%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU267+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:51:11 AM UTC 2026 % Result : Theorem 16.16s 16.47s % Output : Proof 16.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU267+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n028.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:49:20 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.55 %----Proving TF0_NAR, FOF, or CNF % 16.16/16.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.16/16.47 --- Run --no-e-matching --full-saturate-quant at 6... % 16.16/16.47 % SZS status Theorem % 16.16/16.47 % SZS output start Proof % 16.16/16.47 ( % 16.16/16.47 (declare-sort $$unsorted 0) % 16.16/16.47 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.empty_set $$unsorted) % 16.16/16.47 (declare-const tptp.function (-> $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.relation (-> $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.transitive (-> $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (declare-const tptp.connected (-> $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.empty (-> $$unsorted Bool)) % 16.16/16.47 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.47 (define @t1 () (@var "A" $$unsorted)) % 16.16/16.47 (define @t2 () (@var "B" $$unsorted)) % 16.16/16.47 (define @t3 () (tptp.in @t2 @t1)) % 16.16/16.47 (define @t4 () (not @t3)) % 16.16/16.47 (define @t5 () (tptp.in @t1 @t2)) % 16.16/16.47 (define @t6 () (@list @t1 @t2)) % 16.16/16.47 (define @t7 () (tptp.proper_subset @t2 @t1)) % 16.16/16.47 (define @t8 () (tptp.proper_subset @t1 @t2)) % 16.16/16.47 (define @t9 () (tptp.function @t1)) % 16.16/16.47 (define @t10 () (tptp.empty @t1)) % 16.16/16.47 (define @t11 () (@list @t1)) % 16.16/16.47 (define @t12 () (tptp.epsilon_connected @t1)) % 16.16/16.47 (define @t13 () (tptp.epsilon_transitive @t1)) % 16.16/16.47 (define @t14 () (and @t13 @t12)) % 16.16/16.47 (define @t15 () (tptp.ordinal @t1)) % 16.16/16.47 (define @t16 () (tptp.relation @t1)) % 16.16/16.47 (define @t17 () (@var "C" $$unsorted)) % 16.16/16.47 (define @t18 () (tptp.relation @t17)) % 16.16/16.47 (define @t19 () (tptp.cartesian_product2 @t1 @t2)) % 16.16/16.47 (define @t20 () (tptp.element @t17 (tptp.powerset @t19))) % 16.16/16.47 (define @t21 () (@list @t1 @t2 @t17)) % 16.16/16.47 (define @t22 () (tptp.one_to_one @t1)) % 16.16/16.47 (define @t23 () (and @t16 @t9 @t22)) % 16.16/16.47 (define @t24 () (and @t16 @t10 @t9)) % 16.16/16.47 (define @t25 () (and @t13 @t12 @t15)) % 16.16/16.47 (define @t26 () (tptp.unordered_pair @t1 @t2)) % 16.16/16.47 (define @t27 () (tptp.set_union2 @t2 @t1)) % 16.16/16.47 (define @t28 () (tptp.set_union2 @t1 @t2)) % 16.16/16.47 (define @t29 () (tptp.set_intersection2 @t1 @t2)) % 16.16/16.47 (define @t30 () (tptp.ordinal_subset @t1 @t2)) % 16.16/16.47 (define @t31 () (tptp.ordinal @t2)) % 16.16/16.47 (define @t32 () (and @t15 @t31)) % 16.16/16.47 (define @t33 () (@var "D" $$unsorted)) % 16.16/16.47 (define @t34 () (= @t17 @t33)) % 16.16/16.47 (define @t35 () (tptp.in @t17 @t1)) % 16.16/16.47 (define @t36 () (tptp.ordered_pair @t17 @t33)) % 16.16/16.47 (define @t37 () (tptp.in @t36 @t2)) % 16.16/16.47 (define @t38 () (@list @t17 @t33)) % 16.16/16.47 (define @t39 () (tptp.identity_relation @t1)) % 16.16/16.47 (define @t40 () (= @t2 @t39)) % 16.16/16.47 (define @t41 () (tptp.relation @t2)) % 16.16/16.47 (define @t42 () (tptp.subset @t2 @t1)) % 16.16/16.47 (define @t43 () (tptp.subset @t1 @t2)) % 16.16/16.47 (define @t44 () (= @t1 @t2)) % 16.16/16.47 (define @t45 () (@var "E" $$unsorted)) % 16.16/16.47 (define @t46 () (tptp.ordered_pair @t33 @t45)) % 16.16/16.47 (define @t47 () (tptp.in @t46 @t1)) % 16.16/16.47 (define @t48 () (tptp.in @t33 @t2)) % 16.16/16.47 (define @t49 () (tptp.in @t46 @t17)) % 16.16/16.47 (define @t50 () (@list @t33 @t45)) % 16.16/16.47 (define @t51 () (tptp.relation_dom_restriction @t1 @t2)) % 16.16/16.47 (define @t52 () (@list @t2 @t17)) % 16.16/16.47 (define @t53 () (tptp.in @t45 @t2)) % 16.16/16.47 (define @t54 () (tptp.relation_dom @t1)) % 16.16/16.47 (define @t55 () (@list @t45)) % 16.16/16.47 (define @t56 () (tptp.in @t33 @t17)) % 16.16/16.47 (define @t57 () (@list @t33)) % 16.16/16.47 (define @t58 () (= @t17 (tptp.relation_image @t1 @t2))) % 16.16/16.47 (define @t59 () (and @t16 @t9)) % 16.16/16.47 (define @t60 () (tptp.in @t45 @t1)) % 16.16/16.47 (define @t61 () (tptp.relation_rng_restriction @t1 @t2)) % 16.16/16.47 (define @t62 () (@list @t17)) % 16.16/16.47 (define @t63 () (tptp.relation_field @t1)) % 16.16/16.47 (define @t64 () (tptp.antisymmetric @t1)) % 16.16/16.47 (define @t65 () (tptp.apply @t1 @t33)) % 16.16/16.47 (define @t66 () (tptp.in @t33 @t54)) % 16.16/16.47 (define @t67 () (= @t17 (tptp.relation_inverse_image @t1 @t2))) % 16.16/16.47 (define @t68 () (tptp.ordered_pair @t45 @t33)) % 16.16/16.47 (define @t69 () (tptp.connected @t1)) % 16.16/16.47 (define @t70 () (tptp.transitive @t1)) % 16.16/16.47 (define @t71 () (tptp.in @t45 @t33)) % 16.16/16.47 (define @t72 () (@list @t1 @t2 @t17 @t33)) % 16.16/16.47 (define @t73 () (= @t2 @t17)) % 16.16/16.47 (define @t74 () (= @t1 @t36)) % 16.16/16.47 (define @t75 () (forall @t38 (=> @t74 @t73))) % 16.16/16.47 (define @t76 () (tptp.pair_first @t1)) % 16.16/16.47 (define @t77 () (= @t2 @t76)) % 16.16/16.47 (define @t78 () (= @t77 @t75)) % 16.16/16.47 (define @t79 () (@list @t2)) % 16.16/16.47 (define @t80 () (forall @t79 @t78)) % 16.16/16.47 (define @t81 () (tptp.ordered_pair @t2 @t17)) % 16.16/16.47 (define @t82 () (= @t1 @t81)) % 16.16/16.47 (define @t83 () (exists @t52 @t82)) % 16.16/16.47 (define @t84 () (=> @t83 @t80)) % 16.16/16.47 (define @t85 () (forall @t11 @t84)) % 16.16/16.47 (define @t86 () (tptp.singleton @t1)) % 16.16/16.47 (define @t87 () (tptp.succ @t1)) % 16.16/16.47 (define @t88 () (tptp.in @t17 @t2)) % 16.16/16.47 (define @t89 () (tptp.is_reflexive_in @t1 @t2)) % 16.16/16.47 (define @t90 () (tptp.relation_of2 @t17 @t1 @t2)) % 16.16/16.47 (define @t91 () (= @t2 tptp.empty_set)) % 16.16/16.47 (define @t92 () (= @t2 (tptp.set_meet @t1))) % 16.16/16.47 (define @t93 () (= @t1 tptp.empty_set)) % 16.16/16.47 (define @t94 () (tptp.in @t17 @t33)) % 16.16/16.47 (define @t95 () (tptp.in @t33 @t1)) % 16.16/16.47 (define @t96 () (not @t93)) % 16.16/16.47 (define @t97 () (= @t33 @t2)) % 16.16/16.47 (define @t98 () (tptp.powerset @t1)) % 16.16/16.47 (define @t99 () (= @t2 @t33)) % 16.16/16.47 (define @t100 () (forall @t38 (=> @t74 @t99))) % 16.16/16.47 (define @t101 () (tptp.pair_second @t1)) % 16.16/16.47 (define @t102 () (= @t2 @t101)) % 16.16/16.47 (define @t103 () (= @t102 @t100)) % 16.16/16.47 (define @t104 () (forall @t79 @t103)) % 16.16/16.47 (define @t105 () (=> @t83 @t104)) % 16.16/16.47 (define @t106 () (forall @t11 @t105)) % 16.16/16.47 (define @t107 () (tptp.in @t36 @t1)) % 16.16/16.47 (define @t108 () (tptp.empty @t2)) % 16.16/16.47 (define @t109 () (tptp.element @t2 @t1)) % 16.16/16.47 (define @t110 () (not @t10)) % 16.16/16.47 (define @t111 () (not @t91)) % 16.16/16.47 (define @t112 () (tptp.well_founded_relation @t1)) % 16.16/16.47 (define @t113 () (@var "F" $$unsorted)) % 16.16/16.47 (define @t114 () (not @t88)) % 16.16/16.47 (define @t115 () (not @t73)) % 16.16/16.47 (define @t116 () (tptp.in @t2 @t17)) % 16.16/16.47 (define @t117 () (forall @t62 (=> @t35 @t88))) % 16.16/16.47 (define @t118 () (= @t17 tptp.empty_set)) % 16.16/16.47 (define @t119 () (tptp.subset @t17 @t2)) % 16.16/16.47 (define @t120 () (tptp.is_well_founded_in @t1 @t2)) % 16.16/16.47 (define @t121 () (tptp.apply @t1 @t2)) % 16.16/16.47 (define @t122 () (= @t17 @t121)) % 16.16/16.47 (define @t123 () (tptp.in @t2 @t54)) % 16.16/16.47 (define @t124 () (tptp.in @t81 @t1)) % 16.16/16.47 (define @t125 () (tptp.in (tptp.ordered_pair @t33 @t17) @t1)) % 16.16/16.47 (define @t126 () (tptp.is_antisymmetric_in @t1 @t2)) % 16.16/16.47 (define @t127 () (tptp.cast_to_subset @t1)) % 16.16/16.47 (define @t128 () (tptp.union @t1)) % 16.16/16.47 (define @t129 () (tptp.reflexive @t1)) % 16.16/16.47 (define @t130 () (tptp.well_ordering @t1)) % 16.16/16.47 (define @t131 () (tptp.set_difference @t1 @t2)) % 16.16/16.47 (define @t132 () (and @t66 (= @t17 @t65))) % 16.16/16.47 (define @t133 () (tptp.relation_rng @t1)) % 16.16/16.47 (define @t134 () (= @t2 @t133)) % 16.16/16.47 (define @t135 () (tptp.subset_complement @t1 @t2)) % 16.16/16.47 (define @t136 () (tptp.element @t2 @t98)) % 16.16/16.47 (define @t137 () (tptp.ordered_pair @t1 @t2)) % 16.16/16.47 (define @t138 () (tptp.is_connected_in @t1 @t2)) % 16.16/16.47 (define @t139 () (tptp.is_transitive_in @t1 @t2)) % 16.16/16.47 (define @t140 () (tptp.being_limit_ordinal @t1)) % 16.16/16.47 (define @t141 () (tptp.cartesian_product2 @t2 @t2)) % 16.16/16.47 (define @t142 () (tptp.relation_restriction @t1 @t2)) % 16.16/16.47 (define @t143 () (tptp.relation_inverse @t1)) % 16.16/16.47 (define @t144 () (tptp.apply @t17 @t33)) % 16.16/16.47 (define @t145 () (tptp.relation_field @t2)) % 16.16/16.47 (define @t146 () (tptp.relation_rng @t17)) % 16.16/16.47 (define @t147 () (tptp.relation_dom @t17)) % 16.16/16.47 (define @t148 () (tptp.relation_isomorphism @t1 @t2 @t17)) % 16.16/16.47 (define @t149 () (and @t18 (tptp.function @t17))) % 16.16/16.47 (define @t150 () (tptp.disjoint @t1 @t2)) % 16.16/16.47 (define @t151 () (tptp.relation_composition @t1 @t2)) % 16.16/16.47 (define @t152 () (tptp.complements_of_subsets @t1 @t2)) % 16.16/16.47 (define @t153 () (tptp.powerset @t98)) % 16.16/16.47 (define @t154 () (tptp.element @t2 @t153)) % 16.16/16.47 (define @t155 () (not @t44)) % 16.16/16.47 (define @t156 () (tptp.function_inverse @t1)) % 16.16/16.47 (define @t157 () (tptp.relation @t143)) % 16.16/16.47 (define @t158 () (tptp.relation_dom_as_subset @t1 @t2 @t17)) % 16.16/16.47 (define @t159 () (tptp.relation @t151)) % 16.16/16.47 (define @t160 () (and @t16 @t41)) % 16.16/16.47 (define @t161 () (tptp.powerset @t2)) % 16.16/16.47 (define @t162 () (tptp.relation_rng_as_subset @t1 @t2 @t17)) % 16.16/16.47 (define @t163 () (tptp.union_of_subsets @t1 @t2)) % 16.16/16.47 (define @t164 () (tptp.relation @t39)) % 16.16/16.47 (define @t165 () (tptp.meet_of_subsets @t1 @t2)) % 16.16/16.47 (define @t166 () (tptp.subset_difference @t1 @t2 @t17)) % 16.16/16.47 (define @t167 () (tptp.element @t17 @t98)) % 16.16/16.47 (define @t168 () (and @t136 @t167)) % 16.16/16.47 (define @t169 () (tptp.relation @t51)) % 16.16/16.47 (define @t170 () (tptp.relation @t61)) % 16.16/16.47 (define @t171 () (tptp.relation_of2_as_subset @t17 @t1 @t2)) % 16.16/16.47 (define @t172 () (tptp.relation_composition @t2 @t1)) % 16.16/16.47 (define @t173 () (and @t10 @t41)) % 16.16/16.47 (define @t174 () (tptp.relation_empty_yielding tptp.empty_set)) % 16.16/16.47 (define @t175 () (tptp.relation tptp.empty_set)) % 16.16/16.47 (define @t176 () (tptp.empty tptp.empty_set)) % 16.16/16.47 (define @t177 () (tptp.relation_empty_yielding @t1)) % 16.16/16.47 (define @t178 () (and @t16 @t177)) % 16.16/16.47 (define @t179 () (tptp.function @t2)) % 16.16/16.47 (define @t180 () (not (tptp.empty @t87))) % 16.16/16.47 (define @t181 () (not @t108)) % 16.16/16.47 (define @t182 () (and @t41 @t179)) % 16.16/16.47 (define @t183 () (tptp.empty @t54)) % 16.16/16.47 (define @t184 () (and @t110 @t16)) % 16.16/16.47 (define @t185 () (tptp.empty @t133)) % 16.16/16.47 (define @t186 () (tptp.in @t2 @t63)) % 16.16/16.47 (define @t187 () (tptp.disjoint @t86 @t2)) % 16.16/16.47 (define @t188 () (not @t5)) % 16.16/16.47 (define @t189 () (tptp.relation_dom @t2)) % 16.16/16.47 (define @t190 () (tptp.in (tptp.ordered_pair @t17 @t2) @t1)) % 16.16/16.47 (define @t191 () (not @t124)) % 16.16/16.47 (define @t192 () (tptp.singleton @t2)) % 16.16/16.47 (define @t193 () (tptp.union @t2)) % 16.16/16.47 (define @t194 () (tptp.in @t1 @t17)) % 16.16/16.47 (define @t195 () (tptp.element @t1 @t161)) % 16.16/16.47 (define @t196 () (tptp.relation_dom_restriction @t17 @t1)) % 16.16/16.47 (define @t197 () (tptp.in @t2 (tptp.relation_dom @t196))) % 16.16/16.47 (define @t198 () (tptp.set_difference @t2 @t17)) % 16.16/16.47 (define @t199 () (= @t1 @t17)) % 16.16/16.47 (define @t200 () (tptp.relation_rng @t61)) % 16.16/16.47 (define @t201 () (tptp.relation_rng @t2)) % 16.16/16.47 (define @t202 () (tptp.cartesian_product2 @t1 @t17)) % 16.16/16.47 (define @t203 () (forall @t62 (not (and @t119 (not (tptp.are_equipotent @t17 @t2)) @t114)))) % 16.16/16.47 (define @t204 () (tptp.powerset @t17)) % 16.16/16.47 (define @t205 () (forall @t38 (=> (and @t88 (tptp.subset @t33 @t17)) @t48))) % 16.16/16.47 (define @t206 () (tptp.relation_dom_restriction @t17 @t2)) % 16.16/16.47 (define @t207 () (tptp.relation_image @t2 @t1)) % 16.16/16.47 (define @t208 () (tptp.relation_inverse_image @t2 @t1)) % 16.16/16.47 (define @t209 () (tptp.relation_image @t2 @t208)) % 16.16/16.47 (define @t210 () (tptp.set_intersection2 @t189 @t1)) % 16.16/16.47 (define @t211 () (tptp.subset @t1 @t201)) % 16.16/16.47 (define @t212 () (tptp.relation_of2_as_subset @t33 @t17 @t2)) % 16.16/16.47 (define @t213 () (tptp.relation_of2_as_subset @t33 @t17 @t1)) % 16.16/16.47 (define @t214 () (tptp.relation_rng @t151)) % 16.16/16.47 (define @t215 () (tptp.relation_inverse_image @t17 @t2)) % 16.16/16.47 (define @t216 () (tptp.relation_restriction @t17 @t2)) % 16.16/16.47 (define @t217 () (tptp.relation_restriction @t2 @t1)) % 16.16/16.47 (define @t218 () (tptp.relation_dom_restriction @t2 @t1)) % 16.16/16.47 (define @t219 () (tptp.relation_field @t17)) % 16.16/16.47 (define @t220 () (tptp.in @t1 @t219)) % 16.16/16.47 (define @t221 () (tptp.set_intersection2 @t2 @t17)) % 16.16/16.47 (define @t222 () (tptp.subset @t1 @t17)) % 16.16/16.47 (define @t223 () (tptp.element @t1 @t2)) % 16.16/16.47 (define @t224 () (tptp.in @t1 @t147)) % 16.16/16.47 (define @t225 () (tptp.in @t137 @t17)) % 16.16/16.47 (define @t226 () (tptp.relation_field @t217)) % 16.16/16.47 (define @t227 () (tptp.apply @t17 @t1)) % 16.16/16.47 (define @t228 () (tptp.relation_composition @t17 @t2)) % 16.16/16.47 (define @t229 () (tptp.in @t1 (tptp.relation_dom @t228))) % 16.16/16.47 (define @t230 () (tptp.reflexive @t2)) % 16.16/16.47 (define @t231 () (tptp.connected @t2)) % 16.16/16.47 (define @t232 () (tptp.transitive @t2)) % 16.16/16.47 (define @t233 () (tptp.antisymmetric @t2)) % 16.16/16.47 (define @t234 () (tptp.well_founded_relation @t2)) % 16.16/16.47 (define @t235 () (tptp.well_ordering @t2)) % 16.16/16.47 (define @t236 () (tptp.apply @t2 @t17)) % 16.16/16.47 (define @t237 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 16.16/16.47 (define @t238 () (and @t35 @t88)) % 16.16/16.47 (define @t239 () (not @t150)) % 16.16/16.47 (define @t240 () (tptp.succ @t2)) % 16.16/16.47 (define @t241 () (= @t1 @t240)) % 16.16/16.47 (define @t242 () (tptp.subset_complement @t1 @t17)) % 16.16/16.47 (define @t243 () (tptp.disjoint @t2 @t17)) % 16.16/16.47 (define @t244 () (tptp.relation_dom @t151)) % 16.16/16.47 (define @t245 () (tptp.element @t2 @t204)) % 16.16/16.47 (define @t246 () (tptp.in @t17 @t29)) % 16.16/16.47 (define @t247 () (and (tptp.in @t17 @t133) (= @t33 @t236))) % 16.16/16.47 (define @t248 () (tptp.function_inverse @t2)) % 16.16/16.47 (define @t249 () (= @t133 tptp.empty_set)) % 16.16/16.47 (define @t250 () (= @t54 tptp.empty_set)) % 16.16/16.47 (define @t251 () (= (tptp.apply @t196 @t2) (tptp.apply @t17 @t2))) % 16.16/16.47 (define @t252 () (tptp.pair_second @t137)) % 16.16/16.47 (define @t253 () (tptp.pair_first @t137)) % 16.16/16.47 (define @t254 () (and (= @t253 @t1) (= @t252 @t2))) % 16.16/16.47 (define @t255 () (forall @t6 @t254)) % 16.16/16.47 (define @t256 () (not @t255)) % 16.16/16.47 (define @t257 () (= @t86 (tptp.unordered_pair @t2 @t17))) % 16.16/16.47 (define @t258 () (@var "BOUND_VARIABLE_9528" $$unsorted)) % 16.16/16.47 (define @t259 () (= @t17 @t258)) % 16.16/16.47 (define @t260 () (@var "BOUND_VARIABLE_9523" $$unsorted)) % 16.16/16.47 (define @t261 () (@var "BOUND_VARIABLE_9521" $$unsorted)) % 16.16/16.47 (define @t262 () (tptp.ordered_pair @t261 @t260)) % 16.16/16.47 (define @t263 () (tptp.pair_first @t262)) % 16.16/16.47 (define @t264 () (= (= @t258 @t263) (forall @t38 (or (not (= @t36 @t262)) @t259)))) % 16.16/16.47 (define @t265 () (not (= @t262 @t36))) % 16.16/16.47 (define @t266 () (or @t265 @t259)) % 16.16/16.47 (define @t267 () (forall @t38 @t266)) % 16.16/16.47 (define @t268 () (= (= @t263 @t258) @t267)) % 16.16/16.47 (define @t269 () (not (= @t262 @t262))) % 16.16/16.47 (define @t270 () (or @t269 @t268)) % 16.16/16.47 (define @t271 () (@list @t261 @t260 @t258)) % 16.16/16.47 (define @t272 () (not @t74)) % 16.16/16.47 (define @t273 () (= (= @t76 @t258) (forall @t38 (or @t272 @t259)))) % 16.16/16.47 (define @t274 () (not (= @t1 @t262))) % 16.16/16.47 (define @t275 () (or @t274 @t274 @t273)) % 16.16/16.47 (define @t276 () (or @t274 @t273)) % 16.16/16.47 (define @t277 () (forall @t11 @t276)) % 16.16/16.47 (define @t278 () (forall @t271 @t277)) % 16.16/16.47 (define @t279 () (forall (@list @t261 @t260 @t258 @t1) @t276)) % 16.16/16.47 (define @t280 () (@list @t1 @t261 @t260 @t258)) % 16.16/16.47 (define @t281 () (or @t272 (= @t258 @t17))) % 16.16/16.47 (define @t282 () (forall @t38 @t281)) % 16.16/16.47 (define @t283 () (= (= @t258 @t76) @t282)) % 16.16/16.47 (define @t284 () (or @t274 @t283)) % 16.16/16.47 (define @t285 () (forall @t280 @t284)) % 16.16/16.47 (define @t286 () (forall @t271 @t284)) % 16.16/16.47 (define @t287 () (forall (@list @t258) @t283)) % 16.16/16.47 (define @t288 () (@list @t2)) % 16.16/16.47 (define @t289 () (forall (@list @t261 @t260) @t274)) % 16.16/16.47 (define @t290 () (@list @t2 @t17)) % 16.16/16.47 (define @t291 () (or @t289 @t287)) % 16.16/16.47 (define @t292 () (forall @t79 (= @t77 (forall @t38 (or @t272 @t73))))) % 16.16/16.47 (define @t293 () (forall @t52 (not @t82))) % 16.16/16.47 (define @t294 () (not @t293)) % 16.16/16.47 (define @t295 () (not @t294)) % 16.16/16.47 (define @t296 () (@var "BOUND_VARIABLE_12210" $$unsorted)) % 16.16/16.47 (define @t297 () (@var "BOUND_VARIABLE_12208" $$unsorted)) % 16.16/16.47 (define @t298 () (forall (@list @t297 @t296) (= @t297 (tptp.pair_first (tptp.ordered_pair @t297 @t296))))) % 16.16/16.47 (define @t299 () (@quantifiers_skolemize @t298 1)) % 16.16/16.47 (define @t300 () (@quantifiers_skolemize @t298 0)) % 16.16/16.47 (define @t301 () (tptp.ordered_pair @t300 @t299)) % 16.16/16.47 (define @t302 () (tptp.pair_first @t301)) % 16.16/16.47 (define @t303 () (forall @t38 (or (not (= @t36 @t301)) (= @t17 @t302)))) % 16.16/16.47 (define @t304 () (= (= @t302 @t302) @t303)) % 16.16/16.47 (define @t305 () (forall @t271 @t264)) % 16.16/16.47 (define @t306 () (@list false)) % 16.16/16.47 (define @t307 () (= @t300 @t302)) % 16.16/16.47 (define @t308 () (not (= @t301 @t301))) % 16.16/16.47 (define @t309 () (or @t308 @t307)) % 16.16/16.47 (define @t310 () (not @t307)) % 16.16/16.47 (define @t311 () (not @t298)) % 16.16/16.47 (define @t312 () (= @t2 @t252)) % 16.16/16.47 (define @t313 () (forall @t6 @t312)) % 16.16/16.47 (define @t314 () (@list @t1 @t2)) % 16.16/16.47 (define @t315 () (@var "BOUND_VARIABLE_12219" $$unsorted)) % 16.16/16.47 (define @t316 () (@var "BOUND_VARIABLE_12217" $$unsorted)) % 16.16/16.47 (define @t317 () (= @t1 @t253)) % 16.16/16.47 (define @t318 () (forall @t6 @t317)) % 16.16/16.47 (define @t319 () (and @t318 @t313)) % 16.16/16.47 (define @t320 () (forall (@list @t316 @t315) (= @t315 (tptp.pair_second (tptp.ordered_pair @t316 @t315))))) % 16.16/16.47 (define @t321 () (not @t320)) % 16.16/16.47 (define @t322 () (@quantifiers_skolemize @t320 1)) % 16.16/16.47 (define @t323 () (@quantifiers_skolemize @t320 0)) % 16.16/16.47 (define @t324 () (tptp.ordered_pair @t323 @t322)) % 16.16/16.47 (define @t325 () (tptp.pair_second @t324)) % 16.16/16.47 (define @t326 () (= @t322 @t325)) % 16.16/16.47 (define @t327 () (not @t326)) % 16.16/16.47 (define @t328 () (@var "BOUND_VARIABLE_9716" $$unsorted)) % 16.16/16.47 (define @t329 () (= @t33 @t328)) % 16.16/16.47 (define @t330 () (@var "BOUND_VARIABLE_9711" $$unsorted)) % 16.16/16.47 (define @t331 () (@var "BOUND_VARIABLE_9709" $$unsorted)) % 16.16/16.47 (define @t332 () (tptp.ordered_pair @t331 @t330)) % 16.16/16.47 (define @t333 () (tptp.pair_second @t332)) % 16.16/16.47 (define @t334 () (= (= @t328 @t333) (forall @t38 (or (not (= @t36 @t332)) @t329)))) % 16.16/16.47 (define @t335 () (not (= @t332 @t36))) % 16.16/16.47 (define @t336 () (or @t335 @t329)) % 16.16/16.47 (define @t337 () (forall @t38 @t336)) % 16.16/16.47 (define @t338 () (= (= @t333 @t328) @t337)) % 16.16/16.47 (define @t339 () (not (= @t332 @t332))) % 16.16/16.47 (define @t340 () (or @t339 @t338)) % 16.16/16.47 (define @t341 () (@list @t331 @t330 @t328)) % 16.16/16.47 (define @t342 () (= (= @t101 @t328) (forall @t38 (or @t272 @t329)))) % 16.16/16.47 (define @t343 () (not (= @t1 @t332))) % 16.16/16.47 (define @t344 () (or @t343 @t343 @t342)) % 16.16/16.47 (define @t345 () (or @t343 @t342)) % 16.16/16.47 (define @t346 () (forall @t11 @t345)) % 16.16/16.47 (define @t347 () (forall @t341 @t346)) % 16.16/16.47 (define @t348 () (forall (@list @t331 @t330 @t328 @t1) @t345)) % 16.16/16.47 (define @t349 () (@list @t1 @t331 @t330 @t328)) % 16.16/16.47 (define @t350 () (or @t272 (= @t328 @t33))) % 16.16/16.47 (define @t351 () (forall @t38 @t350)) % 16.16/16.47 (define @t352 () (= (= @t328 @t101) @t351)) % 16.16/16.47 (define @t353 () (or @t343 @t352)) % 16.16/16.47 (define @t354 () (forall @t349 @t353)) % 16.16/16.47 (define @t355 () (forall @t341 @t353)) % 16.16/16.47 (define @t356 () (forall (@list @t328) @t352)) % 16.16/16.47 (define @t357 () (forall (@list @t331 @t330) @t343)) % 16.16/16.47 (define @t358 () (or @t357 @t356)) % 16.16/16.47 (define @t359 () (forall @t79 (= @t102 (forall @t38 (or @t272 @t99))))) % 16.16/16.47 (define @t360 () (forall @t38 (or (not (= @t36 @t324)) (= @t33 @t325)))) % 16.16/16.47 (define @t361 () (= (= @t325 @t325) @t360)) % 16.16/16.47 (define @t362 () (forall @t341 @t334)) % 16.16/16.47 (define @t363 () (not (= @t324 @t324))) % 16.16/16.47 (define @t364 () (or @t363 @t326)) % 16.16/16.47 (assume @p1 (forall @t6 (=> @t5 @t4))) % 16.16/16.47 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 16.16/16.47 (assume @p3 (forall @t11 (=> @t10 @t9))) % 16.16/16.47 (assume @p4 (forall @t11 (=> @t15 @t14))) % 16.16/16.47 (assume @p5 (forall @t11 (=> @t10 @t16))) % 16.16/16.47 (assume @p6 (forall @t21 (=> @t20 @t18))) % 16.16/16.47 (assume @p7 (forall @t11 (=> @t24 @t23))) % 16.16/16.47 (assume @p8 (forall @t11 (=> @t14 @t15))) % 16.16/16.47 (assume @p9 (forall @t11 (=> @t10 @t25))) % 16.16/16.47 (assume @p10 (forall @t6 (= @t26 (tptp.unordered_pair @t2 @t1)))) % 16.16/16.47 (assume @p11 (forall @t6 (= @t28 @t27))) % 16.16/16.47 (assume @p12 (forall @t6 (= @t29 (tptp.set_intersection2 @t2 @t1)))) % 16.16/16.47 (assume @p13 (forall @t6 (=> @t32 (or @t30 (tptp.ordinal_subset @t2 @t1))))) % 16.16/16.47 (assume @p14 (forall @t6 (=> @t41 (= @t40 (forall @t38 (= @t37 (and @t35 @t34))))))) % 16.16/16.47 (assume @p15 (forall @t6 (= @t44 (and @t43 @t42)))) % 16.16/16.47 (assume @p16 (forall @t11 (=> @t16 (forall @t52 (=> @t18 (= (= @t17 @t51) (forall @t50 (= @t49 (and @t48 @t47))))))))) % 16.16/16.47 (assume @p17 (forall @t11 (=> @t59 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t54) @t53 (= @t33 (tptp.apply @t1 @t45))))))))))) % 16.16/16.47 (assume @p18 (forall @t6 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t61) (forall @t50 (= @t49 (and @t60 (tptp.in @t46 @t2)))))))))) % 16.16/16.47 (assume @p19 (forall @t11 (=> @t16 (= @t64 (tptp.is_antisymmetric_in @t1 @t63))))) % 16.16/16.47 (assume @p20 (forall @t11 (=> @t59 (forall @t52 (= @t67 (forall @t57 (= @t56 (and @t66 (tptp.in @t65 @t2))))))))) % 16.16/16.47 (assume @p21 (forall @t11 (=> @t16 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t68 @t1) @t53))))))))) % 16.16/16.47 (assume @p22 (forall @t11 (=> @t16 (forall @t52 (= @t67 (forall @t57 (= @t56 (exists @t55 (and @t47 @t53))))))))) % 16.16/16.47 (assume @p23 (forall @t11 (=> @t16 (= @t69 (tptp.is_connected_in @t1 @t63))))) % 16.16/16.47 (assume @p24 (forall @t11 (=> @t16 (= @t70 (tptp.is_transitive_in @t1 @t63))))) % 16.16/16.47 (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))))))))) % 16.16/16.47 (assume @p26 @t85) % 16.16/16.47 (assume @p27 (forall @t11 (= @t87 (tptp.set_union2 @t1 @t86)))) % 16.16/16.47 (assume @p28 (forall @t11 (= @t16 (forall @t79 (not (and @t3 (forall @t38 (not (= @t2 @t36))))))))) % 16.16/16.47 (assume @p29 (forall @t11 (=> @t16 (forall @t79 (= @t89 (forall @t62 (=> @t88 (tptp.in (tptp.ordered_pair @t17 @t17) @t1)))))))) % 16.16/16.47 (assume @p30 (forall @t21 (= @t90 (tptp.subset @t17 @t19)))) % 16.16/16.47 (assume @p31 (forall @t6 (and (=> @t96 (= @t92 (forall @t62 (= @t88 (forall @t57 (=> @t95 @t94)))))) (=> @t93 (= @t92 @t91))))) % 16.16/16.47 (assume @p32 (forall @t6 (= (= @t2 @t86) (forall @t62 (= @t88 (= @t17 @t1)))))) % 16.16/16.47 (assume @p33 (forall @t11 (=> @t16 (forall @t52 (= (= @t17 (tptp.fiber @t1 @t2)) (forall @t57 (= @t56 (and (not @t97) (tptp.in (tptp.ordered_pair @t33 @t2) @t1))))))))) % 16.16/16.47 (assume @p34 (forall @t11 (= @t93 (forall @t79 @t4)))) % 16.16/16.47 (assume @p35 (forall @t6 (= (= @t2 @t98) (forall @t62 (= @t88 (tptp.subset @t17 @t1)))))) % 16.16/16.47 (assume @p36 @t106) % 16.16/16.47 (assume @p37 (forall @t11 (= @t13 (forall @t79 (=> @t3 @t42))))) % 