%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU309+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 : n004.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 0.87s 1.11s % Output : Proof 0.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU309+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n004.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:55:37 EDT 2026 % 0.18/0.35 % CPUTime : % 0.44/0.62 %----Proving TF0_NAR, FOF, or CNF % 0.87/1.11 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.87/1.11 % SZS status Theorem % 0.87/1.11 % SZS output start Proof % 0.87/1.11 ( % 0.87/1.11 (declare-sort $$unsorted 0) % 0.87/1.11 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.function (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.empty_set $$unsorted) % 0.87/1.11 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.omega $$unsorted) % 0.87/1.11 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.87/1.11 (define @t1 () (@var "A" $$unsorted)) % 0.87/1.11 (define @t2 () (@var "B" $$unsorted)) % 0.87/1.11 (define @t3 () (tptp.in @t2 @t1)) % 0.87/1.11 (define @t4 () (not @t3)) % 0.87/1.11 (define @t5 () (tptp.in @t1 @t2)) % 0.87/1.11 (define @t6 () (@list @t1 @t2)) % 0.87/1.11 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.87/1.11 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.87/1.11 (define @t9 () (tptp.v1_xcmplx_0 @t2)) % 0.87/1.11 (define @t10 () (tptp.element @t2 @t1)) % 0.87/1.11 (define @t11 () (@list @t2)) % 0.87/1.11 (define @t12 () (tptp.v1_membered @t1)) % 0.87/1.11 (define @t13 () (@list @t1)) % 0.87/1.11 (define @t14 () (tptp.v1_xreal_0 @t2)) % 0.87/1.11 (define @t15 () (tptp.v2_membered @t1)) % 0.87/1.11 (define @t16 () (tptp.v1_rat_1 @t2)) % 0.87/1.11 (define @t17 () (tptp.v3_membered @t1)) % 0.87/1.11 (define @t18 () (tptp.v1_int_1 @t2)) % 0.87/1.11 (define @t19 () (tptp.v4_membered @t1)) % 0.87/1.11 (define @t20 () (tptp.natural @t2)) % 0.87/1.11 (define @t21 () (tptp.v5_membered @t1)) % 0.87/1.11 (define @t22 () (tptp.empty @t1)) % 0.87/1.11 (define @t23 () (tptp.v1_membered @t2)) % 0.87/1.11 (define @t24 () (tptp.powerset @t1)) % 0.87/1.11 (define @t25 () (tptp.element @t2 @t24)) % 0.87/1.11 (define @t26 () (tptp.v2_membered @t2)) % 0.87/1.11 (define @t27 () (tptp.v3_membered @t2)) % 0.87/1.11 (define @t28 () (tptp.v4_membered @t2)) % 0.87/1.11 (define @t29 () (tptp.ordinal @t2)) % 0.87/1.11 (define @t30 () (tptp.epsilon_connected @t2)) % 0.87/1.11 (define @t31 () (tptp.epsilon_transitive @t2)) % 0.87/1.11 (define @t32 () (tptp.ordinal @t1)) % 0.87/1.11 (define @t33 () (tptp.finite @t1)) % 0.87/1.11 (define @t34 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 0.87/1.11 (define @t35 () (tptp.preboolean @t1)) % 0.87/1.11 (define @t36 () (tptp.function @t1)) % 0.87/1.11 (define @t37 () (tptp.epsilon_connected @t1)) % 0.87/1.11 (define @t38 () (tptp.epsilon_transitive @t1)) % 0.87/1.11 (define @t39 () (and @t38 @t37)) % 0.87/1.11 (define @t40 () (tptp.relation @t1)) % 0.87/1.11 (define @t41 () (@var "C" $$unsorted)) % 0.87/1.11 (define @t42 () (tptp.relation @t41)) % 0.87/1.11 (define @t43 () (tptp.cartesian_product2 @t1 @t2)) % 0.87/1.11 (define @t44 () (tptp.element @t41 (tptp.powerset @t43))) % 0.87/1.11 (define @t45 () (@list @t1 @t2 @t41)) % 0.87/1.11 (define @t46 () (tptp.natural @t1)) % 0.87/1.11 (define @t47 () (and @t38 @t37 @t32 @t46)) % 0.87/1.11 (define @t48 () (tptp.finite @t2)) % 0.87/1.11 (define @t49 () (tptp.one_to_one @t1)) % 0.87/1.11 (define @t50 () (and @t40 @t36 @t49)) % 0.87/1.11 (define @t51 () (and @t40 @t22 @t36)) % 0.87/1.11 (define @t52 () (and @t38 @t37 @t32)) % 0.87/1.11 (define @t53 () (tptp.unordered_pair @t1 @t2)) % 0.87/1.11 (define @t54 () (tptp.set_union2 @t2 @t1)) % 0.87/1.11 (define @t55 () (tptp.set_union2 @t1 @t2)) % 0.87/1.11 (define @t56 () (tptp.join_commut @t1 @t2 @t41)) % 0.87/1.11 (define @t57 () (tptp.the_carrier @t1)) % 0.87/1.11 (define @t58 () (tptp.element @t41 @t57)) % 0.87/1.11 (define @t59 () (tptp.element @t2 @t57)) % 0.87/1.11 (define @t60 () (tptp.join_semilatt_str @t1)) % 0.87/1.11 (define @t61 () (tptp.join_commutative @t1)) % 0.87/1.11 (define @t62 () (not (tptp.empty_carrier @t1))) % 0.87/1.11 (define @t63 () (and @t62 @t61 @t60 @t59 @t58)) % 0.87/1.11 (define @t64 () (tptp.set_intersection2 @t2 @t1)) % 0.87/1.11 (define @t65 () (tptp.set_intersection2 @t1 @t2)) % 0.87/1.11 (define @t66 () (tptp.meet_commut @t1 @t2 @t41)) % 0.87/1.11 (define @t67 () (tptp.meet_semilatt_str @t1)) % 0.87/1.11 (define @t68 () (tptp.meet_commutative @t1)) % 0.87/1.11 (define @t69 () (and @t62 @t68 @t67 @t59 @t58)) % 0.87/1.11 (define @t70 () (tptp.subset_intersection2 @t1 @t2 @t41)) % 0.87/1.11 (define @t71 () (tptp.element @t41 @t24)) % 0.87/1.11 (define @t72 () (and @t25 @t71)) % 0.87/1.11 (define @t73 () (tptp.ordinal_subset @t1 @t2)) % 0.87/1.11 (define @t74 () (and @t32 @t29)) % 0.87/1.11 (define @t75 () (@var "D" $$unsorted)) % 0.87/1.11 (define @t76 () (= @t41 @t75)) % 0.87/1.11 (define @t77 () (tptp.in @t41 @t1)) % 0.87/1.11 (define @t78 () (tptp.ordered_pair @t41 @t75)) % 0.87/1.11 (define @t79 () (tptp.in @t78 @t2)) % 0.87/1.11 (define @t80 () (@list @t41 @t75)) % 0.87/1.11 (define @t81 () (tptp.identity_relation @t1)) % 0.87/1.11 (define @t82 () (= @t2 @t81)) % 0.87/1.11 (define @t83 () (tptp.relation @t2)) % 0.87/1.11 (define @t84 () (tptp.subset @t2 @t1)) % 0.87/1.11 (define @t85 () (tptp.subset @t1 @t2)) % 0.87/1.11 (define @t86 () (= @t1 @t2)) % 0.87/1.11 (define @t87 () (@var "E" $$unsorted)) % 0.87/1.11 (define @t88 () (tptp.ordered_pair @t75 @t87)) % 0.87/1.11 (define @t89 () (tptp.in @t88 @t1)) % 0.87/1.11 (define @t90 () (tptp.in @t75 @t2)) % 0.87/1.11 (define @t91 () (tptp.in @t88 @t41)) % 0.87/1.11 (define @t92 () (@list @t75 @t87)) % 0.87/1.11 (define @t93 () (tptp.relation_dom_restriction @t1 @t2)) % 0.87/1.11 (define @t94 () (@list @t2 @t41)) % 0.87/1.11 (define @t95 () (tptp.in @t87 @t2)) % 0.87/1.11 (define @t96 () (tptp.relation_dom @t1)) % 0.87/1.11 (define @t97 () (@list @t87)) % 0.87/1.11 (define @t98 () (tptp.in @t75 @t41)) % 0.87/1.11 (define @t99 () (@list @t75)) % 0.87/1.11 (define @t100 () (tptp.relation_image @t1 @t2)) % 0.87/1.11 (define @t101 () (= @t41 @t100)) % 0.87/1.11 (define @t102 () (and @t40 @t36)) % 0.87/1.11 (define @t103 () (tptp.in @t87 @t1)) % 0.87/1.11 (define @t104 () (tptp.relation_rng_restriction @t1 @t2)) % 0.87/1.11 (define @t105 () (@list @t41)) % 0.87/1.11 (define @t106 () (tptp.relation_field @t1)) % 0.87/1.11 (define @t107 () (tptp.antisymmetric @t1)) % 0.87/1.11 (define @t108 () (tptp.apply @t1 @t75)) % 0.87/1.11 (define @t109 () (tptp.in @t75 @t96)) % 0.87/1.11 (define @t110 () (= @t41 (tptp.relation_inverse_image @t1 @t2))) % 0.87/1.11 (define @t111 () (tptp.ordered_pair @t87 @t75)) % 0.87/1.11 (define @t112 () (tptp.connected @t1)) % 0.87/1.11 (define @t113 () (tptp.transitive @t1)) % 0.87/1.11 (define @t114 () (tptp.in @t87 @t75)) % 0.87/1.11 (define @t115 () (@list @t1 @t2 @t41 @t75)) % 0.87/1.11 (define @t116 () (tptp.relation_dom @t2)) % 0.87/1.11 (define @t117 () (tptp.relation_rng @t2)) % 0.87/1.11 (define @t118 () (tptp.function @t2)) % 0.87/1.11 (define @t119 () (tptp.in (tptp.ordered_pair @t2 @t75) @t1)) % 0.87/1.11 (define @t120 () (tptp.ordered_pair @t2 @t41)) % 0.87/1.11 (define @t121 () (tptp.in @t120 @t1)) % 0.87/1.11 (define @t122 () (@list @t2 @t41 @t75)) % 0.87/1.11 (define @t123 () (= @t41 tptp.empty_set)) % 0.87/1.11 (define @t124 () (tptp.quasi_total @t41 @t1 @t2)) % 0.87/1.11 (define @t125 () (= @t1 tptp.empty_set)) % 0.87/1.11 (define @t126 () (= @t2 tptp.empty_set)) % 0.87/1.11 (define @t127 () (tptp.relation_dom_as_subset @t1 @t2 @t41)) % 0.87/1.11 (define @t128 () (tptp.relation_of2_as_subset @t41 @t1 @t2)) % 0.87/1.11 (define @t129 () (tptp.the_L_join @t1)) % 0.87/1.11 (define @t130 () (tptp.join @t1 @t2 @t41)) % 0.87/1.11 (define @t131 () (and @t62 @t60)) % 0.87/1.11 (define @t132 () (= @t2 @t41)) % 0.87/1.11 (define @t133 () (= @t1 @t78)) % 0.87/1.11 (define @t134 () (exists @t94 (= @t1 @t120))) % 0.87/1.11 (define @t135 () (tptp.singleton @t1)) % 0.87/1.11 (define @t136 () (tptp.succ @t1)) % 0.87/1.11 (define @t137 () (tptp.in @t41 @t2)) % 0.87/1.11 (define @t138 () (tptp.is_reflexive_in @t1 @t2)) % 0.87/1.11 (define @t139 () (tptp.relation_of2 @t41 @t1 @t2)) % 0.87/1.11 (define @t140 () (= @t2 (tptp.set_meet @t1))) % 0.87/1.11 (define @t141 () (tptp.in @t41 @t75)) % 0.87/1.11 (define @t142 () (tptp.in @t75 @t1)) % 0.87/1.11 (define @t143 () (not @t125)) % 0.87/1.11 (define @t144 () (= @t75 @t2)) % 0.87/1.11 (define @t145 () (tptp.subset @t41 @t75)) % 0.87/1.11 (define @t146 () (tptp.relation_field @t2)) % 0.87/1.11 (define @t147 () (tptp.inclusion_relation @t1)) % 0.87/1.11 (define @t148 () (tptp.the_L_meet @t1)) % 0.87/1.11 (define @t149 () (tptp.meet @t1 @t2 @t41)) % 0.87/1.11 (define @t150 () (= @t2 @t75)) % 0.87/1.11 (define @t151 () (tptp.in @t78 @t1)) % 0.87/1.11 (define @t152 () (tptp.empty @t2)) % 0.87/1.11 (define @t153 () (not @t22)) % 0.87/1.11 (define @t154 () (not @t126)) % 0.87/1.11 (define @t155 () (tptp.well_founded_relation @t1)) % 0.87/1.11 (define @t156 () (@var "F" $$unsorted)) % 0.87/1.11 (define @t157 () (tptp.ordered_pair @t87 @t156)) % 0.87/1.11 (define @t158 () (tptp.in @t156 @t2)) % 0.87/1.11 (define @t159 () (@list @t87 @t156)) % 0.87/1.11 (define @t160 () (tptp.below @t1 @t2 @t41)) % 0.87/1.11 (define @t161 () (not @t137)) % 0.87/1.11 (define @t162 () (not @t132)) % 0.87/1.11 (define @t163 () (tptp.in @t2 @t41)) % 0.87/1.11 (define @t164 () (tptp.cast_as_carrier_subset @t1)) % 0.87/1.11 (define @t165 () (tptp.one_sorted_str @t1)) % 0.87/1.11 (define @t166 () (forall @t105 (=> @t77 @t137))) % 0.87/1.11 (define @t167 () (not @t123)) % 0.87/1.11 (define @t168 () (tptp.subset @t41 @t2)) % 0.87/1.11 (define @t169 () (tptp.is_well_founded_in @t1 @t2)) % 0.87/1.11 (define @t170 () (tptp.apply @t1 @t2)) % 0.87/1.11 (define @t171 () (= @t41 @t170)) % 0.87/1.11 (define @t172 () (tptp.in @t2 @t96)) % 0.87/1.11 (define @t173 () (tptp.in (tptp.ordered_pair @t75 @t41) @t1)) % 0.87/1.11 (define @t174 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.87/1.11 (define @t175 () (tptp.cast_to_subset @t1)) % 0.87/1.11 (define @t176 () (tptp.union @t1)) % 0.87/1.11 (define @t177 () (tptp.reflexive @t1)) % 0.87/1.11 (define @t178 () (tptp.well_ordering @t1)) % 0.87/1.11 (define @t179 () (tptp.relation_rng @t41)) % 0.87/1.11 (define @t180 () (tptp.relation_dom @t41)) % 0.87/1.11 (define @t181 () (= @t180 @t1)) % 0.87/1.11 (define @t182 () (tptp.one_to_one @t41)) % 0.87/1.11 (define @t183 () (tptp.function @t41)) % 0.87/1.11 (define @t184 () (tptp.equipotent @t1 @t2)) % 0.87/1.11 (define @t185 () (tptp.set_difference @t1 @t2)) % 0.87/1.11 (define @t186 () (and @t109 (= @t41 @t108))) % 0.87/1.11 (define @t187 () (tptp.relation_rng @t1)) % 0.87/1.11 (define @t188 () (= @t2 @t187)) % 0.87/1.11 (define @t189 () (tptp.being_limit_ordinal @t1)) % 0.87/1.11 (define @t190 () (tptp.subset_complement @t1 @t2)) % 0.87/1.11 (define @t191 () (tptp.ordered_pair @t1 @t2)) % 0.87/1.11 (define @t192 () (tptp.is_connected_in @t1 @t2)) % 0.87/1.11 (define @t193 () (tptp.is_transitive_in @t1 @t2)) % 0.87/1.11 (define @t194 () (tptp.cartesian_product2 @t2 @t2)) % 0.87/1.11 (define @t195 () (tptp.relation_restriction @t1 @t2)) % 0.87/1.11 (define @t196 () (tptp.relation_inverse @t1)) % 0.87/1.11 (define @t197 () (tptp.apply @t41 @t87)) % 0.87/1.11 (define @t198 () (tptp.apply @t41 @t75)) % 0.87/1.11 (define @t199 () (tptp.relation_isomorphism @t1 @t2 @t41)) % 0.87/1.11 (define @t200 () (and @t42 @t183)) % 0.87/1.11 (define @t201 () (tptp.disjoint @t1 @t2)) % 0.87/1.11 (define @t202 () (tptp.meet_absorbing @t1)) % 0.87/1.11 (define @t203 () (tptp.latt_str @t1)) % 0.87/1.11 (define @t204 () (@list @t156)) % 0.87/1.11 (define @t205 () (tptp.relation_composition @t1 @t2)) % 0.87/1.11 (define @t206 () (@list @t41 @t75 @t87)) % 0.87/1.11 (define @t207 () (tptp.complements_of_subsets @t1 @t2)) % 0.87/1.11 (define @t208 () (tptp.powerset @t24)) % 0.87/1.11 (define @t209 () (tptp.element @t2 @t208)) % 0.87/1.11 (define @t210 () (not @t86)) % 0.87/1.11 (define @t211 () (tptp.function_inverse @t1)) % 0.87/1.11 (define @t212 () (tptp.apply_binary_as_element @t1 @t2 @t41 @t75 @t87 @t156)) % 0.87/1.11 (define @t213 () (tptp.function @t75)) % 0.87/1.11 (define @t214 () (not @t152)) % 0.87/1.11 (define @t215 () (and @t153 @t214 @t213 (tptp.quasi_total @t75 @t43 @t41) (tptp.relation_of2 @t75 @t43 @t41) (tptp.element @t87 @t1) (tptp.element @t156 @t2))) % 0.87/1.11 (define @t216 () (@list @t1 @t2 @t41 @t75 @t87 @t156)) % 0.87/1.11 (define @t217 () (tptp.powerset @t57)) % 0.87/1.11 (define @t218 () (tptp.element @t164 @t217)) % 0.87/1.11 (define @t219 () (forall @t13 (=> @t165 @t218))) % 0.87/1.11 (define @t220 () (tptp.relation @t196)) % 0.87/1.11 (define @t221 () (tptp.relation @t205)) % 0.87/1.11 (define @t222 () (and @t40 @t83)) % 0.87/1.11 (define @t223 () (tptp.powerset @t2)) % 0.87/1.11 (define @t224 () (tptp.relation_rng_as_subset @t1 @t2 @t41)) % 0.87/1.11 (define @t225 () (tptp.union_of_subsets @t1 @t2)) % 0.87/1.11 (define @t226 () (tptp.relation @t81)) % 0.87/1.11 (define @t227 () (tptp.meet_of_subsets @t1 @t2)) % 0.87/1.11 (define @t228 () (tptp.subset_difference @t1 @t2 @t41)) % 0.87/1.11 (define @t229 () (tptp.element @t228 @t24)) % 0.87/1.11 (define @t230 () (forall @t45 (=> @t72 @t229))) % 0.87/1.11 (define @t231 () (tptp.relation @t93)) % 0.87/1.11 (define @t232 () (tptp.relation @t104)) % 0.87/1.11 (define @t233 () (tptp.cartesian_product2 @t57 @t57)) % 0.87/1.11 (define @t234 () (tptp.finite @t65)) % 0.87/1.11 (define @t235 () (tptp.relation_composition @t2 @t1)) % 0.87/1.11 (define @t236 () (and @t22 @t83)) % 0.87/1.11 (define @t237 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.87/1.11 (define @t238 () (tptp.relation tptp.empty_set)) % 0.87/1.11 (define @t239 () (tptp.empty tptp.empty_set)) % 0.87/1.11 (define @t240 () (tptp.relation_empty_yielding @t1)) % 0.87/1.11 (define @t241 () (and @t40 @t240)) % 0.87/1.11 (define @t242 () (not (tptp.empty @t135))) % 0.87/1.11 (define @t243 () (not (tptp.empty @t24))) % 0.87/1.11 (define @t244 () (not (tptp.empty @t136))) % 0.87/1.11 (define @t245 () (and @t62 @t165)) % 0.87/1.11 (define @t246 () (tptp.v1_membered @t65)) % 0.87/1.11 (define @t247 () (tptp.v1_membered @t64)) % 0.87/1.11 (define @t248 () (tptp.v2_membered @t65)) % 0.87/1.11 (define @t249 () (tptp.ordinal @t136)) % 0.87/1.11 (define @t250 () (tptp.epsilon_connected @t136)) % 0.87/1.11 (define @t251 () (tptp.epsilon_transitive @t136)) % 0.87/1.11 (define @t252 () (tptp.v2_membered @t64)) % 0.87/1.11 (define @t253 () (tptp.v3_membered @t65)) % 0.87/1.11 (define @t254 () (tptp.v3_membered @t64)) % 0.87/1.11 (define @t255 () (tptp.v4_membered @t65)) % 0.87/1.11 (define @t256 () (tptp.v4_membered @t64)) % 0.87/1.11 (define @t257 () (tptp.v1_membered @t185)) % 0.87/1.11 (define @t258 () (tptp.v2_membered @t185)) % 0.87/1.11 (define @t259 () (tptp.v3_membered @t185)) % 0.87/1.11 (define @t260 () (tptp.v4_membered @t185)) % 0.87/1.11 (define @t261 () (and @t83 @t118)) % 0.87/1.11 (define @t262 () (tptp.empty @t96)) % 0.87/1.11 (define @t263 () (and @t153 @t40)) % 0.87/1.11 (define @t264 () (tptp.empty @t187)) % 0.87/1.11 (define @t265 () (tptp.subset_complement @t1 @t190)) % 0.87/1.11 (define @t266 () (=> @t25 (= @t265 @t2))) % 0.87/1.11 (define @t267 () (forall @t6 @t266)) % 0.87/1.11 (define @t268 () (tptp.in @t2 @t106)) % 0.87/1.11 (define @t269 () (tptp.disjoint @t135 @t2)) % 0.87/1.11 (define @t270 () (not @t5)) % 0.87/1.11 (define @t271 () (tptp.well_ordering @t2)) % 0.87/1.11 (define @t272 () (tptp.in (tptp.ordered_pair @t41 @t2) @t1)) % 0.87/1.11 (define @t273 () (tptp.singleton @t41)) % 0.87/1.11 (define @t274 () (not @t121)) % 0.87/1.11 (define @t275 () (tptp.singleton @t2)) % 0.87/1.11 (define @t276 () (tptp.union @t2)) % 0.87/1.11 (define @t277 () (tptp.in @t1 @t41)) % 0.87/1.11 (define @t278 () (tptp.element @t1 @t223)) % 0.87/1.11 (define @t279 () (tptp.relation_dom_restriction @t41 @t1)) % 0.87/1.11 (define @t280 () (tptp.in @t2 (tptp.relation_dom @t279))) % 0.87/1.11 (define @t281 () (tptp.one_to_one @t2)) % 0.87/1.11 (define @t282 () (tptp.element @t2 @t217)) % 0.87/1.11 (define @t283 () (tptp.set_intersection2 @t2 @t41)) % 0.87/1.11 (define @t284 () (tptp.set_difference @t2 @t41)) % 0.87/1.11 (define @t285 () (@var "K" $$unsorted)) % 0.87/1.11 (define @t286 () (@var "J" $$unsorted)) % 0.87/1.11 (define @t287 () (tptp.in @t285 @t286)) % 0.87/1.11 (define @t288 () (@list @t285)) % 0.87/1.11 (define @t289 () (@list @t286)) % 0.87/1.11 (define @t290 () (= @t75 @t87)) % 0.87/1.11 (define @t291 () (@var "I" $$unsorted)) % 0.87/1.11 (define @t292 () (@var "H" $$unsorted)) % 0.87/1.11 (define @t293 () (tptp.in @t291 @t292)) % 0.87/1.11 (define @t294 () (@list @t291)) % 0.87/1.11 (define @t295 () (@list @t292)) % 0.87/1.11 (define @t296 () (exists @t295 (and (= @t41 @t292) (tptp.in @t87 @t292) (forall @t294 (=> @t293 (tptp.in (tptp.ordered_pair @t87 @t291) @t2)))))) % 0.87/1.11 (define @t297 () (@var "G" $$unsorted)) % 0.87/1.11 (define @t298 () (tptp.in @t297 @t156)) % 0.87/1.11 (define @t299 () (@list @t297)) % 0.87/1.11 (define @t300 () (exists @t204 (and (= @t41 @t156) (tptp.in @t75 @t156) (forall @t299 (=> @t298 (tptp.in (tptp.ordered_pair @t75 @t297) @t2)))))) % 0.87/1.11 (define @t301 () (forall @t206 (=> (and @t77 @t300 @t77 @t296) @t290))) % 0.87/1.11 (define @t302 () (and @t153 @t83)) % 0.87/1.11 (define @t303 () (= @t75 @t275)) % 0.87/1.11 (define @t304 () (= @t41 @t275)) % 0.87/1.11 (define @t305 () (forall @t122 (=> (and @t3 @t304 @t3 @t303) @t76))) % 0.87/1.11 (define @t306 () (tptp.ordinal @t41)) % 0.87/1.11 (define @t307 () (@var "S" $$unsorted)) % 0.87/1.11 (define @t308 () (@var "T" $$unsorted)) % 0.87/1.11 (define @t309 () (@var "R" $$unsorted)) % 0.87/1.11 (define @t310 () (tptp.powerset (tptp.powerset @t75))) % 0.87/1.11 (define @t311 () (@list @t309)) % 0.87/1.11 (define @t312 () (tptp.in @t75 tptp.omega)) % 0.87/1.11 (define @t313 () (tptp.ordinal @t75)) % 0.87/1.11 (define @t314 () (@var "P" $$unsorted)) % 0.87/1.11 (define @t315 () (@var "Q" $$unsorted)) % 0.87/1.11 (define @t316 () (@var "O" $$unsorted)) % 0.87/1.11 (define @t317 () (@list @t315)) % 0.87/1.11 (define @t318 () (@list @t314)) % 0.87/1.11 (define @t319 () (@list @t316)) % 0.87/1.11 (define @t320 () (@var "M" $$unsorted)) % 0.87/1.11 (define @t321 () (@var "N" $$unsorted)) % 0.87/1.11 (define @t322 () (@var "L" $$unsorted)) % 0.87/1.11 (define @t323 () (@list @t321)) % 0.87/1.11 (define @t324 () (tptp.in @t320 @t322)) % 0.87/1.11 (define @t325 () (@list @t320)) % 0.87/1.11 (define @t326 () (@list @t322)) % 0.87/1.11 (define @t327 () (tptp.succ @t75)) % 0.87/1.11 (define @t328 () (=> @t312 (forall @t97 (=> (tptp.element @t87 @t310) (not (and (not (= @t87 tptp.empty_set)) (forall @t204 (not (and (tptp.in @t156 @t87) (forall @t299 (=> (and (tptp.in @t297 @t87) (tptp.subset @t156 @t297)) (= @t297 @t156)))))))))))) % 0.87/1.11 (define @t329 () (tptp.subset @t2 @t41)) % 0.87/1.11 (define @t330 () (tptp.powerset tptp.empty_set)) % 0.87/1.11 (define @t331 () (tptp.apply @t41 @t156)) % 0.87/1.11 (define @t332 () (tptp.in @t156 @t1)) % 0.87/1.11 (define @t333 () (tptp.relation @t75)) % 0.87/1.11 (define @t334 () (and @t83 @t42 @t183)) % 0.87/1.11 (define @t335 () (forall @t288 (=> @t287 (tptp.in (tptp.ordered_pair @t75 @t285) @t2)))) % 0.87/1.11 (define @t336 () (tptp.in @t75 @t286)) % 0.87/1.11 (define @t337 () (= @t156 @t87)) % 0.87/1.11 (define @t338 () (tptp.cartesian_product2 @t1 @t41)) % 0.87/1.11 (define @t339 () (= @t87 @t156)) % 0.87/1.11 (define @t340 () (tptp.ordered_pair @t285 @t322)) % 0.87/1.11 (define @t341 () (@list @t285 @t322)) % 0.87/1.11 (define @t342 () (= @t75 @t156)) % 0.87/1.11 (define @t343 () (tptp.in @t286 @t291)) % 0.87/1.11 (define @t344 () (tptp.in @t297 @t1)) % 0.87/1.11 (define @t345 () (tptp.ordered_pair @t297 @t292)) % 0.87/1.11 (define @t346 () (@list @t297 @t292)) % 0.87/1.11 (define @t347 () (@list @t75 @t87 @t156)) % 0.87/1.11 (define @t348 () (= @t87 @t75)) % 0.87/1.11 (define @t349 () (tptp.in @t292 @t1)) % 0.87/1.11 (define @t350 () (= @t41 @t87)) % 0.87/1.11 (define @t351 () (tptp.ordered_pair @t156 @t297)) % 0.87/1.11 (define @t352 () (@list @t156 @t297)) % 0.87/1.11 (define @t353 () (= @t75 @t41)) % 0.87/1.11 (define @t354 () (not (and (not (= @t156 tptp.empty_set)) (forall @t299 (not (and @t298 (forall @t295 (=> (and (tptp.in @t292 @t156) (tptp.subset @t297 @t292)) (= @t292 @t297))))))))) % 0.87/1.11 (define @t355 () (tptp.ordinal @t87)) % 0.87/1.11 (define @t356 () (and @t32 (tptp.element @t2 (tptp.powerset (tptp.powerset @t136))))) % 0.87/1.11 (define @t357 () (tptp.cartesian_product2 @t1 @t1)) % 0.87/1.11 (define @t358 () (tptp.apply @t41 @t297)) % 0.87/1.11 (define @t359 () (tptp.in (tptp.relation_image @t41 @t87) @t2)) % 0.87/1.11 (define @t360 () (tptp.powerset @t180)) % 0.87/1.11 (define @t361 () (and @t209 @t42 @t183)) % 0.87/1.11 (define @t362 () (tptp.succ @t2)) % 0.87/1.11 (define @t363 () (tptp.apply @t2 @t41)) % 0.87/1.11 (define @t364 () (= @t116 @t1)) % 0.87/1.11 (define @t365 () (exists @t11 (and @t83 @t118 @t364 (forall @t105 (=> @t77 (= @t363 @t273)))))) % 0.87/1.11 (define @t366 () (tptp.in @t1 tptp.omega)) % 0.87/1.11 (define @t367 () (= @t1 @t41)) % 0.87/1.11 (define @t368 () (tptp.relation_rng @t104)) % 0.87/1.11 (define @t369 () (forall @t105 (not (and @t168 (not (tptp.are_equipotent @t41 @t2)) @t161)))) % 0.87/1.11 (define @t370 () (tptp.powerset @t41)) % 0.87/1.11 (define @t371 () (forall @t80 (=> (and @t137 (tptp.subset @t75 @t41)) @t90))) % 0.87/1.11 (define @t372 () (tptp.relation_dom_restriction @t41 @t2)) % 0.87/1.11 (define @t373 () (tptp.relation_image @t2 @t1)) % 0.87/1.11 (define @t374 () (tptp.relation_inverse_image @t2 @t1)) % 0.87/1.11 (define @t375 () (tptp.relation_image @t2 @t374)) % 0.87/1.11 (define @t376 () (tptp.set_intersection2 @t116 @t1)) % 0.87/1.11 (define @t377 () (tptp.subset @t1 @t117)) % 0.87/1.11 (define @t378 () (tptp.relation_of2_as_subset @t75 @t41 @t2)) % 0.87/1.11 (define @t379 () (tptp.relation_rng @t75)) % 0.87/1.11 (define @t380 () (tptp.relation_of2_as_subset @t75 @t41 @t1)) % 0.87/1.11 (define @t381 () (tptp.relation_rng @t205)) % 0.87/1.11 (define @t382 () (tptp.relation_inverse_image @t41 @t2)) % 0.87/1.11 (define @t383 () (tptp.relation_restriction @t41 @t2)) % 0.87/1.11 (define @t384 () (tptp.subset_difference @t57 @t164 @t2)) % 0.87/1.11 (define @t385 () (= (tptp.subset_complement @t57 @t2) @t384)) % 0.87/1.11 (define @t386 () (forall @t11 (=> @t282 @t385))) % 0.87/1.11 (define @t387 () (=> @t165 @t386)) % 0.87/1.11 (define @t388 () (forall @t13 @t387)) % 0.87/1.11 (define @t389 () (tptp.relation_restriction @t2 @t1)) % 0.87/1.11 (define @t390 () (tptp.relation_dom_restriction @t2 @t1)) % 0.87/1.11 (define @t391 () (tptp.relation_field @t41)) % 0.87/1.11 (define @t392 () (tptp.in @t1 @t391)) % 0.87/1.11 (define @t393 () (tptp.subset @t1 @t41)) % 0.87/1.11 (define @t394 () (tptp.element @t1 @t2)) % 0.87/1.11 (define @t395 () (tptp.in @t1 @t180)) % 0.87/1.11 (define @t396 () (tptp.in @t191 @t41)) % 0.87/1.11 (define @t397 () (tptp.relation_field @t389)) % 0.87/1.11 (define @t398 () (tptp.apply @t41 @t1)) % 0.87/1.11 (define @t399 () (tptp.relation_composition @t41 @t2)) % 0.87/1.11 (define @t400 () (tptp.in @t1 (tptp.relation_dom @t399))) % 0.87/1.11 (define @t401 () (tptp.apply @t75 @t41)) % 0.87/1.11 (define @t402 () (and @t213 (tptp.quasi_total @t75 @t1 @t2) (tptp.relation_of2_as_subset @t75 @t1 @t2))) % 0.87/1.11 (define @t403 () (tptp.subset_difference @t57 @t164 @t384)) % 0.87/1.11 (define @t404 () (=> @t282 (= @t403 @t2))) % 0.87/1.11 (define @t405 () (forall @t11 @t404)) % 0.87/1.11 (define @t406 () (=> @t165 @t405)) % 0.87/1.11 (define @t407 () (forall @t13 @t406)) % 0.87/1.11 (define @t408 () (not @t407)) % 0.87/1.11 (define @t409 () (tptp.reflexive @t2)) % 0.87/1.11 (define @t410 () (tptp.connected @t2)) % 0.87/1.11 (define @t411 () (tptp.transitive @t2)) % 0.87/1.11 (define @t412 () (tptp.antisymmetric @t2)) % 0.87/1.11 (define @t413 () (tptp.well_ordering @t389)) % 0.87/1.11 (define @t414 () (= @t397 @t1)) % 0.87/1.11 (define @t415 () (tptp.well_orders @t2 @t1)) % 0.87/1.11 (define @t416 () (tptp.well_founded_relation @t2)) % 0.87/1.11 (define @t417 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.87/1.11 (define @t418 () (and @t77 @t137)) % 0.87/1.11 (define @t419 () (not @t201)) % 0.87/1.11 (define @t420 () (= @t1 @t362)) % 0.87/1.11 (define @t421 () (tptp.subset_complement @t1 @t41)) % 0.87/1.11 (define @t422 () (tptp.disjoint @t2 @t41)) % 0.87/1.11 (define @t423 () (tptp.relation_dom @t205)) % 0.87/1.11 (define @t424 () (tptp.element @t2 @t370)) % 0.87/1.11 (define @t425 () (tptp.in @t41 @t65)) % 0.87/1.11 (define @t426 () (and (tptp.in @t41 @t187) (= @t75 @t363))) % 0.87/1.11 (define @t427 () (tptp.function_inverse @t2)) % 0.87/1.11 (define @t428 () (= @t187 tptp.empty_set)) % 0.87/1.11 (define @t429 () (= @t96 tptp.empty_set)) % 0.87/1.11 (define @t430 () (= (tptp.apply @t279 @t2) (tptp.apply @t41 @t2))) % 0.87/1.11 (define @t431 () (= @t135 (tptp.unordered_pair @t2 @t41))) % 0.87/1.11 (define @t432 () (@var "BOUND_VARIABLE_15384" $$unsorted)) % 0.87/1.11 (define @t433 () (= @t432 (tptp.subset_difference @t57 @t164 (tptp.subset_difference @t57 @t164 @t432)))) % 0.87/1.11 (define @t434 () (not (tptp.element @t432 @t217))) % 0.87/1.11 (define @t435 () (not @t165)) % 0.87/1.11 (define @t436 () (or @t435 @t434 @t433)) % 0.87/1.11 (define @t437 () (or @t434 @t433)) % 0.87/1.11 (define @t438 () (or @t435 @t437)) % 0.87/1.11 (define @t439 () (@list @t1 @t432)) % 0.87/1.11 (define @t440 () (forall @t439 @t438)) % 0.87/1.11 (define @t441 () (@list @t432)) % 0.87/1.11 (define @t442 () (forall @t441 @t438)) % 0.87/1.11 (define @t443 () (forall @t441 @t437)) % 0.87/1.11 (define @t444 () (@list @t2)) % 0.87/1.11 (define @t445 () (or @t435 @t443)) % 0.87/1.11 (define @t446 () (= @t2 @t403)) % 0.87/1.11 (define @t447 () (not @t282)) % 0.87/1.11 (define @t448 () (forall @t11 (or @t447 @t446))) % 0.87/1.11 (define @t449 () (forall @t439 @t436)) % 0.87/1.11 (define @t450 () (@quantifiers_skolemize @t449 1)) % 0.87/1.11 (define @t451 () (@quantifiers_skolemize @t449 0)) % 0.87/1.11 (define @t452 () (tptp.cast_as_carrier_subset @t451)) % 0.87/1.11 (define @t453 () (tptp.the_carrier @t451)) % 0.87/1.11 (define @t454 () (tptp.subset_difference @t453 @t452 @t450)) % 0.87/1.11 (define @t455 () (tptp.subset_difference @t453 @t452 @t454)) % 0.87/1.11 (define @t456 () (= @t450 @t455)) % 0.87/1.11 (define @t457 () (tptp.powerset @t453)) % 0.87/1.11 (define @t458 () (tptp.element @t450 @t457)) % 0.87/1.11 (define @t459 () (not @t458)) % 0.87/1.11 (define @t460 () (tptp.one_sorted_str @t451)) % 0.87/1.11 (define @t461 () (not @t460)) % 0.87/1.11 (define @t462 () (or @t461 @t459 @t456)) % 0.87/1.11 (define @t463 () (@list true)) % 0.87/1.11 (define @t464 () (@list @t462)) % 0.87/1.11 (define @t465 () (= @t2 @t265)) % 0.87/1.11 (define @t466 () (tptp.subset_complement @t453 @t450)) % 0.87/1.11 (define @t467 () (tptp.subset_complement @t453 @t466)) % 0.87/1.11 (define @t468 () (= @t450 @t467)) % 0.87/1.11 (define @t469 () (or @t459 @t468)) % 0.87/1.11 (define @t470 () (@list false false)) % 0.87/1.11 (define @t471 () (@var "BOUND_VARIABLE_15158" $$unsorted)) % 0.87/1.11 (define @t472 () (= (tptp.subset_complement @t57 @t471) (tptp.subset_difference @t57 @t164 @t471))) % 0.87/1.11 (define @t473 () (not (tptp.element @t471 @t217))) % 0.87/1.11 (define @t474 () (or @t435 @t473 @t472)) % 0.87/1.11 (define @t475 () (or @t473 @t472)) % 0.87/1.11 (define @t476 () (or @t435 @t475)) % 0.87/1.11 (define @t477 () (@list @t1 @t471)) % 0.87/1.11 (define @t478 () (forall @t477 @t476)) % 0.87/1.11 (define @t479 () (@list @t471)) % 0.87/1.11 (define @t480 () (forall @t479 @t476)) % 0.87/1.11 (define @t481 () (forall @t479 @t475)) % 0.87/1.11 (define @t482 () (or @t435 @t481)) % 0.87/1.11 (define @t483 () (forall @t11 (or @t447 @t385))) % 0.87/1.11 (define @t484 () (or @t461 @t459 (= @t466 @t454))) % 0.87/1.11 (define @t485 () (forall @t477 @t474)) % 0.87/1.11 (define @t486 () (= @t454 @t466)) % 0.87/1.11 (define @t487 () (or @t461 @t459 @t486)) % 0.87/1.11 (define @t488 () (@list false)) % 0.87/1.11 (define @t489 () (@list @t485)) % 0.87/1.11 (define @t490 () (@list false false false)) % 0.87/1.11 (define @t491 () (tptp.subset_complement @t453 @t454)) % 0.87/1.11 (define @t492 () (tptp.element @t454 @t457)) % 0.87/1.11 (define @t493 () (not @t492)) % 0.87/1.11 (define @t494 () (or @t461 @t493 (= @t491 @t455))) % 0.87/1.11 (define @t495 () (= @t455 @t491)) % 0.87/1.11 (define @t496 () (or @t461 @t493 @t495)) % 0.87/1.11 (define @t497 () (not @t71)) % 0.87/1.11 (define @t498 () (not @t25)) % 0.87/1.11 (define @t499 () (tptp.element @t452 @t457)) % 0.87/1.11 (define @t500 () (or @t461 @t499)) % 0.87/1.11 (define @t501 () (not @t499)) % 0.87/1.11 (define @t502 () (or @t501 @t459 @t492)) % 0.87/1.11 (define @t503 () (and @t468 @t486 @t495)) % 0.87/1.11 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.87/1.11 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.87/1.11 (assume @p3 (forall @t13 (=> @t12 (forall @t11 (=> @t10 @t9))))) % 0.87/1.11 (assume @p4 (forall @t13 (=> @t15 (forall @t11 (=> @t10 (and @t9 @t14)))))) % 0.87/1.11 (assume @p5 (forall @t13 (=> @t17 (forall @t11 (=> @t10 (and @t9 @t14 @t16)))))) % 0.87/1.11 (assume @p6 (forall @t13 (=> @t19 (forall @t11 (=> @t10 (and @t9 @t14 @t18 @t16)))))) % 0.87/1.11 (assume @p7 (forall @t13 (=> @t21 (forall @t11 (=> @t10 (and @t9 @t20 @t14 @t18 @t16)))))) % 0.87/1.11 (assume @p8 (forall @t13 (=> @t22 (and @t12 @t15 @t17 @t19 @t21)))) % 0.87/1.11 (assume @p9 (forall @t13 (=> @t12 (forall @t11 (=> @t25 @t23))))) % 0.87/1.11 (assume @p10 (forall @t13 (=> @t15 (forall @t11 (=> @t25 (and @t23 @t26)))))) % 0.87/1.11 (assume @p11 (forall @t13 (=> @t17 (forall @t11 (=> @t25 (and @t23 @t26 @t27)))))) % 0.87/1.11 (assume @p12 (forall @t13 (=> @t19 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28)))))) % 0.87/1.11 (assume @p13 (forall @t13 (=> @t32 (forall @t11 (=> @t10 (and @t31 @t30 @t29)))))) % 0.87/1.11 (assume @p14 (forall @t13 (=> @t22 @t33))) % 0.87/1.11 (assume @p15 (forall @t13 (=> @t35 @t34))) % 0.87/1.11 (assume @p16 (forall @t13 (=> @t22 @t36))) % 0.87/1.11 (assume @p17 (forall @t13 (=> @t21 @t19))) % 0.87/1.11 (assume @p18 (forall @t13 (=> @t32 @t39))) % 0.87/1.11 (assume @p19 (forall @t13 (=> @t22 @t40))) % 0.87/1.11 (assume @p20 (forall @t45 (=> @t44 @t42))) % 0.87/1.11 (assume @p21 (forall @t13 (=> @t21 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28 (tptp.v5_membered @t2))))))) % 0.87/1.11 (assume @p22 (forall @t13 (=> (and @t22 @t32) @t47))) % 0.87/1.11 (assume @p23 (forall @t13 (=> @t33 (forall @t11 (=> @t25 @t48))))) % 0.87/1.11 (assume @p24 (forall @t13 (=> @t34 @t35))) % 0.87/1.11 (assume @p25 (forall @t13 (=> @t51 @t50))) % 0.87/1.11 (assume @p26 (forall @t13 (=> @t19 @t17))) % 0.87/1.11 (assume @p27 (forall @t13 (=> @t39 @t32))) % 0.87/1.11 (assume @p28 (forall @t13 (=> (tptp.element @t1 tptp.omega) @t47))) % 0.87/1.11 (assume @p29 (forall @t13 (=> @t17 @t15))) % 0.87/1.11 (assume @p30 (forall @t13 (=> @t22 @t52))) % 0.87/1.11 (assume @p31 (forall @t13 (=> @t15 @t12))) % 0.87/1.11 (assume @p32 (forall @t6 (= @t53 (tptp.unordered_pair @t2 @t1)))) % 0.87/1.11 (assume @p33 (forall @t6 (= @t55 @t54))) % 0.87/1.11 (assume @p34 (forall @t45 (=> @t63 (= @t56 (tptp.join_commut @t1 @t41 @t2))))) % 0.87/1.11 (assume @p35 (forall @t6 (= @t65 @t64))) % 0.87/1.11 (assume @p36 (forall @t45 (=> @t69 (= @t66 (tptp.meet_commut @t1 @t41 @t2))))) % 0.87/1.11 (assume @p37 (forall @t45 (=> @t72 (= @t70 (tptp.subset_intersection2 @t1 @t41 @t2))))) % 0.87/1.11 (assume @p38 (forall @t6 (=> @t74 (or @t73 (tptp.ordinal_subset @t2 @t1))))) % 0.87/1.11 (assume @p39 (forall @t6 (=> @t83 (= @t82 (forall @t80 (= @t79 (and @t77 @t76))))))) % 0.87/1.11 (assume @p40 (forall @t6 (= @t86 (and @t85 @t84)))) % 0.87/1.11 (assume @p41 (forall @t13 (=> @t40 (forall @t94 (=> @t42 (= (= @t41 @t93) (forall @t92 (= @t91 (and @t90 @t89))))))))) % 0.87/1.11 (assume @p42 (forall @t13 (=> @t102 (forall @t94 (= @t101 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t87 @t96) @t95 (= @t75 (tptp.apply @t1 @t87))))))))))) % 0.87/1.11 (assume @p43 (forall @t6 (=> @t83 (forall @t105 (=> @t42 (= (= @t41 @t104) (forall @t92 (= @t91 (and @t103 (tptp.in @t88 @t2)))))))))) % 0.87/1.11 (assume @p44 (forall @t13 (=> @t40 (= @t107 (tptp.is_antisymmetric_in @t1 @t106))))) % 0.87/1.11 (assume @p45 (forall @t13 (=> @t102 (forall @t94 (= @t110 (forall @t99 (= @t98 (and @t109 (tptp.in @t108 @t2))))))))) % 0.87/1.11 (assume @p46 (forall @t13 (=> @t40 (forall @t94 (= @t101 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t111 @t1) @t95))))))))) % 0.87/1.11 (assume @p47 (forall @t13 (=> @t40 (forall @t94 (= @t110 (forall @t99 (= @t98 (exists @t97 (and @t89 @t95))))))))) % 0.87/1.11 (assume @p48 (forall @t13 (=> @t40 (= @t112 (tptp.is_connected_in @t1 @t106))))) % 0.87/1.11 (assume @p49 (forall @t13 (=> @t40 (= @t113 (tptp.is_transitive_in @t1 @t106))))) % 0.87/1.11 (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))))))))) % 0.87/1.11 (assume @p51 (forall @t13 (= @t33 (exists @t11 (and @t83 @t118 (= @t117 @t1) (tptp.in @t116 tptp.omega)))))) % 0.87/1.11 (assume @p52 (forall @t13 (= @t36 (forall @t122 (=> (and @t121 @t119) @t76))))) % 0.87/1.11 (assume @p53 (forall @t45 (=> @t128 (and (=> (=> @t126 @t125) (= @t124 (= @t1 @t127))) (=> @t126 (or @t125 (= @t124 @t123))))))) % 0.87/1.11 (assume @p54 (forall @t13 (=> @t131 (forall @t11 (=> @t59 (forall @t105 (=> @t58 (= @t130 (tptp.apply_binary_as_element @t57 @t57 @t57 @t129 @t2 @t41))))))))) % 0.87/1.11 (assume @p55 (forall @t13 (=> @t134 (forall @t11 (= (= @t2 (tptp.pair_first @t1)) (forall @t80 (=> @t133 @t132))))))) % 0.87/1.11 (assume @p56 (forall @t13 (= @t136 (tptp.set_union2 @t1 @t135)))) % 0.87/1.11 (assume @p57 (forall @t13 (= @t40 (forall @t11 (not (and @t3 (forall @t80 (not (= @t2 @t78))))))))) % 0.87/1.11 (assume @p58 (forall @t13 (=> @t40 (forall @t11 (= @t138 (forall @t105 (=> @t137 (tptp.in (tptp.ordered_pair @t41 @t41) @t1)))))))) % 0.87/1.11 (assume @p59 (forall @t45 (= @t139 (tptp.subset @t41 @t43)))) % 0.87/1.11 (assume @p60 (forall @t6 (and (=> @t143 (= @t140 (forall @t105 (= @t137 (forall @t99 (=> @t142 @t141)))))) (=> @t125 (= @t140 @t126))))) % 0.87/1.11 (assume @p61 (forall @t6 (= (= @t2 @t135) (forall @t105 (= @t137 (= @t41 @t1)))))) % 0.87/1.11 (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))))))))) % 0.87/1.11 (assume @p63 (forall @t6 (=> @t83 (= (= @t2 @t147) (and (= @t146 @t1) (forall @t80 (=> (and @t77 @t142) (= @t79 @t145)))))))) % 0.87/1.11 (assume @p64 (forall @t13 (= @t125 (forall @t11 @t4)))) % 0.87/1.11 (assume @p65 (forall @t6 (= (= @t2 @t24) (forall @t105 (= @t137 (tptp.subset @t41 @t1)))))) % 0.87/1.11 (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))))))))) % 0.87/1.11 (assume @p67 (forall @t13 (=> @t134 (forall @t11 (= (= @t2 (tptp.pair_second @t1)) (forall @t80 (=> @t133 @t150))))))) % 0.87/1.11 (assume @p68 (forall @t13 (= @t38 (forall @t11 (=> @t3 @t84))))) % 0.87/1.11 (assume @p69 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= @t86 (forall @t80 (= @t151 @t79)))))))) % 0.87/1.11 (assume @p70 (forall @t6 (and (=> @t153 (= @t10 @t3)) (=> @t22 (= @t10 @t152))))) % 0.87/1.11 (assume @p71 (forall @t45 (= (= @t41 @t53) (forall @t99 (= @t98 (or (= @t75 @t1) @t144)))))) % 0.87/1.11 (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))))))))))) % 0.87/1.11 (assume @p73 (forall @t45 (= (= @t41 @t55) (forall @t99 (= @t98 (or @t142 @t90)))))) % 0.87/1.11 (assume @p74 (forall @t45 (= (= @t41 @t43) (forall @t99 (= @t98 (exists @t159 (and @t103 @t158 (= @t75 @t157)))))))) % 0.87/1.11 (assume @p75 (forall @t13 (=> @t131 (forall @t11 (=> @t59 (forall @t105 (=> @t58 (= @t160 (= @t130 @t41))))))))) % 0.87/1.11 (assume @p76 (forall @t13 (= @t37 (forall @t94 (not (and @t3 @t77 (not @t163) @t162 @t161)))))) % 0.87/1.11 (assume @p77 (forall @t13 (=> @t165 (= @t164 @t57)))) % 0.87/1.11 (assume @p78 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= @t85 (forall @t80 (=> @t151 @t79)))))))) % 0.87/1.11 (assume @p79 (forall @t6 (= @t85 @t166))) % 0.87/1.11 (assume @p80 (forall @t13 (=> @t40 (forall @t11 (= @t169 (forall @t105 (not (and @t168 @t167 (forall @t99 (not (and @t98 (tptp.disjoint (tptp.fiber @t1 @t75) @t41)))))))))))) % 0.87/1.11 (assume @p81 (forall @t45 (= (= @t41 @t65) (forall @t99 (= @t98 (and @t142 @t90)))))) % 0.87/1.11 (assume @p82 (forall @t13 (=> @t102 (forall @t94 (and (=> @t172 (= @t171 @t121)) (=> (not @t172) (= @t171 @t123))))))) % 0.87/1.11 (assume @p83 (forall @t13 (= @t32 @t39))) % 0.87/1.11 (assume @p84 (forall @t13 (=> @t40 (forall @t11 (= (= @t2 @t96) (forall @t105 (= @t137 (exists @t99 @t151)))))))) % 0.87/1.11 (assume @p85 (forall @t13 (=> @t40 (forall @t11 (= @t174 (forall @t80 (=> (and @t137 @t90 @t151 @t173) @t76))))))) % 0.87/1.11 (assume @p86 (forall @t13 (= @t175 @t1))) % 0.87/1.11 (assume @p87 (forall @t6 (= (= @t2 @t176) (forall @t105 (= @t137 (exists @t99 (and @t141 @t142))))))) % 0.87/1.11 (assume @p88 (forall @t13 (=> @t40 (= @t178 (and @t177 @t113 @t107 @t112 @t155))))) % 0.87/1.11 (assume @p89 (forall @t6 (= @t184 (exists @t105 (and @t42 @t183 @t182 @t181 (= @t179 @t2)))))) % 0.87/1.11 (assume @p90 (forall @t45 (= (= @t41 @t185) (forall @t99 (= @t98 (and @t142 (not @t90))))))) % 0.87/1.11 (assume @p91 (forall @t13 (=> @t102 (forall @t11 (= @t188 (forall @t105 (= @t137 (exists @t99 @t186)))))))) % 0.87/1.11 (assume @p92 (forall @t13 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t189 @t32 (forall @t11 (=> @t29 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t85))))))) % 0.87/1.11 (assume @p93 (forall @t13 (=> @t40 (forall @t11 (= @t188 (forall @t105 (= @t137 (exists @t99 @t173)))))))) % 0.87/1.11 (assume @p94 (forall @t6 (=> @t25 (= @t190 @t185)))) % 0.87/1.11 (assume @p95 (forall @t6 (= @t191 (tptp.unordered_pair @t53 @t135)))) % 0.87/1.11 (assume @p96 (forall @t13 (=> @t40 (forall @t11 (= (tptp.well_orders @t1 @t2) (and @t138 @t193 @t174 @t192 @t169)))))) % 0.87/1.11 (assume @p97 (forall @t13 (= @t189 (= @t1 @t176)))) % 0.87/1.11 (assume @p98 (forall @t13 (=> @t40 (= @t106 (tptp.set_union2 @t96 @t187))))) % 0.87/1.11 (assume @p99 (forall @t13 (=> @t40 (forall @t11 (= @t192 (forall @t80 (not (and @t137 @t90 (not @t76) (not @t151) (not @t173))))))))) % 0.87/1.11 (assume @p100 (forall @t13 (=> @t40 (forall @t11 (= @t195 (tptp.set_intersection2 @t1 @t194)))))) % 0.87/1.11 (assume @p101 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= (= @t2 @t196) (forall @t80 (= @t79 @t173)))))))) % 0.87/1.11 (assume @p102 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t200 (= @t199 (and (= @t180 @t106) (= @t179 @t146) @t182 (forall @t92 (= @t89 (and (tptp.in @t75 @t106) (tptp.in @t87 @t106) (tptp.in (tptp.ordered_pair @t198 @t197) @t2))))))))))))) % 0.87/1.11 (assume @p103 (forall @t6 (= @t201 (= @t65 tptp.empty_set)))) % 0.87/1.11 (assume @p104 (forall @t13 (=> @t102 (= @t49 (forall @t94 (=> (and @t172 (tptp.in @t41 @t96) (= @t170 (tptp.apply @t1 @t41))) @t132)))))) % 0.87/1.11 (assume @p105 (forall @t13 (=> (and @t62 @t203) (= @t202 (forall @t11 (=> @t59 (forall @t105 (=> @t58 (= (tptp.join @t1 @t149 @t41) @t41))))))))) % 0.87/1.11 (assume @p106 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t42 (= (= @t41 @t205) (forall @t92 (= @t91 (exists @t204 (and (tptp.in (tptp.ordered_pair @t75 @t156) @t1) (tptp.in (tptp.ordered_pair @t156 @t87) @t2))))))))))))) % 0.87/1.11 (assume @p107 (forall @t13 (=> @t40 (forall @t11 (= @t193 (forall @t206 (=> (and @t137 @t90 @t95 @t151 @t89) (tptp.in (tptp.ordered_pair @t41 @t87) @t1)))))))) % 0.87/1.11 (assume @p108 (forall @t6 (=> @t209 (forall @t105 (=> (tptp.element @t41 @t208) (= (= @t41 @t207) (forall @t99 (=> (tptp.element @t75 @t24) (= @t98 (tptp.in (tptp.subset_complement @t1 @t75) @t2)))))))))) % 0.87/1.11 (assume @p109 (forall @t6 (= @t8 (and @t85 @t210)))) % 0.87/1.11 (assume @p110 (forall @t13 (=> @t102 (=> @t49 (= @t211 @t196))))) % 0.87/1.11 (assume @p111 (forall @t13 (=> @t40 (= @t177 (tptp.is_reflexive_in @t1 @t106))))) % 0.87/1.11 (assume @p112 true) % 0.87/1.11 (assume @p113 (forall @t45 (=> (and @t62 @t60 @t59 @t58) (tptp.element @t130 @t57)))) % 0.87/1.11 (assume @p114 (forall @t13 (tptp.relation @t147))) % 0.87/1.11 (assume @p115 (forall @t216 (=> @t215 (tptp.element @t212 @t41)))) % 0.87/1.11 (assume @p116 (forall @t13 (=> @t102 (and (tptp.relation @t211) (tptp.function @t211))))) % 0.87/1.11 (assume @p117 (forall @t45 (=> (and @t62 @t67 @t59 @t58) (tptp.element @t149 @t57)))) % 0.87/1.11 (assume @p118 @t219) % 0.87/1.11 (assume @p119 (forall @t13 (tptp.element @t175 @t24))) % 0.87/1.11 (assume @p120 (forall @t6 (=> @t40 (tptp.relation @t195)))) % 0.87/1.11 (assume @p121 (forall @t45 (=> @t63 (tptp.element @t56 @t57)))) % 0.87/1.11 (assume @p122 (forall @t6 (=> @t25 (tptp.element @t190 @t24)))) % 0.87/1.11 (assume @p123 (forall @t45 (=> @t69 (tptp.element @t66 @t57)))) % 0.87/1.11 (assume @p124 (forall @t13 (=> @t40 @t220))) % 0.87/1.11 (assume @p125 (forall @t45 (=> @t139 (tptp.element @t127 @t24)))) % 0.87/1.11 (assume @p126 (forall @t6 (=> @t222 @t221))) % 0.87/1.11 (assume @p127 (forall @t45 (=> @t139 (tptp.element @t224 @t223)))) % 0.87/1.11 (assume @p128 (forall @t6 (=> @t209 (tptp.element @t225 @t24)))) % 0.87/1.11 (assume @p129 (forall @t45 (=> @t72 (tptp.element @t70 @t24)))) % 0.87/1.11 (assume @p130 (forall @t13 @t226)) % 0.87/1.11 (assume @p131 (forall @t6 (=> @t209 (tptp.element @t227 @t24)))) % 0.87/1.11 (assume @p132 @t230) % 0.87/1.11 (assume @p133 (forall @t6 (=> @t40 @t231))) % 0.87/1.11 (assume @p134 (forall @t6 (=> @t209 (tptp.element @t207 @t208)))) % 0.87/1.11 (assume @p135 (forall @t6 (=> @t83 @t232))) % 0.87/1.11 (assume @p136 (forall @t13 (=> @t67 @t165))) % 0.87/1.11 (assume @p137 (forall @t13 (=> @t60 @t165))) % 0.87/1.11 (assume @p138 (forall @t13 (=> @t203 (and @t67 @t60)))) % 0.87/1.11 (assume @p139 (forall @t45 (=> @t128 @t44))) % 0.87/1.11 (assume @p140 (forall @t13 (=> @t67 (and (tptp.function @t148) (tptp.quasi_total @t148 @t233 @t57) (tptp.relation_of2_as_subset @t148 @t233 @t57))))) % 0.87/1.11 (assume @p141 (forall @t13 (=> @t60 (and (tptp.function @t129) (tptp.quasi_total @t129 @t233 @t57) (tptp.relation_of2_as_subset @t129 @t233 @t57))))) % 0.87/1.11 (assume @p142 (exists @t13 @t67)) % 0.87/1.11 (assume @p143 (exists @t13 @t165)) % 0.87/1.11 (assume @p144 (exists @t13 @t60)) % 0.87/1.11 (assume @p145 (exists @t13 @t203)) % 0.87/1.11 (assume @p146 (forall @t6 (exists @t105 @t139))) % 0.87/1.11 (assume @p147 (forall @t13 (exists @t11 @t10))) % 0.87/1.11 (assume @p148 (forall @t6 (exists @t105 @t128))) % 0.87/1.11 (assume @p149 (forall @t6 (=> @t48 @t234))) % 0.87/1.11 (assume @p150 (forall @t6 (=> @t236 (and (tptp.empty @t235) (tptp.relation @t235))))) % 0.87/1.11 (assume @p151 (forall @t6 (=> @t33 @t234))) % 0.87/1.11 (assume @p152 (forall @t13 (=> @t22 (and (tptp.empty @t196) @t220)))) % 0.87/1.11 (assume @p153 (forall @t6 (=> @t33 (tptp.finite @t185)))) % 0.87/1.11 (assume @p154 (and @t239 @t238 @t237)) % 0.87/1.11 (assume @p155 (forall @t6 (=> (and @t40 @t36 @t48) (tptp.finite @t100)))) % 0.87/1.11 (assume @p156 (forall @t6 (=> @t241 (and @t231 (tptp.relation_empty_yielding @t93))))) % 0.87/1.11 (assume @p157 (forall @t13 (and @t242 (tptp.finite @t135)))) % 0.87/1.11 (assume @p158 (forall @t13 (and @t243 (tptp.cup_closed @t24) (tptp.diff_closed @t24) (tptp.preboolean @t24)))) % 0.87/1.11 (assume @p159 (forall @t6 (=> (and @t40 @t36 @t83 @t118) (and @t221 (tptp.function @t205))))) % 0.87/1.11 (assume @p160 (forall @t13 @t244)) % 0.87/1.11 (assume @p161 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 0.87/1.11 (assume @p162 (forall @t6 (=> @t222 (tptp.relation @t65)))) % 0.87/1.11 (assume @p163 (forall @t13 (=> @t245 (not (tptp.empty @t57))))) % 0.87/1.11 (assume @p164 (forall @t13 @t243)) % 0.87/1.11 (assume @p165 @t239) % 0.87/1.11 (assume @p166 (forall @t6 (not (tptp.empty @t191)))) % 0.87/1.11 (assume @p167 (forall @t6 (=> @t12 @t246))) % 0.87/1.11 (assume @p168 (forall @t6 (=> @t12 @t247))) % 0.87/1.11 (assume @p169 (forall @t6 (=> @t15 (and @t246 @t248)))) % 0.87/1.11 (assume @p170 (forall @t13 (=> (and @t32 @t46) (and @t244 @t251 @t250 @t249 (tptp.natural @t136))))) % 0.87/1.11 (assume @p171 (forall @t13 (and @t226 (tptp.function @t81)))) % 0.87/1.11 (assume @p172 (and @t238 @t237 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t239 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.87/1.11 (assume @p173 (forall @t6 (=> @t222 (tptp.relation @t55)))) % 0.87/1.11 (assume @p174 (forall @t13 @t242)) % 0.87/1.11 (assume @p175 (forall @t6 (=> @t153 (not (tptp.empty @t55))))) % 0.87/1.11 (assume @p176 (forall @t6 (=> @t15 (and @t247 @t252)))) % 0.87/1.11 (assume @p177 (forall @t6 (=> @t17 (and @t246 @t248 @t253)))) % 0.87/1.11 (assume @p178 (forall @t6 (=> @t17 (and @t247 @t252 @t254)))) % 0.87/1.11 (assume @p179 (forall @t6 (=> @t19 (and @t246 @t248 @t253 @t255)))) % 0.87/1.11 (assume @p180 (forall @t6 (=> @t19 (and @t247 @t252 @t254 @t256)))) % 0.87/1.11 (assume @p181 (forall @t6 (=> @t21 (and @t246 @t248 @t253 @t255 (tptp.v5_membered @t65))))) % 0.87/1.11 (assume @p182 (forall @t6 (=> @t21 (and @t247 @t252 @t254 @t256 (tptp.v5_membered @t64))))) % 0.87/1.11 (assume @p183 (forall @t6 (=> @t12 @t257))) % 0.87/1.11 (assume @p184 (forall @t6 (=> @t15 (and @t257 @t258)))) % 0.87/1.11 (assume @p185 (forall @t6 (=> @t17 (and @t257 @t258 @t259)))) % 0.87/1.11 (assume @p186 (forall @t13 (=> @t50 (and @t220 (tptp.function @t196))))) % 0.87/1.11 (assume @p187 (forall @t13 (=> @t32 (and @t244 @t251 @t250 @t249)))) % 0.87/1.11 (assume @p188 (forall @t6 (=> @t222 (tptp.relation @t185)))) % 0.87/1.11 (assume @p189 (forall @t6 (not (tptp.empty @t53)))) % 0.87/1.11 (assume @p190 (forall @t6 (=> @t153 (not (tptp.empty @t54))))) % 0.87/1.11 (assume @p191 (forall @t6 (=> @t19 (and @t257 @t258 @t259 @t260)))) % 0.87/1.11 (assume @p192 (forall @t6 (=> @t21 (and @t257 @t258 @t259 @t260 (tptp.v5_membered @t185))))) % 0.87/1.11 (assume @p193 (forall @t6 (=> @t102 (and @t231 (tptp.function @t93))))) % 0.87/1.11 (assume @p194 (forall @t13 (=> @t32 (and (tptp.epsilon_transitive @t176) (tptp.epsilon_connected @t176) (tptp.ordinal @t176))))) % 0.87/1.11 (assume @p195 (and @t239 @t238)) % 0.87/1.11 (assume @p196 (forall @t6 (=> (and @t153 @t214) (not (tptp.empty @t43))))) % 0.87/1.11 (assume @p197 (forall @t6 (=> @t261 (and @t232 (tptp.function @t104))))) % 0.87/1.11 (assume @p198 (forall @t13 (=> @t263 (not @t262)))) % 0.87/1.11 (assume @p199 (and @t239 (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))) % 0.87/1.11 (assume @p200 (forall @t13 (=> @t263 (not @t264)))) % 0.87/1.11 (assume @p201 (forall @t13 (=> @t22 (and @t262 (tptp.relation @t96))))) % 0.87/1.11 (assume @p202 (forall @t13 (=> @t22 (and @t264 (tptp.relation @t187))))) % 0.87/1.11 (assume @p203 (forall @t6 (=> (and @t33 @t48) (tptp.finite @t55)))) % 0.87/1.11 (assume @p204 (forall @t6 (=> @t236 (and (tptp.empty @t205) @t221)))) % 0.87/1.11 (assume @p205 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.87/1.11 (assume @p206 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.87/1.11 (assume @p207 (forall @t45 (=> @t72 (= (tptp.subset_intersection2 @t1 @t2 @t2) @t2)))) % 0.87/1.11 (assume @p208 @t267) % 0.87/1.11 (assume @p209 (forall @t13 (=> @t40 (= (tptp.relation_inverse @t196) @t1)))) % 0.87/1.11 (assume @p210 (forall @t6 (=> @t209 (= (tptp.complements_of_subsets @t1 @t207) @t2)))) % 0.87/1.11 (assume @p211 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.87/1.11 (assume @p212 (forall @t13 (=> @t40 (= @t177 (forall @t11 (=> @t268 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 0.87/1.11 (assume @p213 (forall @t13 (not (= @t135 tptp.empty_set)))) % 0.87/1.11 (assume @p214 (forall @t6 (=> @t5 (= (tptp.set_union2 @t135 @t2) @t2)))) % 0.87/1.11 (assume @p215 (forall @t6 (not (and @t269 @t5)))) % 0.87/1.11 (assume @p216 (forall @t6 (=> @t270 @t269))) % 0.87/1.11 (assume @p217 (forall @t6 (=> @t83 (tptp.subset (tptp.relation_dom @t104) @t116)))) % 0.87/1.11 (assume @p218 (forall @t13 (=> @t40 (= @t113 (forall @t122 (=> (and @t121 @t151) @t119)))))) % 0.87/1.11 (assume @p219 (forall @t6 (= (tptp.subset @t135 @t2) @t5))) % 0.87/1.11 (assume @p220 (forall @t6 (=> @t83 (not (and @t271 (tptp.equipotent @t1 @t146) (forall @t105 (=> @t42 (not (tptp.well_orders @t41 @t1))))))))) % 0.87/1.11 (assume @p221 (forall @t6 (= (= @t185 tptp.empty_set) @t85))) % 0.87/1.11 (assume @p222 (forall @t6 (=> @t25 (forall @t105 (=> @t137 @t77))))) % 0.87/1.11 (assume @p223 (forall @t13 (=> @t40 (= @t107 (forall @t94 (=> (and @t121 @t272) @t132)))))) % 0.87/1.11 (assume @p224 (forall @t45 (=> @t85 (or @t77 (tptp.subset @t1 (tptp.set_difference @t2 @t273)))))) % 0.87/1.11 (assume @p225 (forall @t13 (=> @t40 (= @t112 (forall @t94 (not (and @t268 (tptp.in @t41 @t106) @t162 @t274 (not @t272)))))))) % 0.87/1.11 (assume @p226 (forall @t6 (= (tptp.subset @t1 @t275) (or @t125 (= @t1 @t275))))) % 0.87/1.11 (assume @p227 (forall @t6 (=> @t5 (tptp.subset @t1 @t276)))) % 0.87/1.11 (assume @p228 (forall @t115 (= (tptp.in @t191 (tptp.cartesian_product2 @t41 @t75)) (and @t277 (tptp.in @t2 @t75))))) % 0.87/1.11 (assume @p229 (forall @t6 (=> @t166 @t278))) % 0.87/1.11 (assume @p230 (forall @t45 (=> @t200 (= @t280 (and (tptp.in @t2 @t180) @t3))))) % 0.87/1.11 (assume @p231 (exists @t13 (and @t153 @t38 @t37 @t32 @t46))) % 0.87/1.11 (assume @p232 (exists @t13 (and @t153 @t33))) % 0.87/1.11 (assume @p233 (exists @t13 @t102)) % 0.87/1.11 (assume @p234 (forall @t6 (exists @t105 (and @t139 @t42 @t183 @t124)))) % 0.87/1.11 (assume @p235 (exists @t13 (and @t153 @t12 @t15 @t17 @t19 @t21))) % 0.87/1.11 (assume @p236 (exists @t13 @t52)) % 0.87/1.11 (assume @p237 (exists @t13 (and @t38 @t37 @t32 @t189))) % 0.87/1.11 (assume @p238 (exists @t13 (and @t40 @t36 @t49 @t22))) % 0.87/1.11 (assume @p239 (exists @t13 (and @t22 @t40))) % 0.87/1.11 (assume @p240 (forall @t13 (=> @t153 (exists @t11 (and @t25 @t214))))) % 0.87/1.11 (assume @p241 (exists @t13 @t22)) % 0.87/1.11 (assume @p242 (forall @t13 (exists @t11 (and @t25 @t152 @t83 @t118 @t281 @t31 @t30 @t29 @t20 @t48)))) % 0.87/1.11 (assume @p243 (exists @t13 @t51)) % 0.87/1.11 (assume @p244 (exists @t13 (and @t40 @t36 @t49 @t22 @t38 @t37 @t32))) % 0.87/1.11 (assume @p245 (forall @t6 (exists @t105 (and @t139 @t42 @t183)))) % 0.87/1.11 (assume @p246 (exists @t13 @t263)) % 0.87/1.11 (assume @p247 (forall @t13 (exists @t11 (and @t25 @t152)))) % 0.87/1.11 (assume @p248 (exists @t13 @t153)) % 0.87/1.11 (assume @p249 (forall @t13 (=> @t153 (exists @t11 (and @t25 @t214 @t48))))) % 0.87/1.11 (assume @p250 (exists @t13 @t50)) % 0.87/1.11 (assume @p251 (exists @t13 (and @t153 @t38 @t37 @t32))) % 0.87/1.11 (assume @p252 (exists @t13 @t241)) % 0.87/1.11 (assume @p253 (exists @t13 (and @t165 @t62))) % 0.87/1.11 (assume @p254 (exists @t13 (and @t40 @t240 @t36))) % 0.87/1.11 (assume @p255 (forall @t13 (=> @t245 (exists @t11 (and @t282 @t214))))) % 0.87/1.11 (assume @p256 (forall @t216 (=> @t215 (= @t212 (tptp.apply_binary @t75 @t87 @t156))))) % 0.87/1.11 (assume @p257 (forall @t45 (=> @t63 (= @t56 @t130)))) % 0.87/1.11 (assume @p258 (forall @t45 (=> @t69 (= @t66 @t149)))) % 0.87/1.11 (assume @p259 (forall @t45 (=> @t139 (= @t127 @t180)))) % 0.87/1.11 (assume @p260 (forall @t45 (=> @t139 (= @t224 @t179)))) % 0.87/1.11 (assume @p261 (forall @t6 (=> @t209 (= @t225 @t276)))) % 0.87/1.11 (assume @p262 (forall @t45 (=> @t72 (= @t70 @t283)))) % 0.87/1.11 (assume @p263 (forall @t6 (=> @t209 (= @t227 (tptp.set_meet @t2))))) % 0.87/1.11 (assume @p264 (forall @t45 (=> @t72 (= @t228 @t284)))) % 0.87/1.11 (assume @p265 (forall @t45 (= @t128 @t139))) % 0.87/1.11 (assume @p266 (forall @t6 (=> @t74 (= @t73 @t85)))) % 0.87/1.11 (assume @p267 (forall @t6 (= @t184 (tptp.are_equipotent @t1 @t2)))) % 0.87/1.11 (assume @p268 (forall @t6 (=> @t74 (tptp.ordinal_subset @t1 @t1)))) % 0.87/1.11 (assume @p269 (forall @t6 (tptp.subset @t1 @t1))) % 0.87/1.11 (assume @p270 (forall @t6 (tptp.equipotent @t1 @t1))) % 0.87/1.11 (assume @p271 (forall @t6 (=> @t302 (=> @t301 (exists @t105 (and @t42 @t183 (forall @t92 (= @t91 (and @t142 @t142 (exists @t289 (and (= @t75 @t286) (tptp.in @t87 @t286) (forall @t288 (=> @t287 (tptp.in (tptp.ordered_pair @t87 @t285) @t2)))))))))))))) % 0.87/1.11 (assume @p272 (forall @t13 (=> @t305 (exists @t11 (and @t83 @t118 (forall @t80 (= @t79 (and @t77 @t77 (= @t75 @t273))))))))) % 0.87/1.11 (assume @p273 (forall @t13 (=> (exists @t11 (and @t29 @t3)) (exists @t11 (and @t29 @t3 (forall @t105 (=> @t306 (=> @t77 (tptp.ordinal_subset @t2 @t41))))))))) % 0.87/1.11 (assume @p274 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t13 (=> (tptp.element @t1 (tptp.powerset @t330)) (not (and @t143 (forall @t11 (not (and @t3 (forall @t105 (=> (and @t77 @t329) (= @t41 @t2))))))))))) (forall @t99 (=> @t313 (=> @t328 (=> (tptp.in @t327 tptp.omega) (forall @t295 (=> (tptp.element @t292 (tptp.powerset (tptp.powerset @t327))) (not (and (not (= @t292 tptp.empty_set)) (forall @t294 (not (and @t293 (forall @t289 (=> (and (tptp.in @t286 @t292) (tptp.subset @t291 @t286)) (= @t286 @t291)))))))))))))) (forall @t99 (=> @t313 (=> (and (tptp.being_limit_ordinal @t75) (forall @t288 (=> (tptp.ordinal @t285) (=> (tptp.in @t285 @t75) (=> (tptp.in @t285 tptp.omega) (forall @t326 (=> (tptp.element @t322 (tptp.powerset (tptp.powerset @t285))) (not (and (not (= @t322 tptp.empty_set)) (forall @t325 (not (and @t324 (forall @t323 (=> (and (tptp.in @t321 @t322) (tptp.subset @t320 @t321)) (= @t321 @t320))))))))))))))) (or (= @t75 tptp.empty_set) (=> @t312 (forall @t319 (=> (tptp.element @t316 @t310) (not (and (not (= @t316 tptp.empty_set)) (forall @t318 (not (and (tptp.in @t314 @t316) (forall @t317 (=> (and (tptp.in @t315 @t316) (tptp.subset @t314 @t315)) (= @t315 @t314)))))))))))))))) (forall @t99 (=> @t313 (=> @t312 (forall @t311 (=> (tptp.element @t309 @t310) (not (and (not (= @t309 tptp.empty_set)) (forall (@list @t307) (not (and (tptp.in @t307 @t309) (forall (@list @t308) (=> (and (tptp.in @t308 @t309) (tptp.subset @t307 @t308)) (= @t308 @t307))))))))))))))) % 0.87/1.11 (assume @p275 (forall @t45 (=> @t334 (exists @t99 (and @t333 (forall @t159 (= (tptp.in @t157 @t75) (and @t103 @t332 (tptp.in (tptp.ordered_pair @t197 @t331) @t2))))))))) % 0.87/1.11 (assume @p276 (forall @t6 (=> @t302 (=> @t301 (exists @t105 (forall @t99 (= @t98 (exists @t97 (and @t103 @t103 (exists @t289 (and (= @t87 @t286) @t336 @t335))))))))))) % 0.87/1.11 (assume @p277 (forall @t6 (=> @t302 (forall @t105 (=> (forall @t347 (=> (and @t290 (exists @t346 (and (= @t345 @t87) @t344 (exists @t294 (and (= @t297 @t291) (tptp.in @t292 @t291) (forall @t289 (=> @t343 (tptp.in (tptp.ordered_pair @t292 @t286) @t2))))))) @t342 (exists @t341 (and (= @t340 @t156) (tptp.in @t285 @t1) (exists @t325 (and (= @t285 @t320) (tptp.in @t322 @t320) (forall @t323 (=> (tptp.in @t321 @t320) (tptp.in (tptp.ordered_pair @t322 @t321) @t2)))))))) @t339)) (exists @t99 (forall @t97 (= @t114 (exists @t204 (and (tptp.in @t156 @t338) @t337 (exists (@list @t316 @t314) (and (= (tptp.ordered_pair @t316 @t314) @t87) (tptp.in @t316 @t1) (exists @t317 (and (= @t316 @t315) (tptp.in @t314 @t315) (forall @t311 (=> (tptp.in @t309 @t315) (tptp.in (tptp.ordered_pair @t314 @t309) @t2))))))))))))))))) % 0.87/1.11 (assume @p278 (forall @t13 (=> @t305 (exists @t11 (forall @t105 (= @t137 (exists @t99 (and @t142 @t142 (= @t41 (tptp.singleton @t75)))))))))) % 0.87/1.11 (assume @p279 (forall @t6 (=> (forall @t206 (=> (and @t76 (exists @t352 (and (= @t351 @t75) @t332 (= @t297 (tptp.singleton @t156)))) @t350 (exists (@list @t292 @t291) (and (= (tptp.ordered_pair @t292 @t291) @t87) @t349 (= @t291 (tptp.singleton @t292))))) @t290)) (exists @t105 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t87 @t43) @t348 (exists (@list @t286 @t285) (and (= (tptp.ordered_pair @t286 @t285) @t75) (tptp.in @t286 @t1) (= @t285 (tptp.singleton @t286)))))))))))) % 0.87/1.11 (assume @p280 (forall @t13 (=> @t32 (=> (forall @t122 (=> (and @t132 (exists @t97 (and @t355 @t350 (=> (tptp.in @t87 tptp.omega) (forall @t204 (=> (tptp.element @t156 (tptp.powerset (tptp.powerset @t87))) @t354))))) @t150 (exists @t294 (and (tptp.ordinal @t291) (= @t75 @t291) (=> (tptp.in @t291 tptp.omega) (forall @t289 (=> (tptp.element @t286 (tptp.powerset (tptp.powerset @t291))) (not (and (not (= @t286 tptp.empty_set)) (forall @t288 (not (and @t287 (forall @t326 (=> (and (tptp.in @t322 @t286) (tptp.subset @t285 @t322)) (= @t322 @t285)))))))))))))) @t76)) (exists @t11 (forall @t105 (= @t137 (exists @t99 (and (tptp.in @t75 @t136) @t353 (exists @t325 (and (tptp.ordinal @t320) (= @t41 @t320) (=> (tptp.in @t320 tptp.omega) (forall @t323 (=> (tptp.element @t321 (tptp.powerset (tptp.powerset @t320))) (not (and (not (= @t321 tptp.empty_set)) (forall @t319 (not (and (tptp.in @t316 @t321) (forall @t318 (=> (and (tptp.in @t314 @t321) (tptp.subset @t316 @t314)) (= @t314 @t316)))))))))))))))))))))) % 0.87/1.11 (assume @p281 (forall @t6 (=> @t356 (=> (forall @t206 (=> (and @t76 (exists @t204 (and @t158 (= @t75 (tptp.set_difference @t156 @t135)))) @t350 (exists @t299 (and (tptp.in @t297 @t2) (= @t87 (tptp.set_difference @t297 @t135))))) @t290)) (exists @t105 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t87 @t24) @t348 (exists @t295 (and (tptp.in @t292 @t2) (= @t75 (tptp.set_difference @t292 @t135))))))))))))) % 0.87/1.11 (assume @p282 (forall @t45 (=> @t334 (=> (forall @t347 (=> (and @t290 (exists @t346 (and (= @t87 @t345) (tptp.in (tptp.ordered_pair @t358 (tptp.apply @t41 @t292)) @t2))) @t342 (exists (@list @t291 @t286) (and (= @t156 (tptp.ordered_pair @t291 @t286)) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t291) (tptp.apply @t41 @t286)) @t2)))) @t339)) (exists @t99 (forall @t97 (= @t114 (exists @t204 (and (tptp.in @t156 @t357) @t337 (exists @t341 (and (= @t87 @t340) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t285) (tptp.apply @t41 @t322)) @t2)))))))))))) % 0.87/1.11 (assume @p283 (forall @t13 (=> (forall @t122 (=> (and @t132 @t306 @t150 @t313) @t76)) (exists @t11 (forall @t105 (= @t137 (exists @t99 (and @t142 @t353 @t306)))))))) % 0.87/1.11 (assume @p284 (forall @t45 (=> @t361 (=> (forall @t347 (=> (and @t290 @t359 @t342 (tptp.in (tptp.relation_image @t41 @t156) @t2)) @t339)) (exists @t99 (forall @t97 (= @t114 (exists @t204 (and (tptp.in @t156 @t360) @t337 @t359))))))))) % 0.87/1.11 (assume @p285 (forall @t6 (=> @t29 (=> (forall @t206 (=> (and @t76 (exists @t204 (and (tptp.ordinal @t156) @t342 @t332)) @t350 (exists @t299 (and (tptp.ordinal @t297) (= @t87 @t297) @t344))) @t290)) (exists @t105 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t87 @t362) @t348 (exists @t295 (and (tptp.ordinal @t292) (= @t75 @t292) @t349))))))))))) % 0.87/1.11 (assume @p286 (forall @t6 (=> @t302 (forall @t105 (exists @t99 (forall @t97 (= @t114 (and (tptp.in @t87 @t338) (exists @t352 (and (= @t351 @t87) @t332 (exists @t295 (and (= @t156 @t292) (tptp.in @t297 @t292) (forall @t294 (=> @t293 (tptp.in (tptp.ordered_pair @t297 @t291) @t2))))))))))))))) % 0.87/1.11 (assume @p287 (forall @t6 (exists @t105 (forall @t99 (= @t98 (and (tptp.in @t75 @t43) (exists @t159 (and (= @t157 @t75) @t103 (= @t156 (tptp.singleton @t87)))))))))) % 0.87/1.11 (assume @p288 (forall @t13 (=> @t32 (exists @t11 (forall @t105 (= @t137 (and (tptp.in @t41 @t136) (exists @t99 (and @t313 @t76 @t328))))))))) % 0.87/1.11 (assume @p289 (forall @t6 (=> @t356 (exists @t105 (forall @t99 (= @t98 (and (tptp.in @t75 @t24) (exists @t97 (and @t95 (= @t75 (tptp.set_difference @t87 @t135))))))))))) % 0.87/1.11 (assume @p290 (forall @t45 (=> @t334 (exists @t99 (forall @t97 (= @t114 (and (tptp.in @t87 @t357) (exists @t352 (and (= @t87 @t351) (tptp.in (tptp.ordered_pair @t331 @t358) @t2)))))))))) % 0.87/1.11 (assume @p291 (forall @t13 (exists @t11 (forall @t105 (= @t137 (and @t77 @t306)))))) % 0.87/1.11 (assume @p292 (forall @t45 (=> @t361 (exists @t99 (forall @t97 (= @t114 (and (tptp.in @t87 @t360) @t359))))))) % 0.87/1.11 (assume @p293 (forall @t6 (=> @t29 (exists @t105 (forall @t99 (= @t98 (and (tptp.in @t75 @t362) (exists @t97 (and @t355 @t290 @t103))))))))) % 0.87/1.11 (assume @p294 (forall @t6 (=> @t302 (=> (and (forall @t206 (=> (and @t77 @t300 @t296) @t290)) (forall @t105 (not (and @t77 (forall @t99 (not (exists @t289 (and (= @t41 @t286) @t336 @t335)))))))) (exists @t105 (and @t42 @t183 @t181 (forall @t99 (=> @t142 (exists @t326 (and (= @t75 @t322) (tptp.in @t198 @t322) (forall @t325 (=> @t324 (tptp.in (tptp.ordered_pair @t198 @t320) @t2))))))))))))) % 0.87/1.11 (assume @p295 (forall @t13 (=> (and (forall @t122 (=> (and @t3 @t304 @t303) @t76)) (forall @t11 (not (and @t3 (forall @t105 (not @t304)))))) @t365))) % 0.87/1.11 (assume @p296 (=> (forall @t13 (=> @t32 (=> (forall @t11 (=> @t29 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t105 (=> (tptp.element @t41 (tptp.powerset @t223)) (not (and @t167 (forall @t99 (not (and @t98 (forall @t97 (=> (and (tptp.in @t87 @t41) (tptp.subset @t75 @t87)) @t348))))))))))))) (=> @t366 (forall @t204 (=> (tptp.element @t156 @t208) @t354)))))) (forall @t13 (=> @t32 (=> @t366 (forall @t294 (=> (tptp.element @t291 @t208) (not (and (not (= @t291 tptp.empty_set)) (forall @t289 (not (and @t343 (forall @t288 (=> (and (tptp.in @t285 @t291) (tptp.subset @t286 @t285)) (= @t285 @t286))))))))))))))) % 0.87/1.11 (assume @p297 (forall @t13 @t365)) % 0.87/1.11 (assume @p298 (forall @t6 (=> @t201 (tptp.disjoint @t2 @t1)))) % 0.87/1.11 (assume @p299 (forall @t6 (=> @t184 (tptp.equipotent @t2 @t1)))) % 0.87/1.11 (assume @p300 (forall @t13 (tptp.in @t1 @t136))) % 0.87/1.11 (assume @p301 (forall @t115 (not (and (= @t53 (tptp.unordered_pair @t41 @t75)) (not @t367) (not (= @t1 @t75)))))) % 0.87/1.11 (assume @p302 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t41))) (and @t5 (tptp.in @t1 @t179)))))) % 0.87/1.11 (assume @p303 (forall @t6 (=> @t83 (tptp.subset @t368 @t1)))) % 0.87/1.11 (assume @p304 (forall @t6 (=> @t83 (tptp.subset @t104 @t2)))) % 0.87/1.11 (assume @p305 (forall @t6 (=> @t83 (tptp.subset @t368 @t117)))) % 0.87/1.11 (assume @p306 (forall @t45 (=> @t85 (and (tptp.subset @t338 (tptp.cartesian_product2 @t2 @t41)) (tptp.subset (tptp.cartesian_product2 @t41 @t1) (tptp.cartesian_product2 @t41 @t2)))))) % 0.87/1.11 (assume @p307 (forall @t6 (=> @t83 (= @t368 (tptp.set_intersection2 @t117 @t1))))) % 0.87/1.11 (assume @p308 (forall @t115 (=> (and @t85 @t145) (tptp.subset @t338 (tptp.cartesian_product2 @t2 @t75))))) % 0.87/1.11 (assume @p309 (forall @t45 (=> @t128 (and (tptp.subset @t180 @t1) (tptp.subset @t179 @t2))))) % 0.87/1.11 (assume @p310 (forall @t6 (=> @t85 (= @t55 @t2)))) % 0.87/1.11 (assume @p311 (forall @t13 (exists @t11 (and @t5 @t371 (forall @t105 (=> @t137 (tptp.in @t370 @t2))) @t369)))) % 0.87/1.11 (assume @p312 (forall @t6 (=> (and @t85 @t48) @t33))) % 0.87/1.11 (assume @p313 (forall @t45 (=> @t42 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t41) @t2) (tptp.relation_rng_restriction @t1 @t372))))) % 0.87/1.11 (assume @p314 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_image @t41 @t2)) (exists @t99 (and (tptp.in @t75 @t180) (tptp.in (tptp.ordered_pair @t75 @t1) @t41) @t90)))))) % 0.87/1.11 (assume @p315 (forall @t6 (=> @t83 (tptp.subset @t373 @t117)))) % 0.87/1.11 (assume @p316 (forall @t6 (=> @t261 (tptp.subset @t375 @t1)))) % 0.87/1.11 (assume @p317 (forall @t6 (=> @t83 (= @t373 (tptp.relation_image @t2 @t376))))) % 0.87/1.11 (assume @p318 (forall @t6 (=> @t83 (=> (tptp.subset @t1 @t116) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t373)))))) % 0.87/1.11 (assume @p319 (forall @t13 (=> @t40 (= (tptp.relation_image @t1 @t96) @t187)))) % 0.87/1.11 (assume @p320 (forall @t6 (=> @t261 (=> @t377 (= @t375 @t1))))) % 0.87/1.11 (assume @p321 (forall @t115 (=> @t380 (=> (tptp.subset @t379 @t2) @t378)))) % 0.87/1.11 (assume @p322 (forall @t13 (=> @t165 (forall @t11 (=> @t282 (= (tptp.subset_intersection2 @t57 @t2 @t164) @t2)))))) % 0.87/1.11 (assume @p323 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= @t381 (tptp.relation_image @t2 @t187))))))) % 0.87/1.11 (assume @p324 (forall @t45 (=> @t42 (= (tptp.in @t1 @t382) (exists @t99 (and (tptp.in @t75 @t179) (tptp.in (tptp.ordered_pair @t1 @t75) @t41) @t90)))))) % 0.87/1.11 (assume @p325 (forall @t6 (=> @t83 (tptp.subset @t374 @t116)))) % 0.87/1.11 (assume @p326 (forall @t115 (=> @t380 (=> @t85 @t378)))) % 0.87/1.11 (assume @p327 (forall @t45 (=> @t42 (= (tptp.in @t1 @t383) (and @t277 (tptp.in @t1 @t194)))))) % 0.87/1.11 (assume @p328 (forall @t6 (=> @t83 (not (and @t143 @t377 (= @t374 tptp.empty_set)))))) % 0.87/1.11 (assume @p329 (forall @t45 (=> @t42 (=> @t85 (tptp.subset (tptp.relation_inverse_image @t41 @t1) @t382))))) % 0.87/1.11 (assume @p330 (forall @t6 (=> @t261 (=> @t33 (tptp.finite @t373))))) % 0.87/1.11 (assume @p331 @t388) % 0.87/1.11 (assume @p332 (forall @t6 (=> @t83 (= @t389 (tptp.relation_dom_restriction @t104 @t1))))) % 0.87/1.11 (assume @p333 (forall @t6 (tptp.subset @t65 @t1))) % 0.87/1.11 (assume @p334 (forall @t13 (=> @t33 (forall @t11 (=> @t209 (not (and @t154 (forall @t105 (not (and @t137 (forall @t99 (=> (and @t90 @t145) @t353)))))))))))) % 0.87/1.11 (assume @p335 (forall @t6 (=> @t83 (= @t389 (tptp.relation_rng_restriction @t1 @t390))))) % 0.87/1.11 (assume @p336 (forall @t45 (=> @t42 (=> (tptp.in @t1 (tptp.relation_field @t383)) (and @t392 @t5))))) % 0.87/1.11 (assume @p337 (forall @t45 (=> (and @t85 @t393) (tptp.subset @t1 @t283)))) % 0.87/1.11 (assume @p338 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.87/1.11 (assume @p339 (forall @t6 (=> @t5 @t394))) % 0.87/1.11 (assume @p340 (forall @t45 (=> (and @t85 @t329) @t393))) % 0.87/1.11 (assume @p341 (= @t330 (tptp.singleton tptp.empty_set))) % 0.87/1.11 (assume @p342 (forall @t45 (=> @t42 (=> @t396 (and @t395 (tptp.in @t2 @t179)))))) % 0.87/1.11 (assume @p343 (forall @t6 (=> @t83 (and (tptp.subset @t397 @t146) (tptp.subset @t397 @t1))))) % 0.87/1.11 (assume @p344 (forall @t6 (=> @t261 (forall @t105 (=> @t200 (= @t400 (and @t395 (tptp.in @t398 @t116)))))))) % 0.87/1.11 (assume @p345 (forall @t115 (=> @t402 (forall @t97 (=> (and (tptp.relation @t87) (tptp.function @t87)) (=> @t77 (or @t126 (= (tptp.apply (tptp.relation_composition @t75 @t87) @t41) (tptp.apply @t87 @t401))))))))) % 0.87/1.11 (assume @p346 (forall @t13 (=> @t38 (forall @t11 (=> @t29 (=> @t8 @t5)))))) % 0.87/1.11 (assume @p347 (forall @t13 (=> @t40 (tptp.subset @t1 (tptp.cartesian_product2 @t96 @t187))))) % 0.87/1.11 (assume @p348 (forall @t45 (=> @t42 (tptp.subset (tptp.fiber (tptp.relation_restriction @t41 @t1) @t2) (tptp.fiber @t41 @t2))))) % 0.87/1.11 (assume @p349 (forall @t6 (=> @t261 (forall @t105 (=> @t200 (=> @t400 (= (tptp.apply @t399 @t1) (tptp.apply @t2 @t398)))))))) % 0.87/1.11 (assume @p350 @t408) % 0.87/1.11 (assume @p351 (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))))) % 0.87/1.11 (assume @p352 (forall @t6 (=> @t83 (=> @t409 (tptp.reflexive @t389))))) % 0.87/1.11 (assume @p353 (forall @t6 (=> @t261 (forall @t105 (=> @t200 (=> (tptp.in @t1 @t116) (= (tptp.apply (tptp.relation_composition @t2 @t41) @t1) (tptp.apply @t41 (tptp.apply @t2 @t1))))))))) % 0.87/1.11 (assume @p354 (forall @t13 (=> (and @t62 @t68 @t202 @t203) (forall @t11 (=> @t59 (forall @t105 (=> @t58 (tptp.below @t1 @t66 @t2)))))))) % 0.87/1.11 (assume @p355 (forall @t6 (=> @t29 (=> @t5 @t32)))) % 0.87/1.11 (assume @p356 (forall @t45 (=> @t128 (= (forall @t99 (not (and @t90 (forall @t97 (not (tptp.in @t111 @t41)))))) (= @t224 @t2))))) % 0.87/1.11 (assume @p357 (forall @t6 (=> @t83 (=> @t410 (tptp.connected @t389))))) % 0.87/1.11 (assume @p358 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (not (and @t270 @t210 @t4))))))) % 0.87/1.11 (assume @p359 (forall @t6 (=> @t83 (=> @t411 (tptp.transitive @t389))))) % 0.87/1.11 (assume @p360 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (=> @t85 (and (tptp.subset @t96 @t116) (tptp.subset @t187 @t117)))))))) % 0.87/1.11 (assume @p361 (forall @t6 (=> @t83 (=> @t412 (tptp.antisymmetric @t389))))) % 0.87/1.11 (assume @p362 (forall @t6 (=> @t83 (=> @t415 (and @t414 @t413))))) % 0.87/1.11 (assume @p363 (forall @t13 (=> @t102 (=> (tptp.finite @t96) (tptp.finite @t187))))) % 0.87/1.11 (assume @p364 (forall @t13 (=> (and @t62 @t61 @t60) (forall @t11 (=> @t59 (forall @t105 (=> @t58 (=> (and @t160 (tptp.below @t1 @t41 @t2)) @t132)))))))) % 0.87/1.11 (assume @p365 (forall @t13 (exists @t11 (and @t83 @t415)))) % 0.87/1.11 (assume @p366 (forall @t45 (=> @t85 (tptp.subset (tptp.set_intersection2 @t1 @t41) @t283)))) % 0.87/1.11 (assume @p367 (forall @t13 (=> @t153 (not (and (forall @t11 (not (and @t3 @t126))) (forall @t11 (=> @t261 (not (and @t364 (forall @t105 (=> @t77 (tptp.in @t363 @t41)))))))))))) % 0.87/1.11 (assume @p368 (forall @t6 (=> @t85 (= @t65 @t1)))) % 0.87/1.11 (assume @p369 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.87/1.11 (assume @p370 (forall @t6 (=> @t394 (or @t152 @t5)))) % 0.87/1.11 (assume @p371 (forall @t6 (=> (forall @t105 (= @t77 @t137)) @t86))) % 0.87/1.11 (assume @p372 (forall @t13 (tptp.reflexive @t147))) % 0.87/1.11 (assume @p373 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 0.87/1.11 (assume @p374 (forall @t45 (=> @t42 (=> @t396 (and @t392 (tptp.in @t2 @t391)))))) % 0.87/1.11 (assume @p375 (forall @t13 (=> (forall @t11 (=> @t3 (and @t29 @t84))) @t32))) % 0.87/1.11 (assume @p376 (forall @t6 (=> @t83 (=> @t416 (tptp.well_founded_relation @t389))))) % 0.87/1.11 (assume @p377 (forall @t6 (=> @t29 (not (and @t85 @t143 (forall @t105 (=> @t306 (not (and @t77 (forall @t99 (=> @t313 (=> @t142 (tptp.ordinal_subset @t41 @t75))))))))))))) % 0.87/1.11 (assume @p378 (forall @t6 (=> @t83 (=> @t271 @t413)))) % 0.87/1.11 (assume @p379 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (= @t5 (tptp.ordinal_subset @t136 @t2))))))) % 0.87/1.11 (assume @p380 (forall @t45 (=> @t85 (tptp.subset (tptp.set_difference @t1 @t41) @t284)))) % 0.87/1.11 (assume @p381 (forall @t115 (=> (= @t191 @t78) (and @t367 @t150)))) % 0.87/1.11 (assume @p382 (forall @t6 (=> @t261 (= @t82 (and @t364 (forall @t105 (=> @t77 (= @t363 @t41)))))))) % 0.87/1.11 (assume @p383 (forall @t6 (=> @t3 (= (tptp.apply @t81 @t2) @t2)))) % 0.87/1.11 (assume @p384 (forall @t6 (tptp.subset @t185 @t1))) % 0.87/1.11 (assume @p385 (forall @t13 (=> @t40 (and (= @t187 (tptp.relation_dom @t196)) (= @t96 (tptp.relation_rng @t196)))))) % 0.87/1.11 (assume @p386 (forall @t45 (= (tptp.subset @t53 @t41) (and @t277 @t163)))) % 0.87/1.11 (assume @p387 (forall @t6 (=> @t83 (=> (and @t271 (tptp.subset @t1 @t146)) @t414)))) % 0.87/1.11 (assume @p388 (forall @t6 (= @t417 @t55))) % 0.87/1.11 (assume @p389 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.87/1.11 (assume @p390 (forall @t45 (not (and @t5 @t163 @t77)))) % 0.87/1.11 (assume @p391 (forall @t6 (= @t278 @t85))) % 0.87/1.11 (assume @p392 (forall @t13 (tptp.transitive @t147))) % 0.87/1.11 (assume @p393 (forall @t6 (and (not (and @t419 (forall @t105 (not @t418)))) (not (and (exists @t105 @t418) @t201))))) % 0.87/1.11 (assume @p394 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t125))) % 0.87/1.11 (assume @p395 (forall @t6 (= (tptp.set_difference @t55 @t2) @t185))) % 0.87/1.11 (assume @p396 (forall @t13 (=> @t32 (= @t189 (forall @t11 (=> @t29 (=> @t3 (tptp.in @t362 @t1)))))))) % 0.87/1.11 (assume @p397 (forall @t13 (=> @t32 (and (not (and (not @t189) (forall @t11 (=> @t29 (not @t420))))) (not (and (exists @t11 (and @t29 @t420)) @t189)))))) % 0.87/1.11 (assume @p398 (forall @t6 (=> @t25 (forall @t105 (=> @t71 (= @t422 (tptp.subset @t2 @t421))))))) % 0.87/1.11 (assume @p399 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (tptp.subset @t423 @t96)))))) % 0.87/1.11 (assume @p400 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (tptp.subset @t381 @t117)))))) % 0.87/1.11 (assume @p401 (forall @t6 (=> @t85 (= @t2 @t417)))) % 0.87/1.11 (assume @p402 (forall @t115 (=> @t402 (=> @t154 (forall @t97 (= (tptp.in @t87 (tptp.relation_inverse_image @t75 @t41)) (and @t103 (tptp.in (tptp.apply @t75 @t87) @t41)))))))) % 0.87/1.11 (assume @p403 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (=> (tptp.subset @t187 @t116) (= @t423 @t96))))))) % 0.87/1.11 (assume @p404 (forall @t6 (=> @t209 (not (and @t154 (= @t207 tptp.empty_set)))))) % 0.87/1.11 (assume @p405 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (=> (tptp.subset @t96 @t117) (= (tptp.relation_rng @t235) @t187))))))) % 0.87/1.11 (assume @p406 (forall @t6 (=> @t209 (=> @t154 (= (tptp.subset_difference @t1 @t175 @t225) (tptp.meet_of_subsets @t1 @t207)))))) % 0.87/1.11 (assume @p407 (forall @t6 (=> @t209 (=> @t154 (= (tptp.union_of_subsets @t1 @t207) (tptp.subset_difference @t1 @t175 @t227)))))) % 0.87/1.11 (assume @p408 (forall @t6 (= (tptp.set_difference @t1 @t185) @t65))) % 0.87/1.11 (assume @p409 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t200 (=> @t199 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t41)))))))))) % 0.87/1.11 (assume @p410 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.87/1.11 (assume @p411 (forall @t45 (=> (and @t5 @t424) (tptp.element @t1 @t41)))) % 0.87/1.11 (assume @p412 (forall @t13 (=> @t32 (tptp.connected @t147)))) % 0.87/1.11 (assume @p413 (forall @t6 (and (not (and @t419 (forall @t105 (not @t425)))) (not (and (exists @t105 @t425) @t201))))) % 0.87/1.11 (assume @p414 (forall @t13 (=> @t143 (forall @t11 (=> @t25 (forall @t105 (=> (tptp.element @t41 @t1) (=> @t161 (tptp.in @t41 @t190))))))))) % 0.87/1.11 (assume @p415 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t200 (=> @t199 (and (=> @t177 @t409) (=> @t113 @t411) (=> @t112 @t410) (=> @t107 @t412) (=> @t155 @t416)))))))))) % 0.87/1.11 (assume @p416 (forall @t13 (=> @t102 (=> @t49 (forall @t11 (=> @t261 (= (= @t2 @t211) (and (= @t116 @t187) (forall @t80 (and (=> @t426 @t186) (=> @t186 @t426))))))))))) % 0.87/1.11 (assume @p417 (forall @t45 (=> @t71 (not (and (tptp.in @t2 @t421) @t163))))) % 0.87/1.11 (assume @p418 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t200 (=> (and @t178 @t199) @t271)))))))) % 0.87/1.11 (assume @p419 (forall @t13 (=> @t102 (=> @t49 (and (= @t187 (tptp.relation_dom @t211)) (= @t96 (tptp.relation_rng @t211))))))) % 0.87/1.11 (assume @p420 (forall @t13 (=> @t40 (=> (forall @t94 @t274) @t125)))) % 0.87/1.11 (assume @p421 (forall @t6 (=> @t261 (=> (and @t281 (tptp.in @t1 @t117)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t427 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t427 @t2) @t1))))))) % 0.87/1.11 (assume @p422 (forall @t45 (not (and @t5 @t424 (tptp.empty @t41))))) % 0.87/1.11 (assume @p423 (forall @t13 (=> @t40 (= @t155 (tptp.is_well_founded_in @t1 @t106))))) % 0.87/1.11 (assume @p424 (forall @t13 (tptp.antisymmetric @t147))) % 0.87/1.11 (assume @p425 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.87/1.11 (assume @p426 (forall @t6 (not (and @t85 @t7)))) % 0.87/1.11 (assume @p427 (forall @t13 (=> @t102 (=> @t49 (tptp.one_to_one @t211))))) % 0.87/1.11 (assume @p428 (forall @t45 (=> (and @t85 @t422) (tptp.disjoint @t1 @t41)))) % 0.87/1.11 (assume @p429 (forall @t13 (=> @t40 (=> (or @t429 @t428) @t125)))) % 0.87/1.11 (assume @p430 (forall @t13 (=> @t40 (= @t429 @t428)))) % 0.87/1.11 (assume @p431 (forall @t6 (= (= (tptp.set_difference @t1 @t275) @t1) @t4))) % 0.87/1.11 (assume @p432 (forall @t6 (=> @t261 (forall @t105 (=> @t200 (= (= @t2 @t279) (and (= @t116 (tptp.set_intersection2 @t180 @t1)) (forall @t99 (=> (tptp.in @t75 @t116) (= (tptp.apply @t2 @t75) @t198)))))))))) % 0.87/1.11 (assume @p433 (forall @t13 (= (tptp.unordered_pair @t1 @t1) @t135))) % 0.87/1.11 (assume @p434 (forall @t13 (=> @t22 @t125))) % 0.87/1.11 (assume @p435 (forall @t115 (=> @t402 (=> @t77 (or @t126 (tptp.in @t401 @t379)))))) % 0.87/1.11 (assume @p436 (forall @t13 (=> @t32 (tptp.well_founded_relation @t147)))) % 0.87/1.11 (assume @p437 (forall @t6 (=> (tptp.subset @t135 @t275) @t86))) % 0.87/1.11 (assume @p438 (forall @t45 (=> @t200 (=> @t280 @t430)))) % 0.87/1.11 (assume @p439 (forall @t13 (and (= (tptp.relation_dom @t81) @t1) (= (tptp.relation_rng @t81) @t1)))) % 0.87/1.11 (assume @p440 (forall @t45 (=> @t200 (=> @t3 @t430)))) % 0.87/1.11 (assume @p441 (forall @t115 (=> @t333 (= (tptp.in @t191 (tptp.relation_composition (tptp.identity_relation @t41) @t75)) (and @t277 (tptp.in @t191 @t75)))))) % 0.87/1.11 (assume @p442 (forall @t6 (not (and @t5 @t152)))) % 0.87/1.11 (assume @p443 (forall @t6 (and (= (tptp.pair_first @t191) @t1) (= (tptp.pair_second @t191) @t2)))) % 0.87/1.11 (assume @p444 (forall @t6 (not (and @t5 (forall @t105 (not (and @t137 (forall @t99 (not (and @t90 @t98)))))))))) % 0.87/1.11 (assume @p445 (forall @t13 (=> @t32 (tptp.well_ordering @t147)))) % 0.87/1.11 (assume @p446 (forall @t6 (tptp.subset @t1 @t55))) % 0.87/1.11 (assume @p447 (forall @t6 (= @t201 (= @t185 @t1)))) % 0.87/1.11 (assume @p448 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_dom @t372)) (and @t5 @t395))))) % 0.87/1.11 (assume @p449 (forall @t6 (=> @t83 (tptp.subset @t390 @t2)))) % 0.87/1.11 (assume @p450 (forall @t6 (not (and @t22 @t210 @t152)))) % 0.87/1.11 (assume @p451 (forall @t45 (=> @t200 (= @t396 (and @t395 (= @t2 @t398)))))) % 0.87/1.11 (assume @p452 (forall @t13 (=> @t40 (= (tptp.well_orders @t1 @t106) @t178)))) % 0.87/1.11 (assume @p453 (forall @t45 (=> (and @t85 @t168) (tptp.subset (tptp.set_union2 @t1 @t41) @t2)))) % 0.87/1.11 (assume @p454 (forall @t45 (=> @t431 @t86))) % 0.87/1.11 (assume @p455 (forall @t6 (=> @t83 (= (tptp.relation_dom @t390) @t376)))) % 0.87/1.11 (assume @p456 (forall @t6 (=> @t83 (= @t390 (tptp.relation_composition @t81 @t2))))) % 0.87/1.11 (assume @p457 (forall @t6 (=> @t83 (tptp.subset (tptp.relation_rng @t390) @t117)))) % 0.87/1.11 (assume @p458 (forall @t13 (= (tptp.union @t24) @t1))) % 0.87/1.11 (assume @p459 (forall @t115 (=> @t402 (=> @t329 (or (and @t126 @t143) (and @t213 (tptp.quasi_total @t75 @t1 @t41) (tptp.relation_of2_as_subset @t75 @t1 @t41))))))) % 0.87/1.11 (assume @p460 (forall @t13 (exists @t11 (and @t5 @t371 (forall @t105 (not (and @t137 (forall @t99 (not (and @t90 (forall @t97 (=> (tptp.subset @t87 @t41) @t114)))))))) @t369)))) % 0.87/1.11 (assume @p461 (forall @t45 (=> @t431 @t132))) % 0.87/1.11 (step @p462 :rule aci_norm :args ((= @t438 @t436))) % 0.87/1.11 (step @p463 :rule cong :premises (@p462) :args (@t440)) % 0.87/1.11 (step @p464 :rule quant-merge-prenex :args ((= (forall @t13 @t442) @t440))) % 0.87/1.11 (step @p465 :rule alpha_equiv :args (@t443 (@list @t432) @t444)) % 0.87/1.11 (step @p466 :rule refl :args (@t435)) % 0.87/1.11 (step @p467 :rule nary_cong :premises (@p466 @p465) :args (@t445)) % 0.87/1.11 (step @p468 :rule quant-miniscope-or :args ((= @t442 @t445))) % 0.87/1.11 (step @p469 :rule trans :premises (@p468 @p467)) % 0.87/1.11 (step @p470 :rule symm :premises (@p469)) % 0.87/1.11 (step @p471 :rule cong :premises (@p470) :args ((forall @t13 (or @t435 @t448)))) % 0.87/1.11 (step @p472 :rule trans :premises (@p471 @p464)) % 0.87/1.11 (step @p473 :rule trans :premises (@p472 @p463)) % 0.87/1.11 (step @p474 :rule bool-impl-elim :args (@t165 @t448)) % 0.87/1.11 (step @p475 :rule cong :premises (@p474) :args ((forall @t13 (=> @t165 @t448)))) % 0.87/1.11 (step @p476 :rule trans :premises (@p475 @p473)) % 0.87/1.11 (step @p477 :rule bool-impl-elim :args (@t282 @t446)) % 0.87/1.11 (step @p478 :rule cong :premises (@p477) :args ((forall @t11 (=> @t282 @t446)))) % 0.87/1.11 (step @p479 :rule eq-symm :args (@t403 @t2)) % 0.87/1.11 (step @p480 :rule refl :args (@t282)) % 0.87/1.11 (step @p481 :rule cong :premises (@p480 @p479) :args (@t404)) % 0.87/1.11 (step @p482 :rule cong :premises (@p481) :args (@t405)) % 0.87/1.11 (step @p483 :rule trans :premises (@p482 @p478)) % 0.87/1.11 (step @p484 :rule refl :args (@t165)) % 0.87/1.11 (step @p485 :rule cong :premises (@p484 @p483) :args (@t406)) % 0.87/1.11 (step @p486 :rule cong :premises (@p485) :args (@t407)) % 0.87/1.11 (step @p487 :rule trans :premises (@p486 @p476)) % 0.87/1.11 (step @p488 :rule cong :premises (@p487) :args (@t408)) % 0.87/1.11 (step @p489 :rule eq_resolve :premises (@p350 @p488)) % 0.87/1.11 (step @p490 :rule skolemize :premises (@p489)) % 0.87/1.11 (step @p491 :rule cnf_or_neg :args (@t462 2)) % 0.87/1.11 (step @p492 :rule chain_m_resolution :premises (@p491 @p490) :args ((not @t456) @t463 @t464)) % 0.87/1.11 (step @p493 :rule bool-impl-elim :args (@t25 @t465)) % 0.87/1.11 (step @p494 :rule cong :premises (@p493) :args ((forall @t6 (=> @t25 @t465)))) % 0.87/1.11 (step @p495 :rule eq-symm :args (@t265 @t2)) % 0.87/1.11 (step @p496 :rule refl :args (@t25)) % 0.87/1.11 (step @p497 :rule cong :premises (@p496 @p495) :args (@t266)) % 0.87/1.11 (step @p498 :rule cong :premises (@p497) :args (@t267)) % 0.87/1.11 (step @p499 :rule trans :premises (@p498 @p494)) % 0.87/1.11 (step @p500 :rule eq_resolve :premises (@p208 @p499)) % 0.87/1.11 (step @p501 :rule instantiate :premises (@p500) :args ((@list @t453 @t450))) % 0.87/1.11 (step @p502 :rule bool-double-not-elim :args (@t458)) % 0.87/1.11 (step @p503 :rule refl :args (@t462)) % 0.87/1.11 (step @p504 :rule nary_cong :premises (@p503 @p502) :args ((or @t462 (not @t459)))) % 0.87/1.11 (step @p505 :rule cnf_or_neg :args (@t462 1)) % 0.87/1.11 (step @p506 :rule eq_resolve :premises (@p505 @p504)) % 0.87/1.11 (step @p507 :rule reordering :premises (@p506) :args ((or @t458 @t462))) % 0.87/1.11 (step @p508 :rule chain_m_resolution :premises (@p507 @p490) :args (@t458 @t463 @t464)) % 0.87/1.11 (step @p509 :rule cnf_or_pos :args (@t469)) % 0.87/1.11 (step @p510 :rule reordering :premises (@p509) :args ((or @t459 @t468 (not @t469)))) % 0.87/1.11 (step @p511 :rule chain_m_resolution :premises (@p510 @p508 @p501) :args (@t468 @t470 (@list @t458 @t469))) % 0.87/1.11 (step @p512 :rule aci_norm :args ((= @t476 @t474))) % 0.87/1.11 (step @p513 :rule cong :premises (@p512) :args (@t478)) % 0.87/1.11 (step @p514 :rule quant-merge-prenex :args ((= (forall @t13 @t480) @t478))) % 0.87/1.11 (step @p515 :rule alpha_equiv :args (@t481 (@list @t471) @t444)) % 0.87/1.11 (step @p516 :rule nary_cong :premises (@p466 @p515) :args (@t482)) % 0.87/1.11 (step @p517 :rule quant-miniscope-or :args ((= @t480 @t482))) % 0.87/1.11 (step @p518 :rule trans :premises (@p517 @p516)) % 0.87/1.11 (step @p519 :rule symm :premises (@p518)) % 0.87/1.11 (step @p520 :rule cong :premises (@p519) :args ((forall @t13 (or @t435 @t483)))) % 0.87/1.11 (step @p521 :rule trans :premises (@p520 @p514)) % 0.87/1.11 (step @p522 :rule trans :premises (@p521 @p513)) % 0.87/1.11 (step @p523 :rule bool-impl-elim :args (@t165 @t483)) % 0.87/1.11 (step @p524 :rule cong :premises (@p523) :args ((forall @t13 (=> @t165 @t483)))) % 0.87/1.11 (step @p525 :rule trans :premises (@p524 @p522)) % 0.87/1.11 (step @p526 :rule bool-impl-elim :args (@t282 @t385)) % 0.87/1.11 (step @p527 :rule cong :premises (@p526) :args (@t386)) % 0.87/1.11 (step @p528 :rule cong :premises (@p484 @p527) :args (@t387)) % 0.87/1.11 (step @p529 :rule cong :premises (@p528) :args (@t388)) % 0.87/1.11 (step @p530 :rule trans :premises (@p529 @p525)) % 0.87/1.11 (step @p531 :rule eq_resolve :premises (@p331 @p530)) % 0.87/1.11 (step @p532 :rule eq-symm :args (@t466 @t454)) % 0.87/1.11 (step @p533 :rule refl :args (@t459)) % 0.87/1.11 (step @p534 :rule refl :args (@t461)) % 0.87/1.11 (step @p535 :rule nary_cong :premises (@p534 @p533 @p532) :args (@t484)) % 0.87/1.11 (step @p536 :rule refl :args (@t485)) % 0.87/1.11 (step @p537 :rule cong :premises (@p536 @p535) :args ((=> @t485 @t484))) % 0.87/1.11 (assume-push @p605 @t485) % 0.87/1.11 (step @p539 :rule instantiate :premises (@p531) :args ((@list @t451 @t450))) % 0.87/1.11 (step-pop @p606 :rule scope :premises (@p539)) % 0.87/1.11 (step @p540 :rule process_scope :premises (@p606) :args (@t484)) % 0.87/1.11 (step @p542 :rule eq_resolve :premises (@p540 @p537)) % 0.87/1.11 (step @p543 :rule implies_elim :premises (@p542)) % 0.87/1.11 (step @p544 :rule chain_m_resolution :premises (@p543 @p531) :args (@t487 @t488 @t489)) % 0.87/1.11 (step @p545 :rule bool-double-not-elim :args (@t460)) % 0.87/1.11 (step @p546 :rule nary_cong :premises (@p503 @p545) :args ((or @t462 (not @t461)))) % 0.87/1.11 (step @p547 :rule cnf_or_neg :args (@t462 0)) % 0.87/1.11 (step @p548 :rule eq_resolve :premises (@p547 @p546)) % 0.87/1.11 (step @p549 :rule reordering :premises (@p548) :args ((or @t460 @t462))) % 0.87/1.11 (step @p550 :rule chain_m_resolution :premises (@p549 @p490) :args (@t460 @t463 @t464)) % 0.87/1.11 (step @p551 :rule cnf_or_pos :args (@t487)) % 0.87/1.11 (step @p552 :rule reordering :premises (@p551) :args ((or @t461 @t459 @t486 (not @t487)))) % 0.87/1.11 (step @p553 :rule chain_m_resolution :premises (@p552 @p550 @p508 @p544) :args (@t486 @t490 (@list @t460 @t458 @t487))) % 0.87/1.11 (step @p554 :rule eq-symm :args (@t491 @t455)) % 0.87/1.11 (step @p555 :rule refl :args (@t493)) % 0.87/1.11 (step @p556 :rule nary_cong :premises (@p534 @p555 @p554) :args (@t494)) % 0.87/1.11 (step @p557 :rule cong :premises (@p536 @p556) :args ((=> @t485 @t494))) % 0.87/1.11 (assume-push @p607 @t485) % 0.87/1.11 (step @p559 :rule instantiate :premises (@p531) :args ((@list @t451 @t454))) % 0.87/1.11 (step-pop @p608 :rule scope :premises (@p559)) % 0.87/1.12 (step @p560 :rule process_scope :premises (@p608) :args (@t494)) % 0.87/1.12 (step @p562 :rule eq_resolve :premises (@p560 @p557)) % 0.87/1.12 (step @p563 :rule implies_elim :premises (@p562)) % 0.87/1.12 (step @p564 :rule chain_m_resolution :premises (@p563 @p531) :args (@t496 @t488 @t489)) % 0.87/1.12 (step @p565 :rule aci_norm :args ((= (or (or @t498 @t497) @t229) (or @t498 @t497 @t229)))) % 0.87/1.12 (step @p566 :rule refl :args (@t229)) % 0.87/1.12 (step @p567 :rule bool-and-de-morgan :args (@t25 @t71 true)) % 0.87/1.12 (step @p568 :rule nary_cong :premises (@p567 @p566) :args ((or (not @t72) @t229))) % 0.87/1.12 (step @p569 :rule trans :premises (@p568 @p565)) % 0.87/1.12 (step @p570 :rule bool-impl-elim :args (@t72 @t229)) % 0.87/1.12 (step @p571 :rule trans :premises (@p570 @p569)) % 0.87/1.12 (step @p572 :rule cong :premises (@p571) :args (@t230)) % 0.87/1.12 (step @p573 :rule eq_resolve :premises (@p132 @p572)) % 0.87/1.12 (step @p574 :rule instantiate :premises (@p573) :args ((@list @t453 @t452 @t450))) % 0.87/1.12 (step @p575 :rule bool-impl-elim :args (@t165 @t218)) % 0.87/1.12 (step @p576 :rule cong :premises (@p575) :args (@t219)) % 0.87/1.12 (step @p577 :rule eq_resolve :premises (@p118 @p576)) % 0.87/1.12 (step @p578 :rule instantiate :premises (@p577) :args ((@list @t451))) % 0.87/1.12 (step @p579 :rule cnf_or_pos :args (@t500)) % 0.87/1.12 (step @p580 :rule reordering :premises (@p579) :args ((or @t461 @t499 (not @t500)))) % 0.87/1.12 (step @p581 :rule chain_m_resolution :premises (@p580 @p550 @p578) :args (@t499 @t470 (@list @t460 @t500))) % 0.87/1.12 (step @p582 :rule cnf_or_pos :args (@t502)) % 0.87/1.12 (step @p583 :rule reordering :premises (@p582) :args ((or @t459 @t501 @t492 (not @t502)))) % 0.87/1.12 (step @p584 :rule chain_m_resolution :premises (@p583 @p508 @p581 @p574) :args (@t492 @t490 (@list @t458 @t499 @t502))) % 0.87/1.12 (step @p585 :rule cnf_or_pos :args (@t496)) % 0.87/1.12 (step @p586 :rule reordering :premises (@p585) :args ((or @t461 @t493 @t495 (not @t496)))) % 0.87/1.12 (step @p587 :rule chain_m_resolution :premises (@p586 @p550 @p584 @p564) :args (@t495 @t490 (@list @t460 @t492 @t496))) % 0.87/1.12 (assume-push @p609 @t468) % 0.87/1.12 (assume-push @p610 @t486) % 0.87/1.12 (assume-push @p611 @t495) % 0.87/1.12 (step @p591 :rule symm :premises (@p587)) % 0.87/1.12 (step @p592 :rule symm :premises (@p553)) % 0.87/1.12 (step @p593 :rule refl :args (@t453)) % 0.87/1.12 (step @p594 :rule cong :premises (@p593 @p592) :args (@t467)) % 0.87/1.12 (step @p595 :rule trans :premises (@p511 @p594 @p591)) % 0.87/1.12 (step-pop @p612 :rule scope :premises (@p595)) % 0.87/1.12 (step-pop @p613 :rule scope :premises (@p612)) % 0.87/1.12 (step-pop @p614 :rule scope :premises (@p613)) % 0.87/1.12 (step @p596 :rule process_scope :premises (@p614) :args (@t456)) % 0.87/1.12 (step @p600 :rule implies_elim :premises (@p596)) % 0.87/1.12 (step @p601 :rule cnf_and_neg :args (@t503)) % 0.87/1.12 (step @p602 :rule resolution :premises (@p601 @p600) :args (true @t503)) % 0.87/1.12 (step @p603 :rule reordering :premises (@p602) :args ((or @t456 (not @t468) (not @t486) (not @t495)))) % 0.87/1.12 (step @p604 false :rule chain_m_resolution :premises (@p603 @p587 @p553 @p511 @p492) :args (false (@list false false false true) (@list @t495 @t486 @t468 @t456))) % 0.87/1.12 ) % 0.87/1.12 % SZS output end Proof % 0.87/1.12 % cvc5 exiting %------------------------------------------------------------------------------