%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU320+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:22 AM UTC 2026 % Result : Theorem 0.95s 1.17s % Output : Proof 0.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU320+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:56:30 EDT 2026 % 0.17/0.34 % CPUTime : % 0.40/0.60 %----Proving TF0_NAR, FOF, or CNF % 0.95/1.17 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.95/1.17 % SZS status Theorem % 0.95/1.17 % SZS output start Proof % 0.95/1.17 ( % 0.95/1.17 (declare-sort $$unsorted 0) % 0.95/1.17 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.function (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.empty_set $$unsorted) % 0.95/1.17 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.omega $$unsorted) % 0.95/1.17 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.95/1.17 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.17 (declare-const tptp.top_str (-> $$unsorted Bool)) % 0.95/1.17 (define @t1 () (@var "A" $$unsorted)) % 0.95/1.17 (define @t2 () (@var "B" $$unsorted)) % 0.95/1.17 (define @t3 () (tptp.in @t2 @t1)) % 0.95/1.17 (define @t4 () (not @t3)) % 0.95/1.17 (define @t5 () (tptp.in @t1 @t2)) % 0.95/1.17 (define @t6 () (@list @t1 @t2)) % 0.95/1.17 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.95/1.17 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.95/1.17 (define @t9 () (tptp.v1_xcmplx_0 @t2)) % 0.95/1.17 (define @t10 () (tptp.element @t2 @t1)) % 0.95/1.17 (define @t11 () (@list @t2)) % 0.95/1.17 (define @t12 () (tptp.v1_membered @t1)) % 0.95/1.17 (define @t13 () (@list @t1)) % 0.95/1.17 (define @t14 () (tptp.v1_xreal_0 @t2)) % 0.95/1.17 (define @t15 () (tptp.v2_membered @t1)) % 0.95/1.17 (define @t16 () (tptp.v1_rat_1 @t2)) % 0.95/1.17 (define @t17 () (tptp.v3_membered @t1)) % 0.95/1.17 (define @t18 () (tptp.v1_int_1 @t2)) % 0.95/1.17 (define @t19 () (tptp.v4_membered @t1)) % 0.95/1.17 (define @t20 () (tptp.natural @t2)) % 0.95/1.17 (define @t21 () (tptp.v5_membered @t1)) % 0.95/1.17 (define @t22 () (tptp.empty @t1)) % 0.95/1.17 (define @t23 () (tptp.v1_membered @t2)) % 0.95/1.17 (define @t24 () (tptp.powerset @t1)) % 0.95/1.17 (define @t25 () (tptp.element @t2 @t24)) % 0.95/1.17 (define @t26 () (tptp.v2_membered @t2)) % 0.95/1.17 (define @t27 () (tptp.v3_membered @t2)) % 0.95/1.17 (define @t28 () (tptp.v4_membered @t2)) % 0.95/1.17 (define @t29 () (tptp.ordinal @t2)) % 0.95/1.17 (define @t30 () (tptp.epsilon_connected @t2)) % 0.95/1.17 (define @t31 () (tptp.epsilon_transitive @t2)) % 0.95/1.17 (define @t32 () (tptp.ordinal @t1)) % 0.95/1.17 (define @t33 () (tptp.finite @t1)) % 0.95/1.17 (define @t34 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 0.95/1.17 (define @t35 () (tptp.preboolean @t1)) % 0.95/1.17 (define @t36 () (tptp.function @t1)) % 0.95/1.17 (define @t37 () (tptp.epsilon_connected @t1)) % 0.95/1.17 (define @t38 () (tptp.epsilon_transitive @t1)) % 0.95/1.17 (define @t39 () (and @t38 @t37)) % 0.95/1.17 (define @t40 () (tptp.relation @t1)) % 0.95/1.17 (define @t41 () (@var "C" $$unsorted)) % 0.95/1.17 (define @t42 () (tptp.relation @t41)) % 0.95/1.17 (define @t43 () (tptp.cartesian_product2 @t1 @t2)) % 0.95/1.17 (define @t44 () (tptp.element @t41 (tptp.powerset @t43))) % 0.95/1.17 (define @t45 () (@list @t1 @t2 @t41)) % 0.95/1.17 (define @t46 () (tptp.natural @t1)) % 0.95/1.17 (define @t47 () (and @t38 @t37 @t32 @t46)) % 0.95/1.17 (define @t48 () (tptp.finite @t2)) % 0.95/1.17 (define @t49 () (tptp.one_to_one @t1)) % 0.95/1.17 (define @t50 () (and @t40 @t36 @t49)) % 0.95/1.17 (define @t51 () (and @t40 @t22 @t36)) % 0.95/1.17 (define @t52 () (and @t38 @t37 @t32)) % 0.95/1.17 (define @t53 () (tptp.unordered_pair @t1 @t2)) % 0.95/1.17 (define @t54 () (tptp.set_union2 @t2 @t1)) % 0.95/1.17 (define @t55 () (tptp.set_union2 @t1 @t2)) % 0.95/1.17 (define @t56 () (tptp.join_commut @t1 @t2 @t41)) % 0.95/1.17 (define @t57 () (tptp.the_carrier @t1)) % 0.95/1.17 (define @t58 () (tptp.element @t41 @t57)) % 0.95/1.17 (define @t59 () (tptp.element @t2 @t57)) % 0.95/1.17 (define @t60 () (tptp.join_semilatt_str @t1)) % 0.95/1.17 (define @t61 () (tptp.join_commutative @t1)) % 0.95/1.17 (define @t62 () (not (tptp.empty_carrier @t1))) % 0.95/1.17 (define @t63 () (and @t62 @t61 @t60 @t59 @t58)) % 0.95/1.17 (define @t64 () (tptp.set_intersection2 @t2 @t1)) % 0.95/1.17 (define @t65 () (tptp.set_intersection2 @t1 @t2)) % 0.95/1.17 (define @t66 () (tptp.meet_commut @t1 @t2 @t41)) % 0.95/1.17 (define @t67 () (tptp.meet_semilatt_str @t1)) % 0.95/1.17 (define @t68 () (tptp.meet_commutative @t1)) % 0.95/1.17 (define @t69 () (and @t62 @t68 @t67 @t59 @t58)) % 0.95/1.17 (define @t70 () (tptp.subset_intersection2 @t1 @t2 @t41)) % 0.95/1.17 (define @t71 () (tptp.element @t41 @t24)) % 0.95/1.17 (define @t72 () (and @t25 @t71)) % 0.95/1.17 (define @t73 () (tptp.ordinal_subset @t1 @t2)) % 0.95/1.17 (define @t74 () (and @t32 @t29)) % 0.95/1.17 (define @t75 () (@var "D" $$unsorted)) % 0.95/1.17 (define @t76 () (= @t41 @t75)) % 0.95/1.17 (define @t77 () (tptp.in @t41 @t1)) % 0.95/1.17 (define @t78 () (tptp.ordered_pair @t41 @t75)) % 0.95/1.17 (define @t79 () (tptp.in @t78 @t2)) % 0.95/1.17 (define @t80 () (@list @t41 @t75)) % 0.95/1.17 (define @t81 () (tptp.identity_relation @t1)) % 0.95/1.17 (define @t82 () (= @t2 @t81)) % 0.95/1.17 (define @t83 () (tptp.relation @t2)) % 0.95/1.17 (define @t84 () (tptp.subset @t2 @t1)) % 0.95/1.17 (define @t85 () (tptp.subset @t1 @t2)) % 0.95/1.17 (define @t86 () (= @t1 @t2)) % 0.95/1.17 (define @t87 () (@var "E" $$unsorted)) % 0.95/1.17 (define @t88 () (tptp.ordered_pair @t75 @t87)) % 0.95/1.17 (define @t89 () (tptp.in @t88 @t1)) % 0.95/1.17 (define @t90 () (tptp.in @t75 @t2)) % 0.95/1.17 (define @t91 () (tptp.in @t88 @t41)) % 0.95/1.17 (define @t92 () (@list @t75 @t87)) % 0.95/1.17 (define @t93 () (tptp.relation_dom_restriction @t1 @t2)) % 0.95/1.17 (define @t94 () (@list @t2 @t41)) % 0.95/1.17 (define @t95 () (tptp.in @t87 @t2)) % 0.95/1.17 (define @t96 () (tptp.relation_dom @t1)) % 0.95/1.17 (define @t97 () (@list @t87)) % 0.95/1.17 (define @t98 () (tptp.in @t75 @t41)) % 0.95/1.17 (define @t99 () (@list @t75)) % 0.95/1.17 (define @t100 () (tptp.relation_image @t1 @t2)) % 0.95/1.17 (define @t101 () (= @t41 @t100)) % 0.95/1.17 (define @t102 () (and @t40 @t36)) % 0.95/1.17 (define @t103 () (tptp.in @t87 @t1)) % 0.95/1.17 (define @t104 () (tptp.relation_rng_restriction @t1 @t2)) % 0.95/1.17 (define @t105 () (@list @t41)) % 0.95/1.17 (define @t106 () (tptp.relation_field @t1)) % 0.95/1.17 (define @t107 () (tptp.antisymmetric @t1)) % 0.95/1.17 (define @t108 () (tptp.apply @t1 @t75)) % 0.95/1.17 (define @t109 () (tptp.in @t75 @t96)) % 0.95/1.17 (define @t110 () (= @t41 (tptp.relation_inverse_image @t1 @t2))) % 0.95/1.17 (define @t111 () (tptp.powerset @t57)) % 0.95/1.17 (define @t112 () (tptp.element @t87 @t111)) % 0.95/1.17 (define @t113 () (tptp.topstr_closure @t1 @t2)) % 0.95/1.17 (define @t114 () (tptp.element @t41 @t111)) % 0.95/1.17 (define @t115 () (tptp.element @t2 @t111)) % 0.95/1.17 (define @t116 () (tptp.top_str @t1)) % 0.95/1.17 (define @t117 () (tptp.ordered_pair @t87 @t75)) % 0.95/1.17 (define @t118 () (tptp.connected @t1)) % 0.95/1.17 (define @t119 () (tptp.transitive @t1)) % 0.95/1.17 (define @t120 () (tptp.in @t87 @t75)) % 0.95/1.17 (define @t121 () (@list @t1 @t2 @t41 @t75)) % 0.95/1.17 (define @t122 () (tptp.relation_dom @t2)) % 0.95/1.17 (define @t123 () (tptp.relation_rng @t2)) % 0.95/1.17 (define @t124 () (tptp.function @t2)) % 0.95/1.17 (define @t125 () (tptp.in (tptp.ordered_pair @t2 @t75) @t1)) % 0.95/1.17 (define @t126 () (tptp.ordered_pair @t2 @t41)) % 0.95/1.17 (define @t127 () (tptp.in @t126 @t1)) % 0.95/1.17 (define @t128 () (@list @t2 @t41 @t75)) % 0.95/1.17 (define @t129 () (= @t41 tptp.empty_set)) % 0.95/1.17 (define @t130 () (tptp.quasi_total @t41 @t1 @t2)) % 0.95/1.17 (define @t131 () (= @t1 tptp.empty_set)) % 0.95/1.17 (define @t132 () (= @t2 tptp.empty_set)) % 0.95/1.17 (define @t133 () (tptp.relation_dom_as_subset @t1 @t2 @t41)) % 0.95/1.17 (define @t134 () (tptp.relation_of2_as_subset @t41 @t1 @t2)) % 0.95/1.17 (define @t135 () (tptp.the_L_join @t1)) % 0.95/1.17 (define @t136 () (tptp.join @t1 @t2 @t41)) % 0.95/1.17 (define @t137 () (and @t62 @t60)) % 0.95/1.17 (define @t138 () (= @t2 @t41)) % 0.95/1.17 (define @t139 () (= @t1 @t78)) % 0.95/1.17 (define @t140 () (exists @t94 (= @t1 @t126))) % 0.95/1.17 (define @t141 () (tptp.singleton @t1)) % 0.95/1.17 (define @t142 () (tptp.succ @t1)) % 0.95/1.17 (define @t143 () (tptp.the_topology @t1)) % 0.95/1.17 (define @t144 () (tptp.in @t2 @t143)) % 0.95/1.17 (define @t145 () (tptp.powerset @t111)) % 0.95/1.17 (define @t146 () (tptp.element @t2 @t145)) % 0.95/1.17 (define @t147 () (tptp.topological_space @t1)) % 0.95/1.17 (define @t148 () (tptp.in @t41 @t2)) % 0.95/1.17 (define @t149 () (tptp.is_reflexive_in @t1 @t2)) % 0.95/1.17 (define @t150 () (tptp.relation_of2 @t41 @t1 @t2)) % 0.95/1.17 (define @t151 () (= @t2 (tptp.set_meet @t1))) % 0.95/1.17 (define @t152 () (tptp.in @t41 @t75)) % 0.95/1.17 (define @t153 () (tptp.in @t75 @t1)) % 0.95/1.17 (define @t154 () (not @t131)) % 0.95/1.17 (define @t155 () (= @t75 @t2)) % 0.95/1.17 (define @t156 () (tptp.subset @t41 @t75)) % 0.95/1.17 (define @t157 () (tptp.relation_field @t2)) % 0.95/1.17 (define @t158 () (tptp.inclusion_relation @t1)) % 0.95/1.17 (define @t159 () (tptp.the_L_meet @t1)) % 0.95/1.17 (define @t160 () (tptp.meet @t1 @t2 @t41)) % 0.95/1.17 (define @t161 () (= @t2 @t75)) % 0.95/1.17 (define @t162 () (tptp.empty_carrier_subset @t1)) % 0.95/1.17 (define @t163 () (tptp.one_sorted_str @t1)) % 0.95/1.17 (define @t164 () (tptp.in @t78 @t1)) % 0.95/1.17 (define @t165 () (tptp.empty @t2)) % 0.95/1.17 (define @t166 () (not @t22)) % 0.95/1.17 (define @t167 () (not @t132)) % 0.95/1.17 (define @t168 () (tptp.well_founded_relation @t1)) % 0.95/1.17 (define @t169 () (@var "F" $$unsorted)) % 0.95/1.17 (define @t170 () (tptp.ordered_pair @t87 @t169)) % 0.95/1.17 (define @t171 () (tptp.in @t169 @t2)) % 0.95/1.17 (define @t172 () (@list @t87 @t169)) % 0.95/1.17 (define @t173 () (tptp.below @t1 @t2 @t41)) % 0.95/1.17 (define @t174 () (not @t148)) % 0.95/1.17 (define @t175 () (not @t138)) % 0.95/1.17 (define @t176 () (tptp.in @t2 @t41)) % 0.95/1.17 (define @t177 () (tptp.cast_as_carrier_subset @t1)) % 0.95/1.17 (define @t178 () (forall @t105 (=> @t77 @t148))) % 0.95/1.17 (define @t179 () (not @t129)) % 0.95/1.17 (define @t180 () (tptp.subset @t41 @t2)) % 0.95/1.17 (define @t181 () (tptp.is_well_founded_in @t1 @t2)) % 0.95/1.17 (define @t182 () (tptp.apply @t1 @t2)) % 0.95/1.17 (define @t183 () (= @t41 @t182)) % 0.95/1.17 (define @t184 () (tptp.in @t2 @t96)) % 0.95/1.17 (define @t185 () (tptp.in (tptp.ordered_pair @t75 @t41) @t1)) % 0.95/1.17 (define @t186 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.95/1.17 (define @t187 () (tptp.cast_to_subset @t1)) % 0.95/1.17 (define @t188 () (tptp.union @t1)) % 0.95/1.17 (define @t189 () (tptp.reflexive @t1)) % 0.95/1.17 (define @t190 () (tptp.well_ordering @t1)) % 0.95/1.17 (define @t191 () (tptp.relation_rng @t41)) % 0.95/1.17 (define @t192 () (tptp.relation_dom @t41)) % 0.95/1.17 (define @t193 () (= @t192 @t1)) % 0.95/1.17 (define @t194 () (tptp.one_to_one @t41)) % 0.95/1.17 (define @t195 () (tptp.function @t41)) % 0.95/1.17 (define @t196 () (tptp.equipotent @t1 @t2)) % 0.95/1.17 (define @t197 () (tptp.set_difference @t1 @t2)) % 0.95/1.17 (define @t198 () (and @t109 (= @t41 @t108))) % 0.95/1.17 (define @t199 () (tptp.relation_rng @t1)) % 0.95/1.17 (define @t200 () (= @t2 @t199)) % 0.95/1.17 (define @t201 () (tptp.being_limit_ordinal @t1)) % 0.95/1.17 (define @t202 () (tptp.open_subset @t2 @t1)) % 0.95/1.17 (define @t203 () (tptp.subset_complement @t1 @t2)) % 0.95/1.17 (define @t204 () (tptp.ordered_pair @t1 @t2)) % 0.95/1.17 (define @t205 () (tptp.is_connected_in @t1 @t2)) % 0.95/1.17 (define @t206 () (tptp.is_transitive_in @t1 @t2)) % 0.95/1.17 (define @t207 () (tptp.subset_difference @t57 @t177 @t2)) % 0.95/1.17 (define @t208 () (tptp.closed_subset @t2 @t1)) % 0.95/1.17 (define @t209 () (= @t208 (tptp.open_subset @t207 @t1))) % 0.95/1.17 (define @t210 () (forall @t11 (=> @t115 @t209))) % 0.95/1.17 (define @t211 () (=> @t116 @t210)) % 0.95/1.17 (define @t212 () (forall @t13 @t211)) % 0.95/1.17 (define @t213 () (tptp.cartesian_product2 @t2 @t2)) % 0.95/1.17 (define @t214 () (tptp.relation_restriction @t1 @t2)) % 0.95/1.17 (define @t215 () (tptp.relation_inverse @t1)) % 0.95/1.17 (define @t216 () (tptp.apply @t41 @t87)) % 0.95/1.17 (define @t217 () (tptp.apply @t41 @t75)) % 0.95/1.17 (define @t218 () (tptp.relation_isomorphism @t1 @t2 @t41)) % 0.95/1.17 (define @t219 () (and @t42 @t195)) % 0.95/1.17 (define @t220 () (tptp.disjoint @t1 @t2)) % 0.95/1.17 (define @t221 () (tptp.meet_absorbing @t1)) % 0.95/1.17 (define @t222 () (tptp.latt_str @t1)) % 0.95/1.17 (define @t223 () (@list @t169)) % 0.95/1.17 (define @t224 () (tptp.relation_composition @t1 @t2)) % 0.95/1.17 (define @t225 () (@list @t41 @t75 @t87)) % 