%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU304+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 : n006.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 08:51:19 AM UTC 2026 % Result : Theorem 35.14s 35.34s % Output : Proof 35.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU304+2 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n006.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 16:55:04 EDT 2026 % 0.16/0.35 % CPUTime : % 0.37/0.62 %----Proving TF0_NAR, FOF, or CNF % 35.14/35.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.14/35.34 --- Run --no-e-matching --full-saturate-quant at 6... % 35.14/35.34 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.14/35.34 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.14/35.34 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.14/35.34 % SZS status Theorem % 35.14/35.34 % SZS output start Proof % 35.14/35.34 ( % 35.14/35.34 (declare-sort $$unsorted 0) % 35.14/35.34 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.natural (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.empty (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.transitive (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.connected (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.relation (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.function (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.finite (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.empty_set $$unsorted) % 35.14/35.34 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.omega $$unsorted) % 35.14/35.34 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.14/35.34 (define @t1 () (@var "A" $$unsorted)) % 35.14/35.34 (define @t2 () (@var "B" $$unsorted)) % 35.14/35.34 (define @t3 () (tptp.in @t2 @t1)) % 35.14/35.34 (define @t4 () (not @t3)) % 35.14/35.34 (define @t5 () (tptp.in @t1 @t2)) % 35.14/35.34 (define @t6 () (@list @t1 @t2)) % 35.14/35.34 (define @t7 () (tptp.proper_subset @t2 @t1)) % 35.14/35.34 (define @t8 () (tptp.proper_subset @t1 @t2)) % 35.14/35.34 (define @t9 () (tptp.ordinal @t2)) % 35.14/35.34 (define @t10 () (tptp.epsilon_connected @t2)) % 35.14/35.34 (define @t11 () (tptp.epsilon_transitive @t2)) % 35.14/35.34 (define @t12 () (tptp.element @t2 @t1)) % 35.14/35.34 (define @t13 () (@list @t2)) % 35.14/35.34 (define @t14 () (tptp.ordinal @t1)) % 35.14/35.34 (define @t15 () (@list @t1)) % 35.14/35.34 (define @t16 () (tptp.finite @t1)) % 35.14/35.34 (define @t17 () (tptp.empty @t1)) % 35.14/35.34 (define @t18 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 35.14/35.34 (define @t19 () (tptp.preboolean @t1)) % 35.14/35.34 (define @t20 () (tptp.function @t1)) % 35.14/35.34 (define @t21 () (tptp.epsilon_connected @t1)) % 35.14/35.34 (define @t22 () (tptp.epsilon_transitive @t1)) % 35.14/35.34 (define @t23 () (and @t22 @t21)) % 35.14/35.34 (define @t24 () (tptp.relation @t1)) % 35.14/35.34 (define @t25 () (@var "C" $$unsorted)) % 35.14/35.34 (define @t26 () (tptp.relation @t25)) % 35.14/35.34 (define @t27 () (tptp.cartesian_product2 @t1 @t2)) % 35.14/35.34 (define @t28 () (tptp.element @t25 (tptp.powerset @t27))) % 35.14/35.34 (define @t29 () (@list @t1 @t2 @t25)) % 35.14/35.34 (define @t30 () (tptp.natural @t1)) % 35.14/35.34 (define @t31 () (and @t22 @t21 @t14 @t30)) % 35.14/35.34 (define @t32 () (tptp.finite @t2)) % 35.14/35.34 (define @t33 () (tptp.powerset @t1)) % 35.14/35.34 (define @t34 () (tptp.element @t2 @t33)) % 35.14/35.34 (define @t35 () (tptp.one_to_one @t1)) % 35.14/35.34 (define @t36 () (and @t24 @t20 @t35)) % 35.14/35.34 (define @t37 () (and @t24 @t17 @t20)) % 35.14/35.34 (define @t38 () (and @t22 @t21 @t14)) % 35.14/35.34 (define @t39 () (tptp.unordered_pair @t1 @t2)) % 35.14/35.34 (define @t40 () (tptp.set_union2 @t2 @t1)) % 35.14/35.34 (define @t41 () (tptp.set_union2 @t1 @t2)) % 35.14/35.34 (define @t42 () (tptp.set_intersection2 @t1 @t2)) % 35.14/35.34 (define @t43 () (tptp.meet_commut @t1 @t2 @t25)) % 35.14/35.34 (define @t44 () (= @t43 (tptp.meet_commut @t1 @t25 @t2))) % 35.14/35.34 (define @t45 () (tptp.the_carrier @t1)) % 35.14/35.34 (define @t46 () (tptp.element @t25 @t45)) % 35.14/35.34 (define @t47 () (tptp.element @t2 @t45)) % 35.14/35.34 (define @t48 () (tptp.meet_semilatt_str @t1)) % 35.14/35.34 (define @t49 () (tptp.meet_commutative @t1)) % 35.14/35.34 (define @t50 () (tptp.empty_carrier @t1)) % 35.14/35.34 (define @t51 () (not @t50)) % 35.14/35.34 (define @t52 () (and @t51 @t49 @t48 @t47 @t46)) % 35.14/35.34 (define @t53 () (forall @t29 (=> @t52 @t44))) % 35.14/35.34 (define @t54 () (tptp.ordinal_subset @t1 @t2)) % 35.14/35.34 (define @t55 () (and @t14 @t9)) % 35.14/35.34 (define @t56 () (@var "D" $$unsorted)) % 35.14/35.34 (define @t57 () (= @t25 @t56)) % 35.14/35.34 (define @t58 () (tptp.in @t25 @t1)) % 35.14/35.34 (define @t59 () (tptp.ordered_pair @t25 @t56)) % 35.14/35.34 (define @t60 () (tptp.in @t59 @t2)) % 35.14/35.34 (define @t61 () (@list @t25 @t56)) % 35.14/35.34 (define @t62 () (tptp.identity_relation @t1)) % 35.14/35.34 (define @t63 () (= @t2 @t62)) % 35.14/35.34 (define @t64 () (tptp.relation @t2)) % 35.14/35.34 (define @t65 () (tptp.subset @t2 @t1)) % 35.14/35.34 (define @t66 () (tptp.subset @t1 @t2)) % 35.14/35.34 (define @t67 () (= @t1 @t2)) % 35.14/35.34 (define @t68 () (@var "E" $$unsorted)) % 35.14/35.34 (define @t69 () (tptp.ordered_pair @t56 @t68)) % 35.14/35.34 (define @t70 () (tptp.in @t69 @t1)) % 35.14/35.34 (define @t71 () (tptp.in @t56 @t2)) % 35.14/35.34 (define @t72 () (tptp.in @t69 @t25)) % 35.14/35.34 (define @t73 () (@list @t56 @t68)) % 35.14/35.34 (define @t74 () (tptp.relation_dom_restriction @t1 @t2)) % 35.14/35.34 (define @t75 () (@list @t2 @t25)) % 35.14/35.34 (define @t76 () (tptp.in @t68 @t2)) % 35.14/35.34 (define @t77 () (tptp.relation_dom @t1)) % 35.14/35.34 (define @t78 () (@list @t68)) % 35.14/35.34 (define @t79 () (tptp.in @t56 @t25)) % 35.14/35.34 (define @t80 () (@list @t56)) % 35.14/35.34 (define @t81 () (tptp.relation_image @t1 @t2)) % 35.14/35.34 (define @t82 () (= @t25 @t81)) % 35.14/35.34 (define @t83 () (and @t24 @t20)) % 35.14/35.34 (define @t84 () (tptp.in @t68 @t1)) % 35.14/35.34 (define @t85 () (tptp.relation_rng_restriction @t1 @t2)) % 35.14/35.34 (define @t86 () (@list @t25)) % 35.14/35.34 (define @t87 () (tptp.relation_field @t1)) % 35.14/35.34 (define @t88 () (tptp.antisymmetric @t1)) % 35.14/35.34 (define @t89 () (tptp.apply @t1 @t56)) % 35.14/35.34 (define @t90 () (tptp.in @t56 @t77)) % 35.14/35.34 (define @t91 () (= @t25 (tptp.relation_inverse_image @t1 @t2))) % 35.14/35.34 (define @t92 () (tptp.ordered_pair @t68 @t56)) % 35.14/35.34 (define @t93 () (tptp.connected @t1)) % 35.14/35.34 (define @t94 () (tptp.transitive @t1)) % 35.14/35.34 (define @t95 () (tptp.in @t68 @t56)) % 35.14/35.34 (define @t96 () (@list @t1 @t2 @t25 @t56)) % 35.14/35.34 (define @t97 () (tptp.relation_dom @t2)) % 35.14/35.34 (define @t98 () (tptp.relation_rng @t2)) % 35.14/35.34 (define @t99 () (tptp.function @t2)) % 35.14/35.34 (define @t100 () (tptp.in (tptp.ordered_pair @t2 @t56) @t1)) % 35.14/35.34 (define @t101 () (tptp.ordered_pair @t2 @t25)) % 35.14/35.34 (define @t102 () (tptp.in @t101 @t1)) % 35.14/35.34 (define @t103 () (@list @t2 @t25 @t56)) % 35.14/35.34 (define @t104 () (= @t25 tptp.empty_set)) % 35.14/35.34 (define @t105 () (tptp.quasi_total @t25 @t1 @t2)) % 35.14/35.34 (define @t106 () (= @t1 tptp.empty_set)) % 35.14/35.34 (define @t107 () (= @t2 tptp.empty_set)) % 35.14/35.34 (define @t108 () (tptp.relation_dom_as_subset @t1 @t2 @t25)) % 35.14/35.34 (define @t109 () (tptp.relation_of2_as_subset @t25 @t1 @t2)) % 35.14/35.34 (define @t110 () (tptp.the_L_join @t1)) % 35.14/35.34 (define @t111 () (tptp.join @t1 @t2 @t25)) % 35.14/35.34 (define @t112 () (tptp.join_semilatt_str @t1)) % 35.14/35.34 (define @t113 () (and @t51 @t112)) % 35.14/35.34 (define @t114 () (= @t2 @t25)) % 35.14/35.34 (define @t115 () (= @t1 @t59)) % 35.14/35.34 (define @t116 () (exists @t75 (= @t1 @t101))) % 35.14/35.34 (define @t117 () (tptp.singleton @t1)) % 35.14/35.34 (define @t118 () (tptp.succ @t1)) % 35.14/35.34 (define @t119 () (tptp.in @t25 @t2)) % 35.14/35.34 (define @t120 () (tptp.is_reflexive_in @t1 @t2)) % 35.14/35.34 (define @t121 () (tptp.relation_of2 @t25 @t1 @t2)) % 35.14/35.34 (define @t122 () (= @t2 (tptp.set_meet @t1))) % 35.14/35.34 (define @t123 () (tptp.in @t25 @t56)) % 35.14/35.34 (define @t124 () (tptp.in @t56 @t1)) % 35.14/35.34 (define @t125 () (not @t106)) % 35.14/35.34 (define @t126 () (= @t56 @t2)) % 35.14/35.34 (define @t127 () (tptp.subset @t25 @t56)) % 35.14/35.34 (define @t128 () (tptp.relation_field @t2)) % 35.14/35.34 (define @t129 () (tptp.inclusion_relation @t1)) % 35.14/35.34 (define @t130 () (tptp.the_L_meet @t1)) % 35.14/35.34 (define @t131 () (tptp.meet @t1 @t2 @t25)) % 35.14/35.34 (define @t132 () (= @t2 @t56)) % 35.14/35.34 (define @t133 () (tptp.in @t59 @t1)) % 35.14/35.34 (define @t134 () (tptp.empty @t2)) % 35.14/35.34 (define @t135 () (not @t17)) % 35.14/35.34 (define @t136 () (not @t107)) % 35.14/35.34 (define @t137 () (tptp.well_founded_relation @t1)) % 35.14/35.34 (define @t138 () (@var "F" $$unsorted)) % 35.14/35.34 (define @t139 () (tptp.ordered_pair @t68 @t138)) % 35.14/35.34 (define @t140 () (tptp.in @t138 @t2)) % 35.14/35.34 (define @t141 () (@list @t68 @t138)) % 35.14/35.34 (define @t142 () (tptp.below @t1 @t2 @t25)) % 35.14/35.34 (define @t143 () (= @t142 (= @t111 @t25))) % 35.14/35.34 (define @t144 () (=> @t46 @t143)) % 35.14/35.34 (define @t145 () (forall @t86 @t144)) % 35.14/35.34 (define @t146 () (=> @t47 @t145)) % 35.14/35.34 (define @t147 () (forall @t13 @t146)) % 35.14/35.34 (define @t148 () (=> @t113 @t147)) % 35.14/35.34 (define @t149 () (forall @t15 @t148)) % 35.14/35.34 (define @t150 () (not @t119)) % 35.14/35.34 (define @t151 () (not @t114)) % 35.14/35.34 (define @t152 () (tptp.in @t2 @t25)) % 35.14/35.34 (define @t153 () (forall @t86 (=> @t58 @t119))) % 35.14/35.34 (define @t154 () (not @t104)) % 35.14/35.34 (define @t155 () (tptp.subset @t25 @t2)) % 35.14/35.34 (define @t156 () (tptp.is_well_founded_in @t1 @t2)) % 35.14/35.34 (define @t157 () (tptp.apply @t1 @t2)) % 35.14/35.34 (define @t158 () (= @t25 @t157)) % 35.14/35.34 (define @t159 () (tptp.in @t2 @t77)) % 35.14/35.34 (define @t160 () (tptp.in (tptp.ordered_pair @t56 @t25) @t1)) % 35.14/35.34 (define @t161 () (tptp.is_antisymmetric_in @t1 @t2)) % 35.14/35.34 (define @t162 () (tptp.cast_to_subset @t1)) % 35.14/35.34 (define @t163 () (tptp.union @t1)) % 35.14/35.34 (define @t164 () (tptp.reflexive @t1)) % 35.14/35.34 (define @t165 () (tptp.well_ordering @t1)) % 35.14/35.34 (define @t166 () (tptp.relation_rng @t25)) % 35.14/35.34 (define @t167 () (tptp.relation_dom @t25)) % 35.14/35.34 (define @t168 () (= @t167 @t1)) % 35.14/35.34 (define @t169 () (tptp.one_to_one @t25)) % 35.14/35.34 (define @t170 () (tptp.function @t25)) % 35.14/35.34 (define @t171 () (tptp.equipotent @t1 @t2)) % 35.14/35.34 (define @t172 () (tptp.set_difference @t1 @t2)) % 35.14/35.34 (define @t173 () (and @t90 (= @t25 @t89))) % 35.14/35.34 (define @t174 () (tptp.relation_rng @t1)) % 