%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU280+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:14 AM UTC 2026 % Result : Theorem 0.43s 0.78s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU280+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:50:58 EDT 2026 % 0.16/0.35 % CPUTime : % 0.39/0.58 %----Proving TF0_NAR, FOF, or CNF % 0.43/0.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.78 % SZS status Theorem % 0.43/0.78 % SZS output start Proof % 0.43/0.78 ( % 0.43/0.78 (declare-sort $$unsorted 0) % 0.43/0.78 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.empty_set $$unsorted) % 0.43/0.78 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.function (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.78 (define @t1 () (@var "A" $$unsorted)) % 0.43/0.78 (define @t2 () (@var "B" $$unsorted)) % 0.43/0.78 (define @t3 () (tptp.in @t2 @t1)) % 0.43/0.78 (define @t4 () (not @t3)) % 0.43/0.78 (define @t5 () (tptp.in @t1 @t2)) % 0.43/0.78 (define @t6 () (@list @t1 @t2)) % 0.43/0.78 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.43/0.78 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.43/0.78 (define @t9 () (tptp.function @t1)) % 0.43/0.78 (define @t10 () (tptp.empty @t1)) % 0.43/0.78 (define @t11 () (@list @t1)) % 0.43/0.78 (define @t12 () (tptp.epsilon_connected @t1)) % 0.43/0.78 (define @t13 () (tptp.epsilon_transitive @t1)) % 0.43/0.78 (define @t14 () (and @t13 @t12)) % 0.43/0.78 (define @t15 () (tptp.ordinal @t1)) % 0.43/0.78 (define @t16 () (tptp.relation @t1)) % 0.43/0.78 (define @t17 () (@var "C" $$unsorted)) % 0.43/0.78 (define @t18 () (tptp.relation @t17)) % 0.43/0.78 (define @t19 () (tptp.cartesian_product2 @t1 @t2)) % 0.43/0.78 (define @t20 () (tptp.element @t17 (tptp.powerset @t19))) % 0.43/0.78 (define @t21 () (@list @t1 @t2 @t17)) % 0.43/0.78 (define @t22 () (tptp.one_to_one @t1)) % 0.43/0.78 (define @t23 () (and @t16 @t9 @t22)) % 0.43/0.78 (define @t24 () (and @t16 @t10 @t9)) % 0.43/0.78 (define @t25 () (and @t13 @t12 @t15)) % 0.43/0.78 (define @t26 () (tptp.unordered_pair @t1 @t2)) % 0.43/0.78 (define @t27 () (tptp.set_union2 @t2 @t1)) % 0.43/0.78 (define @t28 () (tptp.set_union2 @t1 @t2)) % 0.43/0.78 (define @t29 () (tptp.set_intersection2 @t1 @t2)) % 0.43/0.78 (define @t30 () (tptp.ordinal_subset @t1 @t2)) % 0.43/0.78 (define @t31 () (tptp.ordinal @t2)) % 0.43/0.78 (define @t32 () (and @t15 @t31)) % 0.43/0.78 (define @t33 () (@var "D" $$unsorted)) % 0.43/0.78 (define @t34 () (= @t17 @t33)) % 0.43/0.78 (define @t35 () (tptp.in @t17 @t1)) % 0.43/0.78 (define @t36 () (tptp.ordered_pair @t17 @t33)) % 0.43/0.78 (define @t37 () (tptp.in @t36 @t2)) % 0.43/0.78 (define @t38 () (@list @t17 @t33)) % 0.43/0.78 (define @t39 () (tptp.identity_relation @t1)) % 0.43/0.78 (define @t40 () (= @t2 @t39)) % 0.43/0.78 (define @t41 () (tptp.relation @t2)) % 0.43/0.78 (define @t42 () (tptp.subset @t2 @t1)) % 0.43/0.78 (define @t43 () (tptp.subset @t1 @t2)) % 0.43/0.78 (define @t44 () (= @t1 @t2)) % 0.43/0.78 (define @t45 () (@var "E" $$unsorted)) % 0.43/0.78 (define @t46 () (tptp.ordered_pair @t33 @t45)) % 0.43/0.78 (define @t47 () (tptp.in @t46 @t1)) % 0.43/0.78 (define @t48 () (tptp.in @t33 @t2)) % 0.43/0.78 (define @t49 () (tptp.in @t46 @t17)) % 0.43/0.78 (define @t50 () (@list @t33 @t45)) % 0.43/0.78 (define @t51 () (tptp.relation_dom_restriction @t1 @t2)) % 0.43/0.78 (define @t52 () (@list @t2 @t17)) % 0.43/0.78 (define @t53 () (tptp.in @t45 @t2)) % 0.43/0.78 (define @t54 () (tptp.relation_dom @t1)) % 0.43/0.78 (define @t55 () (@list @t45)) % 0.43/0.78 (define @t56 () (tptp.in @t33 @t17)) % 0.43/0.78 (define @t57 () (@list @t33)) % 0.43/0.78 (define @t58 () (= @t17 (tptp.relation_image @t1 @t2))) % 0.43/0.78 (define @t59 () (and @t16 @t9)) % 0.43/0.78 (define @t60 () (tptp.in @t45 @t1)) % 0.43/0.78 (define @t61 () (tptp.relation_rng_restriction @t1 @t2)) % 0.43/0.78 (define @t62 () (@list @t17)) % 0.43/0.78 (define @t63 () (tptp.relation_field @t1)) % 0.43/0.78 (define @t64 () (tptp.antisymmetric @t1)) % 0.43/0.78 (define @t65 () (tptp.apply @t1 @t33)) % 0.43/0.78 (define @t66 () (tptp.in @t33 @t54)) % 0.43/0.78 (define @t67 () (= @t17 (tptp.relation_inverse_image @t1 @t2))) % 0.43/0.78 (define @t68 () (tptp.ordered_pair @t45 @t33)) % 0.43/0.78 (define @t69 () (tptp.connected @t1)) % 0.43/0.78 (define @t70 () (tptp.transitive @t1)) % 0.43/0.78 (define @t71 () (tptp.in @t45 @t33)) % 0.43/0.78 (define @t72 () (@list @t1 @t2 @t17 @t33)) % 0.43/0.78 (define @t73 () (= @t2 @t17)) % 0.43/0.78 (define @t74 () (= @t1 @t36)) % 0.43/0.78 (define @t75 () (@list @t2)) % 0.43/0.78 (define @t76 () (tptp.ordered_pair @t2 @t17)) % 0.43/0.78 (define @t77 () (exists @t52 (= @t1 @t76))) % 0.43/0.78 (define @t78 () (tptp.singleton @t1)) % 0.43/0.78 (define @t79 () (tptp.succ @t1)) % 0.43/0.78 (define @t80 () (tptp.in @t17 @t2)) % 0.43/0.78 (define @t81 () (tptp.is_reflexive_in @t1 @t2)) % 0.43/0.78 (define @t82 () (tptp.relation_of2 @t17 @t1 @t2)) % 0.43/0.78 (define @t83 () (= @t2 tptp.empty_set)) % 0.43/0.78 (define @t84 () (= @t2 (tptp.set_meet @t1))) % 0.43/0.78 (define @t85 () (= @t1 tptp.empty_set)) % 0.43/0.78 (define @t86 () (tptp.in @t17 @t33)) % 0.43/0.78 (define @t87 () (tptp.in @t33 @t1)) % 0.43/0.78 (define @t88 () (not @t85)) % 0.43/0.78 (define @t89 () (= @t33 @t2)) % 0.43/0.78 (define @t90 () (tptp.subset @t17 @t33)) % 0.43/0.78 (define @t91 () (tptp.relation_field @t2)) % 0.43/0.78 (define @t92 () (tptp.inclusion_relation @t1)) % 0.43/0.78 (define @t93 () (tptp.powerset @t1)) % 0.43/0.78 (define @t94 () (= @t2 @t33)) % 0.43/0.78 (define @t95 () (tptp.in @t36 @t1)) % 0.43/0.78 (define @t96 () (tptp.empty @t2)) % 0.43/0.78 (define @t97 () (tptp.element @t2 @t1)) % 0.43/0.78 (define @t98 () (not @t10)) % 0.43/0.78 (define @t99 () (not @t83)) % 0.43/0.78 (define @t100 () (tptp.well_founded_relation @t1)) % 0.43/0.78 (define @t101 () (@var "F" $$unsorted)) % 0.43/0.78 (define @t102 () (tptp.ordered_pair @t45 @t101)) % 0.43/0.78 (define @t103 () (@list @t45 @t101)) % 0.43/0.78 (define @t104 () (not @t80)) % 0.43/0.78 (define @t105 () (not @t73)) % 0.43/0.78 (define @t106 () (tptp.in @t2 @t17)) % 0.43/0.78 (define @t107 () (forall @t62 (=> @t35 @t80))) % 0.43/0.78 (define @t108 () (= @t17 tptp.empty_set)) % 0.43/0.78 (define @t109 () (tptp.subset @t17 @t2)) % 0.43/0.78 (define @t110 () (tptp.is_well_founded_in @t1 @t2)) % 0.43/0.78 (define @t111 () (tptp.apply @t1 @t2)) % 0.43/0.78 (define @t112 () (= @t17 @t111)) % 0.43/0.78 (define @t113 () (tptp.in @t2 @t54)) % 0.43/0.78 (define @t114 () (tptp.in @t76 @t1)) % 0.43/0.78 (define @t115 () (tptp.in (tptp.ordered_pair @t33 @t17) @t1)) % 0.43/0.78 (define @t116 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.43/0.78 (define @t117 () (tptp.cast_to_subset @t1)) % 0.43/0.78 (define @t118 () (tptp.union @t1)) % 0.43/0.78 (define @t119 () (tptp.reflexive @t1)) % 0.43/0.78 (define @t120 () (tptp.well_ordering @t1)) % 0.43/0.78 (define @t121 () (tptp.relation_rng @t17)) % 0.43/0.78 (define @t122 () (tptp.relation_dom @t17)) % 0.43/0.78 (define @t123 () (tptp.one_to_one @t17)) % 0.43/0.78 (define @t124 () (tptp.function @t17)) % 0.43/0.78 (define @t125 () (tptp.equipotent @t1 @t2)) % 0.43/0.78 (define @t126 () (tptp.set_difference @t1 @t2)) % 0.43/0.78 (define @t127 () (and @t66 (= @t17 @t65))) % 0.43/0.78 (define @t128 () (tptp.relation_rng @t1)) % 0.43/0.78 (define @t129 () (= @t2 @t128)) % 0.43/0.78 (define @t130 () (tptp.subset_complement @t1 @t2)) % 0.43/0.78 (define @t131 () (tptp.element @t2 @t93)) % 0.43/0.78 (define @t132 () (tptp.ordered_pair @t1 @t2)) % 0.43/0.78 (define @t133 () (tptp.is_connected_in @t1 @t2)) % 0.43/0.78 (define @t134 () (tptp.is_transitive_in @t1 @t2)) % 0.43/0.78 (define @t135 () (tptp.being_limit_ordinal @t1)) % 0.43/0.78 (define @t136 () (not @t34)) % 0.43/0.78 (define @t137 () (tptp.cartesian_product2 @t2 @t2)) % 0.43/0.78 (define @t138 () (tptp.relation_restriction @t1 @t2)) % 0.43/0.78 (define @t139 () (tptp.relation_inverse @t1)) % 0.43/0.78 (define @t140 () (tptp.apply @t17 @t45)) % 0.43/0.78 (define @t141 () (tptp.apply @t17 @t33)) % 0.43/0.78 (define @t142 () (tptp.relation_isomorphism @t1 @t2 @t17)) % 0.43/0.78 (define @t143 () (and @t18 @t124)) % 0.43/0.78 (define @t144 () (tptp.disjoint @t1 @t2)) % 0.43/0.78 (define @t145 () (@list @t101)) % 0.43/0.78 (define @t146 () (tptp.relation_composition @t1 @t2)) % 0.43/0.78 (define @t147 () (@list @t17 @t33 @t45)) % 0.43/0.78 (define @t148 () (tptp.complements_of_subsets @t1 @t2)) % 0.43/0.78 (define @t149 () (tptp.powerset @t93)) % 0.43/0.78 (define @t150 () (tptp.element @t2 @t149)) % 0.43/0.78 (define @t151 () (not @t44)) % 0.43/0.78 (define @t152 () (tptp.function_inverse @t1)) % 0.43/0.78 (define @t153 () (tptp.relation @t139)) % 0.43/0.78 (define @t154 () (tptp.relation_dom_as_subset @t1 @t2 @t17)) % 0.43/0.78 (define @t155 () (tptp.relation @t146)) % 0.43/0.78 (define @t156 () (and @t16 @t41)) % 0.43/0.78 (define @t157 () (tptp.powerset @t2)) % 0.43/0.78 (define @t158 () (tptp.relation_rng_as_subset @t1 @t2 @t17)) % 0.43/0.78 (define @t159 () (tptp.union_of_subsets @t1 @t2)) % 0.43/0.78 (define @t160 () (tptp.relation @t39)) % 0.43/0.78 (define @t161 () (tptp.meet_of_subsets @t1 @t2)) % 0.43/0.78 (define @t162 () (tptp.subset_difference @t1 @t2 @t17)) % 0.43/0.78 (define @t163 () (tptp.element @t17 @t93)) % 0.43/0.78 (define @t164 () (and @t131 @t163)) % 0.43/0.78 (define @t165 () (tptp.relation @t51)) % 0.43/0.78 (define @t166 () (tptp.relation @t61)) % 0.43/0.78 (define @t167 () (tptp.relation_of2_as_subset @t17 @t1 @t2)) % 0.43/0.78 (define @t168 () (tptp.relation_composition @t2 @t1)) % 0.43/0.78 (define @t169 () (and @t10 @t41)) % 0.43/0.78 (define @t170 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.43/0.78 (define @t171 () (tptp.relation tptp.empty_set)) % 0.43/0.78 (define @t172 () (tptp.empty tptp.empty_set)) % 0.43/0.78 (define @t173 () (tptp.relation_empty_yielding @t1)) % 0.43/0.78 (define @t174 () (and @t16 @t173)) % 0.43/0.78 (define @t175 () (tptp.function @t2)) % 0.43/0.78 (define @t176 () (not (tptp.empty @t79))) % 0.43/0.78 (define @t177 () (not @t96)) % 0.43/0.78 (define @t178 () (and @t41 @t175)) % 0.43/0.78 (define @t179 () (tptp.empty @t54)) % 0.43/0.78 (define @t180 () (and @t98 @t16)) % 0.43/0.78 (define @t181 () (tptp.empty @t128)) % 0.43/0.78 (define @t182 () (tptp.in @t2 @t63)) % 0.43/0.78 (define @t183 () (tptp.disjoint @t78 @t2)) % 0.43/0.78 (define @t184 () (not @t5)) % 0.43/0.78 (define @t185 () (tptp.relation_dom @t2)) % 0.43/0.78 (define @t186 () (@list @t2 @t17 @t33)) % 0.43/0.78 (define @t187 () (tptp.well_ordering @t2)) % 0.43/0.78 (define @t188 () (tptp.in (tptp.ordered_pair @t17 @t2) @t1)) % 0.43/0.78 (define @t189 () (not @t114)) % 0.43/0.78 (define @t190 () (tptp.singleton @t2)) % 0.43/0.78 (define @t191 () (tptp.union @t2)) % 0.43/0.78 (define @t192 () (tptp.in @t1 @t17)) % 0.43/0.78 (define @t193 () (tptp.element @t1 @t157)) % 0.43/0.78 (define @t194 () (tptp.relation_dom_restriction @t17 @t1)) % 0.43/0.78 (define @t195 () (tptp.in @t2 (tptp.relation_dom @t194))) % 0.43/0.78 (define @t196 () (tptp.set_difference @t2 @t17)) % 0.43/0.78 (define @t197 () (tptp.ordinal @t17)) % 0.43/0.78 (define @t198 () (tptp.apply @t17 @t101)) % 0.43/0.78 (define @t199 () (tptp.in @t101 @t1)) % 0.43/0.78 (define @t200 () (tptp.relation @t33)) % 0.43/0.78 (define @t201 () (and @t41 @t18 @t124)) % 0.43/0.78 (define @t202 () (@var "L" $$unsorted)) % 0.43/0.78 (define @t203 () (@var "K" $$unsorted)) % 0.43/0.78 (define @t204 () (tptp.cartesian_product2 @t1 @t1)) % 0.43/0.78 (define @t205 () (@var "J" $$unsorted)) % 0.43/0.78 (define @t206 () (@var "I" $$unsorted)) % 0.43/0.78 (define @t207 () (= @t33 @t101)) % 0.43/0.78 (define @t208 () (@var "H" $$unsorted)) % 0.43/0.78 (define @t209 () (@var "G" $$unsorted)) % 0.43/0.78 (define @t210 () (tptp.apply @t17 @t209)) % 0.43/0.78 (define @t211 () (= @t33 @t45)) % 0.43/0.78 (define @t212 () (= @t33 @t17)) % 0.43/0.78 (define @t213 () (and @t87 @t212 @t197)) % 0.43/0.78 (define @t214 () (exists @t57 @t213)) % 0.43/0.78 (define @t215 () (= @t80 @t214)) % 0.43/0.78 (define @t216 () (forall @t62 @t215)) % 0.43/0.78 (define @t217 () (exists @t75 @t216)) % 0.43/0.78 (define @t218 () (tptp.ordinal @t33)) % 0.43/0.78 (define @t219 () (and @t73 @t197 @t94 @t218)) % 0.43/0.78 (define @t220 () (forall @t186 (=> @t219 @t34))) % 0.43/0.78 (define @t221 () (=> @t220 @t217)) % 0.43/0.78 (define @t222 () (forall @t11 @t221)) % 0.43/0.78 (define @t223 () (tptp.succ @t2)) % 0.43/0.78 (define @t224 () (and @t35 @t197)) % 0.43/0.78 (define @t225 () (= @t80 @t224)) % 0.43/0.78 (define @t226 () (forall @t62 @t225)) % 0.43/0.78 (define @t227 () (exists @t75 @t226)) % 0.43/0.78 (define @t228 () (forall @t11 @t227)) % 0.43/0.78 (define @t229 () (not @t228)) % 0.43/0.78 (define @t230 () (= @t1 @t17)) % 0.43/0.78 (define @t231 () (tptp.relation_rng @t61)) % 0.43/0.78 (define @t232 () (tptp.relation_rng @t2)) % 0.43/0.78 (define @t233 () (tptp.cartesian_product2 @t1 @t17)) % 0.43/0.78 (define @t234 () (forall @t62 (not (and @t109 (not (tptp.are_equipotent @t17 @t2)) @t104)))) % 0.43/0.78 (define @t235 () (tptp.powerset @t17)) % 0.43/0.78 (define @t236 () (forall @t38 (=> (and @t80 (tptp.subset @t33 @t17)) @t48))) % 0.43/0.78 (define @t237 () (tptp.relation_dom_restriction @t17 @t2)) % 0.43/0.78 (define @t238 () (tptp.relation_image @t2 @t1)) % 0.43/0.78 (define @t239 () (tptp.relation_inverse_image @t2 @t1)) % 0.43/0.78 (define @t240 () (tptp.relation_image @t2 @t239)) % 0.43/0.78 (define @t241 () (tptp.set_intersection2 @t185 @t1)) % 0.43/0.78 (define @t242 () (tptp.subset @t1 @t232)) % 0.43/0.78 (define @t243 () (tptp.relation_of2_as_subset @t33 @t17 @t2)) % 0.43/0.78 (define @t244 () (tptp.relation_of2_as_subset @t33 @t17 @t1)) % 0.43/0.78 (define @t245 () (tptp.relation_rng @t146)) % 0.43/0.78 (define @t246 () (tptp.relation_inverse_image @t17 @t2)) % 0.43/0.78 (define @t247 () (tptp.relation_restriction @t17 @t2)) % 0.43/0.78 (define @t248 () (tptp.relation_restriction @t2 @t1)) % 0.43/0.78 (define @t249 () (tptp.relation_dom_restriction @t2 @t1)) % 0.43/0.78 (define @t250 () (tptp.relation_field @t17)) % 0.43/0.78 (define @t251 () (tptp.in @t1 @t250)) % 0.43/0.78 (define @t252 () (tptp.set_intersection2 @t2 @t17)) % 0.43/0.78 (define @t253 () (tptp.subset @t1 @t17)) % 0.43/0.78 (define @t254 () (tptp.element @t1 @t2)) % 0.43/0.78 (define @t255 () (tptp.in @t1 @t122)) % 0.43/0.78 (define @t256 () (tptp.in @t132 @t17)) % 0.43/0.78 (define @t257 () (tptp.relation_field @t248)) % 0.43/0.78 (define @t258 () (tptp.apply @t17 @t1)) % 0.43/0.78 (define @t259 () (tptp.relation_composition @t17 @t2)) % 0.43/0.78 (define @t260 () (tptp.in @t1 (tptp.relation_dom @t259))) % 0.43/0.78 (define @t261 () (tptp.reflexive @t2)) % 0.43/0.78 (define @t262 () (tptp.connected @t2)) % 0.43/0.78 (define @t263 () (tptp.transitive @t2)) % 0.43/0.78 (define @t264 () (tptp.antisymmetric @t2)) % 0.43/0.78 (define @t265 () (tptp.well_ordering @t248)) % 0.43/0.78 (define @t266 () (= @t257 @t1)) % 0.43/0.78 (define @t267 () (tptp.well_founded_relation @t2)) % 0.43/0.78 (define @t268 () (tptp.apply @t2 @t17)) % 0.43/0.78 (define @t269 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.43/0.78 (define @t270 () (and @t35 @t80)) % 0.43/0.78 (define @t271 () (not @t144)) % 0.43/0.78 (define @t272 () (= @t1 @t223)) % 0.43/0.78 (define @t273 () (tptp.subset_complement @t1 @t17)) % 0.43/0.78 (define @t274 () (tptp.disjoint @t2 @t17)) % 0.43/0.78 (define @t275 () (tptp.relation_dom @t146)) % 0.43/0.78 (define @t276 () (tptp.element @t2 @t235)) % 0.43/0.78 (define @t277 () (tptp.in @t17 @t29)) % 0.43/0.78 (define @t278 () (and (tptp.in @t17 @t128) (= @t33 @t268))) % 0.43/0.78 (define @t279 () (tptp.function_inverse @t2)) % 0.43/0.78 (define @t280 () (= @t128 tptp.empty_set)) % 0.43/0.78 (define @t281 () (= @t54 tptp.empty_set)) % 0.43/0.78 (define @t282 () (= (tptp.apply @t194 @t2) (tptp.apply @t17 @t2))) % 0.43/0.78 (define @t283 () (= @t78 (tptp.unordered_pair @t2 @t17))) % 0.43/0.78 (define @t284 () (and @t197 @t35)) % 0.43/0.78 (define @t285 () (forall @t62 (= @t80 @t284))) % 0.43/0.78 (define @t286 () (not (forall @t75 (not @t285)))) % 0.43/0.78 (define @t287 () (not @t35)) % 0.43/0.78 (define @t288 () (not @t197)) % 0.43/0.78 (define @t289 () (= @t80 (not (or @t288 @t287)))) % 0.43/0.78 (define @t290 () (not (= @t17 @t17))) % 0.43/0.78 (define @t291 () (or @t287 @t290)) % 0.43/0.78 (define @t292 () (not @t87)) % 0.43/0.78 (define @t293 () (or @t136 @t292 @t136)) % 0.43/0.78 (define @t294 () (or @t292 @t136)) % 0.43/0.78 (define @t295 () (forall @t57 @t294)) % 0.43/0.78 (define @t296 () (or @t288 @t295)) % 0.43/0.78 (define @t297 () (or @t288 @t294)) % 0.43/0.78 (define @t298 () (or @t292 @t136 @t288)) % 0.43/0.78 (define @t299 () (and @t87 @t34 @t197)) % 0.43/0.78 (define @t300 () (forall @t57 (not @t299))) % 0.43/0.78 (define @t301 () (not @t300)) % 0.43/0.78 (define @t302 () (not @t218)) % 0.43/0.78 (define @t303 () (or @t288 @t136 @t302 @t34)) % 0.43/0.78 (define @t304 () (or @t290 @t288 @t136 @t302 @t34)) % 0.43/0.78 (define @t305 () (not @t94)) % 0.43/0.78 (define @t306 () (or @t105 @t105 @t288 @t305 @t302 @t34)) % 0.43/0.78 (define @t307 () (or @t105 @t288 @t305 @t302 @t34)) % 0.43/0.78 (define @t308 () (forall @t75 @t307)) % 0.43/0.78 (define @t309 () (forall @t38 @t308)) % 0.43/0.78 (define @t310 () (forall (@list @t17 @t33 @t2) @t307)) % 0.43/0.78 (define @t311 () (or @t105 @t288 @t305 @t302)) % 0.43/0.78 (define @t312 () (not @t226)) % 0.43/0.78 (define @t313 () (forall @t75 @t312)) % 0.43/0.78 (define @t314 () (not @t313)) % 0.43/0.78 (define @t315 () (forall @t11 @t314)) % 0.43/0.78 (define @t316 () (forall @t11 @t286)) % 0.43/0.78 (define @t317 () (@list false)) % 0.43/0.78 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.43/0.78 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.43/0.78 (assume @p3 (forall @t11 (=> @t10 @t9))) % 0.43/0.78 (assume @p4 (forall @t11 (=> @t15 @t14))) % 0.43/0.78 (assume @p5 (forall @t11 (=> @t10 @t16))) % 0.43/0.78 (assume @p6 (forall @t21 (=> @t20 @t18))) % 0.43/0.78 (assume @p7 (forall @t11 (=> @t24 @t23))) % 0.43/0.78 (assume @p8 (forall @t11 (=> @t14 @t15))) % 0.43/0.78 (assume @p9 (forall @t11 (=> @t10 @t25))) % 0.43/0.78 (assume @p10 (forall @t6 (= @t26 (tptp.unordered_pair @t2 @t1)))) % 0.43/0.78 (assume @p11 (forall @t6 (= @t28 @t27))) % 0.43/0.78 (assume @p12 (forall @t6 (= @t29 (tptp.set_intersection2 @t2 @t1)))) % 0.43/0.78 (assume @p13 (forall @t6 (=> @t32 (or @t30 (tptp.ordinal_subset @t2 @t1))))) % 0.43/0.78 (assume @p14 (forall @t6 (=> @t41 (= @t40 (forall @t38 (= @t37 (and @t35 @t34))))))) % 0.43/0.78 (assume @p15 (forall @t6 (= @t44 (and @t43 @t42)))) % 0.43/0.78 (assume @p16 (forall @t11 (=> @t16 (forall @t52 (=> @t18 (= (= @t17 @t51) (forall @t50 (= @t49 (and @t48 @t47))))))))) % 0.43/0.78 (assume @p17 (forall @t11 (=> @t59 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t54) @t53 (= @t33 (tptp.apply @t1 @t45))))))))))) % 0.43/0.78 (assume @p18 (forall @t6 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t61) (forall @t50 (= @t49 (and @t60 (tptp.in @t46 @t2)))))))))) % 0.43/0.78 (assume @p19 (forall @t11 (=> @t16 (= @t64 (tptp.is_antisymmetric_in @t1 @t63))))) % 0.43/0.78 (assume @p20 (forall @t11 (=> @t59 (forall @t52 (= @t67 (forall @t57 (= @t56 (and @t66 (tptp.in @t65 @t2))))))))) % 0.43/0.78 (assume @p21 (forall @t11 (=> @t16 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t68 @t1) @t53))))))))) % 0.43/0.78 (assume @p22 (forall @t11 (=> @t16 (forall @t52 (= @t67 (forall @t57 (= @t56 (exists @t55 (and @t47 @t53))))))))) % 0.43/0.78 (assume @p23 (forall @t11 (=> @t16 (= @t69 (tptp.is_connected_in @t1 @t63))))) % 0.43/0.78 (assume @p24 (forall @t11 (=> @t16 (= @t70 (tptp.is_transitive_in @t1 @t63))))) % 0.43/0.78 (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))))))))) % 0.43/0.78 (assume @p26 (forall @t11 (=> @t77 (forall @t75 (= (= @t2 (tptp.pair_first @t1)) (forall @t38 (=> @t74 @t73))))))) % 0.43/0.78 (assume @p27 (forall @t11 (= @t79 (tptp.set_union2 @t1 @t78)))) % 0.43/0.78 (assume @p28 (forall @t11 (= @t16 (forall @t75 (not (and @t3 (forall @t38 (not (= @t2 @t36))))))))) % 0.43/0.78 (assume @p29 (forall @t11 (=> @t16 (forall @t75 (= @t81 (forall @t62 (=> @t80 (tptp.in (tptp.ordered_pair @t17 @t17) @t1)))))))) % 0.43/0.78 (assume @p30 (forall @t21 (= @t82 (tptp.subset @t17 @t19)))) % 0.43/0.78 (assume @p31 (forall @t6 (and (=> @t88 (= @t84 (forall @t62 (= @t80 (forall @t57 (=> @t87 @t86)))))) (=> @t85 (= @t84 @t83))))) % 0.43/0.78 (assume @p32 (forall @t6 (= (= @t2 @t78) (forall @t62 (= @t80 (= @t17 @t1)))))) % 0.43/0.78 (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))))))))) % 0.43/0.78 (assume @p34 (forall @t6 (=> @t41 (= (= @t2 @t92) (and (= @t91 @t1) (forall @t38 (=> (and @t35 @t87) (= @t37 @t90)))))))) % 0.43/0.78 (assume @p35 (forall @t11 (= @t85 (forall @t75 @t4)))) % 0.43/0.78 (assume @p36 (forall @t6 (= (= @t2 @t93) (forall @t62 (= @t80 (tptp.subset @t17 @t1)))))) % 0.43/0.78 (assume @p37 (forall @t11 (=> @t77 (forall @t75 (= (= @t2 (tptp.pair_second @t1)) (forall @t38 (=> @t74 @t94))))))) % 0.43/0.78 (assume @p38 (forall @t11 (= @t13 (forall @t75 (=> @t3 @t42))))) % 0.43/0.78 (assume @p39 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t44 (forall @t38 (= @t95 @t37)))))))) % 0.43/0.78 (assume @p40 (forall @t6 (and (=> @t98 (= @t97 @t3)) (=> @t10 (= @t97 @t96))))) % 0.43/0.78 (assume @p41 (forall @t21 (= (= @t17 @t26) (forall @t57 (= @t56 (or (= @t33 @t1) @t89)))))) % 0.43/0.78 (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))))))))))) % 0.43/0.78 (assume @p43 (forall @t21 (= (= @t17 @t28) (forall @t57 (= @t56 (or @t87 @t48)))))) % 0.43/0.78 (assume @p44 (forall @t21 (= (= @t17 @t19) (forall @t57 (= @t56 (exists @t103 (and @t60 (tptp.in @t101 @t2) (= @t33 @t102)))))))) % 0.43/0.78 (assume @p45 (forall @t11 (= @t12 (forall @t52 (not (and @t3 @t35 (not @t106) @t105 @t104)))))) % 0.43/0.78 (assume @p46 