%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU308+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:51:20 AM UTC 2026 % Result : Theorem 0.85s 1.09s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU308+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n022.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Tue Jun 2 16:55:53 EDT 2026 % 0.17/0.34 % CPUTime : % 0.39/0.60 %----Proving TF0_NAR, FOF, or CNF % 0.85/1.09 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.85/1.09 % SZS status Theorem % 0.85/1.09 % SZS output start Proof % 0.85/1.09 ( % 0.85/1.09 (declare-sort $$unsorted 0) % 0.85/1.09 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.function (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.empty_set $$unsorted) % 0.85/1.09 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.omega $$unsorted) % 0.85/1.09 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.85/1.09 (define @t1 () (@var "A" $$unsorted)) % 0.85/1.09 (define @t2 () (@var "B" $$unsorted)) % 0.85/1.09 (define @t3 () (tptp.in @t2 @t1)) % 0.85/1.09 (define @t4 () (not @t3)) % 0.85/1.09 (define @t5 () (tptp.in @t1 @t2)) % 0.85/1.09 (define @t6 () (@list @t1 @t2)) % 0.85/1.09 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.85/1.09 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.85/1.09 (define @t9 () (tptp.v1_xcmplx_0 @t2)) % 0.85/1.09 (define @t10 () (tptp.element @t2 @t1)) % 0.85/1.09 (define @t11 () (@list @t2)) % 0.85/1.09 (define @t12 () (tptp.v1_membered @t1)) % 0.85/1.09 (define @t13 () (@list @t1)) % 0.85/1.09 (define @t14 () (tptp.v1_xreal_0 @t2)) % 0.85/1.09 (define @t15 () (tptp.v2_membered @t1)) % 0.85/1.09 (define @t16 () (tptp.v1_rat_1 @t2)) % 0.85/1.09 (define @t17 () (tptp.v3_membered @t1)) % 0.85/1.09 (define @t18 () (tptp.v1_int_1 @t2)) % 0.85/1.09 (define @t19 () (tptp.v4_membered @t1)) % 0.85/1.09 (define @t20 () (tptp.natural @t2)) % 0.85/1.09 (define @t21 () (tptp.v5_membered @t1)) % 0.85/1.09 (define @t22 () (tptp.empty @t1)) % 0.85/1.09 (define @t23 () (tptp.v1_membered @t2)) % 0.85/1.09 (define @t24 () (tptp.powerset @t1)) % 0.85/1.09 (define @t25 () (tptp.element @t2 @t24)) % 0.85/1.09 (define @t26 () (tptp.v2_membered @t2)) % 0.85/1.09 (define @t27 () (tptp.v3_membered @t2)) % 0.85/1.09 (define @t28 () (tptp.v4_membered @t2)) % 0.85/1.09 (define @t29 () (tptp.ordinal @t2)) % 0.85/1.09 (define @t30 () (tptp.epsilon_connected @t2)) % 0.85/1.09 (define @t31 () (tptp.epsilon_transitive @t2)) % 0.85/1.09 (define @t32 () (tptp.ordinal @t1)) % 0.85/1.09 (define @t33 () (tptp.finite @t1)) % 0.85/1.09 (define @t34 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 0.85/1.09 (define @t35 () (tptp.preboolean @t1)) % 0.85/1.09 (define @t36 () (tptp.function @t1)) % 0.85/1.09 (define @t37 () (tptp.epsilon_connected @t1)) % 0.85/1.09 (define @t38 () (tptp.epsilon_transitive @t1)) % 0.85/1.09 (define @t39 () (and @t38 @t37)) % 0.85/1.09 (define @t40 () (tptp.relation @t1)) % 0.85/1.09 (define @t41 () (@var "C" $$unsorted)) % 0.85/1.09 (define @t42 () (tptp.relation @t41)) % 0.85/1.09 (define @t43 () (tptp.cartesian_product2 @t1 @t2)) % 0.85/1.09 (define @t44 () (tptp.element @t41 (tptp.powerset @t43))) % 0.85/1.09 (define @t45 () (@list @t1 @t2 @t41)) % 0.85/1.09 (define @t46 () (tptp.natural @t1)) % 0.85/1.09 (define @t47 () (and @t38 @t37 @t32 @t46)) % 0.85/1.09 (define @t48 () (tptp.finite @t2)) % 0.85/1.09 (define @t49 () (tptp.one_to_one @t1)) % 0.85/1.09 (define @t50 () (and @t40 @t36 @t49)) % 0.85/1.09 (define @t51 () (and @t40 @t22 @t36)) % 0.85/1.09 (define @t52 () (and @t38 @t37 @t32)) % 0.85/1.09 (define @t53 () (tptp.unordered_pair @t1 @t2)) % 0.85/1.09 (define @t54 () (tptp.set_union2 @t2 @t1)) % 0.85/1.09 (define @t55 () (tptp.set_union2 @t1 @t2)) % 0.85/1.09 (define @t56 () (tptp.join_commut @t1 @t2 @t41)) % 0.85/1.09 (define @t57 () (tptp.the_carrier @t1)) % 0.85/1.09 (define @t58 () (tptp.element @t41 @t57)) % 0.85/1.09 (define @t59 () (tptp.element @t2 @t57)) % 0.85/1.09 (define @t60 () (tptp.join_semilatt_str @t1)) % 0.85/1.09 (define @t61 () (tptp.join_commutative @t1)) % 0.85/1.09 (define @t62 () (not (tptp.empty_carrier @t1))) % 0.85/1.09 (define @t63 () (and @t62 @t61 @t60 @t59 @t58)) % 0.85/1.09 (define @t64 () (tptp.set_intersection2 @t2 @t1)) % 0.85/1.09 (define @t65 () (tptp.set_intersection2 @t1 @t2)) % 0.85/1.09 (define @t66 () (tptp.meet_commut @t1 @t2 @t41)) % 0.85/1.09 (define @t67 () (tptp.meet_semilatt_str @t1)) % 0.85/1.09 (define @t68 () (tptp.meet_commutative @t1)) % 0.85/1.09 (define @t69 () (and @t62 @t68 @t67 @t59 @t58)) % 0.85/1.09 (define @t70 () (tptp.subset_intersection2 @t1 @t2 @t41)) % 0.85/1.09 (define @t71 () (tptp.element @t41 @t24)) % 0.85/1.09 (define @t72 () (and @t25 @t71)) % 0.85/1.09 (define @t73 () (tptp.ordinal_subset @t1 @t2)) % 0.85/1.09 (define @t74 () (and @t32 @t29)) % 0.85/1.09 (define @t75 () (@var "D" $$unsorted)) % 0.85/1.09 (define @t76 () (= @t41 @t75)) % 0.85/1.09 (define @t77 () (tptp.in @t41 @t1)) % 0.85/1.09 (define @t78 () (tptp.ordered_pair @t41 @t75)) % 0.85/1.09 (define @t79 () (tptp.in @t78 @t2)) % 0.85/1.09 (define @t80 () (@list @t41 @t75)) % 0.85/1.09 (define @t81 () (tptp.identity_relation @t1)) % 0.85/1.09 (define @t82 () (= @t2 @t81)) % 0.85/1.09 (define @t83 () (tptp.relation @t2)) % 0.85/1.09 (define @t84 () (tptp.subset @t2 @t1)) % 0.85/1.09 (define @t85 () (tptp.subset @t1 @t2)) % 0.85/1.09 (define @t86 () (= @t1 @t2)) % 0.85/1.09 (define @t87 () (@var "E" $$unsorted)) % 0.85/1.09 (define @t88 () (tptp.ordered_pair @t75 @t87)) % 0.85/1.09 (define @t89 () (tptp.in @t88 @t1)) % 0.85/1.09 (define @t90 () (tptp.in @t75 @t2)) % 0.85/1.09 (define @t91 () (tptp.in @t88 @t41)) % 0.85/1.09 (define @t92 () (@list @t75 @t87)) % 0.85/1.09 (define @t93 () (tptp.relation_dom_restriction @t1 @t2)) % 0.85/1.09 (define @t94 () (@list @t2 @t41)) % 0.85/1.09 (define @t95 () (tptp.in @t87 @t2)) % 0.85/1.09 (define @t96 () (tptp.relation_dom @t1)) % 0.85/1.09 (define @t97 () (@list @t87)) % 0.85/1.09 (define @t98 () (tptp.in @t75 @t41)) % 0.85/1.09 (define @t99 () (@list @t75)) % 0.85/1.09 (define @t100 () (tptp.relation_image @t1 @t2)) % 0.85/1.09 (define @t101 () (= @t41 @t100)) % 0.85/1.09 (define @t102 () (and @t40 @t36)) % 0.85/1.09 (define @t103 () (tptp.in @t87 @t1)) % 0.85/1.09 (define @t104 () (tptp.relation_rng_restriction @t1 @t2)) % 0.85/1.09 (define @t105 () (@list @t41)) % 0.85/1.09 (define @t106 () (tptp.relation_field @t1)) % 0.85/1.09 (define @t107 () (tptp.antisymmetric @t1)) % 0.85/1.09 (define @t108 () (tptp.apply @t1 @t75)) % 0.85/1.09 (define @t109 () (tptp.in @t75 @t96)) % 0.85/1.09 (define @t110 () (= @t41 (tptp.relation_inverse_image @t1 @t2))) % 0.85/1.09 (define @t111 () (tptp.ordered_pair @t87 @t75)) % 0.85/1.09 (define @t112 () (tptp.connected @t1)) % 0.85/1.09 (define @t113 () (tptp.transitive @t1)) % 0.85/1.09 (define @t114 () (tptp.in @t87 @t75)) % 0.85/1.09 (define @t115 () (@list @t1 @t2 @t41 @t75)) % 0.85/1.09 (define @t116 () (tptp.relation_dom @t2)) % 0.85/1.09 (define @t117 () (tptp.relation_rng @t2)) % 0.85/1.09 (define @t118 () (tptp.function @t2)) % 0.85/1.09 (define @t119 () (tptp.in (tptp.ordered_pair @t2 @t75) @t1)) % 0.85/1.09 (define @t120 () (tptp.ordered_pair @t2 @t41)) % 0.85/1.09 (define @t121 () (tptp.in @t120 @t1)) % 0.85/1.09 (define @t122 () (@list @t2 @t41 @t75)) % 0.85/1.09 (define @t123 () (= @t41 tptp.empty_set)) % 0.85/1.09 (define @t124 () (tptp.quasi_total @t41 @t1 @t2)) % 0.85/1.09 (define @t125 () (= @t1 tptp.empty_set)) % 0.85/1.09 (define @t126 () (= @t2 tptp.empty_set)) % 0.85/1.09 (define @t127 () (tptp.relation_dom_as_subset @t1 @t2 @t41)) % 0.85/1.09 (define @t128 () (tptp.relation_of2_as_subset @t41 @t1 @t2)) % 0.85/1.09 (define @t129 () (tptp.the_L_join @t1)) % 0.85/1.09 (define @t130 () (tptp.join @t1 @t2 @t41)) % 0.85/1.09 (define @t131 () (and @t62 @t60)) % 0.85/1.09 (define @t132 () (= @t2 @t41)) % 0.85/1.09 (define @t133 () (= @t1 @t78)) % 0.85/1.09 (define @t134 () (exists @t94 (= @t1 @t120))) % 0.85/1.09 (define @t135 () (tptp.singleton @t1)) % 0.85/1.09 (define @t136 () (tptp.succ @t1)) % 0.85/1.09 (define @t137 () (tptp.in @t41 @t2)) % 0.85/1.09 (define @t138 () (tptp.is_reflexive_in @t1 @t2)) % 0.85/1.09 (define @t139 () (tptp.relation_of2 @t41 @t1 @t2)) % 0.85/1.09 (define @t140 () (= @t2 (tptp.set_meet @t1))) % 0.85/1.09 (define @t141 () (tptp.in @t41 @t75)) % 0.85/1.09 (define @t142 () (tptp.in @t75 @t1)) % 0.85/1.09 (define @t143 () (not @t125)) % 0.85/1.09 (define @t144 () (= @t75 @t2)) % 0.85/1.09 (define @t145 () (tptp.subset @t41 @t75)) % 0.85/1.09 (define @t146 () (tptp.relation_field @t2)) % 0.85/1.09 (define @t147 () (tptp.inclusion_relation @t1)) % 0.85/1.09 (define @t148 () (tptp.the_L_meet @t1)) % 0.85/1.09 (define @t149 () (tptp.meet @t1 @t2 @t41)) % 0.85/1.09 (define @t150 () (= @t2 @t75)) % 0.85/1.09 (define @t151 () (tptp.in @t78 @t1)) % 0.85/1.09 (define @t152 () (tptp.empty @t2)) % 0.85/1.09 (define @t153 () (not @t22)) % 0.85/1.09 (define @t154 () (not @t126)) % 0.85/1.09 (define @t155 () (tptp.well_founded_relation @t1)) % 0.85/1.09 (define @t156 () (@var "F" $$unsorted)) % 0.85/1.09 (define @t157 () (tptp.ordered_pair @t87 @t156)) % 0.85/1.09 (define @t158 () (tptp.in @t156 @t2)) % 0.85/1.09 (define @t159 () (@list @t87 @t156)) % 0.85/1.09 (define @t160 () (tptp.below @t1 @t2 @t41)) % 0.85/1.09 (define @t161 () (not @t137)) % 0.85/1.09 (define @t162 () (not @t132)) % 0.85/1.09 (define @t163 () (tptp.in @t2 @t41)) % 0.85/1.09 (define @t164 () (tptp.cast_as_carrier_subset @t1)) % 0.85/1.09 (define @t165 () (tptp.one_sorted_str @t1)) % 0.85/1.09 (define @t166 () (=> @t165 (= @t164 @t57))) % 0.85/1.09 (define @t167 () (forall @t13 @t166)) % 0.85/1.09 (define @t168 () (forall @t105 (=> @t77 @t137))) % 0.85/1.09 (define @t169 () (not @t123)) % 0.85/1.09 (define @t170 () (tptp.subset @t41 @t2)) % 0.85/1.09 (define @t171 () (tptp.is_well_founded_in @t1 @t2)) % 0.85/1.09 (define @t172 () (tptp.apply @t1 @t2)) % 0.85/1.09 (define @t173 () (= @t41 @t172)) % 0.85/1.09 (define @t174 () (tptp.in @t2 @t96)) % 0.85/1.09 (define @t175 () (tptp.in (tptp.ordered_pair @t75 @t41) @t1)) % 0.85/1.09 (define @t176 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.85/1.09 (define @t177 () (tptp.cast_to_subset @t1)) % 0.85/1.09 (define @t178 () (tptp.union @t1)) % 0.85/1.09 (define @t179 () (tptp.reflexive @t1)) % 0.85/1.09 (define @t180 () (tptp.well_ordering @t1)) % 0.85/1.09 (define @t181 () (tptp.relation_rng @t41)) % 0.85/1.09 (define @t182 () (tptp.relation_dom @t41)) % 0.85/1.09 (define @t183 () (= @t182 @t1)) % 0.85/1.09 (define @t184 () (tptp.one_to_one @t41)) % 0.85/1.09 (define @t185 () (tptp.function @t41)) % 