35.14/35.34 (define @t175 () (= @t2 @t174)) % 35.14/35.34 (define @t176 () (tptp.being_limit_ordinal @t1)) % 35.14/35.34 (define @t177 () (tptp.subset_complement @t1 @t2)) % 35.14/35.34 (define @t178 () (tptp.ordered_pair @t1 @t2)) % 35.14/35.34 (define @t179 () (tptp.is_connected_in @t1 @t2)) % 35.14/35.34 (define @t180 () (tptp.is_transitive_in @t1 @t2)) % 35.14/35.34 (define @t181 () (tptp.cartesian_product2 @t2 @t2)) % 35.14/35.34 (define @t182 () (tptp.relation_restriction @t1 @t2)) % 35.14/35.34 (define @t183 () (tptp.relation_inverse @t1)) % 35.14/35.34 (define @t184 () (tptp.apply @t25 @t68)) % 35.14/35.34 (define @t185 () (tptp.apply @t25 @t56)) % 35.14/35.34 (define @t186 () (tptp.relation_isomorphism @t1 @t2 @t25)) % 35.14/35.34 (define @t187 () (and @t26 @t170)) % 35.14/35.34 (define @t188 () (tptp.disjoint @t1 @t2)) % 35.14/35.34 (define @t189 () (tptp.join @t1 @t131 @t25)) % 35.14/35.34 (define @t190 () (=> @t46 (= @t189 @t25))) % 35.14/35.34 (define @t191 () (forall @t86 @t190)) % 35.14/35.34 (define @t192 () (=> @t47 @t191)) % 35.14/35.34 (define @t193 () (forall @t13 @t192)) % 35.14/35.34 (define @t194 () (tptp.meet_absorbing @t1)) % 35.14/35.34 (define @t195 () (= @t194 @t193)) % 35.14/35.34 (define @t196 () (tptp.latt_str @t1)) % 35.14/35.34 (define @t197 () (and @t51 @t196)) % 35.14/35.34 (define @t198 () (=> @t197 @t195)) % 35.14/35.34 (define @t199 () (forall @t15 @t198)) % 35.14/35.34 (define @t200 () (@list @t138)) % 35.14/35.34 (define @t201 () (tptp.relation_composition @t1 @t2)) % 35.14/35.34 (define @t202 () (@list @t25 @t56 @t68)) % 35.14/35.34 (define @t203 () (tptp.complements_of_subsets @t1 @t2)) % 35.14/35.34 (define @t204 () (tptp.powerset @t33)) % 35.14/35.34 (define @t205 () (tptp.element @t2 @t204)) % 35.14/35.34 (define @t206 () (not @t67)) % 35.14/35.34 (define @t207 () (tptp.function_inverse @t1)) % 35.14/35.34 (define @t208 () (tptp.apply_binary_as_element @t1 @t2 @t25 @t56 @t68 @t138)) % 35.14/35.34 (define @t209 () (tptp.function @t56)) % 35.14/35.34 (define @t210 () (not @t134)) % 35.14/35.34 (define @t211 () (and @t135 @t210 @t209 (tptp.quasi_total @t56 @t27 @t25) (tptp.relation_of2 @t56 @t27 @t25) (tptp.element @t68 @t1) (tptp.element @t138 @t2))) % 35.14/35.34 (define @t212 () (@list @t1 @t2 @t25 @t56 @t68 @t138)) % 35.14/35.34 (define @t213 () (tptp.element @t43 @t45)) % 35.14/35.34 (define @t214 () (forall @t29 (=> @t52 @t213))) % 35.14/35.34 (define @t215 () (tptp.relation @t183)) % 35.14/35.34 (define @t216 () (tptp.relation @t201)) % 35.14/35.34 (define @t217 () (and @t24 @t64)) % 35.14/35.34 (define @t218 () (tptp.powerset @t2)) % 35.14/35.34 (define @t219 () (tptp.relation_rng_as_subset @t1 @t2 @t25)) % 35.14/35.34 (define @t220 () (tptp.union_of_subsets @t1 @t2)) % 35.14/35.34 (define @t221 () (tptp.relation @t62)) % 35.14/35.34 (define @t222 () (tptp.meet_of_subsets @t1 @t2)) % 35.14/35.34 (define @t223 () (tptp.subset_difference @t1 @t2 @t25)) % 35.14/35.34 (define @t224 () (tptp.element @t25 @t33)) % 35.14/35.34 (define @t225 () (and @t34 @t224)) % 35.14/35.34 (define @t226 () (tptp.relation @t74)) % 35.14/35.34 (define @t227 () (tptp.relation @t85)) % 35.14/35.34 (define @t228 () (tptp.one_sorted_str @t1)) % 35.14/35.34 (define @t229 () (and @t48 @t112)) % 35.14/35.34 (define @t230 () (forall @t15 (=> @t196 @t229))) % 35.14/35.34 (define @t231 () (tptp.cartesian_product2 @t45 @t45)) % 35.14/35.34 (define @t232 () (tptp.finite @t42)) % 35.14/35.34 (define @t233 () (tptp.relation_composition @t2 @t1)) % 35.14/35.34 (define @t234 () (and @t17 @t64)) % 35.14/35.34 (define @t235 () (tptp.relation_empty_yielding tptp.empty_set)) % 35.14/35.34 (define @t236 () (tptp.relation tptp.empty_set)) % 35.14/35.34 (define @t237 () (tptp.empty tptp.empty_set)) % 35.14/35.34 (define @t238 () (tptp.relation_empty_yielding @t1)) % 35.14/35.34 (define @t239 () (and @t24 @t238)) % 35.14/35.34 (define @t240 () (not (tptp.empty @t117))) % 35.14/35.34 (define @t241 () (not (tptp.empty @t33))) % 35.14/35.34 (define @t242 () (not (tptp.empty @t118))) % 35.14/35.34 (define @t243 () (and @t51 @t228)) % 35.14/35.34 (define @t244 () (tptp.ordinal @t118)) % 35.14/35.34 (define @t245 () (tptp.epsilon_connected @t118)) % 35.14/35.34 (define @t246 () (tptp.epsilon_transitive @t118)) % 35.14/35.34 (define @t247 () (and @t64 @t99)) % 35.14/35.34 (define @t248 () (tptp.empty @t77)) % 35.14/35.34 (define @t249 () (and @t135 @t24)) % 35.14/35.34 (define @t250 () (tptp.empty @t174)) % 35.14/35.34 (define @t251 () (tptp.in @t2 @t87)) % 35.14/35.34 (define @t252 () (tptp.disjoint @t117 @t2)) % 35.14/35.34 (define @t253 () (not @t5)) % 35.14/35.34 (define @t254 () (tptp.well_ordering @t2)) % 35.14/35.34 (define @t255 () (tptp.in (tptp.ordered_pair @t25 @t2) @t1)) % 35.14/35.34 (define @t256 () (tptp.singleton @t25)) % 35.14/35.34 (define @t257 () (not @t102)) % 35.14/35.34 (define @t258 () (tptp.singleton @t2)) % 35.14/35.34 (define @t259 () (tptp.union @t2)) % 35.14/35.34 (define @t260 () (tptp.in @t1 @t25)) % 35.14/35.34 (define @t261 () (tptp.element @t1 @t218)) % 35.14/35.34 (define @t262 () (tptp.relation_dom_restriction @t25 @t1)) % 35.14/35.34 (define @t263 () (tptp.in @t2 (tptp.relation_dom @t262))) % 35.14/35.34 (define @t264 () (tptp.one_to_one @t2)) % 35.14/35.34 (define @t265 () (= @t43 @t131)) % 35.14/35.34 (define @t266 () (forall @t29 (=> @t52 @t265))) % 35.14/35.34 (define @t267 () (tptp.set_difference @t2 @t25)) % 35.14/35.34 (define @t268 () (@var "K" $$unsorted)) % 35.14/35.34 (define @t269 () (@var "J" $$unsorted)) % 35.14/35.34 (define @t270 () (tptp.in @t268 @t269)) % 35.14/35.34 (define @t271 () (@list @t268)) % 35.14/35.34 (define @t272 () (@list @t269)) % 35.14/35.34 (define @t273 () (= @t56 @t68)) % 35.14/35.34 (define @t274 () (@var "I" $$unsorted)) % 35.14/35.34 (define @t275 () (@var "H" $$unsorted)) % 35.14/35.34 (define @t276 () (tptp.in @t274 @t275)) % 35.14/35.34 (define @t277 () (@list @t274)) % 35.14/35.34 (define @t278 () (@list @t275)) % 35.14/35.34 (define @t279 () (exists @t278 (and (= @t25 @t275) (tptp.in @t68 @t275) (forall @t277 (=> @t276 (tptp.in (tptp.ordered_pair @t68 @t274) @t2)))))) % 35.14/35.34 (define @t280 () (@var "G" $$unsorted)) % 35.14/35.34 (define @t281 () (tptp.in @t280 @t138)) % 35.14/35.34 (define @t282 () (@list @t280)) % 35.14/35.34 (define @t283 () (exists @t200 (and (= @t25 @t138) (tptp.in @t56 @t138) (forall @t282 (=> @t281 (tptp.in (tptp.ordered_pair @t56 @t280) @t2)))))) % 35.14/35.34 (define @t284 () (forall @t202 (=> (and @t58 @t283 @t58 @t279) @t273))) % 35.14/35.34 (define @t285 () (and @t135 @t64)) % 35.14/35.34 (define @t286 () (= @t56 @t258)) % 35.14/35.34 (define @t287 () (= @t25 @t258)) % 35.14/35.34 (define @t288 () (forall @t103 (=> (and @t3 @t287 @t3 @t286) @t57))) % 35.14/35.34 (define @t289 () (tptp.ordinal @t25)) % 35.14/35.34 (define @t290 () (@var "S" $$unsorted)) % 35.14/35.34 (define @t291 () (@var "T" $$unsorted)) % 35.14/35.34 (define @t292 () (@var "R" $$unsorted)) % 35.14/35.34 (define @t293 () (tptp.powerset (tptp.powerset @t56))) % 35.14/35.34 (define @t294 () (@list @t292)) % 35.14/35.34 (define @t295 () (tptp.in @t56 tptp.omega)) % 35.14/35.34 (define @t296 () (tptp.ordinal @t56)) % 35.14/35.34 (define @t297 () (@var "P" $$unsorted)) % 35.14/35.34 (define @t298 () (@var "Q" $$unsorted)) % 35.14/35.34 (define @t299 () (@var "O" $$unsorted)) % 35.14/35.34 (define @t300 () (@list @t298)) % 35.14/35.34 (define @t301 () (@list @t297)) % 35.14/35.34 (define @t302 () (@list @t299)) % 35.14/35.34 (define @t303 () (@var "M" $$unsorted)) % 35.14/35.34 (define @t304 () (@var "N" $$unsorted)) % 35.14/35.34 (define @t305 () (@var "L" $$unsorted)) % 35.14/35.34 (define @t306 () (@list @t304)) % 35.14/35.34 (define @t307 () (tptp.in @t303 @t305)) % 35.14/35.34 (define @t308 () (@list @t303)) % 35.14/35.34 (define @t309 () (@list @t305)) % 35.14/35.34 (define @t310 () (tptp.succ @t56)) % 35.14/35.34 (define @t311 () (=> @t295 (forall @t78 (=> (tptp.element @t68 @t293) (not (and (not (= @t68 tptp.empty_set)) (forall @t200 (not (and (tptp.in @t138 @t68) (forall @t282 (=> (and (tptp.in @t280 @t68) (tptp.subset @t138 @t280)) (= @t280 @t138)))))))))))) % 35.14/35.34 (define @t312 () (tptp.subset @t2 @t25)) % 35.14/35.34 (define @t313 () (tptp.powerset tptp.empty_set)) % 35.14/35.34 (define @t314 () (tptp.apply @t25 @t138)) % 35.14/35.34 (define @t315 () (tptp.in @t138 @t1)) % 35.14/35.34 (define @t316 () (tptp.relation @t56)) % 35.14/35.34 (define @t317 () (and @t64 @t26 @t170)) % 35.14/35.34 (define @t318 () (forall @t271 (=> @t270 (tptp.in (tptp.ordered_pair @t56 @t268) @t2)))) % 35.14/35.34 (define @t319 () (tptp.in @t56 @t269)) % 35.14/35.34 (define @t320 () (= @t138 @t68)) % 35.14/35.34 (define @t321 () (tptp.cartesian_product2 @t1 @t25)) % 35.14/35.34 (define @t322 () (= @t68 @t138)) % 35.14/35.34 (define @t323 () (tptp.ordered_pair @t268 @t305)) % 35.14/35.34 (define @t324 () (@list @t268 @t305)) % 35.14/35.34 (define @t325 () (= @t56 @t138)) % 35.14/35.34 (define @t326 () (tptp.in @t269 @t274)) % 35.14/35.34 (define @t327 () (tptp.in @t280 @t1)) % 35.14/35.34 (define @t328 () (tptp.ordered_pair @t280 @t275)) % 35.14/35.34 (define @t329 () (@list @t280 @t275)) % 35.14/35.34 (define @t330 () (@list @t56 @t68 @t138)) % 35.14/35.34 (define @t331 () (= @t68 @t56)) % 35.14/35.34 (define @t332 () (tptp.in @t275 @t1)) % 35.14/35.34 (define @t333 () (= @t25 @t68)) % 35.14/35.34 (define @t334 () (tptp.ordered_pair @t138 @t280)) % 35.14/35.34 (define @t335 () (@list @t138 @t280)) % 35.14/35.34 (define @t336 () (= @t56 @t25)) % 35.14/35.34 (define @t337 () (not (and (not (= @t138 tptp.empty_set)) (forall @t282 (not (and @t281 (forall @t278 (=> (and (tptp.in @t275 @t138) (tptp.subset @t280 @t275)) (= @t275 @t280))))))))) % 35.14/35.34 (define @t338 () (tptp.ordinal @t68)) % 35.14/35.34 (define @t339 () (and @t14 (tptp.element @t2 (tptp.powerset (tptp.powerset @t118))))) % 35.14/35.34 (define @t340 () (tptp.cartesian_product2 @t1 @t1)) % 35.14/35.34 (define @t341 () (tptp.apply @t25 @t280)) % 35.14/35.34 (define @t342 () (tptp.in (tptp.relation_image @t25 @t68) @t2)) % 35.14/35.34 (define @t343 () (tptp.powerset @t167)) % 35.14/35.34 (define @t344 () (and @t205 @t26 @t170)) % 35.14/35.34 (define @t345 () (tptp.succ @t2)) % 35.14/35.34 (define @t346 () (tptp.apply @t2 @t25)) % 35.14/35.34 (define @t347 () (= @t97 @t1)) % 35.14/35.34 (define @t348 () (exists @t13 (and @t64 @t99 @t347 (forall @t86 (=> @t58 (= @t346 @t256)))))) % 35.14/35.34 (define @t349 () (tptp.in @t1 tptp.omega)) % 35.14/35.34 (define @t350 () (= @t1 @t25)) % 35.14/35.34 (define @t351 () (tptp.relation_rng @t85)) % 35.14/35.34 (define @t352 () (forall @t86 (not (and @t155 (not (tptp.are_equipotent @t25 @t2)) @t150)))) % 35.14/35.34 (define @t353 () (tptp.powerset @t25)) % 35.14/35.34 (define @t354 () (forall @t61 (=> (and @t119 (tptp.subset @t56 @t25)) @t71))) % 35.14/35.34 (define @t355 () (tptp.relation_dom_restriction @t25 @t2)) % 35.14/35.34 (define @t356 () (tptp.relation_image @t2 @t1)) % 35.14/35.34 (define @t357 () (tptp.relation_inverse_image @t2 @t1)) % 