%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU294+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:16 AM UTC 2026 % Result : Theorem 2.53s 2.73s % Output : Proof 2.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU294+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.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 16:54:10 EDT 2026 % 0.17/0.34 % CPUTime : % 0.39/0.58 %----Proving TF0_NAR, FOF, or CNF % 2.53/2.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.53/2.73 % SZS status Theorem % 2.53/2.73 % SZS output start Proof % 2.53/2.73 ( % 2.53/2.73 (declare-sort $$unsorted 0) % 2.53/2.73 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.connected (-> $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.function (-> $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.finite (-> $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.empty (-> $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.empty_set $$unsorted) % 2.53/2.73 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.relation (-> $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.natural (-> $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.transitive (-> $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 2.53/2.73 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 2.53/2.73 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.73 (define @t1 () (@var "A" $$unsorted)) % 2.53/2.73 (define @t2 () (@var "B" $$unsorted)) % 2.53/2.73 (define @t3 () (tptp.in @t2 @t1)) % 2.53/2.73 (define @t4 () (not @t3)) % 2.53/2.73 (define @t5 () (tptp.in @t1 @t2)) % 2.53/2.73 (define @t6 () (@list @t1 @t2)) % 2.53/2.73 (define @t7 () (tptp.proper_subset @t2 @t1)) % 2.53/2.73 (define @t8 () (tptp.proper_subset @t1 @t2)) % 2.53/2.73 (define @t9 () (tptp.ordinal @t2)) % 2.53/2.73 (define @t10 () (tptp.epsilon_connected @t2)) % 2.53/2.73 (define @t11 () (tptp.epsilon_transitive @t2)) % 2.53/2.73 (define @t12 () (tptp.element @t2 @t1)) % 2.53/2.73 (define @t13 () (@list @t2)) % 2.53/2.73 (define @t14 () (tptp.ordinal @t1)) % 2.53/2.73 (define @t15 () (@list @t1)) % 2.53/2.73 (define @t16 () (tptp.finite @t1)) % 2.53/2.73 (define @t17 () (tptp.empty @t1)) % 2.53/2.73 (define @t18 () (tptp.function @t1)) % 2.53/2.73 (define @t19 () (tptp.epsilon_connected @t1)) % 2.53/2.73 (define @t20 () (tptp.epsilon_transitive @t1)) % 2.53/2.73 (define @t21 () (and @t20 @t19)) % 2.53/2.73 (define @t22 () (tptp.relation @t1)) % 2.53/2.73 (define @t23 () (@var "C" $$unsorted)) % 2.53/2.73 (define @t24 () (tptp.relation @t23)) % 2.53/2.73 (define @t25 () (tptp.cartesian_product2 @t1 @t2)) % 2.53/2.73 (define @t26 () (tptp.element @t23 (tptp.powerset @t25))) % 2.53/2.73 (define @t27 () (@list @t1 @t2 @t23)) % 2.53/2.73 (define @t28 () (tptp.natural @t1)) % 2.53/2.73 (define @t29 () (tptp.finite @t2)) % 2.53/2.73 (define @t30 () (tptp.powerset @t1)) % 2.53/2.73 (define @t31 () (tptp.element @t2 @t30)) % 2.53/2.73 (define @t32 () (forall @t13 (=> @t31 @t29))) % 2.53/2.73 (define @t33 () (=> @t16 @t32)) % 2.53/2.73 (define @t34 () (forall @t15 @t33)) % 2.53/2.73 (define @t35 () (tptp.one_to_one @t1)) % 2.53/2.73 (define @t36 () (and @t22 @t18 @t35)) % 2.53/2.73 (define @t37 () (and @t22 @t17 @t18)) % 2.53/2.73 (define @t38 () (and @t20 @t19 @t14)) % 2.53/2.73 (define @t39 () (tptp.unordered_pair @t1 @t2)) % 2.53/2.73 (define @t40 () (tptp.set_union2 @t2 @t1)) % 2.53/2.73 (define @t41 () (tptp.set_union2 @t1 @t2)) % 2.53/2.73 (define @t42 () (tptp.set_intersection2 @t1 @t2)) % 2.53/2.73 (define @t43 () (tptp.ordinal_subset @t1 @t2)) % 2.53/2.73 (define @t44 () (and @t14 @t9)) % 2.53/2.73 (define @t45 () (@var "D" $$unsorted)) % 2.53/2.73 (define @t46 () (= @t23 @t45)) % 2.53/2.73 (define @t47 () (tptp.in @t23 @t1)) % 2.53/2.73 (define @t48 () (tptp.ordered_pair @t23 @t45)) % 2.53/2.73 (define @t49 () (tptp.in @t48 @t2)) % 2.53/2.73 (define @t50 () (@list @t23 @t45)) % 2.53/2.73 (define @t51 () (tptp.identity_relation @t1)) % 2.53/2.73 (define @t52 () (= @t2 @t51)) % 2.53/2.73 (define @t53 () (tptp.relation @t2)) % 2.53/2.73 (define @t54 () (tptp.subset @t2 @t1)) % 2.53/2.73 (define @t55 () (tptp.subset @t1 @t2)) % 2.53/2.73 (define @t56 () (= @t1 @t2)) % 2.53/2.73 (define @t57 () (@var "E" $$unsorted)) % 2.53/2.73 (define @t58 () (tptp.ordered_pair @t45 @t57)) % 2.53/2.73 (define @t59 () (tptp.in @t58 @t1)) % 2.53/2.73 (define @t60 () (tptp.in @t45 @t2)) % 2.53/2.73 (define @t61 () (tptp.in @t58 @t23)) % 2.53/2.73 (define @t62 () (@list @t45 @t57)) % 2.53/2.73 (define @t63 () (tptp.relation_dom_restriction @t1 @t2)) % 2.53/2.73 (define @t64 () (@list @t2 @t23)) % 2.53/2.73 (define @t65 () (tptp.in @t57 @t2)) % 2.53/2.73 (define @t66 () (tptp.relation_dom @t1)) % 2.53/2.73 (define @t67 () (@list @t57)) % 2.53/2.73 (define @t68 () (tptp.in @t45 @t23)) % 2.53/2.73 (define @t69 () (@list @t45)) % 2.53/2.73 (define @t70 () (= @t23 (tptp.relation_image @t1 @t2))) % 2.53/2.73 (define @t71 () (and @t22 @t18)) % 2.53/2.73 (define @t72 () (tptp.in @t57 @t1)) % 2.53/2.73 (define @t73 () (tptp.relation_rng_restriction @t1 @t2)) % 2.53/2.73 (define @t74 () (@list @t23)) % 2.53/2.73 (define @t75 () (tptp.relation_field @t1)) % 2.53/2.73 (define @t76 () (tptp.antisymmetric @t1)) % 2.53/2.73 (define @t77 () (tptp.apply @t1 @t45)) % 2.53/2.73 (define @t78 () (tptp.in @t45 @t66)) % 2.53/2.73 (define @t79 () (= @t23 (tptp.relation_inverse_image @t1 @t2))) % 2.53/2.73 (define @t80 () (tptp.ordered_pair @t57 @t45)) % 2.53/2.73 (define @t81 () (tptp.connected @t1)) % 2.53/2.73 (define @t82 () (tptp.transitive @t1)) % 2.53/2.73 (define @t83 () (tptp.in @t57 @t45)) % 2.53/2.73 (define @t84 () (@list @t1 @t2 @t23 @t45)) % 2.53/2.73 (define @t85 () (tptp.in (tptp.ordered_pair @t2 @t45) @t1)) % 2.53/2.73 (define @t86 () (tptp.ordered_pair @t2 @t23)) % 2.53/2.73 (define @t87 () (tptp.in @t86 @t1)) % 2.53/2.73 (define @t88 () (@list @t2 @t23 @t45)) % 2.53/2.73 (define @t89 () (= @t23 tptp.empty_set)) % 2.53/2.73 (define @t90 () (tptp.quasi_total @t23 @t1 @t2)) % 2.53/2.73 (define @t91 () (= @t1 tptp.empty_set)) % 2.53/2.73 (define @t92 () (= @t2 tptp.empty_set)) % 2.53/2.73 (define @t93 () (tptp.relation_dom_as_subset @t1 @t2 @t23)) % 2.53/2.73 (define @t94 () (tptp.relation_of2_as_subset @t23 @t1 @t2)) % 2.53/2.73 (define @t95 () (= @t2 @t23)) % 2.53/2.73 (define @t96 () (= @t1 @t48)) % 2.53/2.73 (define @t97 () (exists @t64 (= @t1 @t86))) % 2.53/2.73 (define @t98 () (tptp.singleton @t1)) % 2.53/2.73 (define @t99 () (tptp.succ @t1)) % 2.53/2.73 (define @t100 () (tptp.in @t23 @t2)) % 2.53/2.73 (define @t101 () (tptp.is_reflexive_in @t1 @t2)) % 2.53/2.73 (define @t102 () (tptp.relation_of2 @t23 @t1 @t2)) % 2.53/2.73 (define @t103 () (= @t2 (tptp.set_meet @t1))) % 2.53/2.73 (define @t104 () (tptp.in @t23 @t45)) % 2.53/2.73 (define @t105 () (tptp.in @t45 @t1)) % 2.53/2.73 (define @t106 () (not @t91)) % 2.53/2.73 (define @t107 () (= @t45 @t2)) % 2.53/2.73 (define @t108 () (tptp.subset @t23 @t45)) % 2.53/2.73 (define @t109 () (tptp.relation_field @t2)) % 2.53/2.73 (define @t110 () (tptp.inclusion_relation @t1)) % 2.53/2.73 (define @t111 () (= @t2 @t45)) % 2.53/2.73 (define @t112 () (tptp.in @t48 @t1)) % 2.53/2.73 (define @t113 () (tptp.empty @t2)) % 2.53/2.73 (define @t114 () (not @t17)) % 2.53/2.73 (define @t115 () (not @t92)) % 2.53/2.73 (define @t116 () (tptp.well_founded_relation @t1)) % 2.53/2.73 (define @t117 () (@var "F" $$unsorted)) % 2.53/2.73 (define @t118 () (tptp.ordered_pair @t57 @t117)) % 2.53/2.73 (define @t119 () (@list @t57 @t117)) % 2.53/2.73 (define @t120 () (not @t100)) % 2.53/2.73 (define @t121 () (not @t95)) % 2.53/2.73 (define @t122 () (tptp.in @t2 @t23)) % 2.53/2.73 (define @t123 () (forall @t74 (=> @t47 @t100))) % 2.53/2.73 (define @t124 () (tptp.subset @t23 @t2)) % 2.53/2.73 (define @t125 () (tptp.is_well_founded_in @t1 @t2)) % 2.53/2.73 (define @t126 () (tptp.apply @t1 @t2)) % 2.53/2.73 (define @t127 () (= @t23 @t126)) % 2.53/2.73 (define @t128 () (tptp.in @t2 @t66)) % 2.53/2.73 (define @t129 () (tptp.in (tptp.ordered_pair @t45 @t23) @t1)) % 2.53/2.73 (define @t130 () (tptp.is_antisymmetric_in @t1 @t2)) % 2.53/2.73 (define @t131 () (tptp.cast_to_subset @t1)) % 2.53/2.73 (define @t132 () (tptp.union @t1)) % 2.53/2.73 (define @t133 () (tptp.reflexive @t1)) % 2.53/2.73 (define @t134 () (tptp.well_ordering @t1)) % 2.53/2.73 (define @t135 () (tptp.relation_rng @t23)) % 2.53/2.73 (define @t136 () (tptp.relation_dom @t23)) % 2.53/2.73 (define @t137 () (= @t136 @t1)) % 2.53/2.73 (define @t138 () (tptp.one_to_one @t23)) % 2.53/2.73 (define @t139 () (tptp.function @t23)) % 2.53/2.73 (define @t140 () (tptp.equipotent @t1 @t2)) % 2.53/2.73 (define @t141 () (tptp.set_difference @t1 @t2)) % 2.53/2.73 (define @t142 () (and @t78 (= @t23 @t77))) % 2.53/2.73 (define @t143 () (tptp.relation_rng @t1)) % 2.53/2.73 (define @t144 () (= @t2 @t143)) % 2.53/2.73 (define @t145 () (tptp.subset_complement @t1 @t2)) % 2.53/2.73 (define @t146 () (tptp.ordered_pair @t1 @t2)) % 2.53/2.73 (define @t147 () (tptp.is_connected_in @t1 @t2)) % 2.53/2.73 (define @t148 () (tptp.is_transitive_in @t1 @t2)) % 2.53/2.73 (define @t149 () (tptp.being_limit_ordinal @t1)) % 2.53/2.73 (define @t150 () (tptp.cartesian_product2 @t2 @t2)) % 2.53/2.73 (define @t151 () (tptp.relation_restriction @t1 @t2)) % 2.53/2.73 (define @t152 () (tptp.relation_inverse @t1)) % 2.53/2.73 (define @t153 () (tptp.apply @t23 @t57)) % 2.53/2.73 (define @t154 () (tptp.apply @t23 @t45)) % 2.53/2.73 (define @t155 () (tptp.relation_isomorphism @t1 @t2 @t23)) % 2.53/2.73 (define @t156 () (and @t24 @t139)) % 2.53/2.73 (define @t157 () (tptp.disjoint @t1 @t2)) % 2.53/2.73 (define @t158 () (@list @t117)) % 2.53/2.73 (define @t159 () (tptp.relation_composition @t1 @t2)) % 2.53/2.73 (define @t160 () (@list @t23 @t45 @t57)) % 2.53/2.73 (define @t161 () (tptp.complements_of_subsets @t1 @t2)) % 2.53/2.73 (define @t162 () (tptp.powerset @t30)) % 2.53/2.73 (define @t163 () (tptp.element @t2 @t162)) % 2.53/2.73 (define @t164 () (not @t56)) % 2.53/2.73 (define @t165 () (tptp.function_inverse @t1)) % 2.53/2.73 (define @t166 () (tptp.relation @t152)) % 2.53/2.73 (define @t167 () (tptp.relation @t159)) % 2.53/2.73 (define @t168 () (and @t22 @t53)) % 2.53/2.73 (define @t169 () (tptp.powerset @t2)) % 2.53/2.73 (define @t170 () (tptp.relation_rng_as_subset @t1 @t2 @t23)) % 2.53/2.73 (define @t171 () (tptp.union_of_subsets @t1 @t2)) % 2.53/2.73 (define @t172 () (tptp.relation @t51)) % 2.53/2.73 (define @t173 () (tptp.meet_of_subsets @t1 @t2)) % 2.53/2.73 (define @t174 () (tptp.subset_difference @t1 @t2 @t23)) % 2.53/2.73 (define @t175 () (tptp.element @t23 @t30)) % 2.53/2.73 (define @t176 () (and @t31 @t175)) % 2.53/2.73 (define @t177 () (tptp.relation @t63)) % 2.53/2.73 (define @t178 () (tptp.relation @t73)) % 2.53/2.73 (define @t179 () (tptp.relation_composition @t2 @t1)) % 2.53/2.73 (define @t180 () (and @t17 @t53)) % 2.53/2.73 (define @t181 () (tptp.relation_empty_yielding tptp.empty_set)) % 2.53/2.73 (define @t182 () (tptp.relation tptp.empty_set)) % 2.53/2.73 (define @t183 () (tptp.empty tptp.empty_set)) % 2.53/2.73 (define @t184 () (tptp.relation_empty_yielding @t1)) % 2.53/2.73 (define @t185 () (and @t22 @t184)) % 2.53/2.73 (define @t186 () (tptp.function @t2)) % 2.53/2.73 (define @t187 () (not (tptp.empty @t99))) % 2.53/2.73 (define @t188 () (not @t113)) % 2.53/2.73 (define @t189 () (and @t53 @t186)) % 2.53/2.73 (define @t190 () (tptp.empty @t66)) % 2.53/2.73 (define @t191 () (and @t114 @t22)) % 2.53/2.73 (define @t192 () (tptp.empty @t143)) % 2.53/2.73 (define @t193 () (tptp.in @t2 @t75)) % 2.53/2.73 (define @t194 () (tptp.disjoint @t98 @t2)) % 2.53/2.73 (define @t195 () (not @t5)) % 2.53/2.73 (define @t196 () (tptp.relation_dom @t2)) % 2.53/2.73 (define @t197 () (tptp.well_ordering @t2)) % 2.53/2.73 (define @t198 () (tptp.in (tptp.ordered_pair @t23 @t2) @t1)) % 2.53/2.73 (define @t199 () (tptp.singleton @t23)) % 2.53/2.73 (define @t200 () (not @t87)) % 2.53/2.73 (define @t201 () (tptp.singleton @t2)) % 2.53/2.73 (define @t202 () (tptp.union @t2)) % 2.53/2.73 (define @t203 () (tptp.in @t1 @t23)) % 2.53/2.73 (define @t204 () (tptp.element @t1 @t169)) % 2.53/2.73 (define @t205 () (tptp.relation_dom_restriction @t23 @t1)) % 2.53/2.73 (define @t206 () (tptp.in @t2 (tptp.relation_dom @t205))) % 2.53/2.73 (define @t207 () (tptp.one_to_one @t2)) % 2.53/2.73 (define @t208 () (tptp.set_difference @t2 @t23)) % 2.53/2.73 (define @t209 () (@var "K" $$unsorted)) % 2.53/2.73 (define @t210 () (@var "J" $$unsorted)) % 2.53/2.73 (define @t211 () (tptp.in @t209 @t210)) % 2.53/2.73 (define @t212 () (@list @t209)) % 2.53/2.73 (define @t213 () (@list @t210)) % 2.53/2.73 (define @t214 () (= @t45 @t57)) % 2.53/2.73 (define @t215 () (@var "I" $$unsorted)) % 2.53/2.73 (define @t216 () (@var "H" $$unsorted)) % 2.53/2.73 (define @t217 () (tptp.in @t215 @t216)) % 2.53/2.73 (define @t218 () (@list @t215)) % 2.53/2.73 (define @t219 () (@list @t216)) % 2.53/2.73 (define @t220 () (exists @t219 (and (= @t23 @t216) (tptp.in @t57 @t216) (forall @t218 (=> @t217 (tptp.in (tptp.ordered_pair @t57 @t215) @t2)))))) % 2.53/2.73 (define @t221 () (@var "G" $$unsorted)) % 2.53/2.73 (define @t222 () (@list @t221)) % 2.53/2.73 (define @t223 () (exists @t158 (and (= @t23 @t117) (tptp.in @t45 @t117) (forall @t222 (=> (tptp.in @t221 @t117) (tptp.in (tptp.ordered_pair @t45 @t221) @t2)))))) % 2.53/2.73 (define @t224 () (forall @t160 (=> (and @t47 @t223 @t47 @t220) @t214))) % 2.53/2.73 (define @t225 () (and @t114 @t53)) % 2.53/2.73 (define @t226 () (= @t45 @t201)) % 2.53/2.73 (define @t227 () (= @t23 @t201)) % 2.53/2.73 (define @t228 () (forall @t88 (=> (and @t3 @t227 @t3 @t226) @t46))) % 2.53/2.73 (define @t229 () (tptp.ordinal @t23)) % 2.53/2.73 (define @t230 () (tptp.apply @t23 @t117)) % 2.53/2.73 (define @t231 () (tptp.in @t117 @t1)) % 2.53/2.73 (define @t232 () (tptp.relation @t45)) % 2.53/2.73 (define @t233 () (and @t53 @t24 @t139)) % 2.53/2.73 (define @t234 () (forall @t212 (=> @t211 (tptp.in (tptp.ordered_pair @t45 @t209) @t2)))) % 2.53/2.73 (define @t235 () (tptp.in @t45 @t210)) % 2.53/2.73 (define @t236 () (@var "R" $$unsorted)) % 2.53/2.73 (define @t237 () (@var "P" $$unsorted)) % 2.53/2.73 (define @t238 () (@var "Q" $$unsorted)) % 2.53/2.73 (define @t239 () (@var "O" $$unsorted)) % 2.53/2.73 (define @t240 () (= @t117 @t57)) % 2.53/2.73 (define @t241 () (tptp.cartesian_product2 @t1 @t23)) % 2.53/2.73 (define @t242 () (= @t57 @t117)) % 2.53/2.73 (define @t243 () (@var "N" $$unsorted)) % 2.53/2.73 (define @t244 () (@var "L" $$unsorted)) % 2.53/2.73 (define @t245 () (@var "M" $$unsorted)) % 2.53/2.73 (define @t246 () (@list @t245)) % 2.53/2.73 (define @t247 () (tptp.ordered_pair @t209 @t244)) % 2.53/2.73 (define @t248 () (@list @t209 @t244)) % 2.53/2.73 (define @t249 () (= @t45 @t117)) % 2.53/2.73 (define @t250 () (tptp.in @t221 @t1)) % 2.53/2.73 (define @t251 () (tptp.ordered_pair @t221 @t216)) % 2.53/2.73 (define @t252 () (@list @t221 @t216)) % 2.53/2.73 (define @t253 () (@list @t45 @t57 @t117)) % 2.53/2.73 (define @t254 () (= @t57 @t45)) % 2.53/2.73 (define @t255 () (tptp.in @t216 @t1)) % 2.53/2.73 (define @t256 () (= @t23 @t57)) % 2.53/2.73 (define @t257 () (tptp.ordered_pair @t117 @t221)) % 2.53/2.73 (define @t258 () (@list @t117 @t221)) % 2.53/2.73 (define @t259 () (tptp.cartesian_product2 @t1 @t1)) % 2.53/2.73 (define @t260 () (tptp.apply @t23 @t221)) % 2.53/2.73 (define @t261 () (tptp.ordinal @t45)) % 2.53/2.73 (define @t262 () (tptp.succ @t2)) % 2.53/2.73 (define @t263 () (tptp.apply @t2 @t23)) % 2.53/2.73 (define @t264 () (= @t196 @t1)) % 2.53/2.73 (define @t265 () (exists @t13 (and @t53 @t186 @t264 (forall @t74 (=> @t47 (= @t263 @t199)))))) % 2.53/2.73 (define @t266 () (= @t1 @t23)) % 2.53/2.73 (define @t267 () (tptp.relation_rng @t73)) % 2.53/2.73 (define @t268 () (tptp.relation_rng @t2)) % 2.53/2.73 (define @t269 () (forall @t74 (not (and @t124 (not (tptp.are_equipotent @t23 @t2)) @t120)))) % 2.53/2.73 (define @t270 () (tptp.powerset @t23)) % 2.53/2.73 (define @t271 () (forall @t50 (=> (and @t100 (tptp.subset @t45 @t23)) @t60))) % 2.53/2.73 (define @t272 () (and @t55 @t29)) % 2.53/2.73 (define @t273 () (forall @t6 (=> @t272 @t16))) % 2.53/2.73 (define @t274 () (not @t273)) % 2.53/2.73 (define @t275 () (tptp.relation_dom_restriction @t23 @t2)) % 2.53/2.73 (define @t276 () (tptp.relation_image @t2 @t1)) % 2.53/2.73 (define @t277 () (tptp.relation_inverse_image @t2 @t1)) % 2.53/2.73 (define @t278 () (tptp.relation_image @t2 @t277)) % 2.53/2.73 (define @t279 () (tptp.set_intersection2 @t196 @t1)) % 2.53/2.73 (define @t280 () (tptp.subset @t1 @t268)) % 2.53/2.73 (define @t281 () (tptp.relation_of2_as_subset @t45 @t23 @t2)) % 2.53/2.73 (define @t282 () (tptp.relation_rng @t45)) % 2.53/2.73 (define @t283 () (tptp.relation_of2_as_subset @t45 @t23 @t1)) % 2.53/2.73 (define @t284 () (tptp.relation_rng @t159)) % 2.53/2.73 (define @t285 () (tptp.relation_inverse_image @t23 @t2)) % 2.53/2.73 (define @t286 () (tptp.relation_restriction @t23 @t2)) % 2.53/2.73 (define @t287 () (tptp.relation_restriction @t2 @t1)) % 2.53/2.73 (define @t288 () (tptp.relation_dom_restriction @t2 @t1)) % 2.53/2.73 (define @t289 () (tptp.relation_field @t23)) % 2.53/2.73 (define @t290 () (tptp.in @t1 @t289)) % 2.53/2.73 (define @t291 () (tptp.set_intersection2 @t2 @t23)) % 2.53/2.73 (define @t292 () (tptp.subset @t1 @t23)) % 2.53/2.73 (define @t293 () (tptp.element @t1 @t2)) % 2.53/2.73 (define @t294 () (tptp.subset @t2 @t23)) % 2.53/2.73 (define @t295 () (tptp.in @t1 @t136)) % 2.53/2.73 (define @t296 () (tptp.in @t146 @t23)) % 2.53/2.73 (define @t297 () (tptp.relation_field @t287)) % 2.53/2.73 (define @t298 () (tptp.apply @t23 @t1)) % 2.53/2.73 (define @t299 () (tptp.relation_composition @t23 @t2)) % 2.53/2.73 (define @t300 () (tptp.in @t1 (tptp.relation_dom @t299))) % 2.53/2.73 (define @t301 () (tptp.apply @t45 @t23)) % 2.53/2.73 (define @t302 () (tptp.function @t45)) % 2.53/2.73 (define @t303 () (and @t302 (tptp.quasi_total @t45 @t1 @t2) (tptp.relation_of2_as_subset @t45 @t1 @t2))) % 2.53/2.73 (define @t304 () (tptp.reflexive @t2)) % 2.53/2.73 (define @t305 () (tptp.connected @t2)) % 2.53/2.73 (define @t306 () (tptp.transitive @t2)) % 2.53/2.73 (define @t307 () (tptp.antisymmetric @t2)) % 2.53/2.73 (define @t308 () (tptp.well_ordering @t287)) % 2.53/2.73 (define @t309 () (= @t297 @t1)) % 2.53/2.73 (define @t310 () (tptp.well_orders @t2 @t1)) % 2.53/2.73 (define @t311 () (tptp.well_founded_relation @t2)) % 2.53/2.73 (define @t312 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 2.53/2.73 (define @t313 () (forall @t6 (= @t204 @t55))) % 2.53/2.73 (define @t314 () (and @t47 @t100)) % 2.53/2.73 (define @t315 () (not @t157)) % 2.53/2.73 (define @t316 () (= @t1 @t262)) % 2.53/2.73 (define @t317 () (tptp.subset_complement @t1 @t23)) % 2.53/2.73 (define @t318 () (tptp.disjoint @t2 @t23)) % 2.53/2.73 (define @t319 () (tptp.relation_dom @t159)) % 2.53/2.73 (define @t320 () (tptp.element @t2 @t270)) % 2.53/2.73 (define @t321 () (tptp.in @t23 @t42)) % 2.53/2.73 (define @t322 () (and (tptp.in @t23 @t143) (= @t45 @t263))) % 2.53/2.73 (define @t323 () (tptp.function_inverse @t2)) % 2.53/2.73 (define @t324 () (= @t143 tptp.empty_set)) % 2.53/2.73 (define @t325 () (= @t66 tptp.empty_set)) % 2.53/2.73 (define @t326 () (= (tptp.apply @t205 @t2) (tptp.apply @t23 @t2))) % 2.53/2.73 (define @t327 () (= @t98 (tptp.unordered_pair @t2 @t23))) % 2.53/2.73 (define @t328 () (@var "BOUND_VARIABLE_9888" $$unsorted)) % 2.53/2.73 (define @t329 () (tptp.finite @t328)) % 2.53/2.73 (define @t330 () (not (tptp.element @t328 @t30))) % 2.53/2.73 (define @t331 () (not @t16)) % 2.53/2.73 (define @t332 () (or @t331 @t330 @t329)) % 2.53/2.73 (define @t333 () (or @t330 @t329)) % 2.53/2.73 (define @t334 () (or @t331 @t333)) % 2.53/2.73 (define @t335 () (@list @t1 @t328)) % 2.53/2.73 (define @t336 () (forall @t335 @t334)) % 2.53/2.73 (define @t337 () (@list @t328)) % 2.53/2.73 (define @t338 () (forall @t337 @t334)) % 2.53/2.73 (define @t339 () (forall @t337 @t333)) % 2.53/2.73 (define @t340 () (or @t331 @t339)) % 2.53/2.73 (define @t341 () (forall @t13 (or (not @t31) @t29))) % 2.53/2.73 (define @t342 () (not @t29)) % 2.53/2.73 (define @t343 () (not @t55)) % 2.53/2.73 (define @t344 () (or @t343 @t342 @t16)) % 2.53/2.73 (define @t345 () (forall @t6 @t344)) % 2.53/2.73 (define @t346 () (@quantifiers_skolemize @t345 1)) % 2.53/2.73 (define @t347 () (@quantifiers_skolemize @t345 0)) % 2.53/2.73 (define @t348 () (tptp.subset @t347 @t346)) % 2.53/2.73 (define @t349 () (tptp.finite @t347)) % 2.53/2.73 (define @t350 () (tptp.finite @t346)) % 2.53/2.73 (define @t351 () (not @t350)) % 2.53/2.73 (define @t352 () (not @t348)) % 2.53/2.73 (define @t353 () (or @t352 @t351 @t349)) % 2.53/2.73 (define @t354 () (@list true)) % 2.53/2.73 (define @t355 () (@list @t353)) % 2.53/2.73 (define @t356 () (tptp.element @t347 (tptp.powerset @t346))) % 2.53/2.73 (define @t357 () (= @t348 @t356)) % 2.53/2.73 (define @t358 () (not @t356)) % 2.53/2.73 (define @t359 () (or @t351 @t358 @t349)) % 2.53/2.73 (define @t360 () (not @t359)) % 2.53/2.73 (define @t361 () (forall @t335 @t332)) % 2.53/2.73 (assume @p1 (forall @t6 (=> @t5 @t4))) % 2.53/2.73 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 2.53/2.73 (assume @p3 (forall @t15 (=> @t14 (forall @t13 (=> @t12 (and @t11 @t10 @t9)))))) % 2.53/2.73 (assume @p4 (forall @t15 (=> @t17 @t16))) % 2.53/2.73 (assume @p5 (forall @t15 (=> @t17 @t18))) % 2.53/2.73 (assume @p6 (forall @t15 (=> @t14 @t21))) % 2.53/2.73 (assume @p7 (forall @t15 (=> @t17 @t22))) % 2.53/2.73 (assume @p8 (forall @t27 (=> @t26 @t24))) % 2.53/2.73 (assume @p9 (forall @t15 (=> (and @t17 @t14) (and @t20 @t19 @t14 @t28)))) % 2.53/2.73 (assume @p10 @t34) % 2.53/2.73 (assume @p11 (forall @t15 (=> @t37 @t36))) % 2.53/2.73 (assume @p12 (forall @t15 (=> @t21 @t14))) % 2.53/2.73 (assume @p13 (forall @t15 (=> @t17 @t38))) % 2.53/2.73 (assume @p14 (forall @t6 (= @t39 (tptp.unordered_pair @t2 @t1)))) % 2.53/2.73 (assume @p15 (forall @t6 (= @t41 @t40))) % 2.53/2.73 (assume @p16 (forall @t6 (= @t42 (tptp.set_intersection2 @t2 @t1)))) % 2.53/2.73 (assume @p17 (forall @t6 (=> @t44 (or @t43 (tptp.ordinal_subset @t2 @t1))))) % 2.53/2.73 (assume @p18 (forall @t6 (=> @t53 (= @t52 (forall @t50 (= @t49 (and @t47 @t46))))))) % 2.53/2.73 (assume @p19 (forall @t6 (= @t56 (and @t55 @t54)))) % 2.53/2.73 (assume @p20 (forall @t15 (=> @t22 (forall @t64 (=> @t24 (= (= @t23 @t63) (forall @t62 (= @t61 (and @t60 @t59))))))))) % 2.53/2.73 (assume @p21 (forall @t15 (=> @t71 (forall @t64 (= @t70 (forall @t69 (= @t68 (exists @t67 (and (tptp.in @t57 @t66) @t65 (= @t45 (tptp.apply @t1 @t57))))))))))) % 2.53/2.73 (assume @p22 (forall @t6 (=> @t53 (forall @t74 (=> @t24 (= (= @t23 @t73) (forall @t62 (= @t61 (and @t72 (tptp.in @t58 @t2)))))))))) % 2.53/2.73 (assume @p23 (forall @t15 (=> @t22 (= @t76 (tptp.is_antisymmetric_in @t1 @t75))))) % 2.53/2.73 (assume @p24 (forall @t15 (=> @t71 (forall @t64 (= @t79 (forall @t69 (= @t68 (and @t78 (tptp.in @t77 @t2))))))))) % 2.53/2.73 (assume @p25 (forall @t15 (=> @t22 (forall @t64 (= @t70 (forall @t69 (= @t68 (exists @t67 (and (tptp.in @t80 @t1) @t65))))))))) % 2.53/2.73 (assume @p26 (forall @t15 (=> @t22 (forall @t64 (= @t79 (forall @t69 (= @t68 (exists @t67 (and @t59 @t65))))))))) % 2.53/2.73 (assume @p27 (forall @t15 (=> @t22 (= @t81 (tptp.is_connected_in @t1 @t75))))) % 2.53/2.73 (assume @p28 (forall @t15 (=> @t22 (= @t82 (tptp.is_transitive_in @t1 @t75))))) % 2.53/2.73 (assume @p29 (forall @t84 (= (= @t45 (tptp.unordered_triple @t1 @t2 @t23)) (forall @t67 (= @t83 (not (and (not (= @t57 @t1)) (not (= @t57 @t2)) (not (= @t57 @t23))))))))) % 2.53/2.73 (assume @p30 (forall @t15 (= @t18 (forall @t88 (=> (and @t87 @t85) @t46))))) % 2.53/2.73 (assume @p31 (forall @t27 (=> @t94 (and (=> (=> @t92 @t91) (= @t90 (= @t1 @t93))) (=> @t92 (or @t91 (= @t90 @t89))))))) % 2.53/2.73 (assume @p32 (forall @t15 (=> @t97 (forall @t13 (= (= @t2 (tptp.pair_first @t1)) (forall @t50 (=> @t96 @t95))))))) % 2.53/2.73 (assume @p33 (forall @t15 (= @t99 (tptp.set_union2 @t1 @t98)))) % 2.53/2.73 (assume @p34 (forall @t15 (= @t22 (forall @t13 (not (and @t3 (forall @t50 (not (= @t2 @t48))))))))) % 2.53/2.73 (assume @p35 (forall @t15 (=> @t22 (forall @t13 (= @t101 (forall @t74 (=> @t100 (tptp.in (tptp.ordered_pair @t23 @t23) @t1)))))))) % 2.53/2.73 (assume @p36 (forall @t27 (= @t102 (tptp.subset @t23 @t25)))) % 2.53/2.73 (assume @p37 (forall @t6 (and (=> @t106 (= @t103 (forall @t74 (= @t100 (forall @t69 (=> @t105 @t104)))))) (=> @t91 (= @t103 @t92))))) % 2.53/2.73 (assume @p38 (forall @t6 (= (= @t2 @t98) (forall @t74 (= @t100 (= @t23 @t1)))))) % 2.53/2.73 (assume @p39 (forall @t15 (=> @t22 (forall @t64 (= (= @t23 (tptp.fiber @t1 @t2)) (forall @t69 (= @t68 (and (not @t107) (tptp.in (tptp.ordered_pair @t45 @t2) @t1))))))))) % 2.53/2.73 (assume @p40 (forall @t6 (=> @t53 (= (= @t2 @t110) (and (= @t109 @t1) (forall @t50 (=> (and @t47 @t105) (= @t49 @t108)))))))) % 2.53/2.73 (assume @p41 (forall @t15 (= @t91 (forall @t13 @t4)))) % 2.53/2.73 (assume @p42 (forall @t6 (= (= @t2 @t30) (forall @t74 (= @t100 (tptp.subset @t23 @t1)))))) % 2.53/2.73 (assume @p43 (forall @t15 (=> @t97 (forall @t13 (= (= @t2 (tptp.pair_second @t1)) (forall @t50 (=> @t96 @t111))))))) % 2.53/2.73 (assume @p44 (forall @t15 (= @t20 (forall @t13 (=> @t3 @t54))))) % 2.53/2.73 (assume @p45 (forall @t15 (=> @t22 (forall @t13 (=> @t53 (= @t56 (forall @t50 (= @t112 @t49)))))))) % 2.53/2.73 (assume @p46 (forall @t6 (and (=> @t114 (= @t12 @t3)) (=> @t17 (= @t12 @t113))))) % 2.53/2.73 (assume @p47 (forall @t27 (= (= @t23 @t39) (forall @t69 (= @t68 (or (= @t45 @t1) @t107)))))) % 2.53/2.73 (assume @p48 (forall @t15 (=> @t22 (= @t116 (forall @t13 (not (and (tptp.subset @t2 @t75) @t115 (forall @t74 (not (and @t100 (tptp.disjoint (tptp.fiber @t1 @t23) @t2))))))))))) % 2.53/2.73 (assume @p49 (forall @t27 (= (= @t23 @t41) (forall @t69 (= @t68 (or @t105 @t60)))))) % 2.53/2.73 (assume @p50 (forall @t27 (= (= @t23 @t25) (forall @t69 (= @t68 (exists @t119 (and @t72 (tptp.in @t117 @t2) (= @t45 @t118)))))))) % 2.53/2.73 (assume @p51 (forall @t15 (= @t19 (forall @t64 (not (and @t3 @t47 (not @t122) @t121 @t120)))))) % 2.53/2.73 (assume @p52 (forall @t15 (=> @t22 (forall @t13 (=> @t53 (= @t55 (forall @t50 (=> @t112 @t49)))))))) % 2.53/2.73 (assume @p53 (forall @t6 (= @t55 @t123))) % 2.53/2.73 (assume @p54 (forall @t15 (=> @t22 (forall @t13 (= @t125 (forall @t74 (not (and @t124 (not @t89) (forall @t69 (not (and @t68 (tptp.disjoint (tptp.fiber @t1 @t45) @t23)))))))))))) % 2.53/2.73 (assume @p55 (forall @t27 (= (= @t23 @t42) (forall @t69 (= @t68 (and @t105 @t60)))))) % 2.53/2.73 (assume @p56 (forall @t15 (=> @t71 (forall @t64 (and (=> @t128 (= @t127 @t87)) (=> (not @t128) (= @t127 @t89))))))) % 2.53/2.73 (assume @p57 (forall @t15 (= @t14 @t21))) % 2.53/2.73 (assume @p58 (forall @t15 (=> @t22 (forall @t13 (= (= @t2 @t66) (forall @t74 (= @t100 (exists @t69 @t112)))))))) % 2.53/2.73 (assume @p59 (forall @t15 (=> @t22 (forall @t13 (= @t130 (forall @t50 (=> (and @t100 @t60 @t112 @t129) @t46))))))) % 2.53/2.73 (assume @p60 (forall @t15 (= @t131 @t1))) % 2.53/2.73 (assume @p61 (forall @t6 (= (= @t2 @t132) (forall @t74 (= @t100 (exists @t69 (and @t104 @t105))))))) % 2.53/2.73 (assume @p62 (forall @t15 (=> @t22 (= @t134 (and @t133 @t82 @t76 @t81 @t116))))) % 2.53/2.73 (assume @p63 (forall @t6 (= @t140 (exists @t74 (and @t24 @t139 @t138 @t137 (= @t135 @t2)))))) % 2.53/2.73 (assume @p64 (forall @t27 (= (= @t23 @t141) (forall @t69 (= @t68 (and @t105 (not @t60))))))) % 2.53/2.73 (assume @p65 (forall @t15 (=> @t71 (forall @t13 (= @t144 (forall @t74 (= @t100 (exists @t69 @t142)))))))) % 2.53/2.73 (assume @p66 (forall @t15 (=> @t22 (forall @t13 (= @t144 (forall @t74 (= @t100 (exists @t69 @t129)))))))) % 2.53/2.73 (assume @p67 (forall @t6 (=> @t31 (= @t145 @t141)))) % 2.53/2.73 (assume @p68 (forall @t6 (= @t146 (tptp.unordered_pair @t39 @t98)))) % 2.53/2.73 (assume @p69 (forall @t15 (=> @t22 (forall @t13 (= (tptp.well_orders @t1 @t2) (and @t101 @t148 @t130 @t147 @t125)))))) % 2.53/2.73 (assume @p70 (forall @t15 (= @t149 (= @t1 @t132)))) % 2.53/2.73 (assume @p71 (forall @t15 (=> @t22 (= @t75 (tptp.set_union2 @t66 @t143))))) % 2.53/2.73 (assume @p72 (forall @t15 (=> @t22 (forall @t13 (= @t147 (forall @t50 (not (and @t100 @t60 (not @t46) (not @t112) (not @t129))))))))) % 2.53/2.73 (assume @p73 (forall @t15 (=> @t22 (forall @t13 (= @t151 (tptp.set_intersection2 @t1 @t150)))))) % 2.53/2.73 (assume @p74 (forall @t15 (=> @t22 (forall @t13 (=> @t53 (= (= @t2 @t152) (forall @t50 (= @t49 @t129)))))))) % 2.53/2.73 (assume @p75 (forall @t15 (=> @t22 (forall @t13 (=> @t53 (forall @t74 (=> @t156 (= @t155 (and (= @t136 @t75) (= @t135 @t109) @t138 (forall @t62 (= @t59 (and (tptp.in @t45 @t75) (tptp.in @t57 @t75) (tptp.in (tptp.ordered_pair @t154 @t153) @t2))))))))))))) % 2.53/2.73 (assume @p76 (forall @t6 (= @t157 (= @t42 tptp.empty_set)))) % 2.53/2.73 (assume @p77 (forall @t15 (=> @t71 (= @t35 (forall @t64 (=> (and @t128 (tptp.in @t23 @t66) (= @t126 (tptp.apply @t1 @t23))) @t95)))))) % 2.53/2.73 (assume @p78 (forall @t15 (=> @t22 (forall @t13 (=> @t53 (forall @t74 (=> @t24 (= (= @t23 @t159) (forall @t62 (= @t61 (exists @t158 (and (tptp.in (tptp.ordered_pair @t45 @t117) @t1) (tptp.in (tptp.ordered_pair @t117 @t57) @t2))))))))))))) % 2.53/2.73 (assume @p79 (forall @t15 (=> @t22 (forall @t13 (= @t148 (forall @t160 (=> (and @t100 @t60 @t65 @t112 @t59) (tptp.in (tptp.ordered_pair @t23 @t57) @t1)))))))) % 2.53/2.73 (assume @p80 (forall @t6 (=> @t163 (forall @t74 (=> (tptp.element @t23 @t162) (= (= @t23 @t161) (forall @t69 (=> (tptp.element @t45 @t30) (= @t68 (tptp.in (tptp.subset_complement @t1 @t45) @t2)))))))))) % 2.53/2.73 (assume @p81 (forall @t6 (= @t8 (and @t55 @t164)))) % 2.53/2.73 (assume @p82 (forall @t15 (=> @t71 (=> @t35 (= @t165 @t152))))) % 2.53/2.73 (assume @p83 (forall @t15 (=> @t22 (= @t133 (tptp.is_reflexive_in @t1 @t75))))) % 2.53/2.73 (assume @p84 true) % 2.53/2.73 (assume @p85 (forall @t15 (tptp.relation @t110))) % 2.53/2.73 (assume @p86 (forall @t15 (=> @t71 (and (tptp.relation @t165) (tptp.function @t165))))) % 2.53/2.73 (assume @p87 (forall @t15 (tptp.element @t131 @t30))) % 2.53/2.73 (assume @p88 (forall @t6 (=> @t22 (tptp.relation @t151)))) % 2.53/2.73 (assume @p89 (forall @t6 (=> @t31 (tptp.element @t145 @t30)))) % 2.53/2.73 (assume @p90 (forall @t15 (=> @t22 @t166))) % 2.53/2.73 (assume @p91 (forall @t27 (=> @t102 (tptp.element @t93 @t30)))) % 2.53/2.73 (assume @p92 (forall @t6 (=> @t168 @t167))) % 2.53/2.73 (assume @p93 (forall @t27 (=> @t102 (tptp.element @t170 @t169)))) % 2.53/2.73 (assume @p94 (forall @t6 (=> @t163 (tptp.element @t171 @t30)))) % 2.53/2.73 (assume @p95 (forall @t15 @t172)) % 2.53/2.73 (assume @p96 (forall @t6 (=> @t163 (tptp.element @t173 @t30)))) % 2.53/2.73 (assume @p97 (forall @t27 (=> @t176 (tptp.element @t174 @t30)))) % 2.53/2.73 (assume @p98 (forall @t6 (=> @t22 @t177))) % 2.53/2.73 (assume @p99 (forall @t6 (=> @t163 (tptp.element @t161 @t162)))) % 2.53/2.73 (assume @p100 (forall @t6 (=> @t53 @t178))) % 2.53/2.73 (assume @p101 (forall @t27 (=> @t94 @t26))) % 2.53/2.73 (assume @p102 (forall @t6 (exists @t74 @t102))) % 2.53/2.73 (assume @p103 (forall @t15 (exists @t13 @t12))) % 2.53/2.73 (assume @p104 (forall @t6 (exists @t74 @t94))) % 2.53/2.73 (assume @p105 (forall @t6 (=> @t180 (and (tptp.empty @t179) (tptp.relation @t179))))) % 2.53/2.73 (assume @p106 (forall @t15 (=> @t17 (and (tptp.empty @t152) @t166)))) % 2.53/2.73 (assume @p107 (and @t183 @t182 @t181)) % 2.53/2.73 (assume @p108 (forall @t6 (=> @t185 (and @t177 (tptp.relation_empty_yielding @t63))))) % 2.53/2.73 (assume @p109 (forall @t6 (=> (and @t22 @t18 @t53 @t186) (and @t167 (tptp.function @t159))))) % 2.53/2.73 (assume @p110 (forall @t15 @t187)) % 2.53/2.73 (assume @p111 (forall @t6 (=> @t168 (tptp.relation @t42)))) % 2.53/2.73 (assume @p112 (forall @t15 (not (tptp.empty @t30)))) % 2.53/2.73 (assume @p113 @t183) % 2.53/2.73 (assume @p114 (forall @t6 (not (tptp.empty @t146)))) % 2.53/2.73 (assume @p115 (forall @t15 (and @t172 (tptp.function @t51)))) % 2.53/2.73 (assume @p116 (and @t182 @t181 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t183 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 2.53/2.73 (assume @p117 (forall @t6 (=> @t168 (tptp.relation @t41)))) % 2.53/2.73 (assume @p118 (forall @t15 (not (tptp.empty @t98)))) % 2.53/2.73 (assume @p119 (forall @t6 (=> @t114 (not (tptp.empty @t41))))) % 2.53/2.73 (assume @p120 (forall @t15 (=> @t36 (and @t166 (tptp.function @t152))))) % 2.53/2.73 (assume @p121 (forall @t15 (=> @t14 (and @t187 (tptp.epsilon_transitive @t99) (tptp.epsilon_connected @t99) (tptp.ordinal @t99))))) % 2.53/2.73 (assume @p122 (forall @t6 (=> @t168 (tptp.relation @t141)))) % 2.53/2.73 (assume @p123 (forall @t6 (not (tptp.empty @t39)))) % 2.53/2.73 (assume @p124 (forall @t6 (=> @t114 (not (tptp.empty @t40))))) % 2.53/2.73 (assume @p125 (forall @t6 (=> @t71 (and @t177 (tptp.function @t63))))) % 2.53/2.73 (assume @p126 (forall @t15 (=> @t14 (and (tptp.epsilon_transitive @t132) (tptp.epsilon_connected @t132) (tptp.ordinal @t132))))) % 2.53/2.73 (assume @p127 (and @t183 @t182)) % 2.53/2.73 (assume @p128 (forall @t6 (=> (and @t114 @t188) (not (tptp.empty @t25))))) % 2.53/2.73 (assume @p129 (forall @t6 (=> @t189 (and @t178 (tptp.function @t73))))) % 2.53/2.73 (assume @p130 (forall @t15 (=> @t191 (not @t190)))) % 2.53/2.73 (assume @p131 (forall @t15 (=> @t191 (not @t192)))) % 2.53/2.73 (assume @p132 (forall @t15 (=> @t17 (and @t190 (tptp.relation @t66))))) % 2.53/2.73 (assume @p133 (forall @t15 (=> @t17 (and @t192 (tptp.relation @t143))))) % 2.53/2.73 (assume @p134 (forall @t6 (=> @t180 (and (tptp.empty @t159) @t167)))) % 2.53/2.73 (assume @p135 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 2.53/2.73 (assume @p136 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 2.53/2.73 (assume @p137 (forall @t6 (=> @t31 (= (tptp.subset_complement @t1 @t145) @t2)))) % 2.53/2.73 (assume @p138 (forall @t15 (=> @t22 (= (tptp.relation_inverse @t152) @t1)))) % 2.53/2.73 (assume @p139 (forall @t6 (=> @t163 (= (tptp.complements_of_subsets @t1 @t161) @t2)))) % 2.53/2.73 (assume @p140 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 2.53/2.73 (assume @p141 (forall @t15 (=> @t22 (= @t133 (forall @t13 (=> @t193 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 2.53/2.73 (assume @p142 (forall @t15 (not (= @t98 tptp.empty_set)))) % 2.53/2.73 (assume @p143 (forall @t6 (=> @t5 (= (tptp.set_union2 @t98 @t2) @t2)))) % 2.53/2.73 (assume @p144 (forall @t6 (not (and @t194 @t5)))) % 2.53/2.73 (assume @p145 (forall @t6 (=> @t195 @t194))) % 2.53/2.73 (assume @p146 (forall @t6 (=> @t53 (tptp.subset (tptp.relation_dom @t73) @t196)))) % 2.53/2.73 (assume @p147 (forall @t15 (=> @t22 (= @t82 (forall @t88 (=> (and @t87 @t112) @t85)))))) % 2.53/2.73 (assume @p148 (forall @t6 (= (tptp.subset @t98 @t2) @t5))) % 2.53/2.73 (assume @p149 (forall @t6 (=> @t53 (not (and @t197 (tptp.equipotent @t1 @t109) (forall @t74 (=> @t24 (not (tptp.well_orders @t23 @t1))))))))) % 2.53/2.73 (assume @p150 (forall @t6 (= (= @t141 tptp.empty_set) @t55))) % 2.53/2.73 (assume @p151 (forall @t6 (=> @t31 (forall @t74 (=> @t100 @t47))))) % 2.53/2.73 (assume @p152 (forall @t15 (=> @t22 (= @t76 (forall @t64 (=> (and @t87 @t198) @t95)))))) % 2.53/2.73 (assume @p153 (forall @t27 (=> @t55 (or @t47 (tptp.subset @t1 (tptp.set_difference @t2 @t199)))))) % 2.53/2.73 (assume @p154 (forall @t15 (=> @t22 (= @t81 (forall @t64 (not (and @t193 (tptp.in @t23 @t75) @t121 @t200 (not @t198)))))))) % 2.53/2.73 (assume @p155 (forall @t6 (= (tptp.subset @t1 @t201) (or @t91 (= @t1 @t201))))) % 2.53/2.73 (assume @p156 (forall @t6 (=> @t5 (tptp.subset @t1 @t202)))) % 2.53/2.73 (assume @p157 (forall @t84 (= (tptp.in @t146 (tptp.cartesian_product2 @t23 @t45)) (and @t203 (tptp.in @t2 @t45))))) % 2.53/2.73 (assume @p158 (forall @t6 (=> @t123 @t204))) % 2.53/2.73 (assume @p159 (forall @t27 (=> @t156 (= @t206 (and (tptp.in @t2 @t136) @t3))))) % 2.53/2.73 (assume @p160 (exists @t15 (and @t114 @t20 @t19 @t14 @t28))) % 2.53/2.73 (assume @p161 (exists @t15 (and @t114 @t16))) % 2.53/2.73 (assume @p162 (exists @t15 @t71)) % 2.53/2.73 (assume @p163 (forall @t6 (exists @t74 (and @t102 @t24 @t139 @t90)))) % 2.53/2.73 (assume @p164 (exists @t15 @t38)) % 2.53/2.73 (assume @p165 (exists @t15 (and @t22 @t18 @t35 @t17))) % 2.53/2.73 (assume @p166 (exists @t15 (and @t17 @t22))) % 2.53/2.73 (assume @p167 (forall @t15 (=> @t114 (exists @t13 (and @t31 @t188))))) % 2.53/2.73 (assume @p168 (exists @t15 @t17)) % 2.53/2.73 (assume @p169 (forall @t15 (exists @t13 (and @t31 @t113 @t53 @t186 @t207 @t11 @t10 @t9 (tptp.natural @t2) @t29)))) % 2.53/2.73 (assume @p170 (exists @t15 @t37)) % 2.53/2.73 (assume @p171 (exists @t15 (and @t22 @t18 @t35 @t17 @t20 @t19 @t14))) % 2.53/2.73 (assume @p172 (forall @t6 (exists @t74 (and @t102 @t24 @t139)))) % 2.53/2.73 (assume @p173 (exists @t15 @t191)) % 2.53/2.73 (assume @p174 (forall @t15 (exists @t13 (and @t31 @t113)))) % 2.53/2.73 (assume @p175 (exists @t15 @t114)) % 2.53/2.73 (assume @p176 (forall @t15 (=> @t114 (exists @t13 (and @t31 @t188 @t29))))) % 2.53/2.73 (assume @p177 (exists @t15 @t36)) % 2.53/2.73 (assume @p178 (exists @t15 (and @t114 @t20 @t19 @t14))) % 2.53/2.73 (assume @p179 (exists @t15 @t185)) % 2.53/2.73 (assume @p180 (exists @t15 (and @t22 @t184 @t18))) % 2.53/2.73 (assume @p181 (forall @t27 (=> @t102 (= @t93 @t136)))) % 2.53/2.73 (assume @p182 (forall @t27 (=> @t102 (= @t170 @t135)))) % 2.53/2.73 (assume @p183 (forall @t6 (=> @t163 (= @t171 @t202)))) % 2.53/2.73 (assume @p184 (forall @t6 (=> @t163 (= @t173 (tptp.set_meet @t2))))) % 2.53/2.73 (assume @p185 (forall @t27 (=> @t176 (= @t174 @t208)))) % 2.53/2.73 (assume @p186 (forall @t27 (= @t94 @t102))) % 2.53/2.73 (assume @p187 (forall @t6 (=> @t44 (= @t43 @t55)))) % 2.53/2.73 (assume @p188 (forall @t6 (= @t140 (tptp.are_equipotent @t1 @t2)))) % 2.53/2.73 (assume @p189 (forall @t6 (=> @t44 (tptp.ordinal_subset @t1 @t1)))) % 2.53/2.73 (assume @p190 (forall @t6 (tptp.subset @t1 @t1))) % 2.53/2.73 (assume @p191 (forall @t6 (tptp.equipotent @t1 @t1))) % 2.53/2.73 (assume @p192 (forall @t6 (=> @t225 (=> @t224 (exists @t74 (and @t24 @t139 (forall @t62 (= @t61 (and @t105 @t105 (exists @t213 (and (= @t45 @t210) (tptp.in @t57 @t210) (forall @t212 (=> @t211 (tptp.in (tptp.ordered_pair @t57 @t209) @t2)))))))))))))) % 2.53/2.73 (assume @p193 (forall @t15 (=> @t228 (exists @t13 (and @t53 @t186 (forall @t50 (= @t49 (and @t47 @t47 (= @t45 @t199))))))))) % 2.53/2.73 (assume @p194 (forall @t15 (=> (exists @t13 (and @t9 @t3)) (exists @t13 (and @t9 @t3 (forall @t74 (=> @t229 (=> @t47 (tptp.ordinal_subset @t2 @t23))))))))) % 2.53/2.73 (assume @p195 (forall @t27 (=> @t233 (exists @t69 (and @t232 (forall @t119 (= (tptp.in @t118 @t45) (and @t72 @t231 (tptp.in (tptp.ordered_pair @t153 @t230) @t2))))))))) % 2.53/2.73 (assume @p196 (forall @t6 (=> @t225 (=> @t224 (exists @t74 (forall @t69 (= @t68 (exists @t67 (and @t72 @t72 (exists @t213 (and (= @t57 @t210) @t235 @t234))))))))))) % 2.53/2.73 (assume @p197 (forall @t6 (=> @t225 (forall @t74 (=> (forall @t253 (=> (and @t214 (exists @t252 (and (= @t251 @t57) @t250 (exists @t218 (and (= @t221 @t215) (tptp.in @t216 @t215) (forall @t213 (=> (tptp.in @t210 @t215) (tptp.in (tptp.ordered_pair @t216 @t210) @t2))))))) @t249 (exists @t248 (and (= @t247 @t117) (tptp.in @t209 @t1) (exists @t246 (and (= @t209 @t245) (tptp.in @t244 @t245) (forall (@list @t243) (=> (tptp.in @t243 @t245) (tptp.in (tptp.ordered_pair @t244 @t243) @t2)))))))) @t242)) (exists @t69 (forall @t67 (= @t83 (exists @t158 (and (tptp.in @t117 @t241) @t240 (exists (@list @t239 @t237) (and (= (tptp.ordered_pair @t239 @t237) @t57) (tptp.in @t239 @t1) (exists (@list @t238) (and (= @t239 @t238) (tptp.in @t237 @t238) (forall (@list @t236) (=> (tptp.in @t236 @t238) (tptp.in (tptp.ordered_pair @t237 @t236) @t2))))))))))))))))) % 2.53/2.73 (assume @p198 (forall @t15 (=> @t228 (exists @t13 (forall @t74 (= @t100 (exists @t69 (and @t105 @t105 (= @t23 (tptp.singleton @t45)))))))))) % 2.53/2.73 (assume @p199 (forall @t6 (=> (forall @t160 (=> (and @t46 (exists @t258 (and (= @t257 @t45) @t231 (= @t221 (tptp.singleton @t117)))) @t256 (exists (@list @t216 @t215) (and (= (tptp.ordered_pair @t216 @t215) @t57) @t255 (= @t215 (tptp.singleton @t216))))) @t214)) (exists @t74 (forall @t69 (= @t68 (exists @t67 (and (tptp.in @t57 @t25) @t254 (exists (@list @t210 @t209) (and (= (tptp.ordered_pair @t210 @t209) @t45) (tptp.in @t210 @t1) (= @t209 (tptp.singleton @t210)))))))))))) % 2.53/2.73 (assume @p200 (forall @t27 (=> @t233 (=> (forall @t253 (=> (and @t214 (exists @t252 (and (= @t57 @t251) (tptp.in (tptp.ordered_pair @t260 (tptp.apply @t23 @t216)) @t2))) @t249 (exists (@list @t215 @t210) (and (= @t117 (tptp.ordered_pair @t215 @t210)) (tptp.in (tptp.ordered_pair (tptp.apply @t23 @t215) (tptp.apply @t23 @t210)) @t2)))) @t242)) (exists @t69 (forall @t67 (= @t83 (exists @t158 (and (tptp.in @t117 @t259) @t240 (exists @t248 (and (= @t57 @t247) (tptp.in (tptp.ordered_pair (tptp.apply @t23 @t209) (tptp.apply @t23 @t244)) @t2)))))))))))) % 2.53/2.73 (assume @p201 (forall @t15 (=> (forall @t88 (=> (and @t95 @t229 @t111 @t261) @t46)) (exists @t13 (forall @t74 (= @t100 (exists @t69 (and @t105 (= @t45 @t23) @t229)))))))) % 2.53/2.73 (assume @p202 (forall @t6 (=> @t9 (=> (forall @t160 (=> (and @t46 (exists @t158 (and (tptp.ordinal @t117) @t249 @t231)) @t256 (exists @t222 (and (tptp.ordinal @t221) (= @t57 @t221) @t250))) @t214)) (exists @t74 (forall @t69 (= @t68 (exists @t67 (and (tptp.in @t57 @t262) @t254 (exists @t219 (and (tptp.ordinal @t216) (= @t45 @t216) @t255))))))))))) % 2.53/2.73 (assume @p203 (forall @t6 (=> @t225 (forall @t74 (exists @t69 (forall @t67 (= @t83 (and (tptp.in @t57 @t241) (exists @t258 (and (= @t257 @t57) @t231 (exists @t219 (and (= @t117 @t216) (tptp.in @t221 @t216) (forall @t218 (=> @t217 (tptp.in (tptp.ordered_pair @t221 @t215) @t2))))))))))))))) % 2.53/2.73 (assume @p204 (forall @t6 (exists @t74 (forall @t69 (= @t68 (and (tptp.in @t45 @t25) (exists @t119 (and (= @t118 @t45) @t72 (= @t117 (tptp.singleton @t57)))))))))) % 2.53/2.73 (assume @p205 (forall @t27 (=> @t233 (exists @t69 (forall @t67 (= @t83 (and (tptp.in @t57 @t259) (exists @t258 (and (= @t57 @t257) (tptp.in (tptp.ordered_pair @t230 @t260) @t2)))))))))) % 2.53/2.73 (assume @p206 (forall @t15 (exists @t13 (forall @t74 (= @t100 (and @t47 @t229)))))) % 2.53/2.73 (assume @p207 (forall @t6 (=> @t9 (exists @t74 (forall @t69 (= @t68 (and (tptp.in @t45 @t262) (exists @t67 (and (tptp.ordinal @t57) @t214 @t72))))))))) % 2.53/2.73 (assume @p208 (forall @t6 (=> @t225 (=> (and (forall @t160 (=> (and @t47 @t223 @t220) @t214)) (forall @t74 (not (and @t47 (forall @t69 (not (exists @t213 (and (= @t23 @t210) @t235 @t234)))))))) (exists @t74 (and @t24 @t139 @t137 (forall @t69 (=> @t105 (exists (@list @t244) (and (= @t45 @t244) (tptp.in @t154 @t244) (forall @t246 (=> (tptp.in @t245 @t244) (tptp.in (tptp.ordered_pair @t154 @t245) @t2))))))))))))) % 2.53/2.73 (assume @p209 (forall @t15 (=> (and (forall @t88 (=> (and @t3 @t227 @t226) @t46)) (forall @t13 (not (and @t3 (forall @t74 (not @t227)))))) @t265))) % 2.53/2.73 (assume @p210 (forall @t15 @t265)) % 2.53/2.73 (assume @p211 (forall @t6 (=> @t157 (tptp.disjoint @t2 @t1)))) % 2.53/2.73 (assume @p212 (forall @t6 (=> @t140 (tptp.equipotent @t2 @t1)))) % 2.53/2.73 (assume @p213 (forall @t15 (tptp.in @t1 @t99))) % 2.53/2.73 (assume @p214 (forall @t84 (not (and (= @t39 (tptp.unordered_pair @t23 @t45)) (not @t266) (not (= @t1 @t45)))))) % 2.53/2.73 (assume @p215 (forall @t27 (=> @t24 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t23))) (and @t5 (tptp.in @t1 @t135)))))) % 2.53/2.73 (assume @p216 (forall @t6 (=> @t53 (tptp.subset @t267 @t1)))) % 2.53/2.73 (assume @p217 (forall @t6 (=> @t53 (tptp.subset @t73 @t2)))) % 2.53/2.73 (assume @p218 (forall @t6 (=> @t53 (tptp.subset @t267 @t268)))) % 2.53/2.73 (assume @p219 (forall @t27 (=> @t55 (and (tptp.subset @t241 (tptp.cartesian_product2 @t2 @t23)) (tptp.subset (tptp.cartesian_product2 @t23 @t1) (tptp.cartesian_product2 @t23 @t2)))))) % 2.53/2.73 (assume @p220 (forall @t6 (=> @t53 (= @t267 (tptp.set_intersection2 @t268 @t1))))) % 2.53/2.73 (assume @p221 (forall @t84 (=> (and @t55 @t108) (tptp.subset @t241 (tptp.cartesian_product2 @t2 @t45))))) % 2.53/2.73 (assume @p222 (forall @t27 (=> @t94 (and (tptp.subset @t136 @t1) (tptp.subset @t135 @t2))))) % 2.53/2.73 (assume @p223 (forall @t6 (=> @t55 (= @t41 @t2)))) % 2.53/2.73 (assume @p224 (forall @t15 (exists @t13 (and @t5 @t271 (forall @t74 (=> @t100 (tptp.in @t270 @t2))) @t269)))) % 2.53/2.73 (assume @p225 @t274) % 2.53/2.73 (assume @p226 (forall @t27 (=> @t24 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t23) @t2) (tptp.relation_rng_restriction @t1 @t275))))) % 2.53/2.73 (assume @p227 (forall @t27 (=> @t24 (= (tptp.in @t1 (tptp.relation_image @t23 @t2)) (exists @t69 (and (tptp.in @t45 @t136) (tptp.in (tptp.ordered_pair @t45 @t1) @t23) @t60)))))) % 2.53/2.73 (assume @p228 (forall @t6 (=> @t53 (tptp.subset @t276 @t268)))) % 2.53/2.73 (assume @p229 (forall @t6 (=> @t189 (tptp.subset @t278 @t1)))) % 2.53/2.73 (assume @p230 (forall @t6 (=> @t53 (= @t276 (tptp.relation_image @t2 @t279))))) % 2.53/2.73 (assume @p231 (forall @t6 (=> @t53 (=> (tptp.subset @t1 @t196) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t276)))))) % 2.53/2.73 (assume @p232 (forall @t15 (=> @t22 (= (tptp.relation_image @t1 @t66) @t143)))) % 2.53/2.73 (assume @p233 (forall @t6 (=> @t189 (=> @t280 (= @t278 @t1))))) % 2.53/2.73 (assume @p234 (forall @t84 (=> @t283 (=> (tptp.subset @t282 @t2) @t281)))) % 2.53/2.73 (assume @p235 (forall @t15 (=> @t22 (forall @t13 (=> @t53 (= @t284 (tptp.relation_image @t2 @t143))))))) % 2.53/2.73 (assume @p236 (forall @t27 (=> @t24 (= (tptp.in @t1 @t285) (exists @t69 (and (tptp.in @t45 @t135) (tptp.in (tptp.ordered_pair @t1 @t45) @t23) @t60)))))) % 2.53/2.73 (assume @p237 (forall @t6 (=> @t53 (tptp.subset @t277 @t196)))) % 2.53/2.73 (assume @p238 (forall @t84 (=> @t283 (=> @t55 @t281)))) % 2.53/2.73 (assume @p239 (forall @t27 (=> @t24 (= (tptp.in @t1 @t286) (and @t203 (tptp.in @t1 @t150)))))) % 2.53/2.73 (assume @p240 (forall @t6 (=> @t53 (not (and @t106 @t280 (= @t277 tptp.empty_set)))))) % 2.53/2.73 (assume @p241 (forall @t27 (=> @t24 (=> @t55 (tptp.subset (tptp.relation_inverse_image @t23 @t1) @t285))))) % 2.53/2.73 (assume @p242 (forall @t6 (=> @t53 (= @t287 (tptp.relation_dom_restriction @t73 @t1))))) % 2.53/2.73 (assume @p243 (forall @t6 (tptp.subset @t42 @t1))) % 2.53/2.73 (assume @p244 (forall @t6 (=> @t53 (= @t287 (tptp.relation_rng_restriction @t1 @t288))))) % 2.53/2.73 (assume @p245 (forall @t27 (=> @t24 (=> (tptp.in @t1 (tptp.relation_field @t286)) (and @t290 @t5))))) % 2.53/2.73 (assume @p246 (forall @t27 (=> (and @t55 @t292) (tptp.subset @t1 @t291)))) % 2.53/2.73 (assume @p247 (forall @t15 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 2.53/2.73 (assume @p248 (forall @t6 (=> @t5 @t293))) % 2.53/2.73 (assume @p249 (forall @t27 (=> (and @t55 @t294) @t292))) % 2.53/2.73 (assume @p250 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 2.53/2.73 (assume @p251 (forall @t27 (=> @t24 (=> @t296 (and @t295 (tptp.in @t2 @t135)))))) % 2.53/2.73 (assume @p252 (forall @t6 (=> @t53 (and (tptp.subset @t297 @t109) (tptp.subset @t297 @t1))))) % 2.53/2.73 (assume @p253 (forall @t6 (=> @t189 (forall @t74 (=> @t156 (= @t300 (and @t295 (tptp.in @t298 @t196)))))))) % 2.53/2.73 (assume @p254 (forall @t84 (=> @t303 (forall @t67 (=> (and (tptp.relation @t57) (tptp.function @t57)) (=> @t47 (or @t92 (= (tptp.apply (tptp.relation_composition @t45 @t57) @t23) (tptp.apply @t57 @t301))))))))) % 2.53/2.73 (assume @p255 (forall @t15 (=> @t20 (forall @t13 (=> @t9 (=> @t8 @t5)))))) % 2.53/2.73 (assume @p256 (forall @t15 (=> @t22 (tptp.subset @t1 (tptp.cartesian_product2 @t66 @t143))))) % 2.53/2.73 (assume @p257 (forall @t27 (=> @t24 (tptp.subset (tptp.fiber (tptp.relation_restriction @t23 @t1) @t2) (tptp.fiber @t23 @t2))))) % 2.53/2.73 (assume @p258 (forall @t6 (=> @t189 (forall @t74 (=> @t156 (=> @t300 (= (tptp.apply @t299 @t1) (tptp.apply @t2 @t298)))))))) % 2.53/2.73 (assume @p259 (forall @t27 (=> (tptp.relation_of2_as_subset @t23 @t2 @t1) (= (forall @t69 (not (and @t60 (forall @t67 (not @t61))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t23) @t2))))) % 2.53/2.73 (assume @p260 (forall @t6 (=> @t53 (=> @t304 (tptp.reflexive @t287))))) % 2.53/2.73 (assume @p261 (forall @t6 (=> @t189 (forall @t74 (=> @t156 (=> (tptp.in @t1 @t196) (= (tptp.apply (tptp.relation_composition @t2 @t23) @t1) (tptp.apply @t23 (tptp.apply @t2 @t1))))))))) % 2.53/2.73 (assume @p262 (forall @t6 (=> @t9 (=> @t5 @t14)))) % 2.53/2.73 (assume @p263 (forall @t27 (=> @t94 (= (forall @t69 (not (and @t60 (forall @t67 (not (tptp.in @t80 @t23)))))) (= @t170 @t2))))) % 2.53/2.73 (assume @p264 (forall @t6 (=> @t53 (=> @t305 (tptp.connected @t287))))) % 2.53/2.73 (assume @p265 (forall @t15 (=> @t14 (forall @t13 (=> @t9 (not (and @t195 @t164 @t4))))))) % 2.53/2.73 (assume @p266 (forall @t6 (=> @t53 (=> @t306 (tptp.transitive @t287))))) % 2.53/2.73 (assume @p267 (forall @t15 (=> @t22 (forall @t13 (=> @t53 (=> @t55 (and (tptp.subset @t66 @t196) (tptp.subset @t143 @t268)))))))) % 2.53/2.73 (assume @p268 (forall @t6 (=> @t53 (=> @t307 (tptp.antisymmetric @t287))))) % 2.53/2.73 (assume @p269 (forall @t6 (=> @t53 (=> @t310 (and @t309 @t308))))) % 2.53/2.73 (assume @p270 (forall @t15 (exists @t13 (and @t53 @t310)))) % 2.53/2.73 (assume @p271 (forall @t27 (=> @t55 (tptp.subset (tptp.set_intersection2 @t1 @t23) @t291)))) % 2.53/2.73 (assume @p272 (forall @t15 (=> @t114 (not (and (forall @t13 (not (and @t3 @t92))) (forall @t13 (=> @t189 (not (and @t264 (forall @t74 (=> @t47 (tptp.in @t263 @t23)))))))))))) % 2.53/2.73 (assume @p273 (forall @t6 (=> @t55 (= @t42 @t1)))) % 2.53/2.73 (assume @p274 (forall @t15 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 2.53/2.73 (assume @p275 (forall @t6 (=> @t293 (or @t113 @t5)))) % 2.53/2.73 (assume @p276 (forall @t6 (=> (forall @t74 (= @t47 @t100)) @t56))) % 2.53/2.73 (assume @p277 (forall @t15 (tptp.reflexive @t110))) % 2.53/2.73 (assume @p278 (forall @t15 (tptp.subset tptp.empty_set @t1))) % 2.53/2.73 (assume @p279 (forall @t27 (=> @t24 (=> @t296 (and @t290 (tptp.in @t2 @t289)))))) % 2.53/2.73 (assume @p280 (forall @t15 (=> (forall @t13 (=> @t3 (and @t9 @t54))) @t14))) % 2.53/2.73 (assume @p281 (forall @t6 (=> @t53 (=> @t311 (tptp.well_founded_relation @t287))))) % 2.53/2.73 (assume @p282 (forall @t6 (=> @t9 (not (and @t55 @t106 (forall @t74 (=> @t229 (not (and @t47 (forall @t69 (=> @t261 (=> @t105 (tptp.ordinal_subset @t23 @t45))))))))))))) % 2.53/2.73 (assume @p283 (forall @t6 (=> @t53 (=> @t197 @t308)))) % 2.53/2.73 (assume @p284 (forall @t15 (=> @t14 (forall @t13 (=> @t9 (= @t5 (tptp.ordinal_subset @t99 @t2))))))) % 2.53/2.73 (assume @p285 (forall @t27 (=> @t55 (tptp.subset (tptp.set_difference @t1 @t23) @t208)))) % 2.53/2.73 (assume @p286 (forall @t84 (=> (= @t146 @t48) (and @t266 @t111)))) % 2.53/2.73 (assume @p287 (forall @t6 (=> @t189 (= @t52 (and @t264 (forall @t74 (=> @t47 (= @t263 @t23)))))))) % 2.53/2.73 (assume @p288 (forall @t6 (=> @t3 (= (tptp.apply @t51 @t2) @t2)))) % 2.53/2.73 (assume @p289 (forall @t6 (tptp.subset @t141 @t1))) % 2.53/2.73 (assume @p290 (forall @t15 (=> @t22 (and (= @t143 (tptp.relation_dom @t152)) (= @t66 (tptp.relation_rng @t152)))))) % 2.53/2.73 (assume @p291 (forall @t27 (= (tptp.subset @t39 @t23) (and @t203 @t122)))) % 2.53/2.73 (assume @p292 (forall @t6 (=> @t53 (=> (and @t197 (tptp.subset @t1 @t109)) @t309)))) % 2.53/2.73 (assume @p293 (forall @t6 (= @t312 @t41))) % 2.53/2.73 (assume @p294 (forall @t15 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 2.53/2.73 (assume @p295 (forall @t27 (not (and @t5 @t122 @t47)))) % 2.53/2.73 (assume @p296 @t313) % 2.53/2.73 (assume @p297 (forall @t15 (tptp.transitive @t110))) % 2.53/2.73 (assume @p298 (forall @t6 (and (not (and @t315 (forall @t74 (not @t314)))) (not (and (exists @t74 @t314) @t157))))) % 2.53/2.73 (assume @p299 (forall @t15 (=> (tptp.subset @t1 tptp.empty_set) @t91))) % 2.53/2.73 (assume @p300 (forall @t6 (= (tptp.set_difference @t41 @t2) @t141))) % 2.53/2.73 (assume @p301 (forall @t15 (=> @t14 (= @t149 (forall @t13 (=> @t9 (=> @t3 (tptp.in @t262 @t1)))))))) % 2.53/2.73 (assume @p302 (forall @t15 (=> @t14 (and (not (and (not @t149) (forall @t13 (=> @t9 (not @t316))))) (not (and (exists @t13 (and @t9 @t316)) @t149)))))) % 2.53/2.73 (assume @p303 (forall @t6 (=> @t31 (forall @t74 (=> @t175 (= @t318 (tptp.subset @t2 @t317))))))) % 2.53/2.73 (assume @p304 (forall @t15 (=> @t22 (forall @t13 (=> @t53 (tptp.subset @t319 @t66)))))) % 2.53/2.73 (assume @p305 (forall @t15 (=> @t22 (forall @t13 (=> @t53 (tptp.subset @t284 @t268)))))) % 2.53/2.73 (assume @p306 (forall @t6 (=> @t55 (= @t2 @t312)))) % 2.53/2.73 (assume @p307 (forall @t84 (=> @t303 (=> @t115 (forall @t67 (= (tptp.in @t57 (tptp.relation_inverse_image @t45 @t23)) (and @t72 (tptp.in (tptp.apply @t45 @t57) @t23)))))))) % 2.53/2.73 (assume @p308 (forall @t15 (=> @t22 (forall @t13 (=> @t53 (=> (tptp.subset @t143 @t196) (= @t319 @t66))))))) % 2.53/2.73 (assume @p309 (forall @t6 (=> @t163 (not (and @t115 (= @t161 tptp.empty_set)))))) % 2.53/2.73 (assume @p310 (forall @t15 (=> @t22 (forall @t13 (=> @t53 (=> (tptp.subset @t66 @t268) (= (tptp.relation_rng @t179) @t143))))))) % 2.53/2.73 (assume @p311 (forall @t6 (=> @t163 (=> @t115 (= (tptp.subset_difference @t1 @t131 @t171) (tptp.meet_of_subsets @t1 @t161)))))) % 2.53/2.73 (assume @p312 (forall @t6 (=> @t163 (=> @t115 (= (tptp.union_of_subsets @t1 @t161) (tptp.subset_difference @t1 @t131 @t173)))))) % 2.53/2.73 (assume @p313 (forall @t6 (= (tptp.set_difference @t1 @t141) @t42))) % 2.53/2.73 (assume @p314 (forall @t15 (=> @t22 (forall @t13 (=> @t53 (forall @t74 (=> @t156 (=> @t155 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t23)))))))))) % 2.53/2.73 (assume @p315 (forall @t15 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 2.53/2.73 (assume @p316 (forall @t27 (=> (and @t5 @t320) (tptp.element @t1 @t23)))) % 2.53/2.73 (assume @p317 (forall @t15 (=> @t14 (tptp.connected @t110)))) % 2.53/2.73 (assume @p318 (forall @t6 (and (not (and @t315 (forall @t74 (not @t321)))) (not (and (exists @t74 @t321) @t157))))) % 2.53/2.73 (assume @p319 (forall @t15 (=> @t106 (forall @t13 (=> @t31 (forall @t74 (=> (tptp.element @t23 @t1) (=> @t120 (tptp.in @t23 @t145))))))))) % 2.53/2.73 (assume @p320 (forall @t15 (=> @t22 (forall @t13 (=> @t53 (forall @t74 (=> @t156 (=> @t155 (and (=> @t133 @t304) (=> @t82 @t306) (=> @t81 @t305) (=> @t76 @t307) (=> @t116 @t311)))))))))) % 2.53/2.73 (assume @p321 (forall @t15 (=> @t71 (=> @t35 (forall @t13 (=> @t189 (= (= @t2 @t165) (and (= @t196 @t143) (forall @t50 (and (=> @t322 @t142) (=> @t142 @t322))))))))))) % 2.53/2.73 (assume @p322 (forall @t27 (=> @t175 (not (and (tptp.in @t2 @t317) @t122))))) % 2.53/2.73 (assume @p323 (forall @t15 (=> @t22 (forall @t13 (=> @t53 (forall @t74 (=> @t156 (=> (and @t134 @t155) @t197)))))))) % 2.53/2.73 (assume @p324 (forall @t15 (=> @t71 (=> @t35 (and (= @t143 (tptp.relation_dom @t165)) (= @t66 (tptp.relation_rng @t165))))))) % 2.53/2.73 (assume @p325 (forall @t15 (=> @t22 (=> (forall @t64 @t200) @t91)))) % 2.53/2.73 (assume @p326 (forall @t6 (=> @t189 (=> (and @t207 (tptp.in @t1 @t268)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t323 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t323 @t2) @t1))))))) % 2.53/2.73 (assume @p327 (forall @t27 (not (and @t5 @t320 (tptp.empty @t23))))) % 2.53/2.73 (assume @p328 (forall @t15 (=> @t22 (= @t116 (tptp.is_well_founded_in @t1 @t75))))) % 2.53/2.73 (assume @p329 (forall @t15 (tptp.antisymmetric @t110))) % 2.53/2.73 (assume @p330 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 2.53/2.73 (assume @p331 (forall @t6 (not (and @t55 @t7)))) % 2.53/2.73 (assume @p332 (forall @t15 (=> @t71 (=> @t35 (tptp.one_to_one @t165))))) % 2.53/2.73 (assume @p333 (forall @t27 (=> (and @t55 @t318) (tptp.disjoint @t1 @t23)))) % 