%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU339+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:51:26 AM UTC 2026 % Result : Theorem 42.41s 42.67s % Output : Proof 42.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU339+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n014.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:59:43 EDT 2026 % 0.16/0.35 % CPUTime : % 0.39/0.63 %----Proving TF0_NAR, FOF, or CNF % 42.41/42.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 42.41/42.67 --- Run --no-e-matching --full-saturate-quant at 6... % 42.41/42.67 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 42.41/42.67 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 42.41/42.67 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 42.41/42.67 % SZS status Theorem % 42.41/42.67 % SZS output start Proof % 42.41/42.67 ( % 42.41/42.67 (declare-sort $$unsorted 0) % 42.41/42.67 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.centered (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.open_subsets (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.function (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.finite (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.connected (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.empty_set $$unsorted) % 42.41/42.67 (declare-const tptp.empty (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.is_a_cover_of_carrier (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.natural (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.relation (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.compact_top_space (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.closed_subsets (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.transitive (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.omega $$unsorted) % 42.41/42.67 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 42.41/42.67 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 42.41/42.67 (declare-const tptp.top_str (-> $$unsorted Bool)) % 42.41/42.67 (define @t1 () (@var "A" $$unsorted)) % 42.41/42.67 (define @t2 () (@var "B" $$unsorted)) % 42.41/42.67 (define @t3 () (tptp.in @t2 @t1)) % 42.41/42.67 (define @t4 () (not @t3)) % 42.41/42.67 (define @t5 () (tptp.in @t1 @t2)) % 42.41/42.67 (define @t6 () (@list @t1 @t2)) % 42.41/42.67 (define @t7 () (tptp.proper_subset @t2 @t1)) % 42.41/42.67 (define @t8 () (tptp.proper_subset @t1 @t2)) % 42.41/42.67 (define @t9 () (tptp.v1_xcmplx_0 @t2)) % 42.41/42.67 (define @t10 () (tptp.element @t2 @t1)) % 42.41/42.67 (define @t11 () (@list @t2)) % 42.41/42.67 (define @t12 () (tptp.v1_membered @t1)) % 42.41/42.67 (define @t13 () (@list @t1)) % 42.41/42.67 (define @t14 () (tptp.v1_xreal_0 @t2)) % 42.41/42.67 (define @t15 () (tptp.v2_membered @t1)) % 42.41/42.67 (define @t16 () (tptp.v1_rat_1 @t2)) % 42.41/42.67 (define @t17 () (tptp.v3_membered @t1)) % 42.41/42.67 (define @t18 () (tptp.v1_int_1 @t2)) % 42.41/42.67 (define @t19 () (tptp.v4_membered @t1)) % 42.41/42.67 (define @t20 () (tptp.natural @t2)) % 42.41/42.67 (define @t21 () (tptp.v5_membered @t1)) % 42.41/42.67 (define @t22 () (tptp.empty @t1)) % 42.41/42.67 (define @t23 () (tptp.v1_membered @t2)) % 42.41/42.67 (define @t24 () (tptp.powerset @t1)) % 42.41/42.67 (define @t25 () (tptp.element @t2 @t24)) % 42.41/42.67 (define @t26 () (tptp.v2_membered @t2)) % 42.41/42.67 (define @t27 () (tptp.v3_membered @t2)) % 42.41/42.67 (define @t28 () (tptp.v4_membered @t2)) % 42.41/42.67 (define @t29 () (tptp.ordinal @t2)) % 42.41/42.67 (define @t30 () (tptp.epsilon_connected @t2)) % 42.41/42.67 (define @t31 () (tptp.epsilon_transitive @t2)) % 42.41/42.67 (define @t32 () (tptp.ordinal @t1)) % 42.41/42.67 (define @t33 () (tptp.finite @t1)) % 42.41/42.67 (define @t34 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 42.41/42.67 (define @t35 () (tptp.preboolean @t1)) % 42.41/42.67 (define @t36 () (tptp.function @t1)) % 42.41/42.67 (define @t37 () (tptp.epsilon_connected @t1)) % 42.41/42.67 (define @t38 () (tptp.epsilon_transitive @t1)) % 42.41/42.67 (define @t39 () (and @t38 @t37)) % 42.41/42.67 (define @t40 () (tptp.relation @t1)) % 42.41/42.67 (define @t41 () (@var "C" $$unsorted)) % 42.41/42.67 (define @t42 () (tptp.relation @t41)) % 42.41/42.67 (define @t43 () (tptp.cartesian_product2 @t1 @t2)) % 42.41/42.67 (define @t44 () (tptp.element @t41 (tptp.powerset @t43))) % 42.41/42.67 (define @t45 () (@list @t1 @t2 @t41)) % 42.41/42.67 (define @t46 () (forall @t45 (=> @t44 @t42))) % 42.41/42.67 (define @t47 () (tptp.natural @t1)) % 42.41/42.67 (define @t48 () (and @t38 @t37 @t32 @t47)) % 42.41/42.67 (define @t49 () (tptp.finite @t2)) % 42.41/42.67 (define @t50 () (tptp.one_to_one @t1)) % 42.41/42.67 (define @t51 () (and @t40 @t36 @t50)) % 42.41/42.67 (define @t52 () (and @t40 @t22 @t36)) % 42.41/42.67 (define @t53 () (and @t38 @t37 @t32)) % 42.41/42.67 (define @t54 () (tptp.unordered_pair @t1 @t2)) % 42.41/42.67 (define @t55 () (tptp.set_union2 @t2 @t1)) % 42.41/42.67 (define @t56 () (tptp.set_union2 @t1 @t2)) % 42.41/42.67 (define @t57 () (tptp.join_commut @t1 @t2 @t41)) % 42.41/42.67 (define @t58 () (tptp.the_carrier @t1)) % 42.41/42.67 (define @t59 () (tptp.element @t41 @t58)) % 42.41/42.67 (define @t60 () (tptp.element @t2 @t58)) % 42.41/42.67 (define @t61 () (tptp.join_semilatt_str @t1)) % 42.41/42.67 (define @t62 () (tptp.join_commutative @t1)) % 42.41/42.67 (define @t63 () (tptp.empty_carrier @t1)) % 42.41/42.67 (define @t64 () (not @t63)) % 42.41/42.67 (define @t65 () (and @t64 @t62 @t61 @t60 @t59)) % 42.41/42.67 (define @t66 () (tptp.set_intersection2 @t2 @t1)) % 42.41/42.67 (define @t67 () (tptp.set_intersection2 @t1 @t2)) % 42.41/42.67 (define @t68 () (tptp.meet_commut @t1 @t2 @t41)) % 42.41/42.67 (define @t69 () (tptp.meet_semilatt_str @t1)) % 42.41/42.67 (define @t70 () (tptp.meet_commutative @t1)) % 42.41/42.67 (define @t71 () (and @t64 @t70 @t69 @t60 @t59)) % 42.41/42.67 (define @t72 () (tptp.subset_intersection2 @t1 @t2 @t41)) % 42.41/42.67 (define @t73 () (tptp.element @t41 @t24)) % 42.41/42.67 (define @t74 () (and @t25 @t73)) % 42.41/42.67 (define @t75 () (tptp.ordinal_subset @t1 @t2)) % 42.41/42.67 (define @t76 () (and @t32 @t29)) % 42.41/42.67 (define @t77 () (@var "D" $$unsorted)) % 42.41/42.67 (define @t78 () (= @t41 @t77)) % 42.41/42.67 (define @t79 () (tptp.in @t41 @t1)) % 42.41/42.67 (define @t80 () (tptp.ordered_pair @t41 @t77)) % 42.41/42.67 (define @t81 () (tptp.in @t80 @t2)) % 42.41/42.67 (define @t82 () (@list @t41 @t77)) % 42.41/42.67 (define @t83 () (tptp.identity_relation @t1)) % 42.41/42.67 (define @t84 () (= @t2 @t83)) % 42.41/42.67 (define @t85 () (tptp.relation @t2)) % 42.41/42.67 (define @t86 () (tptp.subset @t2 @t1)) % 42.41/42.67 (define @t87 () (tptp.subset @t1 @t2)) % 42.41/42.67 (define @t88 () (= @t1 @t2)) % 42.41/42.67 (define @t89 () (@var "E" $$unsorted)) % 42.41/42.67 (define @t90 () (tptp.ordered_pair @t77 @t89)) % 42.41/42.67 (define @t91 () (tptp.in @t90 @t1)) % 42.41/42.67 (define @t92 () (tptp.in @t77 @t2)) % 42.41/42.67 (define @t93 () (tptp.in @t90 @t41)) % 42.41/42.67 (define @t94 () (@list @t77 @t89)) % 42.41/42.67 (define @t95 () (tptp.relation_dom_restriction @t1 @t2)) % 42.41/42.67 (define @t96 () (@list @t2 @t41)) % 42.41/42.67 (define @t97 () (tptp.in @t89 @t2)) % 42.41/42.67 (define @t98 () (tptp.relation_dom @t1)) % 42.41/42.67 (define @t99 () (@list @t89)) % 42.41/42.67 (define @t100 () (tptp.in @t77 @t41)) % 42.41/42.67 (define @t101 () (@list @t77)) % 42.41/42.67 (define @t102 () (tptp.relation_image @t1 @t2)) % 42.41/42.67 (define @t103 () (= @t41 @t102)) % 42.41/42.67 (define @t104 () (and @t40 @t36)) % 42.41/42.67 (define @t105 () (tptp.in @t89 @t1)) % 42.41/42.67 (define @t106 () (tptp.relation_rng_restriction @t1 @t2)) % 42.41/42.67 (define @t107 () (@list @t41)) % 42.41/42.67 (define @t108 () (tptp.relation_field @t1)) % 42.41/42.67 (define @t109 () (tptp.antisymmetric @t1)) % 42.41/42.67 (define @t110 () (tptp.apply @t1 @t77)) % 42.41/42.67 (define @t111 () (tptp.in @t77 @t98)) % 42.41/42.67 (define @t112 () (= @t41 (tptp.relation_inverse_image @t1 @t2))) % 42.41/42.67 (define @t113 () (tptp.powerset @t58)) % 42.41/42.67 (define @t114 () (tptp.element @t89 @t113)) % 42.41/42.67 (define @t115 () (tptp.topstr_closure @t1 @t2)) % 42.41/42.67 (define @t116 () (tptp.element @t41 @t113)) % 42.41/42.67 (define @t117 () (tptp.element @t2 @t113)) % 42.41/42.67 (define @t118 () (tptp.top_str @t1)) % 42.41/42.67 (define @t119 () (tptp.ordered_pair @t89 @t77)) % 42.41/42.67 (define @t120 () (tptp.connected @t1)) % 42.41/42.67 (define @t121 () (tptp.transitive @t1)) % 42.41/42.67 (define @t122 () (tptp.in @t89 @t77)) % 42.41/42.67 (define @t123 () (@list @t1 @t2 @t41 @t77)) % 42.41/42.67 (define @t124 () (tptp.relation_dom @t2)) % 42.41/42.67 (define @t125 () (tptp.relation_rng @t2)) % 42.41/42.67 (define @t126 () (tptp.function @t2)) % 42.41/42.67 (define @t127 () (tptp.in (tptp.ordered_pair @t2 @t77) @t1)) % 42.41/42.67 (define @t128 () (tptp.ordered_pair @t2 @t41)) % 42.41/42.67 (define @t129 () (tptp.in @t128 @t1)) % 42.41/42.67 (define @t130 () (@list @t2 @t41 @t77)) % 42.41/42.67 (define @t131 () (= @t41 tptp.empty_set)) % 42.41/42.67 (define @t132 () (tptp.quasi_total @t41 @t1 @t2)) % 42.41/42.67 (define @t133 () (= @t1 tptp.empty_set)) % 42.41/42.67 (define @t134 () (= @t2 tptp.empty_set)) % 42.41/42.67 (define @t135 () (tptp.relation_dom_as_subset @t1 @t2 @t41)) % 42.41/42.67 (define @t136 () (tptp.relation_of2_as_subset @t41 @t1 @t2)) % 42.41/42.67 (define @t137 () (tptp.the_L_join @t1)) % 42.41/42.67 (define @t138 () (tptp.join @t1 @t2 @t41)) % 42.41/42.67 (define @t139 () (and @t64 @t61)) % 42.41/42.67 (define @t140 () (= @t2 @t41)) % 42.41/42.67 (define @t141 () (= @t1 @t80)) % 42.41/42.67 (define @t142 () (exists @t96 (= @t1 @t128))) % 42.41/42.67 (define @t143 () (tptp.singleton @t1)) % 42.41/42.67 (define @t144 () (tptp.succ @t1)) % 42.41/42.67 (define @t145 () (tptp.the_topology @t1)) % 42.41/42.67 (define @t146 () (tptp.in @t2 @t145)) % 42.41/42.67 (define @t147 () (tptp.union_of_subsets @t58 @t2)) % 42.41/42.67 (define @t148 () (tptp.powerset @t113)) % 42.41/42.67 (define @t149 () (tptp.element @t2 @t148)) % 42.41/42.67 (define @t150 () (tptp.topological_space @t1)) % 42.41/42.67 (define @t151 () (tptp.in @t41 @t2)) % 42.41/42.67 (define @t152 () (tptp.is_reflexive_in @t1 @t2)) % 42.41/42.67 (define @t153 () (tptp.relation_of2 @t41 @t1 @t2)) % 42.41/42.67 (define @t154 () (= @t2 (tptp.set_meet @t1))) % 42.41/42.67 (define @t155 () (tptp.in @t41 @t77)) % 42.41/42.67 (define @t156 () (tptp.in @t77 @t1)) % 42.41/42.67 (define @t157 () (not @t133)) % 42.41/42.67 (define @t158 () (tptp.empty @t58)) % 42.41/42.67 (define @t159 () (tptp.one_sorted_str @t1)) % 42.41/42.67 (define @t160 () (tptp.subset_complement @t58 @t2)) % 42.41/42.67 (define @t161 () (tptp.interior @t1 @t2)) % 42.41/42.67 (define @t162 () (tptp.open_subset @t41 @t1)) % 42.41/42.67 (define @t163 () (tptp.open_subsets @t2 @t1)) % 42.41/42.67 (define @t164 () (= @t77 @t2)) % 42.41/42.67 (define @t165 () (tptp.subset @t41 @t77)) % 42.41/42.67 (define @t166 () (tptp.relation_field @t2)) % 42.41/42.67 (define @t167 () (tptp.inclusion_relation @t1)) % 42.41/42.67 (define @t168 () (tptp.set_meet @t2)) % 42.41/42.67 (define @t169 () (not @t134)) % 42.41/42.67 (define @t170 () (tptp.the_L_meet @t1)) % 42.41/42.67 (define @t171 () (tptp.meet @t1 @t2 @t41)) % 42.41/42.67 (define @t172 () (= @t2 @t77)) % 42.41/42.67 (define @t173 () (tptp.empty_carrier_subset @t1)) % 42.41/42.67 (define @t174 () (tptp.in @t80 @t1)) % 42.41/42.67 (define @t175 () (tptp.empty @t2)) % 42.41/42.67 (define @t176 () (= @t10 @t175)) % 42.41/42.67 (define @t177 () (=> @t22 @t176)) % 42.41/42.67 (define @t178 () (not @t22)) % 42.41/42.67 (define @t179 () (=> @t178 (= @t10 @t3))) % 42.41/42.67 (define @t180 () (and @t179 @t177)) % 42.41/42.67 (define @t181 () (forall @t6 @t180)) % 42.41/42.67 (define @t182 () (forall @t107 (=> @t116 (=> @t151 (tptp.closed_subset @t41 @t1))))) % 42.41/42.67 (define @t183 () (tptp.closed_subsets @t2 @t1)) % 42.41/42.67 (define @t184 () (tptp.well_founded_relation @t1)) % 42.41/42.67 (define @t185 () (@var "F" $$unsorted)) % 42.41/42.67 (define @t186 () (tptp.ordered_pair @t89 @t185)) % 42.41/42.67 (define @t187 () (tptp.in @t185 @t2)) % 42.41/42.67 (define @t188 () (@list @t89 @t185)) % 42.41/42.67 (define @t189 () (tptp.subset @t41 @t2)) % 42.41/42.67 (define @t190 () (tptp.element @t41 @t148)) % 42.41/42.67 (define @t191 () (tptp.is_a_cover_of_carrier @t1 @t2)) % 42.41/42.67 (define @t192 () (tptp.compact_top_space @t1)) % 42.41/42.67 (define @t193 () (tptp.below @t1 @t2 @t41)) % 42.41/42.67 (define @t194 () (not @t151)) % 42.41/42.67 (define @t195 () (not @t140)) % 42.41/42.67 (define @t196 () (tptp.in @t2 @t41)) % 42.41/42.67 (define @t197 () (tptp.cast_as_carrier_subset @t1)) % 42.41/42.67 (define @t198 () (forall @t107 (=> @t79 @t151))) % 42.41/42.67 (define @t199 () (not @t131)) % 42.41/42.67 (define @t200 () (tptp.is_well_founded_in @t1 @t2)) % 42.41/42.67 (define @t201 () (tptp.apply @t1 @t2)) % 42.41/42.67 (define @t202 () (= @t41 @t201)) % 42.41/42.67 (define @t203 () (tptp.in @t2 @t98)) % 42.41/42.67 (define @t204 () (tptp.ordered_pair @t77 @t41)) % 42.41/42.67 (define @t205 () (tptp.in @t204 @t1)) % 42.41/42.67 (define @t206 () (and @t151 @t92 @t174 @t205)) % 42.41/42.67 (define @t207 () (forall @t82 (=> @t206 @t78))) % 42.41/42.67 (define @t208 () (tptp.is_antisymmetric_in @t1 @t2)) % 42.41/42.67 (define @t209 () (= @t208 @t207)) % 42.41/42.67 (define @t210 () (forall @t11 @t209)) % 42.41/42.67 (define @t211 () (=> @t40 @t210)) % 42.41/42.67 (define @t212 () (forall @t13 @t211)) % 42.41/42.67 (define @t213 () (tptp.cast_to_subset @t1)) % 42.41/42.67 (define @t214 () (tptp.union @t1)) % 42.41/42.67 (define @t215 () (tptp.reflexive @t1)) % 42.41/42.67 (define @t216 () (tptp.well_ordering @t1)) % 42.41/42.67 (define @t217 () (tptp.relation_rng @t41)) % 42.41/42.67 (define @t218 () (tptp.relation_dom @t41)) % 42.41/42.67 (define @t219 () (= @t218 @t1)) % 42.41/42.67 (define @t220 () (tptp.one_to_one @t41)) % 42.41/42.67 (define @t221 () (tptp.function @t41)) % 42.41/42.67 (define @t222 () (tptp.equipotent @t1 @t2)) % 42.41/42.67 (define @t223 () (not @t92)) % 42.41/42.67 (define @t224 () (tptp.set_difference @t1 @t2)) % 42.41/42.67 (define @t225 () (and @t111 (= @t41 @t110))) % 42.41/42.67 (define @t226 () (tptp.relation_rng @t1)) % 42.41/42.67 (define @t227 () (= @t2 @t226)) % 42.41/42.67 (define @t228 () (tptp.being_limit_ordinal @t1)) % 42.41/42.67 (define @t229 () (tptp.open_subset @t2 @t1)) % 42.41/42.67 (define @t230 () (tptp.subset_complement @t1 @t2)) % 42.41/42.67 (define @t231 () (tptp.ordered_pair @t1 @t2)) % 42.41/42.67 (define @t232 () (tptp.is_connected_in @t1 @t2)) % 42.41/42.67 (define @t233 () (tptp.is_transitive_in @t1 @t2)) % 42.41/42.67 (define @t234 () (tptp.the_InternalRel @t1)) % 42.41/42.67 (define @t235 () (tptp.antisymmetric_relstr @t1)) % 42.41/42.67 (define @t236 () (= @t235 (tptp.is_antisymmetric_in @t234 @t58))) % 42.41/42.67 (define @t237 () (tptp.rel_str @t1)) % 42.41/42.67 (define @t238 () (forall @t13 (=> @t237 @t236))) % 42.41/42.67 (define @t239 () (tptp.subset_difference @t58 @t197 @t2)) % 42.41/42.67 (define @t240 () (tptp.closed_subset @t2 @t1)) % 42.41/42.67 (define @t241 () (not @t205)) % 42.41/42.67 (define @t242 () (not @t174)) % 42.41/42.67 (define @t243 () (tptp.cartesian_product2 @t2 @t2)) % 42.41/42.67 (define @t244 () (tptp.relation_restriction @t1 @t2)) % 42.41/42.67 (define @t245 () (tptp.relation_inverse @t1)) % 42.41/42.67 (define @t246 () (tptp.apply @t41 @t89)) % 42.41/42.67 (define @t247 () (tptp.apply @t41 @t77)) % 42.41/42.67 (define @t248 () (tptp.relation_isomorphism @t1 @t2 @t41)) % 42.41/42.67 (define @t249 () (and @t42 @t221)) % 