%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU306+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 : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:19 AM UTC 2026 % Result : Theorem 0.46s 0.88s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEU306+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n008.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:55:18 EDT 2026 % 0.16/0.35 % CPUTime : % 0.39/0.61 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.88 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.88 % SZS status Theorem % 0.46/0.88 % SZS output start Proof % 0.46/0.88 ( % 0.46/0.88 (declare-sort $$unsorted 0) % 0.46/0.88 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.function (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.empty_set $$unsorted) % 0.46/0.88 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.omega $$unsorted) % 0.46/0.88 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.88 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.46/0.88 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.46/0.88 (define @t1 () (@var "A" $$unsorted)) % 0.46/0.88 (define @t2 () (@var "B" $$unsorted)) % 0.46/0.88 (define @t3 () (tptp.in @t2 @t1)) % 0.46/0.88 (define @t4 () (not @t3)) % 0.46/0.88 (define @t5 () (tptp.in @t1 @t2)) % 0.46/0.88 (define @t6 () (@list @t1 @t2)) % 0.46/0.88 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.46/0.88 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.46/0.88 (define @t9 () (tptp.v1_xcmplx_0 @t2)) % 0.46/0.88 (define @t10 () (tptp.element @t2 @t1)) % 0.46/0.88 (define @t11 () (@list @t2)) % 0.46/0.88 (define @t12 () (tptp.v1_membered @t1)) % 0.46/0.88 (define @t13 () (@list @t1)) % 0.46/0.88 (define @t14 () (tptp.v1_xreal_0 @t2)) % 0.46/0.88 (define @t15 () (tptp.v2_membered @t1)) % 0.46/0.88 (define @t16 () (tptp.v1_rat_1 @t2)) % 0.46/0.88 (define @t17 () (tptp.v3_membered @t1)) % 0.46/0.88 (define @t18 () (tptp.v1_int_1 @t2)) % 0.46/0.88 (define @t19 () (tptp.v4_membered @t1)) % 0.46/0.88 (define @t20 () (tptp.natural @t2)) % 0.46/0.88 (define @t21 () (tptp.v5_membered @t1)) % 0.46/0.88 (define @t22 () (tptp.empty @t1)) % 0.46/0.88 (define @t23 () (tptp.v1_membered @t2)) % 0.46/0.88 (define @t24 () (tptp.powerset @t1)) % 0.46/0.88 (define @t25 () (tptp.element @t2 @t24)) % 0.46/0.88 (define @t26 () (tptp.v2_membered @t2)) % 0.46/0.88 (define @t27 () (tptp.v3_membered @t2)) % 0.46/0.88 (define @t28 () (tptp.v4_membered @t2)) % 0.46/0.88 (define @t29 () (tptp.ordinal @t2)) % 0.46/0.88 (define @t30 () (tptp.epsilon_connected @t2)) % 0.46/0.88 (define @t31 () (tptp.epsilon_transitive @t2)) % 0.46/0.88 (define @t32 () (tptp.ordinal @t1)) % 0.46/0.88 (define @t33 () (tptp.finite @t1)) % 0.46/0.88 (define @t34 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 0.46/0.88 (define @t35 () (tptp.preboolean @t1)) % 0.46/0.88 (define @t36 () (tptp.function @t1)) % 0.46/0.88 (define @t37 () (tptp.epsilon_connected @t1)) % 0.46/0.88 (define @t38 () (tptp.epsilon_transitive @t1)) % 0.46/0.88 (define @t39 () (and @t38 @t37)) % 0.46/0.88 (define @t40 () (tptp.relation @t1)) % 0.46/0.88 (define @t41 () (@var "C" $$unsorted)) % 0.46/0.88 (define @t42 () (tptp.relation @t41)) % 0.46/0.88 (define @t43 () (tptp.cartesian_product2 @t1 @t2)) % 0.46/0.88 (define @t44 () (tptp.element @t41 (tptp.powerset @t43))) % 0.46/0.88 (define @t45 () (@list @t1 @t2 @t41)) % 0.46/0.88 (define @t46 () (tptp.natural @t1)) % 0.46/0.88 (define @t47 () (and @t38 @t37 @t32 @t46)) % 0.46/0.88 (define @t48 () (tptp.finite @t2)) % 0.46/0.88 (define @t49 () (tptp.one_to_one @t1)) % 0.46/0.88 (define @t50 () (and @t40 @t36 @t49)) % 0.46/0.88 (define @t51 () (and @t40 @t22 @t36)) % 0.46/0.88 (define @t52 () (and @t38 @t37 @t32)) % 0.46/0.88 (define @t53 () (tptp.unordered_pair @t1 @t2)) % 0.46/0.88 (define @t54 () (tptp.set_union2 @t2 @t1)) % 0.46/0.88 (define @t55 () (tptp.set_union2 @t1 @t2)) % 0.46/0.88 (define @t56 () (tptp.join_commut @t1 @t2 @t41)) % 0.46/0.88 (define @t57 () (tptp.the_carrier @t1)) % 0.46/0.88 (define @t58 () (tptp.element @t41 @t57)) % 0.46/0.88 (define @t59 () (tptp.element @t2 @t57)) % 0.46/0.88 (define @t60 () (tptp.join_semilatt_str @t1)) % 0.46/0.88 (define @t61 () (tptp.join_commutative @t1)) % 0.46/0.88 (define @t62 () (not (tptp.empty_carrier @t1))) % 0.46/0.88 (define @t63 () (and @t62 @t61 @t60 @t59 @t58)) % 0.46/0.88 (define @t64 () (tptp.set_intersection2 @t1 @t2)) % 0.46/0.88 (define @t65 () (tptp.meet_commut @t1 @t2 @t41)) % 0.46/0.88 (define @t66 () (tptp.meet_semilatt_str @t1)) % 0.46/0.88 (define @t67 () (tptp.meet_commutative @t1)) % 0.46/0.88 (define @t68 () (and @t62 @t67 @t66 @t59 @t58)) % 0.46/0.88 (define @t69 () (tptp.ordinal_subset @t1 @t2)) % 0.46/0.88 (define @t70 () (and @t32 @t29)) % 0.46/0.88 (define @t71 () (@var "D" $$unsorted)) % 0.46/0.88 (define @t72 () (= @t41 @t71)) % 0.46/0.88 (define @t73 () (tptp.in @t41 @t1)) % 0.46/0.88 (define @t74 () (tptp.ordered_pair @t41 @t71)) % 0.46/0.88 (define @t75 () (tptp.in @t74 @t2)) % 0.46/0.88 (define @t76 () (@list @t41 @t71)) % 0.46/0.88 (define @t77 () (tptp.identity_relation @t1)) % 0.46/0.88 (define @t78 () (= @t2 @t77)) % 0.46/0.88 (define @t79 () (tptp.relation @t2)) % 0.46/0.88 (define @t80 () (tptp.subset @t2 @t1)) % 0.46/0.88 (define @t81 () (tptp.subset @t1 @t2)) % 0.46/0.88 (define @t82 () (= @t1 @t2)) % 0.46/0.88 (define @t83 () (@var "E" $$unsorted)) % 0.46/0.88 (define @t84 () (tptp.ordered_pair @t71 @t83)) % 0.46/0.88 (define @t85 () (tptp.in @t84 @t1)) % 0.46/0.88 (define @t86 () (tptp.in @t71 @t2)) % 0.46/0.88 (define @t87 () (tptp.in @t84 @t41)) % 0.46/0.88 (define @t88 () (@list @t71 @t83)) % 0.46/0.88 (define @t89 () (tptp.relation_dom_restriction @t1 @t2)) % 0.46/0.88 (define @t90 () (@list @t2 @t41)) % 0.46/0.88 (define @t91 () (tptp.in @t83 @t2)) % 0.46/0.88 (define @t92 () (tptp.relation_dom @t1)) % 0.46/0.88 (define @t93 () (@list @t83)) % 0.46/0.88 (define @t94 () (tptp.in @t71 @t41)) % 0.46/0.88 (define @t95 () (@list @t71)) % 0.46/0.88 (define @t96 () (tptp.relation_image @t1 @t2)) % 0.46/0.88 (define @t97 () (= @t41 @t96)) % 0.46/0.88 (define @t98 () (and @t40 @t36)) % 0.46/0.88 (define @t99 () (tptp.in @t83 @t1)) % 0.46/0.88 (define @t100 () (tptp.relation_rng_restriction @t1 @t2)) % 0.46/0.88 (define @t101 () (@list @t41)) % 0.46/0.88 (define @t102 () (tptp.relation_field @t1)) % 0.46/0.88 (define @t103 () (tptp.antisymmetric @t1)) % 0.46/0.88 (define @t104 () (tptp.apply @t1 @t71)) % 0.46/0.88 (define @t105 () (tptp.in @t71 @t92)) % 0.46/0.88 (define @t106 () (= @t41 (tptp.relation_inverse_image @t1 @t2))) % 0.46/0.88 (define @t107 () (tptp.ordered_pair @t83 @t71)) % 0.46/0.88 (define @t108 () (tptp.connected @t1)) % 0.46/0.88 (define @t109 () (tptp.transitive @t1)) % 0.46/0.88 (define @t110 () (tptp.in @t83 @t71)) % 0.46/0.88 (define @t111 () (@list @t1 @t2 @t41 @t71)) % 0.46/0.88 (define @t112 () (tptp.relation_dom @t2)) % 0.46/0.88 (define @t113 () (tptp.relation_rng @t2)) % 0.46/0.88 (define @t114 () (tptp.function @t2)) % 0.46/0.88 (define @t115 () (tptp.in (tptp.ordered_pair @t2 @t71) @t1)) % 0.46/0.88 (define @t116 () (tptp.ordered_pair @t2 @t41)) % 0.46/0.88 (define @t117 () (tptp.in @t116 @t1)) % 0.46/0.88 (define @t118 () (@list @t2 @t41 @t71)) % 0.46/0.88 (define @t119 () (= @t41 tptp.empty_set)) % 0.46/0.88 (define @t120 () (tptp.quasi_total @t41 @t1 @t2)) % 0.46/0.88 (define @t121 () (= @t1 tptp.empty_set)) % 0.46/0.88 (define @t122 () (= @t2 tptp.empty_set)) % 0.46/0.88 (define @t123 () (tptp.relation_dom_as_subset @t1 @t2 @t41)) % 0.46/0.88 (define @t124 () (tptp.relation_of2_as_subset @t41 @t1 @t2)) % 0.46/0.88 (define @t125 () (tptp.the_L_join @t1)) % 0.46/0.88 (define @t126 () (tptp.join @t1 @t2 @t41)) % 0.46/0.88 (define @t127 () (and @t62 @t60)) % 0.46/0.88 (define @t128 () (= @t2 @t41)) % 0.46/0.88 (define @t129 () (= @t1 @t74)) % 0.46/0.88 (define @t130 () (exists @t90 (= @t1 @t116))) % 0.46/0.88 (define @t131 () (tptp.singleton @t1)) % 0.46/0.88 (define @t132 () (tptp.succ @t1)) % 0.46/0.88 (define @t133 () (tptp.in @t41 @t2)) % 0.46/0.88 (define @t134 () (tptp.is_reflexive_in @t1 @t2)) % 0.46/0.88 (define @t135 () (tptp.relation_of2 @t41 @t1 @t2)) % 0.46/0.88 (define @t136 () (= @t2 (tptp.set_meet @t1))) % 0.46/0.88 (define @t137 () (tptp.in @t41 @t71)) % 0.46/0.88 (define @t138 () (tptp.in @t71 @t1)) % 0.46/0.88 (define @t139 () (not @t121)) % 0.46/0.88 (define @t140 () (= @t71 @t2)) % 0.46/0.88 (define @t141 () (tptp.subset @t41 @t71)) % 0.46/0.88 (define @t142 () (tptp.relation_field @t2)) % 0.46/0.88 (define @t143 () (tptp.inclusion_relation @t1)) % 0.46/0.88 (define @t144 () (tptp.the_L_meet @t1)) % 0.46/0.88 (define @t145 () (tptp.meet @t1 @t2 @t41)) % 0.46/0.88 (define @t146 () (= @t2 @t71)) % 0.46/0.88 (define @t147 () (tptp.in @t74 @t1)) % 0.46/0.88 (define @t148 () (tptp.empty @t2)) % 0.46/0.88 (define @t149 () (not @t22)) % 0.46/0.88 (define @t150 () (not @t122)) % 0.46/0.88 (define @t151 () (tptp.well_founded_relation @t1)) % 0.46/0.88 (define @t152 () (@var "F" $$unsorted)) % 0.46/0.88 (define @t153 () (tptp.ordered_pair @t83 @t152)) % 