%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU291+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 : n021.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 08:51:15 AM UTC 2026 % Result : Theorem 2.23s 2.47s % Output : Proof 2.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU291+2 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n021.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:54:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.40/0.59 %----Proving TF0_NAR, FOF, or CNF % 2.23/2.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.23/2.47 % SZS status Theorem % 2.23/2.47 % SZS output start Proof % 2.23/2.47 ( % 2.23/2.47 (declare-sort $$unsorted 0) % 2.23/2.47 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.empty_set $$unsorted) % 2.23/2.47 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.empty (-> $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.function (-> $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.connected (-> $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.relation (-> $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.transitive (-> $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 2.23/2.47 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 2.23/2.47 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 2.23/2.48 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.48 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 2.23/2.48 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 2.23/2.48 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 2.23/2.48 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 2.23/2.48 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 2.23/2.48 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.48 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 2.23/2.48 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 2.23/2.48 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 2.23/2.48 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.48 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 2.23/2.48 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 2.23/2.48 (define @t1 () (@var "A" $$unsorted)) % 2.23/2.48 (define @t2 () (@var "B" $$unsorted)) % 2.23/2.48 (define @t3 () (tptp.in @t2 @t1)) % 2.23/2.48 (define @t4 () (not @t3)) % 2.23/2.48 (define @t5 () (tptp.in @t1 @t2)) % 2.23/2.48 (define @t6 () (@list @t1 @t2)) % 2.23/2.48 (define @t7 () (tptp.proper_subset @t2 @t1)) % 2.23/2.48 (define @t8 () (tptp.proper_subset @t1 @t2)) % 2.23/2.48 (define @t9 () (tptp.function @t1)) % 2.23/2.48 (define @t10 () (tptp.empty @t1)) % 2.23/2.48 (define @t11 () (@list @t1)) % 2.23/2.48 (define @t12 () (tptp.epsilon_connected @t1)) % 2.23/2.48 (define @t13 () (tptp.epsilon_transitive @t1)) % 2.23/2.48 (define @t14 () (and @t13 @t12)) % 2.23/2.48 (define @t15 () (tptp.ordinal @t1)) % 2.23/2.48 (define @t16 () (tptp.relation @t1)) % 2.23/2.48 (define @t17 () (@var "C" $$unsorted)) % 2.23/2.48 (define @t18 () (tptp.relation @t17)) % 2.23/2.48 (define @t19 () (tptp.cartesian_product2 @t1 @t2)) % 2.23/2.48 (define @t20 () (tptp.element @t17 (tptp.powerset @t19))) % 2.23/2.48 (define @t21 () (@list @t1 @t2 @t17)) % 2.23/2.48 (define @t22 () (tptp.one_to_one @t1)) % 2.23/2.48 (define @t23 () (and @t16 @t9 @t22)) % 2.23/2.48 (define @t24 () (and @t16 @t10 @t9)) % 2.23/2.48 (define @t25 () (and @t13 @t12 @t15)) % 2.23/2.48 (define @t26 () (tptp.unordered_pair @t1 @t2)) % 2.23/2.48 (define @t27 () (tptp.set_union2 @t2 @t1)) % 2.23/2.48 (define @t28 () (tptp.set_union2 @t1 @t2)) % 2.23/2.48 (define @t29 () (tptp.set_intersection2 @t1 @t2)) % 2.23/2.48 (define @t30 () (tptp.ordinal_subset @t1 @t2)) % 2.23/2.48 (define @t31 () (tptp.ordinal @t2)) % 2.23/2.48 (define @t32 () (and @t15 @t31)) % 2.23/2.48 (define @t33 () (@var "D" $$unsorted)) % 2.23/2.48 (define @t34 () (= @t17 @t33)) % 2.23/2.48 (define @t35 () (tptp.in @t17 @t1)) % 2.23/2.48 (define @t36 () (tptp.ordered_pair @t17 @t33)) % 2.23/2.48 (define @t37 () (tptp.in @t36 @t2)) % 2.23/2.48 (define @t38 () (@list @t17 @t33)) % 2.23/2.48 (define @t39 () (tptp.identity_relation @t1)) % 2.23/2.48 (define @t40 () (= @t2 @t39)) % 2.23/2.48 (define @t41 () (tptp.relation @t2)) % 2.23/2.48 (define @t42 () (tptp.subset @t2 @t1)) % 2.23/2.48 (define @t43 () (tptp.subset @t1 @t2)) % 2.23/2.48 (define @t44 () (= @t1 @t2)) % 2.23/2.48 (define @t45 () (@var "E" $$unsorted)) % 2.23/2.48 (define @t46 () (tptp.ordered_pair @t33 @t45)) % 2.23/2.48 (define @t47 () (tptp.in @t46 @t1)) % 2.23/2.48 (define @t48 () (tptp.in @t33 @t2)) % 2.23/2.48 (define @t49 () (tptp.in @t46 @t17)) % 2.23/2.48 (define @t50 () (@list @t33 @t45)) % 2.23/2.48 (define @t51 () (tptp.relation_dom_restriction @t1 @t2)) % 2.23/2.48 (define @t52 () (@list @t2 @t17)) % 2.23/2.48 (define @t53 () (tptp.in @t45 @t2)) % 2.23/2.48 (define @t54 () (tptp.relation_dom @t1)) % 2.23/2.48 (define @t55 () (@list @t45)) % 2.23/2.48 (define @t56 () (tptp.in @t33 @t17)) % 2.23/2.48 (define @t57 () (@list @t33)) % 2.23/2.48 (define @t58 () (= @t17 (tptp.relation_image @t1 @t2))) % 2.23/2.48 (define @t59 () (and @t16 @t9)) % 2.23/2.48 (define @t60 () (tptp.in @t45 @t1)) % 2.23/2.48 (define @t61 () (tptp.relation_rng_restriction @t1 @t2)) % 2.23/2.48 (define @t62 () (@list @t17)) % 2.23/2.48 (define @t63 () (tptp.relation_field @t1)) % 2.23/2.48 (define @t64 () (tptp.antisymmetric @t1)) % 2.23/2.48 (define @t65 () (tptp.apply @t1 @t33)) % 2.23/2.48 (define @t66 () (tptp.in @t33 @t54)) % 2.23/2.48 (define @t67 () (= @t17 (tptp.relation_inverse_image @t1 @t2))) % 2.23/2.48 (define @t68 () (tptp.ordered_pair @t45 @t33)) % 2.23/2.48 (define @t69 () (tptp.connected @t1)) % 2.23/2.48 (define @t70 () (tptp.transitive @t1)) % 2.23/2.48 (define @t71 () (tptp.in @t45 @t33)) % 2.23/2.48 (define @t72 () (@list @t1 @t2 @t17 @t33)) % 2.23/2.48 (define @t73 () (tptp.in (tptp.ordered_pair @t2 @t33) @t1)) % 2.23/2.48 (define @t74 () (tptp.ordered_pair @t2 @t17)) % 2.23/2.48 (define @t75 () (tptp.in @t74 @t1)) % 2.23/2.48 (define @t76 () (@list @t2 @t17 @t33)) % 2.23/2.48 (define @t77 () (= @t17 tptp.empty_set)) % 2.23/2.48 (define @t78 () (tptp.quasi_total @t17 @t1 @t2)) % 2.23/2.48 (define @t79 () (= @t78 @t77)) % 2.23/2.48 (define @t80 () (= @t1 tptp.empty_set)) % 2.23/2.48 (define @t81 () (or @t80 @t79)) % 2.23/2.48 (define @t82 () (= @t2 tptp.empty_set)) % 2.23/2.48 (define @t83 () (tptp.relation_dom_as_subset @t1 @t2 @t17)) % 2.23/2.48 (define @t84 () (= @t78 (= @t1 @t83))) % 2.23/2.48 (define @t85 () (=> @t82 @t80)) % 2.23/2.48 (define @t86 () (and (=> @t85 @t84) (=> @t82 @t81))) % 2.23/2.48 (define @t87 () (tptp.relation_of2_as_subset @t17 @t1 @t2)) % 2.23/2.48 (define @t88 () (forall @t21 (=> @t87 @t86))) % 2.23/2.48 (define @t89 () (= @t2 @t17)) % 2.23/2.48 (define @t90 () (= @t1 @t36)) % 2.23/2.48 (define @t91 () (@list @t2)) % 2.23/2.48 (define @t92 () (exists @t52 (= @t1 @t74))) % 2.23/2.48 (define @t93 () (tptp.singleton @t1)) % 2.23/2.48 (define @t94 () (tptp.succ @t1)) % 2.23/2.48 (define @t95 () (tptp.in @t17 @t2)) % 2.23/2.48 (define @t96 () (tptp.is_reflexive_in @t1 @t2)) % 2.23/2.48 (define @t97 () (tptp.relation_of2 @t17 @t1 @t2)) % 2.23/2.48 (define @t98 () (= @t2 (tptp.set_meet @t1))) % 2.23/2.48 (define @t99 () (tptp.in @t17 @t33)) % 2.23/2.48 (define @t100 () (tptp.in @t33 @t1)) % 2.23/2.48 (define @t101 () (not @t80)) % 2.23/2.48 (define @t102 () (= @t33 @t2)) % 2.23/2.48 (define @t103 () (tptp.subset @t17 @t33)) % 2.23/2.48 (define @t104 () (tptp.relation_field @t2)) % 2.23/2.48 (define @t105 () (tptp.inclusion_relation @t1)) % 2.23/2.48 (define @t106 () (tptp.powerset @t1)) % 2.23/2.48 (define @t107 () (= @t2 @t33)) % 2.23/2.48 (define @t108 () (tptp.in @t36 @t1)) % 2.23/2.48 (define @t109 () (tptp.empty @t2)) % 2.23/2.48 (define @t110 () (tptp.element @t2 @t1)) % 2.23/2.48 (define @t111 () (not @t10)) % 2.23/2.48 (define @t112 () (not @t82)) % 2.23/2.48 (define @t113 () (tptp.well_founded_relation @t1)) % 2.23/2.48 (define @t114 () (@var "F" $$unsorted)) % 2.23/2.48 (define @t115 () (tptp.ordered_pair @t45 @t114)) % 2.23/2.48 (define @t116 () (@list @t45 @t114)) % 2.23/2.48 (define @t117 () (not @t95)) % 2.23/2.48 (define @t118 () (not @t89)) % 2.23/2.48 (define @t119 () (tptp.in @t2 @t17)) % 2.23/2.48 (define @t120 () (forall @t62 (=> @t35 @t95))) % 2.23/2.48 (define @t121 () (tptp.subset @t17 @t2)) % 2.23/2.48 (define @t122 () (tptp.is_well_founded_in @t1 @t2)) % 2.23/2.48 (define @t123 () (tptp.apply @t1 @t2)) % 2.23/2.48 (define @t124 () (= @t17 @t123)) % 2.23/2.48 (define @t125 () (tptp.in @t2 @t54)) % 2.23/2.48 (define @t126 () (tptp.in (tptp.ordered_pair @t33 @t17) @t1)) % 2.23/2.48 (define @t127 () (tptp.is_antisymmetric_in @t1 @t2)) % 2.23/2.48 (define @t128 () (tptp.cast_to_subset @t1)) % 2.23/2.48 (define @t129 () (tptp.union @t1)) % 2.23/2.48 (define @t130 () (tptp.reflexive @t1)) % 2.23/2.48 (define @t131 () (tptp.well_ordering @t1)) % 2.23/2.48 (define @t132 () (tptp.relation_rng @t17)) % 2.23/2.48 (define @t133 () (tptp.relation_dom @t17)) % 2.23/2.48 (define @t134 () (= @t133 @t1)) % 2.23/2.48 (define @t135 () (tptp.one_to_one @t17)) % 2.23/2.48 (define @t136 () (tptp.function @t17)) % 2.23/2.48 (define @t137 () (tptp.equipotent @t1 @t2)) % 2.23/2.48 (define @t138 () (not @t48)) % 2.23/2.48 (define @t139 () (tptp.set_difference @t1 @t2)) % 2.23/2.48 (define @t140 () (and @t66 (= @t17 @t65))) % 2.23/2.48 (define @t141 () (tptp.relation_rng @t1)) % 2.23/2.48 (define @t142 () (= @t2 @t141)) % 2.23/2.48 (define @t143 () (tptp.subset_complement @t1 @t2)) % 2.23/2.48 (define @t144 () (tptp.element @t2 @t106)) % 2.23/2.48 (define @t145 () (tptp.ordered_pair @t1 @t2)) % 2.23/2.48 (define @t146 () (tptp.is_connected_in @t1 @t2)) % 2.23/2.48 (define @t147 () (tptp.is_transitive_in @t1 @t2)) % 2.23/2.48 (define @t148 () (tptp.being_limit_ordinal @t1)) % 2.23/2.48 (define @t149 () (tptp.cartesian_product2 @t2 @t2)) % 2.23/2.48 (define @t150 () (tptp.relation_restriction @t1 @t2)) % 2.23/2.48 (define @t151 () (tptp.relation_inverse @t1)) % 2.23/2.48 (define @t152 () (tptp.apply @t17 @t45)) % 2.23/2.48 (define @t153 () (tptp.apply @t17 @t33)) % 2.23/2.48 (define @t154 () (tptp.relation_isomorphism @t1 @t2 @t17)) % 2.23/2.48 (define @t155 () (and @t18 @t136)) % 2.23/2.48 (define @t156 () (tptp.disjoint @t1 @t2)) % 2.23/2.48 (define @t157 () (@list @t114)) % 2.23/2.48 (define @t158 () (tptp.relation_composition @t1 @t2)) % 2.23/2.48 (define @t159 () (@list @t17 @t33 @t45)) % 2.23/2.48 (define @t160 () (tptp.complements_of_subsets @t1 @t2)) % 2.23/2.48 (define @t161 () (tptp.powerset @t106)) % 2.23/2.48 (define @t162 () (tptp.element @t2 @t161)) % 2.23/2.48 (define @t163 () (not @t44)) % 2.23/2.48 (define @t164 () (tptp.function_inverse @t1)) % 2.23/2.48 (define @t165 () (tptp.relation @t151)) % 2.23/2.48 (define @t166 () (tptp.relation @t158)) % 2.23/2.48 (define @t167 () (and @t16 @t41)) % 2.23/2.48 (define @t168 () (tptp.powerset @t2)) % 2.23/2.48 (define @t169 () (tptp.relation_rng_as_subset @t1 @t2 @t17)) % 2.23/2.48 (define @t170 () (tptp.union_of_subsets @t1 @t2)) % 2.23/2.48 (define @t171 () (tptp.relation @t39)) % 2.23/2.48 (define @t172 () (tptp.meet_of_subsets @t1 @t2)) % 2.23/2.48 (define @t173 () (tptp.subset_difference @t1 @t2 @t17)) % 2.23/2.48 (define @t174 () (tptp.element @t17 @t106)) % 2.23/2.48 (define @t175 () (and @t144 @t174)) % 2.23/2.48 (define @t176 () (tptp.relation @t51)) % 2.23/2.48 (define @t177 () (tptp.relation @t61)) % 2.23/2.48 (define @t178 () (tptp.relation_composition @t2 @t1)) % 2.23/2.48 (define @t179 () (and @t10 @t41)) % 2.23/2.48 (define @t180 () (tptp.relation_empty_yielding tptp.empty_set)) % 2.23/2.48 (define @t181 () (tptp.relation tptp.empty_set)) % 2.23/2.48 (define @t182 () (tptp.empty tptp.empty_set)) % 2.23/2.48 (define @t183 () (tptp.relation_empty_yielding @t1)) % 2.23/2.48 (define @t184 () (and @t16 @t183)) % 2.23/2.48 (define @t185 () (tptp.function @t2)) % 2.23/2.48 (define @t186 () (not (tptp.empty @t94))) % 2.23/2.48 (define @t187 () (not @t109)) % 2.23/2.48 (define @t188 () (and @t41 @t185)) % 2.23/2.48 (define @t189 () (tptp.empty @t54)) % 2.23/2.48 (define @t190 () (and @t111 @t16)) % 2.23/2.48 (define @t191 () (tptp.empty @t141)) % 2.23/2.48 (define @t192 () (tptp.in @t2 @t63)) % 2.23/2.48 (define @t193 () (tptp.disjoint @t93 @t2)) % 2.23/2.48 (define @t194 () (not @t5)) % 2.23/2.48 (define @t195 () (tptp.relation_dom @t2)) % 2.23/2.48 (define @t196 () (tptp.well_ordering @t2)) % 2.23/2.48 (define @t197 () (= @t139 tptp.empty_set)) % 2.23/2.48 (define @t198 () (forall @t6 (= @t197 @t43))) % 2.23/2.48 (define @t199 () (tptp.in (tptp.ordered_pair @t17 @t2) @t1)) % 2.23/2.48 (define @t200 () (tptp.singleton @t17)) % 2.23/2.48 (define @t201 () (not @t75)) % 2.23/2.48 (define @t202 () (tptp.singleton @t2)) % 2.23/2.48 (define @t203 () (tptp.union @t2)) % 2.23/2.48 (define @t204 () (tptp.in @t1 @t17)) % 2.23/2.48 (define @t205 () (tptp.element @t1 @t168)) % 2.23/2.48 (define @t206 () (tptp.relation_dom_restriction @t17 @t1)) % 2.23/2.48 (define @t207 () (tptp.in @t2 (tptp.relation_dom @t206))) % 2.23/2.48 (define @t208 () (tptp.set_difference @t2 @t17)) % 2.23/2.48 (define @t209 () (@var "K" $$unsorted)) % 2.23/2.48 (define @t210 () (@var "J" $$unsorted)) % 2.23/2.48 (define @t211 () (tptp.in @t209 @t210)) % 2.23/2.48 (define @t212 () (@list @t209)) % 2.23/2.48 (define @t213 () (@list @t210)) % 2.23/2.48 (define @t214 () (= @t33 @t45)) % 2.23/2.48 (define @t215 () (@var "I" $$unsorted)) % 2.23/2.48 (define @t216 () (@var "H" $$unsorted)) % 2.23/2.48 (define @t217 () (tptp.in @t215 @t216)) % 2.23/2.48 (define @t218 () (@list @t215)) % 2.23/2.48 (define @t219 () (@list @t216)) % 2.23/2.48 (define @t220 () (exists @t219 (and (= @t17 @t216) (tptp.in @t45 @t216) (forall @t218 (=> @t217 (tptp.in (tptp.ordered_pair @t45 @t215) @t2)))))) % 2.23/2.48 (define @t221 () (@var "G" $$unsorted)) % 2.23/2.48 (define @t222 () (@list @t221)) % 2.23/2.48 (define @t223 () (exists @t157 (and (= @t17 @t114) (tptp.in @t33 @t114) (forall @t222 (=> (tptp.in @t221 @t114) (tptp.in (tptp.ordered_pair @t33 @t221) @t2)))))) % 2.23/2.48 (define @t224 () (forall @t159 (=> (and @t35 @t223 @t35 @t220) @t214))) % 2.23/2.48 (define @t225 () (and @t111 @t41)) % 2.23/2.48 (define @t226 () (= @t33 @t202)) % 2.23/2.48 (define @t227 () (= @t17 @t202)) % 2.23/2.48 (define @t228 () (forall @t76 (=> (and @t3 @t227 @t3 @t226) @t34))) % 2.23/2.48 (define @t229 () (tptp.ordinal @t17)) % 2.23/2.48 (define @t230 () (tptp.apply @t17 @t114)) % 2.23/2.48 (define @t231 () (tptp.in @t114 @t1)) % 2.23/2.48 (define @t232 () (tptp.relation @t33)) % 2.23/2.48 (define @t233 () (and @t41 @t18 @t136)) % 2.23/2.48 (define @t234 () (forall @t212 (=> @t211 (tptp.in (tptp.ordered_pair @t33 @t209) @t2)))) % 2.23/2.48 (define @t235 () (tptp.in @t33 @t210)) % 2.23/2.48 (define @t236 () (@var "R" $$unsorted)) % 2.23/2.48 (define @t237 () (@var "P" $$unsorted)) % 2.23/2.48 (define @t238 () (@var "Q" $$unsorted)) % 2.23/2.48 (define @t239 () (@var "O" $$unsorted)) % 2.23/2.48 (define @t240 () (= @t114 @t45)) % 2.23/2.48 (define @t241 () (tptp.cartesian_product2 @t1 @t17)) % 2.23/2.48 (define @t242 () (= @t45 @t114)) % 2.23/2.48 (define @t243 () (@var "N" $$unsorted)) % 2.23/2.48 (define @t244 () (@var "L" $$unsorted)) % 2.23/2.48 (define @t245 () (@var "M" $$unsorted)) % 2.23/2.48 (define @t246 () (@list @t245)) % 2.23/2.48 (define @t247 () (tptp.ordered_pair @t209 @t244)) % 2.23/2.48 (define @t248 () (@list @t209 @t244)) % 2.23/2.48 (define @t249 () (= @t33 @t114)) % 2.23/2.48 (define @t250 () (tptp.in @t221 @t1)) % 2.23/2.48 (define @t251 () (tptp.ordered_pair @t221 @t216)) % 2.23/2.48 (define @t252 () (@list @t221 @t216)) % 2.23/2.48 (define @t253 () (@list @t33 @t45 @t114)) % 2.23/2.48 (define @t254 () (= @t45 @t33)) % 2.23/2.48 (define @t255 () (tptp.in @t216 @t1)) % 2.23/2.48 (define @t256 () (= @t17 @t45)) % 2.23/2.48 (define @t257 () (tptp.ordered_pair @t114 @t221)) % 2.23/2.48 (define @t258 () (@list @t114 @t221)) % 2.23/2.48 (define @t259 () (tptp.cartesian_product2 @t1 @t1)) % 2.23/2.48 (define @t260 () (tptp.apply @t17 @t221)) % 2.23/2.48 (define @t261 () (tptp.ordinal @t33)) % 2.23/2.48 (define @t262 () (tptp.succ @t2)) % 2.23/2.48 (define @t263 () (tptp.apply @t2 @t17)) % 2.23/2.48 (define @t264 () (= @t195 @t1)) % 2.23/2.48 (define @t265 () (exists @t91 (and @t41 @t185 @t264 (forall @t62 (=> @t35 (= @t263 @t200)))))) % 2.23/2.48 (define @t266 () (= @t1 @t17)) % 2.23/2.48 (define @t267 () (tptp.relation_rng @t61)) % 2.23/2.48 (define @t268 () (tptp.relation_rng @t2)) % 2.23/2.48 (define @t269 () (forall @t62 (not (and @t121 (not (tptp.are_equipotent @t17 @t2)) @t117)))) % 2.23/2.48 (define @t270 () (tptp.powerset @t17)) % 2.23/2.48 (define @t271 () (forall @t38 (=> (and @t95 (tptp.subset @t33 @t17)) @t48))) % 2.23/2.48 (define @t272 () (tptp.relation_dom_restriction @t17 @t2)) % 2.23/2.48 (define @t273 () (tptp.relation_image @t2 @t1)) % 2.23/2.48 (define @t274 () (tptp.relation_inverse_image @t2 @t1)) % 2.23/2.48 (define @t275 () (tptp.relation_image @t2 @t274)) % 2.23/2.48 (define @t276 () (tptp.set_intersection2 @t195 @t1)) % 2.23/2.48 (define @t277 () (tptp.subset @t1 @t268)) % 2.23/2.48 (define @t278 () (tptp.relation_of2_as_subset @t33 @t17 @t2)) % 2.23/2.48 (define @t279 () (tptp.relation_rng @t33)) % 2.23/2.48 (define @t280 () (tptp.relation_of2_as_subset @t33 @t17 @t1)) % 2.23/2.48 (define @t281 () (tptp.relation_rng @t158)) % 2.23/2.48 (define @t282 () (tptp.relation_inverse_image @t17 @t2)) % 2.23/2.48 (define @t283 () (=> @t43 @t278)) % 2.23/2.48 (define @t284 () (forall @t72 (=> @t280 @t283))) % 2.23/2.48 (define @t285 () (tptp.relation_restriction @t17 @t2)) % 2.23/2.48 (define @t286 () (tptp.relation_restriction @t2 @t1)) % 2.23/2.48 (define @t287 () (tptp.relation_dom_restriction @t2 @t1)) % 2.23/2.48 (define @t288 () (tptp.relation_field @t17)) % 2.23/2.48 (define @t289 () (tptp.in @t1 @t288)) % 2.23/2.48 (define @t290 () (tptp.set_intersection2 @t2 @t17)) % 2.23/2.48 (define @t291 () (tptp.subset @t1 @t17)) % 2.23/2.48 (define @t292 () (tptp.element @t1 @t2)) % 2.23/2.48 (define @t293 () (tptp.subset @t2 @t17)) % 2.23/2.48 (define @t294 () (tptp.in @t1 @t133)) % 2.23/2.48 (define @t295 () (tptp.in @t145 @t17)) % 2.23/2.48 (define @t296 () (tptp.relation_field @t286)) % 2.23/2.48 (define @t297 () (tptp.apply @t17 @t1)) % 2.23/2.48 (define @t298 () (tptp.relation_composition @t17 @t2)) % 2.23/2.48 (define @t299 () (tptp.in @t1 (tptp.relation_dom @t298))) % 2.23/2.48 (define @t300 () (tptp.relation_dom_as_subset @t2 @t1 @t17)) % 2.23/2.48 (define @t301 () (forall @t55 (not @t49))) % 2.23/2.48 (define @t302 () (forall @t57 (not (and @t48 @t301)))) % 2.23/2.48 (define @t303 () (= @t302 (= @t300 @t2))) % 2.23/2.48 (define @t304 () (tptp.relation_of2_as_subset @t17 @t2 @t1)) % 2.23/2.48 (define @t305 () (=> @t304 @t303)) % 2.23/2.48 (define @t306 () (forall @t21 @t305)) % 2.23/2.48 (define @t307 () (tptp.reflexive @t2)) % 2.23/2.48 (define @t308 () (tptp.connected @t2)) % 2.23/2.48 (define @t309 () (tptp.transitive @t2)) % 2.23/2.48 (define @t310 () (tptp.antisymmetric @t2)) % 2.23/2.48 (define @t311 () (tptp.well_ordering @t286)) % 2.23/2.48 (define @t312 () (= @t296 @t1)) % 2.23/2.48 (define @t313 () (tptp.well_orders @t2 @t1)) % 2.23/2.48 (define @t314 () (=> @t43 (= @t29 @t1))) % 2.23/2.48 (define @t315 () (forall @t6 @t314)) % 2.23/2.48 (define @t316 () (tptp.well_founded_relation @t2)) % 2.23/2.48 (define @t317 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 2.23/2.48 (define @t318 () (and @t35 @t95)) % 2.23/2.48 (define @t319 () (not @t156)) % 2.23/2.48 (define @t320 () (= @t1 @t262)) % 2.23/2.48 (define @t321 () (tptp.subset_complement @t1 @t17)) % 2.23/2.48 (define @t322 () (tptp.disjoint @t2 @t17)) % 2.23/2.48 (define @t323 () (tptp.relation_dom @t158)) % 2.23/2.48 (define @t324 () (tptp.set_difference @t1 @t139)) % 2.23/2.48 (define @t325 () (forall @t6 (= @t324 @t29))) % 2.23/2.48 (define @t326 () (tptp.element @t2 @t270)) % 2.23/2.48 (define @t327 () (tptp.in @t17 @t29)) % 2.23/2.48 (define @t328 () (and (tptp.in @t17 @t141) (= @t33 @t263))) % 2.23/2.48 (define @t329 () (tptp.function_inverse @t2)) % 2.23/2.48 (define @t330 () (tptp.relation_dom tptp.empty_set)) % 2.23/2.48 (define @t331 () (= @t141 tptp.empty_set)) % 2.23/2.48 (define @t332 () (= @t54 tptp.empty_set)) % 2.23/2.48 (define @t333 () (tptp.relation_of2_as_subset @t33 @t1 @t2)) % 2.23/2.48 (define @t334 () (tptp.quasi_total @t33 @t1 @t2)) % 2.23/2.48 (define @t335 () (tptp.function @t33)) % 2.23/2.48 (define @t336 () (and @t335 @t334 @t333)) % 2.23/2.48 (define @t337 () (= (tptp.apply @t206 @t2) (tptp.apply @t17 @t2))) % 2.23/2.48 (define @t338 () (= @t93 (tptp.unordered_pair @t2 @t17))) % 2.23/2.48 (define @t339 () (and @t335 (tptp.quasi_total @t33 @t1 @t17) (tptp.relation_of2_as_subset @t33 @t1 @t17))) % 2.23/2.48 (define @t340 () (and @t82 @t101)) % 2.23/2.48 (define @t341 () (or @t340 @t339)) % 2.23/2.48 (define @t342 () (=> @t293 @t341)) % 2.23/2.48 (define @t343 () (forall @t72 (=> @t336 @t342))) % 2.23/2.48 (define @t344 () (not @t343)) % 2.23/2.48 (define @t345 () (not @t293)) % 2.23/2.48 (define @t346 () (not @t333)) % 2.23/2.48 (define @t347 () (not @t334)) % 2.23/2.48 (define @t348 () (not @t335)) % 2.23/2.48 (define @t349 () (or @t348 @t347 @t346 @t345 @t340 @t339)) % 2.23/2.48 (define @t350 () (forall @t72 @t349)) % 2.23/2.48 (define @t351 () (@quantifiers_skolemize @t350 2)) % 2.23/2.48 (define @t352 () (@quantifiers_skolemize @t350 1)) % 2.23/2.48 (define @t353 () (@list @t352 @t351)) % 2.23/2.48 (define @t354 () (or @t345 @t340 @t339)) % 2.23/2.48 (define @t355 () (or @t348 @t347 @t346)) % 2.23/2.48 (define @t356 () (@quantifiers_skolemize @t350 0)) % 2.23/2.48 (define @t357 () (@quantifiers_skolemize @t350 3)) % 2.23/2.48 (define @t358 () (tptp.relation_of2_as_subset @t357 @t356 @t351)) % 2.23/2.48 (define @t359 () (tptp.quasi_total @t357 @t356 @t351)) % 2.23/2.48 (define @t360 () (tptp.function @t357)) % 2.23/2.48 (define @t361 () (and @t360 @t359 @t358)) % 2.23/2.48 (define @t362 () (= tptp.empty_set @t356)) % 2.23/2.48 (define @t363 () (not @t362)) % 2.23/2.48 (define @t364 () (= tptp.empty_set @t352)) % 2.23/2.48 (define @t365 () (and @t364 @t363)) % 2.23/2.48 (define @t366 () (tptp.subset @t352 @t351)) % 2.23/2.48 (define @t367 () (not @t366)) % 2.23/2.48 (define @t368 () (tptp.relation_of2_as_subset @t357 @t356 @t352)) % 2.23/2.48 (define @t369 () (not @t368)) % 2.23/2.48 (define @t370 () (tptp.quasi_total @t357 @t356 @t352)) % 2.23/2.48 (define @t371 () (not @t370)) % 2.23/2.48 (define @t372 () (not @t360)) % 2.23/2.48 (define @t373 () (or @t372 @t371 @t369 @t367 @t365 @t361)) % 2.23/2.48 (define @t374 () (not @t373)) % 2.23/2.48 (define @t375 () (not @t350)) % 2.23/2.48 (define @t376 () (= @t356 tptp.empty_set)) % 2.23/2.48 (define @t377 () (not @t376)) % 2.23/2.48 (define @t378 () (= @t352 tptp.empty_set)) % 2.23/2.48 (define @t379 () (and @t378 @t377)) % 2.23/2.48 (define @t380 () (or @t372 @t371 @t369 @t367 @t379 @t361)) % 2.23/2.48 (define @t381 () (not @t380)) % 2.23/2.48 (define @t382 () (@list true)) % 2.23/2.48 (define @t383 () (@list @t373)) % 2.23/2.48 (define @t384 () (tptp.set_difference @t352 @t351)) % 2.23/2.48 (define @t385 () (= tptp.empty_set @t384)) % 2.23/2.48 (define @t386 () (= @t366 @t385)) % 2.23/2.48 (define @t387 () (@list false false)) % 2.23/2.48 (define @t388 () (@list @t366 @t386)) % 2.23/2.48 (define @t389 () (= @t1 @t29)) % 2.23/2.48 (define @t390 () (tptp.set_intersection2 @t352 @t351)) % 2.23/2.48 (define @t391 () (= @t352 @t390)) % 2.23/2.48 (define @t392 () (or @t367 @t391)) % 2.23/2.48 (define @t393 () (not @t43)) % 2.23/2.48 (define @t394 () (not @t280)) % 2.23/2.48 (define @t395 () (or @t369 @t367 @t358)) % 2.23/2.48 (define @t396 () (not @t358)) % 2.23/2.48 (define @t397 () (not @t359)) % 2.23/2.48 (define @t398 () (= @t352 @t351)) % 2.23/2.48 (define @t399 () (not @t398)) % 2.23/2.48 (define @t400 () (and @t397 @t398 @t370)) % 2.23/2.48 (define @t401 () (or @t112 @t80 @t79)) % 2.23/2.48 (define @t402 () (not @t87)) % 2.23/2.48 (define @t403 () (= @t357 tptp.empty_set)) % 2.23/2.48 (define @t404 () (= @t359 @t403)) % 2.23/2.48 (define @t405 () (= @t351 tptp.empty_set)) % 2.23/2.48 (define @t406 () (not @t405)) % 2.23/2.48 (define @t407 () (or @t406 @t376 @t404)) % 2.23/2.48 (define @t408 () (= @t356 (tptp.relation_dom_as_subset @t356 @t351 @t357))) % 2.23/2.48 (define @t409 () (= @t359 @t408)) % 2.23/2.48 (define @t410 () (and @t405 @t377)) % 2.23/2.48 (define @t411 () (or @t410 @t409)) % 2.23/2.48 (define @t412 () (and @t411 @t407)) % 2.23/2.48 (define @t413 () (or @t396 @t412)) % 2.23/2.48 (define @t414 () (forall @t21 (or @t402 (and (or @t340 @t84) @t401)))) % 2.23/2.48 (define @t415 () (= tptp.empty_set @t357)) % 2.23/2.48 (define @t416 () (= tptp.empty_set @t351)) % 2.23/2.48 (define @t417 () (not @t416)) % 2.23/2.48 (define @t418 () (and @t416 @t363)) % 2.23/2.48 (define @t419 () (or @t418 @t409)) % 2.23/2.48 (define @t420 () (and @t419 (or @t417 @t362 (= @t359 @t415)))) % 2.23/2.48 (define @t421 () (or @t396 @t420)) % 2.23/2.48 (define @t422 () (@list false)) % 2.23/2.48 (define @t423 () (@list @t414)) % 2.23/2.48 (define @t424 () (= (forall @t57 (or @t138 (not @t301))) (= @t2 @t300))) % 2.23/2.48 (define @t425 () (forall @t57 (or (not (tptp.in @t33 @t356)) (not (forall @t55 (not (tptp.in @t46 @t357))))))) % 2.23/2.48 (define @t426 () (= @t425 @t408)) % 2.23/2.48 (define @t427 () (or @t396 @t426)) % 2.23/2.48 (define @t428 () (= @t356 (tptp.relation_dom_as_subset @t356 @t352 @t357))) % 2.23/2.48 (define @t429 () (or @t369 (= @t425 @t428))) % 2.23/2.48 (define @t430 () (forall @t21 (or (not @t304) @t424))) % 2.23/2.48 (define @t431 () (= @t428 @t425)) % 2.23/2.48 (define @t432 () (or @t369 @t431)) % 2.23/2.48 (define @t433 () (= @t370 @t403)) % 2.23/2.48 (define @t434 () (not @t378)) % 2.23/2.48 (define @t435 () (or @t434 @t376 @t433)) % 2.23/2.48 (define @t436 () (= @t370 @t428)) % 2.23/2.48 (define @t437 () (or @t379 @t436)) % 2.23/2.48 (define @t438 () (and @t437 @t435)) % 2.23/2.48 (define @t439 () (or @t369 @t438)) % 2.23/2.48 (define @t440 () (or @t365 @t436)) % 2.23/2.48 (define @t441 () (and @t440 (or (not @t364) @t362 (= @t370 @t415)))) % 2.23/2.48 (define @t442 () (or @t369 @t441)) % 2.23/2.48 (define @t443 () (@list true false)) % 2.23/2.48 (define @t444 () (not @t409)) % 2.23/2.48 (define @t445 () (= @t390 (tptp.set_difference @t352 @t384))) % 2.23/2.48 (define @t446 () (not @t445)) % 2.23/2.48 (define @t447 () (not @t391)) % 2.23/2.48 (define @t448 () (not @t385)) % 2.23/2.48 (define @t449 () (= tptp.empty_set @t330)) % 2.23/2.48 (define @t450 () (not @t449)) % 2.23/2.48 (define @t451 () (= tptp.empty_set @t390)) % 2.23/2.48 (define @t452 () (and @t449 @t451 @t391 @t385 @t416 @t399)) % 2.23/2.48 (assume @p1 (forall @t6 (=> @t5 @t4))) % 2.23/2.48 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 2.23/2.48 (assume @p3 (forall @t11 (=> @t10 @t9))) % 2.23/2.48 (assume @p4 (forall @t11 (=> @t15 @t14))) % 2.23/2.48 (assume @p5 (forall @t11 (=> @t10 @t16))) % 2.23/2.48 (assume @p6 (forall @t21 (=> @t20 @t18))) % 2.23/2.48 (assume @p7 (forall @t11 (=> @t24 @t23))) % 2.23/2.48 (assume @p8 (forall @t11 (=> @t14 @t15))) % 2.23/2.48 (assume @p9 (forall @t11 (=> @t10 @t25))) % 2.23/2.48 (assume @p10 (forall @t6 (= @t26 (tptp.unordered_pair @t2 @t1)))) % 2.23/2.48 (assume @p11 (forall @t6 (= @t28 @t27))) % 2.23/2.48 (assume @p12 (forall @t6 (= @t29 (tptp.set_intersection2 @t2 @t1)))) % 2.23/2.48 (assume @p13 (forall @t6 (=> @t32 (or @t30 (tptp.ordinal_subset @t2 @t1))))) % 2.23/2.48 (assume @p14 (forall @t6 (=> @t41 (= @t40 (forall @t38 (= @t37 (and @t35 @t34))))))) % 2.23/2.48 (assume @p15 (forall @t6 (= @t44 (and @t43 @t42)))) % 2.23/2.48 (assume @p16 (forall @t11 (=> @t16 (forall @t52 (=> @t18 (= (= @t17 @t51) (forall @t50 (= @t49 (and @t48 @t47))))))))) % 2.23/2.48 (assume @p17 (forall @t11 (=> @t59 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t54) @t53 (= @t33 (tptp.apply @t1 @t45))))))))))) % 2.23/2.48 (assume @p18 (forall @t6 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t61) (forall @t50 (= @t49 (and @t60 (tptp.in @t46 @t2)))))))))) % 2.23/2.48 (assume @p19 (forall @t11 (=> @t16 (= @t64 (tptp.is_antisymmetric_in @t1 @t63))))) % 2.23/2.48 (assume @p20 (forall @t11 (=> @t59 (forall @t52 (= @t67 (forall @t57 (= @t56 (and @t66 (tptp.in @t65 @t2))))))))) % 2.23/2.48 (assume @p21 (forall @t11 (=> @t16 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t68 @t1) @t53))))))))) % 2.23/2.48 (assume @p22 (forall @t11 (=> @t16 (forall @t52 (= @t67 (forall @t57 (= @t56 (exists @t55 (and @t47 @t53))))))))) % 2.23/2.48 (assume @p23 (forall @t11 (=> @t16 (= @t69 (tptp.is_connected_in @t1 @t63))))) % 2.23/2.48 (assume @p24 (forall @t11 (=> @t16 (= @t70 (tptp.is_transitive_in @t1 @t63))))) % 2.23/2.48 (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))))))))) % 2.23/2.48 (assume @p26 (forall @t11 (= @t9 (forall @t76 (=> (and @t75 @t73) @t34))))) % 2.23/2.48 (assume @p27 @t88) % 2.23/2.48 (assume @p28 (forall @t11 (=> @t92 (forall @t91 (= (= @t2 (tptp.pair_first @t1)) (forall @t38 (=> @t90 @t89))))))) % 2.23/2.48 (assume @p29 (forall @t11 (= @t94 (tptp.set_union2 @t1 @t93)))) % 2.23/2.48 (assume @p30 (forall @t11 (= @t16 (forall @t91 (not (and @t3 (forall @t38 (not (= @t2 @t36))))))))) % 2.23/2.48 (assume @p31 (forall @t11 (=> @t16 (forall @t91 (= @t96 (forall @t62 (=> @t95 (tptp.in (tptp.ordered_pair @t17 @t17) @t1)))))))) % 2.23/2.48 (assume @p32 (forall @t21 (= @t97 (tptp.subset @t17 @t19)))) % 2.23/2.48 (assume @p33 (forall @t6 (and (=> @t101 (= @t98 (forall @t62 (= @t95 (forall @t57 (=> @t100 @t99)))))) (=> @t80 (= @t98 @t82))))) % 2.23/2.48 (assume @p34 (forall @t6 (= (= @t2 @t93) (forall @t62 (= @t95 (= @t17 @t1)))))) % 2.23/2.48 (assume @p35 (forall @t11 (=> @t16 (forall @t52 (= (= @t17 (tptp.fiber @t1 @t2)) (forall @t57 (= @t56 (and (not @t102) (tptp.in (tptp.ordered_pair @t33 @t2) @t1))))))))) % 2.23/2.48 (assume @p36 (forall @t6 (=> @t41 (= (= @t2 @t105) (and (= @t104 @t1) (forall @t38 (=> (and @t35 @t100) (= @t37 @t103)))))))) % 2.23/2.48 (assume @p37 (forall @t11 (= @t80 (forall @t91 @t4)))) % 2.23/2.48 (assume @p38 (forall @t6 (= (= @t2 @t106) (forall @t62 (= @t95 (tptp.subset @t17 @t1)))))) % 2.23/2.48 (assume @p39 (forall @t11 (=> @t92 (forall @t91 (= (= @t2 (tptp.pair_second @t1)) (forall @t38 (=> @t90 @t107))))))) % 2.23/2.48 (assume @p40 (forall @t11 (= @t13 (forall @t91 (=> @t3 @t42))))) % 2.23/2.48 (assume @p41 (forall @t11 (=> @t16 (forall @t91 (=> @t41 (= @t44 (forall @t38 (= @t108 @t37)))))))) % 2.23/2.48 (assume @p42 (forall @t6 (and (=> @t111 (= @t110 @t3)) (=> @t10 (= @t110 @t109))))) % 2.23/2.48 (assume @p43 (forall @t21 (= (= @t17 @t26) (forall @t57 (= @t56 (or (= @t33 @t1) @t102)))))) % 2.23/2.48 (assume @p44 (forall @t11 (=> @t16 (= @t113 (forall @t91 (not (and (tptp.subset @t2 @t63) @t112 (forall @t62 (not (and @t95 (tptp.disjoint (tptp.fiber @t1 @t17) @t2))))))))))) % 2.23/2.48 (assume @p45 (forall @t21 (= (= @t17 @t28) (forall @t57 (= @t56 (or @t100 @t48)))))) % 2.23/2.48 (assume @p46 (forall @t21 (= (= @t17 @t19) (forall @t57 (= @t56 (exists @t116 (and @t60 (tptp.in @t114 @t2) (= @t33 @t115)))))))) % 2.23/2.48 (assume @p47 (forall @t11 (= @t12 (forall @t52 (not (and @t3 @t35 (not @t119) @t118 @t117)))))) % 2.23/2.48 (assume @p48 (forall @t11 (=> @t16 (forall @t91 (=> @t41 (= @t43 (forall @t38 (=> @t108 @t37)))))))) % 2.23/2.48 (assume @p49 (forall @t6 (= @t43 @t120))) % 2.23/2.48 (assume @p50 (forall @t11 (=> @t16 (forall @t91 (= @t122 (forall @t62 (not (and @t121 (not @t77) (forall @t57 (not (and @t56 (tptp.disjoint (tptp.fiber @t1 @t33) @t17)))))))))))) % 2.23/2.48 (assume @p51 (forall @t21 (= (= @t17 @t29) (forall @t57 (= @t56 (and @t100 @t48)))))) % 2.23/2.48 (assume @p52 (forall @t11 (=> @t59 (forall @t52 (and (=> @t125 (= @t124 @t75)) (=> (not @t125) (= @t124 @t77))))))) % 2.23/2.48 (assume @p53 (forall @t11 (= @t15 @t14))) % 2.23/2.48 (assume @p54 (forall @t11 (=> @t16 (forall @t91 (= (= @t2 @t54) (forall @t62 (= @t95 (exists @t57 @t108)))))))) % 2.23/2.48 (assume @p55 (forall @t11 (=> @t16 (forall @t91 (= @t127 (forall @t38 (=> (and @t95 @t48 @t108 @t126) @t34))))))) % 2.23/2.48 (assume @p56 (forall @t11 (= @t128 @t1))) % 2.23/2.48 (assume @p57 (forall @t6 (= (= @t2 @t129) (forall @t62 (= @t95 (exists @t57 (and @t99 @t100))))))) % 2.23/2.48 (assume @p58 (forall @t11 (=> @t16 (= @t131 (and @t130 @t70 @t64 @t69 @t113))))) % 2.23/2.48 (assume @p59 (forall @t6 (= @t137 (exists @t62 (and @t18 @t136 @t135 @t134 (= @t132 @t2)))))) % 2.23/2.48 (assume @p60 (forall @t21 (= (= @t17 @t139) (forall @t57 (= @t56 (and @t100 @t138)))))) % 2.23/2.48 (assume @p61 (forall @t11 (=> @t59 (forall @t91 (= @t142 (forall @t62 (= @t95 (exists @t57 @t140)))))))) % 2.23/2.48 (assume @p62 (forall @t11 (=> @t16 (forall @t91 (= @t142 (forall @t62 (= @t95 (exists @t57 @t126)))))))) % 2.23/2.48 (assume @p63 (forall @t6 (=> @t144 (= @t143 @t139)))) % 2.23/2.48 (assume @p64 (forall @t6 (= @t145 (tptp.unordered_pair @t26 @t93)))) % 2.23/2.48 (assume @p65 (forall @t11 (=> @t16 (forall @t91 (= (tptp.well_orders @t1 @t2) (and @t96 @t147 @t127 @t146 @t122)))))) % 2.23/2.48 (assume @p66 (forall @t11 (= @t148 (= @t1 @t129)))) % 2.23/2.48 (assume @p67 (forall @t11 (=> @t16 (= @t63 (tptp.set_union2 @t54 @t141))))) % 2.23/2.48 (assume @p68 (forall @t11 (=> @t16 (forall @t91 (= @t146 (forall @t38 (not (and @t95 @t48 (not @t34) (not @t108) (not @t126))))))))) % 2.23/2.48 (assume @p69 (forall @t11 (=> @t16 (forall @t91 (= @t150 (tptp.set_intersection2 @t1 @t149)))))) % 2.23/2.48 (assume @p70 (forall @t11 (=> @t16 (forall @t91 (=> @t41 (= (= @t2 @t151) (forall @t38 (= @t37 @t126)))))))) % 2.23/2.48 (assume @p71 (forall @t11 (=> @t16 (forall @t91 (=> @t41 (forall @t62 (=> @t155 (= @t154 (and (= @t133 @t63) (= @t132 @t104) @t135 (forall @t50 (= @t47 (and (tptp.in @t33 @t63) (tptp.in @t45 @t63) (tptp.in (tptp.ordered_pair @t153 @t152) @t2))))))))))))) % 2.23/2.48 (assume @p72 (forall @t6 (= @t156 (= @t29 tptp.empty_set)))) % 2.23/2.48 (assume @p73 (forall @t11 (=> @t59 (= @t22 (forall @t52 (=> (and @t125 (tptp.in @t17 @t54) (= @t123 (tptp.apply @t1 @t17))) @t89)))))) % 2.23/2.48 (assume @p74 (forall @t11 (=> @t16 (forall @t91 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t158) (forall @t50 (= @t49 (exists @t157 (and (tptp.in (tptp.ordered_pair @t33 @t114) @t1) (tptp.in (tptp.ordered_pair @t114 @t45) @t2))))))))))))) % 2.23/2.48 (assume @p75 (forall @t11 (=> @t16 (forall @t91 (= @t147 (forall @t159 (=> (and @t95 @t48 @t53 @t108 @t47) (tptp.in (tptp.ordered_pair @t17 @t45) @t1)))))))) % 2.23/2.48 (assume @p76 (forall @t6 (=> @t162 (forall @t62 (=> (tptp.element @t17 @t161) (= (= @t17 @t160) (forall @t57 (=> (tptp.element @t33 @t106) (= @t56 (tptp.in (tptp.subset_complement @t1 @t33) @t2)))))))))) % 2.23/2.48 (assume @p77 (forall @t6 (= @t8 (and @t43 @t163)))) % 2.23/2.48 (assume @p78 (forall @t11 (=> @t59 (=> @t22 (= @t164 @t151))))) % 2.23/2.48 (assume @p79 (forall @t11 (=> @t16 (= @t130 (tptp.is_reflexive_in @t1 @t63))))) % 2.23/2.48 (assume @p80 true) % 2.23/2.48 (assume @p81 (forall @t11 (tptp.relation @t105))) % 2.23/2.48 (assume @p82 (forall @t11 (=> @t59 (and (tptp.relation @t164) (tptp.function @t164))))) % 2.23/2.48 (assume @p83 (forall @t11 (tptp.element @t128 @t106))) % 2.23/2.48 (assume @p84 (forall @t6 (=> @t16 (tptp.relation @t150)))) % 2.23/2.48 (assume @p85 (forall @t6 (=> @t144 (tptp.element @t143 @t106)))) % 2.23/2.48 (assume @p86 (forall @t11 (=> @t16 @t165))) % 2.23/2.48 (assume @p87 (forall @t21 (=> @t97 (tptp.element @t83 @t106)))) % 2.23/2.48 (assume @p88 (forall @t6 (=> @t167 @t166))) % 2.23/2.48 (assume @p89 (forall @t21 (=> @t97 (tptp.element @t169 @t168)))) % 2.23/2.48 (assume @p90 (forall @t6 (=> @t162 (tptp.element @t170 @t106)))) % 2.23/2.48 (assume @p91 (forall @t11 @t171)) % 2.23/2.48 (assume @p92 (forall @t6 (=> @t162 (tptp.element @t172 @t106)))) % 2.23/2.48 (assume @p93 (forall @t21 (=> @t175 (tptp.element @t173 @t106)))) % 2.23/2.48 (assume @p94 (forall @t6 (=> @t16 @t176))) % 2.23/2.48 (assume @p95 (forall @t6 (=> @t162 (tptp.element @t160 @t161)))) % 2.23/2.48 (assume @p96 (forall @t6 (=> @t41 @t177))) % 2.23/2.48 (assume @p97 (forall @t21 (=> @t87 @t20))) % 2.23/2.48 (assume @p98 (forall @t6 (exists @t62 @t97))) % 2.23/2.48 (assume @p99 (forall @t11 (exists @t91 @t110))) % 2.23/2.48 (assume @p100 (forall @t6 (exists @t62 @t87))) % 2.23/2.48 (assume @p101 (forall @t6 (=> @t179 (and (tptp.empty @t178) (tptp.relation @t178))))) % 2.23/2.48 (assume @p102 (forall @t11 (=> @t10 (and (tptp.empty @t151) @t165)))) % 2.23/2.48 (assume @p103 (and @t182 @t181 @t180)) % 2.23/2.48 (assume @p104 (forall @t6 (=> @t184 (and @t176 (tptp.relation_empty_yielding @t51))))) % 2.23/2.48 (assume @p105 (forall @t6 (=> (and @t16 @t9 @t41 @t185) (and @t166 (tptp.function @t158))))) % 2.23/2.48 (assume @p106 (forall @t11 @t186)) % 2.23/2.48 (assume @p107 (forall @t6 (=> @t167 (tptp.relation @t29)))) % 2.23/2.48 (assume @p108 (forall @t11 (not (tptp.empty @t106)))) % 2.23/2.48 (assume @p109 @t182) % 2.23/2.48 (assume @p110 (forall @t6 (not (tptp.empty @t145)))) % 2.23/2.48 (assume @p111 (forall @t11 (and @t171 (tptp.function @t39)))) % 2.23/2.48 (assume @p112 (and @t181 @t180 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t182 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 2.23/2.48 (assume @p113 (forall @t6 (=> @t167 (tptp.relation @t28)))) % 2.23/2.48 (assume @p114 (forall @t11 (not (tptp.empty @t93)))) % 2.23/2.48 (assume @p115 (forall @t6 (=> @t111 (not (tptp.empty @t28))))) % 2.23/2.48 (assume @p116 (forall @t11 (=> @t23 (and @t165 (tptp.function @t151))))) % 2.23/2.48 (assume @p117 (forall @t11 (=> @t15 (and @t186 (tptp.epsilon_transitive @t94) (tptp.epsilon_connected @t94) (tptp.ordinal @t94))))) % 2.23/2.48 (assume @p118 (forall @t6 (=> @t167 (tptp.relation @t139)))) % 2.23/2.48 (assume @p119 (forall @t6 (not (tptp.empty @t26)))) % 2.23/2.48 (assume @p120 (forall @t6 (=> @t111 (not (tptp.empty @t27))))) % 2.23/2.48 (assume @p121 (forall @t6 (=> @t59 (and @t176 (tptp.function @t51))))) % 2.23/2.48 (assume @p122 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t129) (tptp.epsilon_connected @t129) (tptp.ordinal @t129))))) % 2.23/2.48 (assume @p123 (and @t182 @t181)) % 2.23/2.48 (assume @p124 (forall @t6 (=> (and @t111 @t187) (not (tptp.empty @t19))))) % 2.23/2.48 (assume @p125 (forall @t6 (=> @t188 (and @t177 (tptp.function @t61))))) % 2.23/2.48 (assume @p126 (forall @t11 (=> @t190 (not @t189)))) % 2.23/2.48 (assume @p127 (forall @t11 (=> @t190 (not @t191)))) % 2.23/2.48 (assume @p128 (forall @t11 (=> @t10 (and @t189 (tptp.relation @t54))))) % 2.23/2.48 (assume @p129 (forall @t11 (=> @t10 (and @t191 (tptp.relation @t141))))) % 2.23/2.48 (assume @p130 (forall @t6 (=> @t179 (and (tptp.empty @t158) @t166)))) % 2.23/2.48 (assume @p131 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 2.23/2.48 (assume @p132 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 2.23/2.48 (assume @p133 (forall @t6 (=> @t144 (= (tptp.subset_complement @t1 @t143) @t2)))) % 2.23/2.48 (assume @p134 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t151) @t1)))) % 2.23/2.48 (assume @p135 (forall @t6 (=> @t162 (= (tptp.complements_of_subsets @t1 @t160) @t2)))) % 2.23/2.48 (assume @p136 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 2.23/2.48 (assume @p137 (forall @t11 (=> @t16 (= @t130 (forall @t91 (=> @t192 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 2.23/2.48 (assume @p138 (forall @t11 (not (= @t93 tptp.empty_set)))) % 2.23/2.48 (assume @p139 (forall @t6 (=> @t5 (= (tptp.set_union2 @t93 @t2) @t2)))) % 2.23/2.48 (assume @p140 (forall @t6 (not (and @t193 @t5)))) % 2.23/2.48 (assume @p141 (forall @t6 (=> @t194 @t193))) % 2.23/2.48 (assume @p142 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_dom @t61) @t195)))) % 2.23/2.48 (assume @p143 (forall @t11 (=> @t16 (= @t70 (forall @t76 (=> (and @t75 @t108) @t73)))))) % 2.23/2.48 (assume @p144 (forall @t6 (= (tptp.subset @t93 @t2) @t5))) % 2.23/2.48 (assume @p145 (forall @t6 (=> @t41 (not (and @t196 (tptp.equipotent @t1 @t104) (forall @t62 (=> @t18 (not (tptp.well_orders @t17 @t1))))))))) % 2.23/2.48 (assume @p146 @t198) % 2.23/2.48 (assume @p147 (forall @t6 (=> @t144 (forall @t62 (=> @t95 @t35))))) % 2.23/2.48 (assume @p148 (forall @t11 (=> @t16 (= @t64 (forall @t52 (=> (and @t75 @t199) @t89)))))) % 2.23/2.48 (assume @p149 (forall @t21 (=> @t43 (or @t35 (tptp.subset @t1 (tptp.set_difference @t2 @t200)))))) % 2.23/2.48 (assume @p150 (forall @t11 (=> @t16 (= @t69 (forall @t52 (not (and @t192 (tptp.in @t17 @t63) @t118 @t201 (not @t199)))))))) % 2.23/2.48 (assume @p151 (forall @t6 (= (tptp.subset @t1 @t202) (or @t80 (= @t1 @t202))))) % 2.23/2.48 (assume @p152 (forall @t6 (=> @t5 (tptp.subset @t1 @t203)))) % 2.23/2.48 (assume @p153 (forall @t72 (= (tptp.in @t145 (tptp.cartesian_product2 @t17 @t33)) (and @t204 (tptp.in @t2 @t33))))) % 2.23/2.48 (assume @p154 (forall @t6 (=> @t120 @t205))) % 2.23/2.48 (assume @p155 (forall @t21 (=> @t155 (= @t207 (and (tptp.in @t2 @t133) @t3))))) % 2.23/2.48 (assume @p156 (exists @t11 @t59)) % 2.23/2.48 (assume @p157 (forall @t6 (exists @t62 (and @t97 @t18 @t136 @t78)))) % 2.23/2.48 (assume @p158 (exists @t11 @t25)) % 2.23/2.48 (assume @p159 (exists @t11 (and @t16 @t9 @t22 @t10))) % 2.23/2.48 (assume @p160 (exists @t11 (and @t10 @t16))) % 2.23/2.48 (assume @p161 (forall @t11 (=> @t111 (exists @t91 (and @t144 @t187))))) % 2.23/2.48 (assume @p162 (exists @t11 @t10)) % 2.23/2.48 (assume @p163 (exists @t11 @t24)) % 2.23/2.48 (assume @p164 (exists @t11 (and @t16 @t9 @t22 @t10 @t13 @t12 @t15))) % 2.23/2.48 (assume @p165 (forall @t6 (exists @t62 (and @t97 @t18 @t136)))) % 2.23/2.48 (assume @p166 (exists @t11 @t190)) % 2.23/2.48 (assume @p167 (forall @t11 (exists @t91 (and @t144 @t109)))) % 2.23/2.48 (assume @p168 (exists @t11 @t111)) % 2.23/2.48 (assume @p169 (exists @t11 @t23)) % 2.23/2.48 (assume @p170 (exists @t11 (and @t111 @t13 @t12 @t15))) % 2.23/2.48 (assume @p171 (exists @t11 @t184)) % 2.23/2.48 (assume @p172 (exists @t11 (and @t16 @t183 @t9))) % 2.23/2.48 (assume @p173 (forall @t21 (=> @t97 (= @t83 @t133)))) % 2.23/2.48 (assume @p174 (forall @t21 (=> @t97 (= @t169 @t132)))) % 2.23/2.48 (assume @p175 (forall @t6 (=> @t162 (= @t170 @t203)))) % 2.23/2.48 (assume @p176 (forall @t6 (=> @t162 (= @t172 (tptp.set_meet @t2))))) % 2.23/2.48 (assume @p177 (forall @t21 (=> @t175 (= @t173 @t208)))) % 2.23/2.48 (assume @p178 (forall @t21 (= @t87 @t97))) % 2.23/2.48 (assume @p179 (forall @t6 (=> @t32 (= @t30 @t43)))) % 2.23/2.48 (assume @p180 (forall @t6 (= @t137 (tptp.are_equipotent @t1 @t2)))) % 2.23/2.48 (assume @p181 (forall @t6 (=> @t32 (tptp.ordinal_subset @t1 @t1)))) % 2.23/2.48 (assume @p182 (forall @t6 (tptp.subset @t1 @t1))) % 2.23/2.48 (assume @p183 (forall @t6 (tptp.equipotent @t1 @t1))) % 2.23/2.48 (assume @p184 (forall @t6 (=> @t225 (=> @t224 (exists @t62 (and @t18 @t136 (forall @t50 (= @t49 (and @t100 @t100 (exists @t213 (and (= @t33 @t210) (tptp.in @t45 @t210) (forall @t212 (=> @t211 (tptp.in (tptp.ordered_pair @t45 @t209) @t2)))))))))))))) % 2.23/2.48 (assume @p185 (forall @t11 (=> @t228 (exists @t91 (and @t41 @t185 (forall @t38 (= @t37 (and @t35 @t35 (= @t33 @t200))))))))) % 2.23/2.48 (assume @p186 (forall @t11 (=> (exists @t91 (and @t31 @t3)) (exists @t91 (and @t31 @t3 (forall @t62 (=> @t229 (=> @t35 (tptp.ordinal_subset @t2 @t17))))))))) % 2.23/2.48 (assume @p187 (forall @t21 (=> @t233 (exists @t57 (and @t232 (forall @t116 (= (tptp.in @t115 @t33) (and @t60 @t231 (tptp.in (tptp.ordered_pair @t152 @t230) @t2))))))))) % 2.23/2.48 (assume @p188 (forall @t6 (=> @t225 (=> @t224 (exists @t62 (forall @t57 (= @t56 (exists @t55 (and @t60 @t60 (exists @t213 (and (= @t45 @t210) @t235 @t234))))))))))) % 2.23/2.48 (assume @p189 (forall @t6 (=> @t225 (forall @t62 (=> (forall @t253 (=> (and @t214 (exists @t252 (and (= @t251 @t45) @t250 (exists @t218 (and (= @t221 @t215) (tptp.in @t216 @t215) (forall @t213 (=> (tptp.in @t210 @t215) (tptp.in (tptp.ordered_pair @t216 @t210) @t2))))))) @t249 (exists @t248 (and (= @t247 @t114) (tptp.in @t209 @t1) (exists @t246 (and (= @t209 @t245) (tptp.in @t244 @t245) (forall (@list @t243) (=> (tptp.in @t243 @t245) (tptp.in (tptp.ordered_pair @t244 @t243) @t2)))))))) @t242)) (exists @t57 (forall @t55 (= @t71 (exists @t157 (and (tptp.in @t114 @t241) @t240 (exists (@list @t239 @t237) (and (= (tptp.ordered_pair @t239 @t237) @t45) (tptp.in @t239 @t1) (exists (@list @t238) (and (= @t239 @t238) (tptp.in @t237 @t238) (forall (@list @t236) (=> (tptp.in @t236 @t238) (tptp.in (tptp.ordered_pair @t237 @t236) @t2))))))))))))))))) % 2.23/2.48 (assume @p190 (forall @t11 (=> @t228 (exists @t91 (forall @t62 (= @t95 (exists @t57 (and @t100 @t100 (= @t17 (tptp.singleton @t33)))))))))) % 2.23/2.48 (assume @p191 (forall @t6 (=> (forall @t159 (=> (and @t34 (exists @t258 (and (= @t257 @t33) @t231 (= @t221 (tptp.singleton @t114)))) @t256 (exists (@list @t216 @t215) (and (= (tptp.ordered_pair @t216 @t215) @t45) @t255 (= @t215 (tptp.singleton @t216))))) @t214)) (exists @t62 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t19) @t254 (exists (@list @t210 @t209) (and (= (tptp.ordered_pair @t210 @t209) @t33) (tptp.in @t210 @t1) (= @t209 (tptp.singleton @t210)))))))))))) % 2.23/2.48 (assume @p192 (forall @t21 (=> @t233 (=> (forall @t253 (=> (and @t214 (exists @t252 (and (= @t45 @t251) (tptp.in (tptp.ordered_pair @t260 (tptp.apply @t17 @t216)) @t2))) @t249 (exists (@list @t215 @t210) (and (= @t114 (tptp.ordered_pair @t215 @t210)) (tptp.in (tptp.ordered_pair (tptp.apply @t17 @t215) (tptp.apply @t17 @t210)) @t2)))) @t242)) (exists @t57 (forall @t55 (= @t71 (exists @t157 (and (tptp.in @t114 @t259) @t240 (exists @t248 (and (= @t45 @t247) (tptp.in (tptp.ordered_pair (tptp.apply @t17 @t209) (tptp.apply @t17 @t244)) @t2)))))))))))) % 2.23/2.48 (assume @p193 (forall @t11 (=> (forall @t76 (=> (and @t89 @t229 @t107 @t261) @t34)) (exists @t91 (forall @t62 (= @t95 (exists @t57 (and @t100 (= @t33 @t17) @t229)))))))) % 2.23/2.48 (assume @p194 (forall @t6 (=> @t31 (=> (forall @t159 (=> (and @t34 (exists @t157 (and (tptp.ordinal @t114) @t249 @t231)) @t256 (exists @t222 (and (tptp.ordinal @t221) (= @t45 @t221) @t250))) @t214)) (exists @t62 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t262) @t254 (exists @t219 (and (tptp.ordinal @t216) (= @t33 @t216) @t255))))))))))) % 2.23/2.48 (assume @p195 (forall @t6 (=> @t225 (forall @t62 (exists @t57 (forall @t55 (= @t71 (and (tptp.in @t45 @t241) (exists @t258 (and (= @t257 @t45) @t231 (exists @t219 (and (= @t114 @t216) (tptp.in @t221 @t216) (forall @t218 (=> @t217 (tptp.in (tptp.ordered_pair @t221 @t215) @t2))))))))))))))) % 2.23/2.48 (assume @p196 (forall @t6 (exists @t62 (forall @t57 (= @t56 (and (tptp.in @t33 @t19) (exists @t116 (and (= @t115 @t33) @t60 (= @t114 (tptp.singleton @t45)))))))))) % 2.23/2.48 (assume @p197 (forall @t21 (=> @t233 (exists @t57 (forall @t55 (= @t71 (and (tptp.in @t45 @t259) (exists @t258 (and (= @t45 @t257) (tptp.in (tptp.ordered_pair @t230 @t260) @t2)))))))))) % 2.23/2.48 (assume @p198 (forall @t11 (exists @t91 (forall @t62 (= @t95 (and @t35 @t229)))))) % 2.23/2.48 (assume @p199 (forall @t6 (=> @t31 (exists @t62 (forall @t57 (= @t56 (and (tptp.in @t33 @t262) (exists @t55 (and (tptp.ordinal @t45) @t214 @t60))))))))) % 2.23/2.48 (assume @p200 (forall @t6 (=> @t225 (=> (and (forall @t159 (=> (and @t35 @t223 @t220) @t214)) (forall @t62 (not (and @t35 (forall @t57 (not (exists @t213 (and (= @t17 @t210) @t235 @t234)))))))) (exists @t62 (and @t18 @t136 @t134 (forall @t57 (=> @t100 (exists (@list @t244) (and (= @t33 @t244) (tptp.in @t153 @t244) (forall @t246 (=> (tptp.in @t245 @t244) (tptp.in (tptp.ordered_pair @t153 @t245) @t2))))))))))))) % 2.23/2.48 (assume @p201 (forall @t11 (=> (and (forall @t76 (=> (and @t3 @t227 @t226) @t34)) (forall @t91 (not (and @t3 (forall @t62 (not @t227)))))) @t265))) % 2.23/2.48 (assume @p202 (forall @t11 @t265)) % 2.23/2.48 (assume @p203 (forall @t6 (=> @t156 (tptp.disjoint @t2 @t1)))) % 2.23/2.48 (assume @p204 (forall @t6 (=> @t137 (tptp.equipotent @t2 @t1)))) % 2.23/2.48 (assume @p205 (forall @t11 (tptp.in @t1 @t94))) % 2.23/2.48 (assume @p206 (forall @t72 (not (and (= @t26 (tptp.unordered_pair @t17 @t33)) (not @t266) (not (= @t1 @t33)))))) % 2.23/2.48 (assume @p207 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t132)))))) % 2.23/2.48 (assume @p208 (forall @t6 (=> @t41 (tptp.subset @t267 @t1)))) % 2.23/2.48 (assume @p209 (forall @t6 (=> @t41 (tptp.subset @t61 @t2)))) % 2.23/2.48 (assume @p210 (forall @t6 (=> @t41 (tptp.subset @t267 @t268)))) % 2.23/2.48 (assume @p211 (forall @t21 (=> @t43 (and (tptp.subset @t241 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 2.23/2.48 (assume @p212 (forall @t6 (=> @t41 (= @t267 (tptp.set_intersection2 @t268 @t1))))) % 2.23/2.48 (assume @p213 (forall @t72 (=> (and @t43 @t103) (tptp.subset @t241 (tptp.cartesian_product2 @t2 @t33))))) % 2.23/2.48 (assume @p214 (forall @t21 (=> @t87 (and (tptp.subset @t133 @t1) (tptp.subset @t132 @t2))))) % 2.23/2.48 (assume @p215 (forall @t6 (=> @t43 (= @t28 @t2)))) % 2.23/2.48 (assume @p216 (forall @t11 (exists @t91 (and @t5 @t271 (forall @t62 (=> @t95 (tptp.in @t270 @t2))) @t269)))) % 2.23/2.48 (assume @p217 (forall @t21 (=> @t18 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t272))))) % 2.23/2.48 (assume @p218 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_image @t17 @t2)) (exists @t57 (and (tptp.in @t33 @t133) (tptp.in (tptp.ordered_pair @t33 @t1) @t17) @t48)))))) % 2.23/2.48 (assume @p219 (forall @t6 (=> @t41 (tptp.subset @t273 @t268)))) % 2.23/2.48 (assume @p220 (forall @t6 (=> @t188 (tptp.subset @t275 @t1)))) % 2.23/2.48 (assume @p221 (forall @t6 (=> @t41 (= @t273 (tptp.relation_image @t2 @t276))))) % 2.23/2.48 (assume @p222 (forall @t6 (=> @t41 (=> (tptp.subset @t1 @t195) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t273)))))) % 2.23/2.48 (assume @p223 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t54) @t141)))) % 2.23/2.48 (assume @p224 (forall @t6 (=> @t188 (=> @t277 (= @t275 @t1))))) % 2.23/2.48 (assume @p225 (forall @t72 (=> @t280 (=> (tptp.subset @t279 @t2) @t278)))) % 2.23/2.48 (assume @p226 (forall @t11 (=> @t16 (forall @t91 (=> @t41 (= @t281 (tptp.relation_image @t2 @t141))))))) % 2.23/2.48 (assume @p227 (forall @t21 (=> @t18 (= (tptp.in @t1 @t282) (exists @t57 (and (tptp.in @t33 @t132) (tptp.in (tptp.ordered_pair @t1 @t33) @t17) @t48)))))) % 2.23/2.48 (assume @p228 (forall @t6 (=> @t41 (tptp.subset @t274 @t195)))) % 2.23/2.48 (assume @p229 @t284) % 2.23/2.48 (assume @p230 (forall @t21 (=> @t18 (= (tptp.in @t1 @t285) (and @t204 (tptp.in @t1 @t149)))))) % 2.23/2.48 (assume @p231 (forall @t6 (=> @t41 (not (and @t101 @t277 (= @t274 tptp.empty_set)))))) % 2.23/2.48 (assume @p232 (forall @t21 (=> @t18 (=> @t43 (tptp.subset (tptp.relation_inverse_image @t17 @t1) @t282))))) % 2.23/2.48 (assume @p233 (forall @t6 (=> @t41 (= @t286 (tptp.relation_dom_restriction @t61 @t1))))) % 2.23/2.48 (assume @p234 (forall @t6 (tptp.subset @t29 @t1))) % 2.23/2.48 (assume @p235 (forall @t6 (=> @t41 (= @t286 (tptp.relation_rng_restriction @t1 @t287))))) % 2.23/2.48 (assume @p236 (forall @t21 (=> @t18 (=> (tptp.in @t1 (tptp.relation_field @t285)) (and @t289 @t5))))) % 2.23/2.48 (assume @p237 (forall @t21 (=> (and @t43 @t291) (tptp.subset @t1 @t290)))) % 2.23/2.48 (assume @p238 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 2.23/2.48 (assume @p239 (forall @t6 (=> @t5 @t292))) % 2.23/2.48 (assume @p240 (forall @t21 (=> (and @t43 @t293) @t291))) % 2.23/2.48 (assume @p241 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 2.23/2.48 (assume @p242 (forall @t21 (=> @t18 (=> @t295 (and @t294 (tptp.in @t2 @t132)))))) % 2.23/2.48 (assume @p243 (forall @t6 (=> @t41 (and (tptp.subset @t296 @t104) (tptp.subset @t296 @t1))))) % 2.23/2.48 (assume @p244 (forall @t6 (=> @t188 (forall @t62 (=> @t155 (= @t299 (and @t294 (tptp.in @t297 @t195)))))))) % 2.23/2.48 (assume @p245 (forall @t11 (=> @t13 (forall @t91 (=> @t31 (=> @t8 @t5)))))) % 2.23/2.48 (assume @p246 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t54 @t141))))) % 2.23/2.48 (assume @p247 (forall @t21 (=> @t18 (tptp.subset (tptp.fiber (tptp.relation_restriction @t17 @t1) @t2) (tptp.fiber @t17 @t2))))) % 2.23/2.48 (assume @p248 (forall @t6 (=> @t188 (forall @t62 (=> @t155 (=> @t299 (= (tptp.apply @t298 @t1) (tptp.apply @t2 @t297)))))))) % 2.23/2.48 (assume @p249 @t306) % 2.23/2.48 (assume @p250 (forall @t6 (=> @t41 (=> @t307 (tptp.reflexive @t286))))) % 2.23/2.48 (assume @p251 (forall @t6 (=> @t188 (forall @t62 (=> @t155 (=> (tptp.in @t1 @t195) (= (tptp.apply (tptp.relation_composition @t2 @t17) @t1) (tptp.apply @t17 (tptp.apply @t2 @t1))))))))) % 2.23/2.48 (assume @p252 (forall @t6 (=> @t31 (=> @t5 @t15)))) % 2.23/2.48 (assume @p253 (forall @t21 (=> @t87 (= (forall @t57 (not (and @t48 (forall @t55 (not (tptp.in @t68 @t17)))))) (= @t169 @t2))))) % 2.23/2.48 (assume @p254 (forall @t6 (=> @t41 (=> @t308 (tptp.connected @t286))))) % 2.23/2.48 (assume @p255 (forall @t11 (=> @t15 (forall @t91 (=> @t31 (not (and @t194 @t163 @t4))))))) % 2.23/2.48 (assume @p256 (forall @t6 (=> @t41 (=> @t309 (tptp.transitive @t286))))) % 2.23/2.48 (assume @p257 (forall @t11 (=> @t16 (forall @t91 (=> @t41 (=> @t43 (and (tptp.subset @t54 @t195) (tptp.subset @t141 @t268)))))))) % 2.23/2.48 (assume @p258 (forall @t6 (=> @t41 (=> @t310 (tptp.antisymmetric @t286))))) % 2.23/2.48 (assume @p259 (forall @t6 (=> @t41 (=> @t313 (and @t312 @t311))))) % 2.23/2.48 (assume @p260 (forall @t11 (exists @t91 (and @t41 @t313)))) % 2.23/2.48 (assume @p261 (forall @t21 (=> @t43 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t290)))) % 2.23/2.48 (assume @p262 (forall @t11 (=> @t111 (not (and (forall @t91 (not (and @t3 @t82))) (forall @t91 (=> @t188 (not (and @t264 (forall @t62 (=> @t35 (tptp.in @t263 @t17)))))))))))) % 2.23/2.48 (assume @p263 @t315) % 2.23/2.48 (assume @p264 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 2.23/2.48 (assume @p265 (forall @t6 (=> @t292 (or @t109 @t5)))) % 2.23/2.48 (assume @p266 (forall @t6 (=> (forall @t62 (= @t35 @t95)) @t44))) % 2.23/2.48 (assume @p267 (forall @t11 (tptp.reflexive @t105))) % 2.23/2.48 (assume @p268 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 2.23/2.48 (assume @p269 (forall @t21 (=> @t18 (=> @t295 (and @t289 (tptp.in @t2 @t288)))))) % 2.23/2.48 (assume @p270 (forall @t11 (=> (forall @t91 (=> @t3 (and @t31 @t42))) @t15))) % 2.23/2.48 (assume @p271 (forall @t6 (=> @t41 (=> @t316 (tptp.well_founded_relation @t286))))) % 2.23/2.48 (assume @p272 (forall @t6 (=> @t31 (not (and @t43 @t101 (forall @t62 (=> @t229 (not (and @t35 (forall @t57 (=> @t261 (=> @t100 (tptp.ordinal_subset @t17 @t33))))))))))))) % 2.23/2.48 (assume @p273 (forall @t6 (=> @t41 (=> @t196 @t311)))) % 2.23/2.48 (assume @p274 (forall @t11 (=> @t15 (forall @t91 (=> @t31 (= @t5 (tptp.ordinal_subset @t94 @t2))))))) % 2.23/2.48 (assume @p275 (forall @t21 (=> @t43 (tptp.subset (tptp.set_difference @t1 @t17) @t208)))) % 2.23/2.48 (assume @p276 (forall @t72 (=> (= @t145 @t36) (and @t266 @t107)))) % 2.23/2.48 (assume @p277 (forall @t6 (=> @t188 (= @t40 (and @t264 (forall @t62 (=> @t35 (= @t263 @t17)))))))) % 2.23/2.48 (assume @p278 (forall @t6 (=> @t3 (= (tptp.apply @t39 @t2) @t2)))) % 2.23/2.48 (assume @p279 (forall @t6 (tptp.subset @t139 @t1))) % 2.23/2.48 (assume @p280 (forall @t11 (=> @t16 (and (= @t141 (tptp.relation_dom @t151)) (= @t54 (tptp.relation_rng @t151)))))) % 2.23/2.48 (assume @p281 (forall @t21 (= (tptp.subset @t26 @t17) (and @t204 @t119)))) % 2.23/2.48 (assume @p282 (forall @t6 (=> @t41 (=> (and @t196 (tptp.subset @t1 @t104)) @t312)))) % 2.23/2.48 (assume @p283 (forall @t6 (= @t317 @t28))) % 2.23/2.48 (assume @p284 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 2.23/2.48 (assume @p285 (forall @t21 (not (and @t5 @t119 @t35)))) % 2.23/2.48 (assume @p286 (forall @t6 (= @t205 @t43))) % 2.23/2.48 (assume @p287 (forall @t11 (tptp.transitive @t105))) % 2.23/2.48 (assume @p288 (forall @t6 (and (not (and @t319 (forall @t62 (not @t318)))) (not (and (exists @t62 @t318) @t156))))) % 2.23/2.48 (assume @p289 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t80))) % 2.23/2.48 (assume @p290 (forall @t6 (= (tptp.set_difference @t28 @t2) @t139))) % 2.23/2.48 (assume @p291 (forall @t11 (=> @t15 (= @t148 (forall @t91 (=> @t31 (=> @t3 (tptp.in @t262 @t1)))))))) % 2.23/2.48 (assume @p292 (forall @t11 (=> @t15 (and (not (and (not @t148) (forall @t91 (=> @t31 (not @t320))))) (not (and (exists @t91 (and @t31 @t320)) @t148)))))) % 2.23/2.48 (assume @p293 (forall @t6 (=> @t144 (forall @t62 (=> @t174 (= @t322 (tptp.subset @t2 @t321))))))) % 2.23/2.48 (assume @p294 (forall @t11 (=> @t16 (forall @t91 (=> @t41 (tptp.subset @t323 @t54)))))) % 2.23/2.48 (assume @p295 (forall @t11 (=> @t16 (forall @t91 (=> @t41 (tptp.subset @t281 @t268)))))) % 2.23/2.48 (assume @p296 (forall @t6 (=> @t43 (= @t2 @t317)))) % 2.23/2.48 (assume @p297 (forall @t11 (=> @t16 (forall @t91 (=> @t41 (=> (tptp.subset @t141 @t195) (= @t323 @t54))))))) % 2.23/2.48 (assume @p298 (forall @t6 (=> @t162 (not (and @t112 (= @t160 tptp.empty_set)))))) % 2.23/2.48 (assume @p299 (forall @t11 (=> @t16 (forall @t91 (=> @t41 (=> (tptp.subset @t54 @t268) (= (tptp.relation_rng @t178) @t141))))))) % 2.23/2.48 (assume @p300 (forall @t6 (=> @t162 (=> @t112 (= (tptp.subset_difference @t1 @t128 @t170) (tptp.meet_of_subsets @t1 @t160)))))) % 2.23/2.48 (assume @p301 (forall @t6 (=> @t162 (=> @t112 (= (tptp.union_of_subsets @t1 @t160) (tptp.subset_difference @t1 @t128 @t172)))))) % 2.23/2.48 (assume @p302 @t325) % 2.23/2.48 (assume @p303 (forall @t11 (=> @t16 (forall @t91 (=> @t41 (forall @t62 (=> @t155 (=> @t154 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t17)))))))))) % 2.23/2.48 (assume @p304 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 2.23/2.48 (assume @p305 (forall @t21 (=> (and @t5 @t326) (tptp.element @t1 @t17)))) % 2.23/2.48 (assume @p306 (forall @t11 (=> @t15 (tptp.connected @t105)))) % 2.23/2.48 (assume @p307 (forall @t6 (and (not (and @t319 (forall @t62 (not @t327)))) (not (and (exists @t62 @t327) @t156))))) % 2.23/2.48 (assume @p308 (forall @t11 (=> @t101 (forall @t91 (=> @t144 (forall @t62 (=> (tptp.element @t17 @t1) (=> @t117 (tptp.in @t17 @t143))))))))) % 2.23/2.48 (assume @p309 (forall @t11 (=> @t16 (forall @t91 (=> @t41 (forall @t62 (=> @t155 (=> @t154 (and (=> @t130 @t307) (=> @t70 @t309) (=> @t69 @t308) (=> @t64 @t310) (=> @t113 @t316)))))))))) % 2.23/2.48 (assume @p310 (forall @t11 (=> @t59 (=> @t22 (forall @t91 (=> @t188 (= (= @t2 @t164) (and (= @t195 @t141) (forall @t38 (and (=> @t328 @t140) (=> @t140 @t328))))))))))) % 2.23/2.48 (assume @p311 (forall @t21 (=> @t174 (not (and (tptp.in @t2 @t321) @t119))))) % 2.23/2.48 (assume @p312 (forall @t11 (=> @t16 (forall @t91 (=> @t41 (forall @t62 (=> @t155 (=> (and @t131 @t154) @t196)))))))) % 2.23/2.48 (assume @p313 (forall @t11 (=> @t59 (=> @t22 (and (= @t141 (tptp.relation_dom @t164)) (= @t54 (tptp.relation_rng @t164))))))) % 2.23/2.48 (assume @p314 (forall @t11 (=> @t16 (=> (forall @t52 @t201) @t80)))) % 2.23/2.48 (assume @p315 (forall @t6 (=> @t188 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t268)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t329 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t329 @t2) @t1))))))) % 2.23/2.48 (assume @p316 (forall @t21 (not (and @t5 @t326 (tptp.empty @t17))))) % 2.23/2.48 (assume @p317 (forall @t11 (=> @t16 (= @t113 (tptp.is_well_founded_in @t1 @t63))))) % 2.23/2.48 (assume @p318 (forall @t11 (tptp.antisymmetric @t105))) % 2.23/2.48 (assume @p319 (and (= @t330 tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 2.23/2.48 (assume @p320 (forall @t6 (not (and @t43 @t7)))) % 2.23/2.48 (assume @p321 (forall @t11 (=> @t59 (=> @t22 (tptp.one_to_one @t164))))) % 2.23/2.48 (assume @p322 (forall @t21 (=> (and @t43 @t322) (tptp.disjoint @t1 @t17)))) % 2.23/2.48 (assume @p323 (forall @t11 (=> @t16 (=> (or @t332 @t331) @t80)))) % 2.23/2.48 (assume @p324 (forall @t11 (=> @t16 (= @t332 @t331)))) % 2.23/2.48 (assume @p325 (forall @t6 (= (= (tptp.set_difference @t1 @t202) @t1) @t4))) % 2.23/2.48 (assume @p326 (forall @t6 (=> @t188 (forall @t62 (=> @t155 (= (= @t2 @t206) (and (= @t195 (tptp.set_intersection2 @t133 @t1)) (forall @t57 (=> (tptp.in @t33 @t195) (= (tptp.apply @t2 @t33) @t153)))))))))) % 2.23/2.48 (assume @p327 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t93))) % 2.23/2.48 (assume @p328 (forall @t11 (=> @t10 @t80))) % 2.23/2.48 (assume @p329 (forall @t72 (=> @t336 (=> @t35 (or @t82 (tptp.in (tptp.apply @t33 @t17) @t279)))))) % 2.23/2.48 (assume @p330 (forall @t11 (=> @t15 (tptp.well_founded_relation @t105)))) % 2.23/2.48 (assume @p331 (forall @t6 (=> (tptp.subset @t93 @t202) @t44))) % 2.23/2.48 (assume @p332 (forall @t21 (=> @t155 (=> @t207 @t337)))) % 2.23/2.48 (assume @p333 (forall @t11 (and (= (tptp.relation_dom @t39) @t1) (= (tptp.relation_rng @t39) @t1)))) % 2.23/2.48 (assume @p334 (forall @t21 (=> @t155 (=> @t3 @t337)))) % 2.23/2.48 (assume @p335 (forall @t72 (=> @t232 (= (tptp.in @t145 (tptp.relation_composition (tptp.identity_relation @t17) @t33)) (and @t204 (tptp.in @t145 @t33)))))) % 