%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU295+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:51:17 AM UTC 2026 % Result : Theorem 0.44s 0.80s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU295+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:55:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.58 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.80 % SZS status Theorem % 0.44/0.80 % SZS output start Proof % 0.44/0.80 ( % 0.44/0.80 (declare-sort $$unsorted 0) % 0.44/0.80 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.function (-> $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.empty_set $$unsorted) % 0.44/0.80 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.44/0.80 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.44/0.80 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.80 (define @t1 () (@var "A" $$unsorted)) % 0.44/0.80 (define @t2 () (@var "B" $$unsorted)) % 0.44/0.80 (define @t3 () (tptp.in @t2 @t1)) % 0.44/0.80 (define @t4 () (not @t3)) % 0.44/0.80 (define @t5 () (tptp.in @t1 @t2)) % 0.44/0.80 (define @t6 () (@list @t1 @t2)) % 0.44/0.80 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.44/0.80 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.44/0.80 (define @t9 () (tptp.ordinal @t2)) % 0.44/0.80 (define @t10 () (tptp.epsilon_connected @t2)) % 0.44/0.80 (define @t11 () (tptp.epsilon_transitive @t2)) % 0.44/0.80 (define @t12 () (tptp.element @t2 @t1)) % 0.44/0.80 (define @t13 () (@list @t2)) % 0.44/0.80 (define @t14 () (tptp.ordinal @t1)) % 0.44/0.80 (define @t15 () (@list @t1)) % 0.44/0.80 (define @t16 () (tptp.finite @t1)) % 0.44/0.80 (define @t17 () (tptp.empty @t1)) % 0.44/0.80 (define @t18 () (tptp.function @t1)) % 0.44/0.80 (define @t19 () (tptp.epsilon_connected @t1)) % 0.44/0.80 (define @t20 () (tptp.epsilon_transitive @t1)) % 0.44/0.80 (define @t21 () (and @t20 @t19)) % 0.44/0.80 (define @t22 () (tptp.relation @t1)) % 0.44/0.80 (define @t23 () (@var "C" $$unsorted)) % 0.44/0.80 (define @t24 () (tptp.relation @t23)) % 0.44/0.80 (define @t25 () (tptp.cartesian_product2 @t1 @t2)) % 0.44/0.80 (define @t26 () (tptp.element @t23 (tptp.powerset @t25))) % 0.44/0.80 (define @t27 () (@list @t1 @t2 @t23)) % 0.44/0.80 (define @t28 () (tptp.natural @t1)) % 0.44/0.80 (define @t29 () (tptp.finite @t2)) % 0.44/0.80 (define @t30 () (tptp.powerset @t1)) % 0.44/0.80 (define @t31 () (tptp.element @t2 @t30)) % 0.44/0.80 (define @t32 () (tptp.one_to_one @t1)) % 0.44/0.80 (define @t33 () (and @t22 @t18 @t32)) % 0.44/0.80 (define @t34 () (and @t22 @t17 @t18)) % 0.44/0.80 (define @t35 () (and @t20 @t19 @t14)) % 0.44/0.80 (define @t36 () (tptp.unordered_pair @t1 @t2)) % 0.44/0.80 (define @t37 () (tptp.set_union2 @t2 @t1)) % 0.44/0.80 (define @t38 () (tptp.set_union2 @t1 @t2)) % 0.44/0.80 (define @t39 () (tptp.set_intersection2 @t1 @t2)) % 0.44/0.80 (define @t40 () (tptp.ordinal_subset @t1 @t2)) % 0.44/0.80 (define @t41 () (and @t14 @t9)) % 0.44/0.80 (define @t42 () (@var "D" $$unsorted)) % 0.44/0.80 (define @t43 () (= @t23 @t42)) % 0.44/0.80 (define @t44 () (tptp.in @t23 @t1)) % 0.44/0.80 (define @t45 () (tptp.ordered_pair @t23 @t42)) % 0.44/0.80 (define @t46 () (tptp.in @t45 @t2)) % 0.44/0.80 (define @t47 () (@list @t23 @t42)) % 0.44/0.80 (define @t48 () (tptp.identity_relation @t1)) % 0.44/0.80 (define @t49 () (= @t2 @t48)) % 0.44/0.80 (define @t50 () (tptp.relation @t2)) % 0.44/0.80 (define @t51 () (tptp.subset @t2 @t1)) % 0.44/0.80 (define @t52 () (tptp.subset @t1 @t2)) % 0.44/0.80 (define @t53 () (= @t1 @t2)) % 0.44/0.80 (define @t54 () (@var "E" $$unsorted)) % 0.44/0.80 (define @t55 () (tptp.ordered_pair @t42 @t54)) % 0.44/0.80 (define @t56 () (tptp.in @t55 @t1)) % 0.44/0.80 (define @t57 () (tptp.in @t42 @t2)) % 0.44/0.80 (define @t58 () (tptp.in @t55 @t23)) % 0.44/0.80 (define @t59 () (@list @t42 @t54)) % 0.44/0.80 (define @t60 () (tptp.relation_dom_restriction @t1 @t2)) % 0.44/0.80 (define @t61 () (@list @t2 @t23)) % 0.44/0.80 (define @t62 () (tptp.in @t54 @t2)) % 0.44/0.80 (define @t63 () (tptp.relation_dom @t1)) % 0.44/0.80 (define @t64 () (@list @t54)) % 0.44/0.80 (define @t65 () (tptp.in @t42 @t23)) % 0.44/0.80 (define @t66 () (@list @t42)) % 0.44/0.80 (define @t67 () (= @t23 (tptp.relation_image @t1 @t2))) % 0.44/0.80 (define @t68 () (and @t22 @t18)) % 0.44/0.80 (define @t69 () (tptp.in @t54 @t1)) % 0.44/0.80 (define @t70 () (tptp.relation_rng_restriction @t1 @t2)) % 0.44/0.80 (define @t71 () (@list @t23)) % 0.44/0.80 (define @t72 () (tptp.relation_field @t1)) % 0.44/0.80 (define @t73 () (tptp.antisymmetric @t1)) % 0.44/0.80 (define @t74 () (tptp.apply @t1 @t42)) % 0.44/0.80 (define @t75 () (tptp.in @t42 @t63)) % 0.44/0.80 (define @t76 () (= @t23 (tptp.relation_inverse_image @t1 @t2))) % 0.44/0.80 (define @t77 () (tptp.ordered_pair @t54 @t42)) % 0.44/0.80 (define @t78 () (tptp.connected @t1)) % 0.44/0.80 (define @t79 () (tptp.transitive @t1)) % 0.44/0.80 (define @t80 () (tptp.in @t54 @t42)) % 0.44/0.80 (define @t81 () (@list @t1 @t2 @t23 @t42)) % 0.44/0.80 (define @t82 () (tptp.in (tptp.ordered_pair @t2 @t42) @t1)) % 0.44/0.80 (define @t83 () (tptp.ordered_pair @t2 @t23)) % 0.44/0.80 (define @t84 () (tptp.in @t83 @t1)) % 0.44/0.80 (define @t85 () (@list @t2 @t23 @t42)) % 0.44/0.80 (define @t86 () (= @t23 tptp.empty_set)) % 0.44/0.80 (define @t87 () (tptp.quasi_total @t23 @t1 @t2)) % 0.44/0.80 (define @t88 () (= @t1 tptp.empty_set)) % 0.44/0.80 (define @t89 () (= @t2 tptp.empty_set)) % 0.44/0.80 (define @t90 () (tptp.relation_dom_as_subset @t1 @t2 @t23)) % 0.44/0.80 (define @t91 () (tptp.relation_of2_as_subset @t23 @t1 @t2)) % 0.44/0.80 (define @t92 () (= @t2 @t23)) % 0.44/0.80 (define @t93 () (= @t1 @t45)) % 0.44/0.80 (define @t94 () (exists @t61 (= @t1 @t83))) % 0.44/0.80 (define @t95 () (tptp.singleton @t1)) % 0.44/0.80 (define @t96 () (tptp.succ @t1)) % 0.44/0.80 (define @t97 () (tptp.in @t23 @t2)) % 0.44/0.80 (define @t98 () (tptp.is_reflexive_in @t1 @t2)) % 0.44/0.80 (define @t99 () (tptp.relation_of2 @t23 @t1 @t2)) % 0.44/0.80 (define @t100 () (= @t2 (tptp.set_meet @t1))) % 0.44/0.80 (define @t101 () (tptp.in @t23 @t42)) % 0.44/0.80 (define @t102 () (tptp.in @t42 @t1)) % 0.44/0.80 (define @t103 () (not @t88)) % 0.44/0.80 (define @t104 () (= @t42 @t2)) % 0.44/0.80 (define @t105 () (tptp.subset @t23 @t42)) % 0.44/0.80 (define @t106 () (tptp.relation_field @t2)) % 0.44/0.80 (define @t107 () (tptp.inclusion_relation @t1)) % 0.44/0.80 (define @t108 () (= @t2 @t42)) % 0.44/0.80 (define @t109 () (tptp.in @t45 @t1)) % 0.44/0.80 (define @t110 () (tptp.empty @t2)) % 0.44/0.80 (define @t111 () (not @t17)) % 0.44/0.80 (define @t112 () (not @t89)) % 0.44/0.80 (define @t113 () (tptp.well_founded_relation @t1)) % 0.44/0.80 (define @t114 () (@var "F" $$unsorted)) % 0.44/0.80 (define @t115 () (tptp.ordered_pair @t54 @t114)) % 0.44/0.80 (define @t116 () (@list @t54 @t114)) % 0.44/0.80 (define @t117 () (not @t97)) % 0.44/0.80 (define @t118 () (not @t92)) % 0.44/0.80 (define @t119 () (tptp.in @t2 @t23)) % 0.44/0.80 (define @t120 () (forall @t71 (=> @t44 @t97))) % 0.44/0.80 (define @t121 () (tptp.subset @t23 @t2)) % 0.44/0.80 (define @t122 () (tptp.is_well_founded_in @t1 @t2)) % 0.44/0.80 (define @t123 () (tptp.apply @t1 @t2)) % 0.44/0.80 (define @t124 () (= @t23 @t123)) % 0.44/0.80 (define @t125 () (tptp.in @t2 @t63)) % 0.44/0.80 (define @t126 () (tptp.in (tptp.ordered_pair @t42 @t23) @t1)) % 0.44/0.80 (define @t127 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.44/0.80 (define @t128 () (tptp.cast_to_subset @t1)) % 0.44/0.80 (define @t129 () (tptp.union @t1)) % 0.44/0.80 (define @t130 () (tptp.reflexive @t1)) % 0.44/0.80 (define @t131 () (tptp.well_ordering @t1)) % 0.44/0.80 (define @t132 () (tptp.relation_rng @t23)) % 0.44/0.80 (define @t133 () (tptp.relation_dom @t23)) % 0.44/0.80 (define @t134 () (= @t133 @t1)) % 0.44/0.80 (define @t135 () (tptp.one_to_one @t23)) % 0.44/0.80 (define @t136 () (tptp.function @t23)) % 0.44/0.80 (define @t137 () (tptp.equipotent @t1 @t2)) % 0.44/0.80 (define @t138 () (tptp.set_difference @t1 @t2)) % 0.44/0.80 (define @t139 () (and @t75 (= @t23 @t74))) % 0.44/0.80 (define @t140 () (tptp.relation_rng @t1)) % 0.44/0.80 (define @t141 () (= @t2 @t140)) % 0.44/0.80 (define @t142 () (tptp.subset_complement @t1 @t2)) % 0.44/0.80 (define @t143 () (tptp.ordered_pair @t1 @t2)) % 0.44/0.80 (define @t144 () (tptp.is_connected_in @t1 @t2)) % 0.44/0.80 (define @t145 () (tptp.is_transitive_in @t1 @t2)) % 0.44/0.80 (define @t146 () (tptp.being_limit_ordinal @t1)) % 0.44/0.80 (define @t147 () (tptp.cartesian_product2 @t2 @t2)) % 0.44/0.80 (define @t148 () (tptp.relation_restriction @t1 @t2)) % 0.44/0.80 (define @t149 () (tptp.relation_inverse @t1)) % 0.44/0.80 (define @t150 () (tptp.apply @t23 @t54)) % 0.44/0.80 (define @t151 () (tptp.apply @t23 @t42)) % 0.44/0.80 (define @t152 () (tptp.relation_isomorphism @t1 @t2 @t23)) % 0.44/0.80 (define @t153 () (and @t24 @t136)) % 0.44/0.80 (define @t154 () (tptp.disjoint @t1 @t2)) % 0.44/0.80 (define @t155 () (@list @t114)) % 0.44/0.80 (define @t156 () (tptp.relation_composition @t1 @t2)) % 0.44/0.80 (define @t157 () (@list @t23 @t42 @t54)) % 0.44/0.80 (define @t158 () (tptp.complements_of_subsets @t1 @t2)) % 0.44/0.80 (define @t159 () (tptp.powerset @t30)) % 0.44/0.80 (define @t160 () (tptp.element @t2 @t159)) % 0.44/0.80 (define @t161 () (not @t53)) % 0.44/0.80 (define @t162 () (tptp.function_inverse @t1)) % 0.44/0.80 (define @t163 () (tptp.relation @t149)) % 0.44/0.80 (define @t164 () (tptp.relation @t156)) % 0.44/0.80 (define @t165 () (and @t22 @t50)) % 0.44/0.80 (define @t166 () (tptp.powerset @t2)) % 0.44/0.80 (define @t167 () (tptp.relation_rng_as_subset @t1 @t2 @t23)) % 0.44/0.80 (define @t168 () (tptp.union_of_subsets @t1 @t2)) % 0.44/0.80 (define @t169 () (tptp.relation @t48)) % 0.44/0.80 (define @t170 () (tptp.meet_of_subsets @t1 @t2)) % 0.44/0.80 (define @t171 () (tptp.subset_difference @t1 @t2 @t23)) % 0.44/0.80 (define @t172 () (tptp.element @t23 @t30)) % 0.44/0.80 (define @t173 () (and @t31 @t172)) % 0.44/0.80 (define @t174 () (tptp.relation @t60)) % 0.44/0.80 (define @t175 () (tptp.relation @t70)) % 0.44/0.80 (define @t176 () (tptp.finite @t39)) % 0.44/0.80 (define @t177 () (tptp.relation_composition @t2 @t1)) % 0.44/0.80 (define @t178 () (and @t17 @t50)) % 0.44/0.80 (define @t179 () (forall @t6 (=> @t16 @t176))) % 0.44/0.80 (define @t180 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.44/0.80 (define @t181 () (tptp.relation tptp.empty_set)) % 0.44/0.80 (define @t182 () (tptp.empty tptp.empty_set)) % 0.44/0.80 (define @t183 () (tptp.relation_empty_yielding @t1)) % 0.44/0.80 (define @t184 () (and @t22 @t183)) % 0.44/0.80 (define @t185 () (tptp.function @t2)) % 0.44/0.80 (define @t186 () (not (tptp.empty @t96))) % 0.44/0.80 (define @t187 () (not @t110)) % 0.44/0.80 (define @t188 () (and @t50 @t185)) % 0.44/0.80 (define @t189 () (tptp.empty @t63)) % 0.44/0.80 (define @t190 () (and @t111 @t22)) % 0.44/0.80 (define @t191 () (tptp.empty @t140)) % 0.44/0.80 (define @t192 () (tptp.in @t2 @t72)) % 0.44/0.80 (define @t193 () (tptp.disjoint @t95 @t2)) % 0.44/0.80 (define @t194 () (not @t5)) % 0.44/0.80 (define @t195 () (tptp.relation_dom @t2)) % 0.44/0.80 (define @t196 () (tptp.well_ordering @t2)) % 0.44/0.80 (define @t197 () (tptp.in (tptp.ordered_pair @t23 @t2) @t1)) % 0.44/0.80 (define @t198 () (tptp.singleton @t23)) % 0.44/0.80 (define @t199 () (not @t84)) % 0.44/0.80 (define @t200 () (tptp.singleton @t2)) % 0.44/0.80 (define @t201 () (tptp.union @t2)) % 0.44/0.80 (define @t202 () (tptp.in @t1 @t23)) % 0.44/0.80 (define @t203 () (tptp.element @t1 @t166)) % 0.44/0.80 (define @t204 () (tptp.relation_dom_restriction @t23 @t1)) % 0.44/0.80 (define @t205 () (tptp.in @t2 (tptp.relation_dom @t204))) % 0.44/0.80 (define @t206 () (tptp.one_to_one @t2)) % 0.44/0.80 (define @t207 () (tptp.set_difference @t2 @t23)) % 0.44/0.80 (define @t208 () (@var "K" $$unsorted)) % 0.44/0.80 (define @t209 () (@var "J" $$unsorted)) % 0.44/0.80 (define @t210 () (tptp.in @t208 @t209)) % 0.44/0.80 (define @t211 () (@list @t208)) % 0.44/0.80 (define @t212 () (@list @t209)) % 0.44/0.80 (define @t213 () (= @t42 @t54)) % 0.44/0.80 (define @t214 () (@var "I" $$unsorted)) % 0.44/0.80 (define @t215 () (@var "H" $$unsorted)) % 0.44/0.80 (define @t216 () (tptp.in @t214 @t215)) % 0.44/0.80 (define @t217 () (@list @t214)) % 0.44/0.80 (define @t218 () (@list @t215)) % 0.44/0.80 (define @t219 () (exists @t218 (and (= @t23 @t215) (tptp.in @t54 @t215) (forall @t217 (=> @t216 (tptp.in (tptp.ordered_pair @t54 @t214) @t2)))))) % 0.44/0.80 (define @t220 () (@var "G" $$unsorted)) % 0.44/0.80 (define @t221 () (@list @t220)) % 0.44/0.80 (define @t222 () (exists @t155 (and (= @t23 @t114) (tptp.in @t42 @t114) (forall @t221 (=> (tptp.in @t220 @t114) (tptp.in (tptp.ordered_pair @t42 @t220) @t2)))))) % 0.44/0.80 (define @t223 () (forall @t157 (=> (and @t44 @t222 @t44 @t219) @t213))) % 0.44/0.80 (define @t224 () (and @t111 @t50)) % 0.44/0.80 (define @t225 () (= @t42 @t200)) % 0.44/0.80 (define @t226 () (= @t23 @t200)) % 0.44/0.80 (define @t227 () (forall @t85 (=> (and @t3 @t226 @t3 @t225) @t43))) % 0.44/0.80 (define @t228 () (tptp.ordinal @t23)) % 0.44/0.80 (define @t229 () (tptp.apply @t23 @t114)) % 0.44/0.80 (define @t230 () (tptp.in @t114 @t1)) % 0.44/0.80 (define @t231 () (tptp.relation @t42)) % 0.44/0.80 (define @t232 () (and @t50 @t24 @t136)) % 0.44/0.80 (define @t233 () (forall @t211 (=> @t210 (tptp.in (tptp.ordered_pair @t42 @t208) @t2)))) % 0.44/0.80 (define @t234 () (tptp.in @t42 @t209)) % 0.44/0.80 (define @t235 () (@var "R" $$unsorted)) % 0.44/0.80 (define @t236 () (@var "P" $$unsorted)) % 0.44/0.80 (define @t237 () (@var "Q" $$unsorted)) % 0.44/0.80 (define @t238 () (@var "O" $$unsorted)) % 0.44/0.80 (define @t239 () (= @t114 @t54)) % 0.44/0.80 (define @t240 () (tptp.cartesian_product2 @t1 @t23)) % 0.44/0.80 (define @t241 () (= @t54 @t114)) % 0.44/0.80 (define @t242 () (@var "N" $$unsorted)) % 0.44/0.80 (define @t243 () (@var "L" $$unsorted)) % 0.44/0.80 (define @t244 () (@var "M" $$unsorted)) % 0.44/0.80 (define @t245 () (@list @t244)) % 0.44/0.80 (define @t246 () (tptp.ordered_pair @t208 @t243)) % 0.44/0.80 (define @t247 () (@list @t208 @t243)) % 0.44/0.80 (define @t248 () (= @t42 @t114)) % 0.44/0.80 (define @t249 () (tptp.in @t220 @t1)) % 0.44/0.80 (define @t250 () (tptp.ordered_pair @t220 @t215)) % 0.44/0.80 (define @t251 () (@list @t220 @t215)) % 0.44/0.80 (define @t252 () (@list @t42 @t54 @t114)) % 0.44/0.80 (define @t253 () (= @t54 @t42)) % 0.44/0.80 (define @t254 () (tptp.in @t215 @t1)) % 0.44/0.80 (define @t255 () (= @t23 @t54)) % 0.44/0.80 (define @t256 () (tptp.ordered_pair @t114 @t220)) % 0.44/0.80 (define @t257 () (@list @t114 @t220)) % 0.44/0.80 (define @t258 () (tptp.cartesian_product2 @t1 @t1)) % 0.44/0.80 (define @t259 () (tptp.apply @t23 @t220)) % 0.44/0.80 (define @t260 () (tptp.ordinal @t42)) % 0.44/0.80 (define @t261 () (tptp.succ @t2)) % 0.44/0.80 (define @t262 () (tptp.apply @t2 @t23)) % 0.44/0.80 (define @t263 () (= @t195 @t1)) % 0.44/0.80 (define @t264 () (exists @t13 (and @t50 @t185 @t263 (forall @t71 (=> @t44 (= @t262 @t198)))))) % 0.44/0.80 (define @t265 () (= @t1 @t23)) % 0.44/0.80 (define @t266 () (tptp.relation_rng @t70)) % 0.44/0.80 (define @t267 () (tptp.relation_rng @t2)) % 0.44/0.80 (define @t268 () (forall @t71 (not (and @t121 (not (tptp.are_equipotent @t23 @t2)) @t117)))) % 0.44/0.80 (define @t269 () (tptp.powerset @t23)) % 0.44/0.80 (define @t270 () (forall @t47 (=> (and @t97 (tptp.subset @t42 @t23)) @t57))) % 0.44/0.80 (define @t271 () (tptp.relation_dom_restriction @t23 @t2)) % 0.44/0.80 (define @t272 () (tptp.relation_image @t2 @t1)) % 0.44/0.80 (define @t273 () (tptp.relation_inverse_image @t2 @t1)) % 0.44/0.80 (define @t274 () (tptp.relation_image @t2 @t273)) % 0.44/0.80 (define @t275 () (tptp.set_intersection2 @t195 @t1)) % 0.44/0.80 (define @t276 () (tptp.subset @t1 @t267)) % 0.44/0.80 (define @t277 () (tptp.relation_of2_as_subset @t42 @t23 @t2)) % 0.44/0.80 (define @t278 () (tptp.relation_rng @t42)) % 0.44/0.80 (define @t279 () (tptp.relation_of2_as_subset @t42 @t23 @t1)) % 0.44/0.80 (define @t280 () (not @t179)) % 0.44/0.80 (define @t281 () (tptp.relation_rng @t156)) % 0.44/0.80 (define @t282 () (tptp.relation_inverse_image @t23 @t2)) % 0.44/0.80 (define @t283 () (tptp.relation_restriction @t23 @t2)) % 0.44/0.80 (define @t284 () (tptp.relation_restriction @t2 @t1)) % 0.44/0.80 (define @t285 () (tptp.relation_dom_restriction @t2 @t1)) % 0.44/0.80 (define @t286 () (tptp.relation_field @t23)) % 0.44/0.80 (define @t287 () (tptp.in @t1 @t286)) % 0.44/0.80 (define @t288 () (tptp.set_intersection2 @t2 @t23)) % 0.44/0.80 (define @t289 () (tptp.subset @t1 @t23)) % 0.44/0.80 (define @t290 () (tptp.element @t1 @t2)) % 0.44/0.80 (define @t291 () (tptp.subset @t2 @t23)) % 0.44/0.80 (define @t292 () (tptp.in @t1 @t133)) % 0.44/0.80 (define @t293 () (tptp.in @t143 @t23)) % 0.44/0.80 (define @t294 () (tptp.relation_field @t284)) % 0.44/0.80 (define @t295 () (tptp.apply @t23 @t1)) % 0.44/0.80 (define @t296 () (tptp.relation_composition @t23 @t2)) % 0.44/0.80 (define @t297 () (tptp.in @t1 (tptp.relation_dom @t296))) % 0.44/0.80 (define @t298 () (tptp.apply @t42 @t23)) % 0.44/0.80 (define @t299 () (tptp.function @t42)) % 0.44/0.80 (define @t300 () (and @t299 (tptp.quasi_total @t42 @t1 @t2) (tptp.relation_of2_as_subset @t42 @t1 @t2))) % 0.44/0.80 (define @t301 () (tptp.reflexive @t2)) % 0.44/0.80 (define @t302 () (tptp.connected @t2)) % 0.44/0.80 (define @t303 () (tptp.transitive @t2)) % 0.44/0.80 (define @t304 () (tptp.antisymmetric @t2)) % 0.44/0.80 (define @t305 () (tptp.well_ordering @t284)) % 0.44/0.80 (define @t306 () (= @t294 @t1)) % 0.44/0.80 (define @t307 () (tptp.well_orders @t2 @t1)) % 0.44/0.80 (define @t308 () (tptp.well_founded_relation @t2)) % 0.44/0.80 (define @t309 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.44/0.80 (define @t310 () (and @t44 @t97)) % 0.44/0.80 (define @t311 () (not @t154)) % 0.44/0.80 (define @t312 () (= @t1 @t261)) % 0.44/0.80 (define @t313 () (tptp.subset_complement @t1 @t23)) % 0.44/0.80 (define @t314 () (tptp.disjoint @t2 @t23)) % 0.44/0.80 (define @t315 () (tptp.relation_dom @t156)) % 0.44/0.80 (define @t316 () (tptp.element @t2 @t269)) % 0.44/0.80 (define @t317 () (tptp.in @t23 @t39)) % 0.44/0.80 (define @t318 () (and (tptp.in @t23 @t140) (= @t42 @t262))) % 0.44/0.80 (define @t319 () (tptp.function_inverse @t2)) % 0.44/0.80 (define @t320 () (= @t140 tptp.empty_set)) % 0.44/0.80 (define @t321 () (= @t63 tptp.empty_set)) % 0.44/0.80 (define @t322 () (= (tptp.apply @t204 @t2) (tptp.apply @t23 @t2))) % 0.44/0.80 (define @t323 () (= @t95 (tptp.unordered_pair @t2 @t23))) % 0.44/0.80 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.44/0.80 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.44/0.80 (assume @p3 (forall @t15 (=> @t14 (forall @t13 (=> @t12 (and @t11 @t10 @t9)))))) % 0.44/0.80 (assume @p4 (forall @t15 (=> @t17 @t16))) % 0.44/0.80 (assume @p5 (forall @t15 (=> @t17 @t18))) % 0.44/0.80 (assume @p6 (forall @t15 (=> @t14 @t21))) % 0.44/0.80 (assume @p7 (forall @t15 (=> @t17 @t22))) % 0.44/0.80 (assume @p8 (forall @t27 (=> @t26 @t24))) % 0.44/0.80 (assume @p9 (forall @t15 (=> (and @t17 @t14) (and @t20 @t19 @t14 @t28)))) % 0.44/0.80 (assume @p10 (forall @t15 (=> @t16 (forall @t13 (=> @t31 @t29))))) % 0.44/0.80 (assume @p11 (forall @t15 (=> @t34 @t33))) % 0.44/0.80 (assume @p12 (forall @t15 (=> @t21 @t14))) % 0.44/0.80 (assume @p13 (forall @t15 (=> @t17 @t35))) % 0.44/0.80 (assume @p14 (forall @t6 (= @t36 (tptp.unordered_pair @t2 @t1)))) % 0.44/0.80 (assume @p15 (forall @t6 (= @t38 @t37))) % 0.44/0.80 (assume @p16 (forall @t6 (= @t39 (tptp.set_intersection2 @t2 @t1)))) % 0.44/0.80 (assume @p17 (forall @t6 (=> @t41 (or @t40 (tptp.ordinal_subset @t2 @t1))))) % 0.44/0.80 (assume @p18 (forall @t6 (=> @t50 (= @t49 (forall @t47 (= @t46 (and @t44 @t43))))))) % 0.44/0.80 (assume @p19 (forall @t6 (= @t53 (and @t52 @t51)))) % 0.44/0.80 (assume @p20 (forall @t15 (=> @t22 (forall @t61 (=> @t24 (= (= @t23 @t60) (forall @t59 (= @t58 (and @t57 @t56))))))))) % 0.44/0.80 (assume @p21 (forall @t15 (=> @t68 (forall @t61 (= @t67 (forall @t66 (= @t65 (exists @t64 (and (tptp.in @t54 @t63) @t62 (= @t42 (tptp.apply @t1 @t54))))))))))) % 0.44/0.80 (assume @p22 (forall @t6 (=> @t50 (forall @t71 (=> @t24 (= (= @t23 @t70) (forall @t59 (= @t58 (and @t69 (tptp.in @t55 @t2)))))))))) % 0.44/0.80 (assume @p23 (forall @t15 (=> @t22 (= @t73 (tptp.is_antisymmetric_in @t1 @t72))))) % 0.44/0.80 (assume @p24 (forall @t15 (=> @t68 (forall @t61 (= @t76 (forall @t66 (= @t65 (and @t75 (tptp.in @t74 @t2))))))))) % 0.44/0.80 (assume @p25 (forall @t15 (=> @t22 (forall @t61 (= @t67 (forall @t66 (= @t65 (exists @t64 (and (tptp.in @t77 @t1) @t62))))))))) % 0.44/0.80 (assume @p26 (forall @t15 (=> @t22 (forall @t61 (= @t76 (forall @t66 (= @t65 (exists @t64 (and @t56 @t62))))))))) % 0.44/0.80 (assume @p27 (forall @t15 (=> @t22 (= @t78 (tptp.is_connected_in @t1 @t72))))) % 0.44/0.80 (assume @p28 (forall @t15 (=> @t22 (= @t79 (tptp.is_transitive_in @t1 @t72))))) % 0.44/0.80 (assume @p29 (forall @t81 (= (= @t42 (tptp.unordered_triple @t1 @t2 @t23)) (forall @t64 (= @t80 (not (and (not (= @t54 @t1)) (not (= @t54 @t2)) (not (= @t54 @t23))))))))) % 0.44/0.80 (assume @p30 (forall @t15 (= @t18 (forall @t85 (=> (and @t84 @t82) @t43))))) % 0.44/0.80 (assume @p31 (forall @t27 (=> @t91 (and (=> (=> @t89 @t88) (= @t87 (= @t1 @t90))) (=> @t89 (or @t88 (= @t87 @t86))))))) % 0.44/0.80 (assume @p32 (forall @t15 (=> @t94 (forall @t13 (= (= @t2 (tptp.pair_first @t1)) (forall @t47 (=> @t93 @t92))))))) % 0.44/0.80 (assume @p33 (forall @t15 (= @t96 (tptp.set_union2 @t1 @t95)))) % 0.44/0.80 (assume @p34 (forall @t15 (= @t22 (forall @t13 (not (and @t3 (forall @t47 (not (= @t2 @t45))))))))) % 0.44/0.80 (assume @p35 (forall @t15 (=> @t22 (forall @t13 (= @t98 (forall @t71 (=> @t97 (tptp.in (tptp.ordered_pair @t23 @t23) @t1)))))))) % 0.44/0.80 (assume @p36 (forall @t27 (= @t99 (tptp.subset @t23 @t25)))) % 0.44/0.80 (assume @p37 (forall @t6 (and (=> @t103 (= @t100 (forall @t71 (= @t97 (forall @t66 (=> @t102 @t101)))))) (=> @t88 (= @t100 @t89))))) % 0.44/0.80 (assume @p38 (forall @t6 (= (= @t2 @t95) (forall @t71 (= @t97 (= @t23 @t1)))))) % 0.44/0.80 (assume @p39 (forall @t15 (=> @t22 (forall @t61 (= (= @t23 (tptp.fiber @t1 @t2)) (forall @t66 (= @t65 (and (not @t104) (tptp.in (tptp.ordered_pair @t42 @t2) @t1))))))))) % 0.44/0.80 (assume @p40 (forall @t6 (=> @t50 (= (= @t2 @t107) (and (= @t106 @t1) (forall @t47 (=> (and @t44 @t102) (= @t46 @t105)))))))) % 0.44/0.80 (assume @p41 (forall @t15 (= @t88 (forall @t13 @t4)))) % 0.44/0.80 (assume @p42 (forall @t6 (= (= @t2 @t30) (forall @t71 (= @t97 (tptp.subset @t23 @t1)))))) % 0.44/0.80 (assume @p43 (forall @t15 (=> @t94 (forall @t13 (= (= @t2 (tptp.pair_second @t1)) (forall @t47 (=> @t93 @t108))))))) % 0.44/0.80 (assume @p44 (forall @t15 (= @t20 (forall @t13 (=> @t3 @t51))))) % 0.44/0.80 (assume @p45 (forall @t15 (=> @t22 (forall @t13 (=> @t50 (= @t53 (forall @t47 (= @t109 @t46)))))))) % 0.44/0.80 (assume @p46 (forall @t6 (and (=> @t111 (= @t12 @t3)) (=> @t17 (= @t12 @t110))))) % 0.44/0.80 (assume @p47 (forall @t27 (= (= @t23 @t36) (forall @t66 (= @t65 (or (= @t42 @t1) @t104)))))) % 0.44/0.80 (assume @p48 (forall @t15 (=> @t22 (= @t113 (forall @t13 (not (and (tptp.subset @t2 @t72) @t112 (forall @t71 (not (and @t97 (tptp.disjoint (tptp.fiber @t1 @t23) @t2))))))))))) % 0.44/0.80 (assume @p49 (forall @t27 (= (= @t23 @t38) (forall @t66 (= @t65 (or @t102 @t57)))))) % 0.44/0.80 (assume @p50 (forall @t27 (= (= @t23 @t25) (forall @t66 (= @t65 (exists @t116 (and @t69 (tptp.in @t114 @t2) (= @t42 @t115)))))))) % 0.44/0.80 (assume @p51 (forall @t15 (= @t19 (forall @t61 (not (and @t3 @t44 (not @t119) @t118 @t117)))))) % 0.44/0.80 (assume @p52 (forall @t15 (=> @t22 (forall @t13 (=> @t50 (= @t52 (forall @t47 (=> @t109 @t46)))))))) % 0.44/0.80 (assume @p53 (forall @t6 (= @t52 @t120))) % 0.44/0.80 (assume @p54 (forall @t15 (=> @t22 (forall @t13 (= @t122 (forall @t71 (not (and @t121 (not @t86) (forall @t66 (not (and @t65 (tptp.disjoint (tptp.fiber @t1 @t42) @t23)))))))))))) % 0.44/0.80 (assume @p55 (forall @t27 (= (= @t23 @t39) (forall @t66 (= @t65 (and @t102 @t57)))))) % 0.44/0.80 (assume @p56 (forall @t15 (=> @t68 (forall @t61 (and (=> @t125 (= @t124 @t84)) (=> (not @t125) (= @t124 @t86))))))) % 0.44/0.80 (assume @p57 (forall @t15 (= @t14 @t21))) % 0.44/0.80 (assume @p58 (forall @t15 (=> @t22 (forall @t13 (= (= @t2 @t63) (forall @t71 (= @t97 (exists @t66 @t109)))))))) % 0.44/0.80 (assume @p59 (forall @t15 (=> @t22 (forall @t13 (= @t127 (forall @t47 (=> (and @t97 @t57 @t109 @t126) @t43))))))) % 0.44/0.80 (assume @p60 (forall @t15 (= @t128 @t1))) % 0.44/0.80 (assume @p61 (forall @t6 (= (= @t2 @t129) (forall @t71 (= @t97 (exists @t66 (and @t101 @t102))))))) % 0.44/0.80 (assume @p62 (forall @t15 (=> @t22 (= @t131 (and @t130 @t79 @t73 @t78 @t113))))) % 0.44/0.80 (assume @p63 (forall @t6 (= @t137 (exists @t71 (and @t24 @t136 @t135 @t134 (= @t132 @t2)))))) % 0.44/0.80 (assume @p64 (forall @t27 (= (= @t23 @t138) (forall @t66 (= @t65 (and @t102 (not @t57))))))) % 0.44/0.80 (assume @p65 (forall @t15 (=> @t68 (forall @t13 (= @t141 (forall @t71 (= @t97 (exists @t66 @t139)))))))) % 0.44/0.80 (assume @p66 (forall @t15 (=> @t22 (forall @t13 (= @t141 (forall @t71 (= @t97 (exists @t66 @t126)))))))) % 0.44/0.80 (assume @p67 (forall @t6 (=> @t31 (= @t142 @t138)))) % 0.44/0.80 (assume @p68 (forall @t6 (= @t143 (tptp.unordered_pair @t36 @t95)))) % 0.44/0.80 (assume @p69 (forall @t15 (=> @t22 (forall @t13 (= (tptp.well_orders @t1 @t2) (and @t98 @t145 @t127 @t144 @t122)))))) % 0.44/0.80 (assume @p70 (forall @t15 (= @t146 (= @t1 @t129)))) % 0.44/0.80 (assume @p71 (forall @t15 (=> @t22 (= @t72 (tptp.set_union2 @t63 @t140))))) % 0.44/0.80 (assume @p72 (forall @t15 (=> @t22 (forall @t13 (= @t144 (forall @t47 (not (and @t97 @t57 (not @t43) (not @t109) (not @t126))))))))) % 0.44/0.80 (assume @p73 (forall @t15 (=> @t22 (forall @t13 (= @t148 (tptp.set_intersection2 @t1 @t147)))))) % 0.44/0.80 (assume @p74 (forall @t15 (=> @t22 (forall @t13 (=> @t50 (= (= @t2 @t149) (forall @t47 (= @t46 @t126)))))))) % 0.44/0.80 (assume @p75 (forall @t15 (=> @t22 (forall @t13 (=> @t50 (forall @t71 (=> @t153 (= @t152 (and (= @t133 @t72) (= @t132 @t106) @t135 (forall @t59 (= @t56 (and (tptp.in @t42 @t72) (tptp.in @t54 @t72) (tptp.in (tptp.ordered_pair @t151 @t150) @t2))))))))))))) % 0.44/0.80 (assume @p76 (forall @t6 (= @t154 (= @t39 tptp.empty_set)))) % 0.44/0.80 (assume @p77 (forall @t15 (=> @t68 (= @t32 (forall @t61 (=> (and @t125 (tptp.in @t23 @t63) (= @t123 (tptp.apply @t1 @t23))) @t92)))))) % 0.44/0.80 (assume @p78 (forall @t15 (=> @t22 (forall @t13 (=> @t50 (forall @t71 (=> @t24 (= (= @t23 @t156) (forall @t59 (= @t58 (exists @t155 (and (tptp.in (tptp.ordered_pair @t42 @t114) @t1) (tptp.in (tptp.ordered_pair @t114 @t54) @t2))))))))))))) % 0.44/0.80 (assume @p79 (forall @t15 (=> @t22 (forall @t13 (= @t145 (forall @t157 (=> (and @t97 @t57 @t62 @t109 @t56) (tptp.in (tptp.ordered_pair @t23 @t54) @t1)))))))) % 0.44/0.80 (assume @p80 (forall @t6 (=> @t160 (forall @t71 (=> (tptp.element @t23 @t159) (= (= @t23 @t158) (forall @t66 (=> (tptp.element @t42 @t30) (= @t65 (tptp.in (tptp.subset_complement @t1 @t42) @t2)))))))))) % 0.44/0.80 (assume @p81 (forall @t6 (= @t8 (and @t52 @t161)))) % 0.44/0.80 (assume @p82 (forall @t15 (=> @t68 (=> @t32 (= @t162 @t149))))) % 0.44/0.80 (assume @p83 (forall @t15 (=> @t22 (= @t130 (tptp.is_reflexive_in @t1 @t72))))) % 0.44/0.80 (assume @p84 true) % 0.44/0.80 (assume @p85 (forall @t15 (tptp.relation @t107))) % 0.44/0.80 (assume @p86 (forall @t15 (=> @t68 (and (tptp.relation @t162) (tptp.function @t162))))) % 0.44/0.80 (assume @p87 (forall @t15 (tptp.element @t128 @t30))) % 0.44/0.80 (assume @p88 (forall @t6 (=> @t22 (tptp.relation @t148)))) % 0.44/0.80 (assume @p89 (forall @t6 (=> @t31 (tptp.element @t142 @t30)))) % 0.44/0.80 (assume @p90 (forall @t15 (=> @t22 @t163))) % 0.44/0.80 (assume @p91 (forall @t27 (=> @t99 (tptp.element @t90 @t30)))) % 0.44/0.80 (assume @p92 (forall @t6 (=> @t165 @t164))) % 0.44/0.80 (assume @p93 (forall @t27 (=> @t99 (tptp.element @t167 @t166)))) % 0.44/0.80 (assume @p94 (forall @t6 (=> @t160 (tptp.element @t168 @t30)))) % 0.44/0.80 (assume @p95 (forall @t15 @t169)) % 0.44/0.80 (assume @p96 (forall @t6 (=> @t160 (tptp.element @t170 @t30)))) % 0.44/0.80 (assume @p97 (forall @t27 (=> @t173 (tptp.element @t171 @t30)))) % 0.44/0.80 (assume @p98 (forall @t6 (=> @t22 @t174))) % 0.44/0.80 (assume @p99 (forall @t6 (=> @t160 (tptp.element @t158 @t159)))) % 0.44/0.80 (assume @p100 (forall @t6 (=> @t50 @t175))) % 0.44/0.80 (assume @p101 (forall @t27 (=> @t91 @t26))) % 0.44/0.80 (assume @p102 (forall @t6 (exists @t71 @t99))) % 