0.46/0.88 (define @t154 () (tptp.in @t152 @t2)) % 0.46/0.88 (define @t155 () (@list @t83 @t152)) % 0.46/0.88 (define @t156 () (tptp.below @t1 @t2 @t41)) % 0.46/0.88 (define @t157 () (not @t133)) % 0.46/0.88 (define @t158 () (not @t128)) % 0.46/0.88 (define @t159 () (tptp.in @t2 @t41)) % 0.46/0.88 (define @t160 () (tptp.cast_as_carrier_subset @t1)) % 0.46/0.88 (define @t161 () (tptp.one_sorted_str @t1)) % 0.46/0.88 (define @t162 () (=> @t161 (= @t160 @t57))) % 0.46/0.88 (define @t163 () (forall @t13 @t162)) % 0.46/0.88 (define @t164 () (forall @t101 (=> @t73 @t133))) % 0.46/0.88 (define @t165 () (not @t119)) % 0.46/0.88 (define @t166 () (tptp.subset @t41 @t2)) % 0.46/0.88 (define @t167 () (tptp.is_well_founded_in @t1 @t2)) % 0.46/0.88 (define @t168 () (tptp.apply @t1 @t2)) % 0.46/0.88 (define @t169 () (= @t41 @t168)) % 0.46/0.88 (define @t170 () (tptp.in @t2 @t92)) % 0.46/0.88 (define @t171 () (tptp.in (tptp.ordered_pair @t71 @t41) @t1)) % 0.46/0.88 (define @t172 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.46/0.88 (define @t173 () (tptp.cast_to_subset @t1)) % 0.46/0.88 (define @t174 () (tptp.union @t1)) % 0.46/0.88 (define @t175 () (tptp.reflexive @t1)) % 0.46/0.88 (define @t176 () (tptp.well_ordering @t1)) % 0.46/0.88 (define @t177 () (tptp.relation_rng @t41)) % 0.46/0.88 (define @t178 () (tptp.relation_dom @t41)) % 0.46/0.88 (define @t179 () (= @t178 @t1)) % 0.46/0.88 (define @t180 () (tptp.one_to_one @t41)) % 0.46/0.88 (define @t181 () (tptp.function @t41)) % 0.46/0.88 (define @t182 () (tptp.equipotent @t1 @t2)) % 0.46/0.88 (define @t183 () (tptp.set_difference @t1 @t2)) % 0.46/0.88 (define @t184 () (and @t105 (= @t41 @t104))) % 0.46/0.88 (define @t185 () (tptp.relation_rng @t1)) % 0.46/0.88 (define @t186 () (= @t2 @t185)) % 0.46/0.88 (define @t187 () (tptp.being_limit_ordinal @t1)) % 0.46/0.88 (define @t188 () (tptp.subset_complement @t1 @t2)) % 0.46/0.88 (define @t189 () (tptp.ordered_pair @t1 @t2)) % 0.46/0.88 (define @t190 () (tptp.is_connected_in @t1 @t2)) % 0.46/0.88 (define @t191 () (tptp.is_transitive_in @t1 @t2)) % 0.46/0.88 (define @t192 () (tptp.cartesian_product2 @t2 @t2)) % 0.46/0.88 (define @t193 () (tptp.relation_restriction @t1 @t2)) % 0.46/0.88 (define @t194 () (tptp.relation_inverse @t1)) % 0.46/0.88 (define @t195 () (tptp.apply @t41 @t83)) % 0.46/0.88 (define @t196 () (tptp.apply @t41 @t71)) % 0.46/0.88 (define @t197 () (tptp.relation_isomorphism @t1 @t2 @t41)) % 0.46/0.88 (define @t198 () (and @t42 @t181)) % 0.46/0.88 (define @t199 () (tptp.disjoint @t1 @t2)) % 0.46/0.88 (define @t200 () (tptp.meet_absorbing @t1)) % 0.46/0.88 (define @t201 () (tptp.latt_str @t1)) % 0.46/0.88 (define @t202 () (@list @t152)) % 0.46/0.88 (define @t203 () (tptp.relation_composition @t1 @t2)) % 0.46/0.88 (define @t204 () (@list @t41 @t71 @t83)) % 0.46/0.88 (define @t205 () (tptp.complements_of_subsets @t1 @t2)) % 0.46/0.88 (define @t206 () (tptp.powerset @t24)) % 0.46/0.88 (define @t207 () (tptp.element @t2 @t206)) % 0.46/0.88 (define @t208 () (not @t82)) % 0.46/0.88 (define @t209 () (tptp.function_inverse @t1)) % 0.46/0.88 (define @t210 () (tptp.apply_binary_as_element @t1 @t2 @t41 @t71 @t83 @t152)) % 0.46/0.88 (define @t211 () (tptp.function @t71)) % 0.46/0.88 (define @t212 () (not @t148)) % 0.46/0.88 (define @t213 () (and @t149 @t212 @t211 (tptp.quasi_total @t71 @t43 @t41) (tptp.relation_of2 @t71 @t43 @t41) (tptp.element @t83 @t1) (tptp.element @t152 @t2))) % 0.46/0.88 (define @t214 () (@list @t1 @t2 @t41 @t71 @t83 @t152)) % 0.46/0.88 (define @t215 () (tptp.powerset @t57)) % 0.46/0.88 (define @t216 () (tptp.relation @t194)) % 0.46/0.88 (define @t217 () (tptp.relation @t203)) % 0.46/0.88 (define @t218 () (and @t40 @t79)) % 0.46/0.88 (define @t219 () (tptp.powerset @t2)) % 0.46/0.88 (define @t220 () (tptp.relation_rng_as_subset @t1 @t2 @t41)) % 0.46/0.88 (define @t221 () (tptp.union_of_subsets @t1 @t2)) % 0.46/0.88 (define @t222 () (tptp.relation @t77)) % 0.46/0.88 (define @t223 () (tptp.meet_of_subsets @t1 @t2)) % 0.46/0.88 (define @t224 () (tptp.subset_difference @t1 @t2 @t41)) % 0.46/0.88 (define @t225 () (tptp.element @t41 @t24)) % 0.46/0.88 (define @t226 () (and @t25 @t225)) % 0.46/0.88 (define @t227 () (tptp.relation @t89)) % 0.46/0.88 (define @t228 () (tptp.relation @t100)) % 0.46/0.88 (define @t229 () (tptp.cartesian_product2 @t57 @t57)) % 0.46/0.88 (define @t230 () (tptp.finite @t64)) % 0.46/0.88 (define @t231 () (tptp.relation_composition @t2 @t1)) % 0.46/0.88 (define @t232 () (and @t22 @t79)) % 0.46/0.88 (define @t233 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.46/0.88 (define @t234 () (tptp.relation tptp.empty_set)) % 0.46/0.88 (define @t235 () (tptp.empty tptp.empty_set)) % 0.46/0.88 (define @t236 () (tptp.relation_empty_yielding @t1)) % 0.46/0.88 (define @t237 () (and @t40 @t236)) % 0.46/0.88 (define @t238 () (not (tptp.empty @t131))) % 0.46/0.88 (define @t239 () (not (tptp.empty @t24))) % 0.46/0.88 (define @t240 () (not (tptp.empty @t132))) % 0.46/0.88 (define @t241 () (and @t62 @t161)) % 0.46/0.88 (define @t242 () (tptp.ordinal @t132)) % 0.46/0.88 (define @t243 () (tptp.epsilon_connected @t132)) % 0.46/0.88 (define @t244 () (tptp.epsilon_transitive @t132)) % 0.46/0.88 (define @t245 () (and @t79 @t114)) % 0.46/0.88 (define @t246 () (tptp.empty @t92)) % 0.46/0.88 (define @t247 () (and @t149 @t40)) % 0.46/0.88 (define @t248 () (tptp.empty @t185)) % 0.46/0.88 (define @t249 () (tptp.in @t2 @t102)) % 0.46/0.88 (define @t250 () (tptp.disjoint @t131 @t2)) % 0.46/0.88 (define @t251 () (not @t5)) % 0.46/0.88 (define @t252 () (tptp.well_ordering @t2)) % 0.46/0.88 (define @t253 () (tptp.in (tptp.ordered_pair @t41 @t2) @t1)) % 0.46/0.88 (define @t254 () (tptp.singleton @t41)) % 0.46/0.88 (define @t255 () (not @t117)) % 0.46/0.88 (define @t256 () (tptp.singleton @t2)) % 0.46/0.88 (define @t257 () (tptp.union @t2)) % 0.46/0.88 (define @t258 () (tptp.in @t1 @t41)) % 0.46/0.88 (define @t259 () (tptp.element @t1 @t219)) % 0.46/0.88 (define @t260 () (tptp.relation_dom_restriction @t41 @t1)) % 0.46/0.88 (define @t261 () (tptp.in @t2 (tptp.relation_dom @t260))) % 0.46/0.88 (define @t262 () (tptp.one_to_one @t2)) % 0.46/0.88 (define @t263 () (tptp.set_difference @t2 @t41)) % 0.46/0.88 (define @t264 () (@var "K" $$unsorted)) % 0.46/0.88 (define @t265 () (@var "J" $$unsorted)) % 0.46/0.88 (define @t266 () (tptp.in @t264 @t265)) % 0.46/0.88 (define @t267 () (@list @t264)) % 0.46/0.88 (define @t268 () (@list @t265)) % 0.46/0.88 (define @t269 () (= @t71 @t83)) % 0.46/0.88 (define @t270 () (@var "I" $$unsorted)) % 0.46/0.88 (define @t271 () (@var "H" $$unsorted)) % 0.46/0.88 (define @t272 () (tptp.in @t270 @t271)) % 0.46/0.88 (define @t273 () (@list @t270)) % 0.46/0.88 (define @t274 () (@list @t271)) % 0.46/0.88 (define @t275 () (exists @t274 (and (= @t41 @t271) (tptp.in @t83 @t271) (forall @t273 (=> @t272 (tptp.in (tptp.ordered_pair @t83 @t270) @t2)))))) % 0.46/0.88 (define @t276 () (@var "G" $$unsorted)) % 0.46/0.88 (define @t277 () (tptp.in @t276 @t152)) % 0.46/0.88 (define @t278 () (@list @t276)) % 0.46/0.88 (define @t279 () (exists @t202 (and (= @t41 @t152) (tptp.in @t71 @t152) (forall @t278 (=> @t277 (tptp.in (tptp.ordered_pair @t71 @t276) @t2)))))) % 0.46/0.88 (define @t280 () (forall @t204 (=> (and @t73 @t279 @t73 @t275) @t269))) % 0.46/0.88 (define @t281 () (and @t149 @t79)) % 0.46/0.88 (define @t282 () (= @t71 @t256)) % 0.46/0.88 (define @t283 () (= @t41 @t256)) % 0.46/0.88 (define @t284 () (forall @t118 (=> (and @t3 @t283 @t3 @t282) @t72))) % 0.46/0.88 (define @t285 () (tptp.ordinal @t41)) % 0.46/0.88 (define @t286 () (@var "S" $$unsorted)) % 0.46/0.88 (define @t287 () (@var "T" $$unsorted)) % 0.46/0.88 (define @t288 () (@var "R" $$unsorted)) % 0.46/0.88 (define @t289 () (tptp.powerset (tptp.powerset @t71))) % 0.46/0.88 (define @t290 () (@list @t288)) % 0.46/0.88 (define @t291 () (tptp.in @t71 tptp.omega)) % 0.46/0.88 (define @t292 () (tptp.ordinal @t71)) % 0.46/0.88 (define @t293 () (@var "P" $$unsorted)) % 0.46/0.88 (define @t294 () (@var "Q" $$unsorted)) % 0.46/0.88 (define @t295 () (@var "O" $$unsorted)) % 0.46/0.88 (define @t296 () (@list @t294)) % 0.46/0.88 (define @t297 () (@list @t293)) % 0.46/0.88 (define @t298 () (@list @t295)) % 0.46/0.88 (define @t299 () (@var "M" $$unsorted)) % 0.46/0.88 (define @t300 () (@var "N" $$unsorted)) % 0.46/0.88 (define @t301 () (@var "L" $$unsorted)) % 0.46/0.88 (define @t302 () (@list @t300)) % 0.46/0.88 (define @t303 () (tptp.in @t299 @t301)) % 0.46/0.88 (define @t304 () (@list @t299)) % 0.46/0.88 (define @t305 () (@list @t301)) % 0.46/0.88 (define @t306 () (tptp.succ @t71)) % 0.46/0.88 (define @t307 () (=> @t291 (forall @t93 (=> (tptp.element @t83 @t289) (not (and (not (= @t83 tptp.empty_set)) (forall @t202 (not (and (tptp.in @t152 @t83) (forall @t278 (=> (and (tptp.in @t276 @t83) (tptp.subset @t152 @t276)) (= @t276 @t152)))))))))))) % 0.46/0.88 (define @t308 () (tptp.subset @t2 @t41)) % 0.46/0.88 (define @t309 () (tptp.powerset tptp.empty_set)) % 0.46/0.88 (define @t310 () (tptp.apply @t41 @t152)) % 0.46/0.88 (define @t311 () (tptp.in @t152 @t1)) % 0.46/0.88 (define @t312 () (tptp.relation @t71)) % 0.46/0.88 (define @t313 () (and @t79 @t42 @t181)) % 0.46/0.88 (define @t314 () (forall @t267 (=> @t266 (tptp.in (tptp.ordered_pair @t71 @t264) @t2)))) % 0.46/0.88 (define @t315 () (tptp.in @t71 @t265)) % 0.46/0.88 (define @t316 () (= @t152 @t83)) % 0.46/0.88 (define @t317 () (tptp.cartesian_product2 @t1 @t41)) % 0.46/0.88 (define @t318 () (= @t83 @t152)) % 0.46/0.88 (define @t319 () (tptp.ordered_pair @t264 @t301)) % 0.46/0.88 (define @t320 () (@list @t264 @t301)) % 0.46/0.88 (define @t321 () (= @t71 @t152)) % 0.46/0.88 (define @t322 () (tptp.in @t265 @t270)) % 0.46/0.88 (define @t323 () (tptp.in @t276 @t1)) % 0.46/0.88 (define @t324 () (tptp.ordered_pair @t276 @t271)) % 0.46/0.88 (define @t325 () (@list @t276 @t271)) % 0.46/0.88 (define @t326 () (@list @t71 @t83 @t152)) % 0.46/0.88 (define @t327 () (= @t83 @t71)) % 0.46/0.88 (define @t328 () (tptp.in @t271 @t1)) % 0.46/0.88 (define @t329 () (= @t41 @t83)) % 0.46/0.88 (define @t330 () (tptp.ordered_pair @t152 @t276)) % 0.46/0.88 (define @t331 () (@list @t152 @t276)) % 0.46/0.88 (define @t332 () (= @t71 @t41)) % 0.46/0.88 (define @t333 () (not (and (not (= @t152 tptp.empty_set)) (forall @t278 (not (and @t277 (forall @t274 (=> (and (tptp.in @t271 @t152) (tptp.subset @t276 @t271)) (= @t271 @t276))))))))) % 0.46/0.88 (define @t334 () (tptp.ordinal @t83)) % 0.46/0.88 (define @t335 () (and @t32 (tptp.element @t2 (tptp.powerset (tptp.powerset @t132))))) % 0.46/0.88 (define @t336 () (tptp.cartesian_product2 @t1 @t1)) % 0.46/0.88 (define @t337 () (tptp.apply @t41 @t276)) % 0.46/0.88 (define @t338 () (tptp.in (tptp.relation_image @t41 @t83) @t2)) % 0.46/0.88 (define @t339 () (tptp.powerset @t178)) % 0.46/0.88 (define @t340 () (and @t207 @t42 @t181)) % 0.46/0.88 (define @t341 () (tptp.succ @t2)) % 0.46/0.88 (define @t342 () (tptp.apply @t2 @t41)) % 0.46/0.88 (define @t343 () (= @t112 @t1)) % 0.46/0.88 (define @t344 () (exists @t11 (and @t79 @t114 @t343 (forall @t101 (=> @t73 (= @t342 @t254)))))) % 0.46/0.88 (define @t345 () (tptp.in @t1 tptp.omega)) % 0.46/0.88 (define @t346 () (= @t1 @t41)) % 0.46/0.88 (define @t347 () (tptp.relation_rng @t100)) % 0.46/0.88 (define @t348 () (not @t163)) % 0.46/0.88 (define @t349 () (forall @t101 (not (and @t166 (not (tptp.are_equipotent @t41 @t2)) @t157)))) % 0.46/0.88 (define @t350 () (tptp.powerset @t41)) % 0.46/0.88 (define @t351 () (forall @t76 (=> (and @t133 (tptp.subset @t71 @t41)) @t86))) % 0.46/0.88 (define @t352 () (tptp.relation_dom_restriction @t41 @t2)) % 0.46/0.88 (define @t353 () (tptp.relation_image @t2 @t1)) % 0.46/0.88 (define @t354 () (tptp.relation_inverse_image @t2 @t1)) % 0.46/0.88 (define @t355 () (tptp.relation_image @t2 @t354)) % 0.46/0.88 (define @t356 () (tptp.set_intersection2 @t112 @t1)) % 0.46/0.88 (define @t357 () (tptp.subset @t1 @t113)) % 0.46/0.88 (define @t358 () (tptp.relation_of2_as_subset @t71 @t41 @t2)) % 0.46/0.88 (define @t359 () (tptp.relation_rng @t71)) % 0.46/0.88 (define @t360 () (tptp.relation_of2_as_subset @t71 @t41 @t1)) % 0.46/0.88 (define @t361 () (tptp.relation_rng @t203)) % 0.46/0.88 (define @t362 () (tptp.relation_inverse_image @t41 @t2)) % 0.46/0.88 (define @t363 () (tptp.relation_restriction @t41 @t2)) % 0.46/0.88 (define @t364 () (tptp.relation_restriction @t2 @t1)) % 0.46/0.88 (define @t365 () (tptp.relation_dom_restriction @t2 @t1)) % 0.46/0.88 (define @t366 () (tptp.relation_field @t41)) % 0.46/0.88 (define @t367 () (tptp.in @t1 @t366)) % 0.46/0.88 (define @t368 () (tptp.set_intersection2 @t2 @t41)) % 0.46/0.88 (define @t369 () (tptp.subset @t1 @t41)) % 0.46/0.88 (define @t370 () (tptp.element @t1 @t2)) % 0.46/0.88 (define @t371 () (tptp.in @t1 @t178)) % 0.46/0.88 (define @t372 () (tptp.in @t189 @t41)) % 0.46/0.88 (define @t373 () (tptp.relation_field @t364)) % 0.46/0.88 (define @t374 () (tptp.apply @t41 @t1)) % 0.46/0.88 (define @t375 () (tptp.relation_composition @t41 @t2)) % 0.46/0.88 (define @t376 () (tptp.in @t1 (tptp.relation_dom @t375))) % 0.46/0.88 (define @t377 () (tptp.apply @t71 @t41)) % 0.46/0.88 (define @t378 () (and @t211 (tptp.quasi_total @t71 @t1 @t2) (tptp.relation_of2_as_subset @t71 @t1 @t2))) % 0.46/0.88 (define @t379 () (tptp.reflexive @t2)) % 0.46/0.88 (define @t380 () (tptp.connected @t2)) % 0.46/0.88 (define @t381 () (tptp.transitive @t2)) % 0.46/0.88 (define @t382 () (tptp.antisymmetric @t2)) % 0.46/0.88 (define @t383 () (tptp.well_ordering @t364)) % 0.46/0.88 (define @t384 () (= @t373 @t1)) % 0.46/0.88 (define @t385 () (tptp.well_orders @t2 @t1)) % 0.46/0.88 (define @t386 () (tptp.well_founded_relation @t2)) % 0.46/0.88 (define @t387 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.46/0.88 (define @t388 () (and @t73 @t133)) % 0.46/0.88 (define @t389 () (not @t199)) % 0.46/0.88 (define @t390 () (= @t1 @t341)) % 0.46/0.88 (define @t391 () (tptp.subset_complement @t1 @t41)) % 0.46/0.88 (define @t392 () (tptp.disjoint @t2 @t41)) % 0.46/0.88 (define @t393 () (tptp.relation_dom @t203)) % 0.46/0.88 (define @t394 () (tptp.element @t2 @t350)) % 0.46/0.88 (define @t395 () (tptp.in @t41 @t64)) % 0.46/0.88 (define @t396 () (and (tptp.in @t41 @t185) (= @t71 @t342))) % 0.46/0.88 (define @t397 () (tptp.function_inverse @t2)) % 0.46/0.88 (define @t398 () (= @t185 tptp.empty_set)) % 0.46/0.88 (define @t399 () (= @t92 tptp.empty_set)) % 0.46/0.88 (define @t400 () (= (tptp.apply @t260 @t2) (tptp.apply @t41 @t2))) % 0.46/0.88 (define @t401 () (= @t131 (tptp.unordered_pair @t2 @t41))) % 0.46/0.88 (define @t402 () (= @t57 @t160)) % 0.46/0.88 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.46/0.88 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.46/0.88 (assume @p3 (forall @t13 (=> @t12 (forall @t11 (=> @t10 @t9))))) % 0.46/0.88 (assume @p4 (forall @t13 (=> @t15 (forall @t11 (=> @t10 (and @t9 @t14)))))) % 0.46/0.88 (assume @p5 (forall @t13 (=> @t17 (forall @t11 (=> @t10 (and @t9 @t14 @t16)))))) % 0.46/0.88 (assume @p6 (forall @t13 (=> @t19 (forall @t11 (=> @t10 (and @t9 @t14 @t18 @t16)))))) % 0.46/0.88 (assume @p7 (forall @t13 (=> @t21 (forall @t11 (=> @t10 (and @t9 @t20 @t14 @t18 @t16)))))) % 0.46/0.88 (assume @p8 (forall @t13 (=> @t22 (and @t12 @t15 @t17 @t19 @t21)))) % 0.46/0.88 (assume @p9 (forall @t13 (=> @t12 (forall @t11 (=> @t25 @t23))))) % 0.46/0.88 (assume @p10 (forall @t13 (=> @t15 (forall @t11 (=> @t25 (and @t23 @t26)))))) % 0.46/0.88 (assume @p11 (forall @t13 (=> @t17 (forall @t11 (=> @t25 (and @t23 @t26 @t27)))))) % 0.46/0.88 (assume @p12 (forall @t13 (=> @t19 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28)))))) % 0.46/0.88 (assume @p13 (forall @t13 (=> @t32 (forall @t11 (=> @t10 (and @t31 @t30 @t29)))))) % 0.46/0.88 (assume @p14 (forall @t13 (=> @t22 @t33))) % 0.46/0.88 (assume @p15 (forall @t13 (=> @t35 @t34))) % 0.46/0.88 (assume @p16 (forall @t13 (=> @t22 @t36))) % 0.46/0.88 (assume @p17 (forall @t13 (=> @t21 @t19))) % 0.46/0.88 (assume @p18 (forall @t13 (=> @t32 @t39))) % 0.46/0.88 (assume @p19 (forall @t13 (=> @t22 @t40))) % 0.46/0.88 (assume @p20 (forall @t45 (=> @t44 @t42))) % 0.46/0.88 (assume @p21 (forall @t13 (=> @t21 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28 (tptp.v5_membered @t2))))))) % 0.46/0.88 (assume @p22 (forall @t13 (=> (and @t22 @t32) @t47))) % 0.46/0.88 (assume @p23 (forall @t13 (=> @t33 (forall @t11 (=> @t25 @t48))))) % 0.46/0.88 (assume @p24 (forall @t13 (=> @t34 @t35))) % 0.46/0.88 (assume @p25 (forall @t13 (=> @t51 @t50))) % 0.46/0.88 (assume @p26 (forall @t13 (=> @t19 @t17))) % 0.46/0.88 (assume @p27 (forall @t13 (=> @t39 @t32))) % 0.46/0.88 (assume @p28 (forall @t13 (=> (tptp.element @t1 tptp.omega) @t47))) % 0.46/0.88 (assume @p29 (forall @t13 (=> @t17 @t15))) % 0.46/0.88 (assume @p30 (forall @t13 (=> @t22 @t52))) % 0.46/0.88 (assume @p31 (forall @t13 (=> @t15 @t12))) % 0.46/0.88 (assume @p32 (forall @t6 (= @t53 (tptp.unordered_pair @t2 @t1)))) % 0.46/0.88 (assume @p33 (forall @t6 (= @t55 @t54))) % 0.46/0.88 (assume @p34 (forall @t45 (=> @t63 (= @t56 (tptp.join_commut @t1 @t41 @t2))))) % 0.46/0.88 (assume @p35 (forall @t6 (= @t64 (tptp.set_intersection2 @t2 @t1)))) % 0.46/0.88 (assume @p36 (forall @t45 (=> @t68 (= @t65 (tptp.meet_commut @t1 @t41 @t2))))) % 0.46/0.88 (assume @p37 (forall @t6 (=> @t70 (or @t69 (tptp.ordinal_subset @t2 @t1))))) % 0.46/0.88 (assume @p38 (forall @t6 (=> @t79 (= @t78 (forall @t76 (= @t75 (and @t73 @t72))))))) % 0.46/0.88 (assume @p39 (forall @t6 (= @t82 (and @t81 @t80)))) % 0.46/0.88 (assume @p40 (forall @t13 (=> @t40 (forall @t90 (=> @t42 (= (= @t41 @t89) (forall @t88 (= @t87 (and @t86 @t85))))))))) % 0.46/0.88 (assume @p41 (forall @t13 (=> @t98 (forall @t90 (= @t97 (forall @t95 (= @t94 (exists @t93 (and (tptp.in @t83 @t92) @t91 (= @t71 (tptp.apply @t1 @t83))))))))))) % 0.46/0.88 (assume @p42 (forall @t6 (=> @t79 (forall @t101 (=> @t42 (= (= @t41 @t100) (forall @t88 (= @t87 (and @t99 (tptp.in @t84 @t2)))))))))) % 0.46/0.88 (assume @p43 (forall @t13 (=> @t40 (= @t103 (tptp.is_antisymmetric_in @t1 @t102))))) % 0.46/0.88 (assume @p44 (forall @t13 (=> @t98 (forall @t90 (= @t106 (forall @t95 (= @t94 (and @t105 (tptp.in @t104 @t2))))))))) % 0.46/0.88 (assume @p45 (forall @t13 (=> @t40 (forall @t90 (= @t97 (forall @t95 (= @t94 (exists @t93 (and (tptp.in @t107 @t1) @t91))))))))) % 0.46/0.88 (assume @p46 (forall @t13 (=> @t40 (forall @t90 (= @t106 (forall @t95 (= @t94 (exists @t93 (and @t85 @t91))))))))) % 0.46/0.88 (assume @p47 (forall @t13 (=> @t40 (= @t108 (tptp.is_connected_in @t1 @t102))))) % 0.46/0.88 (assume @p48 (forall @t13 (=> @t40 (= @t109 (tptp.is_transitive_in @t1 @t102))))) % 0.46/0.88 (assume @p49 (forall @t111 (= (= @t71 (tptp.unordered_triple @t1 @t2 @t41)) (forall @t93 (= @t110 (not (and (not (= @t83 @t1)) (not (= @t83 @t2)) (not (= @t83 @t41))))))))) % 0.46/0.88 (assume @p50 (forall @t13 (= @t33 (exists @t11 (and @t79 @t114 (= @t113 @t1) (tptp.in @t112 tptp.omega)))))) % 0.46/0.88 (assume @p51 (forall @t13 (= @t36 (forall @t118 (=> (and @t117 @t115) @t72))))) % 0.46/0.88 (assume @p52 (forall @t45 (=> @t124 (and (=> (=> @t122 @t121) (= @t120 (= @t1 @t123))) (=> @t122 (or @t121 (= @t120 @t119))))))) % 0.46/0.88 (assume @p53 (forall @t13 (=> @t127 (forall @t11 (=> @t59 (forall @t101 (=> @t58 (= @t126 (tptp.apply_binary_as_element @t57 @t57 @t57 @t125 @t2 @t41))))))))) % 0.46/0.88 (assume @p54 (forall @t13 (=> @t130 (forall @t11 (= (= @t2 (tptp.pair_first @t1)) (forall @t76 (=> @t129 @t128))))))) % 0.46/0.88 (assume @p55 (forall @t13 (= @t132 (tptp.set_union2 @t1 @t131)))) % 0.46/0.88 (assume @p56 (forall @t13 (= @t40 (forall @t11 (not (and @t3 (forall @t76 (not (= @t2 @t74))))))))) % 0.46/0.88 (assume @p57 (forall @t13 (=> @t40 (forall @t11 (= @t134 (forall @t101 (=> @t133 (tptp.in (tptp.ordered_pair @t41 @t41) @t1)))))))) % 0.46/0.88 (assume @p58 (forall @t45 (= @t135 (tptp.subset @t41 @t43)))) % 0.46/0.88 (assume @p59 (forall @t6 (and (=> @t139 (= @t136 (forall @t101 (= @t133 (forall @t95 (=> @t138 @t137)))))) (=> @t121 (= @t136 @t122))))) % 0.46/0.88 (assume @p60 (forall @t6 (= (= @t2 @t131) (forall @t101 (= @t133 (= @t41 @t1)))))) % 0.46/0.88 (assume @p61 (forall @t13 (=> @t40 (forall @t90 (= (= @t41 (tptp.fiber @t1 @t2)) (forall @t95 (= @t94 (and (not @t140) (tptp.in (tptp.ordered_pair @t71 @t2) @t1))))))))) % 0.46/0.88 (assume @p62 (forall @t6 (=> @t79 (= (= @t2 @t143) (and (= @t142 @t1) (forall @t76 (=> (and @t73 @t138) (= @t75 @t141)))))))) % 0.46/0.88 (assume @p63 (forall @t13 (= @t121 (forall @t11 @t4)))) % 0.46/0.88 (assume @p64 (forall @t6 (= (= @t2 @t24) (forall @t101 (= @t133 (tptp.subset @t41 @t1)))))) % 0.46/0.88 (assume @p65 (forall @t13 (=> (and @t62 @t66) (forall @t11 (=> @t59 (forall @t101 (=> @t58 (= @t145 (tptp.apply_binary_as_element @t57 @t57 @t57 @t144 @t2 @t41))))))))) % 0.46/0.88 (assume @p66 (forall @t13 (=> @t130 (forall @t11 (= (= @t2 (tptp.pair_second @t1)) (forall @t76 (=> @t129 @t146))))))) % 0.46/0.88 (assume @p67 (forall @t13 (= @t38 (forall @t11 (=> @t3 @t80))))) % 0.46/0.88 (assume @p68 (forall @t13 (=> @t40 (forall @t11 (=> @t79 (= @t82 (forall @t76 (= @t147 @t75)))))))) % 0.46/0.88 (assume @p69 (forall @t6 (and (=> @t149 (= @t10 @t3)) (=> @t22 (= @t10 @t148))))) % 0.46/0.88 (assume @p70 (forall @t45 (= (= @t41 @t53) (forall @t95 (= @t94 (or (= @t71 @t1) @t140)))))) % 0.46/0.88 (assume @p71 (forall @t13 (=> @t40 (= @t151 (forall @t11 (not (and (tptp.subset @t2 @t102) @t150 (forall @t101 (not (and @t133 (tptp.disjoint (tptp.fiber @t1 @t41) @t2))))))))))) % 0.46/0.88 (assume @p72 (forall @t45 (= (= @t41 @t55) (forall @t95 (= @t94 (or @t138 @t86)))))) % 0.46/0.88 (assume @p73 (forall @t45 (= (= @t41 @t43) (forall @t95 (= @t94 (exists @t155 (and @t99 @t154 (= @t71 @t153)))))))) % 0.46/0.88 (assume @p74 (forall @t13 (=> @t127 (forall @t11 (=> @t59 (forall @t101 (=> @t58 (= @t156 (= @t126 @t41))))))))) % 0.46/0.88 (assume @p75 (forall @t13 (= @t37 (forall @t90 (not (and @t3 @t73 (not @t159) @t158 @t157)))))) % 0.46/0.88 (assume @p76 @t163) % 0.46/0.88 (assume @p77 (forall @t13 (=> @t40 (forall @t11 (=> @t79 (= @t81 (forall @t76 (=> @t147 @t75)))))))) % 0.46/0.88 (assume @p78 (forall @t6 (= @t81 @t164))) % 0.46/0.88 (assume @p79 (forall @t13 (=> @t40 (forall @t11 (= @t167 (forall @t101 (not (and @t166 @t165 (forall @t95 (not (and @t94 (tptp.disjoint (tptp.fiber @t1 @t71) @t41)))))))))))) % 0.46/0.88 (assume @p80 (forall @t45 (= (= @t41 @t64) (forall @t95 (= @t94 (and @t138 @t86)))))) % 0.46/0.88 (assume @p81 (forall @t13 (=> @t98 (forall @t90 (and (=> @t170 (= @t169 @t117)) (=> (not @t170) (= @t169 @t119))))))) % 0.46/0.88 (assume @p82 (forall @t13 (= @t32 @t39))) % 0.46/0.88 (assume @p83 (forall @t13 (=> @t40 (forall @t11 (= (= @t2 @t92) (forall @t101 (= @t133 (exists @t95 @t147)))))))) % 0.46/0.88 (assume @p84 (forall @t13 (=> @t40 (forall @t11 (= @t172 (forall @t76 (=> (and @t133 @t86 @t147 @t171) @t72))))))) % 0.46/0.88 (assume @p85 (forall @t13 (= @t173 @t1))) % 0.46/0.88 (assume @p86 (forall @t6 (= (= @t2 @t174) (forall @t101 (= @t133 (exists @t95 (and @t137 @t138))))))) % 0.46/0.88 (assume @p87 (forall @t13 (=> @t40 (= @t176 (and @t175 @t109 @t103 @t108 @t151))))) % 0.46/0.88 (assume @p88 (forall @t6 (= @t182 (exists @t101 (and @t42 @t181 @t180 @t179 (= @t177 @t2)))))) % 0.46/0.88 (assume @p89 (forall @t45 (= (= @t41 @t183) (forall @t95 (= @t94 (and @t138 (not @t86))))))) % 0.46/0.88 (assume @p90 (forall @t13 (=> @t98 (forall @t11 (= @t186 (forall @t101 (= @t133 (exists @t95 @t184)))))))) % 0.46/0.88 (assume @p91 (forall @t13 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t187 @t32 (forall @t11 (=> @t29 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t81))))))) % 0.46/0.88 (assume @p92 (forall @t13 (=> @t40 (forall @t11 (= @t186 (forall @t101 (= @t133 (exists @t95 @t171)))))))) % 0.46/0.88 (assume @p93 (forall @t6 (=> @t25 (= @t188 @t183)))) % 0.46/0.88 (assume @p94 (forall @t6 (= @t189 (tptp.unordered_pair @t53 @t131)))) % 0.46/0.88 (assume @p95 (forall @t13 (=> @t40 (forall @t11 (= (tptp.well_orders @t1 @t2) (and @t134 @t191 @t172 @t190 @t167)))))) % 0.46/0.88 (assume @p96 (forall @t13 (= @t187 (= @t1 @t174)))) % 0.46/0.88 (assume @p97 (forall @t13 (=> @t40 (= @t102 (tptp.set_union2 @t92 @t185))))) % 0.46/0.88 (assume @p98 (forall @t13 (=> @t40 (forall @t11 (= @t190 (forall @t76 (not (and @t133 @t86 (not @t72) (not @t147) (not @t171))))))))) % 0.46/0.88 (assume @p99 (forall @t13 (=> @t40 (forall @t11 (= @t193 (tptp.set_intersection2 @t1 @t192)))))) % 0.46/0.88 (assume @p100 (forall @t13 (=> @t40 (forall @t11 (=> @t79 (= (= @t2 @t194) (forall @t76 (= @t75 @t171)))))))) % 0.46/0.88 (assume @p101 (forall @t13 (=> @t40 (forall @t11 (=> @t79 (forall @t101 (=> @t198 (= @t197 (and (= @t178 @t102) (= @t177 @t142) @t180 (forall @t88 (= @t85 (and (tptp.in @t71 @t102) (tptp.in @t83 @t102) (tptp.in (tptp.ordered_pair @t196 @t195) @t2))))))))))))) % 0.46/0.88 (assume @p102 (forall @t6 (= @t199 (= @t64 tptp.empty_set)))) % 0.46/0.88 (assume @p103 (forall @t13 (=> @t98 (= @t49 (forall @t90 (=> (and @t170 (tptp.in @t41 @t92) (= @t168 (tptp.apply @t1 @t41))) @t128)))))) % 0.46/0.88 (assume @p104 (forall @t13 (=> (and @t62 @t201) (= @t200 (forall @t11 (=> @t59 (forall @t101 (=> @t58 (= (tptp.join @t1 @t145 @t41) @t41))))))))) % 0.46/0.88 (assume @p105 (forall @t13 (=> @t40 (forall @t11 (=> @t79 (forall @t101 (=> @t42 (= (= @t41 @t203) (forall @t88 (= @t87 (exists @t202 (and (tptp.in (tptp.ordered_pair @t71 @t152) @t1) (tptp.in (tptp.ordered_pair @t152 @t83) @t2))))))))))))) % 0.46/0.88 (assume @p106 (forall @t13 (=> @t40 (forall @t11 (= @t191 (forall @t204 (=> (and @t133 @t86 @t91 @t147 @t85) (tptp.in (tptp.ordered_pair @t41 @t83) @t1)))))))) % 0.46/0.88 (assume @p107 (forall @t6 (=> @t207 (forall @t101 (=> (tptp.element @t41 @t206) (= (= @t41 @t205) (forall @t95 (=> (tptp.element @t71 @t24) (= @t94 (tptp.in (tptp.subset_complement @t1 @t71) @t2)))))))))) % 0.46/0.88 (assume @p108 (forall @t6 (= @t8 (and @t81 @t208)))) % 0.46/0.88 (assume @p109 (forall @t13 (=> @t98 (=> @t49 (= @t209 @t194))))) % 0.46/0.88 (assume @p110 (forall @t13 (=> @t40 (= @t175 (tptp.is_reflexive_in @t1 @t102))))) % 0.46/0.88 (assume @p111 true) % 0.46/0.88 (assume @p112 (forall @t45 (=> (and @t62 @t60 @t59 @t58) (tptp.element @t126 @t57)))) % 0.46/0.88 (assume @p113 (forall @t13 (tptp.relation @t143))) % 0.46/0.88 (assume @p114 (forall @t214 (=> @t213 (tptp.element @t210 @t41)))) % 0.46/0.88 (assume @p115 (forall @t13 (=> @t98 (and (tptp.relation @t209) (tptp.function @t209))))) % 0.46/0.88 (assume @p116 (forall @t45 (=> (and @t62 @t66 @t59 @t58) (tptp.element @t145 @t57)))) % 0.46/0.88 (assume @p117 (forall @t13 (=> @t161 (tptp.element @t160 @t215)))) % 0.46/0.88 (assume @p118 (forall @t13 (tptp.element @t173 @t24))) % 0.46/0.88 (assume @p119 (forall @t6 (=> @t40 (tptp.relation @t193)))) % 0.46/0.88 (assume @p120 (forall @t45 (=> @t63 (tptp.element @t56 @t57)))) % 0.46/0.88 (assume @p121 (forall @t6 (=> @t25 (tptp.element @t188 @t24)))) % 0.46/0.88 (assume @p122 (forall @t45 (=> @t68 (tptp.element @t65 @t57)))) % 0.46/0.88 (assume @p123 (forall @t13 (=> @t40 @t216))) % 0.46/0.88 (assume @p124 (forall @t45 (=> @t135 (tptp.element @t123 @t24)))) % 0.46/0.88 (assume @p125 (forall @t6 (=> @t218 @t217))) % 0.46/0.88 (assume @p126 (forall @t45 (=> @t135 (tptp.element @t220 @t219)))) % 0.46/0.88 (assume @p127 (forall @t6 (=> @t207 (tptp.element @t221 @t24)))) % 