%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU303+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:18 AM UTC 2026 % Result : Theorem 3.73s 3.95s % Output : Proof 3.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU303+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:54:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.37/0.60 %----Proving TF0_NAR, FOF, or CNF % 3.73/3.95 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.73/3.95 % SZS status Theorem % 3.73/3.95 % SZS output start Proof % 3.73/3.95 ( % 3.73/3.95 (declare-sort $$unsorted 0) % 3.73/3.95 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.function (-> $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.connected (-> $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.omega $$unsorted) % 3.73/3.95 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.relation (-> $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.transitive (-> $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.empty_set $$unsorted) % 3.73/3.95 (declare-const tptp.empty (-> $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.finite (-> $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.natural (-> $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 3.73/3.95 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 3.73/3.95 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 3.73/3.95 (define @t1 () (@var "A" $$unsorted)) % 3.73/3.95 (define @t2 () (@var "B" $$unsorted)) % 3.73/3.95 (define @t3 () (tptp.in @t2 @t1)) % 3.73/3.95 (define @t4 () (not @t3)) % 3.73/3.95 (define @t5 () (tptp.in @t1 @t2)) % 3.73/3.95 (define @t6 () (@list @t1 @t2)) % 3.73/3.95 (define @t7 () (tptp.proper_subset @t2 @t1)) % 3.73/3.95 (define @t8 () (tptp.proper_subset @t1 @t2)) % 3.73/3.95 (define @t9 () (tptp.ordinal @t2)) % 3.73/3.95 (define @t10 () (tptp.epsilon_connected @t2)) % 3.73/3.95 (define @t11 () (tptp.epsilon_transitive @t2)) % 3.73/3.95 (define @t12 () (tptp.element @t2 @t1)) % 3.73/3.95 (define @t13 () (@list @t2)) % 3.73/3.95 (define @t14 () (tptp.ordinal @t1)) % 3.73/3.95 (define @t15 () (@list @t1)) % 3.73/3.95 (define @t16 () (tptp.finite @t1)) % 3.73/3.95 (define @t17 () (tptp.empty @t1)) % 3.73/3.95 (define @t18 () (tptp.function @t1)) % 3.73/3.95 (define @t19 () (tptp.epsilon_connected @t1)) % 3.73/3.95 (define @t20 () (tptp.epsilon_transitive @t1)) % 3.73/3.95 (define @t21 () (and @t20 @t19)) % 3.73/3.95 (define @t22 () (tptp.relation @t1)) % 3.73/3.95 (define @t23 () (@var "C" $$unsorted)) % 3.73/3.95 (define @t24 () (tptp.relation @t23)) % 3.73/3.95 (define @t25 () (tptp.cartesian_product2 @t1 @t2)) % 3.73/3.95 (define @t26 () (tptp.element @t23 (tptp.powerset @t25))) % 3.73/3.95 (define @t27 () (@list @t1 @t2 @t23)) % 3.73/3.95 (define @t28 () (tptp.natural @t1)) % 3.73/3.95 (define @t29 () (and @t20 @t19 @t14 @t28)) % 3.73/3.95 (define @t30 () (tptp.finite @t2)) % 3.73/3.95 (define @t31 () (tptp.powerset @t1)) % 3.73/3.95 (define @t32 () (tptp.element @t2 @t31)) % 3.73/3.95 (define @t33 () (tptp.one_to_one @t1)) % 3.73/3.95 (define @t34 () (and @t22 @t18 @t33)) % 3.73/3.95 (define @t35 () (and @t22 @t17 @t18)) % 3.73/3.95 (define @t36 () (and @t20 @t19 @t14)) % 3.73/3.95 (define @t37 () (tptp.unordered_pair @t1 @t2)) % 3.73/3.95 (define @t38 () (tptp.set_union2 @t2 @t1)) % 3.73/3.95 (define @t39 () (tptp.set_union2 @t1 @t2)) % 3.73/3.95 (define @t40 () (tptp.set_intersection2 @t1 @t2)) % 3.73/3.95 (define @t41 () (tptp.ordinal_subset @t1 @t2)) % 3.73/3.95 (define @t42 () (and @t14 @t9)) % 3.73/3.95 (define @t43 () (@var "D" $$unsorted)) % 3.73/3.95 (define @t44 () (= @t23 @t43)) % 3.73/3.95 (define @t45 () (tptp.in @t23 @t1)) % 3.73/3.95 (define @t46 () (tptp.ordered_pair @t23 @t43)) % 3.73/3.95 (define @t47 () (tptp.in @t46 @t2)) % 3.73/3.95 (define @t48 () (@list @t23 @t43)) % 3.73/3.95 (define @t49 () (tptp.identity_relation @t1)) % 3.73/3.95 (define @t50 () (= @t2 @t49)) % 3.73/3.95 (define @t51 () (tptp.relation @t2)) % 3.73/3.95 (define @t52 () (tptp.subset @t2 @t1)) % 3.73/3.95 (define @t53 () (tptp.subset @t1 @t2)) % 3.73/3.95 (define @t54 () (= @t1 @t2)) % 3.73/3.95 (define @t55 () (@var "E" $$unsorted)) % 3.73/3.95 (define @t56 () (tptp.ordered_pair @t43 @t55)) % 3.73/3.95 (define @t57 () (tptp.in @t56 @t1)) % 3.73/3.95 (define @t58 () (tptp.in @t43 @t2)) % 3.73/3.95 (define @t59 () (tptp.in @t56 @t23)) % 3.73/3.95 (define @t60 () (@list @t43 @t55)) % 3.73/3.95 (define @t61 () (tptp.relation_dom_restriction @t1 @t2)) % 3.73/3.95 (define @t62 () (@list @t2 @t23)) % 3.73/3.95 (define @t63 () (tptp.in @t55 @t2)) % 3.73/3.95 (define @t64 () (tptp.relation_dom @t1)) % 3.73/3.95 (define @t65 () (@list @t55)) % 3.73/3.95 (define @t66 () (tptp.in @t43 @t23)) % 3.73/3.95 (define @t67 () (@list @t43)) % 3.73/3.95 (define @t68 () (tptp.relation_image @t1 @t2)) % 3.73/3.95 (define @t69 () (= @t23 @t68)) % 3.73/3.95 (define @t70 () (and @t22 @t18)) % 3.73/3.95 (define @t71 () (tptp.in @t55 @t1)) % 3.73/3.95 (define @t72 () (tptp.relation_rng_restriction @t1 @t2)) % 3.73/3.95 (define @t73 () (@list @t23)) % 3.73/3.95 (define @t74 () (tptp.relation_field @t1)) % 3.73/3.95 (define @t75 () (tptp.antisymmetric @t1)) % 3.73/3.95 (define @t76 () (tptp.apply @t1 @t43)) % 3.73/3.95 (define @t77 () (tptp.in @t43 @t64)) % 3.73/3.95 (define @t78 () (= @t23 (tptp.relation_inverse_image @t1 @t2))) % 3.73/3.95 (define @t79 () (tptp.ordered_pair @t55 @t43)) % 3.73/3.95 (define @t80 () (tptp.connected @t1)) % 3.73/3.95 (define @t81 () (tptp.transitive @t1)) % 3.73/3.95 (define @t82 () (tptp.in @t55 @t43)) % 3.73/3.95 (define @t83 () (@list @t1 @t2 @t23 @t43)) % 3.73/3.95 (define @t84 () (tptp.relation_dom @t2)) % 3.73/3.95 (define @t85 () (tptp.relation_rng @t2)) % 3.73/3.95 (define @t86 () (tptp.function @t2)) % 3.73/3.95 (define @t87 () (tptp.in (tptp.ordered_pair @t2 @t43) @t1)) % 3.73/3.95 (define @t88 () (tptp.ordered_pair @t2 @t23)) % 3.73/3.95 (define @t89 () (tptp.in @t88 @t1)) % 3.73/3.95 (define @t90 () (@list @t2 @t23 @t43)) % 3.73/3.95 (define @t91 () (= @t23 tptp.empty_set)) % 3.73/3.95 (define @t92 () (tptp.quasi_total @t23 @t1 @t2)) % 3.73/3.95 (define @t93 () (= @t1 tptp.empty_set)) % 3.73/3.95 (define @t94 () (= @t2 tptp.empty_set)) % 3.73/3.95 (define @t95 () (tptp.relation_dom_as_subset @t1 @t2 @t23)) % 3.73/3.95 (define @t96 () (tptp.relation_of2_as_subset @t23 @t1 @t2)) % 3.73/3.95 (define @t97 () (= @t2 @t23)) % 3.73/3.95 (define @t98 () (= @t1 @t46)) % 3.73/3.95 (define @t99 () (exists @t62 (= @t1 @t88))) % 3.73/3.95 (define @t100 () (tptp.singleton @t1)) % 3.73/3.95 (define @t101 () (tptp.succ @t1)) % 3.73/3.95 (define @t102 () (tptp.in @t23 @t2)) % 3.73/3.95 (define @t103 () (tptp.is_reflexive_in @t1 @t2)) % 3.73/3.95 (define @t104 () (tptp.relation_of2 @t23 @t1 @t2)) % 3.73/3.95 (define @t105 () (= @t2 (tptp.set_meet @t1))) % 3.73/3.95 (define @t106 () (tptp.in @t23 @t43)) % 3.73/3.95 (define @t107 () (tptp.in @t43 @t1)) % 3.73/3.95 (define @t108 () (not @t93)) % 3.73/3.95 (define @t109 () (= @t43 @t2)) % 3.73/3.95 (define @t110 () (tptp.subset @t23 @t43)) % 3.73/3.95 (define @t111 () (tptp.relation_field @t2)) % 3.73/3.95 (define @t112 () (tptp.inclusion_relation @t1)) % 3.73/3.95 (define @t113 () (= @t2 @t43)) % 3.73/3.95 (define @t114 () (tptp.in @t46 @t1)) % 3.73/3.95 (define @t115 () (tptp.empty @t2)) % 3.73/3.95 (define @t116 () (not @t17)) % 3.73/3.95 (define @t117 () (not @t94)) % 3.73/3.95 (define @t118 () (tptp.well_founded_relation @t1)) % 3.73/3.95 (define @t119 () (@var "F" $$unsorted)) % 3.73/3.95 (define @t120 () (tptp.ordered_pair @t55 @t119)) % 3.73/3.95 (define @t121 () (tptp.in @t119 @t2)) % 3.73/3.95 (define @t122 () (@list @t55 @t119)) % 3.73/3.95 (define @t123 () (not @t102)) % 3.73/3.95 (define @t124 () (not @t97)) % 3.73/3.95 (define @t125 () (tptp.in @t2 @t23)) % 3.73/3.95 (define @t126 () (forall @t73 (=> @t45 @t102))) % 3.73/3.95 (define @t127 () (not @t91)) % 3.73/3.95 (define @t128 () (tptp.subset @t23 @t2)) % 3.73/3.95 (define @t129 () (tptp.is_well_founded_in @t1 @t2)) % 3.73/3.95 (define @t130 () (tptp.apply @t1 @t2)) % 3.73/3.95 (define @t131 () (= @t23 @t130)) % 3.73/3.95 (define @t132 () (tptp.in @t2 @t64)) % 3.73/3.95 (define @t133 () (tptp.in (tptp.ordered_pair @t43 @t23) @t1)) % 3.73/3.95 (define @t134 () (tptp.is_antisymmetric_in @t1 @t2)) % 3.73/3.95 (define @t135 () (tptp.cast_to_subset @t1)) % 3.73/3.95 (define @t136 () (tptp.union @t1)) % 3.73/3.95 (define @t137 () (tptp.reflexive @t1)) % 3.73/3.95 (define @t138 () (tptp.well_ordering @t1)) % 3.73/3.95 (define @t139 () (tptp.relation_rng @t23)) % 3.73/3.95 (define @t140 () (tptp.relation_dom @t23)) % 3.73/3.95 (define @t141 () (= @t140 @t1)) % 3.73/3.95 (define @t142 () (tptp.one_to_one @t23)) % 3.73/3.95 (define @t143 () (tptp.function @t23)) % 3.73/3.95 (define @t144 () (tptp.equipotent @t1 @t2)) % 3.73/3.95 (define @t145 () (tptp.set_difference @t1 @t2)) % 3.73/3.95 (define @t146 () (and @t77 (= @t23 @t76))) % 3.73/3.95 (define @t147 () (tptp.relation_rng @t1)) % 3.73/3.95 (define @t148 () (= @t2 @t147)) % 3.73/3.95 (define @t149 () (tptp.being_limit_ordinal @t1)) % 3.73/3.95 (define @t150 () (tptp.subset_complement @t1 @t2)) % 3.73/3.95 (define @t151 () (tptp.ordered_pair @t1 @t2)) % 3.73/3.95 (define @t152 () (tptp.is_connected_in @t1 @t2)) % 3.73/3.95 (define @t153 () (tptp.is_transitive_in @t1 @t2)) % 3.73/3.95 (define @t154 () (tptp.cartesian_product2 @t2 @t2)) % 3.73/3.95 (define @t155 () (tptp.relation_restriction @t1 @t2)) % 3.73/3.95 (define @t156 () (tptp.relation_inverse @t1)) % 3.73/3.95 (define @t157 () (tptp.apply @t23 @t55)) % 3.73/3.95 (define @t158 () (tptp.apply @t23 @t43)) % 3.73/3.95 (define @t159 () (tptp.relation_isomorphism @t1 @t2 @t23)) % 3.73/3.95 (define @t160 () (and @t24 @t143)) % 3.73/3.95 (define @t161 () (tptp.disjoint @t1 @t2)) % 3.73/3.95 (define @t162 () (@list @t119)) % 3.73/3.95 (define @t163 () (tptp.relation_composition @t1 @t2)) % 3.73/3.95 (define @t164 () (@list @t23 @t43 @t55)) % 3.73/3.95 (define @t165 () (tptp.complements_of_subsets @t1 @t2)) % 3.73/3.95 (define @t166 () (tptp.powerset @t31)) % 3.73/3.95 (define @t167 () (tptp.element @t2 @t166)) % 3.73/3.95 (define @t168 () (not @t54)) % 3.73/3.95 (define @t169 () (tptp.function_inverse @t1)) % 3.73/3.95 (define @t170 () (tptp.relation @t156)) % 3.73/3.95 (define @t171 () (tptp.relation @t163)) % 3.73/3.95 (define @t172 () (and @t22 @t51)) % 3.73/3.95 (define @t173 () (tptp.powerset @t2)) % 3.73/3.95 (define @t174 () (tptp.relation_rng_as_subset @t1 @t2 @t23)) % 3.73/3.95 (define @t175 () (tptp.union_of_subsets @t1 @t2)) % 3.73/3.95 (define @t176 () (tptp.relation @t49)) % 3.73/3.95 (define @t177 () (tptp.meet_of_subsets @t1 @t2)) % 3.73/3.95 (define @t178 () (tptp.subset_difference @t1 @t2 @t23)) % 3.73/3.95 (define @t179 () (tptp.element @t23 @t31)) % 3.73/3.95 (define @t180 () (and @t32 @t179)) % 3.73/3.95 (define @t181 () (tptp.relation @t61)) % 3.73/3.95 (define @t182 () (tptp.relation @t72)) % 3.73/3.95 (define @t183 () (tptp.finite @t40)) % 3.73/3.95 (define @t184 () (tptp.relation_composition @t2 @t1)) % 3.73/3.95 (define @t185 () (and @t17 @t51)) % 3.73/3.95 (define @t186 () (tptp.relation_empty_yielding tptp.empty_set)) % 3.73/3.95 (define @t187 () (tptp.relation tptp.empty_set)) % 3.73/3.95 (define @t188 () (tptp.empty tptp.empty_set)) % 3.73/3.95 (define @t189 () (tptp.finite @t68)) % 3.73/3.95 (define @t190 () (and @t22 @t18 @t30)) % 3.73/3.95 (define @t191 () (forall @t6 (=> @t190 @t189))) % 3.73/3.95 (define @t192 () (tptp.relation_empty_yielding @t1)) % 3.73/3.95 (define @t193 () (and @t22 @t192)) % 3.73/3.95 (define @t194 () (not (tptp.empty @t100))) % 3.73/3.95 (define @t195 () (not (tptp.empty @t101))) % 3.73/3.95 (define @t196 () (tptp.ordinal @t101)) % 3.73/3.95 (define @t197 () (tptp.epsilon_connected @t101)) % 3.73/3.95 (define @t198 () (tptp.epsilon_transitive @t101)) % 3.73/3.95 (define @t199 () (not @t115)) % 3.73/3.95 (define @t200 () (and @t51 @t86)) % 3.73/3.95 (define @t201 () (tptp.empty @t64)) % 3.73/3.95 (define @t202 () (and @t116 @t22)) % 3.73/3.95 (define @t203 () (tptp.empty @t147)) % 3.73/3.95 (define @t204 () (tptp.in @t2 @t74)) % 3.73/3.95 (define @t205 () (tptp.disjoint @t100 @t2)) % 3.73/3.95 (define @t206 () (not @t5)) % 3.73/3.95 (define @t207 () (tptp.well_ordering @t2)) % 3.73/3.95 (define @t208 () (tptp.in (tptp.ordered_pair @t23 @t2) @t1)) % 3.73/3.95 (define @t209 () (tptp.singleton @t23)) % 3.73/3.95 (define @t210 () (not @t89)) % 3.73/3.95 (define @t211 () (tptp.singleton @t2)) % 3.73/3.95 (define @t212 () (tptp.union @t2)) % 3.73/3.95 (define @t213 () (tptp.in @t1 @t23)) % 3.73/3.95 (define @t214 () (tptp.element @t1 @t173)) % 3.73/3.95 (define @t215 () (tptp.relation_dom_restriction @t23 @t1)) % 3.73/3.95 (define @t216 () (tptp.in @t2 (tptp.relation_dom @t215))) % 3.73/3.95 (define @t217 () (tptp.one_to_one @t2)) % 3.73/3.95 (define @t218 () (tptp.set_difference @t2 @t23)) % 3.73/3.95 (define @t219 () (@var "K" $$unsorted)) % 3.73/3.95 (define @t220 () (@var "J" $$unsorted)) % 3.73/3.95 (define @t221 () (tptp.in @t219 @t220)) % 3.73/3.95 (define @t222 () (@list @t219)) % 3.73/3.95 (define @t223 () (@list @t220)) % 3.73/3.95 (define @t224 () (= @t43 @t55)) % 3.73/3.95 (define @t225 () (@var "I" $$unsorted)) % 3.73/3.95 (define @t226 () (@var "H" $$unsorted)) % 3.73/3.95 (define @t227 () (tptp.in @t225 @t226)) % 3.73/3.95 (define @t228 () (@list @t225)) % 3.73/3.95 (define @t229 () (@list @t226)) % 3.73/3.95 (define @t230 () (exists @t229 (and (= @t23 @t226) (tptp.in @t55 @t226) (forall @t228 (=> @t227 (tptp.in (tptp.ordered_pair @t55 @t225) @t2)))))) % 3.73/3.95 (define @t231 () (@var "G" $$unsorted)) % 3.73/3.95 (define @t232 () (tptp.in @t231 @t119)) % 3.73/3.95 (define @t233 () (@list @t231)) % 3.73/3.95 (define @t234 () (exists @t162 (and (= @t23 @t119) (tptp.in @t43 @t119) (forall @t233 (=> @t232 (tptp.in (tptp.ordered_pair @t43 @t231) @t2)))))) % 3.73/3.95 (define @t235 () (forall @t164 (=> (and @t45 @t234 @t45 @t230) @t224))) % 3.73/3.95 (define @t236 () (and @t116 @t51)) % 3.73/3.95 (define @t237 () (= @t43 @t211)) % 3.73/3.95 (define @t238 () (= @t23 @t211)) % 3.73/3.95 (define @t239 () (forall @t90 (=> (and @t3 @t238 @t3 @t237) @t44))) % 3.73/3.95 (define @t240 () (tptp.ordinal @t23)) % 3.73/3.95 (define @t241 () (@var "S" $$unsorted)) % 3.73/3.95 (define @t242 () (@var "T" $$unsorted)) % 3.73/3.95 (define @t243 () (@var "R" $$unsorted)) % 3.73/3.95 (define @t244 () (tptp.powerset (tptp.powerset @t43))) % 3.73/3.95 (define @t245 () (@list @t243)) % 3.73/3.95 (define @t246 () (tptp.in @t43 tptp.omega)) % 3.73/3.95 (define @t247 () (tptp.ordinal @t43)) % 3.73/3.95 (define @t248 () (@var "P" $$unsorted)) % 3.73/3.95 (define @t249 () (@var "Q" $$unsorted)) % 3.73/3.95 (define @t250 () (@var "O" $$unsorted)) % 3.73/3.95 (define @t251 () (@list @t249)) % 3.73/3.95 (define @t252 () (@list @t248)) % 3.73/3.95 (define @t253 () (@list @t250)) % 3.73/3.95 (define @t254 () (@var "M" $$unsorted)) % 3.73/3.95 (define @t255 () (@var "N" $$unsorted)) % 3.73/3.95 (define @t256 () (@var "L" $$unsorted)) % 3.73/3.95 (define @t257 () (@list @t255)) % 3.73/3.95 (define @t258 () (tptp.in @t254 @t256)) % 3.73/3.95 (define @t259 () (@list @t254)) % 3.73/3.95 (define @t260 () (@list @t256)) % 3.73/3.95 (define @t261 () (tptp.succ @t43)) % 3.73/3.95 (define @t262 () (=> @t246 (forall @t65 (=> (tptp.element @t55 @t244) (not (and (not (= @t55 tptp.empty_set)) (forall @t162 (not (and (tptp.in @t119 @t55) (forall @t233 (=> (and (tptp.in @t231 @t55) (tptp.subset @t119 @t231)) (= @t231 @t119)))))))))))) % 3.73/3.95 (define @t263 () (tptp.subset @t2 @t23)) % 3.73/3.95 (define @t264 () (tptp.powerset tptp.empty_set)) % 3.73/3.95 (define @t265 () (tptp.apply @t23 @t119)) % 3.73/3.95 (define @t266 () (tptp.in @t119 @t1)) % 3.73/3.95 (define @t267 () (tptp.relation @t43)) % 3.73/3.95 (define @t268 () (and @t51 @t24 @t143)) % 3.73/3.95 (define @t269 () (forall @t222 (=> @t221 (tptp.in (tptp.ordered_pair @t43 @t219) @t2)))) % 3.73/3.95 (define @t270 () (tptp.in @t43 @t220)) % 3.73/3.95 (define @t271 () (= @t119 @t55)) % 3.73/3.95 (define @t272 () (tptp.cartesian_product2 @t1 @t23)) % 3.73/3.95 (define @t273 () (= @t55 @t119)) % 3.73/3.95 (define @t274 () (tptp.ordered_pair @t219 @t256)) % 3.73/3.95 (define @t275 () (@list @t219 @t256)) % 3.73/3.95 (define @t276 () (= @t43 @t119)) % 3.73/3.95 (define @t277 () (tptp.in @t220 @t225)) % 3.73/3.95 (define @t278 () (tptp.in @t231 @t1)) % 3.73/3.95 (define @t279 () (tptp.ordered_pair @t231 @t226)) % 3.73/3.95 (define @t280 () (@list @t231 @t226)) % 3.73/3.95 (define @t281 () (@list @t43 @t55 @t119)) % 3.73/3.95 (define @t282 () (= @t55 @t43)) % 3.73/3.95 (define @t283 () (tptp.in @t226 @t1)) % 3.73/3.95 (define @t284 () (= @t23 @t55)) % 3.73/3.95 (define @t285 () (tptp.ordered_pair @t119 @t231)) % 3.73/3.95 (define @t286 () (@list @t119 @t231)) % 3.73/3.95 (define @t287 () (= @t43 @t23)) % 3.73/3.95 (define @t288 () (not (and (not (= @t119 tptp.empty_set)) (forall @t233 (not (and @t232 (forall @t229 (=> (and (tptp.in @t226 @t119) (tptp.subset @t231 @t226)) (= @t226 @t231))))))))) % 3.73/3.95 (define @t289 () (tptp.ordinal @t55)) % 3.73/3.95 (define @t290 () (and @t14 (tptp.element @t2 (tptp.powerset (tptp.powerset @t101))))) % 3.73/3.95 (define @t291 () (tptp.cartesian_product2 @t1 @t1)) % 3.73/3.95 (define @t292 () (tptp.apply @t23 @t231)) % 3.73/3.95 (define @t293 () (tptp.in (tptp.relation_image @t23 @t55) @t2)) % 3.73/3.95 (define @t294 () (tptp.powerset @t140)) % 3.73/3.95 (define @t295 () (and @t167 @t24 @t143)) % 3.73/3.95 (define @t296 () (tptp.succ @t2)) % 3.73/3.95 (define @t297 () (tptp.apply @t2 @t23)) % 3.73/3.95 (define @t298 () (= @t84 @t1)) % 3.73/3.95 (define @t299 () (exists @t13 (and @t51 @t86 @t298 (forall @t73 (=> @t45 (= @t297 @t209)))))) % 3.73/3.95 (define @t300 () (tptp.in @t1 tptp.omega)) % 3.73/3.95 (define @t301 () (= @t1 @t23)) % 3.73/3.95 (define @t302 () (tptp.relation_rng @t72)) % 3.73/3.95 (define @t303 () (forall @t73 (not (and @t128 (not (tptp.are_equipotent @t23 @t2)) @t123)))) % 3.73/3.95 (define @t304 () (tptp.powerset @t23)) % 3.73/3.95 (define @t305 () (forall @t48 (=> (and @t102 (tptp.subset @t43 @t23)) @t58))) % 3.73/3.95 (define @t306 () (tptp.relation_dom_restriction @t23 @t2)) % 3.73/3.95 (define @t307 () (tptp.relation_image @t2 @t1)) % 3.73/3.95 (define @t308 () (tptp.relation_inverse_image @t2 @t1)) % 3.73/3.95 (define @t309 () (tptp.relation_image @t2 @t308)) % 3.73/3.95 (define @t310 () (tptp.set_intersection2 @t84 @t1)) % 3.73/3.95 (define @t311 () (tptp.relation_image @t1 @t64)) % 3.73/3.95 (define @t312 () (=> @t22 (= @t311 @t147))) % 3.73/3.95 (define @t313 () (forall @t15 @t312)) % 3.73/3.95 (define @t314 () (tptp.subset @t1 @t85)) % 3.73/3.95 (define @t315 () (tptp.relation_of2_as_subset @t43 @t23 @t2)) % 3.73/3.95 (define @t316 () (tptp.relation_rng @t43)) % 3.73/3.95 (define @t317 () (tptp.relation_of2_as_subset @t43 @t23 @t1)) % 3.73/3.95 (define @t318 () (tptp.relation_rng @t163)) % 3.73/3.95 (define @t319 () (tptp.relation_inverse_image @t23 @t2)) % 3.73/3.95 (define @t320 () (tptp.relation_restriction @t23 @t2)) % 3.73/3.95 (define @t321 () (tptp.relation_restriction @t2 @t1)) % 3.73/3.95 (define @t322 () (tptp.relation_dom_restriction @t2 @t1)) % 3.73/3.95 (define @t323 () (tptp.relation_field @t23)) % 3.73/3.95 (define @t324 () (tptp.in @t1 @t323)) % 3.73/3.95 (define @t325 () (tptp.set_intersection2 @t2 @t23)) % 3.73/3.95 (define @t326 () (tptp.subset @t1 @t23)) % 3.73/3.95 (define @t327 () (tptp.element @t1 @t2)) % 3.73/3.95 (define @t328 () (tptp.in @t1 @t140)) % 3.73/3.95 (define @t329 () (tptp.in @t151 @t23)) % 3.73/3.95 (define @t330 () (tptp.relation_field @t321)) % 3.73/3.95 (define @t331 () (tptp.apply @t23 @t1)) % 3.73/3.95 (define @t332 () (tptp.relation_composition @t23 @t2)) % 3.73/3.95 (define @t333 () (tptp.in @t1 (tptp.relation_dom @t332))) % 3.73/3.95 (define @t334 () (tptp.apply @t43 @t23)) % 3.73/3.95 (define @t335 () (tptp.function @t43)) % 3.73/3.95 (define @t336 () (and @t335 (tptp.quasi_total @t43 @t1 @t2) (tptp.relation_of2_as_subset @t43 @t1 @t2))) % 3.73/3.95 (define @t337 () (tptp.reflexive @t2)) % 3.73/3.95 (define @t338 () (tptp.connected @t2)) % 3.73/3.95 (define @t339 () (tptp.transitive @t2)) % 3.73/3.95 (define @t340 () (tptp.antisymmetric @t2)) % 3.73/3.95 (define @t341 () (tptp.well_ordering @t321)) % 3.73/3.95 (define @t342 () (= @t330 @t1)) % 3.73/3.95 (define @t343 () (tptp.well_orders @t2 @t1)) % 3.73/3.95 (define @t344 () (tptp.finite @t147)) % 3.73/3.95 (define @t345 () (tptp.finite @t64)) % 3.73/3.95 (define @t346 () (=> @t345 @t344)) % 3.73/3.95 (define @t347 () (forall @t15 (=> @t70 @t346))) % 3.73/3.95 (define @t348 () (not @t347)) % 3.73/3.95 (define @t349 () (tptp.well_founded_relation @t2)) % 3.73/3.95 (define @t350 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 3.73/3.95 (define @t351 () (and @t45 @t102)) % 3.73/3.95 (define @t352 () (not @t161)) % 3.73/3.95 (define @t353 () (= @t1 @t296)) % 3.73/3.95 (define @t354 () (tptp.subset_complement @t1 @t23)) % 3.73/3.95 (define @t355 () (tptp.disjoint @t2 @t23)) % 3.73/3.95 (define @t356 () (tptp.relation_dom @t163)) % 3.73/3.95 (define @t357 () (tptp.element @t2 @t304)) % 3.73/3.95 (define @t358 () (tptp.in @t23 @t40)) % 3.73/3.95 (define @t359 () (and (tptp.in @t23 @t147) (= @t43 @t297))) % 3.73/3.95 (define @t360 () (tptp.function_inverse @t2)) % 3.73/3.95 (define @t361 () (= @t147 tptp.empty_set)) % 3.73/3.95 (define @t362 () (= @t64 tptp.empty_set)) % 3.73/3.95 (define @t363 () (= (tptp.apply @t215 @t2) (tptp.apply @t23 @t2))) % 3.73/3.95 (define @t364 () (= @t100 (tptp.unordered_pair @t2 @t23))) % 3.73/3.95 (define @t365 () (not @t30)) % 3.73/3.95 (define @t366 () (not @t18)) % 3.73/3.95 (define @t367 () (not @t22)) % 3.73/3.95 (define @t368 () (or @t367 @t366 @t365)) % 3.73/3.95 (define @t369 () (not @t345)) % 3.73/3.95 (define @t370 () (or @t367 @t366 @t369 @t344)) % 3.73/3.95 (define @t371 () (@quantifiers_skolemize (forall @t15 @t370) 0)) % 3.73/3.95 (define @t372 () (tptp.relation_dom @t371)) % 3.73/3.95 (define @t373 () (tptp.finite @t372)) % 3.73/3.95 (define @t374 () (tptp.relation_rng @t371)) % 3.73/3.95 (define @t375 () (tptp.finite @t374)) % 3.73/3.95 (define @t376 () (not @t373)) % 3.73/3.95 (define @t377 () (tptp.function @t371)) % 3.73/3.95 (define @t378 () (not @t377)) % 3.73/3.95 (define @t379 () (tptp.relation @t371)) % 3.73/3.95 (define @t380 () (not @t379)) % 3.73/3.95 (define @t381 () (or @t380 @t378 @t376 @t375)) % 3.73/3.95 (define @t382 () (@list true)) % 3.73/3.95 (define @t383 () (@list @t381)) % 3.73/3.95 (define @t384 () (tptp.relation_image @t371 @t372)) % 3.73/3.95 (define @t385 () (tptp.finite @t384)) % 3.73/3.95 (define @t386 () (or @t380 @t378 @t376 @t385)) % 3.73/3.95 (define @t387 () (= @t147 @t311)) % 3.73/3.95 (define @t388 () (= @t374 @t384)) % 3.73/3.95 (define @t389 () (or @t380 @t388)) % 3.73/3.95 (assume @p1 (forall @t6 (=> @t5 @t4))) % 3.73/3.95 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 3.73/3.95 (assume @p3 (forall @t15 (=> @t14 (forall @t13 (=> @t12 (and @t11 @t10 @t9)))))) % 3.73/3.95 (assume @p4 (forall @t15 (=> @t17 @t16))) % 3.73/3.95 (assume @p5 (forall @t15 (=> @t17 @t18))) % 3.73/3.95 (assume @p6 (forall @t15 (=> @t14 @t21))) % 3.73/3.95 (assume @p7 (forall @t15 (=> @t17 @t22))) % 3.73/3.95 (assume @p8 (forall @t27 (=> @t26 @t24))) % 3.73/3.95 (assume @p9 (forall @t15 (=> (and @t17 @t14) @t29))) % 3.73/3.95 (assume @p10 (forall @t15 (=> @t16 (forall @t13 (=> @t32 @t30))))) % 3.73/3.95 (assume @p11 (forall @t15 (=> @t35 @t34))) % 3.73/3.95 (assume @p12 (forall @t15 (=> @t21 @t14))) % 3.73/3.95 (assume @p13 (forall @t15 (=> (tptp.element @t1 tptp.omega) @t29))) % 3.73/3.95 (assume @p14 (forall @t15 (=> @t17 @t36))) % 3.73/3.95 (assume @p15 (forall @t6 (= @t37 (tptp.unordered_pair @t2 @t1)))) % 3.73/3.95 (assume @p16 (forall @t6 (= @t39 @t38))) % 3.73/3.95 (assume @p17 (forall @t6 (= @t40 (tptp.set_intersection2 @t2 @t1)))) % 3.73/3.95 (assume @p18 (forall @t6 (=> @t42 (or @t41 (tptp.ordinal_subset @t2 @t1))))) % 3.73/3.95 (assume @p19 (forall @t6 (=> @t51 (= @t50 (forall @t48 (= @t47 (and @t45 @t44))))))) % 3.73/3.95 (assume @p20 (forall @t6 (= @t54 (and @t53 @t52)))) % 3.73/3.95 (assume @p21 (forall @t15 (=> @t22 (forall @t62 (=> @t24 (= (= @t23 @t61) (forall @t60 (= @t59 (and @t58 @t57))))))))) % 3.73/3.95 (assume @p22 (forall @t15 (=> @t70 (forall @t62 (= @t69 (forall @t67 (= @t66 (exists @t65 (and (tptp.in @t55 @t64) @t63 (= @t43 (tptp.apply @t1 @t55))))))))))) % 3.73/3.95 (assume @p23 (forall @t6 (=> @t51 (forall @t73 (=> @t24 (= (= @t23 @t72) (forall @t60 (= @t59 (and @t71 (tptp.in @t56 @t2)))))))))) % 3.73/3.95 (assume @p24 (forall @t15 (=> @t22 (= @t75 (tptp.is_antisymmetric_in @t1 @t74))))) % 3.73/3.95 (assume @p25 (forall @t15 (=> @t70 (forall @t62 (= @t78 (forall @t67 (= @t66 (and @t77 (tptp.in @t76 @t2))))))))) % 3.73/3.95 (assume @p26 (forall @t15 (=> @t22 (forall @t62 (= @t69 (forall @t67 (= @t66 (exists @t65 (and (tptp.in @t79 @t1) @t63))))))))) % 3.73/3.95 (assume @p27 (forall @t15 (=> @t22 (forall @t62 (= @t78 (forall @t67 (= @t66 (exists @t65 (and @t57 @t63))))))))) % 3.73/3.95 (assume @p28 (forall @t15 (=> @t22 (= @t80 (tptp.is_connected_in @t1 @t74))))) % 3.73/3.95 (assume @p29 (forall @t15 (=> @t22 (= @t81 (tptp.is_transitive_in @t1 @t74))))) % 3.73/3.95 (assume @p30 (forall @t83 (= (= @t43 (tptp.unordered_triple @t1 @t2 @t23)) (forall @t65 (= @t82 (not (and (not (= @t55 @t1)) (not (= @t55 @t2)) (not (= @t55 @t23))))))))) % 3.73/3.95 (assume @p31 (forall @t15 (= @t16 (exists @t13 (and @t51 @t86 (= @t85 @t1) (tptp.in @t84 tptp.omega)))))) % 3.73/3.95 (assume @p32 (forall @t15 (= @t18 (forall @t90 (=> (and @t89 @t87) @t44))))) % 3.73/3.95 (assume @p33 (forall @t27 (=> @t96 (and (=> (=> @t94 @t93) (= @t92 (= @t1 @t95))) (=> @t94 (or @t93 (= @t92 @t91))))))) % 3.73/3.95 (assume @p34 (forall @t15 (=> @t99 (forall @t13 (= (= @t2 (tptp.pair_first @t1)) (forall @t48 (=> @t98 @t97))))))) % 3.73/3.95 (assume @p35 (forall @t15 (= @t101 (tptp.set_union2 @t1 @t100)))) % 3.73/3.95 (assume @p36 (forall @t15 (= @t22 (forall @t13 (not (and @t3 (forall @t48 (not (= @t2 @t46))))))))) % 3.73/3.95 (assume @p37 (forall @t15 (=> @t22 (forall @t13 (= @t103 (forall @t73 (=> @t102 (tptp.in (tptp.ordered_pair @t23 @t23) @t1)))))))) % 3.73/3.95 (assume @p38 (forall @t27 (= @t104 (tptp.subset @t23 @t25)))) % 3.73/3.95 (assume @p39 (forall @t6 (and (=> @t108 (= @t105 (forall @t73 (= @t102 (forall @t67 (=> @t107 @t106)))))) (=> @t93 (= @t105 @t94))))) % 3.73/3.95 (assume @p40 (forall @t6 (= (= @t2 @t100) (forall @t73 (= @t102 (= @t23 @t1)))))) % 3.73/3.95 (assume @p41 (forall @t15 (=> @t22 (forall @t62 (= (= @t23 (tptp.fiber @t1 @t2)) (forall @t67 (= @t66 (and (not @t109) (tptp.in (tptp.ordered_pair @t43 @t2) @t1))))))))) % 3.73/3.95 (assume @p42 (forall @t6 (=> @t51 (= (= @t2 @t112) (and (= @t111 @t1) (forall @t48 (=> (and @t45 @t107) (= @t47 @t110)))))))) % 3.73/3.95 (assume @p43 (forall @t15 (= @t93 (forall @t13 @t4)))) % 3.73/3.95 (assume @p44 (forall @t6 (= (= @t2 @t31) (forall @t73 (= @t102 (tptp.subset @t23 @t1)))))) % 3.73/3.95 (assume @p45 (forall @t15 (=> @t99 (forall @t13 (= (= @t2 (tptp.pair_second @t1)) (forall @t48 (=> @t98 @t113))))))) % 3.73/3.95 (assume @p46 (forall @t15 (= @t20 (forall @t13 (=> @t3 @t52))))) % 3.73/3.95 (assume @p47 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (= @t54 (forall @t48 (= @t114 @t47)))))))) % 3.73/3.95 (assume @p48 (forall @t6 (and (=> @t116 (= @t12 @t3)) (=> @t17 (= @t12 @t115))))) % 3.73/3.95 (assume @p49 (forall @t27 (= (= @t23 @t37) (forall @t67 (= @t66 (or (= @t43 @t1) @t109)))))) % 3.73/3.95 (assume @p50 (forall @t15 (=> @t22 (= @t118 (forall @t13 (not (and (tptp.subset @t2 @t74) @t117 (forall @t73 (not (and @t102 (tptp.disjoint (tptp.fiber @t1 @t23) @t2))))))))))) % 3.73/3.95 (assume @p51 (forall @t27 (= (= @t23 @t39) (forall @t67 (= @t66 (or @t107 @t58)))))) % 3.73/3.95 (assume @p52 (forall @t27 (= (= @t23 @t25) (forall @t67 (= @t66 (exists @t122 (and @t71 @t121 (= @t43 @t120)))))))) % 3.73/3.95 (assume @p53 (forall @t15 (= @t19 (forall @t62 (not (and @t3 @t45 (not @t125) @t124 @t123)))))) % 3.73/3.95 (assume @p54 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (= @t53 (forall @t48 (=> @t114 @t47)))))))) % 3.73/3.95 (assume @p55 (forall @t6 (= @t53 @t126))) % 3.73/3.95 (assume @p56 (forall @t15 (=> @t22 (forall @t13 (= @t129 (forall @t73 (not (and @t128 @t127 (forall @t67 (not (and @t66 (tptp.disjoint (tptp.fiber @t1 @t43) @t23)))))))))))) % 3.73/3.95 (assume @p57 (forall @t27 (= (= @t23 @t40) (forall @t67 (= @t66 (and @t107 @t58)))))) % 3.73/3.95 (assume @p58 (forall @t15 (=> @t70 (forall @t62 (and (=> @t132 (= @t131 @t89)) (=> (not @t132) (= @t131 @t91))))))) % 3.73/3.95 (assume @p59 (forall @t15 (= @t14 @t21))) % 3.73/3.95 (assume @p60 (forall @t15 (=> @t22 (forall @t13 (= (= @t2 @t64) (forall @t73 (= @t102 (exists @t67 @t114)))))))) % 3.73/3.95 (assume @p61 (forall @t15 (=> @t22 (forall @t13 (= @t134 (forall @t48 (=> (and @t102 @t58 @t114 @t133) @t44))))))) % 3.73/3.95 (assume @p62 (forall @t15 (= @t135 @t1))) % 3.73/3.95 (assume @p63 (forall @t6 (= (= @t2 @t136) (forall @t73 (= @t102 (exists @t67 (and @t106 @t107))))))) % 3.73/3.95 (assume @p64 (forall @t15 (=> @t22 (= @t138 (and @t137 @t81 @t75 @t80 @t118))))) % 3.73/3.95 (assume @p65 (forall @t6 (= @t144 (exists @t73 (and @t24 @t143 @t142 @t141 (= @t139 @t2)))))) % 3.73/3.95 (assume @p66 (forall @t27 (= (= @t23 @t145) (forall @t67 (= @t66 (and @t107 (not @t58))))))) % 3.73/3.95 (assume @p67 (forall @t15 (=> @t70 (forall @t13 (= @t148 (forall @t73 (= @t102 (exists @t67 @t146)))))))) % 3.73/3.95 (assume @p68 (forall @t15 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t149 @t14 (forall @t13 (=> @t9 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t53))))))) % 3.73/3.95 (assume @p69 (forall @t15 (=> @t22 (forall @t13 (= @t148 (forall @t73 (= @t102 (exists @t67 @t133)))))))) % 3.73/3.95 (assume @p70 (forall @t6 (=> @t32 (= @t150 @t145)))) % 3.73/3.95 (assume @p71 (forall @t6 (= @t151 (tptp.unordered_pair @t37 @t100)))) % 3.73/3.95 (assume @p72 (forall @t15 (=> @t22 (forall @t13 (= (tptp.well_orders @t1 @t2) (and @t103 @t153 @t134 @t152 @t129)))))) % 3.73/3.95 (assume @p73 (forall @t15 (= @t149 (= @t1 @t136)))) % 3.73/3.95 (assume @p74 (forall @t15 (=> @t22 (= @t74 (tptp.set_union2 @t64 @t147))))) % 3.73/3.95 (assume @p75 (forall @t15 (=> @t22 (forall @t13 (= @t152 (forall @t48 (not (and @t102 @t58 (not @t44) (not @t114) (not @t133))))))))) % 3.73/3.95 (assume @p76 (forall @t15 (=> @t22 (forall @t13 (= @t155 (tptp.set_intersection2 @t1 @t154)))))) % 3.73/3.95 (assume @p77 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (= (= @t2 @t156) (forall @t48 (= @t47 @t133)))))))) % 3.73/3.95 (assume @p78 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (forall @t73 (=> @t160 (= @t159 (and (= @t140 @t74) (= @t139 @t111) @t142 (forall @t60 (= @t57 (and (tptp.in @t43 @t74) (tptp.in @t55 @t74) (tptp.in (tptp.ordered_pair @t158 @t157) @t2))))))))))))) % 3.73/3.95 (assume @p79 (forall @t6 (= @t161 (= @t40 tptp.empty_set)))) % 3.73/3.95 (assume @p80 (forall @t15 (=> @t70 (= @t33 (forall @t62 (=> (and @t132 (tptp.in @t23 @t64) (= @t130 (tptp.apply @t1 @t23))) @t97)))))) % 3.73/3.95 (assume @p81 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (forall @t73 (=> @t24 (= (= @t23 @t163) (forall @t60 (= @t59 (exists @t162 (and (tptp.in (tptp.ordered_pair @t43 @t119) @t1) (tptp.in (tptp.ordered_pair @t119 @t55) @t2))))))))))))) % 3.73/3.95 (assume @p82 (forall @t15 (=> @t22 (forall @t13 (= @t153 (forall @t164 (=> (and @t102 @t58 @t63 @t114 @t57) (tptp.in (tptp.ordered_pair @t23 @t55) @t1)))))))) % 3.73/3.95 (assume @p83 (forall @t6 (=> @t167 (forall @t73 (=> (tptp.element @t23 @t166) (= (= @t23 @t165) (forall @t67 (=> (tptp.element @t43 @t31) (= @t66 (tptp.in (tptp.subset_complement @t1 @t43) @t2)))))))))) % 3.73/3.95 (assume @p84 (forall @t6 (= @t8 (and @t53 @t168)))) % 3.73/3.95 (assume @p85 (forall @t15 (=> @t70 (=> @t33 (= @t169 @t156))))) % 3.73/3.95 (assume @p86 (forall @t15 (=> @t22 (= @t137 (tptp.is_reflexive_in @t1 @t74))))) % 3.73/3.95 (assume @p87 true) % 3.73/3.95 (assume @p88 (forall @t15 (tptp.relation @t112))) % 3.73/3.95 (assume @p89 (forall @t15 (=> @t70 (and (tptp.relation @t169) (tptp.function @t169))))) % 3.73/3.95 (assume @p90 (forall @t15 (tptp.element @t135 @t31))) % 3.73/3.95 (assume @p91 (forall @t6 (=> @t22 (tptp.relation @t155)))) % 3.73/3.95 (assume @p92 (forall @t6 (=> @t32 (tptp.element @t150 @t31)))) % 3.73/3.95 (assume @p93 (forall @t15 (=> @t22 @t170))) % 3.73/3.95 (assume @p94 (forall @t27 (=> @t104 (tptp.element @t95 @t31)))) % 3.73/3.95 (assume @p95 (forall @t6 (=> @t172 @t171))) % 3.73/3.95 (assume @p96 (forall @t27 (=> @t104 (tptp.element @t174 @t173)))) % 3.73/3.95 (assume @p97 (forall @t6 (=> @t167 (tptp.element @t175 @t31)))) % 3.73/3.95 (assume @p98 (forall @t15 @t176)) % 3.73/3.95 (assume @p99 (forall @t6 (=> @t167 (tptp.element @t177 @t31)))) % 3.73/3.95 (assume @p100 (forall @t27 (=> @t180 (tptp.element @t178 @t31)))) % 3.73/3.95 (assume @p101 (forall @t6 (=> @t22 @t181))) % 3.73/3.95 (assume @p102 (forall @t6 (=> @t167 (tptp.element @t165 @t166)))) % 3.73/3.95 (assume @p103 (forall @t6 (=> @t51 @t182))) % 3.73/3.95 (assume @p104 (forall @t27 (=> @t96 @t26))) % 3.73/3.95 (assume @p105 (forall @t6 (exists @t73 @t104))) % 3.73/3.95 (assume @p106 (forall @t15 (exists @t13 @t12))) % 3.73/3.95 (assume @p107 (forall @t6 (exists @t73 @t96))) % 3.73/3.95 (assume @p108 (forall @t6 (=> @t30 @t183))) % 3.73/3.95 (assume @p109 (forall @t6 (=> @t185 (and (tptp.empty @t184) (tptp.relation @t184))))) % 3.73/3.95 (assume @p110 (forall @t6 (=> @t16 @t183))) % 3.73/3.95 (assume @p111 (forall @t15 (=> @t17 (and (tptp.empty @t156) @t170)))) % 3.73/3.95 (assume @p112 (forall @t6 (=> @t16 (tptp.finite @t145)))) % 3.73/3.95 (assume @p113 (and @t188 @t187 @t186)) % 3.73/3.95 (assume @p114 @t191) % 3.73/3.95 (assume @p115 (forall @t6 (=> @t193 (and @t181 (tptp.relation_empty_yielding @t61))))) % 3.73/3.95 (assume @p116 (forall @t15 (and @t194 (tptp.finite @t100)))) % 3.73/3.95 (assume @p117 (forall @t6 (=> (and @t22 @t18 @t51 @t86) (and @t171 (tptp.function @t163))))) % 3.73/3.95 (assume @p118 (forall @t15 @t195)) % 3.73/3.95 (assume @p119 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 3.73/3.95 (assume @p120 (forall @t6 (=> @t172 (tptp.relation @t40)))) % 3.73/3.95 (assume @p121 (forall @t15 (not (tptp.empty @t31)))) % 3.73/3.95 (assume @p122 @t188) % 3.73/3.95 (assume @p123 (forall @t6 (not (tptp.empty @t151)))) % 3.73/3.95 (assume @p124 (forall @t15 (=> (and @t14 @t28) (and @t195 @t198 @t197 @t196 (tptp.natural @t101))))) % 3.73/3.95 (assume @p125 (forall @t15 (and @t176 (tptp.function @t49)))) % 3.73/3.95 (assume @p126 (and @t187 @t186 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t188 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 3.73/3.95 (assume @p127 (forall @t6 (=> @t172 (tptp.relation @t39)))) % 3.73/3.95 (assume @p128 (forall @t15 @t194)) % 3.73/3.95 (assume @p129 (forall @t6 (=> @t116 (not (tptp.empty @t39))))) % 3.73/3.95 (assume @p130 (forall @t15 (=> @t34 (and @t170 (tptp.function @t156))))) % 3.73/3.95 (assume @p131 (forall @t15 (=> @t14 (and @t195 @t198 @t197 @t196)))) % 3.73/3.95 (assume @p132 (forall @t6 (=> @t172 (tptp.relation @t145)))) % 3.73/3.95 (assume @p133 (forall @t6 (not (tptp.empty @t37)))) % 3.73/3.95 (assume @p134 (forall @t6 (=> @t116 (not (tptp.empty @t38))))) % 3.73/3.95 (assume @p135 (forall @t6 (=> @t70 (and @t181 (tptp.function @t61))))) % 3.73/3.95 (assume @p136 (forall @t15 (=> @t14 (and (tptp.epsilon_transitive @t136) (tptp.epsilon_connected @t136) (tptp.ordinal @t136))))) % 3.73/3.95 (assume @p137 (and @t188 @t187)) % 3.73/3.95 (assume @p138 (forall @t6 (=> (and @t116 @t199) (not (tptp.empty @t25))))) % 3.73/3.95 (assume @p139 (forall @t6 (=> @t200 (and @t182 (tptp.function @t72))))) % 3.73/3.95 (assume @p140 (forall @t15 (=> @t202 (not @t201)))) % 3.73/3.95 (assume @p141 (forall @t15 (=> @t202 (not @t203)))) % 3.73/3.95 (assume @p142 (forall @t15 (=> @t17 (and @t201 (tptp.relation @t64))))) % 3.73/3.95 (assume @p143 (forall @t15 (=> @t17 (and @t203 (tptp.relation @t147))))) % 3.73/3.95 (assume @p144 (forall @t6 (=> (and @t16 @t30) (tptp.finite @t39)))) % 3.73/3.95 (assume @p145 (forall @t6 (=> @t185 (and (tptp.empty @t163) @t171)))) % 3.73/3.95 (assume @p146 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 3.73/3.95 (assume @p147 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 3.73/3.95 (assume @p148 (forall @t6 (=> @t32 (= (tptp.subset_complement @t1 @t150) @t2)))) % 3.73/3.95 (assume @p149 (forall @t15 (=> @t22 (= (tptp.relation_inverse @t156) @t1)))) % 3.73/3.95 (assume @p150 (forall @t6 (=> @t167 (= (tptp.complements_of_subsets @t1 @t165) @t2)))) % 3.73/3.95 (assume @p151 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 3.73/3.95 (assume @p152 (forall @t15 (=> @t22 (= @t137 (forall @t13 (=> @t204 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 3.73/3.95 (assume @p153 (forall @t15 (not (= @t100 tptp.empty_set)))) % 3.73/3.95 (assume @p154 (forall @t6 (=> @t5 (= (tptp.set_union2 @t100 @t2) @t2)))) % 3.73/3.95 (assume @p155 (forall @t6 (not (and @t205 @t5)))) % 3.73/3.95 (assume @p156 (forall @t6 (=> @t206 @t205))) % 3.73/3.95 (assume @p157 (forall @t6 (=> @t51 (tptp.subset (tptp.relation_dom @t72) @t84)))) % 3.73/3.95 (assume @p158 (forall @t15 (=> @t22 (= @t81 (forall @t90 (=> (and @t89 @t114) @t87)))))) % 3.73/3.95 (assume @p159 (forall @t6 (= (tptp.subset @t100 @t2) @t5))) % 3.73/3.95 (assume @p160 (forall @t6 (=> @t51 (not (and @t207 (tptp.equipotent @t1 @t111) (forall @t73 (=> @t24 (not (tptp.well_orders @t23 @t1))))))))) % 3.73/3.95 (assume @p161 (forall @t6 (= (= @t145 tptp.empty_set) @t53))) % 3.73/3.95 (assume @p162 (forall @t6 (=> @t32 (forall @t73 (=> @t102 @t45))))) % 3.73/3.95 (assume @p163 (forall @t15 (=> @t22 (= @t75 (forall @t62 (=> (and @t89 @t208) @t97)))))) % 3.73/3.95 (assume @p164 (forall @t27 (=> @t53 (or @t45 (tptp.subset @t1 (tptp.set_difference @t2 @t209)))))) % 3.73/3.95 (assume @p165 (forall @t15 (=> @t22 (= @t80 (forall @t62 (not (and @t204 (tptp.in @t23 @t74) @t124 @t210 (not @t208)))))))) % 3.73/3.95 (assume @p166 (forall @t6 (= (tptp.subset @t1 @t211) (or @t93 (= @t1 @t211))))) % 3.73/3.95 (assume @p167 (forall @t6 (=> @t5 (tptp.subset @t1 @t212)))) % 3.73/3.95 (assume @p168 (forall @t83 (= (tptp.in @t151 (tptp.cartesian_product2 @t23 @t43)) (and @t213 (tptp.in @t2 @t43))))) % 3.73/3.95 (assume @p169 (forall @t6 (=> @t126 @t214))) % 3.73/3.95 (assume @p170 (forall @t27 (=> @t160 (= @t216 (and (tptp.in @t2 @t140) @t3))))) % 3.73/3.95 (assume @p171 (exists @t15 (and @t116 @t20 @t19 @t14 @t28))) % 3.73/3.95 (assume @p172 (exists @t15 (and @t116 @t16))) % 3.73/3.95 (assume @p173 (exists @t15 @t70)) % 3.73/3.95 (assume @p174 (forall @t6 (exists @t73 (and @t104 @t24 @t143 @t92)))) % 3.73/3.95 (assume @p175 (exists @t15 @t36)) % 3.73/3.95 (assume @p176 (exists @t15 (and @t20 @t19 @t14 @t149))) % 3.73/3.95 (assume @p177 (exists @t15 (and @t22 @t18 @t33 @t17))) % 3.73/3.95 (assume @p178 (exists @t15 (and @t17 @t22))) % 3.73/3.95 (assume @p179 (forall @t15 (=> @t116 (exists @t13 (and @t32 @t199))))) % 3.73/3.95 (assume @p180 (exists @t15 @t17)) % 3.73/3.95 (assume @p181 (forall @t15 (exists @t13 (and @t32 @t115 @t51 @t86 @t217 @t11 @t10 @t9 (tptp.natural @t2) @t30)))) % 3.73/3.95 (assume @p182 (exists @t15 @t35)) % 3.73/3.95 (assume @p183 (exists @t15 (and @t22 @t18 @t33 @t17 @t20 @t19 @t14))) % 3.73/3.95 (assume @p184 (forall @t6 (exists @t73 (and @t104 @t24 @t143)))) % 3.73/3.95 (assume @p185 (exists @t15 @t202)) % 3.73/3.95 (assume @p186 (forall @t15 (exists @t13 (and @t32 @t115)))) % 3.73/3.95 (assume @p187 (exists @t15 @t116)) % 3.73/3.95 (assume @p188 (forall @t15 (=> @t116 (exists @t13 (and @t32 @t199 @t30))))) % 3.73/3.95 (assume @p189 (exists @t15 @t34)) % 3.73/3.95 (assume @p190 (exists @t15 (and @t116 @t20 @t19 @t14))) % 3.73/3.95 (assume @p191 (exists @t15 @t193)) % 3.73/3.95 (assume @p192 (exists @t15 (and @t22 @t192 @t18))) % 3.73/3.95 (assume @p193 (forall @t27 (=> @t104 (= @t95 @t140)))) % 3.73/3.95 (assume @p194 (forall @t27 (=> @t104 (= @t174 @t139)))) % 3.73/3.95 (assume @p195 (forall @t6 (=> @t167 (= @t175 @t212)))) % 3.73/3.95 (assume @p196 (forall @t6 (=> @t167 (= @t177 (tptp.set_meet @t2))))) % 3.73/3.95 (assume @p197 (forall @t27 (=> @t180 (= @t178 @t218)))) % 3.73/3.95 (assume @p198 (forall @t27 (= @t96 @t104))) % 3.73/3.95 (assume @p199 (forall @t6 (=> @t42 (= @t41 @t53)))) % 3.73/3.95 (assume @p200 (forall @t6 (= @t144 (tptp.are_equipotent @t1 @t2)))) % 3.73/3.95 (assume @p201 (forall @t6 (=> @t42 (tptp.ordinal_subset @t1 @t1)))) % 3.73/3.95 (assume @p202 (forall @t6 (tptp.subset @t1 @t1))) % 3.73/3.95 (assume @p203 (forall @t6 (tptp.equipotent @t1 @t1))) % 3.73/3.95 (assume @p204 (forall @t6 (=> @t236 (=> @t235 (exists @t73 (and @t24 @t143 (forall @t60 (= @t59 (and @t107 @t107 (exists @t223 (and (= @t43 @t220) (tptp.in @t55 @t220) (forall @t222 (=> @t221 (tptp.in (tptp.ordered_pair @t55 @t219) @t2)))))))))))))) % 3.73/3.95 (assume @p205 (forall @t15 (=> @t239 (exists @t13 (and @t51 @t86 (forall @t48 (= @t47 (and @t45 @t45 (= @t43 @t209))))))))) % 3.73/3.95 (assume @p206 (forall @t15 (=> (exists @t13 (and @t9 @t3)) (exists @t13 (and @t9 @t3 (forall @t73 (=> @t240 (=> @t45 (tptp.ordinal_subset @t2 @t23))))))))) % 3.73/3.95 (assume @p207 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t15 (=> (tptp.element @t1 (tptp.powerset @t264)) (not (and @t108 (forall @t13 (not (and @t3 (forall @t73 (=> (and @t45 @t263) (= @t23 @t2))))))))))) (forall @t67 (=> @t247 (=> @t262 (=> (tptp.in @t261 tptp.omega) (forall @t229 (=> (tptp.element @t226 (tptp.powerset (tptp.powerset @t261))) (not (and (not (= @t226 tptp.empty_set)) (forall @t228 (not (and @t227 (forall @t223 (=> (and (tptp.in @t220 @t226) (tptp.subset @t225 @t220)) (= @t220 @t225)))))))))))))) (forall @t67 (=> @t247 (=> (and (tptp.being_limit_ordinal @t43) (forall @t222 (=> (tptp.ordinal @t219) (=> (tptp.in @t219 @t43) (=> (tptp.in @t219 tptp.omega) (forall @t260 (=> (tptp.element @t256 (tptp.powerset (tptp.powerset @t219))) (not (and (not (= @t256 tptp.empty_set)) (forall @t259 (not (and @t258 (forall @t257 (=> (and (tptp.in @t255 @t256) (tptp.subset @t254 @t255)) (= @t255 @t254))))))))))))))) (or (= @t43 tptp.empty_set) (=> @t246 (forall @t253 (=> (tptp.element @t250 @t244) (not (and (not (= @t250 tptp.empty_set)) (forall @t252 (not (and (tptp.in @t248 @t250) (forall @t251 (=> (and (tptp.in @t249 @t250) (tptp.subset @t248 @t249)) (= @t249 @t248)))))))))))))))) (forall @t67 (=> @t247 (=> @t246 (forall @t245 (=> (tptp.element @t243 @t244) (not (and (not (= @t243 tptp.empty_set)) (forall (@list @t241) (not (and (tptp.in @t241 @t243) (forall (@list @t242) (=> (and (tptp.in @t242 @t243) (tptp.subset @t241 @t242)) (= @t242 @t241))))))))))))))) % 3.73/3.95 (assume @p208 (forall @t27 (=> @t268 (exists @t67 (and @t267 (forall @t122 (= (tptp.in @t120 @t43) (and @t71 @t266 (tptp.in (tptp.ordered_pair @t157 @t265) @t2))))))))) % 3.73/3.95 (assume @p209 (forall @t6 (=> @t236 (=> @t235 (exists @t73 (forall @t67 (= @t66 (exists @t65 (and @t71 @t71 (exists @t223 (and (= @t55 @t220) @t270 @t269))))))))))) % 3.73/3.95 (assume @p210 (forall @t6 (=> @t236 (forall @t73 (=> (forall @t281 (=> (and @t224 (exists @t280 (and (= @t279 @t55) @t278 (exists @t228 (and (= @t231 @t225) (tptp.in @t226 @t225) (forall @t223 (=> @t277 (tptp.in (tptp.ordered_pair @t226 @t220) @t2))))))) @t276 (exists @t275 (and (= @t274 @t119) (tptp.in @t219 @t1) (exists @t259 (and (= @t219 @t254) (tptp.in @t256 @t254) (forall @t257 (=> (tptp.in @t255 @t254) (tptp.in (tptp.ordered_pair @t256 @t255) @t2)))))))) @t273)) (exists @t67 (forall @t65 (= @t82 (exists @t162 (and (tptp.in @t119 @t272) @t271 (exists (@list @t250 @t248) (and (= (tptp.ordered_pair @t250 @t248) @t55) (tptp.in @t250 @t1) (exists @t251 (and (= @t250 @t249) (tptp.in @t248 @t249) (forall @t245 (=> (tptp.in @t243 @t249) (tptp.in (tptp.ordered_pair @t248 @t243) @t2))))))))))))))))) % 3.73/3.95 (assume @p211 (forall @t15 (=> @t239 (exists @t13 (forall @t73 (= @t102 (exists @t67 (and @t107 @t107 (= @t23 (tptp.singleton @t43)))))))))) % 3.73/3.95 (assume @p212 (forall @t6 (=> (forall @t164 (=> (and @t44 (exists @t286 (and (= @t285 @t43) @t266 (= @t231 (tptp.singleton @t119)))) @t284 (exists (@list @t226 @t225) (and (= (tptp.ordered_pair @t226 @t225) @t55) @t283 (= @t225 (tptp.singleton @t226))))) @t224)) (exists @t73 (forall @t67 (= @t66 (exists @t65 (and (tptp.in @t55 @t25) @t282 (exists (@list @t220 @t219) (and (= (tptp.ordered_pair @t220 @t219) @t43) (tptp.in @t220 @t1) (= @t219 (tptp.singleton @t220)))))))))))) % 3.73/3.95 (assume @p213 (forall @t15 (=> @t14 (=> (forall @t90 (=> (and @t97 (exists @t65 (and @t289 @t284 (=> (tptp.in @t55 tptp.omega) (forall @t162 (=> (tptp.element @t119 (tptp.powerset (tptp.powerset @t55))) @t288))))) @t113 (exists @t228 (and (tptp.ordinal @t225) (= @t43 @t225) (=> (tptp.in @t225 tptp.omega) (forall @t223 (=> (tptp.element @t220 (tptp.powerset (tptp.powerset @t225))) (not (and (not (= @t220 tptp.empty_set)) (forall @t222 (not (and @t221 (forall @t260 (=> (and (tptp.in @t256 @t220) (tptp.subset @t219 @t256)) (= @t256 @t219)))))))))))))) @t44)) (exists @t13 (forall @t73 (= @t102 (exists @t67 (and (tptp.in @t43 @t101) @t287 (exists @t259 (and (tptp.ordinal @t254) (= @t23 @t254) (=> (tptp.in @t254 tptp.omega) (forall @t257 (=> (tptp.element @t255 (tptp.powerset (tptp.powerset @t254))) (not (and (not (= @t255 tptp.empty_set)) (forall @t253 (not (and (tptp.in @t250 @t255) (forall @t252 (=> (and (tptp.in @t248 @t255) (tptp.subset @t250 @t248)) (= @t248 @t250)))))))))))))))))))))) % 3.73/3.95 (assume @p214 (forall @t6 (=> @t290 (=> (forall @t164 (=> (and @t44 (exists @t162 (and @t121 (= @t43 (tptp.set_difference @t119 @t100)))) @t284 (exists @t233 (and (tptp.in @t231 @t2) (= @t55 (tptp.set_difference @t231 @t100))))) @t224)) (exists @t73 (forall @t67 (= @t66 (exists @t65 (and (tptp.in @t55 @t31) @t282 (exists @t229 (and (tptp.in @t226 @t2) (= @t43 (tptp.set_difference @t226 @t100))))))))))))) % 3.73/3.95 (assume @p215 (forall @t27 (=> @t268 (=> (forall @t281 (=> (and @t224 (exists @t280 (and (= @t55 @t279) (tptp.in (tptp.ordered_pair @t292 (tptp.apply @t23 @t226)) @t2))) @t276 (exists (@list @t225 @t220) (and (= @t119 (tptp.ordered_pair @t225 @t220)) (tptp.in (tptp.ordered_pair (tptp.apply @t23 @t225) (tptp.apply @t23 @t220)) @t2)))) @t273)) (exists @t67 (forall @t65 (= @t82 (exists @t162 (and (tptp.in @t119 @t291) @t271 (exists @t275 (and (= @t55 @t274) (tptp.in (tptp.ordered_pair (tptp.apply @t23 @t219) (tptp.apply @t23 @t256)) @t2)))))))))))) % 3.73/3.95 (assume @p216 (forall @t15 (=> (forall @t90 (=> (and @t97 @t240 @t113 @t247) @t44)) (exists @t13 (forall @t73 (= @t102 (exists @t67 (and @t107 @t287 @t240)))))))) % 3.73/3.95 (assume @p217 (forall @t27 (=> @t295 (=> (forall @t281 (=> (and @t224 @t293 @t276 (tptp.in (tptp.relation_image @t23 @t119) @t2)) @t273)) (exists @t67 (forall @t65 (= @t82 (exists @t162 (and (tptp.in @t119 @t294) @t271 @t293))))))))) % 3.73/3.95 (assume @p218 (forall @t6 (=> @t9 (=> (forall @t164 (=> (and @t44 (exists @t162 (and (tptp.ordinal @t119) @t276 @t266)) @t284 (exists @t233 (and (tptp.ordinal @t231) (= @t55 @t231) @t278))) @t224)) (exists @t73 (forall @t67 (= @t66 (exists @t65 (and (tptp.in @t55 @t296) @t282 (exists @t229 (and (tptp.ordinal @t226) (= @t43 @t226) @t283))))))))))) % 3.73/3.95 (assume @p219 (forall @t6 (=> @t236 (forall @t73 (exists @t67 (forall @t65 (= @t82 (and (tptp.in @t55 @t272) (exists @t286 (and (= @t285 @t55) @t266 (exists @t229 (and (= @t119 @t226) (tptp.in @t231 @t226) (forall @t228 (=> @t227 (tptp.in (tptp.ordered_pair @t231 @t225) @t2))))))))))))))) % 3.73/3.95 (assume @p220 (forall @t6 (exists @t73 (forall @t67 (= @t66 (and (tptp.in @t43 @t25) (exists @t122 (and (= @t120 @t43) @t71 (= @t119 (tptp.singleton @t55)))))))))) % 3.73/3.95 (assume @p221 (forall @t15 (=> @t14 (exists @t13 (forall @t73 (= @t102 (and (tptp.in @t23 @t101) (exists @t67 (and @t247 @t44 @t262))))))))) % 3.73/3.95 (assume @p222 (forall @t6 (=> @t290 (exists @t73 (forall @t67 (= @t66 (and (tptp.in @t43 @t31) (exists @t65 (and @t63 (= @t43 (tptp.set_difference @t55 @t100))))))))))) % 3.73/3.95 (assume @p223 (forall @t27 (=> @t268 (exists @t67 (forall @t65 (= @t82 (and (tptp.in @t55 @t291) (exists @t286 (and (= @t55 @t285) (tptp.in (tptp.ordered_pair @t265 @t292) @t2)))))))))) % 3.73/3.95 (assume @p224 (forall @t15 (exists @t13 (forall @t73 (= @t102 (and @t45 @t240)))))) % 3.73/3.95 (assume @p225 (forall @t27 (=> @t295 (exists @t67 (forall @t65 (= @t82 (and (tptp.in @t55 @t294) @t293))))))) % 3.73/3.95 (assume @p226 (forall @t6 (=> @t9 (exists @t73 (forall @t67 (= @t66 (and (tptp.in @t43 @t296) (exists @t65 (and @t289 @t224 @t71))))))))) % 3.73/3.95 (assume @p227 (forall @t6 (=> @t236 (=> (and (forall @t164 (=> (and @t45 @t234 @t230) @t224)) (forall @t73 (not (and @t45 (forall @t67 (not (exists @t223 (and (= @t23 @t220) @t270 @t269)))))))) (exists @t73 (and @t24 @t143 @t141 (forall @t67 (=> @t107 (exists @t260 (and (= @t43 @t256) (tptp.in @t158 @t256) (forall @t259 (=> @t258 (tptp.in (tptp.ordered_pair @t158 @t254) @t2))))))))))))) % 3.73/3.95 (assume @p228 (forall @t15 (=> (and (forall @t90 (=> (and @t3 @t238 @t237) @t44)) (forall @t13 (not (and @t3 (forall @t73 (not @t238)))))) @t299))) % 3.73/3.95 (assume @p229 (=> (forall @t15 (=> @t14 (=> (forall @t13 (=> @t9 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t73 (=> (tptp.element @t23 (tptp.powerset @t173)) (not (and @t127 (forall @t67 (not (and @t66 (forall @t65 (=> (and (tptp.in @t55 @t23) (tptp.subset @t43 @t55)) @t282))))))))))))) (=> @t300 (forall @t162 (=> (tptp.element @t119 @t166) @t288)))))) (forall @t15 (=> @t14 (=> @t300 (forall @t228 (=> (tptp.element @t225 @t166) (not (and (not (= @t225 tptp.empty_set)) (forall @t223 (not (and @t277 (forall @t222 (=> (and (tptp.in @t219 @t225) (tptp.subset @t220 @t219)) (= @t219 @t220))))))))))))))) % 3.73/3.95 (assume @p230 (forall @t15 @t299)) % 3.73/3.95 (assume @p231 (forall @t6 (=> @t161 (tptp.disjoint @t2 @t1)))) % 3.73/3.95 (assume @p232 (forall @t6 (=> @t144 (tptp.equipotent @t2 @t1)))) % 3.73/3.95 (assume @p233 (forall @t15 (tptp.in @t1 @t101))) % 3.73/3.95 (assume @p234 (forall @t83 (not (and (= @t37 (tptp.unordered_pair @t23 @t43)) (not @t301) (not (= @t1 @t43)))))) % 3.73/3.95 (assume @p235 (forall @t27 (=> @t24 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t23))) (and @t5 (tptp.in @t1 @t139)))))) % 3.73/3.95 (assume @p236 (forall @t6 (=> @t51 (tptp.subset @t302 @t1)))) % 3.73/3.95 (assume @p237 (forall @t6 (=> @t51 (tptp.subset @t72 @t2)))) % 3.73/3.95 (assume @p238 (forall @t6 (=> @t51 (tptp.subset @t302 @t85)))) % 3.73/3.95 (assume @p239 (forall @t27 (=> @t53 (and (tptp.subset @t272 (tptp.cartesian_product2 @t2 @t23)) (tptp.subset (tptp.cartesian_product2 @t23 @t1) (tptp.cartesian_product2 @t23 @t2)))))) % 3.73/3.95 (assume @p240 (forall @t6 (=> @t51 (= @t302 (tptp.set_intersection2 @t85 @t1))))) % 3.73/3.95 (assume @p241 (forall @t83 (=> (and @t53 @t110) (tptp.subset @t272 (tptp.cartesian_product2 @t2 @t43))))) % 3.73/3.95 (assume @p242 (forall @t27 (=> @t96 (and (tptp.subset @t140 @t1) (tptp.subset @t139 @t2))))) % 3.73/3.95 (assume @p243 (forall @t6 (=> @t53 (= @t39 @t2)))) % 3.73/3.95 (assume @p244 (forall @t15 (exists @t13 (and @t5 @t305 (forall @t73 (=> @t102 (tptp.in @t304 @t2))) @t303)))) % 3.73/3.95 (assume @p245 (forall @t6 (=> (and @t53 @t30) @t16))) % 3.73/3.95 (assume @p246 (forall @t27 (=> @t24 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t23) @t2) (tptp.relation_rng_restriction @t1 @t306))))) % 3.73/3.95 (assume @p247 (forall @t27 (=> @t24 (= (tptp.in @t1 (tptp.relation_image @t23 @t2)) (exists @t67 (and (tptp.in @t43 @t140) (tptp.in (tptp.ordered_pair @t43 @t1) @t23) @t58)))))) % 3.73/3.95 (assume @p248 (forall @t6 (=> @t51 (tptp.subset @t307 @t85)))) % 3.73/3.95 (assume @p249 (forall @t6 (=> @t200 (tptp.subset @t309 @t1)))) % 3.73/3.95 (assume @p250 (forall @t6 (=> @t51 (= @t307 (tptp.relation_image @t2 @t310))))) % 3.73/3.95 (assume @p251 (forall @t6 (=> @t51 (=> (tptp.subset @t1 @t84) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t307)))))) % 3.73/3.95 (assume @p252 @t313) % 3.73/3.95 (assume @p253 (forall @t6 (=> @t200 (=> @t314 (= @t309 @t1))))) % 3.73/3.95 (assume @p254 (forall @t83 (=> @t317 (=> (tptp.subset @t316 @t2) @t315)))) % 3.73/3.95 (assume @p255 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (= @t318 (tptp.relation_image @t2 @t147))))))) % 3.73/3.95 (assume @p256 (forall @t27 (=> @t24 (= (tptp.in @t1 @t319) (exists @t67 (and (tptp.in @t43 @t139) (tptp.in (tptp.ordered_pair @t1 @t43) @t23) @t58)))))) % 3.73/3.95 (assume @p257 (forall @t6 (=> @t51 (tptp.subset @t308 @t84)))) % 3.73/3.95 (assume @p258 (forall @t83 (=> @t317 (=> @t53 @t315)))) % 3.73/3.95 (assume @p259 (forall @t27 (=> @t24 (= (tptp.in @t1 @t320) (and @t213 (tptp.in @t1 @t154)))))) % 3.73/3.95 (assume @p260 (forall @t6 (=> @t51 (not (and @t108 @t314 (= @t308 tptp.empty_set)))))) % 3.73/3.95 (assume @p261 (forall @t27 (=> @t24 (=> @t53 (tptp.subset (tptp.relation_inverse_image @t23 @t1) @t319))))) % 3.73/3.95 (assume @p262 (forall @t6 (=> @t200 (=> @t16 (tptp.finite @t307))))) % 3.73/3.95 (assume @p263 (forall @t6 (=> @t51 (= @t321 (tptp.relation_dom_restriction @t72 @t1))))) % 3.73/3.95 (assume @p264 (forall @t6 (tptp.subset @t40 @t1))) % 3.73/3.95 (assume @p265 (forall @t15 (=> @t16 (forall @t13 (=> @t167 (not (and @t117 (forall @t73 (not (and @t102 (forall @t67 (=> (and @t58 @t110) @t287)))))))))))) % 3.73/3.95 (assume @p266 (forall @t6 (=> @t51 (= @t321 (tptp.relation_rng_restriction @t1 @t322))))) % 3.73/3.95 (assume @p267 (forall @t27 (=> @t24 (=> (tptp.in @t1 (tptp.relation_field @t320)) (and @t324 @t5))))) % 3.73/3.95 (assume @p268 (forall @t27 (=> (and @t53 @t326) (tptp.subset @t1 @t325)))) % 3.73/3.95 (assume @p269 (forall @t15 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 3.73/3.95 (assume @p270 (forall @t6 (=> @t5 @t327))) % 3.73/3.95 (assume @p271 (forall @t27 (=> (and @t53 @t263) @t326))) % 3.73/3.95 (assume @p272 (= @t264 (tptp.singleton tptp.empty_set))) % 3.73/3.95 (assume @p273 (forall @t27 (=> @t24 (=> @t329 (and @t328 (tptp.in @t2 @t139)))))) % 3.73/3.95 (assume @p274 (forall @t6 (=> @t51 (and (tptp.subset @t330 @t111) (tptp.subset @t330 @t1))))) % 3.73/3.95 (assume @p275 (forall @t6 (=> @t200 (forall @t73 (=> @t160 (= @t333 (and @t328 (tptp.in @t331 @t84)))))))) % 3.73/3.95 (assume @p276 (forall @t83 (=> @t336 (forall @t65 (=> (and (tptp.relation @t55) (tptp.function @t55)) (=> @t45 (or @t94 (= (tptp.apply (tptp.relation_composition @t43 @t55) @t23) (tptp.apply @t55 @t334))))))))) % 3.73/3.95 (assume @p277 (forall @t15 (=> @t20 (forall @t13 (=> @t9 (=> @t8 @t5)))))) % 3.73/3.95 (assume @p278 (forall @t15 (=> @t22 (tptp.subset @t1 (tptp.cartesian_product2 @t64 @t147))))) % 3.73/3.95 (assume @p279 (forall @t27 (=> @t24 (tptp.subset (tptp.fiber (tptp.relation_restriction @t23 @t1) @t2) (tptp.fiber @t23 @t2))))) % 3.73/3.95 (assume @p280 (forall @t6 (=> @t200 (forall @t73 (=> @t160 (=> @t333 (= (tptp.apply @t332 @t1) (tptp.apply @t2 @t331)))))))) % 3.73/3.95 (assume @p281 (forall @t27 (=> (tptp.relation_of2_as_subset @t23 @t2 @t1) (= (forall @t67 (not (and @t58 (forall @t65 (not @t59))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t23) @t2))))) % 3.73/3.95 (assume @p282 (forall @t6 (=> @t51 (=> @t337 (tptp.reflexive @t321))))) % 3.73/3.95 (assume @p283 (forall @t6 (=> @t200 (forall @t73 (=> @t160 (=> (tptp.in @t1 @t84) (= (tptp.apply (tptp.relation_composition @t2 @t23) @t1) (tptp.apply @t23 (tptp.apply @t2 @t1))))))))) % 3.73/3.95 (assume @p284 (forall @t6 (=> @t9 (=> @t5 @t14)))) % 3.73/3.95 (assume @p285 (forall @t27 (=> @t96 (= (forall @t67 (not (and @t58 (forall @t65 (not (tptp.in @t79 @t23)))))) (= @t174 @t2))))) % 3.73/3.95 (assume @p286 (forall @t6 (=> @t51 (=> @t338 (tptp.connected @t321))))) % 3.73/3.95 (assume @p287 (forall @t15 (=> @t14 (forall @t13 (=> @t9 (not (and @t206 @t168 @t4))))))) % 3.73/3.95 (assume @p288 (forall @t6 (=> @t51 (=> @t339 (tptp.transitive @t321))))) % 3.73/3.95 (assume @p289 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (=> @t53 (and (tptp.subset @t64 @t84) (tptp.subset @t147 @t85)))))))) % 3.73/3.95 (assume @p290 (forall @t6 (=> @t51 (=> @t340 (tptp.antisymmetric @t321))))) % 3.73/3.95 (assume @p291 (forall @t6 (=> @t51 (=> @t343 (and @t342 @t341))))) % 3.73/3.95 (assume @p292 @t348) % 3.73/3.95 (assume @p293 (forall @t15 (exists @t13 (and @t51 @t343)))) % 3.73/3.95 (assume @p294 (forall @t27 (=> @t53 (tptp.subset (tptp.set_intersection2 @t1 @t23) @t325)))) % 3.73/3.95 (assume @p295 (forall @t15 (=> @t116 (not (and (forall @t13 (not (and @t3 @t94))) (forall @t13 (=> @t200 (not (and @t298 (forall @t73 (=> @t45 (tptp.in @t297 @t23)))))))))))) % 3.73/3.95 (assume @p296 (forall @t6 (=> @t53 (= @t40 @t1)))) % 3.73/3.95 (assume @p297 (forall @t15 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 3.73/3.95 (assume @p298 (forall @t6 (=> @t327 (or @t115 @t5)))) % 3.73/3.95 (assume @p299 (forall @t6 (=> (forall @t73 (= @t45 @t102)) @t54))) % 3.73/3.95 (assume @p300 (forall @t15 (tptp.reflexive @t112))) % 3.73/3.95 (assume @p301 (forall @t15 (tptp.subset tptp.empty_set @t1))) % 3.73/3.95 (assume @p302 (forall @t27 (=> @t24 (=> @t329 (and @t324 (tptp.in @t2 @t323)))))) % 3.73/3.95 (assume @p303 (forall @t15 (=> (forall @t13 (=> @t3 (and @t9 @t52))) @t14))) % 3.73/3.95 (assume @p304 (forall @t6 (=> @t51 (=> @t349 (tptp.well_founded_relation @t321))))) % 3.73/3.95 (assume @p305 (forall @t6 (=> @t9 (not (and @t53 @t108 (forall @t73 (=> @t240 (not (and @t45 (forall @t67 (=> @t247 (=> @t107 (tptp.ordinal_subset @t23 @t43))))))))))))) % 3.73/3.95 (assume @p306 (forall @t6 (=> @t51 (=> @t207 @t341)))) % 3.73/3.95 (assume @p307 (forall @t15 (=> @t14 (forall @t13 (=> @t9 (= @t5 (tptp.ordinal_subset @t101 @t2))))))) % 3.73/3.95 (assume @p308 (forall @t27 (=> @t53 (tptp.subset (tptp.set_difference @t1 @t23) @t218)))) % 3.73/3.95 (assume @p309 (forall @t83 (=> (= @t151 @t46) (and @t301 @t113)))) % 3.73/3.95 (assume @p310 (forall @t6 (=> @t200 (= @t50 (and @t298 (forall @t73 (=> @t45 (= @t297 @t23)))))))) % 3.73/3.95 (assume @p311 (forall @t6 (=> @t3 (= (tptp.apply @t49 @t2) @t2)))) % 3.73/3.95 (assume @p312 (forall @t6 (tptp.subset @t145 @t1))) % 3.73/3.95 (assume @p313 (forall @t15 (=> @t22 (and (= @t147 (tptp.relation_dom @t156)) (= @t64 (tptp.relation_rng @t156)))))) % 3.73/3.95 (assume @p314 (forall @t27 (= (tptp.subset @t37 @t23) (and @t213 @t125)))) % 3.73/3.95 (assume @p315 (forall @t6 (=> @t51 (=> (and @t207 (tptp.subset @t1 @t111)) @t342)))) % 3.73/3.95 (assume @p316 (forall @t6 (= @t350 @t39))) % 3.73/3.95 (assume @p317 (forall @t15 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 3.73/3.95 (assume @p318 (forall @t27 (not (and @t5 @t125 @t45)))) % 3.73/3.95 (assume @p319 (forall @t6 (= @t214 @t53))) % 3.73/3.95 (assume @p320 (forall @t15 (tptp.transitive @t112))) % 3.73/3.95 (assume @p321 (forall @t6 (and (not (and @t352 (forall @t73 (not @t351)))) (not (and (exists @t73 @t351) @t161))))) % 3.73/3.95 (assume @p322 (forall @t15 (=> (tptp.subset @t1 tptp.empty_set) @t93))) % 3.73/3.95 (assume @p323 (forall @t6 (= (tptp.set_difference @t39 @t2) @t145))) % 3.73/3.95 (assume @p324 (forall @t15 (=> @t14 (= @t149 (forall @t13 (=> @t9 (=> @t3 (tptp.in @t296 @t1)))))))) % 3.73/3.95 (assume @p325 (forall @t15 (=> @t14 (and (not (and (not @t149) (forall @t13 (=> @t9 (not @t353))))) (not (and (exists @t13 (and @t9 @t353)) @t149)))))) % 3.73/3.95 (assume @p326 (forall @t6 (=> @t32 (forall @t73 (=> @t179 (= @t355 (tptp.subset @t2 @t354))))))) % 3.73/3.95 (assume @p327 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (tptp.subset @t356 @t64)))))) % 3.73/3.95 (assume @p328 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (tptp.subset @t318 @t85)))))) % 3.73/3.95 (assume @p329 (forall @t6 (=> @t53 (= @t2 @t350)))) % 3.73/3.95 (assume @p330 (forall @t83 (=> @t336 (=> @t117 (forall @t65 (= (tptp.in @t55 (tptp.relation_inverse_image @t43 @t23)) (and @t71 (tptp.in (tptp.apply @t43 @t55) @t23)))))))) % 3.73/3.95 (assume @p331 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (=> (tptp.subset @t147 @t84) (= @t356 @t64))))))) % 3.73/3.95 (assume @p332 (forall @t6 (=> @t167 (not (and @t117 (= @t165 tptp.empty_set)))))) % 3.73/3.95 (assume @p333 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (=> (tptp.subset @t64 @t85) (= (tptp.relation_rng @t184) @t147))))))) % 3.73/3.95 (assume @p334 (forall @t6 (=> @t167 (=> @t117 (= (tptp.subset_difference @t1 @t135 @t175) (tptp.meet_of_subsets @t1 @t165)))))) % 3.73/3.95 (assume @p335 (forall @t6 (=> @t167 (=> @t117 (= (tptp.union_of_subsets @t1 @t165) (tptp.subset_difference @t1 @t135 @t177)))))) % 3.73/3.95 (assume @p336 (forall @t6 (= (tptp.set_difference @t1 @t145) @t40))) % 3.73/3.95 (assume @p337 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (forall @t73 (=> @t160 (=> @t159 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t23)))))))))) % 3.73/3.95 (assume @p338 (forall @t15 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 3.73/3.95 (assume @p339 (forall @t27 (=> (and @t5 @t357) (tptp.element @t1 @t23)))) % 3.73/3.95 (assume @p340 (forall @t15 (=> @t14 (tptp.connected @t112)))) % 3.73/3.95 (assume @p341 (forall @t6 (and (not (and @t352 (forall @t73 (not @t358)))) (not (and (exists @t73 @t358) @t161))))) % 3.73/3.95 (assume @p342 (forall @t15 (=> @t108 (forall @t13 (=> @t32 (forall @t73 (=> (tptp.element @t23 @t1) (=> @t123 (tptp.in @t23 @t150))))))))) % 3.73/3.95 (assume @p343 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (forall @t73 (=> @t160 (=> @t159 (and (=> @t137 @t337) (=> @t81 @t339) (=> @t80 @t338) (=> @t75 @t340) (=> @t118 @t349)))))))))) % 3.73/3.95 (assume @p344 (forall @t15 (=> @t70 (=> @t33 (forall @t13 (=> @t200 (= (= @t2 @t169) (and (= @t84 @t147) (forall @t48 (and (=> @t359 @t146) (=> @t146 @t359))))))))))) % 3.73/3.95 (assume @p345 (forall @t27 (=> @t179 (not (and (tptp.in @t2 @t354) @t125))))) % 3.73/3.95 (assume @p346 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (forall @t73 (=> @t160 (=> (and @t138 @t159) @t207)))))))) % 3.73/3.95 (assume @p347 (forall @t15 (=> @t70 (=> @t33 (and (= @t147 (tptp.relation_dom @t169)) (= @t64 (tptp.relation_rng @t169))))))) % 3.73/3.95 (assume @p348 (forall @t15 (=> @t22 (=> (forall @t62 @t210) @t93)))) % 3.73/3.95 (assume @p349 (forall @t6 (=> @t200 (=> (and @t217 (tptp.in @t1 @t85)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t360 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t360 @t2) @t1))))))) % 3.73/3.95 (assume @p350 (forall @t27 (not (and @t5 @t357 (tptp.empty @t23))))) % 3.73/3.95 (assume @p351 (forall @t15 (=> @t22 (= @t118 (tptp.is_well_founded_in @t1 @t74))))) % 3.73/3.95 (assume @p352 (forall @t15 (tptp.antisymmetric @t112))) % 3.73/3.95 (assume @p353 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 3.73/3.95 (assume @p354 (forall @t6 (not (and @t53 @t7)))) % 3.73/3.95 (assume @p355 (forall @t15 (=> @t70 (=> @t33 (tptp.one_to_one @t169))))) % 3.73/3.95 (assume @p356 (forall @t27 (=> (and @t53 @t355) (tptp.disjoint @t1 @t23)))) % 3.73/3.95 (assume @p357 (forall @t15 (=> @t22 (=> (or @t362 @t361) @t93)))) % 3.73/3.95 (assume @p358 (forall @t15 (=> @t22 (= @t362 @t361)))) % 3.73/3.95 (assume @p359 (forall @t6 (= (= (tptp.set_difference @t1 @t211) @t1) @t4))) % 3.73/3.95 (assume @p360 (forall @t6 (=> @t200 (forall @t73 (=> @t160 (= (= @t2 @t215) (and (= @t84 (tptp.set_intersection2 @t140 @t1)) (forall @t67 (=> (tptp.in @t43 @t84) (= (tptp.apply @t2 @t43) @t158)))))))))) % 3.73/3.95 (assume @p361 (forall @t15 (= (tptp.unordered_pair @t1 @t1) @t100))) % 3.73/3.95 (assume @p362 (forall @t15 (=> @t17 @t93))) % 3.73/3.95 (assume @p363 (forall @t83 (=> @t336 (=> @t45 (or @t94 (tptp.in @t334 @t316)))))) % 3.73/3.95 (assume @p364 (forall @t15 (=> @t14 (tptp.well_founded_relation @t112)))) % 3.73/3.95 (assume @p365 (forall @t6 (=> (tptp.subset @t100 @t211) @t54))) % 3.73/3.95 (assume @p366 (forall @t27 (=> @t160 (=> @t216 @t363)))) % 3.73/3.95 (assume @p367 (forall @t15 (and (= (tptp.relation_dom @t49) @t1) (= (tptp.relation_rng @t49) @t1)))) % 3.73/3.95 (assume @p368 (forall @t27 (=> @t160 (=> @t3 @t363)))) % 3.73/3.95 (assume @p369 (forall @t83 (=> @t267 (= (tptp.in @t151 (tptp.relation_composition (tptp.identity_relation @t23) @t43)) (and @t213 (tptp.in @t151 @t43)))))) % 3.73/3.95 (assume @p370 (forall @t6 (not (and @t5 @t115)))) % 3.73/3.95 (assume @p371 (forall @t6 (and (= (tptp.pair_first @t151) @t1) (= (tptp.pair_second @t151) @t2)))) % 3.73/3.95 (assume @p372 (forall @t6 (not (and @t5 (forall @t73 (not (and @t102 (forall @t67 (not (and @t58 @t66)))))))))) % 3.73/3.95 (assume @p373 (forall @t15 (=> @t14 (tptp.well_ordering @t112)))) % 3.73/3.95 (assume @p374 (forall @t6 (tptp.subset @t1 @t39))) % 3.73/3.95 (assume @p375 (forall @t6 (= @t161 (= @t145 @t1)))) % 3.73/3.95 (assume @p376 (forall @t27 (=> @t24 (= (tptp.in @t1 (tptp.relation_dom @t306)) (and @t5 @t328))))) % 3.73/3.95 (assume @p377 (forall @t6 (=> @t51 (tptp.subset @t322 @t2)))) % 3.73/3.95 (assume @p378 (forall @t6 (not (and @t17 @t168 @t115)))) % 3.73/3.95 (assume @p379 (forall @t27 (=> @t160 (= @t329 (and @t328 (= @t2 @t331)))))) % 3.73/3.95 (assume @p380 (forall @t15 (=> @t22 (= (tptp.well_orders @t1 @t74) @t138)))) % 3.73/3.95 (assume @p381 (forall @t27 (=> (and @t53 @t128) (tptp.subset (tptp.set_union2 @t1 @t23) @t2)))) % 3.73/3.95 (assume @p382 (forall @t27 (=> @t364 @t54))) % 3.73/3.95 (assume @p383 (forall @t6 (=> @t51 (= (tptp.relation_dom @t322) @t310)))) % 3.73/3.95 (assume @p384 (forall @t6 (=> @t51 (= @t322 (tptp.relation_composition @t49 @t2))))) % 3.73/3.95 (assume @p385 (forall @t6 (=> @t51 (tptp.subset (tptp.relation_rng @t322) @t85)))) % 3.73/3.95 (assume @p386 (forall @t15 (= (tptp.union @t31) @t1))) % 3.73/3.95 (assume @p387 (forall @t83 (=> @t336 (=> @t263 (or (and @t94 @t108) (and @t335 (tptp.quasi_total @t43 @t1 @t23) (tptp.relation_of2_as_subset @t43 @t1 @t23))))))) % 3.73/3.95 (assume @p388 (forall @t15 (exists @t13 (and @t5 @t305 (forall @t73 (not (and @t102 (forall @t67 (not (and @t58 (forall @t65 (=> (tptp.subset @t55 @t23) @t82)))))))) @t303)))) % 3.73/3.95 (assume @p389 (forall @t27 (=> @t364 @t97))) % 3.73/3.95 (step @p390 :rule evaluate :args ((= false true))) % 3.73/3.95 (step @p391 :rule aci_norm :args ((= (or @t368 @t189) (or @t367 @t366 @t365 @t189)))) % 3.73/3.95 (step @p392 :rule refl :args (@t189)) % 3.73/3.95 (step @p393 :rule aci_norm :args ((= (or @t367 (or @t366 @t365)) @t368))) % 3.73/3.95 (step @p394 :rule bool-and-de-morgan :args (@t18 @t30 true)) % 3.73/3.95 (step @p395 :rule refl :args (@t367)) % 3.73/3.98 (step @p396 :rule nary_cong :premises (@p395 @p394) :args ((or @t367 (not (and @t18 @t30))))) % 3.73/3.98 (step @p397 :rule bool-and-de-morgan :args (@t22 @t18 (and @t30))) % 3.73/3.98 (step @p398 :rule trans :premises (@p397 @p396)) % 3.73/3.98 (step @p399 :rule trans :premises (@p398 @p393)) % 3.73/3.98 (step @p400 :rule nary_cong :premises (@p399 @p392) :args ((or (not @t190) @t189))) % 3.73/3.98 (step @p401 :rule trans :premises (@p400 @p391)) % 3.73/3.98 (step @p402 :rule bool-impl-elim :args (@t190 @t189)) % 3.73/3.98 (step @p403 :rule trans :premises (@p402 @p401)) % 3.73/3.98 (step @p404 :rule cong :premises (@p403) :args (@t191)) % 3.73/3.98 (step @p405 :rule eq_resolve :premises (@p114 @p404)) % 3.73/3.98 (step @p406 :rule instantiate :premises (@p405) :args ((@list @t371 @t372))) % 3.73/3.98 (step @p407 :rule aci_norm :args ((= (or (or @t367 @t366) (or @t369 @t344)) @t370))) % 3.73/3.98 (step @p408 :rule bool-impl-elim :args (@t345 @t344)) % 3.73/3.98 (step @p409 :rule bool-and-de-morgan :args (@t22 @t18 true)) % 3.73/3.98 (step @p410 :rule nary_cong :premises (@p409 @p408) :args ((or (not @t70) @t346))) % 3.73/3.98 (step @p411 :rule trans :premises (@p410 @p407)) % 3.73/3.98 (step @p412 :rule bool-impl-elim :args (@t70 @t346)) % 3.73/3.98 (step @p413 :rule trans :premises (@p412 @p411)) % 3.73/3.98 (step @p414 :rule cong :premises (@p413) :args (@t347)) % 3.73/3.98 (step @p415 :rule cong :premises (@p414) :args (@t348)) % 3.73/3.98 (step @p416 :rule eq_resolve :premises (@p292 @p415)) % 3.73/3.98 (step @p417 :rule skolemize :premises (@p416)) % 3.73/3.98 (step @p418 :rule bool-double-not-elim :args (@t373)) % 3.73/3.98 (step @p419 :rule refl :args (@t381)) % 3.73/3.98 (step @p420 :rule nary_cong :premises (@p419 @p418) :args ((or @t381 (not @t376)))) % 3.73/3.98 (step @p421 :rule cnf_or_neg :args (@t381 2)) % 3.73/3.98 (step @p422 :rule eq_resolve :premises (@p421 @p420)) % 3.73/3.98 (step @p423 :rule reordering :premises (@p422) :args ((or @t373 @t381))) % 3.73/3.98 (step @p424 :rule chain_m_resolution :premises (@p423 @p417) :args (@t373 @t382 @t383)) % 3.73/3.98 (step @p425 :rule bool-double-not-elim :args (@t377)) % 3.73/3.98 (step @p426 :rule nary_cong :premises (@p419 @p425) :args ((or @t381 (not @t378)))) % 3.73/3.98 (step @p427 :rule cnf_or_neg :args (@t381 1)) % 3.73/3.98 (step @p428 :rule eq_resolve :premises (@p427 @p426)) % 3.73/3.98 (step @p429 :rule reordering :premises (@p428) :args ((or @t377 @t381))) % 3.73/3.98 (step @p430 :rule chain_m_resolution :premises (@p429 @p417) :args (@t377 @t382 @t383)) % 3.73/3.98 (step @p431 :rule bool-double-not-elim :args (@t379)) % 3.73/3.98 (step @p432 :rule nary_cong :premises (@p419 @p431) :args ((or @t381 (not @t380)))) % 3.73/3.98 (step @p433 :rule cnf_or_neg :args (@t381 0)) % 3.73/3.98 (step @p434 :rule eq_resolve :premises (@p433 @p432)) % 3.73/3.98 (step @p435 :rule reordering :premises (@p434) :args ((or @t379 @t381))) % 3.73/3.98 (step @p436 :rule chain_m_resolution :premises (@p435 @p417) :args (@t379 @t382 @t383)) % 3.73/3.98 (step @p437 :rule cnf_or_pos :args (@t386)) % 3.73/3.98 (step @p438 :rule reordering :premises (@p437) :args ((or @t380 @t378 @t376 @t385 (not @t386)))) % 3.73/3.98 (step @p439 :rule chain_m_resolution :premises (@p438 @p436 @p430 @p424 @p406) :args (@t385 (@list false false false false) (@list @t379 @t377 @t373 @t386))) % 3.73/3.98 (step @p440 :rule true_intro :premises (@p439)) % 3.73/3.98 (step @p441 :rule bool-impl-elim :args (@t22 @t387)) % 3.73/3.98 (step @p442 :rule cong :premises (@p441) :args ((forall @t15 (=> @t22 @t387)))) % 3.73/3.98 (step @p443 :rule eq-symm :args (@t311 @t147)) % 3.73/3.98 (step @p444 :rule refl :args (@t22)) % 3.73/3.98 (step @p445 :rule cong :premises (@p444 @p443) :args (@t312)) % 3.73/3.98 (step @p446 :rule cong :premises (@p445) :args (@t313)) % 3.73/3.98 (step @p447 :rule trans :premises (@p446 @p442)) % 3.73/3.98 (step @p448 :rule eq_resolve :premises (@p252 @p447)) % 3.73/3.98 (step @p449 :rule instantiate :premises (@p448) :args ((@list @t371))) % 3.73/3.98 (step @p450 :rule cnf_or_pos :args (@t389)) % 3.73/3.98 (step @p451 :rule reordering :premises (@p450) :args ((or @t380 @t388 (not @t389)))) % 3.73/3.98 (step @p452 :rule chain_m_resolution :premises (@p451 @p436 @p449) :args (@t388 (@list false false) (@list @t379 @t389))) % 3.73/3.98 (step @p453 :rule cong :premises (@p452) :args (@t375)) % 3.73/3.98 (step @p454 :rule cnf_or_neg :args (@t381 3)) % 3.73/3.98 (step @p455 :rule chain_m_resolution :premises (@p454 @p417) :args ((not @t375) @t382 @t383)) % 3.73/3.98 (step @p456 :rule false_intro :premises (@p455)) % 3.73/3.98 (step @p457 :rule symm :premises (@p456)) % 3.73/3.98 (step @p458 :rule trans :premises (@p457 @p453 @p440)) % 3.73/3.98 (step @p459 false :rule eq_resolve :premises (@p458 @p390)) % 3.73/3.98 ) % 3.73/3.98 % SZS output end Proof % 3.73/3.98 % cvc5 exiting %------------------------------------------------------------------------------