%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU305+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 34.18s 34.95s % Output : Proof 34.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU305+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:54:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.38/0.59 %----Proving TF0_NAR, FOF, or CNF % 34.18/34.95 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.18/34.95 --- Run --no-e-matching --full-saturate-quant at 6... % 34.18/34.95 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.18/34.95 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.18/34.95 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.18/34.95 % SZS status Theorem % 34.18/34.95 % SZS output start Proof % 34.18/34.95 ( % 34.18/34.95 (declare-sort $$unsorted 0) % 34.18/34.95 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.relation (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.transitive (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.omega $$unsorted) % 34.18/34.95 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.connected (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.finite (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.function (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.empty (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.empty_set $$unsorted) % 34.18/34.95 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.natural (-> $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.18/34.95 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 34.18/34.95 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.18/34.95 (define @t1 () (@var "A" $$unsorted)) % 34.18/34.95 (define @t2 () (@var "B" $$unsorted)) % 34.18/34.95 (define @t3 () (tptp.in @t2 @t1)) % 34.18/34.95 (define @t4 () (not @t3)) % 34.18/34.95 (define @t5 () (tptp.in @t1 @t2)) % 34.18/34.95 (define @t6 () (@list @t1 @t2)) % 34.18/34.95 (define @t7 () (tptp.proper_subset @t2 @t1)) % 34.18/34.95 (define @t8 () (tptp.proper_subset @t1 @t2)) % 34.18/34.95 (define @t9 () (tptp.ordinal @t2)) % 34.18/34.95 (define @t10 () (tptp.epsilon_connected @t2)) % 34.18/34.95 (define @t11 () (tptp.epsilon_transitive @t2)) % 34.18/34.95 (define @t12 () (tptp.element @t2 @t1)) % 34.18/34.95 (define @t13 () (@list @t2)) % 34.18/34.95 (define @t14 () (tptp.ordinal @t1)) % 34.18/34.95 (define @t15 () (@list @t1)) % 34.18/34.95 (define @t16 () (tptp.finite @t1)) % 34.18/34.95 (define @t17 () (tptp.empty @t1)) % 34.18/34.95 (define @t18 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 34.18/34.95 (define @t19 () (tptp.preboolean @t1)) % 34.18/34.95 (define @t20 () (tptp.function @t1)) % 34.18/34.95 (define @t21 () (tptp.epsilon_connected @t1)) % 34.18/34.95 (define @t22 () (tptp.epsilon_transitive @t1)) % 34.18/34.95 (define @t23 () (and @t22 @t21)) % 34.18/34.95 (define @t24 () (tptp.relation @t1)) % 34.18/34.95 (define @t25 () (@var "C" $$unsorted)) % 34.18/34.95 (define @t26 () (tptp.relation @t25)) % 34.18/34.95 (define @t27 () (tptp.cartesian_product2 @t1 @t2)) % 34.18/34.95 (define @t28 () (tptp.element @t25 (tptp.powerset @t27))) % 34.18/34.95 (define @t29 () (@list @t1 @t2 @t25)) % 34.18/34.95 (define @t30 () (tptp.natural @t1)) % 34.18/34.95 (define @t31 () (and @t22 @t21 @t14 @t30)) % 34.18/34.95 (define @t32 () (tptp.finite @t2)) % 34.18/34.95 (define @t33 () (tptp.powerset @t1)) % 34.18/34.95 (define @t34 () (tptp.element @t2 @t33)) % 34.18/34.95 (define @t35 () (tptp.one_to_one @t1)) % 34.18/34.95 (define @t36 () (and @t24 @t20 @t35)) % 34.18/34.95 (define @t37 () (and @t24 @t17 @t20)) % 34.18/34.95 (define @t38 () (and @t22 @t21 @t14)) % 34.18/34.95 (define @t39 () (tptp.unordered_pair @t1 @t2)) % 34.18/34.95 (define @t40 () (tptp.set_union2 @t2 @t1)) % 34.18/34.95 (define @t41 () (tptp.set_union2 @t1 @t2)) % 34.18/34.95 (define @t42 () (tptp.join_commut @t1 @t2 @t25)) % 34.18/34.95 (define @t43 () (= @t42 (tptp.join_commut @t1 @t25 @t2))) % 34.18/34.95 (define @t44 () (tptp.the_carrier @t1)) % 34.18/34.95 (define @t45 () (tptp.element @t25 @t44)) % 34.18/34.95 (define @t46 () (tptp.element @t2 @t44)) % 34.18/34.95 (define @t47 () (tptp.join_semilatt_str @t1)) % 34.18/34.95 (define @t48 () (tptp.join_commutative @t1)) % 34.18/34.95 (define @t49 () (tptp.empty_carrier @t1)) % 34.18/34.95 (define @t50 () (not @t49)) % 34.18/34.95 (define @t51 () (and @t50 @t48 @t47 @t46 @t45)) % 34.18/34.95 (define @t52 () (forall @t29 (=> @t51 @t43))) % 34.18/34.95 (define @t53 () (tptp.set_intersection2 @t1 @t2)) % 34.18/34.95 (define @t54 () (tptp.meet_commut @t1 @t2 @t25)) % 34.18/34.95 (define @t55 () (tptp.meet_semilatt_str @t1)) % 34.18/34.95 (define @t56 () (tptp.meet_commutative @t1)) % 34.18/34.95 (define @t57 () (and @t50 @t56 @t55 @t46 @t45)) % 34.18/34.95 (define @t58 () (tptp.ordinal_subset @t1 @t2)) % 34.18/34.95 (define @t59 () (and @t14 @t9)) % 34.18/34.95 (define @t60 () (@var "D" $$unsorted)) % 34.18/34.95 (define @t61 () (= @t25 @t60)) % 34.18/34.95 (define @t62 () (tptp.in @t25 @t1)) % 34.18/34.95 (define @t63 () (tptp.ordered_pair @t25 @t60)) % 34.18/34.95 (define @t64 () (tptp.in @t63 @t2)) % 34.18/34.95 (define @t65 () (@list @t25 @t60)) % 34.18/34.95 (define @t66 () (tptp.identity_relation @t1)) % 34.18/34.95 (define @t67 () (= @t2 @t66)) % 34.18/34.95 (define @t68 () (tptp.relation @t2)) % 34.18/34.95 (define @t69 () (tptp.subset @t2 @t1)) % 34.18/34.95 (define @t70 () (tptp.subset @t1 @t2)) % 34.18/34.95 (define @t71 () (= @t1 @t2)) % 34.18/34.95 (define @t72 () (@var "E" $$unsorted)) % 34.18/34.95 (define @t73 () (tptp.ordered_pair @t60 @t72)) % 34.18/34.95 (define @t74 () (tptp.in @t73 @t1)) % 34.18/34.95 (define @t75 () (tptp.in @t60 @t2)) % 34.18/34.95 (define @t76 () (tptp.in @t73 @t25)) % 34.18/34.95 (define @t77 () (@list @t60 @t72)) % 34.18/34.95 (define @t78 () (tptp.relation_dom_restriction @t1 @t2)) % 34.18/34.95 (define @t79 () (@list @t2 @t25)) % 34.18/34.95 (define @t80 () (tptp.in @t72 @t2)) % 34.18/34.95 (define @t81 () (tptp.relation_dom @t1)) % 34.18/34.95 (define @t82 () (@list @t72)) % 34.18/34.95 (define @t83 () (tptp.in @t60 @t25)) % 34.18/34.95 (define @t84 () (@list @t60)) % 34.18/34.95 (define @t85 () (tptp.relation_image @t1 @t2)) % 34.18/34.95 (define @t86 () (= @t25 @t85)) % 34.18/34.95 (define @t87 () (and @t24 @t20)) % 34.18/34.95 (define @t88 () (tptp.in @t72 @t1)) % 34.18/34.95 (define @t89 () (tptp.relation_rng_restriction @t1 @t2)) % 34.18/34.95 (define @t90 () (@list @t25)) % 34.18/34.95 (define @t91 () (tptp.relation_field @t1)) % 34.18/34.95 (define @t92 () (tptp.antisymmetric @t1)) % 34.18/34.95 (define @t93 () (tptp.apply @t1 @t60)) % 34.18/34.95 (define @t94 () (tptp.in @t60 @t81)) % 34.18/34.95 (define @t95 () (= @t25 (tptp.relation_inverse_image @t1 @t2))) % 34.18/34.95 (define @t96 () (tptp.ordered_pair @t72 @t60)) % 34.18/34.95 (define @t97 () (tptp.connected @t1)) % 34.18/34.95 (define @t98 () (tptp.transitive @t1)) % 34.18/34.95 (define @t99 () (tptp.in @t72 @t60)) % 34.18/34.95 (define @t100 () (@list @t1 @t2 @t25 @t60)) % 34.18/34.95 (define @t101 () (tptp.relation_dom @t2)) % 34.18/34.95 (define @t102 () (tptp.relation_rng @t2)) % 34.18/34.95 (define @t103 () (tptp.function @t2)) % 34.18/34.95 (define @t104 () (tptp.in (tptp.ordered_pair @t2 @t60) @t1)) % 34.18/34.95 (define @t105 () (tptp.ordered_pair @t2 @t25)) % 34.18/34.95 (define @t106 () (tptp.in @t105 @t1)) % 34.18/34.95 (define @t107 () (@list @t2 @t25 @t60)) % 34.18/34.95 (define @t108 () (= @t25 tptp.empty_set)) % 34.18/34.95 (define @t109 () (tptp.quasi_total @t25 @t1 @t2)) % 34.18/34.95 (define @t110 () (= @t1 tptp.empty_set)) % 34.18/34.95 (define @t111 () (= @t2 tptp.empty_set)) % 34.18/34.95 (define @t112 () (tptp.relation_dom_as_subset @t1 @t2 @t25)) % 34.18/34.95 (define @t113 () (tptp.relation_of2_as_subset @t25 @t1 @t2)) % 34.18/34.95 (define @t114 () (tptp.the_L_join @t1)) % 34.18/34.95 (define @t115 () (tptp.join @t1 @t2 @t25)) % 34.18/34.95 (define @t116 () (and @t50 @t47)) % 34.18/34.95 (define @t117 () (= @t2 @t25)) % 34.18/34.95 (define @t118 () (= @t1 @t63)) % 34.18/34.95 (define @t119 () (exists @t79 (= @t1 @t105))) % 34.18/34.95 (define @t120 () (tptp.singleton @t1)) % 34.18/34.95 (define @t121 () (tptp.succ @t1)) % 34.18/34.95 (define @t122 () (tptp.in @t25 @t2)) % 34.18/34.95 (define @t123 () (tptp.is_reflexive_in @t1 @t2)) % 34.18/34.95 (define @t124 () (tptp.relation_of2 @t25 @t1 @t2)) % 34.18/34.95 (define @t125 () (= @t2 (tptp.set_meet @t1))) % 34.18/34.95 (define @t126 () (tptp.in @t25 @t60)) % 34.18/34.95 (define @t127 () (tptp.in @t60 @t1)) % 34.18/34.95 (define @t128 () (not @t110)) % 34.18/34.95 (define @t129 () (= @t60 @t2)) % 34.18/34.95 (define @t130 () (tptp.subset @t25 @t60)) % 34.18/34.95 (define @t131 () (tptp.relation_field @t2)) % 34.18/34.95 (define @t132 () (tptp.inclusion_relation @t1)) % 34.18/34.95 (define @t133 () (tptp.the_L_meet @t1)) % 34.18/34.95 (define @t134 () (tptp.meet @t1 @t2 @t25)) % 34.18/34.95 (define @t135 () (= @t2 @t60)) % 34.18/34.95 (define @t136 () (tptp.in @t63 @t1)) % 34.18/34.95 (define @t137 () (tptp.empty @t2)) % 34.18/34.95 (define @t138 () (not @t17)) % 34.18/34.95 (define @t139 () (not @t111)) % 34.18/34.95 (define @t140 () (tptp.well_founded_relation @t1)) % 34.18/34.95 (define @t141 () (@var "F" $$unsorted)) % 34.18/34.95 (define @t142 () (tptp.ordered_pair @t72 @t141)) % 34.18/34.95 (define @t143 () (tptp.in @t141 @t2)) % 34.18/34.95 (define @t144 () (@list @t72 @t141)) % 34.18/34.95 (define @t145 () (tptp.below @t1 @t2 @t25)) % 34.18/34.95 (define @t146 () (= @t145 (= @t115 @t25))) % 34.18/34.95 (define @t147 () (=> @t45 @t146)) % 34.18/34.95 (define @t148 () (forall @t90 @t147)) % 34.18/34.95 (define @t149 () (=> @t46 @t148)) % 34.18/34.95 (define @t150 () (forall @t13 @t149)) % 34.18/34.95 (define @t151 () (=> @t116 @t150)) % 34.18/34.95 (define @t152 () (forall @t15 @t151)) % 34.18/34.95 (define @t153 () (not @t122)) % 34.18/34.95 (define @t154 () (not @t117)) % 34.18/34.95 (define @t155 () (tptp.in @t2 @t25)) % 34.18/34.95 (define @t156 () (forall @t90 (=> @t62 @t122))) % 34.18/34.95 (define @t157 () (not @t108)) % 34.18/34.95 (define @t158 () (tptp.subset @t25 @t2)) % 34.18/34.95 (define @t159 () (tptp.is_well_founded_in @t1 @t2)) % 34.18/34.95 (define @t160 () (tptp.apply @t1 @t2)) % 34.18/34.95 (define @t161 () (= @t25 @t160)) % 34.18/34.95 (define @t162 () (tptp.in @t2 @t81)) % 34.18/34.95 (define @t163 () (tptp.in (tptp.ordered_pair @t60 @t25) @t1)) % 34.18/34.95 (define @t164 () (tptp.is_antisymmetric_in @t1 @t2)) % 34.18/34.95 (define @t165 () (tptp.cast_to_subset @t1)) % 34.18/34.95 (define @t166 () (tptp.union @t1)) % 34.18/34.95 (define @t167 () (tptp.reflexive @t1)) % 34.18/34.95 (define @t168 () (tptp.well_ordering @t1)) % 34.18/34.95 (define @t169 () (tptp.relation_rng @t25)) % 34.18/34.95 (define @t170 () (tptp.relation_dom @t25)) % 34.18/34.95 (define @t171 () (= @t170 @t1)) % 34.18/34.95 (define @t172 () (tptp.one_to_one @t25)) % 34.18/34.95 (define @t173 () (tptp.function @t25)) % 34.18/34.95 (define @t174 () (tptp.equipotent @t1 @t2)) % 34.18/34.95 (define @t175 () (tptp.set_difference @t1 @t2)) % 34.18/34.95 (define @t176 () (and @t94 (= @t25 @t93))) % 34.18/34.95 (define @t177 () (tptp.relation_rng @t1)) % 34.18/34.95 (define @t178 () (= @t2 @t177)) % 34.18/34.95 (define @t179 () (tptp.being_limit_ordinal @t1)) % 34.18/34.95 (define @t180 () (tptp.subset_complement @t1 @t2)) % 34.18/34.95 (define @t181 () (tptp.ordered_pair @t1 @t2)) % 34.18/34.95 (define @t182 () (tptp.is_connected_in @t1 @t2)) % 34.18/34.95 (define @t183 () (tptp.is_transitive_in @t1 @t2)) % 34.18/34.95 (define @t184 () (tptp.cartesian_product2 @t2 @t2)) % 34.18/34.95 (define @t185 () (tptp.relation_restriction @t1 @t2)) % 34.18/34.95 (define @t186 () (tptp.relation_inverse @t1)) % 34.18/34.95 (define @t187 () (tptp.apply @t25 @t72)) % 34.18/34.95 (define @t188 () (tptp.apply @t25 @t60)) % 34.18/34.95 (define @t189 () (tptp.relation_isomorphism @t1 @t2 @t25)) % 34.18/34.95 (define @t190 () (and @t26 @t173)) % 34.18/34.95 (define @t191 () (tptp.disjoint @t1 @t2)) % 34.18/34.95 (define @t192 () (tptp.meet_absorbing @t1)) % 34.18/34.95 (define @t193 () (tptp.latt_str @t1)) % 34.18/34.95 (define @t194 () (@list @t141)) % 34.18/34.95 (define @t195 () (tptp.relation_composition @t1 @t2)) % 34.18/34.95 (define @t196 () (@list @t25 @t60 @t72)) % 34.18/34.95 (define @t197 () (tptp.complements_of_subsets @t1 @t2)) % 34.18/34.95 (define @t198 () (tptp.powerset @t33)) % 34.18/34.95 (define @t199 () (tptp.element @t2 @t198)) % 34.18/34.95 (define @t200 () (not @t71)) % 34.18/34.95 (define @t201 () (tptp.function_inverse @t1)) % 34.18/34.95 (define @t202 () (tptp.apply_binary_as_element @t1 @t2 @t25 @t60 @t72 @t141)) % 34.18/34.95 (define @t203 () (tptp.function @t60)) % 34.18/34.95 (define @t204 () (not @t137)) % 34.18/34.95 (define @t205 () (and @t138 @t204 @t203 (tptp.quasi_total @t60 @t27 @t25) (tptp.relation_of2 @t60 @t27 @t25) (tptp.element @t72 @t1) (tptp.element @t141 @t2))) % 34.18/34.95 (define @t206 () (@list @t1 @t2 @t25 @t60 @t72 @t141)) % 34.18/34.95 (define @t207 () (tptp.relation @t186)) % 34.18/34.95 (define @t208 () (tptp.relation @t195)) % 34.18/34.95 (define @t209 () (and @t24 @t68)) % 34.18/34.95 (define @t210 () (tptp.powerset @t2)) % 34.18/34.95 (define @t211 () (tptp.relation_rng_as_subset @t1 @t2 @t25)) % 34.18/34.95 (define @t212 () (tptp.union_of_subsets @t1 @t2)) % 34.18/34.95 (define @t213 () (tptp.relation @t66)) % 34.18/34.95 (define @t214 () (tptp.meet_of_subsets @t1 @t2)) % 34.18/34.95 (define @t215 () (tptp.subset_difference @t1 @t2 @t25)) % 34.18/34.95 (define @t216 () (tptp.element @t25 @t33)) % 34.18/34.95 (define @t217 () (and @t34 @t216)) % 34.18/34.95 (define @t218 () (tptp.relation @t78)) % 34.18/34.95 (define @t219 () (tptp.relation @t89)) % 34.18/34.95 (define @t220 () (tptp.one_sorted_str @t1)) % 34.18/34.95 (define @t221 () (tptp.cartesian_product2 @t44 @t44)) % 34.18/34.95 (define @t222 () (tptp.finite @t53)) % 34.18/34.95 (define @t223 () (tptp.relation_composition @t2 @t1)) % 34.18/34.95 (define @t224 () (and @t17 @t68)) % 34.18/34.95 (define @t225 () (tptp.relation_empty_yielding tptp.empty_set)) % 34.18/34.95 (define @t226 () (tptp.relation tptp.empty_set)) % 34.18/34.95 (define @t227 () (tptp.empty tptp.empty_set)) % 34.18/34.95 (define @t228 () (tptp.relation_empty_yielding @t1)) % 34.18/34.95 (define @t229 () (and @t24 @t228)) % 34.18/34.95 (define @t230 () (not (tptp.empty @t120))) % 34.18/34.95 (define @t231 () (not (tptp.empty @t33))) % 34.18/34.95 (define @t232 () (not (tptp.empty @t121))) % 34.18/34.95 (define @t233 () (and @t50 @t220)) % 34.18/34.95 (define @t234 () (tptp.ordinal @t121)) % 34.18/34.95 (define @t235 () (tptp.epsilon_connected @t121)) % 34.18/34.95 (define @t236 () (tptp.epsilon_transitive @t121)) % 34.18/34.95 (define @t237 () (and @t68 @t103)) % 34.18/34.95 (define @t238 () (tptp.empty @t81)) % 34.18/34.95 (define @t239 () (and @t138 @t24)) % 34.18/34.95 (define @t240 () (tptp.empty @t177)) % 34.18/34.95 (define @t241 () (tptp.in @t2 @t91)) % 34.18/34.95 (define @t242 () (tptp.disjoint @t120 @t2)) % 34.18/34.95 (define @t243 () (not @t5)) % 34.18/34.95 (define @t244 () (tptp.well_ordering @t2)) % 34.18/34.95 (define @t245 () (tptp.in (tptp.ordered_pair @t25 @t2) @t1)) % 34.18/34.95 (define @t246 () (tptp.singleton @t25)) % 34.18/34.95 (define @t247 () (not @t106)) % 34.18/34.95 (define @t248 () (tptp.singleton @t2)) % 34.18/34.95 (define @t249 () (tptp.union @t2)) % 34.18/34.95 (define @t250 () (tptp.in @t1 @t25)) % 34.18/34.95 (define @t251 () (tptp.element @t1 @t210)) % 34.18/34.95 (define @t252 () (tptp.relation_dom_restriction @t25 @t1)) % 34.18/34.95 (define @t253 () (tptp.in @t2 (tptp.relation_dom @t252))) % 34.18/34.95 (define @t254 () (tptp.one_to_one @t2)) % 34.18/34.95 (define @t255 () (= @t42 @t115)) % 34.18/34.95 (define @t256 () (forall @t29 (=> @t51 @t255))) % 34.18/34.95 (define @t257 () (tptp.set_difference @t2 @t25)) % 34.18/34.95 (define @t258 () (@var "K" $$unsorted)) % 34.18/34.95 (define @t259 () (@var "J" $$unsorted)) % 34.18/34.95 (define @t260 () (tptp.in @t258 @t259)) % 34.18/34.95 (define @t261 () (@list @t258)) % 34.18/34.95 (define @t262 () (@list @t259)) % 34.18/34.95 (define @t263 () (= @t60 @t72)) % 34.18/34.95 (define @t264 () (@var "I" $$unsorted)) % 34.18/34.95 (define @t265 () (@var "H" $$unsorted)) % 34.18/34.95 (define @t266 () (tptp.in @t264 @t265)) % 34.18/34.95 (define @t267 () (@list @t264)) % 34.18/34.95 (define @t268 () (@list @t265)) % 34.18/34.95 (define @t269 () (exists @t268 (and (= @t25 @t265) (tptp.in @t72 @t265) (forall @t267 (=> @t266 (tptp.in (tptp.ordered_pair @t72 @t264) @t2)))))) % 34.18/34.95 (define @t270 () (@var "G" $$unsorted)) % 34.18/34.95 (define @t271 () (tptp.in @t270 @t141)) % 34.18/34.95 (define @t272 () (@list @t270)) % 34.18/34.95 (define @t273 () (exists @t194 (and (= @t25 @t141) (tptp.in @t60 @t141) (forall @t272 (=> @t271 (tptp.in (tptp.ordered_pair @t60 @t270) @t2)))))) % 34.18/34.95 (define @t274 () (forall @t196 (=> (and @t62 @t273 @t62 @t269) @t263))) % 34.18/34.95 (define @t275 () (and @t138 @t68)) % 34.18/34.95 (define @t276 () (= @t60 @t248)) % 34.18/34.95 (define @t277 () (= @t25 @t248)) % 34.18/34.95 (define @t278 () (forall @t107 (=> (and @t3 @t277 @t3 @t276) @t61))) % 34.18/34.95 (define @t279 () (tptp.ordinal @t25)) % 34.18/34.95 (define @t280 () (@var "S" $$unsorted)) % 34.18/34.95 (define @t281 () (@var "T" $$unsorted)) % 34.18/34.95 (define @t282 () (@var "R" $$unsorted)) % 34.18/34.95 (define @t283 () (tptp.powerset (tptp.powerset @t60))) % 34.18/34.95 (define @t284 () (@list @t282)) % 34.18/34.95 (define @t285 () (tptp.in @t60 tptp.omega)) % 34.18/34.95 (define @t286 () (tptp.ordinal @t60)) % 34.18/34.95 (define @t287 () (@var "P" $$unsorted)) % 34.18/34.95 (define @t288 () (@var "Q" $$unsorted)) % 34.18/34.95 (define @t289 () (@var "O" $$unsorted)) % 34.18/34.95 (define @t290 () (@list @t288)) % 34.18/34.95 (define @t291 () (@list @t287)) % 34.18/34.95 (define @t292 () (@list @t289)) % 34.18/34.95 (define @t293 () (@var "M" $$unsorted)) % 34.18/34.95 (define @t294 () (@var "N" $$unsorted)) % 34.18/34.95 (define @t295 () (@var "L" $$unsorted)) % 34.18/34.95 (define @t296 () (@list @t294)) % 34.18/34.95 (define @t297 () (tptp.in @t293 @t295)) % 34.18/34.95 (define @t298 () (@list @t293)) % 34.18/34.95 (define @t299 () (@list @t295)) % 34.18/34.95 (define @t300 () (tptp.succ @t60)) % 34.18/34.95 (define @t301 () (=> @t285 (forall @t82 (=> (tptp.element @t72 @t283) (not (and (not (= @t72 tptp.empty_set)) (forall @t194 (not (and (tptp.in @t141 @t72) (forall @t272 (=> (and (tptp.in @t270 @t72) (tptp.subset @t141 @t270)) (= @t270 @t141)))))))))))) % 34.18/34.95 (define @t302 () (tptp.subset @t2 @t25)) % 34.18/34.95 (define @t303 () (tptp.powerset tptp.empty_set)) % 34.18/34.95 (define @t304 () (tptp.apply @t25 @t141)) % 34.18/34.95 (define @t305 () (tptp.in @t141 @t1)) % 34.18/34.95 (define @t306 () (tptp.relation @t60)) % 34.18/34.95 (define @t307 () (and @t68 @t26 @t173)) % 34.18/34.95 (define @t308 () (forall @t261 (=> @t260 (tptp.in (tptp.ordered_pair @t60 @t258) @t2)))) % 34.18/34.95 (define @t309 () (tptp.in @t60 @t259)) % 34.18/34.95 (define @t310 () (= @t141 @t72)) % 34.18/34.95 (define @t311 () (tptp.cartesian_product2 @t1 @t25)) % 34.18/34.95 (define @t312 () (= @t72 @t141)) % 34.18/34.95 (define @t313 () (tptp.ordered_pair @t258 @t295)) % 34.18/34.95 (define @t314 () (@list @t258 @t295)) % 34.18/34.95 (define @t315 () (= @t60 @t141)) % 34.18/34.95 (define @t316 () (tptp.in @t259 @t264)) % 34.18/34.95 (define @t317 () (tptp.in @t270 @t1)) % 34.18/34.95 (define @t318 () (tptp.ordered_pair @t270 @t265)) % 34.18/34.95 (define @t319 () (@list @t270 @t265)) % 34.18/34.95 (define @t320 () (@list @t60 @t72 @t141)) % 34.18/34.95 (define @t321 () (= @t72 @t60)) % 34.18/34.95 (define @t322 () (tptp.in @t265 @t1)) % 34.18/34.95 (define @t323 () (= @t25 @t72)) % 34.18/34.95 (define @t324 () (tptp.ordered_pair @t141 @t270)) % 34.18/34.95 (define @t325 () (@list @t141 @t270)) % 34.18/34.95 (define @t326 () (= @t60 @t25)) % 34.18/34.95 (define @t327 () (not (and (not (= @t141 tptp.empty_set)) (forall @t272 (not (and @t271 (forall @t268 (=> (and (tptp.in @t265 @t141) (tptp.subset @t270 @t265)) (= @t265 @t270))))))))) % 34.18/34.95 (define @t328 () (tptp.ordinal @t72)) % 34.18/34.95 (define @t329 () (and @t14 (tptp.element @t2 (tptp.powerset (tptp.powerset @t121))))) % 34.18/34.95 (define @t330 () (tptp.cartesian_product2 @t1 @t1)) % 34.18/34.95 (define @t331 () (tptp.apply @t25 @t270)) % 34.18/34.95 (define @t332 () (tptp.in (tptp.relation_image @t25 @t72) @t2)) % 34.18/34.95 (define @t333 () (tptp.powerset @t170)) % 34.18/34.95 (define @t334 () (and @t199 @t26 @t173)) % 34.18/34.95 (define @t335 () (tptp.succ @t2)) % 34.18/34.95 (define @t336 () (tptp.apply @t2 @t25)) % 34.18/34.95 (define @t337 () (= @t101 @t1)) % 34.18/34.95 (define @t338 () (exists @t13 (and @t68 @t103 @t337 (forall @t90 (=> @t62 (= @t336 @t246)))))) % 34.18/34.95 (define @t339 () (tptp.in @t1 tptp.omega)) % 34.18/34.95 (define @t340 () (= @t1 @t25)) % 34.18/34.95 (define @t341 () (tptp.relation_rng @t89)) % 34.18/34.95 (define @t342 () (forall @t90 (not (and @t158 (not (tptp.are_equipotent @t25 @t2)) @t153)))) % 34.18/34.95 (define @t343 () (tptp.powerset @t25)) % 34.18/34.95 (define @t344 () (forall @t65 (=> (and @t122 (tptp.subset @t60 @t25)) @t75))) % 34.18/34.95 (define @t345 () (tptp.relation_dom_restriction @t25 @t2)) % 34.18/34.95 (define @t346 () (tptp.relation_image @t2 @t1)) % 34.18/34.95 (define @t347 () (tptp.relation_inverse_image @t2 @t1)) % 34.18/34.95 (define @t348 () (tptp.relation_image @t2 @t347)) % 34.18/34.95 (define @t349 () (tptp.set_intersection2 @t101 @t1)) % 34.18/34.95 (define @t350 () (tptp.subset @t1 @t102)) % 34.18/34.95 (define @t351 () (tptp.relation_of2_as_subset @t60 @t25 @t2)) % 34.18/34.95 (define @t352 () (tptp.relation_rng @t60)) % 34.18/34.95 (define @t353 () (tptp.relation_of2_as_subset @t60 @t25 @t1)) % 34.18/34.95 (define @t354 () (tptp.relation_rng @t195)) % 34.18/34.95 (define @t355 () (tptp.relation_inverse_image @t25 @t2)) % 34.18/34.95 (define @t356 () (tptp.relation_restriction @t25 @t2)) % 34.18/34.95 (define @t357 () (tptp.relation_restriction @t2 @t1)) % 34.18/34.95 (define @t358 () (tptp.relation_dom_restriction @t2 @t1)) % 34.18/34.95 (define @t359 () (tptp.relation_field @t25)) % 34.18/34.95 (define @t360 () (tptp.in @t1 @t359)) % 34.18/34.95 (define @t361 () (tptp.set_intersection2 @t2 @t25)) % 34.18/34.95 (define @t362 () (tptp.subset @t1 @t25)) % 34.18/34.95 (define @t363 () (tptp.element @t1 @t2)) % 34.18/34.95 (define @t364 () (tptp.in @t1 @t170)) % 34.18/34.95 (define @t365 () (tptp.in @t181 @t25)) % 34.18/34.95 (define @t366 () (tptp.relation_field @t357)) % 34.18/34.95 (define @t367 () (tptp.apply @t25 @t1)) % 34.18/34.95 (define @t368 () (tptp.relation_composition @t25 @t2)) % 34.18/34.95 (define @t369 () (tptp.in @t1 (tptp.relation_dom @t368))) % 34.18/34.95 (define @t370 () (tptp.apply @t60 @t25)) % 34.18/34.95 (define @t371 () (and @t203 (tptp.quasi_total @t60 @t1 @t2) (tptp.relation_of2_as_subset @t60 @t1 @t2))) % 34.18/34.95 (define @t372 () (tptp.reflexive @t2)) % 34.18/34.95 (define @t373 () (tptp.connected @t2)) % 34.18/34.95 (define @t374 () (tptp.transitive @t2)) % 34.18/34.95 (define @t375 () (tptp.antisymmetric @t2)) % 34.18/34.95 (define @t376 () (tptp.well_ordering @t357)) % 34.18/34.95 (define @t377 () (= @t366 @t1)) % 34.18/34.95 (define @t378 () (tptp.well_orders @t2 @t1)) % 34.18/34.95 (define @t379 () (tptp.below @t1 @t25 @t2)) % 34.18/34.95 (define @t380 () (and @t145 @t379)) % 34.18/34.95 (define @t381 () (=> @t380 @t117)) % 34.18/34.95 (define @t382 () (forall @t90 (=> @t45 @t381))) % 34.18/34.95 (define @t383 () (=> @t46 @t382)) % 34.18/34.95 (define @t384 () (forall @t13 @t383)) % 34.18/34.95 (define @t385 () (and @t50 @t48 @t47)) % 34.18/34.95 (define @t386 () (=> @t385 @t384)) % 34.18/34.95 (define @t387 () (forall @t15 @t386)) % 34.18/34.95 (define @t388 () (not @t387)) % 34.18/34.95 (define @t389 () (tptp.well_founded_relation @t2)) % 34.18/34.95 (define @t390 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 34.18/34.95 (define @t391 () (and @t62 @t122)) % 34.18/34.95 (define @t392 () (not @t191)) % 34.18/34.95 (define @t393 () (= @t1 @t335)) % 34.18/34.95 (define @t394 () (tptp.subset_complement @t1 @t25)) % 34.18/34.95 (define @t395 () (tptp.disjoint @t2 @t25)) % 34.18/34.95 (define @t396 () (tptp.relation_dom @t195)) % 34.18/34.95 (define @t397 () (tptp.element @t2 @t343)) % 34.18/34.95 (define @t398 () (tptp.in @t25 @t53)) % 34.18/34.95 (define @t399 () (and (tptp.in @t25 @t177) (= @t60 @t336))) % 34.18/34.95 (define @t400 () (tptp.function_inverse @t2)) % 34.18/34.95 (define @t401 () (= @t177 tptp.empty_set)) % 34.18/34.95 (define @t402 () (= @t81 tptp.empty_set)) % 34.18/34.95 (define @t403 () (= (tptp.apply @t252 @t2) (tptp.apply @t25 @t2))) % 34.18/34.95 (define @t404 () (= @t120 (tptp.unordered_pair @t2 @t25))) % 34.18/34.95 (define @t405 () (not @t45)) % 34.18/34.95 (define @t406 () (not @t46)) % 34.18/34.95 (define @t407 () (not @t47)) % 34.18/34.95 (define @t408 () (not @t48)) % 34.18/34.95 (define @t409 () (or @t49 @t408 @t407 @t406 @t405)) % 34.18/34.95 (define @t410 () (not @t50)) % 34.18/34.95 (define @t411 () (or @t410 @t408 @t407 @t406 @t405)) % 34.18/34.95 (define @t412 () (not @t51)) % 34.18/34.95 (define @t413 () (@var "BOUND_VARIABLE_15049" $$unsorted)) % 34.18/34.95 (define @t414 () (@var "BOUND_VARIABLE_15047" $$unsorted)) % 34.18/34.95 (define @t415 () (= @t414 @t413)) % 34.18/34.95 (define @t416 () (not (tptp.below @t1 @t413 @t414))) % 34.18/34.95 (define @t417 () (not (tptp.below @t1 @t414 @t413))) % 34.18/34.95 (define @t418 () (not (tptp.element @t413 @t44))) % 34.18/34.95 (define @t419 () (not (tptp.element @t414 @t44))) % 34.18/34.95 (define @t420 () (or @t49 @t408 @t407 @t419 @t418 @t417 @t416 @t415)) % 34.18/34.95 (define @t421 () (@list @t1 @t414 @t413)) % 34.18/34.95 (define @t422 () (forall @t421 @t420)) % 34.18/34.95 (define @t423 () (@quantifiers_skolemize @t422 2)) % 34.18/34.95 (define @t424 () (@quantifiers_skolemize @t422 1)) % 34.18/34.95 (define @t425 () (@quantifiers_skolemize @t422 0)) % 34.18/34.95 (define @t426 () (@list @t425 @t424 @t423)) % 34.18/34.95 (define @t427 () (or @t419 @t418 @t417 @t416 @t415)) % 34.18/34.95 (define @t428 () (or @t49 @t408 @t407 @t427)) % 34.18/34.95 (define @t429 () (forall @t421 @t428)) % 34.18/34.95 (define @t430 () (@list @t414 @t413)) % 34.18/34.95 (define @t431 () (forall @t430 @t428)) % 34.18/34.95 (define @t432 () (forall @t430 @t427)) % 34.18/34.95 (define @t433 () (@var "BOUND_VARIABLE_15026" $$unsorted)) % 34.18/34.95 (define @t434 () (or @t49 @t408 @t407 @t432)) % 34.18/34.95 (define @t435 () (= @t2 @t433)) % 34.18/34.95 (define @t436 () (not (tptp.below @t1 @t433 @t2))) % 34.18/34.95 (define @t437 () (not (tptp.below @t1 @t2 @t433))) % 34.18/34.95 (define @t438 () (not (tptp.element @t433 @t44))) % 34.18/34.95 (define @t439 () (or @t406 @t438 @t437 @t436 @t435)) % 34.18/34.95 (define @t440 () (@list @t2 @t433)) % 34.18/34.95 (define @t441 () (forall @t440 @t439)) % 34.18/34.95 (define @t442 () (or @t49 @t408 @t407 @t441)) % 34.18/34.95 (define @t443 () (or @t410 @t408 @t407)) % 34.18/34.95 (define @t444 () (or @t438 @t437 @t436 @t435)) % 34.18/34.95 (define @t445 () (or @t406 @t444)) % 34.18/34.95 (define @t446 () (forall @t440 @t445)) % 34.18/34.95 (define @t447 () (@list @t433)) % 34.18/34.95 (define @t448 () (forall @t447 @t445)) % 34.18/34.95 (define @t449 () (forall @t447 @t444)) % 34.18/34.95 (define @t450 () (@list @t25)) % 34.18/34.95 (define @t451 () (or @t406 @t449)) % 34.18/34.95 (define @t452 () (not @t379)) % 34.18/34.95 (define @t453 () (not @t145)) % 34.18/34.95 (define @t454 () (or @t405 @t453 @t452 @t117)) % 34.18/34.95 (define @t455 () (forall @t90 @t454)) % 34.18/34.95 (define @t456 () (or @t453 @t452 @t117)) % 34.18/34.95 (define @t457 () (tptp.the_carrier @t425)) % 34.18/34.95 (define @t458 () (tptp.element @t423 @t457)) % 34.18/34.95 (define @t459 () (= @t424 @t423)) % 34.18/34.95 (define @t460 () (tptp.below @t425 @t423 @t424)) % 34.18/34.95 (define @t461 () (not @t460)) % 34.18/34.95 (define @t462 () (tptp.below @t425 @t424 @t423)) % 34.18/34.95 (define @t463 () (not @t462)) % 34.18/34.95 (define @t464 () (not @t458)) % 34.18/34.95 (define @t465 () (tptp.element @t424 @t457)) % 34.18/34.95 (define @t466 () (not @t465)) % 34.18/34.95 (define @t467 () (tptp.join_semilatt_str @t425)) % 34.18/34.95 (define @t468 () (not @t467)) % 34.18/34.95 (define @t469 () (tptp.join_commutative @t425)) % 34.18/34.95 (define @t470 () (not @t469)) % 34.18/34.95 (define @t471 () (tptp.empty_carrier @t425)) % 34.18/34.95 (define @t472 () (or @t471 @t470 @t468 @t466 @t464 @t463 @t461 @t459)) % 34.18/34.95 (define @t473 () (@list true)) % 34.18/34.95 (define @t474 () (@list @t472)) % 34.18/34.95 (define @t475 () (tptp.join_commut @t425 @t423 @t424)) % 34.18/34.95 (define @t476 () (tptp.join_commut @t425 @t424 @t423)) % 34.18/34.95 (define @t477 () (= @t476 @t475)) % 34.18/34.95 (define @t478 () (or @t471 @t470 @t468 @t466 @t464 @t477)) % 34.18/34.95 (define @t479 () (@list true false false false false false)) % 34.18/34.95 (define @t480 () (tptp.join @t425 @t424 @t423)) % 34.18/34.95 (define @t481 () (= @t476 @t480)) % 34.18/34.95 (define @t482 () (or @t471 @t470 @t468 @t466 @t464 @t481)) % 34.18/34.95 (define @t483 () (@var "BOUND_VARIABLE_11280" $$unsorted)) % 34.18/34.95 (define @t484 () (@var "BOUND_VARIABLE_11278" $$unsorted)) % 34.18/34.95 (define @t485 () (= (tptp.below @t1 @t484 @t483) (= @t483 (tptp.join @t1 @t484 @t483)))) % 34.18/34.95 (define @t486 () (not (tptp.element @t483 @t44))) % 34.18/34.95 (define @t487 () (not (tptp.element @t484 @t44))) % 34.18/34.95 (define @t488 () (or @t487 @t486 @t485)) % 34.18/34.95 (define @t489 () (or @t49 @t407 @t488)) % 34.18/34.95 (define @t490 () (forall (@list @t1 @t484 @t483) @t489)) % 34.18/34.95 (define @t491 () (@list @t484 @t483)) % 34.18/34.95 (define @t492 () (forall @t491 @t489)) % 34.18/34.95 (define @t493 () (forall @t491 @t488)) % 34.18/34.95 (define @t494 () (@var "BOUND_VARIABLE_11260" $$unsorted)) % 34.18/34.95 (define @t495 () (or @t49 @t407 @t493)) % 34.18/34.95 (define @t496 () (= (tptp.below @t1 @t2 @t494) (= @t494 (tptp.join @t1 @t2 @t494)))) % 34.18/34.95 (define @t497 () (not (tptp.element @t494 @t44))) % 34.18/34.95 (define @t498 () (or @t406 @t497 @t496)) % 34.18/34.95 (define @t499 () (@list @t2 @t494)) % 34.18/34.95 (define @t500 () (forall @t499 @t498)) % 34.18/34.95 (define @t501 () (or @t49 @t407 @t500)) % 34.18/34.95 (define @t502 () (or @t497 @t496)) % 34.18/34.95 (define @t503 () (or @t406 @t502)) % 34.18/34.95 (define @t504 () (forall @t499 @t503)) % 34.18/34.95 (define @t505 () (@list @t494)) % 34.18/34.95 (define @t506 () (forall @t505 @t503)) % 34.18/34.95 (define @t507 () (forall @t505 @t502)) % 34.18/34.95 (define @t508 () (or @t406 @t507)) % 34.18/34.95 (define @t509 () (= @t145 (= @t25 @t115))) % 34.18/34.95 (define @t510 () (forall @t90 (or @t405 @t509))) % 34.18/34.95 (define @t511 () (= @t423 @t480)) % 34.18/34.95 (define @t512 () (= @t462 @t511)) % 34.18/34.95 (define @t513 () (or @t471 @t468 @t466 @t464 @t512)) % 34.18/34.95 (define @t514 () (@list true false false false false)) % 34.18/34.95 (define @t515 () (@list false false)) % 34.18/34.95 (define @t516 () (@list @t425 @t423 @t424)) % 34.18/34.95 (define @t517 () (tptp.join @t425 @t423 @t424)) % 34.18/34.95 (define @t518 () (= @t475 @t517)) % 34.18/34.95 (define @t519 () (or @t471 @t470 @t468 @t464 @t466 @t518)) % 34.18/34.95 (define @t520 () (= @t424 @t517)) % 34.18/34.95 (define @t521 () (= @t460 @t520)) % 34.18/34.95 (define @t522 () (or @t471 @t468 @t464 @t466 @t521)) % 34.18/34.95 (assume @p1 (forall @t6 (=> @t5 @t4))) % 34.18/34.95 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 34.18/34.95 (assume @p3 (forall @t15 (=> @t14 (forall @t13 (=> @t12 (and @t11 @t10 @t9)))))) % 34.18/34.95 (assume @p4 (forall @t15 (=> @t17 @t16))) % 34.18/34.95 (assume @p5 (forall @t15 (=> @t19 @t18))) % 34.18/34.95 (assume @p6 (forall @t15 (=> @t17 @t20))) % 34.18/34.95 (assume @p7 (forall @t15 (=> @t14 @t23))) % 34.18/34.95 (assume @p8 (forall @t15 (=> @t17 @t24))) % 34.18/34.95 (assume @p9 (forall @t29 (=> @t28 @t26))) % 34.18/34.95 (assume @p10 (forall @t15 (=> (and @t17 @t14) @t31))) % 34.18/34.95 (assume @p11 (forall @t15 (=> @t16 (forall @t13 (=> @t34 @t32))))) % 34.18/34.95 (assume @p12 (forall @t15 (=> @t18 @t19))) % 34.18/34.95 (assume @p13 (forall @t15 (=> @t37 @t36))) % 34.18/34.95 (assume @p14 (forall @t15 (=> @t23 @t14))) % 34.18/34.95 (assume @p15 (forall @t15 (=> (tptp.element @t1 tptp.omega) @t31))) % 34.18/34.95 (assume @p16 (forall @t15 (=> @t17 @t38))) % 34.18/34.95 (assume @p17 (forall @t6 (= @t39 (tptp.unordered_pair @t2 @t1)))) % 34.18/34.95 (assume @p18 (forall @t6 (= @t41 @t40))) % 34.18/34.95 (assume @p19 @t52) % 34.18/34.95 (assume @p20 (forall @t6 (= @t53 (tptp.set_intersection2 @t2 @t1)))) % 34.18/34.95 (assume @p21 (forall @t29 (=> @t57 (= @t54 (tptp.meet_commut @t1 @t25 @t2))))) % 34.18/34.95 (assume @p22 (forall @t6 (=> @t59 (or @t58 (tptp.ordinal_subset @t2 @t1))))) % 34.18/34.95 (assume @p23 (forall @t6 (=> @t68 (= @t67 (forall @t65 (= @t64 (and @t62 @t61))))))) % 34.18/34.95 (assume @p24 (forall @t6 (= @t71 (and @t70 @t69)))) % 34.18/34.95 (assume @p25 (forall @t15 (=> @t24 (forall @t79 (=> @t26 (= (= @t25 @t78) (forall @t77 (= @t76 (and @t75 @t74))))))))) % 34.18/34.95 (assume @p26 (forall @t15 (=> @t87 (forall @t79 (= @t86 (forall @t84 (= @t83 (exists @t82 (and (tptp.in @t72 @t81) @t80 (= @t60 (tptp.apply @t1 @t72))))))))))) % 34.18/34.95 (assume @p27 (forall @t6 (=> @t68 (forall @t90 (=> @t26 (= (= @t25 @t89) (forall @t77 (= @t76 (and @t88 (tptp.in @t73 @t2)))))))))) % 34.18/34.95 (assume @p28 (forall @t15 (=> @t24 (= @t92 (tptp.is_antisymmetric_in @t1 @t91))))) % 34.18/34.95 (assume @p29 (forall @t15 (=> @t87 (forall @t79 (= @t95 (forall @t84 (= @t83 (and @t94 (tptp.in @t93 @t2))))))))) % 34.18/34.95 (assume @p30 (forall @t15 (=> @t24 (forall @t79 (= @t86 (forall @t84 (= @t83 (exists @t82 (and (tptp.in @t96 @t1) @t80))))))))) % 34.18/34.95 (assume @p31 (forall @t15 (=> @t24 (forall @t79 (= @t95 (forall @t84 (= @t83 (exists @t82 (and @t74 @t80))))))))) % 34.18/34.95 (assume @p32 (forall @t15 (=> @t24 (= @t97 (tptp.is_connected_in @t1 @t91))))) % 34.18/34.95 (assume @p33 (forall @t15 (=> @t24 (= @t98 (tptp.is_transitive_in @t1 @t91))))) % 34.18/34.95 (assume @p34 (forall @t100 (= (= @t60 (tptp.unordered_triple @t1 @t2 @t25)) (forall @t82 (= @t99 (not (and (not (= @t72 @t1)) (not (= @t72 @t2)) (not (= @t72 @t25))))))))) % 34.18/34.95 (assume @p35 (forall @t15 (= @t16 (exists @t13 (and @t68 @t103 (= @t102 @t1) (tptp.in @t101 tptp.omega)))))) % 34.18/34.95 (assume @p36 (forall @t15 (= @t20 (forall @t107 (=> (and @t106 @t104) @t61))))) % 34.18/34.95 (assume @p37 (forall @t29 (=> @t113 (and (=> (=> @t111 @t110) (= @t109 (= @t1 @t112))) (=> @t111 (or @t110 (= @t109 @t108))))))) % 34.18/34.95 (assume @p38 (forall @t15 (=> @t116 (forall @t13 (=> @t46 (forall @t90 (=> @t45 (= @t115 (tptp.apply_binary_as_element @t44 @t44 @t44 @t114 @t2 @t25))))))))) % 34.18/34.95 (assume @p39 (forall @t15 (=> @t119 (forall @t13 (= (= @t2 (tptp.pair_first @t1)) (forall @t65 (=> @t118 @t117))))))) % 34.18/34.95 (assume @p40 (forall @t15 (= @t121 (tptp.set_union2 @t1 @t120)))) % 34.18/34.95 (assume @p41 (forall @t15 (= @t24 (forall @t13 (not (and @t3 (forall @t65 (not (= @t2 @t63))))))))) % 34.18/34.95 (assume @p42 (forall @t15 (=> @t24 (forall @t13 (= @t123 (forall @t90 (=> @t122 (tptp.in (tptp.ordered_pair @t25 @t25) @t1)))))))) % 34.18/34.95 (assume @p43 (forall @t29 (= @t124 (tptp.subset @t25 @t27)))) % 34.18/34.95 (assume @p44 (forall @t6 (and (=> @t128 (= @t125 (forall @t90 (= @t122 (forall @t84 (=> @t127 @t126)))))) (=> @t110 (= @t125 @t111))))) % 34.18/34.95 (assume @p45 (forall @t6 (= (= @t2 @t120) (forall @t90 (= @t122 (= @t25 @t1)))))) % 34.18/34.95 (assume @p46 (forall @t15 (=> @t24 (forall @t79 (= (= @t25 (tptp.fiber @t1 @t2)) (forall @t84 (= @t83 (and (not @t129) (tptp.in (tptp.ordered_pair @t60 @t2) @t1))))))))) % 34.18/34.95 (assume @p47 (forall @t6 (=> @t68 (= (= @t2 @t132) (and (= @t131 @t1) (forall @t65 (=> (and @t62 @t127) (= @t64 @t130)))))))) % 34.18/34.95 (assume @p48 (forall @t15 (= @t110 (forall @t13 @t4)))) % 34.18/34.95 (assume @p49 (forall @t6 (= (= @t2 @t33) (forall @t90 (= @t122 (tptp.subset @t25 @t1)))))) % 34.18/34.95 (assume @p50 (forall @t15 (=> (and @t50 @t55) (forall @t13 (=> @t46 (forall @t90 (=> @t45 (= @t134 (tptp.apply_binary_as_element @t44 @t44 @t44 @t133 @t2 @t25))))))))) % 34.18/34.95 (assume @p51 (forall @t15 (=> @t119 (forall @t13 (= (= @t2 (tptp.pair_second @t1)) (forall @t65 (=> @t118 @t135))))))) % 34.18/34.95 (assume @p52 (forall @t15 (= @t22 (forall @t13 (=> @t3 @t69))))) % 34.18/34.95 (assume @p53 (forall @t15 (=> @t24 (forall @t13 (=> @t68 (= @t71 (forall @t65 (= @t136 @t64)))))))) % 34.18/34.95 (assume @p54 (forall @t6 (and (=> @t138 (= @t12 @t3)) (=> @t17 (= @t12 @t137))))) % 34.18/34.95 (assume @p55 (forall @t29 (= (= @t25 @t39) (forall @t84 (= @t83 (or (= @t60 @t1) @t129)))))) % 34.18/34.95 (assume @p56 (forall @t15 (=> @t24 (= @t140 (forall @t13 (not (and (tptp.subset @t2 @t91) @t139 (forall @t90 (not (and @t122 (tptp.disjoint (tptp.fiber @t1 @t25) @t2))))))))))) % 34.18/34.95 (assume @p57 (forall @t29 (= (= @t25 @t41) (forall @t84 (= @t83 (or @t127 @t75)))))) % 34.18/34.95 (assume @p58 (forall @t29 (= (= @t25 @t27) (forall @t84 (= @t83 (exists @t144 (and @t88 @t143 (= @t60 @t142)))))))) % 34.18/34.95 (assume @p59 @t152) % 34.18/34.95 (assume @p60 (forall @t15 (= @t21 (forall @t79 (not (and @t3 @t62 (not @t155) @t154 @t153)))))) % 34.18/34.95 (assume @p61 (forall @t15 (=> @t24 (forall @t13 (=> @t68 (= @t70 (forall @t65 (=> @t136 @t64)))))))) % 34.18/34.95 (assume @p62 (forall @t6 (= @t70 @t156))) % 34.18/34.95 (assume @p63 (forall @t15 (=> @t24 (forall @t13 (= @t159 (forall @t90 (not (and @t158 @t157 (forall @t84 (not (and @t83 (tptp.disjoint (tptp.fiber @t1 @t60) @t25)))))))))))) % 34.18/34.95 (assume @p64 (forall @t29 (= (= @t25 @t53) (forall @t84 (= @t83 (and @t127 @t75)))))) % 34.18/34.95 (assume @p65 (forall @t15 (=> @t87 (forall @t79 (and (=> @t162 (= @t161 @t106)) (=> (not @t162) (= @t161 @t108))))))) % 34.18/34.95 (assume @p66 (forall @t15 (= @t14 @t23))) % 34.18/34.95 (assume @p67 (forall @t15 (=> @t24 (forall @t13 (= (= @t2 @t81) (forall @t90 (= @t122 (exists @t84 @t136)))))))) % 34.18/34.95 (assume @p68 (forall @t15 (=> @t24 (forall @t13 (= @t164 (forall @t65 (=> (and @t122 @t75 @t136 @t163) @t61))))))) % 34.18/34.95 (assume @p69 (forall @t15 (= @t165 @t1))) % 34.18/34.95 (assume @p70 (forall @t6 (= (= @t2 @t166) (forall @t90 (= @t122 (exists @t84 (and @t126 @t127))))))) % 34.18/34.95 (assume @p71 (forall @t15 (=> @t24 (= @t168 (and @t167 @t98 @t92 @t97 @t140))))) % 34.18/34.95 (assume @p72 (forall @t6 (= @t174 (exists @t90 (and @t26 @t173 @t172 @t171 (= @t169 @t2)))))) % 34.18/34.95 (assume @p73 (forall @t29 (= (= @t25 @t175) (forall @t84 (= @t83 (and @t127 (not @t75))))))) % 34.18/34.95 (assume @p74 (forall @t15 (=> @t87 (forall @t13 (= @t178 (forall @t90 (= @t122 (exists @t84 @t176)))))))) % 34.18/34.95 (assume @p75 (forall @t15 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t179 @t14 (forall @t13 (=> @t9 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t70))))))) % 34.18/34.95 (assume @p76 (forall @t15 (=> @t24 (forall @t13 (= @t178 (forall @t90 (= @t122 (exists @t84 @t163)))))))) % 34.18/34.95 (assume @p77 (forall @t6 (=> @t34 (= @t180 @t175)))) % 34.18/34.95 (assume @p78 (forall @t6 (= @t181 (tptp.unordered_pair @t39 @t120)))) % 34.18/34.95 (assume @p79 (forall @t15 (=> @t24 (forall @t13 (= (tptp.well_orders @t1 @t2) (and @t123 @t183 @t164 @t182 @t159)))))) % 34.18/34.95 (assume @p80 (forall @t15 (= @t179 (= @t1 @t166)))) % 34.18/34.95 (assume @p81 (forall @t15 (=> @t24 (= @t91 (tptp.set_union2 @t81 @t177))))) % 34.18/34.95 (assume @p82 (forall @t15 (=> @t24 (forall @t13 (= @t182 (forall @t65 (not (and @t122 @t75 (not @t61) (not @t136) (not @t163))))))))) % 34.18/34.95 (assume @p83 (forall @t15 (=> @t24 (forall @t13 (= @t185 (tptp.set_intersection2 @t1 @t184)))))) % 34.18/34.95 (assume @p84 (forall @t15 (=> @t24 (forall @t13 (=> @t68 (= (= @t2 @t186) (forall @t65 (= @t64 @t163)))))))) % 34.18/34.95 (assume @p85 (forall @t15 (=> @t24 (forall @t13 (=> @t68 (forall @t90 (=> @t190 (= @t189 (and (= @t170 @t91) (= @t169 @t131) @t172 (forall @t77 (= @t74 (and (tptp.in @t60 @t91) (tptp.in @t72 @t91) (tptp.in (tptp.ordered_pair @t188 @t187) @t2))))))))))))) % 34.18/34.95 (assume @p86 (forall @t6 (= @t191 (= @t53 tptp.empty_set)))) % 34.18/34.95 (assume @p87 (forall @t15 (=> @t87 (= @t35 (forall @t79 (=> (and @t162 (tptp.in @t25 @t81) (= @t160 (tptp.apply @t1 @t25))) @t117)))))) % 34.18/34.95 (assume @p88 (forall @t15 (=> (and @t50 @t193) (= @t192 (forall @t13 (=> @t46 (forall @t90 (=> @t45 (= (tptp.join @t1 @t134 @t25) @t25))))))))) % 34.18/34.95 (assume @p89 (forall @t15 (=> @t24 (forall @t13 (=> @t68 (forall @t90 (=> @t26 (= (= @t25 @t195) (forall @t77 (= @t76 (exists @t194 (and (tptp.in (tptp.ordered_pair @t60 @t141) @t1) (tptp.in (tptp.ordered_pair @t141 @t72) @t2))))))))))))) % 34.18/34.95 (assume @p90 (forall @t15 (=> @t24 (forall @t13 (= @t183 (forall @t196 (=> (and @t122 @t75 @t80 @t136 @t74) (tptp.in (tptp.ordered_pair @t25 @t72) @t1)))))))) % 34.18/34.95 (assume @p91 (forall @t6 (=> @t199 (forall @t90 (=> (tptp.element @t25 @t198) (= (= @t25 @t197) (forall @t84 (=> (tptp.element @t60 @t33) (= @t83 (tptp.in (tptp.subset_complement @t1 @t60) @t2)))))))))) % 34.18/34.95 (assume @p92 (forall @t6 (= @t8 (and @t70 @t200)))) % 34.18/34.95 (assume @p93 (forall @t15 (=> @t87 (=> @t35 (= @t201 @t186))))) % 34.18/34.95 (assume @p94 (forall @t15 (=> @t24 (= @t167 (tptp.is_reflexive_in @t1 @t91))))) % 34.18/34.95 (assume @p95 true) % 34.18/34.95 (assume @p96 (forall @t29 (=> (and @t50 @t47 @t46 @t45) (tptp.element @t115 @t44)))) % 34.18/34.95 (assume @p97 (forall @t15 (tptp.relation @t132))) % 34.18/34.95 (assume @p98 (forall @t206 (=> @t205 (tptp.element @t202 @t25)))) % 34.18/34.95 (assume @p99 (forall @t15 (=> @t87 (and (tptp.relation @t201) (tptp.function @t201))))) % 34.18/34.95 (assume @p100 (forall @t29 (=> (and @t50 @t55 @t46 @t45) (tptp.element @t134 @t44)))) % 34.18/34.95 (assume @p101 (forall @t15 (tptp.element @t165 @t33))) % 34.18/34.95 (assume @p102 (forall @t6 (=> @t24 (tptp.relation @t185)))) % 34.18/34.95 (assume @p103 (forall @t29 (=> @t51 (tptp.element @t42 @t44)))) % 34.18/34.95 (assume @p104 (forall @t6 (=> @t34 (tptp.element @t180 @t33)))) % 34.18/34.95 (assume @p105 (forall @t29 (=> @t57 (tptp.element @t54 @t44)))) % 34.18/34.95 (assume @p106 (forall @t15 (=> @t24 @t207))) % 34.18/34.95 (assume @p107 (forall @t29 (=> @t124 (tptp.element @t112 @t33)))) % 34.18/34.95 (assume @p108 (forall @t6 (=> @t209 @t208))) % 34.18/34.95 (assume @p109 (forall @t29 (=> @t124 (tptp.element @t211 @t210)))) % 34.18/34.95 (assume @p110 (forall @t6 (=> @t199 (tptp.element @t212 @t33)))) % 34.18/34.95 (assume @p111 (forall @t15 @t213)) % 34.18/34.95 (assume @p112 (forall @t6 (=> @t199 (tptp.element @t214 @t33)))) % 34.18/34.95 (assume @p113 (forall @t29 (=> @t217 (tptp.element @t215 @t33)))) % 34.18/34.95 (assume @p114 (forall @t6 (=> @t24 @t218))) % 34.18/34.95 (assume @p115 (forall @t6 (=> @t199 (tptp.element @t197 @t198)))) % 34.18/34.95 (assume @p116 (forall @t6 (=> @t68 @t219))) % 34.18/34.95 (assume @p117 (forall @t15 (=> @t55 @t220))) % 34.18/34.95 (assume @p118 (forall @t15 (=> @t47 @t220))) % 34.18/34.95 (assume @p119 (forall @t15 (=> @t193 (and @t55 @t47)))) % 34.18/34.95 (assume @p120 (forall @t29 (=> @t113 @t28))) % 34.18/34.95 (assume @p121 (forall @t15 (=> @t55 (and (tptp.function @t133) (tptp.quasi_total @t133 @t221 @t44) (tptp.relation_of2_as_subset @t133 @t221 @t44))))) % 34.18/34.95 (assume @p122 (forall @t15 (=> @t47 (and (tptp.function @t114) (tptp.quasi_total @t114 @t221 @t44) (tptp.relation_of2_as_subset @t114 @t221 @t44))))) % 34.18/34.95 (assume @p123 (exists @t15 @t55)) % 34.18/34.95 (assume @p124 (exists @t15 @t220)) % 34.18/34.95 (assume @p125 (exists @t15 @t47)) % 34.18/34.95 (assume @p126 (exists @t15 @t193)) % 34.18/34.95 (assume @p127 (forall @t6 (exists @t90 @t124))) % 34.18/34.95 (assume @p128 (forall @t15 (exists @t13 @t12))) % 34.18/34.95 (assume @p129 (forall @t6 (exists @t90 @t113))) % 34.18/34.95 (assume @p130 (forall @t6 (=> @t32 @t222))) % 34.18/34.95 (assume @p131 (forall @t6 (=> @t224 (and (tptp.empty @t223) (tptp.relation @t223))))) % 34.18/34.95 (assume @p132 (forall @t6 (=> @t16 @t222))) % 34.18/34.95 (assume @p133 (forall @t15 (=> @t17 (and (tptp.empty @t186) @t207)))) % 34.18/34.95 (assume @p134 (forall @t6 (=> @t16 (tptp.finite @t175)))) % 34.18/34.95 (assume @p135 (and @t227 @t226 @t225)) % 34.18/34.95 (assume @p136 (forall @t6 (=> (and @t24 @t20 @t32) (tptp.finite @t85)))) % 34.18/34.95 (assume @p137 (forall @t6 (=> @t229 (and @t218 (tptp.relation_empty_yielding @t78))))) % 34.18/34.95 (assume @p138 (forall @t15 (and @t230 (tptp.finite @t120)))) % 34.18/34.95 (assume @p139 (forall @t15 (and @t231 (tptp.cup_closed @t33) (tptp.diff_closed @t33) (tptp.preboolean @t33)))) % 34.18/34.95 (assume @p140 (forall @t6 (=> (and @t24 @t20 @t68 @t103) (and @t208 (tptp.function @t195))))) % 34.18/34.95 (assume @p141 (forall @t15 @t232)) % 34.18/34.95 (assume @p142 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 34.18/34.95 (assume @p143 (forall @t6 (=> @t209 (tptp.relation @t53)))) % 34.18/34.95 (assume @p144 (forall @t15 (=> @t233 (not (tptp.empty @t44))))) % 34.18/34.95 (assume @p145 (forall @t15 @t231)) % 34.18/34.95 (assume @p146 @t227) % 34.18/34.95 (assume @p147 (forall @t6 (not (tptp.empty @t181)))) % 34.18/34.95 (assume @p148 (forall @t15 (=> (and @t14 @t30) (and @t232 @t236 @t235 @t234 (tptp.natural @t121))))) % 34.18/34.95 (assume @p149 (forall @t15 (and @t213 (tptp.function @t66)))) % 34.18/34.95 (assume @p150 (and @t226 @t225 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t227 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 34.18/34.95 (assume @p151 (forall @t6 (=> @t209 (tptp.relation @t41)))) % 34.18/34.95 (assume @p152 (forall @t15 @t230)) % 34.18/34.95 (assume @p153 (forall @t6 (=> @t138 (not (tptp.empty @t41))))) % 34.18/34.95 (assume @p154 (forall @t15 (=> @t36 (and @t207 (tptp.function @t186))))) % 34.18/34.95 (assume @p155 (forall @t15 (=> @t14 (and @t232 @t236 @t235 @t234)))) % 34.18/34.95 (assume @p156 (forall @t6 (=> @t209 (tptp.relation @t175)))) % 34.18/34.95 (assume @p157 (forall @t6 (not (tptp.empty @t39)))) % 34.18/34.95 (assume @p158 (forall @t6 (=> @t138 (not (tptp.empty @t40))))) % 34.18/34.95 (assume @p159 (forall @t6 (=> @t87 (and @t218 (tptp.function @t78))))) % 34.18/34.95 (assume @p160 (forall @t15 (=> @t14 (and (tptp.epsilon_transitive @t166) (tptp.epsilon_connected @t166) (tptp.ordinal @t166))))) % 34.18/34.95 (assume @p161 (and @t227 @t226)) % 34.18/34.95 (assume @p162 (forall @t6 (=> (and @t138 @t204) (not (tptp.empty @t27))))) % 34.18/34.95 (assume @p163 (forall @t6 (=> @t237 (and @t219 (tptp.function @t89))))) % 34.18/34.95 (assume @p164 (forall @t15 (=> @t239 (not @t238)))) % 34.18/34.95 (assume @p165 (forall @t15 (=> @t239 (not @t240)))) % 34.18/34.95 (assume @p166 (forall @t15 (=> @t17 (and @t238 (tptp.relation @t81))))) % 34.18/34.95 (assume @p167 (forall @t15 (=> @t17 (and @t240 (tptp.relation @t177))))) % 34.18/34.95 (assume @p168 (forall @t6 (=> (and @t16 @t32) (tptp.finite @t41)))) % 34.18/34.95 (assume @p169 (forall @t6 (=> @t224 (and (tptp.empty @t195) @t208)))) % 34.18/34.95 (assume @p170 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 34.18/34.95 (assume @p171 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 34.18/34.95 (assume @p172 (forall @t6 (=> @t34 (= (tptp.subset_complement @t1 @t180) @t2)))) % 34.18/34.95 (assume @p173 (forall @t15 (=> @t24 (= (tptp.relation_inverse @t186) @t1)))) % 34.18/34.95 (assume @p174 (forall @t6 (=> @t199 (= (tptp.complements_of_subsets @t1 @t197) @t2)))) % 34.18/34.95 (assume @p175 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 34.18/34.95 (assume @p176 (forall @t15 (=> @t24 (= @t167 (forall @t13 (=> @t241 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 34.18/34.95 (assume @p177 (forall @t15 (not (= @t120 tptp.empty_set)))) % 34.18/34.95 (assume @p178 (forall @t6 (=> @t5 (= (tptp.set_union2 @t120 @t2) @t2)))) % 34.18/34.95 (assume @p179 (forall @t6 (not (and @t242 @t5)))) % 34.18/34.95 (assume @p180 (forall @t6 (=> @t243 @t242))) % 34.18/34.95 (assume @p181 (forall @t6 (=> @t68 (tptp.subset (tptp.relation_dom @t89) @t101)))) % 34.18/34.95 (assume @p182 (forall @t15 (=> @t24 (= @t98 (forall @t107 (=> (and @t106 @t136) @t104)))))) % 34.18/34.95 (assume @p183 (forall @t6 (= (tptp.subset @t120 @t2) @t5))) % 34.18/34.95 (assume @p184 (forall @t6 (=> @t68 (not (and @t244 (tptp.equipotent @t1 @t131) (forall @t90 (=> @t26 (not (tptp.well_orders @t25 @t1))))))))) % 34.18/34.95 (assume @p185 (forall @t6 (= (= @t175 tptp.empty_set) @t70))) % 34.18/34.95 (assume @p186 (forall @t6 (=> @t34 (forall @t90 (=> @t122 @t62))))) % 34.18/34.95 (assume @p187 (forall @t15 (=> @t24 (= @t92 (forall @t79 (=> (and @t106 @t245) @t117)))))) % 34.18/34.95 (assume @p188 (forall @t29 (=> @t70 (or @t62 (tptp.subset @t1 (tptp.set_difference @t2 @t246)))))) % 34.18/34.95 (assume @p189 (forall @t15 (=> @t24 (= @t97 (forall @t79 (not (and @t241 (tptp.in @t25 @t91) @t154 @t247 (not @t245)))))))) % 34.18/34.95 (assume @p190 (forall @t6 (= (tptp.subset @t1 @t248) (or @t110 (= @t1 @t248))))) % 34.18/34.95 (assume @p191 (forall @t6 (=> @t5 (tptp.subset @t1 @t249)))) % 34.18/34.95 (assume @p192 (forall @t100 (= (tptp.in @t181 (tptp.cartesian_product2 @t25 @t60)) (and @t250 (tptp.in @t2 @t60))))) % 34.18/34.95 (assume @p193 (forall @t6 (=> @t156 @t251))) % 34.18/34.95 (assume @p194 (forall @t29 (=> @t190 (= @t253 (and (tptp.in @t2 @t170) @t3))))) % 34.18/34.95 (assume @p195 (exists @t15 (and @t138 @t22 @t21 @t14 @t30))) % 34.18/34.95 (assume @p196 (exists @t15 (and @t138 @t16))) % 34.18/34.95 (assume @p197 (exists @t15 @t87)) % 34.18/34.95 (assume @p198 (forall @t6 (exists @t90 (and @t124 @t26 @t173 @t109)))) % 34.18/34.95 (assume @p199 (exists @t15 @t38)) % 34.18/34.95 (assume @p200 (exists @t15 (and @t22 @t21 @t14 @t179))) % 34.18/34.95 (assume @p201 (exists @t15 (and @t24 @t20 @t35 @t17))) % 34.18/34.95 (assume @p202 (exists @t15 (and @t17 @t24))) % 34.18/34.95 (assume @p203 (forall @t15 (=> @t138 (exists @t13 (and @t34 @t204))))) % 34.18/34.95 (assume @p204 (exists @t15 @t17)) % 34.18/34.95 (assume @p205 (forall @t15 (exists @t13 (and @t34 @t137 @t68 @t103 @t254 @t11 @t10 @t9 (tptp.natural @t2) @t32)))) % 34.18/34.95 (assume @p206 (exists @t15 @t37)) % 34.18/34.95 (assume @p207 (exists @t15 (and @t24 @t20 @t35 @t17 @t22 @t21 @t14))) % 34.18/34.95 (assume @p208 (forall @t6 (exists @t90 (and @t124 @t26 @t173)))) % 34.18/34.95 (assume @p209 (exists @t15 @t239)) % 34.18/34.95 (assume @p210 (forall @t15 (exists @t13 (and @t34 @t137)))) % 34.18/34.95 (assume @p211 (exists @t15 @t138)) % 34.18/34.95 (assume @p212 (forall @t15 (=> @t138 (exists @t13 (and @t34 @t204 @t32))))) % 34.18/34.95 (assume @p213 (exists @t15 @t36)) % 34.18/34.95 (assume @p214 (exists @t15 (and @t138 @t22 @t21 @t14))) % 34.18/34.95 (assume @p215 (exists @t15 @t229)) % 34.18/34.95 (assume @p216 (exists @t15 (and @t220 @t50))) % 34.18/34.95 (assume @p217 (exists @t15 (and @t24 @t228 @t20))) % 34.18/34.95 (assume @p218 (forall @t15 (=> @t233 (exists @t13 (and (tptp.element @t2 (tptp.powerset @t44)) @t204))))) % 34.18/34.95 (assume @p219 (forall @t206 (=> @t205 (= @t202 (tptp.apply_binary @t60 @t72 @t141))))) % 34.18/34.95 (assume @p220 @t256) % 34.18/34.95 (assume @p221 (forall @t29 (=> @t57 (= @t54 @t134)))) % 34.18/34.95 (assume @p222 (forall @t29 (=> @t124 (= @t112 @t170)))) % 34.18/34.95 (assume @p223 (forall @t29 (=> @t124 (= @t211 @t169)))) % 34.18/34.95 (assume @p224 (forall @t6 (=> @t199 (= @t212 @t249)))) % 34.18/34.95 (assume @p225 (forall @t6 (=> @t199 (= @t214 (tptp.set_meet @t2))))) % 34.18/34.95 (assume @p226 (forall @t29 (=> @t217 (= @t215 @t257)))) % 34.18/34.95 (assume @p227 (forall @t29 (= @t113 @t124))) % 34.18/34.95 (assume @p228 (forall @t6 (=> @t59 (= @t58 @t70)))) % 34.18/34.95 (assume @p229 (forall @t6 (= @t174 (tptp.are_equipotent @t1 @t2)))) % 34.18/34.95 (assume @p230 (forall @t6 (=> @t59 (tptp.ordinal_subset @t1 @t1)))) % 34.18/34.95 (assume @p231 (forall @t6 (tptp.subset @t1 @t1))) % 34.18/34.95 (assume @p232 (forall @t6 (tptp.equipotent @t1 @t1))) % 34.18/34.95 (assume @p233 (forall @t6 (=> @t275 (=> @t274 (exists @t90 (and @t26 @t173 (forall @t77 (= @t76 (and @t127 @t127 (exists @t262 (and (= @t60 @t259) (tptp.in @t72 @t259) (forall @t261 (=> @t260 (tptp.in (tptp.ordered_pair @t72 @t258) @t2)))))))))))))) % 34.18/34.95 (assume @p234 (forall @t15 (=> @t278 (exists @t13 (and @t68 @t103 (forall @t65 (= @t64 (and @t62 @t62 (= @t60 @t246))))))))) % 34.18/34.95 (assume @p235 (forall @t15 (=> (exists @t13 (and @t9 @t3)) (exists @t13 (and @t9 @t3 (forall @t90 (=> @t279 (=> @t62 (tptp.ordinal_subset @t2 @t25))))))))) % 34.18/34.95 (assume @p236 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t15 (=> (tptp.element @t1 (tptp.powerset @t303)) (not (and @t128 (forall @t13 (not (and @t3 (forall @t90 (=> (and @t62 @t302) (= @t25 @t2))))))))))) (forall @t84 (=> @t286 (=> @t301 (=> (tptp.in @t300 tptp.omega) (forall @t268 (=> (tptp.element @t265 (tptp.powerset (tptp.powerset @t300))) (not (and (not (= @t265 tptp.empty_set)) (forall @t267 (not (and @t266 (forall @t262 (=> (and (tptp.in @t259 @t265) (tptp.subset @t264 @t259)) (= @t259 @t264)))))))))))))) (forall @t84 (=> @t286 (=> (and (tptp.being_limit_ordinal @t60) (forall @t261 (=> (tptp.ordinal @t258) (=> (tptp.in @t258 @t60) (=> (tptp.in @t258 tptp.omega) (forall @t299 (=> (tptp.element @t295 (tptp.powerset (tptp.powerset @t258))) (not (and (not (= @t295 tptp.empty_set)) (forall @t298 (not (and @t297 (forall @t296 (=> (and (tptp.in @t294 @t295) (tptp.subset @t293 @t294)) (= @t294 @t293))))))))))))))) (or (= @t60 tptp.empty_set) (=> @t285 (forall @t292 (=> (tptp.element @t289 @t283) (not (and (not (= @t289 tptp.empty_set)) (forall @t291 (not (and (tptp.in @t287 @t289) (forall @t290 (=> (and (tptp.in @t288 @t289) (tptp.subset @t287 @t288)) (= @t288 @t287)))))))))))))))) (forall @t84 (=> @t286 (=> @t285 (forall @t284 (=> (tptp.element @t282 @t283) (not (and (not (= @t282 tptp.empty_set)) (forall (@list @t280) (not (and (tptp.in @t280 @t282) (forall (@list @t281) (=> (and (tptp.in @t281 @t282) (tptp.subset @t280 @t281)) (= @t281 @t280))))))))))))))) % 34.18/34.95 (assume @p237 (forall @t29 (=> @t307 (exists @t84 (and @t306 (forall @t144 (= (tptp.in @t142 @t60) (and @t88 @t305 (tptp.in (tptp.ordered_pair @t187 @t304) @t2))))))))) % 34.18/34.95 (assume @p238 (forall @t6 (=> @t275 (=> @t274 (exists @t90 (forall @t84 (= @t83 (exists @t82 (and @t88 @t88 (exists @t262 (and (= @t72 @t259) @t309 @t308))))))))))) % 34.18/34.95 (assume @p239 (forall @t6 (=> @t275 (forall @t90 (=> (forall @t320 (=> (and @t263 (exists @t319 (and (= @t318 @t72) @t317 (exists @t267 (and (= @t270 @t264) (tptp.in @t265 @t264) (forall @t262 (=> @t316 (tptp.in (tptp.ordered_pair @t265 @t259) @t2))))))) @t315 (exists @t314 (and (= @t313 @t141) (tptp.in @t258 @t1) (exists @t298 (and (= @t258 @t293) (tptp.in @t295 @t293) (forall @t296 (=> (tptp.in @t294 @t293) (tptp.in (tptp.ordered_pair @t295 @t294) @t2)))))))) @t312)) (exists @t84 (forall @t82 (= @t99 (exists @t194 (and (tptp.in @t141 @t311) @t310 (exists (@list @t289 @t287) (and (= (tptp.ordered_pair @t289 @t287) @t72) (tptp.in @t289 @t1) (exists @t290 (and (= @t289 @t288) (tptp.in @t287 @t288) (forall @t284 (=> (tptp.in @t282 @t288) (tptp.in (tptp.ordered_pair @t287 @t282) @t2))))))))))))))))) % 34.18/34.95 (assume @p240 (forall @t15 (=> @t278 (exists @t13 (forall @t90 (= @t122 (exists @t84 (and @t127 @t127 (= @t25 (tptp.singleton @t60)))))))))) % 34.18/34.95 (assume @p241 (forall @t6 (=> (forall @t196 (=> (and @t61 (exists @t325 (and (= @t324 @t60) @t305 (= @t270 (tptp.singleton @t141)))) @t323 (exists (@list @t265 @t264) (and (= (tptp.ordered_pair @t265 @t264) @t72) @t322 (= @t264 (tptp.singleton @t265))))) @t263)) (exists @t90 (forall @t84 (= @t83 (exists @t82 (and (tptp.in @t72 @t27) @t321 (exists (@list @t259 @t258) (and (= (tptp.ordered_pair @t259 @t258) @t60) (tptp.in @t259 @t1) (= @t258 (tptp.singleton @t259)))))))))))) % 34.18/34.95 (assume @p242 (forall @t15 (=> @t14 (=> (forall @t107 (=> (and @t117 (exists @t82 (and @t328 @t323 (=> (tptp.in @t72 tptp.omega) (forall @t194 (=> (tptp.element @t141 (tptp.powerset (tptp.powerset @t72))) @t327))))) @t135 (exists @t267 (and (tptp.ordinal @t264) (= @t60 @t264) (=> (tptp.in @t264 tptp.omega) (forall @t262 (=> (tptp.element @t259 (tptp.powerset (tptp.powerset @t264))) (not (and (not (= @t259 tptp.empty_set)) (forall @t261 (not (and @t260 (forall @t299 (=> (and (tptp.in @t295 @t259) (tptp.subset @t258 @t295)) (= @t295 @t258)))))))))))))) @t61)) (exists @t13 (forall @t90 (= @t122 (exists @t84 (and (tptp.in @t60 @t121) @t326 (exists @t298 (and (tptp.ordinal @t293) (= @t25 @t293) (=> (tptp.in @t293 tptp.omega) (forall @t296 (=> (tptp.element @t294 (tptp.powerset (tptp.powerset @t293))) (not (and (not (= @t294 tptp.empty_set)) (forall @t292 (not (and (tptp.in @t289 @t294) (forall @t291 (=> (and (tptp.in @t287 @t294) (tptp.subset @t289 @t287)) (= @t287 @t289)))))))))))))))))))))) % 34.18/34.95 (assume @p243 (forall @t6 (=> @t329 (=> (forall @t196 (=> (and @t61 (exists @t194 (and @t143 (= @t60 (tptp.set_difference @t141 @t120)))) @t323 (exists @t272 (and (tptp.in @t270 @t2) (= @t72 (tptp.set_difference @t270 @t120))))) @t263)) (exists @t90 (forall @t84 (= @t83 (exists @t82 (and (tptp.in @t72 @t33) @t321 (exists @t268 (and (tptp.in @t265 @t2) (= @t60 (tptp.set_difference @t265 @t120))))))))))))) % 34.18/34.95 (assume @p244 (forall @t29 (=> @t307 (=> (forall @t320 (=> (and @t263 (exists @t319 (and (= @t72 @t318) (tptp.in (tptp.ordered_pair @t331 (tptp.apply @t25 @t265)) @t2))) @t315 (exists (@list @t264 @t259) (and (= @t141 (tptp.ordered_pair @t264 @t259)) (tptp.in (tptp.ordered_pair (tptp.apply @t25 @t264) (tptp.apply @t25 @t259)) @t2)))) @t312)) (exists @t84 (forall @t82 (= @t99 (exists @t194 (and (tptp.in @t141 @t330) @t310 (exists @t314 (and (= @t72 @t313) (tptp.in (tptp.ordered_pair (tptp.apply @t25 @t258) (tptp.apply @t25 @t295)) @t2)))))))))))) % 34.18/34.95 (assume @p245 (forall @t15 (=> (forall @t107 (=> (and @t117 @t279 @t135 @t286) @t61)) (exists @t13 (forall @t90 (= @t122 (exists @t84 (and @t127 @t326 @t279)))))))) % 34.18/34.95 (assume @p246 (forall @t29 (=> @t334 (=> (forall @t320 (=> (and @t263 @t332 @t315 (tptp.in (tptp.relation_image @t25 @t141) @t2)) @t312)) (exists @t84 (forall @t82 (= @t99 (exists @t194 (and (tptp.in @t141 @t333) @t310 @t332))))))))) % 34.18/34.95 (assume @p247 (forall @t6 (=> @t9 (=> (forall @t196 (=> (and @t61 (exists @t194 (and (tptp.ordinal @t141) @t315 @t305)) @t323 (exists @t272 (and (tptp.ordinal @t270) (= @t72 @t270) @t317))) @t263)) (exists @t90 (forall @t84 (= @t83 (exists @t82 (and (tptp.in @t72 @t335) @t321 (exists @t268 (and (tptp.ordinal @t265) (= @t60 @t265) @t322))))))))))) % 34.18/34.95 (assume @p248 (forall @t6 (=> @t275 (forall @t90 (exists @t84 (forall @t82 (= @t99 (and (tptp.in @t72 @t311) (exists @t325 (and (= @t324 @t72) @t305 (exists @t268 (and (= @t141 @t265) (tptp.in @t270 @t265) (forall @t267 (=> @t266 (tptp.in (tptp.ordered_pair @t270 @t264) @t2))))))))))))))) % 34.18/34.95 (assume @p249 (forall @t6 (exists @t90 (forall @t84 (= @t83 (and (tptp.in @t60 @t27) (exists @t144 (and (= @t142 @t60) @t88 (= @t141 (tptp.singleton @t72)))))))))) % 34.18/34.95 (assume @p250 (forall @t15 (=> @t14 (exists @t13 (forall @t90 (= @t122 (and (tptp.in @t25 @t121) (exists @t84 (and @t286 @t61 @t301))))))))) % 34.18/34.95 (assume @p251 (forall @t6 (=> @t329 (exists @t90 (forall @t84 (= @t83 (and (tptp.in @t60 @t33) (exists @t82 (and @t80 (= @t60 (tptp.set_difference @t72 @t120))))))))))) % 34.18/34.95 (assume @p252 (forall @t29 (=> @t307 (exists @t84 (forall @t82 (= @t99 (and (tptp.in @t72 @t330) (exists @t325 (and (= @t72 @t324) (tptp.in (tptp.ordered_pair @t304 @t331) @t2)))))))))) % 34.18/34.95 (assume @p253 (forall @t15 (exists @t13 (forall @t90 (= @t122 (and @t62 @t279)))))) % 34.18/34.95 (assume @p254 (forall @t29 (=> @t334 (exists @t84 (forall @t82 (= @t99 (and (tptp.in @t72 @t333) @t332))))))) % 