0.46/0.88 (assume @p128 (forall @t13 @t222)) % 0.46/0.88 (assume @p129 (forall @t6 (=> @t207 (tptp.element @t223 @t24)))) % 0.46/0.88 (assume @p130 (forall @t45 (=> @t226 (tptp.element @t224 @t24)))) % 0.46/0.88 (assume @p131 (forall @t6 (=> @t40 @t227))) % 0.46/0.88 (assume @p132 (forall @t6 (=> @t207 (tptp.element @t205 @t206)))) % 0.46/0.88 (assume @p133 (forall @t6 (=> @t79 @t228))) % 0.46/0.88 (assume @p134 (forall @t13 (=> @t66 @t161))) % 0.46/0.88 (assume @p135 (forall @t13 (=> @t60 @t161))) % 0.46/0.88 (assume @p136 (forall @t13 (=> @t201 (and @t66 @t60)))) % 0.46/0.88 (assume @p137 (forall @t45 (=> @t124 @t44))) % 0.46/0.88 (assume @p138 (forall @t13 (=> @t66 (and (tptp.function @t144) (tptp.quasi_total @t144 @t229 @t57) (tptp.relation_of2_as_subset @t144 @t229 @t57))))) % 0.46/0.88 (assume @p139 (forall @t13 (=> @t60 (and (tptp.function @t125) (tptp.quasi_total @t125 @t229 @t57) (tptp.relation_of2_as_subset @t125 @t229 @t57))))) % 0.46/0.88 (assume @p140 (exists @t13 @t66)) % 0.46/0.88 (assume @p141 (exists @t13 @t161)) % 0.46/0.88 (assume @p142 (exists @t13 @t60)) % 0.46/0.88 (assume @p143 (exists @t13 @t201)) % 0.46/0.88 (assume @p144 (forall @t6 (exists @t101 @t135))) % 0.46/0.88 (assume @p145 (forall @t13 (exists @t11 @t10))) % 0.46/0.88 (assume @p146 (forall @t6 (exists @t101 @t124))) % 0.46/0.88 (assume @p147 (forall @t6 (=> @t48 @t230))) % 0.46/0.88 (assume @p148 (forall @t6 (=> @t232 (and (tptp.empty @t231) (tptp.relation @t231))))) % 0.46/0.88 (assume @p149 (forall @t6 (=> @t33 @t230))) % 0.46/0.88 (assume @p150 (forall @t13 (=> @t22 (and (tptp.empty @t194) @t216)))) % 0.46/0.88 (assume @p151 (forall @t6 (=> @t33 (tptp.finite @t183)))) % 0.46/0.88 (assume @p152 (and @t235 @t234 @t233)) % 0.46/0.88 (assume @p153 (forall @t6 (=> (and @t40 @t36 @t48) (tptp.finite @t96)))) % 0.46/0.88 (assume @p154 (forall @t6 (=> @t237 (and @t227 (tptp.relation_empty_yielding @t89))))) % 0.46/0.88 (assume @p155 (forall @t13 (and @t238 (tptp.finite @t131)))) % 0.46/0.88 (assume @p156 (forall @t13 (and @t239 (tptp.cup_closed @t24) (tptp.diff_closed @t24) (tptp.preboolean @t24)))) % 0.46/0.88 (assume @p157 (forall @t6 (=> (and @t40 @t36 @t79 @t114) (and @t217 (tptp.function @t203))))) % 0.46/0.88 (assume @p158 (forall @t13 @t240)) % 0.46/0.88 (assume @p159 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 0.46/0.88 (assume @p160 (forall @t6 (=> @t218 (tptp.relation @t64)))) % 0.46/0.88 (assume @p161 (forall @t13 (=> @t241 (not (tptp.empty @t57))))) % 0.46/0.88 (assume @p162 (forall @t13 @t239)) % 0.46/0.88 (assume @p163 @t235) % 0.46/0.88 (assume @p164 (forall @t6 (not (tptp.empty @t189)))) % 0.46/0.88 (assume @p165 (forall @t13 (=> (and @t32 @t46) (and @t240 @t244 @t243 @t242 (tptp.natural @t132))))) % 0.46/0.88 (assume @p166 (forall @t13 (and @t222 (tptp.function @t77)))) % 0.46/0.88 (assume @p167 (and @t234 @t233 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t235 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.46/0.88 (assume @p168 (forall @t6 (=> @t218 (tptp.relation @t55)))) % 0.46/0.88 (assume @p169 (forall @t13 @t238)) % 0.46/0.88 (assume @p170 (forall @t6 (=> @t149 (not (tptp.empty @t55))))) % 0.46/0.88 (assume @p171 (forall @t13 (=> @t50 (and @t216 (tptp.function @t194))))) % 0.46/0.88 (assume @p172 (forall @t13 (=> @t32 (and @t240 @t244 @t243 @t242)))) % 0.46/0.88 (assume @p173 (forall @t6 (=> @t218 (tptp.relation @t183)))) % 0.46/0.88 (assume @p174 (forall @t6 (not (tptp.empty @t53)))) % 0.46/0.88 (assume @p175 (forall @t6 (=> @t149 (not (tptp.empty @t54))))) % 0.46/0.88 (assume @p176 (forall @t6 (=> @t98 (and @t227 (tptp.function @t89))))) % 0.46/0.88 (assume @p177 (forall @t13 (=> @t32 (and (tptp.epsilon_transitive @t174) (tptp.epsilon_connected @t174) (tptp.ordinal @t174))))) % 0.46/0.88 (assume @p178 (and @t235 @t234)) % 0.46/0.88 (assume @p179 (forall @t6 (=> (and @t149 @t212) (not (tptp.empty @t43))))) % 0.46/0.88 (assume @p180 (forall @t6 (=> @t245 (and @t228 (tptp.function @t100))))) % 0.46/0.88 (assume @p181 (forall @t13 (=> @t247 (not @t246)))) % 0.46/0.88 (assume @p182 (and @t235 (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))) % 0.46/0.88 (assume @p183 (forall @t13 (=> @t247 (not @t248)))) % 0.46/0.88 (assume @p184 (forall @t13 (=> @t22 (and @t246 (tptp.relation @t92))))) % 0.46/0.88 (assume @p185 (forall @t13 (=> @t22 (and @t248 (tptp.relation @t185))))) % 0.46/0.88 (assume @p186 (forall @t6 (=> (and @t33 @t48) (tptp.finite @t55)))) % 0.46/0.88 (assume @p187 (forall @t6 (=> @t232 (and (tptp.empty @t203) @t217)))) % 0.46/0.88 (assume @p188 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.46/0.88 (assume @p189 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.46/0.88 (assume @p190 (forall @t6 (=> @t25 (= (tptp.subset_complement @t1 @t188) @t2)))) % 0.46/0.88 (assume @p191 (forall @t13 (=> @t40 (= (tptp.relation_inverse @t194) @t1)))) % 0.46/0.88 (assume @p192 (forall @t6 (=> @t207 (= (tptp.complements_of_subsets @t1 @t205) @t2)))) % 0.46/0.88 (assume @p193 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.46/0.88 (assume @p194 (forall @t13 (=> @t40 (= @t175 (forall @t11 (=> @t249 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 0.46/0.88 (assume @p195 (forall @t13 (not (= @t131 tptp.empty_set)))) % 0.46/0.88 (assume @p196 (forall @t6 (=> @t5 (= (tptp.set_union2 @t131 @t2) @t2)))) % 0.46/0.88 (assume @p197 (forall @t6 (not (and @t250 @t5)))) % 0.46/0.88 (assume @p198 (forall @t6 (=> @t251 @t250))) % 0.46/0.88 (assume @p199 (forall @t6 (=> @t79 (tptp.subset (tptp.relation_dom @t100) @t112)))) % 0.46/0.88 (assume @p200 (forall @t13 (=> @t40 (= @t109 (forall @t118 (=> (and @t117 @t147) @t115)))))) % 0.46/0.88 (assume @p201 (forall @t6 (= (tptp.subset @t131 @t2) @t5))) % 0.46/0.88 (assume @p202 (forall @t6 (=> @t79 (not (and @t252 (tptp.equipotent @t1 @t142) (forall @t101 (=> @t42 (not (tptp.well_orders @t41 @t1))))))))) % 0.46/0.88 (assume @p203 (forall @t6 (= (= @t183 tptp.empty_set) @t81))) % 0.46/0.88 (assume @p204 (forall @t6 (=> @t25 (forall @t101 (=> @t133 @t73))))) % 0.46/0.88 (assume @p205 (forall @t13 (=> @t40 (= @t103 (forall @t90 (=> (and @t117 @t253) @t128)))))) % 0.46/0.88 (assume @p206 (forall @t45 (=> @t81 (or @t73 (tptp.subset @t1 (tptp.set_difference @t2 @t254)))))) % 0.46/0.88 (assume @p207 (forall @t13 (=> @t40 (= @t108 (forall @t90 (not (and @t249 (tptp.in @t41 @t102) @t158 @t255 (not @t253)))))))) % 0.46/0.88 (assume @p208 (forall @t6 (= (tptp.subset @t1 @t256) (or @t121 (= @t1 @t256))))) % 0.46/0.88 (assume @p209 (forall @t6 (=> @t5 (tptp.subset @t1 @t257)))) % 0.46/0.88 (assume @p210 (forall @t111 (= (tptp.in @t189 (tptp.cartesian_product2 @t41 @t71)) (and @t258 (tptp.in @t2 @t71))))) % 0.46/0.88 (assume @p211 (forall @t6 (=> @t164 @t259))) % 0.46/0.88 (assume @p212 (forall @t45 (=> @t198 (= @t261 (and (tptp.in @t2 @t178) @t3))))) % 0.46/0.88 (assume @p213 (exists @t13 (and @t149 @t38 @t37 @t32 @t46))) % 0.46/0.88 (assume @p214 (exists @t13 (and @t149 @t33))) % 0.46/0.88 (assume @p215 (exists @t13 @t98)) % 0.46/0.88 (assume @p216 (forall @t6 (exists @t101 (and @t135 @t42 @t181 @t120)))) % 0.46/0.88 (assume @p217 (exists @t13 (and @t149 @t12 @t15 @t17 @t19 @t21))) % 0.46/0.88 (assume @p218 (exists @t13 @t52)) % 0.46/0.88 (assume @p219 (exists @t13 (and @t38 @t37 @t32 @t187))) % 0.46/0.88 (assume @p220 (exists @t13 (and @t40 @t36 @t49 @t22))) % 0.46/0.88 (assume @p221 (exists @t13 (and @t22 @t40))) % 0.46/0.88 (assume @p222 (forall @t13 (=> @t149 (exists @t11 (and @t25 @t212))))) % 0.46/0.88 (assume @p223 (exists @t13 @t22)) % 0.46/0.88 (assume @p224 (forall @t13 (exists @t11 (and @t25 @t148 @t79 @t114 @t262 @t31 @t30 @t29 @t20 @t48)))) % 0.46/0.88 (assume @p225 (exists @t13 @t51)) % 0.46/0.88 (assume @p226 (exists @t13 (and @t40 @t36 @t49 @t22 @t38 @t37 @t32))) % 0.46/0.88 (assume @p227 (forall @t6 (exists @t101 (and @t135 @t42 @t181)))) % 0.46/0.88 (assume @p228 (exists @t13 @t247)) % 0.46/0.88 (assume @p229 (forall @t13 (exists @t11 (and @t25 @t148)))) % 0.46/0.88 (assume @p230 (exists @t13 @t149)) % 0.46/0.88 (assume @p231 (forall @t13 (=> @t149 (exists @t11 (and @t25 @t212 @t48))))) % 0.46/0.88 (assume @p232 (exists @t13 @t50)) % 0.46/0.88 (assume @p233 (exists @t13 (and @t149 @t38 @t37 @t32))) % 0.46/0.88 (assume @p234 (exists @t13 @t237)) % 0.46/0.88 (assume @p235 (exists @t13 (and @t161 @t62))) % 0.46/0.88 (assume @p236 (exists @t13 (and @t40 @t236 @t36))) % 0.46/0.88 (assume @p237 (forall @t13 (=> @t241 (exists @t11 (and (tptp.element @t2 @t215) @t212))))) % 0.46/0.88 (assume @p238 (forall @t214 (=> @t213 (= @t210 (tptp.apply_binary @t71 @t83 @t152))))) % 0.46/0.88 (assume @p239 (forall @t45 (=> @t63 (= @t56 @t126)))) % 0.46/0.88 (assume @p240 (forall @t45 (=> @t68 (= @t65 @t145)))) % 0.46/0.88 (assume @p241 (forall @t45 (=> @t135 (= @t123 @t178)))) % 0.46/0.88 (assume @p242 (forall @t45 (=> @t135 (= @t220 @t177)))) % 0.46/0.88 (assume @p243 (forall @t6 (=> @t207 (= @t221 @t257)))) % 0.46/0.88 (assume @p244 (forall @t6 (=> @t207 (= @t223 (tptp.set_meet @t2))))) % 0.46/0.88 (assume @p245 (forall @t45 (=> @t226 (= @t224 @t263)))) % 0.46/0.88 (assume @p246 (forall @t45 (= @t124 @t135))) % 0.46/0.88 (assume @p247 (forall @t6 (=> @t70 (= @t69 @t81)))) % 0.46/0.88 (assume @p248 (forall @t6 (= @t182 (tptp.are_equipotent @t1 @t2)))) % 0.46/0.88 (assume @p249 (forall @t6 (=> @t70 (tptp.ordinal_subset @t1 @t1)))) % 0.46/0.88 (assume @p250 (forall @t6 (tptp.subset @t1 @t1))) % 0.46/0.88 (assume @p251 (forall @t6 (tptp.equipotent @t1 @t1))) % 0.46/0.88 (assume @p252 (forall @t6 (=> @t281 (=> @t280 (exists @t101 (and @t42 @t181 (forall @t88 (= @t87 (and @t138 @t138 (exists @t268 (and (= @t71 @t265) (tptp.in @t83 @t265) (forall @t267 (=> @t266 (tptp.in (tptp.ordered_pair @t83 @t264) @t2)))))))))))))) % 0.46/0.88 (assume @p253 (forall @t13 (=> @t284 (exists @t11 (and @t79 @t114 (forall @t76 (= @t75 (and @t73 @t73 (= @t71 @t254))))))))) % 0.46/0.88 (assume @p254 (forall @t13 (=> (exists @t11 (and @t29 @t3)) (exists @t11 (and @t29 @t3 (forall @t101 (=> @t285 (=> @t73 (tptp.ordinal_subset @t2 @t41))))))))) % 0.46/0.88 (assume @p255 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t13 (=> (tptp.element @t1 (tptp.powerset @t309)) (not (and @t139 (forall @t11 (not (and @t3 (forall @t101 (=> (and @t73 @t308) (= @t41 @t2))))))))))) (forall @t95 (=> @t292 (=> @t307 (=> (tptp.in @t306 tptp.omega) (forall @t274 (=> (tptp.element @t271 (tptp.powerset (tptp.powerset @t306))) (not (and (not (= @t271 tptp.empty_set)) (forall @t273 (not (and @t272 (forall @t268 (=> (and (tptp.in @t265 @t271) (tptp.subset @t270 @t265)) (= @t265 @t270)))))))))))))) (forall @t95 (=> @t292 (=> (and (tptp.being_limit_ordinal @t71) (forall @t267 (=> (tptp.ordinal @t264) (=> (tptp.in @t264 @t71) (=> (tptp.in @t264 tptp.omega) (forall @t305 (=> (tptp.element @t301 (tptp.powerset (tptp.powerset @t264))) (not (and (not (= @t301 tptp.empty_set)) (forall @t304 (not (and @t303 (forall @t302 (=> (and (tptp.in @t300 @t301) (tptp.subset @t299 @t300)) (= @t300 @t299))))))))))))))) (or (= @t71 tptp.empty_set) (=> @t291 (forall @t298 (=> (tptp.element @t295 @t289) (not (and (not (= @t295 tptp.empty_set)) (forall @t297 (not (and (tptp.in @t293 @t295) (forall @t296 (=> (and (tptp.in @t294 @t295) (tptp.subset @t293 @t294)) (= @t294 @t293)))))))))))))))) (forall @t95 (=> @t292 (=> @t291 (forall @t290 (=> (tptp.element @t288 @t289) (not (and (not (= @t288 tptp.empty_set)) (forall (@list @t286) (not (and (tptp.in @t286 @t288) (forall (@list @t287) (=> (and (tptp.in @t287 @t288) (tptp.subset @t286 @t287)) (= @t287 @t286))))))))))))))) % 0.46/0.88 (assume @p256 (forall @t45 (=> @t313 (exists @t95 (and @t312 (forall @t155 (= (tptp.in @t153 @t71) (and @t99 @t311 (tptp.in (tptp.ordered_pair @t195 @t310) @t2))))))))) % 0.46/0.88 (assume @p257 (forall @t6 (=> @t281 (=> @t280 (exists @t101 (forall @t95 (= @t94 (exists @t93 (and @t99 @t99 (exists @t268 (and (= @t83 @t265) @t315 @t314))))))))))) % 0.46/0.88 (assume @p258 (forall @t6 (=> @t281 (forall @t101 (=> (forall @t326 (=> (and @t269 (exists @t325 (and (= @t324 @t83) @t323 (exists @t273 (and (= @t276 @t270) (tptp.in @t271 @t270) (forall @t268 (=> @t322 (tptp.in (tptp.ordered_pair @t271 @t265) @t2))))))) @t321 (exists @t320 (and (= @t319 @t152) (tptp.in @t264 @t1) (exists @t304 (and (= @t264 @t299) (tptp.in @t301 @t299) (forall @t302 (=> (tptp.in @t300 @t299) (tptp.in (tptp.ordered_pair @t301 @t300) @t2)))))))) @t318)) (exists @t95 (forall @t93 (= @t110 (exists @t202 (and (tptp.in @t152 @t317) @t316 (exists (@list @t295 @t293) (and (= (tptp.ordered_pair @t295 @t293) @t83) (tptp.in @t295 @t1) (exists @t296 (and (= @t295 @t294) (tptp.in @t293 @t294) (forall @t290 (=> (tptp.in @t288 @t294) (tptp.in (tptp.ordered_pair @t293 @t288) @t2))))))))))))))))) % 0.46/0.88 (assume @p259 (forall @t13 (=> @t284 (exists @t11 (forall @t101 (= @t133 (exists @t95 (and @t138 @t138 (= @t41 (tptp.singleton @t71)))))))))) % 0.46/0.88 (assume @p260 (forall @t6 (=> (forall @t204 (=> (and @t72 (exists @t331 (and (= @t330 @t71) @t311 (= @t276 (tptp.singleton @t152)))) @t329 (exists (@list @t271 @t270) (and (= (tptp.ordered_pair @t271 @t270) @t83) @t328 (= @t270 (tptp.singleton @t271))))) @t269)) (exists @t101 (forall @t95 (= @t94 (exists @t93 (and (tptp.in @t83 @t43) @t327 (exists (@list @t265 @t264) (and (= (tptp.ordered_pair @t265 @t264) @t71) (tptp.in @t265 @t1) (= @t264 (tptp.singleton @t265)))))))))))) % 0.46/0.88 (assume @p261 (forall @t13 (=> @t32 (=> (forall @t118 (=> (and @t128 (exists @t93 (and @t334 @t329 (=> (tptp.in @t83 tptp.omega) (forall @t202 (=> (tptp.element @t152 (tptp.powerset (tptp.powerset @t83))) @t333))))) @t146 (exists @t273 (and (tptp.ordinal @t270) (= @t71 @t270) (=> (tptp.in @t270 tptp.omega) (forall @t268 (=> (tptp.element @t265 (tptp.powerset (tptp.powerset @t270))) (not (and (not (= @t265 tptp.empty_set)) (forall @t267 (not (and @t266 (forall @t305 (=> (and (tptp.in @t301 @t265) (tptp.subset @t264 @t301)) (= @t301 @t264)))))))))))))) @t72)) (exists @t11 (forall @t101 (= @t133 (exists @t95 (and (tptp.in @t71 @t132) @t332 (exists @t304 (and (tptp.ordinal @t299) (= @t41 @t299) (=> (tptp.in @t299 tptp.omega) (forall @t302 (=> (tptp.element @t300 (tptp.powerset (tptp.powerset @t299))) (not (and (not (= @t300 tptp.empty_set)) (forall @t298 (not (and (tptp.in @t295 @t300) (forall @t297 (=> (and (tptp.in @t293 @t300) (tptp.subset @t295 @t293)) (= @t293 @t295)))))))))))))))))))))) % 0.46/0.88 (assume @p262 (forall @t6 (=> @t335 (=> (forall @t204 (=> (and @t72 (exists @t202 (and @t154 (= @t71 (tptp.set_difference @t152 @t131)))) @t329 (exists @t278 (and (tptp.in @t276 @t2) (= @t83 (tptp.set_difference @t276 @t131))))) @t269)) (exists @t101 (forall @t95 (= @t94 (exists @t93 (and (tptp.in @t83 @t24) @t327 (exists @t274 (and (tptp.in @t271 @t2) (= @t71 (tptp.set_difference @t271 @t131))))))))))))) % 0.46/0.88 (assume @p263 (forall @t45 (=> @t313 (=> (forall @t326 (=> (and @t269 (exists @t325 (and (= @t83 @t324) (tptp.in (tptp.ordered_pair @t337 (tptp.apply @t41 @t271)) @t2))) @t321 (exists (@list @t270 @t265) (and (= @t152 (tptp.ordered_pair @t270 @t265)) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t270) (tptp.apply @t41 @t265)) @t2)))) @t318)) (exists @t95 (forall @t93 (= @t110 (exists @t202 (and (tptp.in @t152 @t336) @t316 (exists @t320 (and (= @t83 @t319) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t264) (tptp.apply @t41 @t301)) @t2)))))))))))) % 0.46/0.88 (assume @p264 (forall @t13 (=> (forall @t118 (=> (and @t128 @t285 @t146 @t292) @t72)) (exists @t11 (forall @t101 (= @t133 (exists @t95 (and @t138 @t332 @t285)))))))) % 0.46/0.88 (assume @p265 (forall @t45 (=> @t340 (=> (forall @t326 (=> (and @t269 @t338 @t321 (tptp.in (tptp.relation_image @t41 @t152) @t2)) @t318)) (exists @t95 (forall @t93 (= @t110 (exists @t202 (and (tptp.in @t152 @t339) @t316 @t338))))))))) % 0.46/0.88 (assume @p266 (forall @t6 (=> @t29 (=> (forall @t204 (=> (and @t72 (exists @t202 (and (tptp.ordinal @t152) @t321 @t311)) @t329 (exists @t278 (and (tptp.ordinal @t276) (= @t83 @t276) @t323))) @t269)) (exists @t101 (forall @t95 (= @t94 (exists @t93 (and (tptp.in @t83 @t341) @t327 (exists @t274 (and (tptp.ordinal @t271) (= @t71 @t271) @t328))))))))))) % 0.46/0.88 (assume @p267 (forall @t6 (=> @t281 (forall @t101 (exists @t95 (forall @t93 (= @t110 (and (tptp.in @t83 @t317) (exists @t331 (and (= @t330 @t83) @t311 (exists @t274 (and (= @t152 @t271) (tptp.in @t276 @t271) (forall @t273 (=> @t272 (tptp.in (tptp.ordered_pair @t276 @t270) @t2))))))))))))))) % 0.46/0.88 (assume @p268 (forall @t6 (exists @t101 (forall @t95 (= @t94 (and (tptp.in @t71 @t43) (exists @t155 (and (= @t153 @t71) @t99 (= @t152 (tptp.singleton @t83)))))))))) % 0.46/0.88 (assume @p269 (forall @t13 (=> @t32 (exists @t11 (forall @t101 (= @t133 (and (tptp.in @t41 @t132) (exists @t95 (and @t292 @t72 @t307))))))))) % 0.46/0.88 (assume @p270 (forall @t6 (=> @t335 (exists @t101 (forall @t95 (= @t94 (and (tptp.in @t71 @t24) (exists @t93 (and @t91 (= @t71 (tptp.set_difference @t83 @t131))))))))))) % 0.46/0.88 (assume @p271 (forall @t45 (=> @t313 (exists @t95 (forall @t93 (= @t110 (and (tptp.in @t83 @t336) (exists @t331 (and (= @t83 @t330) (tptp.in (tptp.ordered_pair @t310 @t337) @t2)))))))))) % 0.46/0.88 (assume @p272 (forall @t13 (exists @t11 (forall @t101 (= @t133 (and @t73 @t285)))))) % 0.46/0.88 (assume @p273 (forall @t45 (=> @t340 (exists @t95 (forall @t93 (= @t110 (and (tptp.in @t83 @t339) @t338))))))) % 0.46/0.88 (assume @p274 (forall @t6 (=> @t29 (exists @t101 (forall @t95 (= @t94 (and (tptp.in @t71 @t341) (exists @t93 (and @t334 @t269 @t99))))))))) % 0.46/0.88 (assume @p275 (forall @t6 (=> @t281 (=> (and (forall @t204 (=> (and @t73 @t279 @t275) @t269)) (forall @t101 (not (and @t73 (forall @t95 (not (exists @t268 (and (= @t41 @t265) @t315 @t314)))))))) (exists @t101 (and @t42 @t181 @t179 (forall @t95 (=> @t138 (exists @t305 (and (= @t71 @t301) (tptp.in @t196 @t301) (forall @t304 (=> @t303 (tptp.in (tptp.ordered_pair @t196 @t299) @t2))))))))))))) % 0.46/0.88 (assume @p276 (forall @t13 (=> (and (forall @t118 (=> (and @t3 @t283 @t282) @t72)) (forall @t11 (not (and @t3 (forall @t101 (not @t283)))))) @t344))) % 0.46/0.88 (assume @p277 (=> (forall @t13 (=> @t32 (=> (forall @t11 (=> @t29 