%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU332+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 : n016.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 08:51:25 AM UTC 2026 % Result : Theorem 0.51s 1.00s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU332+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 % 0.17/0.35 % Computer : n016.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:57:54 EDT 2026 % 0.17/0.35 % CPUTime : % 0.39/0.64 %----Proving TF0_NAR, FOF, or CNF % 0.51/1.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/1.00 % SZS status Theorem % 0.51/1.00 % SZS output start Proof % 0.51/1.00 ( % 0.51/1.00 (declare-sort $$unsorted 0) % 0.51/1.00 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.function (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.empty_set $$unsorted) % 0.51/1.00 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.omega $$unsorted) % 0.51/1.00 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.51/1.00 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 0.51/1.00 (declare-const tptp.top_str (-> $$unsorted Bool)) % 0.51/1.00 (define @t1 () (@var "A" $$unsorted)) % 0.51/1.00 (define @t2 () (@var "B" $$unsorted)) % 0.51/1.00 (define @t3 () (tptp.in @t2 @t1)) % 0.51/1.00 (define @t4 () (not @t3)) % 0.51/1.00 (define @t5 () (tptp.in @t1 @t2)) % 0.51/1.00 (define @t6 () (@list @t1 @t2)) % 0.51/1.00 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.51/1.00 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.51/1.00 (define @t9 () (tptp.v1_xcmplx_0 @t2)) % 0.51/1.00 (define @t10 () (tptp.element @t2 @t1)) % 0.51/1.00 (define @t11 () (@list @t2)) % 0.51/1.00 (define @t12 () (tptp.v1_membered @t1)) % 0.51/1.00 (define @t13 () (@list @t1)) % 0.51/1.00 (define @t14 () (tptp.v1_xreal_0 @t2)) % 0.51/1.00 (define @t15 () (tptp.v2_membered @t1)) % 0.51/1.00 (define @t16 () (tptp.v1_rat_1 @t2)) % 0.51/1.00 (define @t17 () (tptp.v3_membered @t1)) % 0.51/1.00 (define @t18 () (tptp.v1_int_1 @t2)) % 0.51/1.00 (define @t19 () (tptp.v4_membered @t1)) % 0.51/1.00 (define @t20 () (tptp.natural @t2)) % 0.51/1.00 (define @t21 () (tptp.v5_membered @t1)) % 0.51/1.00 (define @t22 () (tptp.empty @t1)) % 0.51/1.00 (define @t23 () (tptp.v1_membered @t2)) % 0.51/1.00 (define @t24 () (tptp.powerset @t1)) % 0.51/1.00 (define @t25 () (tptp.element @t2 @t24)) % 0.51/1.00 (define @t26 () (tptp.v2_membered @t2)) % 0.51/1.00 (define @t27 () (tptp.v3_membered @t2)) % 0.51/1.00 (define @t28 () (tptp.v4_membered @t2)) % 0.51/1.00 (define @t29 () (tptp.ordinal @t2)) % 0.51/1.00 (define @t30 () (tptp.epsilon_connected @t2)) % 0.51/1.00 (define @t31 () (tptp.epsilon_transitive @t2)) % 0.51/1.00 (define @t32 () (tptp.ordinal @t1)) % 0.51/1.00 (define @t33 () (tptp.finite @t1)) % 0.51/1.00 (define @t34 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 0.51/1.00 (define @t35 () (tptp.preboolean @t1)) % 0.51/1.00 (define @t36 () (tptp.function @t1)) % 0.51/1.00 (define @t37 () (tptp.epsilon_connected @t1)) % 0.51/1.00 (define @t38 () (tptp.epsilon_transitive @t1)) % 0.51/1.00 (define @t39 () (and @t38 @t37)) % 0.51/1.00 (define @t40 () (tptp.relation @t1)) % 0.51/1.00 (define @t41 () (@var "C" $$unsorted)) % 0.51/1.00 (define @t42 () (tptp.relation @t41)) % 0.51/1.00 (define @t43 () (tptp.cartesian_product2 @t1 @t2)) % 0.51/1.00 (define @t44 () (tptp.element @t41 (tptp.powerset @t43))) % 0.51/1.00 (define @t45 () (@list @t1 @t2 @t41)) % 0.51/1.00 (define @t46 () (tptp.natural @t1)) % 0.51/1.00 (define @t47 () (and @t38 @t37 @t32 @t46)) % 0.51/1.00 (define @t48 () (tptp.finite @t2)) % 0.51/1.00 (define @t49 () (tptp.one_to_one @t1)) % 0.51/1.00 (define @t50 () (and @t40 @t36 @t49)) % 0.51/1.00 (define @t51 () (and @t40 @t22 @t36)) % 0.51/1.00 (define @t52 () (and @t38 @t37 @t32)) % 0.51/1.00 (define @t53 () (tptp.unordered_pair @t1 @t2)) % 0.51/1.00 (define @t54 () (tptp.set_union2 @t2 @t1)) % 0.51/1.00 (define @t55 () (tptp.set_union2 @t1 @t2)) % 0.51/1.00 (define @t56 () (tptp.join_commut @t1 @t2 @t41)) % 0.51/1.00 (define @t57 () (tptp.the_carrier @t1)) % 0.51/1.00 (define @t58 () (tptp.element @t41 @t57)) % 0.51/1.00 (define @t59 () (tptp.element @t2 @t57)) % 0.51/1.00 (define @t60 () (tptp.join_semilatt_str @t1)) % 0.51/1.00 (define @t61 () (tptp.join_commutative @t1)) % 0.51/1.00 (define @t62 () (tptp.empty_carrier @t1)) % 0.51/1.00 (define @t63 () (not @t62)) % 0.51/1.00 (define @t64 () (and @t63 @t61 @t60 @t59 @t58)) % 0.51/1.00 (define @t65 () (tptp.set_intersection2 @t2 @t1)) % 0.51/1.00 (define @t66 () (tptp.set_intersection2 @t1 @t2)) % 0.51/1.00 (define @t67 () (tptp.meet_commut @t1 @t2 @t41)) % 0.51/1.00 (define @t68 () (tptp.meet_semilatt_str @t1)) % 0.51/1.00 (define @t69 () (tptp.meet_commutative @t1)) % 0.51/1.00 (define @t70 () (and @t63 @t69 @t68 @t59 @t58)) % 0.51/1.00 (define @t71 () (tptp.subset_intersection2 @t1 @t2 @t41)) % 0.51/1.00 (define @t72 () (tptp.element @t41 @t24)) % 0.51/1.00 (define @t73 () (and @t25 @t72)) % 0.51/1.00 (define @t74 () (tptp.ordinal_subset @t1 @t2)) % 0.51/1.00 (define @t75 () (and @t32 @t29)) % 0.51/1.00 (define @t76 () (@var "D" $$unsorted)) % 0.51/1.00 (define @t77 () (= @t41 @t76)) % 0.51/1.00 (define @t78 () (tptp.in @t41 @t1)) % 0.51/1.00 (define @t79 () (tptp.ordered_pair @t41 @t76)) % 0.51/1.00 (define @t80 () (tptp.in @t79 @t2)) % 0.51/1.00 (define @t81 () (@list @t41 @t76)) % 0.51/1.00 (define @t82 () (tptp.identity_relation @t1)) % 0.51/1.00 (define @t83 () (= @t2 @t82)) % 0.51/1.00 (define @t84 () (tptp.relation @t2)) % 0.51/1.00 (define @t85 () (tptp.subset @t2 @t1)) % 0.51/1.00 (define @t86 () (tptp.subset @t1 @t2)) % 0.51/1.00 (define @t87 () (= @t1 @t2)) % 0.51/1.00 (define @t88 () (@var "E" $$unsorted)) % 0.51/1.00 (define @t89 () (tptp.ordered_pair @t76 @t88)) % 0.51/1.00 (define @t90 () (tptp.in @t89 @t1)) % 0.51/1.00 (define @t91 () (tptp.in @t76 @t2)) % 0.51/1.00 (define @t92 () (tptp.in @t89 @t41)) % 0.51/1.00 (define @t93 () (@list @t76 @t88)) % 0.51/1.00 (define @t94 () (tptp.relation_dom_restriction @t1 @t2)) % 0.51/1.00 (define @t95 () (@list @t2 @t41)) % 0.51/1.00 (define @t96 () (tptp.in @t88 @t2)) % 0.51/1.00 (define @t97 () (tptp.relation_dom @t1)) % 0.51/1.00 (define @t98 () (@list @t88)) % 0.51/1.00 (define @t99 () (tptp.in @t76 @t41)) % 0.51/1.00 (define @t100 () (@list @t76)) % 0.51/1.00 (define @t101 () (tptp.relation_image @t1 @t2)) % 0.51/1.00 (define @t102 () (= @t41 @t101)) % 0.51/1.00 (define @t103 () (and @t40 @t36)) % 0.51/1.00 (define @t104 () (tptp.in @t88 @t1)) % 0.51/1.00 (define @t105 () (tptp.relation_rng_restriction @t1 @t2)) % 0.51/1.00 (define @t106 () (@list @t41)) % 0.51/1.00 (define @t107 () (tptp.relation_field @t1)) % 0.51/1.00 (define @t108 () (tptp.antisymmetric @t1)) % 0.51/1.00 (define @t109 () (tptp.apply @t1 @t76)) % 0.51/1.00 (define @t110 () (tptp.in @t76 @t97)) % 0.51/1.00 (define @t111 () (= @t41 (tptp.relation_inverse_image @t1 @t2))) % 0.51/1.00 (define @t112 () (tptp.powerset @t57)) % 0.51/1.00 (define @t113 () (tptp.element @t88 @t112)) % 0.51/1.00 (define @t114 () (tptp.topstr_closure @t1 @t2)) % 0.51/1.00 (define @t115 () (tptp.element @t41 @t112)) % 0.51/1.00 (define @t116 () (tptp.element @t2 @t112)) % 0.51/1.00 (define @t117 () (tptp.top_str @t1)) % 0.51/1.00 (define @t118 () (tptp.ordered_pair @t88 @t76)) % 0.51/1.00 (define @t119 () (tptp.connected @t1)) % 0.51/1.00 (define @t120 () (tptp.transitive @t1)) % 0.51/1.00 (define @t121 () (tptp.in @t88 @t76)) % 0.51/1.00 (define @t122 () (@list @t1 @t2 @t41 @t76)) % 0.51/1.00 (define @t123 () (tptp.relation_dom @t2)) % 0.51/1.00 (define @t124 () (tptp.relation_rng @t2)) % 0.51/1.00 (define @t125 () (tptp.function @t2)) % 0.51/1.00 (define @t126 () (tptp.in (tptp.ordered_pair @t2 @t76) @t1)) % 0.51/1.00 (define @t127 () (tptp.ordered_pair @t2 @t41)) % 0.51/1.00 (define @t128 () (tptp.in @t127 @t1)) % 0.51/1.00 (define @t129 () (@list @t2 @t41 @t76)) % 0.51/1.00 (define @t130 () (= @t41 tptp.empty_set)) % 0.51/1.00 (define @t131 () (tptp.quasi_total @t41 @t1 @t2)) % 0.51/1.00 (define @t132 () (= @t1 tptp.empty_set)) % 0.51/1.00 (define @t133 () (= @t2 tptp.empty_set)) % 0.51/1.00 (define @t134 () (tptp.relation_dom_as_subset @t1 @t2 @t41)) % 0.51/1.00 (define @t135 () (tptp.relation_of2_as_subset @t41 @t1 @t2)) % 0.51/1.00 (define @t136 () (tptp.the_L_join @t1)) % 0.51/1.00 (define @t137 () (tptp.join @t1 @t2 @t41)) % 0.51/1.00 (define @t138 () (and @t63 @t60)) % 0.51/1.00 (define @t139 () (= @t2 @t41)) % 0.51/1.00 (define @t140 () (= @t1 @t79)) % 0.51/1.00 (define @t141 () (exists @t95 (= @t1 @t127))) % 0.51/1.00 (define @t142 () (tptp.singleton @t1)) % 0.51/1.00 (define @t143 () (tptp.succ @t1)) % 0.51/1.00 (define @t144 () (tptp.the_topology @t1)) % 0.51/1.00 (define @t145 () (tptp.in @t2 @t144)) % 0.51/1.00 (define @t146 () (tptp.union_of_subsets @t57 @t2)) % 0.51/1.00 (define @t147 () (tptp.powerset @t112)) % 0.51/1.00 (define @t148 () (tptp.element @t2 @t147)) % 0.51/1.00 (define @t149 () (tptp.topological_space @t1)) % 0.51/1.00 (define @t150 () (tptp.in @t41 @t2)) % 0.51/1.00 (define @t151 () (tptp.is_reflexive_in @t1 @t2)) % 0.51/1.00 (define @t152 () (tptp.relation_of2 @t41 @t1 @t2)) % 0.51/1.00 (define @t153 () (= @t2 (tptp.set_meet @t1))) % 0.51/1.00 (define @t154 () (tptp.in @t41 @t76)) % 0.51/1.00 (define @t155 () (tptp.in @t76 @t1)) % 0.51/1.00 (define @t156 () (not @t132)) % 0.51/1.00 (define @t157 () (tptp.empty @t57)) % 0.51/1.00 (define @t158 () (tptp.one_sorted_str @t1)) % 0.51/1.00 (define @t159 () (tptp.subset_complement @t57 @t2)) % 0.51/1.00 (define @t160 () (tptp.interior @t1 @t2)) % 0.51/1.00 (define @t161 () (= @t76 @t2)) % 0.51/1.00 (define @t162 () (tptp.subset @t41 @t76)) % 0.51/1.00 (define @t163 () (tptp.relation_field @t2)) % 0.51/1.00 (define @t164 () (tptp.inclusion_relation @t1)) % 0.51/1.00 (define @t165 () (tptp.the_L_meet @t1)) % 0.51/1.00 (define @t166 () (tptp.meet @t1 @t2 @t41)) % 0.51/1.00 (define @t167 () (= @t2 @t76)) % 0.51/1.00 (define @t168 () (tptp.empty_carrier_subset @t1)) % 0.51/1.00 (define @t169 () (tptp.in @t79 @t1)) % 0.51/1.00 (define @t170 () (tptp.empty @t2)) % 0.51/1.00 (define @t171 () (not @t22)) % 0.51/1.00 (define @t172 () (not @t133)) % 0.51/1.00 (define @t173 () (tptp.well_founded_relation @t1)) % 0.51/1.00 (define @t174 () (@var "F" $$unsorted)) % 0.51/1.00 (define @t175 () (tptp.ordered_pair @t88 @t174)) % 0.51/1.00 (define @t176 () (tptp.in @t174 @t2)) % 0.51/1.00 (define @t177 () (@list @t88 @t174)) % 0.51/1.00 (define @t178 () (tptp.below @t1 @t2 @t41)) % 0.51/1.00 (define @t179 () (not @t150)) % 0.51/1.00 (define @t180 () (not @t139)) % 0.51/1.00 (define @t181 () (tptp.in @t2 @t41)) % 0.51/1.00 (define @t182 () (tptp.cast_as_carrier_subset @t1)) % 0.51/1.00 (define @t183 () (forall @t106 (=> @t78 @t150))) % 0.51/1.00 (define @t184 () (not @t130)) % 0.51/1.00 (define @t185 () (tptp.subset @t41 @t2)) % 0.51/1.00 (define @t186 () (tptp.is_well_founded_in @t1 @t2)) % 0.51/1.00 (define @t187 () (tptp.apply @t1 @t2)) % 0.51/1.00 (define @t188 () (= @t41 @t187)) % 0.51/1.00 (define @t189 () (tptp.in @t2 @t97)) % 0.51/1.00 (define @t190 () (tptp.in (tptp.ordered_pair @t76 @t41) @t1)) % 0.51/1.00 (define @t191 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.51/1.00 (define @t192 () (tptp.cast_to_subset @t1)) % 0.51/1.00 (define @t193 () (tptp.union @t1)) % 0.51/1.00 (define @t194 () (tptp.reflexive @t1)) % 0.51/1.00 (define @t195 () (tptp.well_ordering @t1)) % 0.51/1.00 (define @t196 () (tptp.relation_rng @t41)) % 0.51/1.00 (define @t197 () (tptp.relation_dom @t41)) % 0.51/1.00 (define @t198 () (= @t197 @t1)) % 0.51/1.00 (define @t199 () (tptp.one_to_one @t41)) % 0.51/1.00 (define @t200 () (tptp.function @t41)) % 0.51/1.00 (define @t201 () (tptp.equipotent @t1 @t2)) % 0.51/1.00 (define @t202 () (tptp.set_difference @t1 @t2)) % 0.51/1.00 (define @t203 () (and @t110 (= @t41 @t109))) % 0.51/1.00 (define @t204 () (tptp.relation_rng @t1)) % 0.51/1.00 (define @t205 () (= @t2 @t204)) % 0.51/1.00 (define @t206 () (tptp.being_limit_ordinal @t1)) % 0.51/1.00 (define @t207 () (tptp.open_subset @t2 @t1)) % 0.51/1.00 (define @t208 () (tptp.subset_complement @t1 @t2)) % 0.51/1.00 (define @t209 () (tptp.ordered_pair @t1 @t2)) % 0.51/1.00 (define @t210 () (tptp.is_connected_in @t1 @t2)) % 0.51/1.00 (define @t211 () (tptp.is_transitive_in @t1 @t2)) % 0.51/1.00 (define @t212 () (tptp.subset_difference @t57 @t182 @t2)) % 0.51/1.00 (define @t213 () (tptp.closed_subset @t2 @t1)) % 0.51/1.00 (define @t214 () (tptp.cartesian_product2 @t2 @t2)) % 0.51/1.00 (define @t215 () (tptp.relation_restriction @t1 @t2)) % 0.51/1.00 (define @t216 () (tptp.relation_inverse @t1)) % 0.51/1.00 (define @t217 () (tptp.apply @t41 @t88)) % 0.51/1.00 (define @t218 () (tptp.apply @t41 @t76)) % 0.51/1.00 (define @t219 () (tptp.relation_isomorphism @t1 @t2 @t41)) % 0.51/1.00 (define @t220 () (and @t42 @t200)) % 0.51/1.00 (define @t221 () (tptp.disjoint @t1 @t2)) % 0.51/1.00 (define @t222 () (tptp.meet_absorbing @t1)) % 0.51/1.00 (define @t223 () (tptp.latt_str @t1)) % 0.51/1.00 (define @t224 () (tptp.is_a_cover_of_carrier @t1 @t2)) % 0.51/1.00 (define @t225 () (@list @t174)) % 0.51/1.00 (define @t226 () (tptp.relation_composition @t1 @t2)) % 0.51/1.00 (define @t227 () (@list @t41 @t76 @t88)) % 0.51/1.00 (define @t228 () (tptp.complements_of_subsets @t1 @t2)) % 0.51/1.00 (define @t229 () (tptp.powerset @t24)) % 0.51/1.00 (define @t230 () (tptp.element @t2 @t229)) % 0.51/1.00 (define @t231 () (not @t87)) % 0.51/1.00 (define @t232 () (tptp.function_inverse @t1)) % 0.51/1.00 (define @t233 () (and @t117 @t116)) % 0.51/1.00 (define @t234 () (tptp.apply_binary_as_element @t1 @t2 @t41 @t76 @t88 @t174)) % 0.51/1.00 (define @t235 () (tptp.function @t76)) % 0.51/1.00 (define @t236 () (not @t170)) % 0.51/1.00 (define @t237 () (and @t171 @t236 @t235 (tptp.quasi_total @t76 @t43 @t41) (tptp.relation_of2 @t76 @t43 @t41) (tptp.element @t88 @t1) (tptp.element @t174 @t2))) % 0.51/1.00 (define @t238 () (@list @t1 @t2 @t41 @t76 @t88 @t174)) % 0.51/1.00 (define @t239 () (tptp.relation @t216)) % 0.51/1.00 (define @t240 () (tptp.relation @t226)) % 0.51/1.00 (define @t241 () (and @t40 @t84)) % 0.51/1.00 (define @t242 () (tptp.powerset @t2)) % 0.51/1.00 (define @t243 () (tptp.relation_rng_as_subset @t1 @t2 @t41)) % 0.51/1.00 (define @t244 () (tptp.union_of_subsets @t1 @t2)) % 0.51/1.00 (define @t245 () (tptp.relation @t82)) % 0.51/1.00 (define @t246 () (tptp.meet_of_subsets @t1 @t2)) % 0.51/1.00 (define @t247 () (tptp.subset_difference @t1 @t2 @t41)) % 0.51/1.00 (define @t248 () (tptp.relation @t94)) % 0.51/1.00 (define @t249 () (tptp.relation @t105)) % 0.51/1.00 (define @t250 () (tptp.cartesian_product2 @t57 @t57)) % 0.51/1.00 (define @t251 () (tptp.finite @t66)) % 0.51/1.00 (define @t252 () (tptp.relation_composition @t2 @t1)) % 0.51/1.00 (define @t253 () (and @t22 @t84)) % 0.51/1.00 (define @t254 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.51/1.00 (define @t255 () (tptp.relation tptp.empty_set)) % 0.51/1.00 (define @t256 () (tptp.empty tptp.empty_set)) % 0.51/1.00 (define @t257 () (tptp.relation_empty_yielding @t1)) % 0.51/1.00 (define @t258 () (and @t40 @t257)) % 0.51/1.00 (define @t259 () (not (tptp.empty @t142))) % 0.51/1.00 (define @t260 () (not (tptp.empty @t24))) % 0.51/1.00 (define @t261 () (not (tptp.empty @t143))) % 0.51/1.00 (define @t262 () (and @t63 @t158)) % 0.51/1.00 (define @t263 () (tptp.v1_membered @t66)) % 0.51/1.00 (define @t264 () (tptp.v1_membered @t65)) % 0.51/1.00 (define @t265 () (tptp.v2_membered @t66)) % 0.51/1.00 (define @t266 () (tptp.ordinal @t143)) % 0.51/1.00 (define @t267 () (tptp.epsilon_connected @t143)) % 0.51/1.00 (define @t268 () (tptp.epsilon_transitive @t143)) % 0.51/1.00 (define @t269 () (and @t149 @t117 @t116)) % 0.51/1.00 (define @t270 () (tptp.v2_membered @t65)) % 0.51/1.00 (define @t271 () (tptp.v3_membered @t66)) % 0.51/1.00 (define @t272 () (tptp.v3_membered @t65)) % 0.51/1.00 (define @t273 () (tptp.v4_membered @t66)) % 0.51/1.00 (define @t274 () (tptp.v4_membered @t65)) % 0.51/1.00 (define @t275 () (tptp.v1_membered @t202)) % 0.51/1.00 (define @t276 () (tptp.v2_membered @t202)) % 0.51/1.00 (define @t277 () (tptp.v3_membered @t202)) % 0.51/1.00 (define @t278 () (tptp.open_subset @t159 @t1)) % 0.51/1.00 (define @t279 () (tptp.v4_membered @t202)) % 0.51/1.00 (define @t280 () (tptp.closed_subset @t159 @t1)) % 0.51/1.00 (define @t281 () (and @t84 @t125)) % 0.51/1.00 (define @t282 () (and @t149 @t117)) % 0.51/1.00 (define @t283 () (tptp.empty @t97)) % 0.51/1.00 (define @t284 () (and @t171 @t40)) % 0.51/1.00 (define @t285 () (tptp.empty @t204)) % 0.51/1.00 (define @t286 () (tptp.open_subset @t160 @t1)) % 0.51/1.00 (define @t287 () (tptp.in @t2 @t107)) % 0.51/1.00 (define @t288 () (tptp.disjoint @t142 @t2)) % 0.51/1.00 (define @t289 () (not @t5)) % 0.51/1.00 (define @t290 () (tptp.well_ordering @t2)) % 0.51/1.00 (define @t291 () (tptp.in (tptp.ordered_pair @t41 @t2) @t1)) % 0.51/1.00 (define @t292 () (tptp.singleton @t41)) % 0.51/1.00 (define @t293 () (not @t128)) % 0.51/1.00 (define @t294 () (tptp.singleton @t2)) % 0.51/1.00 (define @t295 () (tptp.union @t2)) % 0.51/1.00 (define @t296 () (tptp.in @t1 @t41)) % 0.51/1.00 (define @t297 () (tptp.element @t1 @t242)) % 0.51/1.00 (define @t298 () (tptp.relation_dom_restriction @t41 @t1)) % 0.51/1.00 (define @t299 () (tptp.in @t2 (tptp.relation_dom @t298))) % 0.51/1.00 (define @t300 () (tptp.one_to_one @t2)) % 0.51/1.00 (define @t301 () (tptp.set_intersection2 @t2 @t41)) % 0.51/1.00 (define @t302 () (tptp.set_difference @t2 @t41)) % 0.51/1.00 (define @t303 () (@var "K" $$unsorted)) % 0.51/1.00 (define @t304 () (@var "J" $$unsorted)) % 0.51/1.00 (define @t305 () (tptp.in @t303 @t304)) % 0.51/1.00 (define @t306 () (@list @t303)) % 0.51/1.00 (define @t307 () (@list @t304)) % 0.51/1.00 (define @t308 () (= @t76 @t88)) % 0.51/1.00 (define @t309 () (@var "I" $$unsorted)) % 0.51/1.00 (define @t310 () (@var "H" $$unsorted)) % 0.51/1.00 (define @t311 () (tptp.in @t309 @t310)) % 0.51/1.00 (define @t312 () (@list @t309)) % 0.51/1.00 (define @t313 () (@list @t310)) % 0.51/1.00 (define @t314 () (exists @t313 (and (= @t41 @t310) (tptp.in @t88 @t310) (forall @t312 (=> @t311 (tptp.in (tptp.ordered_pair @t88 @t309) @t2)))))) % 0.51/1.00 (define @t315 () (@var "G" $$unsorted)) % 0.51/1.00 (define @t316 () (tptp.in @t315 @t174)) % 0.51/1.00 (define @t317 () (@list @t315)) % 0.51/1.00 (define @t318 () (exists @t225 (and (= @t41 @t174) (tptp.in @t76 @t174) (forall @t317 (=> @t316 (tptp.in (tptp.ordered_pair @t76 @t315) @t2)))))) % 0.51/1.00 (define @t319 () (forall @t227 (=> (and @t78 @t318 @t78 @t314) @t308))) % 0.51/1.00 (define @t320 () (and @t171 @t84)) % 0.51/1.00 (define @t321 () (= @t76 @t294)) % 0.51/1.00 (define @t322 () (= @t41 @t294)) % 0.51/1.00 (define @t323 () (forall @t129 (=> (and @t3 @t322 @t3 @t321) @t77))) % 0.51/1.00 (define @t324 () (tptp.subset_complement @t57 @t310)) % 0.51/1.00 (define @t325 () (= @t310 @t76)) % 0.51/1.00 (define @t326 () (tptp.element @t310 @t112)) % 0.51/1.00 (define @t327 () (tptp.complements_of_subsets @t57 @t2)) % 0.51/1.00 (define @t328 () (tptp.in @t76 @t327)) % 0.51/1.00 (define @t329 () (tptp.subset_complement @t57 @t315)) % 0.51/1.00 (define @t330 () (tptp.element @t315 @t112)) % 0.51/1.00 (define @t331 () (forall @t317 (=> @t330 (=> (= @t315 @t41) (= @t88 @t329))))) % 0.51/1.00 (define @t332 () (tptp.in @t41 @t327)) % 0.51/1.00 (define @t333 () (tptp.subset_complement @t57 @t174)) % 0.51/1.00 (define @t334 () (tptp.element @t174 @t112)) % 0.51/1.00 (define @t335 () (forall @t225 (=> @t334 (=> (= @t174 @t41) (= @t76 @t333))))) % 0.51/1.00 (define @t336 () (forall @t227 (=> (and @t332 @t335 @t332 @t331) @t308))) % 0.51/1.00 (define @t337 () (and @t158 @t148)) % 0.51/1.00 (define @t338 () (tptp.ordinal @t41)) % 0.51/1.00 (define @t339 () (@var "S" $$unsorted)) % 0.51/1.00 (define @t340 () (@var "T" $$unsorted)) % 0.51/1.00 (define @t341 () (@var "R" $$unsorted)) % 0.51/1.00 (define @t342 () (tptp.powerset (tptp.powerset @t76))) % 0.51/1.00 (define @t343 () (@list @t341)) % 0.51/1.00 (define @t344 () (tptp.in @t76 tptp.omega)) % 0.51/1.00 (define @t345 () (tptp.ordinal @t76)) % 0.51/1.00 (define @t346 () (@var "P" $$unsorted)) % 0.51/1.00 (define @t347 () (@var "Q" $$unsorted)) % 0.51/1.00 (define @t348 () (@var "O" $$unsorted)) % 0.51/1.00 (define @t349 () (@list @t347)) % 0.51/1.00 (define @t350 () (@list @t346)) % 0.51/1.00 (define @t351 () (@list @t348)) % 0.51/1.00 (define @t352 () (@var "M" $$unsorted)) % 0.51/1.00 (define @t353 () (@var "N" $$unsorted)) % 0.51/1.00 (define @t354 () (@var "L" $$unsorted)) % 0.51/1.00 (define @t355 () (@list @t353)) % 0.51/1.00 (define @t356 () (tptp.in @t352 @t354)) % 0.51/1.00 (define @t357 () (@list @t352)) % 0.51/1.00 (define @t358 () (@list @t354)) % 0.51/1.00 (define @t359 () (tptp.succ @t76)) % 0.51/1.00 (define @t360 () (=> @t344 (forall @t98 (=> (tptp.element @t88 @t342) (not (and (not (= @t88 tptp.empty_set)) (forall @t225 (not (and (tptp.in @t174 @t88) (forall @t317 (=> (and (tptp.in @t315 @t88) (tptp.subset @t174 @t315)) (= @t315 @t174)))))))))))) % 0.51/1.00 (define @t361 () (tptp.subset @t2 @t41)) % 0.51/1.00 (define @t362 () (tptp.powerset tptp.empty_set)) % 0.51/1.00 (define @t363 () (tptp.apply @t41 @t174)) % 0.51/1.00 (define @t364 () (tptp.in @t174 @t1)) % 0.51/1.00 (define @t365 () (tptp.relation @t76)) % 0.51/1.00 (define @t366 () (and @t84 @t42 @t200)) % 0.51/1.00 (define @t367 () (forall @t306 (=> @t305 (tptp.in (tptp.ordered_pair @t76 @t303) @t2)))) % 0.51/1.00 (define @t368 () (tptp.in @t76 @t304)) % 0.51/1.00 (define @t369 () (= @t174 @t88)) % 0.51/1.00 (define @t370 () (tptp.cartesian_product2 @t1 @t41)) % 0.51/1.00 (define @t371 () (= @t88 @t174)) % 0.51/1.00 (define @t372 () (tptp.ordered_pair @t303 @t354)) % 0.51/1.00 (define @t373 () (@list @t303 @t354)) % 0.51/1.00 (define @t374 () (= @t76 @t174)) % 0.51/1.00 (define @t375 () (tptp.in @t304 @t309)) % 0.51/1.00 (define @t376 () (= @t315 @t309)) % 0.51/1.00 (define @t377 () (tptp.in @t315 @t1)) % 0.51/1.00 (define @t378 () (tptp.ordered_pair @t315 @t310)) % 0.51/1.00 (define @t379 () (= @t378 @t88)) % 0.51/1.00 (define @t380 () (@list @t315 @t310)) % 0.51/1.00 (define @t381 () (@list @t76 @t88 @t174)) % 0.51/1.00 (define @t382 () (tptp.ordered_pair @t304 @t303)) % 0.51/1.00 (define @t383 () (@list @t304 @t303)) % 0.51/1.00 (define @t384 () (= @t88 @t76)) % 0.51/1.00 (define @t385 () (tptp.in @t310 @t1)) % 0.51/1.00 (define @t386 () (= @t41 @t88)) % 0.51/1.00 (define @t387 () (tptp.ordered_pair @t174 @t315)) % 0.51/1.00 (define @t388 () (@list @t174 @t315)) % 0.51/1.00 (define @t389 () (= @t76 @t41)) % 0.51/1.00 (define @t390 () (not (and (not (= @t174 tptp.empty_set)) (forall @t317 (not (and @t316 (forall @t313 (=> (and (tptp.in @t310 @t174) (tptp.subset @t315 @t310)) (= @t310 @t315))))))))) % 0.51/1.00 (define @t391 () (tptp.ordinal @t88)) % 0.51/1.00 (define @t392 () (tptp.subset @t2 @t76)) % 0.51/1.00 (define @t393 () (tptp.in @t88 @t112)) % 0.51/1.00 (define @t394 () (tptp.in (tptp.set_difference @t182 @t76) @t2)) % 0.51/1.00 (define @t395 () (and @t149 @t117 @t148)) % 0.51/1.00 (define @t396 () (tptp.in @t315 @t2)) % 0.51/1.00 (define @t397 () (and @t32 (tptp.element @t2 (tptp.powerset (tptp.powerset @t143))))) % 0.51/1.00 (define @t398 () (= @t76 @t324)) % 0.51/1.00 (define @t399 () (tptp.in @t88 @t327)) % 0.51/1.00 (define @t400 () (= @t353 (tptp.subset_complement @t57 @t348))) % 0.51/1.00 (define @t401 () (= @t348 @t352)) % 0.51/1.00 (define @t402 () (=> @t401 @t400)) % 0.51/1.00 (define @t403 () (tptp.element @t348 @t112)) % 0.51/1.00 (define @t404 () (=> @t403 @t402)) % 0.51/1.00 (define @t405 () (forall @t351 @t404)) % 0.51/1.00 (define @t406 () (tptp.ordered_pair @t352 @t353)) % 0.51/1.00 (define @t407 () (= @t406 @t88)) % 0.51/1.00 (define @t408 () (@list @t352 @t353)) % 0.51/1.00 (define @t409 () (tptp.cartesian_product2 @t327 @t41)) % 0.51/1.00 (define @t410 () (= @t303 (tptp.subset_complement @t57 @t354))) % 0.51/1.00 (define @t411 () (= @t354 @t304)) % 0.51/1.00 (define @t412 () (=> @t411 @t410)) % 0.51/1.00 (define @t413 () (tptp.element @t354 @t112)) % 0.51/1.00 (define @t414 () (=> @t413 @t412)) % 0.51/1.00 (define @t415 () (forall @t358 @t414)) % 0.51/1.00 (define @t416 () (= @t382 @t174)) % 0.51/1.00 (define @t417 () (tptp.subset_complement @t57 @t309)) % 0.51/1.00 (define @t418 () (= @t310 @t417)) % 0.51/1.00 (define @t419 () (= @t309 @t315)) % 0.51/1.00 (define @t420 () (=> @t419 @t418)) % 0.51/1.00 (define @t421 () (tptp.element @t309 @t112)) % 0.51/1.00 (define @t422 () (=> @t421 @t420)) % 0.51/1.00 (define @t423 () (forall @t312 @t422)) % 0.51/1.00 (define @t424 () (tptp.in @t352 @t2)) % 0.51/1.00 (define @t425 () (and @t407 @t424 @t405)) % 0.51/1.00 (define @t426 () (exists @t408 @t425)) % 0.51/1.00 (define @t427 () (tptp.cartesian_product2 @t2 @t41)) % 0.51/1.00 (define @t428 () (tptp.in @t174 @t427)) % 0.51/1.00 (define @t429 () (and @t428 @t369 @t426)) % 0.51/1.00 (define @t430 () (exists @t225 @t429)) % 0.51/1.00 (define @t431 () (= @t121 @t430)) % 0.51/1.00 (define @t432 () (forall @t98 @t431)) % 0.51/1.00 (define @t433 () (exists @t100 @t432)) % 0.51/1.00 (define @t434 () (tptp.in @t304 @t2)) % 0.51/1.00 (define @t435 () (and @t416 @t434 @t415)) % 0.51/1.00 (define @t436 () (exists @t383 @t435)) % 0.51/1.00 (define @t437 () (and @t379 @t396 @t423)) % 0.51/1.00 (define @t438 () (exists @t380 @t437)) % 0.51/1.00 (define @t439 () (and @t308 @t438 @t374 @t436)) % 0.51/1.00 (define @t440 () (=> @t439 @t371)) % 0.51/1.00 (define @t441 () (forall @t381 @t440)) % 0.51/1.00 (define @t442 () (=> @t441 @t433)) % 0.51/1.00 (define @t443 () (forall @t106 @t442)) % 0.51/1.00 (define @t444 () (=> @t337 @t443)) % 0.51/1.00 (define @t445 () (forall @t6 @t444)) % 0.51/1.00 (define @t446 () (tptp.cartesian_product2 @t1 @t1)) % 0.51/1.00 (define @t447 () (tptp.apply @t41 @t315)) % 0.51/1.00 (define @t448 () (= @t88 @t378)) % 0.51/1.00 (define @t449 () (tptp.in (tptp.relation_image @t41 @t88) @t2)) % 0.51/1.00 (define @t450 () (tptp.powerset @t197)) % 0.51/1.00 (define @t451 () (and @t230 @t42 @t200)) % 0.51/1.00 (define @t452 () (tptp.succ @t2)) % 0.51/1.00 (define @t453 () (= @t174 @t310)) % 0.51/1.00 (define @t454 () (= @t387 @t88)) % 0.51/1.00 (define @t455 () (exists @t98 (and @t113 @t384 (tptp.closed_subset @t88 @t1) @t392))) % 0.51/1.00 (define @t456 () (tptp.in @t76 @t112)) % 0.51/1.00 (define @t457 () (= @t315 @t324)) % 0.51/1.00 (define @t458 () (= @t310 @t174)) % 0.51/1.00 (define @t459 () (=> @t458 @t457)) % 0.51/1.00 (define @t460 () (=> @t326 @t459)) % 0.51/1.00 (define @t461 () (forall @t313 @t460)) % 0.51/1.00 (define @t462 () (and @t454 @t176 @t461)) % 0.51/1.00 (define @t463 () (exists @t388 @t462)) % 0.51/1.00 (define @t464 () (tptp.in @t88 @t427)) % 0.51/1.00 (define @t465 () (and @t464 @t463)) % 0.51/1.00 (define @t466 () (= @t121 @t465)) % 0.51/1.00 (define @t467 () (forall @t98 @t466)) % 0.51/1.00 (define @t468 () (exists @t100 @t467)) % 0.51/1.00 (define @t469 () (forall @t106 @t468)) % 0.51/1.00 (define @t470 () (=> @t337 @t469)) % 0.51/1.00 (define @t471 () (forall @t6 @t470)) % 0.51/1.00 (define @t472 () (not @t471)) % 0.51/1.00 (define @t473 () (= @t88 @t387)) % 0.51/1.00 (define @t474 () (tptp.apply @t2 @t41)) % 0.51/1.00 (define @t475 () (= @t123 @t1)) % 0.51/1.00 (define @t476 () (exists @t11 (and @t84 @t125 @t475 (forall @t106 (=> @t78 (= @t474 @t292)))))) % 0.51/1.00 (define @t477 () (tptp.in @t1 tptp.omega)) % 0.51/1.00 (define @t478 () (tptp.element @t76 @t112)) % 0.51/1.00 (define @t479 () (tptp.element @t41 @t147)) % 0.51/1.00 (define @t480 () (= @t228 tptp.empty_set)) % 0.51/1.00 (define @t481 () (not (and @t172 @t480))) % 0.51/1.00 (define @t482 () (= @t1 @t41)) % 0.51/1.00 (define @t483 () (tptp.relation_rng @t105)) % 0.51/1.00 (define @t484 () (tptp.meet_of_subsets @t1 @t228)) % 0.51/1.00 (define @t485 () (tptp.union_of_subsets @t1 @t228)) % 0.51/1.00 (define @t486 () (forall @t106 (not (and @t185 (not (tptp.are_equipotent @t41 @t2)) @t179)))) % 0.51/1.00 (define @t487 () (tptp.powerset @t41)) % 0.51/1.00 (define @t488 () (forall @t81 (=> (and @t150 (tptp.subset @t76 @t41)) @t91))) % 0.51/1.00 (define @t489 () (tptp.relation_dom_restriction @t41 @t2)) % 0.51/1.00 (define @t490 () (tptp.relation_image @t2 @t1)) % 0.51/1.00 (define @t491 () (tptp.relation_inverse_image @t2 @t1)) % 0.51/1.00 (define @t492 () (tptp.relation_image @t2 @t491)) % 0.51/1.00 (define @t493 () (tptp.set_intersection2 @t123 @t1)) % 0.51/1.00 (define @t494 () (tptp.subset @t1 @t124)) % 0.51/1.00 (define @t495 () (tptp.relation_of2_as_subset @t76 @t41 @t2)) % 0.51/1.00 (define @t496 () (tptp.relation_rng @t76)) % 0.51/1.00 (define @t497 () (tptp.relation_of2_as_subset @t76 @t41 @t1)) % 0.51/1.00 (define @t498 () (tptp.relation_rng @t226)) % 0.51/1.00 (define @t499 () (tptp.relation_inverse_image @t41 @t2)) % 0.51/1.00 (define @t500 () (tptp.relation_restriction @t41 @t2)) % 0.51/1.00 (define @t501 () (tptp.relation_restriction @t2 @t1)) % 0.51/1.00 (define @t502 () (tptp.relation_dom_restriction @t2 @t1)) % 0.51/1.00 (define @t503 () (tptp.relation_field @t41)) % 0.51/1.00 (define @t504 () (tptp.in @t1 @t503)) % 0.51/1.00 (define @t505 () (tptp.subset @t1 @t41)) % 0.51/1.00 (define @t506 () (tptp.element @t1 @t2)) % 0.51/1.00 (define @t507 () (tptp.in @t1 @t197)) % 0.51/1.00 (define @t508 () (tptp.in @t209 @t41)) % 0.51/1.00 (define @t509 () (tptp.relation_field @t501)) % 0.51/1.00 (define @t510 () (tptp.apply @t41 @t1)) % 0.51/1.00 (define @t511 () (tptp.relation_composition @t41 @t2)) % 0.51/1.00 (define @t512 () (tptp.in @t1 (tptp.relation_dom @t511))) % 0.51/1.00 (define @t513 () (tptp.apply @t76 @t41)) % 0.51/1.00 (define @t514 () (and @t235 (tptp.quasi_total @t76 @t1 @t2) (tptp.relation_of2_as_subset @t76 @t1 @t2))) % 0.51/1.00 (define @t515 () (tptp.reflexive @t2)) % 0.51/1.00 (define @t516 () (tptp.connected @t2)) % 0.51/1.00 (define @t517 () (tptp.transitive @t2)) % 0.51/1.00 (define @t518 () (tptp.antisymmetric @t2)) % 0.51/1.00 (define @t519 () (tptp.well_ordering @t501)) % 0.51/1.00 (define @t520 () (= @t509 @t1)) % 0.51/1.00 (define @t521 () (tptp.well_orders @t2 @t1)) % 0.51/1.00 (define @t522 () (tptp.well_founded_relation @t2)) % 0.51/1.00 (define @t523 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.51/1.00 (define @t524 () (and @t78 @t150)) % 0.51/1.00 (define @t525 () (not @t221)) % 0.51/1.00 (define @t526 () (= @t1 @t452)) % 0.51/1.00 (define @t527 () (tptp.subset_complement @t1 @t41)) % 0.51/1.00 (define @t528 () (tptp.disjoint @t2 @t41)) % 0.51/1.00 (define @t529 () (tptp.relation_dom @t226)) % 0.51/1.00 (define @t530 () (and (tptp.closed_subset @t76 @t1) @t392)) % 0.51/1.00 (define @t531 () (tptp.element @t2 @t487)) % 0.51/1.00 (define @t532 () (tptp.in @t41 @t66)) % 0.51/1.00 (define @t533 () (= @t114 @t2)) % 0.51/1.00 (define @t534 () (and (tptp.in @t41 @t204) (= @t76 @t474))) % 0.51/1.00 (define @t535 () (tptp.function_inverse @t2)) % 0.51/1.00 (define @t536 () (= @t204 tptp.empty_set)) % 0.51/1.00 (define @t537 () (= @t97 tptp.empty_set)) % 0.51/1.00 (define @t538 () (= (tptp.apply @t298 @t2) (tptp.apply @t41 @t2))) % 0.51/1.00 (define @t539 () (= @t142 (tptp.unordered_pair @t2 @t41))) % 0.51/1.00 (define @t540 () (@var "BOUND_VARIABLE_15647" $$unsorted)) % 0.51/1.00 (define @t541 () (= @t353 (tptp.subset_complement @t57 @t352))) % 0.51/1.00 (define @t542 () (not @t541)) % 0.51/1.00 (define @t543 () (tptp.element @t352 @t112)) % 0.51/1.00 (define @t544 () (not @t424)) % 0.51/1.00 (define @t545 () (= @t88 @t406)) % 0.51/1.00 (define @t546 () (not @t545)) % 0.51/1.00 (define @t547 () (forall @t408 (or @t546 @t544 (and @t543 @t542)))) % 0.51/1.00 (define @t548 () (not @t547)) % 0.51/1.00 (define @t549 () (not (forall @t100 (not (forall @t98 (= @t121 (and @t548 (tptp.in @t88 (tptp.cartesian_product2 @t2 @t540))))))))) % 0.51/1.00 (define @t550 () (not @t148)) % 0.51/1.00 (define @t551 () (not @t158)) % 0.51/1.00 (define @t552 () (or @t551 @t550 @t549)) % 0.51/1.00 (define @t553 () (forall (@list @t1 @t2 @t540) @t552)) % 0.51/1.00 (define @t554 () (@list @t540)) % 0.51/1.00 (define @t555 () (forall @t554 @t552)) % 0.51/1.00 (define @t556 () (forall @t554 @t549)) % 0.51/1.00 (define @t557 () (@list @t41)) % 0.51/1.00 (define @t558 () (or @t551 @t550 @t556)) % 0.51/1.00 (define @t559 () (forall @t98 (= @t121 (and @t548 @t464)))) % 0.51/1.00 (define @t560 () (not (forall @t100 (not @t559)))) % 0.51/1.00 (define @t561 () (forall @t106 @t560)) % 0.51/1.00 (define @t562 () (or @t551 @t550 @t561)) % 0.51/1.00 (define @t563 () (or @t551 @t550)) % 0.51/1.00 (define @t564 () (not @t337)) % 0.51/1.00 (define @t565 () (not @t464)) % 0.51/1.00 (define @t566 () (= @t121 (not (or @t547 @t565)))) % 0.51/1.00 (define @t567 () (not (= @t88 @t88))) % 0.51/1.00 (define @t568 () (or @t565 @t567)) % 0.51/1.00 (define @t569 () (not @t371)) % 0.51/1.00 (define @t570 () (not @t428)) % 0.51/1.00 (define @t571 () (or @t569 @t570 @t569)) % 0.51/1.00 (define @t572 () (or @t570 @t569)) % 0.51/1.00 (define @t573 () (forall @t225 @t572)) % 0.51/1.00 (define @t574 () (or @t547 @t573)) % 0.51/1.00 (define @t575 () (or @t547 @t572)) % 0.51/1.00 (define @t576 () (or @t570 @t569 @t547)) % 0.51/1.00 (define @t577 () (not @t548)) % 0.51/1.00 (define @t578 () (or @t570 @t569 @t577)) % 0.51/1.00 (define @t579 () (and @t428 @t371 @t548)) % 0.51/1.00 (define @t580 () (forall @t225 (not @t579))) % 0.51/1.00 (define @t581 () (not @t580)) % 0.51/1.00 (define @t582 () (not @t543)) % 0.51/1.00 (define @t583 () (or @t582 @t541)) % 0.51/1.00 (define @t584 () (not @t583)) % 0.51/1.00 (define @t585 () (or @t546 @t544 @t584)) % 0.51/1.00 (define @t586 () (and @t545 @t424 @t583)) % 0.51/1.00 (define @t587 () (forall @t408 (not @t586))) % 0.51/1.00 (define @t588 () (not @t587)) % 0.51/1.00 (define @t589 () (not (= @t352 @t352))) % 0.51/1.00 (define @t590 () (or @t582 @t589 @t541)) % 0.51/1.00 (define @t591 () (= @t352 @t348)) % 0.51/1.00 (define @t592 () (not @t591)) % 0.51/1.00 (define @t593 () (not @t403)) % 0.51/1.00 (define @t594 () (or @t592 @t593 @t592 @t400)) % 0.51/1.00 (define @t595 () (or @t593 @t592 @t400)) % 0.51/1.00 (define @t596 () (=> @t591 @t400)) % 0.51/1.00 (define @t597 () (@var "BOUND_VARIABLE_15582" $$unsorted)) % 0.51/1.00 (define @t598 () (@var "BOUND_VARIABLE_15580" $$unsorted)) % 0.51/1.00 (define @t599 () (@var "BOUND_VARIABLE_15567" $$unsorted)) % 0.51/1.00 (define @t600 () (@var "BOUND_VARIABLE_15565" $$unsorted)) % 0.51/1.00 (define @t601 () (@list @t88 @t174 @t600 @t599 @t598 @t597)) % 0.51/1.00 (define @t602 () (and (tptp.element @t598 @t112) (not (= @t597 (tptp.subset_complement @t57 @t598))))) % 0.51/1.00 (define @t603 () (not (tptp.in @t598 @t2))) % 0.51/1.00 (define @t604 () (not (= @t174 (tptp.ordered_pair @t598 @t597)))) % 0.51/1.00 (define @t605 () (and (tptp.element @t600 @t112) (not (= @t599 (tptp.subset_complement @t57 @t600))))) % 0.51/1.00 (define @t606 () (not (tptp.in @t600 @t2))) % 0.51/1.00 (define @t607 () (not (= @t88 (tptp.ordered_pair @t600 @t599)))) % 0.51/1.00 (define @t608 () (or @t569 @t371 @t607 @t606 @t605 @t604 @t603 @t602)) % 0.51/1.00 (define @t609 () (or @t567 @t569 @t371 @t607 @t606 @t605 @t604 @t603 @t602)) % 0.51/1.00 (define @t610 () (not @t374)) % 0.51/1.00 (define @t611 () (not @t308)) % 0.51/1.00 (define @t612 () (or @t611 @t611 @t610 @t371 @t607 @t606 @t605 @t604 @t603 @t602)) % 0.51/1.00 (define @t613 () (or @t611 @t610 @t371 @t607 @t606 @t605 @t604 @t603 @t602)) % 0.51/1.00 (define @t614 () (forall @t100 @t613)) % 0.51/1.00 (define @t615 () (forall @t601 @t614)) % 0.51/1.00 (define @t616 () (forall (@list @t88 @t174 @t600 @t599 @t598 @t597 @t76) @t613)) % 0.51/1.00 (define @t617 () (@list @t76 @t88 @t174 @t600 @t599 @t598 @t597)) % 0.51/1.00 (define @t618 () (or @t604 @t603 @t602)) % 0.51/1.00 (define @t619 () (or @t607 @t606 @t605)) % 0.51/1.00 (define @t620 () (or @t611 @t619 @t610 @t618 @t371)) % 0.51/1.00 (define @t621 () (forall @t617 @t620)) % 0.51/1.00 (define @t622 () (forall (@list @t600 @t599 @t598 @t597) @t620)) % 0.51/1.00 (define @t623 () (forall (@list @t598 @t597) @t618)) % 0.51/1.00 (define @t624 () (forall (@list @t600 @t599) @t619)) % 0.51/1.00 (define @t625 () (or @t611 @t624 @t610 @t623 @t371)) % 0.51/1.00 (define @t626 () (= @t303 (tptp.subset_complement @t57 @t304))) % 0.51/1.00 (define @t627 () (not @t626)) % 0.51/1.00 (define @t628 () (tptp.element @t304 @t112)) % 0.51/1.00 (define @t629 () (not @t434)) % 0.51/1.00 (define @t630 () (= @t174 @t382)) % 0.51/1.00 (define @t631 () (not @t630)) % 0.51/1.00 (define @t632 () (forall @t383 (or @t631 @t629 (and @t628 @t627)))) % 0.51/1.00 (define @t633 () (= @t310 @t329)) % 0.51/1.00 (define @t634 () (not @t633)) % 0.51/1.00 (define @t635 () (not @t396)) % 0.51/1.00 (define @t636 () (not @t448)) % 0.51/1.00 (define @t637 () (forall @t380 (or @t636 @t635 (and @t330 @t634)))) % 0.51/1.00 (define @t638 () (or @t611 @t637 @t610 @t632 @t371)) % 0.51/1.00 (define @t639 () (not @t632)) % 0.51/1.00 (define @t640 () (not @t639)) % 0.51/1.00 (define @t641 () (not @t637)) % 0.51/1.00 (define @t642 () (not @t641)) % 0.51/1.00 (define @t643 () (or @t611 @t642 @t610 @t640)) % 0.51/1.00 (define @t644 () (and @t308 @t641 @t374 @t639)) % 0.51/1.00 (define @t645 () (not @t628)) % 0.51/1.00 (define @t646 () (or @t645 @t626)) % 0.51/1.00 (define @t647 () (not @t646)) % 0.51/1.00 (define @t648 () (or @t631 @t629 @t647)) % 0.51/1.00 (define @t649 () (and @t630 @t434 @t646)) % 0.51/1.00 (define @t650 () (forall @t383 (not @t649))) % 0.51/1.00 (define @t651 () (not @t650)) % 0.51/1.00 (define @t652 () (not (= @t304 @t304))) % 0.51/1.00 (define @t653 () (or @t645 @t652 @t626)) % 0.51/1.00 (define @t654 () (= @t304 @t354)) % 0.51/1.00 (define @t655 () (not @t654)) % 0.51/1.00 (define @t656 () (not @t413)) % 0.51/1.00 (define @t657 () (or @t655 @t656 @t655 @t410)) % 0.51/1.00 (define @t658 () (or @t656 @t655 @t410)) % 0.51/1.00 (define @t659 () (=> @t654 @t410)) % 0.51/1.00 (define @t660 () (not @t330)) % 0.51/1.00 (define @t661 () (or @t660 @t633)) % 0.51/1.00 (define @t662 () (not @t661)) % 0.51/1.00 (define @t663 () (or @t636 @t635 @t662)) % 0.51/1.00 (define @t664 () (and @t448 @t396 @t661)) % 0.51/1.00 (define @t665 () (forall @t380 (not @t664))) % 0.51/1.00 (define @t666 () (not @t665)) % 0.51/1.00 (define @t667 () (not (= @t315 @t315))) % 0.51/1.00 (define @t668 () (or @t660 @t667 @t633)) % 0.51/1.00 (define @t669 () (not @t376)) % 0.51/1.00 (define @t670 () (not @t421)) % 0.51/1.00 (define @t671 () (or @t669 @t670 @t669 @t418)) % 0.51/1.00 (define @t672 () (or @t670 @t669 @t418)) % 0.51/1.00 (define @t673 () (=> @t376 @t418)) % 0.51/1.00 (define @t674 () (@var "BOUND_VARIABLE_16151" $$unsorted)) % 0.51/1.00 (define @t675 () (tptp.in @t88 (tptp.cartesian_product2 @t2 @t674))) % 0.51/1.00 (define @t676 () (= @t315 @t333)) % 0.51/1.00 (define @t677 () (not @t676)) % 0.51/1.00 (define @t678 () (not @t176)) % 0.51/1.00 (define @t679 () (not @t473)) % 0.51/1.00 (define @t680 () (not (forall @t388 (or @t679 @t678 (and @t334 @t677))))) % 0.51/1.00 (define @t681 () (and @t680 @t675)) % 0.51/1.00 (define @t682 () (and @t675 @t680)) % 0.51/1.00 (define @t683 () (= @t121 @t682)) % 0.51/1.00 (define @t684 () (forall @t98 @t683)) % 0.51/1.00 (define @t685 () (not @t684)) % 0.51/1.00 (define @t686 () (forall @t100 @t685)) % 0.51/1.00 (define @t687 () (not @t686)) % 0.51/1.00 (define @t688 () (or @t551 @t550 @t687)) % 0.51/1.00 (define @t689 () (@list @t1 @t2 @t674)) % 0.51/1.00 (define @t690 () (forall @t689 @t688)) % 0.51/1.00 (define @t691 () (forall @t689 (or @t551 @t550 (not (forall @t100 (not (forall @t98 (= @t121 @t681)))))))) % 0.51/1.00 (define @t692 () (@var "BOUND_VARIABLE_22388" $$unsorted)) % 0.51/1.00 (define @t693 () (@var "BOUND_VARIABLE_22382" $$unsorted)) % 0.51/1.00 (define @t694 () (@var "BOUND_VARIABLE_22385" $$unsorted)) % 0.51/1.00 (define @t695 () (@var "BOUND_VARIABLE_22386" $$unsorted)) % 0.51/1.00 (define @t696 () (@var "BOUND_VARIABLE_22383" $$unsorted)) % 0.51/1.00 (define @t697 () (tptp.the_carrier @t696)) % 0.51/1.00 (define @t698 () (@var "BOUND_VARIABLE_22387" $$unsorted)) % 0.51/1.00 (define @t699 () (tptp.powerset @t697)) % 0.51/1.00 (define @t700 () (@var "BOUND_VARIABLE_22384" $$unsorted)) % 0.51/1.00 (define @t701 () (@list @t693 @t696 @t700 @t694 @t695 @t698 @t692)) % 0.51/1.00 (define @t702 () (@list false)) % 0.51/1.00 (define @t703 () (@list @t674)) % 0.51/1.00 (define @t704 () (forall @t703 @t688)) % 0.51/1.00 (define @t705 () (forall @t703 @t687)) % 0.51/1.00 (define @t706 () (or @t551 @t550 @t705)) % 0.51/1.00 (define @t707 () (forall @t98 (= @t121 (and @t464 @t680)))) % 0.51/1.00 (define @t708 () (not (forall @t100 (not @t707)))) % 0.51/1.00 (define @t709 () (forall @t106 @t708)) % 0.51/1.00 (define @t710 () (or @t551 @t550 @t709)) % 0.51/1.00 (define @t711 () (not @t334)) % 0.51/1.00 (define @t712 () (or @t711 @t676)) % 0.51/1.00 (define @t713 () (not @t712)) % 0.51/1.00 (define @t714 () (or @t679 @t678 @t713)) % 0.51/1.00 (define @t715 () (and @t473 @t176 @t712)) % 0.51/1.00 (define @t716 () (forall @t388 (not @t715))) % 0.51/1.00 (define @t717 () (not @t716)) % 0.51/1.00 (define @t718 () (not (= @t174 @t174))) % 0.51/1.00 (define @t719 () (or @t711 @t718 @t676)) % 0.51/1.00 (define @t720 () (not @t453)) % 0.51/1.00 (define @t721 () (not @t326)) % 0.51/1.00 (define @t722 () (or @t720 @t721 @t720 @t457)) % 0.51/1.00 (define @t723 () (or @t721 @t720 @t457)) % 0.51/1.00 (define @t724 () (=> @t453 @t457)) % 0.51/1.00 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.51/1.00 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.51/1.00 (assume @p3 (forall @t13 (=> @t12 (forall @t11 (=> @t10 @t9))))) % 0.51/1.00 (assume @p4 (forall @t13 (=> @t15 (forall @t11 (=> @t10 (and @t9 @t14)))))) % 0.51/1.00 (assume @p5 (forall @t13 (=> @t17 (forall @t11 (=> @t10 (and @t9 @t14 @t16)))))) % 0.51/1.00 (assume @p6 (forall @t13 (=> @t19 (forall @t11 (=> @t10 (and @t9 @t14 @t18 @t16)))))) % 0.51/1.00 (assume @p7 (forall @t13 (=> @t21 (forall @t11 (=> @t10 (and @t9 @t20 @t14 @t18 @t16)))))) % 0.51/1.00 (assume @p8 (forall @t13 (=> @t22 (and @t12 @t15 @t17 @t19 @t21)))) % 0.51/1.00 (assume @p9 (forall @t13 (=> @t12 (forall @t11 (=> @t25 @t23))))) % 0.51/1.00 (assume @p10 (forall @t13 (=> @t15 (forall @t11 (=> @t25 (and @t23 @t26)))))) % 0.51/1.00 (assume @p11 (forall @t13 (=> @t17 (forall @t11 (=> @t25 (and @t23 @t26 @t27)))))) % 0.51/1.00 (assume @p12 (forall @t13 (=> @t19 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28)))))) % 0.51/1.00 (assume @p13 (forall @t13 (=> @t32 (forall @t11 (=> @t10 (and @t31 @t30 @t29)))))) % 0.51/1.00 (assume @p14 (forall @t13 (=> @t22 @t33))) % 0.51/1.00 (assume @p15 (forall @t13 (=> @t35 @t34))) % 0.51/1.00 (assume @p16 (forall @t13 (=> @t22 @t36))) % 0.51/1.00 (assume @p17 (forall @t13 (=> @t21 @t19))) % 0.51/1.00 (assume @p18 (forall @t13 (=> @t32 @t39))) % 0.51/1.00 (assume @p19 (forall @t13 (=> @t22 @t40))) % 0.51/1.00 (assume @p20 (forall @t45 (=> @t44 @t42))) % 0.51/1.00 (assume @p21 (forall @t13 (=> @t21 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28 (tptp.v5_membered @t2))))))) % 0.51/1.00 (assume @p22 (forall @t13 (=> (and @t22 @t32) @t47))) % 0.51/1.00 (assume @p23 (forall @t13 (=> @t33 (forall @t11 (=> @t25 @t48))))) % 0.51/1.00 (assume @p24 (forall @t13 (=> @t34 @t35))) % 0.51/1.00 (assume @p25 (forall @t13 (=> @t51 @t50))) % 0.51/1.00 (assume @p26 (forall @t13 (=> @t19 @t17))) % 0.51/1.00 (assume @p27 (forall @t13 (=> @t39 @t32))) % 0.51/1.00 (assume @p28 (forall @t13 (=> (tptp.element @t1 tptp.omega) @t47))) % 0.51/1.00 (assume @p29 (forall @t13 (=> @t17 @t15))) % 0.51/1.00 (assume @p30 (forall @t13 (=> @t22 @t52))) % 0.51/1.00 (assume @p31 (forall @t13 (=> @t15 @t12))) % 0.51/1.00 (assume @p32 (forall @t6 (= @t53 (tptp.unordered_pair @t2 @t1)))) % 0.51/1.00 (assume @p33 (forall @t6 (= @t55 @t54))) % 0.51/1.00 (assume @p34 (forall @t45 (=> @t64 (= @t56 (tptp.join_commut @t1 @t41 @t2))))) % 0.51/1.00 (assume @p35 (forall @t6 (= @t66 @t65))) % 0.51/1.00 (assume @p36 (forall @t45 (=> @t70 (= @t67 (tptp.meet_commut @t1 @t41 @t2))))) % 0.51/1.00 (assume @p37 (forall @t45 (=> @t73 (= @t71 (tptp.subset_intersection2 @t1 @t41 @t2))))) % 0.51/1.00 (assume @p38 (forall @t6 (=> @t75 (or @t74 (tptp.ordinal_subset @t2 @t1))))) % 0.51/1.00 (assume @p39 (forall @t6 (=> @t84 (= @t83 (forall @t81 (= @t80 (and @t78 @t77))))))) % 0.51/1.00 (assume @p40 (forall @t6 (= @t87 (and @t86 @t85)))) % 0.51/1.00 (assume @p41 (forall @t13 (=> @t40 (forall @t95 (=> @t42 (= (= @t41 @t94) (forall @t93 (= @t92 (and @t91 @t90))))))))) % 0.51/1.00 (assume @p42 (forall @t13 (=> @t103 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t97) @t96 (= @t76 (tptp.apply @t1 @t88))))))))))) % 0.51/1.00 (assume @p43 (forall @t6 (=> @t84 (forall @t106 (=> @t42 (= (= @t41 @t105) (forall @t93 (= @t92 (and @t104 (tptp.in @t89 @t2)))))))))) % 0.51/1.00 (assume @p44 (forall @t13 (=> @t40 (= @t108 (tptp.is_antisymmetric_in @t1 @t107))))) % 0.51/1.00 (assume @p45 (forall @t13 (=> @t103 (forall @t95 (= @t111 (forall @t100 (= @t99 (and @t110 (tptp.in @t109 @t2))))))))) % 0.51/1.00 (assume @p46 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (forall @t106 (=> @t115 (= (= @t41 @t114) (forall @t100 (=> (tptp.in @t76 @t57) (= @t99 (forall @t98 (=> @t113 (not (and (tptp.open_subset @t88 @t1) (tptp.in @t76 @t88) (tptp.disjoint @t2 @t88)))))))))))))))) % 0.51/1.00 (assume @p47 (forall @t13 (=> @t40 (forall @t95 (= @t102 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t118 @t1) @t96))))))))) % 0.51/1.00 (assume @p48 (forall @t13 (=> @t40 (forall @t95 (= @t111 (forall @t100 (= @t99 (exists @t98 (and @t90 @t96))))))))) % 0.51/1.00 (assume @p49 (forall @t13 (=> @t40 (= @t119 (tptp.is_connected_in @t1 @t107))))) % 0.51/1.00 (assume @p50 (forall @t13 (=> @t40 (= @t120 (tptp.is_transitive_in @t1 @t107))))) % 0.51/1.00 (assume @p51 (forall @t122 (= (= @t76 (tptp.unordered_triple @t1 @t2 @t41)) (forall @t98 (= @t121 (not (and (not (= @t88 @t1)) (not (= @t88 @t2)) (not (= @t88 @t41))))))))) % 0.51/1.00 (assume @p52 (forall @t13 (= @t33 (exists @t11 (and @t84 @t125 (= @t124 @t1) (tptp.in @t123 tptp.omega)))))) % 0.51/1.00 (assume @p53 (forall @t13 (= @t36 (forall @t129 (=> (and @t128 @t126) @t77))))) % 0.51/1.00 (assume @p54 (forall @t45 (=> @t135 (and (=> (=> @t133 @t132) (= @t131 (= @t1 @t134))) (=> @t133 (or @t132 (= @t131 @t130))))))) % 0.51/1.00 (assume @p55 (forall @t13 (=> @t138 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t137 (tptp.apply_binary_as_element @t57 @t57 @t57 @t136 @t2 @t41))))))))) % 0.51/1.00 (assume @p56 (forall @t13 (=> @t141 (forall @t11 (= (= @t2 (tptp.pair_first @t1)) (forall @t81 (=> @t140 @t139))))))) % 0.51/1.00 (assume @p57 (forall @t13 (= @t143 (tptp.set_union2 @t1 @t142)))) % 0.51/1.00 (assume @p58 (forall @t13 (=> @t117 (= @t149 (and (tptp.in @t57 @t144) (forall @t11 (=> @t148 (=> (tptp.subset @t2 @t144) (tptp.in @t146 @t144)))) (forall @t11 (=> @t116 (forall @t106 (=> @t115 (=> (and @t145 (tptp.in @t41 @t144)) (tptp.in (tptp.subset_intersection2 @t57 @t2 @t41) @t144))))))))))) % 0.51/1.00 (assume @p59 (forall @t13 (= @t40 (forall @t11 (not (and @t3 (forall @t81 (not (= @t2 @t79))))))))) % 0.51/1.00 (assume @p60 (forall @t13 (=> @t40 (forall @t11 (= @t151 (forall @t106 (=> @t150 (tptp.in (tptp.ordered_pair @t41 @t41) @t1)))))))) % 0.51/1.00 (assume @p61 (forall @t45 (= @t152 (tptp.subset @t41 @t43)))) % 0.51/1.00 (assume @p62 (forall @t6 (and (=> @t156 (= @t153 (forall @t106 (= @t150 (forall @t100 (=> @t155 @t154)))))) (=> @t132 (= @t153 @t133))))) % 0.51/1.00 (assume @p63 (forall @t13 (=> @t158 (= @t62 @t157)))) % 0.51/1.00 (assume @p64 (forall @t6 (= (= @t2 @t142) (forall @t106 (= @t150 (= @t41 @t1)))))) % 0.51/1.00 (assume @p65 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t160 (tptp.subset_complement @t57 (tptp.topstr_closure @t1 @t159)))))))) % 0.51/1.00 (assume @p66 (forall @t13 (=> @t40 (forall @t95 (= (= @t41 (tptp.fiber @t1 @t2)) (forall @t100 (= @t99 (and (not @t161) (tptp.in (tptp.ordered_pair @t76 @t2) @t1))))))))) % 0.51/1.00 (assume @p67 (forall @t6 (=> @t84 (= (= @t2 @t164) (and (= @t163 @t1) (forall @t81 (=> (and @t78 @t155) (= @t80 @t162)))))))) % 0.51/1.00 (assume @p68 (forall @t13 (= @t132 (forall @t11 @t4)))) % 0.51/1.00 (assume @p69 (forall @t6 (= (= @t2 @t24) (forall @t106 (= @t150 (tptp.subset @t41 @t1)))))) % 0.51/1.00 (assume @p70 (forall @t13 (=> (and @t63 @t68) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t166 (tptp.apply_binary_as_element @t57 @t57 @t57 @t165 @t2 @t41))))))))) % 0.51/1.00 (assume @p71 (forall @t13 (=> @t141 (forall @t11 (= (= @t2 (tptp.pair_second @t1)) (forall @t81 (=> @t140 @t167))))))) % 0.51/1.00 (assume @p72 (forall @t13 (= @t38 (forall @t11 (=> @t3 @t85))))) % 0.51/1.00 (assume @p73 (forall @t13 (=> @t158 (= @t168 tptp.empty_set)))) % 0.51/1.00 (assume @p74 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t87 (forall @t81 (= @t169 @t80)))))))) % 0.51/1.00 (assume @p75 (forall @t6 (and (=> @t171 (= @t10 @t3)) (=> @t22 (= @t10 @t170))))) % 0.51/1.00 (assume @p76 (forall @t45 (= (= @t41 @t53) (forall @t100 (= @t99 (or (= @t76 @t1) @t161)))))) % 0.51/1.00 (assume @p77 (forall @t13 (=> @t40 (= @t173 (forall @t11 (not (and (tptp.subset @t2 @t107) @t172 (forall @t106 (not (and @t150 (tptp.disjoint (tptp.fiber @t1 @t41) @t2))))))))))) % 0.51/1.00 (assume @p78 (forall @t45 (= (= @t41 @t55) (forall @t100 (= @t99 (or @t155 @t91)))))) % 0.51/1.00 (assume @p79 (forall @t45 (= (= @t41 @t43) (forall @t100 (= @t99 (exists @t177 (and @t104 @t176 (= @t76 @t175)))))))) % 0.51/1.00 (assume @p80 (forall @t13 (=> @t138 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= @t178 (= @t137 @t41))))))))) % 0.51/1.00 (assume @p81 (forall @t13 (= @t37 (forall @t95 (not (and @t3 @t78 (not @t181) @t180 @t179)))))) % 0.51/1.00 (assume @p82 (forall @t13 (=> @t158 (= @t182 @t57)))) % 0.51/1.00 (assume @p83 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t86 (forall @t81 (=> @t169 @t80)))))))) % 0.51/1.00 (assume @p84 (forall @t6 (= @t86 @t183))) % 0.51/1.00 (assume @p85 (forall @t13 (=> @t40 (forall @t11 (= @t186 (forall @t106 (not (and @t185 @t184 (forall @t100 (not (and @t99 (tptp.disjoint (tptp.fiber @t1 @t76) @t41)))))))))))) % 0.51/1.00 (assume @p86 (forall @t45 (= (= @t41 @t66) (forall @t100 (= @t99 (and @t155 @t91)))))) % 0.51/1.00 (assume @p87 (forall @t13 (=> @t103 (forall @t95 (and (=> @t189 (= @t188 @t128)) (=> (not @t189) (= @t188 @t130))))))) % 0.51/1.00 (assume @p88 (forall @t13 (= @t32 @t39))) % 0.51/1.00 (assume @p89 (forall @t13 (=> @t40 (forall @t11 (= (= @t2 @t97) (forall @t106 (= @t150 (exists @t100 @t169)))))))) % 0.51/1.00 (assume @p90 (forall @t13 (=> @t40 (forall @t11 (= @t191 (forall @t81 (=> (and @t150 @t91 @t169 @t190) @t77))))))) % 0.51/1.00 (assume @p91 (forall @t13 (= @t192 @t1))) % 0.51/1.00 (assume @p92 (forall @t6 (= (= @t2 @t193) (forall @t106 (= @t150 (exists @t100 (and @t154 @t155))))))) % 0.51/1.00 (assume @p93 (forall @t13 (=> @t40 (= @t195 (and @t194 @t120 @t108 @t119 @t173))))) % 0.51/1.00 (assume @p94 (forall @t6 (= @t201 (exists @t106 (and @t42 @t200 @t199 @t198 (= @t196 @t2)))))) % 0.51/1.00 (assume @p95 (forall @t45 (= (= @t41 @t202) (forall @t100 (= @t99 (and @t155 (not @t91))))))) % 0.51/1.00 (assume @p96 (forall @t13 (=> @t103 (forall @t11 (= @t205 (forall @t106 (= @t150 (exists @t100 @t203)))))))) % 0.51/1.00 (assume @p97 (forall @t13 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t206 @t32 (forall @t11 (=> @t29 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t86))))))) % 0.51/1.00 (assume @p98 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t207 @t145)))))) % 0.51/1.00 (assume @p99 (forall @t13 (=> @t40 (forall @t11 (= @t205 (forall @t106 (= @t150 (exists @t100 @t190)))))))) % 0.51/1.00 (assume @p100 (forall @t6 (=> @t25 (= @t208 @t202)))) % 0.51/1.00 (assume @p101 (forall @t6 (= @t209 (tptp.unordered_pair @t53 @t142)))) % 0.51/1.00 (assume @p102 (forall @t13 (=> @t40 (forall @t11 (= (tptp.well_orders @t1 @t2) (and @t151 @t211 @t191 @t210 @t186)))))) % 0.51/1.00 (assume @p103 (forall @t13 (= @t206 (= @t1 @t193)))) % 0.51/1.00 (assume @p104 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t213 (tptp.open_subset @t212 @t1))))))) % 0.51/1.00 (assume @p105 (forall @t13 (=> @t40 (= @t107 (tptp.set_union2 @t97 @t204))))) % 0.51/1.00 (assume @p106 (forall @t13 (=> @t40 (forall @t11 (= @t210 (forall @t81 (not (and @t150 @t91 (not @t77) (not @t169) (not @t190))))))))) % 0.51/1.00 (assume @p107 (forall @t13 (=> @t40 (forall @t11 (= @t215 (tptp.set_intersection2 @t1 @t214)))))) % 0.51/1.00 (assume @p108 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= (= @t2 @t216) (forall @t81 (= @t80 @t190)))))))) % 0.51/1.00 (assume @p109 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t220 (= @t219 (and (= @t197 @t107) (= @t196 @t163) @t199 (forall @t93 (= @t90 (and (tptp.in @t76 @t107) (tptp.in @t88 @t107) (tptp.in (tptp.ordered_pair @t218 @t217) @t2))))))))))))) % 0.51/1.00 (assume @p110 (forall @t6 (= @t221 (= @t66 tptp.empty_set)))) % 0.51/1.00 (assume @p111 (forall @t13 (=> @t103 (= @t49 (forall @t95 (=> (and @t189 (tptp.in @t41 @t97) (= @t187 (tptp.apply @t1 @t41))) @t139)))))) % 0.51/1.00 (assume @p112 (forall @t13 (=> (and @t63 @t223) (= @t222 (forall @t11 (=> @t59 (forall @t106 (=> @t58 (= (tptp.join @t1 @t166 @t41) @t41))))))))) % 0.51/1.00 (assume @p113 (forall @t13 (=> @t158 (forall @t11 (=> @t148 (= @t224 (= @t182 @t146))))))) % 0.51/1.00 (assume @p114 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t42 (= (= @t41 @t226) (forall @t93 (= @t92 (exists @t225 (and (tptp.in (tptp.ordered_pair @t76 @t174) @t1) (tptp.in (tptp.ordered_pair @t174 @t88) @t2))))))))))))) % 0.51/1.00 (assume @p115 (forall @t13 (=> @t40 (forall @t11 (= @t211 (forall @t227 (=> (and @t150 @t91 @t96 @t169 @t90) (tptp.in (tptp.ordered_pair @t41 @t88) @t1)))))))) % 0.51/1.00 (assume @p116 (forall @t6 (=> @t230 (forall @t106 (=> (tptp.element @t41 @t229) (= (= @t41 @t228) (forall @t100 (=> (tptp.element @t76 @t24) (= @t99 (tptp.in (tptp.subset_complement @t1 @t76) @t2)))))))))) % 0.51/1.00 (assume @p117 (forall @t6 (= @t8 (and @t86 @t231)))) % 0.51/1.00 (assume @p118 (forall @t13 (=> @t103 (=> @t49 (= @t232 @t216))))) % 0.51/1.00 (assume @p119 (forall @t13 (=> @t40 (= @t194 (tptp.is_reflexive_in @t1 @t107))))) % 0.51/1.00 (assume @p120 true) % 0.51/1.00 (assume @p121 (forall @t45 (=> (and @t63 @t60 @t59 @t58) (tptp.element @t137 @t57)))) % 0.51/1.00 (assume @p122 (forall @t13 (=> @t158 (tptp.element @t168 @t112)))) % 0.51/1.00 (assume @p123 (forall @t6 (=> @t233 (tptp.element @t160 @t112)))) % 0.51/1.00 (assume @p124 (forall @t13 (tptp.relation @t164))) % 0.51/1.00 (assume @p125 (forall @t238 (=> @t237 (tptp.element @t234 @t41)))) % 0.51/1.00 (assume @p126 (forall @t13 (=> @t103 (and (tptp.relation @t232) (tptp.function @t232))))) % 0.51/1.00 (assume @p127 (forall @t45 (=> (and @t63 @t68 @t59 @t58) (tptp.element @t166 @t57)))) % 0.51/1.00 (assume @p128 (forall @t13 (=> @t158 (tptp.element @t182 @t112)))) % 0.51/1.00 (assume @p129 (forall @t13 (tptp.element @t192 @t24))) % 0.51/1.00 (assume @p130 (forall @t6 (=> @t40 (tptp.relation @t215)))) % 0.51/1.00 (assume @p131 (forall @t45 (=> @t64 (tptp.element @t56 @t57)))) % 0.51/1.00 (assume @p132 (forall @t6 (=> @t25 (tptp.element @t208 @t24)))) % 0.51/1.00 (assume @p133 (forall @t45 (=> @t70 (tptp.element @t67 @t57)))) % 0.51/1.00 (assume @p134 (forall @t13 (=> @t40 @t239))) % 0.51/1.00 (assume @p135 (forall @t45 (=> @t152 (tptp.element @t134 @t24)))) % 0.51/1.00 (assume @p136 (forall @t6 (=> @t241 @t240))) % 0.51/1.00 (assume @p137 (forall @t45 (=> @t152 (tptp.element @t243 @t242)))) % 0.51/1.00 (assume @p138 (forall @t6 (=> @t230 (tptp.element @t244 @t24)))) % 0.51/1.00 (assume @p139 (forall @t45 (=> @t73 (tptp.element @t71 @t24)))) % 0.51/1.00 (assume @p140 (forall @t6 (=> @t233 (tptp.element @t114 @t112)))) % 0.51/1.00 (assume @p141 (forall @t13 @t245)) % 0.51/1.00 (assume @p142 (forall @t6 (=> @t230 (tptp.element @t246 @t24)))) % 0.51/1.00 (assume @p143 (forall @t45 (=> @t73 (tptp.element @t247 @t24)))) % 0.51/1.00 (assume @p144 (forall @t6 (=> @t40 @t248))) % 0.51/1.00 (assume @p145 (forall @t6 (=> @t230 (tptp.element @t228 @t229)))) % 0.51/1.00 (assume @p146 (forall @t6 (=> @t84 @t249))) % 0.51/1.00 (assume @p147 (forall @t13 (=> @t68 @t158))) % 0.51/1.00 (assume @p148 (forall @t13 (=> @t117 @t158))) % 0.51/1.00 (assume @p149 (forall @t13 (=> @t60 @t158))) % 0.51/1.00 (assume @p150 (forall @t13 (=> @t223 (and @t68 @t60)))) % 0.51/1.00 (assume @p151 (forall @t45 (=> @t135 @t44))) % 0.51/1.00 (assume @p152 (forall @t13 (=> @t68 (and (tptp.function @t165) (tptp.quasi_total @t165 @t250 @t57) (tptp.relation_of2_as_subset @t165 @t250 @t57))))) % 0.51/1.00 (assume @p153 (forall @t13 (=> @t117 (tptp.element @t144 @t147)))) % 0.51/1.00 (assume @p154 (forall @t13 (=> @t60 (and (tptp.function @t136) (tptp.quasi_total @t136 @t250 @t57) (tptp.relation_of2_as_subset @t136 @t250 @t57))))) % 0.51/1.00 (assume @p155 (exists @t13 @t68)) % 0.51/1.00 (assume @p156 (exists @t13 @t117)) % 0.51/1.00 (assume @p157 (exists @t13 @t158)) % 0.51/1.00 (assume @p158 (exists @t13 @t60)) % 0.51/1.00 (assume @p159 (exists @t13 @t223)) % 0.51/1.00 (assume @p160 (forall @t6 (exists @t106 @t152))) % 0.51/1.00 (assume @p161 (forall @t13 (exists @t11 @t10))) % 0.51/1.00 (assume @p162 (forall @t6 (exists @t106 @t135))) % 0.51/1.00 (assume @p163 (forall @t6 (=> @t48 @t251))) % 0.51/1.00 (assume @p164 (forall @t6 (=> @t253 (and (tptp.empty @t252) (tptp.relation @t252))))) % 0.51/1.00 (assume @p165 (forall @t6 (=> @t33 @t251))) % 0.51/1.00 (assume @p166 (forall @t13 (=> @t22 (and (tptp.empty @t216) @t239)))) % 0.51/1.00 (assume @p167 (forall @t6 (=> @t33 (tptp.finite @t202)))) % 0.51/1.00 (assume @p168 (and @t256 @t255 @t254)) % 0.51/1.00 (assume @p169 (forall @t6 (=> (and @t40 @t36 @t48) (tptp.finite @t101)))) % 0.51/1.00 (assume @p170 (forall @t6 (=> @t258 (and @t248 (tptp.relation_empty_yielding @t94))))) % 0.51/1.00 (assume @p171 (forall @t13 (and @t259 (tptp.finite @t142)))) % 0.51/1.00 (assume @p172 (forall @t13 (and @t260 (tptp.cup_closed @t24) (tptp.diff_closed @t24) (tptp.preboolean @t24)))) % 0.51/1.00 (assume @p173 (forall @t6 (=> (and @t40 @t36 @t84 @t125) (and @t240 (tptp.function @t226))))) % 0.51/1.00 (assume @p174 (forall @t13 @t261)) % 0.51/1.00 (assume @p175 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 0.51/1.00 (assume @p176 (forall @t13 (=> @t158 (and (tptp.empty @t168) (tptp.v1_membered @t168) (tptp.v2_membered @t168) (tptp.v3_membered @t168) (tptp.v4_membered @t168) (tptp.v5_membered @t168))))) % 0.51/1.00 (assume @p177 (forall @t6 (=> @t241 (tptp.relation @t66)))) % 0.51/1.00 (assume @p178 (forall @t13 (=> @t262 (not @t157)))) % 0.51/1.00 (assume @p179 (forall @t13 @t260)) % 0.51/1.00 (assume @p180 @t256) % 0.51/1.00 (assume @p181 (forall @t6 (not (tptp.empty @t209)))) % 0.51/1.00 (assume @p182 (forall @t6 (=> @t12 @t263))) % 0.51/1.00 (assume @p183 (forall @t6 (=> @t12 @t264))) % 0.51/1.00 (assume @p184 (forall @t6 (=> @t15 (and @t263 @t265)))) % 0.51/1.00 (assume @p185 (forall @t13 (=> (and @t32 @t46) (and @t261 @t268 @t267 @t266 (tptp.natural @t143))))) % 0.51/1.00 (assume @p186 (forall @t13 (and @t245 (tptp.function @t82)))) % 0.51/1.00 (assume @p187 (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))) % 0.51/1.00 (assume @p188 (forall @t13 (=> @t262 (not (tptp.empty @t182))))) % 0.51/1.00 (assume @p189 (forall @t6 (=> @t241 (tptp.relation @t55)))) % 0.51/1.00 (assume @p190 (forall @t13 @t259)) % 0.51/1.00 (assume @p191 (forall @t6 (=> @t269 (tptp.closed_subset @t114 @t1)))) % 0.51/1.00 (assume @p192 (forall @t6 (=> @t171 (not (tptp.empty @t55))))) % 0.51/1.00 (assume @p193 (forall @t6 (=> @t15 (and @t264 @t270)))) % 0.51/1.00 (assume @p194 (forall @t6 (=> @t17 (and @t263 @t265 @t271)))) % 0.51/1.00 (assume @p195 (forall @t6 (=> @t17 (and @t264 @t270 @t272)))) % 0.51/1.00 (assume @p196 (forall @t6 (=> @t19 (and @t263 @t265 @t271 @t273)))) % 0.51/1.00 (assume @p197 (forall @t6 (=> @t19 (and @t264 @t270 @t272 @t274)))) % 0.51/1.00 (assume @p198 (forall @t6 (=> @t21 (and @t263 @t265 @t271 @t273 (tptp.v5_membered @t66))))) % 0.51/1.00 (assume @p199 (forall @t6 (=> @t21 (and @t264 @t270 @t272 @t274 (tptp.v5_membered @t65))))) % 0.51/1.00 (assume @p200 (forall @t6 (=> @t12 @t275))) % 0.51/1.00 (assume @p201 (forall @t6 (=> @t15 (and @t275 @t276)))) % 0.51/1.00 (assume @p202 (forall @t6 (=> @t17 (and @t275 @t276 @t277)))) % 0.51/1.00 (assume @p203 (forall @t13 (=> @t50 (and @t239 (tptp.function @t216))))) % 0.51/1.00 (assume @p204 (forall @t13 (=> @t32 (and @t261 @t268 @t267 @t266)))) % 0.51/1.00 (assume @p205 (forall @t6 (=> @t241 (tptp.relation @t202)))) % 0.51/1.00 (assume @p206 (forall @t6 (not (tptp.empty @t53)))) % 0.51/1.00 (assume @p207 (forall @t6 (=> (and @t149 @t117 @t213 @t116) @t278))) % 0.51/1.00 (assume @p208 (forall @t6 (=> @t171 (not (tptp.empty @t54))))) % 0.51/1.00 (assume @p209 (forall @t6 (=> @t19 (and @t275 @t276 @t277 @t279)))) % 0.51/1.00 (assume @p210 (forall @t6 (=> @t21 (and @t275 @t276 @t277 @t279 (tptp.v5_membered @t202))))) % 0.51/1.00 (assume @p211 (forall @t6 (=> @t103 (and @t248 (tptp.function @t94))))) % 0.51/1.00 (assume @p212 (forall @t13 (=> @t32 (and (tptp.epsilon_transitive @t193) (tptp.epsilon_connected @t193) (tptp.ordinal @t193))))) % 0.51/1.00 (assume @p213 (and @t256 @t255)) % 0.51/1.00 (assume @p214 (forall @t6 (=> (and @t171 @t236) (not (tptp.empty @t43))))) % 0.51/1.00 (assume @p215 (forall @t6 (=> (and @t149 @t117 @t207 @t116) @t280))) % 0.51/1.00 (assume @p216 (forall @t6 (=> @t281 (and @t249 (tptp.function @t105))))) % 0.51/1.00 (assume @p217 (forall @t13 (=> @t282 (tptp.closed_subset @t182 @t1)))) % 0.51/1.00 (assume @p218 (forall @t13 (=> @t284 (not @t283)))) % 0.51/1.00 (assume @p219 (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))) % 0.51/1.00 (assume @p220 (forall @t13 (=> @t284 (not @t285)))) % 0.51/1.00 (assume @p221 (forall @t6 (=> @t269 @t286))) % 0.51/1.00 (assume @p222 (forall @t13 (=> @t22 (and @t283 (tptp.relation @t97))))) % 0.51/1.00 (assume @p223 (forall @t13 (=> @t22 (and @t285 (tptp.relation @t204))))) % 0.51/1.00 (assume @p224 (forall @t6 (=> (and @t33 @t48) (tptp.finite @t55)))) % 0.51/1.00 (assume @p225 (forall @t6 (=> @t253 (and (tptp.empty @t226) @t240)))) % 0.51/1.00 (assume @p226 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.51/1.00 (assume @p227 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.51/1.00 (assume @p228 (forall @t45 (=> @t73 (= (tptp.subset_intersection2 @t1 @t2 @t2) @t2)))) % 0.51/1.00 (assume @p229 (forall @t6 (=> @t25 (= (tptp.subset_complement @t1 @t208) @t2)))) % 0.51/1.00 (assume @p230 (forall @t13 (=> @t40 (= (tptp.relation_inverse @t216) @t1)))) % 0.51/1.00 (assume @p231 (forall @t6 (=> @t230 (= (tptp.complements_of_subsets @t1 @t228) @t2)))) % 0.51/1.00 (assume @p232 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.51/1.00 (assume @p233 (forall @t13 (=> @t40 (= @t194 (forall @t11 (=> @t287 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 0.51/1.00 (assume @p234 (forall @t13 (not (= @t142 tptp.empty_set)))) % 0.51/1.00 (assume @p235 (forall @t6 (=> @t5 (= (tptp.set_union2 @t142 @t2) @t2)))) % 0.51/1.00 (assume @p236 (forall @t6 (not (and @t288 @t5)))) % 0.51/1.00 (assume @p237 (forall @t6 (=> @t289 @t288))) % 0.51/1.00 (assume @p238 (forall @t6 (=> @t84 (tptp.subset (tptp.relation_dom @t105) @t123)))) % 0.51/1.00 (assume @p239 (forall @t13 (=> @t40 (= @t120 (forall @t129 (=> (and @t128 @t169) @t126)))))) % 0.51/1.00 (assume @p240 (forall @t6 (= (tptp.subset @t142 @t2) @t5))) % 0.51/1.00 (assume @p241 (forall @t6 (=> @t84 (not (and @t290 (tptp.equipotent @t1 @t163) (forall @t106 (=> @t42 (not (tptp.well_orders @t41 @t1))))))))) % 0.51/1.00 (assume @p242 (forall @t6 (= (= @t202 tptp.empty_set) @t86))) % 0.51/1.00 (assume @p243 (forall @t6 (=> @t25 (forall @t106 (=> @t150 @t78))))) % 0.51/1.00 (assume @p244 (forall @t13 (=> @t40 (= @t108 (forall @t95 (=> (and @t128 @t291) @t139)))))) % 0.51/1.00 (assume @p245 (forall @t45 (=> @t86 (or @t78 (tptp.subset @t1 (tptp.set_difference @t2 @t292)))))) % 0.51/1.00 (assume @p246 (forall @t13 (=> @t262 (forall @t11 (=> @t116 (forall @t106 (=> @t58 (= (tptp.in @t41 @t159) @t179)))))))) % 0.51/1.00 (assume @p247 (forall @t13 (=> @t40 (= @t119 (forall @t95 (not (and @t287 (tptp.in @t41 @t107) @t180 @t293 (not @t291)))))))) % 0.51/1.00 (assume @p248 (forall @t6 (= (tptp.subset @t1 @t294) (or @t132 (= @t1 @t294))))) % 0.51/1.00 (assume @p249 (forall @t6 (=> @t5 (tptp.subset @t1 @t295)))) % 0.51/1.00 (assume @p250 (forall @t122 (= (tptp.in @t209 (tptp.cartesian_product2 @t41 @t76)) (and @t296 (tptp.in @t2 @t76))))) % 0.51/1.00 (assume @p251 (forall @t6 (=> @t183 @t297))) % 0.51/1.00 (assume @p252 (forall @t45 (=> @t220 (= @t299 (and (tptp.in @t2 @t197) @t3))))) % 0.51/1.00 (assume @p253 (exists @t13 (and @t171 @t38 @t37 @t32 @t46))) % 0.51/1.00 (assume @p254 (exists @t13 (and @t171 @t33))) % 0.51/1.00 (assume @p255 (exists @t13 @t103)) % 0.51/1.00 (assume @p256 (forall @t6 (exists @t106 (and @t152 @t42 @t200 @t131)))) % 0.51/1.00 (assume @p257 (exists @t13 (and @t171 @t12 @t15 @t17 @t19 @t21))) % 0.51/1.00 (assume @p258 (exists @t13 @t52)) % 0.51/1.00 (assume @p259 (exists @t13 (and @t38 @t37 @t32 @t206))) % 0.51/1.00 (assume @p260 (exists @t13 (and @t40 @t36 @t49 @t22))) % 0.51/1.00 (assume @p261 (exists @t13 (and @t22 @t40))) % 0.51/1.00 (assume @p262 (forall @t13 (=> @t171 (exists @t11 (and @t25 @t236))))) % 0.51/1.00 (assume @p263 (forall @t13 (=> @t282 (exists @t11 (and @t116 @t207))))) % 0.51/1.00 (assume @p264 (exists @t13 @t22)) % 0.51/1.00 (assume @p265 (forall @t13 (exists @t11 (and @t25 @t170 @t84 @t125 @t300 @t31 @t30 @t29 @t20 @t48)))) % 0.51/1.00 (assume @p266 (exists @t13 @t51)) % 0.51/1.00 (assume @p267 (exists @t13 (and @t40 @t36 @t49 @t22 @t38 @t37 @t32))) % 0.51/1.00 (assume @p268 (forall @t6 (exists @t106 (and @t152 @t42 @t200)))) % 0.51/1.00 (assume @p269 (exists @t13 @t284)) % 0.51/1.00 (assume @p270 (forall @t13 (exists @t11 (and @t25 @t170)))) % 0.51/1.00 (assume @p271 (forall @t13 (=> @t282 (exists @t11 (and @t116 @t207 @t213))))) % 0.51/1.00 (assume @p272 (exists @t13 @t171)) % 0.51/1.00 (assume @p273 (forall @t13 (=> @t171 (exists @t11 (and @t25 @t236 @t48))))) % 0.51/1.00 (assume @p274 (exists @t13 @t50)) % 0.51/1.00 (assume @p275 (exists @t13 (and @t171 @t38 @t37 @t32))) % 0.51/1.00 (assume @p276 (exists @t13 @t258)) % 0.51/1.00 (assume @p277 (exists @t13 (and @t158 @t63))) % 0.51/1.00 (assume @p278 (exists @t13 (and @t40 @t257 @t36))) % 0.51/1.00 (assume @p279 (forall @t13 (=> @t262 (exists @t11 (and @t116 @t236))))) % 0.51/1.00 (assume @p280 (forall @t13 (=> @t282 (exists @t11 (and @t116 @t213))))) % 0.51/1.00 (assume @p281 (forall @t238 (=> @t237 (= @t234 (tptp.apply_binary @t76 @t88 @t174))))) % 0.51/1.00 (assume @p282 (forall @t45 (=> @t64 (= @t56 @t137)))) % 0.51/1.00 (assume @p283 (forall @t45 (=> @t70 (= @t67 @t166)))) % 0.51/1.00 (assume @p284 (forall @t45 (=> @t152 (= @t134 @t197)))) % 0.51/1.00 (assume @p285 (forall @t45 (=> @t152 (= @t243 @t196)))) % 0.51/1.00 (assume @p286 (forall @t6 (=> @t230 (= @t244 @t295)))) % 0.51/1.00 (assume @p287 (forall @t45 (=> @t73 (= @t71 @t301)))) % 0.51/1.00 (assume @p288 (forall @t6 (=> @t230 (= @t246 (tptp.set_meet @t2))))) % 0.51/1.00 (assume @p289 (forall @t45 (=> @t73 (= @t247 @t302)))) % 0.51/1.00 (assume @p290 (forall @t45 (= @t135 @t152))) % 0.51/1.00 (assume @p291 (forall @t6 (=> @t75 (= @t74 @t86)))) % 0.51/1.00 (assume @p292 (forall @t6 (= @t201 (tptp.are_equipotent @t1 @t2)))) % 0.51/1.00 (assume @p293 (forall @t6 (=> @t75 (tptp.ordinal_subset @t1 @t1)))) % 0.51/1.00 (assume @p294 (forall @t6 (tptp.subset @t1 @t1))) % 0.51/1.00 (assume @p295 (forall @t6 (tptp.equipotent @t1 @t1))) % 0.51/1.00 (assume @p296 (forall @t6 (=> @t320 (=> @t319 (exists @t106 (and @t42 @t200 (forall @t93 (= @t92 (and @t155 @t155 (exists @t307 (and (= @t76 @t304) (tptp.in @t88 @t304) (forall @t306 (=> @t305 (tptp.in (tptp.ordered_pair @t88 @t303) @t2)))))))))))))) % 0.51/1.00 (assume @p297 (forall @t13 (=> @t323 (exists @t11 (and @t84 @t125 (forall @t81 (= @t80 (and @t78 @t78 (= @t76 @t292))))))))) % 0.51/1.00 (assume @p298 (forall @t6 (=> @t337 (=> @t336 (exists @t106 (and @t42 @t200 (forall @t93 (= @t92 (and @t328 @t328 (forall @t313 (=> @t326 (=> @t325 (= @t88 @t324))))))))))))) % 0.51/1.00 (assume @p299 (forall @t13 (=> (exists @t11 (and @t29 @t3)) (exists @t11 (and @t29 @t3 (forall @t106 (=> @t338 (=> @t78 (tptp.ordinal_subset @t2 @t41))))))))) % 0.51/1.00 (assume @p300 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t13 (=> (tptp.element @t1 (tptp.powerset @t362)) (not (and @t156 (forall @t11 (not (and @t3 (forall @t106 (=> (and @t78 @t361) (= @t41 @t2))))))))))) (forall @t100 (=> @t345 (=> @t360 (=> (tptp.in @t359 tptp.omega) (forall @t313 (=> (tptp.element @t310 (tptp.powerset (tptp.powerset @t359))) (not (and (not (= @t310 tptp.empty_set)) (forall @t312 (not (and @t311 (forall @t307 (=> (and (tptp.in @t304 @t310) (tptp.subset @t309 @t304)) (= @t304 @t309)))))))))))))) (forall @t100 (=> @t345 (=> (and (tptp.being_limit_ordinal @t76) (forall @t306 (=> (tptp.ordinal @t303) (=> (tptp.in @t303 @t76) (=> (tptp.in @t303 tptp.omega) (forall @t358 (=> (tptp.element @t354 (tptp.powerset (tptp.powerset @t303))) (not (and (not (= @t354 tptp.empty_set)) (forall @t357 (not (and @t356 (forall @t355 (=> (and (tptp.in @t353 @t354) (tptp.subset @t352 @t353)) (= @t353 @t352))))))))))))))) (or (= @t76 tptp.empty_set) (=> @t344 (forall @t351 (=> (tptp.element @t348 @t342) (not (and (not (= @t348 tptp.empty_set)) (forall @t350 (not (and (tptp.in @t346 @t348) (forall @t349 (=> (and (tptp.in @t347 @t348) (tptp.subset @t346 @t347)) (= @t347 @t346)))))))))))))))) (forall @t100 (=> @t345 (=> @t344 (forall @t343 (=> (tptp.element @t341 @t342) (not (and (not (= @t341 tptp.empty_set)) (forall (@list @t339) (not (and (tptp.in @t339 @t341) (forall (@list @t340) (=> (and (tptp.in @t340 @t341) (tptp.subset @t339 @t340)) (= @t340 @t339))))))))))))))) % 0.51/1.00 (assume @p301 (forall @t45 (=> @t366 (exists @t100 (and @t365 (forall @t177 (= (tptp.in @t175 @t76) (and @t104 @t364 (tptp.in (tptp.ordered_pair @t217 @t363) @t2))))))))) % 0.51/1.00 (assume @p302 (forall @t6 (=> @t320 (=> @t319 (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t104 @t104 (exists @t307 (and (= @t88 @t304) @t368 @t367))))))))))) % 0.51/1.00 (assume @p303 (forall @t6 (=> @t320 (forall @t106 (=> (forall @t381 (=> (and @t308 (exists @t380 (and @t379 @t377 (exists @t312 (and @t376 (tptp.in @t310 @t309) (forall @t307 (=> @t375 (tptp.in (tptp.ordered_pair @t310 @t304) @t2))))))) @t374 (exists @t373 (and (= @t372 @t174) (tptp.in @t303 @t1) (exists @t357 (and (= @t303 @t352) (tptp.in @t354 @t352) (forall @t355 (=> (tptp.in @t353 @t352) (tptp.in (tptp.ordered_pair @t354 @t353) @t2)))))))) @t371)) (exists @t100 (forall @t98 (= @t121 (exists @t225 (and (tptp.in @t174 @t370) @t369 (exists (@list @t348 @t346) (and (= (tptp.ordered_pair @t348 @t346) @t88) (tptp.in @t348 @t1) (exists @t349 (and (= @t348 @t347) (tptp.in @t346 @t347) (forall @t343 (=> (tptp.in @t341 @t347) (tptp.in (tptp.ordered_pair @t346 @t341) @t2))))))))))))))))) % 0.51/1.00 (assume @p304 (forall @t13 (=> @t323 (exists @t11 (forall @t106 (= @t150 (exists @t100 (and @t155 @t155 (= @t41 (tptp.singleton @t76)))))))))) % 0.51/1.00 (assume @p305 (forall @t6 (=> (forall @t227 (=> (and @t77 (exists @t388 (and (= @t387 @t76) @t364 (= @t315 (tptp.singleton @t174)))) @t386 (exists (@list @t310 @t309) (and (= (tptp.ordered_pair @t310 @t309) @t88) @t385 (= @t309 (tptp.singleton @t310))))) @t308)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t43) @t384 (exists @t383 (and (= @t382 @t76) (tptp.in @t304 @t1) (= @t303 (tptp.singleton @t304)))))))))))) % 0.51/1.00 (assume @p306 (forall @t13 (=> @t32 (=> (forall @t129 (=> (and @t139 (exists @t98 (and @t391 @t386 (=> (tptp.in @t88 tptp.omega) (forall @t225 (=> (tptp.element @t174 (tptp.powerset (tptp.powerset @t88))) @t390))))) @t167 (exists @t312 (and (tptp.ordinal @t309) (= @t76 @t309) (=> (tptp.in @t309 tptp.omega) (forall @t307 (=> (tptp.element @t304 (tptp.powerset (tptp.powerset @t309))) (not (and (not (= @t304 tptp.empty_set)) (forall @t306 (not (and @t305 (forall @t358 (=> (and (tptp.in @t354 @t304) (tptp.subset @t303 @t354)) (= @t354 @t303)))))))))))))) @t77)) (exists @t11 (forall @t106 (= @t150 (exists @t100 (and (tptp.in @t76 @t143) @t389 (exists @t357 (and (tptp.ordinal @t352) (= @t41 @t352) (=> (tptp.in @t352 tptp.omega) (forall @t355 (=> (tptp.element @t353 (tptp.powerset (tptp.powerset @t352))) (not (and (not (= @t353 tptp.empty_set)) (forall @t351 (not (and (tptp.in @t348 @t353) (forall @t350 (=> (and (tptp.in @t346 @t353) (tptp.subset @t348 @t346)) (= @t346 @t348)))))))))))))))))))))) % 0.51/1.00 (assume @p307 (forall @t6 (=> @t269 (=> (forall @t227 (=> (and @t77 (exists @t225 (and @t334 (= @t174 @t76) (tptp.closed_subset @t174 @t1) @t392)) @t386 (exists @t317 (and @t330 (= @t315 @t88) (tptp.closed_subset @t315 @t1) (tptp.subset @t2 @t88)))) @t308)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t393 @t384 (exists @t313 (and @t326 @t325 (tptp.closed_subset @t310 @t1) @t392))))))))))) % 0.51/1.00 (assume @p308 (forall @t6 (=> @t395 (=> (forall @t227 (=> (and @t77 @t394 @t386 (tptp.in (tptp.set_difference @t182 @t88) @t2)) @t308)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t393 @t384 @t394))))))))) % 0.51/1.00 (assume @p309 (forall @t6 (=> @t397 (=> (forall @t227 (=> (and @t77 (exists @t225 (and @t176 (= @t76 (tptp.set_difference @t174 @t142)))) @t386 (exists @t317 (and @t396 (= @t88 (tptp.set_difference @t315 @t142))))) @t308)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t24) @t384 (exists @t313 (and (tptp.in @t310 @t2) (= @t76 (tptp.set_difference @t310 @t142))))))))))))) % 0.51/1.00 (assume @p310 (forall @t6 (=> @t337 (=> @t336 (exists @t106 (forall @t100 (= @t99 (exists @t98 (and @t399 @t399 (forall @t313 (=> @t326 (=> (= @t310 @t88) @t398)))))))))))) % 0.51/1.00 (assume @p311 (forall @t6 (=> @t337 (forall @t106 (=> (forall @t381 (=> (and @t308 (exists @t380 (and @t379 (tptp.in @t315 @t327) @t423)) @t374 (exists @t383 (and @t416 (tptp.in @t304 @t327) @t415))) @t371)) (exists @t100 (forall @t98 (= @t121 (exists @t225 (and (tptp.in @t174 @t409) @t369 (exists @t408 (and @t407 (tptp.in @t352 @t327) @t405)))))))))))) % 0.51/1.00 (assume @p312 @t445) % 0.51/1.00 (assume @p313 (forall @t45 (=> @t366 (=> (forall @t381 (=> (and @t308 (exists @t380 (and @t448 (tptp.in (tptp.ordered_pair @t447 (tptp.apply @t41 @t310)) @t2))) @t374 (exists (@list @t309 @t304) (and (= @t174 (tptp.ordered_pair @t309 @t304)) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t309) (tptp.apply @t41 @t304)) @t2)))) @t371)) (exists @t100 (forall @t98 (= @t121 (exists @t225 (and (tptp.in @t174 @t446) @t369 (exists @t373 (and (= @t88 @t372) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t303) (tptp.apply @t41 @t354)) @t2)))))))))))) % 0.51/1.00 (assume @p314 (forall @t13 (=> (forall @t129 (=> (and @t139 @t338 @t167 @t345) @t77)) (exists @t11 (forall @t106 (= @t150 (exists @t100 (and @t155 @t389 @t338)))))))) % 0.51/1.00 (assume @p315 (forall @t45 (=> @t451 (=> (forall @t381 (=> (and @t308 @t449 @t374 (tptp.in (tptp.relation_image @t41 @t174) @t2)) @t371)) (exists @t100 (forall @t98 (= @t121 (exists @t225 (and (tptp.in @t174 @t450) @t369 @t449))))))))) % 0.51/1.00 (assume @p316 (forall @t6 (=> @t29 (=> (forall @t227 (=> (and @t77 (exists @t225 (and (tptp.ordinal @t174) @t374 @t364)) @t386 (exists @t317 (and (tptp.ordinal @t315) (= @t88 @t315) @t377))) @t308)) (exists @t106 (forall @t100 (= @t99 (exists @t98 (and (tptp.in @t88 @t452) @t384 (exists @t313 (and (tptp.ordinal @t310) (= @t76 @t310) @t385))))))))))) % 0.51/1.00 (assume @p317 (forall @t6 (=> @t320 (forall @t106 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t370) (exists @t388 (and @t454 @t364 (exists @t313 (and @t453 (tptp.in @t315 @t310) (forall @t312 (=> @t311 (tptp.in (tptp.ordered_pair @t315 @t309) @t2))))))))))))))) % 0.51/1.00 (assume @p318 (forall @t6 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t43) (exists @t177 (and (= @t175 @t76) @t104 (= @t174 (tptp.singleton @t88)))))))))) % 0.51/1.00 (assume @p319 (forall @t13 (=> @t32 (exists @t11 (forall @t106 (= @t150 (and (tptp.in @t41 @t143) (exists @t100 (and @t345 @t77 @t360))))))))) % 0.51/1.00 (assume @p320 (forall @t6 (=> @t269 (exists @t106 (forall @t100 (= @t99 (and @t456 @t455))))))) % 0.51/1.00 (assume @p321 (forall @t6 (=> @t395 (exists @t106 (forall @t100 (= @t99 (and @t456 @t394))))))) % 0.51/1.00 (assume @p322 (forall @t6 (=> @t397 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t24) (exists @t98 (and @t96 (= @t76 (tptp.set_difference @t88 @t142))))))))))) % 0.51/1.00 (assume @p323 (forall @t6 (=> @t337 (forall @t106 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t409) (exists @t388 (and @t454 (tptp.in @t174 @t327) @t461)))))))))) % 0.51/1.00 (assume @p324 @t472) % 0.51/1.00 (assume @p325 (forall @t45 (=> @t366 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t446) (exists @t388 (and @t473 (tptp.in (tptp.ordered_pair @t363 @t447) @t2)))))))))) % 0.51/1.00 (assume @p326 (forall @t13 (exists @t11 (forall @t106 (= @t150 (and @t78 @t338)))))) % 0.51/1.00 (assume @p327 (forall @t45 (=> @t451 (exists @t100 (forall @t98 (= @t121 (and (tptp.in @t88 @t450) @t449))))))) % 0.51/1.00 (assume @p328 (forall @t6 (=> @t29 (exists @t106 (forall @t100 (= @t99 (and (tptp.in @t76 @t452) (exists @t98 (and @t391 @t308 @t104))))))))) % 0.51/1.00 (assume @p329 (forall @t6 (=> @t320 (=> (and (forall @t227 (=> (and @t78 @t318 @t314) @t308)) (forall @t106 (not (and @t78 (forall @t100 (not (exists @t307 (and (= @t41 @t304) @t368 @t367)))))))) (exists @t106 (and @t42 @t200 @t198 (forall @t100 (=> @t155 (exists @t358 (and (= @t76 @t354) (tptp.in @t218 @t354) (forall @t357 (=> @t356 (tptp.in (tptp.ordered_pair @t218 @t352) @t2))))))))))))) % 0.51/1.00 (assume @p330 (forall @t13 (=> (and (forall @t129 (=> (and @t3 @t322 @t321) @t77)) (forall @t11 (not (and @t3 (forall @t106 (not @t322)))))) @t476))) % 0.51/1.00 (assume @p331 (forall @t6 (=> @t337 (=> (and (forall @t227 (=> (and @t332 @t335 @t331) @t308)) (forall @t106 (not (and @t332 (forall @t100 (not (forall @t313 (=> @t326 (=> (= @t310 @t41) @t398))))))))) (exists @t106 (and @t42 @t200 (= @t197 @t327) (forall @t100 (=> @t328 (forall @t312 (=> @t421 (=> (= @t309 @t76) (= @t218 @t417)))))))))))) % 0.51/1.00 (assume @p332 (=> (forall @t13 (=> @t32 (=> (forall @t11 (=> @t29 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t106 (=> (tptp.element @t41 (tptp.powerset @t242)) (not (and @t184 (forall @t100 (not (and @t99 (forall @t98 (=> (and (tptp.in @t88 @t41) (tptp.subset @t76 @t88)) @t384))))))))))))) (=> @t477 (forall @t225 (=> (tptp.element @t174 @t229) @t390)))))) (forall @t13 (=> @t32 (=> @t477 (forall @t312 (=> (tptp.element @t309 @t229) (not (and (not (= @t309 tptp.empty_set)) (forall @t307 (not (and @t375 (forall @t306 (=> (and (tptp.in @t303 @t309) (tptp.subset @t304 @t303)) (= @t303 @t304))))))))))))))) % 0.51/1.00 (assume @p333 (forall @t13 @t476)) % 0.51/1.00 (assume @p334 (forall @t6 (=> @t269 (exists @t106 (and @t479 (forall @t100 (=> @t478 (= @t99 @t455)))))))) % 0.51/1.00 (assume @p335 (forall @t6 (=> @t395 (exists @t106 (and @t479 (forall @t100 (=> @t478 (= @t99 @t394)))))))) % 0.51/1.00 (assume @p336 (forall @t6 (=> @t221 (tptp.disjoint @t2 @t1)))) % 0.51/1.00 (assume @p337 (forall @t6 (=> @t201 (tptp.equipotent @t2 @t1)))) % 0.51/1.00 (assume @p338 (forall @t13 (tptp.in @t1 @t143))) % 0.51/1.00 (assume @p339 (forall @t6 (=> @t230 (and @t481 (not (and (not @t480) @t133)))))) % 0.51/1.00 (assume @p340 (forall @t122 (not (and (= @t53 (tptp.unordered_pair @t41 @t76)) (not @t482) (not (= @t1 @t76)))))) % 0.51/1.00 (assume @p341 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t41))) (and @t5 (tptp.in @t1 @t196)))))) % 0.51/1.00 (assume @p342 (forall @t6 (=> @t84 (tptp.subset @t483 @t1)))) % 0.51/1.00 (assume @p343 (forall @t6 (=> @t84 (tptp.subset @t105 @t2)))) % 0.51/1.00 (assume @p344 (forall @t6 (=> @t84 (tptp.subset @t483 @t124)))) % 0.51/1.00 (assume @p345 (forall @t45 (=> @t86 (and (tptp.subset @t370 @t427) (tptp.subset (tptp.cartesian_product2 @t41 @t1) (tptp.cartesian_product2 @t41 @t2)))))) % 0.51/1.00 (assume @p346 (forall @t6 (=> @t84 (= @t483 (tptp.set_intersection2 @t124 @t1))))) % 0.51/1.00 (assume @p347 (forall @t122 (=> (and @t86 @t162) (tptp.subset @t370 (tptp.cartesian_product2 @t2 @t76))))) % 0.51/1.00 (assume @p348 (forall @t6 (=> @t230 (=> @t172 (= @t484 (tptp.subset_complement @t1 @t244)))))) % 0.51/1.00 (assume @p349 (forall @t45 (=> @t135 (and (tptp.subset @t197 @t1) (tptp.subset @t196 @t2))))) % 0.51/1.00 (assume @p350 (forall @t6 (=> @t230 (=> @t172 (= @t485 (tptp.subset_complement @t1 @t246)))))) % 0.51/1.00 (assume @p351 (forall @t6 (=> @t86 (= @t55 @t2)))) % 0.51/1.00 (assume @p352 (forall @t13 (exists @t11 (and @t5 @t488 (forall @t106 (=> @t150 (tptp.in @t487 @t2))) @t486)))) % 0.51/1.00 (assume @p353 (forall @t6 (=> (and @t86 @t48) @t33))) % 0.51/1.00 (assume @p354 (forall @t45 (=> @t42 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t41) @t2) (tptp.relation_rng_restriction @t1 @t489))))) % 0.51/1.00 (assume @p355 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_image @t41 @t2)) (exists @t100 (and (tptp.in @t76 @t197) (tptp.in (tptp.ordered_pair @t76 @t1) @t41) @t91)))))) % 0.51/1.00 (assume @p356 (forall @t6 (=> @t84 (tptp.subset @t490 @t124)))) % 0.51/1.00 (assume @p357 (forall @t6 (=> @t281 (tptp.subset @t492 @t1)))) % 0.51/1.00 (assume @p358 (forall @t6 (=> @t84 (= @t490 (tptp.relation_image @t2 @t493))))) % 0.51/1.00 (assume @p359 (forall @t6 (=> @t84 (=> (tptp.subset @t1 @t123) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t490)))))) % 0.51/1.00 (assume @p360 (forall @t13 (=> @t40 (= (tptp.relation_image @t1 @t97) @t204)))) % 0.51/1.00 (assume @p361 (forall @t6 (=> @t281 (=> @t494 (= @t492 @t1))))) % 0.51/1.00 (assume @p362 (forall @t122 (=> @t497 (=> (tptp.subset @t496 @t2) @t495)))) % 0.51/1.00 (assume @p363 (forall @t13 (=> @t158 (forall @t11 (=> @t116 (= (tptp.subset_intersection2 @t57 @t2 @t182) @t2)))))) % 0.51/1.00 (assume @p364 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (= @t498 (tptp.relation_image @t2 @t204))))))) % 0.51/1.00 (assume @p365 (forall @t45 (=> @t42 (= (tptp.in @t1 @t499) (exists @t100 (and (tptp.in @t76 @t196) (tptp.in (tptp.ordered_pair @t1 @t76) @t41) @t91)))))) % 0.51/1.00 (assume @p366 (forall @t6 (=> @t84 (tptp.subset @t491 @t123)))) % 0.51/1.00 (assume @p367 (forall @t122 (=> @t497 (=> @t86 @t495)))) % 0.51/1.00 (assume @p368 (forall @t45 (=> @t42 (= (tptp.in @t1 @t500) (and @t296 (tptp.in @t1 @t214)))))) % 0.51/1.00 (assume @p369 (forall @t6 (=> @t84 (not (and @t156 @t494 (= @t491 tptp.empty_set)))))) % 0.51/1.00 (assume @p370 (forall @t45 (=> @t42 (=> @t86 (tptp.subset (tptp.relation_inverse_image @t41 @t1) @t499))))) % 0.51/1.00 (assume @p371 (forall @t6 (=> @t281 (=> @t33 (tptp.finite @t490))))) % 0.51/1.00 (assume @p372 (forall @t13 (=> @t158 (forall @t11 (=> @t116 (= @t159 @t212)))))) % 0.51/1.00 (assume @p373 (forall @t6 (=> @t84 (= @t501 (tptp.relation_dom_restriction @t105 @t1))))) % 0.51/1.00 (assume @p374 (forall @t6 (tptp.subset @t66 @t1))) % 0.51/1.00 (assume @p375 (forall @t13 (=> @t33 (forall @t11 (=> @t230 (not (and @t172 (forall @t106 (not (and @t150 (forall @t100 (=> (and @t91 @t162) @t389)))))))))))) % 0.51/1.00 (assume @p376 (forall @t6 (=> @t84 (= @t501 (tptp.relation_rng_restriction @t1 @t502))))) % 0.51/1.00 (assume @p377 (forall @t45 (=> @t42 (=> (tptp.in @t1 (tptp.relation_field @t500)) (and @t504 @t5))))) % 0.51/1.00 (assume @p378 (forall @t45 (=> (and @t86 @t505) (tptp.subset @t1 @t301)))) % 0.51/1.00 (assume @p379 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.51/1.00 (assume @p380 (forall @t6 (=> @t5 @t506))) % 0.51/1.00 (assume @p381 (forall @t45 (=> (and @t86 @t361) @t505))) % 0.51/1.00 (assume @p382 (= @t362 (tptp.singleton tptp.empty_set))) % 0.51/1.00 (assume @p383 (forall @t45 (=> @t42 (=> @t508 (and @t507 (tptp.in @t2 @t196)))))) % 0.51/1.00 (assume @p384 (forall @t6 (=> @t84 (and (tptp.subset @t509 @t163) (tptp.subset @t509 @t1))))) % 0.51/1.00 (assume @p385 (forall @t6 (=> @t281 (forall @t106 (=> @t220 (= @t512 (and @t507 (tptp.in @t510 @t123)))))))) % 0.51/1.00 (assume @p386 (forall @t122 (=> @t514 (forall @t98 (=> (and (tptp.relation @t88) (tptp.function @t88)) (=> @t78 (or @t133 (= (tptp.apply (tptp.relation_composition @t76 @t88) @t41) (tptp.apply @t88 @t513))))))))) % 0.51/1.00 (assume @p387 (forall @t13 (=> @t38 (forall @t11 (=> @t29 (=> @t8 @t5)))))) % 0.51/1.00 (assume @p388 (forall @t13 (=> @t40 (tptp.subset @t1 (tptp.cartesian_product2 @t97 @t204))))) % 0.51/1.00 (assume @p389 (forall @t45 (=> @t42 (tptp.subset (tptp.fiber (tptp.relation_restriction @t41 @t1) @t2) (tptp.fiber @t41 @t2))))) % 0.51/1.00 (assume @p390 (forall @t6 (=> @t281 (forall @t106 (=> @t220 (=> @t512 (= (tptp.apply @t511 @t1) (tptp.apply @t2 @t510)))))))) % 0.51/1.00 (assume @p391 (forall @t13 (=> @t158 (forall @t11 (=> @t116 (= (tptp.subset_difference @t57 @t182 @t212) @t2)))))) % 0.51/1.00 (assume @p392 (forall @t45 (=> (tptp.relation_of2_as_subset @t41 @t2 @t1) (= (forall @t100 (not (and @t91 (forall @t98 (not @t92))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t41) @t2))))) % 0.51/1.00 (assume @p393 (forall @t6 (=> @t84 (=> @t515 (tptp.reflexive @t501))))) % 0.51/1.00 (assume @p394 (forall @t6 (=> @t281 (forall @t106 (=> @t220 (=> (tptp.in @t1 @t123) (= (tptp.apply (tptp.relation_composition @t2 @t41) @t1) (tptp.apply @t41 (tptp.apply @t2 @t1))))))))) % 0.51/1.00 (assume @p395 (forall @t13 (=> (and @t63 @t69 @t222 @t223) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (tptp.below @t1 @t67 @t2)))))))) % 0.51/1.00 (assume @p396 (forall @t6 (=> @t29 (=> @t5 @t32)))) % 0.51/1.00 (assume @p397 (forall @t45 (=> @t135 (= (forall @t100 (not (and @t91 (forall @t98 (not (tptp.in @t118 @t41)))))) (= @t243 @t2))))) % 0.51/1.00 (assume @p398 (forall @t6 (=> @t84 (=> @t516 (tptp.connected @t501))))) % 0.51/1.00 (assume @p399 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (not (and @t289 @t231 @t4))))))) % 0.51/1.00 (assume @p400 (forall @t6 (=> @t84 (=> @t517 (tptp.transitive @t501))))) % 0.51/1.00 (assume @p401 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> @t86 (and (tptp.subset @t97 @t123) (tptp.subset @t204 @t124)))))))) % 0.51/1.00 (assume @p402 (forall @t6 (=> @t84 (=> @t518 (tptp.antisymmetric @t501))))) % 0.51/1.00 (assume @p403 (forall @t6 (=> @t84 (=> @t521 (and @t520 @t519))))) % 0.51/1.00 (assume @p404 (forall @t13 (=> @t103 (=> (tptp.finite @t97) (tptp.finite @t204))))) % 0.51/1.00 (assume @p405 (forall @t13 (=> (and @t63 @t61 @t60) (forall @t11 (=> @t59 (forall @t106 (=> @t58 (=> (and @t178 (tptp.below @t1 @t41 @t2)) @t139)))))))) % 0.51/1.00 (assume @p406 (forall @t13 (exists @t11 (and @t84 @t521)))) % 0.51/1.00 (assume @p407 (forall @t45 (=> @t86 (tptp.subset (tptp.set_intersection2 @t1 @t41) @t301)))) % 0.51/1.00 (assume @p408 (forall @t13 (=> @t171 (not (and (forall @t11 (not (and @t3 @t133))) (forall @t11 (=> @t281 (not (and @t475 (forall @t106 (=> @t78 (tptp.in @t474 @t41)))))))))))) % 0.51/1.00 (assume @p409 (forall @t6 (=> @t86 (= @t66 @t1)))) % 0.51/1.00 (assume @p410 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t213 @t278)))))) % 0.51/1.00 (assume @p411 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.51/1.00 (assume @p412 (forall @t6 (=> @t506 (or @t170 @t5)))) % 0.51/1.00 (assume @p413 (forall @t6 (=> (forall @t106 (= @t78 @t150)) @t87))) % 0.51/1.00 (assume @p414 (forall @t13 (tptp.reflexive @t164))) % 0.51/1.00 (assume @p415 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 0.51/1.00 (assume @p416 (forall @t45 (=> @t42 (=> @t508 (and @t504 (tptp.in @t2 @t503)))))) % 0.51/1.00 (assume @p417 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (= @t207 @t280)))))) % 0.51/1.00 (assume @p418 (forall @t13 (=> (forall @t11 (=> @t3 (and @t29 @t85))) @t32))) % 0.51/1.00 (assume @p419 (forall @t6 (=> @t84 (=> @t522 (tptp.well_founded_relation @t501))))) % 0.51/1.00 (assume @p420 (forall @t6 (=> @t29 (not (and @t86 @t156 (forall @t106 (=> @t338 (not (and @t78 (forall @t100 (=> @t345 (=> @t155 (tptp.ordinal_subset @t41 @t76))))))))))))) % 0.51/1.00 (assume @p421 (forall @t6 (=> @t84 (=> @t290 @t519)))) % 0.51/1.00 (assume @p422 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (= @t5 (tptp.ordinal_subset @t143 @t2))))))) % 0.51/1.00 (assume @p423 (forall @t45 (=> @t86 (tptp.subset (tptp.set_difference @t1 @t41) @t302)))) % 0.51/1.00 (assume @p424 (forall @t122 (=> (= @t209 @t79) (and @t482 @t167)))) % 0.51/1.00 (assume @p425 (forall @t6 (=> @t281 (= @t83 (and @t475 (forall @t106 (=> @t78 (= @t474 @t41)))))))) % 0.51/1.00 (assume @p426 (forall @t6 (=> @t3 (= (tptp.apply @t82 @t2) @t2)))) % 0.51/1.00 (assume @p427 (forall @t6 (tptp.subset @t202 @t1))) % 0.51/1.00 (assume @p428 (forall @t13 (=> @t40 (and (= @t204 (tptp.relation_dom @t216)) (= @t97 (tptp.relation_rng @t216)))))) % 0.51/1.00 (assume @p429 (forall @t45 (= (tptp.subset @t53 @t41) (and @t296 @t181)))) % 0.51/1.00 (assume @p430 (forall @t6 (=> @t84 (=> (and @t290 (tptp.subset @t1 @t163)) @t520)))) % 0.51/1.00 (assume @p431 (forall @t6 (= @t523 @t55))) % 0.51/1.00 (assume @p432 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.51/1.00 (assume @p433 (forall @t45 (not (and @t5 @t181 @t78)))) % 0.51/1.00 (assume @p434 (forall @t6 (= @t297 @t86))) % 0.51/1.00 (assume @p435 (forall @t13 (tptp.transitive @t164))) % 0.51/1.00 (assume @p436 (forall @t6 (and (not (and @t525 (forall @t106 (not @t524)))) (not (and (exists @t106 @t524) @t221))))) % 0.51/1.00 (assume @p437 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t132))) % 0.51/1.00 (assume @p438 (forall @t6 (= (tptp.set_difference @t55 @t2) @t202))) % 0.51/1.00 (assume @p439 (forall @t13 (=> @t32 (= @t206 (forall @t11 (=> @t29 (=> @t3 (tptp.in @t452 @t1)))))))) % 0.51/1.00 (assume @p440 (forall @t13 (=> @t32 (and (not (and (not @t206) (forall @t11 (=> @t29 (not @t526))))) (not (and (exists @t11 (and @t29 @t526)) @t206)))))) % 0.51/1.00 (assume @p441 (forall @t6 (=> @t25 (forall @t106 (=> @t72 (= @t528 (tptp.subset @t2 @t527))))))) % 0.51/1.00 (assume @p442 (forall @t13 (=> @t282 (forall @t11 (=> @t148 (=> (forall @t106 (=> @t115 (=> @t150 (tptp.closed_subset @t41 @t1)))) (tptp.closed_subset (tptp.meet_of_subsets @t57 @t2) @t1))))))) % 0.51/1.00 (assume @p443 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (tptp.subset @t529 @t97)))))) % 0.51/1.00 (assume @p444 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (tptp.subset @t160 @t2)))))) % 0.51/1.00 (assume @p445 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (forall @t106 (=> (tptp.in @t41 @t57) (= (tptp.in @t41 @t114) (forall @t100 (=> @t478 (=> @t530 @t154))))))))))) % 0.51/1.00 (assume @p446 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (tptp.subset @t498 @t124)))))) % 0.51/1.00 (assume @p447 (forall @t6 (=> @t86 (= @t2 @t523)))) % 0.51/1.00 (assume @p448 (forall @t122 (=> @t514 (=> @t172 (forall @t98 (= (tptp.in @t88 (tptp.relation_inverse_image @t76 @t41)) (and @t104 (tptp.in (tptp.apply @t76 @t88) @t41)))))))) % 0.51/1.00 (assume @p449 (forall @t13 (=> @t282 (forall @t11 (=> @t116 (exists @t106 (and @t479 (forall @t100 (=> @t478 (= @t99 @t530))) (= @t114 (tptp.meet_of_subsets @t57 @t41))))))))) % 0.51/1.00 (assume @p450 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> (tptp.subset @t204 @t123) (= @t529 @t97))))))) % 0.51/1.00 (assume @p451 (forall @t6 (=> @t230 @t481))) % 0.51/1.00 (assume @p452 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (=> (tptp.subset @t97 @t124) (= (tptp.relation_rng @t252) @t204))))))) % 0.51/1.00 (assume @p453 (forall @t6 (=> @t230 (=> @t172 (= (tptp.subset_difference @t1 @t192 @t244) @t484))))) % 0.51/1.00 (assume @p454 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (tptp.subset @t2 @t114)))))) % 0.51/1.00 (assume @p455 (forall @t6 (=> @t230 (=> @t172 (= @t485 (tptp.subset_difference @t1 @t192 @t246)))))) % 0.51/1.00 (assume @p456 (forall @t6 (= (tptp.set_difference @t1 @t202) @t66))) % 0.51/1.00 (assume @p457 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t220 (=> @t219 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t41)))))))))) % 0.51/1.00 (assume @p458 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.51/1.00 (assume @p459 (forall @t45 (=> (and @t5 @t531) (tptp.element @t1 @t41)))) % 0.51/1.00 (assume @p460 (forall @t13 (=> @t32 (tptp.connected @t164)))) % 0.51/1.00 (assume @p461 (forall @t6 (and (not (and @t525 (forall @t106 (not @t532)))) (not (and (exists @t106 @t532) @t221))))) % 0.51/1.00 (assume @p462 (forall @t13 (=> @t156 (forall @t11 (=> @t25 (forall @t106 (=> (tptp.element @t41 @t1) (=> @t179 (tptp.in @t41 @t208))))))))) % 0.51/1.00 (assume @p463 (forall @t13 (=> @t282 (forall @t11 (=> @t116 @t286))))) % 0.51/1.00 (assume @p464 (forall @t13 (=> @t117 (forall @t11 (=> @t116 (and (=> @t213 @t533) (=> (and @t149 @t533) @t213))))))) % 0.51/1.00 (assume @p465 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t220 (=> @t219 (and (=> @t194 @t515) (=> @t120 @t517) (=> @t119 @t516) (=> @t108 @t518) (=> @t173 @t522)))))))))) % 0.51/1.00 (assume @p466 (forall @t13 (=> @t103 (=> @t49 (forall @t11 (=> @t281 (= (= @t2 @t232) (and (= @t123 @t204) (forall @t81 (and (=> @t534 @t203) (=> @t203 @t534))))))))))) % 0.51/1.00 (assume @p467 (forall @t45 (=> @t72 (not (and (tptp.in @t2 @t527) @t181))))) % 0.51/1.00 (assume @p468 (forall @t13 (=> @t40 (forall @t11 (=> @t84 (forall @t106 (=> @t220 (=> (and @t195 @t219) @t290)))))))) % 0.51/1.00 (assume @p469 (forall @t13 (=> @t103 (=> @t49 (and (= @t204 (tptp.relation_dom @t232)) (= @t97 (tptp.relation_rng @t232))))))) % 0.51/1.00 (assume @p470 (forall @t13 (=> @t282 (forall @t11 (=> (tptp.top_str @t2) (forall @t106 (=> @t115 (forall @t100 (=> (tptp.element @t76 (tptp.powerset (tptp.the_carrier @t2))) (and (=> (tptp.open_subset @t76 @t2) (= (tptp.interior @t2 @t76) @t76)) (=> (= (tptp.interior @t1 @t41) @t41) (tptp.open_subset @t41 @t1)))))))))))) % 0.51/1.00 (assume @p471 (forall @t13 (=> @t40 (=> (forall @t95 @t293) @t132)))) % 0.51/1.00 (assume @p472 (forall @t6 (=> @t281 (=> (and @t300 (tptp.in @t1 @t124)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t535 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t535 @t2) @t1))))))) % 0.51/1.00 (assume @p473 (forall @t45 (not (and @t5 @t531 (tptp.empty @t41))))) % 0.51/1.00 (assume @p474 (forall @t13 (=> @t262 (forall @t11 (=> @t148 (not (and @t224 @t133))))))) % 0.51/1.00 (assume @p475 (forall @t13 (=> @t40 (= @t173 (tptp.is_well_founded_in @t1 @t107))))) % 0.51/1.00 (assume @p476 (forall @t13 (tptp.antisymmetric @t164))) % 0.51/1.00 (assume @p477 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.51/1.00 (assume @p478 (forall @t6 (not (and @t86 @t7)))) % 0.51/1.00 (assume @p479 (forall @t13 (=> @t103 (=> @t49 (tptp.one_to_one @t232))))) % 0.51/1.00 (assume @p480 (forall @t45 (=> (and @t86 @t528) (tptp.disjoint @t1 @t41)))) % 0.51/1.00 (assume @p481 (forall @t13 (=> @t40 (=> (or @t537 @t536) @t132)))) % 0.51/1.00 (assume @p482 (forall @t13 (=> @t40 (= @t537 @t536)))) % 0.51/1.00 (assume @p483 (forall @t6 (= (= (tptp.set_difference @t1 @t294) @t1) @t4))) % 0.51/1.00 (assume @p484 (forall @t6 (=> @t281 (forall @t106 (=> @t220 (= (= @t2 @t298) (and (= @t123 (tptp.set_intersection2 @t197 @t1)) (forall @t100 (=> (tptp.in @t76 @t123) (= (tptp.apply @t2 @t76) @t218)))))))))) % 0.51/1.00 (assume @p485 (forall @t13 (= (tptp.unordered_pair @t1 @t1) @t142))) % 0.51/1.00 (assume @p486 (forall @t13 (=> @t22 @t132))) % 0.51/1.00 (assume @p487 (forall @t122 (=> @t514 (=> @t78 (or @t133 (tptp.in @t513 @t496)))))) % 0.51/1.00 (assume @p488 (forall @t13 (=> @t32 (tptp.well_founded_relation @t164)))) % 0.51/1.00 (assume @p489 (forall @t6 (=> (tptp.subset @t142 @t294) @t87))) % 0.51/1.00 (assume @p490 (forall @t45 (=> @t220 (=> @t299 @t538)))) % 0.51/1.00 (assume @p491 (forall @t13 (and (= (tptp.relation_dom @t82) @t1) (= (tptp.relation_rng @t82) @t1)))) % 0.51/1.00 (assume @p492 (forall @t45 (=> @t220 (=> @t3 @t538)))) % 0.51/1.00 (assume @p493 (forall @t122 (=> @t365 (= (tptp.in @t209 (tptp.relation_composition (tptp.identity_relation @t41) @t76)) (and @t296 (tptp.in @t209 @t76)))))) % 0.51/1.00 (assume @p494 (forall @t6 (not (and @t5 @t170)))) % 0.51/1.00 (assume @p495 (forall @t6 (and (= (tptp.pair_first @t209) @t1) (= (tptp.pair_second @t209) @t2)))) % 0.51/1.00 (assume @p496 (forall @t6 (not (and @t5 (forall @t106 (not (and @t150 (forall @t100 (not (and @t91 @t99)))))))))) % 0.51/1.00 (assume @p497 (forall @t13 (=> @t32 (tptp.well_ordering @t164)))) % 0.51/1.00 (assume @p498 (forall @t6 (tptp.subset @t1 @t55))) % 0.51/1.00 (assume @p499 (forall @t6 (= @t221 (= @t202 @t1)))) % 0.51/1.00 (assume @p500 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_dom @t489)) (and @t5 @t507))))) % 0.51/1.00 (assume @p501 (forall @t6 (=> @t84 (tptp.subset @t502 @t2)))) % 0.51/1.00 (assume @p502 (forall @t6 (not (and @t22 @t231 @t170)))) % 0.51/1.00 (assume @p503 (forall @t45 (=> @t220 (= @t508 (and @t507 (= @t2 @t510)))))) % 0.51/1.00 (assume @p504 (forall @t13 (=> @t40 (= (tptp.well_orders @t1 @t107) @t195)))) % 0.51/1.00 (assume @p505 (forall @t45 (=> (and @t86 @t185) (tptp.subset (tptp.set_union2 @t1 @t41) @t2)))) % 0.51/1.00 (assume @p506 (forall @t45 (=> @t539 @t87))) % 0.51/1.00 (assume @p507 (forall @t6 (=> @t84 (= (tptp.relation_dom @t502) @t493)))) % 0.51/1.00 (assume @p508 (forall @t6 (=> @t84 (= @t502 (tptp.relation_composition @t82 @t2))))) % 0.51/1.00 (assume @p509 (forall @t6 (=> @t84 (tptp.subset (tptp.relation_rng @t502) @t124)))) % 0.51/1.00 (assume @p510 (forall @t13 (= (tptp.union @t24) @t1))) % 0.51/1.00 (assume @p511 (forall @t122 (=> @t514 (=> @t361 (or (and @t133 @t156) (and @t235 (tptp.quasi_total @t76 @t1 @t41) (tptp.relation_of2_as_subset @t76 @t1 @t41))))))) % 0.51/1.00 (assume @p512 (forall @t13 (exists @t11 (and @t5 @t488 (forall @t106 (not (and @t150 (forall @t100 (not (and @t91 (forall @t98 (=> (tptp.subset @t88 @t41) @t121)))))))) @t486)))) % 0.51/1.00 (assume @p513 (forall @t45 (=> @t539 @t139))) % 0.51/1.00 (step @p514 :rule quant-merge-prenex :args ((= (forall @t6 @t555) @t553))) % 0.51/1.00 (step @p515 :rule alpha_equiv :args (@t556 (@list @t540) @t557)) % 0.51/1.00 (step @p516 :rule refl :args (@t550)) % 0.51/1.00 (step @p517 :rule refl :args (@t551)) % 0.51/1.00 (step @p518 :rule nary_cong :premises (@p517 @p516 @p515) :args (@t558)) % 0.51/1.00 (step @p519 :rule quant-miniscope-or :args ((= @t555 @t558))) % 0.51/1.00 (step @p520 :rule trans :premises (@p519 @p518)) % 0.51/1.00 (step @p521 :rule symm :premises (@p520)) % 0.51/1.00 (step @p522 :rule cong :premises (@p521) :args ((forall @t6 @t562))) % 0.51/1.00 (step @p523 :rule trans :premises (@p522 @p514)) % 0.51/1.00 (step @p524 :rule aci_norm :args ((= (or @t563 @t561) @t562))) % 0.51/1.00 (step @p525 :rule refl :args (@t561)) % 0.51/1.00 (step @p526 :rule bool-and-de-morgan :args (@t158 @t148 true)) % 0.51/1.00 (step @p527 :rule nary_cong :premises (@p526 @p525) :args ((or @t564 @t561))) % 0.51/1.00 (step @p528 :rule trans :premises (@p527 @p524)) % 0.51/1.00 (step @p529 :rule bool-impl-elim :args (@t337 @t561)) % 0.51/1.00 (step @p530 :rule trans :premises (@p529 @p528)) % 0.51/1.00 (step @p531 :rule cong :premises (@p530) :args ((forall @t6 (=> @t337 @t561)))) % 0.51/1.00 (step @p532 :rule trans :premises (@p531 @p523)) % 0.51/1.00 (step @p533 :rule bool-impl-true2 :args (@t560)) % 0.51/1.00 (step @p534 :rule exists-elim :args ((= (exists @t100 @t559) @t560))) % 0.51/1.00 (step @p535 :rule bool-double-not-elim :args (@t464)) % 0.51/1.00 (step @p536 :rule refl :args (@t548)) % 0.51/1.00 (step @p537 :rule nary_cong :premises (@p536 @p535) :args ((and @t548 (not @t565)))) % 0.51/1.00 (step @p538 :rule bool-or-de-morgan :args (@t547 @t565 false)) % 0.51/1.00 (step @p539 :rule trans :premises (@p538 @p537)) % 0.51/1.00 (step @p540 :rule refl :args (@t121)) % 0.51/1.00 (step @p541 :rule cong :premises (@p540 @p539) :args (@t566)) % 0.51/1.00 (step @p542 :rule cong :premises (@p541) :args ((forall @t98 @t566))) % 0.51/1.00 (step @p543 :rule aci_norm :args ((= (or @t565 false) @t565))) % 0.51/1.00 (step @p544 :rule evaluate :args ((not true))) % 0.51/1.00 (step @p545 :rule eq-refl :args (@t88)) % 0.51/1.00 (step @p546 :rule cong :premises (@p545) :args (@t567)) % 0.51/1.00 (step @p547 :rule trans :premises (@p546 @p544)) % 0.51/1.00 (step @p548 :rule refl :args (@t565)) % 0.51/1.00 (step @p549 :rule nary_cong :premises (@p548 @p547) :args (@t568)) % 0.51/1.00 (step @p550 :rule trans :premises (@p549 @p543)) % 0.51/1.00 (step @p551 :rule quant-var-elim-eq :args ((= (forall @t225 (or (not @t369) @t570 @t569)) @t568))) % 0.51/1.00 (step @p552 :rule refl :args (@t569)) % 0.51/1.00 (step @p553 :rule refl :args (@t570)) % 0.51/1.00 (step @p554 :rule eq-symm :args (@t88 @t174)) % 0.51/1.00 (step @p555 :rule cong :premises (@p554) :args (@t569)) % 0.51/1.00 (step @p556 :rule nary_cong :premises (@p555 @p553 @p552) :args (@t571)) % 0.51/1.00 (step @p557 :rule aci_norm :args ((= @t572 @t571))) % 0.51/1.00 (step @p558 :rule trans :premises (@p557 @p556)) % 0.51/1.00 (step @p559 :rule cong :premises (@p558) :args (@t573)) % 0.51/1.00 (step @p560 :rule trans :premises (@p559 @p551)) % 0.51/1.00 (step @p561 :rule trans :premises (@p560 @p550)) % 0.51/1.00 (step @p562 :rule refl :args (@t547)) % 0.51/1.00 (step @p563 :rule nary_cong :premises (@p562 @p561) :args (@t574)) % 0.51/1.00 (step @p564 :rule quant-miniscope-or :args ((= (forall @t225 @t575) @t574))) % 0.51/1.00 (step @p565 :rule aci_norm :args ((= @t576 @t575))) % 0.51/1.00 (step @p566 :rule cong :premises (@p565) :args ((forall @t225 @t576))) % 0.51/1.00 (step @p567 :rule trans :premises (@p566 @p564)) % 0.51/1.00 (step @p568 :rule trans :premises (@p567 @p563)) % 0.51/1.00 (step @p569 :rule bool-double-not-elim :args (@t547)) % 0.51/1.00 (step @p570 :rule nary_cong :premises (@p553 @p552 @p569) :args (@t578)) % 0.51/1.00 (step @p571 :rule aci_norm :args ((= (or @t570 (or @t569 @t577)) @t578))) % 0.51/1.00 (step @p572 :rule trans :premises (@p571 @p570)) % 0.51/1.00 (step @p573 :rule bool-and-de-morgan :args (@t371 @t548 true)) % 0.51/1.00 (step @p574 :rule nary_cong :premises (@p553 @p573) :args ((or @t570 (not (and @t371 @t548))))) % 0.51/1.00 (step @p575 :rule bool-and-de-morgan :args (@t428 @t371 (and @t548))) % 0.51/1.00 (step @p576 :rule trans :premises (@p575 @p574)) % 0.51/1.00 (step @p577 :rule trans :premises (@p576 @p572)) % 0.51/1.00 (step @p578 :rule cong :premises (@p577) :args (@t580)) % 0.51/1.00 (step @p579 :rule trans :premises (@p578 @p568)) % 0.51/1.00 (step @p580 :rule cong :premises (@p579) :args (@t581)) % 0.51/1.00 (step @p581 :rule exists-elim :args ((= (exists @t225 @t579) @t581))) % 0.51/1.00 (step @p582 :rule trans :premises (@p581 @p580)) % 0.51/1.00 (step @p583 :rule refl :args (@t542)) % 0.51/1.00 (step @p584 :rule bool-double-not-elim :args (@t543)) % 0.51/1.00 (step @p585 :rule nary_cong :premises (@p584 @p583) :args ((and (not @t582) @t542))) % 0.51/1.00 (step @p586 :rule bool-or-de-morgan :args (@t582 @t541 false)) % 0.51/1.00 (step @p587 :rule trans :premises (@p586 @p585)) % 0.51/1.00 (step @p588 :rule refl :args (@t544)) % 0.51/1.00 (step @p589 :rule refl :args (@t546)) % 0.51/1.00 (step @p590 :rule nary_cong :premises (@p589 @p588 @p587) :args (@t585)) % 0.51/1.00 (step @p591 :rule aci_norm :args ((= (or @t546 (or @t544 @t584)) @t585))) % 0.51/1.00 (step @p592 :rule bool-and-de-morgan :args (@t424 @t583 true)) % 0.51/1.00 (step @p593 :rule nary_cong :premises (@p589 @p592) :args ((or @t546 (not (and @t424 @t583))))) % 0.51/1.00 (step @p594 :rule bool-and-de-morgan :args (@t545 @t424 (and @t583))) % 0.51/1.00 (step @p595 :rule trans :premises (@p594 @p593)) % 0.51/1.00 (step @p596 :rule trans :premises (@p595 @p591)) % 0.51/1.00 (step @p597 :rule trans :premises (@p596 @p590)) % 0.51/1.00 (step @p598 :rule cong :premises (@p597) :args (@t587)) % 0.51/1.00 (step @p599 :rule cong :premises (@p598) :args (@t588)) % 0.51/1.00 (step @p600 :rule exists-elim :args ((= (exists @t408 @t586) @t588))) % 0.51/1.00 (step @p601 :rule trans :premises (@p600 @p599)) % 0.51/1.00 (step @p602 :rule aci_norm :args ((= (or @t582 false @t541) @t583))) % 0.51/1.00 (step @p603 :rule refl :args (@t541)) % 0.51/1.00 (step @p604 :rule eq-refl :args (@t352)) % 0.51/1.00 (step @p605 :rule cong :premises (@p604) :args (@t589)) % 0.51/1.00 (step @p606 :rule trans :premises (@p605 @p544)) % 0.51/1.00 (step @p607 :rule refl :args (@t582)) % 0.51/1.00 (step @p608 :rule nary_cong :premises (@p607 @p606 @p603) :args (@t590)) % 0.51/1.00 (step @p609 :rule trans :premises (@p608 @p602)) % 0.51/1.00 (step @p610 :rule quant-var-elim-eq :args ((= (forall @t351 (or (not @t401) @t593 @t592 @t400)) @t590))) % 0.51/1.00 (step @p611 :rule refl :args (@t400)) % 0.51/1.00 (step @p612 :rule refl :args (@t592)) % 0.51/1.00 (step @p613 :rule refl :args (@t593)) % 0.51/1.00 (step @p614 :rule eq-symm :args (@t352 @t348)) % 0.51/1.00 (step @p615 :rule cong :premises (@p614) :args (@t592)) % 0.51/1.00 (step @p616 :rule nary_cong :premises (@p615 @p613 @p612 @p611) :args (@t594)) % 0.51/1.00 (step @p617 :rule aci_norm :args ((= @t595 @t594))) % 0.51/1.00 (step @p618 :rule trans :premises (@p617 @p616)) % 0.51/1.00 (step @p619 :rule cong :premises (@p618) :args ((forall @t351 @t595))) % 0.51/1.00 (step @p620 :rule trans :premises (@p619 @p610)) % 0.51/1.00 (step @p621 :rule trans :premises (@p620 @p609)) % 0.51/1.00 (step @p622 :rule aci_norm :args ((= (or @t593 (or @t592 @t400)) @t595))) % 0.51/1.00 (step @p623 :rule bool-impl-elim :args (@t591 @t400)) % 0.51/1.00 (step @p624 :rule nary_cong :premises (@p613 @p623) :args ((or @t593 @t596))) % 0.51/1.00 (step @p625 :rule trans :premises (@p624 @p622)) % 0.51/1.00 (step @p626 :rule bool-impl-elim :args (@t403 @t596)) % 0.51/1.00 (step @p627 :rule trans :premises (@p626 @p625)) % 0.51/1.00 (step @p628 :rule cong :premises (@p627) :args ((forall @t351 (=> @t403 @t596)))) % 0.51/1.00 (step @p629 :rule trans :premises (@p628 @p621)) % 0.51/1.00 (step @p630 :rule refl :args (@t400)) % 0.51/1.00 (step @p631 :rule eq-symm :args (@t348 @t352)) % 0.51/1.00 (step @p632 :rule cong :premises (@p631 @p630) :args (@t402)) % 0.51/1.00 (step @p633 :rule refl :args (@t403)) % 0.51/1.00 (step @p634 :rule cong :premises (@p633 @p632) :args (@t404)) % 0.51/1.00 (step @p635 :rule cong :premises (@p634) :args (@t405)) % 0.51/1.00 (step @p636 :rule trans :premises (@p635 @p629)) % 0.51/1.00 (step @p637 :rule refl :args (@t424)) % 0.51/1.00 (step @p638 :rule eq-symm :args (@t406 @t88)) % 0.51/1.00 (step @p639 :rule nary_cong :premises (@p638 @p637 @p636) :args (@t425)) % 0.51/1.00 (step @p640 :rule cong :premises (@p639) :args (@t426)) % 0.51/1.00 (step @p641 :rule trans :premises (@p640 @p601)) % 0.51/1.00 (step @p642 :rule eq-symm :args (@t174 @t88)) % 0.51/1.00 (step @p643 :rule refl :args (@t428)) % 0.51/1.00 (step @p644 :rule nary_cong :premises (@p643 @p642 @p641) :args (@t429)) % 0.51/1.00 (step @p645 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% 0.51/1.00 (step @p883 :rule trans :premises (@p882 @p881)) % 0.51/1.00 (step @p884 :rule cong :premises (@p883) :args ((forall @t6 (=> @t337 @t709)))) % 0.51/1.00 (step @p885 :rule trans :premises (@p884 @p877)) % 0.51/1.00 (step @p886 :rule exists-elim :args ((= (exists @t100 @t707) @t708))) % 0.51/1.00 (step @p887 :rule refl :args (@t677)) % 0.51/1.00 (step @p888 :rule bool-double-not-elim :args (@t334)) % 0.51/1.00 (step @p889 :rule nary_cong :premises (@p888 @p887) :args ((and (not @t711) @t677))) % 0.51/1.00 (step @p890 :rule bool-or-de-morgan :args (@t711 @t676 false)) % 0.51/1.00 (step @p891 :rule trans :premises (@p890 @p889)) % 0.51/1.00 (step @p892 :rule refl :args (@t678)) % 0.51/1.00 (step @p893 :rule refl :args (@t679)) % 0.51/1.00 (step @p894 :rule nary_cong :premises (@p893 @p892 @p891) :args (@t714)) % 0.51/1.00 (step @p895 :rule aci_norm :args ((= (or @t679 (or @t678 @t713)) @t714))) % 0.51/1.00 (step @p896 :rule bool-and-de-morgan :args (@t176 @t712 true)) % 0.51/1.00 (step @p897 :rule nary_cong :premises (@p893 @p896) :args ((or @t679 (not (and @t176 @t712))))) % 0.51/1.00 (step @p898 :rule bool-and-de-morgan :args (@t473 @t176 (and @t712))) % 0.51/1.00 (step @p899 :rule trans :premises (@p898 @p897)) % 0.51/1.00 (step @p900 :rule trans :premises (@p899 @p895)) % 0.51/1.00 (step @p901 :rule trans :premises (@p900 @p894)) % 0.51/1.00 (step @p902 :rule cong :premises (@p901) :args (@t716)) % 0.51/1.00 (step @p903 :rule cong :premises (@p902) :args (@t717)) % 0.51/1.00 (step @p904 :rule exists-elim :args ((= (exists @t388 @t715) @t717))) % 0.51/1.00 (step @p905 :rule trans :premises (@p904 @p903)) % 0.51/1.00 (step @p906 :rule aci_norm :args ((= (or @t711 false @t676) @t712))) % 0.51/1.00 (step @p907 :rule refl :args (@t676)) % 0.51/1.00 (step @p908 :rule eq-refl :args (@t174)) % 0.51/1.00 (step @p909 :rule cong :premises (@p908) :args (@t718)) % 0.51/1.00 (step @p910 :rule trans :premises (@p909 @p544)) % 0.51/1.00 (step @p911 :rule refl :args (@t711)) % 0.51/1.00 (step @p912 :rule nary_cong :premises (@p911 @p910 @p907) :args (@t719)) % 0.51/1.00 (step @p913 :rule trans :premises (@p912 @p906)) % 0.51/1.00 (step @p914 :rule quant-var-elim-eq :args ((= (forall @t313 (or (not @t458) @t721 @t720 @t457)) @t719))) % 0.51/1.00 (step @p915 :rule refl :args (@t457)) % 0.51/1.00 (step @p916 :rule refl :args (@t720)) % 0.51/1.00 (step @p917 :rule refl :args (@t721)) % 0.51/1.00 (step @p918 :rule eq-symm :args (@t174 @t310)) % 0.51/1.00 (step @p919 :rule cong :premises (@p918) :args (@t720)) % 0.51/1.00 (step @p920 :rule nary_cong :premises (@p919 @p917 @p916 @p915) :args (@t722)) % 0.51/1.00 (step @p921 :rule aci_norm :args ((= @t723 @t722))) % 0.51/1.00 (step @p922 :rule trans :premises (@p921 @p920)) % 0.51/1.00 (step @p923 :rule cong :premises (@p922) :args ((forall @t313 @t723))) % 0.51/1.00 (step @p924 :rule trans :premises (@p923 @p914)) % 0.51/1.00 (step @p925 :rule trans :premises (@p924 @p913)) % 0.51/1.00 (step @p926 :rule aci_norm :args ((= (or @t721 (or @t720 @t457)) @t723))) % 0.51/1.00 (step @p927 :rule bool-impl-elim :args (@t453 @t457)) % 0.51/1.00 (step @p928 :rule nary_cong :premises (@p917 @p927) :args ((or @t721 @t724))) % 0.51/1.00 (step @p929 :rule trans :premises (@p928 @p926)) % 0.51/1.00 (step @p930 :rule bool-impl-elim :args (@t326 @t724)) % 0.51/1.00 (step @p931 :rule trans :premises (@p930 @p929)) % 0.51/1.00 (step @p932 :rule cong :premises (@p931) :args ((forall @t313 (=> @t326 @t724)))) % 0.51/1.00 (step @p933 :rule trans :premises (@p932 @p925)) % 0.51/1.00 (step @p934 :rule refl :args (@t457)) % 0.51/1.00 (step @p935 :rule eq-symm :args (@t310 @t174)) % 0.51/1.00 (step @p936 :rule cong :premises (@p935 @p934) :args (@t459)) % 0.51/1.00 (step @p937 :rule refl :args (@t326)) % 0.51/1.00 (step @p938 :rule cong :premises (@p937 @p936) :args (@t460)) % 0.51/1.00 (step @p939 :rule cong :premises (@p938) :args (@t461)) % 0.51/1.00 (step @p940 :rule trans :premises (@p939 @p933)) % 0.51/1.00 (step @p941 :rule refl :args (@t176)) % 0.51/1.00 (step @p942 :rule eq-symm :args (@t387 @t88)) % 0.51/1.00 (step @p943 :rule nary_cong :premises (@p942 @p941 @p940) :args (@t462)) % 0.51/1.00 (step @p944 :rule cong :premises (@p943) :args (@t463)) % 0.51/1.00 (step @p945 :rule trans :premises (@p944 @p905)) % 0.51/1.00 (step @p946 :rule refl :args (@t464)) % 0.51/1.00 (step @p947 :rule nary_cong :premises (@p946 @p945) :args (@t465)) % 0.51/1.00 (step @p948 :rule cong :premises (@p647 @p947) :args (@t466)) % 0.51/1.00 (step @p949 :rule cong :premises (@p948) :args (@t467)) % 0.51/1.00 (step @p950 :rule cong :premises (@p949) :args (@t468)) % 0.51/1.00 (step @p951 :rule trans :premises (@p950 @p886)) % 0.51/1.00 (step @p952 :rule cong :premises (@p951) :args (@t469)) % 0.51/1.00 (step @p953 :rule cong :premises (@p844 @p952) :args (@t470)) % 0.51/1.00 (step @p954 :rule cong :premises (@p953) :args (@t471)) % 0.51/1.00 (step @p955 :rule trans :premises (@p954 @p885)) % 0.51/1.00 (step @p956 :rule cong :premises (@p955) :args (@t472)) % 0.51/1.00 (step @p957 :rule eq_resolve :premises (@p324 @p956)) % 0.51/1.00 (step @p958 false :rule chain_m_resolution :premises (@p957 @p869) :args (false @t702 (@list @t690))) % 0.51/1.00 ) % 0.51/1.00 % SZS output end Proof % 0.51/1.00 % cvc5 exiting %------------------------------------------------------------------------------