%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU271+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 : n025.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 08:51:12 AM UTC 2026 % Result : Theorem 35.03s 35.28s % Output : Proof 35.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU271+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 : n025.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:50:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.57 %----Proving TF0_NAR, FOF, or CNF % 35.03/35.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.03/35.28 --- Run --no-e-matching --full-saturate-quant at 6... % 35.03/35.28 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.03/35.28 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.03/35.28 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.03/35.28 % SZS status Theorem % 35.03/35.28 % SZS output start Proof % 35.03/35.28 ( % 35.03/35.28 (declare-sort $$unsorted 0) % 35.03/35.28 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.empty_set $$unsorted) % 35.03/35.28 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.empty (-> $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.function (-> $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.connected (-> $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.relation (-> $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.transitive (-> $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 35.03/35.28 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.03/35.28 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 35.03/35.28 (define @t1 () (@var "A" $$unsorted)) % 35.03/35.28 (define @t2 () (@var "B" $$unsorted)) % 35.03/35.28 (define @t3 () (tptp.in @t2 @t1)) % 35.03/35.28 (define @t4 () (not @t3)) % 35.03/35.28 (define @t5 () (tptp.in @t1 @t2)) % 35.03/35.28 (define @t6 () (@list @t1 @t2)) % 35.03/35.28 (define @t7 () (tptp.proper_subset @t2 @t1)) % 35.03/35.28 (define @t8 () (tptp.proper_subset @t1 @t2)) % 35.03/35.28 (define @t9 () (tptp.function @t1)) % 35.03/35.28 (define @t10 () (tptp.empty @t1)) % 35.03/35.28 (define @t11 () (@list @t1)) % 35.03/35.28 (define @t12 () (tptp.epsilon_connected @t1)) % 35.03/35.28 (define @t13 () (tptp.epsilon_transitive @t1)) % 35.03/35.28 (define @t14 () (and @t13 @t12)) % 35.03/35.28 (define @t15 () (tptp.ordinal @t1)) % 35.03/35.28 (define @t16 () (tptp.relation @t1)) % 35.03/35.28 (define @t17 () (@var "C" $$unsorted)) % 35.03/35.28 (define @t18 () (tptp.relation @t17)) % 35.03/35.28 (define @t19 () (tptp.cartesian_product2 @t1 @t2)) % 35.03/35.28 (define @t20 () (tptp.element @t17 (tptp.powerset @t19))) % 35.03/35.28 (define @t21 () (@list @t1 @t2 @t17)) % 35.03/35.28 (define @t22 () (tptp.one_to_one @t1)) % 35.03/35.28 (define @t23 () (and @t16 @t9 @t22)) % 35.03/35.28 (define @t24 () (and @t16 @t10 @t9)) % 35.03/35.28 (define @t25 () (and @t13 @t12 @t15)) % 35.03/35.28 (define @t26 () (tptp.unordered_pair @t1 @t2)) % 35.03/35.28 (define @t27 () (tptp.set_union2 @t2 @t1)) % 35.03/35.28 (define @t28 () (tptp.set_union2 @t1 @t2)) % 35.03/35.28 (define @t29 () (tptp.set_intersection2 @t1 @t2)) % 35.03/35.28 (define @t30 () (tptp.ordinal_subset @t1 @t2)) % 35.03/35.28 (define @t31 () (tptp.ordinal @t2)) % 35.03/35.28 (define @t32 () (and @t15 @t31)) % 35.03/35.28 (define @t33 () (@var "D" $$unsorted)) % 35.03/35.28 (define @t34 () (= @t17 @t33)) % 35.03/35.28 (define @t35 () (tptp.in @t17 @t1)) % 35.03/35.28 (define @t36 () (tptp.ordered_pair @t17 @t33)) % 35.03/35.28 (define @t37 () (tptp.in @t36 @t2)) % 35.03/35.28 (define @t38 () (@list @t17 @t33)) % 35.03/35.28 (define @t39 () (tptp.identity_relation @t1)) % 35.03/35.28 (define @t40 () (= @t2 @t39)) % 35.03/35.28 (define @t41 () (tptp.relation @t2)) % 35.03/35.28 (define @t42 () (tptp.subset @t2 @t1)) % 35.03/35.28 (define @t43 () (tptp.subset @t1 @t2)) % 35.03/35.28 (define @t44 () (= @t1 @t2)) % 35.03/35.28 (define @t45 () (@var "E" $$unsorted)) % 35.03/35.28 (define @t46 () (tptp.ordered_pair @t33 @t45)) % 35.03/35.28 (define @t47 () (tptp.in @t46 @t1)) % 35.03/35.28 (define @t48 () (tptp.in @t33 @t2)) % 35.03/35.28 (define @t49 () (tptp.in @t46 @t17)) % 35.03/35.28 (define @t50 () (@list @t33 @t45)) % 35.03/35.28 (define @t51 () (tptp.relation_dom_restriction @t1 @t2)) % 35.03/35.28 (define @t52 () (@list @t2 @t17)) % 35.03/35.28 (define @t53 () (tptp.in @t45 @t2)) % 35.03/35.28 (define @t54 () (tptp.relation_dom @t1)) % 35.03/35.28 (define @t55 () (@list @t45)) % 35.03/35.28 (define @t56 () (tptp.in @t33 @t17)) % 35.03/35.28 (define @t57 () (@list @t33)) % 35.03/35.28 (define @t58 () (= @t17 (tptp.relation_image @t1 @t2))) % 35.03/35.28 (define @t59 () (and @t16 @t9)) % 35.03/35.28 (define @t60 () (tptp.in @t45 @t1)) % 35.03/35.28 (define @t61 () (tptp.relation_rng_restriction @t1 @t2)) % 35.03/35.28 (define @t62 () (@list @t17)) % 35.03/35.28 (define @t63 () (tptp.relation_field @t1)) % 35.03/35.28 (define @t64 () (tptp.antisymmetric @t1)) % 35.03/35.28 (define @t65 () (tptp.apply @t1 @t33)) % 35.03/35.28 (define @t66 () (tptp.in @t33 @t54)) % 35.03/35.28 (define @t67 () (= @t17 (tptp.relation_inverse_image @t1 @t2))) % 35.03/35.28 (define @t68 () (tptp.ordered_pair @t45 @t33)) % 35.03/35.28 (define @t69 () (tptp.connected @t1)) % 35.03/35.28 (define @t70 () (tptp.transitive @t1)) % 35.03/35.28 (define @t71 () (tptp.in @t45 @t33)) % 35.03/35.28 (define @t72 () (@list @t1 @t2 @t17 @t33)) % 35.03/35.28 (define @t73 () (= @t2 @t17)) % 35.03/35.28 (define @t74 () (= @t1 @t36)) % 35.03/35.28 (define @t75 () (@list @t2)) % 35.03/35.28 (define @t76 () (tptp.ordered_pair @t2 @t17)) % 35.03/35.28 (define @t77 () (exists @t52 (= @t1 @t76))) % 35.03/35.28 (define @t78 () (tptp.singleton @t1)) % 35.03/35.28 (define @t79 () (tptp.succ @t1)) % 35.03/35.28 (define @t80 () (tptp.in @t17 @t2)) % 35.03/35.28 (define @t81 () (tptp.is_reflexive_in @t1 @t2)) % 35.03/35.28 (define @t82 () (tptp.relation_of2 @t17 @t1 @t2)) % 35.03/35.28 (define @t83 () (= @t2 tptp.empty_set)) % 35.03/35.28 (define @t84 () (= @t2 (tptp.set_meet @t1))) % 35.03/35.28 (define @t85 () (= @t1 tptp.empty_set)) % 35.03/35.28 (define @t86 () (tptp.in @t17 @t33)) % 35.03/35.28 (define @t87 () (tptp.in @t33 @t1)) % 35.03/35.28 (define @t88 () (not @t85)) % 35.03/35.28 (define @t89 () (= @t33 @t2)) % 35.03/35.28 (define @t90 () (tptp.subset @t17 @t33)) % 35.03/35.28 (define @t91 () (= @t37 @t90)) % 35.03/35.28 (define @t92 () (and @t35 @t87)) % 35.03/35.28 (define @t93 () (forall @t38 (=> @t92 @t91))) % 35.03/35.28 (define @t94 () (tptp.relation_field @t2)) % 35.03/35.28 (define @t95 () (and (= @t94 @t1) @t93)) % 35.03/35.28 (define @t96 () (tptp.inclusion_relation @t1)) % 35.03/35.28 (define @t97 () (= @t2 @t96)) % 35.03/35.28 (define @t98 () (= @t97 @t95)) % 35.03/35.28 (define @t99 () (=> @t41 @t98)) % 35.03/35.28 (define @t100 () (forall @t6 @t99)) % 35.03/35.28 (define @t101 () (tptp.powerset @t1)) % 35.03/35.28 (define @t102 () (= @t2 @t33)) % 35.03/35.28 (define @t103 () (tptp.in @t36 @t1)) % 35.03/35.28 (define @t104 () (tptp.empty @t2)) % 35.03/35.28 (define @t105 () (tptp.element @t2 @t1)) % 35.03/35.28 (define @t106 () (not @t10)) % 35.03/35.28 (define @t107 () (not @t83)) % 35.03/35.28 (define @t108 () (tptp.well_founded_relation @t1)) % 35.03/35.28 (define @t109 () (@var "F" $$unsorted)) % 35.03/35.28 (define @t110 () (not @t80)) % 35.03/35.28 (define @t111 () (not @t73)) % 35.03/35.28 (define @t112 () (tptp.in @t2 @t17)) % 35.03/35.28 (define @t113 () (forall @t62 (=> @t35 @t80))) % 35.03/35.28 (define @t114 () (= @t17 tptp.empty_set)) % 35.03/35.28 (define @t115 () (tptp.subset @t17 @t2)) % 35.03/35.28 (define @t116 () (tptp.is_well_founded_in @t1 @t2)) % 35.03/35.28 (define @t117 () (tptp.apply @t1 @t2)) % 35.03/35.28 (define @t118 () (= @t17 @t117)) % 35.03/35.28 (define @t119 () (tptp.in @t2 @t54)) % 35.03/35.28 (define @t120 () (tptp.in @t76 @t1)) % 35.03/35.28 (define @t121 () (tptp.in (tptp.ordered_pair @t33 @t17) @t1)) % 35.03/35.28 (define @t122 () (tptp.is_antisymmetric_in @t1 @t2)) % 35.03/35.28 (define @t123 () (tptp.cast_to_subset @t1)) % 35.03/35.28 (define @t124 () (tptp.union @t1)) % 35.03/35.28 (define @t125 () (tptp.reflexive @t1)) % 35.03/35.28 (define @t126 () (tptp.well_ordering @t1)) % 35.03/35.28 (define @t127 () (tptp.set_difference @t1 @t2)) % 35.03/35.28 (define @t128 () (and @t66 (= @t17 @t65))) % 35.03/35.28 (define @t129 () (tptp.relation_rng @t1)) % 35.03/35.28 (define @t130 () (= @t2 @t129)) % 35.03/35.28 (define @t131 () (tptp.subset_complement @t1 @t2)) % 35.03/35.28 (define @t132 () (tptp.element @t2 @t101)) % 35.03/35.28 (define @t133 () (tptp.ordered_pair @t1 @t2)) % 35.03/35.28 (define @t134 () (tptp.is_connected_in @t1 @t2)) % 35.03/35.28 (define @t135 () (tptp.is_transitive_in @t1 @t2)) % 35.03/35.28 (define @t136 () (tptp.being_limit_ordinal @t1)) % 35.03/35.28 (define @t137 () (tptp.cartesian_product2 @t2 @t2)) % 35.03/35.28 (define @t138 () (tptp.relation_restriction @t1 @t2)) % 35.03/35.28 (define @t139 () (tptp.relation_inverse @t1)) % 35.03/35.28 (define @t140 () (tptp.apply @t17 @t33)) % 35.03/35.28 (define @t141 () (tptp.relation_rng @t17)) % 35.03/35.28 (define @t142 () (tptp.relation_dom @t17)) % 35.03/35.28 (define @t143 () (tptp.relation_isomorphism @t1 @t2 @t17)) % 35.03/35.28 (define @t144 () (and @t18 (tptp.function @t17))) % 35.03/35.28 (define @t145 () (tptp.disjoint @t1 @t2)) % 35.03/35.28 (define @t146 () (tptp.relation_composition @t1 @t2)) % 35.03/35.28 (define @t147 () (tptp.complements_of_subsets @t1 @t2)) % 35.03/35.28 (define @t148 () (tptp.powerset @t101)) % 35.03/35.28 (define @t149 () (tptp.element @t2 @t148)) % 35.03/35.28 (define @t150 () (not @t44)) % 35.03/35.28 (define @t151 () (tptp.function_inverse @t1)) % 35.03/35.28 (define @t152 () (tptp.relation @t139)) % 35.03/35.28 (define @t153 () (tptp.relation_dom_as_subset @t1 @t2 @t17)) % 35.03/35.28 (define @t154 () (tptp.relation @t146)) % 35.03/35.28 (define @t155 () (and @t16 @t41)) % 35.03/35.28 (define @t156 () (tptp.powerset @t2)) % 35.03/35.28 (define @t157 () (tptp.relation_rng_as_subset @t1 @t2 @t17)) % 35.03/35.28 (define @t158 () (tptp.union_of_subsets @t1 @t2)) % 35.03/35.28 (define @t159 () (tptp.relation @t39)) % 35.03/35.28 (define @t160 () (tptp.meet_of_subsets @t1 @t2)) % 35.03/35.28 (define @t161 () (tptp.subset_difference @t1 @t2 @t17)) % 35.03/35.28 (define @t162 () (tptp.element @t17 @t101)) % 35.03/35.28 (define @t163 () (and @t132 @t162)) % 35.03/35.28 (define @t164 () (tptp.relation @t51)) % 35.03/35.28 (define @t165 () (tptp.relation @t61)) % 35.03/35.28 (define @t166 () (tptp.relation_of2_as_subset @t17 @t1 @t2)) % 35.03/35.28 (define @t167 () (tptp.relation_composition @t2 @t1)) % 35.03/35.28 (define @t168 () (and @t10 @t41)) % 35.03/35.28 (define @t169 () (tptp.relation_empty_yielding tptp.empty_set)) % 35.03/35.28 (define @t170 () (tptp.relation tptp.empty_set)) % 35.03/35.28 (define @t171 () (tptp.empty tptp.empty_set)) % 35.03/35.28 (define @t172 () (tptp.relation_empty_yielding @t1)) % 35.03/35.28 (define @t173 () (and @t16 @t172)) % 35.03/35.28 (define @t174 () (tptp.function @t2)) % 35.03/35.28 (define @t175 () (not (tptp.empty @t79))) % 35.03/35.28 (define @t176 () (not @t104)) % 35.03/35.28 (define @t177 () (and @t41 @t174)) % 35.03/35.28 (define @t178 () (tptp.empty @t54)) % 35.03/35.28 (define @t179 () (and @t106 @t16)) % 35.03/35.28 (define @t180 () (tptp.empty @t129)) % 35.03/35.28 (define @t181 () (tptp.in @t2 @t63)) % 35.03/35.28 (define @t182 () (tptp.disjoint @t78 @t2)) % 35.03/35.28 (define @t183 () (not @t5)) % 35.03/35.28 (define @t184 () (tptp.relation_dom @t2)) % 35.03/35.28 (define @t185 () (tptp.ordered_pair @t17 @t2)) % 35.03/35.28 (define @t186 () (tptp.in @t185 @t1)) % 35.03/35.28 (define @t187 () (and @t120 @t186)) % 35.03/35.28 (define @t188 () (forall @t52 (=> @t187 @t73))) % 35.03/35.28 (define @t189 () (= @t64 @t188)) % 35.03/35.28 (define @t190 () (=> @t16 @t189)) % 35.03/35.28 (define @t191 () (forall @t11 @t190)) % 35.03/35.28 (define @t192 () (not @t186)) % 35.03/35.28 (define @t193 () (not @t120)) % 35.03/35.28 (define @t194 () (tptp.singleton @t2)) % 35.03/35.28 (define @t195 () (tptp.union @t2)) % 35.03/35.28 (define @t196 () (tptp.in @t1 @t17)) % 35.03/35.28 (define @t197 () (tptp.element @t1 @t156)) % 35.03/35.28 (define @t198 () (tptp.relation_dom_restriction @t17 @t1)) % 35.03/35.28 (define @t199 () (tptp.in @t2 (tptp.relation_dom @t198))) % 35.03/35.28 (define @t200 () (tptp.set_difference @t2 @t17)) % 35.03/35.28 (define @t201 () (= @t1 @t17)) % 35.03/35.28 (define @t202 () (tptp.relation_rng @t61)) % 35.03/35.28 (define @t203 () (tptp.relation_rng @t2)) % 35.03/35.28 (define @t204 () (tptp.cartesian_product2 @t1 @t17)) % 35.03/35.28 (define @t205 () (forall @t62 (not (and @t115 (not (tptp.are_equipotent @t17 @t2)) @t110)))) % 35.03/35.28 (define @t206 () (tptp.powerset @t17)) % 35.03/35.28 (define @t207 () (forall @t38 (=> (and @t80 (tptp.subset @t33 @t17)) @t48))) % 35.03/35.28 (define @t208 () (tptp.relation_dom_restriction @t17 @t2)) % 35.03/35.28 (define @t209 () (tptp.relation_image @t2 @t1)) % 35.03/35.28 (define @t210 () (tptp.relation_inverse_image @t2 @t1)) % 35.03/35.28 (define @t211 () (tptp.relation_image @t2 @t210)) % 35.03/35.28 (define @t212 () (tptp.set_intersection2 @t184 @t1)) % 35.03/35.28 (define @t213 () (tptp.subset @t1 @t203)) % 35.03/35.28 (define @t214 () (tptp.relation_of2_as_subset @t33 @t17 @t2)) % 35.03/35.28 (define @t215 () (tptp.relation_of2_as_subset @t33 @t17 @t1)) % 35.03/35.28 (define @t216 () (tptp.relation_rng @t146)) % 35.03/35.28 (define @t217 () (tptp.relation_inverse_image @t17 @t2)) % 35.03/35.28 (define @t218 () (tptp.relation_restriction @t17 @t2)) % 35.03/35.28 (define @t219 () (tptp.relation_restriction @t2 @t1)) % 35.03/35.28 (define @t220 () (tptp.relation_dom_restriction @t2 @t1)) % 35.03/35.28 (define @t221 () (tptp.relation_field @t17)) % 35.03/35.28 (define @t222 () (tptp.in @t1 @t221)) % 35.03/35.28 (define @t223 () (tptp.set_intersection2 @t2 @t17)) % 35.03/35.28 (define @t224 () (tptp.subset @t1 @t17)) % 35.03/35.28 (define @t225 () (tptp.element @t1 @t2)) % 35.03/35.28 (define @t226 () (tptp.in @t1 @t142)) % 35.03/35.28 (define @t227 () (tptp.in @t133 @t17)) % 35.03/35.28 (define @t228 () (tptp.relation_field @t219)) % 35.03/35.28 (define @t229 () (tptp.apply @t17 @t1)) % 35.03/35.28 (define @t230 () (tptp.relation_composition @t17 @t2)) % 35.03/35.28 (define @t231 () (tptp.in @t1 (tptp.relation_dom @t230))) % 35.03/35.28 (define @t232 () (tptp.reflexive @t2)) % 35.03/35.28 (define @t233 () (tptp.connected @t2)) % 35.03/35.28 (define @t234 () (tptp.transitive @t2)) % 35.03/35.28 (define @t235 () (tptp.antisymmetric @t2)) % 35.03/35.28 (define @t236 () (and @t222 (tptp.in @t2 @t221))) % 35.03/35.28 (define @t237 () (=> @t227 @t236)) % 35.03/35.28 (define @t238 () (forall @t21 (=> @t18 @t237))) % 35.03/35.28 (define @t239 () (tptp.well_founded_relation @t2)) % 35.03/35.28 (define @t240 () (tptp.well_ordering @t2)) % 35.03/35.28 (define @t241 () (tptp.apply @t2 @t17)) % 35.03/35.28 (define @t242 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 35.03/35.28 (define @t243 () (and @t35 @t80)) % 35.03/35.28 (define @t244 () (not @t145)) % 35.03/35.28 (define @t245 () (tptp.succ @t2)) % 35.03/35.28 (define @t246 () (= @t1 @t245)) % 35.03/35.28 (define @t247 () (tptp.subset_complement @t1 @t17)) % 35.03/35.28 (define @t248 () (tptp.disjoint @t2 @t17)) % 35.03/35.28 (define @t249 () (tptp.relation_dom @t146)) % 35.03/35.28 (define @t250 () (tptp.element @t2 @t206)) % 35.03/35.28 (define @t251 () (tptp.in @t17 @t29)) % 35.03/35.28 (define @t252 () (and (tptp.in @t17 @t129) (= @t33 @t241))) % 35.03/35.28 (define @t253 () (tptp.function_inverse @t2)) % 35.03/35.28 (define @t254 () (forall @t11 (tptp.antisymmetric @t96))) % 35.03/35.28 (define @t255 () (= @t129 tptp.empty_set)) % 35.03/35.28 (define @t256 () (= @t54 tptp.empty_set)) % 35.03/35.28 (define @t257 () (= (tptp.apply @t198 @t2) (tptp.apply @t17 @t2))) % 35.03/35.28 (define @t258 () (= @t78 (tptp.unordered_pair @t2 @t17))) % 35.03/35.28 (define @t259 () (or @t193 @t192 @t73)) % 35.03/35.28 (define @t260 () (= @t64 (forall @t52 @t259))) % 35.03/35.28 (define @t261 () (@quantifiers_skolemize @t254 0)) % 35.03/35.28 (define @t262 () (tptp.inclusion_relation @t261)) % 35.03/35.28 (define @t263 () (forall @t52 (or (not (tptp.in @t76 @t262)) (not (tptp.in @t185 @t262)) @t73))) % 35.03/35.28 (define @t264 () (tptp.antisymmetric @t262)) % 35.03/35.28 (define @t265 () (= @t264 @t263)) % 35.03/35.28 (define @t266 () (tptp.relation @t262)) % 35.03/35.28 (define @t267 () (not @t266)) % 35.03/35.28 (define @t268 () (or @t267 @t265)) % 35.03/35.28 (define @t269 () (@list false false)) % 35.03/35.28 (define @t270 () (not @t263)) % 35.03/35.28 (define @t271 () (@quantifiers_skolemize @t263 1)) % 35.03/35.28 (define @t272 () (@quantifiers_skolemize @t263 0)) % 35.03/35.28 (define @t273 () (= @t272 @t271)) % 35.03/35.28 (define @t274 () (tptp.in (tptp.ordered_pair @t271 @t272) @t262)) % 35.03/35.28 (define @t275 () (not @t274)) % 35.03/35.28 (define @t276 () (tptp.in (tptp.ordered_pair @t272 @t271) @t262)) % 35.03/35.28 (define @t277 () (not @t276)) % 35.03/35.28 (define @t278 () (or @t277 @t275 @t273)) % 35.03/35.28 (define @t279 () (@list true)) % 35.03/35.28 (define @t280 () (@list @t278)) % 35.03/35.28 (define @t281 () (not @t87)) % 35.03/35.28 (define @t282 () (not @t35)) % 35.03/35.28 (define @t283 () (or @t282 @t281 @t91)) % 35.03/35.28 (define @t284 () (= @t97 (and (= @t1 @t94) (forall @t38 @t283)))) % 35.03/35.28 (define @t285 () (tptp.in @t36 @t262)) % 35.03/35.28 (define @t286 () (not (tptp.in @t33 @t261))) % 35.03/35.28 (define @t287 () (not (tptp.in @t17 @t261))) % 35.03/35.28 (define @t288 () (forall @t38 (or @t287 @t286 (= @t90 @t285)))) % 35.03/35.28 (define @t289 () (tptp.relation_field @t262)) % 35.03/35.28 (define @t290 () (= @t261 @t289)) % 35.03/35.28 (define @t291 () (and @t290 @t288)) % 35.03/35.28 (define @t292 () (or @t287 @t286 (= @t285 @t90))) % 35.03/35.28 (define @t293 () (forall @t38 @t292)) % 35.03/35.28 (define @t294 () (and @t290 @t293)) % 35.03/35.28 (define @t295 () (= (= @t262 @t262) @t294)) % 35.03/35.28 (define @t296 () (or @t267 @t295)) % 35.03/35.28 (define @t297 () (forall @t6 (or (not @t41) @t284))) % 35.03/35.28 (define @t298 () (or @t267 @t291)) % 35.03/35.28 (define @t299 () (@list false)) % 35.03/35.28 (define @t300 () (not @t291)) % 35.03/35.28 (define @t301 () (@list @t291)) % 35.03/35.28 (define @t302 () (tptp.subset @t271 @t272)) % 35.03/35.28 (define @t303 () (tptp.in @t272 @t261)) % 35.03/35.28 (define @t304 () (not @t303)) % 35.03/35.28 (define @t305 () (tptp.in @t271 @t261)) % 35.03/35.28 (define @t306 () (not @t305)) % 35.03/35.28 (define @t307 () (or @t306 @t304 (= @t302 @t274))) % 35.03/35.28 (define @t308 () (= @t274 @t302)) % 35.03/35.28 (define @t309 () (or @t306 @t304 @t308)) % 35.03/35.28 (define @t310 () (@list @t288)) % 35.03/35.28 (define @t311 () (not @t227)) % 35.03/35.28 (define @t312 () (not @t18)) % 35.03/35.28 (define @t313 () (tptp.in @t271 @t289)) % 35.03/35.28 (define @t314 () (tptp.in @t272 @t289)) % 35.03/35.28 (define @t315 () (and @t314 @t313)) % 35.03/35.28 (define @t316 () (or @t267 @t277 @t315)) % 35.03/35.28 (define @t317 () (@list false false false)) % 35.03/35.28 (define @t318 () (not @t315)) % 35.03/35.28 (define @t319 () (@list @t315)) % 35.03/35.28 (define @t320 () (tptp.subset @t272 @t271)) % 35.03/35.28 (define @t321 () (or @t304 @t306 (= @t320 @t276))) % 35.03/35.28 (define @t322 () (@list @t272 @t271)) % 35.03/35.28 (define @t323 () (= @t276 @t320)) % 35.03/35.28 (define @t324 () (or @t304 @t306 @t323)) % 35.03/35.28 (define @t325 () (and @t320 @t302)) % 35.03/35.28 (define @t326 () (= @t273 @t325)) % 35.03/35.28 (assume @p1 (forall @t6 (=> @t5 @t4))) % 35.03/35.28 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 35.03/35.28 (assume @p3 (forall @t11 (=> @t10 @t9))) % 35.03/35.28 (assume @p4 (forall @t11 (=> @t15 @t14))) % 35.03/35.28 (assume @p5 (forall @t11 (=> @t10 @t16))) % 35.03/35.28 (assume @p6 (forall @t21 (=> @t20 @t18))) % 35.03/35.28 (assume @p7 (forall @t11 (=> @t24 @t23))) % 35.03/35.28 (assume @p8 (forall @t11 (=> @t14 @t15))) % 35.03/35.28 (assume @p9 (forall @t11 (=> @t10 @t25))) % 35.03/35.28 (assume @p10 (forall @t6 (= @t26 (tptp.unordered_pair @t2 @t1)))) % 35.03/35.28 (assume @p11 (forall @t6 (= @t28 @t27))) % 35.03/35.28 (assume @p12 (forall @t6 (= @t29 (tptp.set_intersection2 @t2 @t1)))) % 35.03/35.28 (assume @p13 (forall @t6 (=> @t32 (or @t30 (tptp.ordinal_subset @t2 @t1))))) % 35.03/35.28 (assume @p14 (forall @t6 (=> @t41 (= @t40 (forall @t38 (= @t37 (and @t35 @t34))))))) % 35.03/35.28 (assume @p15 (forall @t6 (= @t44 (and @t43 @t42)))) % 35.03/35.28 (assume @p16 (forall @t11 (=> @t16 (forall @t52 (=> @t18 (= (= @t17 @t51) (forall @t50 (= @t49 (and @t48 @t47))))))))) % 35.03/35.28 (assume @p17 (forall @t11 (=> @t59 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t54) @t53 (= @t33 (tptp.apply @t1 @t45))))))))))) % 35.03/35.28 (assume @p18 (forall @t6 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t61) (forall @t50 (= @t49 (and @t60 (tptp.in @t46 @t2)))))))))) % 35.03/35.28 (assume @p19 (forall @t11 (=> @t16 (= @t64 (tptp.is_antisymmetric_in @t1 @t63))))) % 35.03/35.28 (assume @p20 (forall @t11 (=> @t59 (forall @t52 (= @t67 (forall @t57 (= @t56 (and @t66 (tptp.in @t65 @t2))))))))) % 35.03/35.28 (assume @p21 (forall @t11 (=> @t16 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t68 @t1) @t53))))))))) % 35.03/35.28 (assume @p22 (forall @t11 (=> @t16 (forall @t52 (= @t67 (forall @t57 (= @t56 (exists @t55 (and @t47 @t53))))))))) % 35.03/35.28 (assume @p23 (forall @t11 (=> @t16 (= @t69 (tptp.is_connected_in @t1 @t63))))) % 35.03/35.28 (assume @p24 (forall @t11 (=> @t16 (= @t70 (tptp.is_transitive_in @t1 @t63))))) % 35.03/35.28 (assume @p25 (forall @t72 (= (= @t33 (tptp.unordered_triple @t1 @t2 @t17)) (forall @t55 (= @t71 (not (and (not (= @t45 @t1)) (not (= @t45 @t2)) (not (= @t45 @t17))))))))) % 35.03/35.28 (assume @p26 (forall @t11 (=> @t77 (forall @t75 (= (= @t2 (tptp.pair_first @t1)) (forall @t38 (=> @t74 @t73))))))) % 35.03/35.28 (assume @p27 (forall @t11 (= @t79 (tptp.set_union2 @t1 @t78)))) % 35.03/35.28 (assume @p28 (forall @t11 (= @t16 (forall @t75 (not (and @t3 (forall @t38 (not (= @t2 @t36))))))))) % 35.03/35.28 (assume @p29 (forall @t11 (=> @t16 (forall @t75 (= @t81 (forall @t62 (=> @t80 (tptp.in (tptp.ordered_pair @t17 @t17) @t1)))))))) % 35.03/35.28 (assume @p30 (forall @t21 (= @t82 (tptp.subset @t17 @t19)))) % 35.03/35.28 (assume @p31 (forall @t6 (and (=> @t88 (= @t84 (forall @t62 (= @t80 (forall @t57 (=> @t87 @t86)))))) (=> @t85 (= @t84 @t83))))) % 35.03/35.28 (assume @p32 (forall @t6 (= (= @t2 @t78) (forall @t62 (= @t80 (= @t17 @t1)))))) % 35.03/35.28 (assume @p33 (forall @t11 (=> @t16 (forall @t52 (= (= @t17 (tptp.fiber @t1 @t2)) (forall @t57 (= @t56 (and (not @t89) (tptp.in (tptp.ordered_pair @t33 @t2) @t1))))))))) % 35.03/35.28 (assume @p34 @t100) % 35.03/35.28 (assume @p35 (forall @t11 (= @t85 (forall @t75 @t4)))) % 35.03/35.28 (assume @p36 (forall @t6 (= (= @t2 @t101) (forall @t62 (= @t80 (tptp.subset @t17 @t1)))))) % 35.03/35.28 (assume @p37 (forall @t11 (=> @t77 (forall @t75 (= (= @t2 (tptp.pair_second @t1)) (forall @t38 (=> @t74 @t102))))))) % 35.03/35.28 (assume @p38 (forall @t11 (= @t13 (forall @t75 (=> @t3 @t42))))) % 35.03/35.28 (assume @p39 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t44 (forall @t38 (= @t103 @t37)))))))) % 35.03/35.28 (assume @p40 (forall @t6 (and (=> @t106 (= @t105 @t3)) (=> @t10 (= @t105 @t104))))) % 35.03/35.28 (assume @p41 (forall @t21 (= (= @t17 @t26) (forall @t57 (= @t56 (or (= @t33 @t1) @t89)))))) % 35.03/35.28 (assume @p42 (forall @t11 (=> @t16 (= @t108 (forall @t75 (not (and (tptp.subset @t2 @t63) @t107 (forall @t62 (not (and @t80 (tptp.disjoint (tptp.fiber @t1 @t17) @t2))))))))))) % 35.03/35.28 (assume @p43 (forall @t21 (= (= @t17 @t28) (forall @t57 (= @t56 (or @t87 @t48)))))) % 35.03/35.28 (assume @p44 (forall @t21 (= (= @t17 @t19) (forall @t57 (= @t56 (exists (@list @t45 @t109) (and @t60 (tptp.in @t109 @t2) (= @t33 (tptp.ordered_pair @t45 @t109))))))))) % 35.03/35.28 (assume @p45 (forall @t11 (= @t12 (forall @t52 (not (and @t3 @t35 (not @t112) @t111 @t110)))))) % 35.03/35.28 (assume @p46 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t43 (forall @t38 (=> @t103 @t37)))))))) % 35.03/35.28 (assume @p47 (forall @t6 (= @t43 @t113))) % 35.03/35.28 (assume @p48 (forall @t11 (=> @t16 (forall @t75 (= @t116 (forall @t62 (not (and @t115 (not @t114) (forall @t57 (not (and @t56 (tptp.disjoint (tptp.fiber @t1 @t33) @t17)))))))))))) % 35.03/35.28 (assume @p49 (forall @t21 (= (= @t17 @t29) (forall @t57 (= @t56 (and @t87 @t48)))))) % 35.03/35.28 (assume @p50 (forall @t11 (=> @t59 (forall @t52 (and (=> @t119 (= @t118 @t120)) (=> (not @t119) (= @t118 @t114))))))) % 35.03/35.28 (assume @p51 (forall @t11 (= @t15 @t14))) % 35.03/35.28 (assume @p52 (forall @t11 (=> @t16 (forall @t75 (= (= @t2 @t54) (forall @t62 (= @t80 (exists @t57 @t103)))))))) % 35.03/35.28 (assume @p53 (forall @t11 (=> @t16 (forall @t75 (= @t122 (forall @t38 (=> (and @t80 @t48 @t103 @t121) @t34))))))) % 35.03/35.28 (assume @p54 (forall @t11 (= @t123 @t1))) % 35.03/35.28 (assume @p55 (forall @t6 (= (= @t2 @t124) (forall @t62 (= @t80 (exists @t57 (and @t86 @t87))))))) % 35.03/35.28 (assume @p56 (forall @t11 (=> @t16 (= @t126 (and @t125 @t70 @t64 @t69 @t108))))) % 35.03/35.28 (assume @p57 (forall @t21 (= (= @t17 @t127) (forall @t57 (= @t56 (and @t87 (not @t48))))))) % 35.03/35.28 (assume @p58 (forall @t11 (=> @t59 (forall @t75 (= @t130 (forall @t62 (= @t80 (exists @t57 @t128)))))))) % 35.03/35.28 (assume @p59 (forall @t11 (=> @t16 (forall @t75 (= @t130 (forall @t62 (= @t80 (exists @t57 @t121)))))))) % 35.03/35.28 (assume @p60 (forall @t6 (=> @t132 (= @t131 @t127)))) % 35.03/35.28 (assume @p61 (forall @t6 (= @t133 (tptp.unordered_pair @t26 @t78)))) % 35.03/35.28 (assume @p62 (forall @t11 (=> @t16 (forall @t75 (= (tptp.well_orders @t1 @t2) (and @t81 @t135 @t122 @t134 @t116)))))) % 35.03/35.28 (assume @p63 (forall @t11 (= @t136 (= @t1 @t124)))) % 35.03/35.28 (assume @p64 (forall @t11 (=> @t16 (= @t63 (tptp.set_union2 @t54 @t129))))) % 35.03/35.28 (assume @p65 (forall @t11 (=> @t16 (forall @t75 (= @t134 (forall @t38 (not (and @t80 @t48 (not @t34) (not @t103) (not @t121))))))))) % 35.03/35.28 (assume @p66 (forall @t11 (=> @t16 (forall @t75 (= @t138 (tptp.set_intersection2 @t1 @t137)))))) % 35.03/35.28 (assume @p67 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= (= @t2 @t139) (forall @t38 (= @t37 @t121)))))))) % 35.03/35.28 (assume @p68 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t144 (= @t143 (and (= @t142 @t63) (= @t141 @t94) (tptp.one_to_one @t17) (forall @t50 (= @t47 (and (tptp.in @t33 @t63) (tptp.in @t45 @t63) (tptp.in (tptp.ordered_pair @t140 (tptp.apply @t17 @t45)) @t2))))))))))))) % 35.03/35.28 (assume @p69 (forall @t6 (= @t145 (= @t29 tptp.empty_set)))) % 35.03/35.28 (assume @p70 (forall @t11 (=> @t59 (= @t22 (forall @t52 (=> (and @t119 (tptp.in @t17 @t54) (= @t117 (tptp.apply @t1 @t17))) @t73)))))) % 35.03/35.28 (assume @p71 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t146) (forall @t50 (= @t49 (exists (@list @t109) (and (tptp.in (tptp.ordered_pair @t33 @t109) @t1) (tptp.in (tptp.ordered_pair @t109 @t45) @t2))))))))))))) % 35.03/35.28 (assume @p72 (forall @t11 (=> @t16 (forall @t75 (= @t135 (forall (@list @t17 @t33 @t45) (=> (and @t80 @t48 @t53 @t103 @t47) (tptp.in (tptp.ordered_pair @t17 @t45) @t1)))))))) % 35.03/35.28 (assume @p73 (forall @t6 (=> @t149 (forall @t62 (=> (tptp.element @t17 @t148) (= (= @t17 @t147) (forall @t57 (=> (tptp.element @t33 @t101) (= @t56 (tptp.in (tptp.subset_complement @t1 @t33) @t2)))))))))) % 35.03/35.28 (assume @p74 (forall @t6 (= @t8 (and @t43 @t150)))) % 35.03/35.28 (assume @p75 (forall @t11 (=> @t59 (=> @t22 (= @t151 @t139))))) % 35.03/35.28 (assume @p76 (forall @t11 (=> @t16 (= @t125 (tptp.is_reflexive_in @t1 @t63))))) % 35.03/35.28 (assume @p77 true) % 35.03/35.28 (assume @p78 (forall @t11 (tptp.relation @t96))) % 35.03/35.28 (assume @p79 (forall @t11 (=> @t59 (and (tptp.relation @t151) (tptp.function @t151))))) % 35.03/35.28 (assume @p80 (forall @t11 (tptp.element @t123 @t101))) % 35.03/35.28 (assume @p81 (forall @t6 (=> @t16 (tptp.relation @t138)))) % 35.03/35.28 (assume @p82 (forall @t6 (=> @t132 (tptp.element @t131 @t101)))) % 35.03/35.28 (assume @p83 (forall @t11 (=> @t16 @t152))) % 35.03/35.28 (assume @p84 (forall @t21 (=> @t82 (tptp.element @t153 @t101)))) % 35.03/35.28 (assume @p85 (forall @t6 (=> @t155 @t154))) % 35.03/35.28 (assume @p86 (forall @t21 (=> @t82 (tptp.element @t157 @t156)))) % 35.03/35.28 (assume @p87 (forall @t6 (=> @t149 (tptp.element @t158 @t101)))) % 35.03/35.28 (assume @p88 (forall @t11 @t159)) % 35.03/35.28 (assume @p89 (forall @t6 (=> @t149 (tptp.element @t160 @t101)))) % 35.03/35.28 (assume @p90 (forall @t21 (=> @t163 (tptp.element @t161 @t101)))) % 35.03/35.28 (assume @p91 (forall @t6 (=> @t16 @t164))) % 35.03/35.28 (assume @p92 (forall @t6 (=> @t149 (tptp.element @t147 @t148)))) % 35.03/35.28 (assume @p93 (forall @t6 (=> @t41 @t165))) % 35.03/35.28 (assume @p94 (forall @t21 (=> @t166 @t20))) % 35.03/35.28 (assume @p95 (forall @t6 (exists @t62 @t82))) % 35.03/35.28 (assume @p96 (forall @t11 (exists @t75 @t105))) % 35.03/35.28 (assume @p97 (forall @t6 (exists @t62 @t166))) % 35.03/35.28 (assume @p98 (forall @t6 (=> @t168 (and (tptp.empty @t167) (tptp.relation @t167))))) % 35.03/35.28 (assume @p99 (forall @t11 (=> @t10 (and (tptp.empty @t139) @t152)))) % 35.03/35.28 (assume @p100 (and @t171 @t170 @t169)) % 35.03/35.28 (assume @p101 (forall @t6 (=> @t173 (and @t164 (tptp.relation_empty_yielding @t51))))) % 35.03/35.28 (assume @p102 (forall @t6 (=> (and @t16 @t9 @t41 @t174) (and @t154 (tptp.function @t146))))) % 35.03/35.28 (assume @p103 (forall @t11 @t175)) % 35.03/35.28 (assume @p104 (forall @t6 (=> @t155 (tptp.relation @t29)))) % 35.03/35.28 (assume @p105 (forall @t11 (not (tptp.empty @t101)))) % 35.03/35.28 (assume @p106 @t171) % 35.03/35.28 (assume @p107 (forall @t6 (not (tptp.empty @t133)))) % 35.03/35.28 (assume @p108 (forall @t11 (and @t159 (tptp.function @t39)))) % 35.03/35.28 (assume @p109 (and @t170 @t169 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t171 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 35.03/35.28 (assume @p110 (forall @t6 (=> @t155 (tptp.relation @t28)))) % 35.03/35.28 (assume @p111 (forall @t11 (not (tptp.empty @t78)))) % 35.03/35.28 (assume @p112 (forall @t6 (=> @t106 (not (tptp.empty @t28))))) % 35.03/35.28 (assume @p113 (forall @t11 (=> @t23 (and @t152 (tptp.function @t139))))) % 35.03/35.28 (assume @p114 (forall @t11 (=> @t15 (and @t175 (tptp.epsilon_transitive @t79) (tptp.epsilon_connected @t79) (tptp.ordinal @t79))))) % 35.03/35.28 (assume @p115 (forall @t6 (=> @t155 (tptp.relation @t127)))) % 35.03/35.28 (assume @p116 (forall @t6 (not (tptp.empty @t26)))) % 35.03/35.28 (assume @p117 (forall @t6 (=> @t106 (not (tptp.empty @t27))))) % 35.03/35.28 (assume @p118 (forall @t6 (=> @t59 (and @t164 (tptp.function @t51))))) % 35.03/35.28 (assume @p119 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t124) (tptp.epsilon_connected @t124) (tptp.ordinal @t124))))) % 35.03/35.28 (assume @p120 (and @t171 @t170)) % 35.03/35.28 (assume @p121 (forall @t6 (=> (and @t106 @t176) (not (tptp.empty @t19))))) % 35.03/35.28 (assume @p122 (forall @t6 (=> @t177 (and @t165 (tptp.function @t61))))) % 35.03/35.28 (assume @p123 (forall @t11 (=> @t179 (not @t178)))) % 35.03/35.28 (assume @p124 (forall @t11 (=> @t179 (not @t180)))) % 35.03/35.28 (assume @p125 (forall @t11 (=> @t10 (and @t178 (tptp.relation @t54))))) % 35.03/35.28 (assume @p126 (forall @t11 (=> @t10 (and @t180 (tptp.relation @t129))))) % 35.03/35.28 (assume @p127 (forall @t6 (=> @t168 (and (tptp.empty @t146) @t154)))) % 35.03/35.28 (assume @p128 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 35.03/35.28 (assume @p129 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 35.03/35.28 (assume @p130 (forall @t6 (=> @t132 (= (tptp.subset_complement @t1 @t131) @t2)))) % 35.03/35.28 (assume @p131 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t139) @t1)))) % 35.03/35.28 (assume @p132 (forall @t6 (=> @t149 (= (tptp.complements_of_subsets @t1 @t147) @t2)))) % 35.03/35.28 (assume @p133 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 35.03/35.29 (assume @p134 (forall @t11 (=> @t16 (= @t125 (forall @t75 (=> @t181 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 35.03/35.29 (assume @p135 (forall @t11 (not (= @t78 tptp.empty_set)))) % 35.03/35.29 (assume @p136 (forall @t6 (=> @t5 (= (tptp.set_union2 @t78 @t2) @t2)))) % 35.03/35.29 (assume @p137 (forall @t6 (not (and @t182 @t5)))) % 35.03/35.29 (assume @p138 (forall @t6 (=> @t183 @t182))) % 35.03/35.29 (assume @p139 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_dom @t61) @t184)))) % 35.03/35.29 (assume @p140 (forall @t11 (=> @t16 (= @t70 (forall (@list @t2 @t17 @t33) (=> (and @t120 @t103) (tptp.in (tptp.ordered_pair @t2 @t33) @t1))))))) % 35.03/35.29 (assume @p141 (forall @t6 (= (tptp.subset @t78 @t2) @t5))) % 35.03/35.29 (assume @p142 (forall @t6 (= (= @t127 tptp.empty_set) @t43))) % 35.03/35.29 (assume @p143 (forall @t6 (=> @t132 (forall @t62 (=> @t80 @t35))))) % 35.03/35.29 (assume @p144 @t191) % 35.03/35.29 (assume @p145 (forall @t21 (=> @t43 (or @t35 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t17))))))) % 35.03/35.29 (assume @p146 (forall @t11 (=> @t16 (= @t69 (forall @t52 (not (and @t181 (tptp.in @t17 @t63) @t111 @t193 @t192))))))) % 35.03/35.29 (assume @p147 (forall @t6 (= (tptp.subset @t1 @t194) (or @t85 (= @t1 @t194))))) % 35.03/35.29 (assume @p148 (forall @t6 (=> @t5 (tptp.subset @t1 @t195)))) % 35.03/35.29 (assume @p149 (forall @t72 (= (tptp.in @t133 (tptp.cartesian_product2 @t17 @t33)) (and @t196 (tptp.in @t2 @t33))))) % 35.03/35.29 (assume @p150 (forall @t6 (=> @t113 @t197))) % 35.03/35.29 (assume @p151 (forall @t21 (=> @t144 (= @t199 (and (tptp.in @t2 @t142) @t3))))) % 35.03/35.29 (assume @p152 (exists @t11 @t59)) % 35.03/35.29 (assume @p153 (exists @t11 @t25)) % 35.03/35.29 (assume @p154 (exists @t11 (and @t10 @t16))) % 35.03/35.29 (assume @p155 (forall @t11 (=> @t106 (exists @t75 (and @t132 @t176))))) % 35.03/35.29 (assume @p156 (exists @t11 @t10)) % 35.03/35.29 (assume @p157 (exists @t11 @t24)) % 35.03/35.29 (assume @p158 (exists @t11 (and @t16 @t9 @t22 @t10 @t13 @t12 @t15))) % 35.03/35.29 (assume @p159 (exists @t11 @t179)) % 35.03/35.29 (assume @p160 (forall @t11 (exists @t75 (and @t132 @t104)))) % 35.03/35.29 (assume @p161 (exists @t11 @t106)) % 35.03/35.29 (assume @p162 (exists @t11 @t23)) % 35.03/35.29 (assume @p163 (exists @t11 (and @t106 @t13 @t12 @t15))) % 35.03/35.29 (assume @p164 (exists @t11 @t173)) % 35.03/35.29 (assume @p165 (exists @t11 (and @t16 @t172 @t9))) % 35.03/35.29 (assume @p166 (forall @t21 (=> @t82 (= @t153 @t142)))) % 35.03/35.29 (assume @p167 (forall @t21 (=> @t82 (= @t157 @t141)))) % 35.03/35.29 (assume @p168 (forall @t6 (=> @t149 (= @t158 @t195)))) % 35.03/35.29 (assume @p169 (forall @t6 (=> @t149 (= @t160 (tptp.set_meet @t2))))) % 35.03/35.29 (assume @p170 (forall @t21 (=> @t163 (= @t161 @t200)))) % 35.03/35.29 (assume @p171 (forall @t21 (= @t166 @t82))) % 35.03/35.29 (assume @p172 (forall @t6 (=> @t32 (= @t30 @t43)))) % 35.03/35.29 (assume @p173 (forall @t6 (=> @t32 (tptp.ordinal_subset @t1 @t1)))) % 35.03/35.29 (assume @p174 (forall @t6 (tptp.subset @t1 @t1))) % 35.03/35.29 (assume @p175 (forall @t6 (=> @t145 (tptp.disjoint @t2 @t1)))) % 35.03/35.29 (assume @p176 (forall @t11 (tptp.in @t1 @t79))) % 35.03/35.29 (assume @p177 (forall @t72 (not (and (= @t26 (tptp.unordered_pair @t17 @t33)) (not @t201) (not (= @t1 @t33)))))) % 35.03/35.29 (assume @p178 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t141)))))) % 35.03/35.29 (assume @p179 (forall @t6 (=> @t41 (tptp.subset @t202 @t1)))) % 35.03/35.29 (assume @p180 (forall @t6 (=> @t41 (tptp.subset @t61 @t2)))) % 35.03/35.29 (assume @p181 (forall @t6 (=> @t41 (tptp.subset @t202 @t203)))) % 35.03/35.29 (assume @p182 (forall @t21 (=> @t43 (and (tptp.subset @t204 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 35.03/35.29 (assume @p183 (forall @t6 (=> @t41 (= @t202 (tptp.set_intersection2 @t203 @t1))))) % 35.03/35.29 (assume @p184 (forall @t72 (=> (and @t43 @t90) (tptp.subset @t204 (tptp.cartesian_product2 @t2 @t33))))) % 35.03/35.29 (assume @p185 (forall @t21 (=> @t166 (and (tptp.subset @t142 @t1) (tptp.subset @t141 @t2))))) % 35.03/35.29 (assume @p186 (forall @t6 (=> @t43 (= @t28 @t2)))) % 35.03/35.29 (assume @p187 (forall @t11 (exists @t75 (and @t5 @t207 (forall @t62 (=> @t80 (tptp.in @t206 @t2))) @t205)))) % 35.03/35.29 (assume @p188 (forall @t21 (=> @t18 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t208))))) % 35.03/35.29 (assume @p189 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_image @t17 @t2)) (exists @t57 (and (tptp.in @t33 @t142) (tptp.in (tptp.ordered_pair @t33 @t1) @t17) @t48)))))) % 35.03/35.29 (assume @p190 (forall @t6 (=> @t41 (tptp.subset @t209 @t203)))) % 35.03/35.29 (assume @p191 (forall @t6 (=> @t177 (tptp.subset @t211 @t1)))) % 35.03/35.29 (assume @p192 (forall @t6 (=> @t41 (= @t209 (tptp.relation_image @t2 @t212))))) % 35.03/35.29 (assume @p193 (forall @t6 (=> @t41 (=> (tptp.subset @t1 @t184) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t209)))))) % 35.03/35.29 (assume @p194 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t54) @t129)))) % 35.03/35.29 (assume @p195 (forall @t6 (=> @t177 (=> @t213 (= @t211 @t1))))) % 35.03/35.29 (assume @p196 (forall @t72 (=> @t215 (=> (tptp.subset (tptp.relation_rng @t33) @t2) @t214)))) % 35.03/35.29 (assume @p197 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t216 (tptp.relation_image @t2 @t129))))))) % 35.03/35.29 (assume @p198 (forall @t21 (=> @t18 (= (tptp.in @t1 @t217) (exists @t57 (and (tptp.in @t33 @t141) (tptp.in (tptp.ordered_pair @t1 @t33) @t17) @t48)))))) % 35.03/35.29 (assume @p199 (forall @t6 (=> @t41 (tptp.subset @t210 @t184)))) % 35.03/35.29 (assume @p200 (forall @t72 (=> @t215 (=> @t43 @t214)))) % 35.03/35.29 (assume @p201 (forall @t21 (=> @t18 (= (tptp.in @t1 @t218) (and @t196 (tptp.in @t1 @t137)))))) % 35.03/35.29 (assume @p202 (forall @t6 (=> @t41 (not (and @t88 @t213 (= @t210 tptp.empty_set)))))) % 35.03/35.29 (assume @p203 (forall @t21 (=> @t18 (=> @t43 (tptp.subset (tptp.relation_inverse_image @t17 @t1) @t217))))) % 35.03/35.29 (assume @p204 (forall @t6 (=> @t41 (= @t219 (tptp.relation_dom_restriction @t61 @t1))))) % 35.03/35.29 (assume @p205 (forall @t6 (tptp.subset @t29 @t1))) % 35.03/35.29 (assume @p206 (forall @t6 (=> @t41 (= @t219 (tptp.relation_rng_restriction @t1 @t220))))) % 35.03/35.29 (assume @p207 (forall @t21 (=> @t18 (=> (tptp.in @t1 (tptp.relation_field @t218)) (and @t222 @t5))))) % 35.03/35.29 (assume @p208 (forall @t21 (=> (and @t43 @t224) (tptp.subset @t1 @t223)))) % 35.03/35.29 (assume @p209 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 35.03/35.29 (assume @p210 (forall @t6 (=> @t5 @t225))) % 35.03/35.29 (assume @p211 (forall @t21 (=> (and @t43 (tptp.subset @t2 @t17)) @t224))) % 35.03/35.29 (assume @p212 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 35.03/35.29 (assume @p213 (forall @t21 (=> @t18 (=> @t227 (and @t226 (tptp.in @t2 @t141)))))) % 35.03/35.29 (assume @p214 (forall @t6 (=> @t41 (and (tptp.subset @t228 @t94) (tptp.subset @t228 @t1))))) % 35.03/35.29 (assume @p215 (forall @t6 (=> @t177 (forall @t62 (=> @t144 (= @t231 (and @t226 (tptp.in @t229 @t184)))))))) % 35.03/35.29 (assume @p216 (forall @t11 (=> @t13 (forall @t75 (=> @t31 (=> @t8 @t5)))))) % 35.03/35.29 (assume @p217 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t54 @t129))))) % 35.03/35.29 (assume @p218 (forall @t21 (=> @t18 (tptp.subset (tptp.fiber (tptp.relation_restriction @t17 @t1) @t2) (tptp.fiber @t17 @t2))))) % 35.03/35.29 (assume @p219 (forall @t6 (=> @t177 (forall @t62 (=> @t144 (=> @t231 (= (tptp.apply @t230 @t1) (tptp.apply @t2 @t229)))))))) % 35.03/35.29 (assume @p220 (forall @t21 (=> (tptp.relation_of2_as_subset @t17 @t2 @t1) (= (forall @t57 (not (and @t48 (forall @t55 (not @t49))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t17) @t2))))) % 35.03/35.29 (assume @p221 (forall @t6 (=> @t41 (=> @t232 (tptp.reflexive @t219))))) % 35.03/35.29 (assume @p222 (forall @t6 (=> @t177 (forall @t62 (=> @t144 (=> (tptp.in @t1 @t184) (= (tptp.apply (tptp.relation_composition @t2 @t17) @t1) (tptp.apply @t17 (tptp.apply @t2 @t1))))))))) % 35.03/35.29 (assume @p223 (forall @t6 (=> @t31 (=> @t5 @t15)))) % 35.03/35.29 (assume @p224 (forall @t21 (=> @t166 (= (forall @t57 (not (and @t48 (forall @t55 (not (tptp.in @t68 @t17)))))) (= @t157 @t2))))) % 35.03/35.29 (assume @p225 (forall @t6 (=> @t41 (=> @t233 (tptp.connected @t219))))) % 35.03/35.29 (assume @p226 (forall @t11 (=> @t15 (forall @t75 (=> @t31 (not (and @t183 @t150 @t4))))))) % 35.03/35.29 (assume @p227 (forall @t6 (=> @t41 (=> @t234 (tptp.transitive @t219))))) % 35.03/35.29 (assume @p228 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> @t43 (and (tptp.subset @t54 @t184) (tptp.subset @t129 @t203)))))))) % 35.03/35.29 (assume @p229 (forall @t6 (=> @t41 (=> @t235 (tptp.antisymmetric @t219))))) % 35.03/35.29 (assume @p230 (forall @t21 (=> @t43 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t223)))) % 35.03/35.29 (assume @p231 (forall @t6 (=> @t43 (= @t29 @t1)))) % 35.03/35.29 (assume @p232 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 35.03/35.29 (assume @p233 (forall @t6 (=> @t225 (or @t104 @t5)))) % 35.03/35.29 (assume @p234 (forall @t6 (=> (forall @t62 (= @t35 @t80)) @t44))) % 35.03/35.29 (assume @p235 (forall @t11 (tptp.reflexive @t96))) % 35.03/35.29 (assume @p236 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 35.03/35.29 (assume @p237 @t238) % 35.03/35.29 (assume @p238 (forall @t11 (=> (forall @t75 (=> @t3 (and @t31 @t42))) @t15))) % 35.03/35.29 (assume @p239 (forall @t6 (=> @t41 (=> @t239 (tptp.well_founded_relation @t219))))) % 35.03/35.29 (assume @p240 (forall @t6 (=> @t31 (not (and @t43 @t88 (forall @t62 (=> (tptp.ordinal @t17) (not (and @t35 (forall @t57 (=> (tptp.ordinal @t33) (=> @t87 (tptp.ordinal_subset @t17 @t33))))))))))))) % 35.03/35.29 (assume @p241 (forall @t6 (=> @t41 (=> @t240 (tptp.well_ordering @t219))))) % 35.03/35.29 (assume @p242 (forall @t11 (=> @t15 (forall @t75 (=> @t31 (= @t5 (tptp.ordinal_subset @t79 @t2))))))) % 35.03/35.29 (assume @p243 (forall @t21 (=> @t43 (tptp.subset (tptp.set_difference @t1 @t17) @t200)))) % 35.03/35.29 (assume @p244 (forall @t72 (=> (= @t133 @t36) (and @t201 @t102)))) % 35.03/35.29 (assume @p245 (forall @t6 (=> @t177 (= @t40 (and (= @t184 @t1) (forall @t62 (=> @t35 (= @t241 @t17)))))))) % 35.03/35.29 (assume @p246 (forall @t6 (=> @t3 (= (tptp.apply @t39 @t2) @t2)))) % 35.03/35.29 (assume @p247 (forall @t6 (tptp.subset @t127 @t1))) % 35.03/35.29 (assume @p248 (forall @t11 (=> @t16 (and (= @t129 (tptp.relation_dom @t139)) (= @t54 (tptp.relation_rng @t139)))))) % 35.03/35.29 (assume @p249 (forall @t21 (= (tptp.subset @t26 @t17) (and @t196 @t112)))) % 35.03/35.29 (assume @p250 (forall @t6 (=> @t41 (=> (and @t240 (tptp.subset @t1 @t94)) (= @t228 @t1))))) % 35.03/35.29 (assume @p251 (forall @t6 (= @t242 @t28))) % 35.03/35.29 (assume @p252 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 35.03/35.29 (assume @p253 (forall @t21 (not (and @t5 @t112 @t35)))) % 35.03/35.29 (assume @p254 (forall @t6 (= @t197 @t43))) % 35.03/35.29 (assume @p255 (forall @t11 (tptp.transitive @t96))) % 35.03/35.29 (assume @p256 (forall @t6 (and (not (and @t244 (forall @t62 (not @t243)))) (not (and (exists @t62 @t243) @t145))))) % 35.03/35.29 (assume @p257 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t85))) % 35.03/35.29 (assume @p258 (forall @t6 (= (tptp.set_difference @t28 @t2) @t127))) % 35.03/35.29 (assume @p259 (forall @t11 (=> @t15 (= @t136 (forall @t75 (=> @t31 (=> @t3 (tptp.in @t245 @t1)))))))) % 35.03/35.29 (assume @p260 (forall @t11 (=> @t15 (and (not (and (not @t136) (forall @t75 (=> @t31 (not @t246))))) (not (and (exists @t75 (and @t31 @t246)) @t136)))))) % 35.03/35.29 (assume @p261 (forall @t6 (=> @t132 (forall @t62 (=> @t162 (= @t248 (tptp.subset @t2 @t247))))))) % 35.03/35.29 (assume @p262 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (tptp.subset @t249 @t54)))))) % 35.03/35.29 (assume @p263 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (tptp.subset @t216 @t203)))))) % 35.03/35.29 (assume @p264 (forall @t6 (=> @t43 (= @t2 @t242)))) % 35.03/35.29 (assume @p265 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> (tptp.subset @t129 @t184) (= @t249 @t54))))))) % 35.03/35.29 (assume @p266 (forall @t6 (=> @t149 (not (and @t107 (= @t147 tptp.empty_set)))))) % 35.03/35.29 (assume @p267 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> (tptp.subset @t54 @t203) (= (tptp.relation_rng @t167) @t129))))))) % 35.03/35.29 (assume @p268 (forall @t6 (=> @t149 (=> @t107 (= (tptp.subset_difference @t1 @t123 @t158) (tptp.meet_of_subsets @t1 @t147)))))) % 35.03/35.29 (assume @p269 (forall @t6 (=> @t149 (=> @t107 (= (tptp.union_of_subsets @t1 @t147) (tptp.subset_difference @t1 @t123 @t160)))))) % 35.03/35.29 (assume @p270 (forall @t6 (= (tptp.set_difference @t1 @t127) @t29))) % 35.03/35.29 (assume @p271 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t144 (=> @t143 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t17)))))))))) % 35.03/35.29 (assume @p272 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 35.03/35.29 (assume @p273 (forall @t21 (=> (and @t5 @t250) (tptp.element @t1 @t17)))) % 35.03/35.29 (assume @p274 (forall @t11 (=> @t15 (tptp.connected @t96)))) % 35.03/35.29 (assume @p275 (forall @t6 (and (not (and @t244 (forall @t62 (not @t251)))) (not (and (exists @t62 @t251) @t145))))) % 35.03/35.29 (assume @p276 (forall @t11 (=> @t88 (forall @t75 (=> @t132 (forall @t62 (=> (tptp.element @t17 @t1) (=> @t110 (tptp.in @t17 @t131))))))))) % 35.03/35.29 (assume @p277 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t144 (=> @t143 (and (=> @t125 @t232) (=> @t70 @t234) (=> @t69 @t233) (=> @t64 @t235) (=> @t108 @t239)))))))))) % 35.03/35.29 (assume @p278 (forall @t11 (=> @t59 (=> @t22 (forall @t75 (=> @t177 (= (= @t2 @t151) (and (= @t184 @t129) (forall @t38 (and (=> @t252 @t128) (=> @t128 @t252))))))))))) % 35.03/35.29 (assume @p279 (forall @t21 (=> @t162 (not (and (tptp.in @t2 @t247) @t112))))) % 35.03/35.29 (assume @p280 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t144 (=> (and @t126 @t143) @t240)))))))) % 35.03/35.29 (assume @p281 (forall @t11 (=> @t59 (=> @t22 (and (= @t129 (tptp.relation_dom @t151)) (= @t54 (tptp.relation_rng @t151))))))) % 35.03/35.29 (assume @p282 (forall @t11 (=> @t16 (=> (forall @t52 @t193) @t85)))) % 35.03/35.29 (assume @p283 (forall @t6 (=> @t177 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t203)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t253 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t253 @t2) @t1))))))) % 35.03/35.29 (assume @p284 (forall @t21 (not (and @t5 @t250 (tptp.empty @t17))))) % 35.03/35.29 (assume @p285 (forall @t11 (=> @t16 (= @t108 (tptp.is_well_founded_in @t1 @t63))))) % 35.03/35.29 (assume @p286 (not @t254)) % 35.03/35.29 (assume @p287 