35.14/35.34 (define @t358 () (tptp.relation_image @t2 @t357)) % 35.14/35.34 (define @t359 () (tptp.set_intersection2 @t97 @t1)) % 35.14/35.34 (define @t360 () (tptp.subset @t1 @t98)) % 35.14/35.34 (define @t361 () (tptp.relation_of2_as_subset @t56 @t25 @t2)) % 35.14/35.34 (define @t362 () (tptp.relation_rng @t56)) % 35.14/35.34 (define @t363 () (tptp.relation_of2_as_subset @t56 @t25 @t1)) % 35.14/35.34 (define @t364 () (tptp.relation_rng @t201)) % 35.14/35.34 (define @t365 () (tptp.relation_inverse_image @t25 @t2)) % 35.14/35.34 (define @t366 () (tptp.relation_restriction @t25 @t2)) % 35.14/35.34 (define @t367 () (tptp.relation_restriction @t2 @t1)) % 35.14/35.34 (define @t368 () (tptp.relation_dom_restriction @t2 @t1)) % 35.14/35.34 (define @t369 () (tptp.relation_field @t25)) % 35.14/35.34 (define @t370 () (tptp.in @t1 @t369)) % 35.14/35.34 (define @t371 () (tptp.set_intersection2 @t2 @t25)) % 35.14/35.34 (define @t372 () (tptp.subset @t1 @t25)) % 35.14/35.34 (define @t373 () (tptp.element @t1 @t2)) % 35.14/35.34 (define @t374 () (tptp.in @t1 @t167)) % 35.14/35.34 (define @t375 () (tptp.in @t178 @t25)) % 35.14/35.34 (define @t376 () (tptp.relation_field @t367)) % 35.14/35.34 (define @t377 () (tptp.apply @t25 @t1)) % 35.14/35.34 (define @t378 () (tptp.relation_composition @t25 @t2)) % 35.14/35.34 (define @t379 () (tptp.in @t1 (tptp.relation_dom @t378))) % 35.14/35.34 (define @t380 () (tptp.apply @t56 @t25)) % 35.14/35.34 (define @t381 () (and @t209 (tptp.quasi_total @t56 @t1 @t2) (tptp.relation_of2_as_subset @t56 @t1 @t2))) % 35.14/35.34 (define @t382 () (tptp.reflexive @t2)) % 35.14/35.34 (define @t383 () (tptp.below @t1 @t43 @t2)) % 35.14/35.34 (define @t384 () (forall @t86 (=> @t46 @t383))) % 35.14/35.34 (define @t385 () (=> @t47 @t384)) % 35.14/35.34 (define @t386 () (forall @t13 @t385)) % 35.14/35.34 (define @t387 () (and @t51 @t49 @t194 @t196)) % 35.14/35.34 (define @t388 () (=> @t387 @t386)) % 35.14/35.34 (define @t389 () (forall @t15 @t388)) % 35.14/35.34 (define @t390 () (not @t389)) % 35.14/35.34 (define @t391 () (tptp.connected @t2)) % 35.14/35.34 (define @t392 () (tptp.transitive @t2)) % 35.14/35.34 (define @t393 () (tptp.antisymmetric @t2)) % 35.14/35.34 (define @t394 () (tptp.well_ordering @t367)) % 35.14/35.34 (define @t395 () (= @t376 @t1)) % 35.14/35.34 (define @t396 () (tptp.well_orders @t2 @t1)) % 35.14/35.34 (define @t397 () (tptp.well_founded_relation @t2)) % 35.14/35.34 (define @t398 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 35.14/35.34 (define @t399 () (and @t58 @t119)) % 35.14/35.34 (define @t400 () (not @t188)) % 35.14/35.34 (define @t401 () (= @t1 @t345)) % 35.14/35.34 (define @t402 () (tptp.subset_complement @t1 @t25)) % 35.14/35.34 (define @t403 () (tptp.disjoint @t2 @t25)) % 35.14/35.34 (define @t404 () (tptp.relation_dom @t201)) % 35.14/35.34 (define @t405 () (tptp.element @t2 @t353)) % 35.14/35.34 (define @t406 () (tptp.in @t25 @t42)) % 35.14/35.34 (define @t407 () (and (tptp.in @t25 @t174) (= @t56 @t346))) % 35.14/35.34 (define @t408 () (tptp.function_inverse @t2)) % 35.14/35.34 (define @t409 () (= @t174 tptp.empty_set)) % 35.14/35.34 (define @t410 () (= @t77 tptp.empty_set)) % 35.14/35.34 (define @t411 () (= (tptp.apply @t262 @t2) (tptp.apply @t25 @t2))) % 35.14/35.34 (define @t412 () (= @t117 (tptp.unordered_pair @t2 @t25))) % 35.14/35.34 (define @t413 () (not @t46)) % 35.14/35.34 (define @t414 () (not @t47)) % 35.14/35.34 (define @t415 () (not @t48)) % 35.14/35.34 (define @t416 () (not @t49)) % 35.14/35.34 (define @t417 () (or @t50 @t416 @t415 @t414 @t413)) % 35.14/35.34 (define @t418 () (not @t51)) % 35.14/35.34 (define @t419 () (or @t418 @t416 @t415 @t414 @t413)) % 35.14/35.34 (define @t420 () (not @t52)) % 35.14/35.34 (define @t421 () (@var "BOUND_VARIABLE_14871" $$unsorted)) % 35.14/35.34 (define @t422 () (@var "BOUND_VARIABLE_14873" $$unsorted)) % 35.14/35.34 (define @t423 () (tptp.below @t1 (tptp.meet_commut @t1 @t421 @t422) @t421)) % 35.14/35.34 (define @t424 () (not (tptp.element @t422 @t45))) % 35.14/35.34 (define @t425 () (not (tptp.element @t421 @t45))) % 35.14/35.34 (define @t426 () (not @t196)) % 35.14/35.34 (define @t427 () (not @t194)) % 35.14/35.34 (define @t428 () (or @t50 @t416 @t427 @t426 @t425 @t424 @t423)) % 35.14/35.34 (define @t429 () (@list @t1 @t421 @t422)) % 35.14/35.34 (define @t430 () (forall @t429 @t428)) % 35.14/35.34 (define @t431 () (@quantifiers_skolemize @t430 2)) % 35.14/35.34 (define @t432 () (@quantifiers_skolemize @t430 1)) % 35.14/35.34 (define @t433 () (@quantifiers_skolemize @t430 0)) % 35.14/35.34 (define @t434 () (@list @t433 @t432 @t431)) % 35.14/35.34 (define @t435 () (@list @t433)) % 35.14/35.34 (define @t436 () (or @t425 @t424 @t423)) % 35.14/35.34 (define @t437 () (or @t50 @t416 @t427 @t426 @t436)) % 35.14/35.34 (define @t438 () (forall @t429 @t437)) % 35.14/35.34 (define @t439 () (@list @t421 @t422)) % 35.14/35.34 (define @t440 () (forall @t439 @t437)) % 35.14/35.34 (define @t441 () (forall @t439 @t436)) % 35.14/35.34 (define @t442 () (@var "BOUND_VARIABLE_14852" $$unsorted)) % 35.14/35.34 (define @t443 () (or @t50 @t416 @t427 @t426 @t441)) % 35.14/35.34 (define @t444 () (tptp.below @t1 (tptp.meet_commut @t1 @t2 @t442) @t2)) % 35.14/35.34 (define @t445 () (not (tptp.element @t442 @t45))) % 35.14/35.34 (define @t446 () (or @t414 @t445 @t444)) % 35.14/35.34 (define @t447 () (@list @t2 @t442)) % 35.14/35.34 (define @t448 () (forall @t447 @t446)) % 35.14/35.34 (define @t449 () (or @t50 @t416 @t427 @t426 @t448)) % 35.14/35.34 (define @t450 () (or @t418 @t416 @t427 @t426)) % 35.14/35.34 (define @t451 () (or @t445 @t444)) % 35.14/35.34 (define @t452 () (or @t414 @t451)) % 35.14/35.34 (define @t453 () (forall @t447 @t452)) % 35.14/35.34 (define @t454 () (@list @t442)) % 35.14/35.34 (define @t455 () (forall @t454 @t452)) % 35.14/35.34 (define @t456 () (forall @t454 @t451)) % 35.14/35.34 (define @t457 () (@list @t25)) % 35.14/35.34 (define @t458 () (or @t414 @t456)) % 35.14/35.34 (define @t459 () (forall @t86 (or @t413 @t383))) % 35.14/35.34 (define @t460 () (tptp.latt_str @t433)) % 35.14/35.34 (define @t461 () (tptp.meet_commut @t433 @t432 @t431)) % 35.14/35.34 (define @t462 () (tptp.below @t433 @t461 @t432)) % 35.14/35.34 (define @t463 () (tptp.the_carrier @t433)) % 35.14/35.34 (define @t464 () (tptp.element @t431 @t463)) % 35.14/35.34 (define @t465 () (not @t464)) % 35.14/35.34 (define @t466 () (tptp.element @t432 @t463)) % 35.14/35.34 (define @t467 () (not @t466)) % 35.14/35.34 (define @t468 () (not @t460)) % 35.14/35.34 (define @t469 () (tptp.meet_absorbing @t433)) % 35.14/35.34 (define @t470 () (not @t469)) % 35.14/35.34 (define @t471 () (tptp.meet_commutative @t433)) % 35.14/35.34 (define @t472 () (not @t471)) % 35.14/35.34 (define @t473 () (tptp.empty_carrier @t433)) % 35.14/35.34 (define @t474 () (or @t473 @t472 @t470 @t468 @t467 @t465 @t462)) % 35.14/35.34 (define @t475 () (@list true)) % 35.14/35.34 (define @t476 () (@list @t474)) % 35.14/35.34 (define @t477 () (tptp.join_semilatt_str @t433)) % 35.14/35.34 (define @t478 () (tptp.meet_semilatt_str @t433)) % 35.14/35.34 (define @t479 () (and @t478 @t477)) % 35.14/35.34 (define @t480 () (or @t468 @t479)) % 35.14/35.34 (define @t481 () (@list false false)) % 35.14/35.34 (define @t482 () (not @t479)) % 35.14/35.34 (define @t483 () (@list false)) % 35.14/35.34 (define @t484 () (@list @t479)) % 35.14/35.34 (define @t485 () (tptp.meet_commut @t433 @t431 @t432)) % 35.14/35.34 (define @t486 () (= @t461 @t485)) % 35.14/35.34 (define @t487 () (not @t478)) % 35.14/35.34 (define @t488 () (or @t473 @t472 @t487 @t467 @t465 @t486)) % 35.14/35.34 (define @t489 () (@list true false false false false false)) % 35.14/35.34 (define @t490 () (@var "BOUND_VARIABLE_11249" $$unsorted)) % 35.14/35.34 (define @t491 () (@var "BOUND_VARIABLE_11247" $$unsorted)) % 35.14/35.34 (define @t492 () (= (tptp.below @t1 @t491 @t490) (= @t490 (tptp.join @t1 @t491 @t490)))) % 35.14/35.34 (define @t493 () (not (tptp.element @t490 @t45))) % 35.14/35.34 (define @t494 () (not (tptp.element @t491 @t45))) % 35.14/35.34 (define @t495 () (not @t112)) % 35.14/35.34 (define @t496 () (or @t494 @t493 @t492)) % 35.14/35.34 (define @t497 () (or @t50 @t495 @t496)) % 35.14/35.34 (define @t498 () (forall (@list @t1 @t491 @t490) @t497)) % 35.14/35.34 (define @t499 () (@list @t491 @t490)) % 35.14/35.34 (define @t500 () (forall @t499 @t497)) % 35.14/35.34 (define @t501 () (forall @t499 @t496)) % 35.14/35.34 (define @t502 () (@var "BOUND_VARIABLE_11229" $$unsorted)) % 35.14/35.34 (define @t503 () (or @t50 @t495 @t501)) % 35.14/35.34 (define @t504 () (= (tptp.below @t1 @t2 @t502) (= @t502 (tptp.join @t1 @t2 @t502)))) % 35.14/35.34 (define @t505 () (not (tptp.element @t502 @t45))) % 35.14/35.34 (define @t506 () (or @t414 @t505 @t504)) % 35.14/35.34 (define @t507 () (@list @t2 @t502)) % 35.14/35.34 (define @t508 () (forall @t507 @t506)) % 35.14/35.34 (define @t509 () (or @t50 @t495 @t508)) % 35.14/35.34 (define @t510 () (or @t505 @t504)) % 35.14/35.34 (define @t511 () (or @t414 @t510)) % 35.14/35.34 (define @t512 () (forall @t507 @t511)) % 35.14/35.34 (define @t513 () (@list @t502)) % 35.14/35.34 (define @t514 () (forall @t513 @t511)) % 35.14/35.34 (define @t515 () (forall @t513 @t510)) % 35.14/35.34 (define @t516 () (or @t414 @t515)) % 35.14/35.34 (define @t517 () (= @t142 (= @t25 @t111))) % 35.14/35.34 (define @t518 () (forall @t86 (or @t413 @t517))) % 35.14/35.34 (define @t519 () (tptp.element @t461 @t463)) % 35.14/35.34 (define @t520 () (or @t473 @t472 @t487 @t467 @t465 @t519)) % 35.14/35.34 (define @t521 () (= @t432 (tptp.join @t433 @t461 @t432))) % 35.14/35.34 (define @t522 () (= @t462 @t521)) % 35.14/35.34 (define @t523 () (not @t519)) % 35.14/35.34 (define @t524 () (not @t477)) % 35.14/35.34 (define @t525 () (or @t473 @t524 @t523 @t467 @t522)) % 35.14/35.34 (define @t526 () (not @t521)) % 35.14/35.34 (define @t527 () (tptp.meet @t433 @t431 @t432)) % 35.14/35.34 (define @t528 () (= @t485 @t527)) % 35.14/35.34 (define @t529 () (or @t473 @t472 @t487 @t465 @t467 @t528)) % 35.14/35.34 (define @t530 () (@var "BOUND_VARIABLE_11748" $$unsorted)) % 35.14/35.34 (define @t531 () (= @t530 (tptp.join @t1 (tptp.meet @t1 @t2 @t530) @t530))) % 35.14/35.34 (define @t532 () (not (tptp.element @t530 @t45))) % 35.14/35.34 (define @t533 () (or @t414 @t532 @t531)) % 35.14/35.34 (define @t534 () (@list @t2 @t530)) % 35.14/35.34 (define @t535 () (= @t194 (forall @t534 @t533))) % 35.14/35.34 (define @t536 () (or @t532 @t531)) % 35.14/35.34 (define @t537 () (or @t414 @t536)) % 35.14/35.34 (define @t538 () (forall @t534 @t537)) % 35.14/35.34 (define @t539 () (@list @t530)) % 35.14/35.34 (define @t540 () (forall @t539 @t537)) % 35.14/35.34 (define @t541 () (forall @t539 @t536)) % 35.14/35.34 (define @t542 () (or @t414 @t541)) % 35.14/35.34 (define @t543 () (= @t25 @t189)) % 35.14/35.34 (define @t544 () (forall @t86 (or @t413 @t543))) % 35.14/35.34 (define @t545 () (forall @t534 (or (not (tptp.element @t2 @t463)) (not (tptp.element @t530 @t463)) (= @t530 (tptp.join @t433 (tptp.meet @t433 @t2 @t530) @t530))))) % 35.14/35.34 (define @t546 () (= @t469 @t545)) % 35.14/35.34 (define @t547 () (or @t473 @t468 @t546)) % 35.14/35.34 (define @t548 () (tptp.join @t433 @t527 @t432)) % 35.14/35.34 (define @t549 () (= @t432 @t548)) % 35.14/35.34 (define @t550 () (or @t465 @t467 @t549)) % 35.14/35.34 (define @t551 () (not @t549)) % 35.14/35.34 (define @t552 () (not @t528)) % 35.14/35.34 (define @t553 () (not @t486)) % 35.14/35.34 (define @t554 () (and @t486 @t526 @t528)) % 35.14/35.34 (assume @p1 (forall @t6 (=> @t5 @t4))) % 35.14/35.34 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 35.14/35.34 (assume @p3 (forall @t15 (=> @t14 (forall @t13 (=> @t12 (and @t11 @t10 @t9)))))) % 35.14/35.34 (assume @p4 (forall @t15 (=> @t17 @t16))) % 35.14/35.34 (assume @p5 (forall @t15 (=> @t19 @t18))) % 35.14/35.34 (assume @p6 (forall @t15 (=> @t17 @t20))) % 35.14/35.34 (assume @p7 (forall @t15 (=> @t14 @t23))) % 35.14/35.34 (assume @p8 (forall @t15 (=> @t17 @t24))) % 35.14/35.34 (assume @p9 (forall @t29 (=> @t28 @t26))) % 35.14/35.34 (assume @p10 (forall @t15 (=> (and @t17 @t14) @t31))) % 35.14/35.34 (assume @p11 (forall @t15 (=> @t16 (forall @t13 (=> @t34 @t32))))) % 35.14/35.34 (assume @p12 (forall @t15 (=> @t18 @t19))) % 35.14/35.34 (assume @p13 (forall @t15 (=> @t37 @t36))) % 35.14/35.34 (assume @p14 (forall @t15 (=> @t23 @t14))) % 35.14/35.34 (assume @p15 (forall @t15 (=> (tptp.element @t1 tptp.omega) @t31))) % 35.14/35.34 (assume @p16 (forall @t15 (=> @t17 @t38))) % 35.14/35.34 (assume @p17 (forall @t6 (= @t39 (tptp.unordered_pair @t2 @t1)))) % 35.14/35.34 (assume @p18 (forall @t6 (= @t41 @t40))) % 35.14/35.34 (assume @p19 (forall @t6 (= @t42 (tptp.set_intersection2 @t2 @t1)))) % 35.14/35.34 (assume @p20 @t53) % 35.14/35.34 (assume @p21 (forall @t6 (=> @t55 (or @t54 (tptp.ordinal_subset @t2 @t1))))) % 35.14/35.34 (assume @p22 (forall @t6 (=> @t64 (= @t63 (forall @t61 (= @t60 (and @t58 @t57))))))) % 35.14/35.34 (assume @p23 (forall @t6 (= @t67 (and @t66 @t65)))) % 35.14/35.34 (assume @p24 (forall @t15 (=> @t24 (forall @t75 (=> @t26 (= (= @t25 @t74) (forall @t73 (= @t72 (and @t71 @t70))))))))) % 35.14/35.34 (assume @p25 (forall @t15 (=> @t83 (forall @t75 (= @t82 (forall @t80 (= @t79 (exists @t78 (and (tptp.in @t68 @t77) @t76 (= @t56 (tptp.apply @t1 @t68))))))))))) % 35.14/35.34 (assume @p26 (forall @t6 (=> @t64 (forall @t86 (=> @t26 (= (= @t25 @t85) (forall @t73 (= @t72 (and @t84 (tptp.in @t69 @t2)))))))))) % 35.14/35.34 (assume @p27 (forall @t15 (=> @t24 (= @t88 (tptp.is_antisymmetric_in @t1 @t87))))) % 35.14/35.34 (assume @p28 (forall @t15 (=> @t83 (forall @t75 (= @t91 (forall @t80 (= @t79 (and @t90 (tptp.in @t89 @t2))))))))) % 35.14/35.34 (assume @p29 (forall @t15 (=> @t24 (forall @t75 (= @t82 (forall @t80 (= @t79 (exists @t78 (and (tptp.in @t92 @t1) @t76))))))))) % 35.14/35.34 (assume @p30 (forall @t15 (=> @t24 (forall @t75 (= @t91 (forall @t80 (= @t79 (exists @t78 (and @t70 @t76))))))))) % 35.14/35.34 (assume @p31 (forall @t15 (=> @t24 (= @t93 (tptp.is_connected_in @t1 @t87))))) % 35.14/35.34 (assume @p32 (forall @t15 (=> @t24 (= @t94 (tptp.is_transitive_in @t1 @t87))))) % 35.14/35.34 (assume @p33 (forall @t96 (= (= @t56 (tptp.unordered_triple @t1 @t2 @t25)) (forall @t78 (= @t95 (not (and (not (= @t68 @t1)) (not (= @t68 @t2)) (not (= @t68 @t25))))))))) % 35.14/35.34 (assume @p34 (forall @t15 (= @t16 (exists @t13 (and @t64 @t99 (= @t98 @t1) (tptp.in @t97 tptp.omega)))))) % 35.14/35.34 (assume @p35 (forall @t15 (= @t20 (forall @t103 (=> (and @t102 @t100) @t57))))) % 35.14/35.34 (assume @p36 (forall @t29 (=> @t109 (and (=> (=> @t107 @t106) (= @t105 (= @t1 @t108))) (=> @t107 (or @t106 (= @t105 @t104))))))) % 35.14/35.34 (assume @p37 (forall @t15 (=> @t113 (forall @t13 (=> @t47 (forall @t86 (=> @t46 (= @t111 (tptp.apply_binary_as_element @t45 @t45 @t45 @t110 @t2 @t25))))))))) % 35.14/35.34 (assume @p38 (forall @t15 (=> @t116 (forall @t13 (= (= @t2 (tptp.pair_first @t1)) (forall @t61 (=> @t115 @t114))))))) % 35.14/35.34 (assume @p39 (forall @t15 (= @t118 (tptp.set_union2 @t1 @t117)))) % 35.14/35.34 (assume @p40 (forall @t15 (= @t24 (forall @t13 (not (and @t3 (forall @t61 (not (= @t2 @t59))))))))) % 35.14/35.34 (assume @p41 (forall @t15 (=> @t24 (forall @t13 (= @t120 (forall @t86 (=> @t119 (tptp.in (tptp.ordered_pair @t25 @t25) @t1)))))))) % 35.14/35.34 (assume @p42 (forall @t29 (= @t121 (tptp.subset @t25 @t27)))) % 35.14/35.34 (assume @p43 (forall @t6 (and (=> @t125 (= @t122 (forall @t86 (= @t119 (forall @t80 (=> @t124 @t123)))))) (=> @t106 (= @t122 @t107))))) % 35.14/35.34 (assume @p44 (forall @t6 (= (= @t2 @t117) (forall @t86 (= @t119 (= @t25 @t1)))))) % 35.14/35.34 (assume @p45 (forall @t15 (=> @t24 (forall @t75 (= (= @t25 (tptp.fiber @t1 @t2)) (forall @t80 (= @t79 (and (not @t126) (tptp.in (tptp.ordered_pair @t56 @t2) @t1))))))))) % 35.14/35.34 (assume @p46 (forall @t6 (=> @t64 (= (= @t2 @t129) (and (= @t128 @t1) (forall @t61 (=> (and @t58 @t124) (= @t60 @t127)))))))) % 35.14/35.34 (assume @p47 (forall @t15 (= @t106 (forall @t13 @t4)))) % 35.14/35.34 (assume @p48 (forall @t6 (= (= @t2 @t33) (forall @t86 (= @t119 (tptp.subset @t25 @t1)))))) % 35.14/35.34 (assume @p49 (forall @t15 (=> (and @t51 @t48) (forall @t13 (=> @t47 (forall @t86 (=> @t46 (= @t131 (tptp.apply_binary_as_element @t45 @t45 @t45 @t130 @t2 @t25))))))))) % 35.14/35.34 (assume @p50 (forall @t15 (=> @t116 (forall @t13 (= (= @t2 (tptp.pair_second @t1)) (forall @t61 (=> @t115 @t132))))))) % 35.14/35.34 (assume @p51 (forall @t15 (= @t22 (forall @t13 (=> @t3 @t65))))) % 35.14/35.34 (assume @p52 (forall @t15 (=> @t24 (forall @t13 (=> @t64 (= @t67 (forall @t61 (= @t133 @t60)))))))) % 35.14/35.34 (assume @p53 (forall @t6 (and (=> @t135 (= @t12 @t3)) (=> @t17 (= @t12 @t134))))) % 35.14/35.34 (assume @p54 (forall @t29 (= (= @t25 @t39) (forall @t80 (= @t79 (or (= @t56 @t1) @t126)))))) % 35.14/35.34 (assume @p55 (forall @t15 (=> @t24 (= @t137 (forall @t13 (not (and (tptp.subset @t2 @t87) @t136 (forall @t86 (not (and @t119 (tptp.disjoint (tptp.fiber @t1 @t25) @t2))))))))))) % 35.14/35.34 (assume @p56 (forall @t29 (= (= @t25 @t41) (forall @t80 (= @t79 (or @t124 @t71)))))) % 35.14/35.34 (assume @p57 (forall @t29 (= (= @t25 @t27) (forall @t80 (= @t79 (exists @t141 (and @t84 @t140 (= @t56 @t139)))))))) % 35.14/35.34 (assume @p58 @t149) % 35.14/35.34 (assume @p59 (forall @t15 (= @t21 (forall @t75 (not (and @t3 @t58 (not @t152) @t151 @t150)))))) % 35.14/35.34 (assume @p60 (forall @t15 (=> @t24 (forall @t13 (=> @t64 (= @t66 (forall @t61 (=> @t133 @t60)))))))) % 35.14/35.34 (assume @p61 (forall @t6 (= @t66 @t153))) % 35.14/35.34 (assume @p62 (forall @t15 (=> @t24 (forall @t13 (= @t156 (forall @t86 (not (and @t155 @t154 (forall @t80 (not (and @t79 (tptp.disjoint (tptp.fiber @t1 @t56) @t25)))))))))))) % 35.14/35.34 (assume @p63 (forall @t29 (= (= @t25 @t42) (forall @t80 (= @t79 (and @t124 @t71)))))) % 35.14/35.34 (assume @p64 (forall @t15 (=> @t83 (forall @t75 (and (=> @t159 (= @t158 @t102)) (=> (not @t159) (= @t158 @t104))))))) % 35.14/35.34 (assume @p65 (forall @t15 (= @t14 @t23))) % 35.14/35.34 (assume @p66 (forall @t15 (=> @t24 (forall @t13 (= (= @t2 @t77) (forall @t86 (= @t119 (exists @t80 @t133)))))))) % 35.14/35.34 (assume @p67 (forall @t15 (=> @t24 (forall @t13 (= @t161 (forall @t61 (=> (and @t119 @t71 @t133 @t160) @t57))))))) % 35.14/35.34 (assume @p68 (forall @t15 (= @t162 @t1))) % 35.14/35.34 (assume @p69 (forall @t6 (= (= @t2 @t163) (forall @t86 (= @t119 (exists @t80 (and @t123 @t124))))))) % 35.14/35.34 (assume @p70 (forall @t15 (=> @t24 (= @t165 (and @t164 @t94 @t88 @t93 @t137))))) % 35.14/35.34 (assume @p71 (forall @t6 (= @t171 (exists @t86 (and @t26 @t170 @t169 @t168 (= @t166 @t2)))))) % 35.14/35.34 (assume @p72 (forall @t29 (= (= @t25 @t172) (forall @t80 (= @t79 (and @t124 (not @t71))))))) % 35.14/35.34 (assume @p73 (forall @t15 (=> @t83 (forall @t13 (= @t175 (forall @t86 (= @t119 (exists @t80 @t173)))))))) % 35.14/35.34 (assume @p74 (forall @t15 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t176 @t14 (forall @t13 (=> @t9 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t66))))))) % 35.14/35.34 (assume @p75 (forall @t15 (=> @t24 (forall @t13 (= @t175 (forall @t86 (= @t119 (exists @t80 @t160)))))))) % 35.14/35.34 (assume @p76 (forall @t6 (=> @t34 (= @t177 @t172)))) % 35.14/35.34 (assume @p77 (forall @t6 (= @t178 (tptp.unordered_pair @t39 @t117)))) % 35.14/35.34 (assume @p78 (forall @t15 (=> @t24 (forall @t13 (= (tptp.well_orders @t1 @t2) (and @t120 @t180 @t161 @t179 @t156)))))) % 35.14/35.34 (assume @p79 (forall @t15 (= @t176 (= @t1 @t163)))) % 35.14/35.34 (assume @p80 (forall @t15 (=> @t24 (= @t87 (tptp.set_union2 @t77 @t174))))) % 35.14/35.34 (assume @p81 (forall @t15 (=> @t24 (forall @t13 (= @t179 (forall @t61 (not (and @t119 @t71 (not @t57) (not @t133) (not @t160))))))))) % 35.14/35.34 (assume @p82 (forall @t15 (=> @t24 (forall @t13 (= @t182 (tptp.set_intersection2 @t1 @t181)))))) % 35.14/35.34 (assume @p83 (forall @t15 (=> @t24 (forall @t13 (=> @t64 (= (= @t2 @t183) (forall @t61 (= @t60 @t160)))))))) % 35.14/35.34 (assume @p84 (forall @t15 (=> @t24 (forall @t13 (=> @t64 (forall @t86 (=> @t187 (= @t186 (and (= @t167 @t87) (= @t166 @t128) @t169 (forall @t73 (= @t70 (and (tptp.in @t56 @t87) (tptp.in @t68 @t87) (tptp.in (tptp.ordered_pair @t185 @t184) @t2))))))))))))) % 35.14/35.34 (assume @p85 (forall @t6 (= @t188 (= @t42 tptp.empty_set)))) % 35.14/35.34 (assume @p86 (forall @t15 (=> @t83 (= @t35 (forall @t75 (=> (and @t159 (tptp.in @t25 @t77) (= @t157 (tptp.apply @t1 @t25))) @t114)))))) % 35.14/35.34 (assume @p87 @t199) % 35.14/35.34 (assume @p88 (forall @t15 (=> @t24 (forall @t13 (=> @t64 (forall @t86 (=> @t26 (= (= @t25 @t201) (forall @t73 (= @t72 (exists @t200 (and (tptp.in (tptp.ordered_pair @t56 @t138) @t1) (tptp.in (tptp.ordered_pair @t138 @t68) @t2))))))))))))) % 35.14/35.34 (assume @p89 (forall @t15 (=> @t24 (forall @t13 (= @t180 (forall @t202 (=> (and @t119 @t71 @t76 @t133 @t70) (tptp.in (tptp.ordered_pair @t25 @t68) @t1)))))))) % 35.14/35.34 (assume @p90 (forall @t6 (=> @t205 (forall @t86 (=> (tptp.element @t25 @t204) (= (= @t25 @t203) (forall @t80 (=> (tptp.element @t56 @t33) (= @t79 (tptp.in (tptp.subset_complement @t1 @t56) @t2)))))))))) % 35.14/35.34 (assume @p91 (forall @t6 (= @t8 (and @t66 @t206)))) % 35.14/35.34 (assume @p92 (forall @t15 (=> @t83 (=> @t35 (= @t207 @t183))))) % 35.14/35.34 (assume @p93 (forall @t15 (=> @t24 (= @t164 (tptp.is_reflexive_in @t1 @t87))))) % 35.14/35.34 (assume @p94 true) % 35.14/35.34 (assume @p95 (forall @t29 (=> (and @t51 @t112 @t47 @t46) (tptp.element @t111 @t45)))) % 35.14/35.34 (assume @p96 (forall @t15 (tptp.relation @t129))) % 35.14/35.34 (assume @p97 (forall @t212 (=> @t211 (tptp.element @t208 @t25)))) % 35.14/35.34 (assume @p98 (forall @t15 (=> @t83 (and (tptp.relation @t207) (tptp.function @t207))))) % 35.14/35.34 (assume @p99 (forall @t29 (=> (and @t51 @t48 @t47 @t46) (tptp.element @t131 @t45)))) % 35.14/35.34 (assume @p100 (forall @t15 (tptp.element @t162 @t33))) % 35.14/35.34 (assume @p101 (forall @t6 (=> @t24 (tptp.relation @t182)))) % 35.14/35.34 (assume @p102 (forall @t6 (=> @t34 (tptp.element @t177 @t33)))) % 35.14/35.34 (assume @p103 @t214) % 35.14/35.34 (assume @p104 (forall @t15 (=> @t24 @t215))) % 35.14/35.34 (assume @p105 (forall @t29 (=> @t121 (tptp.element @t108 @t33)))) % 35.14/35.34 (assume @p106 (forall @t6 (=> @t217 @t216))) % 35.14/35.34 (assume @p107 (forall @t29 (=> @t121 (tptp.element @t219 @t218)))) % 35.14/35.34 (assume @p108 (forall @t6 (=> @t205 (tptp.element @t220 @t33)))) % 35.14/35.34 (assume @p109 (forall @t15 @t221)) % 35.14/35.34 (assume @p110 (forall @t6 (=> @t205 (tptp.element @t222 @t33)))) % 35.14/35.34 (assume @p111 (forall @t29 (=> @t225 (tptp.element @t223 @t33)))) % 35.14/35.34 (assume @p112 (forall @t6 (=> @t24 @t226))) % 35.14/35.34 (assume @p113 (forall @t6 (=> @t205 (tptp.element @t203 @t204)))) % 35.14/35.34 (assume @p114 (forall @t6 (=> @t64 @t227))) % 35.14/35.34 (assume @p115 (forall @t15 (=> @t48 @t228))) % 35.14/35.34 (assume @p116 (forall @t15 (=> @t112 @t228))) % 35.14/35.34 (assume @p117 @t230) % 35.14/35.34 (assume @p118 (forall @t29 (=> @t109 @t28))) % 35.14/35.34 (assume @p119 (forall @t15 (=> @t48 (and (tptp.function @t130) (tptp.quasi_total @t130 @t231 @t45) (tptp.relation_of2_as_subset @t130 @t231 @t45))))) % 35.14/35.34 (assume @p120 (forall @t15 (=> @t112 (and (tptp.function @t110) (tptp.quasi_total @t110 @t231 @t45) (tptp.relation_of2_as_subset @t110 @t231 @t45))))) % 35.14/35.34 (assume @p121 (exists @t15 @t48)) % 35.14/35.34 (assume @p122 (exists @t15 @t228)) % 35.14/35.34 (assume @p123 (exists @t15 @t112)) % 35.14/35.34 (assume @p124 (exists @t15 @t196)) % 35.14/35.34 (assume @p125 (forall @t6 (exists @t86 @t121))) % 35.14/35.34 (assume @p126 (forall @t15 (exists @t13 @t12))) % 35.14/35.34 (assume @p127 (forall @t6 (exists @t86 @t109))) % 35.14/35.34 (assume @p128 (forall @t6 (=> @t32 @t232))) % 35.14/35.34 (assume @p129 (forall @t6 (=> @t234 (and (tptp.empty @t233) (tptp.relation @t233))))) % 35.14/35.34 (assume @p130 (forall @t6 (=> @t16 @t232))) % 35.14/35.34 (assume @p131 (forall @t15 (=> @t17 (and (tptp.empty @t183) @t215)))) % 35.14/35.34 (assume @p132 (forall @t6 (=> @t16 (tptp.finite @t172)))) % 35.14/35.34 (assume @p133 (and @t237 @t236 @t235)) % 35.14/35.34 (assume @p134 (forall @t6 (=> (and @t24 @t20 @t32) (tptp.finite @t81)))) % 35.14/35.34 (assume @p135 (forall @t6 (=> @t239 (and @t226 (tptp.relation_empty_yielding @t74))))) % 35.14/35.34 (assume @p136 (forall @t15 (and @t240 (tptp.finite @t117)))) % 35.14/35.34 (assume @p137 (forall @t15 (and @t241 (tptp.cup_closed @t33) (tptp.diff_closed @t33) (tptp.preboolean @t33)))) % 35.14/35.34 (assume @p138 (forall @t6 (=> (and @t24 @t20 @t64 @t99) (and @t216 (tptp.function @t201))))) % 35.14/35.34 (assume @p139 (forall @t15 @t242)) % 35.14/35.34 (assume @p140 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 35.14/35.34 (assume @p141 (forall @t6 (=> @t217 (tptp.relation @t42)))) % 35.14/35.34 (assume @p142 (forall @t15 (=> @t243 (not (tptp.empty @t45))))) % 35.14/35.34 (assume @p143 (forall @t15 @t241)) % 35.14/35.34 (assume @p144 @t237) % 35.14/35.34 (assume @p145 (forall @t6 (not (tptp.empty @t178)))) % 35.14/35.34 (assume @p146 (forall @t15 (=> (and @t14 @t30) (and @t242 @t246 @t245 @t244 (tptp.natural @t118))))) % 35.14/35.34 (assume @p147 (forall @t15 (and @t221 (tptp.function @t62)))) % 35.14/35.34 (assume @p148 (and @t236 @t235 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t237 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 35.14/35.34 (assume @p149 (forall @t6 (=> @t217 (tptp.relation @t41)))) % 35.14/35.34 (assume @p150 (forall @t15 @t240)) % 35.14/35.34 (assume @p151 (forall @t6 (=> @t135 (not (tptp.empty @t41))))) % 35.14/35.34 (assume @p152 (forall @t15 (=> @t36 (and @t215 (tptp.function @t183))))) % 35.14/35.34 (assume @p153 (forall @t15 (=> @t14 (and @t242 @t246 @t245 @t244)))) % 35.14/35.34 (assume @p154 (forall @t6 (=> @t217 (tptp.relation @t172)))) % 35.14/35.34 (assume @p155 (forall @t6 (not (tptp.empty @t39)))) % 35.14/35.34 (assume @p156 (forall @t6 (=> @t135 (not (tptp.empty @t40))))) % 35.14/35.34 (assume @p157 (forall @t6 (=> @t83 (and @t226 (tptp.function @t74))))) % 35.14/35.34 (assume @p158 (forall @t15 (=> @t14 (and (tptp.epsilon_transitive @t163) (tptp.epsilon_connected @t163) (tptp.ordinal @t163))))) % 35.14/35.34 (assume @p159 (and @t237 @t236)) % 35.14/35.34 (assume @p160 (forall @t6 (=> (and @t135 @t210) (not (tptp.empty @t27))))) % 35.14/35.34 (assume @p161 (forall @t6 (=> @t247 (and @t227 (tptp.function @t85))))) % 35.14/35.34 (assume @p162 (forall @t15 (=> @t249 (not @t248)))) % 35.14/35.34 (assume @p163 (forall @t15 (=> @t249 (not @t250)))) % 35.14/35.34 (assume @p164 (forall @t15 (=> @t17 (and @t248 (tptp.relation @t77))))) % 35.14/35.34 (assume @p165 (forall @t15 (=> @t17 (and @t250 (tptp.relation @t174))))) % 35.14/35.34 (assume @p166 (forall @t6 (=> (and @t16 @t32) (tptp.finite @t41)))) % 35.14/35.34 (assume @p167 (forall @t6 (=> @t234 (and (tptp.empty @t201) @t216)))) % 35.14/35.34 (assume @p168 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 35.14/35.34 (assume @p169 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 35.14/35.34 (assume @p170 (forall @t6 (=> @t34 (= (tptp.subset_complement @t1 @t177) @t2)))) % 35.14/35.34 (assume @p171 (forall @t15 (=> @t24 (= (tptp.relation_inverse @t183) @t1)))) % 35.14/35.34 (assume @p172 (forall @t6 (=> @t205 (= (tptp.complements_of_subsets @t1 @t203) @t2)))) % 35.14/35.34 (assume @p173 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 35.14/35.34 (assume @p174 (forall @t15 (=> @t24 (= @t164 (forall @t13 (=> @t251 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 35.14/35.34 (assume @p175 (forall @t15 (not (= @t117 tptp.empty_set)))) % 35.14/35.34 (assume @p176 (forall @t6 (=> @t5 (= (tptp.set_union2 @t117 @t2) @t2)))) % 35.14/35.34 (assume @p177 (forall @t6 (not (and @t252 @t5)))) % 35.14/35.34 (assume @p178 (forall @t6 (=> @t253 @t252))) % 35.14/35.34 (assume @p179 (forall @t6 (=> @t64 (tptp.subset (tptp.relation_dom @t85) @t97)))) % 35.14/35.34 (assume @p180 (forall @t15 (=> @t24 (= @t94 (forall @t103 (=> (and @t102 @t133) @t100)))))) % 35.14/35.34 (assume @p181 (forall @t6 (= (tptp.subset @t117 @t2) @t5))) % 35.14/35.34 (assume @p182 (forall @t6 (=> @t64 (not (and @t254 (tptp.equipotent @t1 @t128) (forall @t86 (=> @t26 (not (tptp.well_orders @t25 @t1))))))))) % 35.14/35.34 (assume @p183 (forall @t6 (= (= @t172 tptp.empty_set) @t66))) % 35.14/35.34 (assume @p184 (forall @t6 (=> @t34 (forall @t86 (=> @t119 @t58))))) % 35.14/35.34 (assume @p185 (forall @t15 (=> @t24 (= @t88 (forall @t75 (=> (and @t102 @t255) @t114)))))) % 35.14/35.34 (assume @p186 (forall @t29 (=> @t66 (or @t58 (tptp.subset @t1 (tptp.set_difference @t2 @t256)))))) % 35.14/35.34 (assume @p187 (forall @t15 (=> @t24 (= @t93 (forall @t75 (not (and @t251 (tptp.in @t25 @t87) @t151 @t257 (not @t255)))))))) % 35.14/35.34 (assume @p188 (forall @t6 (= (tptp.subset @t1 @t258) (or @t106 (= @t1 @t258))))) % 35.14/35.34 (assume @p189 (forall @t6 (=> @t5 (tptp.subset @t1 @t259)))) % 35.14/35.34 (assume @p190 (forall @t96 (= (tptp.in @t178 (tptp.cartesian_product2 @t25 @t56)) (and @t260 (tptp.in @t2 @t56))))) % 35.14/35.34 (assume @p191 (forall @t6 (=> @t153 @t261))) % 35.14/35.34 (assume @p192 (forall @t29 (=> @t187 (= @t263 (and (tptp.in @t2 @t167) @t3))))) % 35.14/35.34 (assume @p193 (exists @t15 (and @t135 @t22 @t21 @t14 @t30))) % 35.14/35.34 (assume @p194 (exists @t15 (and @t135 @t16))) % 35.14/35.34 (assume @p195 (exists @t15 @t83)) % 35.14/35.34 (assume @p196 (forall @t6 (exists @t86 (and @t121 @t26 @t170 @t105)))) % 35.14/35.34 (assume @p197 (exists @t15 @t38)) % 35.14/35.34 (assume @p198 (exists @t15 (and @t22 @t21 @t14 @t176))) % 35.14/35.34 (assume @p199 (exists @t15 (and @t24 @t20 @t35 @t17))) % 35.14/35.34 (assume @p200 (exists @t15 (and @t17 @t24))) % 35.14/35.34 (assume @p201 (forall @t15 (=> @t135 (exists @t13 (and @t34 @t210))))) % 35.14/35.34 (assume @p202 (exists @t15 @t17)) % 35.14/35.34 (assume @p203 (forall @t15 (exists @t13 (and @t34 @t134 @t64 @t99 @t264 @t11 @t10 @t9 (tptp.natural @t2) @t32)))) % 35.14/35.34 (assume @p204 (exists @t15 @t37)) % 35.14/35.34 (assume @p205 (exists @t15 (and @t24 @t20 @t35 @t17 @t22 @t21 @t14))) % 35.14/35.34 (assume @p206 (forall @t6 (exists @t86 (and @t121 @t26 @t170)))) % 35.14/35.34 (assume @p207 (exists @t15 @t249)) % 35.14/35.34 (assume @p208 (forall @t15 (exists @t13 (and @t34 @t134)))) % 35.14/35.34 (assume @p209 (exists @t15 @t135)) % 35.14/35.34 (assume @p210 (forall @t15 (=> @t135 (exists @t13 (and @t34 @t210 @t32))))) % 35.14/35.34 (assume @p211 (exists @t15 @t36)) % 35.14/35.34 (assume @p212 (exists @t15 (and @t135 @t22 @t21 @t14))) % 35.14/35.34 (assume @p213 (exists @t15 @t239)) % 35.14/35.34 (assume @p214 (exists @t15 (and @t228 @t51))) % 35.14/35.34 (assume @p215 (exists @t15 (and @t24 @t238 @t20))) % 35.14/35.34 (assume @p216 (forall @t15 (=> @t243 (exists @t13 (and (tptp.element @t2 (tptp.powerset @t45)) @t210))))) % 35.14/35.34 (assume @p217 (forall @t212 (=> @t211 (= @t208 (tptp.apply_binary @t56 @t68 @t138))))) % 35.14/35.34 (assume @p218 @t266) % 35.14/35.34 (assume @p219 (forall @t29 (=> @t121 (= @t108 @t167)))) % 35.14/35.34 (assume @p220 (forall @t29 (=> @t121 (= @t219 @t166)))) % 35.14/35.34 (assume @p221 (forall @t6 (=> @t205 (= @t220 @t259)))) % 35.14/35.34 (assume @p222 (forall @t6 (=> @t205 (= @t222 (tptp.set_meet @t2))))) % 35.14/35.34 (assume @p223 (forall @t29 (=> @t225 (= @t223 @t267)))) % 35.14/35.34 (assume @p224 (forall @t29 (= @t109 @t121))) % 35.14/35.34 (assume @p225 (forall @t6 (=> @t55 (= @t54 @t66)))) % 35.14/35.34 (assume @p226 (forall @t6 (= @t171 (tptp.are_equipotent @t1 @t2)))) % 35.14/35.34 (assume @p227 (forall @t6 (=> @t55 (tptp.ordinal_subset @t1 @t1)))) % 35.14/35.34 (assume @p228 (forall @t6 (tptp.subset @t1 @t1))) % 35.14/35.34 (assume @p229 (forall @t6 (tptp.equipotent @t1 @t1))) % 35.14/35.34 (assume @p230 (forall @t6 (=> @t285 (=> @t284 (exists @t86 (and @t26 @t170 (forall @t73 (= @t72 (and @t124 @t124 (exists @t272 (and (= @t56 @t269) (tptp.in @t68 @t269) (forall @t271 (=> @t270 (tptp.in (tptp.ordered_pair @t68 @t268) @t2)))))))))))))) % 35.14/35.34 (assume @p231 (forall @t15 (=> @t288 (exists @t13 (and @t64 @t99 (forall @t61 (= @t60 (and @t58 @t58 (= @t56 @t256))))))))) % 35.14/35.34 (assume @p232 (forall @t15 (=> (exists @t13 (and @t9 @t3)) (exists @t13 (and @t9 @t3 (forall @t86 (=> @t289 (=> @t58 (tptp.ordinal_subset @t2 @t25))))))))) % 35.14/35.34 (assume @p233 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t15 (=> (tptp.element @t1 (tptp.powerset @t313)) (not (and @t125 (forall @t13 (not (and @t3 (forall @t86 (=> (and @t58 @t312) (= @t25 @t2))))))))))) (forall @t80 (=> @t296 (=> @t311 (=> (tptp.in @t310 tptp.omega) (forall @t278 (=> (tptp.element @t275 (tptp.powerset (tptp.powerset @t310))) (not (and (not (= @t275 tptp.empty_set)) (forall @t277 (not (and @t276 (forall @t272 (=> (and (tptp.in @t269 @t275) (tptp.subset @t274 @t269)) (= @t269 @t274)))))))))))))) (forall @t80 (=> @t296 (=> (and (tptp.being_limit_ordinal @t56) (forall @t271 (=> (tptp.ordinal @t268) (=> (tptp.in @t268 @t56) (=> (tptp.in @t268 tptp.omega) (forall @t309 (=> (tptp.element @t305 (tptp.powerset (tptp.powerset @t268))) (not (and (not (= @t305 tptp.empty_set)) (forall @t308 (not (and @t307 (forall @t306 (=> (and (tptp.in @t304 @t305) (tptp.subset @t303 @t304)) (= @t304 @t303))))))))))))))) (or (= @t56 tptp.empty_set) (=> @t295 (forall @t302 (=> (tptp.element @t299 @t293) (not (and (not (= @t299 tptp.empty_set)) (forall @t301 (not (and (tptp.in @t297 @t299) (forall @t300 (=> (and (tptp.in @t298 @t299) (tptp.subset @t297 @t298)) (= @t298 @t297)))))))))))))))) (forall @t80 (=> @t296 (=> @t295 (forall @t294 (=> (tptp.element @t292 @t293) (not (and (not (= @t292 tptp.empty_set)) (forall (@list @t290) (not (and (tptp.in @t290 @t292) (forall (@list @t291) (=> (and (tptp.in @t291 @t292) (tptp.subset @t290 @t291)) (= @t291 @t290))))))))))))))) % 35.14/35.34 (assume @p234 (forall @t29 (=> @t317 (exists @t80 (and @t316 (forall @t141 (= (tptp.in @t139 @t56) (and @t84 @t315 (tptp.in (tptp.ordered_pair @t184 @t314) @t2))))))))) % 35.14/35.34 (assume @p235 (forall @t6 (=> @t285 (=> @t284 (exists @t86 (forall @t80 (= @t79 (exists @t78 (and @t84 @t84 (exists @t272 (and (= @t68 @t269) @t319 @t318))))))))))) % 35.14/35.34 (assume @p236 (forall @t6 (=> @t285 (forall @t86 (=> (forall @t330 (=> (and @t273 (exists @t329 (and (= @t328 @t68) @t327 (exists @t277 (and (= @t280 @t274) (tptp.in @t275 @t274) (forall @t272 (=> @t326 (tptp.in (tptp.ordered_pair @t275 @t269) @t2))))))) @t325 (exists @t324 (and (= @t323 @t138) (tptp.in @t268 @t1) (exists @t308 (and (= @t268 @t303) (tptp.in @t305 @t303) (forall @t306 (=> (tptp.in @t304 @t303) (tptp.in (tptp.ordered_pair @t305 @t304) @t2)))))))) @t322)) (exists @t80 (forall @t78 (= @t95 (exists @t200 (and (tptp.in @t138 @t321) @t320 (exists (@list @t299 @t297) (and (= (tptp.ordered_pair @t299 @t297) @t68) (tptp.in @t299 @t1) (exists @t300 (and (= @t299 @t298) (tptp.in @t297 @t298) (forall @t294 (=> (tptp.in @t292 @t298) (tptp.in (tptp.ordered_pair @t297 @t292) @t2))))))))))))))))) % 35.14/35.34 (assume @p237 (forall @t15 (=> @t288 (exists @t13 (forall @t86 (= @t119 (exists @t80 (and @t124 @t124 (= @t25 (tptp.singleton @t56)))))))))) % 35.14/35.34 (assume @p238 (forall @t6 (=> (forall @t202 (=> (and @t57 (exists @t335 (and (= @t334 @t56) @t315 (= @t280 (tptp.singleton @t138)))) @t333 (exists (@list @t275 @t274) (and (= (tptp.ordered_pair @t275 @t274) @t68) @t332 (= @t274 (tptp.singleton @t275))))) @t273)) (exists @t86 (forall @t80 (= @t79 (exists @t78 (and (tptp.in @t68 @t27) @t331 (exists (@list @t269 @t268) (and (= (tptp.ordered_pair @t269 @t268) @t56) (tptp.in @t269 @t1) (= @t268 (tptp.singleton @t269)))))))))))) % 35.14/35.34 (assume @p239 (forall @t15 (=> @t14 (=> (forall @t103 (=> (and @t114 (exists @t78 (and @t338 @t333 (=> (tptp.in @t68 tptp.omega) (forall @t200 (=> (tptp.element @t138 (tptp.powerset (tptp.powerset @t68))) @t337))))) @t132 (exists @t277 (and (tptp.ordinal @t274) (= @t56 @t274) (=> (tptp.in @t274 tptp.omega) (forall @t272 (=> (tptp.element @t269 (tptp.powerset (tptp.powerset @t274))) (not (and (not (= @t269 tptp.empty_set)) (forall @t271 (not (and @t270 (forall @t309 (=> (and (tptp.in @t305 @t269) (tptp.subset @t268 @t305)) (= @t305 @t268)))))))))))))) @t57)) (exists @t13 (forall @t86 (= @t119 (exists @t80 (and (tptp.in @t56 @t118) @t336 (exists @t308 (and (tptp.ordinal @t303) (= @t25 @t303) (=> (tptp.in @t303 tptp.omega) (forall @t306 (=> (tptp.element @t304 (tptp.powerset (tptp.powerset @t303))) (not (and (not (= @t304 tptp.empty_set)) (forall @t302 (not (and (tptp.in @t299 @t304) (forall @t301 (=> (and (tptp.in @t297 @t304) (tptp.subset @t299 @t297)) (= @t297 @t299)))))))))))))))))))))) % 35.14/35.34 (assume @p240 (forall @t6 (=> @t339 (=> (forall @t202 (=> (and @t57 (exists @t200 (and @t140 (= @t56 (tptp.set_difference @t138 @t117)))) @t333 (exists @t282 (and (tptp.in @t280 @t2) (= @t68 (tptp.set_difference @t280 @t117))))) @t273)) (exists @t86 (forall @t80 (= @t79 (exists @t78 (and (tptp.in @t68 @t33) @t331 (exists @t278 (and (tptp.in @t275 @t2) (= @t56 (tptp.set_difference @t275 @t117))))))))))))) % 35.14/35.34 (assume @p241 (forall @t29 (=> @t317 (=> (forall @t330 (=> (and @t273 (exists @t329 (and (= @t68 @t328) (tptp.in (tptp.ordered_pair @t341 (tptp.apply @t25 @t275)) @t2))) @t325 (exists (@list @t274 @t269) (and (= @t138 (tptp.ordered_pair @t274 @t269)) (tptp.in (tptp.ordered_pair (tptp.apply @t25 @t274) (tptp.apply @t25 @t269)) @t2)))) @t322)) (exists @t80 (forall @t78 (= @t95 (exists @t200 (and (tptp.in @t138 @t340) @t320 (exists @t324 (and (= @t68 @t323) (tptp.in (tptp.ordered_pair (tptp.apply @t25 @t268) (tptp.apply @t25 @t305)) @t2)))))))))))) % 35.14/35.34 (assume @p242 (forall @t15 (=> (forall @t103 (=> (and @t114 @t289 @t132 @t296) @t57)) (exists @t13 (forall @t86 (= @t119 (exists @t80 (and @t124 @t336 @t289)))))))) % 35.14/35.34 (assume @p243 (forall @t29 (=> @t344 (=> (forall @t330 (=> (and @t273 @t342 @t325 (tptp.in (tptp.relation_image @t25 @t138) @t2)) @t322)) (exists @t80 (forall @t78 (= @t95 (exists @t200 (and (tptp.in @t138 @t343) @t320 @t342))))))))) % 35.14/35.34 (assume @p244 (forall @t6 (=> @t9 (=> (forall @t202 (=> (and @t57 (exists @t200 (and (tptp.ordinal @t138) @t325 @t315)) @t333 (exists @t282 (and (tptp.ordinal @t280) (= @t68 @t280) @t327))) @t273)) (exists @t86 (forall @t80 (= @t79 (exists @t78 (and (tptp.in @t68 @t345) @t331 (exists @t278 (and (tptp.ordinal @t275) (= @t56 @t275) @t332))))))))))) % 35.14/35.34 (assume @p245 (forall @t6 (=> @t285 (forall @t86 (exists @t80 (forall @t78 (= @t95 (and (tptp.in @t68 @t321) (exists @t335 (and (= @t334 @t68) @t315 (exists @t278 (and (= @t138 @t275) (tptp.in @t280 @t275) (forall @t277 (=> @t276 (tptp.in (tptp.ordered_pair @t280 @t274) @t2))))))))))))))) % 35.14/35.34 (assume @p246 (forall @t6 (exists @t86 (forall @t80 (= @t79 (and (tptp.in @t56 @t27) (exists @t141 (and (= @t139 @t56) @t84 (= @t138 (tptp.singleton @t68)))))))))) % 35.14/35.34 (assume @p247 (forall @t15 (=> @t14 (exists @t13 (forall @t86 (= @t119 (and (tptp.in @t25 @t118) (exists @t80 (and @t296 @t57 @t311))))))))) % 35.14/35.34 (assume @p248 (forall @t6 (=> @t339 (exists @t86 (forall @t80 (= @t79 (and (tptp.in @t56 @t33) (exists @t78 (and @t76 (= @t56 (tptp.set_difference @t68 @t117))))))))))) % 35.14/35.34 (assume @p249 (forall @t29 (=> @t317 (exists @t80 (forall @t78 (= @t95 (and (tptp.in @t68 @t340) (exists @t335 (and (= @t68 @t334) (tptp.in (tptp.ordered_pair @t314 @t341) @t2)))))))))) % 35.14/35.34 (assume @p250 (forall @t15 (exists @t13 (forall @t86 (= @t119 (and @t58 @t289)))))) % 35.14/35.34 (assume @p251 (forall @t29 (=> @t344 (exists @t80 (forall @t78 (= @t95 (and (tptp.in @t68 @t343) @t342))))))) % 35.14/35.34 (assume @p252 (forall @t6 (=> @t9 (exists @t86 (forall @t80 (= @t79 (and (tptp.in @t56 @t345) (exists @t78 (and @t338 @t273 @t84))))))))) % 35.14/35.34 (assume @p253 (forall @t6 (=> @t285 (=> (and (forall @t202 (=> (and @t58 @t283 @t279) @t273)) (forall @t86 (not (and @t58 (forall @t80 (not (exists @t272 (and (= @t25 @t269) @t319 @t318)))))))) (exists @t86 (and @t26 @t170 @t168 (forall @t80 (=> @t124 (exists @t309 (and (= @t56 @t305) (tptp.in @t185 @t305) (forall @t308 (=> @t307 (tptp.in (tptp.ordered_pair @t185 @t303) @t2))))))))))))) % 35.14/35.34 (assume @p254 (forall @t15 (=> (and (forall @t103 (=> (and @t3 @t287 @t286) @t57)) (forall @t13 (not (and @t3 (forall @t86 (not @t287)))))) @t348))) % 35.14/35.34 (assume @p255 (=> (forall @t15 (=> @t14 (=> (forall @t13 (=> @t9 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t86 (=> (tptp.element @t25 (tptp.powerset @t218)) (not (and @t154 (forall @t80 (not (and @t79 (forall @t78 (=> (and (tptp.in @t68 @t25) (tptp.subset @t56 @t68)) @t331))))))))))))) (=> @t349 (forall @t200 (=> (tptp.element @t138 @t204) @t337)))))) (forall @t15 (=> @t14 (=> @t349 (forall @t277 (=> (tptp.element @t274 @t204) (not (and (not (= @t274 tptp.empty_set)) (forall @t272 (not (and @t326 (forall @t271 (=> (and (tptp.in @t268 @t274) (tptp.subset @t269 @t268)) (= @t268 @t269))))))))))))))) % 35.14/35.34 (assume @p256 (forall @t15 @t348)) % 35.14/35.34 (assume @p257 (forall @t6 (=> @t188 (tptp.disjoint @t2 @t1)))) % 35.14/35.34 (assume @p258 (forall @t6 (=> @t171 (tptp.equipotent @t2 @t1)))) % 35.14/35.34 (assume @p259 (forall @t15 (tptp.in @t1 @t118))) % 35.14/35.34 (assume @p260 (forall @t96 (not (and (= @t39 (tptp.unordered_pair @t25 @t56)) (not @t350) (not (= @t1 @t56)))))) % 35.14/35.34 (assume @p261 (forall @t29 (=> @t26 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t25))) (and @t5 (tptp.in @t1 @t166)))))) % 35.14/35.34 (assume @p262 (forall @t6 (=> @t64 (tptp.subset @t351 @t1)))) % 35.14/35.34 (assume @p263 (forall @t6 (=> @t64 (tptp.subset @t85 @t2)))) % 35.14/35.34 (assume @p264 (forall @t6 (=> @t64 (tptp.subset @t351 @t98)))) % 35.14/35.34 (assume @p265 (forall @t29 (=> @t66 (and (tptp.subset @t321 (tptp.cartesian_product2 @t2 @t25)) (tptp.subset (tptp.cartesian_product2 @t25 @t1) (tptp.cartesian_product2 @t25 @t2)))))) % 35.14/35.34 (assume @p266 (forall @t6 (=> @t64 (= @t351 (tptp.set_intersection2 @t98 @t1))))) % 35.14/35.34 (assume @p267 (forall @t96 (=> (and @t66 @t127) (tptp.subset @t321 (tptp.cartesian_product2 @t2 @t56))))) % 35.14/35.34 (assume @p268 (forall @t29 (=> @t109 (and (tptp.subset @t167 @t1) (tptp.subset @t166 @t2))))) % 35.14/35.34 (assume @p269 (forall @t6 (=> @t66 (= @t41 @t2)))) % 35.14/35.34 (assume @p270 (forall @t15 (exists @t13 (and @t5 @t354 (forall @t86 (=> @t119 (tptp.in @t353 @t2))) @t352)))) % 35.14/35.34 (assume @p271 (forall @t6 (=> (and @t66 @t32) @t16))) % 35.14/35.34 (assume @p272 (forall @t29 (=> @t26 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t25) @t2) (tptp.relation_rng_restriction @t1 @t355))))) % 35.14/35.34 (assume @p273 (forall @t29 (=> @t26 (= (tptp.in @t1 (tptp.relation_image @t25 @t2)) (exists @t80 (and (tptp.in @t56 @t167) (tptp.in (tptp.ordered_pair @t56 @t1) @t25) @t71)))))) % 35.14/35.34 (assume @p274 (forall @t6 (=> @t64 (tptp.subset @t356 @t98)))) % 35.14/35.34 (assume @p275 (forall @t6 (=> @t247 (tptp.subset @t358 @t1)))) % 35.14/35.34 (assume @p276 (forall @t6 (=> @t64 (= @t356 (tptp.relation_image @t2 @t359))))) % 35.14/35.34 (assume @p277 (forall @t6 (=> @t64 (=> (tptp.subset @t1 @t97) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t356)))))) % 35.14/35.34 (assume @p278 (forall @t15 (=> @t24 (= (tptp.relation_image @t1 @t77) @t174)))) % 35.14/35.34 (assume @p279 (forall @t6 (=> @t247 (=> @t360 (= @t358 @t1))))) % 35.14/35.34 (assume @p280 (forall @t96 (=> @t363 (=> (tptp.subset @t362 @t2) @t361)))) % 35.14/35.34 (assume @p281 (forall @t15 (=> @t24 (forall @t13 (=> @t64 (= @t364 (tptp.relation_image @t2 @t174))))))) % 35.14/35.34 (assume @p282 (forall @t29 (=> @t26 (= (tptp.in @t1 @t365) (exists @t80 (and (tptp.in @t56 @t166) (tptp.in (tptp.ordered_pair @t1 @t56) @t25) @t71)))))) % 35.14/35.34 (assume @p283 (forall @t6 (=> @t64 (tptp.subset @t357 @t97)))) % 35.14/35.34 (assume @p284 (forall @t96 (=> @t363 (=> @t66 @t361)))) % 35.14/35.34 (assume @p285 (forall @t29 (=> @t26 (= (tptp.in @t1 @t366) (and @t260 (tptp.in @t1 @t181)))))) % 35.14/35.34 (assume @p286 (forall @t6 (=> @t64 (not (and @t125 @t360 (= @t357 tptp.empty_set)))))) % 35.14/35.34 (assume @p287 (forall @t29 (=> @t26 (=> @t66 (tptp.subset (tptp.relation_inverse_image @t25 @t1) @t365))))) % 35.14/35.34 (assume @p288 (forall @t6 (=> @t247 (=> @t16 (tptp.finite @t356))))) % 35.14/35.34 (assume @p289 (forall @t6 (=> @t64 (= @t367 (tptp.relation_dom_restriction @t85 @t1))))) % 35.14/35.34 (assume @p290 (forall @t6 (tptp.subset @t42 @t1))) % 35.14/35.34 (assume @p291 (forall @t15 (=> @t16 (forall @t13 (=> @t205 (not (and @t136 (forall @t86 (not (and @t119 (forall @t80 (=> (and @t71 @t127) @t336)))))))))))) % 35.14/35.34 (assume @p292 (forall @t6 (=> @t64 (= @t367 (tptp.relation_rng_restriction @t1 @t368))))) % 35.14/35.34 (assume @p293 (forall @t29 (=> @t26 (=> (tptp.in @t1 (tptp.relation_field @t366)) (and @t370 @t5))))) % 35.14/35.34 (assume @p294 (forall @t29 (=> (and @t66 @t372) (tptp.subset @t1 @t371)))) % 35.14/35.34 (assume @p295 (forall @t15 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 35.14/35.34 (assume @p296 (forall @t6 (=> @t5 @t373))) % 35.14/35.34 (assume @p297 (forall @t29 (=> (and @t66 @t312) @t372))) % 35.14/35.34 (assume @p298 (= @t313 (tptp.singleton tptp.empty_set))) % 35.14/35.34 (assume @p299 (forall @t29 (=> @t26 (=> @t375 (and @t374 (tptp.in @t2 @t166)))))) % 35.14/35.34 (assume @p300 (forall @t6 (=> @t64 (and (tptp.subset @t376 @t128) (tptp.subset @t376 @t1))))) % 35.14/35.34 (assume @p301 (forall @t6 (=> @t247 (forall @t86 (=> @t187 (= @t379 (and @t374 (tptp.in @t377 @t97)))))))) % 35.14/35.34 (assume @p302 (forall @t96 (=> @t381 (forall @t78 (=> (and (tptp.relation @t68) (tptp.function @t68)) (=> @t58 (or @t107 (= (tptp.apply (tptp.relation_composition @t56 @t68) @t25) (tptp.apply @t68 @t380))))))))) % 35.14/35.34 (assume @p303 (forall @t15 (=> @t22 (forall @t13 (=> @t9 (=> @t8 @t5)))))) % 35.14/35.34 (assume @p304 (forall @t15 (=> @t24 (tptp.subset @t1 (tptp.cartesian_product2 @t77 @t174))))) % 35.14/35.34 (assume @p305 (forall @t29 (=> @t26 (tptp.subset (tptp.fiber (tptp.relation_restriction @t25 @t1) @t2) (tptp.fiber @t25 @t2))))) % 35.14/35.34 (assume @p306 (forall @t6 (=> @t247 (forall @t86 (=> @t187 (=> @t379 (= (tptp.apply @t378 @t1) (tptp.apply @t2 @t377)))))))) % 35.14/35.34 (assume @p307 (forall @t29 (=> (tptp.relation_of2_as_subset @t25 @t2 @t1) (= (forall @t80 (not (and @t71 (forall @t78 (not @t72))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t25) @t2))))) % 35.14/35.34 (assume @p308 (forall @t6 (=> @t64 (=> @t382 (tptp.reflexive @t367))))) % 35.14/35.34 (assume @p309 (forall @t6 (=> @t247 (forall @t86 (=> @t187 (=> (tptp.in @t1 @t97) (= (tptp.apply (tptp.relation_composition @t2 @t25) @t1) (tptp.apply @t25 (tptp.apply @t2 @t1))))))))) % 35.14/35.34 (assume @p310 @t390) % 35.14/35.34 (assume @p311 (forall @t6 (=> @t9 (=> @t5 @t14)))) % 35.14/35.34 (assume @p312 (forall @t29 (=> @t109 (= (forall @t80 (not (and @t71 (forall @t78 (not (tptp.in @t92 @t25)))))) (= @t219 @t2))))) % 35.14/35.34 (assume @p313 (forall @t6 (=> @t64 (=> @t391 (tptp.connected @t367))))) % 35.14/35.34 (assume @p314 (forall @t15 (=> @t14 (forall @t13 (=> @t9 (not (and @t253 @t206 @t4))))))) % 35.14/35.34 (assume @p315 (forall @t6 (=> @t64 (=> @t392 (tptp.transitive @t367))))) % 35.14/35.34 (assume @p316 (forall @t15 (=> @t24 (forall @t13 (=> @t64 (=> @t66 (and (tptp.subset @t77 @t97) (tptp.subset @t174 @t98)))))))) % 35.14/35.34 (assume @p317 (forall @t6 (=> @t64 (=> @t393 (tptp.antisymmetric @t367))))) % 35.14/35.34 (assume @p318 (forall @t6 (=> @t64 (=> @t396 (and @t395 @t394))))) % 35.14/35.34 (assume @p319 (forall @t15 (=> @t83 (=> (tptp.finite @t77) (tptp.finite @t174))))) % 35.14/35.34 (assume @p320 (forall @t15 (exists @t13 (and @t64 @t396)))) % 35.14/35.34 (assume @p321 (forall @t29 (=> @t66 (tptp.subset (tptp.set_intersection2 @t1 @t25) @t371)))) % 35.14/35.34 (assume @p322 (forall @t15 (=> @t135 (not (and (forall @t13 (not (and @t3 @t107))) (forall @t13 (=> @t247 (not (and @t347 (forall @t86 (=> @t58 (tptp.in @t346 @t25)))))))))))) % 35.14/35.34 (assume @p323 (forall @t6 (=> @t66 (= @t42 @t1)))) % 35.14/35.34 (assume @p324 (forall @t15 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 35.14/35.34 (assume @p325 (forall @t6 (=> @t373 (or @t134 @t5)))) % 35.14/35.34 (assume @p326 (forall @t6 (=> (forall @t86 (= @t58 @t119)) @t67))) % 35.14/35.34 (assume @p327 (forall @t15 (tptp.reflexive @t129))) % 35.14/35.34 (assume @p328 (forall @t15 (tptp.subset tptp.empty_set @t1))) % 35.14/35.34 (assume @p329 (forall @t29 (=> @t26 (=> @t375 (and @t370 (tptp.in @t2 @t369)))))) % 35.14/35.34 (assume @p330 (forall @t15 (=> (forall @t13 (=> @t3 (and @t9 @t65))) @t14))) % 35.14/35.34 (assume @p331 (forall @t6 (=> @t64 (=> @t397 (tptp.well_founded_relation @t367))))) % 35.14/35.34 (assume @p332 (forall @t6 (=> @t9 (not (and @t66 @t125 (forall @t86 (=> @t289 (not (and @t58 (forall @t80 (=> @t296 (=> @t124 (tptp.ordinal_subset @t25 @t56))))))))))))) % 35.14/35.34 (assume @p333 (forall @t6 (=> @t64 (=> @t254 @t394)))) % 35.14/35.34 (assume @p334 (forall @t15 (=> @t14 (forall @t13 (=> @t9 (= @t5 (tptp.ordinal_subset @t118 @t2))))))) % 35.14/35.34 (assume @p335 (forall @t29 (=> @t66 (tptp.subset (tptp.set_difference @t1 @t25) @t267)))) % 35.14/35.34 (assume @p336 (forall @t96 (=> (= @t178 @t59) (and @t350 @t132)))) % 35.14/35.34 (assume @p337 (forall @t6 (=> @t247 (= @t63 (and @t347 (forall @t86 (=> @t58 (= @t346 @t25)))))))) % 35.14/35.34 (assume @p338 (forall @t6 (=> @t3 (= (tptp.apply @t62 @t2) @t2)))) % 35.14/35.34 (assume @p339 (forall @t6 (tptp.subset @t172 @t1))) % 35.14/35.34 (assume @p340 (forall @t15 (=> @t24 (and (= @t174 (tptp.relation_dom @t183)) (= @t77 (tptp.relation_rng @t183)))))) % 35.14/35.34 (assume @p341 (forall @t29 (= (tptp.subset @t39 @t25) (and @t260 @t152)))) % 35.14/35.34 (assume @p342 (forall @t6 (=> @t64 (=> (and @t254 (tptp.subset @t1 @t128)) @t395)))) % 35.14/35.34 (assume @p343 (forall @t6 (= @t398 @t41))) % 35.14/35.34 (assume @p344 (forall @t15 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 35.14/35.34 (assume @p345 (forall @t29 (not (and @t5 @t152 @t58)))) % 35.14/35.34 (assume @p346 (forall @t6 (= @t261 @t66))) % 35.14/35.34 (assume @p347 (forall @t15 (tptp.transitive @t129))) % 35.14/35.34 (assume @p348 (forall @t6 (and (not (and @t400 (forall @t86 (not @t399)))) (not (and (exists @t86 @t399) @t188))))) % 35.14/35.34 (assume @p349 (forall @t15 (=> (tptp.subset @t1 tptp.empty_set) @t106))) % 35.14/35.34 (assume @p350 (forall @t6 (= (tptp.set_difference @t41 @t2) @t172))) % 35.14/35.34 (assume @p351 (forall @t15 (=> @t14 (= @t176 (forall @t13 (=> @t9 (=> @t3 (tptp.in @t345 @t1)))))))) % 35.14/35.34 (assume @p352 (forall @t15 (=> @t14 (and (not (and (not @t176) (forall @t13 (=> @t9 (not @t401))))) (not (and (exists @t13 (and @t9 @t401)) @t176)))))) % 35.14/35.34 (assume @p353 (forall @t6 (=> @t34 (forall @t86 (=> @t224 (= @t403 (tptp.subset @t2 @t402))))))) % 35.14/35.34 (assume @p354 (forall @t15 (=> @t24 (forall @t13 (=> @t64 (tptp.subset @t404 @t77)))))) % 35.14/35.34 (assume @p355 (forall @t15 (=> @t24 (forall @t13 (=> @t64 (tptp.subset @t364 @t98)))))) % 35.14/35.34 (assume @p356 (forall @t6 (=> @t66 (= @t2 @t398)))) % 35.14/35.34 (assume @p357 (forall @t96 (=> @t381 (=> @t136 (forall @t78 (= (tptp.in @t68 (tptp.relation_inverse_image @t56 @t25)) (and @t84 (tptp.in (tptp.apply @t56 @t68) @t25)))))))) % 35.14/35.34 (assume @p358 (forall @t15 (=> @t24 (forall @t13 (=> @t64 (=> (tptp.subset @t174 @t97) (= @t404 @t77))))))) % 35.14/35.34 (assume @p359 (forall @t6 (=> @t205 (not (and @t136 (= @t203 tptp.empty_set)))))) % 35.14/35.34 (assume @p360 (forall @t15 (=> @t24 (forall @t13 (=> @t64 (=> (tptp.subset @t77 @t98) (= (tptp.relation_rng @t233) @t174))))))) % 35.14/35.34 (assume @p361 (forall @t6 (=> @t205 (=> @t136 (= (tptp.subset_difference @t1 @t162 @t220) (tptp.meet_of_subsets @t1 @t203)))))) % 35.14/35.34 (assume @p362 (forall @t6 (=> @t205 (=> @t136 (= (tptp.union_of_subsets @t1 @t203) (tptp.subset_difference @t1 @t162 @t222)))))) % 35.14/35.34 (assume @p363 (forall @t6 (= (tptp.set_difference @t1 @t172) @t42))) % 35.14/35.34 (assume @p364 (forall @t15 (=> @t24 (forall @t13 (=> @t64 (forall @t86 (=> @t187 (=> @t186 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t25)))))))))) % 35.14/35.34 (assume @p365 (forall @t15 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 35.14/35.34 (assume @p366 (forall @t29 (=> (and @t5 @t405) (tptp.element @t1 @t25)))) % 35.14/35.34 (assume @p367 (forall @t15 (=> @t14 (tptp.connected @t129)))) % 35.14/35.34 (assume @p368 (forall @t6 (and (not (and @t400 (forall @t86 (not @t406)))) (not (and (exists @t86 @t406) @t188))))) % 35.14/35.34 (assume @p369 (forall @t15 (=> @t125 (forall @t13 (=> @t34 (forall @t86 (=> (tptp.element @t25 @t1) (=> @t150 (tptp.in @t25 @t177))))))))) % 35.14/35.34 (assume @p370 (forall @t15 (=> @t24 (forall @t13 (=> @t64 (forall @t86 (=> @t187 (=> @t186 (and (=> @t164 @t382) (=> @t94 @t392) (=> @t93 @t391) (=> @t88 @t393) (=> @t137 @t397)))))))))) % 35.14/35.34 (assume @p371 (forall @t15 (=> @t83 (=> @t35 (forall @t13 (=> @t247 (= (= @t2 @t207) (and (= @t97 @t174) (forall @t61 (and (=> @t407 @t173) (=> @t173 @t407))))))))))) % 35.14/35.34 (assume @p372 (forall @t29 (=> @t224 (not (and (tptp.in @t2 @t402) @t152))))) % 35.14/35.34 (assume @p373 (forall @t15 (=> @t24 (forall @t13 (=> @t64 (forall @t86 (=> @t187 (=> (and @t165 @t186) @t254)))))))) % 35.14/35.34 (assume @p374 (forall @t15 (=> @t83 (=> @t35 (and (= @t174 (tptp.relation_dom @t207)) (= @t77 (tptp.relation_rng @t207))))))) % 35.14/35.34 (assume @p375 (forall @t15 (=> @t24 (=> (forall @t75 @t257) @t106)))) % 35.14/35.34 (assume @p376 (forall @t6 (=> @t247 (=> (and @t264 (tptp.in @t1 @t98)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t408 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t408 @t2) @t1))))))) % 35.14/35.34 (assume @p377 (forall @t29 (not (and @t5 @t405 (tptp.empty @t25))))) % 35.14/35.34 (assume @p378 (forall @t15 (=> @t24 (= @t137 (tptp.is_well_founded_in @t1 @t87))))) % 35.14/35.34 (assume @p379 (forall @t15 (tptp.antisymmetric @t129))) % 35.14/35.34 (assume @p380 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 35.14/35.34 (assume @p381 (forall @t6 (not (and @t66 @t7)))) % 35.14/35.34 (assume @p382 (forall @t15 (=> @t83 (=> @t35 (tptp.one_to_one @t207))))) % 35.14/35.34 (assume @p383 (forall @t29 (=> (and @t66 @t403) (tptp.disjoint @t1 @t25)))) % 35.14/35.34 (assume @p384 (forall @t15 (=> @t24 (=> (or @t410 @t409) @t106)))) % 35.14/35.34 (assume @p385 (forall @t15 (=> @t24 (= @t410 @t409)))) % 35.14/35.34 (assume @p386 (forall @t6 (= (= (tptp.set_difference @t1 @t258) @t1) @t4))) % 35.14/35.34 (assume @p387 (forall @t6 (=> @t247 (forall @t86 (=> @t187 (= (= @t2 @t262) (and (= @t97 (tptp.set_intersection2 @t167 @t1)) (forall @t80 (=> (tptp.in @t56 @t97) (= (tptp.apply @t2 @t56) @t185)))))))))) % 35.14/35.34 (assume @p388 (forall @t15 (= (tptp.unordered_pair @t1 @t1) @t117))) % 35.14/35.34 (assume @p389 (forall @t15 (=> @t17 @t106))) % 35.14/35.34 (assume @p390 (forall @t96 (=> @t381 (=> @t58 (or @t107 (tptp.in @t380 @t362)))))) % 35.14/35.34 (assume @p391 (forall @t15 (=> @t14 (tptp.well_founded_relation @t129)))) % 35.14/35.34 (assume @p392 (forall @t6 (=> (tptp.subset @t117 @t258) @t67))) % 35.14/35.34 (assume @p393 (forall @t29 (=> @t187 (=> @t263 @t411)))) % 35.14/35.34 (assume @p394 (forall @t15 (and (= (tptp.relation_dom @t62) @t1) (= (tptp.relation_rng @t62) @t1)))) % 35.14/35.34 (assume @p395 (forall @t29 (=> @t187 (=> @t3 @t411)))) % 35.14/35.34 (assume @p396 (forall @t96 (=> @t316 (= (tptp.in @t178 (tptp.relation_composition (tptp.identity_relation @t25) @t56)) (and @t260 (tptp.in @t178 @t56)))))) % 35.14/35.34 (assume @p397 (forall @t6 (not (and @t5 @t134)))) % 35.14/35.34 (assume @p398 (forall @t6 (and (= (tptp.pair_first @t178) @t1) (= (tptp.pair_second @t178) @t2)))) % 35.14/35.34 (assume @p399 (forall @t6 (not (and @t5 (forall @t86 (not (and @t119 (forall @t80 (not (and @t71 @t79)))))))))) % 35.14/35.34 (assume @p400 (forall @t15 (=> @t14 (tptp.well_ordering @t129)))) % 35.14/35.34 (assume @p401 (forall @t6 (tptp.subset @t1 @t41))) % 35.14/35.34 (assume @p402 (forall @t6 (= @t188 (= @t172 @t1)))) % 35.14/35.34 (assume @p403 (forall @t29 (=> @t26 (= (tptp.in @t1 (tptp.relation_dom @t355)) (and @t5 @t374))))) % 35.14/35.34 (assume @p404 (forall @t6 (=> @t64 (tptp.subset @t368 @t2)))) % 35.14/35.34 (assume @p405 (forall @t6 (not (and @t17 @t206 @t134)))) % 35.14/35.34 (assume @p406 (forall @t29 (=> @t187 (= @t375 (and @t374 (= @t2 @t377)))))) % 35.14/35.34 (assume @p407 (forall @t15 (=> @t24 (= (tptp.well_orders @t1 @t87) @t165)))) % 35.14/35.34 (assume @p408 (forall @t29 (=> (and @t66 @t155) (tptp.subset (tptp.set_union2 @t1 @t25) @t2)))) % 35.14/35.34 (assume @p409 (forall @t29 (=> @t412 @t67))) % 35.14/35.34 (assume @p410 (forall @t6 (=> @t64 (= (tptp.relation_dom @t368) @t359)))) % 35.14/35.34 (assume @p411 (forall @t6 (=> @t64 (= @t368 (tptp.relation_composition @t62 @t2))))) % 35.14/35.34 (assume @p412 (forall @t6 (=> @t64 (tptp.subset (tptp.relation_rng @t368) @t98)))) % 35.14/35.34 (assume @p413 (forall @t15 (= (tptp.union @t33) @t1))) % 35.14/35.34 (assume @p414 (forall @t96 (=> @t381 (=> @t312 (or (and @t107 @t125) (and @t209 (tptp.quasi_total @t56 @t1 @t25) (tptp.relation_of2_as_subset @t56 @t1 @t25))))))) % 35.14/35.34 (assume @p415 (forall @t15 (exists @t13 (and @t5 @t354 (forall @t86 (not (and @t119 (forall @t80 (not (and @t71 (forall @t78 (=> (tptp.subset @t68 @t25) @t95)))))))) @t352)))) % 35.14/35.34 (assume @p416 (forall @t29 (=> @t412 @t114))) % 35.14/35.34 (step @p417 :rule aci_norm :args ((= (or @t417 @t44) (or @t50 @t416 @t415 @t414 @t413 @t44)))) % 35.14/35.34 (step @p418 :rule refl :args (@t44)) % 35.14/35.34 (step @p419 :rule refl :args (@t413)) % 35.14/35.34 (step @p420 :rule refl :args (@t414)) % 35.14/35.34 (step @p421 :rule refl :args (@t415)) % 35.14/35.34 (step @p422 :rule refl :args (@t416)) % 35.14/35.34 (step @p423 :rule bool-double-not-elim :args (@t50)) % 35.14/35.34 (step @p424 :rule nary_cong :premises (@p423 @p422 @p421 @p420 @p419) :args (@t419)) % 35.14/35.34 (step @p425 :rule aci_norm :args ((= (or @t418 (or @t416 (or @t415 (or @t414 @t413)))) @t419))) % 35.14/35.34 (step @p426 :rule trans :premises (@p425 @p424)) % 35.14/35.34 (step @p427 :rule bool-and-de-morgan :args (@t47 @t46 true)) % 35.14/35.34 (step @p428 :rule nary_cong :premises (@p421 @p427) :args ((or @t415 (not (and @t47 @t46))))) % 35.14/35.34 (step @p429 :rule bool-and-de-morgan :args (@t48 @t47 (and @t46))) % 35.14/35.34 (step @p430 :rule trans :premises (@p429 @p428)) % 35.14/35.34 (step @p431 :rule nary_cong :premises (@p422 @p430) :args ((or @t416 (not (and @t48 @t47 @t46))))) % 35.14/35.34 (step @p432 :rule bool-and-de-morgan :args (@t49 @t48 (and @t47 @t46))) % 35.14/35.34 (step @p433 :rule trans :premises (@p432 @p431)) % 35.14/35.34 (step @p434 :rule refl :args (@t418)) % 35.14/35.34 (step @p435 :rule nary_cong :premises (@p434 @p433) :args ((or @t418 (not (and @t49 @t48 @t47 @t46))))) % 35.14/35.34 (step @p436 :rule bool-and-de-morgan :args (@t51 @t49 (and @t48 @t47 @t46))) % 35.14/35.34 (step @p437 :rule trans :premises (@p436 @p435)) % 35.14/35.34 (step @p438 :rule trans :premises (@p437 @p426)) % 35.14/35.34 (step @p439 :rule nary_cong :premises (@p438 @p418) :args ((or @t420 @t44))) % 35.14/35.34 (step @p440 :rule trans :premises (@p439 @p417)) % 35.14/35.34 (step @p441 :rule bool-impl-elim :args (@t52 @t44)) % 35.14/35.34 (step @p442 :rule trans :premises (@p441 @p440)) % 35.14/35.34 (step @p443 :rule cong :premises (@p442) :args (@t53)) % 35.14/35.34 (step @p444 :rule eq_resolve :premises (@p20 @p443)) % 35.14/35.34 (step @p445 :rule instantiate :premises (@p444) :args (@t434)) % 35.14/35.34 (step @p446 :rule bool-impl-elim :args (@t196 @t229)) % 35.14/35.34 (step @p447 :rule cong :premises (@p446) :args (@t230)) % 35.14/35.34 (step @p448 :rule eq_resolve :premises (@p117 @p447)) % 35.14/35.34 (step @p449 :rule instantiate :premises (@p448) :args (@t435)) % 35.14/35.34 (step @p450 :rule aci_norm :args ((= @t437 @t428))) % 35.14/35.34 (step @p451 :rule cong :premises (@p450) :args (@t438)) % 35.14/35.34 (step @p452 :rule quant-merge-prenex :args ((= (forall @t15 @t440) @t438))) % 35.14/35.34 (step @p453 :rule alpha_equiv :args (@t441 (@list @t421 @t422) (@list @t2 @t442))) % 35.14/35.34 (step @p454 :rule refl :args (@t426)) % 35.14/35.34 (step @p455 :rule refl :args (@t427)) % 35.14/35.34 (step @p456 :rule refl :args (@t50)) % 35.14/35.34 (step @p457 :rule nary_cong :premises (@p456 @p422 @p455 @p454 @p453) :args (@t443)) % 35.14/35.34 (step @p458 :rule quant-miniscope-or :args ((= @t440 @t443))) % 35.14/35.34 (step @p459 :rule trans :premises (@p458 @p457)) % 35.14/35.34 (step @p460 :rule symm :premises (@p459)) % 35.14/35.34 (step @p461 :rule cong :premises (@p460) :args ((forall @t15 @t449))) % 35.14/35.34 (step @p462 :rule trans :premises (@p461 @p452)) % 35.14/35.34 (step @p463 :rule trans :premises (@p462 @p451)) % 35.14/35.34 (step @p464 :rule aci_norm :args ((= (or (or @t50 @t416 @t427 @t426) @t448) @t449))) % 35.14/35.34 (step @p465 :rule refl :args (@t448)) % 35.14/35.34 (step @p466 :rule nary_cong :premises (@p423 @p422 @p455 @p454) :args (@t450)) % 35.14/35.34 (step @p467 :rule aci_norm :args ((= (or @t418 (or @t416 (or @t427 @t426))) @t450))) % 35.14/35.34 (step @p468 :rule trans :premises (@p467 @p466)) % 35.14/35.34 (step @p469 :rule bool-and-de-morgan :args (@t194 @t196 true)) % 35.14/35.34 (step @p470 :rule nary_cong :premises (@p422 @p469) :args ((or @t416 (not (and @t194 @t196))))) % 35.14/35.34 (step @p471 :rule bool-and-de-morgan :args (@t49 @t194 (and @t196))) % 35.14/35.34 (step @p472 :rule trans :premises (@p471 @p470)) % 35.14/35.34 (step @p473 :rule nary_cong :premises (@p434 @p472) :args ((or @t418 (not (and @t49 @t194 @t196))))) % 35.14/35.34 (step @p474 :rule bool-and-de-morgan :args (@t51 @t49 (and @t194 @t196))) % 35.14/35.34 (step @p475 :rule trans :premises (@p474 @p473)) % 35.14/35.34 (step @p476 :rule trans :premises (@p475 @p468)) % 35.14/35.34 (step @p477 :rule nary_cong :premises (@p476 @p465) :args ((or (not @t387) @t448))) % 35.14/35.34 (step @p478 :rule trans :premises (@p477 @p464)) % 35.14/35.34 (step @p479 :rule bool-impl-elim :args (@t387 @t448)) % 35.14/35.34 (step @p480 :rule trans :premises (@p479 @p478)) % 35.14/35.34 (step @p481 :rule cong :premises (@p480) :args ((forall @t15 (=> @t387 @t448)))) % 35.14/35.34 (step @p482 :rule trans :premises (@p481 @p463)) % 35.14/35.34 (step @p483 :rule aci_norm :args ((= @t452 @t446))) % 35.14/35.34 (step @p484 :rule cong :premises (@p483) :args (@t453)) % 35.14/35.34 (step @p485 :rule quant-merge-prenex :args ((= (forall 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(step @p679 :rule chain_m_resolution :premises (@p678 @p542 @p516 @p676) :args (@t546 (@list true false false) (@list @t473 @t460 @t547))) % 35.14/35.34 (step @p680 :rule bool-double-not-elim :args (@t469)) % 35.14/35.34 (step @p681 :rule nary_cong :premises (@p511 @p680) :args ((or @t474 (not @t470)))) % 35.14/35.34 (step @p682 :rule cnf_or_neg :args (@t474 2)) % 35.14/35.34 (step @p683 :rule eq_resolve :premises (@p682 @p681)) % 35.14/35.34 (step @p684 :rule reordering :premises (@p683) :args ((or @t469 @t474))) % 35.14/35.34 (step @p685 :rule chain_m_resolution :premises (@p684 @p509) :args (@t469 @t475 @t476)) % 35.14/35.34 (step @p686 :rule cnf_equiv_pos1 :args (@t546)) % 35.14/35.34 (step @p687 :rule reordering :premises (@p686) :args ((or @t470 @t545 (not @t546)))) % 35.14/35.34 (step @p688 :rule chain_m_resolution :premises (@p687 @p685 @p679) :args (@t545 @t481 (@list @t469 @t546))) % 35.14/35.34 (step @p689 :rule instantiate :premises (@p688) :args ((@list @t431 @t432))) % 35.14/35.34 (step @p690 :rule cnf_or_pos :args (@t550)) % 35.14/35.34 (step @p691 :rule reordering :premises (@p690) :args ((or @t467 @t465 @t549 (not @t550)))) % 35.14/35.34 (step @p692 :rule chain_m_resolution :premises (@p691 @p534 @p528 @p689) :args (@t549 (@list false false false) (@list @t466 @t464 @t550))) % 35.14/35.34 (step @p693 :rule refl :args (@t551)) % 35.14/35.34 (step @p694 :rule refl :args (@t552)) % 35.14/35.34 (step @p695 :rule bool-double-not-elim :args (@t521)) % 35.14/35.34 (step @p696 :rule refl :args (@t553)) % 35.14/35.34 (step @p697 :rule nary_cong :premises (@p696 @p695 @p694 @p693) :args ((or @t553 (not @t526) @t552 @t551))) % 35.14/35.34 (assume-push @p721 @t486) % 35.14/35.34 (assume-push @p722 @t526) % 35.14/35.34 (assume-push @p723 @t528) % 35.14/35.34 (step @p701 :rule false_intro :premises (@p623)) % 35.14/35.34 (step @p702 :rule refl :args (@t432)) % 35.14/35.34 (step @p703 :rule symm :premises (@p545)) % 35.14/35.34 (step @p704 :rule symm :premises (@p635)) % 35.14/35.34 (step @p705 :rule trans :premises (@p704 @p703)) % 35.14/35.34 (step @p706 :rule refl :args (@t433)) % 35.14/35.34 (step @p707 :rule cong :premises (@p706 @p705 @p702) :args (@t548)) % 35.14/35.34 (step @p708 :rule cong :premises (@p702 @p707) :args (@t549)) % 35.14/35.34 (step @p709 :rule trans :premises (@p708 @p701)) % 35.14/35.34 (step @p710 :rule false_elim :premises (@p709)) % 35.14/35.34 (step-pop @p724 :rule scope :premises (@p710)) % 35.14/35.34 (step-pop @p725 :rule scope :premises (@p724)) % 35.14/35.34 (step-pop @p726 :rule scope :premises (@p725)) % 35.14/35.34 (step @p711 :rule process_scope :premises (@p726) :args (@t551)) % 35.14/35.34 (step @p715 :rule implies_elim :premises (@p711)) % 35.14/35.34 (step @p716 :rule cnf_and_neg :args (@t554)) % 35.14/35.34 (step @p717 :rule resolution :premises (@p716 @p715) :args (true @t554)) % 35.14/35.34 (step @p718 :rule eq_resolve :premises (@p717 @p697)) % 35.14/35.34 (step @p719 :rule reordering :premises (@p718) :args ((or @t521 @t553 @t552 @t551))) % 35.14/35.34 (step @p720 false :rule chain_m_resolution :premises (@p719 @p692 @p635 @p623 @p545) :args (false (@list false false true false) (@list @t549 @t528 @t521 @t486))) % 35.14/35.34 ) % 35.14/35.34 % SZS output end Proof % 35.14/35.34 % cvc5 exiting %------------------------------------------------------------------------------