%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU277+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 : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:13 AM UTC 2026 % Result : Theorem 0.42s 0.78s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU277+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:50:09 EDT 2026 % 0.17/0.35 % CPUTime : % 0.40/0.58 %----Proving TF0_NAR, FOF, or CNF % 0.42/0.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.42/0.78 % SZS status Theorem % 0.42/0.78 % SZS output start Proof % 0.42/0.78 ( % 0.42/0.78 (declare-sort $$unsorted 0) % 0.42/0.78 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.empty_set $$unsorted) % 0.42/0.78 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.function (-> $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.42/0.78 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.78 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.42/0.78 (define @t1 () (@var "A" $$unsorted)) % 0.42/0.78 (define @t2 () (@var "B" $$unsorted)) % 0.42/0.78 (define @t3 () (tptp.in @t2 @t1)) % 0.42/0.78 (define @t4 () (not @t3)) % 0.42/0.78 (define @t5 () (tptp.in @t1 @t2)) % 0.42/0.78 (define @t6 () (@list @t1 @t2)) % 0.42/0.78 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.42/0.78 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.42/0.78 (define @t9 () (tptp.function @t1)) % 0.42/0.78 (define @t10 () (tptp.empty @t1)) % 0.42/0.78 (define @t11 () (@list @t1)) % 0.42/0.78 (define @t12 () (tptp.epsilon_connected @t1)) % 0.42/0.78 (define @t13 () (tptp.epsilon_transitive @t1)) % 0.42/0.78 (define @t14 () (and @t13 @t12)) % 0.42/0.78 (define @t15 () (tptp.ordinal @t1)) % 0.42/0.78 (define @t16 () (tptp.relation @t1)) % 0.42/0.78 (define @t17 () (@var "C" $$unsorted)) % 0.42/0.78 (define @t18 () (tptp.relation @t17)) % 0.42/0.78 (define @t19 () (tptp.cartesian_product2 @t1 @t2)) % 0.42/0.78 (define @t20 () (tptp.element @t17 (tptp.powerset @t19))) % 0.42/0.78 (define @t21 () (@list @t1 @t2 @t17)) % 0.42/0.78 (define @t22 () (tptp.one_to_one @t1)) % 0.42/0.78 (define @t23 () (and @t16 @t9 @t22)) % 0.42/0.78 (define @t24 () (and @t16 @t10 @t9)) % 0.42/0.78 (define @t25 () (and @t13 @t12 @t15)) % 0.42/0.78 (define @t26 () (tptp.unordered_pair @t1 @t2)) % 0.42/0.78 (define @t27 () (tptp.set_union2 @t2 @t1)) % 0.42/0.78 (define @t28 () (tptp.set_union2 @t1 @t2)) % 0.42/0.78 (define @t29 () (tptp.set_intersection2 @t1 @t2)) % 0.42/0.78 (define @t30 () (tptp.ordinal_subset @t1 @t2)) % 0.42/0.78 (define @t31 () (tptp.ordinal @t2)) % 0.42/0.78 (define @t32 () (and @t15 @t31)) % 0.42/0.78 (define @t33 () (@var "D" $$unsorted)) % 0.42/0.78 (define @t34 () (= @t17 @t33)) % 0.42/0.78 (define @t35 () (tptp.in @t17 @t1)) % 0.42/0.78 (define @t36 () (tptp.ordered_pair @t17 @t33)) % 0.42/0.78 (define @t37 () (tptp.in @t36 @t2)) % 0.42/0.78 (define @t38 () (@list @t17 @t33)) % 0.42/0.78 (define @t39 () (tptp.identity_relation @t1)) % 0.42/0.78 (define @t40 () (= @t2 @t39)) % 0.42/0.78 (define @t41 () (tptp.relation @t2)) % 0.42/0.78 (define @t42 () (tptp.subset @t2 @t1)) % 0.42/0.78 (define @t43 () (tptp.subset @t1 @t2)) % 0.42/0.78 (define @t44 () (= @t1 @t2)) % 0.42/0.78 (define @t45 () (@var "E" $$unsorted)) % 0.42/0.78 (define @t46 () (tptp.ordered_pair @t33 @t45)) % 0.42/0.78 (define @t47 () (tptp.in @t46 @t1)) % 0.42/0.78 (define @t48 () (tptp.in @t33 @t2)) % 0.42/0.78 (define @t49 () (tptp.in @t46 @t17)) % 0.42/0.78 (define @t50 () (@list @t33 @t45)) % 0.42/0.78 (define @t51 () (tptp.relation_dom_restriction @t1 @t2)) % 0.42/0.78 (define @t52 () (@list @t2 @t17)) % 0.42/0.78 (define @t53 () (tptp.in @t45 @t2)) % 0.42/0.78 (define @t54 () (tptp.relation_dom @t1)) % 0.42/0.78 (define @t55 () (@list @t45)) % 0.42/0.78 (define @t56 () (tptp.in @t33 @t17)) % 0.42/0.78 (define @t57 () (@list @t33)) % 0.42/0.78 (define @t58 () (= @t17 (tptp.relation_image @t1 @t2))) % 0.42/0.78 (define @t59 () (and @t16 @t9)) % 0.42/0.78 (define @t60 () (tptp.in @t45 @t1)) % 0.42/0.78 (define @t61 () (tptp.relation_rng_restriction @t1 @t2)) % 0.42/0.78 (define @t62 () (@list @t17)) % 0.42/0.78 (define @t63 () (tptp.relation_field @t1)) % 0.42/0.78 (define @t64 () (tptp.antisymmetric @t1)) % 0.42/0.78 (define @t65 () (tptp.apply @t1 @t33)) % 0.42/0.78 (define @t66 () (tptp.in @t33 @t54)) % 0.42/0.78 (define @t67 () (= @t17 (tptp.relation_inverse_image @t1 @t2))) % 0.42/0.78 (define @t68 () (tptp.ordered_pair @t45 @t33)) % 0.42/0.78 (define @t69 () (tptp.connected @t1)) % 0.42/0.78 (define @t70 () (tptp.transitive @t1)) % 0.42/0.78 (define @t71 () (tptp.in @t45 @t33)) % 0.42/0.78 (define @t72 () (@list @t1 @t2 @t17 @t33)) % 0.42/0.78 (define @t73 () (= @t2 @t17)) % 0.42/0.78 (define @t74 () (= @t1 @t36)) % 0.42/0.78 (define @t75 () (@list @t2)) % 0.42/0.78 (define @t76 () (tptp.ordered_pair @t2 @t17)) % 0.42/0.78 (define @t77 () (exists @t52 (= @t1 @t76))) % 0.42/0.78 (define @t78 () (tptp.singleton @t1)) % 0.42/0.78 (define @t79 () (tptp.succ @t1)) % 0.42/0.78 (define @t80 () (tptp.in @t17 @t2)) % 0.42/0.78 (define @t81 () (tptp.is_reflexive_in @t1 @t2)) % 0.42/0.78 (define @t82 () (tptp.relation_of2 @t17 @t1 @t2)) % 0.42/0.78 (define @t83 () (= @t2 tptp.empty_set)) % 0.42/0.78 (define @t84 () (= @t2 (tptp.set_meet @t1))) % 0.42/0.78 (define @t85 () (= @t1 tptp.empty_set)) % 0.42/0.78 (define @t86 () (tptp.in @t17 @t33)) % 0.42/0.78 (define @t87 () (tptp.in @t33 @t1)) % 0.42/0.78 (define @t88 () (not @t85)) % 0.42/0.78 (define @t89 () (= @t33 @t2)) % 0.42/0.78 (define @t90 () (tptp.subset @t17 @t33)) % 0.42/0.78 (define @t91 () (tptp.relation_field @t2)) % 0.42/0.78 (define @t92 () (tptp.inclusion_relation @t1)) % 0.42/0.78 (define @t93 () (tptp.powerset @t1)) % 0.42/0.78 (define @t94 () (= @t2 @t33)) % 0.42/0.78 (define @t95 () (tptp.in @t36 @t1)) % 0.42/0.78 (define @t96 () (tptp.empty @t2)) % 0.42/0.78 (define @t97 () (tptp.element @t2 @t1)) % 0.42/0.78 (define @t98 () (not @t10)) % 0.42/0.78 (define @t99 () (not @t83)) % 0.42/0.78 (define @t100 () (tptp.well_founded_relation @t1)) % 0.42/0.78 (define @t101 () (@var "F" $$unsorted)) % 0.42/0.78 (define @t102 () (not @t80)) % 0.42/0.78 (define @t103 () (not @t73)) % 0.42/0.78 (define @t104 () (tptp.in @t2 @t17)) % 0.42/0.78 (define @t105 () (forall @t62 (=> @t35 @t80))) % 0.42/0.78 (define @t106 () (= @t17 tptp.empty_set)) % 0.42/0.78 (define @t107 () (tptp.subset @t17 @t2)) % 0.42/0.78 (define @t108 () (tptp.is_well_founded_in @t1 @t2)) % 0.42/0.78 (define @t109 () (tptp.apply @t1 @t2)) % 0.42/0.78 (define @t110 () (= @t17 @t109)) % 0.42/0.78 (define @t111 () (tptp.in @t2 @t54)) % 0.42/0.78 (define @t112 () (tptp.in @t76 @t1)) % 0.42/0.78 (define @t113 () (tptp.in (tptp.ordered_pair @t33 @t17) @t1)) % 0.42/0.78 (define @t114 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.42/0.78 (define @t115 () (tptp.cast_to_subset @t1)) % 0.42/0.78 (define @t116 () (tptp.union @t1)) % 0.42/0.78 (define @t117 () (tptp.reflexive @t1)) % 0.42/0.78 (define @t118 () (tptp.well_ordering @t1)) % 0.42/0.78 (define @t119 () (tptp.set_difference @t1 @t2)) % 0.42/0.78 (define @t120 () (and @t66 (= @t17 @t65))) % 0.42/0.78 (define @t121 () (tptp.relation_rng @t1)) % 0.42/0.78 (define @t122 () (= @t2 @t121)) % 0.42/0.78 (define @t123 () (tptp.subset_complement @t1 @t2)) % 0.42/0.78 (define @t124 () (tptp.element @t2 @t93)) % 0.42/0.78 (define @t125 () (tptp.ordered_pair @t1 @t2)) % 0.42/0.78 (define @t126 () (tptp.is_connected_in @t1 @t2)) % 0.42/0.78 (define @t127 () (tptp.is_transitive_in @t1 @t2)) % 0.42/0.78 (define @t128 () (tptp.being_limit_ordinal @t1)) % 0.42/0.78 (define @t129 () (tptp.cartesian_product2 @t2 @t2)) % 0.42/0.78 (define @t130 () (tptp.relation_restriction @t1 @t2)) % 0.42/0.78 (define @t131 () (tptp.relation_inverse @t1)) % 0.42/0.78 (define @t132 () (tptp.apply @t17 @t33)) % 0.42/0.78 (define @t133 () (tptp.relation_rng @t17)) % 0.42/0.78 (define @t134 () (tptp.relation_dom @t17)) % 0.42/0.78 (define @t135 () (tptp.relation_isomorphism @t1 @t2 @t17)) % 0.42/0.78 (define @t136 () (tptp.function @t17)) % 0.42/0.78 (define @t137 () (and @t18 @t136)) % 0.42/0.78 (define @t138 () (tptp.disjoint @t1 @t2)) % 0.42/0.78 (define @t139 () (@list @t101)) % 0.42/0.78 (define @t140 () (tptp.relation_composition @t1 @t2)) % 0.42/0.78 (define @t141 () (@list @t17 @t33 @t45)) % 0.42/0.78 (define @t142 () (tptp.complements_of_subsets @t1 @t2)) % 0.42/0.78 (define @t143 () (tptp.powerset @t93)) % 0.42/0.78 (define @t144 () (tptp.element @t2 @t143)) % 0.42/0.78 (define @t145 () (not @t44)) % 0.42/0.78 (define @t146 () (tptp.function_inverse @t1)) % 0.42/0.78 (define @t147 () (tptp.relation @t131)) % 