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t43 (forall @t38 (=> @t95 @t37)))))))) % 0.43/0.78 (assume @p47 (forall @t6 (= @t43 @t107))) % 0.43/0.78 (assume @p48 (forall @t11 (=> @t16 (forall @t75 (= @t110 (forall @t62 (not (and @t109 (not @t108) (forall @t57 (not (and @t56 (tptp.disjoint (tptp.fiber @t1 @t33) @t17)))))))))))) % 0.43/0.78 (assume @p49 (forall @t21 (= (= @t17 @t29) (forall @t57 (= @t56 (and @t87 @t48)))))) % 0.43/0.78 (assume @p50 (forall @t11 (=> @t59 (forall @t52 (and (=> @t113 (= @t112 @t114)) (=> (not @t113) (= @t112 @t108))))))) % 0.43/0.78 (assume @p51 (forall @t11 (= @t15 @t14))) % 0.43/0.78 (assume @p52 (forall @t11 (=> @t16 (forall @t75 (= (= @t2 @t54) (forall @t62 (= @t80 (exists @t57 @t95)))))))) % 0.43/0.78 (assume @p53 (forall @t11 (=> @t16 (forall @t75 (= @t116 (forall @t38 (=> (and @t80 @t48 @t95 @t115) @t34))))))) % 0.43/0.78 (assume @p54 (forall @t11 (= @t117 @t1))) % 0.43/0.78 (assume @p55 (forall @t6 (= (= @t2 @t118) (forall @t62 (= @t80 (exists @t57 (and @t86 @t87))))))) % 0.43/0.78 (assume @p56 (forall @t11 (=> @t16 (= @t120 (and @t119 @t70 @t64 @t69 @t100))))) % 0.43/0.78 (assume @p57 (forall @t6 (= @t125 (exists @t62 (and @t18 @t124 @t123 (= @t122 @t1) (= @t121 @t2)))))) % 0.43/0.78 (assume @p58 (forall @t21 (= (= @t17 @t126) (forall @t57 (= @t56 (and @t87 (not @t48))))))) % 0.43/0.78 (assume @p59 (forall @t11 (=> @t59 (forall @t75 (= @t129 (forall @t62 (= @t80 (exists @t57 @t127)))))))) % 0.43/0.78 (assume @p60 (forall @t11 (=> @t16 (forall @t75 (= @t129 (forall @t62 (= @t80 (exists @t57 @t115)))))))) % 0.43/0.78 (assume @p61 (forall @t6 (=> @t131 (= @t130 @t126)))) % 0.43/0.78 (assume @p62 (forall @t6 (= @t132 (tptp.unordered_pair @t26 @t78)))) % 0.43/0.78 (assume @p63 (forall @t11 (=> @t16 (forall @t75 (= (tptp.well_orders @t1 @t2) (and @t81 @t134 @t116 @t133 @t110)))))) % 0.43/0.78 (assume @p64 (forall @t11 (= @t135 (= @t1 @t118)))) % 0.43/0.78 (assume @p65 (forall @t11 (=> @t16 (= @t63 (tptp.set_union2 @t54 @t128))))) % 0.43/0.78 (assume @p66 (forall @t11 (=> @t16 (forall @t75 (= @t133 (forall @t38 (not (and @t80 @t48 @t136 (not @t95) (not @t115))))))))) % 0.43/0.78 (assume @p67 (forall @t11 (=> @t16 (forall @t75 (= @t138 (tptp.set_intersection2 @t1 @t137)))))) % 0.43/0.78 (assume @p68 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= (= @t2 @t139) (forall @t38 (= @t37 @t115)))))))) % 0.43/0.78 (assume @p69 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t143 (= @t142 (and (= @t122 @t63) (= @t121 @t91) @t123 (forall @t50 (= @t47 (and (tptp.in @t33 @t63) (tptp.in @t45 @t63) (tptp.in (tptp.ordered_pair @t141 @t140) @t2))))))))))))) % 0.43/0.78 (assume @p70 (forall @t6 (= @t144 (= @t29 tptp.empty_set)))) % 0.43/0.78 (assume @p71 (forall @t11 (=> @t59 (= @t22 (forall @t52 (=> (and @t113 (tptp.in @t17 @t54) (= @t111 (tptp.apply @t1 @t17))) @t73)))))) % 0.43/0.78 (assume @p72 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t146) (forall @t50 (= @t49 (exists @t145 (and (tptp.in (tptp.ordered_pair @t33 @t101) @t1) (tptp.in (tptp.ordered_pair @t101 @t45) @t2))))))))))))) % 0.43/0.78 (assume @p73 (forall @t11 (=> @t16 (forall @t75 (= @t134 (forall @t147 (=> (and @t80 @t48 @t53 @t95 @t47) (tptp.in (tptp.ordered_pair @t17 @t45) @t1)))))))) % 0.43/0.78 (assume @p74 (forall @t6 (=> @t150 (forall @t62 (=> (tptp.element @t17 @t149) (= (= @t17 @t148) (forall @t57 (=> (tptp.element @t33 @t93) (= @t56 (tptp.in (tptp.subset_complement @t1 @t33) @t2)))))))))) % 0.43/0.78 (assume @p75 (forall @t6 (= @t8 (and @t43 @t151)))) % 0.43/0.78 (assume @p76 (forall @t11 (=> @t59 (=> @t22 (= @t152 @t139))))) % 0.43/0.78 (assume @p77 (forall @t11 (=> @t16 (= @t119 (tptp.is_reflexive_in @t1 @t63))))) % 0.43/0.78 (assume @p78 true) % 0.43/0.78 (assume @p79 (forall @t11 (tptp.relation @t92))) % 0.43/0.78 (assume @p80 (forall @t11 (=> @t59 (and (tptp.relation @t152) (tptp.function @t152))))) % 0.43/0.78 (assume @p81 (forall @t11 (tptp.element @t117 @t93))) % 0.43/0.78 (assume @p82 (forall @t6 (=> @t16 (tptp.relation @t138)))) % 0.43/0.78 (assume @p83 (forall @t6 (=> @t131 (tptp.element @t130 @t93)))) % 0.43/0.78 (assume @p84 (forall @t11 (=> @t16 @t153))) % 0.43/0.78 (assume @p85 (forall @t21 (=> @t82 (tptp.element @t154 @t93)))) % 0.43/0.78 (assume @p86 (forall @t6 (=> @t156 @t155))) % 0.43/0.78 (assume @p87 (forall @t21 (=> @t82 (tptp.element @t158 @t157)))) % 0.43/0.78 (assume @p88 (forall @t6 (=> @t150 (tptp.element @t159 @t93)))) % 0.43/0.78 (assume @p89 (forall @t11 @t160)) % 0.43/0.78 (assume @p90 (forall @t6 (=> @t150 (tptp.element @t161 @t93)))) % 0.43/0.78 (assume @p91 (forall @t21 (=> @t164 (tptp.element @t162 @t93)))) % 0.43/0.78 (assume @p92 (forall @t6 (=> @t16 @t165))) % 0.43/0.78 (assume @p93 (forall @t6 (=> @t150 (tptp.element @t148 @t149)))) % 0.43/0.78 (assume @p94 (forall @t6 (=> @t41 @t166))) % 0.43/0.78 (assume @p95 (forall @t21 (=> @t167 @t20))) % 0.43/0.78 (assume @p96 (forall @t6 (exists @t62 @t82))) % 0.43/0.78 (assume @p97 (forall @t11 (exists @t75 @t97))) % 0.43/0.78 (assume @p98 (forall @t6 (exists @t62 @t167))) % 0.43/0.78 (assume @p99 (forall @t6 (=> @t169 (and (tptp.empty @t168) (tptp.relation @t168))))) % 0.43/0.78 (assume @p100 (forall @t11 (=> @t10 (and (tptp.empty @t139) @t153)))) % 0.43/0.78 (assume @p101 (and @t172 @t171 @t170)) % 0.43/0.78 (assume @p102 (forall @t6 (=> @t174 (and @t165 (tptp.relation_empty_yielding @t51))))) % 0.43/0.78 (assume @p103 (forall @t6 (=> (and @t16 @t9 @t41 @t175) (and @t155 (tptp.function @t146))))) % 0.43/0.78 (assume @p104 (forall @t11 @t176)) % 0.43/0.78 (assume @p105 (forall @t6 (=> @t156 (tptp.relation @t29)))) % 0.43/0.78 (assume @p106 (forall @t11 (not (tptp.empty @t93)))) % 0.43/0.78 (assume @p107 @t172) % 0.43/0.78 (assume @p108 (forall @t6 (not (tptp.empty @t132)))) % 0.43/0.78 (assume @p109 (forall @t11 (and @t160 (tptp.function @t39)))) % 0.43/0.78 (assume @p110 (and @t171 @t170 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t172 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.43/0.78 (assume @p111 (forall @t6 (=> @t156 (tptp.relation @t28)))) % 0.43/0.78 (assume @p112 (forall @t11 (not (tptp.empty @t78)))) % 0.43/0.78 (assume @p113 (forall @t6 (=> @t98 (not (tptp.empty @t28))))) % 0.43/0.78 (assume @p114 (forall @t11 (=> @t23 (and @t153 (tptp.function @t139))))) % 0.43/0.78 (assume @p115 (forall @t11 (=> @t15 (and @t176 (tptp.epsilon_transitive @t79) (tptp.epsilon_connected @t79) (tptp.ordinal @t79))))) % 0.43/0.78 (assume @p116 (forall @t6 (=> @t156 (tptp.relation @t126)))) % 0.43/0.78 (assume @p117 (forall @t6 (not (tptp.empty @t26)))) % 0.43/0.78 (assume @p118 (forall @t6 (=> @t98 (not (tptp.empty @t27))))) % 0.43/0.78 (assume @p119 (forall @t6 (=> @t59 (and @t165 (tptp.function @t51))))) % 0.43/0.78 (assume @p120 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t118) (tptp.epsilon_connected @t118) (tptp.ordinal @t118))))) % 0.43/0.78 (assume @p121 (and @t172 @t171)) % 0.43/0.78 (assume @p122 (forall @t6 (=> (and @t98 @t177) (not (tptp.empty @t19))))) % 0.43/0.78 (assume @p123 (forall @t6 (=> @t178 (and @t166 (tptp.function @t61))))) % 0.43/0.78 (assume @p124 (forall @t11 (=> @t180 (not @t179)))) % 0.43/0.78 (assume @p125 (forall @t11 (=> @t180 (not @t181)))) % 0.43/0.78 (assume @p126 (forall @t11 (=> @t10 (and @t179 (tptp.relation @t54))))) % 0.43/0.78 (assume @p127 (forall @t11 (=> @t10 (and @t181 (tptp.relation @t128))))) % 0.43/0.78 (assume @p128 (forall @t6 (=> @t169 (and (tptp.empty @t146) @t155)))) % 0.43/0.78 (assume @p129 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.43/0.78 (assume @p130 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.43/0.78 (assume @p131 (forall @t6 (=> @t131 (= (tptp.subset_complement @t1 @t130) @t2)))) % 0.43/0.78 (assume @p132 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t139) @t1)))) % 0.43/0.78 (assume @p133 (forall @t6 (=> @t150 (= (tptp.complements_of_subsets @t1 @t148) @t2)))) % 0.43/0.78 (assume @p134 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.43/0.78 (assume @p135 (forall @t11 (=> @t16 (= @t119 (forall @t75 (=> @t182 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 0.43/0.78 (assume @p136 (forall @t11 (not (= @t78 tptp.empty_set)))) % 0.43/0.78 (assume @p137 (forall @t6 (=> @t5 (= (tptp.set_union2 @t78 @t2) @t2)))) % 0.43/0.78 (assume @p138 (forall @t6 (not (and @t183 @t5)))) % 0.43/0.78 (assume @p139 (forall @t6 (=> @t184 @t183))) % 0.43/0.78 (assume @p140 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_dom @t61) @t185)))) % 0.43/0.78 (assume @p141 (forall @t11 (=> @t16 (= @t70 (forall @t186 (=> (and @t114 @t95) (tptp.in (tptp.ordered_pair @t2 @t33) @t1))))))) % 0.43/0.78 (assume @p142 (forall @t6 (= (tptp.subset @t78 @t2) @t5))) % 0.43/0.78 (assume @p143 (forall @t6 (=> @t41 (not (and @t187 (tptp.equipotent @t1 @t91) (forall @t62 (=> @t18 (not (tptp.well_orders @t17 @t1))))))))) % 0.43/0.78 (assume @p144 (forall @t6 (= (= @t126 tptp.empty_set) @t43))) % 0.43/0.78 (assume @p145 (forall @t6 (=> @t131 (forall @t62 (=> @t80 @t35))))) % 0.43/0.78 (assume @p146 (forall @t11 (=> @t16 (= @t64 (forall @t52 (=> (and @t114 @t188) @t73)))))) % 0.43/0.78 (assume @p147 (forall @t21 (=> @t43 (or @t35 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t17))))))) % 0.43/0.78 (assume @p148 (forall @t11 (=> @t16 (= @t69 (forall @t52 (not (and @t182 (tptp.in @t17 @t63) @t105 @t189 (not @t188)))))))) % 0.43/0.78 (assume @p149 (forall @t6 (= (tptp.subset @t1 @t190) (or @t85 (= @t1 @t190))))) % 0.43/0.78 (assume @p150 (forall @t6 (=> @t5 (tptp.subset @t1 @t191)))) % 0.43/0.78 (assume @p151 (forall @t72 (= (tptp.in @t132 (tptp.cartesian_product2 @t17 @t33)) (and @t192 (tptp.in @t2 @t33))))) % 0.43/0.78 (assume @p152 (forall @t6 (=> @t107 @t193))) % 0.43/0.78 (assume @p153 (forall @t21 (=> @t143 (= @t195 (and (tptp.in @t2 @t122) @t3))))) % 0.43/0.78 (assume @p154 (exists @t11 @t59)) % 0.43/0.78 (assume @p155 (exists @t11 @t25)) % 0.43/0.78 (assume @p156 (exists @t11 (and @t10 @t16))) % 0.43/0.78 (assume @p157 (forall @t11 (=> @t98 (exists @t75 (and @t131 @t177))))) % 0.43/0.78 (assume @p158 (exists @t11 @t10)) % 0.43/0.78 (assume @p159 (exists @t11 @t24)) % 0.43/0.78 (assume @p160 (exists @t11 (and @t16 @t9 @t22 @t10 @t13 @t12 @t15))) % 0.43/0.78 (assume @p161 (exists @t11 @t180)) % 0.43/0.78 (assume @p162 (forall @t11 (exists @t75 (and @t131 @t96)))) % 0.43/0.78 (assume @p163 (exists @t11 @t98)) % 0.43/0.78 (assume @p164 (exists @t11 @t23)) % 0.43/0.78 (assume @p165 (exists @t11 (and @t98 @t13 @t12 @t15))) % 0.43/0.78 (assume @p166 (exists @t11 @t174)) % 0.43/0.78 (assume @p167 (exists @t11 (and @t16 @t173 @t9))) % 0.43/0.78 (assume @p168 (forall @t21 (=> @t82 (= @t154 @t122)))) % 0.43/0.78 (assume @p169 (forall @t21 (=> @t82 (= @t158 @t121)))) % 0.43/0.78 (assume @p170 (forall @t6 (=> @t150 (= @t159 @t191)))) % 0.43/0.78 (assume @p171 (forall @t6 (=> @t150 (= @t161 (tptp.set_meet @t2))))) % 0.43/0.78 (assume @p172 (forall @t21 (=> @t164 (= @t162 @t196)))) % 0.43/0.78 (assume @p173 (forall @t21 (= @t167 @t82))) % 0.43/0.78 (assume @p174 (forall @t6 (=> @t32 (= @t30 @t43)))) % 0.43/0.78 (assume @p175 (forall @t6 (= @t125 (tptp.are_equipotent @t1 @t2)))) % 0.43/0.78 (assume @p176 (forall @t6 (=> @t32 (tptp.ordinal_subset @t1 @t1)))) % 0.43/0.78 (assume @p177 (forall @t6 (tptp.subset @t1 @t1))) % 0.43/0.78 (assume @p178 (forall @t6 (tptp.equipotent @t1 @t1))) % 0.43/0.78 (assume @p179 (forall @t11 (=> (exists @t75 (and @t31 @t3)) (exists @t75 (and @t31 @t3 (forall @t62 (=> @t197 (=> @t35 (tptp.ordinal_subset @t2 @t17))))))))) % 0.43/0.78 (assume @p180 (forall @t21 (=> @t201 (exists @t57 (and @t200 (forall @t103 (= (tptp.in @t102 @t33) (and @t60 @t199 (tptp.in (tptp.ordered_pair @t140 @t198) @t2))))))))) % 0.43/0.78 (assume @p181 (forall @t21 (=> @t201 (=> (forall (@list @t33 @t45 @t101) (=> (and @t211 (exists (@list @t209 @t208) (and (= @t45 (tptp.ordered_pair @t209 @t208)) (tptp.in (tptp.ordered_pair @t210 (tptp.apply @t17 @t208)) @t2))) @t207 (exists (@list @t206 @t205) (and (= @t101 (tptp.ordered_pair @t206 @t205)) (tptp.in (tptp.ordered_pair (tptp.apply @t17 @t206) (tptp.apply @t17 @t205)) @t2)))) (= @t45 @t101))) (exists @t57 (forall @t55 (= @t71 (exists @t145 (and (tptp.in @t101 @t204) (= @t101 @t45) (exists (@list @t203 @t202) (and (= @t45 (tptp.ordered_pair @t203 @t202)) (tptp.in (tptp.ordered_pair (tptp.apply @t17 @t203) (tptp.apply @t17 @t202)) @t2)))))))))))) % 0.43/0.78 (assume @p182 @t222) % 0.43/0.78 (assume @p183 (forall @t6 (=> @t31 (=> (forall @t147 (=> (and @t34 (exists @t145 (and (tptp.ordinal @t101) @t207 @t199)) (= @t17 @t45) (exists (@list @t209) (and (tptp.ordinal @t209) (= @t45 @t209) (tptp.in @t209 @t1)))) @t211)) (exists @t62 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t223) (= @t45 @t33) (exists (@list @t208) (and (tptp.ordinal @t208) (= @t33 @t208) (tptp.in @t208 @t1)))))))))))) % 0.43/0.78 (assume @p184 (forall @t21 (=> @t201 (exists @t57 (forall @t55 (= @t71 (and (tptp.in @t45 @t204) (exists (@list @t101 @t209) (and (= @t45 (tptp.ordered_pair @t101 @t209)) (tptp.in (tptp.ordered_pair @t198 @t210) @t2)))))))))) % 0.43/0.78 (assume @p185 @t229) % 0.43/0.78 (assume @p186 (forall @t6 (=> @t31 (exists @t62 (forall @t57 (= @t56 (and (tptp.in @t33 @t223) (exists @t55 (and (tptp.ordinal @t45) @t211 @t60))))))))) % 0.43/0.78 (assume @p187 (forall @t6 (=> @t144 (tptp.disjoint @t2 @t1)))) % 0.43/0.78 (assume @p188 (forall @t6 (=> @t125 (tptp.equipotent @t2 @t1)))) % 0.43/0.78 (assume @p189 (forall @t11 (tptp.in @t1 @t79))) % 0.43/0.78 (assume @p190 (forall @t72 (not (and (= @t26 (tptp.unordered_pair @t17 @t33)) (not @t230) (not (= @t1 @t33)))))) % 0.43/0.78 (assume @p191 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t121)))))) % 0.43/0.78 (assume @p192 (forall @t6 (=> @t41 (tptp.subset @t231 @t1)))) % 0.43/0.78 (assume @p193 (forall @t6 (=> @t41 (tptp.subset @t61 @t2)))) % 0.43/0.78 (assume @p194 (forall @t6 (=> @t41 (tptp.subset @t231 @t232)))) % 0.43/0.78 (assume @p195 (forall @t21 (=> @t43 (and (tptp.subset @t233 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 0.43/0.78 (assume @p196 (forall @t6 (=> @t41 (= @t231 (tptp.set_intersection2 @t232 @t1))))) % 0.43/0.78 (assume @p197 (forall @t72 (=> (and @t43 @t90) (tptp.subset @t233 (tptp.cartesian_product2 @t2 @t33))))) % 0.43/0.78 (assume @p198 (forall @t21 (=> @t167 (and (tptp.subset @t122 @t1) (tptp.subset @t121 @t2))))) % 0.43/0.78 (assume @p199 (forall @t6 (=> @t43 (= @t28 @t2)))) % 0.43/0.78 (assume @p200 (forall @t11 (exists @t75 (and @t5 @t236 (forall @t62 (=> @t80 (tptp.in @t235 @t2))) @t234)))) % 0.43/0.78 (assume @p201 (forall @t21 (=> @t18 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t237))))) % 0.43/0.78 (assume @p202 