%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU281+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 : n010.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 0.81s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU281+2 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n010.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:50:10 EDT 2026 % 0.18/0.35 % CPUTime : % 0.40/0.58 %----Proving TF0_NAR, FOF, or CNF % 0.43/0.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.81 % SZS status Theorem % 0.43/0.81 % SZS output start Proof % 0.43/0.81 ( % 0.43/0.81 (declare-sort $$unsorted 0) % 0.43/0.81 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.empty_set $$unsorted) % 0.43/0.81 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.function (-> $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.81 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.43/0.81 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.81 (define @t1 () (@var "A" $$unsorted)) % 0.43/0.81 (define @t2 () (@var "B" $$unsorted)) % 0.43/0.81 (define @t3 () (tptp.in @t2 @t1)) % 0.43/0.81 (define @t4 () (not @t3)) % 0.43/0.81 (define @t5 () (tptp.in @t1 @t2)) % 0.43/0.81 (define @t6 () (@list @t1 @t2)) % 0.43/0.81 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.43/0.81 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.43/0.81 (define @t9 () (tptp.function @t1)) % 0.43/0.81 (define @t10 () (tptp.empty @t1)) % 0.43/0.81 (define @t11 () (@list @t1)) % 0.43/0.81 (define @t12 () (tptp.epsilon_connected @t1)) % 0.43/0.81 (define @t13 () (tptp.epsilon_transitive @t1)) % 0.43/0.81 (define @t14 () (and @t13 @t12)) % 0.43/0.81 (define @t15 () (tptp.ordinal @t1)) % 0.43/0.81 (define @t16 () (tptp.relation @t1)) % 0.43/0.81 (define @t17 () (@var "C" $$unsorted)) % 0.43/0.81 (define @t18 () (tptp.relation @t17)) % 0.43/0.81 (define @t19 () (tptp.cartesian_product2 @t1 @t2)) % 0.43/0.81 (define @t20 () (tptp.element @t17 (tptp.powerset @t19))) % 0.43/0.81 (define @t21 () (@list @t1 @t2 @t17)) % 0.43/0.81 (define @t22 () (tptp.one_to_one @t1)) % 0.43/0.81 (define @t23 () (and @t16 @t9 @t22)) % 0.43/0.81 (define @t24 () (and @t16 @t10 @t9)) % 0.43/0.81 (define @t25 () (and @t13 @t12 @t15)) % 0.43/0.81 (define @t26 () (tptp.unordered_pair @t1 @t2)) % 0.43/0.81 (define @t27 () (tptp.set_union2 @t2 @t1)) % 0.43/0.81 (define @t28 () (tptp.set_union2 @t1 @t2)) % 0.43/0.81 (define @t29 () (tptp.set_intersection2 @t1 @t2)) % 0.43/0.81 (define @t30 () (tptp.ordinal_subset @t1 @t2)) % 0.43/0.81 (define @t31 () (tptp.ordinal @t2)) % 0.43/0.81 (define @t32 () (and @t15 @t31)) % 0.43/0.81 (define @t33 () (@var "D" $$unsorted)) % 0.43/0.81 (define @t34 () (= @t17 @t33)) % 0.43/0.81 (define @t35 () (tptp.in @t17 @t1)) % 0.43/0.81 (define @t36 () (tptp.ordered_pair @t17 @t33)) % 0.43/0.81 (define @t37 () (tptp.in @t36 @t2)) % 0.43/0.81 (define @t38 () (@list @t17 @t33)) % 0.43/0.81 (define @t39 () (tptp.identity_relation @t1)) % 0.43/0.81 (define @t40 () (= @t2 @t39)) % 0.43/0.81 (define @t41 () (tptp.relation @t2)) % 0.43/0.81 (define @t42 () (tptp.subset @t2 @t1)) % 0.43/0.81 (define @t43 () (tptp.subset @t1 @t2)) % 0.43/0.81 (define @t44 () (= @t1 @t2)) % 0.43/0.81 (define @t45 () (@var "E" $$unsorted)) % 0.43/0.81 (define @t46 () (tptp.ordered_pair @t33 @t45)) % 0.43/0.81 (define @t47 () (tptp.in @t46 @t1)) % 0.43/0.81 (define @t48 () (tptp.in @t33 @t2)) % 0.43/0.81 (define @t49 () (tptp.in @t46 @t17)) % 0.43/0.81 (define @t50 () (@list @t33 @t45)) % 0.43/0.81 (define @t51 () (tptp.relation_dom_restriction @t1 @t2)) % 0.43/0.81 (define @t52 () (@list @t2 @t17)) % 0.43/0.81 (define @t53 () (tptp.in @t45 @t2)) % 0.43/0.81 (define @t54 () (tptp.relation_dom @t1)) % 0.43/0.81 (define @t55 () (@list @t45)) % 0.43/0.81 (define @t56 () (tptp.in @t33 @t17)) % 0.43/0.81 (define @t57 () (@list @t33)) % 0.43/0.81 (define @t58 () (= @t17 (tptp.relation_image @t1 @t2))) % 0.43/0.81 (define @t59 () (and @t16 @t9)) % 0.43/0.81 (define @t60 () (tptp.in @t45 @t1)) % 0.43/0.81 (define @t61 () (tptp.relation_rng_restriction @t1 @t2)) % 0.43/0.81 (define @t62 () (@list @t17)) % 0.43/0.81 (define @t63 () (tptp.relation_field @t1)) % 0.43/0.81 (define @t64 () (tptp.antisymmetric @t1)) % 0.43/0.81 (define @t65 () (tptp.apply @t1 @t33)) % 0.43/0.81 (define @t66 () (tptp.in @t33 @t54)) % 0.43/0.81 (define @t67 () (= @t17 (tptp.relation_inverse_image @t1 @t2))) % 0.43/0.81 (define @t68 () (tptp.ordered_pair @t45 @t33)) % 0.43/0.81 (define @t69 () (tptp.connected @t1)) % 0.43/0.81 (define @t70 () (tptp.transitive @t1)) % 0.43/0.81 (define @t71 () (tptp.in @t45 @t33)) % 0.43/0.81 (define @t72 () (@list @t1 @t2 @t17 @t33)) % 0.43/0.81 (define @t73 () (= @t2 @t17)) % 0.43/0.81 (define @t74 () (= @t1 @t36)) % 0.43/0.81 (define @t75 () (@list @t2)) % 0.43/0.81 (define @t76 () (tptp.ordered_pair @t2 @t17)) % 0.43/0.81 (define @t77 () (exists @t52 (= @t1 @t76))) % 0.43/0.81 (define @t78 () (tptp.singleton @t1)) % 0.43/0.81 (define @t79 () (tptp.succ @t1)) % 0.43/0.81 (define @t80 () (tptp.in @t17 @t2)) % 0.43/0.81 (define @t81 () (tptp.is_reflexive_in @t1 @t2)) % 0.43/0.81 (define @t82 () (tptp.relation_of2 @t17 @t1 @t2)) % 0.43/0.81 (define @t83 () (= @t2 tptp.empty_set)) % 0.43/0.81 (define @t84 () (= @t2 (tptp.set_meet @t1))) % 0.43/0.81 (define @t85 () (= @t1 tptp.empty_set)) % 0.43/0.81 (define @t86 () (tptp.in @t17 @t33)) % 0.43/0.81 (define @t87 () (tptp.in @t33 @t1)) % 0.43/0.81 (define @t88 () (not @t85)) % 0.43/0.81 (define @t89 () (= @t33 @t2)) % 0.43/0.81 (define @t90 () (tptp.subset @t17 @t33)) % 0.43/0.81 (define @t91 () (tptp.relation_field @t2)) % 0.43/0.81 (define @t92 () (tptp.inclusion_relation @t1)) % 0.43/0.81 (define @t93 () (tptp.powerset @t1)) % 0.43/0.81 (define @t94 () (= @t2 @t33)) % 0.43/0.81 (define @t95 () (tptp.in @t36 @t1)) % 0.43/0.81 (define @t96 () (tptp.empty @t2)) % 0.43/0.81 (define @t97 () (tptp.element @t2 @t1)) % 0.43/0.81 (define @t98 () (not @t10)) % 0.43/0.81 (define @t99 () (not @t83)) % 0.43/0.81 (define @t100 () (tptp.well_founded_relation @t1)) % 0.43/0.81 (define @t101 () (@var "F" $$unsorted)) % 0.43/0.81 (define @t102 () (tptp.ordered_pair @t45 @t101)) % 0.43/0.81 (define @t103 () (= @t33 @t102)) % 0.43/0.81 (define @t104 () (@list @t45 @t101)) % 0.43/0.81 (define @t105 () (not @t80)) % 0.43/0.81 (define @t106 () (not @t73)) % 0.43/0.81 (define @t107 () (tptp.in @t2 @t17)) % 0.43/0.81 (define @t108 () (forall @t62 (=> @t35 @t80))) % 0.43/0.81 (define @t109 () (= @t17 tptp.empty_set)) % 0.43/0.81 (define @t110 () (tptp.subset @t17 @t2)) % 0.43/0.81 (define @t111 () (tptp.is_well_founded_in @t1 @t2)) % 0.43/0.81 (define @t112 () (tptp.apply @t1 @t2)) % 0.43/0.81 (define @t113 () (= @t17 @t112)) % 0.43/0.81 (define @t114 () (tptp.in @t2 @t54)) % 0.43/0.81 (define @t115 () (tptp.in @t76 @t1)) % 0.43/0.81 (define @t116 () (tptp.in (tptp.ordered_pair @t33 @t17) @t1)) % 0.43/0.81 (define @t117 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.43/0.81 (define @t118 () (tptp.cast_to_subset @t1)) % 0.43/0.81 (define @t119 () (tptp.union @t1)) % 0.43/0.81 (define @t120 () (tptp.reflexive @t1)) % 0.43/0.81 (define @t121 () (tptp.well_ordering @t1)) % 0.43/0.81 (define @t122 () (tptp.relation_rng @t17)) % 0.43/0.81 (define @t123 () (tptp.relation_dom @t17)) % 0.43/0.81 (define @t124 () (tptp.one_to_one @t17)) % 0.43/0.81 (define @t125 () (tptp.function @t17)) % 0.43/0.81 (define @t126 () (tptp.equipotent @t1 @t2)) % 0.43/0.81 (define @t127 () (tptp.set_difference @t1 @t2)) % 0.43/0.81 (define @t128 () (and @t66 (= @t17 @t65))) % 0.43/0.81 (define @t129 () (tptp.relation_rng @t1)) % 0.43/0.81 (define @t130 () (= @t2 @t129)) % 0.43/0.81 (define @t131 () (tptp.subset_complement @t1 @t2)) % 0.43/0.81 (define @t132 () (tptp.element @t2 @t93)) % 0.43/0.81 (define @t133 () (tptp.ordered_pair @t1 @t2)) % 0.43/0.81 (define @t134 () (tptp.is_connected_in @t1 @t2)) % 0.43/0.81 (define @t135 () (tptp.is_transitive_in @t1 @t2)) % 0.43/0.81 (define @t136 () (tptp.being_limit_ordinal @t1)) % 0.43/0.81 (define @t137 () (not @t34)) % 0.43/0.81 (define @t138 () (tptp.cartesian_product2 @t2 @t2)) % 0.43/0.81 (define @t139 () (tptp.relation_restriction @t1 @t2)) % 0.43/0.81 (define @t140 () (tptp.relation_inverse @t1)) % 0.43/0.81 (define @t141 () (tptp.apply @t17 @t45)) % 0.43/0.81 (define @t142 () (tptp.apply @t17 @t33)) % 0.43/0.81 (define @t143 () (tptp.relation_isomorphism @t1 @t2 @t17)) % 0.43/0.81 (define @t144 () (and @t18 @t125)) % 0.43/0.81 (define @t145 () (tptp.disjoint @t1 @t2)) % 0.43/0.81 (define @t146 () (@list @t101)) % 0.43/0.81 (define @t147 () (tptp.relation_composition @t1 @t2)) % 0.43/0.81 (define @t148 () (@list @t17 @t33 @t45)) % 0.43/0.81 (define @t149 () (tptp.complements_of_subsets @t1 @t2)) % 0.43/0.81 (define @t150 () (tptp.powerset @t93)) % 0.43/0.81 (define @t151 () (tptp.element @t2 @t150)) % 0.43/0.81 (define @t152 () (not @t44)) % 0.43/0.81 (define @t153 () (tptp.function_inverse @t1)) % 0.43/0.81 (define @t154 () (tptp.relation @t140)) % 0.43/0.81 (define @t155 () (tptp.relation_dom_as_subset @t1 @t2 @t17)) % 0.43/0.81 (define @t156 () (tptp.relation @t147)) % 0.43/0.81 (define @t157 () (and @t16 @t41)) % 0.43/0.81 (define @t158 () (tptp.powerset @t2)) % 0.43/0.81 (define @t159 () (tptp.relation_rng_as_subset @t1 @t2 @t17)) % 0.43/0.81 (define @t160 () (tptp.union_of_subsets @t1 @t2)) % 0.43/0.81 (define @t161 () (tptp.relation @t39)) % 