%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU293+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 : n018.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 34.02s 34.59s % Output : Proof 34.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU293+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:53:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.40/0.58 %----Proving TF0_NAR, FOF, or CNF % 34.02/34.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.02/34.59 --- Run --no-e-matching --full-saturate-quant at 6... % 34.02/34.59 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.02/34.59 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.02/34.59 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.02/34.59 % SZS status Theorem % 34.02/34.59 % SZS output start Proof % 34.02/34.59 ( % 34.02/34.59 (declare-sort $$unsorted 0) % 34.02/34.59 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.empty_set $$unsorted) % 34.02/34.59 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.function (-> $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.connected (-> $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.relation (-> $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.transitive (-> $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.59 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 34.02/34.59 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 34.02/34.59 (define @t1 () (@var "A" $$unsorted)) % 34.02/34.59 (define @t2 () (@var "B" $$unsorted)) % 34.02/34.59 (define @t3 () (tptp.in @t2 @t1)) % 34.02/34.59 (define @t4 () (not @t3)) % 34.02/34.59 (define @t5 () (tptp.in @t1 @t2)) % 34.02/34.59 (define @t6 () (@list @t1 @t2)) % 34.02/34.59 (define @t7 () (tptp.proper_subset @t2 @t1)) % 34.02/34.59 (define @t8 () (tptp.proper_subset @t1 @t2)) % 34.02/34.59 (define @t9 () (tptp.function @t1)) % 34.02/34.59 (define @t10 () (tptp.empty @t1)) % 34.02/34.59 (define @t11 () (@list @t1)) % 34.02/34.59 (define @t12 () (tptp.epsilon_connected @t1)) % 34.02/34.59 (define @t13 () (tptp.epsilon_transitive @t1)) % 34.02/34.59 (define @t14 () (and @t13 @t12)) % 34.02/34.59 (define @t15 () (tptp.ordinal @t1)) % 34.02/34.59 (define @t16 () (tptp.relation @t1)) % 34.02/34.59 (define @t17 () (@var "C" $$unsorted)) % 34.02/34.59 (define @t18 () (tptp.relation @t17)) % 34.02/34.59 (define @t19 () (tptp.cartesian_product2 @t1 @t2)) % 34.02/34.59 (define @t20 () (tptp.element @t17 (tptp.powerset @t19))) % 34.02/34.59 (define @t21 () (@list @t1 @t2 @t17)) % 34.02/34.59 (define @t22 () (forall @t21 (=> @t20 @t18))) % 34.02/34.59 (define @t23 () (tptp.one_to_one @t1)) % 34.02/34.59 (define @t24 () (and @t16 @t9 @t23)) % 34.02/34.59 (define @t25 () (and @t16 @t10 @t9)) % 34.02/34.59 (define @t26 () (and @t13 @t12 @t15)) % 34.02/34.59 (define @t27 () (tptp.unordered_pair @t1 @t2)) % 34.02/34.59 (define @t28 () (tptp.set_union2 @t2 @t1)) % 34.02/34.59 (define @t29 () (tptp.set_union2 @t1 @t2)) % 34.02/34.59 (define @t30 () (tptp.set_intersection2 @t1 @t2)) % 34.02/34.59 (define @t31 () (tptp.ordinal_subset @t1 @t2)) % 34.02/34.59 (define @t32 () (tptp.ordinal @t2)) % 34.02/34.59 (define @t33 () (and @t15 @t32)) % 34.02/34.59 (define @t34 () (@var "D" $$unsorted)) % 34.02/34.59 (define @t35 () (= @t17 @t34)) % 34.02/34.59 (define @t36 () (tptp.in @t17 @t1)) % 34.02/34.59 (define @t37 () (tptp.ordered_pair @t17 @t34)) % 34.02/34.59 (define @t38 () (tptp.in @t37 @t2)) % 34.02/34.59 (define @t39 () (@list @t17 @t34)) % 34.02/34.59 (define @t40 () (tptp.identity_relation @t1)) % 34.02/34.59 (define @t41 () (= @t2 @t40)) % 34.02/34.59 (define @t42 () (tptp.relation @t2)) % 34.02/34.59 (define @t43 () (tptp.subset @t2 @t1)) % 34.02/34.59 (define @t44 () (tptp.subset @t1 @t2)) % 34.02/34.59 (define @t45 () (= @t1 @t2)) % 34.02/34.59 (define @t46 () (@var "E" $$unsorted)) % 34.02/34.59 (define @t47 () (tptp.ordered_pair @t34 @t46)) % 34.02/34.59 (define @t48 () (tptp.in @t47 @t1)) % 34.02/34.59 (define @t49 () (tptp.in @t34 @t2)) % 34.02/34.59 (define @t50 () (tptp.in @t47 @t17)) % 34.02/34.59 (define @t51 () (@list @t34 @t46)) % 34.02/34.59 (define @t52 () (tptp.relation_dom_restriction @t1 @t2)) % 34.02/34.59 (define @t53 () (@list @t2 @t17)) % 34.02/34.59 (define @t54 () (tptp.in @t46 @t2)) % 34.02/34.59 (define @t55 () (tptp.relation_dom @t1)) % 34.02/34.59 (define @t56 () (@list @t46)) % 34.02/34.59 (define @t57 () (tptp.in @t34 @t17)) % 34.02/34.59 (define @t58 () (@list @t34)) % 34.02/34.59 (define @t59 () (= @t17 (tptp.relation_image @t1 @t2))) % 34.02/34.59 (define @t60 () (and @t16 @t9)) % 34.02/34.59 (define @t61 () (tptp.in @t46 @t1)) % 34.02/34.59 (define @t62 () (tptp.relation_rng_restriction @t1 @t2)) % 34.02/34.59 (define @t63 () (@list @t17)) % 34.02/34.59 (define @t64 () (tptp.relation_field @t1)) % 34.02/34.59 (define @t65 () (tptp.antisymmetric @t1)) % 34.02/34.59 (define @t66 () (tptp.apply @t1 @t34)) % 34.02/34.59 (define @t67 () (tptp.in @t34 @t55)) % 34.02/34.59 (define @t68 () (= @t17 (tptp.relation_inverse_image @t1 @t2))) % 34.02/34.59 (define @t69 () (forall @t53 (= @t68 (forall @t58 (= @t57 (and @t67 (tptp.in @t66 @t2))))))) % 34.02/34.59 (define @t70 () (forall @t11 (=> @t60 @t69))) % 34.02/34.59 (define @t71 () (tptp.ordered_pair @t46 @t34)) % 34.02/34.59 (define @t72 () (tptp.connected @t1)) % 34.02/34.59 (define @t73 () (tptp.transitive @t1)) % 34.02/34.59 (define @t74 () (tptp.in @t46 @t34)) % 34.02/34.59 (define @t75 () (@list @t1 @t2 @t17 @t34)) % 34.02/34.59 (define @t76 () (tptp.in (tptp.ordered_pair @t2 @t34) @t1)) % 34.02/34.59 (define @t77 () (tptp.ordered_pair @t2 @t17)) % 34.02/34.59 (define @t78 () (tptp.in @t77 @t1)) % 34.02/34.59 (define @t79 () (@list @t2 @t17 @t34)) % 34.02/34.59 (define @t80 () (= @t17 tptp.empty_set)) % 34.02/34.59 (define @t81 () (tptp.quasi_total @t17 @t1 @t2)) % 34.02/34.59 (define @t82 () (= @t81 @t80)) % 34.02/34.59 (define @t83 () (= @t1 tptp.empty_set)) % 34.02/34.59 (define @t84 () (or @t83 @t82)) % 34.02/34.59 (define @t85 () (= @t2 tptp.empty_set)) % 34.02/34.59 (define @t86 () (tptp.relation_dom_as_subset @t1 @t2 @t17)) % 34.02/34.59 (define @t87 () (= @t81 (= @t1 @t86))) % 34.02/34.59 (define @t88 () (=> @t85 @t83)) % 34.02/34.59 (define @t89 () (and (=> @t88 @t87) (=> @t85 @t84))) % 34.02/34.59 (define @t90 () (tptp.relation_of2_as_subset @t17 @t1 @t2)) % 34.02/34.59 (define @t91 () (forall @t21 (=> @t90 @t89))) % 34.02/34.59 (define @t92 () (= @t2 @t17)) % 34.02/34.59 (define @t93 () (= @t1 @t37)) % 34.02/34.59 (define @t94 () (@list @t2)) % 34.02/34.59 (define @t95 () (exists @t53 (= @t1 @t77))) % 34.02/34.59 (define @t96 () (tptp.singleton @t1)) % 34.02/34.59 (define @t97 () (tptp.succ @t1)) % 34.02/34.59 (define @t98 () (tptp.in @t17 @t2)) % 34.02/34.59 (define @t99 () (tptp.is_reflexive_in @t1 @t2)) % 34.02/34.59 (define @t100 () (tptp.relation_of2 @t17 @t1 @t2)) % 34.02/34.59 (define @t101 () (= @t2 (tptp.set_meet @t1))) % 34.02/34.59 (define @t102 () (tptp.in @t17 @t34)) % 34.02/34.59 (define @t103 () (tptp.in @t34 @t1)) % 34.02/34.59 (define @t104 () (not @t83)) % 34.02/34.59 (define @t105 () (= @t34 @t2)) % 34.02/34.59 (define @t106 () (tptp.subset @t17 @t34)) % 34.02/34.59 (define @t107 () (tptp.relation_field @t2)) % 34.02/34.59 (define @t108 () (tptp.inclusion_relation @t1)) % 34.02/34.59 (define @t109 () (tptp.powerset @t1)) % 34.02/34.59 (define @t110 () (= @t2 @t34)) % 34.02/34.59 (define @t111 () (tptp.in @t37 @t1)) % 34.02/34.59 (define @t112 () (tptp.empty @t2)) % 34.02/34.59 (define @t113 () (tptp.element @t2 @t1)) % 34.02/34.59 (define @t114 () (not @t10)) % 34.02/34.59 (define @t115 () (not @t85)) % 34.02/34.59 (define @t116 () (tptp.well_founded_relation @t1)) % 34.02/34.59 (define @t117 () (@var "F" $$unsorted)) % 34.02/34.59 (define @t118 () (tptp.ordered_pair @t46 @t117)) % 34.02/34.59 (define @t119 () (@list @t46 @t117)) % 34.02/34.59 (define @t120 () (not @t98)) % 34.02/34.59 (define @t121 () (not @t92)) % 34.02/34.59 (define @t122 () (tptp.in @t2 @t17)) % 34.02/34.59 (define @t123 () (forall @t63 (=> @t36 @t98))) % 34.02/34.59 (define @t124 () (tptp.subset @t17 @t2)) % 34.02/34.59 (define @t125 () (tptp.is_well_founded_in @t1 @t2)) % 34.02/34.59 (define @t126 () (tptp.apply @t1 @t2)) % 34.02/34.59 (define @t127 () (= @t17 @t126)) % 34.02/34.59 (define @t128 () (tptp.in @t2 @t55)) % 34.02/34.59 (define @t129 () (tptp.in (tptp.ordered_pair @t34 @t17) @t1)) % 34.02/34.59 (define @t130 () (tptp.is_antisymmetric_in @t1 @t2)) % 34.02/34.59 (define @t131 () (tptp.cast_to_subset @t1)) % 34.02/34.59 (define @t132 () (tptp.union @t1)) % 34.02/34.59 (define @t133 () (tptp.reflexive @t1)) % 34.02/34.59 (define @t134 () (tptp.well_ordering @t1)) % 34.02/34.59 (define @t135 () (tptp.relation_rng @t17)) % 34.02/34.59 (define @t136 () (tptp.relation_dom @t17)) % 34.02/34.59 (define @t137 () (= @t136 @t1)) % 34.02/34.59 (define @t138 () (tptp.one_to_one @t17)) % 34.02/34.59 (define @t139 () (tptp.function @t17)) % 34.02/34.59 (define @t140 () (tptp.equipotent @t1 @t2)) % 34.02/34.59 (define @t141 () (not @t49)) % 34.02/34.59 (define @t142 () (tptp.set_difference @t1 @t2)) % 34.02/34.59 (define @t143 () (and @t67 (= @t17 @t66))) % 34.02/34.59 (define @t144 () (tptp.relation_rng @t1)) % 34.02/34.59 (define @t145 () (= @t2 @t144)) % 34.02/34.59 (define @t146 () (tptp.subset_complement @t1 @t2)) % 34.02/34.59 (define @t147 () (tptp.element @t2 @t109)) % 34.02/34.59 (define @t148 () (tptp.ordered_pair @t1 @t2)) % 34.02/34.59 (define @t149 () (tptp.is_connected_in @t1 @t2)) % 34.02/34.59 (define @t150 () (tptp.is_transitive_in @t1 @t2)) % 34.02/34.59 (define @t151 () (tptp.being_limit_ordinal @t1)) % 34.02/34.59 (define @t152 () (tptp.cartesian_product2 @t2 @t2)) % 34.02/34.59 (define @t153 () (tptp.relation_restriction @t1 @t2)) % 34.02/34.59 (define @t154 () (tptp.relation_inverse @t1)) % 34.02/34.59 (define @t155 () (tptp.apply @t17 @t46)) % 34.02/34.59 (define @t156 () (tptp.apply @t17 @t34)) % 34.02/34.59 (define @t157 () (tptp.relation_isomorphism @t1 @t2 @t17)) % 34.02/34.59 (define @t158 () (and @t18 @t139)) % 34.02/34.59 (define @t159 () (tptp.disjoint @t1 @t2)) % 34.02/34.59 (define @t160 () (@list @t117)) % 34.02/34.59 (define @t161 () (tptp.relation_composition @t1 @t2)) % 34.02/34.59 (define @t162 () (@list @t17 @t34 @t46)) % 34.02/34.59 (define @t163 () (tptp.complements_of_subsets @t1 @t2)) % 34.02/34.59 (define @t164 () (tptp.powerset @t109)) % 34.02/34.59 (define @t165 () (tptp.element @t2 @t164)) % 34.02/34.59 (define @t166 () (not @t45)) % 34.02/34.59 (define @t167 () (tptp.function_inverse @t1)) % 34.02/34.59 (define @t168 () (tptp.relation @t154)) % 34.02/34.59 (define @t169 () (tptp.relation @t161)) % 34.02/34.59 (define @t170 () (and @t16 @t42)) % 34.02/34.59 (define @t171 () (tptp.powerset @t2)) % 34.02/34.59 (define @t172 () (tptp.relation_rng_as_subset @t1 @t2 @t17)) % 34.02/34.59 (define @t173 () (tptp.union_of_subsets @t1 @t2)) % 34.02/34.59 (define @t174 () (tptp.relation @t40)) % 34.02/34.59 (define @t175 () (tptp.meet_of_subsets @t1 @t2)) % 34.02/34.59 (define @t176 () (tptp.subset_difference @t1 @t2 @t17)) % 34.02/34.59 (define @t177 () (tptp.element @t17 @t109)) % 34.02/34.59 (define @t178 () (and @t147 @t177)) % 34.02/34.59 (define @t179 () (tptp.relation @t52)) % 34.02/34.59 (define @t180 () (tptp.relation @t62)) % 34.02/34.59 (define @t181 () (forall @t21 (=> @t90 @t20))) % 34.02/34.59 (define @t182 () (tptp.relation_composition @t2 @t1)) % 34.02/34.59 (define @t183 () (and @t10 @t42)) % 34.02/34.59 (define @t184 () (tptp.relation_empty_yielding tptp.empty_set)) % 34.02/34.59 (define @t185 () (tptp.relation tptp.empty_set)) % 34.02/34.59 (define @t186 () (tptp.empty tptp.empty_set)) % 34.02/34.59 (define @t187 () (tptp.relation_empty_yielding @t1)) % 34.02/34.59 (define @t188 () (and @t16 @t187)) % 34.02/34.59 (define @t189 () (tptp.function @t2)) % 34.02/34.59 (define @t190 () (not (tptp.empty @t97))) % 34.02/34.59 (define @t191 () (not @t112)) % 34.02/34.59 (define @t192 () (and @t42 @t189)) % 34.02/34.59 (define @t193 () (tptp.empty @t55)) % 34.02/34.59 (define @t194 () (and @t114 @t16)) % 34.02/34.59 (define @t195 () (tptp.empty @t144)) % 34.02/34.59 (define @t196 () (tptp.in @t2 @t64)) % 34.02/34.59 (define @t197 () (tptp.disjoint @t96 @t2)) % 34.02/34.59 (define @t198 () (not @t5)) % 34.02/34.59 (define @t199 () (tptp.relation_dom @t2)) % 34.02/34.59 (define @t200 () (tptp.well_ordering @t2)) % 34.02/34.59 (define @t201 () (tptp.in (tptp.ordered_pair @t17 @t2) @t1)) % 34.02/34.59 (define @t202 () (tptp.singleton @t17)) % 34.02/34.59 (define @t203 () (not @t78)) % 34.02/34.59 (define @t204 () (tptp.singleton @t2)) % 34.02/34.59 (define @t205 () (tptp.union @t2)) % 34.02/34.59 (define @t206 () (tptp.in @t1 @t17)) % 34.02/34.59 (define @t207 () (tptp.element @t1 @t171)) % 34.02/34.59 (define @t208 () (tptp.relation_dom_restriction @t17 @t1)) % 34.02/34.59 (define @t209 () (tptp.in @t2 (tptp.relation_dom @t208))) % 34.02/34.59 (define @t210 () (= @t86 @t136)) % 34.02/34.59 (define @t211 () (forall @t21 (=> @t100 @t210))) % 34.02/34.59 (define @t212 () (tptp.set_difference @t2 @t17)) % 34.02/34.59 (define @t213 () (@var "K" $$unsorted)) % 34.02/34.59 (define @t214 () (@var "J" $$unsorted)) % 34.02/34.59 (define @t215 () (tptp.in @t213 @t214)) % 34.02/34.59 (define @t216 () (@list @t213)) % 34.02/34.59 (define @t217 () (@list @t214)) % 34.02/34.59 (define @t218 () (= @t34 @t46)) % 34.02/34.59 (define @t219 () (@var "I" $$unsorted)) % 34.02/34.59 (define @t220 () (@var "H" $$unsorted)) % 34.02/34.59 (define @t221 () (tptp.in @t219 @t220)) % 34.02/34.59 (define @t222 () (@list @t219)) % 34.02/34.59 (define @t223 () (@list @t220)) % 34.02/34.59 (define @t224 () (exists @t223 (and (= @t17 @t220) (tptp.in @t46 @t220) (forall @t222 (=> @t221 (tptp.in (tptp.ordered_pair @t46 @t219) @t2)))))) % 34.02/34.59 (define @t225 () (@var "G" $$unsorted)) % 34.02/34.59 (define @t226 () (@list @t225)) % 34.02/34.59 (define @t227 () (exists @t160 (and (= @t17 @t117) (tptp.in @t34 @t117) (forall @t226 (=> (tptp.in @t225 @t117) (tptp.in (tptp.ordered_pair @t34 @t225) @t2)))))) % 34.02/34.59 (define @t228 () (forall @t162 (=> (and @t36 @t227 @t36 @t224) @t218))) % 34.02/34.59 (define @t229 () (and @t114 @t42)) % 34.02/34.59 (define @t230 () (= @t34 @t204)) % 34.02/34.59 (define @t231 () (= @t17 @t204)) % 34.02/34.59 (define @t232 () (forall @t79 (=> (and @t3 @t231 @t3 @t230) @t35))) % 34.02/34.59 (define @t233 () (tptp.ordinal @t17)) % 34.02/34.59 (define @t234 () (tptp.apply @t17 @t117)) % 34.02/34.59 (define @t235 () (tptp.in @t117 @t1)) % 34.02/34.59 (define @t236 () (tptp.relation @t34)) % 34.02/34.59 (define @t237 () (and @t42 @t18 @t139)) % 34.02/34.59 (define @t238 () (forall @t216 (=> @t215 (tptp.in (tptp.ordered_pair @t34 @t213) @t2)))) % 34.02/34.59 (define @t239 () (tptp.in @t34 @t214)) % 34.02/34.59 (define @t240 () (@var "R" $$unsorted)) % 34.02/34.59 (define @t241 () (@var "P" $$unsorted)) % 34.02/34.59 (define @t242 () (@var "Q" $$unsorted)) % 34.02/34.59 (define @t243 () (@var "O" $$unsorted)) % 34.02/34.59 (define @t244 () (= @t117 @t46)) % 34.02/34.59 (define @t245 () (tptp.cartesian_product2 @t1 @t17)) % 34.02/34.59 (define @t246 () (= @t46 @t117)) % 34.02/34.59 (define @t247 () (@var "N" $$unsorted)) % 34.02/34.59 (define @t248 () (@var "L" $$unsorted)) % 34.02/34.59 (define @t249 () (@var "M" $$unsorted)) % 34.02/34.59 (define @t250 () (@list @t249)) % 34.02/34.59 (define @t251 () (tptp.ordered_pair @t213 @t248)) % 34.02/34.59 (define @t252 () (@list @t213 @t248)) % 34.02/34.59 (define @t253 () (= @t34 @t117)) % 34.02/34.59 (define @t254 () (tptp.in @t225 @t1)) % 34.02/34.59 (define @t255 () (tptp.ordered_pair @t225 @t220)) % 34.02/34.59 (define @t256 () (@list @t225 @t220)) % 34.02/34.59 (define @t257 () (@list @t34 @t46 @t117)) % 34.02/34.59 (define @t258 () (= @t46 @t34)) % 34.02/34.59 (define @t259 () (tptp.in @t220 @t1)) % 34.02/34.59 (define @t260 () (= @t17 @t46)) % 34.02/34.59 (define @t261 () (tptp.ordered_pair @t117 @t225)) % 34.02/34.59 (define @t262 () (@list @t117 @t225)) % 34.02/34.59 (define @t263 () (tptp.cartesian_product2 @t1 @t1)) % 34.02/34.59 (define @t264 () (tptp.apply @t17 @t225)) % 34.02/34.59 (define @t265 () (tptp.ordinal @t34)) % 34.02/34.59 (define @t266 () (tptp.succ @t2)) % 34.02/34.59 (define @t267 () (tptp.apply @t2 @t17)) % 34.02/34.59 (define @t268 () (= @t199 @t1)) % 34.02/34.59 (define @t269 () (exists @t94 (and @t42 @t189 @t268 (forall @t63 (=> @t36 (= @t267 @t202)))))) % 34.02/34.59 (define @t270 () (= @t1 @t17)) % 34.02/34.59 (define @t271 () (tptp.relation_rng @t62)) % 34.02/34.59 (define @t272 () (tptp.relation_rng @t2)) % 34.02/34.59 (define @t273 () (forall @t63 (not (and @t124 (not (tptp.are_equipotent @t17 @t2)) @t120)))) % 34.02/34.59 (define @t274 () (tptp.powerset @t17)) % 34.02/34.59 (define @t275 () (forall @t39 (=> (and @t98 (tptp.subset @t34 @t17)) @t49))) % 34.02/34.59 (define @t276 () (tptp.relation_dom_restriction @t17 @t2)) % 34.02/34.59 (define @t277 () (tptp.relation_image @t2 @t1)) % 34.02/34.59 (define @t278 () (tptp.relation_inverse_image @t2 @t1)) % 34.02/34.59 (define @t279 () (tptp.relation_image @t2 @t278)) % 34.02/34.59 (define @t280 () (tptp.set_intersection2 @t199 @t1)) % 34.02/34.59 (define @t281 () (tptp.subset @t1 @t272)) % 34.02/34.59 (define @t282 () (tptp.relation_of2_as_subset @t34 @t17 @t2)) % 34.02/34.59 (define @t283 () (tptp.relation_rng @t34)) % 34.02/34.59 (define @t284 () (tptp.relation_of2_as_subset @t34 @t17 @t1)) % 34.02/34.59 (define @t285 () (tptp.relation_rng @t161)) % 34.02/34.59 (define @t286 () (tptp.in (tptp.ordered_pair @t1 @t34) @t17)) % 34.02/34.59 (define @t287 () (tptp.in @t34 @t135)) % 34.02/34.59 (define @t288 () (and @t287 @t286 @t49)) % 34.02/34.59 (define @t289 () (exists @t58 @t288)) % 34.02/34.59 (define @t290 () (tptp.relation_inverse_image @t17 @t2)) % 34.02/34.59 (define @t291 () (tptp.in @t1 @t290)) % 34.02/34.59 (define @t292 () (= @t291 @t289)) % 34.02/34.59 (define @t293 () (=> @t18 @t292)) % 34.02/34.59 (define @t294 () (forall @t21 @t293)) % 34.02/34.59 (define @t295 () (tptp.relation_restriction @t17 @t2)) % 34.02/34.59 (define @t296 () (tptp.relation_restriction @t2 @t1)) % 34.02/34.59 (define @t297 () (tptp.relation_dom_restriction @t2 @t1)) % 34.02/34.59 (define @t298 () (tptp.relation_field @t17)) % 34.02/34.59 (define @t299 () (tptp.in @t1 @t298)) % 34.02/34.59 (define @t300 () (tptp.set_intersection2 @t2 @t17)) % 34.02/34.59 (define @t301 () (tptp.subset @t1 @t17)) % 34.02/34.59 (define @t302 () (tptp.element @t1 @t2)) % 34.02/34.59 (define @t303 () (tptp.subset @t2 @t17)) % 34.02/34.59 (define @t304 () (tptp.in @t1 @t136)) % 34.02/34.59 (define @t305 () (tptp.in @t148 @t17)) % 34.02/34.59 (define @t306 () (tptp.relation_field @t296)) % 34.02/34.59 (define @t307 () (tptp.apply @t17 @t1)) % 34.02/34.59 (define @t308 () (tptp.relation_composition @t17 @t2)) % 34.02/34.59 (define @t309 () (tptp.in @t1 (tptp.relation_dom @t308))) % 34.02/34.59 (define @t310 () (tptp.apply @t34 @t17)) % 34.02/34.59 (define @t311 () (tptp.relation_of2_as_subset @t34 @t1 @t2)) % 34.02/34.59 (define @t312 () (tptp.quasi_total @t34 @t1 @t2)) % 34.02/34.59 (define @t313 () (tptp.function @t34)) % 34.02/34.59 (define @t314 () (and @t313 @t312 @t311)) % 34.02/34.59 (define @t315 () (tptp.reflexive @t2)) % 34.02/34.59 (define @t316 () (tptp.connected @t2)) % 34.02/34.59 (define @t317 () (tptp.transitive @t2)) % 34.02/34.59 (define @t318 () (tptp.antisymmetric @t2)) % 34.02/34.59 (define @t319 () (tptp.well_ordering @t296)) % 34.02/34.59 (define @t320 () (= @t306 @t1)) % 34.02/34.59 (define @t321 () (tptp.well_orders @t2 @t1)) % 34.02/34.59 (define @t322 () (tptp.well_founded_relation @t2)) % 34.02/34.59 (define @t323 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 34.02/34.59 (define @t324 () (and @t36 @t98)) % 34.02/34.59 (define @t325 () (not @t159)) % 34.02/34.59 (define @t326 () (= @t1 @t266)) % 34.02/34.59 (define @t327 () (tptp.subset_complement @t1 @t17)) % 34.02/34.59 (define @t328 () (tptp.disjoint @t2 @t17)) % 34.02/34.59 (define @t329 () (tptp.relation_dom @t161)) % 34.02/34.59 (define @t330 () (tptp.relation_inverse_image @t34 @t17)) % 34.02/34.59 (define @t331 () (forall @t56 (= (tptp.in @t46 @t330) (and @t61 (tptp.in (tptp.apply @t34 @t46) @t17))))) % 34.02/34.59 (define @t332 () (=> @t115 @t331)) % 34.02/34.59 (define @t333 () (forall @t75 (=> @t314 @t332))) % 34.02/34.59 (define @t334 () (not @t333)) % 34.02/34.59 (define @t335 () (tptp.element @t2 @t274)) % 34.02/34.59 (define @t336 () (tptp.in @t17 @t30)) % 34.02/34.59 (define @t337 () (and (tptp.in @t17 @t144) (= @t34 @t267))) % 34.02/34.59 (define @t338 () (tptp.function_inverse @t2)) % 34.02/34.59 (define @t339 () (= @t144 tptp.empty_set)) % 34.02/34.59 (define @t340 () (= @t55 tptp.empty_set)) % 34.02/34.59 (define @t341 () (= (tptp.apply @t208 @t2) (tptp.apply @t17 @t2))) % 34.02/34.59 (define @t342 () (= @t305 (and @t304 (= @t2 @t307)))) % 34.02/34.59 (define @t343 () (forall @t21 (=> @t158 @t342))) % 34.02/34.59 (define @t344 () (= @t96 (tptp.unordered_pair @t2 @t17))) % 34.02/34.59 (define @t345 () (and @t85 @t104)) % 34.02/34.59 (define @t346 () (@var "BOUND_VARIABLE_13329" $$unsorted)) % 34.02/34.59 (define @t347 () (= (tptp.in @t346 @t330) (and (tptp.in @t346 @t1) (tptp.in (tptp.apply @t34 @t346) @t17)))) % 34.02/34.59 (define @t348 () (not @t311)) % 34.02/34.59 (define @t349 () (not @t312)) % 34.02/34.59 (define @t350 () (not @t313)) % 34.02/34.59 (define @t351 () (or @t350 @t349 @t348 @t85 @t347)) % 34.02/34.59 (define @t352 () (forall (@list @t1 @t2 @t17 @t34 @t346) @t351)) % 34.02/34.59 (define @t353 () (@list @t346)) % 34.02/34.59 (define @t354 () (forall @t353 @t351)) % 34.02/34.59 (define @t355 () (forall @t353 @t347)) % 34.02/34.59 (define @t356 () (or @t350 @t349 @t348 @t85 @t355)) % 34.02/34.59 (define @t357 () (or @t350 @t349 @t348 @t85 @t331)) % 34.02/34.59 (define @t358 () (or @t350 @t349 @t348)) % 34.02/34.59 (define @t359 () (@quantifiers_skolemize @t352 2)) % 34.02/34.59 (define @t360 () (@quantifiers_skolemize @t352 4)) % 34.02/34.59 (define @t361 () (@quantifiers_skolemize @t352 3)) % 34.02/34.59 (define @t362 () (tptp.apply @t361 @t360)) % 34.02/34.59 (define @t363 () (tptp.in @t362 @t359)) % 34.02/34.59 (define @t364 () (@quantifiers_skolemize @t352 0)) % 34.02/34.59 (define @t365 () (tptp.in @t360 @t364)) % 34.02/34.59 (define @t366 () (and @t365 @t363)) % 34.02/34.59 (define @t367 () (tptp.relation_inverse_image @t361 @t359)) % 34.02/34.59 (define @t368 () (tptp.in @t360 @t367)) % 34.02/34.59 (define @t369 () (= @t368 @t366)) % 34.02/34.59 (define @t370 () (@quantifiers_skolemize @t352 1)) % 34.02/34.59 (define @t371 () (= tptp.empty_set @t370)) % 34.02/34.59 (define @t372 () (tptp.relation_of2_as_subset @t361 @t364 @t370)) % 34.02/34.59 (define @t373 () (not @t372)) % 34.02/34.59 (define @t374 () (tptp.quasi_total @t361 @t364 @t370)) % 34.02/34.59 (define @t375 () (not @t374)) % 34.02/34.59 (define @t376 () (tptp.function @t361)) % 34.02/34.59 (define @t377 () (not @t376)) % 34.02/34.59 (define @t378 () (or @t377 @t375 @t373 @t371 @t369)) % 34.02/34.59 (define @t379 () (not @t378)) % 34.02/34.59 (define @t380 () (not @t352)) % 34.02/34.59 (define @t381 () (= @t370 tptp.empty_set)) % 34.02/34.59 (define @t382 () (or @t377 @t375 @t373 @t381 @t369)) % 34.02/34.59 (define @t383 () (not @t382)) % 34.02/34.59 (define @t384 () (@list true)) % 34.02/34.59 (define @t385 () (@list @t378)) % 34.02/34.59 (define @t386 () (not @t286)) % 34.02/34.59 (define @t387 () (not @t287)) % 34.02/34.59 (define @t388 () (or @t387 @t386 @t141)) % 34.02/34.59 (define @t389 () (= @t291 (not (forall @t58 @t388)))) % 34.02/34.59 (define @t390 () (forall @t58 (not @t288))) % 34.02/34.59 (define @t391 () (not @t390)) % 34.02/34.59 (define @t392 () (@list @t364 @t370 @t361)) % 34.02/34.59 (define @t393 () (tptp.element @t361 (tptp.powerset (tptp.cartesian_product2 @t364 @t370)))) % 34.02/34.59 (define @t394 () (or @t373 @t393)) % 34.02/34.59 (define @t395 () (@list false false)) % 34.02/34.59 (define @t396 () (tptp.relation @t361)) % 34.02/34.59 (define @t397 () (not @t393)) % 34.02/34.59 (define @t398 () (or @t397 @t396)) % 34.02/34.59 (define @t399 () (tptp.relation_rng @t361)) % 34.02/34.59 (define @t400 () (forall @t58 (or (not (tptp.in @t34 @t399)) (not (tptp.in (tptp.ordered_pair @t360 @t34) @t361)) (not (tptp.in @t34 @t359))))) % 34.02/34.59 (define @t401 () (not @t400)) % 34.02/34.59 (define @t402 () (= @t368 @t401)) % 34.02/34.59 (define @t403 () (not @t396)) % 34.02/34.59 (define @t404 () (or @t403 @t402)) % 34.02/34.59 (define @t405 () (not @t368)) % 34.02/34.59 (define @t406 () (@quantifiers_skolemize @t400 0)) % 34.02/34.59 (define @t407 () (tptp.in @t406 @t359)) % 34.02/34.59 (define @t408 () (not @t407)) % 34.02/34.59 (define @t409 () (tptp.in (tptp.ordered_pair @t360 @t406) @t361)) % 34.02/34.59 (define @t410 () (not @t409)) % 34.02/34.59 (define @t411 () (or (not (tptp.in @t406 @t399)) @t410 @t408)) % 34.02/34.59 (define @t412 () (not @t411)) % 34.02/34.59 (define @t413 () (not @t139)) % 34.02/34.59 (define @t414 () (not @t18)) % 34.02/34.59 (define @t415 () (or @t414 @t413 @t342)) % 34.02/34.59 (define @t416 () (tptp.relation_dom @t361)) % 34.02/34.59 (define @t417 () (tptp.in @t360 @t416)) % 34.02/34.59 (define @t418 () (and @t417 (= @t406 @t362))) % 34.02/34.59 (define @t419 () (= @t409 @t418)) % 34.02/34.59 (define @t420 () (or @t403 @t377 @t419)) % 34.02/34.59 (define @t421 () (forall @t21 @t415)) % 34.02/34.59 (define @t422 () (= @t362 @t406)) % 34.02/34.59 (define @t423 () (and @t417 @t422)) % 34.02/34.59 (define @t424 () (= @t409 @t423)) % 34.02/34.59 (define @t425 () (or @t403 @t377 @t424)) % 34.02/34.59 (define @t426 () (@list false)) % 34.02/34.59 (define @t427 () (@list false false false)) % 34.02/34.59 (define @t428 () (not @t423)) % 34.02/34.59 (define @t429 () (or @t115 @t83 @t82)) % 34.02/34.59 (define @t430 () (not @t90)) % 34.02/34.59 (define @t431 () (= @t374 (= @t361 tptp.empty_set))) % 34.02/34.59 (define @t432 () (not @t381)) % 34.02/34.59 (define @t433 () (= @t364 tptp.empty_set)) % 34.02/34.59 (define @t434 () (or @t432 @t433 @t431)) % 34.02/34.59 (define @t435 () (tptp.relation_dom_as_subset @t364 @t370 @t361)) % 34.02/34.59 (define @t436 () (= @t364 @t435)) % 34.02/34.59 (define @t437 () (= @t374 @t436)) % 34.02/34.59 (define @t438 () (not @t433)) % 34.02/34.59 (define @t439 () (and @t381 @t438)) % 34.02/34.59 (define @t440 () (or @t439 @t437)) % 34.02/34.59 (define @t441 () (and @t440 @t434)) % 34.02/34.59 (define @t442 () (or @t373 @t441)) % 34.02/34.59 (define @t443 () (forall @t21 (or @t430 (and (or @t345 @t87) @t429)))) % 34.02/34.59 (define @t444 () (= tptp.empty_set @t364)) % 34.02/34.59 (define @t445 () (not @t371)) % 34.02/34.59 (define @t446 () (and @t371 (not @t444))) % 34.02/34.59 (define @t447 () (or @t446 @t437)) % 34.02/34.59 (define @t448 () (and @t447 (or @t445 @t444 (= @t374 (= tptp.empty_set @t361))))) % 34.02/34.59 (define @t449 () (or @t373 @t448)) % 34.02/34.59 (define @t450 () (not @t446)) % 34.02/34.59 (define @t451 () (tptp.relation_of2 @t361 @t364 @t370)) % 34.02/34.59 (define @t452 () (= @t372 @t451)) % 34.02/34.59 (define @t453 () (= @t435 @t416)) % 34.02/34.59 (define @t454 () (not @t451)) % 34.02/34.59 (define @t455 () (or @t454 @t453)) % 34.02/34.59 (define @t456 () (and @t436 @t453 @t417)) % 34.02/34.59 (define @t457 () (not @t417)) % 34.02/34.59 (define @t458 () (and @t407 @t422)) % 34.02/34.59 (define @t459 () (not @t366)) % 34.02/34.59 (define @t460 () (@list @t366)) % 34.02/34.59 (define @t461 () (and @t365 @t436 @t453)) % 34.02/34.59 (define @t462 () (and @t417 @t363)) % 34.02/34.59 (define @t463 () (@var "BOUND_VARIABLE_9938" $$unsorted)) % 34.02/34.59 (define @t464 () (@var "BOUND_VARIABLE_9940" $$unsorted)) % 34.02/34.59 (define @t465 () (= (= @t464 (tptp.relation_inverse_image @t1 @t463)) (forall @t58 (= (tptp.in @t34 @t464) (and @t67 (tptp.in @t66 @t463)))))) % 34.02/34.59 (define @t466 () (not @t9)) % 34.02/34.59 (define @t467 () (not @t16)) % 34.02/34.59 (define @t468 () (or @t467 @t466 @t465)) % 34.02/34.59 (define @t469 () (forall (@list @t1 @t463 @t464) @t468)) % 34.02/34.59 (define @t470 () (@list @t463 @t464)) % 34.02/34.59 (define @t471 () (forall @t470 @t468)) % 34.02/34.59 (define @t472 () (forall @t470 @t465)) % 34.02/34.59 (define @t473 () (or @t467 @t466 @t472)) % 34.02/34.59 (define @t474 () (or @t467 @t466 @t69)) % 34.02/34.59 (define @t475 () (forall @t58 (= (tptp.in @t34 @t367) (and (tptp.in @t34 @t416) (tptp.in (tptp.apply @t361 @t34) @t359))))) % 34.02/34.59 (define @t476 () (= (= @t367 @t367) @t475)) % 34.02/34.59 (define @t477 () (or @t403 @t377 @t476)) % 34.02/34.59 (define @t478 () (or @t403 @t377 @t475)) % 34.02/34.59 (define @t479 () (= @t368 @t462)) % 34.02/34.59 (assume @p1 (forall @t6 (=> @t5 @t4))) % 34.02/34.59 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 34.02/34.59 (assume @p3 (forall @t11 (=> @t10 @t9))) % 34.02/34.59 (assume @p4 (forall @t11 (=> @t15 @t14))) % 34.02/34.59 (assume @p5 (forall @t11 (=> @t10 @t16))) % 34.02/34.59 (assume @p6 @t22) % 34.02/34.59 (assume @p7 (forall @t11 (=> @t25 @t24))) % 34.02/34.59 (assume @p8 (forall @t11 (=> @t14 @t15))) % 34.02/34.59 (assume @p9 (forall @t11 (=> @t10 @t26))) % 