0.42/0.78 (define @t148 () (tptp.relation_dom_as_subset @t1 @t2 @t17)) % 0.42/0.78 (define @t149 () (tptp.relation @t140)) % 0.42/0.78 (define @t150 () (and @t16 @t41)) % 0.42/0.78 (define @t151 () (tptp.powerset @t2)) % 0.42/0.78 (define @t152 () (tptp.relation_rng_as_subset @t1 @t2 @t17)) % 0.42/0.78 (define @t153 () (tptp.union_of_subsets @t1 @t2)) % 0.42/0.78 (define @t154 () (tptp.relation @t39)) % 0.42/0.78 (define @t155 () (tptp.meet_of_subsets @t1 @t2)) % 0.42/0.78 (define @t156 () (tptp.subset_difference @t1 @t2 @t17)) % 0.42/0.78 (define @t157 () (tptp.element @t17 @t93)) % 0.42/0.78 (define @t158 () (and @t124 @t157)) % 0.42/0.78 (define @t159 () (tptp.relation @t51)) % 0.42/0.78 (define @t160 () (tptp.relation @t61)) % 0.42/0.78 (define @t161 () (tptp.relation_of2_as_subset @t17 @t1 @t2)) % 0.42/0.78 (define @t162 () (tptp.relation_composition @t2 @t1)) % 0.42/0.78 (define @t163 () (and @t10 @t41)) % 0.42/0.78 (define @t164 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.42/0.78 (define @t165 () (tptp.relation tptp.empty_set)) % 0.42/0.78 (define @t166 () (tptp.empty tptp.empty_set)) % 0.42/0.78 (define @t167 () (tptp.relation_empty_yielding @t1)) % 0.42/0.78 (define @t168 () (and @t16 @t167)) % 0.42/0.78 (define @t169 () (tptp.function @t2)) % 0.42/0.78 (define @t170 () (not (tptp.empty @t79))) % 0.42/0.78 (define @t171 () (not @t96)) % 0.42/0.78 (define @t172 () (and @t41 @t169)) % 0.42/0.78 (define @t173 () (tptp.empty @t54)) % 0.42/0.78 (define @t174 () (and @t98 @t16)) % 0.42/0.78 (define @t175 () (tptp.empty @t121)) % 0.42/0.78 (define @t176 () (tptp.in @t2 @t63)) % 0.42/0.78 (define @t177 () (tptp.disjoint @t78 @t2)) % 0.42/0.78 (define @t178 () (not @t5)) % 0.42/0.78 (define @t179 () (tptp.relation_dom @t2)) % 0.42/0.78 (define @t180 () (tptp.in (tptp.ordered_pair @t17 @t2) @t1)) % 0.42/0.78 (define @t181 () (not @t112)) % 0.42/0.78 (define @t182 () (tptp.singleton @t2)) % 0.42/0.78 (define @t183 () (tptp.union @t2)) % 0.42/0.78 (define @t184 () (tptp.in @t1 @t17)) % 0.42/0.78 (define @t185 () (tptp.element @t1 @t151)) % 0.42/0.78 (define @t186 () (tptp.relation_dom_restriction @t17 @t1)) % 0.42/0.78 (define @t187 () (tptp.in @t2 (tptp.relation_dom @t186))) % 0.42/0.78 (define @t188 () (tptp.set_difference @t2 @t17)) % 0.42/0.78 (define @t189 () (tptp.ordinal @t17)) % 0.42/0.78 (define @t190 () (@var "L" $$unsorted)) % 0.42/0.78 (define @t191 () (@var "K" $$unsorted)) % 0.42/0.78 (define @t192 () (tptp.in (tptp.ordered_pair (tptp.apply @t17 @t191) (tptp.apply @t17 @t190)) @t2)) % 0.42/0.78 (define @t193 () (= @t45 (tptp.ordered_pair @t191 @t190))) % 0.42/0.78 (define @t194 () (and @t193 @t192)) % 0.42/0.78 (define @t195 () (@list @t191 @t190)) % 0.42/0.78 (define @t196 () (exists @t195 @t194)) % 0.42/0.78 (define @t197 () (= @t101 @t45)) % 0.42/0.78 (define @t198 () (tptp.cartesian_product2 @t1 @t1)) % 0.42/0.78 (define @t199 () (tptp.in @t101 @t198)) % 0.42/0.78 (define @t200 () (and @t199 @t197 @t196)) % 0.42/0.78 (define @t201 () (exists @t139 @t200)) % 0.42/0.78 (define @t202 () (= @t71 @t201)) % 0.42/0.78 (define @t203 () (forall @t55 @t202)) % 0.42/0.78 (define @t204 () (exists @t57 @t203)) % 0.42/0.78 (define @t205 () (= @t45 @t101)) % 0.42/0.78 (define @t206 () (@var "J" $$unsorted)) % 0.42/0.78 (define @t207 () (@var "I" $$unsorted)) % 0.42/0.78 (define @t208 () (tptp.in (tptp.ordered_pair (tptp.apply @t17 @t207) (tptp.apply @t17 @t206)) @t2)) % 0.42/0.78 (define @t209 () (= @t101 (tptp.ordered_pair @t207 @t206))) % 0.42/0.78 (define @t210 () (and @t209 @t208)) % 0.42/0.78 (define @t211 () (@list @t207 @t206)) % 0.42/0.78 (define @t212 () (exists @t211 @t210)) % 0.42/0.78 (define @t213 () (= @t33 @t101)) % 0.42/0.78 (define @t214 () (@var "H" $$unsorted)) % 0.42/0.78 (define @t215 () (@var "G" $$unsorted)) % 0.42/0.78 (define @t216 () (tptp.apply @t17 @t215)) % 0.42/0.78 (define @t217 () (tptp.in (tptp.ordered_pair @t216 (tptp.apply @t17 @t214)) @t2)) % 0.42/0.78 (define @t218 () (= @t45 (tptp.ordered_pair @t215 @t214))) % 0.42/0.78 (define @t219 () (and @t218 @t217)) % 0.42/0.78 (define @t220 () (@list @t215 @t214)) % 0.42/0.78 (define @t221 () (exists @t220 @t219)) % 0.42/0.78 (define @t222 () (= @t33 @t45)) % 0.42/0.78 (define @t223 () (and @t222 @t221 @t213 @t212)) % 0.42/0.78 (define @t224 () (=> @t223 @t205)) % 0.42/0.78 (define @t225 () (@list @t33 @t45 @t101)) % 0.42/0.78 (define @t226 () (forall @t225 @t224)) % 0.42/0.78 (define @t227 () (=> @t226 @t204)) % 0.42/0.78 (define @t228 () (and @t41 @t18 @t136)) % 0.42/0.78 (define @t229 () (=> @t228 @t227)) % 0.42/0.78 (define @t230 () (forall @t21 @t229)) % 0.42/0.78 (define @t231 () (tptp.succ @t2)) % 0.42/0.78 (define @t232 () (tptp.in (tptp.ordered_pair (tptp.apply @t17 @t101) @t216) @t2)) % 0.42/0.78 (define @t233 () (= @t45 (tptp.ordered_pair @t101 @t215))) % 0.42/0.78 (define @t234 () (and @t233 @t232)) % 0.42/0.78 (define @t235 () (@list @t101 @t215)) % 0.42/0.78 (define @t236 () (exists @t235 @t234)) % 0.42/0.78 (define @t237 () (tptp.in @t45 @t198)) % 0.42/0.78 (define @t238 () (and @t237 @t236)) % 0.42/0.78 (define @t239 () (= @t71 @t238)) % 0.42/0.78 (define @t240 () (forall @t55 @t239)) % 0.42/0.78 (define @t241 () (exists @t57 @t240)) % 0.42/0.78 (define @t242 () (=> @t228 @t241)) % 0.42/0.78 (define @t243 () (forall @t21 @t242)) % 0.42/0.78 (define @t244 () (not @t243)) % 0.42/0.78 (define @t245 () (= @t1 @t17)) % 0.42/0.78 (define @t246 () (tptp.relation_rng @t61)) % 0.42/0.78 (define @t247 () (tptp.relation_rng @t2)) % 0.42/0.78 (define @t248 () (tptp.cartesian_product2 @t1 @t17)) % 0.42/0.78 (define @t249 () (forall @t62 (not (and @t107 (not (tptp.are_equipotent @t17 @t2)) @t102)))) % 0.42/0.78 (define @t250 () (tptp.powerset @t17)) % 0.42/0.78 (define @t251 () (forall @t38 (=> (and @t80 (tptp.subset @t33 @t17)) @t48))) % 0.42/0.78 (define @t252 () (tptp.relation_dom_restriction @t17 @t2)) % 0.42/0.78 (define @t253 () (tptp.relation_image @t2 @t1)) % 0.42/0.78 (define @t254 () (tptp.relation_inverse_image @t2 @t1)) % 0.42/0.78 (define @t255 () (tptp.relation_image @t2 @t254)) % 0.42/0.78 (define @t256 () (tptp.set_intersection2 @t179 @t1)) % 0.42/0.78 (define @t257 () (tptp.subset @t1 @t247)) % 0.42/0.78 (define @t258 () (tptp.relation_of2_as_subset @t33 @t17 @t2)) % 0.42/0.78 (define @t259 () (tptp.relation_of2_as_subset @t33 @t17 @t1)) % 0.42/0.78 (define @t260 () (tptp.relation_rng @t140)) % 0.42/0.78 (define @t261 () (tptp.relation_inverse_image @t17 @t2)) % 0.42/0.78 (define @t262 () (tptp.relation_restriction @t17 @t2)) % 0.42/0.78 (define @t263 () (tptp.relation_restriction @t2 @t1)) % 0.42/0.78 (define @t264 () (tptp.relation_dom_restriction @t2 @t1)) % 0.42/0.78 (define @t265 () (tptp.relation_field @t17)) % 0.42/0.78 (define @t266 () (tptp.in @t1 @t265)) % 0.42/0.78 (define @t267 () (tptp.set_intersection2 @t2 @t17)) % 0.42/0.78 (define @t268 () (tptp.subset @t1 @t17)) % 0.42/0.78 (define @t269 () (tptp.element @t1 @t2)) % 0.42/0.78 (define @t270 () (tptp.in @t1 @t134)) % 0.42/0.78 (define @t271 () (tptp.in @t125 @t17)) % 0.42/0.78 (define @t272 () (tptp.relation_field @t263)) % 0.42/0.78 (define @t273 () (tptp.apply @t17 @t1)) % 0.42/0.78 (define @t274 () (tptp.relation_composition @t17 @t2)) % 0.42/0.78 (define @t275 () (tptp.in @t1 (tptp.relation_dom @t274))) % 0.42/0.78 (define @t276 () (tptp.reflexive @t2)) % 0.42/0.78 (define @t277 () (tptp.connected @t2)) % 0.42/0.78 (define @t278 () (tptp.transitive @t2)) % 0.42/0.78 (define @t279 () (tptp.antisymmetric @t2)) % 0.42/0.78 (define @t280 () (tptp.well_ordering @t263)) % 0.42/0.78 (define @t281 () (= @t272 @t1)) % 0.42/0.78 (define @t282 () (tptp.well_founded_relation @t2)) % 0.42/0.78 (define @t283 () (tptp.well_ordering @t2)) % 0.42/0.78 (define @t284 () (tptp.apply @t2 @t17)) % 0.42/0.78 (define @t285 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.42/0.78 (define @t286 () (and @t35 @t80)) % 0.42/0.78 (define @t287 () (not @t138)) % 0.42/0.78 (define @t288 () (= @t1 @t231)) % 0.42/0.78 (define @t289 () (tptp.subset_complement @t1 @t17)) % 0.42/0.78 (define @t290 () (tptp.disjoint @t2 @t17)) % 0.42/0.78 (define @t291 () (tptp.relation_dom @t140)) % 0.42/0.78 (define @t292 () (tptp.element @t2 @t250)) % 0.42/0.78 (define @t293 () (tptp.in @t17 @t29)) % 0.42/0.78 (define @t294 () (and (tptp.in @t17 @t121) (= @t33 @t284))) % 0.42/0.78 (define @t295 () (tptp.function_inverse @t2)) % 0.42/0.78 (define @t296 () (= @t121 tptp.empty_set)) % 0.42/0.78 (define @t297 () (= @t54 tptp.empty_set)) % 0.42/0.78 (define @t298 () (= (tptp.apply @t186 @t2) (tptp.apply @t17 @t2))) % 0.42/0.78 (define @t299 () (= @t78 (tptp.unordered_pair @t2 @t17))) % 0.42/0.78 (define @t300 () (forall @t195 (or (not @t193) (not @t192)))) % 0.42/0.78 (define @t301 () (not @t300)) % 0.42/0.78 (define @t302 () (forall @t55 (= @t71 (and @t301 @t237)))) % 0.42/0.78 (define @t303 () (not (forall @t57 (not @t302)))) % 0.42/0.78 (define @t304 () (not @t136)) % 0.42/0.78 (define @t305 () (not @t18)) % 0.42/0.78 (define @t306 () (not @t41)) % 0.42/0.78 (define @t307 () (or @t306 @t305 @t304 @t303)) % 0.42/0.78 (define @t308 () (or @t306 @t305 @t304)) % 0.42/0.78 (define @t309 () (not @t228)) % 0.42/0.78 (define @t310 () (not @t237)) % 0.42/0.78 (define @t311 () (= @t71 (not (or @t300 @t310)))) % 0.42/0.78 (define @t312 () (not (= @t45 @t45))) % 0.42/0.78 (define @t313 () (or @t310 @t312)) % 0.42/0.78 (define @t314 () (not @t205)) % 0.42/0.78 (define @t315 () (not @t199)) % 0.42/0.78 (define @t316 () (or @t314 @t315 @t314)) % 0.42/0.78 (define @t317 () (or @t315 @t314)) % 0.42/0.78 (define @t318 () (forall @t139 @t317)) % 0.42/0.78 (define @t319 () (or @t300 @t318)) % 0.42/0.78 (define @t320 () (or @t300 @t317)) % 0.42/0.78 (define @t321 () (or @t315 @t314 @t300)) % 0.42/0.78 (define @t322 () (not @t301)) % 0.42/0.78 (define @t323 () (or @t315 @t314 @t322)) % 0.42/0.78 (define @t324 () (and @t199 @t205 @t301)) % 0.42/0.78 (define @t325 () (forall @t139 (not @t324))) % 0.42/0.78 (define @t326 () (not @t325)) % 0.42/0.78 (define @t327 () (forall @t195 (not @t194))) % 0.42/0.78 (define @t328 () (not @t327)) % 0.42/0.78 (define @t329 () (@var "BOUND_VARIABLE_11091" $$unsorted)) % 0.42/0.78 (define @t330 () (@var "BOUND_VARIABLE_11089" $$unsorted)) % 0.42/0.78 (define @t331 () (@var "BOUND_VARIABLE_11078" $$unsorted)) % 0.42/0.78 (define @t332 () (@var "BOUND_VARIABLE_11076" $$unsorted)) % 0.42/0.78 (define @t333 () (@list @t45 @t101 @t332 @t331 @t330 @t329)) % 0.42/0.78 (define @t334 () (not (tptp.in (tptp.ordered_pair (tptp.apply @t17 @t330) (tptp.apply @t17 @t329)) @t2))) % 0.42/0.78 (define @t335 () (not (= @t101 (tptp.ordered_pair @t330 @t329)))) % 0.42/0.78 (define @t336 () (not (tptp.in (tptp.ordered_pair (tptp.apply @t17 @t332) (tptp.apply @t17 @t331)) @t2))) % 0.42/0.78 (define @t337 () (not (= @t45 (tptp.ordered_pair @t332 @t331)))) % 0.42/0.78 (define @t338 () (or @t314 @t205 @t337 @t336 @t335 @t334)) % 0.42/0.78 (define @t339 () (or @t312 @t314 @t205 @t337 @t336 @t335 @t334)) % 0.42/0.78 (define @t340 () (not @t213)) % 0.42/0.78 (define @t341 () (not @t222)) % 0.42/0.78 (define @t342 () (or @t341 @t341 @t340 @t205 @t337 @t336 @t335 @t334)) % 0.42/0.78 (define @t343 () (or @t341 @t340 @t205 @t337 @t336 @t335 @t334)) % 0.42/0.78 (define @t344 () (forall @t57 @t343)) % 0.42/0.78 (define @t345 () (forall @t333 @t344)) % 0.42/0.78 (define @t346 () (forall (@list @t45 @t101 @t332 @t331 @t330 @t329 @t33) @t343)) % 0.42/0.78 (define @t347 () (@list @t33 @t45 @t101 @t332 @t331 @t330 @t329)) % 0.42/0.78 (define @t348 () (or @t335 @t334)) % 0.42/0.78 (define @t349 () (or @t337 @t336)) % 0.42/0.78 (define @t350 () (or @t341 @t349 @t340 @t348 @t205)) % 0.42/0.78 (define @t351 () (forall @t347 @t350)) % 0.42/0.78 (define @t352 () (forall (@list @t332 @t331 @t330 @t329) @t350)) % 0.42/0.78 (define @t353 () (forall (@list @t330 @t329) @t348)) % 0.42/0.78 (define @t354 () (forall (@list @t332 @t331) @t349)) % 0.42/0.78 (define @t355 () (or @t341 @t354 @t340 @t353 @t205)) % 0.42/0.78 (define @t356 () (forall @t211 (or (not @t209) (not @t208)))) % 0.42/0.78 (define @t357 () (forall @t220 (or (not @t218) (not @t217)))) % 0.42/0.78 (define @t358 () (or @t341 @t357 @t340 @t356 @t205)) % 0.42/0.78 (define @t359 () (not @t356)) % 0.42/0.78 (define @t360 () (not @t359)) % 0.42/0.78 (define @t361 () (not @t357)) % 0.42/0.78 (define @t362 () (not @t361)) % 0.42/0.78 (define @t363 () (or @t341 @t362 @t340 @t360)) % 0.42/0.78 (define @t364 () (and @t222 @t361 @t213 @t359)) % 0.42/0.78 (define @t365 () (forall @t211 (not @t210))) % 0.42/0.78 (define @t366 () (not @t365)) % 0.42/0.78 (define @t367 () (forall @t220 (not @t219))) % 0.42/0.78 (define @t368 () (not @t367)) % 0.42/0.78 (define @t369 () (not (forall @t235 (or (not @t233) (not @t232))))) % 0.42/0.78 (define @t370 () (and @t369 @t237)) % 0.42/0.78 (define @t371 () (and @t237 @t369)) % 0.42/0.78 (define @t372 () (= @t71 @t371)) % 0.42/0.78 (define @t373 () (forall @t55 @t372)) % 0.42/0.78 (define @t374 () (not @t373)) % 0.42/0.78 (define @t375 () (forall @t57 @t374)) % 0.42/0.78 (define @t376 () (not @t375)) % 0.42/0.78 (define @t377 () (or @t306 @t305 @t304 @t376)) % 0.42/0.78 (define @t378 () (forall @t21 @t377)) % 0.42/0.78 (define @t379 () (forall @t21 (or @t306 @t305 @t304 (not (forall @t57 (not (forall @t55 (= @t71 @t370)))))))) % 0.42/0.78 (define @t380 () (@var "BOUND_VARIABLE_14422" $$unsorted)) % 0.42/0.78 (define @t381 () (@var "BOUND_VARIABLE_14419" $$unsorted)) % 0.42/0.78 (define @t382 () (@var "BOUND_VARIABLE_14417" $$unsorted)) % 0.42/0.78 (define @t383 () (@var "BOUND_VARIABLE_14421" $$unsorted)) % 0.42/0.78 (define @t384 () (@var "BOUND_VARIABLE_14416" $$unsorted)) % 0.42/0.78 (define @t385 () (@var "BOUND_VARIABLE_14420" $$unsorted)) % 0.42/0.78 (define @t386 () (@var "BOUND_VARIABLE_14418" $$unsorted)) % 0.42/0.78 (define @t387 () (@list @t384 @t382 @t386 @t381 @t385 @t383 @t380)) % 0.42/0.78 (define @t388 () (forall @t21 @t307)) % 0.42/0.78 (define @t389 () (@list false)) % 0.42/0.78 (define @t390 () (forall @t235 (not @t234))) % 0.42/0.78 (define @t391 () (not @t390)) % 0.42/0.78 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.42/0.78 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.42/0.78 (assume @p3 (forall @t11 (=> @t10 @t9))) % 0.42/0.78 (assume @p4 (forall @t11 (=> @t15 @t14))) % 0.42/0.78 (assume @p5 (forall @t11 (=> @t10 @t16))) % 0.42/0.78 (assume @p6 (forall @t21 (=> @t20 @t18))) % 0.42/0.78 (assume @p7 (forall @t11 (=> @t24 @t23))) % 0.42/0.78 (assume @p8 (forall @t11 (=> @t14 @t15))) % 0.42/0.78 (assume @p9 (forall @t11 (=> @t10 @t25))) % 0.42/0.78 (assume @p10 (forall @t6 (= @t26 (tptp.unordered_pair @t2 @t1)))) % 0.42/0.78 (assume @p11 (forall @t6 (= @t28 @t27))) % 0.42/0.78 (assume @p12 (forall @t6 (= @t29 (tptp.set_intersection2 @t2 @t1)))) % 0.42/0.78 (assume @p13 (forall @t6 (=> @t32 (or @t30 (tptp.ordinal_subset @t2 @t1))))) % 0.42/0.78 (assume @p14 (forall @t6 (=> @t41 (= @t40 (forall @t38 (= @t37 (and @t35 @t34))))))) % 0.42/0.78 (assume @p15 (forall @t6 (= @t44 (and @t43 @t42)))) % 0.42/0.78 (assume @p16 (forall @t11 (=> @t16 (forall @t52 (=> @t18 (= (= @t17 @t51) (forall @t50 (= @t49 (and @t48 @t47))))))))) % 0.42/0.78 (assume @p17 (forall @t11 (=> @t59 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t54) @t53 (= @t33 (tptp.apply @t1 @t45))))))))))) % 0.42/0.78 (assume @p18 (forall @t6 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t61) (forall @t50 (= @t49 (and @t60 (tptp.in @t46 @t2)))))))))) % 0.42/0.78 (assume @p19 (forall @t11 (=> @t16 (= @t64 (tptp.is_antisymmetric_in @t1 @t63))))) % 0.42/0.78 (assume @p20 (forall @t11 (=> @t59 (forall @t52 (= @t67 (forall @t57 (= @t56 (and @t66 (tptp.in @t65 @t2))))))))) % 0.42/0.78 (assume @p21 (forall @t11 (=> @t16 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t68 @t1) @t53))))))))) % 0.42/0.78 (assume @p22 (forall @t11 (=> @t16 (forall @t52 (= @t67 (forall @t57 (= @t56 (exists @t55 (and @t47 @t53))))))))) % 0.42/0.78 (assume @p23 (forall @t11 (=> @t16 (= @t69 (tptp.is_connected_in @t1 @t63))))) % 0.42/0.78 (assume @p24 (forall @t11 (=> @t16 (= @t70 (tptp.is_transitive_in @t1 @t63))))) % 0.42/0.78 (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))))))))) % 0.42/0.78 (assume @p26 (forall @t11 (=> @t77 (forall @t75 (= (= @t2 (tptp.pair_first @t1)) (forall @t38 (=> @t74 @t73))))))) % 0.42/0.78 (assume @p27 (forall @t11 (= @t79 (tptp.set_union2 @t1 @t78)))) % 0.42/0.78 (assume @p28 (forall @t11 (= @t16 (forall @t75 (not (and @t3 (forall @t38 (not (= @t2 @t36))))))))) % 0.42/0.78 (assume @p29 (forall @t11 (=> @t16 (forall @t75 (= @t81 (forall @t62 (=> @t80 (tptp.in (tptp.ordered_pair @t17 @t17) @t1)))))))) % 0.42/0.78 (assume @p30 (forall @t21 (= @t82 (tptp.subset @t17 @t19)))) % 0.42/0.78 (assume @p31 (forall @t6 (and (=> @t88 (= @t84 (forall @t62 (= @t80 (forall @t57 (=> @t87 @t86)))))) (=> @t85 (= @t84 @t83))))) % 0.42/0.78 (assume @p32 (forall @t6 (= (= @t2 @t78) (forall @t62 (= @t80 (= @t17 @t1)))))) % 0.42/0.78 (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))))))))) % 0.42/0.78 (assume @p34 (forall @t6 (=> @t41 (= (= @t2 @t92) (and (= @t91 @t1) (forall @t38 (=> (and @t35 @t87) (= @t37 @t90)))))))) % 0.42/0.78 (assume @p35 (forall @t11 (= @t85 (forall @t75 @t4)))) % 0.42/0.78 (assume @p36 (forall @t6 (= (= @t2 @t93) (forall @t62 (= @t80 (tptp.subset @t17 @t1)))))) % 0.42/0.78 (assume @p37 (forall @t11 (=> @t77 (forall @t75 (= (= @t2 (tptp.pair_second @t1)) (forall @t38 (=> @t74 @t94))))))) % 0.42/0.78 (assume @p38 (forall @t11 (= @t13 (forall @t75 (=> @t3 @t42))))) % 0.42/0.78 (assume @p39 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t44 (forall @t38 (= @t95 @t37)))))))) % 0.42/0.78 (assume @p40 (forall @t6 (and (=> @t98 (= @t97 @t3)) (=> @t10 (= @t97 @t96))))) % 0.42/0.78 (assume @p41 (forall @t21 (= (= @t17 @t26) (forall @t57 (= @t56 (or (= @t33 @t1) @t89)))))) % 0.42/0.78 (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))))))))))) % 0.42/0.78 (assume @p43 (forall @t21 (= (= @t17 @t28) (forall @t57 (= @t56 (or @t87 @t48)))))) % 0.42/0.78 (assume @p44 (forall @t21 (= (= @t17 @t19) (forall @t57 (= @t56 (exists (@list @t45 @t101) (and @t60 (tptp.in @t101 @t2) (= @t33 (tptp.ordered_pair @t45 @t101))))))))) % 0.42/0.78 (assume @p45 (forall @t11 (= @t12 (forall @t52 (not (and @t3 @t35 (not @t104) @t103 @t102)))))) % 0.42/0.78 (assume @p46 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t43 (forall @t38 (=> @t95 @t37)))))))) % 0.42/0.78 (assume @p47 (forall @t6 (= @t43 @t105))) % 0.42/0.78 (assume @p48 (forall @t11 (=> @t16 (forall @t75 (= @t108 (forall @t62 (not (and @t107 (not @t106) (forall @t57 (not (and @t56 (tptp.disjoint (tptp.fiber @t1 @t33) @t17)))))))))))) % 0.42/0.78 (assume @p49 (forall @t21 (= (= @t17 @t29) (forall @t57 (= @t56 (and @t87 @t48)))))) % 0.42/0.78 (assume @p50 (forall @t11 (=> @t59 (forall @t52 (and (=> @t111 (= @t110 @t112)) (=> (not @t111) (= @t110 @t106))))))) % 0.42/0.78 (assume @p51 (forall @t11 (= @t15 @t14))) % 0.42/0.78 (assume @p52 (forall @t11 (=> @t16 (forall @t75 (= (= @t2 @t54) (forall @t62 (= @t80 (exists @t57 @t95)))))))) % 0.42/0.78 (assume @p53 (forall @t11 (=> @t16 (forall @t75 (= @t114 (forall @t38 (=> (and @t80 @t48 @t95 @t113) @t34))))))) % 0.42/0.78 (assume @p54 (forall @t11 (= @t115 @t1))) % 0.42/0.78 (assume @p55 (forall @t6 (= (= @t2 @t116) (forall @t62 (= @t80 (exists @t57 (and @t86 @t87))))))) % 0.42/0.78 (assume @p56 (forall @t11 (=> @t16 (= @t118 (and @t117 @t70 @t64 @t69 @t100))))) % 0.42/0.78 (assume @p57 (forall @t21 (= (= @t17 @t119) (forall @t57 (= @t56 (and @t87 (not @t48))))))) % 0.42/0.78 (assume @p58 (forall @t11 (=> @t59 (forall @t75 (= @t122 (forall @t62 (= @t80 (exists @t57 @t120)))))))) % 0.42/0.78 (assume @p59 (forall @t11 (=> @t16 (forall @t75 (= @t122 (forall @t62 (= @t80 (exists @t57 @t113)))))))) % 0.42/0.78 (assume @p60 (forall @t6 (=> @t124 (= @t123 @t119)))) % 0.42/0.78 (assume @p61 (forall @t6 (= @t125 (tptp.unordered_pair @t26 @t78)))) % 0.42/0.78 (assume @p62 (forall @t11 (=> @t16 (forall @t75 (= (tptp.well_orders @t1 @t2) (and @t81 @t127 @t114 @t126 @t108)))))) % 0.42/0.78 (assume @p63 (forall @t11 (= @t128 (= @t1 @t116)))) % 0.42/0.78 (assume @p64 (forall @t11 (=> @t16 (= @t63 (tptp.set_union2 @t54 @t121))))) % 0.42/0.78 (assume @p65 (forall @t11 (=> @t16 (forall @t75 (= @t126 (forall @t38 (not (and @t80 @t48 (not @t34) (not @t95) (not @t113))))))))) % 0.42/0.78 (assume @p66 (forall @t11 (=> @t16 (forall @t75 (= @t130 (tptp.set_intersection2 @t1 @t129)))))) % 0.42/0.78 (assume @p67 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= (= @t2 @t131) (forall @t38 (= @t37 @t113)))))))) % 0.42/0.78 (assume @p68 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t137 (= @t135 (and (= @t134 @t63) (= @t133 @t91) (tptp.one_to_one @t17) (forall @t50 (= @t47 (and (tptp.in @t33 @t63) (tptp.in @t45 @t63) (tptp.in (tptp.ordered_pair @t132 (tptp.apply @t17 @t45)) @t2))))))))))))) % 0.42/0.78 (assume @p69 (forall @t6 (= @t138 (= @t29 tptp.empty_set)))) % 0.42/0.78 (assume @p70 (forall @t11 (=> @t59 (= @t22 (forall @t52 (=> (and @t111 (tptp.in @t17 @t54) (= @t109 (tptp.apply @t1 @t17))) @t73)))))) % 0.42/0.78 (assume @p71 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t140) (forall @t50 (= @t49 (exists @t139 (and (tptp.in (tptp.ordered_pair @t33 @t101) @t1) (tptp.in (tptp.ordered_pair @t101 @t45) @t2))))))))))))) % 0.42/0.78 (assume @p72 (forall @t11 (=> @t16 (forall @t75 (= @t127 (forall @t141 (=> (and @t80 @t48 @t53 @t95 @t47) (tptp.in (tptp.ordered_pair @t17 @t45) @t1)))))))) % 0.42/0.78 (assume @p73 (forall @t6 (=> @t144 (forall @t62 (=> (tptp.element @t17 @t143) (= (= @t17 @t142) (forall @t57 (=> (tptp.element @t33 @t93) (= @t56 (tptp.in (tptp.subset_complement @t1 @t33) @t2)))))))))) % 0.42/0.78 (assume @p74 (forall @t6 (= @t8 (and @t43 @t145)))) % 0.42/0.78 (assume @p75 (forall @t11 (=> @t59 (=> @t22 (= @t146 @t131))))) % 0.42/0.78 (assume @p76 (forall @t11 (=> @t16 (= @t117 (tptp.is_reflexive_in @t1 @t63))))) % 0.42/0.78 (assume @p77 true) % 0.42/0.78 (assume @p78 (forall @t11 (tptp.relation @t92))) % 0.42/0.78 (assume @p79 (forall @t11 (=> @t59 (and (tptp.relation @t146) (tptp.function @t146))))) % 0.42/0.78 (assume @p80 (forall @t11 (tptp.element @t115 @t93))) % 0.42/0.78 (assume @p81 (forall @t6 (=> @t16 (tptp.relation @t130)))) % 0.42/0.78 (assume @p82 (forall @t6 (=> @t124 (tptp.element @t123 @t93)))) % 0.42/0.78 (assume @p83 (forall @t11 (=> @t16 @t147))) % 0.42/0.78 (assume @p84 (forall @t21 (=> @t82 (tptp.element @t148 @t93)))) % 0.42/0.78 (assume @p85 (forall @t6 (=> @t150 @t149))) % 0.42/0.78 (assume @p86 (forall @t21 (=> @t82 (tptp.element @t152 @t151)))) % 0.42/0.78 (assume @p87 (forall @t6 (=> @t144 (tptp.element @t153 @t93)))) % 0.42/0.78 (assume @p88 (forall @t11 @t154)) % 0.42/0.78 (assume @p89 (forall @t6 (=> @t144 (tptp.element @t155 @t93)))) % 0.42/0.78 (assume @p90 (forall @t21 (=> @t158 (tptp.element @t156 @t93)))) % 0.42/0.78 (assume @p91 (forall @t6 (=> @t16 @t159))) % 0.42/0.78 (assume @p92 (forall @t6 (=> @t144 (tptp.element @t142 @t143)))) % 0.42/0.78 (assume @p93 (forall @t6 (=> @t41 @t160))) % 0.42/0.78 (assume @p94 (forall @t21 (=> @t161 @t20))) % 0.42/0.78 (assume @p95 (forall @t6 (exists @t62 @t82))) % 0.42/0.78 (assume @p96 (forall @t11 (exists @t75 @t97))) % 0.42/0.78 (assume @p97 (forall @t6 (exists @t62 @t161))) % 0.42/0.78 (assume @p98 (forall @t6 (=> @t163 (and (tptp.empty @t162) (tptp.relation @t162))))) % 0.42/0.78 (assume @p99 (forall @t11 (=> @t10 (and (tptp.empty @t131) @t147)))) % 0.42/0.78 (assume @p100 (and @t166 @t165 @t164)) % 0.42/0.78 (assume @p101 (forall @t6 (=> @t168 (and @t159 (tptp.relation_empty_yielding @t51))))) % 0.42/0.78 (assume @p102 (forall @t6 (=> (and @t16 @t9 @t41 @t169) (and @t149 (tptp.function @t140))))) % 0.42/0.78 (assume @p103 (forall @t11 @t170)) % 0.42/0.78 (assume @p104 (forall @t6 (=> @t150 (tptp.relation @t29)))) % 0.42/0.78 (assume @p105 (forall @t11 (not (tptp.empty @t93)))) % 0.42/0.78 (assume @p106 @t166) % 0.42/0.78 (assume @p107 (forall @t6 (not (tptp.empty @t125)))) % 0.42/0.78 (assume @p108 (forall @t11 (and @t154 (tptp.function @t39)))) % 0.42/0.78 (assume @p109 (and @t165 @t164 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t166 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.42/0.78 (assume @p110 (forall @t6 (=> @t150 (tptp.relation @t28)))) % 0.42/0.78 (assume @p111 (forall @t11 (not (tptp.empty @t78)))) % 0.42/0.78 (assume @p112 (forall @t6 (=> @t98 (not (tptp.empty @t28))))) % 0.42/0.78 (assume @p113 (forall @t11 (=> @t23 (and @t147 (tptp.function @t131))))) % 0.42/0.78 (assume @p114 (forall @t11 (=> @t15 (and @t170 (tptp.epsilon_transitive @t79) (tptp.epsilon_connected @t79) (tptp.ordinal @t79))))) % 0.42/0.78 (assume @p115 (forall @t6 (=> @t150 (tptp.relation @t119)))) % 0.42/0.78 (assume @p116 (forall @t6 (not (tptp.empty @t26)))) % 0.42/0.78 (assume @p117 (forall @t6 (=> @t98 (not (tptp.empty @t27))))) % 0.42/0.78 (assume @p118 (forall @t6 (=> @t59 (and @t159 (tptp.function @t51))))) % 0.42/0.78 (assume @p119 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t116) (tptp.epsilon_connected @t116) (tptp.ordinal @t116))))) % 0.42/0.78 (assume @p120 (and @t166 @t165)) % 0.42/0.78 (assume @p121 (forall @t6 (=> (and @t98 @t171) (not (tptp.empty @t19))))) % 0.42/0.78 (assume @p122 (forall @t6 (=> @t172 (and @t160 (tptp.function @t61))))) % 0.42/0.78 (assume @p123 (forall @t11 (=> @t174 (not @t173)))) % 0.42/0.78 (assume @p124 (forall @t11 (=> @t174 (not @t175)))) % 0.42/0.78 (assume @p125 (forall @t11 (=> @t10 (and @t173 (tptp.relation @t54))))) % 0.42/0.78 (assume @p126 (forall @t11 (=> @t10 (and @t175 (tptp.relation @t121))))) % 0.42/0.78 (assume @p127 (forall @t6 (=> @t163 (and (tptp.empty @t140) @t149)))) % 0.42/0.78 (assume @p128 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.42/0.78 (assume @p129 