%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU292+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 : n003.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 08:51:16 AM UTC 2026 % Result : Theorem 2.60s 2.80s % Output : Proof 2.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU292+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:53:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.37/0.60 %----Proving TF0_NAR, FOF, or CNF % 2.60/2.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.60/2.80 % SZS status Theorem % 2.60/2.80 % SZS output start Proof % 2.60/2.80 ( % 2.60/2.80 (declare-sort $$unsorted 0) % 2.60/2.80 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.empty_set $$unsorted) % 2.60/2.80 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.empty (-> $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.function (-> $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.connected (-> $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.relation (-> $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.transitive (-> $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 2.60/2.80 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 2.60/2.80 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 2.60/2.80 (define @t1 () (@var "A" $$unsorted)) % 2.60/2.80 (define @t2 () (@var "B" $$unsorted)) % 2.60/2.80 (define @t3 () (tptp.in @t2 @t1)) % 2.60/2.80 (define @t4 () (not @t3)) % 2.60/2.80 (define @t5 () (tptp.in @t1 @t2)) % 2.60/2.80 (define @t6 () (@list @t1 @t2)) % 2.60/2.80 (define @t7 () (tptp.proper_subset @t2 @t1)) % 2.60/2.80 (define @t8 () (tptp.proper_subset @t1 @t2)) % 2.60/2.80 (define @t9 () (tptp.function @t1)) % 2.60/2.80 (define @t10 () (tptp.empty @t1)) % 2.60/2.80 (define @t11 () (@list @t1)) % 2.60/2.80 (define @t12 () (tptp.epsilon_connected @t1)) % 2.60/2.80 (define @t13 () (tptp.epsilon_transitive @t1)) % 2.60/2.80 (define @t14 () (and @t13 @t12)) % 2.60/2.80 (define @t15 () (tptp.ordinal @t1)) % 2.60/2.80 (define @t16 () (tptp.relation @t1)) % 2.60/2.80 (define @t17 () (@var "C" $$unsorted)) % 2.60/2.80 (define @t18 () (tptp.relation @t17)) % 2.60/2.80 (define @t19 () (tptp.cartesian_product2 @t1 @t2)) % 2.60/2.80 (define @t20 () (tptp.element @t17 (tptp.powerset @t19))) % 2.60/2.80 (define @t21 () (@list @t1 @t2 @t17)) % 2.60/2.80 (define @t22 () (forall @t21 (=> @t20 @t18))) % 2.60/2.80 (define @t23 () (tptp.one_to_one @t1)) % 2.60/2.80 (define @t24 () (and @t16 @t9 @t23)) % 2.60/2.80 (define @t25 () (and @t16 @t10 @t9)) % 2.60/2.80 (define @t26 () (and @t13 @t12 @t15)) % 2.60/2.80 (define @t27 () (tptp.unordered_pair @t1 @t2)) % 2.60/2.80 (define @t28 () (tptp.set_union2 @t2 @t1)) % 2.60/2.80 (define @t29 () (tptp.set_union2 @t1 @t2)) % 2.60/2.80 (define @t30 () (tptp.set_intersection2 @t1 @t2)) % 2.60/2.80 (define @t31 () (tptp.ordinal_subset @t1 @t2)) % 2.60/2.80 (define @t32 () (tptp.ordinal @t2)) % 2.60/2.80 (define @t33 () (and @t15 @t32)) % 2.60/2.80 (define @t34 () (@var "D" $$unsorted)) % 2.60/2.80 (define @t35 () (= @t17 @t34)) % 2.60/2.80 (define @t36 () (tptp.in @t17 @t1)) % 2.60/2.80 (define @t37 () (tptp.ordered_pair @t17 @t34)) % 2.60/2.80 (define @t38 () (tptp.in @t37 @t2)) % 2.60/2.80 (define @t39 () (@list @t17 @t34)) % 2.60/2.80 (define @t40 () (tptp.identity_relation @t1)) % 2.60/2.80 (define @t41 () (= @t2 @t40)) % 2.60/2.80 (define @t42 () (tptp.relation @t2)) % 2.60/2.80 (define @t43 () (tptp.subset @t2 @t1)) % 2.60/2.80 (define @t44 () (tptp.subset @t1 @t2)) % 2.60/2.80 (define @t45 () (= @t1 @t2)) % 2.60/2.80 (define @t46 () (@var "E" $$unsorted)) % 2.60/2.80 (define @t47 () (tptp.ordered_pair @t34 @t46)) % 2.60/2.80 (define @t48 () (tptp.in @t47 @t1)) % 2.60/2.80 (define @t49 () (tptp.in @t34 @t2)) % 2.60/2.80 (define @t50 () (tptp.in @t47 @t17)) % 2.60/2.80 (define @t51 () (@list @t34 @t46)) % 2.60/2.80 (define @t52 () (tptp.relation_dom_restriction @t1 @t2)) % 2.60/2.80 (define @t53 () (@list @t2 @t17)) % 2.60/2.80 (define @t54 () (tptp.in @t46 @t2)) % 2.60/2.80 (define @t55 () (tptp.relation_dom @t1)) % 2.60/2.80 (define @t56 () (@list @t46)) % 2.60/2.80 (define @t57 () (tptp.in @t34 @t17)) % 2.60/2.80 (define @t58 () (@list @t34)) % 2.60/2.80 (define @t59 () (= @t17 (tptp.relation_image @t1 @t2))) % 2.60/2.80 (define @t60 () (and @t16 @t9)) % 2.60/2.80 (define @t61 () (tptp.in @t46 @t1)) % 2.60/2.80 (define @t62 () (tptp.relation_rng_restriction @t1 @t2)) % 2.60/2.80 (define @t63 () (@list @t17)) % 2.60/2.80 (define @t64 () (tptp.relation_field @t1)) % 2.60/2.80 (define @t65 () (tptp.antisymmetric @t1)) % 2.60/2.80 (define @t66 () (tptp.apply @t1 @t34)) % 2.60/2.80 (define @t67 () (tptp.in @t34 @t55)) % 2.60/2.80 (define @t68 () (= @t17 (tptp.relation_inverse_image @t1 @t2))) % 2.60/2.80 (define @t69 () (tptp.ordered_pair @t46 @t34)) % 2.60/2.80 (define @t70 () (tptp.connected @t1)) % 2.60/2.80 (define @t71 () (tptp.transitive @t1)) % 2.60/2.80 (define @t72 () (tptp.in @t46 @t34)) % 2.60/2.80 (define @t73 () (@list @t1 @t2 @t17 @t34)) % 2.60/2.80 (define @t74 () (tptp.in (tptp.ordered_pair @t2 @t34) @t1)) % 2.60/2.80 (define @t75 () (tptp.ordered_pair @t2 @t17)) % 2.60/2.80 (define @t76 () (tptp.in @t75 @t1)) % 2.60/2.80 (define @t77 () (@list @t2 @t17 @t34)) % 2.60/2.80 (define @t78 () (= @t17 tptp.empty_set)) % 2.60/2.80 (define @t79 () (tptp.quasi_total @t17 @t1 @t2)) % 2.60/2.80 (define @t80 () (= @t79 @t78)) % 2.60/2.80 (define @t81 () (= @t1 tptp.empty_set)) % 2.60/2.80 (define @t82 () (or @t81 @t80)) % 2.60/2.80 (define @t83 () (= @t2 tptp.empty_set)) % 2.60/2.80 (define @t84 () (tptp.relation_dom_as_subset @t1 @t2 @t17)) % 2.60/2.80 (define @t85 () (= @t79 (= @t1 @t84))) % 2.60/2.80 (define @t86 () (=> @t83 @t81)) % 2.60/2.80 (define @t87 () (and (=> @t86 @t85) (=> @t83 @t82))) % 2.60/2.80 (define @t88 () (tptp.relation_of2_as_subset @t17 @t1 @t2)) % 2.60/2.80 (define @t89 () (forall @t21 (=> @t88 @t87))) % 2.60/2.80 (define @t90 () (= @t2 @t17)) % 2.60/2.80 (define @t91 () (= @t1 @t37)) % 2.60/2.80 (define @t92 () (@list @t2)) % 2.60/2.80 (define @t93 () (exists @t53 (= @t1 @t75))) % 2.60/2.80 (define @t94 () (tptp.singleton @t1)) % 2.60/2.80 (define @t95 () (tptp.succ @t1)) % 2.60/2.80 (define @t96 () (tptp.in @t17 @t2)) % 2.60/2.80 (define @t97 () (tptp.is_reflexive_in @t1 @t2)) % 2.60/2.80 (define @t98 () (tptp.relation_of2 @t17 @t1 @t2)) % 2.60/2.80 (define @t99 () (= @t2 (tptp.set_meet @t1))) % 2.60/2.80 (define @t100 () (tptp.in @t17 @t34)) % 2.60/2.80 (define @t101 () (tptp.in @t34 @t1)) % 2.60/2.80 (define @t102 () (not @t81)) % 2.60/2.80 (define @t103 () (= @t34 @t2)) % 2.60/2.80 (define @t104 () (tptp.subset @t17 @t34)) % 2.60/2.80 (define @t105 () (tptp.relation_field @t2)) % 2.60/2.80 (define @t106 () (tptp.inclusion_relation @t1)) % 2.60/2.80 (define @t107 () (tptp.powerset @t1)) % 2.60/2.80 (define @t108 () (= @t2 @t34)) % 2.60/2.80 (define @t109 () (tptp.in @t37 @t1)) % 2.60/2.80 (define @t110 () (tptp.empty @t2)) % 2.60/2.80 (define @t111 () (tptp.element @t2 @t1)) % 2.60/2.80 (define @t112 () (not @t10)) % 2.60/2.80 (define @t113 () (not @t83)) % 2.60/2.80 (define @t114 () (tptp.well_founded_relation @t1)) % 2.60/2.80 (define @t115 () (@var "F" $$unsorted)) % 2.60/2.80 (define @t116 () (tptp.ordered_pair @t46 @t115)) % 2.60/2.80 (define @t117 () (@list @t46 @t115)) % 2.60/2.80 (define @t118 () (not @t96)) % 2.60/2.80 (define @t119 () (not @t90)) % 2.60/2.80 (define @t120 () (tptp.in @t2 @t17)) % 2.60/2.80 (define @t121 () (forall @t63 (=> @t36 @t96))) % 2.60/2.80 (define @t122 () (tptp.subset @t17 @t2)) % 2.60/2.80 (define @t123 () (tptp.is_well_founded_in @t1 @t2)) % 2.60/2.80 (define @t124 () (tptp.apply @t1 @t2)) % 2.60/2.80 (define @t125 () (= @t17 @t124)) % 2.60/2.80 (define @t126 () (tptp.in @t2 @t55)) % 2.60/2.80 (define @t127 () (tptp.in (tptp.ordered_pair @t34 @t17) @t1)) % 2.60/2.80 (define @t128 () (tptp.is_antisymmetric_in @t1 @t2)) % 2.60/2.80 (define @t129 () (tptp.cast_to_subset @t1)) % 2.60/2.80 (define @t130 () (tptp.union @t1)) % 2.60/2.80 (define @t131 () (tptp.reflexive @t1)) % 2.60/2.80 (define @t132 () (tptp.well_ordering @t1)) % 2.60/2.80 (define @t133 () (tptp.relation_rng @t17)) % 2.60/2.80 (define @t134 () (tptp.relation_dom @t17)) % 2.60/2.80 (define @t135 () (= @t134 @t1)) % 2.60/2.80 (define @t136 () (tptp.one_to_one @t17)) % 2.60/2.80 (define @t137 () (tptp.function @t17)) % 2.60/2.80 (define @t138 () (tptp.equipotent @t1 @t2)) % 2.60/2.80 (define @t139 () (tptp.set_difference @t1 @t2)) % 2.60/2.80 (define @t140 () (and @t67 (= @t17 @t66))) % 2.60/2.80 (define @t141 () (tptp.relation_rng @t1)) % 2.60/2.80 (define @t142 () (= @t2 @t141)) % 2.60/2.80 (define @t143 () (tptp.subset_complement @t1 @t2)) % 2.60/2.80 (define @t144 () (tptp.element @t2 @t107)) % 2.60/2.80 (define @t145 () (tptp.ordered_pair @t1 @t2)) % 