0.85/1.09 (define @t186 () (tptp.equipotent @t1 @t2)) % 0.85/1.09 (define @t187 () (tptp.set_difference @t1 @t2)) % 0.85/1.09 (define @t188 () (and @t109 (= @t41 @t108))) % 0.85/1.09 (define @t189 () (tptp.relation_rng @t1)) % 0.85/1.09 (define @t190 () (= @t2 @t189)) % 0.85/1.09 (define @t191 () (tptp.being_limit_ordinal @t1)) % 0.85/1.09 (define @t192 () (tptp.subset_complement @t1 @t2)) % 0.85/1.09 (define @t193 () (=> @t25 (= @t192 @t187))) % 0.85/1.09 (define @t194 () (forall @t6 @t193)) % 0.85/1.09 (define @t195 () (tptp.ordered_pair @t1 @t2)) % 0.85/1.09 (define @t196 () (tptp.is_connected_in @t1 @t2)) % 0.85/1.09 (define @t197 () (tptp.is_transitive_in @t1 @t2)) % 0.85/1.09 (define @t198 () (tptp.cartesian_product2 @t2 @t2)) % 0.85/1.09 (define @t199 () (tptp.relation_restriction @t1 @t2)) % 0.85/1.09 (define @t200 () (tptp.relation_inverse @t1)) % 0.85/1.09 (define @t201 () (tptp.apply @t41 @t87)) % 0.85/1.09 (define @t202 () (tptp.apply @t41 @t75)) % 0.85/1.09 (define @t203 () (tptp.relation_isomorphism @t1 @t2 @t41)) % 0.85/1.09 (define @t204 () (and @t42 @t185)) % 0.85/1.09 (define @t205 () (tptp.disjoint @t1 @t2)) % 0.85/1.09 (define @t206 () (tptp.meet_absorbing @t1)) % 0.85/1.09 (define @t207 () (tptp.latt_str @t1)) % 0.85/1.09 (define @t208 () (@list @t156)) % 0.85/1.09 (define @t209 () (tptp.relation_composition @t1 @t2)) % 0.85/1.09 (define @t210 () (@list @t41 @t75 @t87)) % 0.85/1.09 (define @t211 () (tptp.complements_of_subsets @t1 @t2)) % 0.85/1.09 (define @t212 () (tptp.powerset @t24)) % 0.85/1.09 (define @t213 () (tptp.element @t2 @t212)) % 0.85/1.09 (define @t214 () (not @t86)) % 0.85/1.09 (define @t215 () (tptp.function_inverse @t1)) % 0.85/1.09 (define @t216 () (tptp.apply_binary_as_element @t1 @t2 @t41 @t75 @t87 @t156)) % 0.85/1.09 (define @t217 () (tptp.function @t75)) % 0.85/1.09 (define @t218 () (not @t152)) % 0.85/1.09 (define @t219 () (and @t153 @t218 @t217 (tptp.quasi_total @t75 @t43 @t41) (tptp.relation_of2 @t75 @t43 @t41) (tptp.element @t87 @t1) (tptp.element @t156 @t2))) % 0.85/1.09 (define @t220 () (@list @t1 @t2 @t41 @t75 @t87 @t156)) % 0.85/1.09 (define @t221 () (tptp.powerset @t57)) % 0.85/1.09 (define @t222 () (tptp.element @t164 @t221)) % 0.85/1.09 (define @t223 () (forall @t13 (=> @t165 @t222))) % 0.85/1.09 (define @t224 () (tptp.relation @t200)) % 0.85/1.09 (define @t225 () (tptp.relation @t209)) % 0.85/1.09 (define @t226 () (and @t40 @t83)) % 0.85/1.09 (define @t227 () (tptp.powerset @t2)) % 0.85/1.09 (define @t228 () (tptp.relation_rng_as_subset @t1 @t2 @t41)) % 0.85/1.09 (define @t229 () (tptp.union_of_subsets @t1 @t2)) % 0.85/1.09 (define @t230 () (tptp.relation @t81)) % 0.85/1.09 (define @t231 () (tptp.meet_of_subsets @t1 @t2)) % 0.85/1.09 (define @t232 () (tptp.subset_difference @t1 @t2 @t41)) % 0.85/1.09 (define @t233 () (tptp.relation @t93)) % 0.85/1.09 (define @t234 () (tptp.relation @t104)) % 0.85/1.09 (define @t235 () (tptp.cartesian_product2 @t57 @t57)) % 0.85/1.09 (define @t236 () (tptp.finite @t65)) % 0.85/1.09 (define @t237 () (tptp.relation_composition @t2 @t1)) % 0.85/1.09 (define @t238 () (and @t22 @t83)) % 0.85/1.09 (define @t239 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.85/1.09 (define @t240 () (tptp.relation tptp.empty_set)) % 0.85/1.09 (define @t241 () (tptp.empty tptp.empty_set)) % 0.85/1.09 (define @t242 () (tptp.relation_empty_yielding @t1)) % 0.85/1.09 (define @t243 () (and @t40 @t242)) % 0.85/1.09 (define @t244 () (not (tptp.empty @t135))) % 0.85/1.09 (define @t245 () (not (tptp.empty @t24))) % 0.85/1.09 (define @t246 () (not (tptp.empty @t136))) % 0.85/1.09 (define @t247 () (and @t62 @t165)) % 0.85/1.09 (define @t248 () (tptp.v1_membered @t65)) % 0.85/1.09 (define @t249 () (tptp.v1_membered @t64)) % 0.85/1.09 (define @t250 () (tptp.v2_membered @t65)) % 0.85/1.09 (define @t251 () (tptp.ordinal @t136)) % 0.85/1.09 (define @t252 () (tptp.epsilon_connected @t136)) % 0.85/1.09 (define @t253 () (tptp.epsilon_transitive @t136)) % 0.85/1.09 (define @t254 () (tptp.v2_membered @t64)) % 0.85/1.09 (define @t255 () (tptp.v3_membered @t65)) % 0.85/1.09 (define @t256 () (tptp.v3_membered @t64)) % 0.85/1.09 (define @t257 () (tptp.v4_membered @t65)) % 0.85/1.09 (define @t258 () (tptp.v4_membered @t64)) % 0.85/1.09 (define @t259 () (tptp.v1_membered @t187)) % 0.85/1.09 (define @t260 () (tptp.v2_membered @t187)) % 0.85/1.09 (define @t261 () (tptp.v3_membered @t187)) % 0.85/1.09 (define @t262 () (tptp.v4_membered @t187)) % 0.85/1.09 (define @t263 () (and @t83 @t118)) % 0.85/1.09 (define @t264 () (tptp.empty @t96)) % 0.85/1.09 (define @t265 () (and @t153 @t40)) % 0.85/1.09 (define @t266 () (tptp.empty @t189)) % 0.85/1.09 (define @t267 () (tptp.in @t2 @t106)) % 0.85/1.09 (define @t268 () (tptp.disjoint @t135 @t2)) % 0.85/1.09 (define @t269 () (not @t5)) % 0.85/1.09 (define @t270 () (tptp.well_ordering @t2)) % 0.85/1.09 (define @t271 () (tptp.in (tptp.ordered_pair @t41 @t2) @t1)) % 0.85/1.09 (define @t272 () (tptp.singleton @t41)) % 0.85/1.09 (define @t273 () (not @t121)) % 0.85/1.09 (define @t274 () (tptp.singleton @t2)) % 0.85/1.09 (define @t275 () (tptp.union @t2)) % 0.85/1.09 (define @t276 () (tptp.in @t1 @t41)) % 0.85/1.09 (define @t277 () (tptp.element @t1 @t227)) % 0.85/1.09 (define @t278 () (tptp.relation_dom_restriction @t41 @t1)) % 0.85/1.09 (define @t279 () (tptp.in @t2 (tptp.relation_dom @t278))) % 0.85/1.09 (define @t280 () (tptp.one_to_one @t2)) % 0.85/1.09 (define @t281 () (tptp.element @t2 @t221)) % 0.85/1.09 (define @t282 () (tptp.set_intersection2 @t2 @t41)) % 0.85/1.09 (define @t283 () (tptp.set_difference @t2 @t41)) % 0.85/1.09 (define @t284 () (= @t232 @t283)) % 0.85/1.09 (define @t285 () (forall @t45 (=> @t72 @t284))) % 0.85/1.09 (define @t286 () (@var "K" $$unsorted)) % 0.85/1.09 (define @t287 () (@var "J" $$unsorted)) % 0.85/1.09 (define @t288 () (tptp.in @t286 @t287)) % 0.85/1.09 (define @t289 () (@list @t286)) % 0.85/1.09 (define @t290 () (@list @t287)) % 0.85/1.09 (define @t291 () (= @t75 @t87)) % 0.85/1.09 (define @t292 () (@var "I" $$unsorted)) % 0.85/1.09 (define @t293 () (@var "H" $$unsorted)) % 0.85/1.09 (define @t294 () (tptp.in @t292 @t293)) % 0.85/1.09 (define @t295 () (@list @t292)) % 0.85/1.09 (define @t296 () (@list @t293)) % 0.85/1.09 (define @t297 () (exists @t296 (and (= @t41 @t293) (tptp.in @t87 @t293) (forall @t295 (=> @t294 (tptp.in (tptp.ordered_pair @t87 @t292) @t2)))))) % 0.85/1.09 (define @t298 () (@var "G" $$unsorted)) % 0.85/1.09 (define @t299 () (tptp.in @t298 @t156)) % 0.85/1.09 (define @t300 () (@list @t298)) % 0.85/1.09 (define @t301 () (exists @t208 (and (= @t41 @t156) (tptp.in @t75 @t156) (forall @t300 (=> @t299 (tptp.in (tptp.ordered_pair @t75 @t298) @t2)))))) % 0.85/1.09 (define @t302 () (forall @t210 (=> (and @t77 @t301 @t77 @t297) @t291))) % 0.85/1.09 (define @t303 () (and @t153 @t83)) % 0.85/1.09 (define @t304 () (= @t75 @t274)) % 0.85/1.09 (define @t305 () (= @t41 @t274)) % 0.85/1.09 (define @t306 () (forall @t122 (=> (and @t3 @t305 @t3 @t304) @t76))) % 0.85/1.09 (define @t307 () (tptp.ordinal @t41)) % 0.85/1.09 (define @t308 () (@var "S" $$unsorted)) % 0.85/1.09 (define @t309 () (@var "T" $$unsorted)) % 0.85/1.09 (define @t310 () (@var "R" $$unsorted)) % 0.85/1.09 (define @t311 () (tptp.powerset (tptp.powerset @t75))) % 0.85/1.09 (define @t312 () (@list @t310)) % 0.85/1.09 (define @t313 () (tptp.in @t75 tptp.omega)) % 0.85/1.09 (define @t314 () (tptp.ordinal @t75)) % 0.85/1.09 (define @t315 () (@var "P" $$unsorted)) % 0.85/1.09 (define @t316 () (@var "Q" $$unsorted)) % 0.85/1.09 (define @t317 () (@var "O" $$unsorted)) % 0.85/1.09 (define @t318 () (@list @t316)) % 0.85/1.09 (define @t319 () (@list @t315)) % 0.85/1.09 (define @t320 () (@list @t317)) % 0.85/1.09 (define @t321 () (@var "M" $$unsorted)) % 0.85/1.09 (define @t322 () (@var "N" $$unsorted)) % 0.85/1.09 (define @t323 () (@var "L" $$unsorted)) % 0.85/1.09 (define @t324 () (@list @t322)) % 0.85/1.09 (define @t325 () (tptp.in @t321 @t323)) % 0.85/1.09 (define @t326 () (@list @t321)) % 0.85/1.09 (define @t327 () (@list @t323)) % 0.85/1.09 (define @t328 () (tptp.succ @t75)) % 0.85/1.09 (define @t329 () (=> @t313 (forall @t97 (=> (tptp.element @t87 @t311) (not (and (not (= @t87 tptp.empty_set)) (forall @t208 (not (and (tptp.in @t156 @t87) (forall @t300 (=> (and (tptp.in @t298 @t87) (tptp.subset @t156 @t298)) (= @t298 @t156)))))))))))) % 0.85/1.09 (define @t330 () (tptp.subset @t2 @t41)) % 0.85/1.09 (define @t331 () (tptp.powerset tptp.empty_set)) % 0.85/1.09 (define @t332 () (tptp.apply @t41 @t156)) % 0.85/1.09 (define @t333 () (tptp.in @t156 @t1)) % 0.85/1.09 (define @t334 () (tptp.relation @t75)) % 0.85/1.09 (define @t335 () (and @t83 @t42 @t185)) % 0.85/1.09 (define @t336 () (forall @t289 (=> @t288 (tptp.in (tptp.ordered_pair @t75 @t286) @t2)))) % 0.85/1.09 (define @t337 () (tptp.in @t75 @t287)) % 0.85/1.09 (define @t338 () (= @t156 @t87)) % 0.85/1.09 (define @t339 () (tptp.cartesian_product2 @t1 @t41)) % 0.85/1.09 (define @t340 () (= @t87 @t156)) % 0.85/1.09 (define @t341 () (tptp.ordered_pair @t286 @t323)) % 0.85/1.09 (define @t342 () (@list @t286 @t323)) % 0.85/1.09 (define @t343 () (= @t75 @t156)) % 0.85/1.09 (define @t344 () (tptp.in @t287 @t292)) % 0.85/1.09 (define @t345 () (tptp.in @t298 @t1)) % 0.85/1.09 (define @t346 () (tptp.ordered_pair @t298 @t293)) % 0.85/1.09 (define @t347 () (@list @t298 @t293)) % 0.85/1.09 (define @t348 () (@list @t75 @t87 @t156)) % 0.85/1.09 (define @t349 () (= @t87 @t75)) % 0.85/1.09 (define @t350 () (tptp.in @t293 @t1)) % 0.85/1.09 (define @t351 () (= @t41 @t87)) % 0.85/1.09 (define @t352 () (tptp.ordered_pair @t156 @t298)) % 0.85/1.09 (define @t353 () (@list @t156 @t298)) % 0.85/1.09 (define @t354 () (= @t75 @t41)) % 0.85/1.09 (define @t355 () (not (and (not (= @t156 tptp.empty_set)) (forall @t300 (not (and @t299 (forall @t296 (=> (and (tptp.in @t293 @t156) (tptp.subset @t298 @t293)) (= @t293 @t298))))))))) % 0.85/1.09 (define @t356 () (tptp.ordinal @t87)) % 0.85/1.09 (define @t357 () (and @t32 (tptp.element @t2 (tptp.powerset (tptp.powerset @t136))))) % 0.85/1.09 (define @t358 () (tptp.cartesian_product2 @t1 @t1)) % 0.85/1.09 (define @t359 () (tptp.apply @t41 @t298)) % 0.85/1.09 (define @t360 () (tptp.in (tptp.relation_image @t41 @t87) @t2)) % 0.85/1.09 (define @t361 () (tptp.powerset @t182)) % 0.85/1.09 (define @t362 () (and @t213 @t42 @t185)) % 0.85/1.09 (define @t363 () (tptp.succ @t2)) % 0.85/1.09 (define @t364 () (tptp.apply @t2 @t41)) % 0.85/1.09 (define @t365 () (= @t116 @t1)) % 0.85/1.09 (define @t366 () (exists @t11 (and @t83 @t118 @t365 (forall @t105 (=> @t77 (= @t364 @t272)))))) % 0.85/1.09 (define @t367 () (tptp.in @t1 tptp.omega)) % 0.85/1.09 (define @t368 () (= @t1 @t41)) % 0.85/1.09 (define @t369 () (tptp.relation_rng @t104)) % 0.85/1.09 (define @t370 () (forall @t105 (not (and @t170 (not (tptp.are_equipotent @t41 @t2)) @t161)))) % 0.85/1.09 (define @t371 () (tptp.powerset @t41)) % 0.85/1.09 (define @t372 () (forall @t80 (=> (and @t137 (tptp.subset @t75 @t41)) @t90))) % 0.85/1.09 (define @t373 () (tptp.relation_dom_restriction @t41 @t2)) % 0.85/1.09 (define @t374 () (tptp.relation_image @t2 @t1)) % 0.85/1.09 (define @t375 () (tptp.relation_inverse_image @t2 @t1)) % 0.85/1.09 (define @t376 () (tptp.relation_image @t2 @t375)) % 0.85/1.09 (define @t377 () (tptp.set_intersection2 @t116 @t1)) % 0.85/1.09 (define @t378 () (tptp.subset @t1 @t117)) % 0.85/1.09 (define @t379 () (tptp.relation_of2_as_subset @t75 @t41 @t2)) % 0.85/1.09 (define @t380 () (tptp.relation_rng @t75)) % 0.85/1.09 (define @t381 () (tptp.relation_of2_as_subset @t75 @t41 @t1)) % 0.85/1.09 (define @t382 () (tptp.relation_rng @t209)) % 0.85/1.09 (define @t383 () (tptp.relation_inverse_image @t41 @t2)) % 0.85/1.09 (define @t384 () (tptp.relation_restriction @t41 @t2)) % 0.85/1.09 (define @t385 () (= (tptp.subset_complement @t57 @t2) (tptp.subset_difference @t57 @t164 @t2))) % 0.85/1.09 (define @t386 () (forall @t11 (=> @t281 @t385))) % 0.85/1.09 (define @t387 () (=> @t165 @t386)) % 0.85/1.09 (define @t388 () (forall @t13 @t387)) % 0.85/1.09 (define @t389 () (not @t388)) % 0.85/1.09 (define @t390 () (tptp.relation_restriction @t2 @t1)) % 0.85/1.09 (define @t391 () (tptp.relation_dom_restriction @t2 @t1)) % 0.85/1.09 (define @t392 () (tptp.relation_field @t41)) % 0.85/1.09 (define @t393 () (tptp.in @t1 @t392)) % 0.85/1.09 (define @t394 () (tptp.subset @t1 @t41)) % 0.85/1.09 (define @t395 () (tptp.element @t1 @t2)) % 0.85/1.09 (define @t396 () (tptp.in @t1 @t182)) % 0.85/1.09 (define @t397 () (tptp.in @t195 @t41)) % 0.85/1.09 (define @t398 () (tptp.relation_field @t390)) % 0.85/1.09 (define @t399 () (tptp.apply @t41 @t1)) % 0.85/1.09 (define @t400 () (tptp.relation_composition @t41 @t2)) % 0.85/1.09 (define @t401 () (tptp.in @t1 (tptp.relation_dom @t400))) % 0.85/1.09 (define @t402 () (tptp.apply @t75 @t41)) % 0.85/1.09 (define @t403 () (and @t217 (tptp.quasi_total @t75 @t1 @t2) (tptp.relation_of2_as_subset @t75 @t1 @t2))) % 0.85/1.09 (define @t404 () (tptp.reflexive @t2)) % 0.85/1.09 (define @t405 () (tptp.connected @t2)) % 0.85/1.09 (define @t406 () (tptp.transitive @t2)) % 0.85/1.09 (define @t407 () (tptp.antisymmetric @t2)) % 0.85/1.09 (define @t408 () (tptp.well_ordering @t390)) % 0.85/1.09 (define @t409 () (= @t398 @t1)) % 0.85/1.09 (define @t410 () (tptp.well_orders @t2 @t1)) % 0.85/1.09 (define @t411 () (tptp.well_founded_relation @t2)) % 0.85/1.09 (define @t412 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.85/1.09 (define @t413 () (and @t77 @t137)) % 0.85/1.09 (define @t414 () (not @t205)) % 0.85/1.09 (define @t415 () (= @t1 @t363)) % 0.85/1.09 (define @t416 () (tptp.subset_complement @t1 @t41)) % 0.85/1.09 (define @t417 () (tptp.disjoint @t2 @t41)) % 0.85/1.09 (define @t418 () (tptp.relation_dom @t209)) % 0.85/1.09 (define @t419 () (tptp.element @t2 @t371)) % 0.85/1.09 (define @t420 () (tptp.in @t41 @t65)) % 0.85/1.09 (define @t421 () (and (tptp.in @t41 @t189) (= @t75 @t364))) % 0.85/1.09 (define @t422 () (tptp.function_inverse @t2)) % 0.85/1.09 (define @t423 () (= @t189 tptp.empty_set)) % 0.85/1.09 (define @t424 () (= @t96 tptp.empty_set)) % 0.85/1.09 (define @t425 () (= (tptp.apply @t278 @t2) (tptp.apply @t41 @t2))) % 0.85/1.09 (define @t426 () (= @t135 (tptp.unordered_pair @t2 @t41))) % 0.85/1.09 (define @t427 () (@var "BOUND_VARIABLE_15152" $$unsorted)) % 0.85/1.09 (define @t428 () (= (tptp.subset_complement @t57 @t427) (tptp.subset_difference @t57 @t164 @t427))) % 0.85/1.09 (define @t429 () (not (tptp.element @t427 @t221))) % 0.85/1.09 (define @t430 () (not @t165)) % 0.85/1.09 (define @t431 () (or @t430 @t429 @t428)) % 0.85/1.09 (define @t432 () (or @t429 @t428)) % 0.85/1.09 (define @t433 () (or @t430 @t432)) % 0.85/1.09 (define @t434 () (@list @t1 @t427)) % 0.85/1.09 (define @t435 () (forall @t434 @t433)) % 0.85/1.09 (define @t436 () (@list @t427)) % 0.85/1.09 (define @t437 () (forall @t436 @t433)) % 0.85/1.09 (define @t438 () (forall @t436 @t432)) % 0.85/1.09 (define @t439 () (or @t430 @t438)) % 0.85/1.09 (define @t440 () (forall @t11 (or (not @t281) @t385))) % 0.85/1.09 (define @t441 () (forall @t434 @t431)) % 0.85/1.09 (define @t442 () (@quantifiers_skolemize @t441 1)) % 0.85/1.09 (define @t443 () (@quantifiers_skolemize @t441 0)) % 0.85/1.09 (define @t444 () (tptp.cast_as_carrier_subset @t443)) % 0.85/1.09 (define @t445 () (tptp.the_carrier @t443)) % 0.85/1.09 (define @t446 () (tptp.subset_difference @t445 @t444 @t442)) % 0.85/1.09 (define @t447 () (tptp.subset_complement @t445 @t442)) % 0.85/1.09 (define @t448 () (= @t447 @t446)) % 0.85/1.09 (define @t449 () (tptp.powerset @t445)) % 0.85/1.09 (define @t450 () (tptp.element @t442 @t449)) % 0.85/1.09 (define @t451 () (not @t450)) % 0.85/1.09 (define @t452 () (tptp.one_sorted_str @t443)) % 0.85/1.09 (define @t453 () (not @t452)) % 0.85/1.09 (define @t454 () (or @t453 @t451 @t448)) % 0.85/1.09 (define @t455 () (@list true)) % 0.85/1.09 (define @t456 () (@list @t454)) % 0.85/1.09 (define @t457 () (= @t57 @t164)) % 0.85/1.09 (define @t458 () (@list @t443)) % 0.85/1.09 (define @t459 () (= @t445 @t444)) % 0.85/1.09 (define @t460 () (or @t453 @t459)) % 0.85/1.09 (define @t461 () (@list false false)) % 0.85/1.09 (define @t462 () (= @t187 @t192)) % 0.85/1.09 (define @t463 () (tptp.set_difference @t445 @t442)) % 0.85/1.09 (define @t464 () (or @t451 (= @t463 @t447))) % 0.85/1.09 (define @t465 () (not @t25)) % 0.85/1.09 (define @t466 () (forall @t6 (or @t465 @t462))) % 0.85/1.09 (define @t467 () (= @t447 @t463)) % 0.85/1.09 (define @t468 () (or @t451 @t467)) % 0.85/1.09 (define @t469 () (not @t71)) % 0.85/1.09 (define @t470 () (tptp.element @t444 @t449)) % 0.85/1.09 (define @t471 () (or @t453 @t470)) % 0.85/1.09 (define @t472 () (= @t446 (tptp.set_difference @t444 @t442))) % 0.85/1.09 (define @t473 () (not @t470)) % 0.85/1.09 (define @t474 () (or @t473 @t451 @t472)) % 0.85/1.09 (define @t475 () (and @t459 @t467 @t472)) % 0.85/1.09 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.85/1.09 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.85/1.09 (assume @p3 (forall @t13 (=> @t12 (forall @t11 (=> @t10 @t9))))) % 0.85/1.09 (assume @p4 (forall @t13 (=> @t15 (forall @t11 (=> @t10 (and @t9 @t14)))))) % 0.85/1.09 (assume @p5 (forall @t13 (=> @t17 (forall @t11 (=> @t10 (and @t9 @t14 @t16)))))) % 0.85/1.09 (assume @p6 (forall @t13 (=> @t19 (forall @t11 (=> @t10 (and @t9 @t14 @t18 @t16)))))) % 0.85/1.09 (assume @p7 (forall @t13 (=> @t21 (forall @t11 (=> @t10 (and @t9 @t20 @t14 @t18 @t16)))))) % 0.85/1.09 (assume @p8 (forall @t13 (=> @t22 (and @t12 @t15 @t17 @t19 @t21)))) % 0.85/1.09 (assume @p9 (forall @t13 (=> @t12 (forall @t11 (=> @t25 @t23))))) % 0.85/1.09 (assume @p10 (forall @t13 (=> @t15 (forall @t11 (=> @t25 (and @t23 @t26)))))) % 0.85/1.09 (assume @p11 (forall @t13 (=> @t17 (forall @t11 (=> @t25 (and @t23 @t26 @t27)))))) % 0.85/1.09 (assume @p12 (forall @t13 (=> @t19 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28)))))) % 0.85/1.09 (assume @p13 (forall @t13 (=> @t32 (forall @t11 (=> @t10 (and @t31 @t30 @t29)))))) % 0.85/1.09 (assume @p14 (forall @t13 (=> @t22 @t33))) % 0.85/1.09 (assume @p15 (forall @t13 (=> @t35 @t34))) % 0.85/1.09 (assume @p16 (forall @t13 (=> @t22 @t36))) % 0.85/1.09 (assume @p17 (forall @t13 (=> @t21 @t19))) % 0.85/1.09 (assume @p18 (forall @t13 (=> @t32 @t39))) % 0.85/1.09 (assume @p19 (forall @t13 (=> @t22 @t40))) % 0.85/1.09 (assume @p20 (forall @t45 (=> @t44 @t42))) % 0.85/1.09 (assume @p21 (forall @t13 (=> @t21 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28 (tptp.v5_membered @t2))))))) % 0.85/1.09 (assume @p22 (forall @t13 (=> (and @t22 @t32) @t47))) % 0.85/1.09 (assume @p23 (forall @t13 (=> @t33 (forall @t11 (=> @t25 @t48))))) % 0.85/1.09 (assume @p24 (forall @t13 (=> @t34 @t35))) % 0.85/1.09 (assume @p25 (forall @t13 (=> @t51 @t50))) % 0.85/1.09 (assume @p26 (forall @t13 (=> @t19 @t17))) % 0.85/1.09 (assume @p27 (forall @t13 (=> @t39 @t32))) % 0.85/1.09 (assume @p28 (forall @t13 (=> (tptp.element @t1 tptp.omega) @t47))) % 0.85/1.09 (assume @p29 (forall @t13 (=> @t17 @t15))) % 0.85/1.09 (assume @p30 (forall @t13 (=> @t22 @t52))) % 0.85/1.09 (assume @p31 (forall @t13 (=> @t15 @t12))) % 0.85/1.09 (assume @p32 (forall @t6 (= @t53 (tptp.unordered_pair @t2 @t1)))) % 0.85/1.09 (assume @p33 (forall @t6 (= @t55 @t54))) % 0.85/1.09 (assume @p34 (forall @t45 (=> @t63 (= @t56 (tptp.join_commut @t1 @t41 @t2))))) % 0.85/1.09 (assume @p35 (forall @t6 (= @t65 @t64))) % 0.85/1.09 (assume @p36 (forall @t45 (=> @t69 (= @t66 (tptp.meet_commut @t1 @t41 @t2))))) % 0.85/1.09 (assume @p37 (forall @t45 (=> @t72 (= @t70 (tptp.subset_intersection2 @t1 @t41 @t2))))) % 0.85/1.09 (assume @p38 (forall @t6 (=> @t74 (or @t73 (tptp.ordinal_subset @t2 @t1))))) % 0.85/1.09 (assume @p39 (forall @t6 (=> @t83 (= @t82 (forall @t80 (= @t79 (and @t77 @t76))))))) % 0.85/1.09 (assume @p40 (forall @t6 (= @t86 (and @t85 @t84)))) % 0.85/1.09 (assume @p41 (forall @t13 (=> @t40 (forall @t94 (=> @t42 (= (= @t41 @t93) (forall @t92 (= @t91 (and @t90 @t89))))))))) % 0.85/1.09 (assume @p42 (forall @t13 (=> @t102 (forall @t94 (= @t101 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t87 @t96) @t95 (= @t75 (tptp.apply @t1 @t87))))))))))) % 0.85/1.09 (assume @p43 (forall @t6 (=> @t83 (forall @t105 (=> @t42 (= (= @t41 @t104) (forall @t92 (= @t91 (and @t103 (tptp.in @t88 @t2)))))))))) % 0.85/1.09 (assume @p44 (forall @t13 (=> @t40 (= @t107 (tptp.is_antisymmetric_in @t1 @t106))))) % 0.85/1.09 (assume @p45 (forall @t13 (=> @t102 (forall @t94 (= @t110 (forall @t99 (= @t98 (and @t109 (tptp.in @t108 @t2))))))))) % 0.85/1.09 (assume @p46 (forall @t13 (=> @t40 (forall @t94 (= @t101 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t111 @t1) @t95))))))))) % 0.85/1.09 (assume @p47 (forall @t13 (=> @t40 (forall @t94 (= @t110 (forall @t99 (= @t98 (exists @t97 (and @t89 @t95))))))))) % 0.85/1.09 (assume @p48 (forall @t13 (=> @t40 (= @t112 (tptp.is_connected_in @t1 @t106))))) % 0.85/1.09 (assume @p49 (forall @t13 (=> @t40 (= @t113 (tptp.is_transitive_in @t1 @t106))))) % 0.85/1.09 (assume @p50 (forall @t115 (= (= @t75 (tptp.unordered_triple @t1 @t2 @t41)) (forall @t97 (= @t114 (not (and (not (= @t87 @t1)) (not (= @t87 @t2)) (not (= @t87 @t41))))))))) % 0.85/1.09 (assume @p51 (forall @t13 (= @t33 (exists @t11 (and @t83 @t118 (= @t117 @t1) (tptp.in @t116 tptp.omega)))))) % 0.85/1.09 (assume @p52 (forall @t13 (= @t36 (forall @t122 (=> (and @t121 @t119) @t76))))) % 0.85/1.09 (assume @p53 (forall @t45 (=> @t128 (and (=> (=> @t126 @t125) (= @t124 (= @t1 @t127))) (=> @t126 (or @t125 (= @t124 @t123))))))) % 0.85/1.09 (assume @p54 (forall @t13 (=> @t131 (forall @t11 (=> @t59 (forall @t105 (=> @t58 (= @t130 (tptp.apply_binary_as_element @t57 @t57 @t57 @t129 @t2 @t41))))))))) % 0.85/1.09 (assume @p55 (forall @t13 (=> @t134 (forall @t11 (= (= @t2 (tptp.pair_first @t1)) (forall @t80 (=> @t133 @t132))))))) % 0.85/1.09 (assume @p56 (forall @t13 (= @t136 (tptp.set_union2 @t1 @t135)))) % 0.85/1.09 (assume @p57 (forall @t13 (= @t40 (forall @t11 (not (and @t3 (forall @t80 (not (= @t2 @t78))))))))) % 0.85/1.09 (assume @p58 (forall @t13 (=> @t40 (forall @t11 (= @t138 (forall @t105 (=> @t137 (tptp.in (tptp.ordered_pair @t41 @t41) @t1)))))))) % 0.85/1.09 (assume @p59 (forall @t45 (= @t139 (tptp.subset @t41 @t43)))) % 0.85/1.09 (assume @p60 (forall @t6 (and (=> @t143 (= @t140 (forall @t105 (= @t137 (forall @t99 (=> @t142 @t141)))))) (=> @t125 (= @t140 @t126))))) % 0.85/1.09 (assume @p61 (forall @t6 (= (= @t2 @t135) (forall @t105 (= @t137 (= @t41 @t1)))))) % 0.85/1.09 (assume @p62 (forall @t13 (=> @t40 (forall @t94 (= (= @t41 (tptp.fiber @t1 @t2)) (forall @t99 (= @t98 (and (not @t144) (tptp.in (tptp.ordered_pair @t75 @t2) @t1))))))))) % 0.85/1.09 (assume @p63 (forall @t6 (=> @t83 (= (= @t2 @t147) (and (= @t146 @t1) (forall @t80 (=> (and @t77 @t142) (= @t79 @t145)))))))) % 0.85/1.09 (assume @p64 (forall @t13 (= @t125 (forall @t11 @t4)))) % 0.85/1.09 (assume @p65 (forall @t6 (= (= @t2 @t24) (forall @t105 (= @t137 (tptp.subset @t41 @t1)))))) % 0.85/1.09 (assume @p66 (forall @t13 (=> (and @t62 @t67) (forall @t11 (=> @t59 (forall @t105 (=> @t58 (= @t149 (tptp.apply_binary_as_element @t57 @t57 @t57 @t148 @t2 @t41))))))))) % 0.85/1.09 (assume @p67 (forall @t13 (=> @t134 (forall @t11 (= (= @t2 (tptp.pair_second @t1)) (forall @t80 (=> @t133 @t150))))))) % 0.85/1.09 (assume @p68 (forall @t13 (= @t38 (forall @t11 (=> @t3 @t84))))) % 0.85/1.09 (assume @p69 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= @t86 (forall @t80 (= @t151 @t79)))))))) % 0.85/1.09 (assume @p70 (forall @t6 (and (=> @t153 (= @t10 @t3)) (=> @t22 (= @t10 @t152))))) % 0.85/1.09 (assume @p71 (forall @t45 (= (= @t41 @t53) (forall @t99 (= @t98 (or (= @t75 @t1) @t144)))))) % 0.85/1.09 (assume @p72 (forall @t13 (=> @t40 (= @t155 (forall @t11 (not (and (tptp.subset @t2 @t106) @t154 (forall @t105 (not (and @t137 (tptp.disjoint (tptp.fiber @t1 @t41) @t2))))))))))) % 0.85/1.09 (assume @p73 (forall @t45 (= (= @t41 @t55) (forall @t99 (= @t98 (or @t142 @t90)))))) % 0.85/1.09 (assume @p74 (forall @t45 (= (= @t41 @t43) (forall @t99 (= @t98 (exists @t159 (and @t103 @t158 (= @t75 @t157)))))))) % 0.85/1.09 (assume @p75 (forall @t13 (=> @t131 (forall @t11 (=> @t59 (forall @t105 (=> @t58 (= @t160 (= @t130 @t41))))))))) % 0.85/1.09 (assume @p76 (forall @t13 (= @t37 (forall @t94 (not (and @t3 @t77 (not @t163) @t162 @t161)))))) % 0.85/1.09 (assume @p77 @t167) % 0.85/1.09 (assume @p78 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= @t85 (forall @t80 (=> @t151 @t79)))))))) % 0.85/1.09 (assume @p79 (forall @t6 (= @t85 @t168))) % 0.85/1.09 (assume @p80 (forall @t13 (=> @t40 (forall @t11 (= @t171 (forall @t105 (not (and @t170 @t169 (forall @t99 (not (and @t98 (tptp.disjoint (tptp.fiber @t1 @t75) @t41)))))))))))) % 0.85/1.09 (assume @p81 (forall @t45 (= (= @t41 @t65) (forall @t99 (= @t98 (and @t142 @t90)))))) % 0.85/1.09 (assume @p82 (forall @t13 (=> @t102 (forall @t94 (and (=> @t174 (= @t173 @t121)) (=> (not @t174) (= @t173 @t123))))))) % 0.85/1.09 (assume @p83 (forall @t13 (= @t32 @t39))) % 0.85/1.09 (assume @p84 (forall @t13 (=> @t40 (forall @t11 (= (= @t2 @t96) (forall @t105 (= @t137 (exists @t99 @t151)))))))) % 0.85/1.09 (assume @p85 (forall @t13 (=> @t40 (forall @t11 (= @t176 (forall @t80 (=> (and @t137 @t90 @t151 @t175) @t76))))))) % 0.85/1.09 (assume @p86 (forall @t13 (= @t177 @t1))) % 0.85/1.09 (assume @p87 (forall @t6 (= (= @t2 @t178) (forall @t105 (= @t137 (exists @t99 (and @t141 @t142))))))) % 0.85/1.09 (assume @p88 (forall @t13 (=> @t40 (= @t180 (and @t179 @t113 @t107 @t112 @t155))))) % 0.85/1.09 (assume @p89 (forall @t6 (= @t186 (exists @t105 (and @t42 @t185 @t184 @t183 (= @t181 @t2)))))) % 0.85/1.09 (assume @p90 (forall @t45 (= (= @t41 @t187) (forall @t99 (= @t98 (and @t142 (not @t90))))))) % 0.85/1.09 (assume @p91 (forall @t13 (=> @t102 (forall @t11 (= @t190 (forall @t105 (= @t137 (exists @t99 @t188)))))))) % 0.85/1.09 (assume @p92 (forall @t13 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t191 @t32 (forall @t11 (=> @t29 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t85))))))) % 0.85/1.09 (assume @p93 (forall @t13 (=> @t40 (forall @t11 (= @t190 (forall @t105 (= @t137 (exists @t99 @t175)))))))) % 0.85/1.09 (assume @p94 @t194) % 0.85/1.09 (assume @p95 (forall @t6 (= @t195 (tptp.unordered_pair @t53 @t135)))) % 0.85/1.09 (assume @p96 (forall @t13 (=> @t40 (forall @t11 (= (tptp.well_orders @t1 @t2) (and @t138 @t197 @t176 @t196 @t171)))))) % 0.85/1.09 (assume @p97 (forall @t13 (= @t191 (= @t1 @t178)))) % 0.85/1.09 (assume @p98 (forall @t13 (=> @t40 (= @t106 (tptp.set_union2 @t96 @t189))))) % 0.85/1.09 (assume @p99 (forall @t13 (=> @t40 (forall @t11 (= @t196 (forall @t80 (not (and @t137 @t90 (not @t76) (not @t151) (not @t175))))))))) % 0.85/1.09 (assume @p100 (forall @t13 (=> @t40 (forall @t11 (= @t199 (tptp.set_intersection2 @t1 @t198)))))) % 0.85/1.09 (assume @p101 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= (= @t2 @t200) (forall @t80 (= @t79 @t175)))))))) % 0.85/1.09 (assume @p102 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t204 (= @t203 (and (= @t182 @t106) (= @t181 @t146) @t184 (forall @t92 (= @t89 (and (tptp.in @t75 @t106) (tptp.in @t87 @t106) (tptp.in (tptp.ordered_pair @t202 @t201) @t2))))))))))))) % 0.85/1.09 (assume @p103 (forall @t6 (= @t205 (= @t65 tptp.empty_set)))) % 0.85/1.09 (assume @p104 (forall @t13 (=> @t102 (= @t49 (forall @t94 (=> (and @t174 (tptp.in @t41 @t96) (= @t172 (tptp.apply @t1 @t41))) @t132)))))) % 0.85/1.09 (assume @p105 (forall @t13 (=> (and @t62 @t207) (= @t206 (forall @t11 (=> @t59 (forall @t105 (=> @t58 (= (tptp.join @t1 @t149 @t41) @t41))))))))) % 0.85/1.09 (assume @p106 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t42 (= (= @t41 @t209) (forall @t92 (= @t91 (exists @t208 (and (tptp.in (tptp.ordered_pair @t75 @t156) @t1) (tptp.in (tptp.ordered_pair @t156 @t87) @t2))))))))))))) % 0.85/1.09 (assume @p107 (forall @t13 (=> @t40 (forall @t11 (= @t197 (forall @t210 (=> (and @t137 @t90 @t95 @t151 @t89) (tptp.in (tptp.ordered_pair @t41 @t87) @t1)))))))) % 0.85/1.09 (assume @p108 (forall @t6 (=> @t213 (forall @t105 (=> (tptp.element @t41 @t212) (= (= @t41 @t211) (forall @t99 (=> (tptp.element @t75 @t24) (= @t98 (tptp.in (tptp.subset_complement @t1 @t75) @t2)))))))))) % 0.85/1.09 (assume @p109 (forall @t6 (= @t8 (and @t85 @t214)))) % 0.85/1.09 (assume @p110 (forall @t13 (=> @t102 (=> @t49 (= @t215 @t200))))) % 0.85/1.09 (assume @p111 (forall @t13 (=> @t40 (= @t179 (tptp.is_reflexive_in @t1 @t106))))) % 0.85/1.09 (assume @p112 true) % 0.85/1.09 (assume @p113 (forall @t45 (=> (and @t62 @t60 @t59 @t58) (tptp.element @t130 @t57)))) % 0.85/1.09 (assume @p114 (forall @t13 (tptp.relation @t147))) % 0.85/1.09 (assume @p115 (forall @t220 (=> @t219 (tptp.element @t216 @t41)))) % 0.85/1.09 (assume @p116 (forall @t13 (=> @t102 (and (tptp.relation @t215) (tptp.function @t215))))) % 0.85/1.09 (assume @p117 (forall @t45 (=> (and @t62 @t67 @t59 @t58) (tptp.element @t149 @t57)))) % 0.85/1.09 (assume @p118 @t223) % 0.85/1.09 (assume @p119 (forall @t13 (tptp.element @t177 @t24))) % 0.85/1.09 (assume @p120 (forall @t6 (=> @t40 (tptp.relation @t199)))) % 0.85/1.09 (assume @p121 (forall @t45 (=> @t63 (tptp.element @t56 @t57)))) % 0.85/1.09 (assume @p122 (forall @t6 (=> @t25 (tptp.element @t192 @t24)))) % 0.85/1.09 (assume @p123 (forall @t45 (=> @t69 (tptp.element @t66 @t57)))) % 0.85/1.09 (assume @p124 (forall @t13 (=> @t40 @t224))) % 0.85/1.09 (assume @p125 (forall @t45 (=> @t139 (tptp.element @t127 @t24)))) % 0.85/1.09 (assume @p126 (forall @t6 (=> @t226 @t225))) % 0.85/1.09 (assume @p127 (forall @t45 (=> @t139 (tptp.element @t228 @t227)))) % 0.85/1.09 (assume @p128 (forall @t6 (=> @t213 (tptp.element @t229 @t24)))) % 0.85/1.09 (assume @p129 (forall @t45 (=> @t72 (tptp.element @t70 @t24)))) % 0.85/1.09 (assume @p130 (forall @t13 @t230)) % 0.85/1.09 (assume @p131 (forall @t6 (=> @t213 (tptp.element @t231 @t24)))) % 0.85/1.09 (assume @p132 (forall @t45 (=> @t72 (tptp.element @t232 @t24)))) % 0.85/1.09 (assume @p133 (forall @t6 (=> @t40 @t233))) % 0.85/1.09 (assume @p134 (forall @t6 (=> @t213 (tptp.element @t211 @t212)))) % 0.85/1.09 (assume @p135 (forall @t6 (=> @t83 @t234))) % 0.85/1.09 (assume @p136 (forall @t13 (=> @t67 @t165))) % 0.85/1.09 (assume @p137 (forall @t13 (=> @t60 @t165))) % 0.85/1.09 (assume @p138 (forall @t13 (=> @t207 (and @t67 @t60)))) % 0.85/1.09 (assume @p139 (forall @t45 (=> @t128 @t44))) % 0.85/1.09 (assume @p140 (forall @t13 (=> @t67 (and (tptp.function @t148) (tptp.quasi_total @t148 @t235 @t57) (tptp.relation_of2_as_subset @t148 @t235 @t57))))) % 0.85/1.09 (assume @p141 (forall @t13 (=> @t60 (and (tptp.function @t129) (tptp.quasi_total @t129 @t235 @t57) (tptp.relation_of2_as_subset @t129 @t235 @t57))))) % 0.85/1.09 (assume @p142 (exists @t13 @t67)) % 0.85/1.09 (assume @p143 (exists @t13 @t165)) % 0.85/1.09 (assume @p144 (exists @t13 @t60)) % 0.85/1.09 (assume @p145 (exists @t13 @t207)) % 0.85/1.09 (assume @p146 (forall @t6 (exists @t105 @t139))) % 0.85/1.09 (assume @p147 (forall @t13 (exists @t11 @t10))) % 0.85/1.09 (assume @p148 (forall @t6 (exists @t105 @t128))) % 0.85/1.09 (assume @p149 (forall @t6 (=> @t48 @t236))) % 0.85/1.09 (assume @p150 (forall @t6 (=> @t238 (and (tptp.empty @t237) (tptp.relation @t237))))) % 0.85/1.09 (assume @p151 (forall @t6 (=> @t33 @t236))) % 0.85/1.09 (assume @p152 (forall @t13 (=> @t22 (and (tptp.empty @t200) @t224)))) % 0.85/1.09 (assume @p153 (forall @t6 (=> @t33 (tptp.finite @t187)))) % 0.85/1.09 (assume @p154 (and @t241 @t240 @t239)) % 0.85/1.09 (assume @p155 (forall @t6 (=> (and @t40 @t36 @t48) (tptp.finite @t100)))) % 0.85/1.09 (assume @p156 (forall @t6 (=> @t243 (and @t233 (tptp.relation_empty_yielding @t93))))) % 0.85/1.09 (assume @p157 (forall @t13 (and @t244 (tptp.finite @t135)))) % 0.85/1.09 (assume @p158 (forall @t13 (and @t245 (tptp.cup_closed @t24) (tptp.diff_closed @t24) (tptp.preboolean @t24)))) % 0.85/1.09 (assume @p159 (forall @t6 (=> (and @t40 @t36 @t83 @t118) (and @t225 (tptp.function @t209))))) % 0.85/1.09 (assume @p160 (forall @t13 @t246)) % 0.85/1.09 (assume @p161 