0.44/0.80 (assume @p103 (forall @t15 (exists @t13 @t12))) % 0.44/0.80 (assume @p104 (forall @t6 (exists @t71 @t91))) % 0.44/0.80 (assume @p105 (forall @t6 (=> @t29 @t176))) % 0.44/0.80 (assume @p106 (forall @t6 (=> @t178 (and (tptp.empty @t177) (tptp.relation @t177))))) % 0.44/0.80 (assume @p107 @t179) % 0.44/0.80 (assume @p108 (forall @t15 (=> @t17 (and (tptp.empty @t149) @t163)))) % 0.44/0.80 (assume @p109 (and @t182 @t181 @t180)) % 0.44/0.80 (assume @p110 (forall @t6 (=> @t184 (and @t174 (tptp.relation_empty_yielding @t60))))) % 0.44/0.80 (assume @p111 (forall @t6 (=> (and @t22 @t18 @t50 @t185) (and @t164 (tptp.function @t156))))) % 0.44/0.80 (assume @p112 (forall @t15 @t186)) % 0.44/0.80 (assume @p113 (forall @t6 (=> @t165 (tptp.relation @t39)))) % 0.44/0.80 (assume @p114 (forall @t15 (not (tptp.empty @t30)))) % 0.44/0.80 (assume @p115 @t182) % 0.44/0.80 (assume @p116 (forall @t6 (not (tptp.empty @t143)))) % 0.44/0.80 (assume @p117 (forall @t15 (and @t169 (tptp.function @t48)))) % 0.44/0.80 (assume @p118 (and @t181 @t180 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t182 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.44/0.80 (assume @p119 (forall @t6 (=> @t165 (tptp.relation @t38)))) % 0.44/0.80 (assume @p120 (forall @t15 (not (tptp.empty @t95)))) % 0.44/0.80 (assume @p121 (forall @t6 (=> @t111 (not (tptp.empty @t38))))) % 0.44/0.80 (assume @p122 (forall @t15 (=> @t33 (and @t163 (tptp.function @t149))))) % 0.44/0.80 (assume @p123 (forall @t15 (=> @t14 (and @t186 (tptp.epsilon_transitive @t96) (tptp.epsilon_connected @t96) (tptp.ordinal @t96))))) % 0.44/0.80 (assume @p124 (forall @t6 (=> @t165 (tptp.relation @t138)))) % 0.44/0.80 (assume @p125 (forall @t6 (not (tptp.empty @t36)))) % 0.44/0.80 (assume @p126 (forall @t6 (=> @t111 (not (tptp.empty @t37))))) % 0.44/0.80 (assume @p127 (forall @t6 (=> @t68 (and @t174 (tptp.function @t60))))) % 0.44/0.80 (assume @p128 (forall @t15 (=> @t14 (and (tptp.epsilon_transitive @t129) (tptp.epsilon_connected @t129) (tptp.ordinal @t129))))) % 0.44/0.80 (assume @p129 (and @t182 @t181)) % 0.44/0.80 (assume @p130 (forall @t6 (=> (and @t111 @t187) (not (tptp.empty @t25))))) % 0.44/0.80 (assume @p131 (forall @t6 (=> @t188 (and @t175 (tptp.function @t70))))) % 0.44/0.80 (assume @p132 (forall @t15 (=> @t190 (not @t189)))) % 0.44/0.80 (assume @p133 (forall @t15 (=> @t190 (not @t191)))) % 0.44/0.80 (assume @p134 (forall @t15 (=> @t17 (and @t189 (tptp.relation @t63))))) % 0.44/0.80 (assume @p135 (forall @t15 (=> @t17 (and @t191 (tptp.relation @t140))))) % 0.44/0.80 (assume @p136 (forall @t6 (=> @t178 (and (tptp.empty @t156) @t164)))) % 0.44/0.80 (assume @p137 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.44/0.80 (assume @p138 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.44/0.80 (assume @p139 (forall @t6 (=> @t31 (= (tptp.subset_complement @t1 @t142) @t2)))) % 0.44/0.80 (assume @p140 (forall @t15 (=> @t22 (= (tptp.relation_inverse @t149) @t1)))) % 0.44/0.80 (assume @p141 (forall @t6 (=> @t160 (= (tptp.complements_of_subsets @t1 @t158) @t2)))) % 0.44/0.80 (assume @p142 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.44/0.80 (assume @p143 (forall @t15 (=> @t22 (= @t130 (forall @t13 (=> @t192 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 0.44/0.80 (assume @p144 (forall @t15 (not (= @t95 tptp.empty_set)))) % 0.44/0.80 (assume @p145 (forall @t6 (=> @t5 (= (tptp.set_union2 @t95 @t2) @t2)))) % 0.44/0.80 (assume @p146 (forall @t6 (not (and @t193 @t5)))) % 0.44/0.80 (assume @p147 (forall @t6 (=> @t194 @t193))) % 0.44/0.80 (assume @p148 (forall @t6 (=> @t50 (tptp.subset (tptp.relation_dom @t70) @t195)))) % 0.44/0.80 (assume @p149 (forall @t15 (=> @t22 (= @t79 (forall @t85 (=> (and @t84 @t109) @t82)))))) % 0.44/0.80 (assume @p150 (forall @t6 (= (tptp.subset @t95 @t2) @t5))) % 0.44/0.80 (assume @p151 (forall @t6 (=> @t50 (not (and @t196 (tptp.equipotent @t1 @t106) (forall @t71 (=> @t24 (not (tptp.well_orders @t23 @t1))))))))) % 0.44/0.80 (assume @p152 (forall @t6 (= (= @t138 tptp.empty_set) @t52))) % 0.44/0.80 (assume @p153 (forall @t6 (=> @t31 (forall @t71 (=> @t97 @t44))))) % 0.44/0.80 (assume @p154 (forall @t15 (=> @t22 (= @t73 (forall @t61 (=> (and @t84 @t197) @t92)))))) % 0.44/0.80 (assume @p155 (forall @t27 (=> @t52 (or @t44 (tptp.subset @t1 (tptp.set_difference @t2 @t198)))))) % 0.44/0.80 (assume @p156 (forall @t15 (=> @t22 (= @t78 (forall @t61 (not (and @t192 (tptp.in @t23 @t72) @t118 @t199 (not @t197)))))))) % 0.44/0.80 (assume @p157 (forall @t6 (= (tptp.subset @t1 @t200) (or @t88 (= @t1 @t200))))) % 0.44/0.80 (assume @p158 (forall @t6 (=> @t5 (tptp.subset @t1 @t201)))) % 0.44/0.80 (assume @p159 (forall @t81 (= (tptp.in @t143 (tptp.cartesian_product2 @t23 @t42)) (and @t202 (tptp.in @t2 @t42))))) % 0.44/0.80 (assume @p160 (forall @t6 (=> @t120 @t203))) % 0.44/0.80 (assume @p161 (forall @t27 (=> @t153 (= @t205 (and (tptp.in @t2 @t133) @t3))))) % 0.44/0.80 (assume @p162 (exists @t15 (and @t111 @t20 @t19 @t14 @t28))) % 0.44/0.80 (assume @p163 (exists @t15 (and @t111 @t16))) % 0.44/0.80 (assume @p164 (exists @t15 @t68)) % 0.44/0.80 (assume @p165 (forall @t6 (exists @t71 (and @t99 @t24 @t136 @t87)))) % 0.44/0.80 (assume @p166 (exists @t15 @t35)) % 0.44/0.80 (assume @p167 (exists @t15 (and @t22 @t18 @t32 @t17))) % 0.44/0.80 (assume @p168 (exists @t15 (and @t17 @t22))) % 0.44/0.80 (assume @p169 (forall @t15 (=> @t111 (exists @t13 (and @t31 @t187))))) % 0.44/0.80 (assume @p170 (exists @t15 @t17)) % 0.44/0.80 (assume @p171 (forall @t15 (exists @t13 (and @t31 @t110 @t50 @t185 @t206 @t11 @t10 @t9 (tptp.natural @t2) @t29)))) % 0.44/0.80 (assume @p172 (exists @t15 @t34)) % 0.44/0.80 (assume @p173 (exists @t15 (and @t22 @t18 @t32 @t17 @t20 @t19 @t14))) % 0.44/0.80 (assume @p174 (forall @t6 (exists @t71 (and @t99 @t24 @t136)))) % 0.44/0.80 (assume @p175 (exists @t15 @t190)) % 0.44/0.80 (assume @p176 (forall @t15 (exists @t13 (and @t31 @t110)))) % 0.44/0.80 (assume @p177 (exists @t15 @t111)) % 0.44/0.80 (assume @p178 (forall @t15 (=> @t111 (exists @t13 (and @t31 @t187 @t29))))) % 0.44/0.80 (assume @p179 (exists @t15 @t33)) % 0.44/0.80 (assume @p180 (exists @t15 (and @t111 @t20 @t19 @t14))) % 0.44/0.80 (assume @p181 (exists @t15 @t184)) % 0.44/0.80 (assume @p182 (exists @t15 (and @t22 @t183 @t18))) % 0.44/0.80 (assume @p183 (forall @t27 (=> @t99 (= @t90 @t133)))) % 0.44/0.80 (assume @p184 (forall @t27 (=> @t99 (= @t167 @t132)))) % 0.44/0.80 (assume @p185 (forall @t6 (=> @t160 (= @t168 @t201)))) % 0.44/0.80 (assume @p186 (forall @t6 (=> @t160 (= @t170 (tptp.set_meet @t2))))) % 0.44/0.80 (assume @p187 (forall @t27 (=> @t173 (= @t171 @t207)))) % 0.44/0.80 (assume @p188 (forall @t27 (= @t91 @t99))) % 0.44/0.80 (assume @p189 (forall @t6 (=> @t41 (= @t40 @t52)))) % 0.44/0.80 (assume @p190 (forall @t6 (= @t137 (tptp.are_equipotent @t1 @t2)))) % 0.44/0.80 (assume @p191 (forall @t6 (=> @t41 (tptp.ordinal_subset @t1 @t1)))) % 0.44/0.80 (assume @p192 (forall @t6 (tptp.subset @t1 @t1))) % 0.44/0.80 (assume @p193 (forall @t6 (tptp.equipotent @t1 @t1))) % 0.44/0.80 (assume @p194 (forall @t6 (=> @t224 (=> @t223 (exists @t71 (and @t24 @t136 (forall @t59 (= @t58 (and @t102 @t102 (exists @t212 (and (= @t42 @t209) (tptp.in @t54 @t209) (forall @t211 (=> @t210 (tptp.in (tptp.ordered_pair @t54 @t208) @t2)))))))))))))) % 0.44/0.80 (assume @p195 (forall @t15 (=> @t227 (exists @t13 (and @t50 @t185 (forall @t47 (= @t46 (and @t44 @t44 (= @t42 @t198))))))))) % 0.44/0.80 (assume @p196 (forall @t15 (=> (exists @t13 (and @t9 @t3)) (exists @t13 (and @t9 @t3 (forall @t71 (=> @t228 (=> @t44 (tptp.ordinal_subset @t2 @t23))))))))) % 0.44/0.80 (assume @p197 (forall @t27 (=> @t232 (exists @t66 (and @t231 (forall @t116 (= (tptp.in @t115 @t42) (and @t69 @t230 (tptp.in (tptp.ordered_pair @t150 @t229) @t2))))))))) % 0.44/0.80 (assume @p198 (forall @t6 (=> @t224 (=> @t223 (exists @t71 (forall @t66 (= @t65 (exists @t64 (and @t69 @t69 (exists @t212 (and (= @t54 @t209) @t234 @t233))))))))))) % 0.44/0.80 (assume @p199 (forall @t6 (=> @t224 (forall @t71 (=> (forall @t252 (=> (and @t213 (exists @t251 (and (= @t250 @t54) @t249 (exists @t217 (and (= @t220 @t214) (tptp.in @t215 @t214) (forall @t212 (=> (tptp.in @t209 @t214) (tptp.in (tptp.ordered_pair @t215 @t209) @t2))))))) @t248 (exists @t247 (and (= @t246 @t114) (tptp.in @t208 @t1) (exists @t245 (and (= @t208 @t244) (tptp.in @t243 @t244) (forall (@list @t242) (=> (tptp.in @t242 @t244) (tptp.in (tptp.ordered_pair @t243 @t242) @t2)))))))) @t241)) (exists @t66 (forall @t64 (= @t80 (exists @t155 (and (tptp.in @t114 @t240) @t239 (exists (@list @t238 @t236) (and (= (tptp.ordered_pair @t238 @t236) @t54) (tptp.in @t238 @t1) (exists (@list @t237) (and (= @t238 @t237) (tptp.in @t236 @t237) (forall (@list @t235) (=> (tptp.in @t235 @t237) (tptp.in (tptp.ordered_pair @t236 @t235) @t2))))))))))))))))) % 0.44/0.80 (assume @p200 (forall @t15 (=> @t227 (exists @t13 (forall @t71 (= @t97 (exists @t66 (and @t102 @t102 (= @t23 (tptp.singleton @t42)))))))))) % 0.44/0.80 (assume @p201 (forall @t6 (=> (forall @t157 (=> (and @t43 (exists @t257 (and (= @t256 @t42) @t230 (= @t220 (tptp.singleton @t114)))) @t255 (exists (@list @t215 @t214) (and (= (tptp.ordered_pair @t215 @t214) @t54) @t254 (= @t214 (tptp.singleton @t215))))) @t213)) (exists @t71 (forall @t66 (= @t65 (exists @t64 (and (tptp.in @t54 @t25) @t253 (exists (@list @t209 @t208) (and (= (tptp.ordered_pair @t209 @t208) @t42) (tptp.in @t209 @t1) (= @t208 (tptp.singleton @t209)))))))))))) % 0.44/0.80 (assume @p202 (forall @t27 (=> @t232 (=> (forall @t252 (=> (and @t213 (exists @t251 (and (= @t54 @t250) (tptp.in (tptp.ordered_pair @t259 (tptp.apply @t23 @t215)) @t2))) @t248 (exists (@list @t214 @t209) (and (= @t114 (tptp.ordered_pair @t214 @t209)) (tptp.in (tptp.ordered_pair (tptp.apply @t23 @t214) (tptp.apply @t23 @t209)) @t2)))) @t241)) (exists @t66 (forall @t64 (= @t80 (exists @t155 (and (tptp.in @t114 @t258) @t239 (exists @t247 (and (= @t54 @t246) (tptp.in (tptp.ordered_pair (tptp.apply @t23 @t208) (tptp.apply @t23 @t243)) @t2)))))))))))) % 0.44/0.80 (assume @p203 (forall @t15 (=> (forall @t85 (=> (and @t92 @t228 @t108 @t260) @t43)) (exists @t13 (forall @t71 (= @t97 (exists @t66 (and @t102 (= @t42 @t23) @t228)))))))) % 0.44/0.80 (assume @p204 (forall @t6 (=> @t9 (=> (forall @t157 (=> (and @t43 (exists @t155 (and (tptp.ordinal @t114) @t248 @t230)) @t255 (exists @t221 (and (tptp.ordinal @t220) (= @t54 @t220) @t249))) @t213)) (exists @t71 (forall @t66 (= @t65 (exists @t64 (and (tptp.in @t54 @t261) @t253 (exists @t218 (and (tptp.ordinal @t215) (= @t42 @t215) @t254))))))))))) % 0.44/0.80 (assume @p205 (forall @t6 (=> @t224 (forall @t71 (exists @t66 (forall @t64 (= @t80 (and (tptp.in @t54 @t240) (exists @t257 (and (= @t256 @t54) @t230 (exists @t218 (and (= @t114 @t215) (tptp.in @t220 @t215) (forall @t217 (=> @t216 (tptp.in (tptp.ordered_pair @t220 @t214) @t2))))))))))))))) % 0.44/0.80 (assume @p206 (forall @t6 (exists @t71 (forall @t66 (= @t65 (and (tptp.in @t42 @t25) (exists @t116 (and (= @t115 @t42) @t69 (= @t114 (tptp.singleton @t54)))))))))) % 0.44/0.80 (assume @p207 (forall @t27 (=> @t232 (exists @t66 (forall @t64 (= @t80 (and (tptp.in @t54 @t258) (exists @t257 (and (= @t54 @t256) (tptp.in (tptp.ordered_pair @t229 @t259) @t2)))))))))) % 0.44/0.80 (assume @p208 (forall @t15 (exists @t13 (forall @t71 (= @t97 (and @t44 @t228)))))) % 0.44/0.80 (assume @p209 (forall @t6 (=> @t9 (exists @t71 (forall @t66 (= @t65 (and (tptp.in @t42 @t261) (exists @t64 (and (tptp.ordinal @t54) @t213 @t69))))))))) % 0.44/0.80 (assume @p210 (forall @t6 (=> @t224 (=> (and (forall @t157 (=> (and @t44 @t222 @t219) @t213)) (forall @t71 (not (and @t44 (forall @t66 (not (exists @t212 (and (= @t23 @t209) @t234 @t233)))))))) (exists @t71 (and @t24 @t136 @t134 (forall @t66 (=> @t102 (exists (@list @t243) (and (= @t42 @t243) (tptp.in @t151 @t243) (forall @t245 (=> (tptp.in @t244 @t243) (tptp.in (tptp.ordered_pair @t151 @t244) @t2))))))))))))) % 0.44/0.80 (assume @p211 (forall @t15 (=> (and (forall @t85 (=> (and @t3 @t226 @t225) @t43)) (forall @t13 (not (and @t3 (forall @t71 (not @t226)))))) @t264))) % 0.44/0.80 (assume @p212 (forall @t15 @t264)) % 0.44/0.80 (assume @p213 (forall @t6 (=> @t154 (tptp.disjoint @t2 @t1)))) % 0.44/0.80 (assume @p214 (forall @t6 (=> @t137 (tptp.equipotent @t2 @t1)))) % 0.44/0.80 (assume @p215 (forall @t15 (tptp.in @t1 @t96))) % 0.44/0.80 (assume @p216 (forall @t81 (not (and (= @t36 (tptp.unordered_pair @t23 @t42)) (not @t265) (not (= @t1 @t42)))))) % 0.44/0.80 (assume @p217 (forall @t27 (=> @t24 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t23))) (and @t5 (tptp.in @t1 @t132)))))) % 0.44/0.80 (assume @p218 (forall @t6 (=> @t50 (tptp.subset @t266 @t1)))) % 0.44/0.80 (assume @p219 (forall @t6 (=> @t50 (tptp.subset @t70 @t2)))) % 0.44/0.80 (assume @p220 (forall @t6 (=> @t50 (tptp.subset @t266 @t267)))) % 0.44/0.80 (assume @p221 (forall @t27 (=> @t52 (and (tptp.subset @t240 (tptp.cartesian_product2 @t2 @t23)) (tptp.subset (tptp.cartesian_product2 @t23 @t1) (tptp.cartesian_product2 @t23 @t2)))))) % 0.44/0.80 (assume @p222 (forall @t6 (=> @t50 (= @t266 (tptp.set_intersection2 @t267 @t1))))) % 0.44/0.80 (assume @p223 (forall @t81 (=> (and @t52 @t105) (tptp.subset @t240 (tptp.cartesian_product2 @t2 @t42))))) % 0.44/0.80 (assume @p224 (forall @t27 (=> @t91 (and (tptp.subset @t133 @t1) (tptp.subset @t132 @t2))))) % 0.44/0.80 (assume @p225 (forall @t6 (=> @t52 (= @t38 @t2)))) % 0.44/0.80 (assume @p226 (forall @t15 (exists @t13 (and @t5 @t270 (forall @t71 (=> @t97 (tptp.in @t269 @t2))) @t268)))) % 0.44/0.80 (assume @p227 (forall @t6 (=> (and @t52 @t29) @t16))) % 0.44/0.80 (assume @p228 (forall @t27 (=> @t24 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t23) @t2) (tptp.relation_rng_restriction @t1 @t271))))) % 0.44/0.80 (assume @p229 (forall @t27 (=> @t24 (= (tptp.in @t1 (tptp.relation_image @t23 @t2)) (exists @t66 (and (tptp.in @t42 @t133) (tptp.in (tptp.ordered_pair @t42 @t1) @t23) @t57)))))) % 0.44/0.80 (assume @p230 (forall @t6 (=> @t50 (tptp.subset @t272 @t267)))) % 0.44/0.80 (assume @p231 (forall @t6 (=> @t188 (tptp.subset @t274 @t1)))) % 0.44/0.80 (assume @p232 (forall @t6 (=> @t50 (= @t272 (tptp.relation_image @t2 @t275))))) % 0.44/0.80 (assume @p233 (forall @t6 (=> @t50 (=> (tptp.subset @t1 @t195) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t272)))))) % 0.44/0.80 (assume @p234 (forall @t15 (=> @t22 (= (tptp.relation_image @t1 @t63) @t140)))) % 