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.42/0.78 (assume @p130 (forall @t6 (=> @t124 (= (tptp.subset_complement @t1 @t123) @t2)))) % 0.42/0.78 (assume @p131 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t131) @t1)))) % 0.42/0.78 (assume @p132 (forall @t6 (=> @t144 (= (tptp.complements_of_subsets @t1 @t142) @t2)))) % 0.42/0.78 (assume @p133 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.42/0.78 (assume @p134 (forall @t11 (=> @t16 (= @t117 (forall @t75 (=> @t176 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 0.42/0.78 (assume @p135 (forall @t11 (not (= @t78 tptp.empty_set)))) % 0.42/0.78 (assume @p136 (forall @t6 (=> @t5 (= (tptp.set_union2 @t78 @t2) @t2)))) % 0.42/0.78 (assume @p137 (forall @t6 (not (and @t177 @t5)))) % 0.42/0.78 (assume @p138 (forall @t6 (=> @t178 @t177))) % 0.42/0.78 (assume @p139 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_dom @t61) @t179)))) % 0.42/0.78 (assume @p140 (forall @t11 (=> @t16 (= @t70 (forall (@list @t2 @t17 @t33) (=> (and @t112 @t95) (tptp.in (tptp.ordered_pair @t2 @t33) @t1))))))) % 0.42/0.78 (assume @p141 (forall @t6 (= (tptp.subset @t78 @t2) @t5))) % 0.42/0.78 (assume @p142 (forall @t6 (= (= @t119 tptp.empty_set) @t43))) % 0.42/0.78 (assume @p143 (forall @t6 (=> @t124 (forall @t62 (=> @t80 @t35))))) % 0.42/0.78 (assume @p144 (forall @t11 (=> @t16 (= @t64 (forall @t52 (=> (and @t112 @t180) @t73)))))) % 0.42/0.78 (assume @p145 (forall @t21 (=> @t43 (or @t35 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t17))))))) % 0.42/0.78 (assume @p146 (forall @t11 (=> @t16 (= @t69 (forall @t52 (not (and @t176 (tptp.in @t17 @t63) @t103 @t181 (not @t180)))))))) % 0.42/0.78 (assume @p147 (forall @t6 (= (tptp.subset @t1 @t182) (or @t85 (= @t1 @t182))))) % 0.42/0.78 (assume @p148 (forall @t6 (=> @t5 (tptp.subset @t1 @t183)))) % 0.42/0.78 (assume @p149 (forall @t72 (= (tptp.in @t125 (tptp.cartesian_product2 @t17 @t33)) (and @t184 (tptp.in @t2 @t33))))) % 0.42/0.78 (assume @p150 (forall @t6 (=> @t105 @t185))) % 0.42/0.78 (assume @p151 (forall @t21 (=> @t137 (= @t187 (and (tptp.in @t2 @t134) @t3))))) % 0.42/0.78 (assume @p152 (exists @t11 @t59)) % 0.42/0.78 (assume @p153 (exists @t11 @t25)) % 0.42/0.78 (assume @p154 (exists @t11 (and @t10 @t16))) % 0.42/0.78 (assume @p155 (forall @t11 (=> @t98 (exists @t75 (and @t124 @t171))))) % 0.42/0.78 (assume @p156 (exists @t11 @t10)) % 0.42/0.78 (assume @p157 (exists @t11 @t24)) % 0.42/0.78 (assume @p158 (exists @t11 (and @t16 @t9 @t22 @t10 @t13 @t12 @t15))) % 0.42/0.78 (assume @p159 (exists @t11 @t174)) % 0.42/0.78 (assume @p160 (forall @t11 (exists @t75 (and @t124 @t96)))) % 0.42/0.78 (assume @p161 (exists @t11 @t98)) % 0.42/0.78 (assume @p162 (exists @t11 @t23)) % 0.42/0.78 (assume @p163 (exists @t11 (and @t98 @t13 @t12 @t15))) % 0.42/0.78 (assume @p164 (exists @t11 @t168)) % 0.42/0.78 (assume @p165 (exists @t11 (and @t16 @t167 @t9))) % 0.42/0.78 (assume @p166 (forall @t21 (=> @t82 (= @t148 @t134)))) % 0.42/0.78 (assume @p167 (forall @t21 (=> @t82 (= @t152 @t133)))) % 0.42/0.78 (assume @p168 (forall @t6 (=> @t144 (= @t153 @t183)))) % 0.42/0.78 (assume @p169 (forall @t6 (=> @t144 (= @t155 (tptp.set_meet @t2))))) % 0.42/0.78 (assume @p170 (forall @t21 (=> @t158 (= @t156 @t188)))) % 0.42/0.78 (assume @p171 (forall @t21 (= @t161 @t82))) % 0.42/0.78 (assume @p172 (forall @t6 (=> @t32 (= @t30 @t43)))) % 0.42/0.78 (assume @p173 (forall @t6 (=> @t32 (tptp.ordinal_subset @t1 @t1)))) % 0.42/0.78 (assume @p174 (forall @t6 (tptp.subset @t1 @t1))) % 0.42/0.78 (assume @p175 (forall @t11 (=> (exists @t75 (and @t31 @t3)) (exists @t75 (and @t31 @t3 (forall @t62 (=> @t189 (=> @t35 (tptp.ordinal_subset @t2 @t17))))))))) % 0.42/0.78 (assume @p176 @t230) % 0.42/0.78 (assume @p177 (forall @t6 (=> @t31 (=> (forall @t141 (=> (and @t34 (exists @t139 (and (tptp.ordinal @t101) @t213 (tptp.in @t101 @t1))) (= @t17 @t45) (exists (@list @t215) (and (tptp.ordinal @t215) (= @t45 @t215) (tptp.in @t215 @t1)))) @t222)) (exists @t62 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t231) (= @t45 @t33) (exists (@list @t214) (and (tptp.ordinal @t214) (= @t33 @t214) (tptp.in @t214 @t1)))))))))))) % 0.42/0.78 (assume @p178 @t244) % 0.42/0.78 (assume @p179 (forall @t6 (=> @t31 (exists @t62 (forall @t57 (= @t56 (and (tptp.in @t33 @t231) (exists @t55 (and (tptp.ordinal @t45) @t222 @t60))))))))) % 0.42/0.78 (assume @p180 (forall @t6 (=> @t138 (tptp.disjoint @t2 @t1)))) % 0.42/0.78 (assume @p181 (forall @t11 (tptp.in @t1 @t79))) % 0.42/0.78 (assume @p182 (forall @t72 (not (and (= @t26 (tptp.unordered_pair @t17 @t33)) (not @t245) (not (= @t1 @t33)))))) % 0.42/0.78 (assume @p183 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t133)))))) % 0.42/0.78 (assume @p184 (forall @t6 (=> @t41 (tptp.subset @t246 @t1)))) % 0.42/0.78 (assume @p185 (forall @t6 (=> @t41 (tptp.subset @t61 @t2)))) % 0.42/0.78 (assume @p186 (forall @t6 (=> @t41 (tptp.subset @t246 @t247)))) % 0.42/0.78 (assume @p187 (forall @t21 (=> @t43 (and (tptp.subset @t248 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 0.42/0.78 (assume @p188 (forall @t6 (=> @t41 (= @t246 (tptp.set_intersection2 @t247 @t1))))) % 0.42/0.78 (assume @p189 (forall @t72 (=> (and @t43 @t90) (tptp.subset @t248 (tptp.cartesian_product2 @t2 @t33))))) % 0.42/0.78 (assume @p190 (forall @t21 (=> @t161 (and (tptp.subset @t134 @t1) (tptp.subset @t133 @t2))))) % 0.42/0.78 (assume @p191 (forall @t6 (=> @t43 (= @t28 @t2)))) % 0.42/0.78 (assume @p192 (forall @t11 (exists @t75 (and @t5 @t251 (forall @t62 (=> @t80 (tptp.in @t250 @t2))) @t249)))) % 0.42/0.78 (assume @p193 (forall @t21 (=> @t18 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t252))))) % 0.42/0.78 (assume @p194 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_image @t17 @t2)) (exists @t57 (and (tptp.in @t33 @t134) (tptp.in (tptp.ordered_pair @t33 @t1) @t17) @t48)))))) % 0.42/0.78 (assume @p195 (forall @t6 (=> @t41 (tptp.subset @t253 @t247)))) % 0.42/0.78 (assume @p196 (forall @t6 (=> @t172 (tptp.subset @t255 @t1)))) % 0.42/0.78 (assume @p197 (forall @t6 (=> @t41 (= @t253 (tptp.relation_image @t2 @t256))))) % 0.42/0.78 (assume @p198 (forall @t6 (=> @t41 (=> (tptp.subset @t1 @t179) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t253)))))) % 0.42/0.78 (assume @p199 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t54) @t121)))) % 0.42/0.78 (assume @p200 (forall @t6 (=> @t172 (=> @t257 (= @t255 @t1))))) % 0.42/0.78 (assume @p201 (forall @t72 (=> @t259 (=> (tptp.subset (tptp.relation_rng @t33) @t2) @t258)))) % 0.42/0.78 (assume @p202 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t260 (tptp.relation_image @t2 @t121))))))) % 0.42/0.78 (assume @p203 (forall @t21 (=> @t18 (= (tptp.in @t1 @t261) (exists @t57 (and (tptp.in @t33 @t133) (tptp.in (tptp.ordered_pair @t1 @t33) @t17) @t48)))))) % 0.42/0.78 (assume @p204 (forall @t6 (=> @t41 (tptp.subset @t254 @t179)))) % 0.42/0.78 (assume @p205 (forall @t72 (=> @t259 (=> @t43 @t258)))) % 0.42/0.78 (assume @p206 (forall @t21 (=> @t18 (= (tptp.in @t1 @t262) (and @t184 (tptp.in @t1 @t129)))))) % 0.42/0.78 (assume @p207 (forall @t6 (=> @t41 (not (and @t88 @t257 (= @t254 tptp.empty_set)))))) % 0.42/0.78 (assume @p208 (forall @t21 (=> @t18 (=> @t43 (tptp.subset (tptp.relation_inverse_image @t17 @t1) @t261))))) % 0.42/0.78 (assume @p209 (forall @t6 (=> @t41 (= @t263 (tptp.relation_dom_restriction @t61 @t1))))) % 0.42/0.78 (assume @p210 (forall @t6 (tptp.subset @t29 @t1))) % 0.42/0.78 (assume @p211 (forall @t6 (=> @t41 (= @t263 (tptp.relation_rng_restriction @t1 @t264))))) % 0.42/0.78 (assume @p212 (forall @t21 (=> @t18 (=> (tptp.in @t1 (tptp.relation_field @t262)) (and @t266 @t5))))) % 0.42/0.78 (assume @p213 (forall @t21 (=> (and @t43 @t268) (tptp.subset @t1 @t267)))) % 0.42/0.78 (assume @p214 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.42/0.78 (assume @p215 (forall @t6 (=> @t5 @t269))) % 0.42/0.78 (assume @p216 (forall @t21 (=> (and @t43 (tptp.subset @t2 @t17)) @t268))) % 0.42/0.78 (assume @p217 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 0.42/0.78 (assume @p218 (forall @t21 (=> @t18 (=> @t271 (and @t270 (tptp.in @t2 @t133)))))) % 0.42/0.78 (assume @p219 (forall @t6 (=> @t41 (and (tptp.subset @t272 @t91) (tptp.subset @t272 @t1))))) % 0.42/0.78 (assume @p220 (forall @t6 (=> @t172 (forall @t62 (=> @t137 (= @t275 (and @t270 (tptp.in @t273 @t179)))))))) % 0.42/0.78 (assume @p221 (forall @t11 (=> @t13 (forall @t75 (=> @t31 (=> @t8 @t5)))))) % 0.42/0.78 (assume @p222 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t54 @t121))))) % 0.42/0.78 (assume @p223 (forall @t21 (=> @t18 (tptp.subset (tptp.fiber (tptp.relation_restriction @t17 @t1) @t2) (tptp.fiber @t17 @t2))))) % 0.42/0.78 (assume @p224 (forall @t6 (=> @t172 (forall @t62 (=> @t137 (=> @t275 (= (tptp.apply @t274 @t1) (tptp.apply @t2 @t273)))))))) % 0.42/0.78 (assume @p225 (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))))) % 0.42/0.78 (assume @p226 (forall @t6 (=> @t41 (=> @t276 (tptp.reflexive @t263))))) % 0.42/0.78 (assume @p227 (forall @t6 (=> @t172 (forall @t62 (=> @t137 (=> (tptp.in @t1 @t179) (= (tptp.apply (tptp.relation_composition @t2 @t17) @t1) (tptp.apply @t17 (tptp.apply @t2 @t1))))))))) % 0.42/0.78 (assume @p228 (forall @t6 (=> @t31 (=> @t5 @t15)))) % 0.42/0.78 (assume @p229 (forall @t21 (=> @t161 (= (forall @t57 (not (and @t48 (forall @t55 (not (tptp.in @t68 @t17)))))) (= @t152 @t2))))) % 0.42/0.78 (assume @p230 (forall @t6 (=> @t41 (=> @t277 (tptp.connected @t263))))) % 0.42/0.78 (assume @p231 (forall @t11 (=> @t15 (forall @t75 (=> @t31 (not (and @t178 @t145 @t4))))))) % 0.42/0.78 (assume @p232 (forall @t6 (=> @t41 (=> @t278 (tptp.transitive @t263))))) % 0.42/0.78 (assume @p233 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> @t43 (and (tptp.subset @t54 @t179) (tptp.subset @t121 @t247)))))))) % 0.42/0.78 (assume @p234 (forall @t6 (=> @t41 (=> @t279 (tptp.antisymmetric @t263))))) % 0.42/0.78 (assume @p235 (forall @t6 (=> @t41 (=> (tptp.well_orders @t2 @t1) (and @t281 @t280))))) % 0.42/0.78 (assume @p236 (forall @t21 (=> @t43 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t267)))) % 0.42/0.78 (assume @p237 (forall @t6 (=> @t43 (= @t29 @t1)))) % 0.42/0.78 (assume @p238 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.42/0.78 (assume @p239 (forall @t6 (=> @t269 (or @t96 @t5)))) % 0.42/0.78 (assume @p240 (forall @t6 (=> (forall @t62 (= @t35 @t80)) @t44))) % 0.42/0.78 (assume @p241 (forall @t11 (tptp.reflexive @t92))) % 0.42/0.78 (assume @p242 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 0.42/0.78 (assume @p243 (forall @t21 (=> @t18 (=> @t271 (and @t266 (tptp.in @t2 @t265)))))) % 0.42/0.78 (assume @p244 (forall @t11 (=> (forall @t75 (=> @t3 (and @t31 @t42))) @t15))) % 0.42/0.78 (assume @p245 (forall @t6 (=> @t41 (=> @t282 (tptp.well_founded_relation @t263))))) % 0.42/0.78 (assume @p246 (forall @t6 (=> @t31 (not (and @t43 @t88 (forall @t62 (=> @t189 (not (and @t35 (forall @t57 (=> (tptp.ordinal @t33) (=> @t87 (tptp.ordinal_subset @t17 @t33))))))))))))) % 0.42/0.78 (assume @p247 (forall @t6 (=> @t41 (=> @t283 @t280)))) % 0.42/0.78 (assume @p248 (forall @t11 (=> @t15 (forall @t75 (=> @t31 (= @t5 (tptp.ordinal_subset @t79 @t2))))))) % 0.42/0.78 (assume @p249 (forall @t21 (=> @t43 (tptp.subset (tptp.set_difference @t1 @t17) @t188)))) % 0.42/0.78 (assume @p250 (forall @t72 (=> (= @t125 @t36) (and @t245 @t94)))) % 0.42/0.78 (assume @p251 (forall @t6 (=> @t172 (= @t40 (and (= @t179 @t1) (forall @t62 (=> @t35 (= @t284 @t17)))))))) % 0.42/0.78 (assume @p252 (forall @t6 (=> @t3 (= (tptp.apply @t39 @t2) @t2)))) % 0.42/0.78 (assume @p253 (forall @t6 (tptp.subset @t119 @t1))) % 0.42/0.78 (assume @p254 (forall @t11 (=> @t16 (and (= @t121 (tptp.relation_dom @t131)) (= @t54 (tptp.relation_rng @t131)))))) % 0.42/0.78 (assume @p255 (forall @t21 (= (tptp.subset @t26 @t17) (and @t184 @t104)))) % 0.42/0.78 (assume @p256 (forall @t6 (=> @t41 (=> (and @t283 (tptp.subset @t1 @t91)) @t281)))) % 0.42/0.78 (assume @p257 (forall @t6 (= @t285 @t28))) % 0.42/0.78 (assume @p258 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.42/0.78 (assume @p259 (forall @t21 (not (and @t5 @t104 @t35)))) % 0.42/0.78 (assume @p260 (forall @t6 (= @t185 @t43))) % 0.42/0.78 (assume @p261 (forall @t11 (tptp.transitive @t92))) % 0.42/0.78 (assume @p262 (forall @t6 (and (not (and @t287 (forall @t62 (not @t286)))) (not (and (exists @t62 @t286) @t138))))) % 0.42/0.78 (assume @p263 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t85))) % 0.42/0.78 (assume @p264 (forall @t6 (= (tptp.set_difference @t28 @t2) @t119))) % 0.42/0.78 (assume @p265 (forall @t11 (=> @t15 (= @t128 (forall @t75 (=> @t31 (=> @t3 (tptp.in @t231 @t1)))))))) % 0.42/0.78 (assume @p266 (forall @t11 (=> @t15 (and (not (and (not @t128) (forall @t75 (=> @t31 (not @t288))))) (not (and (exists @t75 (and @t31 @t288)) @t128)))))) % 0.42/0.78 (assume @p267 (forall @t6 (=> @t124 (forall @t62 (=> @t157 (= @t290 (tptp.subset @t2 @t289))))))) % 0.42/0.78 (assume @p268 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (tptp.subset @t291 @t54)))))) % 0.42/0.78 (assume @p269 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (tptp.subset @t260 @t247)))))) % 0.42/0.78 (assume @p270 (forall @t6 (=> @t43 (= @t2 @t285)))) % 0.42/0.78 (assume @p271 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> (tptp.subset @t121 @t179) (= @t291 @t54))))))) % 0.42/0.78 (assume @p272 (forall @t6 (=> @t144 (not (and @t99 (= @t142 tptp.empty_set)))))) % 0.42/0.78 (assume @p273 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> (tptp.subset @t54 @t247) (= (tptp.relation_rng @t162) @t121))))))) % 0.42/0.78 (assume @p274 (forall @t6 (=> @t144 (=> @t99 (= (tptp.subset_difference @t1 @t115 @t153) (tptp.meet_of_subsets @t1 @t142)))))) % 0.42/0.78 (assume @p275 (forall @t6 (=> @t144 (=> @t99 (= (tptp.union_of_subsets @t1 @t142) (tptp.subset_difference @t1 @t115 @t155)))))) % 0.42/0.78 (assume @p276 (forall @t6 (= (tptp.set_difference @t1 @t119) @t29))) % 0.42/0.78 (assume @p277 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t137 (=> @t135 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t17)))))))))) % 0.42/0.78 (assume @p278 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.42/0.78 (assume @p279 (forall @t21 (=> (and @t5 @t292) (tptp.element @t1 @t17)))) % 0.42/0.78 (assume @p280 (forall @t11 (=> @t15 (tptp.connected @t92)))) % 0.42/0.78 (assume @p281 (forall @t6 (and (not (and @t287 (forall @t62 (not @t293)))) (not (and (exists @t62 @t293) @t138))))) % 0.42/0.78 (assume @p282 (forall @t11 (=> @t88 (forall @t75 (=> @t124 (forall @t62 (=> (tptp.element @t17 @t1) (=> @t102 (tptp.in @t17 @t123))))))))) % 0.42/0.78 (assume @p283 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t137 (=> @t135 (and (=> @t117 @t276) (=> @t70 @t278) (=> @t69 @t277) (=> @t64 @t279) (=> @t100 @t282)))))))))) % 0.42/0.78 (assume @p284 (forall @t11 (=> @t59 (=> @t22 (forall @t75 (=> @t172 (= (= @t2 @t146) (and (= @t179 @t121) (forall @t38 (and (=> @t294 @t120) (=> @t120 @t294))))))))))) % 0.42/0.78 (assume @p285 (forall @t21 (=> @t157 (not (and (tptp.in @t2 @t289) @t104))))) % 0.42/0.78 (assume @p286 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t137 (=> (and @t118 @t135) @t283)))))))) % 0.42/0.78 (assume @p287 (forall @t11 (=> @t59 (=> @t22 (and (= @t121 (tptp.relation_dom @t146)) (= @t54 (tptp.relation_rng @t146))))))) % 0.42/0.78 (assume @p288 (forall @t11 (=> @t16 (=> (forall @t52 @t181) @t85)))) % 0.42/0.78 (assume @p289 (forall @t6 (=> @t172 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t247)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t295 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t295 @t2) @t1))))))) % 0.42/0.78 (assume @p290 (forall @t21 (not (and @t5 @t292 (tptp.empty @t17))))) % 0.42/0.78 (assume @p291 (forall @t11 (=> @t16 (= @t100 (tptp.is_well_founded_in @t1 @t63))))) % 0.42/0.78 (assume @p292 (forall @t11 (tptp.antisymmetric @t92))) % 0.42/0.78 (assume @p293 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.42/0.78 (assume @p294 (forall @t6 (not (and @t43 @t7)))) % 0.42/0.78 (assume @p295 (forall @t11 (=> @t59 (=> @t22 (tptp.one_to_one @t146))))) % 0.42/0.78 (assume @p296 (forall @t21 (=> (and @t43 @t290) (tptp.disjoint @t1 @t17)))) % 0.42/0.78 (assume @p297 (forall @t11 (=> @t16 (=> (or @t297 @t296) @t85)))) % 0.42/0.78 (assume @p298 (forall @t11 (=> @t16 (= @t297 @t296)))) % 0.42/0.78 (assume @p299 (forall @t6 (= (= (tptp.set_difference @t1 @t182) @t1) @t4))) % 0.42/0.78 (assume @p300 (forall @t6 (=> @t172 (forall @t62 (=> @t137 (= (= @t2 @t186) (and (= @t179 (tptp.set_intersection2 @t134 @t1)) (forall @t57 (=> (tptp.in @t33 @t179) (= (tptp.apply @t2 @t33) @t132)))))))))) % 0.42/0.78 (assume @p301 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t78))) % 0.42/0.78 (assume @p302 (forall @t11 (=> @t10 @t85))) % 0.42/0.78 (assume @p303 (forall @t11 (=> @t15 (tptp.well_founded_relation @t92)))) % 0.42/0.78 (assume @p304 (forall @t6 (=> (tptp.subset @t78 @t182) @t44))) % 0.42/0.78 (assume @p305 (forall @t21 (=> @t137 (=> @t187 @t298)))) % 0.42/0.78 (assume @p306 (forall @t11 (and (= (tptp.relation_dom @t39) @t1) (= (tptp.relation_rng @t39) @t1)))) % 0.42/0.78 (assume @p307 (forall @t21 (=> @t137 (=> @t3 @t298)))) % 0.42/0.78 (assume @p308 (forall @t72 (=> (tptp.relation @t33) (= (tptp.in @t125 (tptp.relation_composition (tptp.identity_relation @t17) @t33)) (and @t184 (tptp.in @t125 @t33)))))) % 0.42/0.78 (assume @p309 (forall @t6 (not (and @t5 @t96)))) % 0.42/0.78 (assume @p310 (forall @t6 (and (= (tptp.pair_first @t125) @t1) (= (tptp.pair_second @t125) @t2)))) % 0.42/0.78 (assume @p311 (forall @t6 (not (and @t5 (forall @t62 (not (and @t80 (forall @t57 (not (and @t48 @t56)))))))))) % 0.42/0.78 (assume @p312 (forall @t11 (=> @t15 (tptp.well_ordering @t92)))) % 0.42/0.78 (assume @p313 (forall @t6 (tptp.subset @t1 @t28))) % 0.42/0.78 (assume @p314 (forall @t6 (= @t138 (= @t119 @t1)))) % 0.42/0.78 (assume @p315 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_dom @t252)) (and @t5 @t270))))) % 0.42/0.78 (assume @p316 (forall @t6 (=> @t41 (tptp.subset @t264 @t2)))) % 0.42/0.78 (assume @p317 (forall @t6 (not (and @t10 @t145 @t96)))) % 0.42/0.78 (assume @p318 (forall @t21 (=> @t137 (= @t271 (and @t270 (= @t2 @t273)))))) % 0.42/0.78 (assume @p319 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t63) @t118)))) % 0.42/0.78 (assume @p320 (forall @t21 (=> (and @t43 @t107) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 0.42/0.78 (assume @p321 (forall @t21 (=> @t299 @t44))) % 0.42/0.78 (assume @p322 (forall @t6 (=> @t41 (= (tptp.relation_dom @t264) @t256)))) % 0.42/0.78 (assume @p323 (forall @t6 (=> @t41 (= @t264 (tptp.relation_composition @t39 @t2))))) % 0.42/0.78 (assume @p324 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_rng @t264) @t247)))) % 0.42/0.78 (assume @p325 (forall @t11 (= (tptp.union @t93) @t1))) % 0.42/0.78 (assume @p326 (forall @t11 (exists @t75 (and @t5 @t251 (forall @t62 (not (and @t80 (forall @t57 (not (and @t48 (forall @t55 (=> (tptp.subset @t45 @t17) @t71)))))))) @t249)))) % 0.42/0.78 (assume @p327 (forall @t21 (=> @t299 @t73))) % 0.42/0.78 (step @p328 :rule aci_norm :args ((= (or @t308 @t303) @t307))) % 0.42/0.78 (step @p329 :rule refl :args (@t303)) % 0.42/0.78 (step @p330 :rule aci_norm :args ((= (or @t306 (or @t305 @t304)) @t308))) % 0.42/0.78 (step @p331 :rule bool-and-de-morgan :args (@t18 @t136 true)) % 0.42/0.78 (step @p332 :rule refl :args (@t306)) % 0.42/0.78 (step @p333 :rule nary_cong :premises (@p332 @p331) :args ((or @t306 (not @t137)))) % 0.42/0.78 (step @p334 :rule bool-and-de-morgan :args (@t41 @t18 (and @t136))) % 0.42/0.78 (step @p335 :rule trans :premises (@p334 @p333)) % 0.42/0.78 (step @p336 :rule trans :premises (@p335 @p330)) % 0.42/0.78 (step @p337 :rule nary_cong :premises (@p336 @p329) :args ((or @t309 @t303))) % 0.42/0.78 (step @p338 :rule trans :premises (@p337 @p328)) % 0.42/0.78 (step @p339 :rule bool-impl-elim :args (@t228 @t303)) % 0.42/0.78 (step @p340 :rule trans :premises (@p339 @p338)) % 0.42/0.78 (step @p341 :rule cong :premises (@p340) :args ((forall @t21 (=> @t228 @t303)))) % 0.42/0.78 (step @p342 :rule bool-impl-true2 :args (@t303)) % 0.42/0.78 (step @p343 :rule exists-elim :args ((= (exists @t57 @t302) @t303))) % 0.42/0.78 (step @p344 :rule bool-double-not-elim :args (@t237)) % 0.42/0.78 (step @p345 :rule refl :args (@t301)) % 0.42/0.78 (step @p346 :rule nary_cong :premises (@p345 @p344) :args ((and @t301 (not @t310)))) % 0.42/0.78 (step @p347 :rule bool-or-de-morgan :args (@t300 @t310 false)) % 0.42/0.78 (step @p348 :rule trans :premises (@p347 @p346)) % 0.42/0.78 (step @p349 :rule refl :args (@t71)) % 0.42/0.78 (step @p350 :rule cong :premises (@p349 @p348) :args (@t311)) % 0.42/0.78 (step @p351 :rule cong :premises (@p350) :args ((forall @t55 @t311))) % 0.42/0.78 (step @p352 :rule aci_norm :args ((= (or @t310 false) @t310))) % 0.42/0.78 (step @p353 :rule evaluate :args ((not true))) % 0.42/0.78 (step @p354 :rule eq-refl :args (@t45)) % 0.42/0.78 (step @p355 :rule cong :premises (@p354) :args (@t312)) % 0.42/0.78 (step @p356 :rule trans :premises (@p355 @p353)) % 0.42/0.78 (step @p357 :rule refl :args (@t310)) % 0.42/0.78 (step @p358 :rule nary_cong :premises (@p357 @p356) :args (@t313)) % 0.42/0.78 (step @p359 :rule trans :premises (@p358 @p352)) % 0.42/0.78 (step @p360 :rule quant-var-elim-eq :args ((= (forall @t139 (or (not @t197) @t315 @t314)) @t313))) % 0.42/0.78 (step @p361 :rule refl :args (@t314)) % 0.42/0.78 (step @p362 :rule refl :args (@t315)) % 0.42/0.78 (step @p363 :rule eq-symm :args (@t45 @t101)) % 0.42/0.78 (step @p364 :rule cong :premises (@p363) :args (@t314)) % 0.42/0.78 (step @p365 :rule nary_cong :premises (@p364 @p362 @p361) :args (@t316)) % 0.42/0.78 (step @p366 :rule aci_norm :args ((= @t317 @t316))) % 0.42/0.78 (step @p367 :rule trans :premises (@p366 @p365)) % 0.42/0.78 (step @p368 :rule cong :premises (@p367) :args (@t318)) % 0.42/0.78 (step @p369 :rule trans :premises (@p368 @p360)) % 0.42/0.78 (step @p370 :rule trans :premises (@p369 @p359)) % 0.42/0.78 (step @p371 :rule refl :args (@t300)) % 0.42/0.78 (step @p372 :rule nary_cong :premises (@p371 @p370) :args (@t319)) % 0.42/0.78 (step @p373 :rule quant-miniscope-or :args ((= (forall @t139 @t320) @t319))) % 0.42/0.78 (step @p374 :rule aci_norm :args ((= @t321 @t320))) % 0.42/0.78 (step @p375 :rule cong :premises (@p374) :args ((forall @t139 @t321))) % 0.42/0.78 (step @p376 :rule trans :premises (@p375 @p373)) % 0.42/0.78 (step @p377 :rule trans :premises (@p376 @p372)) % 0.42/0.78 (step @p378 :rule bool-double-not-elim :args (@t300)) % 0.42/0.78 (step @p379 :rule nary_cong :premises (@p362 @p361 @p378) :args (@t323)) % 0.42/0.78 (step @p380 :rule aci_norm :args ((= (or @t315 (or @t314 @t322)) @t323))) % 0.42/0.78 (step @p381 :rule trans :premises (@p380 @p379)) % 0.42/0.78 (step @p382 :rule bool-and-de-morgan :args (@t205 @t301 true)) % 0.42/0.78 (step @p383 :rule nary_cong :premises (@p362 @p382) :args ((or @t315 (not (and @t205 @t301))))) % 0.42/0.78 (step @p384 :rule bool-and-de-morgan :args (@t199 @t205 (and @t301))) % 0.42/0.78 (step @p385 :rule trans :premises (@p384 @p383)) % 0.42/0.78 (step @p386 :rule trans :premises (@p385 @p381)) % 0.42/0.78 (step @p387 :rule cong :premises (@p386) :args (@t325)) % 0.42/0.78 (step @p388 :rule trans :premises (@p387 @p377)) % 0.42/0.78 (step @p389 :rule cong :premises (@p388) :args (@t326)) % 0.42/0.78 (step @p390 :rule exists-elim :args ((= (exists @t139 @t324) @t326))) % 0.42/0.78 (step @p391 :rule trans :premises (@p390 @p389)) % 0.42/0.78 (step @p392 :rule bool-and-de-morgan :args (@t193 @t192 true)) % 0.42/0.78 (step @p393 :rule cong :premises (@p392) :args (@t327)) % 0.42/0.78 (step @p394 :rule cong :premises (@p393) :args (@t328)) % 0.42/0.78 (step @p395 :rule exists-elim :args ((= @t196 @t328))) % 0.42/0.78 (step @p396 :rule trans :premises (@p395 @p394)) % 0.42/0.78 (step @p397 :rule eq-symm :args (@t101 @t45)) % 0.42/0.78 (step @p398 :rule refl :args (@t199)) % 0.42/0.78 (step @p399 :rule nary_cong :premises (@p398 @p397 @p396) :args (@t200)) % 0.42/0.78 (step @p400 :rule cong :premises (@p399) :args (@t201)) % 0.42/0.78 (step @p401 :rule trans :premises (@p400 @p391)) % 0.42/0.78 (step @p402 :rule refl :args (@t71)) % 0.42/0.78 (step @p403 :rule cong :premises (@p402 @p401) :args (@t202)) % 0.42/0.78 (step @p404 :rule cong :premises (@p403) :args (@t203)) % 0.42/0.78 (step @p405 :rule trans :premises (@p404 @p351)) % 0.42/0.78 (step @p406 :rule cong :premises (@p405) :args (@t204)) % 0.42/0.78 (step @p407 :rule trans :premises (@p406 @p343)) % 0.42/0.78 (step @p408 :rule quant-unused-vars :args ((= (forall @t333 true) true))) % 0.42/0.78 (step @p409 :rule bool-or-taut2 :args (false @t205 false (or @t337 @t336 @t335 @t334))) % 0.42/0.78 (step @p410 :rule cong :premises (@p409) :args ((forall @t333 @t338))) % 0.42/0.78 (step @p411 :rule trans :premises (@p410 @p408)) % 0.42/0.78 (step @p412 :rule aci_norm :args ((= (or false @t314 @t205 @t337 @t336 @t335 @t334) @t338))) % 0.42/0.78 (step @p413 :rule refl :args (@t334)) % 0.42/0.78 (step @p414 :rule refl :args (@t335)) % 0.42/0.78 (step @p415 :rule refl :args (@t336)) % 0.42/0.78 (step @p416 :rule refl :args (@t337)) % 0.42/0.78 (step @p417 :rule refl :args (@t205)) % 0.42/0.78 (step @p418 :rule refl :args (@t314)) % 0.42/0.78 (step @p419 :rule nary_cong :premises (@p356 @p418 @p417 @p416 @p415 @p414 @p413) :args (@t339)) % 0.42/0.78 (step @p420 :rule trans :premises (@p419 @p412)) % 0.42/0.78 (step @p421 :rule cong :premises (@p420) :args ((forall @t333 @t339))) % 0.42/0.78 (step @p422 :rule trans :premises (@p421 @p411)) % 0.42/0.78 (step @p423 :rule quant-var-elim-eq :args ((= (forall @t57 @t342) @t339))) % 0.42/0.78 (step @p424 :rule aci_norm :args ((= @t343 @t342))) % 0.42/0.78 (step @p425 :rule cong :premises (@p424) :args (@t344)) % 0.42/0.78 (step @p426 :rule trans :premises (@p425 @p423)) % 0.42/0.78 (step @p427 :rule cong :premises (@p426) :args (@t345)) % 0.42/0.78 (step @p428 :rule quant-merge-prenex :args ((= @t345 @t346))) % 0.42/0.78 (step @p429 :rule symm :premises (@p428)) % 0.42/0.78 (step @p430 :rule quant_var_reordering :args ((= (forall @t347 @t343) @t346))) % 0.42/0.78 (step @p431 :rule trans :premises (@p430 @p429 @p427)) % 0.42/0.78 (step @p432 :rule trans :premises (@p431 @p422)) % 0.42/0.78 (step @p433 :rule aci_norm :args ((= @t350 @t343))) % 0.42/0.78 (step @p434 :rule cong :premises (@p433) :args (@t351)) % 0.42/0.78 (step @p435 :rule trans :premises (@p434 @p432)) % 0.42/0.78 (step @p436 :rule quant-merge-prenex :args ((= (forall @t225 @t352) @t351))) % 0.42/0.78 (step @p437 :rule refl :args (@t205)) % 0.42/0.78 (step @p438 :rule alpha_equiv :args (@t353 (@list @t330 @t329) (@list @t207 @t206))) % 0.42/0.78 (step @p439 :rule refl :args (@t340)) % 0.42/0.78 (step @p440 :rule alpha_equiv :args (@t354 (@list @t332 @t331) (@list @t215 @t214))) % 0.42/0.78 (step @p441 :rule refl :args (@t341)) % 0.42/0.78 (step @p442 :rule nary_cong :premises (@p441 @p440 @p439 @p438 @p437) :args (@t355)) % 0.42/0.78 (step @p443 :rule quant-miniscope-or :args ((= @t352 @t355))) % 0.42/0.78 (step @p444 :rule trans :premises (@p443 @p442)) % 0.42/0.78 (step @p445 :rule symm :premises (@p444)) % 0.42/0.78 (step @p446 :rule cong :premises (@p445) :args ((forall @t225 @t358))) % 0.42/0.78 (step @p447 :rule trans :premises (@p446 @p436)) % 0.42/0.78 (step @p448 :rule trans :premises (@p447 @p435)) % 0.42/0.78 (step @p449 :rule aci_norm :args ((= (or (or @t341 @t357 @t340 @t356) @t205) @t358))) % 0.42/0.78 (step @p450 :rule bool-double-not-elim :args (@t356)) % 0.42/0.78 (step @p451 :rule bool-double-not-elim :args (@t357)) % 0.42/0.78 (step @p452 :rule nary_cong :premises (@p441 @p451 @p439 @p450) :args (@t363)) % 0.42/0.78 (step @p453 :rule aci_norm :args ((= (or @t341 (or @t362 (or @t340 @t360))) @t363))) % 0.42/0.78 (step @p454 :rule trans :premises (@p453 @p452)) % 0.42/0.78 (step @p455 :rule bool-and-de-morgan :args (@t213 @t359 true)) % 0.42/0.78 (step @p456 :rule refl :args (@t362)) % 0.42/0.78 (step @p457 :rule nary_cong :premises (@p456 @p455) :args ((or @t362 (not (and @t213 @t359))))) % 0.42/0.78 (step @p458 :rule bool-and-de-morgan :args (@t361 @t213 (and @t359))) % 0.42/0.78 (step @p459 :rule trans :premises (@p458 @p457)) % 0.42/0.78 (step @p460 :rule nary_cong :premises (@p441 @p459) :args ((or @t341 (not (and @t361 @t213 @t359))))) % 0.42/0.78 (step @p461 :rule bool-and-de-morgan :args (@t222 @t361 (and @t213 @t359))) % 0.42/0.78 (step @p462 :rule trans :premises (@p461 @p460)) % 0.42/0.78 (step @p463 :rule trans :premises (@p462 @p454)) % 0.42/0.78 (step @p464 :rule nary_cong :premises (@p463 @p437) :args ((or (not @t364) @t205))) % 0.42/0.78 (step @p465 :rule trans :premises (@p464 @p449)) % 0.42/0.78 (step @p466 :rule bool-impl-elim :args (@t364 @t205)) % 0.42/0.78 (step @p467 :rule trans :premises (@p466 @p465)) % 0.42/0.78 (step @p468 :rule cong :premises (@p467) :args ((forall @t225 (=> @t364 @t205)))) % 0.42/0.78 (step @p469 :rule trans :premises (@p468 @p448)) % 0.42/0.78 (step @p470 :rule bool-and-de-morgan :args (@t209 @t208 true)) % 0.42/0.78 (step @p471 :rule cong :premises (@p470) :args (@t365)) % 0.42/0.78 (step @p472 :rule cong :premises (@p471) :args (@t366)) % 0.42/0.78 (step @p473 :rule exists-elim :args ((= @t212 @t366))) % 0.42/0.78 (step @p474 :rule trans :premises (@p473 @p472)) % 0.42/0.78 (step @p475 :rule refl :args (@t213)) % 0.42/0.78 (step @p476 :rule bool-and-de-morgan :args (@t218 @t217 true)) % 0.42/0.78 (step @p477 :rule cong :premises (@p476) :args (@t367)) % 0.42/0.78 (step @p478 :rule cong :premises (@p477) :args (@t368)) % 0.42/0.78 (step @p479 :rule exists-elim :args ((= @t221 @t368))) % 0.42/0.78 (step @p480 :rule trans :premises (@p479 @p478)) % 0.42/0.78 (step @p481 :rule refl :args (@t222)) % 0.42/0.78 (step @p482 :rule nary_cong :premises (@p481 @p480 @p475 @p474) :args (@t223)) % 0.42/0.78 (step @p483 :rule cong :premises (@p482 @p417) :args (@t224)) % 0.42/0.78 (step @p484 :rule cong :premises (@p483) :args (@t226)) % 0.42/0.78 (step @p485 :rule trans :premises (@p484 @p469)) % 0.42/0.78 (step @p486 :rule cong :premises (@p485 @p407) :args (@t227)) % 0.42/0.78 (step @p487 :rule trans :premises (@p486 @p342)) % 0.42/0.78 (step @p488 :rule refl :args (@t228)) % 0.42/0.78 (step @p489 :rule cong :premises (@p488 @p487) :args (@t229)) % 0.42/0.78 (step @p490 :rule cong :premises (@p489) :args (@t230)) % 0.42/0.78 (step @p491 :rule trans :premises (@p490 @p341)) % 0.42/0.78 (step @p492 :rule eq_resolve :premises (@p176 @p491)) % 0.42/0.78 (step @p493 :rule aci_norm :args ((= @t371 @t370))) % 0.42/0.78 (step @p494 :rule cong :premises (@p349 @p493) :args (@t372)) % 0.42/0.78 (step @p495 :rule cong :premises (@p494) :args (@t373)) % 0.42/0.78 (step @p496 :rule cong :premises (@p495) :args (@t374)) % 0.42/0.78 (step @p497 :rule cong :premises (@p496) :args (@t375)) % 0.42/0.78 (step @p498 :rule cong :premises (@p497) :args (@t376)) % 0.42/0.78 (step @p499 :rule refl :args (@t304)) % 0.42/0.78 (step @p500 :rule refl :args (@t305)) % 0.42/0.78 (step @p501 :rule nary_cong :premises (@p332 @p500 @p499 @p498) :args (@t377)) % 0.42/0.78 (step @p502 :rule cong :premises (@p501) :args (@t378)) % 0.42/0.78 (step @p503 :rule symm :premises (@p502)) % 0.42/0.78 (step @p504 :rule true_intro :premises (@p503)) % 0.42/0.78 (step @p505 :rule eq-symm :args (@t378 @t379)) % 0.42/0.78 (step @p506 :rule trans :premises (@p505 @p504)) % 0.42/0.78 (step @p507 :rule cong :premises (@p503 @p502) :args ((= @t379 @t378))) % 0.42/0.78 (step @p508 :rule trans :premises (@p507 @p506)) % 0.42/0.78 (step @p509 :rule true_elim :premises (@p508)) % 0.42/0.78 (step @p510 :rule alpha_equiv :args ((forall (@list @t380 @t382 @t384) (or (not (tptp.relation @t382)) (not (tptp.relation @t384)) (not (tptp.function @t384)) (not (forall (@list @t386) (not (forall (@list @t381) (= (tptp.in @t381 @t386) (and (not (forall (@list @t385 @t383) (or (not (= @t381 (tptp.ordered_pair @t385 @t383))) (not (tptp.in (tptp.ordered_pair (tptp.apply @t384 @t385) (tptp.apply @t384 @t383)) @t382))))) (tptp.in @t381 (tptp.cartesian_product2 @t380 @t380)))))))))) @t387 (@list @t17 @t2 @t33 @t45 @t101 @t215 @t1))) % 0.42/0.78 (step @p511 :rule alpha_equiv :args (@t388 (@list @t17 @t2 @t33 @t45 @t191 @t190 @t1) @t387)) % 0.42/0.78 (step @p512 :rule trans :premises (@p511 @p510 @p509)) % 0.42/0.78 (step @p513 :rule equiv_elim1 :premises (@p512)) % 0.42/0.78 (step @p514 :rule reordering :premises (@p513) :args ((or @t378 (not @t388)))) % 0.42/0.78 (step @p515 :rule chain_m_resolution :premises (@p514 @p492) :args (@t378 @t389 (@list @t388))) % 0.42/0.78 (step @p516 :rule aci_norm :args ((= (or @t308 @t376) @t377))) % 0.42/0.78 (step @p517 :rule refl :args (@t376)) % 0.42/0.78 (step @p518 :rule nary_cong :premises (@p336 @p517) :args ((or @t309 @t376))) % 0.42/0.78 (step @p519 :rule trans :premises (@p518 @p516)) % 0.42/0.78 (step @p520 :rule bool-impl-elim :args (@t228 @t376)) % 0.42/0.78 (step @p521 :rule trans :premises (@p520 @p519)) % 0.42/0.78 (step @p522 :rule cong :premises (@p521) :args ((forall @t21 (=> @t228 @t376)))) % 0.42/0.78 (step @p523 :rule exists-elim :args ((= (exists @t57 @t373) @t376))) % 0.42/0.78 (step @p524 :rule bool-and-de-morgan :args (@t233 @t232 true)) % 0.42/0.78 (step @p525 :rule cong :premises (@p524) :args (@t390)) % 0.42/0.78 (step @p526 :rule cong :premises (@p525) :args (@t391)) % 0.42/0.78 (step @p527 :rule exists-elim :args ((= @t236 @t391))) % 0.42/0.78 (step @p528 :rule trans :premises (@p527 @p526)) % 0.42/0.78 (step @p529 :rule refl :args (@t237)) % 0.42/0.78 (step @p530 :rule nary_cong :premises (@p529 @p528) :args (@t238)) % 0.42/0.78 (step @p531 :rule cong :premises (@p402 @p530) :args (@t239)) % 0.42/0.78 (step @p532 :rule cong :premises (@p531) :args (@t240)) % 0.42/0.78 (step @p533 :rule cong :premises (@p532) :args (@t241)) % 0.42/0.78 (step @p534 :rule trans :premises (@p533 @p523)) % 0.42/0.78 (step @p535 :rule cong :premises (@p488 @p534) :args (@t242)) % 0.42/0.78 (step @p536 :rule cong :premises (@p535) :args (@t243)) % 0.42/0.78 (step @p537 :rule trans :premises (@p536 @p522)) % 0.42/0.78 (step @p538 :rule cong :premises (@p537) :args (@t244)) % 0.42/0.78 (step @p539 :rule eq_resolve :premises (@p178 @p538)) % 0.42/0.78 (step @p540 false :rule chain_m_resolution :premises (@p539 @p515) :args (false @t389 (@list @t378))) % 0.42/0.78 ) % 0.42/0.78 % SZS output end Proof % 0.42/0.78 % cvc5 exiting %------------------------------------------------------------------------------