0.95/1.17 (define @t226 () (tptp.complements_of_subsets @t1 @t2)) % 0.95/1.17 (define @t227 () (tptp.powerset @t24)) % 0.95/1.17 (define @t228 () (tptp.element @t2 @t227)) % 0.95/1.17 (define @t229 () (not @t86)) % 0.95/1.17 (define @t230 () (tptp.function_inverse @t1)) % 0.95/1.17 (define @t231 () (tptp.apply_binary_as_element @t1 @t2 @t41 @t75 @t87 @t169)) % 0.95/1.17 (define @t232 () (tptp.function @t75)) % 0.95/1.17 (define @t233 () (not @t165)) % 0.95/1.17 (define @t234 () (and @t166 @t233 @t232 (tptp.quasi_total @t75 @t43 @t41) (tptp.relation_of2 @t75 @t43 @t41) (tptp.element @t87 @t1) (tptp.element @t169 @t2))) % 0.95/1.17 (define @t235 () (@list @t1 @t2 @t41 @t75 @t87 @t169)) % 0.95/1.17 (define @t236 () (tptp.element @t203 @t24)) % 0.95/1.17 (define @t237 () (forall @t6 (=> @t25 @t236))) % 0.95/1.17 (define @t238 () (tptp.relation @t215)) % 0.95/1.17 (define @t239 () (tptp.relation @t224)) % 0.95/1.17 (define @t240 () (and @t40 @t83)) % 0.95/1.17 (define @t241 () (tptp.powerset @t2)) % 0.95/1.17 (define @t242 () (tptp.relation_rng_as_subset @t1 @t2 @t41)) % 0.95/1.17 (define @t243 () (tptp.union_of_subsets @t1 @t2)) % 0.95/1.17 (define @t244 () (tptp.relation @t81)) % 0.95/1.17 (define @t245 () (tptp.meet_of_subsets @t1 @t2)) % 0.95/1.17 (define @t246 () (tptp.subset_difference @t1 @t2 @t41)) % 0.95/1.17 (define @t247 () (tptp.relation @t93)) % 0.95/1.17 (define @t248 () (tptp.relation @t104)) % 0.95/1.17 (define @t249 () (forall @t13 (=> @t116 @t163))) % 0.95/1.17 (define @t250 () (tptp.cartesian_product2 @t57 @t57)) % 0.95/1.17 (define @t251 () (tptp.finite @t65)) % 0.95/1.17 (define @t252 () (tptp.relation_composition @t2 @t1)) % 0.95/1.17 (define @t253 () (and @t22 @t83)) % 0.95/1.17 (define @t254 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.95/1.17 (define @t255 () (tptp.relation tptp.empty_set)) % 0.95/1.17 (define @t256 () (tptp.empty tptp.empty_set)) % 0.95/1.17 (define @t257 () (tptp.relation_empty_yielding @t1)) % 0.95/1.17 (define @t258 () (and @t40 @t257)) % 0.95/1.17 (define @t259 () (not (tptp.empty @t141))) % 0.95/1.17 (define @t260 () (not (tptp.empty @t24))) % 0.95/1.17 (define @t261 () (not (tptp.empty @t142))) % 0.95/1.17 (define @t262 () (and @t62 @t163)) % 0.95/1.17 (define @t263 () (tptp.v1_membered @t65)) % 0.95/1.17 (define @t264 () (tptp.v1_membered @t64)) % 0.95/1.17 (define @t265 () (tptp.v2_membered @t65)) % 0.95/1.17 (define @t266 () (tptp.ordinal @t142)) % 0.95/1.17 (define @t267 () (tptp.epsilon_connected @t142)) % 0.95/1.17 (define @t268 () (tptp.epsilon_transitive @t142)) % 0.95/1.17 (define @t269 () (tptp.v2_membered @t64)) % 0.95/1.17 (define @t270 () (tptp.v3_membered @t65)) % 0.95/1.17 (define @t271 () (tptp.v3_membered @t64)) % 0.95/1.17 (define @t272 () (tptp.v4_membered @t65)) % 0.95/1.17 (define @t273 () (tptp.v4_membered @t64)) % 0.95/1.17 (define @t274 () (tptp.v1_membered @t197)) % 0.95/1.17 (define @t275 () (tptp.v2_membered @t197)) % 0.95/1.17 (define @t276 () (tptp.v3_membered @t197)) % 0.95/1.17 (define @t277 () (tptp.v4_membered @t197)) % 0.95/1.17 (define @t278 () (and @t83 @t124)) % 0.95/1.17 (define @t279 () (and @t147 @t116)) % 0.95/1.17 (define @t280 () (tptp.empty @t96)) % 0.95/1.17 (define @t281 () (and @t166 @t40)) % 0.95/1.17 (define @t282 () (tptp.empty @t199)) % 0.95/1.17 (define @t283 () (tptp.subset_complement @t1 @t203)) % 0.95/1.17 (define @t284 () (=> @t25 (= @t283 @t2))) % 0.95/1.17 (define @t285 () (forall @t6 @t284)) % 0.95/1.17 (define @t286 () (tptp.in @t2 @t106)) % 0.95/1.17 (define @t287 () (tptp.disjoint @t141 @t2)) % 0.95/1.17 (define @t288 () (not @t5)) % 0.95/1.17 (define @t289 () (tptp.well_ordering @t2)) % 0.95/1.17 (define @t290 () (tptp.in (tptp.ordered_pair @t41 @t2) @t1)) % 0.95/1.17 (define @t291 () (tptp.singleton @t41)) % 0.95/1.17 (define @t292 () (not @t127)) % 0.95/1.17 (define @t293 () (tptp.singleton @t2)) % 0.95/1.17 (define @t294 () (tptp.union @t2)) % 0.95/1.17 (define @t295 () (tptp.in @t1 @t41)) % 0.95/1.17 (define @t296 () (tptp.element @t1 @t241)) % 0.95/1.17 (define @t297 () (tptp.relation_dom_restriction @t41 @t1)) % 0.95/1.17 (define @t298 () (tptp.in @t2 (tptp.relation_dom @t297))) % 0.95/1.17 (define @t299 () (tptp.one_to_one @t2)) % 0.95/1.17 (define @t300 () (tptp.set_intersection2 @t2 @t41)) % 0.95/1.17 (define @t301 () (tptp.set_difference @t2 @t41)) % 0.95/1.17 (define @t302 () (@var "K" $$unsorted)) % 0.95/1.17 (define @t303 () (@var "J" $$unsorted)) % 0.95/1.17 (define @t304 () (tptp.in @t302 @t303)) % 0.95/1.17 (define @t305 () (@list @t302)) % 0.95/1.17 (define @t306 () (@list @t303)) % 0.95/1.17 (define @t307 () (= @t75 @t87)) % 0.95/1.17 (define @t308 () (@var "I" $$unsorted)) % 0.95/1.17 (define @t309 () (@var "H" $$unsorted)) % 0.95/1.17 (define @t310 () (tptp.in @t308 @t309)) % 0.95/1.17 (define @t311 () (@list @t308)) % 0.95/1.17 (define @t312 () (@list @t309)) % 0.95/1.17 (define @t313 () (exists @t312 (and (= @t41 @t309) (tptp.in @t87 @t309) (forall @t311 (=> @t310 (tptp.in (tptp.ordered_pair @t87 @t308) @t2)))))) % 0.95/1.17 (define @t314 () (@var "G" $$unsorted)) % 0.95/1.17 (define @t315 () (tptp.in @t314 @t169)) % 0.95/1.17 (define @t316 () (@list @t314)) % 0.95/1.17 (define @t317 () (exists @t223 (and (= @t41 @t169) (tptp.in @t75 @t169) (forall @t316 (=> @t315 (tptp.in (tptp.ordered_pair @t75 @t314) @t2)))))) % 0.95/1.17 (define @t318 () (forall @t225 (=> (and @t77 @t317 @t77 @t313) @t307))) % 0.95/1.17 (define @t319 () (and @t166 @t83)) % 0.95/1.17 (define @t320 () (= @t75 @t293)) % 0.95/1.17 (define @t321 () (= @t41 @t293)) % 0.95/1.17 (define @t322 () (forall @t128 (=> (and @t3 @t321 @t3 @t320) @t76))) % 0.95/1.17 (define @t323 () (tptp.ordinal @t41)) % 0.95/1.17 (define @t324 () (@var "S" $$unsorted)) % 0.95/1.17 (define @t325 () (@var "T" $$unsorted)) % 0.95/1.17 (define @t326 () (@var "R" $$unsorted)) % 0.95/1.17 (define @t327 () (tptp.powerset (tptp.powerset @t75))) % 0.95/1.17 (define @t328 () (@list @t326)) % 0.95/1.17 (define @t329 () (tptp.in @t75 tptp.omega)) % 0.95/1.17 (define @t330 () (tptp.ordinal @t75)) % 0.95/1.17 (define @t331 () (@var "P" $$unsorted)) % 0.95/1.17 (define @t332 () (@var "Q" $$unsorted)) % 0.95/1.17 (define @t333 () (@var "O" $$unsorted)) % 0.95/1.17 (define @t334 () (@list @t332)) % 0.95/1.17 (define @t335 () (@list @t331)) % 0.95/1.17 (define @t336 () (@list @t333)) % 0.95/1.17 (define @t337 () (@var "M" $$unsorted)) % 0.95/1.17 (define @t338 () (@var "N" $$unsorted)) % 0.95/1.17 (define @t339 () (@var "L" $$unsorted)) % 0.95/1.17 (define @t340 () (@list @t338)) % 0.95/1.17 (define @t341 () (tptp.in @t337 @t339)) % 0.95/1.17 (define @t342 () (@list @t337)) % 0.95/1.17 (define @t343 () (@list @t339)) % 0.95/1.17 (define @t344 () (tptp.succ @t75)) % 0.95/1.17 (define @t345 () (=> @t329 (forall @t97 (=> (tptp.element @t87 @t327) (not (and (not (= @t87 tptp.empty_set)) (forall @t223 (not (and (tptp.in @t169 @t87) (forall @t316 (=> (and (tptp.in @t314 @t87) (tptp.subset @t169 @t314)) (= @t314 @t169)))))))))))) % 0.95/1.17 (define @t346 () (tptp.subset @t2 @t41)) % 0.95/1.17 (define @t347 () (tptp.powerset tptp.empty_set)) % 0.95/1.17 (define @t348 () (tptp.apply @t41 @t169)) % 0.95/1.17 (define @t349 () (tptp.in @t169 @t1)) % 0.95/1.17 (define @t350 () (tptp.relation @t75)) % 0.95/1.17 (define @t351 () (and @t83 @t42 @t195)) % 0.95/1.17 (define @t352 () (forall @t305 (=> @t304 (tptp.in (tptp.ordered_pair @t75 @t302) @t2)))) % 0.95/1.17 (define @t353 () (tptp.in @t75 @t303)) % 0.95/1.17 (define @t354 () (= @t169 @t87)) % 0.95/1.17 (define @t355 () (tptp.cartesian_product2 @t1 @t41)) % 0.95/1.17 (define @t356 () (= @t87 @t169)) % 0.95/1.17 (define @t357 () (tptp.ordered_pair @t302 @t339)) % 0.95/1.17 (define @t358 () (@list @t302 @t339)) % 0.95/1.17 (define @t359 () (= @t75 @t169)) % 0.95/1.17 (define @t360 () (tptp.in @t303 @t308)) % 0.95/1.17 (define @t361 () (tptp.in @t314 @t1)) % 0.95/1.17 (define @t362 () (tptp.ordered_pair @t314 @t309)) % 0.95/1.17 (define @t363 () (@list @t314 @t309)) % 0.95/1.17 (define @t364 () (@list @t75 @t87 @t169)) % 0.95/1.17 (define @t365 () (= @t87 @t75)) % 0.95/1.17 (define @t366 () (tptp.in @t309 @t1)) % 0.95/1.17 (define @t367 () (= @t41 @t87)) % 0.95/1.17 (define @t368 () (tptp.ordered_pair @t169 @t314)) % 0.95/1.17 (define @t369 () (@list @t169 @t314)) % 0.95/1.17 (define @t370 () (= @t75 @t41)) % 0.95/1.17 (define @t371 () (not (and (not (= @t169 tptp.empty_set)) (forall @t316 (not (and @t315 (forall @t312 (=> (and (tptp.in @t309 @t169) (tptp.subset @t314 @t309)) (= @t309 @t314))))))))) % 0.95/1.17 (define @t372 () (tptp.ordinal @t87)) % 0.95/1.17 (define @t373 () (tptp.subset @t2 @t75)) % 0.95/1.17 (define @t374 () (tptp.in @t87 @t111)) % 0.95/1.17 (define @t375 () (and @t147 @t116 @t115)) % 0.95/1.17 (define @t376 () (tptp.in (tptp.set_difference @t177 @t75) @t2)) % 0.95/1.17 (define @t377 () (and @t147 @t116 @t146)) % 0.95/1.17 (define @t378 () (and @t32 (tptp.element @t2 (tptp.powerset (tptp.powerset @t142))))) % 0.95/1.17 (define @t379 () (tptp.cartesian_product2 @t1 @t1)) % 0.95/1.17 (define @t380 () (tptp.apply @t41 @t314)) % 0.95/1.17 (define @t381 () (tptp.in (tptp.relation_image @t41 @t87) @t2)) % 0.95/1.17 (define @t382 () (tptp.powerset @t192)) % 0.95/1.17 (define @t383 () (and @t228 @t42 @t195)) % 0.95/1.17 (define @t384 () (tptp.succ @t2)) % 0.95/1.17 (define @t385 () (exists @t97 (and @t112 @t365 (tptp.closed_subset @t87 @t1) @t373))) % 0.95/1.17 (define @t386 () (tptp.in @t75 @t111)) % 0.95/1.17 (define @t387 () (tptp.apply @t2 @t41)) % 0.95/1.17 (define @t388 () (= @t122 @t1)) % 0.95/1.17 (define @t389 () (exists @t11 (and @t83 @t124 @t388 (forall @t105 (=> @t77 (= @t387 @t291)))))) % 0.95/1.17 (define @t390 () (tptp.in @t1 tptp.omega)) % 0.95/1.17 (define @t391 () (tptp.element @t75 @t111)) % 0.95/1.17 (define @t392 () (tptp.element @t41 @t145)) % 0.95/1.17 (define @t393 () (= @t1 @t41)) % 0.95/1.17 (define @t394 () (tptp.relation_rng @t104)) % 0.95/1.17 (define @t395 () (forall @t105 (not (and @t180 (not (tptp.are_equipotent @t41 @t2)) @t174)))) % 0.95/1.17 (define @t396 () (tptp.powerset @t41)) % 0.95/1.17 (define @t397 () (forall @t80 (=> (and @t148 (tptp.subset @t75 @t41)) @t90))) % 0.95/1.17 (define @t398 () (tptp.relation_dom_restriction @t41 @t2)) % 0.95/1.17 (define @t399 () (tptp.relation_image @t2 @t1)) % 0.95/1.17 (define @t400 () (tptp.relation_inverse_image @t2 @t1)) % 0.95/1.17 (define @t401 () (tptp.relation_image @t2 @t400)) % 0.95/1.17 (define @t402 () (tptp.set_intersection2 @t122 @t1)) % 0.95/1.17 (define @t403 () (tptp.subset @t1 @t123)) % 0.95/1.17 (define @t404 () (tptp.relation_of2_as_subset @t75 @t41 @t2)) % 0.95/1.17 (define @t405 () (tptp.relation_rng @t75)) % 0.95/1.17 (define @t406 () (tptp.relation_of2_as_subset @t75 @t41 @t1)) % 0.95/1.17 (define @t407 () (tptp.relation_rng @t224)) % 0.95/1.17 (define @t408 () (tptp.relation_inverse_image @t41 @t2)) % 0.95/1.17 (define @t409 () (tptp.relation_restriction @t41 @t2)) % 0.95/1.17 (define @t410 () (tptp.subset_complement @t57 @t2)) % 0.95/1.17 (define @t411 () (=> @t115 (= @t410 @t207))) % 0.95/1.17 (define @t412 () (forall @t11 @t411)) % 0.95/1.17 (define @t413 () (=> @t163 @t412)) % 0.95/1.17 (define @t414 () (forall @t13 @t413)) % 0.95/1.17 (define @t415 () (tptp.relation_restriction @t2 @t1)) % 0.95/1.17 (define @t416 () (tptp.relation_dom_restriction @t2 @t1)) % 0.95/1.17 (define @t417 () (tptp.relation_field @t41)) % 0.95/1.17 (define @t418 () (tptp.in @t1 @t417)) % 0.95/1.17 (define @t419 () (tptp.subset @t1 @t41)) % 0.95/1.17 (define @t420 () (tptp.element @t1 @t2)) % 0.95/1.17 (define @t421 () (tptp.in @t1 @t192)) % 0.95/1.17 (define @t422 () (tptp.in @t204 @t41)) % 0.95/1.17 (define @t423 () (tptp.relation_field @t415)) % 0.95/1.17 (define @t424 () (tptp.apply @t41 @t1)) % 0.95/1.17 (define @t425 () (tptp.relation_composition @t41 @t2)) % 0.95/1.17 (define @t426 () (tptp.in @t1 (tptp.relation_dom @t425))) % 0.95/1.17 (define @t427 () (tptp.apply @t75 @t41)) % 0.95/1.17 (define @t428 () (and @t232 (tptp.quasi_total @t75 @t1 @t2) (tptp.relation_of2_as_subset @t75 @t1 @t2))) % 0.95/1.17 (define @t429 () (tptp.subset_difference @t57 @t177 @t207)) % 0.95/1.17 (define @t430 () (=> @t115 (= @t429 @t2))) % 0.95/1.17 (define @t431 () (forall @t11 @t430)) % 0.95/1.17 (define @t432 () (=> @t163 @t431)) % 0.95/1.17 (define @t433 () (forall @t13 @t432)) % 0.95/1.17 (define @t434 () (tptp.reflexive @t2)) % 0.95/1.17 (define @t435 () (tptp.connected @t2)) % 0.95/1.17 (define @t436 () (tptp.transitive @t2)) % 0.95/1.17 (define @t437 () (tptp.antisymmetric @t2)) % 0.95/1.17 (define @t438 () (tptp.well_ordering @t415)) % 0.95/1.17 (define @t439 () (= @t423 @t1)) % 0.95/1.17 (define @t440 () (tptp.well_orders @t2 @t1)) % 0.95/1.17 (define @t441 () (= @t202 (tptp.closed_subset @t410 @t1))) % 0.95/1.17 (define @t442 () (forall @t11 (=> @t115 @t441))) % 0.95/1.17 (define @t443 () (=> @t116 @t442)) % 0.95/1.17 (define @t444 () (forall @t13 @t443)) % 0.95/1.17 (define @t445 () (not @t444)) % 0.95/1.17 (define @t446 () (tptp.well_founded_relation @t2)) % 0.95/1.17 (define @t447 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.95/1.17 (define @t448 () (and @t77 @t148)) % 0.95/1.17 (define @t449 () (not @t220)) % 0.95/1.17 (define @t450 () (= @t1 @t384)) % 0.95/1.17 (define @t451 () (tptp.subset_complement @t1 @t41)) % 0.95/1.17 (define @t452 () (tptp.disjoint @t2 @t41)) % 0.95/1.17 (define @t453 () (tptp.relation_dom @t224)) % 0.95/1.17 (define @t454 () (and (tptp.closed_subset @t75 @t1) @t373)) % 0.95/1.17 (define @t455 () (tptp.element @t2 @t396)) % 0.95/1.17 (define @t456 () (tptp.in @t41 @t65)) % 0.95/1.17 (define @t457 () (= @t113 @t2)) % 0.95/1.17 (define @t458 () (and (tptp.in @t41 @t199) (= @t75 @t387))) % 0.95/1.17 (define @t459 () (tptp.function_inverse @t2)) % 0.95/1.17 (define @t460 () (= @t199 tptp.empty_set)) % 0.95/1.17 (define @t461 () (= @t96 tptp.empty_set)) % 0.95/1.17 (define @t462 () (= (tptp.apply @t297 @t2) (tptp.apply @t41 @t2))) % 0.95/1.17 (define @t463 () (= @t141 (tptp.unordered_pair @t2 @t41))) % 0.95/1.17 (define @t464 () (= @t2 @t283)) % 0.95/1.17 (define @t465 () (@var "BOUND_VARIABLE_16367" $$unsorted)) % 0.95/1.17 (define @t466 () (= (tptp.open_subset @t465 @t1) (tptp.closed_subset (tptp.subset_complement @t57 @t465) @t1))) % 0.95/1.17 (define @t467 () (not (tptp.element @t465 @t111))) % 0.95/1.17 (define @t468 () (not @t116)) % 0.95/1.17 (define @t469 () (or @t468 @t467 @t466)) % 0.95/1.17 (define @t470 () (@list @t1 @t465)) % 0.95/1.17 (define @t471 () (forall @t470 @t469)) % 0.95/1.17 (define @t472 () (@quantifiers_skolemize @t471 1)) % 0.95/1.17 (define @t473 () (@quantifiers_skolemize @t471 0)) % 0.95/1.17 (define @t474 () (tptp.the_carrier @t473)) % 0.95/1.17 (define @t475 () (@list @t474 @t472)) % 0.95/1.17 (define @t476 () (or @t467 @t466)) % 0.95/1.17 (define @t477 () (or @t468 @t476)) % 0.95/1.17 (define @t478 () (forall @t470 @t477)) % 0.95/1.17 (define @t479 () (@list @t465)) % 0.95/1.17 (define @t480 () (forall @t479 @t477)) % 0.95/1.17 (define @t481 () (forall @t479 @t476)) % 0.95/1.17 (define @t482 () (@list @t2)) % 0.95/1.17 (define @t483 () (or @t468 @t481)) % 0.95/1.17 (define @t484 () (not @t115)) % 0.95/1.17 (define @t485 () (forall @t11 (or @t484 @t441))) % 0.95/1.17 (define @t486 () (tptp.powerset @t474)) % 0.95/1.17 (define @t487 () (tptp.element @t472 @t486)) % 0.95/1.17 (define @t488 () (tptp.subset_complement @t474 @t472)) % 0.95/1.17 (define @t489 () (tptp.closed_subset @t488 @t473)) % 0.95/1.17 (define @t490 () (tptp.open_subset @t472 @t473)) % 0.95/1.17 (define @t491 () (= @t490 @t489)) % 0.95/1.17 (define @t492 () (not @t487)) % 0.95/1.17 (define @t493 () (tptp.top_str @t473)) % 0.95/1.17 (define @t494 () (not @t493)) % 0.95/1.17 (define @t495 () (or @t494 @t492 @t491)) % 0.95/1.17 (define @t496 () (@list true)) % 0.95/1.17 (define @t497 () (@list @t495)) % 0.95/1.17 (define @t498 () (tptp.subset_complement @t474 @t488)) % 0.95/1.17 (define @t499 () (= @t472 @t498)) % 0.95/1.17 (define @t500 () (or @t492 @t499)) % 0.95/1.17 (define @t501 () (@list false false)) % 0.95/1.17 (define @t502 () (@var "BOUND_VARIABLE_15816" $$unsorted)) % 0.95/1.17 (define @t503 () (= (tptp.subset_difference @t57 @t177 @t502) (tptp.subset_complement @t57 @t502))) % 0.95/1.17 (define @t504 () (not (tptp.element @t502 @t111))) % 0.95/1.17 (define @t505 () (not @t163)) % 0.95/1.17 (define @t506 () (or @t505 @t504 @t503)) % 0.95/1.17 (define @t507 () (or @t504 @t503)) % 0.95/1.17 (define @t508 () (or @t505 @t507)) % 0.95/1.17 (define @t509 () (@list @t1 @t502)) % 0.95/1.17 (define @t510 () (forall @t509 @t508)) % 0.95/1.17 (define @t511 () (@list @t502)) % 0.95/1.17 (define @t512 () (forall @t511 @t508)) % 0.95/1.17 (define @t513 () (forall @t511 @t507)) % 0.95/1.17 (define @t514 () (or @t505 @t513)) % 0.95/1.17 (define @t515 () (= @t207 @t410)) % 0.95/1.17 (define @t516 () (forall @t11 (or @t484 @t515))) % 0.95/1.17 (define @t517 () (tptp.cast_as_carrier_subset @t473)) % 0.95/1.17 (define @t518 () (tptp.subset_difference @t474 @t517 @t472)) % 0.95/1.17 (define @t519 () (tptp.one_sorted_str @t473)) % 0.95/1.17 (define @t520 () (not @t519)) % 0.95/1.17 (define @t521 () (or @t520 @t492 (= @t518 @t488))) % 0.95/1.17 (define @t522 () (forall @t509 @t506)) % 0.95/1.17 (define @t523 () (@list @t473 @t472)) % 0.95/1.17 (define @t524 () (= @t488 @t518)) % 0.95/1.17 (define @t525 () (or @t520 @t492 @t524)) % 0.95/1.17 (define @t526 () (or @t494 @t519)) % 0.95/1.17 (define @t527 () (@list false false false)) % 0.95/1.17 (define @t528 () (@var "BOUND_VARIABLE_16042" $$unsorted)) % 0.95/1.17 (define @t529 () (= @t528 (tptp.subset_difference @t57 @t177 (tptp.subset_difference @t57 @t177 @t528)))) % 0.95/1.17 (define @t530 () (not (tptp.element @t528 @t111))) % 0.95/1.17 (define @t531 () (or @t530 @t529)) % 0.95/1.17 (define @t532 () (or @t505 @t531)) % 0.95/1.17 (define @t533 () (forall (@list @t1 @t528) @t532)) % 0.95/1.17 (define @t534 () (@list @t528)) % 0.95/1.17 (define @t535 () (forall @t534 @t532)) % 0.95/1.17 (define @t536 () (forall @t534 @t531)) % 0.95/1.17 (define @t537 () (or @t505 @t536)) % 0.95/1.17 (define @t538 () (= @t2 @t429)) % 0.95/1.17 (define @t539 () (forall @t11 (or @t484 @t538))) % 0.95/1.17 (define @t540 () (= @t472 (tptp.subset_difference @t474 @t517 @t518))) % 0.95/1.17 (define @t541 () (or @t520 @t492 @t540)) % 0.95/1.17 (define @t542 () (@var "BOUND_VARIABLE_12445" $$unsorted)) % 0.95/1.17 (define @t543 () (= (tptp.closed_subset @t542 @t1) (tptp.open_subset (tptp.subset_difference @t57 @t177 @t542) @t1))) % 0.95/1.17 (define @t544 () (not (tptp.element @t542 @t111))) % 0.95/1.17 (define @t545 () (or @t544 @t543)) % 0.95/1.17 (define @t546 () (or @t468 @t545)) % 0.95/1.17 (define @t547 () (forall (@list @t1 @t542) @t546)) % 0.95/1.17 (define @t548 () (@list @t542)) % 0.95/1.17 (define @t549 () (forall @t548 @t546)) % 0.95/1.17 (define @t550 () (forall @t548 @t545)) % 0.95/1.17 (define @t551 () (or @t468 @t550)) % 0.95/1.17 (define @t552 () (forall @t11 (or @t484 @t209))) % 0.95/1.17 (define @t553 () (tptp.element @t488 @t486)) % 0.95/1.17 (define @t554 () (or @t492 @t553)) % 0.95/1.17 (define @t555 () (tptp.subset_difference @t474 @t517 @t488)) % 0.95/1.17 (define @t556 () (tptp.open_subset @t555 @t473)) % 0.95/1.17 (define @t557 () (= @t489 @t556)) % 0.95/1.17 (define @t558 () (not @t553)) % 0.95/1.17 (define @t559 () (or @t494 @t558 @t557)) % 0.95/1.17 (define @t560 () (not @t557)) % 0.95/1.17 (define @t561 () (not @t556)) % 0.95/1.17 (define @t562 () (tptp.open_subset @t498 @t473)) % 0.95/1.17 (define @t563 () (and @t490 @t499 @t524 @t540)) % 0.95/1.17 (define @t564 () (not @t540)) % 0.95/1.17 (define @t565 () (not @t524)) % 0.95/1.17 (define @t566 () (not @t499)) % 0.95/1.17 (define @t567 () (not @t490)) % 0.95/1.17 (define @t568 () (and @t567 @t499 @t524 @t540)) % 0.95/1.17 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.95/1.17 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.95/1.17 (assume @p3 (forall @t13 (=> @t12 (forall @t11 (=> @t10 @t9))))) % 0.95/1.17 (assume @p4 (forall @t13 (=> @t15 (forall @t11 (=> @t10 (and @t9 @t14)))))) % 0.95/1.17 (assume @p5 (forall @t13 (=> @t17 (forall @t11 (=> @t10 (and @t9 @t14 @t16)))))) % 0.95/1.17 (assume @p6 (forall @t13 (=> @t19 (forall @t11 (=> @t10 (and @t9 @t14 @t18 @t16)))))) % 0.95/1.17 (assume @p7 (forall @t13 (=> @t21 (forall @t11 (=> @t10 (and @t9 @t20 @t14 @t18 @t16)))))) % 0.95/1.17 (assume @p8 (forall @t13 (=> @t22 (and @t12 @t15 @t17 @t19 @t21)))) % 0.95/1.17 (assume @p9 (forall @t13 (=> @t12 (forall @t11 (=> @t25 @t23))))) % 0.95/1.17 (assume @p10 (forall @t13 (=> @t15 (forall @t11 (=> @t25 (and @t23 @t26)))))) % 0.95/1.17 (assume @p11 (forall @t13 (=> @t17 (forall @t11 (=> @t25 (and @t23 @t26 @t27)))))) % 0.95/1.17 (assume @p12 (forall @t13 (=> @t19 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28)))))) % 0.95/1.17 (assume @p13 (forall @t13 (=> @t32 (forall @t11 (=> @t10 (and @t31 @t30 @t29)))))) % 0.95/1.17 (assume @p14 (forall @t13 (=> @t22 @t33))) % 0.95/1.17 (assume @p15 (forall @t13 (=> @t35 @t34))) % 0.95/1.17 (assume @p16 (forall @t13 (=> @t22 @t36))) % 0.95/1.17 (assume @p17 (forall @t13 (=> @t21 @t19))) % 0.95/1.17 (assume @p18 (forall @t13 (=> @t32 @t39))) % 0.95/1.17 (assume @p19 (forall @t13 (=> @t22 @t40))) % 0.95/1.17 (assume @p20 (forall @t45 (=> @t44 @t42))) % 0.95/1.17 (assume @p21 (forall @t13 (=> @t21 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28 (tptp.v5_membered @t2))))))) % 0.95/1.17 (assume @p22 (forall @t13 (=> (and @t22 @t32) @t47))) % 0.95/1.17 (assume @p23 (forall @t13 (=> @t33 (forall @t11 (=> @t25 @t48))))) % 0.95/1.17 (assume @p24 (forall @t13 (=> @t34 @t35))) % 0.95/1.17 (assume @p25 (forall @t13 (=> @t51 @t50))) % 0.95/1.17 (assume @p26 (forall @t13 (=> @t19 @t17))) % 0.95/1.17 (assume @p27 (forall @t13 (=> @t39 @t32))) % 0.95/1.17 (assume @p28 (forall @t13 (=> (tptp.element @t1 tptp.omega) @t47))) % 0.95/1.17 (assume @p29 (forall @t13 (=> @t17 @t15))) % 0.95/1.17 (assume @p30 (forall @t13 (=> @t22 @t52))) % 0.95/1.17 (assume @p31 (forall @t13 (=> @t15 @t12))) % 0.95/1.17 (assume @p32 (forall @t6 (= @t53 (tptp.unordered_pair @t2 @t1)))) % 0.95/1.17 (assume @p33 (forall @t6 (= @t55 @t54))) % 0.95/1.17 (assume @p34 (forall @t45 (=> @t63 (= @t56 (tptp.join_commut @t1 @t41 @t2))))) % 0.95/1.17 (assume @p35 (forall @t6 (= @t65 @t64))) % 0.95/1.17 (assume @p36 (forall @t45 (=> @t69 (= @t66 (tptp.meet_commut @t1 @t41 @t2))))) % 0.95/1.17 (assume @p37 (forall @t45 (=> @t72 (= @t70 (tptp.subset_intersection2 @t1 @t41 @t2))))) % 0.95/1.17 (assume @p38 (forall @t6 (=> @t74 (or @t73 (tptp.ordinal_subset @t2 @t1))))) % 0.95/1.17 (assume @p39 (forall @t6 (=> @t83 (= @t82 (forall @t80 (= @t79 (and @t77 @t76))))))) % 0.95/1.17 (assume @p40 (forall @t6 (= @t86 (and @t85 @t84)))) % 0.95/1.17 (assume @p41 (forall @t13 (=> @t40 (forall @t94 (=> @t42 (= (= @t41 @t93) (forall @t92 (= @t91 (and @t90 @t89))))))))) % 0.95/1.17 (assume @p42 (forall @t13 (=> @t102 (forall @t94 (= @t101 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t87 @t96) @t95 (= @t75 (tptp.apply @t1 @t87))))))))))) % 0.95/1.17 (assume @p43 (forall @t6 (=> @t83 (forall @t105 (=> @t42 (= (= @t41 @t104) (forall @t92 (= @t91 (and @t103 (tptp.in @t88 @t2)))))))))) % 0.95/1.17 (assume @p44 (forall @t13 (=> @t40 (= @t107 (tptp.is_antisymmetric_in @t1 @t106))))) % 0.95/1.17 (assume @p45 (forall @t13 (=> @t102 (forall @t94 (= @t110 (forall @t99 (= @t98 (and @t109 (tptp.in @t108 @t2))))))))) % 0.95/1.17 (assume @p46 (forall @t13 (=> @t116 (forall @t11 (=> @t115 (forall @t105 (=> @t114 (= (= @t41 @t113) (forall @t99 (=> (tptp.in @t75 @t57) (= @t98 (forall @t97 (=> @t112 (not (and (tptp.open_subset @t87 @t1) (tptp.in @t75 @t87) (tptp.disjoint @t2 @t87)))))))))))))))) % 0.95/1.17 (assume @p47 (forall @t13 (=> @t40 (forall @t94 (= @t101 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t117 @t1) @t95))))))))) % 0.95/1.17 (assume @p48 (forall @t13 (=> @t40 (forall @t94 (= @t110 (forall @t99 (= @t98 (exists @t97 (and @t89 @t95))))))))) % 0.95/1.17 (assume @p49 (forall @t13 (=> @t40 (= @t118 (tptp.is_connected_in @t1 @t106))))) % 0.95/1.17 (assume @p50 (forall @t13 (=> @t40 (= @t119 (tptp.is_transitive_in @t1 @t106))))) % 0.95/1.17 (assume @p51 (forall @t121 (= (= @t75 (tptp.unordered_triple @t1 @t2 @t41)) (forall @t97 (= @t120 (not (and (not (= @t87 @t1)) (not (= @t87 @t2)) (not (= @t87 @t41))))))))) % 0.95/1.17 (assume @p52 (forall @t13 (= @t33 (exists @t11 (and @t83 @t124 (= @t123 @t1) (tptp.in @t122 tptp.omega)))))) % 0.95/1.17 (assume @p53 (forall @t13 (= @t36 (forall @t128 (=> (and @t127 @t125) @t76))))) % 0.95/1.17 (assume @p54 (forall @t45 (=> @t134 (and (=> (=> @t132 @t131) (= @t130 (= @t1 @t133))) (=> @t132 (or @t131 (= @t130 @t129))))))) % 0.95/1.17 (assume @p55 (forall @t13 (=> @t137 (forall @t11 (=> @t59 (forall @t105 (=> @t58 (= @t136 (tptp.apply_binary_as_element @t57 @t57 @t57 @t135 @t2 @t41))))))))) % 0.95/1.17 (assume @p56 (forall @t13 (=> @t140 (forall @t11 (= (= @t2 (tptp.pair_first @t1)) (forall @t80 (=> @t139 @t138))))))) % 0.95/1.17 (assume @p57 (forall @t13 (= @t142 (tptp.set_union2 @t1 @t141)))) % 0.95/1.17 (assume @p58 (forall @t13 (=> @t116 (= @t147 (and (tptp.in @t57 @t143) (forall @t11 (=> @t146 (=> (tptp.subset @t2 @t143) (tptp.in (tptp.union_of_subsets @t57 @t2) @t143)))) (forall @t11 (=> @t115 (forall @t105 (=> @t114 (=> (and @t144 (tptp.in @t41 @t143)) (tptp.in (tptp.subset_intersection2 @t57 @t2 @t41) @t143))))))))))) % 0.95/1.17 (assume @p59 (forall @t13 (= @t40 (forall @t11 (not (and @t3 (forall @t80 (not (= @t2 @t78))))))))) % 0.95/1.17 (assume @p60 (forall @t13 (=> @t40 (forall @t11 (= @t149 (forall @t105 (=> @t148 (tptp.in (tptp.ordered_pair @t41 @t41) @t1)))))))) % 0.95/1.17 (assume @p61 (forall @t45 (= @t150 (tptp.subset @t41 @t43)))) % 0.95/1.17 (assume @p62 (forall @t6 (and (=> @t154 (= @t151 (forall @t105 (= @t148 (forall @t99 (=> @t153 @t152)))))) (=> @t131 (= @t151 @t132))))) % 0.95/1.17 (assume @p63 (forall @t6 (= (= @t2 @t141) (forall @t105 (= @t148 (= @t41 @t1)))))) % 0.95/1.17 (assume @p64 (forall @t13 (=> @t40 (forall @t94 (= (= @t41 (tptp.fiber @t1 @t2)) (forall @t99 (= @t98 (and (not @t155) (tptp.in (tptp.ordered_pair @t75 @t2) @t1))))))))) % 0.95/1.17 (assume @p65 (forall @t6 (=> @t83 (= (= @t2 @t158) (and (= @t157 @t1) (forall @t80 (=> (and @t77 @t153) (= @t79 @t156)))))))) % 0.95/1.17 (assume @p66 (forall @t13 (= @t131 (forall @t11 @t4)))) % 0.95/1.17 (assume @p67 (forall @t6 (= (= @t2 @t24) (forall @t105 (= @t148 (tptp.subset @t41 @t1)))))) % 0.95/1.17 (assume @p68 (forall @t13 (=> (and @t62 @t67) (forall @t11 (=> @t59 (forall @t105 (=> @t58 (= @t160 (tptp.apply_binary_as_element @t57 @t57 @t57 @t159 @t2 @t41))))))))) % 0.95/1.17 (assume @p69 (forall @t13 (=> @t140 (forall @t11 (= (= @t2 (tptp.pair_second @t1)) (forall @t80 (=> @t139 @t161))))))) % 0.95/1.17 (assume @p70 (forall @t13 (= @t38 (forall @t11 (=> @t3 @t84))))) % 0.95/1.17 (assume @p71 (forall @t13 (=> @t163 (= @t162 tptp.empty_set)))) % 0.95/1.17 (assume @p72 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= @t86 (forall @t80 (= @t164 @t79)))))))) % 0.95/1.17 (assume @p73 (forall @t6 (and (=> @t166 (= @t10 @t3)) (=> @t22 (= @t10 @t165))))) % 0.95/1.17 (assume @p74 (forall @t45 (= (= @t41 @t53) (forall @t99 (= @t98 (or (= @t75 @t1) @t155)))))) % 0.95/1.17 (assume @p75 (forall @t13 (=> @t40 (= @t168 (forall @t11 (not (and (tptp.subset @t2 @t106) @t167 (forall @t105 (not (and @t148 (tptp.disjoint (tptp.fiber @t1 @t41) @t2))))))))))) % 0.95/1.17 (assume @p76 (forall @t45 (= (= @t41 @t55) (forall @t99 (= @t98 (or @t153 @t90)))))) % 0.95/1.17 (assume @p77 (forall @t45 (= (= @t41 @t43) (forall @t99 (= @t98 (exists @t172 (and @t103 @t171 (= @t75 @t170)))))))) % 0.95/1.17 (assume @p78 (forall @t13 (=> @t137 (forall @t11 (=> @t59 (forall @t105 (=> @t58 (= @t173 (= @t136 @t41))))))))) % 0.95/1.17 (assume @p79 (forall @t13 (= @t37 (forall @t94 (not (and @t3 @t77 (not @t176) @t175 @t174)))))) % 0.95/1.17 (assume @p80 (forall @t13 (=> @t163 (= @t177 @t57)))) % 0.95/1.17 (assume @p81 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= @t85 (forall @t80 (=> @t164 @t79)))))))) % 0.95/1.17 (assume @p82 (forall @t6 (= @t85 @t178))) % 0.95/1.17 (assume @p83 (forall @t13 (=> @t40 (forall @t11 (= @t181 (forall @t105 (not (and @t180 @t179 (forall @t99 (not (and @t98 (tptp.disjoint (tptp.fiber @t1 @t75) @t41)))))))))))) % 0.95/1.17 (assume @p84 (forall @t45 (= (= @t41 @t65) (forall @t99 (= @t98 (and @t153 @t90)))))) % 0.95/1.17 (assume @p85 (forall @t13 (=> @t102 (forall @t94 (and (=> @t184 (= @t183 @t127)) (=> (not @t184) (= @t183 @t129))))))) % 0.95/1.17 (assume @p86 (forall @t13 (= @t32 @t39))) % 0.95/1.17 (assume @p87 (forall @t13 (=> @t40 (forall @t11 (= (= @t2 @t96) (forall @t105 (= @t148 (exists @t99 @t164)))))))) % 0.95/1.17 (assume @p88 (forall @t13 (=> @t40 (forall @t11 (= @t186 (forall @t80 (=> (and @t148 @t90 @t164 @t185) @t76))))))) % 0.95/1.17 (assume @p89 (forall @t13 (= @t187 @t1))) % 0.95/1.17 (assume @p90 (forall @t6 (= (= @t2 @t188) (forall @t105 (= @t148 (exists @t99 (and @t152 @t153))))))) % 0.95/1.17 (assume @p91 (forall @t13 (=> @t40 (= @t190 (and @t189 @t119 @t107 @t118 @t168))))) % 0.95/1.17 (assume @p92 (forall @t6 (= @t196 (exists @t105 (and @t42 @t195 @t194 @t193 (= @t191 @t2)))))) % 0.95/1.17 (assume @p93 (forall @t45 (= (= @t41 @t197) (forall @t99 (= @t98 (and @t153 (not @t90))))))) % 0.95/1.17 (assume @p94 (forall @t13 (=> @t102 (forall @t11 (= @t200 (forall @t105 (= @t148 (exists @t99 @t198)))))))) % 0.95/1.17 (assume @p95 (forall @t13 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t201 @t32 (forall @t11 (=> @t29 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t85))))))) % 0.95/1.17 (assume @p96 (forall @t13 (=> @t116 (forall @t11 (=> @t115 (= @t202 @t144)))))) % 0.95/1.17 (assume @p97 (forall @t13 (=> @t40 (forall @t11 (= @t200 (forall @t105 (= @t148 (exists @t99 @t185)))))))) % 0.95/1.17 (assume @p98 (forall @t6 (=> @t25 (= @t203 @t197)))) % 0.95/1.17 (assume @p99 (forall @t6 (= @t204 (tptp.unordered_pair @t53 @t141)))) % 0.95/1.17 (assume @p100 (forall @t13 (=> @t40 (forall @t11 (= (tptp.well_orders @t1 @t2) (and @t149 @t206 @t186 @t205 @t181)))))) % 0.95/1.17 (assume @p101 (forall @t13 (= @t201 (= @t1 @t188)))) % 0.95/1.17 (assume @p102 @t212) % 0.95/1.17 (assume @p103 (forall @t13 (=> @t40 (= @t106 (tptp.set_union2 @t96 @t199))))) % 0.95/1.17 (assume @p104 (forall @t13 (=> @t40 (forall @t11 (= @t205 (forall @t80 (not (and @t148 @t90 (not @t76) (not @t164) (not @t185))))))))) % 0.95/1.17 (assume @p105 (forall @t13 (=> @t40 (forall @t11 (= @t214 (tptp.set_intersection2 @t1 @t213)))))) % 0.95/1.17 (assume @p106 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= (= @t2 @t215) (forall @t80 (= @t79 @t185)))))))) % 0.95/1.17 (assume @p107 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t219 (= @t218 (and (= @t192 @t106) (= @t191 @t157) @t194 (forall @t92 (= @t89 (and (tptp.in @t75 @t106) (tptp.in @t87 @t106) (tptp.in (tptp.ordered_pair @t217 @t216) @t2))))))))))))) % 0.95/1.17 (assume @p108 (forall @t6 (= @t220 (= @t65 tptp.empty_set)))) % 0.95/1.17 (assume @p109 (forall @t13 (=> @t102 (= @t49 (forall @t94 (=> (and @t184 (tptp.in @t41 @t96) (= @t182 (tptp.apply @t1 @t41))) @t138)))))) % 0.95/1.17 (assume @p110 (forall @t13 (=> (and @t62 @t222) (= @t221 (forall @t11 (=> @t59 (forall @t105 (=> @t58 (= (tptp.join @t1 @t160 @t41) @t41))))))))) % 0.95/1.17 (assume @p111 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t42 (= (= @t41 @t224) (forall @t92 (= @t91 (exists @t223 (and (tptp.in (tptp.ordered_pair @t75 @t169) @t1) (tptp.in (tptp.ordered_pair @t169 @t87) @t2))))))))))))) % 0.95/1.17 (assume @p112 (forall @t13 (=> @t40 (forall @t11 (= @t206 (forall @t225 (=> (and @t148 @t90 @t95 @t164 @t89) (tptp.in (tptp.ordered_pair @t41 @t87) @t1)))))))) % 0.95/1.17 (assume @p113 (forall @t6 (=> @t228 (forall @t105 (=> (tptp.element @t41 @t227) (= (= @t41 @t226) (forall @t99 (=> (tptp.element @t75 @t24) (= @t98 (tptp.in (tptp.subset_complement @t1 @t75) @t2)))))))))) % 0.95/1.17 (assume @p114 (forall @t6 (= @t8 (and @t85 @t229)))) % 0.95/1.17 (assume @p115 (forall @t13 (=> @t102 (=> @t49 (= @t230 @t215))))) % 0.95/1.17 (assume @p116 (forall @t13 (=> @t40 (= @t189 (tptp.is_reflexive_in @t1 @t106))))) % 0.95/1.17 (assume @p117 true) % 0.95/1.17 (assume @p118 (forall @t45 (=> (and @t62 @t60 @t59 @t58) (tptp.element @t136 @t57)))) % 0.95/1.17 (assume @p119 (forall @t13 (=> @t163 (tptp.element @t162 @t111)))) % 0.95/1.17 (assume @p120 (forall @t13 (tptp.relation @t158))) % 0.95/1.17 (assume @p121 (forall @t235 (=> @t234 (tptp.element @t231 @t41)))) % 0.95/1.17 (assume @p122 (forall @t13 (=> @t102 (and (tptp.relation @t230) (tptp.function @t230))))) % 0.95/1.17 (assume @p123 (forall @t45 (=> (and @t62 @t67 @t59 @t58) (tptp.element @t160 @t57)))) % 0.95/1.17 (assume @p124 (forall @t13 (=> @t163 (tptp.element @t177 @t111)))) % 0.95/1.17 (assume @p125 (forall @t13 (tptp.element @t187 @t24))) % 0.95/1.17 (assume @p126 (forall @t6 (=> @t40 (tptp.relation @t214)))) % 0.95/1.17 (assume @p127 (forall @t45 (=> @t63 (tptp.element @t56 @t57)))) % 0.95/1.17 (assume @p128 @t237) % 0.95/1.17 (assume @p129 (forall @t45 (=> @t69 (tptp.element @t66 @t57)))) % 0.95/1.17 (assume @p130 (forall @t13 (=> @t40 @t238))) % 0.95/1.17 (assume @p131 (forall @t45 (=> @t150 (tptp.element @t133 @t24)))) % 0.95/1.17 (assume @p132 (forall @t6 (=> @t240 @t239))) % 0.95/1.17 (assume @p133 (forall @t45 (=> @t150 (tptp.element @t242 @t241)))) % 0.95/1.17 (assume @p134 (forall @t6 (=> @t228 (tptp.element @t243 @t24)))) % 0.95/1.17 (assume @p135 (forall @t45 (=> @t72 (tptp.element @t70 @t24)))) % 0.95/1.17 (assume @p136 (forall @t6 (=> (and @t116 @t115) (tptp.element @t113 @t111)))) % 0.95/1.17 (assume @p137 (forall @t13 @t244)) % 0.95/1.17 (assume @p138 (forall @t6 (=> @t228 (tptp.element @t245 @t24)))) % 0.95/1.17 (assume @p139 (forall @t45 (=> @t72 (tptp.element @t246 @t24)))) % 0.95/1.17 (assume @p140 (forall @t6 (=> @t40 @t247))) % 0.95/1.17 (assume @p141 (forall @t6 (=> @t228 (tptp.element @t226 @t227)))) % 0.95/1.17 (assume @p142 (forall @t6 (=> @t83 @t248))) % 0.95/1.17 (assume @p143 (forall @t13 (=> @t67 @t163))) % 0.95/1.17 (assume @p144 @t249) % 0.95/1.17 (assume @p145 (forall @t13 (=> @t60 @t163))) % 0.95/1.17 (assume @p146 (forall @t13 (=> @t222 (and @t67 @t60)))) % 0.95/1.17 (assume @p147 (forall @t45 (=> @t134 @t44))) % 0.95/1.17 (assume @p148 (forall @t13 (=> @t67 (and (tptp.function @t159) (tptp.quasi_total @t159 @t250 @t57) (tptp.relation_of2_as_subset @t159 @t250 @t57))))) % 0.95/1.17 (assume @p149 (forall @t13 (=> @t116 (tptp.element @t143 @t145)))) % 0.95/1.17 (assume @p150 (forall @t13 (=> @t60 (and (tptp.function @t135) (tptp.quasi_total @t135 @t250 @t57) (tptp.relation_of2_as_subset @t135 @t250 @t57))))) % 0.95/1.17 (assume @p151 (exists @t13 @t67)) % 0.95/1.17 (assume @p152 (exists @t13 @t116)) % 0.95/1.17 (assume @p153 (exists @t13 @t163)) % 0.95/1.17 (assume @p154 (exists @t13 @t60)) % 0.95/1.17 (assume @p155 (exists @t13 @t222)) % 0.95/1.17 (assume @p156 (forall @t6 (exists @t105 @t150))) % 0.95/1.17 (assume @p157 (forall @t13 (exists @t11 @t10))) % 0.95/1.17 (assume @p158 (forall @t6 (exists @t105 @t134))) % 0.95/1.17 (assume @p159 (forall @t6 (=> @t48 @t251))) % 0.95/1.17 (assume @p160 (forall @t6 (=> @t253 (and (tptp.empty @t252) (tptp.relation @t252))))) % 0.95/1.17 (assume @p161 (forall @t6 (=> @t33 @t251))) % 0.95/1.17 (assume @p162 (forall @t13 (=> @t22 (and (tptp.empty @t215) @t238)))) % 0.95/1.17 (assume @p163 (forall @t6 (=> @t33 (tptp.finite @t197)))) % 0.95/1.17 (assume @p164 (and @t256 @t255 @t254)) % 0.95/1.17 (assume @p165 (forall @t6 (=> (and @t40 @t36 @t48) (tptp.finite @t100)))) % 0.95/1.17 (assume @p166 (forall @t6 (=> @t258 (and @t247 (tptp.relation_empty_yielding @t93))))) % 0.95/1.17 (assume @p167 (forall @t13 (and @t259 (tptp.finite @t141)))) % 0.95/1.17 (assume @p168 (forall @t13 (and @t260 (tptp.cup_closed @t24) (tptp.diff_closed @t24) (tptp.preboolean @t24)))) % 0.95/1.17 (assume @p169 (forall @t6 (=> (and @t40 @t36 @t83 @t124) (and @t239 (tptp.function @t224))))) % 0.95/1.17 (assume @p170 (forall @t13 @t261)) % 0.95/1.17 (assume @p171 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 0.95/1.17 (assume @p172 (forall @t13 (=> @t163 (and (tptp.empty @t162) (tptp.v1_membered @t162) (tptp.v2_membered @t162) (tptp.v3_membered @t162) (tptp.v4_membered @t162) (tptp.v5_membered @t162))))) % 0.95/1.17 (assume @p173 (forall @t6 (=> @t240 (tptp.relation @t65)))) % 0.95/1.17 (assume @p174 (forall @t13 (=> @t262 (not (tptp.empty @t57))))) % 0.95/1.17 (assume @p175 (forall @t13 @t260)) % 0.95/1.17 (assume @p176 @t256) % 0.95/1.17 (assume @p177 (forall @t6 (not (tptp.empty @t204)))) % 0.95/1.17 (assume @p178 (forall @t6 (=> @t12 @t263))) % 0.95/1.17 (assume @p179 (forall @t6 (=> @t12 @t264))) % 0.95/1.17 (assume @p180 (forall @t6 (=> @t15 (and @t263 @t265)))) % 0.95/1.17 (assume @p181 (forall @t13 (=> (and @t32 @t46) (and @t261 @t268 @t267 @t266 (tptp.natural @t142))))) % 0.95/1.17 (assume @p182 (forall @t13 (and @t244 (tptp.function @t81)))) % 0.95/1.17 (assume @p183 (and @t255 @t254 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t256 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.95/1.17 (assume @p184 (forall @t6 (=> @t240 (tptp.relation @t55)))) % 0.95/1.17 (assume @p185 (forall @t13 @t259)) % 0.95/1.17 (assume @p186 (forall @t6 (=> @t166 (not (tptp.empty @t55))))) % 0.95/1.17 (assume @p187 (forall @t6 (=> @t15 (and @t264 @t269)))) % 0.95/1.17 (assume @p188 (forall @t6 (=> @t17 (and @t263 @t265 @t270)))) % 0.95/1.17 (assume @p189 (forall @t6 (=> @t17 (and @t264 @t269 @t271)))) % 0.95/1.17 (assume @p190 (forall @t6 (=> @t19 (and @t263 @t265 @t270 @t272)))) % 0.95/1.17 (assume @p191 (forall @t6 (=> @t19 (and @t264 @t269 @t271 @t273)))) % 0.95/1.17 (assume @p192 (forall @t6 (=> @t21 (and @t263 @t265 @t270 @t272 (tptp.v5_membered @t65))))) % 0.95/1.17 (assume @p193 (forall @t6 (=> @t21 (and @t264 @t269 @t271 @t273 (tptp.v5_membered @t64))))) % 0.95/1.17 (assume @p194 (forall @t6 (=> @t12 @t274))) % 0.95/1.17 (assume @p195 (forall @t6 (=> @t15 (and @t274 @t275)))) % 0.95/1.17 (assume @p196 (forall @t6 (=> @t17 (and @t274 @t275 @t276)))) % 0.95/1.17 (assume @p197 (forall @t13 (=> @t50 (and @t238 (tptp.function @t215))))) % 0.95/1.17 (assume @p198 (forall @t13 (=> @t32 (and @t261 @t268 @t267 @t266)))) % 0.95/1.17 (assume @p199 (forall @t6 (=> @t240 (tptp.relation @t197)))) % 0.95/1.17 (assume @p200 (forall @t6 (not (tptp.empty @t53)))) % 0.95/1.17 (assume @p201 (forall @t6 (=> @t166 (not (tptp.empty @t54))))) % 0.95/1.17 (assume @p202 (forall @t6 (=> @t19 (and @t274 @t275 @t276 @t277)))) % 0.95/1.17 (assume @p203 (forall @t6 (=> @t21 (and @t274 @t275 @t276 @t277 (tptp.v5_membered @t197))))) % 0.95/1.17 (assume @p204 (forall @t6 (=> @t102 (and @t247 (tptp.function @t93))))) % 0.95/1.17 (assume @p205 (forall @t13 (=> @t32 (and (tptp.epsilon_transitive @t188) (tptp.epsilon_connected @t188) (tptp.ordinal @t188))))) % 