0.44/0.80 (assume @p235 (forall @t6 (=> @t188 (=> @t276 (= @t274 @t1))))) % 0.44/0.80 (assume @p236 (forall @t81 (=> @t279 (=> (tptp.subset @t278 @t2) @t277)))) % 0.44/0.80 (assume @p237 @t280) % 0.44/0.80 (assume @p238 (forall @t15 (=> @t22 (forall @t13 (=> @t50 (= @t281 (tptp.relation_image @t2 @t140))))))) % 0.44/0.80 (assume @p239 (forall @t27 (=> @t24 (= (tptp.in @t1 @t282) (exists @t66 (and (tptp.in @t42 @t132) (tptp.in (tptp.ordered_pair @t1 @t42) @t23) @t57)))))) % 0.44/0.80 (assume @p240 (forall @t6 (=> @t50 (tptp.subset @t273 @t195)))) % 0.44/0.80 (assume @p241 (forall @t81 (=> @t279 (=> @t52 @t277)))) % 0.44/0.80 (assume @p242 (forall @t27 (=> @t24 (= (tptp.in @t1 @t283) (and @t202 (tptp.in @t1 @t147)))))) % 0.44/0.80 (assume @p243 (forall @t6 (=> @t50 (not (and @t103 @t276 (= @t273 tptp.empty_set)))))) % 0.44/0.80 (assume @p244 (forall @t27 (=> @t24 (=> @t52 (tptp.subset (tptp.relation_inverse_image @t23 @t1) @t282))))) % 0.44/0.80 (assume @p245 (forall @t6 (=> @t50 (= @t284 (tptp.relation_dom_restriction @t70 @t1))))) % 0.44/0.80 (assume @p246 (forall @t6 (tptp.subset @t39 @t1))) % 0.44/0.80 (assume @p247 (forall @t6 (=> @t50 (= @t284 (tptp.relation_rng_restriction @t1 @t285))))) % 0.44/0.80 (assume @p248 (forall @t27 (=> @t24 (=> (tptp.in @t1 (tptp.relation_field @t283)) (and @t287 @t5))))) % 0.44/0.80 (assume @p249 (forall @t27 (=> (and @t52 @t289) (tptp.subset @t1 @t288)))) % 0.44/0.80 (assume @p250 (forall @t15 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.44/0.80 (assume @p251 (forall @t6 (=> @t5 @t290))) % 0.44/0.80 (assume @p252 (forall @t27 (=> (and @t52 @t291) @t289))) % 0.44/0.80 (assume @p253 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 0.44/0.80 (assume @p254 (forall @t27 (=> @t24 (=> @t293 (and @t292 (tptp.in @t2 @t132)))))) % 0.44/0.80 (assume @p255 (forall @t6 (=> @t50 (and (tptp.subset @t294 @t106) (tptp.subset @t294 @t1))))) % 0.44/0.80 (assume @p256 (forall @t6 (=> @t188 (forall @t71 (=> @t153 (= @t297 (and @t292 (tptp.in @t295 @t195)))))))) % 0.44/0.80 (assume @p257 (forall @t81 (=> @t300 (forall @t64 (=> (and (tptp.relation @t54) (tptp.function @t54)) (=> @t44 (or @t89 (= (tptp.apply (tptp.relation_composition @t42 @t54) @t23) (tptp.apply @t54 @t298))))))))) % 0.44/0.80 (assume @p258 (forall @t15 (=> @t20 (forall @t13 (=> @t9 (=> @t8 @t5)))))) % 0.44/0.80 (assume @p259 (forall @t15 (=> @t22 (tptp.subset @t1 (tptp.cartesian_product2 @t63 @t140))))) % 0.44/0.80 (assume @p260 (forall @t27 (=> @t24 (tptp.subset (tptp.fiber (tptp.relation_restriction @t23 @t1) @t2) (tptp.fiber @t23 @t2))))) % 0.44/0.80 (assume @p261 (forall @t6 (=> @t188 (forall @t71 (=> @t153 (=> @t297 (= (tptp.apply @t296 @t1) (tptp.apply @t2 @t295)))))))) % 0.44/0.80 (assume @p262 (forall @t27 (=> (tptp.relation_of2_as_subset @t23 @t2 @t1) (= (forall @t66 (not (and @t57 (forall @t64 (not @t58))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t23) @t2))))) % 0.44/0.80 (assume @p263 (forall @t6 (=> @t50 (=> @t301 (tptp.reflexive @t284))))) % 0.44/0.80 (assume @p264 (forall @t6 (=> @t188 (forall @t71 (=> @t153 (=> (tptp.in @t1 @t195) (= (tptp.apply (tptp.relation_composition @t2 @t23) @t1) (tptp.apply @t23 (tptp.apply @t2 @t1))))))))) % 0.44/0.80 (assume @p265 (forall @t6 (=> @t9 (=> @t5 @t14)))) % 0.44/0.80 (assume @p266 (forall @t27 (=> @t91 (= (forall @t66 (not (and @t57 (forall @t64 (not (tptp.in @t77 @t23)))))) (= @t167 @t2))))) % 0.44/0.80 (assume @p267 (forall @t6 (=> @t50 (=> @t302 (tptp.connected @t284))))) % 0.44/0.80 (assume @p268 (forall @t15 (=> @t14 (forall @t13 (=> @t9 (not (and @t194 @t161 @t4))))))) % 0.44/0.80 (assume @p269 (forall @t6 (=> @t50 (=> @t303 (tptp.transitive @t284))))) % 0.44/0.80 (assume @p270 (forall @t15 (=> @t22 (forall @t13 (=> @t50 (=> @t52 (and (tptp.subset @t63 @t195) (tptp.subset @t140 @t267)))))))) % 0.44/0.80 (assume @p271 (forall @t6 (=> @t50 (=> @t304 (tptp.antisymmetric @t284))))) % 0.44/0.80 (assume @p272 (forall @t6 (=> @t50 (=> @t307 (and @t306 @t305))))) % 0.44/0.80 (assume @p273 (forall @t15 (exists @t13 (and @t50 @t307)))) % 0.44/0.80 (assume @p274 (forall @t27 (=> @t52 (tptp.subset (tptp.set_intersection2 @t1 @t23) @t288)))) % 0.44/0.80 (assume @p275 (forall @t15 (=> @t111 (not (and (forall @t13 (not (and @t3 @t89))) (forall @t13 (=> @t188 (not (and @t263 (forall @t71 (=> @t44 (tptp.in @t262 @t23)))))))))))) % 0.44/0.80 (assume @p276 (forall @t6 (=> @t52 (= @t39 @t1)))) % 0.44/0.80 (assume @p277 (forall @t15 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.44/0.80 (assume @p278 (forall @t6 (=> @t290 (or @t110 @t5)))) % 0.44/0.80 (assume @p279 (forall @t6 (=> (forall @t71 (= @t44 @t97)) @t53))) % 0.44/0.80 (assume @p280 (forall @t15 (tptp.reflexive @t107))) % 0.44/0.80 (assume @p281 (forall @t15 (tptp.subset tptp.empty_set @t1))) % 0.44/0.80 (assume @p282 (forall @t27 (=> @t24 (=> @t293 (and @t287 (tptp.in @t2 @t286)))))) % 0.44/0.80 (assume @p283 (forall @t15 (=> (forall @t13 (=> @t3 (and @t9 @t51))) @t14))) % 0.44/0.80 (assume @p284 (forall @t6 (=> @t50 (=> @t308 (tptp.well_founded_relation @t284))))) % 0.44/0.80 (assume @p285 (forall @t6 (=> @t9 (not (and @t52 @t103 (forall @t71 (=> @t228 (not (and @t44 (forall @t66 (=> @t260 (=> @t102 (tptp.ordinal_subset @t23 @t42))))))))))))) % 0.44/0.80 (assume @p286 (forall @t6 (=> @t50 (=> @t196 @t305)))) % 0.44/0.80 (assume @p287 (forall @t15 (=> @t14 (forall @t13 (=> @t9 (= @t5 (tptp.ordinal_subset @t96 @t2))))))) % 0.44/0.80 (assume @p288 (forall @t27 (=> @t52 (tptp.subset (tptp.set_difference @t1 @t23) @t207)))) % 0.44/0.80 (assume @p289 (forall @t81 (=> (= @t143 @t45) (and @t265 @t108)))) % 0.44/0.80 (assume @p290 (forall @t6 (=> @t188 (= @t49 (and @t263 (forall @t71 (=> @t44 (= @t262 @t23)))))))) % 0.44/0.80 (assume @p291 (forall @t6 (=> @t3 (= (tptp.apply @t48 @t2) @t2)))) % 0.44/0.80 (assume @p292 (forall @t6 (tptp.subset @t138 @t1))) % 0.44/0.80 (assume @p293 (forall @t15 (=> @t22 (and (= @t140 (tptp.relation_dom @t149)) (= @t63 (tptp.relation_rng @t149)))))) % 0.44/0.80 (assume @p294 (forall @t27 (= (tptp.subset @t36 @t23) (and @t202 @t119)))) % 0.44/0.80 (assume @p295 (forall @t6 (=> @t50 (=> (and @t196 (tptp.subset @t1 @t106)) @t306)))) % 0.44/0.80 (assume @p296 (forall @t6 (= @t309 @t38))) % 0.44/0.80 (assume @p297 (forall @t15 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.44/0.80 (assume @p298 (forall @t27 (not (and @t5 @t119 @t44)))) % 0.44/0.80 (assume @p299 (forall @t6 (= @t203 @t52))) % 0.44/0.80 (assume @p300 (forall @t15 (tptp.transitive @t107))) % 0.44/0.80 (assume @p301 (forall @t6 (and (not (and @t311 (forall @t71 (not @t310)))) (not (and (exists @t71 @t310) @t154))))) % 0.44/0.80 (assume @p302 (forall @t15 (=> (tptp.subset @t1 tptp.empty_set) @t88))) % 0.44/0.80 (assume @p303 (forall @t6 (= (tptp.set_difference @t38 @t2) @t138))) % 0.44/0.80 (assume @p304 (forall @t15 (=> @t14 (= @t146 (forall @t13 (=> @t9 (=> @t3 (tptp.in @t261 @t1)))))))) % 0.44/0.80 (assume @p305 (forall @t15 (=> @t14 (and (not (and (not @t146) (forall @t13 (=> @t9 (not @t312))))) (not (and (exists @t13 (and @t9 @t312)) @t146)))))) % 0.44/0.80 (assume @p306 (forall @t6 (=> @t31 (forall @t71 (=> @t172 (= @t314 (tptp.subset @t2 @t313))))))) % 0.44/0.80 (assume @p307 (forall @t15 (=> @t22 (forall @t13 (=> @t50 (tptp.subset @t315 @t63)))))) % 0.44/0.80 (assume @p308 (forall @t15 (=> @t22 (forall @t13 (=> @t50 (tptp.subset @t281 @t267)))))) % 0.44/0.80 (assume @p309 (forall @t6 (=> @t52 (= @t2 @t309)))) % 0.44/0.80 (assume @p310 (forall @t81 (=> @t300 (=> @t112 (forall @t64 (= (tptp.in @t54 (tptp.relation_inverse_image @t42 @t23)) (and @t69 (tptp.in (tptp.apply @t42 @t54) @t23)))))))) % 0.44/0.80 (assume @p311 (forall @t15 (=> @t22 (forall @t13 (=> @t50 (=> (tptp.subset @t140 @t195) (= @t315 @t63))))))) % 0.44/0.80 (assume @p312 (forall @t6 (=> @t160 (not (and @t112 (= @t158 tptp.empty_set)))))) % 0.44/0.80 (assume @p313 (forall @t15 (=> @t22 (forall @t13 (=> @t50 (=> (tptp.subset @t63 @t267) (= (tptp.relation_rng @t177) @t140))))))) % 0.44/0.80 (assume @p314 (forall @t6 (=> @t160 (=> @t112 (= (tptp.subset_difference @t1 @t128 @t168) (tptp.meet_of_subsets @t1 @t158)))))) % 0.44/0.80 (assume @p315 (forall @t6 (=> @t160 (=> @t112 (= (tptp.union_of_subsets @t1 @t158) (tptp.subset_difference @t1 @t128 @t170)))))) % 0.44/0.80 (assume @p316 (forall @t6 (= (tptp.set_difference @t1 @t138) @t39))) % 0.44/0.80 (assume @p317 (forall @t15 (=> @t22 (forall @t13 (=> @t50 (forall @t71 (=> @t153 (=> @t152 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t23)))))))))) % 0.44/0.80 (assume @p318 (forall @t15 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.44/0.80 (assume @p319 (forall @t27 (=> (and @t5 @t316) (tptp.element @t1 @t23)))) % 0.44/0.80 (assume @p320 (forall @t15 (=> @t14 (tptp.connected @t107)))) % 0.44/0.80 (assume @p321 (forall @t6 (and (not (and @t311 (forall @t71 (not @t317)))) (not (and (exists @t71 @t317) @t154))))) % 0.44/0.80 (assume @p322 (forall @t15 (=> @t103 (forall @t13 (=> @t31 (forall @t71 (=> (tptp.element @t23 @t1) (=> @t117 (tptp.in @t23 @t142))))))))) % 0.44/0.80 (assume @p323 (forall @t15 (=> @t22 (forall @t13 (=> @t50 (forall @t71 (=> @t153 (=> @t152 (and (=> @t130 @t301) (=> @t79 @t303) (=> @t78 @t302) (=> @t73 @t304) (=> @t113 @t308)))))))))) % 0.44/0.80 (assume @p324 (forall @t15 (=> @t68 (=> @t32 (forall @t13 (=> @t188 (= (= @t2 @t162) (and (= @t195 @t140) (forall @t47 (and (=> @t318 @t139) (=> @t139 @t318))))))))))) % 0.44/0.80 (assume @p325 (forall @t27 (=> @t172 (not (and (tptp.in @t2 @t313) @t119))))) % 0.44/0.80 (assume @p326 (forall @t15 (=> @t22 (forall @t13 (=> @t50 (forall @t71 (=> @t153 (=> (and @t131 @t152) @t196)))))))) % 0.44/0.80 (assume @p327 (forall @t15 (=> @t68 (=> @t32 (and (= @t140 (tptp.relation_dom @t162)) (= @t63 (tptp.relation_rng @t162))))))) % 0.44/0.80 (assume @p328 (forall @t15 (=> @t22 (=> (forall @t61 @t199) @t88)))) % 0.44/0.80 (assume @p329 (forall @t6 (=> @t188 (=> (and @t206 (tptp.in @t1 @t267)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t319 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t319 @t2) @t1))))))) % 0.44/0.80 (assume @p330 (forall @t27 (not (and @t5 @t316 (tptp.empty @t23))))) % 0.44/0.80 (assume @p331 (forall @t15 (=> @t22 (= @t113 (tptp.is_well_founded_in @t1 @t72))))) % 0.44/0.80 (assume @p332 (forall @t15 (tptp.antisymmetric @t107))) % 0.44/0.80 (assume @p333 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.44/0.80 (assume @p334 (forall @t6 (not (and @t52 @t7)))) % 0.44/0.80 (assume @p335 (forall @t15 (=> @t68 (=> @t32 (tptp.one_to_one @t162))))) % 0.44/0.80 (assume @p336 (forall @t27 (=> (and @t52 @t314) (tptp.disjoint @t1 @t23)))) % 0.44/0.80 (assume @p337 (forall @t15 (=> @t22 (=> (or @t321 @t320) @t88)))) % 0.44/0.80 (assume @p338 (forall @t15 (=> @t22 (= @t321 @t320)))) % 0.44/0.80 (assume @p339 (forall @t6 (= (= (tptp.set_difference @t1 @t200) @t1) @t4))) % 0.44/0.80 (assume @p340 (forall @t6 (=> @t188 (forall @t71 (=> @t153 (= (= @t2 @t204) (and (= @t195 (tptp.set_intersection2 @t133 @t1)) (forall @t66 (=> (tptp.in @t42 @t195) (= (tptp.apply @t2 @t42) @t151)))))))))) % 0.44/0.80 (assume @p341 (forall @t15 (= (tptp.unordered_pair @t1 @t1) @t95))) % 0.44/0.80 (assume @p342 (forall @t15 (=> @t17 @t88))) % 0.44/0.80 (assume @p343 (forall @t81 (=> @t300 (=> @t44 (or @t89 (tptp.in @t298 @t278)))))) % 0.44/0.80 (assume @p344 (forall @t15 (=> @t14 (tptp.well_founded_relation @t107)))) % 0.44/0.80 (assume @p345 (forall @t6 (=> (tptp.subset @t95 @t200) @t53))) % 0.44/0.80 (assume @p346 (forall @t27 (=> @t153 (=> @t205 @t322)))) % 0.44/0.80 (assume @p347 (forall @t15 (and (= (tptp.relation_dom @t48) @t1) (= (tptp.relation_rng @t48) @t1)))) % 0.44/0.80 (assume @p348 (forall @t27 (=> @t153 (=> @t3 @t322)))) % 0.44/0.80 (assume @p349 (forall @t81 (=> @t231 (= (tptp.in @t143 (tptp.relation_composition (tptp.identity_relation @t23) @t42)) (and @t202 (tptp.in @t143 @t42)))))) % 0.44/0.80 (assume @p350 (forall @t6 (not (and @t5 @t110)))) % 0.44/0.80 (assume @p351 (forall @t6 (and (= (tptp.pair_first @t143) @t1) (= (tptp.pair_second @t143) @t2)))) % 0.44/0.80 (assume @p352 (forall @t6 (not (and @t5 (forall @t71 (not (and @t97 (forall @t66 (not (and @t57 @t65)))))))))) % 0.44/0.80 (assume @p353 (forall @t15 (=> @t14 (tptp.well_ordering @t107)))) % 0.44/0.80 (assume @p354 (forall @t6 (tptp.subset @t1 @t38))) % 0.44/0.80 (assume @p355 (forall @t6 (= @t154 (= @t138 @t1)))) % 0.44/0.80 (assume @p356 (forall @t27 (=> @t24 (= (tptp.in @t1 (tptp.relation_dom @t271)) (and @t5 @t292))))) % 0.44/0.80 (assume @p357 (forall @t6 (=> @t50 (tptp.subset @t285 @t2)))) % 0.44/0.80 (assume @p358 (forall @t6 (not (and @t17 @t161 @t110)))) % 0.44/0.80 (assume @p359 (forall @t27 (=> @t153 (= @t293 (and @t292 (= @t2 @t295)))))) % 0.44/0.80 (assume @p360 (forall @t15 (=> @t22 (= (tptp.well_orders @t1 @t72) @t131)))) % 0.44/0.80 (assume @p361 (forall @t27 (=> (and @t52 @t121) (tptp.subset (tptp.set_union2 @t1 @t23) @t2)))) % 0.44/0.80 (assume @p362 (forall @t27 (=> @t323 @t53))) % 0.44/0.80 (assume @p363 (forall @t6 (=> @t50 (= (tptp.relation_dom @t285) @t275)))) % 0.44/0.80 (assume @p364 (forall @t6 (=> @t50 (= @t285 (tptp.relation_composition @t48 @t2))))) % 0.44/0.80 (assume @p365 (forall @t6 (=> @t50 (tptp.subset (tptp.relation_rng @t285) @t267)))) % 0.44/0.80 (assume @p366 (forall @t15 (= (tptp.union @t30) @t1))) % 0.44/0.80 (assume @p367 (forall @t81 (=> @t300 (=> @t291 (or (and @t89 @t103) (and @t299 (tptp.quasi_total @t42 @t1 @t23) (tptp.relation_of2_as_subset @t42 @t1 @t23))))))) % 0.44/0.80 (assume @p368 (forall @t15 (exists @t13 (and @t5 @t270 (forall @t71 (not (and @t97 (forall @t66 (not (and @t57 (forall @t64 (=> (tptp.subset @t54 @t23) @t80)))))))) @t268)))) % 0.44/0.80 (assume @p369 (forall @t27 (=> @t323 @t92))) % 0.44/0.80 (step @p370 :rule bool-impl-elim :args (@t16 @t176)) % 0.44/0.80 (step @p371 :rule cong :premises (@p370) :args (@t179)) % 0.44/0.80 (step @p372 :rule eq_resolve :premises (@p107 @p371)) % 0.44/0.80 (step @p373 :rule cong :premises (@p371) :args (@t280)) % 0.44/0.80 (step @p374 :rule eq_resolve :premises (@p237 @p373)) % 0.44/0.80 (step @p375 false :rule chain_m_resolution :premises (@p374 @p372) :args (false (@list false) (@list (forall @t6 (or (not @t16) @t176))))) % 0.44/0.80 ) % 0.44/0.80 % SZS output end Proof % 0.44/0.80 % cvc5 exiting %------------------------------------------------------------------------------