34.02/34.59 (assume @p10 (forall @t6 (= @t27 (tptp.unordered_pair @t2 @t1)))) % 34.02/34.59 (assume @p11 (forall @t6 (= @t29 @t28))) % 34.02/34.59 (assume @p12 (forall @t6 (= @t30 (tptp.set_intersection2 @t2 @t1)))) % 34.02/34.59 (assume @p13 (forall @t6 (=> @t33 (or @t31 (tptp.ordinal_subset @t2 @t1))))) % 34.02/34.59 (assume @p14 (forall @t6 (=> @t42 (= @t41 (forall @t39 (= @t38 (and @t36 @t35))))))) % 34.02/34.59 (assume @p15 (forall @t6 (= @t45 (and @t44 @t43)))) % 34.02/34.59 (assume @p16 (forall @t11 (=> @t16 (forall @t53 (=> @t18 (= (= @t17 @t52) (forall @t51 (= @t50 (and @t49 @t48))))))))) % 34.02/34.59 (assume @p17 (forall @t11 (=> @t60 (forall @t53 (= @t59 (forall @t58 (= @t57 (exists @t56 (and (tptp.in @t46 @t55) @t54 (= @t34 (tptp.apply @t1 @t46))))))))))) % 34.02/34.59 (assume @p18 (forall @t6 (=> @t42 (forall @t63 (=> @t18 (= (= @t17 @t62) (forall @t51 (= @t50 (and @t61 (tptp.in @t47 @t2)))))))))) % 34.02/34.59 (assume @p19 (forall @t11 (=> @t16 (= @t65 (tptp.is_antisymmetric_in @t1 @t64))))) % 34.02/34.59 (assume @p20 @t70) % 34.02/34.59 (assume @p21 (forall @t11 (=> @t16 (forall @t53 (= @t59 (forall @t58 (= @t57 (exists @t56 (and (tptp.in @t71 @t1) @t54))))))))) % 34.02/34.59 (assume @p22 (forall @t11 (=> @t16 (forall @t53 (= @t68 (forall @t58 (= @t57 (exists @t56 (and @t48 @t54))))))))) % 34.02/34.59 (assume @p23 (forall @t11 (=> @t16 (= @t72 (tptp.is_connected_in @t1 @t64))))) % 34.02/34.59 (assume @p24 (forall @t11 (=> @t16 (= @t73 (tptp.is_transitive_in @t1 @t64))))) % 34.02/34.59 (assume @p25 (forall @t75 (= (= @t34 (tptp.unordered_triple @t1 @t2 @t17)) (forall @t56 (= @t74 (not (and (not (= @t46 @t1)) (not (= @t46 @t2)) (not (= @t46 @t17))))))))) % 34.02/34.59 (assume @p26 (forall @t11 (= @t9 (forall @t79 (=> (and @t78 @t76) @t35))))) % 34.02/34.59 (assume @p27 @t91) % 34.02/34.59 (assume @p28 (forall @t11 (=> @t95 (forall @t94 (= (= @t2 (tptp.pair_first @t1)) (forall @t39 (=> @t93 @t92))))))) % 34.02/34.59 (assume @p29 (forall @t11 (= @t97 (tptp.set_union2 @t1 @t96)))) % 34.02/34.59 (assume @p30 (forall @t11 (= @t16 (forall @t94 (not (and @t3 (forall @t39 (not (= @t2 @t37))))))))) % 34.02/34.59 (assume @p31 (forall @t11 (=> @t16 (forall @t94 (= @t99 (forall @t63 (=> @t98 (tptp.in (tptp.ordered_pair @t17 @t17) @t1)))))))) % 34.02/34.59 (assume @p32 (forall @t21 (= @t100 (tptp.subset @t17 @t19)))) % 34.02/34.59 (assume @p33 (forall @t6 (and (=> @t104 (= @t101 (forall @t63 (= @t98 (forall @t58 (=> @t103 @t102)))))) (=> @t83 (= @t101 @t85))))) % 34.02/34.59 (assume @p34 (forall @t6 (= (= @t2 @t96) (forall @t63 (= @t98 (= @t17 @t1)))))) % 34.02/34.59 (assume @p35 (forall @t11 (=> @t16 (forall @t53 (= (= @t17 (tptp.fiber @t1 @t2)) (forall @t58 (= @t57 (and (not @t105) (tptp.in (tptp.ordered_pair @t34 @t2) @t1))))))))) % 34.02/34.59 (assume @p36 (forall @t6 (=> @t42 (= (= @t2 @t108) (and (= @t107 @t1) (forall @t39 (=> (and @t36 @t103) (= @t38 @t106)))))))) % 34.02/34.59 (assume @p37 (forall @t11 (= @t83 (forall @t94 @t4)))) % 34.02/34.59 (assume @p38 (forall @t6 (= (= @t2 @t109) (forall @t63 (= @t98 (tptp.subset @t17 @t1)))))) % 34.02/34.59 (assume @p39 (forall @t11 (=> @t95 (forall @t94 (= (= @t2 (tptp.pair_second @t1)) (forall @t39 (=> @t93 @t110))))))) % 34.02/34.59 (assume @p40 (forall @t11 (= @t13 (forall @t94 (=> @t3 @t43))))) % 34.02/34.59 (assume @p41 (forall @t11 (=> @t16 (forall @t94 (=> @t42 (= @t45 (forall @t39 (= @t111 @t38)))))))) % 34.02/34.59 (assume @p42 (forall @t6 (and (=> @t114 (= @t113 @t3)) (=> @t10 (= @t113 @t112))))) % 34.02/34.59 (assume @p43 (forall @t21 (= (= @t17 @t27) (forall @t58 (= @t57 (or (= @t34 @t1) @t105)))))) % 34.02/34.59 (assume @p44 (forall @t11 (=> @t16 (= @t116 (forall @t94 (not (and (tptp.subset @t2 @t64) @t115 (forall @t63 (not (and @t98 (tptp.disjoint (tptp.fiber @t1 @t17) @t2))))))))))) % 34.02/34.59 (assume @p45 (forall @t21 (= (= @t17 @t29) (forall @t58 (= @t57 (or @t103 @t49)))))) % 34.02/34.59 (assume @p46 (forall @t21 (= (= @t17 @t19) (forall @t58 (= @t57 (exists @t119 (and @t61 (tptp.in @t117 @t2) (= @t34 @t118)))))))) % 34.02/34.59 (assume @p47 (forall @t11 (= @t12 (forall @t53 (not (and @t3 @t36 (not @t122) @t121 @t120)))))) % 34.02/34.59 (assume @p48 (forall @t11 (=> @t16 (forall @t94 (=> @t42 (= @t44 (forall @t39 (=> @t111 @t38)))))))) % 34.02/34.59 (assume @p49 (forall @t6 (= @t44 @t123))) % 34.02/34.59 (assume @p50 (forall @t11 (=> @t16 (forall @t94 (= @t125 (forall @t63 (not (and @t124 (not @t80) (forall @t58 (not (and @t57 (tptp.disjoint (tptp.fiber @t1 @t34) @t17)))))))))))) % 34.02/34.59 (assume @p51 (forall @t21 (= (= @t17 @t30) (forall @t58 (= @t57 (and @t103 @t49)))))) % 34.02/34.59 (assume @p52 (forall @t11 (=> @t60 (forall @t53 (and (=> @t128 (= @t127 @t78)) (=> (not @t128) (= @t127 @t80))))))) % 34.02/34.59 (assume @p53 (forall @t11 (= @t15 @t14))) % 34.02/34.59 (assume @p54 (forall @t11 (=> @t16 (forall @t94 (= (= @t2 @t55) (forall @t63 (= @t98 (exists @t58 @t111)))))))) % 34.02/34.59 (assume @p55 (forall @t11 (=> @t16 (forall @t94 (= @t130 (forall @t39 (=> (and @t98 @t49 @t111 @t129) @t35))))))) % 34.02/34.59 (assume @p56 (forall @t11 (= @t131 @t1))) % 34.02/34.59 (assume @p57 (forall @t6 (= (= @t2 @t132) (forall @t63 (= @t98 (exists @t58 (and @t102 @t103))))))) % 34.02/34.59 (assume @p58 (forall @t11 (=> @t16 (= @t134 (and @t133 @t73 @t65 @t72 @t116))))) % 34.02/34.59 (assume @p59 (forall @t6 (= @t140 (exists @t63 (and @t18 @t139 @t138 @t137 (= @t135 @t2)))))) % 34.02/34.59 (assume @p60 (forall @t21 (= (= @t17 @t142) (forall @t58 (= @t57 (and @t103 @t141)))))) % 34.02/34.59 (assume @p61 (forall @t11 (=> @t60 (forall @t94 (= @t145 (forall @t63 (= @t98 (exists @t58 @t143)))))))) % 34.02/34.59 (assume @p62 (forall @t11 (=> @t16 (forall @t94 (= @t145 (forall @t63 (= @t98 (exists @t58 @t129)))))))) % 34.02/34.59 (assume @p63 (forall @t6 (=> @t147 (= @t146 @t142)))) % 34.02/34.59 (assume @p64 (forall @t6 (= @t148 (tptp.unordered_pair @t27 @t96)))) % 34.02/34.59 (assume @p65 (forall @t11 (=> @t16 (forall @t94 (= (tptp.well_orders @t1 @t2) (and @t99 @t150 @t130 @t149 @t125)))))) % 34.02/34.59 (assume @p66 (forall @t11 (= @t151 (= @t1 @t132)))) % 34.02/34.59 (assume @p67 (forall @t11 (=> @t16 (= @t64 (tptp.set_union2 @t55 @t144))))) % 34.02/34.59 (assume @p68 (forall @t11 (=> @t16 (forall @t94 (= @t149 (forall @t39 (not (and @t98 @t49 (not @t35) (not @t111) (not @t129))))))))) % 34.02/34.59 (assume @p69 (forall @t11 (=> @t16 (forall @t94 (= @t153 (tptp.set_intersection2 @t1 @t152)))))) % 34.02/34.59 (assume @p70 (forall @t11 (=> @t16 (forall @t94 (=> @t42 (= (= @t2 @t154) (forall @t39 (= @t38 @t129)))))))) % 34.02/34.59 (assume @p71 (forall @t11 (=> @t16 (forall @t94 (=> @t42 (forall @t63 (=> @t158 (= @t157 (and (= @t136 @t64) (= @t135 @t107) @t138 (forall @t51 (= @t48 (and (tptp.in @t34 @t64) (tptp.in @t46 @t64) (tptp.in (tptp.ordered_pair @t156 @t155) @t2))))))))))))) % 34.02/34.59 (assume @p72 (forall @t6 (= @t159 (= @t30 tptp.empty_set)))) % 34.02/34.59 (assume @p73 (forall @t11 (=> @t60 (= @t23 (forall @t53 (=> (and @t128 (tptp.in @t17 @t55) (= @t126 (tptp.apply @t1 @t17))) @t92)))))) % 34.02/34.59 (assume @p74 (forall @t11 (=> @t16 (forall @t94 (=> @t42 (forall @t63 (=> @t18 (= (= @t17 @t161) (forall @t51 (= @t50 (exists @t160 (and (tptp.in (tptp.ordered_pair @t34 @t117) @t1) (tptp.in (tptp.ordered_pair @t117 @t46) @t2))))))))))))) % 34.02/34.59 (assume @p75 (forall @t11 (=> @t16 (forall @t94 (= @t150 (forall @t162 (=> (and @t98 @t49 @t54 @t111 @t48) (tptp.in (tptp.ordered_pair @t17 @t46) @t1)))))))) % 34.02/34.59 (assume @p76 (forall @t6 (=> @t165 (forall @t63 (=> (tptp.element @t17 @t164) (= (= @t17 @t163) (forall @t58 (=> (tptp.element @t34 @t109) (= @t57 (tptp.in (tptp.subset_complement @t1 @t34) @t2)))))))))) % 34.02/34.59 (assume @p77 (forall @t6 (= @t8 (and @t44 @t166)))) % 34.02/34.59 (assume @p78 (forall @t11 (=> @t60 (=> @t23 (= @t167 @t154))))) % 34.02/34.59 (assume @p79 (forall @t11 (=> @t16 (= @t133 (tptp.is_reflexive_in @t1 @t64))))) % 34.02/34.59 (assume @p80 true) % 34.02/34.59 (assume @p81 (forall @t11 (tptp.relation @t108))) % 34.02/34.59 (assume @p82 (forall @t11 (=> @t60 (and (tptp.relation @t167) (tptp.function @t167))))) % 34.02/34.59 (assume @p83 (forall @t11 (tptp.element @t131 @t109))) % 34.02/34.59 (assume @p84 (forall @t6 (=> @t16 (tptp.relation @t153)))) % 34.02/34.59 (assume @p85 (forall @t6 (=> @t147 (tptp.element @t146 @t109)))) % 34.02/34.59 (assume @p86 (forall @t11 (=> @t16 @t168))) % 34.02/34.59 (assume @p87 (forall @t21 (=> @t100 (tptp.element @t86 @t109)))) % 34.02/34.59 (assume @p88 (forall @t6 (=> @t170 @t169))) % 34.02/34.59 (assume @p89 (forall @t21 (=> @t100 (tptp.element @t172 @t171)))) % 34.02/34.59 (assume @p90 (forall @t6 (=> @t165 (tptp.element @t173 @t109)))) % 34.02/34.59 (assume @p91 (forall @t11 @t174)) % 34.02/34.59 (assume @p92 (forall @t6 (=> @t165 (tptp.element @t175 @t109)))) % 34.02/34.59 (assume @p93 (forall @t21 (=> @t178 (tptp.element @t176 @t109)))) % 34.02/34.59 (assume @p94 (forall @t6 (=> @t16 @t179))) % 34.02/34.59 (assume @p95 (forall @t6 (=> @t165 (tptp.element @t163 @t164)))) % 34.02/34.59 (assume @p96 (forall @t6 (=> @t42 @t180))) % 34.02/34.59 (assume @p97 @t181) % 34.02/34.59 (assume @p98 (forall @t6 (exists @t63 @t100))) % 34.02/34.59 (assume @p99 (forall @t11 (exists @t94 @t113))) % 34.02/34.59 (assume @p100 (forall @t6 (exists @t63 @t90))) % 34.02/34.59 (assume @p101 (forall @t6 (=> @t183 (and (tptp.empty @t182) (tptp.relation @t182))))) % 34.02/34.59 (assume @p102 (forall @t11 (=> @t10 (and (tptp.empty @t154) @t168)))) % 34.02/34.59 (assume @p103 (and @t186 @t185 @t184)) % 34.02/34.59 (assume @p104 (forall @t6 (=> @t188 (and @t179 (tptp.relation_empty_yielding @t52))))) % 34.02/34.59 (assume @p105 (forall @t6 (=> (and @t16 @t9 @t42 @t189) (and @t169 (tptp.function @t161))))) % 34.02/34.59 (assume @p106 (forall @t11 @t190)) % 34.02/34.59 (assume @p107 (forall @t6 (=> @t170 (tptp.relation @t30)))) % 34.02/34.59 (assume @p108 (forall @t11 (not (tptp.empty @t109)))) % 34.02/34.59 (assume @p109 @t186) % 34.02/34.59 (assume @p110 (forall @t6 (not (tptp.empty @t148)))) % 34.02/34.59 (assume @p111 (forall @t11 (and @t174 (tptp.function @t40)))) % 34.02/34.59 (assume @p112 (and @t185 @t184 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t186 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 34.02/34.59 (assume @p113 (forall @t6 (=> @t170 (tptp.relation @t29)))) % 34.02/34.59 (assume @p114 (forall @t11 (not (tptp.empty @t96)))) % 34.02/34.59 (assume @p115 (forall @t6 (=> @t114 (not (tptp.empty @t29))))) % 34.02/34.59 (assume @p116 (forall @t11 (=> @t24 (and @t168 (tptp.function @t154))))) % 34.02/34.59 (assume @p117 (forall @t11 (=> @t15 (and @t190 (tptp.epsilon_transitive @t97) (tptp.epsilon_connected @t97) (tptp.ordinal @t97))))) % 34.02/34.59 (assume @p118 (forall @t6 (=> @t170 (tptp.relation @t142)))) % 34.02/34.59 (assume @p119 (forall @t6 (not (tptp.empty @t27)))) % 34.02/34.59 (assume @p120 (forall @t6 (=> @t114 (not (tptp.empty @t28))))) % 34.02/34.59 (assume @p121 (forall @t6 (=> @t60 (and @t179 (tptp.function @t52))))) % 34.02/34.59 (assume @p122 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t132) (tptp.epsilon_connected @t132) (tptp.ordinal @t132))))) % 34.02/34.59 (assume @p123 (and @t186 @t185)) % 34.02/34.59 (assume @p124 (forall @t6 (=> (and @t114 @t191) (not (tptp.empty @t19))))) % 34.02/34.59 (assume @p125 (forall @t6 (=> @t192 (and @t180 (tptp.function @t62))))) % 34.02/34.59 (assume @p126 (forall @t11 (=> @t194 (not @t193)))) % 34.02/34.59 (assume @p127 (forall @t11 (=> @t194 (not @t195)))) % 34.02/34.59 (assume @p128 (forall @t11 (=> @t10 (and @t193 (tptp.relation @t55))))) % 34.02/34.59 (assume @p129 (forall @t11 (=> @t10 (and @t195 (tptp.relation @t144))))) % 34.02/34.59 (assume @p130 (forall @t6 (=> @t183 (and (tptp.empty @t161) @t169)))) % 34.02/34.59 (assume @p131 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 34.02/34.59 (assume @p132 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 34.02/34.59 (assume @p133 (forall @t6 (=> @t147 (= (tptp.subset_complement @t1 @t146) @t2)))) % 34.02/34.59 (assume @p134 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t154) @t1)))) % 34.02/34.59 (assume @p135 (forall @t6 (=> @t165 (= (tptp.complements_of_subsets @t1 @t163) @t2)))) % 34.02/34.59 (assume @p136 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 34.02/34.59 (assume @p137 (forall @t11 (=> @t16 (= @t133 (forall @t94 (=> @t196 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 34.02/34.59 (assume @p138 (forall @t11 (not (= @t96 tptp.empty_set)))) % 34.02/34.59 (assume @p139 (forall @t6 (=> @t5 (= (tptp.set_union2 @t96 @t2) @t2)))) % 34.02/34.59 (assume @p140 (forall @t6 (not (and @t197 @t5)))) % 34.02/34.59 (assume @p141 (forall @t6 (=> @t198 @t197))) % 34.02/34.59 (assume @p142 (forall @t6 (=> @t42 (tptp.subset (tptp.relation_dom @t62) @t199)))) % 34.02/34.59 (assume @p143 (forall @t11 (=> @t16 (= @t73 (forall @t79 (=> (and @t78 @t111) @t76)))))) % 34.02/34.59 (assume @p144 (forall @t6 (= (tptp.subset @t96 @t2) @t5))) % 34.02/34.59 (assume @p145 (forall @t6 (=> @t42 (not (and @t200 (tptp.equipotent @t1 @t107) (forall @t63 (=> @t18 (not (tptp.well_orders @t17 @t1))))))))) % 34.02/34.59 (assume @p146 (forall @t6 (= (= @t142 tptp.empty_set) @t44))) % 34.02/34.59 (assume @p147 (forall @t6 (=> @t147 (forall @t63 (=> @t98 @t36))))) % 34.02/34.59 (assume @p148 (forall @t11 (=> @t16 (= @t65 (forall @t53 (=> (and @t78 @t201) @t92)))))) % 34.02/34.59 (assume @p149 (forall @t21 (=> @t44 (or @t36 (tptp.subset @t1 (tptp.set_difference @t2 @t202)))))) % 34.02/34.59 (assume @p150 (forall @t11 (=> @t16 (= @t72 (forall @t53 (not (and @t196 (tptp.in @t17 @t64) @t121 @t203 (not @t201)))))))) % 34.02/34.59 (assume @p151 (forall @t6 (= (tptp.subset @t1 @t204) (or @t83 (= @t1 @t204))))) % 34.02/34.59 (assume @p152 (forall @t6 (=> @t5 (tptp.subset @t1 @t205)))) % 34.02/34.59 (assume @p153 (forall @t75 (= (tptp.in @t148 (tptp.cartesian_product2 @t17 @t34)) (and @t206 (tptp.in @t2 @t34))))) % 34.02/34.59 (assume @p154 (forall @t6 (=> @t123 @t207))) % 34.02/34.59 (assume @p155 (forall @t21 (=> @t158 (= @t209 (and (tptp.in @t2 @t136) @t3))))) % 34.02/34.59 (assume @p156 (exists @t11 @t60)) % 34.02/34.59 (assume @p157 (forall @t6 (exists @t63 (and @t100 @t18 @t139 @t81)))) % 34.02/34.59 (assume @p158 (exists @t11 @t26)) % 34.02/34.59 (assume @p159 (exists @t11 (and @t16 @t9 @t23 @t10))) % 34.02/34.59 (assume @p160 (exists @t11 (and @t10 @t16))) % 34.02/34.59 (assume @p161 (forall @t11 (=> @t114 (exists @t94 (and @t147 @t191))))) % 34.02/34.59 (assume @p162 (exists @t11 @t10)) % 34.02/34.59 (assume @p163 (exists @t11 @t25)) % 34.02/34.59 (assume @p164 (exists @t11 (and @t16 @t9 @t23 @t10 @t13 @t12 @t15))) % 34.02/34.59 (assume @p165 (forall @t6 (exists @t63 (and @t100 @t18 @t139)))) % 34.02/34.59 (assume @p166 (exists @t11 @t194)) % 34.02/34.59 (assume @p167 (forall @t11 (exists @t94 (and @t147 @t112)))) % 34.02/34.59 (assume @p168 (exists @t11 @t114)) % 34.02/34.59 (assume @p169 (exists @t11 @t24)) % 34.02/34.59 (assume @p170 (exists @t11 (and @t114 @t13 @t12 @t15))) % 34.02/34.59 (assume @p171 (exists @t11 @t188)) % 34.02/34.59 (assume @p172 (exists @t11 (and @t16 @t187 @t9))) % 34.02/34.59 (assume @p173 @t211) % 34.02/34.59 (assume @p174 (forall @t21 (=> @t100 (= @t172 @t135)))) % 34.02/34.59 (assume @p175 (forall @t6 (=> @t165 (= @t173 @t205)))) % 34.02/34.59 (assume @p176 (forall @t6 (=> @t165 (= @t175 (tptp.set_meet @t2))))) % 34.02/34.59 (assume @p177 (forall @t21 (=> @t178 (= @t176 @t212)))) % 34.02/34.59 (assume @p178 (forall @t21 (= @t90 @t100))) % 34.02/34.59 (assume @p179 (forall @t6 (=> @t33 (= @t31 @t44)))) % 34.02/34.59 (assume @p180 (forall @t6 (= @t140 (tptp.are_equipotent @t1 @t2)))) % 34.02/34.59 (assume @p181 (forall @t6 (=> @t33 (tptp.ordinal_subset @t1 @t1)))) % 34.02/34.59 (assume @p182 (forall @t6 (tptp.subset @t1 @t1))) % 34.02/34.59 (assume @p183 (forall @t6 (tptp.equipotent @t1 @t1))) % 34.02/34.59 (assume @p184 (forall @t6 (=> @t229 (=> @t228 (exists @t63 (and @t18 @t139 (forall @t51 (= @t50 (and @t103 @t103 (exists @t217 (and (= @t34 @t214) (tptp.in @t46 @t214) (forall @t216 (=> @t215 (tptp.in (tptp.ordered_pair @t46 @t213) @t2)))))))))))))) % 34.02/34.59 (assume @p185 (forall @t11 (=> @t232 (exists @t94 (and @t42 @t189 (forall @t39 (= @t38 (and @t36 @t36 (= @t34 @t202))))))))) % 34.02/34.59 (assume @p186 (forall @t11 (=> (exists @t94 (and @t32 @t3)) (exists @t94 (and @t32 @t3 (forall @t63 (=> @t233 (=> @t36 (tptp.ordinal_subset @t2 @t17))))))))) % 34.02/34.59 (assume @p187 (forall @t21 (=> @t237 (exists @t58 (and @t236 (forall @t119 (= (tptp.in @t118 @t34) (and @t61 @t235 (tptp.in (tptp.ordered_pair @t155 @t234) @t2))))))))) % 34.02/34.59 (assume @p188 (forall @t6 (=> @t229 (=> @t228 (exists @t63 (forall @t58 (= @t57 (exists @t56 (and @t61 @t61 (exists @t217 (and (= @t46 @t214) @t239 @t238))))))))))) % 34.02/34.59 (assume @p189 (forall @t6 (=> @t229 (forall @t63 (=> (forall @t257 (=> (and @t218 (exists @t256 (and (= @t255 @t46) @t254 (exists @t222 (and (= @t225 @t219) (tptp.in @t220 @t219) (forall @t217 (=> (tptp.in @t214 @t219) (tptp.in (tptp.ordered_pair @t220 @t214) @t2))))))) @t253 (exists @t252 (and (= @t251 @t117) (tptp.in @t213 @t1) (exists @t250 (and (= @t213 @t249) (tptp.in @t248 @t249) (forall (@list @t247) (=> (tptp.in @t247 @t249) (tptp.in (tptp.ordered_pair @t248 @t247) @t2)))))))) @t246)) (exists @t58 (forall @t56 (= @t74 (exists @t160 (and (tptp.in @t117 @t245) @t244 (exists (@list @t243 @t241) (and (= (tptp.ordered_pair @t243 @t241) @t46) (tptp.in @t243 @t1) (exists (@list @t242) (and (= @t243 @t242) (tptp.in @t241 @t242) (forall (@list @t240) (=> (tptp.in @t240 @t242) (tptp.in (tptp.ordered_pair @t241 @t240) @t2))))))))))))))))) % 34.02/34.59 (assume @p190 (forall @t11 (=> @t232 (exists @t94 (forall @t63 (= @t98 (exists @t58 (and @t103 @t103 (= @t17 (tptp.singleton @t34)))))))))) % 34.02/34.59 (assume @p191 (forall @t6 (=> (forall @t162 (=> (and @t35 (exists @t262 (and (= @t261 @t34) @t235 (= @t225 (tptp.singleton @t117)))) @t260 (exists (@list @t220 @t219) (and (= (tptp.ordered_pair @t220 @t219) @t46) @t259 (= @t219 (tptp.singleton @t220))))) @t218)) (exists @t63 (forall @t58 (= @t57 (exists @t56 (and (tptp.in @t46 @t19) @t258 (exists (@list @t214 @t213) (and (= (tptp.ordered_pair @t214 @t213) @t34) (tptp.in @t214 @t1) (= @t213 (tptp.singleton @t214)))))))))))) % 34.02/34.59 (assume @p192 (forall @t21 (=> @t237 (=> (forall @t257 (=> (and @t218 (exists @t256 (and (= @t46 @t255) (tptp.in (tptp.ordered_pair @t264 (tptp.apply @t17 @t220)) @t2))) @t253 (exists (@list @t219 @t214) (and (= @t117 (tptp.ordered_pair @t219 @t214)) (tptp.in (tptp.ordered_pair (tptp.apply @t17 @t219) (tptp.apply @t17 @t214)) @t2)))) @t246)) (exists @t58 (forall @t56 (= @t74 (exists @t160 (and (tptp.in @t117 @t263) @t244 (exists @t252 (and (= @t46 @t251) (tptp.in (tptp.ordered_pair (tptp.apply @t17 @t213) (tptp.apply @t17 @t248)) @t2)))))))))))) % 34.02/34.59 (assume @p193 (forall @t11 (=> (forall @t79 (=> (and @t92 @t233 @t110 @t265) @t35)) (exists @t94 (forall @t63 (= @t98 (exists @t58 (and @t103 (= @t34 @t17) @t233)))))))) % 34.02/34.59 (assume @p194 (forall @t6 (=> @t32 (=> (forall @t162 (=> (and @t35 (exists @t160 (and (tptp.ordinal @t117) @t253 @t235)) @t260 (exists @t226 (and (tptp.ordinal @t225) (= @t46 @t225) @t254))) @t218)) (exists @t63 (forall @t58 (= @t57 (exists @t56 (and (tptp.in @t46 @t266) @t258 (exists @t223 (and (tptp.ordinal @t220) (= @t34 @t220) @t259))))))))))) % 34.02/34.59 (assume @p195 (forall @t6 (=> @t229 (forall @t63 (exists @t58 (forall @t56 (= @t74 (and (tptp.in @t46 @t245) (exists @t262 (and (= @t261 @t46) @t235 (exists @t223 (and (= @t117 @t220) (tptp.in @t225 @t220) (forall @t222 (=> @t221 (tptp.in (tptp.ordered_pair @t225 @t219) @t2))))))))))))))) % 34.02/34.59 (assume @p196 (forall @t6 (exists @t63 (forall @t58 (= @t57 (and (tptp.in @t34 @t19) (exists @t119 (and (= @t118 @t34) @t61 (= @t117 (tptp.singleton @t46)))))))))) % 34.02/34.59 (assume @p197 (forall @t21 (=> @t237 (exists @t58 (forall @t56 (= @t74 (and (tptp.in @t46 @t263) (exists @t262 (and (= @t46 @t261) (tptp.in (tptp.ordered_pair @t234 @t264) @t2)))))))))) % 34.02/34.59 (assume @p198 (forall @t11 (exists @t94 (forall @t63 (= @t98 (and @t36 @t233)))))) % 34.02/34.59 (assume @p199 (forall @t6 (=> @t32 (exists @t63 (forall @t58 (= @t57 (and (tptp.in @t34 @t266) (exists @t56 (and (tptp.ordinal @t46) @t218 @t61))))))))) % 34.02/34.59 (assume @p200 (forall @t6 (=> @t229 (=> (and (forall @t162 (=> (and @t36 @t227 @t224) @t218)) (forall @t63 (not (and @t36 (forall @t58 (not (exists @t217 (and (= @t17 @t214) @t239 @t238)))))))) (exists @t63 (and @t18 @t139 @t137 (forall @t58 (=> @t103 (exists (@list @t248) (and (= @t34 @t248) (tptp.in @t156 @t248) (forall @t250 (=> (tptp.in @t249 @t248) (tptp.in (tptp.ordered_pair @t156 @t249) @t2))))))))))))) % 34.02/34.59 (assume @p201 (forall @t11 (=> (and (forall @t79 (=> (and @t3 @t231 @t230) @t35)) (forall @t94 (not (and @t3 (forall @t63 (not @t231)))))) @t269))) % 34.02/34.59 (assume @p202 (forall @t11 @t269)) % 34.02/34.59 (assume @p203 (forall @t6 (=> @t159 (tptp.disjoint @t2 @t1)))) % 34.02/34.59 (assume @p204 (forall @t6 (=> @t140 (tptp.equipotent @t2 @t1)))) % 34.02/34.59 (assume @p205 (forall @t11 (tptp.in @t1 @t97))) % 34.02/34.59 (assume @p206 (forall @t75 (not (and (= @t27 (tptp.unordered_pair @t17 @t34)) (not @t270) (not (= @t1 @t34)))))) % 34.02/34.59 (assume @p207 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t135)))))) % 34.02/34.59 (assume @p208 (forall @t6 (=> @t42 (tptp.subset @t271 @t1)))) % 34.02/34.59 (assume @p209 (forall @t6 (=> @t42 (tptp.subset @t62 @t2)))) % 34.02/34.59 (assume @p210 (forall @t6 (=> @t42 (tptp.subset @t271 @t272)))) % 34.02/34.59 (assume @p211 (forall @t21 (=> @t44 (and (tptp.subset @t245 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 34.02/34.59 (assume @p212 (forall @t6 (=> @t42 (= @t271 (tptp.set_intersection2 @t272 @t1))))) % 34.02/34.59 (assume @p213 (forall @t75 (=> (and @t44 @t106) (tptp.subset @t245 (tptp.cartesian_product2 @t2 @t34))))) % 34.02/34.59 (assume @p214 (forall @t21 (=> @t90 (and (tptp.subset @t136 @t1) (tptp.subset @t135 @t2))))) % 34.02/34.59 (assume @p215 (forall @t6 (=> @t44 (= @t29 @t2)))) % 34.02/34.59 (assume @p216 (forall @t11 (exists @t94 (and @t5 @t275 (forall @t63 (=> @t98 (tptp.in @t274 @t2))) @t273)))) % 34.02/34.59 (assume @p217 (forall @t21 (=> @t18 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t276))))) % 34.02/34.59 (assume @p218 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_image @t17 @t2)) (exists @t58 (and (tptp.in @t34 @t136) (tptp.in (tptp.ordered_pair @t34 @t1) @t17) @t49)))))) % 34.02/34.59 (assume @p219 (forall @t6 (=> @t42 (tptp.subset @t277 @t272)))) % 34.02/34.59 (assume @p220 (forall @t6 (=> @t192 (tptp.subset @t279 @t1)))) % 34.02/34.59 (assume @p221 (forall @t6 (=> @t42 (= @t277 (tptp.relation_image @t2 @t280))))) % 34.02/34.59 (assume @p222 (forall @t6 (=> @t42 (=> (tptp.subset @t1 @t199) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t277)))))) % 34.02/34.59 (assume @p223 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t55) @t144)))) % 34.02/34.59 (assume @p224 (forall @t6 (=> @t192 (=> @t281 (= @t279 @t1))))) % 34.02/34.59 (assume @p225 (forall @t75 (=> @t284 (=> (tptp.subset @t283 @t2) @t282)))) % 34.02/34.59 (assume @p226 (forall @t11 (=> @t16 (forall @t94 (=> @t42 (= @t285 (tptp.relation_image @t2 @t144))))))) % 34.02/34.59 (assume @p227 @t294) % 34.02/34.59 (assume @p228 (forall @t6 (=> @t42 (tptp.subset @t278 @t199)))) % 34.02/34.59 (assume @p229 (forall @t75 (=> @t284 (=> @t44 @t282)))) % 34.02/34.59 (assume @p230 (forall @t21 (=> @t18 (= (tptp.in @t1 @t295) (and @t206 (tptp.in @t1 @t152)))))) % 34.02/34.59 (assume @p231 (forall @t6 (=> @t42 (not (and @t104 @t281 (= @t278 tptp.empty_set)))))) % 34.02/34.59 (assume @p232 (forall @t21 (=> @t18 (=> @t44 (tptp.subset (tptp.relation_inverse_image @t17 @t1) @t290))))) % 34.02/34.59 (assume @p233 (forall @t6 (=> @t42 (= @t296 (tptp.relation_dom_restriction @t62 @t1))))) % 34.02/34.59 (assume @p234 (forall @t6 (tptp.subset @t30 @t1))) % 34.02/34.59 (assume @p235 (forall @t6 (=> @t42 (= @t296 (tptp.relation_rng_restriction @t1 @t297))))) % 34.02/34.59 (assume @p236 (forall @t21 (=> @t18 (=> (tptp.in @t1 (tptp.relation_field @t295)) (and @t299 @t5))))) % 34.02/34.59 (assume @p237 (forall @t21 (=> (and @t44 @t301) (tptp.subset @t1 @t300)))) % 34.02/34.59 (assume @p238 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 34.02/34.59 (assume @p239 (forall @t6 (=> @t5 @t302))) % 34.02/34.59 (assume @p240 (forall @t21 (=> (and @t44 @t303) @t301))) % 34.02/34.59 (assume @p241 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 34.02/34.59 (assume @p242 (forall @t21 (=> @t18 (=> @t305 (and @t304 (tptp.in @t2 @t135)))))) % 34.02/34.59 (assume @p243 (forall @t6 (=> @t42 (and (tptp.subset @t306 @t107) (tptp.subset @t306 @t1))))) % 34.02/34.59 (assume @p244 (forall @t6 (=> @t192 (forall @t63 (=> @t158 (= @t309 (and @t304 (tptp.in @t307 @t199)))))))) % 34.02/34.59 (assume @p245 (forall @t75 (=> @t314 (forall @t56 (=> (and (tptp.relation @t46) (tptp.function @t46)) (=> @t36 (or @t85 (= (tptp.apply (tptp.relation_composition @t34 @t46) @t17) (tptp.apply @t46 @t310))))))))) % 34.02/34.59 (assume @p246 (forall @t11 (=> @t13 (forall @t94 (=> @t32 (=> @t8 @t5)))))) % 34.02/34.59 (assume @p247 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t55 @t144))))) % 34.02/34.59 (assume @p248 (forall @t21 (=> @t18 (tptp.subset (tptp.fiber (tptp.relation_restriction @t17 @t1) @t2) (tptp.fiber @t17 @t2))))) % 34.02/34.59 (assume @p249 (forall @t6 (=> @t192 (forall @t63 (=> @t158 (=> @t309 (= (tptp.apply @t308 @t1) (tptp.apply @t2 @t307)))))))) % 34.02/34.59 (assume @p250 (forall @t21 (=> (tptp.relation_of2_as_subset @t17 @t2 @t1) (= (forall @t58 (not (and @t49 (forall @t56 (not @t50))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t17) @t2))))) % 34.02/34.59 (assume @p251 (forall @t6 (=> @t42 (=> @t315 (tptp.reflexive @t296))))) % 34.02/34.59 (assume @p252 (forall @t6 (=> @t192 (forall @t63 (=> @t158 (=> (tptp.in @t1 @t199) (= (tptp.apply (tptp.relation_composition @t2 @t17) @t1) (tptp.apply @t17 (tptp.apply @t2 @t1))))))))) % 34.02/34.59 (assume @p253 (forall @t6 (=> @t32 (=> @t5 @t15)))) % 34.02/34.59 (assume @p254 (forall @t21 (=> @t90 (= (forall @t58 (not (and @t49 (forall @t56 (not (tptp.in @t71 @t17)))))) (= @t172 @t2))))) % 34.02/34.59 (assume @p255 (forall @t6 (=> @t42 (=> @t316 (tptp.connected @t296))))) % 34.02/34.59 (assume @p256 (forall @t11 (=> @t15 (forall @t94 (=> @t32 (not (and @t198 @t166 @t4))))))) % 34.02/34.59 (assume @p257 (forall @t6 (=> @t42 (=> @t317 (tptp.transitive @t296))))) % 34.02/34.59 (assume @p258 (forall @t11 (=> @t16 (forall @t94 (=> @t42 (=> @t44 (and (tptp.subset @t55 @t199) (tptp.subset @t144 @t272)))))))) % 34.02/34.59 (assume @p259 (forall @t6 (=> @t42 (=> @t318 (tptp.antisymmetric @t296))))) % 34.02/34.59 (assume @p260 (forall @t6 (=> @t42 (=> @t321 (and @t320 @t319))))) % 34.02/34.59 (assume @p261 (forall @t11 (exists @t94 (and @t42 @t321)))) % 34.02/34.59 (assume @p262 (forall @t21 (=> @t44 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t300)))) % 34.02/34.59 (assume @p263 (forall @t11 (=> @t114 (not (and (forall @t94 (not (and @t3 @t85))) (forall @t94 (=> @t192 (not (and @t268 (forall @t63 (=> @t36 (tptp.in @t267 @t17)))))))))))) % 34.02/34.59 (assume @p264 (forall @t6 (=> @t44 (= @t30 @t1)))) % 34.02/34.59 (assume @p265 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 34.02/34.59 (assume @p266 (forall @t6 (=> @t302 (or @t112 @t5)))) % 34.02/34.59 (assume @p267 (forall @t6 (=> (forall @t63 (= @t36 @t98)) @t45))) % 34.02/34.59 (assume @p268 (forall @t11 (tptp.reflexive @t108))) % 34.02/34.59 (assume @p269 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 34.02/34.59 (assume @p270 (forall @t21 (=> @t18 (=> @t305 (and @t299 (tptp.in @t2 @t298)))))) % 34.02/34.59 (assume @p271 (forall @t11 (=> (forall @t94 (=> @t3 (and @t32 @t43))) @t15))) % 34.02/34.59 (assume @p272 (forall @t6 (=> @t42 (=> @t322 (tptp.well_founded_relation @t296))))) % 34.02/34.59 (assume @p273 (forall @t6 (=> @t32 (not (and @t44 @t104 (forall @t63 (=> @t233 (not (and @t36 (forall @t58 (=> @t265 (=> @t103 (tptp.ordinal_subset @t17 @t34))))))))))))) % 34.02/34.59 (assume @p274 (forall @t6 (=> @t42 (=> @t200 @t319)))) % 34.02/34.59 (assume @p275 (forall @t11 (=> @t15 (forall @t94 (=> @t32 (= @t5 (tptp.ordinal_subset @t97 @t2))))))) % 34.02/34.59 (assume @p276 (forall @t21 (=> @t44 (tptp.subset (tptp.set_difference @t1 @t17) @t212)))) % 34.02/34.59 (assume @p277 (forall @t75 (=> (= @t148 @t37) (and @t270 @t110)))) % 34.02/34.59 (assume @p278 (forall @t6 (=> @t192 (= @t41 (and @t268 (forall @t63 (=> @t36 (= @t267 @t17)))))))) % 34.02/34.59 (assume @p279 (forall @t6 (=> @t3 (= (tptp.apply @t40 @t2) @t2)))) % 34.02/34.59 (assume @p280 (forall @t6 (tptp.subset @t142 @t1))) % 34.02/34.59 (assume @p281 (forall @t11 (=> @t16 (and (= @t144 (tptp.relation_dom @t154)) (= @t55 (tptp.relation_rng @t154)))))) % 34.02/34.59 (assume @p282 (forall @t21 (= (tptp.subset @t27 @t17) (and @t206 @t122)))) % 34.02/34.59 (assume @p283 (forall @t6 (=> @t42 (=> (and @t200 (tptp.subset @t1 @t107)) @t320)))) % 34.02/34.59 (assume @p284 (forall @t6 (= @t323 @t29))) % 