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t101 (=> (tptp.element @t41 (tptp.powerset @t219)) (not (and @t165 (forall @t95 (not (and @t94 (forall @t93 (=> (and (tptp.in @t83 @t41) (tptp.subset @t71 @t83)) @t327))))))))))))) (=> @t345 (forall @t202 (=> (tptp.element @t152 @t206) @t333)))))) (forall @t13 (=> @t32 (=> @t345 (forall @t273 (=> (tptp.element @t270 @t206) (not (and (not (= @t270 tptp.empty_set)) (forall @t268 (not (and @t322 (forall @t267 (=> (and (tptp.in @t264 @t270) (tptp.subset @t265 @t264)) (= @t264 @t265))))))))))))))) % 0.46/0.88 (assume @p278 (forall @t13 @t344)) % 0.46/0.88 (assume @p279 (forall @t6 (=> @t199 (tptp.disjoint @t2 @t1)))) % 0.46/0.88 (assume @p280 (forall @t6 (=> @t182 (tptp.equipotent @t2 @t1)))) % 0.46/0.88 (assume @p281 (forall @t13 (tptp.in @t1 @t132))) % 0.46/0.88 (assume @p282 (forall @t111 (not (and (= @t53 (tptp.unordered_pair @t41 @t71)) (not @t346) (not (= @t1 @t71)))))) % 0.46/0.88 (assume @p283 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t41))) (and @t5 (tptp.in @t1 @t177)))))) % 0.46/0.88 (assume @p284 (forall @t6 (=> @t79 (tptp.subset @t347 @t1)))) % 0.46/0.88 (assume @p285 (forall @t6 (=> @t79 (tptp.subset @t100 @t2)))) % 0.46/0.88 (assume @p286 (forall @t6 (=> @t79 (tptp.subset @t347 @t113)))) % 0.46/0.88 (assume @p287 (forall @t45 (=> @t81 (and (tptp.subset @t317 (tptp.cartesian_product2 @t2 @t41)) (tptp.subset (tptp.cartesian_product2 @t41 @t1) (tptp.cartesian_product2 @t41 @t2)))))) % 0.46/0.88 (assume @p288 (forall @t6 (=> @t79 (= @t347 (tptp.set_intersection2 @t113 @t1))))) % 0.46/0.88 (assume @p289 (forall @t111 (=> (and @t81 @t141) (tptp.subset @t317 (tptp.cartesian_product2 @t2 @t71))))) % 0.46/0.88 (assume @p290 @t348) % 0.46/0.88 (assume @p291 (forall @t45 (=> @t124 (and (tptp.subset @t178 @t1) (tptp.subset @t177 @t2))))) % 0.46/0.88 (assume @p292 (forall @t6 (=> @t81 (= @t55 @t2)))) % 0.46/0.88 (assume @p293 (forall @t13 (exists @t11 (and @t5 @t351 (forall @t101 (=> @t133 (tptp.in @t350 @t2))) @t349)))) % 0.46/0.88 (assume @p294 (forall @t6 (=> (and @t81 @t48) @t33))) % 0.46/0.88 (assume @p295 (forall @t45 (=> @t42 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t41) @t2) (tptp.relation_rng_restriction @t1 @t352))))) % 0.46/0.88 (assume @p296 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_image @t41 @t2)) (exists @t95 (and (tptp.in @t71 @t178) (tptp.in (tptp.ordered_pair @t71 @t1) @t41) @t86)))))) % 0.46/0.88 (assume @p297 (forall @t6 (=> @t79 (tptp.subset @t353 @t113)))) % 0.46/0.88 (assume @p298 (forall @t6 (=> @t245 (tptp.subset @t355 @t1)))) % 0.46/0.88 (assume @p299 (forall @t6 (=> @t79 (= @t353 (tptp.relation_image @t2 @t356))))) % 0.46/0.88 (assume @p300 (forall @t6 (=> @t79 (=> (tptp.subset @t1 @t112) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t353)))))) % 0.46/0.88 (assume @p301 (forall @t13 (=> @t40 (= (tptp.relation_image @t1 @t92) @t185)))) % 0.46/0.88 (assume @p302 (forall @t6 (=> @t245 (=> @t357 (= @t355 @t1))))) % 0.46/0.88 (assume @p303 (forall @t111 (=> @t360 (=> (tptp.subset @t359 @t2) @t358)))) % 0.46/0.88 (assume @p304 (forall @t13 (=> @t40 (forall @t11 (=> @t79 (= @t361 (tptp.relation_image @t2 @t185))))))) % 0.46/0.88 (assume @p305 (forall @t45 (=> @t42 (= (tptp.in @t1 @t362) (exists @t95 (and (tptp.in @t71 @t177) (tptp.in (tptp.ordered_pair @t1 @t71) @t41) @t86)))))) % 0.46/0.88 (assume @p306 (forall @t6 (=> @t79 (tptp.subset @t354 @t112)))) % 0.46/0.88 (assume @p307 (forall @t111 (=> @t360 (=> @t81 @t358)))) % 0.46/0.88 (assume @p308 (forall @t45 (=> @t42 (= (tptp.in @t1 @t363) (and @t258 (tptp.in @t1 @t192)))))) % 0.46/0.88 (assume @p309 (forall @t6 (=> @t79 (not (and @t139 @t357 (= @t354 tptp.empty_set)))))) % 0.46/0.88 (assume @p310 (forall @t45 (=> @t42 (=> @t81 (tptp.subset (tptp.relation_inverse_image @t41 @t1) @t362))))) % 0.46/0.88 (assume @p311 (forall @t6 (=> @t245 (=> @t33 (tptp.finite @t353))))) % 0.46/0.88 (assume @p312 (forall @t6 (=> @t79 (= @t364 (tptp.relation_dom_restriction @t100 @t1))))) % 0.46/0.88 (assume @p313 (forall @t6 (tptp.subset @t64 @t1))) % 0.46/0.88 (assume @p314 (forall @t13 (=> @t33 (forall @t11 (=> @t207 (not (and @t150 (forall @t101 (not (and @t133 (forall @t95 (=> (and @t86 @t141) @t332)))))))))))) % 0.46/0.88 (assume @p315 (forall @t6 (=> @t79 (= @t364 (tptp.relation_rng_restriction @t1 @t365))))) % 0.46/0.88 (assume @p316 (forall @t45 (=> @t42 (=> (tptp.in @t1 (tptp.relation_field @t363)) (and @t367 @t5))))) % 0.46/0.88 (assume @p317 (forall @t45 (=> (and @t81 @t369) (tptp.subset @t1 @t368)))) % 0.46/0.88 (assume @p318 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.46/0.88 (assume @p319 (forall @t6 (=> @t5 @t370))) % 0.46/0.88 (assume @p320 (forall @t45 (=> (and @t81 @t308) @t369))) % 0.46/0.88 (assume @p321 (= @t309 (tptp.singleton tptp.empty_set))) % 0.46/0.88 (assume @p322 (forall @t45 (=> @t42 (=> @t372 (and @t371 (tptp.in @t2 @t177)))))) % 0.46/0.88 (assume @p323 (forall @t6 (=> @t79 (and (tptp.subset @t373 @t142) (tptp.subset @t373 @t1))))) % 0.46/0.88 (assume @p324 (forall @t6 (=> @t245 (forall @t101 (=> @t198 (= @t376 (and @t371 (tptp.in @t374 @t112)))))))) % 0.46/0.88 (assume @p325 (forall @t111 (=> @t378 (forall @t93 (=> (and (tptp.relation @t83) (tptp.function @t83)) (=> @t73 (or @t122 (= (tptp.apply (tptp.relation_composition @t71 @t83) @t41) (tptp.apply @t83 @t377))))))))) % 0.46/0.88 (assume @p326 (forall @t13 (=> @t38 (forall @t11 (=> @t29 (=> @t8 @t5)))))) % 0.46/0.88 (assume @p327 (forall @t13 (=> @t40 (tptp.subset @t1 (tptp.cartesian_product2 @t92 @t185))))) % 0.46/0.88 (assume @p328 (forall @t45 (=> @t42 (tptp.subset (tptp.fiber (tptp.relation_restriction @t41 @t1) @t2) (tptp.fiber @t41 @t2))))) % 0.46/0.88 (assume @p329 (forall @t6 (=> @t245 (forall @t101 (=> @t198 (=> @t376 (= (tptp.apply @t375 @t1) (tptp.apply @t2 @t374)))))))) % 0.46/0.88 (assume @p330 (forall @t45 (=> (tptp.relation_of2_as_subset @t41 @t2 @t1) (= (forall @t95 (not (and @t86 (forall @t93 (not @t87))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t41) @t2))))) % 0.46/0.88 (assume @p331 (forall @t6 (=> @t79 (=> @t379 (tptp.reflexive @t364))))) % 0.46/0.88 (assume @p332 (forall @t6 (=> @t245 (forall @t101 (=> @t198 (=> (tptp.in @t1 @t112) (= (tptp.apply (tptp.relation_composition @t2 @t41) @t1) (tptp.apply @t41 (tptp.apply @t2 @t1))))))))) % 0.46/0.88 (assume @p333 (forall @t13 (=> (and @t62 @t67 @t200 @t201) (forall @t11 (=> @t59 (forall @t101 (=> @t58 (tptp.below @t1 @t65 @t2)))))))) % 0.46/0.88 (assume @p334 (forall @t6 (=> @t29 (=> @t5 @t32)))) % 0.46/0.88 (assume @p335 (forall @t45 (=> @t124 (= (forall @t95 (not (and @t86 (forall @t93 (not (tptp.in @t107 @t41)))))) (= @t220 @t2))))) % 0.46/0.88 (assume @p336 (forall @t6 (=> @t79 (=> @t380 (tptp.connected @t364))))) % 0.46/0.88 (assume @p337 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (not (and @t251 @t208 @t4))))))) % 0.46/0.88 (assume @p338 (forall @t6 (=> @t79 (=> @t381 (tptp.transitive @t364))))) % 0.46/0.88 (assume @p339 (forall @t13 (=> @t40 (forall @t11 (=> @t79 (=> @t81 (and (tptp.subset @t92 @t112) (tptp.subset @t185 @t113)))))))) % 0.46/0.88 (assume @p340 (forall @t6 (=> @t79 (=> @t382 (tptp.antisymmetric @t364))))) % 0.46/0.88 (assume @p341 (forall @t6 (=> @t79 (=> @t385 (and @t384 @t383))))) % 0.46/0.88 (assume @p342 (forall @t13 (=> @t98 (=> (tptp.finite @t92) (tptp.finite @t185))))) % 0.46/0.88 (assume @p343 (forall @t13 (=> (and @t62 @t61 @t60) (forall @t11 (=> @t59 (forall @t101 (=> @t58 (=> (and @t156 (tptp.below @t1 @t41 @t2)) @t128)))))))) % 0.46/0.88 (assume @p344 (forall @t13 (exists @t11 (and @t79 @t385)))) % 0.46/0.88 (assume @p345 (forall @t45 (=> @t81 (tptp.subset (tptp.set_intersection2 @t1 @t41) @t368)))) % 0.46/0.88 (assume @p346 (forall @t13 (=> @t149 (not (and (forall @t11 (not (and @t3 @t122))) (forall @t11 (=> @t245 (not (and @t343 (forall @t101 (=> @t73 (tptp.in @t342 @t41)))))))))))) % 0.46/0.88 (assume @p347 (forall @t6 (=> @t81 (= @t64 @t1)))) % 0.46/0.88 (assume @p348 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.46/0.88 (assume @p349 (forall @t6 (=> @t370 (or @t148 @t5)))) % 0.46/0.88 (assume @p350 (forall @t6 (=> (forall @t101 (= @t73 @t133)) @t82))) % 0.46/0.88 (assume @p351 (forall @t13 (tptp.reflexive @t143))) % 0.46/0.88 (assume @p352 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 0.46/0.88 (assume @p353 (forall @t45 (=> @t42 (=> @t372 (and @t367 (tptp.in @t2 @t366)))))) % 0.46/0.88 (assume @p354 (forall @t13 (=> (forall @t11 (=> @t3 (and @t29 @t80))) @t32))) % 0.46/0.88 (assume @p355 (forall @t6 (=> @t79 (=> @t386 (tptp.well_founded_relation @t364))))) % 0.46/0.88 (assume @p356 (forall @t6 (=> @t29 (not (and @t81 @t139 (forall @t101 (=> @t285 (not (and @t73 (forall @t95 (=> @t292 (=> @t138 (tptp.ordinal_subset @t41 @t71))))))))))))) % 0.46/0.88 (assume @p357 (forall @t6 (=> @t79 (=> @t252 @t383)))) % 0.46/0.88 (assume @p358 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (= @t5 (tptp.ordinal_subset @t132 @t2))))))) % 0.46/0.88 (assume @p359 (forall @t45 (=> @t81 (tptp.subset (tptp.set_difference @t1 @t41) @t263)))) % 0.46/0.88 (assume @p360 (forall @t111 (=> (= @t189 @t74) (and @t346 @t146)))) % 