2.60/2.80 (define @t146 () (tptp.is_connected_in @t1 @t2)) % 2.60/2.80 (define @t147 () (tptp.is_transitive_in @t1 @t2)) % 2.60/2.80 (define @t148 () (tptp.being_limit_ordinal @t1)) % 2.60/2.80 (define @t149 () (tptp.cartesian_product2 @t2 @t2)) % 2.60/2.80 (define @t150 () (tptp.relation_restriction @t1 @t2)) % 2.60/2.80 (define @t151 () (tptp.relation_inverse @t1)) % 2.60/2.80 (define @t152 () (tptp.apply @t17 @t46)) % 2.60/2.80 (define @t153 () (tptp.apply @t17 @t34)) % 2.60/2.80 (define @t154 () (tptp.relation_isomorphism @t1 @t2 @t17)) % 2.60/2.80 (define @t155 () (and @t18 @t137)) % 2.60/2.80 (define @t156 () (tptp.disjoint @t1 @t2)) % 2.60/2.80 (define @t157 () (@list @t115)) % 2.60/2.80 (define @t158 () (tptp.relation_composition @t1 @t2)) % 2.60/2.80 (define @t159 () (@list @t17 @t34 @t46)) % 2.60/2.80 (define @t160 () (tptp.complements_of_subsets @t1 @t2)) % 2.60/2.80 (define @t161 () (tptp.powerset @t107)) % 2.60/2.80 (define @t162 () (tptp.element @t2 @t161)) % 2.60/2.80 (define @t163 () (not @t45)) % 2.60/2.80 (define @t164 () (tptp.function_inverse @t1)) % 2.60/2.80 (define @t165 () (tptp.relation @t151)) % 2.60/2.80 (define @t166 () (tptp.relation @t158)) % 2.60/2.80 (define @t167 () (and @t16 @t42)) % 2.60/2.80 (define @t168 () (tptp.powerset @t2)) % 2.60/2.80 (define @t169 () (tptp.relation_rng_as_subset @t1 @t2 @t17)) % 2.60/2.80 (define @t170 () (tptp.union_of_subsets @t1 @t2)) % 2.60/2.80 (define @t171 () (tptp.relation @t40)) % 2.60/2.80 (define @t172 () (tptp.meet_of_subsets @t1 @t2)) % 2.60/2.80 (define @t173 () (tptp.subset_difference @t1 @t2 @t17)) % 2.60/2.80 (define @t174 () (tptp.element @t17 @t107)) % 2.60/2.80 (define @t175 () (and @t144 @t174)) % 2.60/2.80 (define @t176 () (tptp.relation @t52)) % 2.60/2.80 (define @t177 () (tptp.relation @t62)) % 2.60/2.80 (define @t178 () (forall @t21 (=> @t88 @t20))) % 2.60/2.80 (define @t179 () (tptp.relation_composition @t2 @t1)) % 2.60/2.80 (define @t180 () (and @t10 @t42)) % 2.60/2.80 (define @t181 () (tptp.relation_empty_yielding tptp.empty_set)) % 2.60/2.80 (define @t182 () (tptp.relation tptp.empty_set)) % 2.60/2.80 (define @t183 () (tptp.empty tptp.empty_set)) % 2.60/2.80 (define @t184 () (tptp.relation_empty_yielding @t1)) % 2.60/2.80 (define @t185 () (and @t16 @t184)) % 2.60/2.80 (define @t186 () (tptp.function @t2)) % 2.60/2.80 (define @t187 () (not (tptp.empty @t95))) % 2.60/2.80 (define @t188 () (not @t110)) % 2.60/2.80 (define @t189 () (and @t42 @t186)) % 2.60/2.80 (define @t190 () (tptp.empty @t55)) % 2.60/2.80 (define @t191 () (and @t112 @t16)) % 2.60/2.80 (define @t192 () (tptp.empty @t141)) % 2.60/2.80 (define @t193 () (tptp.in @t2 @t64)) % 2.60/2.80 (define @t194 () (tptp.disjoint @t94 @t2)) % 2.60/2.80 (define @t195 () (forall @t6 (not (and @t194 @t5)))) % 2.60/2.80 (define @t196 () (not @t5)) % 2.60/2.80 (define @t197 () (forall @t6 (=> @t196 @t194))) % 2.60/2.80 (define @t198 () (tptp.relation_dom @t2)) % 2.60/2.80 (define @t199 () (tptp.well_ordering @t2)) % 2.60/2.80 (define @t200 () (tptp.in (tptp.ordered_pair @t17 @t2) @t1)) % 2.60/2.80 (define @t201 () (tptp.singleton @t17)) % 2.60/2.80 (define @t202 () (not @t76)) % 2.60/2.80 (define @t203 () (tptp.singleton @t2)) % 2.60/2.80 (define @t204 () (tptp.union @t2)) % 2.60/2.80 (define @t205 () (tptp.in @t1 @t17)) % 2.60/2.80 (define @t206 () (tptp.element @t1 @t168)) % 2.60/2.80 (define @t207 () (tptp.relation_dom_restriction @t17 @t1)) % 2.60/2.80 (define @t208 () (tptp.in @t2 (tptp.relation_dom @t207))) % 2.60/2.80 (define @t209 () (= @t84 @t134)) % 2.60/2.80 (define @t210 () (forall @t21 (=> @t98 @t209))) % 2.60/2.80 (define @t211 () (tptp.set_difference @t2 @t17)) % 2.60/2.80 (define @t212 () (@var "K" $$unsorted)) % 2.60/2.80 (define @t213 () (@var "J" $$unsorted)) % 2.60/2.80 (define @t214 () (tptp.in @t212 @t213)) % 2.60/2.80 (define @t215 () (@list @t212)) % 2.60/2.80 (define @t216 () (@list @t213)) % 2.60/2.80 (define @t217 () (= @t34 @t46)) % 2.60/2.80 (define @t218 () (@var "I" $$unsorted)) % 2.60/2.80 (define @t219 () (@var "H" $$unsorted)) % 2.60/2.80 (define @t220 () (tptp.in @t218 @t219)) % 2.60/2.80 (define @t221 () (@list @t218)) % 2.60/2.80 (define @t222 () (@list @t219)) % 2.60/2.80 (define @t223 () (exists @t222 (and (= @t17 @t219) (tptp.in @t46 @t219) (forall @t221 (=> @t220 (tptp.in (tptp.ordered_pair @t46 @t218) @t2)))))) % 2.60/2.80 (define @t224 () (@var "G" $$unsorted)) % 2.60/2.80 (define @t225 () (@list @t224)) % 2.60/2.80 (define @t226 () (exists @t157 (and (= @t17 @t115) (tptp.in @t34 @t115) (forall @t225 (=> (tptp.in @t224 @t115) (tptp.in (tptp.ordered_pair @t34 @t224) @t2)))))) % 2.60/2.80 (define @t227 () (forall @t159 (=> (and @t36 @t226 @t36 @t223) @t217))) % 2.60/2.80 (define @t228 () (and @t112 @t42)) % 2.60/2.80 (define @t229 () (= @t34 @t203)) % 2.60/2.80 (define @t230 () (= @t17 @t203)) % 2.60/2.80 (define @t231 () (forall @t77 (=> (and @t3 @t230 @t3 @t229) @t35))) % 2.60/2.80 (define @t232 () (tptp.ordinal @t17)) % 2.60/2.80 (define @t233 () (tptp.apply @t17 @t115)) % 2.60/2.80 (define @t234 () (tptp.in @t115 @t1)) % 2.60/2.80 (define @t235 () (tptp.relation @t34)) % 2.60/2.80 (define @t236 () (and @t42 @t18 @t137)) % 2.60/2.80 (define @t237 () (forall @t215 (=> @t214 (tptp.in (tptp.ordered_pair @t34 @t212) @t2)))) % 2.60/2.80 (define @t238 () (tptp.in @t34 @t213)) % 2.60/2.80 (define @t239 () (@var "R" $$unsorted)) % 2.60/2.80 (define @t240 () (@var "P" $$unsorted)) % 2.60/2.80 (define @t241 () (@var "Q" $$unsorted)) % 2.60/2.80 (define @t242 () (@var "O" $$unsorted)) % 2.60/2.80 (define @t243 () (= @t115 @t46)) % 2.60/2.80 (define @t244 () (tptp.cartesian_product2 @t1 @t17)) % 2.60/2.80 (define @t245 () (= @t46 @t115)) % 2.60/2.80 (define @t246 () (@var "N" $$unsorted)) % 2.60/2.80 (define @t247 () (@var "L" $$unsorted)) % 2.60/2.80 (define @t248 () (@var "M" $$unsorted)) % 2.60/2.80 (define @t249 () (@list @t248)) % 2.60/2.80 (define @t250 () (tptp.ordered_pair @t212 @t247)) % 2.60/2.80 (define @t251 () (@list @t212 @t247)) % 2.60/2.80 (define @t252 () (= @t34 @t115)) % 2.60/2.80 (define @t253 () (tptp.in @t224 @t1)) % 2.60/2.80 (define @t254 () (tptp.ordered_pair @t224 @t219)) % 2.60/2.80 (define @t255 () (@list @t224 @t219)) % 2.60/2.80 (define @t256 () (@list @t34 @t46 @t115)) % 2.60/2.80 (define @t257 () (= @t46 @t34)) % 2.60/2.80 (define @t258 () (tptp.in @t219 @t1)) % 2.60/2.80 (define @t259 () (= @t17 @t46)) % 2.60/2.80 (define @t260 () (tptp.ordered_pair @t115 @t224)) % 2.60/2.80 (define @t261 () (@list @t115 @t224)) % 2.60/2.80 (define @t262 () (tptp.cartesian_product2 @t1 @t1)) % 2.60/2.80 (define @t263 () (tptp.apply @t17 @t224)) % 2.60/2.80 (define @t264 () (tptp.ordinal @t34)) % 2.60/2.80 (define @t265 () (tptp.succ @t2)) % 2.60/2.80 (define @t266 () (tptp.apply @t2 @t17)) % 2.60/2.80 (define @t267 () (= @t198 @t1)) % 2.60/2.80 (define @t268 () (exists @t92 (and @t42 @t186 @t267 (forall @t63 (=> @t36 (= @t266 @t201)))))) % 2.60/2.80 (define @t269 () (= @t1 @t17)) % 2.60/2.80 (define @t270 () (tptp.relation_rng @t62)) % 2.60/2.80 (define @t271 () (tptp.relation_rng @t2)) % 2.60/2.80 (define @t272 () (forall @t63 (not (and @t122 (not (tptp.are_equipotent @t17 @t2)) @t118)))) % 2.60/2.80 (define @t273 () (tptp.powerset @t17)) % 2.60/2.80 (define @t274 () (forall @t39 (=> (and @t96 (tptp.subset @t34 @t17)) @t49))) % 2.60/2.80 (define @t275 () (tptp.relation_dom_restriction @t17 @t2)) % 2.60/2.80 (define @t276 () (tptp.relation_image @t2 @t1)) % 2.60/2.80 (define @t277 () (tptp.relation_inverse_image @t2 @t1)) % 2.60/2.80 (define @t278 () (tptp.relation_image @t2 @t277)) % 2.60/2.80 (define @t279 () (tptp.set_intersection2 @t198 @t1)) % 2.60/2.80 (define @t280 () (tptp.subset @t1 @t271)) % 2.60/2.80 (define @t281 () (tptp.relation_of2_as_subset @t34 @t17 @t2)) % 2.60/2.80 (define @t282 () (tptp.relation_rng @t34)) % 2.60/2.80 (define @t283 () (tptp.relation_of2_as_subset @t34 @t17 @t1)) % 2.60/2.80 (define @t284 () (tptp.relation_rng @t158)) % 2.60/2.80 (define @t285 () (tptp.relation_inverse_image @t17 @t2)) % 2.60/2.80 (define @t286 () (tptp.relation_restriction @t17 @t2)) % 2.60/2.80 (define @t287 () (tptp.relation_restriction @t2 @t1)) % 2.60/2.80 (define @t288 () (tptp.relation_dom_restriction @t2 @t1)) % 2.60/2.80 (define @t289 () (tptp.relation_field @t17)) % 2.60/2.80 (define @t290 () (tptp.in @t1 @t289)) % 2.60/2.80 (define @t291 () (tptp.set_intersection2 @t2 @t17)) % 2.60/2.80 (define @t292 () (tptp.subset @t1 @t17)) % 2.60/2.80 (define @t293 () (tptp.element @t1 @t2)) % 2.60/2.80 (define @t294 () (tptp.subset @t2 @t17)) % 2.60/2.80 (define @t295 () (tptp.in @t1 @t134)) % 2.60/2.80 (define @t296 () (tptp.in @t145 @t17)) % 2.60/2.80 (define @t297 () (tptp.relation_field @t287)) % 2.60/2.80 (define @t298 () (tptp.apply @t17 @t1)) % 2.60/2.80 (define @t299 () (tptp.relation_composition @t17 @t2)) % 2.60/2.80 (define @t300 () (tptp.in @t1 (tptp.relation_dom @t299))) % 2.60/2.80 (define @t301 () (tptp.apply @t34 @t17)) % 2.60/2.80 (define @t302 () (= (tptp.apply (tptp.relation_composition @t34 @t46) @t17) (tptp.apply @t46 @t301))) % 2.60/2.80 (define @t303 () (or @t83 @t302)) % 2.60/2.80 (define @t304 () (=> @t36 @t303)) % 2.60/2.80 (define @t305 () (tptp.function @t46)) % 2.60/2.80 (define @t306 () (tptp.relation @t46)) % 2.60/2.80 (define @t307 () (and @t306 @t305)) % 2.60/2.80 (define @t308 () (forall @t56 (=> @t307 @t304))) % 2.60/2.80 (define @t309 () (tptp.relation_of2_as_subset @t34 @t1 @t2)) % 2.60/2.80 (define @t310 () (tptp.quasi_total @t34 @t1 @t2)) % 2.60/2.80 (define @t311 () (tptp.function @t34)) % 2.60/2.80 (define @t312 () (and @t311 @t310 @t309)) % 2.60/2.80 (define @t313 () (=> @t312 @t308)) % 2.60/2.80 (define @t314 () (forall @t73 @t313)) % 2.60/2.80 (define @t315 () (not @t314)) % 2.60/2.80 (define @t316 () (tptp.reflexive @t2)) % 2.60/2.80 (define @t317 () (tptp.apply @t2 @t1)) % 2.60/2.80 (define @t318 () (= (tptp.apply (tptp.relation_composition @t2 @t17) @t1) (tptp.apply @t17 @t317))) % 2.60/2.80 (define @t319 () (tptp.in @t1 @t198)) % 2.60/2.80 (define @t320 () (=> @t319 @t318)) % 2.60/2.80 (define @t321 () (forall @t63 (=> @t155 @t320))) % 2.60/2.80 (define @t322 () (=> @t189 @t321)) % 2.60/2.80 (define @t323 () (forall @t6 @t322)) % 2.60/2.80 (define @t324 () (tptp.connected @t2)) % 2.60/2.80 (define @t325 () (tptp.transitive @t2)) % 2.60/2.80 (define @t326 () (tptp.antisymmetric @t2)) % 2.60/2.80 (define @t327 () (tptp.well_ordering @t287)) % 2.60/2.80 (define @t328 () (= @t297 @t1)) % 2.60/2.80 (define @t329 () (tptp.well_orders @t2 @t1)) % 2.60/2.80 (define @t330 () (tptp.well_founded_relation @t2)) % 2.60/2.80 (define @t331 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 2.60/2.80 (define @t332 () (and @t36 @t96)) % 2.60/2.80 (define @t333 () (not @t156)) % 2.60/2.80 (define @t334 () (= @t1 @t265)) % 2.60/2.80 (define @t335 () (tptp.subset_complement @t1 @t17)) % 2.60/2.80 (define @t336 () (tptp.disjoint @t2 @t17)) % 2.60/2.80 (define @t337 () (tptp.relation_dom @t158)) % 2.60/2.80 (define @t338 () (tptp.element @t2 @t273)) % 2.60/2.80 (define @t339 () (tptp.in @t17 @t30)) % 2.60/2.80 (define @t340 () (and (tptp.in @t17 @t141) (= @t34 @t266))) % 2.60/2.80 (define @t341 () (tptp.function_inverse @t2)) % 2.60/2.80 (define @t342 () (= @t141 tptp.empty_set)) % 2.60/2.80 (define @t343 () (= @t55 tptp.empty_set)) % 2.60/2.80 (define @t344 () (= (tptp.apply @t207 @t2) (tptp.apply @t17 @t2))) % 2.60/2.80 (define @t345 () (= @t94 (tptp.unordered_pair @t2 @t17))) % 2.60/2.80 (define @t346 () (and @t83 @t102)) % 2.60/2.80 (define @t347 () (@var "BOUND_VARIABLE_12771" $$unsorted)) % 2.60/2.80 (define @t348 () (= (tptp.apply (tptp.relation_composition @t34 @t347) @t17) (tptp.apply @t347 @t301))) % 2.60/2.80 (define @t349 () (not (tptp.function @t347))) % 2.60/2.80 (define @t350 () (not (tptp.relation @t347))) % 2.60/2.80 (define @t351 () (not @t36)) % 2.60/2.80 (define @t352 () (not @t309)) % 2.60/2.80 (define @t353 () (not @t310)) % 2.60/2.80 (define @t354 () (not @t311)) % 2.60/2.80 (define @t355 () (or @t354 @t353 @t352 @t351 @t83 @t350 @t349 @t348)) % 2.60/2.80 (define @t356 () (@list @t1 @t2 @t17 @t34 @t347)) % 2.60/2.80 (define @t357 () (forall @t356 @t355)) % 2.60/2.80 (define @t358 () (@quantifiers_skolemize @t357 0)) % 2.60/2.80 (define @t359 () (@quantifiers_skolemize @t357 2)) % 2.60/2.80 (define @t360 () (or @t350 @t349 @t348)) % 2.60/2.80 (define @t361 () (or @t354 @t353 @t352 @t351 @t83 @t360)) % 2.60/2.80 (define @t362 () (forall @t356 @t361)) % 2.60/2.80 (define @t363 () (@list @t347)) % 2.60/2.80 (define @t364 () (forall @t363 @t361)) % 2.60/2.80 (define @t365 () (forall @t363 @t360)) % 2.60/2.80 (define @t366 () (or @t354 @t353 @t352 @t351 @t83 @t365)) % 2.60/2.80 (define @t367 () (not @t305)) % 2.60/2.80 (define @t368 () (not @t306)) % 2.60/2.80 (define @t369 () (or @t368 @t367 @t302)) % 2.60/2.80 (define @t370 () (forall @t56 @t369)) % 2.60/2.80 (define @t371 () (or @t354 @t353 @t352 @t351 @t83 @t370)) % 2.60/2.80 (define @t372 () (or @t351 @t83 @t370)) % 2.60/2.80 (define @t373 () (or @t354 @t353 @t352)) % 2.60/2.80 (define @t374 () (or @t351 @t83 @t369)) % 2.60/2.80 (define @t375 () (or @t368 @t367 @t351 @t83 @t302)) % 2.60/2.80 (define @t376 () (or @t351 @t83 @t302)) % 2.60/2.80 (define @t377 () (@quantifiers_skolemize @t357 3)) % 2.60/2.80 (define @t378 () (@quantifiers_skolemize @t357 4)) % 2.60/2.80 (define @t379 () (= (tptp.apply (tptp.relation_composition @t377 @t378) @t359) (tptp.apply @t378 (tptp.apply @t377 @t359)))) % 2.60/2.80 (define @t380 () (tptp.function @t378)) % 2.60/2.80 (define @t381 () (not @t380)) % 2.60/2.80 (define @t382 () (tptp.relation @t378)) % 2.60/2.80 (define @t383 () (not @t382)) % 2.60/2.80 (define @t384 () (@quantifiers_skolemize @t357 1)) % 2.60/2.80 (define @t385 () (= tptp.empty_set @t384)) % 2.60/2.80 (define @t386 () (tptp.in @t359 @t358)) % 2.60/2.80 (define @t387 () (not @t386)) % 2.60/2.80 (define @t388 () (tptp.relation_of2_as_subset @t377 @t358 @t384)) % 2.60/2.80 (define @t389 () (not @t388)) % 2.60/2.80 (define @t390 () (tptp.quasi_total @t377 @t358 @t384)) % 2.60/2.80 (define @t391 () (not @t390)) % 2.60/2.80 (define @t392 () (tptp.function @t377)) % 2.60/2.80 (define @t393 () (not @t392)) % 2.60/2.80 (define @t394 () (or @t393 @t391 @t389 @t387 @t385 @t383 @t381 @t379)) % 2.60/2.80 (define @t395 () (not @t394)) % 2.60/2.80 (define @t396 () (not @t357)) % 2.60/2.80 (define @t397 () (= @t384 tptp.empty_set)) % 2.60/2.80 (define @t398 () (or @t393 @t391 @t389 @t387 @t397 @t383 @t381 @t379)) % 2.60/2.80 (define @t399 () (not @t398)) % 2.60/2.80 (define @t400 () (@list true)) % 2.60/2.80 (define @t401 () (@list @t394)) % 2.60/2.80 (define @t402 () (tptp.singleton @t359)) % 2.60/2.80 (define @t403 () (tptp.disjoint @t402 @t358)) % 2.60/2.80 (define @t404 () (not @t403)) % 2.60/2.80 (define @t405 () (or @t404 @t387)) % 2.60/2.80 (define @t406 () (@list false false)) % 2.60/2.80 (define @t407 () (or @t113 @t81 @t80)) % 2.60/2.80 (define @t408 () (not @t88)) % 2.60/2.80 (define @t409 () (= @t390 (= @t377 tptp.empty_set))) % 2.60/2.80 (define @t410 () (not @t397)) % 2.60/2.80 (define @t411 () (= @t358 tptp.empty_set)) % 2.60/2.80 (define @t412 () (or @t410 @t411 @t409)) % 2.60/2.80 (define @t413 () (tptp.relation_dom_as_subset @t358 @t384 @t377)) % 2.60/2.80 (define @t414 () (= @t358 @t413)) % 2.60/2.80 (define @t415 () (= @t390 @t414)) % 2.60/2.80 (define @t416 () (not @t411)) % 2.60/2.80 (define @t417 () (and @t397 @t416)) % 2.60/2.80 (define @t418 () (or @t417 @t415)) % 2.60/2.80 (define @t419 () (and @t418 @t412)) % 2.60/2.80 (define @t420 () (or @t389 @t419)) % 2.60/2.80 (define @t421 () (forall @t21 (or @t408 (and (or @t346 @t85) @t407)))) % 2.60/2.80 (define @t422 () (@list @t358 @t384 @t377)) % 2.60/2.80 (define @t423 () (= tptp.empty_set @t358)) % 2.60/2.80 (define @t424 () (not @t385)) % 2.60/2.80 (define @t425 () (and @t385 (not @t423))) % 2.60/2.80 (define @t426 () (or @t425 @t415)) % 2.60/2.80 (define @t427 () (and @t426 (or @t424 @t423 (= @t390 (= tptp.empty_set @t377))))) % 2.60/2.80 (define @t428 () (or @t389 @t427)) % 2.60/2.80 (define @t429 () (@list false)) % 2.60/2.80 (define @t430 () (not @t425)) % 2.60/2.80 (define @t431 () (@list true false)) % 2.60/2.80 (define @t432 () (tptp.relation_of2 @t377 @t358 @t384)) % 2.60/2.80 (define @t433 () (= @t388 @t432)) % 2.60/2.80 (define @t434 () (tptp.relation_dom @t377)) % 2.60/2.80 (define @t435 () (= @t413 @t434)) % 2.60/2.80 (define @t436 () (not @t432)) % 2.60/2.80 (define @t437 () (or @t436 @t435)) % 2.60/2.80 (define @t438 () (@var "BOUND_VARIABLE_12872" $$unsorted)) % 2.60/2.80 (define @t439 () (= (tptp.apply (tptp.relation_composition @t2 @t438) @t1) (tptp.apply @t438 @t317))) % 2.60/2.80 (define @t440 () (not (tptp.function @t438))) % 2.60/2.80 (define @t441 () (not (tptp.relation @t438))) % 2.60/2.80 (define @t442 () (not @t319)) % 2.60/2.80 (define @t443 () (not @t186)) % 2.60/2.80 (define @t444 () (not @t42)) % 2.60/2.80 (define @t445 () (or @t441 @t440 @t439)) % 2.60/2.80 (define @t446 () (or @t444 @t443 @t442 @t445)) % 2.60/2.80 (define @t447 () (forall (@list @t1 @t2 @t438) @t446)) % 2.60/2.80 (define @t448 () (@list @t438)) % 2.60/2.80 (define @t449 () (forall @t448 @t446)) % 2.60/2.80 (define @t450 () (forall @t448 @t445)) % 2.60/2.80 (define @t451 () (or @t444 @t443 @t442 @t450)) % 2.60/2.80 (define @t452 () (not @t137)) % 2.60/2.80 (define @t453 () (not @t18)) % 2.60/2.80 (define @t454 () (or @t453 @t452 @t318)) % 2.60/2.80 (define @t455 () (forall @t63 @t454)) % 2.60/2.80 (define @t456 () (or @t444 @t443 @t442 @t455)) % 2.60/2.80 (define @t457 () (or @t442 @t455)) % 2.60/2.80 (define @t458 () (or @t442 @t454)) % 2.60/2.80 (define @t459 () (or @t453 @t452 @t442 @t318)) % 2.60/2.80 (define @t460 () (tptp.element @t377 (tptp.powerset (tptp.cartesian_product2 @t358 @t384)))) % 2.60/2.80 (define @t461 () (or @t389 @t460)) % 2.60/2.80 (define @t462 () (tptp.relation @t377)) % 2.60/2.80 (define @t463 () (not @t460)) % 2.60/2.80 (define @t464 () (or @t463 @t462)) % 2.60/2.80 (define @t465 () (tptp.in @t359 @t434)) % 2.60/2.80 (define @t466 () (not @t465)) % 2.60/2.80 (define @t467 () (not @t462)) % 2.60/2.80 (define @t468 () (or @t467 @t393 @t466 @t383 @t381 @t379)) % 2.60/2.80 (define @t469 () (tptp.disjoint @t402 @t434)) % 2.60/2.80 (define @t470 () (or @t465 @t469)) % 2.60/2.80 (define @t471 () (not @t469)) % 2.60/2.80 (define @t472 () (not @t435)) % 2.60/2.80 (define @t473 () (not @t414)) % 2.60/2.80 (define @t474 () (and @t414 @t404 @t435)) % 2.60/2.80 (assume @p1 (forall @t6 (=> @t5 @t4))) % 2.60/2.80 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 2.60/2.80 (assume @p3 (forall @t11 (=> @t10 @t9))) % 2.60/2.80 (assume @p4 (forall @t11 (=> @t15 @t14))) % 2.60/2.80 (assume @p5 (forall @t11 (=> @t10 @t16))) % 2.60/2.80 (assume @p6 @t22) % 2.60/2.80 (assume @p7 (forall @t11 (=> @t25 @t24))) % 2.60/2.80 (assume @p8 (forall @t11 (=> @t14 @t15))) % 2.60/2.80 (assume @p9 (forall @t11 (=> @t10 @t26))) % 2.60/2.80 (assume @p10 (forall @t6 (= @t27 (tptp.unordered_pair @t2 @t1)))) % 2.60/2.80 (assume @p11 (forall @t6 (= @t29 @t28))) % 2.60/2.80 (assume @p12 (forall @t6 (= @t30 (tptp.set_intersection2 @t2 @t1)))) % 2.60/2.80 (assume @p13 (forall @t6 (=> @t33 (or @t31 (tptp.ordinal_subset @t2 @t1))))) % 2.60/2.80 (assume @p14 (forall @t6 (=> @t42 (= @t41 (forall @t39 (= @t38 (and @t36 @t35))))))) % 2.60/2.80 (assume @p15 (forall @t6 (= @t45 (and @t44 @t43)))) % 2.60/2.80 (assume @p16 (forall @t11 (=> @t16 (forall @t53 (=> @t18 (= (= @t17 @t52) (forall @t51 (= @t50 (and @t49 @t48))))))))) % 2.60/2.80 (assume @p17 (forall @t11 (=> @t60 (forall @t53 (= @t59 (forall @t58 (= @t57 (exists @t56 (and (tptp.in @t46 @t55) @t54 (= @t34 (tptp.apply @t1 @t46))))))))))) % 2.60/2.80 (assume @p18 (forall @t6 (=> @t42 (forall @t63 (=> @t18 (= (= @t17 @t62) (forall @t51 (= @t50 (and @t61 (tptp.in @t47 @t2)))))))))) % 2.60/2.80 (assume @p19 (forall @t11 (=> @t16 (= @t65 (tptp.is_antisymmetric_in @t1 @t64))))) % 2.60/2.80 (assume @p20 (forall @t11 (=> @t60 (forall @t53 (= @t68 (forall @t58 (= @t57 (and @t67 (tptp.in @t66 @t2))))))))) % 2.60/2.80 (assume @p21 (forall @t11 (=> @t16 (forall @t53 (= @t59 (forall @t58 (= @t57 (exists @t56 (and (tptp.in @t69 @t1) @t54))))))))) % 2.60/2.80 (assume @p22 (forall @t11 (=> @t16 (forall @t53 (= @t68 (forall @t58 (= @t57 (exists @t56 (and @t48 @t54))))))))) % 2.60/2.80 (assume @p23 (forall @t11 (=> @t16 (= @t70 (tptp.is_connected_in @t1 @t64))))) % 2.60/2.80 (assume @p24 (forall @t11 (=> @t16 (= @t71 (tptp.is_transitive_in @t1 @t64))))) % 2.60/2.80 (assume @p25 (forall @t73 (= (= @t34 (tptp.unordered_triple @t1 @t2 @t17)) (forall @t56 (= @t72 (not (and (not (= @t46 @t1)) (not (= @t46 @t2)) (not (= @t46 @t17))))))))) % 2.60/2.80 (assume @p26 (forall @t11 (= @t9 (forall @t77 (=> (and @t76 @t74) @t35))))) % 2.60/2.80 (assume @p27 @t89) % 2.60/2.80 (assume @p28 (forall @t11 (=> @t93 (forall @t92 (= (= @t2 (tptp.pair_first @t1)) (forall @t39 (=> @t91 @t90))))))) % 2.60/2.80 (assume @p29 (forall @t11 (= @t95 (tptp.set_union2 @t1 @t94)))) % 2.60/2.80 (assume @p30 (forall @t11 (= @t16 (forall @t92 (not (and @t3 (forall @t39 (not (= @t2 @t37))))))))) % 2.60/2.80 (assume @p31 (forall @t11 (=> @t16 (forall @t92 (= @t97 (forall @t63 (=> @t96 (tptp.in (tptp.ordered_pair @t17 @t17) @t1)))))))) % 2.60/2.80 (assume @p32 (forall @t21 (= @t98 (tptp.subset @t17 @t19)))) % 2.60/2.80 (assume @p33 (forall @t6 (and (=> @t102 (= @t99 (forall @t63 (= @t96 (forall @t58 (=> @t101 @t100)))))) (=> @t81 (= @t99 @t83))))) % 2.60/2.80 (assume @p34 (forall @t6 (= (= @t2 @t94) (forall @t63 (= @t96 (= @t17 @t1)))))) % 2.60/2.80 (assume @p35 (forall @t11 (=> @t16 (forall @t53 (= (= @t17 (tptp.fiber @t1 @t2)) (forall @t58 (= @t57 (and (not @t103) (tptp.in (tptp.ordered_pair @t34 @t2) @t1))))))))) % 2.60/2.80 (assume @p36 (forall @t6 (=> @t42 (= (= @t2 @t106) (and (= @t105 @t1) (forall @t39 (=> (and @t36 @t101) (= @t38 @t104)))))))) % 2.60/2.80 (assume @p37 (forall @t11 (= @t81 (forall @t92 @t4)))) % 2.60/2.80 (assume @p38 (forall @t6 (= (= @t2 @t107) (forall @t63 (= @t96 (tptp.subset @t17 @t1)))))) % 2.60/2.80 (assume @p39 (forall @t11 (=> @t93 (forall @t92 (= (= @t2 (tptp.pair_second @t1)) (forall @t39 (=> @t91 @t108))))))) % 2.60/2.80 (assume @p40 (forall @t11 (= @t13 (forall @t92 (=> @t3 @t43))))) % 2.60/2.80 (assume @p41 (forall @t11 (=> @t16 (forall @t92 (=> @t42 (= @t45 (forall @t39 (= @t109 @t38)))))))) % 2.60/2.80 (assume @p42 (forall @t6 (and (=> @t112 (= @t111 @t3)) (=> @t10 (= @t111 @t110))))) % 2.60/2.80 (assume @p43 (forall @t21 (= (= @t17 @t27) (forall @t58 (= @t57 (or (= @t34 @t1) @t103)))))) % 2.60/2.80 (assume @p44 (forall @t11 (=> @t16 (= @t114 (forall @t92 (not (and (tptp.subset @t2 @t64) @t113 (forall @t63 (not (and @t96 (tptp.disjoint (tptp.fiber @t1 @t17) @t2))))))))))) % 2.60/2.80 (assume @p45 (forall @t21 (= (= @t17 @t29) (forall @t58 (= @t57 (or @t101 @t49)))))) % 2.60/2.80 (assume @p46 (forall @t21 (= (= @t17 @t19) (forall @t58 (= @t57 (exists @t117 (and @t61 (tptp.in @t115 @t2) (= @t34 @t116)))))))) % 2.60/2.80 (assume @p47 (forall @t11 (= @t12 (forall @t53 (not (and @t3 @t36 (not @t120) @t119 @t118)))))) % 2.60/2.80 (assume @p48 (forall @t11 (=> @t16 (forall @t92 (=> @t42 (= @t44 (forall @t39 (=> @t109 @t38)))))))) % 2.60/2.80 (assume @p49 (forall @t6 (= @t44 @t121))) % 2.60/2.80 (assume @p50 (forall @t11 (=> @t16 (forall @t92 (= @t123 (forall @t63 (not (and @t122 (not @t78) (forall @t58 (not (and @t57 (tptp.disjoint (tptp.fiber @t1 @t34) @t17)))))))))))) % 2.60/2.80 (assume @p51 (forall @t21 (= (= @t17 @t30) (forall @t58 (= @t57 (and @t101 @t49)))))) % 2.60/2.80 (assume @p52 (forall @t11 (=> @t60 (forall @t53 (and (=> @t126 (= @t125 @t76)) (=> (not @t126) (= @t125 @t78))))))) % 2.60/2.80 (assume @p53 (forall @t11 (= @t15 @t14))) % 2.60/2.80 (assume @p54 (forall @t11 (=> @t16 (forall @t92 (= (= @t2 @t55) (forall @t63 (= @t96 (exists @t58 @t109)))))))) % 2.60/2.80 (assume @p55 (forall @t11 (=> @t16 (forall @t92 (= @t128 (forall @t39 (=> (and @t96 @t49 @t109 @t127) @t35))))))) % 2.60/2.80 (assume @p56 (forall @t11 (= @t129 @t1))) % 2.60/2.80 (assume @p57 (forall @t6 (= (= @t2 @t130) (forall @t63 (= @t96 (exists @t58 (and @t100 @t101))))))) % 2.60/2.80 (assume @p58 (forall @t11 (=> @t16 (= @t132 (and @t131 @t71 @t65 @t70 @t114))))) % 2.60/2.80 (assume @p59 (forall @t6 (= @t138 (exists @t63 (and @t18 @t137 @t136 @t135 (= @t133 @t2)))))) % 2.60/2.80 (assume @p60 (forall @t21 (= (= @t17 @t139) (forall @t58 (= @t57 (and @t101 (not @t49))))))) % 2.60/2.80 (assume @p61 (forall @t11 (=> @t60 (forall @t92 (= @t142 (forall @t63 (= @t96 (exists @t58 @t140)))))))) % 2.60/2.80 (assume @p62 (forall @t11 (=> @t16 (forall @t92 (= @t142 (forall @t63 (= @t96 (exists @t58 @t127)))))))) % 2.60/2.80 (assume @p63 (forall @t6 (=> @t144 (= @t143 @t139)))) % 2.60/2.80 (assume @p64 (forall @t6 (= @t145 (tptp.unordered_pair @t27 @t94)))) % 2.60/2.80 (assume @p65 (forall @t11 (=> @t16 (forall @t92 (= (tptp.well_orders @t1 @t2) (and @t97 @t147 @t128 @t146 @t123)))))) % 2.60/2.80 (assume @p66 (forall @t11 (= @t148 (= @t1 @t130)))) % 2.60/2.80 (assume @p67 (forall @t11 (=> @t16 (= @t64 (tptp.set_union2 @t55 @t141))))) % 2.60/2.80 (assume @p68 (forall @t11 (=> @t16 (forall @t92 (= @t146 (forall @t39 (not (and @t96 @t49 (not @t35) (not @t109) (not @t127))))))))) % 2.60/2.80 (assume @p69 (forall @t11 (=> @t16 (forall @t92 (= @t150 (tptp.set_intersection2 @t1 @t149)))))) % 2.60/2.80 (assume @p70 (forall @t11 (=> @t16 (forall @t92 (=> @t42 (= (= @t2 @t151) (forall @t39 (= @t38 @t127)))))))) % 2.60/2.80 (assume @p71 (forall @t11 (=> @t16 (forall @t92 (=> @t42 (forall @t63 (=> @t155 (= @t154 (and (= @t134 @t64) (= @t133 @t105) @t136 (forall @t51 (= @t48 (and (tptp.in @t34 @t64) (tptp.in @t46 @t64) (tptp.in (tptp.ordered_pair @t153 @t152) @t2))))))))))))) % 2.60/2.80 (assume @p72 (forall @t6 (= @t156 (= @t30 tptp.empty_set)))) % 2.60/2.80 (assume @p73 (forall @t11 (=> @t60 (= @t23 (forall @t53 (=> (and @t126 (tptp.in @t17 @t55) (= @t124 (tptp.apply @t1 @t17))) @t90)))))) % 2.60/2.80 (assume @p74 (forall @t11 (=> @t16 (forall @t92 (=> @t42 (forall @t63 (=> @t18 (= (= @t17 @t158) (forall @t51 (= @t50 (exists @t157 (and (tptp.in (tptp.ordered_pair @t34 @t115) @t1) (tptp.in (tptp.ordered_pair @t115 @t46) @t2))))))))))))) % 2.60/2.80 (assume @p75 (forall @t11 (=> @t16 (forall @t92 (= @t147 (forall @t159 (=> (and @t96 @t49 @t54 @t109 @t48) (tptp.in (tptp.ordered_pair @t17 @t46) @t1)))))))) % 2.60/2.80 (assume @p76 (forall @t6 (=> @t162 (forall @t63 (=> (tptp.element @t17 @t161) (= (= @t17 @t160) (forall @t58 (=> (tptp.element @t34 @t107) (= @t57 (tptp.in (tptp.subset_complement @t1 @t34) @t2)))))))))) % 2.60/2.80 (assume @p77 (forall @t6 (= @t8 (and @t44 @t163)))) % 2.60/2.80 (assume @p78 (forall @t11 (=> @t60 (=> @t23 (= @t164 @t151))))) % 2.60/2.80 (assume @p79 (forall @t11 (=> @t16 (= @t131 (tptp.is_reflexive_in @t1 @t64))))) % 2.60/2.80 (assume @p80 true) % 2.60/2.80 (assume @p81 (forall @t11 (tptp.relation @t106))) % 2.60/2.80 (assume @p82 (forall @t11 (=> @t60 (and (tptp.relation @t164) (tptp.function @t164))))) % 2.60/2.80 (assume @p83 (forall @t11 (tptp.element @t129 @t107))) % 2.60/2.80 (assume @p84 (forall @t6 (=> @t16 (tptp.relation @t150)))) % 2.60/2.80 (assume @p85 (forall @t6 (=> @t144 (tptp.element @t143 @t107)))) % 2.60/2.80 (assume @p86 (forall @t11 (=> @t16 @t165))) % 2.60/2.80 (assume @p87 (forall @t21 (=> @t98 (tptp.element @t84 @t107)))) % 2.60/2.80 (assume @p88 (forall @t6 (=> @t167 @t166))) % 2.60/2.80 (assume @p89 (forall @t21 (=> @t98 (tptp.element @t169 @t168)))) % 2.60/2.80 (assume @p90 (forall @t6 (=> @t162 (tptp.element @t170 @t107)))) % 2.60/2.80 (assume @p91 (forall @t11 @t171)) % 2.60/2.80 (assume @p92 (forall @t6 (=> @t162 (tptp.element @t172 @t107)))) % 2.60/2.80 (assume @p93 (forall @t21 (=> @t175 (tptp.element @t173 @t107)))) % 2.60/2.80 (assume @p94 (forall @t6 (=> @t16 @t176))) % 2.60/2.80 (assume @p95 (forall @t6 (=> @t162 (tptp.element @t160 @t161)))) % 2.60/2.80 (assume @p96 (forall @t6 (=> @t42 @t177))) % 2.60/2.80 (assume @p97 @t178) % 2.60/2.80 (assume @p98 (forall @t6 (exists @t63 @t98))) % 2.60/2.80 (assume @p99 (forall @t11 (exists @t92 @t111))) % 2.60/2.80 (assume @p100 (forall @t6 (exists @t63 @t88))) % 2.60/2.80 (assume @p101 (forall @t6 (=> @t180 (and (tptp.empty @t179) (tptp.relation @t179))))) % 2.60/2.80 (assume @p102 (forall @t11 (=> @t10 (and (tptp.empty @t151) @t165)))) % 2.60/2.80 (assume @p103 (and @t183 @t182 @t181)) % 2.60/2.80 (assume @p104 (forall @t6 (=> @t185 (and @t176 (tptp.relation_empty_yielding @t52))))) % 2.60/2.80 (assume @p105 (forall @t6 (=> (and @t16 @t9 @t42 @t186) (and @t166 (tptp.function @t158))))) % 2.60/2.80 (assume @p106 (forall @t11 @t187)) % 2.60/2.80 (assume @p107 (forall @t6 (=> @t167 (tptp.relation @t30)))) % 2.60/2.80 (assume @p108 (forall @t11 (not (tptp.empty @t107)))) % 2.60/2.80 (assume @p109 @t183) % 2.60/2.80 (assume @p110 (forall @t6 (not (tptp.empty @t145)))) % 2.60/2.80 (assume @p111 (forall @t11 (and @t171 (tptp.function @t40)))) % 2.60/2.80 (assume @p112 (and @t182 @t181 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t183 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 2.60/2.80 (assume @p113 (forall @t6 (=> @t167 (tptp.relation @t29)))) % 2.60/2.80 (assume @p114 (forall @t11 (not (tptp.empty @t94)))) % 2.60/2.80 (assume @p115 (forall @t6 (=> @t112 (not (tptp.empty @t29))))) % 2.60/2.80 (assume @p116 (forall @t11 (=> @t24 (and @t165 (tptp.function @t151))))) % 2.60/2.80 (assume @p117 (forall @t11 (=> @t15 (and @t187 (tptp.epsilon_transitive @t95) (tptp.epsilon_connected @t95) (tptp.ordinal @t95))))) % 2.60/2.80 (assume @p118 (forall @t6 (=> @t167 (tptp.relation @t139)))) % 2.60/2.80 (assume @p119 (forall @t6 (not (tptp.empty @t27)))) % 2.60/2.80 (assume @p120 (forall @t6 (=> @t112 (not (tptp.empty @t28))))) % 2.60/2.80 (assume @p121 (forall @t6 (=> @t60 (and @t176 (tptp.function @t52))))) % 2.60/2.80 (assume @p122 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t130) (tptp.epsilon_connected @t130) (tptp.ordinal @t130))))) % 2.60/2.80 (assume @p123 (and @t183 @t182)) % 2.60/2.80 (assume @p124 (forall @t6 (=> (and @t112 @t188) (not (tptp.empty @t19))))) % 2.60/2.80 (assume @p125 (forall @t6 (=> @t189 (and @t177 (tptp.function @t62))))) % 2.60/2.80 (assume @p126 (forall @t11 (=> @t191 (not @t190)))) % 2.60/2.80 (assume @p127 (forall @t11 (=> @t191 (not @t192)))) % 2.60/2.80 (assume @p128 (forall @t11 (=> @t10 (and @t190 (tptp.relation @t55))))) % 2.60/2.80 (assume @p129 (forall @t11 (=> @t10 (and @t192 (tptp.relation @t141))))) % 2.60/2.80 (assume @p130 (forall @t6 (=> @t180 (and (tptp.empty @t158) @t166)))) % 2.60/2.80 (assume @p131 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 2.60/2.80 (assume @p132 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 2.60/2.80 (assume @p133 (forall @t6 (=> @t144 (= (tptp.subset_complement @t1 @t143) @t2)))) % 2.60/2.80 (assume @p134 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t151) @t1)))) % 2.60/2.80 (assume @p135 (forall @t6 (=> @t162 (= (tptp.complements_of_subsets @t1 @t160) @t2)))) % 2.60/2.80 (assume @p136 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 2.60/2.80 (assume @p137 (forall @t11 (=> @t16 (= @t131 (forall @t92 (=> @t193 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 2.60/2.80 (assume @p138 (forall @t11 (not (= @t94 tptp.empty_set)))) % 2.60/2.80 (assume @p139 (forall @t6 (=> @t5 (= (tptp.set_union2 @t94 @t2) @t2)))) % 2.60/2.80 (assume @p140 @t195) % 2.60/2.80 (assume @p141 @t197) % 2.60/2.80 (assume @p142 (forall @t6 (=> @t42 (tptp.subset (tptp.relation_dom @t62) @t198)))) % 2.60/2.80 (assume @p143 (forall @t11 (=> @t16 (= @t71 (forall @t77 (=> (and @t76 @t109) @t74)))))) % 2.60/2.80 (assume @p144 (forall @t6 (= (tptp.subset @t94 @t2) @t5))) % 2.60/2.80 (assume @p145 (forall @t6 (=> @t42 (not (and @t199 (tptp.equipotent @t1 @t105) (forall @t63 (=> @t18 (not (tptp.well_orders @t17 @t1))))))))) % 2.60/2.80 (assume @p146 (forall @t6 (= (= @t139 tptp.empty_set) @t44))) % 2.60/2.80 (assume @p147 (forall @t6 (=> @t144 (forall @t63 (=> @t96 @t36))))) % 2.60/2.80 (assume @p148 (forall @t11 (=> @t16 (= @t65 (forall @t53 (=> (and @t76 @t200) @t90)))))) % 2.60/2.80 (assume @p149 (forall @t21 (=> @t44 (or @t36 (tptp.subset @t1 (tptp.set_difference @t2 @t201)))))) % 2.60/2.80 (assume @p150 (forall @t11 (=> @t16 (= @t70 (forall @t53 (not (and @t193 (tptp.in @t17 @t64) @t119 @t202 (not @t200)))))))) % 2.60/2.80 (assume @p151 (forall @t6 (= (tptp.subset @t1 @t203) (or @t81 (= @t1 @t203))))) % 2.60/2.80 (assume @p152 (forall @t6 (=> @t5 (tptp.subset @t1 @t204)))) % 2.60/2.80 (assume @p153 (forall @t73 (= (tptp.in @t145 (tptp.cartesian_product2 @t17 @t34)) (and @t205 (tptp.in @t2 @t34))))) % 2.60/2.80 (assume @p154 (forall @t6 (=> @t121 @t206))) % 2.60/2.80 (assume @p155 (forall @t21 (=> @t155 (= @t208 (and (tptp.in @t2 @t134) @t3))))) % 2.60/2.80 (assume @p156 (exists @t11 @t60)) % 2.60/2.80 (assume @p157 (forall @t6 (exists @t63 (and @t98 @t18 @t137 @t79)))) % 2.60/2.80 (assume @p158 (exists @t11 @t26)) % 2.60/2.80 (assume @p159 (exists @t11 (and @t16 @t9 @t23 @t10))) % 2.60/2.80 (assume @p160 (exists @t11 (and @t10 @t16))) % 2.60/2.80 (assume @p161 (forall @t11 (=> @t112 (exists @t92 (and @t144 @t188))))) % 2.60/2.80 (assume @p162 (exists @t11 @t10)) % 2.60/2.80 (assume @p163 (exists @t11 @t25)) % 2.60/2.80 (assume @p164 (exists @t11 (and @t16 @t9 @t23 @t10 @t13 @t12 @t15))) % 2.60/2.80 (assume @p165 (forall @t6 (exists @t63 (and @t98 @t18 @t137)))) % 2.60/2.80 (assume @p166 (exists @t11 @t191)) % 2.60/2.80 (assume @p167 (forall @t11 (exists @t92 (and @t144 @t110)))) % 2.60/2.80 (assume @p168 (exists @t11 @t112)) % 2.60/2.80 (assume @p169 (exists @t11 @t24)) % 2.60/2.80 (assume @p170 (exists @t11 (and @t112 @t13 @t12 @t15))) % 2.60/2.80 (assume @p171 (exists @t11 @t185)) % 2.60/2.80 (assume @p172 (exists @t11 (and @t16 @t184 @t9))) % 2.60/2.80 (assume @p173 @t210) % 2.60/2.80 (assume @p174 (forall @t21 (=> @t98 (= @t169 @t133)))) % 2.60/2.80 (assume @p175 (forall @t6 (=> @t162 (= @t170 @t204)))) % 2.60/2.80 (assume @p176 (forall @t6 (=> @t162 (= @t172 (tptp.set_meet @t2))))) % 2.60/2.80 (assume @p177 (forall @t21 (=> @t175 (= @t173 @t211)))) % 2.60/2.80 (assume @p178 (forall @t21 (= @t88 @t98))) % 2.60/2.80 (assume @p179 (forall @t6 (=> @t33 (= @t31 @t44)))) % 2.60/2.80 (assume @p180 (forall @t6 (= @t138 (tptp.are_equipotent @t1 @t2)))) % 2.60/2.80 (assume @p181 (forall @t6 (=> @t33 (tptp.ordinal_subset @t1 @t1)))) % 2.60/2.80 (assume @p182 (forall @t6 (tptp.subset @t1 @t1))) % 2.60/2.80 (assume @p183 (forall @t6 (tptp.equipotent @t1 @t1))) % 2.60/2.80 (assume @p184 (forall @t6 (=> @t228 (=> @t227 (exists @t63 (and @t18 @t137 (forall @t51 (= @t50 (and @t101 @t101 (exists @t216 (and (= @t34 @t213) (tptp.in @t46 @t213) (forall @t215 (=> @t214 (tptp.in (tptp.ordered_pair @t46 @t212) @t2)))))))))))))) % 2.60/2.80 (assume @p185 (forall @t11 (=> @t231 (exists @t92 (and @t42 @t186 (forall @t39 (= @t38 (and @t36 @t36 (= @t34 @t201))))))))) % 2.60/2.80 (assume @p186 (forall @t11 (=> (exists @t92 (and @t32 @t3)) (exists @t92 (and @t32 @t3 (forall @t63 (=> @t232 (=> @t36 (tptp.ordinal_subset @t2 @t17))))))))) % 2.60/2.80 (assume @p187 (forall @t21 (=> @t236 (exists @t58 (and @t235 (forall @t117 (= (tptp.in @t116 @t34) (and @t61 @t234 (tptp.in (tptp.ordered_pair @t152 @t233) @t2))))))))) % 2.60/2.80 (assume @p188 (forall @t6 (=> @t228 (=> @t227 (exists @t63 (forall @t58 (= @t57 (exists @t56 (and @t61 @t61 (exists @t216 (and (= @t46 @t213) @t238 @t237))))))))))) % 2.60/2.80 (assume @p189 (forall @t6 (=> @t228 (forall @t63 (=> (forall @t256 (=> (and @t217 (exists @t255 (and (= @t254 @t46) @t253 (exists @t221 (and (= @t224 @t218) (tptp.in @t219 @t218) (forall @t216 (=> (tptp.in @t213 @t218) (tptp.in (tptp.ordered_pair @t219 @t213) @t2))))))) @t252 (exists @t251 (and (= @t250 @t115) (tptp.in @t212 @t1) (exists @t249 (and (= @t212 @t248) (tptp.in @t247 @t248) (forall (@list @t246) (=> (tptp.in @t246 @t248) (tptp.in (tptp.ordered_pair @t247 @t246) @t2)))))))) @t245)) (exists @t58 (forall @t56 (= @t72 (exists @t157 (and (tptp.in @t115 @t244) @t243 (exists (@list @t242 @t240) (and (= (tptp.ordered_pair @t242 @t240) @t46) (tptp.in @t242 @t1) (exists (@list @t241) (and (= @t242 @t241) (tptp.in @t240 @t241) (forall (@list @t239) (=> (tptp.in @t239 @t241) (tptp.in (tptp.ordered_pair @t240 @t239) @t2))))))))))))))))) % 2.60/2.80 (assume @p190 (forall @t11 (=> @t231 (exists @t92 (forall @t63 (= @t96 (exists @t58 (and @t101 @t101 (= @t17 (tptp.singleton @t34)))))))))) % 2.60/2.80 (assume @p191 (forall @t6 (=> (forall @t159 (=> (and @t35 (exists @t261 (and (= @t260 @t34) @t234 (= @t224 (tptp.singleton @t115)))) @t259 (exists (@list @t219 @t218) (and (= (tptp.ordered_pair @t219 @t218) @t46) @t258 (= @t218 (tptp.singleton @t219))))) @t217)) (exists @t63 (forall @t58 (= @t57 (exists @t56 (and (tptp.in @t46 @t19) @t257 (exists (@list @t213 @t212) (and (= (tptp.ordered_pair @t213 @t212) @t34) (tptp.in @t213 @t1) (= @t212 (tptp.singleton @t213)))))))))))) % 2.60/2.80 (assume @p192 (forall @t21 (=> @t236 (=> (forall @t256 (=> (and @t217 (exists @t255 (and (= @t46 @t254) (tptp.in (tptp.ordered_pair @t263 (tptp.apply @t17 @t219)) @t2))) @t252 (exists (@list @t218 @t213) (and (= @t115 (tptp.ordered_pair @t218 @t213)) (tptp.in (tptp.ordered_pair (tptp.apply @t17 @t218) (tptp.apply @t17 @t213)) @t2)))) @t245)) (exists @t58 (forall @t56 (= @t72 (exists @t157 (and (tptp.in @t115 @t262) @t243 (exists @t251 (and (= @t46 @t250) (tptp.in (tptp.ordered_pair (tptp.apply @t17 @t212) (tptp.apply @t17 @t247)) @t2)))))))))))) % 2.60/2.80 (assume @p193 (forall @t11 (=> (forall @t77 (=> (and @t90 @t232 @t108 @t264) @t35)) (exists @t92 (forall @t63 (= @t96 (exists @t58 (and @t101 (= @t34 @t17) @t232)))))))) % 2.60/2.80 (assume @p194 (forall @t6 (=> @t32 (=> (forall @t159 (=> (and @t35 (exists @t157 (and (tptp.ordinal @t115) @t252 @t234)) @t259 (exists @t225 (and (tptp.ordinal @t224) (= @t46 @t224) @t253))) @t217)) (exists @t63 (forall @t58 (= @t57 (exists @t56 (and (tptp.in @t46 @t265) @t257 (exists @t222 (and (tptp.ordinal @t219) (= @t34 @t219) @t258))))))))))) % 2.60/2.80 (assume @p195 (forall @t6 (=> @t228 (forall @t63 (exists @t58 (forall @t56 (= @t72 (and (tptp.in @t46 @t244) (exists @t261 (and (= @t260 @t46) @t234 (exists @t222 (and (= @t115 @t219) (tptp.in @t224 @t219) (forall @t221 (=> @t220 (tptp.in (tptp.ordered_pair @t224 @t218) @t2))))))))))))))) % 2.60/2.80 (assume @p196 (forall @t6 (exists @t63 (forall @t58 (= @t57 (and (tptp.in @t34 @t19) (exists @t117 (and (= @t116 @t34) @t61 (= @t115 (tptp.singleton @t46)))))))))) % 2.60/2.80 (assume @p197 (forall @t21 (=> @t236 (exists @t58 (forall @t56 (= @t72 (and (tptp.in @t46 @t262) (exists @t261 (and (= @t46 @t260) (tptp.in (tptp.ordered_pair @t233 @t263) @t2)))))))))) % 2.60/2.80 (assume @p198 (forall @t11 (exists @t92 (forall @t63 (= @t96 (and @t36 @t232)))))) % 2.60/2.80 (assume @p199 (forall @t6 (=> @t32 (exists @t63 (forall @t58 (= @t57 (and (tptp.in @t34 @t265) (exists @t56 (and (tptp.ordinal @t46) @t217 @t61))))))))) % 2.60/2.80 (assume @p200 (forall @t6 (=> @t228 (=> (and (forall @t159 (=> (and @t36 @t226 @t223) @t217)) (forall @t63 (not (and @t36 (forall @t58 (not (exists @t216 (and (= @t17 @t213) @t238 @t237)))))))) (exists @t63 (and @t18 @t137 @t135 (forall @t58 (=> @t101 (exists (@list @t247) (and (= @t34 @t247) (tptp.in @t153 @t247) (forall @t249 (=> (tptp.in @t248 @t247) (tptp.in (tptp.ordered_pair @t153 @t248) @t2))))))))))))) % 2.60/2.80 (assume @p201 (forall @t11 (=> (and (forall @t77 (=> (and @t3 @t230 @t229) @t35)) (forall @t92 (not (and @t3 (forall @t63 (not @t230)))))) @t268))) % 2.60/2.80 (assume @p202 (forall @t11 @t268)) % 2.60/2.80 (assume @p203 (forall @t6 (=> @t156 (tptp.disjoint @t2 @t1)))) % 2.60/2.80 (assume @p204 (forall @t6 (=> @t138 (tptp.equipotent @t2 @t1)))) % 2.60/2.80 (assume @p205 (forall @t11 (tptp.in @t1 @t95))) % 2.60/2.80 (assume @p206 (forall @t73 (not (and (= @t27 (tptp.unordered_pair @t17 @t34)) (not @t269) (not (= @t1 @t34)))))) % 2.60/2.80 (assume @p207 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t133)))))) % 2.60/2.80 (assume @p208 (forall @t6 (=> @t42 (tptp.subset @t270 @t1)))) % 2.60/2.80 (assume @p209 (forall @t6 (=> @t42 (tptp.subset @t62 @t2)))) % 2.60/2.80 (assume @p210 (forall @t6 (=> @t42 (tptp.subset @t270 @t271)))) % 2.60/2.80 (assume @p211 (forall @t21 (=> @t44 (and (tptp.subset @t244 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 2.60/2.80 (assume @p212 (forall @t6 (=> @t42 (= @t270 (tptp.set_intersection2 @t271 @t1))))) % 2.60/2.80 (assume @p213 (forall @t73 (=> (and @t44 @t104) (tptp.subset @t244 (tptp.cartesian_product2 @t2 @t34))))) % 2.60/2.80 (assume @p214 (forall @t21 (=> @t88 (and (tptp.subset @t134 @t1) (tptp.subset @t133 @t2))))) % 2.60/2.80 (assume @p215 (forall @t6 (=> @t44 (= @t29 @t2)))) % 2.60/2.80 (assume @p216 (forall @t11 (exists @t92 (and @t5 @t274 (forall @t63 (=> @t96 (tptp.in @t273 @t2))) @t272)))) % 2.60/2.80 (assume @p217 (forall @t21 (=> @t18 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t275))))) % 2.60/2.80 (assume @p218 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_image @t17 @t2)) (exists @t58 (and (tptp.in @t34 @t134) (tptp.in (tptp.ordered_pair @t34 @t1) @t17) @t49)))))) % 2.60/2.80 (assume @p219 (forall @t6 (=> @t42 (tptp.subset @t276 @t271)))) % 2.60/2.80 (assume @p220 (forall @t6 (=> @t189 (tptp.subset @t278 @t1)))) % 2.60/2.80 (assume @p221 (forall @t6 (=> @t42 (= @t276 (tptp.relation_image @t2 @t279))))) % 2.60/2.80 (assume @p222 (forall @t6 (=> @t42 (=> (tptp.subset @t1 @t198) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t276)))))) % 2.60/2.80 (assume @p223 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t55) @t141)))) % 2.60/2.80 (assume @p224 (forall @t6 (=> @t189 (=> @t280 (= @t278 @t1))))) % 2.60/2.80 (assume @p225 (forall @t73 (=> @t283 (=> (tptp.subset @t282 @t2) @t281)))) % 2.60/2.80 (assume @p226 (forall @t11 (=> @t16 (forall @t92 (=> @t42 (= @t284 (tptp.relation_image @t2 @t141))))))) % 2.60/2.80 (assume @p227 (forall @t21 (=> @t18 (= (tptp.in @t1 @t285) (exists @t58 (and (tptp.in @t34 @t133) (tptp.in (tptp.ordered_pair @t1 @t34) @t17) @t49)))))) % 2.60/2.80 (assume @p228 (forall @t6 (=> @t42 (tptp.subset @t277 @t198)))) % 2.60/2.80 (assume @p229 (forall @t73 (=> @t283 (=> @t44 @t281)))) % 2.60/2.80 (assume @p230 (forall @t21 (=> @t18 (= (tptp.in @t1 @t286) (and @t205 (tptp.in @t1 @t149)))))) % 2.60/2.80 (assume @p231 (forall @t6 (=> @t42 (not (and @t102 @t280 (= @t277 tptp.empty_set)))))) % 2.60/2.80 (assume @p232 (forall @t21 (=> @t18 (=> @t44 (tptp.subset (tptp.relation_inverse_image @t17 @t1) @t285))))) % 2.60/2.80 (assume @p233 (forall @t6 (=> @t42 (= @t287 (tptp.relation_dom_restriction @t62 @t1))))) % 2.60/2.80 (assume @p234 (forall @t6 (tptp.subset @t30 @t1))) % 2.60/2.80 (assume @p235 (forall @t6 (=> @t42 (= @t287 (tptp.relation_rng_restriction @t1 @t288))))) % 2.60/2.80 (assume @p236 (forall @t21 (=> @t18 (=> (tptp.in @t1 (tptp.relation_field @t286)) (and @t290 @t5))))) % 2.60/2.80 (assume @p237 (forall @t21 (=> (and @t44 @t292) (tptp.subset @t1 @t291)))) % 2.60/2.80 (assume @p238 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 2.60/2.80 (assume @p239 (forall @t6 (=> @t5 @t293))) % 2.60/2.80 (assume @p240 (forall @t21 (=> (and @t44 @t294) @t292))) % 2.60/2.80 (assume @p241 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 2.60/2.80 (assume @p242 (forall @t21 (=> @t18 (=> @t296 (and @t295 (tptp.in @t2 @t133)))))) % 2.60/2.80 (assume @p243 (forall @t6 (=> @t42 (and (tptp.subset @t297 @t105) (tptp.subset @t297 @t1))))) % 2.60/2.80 (assume @p244 (forall @t6 (=> @t189 (forall @t63 (=> @t155 (= @t300 (and @t295 (tptp.in @t298 @t198)))))))) % 2.60/2.80 (assume @p245 @t315) % 2.60/2.80 (assume @p246 (forall @t11 (=> @t13 (forall @t92 (=> @t32 (=> @t8 @t5)))))) % 2.60/2.80 (assume @p247 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t55 @t141))))) % 2.60/2.80 (assume @p248 (forall @t21 (=> @t18 (tptp.subset (tptp.fiber (tptp.relation_restriction @t17 @t1) @t2) (tptp.fiber @t17 @t2))))) % 2.60/2.80 (assume @p249 (forall @t6 (=> @t189 (forall @t63 (=> @t155 (=> @t300 (= (tptp.apply @t299 @t1) (tptp.apply @t2 @t298)))))))) % 2.60/2.80 (assume @p250 (forall @t21 (=> (tptp.relation_of2_as_subset @t17 @t2 @t1) (= (forall @t58 (not (and @t49 (forall @t56 (not @t50))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t17) @t2))))) % 2.60/2.80 (assume @p251 (forall @t6 (=> @t42 (=> @t316 (tptp.reflexive @t287))))) % 2.60/2.80 (assume @p252 @t323) % 2.60/2.80 (assume @p253 (forall @t6 (=> @t32 (=> @t5 @t15)))) % 2.60/2.80 (assume @p254 (forall @t21 (=> @t88 (= (forall @t58 (not (and @t49 (forall @t56 (not (tptp.in @t69 @t17)))))) (= @t169 @t2))))) % 2.60/2.80 (assume @p255 (forall @t6 (=> @t42 (=> @t324 (tptp.connected @t287))))) % 2.60/2.80 (assume @p256 (forall @t11 (=> @t15 (forall @t92 (=> @t32 (not (and @t196 @t163 @t4))))))) % 2.60/2.80 (assume @p257 (forall @t6 (=> @t42 (=> @t325 (tptp.transitive @t287))))) % 2.60/2.80 (assume @p258 (forall @t11 (=> @t16 (forall @t92 (=> @t42 (=> @t44 (and (tptp.subset @t55 @t198) (tptp.subset @t141 @t271)))))))) % 2.60/2.80 (assume @p259 (forall @t6 (=> @t42 (=> @t326 (tptp.antisymmetric @t287))))) % 2.60/2.80 (assume @p260 (forall @t6 (=> @t42 (=> @t329 (and @t328 @t327))))) % 2.60/2.80 (assume @p261 (forall @t11 (exists @t92 (and @t42 @t329)))) % 2.60/2.80 (assume @p262 (forall @t21 (=> @t44 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t291)))) % 2.60/2.80 (assume @p263 (forall @t11 (=> @t112 (not (and (forall @t92 (not (and @t3 @t83))) (forall @t92 (=> @t189 (not (and @t267 (forall @t63 (=> @t36 (tptp.in @t266 @t17)))))))))))) % 2.60/2.80 (assume @p264 (forall @t6 (=> @t44 (= @t30 @t1)))) % 2.60/2.80 (assume @p265 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 2.60/2.80 (assume @p266 (forall @t6 (=> @t293 (or @t110 @t5)))) % 2.60/2.80 (assume @p267 (forall @t6 (=> (forall @t63 (= @t36 @t96)) @t45))) % 2.60/2.80 (assume @p268 (forall @t11 (tptp.reflexive @t106))) % 2.60/2.80 (assume @p269 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 2.60/2.80 (assume @p270 (forall @t21 (=> @t18 (=> @t296 (and @t290 (tptp.in @t2 @t289)))))) % 2.60/2.80 (assume @p271 (forall @t11 (=> (forall @t92 (=> @t3 (and @t32 @t43))) @t15))) % 2.60/2.80 (assume @p272 (forall @t6 (=> @t42 (=> @t330 (tptp.well_founded_relation @t287))))) % 2.60/2.80 (assume @p273 (forall @t6 (=> @t32 (not (and @t44 @t102 (forall @t63 (=> @t232 (not (and @t36 (forall @t58 (=> @t264 (=> @t101 (tptp.ordinal_subset @t17 @t34))))))))))))) % 2.60/2.80 (assume @p274 (forall @t6 (=> @t42 (=> @t199 @t327)))) % 2.60/2.80 (assume @p275 (forall @t11 (=> @t15 (forall @t92 (=> @t32 (= @t5 (tptp.ordinal_subset @t95 @t2))))))) % 2.60/2.80 (assume @p276 (forall @t21 (=> @t44 (tptp.subset (tptp.set_difference @t1 @t17) @t211)))) % 2.60/2.80 (assume @p277 (forall @t73 (=> (= @t145 @t37) (and @t269 @t108)))) % 2.60/2.80 (assume @p278 (forall @t6 (=> @t189 (= @t41 (and @t267 (forall @t63 (=> @t36 (= @t266 @t17)))))))) % 2.60/2.80 (assume @p279 (forall @t6 (=> @t3 (= (tptp.apply @t40 @t2) @t2)))) % 2.60/2.80 (assume @p280 (forall @t6 (tptp.subset @t139 @t1))) % 2.60/2.80 (assume @p281 (forall @t11 (=> @t16 (and (= @t141 (tptp.relation_dom @t151)) (= @t55 (tptp.relation_rng @t151)))))) % 2.60/2.80 (assume @p282 (forall @t21 (= (tptp.subset @t27 @t17) (and @t205 @t120)))) % 2.60/2.80 (assume @p283 (forall @t6 (=> @t42 (=> (and @t199 (tptp.subset @t1 @t105)) @t328)))) % 2.60/2.80 (assume @p284 (forall @t6 (= @t331 @t29))) % 2.60/2.80 (assume @p285 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 2.60/2.80 (assume @p286 (forall @t21 (not (and @t5 @t120 @t36)))) % 2.60/2.80 (assume @p287 (forall @t6 (= @t206 @t44))) % 2.60/2.80 (assume @p288 (forall @t11 (tptp.transitive @t106))) % 2.60/2.80 (assume @p289 (forall @t6 (and (not (and @t333 (forall @t63 (not @t332)))) (not (and (exists @t63 @t332) @t156))))) % 2.60/2.80 (assume @p290 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t81))) % 2.60/2.80 (assume @p291 (forall @t6 (= (tptp.set_difference @t29 @t2) @t139))) % 2.60/2.80 (assume @p292 (forall @t11 (=> @t15 (= @t148 (forall @t92 (=> @t32 (=> @t3 (tptp.in @t265 @t1)))))))) % 2.60/2.80 (assume @p293 (forall @t11 (=> @t15 (and (not (and (not @t148) (forall @t92 (=> @t32 (not @t334))))) (not (and (exists @t92 (and @t32 @t334)) @t148)))))) % 2.60/2.80 (assume @p294 (forall @t6 (=> @t144 (forall @t63 (=> @t174 (= @t336 (tptp.subset @t2 @t335))))))) % 2.60/2.80 (assume @p295 (forall @t11 (=> @t16 (forall @t92 (=> @t42 (tptp.subset @t337 @t55)))))) % 2.60/2.80 (assume @p296 (forall @t11 (=> @t16 (forall @t92 (=> @t42 (tptp.subset @t284 @t271)))))) % 2.60/2.80 (assume @p297 (forall @t6 (=> @t44 (= @t2 @t331)))) % 2.60/2.80 (assume @p298 (forall @t11 (=> @t16 (forall @t92 (=> @t42 (=> (tptp.subset @t141 @t198) (= @t337 @t55))))))) % 2.60/2.80 (assume @p299 (forall @t6 (=> @t162 (not (and @t113 (= @t160 tptp.empty_set)))))) % 2.60/2.80 (assume @p300 (forall @t11 (=> @t16 (forall @t92 (=> @t42 (=> (tptp.subset @t55 @t271) (= (tptp.relation_rng @t179) @t141))))))) % 2.60/2.80 (assume @p301 (forall @t6 (=> @t162 (=> @t113 (= (tptp.subset_difference @t1 @t129 @t170) (tptp.meet_of_subsets @t1 @t160)))))) % 2.60/2.80 (assume @p302 (forall @t6 (=> @t162 (=> @t113 (= (tptp.union_of_subsets @t1 @t160) (tptp.subset_difference @t1 @t129 @t172)))))) % 2.60/2.80 (assume @p303 (forall @t6 (= (tptp.set_difference @t1 @t139) @t30))) % 2.60/2.80 (assume @p304 (forall @t11 (=> @t16 (forall @t92 (=> @t42 (forall @t63 (=> @t155 (=> @t154 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t17)))))))))) % 2.60/2.80 (assume @p305 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 2.60/2.80 (assume @p306 (forall @t21 (=> (and @t5 @t338) (tptp.element @t1 @t17)))) % 2.60/2.80 (assume @p307 (forall @t11 (=> @t15 (tptp.connected @t106)))) % 2.60/2.80 (assume @p308 (forall @t6 (and (not (and @t333 (forall @t63 (not @t339)))) (not (and (exists @t63 @t339) @t156))))) % 2.60/2.80 (assume @p309 (forall @t11 (=> @t102 (forall @t92 (=> @t144 (forall @t63 (=> (tptp.element @t17 @t1) (=> @t118 (tptp.in @t17 @t143))))))))) % 2.60/2.80 (assume @p310 (forall @t11 (=> @t16 (forall @t92 (=> @t42 (forall @t63 (=> @t155 (=> @t154 (and (=> @t131 @t316) (=> @t71 @t325) (=> @t70 @t324) (=> @t65 @t326) (=> @t114 @t330)))))))))) % 2.60/2.80 (assume @p311 (forall @t11 (=> @t60 (=> @t23 (forall @t92 (=> @t189 (= (= @t2 @t164) (and (= @t198 @t141) (forall @t39 (and (=> @t340 @t140) (=> @t140 @t340))))))))))) % 2.60/2.80 (assume @p312 (forall @t21 (=> @t174 (not (and (tptp.in @t2 @t335) @t120))))) % 2.60/2.80 (assume @p313 (forall @t11 (=> @t16 (forall @t92 (=> @t42 (forall @t63 (=> @t155 (=> (and @t132 @t154) @t199)))))))) % 2.60/2.80 (assume @p314 (forall @t11 (=> @t60 (=> @t23 (and (= @t141 (tptp.relation_dom @t164)) (= @t55 (tptp.relation_rng @t164))))))) % 2.60/2.80 (assume @p315 (forall @t11 (=> @t16 (=> (forall @t53 @t202) @t81)))) % 2.60/2.80 (assume @p316 (forall @t6 (=> @t189 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t271)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t341 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t341 @t2) @t1))))))) % 2.60/2.80 (assume @p317 (forall @t21 (not (and @t5 @t338 (tptp.empty @t17))))) % 2.60/2.80 (assume @p318 (forall @t11 (=> @t16 (= @t114 (tptp.is_well_founded_in @t1 @t64))))) % 2.60/2.80 (assume @p319 (forall @t11 (tptp.antisymmetric @t106))) % 2.60/2.80 (assume @p320 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 2.60/2.80 (assume @p321 (forall @t6 (not (and @t44 @t7)))) % 2.60/2.80 (assume @p322 (forall @t11 (=> @t60 (=> @t23 (tptp.one_to_one @t164))))) % 2.60/2.80 (assume @p323 (forall @t21 (=> (and @t44 @t336) (tptp.disjoint @t1 @t17)))) % 2.60/2.80 (assume @p324 (forall @t11 (=> @t16 (=> (or @t343 @t342) @t81)))) % 2.60/2.80 (assume @p325 (forall @t11 (=> @t16 (= @t343 @t342)))) % 2.60/2.80 (assume @p326 (forall @t6 (= (= (tptp.set_difference @t1 @t203) @t1) @t4))) % 2.60/2.80 (assume @p327 (forall @t6 (=> @t189 (forall @t63 (=> @t155 (= (= @t2 @t207) (and (= @t198 (tptp.set_intersection2 @t134 @t1)) (forall @t58 (=> (tptp.in @t34 @t198) (= (tptp.apply @t2 @t34) @t153)))))))))) % 2.60/2.80 (assume @p328 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t94))) % 2.60/2.80 (assume @p329 (forall @t11 (=> @t10 @t81))) % 2.60/2.80 (assume @p330 (forall @t73 (=> @t312 (=> @t36 (or @t83 (tptp.in @t301 @t282)))))) % 2.60/2.80 (assume @p331 (forall @t11 (=> @t15 (tptp.well_founded_relation @t106)))) % 2.60/2.80 (assume @p332 (forall @t6 (=> (tptp.subset @t94 @t203) @t45))) % 2.60/2.80 (assume @p333 (forall @t21 (=> @t155 (=> @t208 @t344)))) % 2.60/2.80 (assume @p334 (forall @t11 (and (= (tptp.relation_dom @t40) @t1) (= (tptp.relation_rng @t40) @t1)))) % 