34.18/34.95 (assume @p255 (forall @t6 (=> @t9 (exists @t90 (forall @t84 (= @t83 (and (tptp.in @t60 @t335) (exists @t82 (and @t328 @t263 @t88))))))))) % 34.18/34.95 (assume @p256 (forall @t6 (=> @t275 (=> (and (forall @t196 (=> (and @t62 @t273 @t269) @t263)) (forall @t90 (not (and @t62 (forall @t84 (not (exists @t262 (and (= @t25 @t259) @t309 @t308)))))))) (exists @t90 (and @t26 @t173 @t171 (forall @t84 (=> @t127 (exists @t299 (and (= @t60 @t295) (tptp.in @t188 @t295) (forall @t298 (=> @t297 (tptp.in (tptp.ordered_pair @t188 @t293) @t2))))))))))))) % 34.18/34.95 (assume @p257 (forall @t15 (=> (and (forall @t107 (=> (and @t3 @t277 @t276) @t61)) (forall @t13 (not (and @t3 (forall @t90 (not @t277)))))) @t338))) % 34.18/34.95 (assume @p258 (=> (forall @t15 (=> @t14 (=> (forall @t13 (=> @t9 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t90 (=> (tptp.element @t25 (tptp.powerset @t210)) (not (and @t157 (forall @t84 (not (and @t83 (forall @t82 (=> (and (tptp.in @t72 @t25) (tptp.subset @t60 @t72)) @t321))))))))))))) (=> @t339 (forall @t194 (=> (tptp.element @t141 @t198) @t327)))))) (forall @t15 (=> @t14 (=> @t339 (forall @t267 (=> (tptp.element @t264 @t198) (not (and (not (= @t264 tptp.empty_set)) (forall @t262 (not (and @t316 (forall @t261 (=> (and (tptp.in @t258 @t264) (tptp.subset @t259 @t258)) (= @t258 @t259))))))))))))))) % 34.18/34.95 (assume @p259 (forall @t15 @t338)) % 34.18/34.95 (assume @p260 (forall @t6 (=> @t191 (tptp.disjoint @t2 @t1)))) % 34.18/34.95 (assume @p261 (forall @t6 (=> @t174 (tptp.equipotent @t2 @t1)))) % 34.18/34.95 (assume @p262 (forall @t15 (tptp.in @t1 @t121))) % 34.18/34.95 (assume @p263 (forall @t100 (not (and (= @t39 (tptp.unordered_pair @t25 @t60)) (not @t340) (not (= @t1 @t60)))))) % 34.18/34.95 (assume @p264 (forall @t29 (=> @t26 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t25))) (and @t5 (tptp.in @t1 @t169)))))) % 34.18/34.95 (assume @p265 (forall @t6 (=> @t68 (tptp.subset @t341 @t1)))) % 34.18/34.95 (assume @p266 (forall @t6 (=> @t68 (tptp.subset @t89 @t2)))) % 34.18/34.95 (assume @p267 (forall @t6 (=> @t68 (tptp.subset @t341 @t102)))) % 34.18/34.95 (assume @p268 (forall @t29 (=> @t70 (and (tptp.subset @t311 (tptp.cartesian_product2 @t2 @t25)) (tptp.subset (tptp.cartesian_product2 @t25 @t1) (tptp.cartesian_product2 @t25 @t2)))))) % 34.18/34.95 (assume @p269 (forall @t6 (=> @t68 (= @t341 (tptp.set_intersection2 @t102 @t1))))) % 34.18/34.95 (assume @p270 (forall @t100 (=> (and @t70 @t130) (tptp.subset @t311 (tptp.cartesian_product2 @t2 @t60))))) % 34.18/34.95 (assume @p271 (forall @t29 (=> @t113 (and (tptp.subset @t170 @t1) (tptp.subset @t169 @t2))))) % 34.18/34.95 (assume @p272 (forall @t6 (=> @t70 (= @t41 @t2)))) % 34.18/34.95 (assume @p273 (forall @t15 (exists @t13 (and @t5 @t344 (forall @t90 (=> @t122 (tptp.in @t343 @t2))) @t342)))) % 34.18/34.95 (assume @p274 (forall @t6 (=> (and @t70 @t32) @t16))) % 34.18/34.95 (assume @p275 (forall @t29 (=> @t26 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t25) @t2) (tptp.relation_rng_restriction @t1 @t345))))) % 34.18/34.95 (assume @p276 (forall @t29 (=> @t26 (= (tptp.in @t1 (tptp.relation_image @t25 @t2)) (exists @t84 (and (tptp.in @t60 @t170) (tptp.in (tptp.ordered_pair @t60 @t1) @t25) @t75)))))) % 34.18/34.95 (assume @p277 (forall @t6 (=> @t68 (tptp.subset @t346 @t102)))) % 34.18/34.95 (assume @p278 (forall @t6 (=> @t237 (tptp.subset @t348 @t1)))) % 34.18/34.95 (assume @p279 (forall @t6 (=> @t68 (= @t346 (tptp.relation_image @t2 @t349))))) % 34.18/34.95 (assume @p280 (forall @t6 (=> @t68 (=> (tptp.subset @t1 @t101) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t346)))))) % 34.18/34.95 (assume @p281 (forall @t15 (=> @t24 (= (tptp.relation_image @t1 @t81) @t177)))) % 34.18/34.95 (assume @p282 (forall @t6 (=> @t237 (=> @t350 (= @t348 @t1))))) % 34.18/34.95 (assume @p283 (forall @t100 (=> @t353 (=> (tptp.subset @t352 @t2) @t351)))) % 34.18/34.95 (assume @p284 (forall @t15 (=> @t24 (forall @t13 (=> @t68 (= @t354 (tptp.relation_image @t2 @t177))))))) % 34.18/34.95 (assume @p285 (forall @t29 (=> @t26 (= (tptp.in @t1 @t355) (exists @t84 (and (tptp.in @t60 @t169) (tptp.in (tptp.ordered_pair @t1 @t60) @t25) @t75)))))) % 34.18/34.95 (assume @p286 (forall @t6 (=> @t68 (tptp.subset @t347 @t101)))) % 34.18/34.95 (assume @p287 (forall @t100 (=> @t353 (=> @t70 @t351)))) % 34.18/34.95 (assume @p288 (forall @t29 (=> @t26 (= (tptp.in @t1 @t356) (and @t250 (tptp.in @t1 @t184)))))) % 34.18/34.95 (assume @p289 (forall @t6 (=> @t68 (not (and @t128 @t350 (= @t347 tptp.empty_set)))))) % 34.18/34.95 (assume @p290 (forall @t29 (=> @t26 (=> @t70 (tptp.subset (tptp.relation_inverse_image @t25 @t1) @t355))))) % 34.18/34.95 (assume @p291 (forall @t6 (=> @t237 (=> @t16 (tptp.finite @t346))))) % 34.18/34.95 (assume @p292 (forall @t6 (=> @t68 (= @t357 (tptp.relation_dom_restriction @t89 @t1))))) % 34.18/34.95 (assume @p293 (forall @t6 (tptp.subset @t53 @t1))) % 34.18/34.95 (assume @p294 (forall @t15 (=> @t16 (forall @t13 (=> @t199 (not (and @t139 (forall @t90 (not (and @t122 (forall @t84 (=> (and @t75 @t130) @t326)))))))))))) % 34.18/34.95 (assume @p295 (forall @t6 (=> @t68 (= @t357 (tptp.relation_rng_restriction @t1 @t358))))) % 34.18/34.95 (assume @p296 (forall @t29 (=> @t26 (=> (tptp.in @t1 (tptp.relation_field @t356)) (and @t360 @t5))))) % 34.18/34.95 (assume @p297 (forall @t29 (=> (and @t70 @t362) (tptp.subset @t1 @t361)))) % 34.18/34.95 (assume @p298 (forall @t15 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 34.18/34.95 (assume @p299 (forall @t6 (=> @t5 @t363))) % 34.18/34.95 (assume @p300 (forall @t29 (=> (and @t70 @t302) @t362))) % 34.18/34.95 (assume @p301 (= @t303 (tptp.singleton tptp.empty_set))) % 34.18/34.95 (assume @p302 (forall @t29 (=> @t26 (=> @t365 (and @t364 (tptp.in @t2 @t169)))))) % 34.18/34.95 (assume @p303 (forall @t6 (=> @t68 (and (tptp.subset @t366 @t131) (tptp.subset @t366 @t1))))) % 34.18/34.95 (assume @p304 (forall @t6 (=> @t237 (forall @t90 (=> @t190 (= @t369 (and @t364 (tptp.in @t367 @t101)))))))) % 34.18/34.95 (assume @p305 (forall @t100 (=> @t371 (forall @t82 (=> (and (tptp.relation @t72) (tptp.function @t72)) (=> @t62 (or @t111 (= (tptp.apply (tptp.relation_composition @t60 @t72) @t25) (tptp.apply @t72 @t370))))))))) % 34.18/34.95 (assume @p306 (forall @t15 (=> @t22 (forall @t13 (=> @t9 (=> @t8 @t5)))))) % 34.18/34.95 (assume @p307 (forall @t15 (=> @t24 (tptp.subset @t1 (tptp.cartesian_product2 @t81 @t177))))) % 34.18/34.95 (assume @p308 (forall @t29 (=> @t26 (tptp.subset (tptp.fiber (tptp.relation_restriction @t25 @t1) @t2) (tptp.fiber @t25 @t2))))) % 34.18/34.95 (assume @p309 (forall @t6 (=> @t237 (forall @t90 (=> @t190 (=> @t369 (= (tptp.apply @t368 @t1) (tptp.apply @t2 @t367)))))))) % 34.18/34.95 (assume @p310 (forall @t29 (=> (tptp.relation_of2_as_subset @t25 @t2 @t1) (= (forall @t84 (not (and @t75 (forall @t82 (not @t76))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t25) @t2))))) % 34.18/34.95 (assume @p311 (forall @t6 (=> @t68 (=> @t372 (tptp.reflexive @t357))))) % 34.18/34.95 (assume @p312 (forall @t6 (=> @t237 (forall @t90 (=> @t190 (=> (tptp.in @t1 @t101) (= (tptp.apply (tptp.relation_composition @t2 @t25) @t1) (tptp.apply @t25 (tptp.apply @t2 @t1))))))))) % 34.18/34.95 (assume @p313 (forall @t15 (=> (and @t50 @t56 @t192 @t193) (forall @t13 (=> @t46 (forall @t90 (=> @t45 (tptp.below @t1 @t54 @t2)))))))) % 34.18/34.95 (assume @p314 (forall @t6 (=> @t9 (=> @t5 @t14)))) % 34.18/34.95 (assume @p315 (forall @t29 (=> @t113 (= (forall @t84 (not (and @t75 (forall @t82 (not (tptp.in @t96 @t25)))))) (= @t211 @t2))))) % 34.18/34.95 (assume @p316 (forall @t6 (=> @t68 (=> @t373 (tptp.connected @t357))))) % 34.18/34.95 (assume @p317 (forall @t15 (=> @t14 (forall @t13 (=> @t9 (not (and @t243 @t200 @t4))))))) % 34.18/34.95 (assume @p318 (forall @t6 (=> @t68 (=> @t374 (tptp.transitive @t357))))) % 34.18/34.95 (assume @p319 (forall @t15 (=> @t24 (forall @t13 (=> @t68 (=> @t70 (and (tptp.subset @t81 @t101) (tptp.subset @t177 @t102)))))))) % 34.18/34.95 (assume @p320 (forall @t6 (=> @t68 (=> @t375 (tptp.antisymmetric @t357))))) % 34.18/34.95 (assume @p321 (forall @t6 (=> @t68 (=> @t378 (and @t377 @t376))))) % 34.18/34.95 (assume @p322 (forall @t15 (=> @t87 (=> (tptp.finite @t81) (tptp.finite @t177))))) % 34.18/34.95 (assume @p323 @t388) % 34.18/34.95 (assume @p324 (forall @t15 (exists @t13 (and @t68 @t378)))) % 34.18/34.95 (assume @p325 (forall @t29 (=> @t70 (tptp.subset (tptp.set_intersection2 @t1 @t25) @t361)))) % 34.18/34.95 (assume @p326 (forall @t15 (=> @t138 (not (and (forall @t13 (not (and @t3 @t111))) (forall @t13 (=> @t237 (not (and @t337 (forall @t90 (=> @t62 (tptp.in @t336 @t25)))))))))))) % 34.18/34.95 (assume @p327 (forall @t6 (=> @t70 (= @t53 @t1)))) % 34.18/34.95 (assume @p328 (forall @t15 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 34.18/34.95 (assume @p329 (forall @t6 (=> @t363 (or @t137 @t5)))) % 34.18/34.95 (assume @p330 (forall @t6 (=> (forall @t90 (= @t62 @t122)) @t71))) % 34.18/34.95 (assume @p331 (forall @t15 (tptp.reflexive @t132))) % 34.18/34.95 (assume @p332 (forall @t15 (tptp.subset tptp.empty_set @t1))) % 34.18/34.95 (assume @p333 (forall @t29 (=> @t26 (=> @t365 (and @t360 (tptp.in @t2 @t359)))))) % 34.18/34.95 (assume @p334 (forall @t15 (=> (forall @t13 (=> @t3 (and @t9 @t69))) @t14))) % 34.18/34.95 (assume @p335 (forall @t6 (=> @t68 (=> @t389 (tptp.well_founded_relation @t357))))) % 34.18/34.95 (assume @p336 (forall @t6 (=> @t9 (not (and @t70 @t128 (forall @t90 (=> @t279 (not (and @t62 (forall @t84 (=> @t286 (=> @t127 (tptp.ordinal_subset @t25 @t60))))))))))))) % 34.18/34.95 (assume @p337 (forall @t6 (=> @t68 (=> @t244 @t376)))) % 34.18/34.95 (assume @p338 (forall @t15 (=> @t14 (forall @t13 (=> @t9 (= @t5 (tptp.ordinal_subset @t121 @t2))))))) % 34.18/34.95 (assume @p339 (forall @t29 (=> @t70 (tptp.subset (tptp.set_difference @t1 @t25) @t257)))) % 34.18/34.95 (assume @p340 (forall @t100 (=> (= @t181 @t63) (and @t340 @t135)))) % 34.18/34.95 (assume @p341 (forall @t6 (=> @t237 (= @t67 (and @t337 (forall @t90 (=> @t62 (= @t336 @t25)))))))) % 34.18/34.95 (assume @p342 (forall @t6 (=> @t3 (= (tptp.apply @t66 @t2) @t2)))) % 34.18/34.95 (assume @p343 (forall @t6 (tptp.subset @t175 @t1))) % 34.18/34.95 (assume @p344 (forall @t15 (=> @t24 (and (= @t177 (tptp.relation_dom @t186)) (= @t81 (tptp.relation_rng @t186)))))) % 34.18/34.95 (assume @p345 (forall @t29 (= (tptp.subset @t39 @t25) (and @t250 @t155)))) % 34.18/34.95 (assume @p346 (forall @t6 (=> @t68 (=> (and @t244 (tptp.subset @t1 @t131)) @t377)))) % 34.18/34.95 (assume @p347 (forall @t6 (= @t390 @t41))) % 34.18/34.95 (assume @p348 (forall @t15 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 34.18/34.95 (assume @p349 (forall @t29 (not (and @t5 @t155 @t62)))) % 34.18/34.95 (assume @p350 (forall @t6 (= @t251 @t70))) % 34.18/34.95 (assume @p351 (forall @t15 (tptp.transitive @t132))) % 34.18/34.95 (assume @p352 (forall @t6 (and (not (and @t392 (forall @t90 (not @t391)))) (not (and (exists @t90 @t391) @t191))))) % 34.18/34.95 (assume @p353 (forall @t15 (=> (tptp.subset @t1 tptp.empty_set) @t110))) % 34.18/34.95 (assume @p354 (forall @t6 (= (tptp.set_difference @t41 @t2) @t175))) % 34.18/34.95 (assume @p355 (forall @t15 (=> @t14 (= @t179 (forall @t13 (=> @t9 (=> @t3 (tptp.in @t335 @t1)))))))) % 34.18/34.95 (assume @p356 (forall @t15 (=> @t14 (and (not (and (not @t179) (forall @t13 (=> @t9 (not @t393))))) (not (and (exists @t13 (and @t9 @t393)) @t179)))))) % 34.18/34.95 (assume @p357 (forall @t6 (=> @t34 (forall @t90 (=> @t216 (= @t395 (tptp.subset @t2 @t394))))))) % 34.18/34.95 (assume @p358 (forall @t15 (=> @t24 (forall @t13 (=> @t68 (tptp.subset @t396 @t81)))))) % 34.18/34.95 (assume @p359 (forall @t15 (=> @t24 (forall @t13 (=> @t68 (tptp.subset @t354 @t102)))))) % 34.18/34.95 (assume @p360 (forall @t6 (=> @t70 (= @t2 @t390)))) % 34.18/34.95 (assume @p361 (forall @t100 (=> @t371 (=> @t139 (forall @t82 (= (tptp.in @t72 (tptp.relation_inverse_image @t60 @t25)) (and @t88 (tptp.in (tptp.apply @t60 @t72) @t25)))))))) % 34.18/34.95 (assume @p362 (forall @t15 (=> @t24 (forall @t13 (=> @t68 (=> (tptp.subset @t177 @t101) (= @t396 @t81))))))) % 34.18/34.95 (assume @p363 (forall @t6 (=> @t199 (not (and @t139 (= @t197 tptp.empty_set)))))) % 34.18/34.95 (assume @p364 (forall @t15 (=> @t24 (forall @t13 (=> @t68 (=> (tptp.subset @t81 @t102) (= (tptp.relation_rng @t223) @t177))))))) % 34.18/34.95 (assume @p365 (forall @t6 (=> @t199 (=> @t139 (= (tptp.subset_difference @t1 @t165 @t212) (tptp.meet_of_subsets @t1 @t197)))))) % 34.18/34.95 (assume @p366 (forall @t6 (=> @t199 (=> @t139 (= (tptp.union_of_subsets @t1 @t197) (tptp.subset_difference @t1 @t165 @t214)))))) % 34.18/34.95 (assume @p367 (forall @t6 (= (tptp.set_difference @t1 @t175) @t53))) % 34.18/34.95 (assume @p368 (forall @t15 (=> @t24 (forall @t13 (=> @t68 (forall @t90 (=> @t190 (=> @t189 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t25)))))))))) % 34.18/34.95 (assume @p369 (forall @t15 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 34.18/34.95 (assume @p370 (forall @t29 (=> (and @t5 @t397) (tptp.element @t1 @t25)))) % 34.18/34.95 (assume @p371 (forall @t15 (=> @t14 (tptp.connected @t132)))) % 34.18/34.95 (assume @p372 (forall @t6 (and (not (and @t392 (forall @t90 (not @t398)))) (not (and (exists @t90 @t398) @t191))))) % 34.18/34.95 (assume @p373 (forall @t15 (=> @t128 (forall @t13 (=> @t34 (forall @t90 (=> (tptp.element @t25 @t1) (=> @t153 (tptp.in @t25 @t180))))))))) % 34.18/34.95 (assume @p374 (forall @t15 (=> @t24 (forall @t13 (=> @t68 (forall @t90 (=> @t190 (=> @t189 (and (=> @t167 @t372) (=> @t98 @t374) (=> @t97 @t373) (=> @t92 @t375) (=> @t140 @t389)))))))))) % 34.18/34.95 (assume @p375 (forall @t15 (=> @t87 (=> @t35 (forall @t13 (=> @t237 (= (= @t2 @t201) (and (= @t101 @t177) (forall @t65 (and (=> @t399 @t176) (=> @t176 @t399))))))))))) % 34.18/34.95 (assume @p376 (forall @t29 (=> @t216 (not (and (tptp.in @t2 @t394) @t155))))) % 34.18/34.95 (assume @p377 (forall @t15 (=> @t24 (forall @t13 (=> @t68 (forall @t90 (=> @t190 (=> (and @t168 @t189) @t244)))))))) % 34.18/34.95 (assume @p378 (forall @t15 (=> @t87 (=> @t35 (and (= @t177 (tptp.relation_dom @t201)) (= @t81 (tptp.relation_rng @t201))))))) % 34.18/34.95 (assume @p379 (forall @t15 (=> @t24 (=> (forall @t79 @t247) @t110)))) % 34.18/34.95 (assume @p380 (forall @t6 (=> @t237 (=> (and @t254 (tptp.in @t1 @t102)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t400 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t400 @t2) @t1))))))) % 34.18/34.95 (assume @p381 (forall @t29 (not (and @t5 @t397 (tptp.empty @t25))))) % 34.18/34.95 (assume @p382 (forall @t15 (=> @t24 (= @t140 (tptp.is_well_founded_in @t1 @t91))))) % 34.18/34.95 (assume @p383 (forall @t15 (tptp.antisymmetric @t132))) % 34.18/34.95 (assume @p384 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 34.18/34.95 (assume @p385 (forall @t6 (not (and @t70 @t7)))) % 34.18/34.95 (assume @p386 (forall @t15 (=> @t87 (=> @t35 (tptp.one_to_one @t201))))) % 34.18/34.95 (assume @p387 (forall @t29 (=> (and @t70 @t395) (tptp.disjoint @t1 @t25)))) % 34.18/34.95 (assume @p388 (forall @t15 (=> @t24 (=> (or @t402 @t401) @t110)))) % 34.18/34.95 (assume @p389 (forall @t15 (=> @t24 (= @t402 @t401)))) % 34.18/34.95 (assume @p390 (forall @t6 (= (= (tptp.set_difference @t1 @t248) @t1) @t4))) % 34.18/34.95 (assume @p391 (forall @t6 (=> @t237 (forall @t90 (=> @t190 (= (= @t2 @t252) (and (= @t101 (tptp.set_intersection2 @t170 @t1)) (forall @t84 (=> (tptp.in @t60 @t101) (= (tptp.apply @t2 @t60) @t188)))))))))) % 34.18/34.95 (assume @p392 (forall @t15 (= (tptp.unordered_pair @t1 @t1) @t120))) % 34.18/34.95 (assume @p393 (forall @t15 (=> @t17 @t110))) % 34.18/34.95 (assume @p394 (forall @t100 (=> @t371 (=> @t62 (or @t111 (tptp.in @t370 @t352)))))) % 34.18/34.95 (assume @p395 (forall @t15 (=> @t14 (tptp.well_founded_relation @t132)))) % 34.18/34.95 (assume @p396 (forall @t6 (=> (tptp.subset @t120 @t248) @t71))) % 34.18/34.95 (assume @p397 (forall @t29 (=> @t190 (=> @t253 @t403)))) % 34.18/34.95 (assume @p398 (forall @t15 (and (= (tptp.relation_dom @t66) @t1) (= (tptp.relation_rng @t66) @t1)))) % 34.18/34.95 (assume @p399 (forall @t29 (=> @t190 (=> @t3 @t403)))) % 34.18/34.95 (assume @p400 (forall @t100 (=> @t306 (= (tptp.in @t181 (tptp.relation_composition (tptp.identity_relation @t25) @t60)) (and @t250 (tptp.in @t181 @t60)))))) % 34.18/34.95 (assume @p401 (forall @t6 (not (and @t5 @t137)))) % 34.18/34.95 (assume @p402 (forall @t6 (and (= (tptp.pair_first @t181) @t1) (= (tptp.pair_second @t181) @t2)))) % 34.18/34.95 (assume @p403 (forall @t6 (not (and @t5 (forall @t90 (not (and @t122 (forall @t84 (not (and @t75 @t83)))))))))) % 34.18/34.95 (assume @p404 (forall @t15 (=> @t14 (tptp.well_ordering @t132)))) % 34.18/34.95 (assume @p405 (forall @t6 (tptp.subset @t1 @t41))) % 34.18/34.95 (assume @p406 (forall @t6 (= @t191 (= @t175 @t1)))) % 34.18/34.95 (assume @p407 (forall @t29 (=> @t26 (= (tptp.in @t1 (tptp.relation_dom @t345)) (and @t5 @t364))))) % 34.18/34.95 (assume @p408 (forall @t6 (=> @t68 (tptp.subset @t358 @t2)))) % 34.18/34.95 (assume @p409 (forall @t6 (not (and @t17 @t200 @t137)))) % 34.18/34.95 (assume @p410 (forall @t29 (=> @t190 (= @t365 (and @t364 (= @t2 @t367)))))) % 34.18/34.95 (assume @p411 (forall @t15 (=> @t24 (= (tptp.well_orders @t1 @t91) @t168)))) % 34.18/34.95 (assume @p412 (forall @t29 (=> (and @t70 @t158) (tptp.subset (tptp.set_union2 @t1 @t25) @t2)))) % 34.18/34.95 (assume @p413 (forall @t29 (=> @t404 @t71))) % 34.18/34.95 (assume @p414 (forall @t6 (=> @t68 (= (tptp.relation_dom @t358) @t349)))) % 34.18/34.95 (assume @p415 (forall @t6 (=> @t68 (= @t358 (tptp.relation_composition @t66 @t2))))) % 34.18/34.95 (assume @p416 (forall @t6 (=> @t68 (tptp.subset (tptp.relation_rng @t358) @t102)))) % 34.18/34.95 (assume @p417 (forall @t15 (= (tptp.union @t33) @t1))) % 34.18/34.95 (assume @p418 (forall @t100 (=> @t371 (=> @t302 (or (and @t111 @t128) (and @t203 (tptp.quasi_total @t60 @t1 @t25) (tptp.relation_of2_as_subset @t60 @t1 @t25))))))) % 34.18/34.95 (assume @p419 (forall @t15 (exists @t13 (and @t5 @t344 (forall @t90 (not (and @t122 (forall @t84 (not (and @t75 (forall @t82 (=> (tptp.subset @t72 @t25) @t99)))))))) @t342)))) % 34.18/34.95 (assume @p420 (forall @t29 (=> @t404 @t117))) % 34.18/34.95 (step @p421 :rule evaluate :args ((= false true))) % 34.18/34.95 (step @p422 :rule aci_norm :args ((= (or @t409 @t43) (or @t49 @t408 @t407 @t406 @t405 @t43)))) % 34.18/34.95 (step @p423 :rule refl :args (@t43)) % 34.18/34.95 (step @p424 :rule refl :args (@t405)) % 34.18/34.95 (step @p425 :rule refl :args (@t406)) % 34.18/34.95 (step @p426 :rule refl :args (@t407)) % 34.18/34.95 (step @p427 :rule refl :args (@t408)) % 34.18/34.95 (step @p428 :rule bool-double-not-elim :args (@t49)) % 34.18/34.95 (step @p429 :rule nary_cong :premises (@p428 @p427 @p426 @p425 @p424) :args (@t411)) % 34.18/34.95 (step @p430 :rule aci_norm :args ((= (or @t410 (or @t408 (or @t407 (or @t406 @t405)))) @t411))) % 34.18/34.95 (step @p431 :rule trans :premises (@p430 @p429)) % 34.18/34.95 (step @p432 :rule bool-and-de-morgan :args (@t46 @t45 true)) % 34.18/34.95 (step @p433 :rule nary_cong :premises (@p426 @p432) :args ((or @t407 (not (and @t46 @t45))))) % 34.18/34.95 (step @p434 :rule bool-and-de-morgan :args (@t47 @t46 (and @t45))) % 34.18/34.95 (step @p435 :rule trans :premises (@p434 @p433)) % 34.18/34.95 (step @p436 :rule nary_cong :premises (@p427 @p435) :args ((or @t408 (not (and @t47 @t46 @t45))))) % 34.18/34.95 (step @p437 :rule bool-and-de-morgan :args (@t48 @t47 (and @t46 @t45))) % 34.18/34.95 (step @p438 :rule trans :premises (@p437 @p436)) % 34.18/34.95 (step @p439 :rule refl :args (@t410)) % 34.18/34.95 (step @p440 :rule nary_cong :premises (@p439 @p438) :args ((or @t410 (not (and @t48 @t47 @t46 @t45))))) % 34.18/34.95 (step @p441 :rule bool-and-de-morgan :args (@t50 @t48 (and @t47 @t46 @t45))) % 34.18/34.95 (step @p442 :rule trans :premises (@p441 @p440)) % 34.18/34.95 (step @p443 :rule trans :premises (@p442 @p431)) % 34.18/34.95 (step @p444 :rule nary_cong :premises (@p443 @p423) :args ((or @t412 @t43))) % 34.18/34.95 (step @p445 :rule trans :premises (@p444 @p422)) % 34.18/34.95 (step @p446 :rule bool-impl-elim :args (@t51 @t43)) % 34.18/34.95 (step @p447 :rule trans :premises (@p446 @p445)) % 34.18/34.95 (step @p448 :rule cong :premises (@p447) :args (@t52)) % 34.18/34.95 (step @p449 :rule eq_resolve :premises (@p19 @p448)) % 34.18/34.95 (step @p450 :rule instantiate :premises (@p449) :args (@t426)) % 34.18/34.95 (step @p451 :rule aci_norm :args ((= @t428 @t420))) % 34.18/34.95 (step @p452 :rule cong :premises (@p451) :args (@t429)) % 34.18/34.95 (step @p453 :rule quant-merge-prenex :args ((= (forall @t15 @t431) @t429))) % 34.18/34.95 (step @p454 :rule alpha_equiv :args (@t432 (@list @t414 @t413) (@list @t2 @t433))) % 34.18/34.95 (step @p455 :rule refl :args (@t49)) % 34.18/34.95 (step @p456 :rule nary_cong :premises (@p455 @p427 @p426 @p454) :args (@t434)) % 34.18/34.95 (step @p457 :rule quant-miniscope-or :args ((= @t431 @t434))) % 34.18/34.95 (step @p458 :rule trans :premises (@p457 @p456)) % 34.18/34.95 (step @p459 :rule symm :premises (@p458)) % 34.18/34.95 (step @p460 :rule cong :premises (@p459) :args ((forall @t15 @t442))) % 34.18/34.95 (step @p461 :rule trans :premises (@p460 @p453)) % 34.18/34.95 (step @p462 :rule trans :premises (@p461 @p452)) % 34.18/34.95 (step @p463 :rule aci_norm :args ((= (or (or @t49 @t408 @t407) @t441) @t442))) % 34.18/34.95 (step @p464 :rule refl :args (@t441)) % 34.18/34.95 (step @p465 :rule nary_cong :premises (@p428 @p427 @p426) :args (@t443)) % 34.18/34.95 (step @p466 :rule aci_norm :args ((= (or @t410 (or @t408 @t407)) @t443))) % 34.18/34.95 (step @p467 :rule trans :premises (@p466 @p465)) % 34.18/34.95 (step @p468 :rule bool-and-de-morgan :args (@t48 @t47 true)) % 34.18/34.95 (step @p469 :rule nary_cong :premises (@p439 @p468) :args ((or @t410 (not (and @t48 @t47))))) % 34.18/34.95 (step @p470 :rule bool-and-de-morgan :args (@t50 @t48 (and @t47))) % 34.18/34.95 (step @p471 :rule trans :premises (@p470 @p469)) % 34.18/34.95 (step @p472 :rule trans :premises (@p471 @p467)) % 34.18/34.95 (step @p473 :rule nary_cong :premises (@p472 @p464) :args ((or (not @t385) @t441))) % 34.18/34.95 (step @p474 :rule trans :premises (@p473 @p463)) % 34.18/34.95 (step @p475 :rule bool-impl-elim :args (@t385 @t441)) % 34.18/34.95 (step @p476 :rule trans :premises (@p475 @p474)) % 34.18/34.96 (step @p477 :rule cong :premises (@p476) :args ((forall @t15 (=> @t385 @t441)))) % 34.18/34.96 (step @p478 :rule trans :premises (@p477 @p462)) % 34.18/34.96 (step @p479 :rule aci_norm :args ((= @t445 @t439))) % 34.18/34.96 (step @p480 :rule cong :premises (@p479) :args (@t446)) % 34.18/34.96 (step @p481 :rule quant-merge-prenex :args ((= (forall @t13 @t448) @t446))) % 34.18/34.96 (step @p482 :rule alpha_equiv :args (@t449 (@list @t433) @t450)) % 34.18/34.96 (step @p483 :rule nary_cong :premises (@p425 @p482) :args (@t451)) % 34.18/34.96 (step @p484 :rule quant-miniscope-or :args ((= @t448 @t451))) % 34.18/34.96 (step @p485 :rule trans :premises (@p484 @p483)) % 34.18/34.96 (step @p486 :rule symm :premises (@p485)) % 34.18/34.96 (step @p487 :rule cong :premises (@p486) :args ((forall @t13 (or @t406 @t455)))) % 34.18/34.96 (step @p488 :rule trans :premises (@p487 @p481)) % 34.18/34.96 (step @p489 :rule trans :premises (@p488 @p480)) % 34.18/34.96 (step @p490 :rule bool-impl-elim :args (@t46 @t455)) % 34.18/34.96 (step @p491 :rule cong :premises (@p490) :args ((forall @t13 (=> @t46 @t455)))) % 34.18/34.96 (step @p492 :rule trans :premises (@p491 @p489)) % 34.18/34.96 (step @p493 :rule aci_norm :args ((= (or @t405 @t456) @t454))) % 34.18/34.96 (step @p494 :rule aci_norm :args ((= (or (or @t453 @t452) @t117) @t456))) % 34.18/34.96 (step @p495 :rule refl :args (@t117)) % 34.18/34.96 (step @p496 :rule bool-and-de-morgan :args (@t145 @t379 true)) % 34.18/34.96 (step @p497 :rule nary_cong :premises (@p496 @p495) :args ((or (not @t380) @t117))) % 34.18/34.96 (step @p498 :rule trans :premises (@p497 @p494)) % 34.18/34.96 (step @p499 :rule bool-impl-elim :args (@t380 @t117)) % 34.18/34.96 (step @p500 :rule trans :premises (@p499 @p498)) % 34.18/34.96 (step @p501 :rule nary_cong :premises (@p424 @p500) :args ((or @t405 @t381))) % 34.18/34.96 (step @p502 :rule trans :premises (@p501 @p493)) % 34.18/34.96 (step @p503 :rule bool-impl-elim :args (@t45 @t381)) % 34.18/34.96 (step @p504 :rule trans :premises (@p503 @p502)) % 34.18/34.96 (step @p505 :rule cong :premises (@p504) :args (@t382)) % 34.18/34.96 (step @p506 :rule refl :args (@t46)) % 34.18/34.96 (step @p507 :rule cong :premises (@p506 @p505) :args (@t383)) % 34.18/34.96 (step @p508 :rule cong :premises (@p507) :args (@t384)) % 34.18/34.96 (step @p509 :rule trans :premises (@p508 @p492)) % 34.18/34.96 (step @p510 :rule refl :args (@t385)) % 34.18/34.96 (step @p511 :rule cong :premises (@p510 @p509) :args (@t386)) % 34.18/34.96 (step @p512 :rule cong :premises (@p511) :args (@t387)) % 34.18/34.96 (step @p513 :rule trans :premises (@p512 @p478)) % 34.18/34.96 (step @p514 :rule cong :premises (@p513) :args (@t388)) % 34.18/34.96 (step @p515 :rule eq_resolve :premises (@p323 @p514)) % 34.18/34.96 (step @p516 :rule skolemize :premises (@p515)) % 34.18/34.96 (step @p517 :rule bool-double-not-elim :args (@t458)) % 34.18/34.96 (step @p518 :rule refl :args (@t472)) % 34.18/34.96 (step @p519 :rule nary_cong :premises (@p518 @p517) :args ((or @t472 (not @t464)))) % 34.18/34.96 (step @p520 :rule cnf_or_neg :args (@t472 4)) % 34.18/34.96 (step @p521 :rule eq_resolve :premises (@p520 @p519)) % 34.18/34.96 (step @p522 :rule reordering :premises (@p521) :args ((or @t458 @t472))) % 34.18/34.96 (step @p523 :rule chain_m_resolution :premises (@p522 @p516) :args (@t458 @t473 @t474)) % 34.18/34.96 (step @p524 :rule bool-double-not-elim :args (@t465)) % 34.18/34.96 (step @p525 :rule nary_cong :premises (@p518 @p524) :args ((or @t472 (not @t466)))) % 34.18/34.96 (step @p526 :rule cnf_or_neg :args (@t472 3)) % 34.18/34.96 (step @p527 :rule eq_resolve :premises (@p526 @p525)) % 34.18/34.96 (step @p528 :rule reordering :premises (@p527) :args ((or @t465 @t472))) % 34.18/34.96 (step @p529 :rule chain_m_resolution :premises (@p528 @p516) :args (@t465 @t473 @t474)) % 34.18/34.96 (step @p530 :rule bool-double-not-elim :args (@t467)) % 34.18/34.96 (step @p531 :rule nary_cong :premises (@p518 @p530) :args ((or @t472 (not @t468)))) % 34.18/34.96 (step @p532 :rule cnf_or_neg :args (@t472 2)) % 34.18/34.96 (step @p533 :rule eq_resolve :premises (@p532 @p531)) % 34.18/34.96 (step @p534 :rule reordering :premises (@p533) :args ((or @t467 @t472))) % 34.18/34.96 (step @p535 :rule chain_m_resolution :premises (@p534 @p516) :args (@t467 @t473 @t474)) % 34.18/34.96 (step @p536 :rule bool-double-not-elim :args (@t469)) % 34.18/34.96 (step @p537 :rule nary_cong :premises (@p518 @p536) :args ((or @t472 (not @t470)))) % 34.18/34.96 (step @p538 :rule cnf_or_neg :args (@t472 1)) % 34.18/34.96 (step @p539 :rule eq_resolve :premises (@p538 @p537)) % 34.18/34.96 (step @p540 :rule reordering :premises (@p539) :args ((or @t469 @t472))) % 34.18/34.96 (step @p541 :rule chain_m_resolution :premises (@p540 @p516) :args (@t469 @t473 @t474)) % 34.18/34.96 (step @p542 :rule cnf_or_neg :args (@t472 0)) % 34.18/34.96 (step @p543 :rule chain_m_resolution :premises (@p542 @p516) :args ((not @t471) @t473 @t474)) % 34.18/34.96 (step @p544 :rule cnf_or_pos :args (@t478)) % 34.18/34.96 (step @p545 :rule reordering :premises (@p544) :args ((or @t471 @t470 @t468 @t466 @t464 @t477 (not @t478)))) % 34.18/34.96 (step @p546 :rule chain_m_resolution :premises (@p545 @p543 @p541 @p535 @p529 @p523 @p450) :args (@t477 @t479 (@list @t471 @t469 @t467 @t465 @t458 @t478))) % 34.18/34.96 (step @p547 :rule aci_norm :args ((= (or @t409 @t255) (or @t49 @t408 @t407 @t406 @t405 @t255)))) % 34.18/34.96 (step @p548 :rule refl :args (@t255)) % 34.18/34.96 (step @p549 :rule nary_cong :premises (@p443 @p548) :args ((or @t412 @t255))) % 34.18/34.96 (step @p550 :rule trans :premises (@p549 @p547)) % 34.18/34.96 (step @p551 :rule bool-impl-elim :args (@t51 @t255)) % 34.18/34.96 (step @p552 :rule trans :premises (@p551 @p550)) % 34.18/34.96 (step @p553 :rule cong :premises (@p552) :args (@t256)) % 34.18/34.96 (step @p554 :rule eq_resolve :premises (@p220 @p553)) % 34.18/34.96 (step @p555 :rule instantiate :premises (@p554) :args (@t426)) % 34.18/34.96 (step @p556 :rule cnf_or_pos :args (@t482)) % 34.18/34.96 (step @p557 :rule reordering :premises (@p556) :args ((or @t471 @t470 @t468 @t466 @t464 @t481 (not @t482)))) % 34.18/34.96 (step @p558 :rule chain_m_resolution :premises (@p557 @p543 @p541 @p535 @p529 @p523 @p555) :args (@t481 @t479 (@list @t471 @t469 @t467 @t465 @t458 @t482))) % 34.18/34.96 (step @p559 :rule symm :premises (@p558)) % 34.18/34.96 (step @p560 :rule aci_norm :args ((= @t489 (or @t49 @t407 @t487 @t486 @t485)))) % 34.18/34.96 (step @p561 :rule cong :premises (@p560) :args (@t490)) % 34.18/34.96 (step @p562 :rule quant-merge-prenex :args ((= (forall @t15 @t492) @t490))) % 34.18/34.96 (step @p563 :rule alpha_equiv :args (@t493 (@list @t484 @t483) (@list @t2 @t494))) % 34.18/34.96 (step @p564 :rule nary_cong :premises (@p455 @p426 @p563) :args (@t495)) % 34.18/34.96 (step @p565 :rule quant-miniscope-or :args ((= @t492 @t495))) % 34.18/34.96 (step @p566 :rule trans :premises (@p565 @p564)) % 34.18/34.96 (step @p567 :rule symm :premises (@p566)) % 34.18/34.96 (step @p568 :rule cong :premises (@p567) :args ((forall @t15 @t501))) % 34.18/34.96 (step @p569 :rule trans :premises (@p568 @p562)) % 34.18/34.96 (step @p570 :rule trans :premises (@p569 @p561)) % 34.18/34.96 (step @p571 :rule aci_norm :args ((= (or (or @t49 @t407) @t500) @t501))) % 34.18/34.96 (step @p572 :rule refl :args (@t500)) % 34.18/34.96 (step @p573 :rule nary_cong :premises (@p428 @p426) :args ((or @t410 @t407))) % 34.18/34.96 (step @p574 :rule bool-and-de-morgan :args (@t50 @t47 true)) % 34.18/34.96 (step @p575 :rule trans :premises (@p574 @p573)) % 34.18/34.96 (step @p576 :rule nary_cong :premises (@p575 @p572) :args ((or (not @t116) @t500))) % 34.18/34.96 (step @p577 :rule trans :premises (@p576 @p571)) % 34.18/34.96 (step @p578 :rule bool-impl-elim :args (@t116 @t500)) % 34.18/34.96 (step @p579 :rule trans :premises (@p578 @p577)) % 34.18/34.96 (step @p580 :rule cong :premises (@p579) :args ((forall @t15 (=> @t116 @t500)))) % 34.18/34.96 (step @p581 :rule trans :premises (@p580 @p570)) % 34.18/34.96 (step @p582 :rule aci_norm :args ((= @t503 @t498))) % 34.18/34.96 (step @p583 :rule cong :premises (@p582) :args (@t504)) % 34.18/34.96 (step @p584 :rule quant-merge-prenex :args ((= (forall @t13 @t506) @t504))) % 34.18/34.96 (step @p585 :rule alpha_equiv :args (@t507 (@list @t494) @t450)) % 34.18/34.96 (step @p586 :rule nary_cong :premises (@p425 @p585) :args (@t508)) % 34.18/34.96 (step @p587 :rule quant-miniscope-or :args ((= @t506 @t508))) % 34.18/34.96 (step @p588 :rule trans :premises (@p587 @p586)) % 34.18/34.96 (step @p589 :rule symm :premises (@p588)) % 34.18/34.96 (step @p590 :rule cong :premises (@p589) :args ((forall @t13 (or @t406 @t510)))) % 34.18/34.96 (step @p591 :rule trans :premises (@p590 @p584)) % 34.18/34.96 (step @p592 :rule trans :premises (@p591 @p583)) % 34.18/34.96 (step @p593 :rule bool-impl-elim :args (@t46 @t510)) % 34.18/34.96 (step @p594 :rule cong :premises (@p593) :args ((forall @t13 (=> @t46 @t510)))) % 34.18/34.96 (step @p595 :rule trans :premises (@p594 @p592)) % 34.18/34.96 (step @p596 :rule bool-impl-elim :args (@t45 @t509)) % 34.18/34.96 (step @p597 :rule cong :premises (@p596) :args ((forall @t90 (=> @t45 @t509)))) % 34.18/34.96 (step @p598 :rule eq-symm :args (@t115 @t25)) % 34.18/34.96 (step @p599 :rule refl :args (@t145)) % 34.18/34.96 (step @p600 :rule cong :premises (@p599 @p598) :args (@t146)) % 34.18/34.96 (step @p601 :rule refl :args (@t45)) % 34.18/34.96 (step @p602 :rule cong :premises (@p601 @p600) :args (@t147)) % 34.18/34.96 (step @p603 :rule cong :premises (@p602) :args (@t148)) % 34.18/34.96 (step @p604 :rule trans :premises (@p603 @p597)) % 34.18/34.96 (step @p605 :rule cong :premises (@p506 @p604) :args (@t149)) % 34.18/34.96 (step @p606 :rule cong :premises (@p605) :args (@t150)) % 34.18/34.96 (step @p607 :rule trans :premises (@p606 @p595)) % 34.18/34.96 (step @p608 :rule refl :args (@t116)) % 34.18/34.96 (step @p609 :rule cong :premises (@p608 @p607) :args (@t151)) % 34.18/34.96 (step @p610 :rule cong :premises (@p609) :args (@t152)) % 34.18/34.96 (step @p611 :rule trans :premises (@p610 @p581)) % 34.18/34.96 (step @p612 :rule eq_resolve :premises (@p59 @p611)) % 34.18/34.96 (step @p613 :rule instantiate :premises (@p612) :args (@t426)) % 34.18/34.96 (step @p614 :rule cnf_or_pos :args (@t513)) % 34.18/34.96 (step @p615 :rule reordering :premises (@p614) :args ((or @t471 @t468 @t466 @t464 @t512 (not @t513)))) % 34.18/34.96 (step @p616 :rule chain_m_resolution :premises (@p615 @p543 @p535 @p529 @p523 @p613) :args (@t512 @t514 (@list @t471 @t467 @t465 @t458 @t513))) % 34.18/34.96 (step @p617 :rule bool-double-not-elim :args (@t462)) % 34.18/34.96 (step @p618 :rule nary_cong :premises (@p518 @p617) :args ((or @t472 (not @t463)))) % 34.18/34.96 (step @p619 :rule cnf_or_neg :args (@t472 5)) % 34.18/34.96 (step @p620 :rule eq_resolve :premises (@p619 @p618)) % 34.18/34.96 (step @p621 :rule reordering :premises (@p620) :args ((or @t462 @t472))) % 34.18/34.96 (step @p622 :rule chain_m_resolution :premises (@p621 @p516) :args (@t462 @t473 @t474)) % 34.18/34.96 (step @p623 :rule cnf_equiv_pos1 :args (@t512)) % 34.18/34.96 (step @p624 :rule reordering :premises (@p623) :args ((or @t463 @t511 (not @t512)))) % 34.18/34.96 (step @p625 :rule chain_m_resolution :premises (@p624 @p622 @p616) :args (@t511 @t515 (@list @t462 @t512))) % 34.18/34.96 (step @p626 :rule trans :premises (@p625 @p559 @p546)) % 34.18/34.96 (step @p627 :rule symm :premises (@p626)) % 34.18/34.96 (step @p628 :rule symm :premises (@p546)) % 34.18/34.96 (step @p629 :rule instantiate :premises (@p554) :args (@t516)) % 34.18/34.96 (step @p630 :rule cnf_or_pos :args (@t519)) % 34.18/34.96 (step @p631 :rule reordering :premises (@p630) :args ((or @t471 @t470 @t468 @t466 @t464 @t518 (not @t519)))) % 34.18/34.96 (step @p632 :rule chain_m_resolution :premises (@p631 @p543 @p541 @p535 @p529 @p523 @p629) :args (@t518 @t479 (@list @t471 @t469 @t467 @t465 @t458 @t519))) % 34.18/34.96 (step @p633 :rule symm :premises (@p632)) % 34.18/34.96 (step @p634 :rule instantiate :premises (@p612) :args (@t516)) % 34.18/34.96 (step @p635 :rule cnf_or_pos :args (@t522)) % 34.18/34.96 (step @p636 :rule reordering :premises (@p635) :args ((or @t471 @t468 @t466 @t464 @t521 (not @t522)))) % 34.18/34.96 (step @p637 :rule chain_m_resolution :premises (@p636 @p543 @p535 @p529 @p523 @p634) :args (@t521 @t514 (@list @t471 @t467 @t465 @t458 @t522))) % 34.18/34.96 (step @p638 :rule bool-double-not-elim :args (@t460)) % 34.18/34.96 (step @p639 :rule nary_cong :premises (@p518 @p638) :args ((or @t472 (not @t461)))) % 34.18/34.96 (step @p640 :rule cnf_or_neg :args (@t472 6)) % 34.18/34.96 (step @p641 :rule eq_resolve :premises (@p640 @p639)) % 34.18/34.96 (step @p642 :rule reordering :premises (@p641) :args ((or @t460 @t472))) % 34.18/34.96 (step @p643 :rule chain_m_resolution :premises (@p642 @p516) :args (@t460 @t473 @t474)) % 34.18/34.96 (step @p644 :rule cnf_equiv_pos1 :args (@t521)) % 34.18/34.96 (step @p645 :rule reordering :premises (@p644) :args ((or @t461 @t520 (not @t521)))) % 34.18/34.96 (step @p646 :rule chain_m_resolution :premises (@p645 @p643 @p637) :args (@t520 @t515 (@list @t460 @t521))) % 34.18/34.96 (step @p647 :rule trans :premises (@p646 @p633 @p628)) % 34.18/34.96 (step @p648 :rule trans :premises (@p647 @p546 @p627)) % 34.18/34.96 (step @p649 :rule true_intro :premises (@p648)) % 34.18/34.96 (step @p650 :rule cnf_or_neg :args (@t472 7)) % 34.18/34.96 (step @p651 :rule chain_m_resolution :premises (@p650 @p516) :args ((not @t459) @t473 @t474)) % 34.18/34.96 (step @p652 :rule false_intro :premises (@p651)) % 34.18/34.96 (step @p653 :rule symm :premises (@p652)) % 34.18/34.96 (step @p654 :rule trans :premises (@p653 @p649)) % 34.18/34.96 (step @p655 false :rule eq_resolve :premises (@p654 @p421)) % 34.18/34.96 ) % 34.18/34.96 % SZS output end Proof % 34.18/34.96 % cvc5 exiting %------------------------------------------------------------------------------