34.02/34.59 (assume @p285 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 34.02/34.59 (assume @p286 (forall @t21 (not (and @t5 @t122 @t36)))) % 34.02/34.59 (assume @p287 (forall @t6 (= @t207 @t44))) % 34.02/34.59 (assume @p288 (forall @t11 (tptp.transitive @t108))) % 34.02/34.59 (assume @p289 (forall @t6 (and (not (and @t325 (forall @t63 (not @t324)))) (not (and (exists @t63 @t324) @t159))))) % 34.02/34.59 (assume @p290 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t83))) % 34.02/34.59 (assume @p291 (forall @t6 (= (tptp.set_difference @t29 @t2) @t142))) % 34.02/34.59 (assume @p292 (forall @t11 (=> @t15 (= @t151 (forall @t94 (=> @t32 (=> @t3 (tptp.in @t266 @t1)))))))) % 34.02/34.59 (assume @p293 (forall @t11 (=> @t15 (and (not (and (not @t151) (forall @t94 (=> @t32 (not @t326))))) (not (and (exists @t94 (and @t32 @t326)) @t151)))))) % 34.02/34.59 (assume @p294 (forall @t6 (=> @t147 (forall @t63 (=> @t177 (= @t328 (tptp.subset @t2 @t327))))))) % 34.02/34.59 (assume @p295 (forall @t11 (=> @t16 (forall @t94 (=> @t42 (tptp.subset @t329 @t55)))))) % 34.02/34.59 (assume @p296 (forall @t11 (=> @t16 (forall @t94 (=> @t42 (tptp.subset @t285 @t272)))))) % 34.02/34.59 (assume @p297 (forall @t6 (=> @t44 (= @t2 @t323)))) % 34.02/34.59 (assume @p298 @t334) % 34.02/34.59 (assume @p299 (forall @t11 (=> @t16 (forall @t94 (=> @t42 (=> (tptp.subset @t144 @t199) (= @t329 @t55))))))) % 34.02/34.59 (assume @p300 (forall @t6 (=> @t165 (not (and @t115 (= @t163 tptp.empty_set)))))) % 34.02/34.59 (assume @p301 (forall @t11 (=> @t16 (forall @t94 (=> @t42 (=> (tptp.subset @t55 @t272) (= (tptp.relation_rng @t182) @t144))))))) % 34.02/34.59 (assume @p302 (forall @t6 (=> @t165 (=> @t115 (= (tptp.subset_difference @t1 @t131 @t173) (tptp.meet_of_subsets @t1 @t163)))))) % 34.02/34.59 (assume @p303 (forall @t6 (=> @t165 (=> @t115 (= (tptp.union_of_subsets @t1 @t163) (tptp.subset_difference @t1 @t131 @t175)))))) % 34.02/34.59 (assume @p304 (forall @t6 (= (tptp.set_difference @t1 @t142) @t30))) % 34.02/34.59 (assume @p305 (forall @t11 (=> @t16 (forall @t94 (=> @t42 (forall @t63 (=> @t158 (=> @t157 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t17)))))))))) % 34.02/34.59 (assume @p306 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 34.02/34.59 (assume @p307 (forall @t21 (=> (and @t5 @t335) (tptp.element @t1 @t17)))) % 34.02/34.59 (assume @p308 (forall @t11 (=> @t15 (tptp.connected @t108)))) % 34.02/34.59 (assume @p309 (forall @t6 (and (not (and @t325 (forall @t63 (not @t336)))) (not (and (exists @t63 @t336) @t159))))) % 34.02/34.59 (assume @p310 (forall @t11 (=> @t104 (forall @t94 (=> @t147 (forall @t63 (=> (tptp.element @t17 @t1) (=> @t120 (tptp.in @t17 @t146))))))))) % 34.02/34.59 (assume @p311 (forall @t11 (=> @t16 (forall @t94 (=> @t42 (forall @t63 (=> @t158 (=> @t157 (and (=> @t133 @t315) (=> @t73 @t317) (=> @t72 @t316) (=> @t65 @t318) (=> @t116 @t322)))))))))) % 34.02/34.59 (assume @p312 (forall @t11 (=> @t60 (=> @t23 (forall @t94 (=> @t192 (= (= @t2 @t167) (and (= @t199 @t144) (forall @t39 (and (=> @t337 @t143) (=> @t143 @t337))))))))))) % 34.02/34.59 (assume @p313 (forall @t21 (=> @t177 (not (and (tptp.in @t2 @t327) @t122))))) % 34.02/34.59 (assume @p314 (forall @t11 (=> @t16 (forall @t94 (=> @t42 (forall @t63 (=> @t158 (=> (and @t134 @t157) @t200)))))))) % 34.02/34.59 (assume @p315 (forall @t11 (=> @t60 (=> @t23 (and (= @t144 (tptp.relation_dom @t167)) (= @t55 (tptp.relation_rng @t167))))))) % 34.02/34.59 (assume @p316 (forall @t11 (=> @t16 (=> (forall @t53 @t203) @t83)))) % 34.02/34.59 (assume @p317 (forall @t6 (=> @t192 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t272)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t338 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t338 @t2) @t1))))))) % 34.02/34.59 (assume @p318 (forall @t21 (not (and @t5 @t335 (tptp.empty @t17))))) % 34.02/34.59 (assume @p319 (forall @t11 (=> @t16 (= @t116 (tptp.is_well_founded_in @t1 @t64))))) % 34.02/34.59 (assume @p320 (forall @t11 (tptp.antisymmetric @t108))) % 34.02/34.59 (assume @p321 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 34.02/34.59 (assume @p322 (forall @t6 (not (and @t44 @t7)))) % 34.02/34.59 (assume @p323 (forall @t11 (=> @t60 (=> @t23 (tptp.one_to_one @t167))))) % 34.02/34.59 (assume @p324 (forall @t21 (=> (and @t44 @t328) (tptp.disjoint @t1 @t17)))) % 34.02/34.59 (assume @p325 (forall @t11 (=> @t16 (=> (or @t340 @t339) @t83)))) % 34.02/34.59 (assume @p326 (forall @t11 (=> @t16 (= @t340 @t339)))) % 34.02/34.59 (assume @p327 (forall @t6 (= (= (tptp.set_difference @t1 @t204) @t1) @t4))) % 34.02/34.59 (assume @p328 (forall @t6 (=> @t192 (forall @t63 (=> @t158 (= (= @t2 @t208) (and (= @t199 (tptp.set_intersection2 @t136 @t1)) (forall @t58 (=> (tptp.in @t34 @t199) (= (tptp.apply @t2 @t34) @t156)))))))))) % 34.02/34.59 (assume @p329 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t96))) % 34.02/34.59 (assume @p330 (forall @t11 (=> @t10 @t83))) % 34.02/34.59 (assume @p331 (forall @t75 (=> @t314 (=> @t36 (or @t85 (tptp.in @t310 @t283)))))) % 34.02/34.59 (assume @p332 (forall @t11 (=> @t15 (tptp.well_founded_relation @t108)))) % 34.02/34.59 (assume @p333 (forall @t6 (=> (tptp.subset @t96 @t204) @t45))) % 34.02/34.59 (assume @p334 (forall @t21 (=> @t158 (=> @t209 @t341)))) % 34.02/34.59 (assume @p335 (forall @t11 (and (= (tptp.relation_dom @t40) @t1) (= (tptp.relation_rng @t40) @t1)))) % 34.02/34.59 (assume @p336 (forall @t21 (=> @t158 (=> @t3 @t341)))) % 34.02/34.59 (assume @p337 (forall @t75 (=> @t236 (= (tptp.in @t148 (tptp.relation_composition (tptp.identity_relation @t17) @t34)) (and @t206 (tptp.in @t148 @t34)))))) % 34.02/34.59 (assume @p338 (forall @t6 (not (and @t5 @t112)))) % 34.02/34.59 (assume @p339 (forall @t6 (and (= (tptp.pair_first @t148) @t1) (= (tptp.pair_second @t148) @t2)))) % 34.02/34.59 (assume @p340 (forall @t6 (not (and @t5 (forall @t63 (not (and @t98 (forall @t58 (not (and @t49 @t57)))))))))) % 34.02/34.59 (assume @p341 (forall @t11 (=> @t15 (tptp.well_ordering @t108)))) % 34.02/34.59 (assume @p342 (forall @t6 (tptp.subset @t1 @t29))) % 34.02/34.59 (assume @p343 (forall @t6 (= @t159 (= @t142 @t1)))) % 34.02/34.59 (assume @p344 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_dom @t276)) (and @t5 @t304))))) % 34.02/34.59 (assume @p345 (forall @t6 (=> @t42 (tptp.subset @t297 @t2)))) % 34.02/34.59 (assume @p346 (forall @t6 (not (and @t10 @t166 @t112)))) % 34.02/34.59 (assume @p347 @t343) % 34.02/34.59 (assume @p348 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t64) @t134)))) % 34.02/34.59 (assume @p349 (forall @t21 (=> (and @t44 @t124) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 34.02/34.59 (assume @p350 (forall @t21 (=> @t344 @t45))) % 34.02/34.59 (assume @p351 (forall @t6 (=> @t42 (= (tptp.relation_dom @t297) @t280)))) % 34.02/34.59 (assume @p352 (forall @t6 (=> @t42 (= @t297 (tptp.relation_composition @t40 @t2))))) % 34.02/34.59 (assume @p353 (forall @t6 (=> @t42 (tptp.subset (tptp.relation_rng @t297) @t272)))) % 34.02/34.59 (assume @p354 (forall @t11 (= (tptp.union @t109) @t1))) % 34.02/34.59 (assume @p355 (forall @t75 (=> @t314 (=> @t303 (or @t345 (and @t313 (tptp.quasi_total @t34 @t1 @t17) (tptp.relation_of2_as_subset @t34 @t1 @t17))))))) % 34.02/34.59 (assume @p356 (forall @t11 (exists @t94 (and @t5 @t275 (forall @t63 (not (and @t98 (forall @t58 (not (and @t49 (forall @t56 (=> (tptp.subset @t46 @t17) @t74)))))))) @t273)))) % 34.02/34.59 (assume @p357 (forall @t21 (=> @t344 @t92))) % 34.02/34.59 (step @p358 :rule quant-merge-prenex :args ((= (forall @t75 @t354) @t352))) % 34.02/34.59 (step @p359 :rule alpha_equiv :args (@t355 (@list @t346) (@list @t46))) % 34.02/34.59 (step @p360 :rule refl :args (@t85)) % 34.02/34.59 (step @p361 :rule refl :args (@t348)) % 34.02/34.59 (step @p362 :rule refl :args (@t349)) % 34.02/34.59 (step @p363 :rule refl :args (@t350)) % 34.02/34.59 (step @p364 :rule nary_cong :premises (@p363 @p362 @p361 @p360 @p359) :args (@t356)) % 34.02/34.59 (step @p365 :rule quant-miniscope-or :args ((= @t354 @t356))) % 34.02/34.59 (step @p366 :rule trans :premises (@p365 @p364)) % 34.02/34.59 (step @p367 :rule symm :premises (@p366)) % 34.02/34.59 (step @p368 :rule cong :premises (@p367) :args ((forall @t75 @t357))) % 34.02/34.59 (step @p369 :rule trans :premises (@p368 @p358)) % 34.02/34.59 (step @p370 :rule aci_norm :args ((= (or @t358 (or @t85 @t331)) @t357))) % 34.02/34.59 (step @p371 :rule refl :args (@t331)) % 34.02/34.59 (step @p372 :rule bool-double-not-elim :args (@t85)) % 34.02/34.59 (step @p373 :rule nary_cong :premises (@p372 @p371) :args ((or (not @t115) @t331))) % 34.02/34.59 (step @p374 :rule bool-impl-elim :args (@t115 @t331)) % 34.02/34.59 (step @p375 :rule trans :premises (@p374 @p373)) % 34.02/34.59 (step @p376 :rule aci_norm :args ((= (or @t350 (or @t349 @t348)) @t358))) % 34.02/34.59 (step @p377 :rule bool-and-de-morgan :args (@t312 @t311 true)) % 34.02/34.59 (step @p378 :rule nary_cong :premises (@p363 @p377) :args ((or @t350 (not (and @t312 @t311))))) % 34.02/34.59 (step @p379 :rule bool-and-de-morgan :args (@t313 @t312 (and @t311))) % 34.02/34.59 (step @p380 :rule trans :premises (@p379 @p378)) % 34.02/34.59 (step @p381 :rule trans :premises (@p380 @p376)) % 34.02/34.59 (step @p382 :rule nary_cong :premises (@p381 @p375) :args ((or (not @t314) @t332))) % 34.02/34.59 (step @p383 :rule trans :premises (@p382 @p370)) % 34.02/34.59 (step @p384 :rule bool-impl-elim :args (@t314 @t332)) % 34.02/34.59 (step @p385 :rule trans :premises (@p384 @p383)) % 34.02/34.59 (step @p386 :rule cong :premises (@p385) :args (@t333)) % 34.02/34.59 (step @p387 :rule trans :premises (@p386 @p369)) % 34.02/34.59 (step @p388 :rule cong :premises (@p387) :args (@t334)) % 34.02/34.59 (step @p389 :rule eq_resolve :premises (@p298 @p388)) % 34.02/34.59 (step @p390 :rule refl :args (@t379)) % 34.02/34.59 (step @p391 :rule bool-double-not-elim :args (@t352)) % 34.02/34.59 (step @p392 :rule nary_cong :premises (@p391 @p390) :args ((or (not @t380) @t379))) % 34.02/34.59 (step @p393 :rule refl :args (@t369)) % 34.02/34.59 (step @p394 :rule eq-symm :args (@t370 tptp.empty_set)) % 34.02/34.59 (step @p395 :rule refl :args (@t373)) % 34.02/34.59 (step @p396 :rule refl :args (@t375)) % 34.02/34.59 (step @p397 :rule refl :args (@t377)) % 34.02/34.59 (step @p398 :rule nary_cong :premises (@p397 @p396 @p395 @p394 @p393) :args (@t382)) % 34.02/34.59 (step @p399 :rule cong :premises (@p398) :args (@t383)) % 34.02/34.59 (step @p400 :rule refl :args (@t380)) % 34.02/34.59 (step @p401 :rule cong :premises (@p400 @p399) :args ((=> @t380 @t383))) % 34.02/34.59 (assume-push @p722 @t380) % 34.02/34.59 (step @p403 :rule skolemize :premises (@p389)) % 34.02/34.59 (step-pop @p723 :rule scope :premises (@p403)) % 34.02/34.59 (step @p404 :rule process_scope :premises (@p723) :args (@t383)) % 34.02/34.59 (step @p406 :rule eq_resolve :premises (@p404 @p401)) % 34.02/34.59 (step @p407 :rule implies_elim :premises (@p406)) % 34.02/34.59 (step @p408 :rule eq_resolve :premises (@p407 @p392)) % 34.02/34.59 (step @p409 :rule chain_m_resolution :premises (@p408 @p389) :args (@t379 @t384 (@list @t352))) % 34.02/34.59 (step @p410 :rule cnf_or_neg :args (@t378 4)) % 34.02/34.59 (step @p411 :rule chain_m_resolution :premises (@p410 @p409) :args ((not @t369) @t384 @t385)) % 34.02/34.59 (step @p412 :rule cnf_equiv_neg2 :args (@t369)) % 34.02/34.59 (step @p413 :rule bool-impl-elim :args (@t18 @t389)) % 34.02/34.59 (step @p414 :rule cong :premises (@p413) :args ((forall @t21 (=> @t18 @t389)))) % 34.02/34.59 (step @p415 :rule aci_norm :args ((= (or @t387 (or @t386 @t141)) @t388))) % 34.02/34.59 (step @p416 :rule bool-and-de-morgan :args (@t286 @t49 true)) % 34.02/34.59 (step @p417 :rule refl :args (@t387)) % 34.02/34.59 (step @p418 :rule nary_cong :premises (@p417 @p416) :args ((or @t387 (not (and @t286 @t49))))) % 34.02/34.59 (step @p419 :rule bool-and-de-morgan :args (@t287 @t286 (and @t49))) % 34.02/34.59 (step @p420 :rule trans :premises (@p419 @p418)) % 34.02/34.59 (step @p421 :rule trans :premises (@p420 @p415)) % 34.02/34.59 (step @p422 :rule cong :premises (@p421) :args (@t390)) % 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34.02/34.59 (step @p625 :rule process_scope :premises (@p747) :args (@t363)) % 34.02/34.59 (step @p628 :rule and_intro :premises (@p742 @p743)) % 34.02/34.59 (step @p629 :rule modus_ponens :premises (@p628 @p625)) % 34.02/34.59 (step-pop @p748 :rule scope :premises (@p629)) % 34.02/34.59 (step-pop @p749 :rule scope :premises (@p748)) % 34.02/34.59 (step @p630 :rule process_scope :premises (@p749) :args (@t363)) % 34.02/34.59 (step @p633 :rule implies_elim :premises (@p630)) % 34.02/34.59 (step @p634 :rule cnf_and_neg :args (@t458)) % 34.02/34.59 (step @p635 :rule resolution :premises (@p634 @p633) :args (true @t458)) % 34.02/34.59 (step @p636 :rule reordering :premises (@p635) :args ((or @t363 @t408 (not @t422)))) % 34.02/34.59 (step @p637 :rule cnf_and_neg :args (@t366)) % 34.02/34.59 (step @p638 :rule chain_m_resolution :premises (@p637 @p636 @p615 @p589 @p578 @p519 @p517 @p515 @p513 @p479 @p474 @p468 @p459 @p457 @p412 @p411) :args (@t405 (@list false false false false false false false false false false true true false true true) (@list @t363 @t365 @t453 @t436 @t422 @t417 @t423 @t424 @t407 @t409 @t411 @t400 @t402 @t366 @t369))) % 34.02/34.59 (step @p639 :rule cnf_equiv_neg1 :args (@t369)) % 34.02/34.59 (step @p640 :rule reordering :premises (@p639) :args ((or @t368 @t366 @t369))) % 34.02/34.59 (step @p641 :rule chain_m_resolution :premises (@p640 @p638 @p411) :args (@t366 (@list true true) (@list @t368 @t369))) % 34.02/34.59 (step @p642 :rule cnf_and_pos :args (@t366 0)) % 34.02/34.59 (step @p643 :rule reordering :premises (@p642) :args ((or @t365 @t459))) % 34.02/34.59 (step @p644 :rule chain_m_resolution :premises (@p643 @p641) :args (@t365 @t426 @t460)) % 34.02/34.59 (assume-push @p750 @t365) % 34.02/34.59 (assume-push @p751 @t436) % 34.02/34.59 (assume-push @p752 @t453) % 34.02/34.59 (assume-push @p753 @t365) % 34.02/34.59 (assume-push @p754 @t436) % 34.02/34.59 (assume-push @p755 @t453) % 34.02/34.59 (step @p651 :rule true_intro :premises (@p750)) % 34.02/34.59 (step @p652 :rule symm :premises (@p578)) % 34.02/34.59 (step @p653 :rule symm :premises (@p589)) % 34.02/34.59 (step @p654 :rule trans :premises (@p653 @p652)) % 34.02/34.59 (step @p598 :rule refl :args (@t360)) % 34.02/34.59 (step @p655 :rule cong :premises (@p598 @p654) :args (@t417)) % 34.02/34.59 (step @p656 :rule trans :premises (@p655 @p651)) % 34.02/34.59 (step @p657 :rule true_elim :premises (@p656)) % 34.02/34.59 (step-pop @p756 :rule scope :premises (@p657)) % 34.02/34.59 (step-pop @p757 :rule scope :premises (@p756)) % 34.02/34.59 (step-pop @p758 :rule scope :premises (@p757)) % 34.02/34.59 (step @p658 :rule process_scope :premises (@p758) :args (@t417)) % 34.02/34.59 (step @p662 :rule and_intro :premises (@p750 @p578 @p589)) % 34.02/34.59 (step @p663 :rule modus_ponens :premises (@p662 @p658)) % 34.02/34.59 (step-pop @p759 :rule scope :premises (@p663)) % 34.02/34.59 (step-pop @p760 :rule scope :premises (@p759)) % 34.02/34.59 (step-pop @p761 :rule scope :premises (@p760)) % 34.02/34.59 (step @p664 :rule process_scope :premises (@p761) :args (@t417)) % 34.02/34.59 (step @p668 :rule implies_elim :premises (@p664)) % 34.02/34.59 (step @p669 :rule cnf_and_neg :args (@t461)) % 34.02/34.59 (step @p670 :rule resolution :premises (@p669 @p668) :args (true @t461)) % 34.02/34.59 (step @p671 :rule chain_m_resolution :premises (@p670 @p644 @p578 @p589) :args (@t417 @t427 (@list @t365 @t436 @t453))) % 34.02/34.59 (step @p672 :rule cnf_and_pos :args (@t366 1)) % 34.02/34.59 (step @p673 :rule reordering :premises (@p672) :args ((or @t363 @t459))) % 34.02/34.59 (step @p674 :rule chain_m_resolution :premises (@p673 @p641) :args (@t363 @t426 @t460)) % 34.02/34.59 (step @p675 :rule cnf_and_neg :args (@t462)) % 34.02/34.59 (step @p676 :rule reordering :premises (@p675) :args ((or (not @t363) @t457 @t462))) % 34.02/34.59 (step @p677 :rule chain_m_resolution :premises (@p676 @p674 @p671) :args (@t462 @t395 (@list @t363 @t417))) % 34.02/34.59 (step @p678 :rule quant-merge-prenex :args ((= (forall @t11 @t471) @t469))) % 34.02/34.59 (step @p679 :rule alpha_equiv :args (@t472 (@list @t463 @t464) (@list @t2 @t17))) % 34.02/34.59 (step @p680 :rule refl :args (@t466)) % 34.02/34.59 (step @p681 :rule refl :args (@t467)) % 34.02/34.59 (step @p682 :rule nary_cong :premises (@p681 @p680 @p679) :args (@t473)) % 34.02/34.59 (step @p683 :rule quant-miniscope-or :args ((= @t471 @t473))) % 34.02/34.59 (step @p684 :rule trans :premises (@p683 @p682)) % 34.02/34.59 (step @p685 :rule symm :premises (@p684)) % 34.02/34.59 (step @p686 :rule cong :premises (@p685) :args ((forall @t11 @t474))) % 34.02/34.59 (step @p687 :rule trans :premises (@p686 @p678)) % 34.02/34.59 (step @p688 :rule aci_norm :args ((= (or (or @t467 @t466) @t69) @t474))) % 34.02/34.59 (step @p689 :rule refl :args (@t69)) % 34.02/34.59 (step @p690 :rule bool-and-de-morgan :args (@t16 @t9 true)) % 34.02/34.59 (step @p691 :rule nary_cong :premises (@p690 @p689) :args ((or (not @t60) @t69))) % 34.02/34.59 (step @p692 :rule trans :premises (@p691 @p688)) % 34.02/34.59 (step @p693 :rule bool-impl-elim :args (@t60 @t69)) % 34.02/34.59 (step @p694 :rule trans :premises (@p693 @p692)) % 34.02/34.59 (step @p695 :rule cong :premises (@p694) :args (@t70)) % 34.02/34.59 (step @p696 :rule trans :premises (@p695 @p687)) % 34.02/34.59 (step @p697 :rule eq_resolve :premises (@p20 @p696)) % 34.02/34.59 (step @p698 :rule bool-eq-true :args (@t475)) % 34.02/34.59 (step @p699 :rule eq-symm :args (true @t475)) % 34.02/34.59 (step @p700 :rule trans :premises (@p699 @p698)) % 34.02/34.59 (step @p701 :rule refl :args (@t475)) % 34.02/34.59 (step @p702 :rule eq-refl :args (@t367)) % 34.02/34.59 (step @p703 :rule cong :premises (@p702 @p701) :args (@t476)) % 34.02/34.59 (step @p704 :rule trans :premises (@p703 @p700)) % 34.02/34.59 (step @p705 :rule nary_cong :premises (@p494 @p397 @p704) :args (@t477)) % 34.02/34.59 (step @p706 :rule refl :args (@t469)) % 34.02/34.59 (step @p707 :rule cong :premises (@p706 @p705) :args ((=> @t469 @t477))) % 34.02/34.59 (assume-push @p762 @t469) % 34.02/34.59 (step @p709 :rule instantiate :premises (@p697) :args ((@list @t361 @t359 @t367))) % 34.02/34.59 (step-pop @p763 :rule scope :premises (@p709)) % 34.02/34.59 (step @p710 :rule process_scope :premises (@p763) :args (@t477)) % 34.02/34.59 (step @p712 :rule eq_resolve :premises (@p710 @p707)) % 34.02/34.59 (step @p713 :rule implies_elim :premises (@p712)) % 34.02/34.59 (step @p714 :rule chain_m_resolution :premises (@p713 @p697) :args (@t478 @t426 (@list @t469))) % 34.02/34.59 (step @p715 :rule cnf_or_pos :args (@t478)) % 34.02/34.59 (step @p716 :rule reordering :premises (@p715) :args ((or @t377 @t403 @t475 (not @t478)))) % 34.02/34.59 (step @p717 :rule chain_m_resolution :premises (@p716 @p510 @p454 @p714) :args (@t475 @t427 (@list @t376 @t396 @t478))) % 34.02/34.59 (step @p718 :rule instantiate :premises (@p717) :args ((@list @t360))) % 34.02/34.59 (step @p719 :rule cnf_equiv_pos2 :args (@t479)) % 34.02/34.59 (step @p720 :rule reordering :premises (@p719) :args ((or @t368 (not @t462) (not @t479)))) % 34.02/34.59 (step @p721 false :rule chain_m_resolution :premises (@p720 @p718 @p677 @p638) :args (false (@list false false true) (@list @t479 @t462 @t368))) % 34.02/34.59 ) % 34.02/34.59 % SZS output end Proof % 34.02/34.59 % cvc5 exiting %------------------------------------------------------------------------------