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 35.03/35.29 (assume @p288 (forall @t6 (not (and @t43 @t7)))) % 35.03/35.29 (assume @p289 (forall @t11 (=> @t59 (=> @t22 (tptp.one_to_one @t151))))) % 35.03/35.29 (assume @p290 (forall @t21 (=> (and @t43 @t248) (tptp.disjoint @t1 @t17)))) % 35.03/35.29 (assume @p291 (forall @t11 (=> @t16 (=> (or @t256 @t255) @t85)))) % 35.03/35.29 (assume @p292 (forall @t11 (=> @t16 (= @t256 @t255)))) % 35.03/35.29 (assume @p293 (forall @t6 (= (= (tptp.set_difference @t1 @t194) @t1) @t4))) % 35.03/35.29 (assume @p294 (forall @t6 (=> @t177 (forall @t62 (=> @t144 (= (= @t2 @t198) (and (= @t184 (tptp.set_intersection2 @t142 @t1)) (forall @t57 (=> (tptp.in @t33 @t184) (= (tptp.apply @t2 @t33) @t140)))))))))) % 35.03/35.29 (assume @p295 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t78))) % 35.03/35.29 (assume @p296 (forall @t11 (=> @t10 @t85))) % 35.03/35.29 (assume @p297 (forall @t6 (=> (tptp.subset @t78 @t194) @t44))) % 35.03/35.29 (assume @p298 (forall @t21 (=> @t144 (=> @t199 @t257)))) % 35.03/35.29 (assume @p299 (forall @t11 (and (= (tptp.relation_dom @t39) @t1) (= (tptp.relation_rng @t39) @t1)))) % 35.03/35.29 (assume @p300 (forall @t21 (=> @t144 (=> @t3 @t257)))) % 35.03/35.29 (assume @p301 (forall @t72 (=> (tptp.relation @t33) (= (tptp.in @t133 (tptp.relation_composition (tptp.identity_relation @t17) @t33)) (and @t196 (tptp.in @t133 @t33)))))) % 35.03/35.29 (assume @p302 (forall @t6 (not (and @t5 @t104)))) % 35.03/35.29 (assume @p303 (forall @t6 (and (= (tptp.pair_first @t133) @t1) (= (tptp.pair_second @t133) @t2)))) % 35.03/35.29 (assume @p304 (forall @t6 (not (and @t5 (forall @t62 (not (and @t80 (forall @t57 (not (and @t48 @t56)))))))))) % 35.03/35.29 (assume @p305 (forall @t6 (tptp.subset @t1 @t28))) % 35.03/35.29 (assume @p306 (forall @t6 (= @t145 (= @t127 @t1)))) % 35.03/35.29 (assume @p307 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_dom @t208)) (and @t5 @t226))))) % 35.03/35.29 (assume @p308 (forall @t6 (=> @t41 (tptp.subset @t220 @t2)))) % 35.03/35.29 (assume @p309 (forall @t6 (not (and @t10 @t150 @t104)))) % 35.03/35.29 (assume @p310 (forall @t21 (=> @t144 (= @t227 (and @t226 (= @t2 @t229)))))) % 35.03/35.29 (assume @p311 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t63) @t126)))) % 35.03/35.29 (assume @p312 (forall @t21 (=> (and @t43 @t115) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 35.03/35.29 (assume @p313 (forall @t21 (=> @t258 @t44))) % 35.03/35.29 (assume @p314 (forall @t6 (=> @t41 (= (tptp.relation_dom @t220) @t212)))) % 35.03/35.29 (assume @p315 (forall @t6 (=> @t41 (= @t220 (tptp.relation_composition @t39 @t2))))) % 35.03/35.29 (assume @p316 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_rng @t220) @t203)))) % 35.03/35.29 (assume @p317 (forall @t11 (= (tptp.union @t101) @t1))) % 35.03/35.29 (assume @p318 (forall @t11 (exists @t75 (and @t5 @t207 (forall @t62 (not (and @t80 (forall @t57 (not (and @t48 (forall @t55 (=> (tptp.subset @t45 @t17) @t71)))))))) @t205)))) % 35.03/35.29 (assume @p319 (forall @t21 (=> @t258 @t73))) % 35.03/35.29 (step @p320 :rule bool-impl-elim :args (@t16 @t260)) % 35.03/35.29 (step @p321 :rule cong :premises (@p320) :args ((forall @t11 (=> @t16 @t260)))) % 35.03/35.29 (step @p322 :rule aci_norm :args ((= (or (or @t193 @t192) @t73) @t259))) % 35.03/35.29 (step @p323 :rule refl :args (@t73)) % 35.03/35.29 (step @p324 :rule bool-and-de-morgan :args (@t120 @t186 true)) % 35.03/35.29 (step @p325 :rule nary_cong :premises (@p324 @p323) :args ((or (not @t187) @t73))) % 35.03/35.29 (step @p326 :rule trans :premises (@p325 @p322)) % 35.03/35.29 (step @p327 :rule bool-impl-elim :args (@t187 @t73)) % 35.03/35.29 (step @p328 :rule trans :premises (@p327 @p326)) % 35.03/35.29 (step @p329 :rule cong :premises (@p328) :args (@t188)) % 35.03/35.29 (step @p330 :rule refl :args (@t64)) % 35.03/35.29 (step @p331 :rule cong :premises (@p330 @p329) :args (@t189)) % 35.03/35.29 (step @p332 :rule refl :args (@t16)) % 35.03/35.29 (step @p333 :rule cong :premises (@p332 @p331) :args (@t190)) % 35.03/35.29 (step @p334 :rule cong :premises (@p333) :args (@t191)) % 35.03/35.29 (step @p335 :rule trans :premises (@p334 @p321)) % 35.03/35.29 (step @p336 :rule eq_resolve :premises (@p144 @p335)) % 35.03/35.29 (step @p337 :rule instantiate :premises (@p336) :args ((@list @t262))) % 35.03/35.29 (step @p338 :rule instantiate :premises (@p78) :args ((@list @t261))) % 35.03/35.29 (step @p339 :rule cnf_or_pos :args (@t268)) % 35.03/35.29 (step @p340 :rule reordering :premises (@p339) :args ((or @t267 @t265 (not @t268)))) % 35.03/35.29 (step @p341 :rule chain_m_resolution :premises (@p340 @p338 @p337) :args (@t265 @t269 (@list @t266 @t268))) % 35.03/35.29 (step @p342 :rule skolemize :premises (@p286)) % 35.03/35.29 (step @p343 :rule cnf_equiv_pos2 :args (@t265)) % 35.03/35.29 (step @p344 :rule reordering :premises (@p343) :args ((or @t264 @t270 (not @t265)))) % 35.03/35.29 (step @p345 :rule chain_m_resolution :premises (@p344 @p342 @p341) :args (@t270 (@list true false) (@list @t264 @t265))) % 35.03/35.29 (step @p346 :rule skolemize :premises (@p345)) % 35.03/35.29 (step @p347 :rule cnf_or_neg :args (@t278 2)) % 35.03/35.29 (step @p348 :rule chain_m_resolution :premises (@p347 @p346) :args ((not @t273) @t279 @t280)) % 35.03/35.29 (step @p349 :rule bool-impl-elim :args (@t41 @t284)) % 35.03/35.29 (step @p350 :rule cong :premises (@p349) :args ((forall @t6 (=> @t41 @t284)))) % 35.03/35.29 (step @p351 :rule aci_norm :args ((= (or (or @t282 @t281) @t91) @t283))) % 35.03/35.29 (step @p352 :rule refl :args (@t91)) % 35.03/35.29 (step @p353 :rule bool-and-de-morgan :args (@t35 @t87 true)) % 35.03/35.29 (step @p354 :rule nary_cong :premises (@p353 @p352) :args ((or (not @t92) @t91))) % 35.03/35.29 (step @p355 :rule trans :premises (@p354 @p351)) % 35.03/35.29 (step @p356 :rule bool-impl-elim :args (@t92 @t91)) % 35.03/35.29 (step @p357 :rule trans :premises (@p356 @p355)) % 35.03/35.29 (step @p358 :rule cong :premises (@p357) :args (@t93)) % 35.03/35.29 (step @p359 :rule eq-symm :args (@t94 @t1)) % 35.03/35.29 (step @p360 :rule nary_cong :premises (@p359 @p358) :args (@t95)) % 35.03/35.29 (step @p361 :rule refl :args (@t97)) % 35.03/35.29 (step @p362 :rule cong :premises (@p361 @p360) :args (@t98)) % 35.03/35.29 (step @p363 :rule refl :args (@t41)) % 35.03/35.29 (step @p364 :rule cong :premises (@p363 @p362) :args (@t99)) % 35.03/35.29 (step @p365 :rule cong :premises (@p364) :args (@t100)) % 35.03/35.29 (step @p366 :rule trans :premises (@p365 @p350)) % 35.03/35.29 (step @p367 :rule eq_resolve :premises (@p34 @p366)) % 35.03/35.29 (step @p368 :rule bool-eq-true :args (@t291)) % 35.03/35.29 (step @p369 :rule eq-symm :args (true @t291)) % 35.03/35.29 (step @p370 :rule trans :premises (@p369 @p368)) % 35.03/35.29 (step @p371 :rule eq-symm :args (@t285 @t90)) % 35.03/35.29 (step @p372 :rule refl :args (@t286)) % 35.03/35.29 (step @p373 :rule refl :args (@t287)) % 35.03/35.29 (step @p374 :rule nary_cong :premises (@p373 @p372 @p371) :args (@t292)) % 35.03/35.29 (step @p375 :rule cong :premises (@p374) :args (@t293)) % 35.03/35.29 (step @p376 :rule refl :args (@t290)) % 35.03/35.29 (step @p377 :rule nary_cong :premises (@p376 @p375) :args (@t294)) % 35.03/35.29 (step @p378 :rule eq-refl :args (@t262)) % 35.03/35.29 (step @p379 :rule cong :premises (@p378 @p377) :args (@t295)) % 35.03/35.29 (step @p380 :rule trans :premises (@p379 @p370)) % 35.03/35.29 (step @p381 :rule refl :args (@t267)) % 35.03/35.29 (step @p382 :rule nary_cong :premises (@p381 @p380) :args (@t296)) % 35.03/35.29 (step @p383 :rule refl :args (@t297)) % 35.03/35.29 (step @p384 :rule cong :premises (@p383 @p382) :args ((=> @t297 @t296))) % 35.03/35.29 (assume-push @p485 @t297) % 35.03/35.29 (step @p386 :rule instantiate :premises (@p367) :args ((@list @t261 @t262))) % 35.03/35.29 (step-pop @p486 :rule scope :premises (@p386)) % 