0.43/0.81 (define @t162 () (tptp.meet_of_subsets @t1 @t2)) % 0.43/0.81 (define @t163 () (tptp.subset_difference @t1 @t2 @t17)) % 0.43/0.81 (define @t164 () (tptp.element @t17 @t93)) % 0.43/0.81 (define @t165 () (and @t132 @t164)) % 0.43/0.81 (define @t166 () (tptp.relation @t51)) % 0.43/0.81 (define @t167 () (tptp.relation @t61)) % 0.43/0.81 (define @t168 () (tptp.relation_of2_as_subset @t17 @t1 @t2)) % 0.43/0.81 (define @t169 () (tptp.relation_composition @t2 @t1)) % 0.43/0.81 (define @t170 () (and @t10 @t41)) % 0.43/0.81 (define @t171 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.43/0.81 (define @t172 () (tptp.relation tptp.empty_set)) % 0.43/0.81 (define @t173 () (tptp.empty tptp.empty_set)) % 0.43/0.81 (define @t174 () (tptp.relation_empty_yielding @t1)) % 0.43/0.81 (define @t175 () (and @t16 @t174)) % 0.43/0.81 (define @t176 () (tptp.function @t2)) % 0.43/0.81 (define @t177 () (not (tptp.empty @t79))) % 0.43/0.81 (define @t178 () (not @t96)) % 0.43/0.81 (define @t179 () (and @t41 @t176)) % 0.43/0.81 (define @t180 () (tptp.empty @t54)) % 0.43/0.81 (define @t181 () (and @t98 @t16)) % 0.43/0.81 (define @t182 () (tptp.empty @t129)) % 0.43/0.81 (define @t183 () (tptp.in @t2 @t63)) % 0.43/0.81 (define @t184 () (tptp.disjoint @t78 @t2)) % 0.43/0.81 (define @t185 () (not @t5)) % 0.43/0.81 (define @t186 () (tptp.relation_dom @t2)) % 0.43/0.81 (define @t187 () (@list @t2 @t17 @t33)) % 0.43/0.81 (define @t188 () (tptp.well_ordering @t2)) % 0.43/0.81 (define @t189 () (tptp.in (tptp.ordered_pair @t17 @t2) @t1)) % 0.43/0.81 (define @t190 () (not @t115)) % 0.43/0.81 (define @t191 () (tptp.singleton @t2)) % 0.43/0.81 (define @t192 () (tptp.union @t2)) % 0.43/0.81 (define @t193 () (tptp.in @t1 @t17)) % 0.43/0.81 (define @t194 () (tptp.element @t1 @t158)) % 0.43/0.81 (define @t195 () (tptp.relation_dom_restriction @t17 @t1)) % 0.43/0.81 (define @t196 () (tptp.in @t2 (tptp.relation_dom @t195))) % 0.43/0.81 (define @t197 () (tptp.set_difference @t2 @t17)) % 0.43/0.81 (define @t198 () (tptp.ordinal @t17)) % 0.43/0.81 (define @t199 () (tptp.apply @t17 @t101)) % 0.43/0.81 (define @t200 () (tptp.in @t101 @t1)) % 0.43/0.81 (define @t201 () (tptp.relation @t33)) % 0.43/0.81 (define @t202 () (and @t41 @t18 @t125)) % 0.43/0.81 (define @t203 () (@var "J" $$unsorted)) % 0.43/0.81 (define @t204 () (tptp.singleton @t203)) % 0.43/0.81 (define @t205 () (@var "K" $$unsorted)) % 0.43/0.81 (define @t206 () (= @t205 @t204)) % 0.43/0.81 (define @t207 () (tptp.in @t203 @t1)) % 0.43/0.81 (define @t208 () (tptp.ordered_pair @t203 @t205)) % 0.43/0.81 (define @t209 () (and (= @t208 @t33) @t207 @t206)) % 0.43/0.81 (define @t210 () (@list @t203 @t205)) % 0.43/0.81 (define @t211 () (exists @t210 @t209)) % 0.43/0.81 (define @t212 () (= @t45 @t33)) % 0.43/0.81 (define @t213 () (tptp.in @t45 @t19)) % 0.43/0.81 (define @t214 () (and @t213 @t212 @t211)) % 0.43/0.81 (define @t215 () (exists @t55 @t214)) % 0.43/0.81 (define @t216 () (= @t56 @t215)) % 0.43/0.81 (define @t217 () (forall @t57 @t216)) % 0.43/0.81 (define @t218 () (exists @t62 @t217)) % 0.43/0.81 (define @t219 () (= @t33 @t45)) % 0.43/0.81 (define @t220 () (@var "H" $$unsorted)) % 0.43/0.81 (define @t221 () (tptp.singleton @t220)) % 0.43/0.81 (define @t222 () (@var "I" $$unsorted)) % 0.43/0.81 (define @t223 () (= @t222 @t221)) % 0.43/0.81 (define @t224 () (tptp.in @t220 @t1)) % 0.43/0.81 (define @t225 () (tptp.ordered_pair @t220 @t222)) % 0.43/0.81 (define @t226 () (and (= @t225 @t45) @t224 @t223)) % 0.43/0.81 (define @t227 () (@list @t220 @t222)) % 0.43/0.81 (define @t228 () (exists @t227 @t226)) % 0.43/0.81 (define @t229 () (= @t17 @t45)) % 0.43/0.81 (define @t230 () (tptp.singleton @t101)) % 0.43/0.81 (define @t231 () (@var "G" $$unsorted)) % 0.43/0.81 (define @t232 () (= @t231 @t230)) % 0.43/0.81 (define @t233 () (tptp.ordered_pair @t101 @t231)) % 0.43/0.81 (define @t234 () (and (= @t233 @t33) @t200 @t232)) % 0.43/0.81 (define @t235 () (@list @t101 @t231)) % 0.43/0.81 (define @t236 () (exists @t235 @t234)) % 0.43/0.81 (define @t237 () (and @t34 @t236 @t229 @t228)) % 0.43/0.81 (define @t238 () (=> @t237 @t219)) % 0.43/0.81 (define @t239 () (forall @t148 @t238)) % 0.43/0.81 (define @t240 () (=> @t239 @t218)) % 0.43/0.81 (define @t241 () (forall @t6 @t240)) % 0.43/0.81 (define @t242 () (@var "L" $$unsorted)) % 0.43/0.81 (define @t243 () (tptp.cartesian_product2 @t1 @t1)) % 0.43/0.81 (define @t244 () (= @t33 @t101)) % 0.43/0.81 (define @t245 () (tptp.apply @t17 @t231)) % 0.43/0.81 (define @t246 () (tptp.ordinal @t33)) % 0.43/0.81 (define @t247 () (@list @t220)) % 0.43/0.81 (define @t248 () (tptp.succ @t2)) % 0.43/0.81 (define @t249 () (@list @t231)) % 0.43/0.81 (define @t250 () (tptp.singleton @t45)) % 0.43/0.81 (define @t251 () (= @t101 @t250)) % 0.43/0.81 (define @t252 () (and (= @t102 @t33) @t60 @t251)) % 0.43/0.81 (define @t253 () (exists @t104 @t252)) % 0.43/0.81 (define @t254 () (tptp.in @t33 @t19)) % 0.43/0.81 (define @t255 () (and @t254 @t253)) % 0.43/0.81 (define @t256 () (= @t56 @t255)) % 0.43/0.81 (define @t257 () (forall @t57 @t256)) % 0.43/0.81 (define @t258 () (exists @t62 @t257)) % 0.43/0.81 (define @t259 () (forall @t6 @t258)) % 0.43/0.81 (define @t260 () (not @t259)) % 0.43/0.81 (define @t261 () (= @t1 @t17)) % 0.43/0.81 (define @t262 () (tptp.relation_rng @t61)) % 0.43/0.81 (define @t263 () (tptp.relation_rng @t2)) % 0.43/0.81 (define @t264 () (tptp.cartesian_product2 @t1 @t17)) % 0.43/0.81 (define @t265 () (forall @t62 (not (and @t110 (not (tptp.are_equipotent @t17 @t2)) @t105)))) % 0.43/0.81 (define @t266 () (tptp.powerset @t17)) % 0.43/0.81 (define @t267 () (forall @t38 (=> (and @t80 (tptp.subset @t33 @t17)) @t48))) % 0.43/0.81 (define @t268 () (tptp.relation_dom_restriction @t17 @t2)) % 0.43/0.81 (define @t269 () (tptp.relation_image @t2 @t1)) % 0.43/0.81 (define @t270 () (tptp.relation_inverse_image @t2 @t1)) % 0.43/0.81 (define @t271 () (tptp.relation_image @t2 @t270)) % 0.43/0.81 (define @t272 () (tptp.set_intersection2 @t186 @t1)) % 0.43/0.81 (define @t273 () (tptp.subset @t1 @t263)) % 0.43/0.81 (define @t274 () (tptp.relation_of2_as_subset @t33 @t17 @t2)) % 0.43/0.81 (define @t275 () (tptp.relation_of2_as_subset @t33 @t17 @t1)) % 0.43/0.81 (define @t276 () (tptp.relation_rng @t147)) % 0.43/0.81 (define @t277 () (tptp.relation_inverse_image @t17 @t2)) % 0.43/0.81 (define @t278 () (tptp.relation_restriction @t17 @t2)) % 0.43/0.81 (define @t279 () (tptp.relation_restriction @t2 @t1)) % 0.43/0.81 (define @t280 () (tptp.relation_dom_restriction @t2 @t1)) % 0.43/0.81 (define @t281 () (tptp.relation_field @t17)) % 0.43/0.81 (define @t282 () (tptp.in @t1 @t281)) % 0.43/0.81 (define @t283 () (tptp.set_intersection2 @t2 @t17)) % 0.43/0.81 (define @t284 () (tptp.subset @t1 @t17)) % 0.43/0.81 (define @t285 () (tptp.element @t1 @t2)) % 0.43/0.81 (define @t286 () (tptp.in @t1 @t123)) % 0.43/0.81 (define @t287 () (tptp.in @t133 @t17)) % 0.43/0.81 (define @t288 () (tptp.relation_field @t279)) % 0.43/0.81 (define @t289 () (tptp.apply @t17 @t1)) % 0.43/0.81 (define @t290 () (tptp.relation_composition @t17 @t2)) % 0.43/0.81 (define @t291 () (tptp.in @t1 (tptp.relation_dom @t290))) % 0.43/0.81 (define @t292 () (tptp.reflexive @t2)) % 0.43/0.81 (define @t293 () (tptp.connected @t2)) % 0.43/0.81 (define @t294 () (tptp.transitive @t2)) % 0.43/0.81 (define @t295 () (tptp.antisymmetric @t2)) % 0.43/0.81 (define @t296 () (tptp.well_ordering @t279)) % 0.43/0.81 (define @t297 () (= @t288 @t1)) % 0.43/0.81 (define @t298 () (tptp.well_founded_relation @t2)) % 0.43/0.81 (define @t299 () (tptp.apply @t2 @t17)) % 0.43/0.81 (define @t300 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.43/0.81 (define @t301 () (and @t35 @t80)) % 0.43/0.81 (define @t302 () (not @t145)) % 0.43/0.81 (define @t303 () (= @t1 @t248)) % 0.43/0.81 (define @t304 () (tptp.subset_complement @t1 @t17)) % 0.43/0.81 (define @t305 () (tptp.disjoint @t2 @t17)) % 0.43/0.81 (define @t306 () (tptp.relation_dom @t147)) % 0.43/0.81 (define @t307 () (tptp.element @t2 @t266)) % 0.43/0.81 (define @t308 () (tptp.in @t17 @t29)) % 0.43/0.81 (define @t309 () (and (tptp.in @t17 @t129) (= @t33 @t299))) % 0.43/0.81 (define @t310 () (tptp.function_inverse @t2)) % 0.43/0.81 (define @t311 () (= @t129 tptp.empty_set)) % 0.43/0.81 (define @t312 () (= @t54 tptp.empty_set)) % 0.43/0.81 (define @t313 () (= (tptp.apply @t195 @t2) (tptp.apply @t17 @t2))) % 0.43/0.81 (define @t314 () (= @t78 (tptp.unordered_pair @t2 @t17))) % 0.43/0.81 (define @t315 () (not @t207)) % 0.43/0.81 (define @t316 () (not (= @t33 (tptp.ordered_pair @t203 @t204)))) % 0.43/0.81 (define @t317 () (or @t316 @t315)) % 0.43/0.81 (define @t318 () (@list @t203)) % 0.43/0.81 (define @t319 () (forall @t318 @t317)) % 0.43/0.81 (define @t320 () (not @t319)) % 0.43/0.81 (define @t321 () (forall @t57 (= @t56 (and @t320 @t254)))) % 0.43/0.81 (define @t322 () (not (forall @t62 (not @t321)))) % 0.43/0.81 (define @t323 () (not @t254)) % 0.43/0.81 (define @t324 () (= @t56 (not (or @t319 @t323)))) % 0.43/0.81 (define @t325 () (not (= @t33 @t33))) % 0.43/0.81 (define @t326 () (or @t323 @t325)) % 0.43/0.81 (define @t327 () (not @t219)) % 0.43/0.81 (define @t328 () (not @t213)) % 0.43/0.81 (define @t329 () (or @t327 @t328 @t327)) % 0.43/0.81 (define @t330 () (or @t328 @t327)) % 0.43/0.81 (define @t331 () (forall @t55 @t330)) % 0.43/0.81 (define @t332 () (or @t319 @t331)) % 0.43/0.81 (define @t333 () (or @t319 @t330)) % 0.43/0.81 (define @t334 () (or @t328 @t327 @t319)) % 0.43/0.81 (define @t335 () (not @t320)) % 0.43/0.81 (define @t336 () (or @t328 @t327 @t335)) % 0.43/0.81 (define @t337 () (and @t213 @t219 @t320)) % 0.43/0.81 (define @t338 () (forall @t55 (not @t337))) % 0.43/0.81 (define @t339 () (not @t338)) % 0.43/0.81 (define @t340 () (not (= @t204 @t204))) % 0.43/0.81 (define @t341 () (or @t316 @t315 @t340)) % 0.43/0.81 (define @t342 () (not @t206)) % 0.43/0.81 (define @t343 () (= @t33 @t208)) % 0.43/0.81 (define @t344 () (not @t343)) % 0.43/0.81 (define @t345 () (or @t342 @t344 @t315 @t342)) % 0.43/0.81 (define @t346 () (@list @t205)) % 0.43/0.81 (define @t347 () (or @t344 @t315 @t342)) % 0.43/0.81 (define @t348 () (forall @t346 @t347)) % 0.43/0.81 (define @t349 () (forall @t318 @t348)) % 0.43/0.81 (define @t350 () (and @t343 @t207 @t206)) % 0.43/0.81 (define @t351 () (forall @t210 (not @t350))) % 0.43/0.81 (define @t352 () (not @t351)) % 0.43/0.81 (define @t353 () (@var "BOUND_VARIABLE_11250" $$unsorted)) % 0.43/0.81 (define @t354 () (@var "BOUND_VARIABLE_11241" $$unsorted)) % 0.43/0.81 (define @t355 () (@list @t33 @t45 @t354 @t353)) % 0.43/0.81 (define @t356 () (not (tptp.in @t353 @t1))) % 0.43/0.81 (define @t357 () (not (= @t45 (tptp.ordered_pair @t353 (tptp.singleton @t353))))) % 0.43/0.81 (define @t358 () (not (tptp.in @t354 @t1))) % 0.43/0.81 (define @t359 () (not (= @t33 (tptp.ordered_pair @t354 (tptp.singleton @t354))))) % 0.43/0.81 (define @t360 () (or @t327 @t219 @t359 @t358 @t357 @t356)) % 0.43/0.81 (define @t361 () (or @t325 @t327 @t219 @t359 @t358 @t357 @t356)) % 0.43/0.81 (define @t362 () (not @t229)) % 0.43/0.81 (define @t363 () (or @t137 @t137 @t362 @t219 @t359 @t358 @t357 @t356)) % 0.43/0.81 (define @t364 () (or @t137 @t362 @t219 @t359 @t358 @t357 @t356)) % 0.43/0.81 (define @t365 () (forall @t62 @t364)) % 0.43/0.81 (define @t366 () (forall @t355 @t365)) % 0.43/0.81 (define @t367 () (forall (@list @t33 @t45 @t354 @t353 @t17) @t364)) % 0.43/0.81 (define @t368 () (@list @t17 @t33 @t45 @t354 @t353)) % 0.43/0.81 (define @t369 () (or @t357 @t356)) % 0.43/0.81 (define @t370 () (or @t359 @t358)) % 0.43/0.81 (define @t371 () (or @t137 @t370 @t362 @t369 @t219)) % 0.43/0.81 (define @t372 () (forall @t368 @t371)) % 0.43/0.81 (define @t373 () (forall (@list @t354 @t353) @t371)) % 0.43/0.81 (define @t374 () (forall (@list @t353) @t369)) % 0.43/0.81 (define @t375 () (forall (@list @t354) @t370)) % 0.43/0.81 (define @t376 () (or @t137 @t375 @t362 @t374 @t219)) % 0.43/0.81 (define @t377 () (not @t224)) % 0.43/0.81 (define @t378 () (not (= @t45 (tptp.ordered_pair @t220 @t221)))) % 0.43/0.81 (define @t379 () (or @t378 @t377)) % 0.43/0.81 (define @t380 () (forall @t247 @t379)) % 0.43/0.81 (define @t381 () (not @t200)) % 0.43/0.81 (define @t382 () (not (= @t33 (tptp.ordered_pair @t101 @t230)))) % 0.43/0.81 (define @t383 () (or @t382 @t381)) % 0.43/0.81 (define @t384 () (forall @t146 @t383)) % 0.43/0.81 (define @t385 () (or @t137 @t384 @t362 @t380 @t219)) % 0.43/0.81 (define @t386 () (not @t380)) % 0.43/0.81 (define @t387 () (not @t386)) % 0.43/0.81 (define @t388 () (not @t384)) % 0.43/0.81 (define @t389 () (not @t388)) % 0.43/0.81 (define @t390 () (or @t137 @t389 @t362 @t387)) % 0.43/0.81 (define @t391 () (and @t34 @t388 @t229 @t386)) % 0.43/0.81 (define @t392 () (not (= @t221 @t221))) % 0.43/0.81 (define @t393 () (or @t378 @t377 @t392)) % 0.43/0.81 (define @t394 () (not @t223)) % 0.43/0.81 (define @t395 () (= @t45 @t225)) % 0.43/0.81 (define @t396 () (not @t395)) % 0.43/0.81 (define @t397 () (or @t394 @t396 @t377 @t394)) % 0.43/0.81 (define @t398 () (@list @t222)) % 0.43/0.81 (define @t399 () (or @t396 @t377 @t394)) % 0.43/0.81 (define @t400 () (forall @t398 @t399)) % 0.43/0.81 (define @t401 () (forall @t247 @t400)) % 0.43/0.81 (define @t402 () (and @t395 @t224 @t223)) % 0.43/0.81 (define @t403 () (forall @t227 (not @t402))) % 0.43/0.81 (define @t404 () (not @t403)) % 0.43/0.81 (define @t405 () (not (= @t230 @t230))) % 0.43/0.81 (define @t406 () (or @t382 @t381 @t405)) % 0.43/0.81 (define @t407 () (not @t232)) % 0.43/0.81 (define @t408 () (= @t33 @t233)) % 0.43/0.81 (define @t409 () (not @t408)) % 0.43/0.81 (define @t410 () (or @t407 @t409 @t381 @t407)) % 0.43/0.81 (define @t411 () (or @t409 @t381 @t407)) % 0.43/0.81 (define @t412 () (forall @t249 @t411)) % 0.43/0.81 (define @t413 () (forall @t146 @t412)) % 0.43/0.81 (define @t414 () (and @t408 @t200 @t232)) % 0.43/0.81 (define @t415 () (forall @t235 (not @t414))) % 0.43/0.81 (define @t416 () (not @t415)) % 0.43/0.81 (define @t417 () (not @t60)) % 0.43/0.81 (define @t418 () (not (= @t33 (tptp.ordered_pair @t45 @t250)))) % 0.43/0.81 (define @t419 () (or @t418 @t417)) % 0.43/0.81 (define @t420 () (not (forall @t55 @t419))) % 0.43/0.81 (define @t421 () (and @t420 @t254)) % 0.43/0.81 (define @t422 () (and @t254 @t420)) % 0.43/0.81 (define @t423 () (= @t56 @t422)) % 0.43/0.81 (define @t424 () (forall @t57 @t423)) % 0.43/0.81 (define @t425 () (not @t424)) % 0.43/0.81 (define @t426 () (forall @t62 @t425)) % 0.43/0.81 (define @t427 () (not @t426)) % 0.43/0.81 (define @t428 () (forall @t6 @t427)) % 0.43/0.81 (define @t429 () (forall @t6 (not (forall @t62 (not (forall @t57 (= @t56 @t421))))))) % 0.43/0.81 (define @t430 () (@var "BOUND_VARIABLE_14842" $$unsorted)) % 0.43/0.81 (define @t431 () (@var "BOUND_VARIABLE_14841" $$unsorted)) % 0.43/0.81 (define @t432 () (@var "BOUND_VARIABLE_14839" $$unsorted)) % 0.43/0.81 (define @t433 () (@var "BOUND_VARIABLE_14840" $$unsorted)) % 0.43/0.81 (define @t434 () (@var "BOUND_VARIABLE_14838" $$unsorted)) % 0.43/0.81 (define @t435 () (@list @t434 @t432 @t433 @t431 @t430)) % 0.43/0.81 (define @t436 () (forall @t6 @t322)) % 0.43/0.81 (define @t437 () (@list false)) % 0.43/0.81 (define @t438 () (not (= @t250 @t250))) % 0.43/0.81 (define @t439 () (or @t418 @t417 @t438)) % 0.43/0.81 (define @t440 () (not @t251)) % 0.43/0.81 (define @t441 () (not @t103)) % 0.43/0.81 (define @t442 () (or @t440 @t441 @t417 @t440)) % 0.43/0.81 (define @t443 () (or @t441 @t417 @t440)) % 0.43/0.81 (define @t444 () (forall @t146 @t443)) % 0.43/0.81 (define @t445 () (forall @t55 @t444)) % 0.43/0.81 (define @t446 () (and @t103 @t60 @t251)) % 0.43/0.81 (define @t447 () (forall @t104 (not @t446))) % 0.43/0.81 (define @t448 () (not @t447)) % 0.43/0.81 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.43/0.81 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.43/0.81 (assume @p3 (forall @t11 (=> @t10 @t9))) % 0.43/0.81 (assume @p4 (forall @t11 (=> @t15 @t14))) % 0.43/0.81 (assume @p5 (forall @t11 (=> @t10 @t16))) % 0.43/0.81 (assume @p6 (forall @t21 (=> @t20 @t18))) % 0.43/0.81 (assume @p7 (forall @t11 (=> @t24 @t23))) % 0.43/0.81 (assume @p8 (forall @t11 (=> @t14 @t15))) % 0.43/0.81 (assume @p9 (forall @t11 (=> @t10 @t25))) % 0.43/0.81 (assume @p10 (forall @t6 (= @t26 (tptp.unordered_pair @t2 @t1)))) % 0.43/0.81 (assume @p11 (forall @t6 (= @t28 @t27))) % 0.43/0.81 (assume @p12 (forall @t6 (= @t29 (tptp.set_intersection2 @t2 @t1)))) % 0.43/0.81 (assume @p13 (forall @t6 (=> @t32 (or @t30 (tptp.ordinal_subset @t2 @t1))))) % 0.43/0.81 (assume @p14 (forall @t6 (=> @t41 (= @t40 (forall @t38 (= @t37 (and @t35 @t34))))))) % 0.43/0.81 (assume @p15 (forall @t6 (= @t44 (and @t43 @t42)))) % 0.43/0.81 (assume @p16 (forall @t11 (=> @t16 (forall @t52 (=> @t18 (= (= @t17 @t51) (forall @t50 (= @t49 (and @t48 @t47))))))))) % 0.43/0.81 (assume @p17 (forall @t11 (=> @t59 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t54) @t53 (= @t33 (tptp.apply @t1 @t45))))))))))) % 0.43/0.81 (assume @p18 (forall @t6 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t61) (forall @t50 (= @t49 (and @t60 (tptp.in @t46 @t2)))))))))) % 0.43/0.81 (assume @p19 (forall @t11 (=> @t16 (= @t64 (tptp.is_antisymmetric_in @t1 @t63))))) % 0.43/0.81 (assume @p20 (forall @t11 (=> @t59 (forall @t52 (= @t67 (forall @t57 (= @t56 (and @t66 (tptp.in @t65 @t2))))))))) % 0.43/0.81 (assume @p21 (forall @t11 (=> @t16 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t68 @t1) @t53))))))))) % 0.43/0.81 (assume @p22 (forall @t11 (=> @t16 (forall @t52 (= @t67 (forall @t57 (= @t56 (exists @t55 (and @t47 @t53))))))))) % 0.43/0.81 (assume @p23 (forall @t11 (=> @t16 (= @t69 (tptp.is_connected_in @t1 @t63))))) % 0.43/0.81 (assume @p24 (forall @t11 (=> @t16 (= @t70 (tptp.is_transitive_in @t1 @t63))))) % 0.43/0.81 (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))))))))) % 0.43/0.81 (assume @p26 (forall @t11 (=> @t77 (forall @t75 (= (= @t2 (tptp.pair_first @t1)) (forall @t38 (=> @t74 @t73))))))) % 0.43/0.81 (assume @p27 (forall @t11 (= @t79 (tptp.set_union2 @t1 @t78)))) % 0.43/0.81 (assume @p28 (forall @t11 (= @t16 (forall @t75 (not (and @t3 (forall @t38 (not (= @t2 @t36))))))))) % 0.43/0.81 (assume @p29 (forall @t11 (=> @t16 (forall @t75 (= @t81 (forall @t62 (=> @t80 (tptp.in (tptp.ordered_pair @t17 @t17) @t1)))))))) % 0.43/0.81 (assume @p30 (forall @t21 (= @t82 (tptp.subset @t17 @t19)))) % 0.43/0.81 (assume @p31 (forall @t6 (and (=> @t88 (= @t84 (forall @t62 (= @t80 (forall @t57 (=> @t87 @t86)))))) (=> @t85 (= @t84 @t83))))) % 0.43/0.81 (assume @p32 (forall @t6 (= (= @t2 @t78) (forall @t62 (= @t80 (= @t17 @t1)))))) % 0.43/0.81 (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))))))))) % 0.43/0.81 (assume @p34 (forall @t6 (=> @t41 (= (= @t2 @t92) (and (= @t91 @t1) (forall @t38 (=> (and @t35 @t87) (= @t37 @t90)))))))) % 0.43/0.81 (assume @p35 (forall @t11 (= @t85 (forall @t75 @t4)))) % 0.43/0.81 (assume @p36 (forall @t6 (= (= @t2 @t93) (forall @t62 (= @t80 (tptp.subset @t17 @t1)))))) % 0.43/0.81 (assume @p37 (forall @t11 (=> @t77 (forall @t75 (= (= @t2 (tptp.pair_second @t1)) (forall @t38 (=> @t74 @t94))))))) % 0.43/0.81 (assume @p38 (forall @t11 (= @t13 (forall @t75 (=> @t3 @t42))))) % 0.43/0.81 (assume @p39 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t44 (forall @t38 (= @t95 @t37)))))))) % 0.43/0.81 (assume @p40 (forall @t6 (and (=> @t98 (= @t97 @t3)) (=> @t10 (= @t97 @t96))))) % 0.43/0.81 (assume @p41 (forall @t21 (= (= @t17 @t26) (forall @t57 (= @t56 (or (= @t33 @t1) @t89)))))) % 0.43/0.81 (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))))))))))) % 0.43/0.81 (assume @p43 (forall @t21 (= (= @t17 @t28) (forall @t57 (= @t56 (or @t87 @t48)))))) % 0.43/0.81 (assume @p44 (forall @t21 (= (= @t17 @t19) (forall @t57 (= @t56 (exists @t104 (and @t60 (tptp.in @t101 @t2) @t103))))))) % 0.43/0.81 (assume @p45 (forall @t11 (= @t12 (forall @t52 (not (and @t3 @t35 (not @t107) @t106 @t105)))))) % 0.43/0.81 (assume @p46 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t43 (forall @t38 (=> @t95 @t37)))))))) % 0.43/0.81 (assume @p47 (forall @t6 (= @t43 @t108))) % 0.43/0.81 (assume @p48 (forall @t11 (=> @t16 (forall @t75 (= @t111 (forall @t62 (not (and @t110 (not @t109) (forall @t57 (not (and @t56 (tptp.disjoint (tptp.fiber @t1 @t33) @t17)))))))))))) % 0.43/0.81 (assume @p49 (forall @t21 (= (= @t17 @t29) (forall @t57 (= @t56 (and @t87 @t48)))))) % 0.43/0.81 (assume @p50 (forall @t11 (=> @t59 (forall @t52 (and (=> @t114 (= @t113 @t115)) (=> (not @t114) (= @t113 @t109))))))) % 0.43/0.81 (assume @p51 (forall @t11 (= @t15 @t14))) % 0.43/0.81 (assume @p52 (forall @t11 (=> @t16 (forall @t75 (= (= @t2 @t54) (forall @t62 (= @t80 (exists @t57 @t95)))))))) % 0.43/0.81 (assume @p53 (forall @t11 (=> @t16 (forall @t75 (= @t117 (forall @t38 (=> (and @t80 @t48 @t95 @t116) @t34))))))) % 0.43/0.81 (assume @p54 (forall @t11 (= @t118 @t1))) % 0.43/0.81 (assume @p55 (forall @t6 (= (= @t2 @t119) (forall @t62 (= @t80 (exists @t57 (and @t86 @t87))))))) % 0.43/0.81 (assume @p56 (forall @t11 (=> @t16 (= @t121 (and @t120 @t70 @t64 @t69 @t100))))) % 0.43/0.81 (assume @p57 (forall @t6 (= @t126 (exists @t62 (and @t18 @t125 @t124 (= @t123 @t1) (= @t122 @t2)))))) % 0.43/0.81 (assume @p58 (forall @t21 (= (= @t17 @t127) (forall @t57 (= @t56 (and @t87 (not @t48))))))) % 0.43/0.81 (assume @p59 (forall @t11 (=> @t59 (forall @t75 (= @t130 (forall @t62 (= @t80 (exists @t57 @t128)))))))) % 0.43/0.81 (assume @p60 (forall @t11 (=> @t16 (forall @t75 (= @t130 (forall @t62 (= @t80 (exists @t57 @t116)))))))) % 0.43/0.81 (assume @p61 (forall @t6 (=> @t132 (= @t131 @t127)))) % 0.43/0.81 (assume @p62 (forall @t6 (= @t133 (tptp.unordered_pair @t26 @t78)))) % 0.43/0.81 (assume @p63 (forall @t11 (=> @t16 (forall @t75 (= (tptp.well_orders @t1 @t2) (and @t81 @t135 @t117 @t134 @t111)))))) % 0.43/0.81 (assume @p64 (forall @t11 (= @t136 (= @t1 @t119)))) % 0.43/0.81 (assume @p65 (forall @t11 (=> @t16 (= @t63 (tptp.set_union2 @t54 @t129))))) % 0.43/0.81 (assume @p66 (forall @t11 (=> @t16 (forall @t75 (= @t134 (forall @t38 (not (and @t80 @t48 @t137 (not @t95) (not @t116))))))))) % 0.43/0.81 (assume @p67 (forall @t11 (=> @t16 (forall @t75 (= @t139 (tptp.set_intersection2 @t1 @t138)))))) % 0.43/0.81 (assume @p68 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= (= @t2 @t140) (forall @t38 (= @t37 @t116)))))))) % 0.43/0.81 (assume @p69 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t144 (= @t143 (and (= @t123 @t63) (= @t122 @t91) @t124 (forall @t50 (= @t47 (and (tptp.in @t33 @t63) (tptp.in @t45 @t63) (tptp.in (tptp.ordered_pair @t142 @t141) @t2))))))))))))) % 0.43/0.81 (assume @p70 (forall @t6 (= @t145 (= @t29 tptp.empty_set)))) % 0.43/0.81 (assume @p71 (forall @t11 (=> @t59 (= @t22 (forall @t52 (=> (and @t114 (tptp.in @t17 @t54) (= @t112 (tptp.apply @t1 @t17))) @t73)))))) % 0.43/0.81 (assume @p72 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t147) (forall @t50 (= @t49 (exists @t146 (and (tptp.in (tptp.ordered_pair @t33 @t101) @t1) (tptp.in (tptp.ordered_pair @t101 @t45) @t2))))))))))))) % 0.43/0.81 (assume @p73 (forall @t11 (=> @t16 (forall @t75 (= @t135 (forall @t148 (=> (and @t80 @t48 @t53 @t95 @t47) (tptp.in (tptp.ordered_pair @t17 @t45) @t1)))))))) % 0.43/0.81 (assume @p74 (forall @t6 (=> @t151 (forall @t62 (=> (tptp.element @t17 @t150) (= (= @t17 @t149) (forall @t57 (=> (tptp.element @t33 @t93) (= @t56 (tptp.in (tptp.subset_complement @t1 @t33) @t2)))))))))) % 0.43/0.81 (assume @p75 (forall @t6 (= @t8 (and @t43 @t152)))) % 0.43/0.81 (assume @p76 (forall @t11 (=> @t59 (=> @t22 (= @t153 @t140))))) % 0.43/0.81 (assume @p77 (forall @t11 (=> @t16 (= @t120 (tptp.is_reflexive_in @t1 @t63))))) % 0.43/0.81 (assume @p78 true) % 0.43/0.81 (assume @p79 (forall @t11 (tptp.relation @t92))) % 0.43/0.81 (assume @p80 (forall @t11 (=> @t59 (and (tptp.relation @t153) (tptp.function @t153))))) % 0.43/0.81 (assume @p81 (forall @t11 (tptp.element @t118 @t93))) % 0.43/0.81 (assume @p82 (forall @t6 (=> @t16 (tptp.relation @t139)))) % 0.43/0.81 (assume @p83 (forall @t6 (=> @t132 (tptp.element @t131 @t93)))) % 0.43/0.81 (assume @p84 (forall @t11 (=> @t16 @t154))) % 0.43/0.81 (assume @p85 (forall @t21 (=> @t82 (tptp.element @t155 @t93)))) % 0.43/0.81 (assume @p86 (forall @t6 (=> @t157 @t156))) % 0.43/0.81 (assume @p87 (forall @t21 (=> @t82 (tptp.element @t159 @t158)))) % 0.43/0.81 (assume @p88 (forall @t6 (=> @t151 (tptp.element @t160 @t93)))) % 0.43/0.81 (assume @p89 (forall @t11 @t161)) % 0.43/0.81 (assume @p90 (forall @t6 (=> @t151 (tptp.element @t162 @t93)))) % 0.43/0.81 (assume @p91 (forall @t21 (=> @t165 (tptp.element @t163 @t93)))) % 0.43/0.81 (assume @p92 (forall @t6 (=> @t16 @t166))) % 0.43/0.81 (assume @p93 (forall @t6 (=> @t151 (tptp.element @t149 @t150)))) % 0.43/0.81 (assume @p94 (forall @t6 (=> @t41 @t167))) % 0.43/0.81 (assume @p95 (forall @t21 (=> @t168 @t20))) % 0.43/0.81 (assume @p96 (forall @t6 (exists @t62 @t82))) % 0.43/0.81 (assume @p97 (forall @t11 (exists @t75 @t97))) % 0.43/0.81 (assume @p98 (forall @t6 (exists @t62 @t168))) % 0.43/0.81 (assume @p99 (forall @t6 (=> @t170 (and (tptp.empty @t169) (tptp.relation @t169))))) % 0.43/0.81 (assume @p100 (forall @t11 (=> @t10 (and (tptp.empty @t140) @t154)))) % 0.43/0.81 (assume @p101 (and @t173 @t172 @t171)) % 0.43/0.81 (assume @p102 (forall @t6 (=> @t175 (and @t166 (tptp.relation_empty_yielding @t51))))) % 0.43/0.81 (assume @p103 (forall @t6 (=> (and @t16 @t9 @t41 @t176) (and @t156 (tptp.function @t147))))) % 0.43/0.81 (assume @p104 (forall @t11 @t177)) % 0.43/0.81 (assume @p105 (forall @t6 (=> @t157 (tptp.relation @t29)))) % 0.43/0.81 (assume @p106 (forall @t11 (not (tptp.empty @t93)))) % 0.43/0.81 (assume @p107 @t173) % 0.43/0.81 (assume @p108 (forall @t6 (not (tptp.empty @t133)))) % 0.43/0.81 (assume @p109 (forall @t11 (and @t161 (tptp.function @t39)))) % 0.43/0.81 (assume @p110 (and @t172 @t171 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t173 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.43/0.81 (assume @p111 (forall @t6 (=> @t157 (tptp.relation @t28)))) % 0.43/0.81 (assume @p112 (forall @t11 (not (tptp.empty @t78)))) % 0.43/0.81 (assume @p113 (forall @t6 (=> @t98 (not (tptp.empty @t28))))) % 0.43/0.81 (assume @p114 (forall @t11 (=> @t23 (and @t154 (tptp.function @t140))))) % 0.43/0.81 (assume @p115 (forall @t11 (=> @t15 (and @t177 (tptp.epsilon_transitive @t79) (tptp.epsilon_connected @t79) (tptp.ordinal @t79))))) % 0.43/0.81 (assume @p116 (forall @t6 (=> @t157 (tptp.relation @t127)))) % 0.43/0.81 (assume @p117 (forall @t6 (not (tptp.empty @t26)))) % 0.43/0.81 (assume @p118 (forall @t6 (=> @t98 (not (tptp.empty @t27))))) % 0.43/0.81 (assume @p119 (forall @t6 (=> @t59 (and @t166 (tptp.function @t51))))) % 0.43/0.81 (assume @p120 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t119) (tptp.epsilon_connected @t119) (tptp.ordinal @t119))))) % 0.43/0.81 (assume @p121 (and @t173 @t172)) % 0.43/0.81 (assume @p122 (forall @t6 (=> (and @t98 @t178) (not (tptp.empty @t19))))) % 0.43/0.81 (assume @p123 (forall @t6 (=> @t179 (and @t167 (tptp.function @t61))))) % 0.43/0.81 (assume @p124 (forall @t11 (=> @t181 (not @t180)))) % 0.43/0.81 (assume @p125 (forall @t11 (=> @t181 (not @t182)))) % 0.43/0.81 (assume @p126 (forall @t11 (=> @t10 (and @t180 (tptp.relation @t54))))) % 0.43/0.81 (assume @p127 (forall @t11 (=> @t10 (and @t182 (tptp.relation @t129))))) % 0.43/0.81 (assume @p128 (forall @t6 (=> @t170 (and (tptp.empty @t147) @t156)))) % 0.43/0.81 (assume @p129 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.43/0.81 (assume @p130 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.43/0.81 (assume @p131 (forall @t6 (=> @t132 (= (tptp.subset_complement @t1 @t131) @t2)))) % 0.43/0.81 (assume @p132 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t140) @t1)))) % 0.43/0.81 (assume @p133 (forall @t6 (=> @t151 (= (tptp.complements_of_subsets @t1 @t149) @t2)))) % 0.43/0.81 (assume @p134 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.43/0.81 (assume @p135 (forall @t11 (=> @t16 (= @t120 (forall @t75 (=> @t183 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 0.43/0.81 (assume @p136 (forall @t11 (not (= @t78 tptp.empty_set)))) % 0.43/0.81 (assume @p137 (forall @t6 (=> @t5 (= (tptp.set_union2 @t78 @t2) @t2)))) % 0.43/0.81 (assume @p138 (forall @t6 (not (and @t184 @t5)))) % 