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 0.85/1.09 (assume @p162 (forall @t6 (=> @t226 (tptp.relation @t65)))) % 0.85/1.09 (assume @p163 (forall @t13 (=> @t247 (not (tptp.empty @t57))))) % 0.85/1.09 (assume @p164 (forall @t13 @t245)) % 0.85/1.09 (assume @p165 @t241) % 0.85/1.09 (assume @p166 (forall @t6 (not (tptp.empty @t195)))) % 0.85/1.09 (assume @p167 (forall @t6 (=> @t12 @t248))) % 0.85/1.09 (assume @p168 (forall @t6 (=> @t12 @t249))) % 0.85/1.09 (assume @p169 (forall @t6 (=> @t15 (and @t248 @t250)))) % 0.85/1.09 (assume @p170 (forall @t13 (=> (and @t32 @t46) (and @t246 @t253 @t252 @t251 (tptp.natural @t136))))) % 0.85/1.09 (assume @p171 (forall @t13 (and @t230 (tptp.function @t81)))) % 0.85/1.09 (assume @p172 (and @t240 @t239 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t241 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.85/1.09 (assume @p173 (forall @t6 (=> @t226 (tptp.relation @t55)))) % 0.85/1.09 (assume @p174 (forall @t13 @t244)) % 0.85/1.09 (assume @p175 (forall @t6 (=> @t153 (not (tptp.empty @t55))))) % 0.85/1.09 (assume @p176 (forall @t6 (=> @t15 (and @t249 @t254)))) % 0.85/1.09 (assume @p177 (forall @t6 (=> @t17 (and @t248 @t250 @t255)))) % 0.85/1.09 (assume @p178 (forall @t6 (=> @t17 (and @t249 @t254 @t256)))) % 0.85/1.09 (assume @p179 (forall @t6 (=> @t19 (and @t248 @t250 @t255 @t257)))) % 0.85/1.09 (assume @p180 (forall @t6 (=> @t19 (and @t249 @t254 @t256 @t258)))) % 0.85/1.09 (assume @p181 (forall @t6 (=> @t21 (and @t248 @t250 @t255 @t257 (tptp.v5_membered @t65))))) % 0.85/1.09 (assume @p182 (forall @t6 (=> @t21 (and @t249 @t254 @t256 @t258 (tptp.v5_membered @t64))))) % 0.85/1.09 (assume @p183 (forall @t6 (=> @t12 @t259))) % 0.85/1.09 (assume @p184 (forall @t6 (=> @t15 (and @t259 @t260)))) % 0.85/1.09 (assume @p185 (forall @t6 (=> @t17 (and @t259 @t260 @t261)))) % 0.85/1.09 (assume @p186 (forall @t13 (=> @t50 (and @t224 (tptp.function @t200))))) % 0.85/1.09 (assume @p187 (forall @t13 (=> @t32 (and @t246 @t253 @t252 @t251)))) % 0.85/1.09 (assume @p188 (forall @t6 (=> @t226 (tptp.relation @t187)))) % 0.85/1.09 (assume @p189 (forall @t6 (not (tptp.empty @t53)))) % 0.85/1.09 (assume @p190 (forall @t6 (=> @t153 (not (tptp.empty @t54))))) % 0.85/1.09 (assume @p191 (forall @t6 (=> @t19 (and @t259 @t260 @t261 @t262)))) % 0.85/1.09 (assume @p192 (forall @t6 (=> @t21 (and @t259 @t260 @t261 @t262 (tptp.v5_membered @t187))))) % 0.85/1.09 (assume @p193 (forall @t6 (=> @t102 (and @t233 (tptp.function @t93))))) % 0.85/1.09 (assume @p194 (forall @t13 (=> @t32 (and (tptp.epsilon_transitive @t178) (tptp.epsilon_connected @t178) (tptp.ordinal @t178))))) % 0.85/1.09 (assume @p195 (and @t241 @t240)) % 0.85/1.09 (assume @p196 (forall @t6 (=> (and @t153 @t218) (not (tptp.empty @t43))))) % 0.85/1.09 (assume @p197 (forall @t6 (=> @t263 (and @t234 (tptp.function @t104))))) % 0.85/1.09 (assume @p198 (forall @t13 (=> @t265 (not @t264)))) % 0.85/1.09 (assume @p199 (and @t241 (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set))) % 0.85/1.09 (assume @p200 (forall @t13 (=> @t265 (not @t266)))) % 0.85/1.09 (assume @p201 (forall @t13 (=> @t22 (and @t264 (tptp.relation @t96))))) % 0.85/1.09 (assume @p202 (forall @t13 (=> @t22 (and @t266 (tptp.relation @t189))))) % 0.85/1.09 (assume @p203 (forall @t6 (=> (and @t33 @t48) (tptp.finite @t55)))) % 0.85/1.09 (assume @p204 (forall @t6 (=> @t238 (and (tptp.empty @t209) @t225)))) % 0.85/1.09 (assume @p205 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.85/1.09 (assume @p206 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.85/1.09 (assume @p207 (forall @t45 (=> @t72 (= (tptp.subset_intersection2 @t1 @t2 @t2) @t2)))) % 0.85/1.09 (assume @p208 (forall @t6 (=> @t25 (= (tptp.subset_complement @t1 @t192) @t2)))) % 0.85/1.09 (assume @p209 (forall @t13 (=> @t40 (= (tptp.relation_inverse @t200) @t1)))) % 0.85/1.09 (assume @p210 (forall @t6 (=> @t213 (= (tptp.complements_of_subsets @t1 @t211) @t2)))) % 0.85/1.09 (assume @p211 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.85/1.09 (assume @p212 (forall @t13 (=> @t40 (= @t179 (forall @t11 (=> @t267 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 0.85/1.09 (assume @p213 (forall @t13 (not (= @t135 tptp.empty_set)))) % 0.85/1.09 (assume @p214 (forall @t6 (=> @t5 (= (tptp.set_union2 @t135 @t2) @t2)))) % 0.85/1.09 (assume @p215 (forall @t6 (not (and @t268 @t5)))) % 0.85/1.09 (assume @p216 (forall @t6 (=> @t269 @t268))) % 0.85/1.09 (assume @p217 (forall @t6 (=> @t83 (tptp.subset (tptp.relation_dom @t104) @t116)))) % 0.85/1.09 (assume @p218 (forall @t13 (=> @t40 (= @t113 (forall @t122 (=> (and @t121 @t151) @t119)))))) % 0.85/1.09 (assume @p219 (forall @t6 (= (tptp.subset @t135 @t2) @t5))) % 0.85/1.09 (assume @p220 (forall @t6 (=> @t83 (not (and @t270 (tptp.equipotent @t1 @t146) (forall @t105 (=> @t42 (not (tptp.well_orders @t41 @t1))))))))) % 0.85/1.09 (assume @p221 (forall @t6 (= (= @t187 tptp.empty_set) @t85))) % 0.85/1.09 (assume @p222 (forall @t6 (=> @t25 (forall @t105 (=> @t137 @t77))))) % 0.85/1.09 (assume @p223 (forall @t13 (=> @t40 (= @t107 (forall @t94 (=> (and @t121 @t271) @t132)))))) % 0.85/1.09 (assume @p224 (forall @t45 (=> @t85 (or @t77 (tptp.subset @t1 (tptp.set_difference @t2 @t272)))))) % 0.85/1.09 (assume @p225 (forall @t13 (=> @t40 (= @t112 (forall @t94 (not (and @t267 (tptp.in @t41 @t106) @t162 @t273 (not @t271)))))))) % 0.85/1.09 (assume @p226 (forall @t6 (= (tptp.subset @t1 @t274) (or @t125 (= @t1 @t274))))) % 0.85/1.09 (assume @p227 (forall @t6 (=> @t5 (tptp.subset @t1 @t275)))) % 0.85/1.09 (assume @p228 (forall @t115 (= (tptp.in @t195 (tptp.cartesian_product2 @t41 @t75)) (and @t276 (tptp.in @t2 @t75))))) % 0.85/1.09 (assume @p229 (forall @t6 (=> @t168 @t277))) % 0.85/1.09 (assume @p230 (forall @t45 (=> @t204 (= @t279 (and (tptp.in @t2 @t182) @t3))))) % 0.85/1.09 (assume @p231 (exists @t13 (and @t153 @t38 @t37 @t32 @t46))) % 0.85/1.09 (assume @p232 (exists @t13 (and @t153 @t33))) % 0.85/1.09 (assume @p233 (exists @t13 @t102)) % 0.85/1.09 (assume @p234 (forall @t6 (exists @t105 (and @t139 @t42 @t185 @t124)))) % 0.85/1.09 (assume @p235 (exists @t13 (and @t153 @t12 @t15 @t17 @t19 @t21))) % 0.85/1.09 (assume @p236 (exists @t13 @t52)) % 0.85/1.09 (assume @p237 (exists @t13 (and @t38 @t37 @t32 @t191))) % 0.85/1.09 (assume @p238 (exists @t13 (and @t40 @t36 @t49 @t22))) % 0.85/1.09 (assume @p239 (exists @t13 (and @t22 @t40))) % 0.85/1.09 (assume @p240 (forall @t13 (=> @t153 (exists @t11 (and @t25 @t218))))) % 0.85/1.09 (assume @p241 (exists @t13 @t22)) % 0.85/1.09 (assume @p242 (forall @t13 (exists @t11 (and @t25 @t152 @t83 @t118 @t280 @t31 @t30 @t29 @t20 @t48)))) % 0.85/1.09 (assume @p243 (exists @t13 @t51)) % 0.85/1.09 (assume @p244 (exists @t13 (and @t40 @t36 @t49 @t22 @t38 @t37 @t32))) % 0.85/1.09 (assume @p245 (forall @t6 (exists @t105 (and @t139 @t42 @t185)))) % 0.85/1.09 (assume @p246 (exists @t13 @t265)) % 0.85/1.09 (assume @p247 (forall @t13 (exists @t11 (and @t25 @t152)))) % 0.85/1.09 (assume @p248 (exists @t13 @t153)) % 0.85/1.09 (assume @p249 (forall @t13 (=> @t153 (exists @t11 (and @t25 @t218 @t48))))) % 0.85/1.09 (assume @p250 (exists @t13 @t50)) % 0.85/1.09 (assume @p251 (exists @t13 (and @t153 @t38 @t37 @t32))) % 0.85/1.09 (assume @p252 (exists @t13 @t243)) % 0.85/1.09 (assume @p253 (exists @t13 (and @t165 @t62))) % 0.85/1.09 (assume @p254 (exists @t13 (and @t40 @t242 @t36))) % 0.85/1.09 (assume @p255 (forall @t13 (=> @t247 (exists @t11 (and @t281 @t218))))) % 0.85/1.09 (assume @p256 (forall @t220 (=> @t219 (= @t216 (tptp.apply_binary @t75 @t87 @t156))))) % 0.85/1.09 (assume @p257 (forall @t45 (=> @t63 (= @t56 @t130)))) % 0.85/1.09 (assume @p258 (forall @t45 (=> @t69 (= @t66 @t149)))) % 0.85/1.09 (assume @p259 (forall @t45 (=> @t139 (= @t127 @t182)))) % 0.85/1.09 (assume @p260 (forall @t45 (=> @t139 (= @t228 @t181)))) % 0.85/1.09 (assume @p261 (forall @t6 (=> @t213 (= @t229 @t275)))) % 0.85/1.09 (assume @p262 (forall @t45 (=> @t72 (= @t70 @t282)))) % 0.85/1.09 (assume @p263 (forall @t6 (=> @t213 (= @t231 (tptp.set_meet @t2))))) % 0.85/1.09 (assume @p264 @t285) % 0.85/1.09 (assume @p265 (forall @t45 (= @t128 @t139))) % 0.85/1.09 (assume @p266 (forall @t6 (=> @t74 (= @t73 @t85)))) % 0.85/1.09 (assume @p267 (forall @t6 (= @t186 (tptp.are_equipotent @t1 @t2)))) % 0.85/1.09 (assume @p268 (forall @t6 (=> @t74 (tptp.ordinal_subset @t1 @t1)))) % 0.85/1.09 (assume @p269 (forall @t6 (tptp.subset @t1 @t1))) % 0.85/1.09 (assume @p270 (forall @t6 (tptp.equipotent @t1 @t1))) % 0.85/1.09 (assume @p271 (forall @t6 (=> @t303 (=> @t302 (exists @t105 (and @t42 @t185 (forall @t92 (= @t91 (and @t142 @t142 (exists @t290 (and (= @t75 @t287) (tptp.in @t87 @t287) (forall @t289 (=> @t288 (tptp.in (tptp.ordered_pair @t87 @t286) @t2)))))))))))))) % 0.85/1.09 (assume @p272 (forall @t13 (=> @t306 (exists @t11 (and @t83 @t118 (forall @t80 (= @t79 (and @t77 @t77 (= @t75 @t272))))))))) % 0.85/1.09 (assume @p273 (forall @t13 (=> (exists @t11 (and @t29 @t3)) (exists @t11 (and @t29 @t3 (forall @t105 (=> @t307 (=> @t77 (tptp.ordinal_subset @t2 @t41))))))))) % 0.85/1.09 (assume @p274 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t13 (=> (tptp.element @t1 (tptp.powerset @t331)) (not (and @t143 (forall @t11 (not (and @t3 (forall @t105 (=> (and @t77 @t330) (= @t41 @t2))))))))))) (forall @t99 (=> @t314 (=> @t329 (=> (tptp.in @t328 tptp.omega) (forall @t296 (=> (tptp.element @t293 (tptp.powerset (tptp.powerset @t328))) (not (and (not (= @t293 tptp.empty_set)) (forall @t295 (not (and @t294 (forall @t290 (=> (and (tptp.in @t287 @t293) (tptp.subset @t292 @t287)) (= @t287 @t292)))))))))))))) (forall @t99 (=> @t314 (=> (and (tptp.being_limit_ordinal @t75) (forall @t289 (=> (tptp.ordinal @t286) (=> (tptp.in @t286 @t75) (=> (tptp.in @t286 tptp.omega) (forall @t327 (=> (tptp.element @t323 (tptp.powerset (tptp.powerset @t286))) (not (and (not (= @t323 tptp.empty_set)) (forall @t326 (not (and @t325 (forall @t324 (=> (and (tptp.in @t322 @t323) (tptp.subset @t321 @t322)) (= @t322 @t321))))))))))))))) (or (= @t75 tptp.empty_set) (=> @t313 (forall @t320 (=> (tptp.element @t317 @t311) (not (and (not (= @t317 tptp.empty_set)) (forall @t319 (not (and (tptp.in @t315 @t317) (forall @t318 (=> (and (tptp.in @t316 @t317) (tptp.subset @t315 @t316)) (= @t316 @t315)))))))))))))))) (forall @t99 (=> @t314 (=> @t313 (forall @t312 (=> (tptp.element @t310 @t311) (not (and (not (= @t310 tptp.empty_set)) (forall (@list @t308) (not (and (tptp.in @t308 @t310) (forall (@list @t309) (=> (and (tptp.in @t309 @t310) (tptp.subset @t308 @t309)) (= @t309 @t308))))))))))))))) % 0.85/1.09 (assume @p275 (forall @t45 (=> @t335 (exists @t99 (and @t334 (forall @t159 (= (tptp.in @t157 @t75) (and @t103 @t333 (tptp.in (tptp.ordered_pair @t201 @t332) @t2))))))))) % 0.85/1.09 (assume @p276 (forall @t6 (=> @t303 (=> @t302 (exists @t105 (forall @t99 (= @t98 (exists @t97 (and @t103 @t103 (exists @t290 (and (= @t87 @t287) @t337 @t336))))))))))) % 0.85/1.09 (assume @p277 (forall @t6 (=> @t303 (forall @t105 (=> (forall @t348 (=> (and @t291 (exists @t347 (and (= @t346 @t87) @t345 (exists @t295 (and (= @t298 @t292) (tptp.in @t293 @t292) (forall @t290 (=> @t344 (tptp.in (tptp.ordered_pair @t293 @t287) @t2))))))) @t343 (exists @t342 (and (= @t341 @t156) (tptp.in @t286 @t1) (exists @t326 (and (= @t286 @t321) (tptp.in @t323 @t321) (forall @t324 (=> (tptp.in @t322 @t321) (tptp.in (tptp.ordered_pair @t323 @t322) @t2)))))))) @t340)) (exists @t99 (forall @t97 (= @t114 (exists @t208 (and (tptp.in @t156 @t339) @t338 (exists (@list @t317 @t315) (and (= (tptp.ordered_pair @t317 @t315) @t87) (tptp.in @t317 @t1) (exists @t318 (and (= @t317 @t316) (tptp.in @t315 @t316) (forall @t312 (=> (tptp.in @t310 @t316) (tptp.in (tptp.ordered_pair @t315 @t310) @t2))))))))))))))))) % 0.85/1.09 (assume @p278 (forall @t13 (=> @t306 (exists @t11 (forall @t105 (= @t137 (exists @t99 (and @t142 @t142 (= @t41 (tptp.singleton @t75)))))))))) % 0.85/1.09 (assume @p279 (forall @t6 (=> (forall @t210 (=> (and @t76 (exists @t353 (and (= @t352 @t75) @t333 (= @t298 (tptp.singleton @t156)))) @t351 (exists (@list @t293 @t292) (and (= (tptp.ordered_pair @t293 @t292) @t87) @t350 (= @t292 (tptp.singleton @t293))))) @t291)) (exists @t105 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t87 @t43) @t349 (exists (@list @t287 @t286) (and (= (tptp.ordered_pair @t287 @t286) @t75) (tptp.in @t287 @t1) (= @t286 (tptp.singleton @t287)))))))))))) % 0.85/1.09 (assume @p280 (forall @t13 (=> @t32 (=> (forall @t122 (=> (and @t132 (exists @t97 (and @t356 @t351 (=> (tptp.in @t87 tptp.omega) (forall @t208 (=> (tptp.element @t156 (tptp.powerset (tptp.powerset @t87))) @t355))))) @t150 (exists @t295 (and (tptp.ordinal @t292) (= @t75 @t292) (=> (tptp.in @t292 tptp.omega) (forall @t290 (=> (tptp.element @t287 (tptp.powerset (tptp.powerset @t292))) (not (and (not (= @t287 tptp.empty_set)) (forall @t289 (not (and @t288 (forall @t327 (=> (and (tptp.in @t323 @t287) (tptp.subset @t286 @t323)) (= @t323 @t286)))))))))))))) @t76)) (exists @t11 (forall @t105 (= @t137 (exists @t99 (and (tptp.in @t75 @t136) @t354 (exists @t326 (and (tptp.ordinal @t321) (= @t41 @t321) (=> (tptp.in @t321 tptp.omega) (forall @t324 (=> (tptp.element @t322 (tptp.powerset (tptp.powerset @t321))) (not (and (not (= @t322 tptp.empty_set)) (forall @t320 (not (and (tptp.in @t317 @t322) (forall @t319 (=> (and (tptp.in @t315 @t322) (tptp.subset @t317 @t315)) (= @t315 @t317)))))))))))))))))))))) % 0.85/1.09 (assume @p281 (forall @t6 (=> @t357 (=> (forall @t210 (=> (and @t76 (exists @t208 (and @t158 (= @t75 (tptp.set_difference @t156 @t135)))) @t351 (exists @t300 (and (tptp.in @t298 @t2) (= @t87 (tptp.set_difference @t298 @t135))))) @t291)) (exists @t105 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t87 @t24) @t349 (exists @t296 (and (tptp.in @t293 @t2) (= @t75 (tptp.set_difference @t293 @t135))))))))))))) % 0.85/1.09 (assume @p282 (forall @t45 (=> @t335 (=> (forall @t348 (=> (and @t291 (exists @t347 (and (= @t87 @t346) (tptp.in (tptp.ordered_pair @t359 (tptp.apply @t41 @t293)) @t2))) @t343 (exists (@list @t292 @t287) (and (= @t156 (tptp.ordered_pair @t292 @t287)) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t292) (tptp.apply @t41 @t287)) @t2)))) @t340)) (exists @t99 (forall @t97 (= @t114 (exists @t208 (and (tptp.in @t156 @t358) @t338 (exists @t342 (and (= @t87 @t341) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t286) (tptp.apply @t41 @t323)) @t2)))))))))))) % 0.85/1.09 (assume @p283 (forall @t13 (=> (forall @t122 (=> (and @t132 @t307 @t150 @t314) @t76)) (exists @t11 (forall @t105 (= @t137 (exists @t99 (and @t142 @t354 @t307)))))))) % 0.85/1.09 (assume @p284 (forall @t45 (=> @t362 (=> (forall @t348 (=> (and @t291 @t360 @t343 (tptp.in (tptp.relation_image @t41 @t156) @t2)) @t340)) (exists @t99 (forall @t97 (= @t114 (exists @t208 (and (tptp.in @t156 @t361) @t338 @t360))))))))) % 0.85/1.09 (assume @p285 (forall @t6 (=> @t29 (=> (forall @t210 (=> (and @t76 (exists @t208 (and (tptp.ordinal @t156) @t343 @t333)) @t351 (exists @t300 (and (tptp.ordinal @t298) (= @t87 @t298) @t345))) @t291)) (exists @t105 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t87 @t363) @t349 (exists @t296 (and (tptp.ordinal @t293) (= @t75 @t293) @t350))))))))))) % 0.85/1.09 (assume @p286 (forall @t6 (=> @t303 (forall @t105 (exists @t99 (forall @t97 (= @t114 (and (tptp.in @t87 @t339) (exists @t353 (and (= @t352 @t87) @t333 (exists @t296 (and (= @t156 @t293) (tptp.in @t298 @t293) (forall @t295 (=> @t294 (tptp.in (tptp.ordered_pair @t298 @t292) @t2))))))))))))))) % 0.85/1.09 (assume @p287 (forall @t6 (exists @t105 (forall @t99 (= @t98 (and (tptp.in @t75 @t43) (exists @t159 (and (= @t157 @t75) @t103 (= @t156 (tptp.singleton @t87)))))))))) % 0.85/1.09 (assume @p288 (forall @t13 (=> @t32 (exists @t11 (forall @t105 (= @t137 (and (tptp.in @t41 @t136) (exists @t99 (and @t314 @t76 @t329))))))))) % 0.85/1.09 (assume @p289 (forall @t6 (=> @t357 (exists @t105 (forall @t99 (= @t98 (and (tptp.in @t75 @t24) (exists @t97 (and @t95 (= @t75 (tptp.set_difference @t87 @t135))))))))))) % 0.85/1.09 (assume @p290 (forall @t45 (=> @t335 (exists @t99 (forall @t97 (= @t114 (and (tptp.in @t87 @t358) (exists @t353 (and (= @t87 @t352) (tptp.in (tptp.ordered_pair @t332 @t359) @t2)))))))))) % 0.85/1.09 (assume @p291 (forall @t13 (exists @t11 (forall @t105 (= @t137 (and @t77 @t307)))))) % 0.85/1.09 (assume @p292 (forall @t45 (=> @t362 (exists @t99 (forall @t97 (= @t114 (and (tptp.in @t87 @t361) @t360))))))) % 0.85/1.09 (assume @p293 (forall @t6 (=> @t29 (exists @t105 (forall @t99 (= @t98 (and (tptp.in @t75 @t363) (exists @t97 (and @t356 @t291 @t103))))))))) % 0.85/1.09 (assume @p294 (forall @t6 (=> @t303 (=> (and (forall @t210 (=> (and @t77 @t301 @t297) @t291)) (forall @t105 (not (and @t77 (forall @t99 (not (exists @t290 (and (= @t41 @t287) @t337 @t336)))))))) (exists @t105 (and @t42 @t185 @t183 (forall @t99 (=> @t142 (exists @t327 (and (= @t75 @t323) (tptp.in @t202 @t323) (forall @t326 (=> @t325 (tptp.in (tptp.ordered_pair @t202 @t321) @t2))))))))))))) % 0.85/1.09 (assume @p295 (forall @t13 (=> (and (forall @t122 (=> (and @t3 @t305 @t304) @t76)) (forall @t11 (not (and @t3 (forall @t105 (not @t305)))))) @t366))) % 0.85/1.09 (assume @p296 (=> (forall @t13 (=> @t32 (=> (forall @t11 (=> @t29 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t105 (=> (tptp.element @t41 (tptp.powerset @t227)) (not (and @t169 (forall @t99 (not (and @t98 (forall @t97 (=> (and (tptp.in @t87 @t41) (tptp.subset @t75 @t87)) @t349))))))))))))) (=> @t367 (forall @t208 (=> (tptp.element @t156 @t212) @t355)))))) (forall @t13 (=> @t32 (=> @t367 (forall @t295 (=> (tptp.element @t292 @t212) (not (and (not (= @t292 tptp.empty_set)) (forall @t290 (not (and @t344 (forall @t289 (=> (and (tptp.in @t286 @t292) (tptp.subset @t287 @t286)) (= @t286 @t287))))))))))))))) % 0.85/1.09 (assume @p297 (forall @t13 @t366)) % 0.85/1.09 (assume @p298 (forall @t6 (=> @t205 (tptp.disjoint @t2 @t1)))) % 0.85/1.09 (assume @p299 (forall @t6 (=> @t186 (tptp.equipotent @t2 @t1)))) % 0.85/1.09 (assume @p300 (forall @t13 (tptp.in @t1 @t136))) % 0.85/1.09 (assume @p301 (forall @t115 (not (and (= @t53 (tptp.unordered_pair @t41 @t75)) (not @t368) (not (= @t1 @t75)))))) % 0.85/1.09 (assume @p302 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t41))) (and @t5 (tptp.in @t1 @t181)))))) % 0.85/1.09 (assume @p303 (forall @t6 (=> @t83 (tptp.subset @t369 @t1)))) % 0.85/1.09 (assume @p304 (forall @t6 (=> @t83 (tptp.subset @t104 @t2)))) % 0.85/1.09 (assume @p305 (forall @t6 (=> @t83 (tptp.subset @t369 @t117)))) % 0.85/1.09 (assume @p306 (forall @t45 (=> @t85 (and (tptp.subset @t339 (tptp.cartesian_product2 @t2 @t41)) (tptp.subset (tptp.cartesian_product2 @t41 @t1) (tptp.cartesian_product2 @t41 @t2)))))) % 0.85/1.09 (assume @p307 (forall @t6 (=> @t83 (= @t369 (tptp.set_intersection2 @t117 @t1))))) % 0.85/1.09 (assume @p308 (forall @t115 (=> (and @t85 @t145) (tptp.subset @t339 (tptp.cartesian_product2 @t2 @t75))))) % 0.85/1.09 (assume @p309 (forall @t45 (=> @t128 (and (tptp.subset @t182 @t1) (tptp.subset @t181 @t2))))) % 0.85/1.09 (assume @p310 (forall @t6 (=> @t85 (= @t55 @t2)))) % 0.85/1.09 (assume @p311 (forall @t13 (exists @t11 (and @t5 @t372 (forall @t105 (=> @t137 (tptp.in @t371 @t2))) @t370)))) % 0.85/1.09 (assume @p312 (forall @t6 (=> (and @t85 @t48) @t33))) % 0.85/1.09 (assume @p313 (forall @t45 (=> @t42 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t41) @t2) (tptp.relation_rng_restriction @t1 @t373))))) % 0.85/1.09 (assume @p314 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_image @t41 @t2)) (exists @t99 (and (tptp.in @t75 @t182) (tptp.in (tptp.ordered_pair @t75 @t1) @t41) @t90)))))) % 0.85/1.09 (assume @p315 (forall @t6 (=> @t83 (tptp.subset @t374 @t117)))) % 0.85/1.09 (assume @p316 (forall @t6 (=> @t263 (tptp.subset @t376 @t1)))) % 0.85/1.09 (assume @p317 (forall @t6 (=> @t83 (= @t374 (tptp.relation_image @t2 @t377))))) % 0.85/1.09 (assume @p318 (forall @t6 (=> @t83 (=> (tptp.subset @t1 @t116) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t374)))))) % 0.85/1.09 (assume @p319 (forall @t13 (=> @t40 (= (tptp.relation_image @t1 @t96) @t189)))) % 0.85/1.09 (assume @p320 (forall @t6 (=> @t263 (=> @t378 (= @t376 @t1))))) % 0.85/1.09 (assume @p321 (forall @t115 (=> @t381 (=> (tptp.subset @t380 @t2) @t379)))) % 0.85/1.09 (assume @p322 (forall @t13 (=> @t165 (forall @t11 (=> @t281 (= (tptp.subset_intersection2 @t57 @t2 @t164) @t2)))))) % 0.85/1.09 (assume @p323 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= @t382 (tptp.relation_image @t2 @t189))))))) % 0.85/1.09 (assume @p324 (forall @t45 (=> @t42 (= (tptp.in @t1 @t383) (exists @t99 (and (tptp.in @t75 @t181) (tptp.in (tptp.ordered_pair @t1 @t75) @t41) @t90)))))) % 0.85/1.09 (assume @p325 (forall @t6 (=> @t83 (tptp.subset @t375 @t116)))) % 0.85/1.09 (assume @p326 (forall @t115 (=> @t381 (=> @t85 @t379)))) % 0.85/1.09 (assume @p327 (forall @t45 (=> @t42 (= (tptp.in @t1 @t384) (and @t276 (tptp.in @t1 @t198)))))) % 0.85/1.09 (assume @p328 (forall @t6 (=> @t83 (not (and @t143 @t378 (= @t375 tptp.empty_set)))))) % 0.85/1.09 (assume @p329 (forall @t45 (=> @t42 (=> @t85 (tptp.subset (tptp.relation_inverse_image @t41 @t1) @t383))))) % 0.85/1.09 (assume @p330 (forall @t6 (=> @t263 (=> @t33 (tptp.finite @t374))))) % 0.85/1.09 (assume @p331 @t389) % 0.85/1.09 (assume @p332 (forall @t6 (=> @t83 (= @t390 (tptp.relation_dom_restriction @t104 @t1))))) % 0.85/1.09 (assume @p333 (forall @t6 (tptp.subset @t65 @t1))) % 0.85/1.09 (assume @p334 (forall @t13 (=> @t33 (forall @t11 (=> @t213 (not (and @t154 (forall @t105 (not (and @t137 (forall @t99 (=> (and @t90 @t145) @t354)))))))))))) % 0.85/1.09 (assume @p335 (forall @t6 (=> @t83 (= @t390 (tptp.relation_rng_restriction @t1 @t391))))) % 0.85/1.09 (assume @p336 (forall @t45 (=> @t42 (=> (tptp.in @t1 (tptp.relation_field @t384)) (and @t393 @t5))))) % 0.85/1.09 (assume @p337 (forall @t45 (=> (and @t85 @t394) (tptp.subset @t1 @t282)))) % 0.85/1.09 (assume @p338 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.85/1.09 (assume @p339 (forall @t6 (=> @t5 @t395))) % 0.85/1.09 (assume @p340 (forall @t45 (=> (and @t85 @t330) @t394))) % 0.85/1.09 (assume @p341 (= @t331 (tptp.singleton tptp.empty_set))) % 0.85/1.09 (assume @p342 (forall @t45 (=> @t42 (=> @t397 (and @t396 (tptp.in @t2 @t181)))))) % 0.85/1.09 (assume @p343 (forall @t6 (=> @t83 (and (tptp.subset @t398 @t146) (tptp.subset @t398 @t1))))) % 0.85/1.09 (assume @p344 (forall @t6 (=> @t263 (forall @t105 (=> @t204 (= @t401 (and @t396 (tptp.in @t399 @t116)))))))) % 0.85/1.09 (assume @p345 (forall @t115 (=> @t403 (forall @t97 (=> (and (tptp.relation @t87) (tptp.function @t87)) (=> @t77 (or @t126 (= (tptp.apply (tptp.relation_composition @t75 @t87) @t41) (tptp.apply @t87 @t402))))))))) % 0.85/1.09 (assume @p346 (forall @t13 (=> @t38 (forall @t11 (=> @t29 (=> @t8 @t5)))))) % 0.85/1.09 (assume @p347 (forall @t13 (=> @t40 (tptp.subset @t1 (tptp.cartesian_product2 @t96 @t189))))) % 0.85/1.09 (assume @p348 (forall @t45 (=> @t42 (tptp.subset (tptp.fiber (tptp.relation_restriction @t41 @t1) @t2) (tptp.fiber @t41 @t2))))) % 0.85/1.09 (assume @p349 (forall @t6 (=> @t263 (forall @t105 (=> @t204 (=> @t401 (= (tptp.apply @t400 @t1) (tptp.apply @t2 @t399)))))))) % 0.85/1.09 (assume @p350 (forall @t45 (=> (tptp.relation_of2_as_subset @t41 @t2 @t1) (= (forall @t99 (not (and @t90 (forall @t97 (not @t91))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t41) @t2))))) % 0.85/1.09 (assume @p351 (forall @t6 (=> @t83 (=> @t404 (tptp.reflexive @t390))))) % 0.85/1.09 (assume @p352 (forall @t6 (=> @t263 (forall @t105 (=> @t204 (=> (tptp.in @t1 @t116) (= (tptp.apply (tptp.relation_composition @t2 @t41) @t1) (tptp.apply @t41 (tptp.apply @t2 @t1))))))))) % 0.85/1.09 (assume @p353 (forall @t13 (=> (and @t62 @t68 @t206 @t207) (forall @t11 (=> @t59 (forall @t105 (=> @t58 (tptp.below @t1 @t66 @t2)))))))) % 0.85/1.09 (assume @p354 (forall @t6 (=> @t29 (=> @t5 @t32)))) % 0.85/1.09 (assume @p355 (forall @t45 (=> @t128 (= (forall @t99 (not (and @t90 (forall @t97 (not (tptp.in @t111 @t41)))))) (= @t228 @t2))))) % 0.85/1.09 (assume @p356 (forall @t6 (=> @t83 (=> @t405 (tptp.connected @t390))))) % 0.85/1.09 (assume @p357 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (not (and @t269 @t214 @t4))))))) % 0.85/1.09 (assume @p358 (forall @t6 (=> @t83 (=> @t406 (tptp.transitive @t390))))) % 0.85/1.09 (assume @p359 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (=> @t85 (and (tptp.subset @t96 @t116) (tptp.subset @t189 @t117)))))))) % 0.85/1.09 (assume @p360 (forall @t6 (=> @t83 (=> @t407 (tptp.antisymmetric @t390))))) % 0.85/1.09 (assume @p361 (forall @t6 (=> @t83 (=> @t410 (and @t409 @t408))))) % 0.85/1.09 (assume @p362 (forall @t13 (=> @t102 (=> (tptp.finite @t96) (tptp.finite @t189))))) % 0.85/1.09 (assume @p363 (forall @t13 (=> (and @t62 @t61 @t60) (forall @t11 (=> @t59 (forall @t105 (=> @t58 (=> (and @t160 (tptp.below @t1 @t41 @t2)) @t132)))))))) % 0.85/1.09 (assume @p364 (forall @t13 (exists @t11 (and @t83 @t410)))) % 0.85/1.09 (assume @p365 (forall @t45 (=> @t85 (tptp.subset (tptp.set_intersection2 @t1 @t41) @t282)))) % 0.85/1.09 (assume @p366 (forall @t13 (=> @t153 (not (and (forall @t11 (not (and @t3 @t126))) (forall @t11 (=> @t263 (not (and @t365 (forall @t105 (=> @t77 (tptp.in @t364 @t41)))))))))))) % 0.85/1.09 (assume @p367 (forall @t6 (=> @t85 (= @t65 @t1)))) % 0.85/1.09 (assume @p368 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.85/1.09 (assume @p369 (forall @t6 (=> @t395 (or @t152 @t5)))) % 0.85/1.09 (assume @p370 (forall @t6 (=> (forall @t105 (= @t77 @t137)) @t86))) % 0.85/1.09 (assume @p371 (forall @t13 (tptp.reflexive @t147))) % 0.85/1.09 (assume @p372 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 0.85/1.09 (assume @p373 (forall @t45 (=> @t42 (=> @t397 (and @t393 (tptp.in @t2 @t392)))))) % 0.85/1.09 (assume @p374 (forall @t13 (=> (forall @t11 (=> @t3 (and @t29 @t84))) @t32))) % 0.85/1.09 (assume @p375 (forall @t6 (=> @t83 (=> @t411 (tptp.well_founded_relation @t390))))) % 0.85/1.09 (assume @p376 (forall @t6 (=> @t29 (not (and @t85 @t143 (forall @t105 (=> @t307 (not (and @t77 (forall @t99 (=> @t314 (=> @t142 (tptp.ordinal_subset @t41 @t75))))))))))))) % 0.85/1.09 (assume @p377 (forall @t6 (=> @t83 (=> @t270 @t408)))) % 0.85/1.09 (assume @p378 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (= @t5 (tptp.ordinal_subset @t136 @t2))))))) % 0.85/1.09 (assume @p379 (forall @t45 (=> @t85 (tptp.subset (tptp.set_difference @t1 @t41) @t283)))) % 0.85/1.09 (assume @p380 (forall @t115 (=> (= @t195 @t78) (and @t368 @t150)))) % 0.85/1.09 (assume @p381 (forall @t6 (=> @t263 (= @t82 (and @t365 (forall @t105 (=> @t77 (= @t364 @t41)))))))) % 0.85/1.09 (assume @p382 (forall @t6 (=> @t3 (= (tptp.apply @t81 @t2) @t2)))) % 0.85/1.09 (assume @p383 (forall @t6 (tptp.subset @t187 @t1))) % 0.85/1.09 (assume @p384 (forall @t13 (=> @t40 (and (= @t189 (tptp.relation_dom @t200)) (= @t96 (tptp.relation_rng @t200)))))) % 0.85/1.09 (assume @p385 (forall @t45 (= (tptp.subset @t53 @t41) (and @t276 @t163)))) % 0.85/1.09 (assume @p386 (forall @t6 (=> @t83 (=> (and @t270 (tptp.subset @t1 @t146)) @t409)))) % 0.85/1.09 (assume @p387 (forall @t6 (= @t412 @t55))) % 0.85/1.09 (assume @p388 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.85/1.09 (assume @p389 (forall @t45 (not (and @t5 @t163 @t77)))) % 0.85/1.09 (assume @p390 (forall @t6 (= @t277 @t85))) % 0.85/1.09 (assume @p391 (forall @t13 (tptp.transitive @t147))) % 0.85/1.09 (assume @p392 (forall @t6 (and (not (and @t414 (forall @t105 (not @t413)))) (not (and (exists @t105 @t413) @t205))))) % 0.85/1.09 (assume @p393 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t125))) % 0.85/1.09 (assume @p394 (forall @t6 (= (tptp.set_difference @t55 @t2) @t187))) % 0.85/1.09 (assume @p395 (forall @t13 (=> @t32 (= @t191 (forall @t11 (=> @t29 (=> @t3 (tptp.in @t363 @t1)))))))) % 0.85/1.09 (assume @p396 (forall @t13 (=> @t32 (and (not (and (not @t191) (forall @t11 (=> @t29 (not @t415))))) (not (and (exists @t11 (and @t29 @t415)) @t191)))))) % 0.85/1.09 (assume @p397 (forall @t6 (=> @t25 (forall @t105 (=> @t71 (= @t417 (tptp.subset @t2 @t416))))))) % 0.85/1.09 (assume @p398 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (tptp.subset @t418 @t96)))))) % 0.85/1.09 (assume @p399 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (tptp.subset @t382 @t117)))))) % 0.85/1.09 (assume @p400 (forall @t6 (=> @t85 (= @t2 @t412)))) % 0.85/1.09 (assume @p401 (forall @t115 (=> @t403 (=> @t154 (forall @t97 (= (tptp.in @t87 (tptp.relation_inverse_image @t75 @t41)) (and @t103 (tptp.in (tptp.apply @t75 @t87) @t41)))))))) % 0.85/1.09 (assume @p402 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (=> (tptp.subset @t189 @t116) (= @t418 @t96))))))) % 0.85/1.09 (assume @p403 (forall @t6 (=> @t213 (not (and @t154 (= @t211 tptp.empty_set)))))) % 0.85/1.09 (assume @p404 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (=> (tptp.subset @t96 @t117) (= (tptp.relation_rng @t237) @t189))))))) % 0.85/1.09 (assume @p405 (forall @t6 (=> @t213 (=> @t154 (= (tptp.subset_difference @t1 @t177 @t229) (tptp.meet_of_subsets @t1 @t211)))))) % 0.85/1.09 (assume @p406 (forall @t6 (=> @t213 (=> @t154 (= (tptp.union_of_subsets @t1 @t211) (tptp.subset_difference @t1 @t177 @t231)))))) % 0.85/1.09 (assume @p407 (forall @t6 (= (tptp.set_difference @t1 @t187) @t65))) % 0.85/1.09 (assume @p408 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t204 (=> @t203 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t41)))))))))) % 0.85/1.09 (assume @p409 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.85/1.09 (assume @p410 (forall @t45 (=> (and @t5 @t419) (tptp.element @t1 @t41)))) % 0.85/1.09 (assume @p411 (forall @t13 (=> @t32 (tptp.connected @t147)))) % 0.85/1.09 (assume @p412 (forall @t6 (and (not (and @t414 (forall @t105 (not @t420)))) (not (and (exists @t105 @t420) @t205))))) % 0.85/1.09 (assume @p413 (forall @t13 (=> @t143 (forall @t11 (=> @t25 (forall @t105 (=> (tptp.element @t41 @t1) (=> @t161 (tptp.in @t41 @t192))))))))) % 0.85/1.09 (assume @p414 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t204 (=> @t203 (and (=> @t179 @t404) (=> @t113 @t406) (=> @t112 @t405) (=> @t107 @t407) (=> @t155 @t411)))))))))) % 0.85/1.09 (assume @p415 (forall @t13 (=> @t102 (=> @t49 (forall @t11 (=> @t263 (= (= @t2 @t215) (and (= @t116 @t189) (forall @t80 (and (=> @t421 @t188) (=> @t188 @t421))))))))))) % 0.85/1.09 (assume @p416 (forall @t45 (=> @t71 (not (and (tptp.in @t2 @t416) @t163))))) % 0.85/1.09 (assume @p417 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t204 (=> (and @t180 @t203) @t270)))))))) % 0.85/1.09 (assume @p418 (forall @t13 (=> @t102 (=> @t49 (and (= @t189 (tptp.relation_dom @t215)) (= @t96 (tptp.relation_rng @t215))))))) % 0.85/1.09 (assume @p419 (forall @t13 (=> @t40 (=> (forall @t94 @t273) @t125)))) % 0.85/1.09 (assume @p420 (forall @t6 (=> @t263 (=> (and @t280 (tptp.in @t1 @t117)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t422 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t422 @t2) @t1))))))) % 0.85/1.09 (assume @p421 (forall @t45 (not (and @t5 @t419 (tptp.empty @t41))))) % 0.85/1.09 (assume @p422 (forall @t13 (=> @t40 (= @t155 (tptp.is_well_founded_in @t1 @t106))))) % 0.85/1.09 (assume @p423 (forall @t13 (tptp.antisymmetric @t147))) % 0.85/1.09 (assume @p424 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.85/1.09 (assume @p425 (forall @t6 (not (and @t85 @t7)))) % 0.85/1.09 (assume @p426 (forall @t13 (=> @t102 (=> @t49 (tptp.one_to_one @t215))))) % 0.85/1.09 (assume @p427 (forall @t45 (=> (and @t85 @t417) (tptp.disjoint @t1 @t41)))) % 0.85/1.09 (assume @p428 (forall @t13 (=> @t40 (=> (or @t424 @t423) @t125)))) % 0.85/1.09 (assume @p429 (forall @t13 (=> @t40 (= @t424 @t423)))) % 0.85/1.09 (assume @p430 (forall @t6 (= (= (tptp.set_difference @t1 @t274) @t1) @t4))) % 0.85/1.09 (assume @p431 (forall @t6 (=> @t263 (forall @t105 (=> @t204 (= (= @t2 @t278) (and (= @t116 (tptp.set_intersection2 @t182 @t1)) (forall @t99 (=> (tptp.in @t75 @t116) (= (tptp.apply @t2 @t75) @t202)))))))))) % 0.85/1.09 (assume @p432 (forall @t13 (= (tptp.unordered_pair @t1 @t1) @t135))) % 0.85/1.09 (assume @p433 (forall @t13 (=> @t22 @t125))) % 0.85/1.09 (assume @p434 (forall @t115 (=> @t403 (=> @t77 (or @t126 (tptp.in @t402 @t380)))))) % 0.85/1.09 (assume @p435 (forall @t13 (=> @t32 (tptp.well_founded_relation @t147)))) % 0.85/1.09 (assume @p436 (forall @t6 (=> (tptp.subset @t135 @t274) @t86))) % 0.85/1.09 (assume @p437 (forall @t45 (=> @t204 (=> @t279 @t425)))) % 0.85/1.09 (assume @p438 (forall @t13 (and (= (tptp.relation_dom @t81) @t1) (= (tptp.relation_rng @t81) @t1)))) % 0.85/1.09 (assume @p439 (forall @t45 (=> @t204 (=> @t3 @t425)))) % 0.85/1.09 (assume @p440 (forall @t115 (=> @t334 (= (tptp.in @t195 (tptp.relation_composition (tptp.identity_relation @t41) @t75)) (and @t276 (tptp.in @t195 @t75)))))) % 0.85/1.09 (assume @p441 (forall @t6 (not (and @t5 @t152)))) % 0.85/1.09 (assume @p442 (forall @t6 (and (= (tptp.pair_first @t195) @t1) (= (tptp.pair_second @t195) @t2)))) % 0.85/1.09 (assume @p443 (forall @t6 (not (and @t5 (forall @t105 (not (and @t137 (forall @t99 (not (and @t90 @t98)))))))))) % 0.85/1.09 (assume @p444 (forall @t13 (=> @t32 (tptp.well_ordering @t147)))) % 0.85/1.09 (assume @p445 (forall @t6 (tptp.subset @t1 @t55))) % 0.85/1.09 (assume @p446 (forall @t6 (= @t205 (= @t187 @t1)))) % 0.85/1.09 (assume @p447 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_dom @t373)) (and @t5 @t396))))) % 0.85/1.09 (assume @p448 (forall @t6 (=> @t83 (tptp.subset @t391 @t2)))) % 0.85/1.09 (assume @p449 (forall @t6 (not (and @t22 @t214 @t152)))) % 0.85/1.09 (assume @p450 (forall @t45 (=> @t204 (= @t397 (and @t396 (= @t2 @t399)))))) % 0.85/1.09 (assume @p451 (forall @t13 (=> @t40 (= (tptp.well_orders @t1 @t106) @t180)))) % 0.85/1.09 (assume @p452 (forall @t45 (=> (and @t85 @t170) (tptp.subset (tptp.set_union2 @t1 @t41) @t2)))) % 0.85/1.09 (assume @p453 (forall @t45 (=> @t426 @t86))) % 0.85/1.09 (assume @p454 (forall @t6 (=> @t83 (= (tptp.relation_dom @t391) @t377)))) % 0.85/1.09 (assume @p455 (forall @t6 (=> @t83 (= @t391 (tptp.relation_composition @t81 @t2))))) % 0.85/1.09 (assume @p456 (forall @t6 (=> @t83 (tptp.subset (tptp.relation_rng @t391) @t117)))) % 0.85/1.09 (assume @p457 (forall @t13 (= (tptp.union @t24) @t1))) % 0.85/1.09 (assume @p458 (forall @t115 (=> @t403 (=> @t330 (or (and @t126 @t143) (and @t217 (tptp.quasi_total @t75 @t1 @t41) (tptp.relation_of2_as_subset @t75 @t1 @t41))))))) % 0.85/1.09 (assume @p459 (forall @t13 (exists @t11 (and @t5 @t372 (forall @t105 (not (and @t137 (forall @t99 (not (and @t90 (forall @t97 (=> (tptp.subset @t87 @t41) @t114)))))))) @t370)))) % 0.85/1.09 (assume @p460 (forall @t45 (=> @t426 @t132))) % 0.85/1.09 (step @p461 :rule aci_norm :args ((= @t433 @t431))) % 0.85/1.09 (step @p462 :rule cong :premises (@p461) :args (@t435)) % 0.85/1.09 (step @p463 :rule quant-merge-prenex :args ((= (forall @t13 @t437) @t435))) % 0.85/1.09 (step @p464 :rule alpha_equiv :args (@t438 (@list @t427) (@list @t2))) % 0.85/1.09 (step @p465 :rule refl :args (@t430)) % 0.85/1.09 (step @p466 :rule nary_cong :premises (@p465 @p464) :args (@t439)) % 0.85/1.09 (step @p467 :rule quant-miniscope-or :args ((= @t437 @t439))) % 0.85/1.09 (step @p468 :rule trans :premises (@p467 @p466)) % 0.85/1.09 (step @p469 :rule symm :premises (@p468)) % 0.85/1.09 (step @p470 :rule cong :premises (@p469) :args ((forall @t13 (or @t430 @t440)))) % 0.85/1.09 (step @p471 :rule trans :premises (@p470 @p463)) % 0.85/1.09 (step @p472 :rule trans :premises (@p471 @p462)) % 0.85/1.09 (step @p473 :rule bool-impl-elim :args (@t165 @t440)) % 0.85/1.09 (step @p474 :rule cong :premises (@p473) :args ((forall @t13 (=> @t165 @t440)))) % 0.85/1.09 (step @p475 :rule trans :premises (@p474 @p472)) % 0.85/1.09 (step @p476 :rule bool-impl-elim :args (@t281 @t385)) % 0.85/1.09 (step @p477 :rule cong :premises (@p476) :args (@t386)) % 0.85/1.09 (step @p478 :rule refl :args (@t165)) % 0.85/1.09 (step @p479 :rule cong :premises (@p478 @p477) :args (@t387)) % 0.85/1.09 (step @p480 :rule cong :premises (@p479) :args (@t388)) % 0.85/1.09 (step @p481 :rule trans :premises (@p480 @p475)) % 0.85/1.09 (step @p482 :rule cong :premises (@p481) :args (@t389)) % 0.85/1.09 (step @p483 :rule eq_resolve :premises (@p331 @p482)) % 0.85/1.09 (step @p484 :rule skolemize :premises (@p483)) % 0.85/1.09 (step @p485 :rule cnf_or_neg :args (@t454 2)) % 0.85/1.09 (step @p486 :rule chain_m_resolution :premises (@p485 @p484) :args ((not @t448) @t455 @t456)) % 0.85/1.09 (step @p487 :rule bool-impl-elim :args (@t165 @t457)) % 0.85/1.09 (step @p488 :rule cong :premises (@p487) :args ((forall @t13 (=> @t165 @t457)))) % 0.85/1.09 (step @p489 :rule eq-symm :args (@t164 @t57)) % 0.85/1.09 (step @p490 :rule cong :premises (@p478 @p489) :args (@t166)) % 0.85/1.09 (step @p491 :rule cong :premises (@p490) :args (@t167)) % 0.85/1.09 (step @p492 :rule trans :premises (@p491 @p488)) % 0.85/1.09 (step @p493 :rule eq_resolve :premises (@p77 @p492)) % 0.85/1.09 (step @p494 :rule instantiate :premises (@p493) :args (@t458)) % 0.85/1.09 (step @p495 :rule bool-double-not-elim :args (@t452)) % 0.85/1.09 (step @p496 :rule refl :args (@t454)) % 0.85/1.09 (step @p497 :rule nary_cong :premises (@p496 @p495) :args ((or @t454 (not @t453)))) % 0.85/1.09 (step @p498 :rule cnf_or_neg :args (@t454 0)) % 0.85/1.09 (step @p499 :rule eq_resolve :premises (@p498 @p497)) % 0.85/1.09 (step @p500 :rule reordering :premises (@p499) :args ((or @t452 @t454))) % 0.85/1.09 (step @p501 :rule chain_m_resolution :premises (@p500 @p484) :args (@t452 @t455 @t456)) % 0.85/1.09 (step @p502 :rule cnf_or_pos :args (@t460)) % 0.85/1.09 (step @p503 :rule reordering :premises (@p502) :args ((or @t453 @t459 (not @t460)))) % 0.85/1.09 (step @p504 :rule chain_m_resolution :premises (@p503 @p501 @p494) :args (@t459 @t461 (@list @t452 @t460))) % 0.85/1.09 (step @p505 :rule bool-impl-elim :args (@t25 @t462)) % 0.85/1.09 (step @p506 :rule cong :premises (@p505) :args ((forall @t6 (=> @t25 @t462)))) % 0.85/1.09 (step @p507 :rule eq-symm :args (@t192 @t187)) % 0.85/1.09 (step @p508 :rule refl :args (@t25)) % 0.85/1.09 (step @p509 :rule cong :premises (@p508 @p507) :args (@t193)) % 0.85/1.09 (step @p510 :rule cong :premises (@p509) :args (@t194)) % 0.85/1.09 (step @p511 :rule trans :premises (@p510 @p506)) % 0.85/1.09 (step @p512 :rule eq_resolve :premises (@p94 @p511)) % 0.85/1.09 (step @p513 :rule eq-symm :args (@t463 @t447)) % 0.85/1.09 (step @p514 :rule refl :args (@t451)) % 0.85/1.09 (step @p515 :rule nary_cong :premises (@p514 @p513) :args (@t464)) % 0.85/1.09 (step @p516 :rule refl :args (@t466)) % 0.85/1.09 (step @p517 :rule cong :premises (@p516 @p515) :args ((=> @t466 @t464))) % 0.85/1.09 (assume-push @p570 @t466) % 0.85/1.09 (step @p519 :rule instantiate :premises (@p512) :args ((@list @t445 @t442))) % 0.85/1.09 (step-pop @p571 :rule scope :premises (@p519)) % 0.85/1.09 (step @p520 :rule process_scope :premises (@p571) :args (@t464)) % 0.85/1.09 (step @p522 :rule eq_resolve :premises (@p520 @p517)) % 0.85/1.09 (step @p523 :rule implies_elim :premises (@p522)) % 0.85/1.09 (step @p524 :rule chain_m_resolution :premises (@p523 @p512) :args (@t468 (@list false) (@list @t466))) % 0.85/1.09 (step @p525 :rule bool-double-not-elim :args (@t450)) % 0.85/1.09 (step @p526 :rule nary_cong :premises (@p496 @p525) :args ((or @t454 (not @t451)))) % 0.85/1.09 (step @p527 :rule cnf_or_neg :args (@t454 1)) % 0.85/1.09 (step @p528 :rule eq_resolve :premises (@p527 @p526)) % 0.85/1.09 (step @p529 :rule reordering :premises (@p528) :args ((or @t450 @t454))) % 0.85/1.09 (step @p530 :rule chain_m_resolution :premises (@p529 @p484) :args (@t450 @t455 @t456)) % 0.85/1.09 (step @p531 :rule cnf_or_pos :args (@t468)) % 0.85/1.09 (step @p532 :rule reordering :premises (@p531) :args ((or @t451 @t467 (not @t468)))) % 0.85/1.09 (step @p533 :rule chain_m_resolution :premises (@p532 @p530 @p524) :args (@t467 @t461 (@list @t450 @t468))) % 0.85/1.09 (step @p534 :rule aci_norm :args ((= (or (or @t465 @t469) @t284) (or @t465 @t469 @t284)))) % 0.85/1.09 (step @p535 :rule refl :args (@t284)) % 0.85/1.09 (step @p536 :rule bool-and-de-morgan :args (@t25 @t71 true)) % 0.85/1.09 (step @p537 :rule nary_cong :premises (@p536 @p535) :args ((or (not @t72) @t284))) % 0.85/1.09 (step @p538 :rule trans :premises (@p537 @p534)) % 0.85/1.09 (step @p539 :rule bool-impl-elim :args (@t72 @t284)) % 0.85/1.09 (step @p540 :rule trans :premises (@p539 @p538)) % 0.85/1.09 (step @p541 :rule cong :premises (@p540) :args (@t285)) % 0.85/1.09 (step @p542 :rule eq_resolve :premises (@p264 @p541)) % 0.85/1.09 (step @p543 :rule instantiate :premises (@p542) :args ((@list @t445 @t444 @t442))) % 0.85/1.09 (step @p544 :rule bool-impl-elim :args (@t165 @t222)) % 0.85/1.09 (step @p545 :rule cong :premises (@p544) :args (@t223)) % 0.85/1.09 (step @p546 :rule eq_resolve :premises (@p118 @p545)) % 0.85/1.09 (step @p547 :rule instantiate :premises (@p546) :args (@t458)) % 0.85/1.09 (step @p548 :rule cnf_or_pos :args (@t471)) % 0.85/1.09 (step @p549 :rule reordering :premises (@p548) :args ((or @t453 @t470 (not @t471)))) % 0.85/1.09 (step @p550 :rule chain_m_resolution :premises (@p549 @p501 @p547) :args (@t470 @t461 (@list @t452 @t471))) % 0.85/1.09 (step @p551 :rule cnf_or_pos :args (@t474)) % 0.85/1.09 (step @p552 :rule reordering :premises (@p551) :args ((or @t451 @t473 @t472 (not @t474)))) % 0.85/1.09 (step @p553 :rule chain_m_resolution :premises (@p552 @p530 @p550 @p543) :args (@t472 (@list false false false) (@list @t450 @t470 @t474))) % 0.85/1.09 (assume-push @p572 @t459) % 0.85/1.09 (assume-push @p573 @t467) % 0.85/1.09 (assume-push @p574 @t472) % 0.85/1.09 (step @p557 :rule symm :premises (@p553)) % 0.85/1.09 (step @p558 :rule refl :args (@t442)) % 0.85/1.09 (step @p559 :rule cong :premises (@p504 @p558) :args (@t463)) % 0.85/1.09 (step @p560 :rule trans :premises (@p533 @p559 @p557)) % 0.85/1.09 (step-pop @p575 :rule scope :premises (@p560)) % 0.85/1.09 (step-pop @p576 :rule scope :premises (@p575)) % 0.85/1.09 (step-pop @p577 :rule scope :premises (@p576)) % 0.85/1.09 (step @p561 :rule process_scope :premises (@p577) :args (@t448)) % 0.85/1.09 (step @p565 :rule implies_elim :premises (@p561)) % 0.85/1.09 (step @p566 :rule cnf_and_neg :args (@t475)) % 0.85/1.09 (step @p567 :rule resolution :premises (@p566 @p565) :args (true @t475)) % 0.85/1.09 (step @p568 :rule reordering :premises (@p567) :args ((or @t448 (not @t459) (not @t467) (not @t472)))) % 0.85/1.09 (step @p569 false :rule chain_m_resolution :premises (@p568 @p553 @p533 @p504 @p486) :args (false (@list false false false true) (@list @t472 @t467 @t459 @t448))) % 0.85/1.09 ) % 0.85/1.09 % SZS output end Proof % 0.85/1.09 % cvc5 exiting %------------------------------------------------------------------------------