42.41/42.67 (define @t250 () (tptp.disjoint @t1 @t2)) % 42.41/42.67 (define @t251 () (tptp.meet_absorbing @t1)) % 42.41/42.67 (define @t252 () (tptp.latt_str @t1)) % 42.41/42.67 (define @t253 () (@list @t185)) % 42.41/42.67 (define @t254 () (tptp.relation_composition @t1 @t2)) % 42.41/42.67 (define @t255 () (@list @t41 @t77 @t89)) % 42.41/42.67 (define @t256 () (tptp.complements_of_subsets @t1 @t2)) % 42.41/42.67 (define @t257 () (tptp.powerset @t24)) % 42.41/42.67 (define @t258 () (tptp.element @t2 @t257)) % 42.41/42.67 (define @t259 () (not @t88)) % 42.41/42.67 (define @t260 () (tptp.function_inverse @t1)) % 42.41/42.67 (define @t261 () (tptp.related @t1 @t2 @t41)) % 42.41/42.67 (define @t262 () (= @t261 (tptp.in @t128 @t234))) % 42.41/42.67 (define @t263 () (forall @t107 (=> @t59 @t262))) % 42.41/42.67 (define @t264 () (=> @t60 @t263)) % 42.41/42.67 (define @t265 () (forall @t11 @t264)) % 42.41/42.67 (define @t266 () (=> @t237 @t265)) % 42.41/42.67 (define @t267 () (forall @t13 @t266)) % 42.41/42.67 (define @t268 () (and @t118 @t117)) % 42.41/42.67 (define @t269 () (tptp.apply_binary_as_element @t1 @t2 @t41 @t77 @t89 @t185)) % 42.41/42.67 (define @t270 () (tptp.function @t77)) % 42.41/42.67 (define @t271 () (not @t175)) % 42.41/42.67 (define @t272 () (and @t178 @t271 @t270 (tptp.quasi_total @t77 @t43 @t41) (tptp.relation_of2 @t77 @t43 @t41) (tptp.element @t89 @t1) (tptp.element @t185 @t2))) % 42.41/42.67 (define @t273 () (@list @t1 @t2 @t41 @t77 @t89 @t185)) % 42.41/42.67 (define @t274 () (tptp.relation @t245)) % 42.41/42.67 (define @t275 () (tptp.relation @t254)) % 42.41/42.67 (define @t276 () (and @t40 @t85)) % 42.41/42.67 (define @t277 () (tptp.powerset @t2)) % 42.41/42.67 (define @t278 () (tptp.relation_rng_as_subset @t1 @t2 @t41)) % 42.41/42.67 (define @t279 () (tptp.union_of_subsets @t1 @t2)) % 42.41/42.67 (define @t280 () (tptp.relation @t83)) % 42.41/42.67 (define @t281 () (tptp.meet_of_subsets @t1 @t2)) % 42.41/42.67 (define @t282 () (tptp.subset_difference @t1 @t2 @t41)) % 42.41/42.67 (define @t283 () (tptp.relation @t95)) % 42.41/42.67 (define @t284 () (tptp.relation @t106)) % 42.41/42.67 (define @t285 () (forall @t45 (=> @t136 @t44))) % 42.41/42.67 (define @t286 () (tptp.cartesian_product2 @t58 @t58)) % 42.41/42.67 (define @t287 () (tptp.relation_of2_as_subset @t234 @t58 @t58)) % 42.41/42.67 (define @t288 () (forall @t13 (=> @t237 @t287))) % 42.41/42.67 (define @t289 () (tptp.finite @t67)) % 42.41/42.67 (define @t290 () (tptp.relation_composition @t2 @t1)) % 42.41/42.67 (define @t291 () (and @t22 @t85)) % 42.41/42.67 (define @t292 () (tptp.relation_empty_yielding tptp.empty_set)) % 42.41/42.67 (define @t293 () (tptp.relation tptp.empty_set)) % 42.41/42.67 (define @t294 () (tptp.empty tptp.empty_set)) % 42.41/42.67 (define @t295 () (tptp.relation_empty_yielding @t1)) % 42.41/42.67 (define @t296 () (and @t40 @t295)) % 42.41/42.67 (define @t297 () (not (tptp.empty @t143))) % 42.41/42.67 (define @t298 () (not (tptp.empty @t24))) % 42.41/42.67 (define @t299 () (not (tptp.empty @t144))) % 42.41/42.67 (define @t300 () (and @t64 @t159)) % 42.41/42.67 (define @t301 () (tptp.v1_membered @t67)) % 42.41/42.67 (define @t302 () (tptp.v1_membered @t66)) % 42.41/42.67 (define @t303 () (tptp.v2_membered @t67)) % 42.41/42.67 (define @t304 () (tptp.ordinal @t144)) % 42.41/42.67 (define @t305 () (tptp.epsilon_connected @t144)) % 42.41/42.67 (define @t306 () (tptp.epsilon_transitive @t144)) % 42.41/42.67 (define @t307 () (and @t150 @t118 @t117)) % 42.41/42.67 (define @t308 () (tptp.v2_membered @t66)) % 42.41/42.67 (define @t309 () (tptp.v3_membered @t67)) % 42.41/42.67 (define @t310 () (tptp.v3_membered @t66)) % 42.41/42.67 (define @t311 () (tptp.v4_membered @t67)) % 42.41/42.67 (define @t312 () (tptp.v4_membered @t66)) % 42.41/42.67 (define @t313 () (tptp.v1_membered @t224)) % 42.41/42.67 (define @t314 () (tptp.v2_membered @t224)) % 42.41/42.67 (define @t315 () (tptp.v3_membered @t224)) % 42.41/42.67 (define @t316 () (tptp.open_subset @t160 @t1)) % 42.41/42.67 (define @t317 () (tptp.v4_membered @t224)) % 42.41/42.67 (define @t318 () (tptp.closed_subset @t160 @t1)) % 42.41/42.67 (define @t319 () (and @t85 @t126)) % 42.41/42.67 (define @t320 () (and @t150 @t118)) % 42.41/42.67 (define @t321 () (tptp.empty @t98)) % 42.41/42.67 (define @t322 () (and @t178 @t40)) % 42.41/42.67 (define @t323 () (tptp.empty @t226)) % 42.41/42.67 (define @t324 () (tptp.open_subset @t161 @t1)) % 42.41/42.67 (define @t325 () (tptp.in @t2 @t108)) % 42.41/42.67 (define @t326 () (tptp.disjoint @t143 @t2)) % 42.41/42.67 (define @t327 () (not @t5)) % 42.41/42.67 (define @t328 () (tptp.well_ordering @t2)) % 42.41/42.67 (define @t329 () (tptp.in (tptp.ordered_pair @t41 @t2) @t1)) % 42.41/42.67 (define @t330 () (tptp.singleton @t41)) % 42.41/42.67 (define @t331 () (not @t129)) % 42.41/42.67 (define @t332 () (tptp.singleton @t2)) % 42.41/42.67 (define @t333 () (tptp.union @t2)) % 42.41/42.67 (define @t334 () (tptp.in @t1 @t41)) % 42.41/42.67 (define @t335 () (tptp.element @t1 @t277)) % 42.41/42.67 (define @t336 () (tptp.relation_dom_restriction @t41 @t1)) % 42.41/42.67 (define @t337 () (tptp.in @t2 (tptp.relation_dom @t336))) % 42.41/42.67 (define @t338 () (tptp.one_to_one @t2)) % 42.41/42.67 (define @t339 () (and @t64 @t150 @t118)) % 42.41/42.67 (define @t340 () (tptp.set_intersection2 @t2 @t41)) % 42.41/42.67 (define @t341 () (tptp.set_difference @t2 @t41)) % 42.41/42.67 (define @t342 () (@var "K" $$unsorted)) % 42.41/42.67 (define @t343 () (@var "J" $$unsorted)) % 42.41/42.67 (define @t344 () (tptp.in @t342 @t343)) % 42.41/42.67 (define @t345 () (@list @t342)) % 42.41/42.67 (define @t346 () (@list @t343)) % 42.41/42.67 (define @t347 () (= @t77 @t89)) % 42.41/42.67 (define @t348 () (@var "I" $$unsorted)) % 42.41/42.67 (define @t349 () (@var "H" $$unsorted)) % 42.41/42.67 (define @t350 () (tptp.in @t348 @t349)) % 42.41/42.67 (define @t351 () (@list @t348)) % 42.41/42.67 (define @t352 () (@list @t349)) % 42.41/42.67 (define @t353 () (exists @t352 (and (= @t41 @t349) (tptp.in @t89 @t349) (forall @t351 (=> @t350 (tptp.in (tptp.ordered_pair @t89 @t348) @t2)))))) % 42.41/42.67 (define @t354 () (@var "G" $$unsorted)) % 42.41/42.67 (define @t355 () (tptp.in @t354 @t185)) % 42.41/42.67 (define @t356 () (@list @t354)) % 42.41/42.67 (define @t357 () (exists @t253 (and (= @t41 @t185) (tptp.in @t77 @t185) (forall @t356 (=> @t355 (tptp.in (tptp.ordered_pair @t77 @t354) @t2)))))) % 42.41/42.67 (define @t358 () (forall @t255 (=> (and @t79 @t357 @t79 @t353) @t347))) % 42.41/42.67 (define @t359 () (and @t178 @t85)) % 42.41/42.67 (define @t360 () (= @t77 @t332)) % 42.41/42.67 (define @t361 () (= @t41 @t332)) % 42.41/42.67 (define @t362 () (forall @t130 (=> (and @t3 @t361 @t3 @t360) @t78))) % 42.41/42.67 (define @t363 () (tptp.subset_complement @t58 @t349)) % 42.41/42.67 (define @t364 () (= @t349 @t77)) % 42.41/42.67 (define @t365 () (tptp.element @t349 @t113)) % 42.41/42.67 (define @t366 () (forall @t352 (=> @t365 (=> @t364 (= @t89 @t363))))) % 42.41/42.67 (define @t367 () (tptp.complements_of_subsets @t58 @t2)) % 42.41/42.67 (define @t368 () (tptp.in @t77 @t367)) % 42.41/42.67 (define @t369 () (tptp.element @t354 @t113)) % 42.41/42.67 (define @t370 () (forall @t356 (=> @t369 (=> (= @t354 @t41) (= @t89 (tptp.subset_complement @t58 @t354)))))) % 42.41/42.67 (define @t371 () (tptp.in @t41 @t367)) % 42.41/42.67 (define @t372 () (tptp.element @t185 @t113)) % 42.41/42.67 (define @t373 () (forall @t253 (=> @t372 (=> (= @t185 @t41) (= @t77 (tptp.subset_complement @t58 @t185)))))) % 42.41/42.67 (define @t374 () (forall @t255 (=> (and @t371 @t373 @t371 @t370) @t347))) % 42.41/42.67 (define @t375 () (and @t159 @t149)) % 42.41/42.67 (define @t376 () (forall @t255 (=> (and @t151 @t373 @t151 @t370) @t347))) % 42.41/42.67 (define @t377 () (tptp.ordinal @t41)) % 42.41/42.67 (define @t378 () (@var "S" $$unsorted)) % 42.41/42.67 (define @t379 () (@var "T" $$unsorted)) % 42.41/42.67 (define @t380 () (@var "R" $$unsorted)) % 42.41/42.67 (define @t381 () (tptp.powerset (tptp.powerset @t77))) % 42.41/42.67 (define @t382 () (@list @t380)) % 42.41/42.67 (define @t383 () (tptp.in @t77 tptp.omega)) % 42.41/42.67 (define @t384 () (tptp.ordinal @t77)) % 42.41/42.67 (define @t385 () (@var "P" $$unsorted)) % 42.41/42.67 (define @t386 () (@var "Q" $$unsorted)) % 42.41/42.67 (define @t387 () (@var "O" $$unsorted)) % 42.41/42.67 (define @t388 () (@list @t386)) % 42.41/42.67 (define @t389 () (@list @t385)) % 42.41/42.67 (define @t390 () (@list @t387)) % 42.41/42.67 (define @t391 () (@var "M" $$unsorted)) % 42.41/42.67 (define @t392 () (@var "N" $$unsorted)) % 42.41/42.67 (define @t393 () (@var "L" $$unsorted)) % 42.41/42.67 (define @t394 () (@list @t392)) % 42.41/42.67 (define @t395 () (tptp.in @t391 @t393)) % 42.41/42.67 (define @t396 () (@list @t391)) % 42.41/42.67 (define @t397 () (@list @t393)) % 42.41/42.67 (define @t398 () (tptp.succ @t77)) % 42.41/42.67 (define @t399 () (=> @t383 (forall @t99 (=> (tptp.element @t89 @t381) (not (and (not (= @t89 tptp.empty_set)) (forall @t253 (not (and (tptp.in @t185 @t89) (forall @t356 (=> (and (tptp.in @t354 @t89) (tptp.subset @t185 @t354)) (= @t354 @t185)))))))))))) % 42.41/42.67 (define @t400 () (tptp.subset @t2 @t41)) % 42.41/42.67 (define @t401 () (tptp.powerset tptp.empty_set)) % 42.41/42.67 (define @t402 () (tptp.apply @t41 @t185)) % 42.41/42.67 (define @t403 () (tptp.in @t185 @t1)) % 42.41/42.67 (define @t404 () (tptp.relation @t77)) % 42.41/42.67 (define @t405 () (and @t85 @t42 @t221)) % 42.41/42.67 (define @t406 () (forall @t345 (=> @t344 (tptp.in (tptp.ordered_pair @t77 @t342) @t2)))) % 42.41/42.67 (define @t407 () (tptp.in @t77 @t343)) % 42.41/42.67 (define @t408 () (= @t185 @t89)) % 42.41/42.67 (define @t409 () (tptp.cartesian_product2 @t1 @t41)) % 42.41/42.67 (define @t410 () (= @t89 @t185)) % 42.41/42.67 (define @t411 () (tptp.ordered_pair @t342 @t393)) % 42.41/42.67 (define @t412 () (@list @t342 @t393)) % 42.41/42.67 (define @t413 () (= @t77 @t185)) % 42.41/42.67 (define @t414 () (tptp.in @t343 @t348)) % 42.41/42.67 (define @t415 () (tptp.in @t354 @t1)) % 42.41/42.67 (define @t416 () (tptp.ordered_pair @t354 @t349)) % 42.41/42.67 (define @t417 () (= @t416 @t89)) % 42.41/42.67 (define @t418 () (@list @t354 @t349)) % 42.41/42.67 (define @t419 () (@list @t77 @t89 @t185)) % 42.41/42.67 (define @t420 () (tptp.ordered_pair @t343 @t342)) % 42.41/42.67 (define @t421 () (@list @t343 @t342)) % 42.41/42.67 (define @t422 () (= @t89 @t77)) % 42.41/42.67 (define @t423 () (tptp.in @t349 @t1)) % 42.41/42.67 (define @t424 () (= @t41 @t89)) % 42.41/42.67 (define @t425 () (tptp.ordered_pair @t185 @t354)) % 42.41/42.67 (define @t426 () (@list @t185 @t354)) % 42.41/42.67 (define @t427 () (= @t77 @t41)) % 42.41/42.67 (define @t428 () (not (and (not (= @t185 tptp.empty_set)) (forall @t356 (not (and @t355 (forall @t352 (=> (and (tptp.in @t349 @t185) (tptp.subset @t354 @t349)) (= @t349 @t354))))))))) % 42.41/42.67 (define @t429 () (tptp.ordinal @t89)) % 42.41/42.67 (define @t430 () (tptp.subset @t2 @t77)) % 42.41/42.67 (define @t431 () (tptp.in @t89 @t113)) % 42.41/42.67 (define @t432 () (tptp.in (tptp.set_difference @t197 @t77) @t2)) % 42.41/42.67 (define @t433 () (and @t150 @t118 @t149)) % 42.41/42.67 (define @t434 () (tptp.in @t354 @t2)) % 42.41/42.67 (define @t435 () (and @t32 (tptp.element @t2 (tptp.powerset (tptp.powerset @t144))))) % 42.41/42.67 (define @t436 () (= @t77 @t363)) % 42.41/42.67 (define @t437 () (forall @t352 (=> @t365 (=> (= @t349 @t89) @t436)))) % 42.41/42.67 (define @t438 () (tptp.in @t89 @t367)) % 42.41/42.67 (define @t439 () (forall @t390 (=> (tptp.element @t387 @t113) (=> (= @t387 @t391) (= @t392 (tptp.subset_complement @t58 @t387)))))) % 42.41/42.67 (define @t440 () (= (tptp.ordered_pair @t391 @t392) @t89)) % 42.41/42.67 (define @t441 () (@list @t391 @t392)) % 42.41/42.67 (define @t442 () (tptp.cartesian_product2 @t367 @t41)) % 42.41/42.67 (define @t443 () (forall @t397 (=> (tptp.element @t393 @t113) (=> (= @t393 @t343) (= @t342 (tptp.subset_complement @t58 @t393)))))) % 42.41/42.67 (define @t444 () (= @t420 @t185)) % 42.41/42.67 (define @t445 () (tptp.subset_complement @t58 @t348)) % 42.41/42.67 (define @t446 () (tptp.element @t348 @t113)) % 42.41/42.67 (define @t447 () (forall @t351 (=> @t446 (=> (= @t348 @t354) (= @t349 @t445))))) % 42.41/42.67 (define @t448 () (tptp.cartesian_product2 @t2 @t41)) % 42.41/42.67 (define @t449 () (tptp.cartesian_product2 @t1 @t1)) % 42.41/42.67 (define @t450 () (tptp.apply @t41 @t354)) % 42.41/42.67 (define @t451 () (tptp.in (tptp.relation_image @t41 @t89) @t2)) % 42.41/42.67 (define @t452 () (tptp.powerset @t218)) % 42.41/42.67 (define @t453 () (and @t258 @t42 @t221)) % 42.41/42.67 (define @t454 () (tptp.succ @t2)) % 42.41/42.67 (define @t455 () (= @t425 @t89)) % 42.41/42.67 (define @t456 () (exists @t99 (and @t114 @t422 (tptp.closed_subset @t89 @t1) @t430))) % 42.41/42.67 (define @t457 () (tptp.in @t77 @t113)) % 42.41/42.67 (define @t458 () (forall @t352 (=> @t365 (=> (= @t349 @t185) (= @t354 @t363))))) % 42.41/42.67 (define @t459 () (tptp.apply @t2 @t41)) % 42.41/42.67 (define @t460 () (= @t124 @t1)) % 42.41/42.67 (define @t461 () (exists @t11 (and @t85 @t126 @t460 (forall @t107 (=> @t79 (= @t459 @t330)))))) % 42.41/42.67 (define @t462 () (forall @t351 (=> @t446 (=> (= @t348 @t77) (= @t247 @t445))))) % 42.41/42.67 (define @t463 () (forall @t101 (not (forall @t352 (=> @t365 (=> (= @t349 @t41) @t436)))))) % 42.41/42.67 (define @t464 () (tptp.in @t1 tptp.omega)) % 42.41/42.67 (define @t465 () (tptp.element @t77 @t113)) % 42.41/42.67 (define @t466 () (= @t256 tptp.empty_set)) % 42.41/42.67 (define @t467 () (not (and @t169 @t466))) % 42.41/42.67 (define @t468 () (= @t1 @t41)) % 42.41/42.67 (define @t469 () (tptp.relation_rng @t106)) % 42.41/42.67 (define @t470 () (tptp.meet_of_subsets @t1 @t256)) % 42.41/42.67 (define @t471 () (tptp.union_of_subsets @t1 @t256)) % 42.41/42.67 (define @t472 () (forall @t107 (not (and @t189 (not (tptp.are_equipotent @t41 @t2)) @t194)))) % 42.41/42.67 (define @t473 () (tptp.powerset @t41)) % 42.41/42.67 (define @t474 () (forall @t82 (=> (and @t151 (tptp.subset @t77 @t41)) @t92))) % 42.41/42.67 (define @t475 () (tptp.meet_of_subsets @t58 @t2)) % 42.41/42.67 (define @t476 () (tptp.relation_dom_restriction @t41 @t2)) % 42.41/42.67 (define @t477 () (tptp.relation_image @t2 @t1)) % 42.41/42.67 (define @t478 () (tptp.relation_inverse_image @t2 @t1)) % 42.41/42.67 (define @t479 () (tptp.relation_image @t2 @t478)) % 42.41/42.67 (define @t480 () (tptp.set_intersection2 @t124 @t1)) % 42.41/42.67 (define @t481 () (tptp.subset @t1 @t125)) % 42.41/42.67 (define @t482 () (tptp.relation_of2_as_subset @t77 @t41 @t2)) % 42.41/42.67 (define @t483 () (tptp.relation_rng @t77)) % 42.41/42.67 (define @t484 () (tptp.relation_of2_as_subset @t77 @t41 @t1)) % 42.41/42.67 (define @t485 () (tptp.relation_rng @t254)) % 42.41/42.67 (define @t486 () (tptp.relation_inverse_image @t41 @t2)) % 42.41/42.67 (define @t487 () (tptp.relation_restriction @t41 @t2)) % 42.41/42.67 (define @t488 () (tptp.relation_restriction @t2 @t1)) % 42.41/42.67 (define @t489 () (tptp.relation_dom_restriction @t2 @t1)) % 42.41/42.67 (define @t490 () (tptp.relation_field @t41)) % 42.41/42.67 (define @t491 () (tptp.in @t1 @t490)) % 42.41/42.67 (define @t492 () (tptp.subset @t1 @t41)) % 42.41/42.67 (define @t493 () (tptp.element @t1 @t2)) % 42.41/42.67 (define @t494 () (tptp.in @t1 @t218)) % 42.41/42.67 (define @t495 () (tptp.in @t231 @t41)) % 42.41/42.67 (define @t496 () (tptp.relation_field @t488)) % 42.41/42.67 (define @t497 () (tptp.apply @t41 @t1)) % 42.41/42.67 (define @t498 () (tptp.relation_composition @t41 @t2)) % 42.41/42.67 (define @t499 () (tptp.in @t1 (tptp.relation_dom @t498))) % 42.41/42.67 (define @t500 () (tptp.apply @t77 @t41)) % 42.41/42.67 (define @t501 () (and @t270 (tptp.quasi_total @t77 @t1 @t2) (tptp.relation_of2_as_subset @t77 @t1 @t2))) % 42.41/42.67 (define @t502 () (tptp.reflexive @t2)) % 42.41/42.67 (define @t503 () (tptp.connected @t2)) % 42.41/42.67 (define @t504 () (tptp.transitive @t2)) % 42.41/42.67 (define @t505 () (tptp.related @t1 @t41 @t2)) % 42.41/42.67 (define @t506 () (and @t261 @t505)) % 42.41/42.67 (define @t507 () (=> @t506 @t140)) % 42.41/42.67 (define @t508 () (forall @t107 (=> @t59 @t507))) % 42.41/42.67 (define @t509 () (=> @t60 @t508)) % 42.41/42.67 (define @t510 () (forall @t11 @t509)) % 42.41/42.67 (define @t511 () (and @t235 @t237)) % 42.41/42.67 (define @t512 () (=> @t511 @t510)) % 42.41/42.67 (define @t513 () (forall @t13 @t512)) % 42.41/42.67 (define @t514 () (not @t513)) % 42.41/42.67 (define @t515 () (tptp.antisymmetric @t2)) % 42.41/42.67 (define @t516 () (tptp.well_ordering @t488)) % 42.41/42.67 (define @t517 () (= @t496 @t1)) % 42.41/42.67 (define @t518 () (tptp.well_orders @t2 @t1)) % 42.41/42.67 (define @t519 () (or @t175 @t5)) % 42.41/42.67 (define @t520 () (forall @t6 (=> @t493 @t519))) % 42.41/42.67 (define @t521 () (tptp.well_founded_relation @t2)) % 42.41/42.67 (define @t522 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 42.41/42.67 (define @t523 () (and @t79 @t151)) % 42.41/42.67 (define @t524 () (not @t250)) % 42.41/42.67 (define @t525 () (= @t1 @t454)) % 42.41/42.67 (define @t526 () (tptp.subset_complement @t1 @t41)) % 42.41/42.67 (define @t527 () (tptp.disjoint @t2 @t41)) % 42.41/42.67 (define @t528 () (tptp.relation_dom @t254)) % 42.41/42.67 (define @t529 () (and (tptp.closed_subset @t77 @t1) @t430)) % 42.41/42.67 (define @t530 () (tptp.element @t2 @t473)) % 42.41/42.67 (define @t531 () (tptp.in @t41 @t67)) % 42.41/42.67 (define @t532 () (= @t115 @t2)) % 42.41/42.67 (define @t533 () (and (tptp.in @t41 @t226) (= @t77 @t459))) % 42.41/42.67 (define @t534 () (tptp.function_inverse @t2)) % 42.41/42.67 (define @t535 () (= @t226 tptp.empty_set)) % 42.41/42.67 (define @t536 () (= @t98 tptp.empty_set)) % 42.41/42.67 (define @t537 () (= (tptp.apply @t336 @t2) (tptp.apply @t41 @t2))) % 42.41/42.67 (define @t538 () (forall @t6 (not (and @t22 @t259 @t175)))) % 42.41/42.67 (define @t539 () (= @t143 (tptp.unordered_pair @t2 @t41))) % 42.41/42.67 (define @t540 () (@var "BOUND_VARIABLE_12809" $$unsorted)) % 42.41/42.67 (define @t541 () (= (tptp.is_antisymmetric_in @t1 @t540) (forall @t82 (or (not (tptp.in @t41 @t540)) (not (tptp.in @t77 @t540)) @t242 @t241 @t78)))) % 42.41/42.67 (define @t542 () (not @t40)) % 42.41/42.67 (define @t543 () (or @t542 @t541)) % 42.41/42.67 (define @t544 () (@list @t540)) % 42.41/42.67 (define @t545 () (forall @t544 @t543)) % 42.41/42.67 (define @t546 () (forall @t544 @t541)) % 42.41/42.67 (define @t547 () (or @t542 @t546)) % 42.41/42.67 (define @t548 () (or @t194 @t223 @t242 @t241 @t78)) % 42.41/42.67 (define @t549 () (forall @t11 (= @t208 (forall @t82 @t548)))) % 42.41/42.67 (define @t550 () (or @t194 @t223 @t242 @t241)) % 42.41/42.67 (define @t551 () (@var "BOUND_VARIABLE_17683" $$unsorted)) % 42.41/42.67 (define @t552 () (@var "BOUND_VARIABLE_17681" $$unsorted)) % 42.41/42.67 (define @t553 () (= @t552 @t551)) % 42.41/42.67 (define @t554 () (not (tptp.related @t1 @t551 @t552))) % 42.41/42.67 (define @t555 () (not (tptp.related @t1 @t552 @t551))) % 42.41/42.67 (define @t556 () (not (tptp.element @t551 @t58))) % 42.41/42.67 (define @t557 () (not (tptp.element @t552 @t58))) % 42.41/42.67 (define @t558 () (not @t237)) % 42.41/42.67 (define @t559 () (not @t235)) % 42.41/42.67 (define @t560 () (or @t559 @t558 @t557 @t556 @t555 @t554 @t553)) % 42.41/42.67 (define @t561 () (@list @t1 @t552 @t551)) % 42.41/42.67 (define @t562 () (forall @t561 @t560)) % 42.41/42.67 (define @t563 () (@quantifiers_skolemize @t562 0)) % 42.41/42.67 (define @t564 () (tptp.the_carrier @t563)) % 42.41/42.67 (define @t565 () (tptp.the_InternalRel @t563)) % 42.41/42.67 (define @t566 () (@list @t564 @t564 @t565)) % 42.41/42.67 (define @t567 () (@list @t563)) % 42.41/42.67 (define @t568 () (or @t557 @t556 @t555 @t554 @t553)) % 42.41/42.67 (define @t569 () (or @t559 @t558 @t568)) % 42.41/42.67 (define @t570 () (forall @t561 @t569)) % 42.41/42.67 (define @t571 () (@list @t552 @t551)) % 42.41/42.67 (define @t572 () (forall @t571 @t569)) % 42.41/42.67 (define @t573 () (forall @t571 @t568)) % 42.41/42.67 (define @t574 () (@var "BOUND_VARIABLE_17659" $$unsorted)) % 42.41/42.67 (define @t575 () (or @t559 @t558 @t573)) % 42.41/42.67 (define @t576 () (= @t2 @t574)) % 42.41/42.67 (define @t577 () (not (tptp.related @t1 @t574 @t2))) % 42.41/42.67 (define @t578 () (not (tptp.related @t1 @t2 @t574))) % 42.41/42.67 (define @t579 () (not (tptp.element @t574 @t58))) % 42.41/42.67 (define @t580 () (not @t60)) % 42.41/42.67 (define @t581 () (or @t580 @t579 @t578 @t577 @t576)) % 42.41/42.67 (define @t582 () (@list @t2 @t574)) % 42.41/42.67 (define @t583 () (forall @t582 @t581)) % 42.41/42.67 (define @t584 () (or @t559 @t558 @t583)) % 42.41/42.67 (define @t585 () (or @t579 @t578 @t577 @t576)) % 42.41/42.67 (define @t586 () (or @t580 @t585)) % 42.41/42.67 (define @t587 () (forall @t582 @t586)) % 42.41/42.67 (define @t588 () (@list @t574)) % 42.41/42.67 (define @t589 () (forall @t588 @t586)) % 42.41/42.67 (define @t590 () (forall @t588 @t585)) % 42.41/42.67 (define @t591 () (@list @t41)) % 42.41/42.67 (define @t592 () (or @t580 @t590)) % 42.41/42.67 (define @t593 () (not @t505)) % 42.41/42.67 (define @t594 () (not @t261)) % 42.41/42.67 (define @t595 () (not @t59)) % 42.41/42.67 (define @t596 () (or @t595 @t594 @t593 @t140)) % 42.41/42.67 (define @t597 () (forall @t107 @t596)) % 42.41/42.67 (define @t598 () (or @t594 @t593 @t140)) % 42.41/42.67 (define @t599 () (tptp.rel_str @t563)) % 42.41/42.67 (define @t600 () (@quantifiers_skolemize @t562 2)) % 42.41/42.67 (define @t601 () (@quantifiers_skolemize @t562 1)) % 42.41/42.67 (define @t602 () (= @t601 @t600)) % 42.41/42.67 (define @t603 () (tptp.related @t563 @t600 @t601)) % 42.41/42.67 (define @t604 () (not @t603)) % 42.41/42.67 (define @t605 () (tptp.related @t563 @t601 @t600)) % 42.41/42.67 (define @t606 () (not @t605)) % 42.41/42.67 (define @t607 () (tptp.element @t600 @t564)) % 42.41/42.67 (define @t608 () (not @t607)) % 42.41/42.67 (define @t609 () (tptp.element @t601 @t564)) % 42.41/42.67 (define @t610 () (not @t609)) % 42.41/42.67 (define @t611 () (not @t599)) % 42.41/42.67 (define @t612 () (tptp.antisymmetric_relstr @t563)) % 42.41/42.67 (define @t613 () (not @t612)) % 42.41/42.67 (define @t614 () (or @t613 @t611 @t610 @t608 @t606 @t604 @t602)) % 42.41/42.67 (define @t615 () (@list true)) % 42.41/42.67 (define @t616 () (@list @t614)) % 42.41/42.67 (define @t617 () (tptp.relation_of2_as_subset @t565 @t564 @t564)) % 42.41/42.67 (define @t618 () (or @t611 @t617)) % 42.41/42.67 (define @t619 () (@list false false)) % 42.41/42.67 (define @t620 () (tptp.element @t565 (tptp.powerset (tptp.cartesian_product2 @t564 @t564)))) % 42.41/42.67 (define @t621 () (not @t617)) % 42.41/42.67 (define @t622 () (or @t621 @t620)) % 42.41/42.67 (define @t623 () (tptp.relation @t565)) % 42.41/42.67 (define @t624 () (not @t620)) % 42.41/42.67 (define @t625 () (or @t624 @t623)) % 42.41/42.67 (define @t626 () (forall @t82 (or (not (tptp.in @t41 @t564)) (not (tptp.in @t77 @t564)) (not (tptp.in @t80 @t565)) (not (tptp.in @t204 @t565)) @t78))) % 42.41/42.67 (define @t627 () (tptp.is_antisymmetric_in @t565 @t564)) % 42.41/42.67 (define @t628 () (= @t627 @t626)) % 42.41/42.67 (define @t629 () (not @t623)) % 42.41/42.67 (define @t630 () (or @t629 @t628)) % 42.41/42.67 (define @t631 () (= @t612 @t627)) % 42.41/42.67 (define @t632 () (or @t611 @t631)) % 42.41/42.67 (define @t633 () (@var "BOUND_VARIABLE_13383" $$unsorted)) % 42.41/42.67 (define @t634 () (@var "BOUND_VARIABLE_13381" $$unsorted)) % 42.41/42.67 (define @t635 () (= (tptp.related @t1 @t634 @t633) (tptp.in (tptp.ordered_pair @t634 @t633) @t234))) % 42.41/42.67 (define @t636 () (not (tptp.element @t633 @t58))) % 42.41/42.67 (define @t637 () (not (tptp.element @t634 @t58))) % 42.41/42.67 (define @t638 () (or @t637 @t636 @t635)) % 42.41/42.67 (define @t639 () (or @t558 @t638)) % 42.41/42.67 (define @t640 () (forall (@list @t1 @t634 @t633) @t639)) % 42.41/42.67 (define @t641 () (@list @t634 @t633)) % 42.41/42.67 (define @t642 () (forall @t641 @t639)) % 42.41/42.67 (define @t643 () (forall @t641 @t638)) % 42.41/42.67 (define @t644 () (@var "BOUND_VARIABLE_13363" $$unsorted)) % 42.41/42.67 (define @t645 () (or @t558 @t643)) % 42.41/42.67 (define @t646 () (= (tptp.related @t1 @t2 @t644) (tptp.in (tptp.ordered_pair @t2 @t644) @t234))) % 42.41/42.67 (define @t647 () (not (tptp.element @t644 @t58))) % 42.41/42.67 (define @t648 () (or @t580 @t647 @t646)) % 42.41/42.67 (define @t649 () (@list @t2 @t644)) % 42.41/42.67 (define @t650 () (forall @t649 @t648)) % 42.41/42.67 (define @t651 () (or @t647 @t646)) % 42.41/42.67 (define @t652 () (or @t580 @t651)) % 42.41/42.67 (define @t653 () (forall @t649 @t652)) % 42.41/42.67 (define @t654 () (@list @t644)) % 42.41/42.67 (define @t655 () (forall @t654 @t652)) % 42.41/42.67 (define @t656 () (forall @t654 @t651)) % 42.41/42.67 (define @t657 () (or @t580 @t656)) % 42.41/42.67 (define @t658 () (forall @t107 (or @t595 @t262))) % 42.41/42.67 (define @t659 () (tptp.in (tptp.ordered_pair @t600 @t601) @t565)) % 42.41/42.67 (define @t660 () (= @t603 @t659)) % 42.41/42.67 (define @t661 () (or @t611 @t608 @t610 @t660)) % 42.41/42.67 (define @t662 () (@list false false false false)) % 42.41/42.67 (define @t663 () (tptp.in (tptp.ordered_pair @t601 @t600) @t565)) % 42.41/42.67 (define @t664 () (= @t605 @t663)) % 42.41/42.67 (define @t665 () (or @t611 @t610 @t608 @t664)) % 42.41/42.67 (define @t666 () (not @t493)) % 42.41/42.67 (define @t667 () (or @t178 @t176)) % 42.41/42.67 (define @t668 () (forall @t6 @t667)) % 42.41/42.67 (define @t669 () (@list @t1 @t2)) % 42.41/42.67 (define @t670 () (= @t3 @t10)) % 42.41/42.67 (define @t671 () (or @t22 @t670)) % 42.41/42.67 (define @t672 () (forall @t6 @t671)) % 42.41/42.67 (define @t673 () (and @t672 @t668)) % 42.41/42.67 (define @t674 () (and (=> @t178 @t670) @t177)) % 42.41/42.67 (define @t675 () (tptp.empty @t601)) % 42.41/42.67 (define @t676 () (= @t609 @t675)) % 42.41/42.67 (define @t677 () (tptp.empty @t564)) % 42.41/42.67 (define @t678 () (not @t677)) % 42.41/42.67 (define @t679 () (or @t678 @t676)) % 42.41/42.67 (define @t680 () (tptp.empty @t600)) % 42.41/42.67 (define @t681 () (= @t607 @t680)) % 42.41/42.67 (define @t682 () (or @t678 @t681)) % 42.41/42.67 (define @t683 () (not @t259)) % 42.41/42.67 (define @t684 () (or @t178 @t683 @t271)) % 42.41/42.67 (define @t685 () (@list @t601 @t600)) % 42.41/42.67 (define @t686 () (not @t680)) % 42.41/42.67 (define @t687 () (not @t675)) % 42.41/42.67 (define @t688 () (or @t687 @t602 @t686)) % 42.41/42.67 (define @t689 () (tptp.in @t600 @t564)) % 42.41/42.67 (define @t690 () (or @t608 @t677 @t689)) % 42.41/42.67 (define @t691 () (@list false true false)) % 42.41/42.67 (define @t692 () (tptp.in @t601 @t564)) % 42.41/42.67 (define @t693 () (or @t610 @t677 @t692)) % 42.41/42.67 (define @t694 () (not @t659)) % 42.41/42.67 (define @t695 () (not @t663)) % 42.41/42.67 (define @t696 () (not @t689)) % 42.41/42.67 (define @t697 () (not @t692)) % 42.41/42.67 (define @t698 () (or @t697 @t696 @t695 @t694 @t602)) % 42.41/42.67 (define @t699 () (not @t698)) % 42.41/42.67 (assume @p1 (forall @t6 (=> @t5 @t4))) % 42.41/42.67 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 42.41/42.67 (assume @p3 (forall @t13 (=> @t12 (forall @t11 (=> @t10 @t9))))) % 42.41/42.67 (assume @p4 (forall @t13 (=> @t15 (forall @t11 (=> @t10 (and @t9 @t14)))))) % 42.41/42.67 (assume @p5 (forall @t13 (=> @t17 (forall @t11 (=> @t10 (and @t9 @t14 @t16)))))) % 42.41/42.67 (assume @p6 (forall @t13 (=> @t19 (forall @t11 (=> @t10 (and @t9 @t14 @t18 @t16)))))) % 42.41/42.67 (assume @p7 (forall @t13 (=> @t21 (forall @t11 (=> @t10 (and @t9 @t20 @t14 @t18 @t16)))))) % 42.41/42.67 (assume @p8 (forall @t13 (=> @t22 (and @t12 @t15 @t17 @t19 @t21)))) % 42.41/42.67 (assume @p9 (forall @t13 (=> @t12 (forall @t11 (=> @t25 @t23))))) % 42.41/42.67 (assume @p10 (forall @t13 (=> @t15 (forall @t11 (=> @t25 (and @t23 @t26)))))) % 42.41/42.67 (assume @p11 (forall @t13 (=> @t17 (forall @t11 (=> @t25 (and @t23 @t26 @t27)))))) % 42.41/42.67 (assume @p12 (forall @t13 (=> @t19 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28)))))) % 42.41/42.67 (assume @p13 (forall @t13 (=> @t32 (forall @t11 (=> @t10 (and @t31 @t30 @t29)))))) % 42.41/42.67 (assume @p14 (forall @t13 (=> @t22 @t33))) % 42.41/42.67 (assume @p15 (forall @t13 (=> @t35 @t34))) % 42.41/42.67 (assume @p16 (forall @t13 (=> @t22 @t36))) % 42.41/42.67 (assume @p17 (forall @t13 (=> @t21 @t19))) % 42.41/42.67 (assume @p18 (forall @t13 (=> @t32 @t39))) % 42.41/42.67 (assume @p19 (forall @t13 (=> @t22 @t40))) % 42.41/42.67 (assume @p20 @t46) % 42.41/42.67 (assume @p21 (forall @t13 (=> @t21 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28 (tptp.v5_membered @t2))))))) % 42.41/42.67 (assume @p22 (forall @t13 (=> (and @t22 @t32) @t48))) % 42.41/42.67 (assume @p23 (forall @t13 (=> @t33 (forall @t11 (=> @t25 @t49))))) % 42.41/42.67 (assume @p24 (forall @t13 (=> @t34 @t35))) % 42.41/42.67 (assume @p25 (forall @t13 (=> @t52 @t51))) % 42.41/42.67 (assume @p26 (forall @t13 (=> @t19 @t17))) % 42.41/42.67 (assume @p27 (forall @t13 (=> @t39 @t32))) % 42.41/42.67 (assume @p28 (forall @t13 (=> (tptp.element @t1 tptp.omega) @t48))) % 42.41/42.67 (assume @p29 (forall @t13 (=> @t17 @t15))) % 42.41/42.67 (assume @p30 (forall @t13 (=> @t22 @t53))) % 42.41/42.67 (assume @p31 (forall @t13 (=> @t15 @t12))) % 42.41/42.67 (assume @p32 (forall @t6 (= @t54 (tptp.unordered_pair @t2 @t1)))) % 42.41/42.67 (assume @p33 (forall @t6 (= @t56 @t55))) % 42.41/42.67 (assume @p34 (forall @t45 (=> @t65 (= @t57 (tptp.join_commut @t1 @t41 @t2))))) % 42.41/42.67 (assume @p35 (forall @t6 (= @t67 @t66))) % 42.41/42.67 (assume @p36 (forall @t45 (=> @t71 (= @t68 (tptp.meet_commut @t1 @t41 @t2))))) % 42.41/42.67 (assume @p37 (forall @t45 (=> @t74 (= @t72 (tptp.subset_intersection2 @t1 @t41 @t2))))) % 42.41/42.67 (assume @p38 (forall @t6 (=> @t76 (or @t75 (tptp.ordinal_subset @t2 @t1))))) % 42.41/42.67 (assume @p39 (forall @t6 (=> @t85 (= @t84 (forall @t82 (= @t81 (and @t79 @t78))))))) % 42.41/42.67 (assume @p40 (forall @t6 (= @t88 (and @t87 @t86)))) % 42.41/42.67 (assume @p41 (forall @t13 (=> @t40 (forall @t96 (=> @t42 (= (= @t41 @t95) (forall @t94 (= @t93 (and @t92 @t91))))))))) % 42.41/42.67 (assume @p42 (forall @t13 (=> @t104 (forall @t96 (= @t103 (forall @t101 (= @t100 (exists @t99 (and (tptp.in @t89 @t98) @t97 (= @t77 (tptp.apply @t1 @t89))))))))))) % 42.41/42.67 (assume @p43 (forall @t6 (=> @t85 (forall @t107 (=> @t42 (= (= @t41 @t106) (forall @t94 (= @t93 (and @t105 (tptp.in @t90 @t2)))))))))) % 42.41/42.67 (assume @p44 (forall @t13 (=> @t40 (= @t109 (tptp.is_antisymmetric_in @t1 @t108))))) % 42.41/42.67 (assume @p45 (forall @t13 (=> @t104 (forall @t96 (= @t112 (forall @t101 (= @t100 (and @t111 (tptp.in @t110 @t2))))))))) % 42.41/42.67 (assume @p46 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (forall @t107 (=> @t116 (= (= @t41 @t115) (forall @t101 (=> (tptp.in @t77 @t58) (= @t100 (forall @t99 (=> @t114 (not (and (tptp.open_subset @t89 @t1) (tptp.in @t77 @t89) (tptp.disjoint @t2 @t89)))))))))))))))) % 42.41/42.67 (assume @p47 (forall @t13 (=> @t40 (forall @t96 (= @t103 (forall @t101 (= @t100 (exists @t99 (and (tptp.in @t119 @t1) @t97))))))))) % 42.41/42.67 (assume @p48 (forall @t13 (=> @t40 (forall @t96 (= @t112 (forall @t101 (= @t100 (exists @t99 (and @t91 @t97))))))))) % 42.41/42.67 (assume @p49 (forall @t13 (=> @t40 (= @t120 (tptp.is_connected_in @t1 @t108))))) % 42.41/42.67 (assume @p50 (forall @t13 (=> @t40 (= @t121 (tptp.is_transitive_in @t1 @t108))))) % 42.41/42.67 (assume @p51 (forall @t123 (= (= @t77 (tptp.unordered_triple @t1 @t2 @t41)) (forall @t99 (= @t122 (not (and (not (= @t89 @t1)) (not (= @t89 @t2)) (not (= @t89 @t41))))))))) % 42.41/42.67 (assume @p52 (forall @t13 (= @t33 (exists @t11 (and @t85 @t126 (= @t125 @t1) (tptp.in @t124 tptp.omega)))))) % 42.41/42.67 (assume @p53 (forall @t13 (= @t36 (forall @t130 (=> (and @t129 @t127) @t78))))) % 42.41/42.67 (assume @p54 (forall @t45 (=> @t136 (and (=> (=> @t134 @t133) (= @t132 (= @t1 @t135))) (=> @t134 (or @t133 (= @t132 @t131))))))) % 42.41/42.67 (assume @p55 (forall @t13 (=> @t139 (forall @t11 (=> @t60 (forall @t107 (=> @t59 (= @t138 (tptp.apply_binary_as_element @t58 @t58 @t58 @t137 @t2 @t41))))))))) % 42.41/42.67 (assume @p56 (forall @t13 (=> @t142 (forall @t11 (= (= @t2 (tptp.pair_first @t1)) (forall @t82 (=> @t141 @t140))))))) % 42.41/42.67 (assume @p57 (forall @t13 (= @t144 (tptp.set_union2 @t1 @t143)))) % 42.41/42.67 (assume @p58 (forall @t13 (=> @t118 (= @t150 (and (tptp.in @t58 @t145) (forall @t11 (=> @t149 (=> (tptp.subset @t2 @t145) (tptp.in @t147 @t145)))) (forall @t11 (=> @t117 (forall @t107 (=> @t116 (=> (and @t146 (tptp.in @t41 @t145)) (tptp.in (tptp.subset_intersection2 @t58 @t2 @t41) @t145))))))))))) % 42.41/42.67 (assume @p59 (forall @t13 (= @t40 (forall @t11 (not (and @t3 (forall @t82 (not (= @t2 @t80))))))))) % 42.41/42.67 (assume @p60 (forall @t13 (=> @t40 (forall @t11 (= @t152 (forall @t107 (=> @t151 (tptp.in (tptp.ordered_pair @t41 @t41) @t1)))))))) % 42.41/42.67 (assume @p61 (forall @t45 (= @t153 (tptp.subset @t41 @t43)))) % 42.41/42.67 (assume @p62 (forall @t6 (and (=> @t157 (= @t154 (forall @t107 (= @t151 (forall @t101 (=> @t156 @t155)))))) (=> @t133 (= @t154 @t134))))) % 42.41/42.67 (assume @p63 (forall @t13 (=> @t159 (= @t63 @t158)))) % 42.41/42.67 (assume @p64 (forall @t6 (= (= @t2 @t143) (forall @t107 (= @t151 (= @t41 @t1)))))) % 42.41/42.67 (assume @p65 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (= @t161 (tptp.subset_complement @t58 (tptp.topstr_closure @t1 @t160)))))))) % 42.41/42.67 (assume @p66 (forall @t13 (=> @t118 (forall @t11 (=> @t149 (= @t163 (forall @t107 (=> @t116 (=> @t151 @t162))))))))) % 42.41/42.67 (assume @p67 (forall @t13 (=> @t40 (forall @t96 (= (= @t41 (tptp.fiber @t1 @t2)) (forall @t101 (= @t100 (and (not @t164) (tptp.in (tptp.ordered_pair @t77 @t2) @t1))))))))) % 42.41/42.67 (assume @p68 (forall @t6 (=> @t85 (= (= @t2 @t167) (and (= @t166 @t1) (forall @t82 (=> (and @t79 @t156) (= @t81 @t165)))))))) % 42.41/42.67 (assume @p69 (forall @t13 (= @t133 (forall @t11 @t4)))) % 42.41/42.67 (assume @p70 (forall @t6 (= (= @t2 @t24) (forall @t107 (= @t151 (tptp.subset @t41 @t1)))))) % 42.41/42.67 (assume @p71 (forall @t13 (= (tptp.centered @t1) (and @t157 (forall @t11 (not (and @t169 @t86 @t49 (= @t168 tptp.empty_set)))))))) % 42.41/42.67 (assume @p72 (forall @t13 (=> (and @t64 @t69) (forall @t11 (=> @t60 (forall @t107 (=> @t59 (= @t171 (tptp.apply_binary_as_element @t58 @t58 @t58 @t170 @t2 @t41))))))))) % 42.41/42.67 (assume @p73 (forall @t13 (=> @t142 (forall @t11 (= (= @t2 (tptp.pair_second @t1)) (forall @t82 (=> @t141 @t172))))))) % 42.41/42.67 (assume @p74 (forall @t13 (= @t38 (forall @t11 (=> @t3 @t86))))) % 42.41/42.67 (assume @p75 (forall @t13 (=> @t159 (= @t173 tptp.empty_set)))) % 42.41/42.67 (assume @p76 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (= @t88 (forall @t82 (= @t174 @t81)))))))) % 42.41/42.67 (assume @p77 @t181) % 42.41/42.67 (assume @p78 (forall @t45 (= (= @t41 @t54) (forall @t101 (= @t100 (or (= @t77 @t1) @t164)))))) % 42.41/42.67 (assume @p79 (forall @t13 (=> @t118 (forall @t11 (=> @t149 (= @t183 @t182)))))) % 42.41/42.67 (assume @p80 (forall @t13 (=> @t40 (= @t184 (forall @t11 (not (and (tptp.subset @t2 @t108) @t169 (forall @t107 (not (and @t151 (tptp.disjoint (tptp.fiber @t1 @t41) @t2))))))))))) % 42.41/42.67 (assume @p81 (forall @t45 (= (= @t41 @t56) (forall @t101 (= @t100 (or @t156 @t92)))))) % 42.41/42.67 (assume @p82 (forall @t45 (= (= @t41 @t43) (forall @t101 (= @t100 (exists @t188 (and @t105 @t187 (= @t77 @t186)))))))) % 42.41/42.67 (assume @p83 (forall @t13 (=> @t118 (= @t192 (forall @t11 (=> @t149 (not (and @t191 @t163 (forall @t107 (=> @t190 (not (and @t189 (tptp.is_a_cover_of_carrier @t1 @t41) (tptp.finite @t41))))))))))))) % 42.41/42.67 (assume @p84 (forall @t13 (=> @t139 (forall @t11 (=> @t60 (forall @t107 (=> @t59 (= @t193 (= @t138 @t41))))))))) % 42.41/42.67 (assume @p85 (forall @t13 (= @t37 (forall @t96 (not (and @t3 @t79 (not @t196) @t195 @t194)))))) % 42.41/42.67 (assume @p86 (forall @t13 (=> @t159 (= @t197 @t58)))) % 42.41/42.67 (assume @p87 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (= @t87 (forall @t82 (=> @t174 @t81)))))))) % 42.41/42.67 (assume @p88 (forall @t6 (= @t87 @t198))) % 42.41/42.67 (assume @p89 (forall @t13 (=> @t40 (forall @t11 (= @t200 (forall @t107 (not (and @t189 @t199 (forall @t101 (not (and @t100 (tptp.disjoint (tptp.fiber @t1 @t77) @t41)))))))))))) % 42.41/42.67 (assume @p90 (forall @t45 (= (= @t41 @t67) (forall @t101 (= @t100 (and @t156 @t92)))))) % 42.41/42.67 (assume @p91 (forall @t13 (=> @t104 (forall @t96 (and (=> @t203 (= @t202 @t129)) (=> (not @t203) (= @t202 @t131))))))) % 42.41/42.67 (assume @p92 (forall @t13 (= @t32 @t39))) % 42.41/42.67 (assume @p93 (forall @t13 (=> @t40 (forall @t11 (= (= @t2 @t98) (forall @t107 (= @t151 (exists @t101 @t174)))))))) % 42.41/42.67 (assume @p94 @t212) % 42.41/42.67 (assume @p95 (forall @t13 (= @t213 @t1))) % 42.41/42.67 (assume @p96 (forall @t6 (= (= @t2 @t214) (forall @t107 (= @t151 (exists @t101 (and @t155 @t156))))))) % 42.41/42.67 (assume @p97 (forall @t13 (=> @t40 (= @t216 (and @t215 @t121 @t109 @t120 @t184))))) % 42.41/42.67 (assume @p98 (forall @t6 (= @t222 (exists @t107 (and @t42 @t221 @t220 @t219 (= @t217 @t2)))))) % 42.41/42.67 (assume @p99 (forall @t45 (= (= @t41 @t224) (forall @t101 (= @t100 (and @t156 @t223)))))) % 42.41/42.67 (assume @p100 (forall @t13 (=> @t104 (forall @t11 (= @t227 (forall @t107 (= @t151 (exists @t101 @t225)))))))) % 42.41/42.67 (assume @p101 (forall @t13 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t228 @t32 (forall @t11 (=> @t29 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t87))))))) % 42.41/42.67 (assume @p102 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (= @t229 @t146)))))) % 42.41/42.67 (assume @p103 (forall @t13 (=> @t40 (forall @t11 (= @t227 (forall @t107 (= @t151 (exists @t101 @t205)))))))) % 42.41/42.67 (assume @p104 (forall @t6 (=> @t25 (= @t230 @t224)))) % 42.41/42.67 (assume @p105 (forall @t6 (= @t231 (tptp.unordered_pair @t54 @t143)))) % 42.41/42.67 (assume @p106 (forall @t13 (=> @t40 (forall @t11 (= (tptp.well_orders @t1 @t2) (and @t152 @t233 @t208 @t232 @t200)))))) % 42.41/42.67 (assume @p107 @t238) % 42.41/42.67 (assume @p108 (forall @t13 (= @t228 (= @t1 @t214)))) % 42.41/42.67 (assume @p109 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (= @t240 (tptp.open_subset @t239 @t1))))))) % 42.41/42.67 (assume @p110 (forall @t13 (=> @t40 (= @t108 (tptp.set_union2 @t98 @t226))))) % 42.41/42.67 (assume @p111 (forall @t13 (=> @t40 (forall @t11 (= @t232 (forall @t82 (not (and @t151 @t92 (not @t78) @t242 @t241)))))))) % 42.41/42.67 (assume @p112 (forall @t13 (=> @t40 (forall @t11 (= @t244 (tptp.set_intersection2 @t1 @t243)))))) % 42.41/42.67 (assume @p113 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (= (= @t2 @t245) (forall @t82 (= @t81 @t205)))))))) % 42.41/42.67 (assume @p114 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (forall @t107 (=> @t249 (= @t248 (and (= @t218 @t108) (= @t217 @t166) @t220 (forall @t94 (= @t91 (and (tptp.in @t77 @t108) (tptp.in @t89 @t108) (tptp.in (tptp.ordered_pair @t247 @t246) @t2))))))))))))) % 42.41/42.67 (assume @p115 (forall @t6 (= @t250 (= @t67 tptp.empty_set)))) % 42.41/42.67 (assume @p116 (forall @t13 (=> @t104 (= @t50 (forall @t96 (=> (and @t203 (tptp.in @t41 @t98) (= @t201 (tptp.apply @t1 @t41))) @t140)))))) % 42.41/42.67 (assume @p117 (forall @t13 (=> (and @t64 @t252) (= @t251 (forall @t11 (=> @t60 (forall @t107 (=> @t59 (= (tptp.join @t1 @t171 @t41) @t41))))))))) % 42.41/42.67 (assume @p118 (forall @t13 (=> @t159 (forall @t11 (=> @t149 (= @t191 (= @t197 @t147))))))) % 42.41/42.67 (assume @p119 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (forall @t107 (=> @t42 (= (= @t41 @t254) (forall @t94 (= @t93 (exists @t253 (and (tptp.in (tptp.ordered_pair @t77 @t185) @t1) (tptp.in (tptp.ordered_pair @t185 @t89) @t2))))))))))))) % 42.41/42.67 (assume @p120 (forall @t13 (=> @t40 (forall @t11 (= @t233 (forall @t255 (=> (and @t151 @t92 @t97 @t174 @t91) (tptp.in (tptp.ordered_pair @t41 @t89) @t1)))))))) % 42.41/42.67 (assume @p121 (forall @t6 (=> @t258 (forall @t107 (=> (tptp.element @t41 @t257) (= (= @t41 @t256) (forall @t101 (=> (tptp.element @t77 @t24) (= @t100 (tptp.in (tptp.subset_complement @t1 @t77) @t2)))))))))) % 42.41/42.67 (assume @p122 (forall @t6 (= @t8 (and @t87 @t259)))) % 42.41/42.67 (assume @p123 (forall @t13 (=> @t104 (=> @t50 (= @t260 @t245))))) % 42.41/42.67 (assume @p124 @t267) % 42.41/42.67 (assume @p125 (forall @t13 (=> @t40 (= @t215 (tptp.is_reflexive_in @t1 @t108))))) % 42.41/42.67 (assume @p126 true) % 42.41/42.67 (assume @p127 (forall @t45 (=> (and @t64 @t61 @t60 @t59) (tptp.element @t138 @t58)))) % 42.41/42.67 (assume @p128 (forall @t13 (=> @t159 (tptp.element @t173 @t113)))) % 42.41/42.67 (assume @p129 (forall @t6 (=> @t268 (tptp.element @t161 @t113)))) % 42.41/42.67 (assume @p130 (forall @t13 (tptp.relation @t167))) % 42.41/42.67 (assume @p131 (forall @t273 (=> @t272 (tptp.element @t269 @t41)))) % 42.41/42.67 (assume @p132 (forall @t13 (=> @t104 (and (tptp.relation @t260) (tptp.function @t260))))) % 42.41/42.67 (assume @p133 (forall @t45 (=> (and @t64 @t69 @t60 @t59) (tptp.element @t171 @t58)))) % 42.41/42.67 (assume @p134 (forall @t13 (=> @t159 (tptp.element @t197 @t113)))) % 42.41/42.67 (assume @p135 (forall @t13 (tptp.element @t213 @t24))) % 42.41/42.67 (assume @p136 (forall @t6 (=> @t40 (tptp.relation @t244)))) % 42.41/42.67 (assume @p137 (forall @t45 (=> @t65 (tptp.element @t57 @t58)))) % 42.41/42.67 (assume @p138 (forall @t6 (=> @t25 (tptp.element @t230 @t24)))) % 42.41/42.67 (assume @p139 (forall @t45 (=> @t71 (tptp.element @t68 @t58)))) % 42.41/42.67 (assume @p140 (forall @t13 (=> @t40 @t274))) % 42.41/42.67 (assume @p141 (forall @t45 (=> @t153 (tptp.element @t135 @t24)))) % 42.41/42.67 (assume @p142 (forall @t6 (=> @t276 @t275))) % 42.41/42.67 (assume @p143 (forall @t45 (=> @t153 (tptp.element @t278 @t277)))) % 42.41/42.67 (assume @p144 (forall @t6 (=> @t258 (tptp.element @t279 @t24)))) % 42.41/42.67 (assume @p145 (forall @t45 (=> @t74 (tptp.element @t72 @t24)))) % 42.41/42.67 (assume @p146 (forall @t6 (=> @t268 (tptp.element @t115 @t113)))) % 42.41/42.67 (assume @p147 (forall @t13 @t280)) % 42.41/42.67 (assume @p148 (forall @t6 (=> @t258 (tptp.element @t281 @t24)))) % 42.41/42.67 (assume @p149 (forall @t45 (=> @t74 (tptp.element @t282 @t24)))) % 42.41/42.67 (assume @p150 (forall @t6 (=> @t40 @t283))) % 42.41/42.67 (assume @p151 (forall @t6 (=> @t258 (tptp.element @t256 @t257)))) % 42.41/42.67 (assume @p152 (forall @t6 (=> @t85 @t284))) % 42.41/42.67 (assume @p153 (forall @t13 (=> @t69 @t159))) % 42.41/42.67 (assume @p154 (forall @t13 (=> @t237 @t159))) % 42.41/42.67 (assume @p155 (forall @t13 (=> @t118 @t159))) % 42.41/42.67 (assume @p156 (forall @t13 (=> @t61 @t159))) % 42.41/42.67 (assume @p157 (forall @t13 (=> @t252 (and @t69 @t61)))) % 42.41/42.67 (assume @p158 @t285) % 42.41/42.67 (assume @p159 (forall @t13 (=> @t69 (and (tptp.function @t170) (tptp.quasi_total @t170 @t286 @t58) (tptp.relation_of2_as_subset @t170 @t286 @t58))))) % 42.41/42.67 (assume @p160 @t288) % 42.41/42.67 (assume @p161 (forall @t13 (=> @t118 (tptp.element @t145 @t148)))) % 42.41/42.67 (assume @p162 (forall @t13 (=> @t61 (and (tptp.function @t137) (tptp.quasi_total @t137 @t286 @t58) (tptp.relation_of2_as_subset @t137 @t286 @t58))))) % 42.41/42.67 (assume @p163 (exists @t13 @t69)) % 42.41/42.67 (assume @p164 (exists @t13 @t237)) % 42.41/42.67 (assume @p165 (exists @t13 @t118)) % 42.41/42.67 (assume @p166 (exists @t13 @t159)) % 42.41/42.67 (assume @p167 (exists @t13 @t61)) % 42.41/42.67 (assume @p168 (exists @t13 @t252)) % 42.41/42.67 (assume @p169 (forall @t6 (exists @t107 @t153))) % 42.41/42.67 (assume @p170 (forall @t13 (exists @t11 @t10))) % 42.41/42.67 (assume @p171 (forall @t6 (exists @t107 @t136))) % 42.41/42.67 (assume @p172 (forall @t6 (=> @t49 @t289))) % 42.41/42.67 (assume @p173 (forall @t6 (=> @t291 (and (tptp.empty @t290) (tptp.relation @t290))))) % 42.41/42.67 (assume @p174 (forall @t6 (=> @t33 @t289))) % 42.41/42.67 (assume @p175 (forall @t13 (=> @t22 (and (tptp.empty @t245) @t274)))) % 42.41/42.67 (assume @p176 (forall @t6 (=> @t33 (tptp.finite @t224)))) % 42.41/42.67 (assume @p177 (and @t294 @t293 @t292)) % 42.41/42.67 (assume @p178 (forall @t6 (=> (and @t40 @t36 @t49) (tptp.finite @t102)))) % 42.41/42.67 (assume @p179 (forall @t6 (=> @t296 (and @t283 (tptp.relation_empty_yielding @t95))))) % 42.41/42.67 (assume @p180 (forall @t13 (and @t297 (tptp.finite @t143)))) % 42.41/42.67 (assume @p181 (forall @t13 (and @t298 (tptp.cup_closed @t24) (tptp.diff_closed @t24) (tptp.preboolean @t24)))) % 42.41/42.67 (assume @p182 (forall @t6 (=> (and @t40 @t36 @t85 @t126) (and @t275 (tptp.function @t254))))) % 42.41/42.67 (assume @p183 (forall @t13 @t299)) % 42.41/42.67 (assume @p184 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 42.41/42.67 (assume @p185 (forall @t13 (=> @t159 (and (tptp.empty @t173) (tptp.v1_membered @t173) (tptp.v2_membered @t173) (tptp.v3_membered @t173) (tptp.v4_membered @t173) (tptp.v5_membered @t173))))) % 42.41/42.67 (assume @p186 (forall @t6 (=> @t276 (tptp.relation @t67)))) % 42.41/42.67 (assume @p187 (forall @t13 (=> @t300 (not @t158)))) % 42.41/42.67 (assume @p188 (forall @t13 @t298)) % 42.41/42.67 (assume @p189 @t294) % 42.41/42.67 (assume @p190 (forall @t6 (not (tptp.empty @t231)))) % 42.41/42.67 (assume @p191 (forall @t6 (=> @t12 @t301))) % 42.41/42.67 (assume @p192 (forall @t6 (=> @t12 @t302))) % 42.41/42.67 (assume @p193 (forall @t6 (=> @t15 (and @t301 @t303)))) % 42.41/42.67 (assume @p194 (forall @t13 (=> (and @t32 @t47) (and @t299 @t306 @t305 @t304 (tptp.natural @t144))))) % 42.41/42.67 (assume @p195 (forall @t13 (and @t280 (tptp.function @t83)))) % 42.41/42.67 (assume @p196 (and @t293 @t292 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t294 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 42.41/42.67 (assume @p197 (forall @t13 (=> @t300 (not (tptp.empty @t197))))) % 42.41/42.67 (assume @p198 (forall @t6 (=> @t276 (tptp.relation @t56)))) % 42.41/42.67 (assume @p199 (forall @t13 @t297)) % 42.41/42.67 (assume @p200 (forall @t6 (=> @t307 (tptp.closed_subset @t115 @t1)))) % 42.41/42.67 (assume @p201 (forall @t6 (=> @t178 (not (tptp.empty @t56))))) % 42.41/42.67 (assume @p202 (forall @t6 (=> @t15 (and @t302 @t308)))) % 42.41/42.67 (assume @p203 (forall @t6 (=> @t17 (and @t301 @t303 @t309)))) % 42.41/42.67 (assume @p204 (forall @t6 (=> @t17 (and @t302 @t308 @t310)))) % 42.41/42.67 (assume @p205 (forall @t6 (=> @t19 (and @t301 @t303 @t309 @t311)))) % 42.41/42.67 (assume @p206 (forall @t6 (=> @t19 (and @t302 @t308 @t310 @t312)))) % 42.41/42.67 (assume @p207 (forall @t6 (=> @t21 (and @t301 @t303 @t309 @t311 (tptp.v5_membered @t67))))) % 42.41/42.67 (assume @p208 (forall @t6 (=> @t21 (and @t302 @t308 @t310 @t312 (tptp.v5_membered @t66))))) % 42.41/42.67 (assume @p209 (forall @t6 (=> @t12 @t313))) % 42.41/42.67 (assume @p210 (forall @t6 (=> @t15 (and @t313 @t314)))) % 42.41/42.67 (assume @p211 (forall @t6 (=> @t17 (and @t313 @t314 @t315)))) % 42.41/42.67 (assume @p212 (forall @t13 (=> @t51 (and @t274 (tptp.function @t245))))) % 42.41/42.67 (assume @p213 (forall @t13 (=> @t32 (and @t299 @t306 @t305 @t304)))) % 42.41/42.67 (assume @p214 (forall @t6 (=> @t276 (tptp.relation @t224)))) % 42.41/42.67 (assume @p215 (forall @t6 (not (tptp.empty @t54)))) % 42.41/42.67 (assume @p216 (forall @t6 (=> (and @t150 @t118 @t240 @t117) @t316))) % 42.41/42.67 (assume @p217 (forall @t6 (=> @t178 (not (tptp.empty @t55))))) % 42.41/42.67 (assume @p218 (forall @t6 (=> @t19 (and @t313 @t314 @t315 @t317)))) % 42.41/42.67 (assume @p219 (forall @t6 (=> @t21 (and @t313 @t314 @t315 @t317 (tptp.v5_membered @t224))))) % 42.41/42.67 (assume @p220 (forall @t6 (=> @t104 (and @t283 (tptp.function @t95))))) % 42.41/42.67 (assume @p221 (forall @t13 (=> @t32 (and (tptp.epsilon_transitive @t214) (tptp.epsilon_connected @t214) (tptp.ordinal @t214))))) % 42.41/42.67 (assume @p222 (and @t294 @t293)) % 42.41/42.67 (assume @p223 (forall @t6 (=> (and @t178 @t271) (not (tptp.empty @t43))))) % 42.41/42.67 (assume @p224 (forall @t6 (=> (and @t150 @t118 @t229 @t117) @t318))) % 42.41/42.67 (assume @p225 (forall @t6 (=> @t319 (and @t284 (tptp.function @t106))))) % 42.41/42.67 (assume @p226 (forall @t13 (=> @t320 (tptp.closed_subset @t197 @t1)))) % 42.41/42.67 (assume @p227 (forall @t13 (=> @t322 (not @t321)))) % 42.41/42.67 (assume @p228 (and @t294 (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))) % 42.41/42.67 (assume @p229 (forall @t13 (=> @t322 (not @t323)))) % 42.41/42.67 (assume @p230 (forall @t6 (=> @t307 @t324))) % 42.41/42.67 (assume @p231 (forall @t13 (=> @t22 (and @t321 (tptp.relation @t98))))) % 42.41/42.67 (assume @p232 (forall @t13 (=> @t22 (and @t323 (tptp.relation @t226))))) % 42.41/42.67 (assume @p233 (forall @t6 (=> (and @t33 @t49) (tptp.finite @t56)))) % 42.41/42.67 (assume @p234 (forall @t6 (=> @t291 (and (tptp.empty @t254) @t275)))) % 42.41/42.67 (assume @p235 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 42.41/42.67 (assume @p236 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 42.41/42.67 (assume @p237 (forall @t45 (=> @t74 (= (tptp.subset_intersection2 @t1 @t2 @t2) @t2)))) % 42.41/42.67 (assume @p238 (forall @t6 (=> @t25 (= (tptp.subset_complement @t1 @t230) @t2)))) % 42.41/42.67 (assume @p239 (forall @t13 (=> @t40 (= (tptp.relation_inverse @t245) @t1)))) % 42.41/42.67 (assume @p240 (forall @t6 (=> @t258 (= (tptp.complements_of_subsets @t1 @t256) @t2)))) % 42.41/42.67 (assume @p241 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 42.41/42.67 (assume @p242 (forall @t13 (=> @t40 (= @t215 (forall @t11 (=> @t325 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 42.41/42.67 (assume @p243 (forall @t13 (not (= @t143 tptp.empty_set)))) % 42.41/42.67 (assume @p244 (forall @t6 (=> @t5 (= (tptp.set_union2 @t143 @t2) @t2)))) % 42.41/42.67 (assume @p245 (forall @t6 (not (and @t326 @t5)))) % 42.41/42.67 (assume @p246 (forall @t6 (=> @t327 @t326))) % 42.41/42.67 (assume @p247 (forall @t6 (=> @t85 (tptp.subset (tptp.relation_dom @t106) @t124)))) % 42.41/42.67 (assume @p248 (forall @t13 (=> @t40 (= @t121 (forall @t130 (=> (and @t129 @t174) @t127)))))) % 42.41/42.67 (assume @p249 (forall @t6 (= (tptp.subset @t143 @t2) @t5))) % 42.41/42.67 (assume @p250 (forall @t6 (=> @t85 (not (and @t328 (tptp.equipotent @t1 @t166) (forall @t107 (=> @t42 (not (tptp.well_orders @t41 @t1))))))))) % 42.41/42.67 (assume @p251 (forall @t6 (= (= @t224 tptp.empty_set) @t87))) % 42.41/42.67 (assume @p252 (forall @t6 (=> @t25 (forall @t107 (=> @t151 @t79))))) % 42.41/42.67 (assume @p253 (forall @t13 (=> @t40 (= @t109 (forall @t96 (=> (and @t129 @t329) @t140)))))) % 42.41/42.67 (assume @p254 (forall @t45 (=> @t87 (or @t79 (tptp.subset @t1 (tptp.set_difference @t2 @t330)))))) % 42.41/42.67 (assume @p255 (forall @t13 (=> @t300 (forall @t11 (=> @t117 (forall @t107 (=> @t59 (= (tptp.in @t41 @t160) @t194)))))))) % 42.41/42.67 (assume @p256 (forall @t13 (=> @t40 (= @t120 (forall @t96 (not (and @t325 (tptp.in @t41 @t108) @t195 @t331 (not @t329)))))))) % 42.41/42.67 (assume @p257 (forall @t6 (= (tptp.subset @t1 @t332) (or @t133 (= @t1 @t332))))) % 42.41/42.67 (assume @p258 (forall @t6 (=> @t5 (tptp.subset @t1 @t333)))) % 42.41/42.67 (assume @p259 (forall @t123 (= (tptp.in @t231 (tptp.cartesian_product2 @t41 @t77)) (and @t334 (tptp.in @t2 @t77))))) % 42.41/42.67 (assume @p260 (forall @t6 (=> @t198 @t335))) % 42.41/42.67 (assume @p261 (forall @t45 (=> @t249 (= @t337 (and (tptp.in @t2 @t218) @t3))))) % 42.41/42.67 (assume @p262 (exists @t13 (and @t178 @t38 @t37 @t32 @t47))) % 42.41/42.67 (assume @p263 (exists @t13 (and @t178 @t33))) % 42.41/42.67 (assume @p264 (exists @t13 @t104)) % 42.41/42.67 (assume @p265 (forall @t6 (exists @t107 (and @t153 @t42 @t221 @t132)))) % 42.41/42.67 (assume @p266 (exists @t13 (and @t178 @t12 @t15 @t17 @t19 @t21))) % 42.41/42.67 (assume @p267 (exists @t13 @t53)) % 42.41/42.67 (assume @p268 (exists @t13 (and @t38 @t37 @t32 @t228))) % 42.41/42.67 (assume @p269 (exists @t13 (and @t40 @t36 @t50 @t22))) % 42.41/42.67 (assume @p270 (exists @t13 (and @t22 @t40))) % 42.41/42.67 (assume @p271 (forall @t13 (=> @t178 (exists @t11 (and @t25 @t271))))) % 42.41/42.67 (assume @p272 (forall @t13 (=> @t320 (exists @t11 (and @t117 @t229))))) % 42.41/42.67 (assume @p273 (exists @t13 @t22)) % 42.41/42.67 (assume @p274 (forall @t13 (exists @t11 (and @t25 @t175 @t85 @t126 @t338 @t31 @t30 @t29 @t20 @t49)))) % 42.41/42.67 (assume @p275 (exists @t13 @t52)) % 42.41/42.67 (assume @p276 (exists @t13 (and @t40 @t36 @t50 @t22 @t38 @t37 @t32))) % 42.41/42.67 (assume @p277 (forall @t6 (exists @t107 (and @t153 @t42 @t221)))) % 42.41/42.67 (assume @p278 (exists @t13 @t322)) % 42.41/42.67 (assume @p279 (forall @t13 (exists @t11 (and @t25 @t175)))) % 42.41/42.67 (assume @p280 (forall @t13 (=> @t320 (exists @t11 (and @t117 @t229 @t240))))) % 42.41/42.67 (assume @p281 (exists @t13 @t178)) % 42.41/42.67 (assume @p282 (forall @t13 (=> @t178 (exists @t11 (and @t25 @t271 @t49))))) % 42.41/42.67 (assume @p283 (exists @t13 @t51)) % 42.41/42.67 (assume @p284 (exists @t13 (and @t178 @t38 @t37 @t32))) % 42.41/42.67 (assume @p285 (exists @t13 @t296)) % 42.41/42.67 (assume @p286 (exists @t13 (and @t159 @t64))) % 42.41/42.67 (assume @p287 (exists @t13 (and @t40 @t295 @t36))) % 42.41/42.67 (assume @p288 (forall @t13 (=> @t300 (exists @t11 (and @t117 @t271))))) % 42.41/42.67 (assume @p289 (forall @t13 (=> @t320 (exists @t11 (and @t117 @t240))))) % 42.41/42.67 (assume @p290 (forall @t13 (=> @t339 (exists @t11 (and @t117 @t271 @t240))))) % 42.41/42.67 (assume @p291 (forall @t273 (=> @t272 (= @t269 (tptp.apply_binary @t77 @t89 @t185))))) % 42.41/42.67 (assume @p292 (forall @t45 (=> @t65 (= @t57 @t138)))) % 42.41/42.67 (assume @p293 (forall @t45 (=> @t71 (= @t68 @t171)))) % 42.41/42.67 (assume @p294 (forall @t45 (=> @t153 (= @t135 @t218)))) % 42.41/42.67 (assume @p295 (forall @t45 (=> @t153 (= @t278 @t217)))) % 42.41/42.67 (assume @p296 (forall @t6 (=> @t258 (= @t279 @t333)))) % 42.41/42.67 (assume @p297 (forall @t45 (=> @t74 (= @t72 @t340)))) % 42.41/42.67 (assume @p298 (forall @t6 (=> @t258 (= @t281 @t168)))) % 42.41/42.67 (assume @p299 (forall @t45 (=> @t74 (= @t282 @t341)))) % 42.41/42.67 (assume @p300 (forall @t45 (= @t136 @t153))) % 42.41/42.67 (assume @p301 (forall @t6 (=> @t76 (= @t75 @t87)))) % 42.41/42.67 (assume @p302 (forall @t6 (= @t222 (tptp.are_equipotent @t1 @t2)))) % 42.41/42.67 (assume @p303 (forall @t6 (=> @t76 (tptp.ordinal_subset @t1 @t1)))) % 42.41/42.67 (assume @p304 (forall @t6 (tptp.subset @t1 @t1))) % 42.41/42.67 (assume @p305 (forall @t6 (tptp.equipotent @t1 @t1))) % 42.41/42.67 (assume @p306 (forall @t6 (=> @t359 (=> @t358 (exists @t107 (and @t42 @t221 (forall @t94 (= @t93 (and @t156 @t156 (exists @t346 (and (= @t77 @t343) (tptp.in @t89 @t343) (forall @t345 (=> @t344 (tptp.in (tptp.ordered_pair @t89 @t342) @t2)))))))))))))) % 42.41/42.67 (assume @p307 (forall @t13 (=> @t362 (exists @t11 (and @t85 @t126 (forall @t82 (= @t81 (and @t79 @t79 (= @t77 @t330))))))))) % 42.41/42.67 (assume @p308 (forall @t6 (=> @t375 (=> @t374 (exists @t107 (and @t42 @t221 (forall @t94 (= @t93 (and @t368 @t368 @t366))))))))) % 42.41/42.67 (assume @p309 (forall @t6 (=> @t375 (=> @t376 (exists @t107 (and @t42 @t221 (forall @t94 (= @t93 (and @t92 @t92 @t366))))))))) % 42.41/42.67 (assume @p310 (forall @t13 (=> (exists @t11 (and @t29 @t3)) (exists @t11 (and @t29 @t3 (forall @t107 (=> @t377 (=> @t79 (tptp.ordinal_subset @t2 @t41))))))))) % 42.41/42.67 (assume @p311 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t13 (=> (tptp.element @t1 (tptp.powerset @t401)) (not (and @t157 (forall @t11 (not (and @t3 (forall @t107 (=> (and @t79 @t400) (= @t41 @t2))))))))))) (forall @t101 (=> @t384 (=> @t399 (=> (tptp.in @t398 tptp.omega) (forall @t352 (=> (tptp.element @t349 (tptp.powerset (tptp.powerset @t398))) (not (and (not (= @t349 tptp.empty_set)) (forall @t351 (not (and @t350 (forall @t346 (=> (and (tptp.in @t343 @t349) (tptp.subset @t348 @t343)) (= @t343 @t348)))))))))))))) (forall @t101 (=> @t384 (=> (and (tptp.being_limit_ordinal @t77) (forall @t345 (=> (tptp.ordinal @t342) (=> (tptp.in @t342 @t77) (=> (tptp.in @t342 tptp.omega) (forall @t397 (=> (tptp.element @t393 (tptp.powerset (tptp.powerset @t342))) (not (and (not (= @t393 tptp.empty_set)) (forall @t396 (not (and @t395 (forall @t394 (=> (and (tptp.in @t392 @t393) (tptp.subset @t391 @t392)) (= @t392 @t391))))))))))))))) (or (= @t77 tptp.empty_set) (=> @t383 (forall @t390 (=> (tptp.element @t387 @t381) (not (and (not (= @t387 tptp.empty_set)) (forall @t389 (not (and (tptp.in @t385 @t387) (forall @t388 (=> (and (tptp.in @t386 @t387) (tptp.subset @t385 @t386)) (= @t386 @t385)))))))))))))))) (forall @t101 (=> @t384 (=> @t383 (forall @t382 (=> (tptp.element @t380 @t381) (not (and (not (= @t380 tptp.empty_set)) (forall (@list @t378) (not (and (tptp.in @t378 @t380) (forall (@list @t379) (=> (and (tptp.in @t379 @t380) (tptp.subset @t378 @t379)) (= @t379 @t378))))))))))))))) % 42.41/42.67 (assume @p312 (forall @t45 (=> @t405 (exists @t101 (and @t404 (forall @t188 (= (tptp.in @t186 @t77) (and @t105 @t403 (tptp.in (tptp.ordered_pair @t246 @t402) @t2))))))))) % 42.41/42.67 (assume @p313 (forall @t6 (=> @t359 (=> @t358 (exists @t107 (forall @t101 (= @t100 (exists @t99 (and @t105 @t105 (exists @t346 (and (= @t89 @t343) @t407 @t406))))))))))) % 42.41/42.67 (assume @p314 (forall @t6 (=> @t359 (forall @t107 (=> (forall @t419 (=> (and @t347 (exists @t418 (and @t417 @t415 (exists @t351 (and (= @t354 @t348) (tptp.in @t349 @t348) (forall @t346 (=> @t414 (tptp.in (tptp.ordered_pair @t349 @t343) @t2))))))) @t413 (exists @t412 (and (= @t411 @t185) (tptp.in @t342 @t1) (exists @t396 (and (= @t342 @t391) (tptp.in @t393 @t391) (forall @t394 (=> (tptp.in @t392 @t391) (tptp.in (tptp.ordered_pair @t393 @t392) @t2)))))))) @t410)) (exists @t101 (forall @t99 (= @t122 (exists @t253 (and (tptp.in @t185 @t409) @t408 (exists (@list @t387 @t385) (and (= (tptp.ordered_pair @t387 @t385) @t89) (tptp.in @t387 @t1) (exists @t388 (and (= @t387 @t386) (tptp.in @t385 @t386) (forall @t382 (=> (tptp.in @t380 @t386) (tptp.in (tptp.ordered_pair @t385 @t380) @t2))))))))))))))))) % 42.41/42.67 (assume @p315 (forall @t13 (=> @t362 (exists @t11 (forall @t107 (= @t151 (exists @t101 (and @t156 @t156 (= @t41 (tptp.singleton @t77)))))))))) % 42.41/42.67 (assume @p316 (forall @t6 (=> (forall @t255 (=> (and @t78 (exists @t426 (and (= @t425 @t77) @t403 (= @t354 (tptp.singleton @t185)))) @t424 (exists (@list @t349 @t348) (and (= (tptp.ordered_pair @t349 @t348) @t89) @t423 (= @t348 (tptp.singleton @t349))))) @t347)) (exists @t107 (forall @t101 (= @t100 (exists @t99 (and (tptp.in @t89 @t43) @t422 (exists @t421 (and (= @t420 @t77) (tptp.in @t343 @t1) (= @t342 (tptp.singleton @t343)))))))))))) % 42.41/42.67 (assume @p317 (forall @t13 (=> @t32 (=> (forall @t130 (=> (and @t140 (exists @t99 (and @t429 @t424 (=> (tptp.in @t89 tptp.omega) (forall @t253 (=> (tptp.element @t185 (tptp.powerset (tptp.powerset @t89))) @t428))))) @t172 (exists @t351 (and (tptp.ordinal @t348) (= @t77 @t348) (=> (tptp.in @t348 tptp.omega) (forall @t346 (=> (tptp.element @t343 (tptp.powerset (tptp.powerset @t348))) (not (and (not (= @t343 tptp.empty_set)) (forall @t345 (not (and @t344 (forall @t397 (=> (and (tptp.in @t393 @t343) (tptp.subset @t342 @t393)) (= @t393 @t342)))))))))))))) @t78)) (exists @t11 (forall @t107 (= @t151 (exists @t101 (and (tptp.in @t77 @t144) @t427 (exists @t396 (and (tptp.ordinal @t391) (= @t41 @t391) (=> (tptp.in @t391 tptp.omega) (forall @t394 (=> (tptp.element @t392 (tptp.powerset (tptp.powerset @t391))) (not (and (not (= @t392 tptp.empty_set)) (forall @t390 (not (and (tptp.in @t387 @t392) (forall @t389 (=> (and (tptp.in @t385 @t392) (tptp.subset @t387 @t385)) (= @t385 @t387)))))))))))))))))))))) % 42.41/42.67 (assume @p318 (forall @t6 (=> @t307 (=> (forall @t255 (=> (and @t78 (exists @t253 (and @t372 (= @t185 @t77) (tptp.closed_subset @t185 @t1) @t430)) @t424 (exists @t356 (and @t369 (= @t354 @t89) (tptp.closed_subset @t354 @t1) (tptp.subset @t2 @t89)))) @t347)) (exists @t107 (forall @t101 (= @t100 (exists @t99 (and @t431 @t422 (exists @t352 (and @t365 @t364 (tptp.closed_subset @t349 @t1) @t430))))))))))) % 42.41/42.67 (assume @p319 (forall @t6 (=> @t433 (=> (forall @t255 (=> (and @t78 @t432 @t424 (tptp.in (tptp.set_difference @t197 @t89) @t2)) @t347)) (exists @t107 (forall @t101 (= @t100 (exists @t99 (and @t431 @t422 @t432))))))))) % 42.41/42.67 (assume @p320 (forall @t6 (=> @t435 (=> (forall @t255 (=> (and @t78 (exists @t253 (and @t187 (= @t77 (tptp.set_difference @t185 @t143)))) @t424 (exists @t356 (and @t434 (= @t89 (tptp.set_difference @t354 @t143))))) @t347)) (exists @t107 (forall @t101 (= @t100 (exists @t99 (and (tptp.in @t89 @t24) @t422 (exists @t352 (and (tptp.in @t349 @t2) (= @t77 (tptp.set_difference @t349 @t143))))))))))))) % 42.41/42.67 (assume @p321 (forall @t6 (=> @t375 (=> @t374 (exists @t107 (forall @t101 (= @t100 (exists @t99 (and @t438 @t438 @t437))))))))) % 42.41/42.67 (assume @p322 (forall @t6 (=> @t375 (forall @t107 (=> (forall @t419 (=> (and @t347 (exists @t418 (and @t417 (tptp.in @t354 @t367) @t447)) @t413 (exists @t421 (and @t444 (tptp.in @t343 @t367) @t443))) @t410)) (exists @t101 (forall @t99 (= @t122 (exists @t253 (and (tptp.in @t185 @t442) @t408 (exists @t441 (and @t440 (tptp.in @t391 @t367) @t439)))))))))))) % 42.41/42.67 (assume @p323 (forall @t6 (=> @t375 (=> @t376 (exists @t107 (forall @t101 (= @t100 (exists @t99 (and @t97 @t97 @t437))))))))) % 42.41/42.67 (assume @p324 (forall @t6 (=> @t375 (forall @t107 (=> (forall @t419 (=> (and @t347 (exists @t418 (and @t417 @t434 @t447)) @t413 (exists @t421 (and @t444 (tptp.in @t343 @t2) @t443))) @t410)) (exists @t101 (forall @t99 (= @t122 (exists @t253 (and (tptp.in @t185 @t448) @t408 (exists @t441 (and @t440 (tptp.in @t391 @t2) @t439)))))))))))) % 42.41/42.67 (assume @p325 (forall @t45 (=> @t405 (=> (forall @t419 (=> (and @t347 (exists @t418 (and (= @t89 @t416) (tptp.in (tptp.ordered_pair @t450 (tptp.apply @t41 @t349)) @t2))) @t413 (exists (@list @t348 @t343) (and (= @t185 (tptp.ordered_pair @t348 @t343)) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t348) (tptp.apply @t41 @t343)) @t2)))) @t410)) (exists @t101 (forall @t99 (= @t122 (exists @t253 (and (tptp.in @t185 @t449) @t408 (exists @t412 (and (= @t89 @t411) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t342) (tptp.apply @t41 @t393)) @t2)))))))))))) % 42.41/42.67 (assume @p326 (forall @t13 (=> (forall @t130 (=> (and @t140 @t377 @t172 @t384) @t78)) (exists @t11 (forall @t107 (= @t151 (exists @t101 (and @t156 @t427 @t377)))))))) % 42.41/42.67 (assume @p327 (forall @t45 (=> @t453 (=> (forall @t419 (=> (and @t347 @t451 @t413 (tptp.in (tptp.relation_image @t41 @t185) @t2)) @t410)) (exists @t101 (forall @t99 (= @t122 (exists @t253 (and (tptp.in @t185 @t452) @t408 @t451))))))))) % 42.41/42.67 (assume @p328 (forall @t6 (=> @t29 (=> (forall @t255 (=> (and @t78 (exists @t253 (and (tptp.ordinal @t185) @t413 @t403)) @t424 (exists @t356 (and (tptp.ordinal @t354) (= @t89 @t354) @t415))) @t347)) (exists @t107 (forall @t101 (= @t100 (exists @t99 (and (tptp.in @t89 @t454) @t422 (exists @t352 (and (tptp.ordinal @t349) (= @t77 @t349) @t423))))))))))) % 42.41/42.67 (assume @p329 (forall @t6 (=> @t359 (forall @t107 (exists @t101 (forall @t99 (= @t122 (and (tptp.in @t89 @t409) (exists @t426 (and @t455 @t403 (exists @t352 (and (= @t185 @t349) (tptp.in @t354 @t349) (forall @t351 (=> @t350 (tptp.in (tptp.ordered_pair @t354 @t348) @t2))))))))))))))) % 42.41/42.67 (assume @p330 (forall @t6 (exists @t107 (forall @t101 (= @t100 (and (tptp.in @t77 @t43) (exists @t188 (and (= @t186 @t77) @t105 (= @t185 (tptp.singleton @t89)))))))))) % 42.41/42.67 (assume @p331 (forall @t13 (=> @t32 (exists @t11 (forall @t107 (= @t151 (and (tptp.in @t41 @t144) (exists @t101 (and @t384 @t78 @t399))))))))) % 42.41/42.67 (assume @p332 (forall @t6 (=> @t307 (exists @t107 (forall @t101 (= @t100 (and @t457 @t456))))))) % 42.41/42.67 (assume @p333 (forall @t6 (=> @t433 (exists @t107 (forall @t101 (= @t100 (and @t457 @t432))))))) % 42.41/42.67 (assume @p334 (forall @t6 (=> @t435 (exists @t107 (forall @t101 (= @t100 (and (tptp.in @t77 @t24) (exists @t99 (and @t97 (= @t77 (tptp.set_difference @t89 @t143))))))))))) % 42.41/42.67 (assume @p335 (forall @t6 (=> @t375 (forall @t107 (exists @t101 (forall @t99 (= @t122 (and (tptp.in @t89 @t442) (exists @t426 (and @t455 (tptp.in @t185 @t367) @t458)))))))))) % 42.41/42.67 (assume @p336 (forall @t6 (=> @t375 (forall @t107 (exists @t101 (forall @t99 (= @t122 (and (tptp.in @t89 @t448) (exists @t426 (and @t455 @t187 @t458)))))))))) % 42.41/42.67 (assume @p337 (forall @t45 (=> @t405 (exists @t101 (forall @t99 (= @t122 (and (tptp.in @t89 @t449) (exists @t426 (and (= @t89 @t425) (tptp.in (tptp.ordered_pair @t402 @t450) @t2)))))))))) % 42.41/42.67 (assume @p338 (forall @t13 (exists @t11 (forall @t107 (= @t151 (and @t79 @t377)))))) % 42.41/42.67 (assume @p339 (forall @t45 (=> @t453 (exists @t101 (forall @t99 (= @t122 (and (tptp.in @t89 @t452) @t451))))))) % 42.41/42.67 (assume @p340 (forall @t6 (=> @t29 (exists @t107 (forall @t101 (= @t100 (and (tptp.in @t77 @t454) (exists @t99 (and @t429 @t347 @t105))))))))) % 42.41/42.67 (assume @p341 (forall @t6 (=> @t359 (=> (and (forall @t255 (=> (and @t79 @t357 @t353) @t347)) (forall @t107 (not (and @t79 (forall @t101 (not (exists @t346 (and (= @t41 @t343) @t407 @t406)))))))) (exists @t107 (and @t42 @t221 @t219 (forall @t101 (=> @t156 (exists @t397 (and (= @t77 @t393) (tptp.in @t247 @t393) (forall @t396 (=> @t395 (tptp.in (tptp.ordered_pair @t247 @t391) @t2))))))))))))) % 42.41/42.67 (assume @p342 (forall @t13 (=> (and (forall @t130 (=> (and @t3 @t361 @t360) @t78)) (forall @t11 (not (and @t3 (forall @t107 (not @t361)))))) @t461))) % 42.41/42.67 (assume @p343 (forall @t6 (=> @t375 (=> (and (forall @t255 (=> (and @t371 @t373 @t370) @t347)) (forall @t107 (not (and @t371 @t463)))) (exists @t107 (and @t42 @t221 (= @t218 @t367) (forall @t101 (=> @t368 @t462)))))))) % 42.41/42.67 (assume @p344 (forall @t6 (=> @t375 (=> (and (forall @t255 (=> (and @t151 @t373 @t370) @t347)) (forall @t107 (not (and @t151 @t463)))) (exists @t107 (and @t42 @t221 (= @t218 @t2) (forall @t101 (=> @t92 @t462)))))))) % 42.41/42.67 (assume @p345 (=> (forall @t13 (=> @t32 (=> (forall @t11 (=> @t29 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t107 (=> (tptp.element @t41 (tptp.powerset @t277)) (not (and @t199 (forall @t101 (not (and @t100 (forall @t99 (=> (and (tptp.in @t89 @t41) (tptp.subset @t77 @t89)) @t422))))))))))))) (=> @t464 (forall @t253 (=> (tptp.element @t185 @t257) @t428)))))) (forall @t13 (=> @t32 (=> @t464 (forall @t351 (=> (tptp.element @t348 @t257) (not (and (not (= @t348 tptp.empty_set)) (forall @t346 (not (and @t414 (forall @t345 (=> (and (tptp.in @t342 @t348) (tptp.subset @t343 @t342)) (= @t342 @t343))))))))))))))) % 42.41/42.67 (assume @p346 (forall @t13 @t461)) % 42.41/42.67 (assume @p347 (forall @t6 (=> @t307 (exists @t107 (and @t190 (forall @t101 (=> @t465 (= @t100 @t456)))))))) % 42.41/42.67 (assume @p348 (forall @t6 (=> @t433 (exists @t107 (and @t190 (forall @t101 (=> @t465 (= @t100 @t432)))))))) % 42.41/42.67 (assume @p349 (forall @t6 (=> @t250 (tptp.disjoint @t2 @t1)))) % 42.41/42.67 (assume @p350 (forall @t6 (=> @t222 (tptp.equipotent @t2 @t1)))) % 42.41/42.67 (assume @p351 (forall @t13 (tptp.in @t1 @t144))) % 42.41/42.67 (assume @p352 (forall @t6 (=> @t258 (and @t467 (not (and (not @t466) @t134)))))) % 42.41/42.67 (assume @p353 (forall @t123 (not (and (= @t54 (tptp.unordered_pair @t41 @t77)) (not @t468) (not (= @t1 @t77)))))) % 42.41/42.67 (assume @p354 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t41))) (and @t5 (tptp.in @t1 @t217)))))) % 42.41/42.67 (assume @p355 (forall @t6 (=> @t85 (tptp.subset @t469 @t1)))) % 42.41/42.67 (assume @p356 (forall @t6 (=> @t85 (tptp.subset @t106 @t2)))) % 42.41/42.67 (assume @p357 (forall @t6 (=> @t85 (tptp.subset @t469 @t125)))) % 42.41/42.67 (assume @p358 (forall @t45 (=> @t87 (and (tptp.subset @t409 @t448) (tptp.subset (tptp.cartesian_product2 @t41 @t1) (tptp.cartesian_product2 @t41 @t2)))))) % 42.41/42.67 (assume @p359 (forall @t6 (=> @t85 (= @t469 (tptp.set_intersection2 @t125 @t1))))) % 42.41/42.67 (assume @p360 (forall @t123 (=> (and @t87 @t165) (tptp.subset @t409 (tptp.cartesian_product2 @t2 @t77))))) % 42.41/42.67 (assume @p361 (forall @t6 (=> @t258 (=> @t169 (= @t470 (tptp.subset_complement @t1 @t279)))))) % 42.41/42.67 (assume @p362 (forall @t45 (=> @t136 (and (tptp.subset @t218 @t1) (tptp.subset @t217 @t2))))) % 42.41/42.67 (assume @p363 (forall @t6 (=> @t258 (=> @t169 (= @t471 (tptp.subset_complement @t1 @t281)))))) % 42.41/42.67 (assume @p364 (forall @t6 (=> @t87 (= @t56 @t2)))) % 42.41/42.67 (assume @p365 (forall @t13 (exists @t11 (and @t5 @t474 (forall @t107 (=> @t151 (tptp.in @t473 @t2))) @t472)))) % 42.41/42.67 (assume @p366 (forall @t13 (=> @t339 (= @t192 (forall @t11 (=> @t149 (not (and (tptp.centered @t2) @t183 (= @t475 tptp.empty_set))))))))) % 42.41/42.67 (assume @p367 (forall @t6 (=> (and @t87 @t49) @t33))) % 42.41/42.67 (assume @p368 (forall @t13 (=> @t159 (forall @t11 (=> @t149 (= (tptp.finite @t367) @t49)))))) % 42.41/42.67 (assume @p369 (forall @t45 (=> @t42 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t41) @t2) (tptp.relation_rng_restriction @t1 @t476))))) % 42.41/42.67 (assume @p370 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_image @t41 @t2)) (exists @t101 (and (tptp.in @t77 @t218) (tptp.in (tptp.ordered_pair @t77 @t1) @t41) @t92)))))) % 42.41/42.67 (assume @p371 (forall @t6 (=> @t85 (tptp.subset @t477 @t125)))) % 42.41/42.67 (assume @p372 (forall @t6 (=> @t319 (tptp.subset @t479 @t1)))) % 42.41/42.67 (assume @p373 (forall @t6 (=> @t85 (= @t477 (tptp.relation_image @t2 @t480))))) % 42.41/42.67 (assume @p374 (forall @t6 (=> @t85 (=> (tptp.subset @t1 @t124) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t477)))))) % 42.41/42.67 (assume @p375 (forall @t13 (=> @t40 (= (tptp.relation_image @t1 @t98) @t226)))) % 42.41/42.67 (assume @p376 (forall @t6 (=> @t319 (=> @t481 (= @t479 @t1))))) % 42.41/42.67 (assume @p377 (forall @t123 (=> @t484 (=> (tptp.subset @t483 @t2) @t482)))) % 42.41/42.67 (assume @p378 (forall @t13 (=> @t159 (forall @t11 (=> @t117 (= (tptp.subset_intersection2 @t58 @t2 @t197) @t2)))))) % 42.41/42.67 (assume @p379 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (= @t485 (tptp.relation_image @t2 @t226))))))) % 42.41/42.67 (assume @p380 (forall @t45 (=> @t42 (= (tptp.in @t1 @t486) (exists @t101 (and (tptp.in @t77 @t217) (tptp.in (tptp.ordered_pair @t1 @t77) @t41) @t92)))))) % 42.41/42.67 (assume @p381 (forall @t6 (=> @t85 (tptp.subset @t478 @t124)))) % 42.41/42.67 (assume @p382 (forall @t123 (=> @t484 (=> @t87 @t482)))) % 42.41/42.67 (assume @p383 (forall @t13 (=> @t118 (forall @t11 (=> @t149 (= @t183 (tptp.open_subsets @t367 @t1))))))) % 42.41/42.67 (assume @p384 (forall @t45 (=> @t42 (= (tptp.in @t1 @t487) (and @t334 (tptp.in @t1 @t243)))))) % 42.41/42.67 (assume @p385 (forall @t6 (=> @t85 (not (and @t157 @t481 (= @t478 tptp.empty_set)))))) % 42.41/42.67 (assume @p386 (forall @t45 (=> @t42 (=> @t87 (tptp.subset (tptp.relation_inverse_image @t41 @t1) @t486))))) % 42.41/42.67 (assume @p387 (forall @t6 (=> @t319 (=> @t33 (tptp.finite @t477))))) % 42.41/42.67 (assume @p388 (forall @t13 (=> @t159 (forall @t11 (=> @t117 (= @t160 @t239)))))) % 42.41/42.67 (assume @p389 (forall @t13 (=> @t118 (forall @t11 (=> @t149 (= @t163 (tptp.closed_subsets @t367 @t1))))))) % 42.41/42.67 (assume @p390 (forall @t6 (=> @t85 (= @t488 (tptp.relation_dom_restriction @t106 @t1))))) % 42.41/42.67 (assume @p391 (forall @t6 (tptp.subset @t67 @t1))) % 42.41/42.67 (assume @p392 (forall @t13 (=> @t33 (forall @t11 (=> @t258 (not (and @t169 (forall @t107 (not (and @t151 (forall @t101 (=> (and @t92 @t165) @t427)))))))))))) % 42.41/42.67 (assume @p393 (forall @t6 (=> @t85 (= @t488 (tptp.relation_rng_restriction @t1 @t489))))) % 42.41/42.67 (assume @p394 (forall @t45 (=> @t42 (=> (tptp.in @t1 (tptp.relation_field @t487)) (and @t491 @t5))))) % 42.41/42.67 (assume @p395 (forall @t45 (=> (and @t87 @t492) (tptp.subset @t1 @t340)))) % 42.41/42.67 (assume @p396 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 42.41/42.67 (assume @p397 (forall @t6 (=> @t5 @t493))) % 42.41/42.67 (assume @p398 (forall @t45 (=> (and @t87 @t400) @t492))) % 42.41/42.67 (assume @p399 (= @t401 (tptp.singleton tptp.empty_set))) % 42.41/42.67 (assume @p400 (forall @t45 (=> @t42 (=> @t495 (and @t494 (tptp.in @t2 @t217)))))) % 42.41/42.67 (assume @p401 (forall @t6 (=> @t85 (and (tptp.subset @t496 @t166) (tptp.subset @t496 @t1))))) % 42.41/42.67 (assume @p402 (forall @t6 (=> @t319 (forall @t107 (=> @t249 (= @t499 (and @t494 (tptp.in @t497 @t124)))))))) % 42.41/42.67 (assume @p403 (forall @t123 (=> @t501 (forall @t99 (=> (and (tptp.relation @t89) (tptp.function @t89)) (=> @t79 (or @t134 (= (tptp.apply (tptp.relation_composition @t77 @t89) @t41) (tptp.apply @t89 @t500))))))))) % 42.41/42.67 (assume @p404 (forall @t13 (=> @t38 (forall @t11 (=> @t29 (=> @t8 @t5)))))) % 42.41/42.67 (assume @p405 (forall @t13 (=> @t40 (tptp.subset @t1 (tptp.cartesian_product2 @t98 @t226))))) % 42.41/42.67 (assume @p406 (forall @t45 (=> @t42 (tptp.subset (tptp.fiber (tptp.relation_restriction @t41 @t1) @t2) (tptp.fiber @t41 @t2))))) % 42.41/42.67 (assume @p407 (forall @t6 (=> @t319 (forall @t107 (=> @t249 (=> @t499 (= (tptp.apply @t498 @t1) (tptp.apply @t2 @t497)))))))) % 42.41/42.67 (assume @p408 (forall @t13 (=> @t159 (forall @t11 (=> @t117 (= (tptp.subset_difference @t58 @t197 @t239) @t2)))))) % 42.41/42.67 (assume @p409 (forall @t45 (=> (tptp.relation_of2_as_subset @t41 @t2 @t1) (= (forall @t101 (not (and @t92 (forall @t99 (not @t93))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t41) @t2))))) % 42.41/42.67 (assume @p410 (forall @t6 (=> @t85 (=> @t502 (tptp.reflexive @t488))))) % 42.41/42.67 (assume @p411 (forall @t6 (=> @t319 (forall @t107 (=> @t249 (=> (tptp.in @t1 @t124) (= (tptp.apply (tptp.relation_composition @t2 @t41) @t1) (tptp.apply @t41 (tptp.apply @t2 @t1))))))))) % 42.41/42.67 (assume @p412 (forall @t13 (=> (and @t64 @t70 @t251 @t252) (forall @t11 (=> @t60 (forall @t107 (=> @t59 (tptp.below @t1 @t68 @t2)))))))) % 42.41/42.67 (assume @p413 (forall @t6 (=> @t29 (=> @t5 @t32)))) % 42.41/42.67 (assume @p414 (forall @t45 (=> @t136 (= (forall @t101 (not (and @t92 (forall @t99 (not (tptp.in @t119 @t41)))))) (= @t278 @t2))))) % 42.41/42.67 (assume @p415 (forall @t6 (=> @t85 (=> @t503 (tptp.connected @t488))))) % 42.41/42.67 (assume @p416 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (not (and @t327 @t259 @t4))))))) % 42.41/42.67 (assume @p417 (forall @t6 (=> @t85 (=> @t504 (tptp.transitive @t488))))) % 42.41/42.67 (assume @p418 @t514) % 42.41/42.67 (assume @p419 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (=> @t87 (and (tptp.subset @t98 @t124) (tptp.subset @t226 @t125)))))))) % 42.41/42.67 (assume @p420 (forall @t6 (=> @t85 (=> @t515 (tptp.antisymmetric @t488))))) % 42.41/42.67 (assume @p421 (forall @t6 (=> @t85 (=> @t518 (and @t517 @t516))))) % 42.41/42.67 (assume @p422 (forall @t13 (=> @t104 (=> (tptp.finite @t98) (tptp.finite @t226))))) % 42.41/42.67 (assume @p423 (forall @t13 (=> (and @t64 @t62 @t61) (forall @t11 (=> @t60 (forall @t107 (=> @t59 (=> (and @t193 (tptp.below @t1 @t41 @t2)) @t140)))))))) % 42.41/42.67 (assume @p424 (forall @t13 (exists @t11 (and @t85 @t518)))) % 42.41/42.67 (assume @p425 (forall @t45 (=> @t87 (tptp.subset (tptp.set_intersection2 @t1 @t41) @t340)))) % 42.41/42.67 (assume @p426 (forall @t13 (=> @t178 (not (and (forall @t11 (not (and @t3 @t134))) (forall @t11 (=> @t319 (not (and @t460 (forall @t107 (=> @t79 (tptp.in @t459 @t41)))))))))))) % 42.41/42.67 (assume @p427 (forall @t6 (=> @t87 (= @t67 @t1)))) % 42.41/42.67 (assume @p428 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (= @t240 @t316)))))) % 42.41/42.67 (assume @p429 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 42.41/42.67 (assume @p430 @t520) % 42.41/42.67 (assume @p431 (forall @t6 (=> (forall @t107 (= @t79 @t151)) @t88))) % 42.41/42.67 (assume @p432 (forall @t13 (tptp.reflexive @t167))) % 42.41/42.67 (assume @p433 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 42.41/42.67 (assume @p434 (forall @t45 (=> @t42 (=> @t495 (and @t491 (tptp.in @t2 @t490)))))) % 42.41/42.67 (assume @p435 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (= @t229 @t318)))))) % 42.41/42.67 (assume @p436 (forall @t13 (=> (forall @t11 (=> @t3 (and @t29 @t86))) @t32))) % 42.41/42.67 (assume @p437 (forall @t6 (=> @t85 (=> @t521 (tptp.well_founded_relation @t488))))) % 42.41/42.67 (assume @p438 (forall @t6 (=> @t29 (not (and @t87 @t157 (forall @t107 (=> @t377 (not (and @t79 (forall @t101 (=> @t384 (=> @t156 (tptp.ordinal_subset @t41 @t77))))))))))))) % 42.41/42.67 (assume @p439 (forall @t6 (=> @t85 (=> @t328 @t516)))) % 42.41/42.67 (assume @p440 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (= @t5 (tptp.ordinal_subset @t144 @t2))))))) % 42.41/42.67 (assume @p441 (forall @t45 (=> @t87 (tptp.subset (tptp.set_difference @t1 @t41) @t341)))) % 42.41/42.67 (assume @p442 (forall @t123 (=> (= @t231 @t80) (and @t468 @t172)))) % 42.41/42.67 (assume @p443 (forall @t6 (=> @t319 (= @t84 (and @t460 (forall @t107 (=> @t79 (= @t459 @t41)))))))) % 42.41/42.67 (assume @p444 (forall @t6 (=> @t3 (= (tptp.apply @t83 @t2) @t2)))) % 42.41/42.67 (assume @p445 (forall @t6 (tptp.subset @t224 @t1))) % 42.41/42.67 (assume @p446 (forall @t13 (=> @t40 (and (= @t226 (tptp.relation_dom @t245)) (= @t98 (tptp.relation_rng @t245)))))) % 42.41/42.67 (assume @p447 (forall @t45 (= (tptp.subset @t54 @t41) (and @t334 @t196)))) % 42.41/42.67 (assume @p448 (forall @t6 (=> @t85 (=> (and @t328 (tptp.subset @t1 @t166)) @t517)))) % 42.41/42.67 (assume @p449 (forall @t6 (= @t522 @t56))) % 42.41/42.67 (assume @p450 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 42.41/42.67 (assume @p451 (forall @t45 (not (and @t5 @t196 @t79)))) % 42.41/42.67 (assume @p452 (forall @t6 (= @t335 @t87))) % 42.41/42.67 (assume @p453 (forall @t13 (tptp.transitive @t167))) % 42.41/42.67 (assume @p454 (forall @t6 (and (not (and @t524 (forall @t107 (not @t523)))) (not (and (exists @t107 @t523) @t250))))) % 42.41/42.67 (assume @p455 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t133))) % 42.41/42.67 (assume @p456 (forall @t6 (= (tptp.set_difference @t56 @t2) @t224))) % 42.41/42.67 (assume @p457 (forall @t13 (=> @t32 (= @t228 (forall @t11 (=> @t29 (=> @t3 (tptp.in @t454 @t1)))))))) % 42.41/42.67 (assume @p458 (forall @t13 (=> @t32 (and (not (and (not @t228) (forall @t11 (=> @t29 (not @t525))))) (not (and (exists @t11 (and @t29 @t525)) @t228)))))) % 42.41/42.67 (assume @p459 (forall @t6 (=> @t25 (forall @t107 (=> @t73 (= @t527 (tptp.subset @t2 @t526))))))) % 42.41/42.67 (assume @p460 (forall @t13 (=> @t320 (forall @t11 (=> @t149 (=> @t182 (tptp.closed_subset @t475 @t1))))))) % 42.41/42.67 (assume @p461 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (tptp.subset @t528 @t98)))))) % 42.41/42.67 (assume @p462 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (tptp.subset @t161 @t2)))))) % 42.41/42.67 (assume @p463 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (forall @t107 (=> (tptp.in @t41 @t58) (= (tptp.in @t41 @t115) (forall @t101 (=> @t465 (=> @t529 @t155))))))))))) % 42.41/42.67 (assume @p464 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (tptp.subset @t485 @t125)))))) % 42.41/42.67 (assume @p465 (forall @t6 (=> @t87 (= @t2 @t522)))) % 42.41/42.67 (assume @p466 (forall @t123 (=> @t501 (=> @t169 (forall @t99 (= (tptp.in @t89 (tptp.relation_inverse_image @t77 @t41)) (and @t105 (tptp.in (tptp.apply @t77 @t89) @t41)))))))) % 42.41/42.67 (assume @p467 (forall @t13 (=> @t320 (forall @t11 (=> @t117 (exists @t107 (and @t190 (forall @t101 (=> @t465 (= @t100 @t529))) (= @t115 (tptp.meet_of_subsets @t58 @t41))))))))) % 42.41/42.67 (assume @p468 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (=> (tptp.subset @t226 @t124) (= @t528 @t98))))))) % 42.41/42.67 (assume @p469 (forall @t6 (=> @t258 @t467))) % 42.41/42.67 (assume @p470 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (=> (tptp.subset @t98 @t125) (= (tptp.relation_rng @t290) @t226))))))) % 42.41/42.67 (assume @p471 (forall @t6 (=> @t258 (=> @t169 (= (tptp.subset_difference @t1 @t213 @t279) @t470))))) % 42.41/42.67 (assume @p472 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (tptp.subset @t2 @t115)))))) % 42.41/42.67 (assume @p473 (forall @t6 (=> @t258 (=> @t169 (= @t471 (tptp.subset_difference @t1 @t213 @t281)))))) % 42.41/42.67 (assume @p474 (forall @t6 (= (tptp.set_difference @t1 @t224) @t67))) % 42.41/42.67 (assume @p475 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (forall @t107 (=> @t249 (=> @t248 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t41)))))))))) % 42.41/42.67 (assume @p476 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 42.41/42.67 (assume @p477 (forall @t45 (=> (and @t5 @t530) (tptp.element @t1 @t41)))) % 42.41/42.67 (assume @p478 (forall @t13 (=> @t32 (tptp.connected @t167)))) % 42.41/42.67 (assume @p479 (forall @t6 (and (not (and @t524 (forall @t107 (not @t531)))) (not (and (exists @t107 @t531) @t250))))) % 42.41/42.67 (assume @p480 (forall @t13 (=> @t157 (forall @t11 (=> @t25 (forall @t107 (=> (tptp.element @t41 @t1) (=> @t194 (tptp.in @t41 @t230))))))))) % 42.41/42.67 (assume @p481 (forall @t13 (=> @t320 (forall @t11 (=> @t117 @t324))))) % 42.41/42.67 (assume @p482 (forall @t13 (=> @t118 (forall @t11 (=> @t117 (and (=> @t240 @t532) (=> (and @t150 @t532) @t240))))))) % 42.41/42.67 (assume @p483 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (forall @t107 (=> @t249 (=> @t248 (and (=> @t215 @t502) (=> @t121 @t504) (=> @t120 @t503) (=> @t109 @t515) (=> @t184 @t521)))))))))) % 42.41/42.67 (assume @p484 (forall @t13 (=> @t104 (=> @t50 (forall @t11 (=> @t319 (= (= @t2 @t260) (and (= @t124 @t226) (forall @t82 (and (=> @t533 @t225) (=> @t225 @t533))))))))))) % 42.41/42.67 (assume @p485 (forall @t45 (=> @t73 (not (and (tptp.in @t2 @t526) @t196))))) % 42.41/42.67 (assume @p486 (forall @t13 (=> @t40 (forall @t11 (=> @t85 (forall @t107 (=> @t249 (=> (and @t216 @t248) @t328)))))))) % 42.41/42.67 (assume @p487 (forall @t13 (=> @t104 (=> @t50 (and (= @t226 (tptp.relation_dom @t260)) (= @t98 (tptp.relation_rng @t260))))))) % 42.41/42.67 (assume @p488 (forall @t13 (=> @t320 (forall @t11 (=> (tptp.top_str @t2) (forall @t107 (=> @t116 (forall @t101 (=> (tptp.element @t77 (tptp.powerset (tptp.the_carrier @t2))) (and (=> (tptp.open_subset @t77 @t2) (= (tptp.interior @t2 @t77) @t77)) (=> (= (tptp.interior @t1 @t41) @t41) @t162))))))))))) % 42.41/42.67 (assume @p489 (forall @t13 (=> @t40 (=> (forall @t96 @t331) @t133)))) % 42.41/42.67 (assume @p490 (forall @t6 (=> @t319 (=> (and @t338 (tptp.in @t1 @t125)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t534 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t534 @t2) @t1))))))) % 42.41/42.67 (assume @p491 (forall @t45 (not (and @t5 @t530 (tptp.empty @t41))))) % 42.41/42.67 (assume @p492 (forall @t13 (=> @t300 (forall @t11 (=> @t149 (not (and @t191 @t134))))))) % 42.41/42.67 (assume @p493 (forall @t13 (=> @t40 (= @t184 (tptp.is_well_founded_in @t1 @t108))))) % 42.41/42.67 (assume @p494 (forall @t13 (tptp.antisymmetric @t167))) % 42.41/42.67 (assume @p495 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 42.41/42.67 (assume @p496 (forall @t6 (not (and @t87 @t7)))) % 42.41/42.67 (assume @p497 (forall @t13 (=> @t104 (=> @t50 (tptp.one_to_one @t260))))) % 42.41/42.67 (assume @p498 (forall @t45 (=> (and @t87 @t527) (tptp.disjoint @t1 @t41)))) % 42.41/42.67 (assume @p499 (forall @t13 (=> @t40 (=> (or @t536 @t535) @t133)))) % 42.41/42.67 (assume @p500 (forall @t13 (=> @t40 (= @t536 @t535)))) % 42.41/42.67 (assume @p501 (forall @t6 (= (= (tptp.set_difference @t1 @t332) @t1) @t4))) % 42.41/42.67 (assume @p502 (forall @t6 (=> @t319 (forall @t107 (=> @t249 (= (= @t2 @t336) (and (= @t124 (tptp.set_intersection2 @t218 @t1)) (forall @t101 (=> (tptp.in @t77 @t124) (= (tptp.apply @t2 @t77) @t247)))))))))) % 42.41/42.67 (assume @p503 (forall @t13 (= (tptp.unordered_pair @t1 @t1) @t143))) % 42.41/42.67 (assume @p504 (forall @t13 (=> @t22 @t133))) % 42.41/42.67 (assume @p505 (forall @t123 (=> @t501 (=> @t79 (or @t134 (tptp.in @t500 @t483)))))) % 42.41/42.67 (assume @p506 (forall @t13 (=> @t32 (tptp.well_founded_relation @t167)))) % 42.41/42.67 (assume @p507 (forall @t6 (=> (tptp.subset @t143 @t332) @t88))) % 42.41/42.67 (assume @p508 (forall @t45 (=> @t249 (=> @t337 @t537)))) % 42.41/42.67 (assume @p509 (forall @t13 (and (= (tptp.relation_dom @t83) @t1) (= (tptp.relation_rng @t83) @t1)))) % 42.41/42.67 (assume @p510 (forall @t45 (=> @t249 (=> @t3 @t537)))) % 42.41/42.67 (assume @p511 (forall @t123 (=> @t404 (= (tptp.in @t231 (tptp.relation_composition (tptp.identity_relation @t41) @t77)) (and @t334 (tptp.in @t231 @t77)))))) % 42.41/42.67 (assume @p512 (forall @t6 (not (and @t5 @t175)))) % 42.41/42.67 (assume @p513 (forall @t6 (and (= (tptp.pair_first @t231) @t1) (= (tptp.pair_second @t231) @t2)))) % 42.41/42.67 (assume @p514 (forall @t6 (not (and @t5 (forall @t107 (not (and @t151 (forall @t101 (not (and @t92 @t100)))))))))) % 42.41/42.67 (assume @p515 (forall @t13 (=> @t32 (tptp.well_ordering @t167)))) % 42.41/42.67 (assume @p516 (forall @t6 (tptp.subset @t1 @t56))) % 42.41/42.67 (assume @p517 (forall @t6 (= @t250 (= @t224 @t1)))) % 42.41/42.67 (assume @p518 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_dom @t476)) (and @t5 @t494))))) % 42.41/42.67 (assume @p519 (forall @t6 (=> @t85 (tptp.subset @t489 @t2)))) % 42.41/42.67 (assume @p520 @t538) % 42.41/42.67 (assume @p521 (forall @t45 (=> @t249 (= @t495 (and @t494 (= @t2 @t497)))))) % 42.41/42.67 (assume @p522 (forall @t13 (=> @t40 (= (tptp.well_orders @t1 @t108) @t216)))) % 42.41/42.67 (assume @p523 (forall @t45 (=> (and @t87 @t189) (tptp.subset (tptp.set_union2 @t1 @t41) @t2)))) % 42.41/42.67 (assume @p524 (forall @t45 (=> @t539 @t88))) % 42.41/42.67 (assume @p525 (forall @t6 (=> @t85 (= (tptp.relation_dom @t489) @t480)))) % 42.41/42.67 (assume @p526 (forall @t6 (=> @t85 (= @t489 (tptp.relation_composition @t83 @t2))))) % 42.41/42.67 (assume @p527 (forall @t6 (=> @t85 (tptp.subset (tptp.relation_rng @t489) @t125)))) % 42.41/42.67 (assume @p528 (forall @t13 (= (tptp.union @t24) @t1))) % 42.41/42.67 (assume @p529 (forall @t123 (=> @t501 (=> @t400 (or (and @t134 @t157) (and @t270 (tptp.quasi_total @t77 @t1 @t41) (tptp.relation_of2_as_subset @t77 @t1 @t41))))))) % 42.41/42.67 (assume @p530 (forall @t13 (exists @t11 (and @t5 @t474 (forall @t107 (not (and @t151 (forall @t101 (not (and @t92 (forall @t99 (=> (tptp.subset @t89 @t41) @t122)))))))) @t472)))) % 42.41/42.67 (assume @p531 (forall @t45 (=> @t539 @t140))) % 42.41/42.67 (step @p532 :rule quant-merge-prenex :args ((= (forall @t13 @t545) (forall (@list @t1 @t540) @t543)))) % 42.41/42.67 (step @p533 :rule alpha_equiv :args (@t546 (@list @t540) (@list @t2))) % 42.41/42.67 (step @p534 :rule refl :args (@t542)) % 42.41/42.67 (step @p535 :rule nary_cong :premises (@p534 @p533) :args (@t547)) % 42.41/42.67 (step @p536 :rule quant-miniscope-or :args ((= @t545 @t547))) % 42.41/42.67 (step @p537 :rule trans :premises (@p536 @p535)) % 42.41/42.67 (step @p538 :rule symm :premises (@p537)) % 42.41/42.67 (step @p539 :rule cong :premises (@p538) :args ((forall @t13 (or @t542 @t549)))) % 42.41/42.67 (step @p540 :rule trans :premises (@p539 @p532)) % 42.41/42.67 (step @p541 :rule bool-impl-elim :args (@t40 @t549)) % 42.41/42.67 (step @p542 :rule cong :premises (@p541) :args ((forall @t13 (=> @t40 @t549)))) % 42.41/42.67 (step @p543 :rule trans :premises (@p542 @p540)) % 42.41/42.67 (step @p544 :rule aci_norm :args ((= (or @t550 @t78) @t548))) % 42.41/42.67 (step @p545 :rule refl :args (@t78)) % 42.41/42.67 (step @p546 :rule aci_norm :args ((= (or @t194 (or @t223 (or @t242 @t241))) @t550))) % 42.41/42.67 (step @p547 :rule bool-and-de-morgan :args (@t174 @t205 true)) % 42.41/42.67 (step @p548 :rule refl :args (@t223)) % 42.41/42.67 (step @p549 :rule nary_cong :premises (@p548 @p547) :args ((or @t223 (not (and @t174 @t205))))) % 42.41/42.67 (step @p550 :rule bool-and-de-morgan :args (@t92 @t174 (and @t205))) % 42.41/42.67 (step @p551 :rule trans :premises (@p550 @p549)) % 42.41/42.67 (step @p552 :rule refl :args (@t194)) % 42.41/42.67 (step @p553 :rule nary_cong :premises (@p552 @p551) :args ((or @t194 (not (and @t92 @t174 @t205))))) % 42.41/42.67 (step @p554 :rule bool-and-de-morgan :args (@t151 @t92 (and @t174 @t205))) % 42.41/42.67 (step @p555 :rule trans :premises (@p554 @p553)) % 42.41/42.67 (step @p556 :rule trans :premises (@p555 @p546)) % 42.41/42.67 (step @p557 :rule nary_cong :premises (@p556 @p545) :args ((or (not @t206) @t78))) % 42.41/42.67 (step @p558 :rule trans :premises (@p557 @p544)) % 42.41/42.67 (step @p559 :rule bool-impl-elim :args (@t206 @t78)) % 42.41/42.67 (step @p560 :rule trans :premises (@p559 @p558)) % 42.41/42.67 (step @p561 :rule cong :premises (@p560) :args (@t207)) % 42.41/42.67 (step @p562 :rule refl :args (@t208)) % 42.41/42.67 (step @p563 :rule cong :premises (@p562 @p561) :args (@t209)) % 42.41/42.67 (step @p564 :rule cong :premises (@p563) :args (@t210)) % 42.41/42.67 (step @p565 :rule refl :args (@t40)) % 42.41/42.67 (step @p566 :rule cong :premises (@p565 @p564) :args (@t211)) % 42.41/42.67 (step @p567 :rule cong :premises (@p566) :args (@t212)) % 42.41/42.67 (step @p568 :rule trans :premises (@p567 @p543)) % 42.41/42.67 (step @p569 :rule eq_resolve :premises (@p94 @p568)) % 42.41/42.67 (step @p570 :rule instantiate :premises (@p569) :args ((@list @t565 @t564))) % 42.41/42.67 (step @p571 :rule bool-impl-elim :args (@t44 @t42)) % 42.41/42.67 (step @p572 :rule cong :premises (@p571) :args (@t46)) % 42.41/42.67 (step @p573 :rule eq_resolve :premises (@p20 @p572)) % 42.41/42.67 (step @p574 :rule instantiate :premises (@p573) :args (@t566)) % 42.41/42.67 (step @p575 :rule bool-impl-elim :args (@t136 @t44)) % 42.41/42.67 (step @p576 :rule cong :premises (@p575) :args (@t285)) % 42.41/42.67 (step @p577 :rule eq_resolve :premises (@p158 @p576)) % 42.41/42.67 (step @p578 :rule instantiate :premises (@p577) :args (@t566)) % 42.41/42.67 (step @p579 :rule bool-impl-elim :args (@t237 @t287)) % 42.41/42.67 (step @p580 :rule cong :premises (@p579) :args (@t288)) % 42.41/42.67 (step @p581 :rule eq_resolve :premises (@p160 @p580)) % 42.41/42.67 (step @p582 :rule instantiate :premises (@p581) :args (@t567)) % 42.41/42.67 (step @p583 :rule aci_norm :args ((= @t569 @t560))) % 42.41/42.67 (step @p584 :rule cong :premises (@p583) :args (@t570)) % 42.41/42.67 (step @p585 :rule quant-merge-prenex :args ((= (forall @t13 @t572) @t570))) % 42.41/42.67 (step @p586 :rule alpha_equiv :args (@t573 (@list @t552 @t551) (@list @t2 @t574))) % 42.41/42.67 (step @p587 :rule refl :args (@t558)) % 42.41/42.67 (step @p588 :rule refl :args (@t559)) % 42.41/42.67 (step @p589 :rule nary_cong :premises (@p588 @p587 @p586) :args (@t575)) % 42.41/42.67 (step @p590 :rule quant-miniscope-or :args ((= @t572 @t575))) % 42.41/42.67 (step @p591 :rule trans :premises (@p590 @p589)) % 42.41/42.67 (step @p592 :rule symm :premises (@p591)) % 42.41/42.67 (step @p593 :rule cong :premises (@p592) :args ((forall @t13 @t584))) % 42.41/42.67 (step @p594 :rule trans :premises (@p593 @p585)) % 42.41/42.67 (step @p595 :rule trans :premises (@p594 @p584)) % 42.41/42.67 (step @p596 :rule aci_norm :args ((= (or (or @t559 @t558) @t583) @t584))) % 42.41/42.67 (step @p597 :rule refl :args (@t583)) % 42.41/42.67 (step @p598 :rule bool-and-de-morgan :args (@t235 @t237 true)) % 42.41/42.67 (step @p599 :rule nary_cong :premises (@p598 @p597) :args ((or (not @t511) @t583))) % 42.41/42.67 (step @p600 :rule trans :premises (@p599 @p596)) % 42.41/42.67 (step @p601 :rule bool-impl-elim :args (@t511 @t583)) % 42.41/42.67 (step @p602 :rule trans :premises (@p601 @p600)) % 42.41/42.67 (step @p603 :rule cong :premises (@p602) :args ((forall @t13 (=> @t511 @t583)))) % 42.41/42.67 (step @p604 :rule trans :premises (@p603 @p595)) % 42.41/42.67 (step @p605 :rule aci_norm :args ((= @t586 @t581))) % 42.41/42.67 (step @p606 :rule cong :premises (@p605) :args (@t587)) % 42.41/42.67 (step @p607 :rule quant-merge-prenex :args ((= (forall @t11 @t589) @t587))) % 42.41/42.67 (step @p608 :rule alpha_equiv :args (@t590 (@list @t574) @t591)) % 42.41/42.67 (step @p609 :rule refl :args (@t580)) % 42.41/42.67 (step @p610 :rule nary_cong :premises (@p609 @p608) :args (@t592)) % 42.41/42.67 (step @p611 :rule quant-miniscope-or :args ((= @t589 @t592))) % 42.41/42.67 (step @p612 :rule trans :premises (@p611 @p610)) % 42.41/42.67 (step @p613 :rule symm :premises (@p612)) % 42.41/42.67 (step @p614 :rule cong :premises (@p613) :args ((forall @t11 (or @t580 @t597)))) % 42.41/42.67 (step @p615 :rule trans :premises (@p614 @p607)) % 42.41/42.67 (step @p616 :rule trans :premises (@p615 @p606)) % 42.41/42.67 (step @p617 :rule bool-impl-elim :args (@t60 @t597)) % 42.41/42.67 (step @p618 :rule cong :premises (@p617) :args ((forall @t11 (=> @t60 @t597)))) % 42.41/42.67 (step @p619 :rule trans :premises (@p618 @p616)) % 42.41/42.67 (step @p620 :rule aci_norm :args ((= (or @t595 @t598) @t596))) % 42.41/42.67 (step @p621 :rule aci_norm :args ((= (or (or @t594 @t593) @t140) @t598))) % 42.41/42.67 (step @p622 :rule refl :args (@t140)) % 42.41/42.67 (step @p623 :rule bool-and-de-morgan :args (@t261 @t505 true)) % 42.41/42.67 (step @p624 :rule nary_cong :premises (@p623 @p622) :args ((or (not @t506) @t140))) % 42.41/42.67 (step @p625 :rule trans :premises (@p624 @p621)) % 42.41/42.67 (step @p626 :rule bool-impl-elim :args (@t506 @t140)) % 42.41/42.67 (step @p627 :rule trans :premises (@p626 @p625)) % 42.41/42.67 (step @p628 :rule refl :args (@t595)) % 42.41/42.67 (step @p629 :rule nary_cong :premises (@p628 @p627) :args ((or @t595 @t507))) % 42.41/42.67 (step @p630 :rule trans :premises (@p629 @p620)) % 42.41/42.67 (step @p631 :rule bool-impl-elim :args (@t59 @t507)) % 42.41/42.67 (step @p632 :rule trans :premises (@p631 @p630)) % 42.41/42.67 (step @p633 :rule cong :premises (@p632) :args (@t508)) % 42.41/42.67 (step @p634 :rule refl :args (@t60)) % 42.41/42.67 (step @p635 :rule cong :premises (@p634 @p633) :args (@t509)) % 42.41/42.67 (step @p636 :rule cong :premises (@p635) :args (@t510)) % 42.41/42.67 (step @p637 :rule trans :premises (@p636 @p619)) % 42.41/42.67 (step @p638 :rule refl :args (@t511)) % 42.41/42.67 (step @p639 :rule cong :premises (@p638 @p637) :args (@t512)) % 42.41/42.67 (step @p640 :rule cong :premises (@p639) :args (@t513)) % 42.41/42.67 (step @p641 :rule trans :premises (@p640 @p604)) % 42.41/42.67 (step @p642 :rule cong :premises (@p641) :args (@t514)) % 42.41/42.67 (step @p643 :rule eq_resolve :premises (@p418 @p642)) % 42.41/42.67 (step @p644 :rule skolemize :premises (@p643)) % 42.41/42.67 (step @p645 :rule bool-double-not-elim :args (@t599)) % 42.41/42.67 (step @p646 :rule refl :args (@t614)) % 42.41/42.67 (step @p647 :rule nary_cong :premises (@p646 @p645) :args ((or @t614 (not @t611)))) % 42.41/42.67 (step @p648 :rule cnf_or_neg :args (@t614 1)) % 42.41/42.67 (step @p649 :rule eq_resolve :premises (@p648 @p647)) % 42.41/42.67 (step @p650 :rule reordering :premises (@p649) :args ((or @t599 @t614))) % 42.41/42.67 (step @p651 :rule chain_m_resolution :premises (@p650 @p644) :args (@t599 @t615 @t616)) % 42.41/42.67 (step @p652 :rule cnf_or_pos :args (@t618)) % 42.41/42.67 (step @p653 :rule reordering :premises (@p652) :args ((or @t611 @t617 (not @t618)))) % 42.41/42.67 (step @p654 :rule chain_m_resolution :premises (@p653 @p651 @p582) :args (@t617 @t619 (@list @t599 @t618))) % 42.41/42.67 (step @p655 :rule cnf_or_pos :args (@t622)) % 42.41/42.67 (step @p656 :rule reordering :premises (@p655) :args ((or @t621 @t620 (not @t622)))) % 42.41/42.67 (step @p657 :rule chain_m_resolution :premises (@p656 @p654 @p578) :args (@t620 @t619 (@list @t617 @t622))) % 42.41/42.67 (step @p658 :rule cnf_or_pos :args (@t625)) % 42.41/42.67 (step @p659 :rule reordering :premises (@p658) :args ((or @t623 @t624 (not @t625)))) % 42.41/42.67 (step @p660 :rule chain_m_resolution :premises (@p659 @p657 @p574) :args (@t623 @t619 (@list @t620 @t625))) % 42.41/42.67 (step @p661 :rule cnf_or_pos :args (@t630)) % 42.41/42.67 (step @p662 :rule reordering :premises (@p661) :args ((or @t629 @t628 (not @t630)))) % 42.41/42.67 (step @p663 :rule chain_m_resolution :premises (@p662 @p660 @p570) :args (@t628 @t619 (@list @t623 @t630))) % 42.41/42.67 (step @p664 :rule bool-impl-elim :args (@t237 @t236)) % 42.41/42.67 (step @p665 :rule cong :premises (@p664) :args (@t238)) % 42.41/42.67 (step @p666 :rule eq_resolve :premises (@p107 @p665)) % 42.41/42.67 (step @p667 :rule instantiate :premises (@p666) :args (@t567)) % 42.41/42.67 (step @p668 :rule cnf_or_pos :args (@t632)) % 42.41/42.67 (step @p669 :rule reordering :premises (@p668) :args ((or @t611 @t631 (not @t632)))) % 42.41/42.67 (step @p670 :rule chain_m_resolution :premises (@p669 @p651 @p667) :args (@t631 @t619 (@list @t599 @t632))) % 42.41/42.67 (step @p671 :rule bool-double-not-elim :args (@t612)) % 42.41/42.67 (step @p672 :rule nary_cong :premises (@p646 @p671) :args ((or @t614 (not @t613)))) % 42.41/42.67 (step @p673 :rule cnf_or_neg :args (@t614 0)) % 42.41/42.67 (step @p674 :rule eq_resolve :premises (@p673 @p672)) % 42.41/42.67 (step @p675 :rule reordering :premises (@p674) :args ((or @t612 @t614))) % 42.41/42.67 (step @p676 :rule chain_m_resolution :premises (@p675 @p644) :args (@t612 @t615 @t616)) % 42.41/42.67 (step @p677 :rule cnf_equiv_pos1 :args (@t631)) % 42.41/42.67 (step @p678 :rule reordering :premises (@p677) :args ((or @t613 @t627 (not @t631)))) % 42.41/42.67 (step @p679 :rule chain_m_resolution :premises (@p678 @p676 @p670) :args (@t627 @t619 (@list @t612 @t631))) % 42.41/42.67 (step @p680 :rule cnf_equiv_pos1 :args (@t628)) % 42.41/42.67 (step @p681 :rule reordering :premises (@p680) :args ((or (not @t627) @t626 (not @t628)))) % 42.41/42.67 (step @p682 :rule chain_m_resolution :premises (@p681 @p679 @p663) :args (@t626 @t619 (@list @t627 @t628))) % 42.41/42.67 (step @p683 :rule aci_norm :args ((= @t639 (or @t558 @t637 @t636 @t635)))) % 42.41/42.67 (step @p684 :rule cong :premises (@p683) :args (@t640)) % 42.41/42.67 (step @p685 :rule quant-merge-prenex :args ((= (forall @t13 @t642) @t640))) % 42.41/42.67 (step @p686 :rule alpha_equiv :args (@t643 (@list @t634 @t633) (@list @t2 @t644))) % 42.41/42.67 (step @p687 :rule nary_cong :premises (@p587 @p686) :args (@t645)) % 42.41/42.67 (step @p688 :rule quant-miniscope-or :args ((= @t642 @t645))) % 42.41/42.67 (step @p689 :rule trans :premises (@p688 @p687)) % 42.41/42.67 (step @p690 :rule symm :premises (@p689)) % 42.41/42.67 (step @p691 :rule cong :premises (@p690) :args ((forall @t13 (or @t558 @t650)))) % 42.41/42.67 (step @p692 :rule trans :premises (@p691 @p685)) % 42.41/42.67 (step @p693 :rule trans :premises (@p692 @p684)) % 42.41/42.67 (step @p694 :rule bool-impl-elim :args (@t237 @t650)) % 42.41/42.67 (step @p695 :rule cong :premises (@p694) :args ((forall @t13 (=> @t237 @t650)))) % 42.41/42.67 (step @p696 :rule trans :premises (@p695 @p693)) % 42.41/42.67 (step @p697 :rule aci_norm :args ((= @t652 @t648))) % 42.41/42.67 (step @p698 :rule cong :premises (@p697) :args (@t653)) % 42.41/42.67 (step @p699 :rule quant-merge-prenex :args ((= (forall @t11 @t655) @t653))) % 42.41/42.67 (step @p700 :rule alpha_equiv :args (@t656 (@list @t644) @t591)) % 42.41/42.67 (step @p701 :rule nary_cong :premises (@p609 @p700) :args (@t657)) % 42.41/42.67 (step @p702 :rule quant-miniscope-or :args ((= @t655 @t657))) % 42.41/42.67 (step @p703 :rule trans :premises (@p702 @p701)) % 42.41/42.67 (step @p704 :rule symm :premises (@p703)) % 42.41/42.67 (step @p705 :rule cong :premises (@p704) :args ((forall @t11 (or @t580 @t658)))) % 42.41/42.67 (step @p706 :rule trans :premises (@p705 @p699)) % 42.41/42.67 (step @p707 :rule trans :premises (@p706 @p698)) % 42.41/42.67 (step @p708 :rule bool-impl-elim :args (@t60 @t658)) % 42.41/42.67 (step @p709 :rule cong :premises (@p708) :args ((forall @t11 (=> @t60 @t658)))) % 42.41/42.67 (step @p710 :rule trans :premises (@p709 @p707)) % 42.41/42.67 (step @p711 :rule bool-impl-elim :args (@t59 @t262)) % 42.41/42.67 (step @p712 :rule cong :premises (@p711) :args (@t263)) % 42.41/42.67 (step @p713 :rule cong :premises (@p634 @p712) :args (@t264)) % 42.41/42.67 (step @p714 :rule cong :premises (@p713) :args (@t265)) % 42.41/42.67 (step @p715 :rule trans :premises (@p714 @p710)) % 42.41/42.67 (step @p716 :rule refl :args (@t237)) % 42.41/42.67 (step @p717 :rule cong :premises (@p716 @p715) :args (@t266)) % 42.41/42.67 (step @p718 :rule cong :premises (@p717) :args (@t267)) % 42.41/42.67 (step @p719 :rule trans :premises (@p718 @p696)) % 42.41/42.67 (step @p720 :rule eq_resolve :premises (@p124 @p719)) % 42.41/42.67 (step @p721 :rule instantiate :premises (@p720) :args ((@list @t563 @t600 @t601))) % 42.41/42.67 (step @p722 :rule bool-double-not-elim :args (@t607)) % 42.41/42.67 (step @p723 :rule nary_cong :premises (@p646 @p722) :args ((or @t614 (not @t608)))) % 42.41/42.67 (step @p724 :rule cnf_or_neg :args (@t614 3)) % 42.41/42.67 (step @p725 :rule eq_resolve :premises (@p724 @p723)) % 42.41/42.67 (step @p726 :rule reordering :premises (@p725) :args ((or @t607 @t614))) % 42.41/42.67 (step @p727 :rule chain_m_resolution :premises (@p726 @p644) :args (@t607 @t615 @t616)) % 42.41/42.67 (step @p728 :rule bool-double-not-elim :args (@t609)) % 42.41/42.67 (step @p729 :rule nary_cong :premises (@p646 @p728) :args ((or @t614 (not @t610)))) % 42.41/42.67 (step @p730 :rule cnf_or_neg :args (@t614 2)) % 42.41/42.67 (step @p731 :rule eq_resolve :premises (@p730 @p729)) % 42.41/42.67 (step @p732 :rule reordering :premises (@p731) :args ((or @t609 @t614))) % 42.41/42.67 (step @p733 :rule chain_m_resolution :premises (@p732 @p644) :args (@t609 @t615 @t616)) % 42.41/42.67 (step @p734 :rule cnf_or_pos :args (@t661)) % 42.41/42.67 (step @p735 :rule reordering :premises (@p734) :args ((or @t611 @t610 @t608 @t660 (not @t661)))) % 42.41/42.67 (step @p736 :rule chain_m_resolution :premises (@p735 @p651 @p733 @p727 @p721) :args (@t660 @t662 (@list @t599 @t609 @t607 @t661))) % 42.41/42.67 (step @p737 :rule bool-double-not-elim :args (@t603)) % 42.41/42.67 (step @p738 :rule nary_cong :premises (@p646 @p737) :args ((or @t614 (not @t604)))) % 42.41/42.67 (step @p739 :rule cnf_or_neg :args (@t614 5)) % 42.41/42.67 (step @p740 :rule eq_resolve :premises (@p739 @p738)) % 42.41/42.67 (step @p741 :rule reordering :premises (@p740) :args ((or @t603 @t614))) % 42.41/42.67 (step @p742 :rule chain_m_resolution :premises (@p741 @p644) :args (@t603 @t615 @t616)) % 42.41/42.67 (step @p743 :rule cnf_equiv_pos1 :args (@t660)) % 42.41/42.67 (step @p744 :rule reordering :premises (@p743) :args ((or @t604 @t659 (not @t660)))) % 42.41/42.67 (step @p745 :rule chain_m_resolution :premises (@p744 @p742 @p736) :args (@t659 @t619 (@list @t603 @t660))) % 42.41/42.67 (step @p746 :rule instantiate :premises (@p720) :args ((@list @t563 @t601 @t600))) % 42.41/42.67 (step @p747 :rule cnf_or_pos :args (@t665)) % 42.41/42.67 (step @p748 :rule reordering :premises (@p747) :args ((or @t611 @t610 @t608 @t664 (not @t665)))) % 42.41/42.67 (step @p749 :rule chain_m_resolution :premises (@p748 @p651 @p733 @p727 @p746) :args (@t664 @t662 (@list @t599 @t609 @t607 @t665))) % 42.41/42.67 (step @p750 :rule bool-double-not-elim :args (@t605)) % 42.41/42.67 (step @p751 :rule nary_cong :premises (@p646 @p750) :args ((or @t614 (not @t606)))) % 42.41/42.67 (step @p752 :rule cnf_or_neg :args (@t614 4)) % 42.41/42.67 (step @p753 :rule eq_resolve :premises (@p752 @p751)) % 42.41/42.67 (step @p754 :rule reordering :premises (@p753) :args ((or @t605 @t614))) % 42.41/42.67 (step @p755 :rule chain_m_resolution :premises (@p754 @p644) :args (@t605 @t615 @t616)) % 42.41/42.67 (step @p756 :rule cnf_equiv_pos1 :args (@t664)) % 42.41/42.67 (step @p757 :rule reordering :premises (@p756) :args ((or @t606 @t663 (not @t664)))) % 42.41/42.67 (step @p758 :rule chain_m_resolution :premises (@p757 @p755 @p749) :args (@t663 @t619 (@list @t605 @t664))) % 42.41/42.67 (step @p759 :rule aci_norm :args ((= (or @t666 @t519) (or @t666 @t175 @t5)))) % 42.41/42.67 (step @p760 :rule bool-impl-elim :args (@t493 @t519)) % 42.41/42.67 (step @p761 :rule trans :premises (@p760 @p759)) % 42.41/42.67 (step @p762 :rule cong :premises (@p761) :args (@t520)) % 42.41/42.67 (step @p763 :rule eq_resolve :premises (@p430 @p762)) % 42.41/42.67 (step @p764 :rule instantiate :premises (@p763) :args ((@list @t600 @t564))) % 42.41/42.67 (step @p765 :rule alpha_equiv :args (@t668 @t669 (@list (@var "BOUND_VARIABLE_12478" $$unsorted) (@var "BOUND_VARIABLE_12480" $$unsorted)))) % 42.41/42.67 (step @p766 :rule alpha_equiv :args (@t672 @t669 (@list (@var "BOUND_VARIABLE_12467" $$unsorted) (@var "BOUND_VARIABLE_12469" $$unsorted)))) % 42.41/42.67 (step @p767 :rule nary_cong :premises (@p766 @p765) :args (@t673)) % 42.41/42.67 (step @p768 :rule quant-miniscope-and :args ((= (forall @t6 (and @t671 @t667)) @t673))) % 42.41/42.67 (step @p769 :rule trans :premises (@p768 @p767)) % 42.41/42.67 (step @p770 :rule bool-impl-elim :args (@t22 @t176)) % 42.41/42.67 (step @p771 :rule refl :args (@t670)) % 42.41/42.67 (step @p772 :rule bool-double-not-elim :args (@t22)) % 42.41/42.67 (step @p773 :rule nary_cong :premises (@p772 @p771) :args ((or (not @t178) @t670))) % 42.41/42.67 (step @p774 :rule bool-impl-elim :args (@t178 @t670)) % 42.41/42.67 (step @p775 :rule trans :premises (@p774 @p773)) % 42.41/42.67 (step @p776 :rule nary_cong :premises (@p775 @p770) :args (@t674)) % 42.41/42.67 (step @p777 :rule cong :premises (@p776) :args ((forall @t6 @t674))) % 42.41/42.67 (step @p778 :rule trans :premises (@p777 @p769)) % 42.41/42.67 (step @p779 :rule refl :args (@t177)) % 42.41/42.67 (step @p780 :rule eq-symm :args (@t10 @t3)) % 42.41/42.67 (step @p781 :rule refl :args (@t178)) % 42.41/42.67 (step @p782 :rule cong :premises (@p781 @p780) :args (@t179)) % 42.41/42.67 (step @p783 :rule nary_cong :premises (@p782 @p779) :args (@t180)) % 42.41/42.67 (step @p784 :rule cong :premises (@p783) :args (@t181)) % 42.41/42.67 (step @p785 :rule trans :premises (@p784 @p778)) % 42.41/42.67 (step @p786 :rule eq_resolve :premises (@p77 @p785)) % 42.41/42.67 (step @p787 :rule and_elim :premises (@p786) :args (1)) % 42.41/42.67 (step @p788 :rule instantiate :premises (@p787) :args ((@list @t564 @t601))) % 42.41/42.67 (step @p789 :rule cnf_or_pos :args (@t679)) % 42.41/42.67 (step @p790 :rule reordering :premises (@p789) :args ((or @t678 @t676 (not @t679)))) % 42.41/42.67 (step @p791 :rule instantiate :premises (@p787) :args ((@list @t564 @t600))) % 42.41/42.67 (step @p792 :rule cnf_or_pos :args (@t682)) % 42.41/42.67 (step @p793 :rule reordering :premises (@p792) :args ((or @t678 @t681 (not @t682)))) % 42.41/42.67 (step @p794 :rule cnf_equiv_pos1 :args (@t676)) % 42.41/42.67 (step @p795 :rule reordering :premises (@p794) :args ((or @t610 @t675 (not @t676)))) % 42.41/42.67 (step @p796 :rule cnf_equiv_pos1 :args (@t681)) % 42.41/42.67 (step @p797 :rule reordering :premises (@p796) :args ((or @t608 @t680 (not @t681)))) % 42.41/42.67 (step @p798 :rule cnf_or_neg :args (@t614 6)) % 42.41/42.67 (step @p799 :rule chain_m_resolution :premises (@p798 @p644) :args ((not @t602) @t615 @t616)) % 42.41/42.67 (step @p800 :rule refl :args (@t271)) % 42.41/42.67 (step @p801 :rule bool-double-not-elim :args (@t88)) % 42.41/42.67 (step @p802 :rule refl :args (@t178)) % 42.41/42.67 (step @p803 :rule nary_cong :premises (@p802 @p801 @p800) :args (@t684)) % 42.41/42.67 (step @p804 :rule aci_norm :args ((= (or @t178 (or @t683 @t271)) @t684))) % 42.41/42.67 (step @p805 :rule trans :premises (@p804 @p803)) % 42.41/42.67 (step @p806 :rule bool-and-de-morgan :args (@t259 @t175 true)) % 42.41/42.67 (step @p807 :rule nary_cong :premises (@p802 @p806) :args ((or @t178 (not (and @t259 @t175))))) % 42.41/42.67 (step @p808 :rule bool-and-de-morgan :args (@t22 @t259 (and @t175))) % 42.41/42.67 (step @p809 :rule trans :premises (@p808 @p807)) % 42.41/42.67 (step @p810 :rule trans :premises (@p809 @p805)) % 42.41/42.67 (step @p811 :rule cong :premises (@p810) :args (@t538)) % 42.41/42.67 (step @p812 :rule eq_resolve :premises (@p520 @p811)) % 42.41/42.67 (step @p813 :rule instantiate :premises (@p812) :args (@t685)) % 42.41/42.67 (step @p814 :rule cnf_or_pos :args (@t688)) % 42.41/42.67 (step @p815 :rule reordering :premises (@p814) :args ((or @t602 @t687 @t686 (not @t688)))) % 42.41/42.67 (step @p816 :rule chain_m_resolution :premises (@p815 @p813 @p799 @p797 @p727 @p795 @p733 @p793 @p791 @p790 @p788) :args (@t678 (@list false true false false false false false false false false) (@list @t688 @t602 @t680 @t607 @t675 @t609 @t681 @t682 @t676 @t679))) % 42.41/42.68 (step @p817 :rule cnf_or_pos :args (@t690)) % 42.41/42.68 (step @p818 :rule reordering :premises (@p817) :args ((or @t608 @t677 @t689 (not @t690)))) % 42.41/42.68 (step @p819 :rule chain_m_resolution :premises (@p818 @p727 @p816 @p764) :args (@t689 @t691 (@list @t607 @t677 @t690))) % 42.41/42.68 (step @p820 :rule instantiate :premises (@p763) :args ((@list @t601 @t564))) % 42.41/42.68 (step @p821 :rule cnf_or_pos :args (@t693)) % 42.41/42.68 (step @p822 :rule reordering :premises (@p821) :args ((or @t610 @t677 @t692 (not @t693)))) % 42.41/42.68 (step @p823 :rule chain_m_resolution :premises (@p822 @p733 @p816 @p820) :args (@t692 @t691 (@list @t609 @t677 @t693))) % 42.41/42.68 (step @p824 :rule cnf_or_pos :args (@t698)) % 42.41/42.68 (step @p825 :rule reordering :premises (@p824) :args ((or @t602 @t697 @t696 @t695 @t694 @t699))) % 42.41/42.68 (step @p826 :rule chain_m_resolution :premises (@p825 @p799 @p823 @p819 @p758 @p745) :args (@t699 (@list true false false false false) (@list @t602 @t692 @t689 @t663 @t659))) % 42.41/42.68 (assume-push @p833 @t626) % 42.41/42.68 (step @p828 :rule instantiate :premises (@p682) :args (@t685)) % 42.41/42.68 (step-pop @p834 :rule scope :premises (@p828)) % 42.41/42.68 (step @p829 :rule process_scope :premises (@p834) :args (@t698)) % 42.41/42.68 (step @p831 :rule implies_elim :premises (@p829)) % 42.41/42.68 (step @p832 false :rule chain_m_resolution :premises (@p831 @p826 @p682) :args (false (@list true false) (@list @t698 @t626))) % 42.41/42.68 ) % 42.41/42.68 % SZS output end Proof % 42.41/42.68 % cvc5 exiting %------------------------------------------------------------------------------