) :args (@t648 @t649 @t650)) % 4.63/4.83 (step @p771 :rule bool-impl-elim :args (@t25 @t245)) % 4.63/4.83 (step @p772 :rule cong :premises (@p771) :args (@t246)) % 4.63/4.83 (step @p773 :rule eq_resolve :premises (@p131 @p772)) % 4.63/4.83 (step @p774 :rule instantiate :premises (@p773) :args (@t606)) % 4.63/4.83 (step @p775 :rule cnf_or_pos :args (@t651)) % 4.63/4.83 (step @p776 :rule reordering :premises (@p775) :args ((or @t587 @t643 (not @t651)))) % 4.63/4.83 (step @p777 :rule chain_m_resolution :premises (@p776 @p615 @p774) :args (@t643 @t610 (@list @t573 @t651))) % 4.63/4.83 (step @p778 :rule cnf_or_pos :args (@t648)) % 4.63/4.83 (step @p779 :rule reordering :premises (@p778) :args ((or @t644 @t647 (not @t648)))) % 4.63/4.83 (step @p780 :rule chain_m_resolution :premises (@p779 @p777 @p770) :args (@t647 @t610 (@list @t643 @t648))) % 4.63/4.83 (step @p781 :rule eq-symm :args (@t652 @t601)) % 4.63/4.83 (step @p782 :rule refl :args (@t654)) % 4.63/4.83 (step @p783 :rule nary_cong :premises (@p782 @p781) :args (@t655)) % 4.63/4.83 (step @p784 :rule cong :premises (@p762 @p783) :args ((=> @t646 @t655))) % 4.63/4.83 (assume-push @p949 @t646) % 4.63/4.83 (step @p786 :rule instantiate :premises (@p758) :args ((@list @t571 @t600))) % 4.63/4.83 (step-pop @p950 :rule scope :premises (@p786)) % 4.63/4.83 (step @p787 :rule process_scope :premises (@p950) :args (@t655)) % 4.63/4.83 (step @p789 :rule eq_resolve :premises (@p787 @p784)) % 4.63/4.83 (step @p790 :rule implies_elim :premises (@p789)) % 4.63/4.83 (step @p791 :rule chain_m_resolution :premises (@p790 @p758) :args (@t657 @t649 @t650)) % 4.63/4.83 (step @p792 :rule aci_norm :args ((= (or @t635 @t253) (or @t502 @t511 @t253)))) % 4.63/4.83 (step @p793 :rule refl :args (@t253)) % 4.63/4.83 (step @p794 :rule nary_cong :premises (@p691 @p793) :args ((or @t636 @t253))) % 4.63/4.83 (step @p795 :rule trans :premises (@p794 @p792)) % 4.63/4.83 (step @p796 :rule bool-impl-elim :args (@t239 @t253)) % 4.63/4.83 (step @p797 :rule trans :premises (@p796 @p795)) % 4.63/4.83 (step @p798 :rule cong :premises (@p797) :args (@t254)) % 4.63/4.83 (step @p799 :rule eq_resolve :premises (@p139 @p798)) % 4.63/4.83 (step @p800 :rule instantiate :premises (@p799) :args (@t658)) % 4.63/4.83 (step @p801 :rule cnf_or_pos :args (@t659)) % 4.63/4.83 (step @p802 :rule reordering :premises (@p801) :args ((or @t591 @t644 @t653 (not @t659)))) % 4.63/4.83 (step @p803 :rule chain_m_resolution :premises (@p802 @p621 @p777 @p800) :args (@t653 @t604 (@list @t590 @t643 @t659))) % 4.63/4.83 (step @p804 :rule cnf_or_pos :args (@t657)) % 4.63/4.83 (step @p805 :rule reordering :premises (@p804) :args ((or @t654 @t656 (not @t657)))) % 4.63/4.83 (step @p806 :rule chain_m_resolution :premises (@p805 @p803 @p791) :args (@t656 @t610 (@list @t653 @t657))) % 4.63/4.83 (step @p807 :rule aci_norm :args ((= @t666 (or @t502 @t664 @t663)))) % 4.63/4.83 (step @p808 :rule cong :premises (@p807) :args (@t667)) % 4.63/4.83 (step @p809 :rule quant-merge-prenex :args ((= (forall @t13 @t669) @t667))) % 4.63/4.83 (step @p810 :rule alpha_equiv :args (@t670 (@list @t660) @t509)) % 4.63/4.83 (step @p811 :rule nary_cong :premises (@p505 @p810) :args (@t671)) % 4.63/4.83 (step @p812 :rule quant-miniscope-or :args ((= @t669 @t671))) % 4.63/4.83 (step @p813 :rule trans :premises (@p812 @p811)) % 4.63/4.83 (step @p814 :rule symm :premises (@p813)) % 4.63/4.83 (step @p815 :rule cong :premises (@p814) :args ((forall @t13 (or @t502 @t675)))) % 4.63/4.83 (step @p816 :rule trans :premises (@p815 @p809)) % 4.63/4.83 (step @p817 :rule trans :premises (@p816 @p808)) % 4.63/4.83 (step @p818 :rule bool-impl-elim :args (@t117 @t675)) % 4.63/4.83 (step @p819 :rule cong :premises (@p818) :args ((forall @t13 (=> @t117 @t675)))) % 4.63/4.83 (step @p820 :rule trans :premises (@p819 @p817)) % 4.63/4.83 (step @p821 :rule aci_norm :args ((= (or (or @t520 @t673) @t220) @t674))) % 4.63/4.83 (step @p822 :rule refl :args (@t220)) % 4.63/4.83 (step @p823 :rule bool-and-de-morgan :args (@t148 @t672 true)) % 4.63/4.83 (step @p824 :rule nary_cong :premises (@p823 @p822) :args ((or (not @t676) @t220))) % 4.63/4.83 (step @p825 :rule trans :premises (@p824 @p821)) % 4.63/4.83 (step @p826 :rule bool-impl-elim :args (@t676 @t220)) % 4.63/4.83 (step @p827 :rule trans :premises (@p826 @p825)) % 4.63/4.83 (step @p828 :rule bool-impl-elim :args (@t220 @t672)) % 4.63/4.83 (step @p829 :rule nary_cong :premises (@p828 @p827) :args (@t677)) % 4.63/4.83 (step @p830 :rule refl :args (@t511)) % 4.63/4.83 (step @p831 :rule nary_cong :premises (@p830 @p829) :args ((or @t511 @t677))) % 4.63/4.83 (step @p832 :rule bool-impl-elim :args (@t116 @t677)) % 4.63/4.83 (step @p833 :rule trans :premises (@p832 @p831)) % 4.63/4.83 (step @p834 :rule cong :premises (@p833) :args ((forall @t11 (=> @t116 @t677)))) % 4.63/4.83 (step @p835 :rule refl :args (@t220)) % 4.63/4.83 (step @p836 :rule eq-symm :args (@t114 @t2)) % 4.63/4.83 (step @p837 :rule refl :args (@t148)) % 4.63/4.83 (step @p838 :rule nary_cong :premises (@p837 @p836) :args (@t466)) % 4.63/4.83 (step @p839 :rule cong :premises (@p838 @p835) :args (@t467)) % 4.63/4.83 (step @p840 :rule cong :premises (@p835 @p836) :args (@t468)) % 4.63/4.83 (step @p841 :rule nary_cong :premises (@p840 @p839) :args (@t469)) % 4.63/4.83 (step @p842 :rule refl :args (@t116)) % 4.63/4.83 (step @p843 :rule cong :premises (@p842 @p841) :args (@t470)) % 4.63/4.83 (step @p844 :rule cong :premises (@p843) :args (@t471)) % 4.63/4.83 (step @p845 :rule trans :premises (@p844 @p834)) % 4.63/4.83 (step @p846 :rule cong :premises (@p518 @p845) :args (@t472)) % 4.63/4.83 (step @p847 :rule cong :premises (@p846) :args (@t473)) % 4.63/4.83 (step @p848 :rule trans :premises (@p847 @p820)) % 4.63/4.83 (step @p849 :rule eq_resolve :premises (@p452 @p848)) % 4.63/4.83 (step @p850 :rule instantiate :premises (@p849) :args (@t658)) % 4.63/4.83 (step @p851 :rule cnf_or_pos :args (@t684)) % 4.63/4.83 (step @p852 :rule reordering :premises (@p851) :args ((or @t591 @t644 @t683 (not @t684)))) % 4.63/4.83 (step @p853 :rule chain_m_resolution :premises (@p852 @p621 @p777 @p850) :args (@t683 @t604 (@list @t590 @t643 @t684))) % 4.63/4.83 (step @p854 :rule cnf_and_pos :args (@t683 0)) % 4.63/4.83 (step @p855 :rule reordering :premises (@p854) :args ((or @t682 (not @t683)))) % 4.63/4.83 (step @p856 :rule chain_m_resolution :premises (@p855 @p853) :args (@t682 @t649 (@list @t683))) % 4.63/4.83 (step @p857 :rule aci_norm :args ((= @t689 (or @t502 @t687 @t686)))) % 4.63/4.83 (step @p858 :rule cong :premises (@p857) :args (@t690)) % 4.63/4.83 (step @p859 :rule quant-merge-prenex :args ((= (forall @t13 @t692) @t690))) % 4.63/4.83 (step @p860 :rule alpha_equiv :args (@t693 (@list @t685) @t509)) % 4.63/4.83 (step @p861 :rule nary_cong :premises (@p505 @p860) :args (@t694)) % 4.63/4.83 (step @p862 :rule quant-miniscope-or :args ((= @t692 @t694))) % 4.63/4.83 (step @p863 :rule trans :premises (@p862 @p861)) % 4.63/4.83 (step @p864 :rule symm :premises (@p863)) % 4.63/4.83 (step @p865 :rule cong :premises (@p864) :args ((forall @t13 (or @t502 @t695)))) % 4.63/4.83 (step @p866 :rule trans :premises (@p865 @p859)) % 4.63/4.83 (step @p867 :rule trans :premises (@p866 @p858)) % 4.63/4.83 (step @p868 :rule bool-impl-elim :args (@t117 @t695)) % 4.63/4.83 (step @p869 :rule cong :premises (@p868) :args ((forall @t13 (=> @t117 @t695)))) % 4.63/4.83 (step @p870 :rule trans :premises (@p869 @p867)) % 4.63/4.83 (step @p871 :rule bool-impl-elim :args (@t116 @t450)) % 4.63/4.83 (step @p872 :rule cong :premises (@p871) :args (@t451)) % 4.63/4.83 (step @p873 :rule cong :premises (@p518 @p872) :args (@t452)) % 4.63/4.83 (step @p874 :rule cong :premises (@p873) :args (@t453)) % 4.63/4.83 (step @p875 :rule trans :premises (@p874 @p870)) % 4.63/4.83 (step @p876 :rule eq_resolve :premises (@p405 @p875)) % 4.63/4.83 (step @p877 :rule instantiate :premises (@p876) :args (@t526)) % 4.63/4.83 (step @p878 :rule cnf_or_pos :args (@t697)) % 4.63/4.83 (step @p879 :rule reordering :premises (@p878) :args ((or @t591 @t587 @t696 (not @t697)))) % 4.63/4.83 (step @p880 :rule chain_m_resolution :premises (@p879 @p621 @p615 @p877) :args (@t696 @t604 (@list @t590 @t573 @t697))) % 4.63/4.85 (step @p881 :rule bool-double-not-elim :args (@t583)) % 4.63/4.85 (step @p882 :rule refl :args (@t585)) % 4.63/4.85 (step @p883 :rule nary_cong :premises (@p882 @p881) :args ((or @t585 (not @t584)))) % 4.63/4.85 (step @p884 :rule cnf_or_neg :args (@t585 0)) % 4.63/4.85 (step @p885 :rule eq_resolve :premises (@p884 @p883)) % 4.63/4.85 (step @p886 :rule reordering :premises (@p885) :args ((or @t583 @t585))) % 4.63/4.85 (step @p887 :rule chain_m_resolution :premises (@p886 @p749) :args (@t583 @t597 @t640)) % 4.63/4.85 (step @p888 :rule cnf_equiv_pos1 :args (@t696)) % 4.63/4.85 (step @p889 :rule reordering :premises (@p888) :args ((or @t584 @t678 (not @t696)))) % 4.63/4.85 (step @p890 :rule chain_m_resolution :premises (@p889 @p887 @p880) :args (@t678 @t610 (@list @t583 @t696))) % 4.63/4.85 (step @p891 :rule cnf_or_pos :args (@t682)) % 4.63/4.85 (step @p892 :rule reordering :premises (@p891) :args ((or @t681 @t679 (not @t682)))) % 4.63/4.85 (step @p893 :rule