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_image @t17 @t2)) (exists @t57 (and (tptp.in @t33 @t122) (tptp.in (tptp.ordered_pair @t33 @t1) @t17) @t48)))))) % 0.43/0.78 (assume @p203 (forall @t6 (=> @t41 (tptp.subset @t238 @t232)))) % 0.43/0.78 (assume @p204 (forall @t6 (=> @t178 (tptp.subset @t240 @t1)))) % 0.43/0.78 (assume @p205 (forall @t6 (=> @t41 (= @t238 (tptp.relation_image @t2 @t241))))) % 0.43/0.78 (assume @p206 (forall @t6 (=> @t41 (=> (tptp.subset @t1 @t185) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t238)))))) % 0.43/0.78 (assume @p207 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t54) @t128)))) % 0.43/0.78 (assume @p208 (forall @t6 (=> @t178 (=> @t242 (= @t240 @t1))))) % 0.43/0.78 (assume @p209 (forall @t72 (=> @t244 (=> (tptp.subset (tptp.relation_rng @t33) @t2) @t243)))) % 0.43/0.78 (assume @p210 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t245 (tptp.relation_image @t2 @t128))))))) % 0.43/0.78 (assume @p211 (forall @t21 (=> @t18 (= (tptp.in @t1 @t246) (exists @t57 (and (tptp.in @t33 @t121) (tptp.in (tptp.ordered_pair @t1 @t33) @t17) @t48)))))) % 0.43/0.78 (assume @p212 (forall @t6 (=> @t41 (tptp.subset @t239 @t185)))) % 0.43/0.78 (assume @p213 (forall @t72 (=> @t244 (=> @t43 @t243)))) % 0.43/0.78 (assume @p214 (forall @t21 (=> @t18 (= (tptp.in @t1 @t247) (and @t192 (tptp.in @t1 @t137)))))) % 0.43/0.78 (assume @p215 (forall @t6 (=> @t41 (not (and @t88 @t242 (= @t239 tptp.empty_set)))))) % 0.43/0.78 (assume @p216 (forall @t21 (=> @t18 (=> @t43 (tptp.subset (tptp.relation_inverse_image @t17 @t1) @t246))))) % 0.43/0.78 (assume @p217 (forall @t6 (=> @t41 (= @t248 (tptp.relation_dom_restriction @t61 @t1))))) % 0.43/0.78 (assume @p218 (forall @t6 (tptp.subset @t29 @t1))) % 0.43/0.78 (assume @p219 (forall @t6 (=> @t41 (= @t248 (tptp.relation_rng_restriction @t1 @t249))))) % 0.43/0.78 (assume @p220 (forall @t21 (=> @t18 (=> (tptp.in @t1 (tptp.relation_field @t247)) (and @t251 @t5))))) % 0.43/0.78 (assume @p221 (forall @t21 (=> (and @t43 @t253) (tptp.subset @t1 @t252)))) % 0.43/0.78 (assume @p222 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.43/0.78 (assume @p223 (forall @t6 (=> @t5 @t254))) % 0.43/0.78 (assume @p224 (forall @t21 (=> (and @t43 (tptp.subset @t2 @t17)) @t253))) % 0.43/0.78 (assume @p225 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 0.43/0.78 (assume @p226 (forall @t21 (=> @t18 (=> @t256 (and @t255 (tptp.in @t2 @t121)))))) % 0.43/0.78 (assume @p227 (forall @t6 (=> @t41 (and (tptp.subset @t257 @t91) (tptp.subset @t257 @t1))))) % 0.43/0.78 (assume @p228 (forall @t6 (=> @t178 (forall @t62 (=> @t143 (= @t260 (and @t255 (tptp.in @t258 @t185)))))))) % 0.43/0.78 (assume @p229 (forall @t11 (=> @t13 (forall @t75 (=> @t31 (=> @t8 @t5)))))) % 0.43/0.78 (assume @p230 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t54 @t128))))) % 0.43/0.78 (assume @p231 (forall @t21 (=> @t18 (tptp.subset (tptp.fiber (tptp.relation_restriction @t17 @t1) @t2) (tptp.fiber @t17 @t2))))) % 0.43/0.78 (assume @p232 (forall @t6 (=> @t178 (forall @t62 (=> @t143 (=> @t260 (= (tptp.apply @t259 @t1) (tptp.apply @t2 @t258)))))))) % 0.43/0.78 (assume @p233 (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))))) % 0.43/0.78 (assume @p234 (forall @t6 (=> @t41 (=> @t261 (tptp.reflexive @t248))))) % 0.43/0.78 (assume @p235 (forall @t6 (=> @t178 (forall @t62 (=> @t143 (=> (tptp.in @t1 @t185) (= (tptp.apply (tptp.relation_composition @t2 @t17) @t1) (tptp.apply @t17 (tptp.apply @t2 @t1))))))))) % 0.43/0.78 (assume @p236 (forall @t6 (=> @t31 (=> @t5 @t15)))) % 0.43/0.78 (assume @p237 (forall @t21 (=> @t167 (= (forall @t57 (not (and @t48 (forall @t55 (not (tptp.in @t68 @t17)))))) (= @t158 @t2))))) % 0.43/0.78 (assume @p238 (forall @t6 (=> @t41 (=> @t262 (tptp.connected @t248))))) % 0.43/0.78 (assume @p239 (forall @t11 (=> @t15 (forall @t75 (=> @t31 (not (and @t184 @t151 @t4))))))) % 0.43/0.78 (assume @p240 (forall @t6 (=> @t41 (=> @t263 (tptp.transitive @t248))))) % 0.43/0.78 (assume @p241 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> @t43 (and (tptp.subset @t54 @t185) (tptp.subset @t128 @t232)))))))) % 0.43/0.78 (assume @p242 (forall @t6 (=> @t41 (=> @t264 (tptp.antisymmetric @t248))))) % 0.43/0.78 (assume @p243 (forall @t6 (=> @t41 (=> (tptp.well_orders @t2 @t1) (and @t266 @t265))))) % 0.43/0.78 (assume @p244 (forall @t21 (=> @t43 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t252)))) % 0.43/0.78 (assume @p245 (forall @t6 (=> @t43 (= @t29 @t1)))) % 0.43/0.78 (assume @p246 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.43/0.78 (assume @p247 (forall @t6 (=> @t254 (or @t96 @t5)))) % 0.43/0.78 (assume @p248 (forall @t6 (=> (forall @t62 (= @t35 @t80)) @t44))) % 0.43/0.78 (assume @p249 (forall @t11 (tptp.reflexive @t92))) % 0.43/0.78 (assume @p250 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 0.43/0.78 (assume @p251 (forall @t21 (=> @t18 (=> @t256 (and @t251 (tptp.in @t2 @t250)))))) % 0.43/0.78 (assume @p252 (forall @t11 (=> (forall @t75 (=> @t3 (and @t31 @t42))) @t15))) % 0.43/0.78 (assume @p253 (forall @t6 (=> @t41 (=> @t267 (tptp.well_founded_relation @t248))))) % 0.43/0.78 (assume @p254 (forall @t6 (=> @t31 (not (and @t43 @t88 (forall @t62 (=> @t197 (not (and @t35 (forall @t57 (=> @t218 (=> @t87 (tptp.ordinal_subset @t17 @t33))))))))))))) % 0.43/0.78 (assume @p255 (forall @t6 (=> @t41 (=> @t187 @t265)))) % 0.43/0.78 (assume @p256 (forall @t11 (=> @t15 (forall @t75 (=> @t31 (= @t5 (tptp.ordinal_subset @t79 @t2))))))) % 0.43/0.78 (assume @p257 (forall @t21 (=> @t43 (tptp.subset (tptp.set_difference @t1 @t17) @t196)))) % 0.43/0.78 (assume @p258 (forall @t72 (=> (= @t132 @t36) (and @t230 @t94)))) % 0.43/0.78 (assume @p259 (forall @t6 (=> @t178 (= @t40 (and (= @t185 @t1) (forall @t62 (=> @t35 (= @t268 @t17)))))))) % 0.43/0.78 (assume @p260 (forall @t6 (=> @t3 (= (tptp.apply @t39 @t2) @t2)))) % 0.43/0.78 (assume @p261 (forall @t6 (tptp.subset @t126 @t1))) % 0.43/0.78 (assume @p262 (forall @t11 (=> @t16 (and (= @t128 (tptp.relation_dom @t139)) (= @t54 (tptp.relation_rng @t139)))))) % 0.43/0.78 (assume @p263 (forall @t21 (= (tptp.subset @t26 @t17) (and @t192 @t106)))) % 0.43/0.78 (assume @p264 (forall @t6 (=> @t41 (=> (and @t187 (tptp.subset @t1 @t91)) @t266)))) % 0.43/0.78 (assume @p265 (forall @t6 (= @t269 @t28))) % 0.43/0.78 (assume @p266 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.43/0.78 (assume @p267 (forall @t21 (not (and @t5 @t106 @t35)))) % 0.43/0.78 (assume @p268 (forall @t6 (= @t193 @t43))) % 0.43/0.78 (assume @p269 (forall @t11 (tptp.transitive @t92))) % 0.43/0.78 (assume @p270 (forall @t6 (and (not (and @t271 (forall @t62 (not @t270)))) (not (and (exists @t62 @t270) @t144))))) % 0.43/0.78 (assume @p271 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t85))) % 0.43/0.78 (assume @p272 (forall @t6 (= (tptp.set_difference @t28 @t2) @t126))) % 0.43/0.78 (assume @p273 (forall @t11 (=> @t15 (= @t135 (forall @t75 (=> @t31 (=> @t3 (tptp.in @t223 @t1)))))))) % 0.43/0.78 (assume @p274 (forall @t11 (=> @t15 (and (not (and (not @t135) (forall @t75 (=> @t31 (not @t272))))) (not (and (exists @t75 (and @t31 @t272)) @t135)))))) % 0.43/0.78 (assume @p275 (forall @t6 (=> @t131 (forall @t62 (=> @t163 (= @t274 (tptp.subset @t2 @t273))))))) % 0.43/0.78 (assume @p276 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (tptp.subset @t275 @t54)))))) % 0.43/0.78 (assume @p277 