%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU275+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 : n008.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 08:51:13 AM UTC 2026 % Result : Theorem 0.45s 0.89s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SEU275+2 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n008.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:50:18 EDT 2026 % 0.18/0.36 % CPUTime : % 0.40/0.59 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.89 % SZS status Theorem % 0.45/0.89 % SZS output start Proof % 0.45/0.89 ( % 0.45/0.89 (declare-sort $$unsorted 0) % 0.45/0.89 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.empty_set $$unsorted) % 0.45/0.89 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.function (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.45/0.89 (define @t1 () (@var "A" $$unsorted)) % 0.45/0.89 (define @t2 () (@var "B" $$unsorted)) % 0.45/0.89 (define @t3 () (tptp.in @t2 @t1)) % 0.45/0.89 (define @t4 () (not @t3)) % 0.45/0.89 (define @t5 () (tptp.in @t1 @t2)) % 0.45/0.89 (define @t6 () (@list @t1 @t2)) % 0.45/0.89 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.45/0.89 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.45/0.89 (define @t9 () (tptp.function @t1)) % 0.45/0.89 (define @t10 () (tptp.empty @t1)) % 0.45/0.89 (define @t11 () (@list @t1)) % 0.45/0.89 (define @t12 () (tptp.epsilon_connected @t1)) % 0.45/0.89 (define @t13 () (tptp.epsilon_transitive @t1)) % 0.45/0.89 (define @t14 () (and @t13 @t12)) % 0.45/0.89 (define @t15 () (tptp.ordinal @t1)) % 0.45/0.89 (define @t16 () (tptp.relation @t1)) % 0.45/0.89 (define @t17 () (@var "C" $$unsorted)) % 0.45/0.89 (define @t18 () (tptp.relation @t17)) % 0.45/0.89 (define @t19 () (tptp.cartesian_product2 @t1 @t2)) % 0.45/0.89 (define @t20 () (tptp.element @t17 (tptp.powerset @t19))) % 0.45/0.89 (define @t21 () (@list @t1 @t2 @t17)) % 0.45/0.89 (define @t22 () (tptp.one_to_one @t1)) % 0.45/0.89 (define @t23 () (and @t16 @t9 @t22)) % 0.45/0.89 (define @t24 () (and @t16 @t10 @t9)) % 0.45/0.89 (define @t25 () (and @t13 @t12 @t15)) % 0.45/0.89 (define @t26 () (tptp.unordered_pair @t1 @t2)) % 0.45/0.89 (define @t27 () (tptp.set_union2 @t2 @t1)) % 0.45/0.89 (define @t28 () (tptp.set_union2 @t1 @t2)) % 0.45/0.89 (define @t29 () (tptp.set_intersection2 @t1 @t2)) % 0.45/0.89 (define @t30 () (tptp.ordinal_subset @t1 @t2)) % 0.45/0.89 (define @t31 () (tptp.ordinal @t2)) % 0.45/0.89 (define @t32 () (and @t15 @t31)) % 0.45/0.89 (define @t33 () (@var "D" $$unsorted)) % 0.45/0.89 (define @t34 () (= @t17 @t33)) % 0.45/0.89 (define @t35 () (tptp.in @t17 @t1)) % 0.45/0.89 (define @t36 () (tptp.ordered_pair @t17 @t33)) % 0.45/0.89 (define @t37 () (tptp.in @t36 @t2)) % 0.45/0.89 (define @t38 () (@list @t17 @t33)) % 0.45/0.89 (define @t39 () (tptp.identity_relation @t1)) % 0.45/0.89 (define @t40 () (= @t2 @t39)) % 0.45/0.89 (define @t41 () (tptp.relation @t2)) % 0.45/0.89 (define @t42 () (tptp.subset @t2 @t1)) % 0.45/0.89 (define @t43 () (tptp.subset @t1 @t2)) % 0.45/0.89 (define @t44 () (= @t1 @t2)) % 0.45/0.89 (define @t45 () (@var "E" $$unsorted)) % 0.45/0.89 (define @t46 () (tptp.ordered_pair @t33 @t45)) % 0.45/0.89 (define @t47 () (tptp.in @t46 @t1)) % 0.45/0.89 (define @t48 () (tptp.in @t33 @t2)) % 0.45/0.89 (define @t49 () (tptp.in @t46 @t17)) % 0.45/0.89 (define @t50 () (@list @t33 @t45)) % 0.45/0.89 (define @t51 () (tptp.relation_dom_restriction @t1 @t2)) % 0.45/0.89 (define @t52 () (@list @t2 @t17)) % 0.45/0.89 (define @t53 () (tptp.in @t45 @t2)) % 0.45/0.89 (define @t54 () (tptp.relation_dom @t1)) % 0.45/0.89 (define @t55 () (@list @t45)) % 0.45/0.89 (define @t56 () (tptp.in @t33 @t17)) % 0.45/0.89 (define @t57 () (@list @t33)) % 0.45/0.89 (define @t58 () (= @t17 (tptp.relation_image @t1 @t2))) % 0.45/0.89 (define @t59 () (and @t16 @t9)) % 0.45/0.89 (define @t60 () (tptp.in @t45 @t1)) % 0.45/0.89 (define @t61 () (tptp.relation_rng_restriction @t1 @t2)) % 0.45/0.89 (define @t62 () (@list @t17)) % 0.45/0.89 (define @t63 () (tptp.relation_field @t1)) % 0.45/0.89 (define @t64 () (tptp.antisymmetric @t1)) % 0.45/0.89 (define @t65 () (tptp.apply @t1 @t33)) % 0.45/0.89 (define @t66 () (tptp.in @t33 @t54)) % 0.45/0.89 (define @t67 () (= @t17 (tptp.relation_inverse_image @t1 @t2))) % 0.45/0.89 (define @t68 () (tptp.ordered_pair @t45 @t33)) % 0.45/0.89 (define @t69 () (tptp.connected @t1)) % 0.45/0.89 (define @t70 () (tptp.transitive @t1)) % 0.45/0.89 (define @t71 () (tptp.in @t45 @t33)) % 0.45/0.89 (define @t72 () (@list @t1 @t2 @t17 @t33)) % 0.45/0.89 (define @t73 () (= @t2 @t17)) % 0.45/0.89 (define @t74 () (= @t1 @t36)) % 0.45/0.89 (define @t75 () (@list @t2)) % 0.45/0.89 (define @t76 () (tptp.ordered_pair @t2 @t17)) % 0.45/0.89 (define @t77 () (exists @t52 (= @t1 @t76))) % 0.45/0.89 (define @t78 () (tptp.singleton @t1)) % 0.45/0.89 (define @t79 () (tptp.succ @t1)) % 0.45/0.89 (define @t80 () (tptp.in @t17 @t2)) % 0.45/0.89 (define @t81 () (tptp.is_reflexive_in @t1 @t2)) % 0.45/0.89 (define @t82 () (tptp.relation_of2 @t17 @t1 @t2)) % 0.45/0.89 (define @t83 () (= @t2 tptp.empty_set)) % 0.45/0.89 (define @t84 () (= @t2 (tptp.set_meet @t1))) % 0.45/0.89 (define @t85 () (= @t1 tptp.empty_set)) % 0.45/0.89 (define @t86 () (tptp.in @t17 @t33)) % 0.45/0.89 (define @t87 () (tptp.in @t33 @t1)) % 0.45/0.89 (define @t88 () (not @t85)) % 0.45/0.89 (define @t89 () (= @t33 @t2)) % 0.45/0.89 (define @t90 () (tptp.subset @t17 @t33)) % 0.45/0.89 (define @t91 () (tptp.relation_field @t2)) % 0.45/0.89 (define @t92 () (tptp.inclusion_relation @t1)) % 0.45/0.89 (define @t93 () (tptp.powerset @t1)) % 0.45/0.89 (define @t94 () (= @t2 @t33)) % 0.45/0.89 (define @t95 () (tptp.in @t36 @t1)) % 0.45/0.89 (define @t96 () (tptp.empty @t2)) % 0.45/0.89 (define @t97 () (tptp.element @t2 @t1)) % 0.45/0.89 (define @t98 () (not @t10)) % 0.45/0.89 (define @t99 () (not @t83)) % 0.45/0.89 (define @t100 () (tptp.well_founded_relation @t1)) % 0.45/0.89 (define @t101 () (@var "F" $$unsorted)) % 0.45/0.89 (define @t102 () (not @t80)) % 0.45/0.89 (define @t103 () (not @t73)) % 0.45/0.89 (define @t104 () (tptp.in @t2 @t17)) % 0.45/0.89 (define @t105 () (forall @t62 (=> @t35 @t80))) % 0.45/0.89 (define @t106 () (= @t17 tptp.empty_set)) % 0.45/0.89 (define @t107 () (tptp.subset @t17 @t2)) % 0.45/0.89 (define @t108 () (tptp.is_well_founded_in @t1 @t2)) % 0.45/0.89 (define @t109 () (tptp.apply @t1 @t2)) % 0.45/0.89 (define @t110 () (= @t17 @t109)) % 0.45/0.89 (define @t111 () (tptp.in @t2 @t54)) % 0.45/0.89 (define @t112 () (tptp.in @t76 @t1)) % 0.45/0.89 (define @t113 () (tptp.in (tptp.ordered_pair @t33 @t17) @t1)) % 0.45/0.89 (define @t114 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.45/0.89 (define @t115 () (tptp.cast_to_subset @t1)) % 0.45/0.89 (define @t116 () (tptp.union @t1)) % 0.45/0.89 (define @t117 () (tptp.reflexive @t1)) % 0.45/0.89 (define @t118 () (tptp.well_ordering @t1)) % 0.45/0.89 (define @t119 () (= @t118 (and @t117 @t70 @t64 @t69 @t100))) % 0.45/0.89 (define @t120 () (forall @t11 (=> @t16 @t119))) % 0.45/0.89 (define @t121 () (tptp.set_difference @t1 @t2)) % 0.45/0.89 (define @t122 () (and @t66 (= @t17 @t65))) % 0.45/0.89 (define @t123 () (tptp.relation_rng @t1)) % 0.45/0.89 (define @t124 () (= @t2 @t123)) % 0.45/0.89 (define @t125 () (tptp.subset_complement @t1 @t2)) % 0.45/0.89 (define @t126 () (tptp.element @t2 @t93)) % 0.45/0.89 (define @t127 () (tptp.ordered_pair @t1 @t2)) % 0.45/0.89 (define @t128 () (tptp.is_connected_in @t1 @t2)) % 0.45/0.89 (define @t129 () (tptp.is_transitive_in @t1 @t2)) % 0.45/0.89 (define @t130 () (tptp.being_limit_ordinal @t1)) % 0.45/0.89 (define @t131 () (tptp.cartesian_product2 @t2 @t2)) % 0.45/0.89 (define @t132 () (tptp.relation_restriction @t1 @t2)) % 0.45/0.89 (define @t133 () (tptp.relation_inverse @t1)) % 0.45/0.89 (define @t134 () (tptp.apply @t17 @t33)) % 0.45/0.89 (define @t135 () (tptp.relation_rng @t17)) % 0.45/0.89 (define @t136 () (tptp.relation_dom @t17)) % 0.45/0.89 (define @t137 () (tptp.relation_isomorphism @t1 @t2 @t17)) % 0.45/0.89 (define @t138 () (and @t18 (tptp.function @t17))) % 0.45/0.89 (define @t139 () (tptp.disjoint @t1 @t2)) % 0.45/0.89 (define @t140 () (@list @t101)) % 0.45/0.89 (define @t141 () (tptp.relation_composition @t1 @t2)) % 0.45/0.89 (define @t142 () (@list @t17 @t33 @t45)) % 0.45/0.89 (define @t143 () (tptp.complements_of_subsets @t1 @t2)) % 0.45/0.89 (define @t144 () (tptp.powerset @t93)) % 0.45/0.89 (define @t145 () (tptp.element @t2 @t144)) % 0.45/0.89 (define @t146 () (not @t44)) % 0.45/0.89 (define @t147 () (tptp.function_inverse @t1)) % 0.45/0.89 (define @t148 () (tptp.relation @t133)) % 0.45/0.89 (define @t149 () (tptp.relation_dom_as_subset @t1 @t2 @t17)) % 0.45/0.89 (define @t150 () (tptp.relation @t141)) % 0.45/0.89 (define @t151 () (and @t16 @t41)) % 0.45/0.89 (define @t152 () (tptp.powerset @t2)) % 0.45/0.89 (define @t153 () (tptp.relation_rng_as_subset @t1 @t2 @t17)) % 0.45/0.89 (define @t154 () (tptp.union_of_subsets @t1 @t2)) % 0.45/0.89 (define @t155 () (tptp.relation @t39)) % 0.45/0.89 (define @t156 () (tptp.meet_of_subsets @t1 @t2)) % 0.45/0.89 (define @t157 () (tptp.subset_difference @t1 @t2 @t17)) % 0.45/0.89 (define @t158 () (tptp.element @t17 @t93)) % 0.45/0.89 (define @t159 () (and @t126 @t158)) % 0.45/0.89 (define @t160 () (tptp.relation @t51)) % 0.45/0.89 (define @t161 () (tptp.relation @t61)) % 0.45/0.89 (define @t162 () (tptp.relation_of2_as_subset @t17 @t1 @t2)) % 0.45/0.89 (define @t163 () (tptp.relation_composition @t2 @t1)) % 0.45/0.89 (define @t164 () (and @t10 @t41)) % 0.45/0.89 (define @t165 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.45/0.89 (define @t166 () (tptp.relation tptp.empty_set)) % 0.45/0.89 (define @t167 () (tptp.empty tptp.empty_set)) % 0.45/0.89 (define @t168 () (tptp.relation_empty_yielding @t1)) % 0.45/0.89 (define @t169 () (and @t16 @t168)) % 0.45/0.89 (define @t170 () (tptp.function @t2)) % 0.45/0.89 (define @t171 () (not (tptp.empty @t79))) % 0.45/0.89 (define @t172 () (not @t96)) % 0.45/0.89 (define @t173 () (and @t41 @t170)) % 0.45/0.89 (define @t174 () (tptp.empty @t54)) % 0.45/0.89 (define @t175 () (and @t98 @t16)) % 0.45/0.89 (define @t176 () (tptp.empty @t123)) % 0.45/0.89 (define @t177 () (tptp.in @t2 @t63)) % 0.45/0.89 (define @t178 () (tptp.disjoint @t78 @t2)) % 0.45/0.89 (define @t179 () (not @t5)) % 0.45/0.89 (define @t180 () (tptp.relation_dom @t2)) % 0.45/0.89 (define @t181 () (tptp.in (tptp.ordered_pair @t17 @t2) @t1)) % 0.45/0.89 (define @t182 () (not @t112)) % 0.45/0.89 (define @t183 () (tptp.singleton @t2)) % 0.45/0.89 (define @t184 () (tptp.union @t2)) % 0.45/0.89 (define @t185 () (tptp.in @t1 @t17)) % 0.45/0.89 (define @t186 () (tptp.element @t1 @t152)) % 0.45/0.89 (define @t187 () (tptp.relation_dom_restriction @t17 @t1)) % 0.45/0.89 (define @t188 () (tptp.in @t2 (tptp.relation_dom @t187))) % 0.45/0.89 (define @t189 () (tptp.set_difference @t2 @t17)) % 0.45/0.89 (define @t190 () (tptp.ordinal @t17)) % 0.45/0.89 (define @t191 () (@var "H" $$unsorted)) % 0.45/0.89 (define @t192 () (tptp.succ @t2)) % 0.45/0.89 (define @t193 () (= @t33 @t45)) % 0.45/0.89 (define @t194 () (@var "G" $$unsorted)) % 0.45/0.89 (define @t195 () (= @t1 @t17)) % 0.45/0.89 (define @t196 () (tptp.relation_rng @t61)) % 0.45/0.89 (define @t197 () (tptp.relation_rng @t2)) % 0.45/0.89 (define @t198 () (tptp.cartesian_product2 @t1 @t17)) % 0.45/0.89 (define @t199 () (forall @t62 (not (and @t107 (not (tptp.are_equipotent @t17 @t2)) @t102)))) % 0.45/0.89 (define @t200 () (tptp.powerset @t17)) % 0.45/0.89 (define @t201 () (forall @t38 (=> (and @t80 (tptp.subset @t33 @t17)) @t48))) % 0.45/0.89 (define @t202 () (tptp.relation_dom_restriction @t17 @t2)) % 0.45/0.89 (define @t203 () (tptp.relation_image @t2 @t1)) % 0.45/0.89 (define @t204 () (tptp.relation_inverse_image @t2 @t1)) % 0.45/0.89 (define @t205 () (tptp.relation_image @t2 @t204)) % 0.45/0.89 (define @t206 () (tptp.set_intersection2 @t180 @t1)) % 0.45/0.89 (define @t207 () (tptp.subset @t1 @t197)) % 0.45/0.89 (define @t208 () (tptp.relation_of2_as_subset @t33 @t17 @t2)) % 0.45/0.89 (define @t209 () (tptp.relation_of2_as_subset @t33 @t17 @t1)) % 0.45/0.89 (define @t210 () (tptp.relation_rng @t141)) % 0.45/0.89 (define @t211 () (tptp.relation_inverse_image @t17 @t2)) % 0.45/0.89 (define @t212 () (tptp.relation_restriction @t17 @t2)) % 0.45/0.89 (define @t213 () (tptp.relation_restriction @t2 @t1)) % 0.45/0.89 (define @t214 () (tptp.relation_dom_restriction @t2 @t1)) % 0.45/0.89 (define @t215 () (tptp.relation_field @t17)) % 0.45/0.89 (define @t216 () (tptp.in @t1 @t215)) % 0.45/0.89 (define @t217 () (tptp.set_intersection2 @t2 @t17)) % 0.45/0.89 (define @t218 () (tptp.subset @t1 @t17)) % 0.45/0.89 (define @t219 () (tptp.element @t1 @t2)) % 0.45/0.89 (define @t220 () (tptp.in @t1 @t136)) % 0.45/0.89 (define @t221 () (tptp.in @t127 @t17)) % 0.45/0.89 (define @t222 () (tptp.relation_field @t213)) % 0.45/0.89 (define @t223 () (tptp.apply @t17 @t1)) % 0.45/0.89 (define @t224 () (tptp.relation_composition @t17 @t2)) % 0.45/0.89 (define @t225 () (tptp.in @t1 (tptp.relation_dom @t224))) % 0.45/0.89 (define @t226 () (tptp.reflexive @t2)) % 0.45/0.89 (define @t227 () (tptp.connected @t2)) % 0.45/0.89 (define @t228 () (tptp.transitive @t2)) % 0.45/0.89 (define @t229 () (tptp.antisymmetric @t2)) % 0.45/0.89 (define @t230 () (tptp.well_founded_relation @t2)) % 0.45/0.89 (define @t231 () (tptp.well_ordering @t2)) % 0.45/0.89 (define @t232 () (tptp.apply @t2 @t17)) % 0.45/0.89 (define @t233 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.45/0.89 (define @t234 () (and @t35 @t80)) % 0.45/0.89 (define @t235 () (not @t139)) % 0.45/0.89 (define @t236 () (= @t1 @t192)) % 0.45/0.89 (define @t237 () (tptp.subset_complement @t1 @t17)) % 0.45/0.89 (define @t238 () (tptp.disjoint @t2 @t17)) % 0.45/0.89 (define @t239 () (tptp.relation_dom @t141)) % 0.45/0.89 (define @t240 () (tptp.element @t2 @t200)) % 0.45/0.89 (define @t241 () (tptp.connected @t92)) % 0.45/0.89 (define @t242 () (forall @t11 (=> @t15 @t241))) % 0.45/0.89 (define @t243 () (tptp.in @t17 @t29)) % 0.45/0.89 (define @t244 () (and (tptp.in @t17 @t123) (= @t33 @t232))) % 0.45/0.89 (define @t245 () (tptp.function_inverse @t2)) % 0.45/0.89 (define @t246 () (= @t123 tptp.empty_set)) % 0.45/0.89 (define @t247 () (= @t54 tptp.empty_set)) % 0.45/0.89 (define @t248 () (tptp.well_founded_relation @t92)) % 0.45/0.89 (define @t249 () (forall @t11 (=> @t15 @t248))) % 0.45/0.89 (define @t250 () (= (tptp.apply @t187 @t2) (tptp.apply @t17 @t2))) % 0.45/0.89 (define @t251 () (tptp.well_ordering @t92)) % 0.45/0.89 (define @t252 () (forall @t11 (=> @t15 @t251))) % 0.45/0.89 (define @t253 () (not @t252)) % 0.45/0.89 (define @t254 () (= @t78 (tptp.unordered_pair @t2 @t17))) % 0.45/0.89 (define @t255 () (@quantifiers_skolemize (forall @t11 (or (not @t15) @t251)) 0)) % 0.45/0.89 (define @t256 () (tptp.inclusion_relation @t255)) % 0.45/0.89 (define @t257 () (@list @t255)) % 0.45/0.89 (define @t258 () (tptp.well_founded_relation @t256)) % 0.45/0.89 (define @t259 () (tptp.connected @t256)) % 0.45/0.89 (define @t260 () (tptp.antisymmetric @t256)) % 0.45/0.89 (define @t261 () (tptp.transitive @t256)) % 0.45/0.89 (define @t262 () (tptp.reflexive @t256)) % 0.45/0.89 (define @t263 () (and @t262 @t261 @t260 @t259 @t258)) % 0.45/0.89 (define @t264 () (tptp.well_ordering @t256)) % 0.45/0.89 (define @t265 () (= @t264 @t263)) % 0.45/0.89 (define @t266 () (tptp.relation @t256)) % 0.45/0.89 (define @t267 () (not @t266)) % 0.45/0.89 (define @t268 () (or @t267 @t265)) % 0.45/0.89 (define @t269 () (@list false false)) % 0.45/0.89 (define @t270 () (tptp.ordinal @t255)) % 0.45/0.89 (define @t271 () (not @t270)) % 0.45/0.89 (define @t272 () (or @t271 @t264)) % 0.45/0.89 (define @t273 () (@list true)) % 0.45/0.89 (define @t274 () (@list @t272)) % 0.45/0.89 (define @t275 () (not @t263)) % 0.45/0.89 (define @t276 () (or @t271 @t259)) % 0.45/0.89 (define @t277 () (or @t271 @t258)) % 0.45/0.89 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.45/0.89 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.45/0.89 (assume @p3 (forall @t11 (=> @t10 @t9))) % 0.45/0.89 (assume @p4 (forall @t11 (=> @t15 @t14))) % 0.45/0.89 (assume @p5 (forall @t11 (=> @t10 @t16))) % 0.45/0.89 (assume @p6 (forall @t21 (=> @t20 @t18))) % 0.45/0.89 (assume @p7 (forall @t11 (=> @t24 @t23))) % 0.45/0.89 (assume @p8 (forall @t11 (=> @t14 @t15))) % 0.45/0.89 (assume @p9 (forall @t11 (=> @t10 @t25))) % 0.45/0.89 (assume @p10 (forall @t6 (= @t26 (tptp.unordered_pair @t2 @t1)))) % 0.45/0.89 (assume @p11 (forall @t6 (= @t28 @t27))) % 0.45/0.89 (assume @p12 (forall @t6 (= @t29 (tptp.set_intersection2 @t2 @t1)))) % 0.45/0.89 (assume @p13 (forall @t6 (=> @t32 (or @t30 (tptp.ordinal_subset @t2 @t1))))) % 0.45/0.89 (assume @p14 (forall @t6 (=> @t41 (= @t40 (forall @t38 (= @t37 (and @t35 @t34))))))) % 0.45/0.89 (assume @p15 (forall @t6 (= @t44 (and @t43 @t42)))) % 0.45/0.89 (assume @p16 (forall @t11 (=> @t16 (forall @t52 (=> @t18 (= (= @t17 @t51) (forall @t50 (= @t49 (and @t48 @t47))))))))) % 0.45/0.89 (assume @p17 (forall @t11 (=> @t59 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t54) @t53 (= @t33 (tptp.apply @t1 @t45))))))))))) % 0.45/0.89 (assume @p18 (forall @t6 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t61) (forall @t50 (= @t49 (and @t60 (tptp.in @t46 @t2)))))))))) % 0.45/0.89 (assume @p19 (forall @t11 (=> @t16 (= @t64 (tptp.is_antisymmetric_in @t1 @t63))))) % 0.45/0.89 (assume @p20 (forall @t11 (=> @t59 (forall @t52 (= @t67 (forall @t57 (= @t56 (and @t66 (tptp.in @t65 @t2))))))))) % 0.45/0.89 (assume @p21 (forall @t11 (=> @t16 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t68 @t1) @t53))))))))) % 0.45/0.89 (assume @p22 (forall @t11 (=> @t16 (forall @t52 (= @t67 (forall @t57 (= @t56 (exists @t55 (and @t47 @t53))))))))) % 0.45/0.89 (assume @p23 (forall @t11 (=> @t16 (= @t69 (tptp.is_connected_in @t1 @t63))))) % 0.45/0.89 (assume @p24 (forall @t11 (=> @t16 (= @t70 (tptp.is_transitive_in @t1 @t63))))) % 0.45/0.89 (assume @p25 (forall @t72 (= (= @t33 (tptp.unordered_triple @t1 @t2 @t17)) (forall @t55 (= @t71 (not (and (not (= @t45 @t1)) (not (= @t45 @t2)) (not (= @t45 @t17))))))))) % 0.45/0.89 (assume @p26 (forall @t11 (=> @t77 (forall @t75 (= (= @t2 (tptp.pair_first @t1)) (forall @t38 (=> @t74 @t73))))))) % 0.45/0.89 (assume @p27 (forall @t11 (= @t79 (tptp.set_union2 @t1 @t78)))) % 0.45/0.89 (assume @p28 (forall @t11 (= @t16 (forall @t75 (not (and @t3 (forall @t38 (not (= @t2 @t36))))))))) % 0.45/0.89 (assume @p29 (forall @t11 (=> @t16 (forall @t75 (= @t81 (forall @t62 (=> @t80 (tptp.in (tptp.ordered_pair @t17 @t17) @t1)))))))) % 0.45/0.89 (assume @p30 (forall @t21 (= @t82 (tptp.subset @t17 @t19)))) % 0.45/0.89 (assume @p31 (forall @t6 (and (=> @t88 (= @t84 (forall @t62 (= @t80 (forall @t57 (=> @t87 @t86)))))) (=> @t85 (= @t84 @t83))))) % 0.45/0.89 (assume @p32 (forall @t6 (= (= @t2 @t78) (forall @t62 (= @t80 (= @t17 @t1)))))) % 0.45/0.89 (assume @p33 (forall @t11 (=> @t16 (forall @t52 (= (= @t17 (tptp.fiber @t1 @t2)) (forall @t57 (= @t56 (and (not @t89) (tptp.in (tptp.ordered_pair @t33 @t2) @t1))))))))) % 0.45/0.89 (assume @p34 (forall @t6 (=> @t41 (= (= @t2 @t92) (and (= @t91 @t1) (forall @t38 (=> (and @t35 @t87) (= @t37 @t90)))))))) % 0.45/0.89 (assume @p35 (forall @t11 (= @t85 (forall @t75 @t4)))) % 0.45/0.89 (assume @p36 (forall @t6 (= (= @t2 @t93) (forall @t62 (= @t80 (tptp.subset @t17 @t1)))))) % 0.45/0.89 (assume @p37 (forall @t11 (=> @t77 (forall @t75 (= (= @t2 (tptp.pair_second @t1)) (forall @t38 (=> @t74 @t94))))))) % 0.45/0.89 (assume @p38 (forall @t11 (= @t13 (forall @t75 (=> @t3 @t42))))) % 0.45/0.89 (assume @p39 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t44 (forall @t38 (= @t95 @t37)))))))) % 0.45/0.89 (assume @p40 (forall @t6 (and (=> @t98 (= @t97 @t3)) (=> @t10 (= @t97 @t96))))) % 0.45/0.89 (assume @p41 (forall @t21 (= (= @t17 @t26) (forall @t57 (= @t56 (or (= @t33 @t1) @t89)))))) % 0.45/0.89 (assume @p42 (forall @t11 (=> @t16 (= @t100 (forall @t75 (not (and (tptp.subset @t2 @t63) @t99 (forall @t62 (not (and @t80 (tptp.disjoint (tptp.fiber @t1 @t17) @t2))))))))))) % 0.45/0.89 (assume @p43 (forall @t21 (= (= @t17 @t28) (forall @t57 (= @t56 (or @t87 @t48)))))) % 0.45/0.89 (assume @p44 (forall @t21 (= (= @t17 @t19) (forall @t57 (= @t56 (exists (@list @t45 @t101) (and @t60 (tptp.in @t101 @t2) (= @t33 (tptp.ordered_pair @t45 @t101))))))))) % 0.45/0.89 (assume @p45 (forall @t11 (= @t12 (forall @t52 (not (and @t3 @t35 (not @t104) @t103 @t102)))))) % 0.45/0.89 (assume @p46 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t43 (forall @t38 (=> @t95 @t37)))))))) % 0.45/0.89 (assume @p47 (forall @t6 (= @t43 @t105))) % 0.45/0.89 (assume @p48 (forall @t11 (=> @t16 (forall @t75 (= @t108 (forall @t62 (not (and @t107 (not @t106) (forall @t57 (not (and @t56 (tptp.disjoint (tptp.fiber @t1 @t33) @t17)))))))))))) % 0.45/0.89 (assume @p49 (forall @t21 (= (= @t17 @t29) (forall @t57 (= @t56 (and @t87 @t48)))))) % 0.45/0.89 (assume @p50 (forall @t11 (=> @t59 (forall @t52 (and (=> @t111 (= @t110 @t112)) (=> (not @t111) (= @t110 @t106))))))) % 0.45/0.89 (assume @p51 (forall @t11 (= @t15 @t14))) % 0.45/0.89 (assume @p52 (forall @t11 (=> @t16 (forall @t75 (= (= @t2 @t54) (forall @t62 (= @t80 (exists @t57 @t95)))))))) % 0.45/0.89 (assume @p53 (forall @t11 (=> @t16 (forall @t75 (= @t114 (forall @t38 (=> (and @t80 @t48 @t95 @t113) @t34))))))) % 0.45/0.89 (assume @p54 (forall @t11 (= @t115 @t1))) % 0.45/0.89 (assume @p55 (forall @t6 (= (= @t2 @t116) (forall @t62 (= @t80 (exists @t57 (and @t86 @t87))))))) % 0.45/0.89 (assume @p56 @t120) % 0.45/0.89 (assume @p57 (forall @t21 (= (= @t17 @t121) (forall @t57 (= @t56 (and @t87 (not @t48))))))) % 0.45/0.89 (assume @p58 (forall @t11 (=> @t59 (forall @t75 (= @t124 (forall @t62 (= @t80 (exists @t57 @t122)))))))) % 0.45/0.89 (assume @p59 (forall @t11 (=> @t16 (forall @t75 (= @t124 (forall @t62 (= @t80 (exists @t57 @t113)))))))) % 0.45/0.89 (assume @p60 (forall @t6 (=> @t126 (= @t125 @t121)))) % 0.45/0.89 (assume @p61 (forall @t6 (= @t127 (tptp.unordered_pair @t26 @t78)))) % 0.45/0.89 (assume @p62 (forall @t11 (=> @t16 (forall @t75 (= (tptp.well_orders @t1 @t2) (and @t81 @t129 @t114 @t128 @t108)))))) % 0.45/0.89 (assume @p63 (forall @t11 (= @t130 (= @t1 @t116)))) % 0.45/0.89 (assume @p64 (forall @t11 (=> @t16 (= @t63 (tptp.set_union2 @t54 @t123))))) % 0.45/0.89 (assume @p65 (forall @t11 (=> @t16 (forall @t75 (= @t128 (forall @t38 (not (and @t80 @t48 (not @t34) (not @t95) (not @t113))))))))) % 0.45/0.89 (assume @p66 (forall @t11 (=> @t16 (forall @t75 (= @t132 (tptp.set_intersection2 @t1 @t131)))))) % 0.45/0.89 (assume @p67 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= (= @t2 @t133) (forall @t38 (= @t37 @t113)))))))) % 0.45/0.89 (assume @p68 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t138 (= @t137 (and (= @t136 @t63) (= @t135 @t91) (tptp.one_to_one @t17) (forall @t50 (= @t47 (and (tptp.in @t33 @t63) (tptp.in @t45 @t63) (tptp.in (tptp.ordered_pair @t134 (tptp.apply @t17 @t45)) @t2))))))))))))) % 0.45/0.89 (assume @p69 (forall @t6 (= @t139 (= @t29 tptp.empty_set)))) % 0.45/0.89 (assume @p70 (forall @t11 (=> @t59 (= @t22 (forall @t52 (=> (and @t111 (tptp.in @t17 @t54) (= @t109 (tptp.apply @t1 @t17))) @t73)))))) % 0.45/0.89 (assume @p71 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t141) (forall @t50 (= @t49 (exists @t140 (and (tptp.in (tptp.ordered_pair @t33 @t101) @t1) (tptp.in (tptp.ordered_pair @t101 @t45) @t2))))))))))))) % 0.45/0.89 (assume @p72 (forall @t11 (=> @t16 (forall @t75 (= @t129 (forall @t142 (=> (and @t80 @t48 @t53 @t95 @t47) (tptp.in (tptp.ordered_pair @t17 @t45) @t1)))))))) % 0.45/0.89 (assume @p73 (forall @t6 (=> @t145 (forall @t62 (=> (tptp.element @t17 @t144) (= (= @t17 @t143) (forall @t57 (=> (tptp.element @t33 @t93) (= @t56 (tptp.in (tptp.subset_complement @t1 @t33) @t2)))))))))) % 0.45/0.89 (assume @p74 (forall @t6 (= @t8 (and @t43 @t146)))) % 0.45/0.89 (assume @p75 (forall @t11 (=> @t59 (=> @t22 (= @t147 @t133))))) % 0.45/0.89 (assume @p76 (forall @t11 (=> @t16 (= @t117 (tptp.is_reflexive_in @t1 @t63))))) % 0.45/0.89 (assume @p77 true) % 0.45/0.89 (assume @p78 (forall @t11 (tptp.relation @t92))) % 0.45/0.89 (assume @p79 (forall @t11 (=> @t59 (and (tptp.relation @t147) (tptp.function @t147))))) % 0.45/0.89 (assume @p80 (forall @t11 (tptp.element @t115 @t93))) % 0.45/0.89 (assume @p81 (forall @t6 (=> @t16 (tptp.relation @t132)))) % 0.45/0.89 (assume @p82 (forall @t6 (=> @t126 (tptp.element @t125 @t93)))) % 0.45/0.89 (assume @p83 (forall @t11 (=> @t16 @t148))) % 0.45/0.89 (assume @p84 (forall @t21 (=> @t82 (tptp.element @t149 @t93)))) % 0.45/0.89 (assume @p85 (forall @t6 (=> @t151 @t150))) % 0.45/0.89 (assume @p86 (forall @t21 (=> @t82 (tptp.element @t153 @t152)))) % 0.45/0.89 (assume @p87 (forall @t6 (=> @t145 (tptp.element @t154 @t93)))) % 0.45/0.89 (assume @p88 (forall @t11 @t155)) % 0.45/0.89 (assume @p89 (forall @t6 (=> @t145 (tptp.element @t156 @t93)))) % 0.45/0.89 (assume @p90 (forall @t21 (=> @t159 (tptp.element @t157 @t93)))) % 0.45/0.89 (assume @p91 (forall @t6 (=> @t16 @t160))) % 0.45/0.89 (assume @p92 (forall @t6 (=> @t145 (tptp.element @t143 @t144)))) % 0.45/0.89 (assume @p93 (forall @t6 (=> @t41 @t161))) % 0.45/0.89 (assume @p94 (forall @t21 (=> @t162 @t20))) % 0.45/0.89 (assume @p95 (forall @t6 (exists @t62 @t82))) % 0.45/0.89 (assume @p96 (forall @t11 (exists @t75 @t97))) % 0.45/0.89 (assume @p97 (forall @t6 (exists @t62 @t162))) % 0.45/0.89 (assume @p98 (forall @t6 (=> @t164 (and (tptp.empty @t163) (tptp.relation @t163))))) % 0.45/0.89 (assume @p99 (forall @t11 (=> @t10 (and (tptp.empty @t133) @t148)))) % 0.45/0.89 (assume @p100 (and @t167 @t166 @t165)) % 0.45/0.89 (assume @p101 (forall @t6 (=> @t169 (and @t160 (tptp.relation_empty_yielding @t51))))) % 0.45/0.89 (assume @p102 (forall @t6 (=> (and @t16 @t9 @t41 @t170) (and @t150 (tptp.function @t141))))) % 0.45/0.89 (assume @p103 (forall @t11 @t171)) % 0.45/0.89 (assume @p104 (forall @t6 (=> @t151 (tptp.relation @t29)))) % 0.45/0.89 (assume @p105 (forall @t11 (not (tptp.empty @t93)))) % 0.45/0.89 (assume @p106 @t167) % 0.45/0.89 (assume @p107 (forall @t6 (not (tptp.empty @t127)))) % 0.45/0.89 (assume @p108 (forall @t11 (and @t155 (tptp.function @t39)))) % 0.45/0.89 (assume @p109 (and @t166 @t165 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t167 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.45/0.89 (assume @p110 (forall @t6 (=> @t151 (tptp.relation @t28)))) % 0.45/0.89 (assume @p111 (forall @t11 (not (tptp.empty @t78)))) % 0.45/0.89 (assume @p112 (forall @t6 (=> @t98 (not (tptp.empty @t28))))) % 0.45/0.89 (assume @p113 (forall @t11 (=> @t23 (and @t148 (tptp.function @t133))))) % 0.45/0.89 (assume @p114 (forall @t11 (=> @t15 (and @t171 (tptp.epsilon_transitive @t79) (tptp.epsilon_connected @t79) (tptp.ordinal @t79))))) % 0.45/0.89 (assume @p115 (forall @t6 (=> @t151 (tptp.relation @t121)))) % 0.45/0.89 (assume @p116 (forall @t6 (not (tptp.empty @t26)))) % 0.45/0.89 (assume @p117 (forall @t6 (=> @t98 (not (tptp.empty @t27))))) % 0.45/0.89 (assume @p118 (forall @t6 (=> @t59 (and @t160 (tptp.function @t51))))) % 0.45/0.89 (assume @p119 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t116) (tptp.epsilon_connected @t116) (tptp.ordinal @t116))))) % 0.45/0.89 (assume @p120 (and @t167 @t166)) % 0.45/0.89 (assume @p121 (forall @t6 (=> (and @t98 @t172) (not (tptp.empty @t19))))) % 0.45/0.89 (assume @p122 (forall @t6 (=> @t173 (and @t161 (tptp.function @t61))))) % 0.45/0.89 (assume @p123 (forall @t11 (=> @t175 (not @t174)))) % 0.45/0.89 (assume @p124 (forall @t11 (=> @t175 (not @t176)))) % 0.45/0.89 (assume @p125 (forall @t11 (=> @t10 (and @t174 (tptp.relation @t54))))) % 0.45/0.89 (assume @p126 (forall @t11 (=> @t10 (and @t176 (tptp.relation @t123))))) % 0.45/0.89 (assume @p127 (forall @t6 (=> @t164 (and (tptp.empty @t141) @t150)))) % 0.45/0.89 (assume @p128 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.45/0.89 (assume @p129 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.45/0.89 (assume @p130 (forall @t6 (=> @t126 (= (tptp.subset_complement @t1 @t125) @t2)))) % 0.45/0.89 (assume @p131 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t133) @t1)))) % 0.45/0.89 (assume @p132 (forall @t6 (=> @t145 (= (tptp.complements_of_subsets @t1 @t143) @t2)))) % 0.45/0.89 (assume @p133 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.45/0.89 (assume @p134 (forall @t11 (=> @t16 (= @t117 (forall @t75 (=> @t177 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 0.45/0.89 (assume @p135 (forall @t11 (not (= @t78 tptp.empty_set)))) % 0.45/0.89 (assume @p136 (forall @t6 (=> @t5 (= (tptp.set_union2 @t78 @t2) @t2)))) % 0.45/0.89 (assume @p137 (forall @t6 (not (and @t178 @t5)))) % 0.45/0.89 (assume @p138 (forall @t6 (=> @t179 @t178))) % 0.45/0.89 (assume @p139 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_dom @t61) @t180)))) % 0.45/0.89 (assume @p140 (forall @t11 (=> @t16 (= @t70 (forall (@list @t2 @t17 @t33) (=> (and @t112 @t95) (tptp.in (tptp.ordered_pair @t2 @t33) @t1))))))) % 0.45/0.89 (assume @p141 (forall @t6 (= (tptp.subset @t78 @t2) @t5))) % 0.45/0.89 (assume @p142 (forall @t6 (= (= @t121 tptp.empty_set) @t43))) % 0.45/0.89 (assume @p143 (forall @t6 (=> @t126 (forall @t62 (=> @t80 @t35))))) % 0.45/0.89 (assume @p144 (forall @t11 (=> @t16 (= @t64 (forall @t52 (=> (and @t112 @t181) @t73)))))) % 0.45/0.89 (assume @p145 (forall @t21 (=> @t43 (or @t35 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t17))))))) % 0.45/0.89 (assume @p146 (forall @t11 (=> @t16 (= @t69 (forall @t52 (not (and @t177 (tptp.in @t17 @t63) @t103 @t182 (not @t181)))))))) % 0.45/0.89 (assume @p147 (forall @t6 (= (tptp.subset @t1 @t183) (or @t85 (= @t1 @t183))))) % 0.45/0.89 (assume @p148 (forall @t6 (=> @t5 (tptp.subset @t1 @t184)))) % 0.45/0.89 (assume @p149 (forall @t72 (= (tptp.in @t127 (tptp.cartesian_product2 @t17 @t33)) (and @t185 (tptp.in @t2 @t33))))) % 0.45/0.89 (assume @p150 (forall @t6 (=> @t105 @t186))) % 0.45/0.89 (assume @p151 (forall @t21 (=> @t138 (= @t188 (and (tptp.in @t2 @t136) @t3))))) % 0.45/0.89 (assume @p152 (exists @t11 @t59)) % 0.45/0.89 (assume @p153 (exists @t11 @t25)) % 0.45/0.89 (assume @p154 (exists @t11 (and @t10 @t16))) % 0.45/0.89 (assume @p155 (forall @t11 (=> @t98 (exists @t75 (and @t126 @t172))))) % 0.45/0.89 (assume @p156 (exists @t11 @t10)) % 0.45/0.89 (assume @p157 (exists @t11 @t24)) % 0.45/0.89 (assume @p158 (exists @t11 (and @t16 @t9 @t22 @t10 @t13 @t12 @t15))) % 0.45/0.89 (assume @p159 (exists @t11 @t175)) % 0.45/0.89 (assume @p160 (forall @t11 (exists @t75 (and @t126 @t96)))) % 0.45/0.89 (assume @p161 (exists @t11 @t98)) % 0.45/0.89 (assume @p162 (exists @t11 @t23)) % 0.45/0.89 (assume @p163 (exists @t11 (and @t98 @t13 @t12 @t15))) % 0.45/0.89 (assume @p164 (exists @t11 @t169)) % 0.45/0.89 (assume @p165 (exists @t11 (and @t16 @t168 @t9))) % 0.45/0.89 (assume @p166 (forall @t21 (=> @t82 (= @t149 @t136)))) % 0.45/0.89 (assume @p167 (forall @t21 (=> @t82 (= @t153 @t135)))) % 0.45/0.89 (assume @p168 (forall @t6 (=> @t145 (= @t154 @t184)))) % 0.45/0.89 (assume @p169 (forall @t6 (=> @t145 (= @t156 (tptp.set_meet @t2))))) % 0.45/0.89 (assume @p170 (forall @t21 (=> @t159 (= @t157 @t189)))) % 0.45/0.89 (assume @p171 (forall @t21 (= @t162 @t82))) % 0.45/0.89 (assume @p172 (forall @t6 (=> @t32 (= @t30 @t43)))) % 0.45/0.89 (assume @p173 (forall @t6 (=> @t32 (tptp.ordinal_subset @t1 @t1)))) % 0.45/0.89 (assume @p174 (forall @t6 (tptp.subset @t1 @t1))) % 0.45/0.89 (assume @p175 (forall @t11 (=> (exists @t75 (and @t31 @t3)) (exists @t75 (and @t31 @t3 (forall @t62 (=> @t190 (=> @t35 (tptp.ordinal_subset @t2 @t17))))))))) % 0.45/0.89 (assume @p176 (forall @t6 (=> @t31 (=> (forall @t142 (=> (and @t34 (exists @t140 (and (tptp.ordinal @t101) (= @t33 @t101) (tptp.in @t101 @t1))) (= @t17 @t45) (exists (@list @t194) (and (tptp.ordinal @t194) (= @t45 @t194) (tptp.in @t194 @t1)))) @t193)) (exists @t62 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t192) (= @t45 @t33) (exists (@list @t191) (and (tptp.ordinal @t191) (= @t33 @t191) (tptp.in @t191 @t1)))))))))))) % 0.45/0.89 (assume @p177 (forall @t6 (=> @t31 (exists @t62 (forall @t57 (= @t56 (and (tptp.in @t33 @t192) (exists @t55 (and (tptp.ordinal @t45) @t193 @t60))))))))) % 0.45/0.89 (assume @p178 (forall @t6 (=> @t139 (tptp.disjoint @t2 @t1)))) % 0.45/0.89 (assume @p179 (forall @t11 (tptp.in @t1 @t79))) % 0.45/0.89 (assume @p180 (forall @t72 (not (and (= @t26 (tptp.unordered_pair @t17 @t33)) (not @t195) (not (= @t1 @t33)))))) % 0.45/0.89 (assume @p181 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t135)))))) % 0.45/0.89 (assume @p182 (forall @t6 (=> @t41 (tptp.subset @t196 @t1)))) % 0.45/0.89 (assume @p183 (forall @t6 (=> @t41 (tptp.subset @t61 @t2)))) % 0.45/0.89 (assume @p184 (forall @t6 (=> @t41 (tptp.subset @t196 @t197)))) % 0.45/0.89 (assume @p185 (forall @t21 (=> @t43 (and (tptp.subset @t198 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 0.45/0.89 (assume @p186 (forall @t6 (=> @t41 (= @t196 (tptp.set_intersection2 @t197 @t1))))) % 0.45/0.89 (assume @p187 (forall @t72 (=> (and @t43 @t90) (tptp.subset @t198 (tptp.cartesian_product2 @t2 @t33))))) % 0.45/0.89 (assume @p188 (forall @t21 (=> @t162 (and (tptp.subset @t136 @t1) (tptp.subset @t135 @t2))))) % 0.45/0.89 (assume @p189 (forall @t6 (=> @t43 (= @t28 @t2)))) % 0.45/0.89 (assume @p190 (forall @t11 (exists @t75 (and @t5 @t201 (forall @t62 (=> @t80 (tptp.in @t200 @t2))) @t199)))) % 0.45/0.89 (assume @p191 (forall @t21 (=> @t18 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t202))))) % 0.45/0.89 (assume @p192 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_image @t17 @t2)) (exists @t57 (and (tptp.in @t33 @t136) (tptp.in (tptp.ordered_pair @t33 @t1) @t17) @t48)))))) % 0.45/0.89 (assume @p193 (forall @t6 (=> @t41 (tptp.subset @t203 @t197)))) % 0.45/0.89 (assume @p194 (forall @t6 (=> @t173 (tptp.subset @t205 @t1)))) % 0.45/0.89 (assume @p195 (forall @t6 (=> @t41 (= @t203 (tptp.relation_image @t2 @t206))))) % 0.45/0.89 (assume @p196 (forall @t6 (=> @t41 (=> (tptp.subset @t1 @t180) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t203)))))) % 0.45/0.89 (assume @p197 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t54) @t123)))) % 0.45/0.89 (assume @p198 (forall @t6 (=> @t173 (=> @t207 (= @t205 @t1))))) % 0.45/0.89 (assume @p199 (forall @t72 (=> @t209 (=> (tptp.subset (tptp.relation_rng @t33) @t2) @t208)))) % 0.45/0.89 (assume @p200 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t210 (tptp.relation_image @t2 @t123))))))) % 0.45/0.89 (assume @p201 (forall @t21 (=> @t18 (= (tptp.in @t1 @t211) (exists @t57 (and (tptp.in @t33 @t135) (tptp.in (tptp.ordered_pair @t1 @t33) @t17) @t48)))))) % 0.45/0.89 (assume @p202 (forall @t6 (=> @t41 (tptp.subset @t204 @t180)))) % 0.45/0.89 (assume @p203 (forall @t72 (=> @t209 (=> @t43 @t208)))) % 0.45/0.89 (assume @p204 (forall @t21 (=> @t18 (= (tptp.in @t1 @t212) (and @t185 (tptp.in @t1 @t131)))))) % 0.45/0.89 (assume @p205 (forall @t6 (=> @t41 (not (and @t88 @t207 (= @t204 tptp.empty_set)))))) % 0.45/0.89 (assume @p206 (forall @t21 (=> @t18 (=> @t43 (tptp.subset (tptp.relation_inverse_image @t17 @t1) @t211))))) % 0.45/0.89 (assume @p207 (forall @t6 (=> @t41 (= @t213 (tptp.relation_dom_restriction @t61 @t1))))) % 0.45/0.89 (assume @p208 (forall @t6 (tptp.subset @t29 @t1))) % 0.45/0.89 (assume @p209 (forall @t6 (=> @t41 (= @t213 (tptp.relation_rng_restriction @t1 @t214))))) % 0.45/0.89 (assume @p210 (forall @t21 (=> @t18 (=> (tptp.in @t1 (tptp.relation_field @t212)) (and @t216 @t5))))) % 0.45/0.89 (assume @p211 (forall @t21 (=> (and @t43 @t218) (tptp.subset @t1 @t217)))) % 0.45/0.89 (assume @p212 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.45/0.89 (assume @p213 (forall @t6 (=> @t5 @t219))) % 0.45/0.89 (assume @p214 (forall @t21 (=> (and @t43 (tptp.subset @t2 @t17)) @t218))) % 0.45/0.89 (assume @p215 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 0.45/0.89 (assume @p216 (forall @t21 (=> @t18 (=> @t221 (and @t220 (tptp.in @t2 @t135)))))) % 0.45/0.89 (assume @p217 (forall @t6 (=> @t41 (and (tptp.subset @t222 @t91) (tptp.subset @t222 @t1))))) % 0.45/0.89 (assume @p218 (forall @t6 (=> @t173 (forall @t62 (=> @t138 (= @t225 (and @t220 (tptp.in @t223 @t180)))))))) % 0.45/0.89 (assume @p219 (forall @t11 (=> @t13 (forall @t75 (=> @t31 (=> @t8 @t5)))))) % 0.45/0.89 (assume @p220 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t54 @t123))))) % 0.45/0.89 (assume @p221 (forall @t21 (=> @t18 (tptp.subset (tptp.fiber (tptp.relation_restriction @t17 @t1) @t2) (tptp.fiber @t17 @t2))))) % 0.45/0.89 (assume @p222 (forall @t6 (=> @t173 (forall @t62 (=> @t138 (=> @t225 (= (tptp.apply @t224 @t1) (tptp.apply @t2 @t223)))))))) % 0.45/0.89 (assume @p223 (forall @t21 (=> (tptp.relation_of2_as_subset @t17 @t2 @t1) (= (forall @t57 (not (and @t48 (forall @t55 (not @t49))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t17) @t2))))) % 0.45/0.89 (assume @p224 (forall @t6 (=> @t41 (=> @t226 (tptp.reflexive @t213))))) % 0.45/0.89 (assume @p225 (forall @t6 (=> @t173 (forall @t62 (=> @t138 (=> (tptp.in @t1 @t180) (= (tptp.apply (tptp.relation_composition @t2 @t17) @t1) (tptp.apply @t17 (tptp.apply @t2 @t1))))))))) % 0.45/0.89 (assume @p226 (forall @t6 (=> @t31 (=> @t5 @t15)))) % 0.45/0.89 (assume @p227 (forall @t21 (=> @t162 (= (forall @t57 (not (and @t48 (forall @t55 (not (tptp.in @t68 @t17)))))) (= @t153 @t2))))) % 0.45/0.89 (assume @p228 (forall @t6 (=> @t41 (=> @t227 (tptp.connected @t213))))) % 0.45/0.89 (assume @p229 (forall @t11 (=> @t15 (forall @t75 (=> @t31 (not (and @t179 @t146 @t4))))))) % 0.45/0.89 (assume @p230 (forall @t6 (=> @t41 (=> @t228 (tptp.transitive @t213))))) % 0.45/0.89 (assume @p231 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> @t43 (and (tptp.subset @t54 @t180) (tptp.subset @t123 @t197)))))))) % 0.45/0.89 (assume @p232 (forall @t6 (=> @t41 (=> @t229 (tptp.antisymmetric @t213))))) % 0.45/0.89 (assume @p233 (forall @t21 (=> @t43 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t217)))) % 0.45/0.89 (assume @p234 (forall @t6 (=> @t43 (= @t29 @t1)))) % 0.45/0.89 (assume @p235 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.45/0.89 (assume @p236 (forall @t6 (=> @t219 (or @t96 @t5)))) % 0.45/0.89 (assume @p237 (forall @t6 (=> (forall @t62 (= @t35 @t80)) @t44))) % 0.45/0.89 (assume @p238 (forall @t11 (tptp.reflexive @t92))) % 0.45/0.89 (assume @p239 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 0.45/0.89 (assume @p240 (forall @t21 (=> @t18 (=> @t221 (and @t216 (tptp.in @t2 @t215)))))) % 0.45/0.89 (assume @p241 (forall @t11 (=> (forall @t75 (=> @t3 (and @t31 @t42))) @t15))) % 0.45/0.89 (assume @p242 (forall @t6 (=> @t41 (=> @t230 (tptp.well_founded_relation @t213))))) % 0.45/0.89 (assume @p243 (forall @t6 (=> @t31 (not (and @t43 @t88 (forall @t62 (=> @t190 (not (and @t35 (forall @t57 (=> (tptp.ordinal @t33) (=> @t87 (tptp.ordinal_subset @t17 @t33))))))))))))) % 0.45/0.89 (assume @p244 (forall @t6 (=> @t41 (=> @t231 (tptp.well_ordering @t213))))) % 0.45/0.89 (assume @p245 (forall @t11 (=> @t15 (forall @t75 (=> @t31 (= @t5 (tptp.ordinal_subset @t79 @t2))))))) % 0.45/0.89 (assume @p246 (forall @t21 (=> @t43 (tptp.subset (tptp.set_difference @t1 @t17) @t189)))) % 0.45/0.89 (assume @p247 (forall @t72 (=> (= @t127 @t36) (and @t195 @t94)))) % 0.45/0.89 (assume @p248 (forall @t6 (=> @t173 (= @t40 (and (= @t180 @t1) (forall @t62 (=> @t35 (= @t232 @t17)))))))) % 0.45/0.89 (assume @p249 (forall @t6 (=> @t3 (= (tptp.apply @t39 @t2) @t2)))) % 0.45/0.89 (assume @p250 (forall @t6 (tptp.subset @t121 @t1))) % 0.45/0.89 (assume @p251 (forall @t11 (=> @t16 (and (= @t123 (tptp.relation_dom @t133)) (= @t54 (tptp.relation_rng @t133)))))) % 0.45/0.89 (assume @p252 (forall @t21 (= (tptp.subset @t26 @t17) (and @t185 @t104)))) % 0.45/0.89 (assume @p253 (forall @t6 (=> @t41 (=> (and @t231 (tptp.subset @t1 @t91)) (= @t222 @t1))))) % 0.45/0.89 (assume @p254 (forall @t6 (= @t233 @t28))) % 0.45/0.89 (assume @p255 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.45/0.89 (assume @p256 (forall @t21 (not (and @t5 @t104 @t35)))) % 0.45/0.89 (assume @p257 (forall @t6 (= @t186 @t43))) % 0.45/0.89 (assume @p258 (forall @t11 (tptp.transitive @t92))) % 0.45/0.89 (assume @p259 (forall @t6 (and (not (and @t235 (forall @t62 (not @t234)))) (not (and (exists @t62 @t234) @t139))))) % 0.45/0.89 (assume @p260 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t85))) % 0.45/0.89 (assume @p261 (forall @t6 (= (tptp.set_difference @t28 @t2) @t121))) % 0.45/0.89 (assume @p262 (forall @t11 (=> @t15 (= @t130 (forall @t75 (=> @t31 (=> @t3 (tptp.in @t192 @t1)))))))) % 0.45/0.89 (assume @p263 (forall @t11 (=> @t15 (and (not (and (not @t130) (forall @t75 (=> @t31 (not @t236))))) (not (and (exists @t75 (and @t31 @t236)) @t130)))))) % 0.45/0.89 (assume @p264 (forall @t6 (=> @t126 (forall @t62 (=> @t158 (= @t238 (tptp.subset @t2 @t237))))))) % 0.45/0.89 (assume @p265 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (tptp.subset @t239 @t54)))))) % 0.45/0.89 (assume @p266 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (tptp.subset @t210 @t197)))))) % 0.45/0.89 (assume @p267 (forall @t6 (=> @t43 (= @t2 @t233)))) % 0.45/0.89 (assume @p268 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> (tptp.subset @t123 @t180) (= @t239 @t54))))))) % 0.45/0.89 (assume @p269 (forall @t6 (=> @t145 (not (and @t99 (= @t143 tptp.empty_set)))))) % 0.45/0.89 (assume @p270 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> (tptp.subset @t54 @t197) (= (tptp.relation_rng @t163) @t123))))))) % 0.45/0.89 (assume @p271 (forall @t6 (=> @t145 (=> @t99 (= (tptp.subset_difference @t1 @t115 @t154) (tptp.meet_of_subsets @t1 @t143)))))) % 0.45/0.89 (assume @p272 (forall @t6 (=> @t145 (=> @t99 (= (tptp.union_of_subsets @t1 @t143) (tptp.subset_difference @t1 @t115 @t156)))))) % 0.45/0.89 (assume @p273 (forall @t6 (= (tptp.set_difference @t1 @t121) @t29))) % 0.45/0.89 (assume @p274 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t138 (=> @t137 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t17)))))))))) % 0.45/0.89 (assume @p275 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.45/0.89 (assume @p276 (forall @t21 (=> (and @t5 @t240) (tptp.element @t1 @t17)))) % 0.45/0.89 (assume @p277 @t242) % 0.45/0.89 (assume @p278 (forall @t6 (and (not (and @t235 (forall @t62 (not @t243)))) (not (and (exists @t62 @t243) @t139))))) % 0.45/0.89 (assume @p279 (forall @t11 (=> @t88 (forall @t75 (=> @t126 (forall @t62 (=> (tptp.element @t17 @t1) (=> @t102 (tptp.in @t17 @t125))))))))) % 0.45/0.89 (assume @p280 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t138 (=> @t137 (and (=> @t117 @t226) (=> @t70 @t228) (=> @t69 @t227) (=> @t64 @t229) (=> @t100 @t230)))))))))) % 0.45/0.89 (assume @p281 (forall @t11 (=> @t59 (=> @t22 (forall @t75 (=> @t173 (= (= @t2 @t147) (and (= @t180 @t123) (forall @t38 (and (=> @t244 @t122) (=> @t122 @t244))))))))))) % 0.45/0.89 (assume @p282 (forall @t21 (=> @t158 (not (and (tptp.in @t2 @t237) @t104))))) % 0.45/0.89 (assume @p283 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t138 (=> (and @t118 @t137) @t231)))))))) % 0.45/0.89 (assume @p284 (forall @t11 (=> @t59 (=> @t22 (and (= @t123 (tptp.relation_dom @t147)) (= @t54 (tptp.relation_rng @t147))))))) % 0.45/0.89 (assume @p285 (forall @t11 (=> @t16 (=> (forall @t52 @t182) @t85)))) % 0.45/0.89 (assume @p286 (forall @t6 (=> @t173 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t197)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t245 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t245 @t2) @t1))))))) % 0.45/0.89 (assume @p287 (forall @t21 (not (and @t5 @t240 (tptp.empty @t17))))) % 0.45/0.89 (assume @p288 (forall @t11 (=> @t16 (= @t100 (tptp.is_well_founded_in @t1 @t63))))) % 0.45/0.89 (assume @p289 (forall @t11 (tptp.antisymmetric @t92))) % 0.45/0.89 (assume @p290 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.45/0.89 (assume @p291 (forall @t6 (not (and @t43 @t7)))) % 0.45/0.89 (assume @p292 (forall @t11 (=> @t59 (=> @t22 (tptp.one_to_one @t147))))) % 0.45/0.89 (assume @p293 (forall @t21 (=> (and @t43 @t238) (tptp.disjoint @t1 @t17)))) % 0.45/0.89 (assume @p294 (forall @t11 (=> @t16 (=> (or @t247 @t246) @t85)))) % 0.45/0.89 (assume @p295 (forall @t11 (=> @t16 (= @t247 @t246)))) % 0.45/0.89 (assume @p296 (forall @t6 (= (= (tptp.set_difference @t1 @t183) @t1) @t4))) % 0.45/0.89 (assume @p297 (forall @t6 (=> @t173 (forall @t62 (=> @t138 (= (= @t2 @t187) (and (= @t180 (tptp.set_intersection2 @t136 @t1)) (forall @t57 (=> (tptp.in @t33 @t180) (= (tptp.apply @t2 @t33) @t134)))))))))) % 0.45/0.89 (assume @p298 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t78))) % 0.45/0.89 (assume @p299 (forall @t11 (=> @t10 @t85))) % 0.45/0.89 (assume @p300 @t249) % 0.45/0.89 (assume @p301 (forall @t6 (=> (tptp.subset @t78 @t183) @t44))) % 0.45/0.89 (assume @p302 (forall @t21 (=> @t138 (=> @t188 @t250)))) % 0.45/0.89 (assume @p303 (forall @t11 (and (= (tptp.relation_dom @t39) @t1) (= (tptp.relation_rng @t39) @t1)))) % 0.45/0.89 (assume @p304 (forall @t21 (=> @t138 (=> @t3 @t250)))) % 0.45/0.89 (assume @p305 (forall @t72 (=> (tptp.relation @t33) (= (tptp.in @t127 (tptp.relation_composition (tptp.identity_relation @t17) @t33)) (and @t185 (tptp.in @t127 @t33)))))) % 0.45/0.89 (assume @p306 (forall @t6 (not (and @t5 @t96)))) % 0.45/0.89 (assume @p307 (forall @t6 (and (= (tptp.pair_first @t127) @t1) (= (tptp.pair_second @t127) @t2)))) % 0.45/0.89 (assume @p308 (forall @t6 (not (and @t5 (forall @t62 (not (and @t80 (forall @t57 (not (and @t48 @t56)))))))))) % 0.45/0.89 (assume @p309 @t253) % 0.45/0.89 (assume @p310 (forall @t6 (tptp.subset @t1 @t28))) % 0.45/0.89 (assume @p311 (forall @t6 (= @t139 (= @t121 @t1)))) % 0.45/0.89 (assume @p312 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_dom @t202)) (and @t5 @t220))))) % 0.45/0.89 (assume @p313 (forall @t6 (=> @t41 (tptp.subset @t214 @t2)))) % 0.45/0.89 (assume @p314 (forall @t6 (not (and @t10 @t146 @t96)))) % 0.45/0.89 (assume @p315 (forall @t21 (=> @t138 (= @t221 (and @t220 (= @t2 @t223)))))) % 0.45/0.89 (assume @p316 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t63) @t118)))) % 0.45/0.89 (assume @p317 (forall @t21 (=> (and @t43 @t107) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 0.45/0.89 (assume @p318 (forall @t21 (=> @t254 @t44))) % 0.45/0.89 (assume @p319 (forall @t6 (=> @t41 (= (tptp.relation_dom @t214) @t206)))) % 0.45/0.89 (assume @p320 (forall @t6 (=> @t41 (= @t214 (tptp.relation_composition @t39 @t2))))) % 0.45/0.89 (assume @p321 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_rng @t214) @t197)))) % 0.45/0.89 (assume @p322 (forall @t11 (= (tptp.union @t93) @t1))) % 0.45/0.89 (assume @p323 (forall @t11 (exists @t75 (and @t5 @t201 (forall @t62 (not (and @t80 (forall @t57 (not (and @t48 (forall @t55 (=> (tptp.subset @t45 @t17) @t71)))))))) @t199)))) % 0.45/0.89 (assume @p324 (forall @t21 (=> @t254 @t73))) % 0.45/0.89 (step @p325 :rule bool-impl-elim :args (@t16 @t119)) % 0.45/0.89 (step @p326 :rule cong :premises (@p325) :args (@t120)) % 0.45/0.89 (step @p327 :rule eq_resolve :premises (@p56 @p326)) % 0.45/0.89 (step @p328 :rule instantiate :premises (@p327) :args ((@list @t256))) % 0.45/0.89 (step @p329 :rule instantiate :premises (@p78) :args (@t257)) % 0.45/0.89 (step @p330 :rule cnf_or_pos :args (@t268)) % 0.45/0.89 (step @p331 :rule reordering :premises (@p330) :args ((or @t267 @t265 (not @t268)))) % 0.45/0.89 (step @p332 :rule chain_m_resolution :premises (@p331 @p329 @p328) :args (@t265 @t269 (@list @t266 @t268))) % 0.45/0.89 (step @p333 :rule bool-impl-elim :args (@t15 @t251)) % 0.45/0.89 (step @p334 :rule cong :premises (@p333) :args (@t252)) % 0.45/0.89 (step @p335 :rule cong :premises (@p334) :args (@t253)) % 0.45/0.89 (step @p336 :rule eq_resolve :premises (@p309 @p335)) % 0.45/0.89 (step @p337 :rule skolemize :premises (@p336)) % 0.45/0.89 (step @p338 :rule cnf_or_neg :args (@t272 1)) % 0.45/0.89 (step @p339 :rule chain_m_resolution :premises (@p338 @p337) :args ((not @t264) @t273 @t274)) % 0.45/0.89 (step @p340 :rule cnf_equiv_pos2 :args (@t265)) % 0.45/0.89 (step @p341 :rule reordering :premises (@p340) :args ((or @t264 @t275 (not @t265)))) % 0.45/0.89 (step @p342 :rule chain_m_resolution :premises (@p341 @p339 @p332) :args (@t275 (@list true false) (@list @t264 @t265))) % 0.45/0.89 (step @p343 :rule instantiate :premises (@p258) :args (@t257)) % 0.45/0.89 (step @p344 :rule instantiate :premises (@p238) :args (@t257)) % 0.45/0.89 (step @p345 :rule instantiate :premises (@p289) :args (@t257)) % 0.45/0.89 (step @p346 :rule bool-impl-elim :args (@t15 @t241)) % 0.45/0.89 (step @p347 :rule cong :premises (@p346) :args (@t242)) % 0.45/0.89 (step @p348 :rule eq_resolve :premises (@p277 @p347)) % 0.45/0.89 (step @p349 :rule instantiate :premises (@p348) :args (@t257)) % 0.45/0.89 (step @p350 :rule bool-double-not-elim :args (@t270)) % 0.45/0.89 (step @p351 :rule refl :args (@t272)) % 0.45/0.89 (step @p352 :rule nary_cong :premises (@p351 @p350) :args ((or @t272 (not @t271)))) % 0.45/0.89 (step @p353 :rule cnf_or_neg :args (@t272 0)) % 0.45/0.89 (step @p354 :rule eq_resolve :premises (@p353 @p352)) % 0.45/0.89 (step @p355 :rule reordering :premises (@p354) :args ((or @t270 @t272))) % 0.45/0.89 (step @p356 :rule chain_m_resolution :premises (@p355 @p337) :args (@t270 @t273 @t274)) % 0.45/0.89 (step @p357 :rule cnf_or_pos :args (@t276)) % 0.45/0.89 (step @p358 :rule reordering :premises (@p357) :args ((or @t271 @t259 (not @t276)))) % 0.45/0.89 (step @p359 :rule chain_m_resolution :premises (@p358 @p356 @p349) :args (@t259 @t269 (@list @t270 @t276))) % 0.45/0.89 (step @p360 :rule bool-impl-elim :args (@t15 @t248)) % 0.45/0.89 (step @p361 :rule cong :premises (@p360) :args (@t249)) % 0.45/0.89 (step @p362 :rule eq_resolve :premises (@p300 @p361)) % 0.45/0.89 (step @p363 :rule instantiate :premises (@p362) :args (@t257)) % 0.45/0.89 (step @p364 :rule cnf_or_pos :args (@t277)) % 0.45/0.89 (step @p365 :rule reordering :premises (@p364) :args ((or @t271 @t258 (not @t277)))) % 0.45/0.89 (step @p366 :rule chain_m_resolution :premises (@p365 @p356 @p363) :args (@t258 @t269 (@list @t270 @t277))) % 0.45/0.89 (step @p367 :rule cnf_and_neg :args (@t263)) % 0.45/0.89 (step @p368 false :rule chain_m_resolution :premises (@p367 @p366 @p359 @p345 @p344 @p343 @p342) :args (false (@list false false false false false true) (@list @t258 @t259 @t260 @t262 @t261 @t263))) % 0.45/0.89 ) % 0.45/0.89 % SZS output end Proof % 0.45/0.89 % cvc5 exiting %------------------------------------------------------------------------------