%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU299+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 0.44s 0.88s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU299+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n020.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:54:41 EDT 2026 % 0.17/0.35 % CPUTime : % 0.41/0.60 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.88 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.88 % SZS status Theorem % 0.44/0.88 % SZS output start Proof % 0.44/0.88 ( % 0.44/0.88 (declare-sort $$unsorted 0) % 0.44/0.88 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.function (-> $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.omega $$unsorted) % 0.44/0.88 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.empty_set $$unsorted) % 0.44/0.88 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.44/0.88 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.44/0.88 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.44/0.88 (define @t1 () (@var "A" $$unsorted)) % 0.44/0.88 (define @t2 () (@var "B" $$unsorted)) % 0.44/0.88 (define @t3 () (tptp.in @t2 @t1)) % 0.44/0.88 (define @t4 () (not @t3)) % 0.44/0.88 (define @t5 () (tptp.in @t1 @t2)) % 0.44/0.88 (define @t6 () (@list @t1 @t2)) % 0.44/0.88 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.44/0.88 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.44/0.88 (define @t9 () (tptp.ordinal @t2)) % 0.44/0.88 (define @t10 () (tptp.epsilon_connected @t2)) % 0.44/0.88 (define @t11 () (tptp.epsilon_transitive @t2)) % 0.44/0.88 (define @t12 () (tptp.element @t2 @t1)) % 0.44/0.88 (define @t13 () (@list @t2)) % 0.44/0.88 (define @t14 () (tptp.ordinal @t1)) % 0.44/0.88 (define @t15 () (@list @t1)) % 0.44/0.88 (define @t16 () (tptp.finite @t1)) % 0.44/0.88 (define @t17 () (tptp.empty @t1)) % 0.44/0.88 (define @t18 () (tptp.function @t1)) % 0.44/0.88 (define @t19 () (tptp.epsilon_connected @t1)) % 0.44/0.88 (define @t20 () (tptp.epsilon_transitive @t1)) % 0.44/0.88 (define @t21 () (and @t20 @t19)) % 0.44/0.88 (define @t22 () (tptp.relation @t1)) % 0.44/0.88 (define @t23 () (@var "C" $$unsorted)) % 0.44/0.88 (define @t24 () (tptp.relation @t23)) % 0.44/0.88 (define @t25 () (tptp.cartesian_product2 @t1 @t2)) % 0.44/0.88 (define @t26 () (tptp.element @t23 (tptp.powerset @t25))) % 0.44/0.88 (define @t27 () (@list @t1 @t2 @t23)) % 0.44/0.88 (define @t28 () (tptp.natural @t1)) % 0.44/0.88 (define @t29 () (and @t20 @t19 @t14 @t28)) % 0.44/0.88 (define @t30 () (tptp.finite @t2)) % 0.44/0.88 (define @t31 () (tptp.powerset @t1)) % 0.44/0.88 (define @t32 () (tptp.element @t2 @t31)) % 0.44/0.88 (define @t33 () (tptp.one_to_one @t1)) % 0.44/0.88 (define @t34 () (and @t22 @t18 @t33)) % 0.44/0.88 (define @t35 () (and @t22 @t17 @t18)) % 0.44/0.88 (define @t36 () (and @t20 @t19 @t14)) % 0.44/0.88 (define @t37 () (tptp.unordered_pair @t1 @t2)) % 0.44/0.88 (define @t38 () (tptp.set_union2 @t2 @t1)) % 0.44/0.88 (define @t39 () (tptp.set_union2 @t1 @t2)) % 0.44/0.88 (define @t40 () (tptp.set_intersection2 @t1 @t2)) % 0.44/0.88 (define @t41 () (tptp.ordinal_subset @t1 @t2)) % 0.44/0.88 (define @t42 () (and @t14 @t9)) % 0.44/0.88 (define @t43 () (@var "D" $$unsorted)) % 0.44/0.88 (define @t44 () (= @t23 @t43)) % 0.44/0.88 (define @t45 () (tptp.in @t23 @t1)) % 0.44/0.88 (define @t46 () (tptp.ordered_pair @t23 @t43)) % 0.44/0.88 (define @t47 () (tptp.in @t46 @t2)) % 0.44/0.88 (define @t48 () (@list @t23 @t43)) % 0.44/0.88 (define @t49 () (tptp.identity_relation @t1)) % 0.44/0.88 (define @t50 () (= @t2 @t49)) % 0.44/0.88 (define @t51 () (tptp.relation @t2)) % 0.44/0.88 (define @t52 () (tptp.subset @t2 @t1)) % 0.44/0.88 (define @t53 () (tptp.subset @t1 @t2)) % 0.44/0.88 (define @t54 () (= @t1 @t2)) % 0.44/0.88 (define @t55 () (@var "E" $$unsorted)) % 0.44/0.88 (define @t56 () (tptp.ordered_pair @t43 @t55)) % 0.44/0.88 (define @t57 () (tptp.in @t56 @t1)) % 0.44/0.88 (define @t58 () (tptp.in @t43 @t2)) % 0.44/0.88 (define @t59 () (tptp.in @t56 @t23)) % 0.44/0.88 (define @t60 () (@list @t43 @t55)) % 0.44/0.88 (define @t61 () (tptp.relation_dom_restriction @t1 @t2)) % 0.44/0.88 (define @t62 () (@list @t2 @t23)) % 0.44/0.88 (define @t63 () (tptp.in @t55 @t2)) % 0.44/0.88 (define @t64 () (tptp.relation_dom @t1)) % 0.44/0.88 (define @t65 () (@list @t55)) % 0.44/0.88 (define @t66 () (tptp.in @t43 @t23)) % 0.44/0.88 (define @t67 () (@list @t43)) % 0.44/0.88 (define @t68 () (tptp.relation_image @t1 @t2)) % 0.44/0.88 (define @t69 () (= @t23 @t68)) % 0.44/0.88 (define @t70 () (and @t22 @t18)) % 0.44/0.88 (define @t71 () (tptp.in @t55 @t1)) % 0.44/0.88 (define @t72 () (tptp.relation_rng_restriction @t1 @t2)) % 0.44/0.88 (define @t73 () (@list @t23)) % 0.44/0.88 (define @t74 () (tptp.relation_field @t1)) % 0.44/0.88 (define @t75 () (tptp.antisymmetric @t1)) % 0.44/0.88 (define @t76 () (tptp.apply @t1 @t43)) % 0.44/0.88 (define @t77 () (tptp.in @t43 @t64)) % 0.44/0.88 (define @t78 () (= @t23 (tptp.relation_inverse_image @t1 @t2))) % 0.44/0.88 (define @t79 () (tptp.ordered_pair @t55 @t43)) % 0.44/0.88 (define @t80 () (tptp.connected @t1)) % 0.44/0.88 (define @t81 () (tptp.transitive @t1)) % 0.44/0.88 (define @t82 () (not (= @t55 @t23))) % 0.44/0.88 (define @t83 () (tptp.in @t55 @t43)) % 0.44/0.88 (define @t84 () (@list @t1 @t2 @t23 @t43)) % 0.44/0.88 (define @t85 () (tptp.relation_dom @t2)) % 0.44/0.88 (define @t86 () (tptp.relation_rng @t2)) % 0.44/0.88 (define @t87 () (tptp.function @t2)) % 0.44/0.88 (define @t88 () (tptp.in (tptp.ordered_pair @t2 @t43) @t1)) % 0.44/0.88 (define @t89 () (tptp.ordered_pair @t2 @t23)) % 0.44/0.88 (define @t90 () (tptp.in @t89 @t1)) % 0.44/0.88 (define @t91 () (@list @t2 @t23 @t43)) % 0.44/0.88 (define @t92 () (= @t23 tptp.empty_set)) % 0.44/0.88 (define @t93 () (tptp.quasi_total @t23 @t1 @t2)) % 0.44/0.88 (define @t94 () (= @t1 tptp.empty_set)) % 0.44/0.88 (define @t95 () (= @t2 tptp.empty_set)) % 0.44/0.88 (define @t96 () (tptp.relation_dom_as_subset @t1 @t2 @t23)) % 0.44/0.88 (define @t97 () (tptp.relation_of2_as_subset @t23 @t1 @t2)) % 0.44/0.88 (define @t98 () (= @t2 @t23)) % 0.44/0.88 (define @t99 () (= @t1 @t46)) % 0.44/0.88 (define @t100 () (exists @t62 (= @t1 @t89))) % 0.44/0.88 (define @t101 () (tptp.singleton @t1)) % 0.44/0.88 (define @t102 () (tptp.succ @t1)) % 0.44/0.88 (define @t103 () (tptp.in @t23 @t2)) % 0.44/0.88 (define @t104 () (tptp.is_reflexive_in @t1 @t2)) % 0.44/0.88 (define @t105 () (tptp.relation_of2 @t23 @t1 @t2)) % 0.44/0.88 (define @t106 () (= @t2 (tptp.set_meet @t1))) % 0.44/0.88 (define @t107 () (tptp.in @t23 @t43)) % 0.44/0.88 (define @t108 () (tptp.in @t43 @t1)) % 0.44/0.88 (define @t109 () (not @t94)) % 0.44/0.88 (define @t110 () (= @t43 @t2)) % 0.44/0.88 (define @t111 () (tptp.subset @t23 @t43)) % 0.44/0.88 (define @t112 () (tptp.relation_field @t2)) % 0.44/0.88 (define @t113 () (tptp.inclusion_relation @t1)) % 0.44/0.88 (define @t114 () (= @t2 @t43)) % 0.44/0.88 (define @t115 () (tptp.in @t46 @t1)) % 0.44/0.88 (define @t116 () (tptp.empty @t2)) % 0.44/0.88 (define @t117 () (not @t17)) % 0.44/0.88 (define @t118 () (not @t95)) % 0.44/0.88 (define @t119 () (tptp.well_founded_relation @t1)) % 0.44/0.88 (define @t120 () (@var "F" $$unsorted)) % 0.44/0.88 (define @t121 () (tptp.ordered_pair @t55 @t120)) % 0.44/0.88 (define @t122 () (tptp.in @t120 @t2)) % 0.44/0.88 (define @t123 () (@list @t55 @t120)) % 0.44/0.88 (define @t124 () (not @t103)) % 0.44/0.88 (define @t125 () (not @t98)) % 0.44/0.88 (define @t126 () (tptp.in @t2 @t23)) % 0.44/0.88 (define @t127 () (forall @t73 (=> @t45 @t103))) % 0.44/0.88 (define @t128 () (tptp.subset @t23 @t2)) % 0.44/0.88 (define @t129 () (tptp.is_well_founded_in @t1 @t2)) % 0.44/0.88 (define @t130 () (tptp.apply @t1 @t2)) % 0.44/0.88 (define @t131 () (= @t23 @t130)) % 0.44/0.88 (define @t132 () (tptp.in @t2 @t64)) % 0.44/0.88 (define @t133 () (tptp.in (tptp.ordered_pair @t43 @t23) @t1)) % 0.44/0.88 (define @t134 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.44/0.88 (define @t135 () (tptp.cast_to_subset @t1)) % 0.44/0.88 (define @t136 () (tptp.union @t1)) % 0.44/0.88 (define @t137 () (tptp.reflexive @t1)) % 0.44/0.88 (define @t138 () (tptp.well_ordering @t1)) % 0.44/0.88 (define @t139 () (tptp.relation_rng @t23)) % 0.44/0.88 (define @t140 () (tptp.relation_dom @t23)) % 0.44/0.88 (define @t141 () (= @t140 @t1)) % 0.44/0.88 (define @t142 () (tptp.one_to_one @t23)) % 0.44/0.88 (define @t143 () (tptp.function @t23)) % 0.44/0.88 (define @t144 () (tptp.equipotent @t1 @t2)) % 0.44/0.88 (define @t145 () (tptp.set_difference @t1 @t2)) % 0.44/0.88 (define @t146 () (and @t77 (= @t23 @t76))) % 0.44/0.88 (define @t147 () (tptp.relation_rng @t1)) % 0.44/0.88 (define @t148 () (= @t2 @t147)) % 0.44/0.88 (define @t149 () (tptp.subset_complement @t1 @t2)) % 0.44/0.88 (define @t150 () (tptp.ordered_pair @t1 @t2)) % 0.44/0.88 (define @t151 () (tptp.is_connected_in @t1 @t2)) % 0.44/0.88 (define @t152 () (tptp.is_transitive_in @t1 @t2)) % 0.44/0.88 (define @t153 () (tptp.being_limit_ordinal @t1)) % 0.44/0.88 (define @t154 () (not @t44)) % 0.44/0.88 (define @t155 () (tptp.cartesian_product2 @t2 @t2)) % 0.44/0.88 (define @t156 () (tptp.relation_restriction @t1 @t2)) % 0.44/0.88 (define @t157 () (tptp.relation_inverse @t1)) % 0.44/0.88 (define @t158 () (tptp.apply @t23 @t55)) % 0.44/0.88 (define @t159 () (tptp.apply @t23 @t43)) % 0.44/0.88 (define @t160 () (tptp.relation_isomorphism @t1 @t2 @t23)) % 0.44/0.88 (define @t161 () (and @t24 @t143)) % 0.44/0.88 (define @t162 () (tptp.disjoint @t1 @t2)) % 0.44/0.88 (define @t163 () (@list @t120)) % 0.44/0.88 (define @t164 () (tptp.relation_composition @t1 @t2)) % 0.44/0.88 (define @t165 () (@list @t23 @t43 @t55)) % 0.44/0.88 (define @t166 () (tptp.complements_of_subsets @t1 @t2)) % 0.44/0.88 (define @t167 () (tptp.powerset @t31)) % 0.44/0.88 (define @t168 () (tptp.element @t2 @t167)) % 0.44/0.88 (define @t169 () (not @t54)) % 0.44/0.88 (define @t170 () (tptp.function_inverse @t1)) % 0.44/0.88 (define @t171 () (tptp.relation @t157)) % 0.44/0.88 (define @t172 () (tptp.relation @t164)) % 0.44/0.88 (define @t173 () (and @t22 @t51)) % 0.44/0.88 (define @t174 () (tptp.powerset @t2)) % 0.44/0.88 (define @t175 () (tptp.relation_rng_as_subset @t1 @t2 @t23)) % 0.44/0.88 (define @t176 () (tptp.union_of_subsets @t1 @t2)) % 0.44/0.88 (define @t177 () (tptp.relation @t49)) % 0.44/0.88 (define @t178 () (tptp.meet_of_subsets @t1 @t2)) % 0.44/0.88 (define @t179 () (tptp.subset_difference @t1 @t2 @t23)) % 0.44/0.88 (define @t180 () (tptp.element @t23 @t31)) % 0.44/0.88 (define @t181 () (and @t32 @t180)) % 0.44/0.88 (define @t182 () (tptp.relation @t61)) % 0.44/0.88 (define @t183 () (tptp.relation @t72)) % 0.44/0.88 (define @t184 () (tptp.finite @t40)) % 0.44/0.88 (define @t185 () (tptp.relation_composition @t2 @t1)) % 0.44/0.88 (define @t186 () (and @t17 @t51)) % 0.44/0.88 (define @t187 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.44/0.88 (define @t188 () (tptp.relation tptp.empty_set)) % 0.44/0.88 (define @t189 () (tptp.empty tptp.empty_set)) % 0.44/0.88 (define @t190 () (tptp.relation_empty_yielding @t1)) % 0.44/0.88 (define @t191 () (and @t22 @t190)) % 0.44/0.88 (define @t192 () (not (tptp.empty @t101))) % 0.44/0.88 (define @t193 () (not (tptp.empty @t102))) % 0.44/0.88 (define @t194 () (tptp.ordinal @t102)) % 0.44/0.88 (define @t195 () (tptp.epsilon_connected @t102)) % 0.44/0.88 (define @t196 () (tptp.epsilon_transitive @t102)) % 0.44/0.88 (define @t197 () (not @t116)) % 0.44/0.88 (define @t198 () (and @t51 @t87)) % 0.44/0.88 (define @t199 () (tptp.empty @t64)) % 0.44/0.88 (define @t200 () (and @t117 @t22)) % 0.44/0.88 (define @t201 () (tptp.empty @t147)) % 0.44/0.88 (define @t202 () (tptp.in @t2 @t74)) % 0.44/0.88 (define @t203 () (tptp.disjoint @t101 @t2)) % 0.44/0.88 (define @t204 () (not @t5)) % 0.44/0.88 (define @t205 () (tptp.well_ordering @t2)) % 0.44/0.88 (define @t206 () (tptp.in (tptp.ordered_pair @t23 @t2) @t1)) % 0.44/0.88 (define @t207 () (tptp.singleton @t23)) % 0.44/0.88 (define @t208 () (not @t90)) % 0.44/0.88 (define @t209 () (tptp.singleton @t2)) % 0.44/0.88 (define @t210 () (tptp.union @t2)) % 0.44/0.88 (define @t211 () (tptp.in @t1 @t23)) % 0.44/0.88 (define @t212 () (tptp.element @t1 @t174)) % 0.44/0.88 (define @t213 () (tptp.relation_dom_restriction @t23 @t1)) % 0.44/0.88 (define @t214 () (tptp.in @t2 (tptp.relation_dom @t213))) % 0.44/0.88 (define @t215 () (tptp.one_to_one @t2)) % 0.44/0.88 (define @t216 () (tptp.set_difference @t2 @t23)) % 0.44/0.88 (define @t217 () (@var "K" $$unsorted)) % 0.44/0.88 (define @t218 () (@var "J" $$unsorted)) % 0.44/0.88 (define @t219 () (tptp.in @t217 @t218)) % 0.44/0.88 (define @t220 () (@list @t217)) % 0.44/0.88 (define @t221 () (@list @t218)) % 0.44/0.88 (define @t222 () (= @t43 @t55)) % 0.44/0.88 (define @t223 () (@var "I" $$unsorted)) % 0.44/0.88 (define @t224 () (@var "H" $$unsorted)) % 0.44/0.88 (define @t225 () (tptp.in @t223 @t224)) % 0.44/0.88 (define @t226 () (@list @t223)) % 0.44/0.88 (define @t227 () (@list @t224)) % 0.44/0.88 (define @t228 () (exists @t227 (and (= @t23 @t224) (tptp.in @t55 @t224) (forall @t226 (=> @t225 (tptp.in (tptp.ordered_pair @t55 @t223) @t2)))))) % 0.44/0.88 (define @t229 () (@var "G" $$unsorted)) % 0.44/0.88 (define @t230 () (tptp.in @t229 @t120)) % 0.44/0.88 (define @t231 () (@list @t229)) % 0.44/0.88 (define @t232 () (exists @t163 (and (= @t23 @t120) (tptp.in @t43 @t120) (forall @t231 (=> @t230 (tptp.in (tptp.ordered_pair @t43 @t229) @t2)))))) % 0.44/0.88 (define @t233 () (forall @t165 (=> (and @t45 @t232 @t45 @t228) @t222))) % 0.44/0.88 (define @t234 () (and @t117 @t51)) % 0.44/0.88 (define @t235 () (= @t43 @t209)) % 0.44/0.88 (define @t236 () (= @t23 @t209)) % 0.44/0.88 (define @t237 () (forall @t91 (=> (and @t3 @t236 @t3 @t235) @t44))) % 0.44/0.88 (define @t238 () (tptp.ordinal @t23)) % 0.44/0.88 (define @t239 () (tptp.apply @t23 @t120)) % 0.44/0.88 (define @t240 () (tptp.in @t120 @t1)) % 0.44/0.88 (define @t241 () (tptp.relation @t43)) % 0.44/0.88 (define @t242 () (and @t51 @t24 @t143)) % 0.44/0.88 (define @t243 () (forall @t220 (=> @t219 (tptp.in (tptp.ordered_pair @t43 @t217) @t2)))) % 0.44/0.88 (define @t244 () (tptp.in @t43 @t218)) % 0.44/0.88 (define @t245 () (@var "R" $$unsorted)) % 0.44/0.88 (define @t246 () (@var "P" $$unsorted)) % 0.44/0.88 (define @t247 () (@var "Q" $$unsorted)) % 0.44/0.88 (define @t248 () (@var "O" $$unsorted)) % 0.44/0.88 (define @t249 () (= @t120 @t55)) % 0.44/0.88 (define @t250 () (tptp.cartesian_product2 @t1 @t23)) % 0.44/0.88 (define @t251 () (= @t55 @t120)) % 0.44/0.88 (define @t252 () (@var "N" $$unsorted)) % 0.44/0.88 (define @t253 () (@var "L" $$unsorted)) % 0.44/0.88 (define @t254 () (@var "M" $$unsorted)) % 0.44/0.88 (define @t255 () (@list @t252)) % 0.44/0.88 (define @t256 () (@list @t254)) % 0.44/0.88 (define @t257 () (tptp.ordered_pair @t217 @t253)) % 0.44/0.88 (define @t258 () (@list @t217 @t253)) % 0.44/0.88 (define @t259 () (= @t43 @t120)) % 0.44/0.88 (define @t260 () (tptp.in @t229 @t1)) % 0.44/0.88 (define @t261 () (tptp.ordered_pair @t229 @t224)) % 0.44/0.88 (define @t262 () (@list @t229 @t224)) % 0.44/0.88 (define @t263 () (@list @t43 @t55 @t120)) % 0.44/0.88 (define @t264 () (= @t55 @t43)) % 0.44/0.88 (define @t265 () (tptp.in @t224 @t1)) % 0.44/0.88 (define @t266 () (= @t23 @t55)) % 0.44/0.88 (define @t267 () (tptp.ordered_pair @t120 @t229)) % 0.44/0.88 (define @t268 () (@list @t120 @t229)) % 0.44/0.88 (define @t269 () (tptp.subset @t248 @t246)) % 0.44/0.88 (define @t270 () (tptp.in @t246 @t252)) % 0.44/0.88 (define @t271 () (and @t270 @t269)) % 0.44/0.88 (define @t272 () (=> @t271 (= @t246 @t248))) % 0.44/0.88 (define @t273 () (@list @t246)) % 0.44/0.88 (define @t274 () (forall @t273 @t272)) % 0.44/0.88 (define @t275 () (tptp.in @t248 @t252)) % 0.44/0.88 (define @t276 () (and @t275 @t274)) % 0.44/0.88 (define @t277 () (not @t276)) % 0.44/0.88 (define @t278 () (@list @t248)) % 0.44/0.88 (define @t279 () (forall @t278 @t277)) % 0.44/0.88 (define @t280 () (not (= @t252 tptp.empty_set))) % 0.44/0.88 (define @t281 () (and @t280 @t279)) % 0.44/0.88 (define @t282 () (not @t281)) % 0.44/0.88 (define @t283 () (tptp.element @t252 (tptp.powerset (tptp.powerset @t254)))) % 0.44/0.88 (define @t284 () (=> @t283 @t282)) % 0.44/0.88 (define @t285 () (forall @t255 @t284)) % 0.44/0.88 (define @t286 () (tptp.in @t254 tptp.omega)) % 0.44/0.88 (define @t287 () (=> @t286 @t285)) % 0.44/0.88 (define @t288 () (= @t23 @t254)) % 0.44/0.88 (define @t289 () (tptp.ordinal @t254)) % 0.44/0.88 (define @t290 () (and @t289 @t288 @t287)) % 0.44/0.88 (define @t291 () (exists @t256 @t290)) % 0.44/0.88 (define @t292 () (= @t43 @t23)) % 0.44/0.88 (define @t293 () (tptp.in @t43 @t102)) % 0.44/0.88 (define @t294 () (and @t293 @t292 @t291)) % 0.44/0.88 (define @t295 () (exists @t67 @t294)) % 0.44/0.88 (define @t296 () (= @t103 @t295)) % 0.44/0.88 (define @t297 () (forall @t73 @t296)) % 0.44/0.88 (define @t298 () (exists @t13 @t297)) % 0.44/0.88 (define @t299 () (tptp.subset @t217 @t253)) % 0.44/0.88 (define @t300 () (tptp.in @t253 @t218)) % 0.44/0.88 (define @t301 () (and @t300 @t299)) % 0.44/0.88 (define @t302 () (=> @t301 (= @t253 @t217))) % 0.44/0.88 (define @t303 () (@list @t253)) % 0.44/0.88 (define @t304 () (forall @t303 @t302)) % 0.44/0.88 (define @t305 () (and @t219 @t304)) % 0.44/0.88 (define @t306 () (not @t305)) % 0.44/0.88 (define @t307 () (forall @t220 @t306)) % 0.44/0.88 (define @t308 () (not (= @t218 tptp.empty_set))) % 0.44/0.88 (define @t309 () (and @t308 @t307)) % 0.44/0.88 (define @t310 () (not @t309)) % 0.44/0.88 (define @t311 () (tptp.element @t218 (tptp.powerset (tptp.powerset @t223)))) % 0.44/0.88 (define @t312 () (=> @t311 @t310)) % 0.44/0.88 (define @t313 () (forall @t221 @t312)) % 0.44/0.88 (define @t314 () (tptp.in @t223 tptp.omega)) % 0.44/0.88 (define @t315 () (=> @t314 @t313)) % 0.44/0.88 (define @t316 () (= @t43 @t223)) % 0.44/0.88 (define @t317 () (tptp.ordinal @t223)) % 0.44/0.88 (define @t318 () (and @t317 @t316 @t315)) % 0.44/0.88 (define @t319 () (exists @t226 @t318)) % 0.44/0.88 (define @t320 () (tptp.subset @t229 @t224)) % 0.44/0.88 (define @t321 () (tptp.in @t224 @t120)) % 0.44/0.88 (define @t322 () (and @t321 @t320)) % 0.44/0.88 (define @t323 () (=> @t322 (= @t224 @t229))) % 0.44/0.88 (define @t324 () (forall @t227 @t323)) % 0.44/0.88 (define @t325 () (and @t230 @t324)) % 0.44/0.88 (define @t326 () (not @t325)) % 0.44/0.88 (define @t327 () (forall @t231 @t326)) % 0.44/0.88 (define @t328 () (not (= @t120 tptp.empty_set))) % 0.44/0.88 (define @t329 () (and @t328 @t327)) % 0.44/0.88 (define @t330 () (not @t329)) % 0.44/0.88 (define @t331 () (tptp.element @t120 (tptp.powerset (tptp.powerset @t55)))) % 0.44/0.88 (define @t332 () (=> @t331 @t330)) % 0.44/0.88 (define @t333 () (forall @t163 @t332)) % 0.44/0.88 (define @t334 () (tptp.in @t55 tptp.omega)) % 0.44/0.88 (define @t335 () (=> @t334 @t333)) % 0.44/0.88 (define @t336 () (tptp.ordinal @t55)) % 0.44/0.88 (define @t337 () (and @t336 @t266 @t335)) % 0.44/0.88 (define @t338 () (exists @t65 @t337)) % 0.44/0.88 (define @t339 () (and @t98 @t338 @t114 @t319)) % 0.44/0.88 (define @t340 () (=> @t339 @t44)) % 0.44/0.88 (define @t341 () (forall @t91 @t340)) % 0.44/0.88 (define @t342 () (=> @t341 @t298)) % 0.44/0.88 (define @t343 () (=> @t14 @t342)) % 0.44/0.88 (define @t344 () (forall @t15 @t343)) % 0.44/0.88 (define @t345 () (and @t14 (tptp.element @t2 (tptp.powerset (tptp.powerset @t102))))) % 0.44/0.88 (define @t346 () (tptp.cartesian_product2 @t1 @t1)) % 0.44/0.88 (define @t347 () (tptp.apply @t23 @t229)) % 0.44/0.88 (define @t348 () (tptp.ordinal @t43)) % 0.44/0.88 (define @t349 () (tptp.in (tptp.relation_image @t23 @t55) @t2)) % 0.44/0.88 (define @t350 () (tptp.powerset @t140)) % 0.44/0.88 (define @t351 () (and @t168 @t24 @t143)) % 0.44/0.88 (define @t352 () (tptp.succ @t2)) % 0.44/0.88 (define @t353 () (tptp.subset @t120 @t229)) % 0.44/0.88 (define @t354 () (tptp.in @t229 @t55)) % 0.44/0.88 (define @t355 () (and @t354 @t353)) % 0.44/0.88 (define @t356 () (=> @t355 (= @t229 @t120))) % 0.44/0.88 (define @t357 () (forall @t231 @t356)) % 0.44/0.88 (define @t358 () (tptp.in @t120 @t55)) % 0.44/0.88 (define @t359 () (and @t358 @t357)) % 0.44/0.88 (define @t360 () (not @t359)) % 0.44/0.88 (define @t361 () (forall @t163 @t360)) % 0.44/0.88 (define @t362 () (= @t55 tptp.empty_set)) % 0.44/0.88 (define @t363 () (not @t362)) % 0.44/0.88 (define @t364 () (and @t363 @t361)) % 0.44/0.88 (define @t365 () (not @t364)) % 0.44/0.88 (define @t366 () (tptp.powerset (tptp.powerset @t43))) % 0.44/0.88 (define @t367 () (tptp.element @t55 @t366)) % 0.44/0.88 (define @t368 () (=> @t367 @t365)) % 0.44/0.88 (define @t369 () (forall @t65 @t368)) % 0.44/0.88 (define @t370 () (tptp.in @t43 tptp.omega)) % 0.44/0.88 (define @t371 () (=> @t370 @t369)) % 0.44/0.88 (define @t372 () (and @t348 @t44 @t371)) % 0.44/0.88 (define @t373 () (exists @t67 @t372)) % 0.44/0.88 (define @t374 () (tptp.in @t23 @t102)) % 0.44/0.88 (define @t375 () (and @t374 @t373)) % 0.44/0.88 (define @t376 () (= @t103 @t375)) % 0.44/0.88 (define @t377 () (forall @t73 @t376)) % 0.44/0.88 (define @t378 () (exists @t13 @t377)) % 0.44/0.88 (define @t379 () (=> @t14 @t378)) % 0.44/0.88 (define @t380 () (forall @t15 @t379)) % 0.44/0.88 (define @t381 () (not @t380)) % 0.44/0.88 (define @t382 () (tptp.apply @t2 @t23)) % 0.44/0.88 (define @t383 () (= @t85 @t1)) % 0.44/0.88 (define @t384 () (exists @t13 (and @t51 @t87 @t383 (forall @t73 (=> @t45 (= @t382 @t207)))))) % 0.44/0.88 (define @t385 () (= @t1 @t23)) % 0.44/0.88 (define @t386 () (tptp.relation_rng @t72)) % 0.44/0.88 (define @t387 () (forall @t73 (not (and @t128 (not (tptp.are_equipotent @t23 @t2)) @t124)))) % 0.44/0.88 (define @t388 () (tptp.powerset @t23)) % 0.44/0.88 (define @t389 () (forall @t48 (=> (and @t103 (tptp.subset @t43 @t23)) @t58))) % 0.44/0.88 (define @t390 () (tptp.relation_dom_restriction @t23 @t2)) % 0.44/0.88 (define @t391 () (tptp.relation_image @t2 @t1)) % 0.44/0.88 (define @t392 () (tptp.relation_inverse_image @t2 @t1)) % 0.44/0.88 (define @t393 () (tptp.relation_image @t2 @t392)) % 0.44/0.88 (define @t394 () (tptp.set_intersection2 @t85 @t1)) % 0.44/0.88 (define @t395 () (tptp.subset @t1 @t86)) % 0.44/0.88 (define @t396 () (tptp.relation_of2_as_subset @t43 @t23 @t2)) % 0.44/0.88 (define @t397 () (tptp.relation_rng @t43)) % 0.44/0.88 (define @t398 () (tptp.relation_of2_as_subset @t43 @t23 @t1)) % 0.44/0.88 (define @t399 () (tptp.relation_rng @t164)) % 0.44/0.88 (define @t400 () (tptp.relation_inverse_image @t23 @t2)) % 0.44/0.88 (define @t401 () (tptp.relation_restriction @t23 @t2)) % 0.44/0.88 (define @t402 () (tptp.relation_restriction @t2 @t1)) % 0.44/0.88 (define @t403 () (tptp.relation_dom_restriction @t2 @t1)) % 0.44/0.88 (define @t404 () (tptp.relation_field @t23)) % 0.44/0.88 (define @t405 () (tptp.in @t1 @t404)) % 0.44/0.88 (define @t406 () (tptp.set_intersection2 @t2 @t23)) % 0.44/0.88 (define @t407 () (tptp.subset @t1 @t23)) % 0.44/0.88 (define @t408 () (tptp.element @t1 @t2)) % 0.44/0.88 (define @t409 () (tptp.subset @t2 @t23)) % 0.44/0.88 (define @t410 () (tptp.in @t1 @t140)) % 0.44/0.88 (define @t411 () (tptp.in @t150 @t23)) % 0.44/0.88 (define @t412 () (tptp.relation_field @t402)) % 0.44/0.88 (define @t413 () (tptp.apply @t23 @t1)) % 0.44/0.88 (define @t414 () (tptp.relation_composition @t23 @t2)) % 0.44/0.88 (define @t415 () (tptp.in @t1 (tptp.relation_dom @t414))) % 0.44/0.88 (define @t416 () (tptp.apply @t43 @t23)) % 0.44/0.88 (define @t417 () (tptp.function @t43)) % 0.44/0.88 (define @t418 () (and @t417 (tptp.quasi_total @t43 @t1 @t2) (tptp.relation_of2_as_subset @t43 @t1 @t2))) % 0.44/0.88 (define @t419 () (tptp.reflexive @t2)) % 0.44/0.88 (define @t420 () (tptp.connected @t2)) % 0.44/0.88 (define @t421 () (tptp.transitive @t2)) % 0.44/0.88 (define @t422 () (tptp.antisymmetric @t2)) % 0.44/0.88 (define @t423 () (tptp.well_ordering @t402)) % 0.44/0.88 (define @t424 () (= @t412 @t1)) % 0.44/0.88 (define @t425 () (tptp.well_orders @t2 @t1)) % 0.44/0.88 (define @t426 () (tptp.well_founded_relation @t2)) % 0.44/0.88 (define @t427 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.44/0.88 (define @t428 () (and @t45 @t103)) % 0.44/0.88 (define @t429 () (not @t162)) % 0.44/0.88 (define @t430 () (= @t1 @t352)) % 0.44/0.88 (define @t431 () (tptp.subset_complement @t1 @t23)) % 0.44/0.88 (define @t432 () (tptp.disjoint @t2 @t23)) % 0.44/0.88 (define @t433 () (tptp.relation_dom @t164)) % 0.44/0.88 (define @t434 () (tptp.element @t2 @t388)) % 0.44/0.88 (define @t435 () (tptp.in @t23 @t40)) % 0.44/0.88 (define @t436 () (and (tptp.in @t23 @t147) (= @t43 @t382))) % 0.44/0.88 (define @t437 () (tptp.function_inverse @t2)) % 0.44/0.88 (define @t438 () (= @t147 tptp.empty_set)) % 0.44/0.88 (define @t439 () (= @t64 tptp.empty_set)) % 0.44/0.88 (define @t440 () (= (tptp.apply @t213 @t2) (tptp.apply @t23 @t2))) % 0.44/0.88 (define @t441 () (= @t101 (tptp.unordered_pair @t2 @t23))) % 0.44/0.88 (define @t442 () (= @t248 @t246)) % 0.44/0.88 (define @t443 () (not @t269)) % 0.44/0.88 (define @t444 () (not @t270)) % 0.44/0.88 (define @t445 () (or @t444 @t443 @t442)) % 0.44/0.88 (define @t446 () (forall @t273 @t445)) % 0.44/0.88 (define @t447 () (forall @t278 (or (not @t275) (not @t446)))) % 0.44/0.88 (define @t448 () (not @t447)) % 0.44/0.88 (define @t449 () (= tptp.empty_set @t252)) % 0.44/0.88 (define @t450 () (tptp.powerset @t388)) % 0.44/0.88 (define @t451 () (forall @t255 (or (not (tptp.element @t252 @t450)) @t449 @t448))) % 0.44/0.88 (define @t452 () (tptp.in @t23 tptp.omega)) % 0.44/0.88 (define @t453 () (not @t452)) % 0.44/0.88 (define @t454 () (forall @t73 (= @t103 (and @t238 (or @t453 @t451) @t374)))) % 0.44/0.88 (define @t455 () (not (forall @t13 (not @t454)))) % 0.44/0.88 (define @t456 () (not @t451)) % 0.44/0.88 (define @t457 () (and @t452 @t456)) % 0.44/0.88 (define @t458 () (not @t457)) % 0.44/0.88 (define @t459 () (not @t374)) % 0.44/0.88 (define @t460 () (not @t459)) % 0.44/0.88 (define @t461 () (not @t238)) % 0.44/0.88 (define @t462 () (not @t461)) % 0.44/0.88 (define @t463 () (and @t462 @t458 @t460)) % 0.44/0.88 (define @t464 () (= @t103 (not (or @t461 @t457 @t459)))) % 0.44/0.88 (define @t465 () (not (= @t23 @t23))) % 0.44/0.88 (define @t466 () (or @t459 @t465)) % 0.44/0.88 (define @t467 () (not @t293)) % 0.44/0.88 (define @t468 () (not @t292)) % 0.44/0.88 (define @t469 () (or @t154 @t467 @t154)) % 0.44/0.88 (define @t470 () (or @t467 @t154)) % 0.44/0.88 (define @t471 () (forall @t67 @t470)) % 0.44/0.88 (define @t472 () (or @t461 @t457 @t471)) % 0.44/0.88 (define @t473 () (or @t461 @t457 @t470)) % 0.44/0.88 (define @t474 () (or @t467 @t154 @t461 @t457)) % 0.44/0.88 (define @t475 () (or @t461 @t457)) % 0.44/0.88 (define @t476 () (not @t475)) % 0.44/0.88 (define @t477 () (not @t476)) % 0.44/0.88 (define @t478 () (or @t467 @t154 @t477)) % 0.44/0.88 (define @t479 () (and @t293 @t44 @t476)) % 0.44/0.88 (define @t480 () (forall @t67 (not @t479))) % 0.44/0.88 (define @t481 () (not @t480)) % 0.44/0.88 (define @t482 () (or @t461 @t465 @t457)) % 0.44/0.88 (define @t483 () (not @t283)) % 0.44/0.88 (define @t484 () (or @t483 @t449 @t448)) % 0.44/0.88 (define @t485 () (forall @t255 @t484)) % 0.44/0.88 (define @t486 () (and @t286 (not @t485))) % 0.44/0.88 (define @t487 () (not @t288)) % 0.44/0.88 (define @t488 () (not @t289)) % 0.44/0.88 (define @t489 () (or @t487 @t488 @t487 @t486)) % 0.44/0.88 (define @t490 () (or @t488 @t487 @t486)) % 0.44/0.88 (define @t491 () (=> @t286 @t485)) % 0.44/0.88 (define @t492 () (not @t491)) % 0.44/0.88 (define @t493 () (or @t488 @t487 @t492)) % 0.44/0.88 (define @t494 () (and @t289 @t288 @t491)) % 0.44/0.88 (define @t495 () (forall @t256 (not @t494))) % 0.44/0.88 (define @t496 () (not @t495)) % 0.44/0.88 (define @t497 () (not @t449)) % 0.44/0.88 (define @t498 () (not (and @t497 @t447))) % 0.44/0.88 (define @t499 () (= @t229 @t224)) % 0.44/0.88 (define @t500 () (not @t320)) % 0.44/0.88 (define @t501 () (not @t321)) % 0.44/0.88 (define @t502 () (or @t501 @t500 @t499)) % 0.44/0.88 (define @t503 () (forall @t227 @t502)) % 0.44/0.88 (define @t504 () (forall @t231 (or (not @t230) (not @t503)))) % 0.44/0.88 (define @t505 () (not @t504)) % 0.44/0.88 (define @t506 () (= tptp.empty_set @t120)) % 0.44/0.88 (define @t507 () (and @t452 (not (forall @t163 (or (not (tptp.element @t120 @t450)) @t506 @t505))))) % 0.44/0.88 (define @t508 () (= @t217 @t253)) % 0.44/0.88 (define @t509 () (not @t299)) % 0.44/0.88 (define @t510 () (not @t300)) % 0.44/0.88 (define @t511 () (or @t510 @t509 @t508)) % 0.44/0.88 (define @t512 () (forall @t303 @t511)) % 0.44/0.88 (define @t513 () (forall @t220 (or (not @t219) (not @t512)))) % 0.44/0.88 (define @t514 () (not @t513)) % 0.44/0.88 (define @t515 () (= tptp.empty_set @t218)) % 0.44/0.88 (define @t516 () (and @t370 (not (forall @t221 (or (not (tptp.element @t218 @t366)) @t515 @t514))))) % 0.44/0.88 (define @t517 () (not @t348)) % 0.44/0.88 (define @t518 () (or @t461 @t507 @t154 @t517 @t516 @t44)) % 0.44/0.88 (define @t519 () (or @t465 @t461 @t507 @t154 @t517 @t516 @t44)) % 0.44/0.88 (define @t520 () (not @t114)) % 0.44/0.88 (define @t521 () (or @t125 @t125 @t461 @t507 @t520 @t517 @t516 @t44)) % 0.44/0.88 (define @t522 () (or @t125 @t461 @t507 @t520 @t517 @t516 @t44)) % 0.44/0.88 (define @t523 () (forall @t13 @t522)) % 0.44/0.88 (define @t524 () (forall @t48 @t523)) % 0.44/0.88 (define @t525 () (forall (@list @t23 @t43 @t2) @t522)) % 0.44/0.88 (define @t526 () (or @t125 @t461 @t507 @t520 @t517 @t516)) % 0.44/0.88 (define @t527 () (or @t517 @t516)) % 0.44/0.88 (define @t528 () (or @t461 @t507)) % 0.44/0.88 (define @t529 () (not @t527)) % 0.44/0.88 (define @t530 () (not @t529)) % 0.44/0.88 (define @t531 () (not @t528)) % 0.44/0.88 (define @t532 () (not @t531)) % 0.44/0.88 (define @t533 () (or @t125 @t532 @t520 @t530)) % 0.44/0.88 (define @t534 () (and @t98 @t531 @t114 @t529)) % 0.44/0.88 (define @t535 () (not (= @t43 @t43))) % 0.44/0.88 (define @t536 () (or @t517 @t535 @t516)) % 0.44/0.88 (define @t537 () (not @t311)) % 0.44/0.88 (define @t538 () (or @t537 @t515 @t514)) % 0.44/0.88 (define @t539 () (forall @t221 @t538)) % 0.44/0.88 (define @t540 () (and @t314 (not @t539))) % 0.44/0.88 (define @t541 () (not @t316)) % 0.44/0.88 (define @t542 () (not @t317)) % 0.44/0.88 (define @t543 () (or @t541 @t542 @t541 @t540)) % 0.44/0.88 (define @t544 () (or @t542 @t541 @t540)) % 0.44/0.88 (define @t545 () (=> @t314 @t539)) % 0.44/0.88 (define @t546 () (not @t545)) % 0.44/0.88 (define @t547 () (or @t542 @t541 @t546)) % 0.44/0.88 (define @t548 () (and @t317 @t316 @t545)) % 0.44/0.88 (define @t549 () (forall @t226 (not @t548))) % 0.44/0.88 (define @t550 () (not @t549)) % 0.44/0.88 (define @t551 () (not @t515)) % 0.44/0.88 (define @t552 () (not (and @t551 @t513))) % 0.44/0.88 (define @t553 () (or @t461 @t465 @t507)) % 0.44/0.88 (define @t554 () (not @t331)) % 0.44/0.88 (define @t555 () (or @t554 @t506 @t505)) % 0.44/0.88 (define @t556 () (forall @t163 @t555)) % 0.44/0.88 (define @t557 () (and @t334 (not @t556))) % 0.44/0.88 (define @t558 () (not @t266)) % 0.44/0.88 (define @t559 () (not @t336)) % 0.44/0.88 (define @t560 () (or @t558 @t559 @t558 @t557)) % 0.44/0.88 (define @t561 () (or @t559 @t558 @t557)) % 0.44/0.88 (define @t562 () (=> @t334 @t556)) % 0.44/0.88 (define @t563 () (not @t562)) % 0.44/0.88 (define @t564 () (or @t559 @t558 @t563)) % 0.44/0.88 (define @t565 () (and @t336 @t266 @t562)) % 0.44/0.88 (define @t566 () (forall @t65 (not @t565))) % 0.44/0.88 (define @t567 () (not @t566)) % 0.44/0.88 (define @t568 () (not @t506)) % 0.44/0.88 (define @t569 () (not (and @t568 @t504))) % 0.44/0.88 (define @t570 () (= @t120 @t229)) % 0.44/0.88 (define @t571 () (not @t353)) % 0.44/0.88 (define @t572 () (not @t354)) % 0.44/0.88 (define @t573 () (or @t572 @t571 @t570)) % 0.44/0.88 (define @t574 () (forall @t231 @t573)) % 0.44/0.88 (define @t575 () (forall @t163 (or (not @t358) (not @t574)))) % 0.44/0.88 (define @t576 () (not @t575)) % 0.44/0.88 (define @t577 () (not (tptp.element @t55 @t450))) % 0.44/0.88 (define @t578 () (forall @t65 (or @t577 @t362 @t576))) % 0.44/0.88 (define @t579 () (or @t453 @t578)) % 0.44/0.88 (define @t580 () (and @t374 @t238 @t579)) % 0.44/0.88 (define @t581 () (and @t238 @t579 @t374)) % 0.44/0.88 (define @t582 () (= @t103 @t581)) % 0.44/0.88 (define @t583 () (forall @t73 @t582)) % 0.44/0.88 (define @t584 () (not @t583)) % 0.44/0.88 (define @t585 () (forall @t13 @t584)) % 0.44/0.88 (define @t586 () (not @t585)) % 0.44/0.88 (define @t587 () (not @t14)) % 0.44/0.88 (define @t588 () (or @t587 @t586)) % 0.44/0.88 (define @t589 () (forall @t15 @t588)) % 0.44/0.88 (define @t590 () (forall @t73 (= @t103 @t580))) % 0.44/0.88 (define @t591 () (not (forall @t13 (not @t590)))) % 0.44/0.88 (define @t592 () (forall @t15 (or @t587 @t591))) % 0.44/0.88 (define @t593 () (or @t577 (= tptp.empty_set @t55) @t576)) % 0.44/0.88 (define @t594 () (forall @t65 @t593)) % 0.44/0.88 (define @t595 () (or @t453 @t594)) % 0.44/0.88 (define @t596 () (and @t238 @t595 @t374)) % 0.44/0.88 (define @t597 () (= @t103 @t596)) % 0.44/0.88 (define @t598 () (forall @t73 @t597)) % 0.44/0.88 (define @t599 () (not @t598)) % 0.44/0.88 (define @t600 () (forall @t13 @t599)) % 0.44/0.88 (define @t601 () (not @t600)) % 0.44/0.88 (define @t602 () (or @t587 @t601)) % 0.44/0.88 (define @t603 () (forall @t15 @t602)) % 0.44/0.88 (define @t604 () (@var "BOUND_VARIABLE_17178" $$unsorted)) % 0.44/0.88 (define @t605 () (@var "BOUND_VARIABLE_17180" $$unsorted)) % 0.44/0.88 (define @t606 () (@var "BOUND_VARIABLE_17183" $$unsorted)) % 0.44/0.88 (define @t607 () (@var "BOUND_VARIABLE_17182" $$unsorted)) % 0.44/0.88 (define @t608 () (@var "BOUND_VARIABLE_17181" $$unsorted)) % 0.44/0.88 (define @t609 () (@var "BOUND_VARIABLE_17179" $$unsorted)) % 0.44/0.88 (define @t610 () (@list @t604 @t609 @t605 @t608 @t607 @t606)) % 0.44/0.88 (define @t611 () (forall @t15 (or @t587 @t455))) % 0.44/0.88 (define @t612 () (@list false)) % 0.44/0.88 (define @t613 () (not @t578)) % 0.44/0.88 (define @t614 () (and @t452 @t613)) % 0.44/0.88 (define @t615 () (not @t614)) % 0.44/0.88 (define @t616 () (or @t461 @t614)) % 0.44/0.88 (define @t617 () (and @t374 (not @t616))) % 0.44/0.88 (define @t618 () (= @t103 @t617)) % 0.44/0.88 (define @t619 () (or @t461 @t465 @t614)) % 0.44/0.88 (define @t620 () (not @t367)) % 0.44/0.88 (define @t621 () (or @t620 @t362 @t576)) % 0.44/0.88 (define @t622 () (forall @t65 @t621)) % 0.44/0.88 (define @t623 () (and @t370 (not @t622))) % 0.44/0.88 (define @t624 () (or @t154 @t517 @t154 @t623)) % 0.44/0.88 (define @t625 () (or @t517 @t154 @t623)) % 0.44/0.88 (define @t626 () (=> @t370 @t622)) % 0.44/0.88 (define @t627 () (not @t626)) % 0.44/0.88 (define @t628 () (or @t517 @t154 @t627)) % 0.44/0.88 (define @t629 () (and @t348 @t44 @t626)) % 0.44/0.88 (define @t630 () (forall @t67 (not @t629))) % 0.44/0.88 (define @t631 () (not @t630)) % 0.44/0.88 (define @t632 () (not (and @t363 @t575))) % 0.44/0.88 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.44/0.88 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.44/0.88 (assume @p3 (forall @t15 (=> @t14 (forall @t13 (=> @t12 (and @t11 @t10 @t9)))))) % 0.44/0.88 (assume @p4 (forall @t15 (=> @t17 @t16))) % 0.44/0.88 (assume @p5 (forall @t15 (=> @t17 @t18))) % 0.44/0.88 (assume @p6 (forall @t15 (=> @t14 @t21))) % 0.44/0.88 (assume @p7 (forall @t15 (=> @t17 @t22))) % 0.44/0.88 (assume @p8 (forall @t27 (=> @t26 @t24))) % 0.44/0.88 (assume @p9 (forall @t15 (=> (and @t17 @t14) @t29))) % 0.44/0.88 (assume @p10 (forall @t15 (=> @t16 (forall @t13 (=> @t32 @t30))))) % 0.44/0.88 (assume @p11 (forall @t15 (=> @t35 @t34))) % 0.44/0.88 (assume @p12 (forall @t15 (=> @t21 @t14))) % 0.44/0.88 (assume @p13 (forall @t15 (=> (tptp.element @t1 tptp.omega) @t29))) % 0.44/0.88 (assume @p14 (forall @t15 (=> @t17 @t36))) % 0.44/0.88 (assume @p15 (forall @t6 (= @t37 (tptp.unordered_pair @t2 @t1)))) % 0.44/0.88 (assume @p16 (forall @t6 (= @t39 @t38))) % 0.44/0.88 (assume @p17 (forall @t6 (= @t40 (tptp.set_intersection2 @t2 @t1)))) % 0.44/0.88 (assume @p18 (forall @t6 (=> @t42 (or @t41 (tptp.ordinal_subset @t2 @t1))))) % 0.44/0.88 (assume @p19 (forall @t6 (=> @t51 (= @t50 (forall @t48 (= @t47 (and @t45 @t44))))))) % 0.44/0.88 (assume @p20 (forall @t6 (= @t54 (and @t53 @t52)))) % 0.44/0.88 (assume @p21 (forall @t15 (=> @t22 (forall @t62 (=> @t24 (= (= @t23 @t61) (forall @t60 (= @t59 (and @t58 @t57))))))))) % 0.44/0.88 (assume @p22 (forall @t15 (=> @t70 (forall @t62 (= @t69 (forall @t67 (= @t66 (exists @t65 (and (tptp.in @t55 @t64) @t63 (= @t43 (tptp.apply @t1 @t55))))))))))) % 0.44/0.88 (assume @p23 (forall @t6 (=> @t51 (forall @t73 (=> @t24 (= (= @t23 @t72) (forall @t60 (= @t59 (and @t71 (tptp.in @t56 @t2)))))))))) % 0.44/0.88 (assume @p24 (forall @t15 (=> @t22 (= @t75 (tptp.is_antisymmetric_in @t1 @t74))))) % 0.44/0.88 (assume @p25 (forall @t15 (=> @t70 (forall @t62 (= @t78 (forall @t67 (= @t66 (and @t77 (tptp.in @t76 @t2))))))))) % 0.44/0.88 (assume @p26 (forall @t15 (=> @t22 (forall @t62 (= @t69 (forall @t67 (= @t66 (exists @t65 (and (tptp.in @t79 @t1) @t63))))))))) % 0.44/0.88 (assume @p27 (forall @t15 (=> @t22 (forall @t62 (= @t78 (forall @t67 (= @t66 (exists @t65 (and @t57 @t63))))))))) % 0.44/0.88 (assume @p28 (forall @t15 (=> @t22 (= @t80 (tptp.is_connected_in @t1 @t74))))) % 0.44/0.88 (assume @p29 (forall @t15 (=> @t22 (= @t81 (tptp.is_transitive_in @t1 @t74))))) % 0.44/0.88 (assume @p30 (forall @t84 (= (= @t43 (tptp.unordered_triple @t1 @t2 @t23)) (forall @t65 (= @t83 (not (and (not (= @t55 @t1)) (not (= @t55 @t2)) @t82))))))) % 0.44/0.88 (assume @p31 (forall @t15 (= @t16 (exists @t13 (and @t51 @t87 (= @t86 @t1) (tptp.in @t85 tptp.omega)))))) % 0.44/0.88 (assume @p32 (forall @t15 (= @t18 (forall @t91 (=> (and @t90 @t88) @t44))))) % 0.44/0.88 (assume @p33 (forall @t27 (=> @t97 (and (=> (=> @t95 @t94) (= @t93 (= @t1 @t96))) (=> @t95 (or @t94 (= @t93 @t92))))))) % 0.44/0.88 (assume @p34 (forall @t15 (=> @t100 (forall @t13 (= (= @t2 (tptp.pair_first @t1)) (forall @t48 (=> @t99 @t98))))))) % 0.44/0.88 (assume @p35 (forall @t15 (= @t102 (tptp.set_union2 @t1 @t101)))) % 0.44/0.88 (assume @p36 (forall @t15 (= @t22 (forall @t13 (not (and @t3 (forall @t48 (not (= @t2 @t46))))))))) % 0.44/0.88 (assume @p37 (forall @t15 (=> @t22 (forall @t13 (= @t104 (forall @t73 (=> @t103 (tptp.in (tptp.ordered_pair @t23 @t23) @t1)))))))) % 0.44/0.88 (assume @p38 (forall @t27 (= @t105 (tptp.subset @t23 @t25)))) % 0.44/0.88 (assume @p39 (forall @t6 (and (=> @t109 (= @t106 (forall @t73 (= @t103 (forall @t67 (=> @t108 @t107)))))) (=> @t94 (= @t106 @t95))))) % 0.44/0.88 (assume @p40 (forall @t6 (= (= @t2 @t101) (forall @t73 (= @t103 (= @t23 @t1)))))) % 0.44/0.88 (assume @p41 (forall @t15 (=> @t22 (forall @t62 (= (= @t23 (tptp.fiber @t1 @t2)) (forall @t67 (= @t66 (and (not @t110) (tptp.in (tptp.ordered_pair @t43 @t2) @t1))))))))) % 0.44/0.88 (assume @p42 (forall @t6 (=> @t51 (= (= @t2 @t113) (and (= @t112 @t1) (forall @t48 (=> (and @t45 @t108) (= @t47 @t111)))))))) % 0.44/0.88 (assume @p43 (forall @t15 (= @t94 (forall @t13 @t4)))) % 0.44/0.88 (assume @p44 (forall @t6 (= (= @t2 @t31) (forall @t73 (= @t103 (tptp.subset @t23 @t1)))))) % 0.44/0.88 (assume @p45 (forall @t15 (=> @t100 (forall @t13 (= (= @t2 (tptp.pair_second @t1)) (forall @t48 (=> @t99 @t114))))))) % 0.44/0.88 (assume @p46 (forall @t15 (= @t20 (forall @t13 (=> @t3 @t52))))) % 0.44/0.88 (assume @p47 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (= @t54 (forall @t48 (= @t115 @t47)))))))) % 0.44/0.88 (assume @p48 (forall @t6 (and (=> @t117 (= @t12 @t3)) (=> @t17 (= @t12 @t116))))) % 0.44/0.88 (assume @p49 (forall @t27 (= (= @t23 @t37) (forall @t67 (= @t66 (or (= @t43 @t1) @t110)))))) % 0.44/0.88 (assume @p50 (forall @t15 (=> @t22 (= @t119 (forall @t13 (not (and (tptp.subset @t2 @t74) @t118 (forall @t73 (not (and @t103 (tptp.disjoint (tptp.fiber @t1 @t23) @t2))))))))))) % 0.44/0.88 (assume @p51 (forall @t27 (= (= @t23 @t39) (forall @t67 (= @t66 (or @t108 @t58)))))) % 0.44/0.88 (assume @p52 (forall @t27 (= (= @t23 @t25) (forall @t67 (= @t66 (exists @t123 (and @t71 @t122 (= @t43 @t121)))))))) % 0.44/0.88 (assume @p53 (forall @t15 (= @t19 (forall @t62 (not (and @t3 @t45 (not @t126) @t125 @t124)))))) % 0.44/0.88 (assume @p54 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (= @t53 (forall @t48 (=> @t115 @t47)))))))) % 0.44/0.88 (assume @p55 (forall @t6 (= @t53 @t127))) % 0.44/0.88 (assume @p56 (forall @t15 (=> @t22 (forall @t13 (= @t129 (forall @t73 (not (and @t128 (not @t92) (forall @t67 (not (and @t66 (tptp.disjoint (tptp.fiber @t1 @t43) @t23)))))))))))) % 0.44/0.88 (assume @p57 (forall @t27 (= (= @t23 @t40) (forall @t67 (= @t66 (and @t108 @t58)))))) % 0.44/0.88 (assume @p58 (forall @t15 (=> @t70 (forall @t62 (and (=> @t132 (= @t131 @t90)) (=> (not @t132) (= @t131 @t92))))))) % 0.44/0.88 (assume @p59 (forall @t15 (= @t14 @t21))) % 0.44/0.88 (assume @p60 (forall @t15 (=> @t22 (forall @t13 (= (= @t2 @t64) (forall @t73 (= @t103 (exists @t67 @t115)))))))) % 0.44/0.88 (assume @p61 (forall @t15 (=> @t22 (forall @t13 (= @t134 (forall @t48 (=> (and @t103 @t58 @t115 @t133) @t44))))))) % 0.44/0.88 (assume @p62 (forall @t15 (= @t135 @t1))) % 0.44/0.88 (assume @p63 (forall @t6 (= (= @t2 @t136) (forall @t73 (= @t103 (exists @t67 (and @t107 @t108))))))) % 0.44/0.88 (assume @p64 (forall @t15 (=> @t22 (= @t138 (and @t137 @t81 @t75 @t80 @t119))))) % 0.44/0.88 (assume @p65 (forall @t6 (= @t144 (exists @t73 (and @t24 @t143 @t142 @t141 (= @t139 @t2)))))) % 0.44/0.88 (assume @p66 (forall @t27 (= (= @t23 @t145) (forall @t67 (= @t66 (and @t108 (not @t58))))))) % 0.44/0.88 (assume @p67 (forall @t15 (=> @t70 (forall @t13 (= @t148 (forall @t73 (= @t103 (exists @t67 @t146)))))))) % 0.44/0.88 (assume @p68 (forall @t15 (=> @t22 (forall @t13 (= @t148 (forall @t73 (= @t103 (exists @t67 @t133)))))))) % 0.44/0.88 (assume @p69 (forall @t6 (=> @t32 (= @t149 @t145)))) % 0.44/0.88 (assume @p70 (forall @t6 (= @t150 (tptp.unordered_pair @t37 @t101)))) % 0.44/0.88 (assume @p71 (forall @t15 (=> @t22 (forall @t13 (= (tptp.well_orders @t1 @t2) (and @t104 @t152 @t134 @t151 @t129)))))) % 0.44/0.88 (assume @p72 (forall @t15 (= @t153 (= @t1 @t136)))) % 0.44/0.88 (assume @p73 (forall @t15 (=> @t22 (= @t74 (tptp.set_union2 @t64 @t147))))) % 0.44/0.88 (assume @p74 (forall @t15 (=> @t22 (forall @t13 (= @t151 (forall @t48 (not (and @t103 @t58 @t154 (not @t115) (not @t133))))))))) % 0.44/0.88 (assume @p75 (forall @t15 (=> @t22 (forall @t13 (= @t156 (tptp.set_intersection2 @t1 @t155)))))) % 0.44/0.88 (assume @p76 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (= (= @t2 @t157) (forall @t48 (= @t47 @t133)))))))) % 0.44/0.88 (assume @p77 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (forall @t73 (=> @t161 (= @t160 (and (= @t140 @t74) (= @t139 @t112) @t142 (forall @t60 (= @t57 (and (tptp.in @t43 @t74) (tptp.in @t55 @t74) (tptp.in (tptp.ordered_pair @t159 @t158) @t2))))))))))))) % 0.44/0.88 (assume @p78 (forall @t6 (= @t162 (= @t40 tptp.empty_set)))) % 0.44/0.88 (assume @p79 (forall @t15 (=> @t70 (= @t33 (forall @t62 (=> (and @t132 (tptp.in @t23 @t64) (= @t130 (tptp.apply @t1 @t23))) @t98)))))) % 0.44/0.88 (assume @p80 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (forall @t73 (=> @t24 (= (= @t23 @t164) (forall @t60 (= @t59 (exists @t163 (and (tptp.in (tptp.ordered_pair @t43 @t120) @t1) (tptp.in (tptp.ordered_pair @t120 @t55) @t2))))))))))))) % 0.44/0.88 (assume @p81 (forall @t15 (=> @t22 (forall @t13 (= @t152 (forall @t165 (=> (and @t103 @t58 @t63 @t115 @t57) (tptp.in (tptp.ordered_pair @t23 @t55) @t1)))))))) % 0.44/0.88 (assume @p82 (forall @t6 (=> @t168 (forall @t73 (=> (tptp.element @t23 @t167) (= (= @t23 @t166) (forall @t67 (=> (tptp.element @t43 @t31) (= @t66 (tptp.in (tptp.subset_complement @t1 @t43) @t2)))))))))) % 0.44/0.88 (assume @p83 (forall @t6 (= @t8 (and @t53 @t169)))) % 0.44/0.88 (assume @p84 (forall @t15 (=> @t70 (=> @t33 (= @t170 @t157))))) % 0.44/0.88 (assume @p85 (forall @t15 (=> @t22 (= @t137 (tptp.is_reflexive_in @t1 @t74))))) % 0.44/0.88 (assume @p86 true) % 0.44/0.88 (assume @p87 (forall @t15 (tptp.relation @t113))) % 0.44/0.88 (assume @p88 (forall @t15 (=> @t70 (and (tptp.relation @t170) (tptp.function @t170))))) % 0.44/0.88 (assume @p89 (forall @t15 (tptp.element @t135 @t31))) % 0.44/0.88 (assume @p90 (forall @t6 (=> @t22 (tptp.relation @t156)))) % 0.44/0.88 (assume @p91 (forall @t6 (=> @t32 (tptp.element @t149 @t31)))) % 0.44/0.88 (assume @p92 (forall @t15 (=> @t22 @t171))) % 0.44/0.88 (assume @p93 (forall @t27 (=> @t105 (tptp.element @t96 @t31)))) % 0.44/0.88 (assume @p94 (forall @t6 (=> @t173 @t172))) % 0.44/0.88 (assume @p95 (forall @t27 (=> @t105 (tptp.element @t175 @t174)))) % 0.44/0.88 (assume @p96 (forall @t6 (=> @t168 (tptp.element @t176 @t31)))) % 0.44/0.88 (assume @p97 (forall @t15 @t177)) % 0.44/0.88 (assume @p98 (forall @t6 (=> @t168 (tptp.element @t178 @t31)))) % 0.44/0.88 (assume @p99 (forall @t27 (=> @t181 (tptp.element @t179 @t31)))) % 0.44/0.88 (assume @p100 (forall @t6 (=> @t22 @t182))) % 0.44/0.88 (assume @p101 (forall @t6 (=> @t168 (tptp.element @t166 @t167)))) % 0.44/0.88 (assume @p102 (forall @t6 (=> @t51 @t183))) % 0.44/0.88 (assume @p103 (forall @t27 (=> @t97 @t26))) % 0.44/0.88 (assume @p104 (forall @t6 (exists @t73 @t105))) % 0.44/0.88 (assume @p105 (forall @t15 (exists @t13 @t12))) % 0.44/0.88 (assume @p106 (forall @t6 (exists @t73 @t97))) % 0.44/0.88 (assume @p107 (forall @t6 (=> @t30 @t184))) % 0.44/0.88 (assume @p108 (forall @t6 (=> @t186 (and (tptp.empty @t185) (tptp.relation @t185))))) % 0.44/0.88 (assume @p109 (forall @t6 (=> @t16 @t184))) % 0.44/0.88 (assume @p110 (forall @t15 (=> @t17 (and (tptp.empty @t157) @t171)))) % 0.44/0.88 (assume @p111 (forall @t6 (=> @t16 (tptp.finite @t145)))) % 0.44/0.88 (assume @p112 (and @t189 @t188 @t187)) % 0.44/0.88 (assume @p113 (forall @t6 (=> (and @t22 @t18 @t30) (tptp.finite @t68)))) % 0.44/0.88 (assume @p114 (forall @t6 (=> @t191 (and @t182 (tptp.relation_empty_yielding @t61))))) % 0.44/0.88 (assume @p115 (forall @t15 (and @t192 (tptp.finite @t101)))) % 0.44/0.88 (assume @p116 (forall @t6 (=> (and @t22 @t18 @t51 @t87) (and @t172 (tptp.function @t164))))) % 0.44/0.88 (assume @p117 (forall @t15 @t193)) % 0.44/0.88 (assume @p118 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 0.44/0.88 (assume @p119 (forall @t6 (=> @t173 (tptp.relation @t40)))) % 0.44/0.88 (assume @p120 (forall @t15 (not (tptp.empty @t31)))) % 0.44/0.88 (assume @p121 @t189) % 0.44/0.88 (assume @p122 (forall @t6 (not (tptp.empty @t150)))) % 0.44/0.88 (assume @p123 (forall @t15 (=> (and @t14 @t28) (and @t193 @t196 @t195 @t194 (tptp.natural @t102))))) % 0.44/0.88 (assume @p124 (forall @t15 (and @t177 (tptp.function @t49)))) % 0.44/0.88 (assume @p125 (and @t188 @t187 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t189 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.44/0.88 (assume @p126 (forall @t6 (=> @t173 (tptp.relation @t39)))) % 0.44/0.88 (assume @p127 (forall @t15 @t192)) % 0.44/0.88 (assume @p128 (forall @t6 (=> @t117 (not (tptp.empty @t39))))) % 0.44/0.88 (assume @p129 (forall @t15 (=> @t34 (and @t171 (tptp.function @t157))))) % 0.44/0.88 (assume @p130 (forall @t15 (=> @t14 (and @t193 @t196 @t195 @t194)))) % 0.44/0.88 (assume @p131 (forall @t6 (=> @t173 (tptp.relation @t145)))) % 0.44/0.88 (assume @p132 (forall @t6 (not (tptp.empty @t37)))) % 0.44/0.88 (assume @p133 (forall @t6 (=> @t117 (not (tptp.empty @t38))))) % 0.44/0.88 (assume @p134 (forall @t6 (=> @t70 (and @t182 (tptp.function @t61))))) % 0.44/0.88 (assume @p135 (forall @t15 (=> @t14 (and (tptp.epsilon_transitive @t136) (tptp.epsilon_connected @t136) (tptp.ordinal @t136))))) % 0.44/0.88 (assume @p136 (and @t189 @t188)) % 0.44/0.88 (assume @p137 (forall @t6 (=> (and @t117 @t197) (not (tptp.empty @t25))))) % 0.44/0.88 (assume @p138 (forall @t6 (=> @t198 (and @t183 (tptp.function @t72))))) % 0.44/0.88 (assume @p139 (forall @t15 (=> @t200 (not @t199)))) % 0.44/0.88 (assume @p140 (forall @t15 (=> @t200 (not @t201)))) % 0.44/0.88 (assume @p141 (forall @t15 (=> @t17 (and @t199 (tptp.relation @t64))))) % 0.44/0.88 (assume @p142 (forall @t15 (=> @t17 (and @t201 (tptp.relation @t147))))) % 0.44/0.88 (assume @p143 (forall @t6 (=> @t186 (and (tptp.empty @t164) @t172)))) % 0.44/0.88 (assume @p144 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.44/0.88 (assume @p145 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.44/0.88 (assume @p146 (forall @t6 (=> @t32 (= (tptp.subset_complement @t1 @t149) @t2)))) % 0.44/0.88 (assume @p147 (forall @t15 (=> @t22 (= (tptp.relation_inverse @t157) @t1)))) % 0.44/0.88 (assume @p148 (forall @t6 (=> @t168 (= (tptp.complements_of_subsets @t1 @t166) @t2)))) % 0.44/0.88 (assume @p149 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.44/0.88 (assume @p150 (forall @t15 (=> @t22 (= @t137 (forall @t13 (=> @t202 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 0.44/0.88 (assume @p151 (forall @t15 (not (= @t101 tptp.empty_set)))) % 0.44/0.88 (assume @p152 (forall @t6 (=> @t5 (= (tptp.set_union2 @t101 @t2) @t2)))) % 0.44/0.88 (assume @p153 (forall @t6 (not (and @t203 @t5)))) % 0.44/0.88 (assume @p154 (forall @t6 (=> @t204 @t203))) % 0.44/0.88 (assume @p155 (forall @t6 (=> @t51 (tptp.subset (tptp.relation_dom @t72) @t85)))) % 0.44/0.88 (assume @p156 (forall @t15 (=> @t22 (= @t81 (forall @t91 (=> (and @t90 @t115) @t88)))))) % 0.44/0.88 (assume @p157 (forall @t6 (= (tptp.subset @t101 @t2) @t5))) % 0.44/0.88 (assume @p158 (forall @t6 (=> @t51 (not (and @t205 (tptp.equipotent @t1 @t112) (forall @t73 (=> @t24 (not (tptp.well_orders @t23 @t1))))))))) % 0.44/0.88 (assume @p159 (forall @t6 (= (= @t145 tptp.empty_set) @t53))) % 0.44/0.88 (assume @p160 (forall @t6 (=> @t32 (forall @t73 (=> @t103 @t45))))) % 0.44/0.88 (assume @p161 (forall @t15 (=> @t22 (= @t75 (forall @t62 (=> (and @t90 @t206) @t98)))))) % 0.44/0.88 (assume @p162 (forall @t27 (=> @t53 (or @t45 (tptp.subset @t1 (tptp.set_difference @t2 @t207)))))) % 0.44/0.88 (assume @p163 (forall @t15 (=> @t22 (= @t80 (forall @t62 (not (and @t202 (tptp.in @t23 @t74) @t125 @t208 (not @t206)))))))) % 0.44/0.88 (assume @p164 (forall @t6 (= (tptp.subset @t1 @t209) (or @t94 (= @t1 @t209))))) % 0.44/0.88 (assume @p165 (forall @t6 (=> @t5 (tptp.subset @t1 @t210)))) % 0.44/0.88 (assume @p166 (forall @t84 (= (tptp.in @t150 (tptp.cartesian_product2 @t23 @t43)) (and @t211 (tptp.in @t2 @t43))))) % 0.44/0.88 (assume @p167 (forall @t6 (=> @t127 @t212))) % 0.44/0.88 (assume @p168 (forall @t27 (=> @t161 (= @t214 (and (tptp.in @t2 @t140) @t3))))) % 0.44/0.88 (assume @p169 (exists @t15 (and @t117 @t20 @t19 @t14 @t28))) % 0.44/0.88 (assume @p170 (exists @t15 (and @t117 @t16))) % 0.44/0.88 (assume @p171 (exists @t15 @t70)) % 0.44/0.88 (assume @p172 (forall @t6 (exists @t73 (and @t105 @t24 @t143 @t93)))) % 0.44/0.88 (assume @p173 (exists @t15 @t36)) % 0.44/0.88 (assume @p174 (exists @t15 (and @t22 @t18 @t33 @t17))) % 0.44/0.88 (assume @p175 (exists @t15 (and @t17 @t22))) % 0.44/0.88 (assume @p176 (forall @t15 (=> @t117 (exists @t13 (and @t32 @t197))))) % 0.44/0.88 (assume @p177 (exists @t15 @t17)) % 0.44/0.88 (assume @p178 (forall @t15 (exists @t13 (and @t32 @t116 @t51 @t87 @t215 @t11 @t10 @t9 (tptp.natural @t2) @t30)))) % 0.44/0.88 (assume @p179 (exists @t15 @t35)) % 0.44/0.88 (assume @p180 (exists @t15 (and @t22 @t18 @t33 @t17 @t20 @t19 @t14))) % 0.44/0.88 (assume @p181 (forall @t6 (exists @t73 (and @t105 @t24 @t143)))) % 0.44/0.88 (assume @p182 (exists @t15 @t200)) % 0.44/0.88 (assume @p183 (forall @t15 (exists @t13 (and @t32 @t116)))) % 0.44/0.88 (assume @p184 (exists @t15 @t117)) % 0.44/0.88 (assume @p185 (forall @t15 (=> @t117 (exists @t13 (and @t32 @t197 @t30))))) % 0.44/0.88 (assume @p186 (exists @t15 @t34)) % 0.44/0.88 (assume @p187 (exists @t15 (and @t117 @t20 @t19 @t14))) % 0.44/0.88 (assume @p188 (exists @t15 @t191)) % 0.44/0.88 (assume @p189 (exists @t15 (and @t22 @t190 @t18))) % 0.44/0.88 (assume @p190 (forall @t27 (=> @t105 (= @t96 @t140)))) % 0.44/0.88 (assume @p191 (forall @t27 (=> @t105 (= @t175 @t139)))) % 0.44/0.88 (assume @p192 (forall @t6 (=> @t168 (= @t176 @t210)))) % 0.44/0.88 (assume @p193 (forall @t6 (=> @t168 (= @t178 (tptp.set_meet @t2))))) % 0.44/0.88 (assume @p194 (forall @t27 (=> @t181 (= @t179 @t216)))) % 0.44/0.88 (assume @p195 (forall @t27 (= @t97 @t105))) % 0.44/0.88 (assume @p196 (forall @t6 (=> @t42 (= @t41 @t53)))) % 0.44/0.88 (assume @p197 (forall @t6 (= @t144 (tptp.are_equipotent @t1 @t2)))) % 0.44/0.88 (assume @p198 (forall @t6 (=> @t42 (tptp.ordinal_subset @t1 @t1)))) % 0.44/0.88 (assume @p199 (forall @t6 (tptp.subset @t1 @t1))) % 0.44/0.88 (assume @p200 (forall @t6 (tptp.equipotent @t1 @t1))) % 0.44/0.88 (assume @p201 (forall @t6 (=> @t234 (=> @t233 (exists @t73 (and @t24 @t143 (forall @t60 (= @t59 (and @t108 @t108 (exists @t221 (and (= @t43 @t218) (tptp.in @t55 @t218) (forall @t220 (=> @t219 (tptp.in (tptp.ordered_pair @t55 @t217) @t2)))))))))))))) % 0.44/0.88 (assume @p202 (forall @t15 (=> @t237 (exists @t13 (and @t51 @t87 (forall @t48 (= @t47 (and @t45 @t45 (= @t43 @t207))))))))) % 0.44/0.88 (assume @p203 (forall @t15 (=> (exists @t13 (and @t9 @t3)) (exists @t13 (and @t9 @t3 (forall @t73 (=> @t238 (=> @t45 (tptp.ordinal_subset @t2 @t23))))))))) % 0.44/0.88 (assume @p204 (forall @t27 (=> @t242 (exists @t67 (and @t241 (forall @t123 (= (tptp.in @t121 @t43) (and @t71 @t240 (tptp.in (tptp.ordered_pair @t158 @t239) @t2))))))))) % 0.44/0.88 (assume @p205 (forall @t6 (=> @t234 (=> @t233 (exists @t73 (forall @t67 (= @t66 (exists @t65 (and @t71 @t71 (exists @t221 (and (= @t55 @t218) @t244 @t243))))))))))) % 0.44/0.88 (assume @p206 (forall @t6 (=> @t234 (forall @t73 (=> (forall @t263 (=> (and @t222 (exists @t262 (and (= @t261 @t55) @t260 (exists @t226 (and (= @t229 @t223) (tptp.in @t224 @t223) (forall @t221 (=> (tptp.in @t218 @t223) (tptp.in (tptp.ordered_pair @t224 @t218) @t2))))))) @t259 (exists @t258 (and (= @t257 @t120) (tptp.in @t217 @t1) (exists @t256 (and (= @t217 @t254) (tptp.in @t253 @t254) (forall @t255 (=> (tptp.in @t252 @t254) (tptp.in (tptp.ordered_pair @t253 @t252) @t2)))))))) @t251)) (exists @t67 (forall @t65 (= @t83 (exists @t163 (and (tptp.in @t120 @t250) @t249 (exists (@list @t248 @t246) (and (= (tptp.ordered_pair @t248 @t246) @t55) (tptp.in @t248 @t1) (exists (@list @t247) (and (= @t248 @t247) (tptp.in @t246 @t247) (forall (@list @t245) (=> (tptp.in @t245 @t247) (tptp.in (tptp.ordered_pair @t246 @t245) @t2))))))))))))))))) % 0.44/0.88 (assume @p207 (forall @t15 (=> @t237 (exists @t13 (forall @t73 (= @t103 (exists @t67 (and @t108 @t108 (= @t23 (tptp.singleton @t43)))))))))) % 0.44/0.88 (assume @p208 (forall @t6 (=> (forall @t165 (=> (and @t44 (exists @t268 (and (= @t267 @t43) @t240 (= @t229 (tptp.singleton @t120)))) @t266 (exists (@list @t224 @t223) (and (= (tptp.ordered_pair @t224 @t223) @t55) @t265 (= @t223 (tptp.singleton @t224))))) @t222)) (exists @t73 (forall @t67 (= @t66 (exists @t65 (and (tptp.in @t55 @t25) @t264 (exists (@list @t218 @t217) (and (= (tptp.ordered_pair @t218 @t217) @t43) (tptp.in @t218 @t1) (= @t217 (tptp.singleton @t218)))))))))))) % 0.44/0.88 (assume @p209 @t344) % 0.44/0.88 (assume @p210 (forall @t6 (=> @t345 (=> (forall @t165 (=> (and @t44 (exists @t163 (and @t122 (= @t43 (tptp.set_difference @t120 @t101)))) @t266 (exists @t231 (and (tptp.in @t229 @t2) (= @t55 (tptp.set_difference @t229 @t101))))) @t222)) (exists @t73 (forall @t67 (= @t66 (exists @t65 (and (tptp.in @t55 @t31) @t264 (exists @t227 (and (tptp.in @t224 @t2) (= @t43 (tptp.set_difference @t224 @t101))))))))))))) % 0.44/0.88 (assume @p211 (forall @t27 (=> @t242 (=> (forall @t263 (=> (and @t222 (exists @t262 (and (= @t55 @t261) (tptp.in (tptp.ordered_pair @t347 (tptp.apply @t23 @t224)) @t2))) @t259 (exists (@list @t223 @t218) (and (= @t120 (tptp.ordered_pair @t223 @t218)) (tptp.in (tptp.ordered_pair (tptp.apply @t23 @t223) (tptp.apply @t23 @t218)) @t2)))) @t251)) (exists @t67 (forall @t65 (= @t83 (exists @t163 (and (tptp.in @t120 @t346) @t249 (exists @t258 (and (= @t55 @t257) (tptp.in (tptp.ordered_pair (tptp.apply @t23 @t217) (tptp.apply @t23 @t253)) @t2)))))))))))) % 0.44/0.88 (assume @p212 (forall @t15 (=> (forall @t91 (=> (and @t98 @t238 @t114 @t348) @t44)) (exists @t13 (forall @t73 (= @t103 (exists @t67 (and @t108 @t292 @t238)))))))) % 0.44/0.88 (assume @p213 (forall @t27 (=> @t351 (=> (forall @t263 (=> (and @t222 @t349 @t259 (tptp.in (tptp.relation_image @t23 @t120) @t2)) @t251)) (exists @t67 (forall @t65 (= @t83 (exists @t163 (and (tptp.in @t120 @t350) @t249 @t349))))))))) % 0.44/0.88 (assume @p214 (forall @t6 (=> @t9 (=> (forall @t165 (=> (and @t44 (exists @t163 (and (tptp.ordinal @t120) @t259 @t240)) @t266 (exists @t231 (and (tptp.ordinal @t229) (= @t55 @t229) @t260))) @t222)) (exists @t73 (forall @t67 (= @t66 (exists @t65 (and (tptp.in @t55 @t352) @t264 (exists @t227 (and (tptp.ordinal @t224) (= @t43 @t224) @t265))))))))))) % 0.44/0.88 (assume @p215 (forall @t6 (=> @t234 (forall @t73 (exists @t67 (forall @t65 (= @t83 (and (tptp.in @t55 @t250) (exists @t268 (and (= @t267 @t55) @t240 (exists @t227 (and (= @t120 @t224) (tptp.in @t229 @t224) (forall @t226 (=> @t225 (tptp.in (tptp.ordered_pair @t229 @t223) @t2))))))))))))))) % 0.44/0.88 (assume @p216 (forall @t6 (exists @t73 (forall @t67 (= @t66 (and (tptp.in @t43 @t25) (exists @t123 (and (= @t121 @t43) @t71 (= @t120 (tptp.singleton @t55)))))))))) % 0.44/0.88 (assume @p217 @t381) % 0.44/0.88 (assume @p218 (forall @t6 (=> @t345 (exists @t73 (forall @t67 (= @t66 (and (tptp.in @t43 @t31) (exists @t65 (and @t63 (= @t43 (tptp.set_difference @t55 @t101))))))))))) % 0.44/0.88 (assume @p219 (forall @t27 (=> @t242 (exists @t67 (forall @t65 (= @t83 (and (tptp.in @t55 @t346) (exists @t268 (and (= @t55 @t267) (tptp.in (tptp.ordered_pair @t239 @t347) @t2)))))))))) % 0.44/0.88 (assume @p220 (forall @t15 (exists @t13 (forall @t73 (= @t103 (and @t45 @t238)))))) % 0.44/0.88 (assume @p221 (forall @t27 (=> @t351 (exists @t67 (forall @t65 (= @t83 (and (tptp.in @t55 @t350) @t349))))))) % 0.44/0.88 (assume @p222 (forall @t6 (=> @t9 (exists @t73 (forall @t67 (= @t66 (and (tptp.in @t43 @t352) (exists @t65 (and @t336 @t222 @t71))))))))) % 0.44/0.88 (assume @p223 (forall @t6 (=> @t234 (=> (and (forall @t165 (=> (and @t45 @t232 @t228) @t222)) (forall @t73 (not (and @t45 (forall @t67 (not (exists @t221 (and (= @t23 @t218) @t244 @t243)))))))) (exists @t73 (and @t24 @t143 @t141 (forall @t67 (=> @t108 (exists @t303 (and (= @t43 @t253) (tptp.in @t159 @t253) (forall @t256 (=> (tptp.in @t254 @t253) (tptp.in (tptp.ordered_pair @t159 @t254) @t2))))))))))))) % 0.44/0.88 (assume @p224 (forall @t15 (=> (and (forall @t91 (=> (and @t3 @t236 @t235) @t44)) (forall @t13 (not (and @t3 (forall @t73 (not @t236)))))) @t384))) % 0.44/0.88 (assume @p225 (forall @t15 @t384)) % 0.44/0.88 (assume @p226 (forall @t6 (=> @t162 (tptp.disjoint @t2 @t1)))) % 0.44/0.88 (assume @p227 (forall @t6 (=> @t144 (tptp.equipotent @t2 @t1)))) % 0.44/0.88 (assume @p228 (forall @t15 (tptp.in @t1 @t102))) % 0.44/0.88 (assume @p229 (forall @t84 (not (and (= @t37 (tptp.unordered_pair @t23 @t43)) (not @t385) (not (= @t1 @t43)))))) % 0.44/0.88 (assume @p230 (forall @t27 (=> @t24 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t23))) (and @t5 (tptp.in @t1 @t139)))))) % 0.44/0.88 (assume @p231 (forall @t6 (=> @t51 (tptp.subset @t386 @t1)))) % 0.44/0.88 (assume @p232 (forall @t6 (=> @t51 (tptp.subset @t72 @t2)))) % 0.44/0.88 (assume @p233 (forall @t6 (=> @t51 (tptp.subset @t386 @t86)))) % 0.44/0.88 (assume @p234 (forall @t27 (=> @t53 (and (tptp.subset @t250 (tptp.cartesian_product2 @t2 @t23)) (tptp.subset (tptp.cartesian_product2 @t23 @t1) (tptp.cartesian_product2 @t23 @t2)))))) % 0.44/0.88 (assume @p235 (forall @t6 (=> @t51 (= @t386 (tptp.set_intersection2 @t86 @t1))))) % 0.44/0.88 (assume @p236 (forall @t84 (=> (and @t53 @t111) (tptp.subset @t250 (tptp.cartesian_product2 @t2 @t43))))) % 0.44/0.88 (assume @p237 (forall @t27 (=> @t97 (and (tptp.subset @t140 @t1) (tptp.subset @t139 @t2))))) % 0.44/0.88 (assume @p238 (forall @t6 (=> @t53 (= @t39 @t2)))) % 0.44/0.88 (assume @p239 (forall @t15 (exists @t13 (and @t5 @t389 (forall @t73 (=> @t103 (tptp.in @t388 @t2))) @t387)))) % 0.44/0.88 (assume @p240 (forall @t6 (=> (and @t53 @t30) @t16))) % 0.44/0.88 (assume @p241 (forall @t27 (=> @t24 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t23) @t2) (tptp.relation_rng_restriction @t1 @t390))))) % 0.44/0.88 (assume @p242 (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)))))) % 0.44/0.88 (assume @p243 (forall @t6 (=> @t51 (tptp.subset @t391 @t86)))) % 0.44/0.88 (assume @p244 (forall @t6 (=> @t198 (tptp.subset @t393 @t1)))) % 0.44/0.88 (assume @p245 (forall @t6 (=> @t51 (= @t391 (tptp.relation_image @t2 @t394))))) % 0.44/0.88 (assume @p246 (forall @t6 (=> @t51 (=> (tptp.subset @t1 @t85) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t391)))))) % 0.44/0.88 (assume @p247 (forall @t15 (=> @t22 (= (tptp.relation_image @t1 @t64) @t147)))) % 0.44/0.88 (assume @p248 (forall @t6 (=> @t198 (=> @t395 (= @t393 @t1))))) % 0.44/0.88 (assume @p249 (forall @t84 (=> @t398 (=> (tptp.subset @t397 @t2) @t396)))) % 0.44/0.88 (assume @p250 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (= @t399 (tptp.relation_image @t2 @t147))))))) % 0.44/0.88 (assume @p251 (forall @t27 (=> @t24 (= (tptp.in @t1 @t400) (exists @t67 (and (tptp.in @t43 @t139) (tptp.in (tptp.ordered_pair @t1 @t43) @t23) @t58)))))) % 0.44/0.88 (assume @p252 (forall @t6 (=> @t51 (tptp.subset @t392 @t85)))) % 0.44/0.88 (assume @p253 (forall @t84 (=> @t398 (=> @t53 @t396)))) % 0.44/0.88 (assume @p254 (forall @t27 (=> @t24 (= (tptp.in @t1 @t401) (and @t211 (tptp.in @t1 @t155)))))) % 0.44/0.88 (assume @p255 (forall @t6 (=> @t51 (not (and @t109 @t395 (= @t392 tptp.empty_set)))))) % 0.44/0.88 (assume @p256 (forall @t27 (=> @t24 (=> @t53 (tptp.subset (tptp.relation_inverse_image @t23 @t1) @t400))))) % 0.44/0.88 (assume @p257 (forall @t6 (=> @t198 (=> @t16 (tptp.finite @t391))))) % 0.44/0.88 (assume @p258 (forall @t6 (=> @t51 (= @t402 (tptp.relation_dom_restriction @t72 @t1))))) % 0.44/0.88 (assume @p259 (forall @t6 (tptp.subset @t40 @t1))) % 0.44/0.88 (assume @p260 (forall @t6 (=> @t51 (= @t402 (tptp.relation_rng_restriction @t1 @t403))))) % 0.44/0.88 (assume @p261 (forall @t27 (=> @t24 (=> (tptp.in @t1 (tptp.relation_field @t401)) (and @t405 @t5))))) % 0.44/0.88 (assume @p262 (forall @t27 (=> (and @t53 @t407) (tptp.subset @t1 @t406)))) % 0.44/0.88 (assume @p263 (forall @t15 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.44/0.88 (assume @p264 (forall @t6 (=> @t5 @t408))) % 0.44/0.88 (assume @p265 (forall @t27 (=> (and @t53 @t409) @t407))) % 0.44/0.88 (assume @p266 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 0.44/0.88 (assume @p267 (forall @t27 (=> @t24 (=> @t411 (and @t410 (tptp.in @t2 @t139)))))) % 0.44/0.88 (assume @p268 (forall @t6 (=> @t51 (and (tptp.subset @t412 @t112) (tptp.subset @t412 @t1))))) % 0.44/0.88 (assume @p269 (forall @t6 (=> @t198 (forall @t73 (=> @t161 (= @t415 (and @t410 (tptp.in @t413 @t85)))))))) % 0.44/0.88 (assume @p270 (forall @t84 (=> @t418 (forall @t65 (=> (and (tptp.relation @t55) (tptp.function @t55)) (=> @t45 (or @t95 (= (tptp.apply (tptp.relation_composition @t43 @t55) @t23) (tptp.apply @t55 @t416))))))))) % 0.44/0.88 (assume @p271 (forall @t15 (=> @t20 (forall @t13 (=> @t9 (=> @t8 @t5)))))) % 0.44/0.88 (assume @p272 (forall @t15 (=> @t22 (tptp.subset @t1 (tptp.cartesian_product2 @t64 @t147))))) % 0.44/0.88 (assume @p273 (forall @t27 (=> @t24 (tptp.subset (tptp.fiber (tptp.relation_restriction @t23 @t1) @t2) (tptp.fiber @t23 @t2))))) % 0.44/0.88 (assume @p274 (forall @t6 (=> @t198 (forall @t73 (=> @t161 (=> @t415 (= (tptp.apply @t414 @t1) (tptp.apply @t2 @t413)))))))) % 0.44/0.88 (assume @p275 (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))))) % 0.44/0.88 (assume @p276 (forall @t6 (=> @t51 (=> @t419 (tptp.reflexive @t402))))) % 0.44/0.88 (assume @p277 (forall @t6 (=> @t198 (forall @t73 (=> @t161 (=> (tptp.in @t1 @t85) (= (tptp.apply (tptp.relation_composition @t2 @t23) @t1) (tptp.apply @t23 (tptp.apply @t2 @t1))))))))) % 0.44/0.88 (assume @p278 (forall @t6 (=> @t9 (=> @t5 @t14)))) % 0.44/0.88 (assume @p279 (forall @t27 (=> @t97 (= (forall @t67 (not (and @t58 (forall @t65 (not (tptp.in @t79 @t23)))))) (= @t175 @t2))))) % 0.44/0.88 (assume @p280 (forall @t6 (=> @t51 (=> @t420 (tptp.connected @t402))))) % 0.44/0.88 (assume @p281 (forall @t15 (=> @t14 (forall @t13 (=> @t9 (not (and @t204 @t169 @t4))))))) % 0.44/0.88 (assume @p282 (forall @t6 (=> @t51 (=> @t421 (tptp.transitive @t402))))) % 0.44/0.88 (assume @p283 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (=> @t53 (and (tptp.subset @t64 @t85) (tptp.subset @t147 @t86)))))))) % 0.44/0.88 (assume @p284 (forall @t6 (=> @t51 (=> @t422 (tptp.antisymmetric @t402))))) % 0.44/0.88 (assume @p285 (forall @t6 (=> @t51 (=> @t425 (and @t424 @t423))))) % 0.44/0.88 (assume @p286 (forall @t15 (exists @t13 (and @t51 @t425)))) % 0.44/0.88 (assume @p287 (forall @t27 (=> @t53 (tptp.subset (tptp.set_intersection2 @t1 @t23) @t406)))) % 0.44/0.88 (assume @p288 (forall @t15 (=> @t117 (not (and (forall @t13 (not (and @t3 @t95))) (forall @t13 (=> @t198 (not (and @t383 (forall @t73 (=> @t45 (tptp.in @t382 @t23)))))))))))) % 0.44/0.88 (assume @p289 (forall @t6 (=> @t53 (= @t40 @t1)))) % 0.44/0.88 (assume @p290 (forall @t15 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.44/0.88 (assume @p291 (forall @t6 (=> @t408 (or @t116 @t5)))) % 0.44/0.88 (assume @p292 (forall @t6 (=> (forall @t73 (= @t45 @t103)) @t54))) % 0.44/0.88 (assume @p293 (forall @t15 (tptp.reflexive @t113))) % 0.44/0.88 (assume @p294 (forall @t15 (tptp.subset tptp.empty_set @t1))) % 0.44/0.88 (assume @p295 (forall @t27 (=> @t24 (=> @t411 (and @t405 (tptp.in @t2 @t404)))))) % 0.44/0.88 (assume @p296 (forall @t15 (=> (forall @t13 (=> @t3 (and @t9 @t52))) @t14))) % 0.44/0.88 (assume @p297 (forall @t6 (=> @t51 (=> @t426 (tptp.well_founded_relation @t402))))) % 0.44/0.88 (assume @p298 (forall @t6 (=> @t9 (not (and @t53 @t109 (forall @t73 (=> @t238 (not (and @t45 (forall @t67 (=> @t348 (=> @t108 (tptp.ordinal_subset @t23 @t43))))))))))))) % 0.44/0.88 (assume @p299 (forall @t6 (=> @t51 (=> @t205 @t423)))) % 0.44/0.88 (assume @p300 (forall @t15 (=> @t14 (forall @t13 (=> @t9 (= @t5 (tptp.ordinal_subset @t102 @t2))))))) % 0.44/0.88 (assume @p301 (forall @t27 (=> @t53 (tptp.subset (tptp.set_difference @t1 @t23) @t216)))) % 0.44/0.88 (assume @p302 (forall @t84 (=> (= @t150 @t46) (and @t385 @t114)))) % 0.44/0.88 (assume @p303 (forall @t6 (=> @t198 (= @t50 (and @t383 (forall @t73 (=> @t45 (= @t382 @t23)))))))) % 0.44/0.88 (assume @p304 (forall @t6 (=> @t3 (= (tptp.apply @t49 @t2) @t2)))) % 0.44/0.88 (assume @p305 (forall @t6 (tptp.subset @t145 @t1))) % 0.44/0.88 (assume @p306 (forall @t15 (=> @t22 (and (= @t147 (tptp.relation_dom @t157)) (= @t64 (tptp.relation_rng @t157)))))) % 0.44/0.88 (assume @p307 (forall @t27 (= (tptp.subset @t37 @t23) (and @t211 @t126)))) % 0.44/0.88 (assume @p308 (forall @t6 (=> @t51 (=> (and @t205 (tptp.subset @t1 @t112)) @t424)))) % 0.44/0.88 (assume @p309 (forall @t6 (= @t427 @t39))) % 0.44/0.88 (assume @p310 (forall @t15 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.44/0.88 (assume @p311 (forall @t27 (not (and @t5 @t126 @t45)))) % 0.44/0.88 (assume @p312 (forall @t6 (= @t212 @t53))) % 0.44/0.88 (assume @p313 (forall @t15 (tptp.transitive @t113))) % 0.44/0.88 (assume @p314 (forall @t6 (and (not (and @t429 (forall @t73 (not @t428)))) (not (and (exists @t73 @t428) @t162))))) % 0.44/0.88 (assume @p315 (forall @t15 (=> (tptp.subset @t1 tptp.empty_set) @t94))) % 0.44/0.88 (assume @p316 (forall @t6 (= (tptp.set_difference @t39 @t2) @t145))) % 0.44/0.88 (assume @p317 (forall @t15 (=> @t14 (= @t153 (forall @t13 (=> @t9 (=> @t3 (tptp.in @t352 @t1)))))))) % 0.44/0.88 (assume @p318 (forall @t15 (=> @t14 (and (not (and (not @t153) (forall @t13 (=> @t9 (not @t430))))) (not (and (exists @t13 (and @t9 @t430)) @t153)))))) % 0.44/0.88 (assume @p319 (forall @t6 (=> @t32 (forall @t73 (=> @t180 (= @t432 (tptp.subset @t2 @t431))))))) % 0.44/0.88 (assume @p320 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (tptp.subset @t433 @t64)))))) % 0.44/0.88 (assume @p321 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (tptp.subset @t399 @t86)))))) % 0.44/0.88 (assume @p322 (forall @t6 (=> @t53 (= @t2 @t427)))) % 0.44/0.88 (assume @p323 (forall @t84 (=> @t418 (=> @t118 (forall @t65 (= (tptp.in @t55 (tptp.relation_inverse_image @t43 @t23)) (and @t71 (tptp.in (tptp.apply @t43 @t55) @t23)))))))) % 0.44/0.88 (assume @p324 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (=> (tptp.subset @t147 @t85) (= @t433 @t64))))))) % 0.44/0.88 (assume @p325 (forall @t6 (=> @t168 (not (and @t118 (= @t166 tptp.empty_set)))))) % 0.44/0.88 (assume @p326 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (=> (tptp.subset @t64 @t86) (= (tptp.relation_rng @t185) @t147))))))) % 0.44/0.88 (assume @p327 (forall @t6 (=> @t168 (=> @t118 (= (tptp.subset_difference @t1 @t135 @t176) (tptp.meet_of_subsets @t1 @t166)))))) % 0.44/0.88 (assume @p328 (forall @t6 (=> @t168 (=> @t118 (= (tptp.union_of_subsets @t1 @t166) (tptp.subset_difference @t1 @t135 @t178)))))) % 0.44/0.88 (assume @p329 (forall @t6 (= (tptp.set_difference @t1 @t145) @t40))) % 0.44/0.88 (assume @p330 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (forall @t73 (=> @t161 (=> @t160 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t23)))))))))) % 0.44/0.88 (assume @p331 (forall @t15 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.44/0.88 (assume @p332 (forall @t27 (=> (and @t5 @t434) (tptp.element @t1 @t23)))) % 0.44/0.88 (assume @p333 (forall @t15 (=> @t14 (tptp.connected @t113)))) % 0.44/0.88 (assume @p334 (forall @t6 (and (not (and @t429 (forall @t73 (not @t435)))) (not (and (exists @t73 @t435) @t162))))) % 0.44/0.88 (assume @p335 (forall @t15 (=> @t109 (forall @t13 (=> @t32 (forall @t73 (=> (tptp.element @t23 @t1) (=> @t124 (tptp.in @t23 @t149))))))))) % 0.44/0.88 (assume @p336 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (forall @t73 (=> @t161 (=> @t160 (and (=> @t137 @t419) (=> @t81 @t421) (=> @t80 @t420) (=> @t75 @t422) (=> @t119 @t426)))))))))) % 0.44/0.88 (assume @p337 (forall @t15 (=> @t70 (=> @t33 (forall @t13 (=> @t198 (= (= @t2 @t170) (and (= @t85 @t147) (forall @t48 (and (=> @t436 @t146) (=> @t146 @t436))))))))))) % 0.44/0.88 (assume @p338 (forall @t27 (=> @t180 (not (and (tptp.in @t2 @t431) @t126))))) % 0.44/0.88 (assume @p339 (forall @t15 (=> @t22 (forall @t13 (=> @t51 (forall @t73 (=> @t161 (=> (and @t138 @t160) @t205)))))))) % 0.44/0.88 (assume @p340 (forall @t15 (=> @t70 (=> @t33 (and (= @t147 (tptp.relation_dom @t170)) (= @t64 (tptp.relation_rng @t170))))))) % 0.44/0.88 (assume @p341 (forall @t15 (=> @t22 (=> (forall @t62 @t208) @t94)))) % 0.44/0.88 (assume @p342 (forall @t6 (=> @t198 (=> (and @t215 (tptp.in @t1 @t86)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t437 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t437 @t2) @t1))))))) % 0.44/0.88 (assume @p343 (forall @t27 (not (and @t5 @t434 (tptp.empty @t23))))) % 0.44/0.88 (assume @p344 (forall @t15 (=> @t22 (= @t119 (tptp.is_well_founded_in @t1 @t74))))) % 0.44/0.88 (assume @p345 (forall @t15 (tptp.antisymmetric @t113))) % 0.44/0.88 (assume @p346 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.44/0.88 (assume @p347 (forall @t6 (not (and @t53 @t7)))) % 0.44/0.88 (assume @p348 (forall @t15 (=> @t70 (=> @t33 (tptp.one_to_one @t170))))) % 0.44/0.88 (assume @p349 (forall @t27 (=> (and @t53 @t432) (tptp.disjoint @t1 @t23)))) % 0.44/0.88 (assume @p350 (forall @t15 (=> @t22 (=> (or @t439 @t438) @t94)))) % 0.44/0.88 (assume @p351 (forall @t15 (=> @t22 (= @t439 @t438)))) % 0.44/0.88 (assume @p352 (forall @t6 (= (= (tptp.set_difference @t1 @t209) @t1) @t4))) % 0.44/0.88 (assume @p353 (forall @t6 (=> @t198 (forall @t73 (=> @t161 (= (= @t2 @t213) (and (= @t85 (tptp.set_intersection2 @t140 @t1)) (forall @t67 (=> (tptp.in @t43 @t85) (= (tptp.apply @t2 @t43) @t159)))))))))) % 0.44/0.88 (assume @p354 (forall @t15 (= (tptp.unordered_pair @t1 @t1) @t101))) % 0.44/0.88 (assume @p355 (forall @t15 (=> @t17 @t94))) % 0.44/0.88 (assume @p356 (forall @t84 (=> @t418 (=> @t45 (or @t95 (tptp.in @t416 @t397)))))) % 0.44/0.88 (assume @p357 (forall @t15 (=> @t14 (tptp.well_founded_relation @t113)))) % 0.44/0.88 (assume @p358 (forall @t6 (=> (tptp.subset @t101 @t209) @t54))) % 0.44/0.88 (assume @p359 (forall @t27 (=> @t161 (=> @t214 @t440)))) % 0.44/0.88 (assume @p360 (forall @t15 (and (= (tptp.relation_dom @t49) @t1) (= (tptp.relation_rng @t49) @t1)))) % 0.44/0.88 (assume @p361 (forall @t27 (=> @t161 (=> @t3 @t440)))) % 0.44/0.88 (assume @p362 (forall @t84 (=> @t241 (= (tptp.in @t150 (tptp.relation_composition (tptp.identity_relation @t23) @t43)) (and @t211 (tptp.in @t150 @t43)))))) % 0.44/0.88 (assume @p363 (forall @t6 (not (and @t5 @t116)))) % 0.44/0.88 (assume @p364 (forall @t6 (and (= (tptp.pair_first @t150) @t1) (= (tptp.pair_second @t150) @t2)))) % 0.44/0.88 (assume @p365 (forall @t6 (not (and @t5 (forall @t73 (not (and @t103 (forall @t67 (not (and @t58 @t66)))))))))) % 0.44/0.88 (assume @p366 (forall @t15 (=> @t14 (tptp.well_ordering @t113)))) % 0.44/0.88 (assume @p367 (forall @t6 (tptp.subset @t1 @t39))) % 0.44/0.88 (assume @p368 (forall @t6 (= @t162 (= @t145 @t1)))) % 0.44/0.88 (assume @p369 (forall @t27 (=> @t24 (= (tptp.in @t1 (tptp.relation_dom @t390)) (and @t5 @t410))))) % 0.44/0.88 (assume @p370 (forall @t6 (=> @t51 (tptp.subset @t403 @t2)))) % 0.44/0.88 (assume @p371 (forall @t6 (not (and @t17 @t169 @t116)))) % 0.44/0.88 (assume @p372 (forall @t27 (=> @t161 (= @t411 (and @t410 (= @t2 @t413)))))) % 0.44/0.88 (assume @p373 (forall @t15 (=> @t22 (= (tptp.well_orders @t1 @t74) @t138)))) % 0.44/0.88 (assume @p374 (forall @t27 (=> (and @t53 @t128) (tptp.subset (tptp.set_union2 @t1 @t23) @t2)))) % 0.44/0.88 (assume @p375 (forall @t27 (=> @t441 @t54))) % 0.44/0.88 (assume @p376 (forall @t6 (=> @t51 (= (tptp.relation_dom @t403) @t394)))) % 0.44/0.88 (assume @p377 (forall @t6 (=> @t51 (= @t403 (tptp.relation_composition @t49 @t2))))) % 0.44/0.88 (assume @p378 (forall @t6 (=> @t51 (tptp.subset (tptp.relation_rng @t403) @t86)))) % 0.44/0.88 (assume @p379 (forall @t15 (= (tptp.union @t31) @t1))) % 0.44/0.88 (assume @p380 (forall @t84 (=> @t418 (=> @t409 (or (and @t95 @t109) (and @t417 (tptp.quasi_total @t43 @t1 @t23) (tptp.relation_of2_as_subset @t43 @t1 @t23))))))) % 0.44/0.88 (assume @p381 (forall @t15 (exists @t13 (and @t5 @t389 (forall @t73 (not (and @t103 (forall @t67 (not (and @t58 (forall @t65 (=> (tptp.subset @t55 @t23) @t83)))))))) @t387)))) % 0.44/0.88 (assume @p382 (forall @t27 (=> @t441 @t98))) % 0.44/0.88 (step @p383 :rule bool-impl-elim :args (@t14 @t455)) % 0.44/0.88 (step @p384 :rule cong :premises (@p383) :args ((forall @t15 (=> @t14 @t455)))) % 0.44/0.88 (step @p385 :rule bool-impl-true2 :args (@t455)) % 0.44/0.88 (step @p386 :rule exists-elim :args ((= (exists @t13 @t454) @t455))) % 0.44/0.88 (step @p387 :rule refl :args (@t374)) % 0.44/0.88 (step @p388 :rule bool-double-not-elim :args (@t451)) % 0.44/0.88 (step @p389 :rule refl :args (@t453)) % 0.44/0.88 (step @p390 :rule nary_cong :premises (@p389 @p388) :args ((or @t453 (not @t456)))) % 0.44/0.88 (step @p391 :rule bool-and-de-morgan :args (@t452 @t456 true)) % 0.44/0.88 (step @p392 :rule trans :premises (@p391 @p390)) % 0.44/0.88 (step @p393 :rule refl :args (@t238)) % 0.44/0.88 (step @p394 :rule nary_cong :premises (@p393 @p392 @p387) :args ((and @t238 @t458 @t374))) % 0.44/0.88 (step @p395 :rule bool-double-not-elim :args (@t374)) % 0.44/0.88 (step @p396 :rule refl :args (@t458)) % 0.44/0.88 (step @p397 :rule bool-double-not-elim :args (@t238)) % 0.44/0.88 (step @p398 :rule nary_cong :premises (@p397 @p396 @p395) :args (@t463)) % 0.44/0.88 (step @p399 :rule aci_norm :args ((= (and @t462 (and @t458 @t460)) @t463))) % 0.44/0.88 (step @p400 :rule trans :premises (@p399 @p398)) % 0.44/0.88 (step @p401 :rule bool-or-de-morgan :args (@t457 @t459 false)) % 0.44/0.88 (step @p402 :rule refl :args (@t462)) % 0.44/0.88 (step @p403 :rule nary_cong :premises (@p402 @p401) :args ((and @t462 (not (or @t457 @t459))))) % 0.44/0.88 (step @p404 :rule bool-or-de-morgan :args (@t461 @t457 (or @t459))) % 0.44/0.88 (step @p405 :rule trans :premises (@p404 @p403)) % 0.44/0.88 (step @p406 :rule trans :premises (@p405 @p400)) % 0.44/0.88 (step @p407 :rule trans :premises (@p406 @p394)) % 0.44/0.88 (step @p408 :rule refl :args (@t103)) % 0.44/0.88 (step @p409 :rule cong :premises (@p408 @p407) :args (@t464)) % 0.44/0.88 (step @p410 :rule cong :premises (@p409) :args ((forall @t73 @t464))) % 0.44/0.88 (step @p411 :rule aci_norm :args ((= (or @t459 false) @t459))) % 0.44/0.88 (step @p412 :rule evaluate :args ((not true))) % 0.44/0.88 (step @p413 :rule eq-refl :args (@t23)) % 0.44/0.88 (step @p414 :rule cong :premises (@p413) :args (@t465)) % 0.44/0.88 (step @p415 :rule trans :premises (@p414 @p412)) % 0.44/0.88 (step @p416 :rule refl :args (@t459)) % 0.44/0.88 (step @p417 :rule nary_cong :premises (@p416 @p415) :args (@t466)) % 0.44/0.88 (step @p418 :rule trans :premises (@p417 @p411)) % 0.44/0.88 (step @p419 :rule quant-var-elim-eq :args ((= (forall @t67 (or @t468 @t467 @t154)) @t466))) % 0.44/0.88 (step @p420 :rule refl :args (@t154)) % 0.44/0.88 (step @p421 :rule refl :args (@t467)) % 0.44/0.88 (step @p422 :rule eq-symm :args (@t23 @t43)) % 0.44/0.88 (step @p423 :rule cong :premises (@p422) :args (@t154)) % 0.44/0.88 (step @p424 :rule nary_cong :premises (@p423 @p421 @p420) :args (@t469)) % 0.44/0.88 (step @p425 :rule aci_norm :args ((= @t470 @t469))) % 0.44/0.88 (step @p426 :rule trans :premises (@p425 @p424)) % 0.44/0.88 (step @p427 :rule cong :premises (@p426) :args (@t471)) % 0.44/0.88 (step @p428 :rule trans :premises (@p427 @p419)) % 0.44/0.88 (step @p429 :rule trans :premises (@p428 @p418)) % 0.44/0.88 (step @p430 :rule refl :args (@t457)) % 0.44/0.88 (step @p431 :rule refl :args (@t461)) % 0.44/0.88 (step @p432 :rule nary_cong :premises (@p431 @p430 @p429) :args (@t472)) % 0.44/0.88 (step @p433 :rule quant-miniscope-or :args ((= (forall @t67 @t473) @t472))) % 0.44/0.88 (step @p434 :rule aci_norm :args ((= @t474 @t473))) % 0.44/0.88 (step @p435 :rule cong :premises (@p434) :args ((forall @t67 @t474))) % 0.44/0.88 (step @p436 :rule trans :premises (@p435 @p433)) % 0.44/0.88 (step @p437 :rule trans :premises (@p436 @p432)) % 0.44/0.88 (step @p438 :rule aci_norm :args ((= (or @t467 @t154 @t475) @t474))) % 0.44/0.88 (step @p439 :rule bool-double-not-elim :args (@t475)) % 0.44/0.88 (step @p440 :rule nary_cong :premises (@p421 @p420 @p439) :args (@t478)) % 0.44/0.88 (step @p441 :rule aci_norm :args ((= (or @t467 (or @t154 @t477)) @t478))) % 0.44/0.88 (step @p442 :rule trans :premises (@p441 @p440)) % 0.44/0.88 (step @p443 :rule bool-and-de-morgan :args (@t44 @t476 true)) % 0.44/0.88 (step @p444 :rule nary_cong :premises (@p421 @p443) :args ((or @t467 (not (and @t44 @t476))))) % 0.44/0.88 (step @p445 :rule bool-and-de-morgan :args (@t293 @t44 (and @t476))) % 0.44/0.88 (step @p446 :rule trans :premises (@p445 @p444)) % 0.44/0.88 (step @p447 :rule trans :premises (@p446 @p442)) % 0.44/0.88 (step @p448 :rule trans :premises (@p447 @p438)) % 0.44/0.88 (step @p449 :rule cong :premises (@p448) :args (@t480)) % 0.44/0.88 (step @p450 :rule trans :premises (@p449 @p437)) % 0.44/0.88 (step @p451 :rule cong :premises (@p450) :args (@t481)) % 0.44/0.88 (step @p452 :rule exists-elim :args ((= (exists @t67 @t479) @t481))) % 0.44/0.88 (step @p453 :rule trans :premises (@p452 @p451)) % 0.44/0.88 (step @p454 :rule aci_norm :args ((= (or @t461 false @t457) @t475))) % 0.44/0.88 (step @p455 :rule nary_cong :premises (@p431 @p415 @p430) :args (@t482)) % 0.44/0.88 (step @p456 :rule trans :premises (@p455 @p454)) % 0.44/0.88 (step @p457 :rule quant-var-elim-eq :args ((= (forall @t256 (or (not (= @t254 @t23)) @t488 @t487 @t486)) @t482))) % 0.44/0.88 (step @p458 :rule refl :args (@t486)) % 0.44/0.88 (step @p459 :rule refl :args (@t487)) % 0.44/0.88 (step @p460 :rule refl :args (@t488)) % 0.44/0.88 (step @p461 :rule eq-symm :args (@t23 @t254)) % 0.44/0.88 (step @p462 :rule cong :premises (@p461) :args (@t487)) % 0.44/0.88 (step @p463 :rule nary_cong :premises (@p462 @p460 @p459 @p458) :args (@t489)) % 0.44/0.88 (step @p464 :rule aci_norm :args ((= @t490 @t489))) % 0.44/0.88 (step @p465 :rule trans :premises (@p464 @p463)) % 0.44/0.88 (step @p466 :rule cong :premises (@p465) :args ((forall @t256 @t490))) % 0.44/0.88 (step @p467 :rule trans :premises (@p466 @p457)) % 0.44/0.88 (step @p468 :rule trans :premises (@p467 @p456)) % 0.44/0.88 (step @p469 :rule bool-implies-de-morgan :args (@t286 @t485)) % 0.44/0.88 (step @p470 :rule nary_cong :premises (@p460 @p459 @p469) :args 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(@p756 @p384)) % 0.44/0.88 (step @p758 :rule eq_resolve :premises (@p209 @p757)) % 0.44/0.88 (step @p759 :rule aci_norm :args ((= @t581 @t580))) % 0.44/0.88 (step @p760 :rule cong :premises (@p408 @p759) :args (@t582)) % 0.44/0.88 (step @p761 :rule cong :premises (@p760) :args (@t583)) % 0.44/0.88 (step @p762 :rule cong :premises (@p761) :args (@t584)) % 0.44/0.88 (step @p763 :rule cong :premises (@p762) :args (@t585)) % 0.44/0.88 (step @p764 :rule cong :premises (@p763) :args (@t586)) % 0.44/0.88 (step @p765 :rule refl :args (@t587)) % 0.44/0.88 (step @p766 :rule nary_cong :premises (@p765 @p764) :args (@t588)) % 0.44/0.88 (step @p767 :rule cong :premises (@p766) :args (@t589)) % 0.44/0.88 (step @p768 :rule true_intro :premises (@p767)) % 0.44/0.88 (step @p769 :rule eq-symm :args (@t592 @t589)) % 0.44/0.88 (step @p770 :rule trans :premises (@p769 @p768)) % 0.44/0.88 (step @p771 :rule refl :args (@t374)) % 0.44/0.88 (step @p772 :rule refl :args (@t576)) % 0.44/0.88 (step @p773 :rule 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@p788 :rule cong :premises (@p787) :args (@t603)) % 0.44/0.88 (step @p789 :rule refl :args (@t592)) % 0.44/0.88 (step @p790 :rule cong :premises (@p789 @p788) :args ((= @t592 @t603))) % 0.44/0.88 (step @p791 :rule eq-symm :args (@t603 @t592)) % 0.44/0.88 (step @p792 :rule trans :premises (@p791 @p790)) % 0.44/0.88 (step @p793 :rule trans :premises (@p792 @p770)) % 0.44/0.88 (step @p794 :rule true_elim :premises (@p793)) % 0.44/0.88 (step @p795 :rule alpha_equiv :args ((forall (@list @t604) (or (not (tptp.ordinal @t604)) (not (forall (@list @t609) (not (forall (@list @t605) (= (tptp.in @t605 @t609) (and (tptp.ordinal @t605) (or (not (tptp.in @t605 tptp.omega)) (forall (@list @t608) (or (not (tptp.element @t608 (tptp.powerset (tptp.powerset @t605)))) (= tptp.empty_set @t608) (not (forall (@list @t607) (or (not (tptp.in @t607 @t608)) (not (forall (@list @t606) (or (not (tptp.in @t606 @t608)) (not (tptp.subset @t607 @t606)) (= @t607 @t606)))))))))) (tptp.in @t605 (tptp.succ @t604)))))))))) @t610 (@list @t1 @t2 @t23 @t55 @t120 @t229))) % 0.44/0.88 (step @p796 :rule alpha_equiv :args (@t611 (@list @t1 @t2 @t23 @t252 @t248 @t246) @t610)) % 0.44/0.88 (step @p797 :rule trans :premises (@p796 @p795 @p794)) % 0.44/0.88 (step @p798 :rule equiv_elim1 :premises (@p797)) % 0.44/0.88 (step @p799 :rule reordering :premises (@p798) :args ((or @t592 (not @t611)))) % 0.44/0.88 (step @p800 :rule chain_m_resolution :premises (@p799 @p758) :args (@t592 @t612 (@list @t611))) % 0.44/0.88 (step @p801 :rule bool-impl-elim :args (@t14 @t591)) % 0.44/0.88 (step @p802 :rule cong :premises (@p801) :args ((forall @t15 (=> @t14 @t591)))) % 0.44/0.88 (step @p803 :rule exists-elim :args ((= (exists @t13 @t590) @t591))) % 0.44/0.88 (step @p804 :rule aci_norm :args ((= (and @t374 (and @t238 @t579)) @t580))) % 0.44/0.88 (step @p805 :rule bool-double-not-elim :args (@t578)) % 0.44/0.88 (step @p806 :rule nary_cong :premises (@p389 @p805) :args ((or @t453 (not @t613)))) % 0.44/0.88 (step @p807 :rule 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nary_cong :premises (@p431 @p415 @p820) :args (@t619)) % 0.44/0.88 (step @p822 :rule trans :premises (@p821 @p819)) % 0.44/0.88 (step @p823 :rule quant-var-elim-eq :args ((= (forall @t67 (or @t468 @t517 @t154 @t623)) @t619))) % 0.44/0.88 (step @p824 :rule refl :args (@t623)) % 0.44/0.88 (step @p825 :rule refl :args (@t517)) % 0.44/0.88 (step @p826 :rule nary_cong :premises (@p423 @p825 @p420 @p824) :args (@t624)) % 0.44/0.88 (step @p827 :rule aci_norm :args ((= @t625 @t624))) % 0.44/0.88 (step @p828 :rule trans :premises (@p827 @p826)) % 0.44/0.88 (step @p829 :rule cong :premises (@p828) :args ((forall @t67 @t625))) % 0.44/0.88 (step @p830 :rule trans :premises (@p829 @p823)) % 0.44/0.88 (step @p831 :rule trans :premises (@p830 @p822)) % 0.44/0.88 (step @p832 :rule bool-implies-de-morgan :args (@t370 @t622)) % 0.44/0.88 (step @p833 :rule nary_cong :premises (@p825 @p420 @p832) :args (@t628)) % 0.44/0.88 (step @p834 :rule aci_norm :args ((= (or @t517 (or @t154 @t627)) @t628))) % 0.44/0.88 (step @p835 :rule bool-and-de-morgan :args (@t44 @t626 true)) % 0.44/0.88 (step @p836 :rule nary_cong :premises (@p825 @p835) :args ((or @t517 (not (and @t44 @t626))))) % 0.44/0.88 (step @p837 :rule bool-and-de-morgan :args (@t348 @t44 (and @t626))) % 0.44/0.88 (step @p838 :rule trans :premises (@p837 @p836)) % 0.44/0.88 (step @p839 :rule trans :premises (@p838 @p834)) % 0.44/0.88 (step @p840 :rule trans :premises (@p839 @p833)) % 0.44/0.88 (step @p841 :rule cong :premises (@p840) :args (@t630)) % 0.44/0.88 (step @p842 :rule trans :premises (@p841 @p831)) % 0.44/0.88 (step @p843 :rule cong :premises (@p842) :args (@t631)) % 0.44/0.88 (step @p844 :rule exists-elim :args ((= (exists @t67 @t629) @t631))) % 0.44/0.88 (step @p845 :rule trans :premises (@p844 @p843)) % 0.44/0.88 (step @p846 :rule aci_norm :args ((= (or @t620 (or @t362 @t576)) @t621))) % 0.44/0.88 (step @p847 :rule refl :args (@t576)) % 0.44/0.88 (step @p848 :rule bool-double-not-elim :args (@t362)) % 0.44/0.88 (step @p849 :rule nary_cong :premises (@p848 @p847) :args ((or (not @t363) @t576))) % 0.44/0.88 (step @p850 :rule bool-and-de-morgan :args (@t363 @t575 true)) % 0.44/0.88 (step @p851 :rule trans :premises (@p850 @p849)) % 0.44/0.88 (step @p852 :rule refl :args (@t620)) % 0.44/0.88 (step @p853 :rule nary_cong :premises (@p852 @p851) :args ((or @t620 @t632))) % 0.44/0.88 (step @p854 :rule trans :premises (@p853 @p846)) % 0.44/0.88 (step @p855 :rule bool-impl-elim :args (@t367 @t632)) % 0.44/0.88 (step @p856 :rule trans :premises (@p855 @p854)) % 0.44/0.88 (step @p857 :rule cong :premises (@p856) :args ((forall @t65 (=> @t367 @t632)))) % 0.44/0.88 (step @p858 :rule bool-and-de-morgan :args (@t358 @t574 true)) % 0.44/0.88 (step @p859 :rule cong :premises (@p858) :args ((forall @t163 (not (and @t358 @t574))))) % 0.44/0.88 (step @p860 :rule aci_norm :args ((= (or (or @t572 @t571) @t570) @t573))) % 0.44/0.88 (step @p861 :rule refl :args (@t570)) % 0.44/0.88 (step @p862 :rule 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% 0.44/0.88 (step @p877 :rule trans :premises (@p876 @p859)) % 0.44/0.88 (step @p878 :rule refl :args (@t363)) % 0.44/0.88 (step @p879 :rule nary_cong :premises (@p878 @p877) :args (@t364)) % 0.44/0.88 (step @p880 :rule cong :premises (@p879) :args (@t365)) % 0.44/0.88 (step @p881 :rule refl :args (@t367)) % 0.44/0.88 (step @p882 :rule cong :premises (@p881 @p880) :args (@t368)) % 0.44/0.88 (step @p883 :rule cong :premises (@p882) :args (@t369)) % 0.44/0.88 (step @p884 :rule trans :premises (@p883 @p857)) % 0.44/0.88 (step @p885 :rule refl :args (@t370)) % 0.44/0.88 (step @p886 :rule cong :premises (@p885 @p884) :args (@t371)) % 0.44/0.88 (step @p887 :rule refl :args (@t348)) % 0.44/0.88 (step @p888 :rule nary_cong :premises (@p887 @p546 @p886) :args (@t372)) % 0.44/0.88 (step @p889 :rule cong :premises (@p888) :args (@t373)) % 0.44/0.88 (step @p890 :rule trans :premises (@p889 @p845)) % 0.44/0.88 (step @p891 :rule nary_cong :premises (@p771 @p890) :args (@t375)) % 0.44/0.88 (step @p892 :rule cong :premises (@p535 @p891) :args (@t376)) % 0.44/0.88 (step @p893 :rule cong :premises (@p892) :args (@t377)) % 0.44/0.88 (step @p894 :rule trans :premises (@p893 @p818)) % 0.44/0.88 (step @p895 :rule cong :premises (@p894) :args (@t378)) % 0.44/0.88 (step @p896 :rule trans :premises (@p895 @p803)) % 0.44/0.88 (step @p897 :rule cong :premises (@p754 @p896) :args (@t379)) % 0.44/0.88 (step @p898 :rule cong :premises (@p897) :args (@t380)) % 0.44/0.88 (step @p899 :rule trans :premises (@p898 @p802)) % 0.44/0.88 (step @p900 :rule cong :premises (@p899) :args (@t381)) % 0.44/0.88 (step @p901 :rule eq_resolve :premises (@p217 @p900)) % 0.44/0.88 (step @p902 false :rule chain_m_resolution :premises (@p901 @p800) :args (false @t612 (@list @t592))) % 0.44/0.88 ) % 0.44/0.88 % SZS output end Proof % 0.44/0.88 % cvc5 exiting %------------------------------------------------------------------------------