16.16/16.47 (assume @p38 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (= @t44 (forall @t38 (= @t107 @t37)))))))) % 16.16/16.47 (assume @p39 (forall @t6 (and (=> @t110 (= @t109 @t3)) (=> @t10 (= @t109 @t108))))) % 16.16/16.47 (assume @p40 (forall @t21 (= (= @t17 @t26) (forall @t57 (= @t56 (or (= @t33 @t1) @t97)))))) % 16.16/16.47 (assume @p41 (forall @t11 (=> @t16 (= @t112 (forall @t79 (not (and (tptp.subset @t2 @t63) @t111 (forall @t62 (not (and @t88 (tptp.disjoint (tptp.fiber @t1 @t17) @t2))))))))))) % 16.16/16.47 (assume @p42 (forall @t21 (= (= @t17 @t28) (forall @t57 (= @t56 (or @t95 @t48)))))) % 16.16/16.47 (assume @p43 (forall @t21 (= (= @t17 @t19) (forall @t57 (= @t56 (exists (@list @t45 @t113) (and @t60 (tptp.in @t113 @t2) (= @t33 (tptp.ordered_pair @t45 @t113))))))))) % 16.16/16.47 (assume @p44 (forall @t11 (= @t12 (forall @t52 (not (and @t3 @t35 (not @t116) @t115 @t114)))))) % 16.16/16.47 (assume @p45 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (= @t43 (forall @t38 (=> @t107 @t37)))))))) % 16.16/16.47 (assume @p46 (forall @t6 (= @t43 @t117))) % 16.16/16.47 (assume @p47 (forall @t11 (=> @t16 (forall @t79 (= @t120 (forall @t62 (not (and @t119 (not @t118) (forall @t57 (not (and @t56 (tptp.disjoint (tptp.fiber @t1 @t33) @t17)))))))))))) % 16.16/16.47 (assume @p48 (forall @t21 (= (= @t17 @t29) (forall @t57 (= @t56 (and @t95 @t48)))))) % 16.16/16.47 (assume @p49 (forall @t11 (=> @t59 (forall @t52 (and (=> @t123 (= @t122 @t124)) (=> (not @t123) (= @t122 @t118))))))) % 16.16/16.47 (assume @p50 (forall @t11 (= @t15 @t14))) % 16.16/16.47 (assume @p51 (forall @t11 (=> @t16 (forall @t79 (= (= @t2 @t54) (forall @t62 (= @t88 (exists @t57 @t107)))))))) % 16.16/16.47 (assume @p52 (forall @t11 (=> @t16 (forall @t79 (= @t126 (forall @t38 (=> (and @t88 @t48 @t107 @t125) @t34))))))) % 16.16/16.47 (assume @p53 (forall @t11 (= @t127 @t1))) % 16.16/16.47 (assume @p54 (forall @t6 (= (= @t2 @t128) (forall @t62 (= @t88 (exists @t57 (and @t94 @t95))))))) % 16.16/16.47 (assume @p55 (forall @t11 (=> @t16 (= @t130 (and @t129 @t70 @t64 @t69 @t112))))) % 16.16/16.47 (assume @p56 (forall @t21 (= (= @t17 @t131) (forall @t57 (= @t56 (and @t95 (not @t48))))))) % 16.16/16.47 (assume @p57 (forall @t11 (=> @t59 (forall @t79 (= @t134 (forall @t62 (= @t88 (exists @t57 @t132)))))))) % 16.16/16.47 (assume @p58 (forall @t11 (=> @t16 (forall @t79 (= @t134 (forall @t62 (= @t88 (exists @t57 @t125)))))))) % 16.16/16.47 (assume @p59 (forall @t6 (=> @t136 (= @t135 @t131)))) % 16.16/16.47 (assume @p60 (forall @t6 (= @t137 (tptp.unordered_pair @t26 @t86)))) % 16.16/16.47 (assume @p61 (forall @t11 (=> @t16 (forall @t79 (= (tptp.well_orders @t1 @t2) (and @t89 @t139 @t126 @t138 @t120)))))) % 16.16/16.47 (assume @p62 (forall @t11 (= @t140 (= @t1 @t128)))) % 16.16/16.47 (assume @p63 (forall @t11 (=> @t16 (= @t63 (tptp.set_union2 @t54 @t133))))) % 16.16/16.47 (assume @p64 (forall @t11 (=> @t16 (forall @t79 (= @t138 (forall @t38 (not (and @t88 @t48 (not @t34) (not @t107) (not @t125))))))))) % 16.16/16.47 (assume @p65 (forall @t11 (=> @t16 (forall @t79 (= @t142 (tptp.set_intersection2 @t1 @t141)))))) % 16.16/16.47 (assume @p66 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (= (= @t2 @t143) (forall @t38 (= @t37 @t125)))))))) % 16.16/16.47 (assume @p67 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (forall @t62 (=> @t149 (= @t148 (and (= @t147 @t63) (= @t146 @t145) (tptp.one_to_one @t17) (forall @t50 (= @t47 (and (tptp.in @t33 @t63) (tptp.in @t45 @t63) (tptp.in (tptp.ordered_pair @t144 (tptp.apply @t17 @t45)) @t2))))))))))))) % 16.16/16.47 (assume @p68 (forall @t6 (= @t150 (= @t29 tptp.empty_set)))) % 16.16/16.47 (assume @p69 (forall @t11 (=> @t59 (= @t22 (forall @t52 (=> (and @t123 (tptp.in @t17 @t54) (= @t121 (tptp.apply @t1 @t17))) @t73)))))) % 16.16/16.47 (assume @p70 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t151) (forall @t50 (= @t49 (exists (@list @t113) (and (tptp.in (tptp.ordered_pair @t33 @t113) @t1) (tptp.in (tptp.ordered_pair @t113 @t45) @t2))))))))))))) % 16.16/16.47 (assume @p71 (forall @t11 (=> @t16 (forall @t79 (= @t139 (forall (@list @t17 @t33 @t45) (=> (and @t88 @t48 @t53 @t107 @t47) (tptp.in (tptp.ordered_pair @t17 @t45) @t1)))))))) % 16.16/16.47 (assume @p72 (forall @t6 (=> @t154 (forall @t62 (=> (tptp.element @t17 @t153) (= (= @t17 @t152) (forall @t57 (=> (tptp.element @t33 @t98) (= @t56 (tptp.in (tptp.subset_complement @t1 @t33) @t2)))))))))) % 16.16/16.47 (assume @p73 (forall @t6 (= @t8 (and @t43 @t155)))) % 16.16/16.47 (assume @p74 (forall @t11 (=> @t59 (=> @t22 (= @t156 @t143))))) % 16.16/16.47 (assume @p75 (forall @t11 (=> @t16 (= @t129 (tptp.is_reflexive_in @t1 @t63))))) % 16.16/16.47 (assume @p76 true) % 16.16/16.47 (assume @p77 (forall @t11 (=> @t59 (and (tptp.relation @t156) (tptp.function @t156))))) % 16.16/16.47 (assume @p78 (forall @t11 (tptp.element @t127 @t98))) % 16.16/16.47 (assume @p79 (forall @t6 (=> @t16 (tptp.relation @t142)))) % 16.16/16.47 (assume @p80 (forall @t6 (=> @t136 (tptp.element @t135 @t98)))) % 16.16/16.47 (assume @p81 (forall @t11 (=> @t16 @t157))) % 16.16/16.47 (assume @p82 (forall @t21 (=> @t90 (tptp.element @t158 @t98)))) % 16.16/16.47 (assume @p83 (forall @t6 (=> @t160 @t159))) % 16.16/16.47 (assume @p84 (forall @t21 (=> @t90 (tptp.element @t162 @t161)))) % 16.16/16.47 (assume @p85 (forall @t6 (=> @t154 (tptp.element @t163 @t98)))) % 16.16/16.47 (assume @p86 (forall @t11 @t164)) % 16.16/16.47 (assume @p87 (forall @t6 (=> @t154 (tptp.element @t165 @t98)))) % 16.16/16.47 (assume @p88 (forall @t21 (=> @t168 (tptp.element @t166 @t98)))) % 16.16/16.47 (assume @p89 (forall @t6 (=> @t16 @t169))) % 16.16/16.47 (assume @p90 (forall @t6 (=> @t154 (tptp.element @t152 @t153)))) % 16.16/16.47 (assume @p91 (forall @t6 (=> @t41 @t170))) % 16.16/16.47 (assume @p92 (forall @t21 (=> @t171 @t20))) % 16.16/16.47 (assume @p93 (forall @t6 (exists @t62 @t90))) % 16.16/16.47 (assume @p94 (forall @t11 (exists @t79 @t109))) % 16.16/16.47 (assume @p95 (forall @t6 (exists @t62 @t171))) % 16.16/16.47 (assume @p96 (forall @t6 (=> @t173 (and (tptp.empty @t172) (tptp.relation @t172))))) % 16.16/16.47 (assume @p97 (forall @t11 (=> @t10 (and (tptp.empty @t143) @t157)))) % 16.16/16.47 (assume @p98 (and @t176 @t175 @t174)) % 16.16/16.47 (assume @p99 (forall @t6 (=> @t178 (and @t169 (tptp.relation_empty_yielding @t51))))) % 16.16/16.47 (assume @p100 (forall @t6 (=> (and @t16 @t9 @t41 @t179) (and @t159 (tptp.function @t151))))) % 16.16/16.47 (assume @p101 (forall @t11 @t180)) % 16.16/16.47 (assume @p102 (forall @t6 (=> @t160 (tptp.relation @t29)))) % 16.16/16.47 (assume @p103 (forall @t11 (not (tptp.empty @t98)))) % 16.16/16.47 (assume @p104 @t176) % 16.16/16.47 (assume @p105 (forall @t6 (not (tptp.empty @t137)))) % 16.16/16.47 (assume @p106 (forall @t11 (and @t164 (tptp.function @t39)))) % 16.16/16.47 (assume @p107 (and @t175 @t174 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t176 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 16.16/16.47 (assume @p108 (forall @t6 (=> @t160 (tptp.relation @t28)))) % 16.16/16.47 (assume @p109 (forall @t11 (not (tptp.empty @t86)))) % 16.16/16.47 (assume @p110 (forall @t6 (=> @t110 (not (tptp.empty @t28))))) % 16.16/16.47 (assume @p111 (forall @t11 (=> @t23 (and @t157 (tptp.function @t143))))) % 16.16/16.47 (assume @p112 (forall @t11 (=> @t15 (and @t180 (tptp.epsilon_transitive @t87) (tptp.epsilon_connected @t87) (tptp.ordinal @t87))))) % 16.16/16.47 (assume @p113 (forall @t6 (=> @t160 (tptp.relation @t131)))) % 16.16/16.47 (assume @p114 (forall @t6 (not (tptp.empty @t26)))) % 16.16/16.47 (assume @p115 (forall @t6 (=> @t110 (not (tptp.empty @t27))))) % 16.16/16.47 (assume @p116 (forall @t6 (=> @t59 (and @t169 (tptp.function @t51))))) % 16.16/16.47 (assume @p117 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t128) (tptp.epsilon_connected @t128) (tptp.ordinal @t128))))) % 16.16/16.47 (assume @p118 (and @t176 @t175)) % 16.16/16.47 (assume @p119 (forall @t6 (=> (and @t110 @t181) (not (tptp.empty @t19))))) % 16.16/16.47 (assume @p120 (forall @t6 (=> @t182 (and @t170 (tptp.function @t61))))) % 16.16/16.47 (assume @p121 (forall @t11 (=> @t184 (not @t183)))) % 16.16/16.47 (assume @p122 (forall @t11 (=> @t184 (not @t185)))) % 16.16/16.47 (assume @p123 (forall @t11 (=> @t10 (and @t183 (tptp.relation @t54))))) % 16.16/16.47 (assume @p124 (forall @t11 (=> @t10 (and @t185 (tptp.relation @t133))))) % 16.16/16.47 (assume @p125 (forall @t6 (=> @t173 (and (tptp.empty @t151) @t159)))) % 16.16/16.47 (assume @p126 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 16.16/16.47 (assume @p127 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 16.16/16.47 (assume @p128 (forall @t6 (=> @t136 (= (tptp.subset_complement @t1 @t135) @t2)))) % 16.16/16.47 (assume @p129 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t143) @t1)))) % 16.16/16.47 (assume @p130 (forall @t6 (=> @t154 (= (tptp.complements_of_subsets @t1 @t152) @t2)))) % 16.16/16.47 (assume @p131 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 16.16/16.47 (assume @p132 (forall @t11 (=> @t16 (= @t129 (forall @t79 (=> @t186 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 16.16/16.47 (assume @p133 (forall @t11 (not (= @t86 tptp.empty_set)))) % 16.16/16.47 (assume @p134 (forall @t6 (=> @t5 (= (tptp.set_union2 @t86 @t2) @t2)))) % 16.16/16.47 (assume @p135 (forall @t6 (not (and @t187 @t5)))) % 16.16/16.47 (assume @p136 (forall @t6 (=> @t188 @t187))) % 16.16/16.47 (assume @p137 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_dom @t61) @t189)))) % 16.16/16.47 (assume @p138 (forall @t11 (=> @t16 (= @t70 (forall (@list @t2 @t17 @t33) (=> (and @t124 @t107) (tptp.in (tptp.ordered_pair @t2 @t33) @t1))))))) % 16.16/16.47 (assume @p139 (forall @t6 (= (tptp.subset @t86 @t2) @t5))) % 16.16/16.47 (assume @p140 (forall @t6 (= (= @t131 tptp.empty_set) @t43))) % 16.16/16.47 (assume @p141 (forall @t6 (=> @t136 (forall @t62 (=> @t88 @t35))))) % 16.16/16.47 (assume @p142 (forall @t11 (=> @t16 (= @t64 (forall @t52 (=> (and @t124 @t190) @t73)))))) % 16.16/16.47 (assume @p143 (forall @t21 (=> @t43 (or @t35 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t17))))))) % 16.16/16.47 (assume @p144 (forall @t11 (=> @t16 (= @t69 (forall @t52 (not (and @t186 (tptp.in @t17 @t63) @t115 @t191 (not @t190)))))))) % 16.16/16.47 (assume @p145 (forall @t6 (= (tptp.subset @t1 @t192) (or @t93 (= @t1 @t192))))) % 16.16/16.47 (assume @p146 (forall @t6 (=> @t5 (tptp.subset @t1 @t193)))) % 16.16/16.47 (assume @p147 (forall @t72 (= (tptp.in @t137 (tptp.cartesian_product2 @t17 @t33)) (and @t194 (tptp.in @t2 @t33))))) % 16.16/16.47 (assume @p148 (forall @t6 (=> @t117 @t195))) % 16.16/16.47 (assume @p149 (forall @t21 (=> @t149 (= @t197 (and (tptp.in @t2 @t147) @t3))))) % 16.16/16.47 (assume @p150 (exists @t11 @t59)) % 16.16/16.47 (assume @p151 (exists @t11 @t25)) % 16.16/16.47 (assume @p152 (exists @t11 (and @t10 @t16))) % 16.16/16.47 (assume @p153 (forall @t11 (=> @t110 (exists @t79 (and @t136 @t181))))) % 16.16/16.47 (assume @p154 (exists @t11 @t10)) % 16.16/16.47 (assume @p155 (exists @t11 @t24)) % 16.16/16.47 (assume @p156 (exists @t11 (and @t16 @t9 @t22 @t10 @t13 @t12 @t15))) % 16.16/16.47 (assume @p157 (exists @t11 @t184)) % 16.16/16.47 (assume @p158 (forall @t11 (exists @t79 (and @t136 @t108)))) % 16.16/16.47 (assume @p159 (exists @t11 @t110)) % 16.16/16.47 (assume @p160 (exists @t11 @t23)) % 16.16/16.47 (assume @p161 (exists @t11 (and @t110 @t13 @t12 @t15))) % 16.16/16.47 (assume @p162 (exists @t11 @t178)) % 16.16/16.47 (assume @p163 (exists @t11 (and @t16 @t177 @t9))) % 16.16/16.47 (assume @p164 (forall @t21 (=> @t90 (= @t158 @t147)))) % 16.16/16.47 (assume @p165 (forall @t21 (=> @t90 (= @t162 @t146)))) % 16.16/16.47 (assume @p166 (forall @t6 (=> @t154 (= @t163 @t193)))) % 16.16/16.47 (assume @p167 (forall @t6 (=> @t154 (= @t165 (tptp.set_meet @t2))))) % 16.16/16.47 (assume @p168 (forall @t21 (=> @t168 (= @t166 @t198)))) % 16.16/16.47 (assume @p169 (forall @t21 (= @t171 @t90))) % 16.16/16.47 (assume @p170 (forall @t6 (=> @t32 (= @t30 @t43)))) % 16.16/16.47 (assume @p171 (forall @t6 (=> @t32 (tptp.ordinal_subset @t1 @t1)))) % 16.16/16.47 (assume @p172 (forall @t6 (tptp.subset @t1 @t1))) % 16.16/16.47 (assume @p173 (forall @t6 (=> @t150 (tptp.disjoint @t2 @t1)))) % 16.16/16.47 (assume @p174 (forall @t11 (tptp.in @t1 @t87))) % 16.16/16.47 (assume @p175 (forall @t72 (not (and (= @t26 (tptp.unordered_pair @t17 @t33)) (not @t199) (not (= @t1 @t33)))))) % 16.16/16.47 (assume @p176 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t146)))))) % 16.16/16.47 (assume @p177 (forall @t6 (=> @t41 (tptp.subset @t200 @t1)))) % 16.16/16.47 (assume @p178 (forall @t6 (=> @t41 (tptp.subset @t61 @t2)))) % 16.16/16.47 (assume @p179 (forall @t6 (=> @t41 (tptp.subset @t200 @t201)))) % 16.16/16.47 (assume @p180 (forall @t21 (=> @t43 (and (tptp.subset @t202 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 16.16/16.47 (assume @p181 (forall @t6 (=> @t41 (= @t200 (tptp.set_intersection2 @t201 @t1))))) % 16.16/16.47 (assume @p182 (forall @t72 (=> (and @t43 (tptp.subset @t17 @t33)) (tptp.subset @t202 (tptp.cartesian_product2 @t2 @t33))))) % 16.16/16.47 (assume @p183 (forall @t21 (=> @t171 (and (tptp.subset @t147 @t1) (tptp.subset @t146 @t2))))) % 16.16/16.47 (assume @p184 (forall @t6 (=> @t43 (= @t28 @t2)))) % 16.16/16.47 (assume @p185 (forall @t11 (exists @t79 (and @t5 @t205 (forall @t62 (=> @t88 (tptp.in @t204 @t2))) @t203)))) % 16.16/16.47 (assume @p186 (forall @t21 (=> @t18 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t206))))) % 16.16/16.47 (assume @p187 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_image @t17 @t2)) (exists @t57 (and (tptp.in @t33 @t147) (tptp.in (tptp.ordered_pair @t33 @t1) @t17) @t48)))))) % 16.16/16.47 (assume @p188 (forall @t6 (=> @t41 (tptp.subset @t207 @t201)))) % 16.16/16.47 (assume @p189 (forall @t6 (=> @t182 (tptp.subset @t209 @t1)))) % 16.16/16.47 (assume @p190 (forall @t6 (=> @t41 (= @t207 (tptp.relation_image @t2 @t210))))) % 16.16/16.47 (assume @p191 (forall @t6 (=> @t41 (=> (tptp.subset @t1 @t189) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t207)))))) % 16.16/16.47 (assume @p192 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t54) @t133)))) % 16.16/16.47 (assume @p193 (forall @t6 (=> @t182 (=> @t211 (= @t209 @t1))))) % 16.16/16.47 (assume @p194 (forall @t72 (=> @t213 (=> (tptp.subset (tptp.relation_rng @t33) @t2) @t212)))) % 16.16/16.47 (assume @p195 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (= @t214 (tptp.relation_image @t2 @t133))))))) % 16.16/16.47 (assume @p196 (forall @t21 (=> @t18 (= (tptp.in @t1 @t215) (exists @t57 (and (tptp.in @t33 @t146) (tptp.in (tptp.ordered_pair @t1 @t33) @t17) @t48)))))) % 16.16/16.47 (assume @p197 (forall @t6 (=> @t41 (tptp.subset @t208 @t189)))) % 16.16/16.47 (assume @p198 (forall @t72 (=> @t213 (=> @t43 @t212)))) % 16.16/16.47 (assume @p199 (forall @t21 (=> @t18 (= (tptp.in @t1 @t216) (and @t194 (tptp.in @t1 @t141)))))) % 16.16/16.47 (assume @p200 (forall @t6 (=> @t41 (not (and @t96 @t211 (= @t208 tptp.empty_set)))))) % 16.16/16.47 (assume @p201 (forall @t21 (=> @t18 (=> @t43 (tptp.subset (tptp.relation_inverse_image @t17 @t1) @t215))))) % 16.16/16.47 (assume @p202 (forall @t6 (=> @t41 (= @t217 (tptp.relation_dom_restriction @t61 @t1))))) % 16.16/16.47 (assume @p203 (forall @t6 (tptp.subset @t29 @t1))) % 16.16/16.47 (assume @p204 (forall @t6 (=> @t41 (= @t217 (tptp.relation_rng_restriction @t1 @t218))))) % 16.16/16.47 (assume @p205 (forall @t21 (=> @t18 (=> (tptp.in @t1 (tptp.relation_field @t216)) (and @t220 @t5))))) % 16.16/16.47 (assume @p206 (forall @t21 (=> (and @t43 @t222) (tptp.subset @t1 @t221)))) % 16.16/16.47 (assume @p207 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 16.16/16.47 (assume @p208 (forall @t6 (=> @t5 @t223))) % 16.16/16.47 (assume @p209 (forall @t21 (=> (and @t43 (tptp.subset @t2 @t17)) @t222))) % 16.16/16.47 (assume @p210 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 16.16/16.47 (assume @p211 (forall @t21 (=> @t18 (=> @t225 (and @t224 (tptp.in @t2 @t146)))))) % 16.16/16.47 (assume @p212 (forall @t6 (=> @t41 (and (tptp.subset @t226 @t145) (tptp.subset @t226 @t1))))) % 16.16/16.47 (assume @p213 (forall @t6 (=> @t182 (forall @t62 (=> @t149 (= @t229 (and @t224 (tptp.in @t227 @t189)))))))) % 16.16/16.47 (assume @p214 (forall @t11 (=> @t13 (forall @t79 (=> @t31 (=> @t8 @t5)))))) % 16.16/16.47 (assume @p215 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t54 @t133))))) % 16.16/16.47 (assume @p216 (forall @t21 (=> @t18 (tptp.subset (tptp.fiber (tptp.relation_restriction @t17 @t1) @t2) (tptp.fiber @t17 @t2))))) % 16.16/16.47 (assume @p217 (forall @t6 (=> @t182 (forall @t62 (=> @t149 (=> @t229 (= (tptp.apply @t228 @t1) (tptp.apply @t2 @t227)))))))) % 16.16/16.47 (assume @p218 (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))))) % 16.16/16.47 (assume @p219 (forall @t6 (=> @t41 (=> @t230 (tptp.reflexive @t217))))) % 16.16/16.47 (assume @p220 (forall @t6 (=> @t182 (forall @t62 (=> @t149 (=> (tptp.in @t1 @t189) (= (tptp.apply (tptp.relation_composition @t2 @t17) @t1) (tptp.apply @t17 (tptp.apply @t2 @t1))))))))) % 16.16/16.47 (assume @p221 (forall @t6 (=> @t31 (=> @t5 @t15)))) % 16.16/16.47 (assume @p222 (forall @t21 (=> @t171 (= (forall @t57 (not (and @t48 (forall @t55 (not (tptp.in @t68 @t17)))))) (= @t162 @t2))))) % 16.16/16.47 (assume @p223 (forall @t6 (=> @t41 (=> @t231 (tptp.connected @t217))))) % 16.16/16.47 (assume @p224 (forall @t11 (=> @t15 (forall @t79 (=> @t31 (not (and @t188 @t155 @t4))))))) % 16.16/16.47 (assume @p225 (forall @t6 (=> @t41 (=> @t232 (tptp.transitive @t217))))) % 16.16/16.47 (assume @p226 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (=> @t43 (and (tptp.subset @t54 @t189) (tptp.subset @t133 @t201)))))))) % 16.16/16.47 (assume @p227 (forall @t6 (=> @t41 (=> @t233 (tptp.antisymmetric @t217))))) % 16.16/16.47 (assume @p228 (forall @t21 (=> @t43 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t221)))) % 16.16/16.47 (assume @p229 (forall @t6 (=> @t43 (= @t29 @t1)))) % 16.16/16.47 (assume @p230 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 16.16/16.47 (assume @p231 (forall @t6 (=> @t223 (or @t108 @t5)))) % 16.16/16.47 (assume @p232 (forall @t6 (=> (forall @t62 (= @t35 @t88)) @t44))) % 16.16/16.47 (assume @p233 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 16.16/16.47 (assume @p234 (forall @t21 (=> @t18 (=> @t225 (and @t220 (tptp.in @t2 @t219)))))) % 16.16/16.47 (assume @p235 (forall @t11 (=> (forall @t79 (=> @t3 (and @t31 @t42))) @t15))) % 16.16/16.47 (assume @p236 (forall @t6 (=> @t41 (=> @t234 (tptp.well_founded_relation @t217))))) % 16.16/16.47 (assume @p237 (forall @t6 (=> @t31 (not (and @t43 @t96 (forall @t62 (=> (tptp.ordinal @t17) (not (and @t35 (forall @t57 (=> (tptp.ordinal @t33) (=> @t95 (tptp.ordinal_subset @t17 @t33))))))))))))) % 16.16/16.47 (assume @p238 (forall @t6 (=> @t41 (=> @t235 (tptp.well_ordering @t217))))) % 16.16/16.47 (assume @p239 (forall @t11 (=> @t15 (forall @t79 (=> @t31 (= @t5 (tptp.ordinal_subset @t87 @t2))))))) % 16.16/16.47 (assume @p240 (forall @t21 (=> @t43 (tptp.subset (tptp.set_difference @t1 @t17) @t198)))) % 16.16/16.47 (assume @p241 (forall @t72 (=> (= @t137 @t36) (and @t199 @t99)))) % 16.16/16.47 (assume @p242 (forall @t6 (=> @t182 (= @t40 (and (= @t189 @t1) (forall @t62 (=> @t35 (= @t236 @t17)))))))) % 16.16/16.47 (assume @p243 (forall @t6 (=> @t3 (= (tptp.apply @t39 @t2) @t2)))) % 16.16/16.47 (assume @p244 (forall @t6 (tptp.subset @t131 @t1))) % 16.16/16.47 (assume @p245 (forall @t11 (=> @t16 (and (= @t133 (tptp.relation_dom @t143)) (= @t54 (tptp.relation_rng @t143)))))) % 16.16/16.47 (assume @p246 (forall @t21 (= (tptp.subset @t26 @t17) (and @t194 @t116)))) % 16.16/16.47 (assume @p247 (forall @t6 (=> @t41 (=> (and @t235 (tptp.subset @t1 @t145)) (= @t226 @t1))))) % 16.16/16.47 (assume @p248 (forall @t6 (= @t237 @t28))) % 16.16/16.47 (assume @p249 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 16.16/16.47 (assume @p250 (forall @t21 (not (and @t5 @t116 @t35)))) % 16.16/16.47 (assume @p251 (forall @t6 (= @t195 @t43))) % 16.16/16.47 (assume @p252 (forall @t6 (and (not (and @t239 (forall @t62 (not @t238)))) (not (and (exists @t62 @t238) @t150))))) % 16.16/16.47 (assume @p253 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t93))) % 16.16/16.47 (assume @p254 (forall @t6 (= (tptp.set_difference @t28 @t2) @t131))) % 16.16/16.47 (assume @p255 (forall @t11 (=> @t15 (= @t140 (forall @t79 (=> @t31 (=> @t3 (tptp.in @t240 @t1)))))))) % 16.16/16.47 (assume @p256 (forall @t11 (=> @t15 (and (not (and (not @t140) (forall @t79 (=> @t31 (not @t241))))) (not (and (exists @t79 (and @t31 @t241)) @t140)))))) % 16.16/16.47 (assume @p257 (forall @t6 (=> @t136 (forall @t62 (=> @t167 (= @t243 (tptp.subset @t2 @t242))))))) % 16.16/16.47 (assume @p258 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (tptp.subset @t244 @t54)))))) % 16.16/16.47 (assume @p259 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (tptp.subset @t214 @t201)))))) % 16.16/16.47 (assume @p260 (forall @t6 (=> @t43 (= @t2 @t237)))) % 16.16/16.47 (assume @p261 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (=> (tptp.subset @t133 @t189) (= @t244 @t54))))))) % 16.16/16.47 (assume @p262 (forall @t6 (=> @t154 (not (and @t111 (= @t152 tptp.empty_set)))))) % 16.16/16.47 (assume @p263 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (=> (tptp.subset @t54 @t201) (= (tptp.relation_rng @t172) @t133))))))) % 16.16/16.47 (assume @p264 (forall @t6 (=> @t154 (=> @t111 (= (tptp.subset_difference @t1 @t127 @t163) (tptp.meet_of_subsets @t1 @t152)))))) % 16.16/16.47 (assume @p265 (forall @t6 (=> @t154 (=> @t111 (= (tptp.union_of_subsets @t1 @t152) (tptp.subset_difference @t1 @t127 @t165)))))) % 16.16/16.47 (assume @p266 (forall @t6 (= (tptp.set_difference @t1 @t131) @t29))) % 16.16/16.47 (assume @p267 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (forall @t62 (=> @t149 (=> @t148 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t17)))))))))) % 16.16/16.47 (assume @p268 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 16.16/16.47 (assume @p269 (forall @t21 (=> (and @t5 @t245) (tptp.element @t1 @t17)))) % 16.16/16.47 (assume @p270 (forall @t6 (and (not (and @t239 (forall @t62 (not @t246)))) (not (and (exists @t62 @t246) @t150))))) % 16.16/16.47 (assume @p271 (forall @t11 (=> @t96 (forall @t79 (=> @t136 (forall @t62 (=> (tptp.element @t17 @t1) (=> @t114 (tptp.in @t17 @t135))))))))) % 16.16/16.47 (assume @p272 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (forall @t62 (=> @t149 (=> @t148 (and (=> @t129 @t230) (=> @t70 @t232) (=> @t69 @t231) (=> @t64 @t233) (=> @t112 @t234)))))))))) % 16.16/16.47 (assume @p273 (forall @t11 (=> @t59 (=> @t22 (forall @t79 (=> @t182 (= (= @t2 @t156) (and (= @t189 @t133) (forall @t38 (and (=> @t247 @t132) (=> @t132 @t247))))))))))) % 16.16/16.47 (assume @p274 (forall @t21 (=> @t167 (not (and (tptp.in @t2 @t242) @t116))))) % 16.16/16.47 (assume @p275 (forall @t11 (=> @t16 (forall @t79 (=> @t41 (forall @t62 (=> @t149 (=> (and @t130 @t148) @t235)))))))) % 16.16/16.47 (assume @p276 (forall @t11 (=> @t59 (=> @t22 (and (= @t133 (tptp.relation_dom @t156)) (= @t54 (tptp.relation_rng @t156))))))) % 16.16/16.47 (assume @p277 (forall @t11 (=> @t16 (=> (forall @t52 @t191) @t93)))) % 16.16/16.47 (assume @p278 (forall @t6 (=> @t182 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t201)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t248 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t248 @t2) @t1))))))) % 16.16/16.47 (assume @p279 (forall @t21 (not (and @t5 @t245 (tptp.empty @t17))))) % 16.16/16.47 (assume @p280 (forall @t11 (=> @t16 (= @t112 (tptp.is_well_founded_in @t1 @t63))))) % 16.16/16.47 (assume @p281 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 16.16/16.47 (assume @p282 (forall @t6 (not (and @t43 @t7)))) % 16.16/16.47 (assume @p283 (forall @t11 (=> @t59 (=> @t22 (tptp.one_to_one @t156))))) % 16.16/16.47 (assume @p284 (forall @t21 (=> (and @t43 @t243) (tptp.disjoint @t1 @t17)))) % 16.16/16.47 (assume @p285 (forall @t11 (=> @t16 (=> (or @t250 @t249) @t93)))) % 16.16/16.47 (assume @p286 (forall @t11 (=> @t16 (= @t250 @t249)))) % 16.16/16.47 (assume @p287 (forall @t6 (= (= (tptp.set_difference @t1 @t192) @t1) @t4))) % 16.16/16.47 (assume @p288 (forall @t6 (=> @t182 (forall @t62 (=> @t149 (= (= @t2 @t196) (and (= @t189 (tptp.set_intersection2 @t147 @t1)) (forall @t57 (=> (tptp.in @t33 @t189) (= (tptp.apply @t2 @t33) @t144)))))))))) % 16.16/16.47 (assume @p289 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t86))) % 16.16/16.47 (assume @p290 (forall @t11 (=> @t10 @t93))) % 16.16/16.47 (assume @p291 (forall @t6 (=> (tptp.subset @t86 @t192) @t44))) % 16.16/16.47 (assume @p292 (forall @t21 (=> @t149 (=> @t197 @t251)))) % 16.16/16.47 (assume @p293 (forall @t11 (and (= (tptp.relation_dom @t39) @t1) (= (tptp.relation_rng @t39) @t1)))) % 16.16/16.47 (assume @p294 (forall @t21 (=> @t149 (=> @t3 @t251)))) % 16.16/16.47 (assume @p295 (forall @t72 (=> (tptp.relation @t33) (= (tptp.in @t137 (tptp.relation_composition (tptp.identity_relation @t17) @t33)) (and @t194 (tptp.in @t137 @t33)))))) % 16.16/16.47 (assume @p296 (forall @t6 (not (and @t5 @t108)))) % 16.16/16.47 (assume @p297 @t256) % 16.16/16.47 (assume @p298 (forall @t6 (not (and @t5 (forall @t62 (not (and @t88 (forall @t57 (not (and @t48 @t56)))))))))) % 16.16/16.47 (assume @p299 (forall @t6 (tptp.subset @t1 @t28))) % 16.16/16.47 (assume @p300 (forall @t6 (= @t150 (= @t131 @t1)))) % 16.16/16.47 (assume @p301 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_dom @t206)) (and @t5 @t224))))) % 16.16/16.47 (assume @p302 (forall @t6 (=> @t41 (tptp.subset @t218 @t2)))) % 16.16/16.47 (assume @p303 (forall @t6 (not (and @t10 @t155 @t108)))) % 16.16/16.47 (assume @p304 (forall @t21 (=> @t149 (= @t225 (and @t224 (= @t2 @t227)))))) % 16.16/16.47 (assume @p305 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t63) @t130)))) % 16.16/16.47 (assume @p306 (forall @t21 (=> (and @t43 @t119) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 16.16/16.47 (assume @p307 (forall @t21 (=> @t257 @t44))) % 16.16/16.47 (assume @p308 (forall @t6 (=> @t41 (= (tptp.relation_dom @t218) @t210)))) % 16.16/16.47 (assume @p309 (forall @t6 (=> @t41 (= @t218 (tptp.relation_composition @t39 @t2))))) % 16.16/16.47 (assume @p310 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_rng @t218) @t201)))) % 16.16/16.47 (assume @p311 (forall @t11 (= (tptp.union @t98) @t1))) % 16.16/16.47 (assume @p312 (forall @t11 (exists @t79 (and @t5 @t205 (forall @t62 (not (and @t88 (forall @t57 (not (and @t48 (forall @t55 (=> (tptp.subset @t45 @t17) @t71)))))))) @t203)))) % 16.16/16.47 (assume @p313 (forall @t21 (=> @t257 @t73))) % 16.16/16.47 (step @p314 :rule aci_norm :args ((= (or false @t264) @t264))) % 16.16/16.47 (step @p315 :rule refl :args (@t259)) % 16.16/16.47 (step @p316 :rule eq-symm :args (@t262 @t36)) % 16.16/16.47 (step @p317 :rule cong :premises (@p316) :args (@t265)) % 16.16/16.47 (step @p318 :rule nary_cong :premises (@p317 @p315) :args (@t266)) % 16.16/16.47 (step @p319 :rule cong :premises (@p318) :args (@t267)) % 16.16/16.47 (step @p320 :rule eq-symm :args (@t263 @t258)) % 16.16/16.47 (step @p321 :rule cong :premises (@p320 @p319) :args (@t268)) % 16.16/16.47 (step @p322 :rule evaluate :args ((not true))) % 16.16/16.47 (step @p323 :rule eq-refl :args (@t262)) % 16.16/16.47 (step @p324 :rule cong :premises (@p323) :args (@t269)) % 16.16/16.47 (step @p325 :rule trans :premises (@p324 @p322)) % 16.16/16.47 (step @p326 :rule nary_cong :premises (@p325 @p321) :args (@t270)) % 16.16/16.47 (step @p327 :rule trans :premises (@p326 @p314)) % 16.16/16.47 (step @p328 :rule cong :premises (@p327) :args ((forall @t271 @t270))) % 16.16/16.47 (step @p329 :rule quant-var-elim-eq :args ((= (forall @t11 @t275) @t270))) % 16.16/16.47 (step @p330 :rule aci_norm :args ((= @t276 @t275))) % 16.16/16.47 (step @p331 :rule cong :premises (@p330) :args (@t277)) % 16.16/16.47 (step @p332 :rule trans :premises (@p331 @p329)) % 16.16/16.47 (step @p333 :rule cong :premises (@p332) :args (@t278)) % 16.16/16.47 (step @p334 :rule quant-merge-prenex :args ((= @t278 @t279))) % 16.16/16.47 (step @p335 :rule symm :premises (@p334)) % 16.16/16.47 (step @p336 :rule quant_var_reordering :args ((= (forall @t280 @t276) @t279))) % 16.16/16.47 (step @p337 :rule trans :premises (@p336 @p335 @p333)) % 16.16/16.47 (step @p338 :rule trans :premises (@p337 @p328)) % 16.16/16.47 (step @p339 :rule eq-symm :args (@t258 @t17)) % 16.16/16.47 (step @p340 :rule refl :args (@t272)) % 16.16/16.47 (step @p341 :rule nary_cong :premises (@p340 @p339) :args (@t281)) % 16.16/16.47 (step @p342 :rule cong :premises (@p341) :args (@t282)) % 16.16/16.47 (step @p343 :rule eq-symm :args (@t258 @t76)) % 16.16/16.47 (step @p344 :rule cong :premises (@p343 @p342) :args (@t283)) % 16.16/16.47 (step @p345 :rule refl :args (@t274)) % 16.16/16.47 (step @p346 :rule nary_cong :premises (@p345 @p344) :args (@t284)) % 16.16/16.47 (step @p347 :rule cong :premises (@p346) :args (@t285)) % 16.16/16.47 (step @p348 :rule trans :premises (@p347 @p338)) % 16.16/16.47 (step @p349 :rule quant-merge-prenex :args ((= (forall @t11 @t286) @t285))) % 16.16/16.47 (step @p350 :rule alpha_equiv :args (@t287 (@list @t258) @t288)) % 16.16/16.47 (step @p351 :rule alpha_equiv :args (@t289 (@list @t261 @t260) @t290)) % 16.16/16.47 (step @p352 :rule nary_cong :premises (@p351 @p350) :args (@t291)) % 16.16/16.47 (step @p353 :rule quant-miniscope-or :args ((= @t286 @t291))) % 16.16/16.47 (step @p354 :rule trans :premises (@p353 @p352)) % 16.16/16.47 (step @p355 :rule symm :premises (@p354)) % 16.16/16.47 (step @p356 :rule cong :premises (@p355) :args ((forall @t11 (or @t293 @t292)))) % 16.16/16.47 (step @p357 :rule trans :premises (@p356 @p349)) % 16.16/16.47 (step @p358 :rule trans :premises (@p357 @p348)) % 16.16/16.47 (step @p359 :rule refl :args (@t292)) % 16.16/16.47 (step @p360 :rule bool-double-not-elim :args (@t293)) % 16.16/16.47 (step @p361 :rule nary_cong :premises (@p360 @p359) :args ((or @t295 @t292))) % 16.16/16.47 (step @p362 :rule bool-impl-elim :args (@t294 @t292)) % 16.16/16.47 (step @p363 :rule trans :premises (@p362 @p361)) % 16.16/16.47 (step @p364 :rule cong :premises (@p363) :args ((forall @t11 (=> @t294 @t292)))) % 16.16/16.47 (step @p365 :rule trans :premises (@p364 @p358)) % 16.16/16.47 (step @p366 :rule bool-impl-elim :args (@t74 @t73)) % 16.16/16.47 (step @p367 :rule cong :premises (@p366) :args (@t75)) % 16.16/16.47 (step @p368 :rule refl :args (@t77)) % 16.16/16.47 (step @p369 :rule cong :premises (@p368 @p367) :args (@t78)) % 16.16/16.47 (step @p370 :rule cong :premises (@p369) :args (@t80)) % 16.16/16.47 (step @p371 :rule exists-elim :args ((= @t83 @t294))) % 16.16/16.47 (step @p372 :rule cong :premises (@p371 @p370) :args (@t84)) % 16.16/16.47 (step @p373 :rule cong :premises (@p372) :args (@t85)) % 16.16/16.47 (step @p374 :rule trans :premises (@p373 @p365)) % 16.16/16.47 (step @p375 :rule eq_resolve :premises (@p26 @p374)) % 16.16/16.47 (step @p376 :rule bool-eq-true :args (@t303)) % 16.16/16.47 (step @p377 :rule eq-symm :args (true @t303)) % 16.16/16.47 (step @p378 :rule trans :premises (@p377 @p376)) % 16.16/16.47 (step @p379 :rule refl :args (@t303)) % 16.16/16.47 (step @p380 :rule eq-refl :args (@t302)) % 16.16/16.47 (step @p381 :rule cong :premises (@p380 @p379) :args (@t304)) % 16.16/16.47 (step @p382 :rule trans :premises (@p381 @p378)) % 16.16/16.47 (step @p383 :rule refl :args (@t305)) % 16.16/16.47 (step @p384 :rule cong :premises (@p383 @p382) :args ((=> @t305 @t304))) % 16.16/16.47 (assume-push @p532 @t305) % 16.16/16.47 (step @p386 :rule instantiate :premises (@p375) :args ((@list @t300 @t299 @t302))) % 16.16/16.47 (step-pop @p533 :rule scope :premises (@p386)) % 16.16/16.47 (step @p387 :rule process_scope :premises (@p533) :args (@t304)) % 16.16/16.47 (step @p389 :rule eq_resolve :premises (@p387 @p384)) % 16.16/16.47 (step @p390 :rule implies_elim :premises (@p389)) % 16.16/16.47 (step @p391 :rule chain_m_resolution :premises (@p390 @p375) :args (@t303 @t306 (@list @t305))) % 16.16/16.47 (step @p392 :rule aci_norm :args ((= (or false @t307) @t307))) % 16.16/16.47 (step @p393 :rule refl :args (@t307)) % 16.16/16.47 (step @p394 :rule eq-refl :args (@t301)) % 16.16/16.47 (step @p395 :rule cong :premises (@p394) :args (@t308)) % 16.16/16.47 (step @p396 :rule trans :premises (@p395 @p322)) % 16.16/16.47 (step @p397 :rule nary_cong :premises (@p396 @p393) :args (@t309)) % 16.16/16.47 (step @p398 :rule trans :premises (@p397 @p392)) % 16.16/16.47 (step @p399 :rule cong :premises (@p379 @p398) :args ((=> @t303 @t309))) % 16.16/16.47 (assume-push @p534 @t303) % 16.16/16.47 (step @p401 :rule instantiate :premises (@p391) :args ((@list @t300 @t299))) % 16.16/16.47 (step-pop @p535 :rule scope :premises (@p401)) % 16.16/16.47 (step @p402 :rule process_scope :premises (@p535) :args (@t309)) % 16.16/16.47 (step @p404 :rule eq_resolve :premises (@p402 @p399)) % 16.16/16.47 (step @p405 :rule implies_elim :premises (@p404)) % 16.16/16.47 (step @p406 :rule reordering :premises (@p405) :args ((or @t307 (not @t303)))) % 16.16/16.47 (step @p407 :rule chain_m_resolution :premises (@p406 @p391) :args (@t307 @t306 (@list @t303))) % 16.16/16.47 (step @p408 :rule refl :args (@t310)) % 16.16/16.47 (step @p409 :rule bool-double-not-elim :args (@t298)) % 16.16/16.47 (step @p410 :rule nary_cong :premises (@p409 @p408) :args ((or (not @t311) @t310))) % 16.16/16.47 (assume-push @p536 @t311) % 16.16/16.47 (step @p412 :rule skolemize :premises (@p536)) % 16.16/16.47 (step-pop @p537 :rule scope :premises (@p412)) % 16.16/16.47 (step @p413 :rule process_scope :premises (@p537) :args (@t310)) % 16.16/16.47 (step @p415 :rule implies_elim :premises (@p413)) % 