%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU284+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 : n016.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 08:51:14 AM UTC 2026 % Result : Theorem 0.42s 0.76s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU284+2 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n016.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 16:51:39 EDT 2026 % 0.16/0.33 % CPUTime : % 0.38/0.57 %----Proving TF0_NAR, FOF, or CNF % 0.42/0.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.42/0.76 % SZS status Theorem % 0.42/0.76 % SZS output start Proof % 0.42/0.76 ( % 0.42/0.76 (declare-sort $$unsorted 0) % 0.42/0.76 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.function (-> $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.empty_set $$unsorted) % 0.42/0.76 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.42/0.76 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.76 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.76 (define @t1 () (@var "A" $$unsorted)) % 0.42/0.76 (define @t2 () (@var "B" $$unsorted)) % 0.42/0.76 (define @t3 () (tptp.in @t2 @t1)) % 0.42/0.76 (define @t4 () (not @t3)) % 0.42/0.76 (define @t5 () (tptp.in @t1 @t2)) % 0.42/0.76 (define @t6 () (@list @t1 @t2)) % 0.42/0.76 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.42/0.76 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.42/0.76 (define @t9 () (tptp.function @t1)) % 0.42/0.76 (define @t10 () (tptp.empty @t1)) % 0.42/0.76 (define @t11 () (@list @t1)) % 0.42/0.76 (define @t12 () (tptp.epsilon_connected @t1)) % 0.42/0.76 (define @t13 () (tptp.epsilon_transitive @t1)) % 0.42/0.76 (define @t14 () (and @t13 @t12)) % 0.42/0.76 (define @t15 () (tptp.ordinal @t1)) % 0.42/0.76 (define @t16 () (tptp.relation @t1)) % 0.42/0.76 (define @t17 () (@var "C" $$unsorted)) % 0.42/0.76 (define @t18 () (tptp.relation @t17)) % 0.42/0.76 (define @t19 () (tptp.cartesian_product2 @t1 @t2)) % 0.42/0.76 (define @t20 () (tptp.element @t17 (tptp.powerset @t19))) % 0.42/0.76 (define @t21 () (@list @t1 @t2 @t17)) % 0.42/0.76 (define @t22 () (tptp.one_to_one @t1)) % 0.42/0.76 (define @t23 () (and @t16 @t9 @t22)) % 0.42/0.76 (define @t24 () (and @t16 @t10 @t9)) % 0.42/0.76 (define @t25 () (and @t13 @t12 @t15)) % 0.42/0.76 (define @t26 () (tptp.unordered_pair @t1 @t2)) % 0.42/0.76 (define @t27 () (tptp.set_union2 @t2 @t1)) % 0.42/0.76 (define @t28 () (tptp.set_union2 @t1 @t2)) % 0.42/0.76 (define @t29 () (tptp.set_intersection2 @t1 @t2)) % 0.42/0.76 (define @t30 () (tptp.ordinal_subset @t1 @t2)) % 0.42/0.76 (define @t31 () (tptp.ordinal @t2)) % 0.42/0.76 (define @t32 () (and @t15 @t31)) % 0.42/0.76 (define @t33 () (@var "D" $$unsorted)) % 0.42/0.76 (define @t34 () (= @t17 @t33)) % 0.42/0.76 (define @t35 () (tptp.in @t17 @t1)) % 0.42/0.76 (define @t36 () (tptp.ordered_pair @t17 @t33)) % 0.42/0.76 (define @t37 () (tptp.in @t36 @t2)) % 0.42/0.76 (define @t38 () (@list @t17 @t33)) % 0.42/0.76 (define @t39 () (tptp.identity_relation @t1)) % 0.42/0.76 (define @t40 () (= @t2 @t39)) % 0.42/0.76 (define @t41 () (tptp.relation @t2)) % 0.42/0.76 (define @t42 () (tptp.subset @t2 @t1)) % 0.42/0.76 (define @t43 () (tptp.subset @t1 @t2)) % 0.42/0.76 (define @t44 () (= @t1 @t2)) % 0.42/0.76 (define @t45 () (@var "E" $$unsorted)) % 0.42/0.76 (define @t46 () (tptp.ordered_pair @t33 @t45)) % 0.42/0.76 (define @t47 () (tptp.in @t46 @t1)) % 0.42/0.76 (define @t48 () (tptp.in @t33 @t2)) % 0.42/0.76 (define @t49 () (tptp.in @t46 @t17)) % 0.42/0.76 (define @t50 () (@list @t33 @t45)) % 0.42/0.76 (define @t51 () (tptp.relation_dom_restriction @t1 @t2)) % 0.42/0.76 (define @t52 () (@list @t2 @t17)) % 0.42/0.76 (define @t53 () (tptp.in @t45 @t2)) % 0.42/0.76 (define @t54 () (tptp.relation_dom @t1)) % 0.42/0.76 (define @t55 () (@list @t45)) % 0.42/0.76 (define @t56 () (tptp.in @t33 @t17)) % 0.42/0.76 (define @t57 () (@list @t33)) % 0.42/0.76 (define @t58 () (= @t17 (tptp.relation_image @t1 @t2))) % 0.42/0.76 (define @t59 () (and @t16 @t9)) % 0.42/0.76 (define @t60 () (tptp.in @t45 @t1)) % 0.42/0.76 (define @t61 () (tptp.relation_rng_restriction @t1 @t2)) % 0.42/0.76 (define @t62 () (@list @t17)) % 0.42/0.76 (define @t63 () (tptp.relation_field @t1)) % 0.42/0.76 (define @t64 () (tptp.antisymmetric @t1)) % 0.42/0.76 (define @t65 () (tptp.apply @t1 @t33)) % 0.42/0.76 (define @t66 () (tptp.in @t33 @t54)) % 0.42/0.76 (define @t67 () (= @t17 (tptp.relation_inverse_image @t1 @t2))) % 0.42/0.76 (define @t68 () (tptp.ordered_pair @t45 @t33)) % 0.42/0.76 (define @t69 () (tptp.connected @t1)) % 0.42/0.76 (define @t70 () (tptp.transitive @t1)) % 0.42/0.76 (define @t71 () (tptp.in @t45 @t33)) % 0.42/0.76 (define @t72 () (@list @t1 @t2 @t17 @t33)) % 0.42/0.76 (define @t73 () (tptp.in (tptp.ordered_pair @t2 @t33) @t1)) % 0.42/0.76 (define @t74 () (tptp.ordered_pair @t2 @t17)) % 0.42/0.76 (define @t75 () (tptp.in @t74 @t1)) % 0.42/0.76 (define @t76 () (@list @t2 @t17 @t33)) % 0.42/0.76 (define @t77 () (= @t2 @t17)) % 0.42/0.76 (define @t78 () (= @t1 @t36)) % 0.42/0.76 (define @t79 () (@list @t2)) % 0.42/0.76 (define @t80 () (exists @t52 (= @t1 @t74))) % 0.42/0.76 (define @t81 () (tptp.singleton @t1)) % 0.42/0.76 (define @t82 () (tptp.succ @t1)) % 0.42/0.76 (define @t83 () (tptp.in @t17 @t2)) % 0.42/0.76 (define @t84 () (tptp.is_reflexive_in @t1 @t2)) % 0.42/0.76 (define @t85 () (tptp.relation_of2 @t17 @t1 @t2)) % 0.42/0.76 (define @t86 () (= @t2 tptp.empty_set)) % 0.42/0.76 (define @t87 () (= @t2 (tptp.set_meet @t1))) % 0.42/0.76 (define @t88 () (= @t1 tptp.empty_set)) % 0.42/0.76 (define @t89 () (tptp.in @t17 @t33)) % 0.42/0.76 (define @t90 () (tptp.in @t33 @t1)) % 0.42/0.76 (define @t91 () (not @t88)) % 0.42/0.76 (define @t92 () (= @t33 @t2)) % 0.42/0.76 (define @t93 () (tptp.subset @t17 @t33)) % 0.42/0.76 (define @t94 () (tptp.relation_field @t2)) % 0.42/0.76 (define @t95 () (tptp.inclusion_relation @t1)) % 0.42/0.76 (define @t96 () (tptp.powerset @t1)) % 0.42/0.76 (define @t97 () (= @t2 @t33)) % 0.42/0.76 (define @t98 () (tptp.in @t36 @t1)) % 0.42/0.76 (define @t99 () (tptp.empty @t2)) % 0.42/0.76 (define @t100 () (tptp.element @t2 @t1)) % 0.42/0.76 (define @t101 () (not @t10)) % 0.42/0.76 (define @t102 () (not @t86)) % 0.42/0.76 (define @t103 () (tptp.well_founded_relation @t1)) % 0.42/0.76 (define @t104 () (@var "F" $$unsorted)) % 0.42/0.76 (define @t105 () (tptp.ordered_pair @t45 @t104)) % 0.42/0.76 (define @t106 () (@list @t45 @t104)) % 0.42/0.76 (define @t107 () (not @t83)) % 0.42/0.76 (define @t108 () (not @t77)) % 0.42/0.76 (define @t109 () (tptp.in @t2 @t17)) % 0.42/0.76 (define @t110 () (forall @t62 (=> @t35 @t83))) % 0.42/0.76 (define @t111 () (= @t17 tptp.empty_set)) % 0.42/0.76 (define @t112 () (tptp.subset @t17 @t2)) % 0.42/0.76 (define @t113 () (tptp.is_well_founded_in @t1 @t2)) % 0.42/0.76 (define @t114 () (tptp.apply @t1 @t2)) % 0.42/0.76 (define @t115 () (= @t17 @t114)) % 0.42/0.76 (define @t116 () (tptp.in @t2 @t54)) % 0.42/0.76 (define @t117 () (tptp.in (tptp.ordered_pair @t33 @t17) @t1)) % 0.42/0.76 (define @t118 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.42/0.76 (define @t119 () (tptp.cast_to_subset @t1)) % 0.42/0.76 (define @t120 () (tptp.union @t1)) % 0.42/0.76 (define @t121 () (tptp.reflexive @t1)) % 0.42/0.76 (define @t122 () (tptp.well_ordering @t1)) % 0.42/0.76 (define @t123 () (tptp.relation_rng @t17)) % 0.42/0.76 (define @t124 () (tptp.relation_dom @t17)) % 0.42/0.76 (define @t125 () (tptp.one_to_one @t17)) % 0.42/0.76 (define @t126 () (tptp.function @t17)) % 0.42/0.76 (define @t127 () (tptp.equipotent @t1 @t2)) % 0.42/0.76 (define @t128 () (tptp.set_difference @t1 @t2)) % 0.42/0.76 (define @t129 () (and @t66 (= @t17 @t65))) % 0.42/0.76 (define @t130 () (tptp.relation_rng @t1)) % 0.42/0.76 (define @t131 () (= @t2 @t130)) % 0.42/0.76 (define @t132 () (tptp.subset_complement @t1 @t2)) % 0.42/0.76 (define @t133 () (tptp.element @t2 @t96)) % 0.42/0.76 (define @t134 () (tptp.ordered_pair @t1 @t2)) % 0.42/0.76 (define @t135 () (tptp.is_connected_in @t1 @t2)) % 0.42/0.76 (define @t136 () (tptp.is_transitive_in @t1 @t2)) % 0.42/0.76 (define @t137 () (tptp.being_limit_ordinal @t1)) % 0.42/0.76 (define @t138 () (tptp.cartesian_product2 @t2 @t2)) % 0.42/0.76 (define @t139 () (tptp.relation_restriction @t1 @t2)) % 0.42/0.76 (define @t140 () (tptp.relation_inverse @t1)) % 0.42/0.76 (define @t141 () (tptp.apply @t17 @t45)) % 0.42/0.76 (define @t142 () (tptp.apply @t17 @t33)) % 0.42/0.76 (define @t143 () (tptp.relation_isomorphism @t1 @t2 @t17)) % 0.42/0.76 (define @t144 () (and @t18 @t126)) % 0.42/0.76 (define @t145 () (tptp.disjoint @t1 @t2)) % 0.42/0.76 (define @t146 () (@list @t104)) % 0.42/0.76 (define @t147 () (tptp.relation_composition @t1 @t2)) % 0.42/0.76 (define @t148 () (@list @t17 @t33 @t45)) % 0.42/0.76 (define @t149 () (tptp.complements_of_subsets @t1 @t2)) % 0.42/0.76 (define @t150 () (tptp.powerset @t96)) % 0.42/0.76 (define @t151 () (tptp.element @t2 @t150)) % 0.42/0.76 (define @t152 () (not @t44)) % 0.42/0.76 (define @t153 () (tptp.function_inverse @t1)) % 0.42/0.76 (define @t154 () (tptp.relation @t140)) % 0.42/0.76 (define @t155 () (tptp.relation_dom_as_subset @t1 @t2 @t17)) % 0.42/0.76 (define @t156 () (tptp.relation @t147)) % 0.42/0.76 (define @t157 () (and @t16 @t41)) % 0.42/0.76 (define @t158 () (tptp.powerset @t2)) % 0.42/0.76 (define @t159 () (tptp.relation_rng_as_subset @t1 @t2 @t17)) % 0.42/0.76 (define @t160 () (tptp.union_of_subsets @t1 @t2)) % 0.42/0.76 (define @t161 () (tptp.relation @t39)) % 0.42/0.76 (define @t162 () (tptp.meet_of_subsets @t1 @t2)) % 0.42/0.76 (define @t163 () (tptp.subset_difference @t1 @t2 @t17)) % 0.42/0.76 (define @t164 () (tptp.element @t17 @t96)) % 0.42/0.76 (define @t165 () (and @t133 @t164)) % 0.42/0.76 (define @t166 () (tptp.relation @t51)) % 0.42/0.76 (define @t167 () (tptp.relation @t61)) % 0.42/0.76 (define @t168 () (tptp.relation_of2_as_subset @t17 @t1 @t2)) % 0.42/0.76 (define @t169 () (tptp.relation_composition @t2 @t1)) % 0.42/0.76 (define @t170 () (and @t10 @t41)) % 0.42/0.76 (define @t171 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.42/0.76 (define @t172 () (tptp.relation tptp.empty_set)) % 0.42/0.76 (define @t173 () (tptp.empty tptp.empty_set)) % 0.42/0.76 (define @t174 () (tptp.relation_empty_yielding @t1)) % 0.42/0.76 (define @t175 () (and @t16 @t174)) % 0.42/0.76 (define @t176 () (tptp.function @t2)) % 0.42/0.76 (define @t177 () (not (tptp.empty @t82))) % 0.42/0.76 (define @t178 () (not @t99)) % 0.42/0.76 (define @t179 () (and @t41 @t176)) % 0.42/0.76 (define @t180 () (tptp.empty @t54)) % 0.42/0.76 (define @t181 () (and @t101 @t16)) % 0.42/0.76 (define @t182 () (tptp.empty @t130)) % 0.42/0.76 (define @t183 () (tptp.in @t2 @t63)) % 0.42/0.76 (define @t184 () (tptp.disjoint @t81 @t2)) % 0.42/0.76 (define @t185 () (not @t5)) % 0.42/0.76 (define @t186 () (tptp.relation_dom @t2)) % 0.42/0.76 (define @t187 () (tptp.well_ordering @t2)) % 0.42/0.76 (define @t188 () (tptp.in (tptp.ordered_pair @t17 @t2) @t1)) % 0.42/0.76 (define @t189 () (tptp.singleton @t17)) % 0.42/0.76 (define @t190 () (not @t75)) % 0.42/0.76 (define @t191 () (tptp.singleton @t2)) % 0.42/0.76 (define @t192 () (tptp.union @t2)) % 0.42/0.76 (define @t193 () (tptp.in @t1 @t17)) % 0.42/0.76 (define @t194 () (tptp.element @t1 @t158)) % 0.42/0.76 (define @t195 () (tptp.relation_dom_restriction @t17 @t1)) % 0.42/0.76 (define @t196 () (tptp.in @t2 (tptp.relation_dom @t195))) % 0.42/0.76 (define @t197 () (tptp.set_difference @t2 @t17)) % 0.42/0.76 (define @t198 () (= @t33 @t191)) % 0.42/0.76 (define @t199 () (= @t17 @t191)) % 0.42/0.76 (define @t200 () (forall @t76 (=> (and @t3 @t199 @t3 @t198) @t34))) % 0.42/0.76 (define @t201 () (tptp.ordinal @t17)) % 0.42/0.76 (define @t202 () (tptp.apply @t17 @t104)) % 0.42/0.76 (define @t203 () (tptp.in @t104 @t1)) % 0.42/0.76 (define @t204 () (tptp.relation @t33)) % 0.42/0.76 (define @t205 () (and @t41 @t18 @t126)) % 0.42/0.76 (define @t206 () (@var "J" $$unsorted)) % 0.42/0.76 (define @t207 () (@var "K" $$unsorted)) % 0.42/0.76 (define @t208 () (= @t45 @t33)) % 0.42/0.76 (define @t209 () (= @t33 @t45)) % 0.42/0.76 (define @t210 () (@var "H" $$unsorted)) % 0.42/0.76 (define @t211 () (@var "I" $$unsorted)) % 0.42/0.76 (define @t212 () (tptp.in @t210 @t1)) % 0.42/0.76 (define @t213 () (= @t17 @t45)) % 0.42/0.76 (define @t214 () (@var "G" $$unsorted)) % 0.42/0.76 (define @t215 () (tptp.ordered_pair @t104 @t214)) % 0.42/0.76 (define @t216 () (@list @t104 @t214)) % 0.42/0.76 (define @t217 () (@var "L" $$unsorted)) % 0.42/0.76 (define @t218 () (tptp.cartesian_product2 @t1 @t1)) % 0.42/0.76 (define @t219 () (= @t33 @t104)) % 0.42/0.76 (define @t220 () (tptp.apply @t17 @t214)) % 0.42/0.76 (define @t221 () (tptp.ordinal @t33)) % 0.42/0.76 (define @t222 () (tptp.succ @t2)) % 0.42/0.76 (define @t223 () (tptp.apply @t2 @t17)) % 0.42/0.76 (define @t224 () (=> @t35 (= @t223 @t189))) % 0.42/0.76 (define @t225 () (forall @t62 @t224)) % 0.42/0.76 (define @t226 () (= @t186 @t1)) % 0.42/0.76 (define @t227 () (and @t41 @t176 @t226 @t225)) % 0.42/0.76 (define @t228 () (exists @t79 @t227)) % 0.42/0.76 (define @t229 () (not @t199)) % 0.42/0.76 (define @t230 () (forall @t62 @t229)) % 0.42/0.76 (define @t231 () (and @t3 @t230)) % 0.42/0.76 (define @t232 () (not @t231)) % 0.42/0.76 (define @t233 () (forall @t79 @t232)) % 0.42/0.76 (define @t234 () (and @t3 @t199 @t198)) % 0.42/0.76 (define @t235 () (forall @t76 (=> @t234 @t34))) % 0.42/0.76 (define @t236 () (and @t235 @t233)) % 0.42/0.76 (define @t237 () (=> @t236 @t228)) % 0.42/0.76 (define @t238 () (forall @t11 @t237)) % 0.42/0.76 (define @t239 () (forall @t11 @t228)) % 0.42/0.76 (define @t240 () (not @t239)) % 0.42/0.76 (define @t241 () (= @t1 @t17)) % 0.42/0.76 (define @t242 () (tptp.relation_rng @t61)) % 0.42/0.76 (define @t243 () (tptp.relation_rng @t2)) % 0.42/0.76 (define @t244 () (tptp.cartesian_product2 @t1 @t17)) % 0.42/0.76 (define @t245 () (forall @t62 (not (and @t112 (not (tptp.are_equipotent @t17 @t2)) @t107)))) % 0.42/0.76 (define @t246 () (tptp.powerset @t17)) % 0.42/0.76 (define @t247 () (forall @t38 (=> (and @t83 (tptp.subset @t33 @t17)) @t48))) % 0.42/0.76 (define @t248 () (tptp.relation_dom_restriction @t17 @t2)) % 0.42/0.76 (define @t249 () (tptp.relation_image @t2 @t1)) % 0.42/0.76 (define @t250 () (tptp.relation_inverse_image @t2 @t1)) % 0.42/0.76 (define @t251 () (tptp.relation_image @t2 @t250)) % 0.42/0.76 (define @t252 () (tptp.set_intersection2 @t186 @t1)) % 0.42/0.76 (define @t253 () (tptp.subset @t1 @t243)) % 0.42/0.76 (define @t254 () (tptp.relation_of2_as_subset @t33 @t17 @t2)) % 0.42/0.76 (define @t255 () (tptp.relation_of2_as_subset @t33 @t17 @t1)) % 0.42/0.76 (define @t256 () (tptp.relation_rng @t147)) % 0.42/0.76 (define @t257 () (tptp.relation_inverse_image @t17 @t2)) % 0.42/0.76 (define @t258 () (tptp.relation_restriction @t17 @t2)) % 0.42/0.76 (define @t259 () (tptp.relation_restriction @t2 @t1)) % 0.42/0.76 (define @t260 () (tptp.relation_dom_restriction @t2 @t1)) % 0.42/0.76 (define @t261 () (tptp.relation_field @t17)) % 0.42/0.76 (define @t262 () (tptp.in @t1 @t261)) % 0.42/0.76 (define @t263 () (tptp.set_intersection2 @t2 @t17)) % 0.42/0.76 (define @t264 () (tptp.subset @t1 @t17)) % 0.42/0.76 (define @t265 () (tptp.element @t1 @t2)) % 0.42/0.76 (define @t266 () (tptp.in @t1 @t124)) % 0.42/0.76 (define @t267 () (tptp.in @t134 @t17)) % 0.42/0.76 (define @t268 () (tptp.relation_field @t259)) % 0.42/0.76 (define @t269 () (tptp.apply @t17 @t1)) % 0.42/0.76 (define @t270 () (tptp.relation_composition @t17 @t2)) % 0.42/0.76 (define @t271 () (tptp.in @t1 (tptp.relation_dom @t270))) % 0.42/0.76 (define @t272 () (tptp.reflexive @t2)) % 0.42/0.76 (define @t273 () (tptp.connected @t2)) % 0.42/0.76 (define @t274 () (tptp.transitive @t2)) % 0.42/0.76 (define @t275 () (tptp.antisymmetric @t2)) % 0.42/0.76 (define @t276 () (tptp.well_ordering @t259)) % 0.42/0.76 (define @t277 () (= @t268 @t1)) % 0.42/0.76 (define @t278 () (tptp.well_founded_relation @t2)) % 0.42/0.76 (define @t279 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.42/0.76 (define @t280 () (and @t35 @t83)) % 0.42/0.76 (define @t281 () (not @t145)) % 0.42/0.76 (define @t282 () (= @t1 @t222)) % 0.42/0.76 (define @t283 () (tptp.subset_complement @t1 @t17)) % 0.42/0.76 (define @t284 () (tptp.disjoint @t2 @t17)) % 0.42/0.76 (define @t285 () (tptp.relation_dom @t147)) % 0.42/0.76 (define @t286 () (tptp.element @t2 @t246)) % 0.42/0.76 (define @t287 () (tptp.in @t17 @t29)) % 0.42/0.76 (define @t288 () (and (tptp.in @t17 @t130) (= @t33 @t223))) % 0.42/0.76 (define @t289 () (tptp.function_inverse @t2)) % 0.42/0.76 (define @t290 () (= @t130 tptp.empty_set)) % 0.42/0.76 (define @t291 () (= @t54 tptp.empty_set)) % 0.42/0.76 (define @t292 () (= (tptp.apply @t195 @t2) (tptp.apply @t17 @t2))) % 0.42/0.76 (define @t293 () (= @t81 (tptp.unordered_pair @t2 @t17))) % 0.42/0.76 (define @t294 () (= @t189 @t223)) % 0.42/0.76 (define @t295 () (forall @t62 (or (not @t35) @t294))) % 0.42/0.76 (define @t296 () (not @t295)) % 0.42/0.76 (define @t297 () (= @t1 @t186)) % 0.42/0.76 (define @t298 () (not @t297)) % 0.42/0.76 (define @t299 () (not @t176)) % 0.42/0.76 (define @t300 () (not @t41)) % 0.42/0.76 (define @t301 () (or @t300 @t299 @t298 @t296)) % 0.42/0.76 (define @t302 () (not (forall @t79 @t301))) % 0.42/0.76 (define @t303 () (and @t41 @t176 @t297 @t295)) % 0.42/0.76 (define @t304 () (forall @t79 (not @t303))) % 0.42/0.76 (define @t305 () (not @t304)) % 0.42/0.76 (define @t306 () (not (= @t191 @t191))) % 0.42/0.76 (define @t307 () (or @t229 @t229)) % 0.42/0.76 (define @t308 () (@list @t2 @t33)) % 0.42/0.76 (define @t309 () (not @t198)) % 0.42/0.76 (define @t310 () (or @t4 @t309 @t198)) % 0.42/0.76 (define @t311 () (or @t4 @t306 @t309 (= @t191 @t33))) % 0.42/0.76 (define @t312 () (or @t229 @t4 @t229 @t309 @t34)) % 0.42/0.76 (define @t313 () (or @t4 @t229 @t309 @t34)) % 0.42/0.76 (define @t314 () (forall @t62 @t313)) % 0.42/0.76 (define @t315 () (forall @t308 @t314)) % 0.42/0.76 (define @t316 () (forall (@list @t2 @t33 @t17) @t313)) % 0.42/0.76 (define @t317 () (or @t4 @t229 @t309)) % 0.42/0.76 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.42/0.76 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.42/0.76 (assume @p3 (forall @t11 (=> @t10 @t9))) % 0.42/0.76 (assume @p4 (forall @t11 (=> @t15 @t14))) % 0.42/0.76 (assume @p5 (forall @t11 (=> @t10 @t16))) % 0.42/0.76 (assume @p6 (forall @t21 (=> @t20 @t18))) % 0.42/0.76 (assume @p7 (forall @t11 (=> @t24 @t23))) % 0.42/0.76 (assume @p8 (forall @t11 (=> @t14 @t15))) % 0.42/0.76 (assume @p9 (forall @t11 (=> @t10 @t25))) % 0.42/0.76 (assume @p10 (forall @t6 (= @t26 (tptp.unordered_pair @t2 @t1)))) % 0.42/0.76 (assume @p11 (forall @t6 (= @t28 @t27))) % 0.42/0.76 (assume @p12 (forall @t6 (= @t29 (tptp.set_intersection2 @t2 @t1)))) % 0.42/0.76 (assume @p13 (forall @t6 (=> @t32 (or @t30 (tptp.ordinal_subset @t2 @t1))))) % 0.42/0.76 (assume @p14 (forall @t6 (=> @t41 (= @t40 (forall @t38 (= @t37 (and @t35 @t34))))))) % 0.42/0.76 (assume @p15 (forall @t6 (= @t44 (and @t43 @t42)))) % 0.42/0.76 (assume @p16 (forall @t11 (=> @t16 (forall @t52 (=> @t18 (= (= @t17 @t51) (forall @t50 (= @t49 (and @t48 @t47))))))))) % 0.42/0.76 (assume @p17 (forall @t11 (=> @t59 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t54) @t53 (= @t33 (tptp.apply @t1 @t45))))))))))) % 0.42/0.76 (assume @p18 (forall @t6 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t61) (forall @t50 (= @t49 (and @t60 (tptp.in @t46 @t2)))))))))) % 0.42/0.76 (assume @p19 (forall @t11 (=> @t16 (= @t64 (tptp.is_antisymmetric_in @t1 @t63))))) % 0.42/0.76 (assume @p20 (forall @t11 (=> @t59 (forall @t52 (= @t67 (forall @t57 (= @t56 (and @t66 (tptp.in @t65 @t2))))))))) % 0.42/0.76 (assume @p21 (forall @t11 (=> @t16 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t68 @t1) @t53))))))))) % 0.42/0.76 (assume @p22 (forall @t11 (=> @t16 (forall @t52 (= @t67 (forall @t57 (= @t56 (exists @t55 (and @t47 @t53))))))))) % 0.42/0.76 (assume @p23 (forall @t11 (=> @t16 (= @t69 (tptp.is_connected_in @t1 @t63))))) % 0.42/0.76 (assume @p24 (forall @t11 (=> @t16 (= @t70 (tptp.is_transitive_in @t1 @t63))))) % 0.42/0.76 (assume @p25 (forall @t72 (= (= @t33 (tptp.unordered_triple @t1 @t2 @t17)) (forall @t55 (= @t71 (not (and (not (= @t45 @t1)) (not (= @t45 @t2)) (not (= @t45 @t17))))))))) % 0.42/0.76 (assume @p26 (forall @t11 (= @t9 (forall @t76 (=> (and @t75 @t73) @t34))))) % 0.42/0.76 (assume @p27 (forall @t11 (=> @t80 (forall @t79 (= (= @t2 (tptp.pair_first @t1)) (forall @t38 (=> @t78 @t77))))))) % 0.42/0.76 (assume @p28 (forall @t11 (= @t82 (tptp.set_union2 @t1 @t81)))) % 0.42/0.76 (assume @p29 (forall @t11 (= @t16 (forall @t79 (not (and @t3 (forall @t38 (not (= @t2 @t36))))))))) % 0.42/0.76 (assume @p30 (forall @t11 (=> @t16 (forall @t79 (= @t84 (forall @t62 (=> @t83 (tptp.in (tptp.ordered_pair @t17 @t17) @t1)))))))) % 0.42/0.76 (assume @p31 (forall @t21 (= @t85 (tptp.subset @t17 @t19)))) % 0.42/0.76 (assume @p32 (forall @t6 (and (=> @t91 (= @t87 (forall @t62 (= @t83 (forall @t57 (=> @t90 @t89)))))) (=> @t88 (= @t87 @t86))))) % 0.42/0.76 (assume @p33 (forall @t6 (= (= @t2 @t81) (forall @t62 (= @t83 (= @t17 @t1)))))) % 0.42/0.76 (assume @p34 (forall @t11 (=> @t16 (forall @t52 (= (= @t17 (tptp.fiber @t1 @t2)) (forall @t57 (= @t56 (and (not @t92) (tptp.in (tptp.ordered_pair @t33 @t2) @t1))))))))) % 0.42/0.76 (assume @p35 (forall @t6 (=> @t41 (= (= @t2 @t95) (and (= @t94 @t1) (forall @t38 (=> (and @t35 @t90) (= @t37 @t93)))))))) % 0.42/0.76 (assume @p36 (forall @t11 (= @t88 (forall @t79 @t4)))) % 0.42/0.76 (assume @p37 (forall @t6 (= (= @t2 @t96) (forall @t62 (= @t83 (tptp.subset @t17 @t1)))))) % 0.42/0.76 (assume @p38 (forall @t11 (=> @t80 (forall @t79 (= (= @t2 (tptp.pair_second @t1)) (forall @t38 (=> @t78 @t97))))))) % 0.42/0.76 (assume @p39 (forall @t11 (= @t13 (forall @t79 (=> @t3 @t42))))) % 0.42/0.76 (assume @p40 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (= @t44 (forall @t38 (= @t98 @t37)))))))) % 0.42/0.76 (assume @p41 (forall @t6 (and (=> @t101 (= @t100 @t3)) (=> @t10 (= @t100 @t99))))) % 0.42/0.76 (assume @p42 (forall @t21 (= (= @t17 @t26) (forall @t57 (= @t56 (or (= @t33 @t1) @t92)))))) % 0.42/0.76 (assume @p43 (forall @t11 (=> @t16 (= @t103 (forall @t79 (not (and (tptp.subset @t2 @t63) @t102 (forall @t62 (not (and @t83 (tptp.disjoint (tptp.fiber @t1 @t17) @t2))))))))))) % 0.42/0.76 (assume @p44 (forall @t21 (= (= @t17 @t28) (forall @t57 (= @t56 (or @t90 @t48)))))) % 0.42/0.76 (assume @p45 (forall @t21 (= (= @t17 @t19) (forall @t57 (= @t56 (exists @t106 (and @t60 (tptp.in @t104 @t2) (= @t33 @t105)))))))) % 0.42/0.76 (assume @p46 (forall @t11 (= @t12 (forall @t52 (not (and @t3 @t35 (not @t109) @t108 @t107)))))) % 0.42/0.76 (assume @p47 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (= @t43 (forall @t38 (=> @t98 @t37)))))))) % 0.42/0.76 (assume @p48 (forall @t6 (= @t43 @t110))) % 0.42/0.76 (assume @p49 (forall @t11 (=> @t16 (forall @t79 (= @t113 (forall @t62 (not (and @t112 (not @t111) (forall @t57 (not (and @t56 (tptp.disjoint (tptp.fiber @t1 @t33) @t17)))))))))))) % 0.42/0.76 (assume @p50 (forall @t21 (= (= @t17 @t29) (forall @t57 (= @t56 (and @t90 @t48)))))) % 0.42/0.76 (assume @p51 (forall @t11 (=> @t59 (forall @t52 (and (=> @t116 (= @t115 @t75)) (=> (not @t116) (= @t115 @t111))))))) % 0.42/0.76 (assume @p52 (forall @t11 (= @t15 @t14))) % 0.42/0.76 (assume @p53 (forall @t11 (=> @t16 (forall @t79 (= (= @t2 @t54) (forall @t62 (= @t83 (exists @t57 @t98)))))))) % 0.42/0.76 (assume @p54 (forall @t11 (=> @t16 (forall @t79 (= @t118 (forall @t38 (=> (and @t83 @t48 @t98 @t117) @t34))))))) % 0.42/0.76 (assume @p55 (forall @t11 (= @t119 @t1))) % 0.42/0.76 (assume @p56 (forall @t6 (= (= @t2 @t120) (forall @t62 (= @t83 (exists @t57 (and @t89 @t90))))))) % 0.42/0.76 (assume @p57 (forall @t11 (=> @t16 (= @t122 (and @t121 @t70 @t64 @t69 @t103))))) % 0.42/0.76 (assume @p58 (forall @t6 (= @t127 (exists @t62 (and @t18 @t126 @t125 (= @t124 @t1) (= @t123 @t2)))))) % 0.42/0.76 (assume @p59 (forall @t21 (= (= @t17 @t128) (forall @t57 (= @t56 (and @t90 (not @t48))))))) % 0.42/0.76 (assume @p60 (forall @t11 (=> @t59 (forall @t79 (= @t131 (forall @t62 (= @t83 (exists @t57 @t129)))))))) % 0.42/0.76 (assume @p61 (forall @t11 (=> @t16 (forall @t79 (= @t131 (forall @t62 (= @t83 (exists @t57 @t117)))))))) % 0.42/0.76 (assume @p62 (forall @t6 (=> @t133 (= @t132 @t128)))) % 0.42/0.76 (assume @p63 (forall @t6 (= @t134 (tptp.unordered_pair @t26 @t81)))) % 0.42/0.76 (assume @p64 (forall @t11 (=> @t16 (forall @t79 (= (tptp.well_orders @t1 @t2) (and @t84 @t136 @t118 @t135 @t113)))))) % 0.42/0.76 (assume @p65 (forall @t11 (= @t137 (= @t1 @t120)))) % 0.42/0.76 (assume @p66 (forall @t11 (=> @t16 (= @t63 (tptp.set_union2 @t54 @t130))))) % 0.42/0.76 (assume @p67 (forall @t11 (=> @t16 (forall @t79 (= @t135 (forall @t38 (not (and @t83 @t48 (not @t34) (not @t98) (not @t117))))))))) % 0.42/0.76 (assume @p68 (forall @t11 (=> @t16 (forall @t79 (= @t139 (tptp.set_intersection2 @t1 @t138)))))) % 0.42/0.76 (assume @p69 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (= (= @t2 @t140) (forall @t38 (= @t37 @t117)))))))) % 0.42/0.76 (assume @p70 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (forall @t62 (=> @t144 (= @t143 (and (= @t124 @t63) (= @t123 @t94) @t125 (forall @t50 (= @t47 (and (tptp.in @t33 @t63) (tptp.in @t45 @t63) (tptp.in (tptp.ordered_pair @t142 @t141) @t2))))))))))))) % 0.42/0.76 (assume @p71 (forall @t6 (= @t145 (= @t29 tptp.empty_set)))) % 0.42/0.76 (assume @p72 (forall @t11 (=> @t59 (= @t22 (forall @t52 (=> (and @t116 (tptp.in @t17 @t54) (= @t114 (tptp.apply @t1 @t17))) @t77)))))) % 0.42/0.76 (assume @p73 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t147) (forall @t50 (= @t49 (exists @t146 (and (tptp.in (tptp.ordered_pair @t33 @t104) @t1) (tptp.in (tptp.ordered_pair @t104 @t45) @t2))))))))))))) % 0.42/0.76 (assume @p74 (forall @t11 (=> @t16 (forall @t79 (= @t136 (forall @t148 (=> (and @t83 @t48 @t53 @t98 @t47) (tptp.in (tptp.ordered_pair @t17 @t45) @t1)))))))) % 0.42/0.76 (assume @p75 (forall @t6 (=> @t151 (forall @t62 (=> (tptp.element @t17 @t150) (= (= @t17 @t149) (forall @t57 (=> (tptp.element @t33 @t96) (= @t56 (tptp.in (tptp.subset_complement @t1 @t33) @t2)))))))))) % 0.42/0.76 (assume @p76 (forall @t6 (= @t8 (and @t43 @t152)))) % 0.42/0.76 (assume @p77 (forall @t11 (=> @t59 (=> @t22 (= @t153 @t140))))) % 0.42/0.76 (assume @p78 (forall @t11 (=> @t16 (= @t121 (tptp.is_reflexive_in @t1 @t63))))) % 0.42/0.76 (assume @p79 true) % 0.42/0.76 (assume @p80 (forall @t11 (tptp.relation @t95))) % 0.42/0.76 (assume @p81 (forall @t11 (=> @t59 (and (tptp.relation @t153) (tptp.function @t153))))) % 0.42/0.76 (assume @p82 (forall @t11 (tptp.element @t119 @t96))) % 0.42/0.76 (assume @p83 (forall @t6 (=> @t16 (tptp.relation @t139)))) % 0.42/0.76 (assume @p84 (forall @t6 (=> @t133 (tptp.element @t132 @t96)))) % 0.42/0.76 (assume @p85 (forall @t11 (=> @t16 @t154))) % 0.42/0.76 (assume @p86 (forall @t21 (=> @t85 (tptp.element @t155 @t96)))) % 0.42/0.76 (assume @p87 (forall @t6 (=> @t157 @t156))) % 0.42/0.76 (assume @p88 (forall @t21 (=> @t85 (tptp.element @t159 @t158)))) % 0.42/0.76 (assume @p89 (forall @t6 (=> @t151 (tptp.element @t160 @t96)))) % 0.42/0.76 (assume @p90 (forall @t11 @t161)) % 0.42/0.76 (assume @p91 (forall @t6 (=> @t151 (tptp.element @t162 @t96)))) % 0.42/0.76 (assume @p92 (forall @t21 (=> @t165 (tptp.element @t163 @t96)))) % 0.42/0.76 (assume @p93 (forall @t6 (=> @t16 @t166))) % 0.42/0.76 (assume @p94 (forall @t6 (=> @t151 (tptp.element @t149 @t150)))) % 0.42/0.76 (assume @p95 (forall @t6 (=> @t41 @t167))) % 0.42/0.76 (assume @p96 (forall @t21 (=> @t168 @t20))) % 0.42/0.76 (assume @p97 (forall @t6 (exists @t62 @t85))) % 0.42/0.76 (assume @p98 (forall @t11 (exists @t79 @t100))) % 0.42/0.76 (assume @p99 (forall @t6 (exists @t62 @t168))) % 0.42/0.76 (assume @p100 (forall @t6 (=> @t170 (and (tptp.empty @t169) (tptp.relation @t169))))) % 0.42/0.76 (assume @p101 (forall @t11 (=> @t10 (and (tptp.empty @t140) @t154)))) % 0.42/0.76 (assume @p102 (and @t173 @t172 @t171)) % 0.42/0.76 (assume @p103 (forall @t6 (=> @t175 (and @t166 (tptp.relation_empty_yielding @t51))))) % 0.42/0.76 (assume @p104 (forall @t6 (=> (and @t16 @t9 @t41 @t176) (and @t156 (tptp.function @t147))))) % 0.42/0.76 (assume @p105 (forall @t11 @t177)) % 0.42/0.76 (assume @p106 (forall @t6 (=> @t157 (tptp.relation @t29)))) % 0.42/0.76 (assume @p107 (forall @t11 (not (tptp.empty @t96)))) % 0.42/0.76 (assume @p108 @t173) % 0.42/0.76 (assume @p109 (forall @t6 (not (tptp.empty @t134)))) % 0.42/0.76 (assume @p110 (forall @t11 (and @t161 (tptp.function @t39)))) % 0.42/0.76 (assume @p111 (and @t172 @t171 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t173 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.42/0.76 (assume @p112 (forall @t6 (=> @t157 (tptp.relation @t28)))) % 0.42/0.76 (assume @p113 (forall @t11 (not (tptp.empty @t81)))) % 0.42/0.76 (assume @p114 (forall @t6 (=> @t101 (not (tptp.empty @t28))))) % 0.42/0.76 (assume @p115 (forall @t11 (=> @t23 (and @t154 (tptp.function @t140))))) % 0.42/0.76 (assume @p116 (forall @t11 (=> @t15 (and @t177 (tptp.epsilon_transitive @t82) (tptp.epsilon_connected @t82) (tptp.ordinal @t82))))) % 0.42/0.76 (assume @p117 (forall @t6 (=> @t157 (tptp.relation @t128)))) % 0.42/0.76 (assume @p118 (forall @t6 (not (tptp.empty @t26)))) % 0.42/0.76 (assume @p119 (forall @t6 (=> @t101 (not (tptp.empty @t27))))) % 0.42/0.76 (assume @p120 (forall @t6 (=> @t59 (and @t166 (tptp.function @t51))))) % 0.42/0.76 (assume @p121 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t120) (tptp.epsilon_connected @t120) (tptp.ordinal @t120))))) % 0.42/0.76 (assume @p122 (and @t173 @t172)) % 0.42/0.76 (assume @p123 (forall @t6 (=> (and @t101 @t178) (not (tptp.empty @t19))))) % 0.42/0.76 (assume @p124 (forall @t6 (=> @t179 (and @t167 (tptp.function @t61))))) % 0.42/0.76 (assume @p125 (forall @t11 (=> @t181 (not @t180)))) % 0.42/0.76 (assume @p126 (forall @t11 (=> @t181 (not @t182)))) % 0.42/0.76 (assume @p127 (forall @t11 (=> @t10 (and @t180 (tptp.relation @t54))))) % 0.42/0.76 (assume @p128 (forall @t11 (=> @t10 (and @t182 (tptp.relation @t130))))) % 0.42/0.76 (assume @p129 (forall @t6 (=> @t170 (and (tptp.empty @t147) @t156)))) % 0.42/0.76 (assume @p130 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.42/0.76 (assume @p131 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.42/0.76 (assume @p132 (forall @t6 (=> @t133 (= (tptp.subset_complement @t1 @t132) @t2)))) % 0.42/0.76 (assume @p133 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t140) @t1)))) % 0.42/0.76 (assume @p134 (forall @t6 (=> @t151 (= (tptp.complements_of_subsets @t1 @t149) @t2)))) % 0.42/0.76 (assume @p135 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.42/0.76 (assume @p136 (forall @t11 (=> @t16 (= @t121 (forall @t79 (=> @t183 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 0.42/0.76 (assume @p137 (forall @t11 (not (= @t81 tptp.empty_set)))) % 0.42/0.76 (assume @p138 (forall @t6 (=> @t5 (= (tptp.set_union2 @t81 @t2) @t2)))) % 0.42/0.76 (assume @p139 (forall @t6 (not (and @t184 @t5)))) % 0.42/0.76 (assume @p140 (forall @t6 (=> @t185 @t184))) % 0.42/0.76 (assume @p141 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_dom @t61) @t186)))) % 0.42/0.76 (assume @p142 (forall @t11 (=> @t16 (= @t70 (forall @t76 (=> (and @t75 @t98) @t73)))))) % 0.42/0.76 (assume @p143 (forall @t6 (= (tptp.subset @t81 @t2) @t5))) % 0.42/0.76 (assume @p144 (forall @t6 (=> @t41 (not (and @t187 (tptp.equipotent @t1 @t94) (forall @t62 (=> @t18 (not (tptp.well_orders @t17 @t1))))))))) % 0.42/0.76 (assume @p145 (forall @t6 (= (= @t128 tptp.empty_set) @t43))) % 0.42/0.76 (assume @p146 (forall @t6 (=> @t133 (forall @t62 (=> @t83 @t35))))) % 0.42/0.76 (assume @p147 (forall @t11 (=> @t16 (= @t64 (forall @t52 (=> (and @t75 @t188) @t77)))))) % 0.42/0.76 (assume @p148 (forall @t21 (=> @t43 (or @t35 (tptp.subset @t1 (tptp.set_difference @t2 @t189)))))) % 0.42/0.76 (assume @p149 (forall @t11 (=> @t16 (= @t69 (forall @t52 (not (and @t183 (tptp.in @t17 @t63) @t108 @t190 (not @t188)))))))) % 0.42/0.76 (assume @p150 (forall @t6 (= (tptp.subset @t1 @t191) (or @t88 (= @t1 @t191))))) % 0.42/0.76 (assume @p151 (forall @t6 (=> @t5 (tptp.subset @t1 @t192)))) % 0.42/0.76 (assume @p152 (forall @t72 (= (tptp.in @t134 (tptp.cartesian_product2 @t17 @t33)) (and @t193 (tptp.in @t2 @t33))))) % 0.42/0.76 (assume @p153 (forall @t6 (=> @t110 @t194))) % 0.42/0.76 (assume @p154 (forall @t21 (=> @t144 (= @t196 (and (tptp.in @t2 @t124) @t3))))) % 0.42/0.76 (assume @p155 (exists @t11 @t59)) % 0.42/0.76 (assume @p156 (exists @t11 @t25)) % 0.42/0.76 (assume @p157 (exists @t11 (and @t10 @t16))) % 0.42/0.76 (assume @p158 (forall @t11 (=> @t101 (exists @t79 (and @t133 @t178))))) % 0.42/0.76 (assume @p159 (exists @t11 @t10)) % 0.42/0.76 (assume @p160 (exists @t11 @t24)) % 0.42/0.76 (assume @p161 (exists @t11 (and @t16 @t9 @t22 @t10 @t13 @t12 @t15))) % 0.42/0.76 (assume @p162 (exists @t11 @t181)) % 0.42/0.76 (assume @p163 (forall @t11 (exists @t79 (and @t133 @t99)))) % 0.42/0.76 (assume @p164 (exists @t11 @t101)) % 0.42/0.76 (assume @p165 (exists @t11 @t23)) % 0.42/0.76 (assume @p166 (exists @t11 (and @t101 @t13 @t12 @t15))) % 0.42/0.76 (assume @p167 (exists @t11 @t175)) % 0.42/0.76 (assume @p168 (exists @t11 (and @t16 @t174 @t9))) % 0.42/0.76 (assume @p169 (forall @t21 (=> @t85 (= @t155 @t124)))) % 0.42/0.76 (assume @p170 (forall @t21 (=> @t85 (= @t159 @t123)))) % 0.42/0.76 (assume @p171 (forall @t6 (=> @t151 (= @t160 @t192)))) % 0.42/0.76 (assume @p172 (forall @t6 (=> @t151 (= @t162 (tptp.set_meet @t2))))) % 0.42/0.76 (assume @p173 (forall @t21 (=> @t165 (= @t163 @t197)))) % 0.42/0.76 (assume @p174 (forall @t21 (= @t168 @t85))) % 0.42/0.76 (assume @p175 (forall @t6 (=> @t32 (= @t30 @t43)))) % 0.42/0.76 (assume @p176 (forall @t6 (= @t127 (tptp.are_equipotent @t1 @t2)))) % 0.42/0.76 (assume @p177 (forall @t6 (=> @t32 (tptp.ordinal_subset @t1 @t1)))) % 0.42/0.76 (assume @p178 (forall @t6 (tptp.subset @t1 @t1))) % 0.42/0.76 (assume @p179 (forall @t6 (tptp.equipotent @t1 @t1))) % 0.42/0.76 (assume @p180 (forall @t11 (=> @t200 (exists @t79 (and @t41 @t176 (forall @t38 (= @t37 (and @t35 @t35 (= @t33 @t189))))))))) % 0.42/0.76 (assume @p181 (forall @t11 (=> (exists @t79 (and @t31 @t3)) (exists @t79 (and @t31 @t3 (forall @t62 (=> @t201 (=> @t35 (tptp.ordinal_subset @t2 @t17))))))))) % 0.42/0.76 (assume @p182 (forall @t21 (=> @t205 (exists @t57 (and @t204 (forall @t106 (= (tptp.in @t105 @t33) (and @t60 @t203 (tptp.in (tptp.ordered_pair @t141 @t202) @t2))))))))) % 0.42/0.76 (assume @p183 (forall @t11 (=> @t200 (exists @t79 (forall @t62 (= @t83 (exists @t57 (and @t90 @t90 (= @t17 (tptp.singleton @t33)))))))))) % 0.42/0.76 (assume @p184 (forall @t6 (=> (forall @t148 (=> (and @t34 (exists @t216 (and (= @t215 @t33) @t203 (= @t214 (tptp.singleton @t104)))) @t213 (exists (@list @t210 @t211) (and (= (tptp.ordered_pair @t210 @t211) @t45) @t212 (= @t211 (tptp.singleton @t210))))) @t209)) (exists @t62 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t19) @t208 (exists (@list @t206 @t207) (and (= (tptp.ordered_pair @t206 @t207) @t33) (tptp.in @t206 @t1) (= @t207 (tptp.singleton @t206)))))))))))) % 0.42/0.76 (assume @p185 (forall @t21 (=> @t205 (=> (forall (@list @t33 @t45 @t104) (=> (and @t209 (exists (@list @t214 @t210) (and (= @t45 (tptp.ordered_pair @t214 @t210)) (tptp.in (tptp.ordered_pair @t220 (tptp.apply @t17 @t210)) @t2))) @t219 (exists (@list @t211 @t206) (and (= @t104 (tptp.ordered_pair @t211 @t206)) (tptp.in (tptp.ordered_pair (tptp.apply @t17 @t211) (tptp.apply @t17 @t206)) @t2)))) (= @t45 @t104))) (exists @t57 (forall @t55 (= @t71 (exists @t146 (and (tptp.in @t104 @t218) (= @t104 @t45) (exists (@list @t207 @t217) (and (= @t45 (tptp.ordered_pair @t207 @t217)) (tptp.in (tptp.ordered_pair (tptp.apply @t17 @t207) (tptp.apply @t17 @t217)) @t2)))))))))))) % 0.42/0.76 (assume @p186 (forall @t11 (=> (forall @t76 (=> (and @t77 @t201 @t97 @t221) @t34)) (exists @t79 (forall @t62 (= @t83 (exists @t57 (and @t90 (= @t33 @t17) @t201)))))))) % 0.42/0.76 (assume @p187 (forall @t6 (=> @t31 (=> (forall @t148 (=> (and @t34 (exists @t146 (and (tptp.ordinal @t104) @t219 @t203)) @t213 (exists (@list @t214) (and (tptp.ordinal @t214) (= @t45 @t214) (tptp.in @t214 @t1)))) @t209)) (exists @t62 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t222) @t208 (exists (@list @t210) (and (tptp.ordinal @t210) (= @t33 @t210) @t212))))))))))) % 0.42/0.76 (assume @p188 (forall @t6 (exists @t62 (forall @t57 (= @t56 (and (tptp.in @t33 @t19) (exists @t106 (and (= @t105 @t33) @t60 (= @t104 (tptp.singleton @t45)))))))))) % 0.42/0.76 (assume @p189 (forall @t21 (=> @t205 (exists @t57 (forall @t55 (= @t71 (and (tptp.in @t45 @t218) (exists @t216 (and (= @t45 @t215) (tptp.in (tptp.ordered_pair @t202 @t220) @t2)))))))))) % 0.42/0.76 (assume @p190 (forall @t11 (exists @t79 (forall @t62 (= @t83 (and @t35 @t201)))))) % 0.42/0.76 (assume @p191 (forall @t6 (=> @t31 (exists @t62 (forall @t57 (= @t56 (and (tptp.in @t33 @t222) (exists @t55 (and (tptp.ordinal @t45) @t209 @t60))))))))) % 0.42/0.76 (assume @p192 @t238) % 0.42/0.76 (assume @p193 @t240) % 0.42/0.76 (assume @p194 (forall @t6 (=> @t145 (tptp.disjoint @t2 @t1)))) % 0.42/0.76 (assume @p195 (forall @t6 (=> @t127 (tptp.equipotent @t2 @t1)))) % 0.42/0.76 (assume @p196 (forall @t11 (tptp.in @t1 @t82))) % 0.42/0.76 (assume @p197 (forall @t72 (not (and (= @t26 (tptp.unordered_pair @t17 @t33)) (not @t241) (not (= @t1 @t33)))))) % 0.42/0.76 (assume @p198 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t123)))))) % 0.42/0.76 (assume @p199 (forall @t6 (=> @t41 (tptp.subset @t242 @t1)))) % 0.42/0.76 (assume @p200 (forall @t6 (=> @t41 (tptp.subset @t61 @t2)))) % 0.42/0.76 (assume @p201 (forall @t6 (=> @t41 (tptp.subset @t242 @t243)))) % 0.42/0.76 (assume @p202 (forall @t21 (=> @t43 (and (tptp.subset @t244 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 0.42/0.76 (assume @p203 (forall @t6 (=> @t41 (= @t242 (tptp.set_intersection2 @t243 @t1))))) % 0.42/0.76 (assume @p204 (forall @t72 (=> (and @t43 @t93) (tptp.subset @t244 (tptp.cartesian_product2 @t2 @t33))))) % 0.42/0.76 (assume @p205 (forall @t21 (=> @t168 (and (tptp.subset @t124 @t1) (tptp.subset @t123 @t2))))) % 0.42/0.76 (assume @p206 (forall @t6 (=> @t43 (= @t28 @t2)))) % 0.42/0.76 (assume @p207 (forall @t11 (exists @t79 (and @t5 @t247 (forall @t62 (=> @t83 (tptp.in @t246 @t2))) @t245)))) % 0.42/0.76 (assume @p208 (forall @t21 (=> @t18 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t248))))) % 0.42/0.76 (assume @p209 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_image @t17 @t2)) (exists @t57 (and (tptp.in @t33 @t124) (tptp.in (tptp.ordered_pair @t33 @t1) @t17) @t48)))))) % 0.42/0.76 (assume @p210 (forall @t6 (=> @t41 (tptp.subset @t249 @t243)))) % 0.42/0.76 (assume @p211 (forall @t6 (=> @t179 (tptp.subset @t251 @t1)))) % 0.42/0.76 (assume @p212 (forall @t6 (=> @t41 (= @t249 (tptp.relation_image @t2 @t252))))) % 0.42/0.76 (assume @p213 (forall @t6 (=> @t41 (=> (tptp.subset @t1 @t186) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t249)))))) % 0.42/0.76 (assume @p214 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t54) @t130)))) % 0.42/0.76 (assume @p215 (forall @t6 (=> @t179 (=> @t253 (= @t251 @t1))))) % 0.42/0.76 (assume @p216 (forall @t72 (=> @t255 (=> (tptp.subset (tptp.relation_rng @t33) @t2) @t254)))) % 0.42/0.76 (assume @p217 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (= @t256 (tptp.relation_image @t2 @t130))))))) % 0.42/0.76 (assume @p218 (forall @t21 (=> @t18 (= (tptp.in @t1 @t257) (exists @t57 (and (tptp.in @t33 @t123) (tptp.in (tptp.ordered_pair @t1 @t33) @t17) @t48)))))) % 0.42/0.76 (assume @p219 (forall @t6 (=> @t41 (tptp.subset @t250 @t186)))) % 0.42/0.76 (assume @p220 (forall @t72 (=> @t255 (=> @t43 @t254)))) % 0.42/0.76 (assume @p221 (forall @t21 (=> @t18 (= (tptp.in @t1 @t258) (and @t193 (tptp.in @t1 @t138)))))) % 0.42/0.76 (assume @p222 (forall @t6 (=> @t41 (not (and @t91 @t253 (= @t250 tptp.empty_set)))))) % 0.42/0.76 (assume @p223 (forall @t21 (=> @t18 (=> @t43 (tptp.subset (tptp.relation_inverse_image @t17 @t1) @t257))))) % 0.42/0.76 (assume @p224 (forall @t6 (=> @t41 (= @t259 (tptp.relation_dom_restriction @t61 @t1))))) % 0.42/0.76 (assume @p225 (forall @t6 (tptp.subset @t29 @t1))) % 0.42/0.76 (assume @p226 (forall @t6 (=> @t41 (= @t259 (tptp.relation_rng_restriction @t1 @t260))))) % 0.42/0.76 (assume @p227 (forall @t21 (=> @t18 (=> (tptp.in @t1 (tptp.relation_field @t258)) (and @t262 @t5))))) % 0.42/0.76 (assume @p228 (forall @t21 (=> (and @t43 @t264) (tptp.subset @t1 @t263)))) % 0.42/0.76 (assume @p229 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.42/0.76 (assume @p230 (forall @t6 (=> @t5 @t265))) % 0.42/0.76 (assume @p231 (forall @t21 (=> (and @t43 (tptp.subset @t2 @t17)) @t264))) % 0.42/0.76 (assume @p232 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 0.42/0.76 (assume @p233 (forall @t21 (=> @t18 (=> @t267 (and @t266 (tptp.in @t2 @t123)))))) % 0.42/0.76 (assume @p234 (forall @t6 (=> @t41 (and (tptp.subset @t268 @t94) (tptp.subset @t268 @t1))))) % 0.42/0.76 (assume @p235 (forall @t6 (=> @t179 (forall @t62 (=> @t144 (= @t271 (and @t266 (tptp.in @t269 @t186)))))))) % 0.42/0.76 (assume @p236 (forall @t11 (=> @t13 (forall @t79 (=> @t31 (=> @t8 @t5)))))) % 0.42/0.76 (assume @p237 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t54 @t130))))) % 0.42/0.76 (assume @p238 (forall @t21 (=> @t18 (tptp.subset (tptp.fiber (tptp.relation_restriction @t17 @t1) @t2) (tptp.fiber @t17 @t2))))) % 0.42/0.76 (assume @p239 (forall @t6 (=> @t179 (forall @t62 (=> @t144 (=> @t271 (= (tptp.apply @t270 @t1) (tptp.apply @t2 @t269)))))))) % 0.42/0.76 (assume @p240 (forall @t21 (=> (tptp.relation_of2_as_subset @t17 @t2 @t1) (= (forall @t57 (not (and @t48 (forall @t55 (not @t49))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t17) @t2))))) % 0.42/0.76 (assume @p241 (forall @t6 (=> @t41 (=> @t272 (tptp.reflexive @t259))))) % 0.42/0.76 (assume @p242 (forall @t6 (=> @t179 (forall @t62 (=> @t144 (=> (tptp.in @t1 @t186) (= (tptp.apply (tptp.relation_composition @t2 @t17) @t1) (tptp.apply @t17 (tptp.apply @t2 @t1))))))))) % 0.42/0.76 (assume @p243 (forall @t6 (=> @t31 (=> @t5 @t15)))) % 0.42/0.76 (assume @p244 (forall @t21 (=> @t168 (= (forall @t57 (not (and @t48 (forall @t55 (not (tptp.in @t68 @t17)))))) (= @t159 @t2))))) % 0.42/0.76 (assume @p245 (forall @t6 (=> @t41 (=> @t273 (tptp.connected @t259))))) % 0.42/0.76 (assume @p246 (forall @t11 (=> @t15 (forall @t79 (=> @t31 (not (and @t185 @t152 @t4))))))) % 0.42/0.76 (assume @p247 (forall @t6 (=> @t41 (=> @t274 (tptp.transitive @t259))))) % 0.42/0.76 (assume @p248 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (=> @t43 (and (tptp.subset @t54 @t186) (tptp.subset @t130 @t243)))))))) % 0.42/0.76 (assume @p249 (forall @t6 (=> @t41 (=> @t275 (tptp.antisymmetric @t259))))) % 0.42/0.76 (assume @p250 (forall @t6 (=> @t41 (=> (tptp.well_orders @t2 @t1) (and @t277 @t276))))) % 0.42/0.76 (assume @p251 (forall @t21 (=> @t43 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t263)))) % 0.42/0.76 (assume @p252 (forall @t6 (=> @t43 (= @t29 @t1)))) % 0.42/0.76 (assume @p253 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.42/0.76 (assume @p254 (forall @t6 (=> @t265 (or @t99 @t5)))) % 0.42/0.76 (assume @p255 (forall @t6 (=> (forall @t62 (= @t35 @t83)) @t44))) % 0.42/0.76 (assume @p256 (forall @t11 (tptp.reflexive @t95))) % 0.42/0.76 (assume @p257 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 0.42/0.76 (assume @p258 (forall @t21 (=> @t18 (=> @t267 (and @t262 (tptp.in @t2 @t261)))))) % 0.42/0.76 (assume @p259 (forall @t11 (=> (forall @t79 (=> @t3 (and @t31 @t42))) @t15))) % 0.42/0.76 (assume @p260 (forall @t6 (=> @t41 (=> @t278 (tptp.well_founded_relation @t259))))) % 0.42/0.76 (assume @p261 (forall @t6 (=> @t31 (not (and @t43 @t91 (forall @t62 (=> @t201 (not (and @t35 (forall @t57 (=> @t221 (=> @t90 (tptp.ordinal_subset @t17 @t33))))))))))))) % 0.42/0.76 (assume @p262 (forall @t6 (=> @t41 (=> @t187 @t276)))) % 0.42/0.76 (assume @p263 (forall @t11 (=> @t15 (forall @t79 (=> @t31 (= @t5 (tptp.ordinal_subset @t82 @t2))))))) % 0.42/0.76 (assume @p264 (forall @t21 (=> @t43 (tptp.subset (tptp.set_difference @t1 @t17) @t197)))) % 0.42/0.76 (assume @p265 (forall @t72 (=> (= @t134 @t36) (and @t241 @t97)))) % 0.42/0.76 (assume @p266 (forall @t6 (=> @t179 (= @t40 (and @t226 (forall @t62 (=> @t35 (= @t223 @t17)))))))) % 0.42/0.76 (assume @p267 (forall @t6 (=> @t3 (= (tptp.apply @t39 @t2) @t2)))) % 0.42/0.76 (assume @p268 (forall @t6 (tptp.subset @t128 @t1))) % 0.42/0.76 (assume @p269 (forall @t11 (=> @t16 (and (= @t130 (tptp.relation_dom @t140)) (= @t54 (tptp.relation_rng @t140)))))) % 0.42/0.76 (assume @p270 (forall @t21 (= (tptp.subset @t26 @t17) (and @t193 @t109)))) % 0.42/0.76 (assume @p271 (forall @t6 (=> @t41 (=> (and @t187 (tptp.subset @t1 @t94)) @t277)))) % 0.42/0.76 (assume @p272 (forall @t6 (= @t279 @t28))) % 0.42/0.76 (assume @p273 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.42/0.76 (assume @p274 (forall @t21 (not (and @t5 @t109 @t35)))) % 0.42/0.76 (assume @p275 (forall @t6 (= @t194 @t43))) % 0.42/0.76 (assume @p276 (forall @t11 (tptp.transitive @t95))) % 0.42/0.76 (assume @p277 (forall @t6 (and (not (and @t281 (forall @t62 (not @t280)))) (not (and (exists @t62 @t280) @t145))))) % 0.42/0.76 (assume @p278 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t88))) % 0.42/0.76 (assume @p279 (forall @t6 (= (tptp.set_difference @t28 @t2) @t128))) % 0.42/0.76 (assume @p280 (forall @t11 (=> @t15 (= @t137 (forall @t79 (=> @t31 (=> @t3 (tptp.in @t222 @t1)))))))) % 0.42/0.76 (assume @p281 (forall @t11 (=> @t15 (and (not (and (not @t137) (forall @t79 (=> @t31 (not @t282))))) (not (and (exists @t79 (and @t31 @t282)) @t137)))))) % 0.42/0.76 (assume @p282 (forall @t6 (=> @t133 (forall @t62 (=> @t164 (= @t284 (tptp.subset @t2 @t283))))))) % 0.42/0.76 (assume @p283 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (tptp.subset @t285 @t54)))))) % 0.42/0.76 (assume @p284 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (tptp.subset @t256 @t243)))))) % 0.42/0.76 (assume @p285 (forall @t6 (=> @t43 (= @t2 @t279)))) % 0.42/0.76 (assume @p286 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (=> (tptp.subset @t130 @t186) (= @t285 @t54))))))) % 0.42/0.76 (assume @p287 (forall @t6 (=> @t151 (not (and @t102 (= @t149 tptp.empty_set)))))) % 0.42/0.76 (assume @p288 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (=> (tptp.subset @t54 @t243) (= (tptp.relation_rng @t169) @t130))))))) % 0.42/0.76 (assume @p289 (forall @t6 (=> @t151 (=> @t102 (= (tptp.subset_difference @t1 @t119 @t160) (tptp.meet_of_subsets @t1 @t149)))))) % 0.42/0.76 (assume @p290 (forall @t6 (=> @t151 (=> @t102 (= (tptp.union_of_subsets @t1 @t149) (tptp.subset_difference @t1 @t119 @t162)))))) % 0.42/0.76 (assume @p291 (forall @t6 (= (tptp.set_difference @t1 @t128) @t29))) % 0.42/0.76 (assume @p292 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (forall @t62 (=> @t144 (=> @t143 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t17)))))))))) % 0.42/0.76 (assume @p293 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.42/0.76 (assume @p294 (forall @t21 (=> (and @t5 @t286) (tptp.element @t1 @t17)))) % 0.42/0.76 (assume @p295 (forall @t11 (=> @t15 (tptp.connected @t95)))) % 0.42/0.76 (assume @p296 (forall @t6 (and (not (and @t281 (forall @t62 (not @t287)))) (not (and (exists @t62 @t287) @t145))))) % 0.42/0.76 (assume @p297 (forall @t11 (=> @t91 (forall @t79 (=> @t133 (forall @t62 (=> (tptp.element @t17 @t1) (=> @t107 (tptp.in @t17 @t132))))))))) % 0.42/0.76 (assume @p298 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (forall @t62 (=> @t144 (=> @t143 (and (=> @t121 @t272) (=> @t70 @t274) (=> @t69 @t273) (=> @t64 @t275) (=> @t103 @t278)))))))))) % 0.42/0.76 (assume @p299 (forall @t11 (=> @t59 (=> @t22 (forall @t79 (=> @t179 (= (= @t2 @t153) (and (= @t186 @t130) (forall @t38 (and (=> @t288 @t129) (=> @t129 @t288))))))))))) % 0.42/0.76 (assume @p300 (forall @t21 (=> @t164 (not (and (tptp.in @t2 @t283) @t109))))) % 0.42/0.76 (assume @p301 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (forall @t62 (=> @t144 (=> (and @t122 @t143) @t187)))))))) % 0.42/0.76 (assume @p302 (forall @t11 (=> @t59 (=> @t22 (and (= @t130 (tptp.relation_dom @t153)) (= @t54 (tptp.relation_rng @t153))))))) % 0.42/0.76 (assume @p303 (forall @t11 (=> @t16 (=> (forall @t52 @t190) @t88)))) % 0.42/0.76 (assume @p304 (forall @t6 (=> @t179 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t243)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t289 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t289 @t2) @t1))))))) % 0.42/0.76 (assume @p305 (forall @t21 (not (and @t5 @t286 (tptp.empty @t17))))) % 0.42/0.76 (assume @p306 (forall @t11 (=> @t16 (= @t103 (tptp.is_well_founded_in @t1 @t63))))) % 0.42/0.76 (assume @p307 (forall @t11 (tptp.antisymmetric @t95))) % 0.42/0.76 (assume @p308 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.42/0.76 (assume @p309 (forall @t6 (not (and @t43 @t7)))) % 0.42/0.76 (assume @p310 (forall @t11 (=> @t59 (=> @t22 (tptp.one_to_one @t153))))) % 0.42/0.76 (assume @p311 (forall @t21 (=> (and @t43 @t284) (tptp.disjoint @t1 @t17)))) % 0.42/0.76 (assume @p312 (forall @t11 (=> @t16 (=> (or @t291 @t290) @t88)))) % 0.42/0.76 (assume @p313 (forall @t11 (=> @t16 (= @t291 @t290)))) % 0.42/0.76 (assume @p314 (forall @t6 (= (= (tptp.set_difference @t1 @t191) @t1) @t4))) % 0.42/0.76 (assume @p315 (forall @t6 (=> @t179 (forall @t62 (=> @t144 (= (= @t2 @t195) (and (= @t186 (tptp.set_intersection2 @t124 @t1)) (forall @t57 (=> (tptp.in @t33 @t186) (= (tptp.apply @t2 @t33) @t142)))))))))) % 0.42/0.76 (assume @p316 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t81))) % 0.42/0.76 (assume @p317 (forall @t11 (=> @t10 @t88))) % 0.42/0.76 (assume @p318 (forall @t11 (=> @t15 (tptp.well_founded_relation @t95)))) % 0.42/0.76 (assume @p319 (forall @t6 (=> (tptp.subset @t81 @t191) @t44))) % 0.42/0.76 (assume @p320 (forall @t21 (=> @t144 (=> @t196 @t292)))) % 0.42/0.76 (assume @p321 (forall @t11 (and (= (tptp.relation_dom @t39) @t1) (= (tptp.relation_rng @t39) @t1)))) % 0.42/0.76 (assume @p322 (forall @t21 (=> @t144 (=> @t3 @t292)))) % 0.42/0.76 (assume @p323 (forall @t72 (=> @t204 (= (tptp.in @t134 (tptp.relation_composition (tptp.identity_relation @t17) @t33)) (and @t193 (tptp.in @t134 @t33)))))) % 0.42/0.76 (assume @p324 (forall @t6 (not (and @t5 @t99)))) % 0.42/0.76 (assume @p325 (forall @t6 (and (= (tptp.pair_first @t134) @t1) (= (tptp.pair_second @t134) @t2)))) % 0.42/0.76 (assume @p326 (forall @t6 (not (and @t5 (forall @t62 (not (and @t83 (forall @t57 (not (and @t48 @t56)))))))))) % 0.42/0.76 (assume @p327 (forall @t11 (=> @t15 (tptp.well_ordering @t95)))) % 0.42/0.76 (assume @p328 (forall @t6 (tptp.subset @t1 @t28))) % 0.42/0.76 (assume @p329 (forall @t6 (= @t145 (= @t128 @t1)))) % 0.42/0.76 (assume @p330 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_dom @t248)) (and @t5 @t266))))) % 0.42/0.76 (assume @p331 (forall @t6 (=> @t41 (tptp.subset @t260 @t2)))) % 0.42/0.76 (assume @p332 (forall @t6 (not (and @t10 @t152 @t99)))) % 0.42/0.76 (assume @p333 (forall @t21 (=> @t144 (= @t267 (and @t266 (= @t2 @t269)))))) % 0.42/0.76 (assume @p334 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t63) @t122)))) % 0.42/0.76 (assume @p335 (forall @t21 (=> (and @t43 @t112) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 0.42/0.76 (assume @p336 (forall @t21 (=> @t293 @t44))) % 0.42/0.76 (assume @p337 (forall @t6 (=> @t41 (= (tptp.relation_dom @t260) @t252)))) % 0.42/0.76 (assume @p338 (forall @t6 (=> @t41 (= @t260 (tptp.relation_composition @t39 @t2))))) % 0.42/0.76 (assume @p339 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_rng @t260) @t243)))) % 0.42/0.76 (assume @p340 (forall @t11 (= (tptp.union @t96) @t1))) % 0.42/0.76 (assume @p341 (forall @t11 (exists @t79 (and @t5 @t247 (forall @t62 (not (and @t83 (forall @t57 (not (and @t48 (forall @t55 (=> (tptp.subset @t45 @t17) @t71)))))))) @t245)))) % 0.42/0.76 (assume @p342 (forall @t21 (=> @t293 @t77))) % 0.42/0.76 (step @p343 :rule bool-impl-true2 :args (@t302)) % 0.42/0.76 (step @p344 :rule aci_norm :args ((= (or @t300 (or @t299 (or @t298 @t296))) @t301))) % 0.42/0.76 (step @p345 :rule bool-and-de-morgan :args (@t297 @t295 true)) % 0.42/0.76 (step @p346 :rule refl :args (@t299)) % 0.42/0.76 (step @p347 :rule nary_cong :premises (@p346 @p345) :args ((or @t299 (not (and @t297 @t295))))) % 0.42/0.76 (step @p348 :rule bool-and-de-morgan :args (@t176 @t297 (and @t295))) % 0.42/0.76 (step @p349 :rule trans :premises (@p348 @p347)) % 0.42/0.76 (step @p350 :rule refl :args (@t300)) % 0.42/0.76 (step @p351 :rule nary_cong :premises (@p350 @p349) :args ((or @t300 (not (and @t176 @t297 @t295))))) % 0.42/0.76 (step @p352 :rule bool-and-de-morgan :args (@t41 @t176 (and @t297 @t295))) % 0.42/0.76 (step @p353 :rule trans :premises (@p352 @p351)) % 0.42/0.76 (step @p354 :rule trans :premises (@p353 @p344)) % 0.42/0.76 (step @p355 :rule cong :premises (@p354) :args (@t304)) % 0.42/0.76 (step @p356 :rule cong :premises (@p355) :args (@t305)) % 0.42/0.76 (step @p357 :rule exists-elim :args ((= (exists @t79 @t303) @t305))) % 0.42/0.76 (step @p358 :rule trans :premises (@p357 @p356)) % 0.42/0.76 (step @p359 :rule bool-impl-elim :args (@t35 @t294)) % 0.42/0.76 (step @p360 :rule cong :premises (@p359) :args ((forall @t62 (=> @t35 @t294)))) % 0.42/0.76 (step @p361 :rule eq-symm :args (@t223 @t189)) % 0.42/0.76 (step @p362 :rule refl :args (@t35)) % 0.42/0.76 (step @p363 :rule cong :premises (@p362 @p361) :args (@t224)) % 0.42/0.76 (step @p364 :rule cong :premises (@p363) :args (@t225)) % 0.42/0.76 (step @p365 :rule trans :premises (@p364 @p360)) % 0.42/0.76 (step @p366 :rule eq-symm :args (@t186 @t1)) % 0.42/0.76 (step @p367 :rule refl :args (@t176)) % 0.42/0.76 (step @p368 :rule refl :args (@t41)) % 0.42/0.76 (step @p369 :rule nary_cong :premises (@p368 @p367 @p366 @p365) :args (@t227)) % 0.42/0.76 (step @p370 :rule cong :premises (@p369) :args (@t228)) % 0.42/0.76 (step @p371 :rule trans :premises (@p370 @p358)) % 0.42/0.76 (step @p372 :rule evaluate :args ((and true true))) % 0.42/0.76 (step @p373 :rule quant-unused-vars :args ((= (forall @t79 true) true))) % 0.42/0.76 (step @p374 :rule evaluate :args ((not false))) % 0.42/0.76 (step @p375 :rule absorb :args ((= (and @t3 false) false))) % 0.42/0.76 (step @p376 :rule evaluate :args ((not true))) % 0.42/0.76 (step @p377 :rule eq-refl :args (@t191)) % 0.42/0.76 (step @p378 :rule cong :premises (@p377) :args (@t306)) % 0.42/0.76 (step @p379 :rule trans :premises (@p378 @p376)) % 0.42/0.76 (step @p380 :rule quant-var-elim-eq :args ((= (forall @t62 @t307) @t306))) % 0.42/0.76 (step @p381 :rule aci_norm :args ((= @t229 @t307))) % 0.42/0.76 (step @p382 :rule cong :premises (@p381) :args (@t230)) % 0.42/0.76 (step @p383 :rule trans :premises (@p382 @p380)) % 0.42/0.76 (step @p384 :rule trans :premises (@p383 @p379)) % 0.42/0.76 (step @p385 :rule refl :args (@t3)) % 0.42/0.76 (step @p386 :rule nary_cong :premises (@p385 @p384) :args (@t231)) % 0.42/0.76 (step @p387 :rule trans :premises (@p386 @p375)) % 0.42/0.76 (step @p388 :rule cong :premises (@p387) :args (@t232)) % 0.42/0.76 (step @p389 :rule trans :premises (@p388 @p374)) % 0.42/0.76 (step @p390 :rule cong :premises (@p389) :args (@t233)) % 0.42/0.76 (step @p391 :rule trans :premises (@p390 @p373)) % 0.42/0.76 (step @p392 :rule quant-unused-vars :args ((= (forall @t308 true) true))) % 0.42/0.76 (step @p393 :rule bool-or-taut2 :args ((or @t4) @t198 false false)) % 0.42/0.76 (step @p394 :rule cong :premises (@p393) :args ((forall @t308 @t310))) % 0.42/0.76 (step @p395 :rule trans :premises (@p394 @p392)) % 0.42/0.76 (step @p396 :rule aci_norm :args ((= (or @t4 false @t309 @t198) @t310))) % 0.42/0.76 (step @p397 :rule eq-symm :args (@t191 @t33)) % 0.42/0.76 (step @p398 :rule refl :args (@t309)) % 0.42/0.76 (step @p399 :rule refl :args (@t4)) % 0.42/0.76 (step @p400 :rule nary_cong :premises (@p399 @p379 @p398 @p397) :args (@t311)) % 0.42/0.76 (step @p401 :rule trans :premises (@p400 @p396)) % 0.42/0.76 (step @p402 :rule cong :premises (@p401) :args ((forall @t308 @t311))) % 0.42/0.76 (step @p403 :rule trans :premises (@p402 @p395)) % 0.42/0.76 (step @p404 :rule quant-var-elim-eq :args ((= (forall @t62 @t312) @t311))) % 0.42/0.76 (step @p405 :rule aci_norm :args ((= @t313 @t312))) % 0.42/0.76 (step @p406 :rule cong :premises (@p405) :args (@t314)) % 0.42/0.76 (step @p407 :rule trans :premises (@p406 @p404)) % 0.42/0.76 (step @p408 :rule cong :premises (@p407) :args (@t315)) % 0.42/0.76 (step @p409 :rule quant-merge-prenex :args ((= @t315 @t316))) % 0.42/0.76 (step @p410 :rule symm :premises (@p409)) % 0.42/0.76 (step @p411 :rule quant_var_reordering :args ((= (forall @t76 @t313) @t316))) % 0.42/0.76 (step @p412 :rule trans :premises (@p411 @p410 @p408)) % 0.42/0.76 (step @p413 :rule trans :premises (@p412 @p403)) % 0.42/0.76 (step @p414 :rule aci_norm :args ((= (or @t317 @t34) @t313))) % 0.42/0.76 (step @p415 :rule refl :args (@t34)) % 0.42/0.76 (step @p416 :rule aci_norm :args ((= (or @t4 (or @t229 @t309)) @t317))) % 0.42/0.76 (step @p417 :rule bool-and-de-morgan :args (@t199 @t198 true)) % 0.42/0.76 (step @p418 :rule refl :args (@t4)) % 0.42/0.76 (step @p419 :rule nary_cong :premises (@p418 @p417) :args ((or @t4 (not (and @t199 @t198))))) % 0.42/0.76 (step @p420 :rule bool-and-de-morgan :args (@t3 @t199 (and @t198))) % 0.42/0.76 (step @p421 :rule trans :premises (@p420 @p419)) % 0.42/0.76 (step @p422 :rule trans :premises (@p421 @p416)) % 0.42/0.76 (step @p423 :rule nary_cong :premises (@p422 @p415) :args ((or (not @t234) @t34))) % 0.42/0.76 (step @p424 :rule trans :premises (@p423 @p414)) % 0.42/0.76 (step @p425 :rule bool-impl-elim :args (@t234 @t34)) % 0.42/0.76 (step @p426 :rule trans :premises (@p425 @p424)) % 0.42/0.76 (step @p427 :rule cong :premises (@p426) :args (@t235)) % 0.42/0.76 (step @p428 :rule trans :premises (@p427 @p413)) % 0.42/0.76 (step @p429 :rule nary_cong :premises (@p428 @p391) :args (@t236)) % 0.42/0.76 (step @p430 :rule trans :premises (@p429 @p372)) % 0.42/0.76 (step @p431 :rule cong :premises (@p430 @p371) :args (@t237)) % 0.42/0.76 (step @p432 :rule trans :premises (@p431 @p343)) % 0.42/0.76 (step @p433 :rule cong :premises (@p432) :args (@t238)) % 0.42/0.76 (step @p434 :rule eq_resolve :premises (@p192 @p433)) % 0.42/0.76 (step @p435 :rule cong :premises (@p371) :args (@t239)) % 0.42/0.76 (step @p436 :rule cong :premises (@p435) :args (@t240)) % 0.42/0.76 (step @p437 :rule eq_resolve :premises (@p193 @p436)) % 0.42/0.76 (step @p438 false :rule chain_m_resolution :premises (@p437 @p434) :args (false (@list false) (@list (forall @t11 @t302)))) % 0.42/0.76 ) % 0.42/0.76 % SZS output end Proof % 0.42/0.76 % cvc5 exiting %------------------------------------------------------------------------------