0.43/0.81 (assume @p139 (forall @t6 (=> @t185 @t184))) % 0.43/0.81 (assume @p140 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_dom @t61) @t186)))) % 0.43/0.81 (assume @p141 (forall @t11 (=> @t16 (= @t70 (forall @t187 (=> (and @t115 @t95) (tptp.in (tptp.ordered_pair @t2 @t33) @t1))))))) % 0.43/0.81 (assume @p142 (forall @t6 (= (tptp.subset @t78 @t2) @t5))) % 0.43/0.81 (assume @p143 (forall @t6 (=> @t41 (not (and @t188 (tptp.equipotent @t1 @t91) (forall @t62 (=> @t18 (not (tptp.well_orders @t17 @t1))))))))) % 0.43/0.81 (assume @p144 (forall @t6 (= (= @t127 tptp.empty_set) @t43))) % 0.43/0.81 (assume @p145 (forall @t6 (=> @t132 (forall @t62 (=> @t80 @t35))))) % 0.43/0.81 (assume @p146 (forall @t11 (=> @t16 (= @t64 (forall @t52 (=> (and @t115 @t189) @t73)))))) % 0.43/0.81 (assume @p147 (forall @t21 (=> @t43 (or @t35 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t17))))))) % 0.43/0.81 (assume @p148 (forall @t11 (=> @t16 (= @t69 (forall @t52 (not (and @t183 (tptp.in @t17 @t63) @t106 @t190 (not @t189)))))))) % 0.43/0.81 (assume @p149 (forall @t6 (= (tptp.subset @t1 @t191) (or @t85 (= @t1 @t191))))) % 0.43/0.81 (assume @p150 (forall @t6 (=> @t5 (tptp.subset @t1 @t192)))) % 0.43/0.81 (assume @p151 (forall @t72 (= (tptp.in @t133 (tptp.cartesian_product2 @t17 @t33)) (and @t193 (tptp.in @t2 @t33))))) % 0.43/0.81 (assume @p152 (forall @t6 (=> @t108 @t194))) % 0.43/0.81 (assume @p153 (forall @t21 (=> @t144 (= @t196 (and (tptp.in @t2 @t123) @t3))))) % 0.43/0.81 (assume @p154 (exists @t11 @t59)) % 0.43/0.81 (assume @p155 (exists @t11 @t25)) % 0.43/0.81 (assume @p156 (exists @t11 (and @t10 @t16))) % 0.43/0.81 (assume @p157 (forall @t11 (=> @t98 (exists @t75 (and @t132 @t178))))) % 0.43/0.81 (assume @p158 (exists @t11 @t10)) % 0.43/0.81 (assume @p159 (exists @t11 @t24)) % 0.43/0.81 (assume @p160 (exists @t11 (and @t16 @t9 @t22 @t10 @t13 @t12 @t15))) % 0.43/0.81 (assume @p161 (exists @t11 @t181)) % 0.43/0.81 (assume @p162 (forall @t11 (exists @t75 (and @t132 @t96)))) % 0.43/0.81 (assume @p163 (exists @t11 @t98)) % 0.43/0.81 (assume @p164 (exists @t11 @t23)) % 0.43/0.81 (assume @p165 (exists @t11 (and @t98 @t13 @t12 @t15))) % 0.43/0.81 (assume @p166 (exists @t11 @t175)) % 0.43/0.81 (assume @p167 (exists @t11 (and @t16 @t174 @t9))) % 0.43/0.81 (assume @p168 (forall @t21 (=> @t82 (= @t155 @t123)))) % 0.43/0.81 (assume @p169 (forall @t21 (=> @t82 (= @t159 @t122)))) % 0.43/0.81 (assume @p170 (forall @t6 (=> @t151 (= @t160 @t192)))) % 0.43/0.81 (assume @p171 (forall @t6 (=> @t151 (= @t162 (tptp.set_meet @t2))))) % 0.43/0.81 (assume @p172 (forall @t21 (=> @t165 (= @t163 @t197)))) % 0.43/0.81 (assume @p173 (forall @t21 (= @t168 @t82))) % 0.43/0.81 (assume @p174 (forall @t6 (=> @t32 (= @t30 @t43)))) % 0.43/0.81 (assume @p175 (forall @t6 (= @t126 (tptp.are_equipotent @t1 @t2)))) % 0.43/0.81 (assume @p176 (forall @t6 (=> @t32 (tptp.ordinal_subset @t1 @t1)))) % 0.43/0.81 (assume @p177 (forall @t6 (tptp.subset @t1 @t1))) % 0.43/0.81 (assume @p178 (forall @t6 (tptp.equipotent @t1 @t1))) % 0.43/0.81 (assume @p179 (forall @t11 (=> (exists @t75 (and @t31 @t3)) (exists @t75 (and @t31 @t3 (forall @t62 (=> @t198 (=> @t35 (tptp.ordinal_subset @t2 @t17))))))))) % 0.43/0.81 (assume @p180 (forall @t21 (=> @t202 (exists @t57 (and @t201 (forall @t104 (= (tptp.in @t102 @t33) (and @t60 @t200 (tptp.in (tptp.ordered_pair @t141 @t199) @t2))))))))) % 0.43/0.81 (assume @p181 @t241) % 0.43/0.81 (assume @p182 (forall @t21 (=> @t202 (=> (forall (@list @t33 @t45 @t101) (=> (and @t219 (exists (@list @t231 @t220) (and (= @t45 (tptp.ordered_pair @t231 @t220)) (tptp.in (tptp.ordered_pair @t245 (tptp.apply @t17 @t220)) @t2))) @t244 (exists (@list @t222 @t203) (and (= @t101 (tptp.ordered_pair @t222 @t203)) (tptp.in (tptp.ordered_pair (tptp.apply @t17 @t222) (tptp.apply @t17 @t203)) @t2)))) (= @t45 @t101))) (exists @t57 (forall @t55 (= @t71 (exists @t146 (and (tptp.in @t101 @t243) (= @t101 @t45) (exists (@list @t205 @t242) (and (= @t45 (tptp.ordered_pair @t205 @t242)) (tptp.in (tptp.ordered_pair (tptp.apply @t17 @t205) (tptp.apply @t17 @t242)) @t2)))))))))))) % 0.43/0.81 (assume @p183 (forall @t11 (=> (forall @t187 (=> (and @t73 @t198 @t94 @t246) @t34)) (exists @t75 (forall @t62 (= @t80 (exists @t57 (and @t87 (= @t33 @t17) @t198)))))))) % 0.43/0.81 (assume @p184 (forall @t6 (=> @t31 (=> (forall @t148 (=> (and @t34 (exists @t146 (and (tptp.ordinal @t101) @t244 @t200)) @t229 (exists @t249 (and (tptp.ordinal @t231) (= @t45 @t231) (tptp.in @t231 @t1)))) @t219)) (exists @t62 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t248) @t212 (exists @t247 (and (tptp.ordinal @t220) (= @t33 @t220) @t224))))))))))) % 0.43/0.81 (assume @p185 @t260) % 0.43/0.81 (assume @p186 (forall @t21 (=> @t202 (exists @t57 (forall @t55 (= @t71 (and (tptp.in @t45 @t243) (exists @t235 (and (= @t45 @t233) (tptp.in (tptp.ordered_pair @t199 @t245) @t2)))))))))) % 0.43/0.81 (assume @p187 (forall @t11 (exists @t75 (forall @t62 (= @t80 (and @t35 @t198)))))) % 0.43/0.81 (assume @p188 (forall @t6 (=> @t31 (exists @t62 (forall @t57 (= @t56 (and (tptp.in @t33 @t248) (exists @t55 (and (tptp.ordinal @t45) @t219 @t60))))))))) % 0.43/0.81 (assume @p189 (forall @t6 (=> @t145 (tptp.disjoint @t2 @t1)))) % 0.43/0.81 (assume @p190 (forall @t6 (=> @t126 (tptp.equipotent @t2 @t1)))) % 0.43/0.81 (assume @p191 (forall @t11 (tptp.in @t1 @t79))) % 0.43/0.81 (assume @p192 (forall @t72 (not (and (= @t26 (tptp.unordered_pair @t17 @t33)) (not @t261) (not (= @t1 @t33)))))) % 0.43/0.81 (assume @p193 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t122)))))) % 0.43/0.81 (assume @p194 (forall @t6 (=> @t41 (tptp.subset @t262 @t1)))) % 0.43/0.81 (assume @p195 (forall @t6 (=> @t41 (tptp.subset @t61 @t2)))) % 0.43/0.81 (assume @p196 (forall @t6 (=> @t41 (tptp.subset @t262 @t263)))) % 0.43/0.81 (assume @p197 (forall @t21 (=> @t43 (and (tptp.subset @t264 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 0.43/0.81 (assume @p198 (forall @t6 (=> @t41 (= @t262 (tptp.set_intersection2 @t263 @t1))))) % 0.43/0.81 (assume @p199 (forall @t72 (=> (and @t43 @t90) (tptp.subset @t264 (tptp.cartesian_product2 @t2 @t33))))) % 0.43/0.81 (assume @p200 (forall @t21 (=> @t168 (and (tptp.subset @t123 @t1) (tptp.subset @t122 @t2))))) % 0.43/0.81 (assume @p201 (forall @t6 (=> @t43 (= @t28 @t2)))) % 0.43/0.81 (assume @p202 (forall @t11 (exists @t75 (and @t5 @t267 (forall @t62 (=> @t80 (tptp.in @t266 @t2))) @t265)))) % 0.43/0.81 (assume @p203 (forall @t21 (=> @t18 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t268))))) % 0.43/0.81 (assume @p204 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_image @t17 @t2)) (exists @t57 (and (tptp.in @t33 @t123) (tptp.in (tptp.ordered_pair @t33 @t1) @t17) @t48)))))) % 0.43/0.81 (assume @p205 (forall @t6 (=> @t41 (tptp.subset @t269 @t263)))) % 0.43/0.81 (assume @p206 (forall @t6 (=> @t179 (tptp.subset @t271 @t1)))) % 0.43/0.81 (assume @p207 (forall @t6 (=> @t41 (= @t269 (tptp.relation_image @t2 @t272))))) % 0.43/0.81 (assume @p208 (forall @t6 (=> @t41 (=> (tptp.subset @t1 @t186) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t269)))))) % 0.43/0.81 (assume @p209 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t54) @t129)))) % 0.43/0.81 (assume @p210 (forall @t6 (=> @t179 (=> @t273 (= @t271 @t1))))) % 0.43/0.81 (assume @p211 (forall @t72 (=> @t275 (=> (tptp.subset (tptp.relation_rng @t33) @t2) @t274)))) % 0.43/0.81 (assume @p212 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t276 (tptp.relation_image @t2 @t129))))))) % 0.43/0.81 (assume @p213 (forall @t21 (=> @t18 (= (tptp.in @t1 @t277) (exists @t57 (and (tptp.in @t33 @t122) (tptp.in (tptp.ordered_pair @t1 @t33) @t17) @t48)))))) % 0.43/0.81 (assume @p214 (forall @t6 (=> @t41 (tptp.subset @t270 @t186)))) % 0.43/0.81 (assume @p215 (forall @t72 (=> @t275 (=> @t43 @t274)))) % 0.43/0.81 (assume @p216 (forall @t21 (=> @t18 (= (tptp.in @t1 @t278) (and @t193 (tptp.in @t1 @t138)))))) % 0.43/0.81 (assume @p217 (forall @t6 (=> @t41 (not (and @t88 @t273 (= @t270 tptp.empty_set)))))) % 0.43/0.81 (assume @p218 (forall @t21 (=> @t18 (=> @t43 (tptp.subset (tptp.relation_inverse_image @t17 @t1) @t277))))) % 0.43/0.81 (assume @p219 (forall @t6 (=> @t41 (= @t279 (tptp.relation_dom_restriction @t61 @t1))))) % 0.43/0.81 (assume @p220 (forall @t6 (tptp.subset @t29 @t1))) % 0.43/0.81 (assume @p221 (forall @t6 (=> @t41 (= @t279 (tptp.relation_rng_restriction @t1 @t280))))) % 0.43/0.81 (assume @p222 (forall @t21 (=> @t18 (=> (tptp.in @t1 (tptp.relation_field @t278)) (and @t282 @t5))))) % 0.43/0.81 (assume @p223 (forall @t21 (=> (and @t43 @t284) (tptp.subset @t1 @t283)))) % 0.43/0.81 (assume @p224 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.43/0.81 (assume @p225 (forall @t6 (=> @t5 @t285))) % 0.43/0.81 (assume @p226 (forall @t21 (=> (and @t43 (tptp.subset @t2 @t17)) @t284))) % 0.43/0.81 (assume @p227 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 0.43/0.81 (assume @p228 (forall @t21 (=> @t18 (=> @t287 (and @t286 (tptp.in @t2 @t122)))))) % 0.43/0.81 (assume @p229 (forall @t6 (=> @t41 (and (tptp.subset @t288 @t91) (tptp.subset @t288 @t1))))) % 0.43/0.81 (assume @p230 (forall @t6 (=> @t179 (forall @t62 (=> @t144 (= @t291 (and @t286 (tptp.in @t289 @t186)))))))) % 0.43/0.81 (assume @p231 (forall @t11 (=> @t13 (forall @t75 (=> @t31 (=> @t8 @t5)))))) % 0.43/0.81 (assume @p232 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t54 @t129))))) % 0.43/0.81 (assume @p233 (forall @t21 (=> @t18 (tptp.subset (tptp.fiber (tptp.relation_restriction @t17 @t1) @t2) (tptp.fiber @t17 @t2))))) % 0.43/0.81 (assume @p234 (forall @t6 (=> @t179 (forall @t62 (=> @t144 (=> @t291 (= (tptp.apply @t290 @t1) (tptp.apply @t2 @t289)))))))) % 0.43/0.81 (assume @p235 (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))))) % 0.43/0.81 (assume @p236 (forall @t6 (=> @t41 (=> @t292 (tptp.reflexive @t279))))) % 0.43/0.81 (assume @p237 (forall @t6 (=> @t179 (forall @t62 (=> @t144 (=> (tptp.in @t1 @t186) (= (tptp.apply (tptp.relation_composition @t2 @t17) @t1) (tptp.apply @t17 (tptp.apply @t2 @t1))))))))) % 0.43/0.81 (assume @p238 (forall @t6 (=> @t31 (=> @t5 @t15)))) % 0.43/0.81 (assume @p239 (forall @t21 (=> @t168 (= (forall @t57 (not (and @t48 (forall @t55 (not (tptp.in @t68 @t17)))))) (= @t159 @t2))))) % 0.43/0.81 (assume @p240 (forall @t6 (=> @t41 (=> @t293 (tptp.connected @t279))))) % 0.43/0.81 (assume @p241 (forall @t11 (=> @t15 (forall @t75 (=> @t31 (not (and @t185 @t152 @t4))))))) % 0.43/0.81 (assume @p242 (forall @t6 (=> @t41 (=> @t294 (tptp.transitive @t279))))) % 0.43/0.81 (assume @p243 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> @t43 (and (tptp.subset @t54 @t186) (tptp.subset @t129 @t263)))))))) % 0.43/0.81 (assume @p244 (forall @t6 (=> @t41 (=> @t295 (tptp.antisymmetric @t279))))) % 0.43/0.81 (assume @p245 (forall @t6 (=> @t41 (=> (tptp.well_orders @t2 @t1) (and @t297 @t296))))) % 0.43/0.81 (assume @p246 (forall @t21 (=> @t43 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t283)))) % 0.43/0.81 (assume @p247 (forall @t6 (=> @t43 (= @t29 @t1)))) % 0.43/0.81 (assume @p248 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.43/0.81 (assume @p249 (forall @t6 (=> @t285 (or @t96 @t5)))) % 0.43/0.81 (assume @p250 (forall @t6 (=> (forall @t62 (= @t35 @t80)) @t44))) % 0.43/0.81 (assume @p251 (forall @t11 (tptp.reflexive @t92))) % 0.43/0.81 (assume @p252 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 0.43/0.81 (assume @p253 (forall @t21 (=> @t18 (=> @t287 (and @t282 (tptp.in @t2 @t281)))))) % 0.43/0.81 (assume @p254 (forall @t11 (=> (forall @t75 (=> @t3 (and @t31 @t42))) @t15))) % 0.43/0.81 (assume @p255 (forall @t6 (=> @t41 (=> @t298 (tptp.well_founded_relation @t279))))) % 0.43/0.81 (assume @p256 (forall @t6 (=> @t31 (not (and @t43 @t88 (forall @t62 (=> @t198 (not (and @t35 (forall @t57 (=> @t246 (=> @t87 (tptp.ordinal_subset @t17 @t33))))))))))))) % 0.43/0.81 (assume @p257 (forall @t6 (=> @t41 (=> @t188 @t296)))) % 0.43/0.81 (assume @p258 (forall @t11 (=> @t15 (forall @t75 (=> @t31 (= @t5 (tptp.ordinal_subset @t79 @t2))))))) % 0.43/0.81 (assume @p259 (forall @t21 (=> @t43 (tptp.subset (tptp.set_difference @t1 @t17) @t197)))) % 0.43/0.81 (assume @p260 (forall @t72 (=> (= @t133 @t36) (and @t261 @t94)))) % 0.43/0.81 (assume @p261 (forall @t6 (=> @t179 (= @t40 (and (= @t186 @t1) (forall @t62 (=> @t35 (= @t299 @t17)))))))) % 0.43/0.81 (assume @p262 (forall @t6 (=> @t3 (= (tptp.apply @t39 @t2) @t2)))) % 0.43/0.81 (assume @p263 (forall @t6 (tptp.subset @t127 @t1))) % 0.43/0.81 (assume @p264 (forall @t11 (=> @t16 (and (= @t129 (tptp.relation_dom @t140)) (= @t54 (tptp.relation_rng @t140)))))) % 0.43/0.81 (assume @p265 (forall @t21 (= (tptp.subset @t26 @t17) (and @t193 @t107)))) % 0.43/0.81 (assume @p266 (forall @t6 (=> @t41 (=> (and @t188 (tptp.subset @t1 @t91)) @t297)))) % 0.43/0.81 (assume @p267 (forall @t6 (= @t300 @t28))) % 0.43/0.81 (assume @p268 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.43/0.81 (assume @p269 (forall @t21 (not (and @t5 @t107 @t35)))) % 0.43/0.81 (assume @p270 (forall @t6 (= @t194 @t43))) % 0.43/0.81 (assume @p271 (forall @t11 (tptp.transitive @t92))) % 0.43/0.81 (assume @p272 (forall @t6 (and (not (and @t302 (forall @t62 (not @t301)))) (not (and (exists @t62 @t301) @t145))))) % 0.43/0.81 (assume @p273 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t85))) % 0.43/0.81 (assume @p274 (forall @t6 (= (tptp.set_difference @t28 @t2) @t127))) % 0.43/0.81 (assume @p275 (forall @t11 (=> @t15 (= @t136 (forall @t75 (=> @t31 (=> @t3 (tptp.in @t248 @t1)))))))) % 0.43/0.81 (assume @p276 (forall @t11 (=> @t15 (and (not (and (not @t136) (forall @t75 (=> @t31 (not @t303))))) (not (and (exists @t75 (and @t31 @t303)) @t136)))))) % 0.43/0.81 (assume @p277 (forall @t6 (=> @t132 (forall @t62 (=> @t164 (= @t305 (tptp.subset @t2 @t304))))))) % 0.43/0.81 (assume @p278 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (tptp.subset @t306 @t54)))))) % 0.43/0.81 (assume @p279 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (tptp.subset @t276 @t263)))))) % 0.43/0.81 (assume @p280 (forall @t6 (=> @t43 (= @t2 @t300)))) % 0.43/0.81 (assume @p281 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> (tptp.subset @t129 @t186) (= @t306 @t54))))))) % 0.43/0.81 (assume @p282 (forall @t6 (=> @t151 (not (and @t99 (= @t149 tptp.empty_set)))))) % 0.43/0.81 (assume @p283 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> (tptp.subset @t54 @t263) (= (tptp.relation_rng @t169) @t129))))))) % 0.43/0.81 (assume @p284 (forall @t6 (=> @t151 (=> @t99 (= (tptp.subset_difference @t1 @t118 @t160) (tptp.meet_of_subsets @t1 @t149)))))) % 0.43/0.81 (assume @p285 (forall @t6 (=> @t151 (=> @t99 (= (tptp.union_of_subsets @t1 @t149) (tptp.subset_difference @t1 @t118 @t162)))))) % 0.43/0.81 (assume @p286 (forall @t6 (= (tptp.set_difference @t1 @t127) @t29))) % 0.43/0.81 (assume @p287 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t144 (=> @t143 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t17)))))))))) % 0.43/0.81 (assume @p288 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.43/0.81 (assume @p289 (forall @t21 (=> (and @t5 @t307) (tptp.element @t1 @t17)))) % 0.43/0.81 (assume @p290 (forall @t11 (=> @t15 (tptp.connected @t92)))) % 0.43/0.81 (assume @p291 (forall @t6 (and (not (and @t302 (forall @t62 (not @t308)))) (not (and (exists @t62 @t308) @t145))))) % 0.43/0.81 (assume @p292 (forall @t11 (=> @t88 (forall @t75 (=> @t132 (forall @t62 (=> (tptp.element @t17 @t1) (=> @t105 (tptp.in @t17 @t131))))))))) % 0.43/0.81 (assume @p293 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t144 (=> @t143 (and (=> @t120 @t292) (=> @t70 @t294) (=> @t69 @t293) (=> @t64 @t295) (=> @t100 @t298)))))))))) % 0.43/0.81 (assume @p294 (forall @t11 (=> @t59 (=> @t22 (forall @t75 (=> @t179 (= (= @t2 @t153) (and (= @t186 @t129) (forall @t38 (and (=> @t309 @t128) (=> @t128 @t309))))))))))) % 0.43/0.81 (assume @p295 (forall @t21 (=> @t164 (not (and (tptp.in @t2 @t304) @t107))))) % 0.43/0.81 (assume @p296 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t144 (=> (and @t121 @t143) @t188)))))))) % 0.43/0.81 (assume @p297 (forall @t11 (=> @t59 (=> @t22 (and (= @t129 (tptp.relation_dom @t153)) (= @t54 (tptp.relation_rng @t153))))))) % 0.43/0.81 (assume @p298 (forall @t11 (=> @t16 (=> (forall @t52 @t190) @t85)))) % 0.43/0.81 (assume @p299 (forall @t6 (=> @t179 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t263)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t310 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t310 @t2) @t1))))))) % 0.43/0.81 (assume @p300 (forall @t21 (not (and @t5 @t307 (tptp.empty @t17))))) % 0.43/0.81 (assume @p301 (forall @t11 (=> @t16 (= @t100 (tptp.is_well_founded_in @t1 @t63))))) % 0.43/0.81 (assume @p302 (forall @t11 (tptp.antisymmetric @t92))) % 0.43/0.81 (assume @p303 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.43/0.81 (assume @p304 (forall @t6 (not (and @t43 @t7)))) % 0.43/0.81 (assume @p305 (forall @t11 (=> @t59 (=> @t22 (tptp.one_to_one @t153))))) % 0.43/0.81 (assume @p306 (forall @t21 (=> (and @t43 @t305) (tptp.disjoint @t1 @t17)))) % 0.43/0.81 (assume @p307 (forall @t11 (=> @t16 (=> (or @t312 @t311) @t85)))) % 0.43/0.81 (assume @p308 (forall @t11 (=> @t16 (= @t312 @t311)))) % 0.43/0.81 (assume @p309 (forall @t6 (= (= (tptp.set_difference @t1 @t191) @t1) @t4))) % 0.43/0.81 (assume @p310 (forall @t6 (=> @t179 (forall @t62 (=> @t144 (= (= @t2 @t195) (and (= @t186 (tptp.set_intersection2 @t123 @t1)) (forall @t57 (=> (tptp.in @t33 @t186) (= (tptp.apply @t2 @t33) @t142)))))))))) % 0.43/0.81 (assume @p311 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t78))) % 0.43/0.81 (assume @p312 (forall @t11 (=> @t10 @t85))) % 0.43/0.81 (assume @p313 (forall @t11 (=> @t15 (tptp.well_founded_relation @t92)))) % 0.43/0.81 (assume @p314 (forall @t6 (=> (tptp.subset @t78 @t191) @t44))) % 0.43/0.81 (assume @p315 (forall @t21 (=> @t144 (=> @t196 @t313)))) % 0.43/0.81 (assume @p316 (forall @t11 (and (= (tptp.relation_dom @t39) @t1) (= (tptp.relation_rng @t39) @t1)))) % 0.43/0.81 (assume @p317 (forall @t21 (=> @t144 (=> @t3 @t313)))) % 0.43/0.81 (assume @p318 (forall @t72 (=> @t201 (= (tptp.in @t133 (tptp.relation_composition (tptp.identity_relation @t17) @t33)) (and @t193 (tptp.in @t133 @t33)))))) % 0.43/0.81 (assume @p319 (forall @t6 (not (and @t5 @t96)))) % 0.43/0.81 (assume @p320 (forall @t6 (and (= (tptp.pair_first @t133) @t1) (= (tptp.pair_second @t133) @t2)))) % 0.43/0.81 (assume @p321 (forall @t6 (not (and @t5 (forall @t62 (not (and @t80 (forall @t57 (not (and @t48 @t56)))))))))) % 0.43/0.81 (assume @p322 (forall @t11 (=> @t15 (tptp.well_ordering @t92)))) % 0.43/0.81 (assume @p323 (forall @t6 (tptp.subset @t1 @t28))) % 0.43/0.81 (assume @p324 (forall @t6 (= @t145 (= @t127 @t1)))) % 0.43/0.81 (assume @p325 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_dom @t268)) (and @t5 @t286))))) % 