16.16/16.47 (step @p416 :rule eq_resolve :premises (@p415 @p410)) % 16.16/16.47 (step @p417 :rule chain_m_resolution :premises (@p416 @p407) :args (@t298 @t306 (@list @t307))) % 16.16/16.47 (step @p418 :rule alpha_equiv :args (@t313 @t314 (@list @t316 @t315))) % 16.16/16.47 (step @p419 :rule alpha_equiv :args (@t318 @t314 (@list @t297 @t296))) % 16.16/16.47 (step @p420 :rule nary_cong :premises (@p419 @p418) :args (@t319)) % 16.16/16.47 (step @p421 :rule quant-miniscope-and :args ((= (forall @t6 (and @t317 @t312)) @t319))) % 16.16/16.47 (step @p422 :rule trans :premises (@p421 @p420)) % 16.16/16.47 (step @p423 :rule eq-symm :args (@t252 @t2)) % 16.16/16.47 (step @p424 :rule eq-symm :args (@t253 @t1)) % 16.16/16.47 (step @p425 :rule nary_cong :premises (@p424 @p423) :args (@t254)) % 16.16/16.47 (step @p426 :rule cong :premises (@p425) :args (@t255)) % 16.16/16.47 (step @p427 :rule trans :premises (@p426 @p422)) % 16.16/16.47 (step @p428 :rule cong :premises (@p427) :args (@t256)) % 16.16/16.47 (step @p429 :rule eq_resolve :premises (@p297 @p428)) % 16.16/16.47 (step @p430 :rule not_and :premises (@p429)) % 16.16/16.47 (step @p431 :rule chain_m_resolution :premises (@p430 @p417) :args (@t321 @t306 (@list @t298))) % 16.16/16.47 (step @p432 :rule refl :args (@t327)) % 16.16/16.47 (step @p433 :rule bool-double-not-elim :args (@t320)) % 16.16/16.47 (step @p434 :rule nary_cong :premises (@p433 @p432) :args ((or (not @t321) @t327))) % 16.16/16.47 (assume-push @p538 @t321) % 16.16/16.47 (step @p436 :rule skolemize :premises (@p538)) % 16.16/16.47 (step-pop @p539 :rule scope :premises (@p436)) % 16.16/16.47 (step @p437 :rule process_scope :premises (@p539) :args (@t327)) % 16.16/16.47 (step @p439 :rule implies_elim :premises (@p437)) % 16.16/16.47 (step @p440 :rule eq_resolve :premises (@p439 @p434)) % 16.16/16.47 (step @p441 :rule chain_m_resolution :premises (@p440 @p431) :args (@t327 (@list true) (@list @t320))) % 16.16/16.47 (step @p442 :rule aci_norm :args ((= (or false @t334) @t334))) % 16.16/16.47 (step @p443 :rule refl :args (@t329)) % 16.16/16.47 (step @p444 :rule eq-symm :args (@t332 @t36)) % 16.16/16.47 (step @p445 :rule cong :premises (@p444) :args (@t335)) % 16.16/16.47 (step @p446 :rule nary_cong :premises (@p445 @p443) :args (@t336)) % 16.16/16.47 (step @p447 :rule cong :premises (@p446) :args (@t337)) % 16.16/16.47 (step @p448 :rule eq-symm :args (@t333 @t328)) % 16.16/16.47 (step @p449 :rule cong :premises (@p448 @p447) :args (@t338)) % 16.16/16.47 (step @p450 :rule eq-refl :args (@t332)) % 16.16/16.47 (step @p451 :rule cong :premises (@p450) :args (@t339)) % 16.16/16.47 (step @p452 :rule trans :premises (@p451 @p322)) % 16.16/16.47 (step @p453 :rule nary_cong :premises (@p452 @p449) :args (@t340)) % 16.16/16.47 (step @p454 :rule trans :premises (@p453 @p442)) % 16.16/16.47 (step @p455 :rule cong :premises (@p454) :args ((forall @t341 @t340))) % 16.16/16.47 (step @p456 :rule quant-var-elim-eq :args ((= (forall @t11 @t344) @t340))) % 16.16/16.47 (step @p457 :rule aci_norm :args ((= @t345 @t344))) % 16.16/16.47 (step @p458 :rule cong :premises (@p457) :args (@t346)) % 16.16/16.47 (step @p459 :rule trans :premises (@p458 @p456)) % 16.16/16.47 (step @p460 :rule cong :premises (@p459) :args (@t347)) % 16.16/16.47 (step @p461 :rule quant-merge-prenex :args ((= @t347 @t348))) % 16.16/16.47 (step @p462 :rule symm :premises (@p461)) % 16.16/16.47 (step @p463 :rule quant_var_reordering :args ((= (forall @t349 @t345) @t348))) % 16.16/16.47 (step @p464 :rule trans :premises (@p463 @p462 @p460)) % 16.16/16.47 (step @p465 :rule trans :premises (@p464 @p455)) % 16.16/16.47 (step @p466 :rule eq-symm :args (@t328 @t33)) % 16.16/16.47 (step @p467 :rule nary_cong :premises (@p340 @p466) :args (@t350)) % 16.16/16.47 (step @p468 :rule cong :premises (@p467) :args (@t351)) % 16.16/16.47 (step @p469 :rule eq-symm :args (@t328 @t101)) % 16.16/16.47 (step @p470 :rule cong :premises (@p469 @p468) :args (@t352)) % 16.16/16.47 (step @p471 :rule refl :args (@t343)) % 16.16/16.47 (step @p472 :rule nary_cong :premises (@p471 @p470) :args (@t353)) % 16.16/16.47 (step @p473 :rule cong :premises (@p472) :args (@t354)) % 16.16/16.47 (step @p474 :rule trans :premises (@p473 @p465)) % 16.16/16.47 (step @p475 :rule quant-merge-prenex :args ((= (forall @t11 @t355) @t354))) % 16.16/16.47 (step @p476 :rule alpha_equiv :args (@t356 (@list @t328) @t288)) % 16.16/16.47 (step @p477 :rule alpha_equiv :args (@t357 (@list @t331 @t330) @t290)) % 16.16/16.47 (step @p478 :rule nary_cong :premises (@p477 @p476) :args (@t358)) % 16.16/16.47 (step @p479 :rule quant-miniscope-or :args ((= @t355 @t358))) % 16.16/16.47 (step @p480 :rule trans :premises (@p479 @p478)) % 16.16/16.47 (step @p481 :rule symm :premises (@p480)) % 16.16/16.47 (step @p482 :rule cong :premises (@p481) :args ((forall @t11 (or @t293 @t359)))) % 16.16/16.47 (step @p483 :rule trans :premises (@p482 @p475)) % 16.16/16.47 (step @p484 :rule trans :premises (@p483 @p474)) % 16.16/16.47 (step @p485 :rule refl :args (@t359)) % 16.16/16.47 (step @p486 :rule nary_cong :premises (@p360 @p485) :args ((or @t295 @t359))) % 16.16/16.47 (step @p487 :rule bool-impl-elim :args (@t294 @t359)) % 16.16/16.47 (step @p488 :rule trans :premises (@p487 @p486)) % 16.16/16.47 (step @p489 :rule cong :premises (@p488) :args ((forall @t11 (=> @t294 @t359)))) % 16.16/16.47 (step @p490 :rule trans :premises (@p489 @p484)) % 16.16/16.47 (step @p491 :rule bool-impl-elim :args (@t74 @t99)) % 16.16/16.47 (step @p492 :rule cong :premises (@p491) :args (@t100)) % 16.16/16.47 (step @p493 :rule refl :args (@t102)) % 16.16/16.47 (step @p494 :rule cong :premises (@p493 @p492) :args (@t103)) % 16.16/16.47 (step @p495 :rule cong :premises (@p494) :args (@t104)) % 16.16/16.47 (step @p496 :rule cong :premises (@p371 @p495) :args (@t105)) % 16.16/16.47 (step @p497 :rule cong :premises (@p496) :args (@t106)) % 16.16/16.47 (step @p498 :rule trans :premises (@p497 @p490)) % 16.16/16.47 (step @p499 :rule eq_resolve :premises (@p36 @p498)) % 16.16/16.47 (step @p500 :rule bool-eq-true :args (@t360)) % 16.16/16.47 (step @p501 :rule eq-symm :args (true @t360)) % 16.16/16.47 (step @p502 :rule trans :premises (@p501 @p500)) % 16.16/16.47 (step @p503 :rule refl :args (@t360)) % 16.16/16.47 (step @p504 :rule eq-refl :args (@t325)) % 16.16/16.47 (step @p505 :rule cong :premises (@p504 @p503) :args (@t361)) % 16.16/16.47 (step @p506 :rule trans :premises (@p505 @p502)) % 16.16/16.47 (step @p507 :rule refl :args (@t362)) % 16.16/16.47 (step @p508 :rule cong :premises (@p507 @p506) :args ((=> @t362 @t361))) % 16.16/16.47 (assume-push @p540 @t362) % 16.16/16.47 (step @p510 :rule instantiate :premises (@p499) :args ((@list @t323 @t322 @t325))) % 16.16/16.47 (step-pop @p541 :rule scope :premises (@p510)) % 16.16/16.47 (step @p511 :rule process_scope :premises (@p541) :args (@t361)) % 16.16/16.47 (step @p513 :rule eq_resolve :premises (@p511 @p508)) % 16.16/16.47 (step @p514 :rule implies_elim :premises (@p513)) % 16.16/16.47 (step @p515 :rule chain_m_resolution :premises (@p514 @p499) :args (@t360 @t306 (@list @t362))) % 16.16/16.47 (step @p516 :rule aci_norm :args ((= (or false @t326) @t326))) % 16.16/16.47 (step @p517 :rule refl :args (@t326)) % 16.16/16.47 (step @p518 :rule eq-refl :args (@t324)) % 16.16/16.47 (step @p519 :rule cong :premises (@p518) :args (@t363)) % 16.16/16.47 (step @p520 :rule trans :premises (@p519 @p322)) % 16.16/16.47 (step @p521 :rule nary_cong :premises (@p520 @p517) :args (@t364)) % 16.16/16.47 (step @p522 :rule trans :premises (@p521 @p516)) % 16.16/16.47 (step @p523 :rule cong :premises (@p503 @p522) :args ((=> @t360 @t364))) % 16.16/16.47 (assume-push @p542 @t360) % 16.16/16.47 (step @p525 :rule instantiate :premises (@p515) :args ((@list @t323 @t322))) % 16.16/16.47 (step-pop @p543 :rule scope :premises (@p525)) % 16.16/16.47 (step @p526 :rule process_scope :premises (@p543) :args (@t364)) % 16.16/16.47 (step @p528 :rule eq_resolve :premises (@p526 @p523)) % 16.16/16.47 (step @p529 :rule implies_elim :premises (@p528)) % 16.16/16.47 (step @p530 :rule reordering :premises (@p529) :args ((or @t326 (not @t360)))) % 16.16/16.47 (step @p531 false :rule chain_m_resolution :premises (@p530 @p515 @p441) :args (false (@list false true) (@list @t360 @t326))) % 16.16/16.47 ) % 16.16/16.47 % SZS output end Proof % 16.16/16.47 % cvc5 exiting %------------------------------------------------------------------------------