35.03/35.29 (step @p387 :rule process_scope :premises (@p486) :args (@t296)) % 35.03/35.29 (step @p389 :rule eq_resolve :premises (@p387 @p384)) % 35.03/35.29 (step @p390 :rule implies_elim :premises (@p389)) % 35.03/35.29 (step @p391 :rule chain_m_resolution :premises (@p390 @p367) :args (@t298 @t299 (@list @t297))) % 35.03/35.29 (step @p392 :rule cnf_or_pos :args (@t298)) % 35.03/35.29 (step @p393 :rule reordering :premises (@p392) :args ((or @t267 @t291 (not @t298)))) % 35.03/35.29 (step @p394 :rule chain_m_resolution :premises (@p393 @p338 @p391) :args (@t291 @t269 (@list @t266 @t298))) % 35.03/35.29 (step @p395 :rule cnf_and_pos :args (@t291 1)) % 35.03/35.29 (step @p396 :rule reordering :premises (@p395) :args ((or @t288 @t300))) % 35.03/35.29 (step @p397 :rule chain_m_resolution :premises (@p396 @p394) :args (@t288 @t299 @t301)) % 35.03/35.29 (step @p398 :rule eq-symm :args (@t302 @t274)) % 35.03/35.29 (step @p399 :rule refl :args (@t304)) % 35.03/35.29 (step @p400 :rule refl :args (@t306)) % 35.03/35.29 (step @p401 :rule nary_cong :premises (@p400 @p399 @p398) :args (@t307)) % 35.03/35.29 (step @p402 :rule refl :args (@t288)) % 35.03/35.29 (step @p403 :rule cong :premises (@p402 @p401) :args ((=> @t288 @t307))) % 35.03/35.29 (assume-push @p487 @t288) % 35.03/35.29 (step @p405 :rule instantiate :premises (@p397) :args ((@list @t271 @t272))) % 35.03/35.29 (step-pop @p488 :rule scope :premises (@p405)) % 35.03/35.29 (step @p406 :rule process_scope :premises (@p488) :args (@t307)) % 35.03/35.29 (step @p408 :rule eq_resolve :premises (@p406 @p403)) % 35.03/35.29 (step @p409 :rule implies_elim :premises (@p408)) % 35.03/35.29 (step @p410 :rule chain_m_resolution :premises (@p409 @p397) :args (@t309 @t299 @t310)) % 35.03/35.29 (step @p411 :rule aci_norm :args ((= (or @t312 (or @t311 @t236)) (or @t312 @t311 @t236)))) % 35.03/35.29 (step @p412 :rule bool-impl-elim :args (@t227 @t236)) % 35.03/35.29 (step @p413 :rule refl :args (@t312)) % 35.03/35.29 (step @p414 :rule nary_cong :premises (@p413 @p412) :args ((or @t312 @t237))) % 35.03/35.29 (step @p415 :rule trans :premises (@p414 @p411)) % 35.03/35.29 (step @p416 :rule bool-impl-elim :args (@t18 @t237)) % 35.03/35.29 (step @p417 :rule trans :premises (@p416 @p415)) % 35.03/35.29 (step @p418 :rule cong :premises (@p417) :args (@t238)) % 35.03/35.29 (step @p419 :rule eq_resolve :premises (@p237 @p418)) % 35.03/35.29 (step @p420 :rule instantiate :premises (@p419) :args ((@list @t272 @t271 @t262))) % 35.03/35.29 (step @p421 :rule bool-double-not-elim :args (@t276)) % 35.03/35.29 (step @p422 :rule refl :args (@t278)) % 35.03/35.29 (step @p423 :rule nary_cong :premises (@p422 @p421) :args ((or @t278 (not @t277)))) % 35.03/35.29 (step @p424 :rule cnf_or_neg :args (@t278 0)) % 35.03/35.29 (step @p425 :rule eq_resolve :premises (@p424 @p423)) % 35.03/35.29 (step @p426 :rule reordering :premises (@p425) :args ((or @t276 @t278))) % 35.03/35.29 (step @p427 :rule chain_m_resolution :premises (@p426 @p346) :args (@t276 @t279 @t280)) % 35.03/35.29 (step @p428 :rule cnf_or_pos :args (@t316)) % 35.03/35.29 (step @p429 :rule reordering :premises (@p428) :args ((or @t267 @t277 @t315 (not @t316)))) % 35.03/35.29 (step @p430 :rule chain_m_resolution :premises (@p429 @p338 @p427 @p420) :args (@t315 @t317 (@list @t266 @t276 @t316))) % 35.03/35.29 (step @p431 :rule cnf_and_pos :args (@t315 1)) % 35.03/35.29 (step @p432 :rule reordering :premises (@p431) :args ((or @t313 @t318))) % 35.03/35.29 (step @p433 :rule chain_m_resolution :premises (@p432 @p430) :args (@t313 @t299 @t319)) % 35.03/35.29 (step @p434 :rule true_intro :premises (@p433)) % 35.03/35.29 (step @p435 :rule cnf_and_pos :args (@t291 0)) % 35.03/35.29 (step @p436 :rule reordering :premises (@p435) :args ((or @t290 @t300))) % 35.03/35.29 (step @p437 :rule chain_m_resolution :premises (@p436 @p394) :args (@t290 @t299 @t301)) % 35.03/35.29 (step @p438 :rule refl :args (@t271)) % 35.03/35.29 (step @p439 :rule cong :premises (@p438 @p437) :args (@t305)) % 35.03/35.29 (step @p440 :rule trans :premises (@p439 @p434)) % 35.03/35.29 (step @p441 :rule true_elim :premises (@p440)) % 35.03/35.29 (step @p442 :rule cnf_and_pos :args (@t315 0)) % 35.03/35.29 (step @p443 :rule reordering :premises (@p442) :args ((or @t314 @t318))) % 35.03/35.29 (step @p444 :rule chain_m_resolution :premises (@p443 @p430) :args (@t314 @t299 @t319)) % 35.03/35.29 (step @p445 :rule true_intro :premises (@p444)) % 35.03/35.29 (step @p446 :rule refl :args (@t272)) % 35.03/35.29 (step @p447 :rule cong :premises (@p446 @p437) :args (@t303)) % 35.03/35.29 (step @p448 :rule trans :premises (@p447 @p445)) % 35.03/35.29 (step @p449 :rule true_elim :premises (@p448)) % 35.03/35.29 (step @p450 :rule cnf_or_pos :args (@t309)) % 35.03/35.29 (step @p451 :rule reordering :premises (@p450) :args ((or @t304 @t306 @t308 (not @t309)))) % 35.03/35.29 (step @p452 :rule chain_m_resolution :premises (@p451 @p449 @p441 @p410) :args (@t308 @t317 (@list @t303 @t305 @t309))) % 35.03/35.29 (step @p453 :rule bool-double-not-elim :args (@t274)) % 35.03/35.29 (step @p454 :rule nary_cong :premises (@p422 @p453) :args ((or @t278 (not @t275)))) % 35.03/35.29 (step @p455 :rule cnf_or_neg :args (@t278 1)) % 35.03/35.29 (step @p456 :rule eq_resolve :premises (@p455 @p454)) % 35.03/35.29 (step @p457 :rule reordering :premises (@p456) :args ((or @t274 @t278))) % 35.03/35.29 (step @p458 :rule chain_m_resolution :premises (@p457 @p346) :args (@t274 @t279 @t280)) % 35.03/35.29 (step @p459 :rule cnf_equiv_pos1 :args (@t308)) % 35.03/35.29 (step @p460 :rule reordering :premises (@p459) :args ((or @t275 @t302 (not @t308)))) % 35.03/35.29 (step @p461 :rule chain_m_resolution :premises (@p460 @p458 @p452) :args (@t302 @t269 (@list @t274 @t308))) % 35.03/35.29 (step @p462 :rule eq-symm :args (@t320 @t276)) % 35.03/35.29 (step @p463 :rule nary_cong :premises (@p399 @p400 @p462) :args (@t321)) % 35.03/35.29 (step @p464 :rule cong :premises (@p402 @p463) :args ((=> @t288 @t321))) % 35.03/35.29 (assume-push @p489 @t288) % 35.03/35.29 (step @p466 :rule instantiate :premises (@p397) :args (@t322)) % 35.03/35.29 (step-pop @p490 :rule scope :premises (@p466)) % 35.03/35.29 (step @p467 :rule process_scope :premises (@p490) :args (@t321)) % 35.03/35.29 (step @p469 :rule eq_resolve :premises (@p467 @p464)) % 35.03/35.29 (step @p470 :rule implies_elim :premises (@p469)) % 35.03/35.29 (step @p471 :rule chain_m_resolution :premises (@p470 @p397) :args (@t324 @t299 @t310)) % 35.03/35.29 (step @p472 :rule cnf_or_pos :args (@t324)) % 35.03/35.29 (step @p473 :rule reordering :premises (@p472) :args ((or @t304 @t306 @t323 (not @t324)))) % 35.03/35.29 (step @p474 :rule chain_m_resolution :premises (@p473 @p449 @p441 @p471) :args (@t323 @t317 (@list @t303 @t305 @t324))) % 35.03/35.29 (step @p475 :rule cnf_equiv_pos1 :args (@t323)) % 35.03/35.29 (step @p476 :rule reordering :premises (@p475) :args ((or @t277 @t320 (not @t323)))) % 35.03/35.29 (step @p477 :rule chain_m_resolution :premises (@p476 @p427 @p474) :args (@t320 @t269 (@list @t276 @t323))) % 35.03/35.29 (step @p478 :rule cnf_and_neg :args (@t325)) % 35.03/35.29 (step @p479 :rule reordering :premises (@p478) :args ((or (not @t320) (not @t302) @t325))) % 35.03/35.29 (step @p480 :rule chain_m_resolution :premises (@p479 @p477 @p461) :args (@t325 @t269 (@list @t320 @t302))) % 35.03/35.29 (step @p481 :rule instantiate :premises (@p15) :args (@t322)) % 35.03/35.29 (step @p482 :rule cnf_equiv_pos2 :args (@t326)) % 35.03/35.29 (step @p483 :rule reordering :premises (@p482) :args ((or @t273 (not @t325) (not @t326)))) % 35.03/35.29 (step @p484 false :rule chain_m_resolution :premises (@p483 @p481 @p480 @p348) :args (false (@list false false true) (@list @t326 @t325 @t273))) % 35.03/35.29 ) % 35.03/35.29 % SZS output end Proof % 35.03/35.29 % cvc5 exiting %------------------------------------------------------------------------------