0.43/0.81 (assume @p326 (forall @t6 (=> @t41 (tptp.subset @t280 @t2)))) % 0.43/0.81 (assume @p327 (forall @t6 (not (and @t10 @t152 @t96)))) % 0.43/0.81 (assume @p328 (forall @t21 (=> @t144 (= @t287 (and @t286 (= @t2 @t289)))))) % 0.43/0.81 (assume @p329 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t63) @t121)))) % 0.43/0.81 (assume @p330 (forall @t21 (=> (and @t43 @t110) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 0.43/0.81 (assume @p331 (forall @t21 (=> @t314 @t44))) % 0.43/0.81 (assume @p332 (forall @t6 (=> @t41 (= (tptp.relation_dom @t280) @t272)))) % 0.43/0.81 (assume @p333 (forall @t6 (=> @t41 (= @t280 (tptp.relation_composition @t39 @t2))))) % 0.43/0.81 (assume @p334 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_rng @t280) @t263)))) % 0.43/0.81 (assume @p335 (forall @t11 (= (tptp.union @t93) @t1))) % 0.43/0.81 (assume @p336 (forall @t11 (exists @t75 (and @t5 @t267 (forall @t62 (not (and @t80 (forall @t57 (not (and @t48 (forall @t55 (=> (tptp.subset @t45 @t17) @t71)))))))) @t265)))) % 0.43/0.81 (assume @p337 (forall @t21 (=> @t314 @t73))) % 0.43/0.81 (step @p338 :rule bool-impl-true2 :args (@t322)) % 0.43/0.81 (step @p339 :rule exists-elim :args ((= (exists @t62 @t321) @t322))) % 0.43/0.81 (step @p340 :rule bool-double-not-elim :args (@t254)) % 0.43/0.81 (step @p341 :rule refl :args (@t320)) % 0.43/0.81 (step @p342 :rule nary_cong :premises (@p341 @p340) :args ((and @t320 (not @t323)))) % 0.43/0.81 (step @p343 :rule bool-or-de-morgan :args (@t319 @t323 false)) % 0.43/0.81 (step @p344 :rule trans :premises (@p343 @p342)) % 0.43/0.81 (step @p345 :rule refl :args (@t56)) % 0.43/0.81 (step @p346 :rule cong :premises (@p345 @p344) :args (@t324)) % 0.43/0.81 (step @p347 :rule cong :premises (@p346) :args ((forall @t57 @t324))) % 0.43/0.81 (step @p348 :rule aci_norm :args ((= (or @t323 false) @t323))) % 0.43/0.81 (step @p349 :rule evaluate :args ((not true))) % 0.43/0.81 (step @p350 :rule eq-refl :args (@t33)) % 0.43/0.81 (step @p351 :rule cong :premises (@p350) :args (@t325)) % 0.43/0.81 (step @p352 :rule trans :premises (@p351 @p349)) % 0.43/0.81 (step @p353 :rule refl :args (@t323)) % 0.43/0.81 (step @p354 :rule nary_cong :premises (@p353 @p352) :args (@t326)) % 0.43/0.81 (step @p355 :rule trans :premises (@p354 @p348)) % 0.43/0.81 (step @p356 :rule quant-var-elim-eq :args ((= (forall @t55 (or (not @t212) @t328 @t327)) @t326))) % 0.43/0.81 (step @p357 :rule refl :args (@t327)) % 0.43/0.81 (step @p358 :rule refl :args (@t328)) % 0.43/0.81 (step @p359 :rule eq-symm :args (@t33 @t45)) % 0.43/0.81 (step @p360 :rule cong :premises (@p359) :args (@t327)) % 0.43/0.81 (step @p361 :rule nary_cong :premises (@p360 @p358 @p357) :args (@t329)) % 0.43/0.81 (step @p362 :rule aci_norm :args ((= @t330 @t329))) % 0.43/0.81 (step @p363 :rule trans :premises (@p362 @p361)) % 0.43/0.81 (step @p364 :rule cong :premises (@p363) :args (@t331)) % 0.43/0.81 (step @p365 :rule trans :premises (@p364 @p356)) % 0.43/0.81 (step @p366 :rule trans :premises (@p365 @p355)) % 0.43/0.81 (step @p367 :rule refl :args (@t319)) % 0.43/0.81 (step @p368 :rule nary_cong :premises (@p367 @p366) :args (@t332)) % 0.43/0.81 (step @p369 :rule quant-miniscope-or :args ((= (forall @t55 @t333) @t332))) % 0.43/0.81 (step @p370 :rule aci_norm :args ((= @t334 @t333))) % 0.43/0.81 (step @p371 :rule cong :premises (@p370) :args ((forall @t55 @t334))) % 0.43/0.81 (step @p372 :rule trans :premises (@p371 @p369)) % 0.43/0.81 (step @p373 :rule trans :premises (@p372 @p368)) % 0.43/0.81 (step @p374 :rule bool-double-not-elim :args (@t319)) % 0.43/0.81 (step @p375 :rule nary_cong :premises (@p358 @p357 @p374) :args (@t336)) % 0.43/0.81 (step @p376 :rule aci_norm :args ((= (or @t328 (or @t327 @t335)) @t336))) % 0.43/0.81 (step @p377 :rule trans :premises (@p376 @p375)) % 0.43/0.81 (step @p378 :rule bool-and-de-morgan :args (@t219 @t320 true)) % 0.43/0.81 (step @p379 :rule nary_cong :premises (@p358 @p378) :args ((or @t328 (not (and @t219 @t320))))) % 0.43/0.81 (step @p380 :rule bool-and-de-morgan :args (@t213 @t219 (and @t320))) % 0.43/0.81 (step @p381 :rule trans :premises (@p380 @p379)) % 0.43/0.81 (step @p382 :rule trans :premises (@p381 @p377)) % 0.43/0.81 (step @p383 :rule cong :premises (@p382) :args (@t338)) % 0.43/0.81 (step @p384 :rule trans :premises (@p383 @p373)) % 0.43/0.81 (step @p385 :rule cong :premises (@p384) :args (@t339)) % 0.43/0.81 (step @p386 :rule exists-elim :args ((= (exists @t55 @t337) @t339))) % 0.43/0.81 (step @p387 :rule trans :premises (@p386 @p385)) % 0.43/0.81 (step @p388 :rule aci_norm :args ((= (or @t316 @t315 false) @t317))) % 0.43/0.81 (step @p389 :rule eq-refl :args (@t204)) % 0.43/0.81 (step @p390 :rule cong :premises (@p389) :args (@t340)) % 0.43/0.81 (step @p391 :rule trans :premises (@p390 @p349)) % 0.43/0.81 (step @p392 :rule refl :args (@t315)) % 0.43/0.81 (step @p393 :rule refl :args (@t316)) % 0.43/0.81 (step @p394 :rule nary_cong :premises (@p393 @p392 @p391) :args (@t341)) % 0.43/0.81 (step @p395 :rule trans :premises (@p394 @p388)) % 0.43/0.81 (step @p396 :rule cong :premises (@p395) :args ((forall @t318 @t341))) % 0.43/0.81 (step @p397 :rule quant-var-elim-eq :args ((= (forall @t346 @t345) @t341))) % 0.43/0.81 (step @p398 :rule aci_norm :args ((= @t347 @t345))) % 0.43/0.81 (step @p399 :rule cong :premises (@p398) :args (@t348)) % 0.43/0.81 (step @p400 :rule trans :premises (@p399 @p397)) % 0.43/0.81 (step @p401 :rule cong :premises (@p400) :args (@t349)) % 0.43/0.81 (step @p402 :rule quant-merge-prenex :args ((= @t349 (forall @t210 @t347)))) % 0.43/0.81 (step @p403 :rule symm :premises (@p402)) % 0.43/0.81 (step @p404 :rule trans :premises (@p403 @p401)) % 0.43/0.81 (step @p405 :rule trans :premises (@p404 @p396)) % 0.43/0.81 (step @p406 :rule aci_norm :args ((= (or @t344 (or @t315 @t342)) @t347))) % 0.43/0.81 (step @p407 :rule bool-and-de-morgan :args (@t207 @t206 true)) % 0.43/0.81 (step @p408 :rule refl :args (@t344)) % 0.43/0.81 (step @p409 :rule nary_cong :premises (@p408 @p407) :args ((or @t344 (not (and @t207 @t206))))) % 0.43/0.81 (step @p410 :rule bool-and-de-morgan :args (@t343 @t207 (and @t206))) % 0.43/0.81 (step @p411 :rule trans :premises (@p410 @p409)) % 0.43/0.81 (step @p412 :rule trans :premises (@p411 @p406)) % 0.43/0.81 (step @p413 :rule cong :premises (@p412) :args (@t351)) % 0.43/0.81 (step @p414 :rule trans :premises (@p413 @p405)) % 0.43/0.81 (step @p415 :rule cong :premises (@p414) :args (@t352)) % 0.43/0.81 (step @p416 :rule exists-elim :args ((= (exists @t210 @t350) @t352))) % 0.43/0.81 (step @p417 :rule trans :premises (@p416 @p415)) % 0.43/0.81 (step @p418 :rule refl :args (@t206)) % 0.43/0.81 (step @p419 :rule refl :args (@t207)) % 0.43/0.81 (step @p420 :rule eq-symm :args (@t208 @t33)) % 0.43/0.81 (step @p421 :rule nary_cong :premises (@p420 @p419 @p418) :args (@t209)) % 0.43/0.81 (step @p422 :rule cong :premises (@p421) :args (@t211)) % 0.43/0.81 (step @p423 :rule trans :premises (@p422 @p417)) % 0.43/0.81 (step @p424 :rule eq-symm :args (@t45 @t33)) % 0.43/0.81 (step @p425 :rule refl :args (@t213)) % 0.43/0.81 (step @p426 :rule nary_cong :premises (@p425 @p424 @p423) :args (@t214)) % 0.43/0.81 (step @p427 :rule cong :premises (@p426) :args (@t215)) % 0.43/0.81 (step @p428 :rule trans :premises (@p427 @p387)) % 0.43/0.81 (step @p429 :rule refl :args (@t56)) % 0.43/0.81 (step @p430 :rule cong :premises (@p429 @p428) :args (@t216)) % 0.43/0.81 (step @p431 :rule cong :premises (@p430) :args (@t217)) % 0.43/0.81 (step @p432 :rule trans :premises (@p431 @p347)) % 0.43/0.81 (step @p433 :rule cong :premises (@p432) :args (@t218)) % 0.43/0.81 (step @p434 :rule trans :premises (@p433 @p339)) % 0.43/0.81 (step @p435 :rule quant-unused-vars :args ((= (forall @t355 true) true))) % 0.43/0.81 (step @p436 :rule bool-or-taut2 :args (false @t219 false (or @t359 @t358 @t357 @t356))) % 0.43/0.81 (step @p437 :rule cong :premises (@p436) :args ((forall @t355 @t360))) % 0.43/0.81 (step @p438 :rule trans :premises (@p437 @p435)) % 0.43/0.81 (step @p439 :rule aci_norm :args ((= (or false @t327 @t219 @t359 @t358 @t357 @t356) @t360))) % 0.43/0.81 (step @p440 :rule refl :args (@t356)) % 0.43/0.81 (step @p441 :rule refl :args (@t357)) % 0.43/0.81 (step @p442 :rule refl :args (@t358)) % 0.43/0.81 (step @p443 :rule refl :args (@t359)) % 0.43/0.81 (step @p444 :rule refl :args (@t219)) % 0.43/0.81 (step @p445 :rule refl :args (@t327)) % 0.43/0.81 (step @p446 :rule nary_cong :premises (@p352 @p445 @p444 @p443 @p442 @p441 @p440) :args (@t361)) % 0.43/0.81 (step @p447 :rule trans :premises (@p446 @p439)) % 0.43/0.81 (step @p448 :rule cong :premises (@p447) :args ((forall @t355 @t361))) % 0.43/0.81 (step @p449 :rule trans :premises (@p448 @p438)) % 0.43/0.81 (step @p450 :rule quant-var-elim-eq :args ((= (forall @t62 @t363) @t361))) % 0.43/0.81 (step @p451 :rule aci_norm :args ((= @t364 @t363))) % 0.43/0.81 (step @p452 :rule cong :premises (@p451) :args (@t365)) % 0.43/0.81 (step @p453 :rule trans :premises (@p452 @p450)) % 0.43/0.81 (step @p454 :rule cong :premises (@p453) :args (@t366)) % 0.43/0.81 (step @p455 :rule quant-merge-prenex :args ((= @t366 @t367))) % 0.43/0.81 (step @p456 :rule symm :premises (@p455)) % 0.43/0.81 (step @p457 :rule quant_var_reordering :args ((= (forall @t368 @t364) @t367))) % 0.43/0.81 (step @p458 :rule trans :premises (@p457 @p456 @p454)) % 0.43/0.81 (step @p459 :rule trans :premises (@p458 @p449)) % 