chain_m_resolution :premises (@p892 @p890 @p856) :args (@t679 @t610 (@list @t678 @t682))) % 4.63/4.85 (assume-push @p951 @t602) % 4.63/4.85 (assume-push @p952 @t616) % 4.63/4.85 (assume-push @p953 @t608) % 4.63/4.85 (assume-push @p954 @t632) % 4.63/4.85 (assume-push @p955 @t647) % 4.63/4.85 (assume-push @p956 @t656) % 4.63/4.85 (assume-push @p957 @t679) % 4.63/4.85 (assume-push @p958 @t602) % 4.63/4.85 (assume-push @p959 @t656) % 4.63/4.85 (assume-push @p960 @t616) % 4.63/4.85 (assume-push @p961 @t679) % 4.63/4.85 (assume-push @p962 @t632) % 4.63/4.85 (assume-push @p963 @t647) % 4.63/4.85 (assume-push @p964 @t608) % 4.63/4.85 (step @p908 :rule symm :premises (@p624)) % 4.63/4.85 (step @p909 :rule symm :premises (@p806)) % 4.63/4.85 (step @p910 :rule symm :premises (@p680)) % 4.63/4.85 (step @p911 :rule trans :premises (@p910 @p957)) % 4.63/4.85 (step @p912 :rule symm :premises (@p655)) % 4.63/4.85 (step @p913 :rule cong :premises (@p912 @p911) :args ((tptp.set_difference @t615 @t631))) % 4.63/4.85 (step @p914 :rule cong :premises (@p655 @p680) :args (@t642)) % 4.63/4.85 (step @p915 :rule trans :premises (@p636 @p780 @p914 @p913 @p909 @p908)) % 4.63/4.85 (step-pop @p965 :rule scope :premises (@p915)) % 4.63/4.85 (step-pop @p966 :rule scope :premises (@p965)) % 4.63/4.85 (step-pop @p967 :rule scope :premises (@p966)) % 4.63/4.85 (step-pop @p968 :rule scope :premises (@p967)) % 4.63/4.85 (step-pop @p969 :rule scope :premises (@p968)) % 4.63/4.85 (step-pop @p970 :rule scope :premises (@p969)) % 4.63/4.85 (step-pop @p971 :rule scope :premises (@p970)) % 4.63/4.85 (step @p916 :rule process_scope :premises (@p971) :args (@t582)) % 4.63/4.85 (step @p924 :rule and_intro :premises (@p624 @p806 @p655 @p957 @p680 @p780 @p636)) % 4.63/4.85 (step @p925 :rule modus_ponens :premises (@p924 @p916)) % 4.63/4.85 (step-pop @p972 :rule scope :premises (@p925)) % 4.63/4.85 (step-pop @p973 :rule scope :premises (@p972)) % 4.63/4.85 (step-pop @p974 :rule scope :premises (@p973)) % 4.63/4.85 (step-pop @p975 :rule scope :premises (@p974)) % 4.63/4.85 (step-pop @p976 :rule scope :premises (@p975)) % 4.63/4.85 (step-pop @p977 :rule scope :premises (@p976)) % 4.63/4.85 (step-pop @p978 :rule scope :premises (@p977)) % 4.63/4.85 (step @p926 :rule process_scope :premises (@p978) :args (@t582)) % 4.63/4.85 (step @p934 :rule implies_elim :premises (@p926)) % 4.63/4.85 (step @p935 :rule cnf_and_neg :args (@t698)) % 4.63/4.85 (step @p936 :rule resolution :premises (@p935 @p934) :args (true @t698)) % 4.63/4.85 (step @p937 :rule reordering :premises (@p936) :args ((or @t582 (not @t602) (not @t616) (not @t608) (not @t632) @t680 (not @t647) (not @t656)))) % 4.63/4.85 (step @p938 false :rule chain_m_resolution :premises (@p937 @p893 @p806 @p780 @p751 @p680 @p655 @p636 @p624) :args (false (@list false false false true false false false false) (@list @t679 @t656 @t647 @t582 @t632 @t616 @t608 @t602))) % 4.63/4.85 ) % 4.63/4.85 % SZS output end Proof % 4.63/4.85 % cvc5 exiting %------------------------------------------------------------------------------