0.95/1.17 (assume @p206 (and @t256 @t255)) % 0.95/1.17 (assume @p207 (forall @t6 (=> (and @t166 @t233) (not (tptp.empty @t43))))) % 0.95/1.17 (assume @p208 (forall @t6 (=> @t278 (and @t248 (tptp.function @t104))))) % 0.95/1.17 (assume @p209 (forall @t13 (=> @t279 (tptp.closed_subset @t177 @t1)))) % 0.95/1.17 (assume @p210 (forall @t13 (=> @t281 (not @t280)))) % 0.95/1.17 (assume @p211 (and @t256 (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set))) % 0.95/1.17 (assume @p212 (forall @t13 (=> @t281 (not @t282)))) % 0.95/1.17 (assume @p213 (forall @t13 (=> @t22 (and @t280 (tptp.relation @t96))))) % 0.95/1.17 (assume @p214 (forall @t13 (=> @t22 (and @t282 (tptp.relation @t199))))) % 0.95/1.17 (assume @p215 (forall @t6 (=> (and @t33 @t48) (tptp.finite @t55)))) % 0.95/1.17 (assume @p216 (forall @t6 (=> @t253 (and (tptp.empty @t224) @t239)))) % 0.95/1.17 (assume @p217 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.95/1.17 (assume @p218 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.95/1.17 (assume @p219 (forall @t45 (=> @t72 (= (tptp.subset_intersection2 @t1 @t2 @t2) @t2)))) % 0.95/1.17 (assume @p220 @t285) % 0.95/1.17 (assume @p221 (forall @t13 (=> @t40 (= (tptp.relation_inverse @t215) @t1)))) % 0.95/1.17 (assume @p222 (forall @t6 (=> @t228 (= (tptp.complements_of_subsets @t1 @t226) @t2)))) % 0.95/1.17 (assume @p223 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.95/1.17 (assume @p224 (forall @t13 (=> @t40 (= @t189 (forall @t11 (=> @t286 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 0.95/1.17 (assume @p225 (forall @t13 (not (= @t141 tptp.empty_set)))) % 0.95/1.17 (assume @p226 (forall @t6 (=> @t5 (= (tptp.set_union2 @t141 @t2) @t2)))) % 0.95/1.17 (assume @p227 (forall @t6 (not (and @t287 @t5)))) % 0.95/1.17 (assume @p228 (forall @t6 (=> @t288 @t287))) % 0.95/1.17 (assume @p229 (forall @t6 (=> @t83 (tptp.subset (tptp.relation_dom @t104) @t122)))) % 0.95/1.17 (assume @p230 (forall @t13 (=> @t40 (= @t119 (forall @t128 (=> (and @t127 @t164) @t125)))))) % 0.95/1.17 (assume @p231 (forall @t6 (= (tptp.subset @t141 @t2) @t5))) % 0.95/1.17 (assume @p232 (forall @t6 (=> @t83 (not (and @t289 (tptp.equipotent @t1 @t157) (forall @t105 (=> @t42 (not (tptp.well_orders @t41 @t1))))))))) % 0.95/1.17 (assume @p233 (forall @t6 (= (= @t197 tptp.empty_set) @t85))) % 0.95/1.17 (assume @p234 (forall @t6 (=> @t25 (forall @t105 (=> @t148 @t77))))) % 0.95/1.17 (assume @p235 (forall @t13 (=> @t40 (= @t107 (forall @t94 (=> (and @t127 @t290) @t138)))))) % 0.95/1.17 (assume @p236 (forall @t45 (=> @t85 (or @t77 (tptp.subset @t1 (tptp.set_difference @t2 @t291)))))) % 0.95/1.17 (assume @p237 (forall @t13 (=> @t40 (= @t118 (forall @t94 (not (and @t286 (tptp.in @t41 @t106) @t175 @t292 (not @t290)))))))) % 0.95/1.17 (assume @p238 (forall @t6 (= (tptp.subset @t1 @t293) (or @t131 (= @t1 @t293))))) % 0.95/1.17 (assume @p239 (forall @t6 (=> @t5 (tptp.subset @t1 @t294)))) % 0.95/1.17 (assume @p240 (forall @t121 (= (tptp.in @t204 (tptp.cartesian_product2 @t41 @t75)) (and @t295 (tptp.in @t2 @t75))))) % 0.95/1.17 (assume @p241 (forall @t6 (=> @t178 @t296))) % 0.95/1.17 (assume @p242 (forall @t45 (=> @t219 (= @t298 (and (tptp.in @t2 @t192) @t3))))) % 0.95/1.17 (assume @p243 (exists @t13 (and @t166 @t38 @t37 @t32 @t46))) % 0.95/1.17 (assume @p244 (exists @t13 (and @t166 @t33))) % 0.95/1.17 (assume @p245 (exists @t13 @t102)) % 0.95/1.17 (assume @p246 (forall @t6 (exists @t105 (and @t150 @t42 @t195 @t130)))) % 0.95/1.17 (assume @p247 (exists @t13 (and @t166 @t12 @t15 @t17 @t19 @t21))) % 0.95/1.17 (assume @p248 (exists @t13 @t52)) % 0.95/1.17 (assume @p249 (exists @t13 (and @t38 @t37 @t32 @t201))) % 0.95/1.17 (assume @p250 (exists @t13 (and @t40 @t36 @t49 @t22))) % 0.95/1.17 (assume @p251 (exists @t13 (and @t22 @t40))) % 0.95/1.17 (assume @p252 (forall @t13 (=> @t166 (exists @t11 (and @t25 @t233))))) % 0.95/1.17 (assume @p253 (exists @t13 @t22)) % 0.95/1.17 (assume @p254 (forall @t13 (exists @t11 (and @t25 @t165 @t83 @t124 @t299 @t31 @t30 @t29 @t20 @t48)))) % 0.95/1.17 (assume @p255 (exists @t13 @t51)) % 0.95/1.17 (assume @p256 (exists @t13 (and @t40 @t36 @t49 @t22 @t38 @t37 @t32))) % 0.95/1.17 (assume @p257 (forall @t6 (exists @t105 (and @t150 @t42 @t195)))) % 0.95/1.17 (assume @p258 (exists @t13 @t281)) % 0.95/1.17 (assume @p259 (forall @t13 (exists @t11 (and @t25 @t165)))) % 0.95/1.17 (assume @p260 (exists @t13 @t166)) % 0.95/1.17 (assume @p261 (forall @t13 (=> @t166 (exists @t11 (and @t25 @t233 @t48))))) % 0.95/1.17 (assume @p262 (exists @t13 @t50)) % 0.95/1.17 (assume @p263 (exists @t13 (and @t166 @t38 @t37 @t32))) % 0.95/1.17 (assume @p264 (exists @t13 @t258)) % 0.95/1.17 (assume @p265 (exists @t13 (and @t163 @t62))) % 0.95/1.17 (assume @p266 (exists @t13 (and @t40 @t257 @t36))) % 0.95/1.17 (assume @p267 (forall @t13 (=> @t262 (exists @t11 (and @t115 @t233))))) % 0.95/1.17 (assume @p268 (forall @t13 (=> @t279 (exists @t11 (and @t115 @t208))))) % 0.95/1.17 (assume @p269 (forall @t235 (=> @t234 (= @t231 (tptp.apply_binary @t75 @t87 @t169))))) % 0.95/1.17 (assume @p270 (forall @t45 (=> @t63 (= @t56 @t136)))) % 0.95/1.17 (assume @p271 (forall @t45 (=> @t69 (= @t66 @t160)))) % 0.95/1.17 (assume @p272 (forall @t45 (=> @t150 (= @t133 @t192)))) % 0.95/1.17 (assume @p273 (forall @t45 (=> @t150 (= @t242 @t191)))) % 0.95/1.17 (assume @p274 (forall @t6 (=> @t228 (= @t243 @t294)))) % 0.95/1.17 (assume @p275 (forall @t45 (=> @t72 (= @t70 @t300)))) % 0.95/1.17 (assume @p276 (forall @t6 (=> @t228 (= @t245 (tptp.set_meet @t2))))) % 0.95/1.17 (assume @p277 (forall @t45 (=> @t72 (= @t246 @t301)))) % 0.95/1.17 (assume @p278 (forall @t45 (= @t134 @t150))) % 0.95/1.17 (assume @p279 (forall @t6 (=> @t74 (= @t73 @t85)))) % 0.95/1.17 (assume @p280 (forall @t6 (= @t196 (tptp.are_equipotent @t1 @t2)))) % 0.95/1.17 (assume @p281 (forall @t6 (=> @t74 (tptp.ordinal_subset @t1 @t1)))) % 0.95/1.17 (assume @p282 (forall @t6 (tptp.subset @t1 @t1))) % 0.95/1.17 (assume @p283 (forall @t6 (tptp.equipotent @t1 @t1))) % 0.95/1.17 (assume @p284 (forall @t6 (=> @t319 (=> @t318 (exists @t105 (and @t42 @t195 (forall @t92 (= @t91 (and @t153 @t153 (exists @t306 (and (= @t75 @t303) (tptp.in @t87 @t303) (forall @t305 (=> @t304 (tptp.in (tptp.ordered_pair @t87 @t302) @t2)))))))))))))) % 0.95/1.17 (assume @p285 (forall @t13 (=> @t322 (exists @t11 (and @t83 @t124 (forall @t80 (= @t79 (and @t77 @t77 (= @t75 @t291))))))))) % 0.95/1.17 (assume @p286 (forall @t13 (=> (exists @t11 (and @t29 @t3)) (exists @t11 (and @t29 @t3 (forall @t105 (=> @t323 (=> @t77 (tptp.ordinal_subset @t2 @t41))))))))) % 0.95/1.17 (assume @p287 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t13 (=> (tptp.element @t1 (tptp.powerset @t347)) (not (and @t154 (forall @t11 (not (and @t3 (forall @t105 (=> (and @t77 @t346) (= @t41 @t2))))))))))) (forall @t99 (=> @t330 (=> @t345 (=> (tptp.in @t344 tptp.omega) (forall @t312 (=> (tptp.element @t309 (tptp.powerset (tptp.powerset @t344))) (not (and (not (= @t309 tptp.empty_set)) (forall @t311 (not (and @t310 (forall @t306 (=> (and (tptp.in @t303 @t309) (tptp.subset @t308 @t303)) (= @t303 @t308)))))))))))))) (forall @t99 (=> @t330 (=> (and (tptp.being_limit_ordinal @t75) (forall @t305 (=> (tptp.ordinal @t302) (=> (tptp.in @t302 @t75) (=> (tptp.in @t302 tptp.omega) (forall @t343 (=> (tptp.element @t339 (tptp.powerset (tptp.powerset @t302))) (not (and (not (= @t339 tptp.empty_set)) (forall @t342 (not (and @t341 (forall @t340 (=> (and (tptp.in @t338 @t339) (tptp.subset @t337 @t338)) (= @t338 @t337))))))))))))))) (or (= @t75 tptp.empty_set) (=> @t329 (forall @t336 (=> (tptp.element @t333 @t327) (not (and (not (= @t333 tptp.empty_set)) (forall @t335 (not (and (tptp.in @t331 @t333) (forall @t334 (=> (and (tptp.in @t332 @t333) (tptp.subset @t331 @t332)) (= @t332 @t331)))))))))))))))) (forall @t99 (=> @t330 (=> @t329 (forall @t328 (=> (tptp.element @t326 @t327) (not (and (not (= @t326 tptp.empty_set)) (forall (@list @t324) (not (and (tptp.in @t324 @t326) (forall (@list @t325) (=> (and (tptp.in @t325 @t326) (tptp.subset @t324 @t325)) (= @t325 @t324))))))))))))))) % 0.95/1.17 (assume @p288 (forall @t45 (=> @t351 (exists @t99 (and @t350 (forall @t172 (= (tptp.in @t170 @t75) (and @t103 @t349 (tptp.in (tptp.ordered_pair @t216 @t348) @t2))))))))) % 0.95/1.17 (assume @p289 (forall @t6 (=> @t319 (=> @t318 (exists @t105 (forall @t99 (= @t98 (exists @t97 (and @t103 @t103 (exists @t306 (and (= @t87 @t303) @t353 @t352))))))))))) % 0.95/1.17 (assume @p290 (forall @t6 (=> @t319 (forall @t105 (=> (forall @t364 (=> (and @t307 (exists @t363 (and (= @t362 @t87) @t361 (exists @t311 (and (= @t314 @t308) (tptp.in @t309 @t308) (forall @t306 (=> @t360 (tptp.in (tptp.ordered_pair @t309 @t303) @t2))))))) @t359 (exists @t358 (and (= @t357 @t169) (tptp.in @t302 @t1) (exists @t342 (and (= @t302 @t337) (tptp.in @t339 @t337) (forall @t340 (=> (tptp.in @t338 @t337) (tptp.in (tptp.ordered_pair @t339 @t338) @t2)))))))) @t356)) (exists @t99 (forall @t97 (= @t120 (exists @t223 (and (tptp.in @t169 @t355) @t354 (exists (@list @t333 @t331) (and (= (tptp.ordered_pair @t333 @t331) @t87) (tptp.in @t333 @t1) (exists @t334 (and (= @t333 @t332) (tptp.in @t331 @t332) (forall @t328 (=> (tptp.in @t326 @t332) (tptp.in (tptp.ordered_pair @t331 @t326) @t2))))))))))))))))) % 0.95/1.17 (assume @p291 (forall @t13 (=> @t322 (exists @t11 (forall @t105 (= @t148 (exists @t99 (and @t153 @t153 (= @t41 (tptp.singleton @t75)))))))))) % 0.95/1.17 (assume @p292 (forall @t6 (=> (forall @t225 (=> (and @t76 (exists @t369 (and (= @t368 @t75) @t349 (= @t314 (tptp.singleton @t169)))) @t367 (exists (@list @t309 @t308) (and (= (tptp.ordered_pair @t309 @t308) @t87) @t366 (= @t308 (tptp.singleton @t309))))) @t307)) (exists @t105 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t87 @t43) @t365 (exists (@list @t303 @t302) (and (= (tptp.ordered_pair @t303 @t302) @t75) (tptp.in @t303 @t1) (= @t302 (tptp.singleton @t303)))))))))))) % 0.95/1.17 (assume @p293 (forall @t13 (=> @t32 (=> (forall @t128 (=> (and @t138 (exists @t97 (and @t372 @t367 (=> (tptp.in @t87 tptp.omega) (forall @t223 (=> (tptp.element @t169 (tptp.powerset (tptp.powerset @t87))) @t371))))) @t161 (exists @t311 (and (tptp.ordinal @t308) (= @t75 @t308) (=> (tptp.in @t308 tptp.omega) (forall @t306 (=> (tptp.element @t303 (tptp.powerset (tptp.powerset @t308))) (not (and (not (= @t303 tptp.empty_set)) (forall @t305 (not (and @t304 (forall @t343 (=> (and (tptp.in @t339 @t303) (tptp.subset @t302 @t339)) (= @t339 @t302)))))))))))))) @t76)) (exists @t11 (forall @t105 (= @t148 (exists @t99 (and (tptp.in @t75 @t142) @t370 (exists @t342 (and (tptp.ordinal @t337) (= @t41 @t337) (=> (tptp.in @t337 tptp.omega) (forall @t340 (=> (tptp.element @t338 (tptp.powerset (tptp.powerset @t337))) (not (and (not (= @t338 tptp.empty_set)) (forall @t336 (not (and (tptp.in @t333 @t338) (forall @t335 (=> (and (tptp.in @t331 @t338) (tptp.subset @t333 @t331)) (= @t331 @t333)))))))))))))))))))))) % 0.95/1.17 (assume @p294 (forall @t6 (=> @t375 (=> (forall @t225 (=> (and @t76 (exists @t223 (and (tptp.element @t169 @t111) (= @t169 @t75) (tptp.closed_subset @t169 @t1) @t373)) @t367 (exists @t316 (and (tptp.element @t314 @t111) (= @t314 @t87) (tptp.closed_subset @t314 @t1) (tptp.subset @t2 @t87)))) @t307)) (exists @t105 (forall @t99 (= @t98 (exists @t97 (and @t374 @t365 (exists @t312 (and (tptp.element @t309 @t111) (= @t309 @t75) (tptp.closed_subset @t309 @t1) @t373))))))))))) % 0.95/1.17 (assume @p295 (forall @t6 (=> @t377 (=> (forall @t225 (=> (and @t76 @t376 @t367 (tptp.in (tptp.set_difference @t177 @t87) @t2)) @t307)) (exists @t105 (forall @t99 (= @t98 (exists @t97 (and @t374 @t365 @t376))))))))) % 0.95/1.17 (assume @p296 (forall @t6 (=> @t378 (=> (forall @t225 (=> (and @t76 (exists @t223 (and @t171 (= @t75 (tptp.set_difference @t169 @t141)))) @t367 (exists @t316 (and (tptp.in @t314 @t2) (= @t87 (tptp.set_difference @t314 @t141))))) @t307)) (exists @t105 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t87 @t24) @t365 (exists @t312 (and (tptp.in @t309 @t2) (= @t75 (tptp.set_difference @t309 @t141))))))))))))) % 0.95/1.17 (assume @p297 (forall @t45 (=> @t351 (=> (forall @t364 (=> (and @t307 (exists @t363 (and (= @t87 @t362) (tptp.in (tptp.ordered_pair @t380 (tptp.apply @t41 @t309)) @t2))) @t359 (exists (@list @t308 @t303) (and (= @t169 (tptp.ordered_pair @t308 @t303)) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t308) (tptp.apply @t41 @t303)) @t2)))) @t356)) (exists @t99 (forall @t97 (= @t120 (exists @t223 (and (tptp.in @t169 @t379) @t354 (exists @t358 (and (= @t87 @t357) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t302) (tptp.apply @t41 @t339)) @t2)))))))))))) % 0.95/1.17 (assume @p298 (forall @t13 (=> (forall @t128 (=> (and @t138 @t323 @t161 @t330) @t76)) (exists @t11 (forall @t105 (= @t148 (exists @t99 (and @t153 @t370 @t323)))))))) % 0.95/1.17 (assume @p299 (forall @t45 (=> @t383 (=> (forall @t364 (=> (and @t307 @t381 @t359 (tptp.in (tptp.relation_image @t41 @t169) @t2)) @t356)) (exists @t99 (forall @t97 (= @t120 (exists @t223 (and (tptp.in @t169 @t382) @t354 @t381))))))))) % 0.95/1.17 (assume @p300 (forall @t6 (=> @t29 (=> (forall @t225 (=> (and @t76 (exists @t223 (and (tptp.ordinal @t169) @t359 @t349)) @t367 (exists @t316 (and (tptp.ordinal @t314) (= @t87 @t314) @t361))) @t307)) (exists @t105 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t87 @t384) @t365 (exists @t312 (and (tptp.ordinal @t309) (= @t75 @t309) @t366))))))))))) % 0.95/1.17 (assume @p301 (forall @t6 (=> @t319 (forall @t105 (exists @t99 (forall @t97 (= @t120 (and (tptp.in @t87 @t355) (exists @t369 (and (= @t368 @t87) @t349 (exists @t312 (and (= @t169 @t309) (tptp.in @t314 @t309) (forall @t311 (=> @t310 (tptp.in (tptp.ordered_pair @t314 @t308) @t2))))))))))))))) % 0.95/1.17 (assume @p302 (forall @t6 (exists @t105 (forall @t99 (= @t98 (and (tptp.in @t75 @t43) (exists @t172 (and (= @t170 @t75) @t103 (= @t169 (tptp.singleton @t87)))))))))) % 0.95/1.17 (assume @p303 (forall @t13 (=> @t32 (exists @t11 (forall @t105 (= @t148 (and (tptp.in @t41 @t142) (exists @t99 (and @t330 @t76 @t345))))))))) % 0.95/1.17 (assume @p304 (forall @t6 (=> @t375 (exists @t105 (forall @t99 (= @t98 (and @t386 @t385))))))) % 0.95/1.17 (assume @p305 (forall @t6 (=> @t377 (exists @t105 (forall @t99 (= @t98 (and @t386 @t376))))))) % 0.95/1.17 (assume @p306 (forall @t6 (=> @t378 (exists @t105 (forall @t99 (= @t98 (and (tptp.in @t75 @t24) (exists @t97 (and @t95 (= @t75 (tptp.set_difference @t87 @t141))))))))))) % 0.95/1.17 (assume @p307 (forall @t45 (=> @t351 (exists @t99 (forall @t97 (= @t120 (and (tptp.in @t87 @t379) (exists @t369 (and (= @t87 @t368) (tptp.in (tptp.ordered_pair @t348 @t380) @t2)))))))))) % 0.95/1.17 (assume @p308 (forall @t13 (exists @t11 (forall @t105 (= @t148 (and @t77 @t323)))))) % 0.95/1.17 (assume @p309 (forall @t45 (=> @t383 (exists @t99 (forall @t97 (= @t120 (and (tptp.in @t87 @t382) @t381))))))) % 0.95/1.17 (assume @p310 (forall @t6 (=> @t29 (exists @t105 (forall @t99 (= @t98 (and (tptp.in @t75 @t384) (exists @t97 (and @t372 @t307 @t103))))))))) % 0.95/1.17 (assume @p311 (forall @t6 (=> @t319 (=> (and (forall @t225 (=> (and @t77 @t317 @t313) @t307)) (forall @t105 (not (and @t77 (forall @t99 (not (exists @t306 (and (= @t41 @t303) @t353 @t352)))))))) (exists @t105 (and @t42 @t195 @t193 (forall @t99 (=> @t153 (exists @t343 (and (= @t75 @t339) (tptp.in @t217 @t339) (forall @t342 (=> @t341 (tptp.in (tptp.ordered_pair @t217 @t337) @t2))))))))))))) % 0.95/1.17 (assume @p312 (forall @t13 (=> (and (forall @t128 (=> (and @t3 @t321 @t320) @t76)) (forall @t11 (not (and @t3 (forall @t105 (not @t321)))))) @t389))) % 0.95/1.17 (assume @p313 (=> (forall @t13 (=> @t32 (=> (forall @t11 (=> @t29 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t105 (=> (tptp.element @t41 (tptp.powerset @t241)) (not (and @t179 (forall @t99 (not (and @t98 (forall @t97 (=> (and (tptp.in @t87 @t41) (tptp.subset @t75 @t87)) @t365))))))))))))) (=> @t390 (forall @t223 (=> (tptp.element @t169 @t227) @t371)))))) (forall @t13 (=> @t32 (=> @t390 (forall @t311 (=> (tptp.element @t308 @t227) (not (and (not (= @t308 tptp.empty_set)) (forall @t306 (not (and @t360 (forall @t305 (=> (and (tptp.in @t302 @t308) (tptp.subset @t303 @t302)) (= @t302 @t303))))))))))))))) % 0.95/1.17 (assume @p314 (forall @t13 @t389)) % 0.95/1.17 (assume @p315 (forall @t6 (=> @t375 (exists @t105 (and @t392 (forall @t99 (=> @t391 (= @t98 @t385)))))))) % 0.95/1.17 (assume @p316 (forall @t6 (=> @t377 (exists @t105 (and @t392 (forall @t99 (=> @t391 (= @t98 @t376)))))))) % 0.95/1.17 (assume @p317 (forall @t6 (=> @t220 (tptp.disjoint @t2 @t1)))) % 0.95/1.17 (assume @p318 (forall @t6 (=> @t196 (tptp.equipotent @t2 @t1)))) % 0.95/1.17 (assume @p319 (forall @t13 (tptp.in @t1 @t142))) % 0.95/1.17 (assume @p320 (forall @t121 (not (and (= @t53 (tptp.unordered_pair @t41 @t75)) (not @t393) (not (= @t1 @t75)))))) % 0.95/1.17 (assume @p321 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t41))) (and @t5 (tptp.in @t1 @t191)))))) % 0.95/1.17 (assume @p322 (forall @t6 (=> @t83 (tptp.subset @t394 @t1)))) % 0.95/1.17 (assume @p323 (forall @t6 (=> @t83 (tptp.subset @t104 @t2)))) % 0.95/1.17 (assume @p324 (forall @t6 (=> @t83 (tptp.subset @t394 @t123)))) % 0.95/1.17 (assume @p325 (forall @t45 (=> @t85 (and (tptp.subset @t355 (tptp.cartesian_product2 @t2 @t41)) (tptp.subset (tptp.cartesian_product2 @t41 @t1) (tptp.cartesian_product2 @t41 @t2)))))) % 0.95/1.17 (assume @p326 (forall @t6 (=> @t83 (= @t394 (tptp.set_intersection2 @t123 @t1))))) % 0.95/1.17 (assume @p327 (forall @t121 (=> (and @t85 @t156) (tptp.subset @t355 (tptp.cartesian_product2 @t2 @t75))))) % 0.95/1.17 (assume @p328 (forall @t45 (=> @t134 (and (tptp.subset @t192 @t1) (tptp.subset @t191 @t2))))) % 0.95/1.17 (assume @p329 (forall @t6 (=> @t85 (= @t55 @t2)))) % 0.95/1.17 (assume @p330 (forall @t13 (exists @t11 (and @t5 @t397 (forall @t105 (=> @t148 (tptp.in @t396 @t2))) @t395)))) % 0.95/1.17 (assume @p331 (forall @t6 (=> (and @t85 @t48) @t33))) % 0.95/1.17 (assume @p332 (forall @t45 (=> @t42 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t41) @t2) (tptp.relation_rng_restriction @t1 @t398))))) % 0.95/1.17 (assume @p333 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_image @t41 @t2)) (exists @t99 (and (tptp.in @t75 @t192) (tptp.in (tptp.ordered_pair @t75 @t1) @t41) @t90)))))) % 0.95/1.17 (assume @p334 (forall @t6 (=> @t83 (tptp.subset @t399 @t123)))) % 0.95/1.17 (assume @p335 (forall @t6 (=> @t278 (tptp.subset @t401 @t1)))) % 0.95/1.17 (assume @p336 (forall @t6 (=> @t83 (= @t399 (tptp.relation_image @t2 @t402))))) % 0.95/1.17 (assume @p337 (forall @t6 (=> @t83 (=> (tptp.subset @t1 @t122) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t399)))))) % 0.95/1.17 (assume @p338 (forall @t13 (=> @t40 (= (tptp.relation_image @t1 @t96) @t199)))) % 0.95/1.17 (assume @p339 (forall @t6 (=> @t278 (=> @t403 (= @t401 @t1))))) % 0.95/1.17 (assume @p340 (forall @t121 (=> @t406 (=> (tptp.subset @t405 @t2) @t404)))) % 0.95/1.17 (assume @p341 (forall @t13 (=> @t163 (forall @t11 (=> @t115 (= (tptp.subset_intersection2 @t57 @t2 @t177) @t2)))))) % 0.95/1.17 (assume @p342 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= @t407 (tptp.relation_image @t2 @t199))))))) % 0.95/1.17 (assume @p343 (forall @t45 (=> @t42 (= (tptp.in @t1 @t408) (exists @t99 (and (tptp.in @t75 @t191) (tptp.in (tptp.ordered_pair @t1 @t75) @t41) @t90)))))) % 0.95/1.17 (assume @p344 (forall @t6 (=> @t83 (tptp.subset @t400 @t122)))) % 0.95/1.17 (assume @p345 (forall @t121 (=> @t406 (=> @t85 @t404)))) % 0.95/1.17 (assume @p346 (forall @t45 (=> @t42 (= (tptp.in @t1 @t409) (and @t295 (tptp.in @t1 @t213)))))) % 0.95/1.17 (assume @p347 (forall @t6 (=> @t83 (not (and @t154 @t403 (= @t400 tptp.empty_set)))))) % 0.95/1.17 (assume @p348 (forall @t45 (=> @t42 (=> @t85 (tptp.subset (tptp.relation_inverse_image @t41 @t1) @t408))))) % 0.95/1.17 (assume @p349 (forall @t6 (=> @t278 (=> @t33 (tptp.finite @t399))))) % 0.95/1.17 (assume @p350 @t414) % 0.95/1.17 (assume @p351 (forall @t6 (=> @t83 (= @t415 (tptp.relation_dom_restriction @t104 @t1))))) % 0.95/1.17 (assume @p352 (forall @t6 (tptp.subset @t65 @t1))) % 0.95/1.17 (assume @p353 (forall @t13 (=> @t33 (forall @t11 (=> @t228 (not (and @t167 (forall @t105 (not (and @t148 (forall @t99 (=> (and @t90 @t156) @t370)))))))))))) % 0.95/1.17 (assume @p354 (forall @t6 (=> @t83 (= @t415 (tptp.relation_rng_restriction @t1 @t416))))) % 0.95/1.17 (assume @p355 (forall @t45 (=> @t42 (=> (tptp.in @t1 (tptp.relation_field @t409)) (and @t418 @t5))))) % 0.95/1.17 (assume @p356 (forall @t45 (=> (and @t85 @t419) (tptp.subset @t1 @t300)))) % 0.95/1.17 (assume @p357 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.95/1.17 (assume @p358 (forall @t6 (=> @t5 @t420))) % 0.95/1.17 (assume @p359 (forall @t45 (=> (and @t85 @t346) @t419))) % 0.95/1.17 (assume @p360 (= @t347 (tptp.singleton tptp.empty_set))) % 0.95/1.17 (assume @p361 (forall @t45 (=> @t42 (=> @t422 (and @t421 (tptp.in @t2 @t191)))))) % 0.95/1.17 (assume @p362 (forall @t6 (=> @t83 (and (tptp.subset @t423 @t157) (tptp.subset @t423 @t1))))) % 0.95/1.17 (assume @p363 (forall @t6 (=> @t278 (forall @t105 (=> @t219 (= @t426 (and @t421 (tptp.in @t424 @t122)))))))) % 0.95/1.17 (assume @p364 (forall @t121 (=> @t428 (forall @t97 (=> (and (tptp.relation @t87) (tptp.function @t87)) (=> @t77 (or @t132 (= (tptp.apply (tptp.relation_composition @t75 @t87) @t41) (tptp.apply @t87 @t427))))))))) % 0.95/1.17 (assume @p365 (forall @t13 (=> @t38 (forall @t11 (=> @t29 (=> @t8 @t5)))))) % 0.95/1.17 (assume @p366 (forall @t13 (=> @t40 (tptp.subset @t1 (tptp.cartesian_product2 @t96 @t199))))) % 0.95/1.17 (assume @p367 (forall @t45 (=> @t42 (tptp.subset (tptp.fiber (tptp.relation_restriction @t41 @t1) @t2) (tptp.fiber @t41 @t2))))) % 0.95/1.17 (assume @p368 (forall @t6 (=> @t278 (forall @t105 (=> @t219 (=> @t426 (= (tptp.apply @t425 @t1) (tptp.apply @t2 @t424)))))))) % 0.95/1.17 (assume @p369 @t433) % 0.95/1.17 (assume @p370 (forall @t45 (=> (tptp.relation_of2_as_subset @t41 @t2 @t1) (= (forall @t99 (not (and @t90 (forall @t97 (not @t91))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t41) @t2))))) % 0.95/1.17 (assume @p371 (forall @t6 (=> @t83 (=> @t434 (tptp.reflexive @t415))))) % 0.95/1.17 (assume @p372 (forall @t6 (=> @t278 (forall @t105 (=> @t219 (=> (tptp.in @t1 @t122) (= (tptp.apply (tptp.relation_composition @t2 @t41) @t1) (tptp.apply @t41 (tptp.apply @t2 @t1))))))))) % 0.95/1.17 (assume @p373 (forall @t13 (=> (and @t62 @t68 @t221 @t222) (forall @t11 (=> @t59 (forall @t105 (=> @t58 (tptp.below @t1 @t66 @t2)))))))) % 0.95/1.17 (assume @p374 (forall @t6 (=> @t29 (=> @t5 @t32)))) % 0.95/1.17 (assume @p375 (forall @t45 (=> @t134 (= (forall @t99 (not (and @t90 (forall @t97 (not (tptp.in @t117 @t41)))))) (= @t242 @t2))))) % 0.95/1.17 (assume @p376 (forall @t6 (=> @t83 (=> @t435 (tptp.connected @t415))))) % 0.95/1.17 (assume @p377 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (not (and @t288 @t229 @t4))))))) % 0.95/1.17 (assume @p378 (forall @t6 (=> @t83 (=> @t436 (tptp.transitive @t415))))) % 0.95/1.17 (assume @p379 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (=> @t85 (and (tptp.subset @t96 @t122) (tptp.subset @t199 @t123)))))))) % 0.95/1.17 (assume @p380 (forall @t6 (=> @t83 (=> @t437 (tptp.antisymmetric @t415))))) % 0.95/1.17 (assume @p381 (forall @t6 (=> @t83 (=> @t440 (and @t439 @t438))))) % 0.95/1.17 (assume @p382 (forall @t13 (=> @t102 (=> (tptp.finite @t96) (tptp.finite @t199))))) % 0.95/1.17 (assume @p383 (forall @t13 (=> (and @t62 @t61 @t60) (forall @t11 (=> @t59 (forall @t105 (=> @t58 (=> (and @t173 (tptp.below @t1 @t41 @t2)) @t138)))))))) % 0.95/1.17 (assume @p384 (forall @t13 (exists @t11 (and @t83 @t440)))) % 0.95/1.17 (assume @p385 (forall @t45 (=> @t85 (tptp.subset (tptp.set_intersection2 @t1 @t41) @t300)))) % 0.95/1.17 (assume @p386 (forall @t13 (=> @t166 (not (and (forall @t11 (not (and @t3 @t132))) (forall @t11 (=> @t278 (not (and @t388 (forall @t105 (=> @t77 (tptp.in @t387 @t41)))))))))))) % 0.95/1.17 (assume @p387 (forall @t6 (=> @t85 (= @t65 @t1)))) % 0.95/1.17 (assume @p388 (forall @t13 (=> @t116 (forall @t11 (=> @t115 (= @t208 (tptp.open_subset @t410 @t1))))))) % 0.95/1.17 (assume @p389 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.95/1.17 (assume @p390 (forall @t6 (=> @t420 (or @t165 @t5)))) % 0.95/1.17 (assume @p391 (forall @t6 (=> (forall @t105 (= @t77 @t148)) @t86))) % 0.95/1.17 (assume @p392 (forall @t13 (tptp.reflexive @t158))) % 0.95/1.17 (assume @p393 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 0.95/1.17 (assume @p394 (forall @t45 (=> @t42 (=> @t422 (and @t418 (tptp.in @t2 @t417)))))) % 0.95/1.17 (assume @p395 @t445) % 0.95/1.17 (assume @p396 (forall @t13 (=> (forall @t11 (=> @t3 (and @t29 @t84))) @t32))) % 0.95/1.17 (assume @p397 (forall @t6 (=> @t83 (=> @t446 (tptp.well_founded_relation @t415))))) % 0.95/1.17 (assume @p398 (forall @t6 (=> @t29 (not (and @t85 @t154 (forall @t105 (=> @t323 (not (and @t77 (forall @t99 (=> @t330 (=> @t153 (tptp.ordinal_subset @t41 @t75))))))))))))) % 0.95/1.17 (assume @p399 (forall @t6 (=> @t83 (=> @t289 @t438)))) % 0.95/1.17 (assume @p400 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (= @t5 (tptp.ordinal_subset @t142 @t2))))))) % 0.95/1.17 (assume @p401 (forall @t45 (=> @t85 (tptp.subset (tptp.set_difference @t1 @t41) @t301)))) % 0.95/1.17 (assume @p402 (forall @t121 (=> (= @t204 @t78) (and @t393 @t161)))) % 0.95/1.17 (assume @p403 (forall @t6 (=> @t278 (= @t82 (and @t388 (forall @t105 (=> @t77 (= @t387 @t41)))))))) % 0.95/1.17 (assume @p404 (forall @t6 (=> @t3 (= (tptp.apply @t81 @t2) @t2)))) % 0.95/1.17 (assume @p405 (forall @t6 (tptp.subset @t197 @t1))) % 0.95/1.17 (assume @p406 (forall @t13 (=> @t40 (and (= @t199 (tptp.relation_dom @t215)) (= @t96 (tptp.relation_rng @t215)))))) % 0.95/1.17 (assume @p407 (forall @t45 (= (tptp.subset @t53 @t41) (and @t295 @t176)))) % 0.95/1.17 (assume @p408 (forall @t6 (=> @t83 (=> (and @t289 (tptp.subset @t1 @t157)) @t439)))) % 0.95/1.17 (assume @p409 (forall @t6 (= @t447 @t55))) % 0.95/1.17 (assume @p410 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.95/1.17 (assume @p411 (forall @t45 (not (and @t5 @t176 @t77)))) % 0.95/1.17 (assume @p412 (forall @t6 (= @t296 @t85))) % 0.95/1.17 (assume @p413 (forall @t13 (tptp.transitive @t158))) % 0.95/1.17 (assume @p414 (forall @t6 (and (not (and @t449 (forall @t105 (not @t448)))) (not (and (exists @t105 @t448) @t220))))) % 0.95/1.17 (assume @p415 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t131))) % 0.95/1.17 (assume @p416 (forall @t6 (= (tptp.set_difference @t55 @t2) @t197))) % 0.95/1.17 (assume @p417 (forall @t13 (=> @t32 (= @t201 (forall @t11 (=> @t29 (=> @t3 (tptp.in @t384 @t1)))))))) % 0.95/1.17 (assume @p418 (forall @t13 (=> @t32 (and (not (and (not @t201) (forall @t11 (=> @t29 (not @t450))))) (not (and (exists @t11 (and @t29 @t450)) @t201)))))) % 0.95/1.17 (assume @p419 (forall @t6 (=> @t25 (forall @t105 (=> @t71 (= @t452 (tptp.subset @t2 @t451))))))) % 0.95/1.17 (assume @p420 (forall @t13 (=> @t279 (forall @t11 (=> @t146 (=> (forall @t105 (=> @t114 (=> @t148 (tptp.closed_subset @t41 @t1)))) (tptp.closed_subset (tptp.meet_of_subsets @t57 @t2) @t1))))))) % 0.95/1.17 (assume @p421 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (tptp.subset @t453 @t96)))))) % 0.95/1.17 (assume @p422 (forall @t13 (=> @t116 (forall @t11 (=> @t115 (forall @t105 (=> (tptp.in @t41 @t57) (= (tptp.in @t41 @t113) (forall @t99 (=> @t391 (=> @t454 @t152))))))))))) % 0.95/1.17 (assume @p423 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (tptp.subset @t407 @t123)))))) % 0.95/1.17 (assume @p424 (forall @t6 (=> @t85 (= @t2 @t447)))) % 0.95/1.17 (assume @p425 (forall @t121 (=> @t428 (=> @t167 (forall @t97 (= (tptp.in @t87 (tptp.relation_inverse_image @t75 @t41)) (and @t103 (tptp.in (tptp.apply @t75 @t87) @t41)))))))) % 0.95/1.17 (assume @p426 (forall @t13 (=> @t279 (forall @t11 (=> @t115 (exists @t105 (and @t392 (forall @t99 (=> @t391 (= @t98 @t454))) (= @t113 (tptp.meet_of_subsets @t57 @t41))))))))) % 0.95/1.17 (assume @p427 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (=> (tptp.subset @t199 @t122) (= @t453 @t96))))))) % 0.95/1.17 (assume @p428 (forall @t6 (=> @t228 (not (and @t167 (= @t226 tptp.empty_set)))))) % 0.95/1.17 (assume @p429 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (=> (tptp.subset @t96 @t123) (= (tptp.relation_rng @t252) @t199))))))) % 0.95/1.17 (assume @p430 (forall @t6 (=> @t228 (=> @t167 (= (tptp.subset_difference @t1 @t187 @t243) (tptp.meet_of_subsets @t1 @t226)))))) % 0.95/1.17 (assume @p431 (forall @t13 (=> @t116 (forall @t11 (=> @t115 (tptp.subset @t2 @t113)))))) % 0.95/1.17 (assume @p432 (forall @t6 (=> @t228 (=> @t167 (= (tptp.union_of_subsets @t1 @t226) (tptp.subset_difference @t1 @t187 @t245)))))) % 0.95/1.17 (assume @p433 (forall @t6 (= (tptp.set_difference @t1 @t197) @t65))) % 0.95/1.17 (assume @p434 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t219 (=> @t218 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t41)))))))))) % 0.95/1.17 (assume @p435 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.95/1.17 (assume @p436 (forall @t45 (=> (and @t5 @t455) (tptp.element @t1 @t41)))) % 0.95/1.17 (assume @p437 (forall @t13 (=> @t32 (tptp.connected @t158)))) % 0.95/1.17 (assume @p438 (forall @t6 (and (not (and @t449 (forall @t105 (not @t456)))) (not (and (exists @t105 @t456) @t220))))) % 0.95/1.17 (assume @p439 (forall @t13 (=> @t154 (forall @t11 (=> @t25 (forall @t105 (=> (tptp.element @t41 @t1) (=> @t174 (tptp.in @t41 @t203))))))))) % 0.95/1.17 (assume @p440 (forall @t13 (=> @t116 (forall @t11 (=> @t115 (and (=> @t208 @t457) (=> (and @t147 @t457) @t208))))))) % 0.95/1.17 (assume @p441 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t219 (=> @t218 (and (=> @t189 @t434) (=> @t119 @t436) (=> @t118 @t435) (=> @t107 @t437) (=> @t168 @t446)))))))))) % 0.95/1.17 (assume @p442 (forall @t13 (=> @t102 (=> @t49 (forall @t11 (=> @t278 (= (= @t2 @t230) (and (= @t122 @t199) (forall @t80 (and (=> @t458 @t198) (=> @t198 @t458))))))))))) % 0.95/1.17 (assume @p443 (forall @t45 (=> @t71 (not (and (tptp.in @t2 @t451) @t176))))) % 0.95/1.17 (assume @p444 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t219 (=> (and @t190 @t218) @t289)))))))) % 0.95/1.17 (assume @p445 (forall @t13 (=> @t102 (=> @t49 (and (= @t199 (tptp.relation_dom @t230)) (= @t96 (tptp.relation_rng @t230))))))) % 0.95/1.17 (assume @p446 (forall @t13 (=> @t40 (=> (forall @t94 @t292) @t131)))) % 0.95/1.17 (assume @p447 (forall @t6 (=> @t278 (=> (and @t299 (tptp.in @t1 @t123)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t459 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t459 @t2) @t1))))))) % 0.95/1.17 (assume @p448 (forall @t45 (not (and @t5 @t455 (tptp.empty @t41))))) % 0.95/1.17 (assume @p449 (forall @t13 (=> @t40 (= @t168 (tptp.is_well_founded_in @t1 @t106))))) % 0.95/1.17 (assume @p450 (forall @t13 (tptp.antisymmetric @t158))) % 0.95/1.17 (assume @p451 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.95/1.17 (assume @p452 (forall @t6 (not (and @t85 @t7)))) % 0.95/1.17 (assume @p453 (forall @t13 (=> @t102 (=> @t49 (tptp.one_to_one @t230))))) % 0.95/1.17 (assume @p454 (forall @t45 (=> (and @t85 @t452) (tptp.disjoint @t1 @t41)))) % 0.95/1.17 (assume @p455 (forall @t13 (=> @t40 (=> (or @t461 @t460) @t131)))) % 0.95/1.17 (assume @p456 (forall @t13 (=> @t40 (= @t461 @t460)))) % 0.95/1.17 (assume @p457 (forall @t6 (= (= (tptp.set_difference @t1 @t293) @t1) @t4))) % 0.95/1.17 (assume @p458 (forall @t6 (=> @t278 (forall @t105 (=> @t219 (= (= @t2 @t297) (and (= @t122 (tptp.set_intersection2 @t192 @t1)) (forall @t99 (=> (tptp.in @t75 @t122) (= (tptp.apply @t2 @t75) @t217)))))))))) % 0.95/1.17 (assume @p459 (forall @t13 (= (tptp.unordered_pair @t1 @t1) @t141))) % 0.95/1.17 (assume @p460 (forall @t13 (=> @t22 @t131))) % 0.95/1.17 (assume @p461 (forall @t121 (=> @t428 (=> @t77 (or @t132 (tptp.in @t427 @t405)))))) % 0.95/1.17 (assume @p462 (forall @t13 (=> @t32 (tptp.well_founded_relation @t158)))) % 0.95/1.17 (assume @p463 (forall @t6 (=> (tptp.subset @t141 @t293) @t86))) % 0.95/1.17 (assume @p464 (forall @t45 (=> @t219 (=> @t298 @t462)))) % 0.95/1.17 (assume @p465 (forall @t13 (and (= (tptp.relation_dom @t81) @t1) (= (tptp.relation_rng @t81) @t1)))) % 0.95/1.17 (assume @p466 (forall @t45 (=> @t219 (=> @t3 @t462)))) % 0.95/1.17 (assume @p467 (forall @t121 (=> @t350 (= (tptp.in @t204 (tptp.relation_composition (tptp.identity_relation @t41) @t75)) (and @t295 (tptp.in @t204 @t75)))))) % 0.95/1.17 (assume @p468 (forall @t6 (not (and @t5 @t165)))) % 0.95/1.17 (assume @p469 (forall @t6 (and (= (tptp.pair_first @t204) @t1) (= (tptp.pair_second @t204) @t2)))) % 0.95/1.17 (assume @p470 (forall @t6 (not (and @t5 (forall @t105 (not (and @t148 (forall @t99 (not (and @t90 @t98)))))))))) % 0.95/1.17 (assume @p471 (forall @t13 (=> @t32 (tptp.well_ordering @t158)))) % 0.95/1.17 (assume @p472 (forall @t6 (tptp.subset @t1 @t55))) % 0.95/1.17 (assume @p473 (forall @t6 (= @t220 (= @t197 @t1)))) % 0.95/1.17 (assume @p474 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_dom @t398)) (and @t5 @t421))))) % 0.95/1.17 (assume @p475 (forall @t6 (=> @t83 (tptp.subset @t416 @t2)))) % 0.95/1.17 (assume @p476 (forall @t6 (not (and @t22 @t229 @t165)))) % 0.95/1.17 (assume @p477 (forall @t45 (=> @t219 (= @t422 (and @t421 (= @t2 @t424)))))) % 0.95/1.17 (assume @p478 (forall @t13 (=> @t40 (= (tptp.well_orders @t1 @t106) @t190)))) % 0.95/1.17 (assume @p479 (forall @t45 (=> (and @t85 @t180) (tptp.subset (tptp.set_union2 @t1 @t41) @t2)))) % 0.95/1.17 (assume @p480 (forall @t45 (=> @t463 @t86))) % 0.95/1.17 (assume @p481 (forall @t6 (=> @t83 (= (tptp.relation_dom @t416) @t402)))) % 0.95/1.17 (assume @p482 (forall @t6 (=> @t83 (= @t416 (tptp.relation_composition @t81 @t2))))) % 0.95/1.17 (assume @p483 (forall @t6 (=> @t83 (tptp.subset (tptp.relation_rng @t416) @t123)))) % 0.95/1.17 (assume @p484 (forall @t13 (= (tptp.union @t24) @t1))) % 0.95/1.17 (assume @p485 (forall @t121 (=> @t428 (=> @t346 (or (and @t132 @t154) (and @t232 (tptp.quasi_total @t75 @t1 @t41) (tptp.relation_of2_as_subset @t75 @t1 @t41))))))) % 0.95/1.17 (assume @p486 (forall @t13 (exists @t11 (and @t5 @t397 (forall @t105 (not (and @t148 (forall @t99 (not (and @t90 (forall @t97 (=> (tptp.subset @t87 @t41) @t120)))))))) @t395)))) % 0.95/1.17 (assume @p487 (forall @t45 (=> @t463 @t138))) % 0.95/1.17 (step @p488 :rule bool-impl-elim :args (@t25 @t464)) % 0.95/1.17 (step @p489 :rule cong :premises (@p488) :args ((forall @t6 (=> @t25 @t464)))) % 0.95/1.17 (step @p490 :rule eq-symm :args (@t283 @t2)) % 0.95/1.17 (step @p491 :rule refl :args (@t25)) % 0.95/1.17 (step @p492 :rule cong :premises (@p491 @p490) :args (@t284)) % 0.95/1.17 (step @p493 :rule cong :premises (@p492) :args (@t285)) % 0.95/1.17 (step @p494 :rule trans :premises (@p493 @p489)) % 0.95/1.17 (step @p495 :rule eq_resolve :premises (@p220 @p494)) % 0.95/1.17 (step @p496 :rule instantiate :premises (@p495) :args (@t475)) % 0.95/1.17 (step @p497 :rule aci_norm :args ((= @t477 @t469))) % 0.95/1.17 (step @p498 :rule cong :premises (@p497) :args (@t478)) % 0.95/1.17 (step @p499 :rule quant-merge-prenex :args ((= (forall @t13 @t480) @t478))) % 0.95/1.17 (step @p500 :rule alpha_equiv :args (@t481 (@list @t465) @t482)) % 0.95/1.17 (step @p501 :rule refl :args (@t468)) % 0.95/1.17 (step @p502 :rule nary_cong :premises (@p501 @p500) :args (@t483)) % 0.95/1.17 (step @p503 :rule quant-miniscope-or :args ((= @t480 @t483))) % 0.95/1.17 (step @p504 :rule trans :premises (@p503 @p502)) % 0.95/1.17 (step @p505 :rule symm :premises (@p504)) % 0.95/1.17 (step @p506 :rule cong :premises (@p505) :args ((forall @t13 (or @t468 @t485)))) % 0.95/1.17 (step @p507 :rule trans :premises (@p506 @p499)) % 0.95/1.17 (step @p508 :rule trans :premises (@p507 @p498)) % 0.95/1.17 (step @p509 :rule bool-impl-elim :args (@t116 @t485)) % 0.95/1.17 (step @p510 :rule cong :premises (@p509) :args ((forall @t13 (=> @t116 @t485)))) % 0.95/1.17 (step @p511 :rule trans :premises (@p510 @p508)) % 0.95/1.17 (step @p512 :rule bool-impl-elim :args (@t115 @t441)) % 0.95/1.17 (step @p513 :rule cong :premises (@p512) :args (@t442)) % 0.95/1.17 (step @p514 :rule refl :args (@t116)) % 0.95/1.17 (step @p515 :rule cong :premises (@p514 @p513) :args (@t443)) % 0.95/1.17 (step @p516 :rule cong :premises (@p515) :args (@t444)) % 0.95/1.17 (step @p517 :rule trans :premises (@p516 @p511)) % 0.95/1.17 (step @p518 :rule cong :premises (@p517) :args (@t445)) % 0.95/1.17 (step @p519 :rule eq_resolve :premises (@p395 @p518)) % 0.95/1.17 (step @p520 :rule skolemize :premises (@p519)) % 0.95/1.17 (step @p521 :rule bool-double-not-elim :args (@t487)) % 0.95/1.17 (step @p522 :rule refl :args (@t495)) % 0.95/1.17 (step @p523 :rule nary_cong :premises (@p522 @p521) :args ((or @t495 (not @t492)))) % 0.95/1.17 (step @p524 :rule cnf_or_neg :args (@t495 1)) % 0.95/1.17 (step @p525 :rule eq_resolve :premises (@p524 @p523)) % 0.95/1.17 (step @p526 :rule reordering :premises (@p525) :args ((or @t487 @t495))) % 0.95/1.17 (step @p527 :rule chain_m_resolution :premises (@p526 @p520) :args (@t487 @t496 @t497)) % 0.95/1.17 (step @p528 :rule cnf_or_pos :args (@t500)) % 0.95/1.17 (step @p529 :rule reordering :premises (@p528) :args ((or @t492 @t499 (not @t500)))) % 0.95/1.17 (step @p530 :rule chain_m_resolution :premises (@p529 @p527 @p496) :args (@t499 @t501 (@list @t487 @t500))) % 0.95/1.17 (step @p531 :rule aci_norm :args ((= @t508 @t506))) % 0.95/1.17 (step @p532 :rule cong :premises (@p531) :args (@t510)) % 0.95/1.17 (step @p533 :rule quant-merge-prenex :args ((= (forall @t13 @t512) @t510))) % 0.95/1.17 (step @p534 :rule alpha_equiv :args (@t513 (@list @t502) @t482)) % 0.95/1.17 (step @p535 :rule refl :args (@t505)) % 0.95/1.17 (step @p536 :rule nary_cong :premises (@p535 @p534) :args (@t514)) % 0.95/1.17 (step @p537 :rule quant-miniscope-or :args ((= @t512 @t514))) % 0.95/1.17 (step @p538 :rule trans :premises (@p537 @p536)) % 0.95/1.17 (step @p539 :rule symm :premises (@p538)) % 0.95/1.17 (step @p540 :rule cong :premises (@p539) :args ((forall @t13 (or @t505 @t516)))) % 0.95/1.17 (step @p541 :rule trans :premises (@p540 @p533)) % 0.95/1.17 (step @p542 :rule trans :premises (@p541 @p532)) % 0.95/1.17 (step @p543 :rule bool-impl-elim :args (@t163 @t516)) % 0.95/1.17 (step @p544 :rule cong :premises (@p543) :args ((forall @t13 (=> @t163 @t516)))) % 0.95/1.17 (step @p545 :rule trans :premises (@p544 @p542)) % 0.95/1.17 (step @p546 :rule bool-impl-elim :args (@t115 @t515)) % 0.95/1.17 (step @p547 :rule cong :premises (@p546) :args ((forall @t11 (=> @t115 @t515)))) % 0.95/1.17 (step @p548 :rule eq-symm :args (@t410 @t207)) % 0.95/1.17 (step @p549 :rule refl :args (@t115)) % 0.95/1.17 (step @p550 :rule cong :premises (@p549 @p548) :args (@t411)) % 0.95/1.17 (step @p551 :rule cong :premises (@p550) :args (@t412)) % 0.95/1.17 (step @p552 :rule trans :premises (@p551 @p547)) % 0.95/1.17 (step @p553 :rule refl :args (@t163)) % 0.95/1.17 (step @p554 :rule cong :premises (@p553 @p552) :args (@t413)) % 0.95/1.17 (step @p555 :rule cong :premises (@p554) :args (@t414)) % 0.95/1.17 (step @p556 :rule trans :premises (@p555 @p545)) % 0.95/1.17 (step @p557 :rule eq_resolve :premises (@p350 @p556)) % 0.95/1.17 (step @p558 :rule eq-symm :args (@t518 @t488)) % 0.95/1.17 (step @p559 :rule refl :args (@t492)) % 0.95/1.17 (step @p560 :rule refl :args (@t520)) % 0.95/1.17 (step @p561 :rule nary_cong :premises (@p560 @p559 @p558) :args (@t521)) % 0.95/1.17 (step @p562 :rule refl :args (@t522)) % 0.95/1.17 (step @p563 :rule cong :premises (@p562 @p561) :args ((=> @t522 @t521))) % 0.95/1.17 (assume-push @p730 @t522) % 0.95/1.17 (step @p565 :rule instantiate :premises (@p557) :args (@t523)) % 0.95/1.17 (step-pop @p731 :rule scope :premises (@p565)) % 0.95/1.17 (step @p566 :rule process_scope :premises (@p731) :args (@t521)) % 0.95/1.17 (step @p568 :rule eq_resolve :premises (@p566 @p563)) % 0.95/1.17 (step @p569 :rule implies_elim :premises (@p568)) % 0.95/1.17 (step @p570 :rule chain_m_resolution :premises (@p569 @p557) :args (@t525 (@list false) (@list @t522))) % 0.95/1.17 (step @p571 :rule bool-impl-elim :args (@t116 @t163)) % 0.95/1.17 (step @p572 :rule cong :premises (@p571) :args (@t249)) % 0.95/1.17 (step @p573 :rule eq_resolve :premises (@p144 @p572)) % 0.95/1.17 (step @p574 :rule instantiate :premises (@p573) :args ((@list @t473))) % 0.95/1.17 (step @p575 :rule bool-double-not-elim :args (@t493)) % 0.95/1.17 (step @p576 :rule nary_cong :premises (@p522 @p575) :args ((or @t495 (not @t494)))) % 0.95/1.17 (step @p577 :rule cnf_or_neg :args (@t495 0)) % 0.95/1.17 (step @p578 :rule eq_resolve :premises (@p577 @p576)) % 0.95/1.17 (step @p579 :rule reordering :premises (@p578) :args ((or @t493 @t495))) % 0.95/1.17 (step @p580 :rule chain_m_resolution :premises (@p579 @p520) :args (@t493 @t496 @t497)) % 0.95/1.17 (step @p581 :rule cnf_or_pos :args (@t526)) % 0.95/1.17 (step @p582 :rule reordering :premises (@p581) :args ((or @t494 @t519 (not @t526)))) % 0.95/1.17 (step @p583 :rule chain_m_resolution :premises (@p582 @p580 @p574) :args (@t519 @t501 (@list @t493 @t526))) % 0.95/1.17 (step @p584 :rule cnf_or_pos :args (@t525)) % 0.95/1.17 (step @p585 :rule reordering :premises (@p584) :args ((or @t492 @t520 @t524 (not @t525)))) % 0.95/1.17 (step @p586 :rule chain_m_resolution :premises (@p585 @p527 @p583 @p570) :args (@t524 @t527 (@list @t487 @t519 @t525))) % 0.95/1.17 (step @p587 :rule aci_norm :args ((= @t532 (or @t505 @t530 @t529)))) % 0.95/1.17 (step @p588 :rule cong :premises (@p587) :args (@t533)) % 0.95/1.17 (step @p589 :rule quant-merge-prenex :args ((= (forall @t13 @t535) @t533))) % 0.95/1.17 (step @p590 :rule alpha_equiv :args (@t536 (@list @t528) @t482)) % 0.95/1.17 (step @p591 :rule nary_cong :premises (@p535 @p590) :args (@t537)) % 0.95/1.17 (step @p592 :rule quant-miniscope-or :args ((= @t535 @t537))) % 0.95/1.17 (step @p593 :rule trans :premises (@p592 @p591)) % 0.95/1.17 (step @p594 :rule symm :premises (@p593)) % 0.95/1.17 (step @p595 :rule cong :premises (@p594) :args ((forall @t13 (or @t505 @t539)))) % 0.95/1.17 (step @p596 :rule trans :premises (@p595 @p589)) % 0.95/1.17 (step @p597 :rule trans :premises (@p596 @p588)) % 0.95/1.17 (step @p598 :rule bool-impl-elim :args (@t163 @t539)) % 0.95/1.17 (step @p599 :rule cong :premises (@p598) :args ((forall @t13 (=> @t163 @t539)))) % 0.95/1.17 (step @p600 :rule trans :premises (@p599 @p597)) % 0.95/1.17 (step @p601 :rule bool-impl-elim :args (@t115 @t538)) % 0.95/1.17 (step @p602 :rule cong :premises (@p601) :args ((forall @t11 (=> @t115 @t538)))) % 0.95/1.17 (step @p603 :rule eq-symm :args (@t429 @t2)) % 0.95/1.17 (step @p604 :rule cong :premises (@p549 @p603) :args (@t430)) % 0.95/1.17 (step @p605 :rule cong :premises (@p604) :args (@t431)) % 0.95/1.17 (step @p606 :rule trans :premises (@p605 @p602)) % 0.95/1.17 (step @p607 :rule cong :premises (@p553 @p606) :args (@t432)) % 0.95/1.17 (step @p608 :rule cong :premises (@p607) :args (@t433)) % 0.95/1.17 (step @p609 :rule trans :premises (@p608 @p600)) % 0.95/1.17 (step @p610 :rule eq_resolve :premises (@p369 @p609)) % 0.95/1.17 (step @p611 :rule instantiate :premises (@p610) :args (@t523)) % 0.95/1.17 (step @p612 :rule cnf_or_pos :args (@t541)) % 0.95/1.17 (step @p613 :rule reordering :premises (@p612) :args ((or @t492 @t520 @t540 (not @t541)))) % 0.95/1.17 (step @p614 :rule chain_m_resolution :premises (@p613 @p527 @p583 @p611) :args (@t540 @t527 (@list @t487 @t519 @t541))) % 0.95/1.17 (step @p615 :rule cnf_or_neg :args (@t495 2)) % 0.95/1.17 (step @p616 :rule chain_m_resolution :premises (@p615 @p520) :args ((not @t491) @t496 @t497)) % 0.95/1.17 (step @p617 :rule cnf_equiv_neg1 :args (@t491)) % 0.95/1.17 (step @p618 :rule reordering :premises (@p617) :args ((or @t490 @t489 @t491))) % 0.95/1.17 (step @p619 :rule aci_norm :args ((= @t546 (or @t468 @t544 @t543)))) % 0.95/1.17 (step @p620 :rule cong :premises (@p619) :args (@t547)) % 0.95/1.17 (step @p621 :rule quant-merge-prenex :args ((= (forall @t13 @t549) @t547))) % 0.95/1.17 (step @p622 :rule alpha_equiv :args (@t550 (@list @t542) @t482)) % 0.95/1.17 (step @p623 :rule nary_cong :premises (@p501 @p622) :args (@t551)) % 0.95/1.17 (step @p624 :rule quant-miniscope-or :args ((= @t549 @t551))) % 0.95/1.17 (step @p625 :rule trans :premises (@p624 @p623)) % 0.95/1.17 (step @p626 :rule symm :premises (@p625)) % 0.95/1.17 (step @p627 :rule cong :premises (@p626) :args ((forall @t13 (or @t468 @t552)))) % 0.95/1.17 (step @p628 :rule trans :premises (@p627 @p621)) % 0.95/1.17 (step @p629 :rule trans :premises (@p628 @p620)) % 0.95/1.17 (step @p630 :rule bool-impl-elim :args (@t116 @t552)) % 0.95/1.17 (step @p631 :rule cong :premises (@p630) :args ((forall @t13 (=> @t116 @t552)))) % 0.95/1.17 (step @p632 :rule trans :premises (@p631 @p629)) % 0.95/1.17 (step @p633 :rule bool-impl-elim :args (@t115 @t209)) % 0.95/1.17 (step @p634 :rule cong :premises (@p633) :args (@t210)) % 0.95/1.17 (step @p635 :rule cong :premises (@p514 @p634) :args (@t211)) % 0.95/1.17 (step @p636 :rule cong :premises (@p635) :args (@t212)) % 0.95/1.17 (step @p637 :rule trans :premises (@p636 @p632)) % 0.95/1.17 (step @p638 :rule eq_resolve :premises (@p102 @p637)) % 0.95/1.17 (step @p639 :rule instantiate :premises (@p638) :args ((@list @t473 @t488))) % 0.95/1.17 (step @p640 :rule bool-impl-elim :args (@t25 @t236)) % 0.95/1.17 (step @p641 :rule cong :premises (@p640) :args (@t237)) % 0.95/1.17 (step @p642 :rule eq_resolve :premises (@p128 @p641)) % 0.95/1.17 (step @p643 :rule instantiate :premises (@p642) :args (@t475)) % 0.95/1.17 (step @p644 :rule cnf_or_pos :args (@t554)) % 0.95/1.17 (step @p645 :rule reordering :premises (@p644) :args ((or @t492 @t553 (not @t554)))) % 0.95/1.17 (step @p646 :rule chain_m_resolution :premises (@p645 @p527 @p643) :args (@t553 @t501 (@list @t487 @t554))) % 0.95/1.17 (step @p647 :rule cnf_or_pos :args (@t559)) % 0.95/1.17 (step @p648 :rule reordering :premises (@p647) :args ((or @t494 @t558 @t557 (not @t559)))) % 0.95/1.17 (step @p649 :rule chain_m_resolution :premises (@p648 @p580 @p646 @p639) :args (@t557 @t527 (@list @t493 @t553 @t559))) % 0.95/1.17 (step @p650 :rule cnf_equiv_pos2 :args (@t557)) % 0.95/1.17 (step @p651 :rule reordering :premises (@p650) :args ((or @t489 @t561 @t560))) % 0.95/1.17 (assume-push @p732 @t490) % 0.95/1.17 (assume-push @p733 @t499) % 0.95/1.17 (assume-push @p734 @t524) % 0.95/1.17 (assume-push @p735 @t540) % 0.95/1.17 (assume-push @p736 @t490) % 0.95/1.17 (assume-push @p737 @t499) % 0.95/1.17 (assume-push @p738 @t540) % 0.95/1.17 (assume-push @p739 @t524) % 0.95/1.17 (step @p660 :rule true_intro :premises (@p732)) % 0.95/1.17 (step @p661 :rule refl :args (@t473)) % 0.95/1.17 (step @p662 :rule symm :premises (@p530)) % 0.95/1.17 (step @p663 :rule cong :premises (@p662 @p661) :args (@t562)) % 0.95/1.17 (step @p664 :rule symm :premises (@p614)) % 0.95/1.17 (step @p665 :rule refl :args (@t517)) % 0.95/1.17 (step @p666 :rule refl :args (@t474)) % 0.95/1.17 (step @p667 :rule cong :premises (@p666 @p665 @p586) :args (@t555)) % 0.95/1.17 (step @p668 :rule trans :premises (@p667 @p664)) % 0.95/1.17 (step @p669 :rule trans :premises (@p668 @p530)) % 0.95/1.17 (step @p670 :rule cong :premises (@p669 @p661) :args (@t556)) % 0.95/1.17 (step @p671 :rule trans :premises (@p670 @p663 @p660)) % 0.95/1.17 (step @p672 :rule true_elim :premises (@p671)) % 0.95/1.17 (step-pop @p740 :rule scope :premises (@p672)) % 0.95/1.17 (step-pop @p741 :rule scope :premises (@p740)) % 0.95/1.17 (step-pop @p742 :rule scope :premises (@p741)) % 0.95/1.17 (step-pop @p743 :rule scope :premises (@p742)) % 0.95/1.17 (step @p673 :rule process_scope :premises (@p743) :args (@t556)) % 0.95/1.17 (step @p678 :rule and_intro :premises (@p732 @p530 @p614 @p586)) % 0.95/1.17 (step @p679 :rule modus_ponens :premises (@p678 @p673)) % 0.95/1.17 (step-pop @p744 :rule scope :premises (@p679)) % 0.95/1.17 (step-pop @p745 :rule scope :premises (@p744)) % 0.95/1.17 (step-pop @p746 :rule scope :premises (@p745)) % 0.95/1.17 (step-pop @p747 :rule scope :premises (@p746)) % 0.95/1.17 (step @p680 :rule process_scope :premises (@p747) :args (@t556)) % 0.95/1.17 (step @p685 :rule implies_elim :premises (@p680)) % 0.95/1.17 (step @p686 :rule cnf_and_neg :args (@t563)) % 0.95/1.17 (step @p687 :rule resolution :premises (@p686 @p685) :args (true @t563)) % 0.95/1.17 (step @p688 :rule reordering :premises (@p687) :args ((or @t567 @t556 @t566 @t565 @t564))) % 0.95/1.17 (step @p689 :rule chain_m_resolution :premises (@p688 @p614 @p586 @p530 @p651 @p649 @p618 @p616) :args (@t489 (@list false false false true false false true) (@list @t540 @t524 @t499 @t556 @t557 @t490 @t491))) % 0.95/1.17 (step @p690 :rule cnf_equiv_neg2 :args (@t491)) % 0.95/1.17 (step @p691 :rule chain_m_resolution :premises (@p690 @p616 @p689) :args (@t567 (@list true false) (@list @t491 @t489))) % 0.95/1.17 (step @p692 :rule cnf_equiv_pos1 :args (@t557)) % 0.95/1.17 (step @p693 :rule reordering :premises (@p692) :args ((or (not @t489) @t556 @t560))) % 0.95/1.17 (step @p694 :rule chain_m_resolution :premises (@p693 @p689 @p649) :args (@t556 @t501 (@list @t489 @t557))) % 0.95/1.17 (step @p695 :rule refl :args (@t561)) % 0.95/1.17 (step @p696 :rule refl :args (@t564)) % 0.95/1.17 (step @p697 :rule refl :args (@t565)) % 0.95/1.17 (step @p698 :rule refl :args (@t566)) % 0.95/1.17 (step @p699 :rule bool-double-not-elim :args (@t490)) % 0.95/1.17 (step @p700 :rule nary_cong :premises (@p699 @p698 @p697 @p696 @p695) :args ((or (not @t567) @t566 @t565 @t564 @t561))) % 0.95/1.17 (assume-push @p748 @t567) % 0.95/1.17 (assume-push @p749 @t499) % 0.95/1.17 (assume-push @p750 @t524) % 0.95/1.17 (assume-push @p751 @t540) % 0.95/1.17 (assume-push @p752 @t567) % 0.95/1.17 (assume-push @p753 @t499) % 0.95/1.17 (assume-push @p754 @t540) % 0.95/1.17 (assume-push @p755 @t524) % 0.95/1.17 (step @p709 :rule false_intro :premises (@p748)) % 0.95/1.17 (step @p661 :rule refl :args (@t473)) % 0.95/1.17 (step @p662 :rule symm :premises (@p530)) % 0.95/1.17 (step @p663 :rule cong :premises (@p662 @p661) :args (@t562)) % 0.95/1.17 (step @p664 :rule symm :premises (@p614)) % 0.95/1.17 (step @p665 :rule refl :args (@t517)) % 0.95/1.17 (step @p666 :rule refl :args (@t474)) % 0.95/1.17 (step @p667 :rule cong :premises (@p666 @p665 @p586) :args (@t555)) % 0.95/1.17 (step @p668 :rule trans :premises (@p667 @p664)) % 0.95/1.17 (step @p669 :rule trans :premises (@p668 @p530)) % 0.95/1.17 (step @p670 :rule cong :premises (@p669 @p661) :args (@t556)) % 0.95/1.17 (step @p710 :rule trans :premises (@p670 @p663 @p709)) % 0.95/1.17 (step @p711 :rule false_elim :premises (@p710)) % 0.95/1.17 (step-pop @p756 :rule scope :premises (@p711)) % 0.95/1.17 (step-pop @p757 :rule scope :premises (@p756)) % 0.95/1.17 (step-pop @p758 :rule scope :premises (@p757)) % 0.95/1.17 (step-pop @p759 :rule scope :premises (@p758)) % 0.95/1.17 (step @p712 :rule process_scope :premises (@p759) :args (@t561)) % 0.95/1.17 (step @p717 :rule and_intro :premises (@p748 @p530 @p614 @p586)) % 0.95/1.17 (step @p718 :rule modus_ponens :premises (@p717 @p712)) % 0.95/1.17 (step-pop @p760 :rule scope :premises (@p718)) % 0.95/1.17 (step-pop @p761 :rule scope :premises (@p760)) % 0.95/1.17 (step-pop @p762 :rule scope :premises (@p761)) % 0.95/1.17 (step-pop @p763 :rule scope :premises (@p762)) % 0.95/1.17 (step @p719 :rule process_scope :premises (@p763) :args (@t561)) % 0.95/1.17 (step @p724 :rule implies_elim :premises (@p719)) % 0.95/1.17 (step @p725 :rule cnf_and_neg :args (@t568)) % 0.95/1.17 (step @p726 :rule resolution :premises (@p725 @p724) :args (true @t568)) % 0.95/1.17 (step @p727 :rule eq_resolve :premises (@p726 @p700)) % 0.95/1.17 (step @p728 :rule reordering :premises (@p727) :args ((or @t490 @t561 @t566 @t565 @t564))) % 0.95/1.17 (step @p729 false :rule chain_m_resolution :premises (@p728 @p694 @p691 @p614 @p586 @p530) :args (false (@list false true false false false) (@list @t556 @t490 @t540 @t524 @t499))) % 0.95/1.17 ) % 0.95/1.17 % SZS output end Proof % 0.95/1.17 % cvc5 exiting %------------------------------------------------------------------------------