2.60/2.80 (assume @p335 (forall @t21 (=> @t155 (=> @t3 @t344)))) % 2.60/2.80 (assume @p336 (forall @t73 (=> @t235 (= (tptp.in @t145 (tptp.relation_composition (tptp.identity_relation @t17) @t34)) (and @t205 (tptp.in @t145 @t34)))))) % 2.60/2.80 (assume @p337 (forall @t6 (not (and @t5 @t110)))) % 2.60/2.80 (assume @p338 (forall @t6 (and (= (tptp.pair_first @t145) @t1) (= (tptp.pair_second @t145) @t2)))) % 2.60/2.80 (assume @p339 (forall @t6 (not (and @t5 (forall @t63 (not (and @t96 (forall @t58 (not (and @t49 @t57)))))))))) % 2.60/2.80 (assume @p340 (forall @t11 (=> @t15 (tptp.well_ordering @t106)))) % 2.60/2.80 (assume @p341 (forall @t6 (tptp.subset @t1 @t29))) % 2.60/2.80 (assume @p342 (forall @t6 (= @t156 (= @t139 @t1)))) % 2.60/2.80 (assume @p343 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_dom @t275)) (and @t5 @t295))))) % 2.60/2.80 (assume @p344 (forall @t6 (=> @t42 (tptp.subset @t288 @t2)))) % 2.60/2.80 (assume @p345 (forall @t6 (not (and @t10 @t163 @t110)))) % 2.60/2.80 (assume @p346 (forall @t21 (=> @t155 (= @t296 (and @t295 (= @t2 @t298)))))) % 2.60/2.80 (assume @p347 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t64) @t132)))) % 2.60/2.80 (assume @p348 (forall @t21 (=> (and @t44 @t122) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 2.60/2.80 (assume @p349 (forall @t21 (=> @t345 @t45))) % 2.60/2.80 (assume @p350 (forall @t6 (=> @t42 (= (tptp.relation_dom @t288) @t279)))) % 2.60/2.80 (assume @p351 (forall @t6 (=> @t42 (= @t288 (tptp.relation_composition @t40 @t2))))) % 2.60/2.80 (assume @p352 (forall @t6 (=> @t42 (tptp.subset (tptp.relation_rng @t288) @t271)))) % 2.60/2.80 (assume @p353 (forall @t11 (= (tptp.union @t107) @t1))) % 2.60/2.80 (assume @p354 (forall @t73 (=> @t312 (=> @t294 (or @t346 (and @t311 (tptp.quasi_total @t34 @t1 @t17) (tptp.relation_of2_as_subset @t34 @t1 @t17))))))) % 2.60/2.80 (assume @p355 (forall @t11 (exists @t92 (and @t5 @t274 (forall @t63 (not (and @t96 (forall @t58 (not (and @t49 (forall @t56 (=> (tptp.subset @t46 @t17) @t72)))))))) @t272)))) % 2.60/2.80 (assume @p356 (forall @t21 (=> @t345 @t90))) % 2.60/2.80 (step @p357 :rule bool-and-de-morgan :args (@t194 @t5 true)) % 2.60/2.80 (step @p358 :rule cong :premises (@p357) :args (@t195)) % 2.60/2.80 (step @p359 :rule eq_resolve :premises (@p140 @p358)) % 2.60/2.80 (step @p360 :rule instantiate :premises (@p359) :args ((@list @t359 @t358))) % 2.60/2.80 (step @p361 :rule aci_norm :args ((= @t361 @t355))) % 2.60/2.80 (step @p362 :rule cong :premises (@p361) :args (@t362)) % 2.60/2.80 (step @p363 :rule quant-merge-prenex :args ((= (forall @t73 @t364) @t362))) % 2.60/2.80 (step @p364 :rule alpha_equiv :args (@t365 (@list @t347) (@list @t46))) % 2.60/2.80 (step @p365 :rule refl :args (@t83)) % 2.60/2.80 (step @p366 :rule refl :args (@t351)) % 2.60/2.80 (step @p367 :rule refl :args (@t352)) % 2.60/2.80 (step @p368 :rule refl :args (@t353)) % 2.60/2.80 (step @p369 :rule refl :args (@t354)) % 2.60/2.80 (step @p370 :rule nary_cong :premises (@p369 @p368 @p367 @p366 @p365 @p364) :args (@t366)) % 2.60/2.80 (step @p371 :rule quant-miniscope-or :args ((= @t364 @t366))) % 2.60/2.80 (step @p372 :rule trans :premises (@p371 @p370)) % 2.60/2.80 (step @p373 :rule symm :premises (@p372)) % 2.60/2.80 (step @p374 :rule cong :premises (@p373) :args ((forall @t73 @t371))) % 2.60/2.80 (step @p375 :rule trans :premises (@p374 @p363)) % 2.60/2.80 (step @p376 :rule trans :premises (@p375 @p362)) % 2.60/2.80 (step @p377 :rule aci_norm :args ((= (or @t373 @t372) @t371))) % 2.60/2.80 (step @p378 :rule refl :args (@t372)) % 2.60/2.80 (step @p379 :rule aci_norm :args ((= (or @t354 (or @t353 @t352)) @t373))) % 2.60/2.80 (step @p380 :rule bool-and-de-morgan :args (@t310 @t309 true)) % 2.60/2.80 (step @p381 :rule nary_cong :premises (@p369 @p380) :args ((or @t354 (not (and @t310 @t309))))) % 2.60/2.80 (step @p382 :rule bool-and-de-morgan :args (@t311 @t310 (and @t309))) % 2.60/2.80 (step @p383 :rule trans :premises (@p382 @p381)) % 2.60/2.80 (step @p384 :rule trans :premises (@p383 @p379)) % 2.60/2.80 (step @p385 :rule nary_cong :premises (@p384 @p378) :args ((or (not @t312) @t372))) % 2.60/2.80 (step @p386 :rule trans :premises (@p385 @p377)) % 2.60/2.80 (step @p387 :rule bool-impl-elim :args (@t312 @t372)) % 2.60/2.80 (step @p388 :rule trans :premises (@p387 @p386)) % 2.60/2.80 (step @p389 :rule cong :premises (@p388) :args ((forall @t73 (=> @t312 @t372)))) % 2.60/2.80 (step @p390 :rule trans :premises (@p389 @p376)) % 2.60/2.80 (step @p391 :rule quant-miniscope-or :args ((= (forall @t56 @t374) @t372))) % 2.60/2.80 (step @p392 :rule aci_norm :args ((= @t375 @t374))) % 2.60/2.80 (step @p393 :rule cong :premises (@p392) :args ((forall @t56 @t375))) % 2.60/2.80 (step @p394 :rule trans :premises (@p393 @p391)) % 2.60/2.80 (step @p395 :rule aci_norm :args ((= (or (or @t368 @t367) @t376) @t375))) % 2.60/2.80 (step @p396 :rule aci_norm :args ((= (or @t351 @t303) @t376))) % 2.60/2.80 (step @p397 :rule bool-impl-elim :args (@t36 @t303)) % 2.60/2.80 (step @p398 :rule trans :premises (@p397 @p396)) % 2.60/2.80 (step @p399 :rule bool-and-de-morgan :args (@t306 @t305 true)) % 2.60/2.80 (step @p400 :rule nary_cong :premises (@p399 @p398) :args ((or (not @t307) @t304))) % 2.60/2.80 (step @p401 :rule trans :premises (@p400 @p395)) % 2.60/2.80 (step @p402 :rule bool-impl-elim :args (@t307 @t304)) % 2.60/2.80 (step @p403 :rule trans :premises (@p402 @p401)) % 2.60/2.80 (step @p404 :rule cong :premises (@p403) :args (@t308)) % 2.60/2.80 (step @p405 :rule trans :premises (@p404 @p394)) % 2.60/2.80 (step @p406 :rule refl :args (@t312)) % 2.60/2.80 (step @p407 :rule cong :premises (@p406 @p405) :args (@t313)) % 2.60/2.80 (step @p408 :rule cong :premises (@p407) :args (@t314)) % 2.60/2.80 (step @p409 :rule trans :premises (@p408 @p390)) % 2.60/2.80 (step @p410 :rule cong :premises (@p409) :args (@t315)) % 2.60/2.80 (step @p411 :rule eq_resolve :premises (@p245 @p410)) % 2.60/2.80 (step @p412 :rule refl :args (@t395)) % 2.60/2.80 (step @p413 :rule bool-double-not-elim :args (@t357)) % 2.60/2.80 (step @p414 :rule nary_cong :premises (@p413 @p412) :args ((or (not @t396) @t395))) % 2.60/2.80 (step @p415 :rule refl :args (@t379)) % 2.60/2.80 (step @p416 :rule refl :args (@t381)) % 2.60/2.80 (step @p417 :rule refl :args (@t383)) % 2.60/2.80 (step @p418 :rule eq-symm :args (@t384 tptp.empty_set)) % 2.60/2.80 (step @p419 :rule refl :args (@t387)) % 2.60/2.80 (step @p420 :rule refl :args (@t389)) % 2.60/2.80 (step @p421 :rule refl :args (@t391)) % 2.60/2.80 (step @p422 :rule refl :args (@t393)) % 2.60/2.80 (step @p423 :rule nary_cong :premises (@p422 @p421 @p420 @p419 @p418 @p417 @p416 @p415) :args (@t398)) % 2.60/2.80 (step @p424 :rule cong :premises (@p423) :args (@t399)) % 2.60/2.80 (step @p425 :rule refl :args (@t396)) % 2.60/2.80 (step @p426 :rule cong :premises (@p425 @p424) :args ((=> @t396 @t399))) % 2.60/2.80 (assume-push @p637 @t396) % 2.60/2.80 (step @p428 :rule skolemize :premises (@p411)) % 2.60/2.80 (step-pop @p638 :rule scope :premises (@p428)) % 2.60/2.80 (step @p429 :rule process_scope :premises (@p638) :args (@t399)) % 2.60/2.80 (step @p431 :rule eq_resolve :premises (@p429 @p426)) % 2.60/2.80 (step @p432 :rule implies_elim :premises (@p431)) % 2.60/2.80 (step @p433 :rule eq_resolve :premises (@p432 @p414)) % 2.60/2.80 (step @p434 :rule chain_m_resolution :premises (@p433 @p411) :args (@t395 @t400 (@list @t357))) % 2.60/2.80 (step @p435 :rule 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symm :premises (@p509)) % 2.60/2.82 (step @p621 :rule symm :premises (@p520)) % 2.60/2.82 (step @p622 :rule trans :premises (@p621 @p620)) % 2.60/2.82 (step @p623 :rule refl :args (@t402)) % 2.60/2.82 (step @p624 :rule cong :premises (@p623 @p622) :args (@t469)) % 2.60/2.82 (step @p625 :rule trans :premises (@p624 @p619)) % 2.60/2.82 (step @p626 :rule false_elim :premises (@p625)) % 2.60/2.82 (step-pop @p644 :rule scope :premises (@p626)) % 2.60/2.82 (step-pop @p645 :rule scope :premises (@p644)) % 2.60/2.82 (step-pop @p646 :rule scope :premises (@p645)) % 2.60/2.82 (step @p627 :rule process_scope :premises (@p646) :args (@t471)) % 2.60/2.82 (step @p631 :rule implies_elim :premises (@p627)) % 2.60/2.82 (step @p632 :rule cnf_and_neg :args (@t474)) % 2.60/2.82 (step @p633 :rule resolution :premises (@p632 @p631) :args (true @t474)) % 2.60/2.82 (step @p634 :rule eq_resolve :premises (@p633 @p615)) % 2.60/2.82 (step @p635 :rule reordering :premises (@p634) :args ((or @t403 @t473 @t471 @t472))) % 2.60/2.82 (step @p636 false :rule chain_m_resolution :premises (@p635 @p610 @p520 @p509 @p444) :args (false (@list false false false true) (@list @t469 @t435 @t414 @t403))) % 2.60/2.82 ) % 2.60/2.82 % SZS output end Proof % 2.60/2.82 % cvc5 exiting %------------------------------------------------------------------------------