2.53/2.73 (assume @p334 (forall @t15 (=> @t22 (=> (or @t325 @t324) @t91)))) % 2.53/2.73 (assume @p335 (forall @t15 (=> @t22 (= @t325 @t324)))) % 2.53/2.73 (assume @p336 (forall @t6 (= (= (tptp.set_difference @t1 @t201) @t1) @t4))) % 2.53/2.73 (assume @p337 (forall @t6 (=> @t189 (forall @t74 (=> @t156 (= (= @t2 @t205) (and (= @t196 (tptp.set_intersection2 @t136 @t1)) (forall @t69 (=> (tptp.in @t45 @t196) (= (tptp.apply @t2 @t45) @t154)))))))))) % 2.53/2.73 (assume @p338 (forall @t15 (= (tptp.unordered_pair @t1 @t1) @t98))) % 2.53/2.73 (assume @p339 (forall @t15 (=> @t17 @t91))) % 2.53/2.73 (assume @p340 (forall @t84 (=> @t303 (=> @t47 (or @t92 (tptp.in @t301 @t282)))))) % 2.53/2.73 (assume @p341 (forall @t15 (=> @t14 (tptp.well_founded_relation @t110)))) % 2.53/2.73 (assume @p342 (forall @t6 (=> (tptp.subset @t98 @t201) @t56))) % 2.53/2.73 (assume @p343 (forall @t27 (=> @t156 (=> @t206 @t326)))) % 2.53/2.73 (assume @p344 (forall @t15 (and (= (tptp.relation_dom @t51) @t1) (= (tptp.relation_rng @t51) @t1)))) % 2.53/2.73 (assume @p345 (forall @t27 (=> @t156 (=> @t3 @t326)))) % 2.53/2.73 (assume @p346 (forall @t84 (=> @t232 (= (tptp.in @t146 (tptp.relation_composition (tptp.identity_relation @t23) @t45)) (and @t203 (tptp.in @t146 @t45)))))) % 2.53/2.73 (assume @p347 (forall @t6 (not (and @t5 @t113)))) % 2.53/2.73 (assume @p348 (forall @t6 (and (= (tptp.pair_first @t146) @t1) (= (tptp.pair_second @t146) @t2)))) % 2.53/2.73 (assume @p349 (forall @t6 (not (and @t5 (forall @t74 (not (and @t100 (forall @t69 (not (and @t60 @t68)))))))))) % 2.53/2.73 (assume @p350 (forall @t15 (=> @t14 (tptp.well_ordering @t110)))) % 2.53/2.73 (assume @p351 (forall @t6 (tptp.subset @t1 @t41))) % 2.53/2.73 (assume @p352 (forall @t6 (= @t157 (= @t141 @t1)))) % 2.53/2.73 (assume @p353 (forall @t27 (=> @t24 (= (tptp.in @t1 (tptp.relation_dom @t275)) (and @t5 @t295))))) % 2.53/2.73 (assume @p354 (forall @t6 (=> @t53 (tptp.subset @t288 @t2)))) % 2.53/2.73 (assume @p355 (forall @t6 (not (and @t17 @t164 @t113)))) % 2.53/2.73 (assume @p356 (forall @t27 (=> @t156 (= @t296 (and @t295 (= @t2 @t298)))))) % 2.53/2.73 (assume @p357 (forall @t15 (=> @t22 (= (tptp.well_orders @t1 @t75) @t134)))) % 2.53/2.73 (assume @p358 (forall @t27 (=> (and @t55 @t124) (tptp.subset (tptp.set_union2 @t1 @t23) @t2)))) % 2.53/2.73 (assume @p359 (forall @t27 (=> @t327 @t56))) % 2.53/2.73 (assume @p360 (forall @t6 (=> @t53 (= (tptp.relation_dom @t288) @t279)))) % 2.53/2.73 (assume @p361 (forall @t6 (=> @t53 (= @t288 (tptp.relation_composition @t51 @t2))))) % 2.53/2.73 (assume @p362 (forall @t6 (=> @t53 (tptp.subset (tptp.relation_rng @t288) @t268)))) % 2.53/2.73 (assume @p363 (forall @t15 (= (tptp.union @t30) @t1))) % 2.53/2.73 (assume @p364 (forall @t84 (=> @t303 (=> @t294 (or (and @t92 @t106) (and @t302 (tptp.quasi_total @t45 @t1 @t23) (tptp.relation_of2_as_subset @t45 @t1 @t23))))))) % 2.53/2.73 (assume @p365 (forall @t15 (exists @t13 (and @t5 @t271 (forall @t74 (not (and @t100 (forall @t69 (not (and @t60 (forall @t67 (=> (tptp.subset @t57 @t23) @t83)))))))) @t269)))) % 2.53/2.73 (assume @p366 (forall @t27 (=> @t327 @t95))) % 2.53/2.73 (step @p367 :rule aci_norm :args ((= @t334 @t332))) % 2.53/2.73 (step @p368 :rule cong :premises (@p367) :args (@t336)) % 2.53/2.73 (step @p369 :rule quant-merge-prenex :args ((= (forall @t15 @t338) @t336))) % 2.53/2.73 (step @p370 :rule alpha_equiv :args (@t339 (@list @t328) (@list @t2))) % 2.53/2.73 (step @p371 :rule refl :args (@t331)) % 2.53/2.73 (step @p372 :rule nary_cong :premises (@p371 @p370) :args (@t340)) % 2.53/2.73 (step @p373 :rule quant-miniscope-or :args ((= @t338 @t340))) % 2.53/2.73 (step @p374 :rule trans :premises (@p373 @p372)) % 2.53/2.73 (step @p375 :rule symm :premises (@p374)) % 2.53/2.73 (step @p376 :rule cong :premises (@p375) :args ((forall @t15 (or @t331 @t341)))) % 2.53/2.73 (step @p377 :rule trans :premises (@p376 @p369)) % 2.53/2.73 (step @p378 :rule trans :premises (@p377 @p368)) % 2.53/2.73 (step @p379 :rule bool-impl-elim :args (@t16 @t341)) % 2.53/2.73 (step @p380 :rule cong :premises (@p379) :args ((forall @t15 (=> @t16 @t341)))) % 2.53/2.73 (step @p381 :rule trans :premises (@p380 @p378)) % 2.53/2.73 (step @p382 :rule bool-impl-elim :args (@t31 @t29)) % 2.53/2.73 (step @p383 :rule cong :premises (@p382) :args (@t32)) % 2.53/2.73 (step @p384 :rule refl :args (@t16)) % 2.53/2.73 (step @p385 :rule cong :premises (@p384 @p383) :args (@t33)) % 2.53/2.73 (step @p386 :rule cong :premises (@p385) :args (@t34)) % 2.53/2.73 (step @p387 :rule trans :premises (@p386 @p381)) % 2.53/2.73 (step @p388 :rule eq_resolve :premises (@p10 @p387)) % 2.53/2.73 (step @p389 :rule eq-symm :args (@t204 @t55)) % 2.53/2.73 (step @p390 :rule cong :premises (@p389) :args (@t313)) % 2.53/2.73 (step @p391 :rule eq_resolve :premises (@p296 @p390)) % 2.53/2.73 (step @p392 :rule instantiate :premises (@p391) :args ((@list @t347 @t346))) % 2.53/2.73 (step @p393 :rule aci_norm :args ((= (or (or @t343 @t342) @t16) @t344))) % 2.53/2.73 (step @p394 :rule refl :args (@t16)) % 2.53/2.73 (step @p395 :rule bool-and-de-morgan :args (@t55 @t29 true)) % 2.53/2.73 (step @p396 :rule nary_cong :premises (@p395 @p394) :args ((or (not @t272) @t16))) % 2.53/2.73 (step @p397 :rule trans :premises (@p396 @p393)) % 2.53/2.73 (step @p398 :rule bool-impl-elim :args (@t272 @t16)) % 2.53/2.73 (step @p399 :rule trans :premises (@p398 @p397)) % 2.53/2.73 (step @p400 :rule cong :premises (@p399) :args (@t273)) % 2.53/2.73 (step @p401 :rule cong :premises (@p400) :args (@t274)) % 2.53/2.73 (step @p402 :rule eq_resolve :premises (@p225 @p401)) % 2.53/2.73 (step @p403 :rule skolemize :premises (@p402)) % 2.53/2.73 (step @p404 :rule bool-double-not-elim :args (@t348)) % 2.53/2.73 (step @p405 :rule refl :args (@t353)) % 2.53/2.73 (step @p406 :rule nary_cong :premises (@p405 @p404) :args ((or @t353 (not @t352)))) % 2.53/2.73 (step @p407 :rule cnf_or_neg :args (@t353 0)) % 2.53/2.73 (step @p408 :rule eq_resolve :premises (@p407 @p406)) % 2.53/2.73 (step @p409 :rule reordering :premises (@p408) :args ((or @t348 @t353))) % 2.53/2.73 (step @p410 :rule chain_m_resolution :premises (@p409 @p403) :args (@t348 @t354 @t355)) % 2.53/2.73 (step @p411 :rule cnf_equiv_pos1 :args (@t357)) % 2.53/2.73 (step @p412 :rule reordering :premises (@p411) :args ((or @t352 @t356 (not @t357)))) % 2.53/2.73 (step @p413 :rule chain_m_resolution :premises (@p412 @p410 @p392) :args (@t356 (@list false false) (@list @t348 @t357))) % 2.53/2.73 (step @p414 :rule cnf_or_neg :args (@t353 2)) % 2.53/2.73 (step @p415 :rule chain_m_resolution :premises (@p414 @p403) :args ((not @t349) @t354 @t355)) % 2.53/2.73 (step @p416 :rule bool-double-not-elim :args (@t350)) % 2.53/2.75 (step @p417 :rule nary_cong :premises (@p405 @p416) :args ((or @t353 (not @t351)))) % 2.53/2.75 (step @p418 :rule cnf_or_neg :args (@t353 1)) % 2.53/2.75 (step @p419 :rule eq_resolve :premises (@p418 @p417)) % 2.53/2.75 (step @p420 :rule reordering :premises (@p419) :args ((or @t350 @t353))) % 2.53/2.75 (step @p421 :rule chain_m_resolution :premises (@p420 @p403) :args (@t350 @t354 @t355)) % 2.53/2.75 (step @p422 :rule cnf_or_pos :args (@t359)) % 2.53/2.75 (step @p423 :rule reordering :premises (@p422) :args ((or @t351 @t349 @t358 @t360))) % 2.53/2.75 (step @p424 :rule chain_m_resolution :premises (@p423 @p421 @p415 @p413) :args (@t360 (@list false true false) (@list @t350 @t349 @t356))) % 2.53/2.75 (assume-push @p431 @t361) % 2.53/2.75 (step @p426 :rule instantiate :premises (@p388) :args ((@list @t346 @t347))) % 2.53/2.75 (step-pop @p432 :rule scope :premises (@p426)) % 2.53/2.75 (step @p427 :rule process_scope :premises (@p432) :args (@t359)) % 2.53/2.75 (step @p429 :rule implies_elim :premises (@p427)) % 2.53/2.75 (step @p430 false :rule chain_m_resolution :premises (@p429 @p424 @p388) :args (false (@list true false) (@list @t359 @t361))) % 2.53/2.75 ) % 2.53/2.75 % SZS output end Proof % 2.53/2.75 % cvc5 exiting %------------------------------------------------------------------------------