0.46/0.88 (assume @p361 (forall @t6 (=> @t245 (= @t78 (and @t343 (forall @t101 (=> @t73 (= @t342 @t41)))))))) % 0.46/0.88 (assume @p362 (forall @t6 (=> @t3 (= (tptp.apply @t77 @t2) @t2)))) % 0.46/0.88 (assume @p363 (forall @t6 (tptp.subset @t183 @t1))) % 0.46/0.88 (assume @p364 (forall @t13 (=> @t40 (and (= @t185 (tptp.relation_dom @t194)) (= @t92 (tptp.relation_rng @t194)))))) % 0.46/0.88 (assume @p365 (forall @t45 (= (tptp.subset @t53 @t41) (and @t258 @t159)))) % 0.46/0.88 (assume @p366 (forall @t6 (=> @t79 (=> (and @t252 (tptp.subset @t1 @t142)) @t384)))) % 0.46/0.88 (assume @p367 (forall @t6 (= @t387 @t55))) % 0.46/0.88 (assume @p368 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.46/0.88 (assume @p369 (forall @t45 (not (and @t5 @t159 @t73)))) % 0.46/0.88 (assume @p370 (forall @t6 (= @t259 @t81))) % 0.46/0.88 (assume @p371 (forall @t13 (tptp.transitive @t143))) % 0.46/0.88 (assume @p372 (forall @t6 (and (not (and @t389 (forall @t101 (not @t388)))) (not (and (exists @t101 @t388) @t199))))) % 0.46/0.88 (assume @p373 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t121))) % 0.46/0.88 (assume @p374 (forall @t6 (= (tptp.set_difference @t55 @t2) @t183))) % 0.46/0.88 (assume @p375 (forall @t13 (=> @t32 (= @t187 (forall @t11 (=> @t29 (=> @t3 (tptp.in @t341 @t1)))))))) % 0.46/0.88 (assume @p376 (forall @t13 (=> @t32 (and (not (and (not @t187) (forall @t11 (=> @t29 (not @t390))))) (not (and (exists @t11 (and @t29 @t390)) @t187)))))) % 0.46/0.88 (assume @p377 (forall @t6 (=> @t25 (forall @t101 (=> @t225 (= @t392 (tptp.subset @t2 @t391))))))) % 0.46/0.88 (assume @p378 (forall @t13 (=> @t40 (forall @t11 (=> @t79 (tptp.subset @t393 @t92)))))) % 0.46/0.88 (assume @p379 (forall @t13 (=> @t40 (forall @t11 (=> @t79 (tptp.subset @t361 @t113)))))) % 0.46/0.88 (assume @p380 (forall @t6 (=> @t81 (= @t2 @t387)))) % 0.46/0.88 (assume @p381 (forall @t111 (=> @t378 (=> @t150 (forall @t93 (= (tptp.in @t83 (tptp.relation_inverse_image @t71 @t41)) (and @t99 (tptp.in (tptp.apply @t71 @t83) @t41)))))))) % 0.46/0.88 (assume @p382 (forall @t13 (=> @t40 (forall @t11 (=> @t79 (=> (tptp.subset @t185 @t112) (= @t393 @t92))))))) % 0.46/0.88 (assume @p383 (forall @t6 (=> @t207 (not (and @t150 (= @t205 tptp.empty_set)))))) % 0.46/0.88 (assume @p384 (forall @t13 (=> @t40 (forall @t11 (=> @t79 (=> (tptp.subset @t92 @t113) (= (tptp.relation_rng @t231) @t185))))))) % 0.46/0.88 (assume @p385 (forall @t6 (=> @t207 (=> @t150 (= (tptp.subset_difference @t1 @t173 @t221) (tptp.meet_of_subsets @t1 @t205)))))) % 0.46/0.88 (assume @p386 (forall @t6 (=> @t207 (=> @t150 (= (tptp.union_of_subsets @t1 @t205) (tptp.subset_difference @t1 @t173 @t223)))))) % 0.46/0.88 (assume @p387 (forall @t6 (= (tptp.set_difference @t1 @t183) @t64))) % 0.46/0.88 (assume @p388 (forall @t13 (=> @t40 (forall @t11 (=> @t79 (forall @t101 (=> @t198 (=> @t197 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t41)))))))))) % 0.46/0.88 (assume @p389 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.46/0.88 (assume @p390 (forall @t45 (=> (and @t5 @t394) (tptp.element @t1 @t41)))) % 0.46/0.88 (assume @p391 (forall @t13 (=> @t32 (tptp.connected @t143)))) % 0.46/0.88 (assume @p392 (forall @t6 (and (not (and @t389 (forall @t101 (not @t395)))) (not (and (exists @t101 @t395) @t199))))) % 0.46/0.88 (assume @p393 (forall @t13 (=> @t139 (forall @t11 (=> @t25 (forall @t101 (=> (tptp.element @t41 @t1) (=> @t157 (tptp.in @t41 @t188))))))))) % 0.46/0.88 (assume @p394 (forall @t13 (=> @t40 (forall @t11 (=> @t79 (forall @t101 (=> @t198 (=> @t197 (and (=> @t175 @t379) (=> @t109 @t381) (=> @t108 @t380) (=> @t103 @t382) (=> @t151 @t386)))))))))) % 0.46/0.88 (assume @p395 (forall @t13 (=> @t98 (=> @t49 (forall @t11 (=> @t245 (= (= @t2 @t209) (and (= @t112 @t185) (forall @t76 (and (=> @t396 @t184) (=> @t184 @t396))))))))))) % 0.46/0.88 (assume @p396 (forall @t45 (=> @t225 (not (and (tptp.in @t2 @t391) @t159))))) % 0.46/0.88 (assume @p397 (forall @t13 (=> @t40 (forall @t11 (=> @t79 (forall @t101 (=> @t198 (=> (and @t176 @t197) @t252)))))))) % 0.46/0.88 (assume @p398 (forall @t13 (=> @t98 (=> @t49 (and (= @t185 (tptp.relation_dom @t209)) (= @t92 (tptp.relation_rng @t209))))))) % 0.46/0.88 (assume @p399 (forall @t13 (=> @t40 (=> (forall @t90 @t255) @t121)))) % 0.46/0.88 (assume @p400 (forall @t6 (=> @t245 (=> (and @t262 (tptp.in @t1 @t113)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t397 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t397 @t2) @t1))))))) % 0.46/0.88 (assume @p401 (forall @t45 (not (and @t5 @t394 (tptp.empty @t41))))) % 0.46/0.88 (assume @p402 (forall @t13 (=> @t40 (= @t151 (tptp.is_well_founded_in @t1 @t102))))) % 0.46/0.88 (assume @p403 (forall @t13 (tptp.antisymmetric @t143))) % 0.46/0.88 (assume @p404 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.46/0.88 (assume @p405 (forall @t6 (not (and @t81 @t7)))) % 0.46/0.88 (assume @p406 (forall @t13 (=> @t98 (=> @t49 (tptp.one_to_one @t209))))) % 0.46/0.88 (assume @p407 (forall @t45 (=> (and @t81 @t392) (tptp.disjoint @t1 @t41)))) % 0.46/0.88 (assume @p408 (forall @t13 (=> @t40 (=> (or @t399 @t398) @t121)))) % 0.46/0.88 (assume @p409 (forall @t13 (=> @t40 (= @t399 @t398)))) % 0.46/0.88 (assume @p410 (forall @t6 (= (= (tptp.set_difference @t1 @t256) @t1) @t4))) % 0.46/0.88 (assume @p411 (forall @t6 (=> @t245 (forall @t101 (=> @t198 (= (= @t2 @t260) (and (= @t112 (tptp.set_intersection2 @t178 @t1)) (forall @t95 (=> (tptp.in @t71 @t112) (= (tptp.apply @t2 @t71) @t196)))))))))) % 0.46/0.88 (assume @p412 (forall @t13 (= (tptp.unordered_pair @t1 @t1) @t131))) % 0.46/0.88 (assume @p413 (forall @t13 (=> @t22 @t121))) % 0.46/0.88 (assume @p414 (forall @t111 (=> @t378 (=> @t73 (or @t122 (tptp.in @t377 @t359)))))) % 0.46/0.88 (assume @p415 (forall @t13 (=> @t32 (tptp.well_founded_relation @t143)))) % 0.46/0.88 (assume @p416 (forall @t6 (=> (tptp.subset @t131 @t256) @t82))) % 0.46/0.88 (assume @p417 (forall @t45 (=> @t198 (=> @t261 @t400)))) % 0.46/0.88 (assume @p418 (forall @t13 (and (= (tptp.relation_dom @t77) @t1) (= (tptp.relation_rng @t77) @t1)))) % 0.46/0.88 (assume @p419 (forall @t45 (=> @t198 (=> @t3 @t400)))) % 0.46/0.88 (assume @p420 (forall @t111 (=> @t312 (= (tptp.in @t189 (tptp.relation_composition (tptp.identity_relation @t41) @t71)) (and @t258 (tptp.in @t189 @t71)))))) % 0.46/0.88 (assume @p421 (forall @t6 (not (and @t5 @t148)))) % 0.46/0.88 (assume @p422 (forall @t6 (and (= (tptp.pair_first @t189) @t1) (= (tptp.pair_second @t189) @t2)))) % 0.46/0.88 (assume @p423 (forall @t6 (not (and @t5 (forall @t101 (not (and @t133 (forall @t95 (not (and @t86 @t94)))))))))) % 0.46/0.88 (assume @p424 (forall @t13 (=> @t32 (tptp.well_ordering @t143)))) % 0.46/0.88 (assume @p425 (forall @t6 (tptp.subset @t1 @t55))) % 0.46/0.88 (assume @p426 (forall @t6 (= @t199 (= @t183 @t1)))) % 0.46/0.88 (assume @p427 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_dom @t352)) (and @t5 @t371))))) % 0.46/0.88 (assume @p428 (forall @t6 (=> @t79 (tptp.subset @t365 @t2)))) % 0.46/0.88 (assume @p429 (forall @t6 (not (and @t22 @t208 @t148)))) % 0.46/0.88 (assume @p430 (forall @t45 (=> @t198 (= @t372 (and @t371 (= @t2 @t374)))))) % 0.46/0.88 (assume @p431 (forall @t13 (=> @t40 (= (tptp.well_orders @t1 @t102) @t176)))) % 0.46/0.88 (assume @p432 (forall @t45 (=> (and @t81 @t166) (tptp.subset (tptp.set_union2 @t1 @t41) @t2)))) % 0.46/0.88 (assume @p433 (forall @t45 (=> @t401 @t82))) % 0.46/0.88 (assume @p434 (forall @t6 (=> @t79 (= (tptp.relation_dom @t365) @t356)))) % 0.46/0.88 (assume @p435 (forall @t6 (=> @t79 (= @t365 (tptp.relation_composition @t77 @t2))))) % 0.46/0.88 (assume @p436 (forall @t6 (=> @t79 (tptp.subset (tptp.relation_rng @t365) @t113)))) % 0.46/0.88 (assume @p437 (forall @t13 (= (tptp.union @t24) @t1))) % 0.46/0.88 (assume @p438 (forall @t111 (=> @t378 (=> @t308 (or (and @t122 @t139) (and @t211 (tptp.quasi_total @t71 @t1 @t41) (tptp.relation_of2_as_subset @t71 @t1 @t41))))))) % 0.46/0.88 (assume @p439 (forall @t13 (exists @t11 (and @t5 @t351 (forall @t101 (not (and @t133 (forall @t95 (not (and @t86 (forall @t93 (=> (tptp.subset @t83 @t41) @t110)))))))) @t349)))) % 0.46/0.88 (assume @p440 (forall @t45 (=> @t401 @t128))) % 0.46/0.88 (step @p441 :rule bool-impl-elim :args (@t161 @t402)) % 0.46/0.88 (step @p442 :rule cong :premises (@p441) :args ((forall @t13 (=> @t161 @t402)))) % 0.46/0.88 (step @p443 :rule eq-symm :args (@t160 @t57)) % 0.46/0.88 (step @p444 :rule refl :args (@t161)) % 0.46/0.88 (step @p445 :rule cong :premises (@p444 @p443) :args (@t162)) % 0.46/0.88 (step @p446 :rule cong :premises (@p445) :args (@t163)) % 0.46/0.88 (step @p447 :rule trans :premises (@p446 @p442)) % 0.46/0.88 (step @p448 :rule eq_resolve :premises (@p76 @p447)) % 0.46/0.88 (step @p449 :rule cong :premises (@p447) :args (@t348)) % 0.46/0.88 (step @p450 :rule eq_resolve :premises (@p290 @p449)) % 0.46/0.88 (step @p451 false :rule chain_m_resolution :premises (@p450 @p448) :args (false (@list false) (@list (forall @t13 (or (not @t161) @t402))))) % 0.46/0.88 ) % 0.46/0.88 % SZS output end Proof % 0.46/0.88 % cvc5 exiting %------------------------------------------------------------------------------