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (tptp.subset @t245 @t232)))))) % 0.43/0.78 (assume @p278 (forall @t6 (=> @t43 (= @t2 @t269)))) % 0.43/0.78 (assume @p279 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> (tptp.subset @t128 @t185) (= @t275 @t54))))))) % 0.43/0.78 (assume @p280 (forall @t6 (=> @t150 (not (and @t99 (= @t148 tptp.empty_set)))))) % 0.43/0.78 (assume @p281 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> (tptp.subset @t54 @t232) (= (tptp.relation_rng @t168) @t128))))))) % 0.43/0.78 (assume @p282 (forall @t6 (=> @t150 (=> @t99 (= (tptp.subset_difference @t1 @t117 @t159) (tptp.meet_of_subsets @t1 @t148)))))) % 0.43/0.78 (assume @p283 (forall @t6 (=> @t150 (=> @t99 (= (tptp.union_of_subsets @t1 @t148) (tptp.subset_difference @t1 @t117 @t161)))))) % 0.43/0.78 (assume @p284 (forall @t6 (= (tptp.set_difference @t1 @t126) @t29))) % 0.43/0.78 (assume @p285 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t143 (=> @t142 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t17)))))))))) % 0.43/0.78 (assume @p286 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.43/0.78 (assume @p287 (forall @t21 (=> (and @t5 @t276) (tptp.element @t1 @t17)))) % 0.43/0.78 (assume @p288 (forall @t11 (=> @t15 (tptp.connected @t92)))) % 0.43/0.78 (assume @p289 (forall @t6 (and (not (and @t271 (forall @t62 (not @t277)))) (not (and (exists @t62 @t277) @t144))))) % 0.43/0.78 (assume @p290 (forall @t11 (=> @t88 (forall @t75 (=> @t131 (forall @t62 (=> (tptp.element @t17 @t1) (=> @t104 (tptp.in @t17 @t130))))))))) % 0.43/0.78 (assume @p291 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t143 (=> @t142 (and (=> @t119 @t261) (=> @t70 @t263) (=> @t69 @t262) (=> @t64 @t264) (=> @t100 @t267)))))))))) % 0.43/0.78 (assume @p292 (forall @t11 (=> @t59 (=> @t22 (forall @t75 (=> @t178 (= (= @t2 @t152) (and (= @t185 @t128) (forall @t38 (and (=> @t278 @t127) (=> @t127 @t278))))))))))) % 0.43/0.78 (assume @p293 (forall @t21 (=> @t163 (not (and (tptp.in @t2 @t273) @t106))))) % 0.43/0.78 (assume @p294 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t143 (=> (and @t120 @t142) @t187)))))))) % 0.43/0.78 (assume @p295 (forall @t11 (=> @t59 (=> @t22 (and (= @t128 (tptp.relation_dom @t152)) (= @t54 (tptp.relation_rng @t152))))))) % 0.43/0.78 (assume @p296 (forall @t11 (=> @t16 (=> (forall @t52 @t189) @t85)))) % 0.43/0.78 (assume @p297 (forall @t6 (=> @t178 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t232)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t279 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t279 @t2) @t1))))))) % 0.43/0.78 (assume @p298 (forall @t21 (not (and @t5 @t276 (tptp.empty @t17))))) % 0.43/0.78 (assume @p299 (forall @t11 (=> @t16 (= @t100 (tptp.is_well_founded_in @t1 @t63))))) % 0.43/0.78 (assume @p300 (forall @t11 (tptp.antisymmetric @t92))) % 0.43/0.78 (assume @p301 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.43/0.78 (assume @p302 (forall @t6 (not (and @t43 @t7)))) % 0.43/0.78 (assume @p303 (forall @t11 (=> @t59 (=> @t22 (tptp.one_to_one @t152))))) % 0.43/0.78 (assume @p304 (forall @t21 (=> (and @t43 @t274) (tptp.disjoint @t1 @t17)))) % 0.43/0.78 (assume @p305 (forall @t11 (=> @t16 (=> (or @t281 @t280) @t85)))) % 0.43/0.78 (assume @p306 (forall @t11 (=> @t16 (= @t281 @t280)))) % 0.43/0.78 (assume @p307 (forall @t6 (= (= (tptp.set_difference @t1 @t190) @t1) @t4))) % 0.43/0.78 (assume @p308 (forall @t6 (=> @t178 (forall @t62 (=> @t143 (= (= @t2 @t194) (and (= @t185 (tptp.set_intersection2 @t122 @t1)) (forall @t57 (=> (tptp.in @t33 @t185) (= (tptp.apply @t2 @t33) @t141)))))))))) % 0.43/0.78 (assume @p309 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t78))) % 0.43/0.78 (assume @p310 (forall @t11 (=> @t10 @t85))) % 0.43/0.78 (assume @p311 (forall @t11 (=> @t15 (tptp.well_founded_relation @t92)))) % 0.43/0.78 (assume @p312 (forall @t6 (=> (tptp.subset @t78 @t190) @t44))) % 0.43/0.78 (assume @p313 (forall @t21 (=> @t143 (=> @t195 @t282)))) % 0.43/0.78 (assume @p314 (forall @t11 (and (= (tptp.relation_dom @t39) @t1) (= (tptp.relation_rng @t39) @t1)))) % 0.43/0.78 (assume @p315 (forall @t21 (=> @t143 (=> @t3 @t282)))) % 0.43/0.78 (assume @p316 (forall @t72 (=> @t200 (= (tptp.in @t132 (tptp.relation_composition (tptp.identity_relation @t17) @t33)) (and @t192 (tptp.in @t132 @t33)))))) % 0.43/0.78 (assume @p317 (forall @t6 (not (and @t5 @t96)))) % 0.43/0.78 (assume @p318 (forall @t6 (and (= (tptp.pair_first @t132) @t1) (= (tptp.pair_second @t132) @t2)))) % 0.43/0.78 (assume @p319 (forall @t6 (not (and @t5 (forall @t62 (not (and @t80 (forall @t57 (not (and @t48 @t56)))))))))) % 0.43/0.78 (assume @p320 (forall @t11 (=> @t15 (tptp.well_ordering @t92)))) % 0.43/0.78 (assume @p321 (forall @t6 (tptp.subset @t1 @t28))) % 0.43/0.78 (assume @p322 (forall @t6 (= @t144 (= @t126 @t1)))) % 0.43/0.78 (assume @p323 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_dom @t237)) (and @t5 @t255))))) % 0.43/0.78 (assume @p324 (forall @t6 (=> @t41 (tptp.subset @t249 @t2)))) % 0.43/0.78 (assume @p325 (forall @t6 (not (and @t10 @t151 @t96)))) % 0.43/0.78 (assume @p326 (forall @t21 (=> @t143 (= @t256 (and @t255 (= @t2 @t258)))))) % 0.43/0.78 (assume @p327 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t63) @t120)))) % 0.43/0.78 (assume @p328 (forall @t21 (=> (and @t43 @t109) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 0.43/0.78 (assume @p329 (forall @t21 (=> @t283 @t44))) % 0.43/0.78 (assume @p330 (forall @t6 (=> @t41 (= (tptp.relation_dom @t249) @t241)))) % 0.43/0.78 (assume @p331 (forall @t6 (=> @t41 (= @t249 (tptp.relation_composition @t39 @t2))))) % 0.43/0.78 (assume @p332 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_rng @t249) @t232)))) % 0.43/0.78 (assume @p333 (forall @t11 (= (tptp.union @t93) @t1))) % 0.43/0.78 (assume @p334 (forall @t11 (exists @t75 (and @t5 @t236 (forall @t62 (not (and @t80 (forall @t57 (not (and @t48 (forall @t55 (=> (tptp.subset @t45 @t17) @t71)))))))) @t234)))) % 0.43/0.78 (assume @p335 (forall @t21 (=> @t283 @t73))) % 0.43/0.78 (step @p336 :rule bool-impl-true2 :args (@t286)) % 0.43/0.78 (step @p337 :rule exists-elim :args ((= (exists @t75 @t285) @t286))) % 0.43/0.78 (step @p338 :rule bool-double-not-elim :args (@t35)) % 0.43/0.78 (step @p339 :rule bool-double-not-elim :args (@t197)) % 0.43/0.78 (step @p340 :rule nary_cong :premises (@p339 @p338) :args ((and (not @t288) (not @t287)))) % 0.43/0.78 (step @p341 :rule bool-or-de-morgan :args (@t288 @t287 false)) % 0.43/0.78 (step @p342 :rule trans :premises (@p341 @p340)) % 0.43/0.78 (step @p343 :rule refl :args (@t80)) % 0.43/0.78 (step @p344 :rule cong :premises (@p343 @p342) :args (@t289)) % 0.43/0.78 (step @p345 :rule cong :premises (@p344) :args ((forall @t62 @t289))) % 0.43/0.78 (step @p346 :rule aci_norm :args ((= (or @t287 false) @t287))) % 0.43/0.78 (step @p347 :rule evaluate :args ((not true))) % 0.43/0.78 (step @p348 :rule eq-refl :args (@t17)) % 0.43/0.78 (step @p349 :rule cong :premises (@p348) :args (@t290)) % 0.43/0.78 (step @p350 :rule trans :premises (@p349 @p347)) % 0.43/0.78 (step @p351 :rule refl :args (@t287)) % 0.43/0.78 (step @p352 :rule nary_cong :premises (@p351 @p350) :args (@t291)) % 0.43/0.78 (step @p353 :rule trans :premises (@p352 @p346)) % 0.43/0.78 (step @p354 :rule quant-var-elim-eq :args ((= (forall @t57 (or (not @t212) @t292 @t136)) @t291))) % 0.43/0.78 (step @p355 :rule refl :args (@t136)) % 0.43/0.78 (step @p356 :rule refl :args (@t292)) % 0.43/0.78 (step @p357 :rule eq-symm :args (@t17 @t33)) % 0.43/0.78 (step @p358 :rule cong :premises (@p357) :args (@t136)) % 0.43/0.78 (step @p359 :rule nary_cong :premises (@p358 @p356 @p355) :args (@t293)) % 0.43/0.78 (step @p360 :rule aci_norm :args ((= @t294 @t293))) % 0.43/0.78 (step @p361 :rule trans :premises (@p360 @p359)) % 0.43/0.78 (step @p362 :rule cong :premises (@p361) :args (@t295)) % 0.43/0.78 (step @p363 :rule trans :premises (@p362 @p354)) % 0.43/0.78 (step @p364 :rule trans :premises (@p363 @p353)) % 0.43/0.78 (step @p365 :rule refl :args (@t288)) % 0.43/0.78 (step @p366 :rule nary_cong :premises (@p365 @p364) :args (@t296)) % 0.43/0.78 (step @p367 :rule quant-miniscope-or :args ((= (forall @t57 @t297) @t296))) % 0.43/0.78 (step @p368 :rule aci_norm :args ((= @t298 @t297))) % 0.43/0.78 (step @p369 :rule cong :premises (@p368) :args ((forall @t57 @t298))) % 0.43/0.78 (step @p370 :rule trans :premises (@p369 @p367)) % 0.43/0.78 (step @p371 :rule trans :premises (@p370 @p366)) % 0.43/0.78 (step @p372 :rule aci_norm :args ((= (or @t292 (or @t136 @t288)) @t298))) % 0.43/0.78 (step @p373 :rule bool-and-de-morgan :args (@t34 @t197 true)) % 0.43/0.78 (step @p374 :rule nary_cong :premises (@p356 @p373) :args ((or @t292 (not (and @t34 @t197))))) % 0.43/0.78 (step @p375 :rule bool-and-de-morgan :args (@t87 @t34 (and @t197))) % 0.43/0.78 (step @p376 :rule trans :premises (@p375 @p374)) % 0.43/0.78 (step @p377 :rule trans :premises (@p376 @p372)) % 0.43/0.78 (step @p378 :rule cong :premises (@p377) :args (@t300)) % 0.43/0.78 (step @p379 :rule trans :premises (@p378 @p371)) % 0.43/0.78 (step @p380 :rule cong :premises (@p379) :args (@t301)) % 0.43/0.78 (step @p381 :rule exists-elim :args ((= (exists @t57 @t299) @t301))) % 0.43/0.78 (step @p382 :rule trans :premises (@p381 @p380)) % 0.43/0.78 (step @p383 :rule refl :args (@t197)) % 0.43/0.78 (step @p384 :rule eq-symm :args (@t33 @t17)) % 0.43/0.78 (step @p385 :rule refl :args (@t87)) % 0.43/0.78 (step @p386 :rule nary_cong :premises (@p385 @p384 @p383) :args (@t213)) % 0.43/0.78 (step @p387 :rule cong :premises (@p386) :args (@t214)) % 0.43/0.78 (step @p388 :rule trans :premises (@p387 @p382)) % 0.43/0.78 (step @p389 :rule refl :args (@t80)) % 0.43/0.78 (step @p390 :rule cong :premises (@p389 @p388) :args (@t215)) % 0.43/0.78 (step @p391 :rule cong :premises (@p390) :args (@t216)) % 0.43/0.78 (step @p392 :rule trans :premises (@p391 @p345)) % 0.43/0.78 (step @p393 :rule cong :premises (@p392) :args (@t217)) % 0.43/0.78 (step @p394 :rule trans :premises (@p393 @p337)) % 0.43/0.78 (step @p395 :rule quant-unused-vars :args ((= (forall @t38 true) true))) % 0.43/0.78 (step @p396 :rule bool-or-taut2 :args ((or @t288) @t34 (or @t302) false)) % 0.43/0.78 (step @p397 :rule cong :premises (@p396) :args ((forall @t38 @t303))) % 0.43/0.78 (step @p398 :rule trans :premises (@p397 @p395)) % 0.43/0.78 (step @p399 :rule aci_norm :args ((= (or false @t288 @t136 @t302 @t34) @t303))) % 0.43/0.78 (step @p400 :rule refl :args (@t34)) % 0.43/0.78 (step @p401 :rule refl :args (@t302)) % 0.43/0.78 (step @p402 :rule refl :args (@t136)) % 0.43/0.78 (step @p403 :rule nary_cong :premises (@p350 @p365 @p402 @p401 @p400) :args (@t304)) % 0.43/0.78 (step @p404 :rule trans :premises (@p403 @p399)) % 0.43/0.78 (step @p405 :rule cong :premises (@p404) :args ((forall @t38 @t304))) % 0.43/0.78 (step @p406 :rule trans :premises (@p405 @p398)) % 0.43/0.78 (step @p407 :rule quant-var-elim-eq :args ((= (forall @t75 @t306) @t304))) % 0.43/0.78 (step @p408 :rule aci_norm :args ((= @t307 @t306))) % 0.43/0.78 (step @p409 :rule cong :premises (@p408) :args (@t308)) % 0.43/0.78 (step @p410 :rule trans :premises (@p409 @p407)) % 0.43/0.78 (step @p411 :rule cong :premises (@p410) :args (@t309)) % 0.43/0.78 (step @p412 :rule quant-merge-prenex :args ((= @t309 @t310))) % 0.43/0.78 (step @p413 :rule symm :premises (@p412)) % 0.43/0.78 (step @p414 :rule quant_var_reordering :args ((= (forall @t186 @t307) @t310))) % 0.43/0.78 (step @p415 :rule trans :premises (@p414 @p413 @p411)) % 0.43/0.78 (step @p416 :rule trans :premises (@p415 @p406)) % 0.43/0.78 (step @p417 :rule aci_norm :args ((= (or @t311 @t34) @t307))) % 0.43/0.78 (step @p418 :rule refl :args (@t34)) % 0.43/0.78 (step @p419 :rule aci_norm :args ((= (or @t105 (or @t288 (or @t305 @t302))) @t311))) % 0.43/0.78 (step @p420 :rule bool-and-de-morgan :args (@t94 @t218 true)) % 0.43/0.78 (step @p421 :rule refl :args (@t288)) % 0.43/0.78 (step @p422 :rule nary_cong :premises (@p421 @p420) :args ((or @t288 (not (and @t94 @t218))))) % 0.43/0.78 (step @p423 :rule bool-and-de-morgan :args (@t197 @t94 (and @t218))) % 0.43/0.78 (step @p424 :rule trans :premises (@p423 @p422)) % 0.43/0.78 (step @p425 :rule refl :args (@t105)) % 0.43/0.78 (step @p426 :rule nary_cong :premises (@p425 @p424) :args ((or @t105 (not (and @t197 @t94 @t218))))) % 0.43/0.78 (step @p427 :rule bool-and-de-morgan :args (@t73 @t197 (and @t94 @t218))) % 0.43/0.78 (step @p428 :rule trans :premises (@p427 @p426)) % 0.43/0.78 (step @p429 :rule trans :premises (@p428 @p419)) % 0.43/0.78 (step @p430 :rule nary_cong :premises (@p429 @p418) :args ((or (not @t219) @t34))) % 0.43/0.78 (step @p431 :rule trans :premises (@p430 @p417)) % 0.43/0.78 (step @p432 :rule bool-impl-elim :args (@t219 @t34)) % 0.43/0.78 (step @p433 :rule trans :premises (@p432 @p431)) % 0.43/0.78 (step @p434 :rule cong :premises (@p433) :args (@t220)) % 0.43/0.78 (step @p435 :rule trans :premises (@p434 @p416)) % 0.43/0.78 (step @p436 :rule cong :premises (@p435 @p394) :args (@t221)) % 0.43/0.78 (step @p437 :rule trans :premises (@p436 @p336)) % 0.43/0.78 (step @p438 :rule cong :premises (@p437) :args (@t222)) % 0.43/0.78 (step @p439 :rule eq_resolve :premises (@p182 @p438)) % 0.43/0.78 (step @p440 :rule aci_norm :args ((= @t224 @t284))) % 0.43/0.78 (step @p441 :rule cong :premises (@p343 @p440) :args (@t225)) % 0.43/0.78 (step @p442 :rule cong :premises (@p441) :args (@t226)) % 0.43/0.78 (step @p443 :rule cong :premises (@p442) :args (@t312)) % 0.43/0.78 (step @p444 :rule cong :premises (@p443) :args (@t313)) % 0.43/0.78 (step @p445 :rule cong :premises (@p444) :args (@t314)) % 0.43/0.78 (step @p446 :rule cong :premises (@p445) :args (@t315)) % 0.43/0.78 (step @p447 :rule true_intro :premises (@p446)) % 0.43/0.78 (step @p448 :rule eq-symm :args (@t316 @t315)) % 0.43/0.78 (step @p449 :rule trans :premises (@p448 @p447)) % 0.43/0.78 (step @p450 :rule true_elim :premises (@p449)) % 0.43/0.78 (step @p451 :rule equiv_elim1 :premises (@p450)) % 0.43/0.78 (step @p452 :rule reordering :premises (@p451) :args ((or @t315 (not @t316)))) % 0.43/0.78 (step @p453 :rule chain_m_resolution :premises (@p452 @p439) :args (@t315 @t317 (@list @t316))) % 0.43/0.78 (step @p454 :rule exists-elim :args ((= @t227 @t314))) % 0.43/0.78 (step @p455 :rule cong :premises (@p454) :args (@t228)) % 0.43/0.78 (step @p456 :rule cong :premises (@p455) :args (@t229)) % 0.43/0.78 (step @p457 :rule eq_resolve :premises (@p185 @p456)) % 0.43/0.78 (step @p458 false :rule chain_m_resolution :premises (@p457 @p453) :args (false @t317 (@list @t315))) % 0.43/0.78 ) % 0.43/0.78 % SZS output end Proof % 0.43/0.78 % cvc5 exiting %------------------------------------------------------------------------------