0.43/0.81 (step @p460 :rule aci_norm :args ((= @t371 @t364))) % 0.43/0.81 (step @p461 :rule cong :premises (@p460) :args (@t372)) % 0.43/0.81 (step @p462 :rule trans :premises (@p461 @p459)) % 0.43/0.81 (step @p463 :rule quant-merge-prenex :args ((= (forall @t148 @t373) @t372))) % 0.43/0.81 (step @p464 :rule refl :args (@t219)) % 0.43/0.81 (step @p465 :rule alpha_equiv :args (@t374 (@list @t353) (@list @t220))) % 0.43/0.81 (step @p466 :rule refl :args (@t362)) % 0.43/0.81 (step @p467 :rule alpha_equiv :args (@t375 (@list @t354) (@list @t101))) % 0.43/0.81 (step @p468 :rule refl :args (@t137)) % 0.43/0.81 (step @p469 :rule nary_cong :premises (@p468 @p467 @p466 @p465 @p464) :args (@t376)) % 0.43/0.81 (step @p470 :rule quant-miniscope-or :args ((= @t373 @t376))) % 0.43/0.81 (step @p471 :rule trans :premises (@p470 @p469)) % 0.43/0.81 (step @p472 :rule symm :premises (@p471)) % 0.43/0.81 (step @p473 :rule cong :premises (@p472) :args ((forall @t148 @t385))) % 0.43/0.81 (step @p474 :rule trans :premises (@p473 @p463)) % 0.43/0.81 (step @p475 :rule trans :premises (@p474 @p462)) % 0.43/0.81 (step @p476 :rule aci_norm :args ((= (or (or @t137 @t384 @t362 @t380) @t219) @t385))) % 0.43/0.81 (step @p477 :rule bool-double-not-elim :args (@t380)) % 0.43/0.81 (step @p478 :rule bool-double-not-elim :args (@t384)) % 0.43/0.81 (step @p479 :rule nary_cong :premises (@p468 @p478 @p466 @p477) :args (@t390)) % 0.43/0.81 (step @p480 :rule aci_norm :args ((= (or @t137 (or @t389 (or @t362 @t387))) @t390))) % 0.43/0.81 (step @p481 :rule trans :premises (@p480 @p479)) % 0.43/0.81 (step @p482 :rule bool-and-de-morgan :args (@t229 @t386 true)) % 0.43/0.81 (step @p483 :rule refl :args (@t389)) % 0.43/0.81 (step @p484 :rule nary_cong :premises (@p483 @p482) :args ((or @t389 (not (and @t229 @t386))))) % 0.43/0.81 (step @p485 :rule bool-and-de-morgan :args (@t388 @t229 (and @t386))) % 0.43/0.81 (step @p486 :rule trans :premises (@p485 @p484)) % 0.43/0.81 (step @p487 :rule nary_cong :premises (@p468 @p486) :args ((or @t137 (not (and @t388 @t229 @t386))))) % 0.43/0.81 (step @p488 :rule bool-and-de-morgan :args (@t34 @t388 (and @t229 @t386))) % 0.43/0.81 (step @p489 :rule trans :premises (@p488 @p487)) % 0.43/0.81 (step @p490 :rule trans :premises (@p489 @p481)) % 0.43/0.81 (step @p491 :rule nary_cong :premises (@p490 @p464) :args ((or (not @t391) @t219))) % 0.43/0.81 (step @p492 :rule trans :premises (@p491 @p476)) % 0.43/0.81 (step @p493 :rule bool-impl-elim :args (@t391 @t219)) % 0.43/0.81 (step @p494 :rule trans :premises (@p493 @p492)) % 0.43/0.81 (step @p495 :rule cong :premises 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:rule refl :args (@t409)) % 0.43/0.81 (step @p555 :rule nary_cong :premises (@p554 @p553) :args ((or @t409 (not (and @t200 @t232))))) % 0.43/0.81 (step @p556 :rule bool-and-de-morgan :args (@t408 @t200 (and @t232))) % 0.43/0.81 (step @p557 :rule trans :premises (@p556 @p555)) % 0.43/0.81 (step @p558 :rule trans :premises (@p557 @p552)) % 0.43/0.81 (step @p559 :rule cong :premises (@p558) :args (@t415)) % 0.43/0.81 (step @p560 :rule trans :premises (@p559 @p551)) % 0.43/0.81 (step @p561 :rule cong :premises (@p560) :args (@t416)) % 0.43/0.81 (step @p562 :rule exists-elim :args ((= (exists @t235 @t414) @t416))) % 0.43/0.81 (step @p563 :rule trans :premises (@p562 @p561)) % 0.43/0.81 (step @p564 :rule refl :args (@t232)) % 0.43/0.81 (step @p565 :rule refl :args (@t200)) % 0.43/0.81 (step @p566 :rule eq-symm :args (@t233 @t33)) % 0.43/0.81 (step @p567 :rule nary_cong :premises (@p566 @p565 @p564) :args (@t234)) % 0.43/0.81 (step @p568 :rule cong :premises (@p567) :args (@t236)) % 0.43/0.81 (step @p569 :rule trans :premises (@p568 @p563)) % 0.43/0.81 (step @p570 :rule refl :args (@t34)) % 0.43/0.81 (step @p571 :rule nary_cong :premises (@p570 @p569 @p533 @p532) :args (@t237)) % 0.43/0.81 (step @p572 :rule cong :premises (@p571 @p444) :args (@t238)) % 0.43/0.81 (step @p573 :rule cong :premises (@p572) :args (@t239)) % 0.43/0.81 (step @p574 :rule trans :premises (@p573 @p496)) % 0.43/0.81 (step @p575 :rule cong :premises (@p574 @p434) :args (@t240)) % 0.43/0.81 (step @p576 :rule trans :premises (@p575 @p338)) % 0.43/0.81 (step @p577 :rule cong :premises (@p576) :args (@t241)) % 0.43/0.81 (step @p578 :rule eq_resolve :premises (@p181 @p577)) % 0.43/0.81 (step @p579 :rule aci_norm :args ((= @t422 @t421))) % 0.43/0.81 (step @p580 :rule cong :premises (@p345 @p579) :args (@t423)) % 0.43/0.81 (step @p581 :rule cong :premises (@p580) :args (@t424)) % 0.43/0.81 (step @p582 :rule cong :premises (@p581) :args (@t425)) % 0.43/0.81 (step @p583 :rule cong :premises (@p582) :args (@t426)) % 0.43/0.81 (step @p584 :rule cong :premises (@p583) :args (@t427)) % 0.43/0.81 (step @p585 :rule cong :premises (@p584) :args (@t428)) % 0.43/0.81 (step @p586 :rule symm :premises (@p585)) % 0.43/0.81 (step @p587 :rule true_intro :premises (@p586)) % 0.43/0.81 (step @p588 :rule eq-symm :args (@t428 @t429)) % 0.43/0.81 (step @p589 :rule trans :premises (@p588 @p587)) % 0.43/0.81 (step @p590 :rule cong :premises (@p586 @p585) :args ((= @t429 @t428))) % 0.43/0.81 (step @p591 :rule trans :premises (@p590 @p589)) % 0.43/0.81 (step @p592 :rule true_elim :premises (@p591)) % 0.43/0.81 (step @p593 :rule alpha_equiv :args ((forall (@list @t431 @t430) (not (forall (@list @t434) (not (forall (@list @t432) (= (tptp.in @t432 @t434) (and (not (forall (@list @t433) (or (not (= @t432 (tptp.ordered_pair @t433 (tptp.singleton @t433)))) (not (tptp.in @t433 @t431))))) (tptp.in @t432 (tptp.cartesian_product2 @t431 @t430))))))))) @t435 (@list @t17 @t33 @t45 @t1 @t2))) % 0.43/0.81 (step @p594 :rule alpha_equiv :args (@t436 (@list @t17 @t33 @t203 @t1 @t2) @t435)) % 0.43/0.81 (step @p595 :rule trans :premises (@p594 @p593 @p592)) % 0.43/0.81 (step @p596 :rule equiv_elim1 :premises (@p595)) % 0.43/0.81 (step @p597 :rule reordering :premises (@p596) :args ((or @t428 (not @t436)))) % 0.43/0.81 (step @p598 :rule chain_m_resolution :premises (@p597 @p578) :args (@t428 @t437 (@list @t436))) % 0.43/0.81 (step @p599 :rule exists-elim :args ((= (exists @t62 @t424) @t427))) % 0.43/0.81 (step @p600 :rule aci_norm :args ((= (or @t418 @t417 false) @t419))) % 0.43/0.81 (step @p601 :rule eq-refl :args (@t250)) % 0.43/0.81 (step @p602 :rule cong :premises (@p601) :args (@t438)) % 0.43/0.81 (step @p603 :rule trans :premises (@p602 @p349)) % 0.43/0.81 (step @p604 :rule refl :args (@t417)) % 0.43/0.81 (step @p605 :rule refl :args (@t418)) % 0.43/0.81 (step @p606 :rule nary_cong :premises (@p605 @p604 @p603) :args (@t439)) % 0.43/0.81 (step @p607 :rule trans :premises (@p606 @p600)) % 0.43/0.81 (step @p608 :rule cong :premises (@p607) :args ((forall @t55 @t439))) % 0.43/0.81 (step @p609 :rule quant-var-elim-eq :args ((= (forall @t146 @t442) @t439))) % 0.43/0.81 (step @p610 :rule aci_norm :args ((= @t443 @t442))) % 0.43/0.81 (step @p611 :rule cong :premises (@p610) :args (@t444)) % 0.43/0.81 (step @p612 :rule trans :premises (@p611 @p609)) % 0.43/0.81 (step @p613 :rule cong :premises (@p612) :args (@t445)) % 0.43/0.81 (step @p614 :rule quant-merge-prenex :args ((= @t445 (forall @t104 @t443)))) % 0.43/0.81 (step @p615 :rule symm :premises (@p614)) % 0.43/0.81 (step @p616 :rule trans :premises (@p615 @p613)) % 0.43/0.81 (step @p617 :rule trans :premises (@p616 @p608)) % 0.43/0.81 (step @p618 :rule aci_norm :args ((= (or @t441 (or @t417 @t440)) @t443))) % 0.43/0.81 (step @p619 :rule bool-and-de-morgan :args (@t60 @t251 true)) % 0.43/0.81 (step @p620 :rule refl :args (@t441)) % 0.43/0.81 (step @p621 :rule nary_cong :premises (@p620 @p619) :args ((or @t441 (not (and @t60 @t251))))) % 0.43/0.81 (step @p622 :rule bool-and-de-morgan :args (@t103 @t60 (and @t251))) % 0.43/0.81 (step @p623 :rule trans :premises (@p622 @p621)) % 0.43/0.81 (step @p624 :rule trans :premises (@p623 @p618)) % 0.43/0.81 (step @p625 :rule cong :premises (@p624) :args (@t447)) % 0.43/0.81 (step @p626 :rule trans :premises (@p625 @p617)) % 0.43/0.81 (step @p627 :rule cong :premises (@p626) :args (@t448)) % 0.43/0.81 (step @p628 :rule exists-elim :args ((= (exists @t104 @t446) @t448))) % 0.43/0.81 (step @p629 :rule trans :premises (@p628 @p627)) % 0.43/0.81 (step @p630 :rule refl :args (@t251)) % 0.43/0.81 (step @p631 :rule refl :args (@t60)) % 0.43/0.81 (step @p632 :rule eq-symm :args (@t102 @t33)) % 0.43/0.81 (step @p633 :rule nary_cong :premises (@p632 @p631 @p630) :args (@t252)) % 0.43/0.81 (step @p634 :rule cong :premises (@p633) :args (@t253)) % 0.43/0.81 (step @p635 :rule trans :premises (@p634 @p629)) % 0.43/0.81 (step @p636 :rule refl :args (@t254)) % 0.43/0.81 (step @p637 :rule nary_cong :premises (@p636 @p635) :args (@t255)) % 0.43/0.81 (step @p638 :rule cong :premises (@p429 @p637) :args (@t256)) % 0.43/0.81 (step @p639 :rule cong :premises (@p638) :args (@t257)) % 0.43/0.81 (step @p640 :rule cong :premises (@p639) :args (@t258)) % 0.43/0.81 (step @p641 :rule trans :premises (@p640 @p599)) % 0.43/0.81 (step @p642 :rule cong :premises (@p641) :args (@t259)) % 0.43/0.81 (step @p643 :rule cong :premises (@p642) :args (@t260)) % 0.43/0.81 (step @p644 :rule eq_resolve :premises (@p185 @p643)) % 0.43/0.81 (step @p645 false :rule chain_m_resolution :premises (@p644 @p598) :args (false @t437 (@list @t428))) % 0.43/0.81 ) % 0.43/0.81 % SZS output end Proof % 0.43/0.81 % cvc5 exiting %------------------------------------------------------------------------------