2.23/2.48 (assume @p336 (forall @t6 (not (and @t5 @t109)))) % 2.23/2.48 (assume @p337 (forall @t6 (and (= (tptp.pair_first @t145) @t1) (= (tptp.pair_second @t145) @t2)))) % 2.23/2.48 (assume @p338 (forall @t6 (not (and @t5 (forall @t62 (not (and @t95 (forall @t57 (not (and @t48 @t56)))))))))) % 2.23/2.48 (assume @p339 (forall @t11 (=> @t15 (tptp.well_ordering @t105)))) % 2.23/2.48 (assume @p340 (forall @t6 (tptp.subset @t1 @t28))) % 2.23/2.48 (assume @p341 (forall @t6 (= @t156 (= @t139 @t1)))) % 2.23/2.48 (assume @p342 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_dom @t272)) (and @t5 @t294))))) % 2.23/2.48 (assume @p343 (forall @t6 (=> @t41 (tptp.subset @t287 @t2)))) % 2.23/2.48 (assume @p344 (forall @t6 (not (and @t10 @t163 @t109)))) % 2.23/2.48 (assume @p345 (forall @t21 (=> @t155 (= @t295 (and @t294 (= @t2 @t297)))))) % 2.23/2.48 (assume @p346 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t63) @t131)))) % 2.23/2.48 (assume @p347 (forall @t21 (=> (and @t43 @t121) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 2.23/2.48 (assume @p348 (forall @t21 (=> @t338 @t44))) % 2.23/2.48 (assume @p349 (forall @t6 (=> @t41 (= (tptp.relation_dom @t287) @t276)))) % 2.23/2.48 (assume @p350 (forall @t6 (=> @t41 (= @t287 (tptp.relation_composition @t39 @t2))))) % 2.23/2.48 (assume @p351 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_rng @t287) @t268)))) % 2.23/2.48 (assume @p352 (forall @t11 (= (tptp.union @t106) @t1))) % 2.23/2.48 (assume @p353 @t344) % 2.23/2.48 (assume @p354 (forall @t11 (exists @t91 (and @t5 @t271 (forall @t62 (not (and @t95 (forall @t57 (not (and @t48 (forall @t55 (=> (tptp.subset @t45 @t17) @t71)))))))) @t269)))) % 2.23/2.48 (assume @p355 (forall @t21 (=> @t338 @t89))) % 2.23/2.48 (step @p356 :rule and_elim :premises (@p319) :args (0)) % 2.23/2.48 (step @p357 :rule symm :premises (@p356)) % 2.23/2.48 (step @p358 :rule eq-symm :args (@t139 tptp.empty_set)) % 2.23/2.48 (step @p359 :rule refl :args (@t43)) % 2.23/2.48 (step @p360 :rule cong :premises (@p359 @p358) :args ((= @t43 @t197))) % 2.23/2.48 (step @p361 :rule eq-symm :args (@t197 @t43)) % 2.23/2.48 (step @p362 :rule trans :premises (@p361 @p360)) % 2.23/2.48 (step @p363 :rule cong :premises (@p362) :args (@t198)) % 2.23/2.48 (step @p364 :rule eq_resolve :premises (@p146 @p363)) % 2.23/2.48 (step @p365 :rule instantiate :premises (@p364) :args (@t353)) % 2.23/2.48 (step @p366 :rule aci_norm :args ((= (or @t355 @t354) @t349))) % 2.23/2.48 (step @p367 :rule aci_norm :args ((= (or @t345 @t341) @t354))) % 2.23/2.48 (step @p368 :rule bool-impl-elim :args (@t293 @t341)) % 2.23/2.48 (step @p369 :rule trans :premises (@p368 @p367)) % 2.23/2.48 (step @p370 :rule aci_norm :args ((= (or @t348 (or @t347 @t346)) @t355))) % 2.23/2.48 (step @p371 :rule bool-and-de-morgan :args (@t334 @t333 true)) % 2.23/2.48 (step @p372 :rule refl :args (@t348)) % 2.23/2.48 (step @p373 :rule nary_cong :premises (@p372 @p371) :args ((or @t348 (not (and @t334 @t333))))) % 2.23/2.48 (step @p374 :rule bool-and-de-morgan :args (@t335 @t334 (and @t333))) % 2.23/2.48 (step @p375 :rule trans :premises (@p374 @p373)) % 2.23/2.48 (step @p376 :rule trans :premises (@p375 @p370)) % 2.23/2.48 (step @p377 :rule nary_cong :premises (@p376 @p369) :args ((or (not @t336) @t342))) % 2.23/2.48 (step @p378 :rule trans :premises (@p377 @p366)) % 2.23/2.48 (step @p379 :rule bool-impl-elim :args (@t336 @t342)) % 2.23/2.48 (step @p380 :rule trans :premises (@p379 @p378)) % 2.23/2.48 (step @p381 :rule cong :premises (@p380) :args (@t343)) % 2.23/2.48 (step @p382 :rule cong :premises (@p381) :args (@t344)) % 2.23/2.48 (step @p383 :rule eq_resolve :premises (@p353 @p382)) % 2.23/2.48 (step @p384 :rule refl :args (@t374)) % 2.23/2.48 (step @p385 :rule bool-double-not-elim :args (@t350)) % 2.23/2.48 (step @p386 :rule nary_cong :premises (@p385 @p384) :args ((or (not @t375) @t374))) % 2.23/2.48 (step @p387 :rule refl :args (@t361)) % 2.23/2.48 (step @p388 :rule eq-symm :args (@t356 tptp.empty_set)) % 2.23/2.48 (step @p389 :rule cong :premises (@p388) :args (@t377)) % 2.23/2.48 (step @p390 :rule eq-symm :args (@t352 tptp.empty_set)) % 2.23/2.48 (step @p391 :rule nary_cong :premises (@p390 @p389) :args (@t379)) % 2.23/2.48 (step @p392 :rule refl :args (@t367)) % 2.23/2.48 (step @p393 :rule refl :args (@t369)) % 2.23/2.48 (step @p394 :rule refl :args (@t371)) % 2.23/2.48 (step @p395 :rule refl :args (@t372)) % 2.23/2.48 (step @p396 :rule nary_cong :premises (@p395 @p394 @p393 @p392 @p391 @p387) :args (@t380)) % 2.23/2.48 (step @p397 :rule cong :premises (@p396) :args (@t381)) % 2.23/2.48 (step @p398 :rule refl :args (@t375)) % 2.23/2.48 (step @p399 :rule cong :premises (@p398 @p397) :args ((=> @t375 @t381))) % 2.23/2.48 (assume-push @p677 @t375) % 2.23/2.48 (step @p401 :rule skolemize :premises (@p383)) % 2.23/2.48 (step-pop @p678 :rule scope :premises (@p401)) % 2.23/2.48 (step @p402 :rule process_scope :premises (@p678) :args (@t381)) % 2.23/2.48 (step @p404 :rule eq_resolve :premises (@p402 @p399)) % 2.23/2.48 (step @p405 :rule implies_elim :premises (@p404)) % 2.23/2.48 (step @p406 :rule eq_resolve :premises (@p405 @p386)) % 2.23/2.48 (step @p407 :rule chain_m_resolution :premises (@p406 @p383) :args (@t374 @t382 (@list @t350))) % 2.23/2.48 (step @p408 :rule bool-double-not-elim :args (@t366)) % 2.23/2.48 (step @p409 :rule refl :args (@t373)) % 2.23/2.48 (step @p410 :rule nary_cong :premises (@p409 @p408) :args ((or @t373 (not @t367)))) % 2.23/2.48 (step @p411 :rule cnf_or_neg :args (@t373 3)) % 2.23/2.48 (step @p412 :rule eq_resolve :premises (@p411 @p410)) % 2.23/2.48 (step @p413 :rule reordering :premises (@p412) :args ((or @t366 @t373))) % 2.23/2.48 (step @p414 :rule chain_m_resolution :premises (@p413 @p407) :args (@t366 @t382 @t383)) % 2.23/2.48 (step @p415 :rule cnf_equiv_pos1 :args (@t386)) % 2.23/2.48 (step @p416 :rule reordering :premises (@p415) :args ((or @t367 @t385 (not @t386)))) % 2.23/2.48 (step @p417 :rule chain_m_resolution :premises (@p416 @p414 @p365) :args (@t385 @t387 @t388)) % 2.23/2.48 (step @p418 :rule bool-impl-elim :args (@t43 @t389)) % 2.23/2.48 (step @p419 :rule cong :premises (@p418) :args ((forall @t6 (=> @t43 @t389)))) % 2.23/2.48 (step @p420 :rule eq-symm :args (@t29 @t1)) % 2.23/2.48 (step @p421 :rule cong :premises (@p359 @p420) :args (@t314)) % 2.23/2.48 (step @p422 :rule cong :premises (@p421) :args (@t315)) % 2.23/2.48 (step @p423 :rule trans :premises (@p422 @p419)) % 2.23/2.48 (step @p424 :rule eq_resolve :premises (@p263 @p423)) % 2.23/2.48 (step @p425 :rule instantiate :premises (@p424) :args (@t353)) % 2.23/2.48 (step @p426 :rule cnf_or_pos :args (@t392)) % 2.23/2.48 (step @p427 :rule reordering :premises (@p426) :args ((or @t367 @t391 (not @t392)))) % 2.23/2.48 (step @p428 :rule chain_m_resolution :premises (@p427 @p414 @p425) :args (@t391 @t387 (@list @t366 @t392))) % 2.23/2.48 (step @p429 :rule aci_norm :args ((= (or @t394 (or @t393 @t278)) (or @t394 @t393 @t278)))) % 2.23/2.48 (step @p430 :rule bool-impl-elim :args (@t43 @t278)) % 2.23/2.48 (step @p431 :rule refl :args (@t394)) % 2.23/2.48 (step @p432 :rule nary_cong :premises (@p431 @p430) :args ((or @t394 @t283))) % 2.23/2.48 (step @p433 :rule trans :premises (@p432 @p429)) % 2.23/2.48 (step @p434 :rule bool-impl-elim :args (@t280 @t283)) % 2.23/2.48 (step @p435 :rule trans :premises (@p434 @p433)) % 2.23/2.48 (step @p436 :rule cong :premises (@p435) :args (@t284)) % 2.23/2.48 (step @p437 :rule eq_resolve :premises (@p229 @p436)) % 2.23/2.48 (step @p438 :rule instantiate :premises (@p437) :args ((@list @t352 @t351 @t356 @t357))) % 2.23/2.48 (step @p439 :rule bool-double-not-elim :args (@t368)) % 2.23/2.48 (step @p440 :rule nary_cong :premises (@p409 @p439) :args ((or @t373 (not @t369)))) % 2.23/2.48 (step @p441 :rule cnf_or_neg :args (@t373 2)) % 2.23/2.48 (step @p442 :rule eq_resolve :premises (@p441 @p440)) % 2.23/2.48 (step @p443 :rule reordering :premises (@p442) :args ((or @t368 @t373))) % 2.23/2.48 (step @p444 :rule chain_m_resolution :premises (@p443 @p407) :args (@t368 @t382 @t383)) % 2.23/2.48 (step @p445 :rule cnf_or_pos :args (@t395)) % 2.23/2.48 (step @p446 :rule reordering :premises (@p445) :args ((or @t369 @t367 @t358 (not @t395)))) % 2.23/2.48 (step @p447 :rule chain_m_resolution :premises (@p446 @p444 @p414 @p438) :args (@t358 (@list false false false) (@list @t368 @t366 @t395))) % 2.23/2.48 (step @p448 :rule cnf_or_neg :args (@t373 5)) % 2.23/2.48 (step @p449 :rule chain_m_resolution :premises (@p448 @p407) :args ((not @t361) @t382 @t383)) % 2.23/2.48 (step @p450 :rule bool-double-not-elim :args (@t360)) % 2.23/2.48 (step @p451 :rule nary_cong :premises (@p409 @p450) :args ((or @t373 (not @t372)))) % 2.23/2.48 (step @p452 :rule cnf_or_neg :args (@t373 0)) % 2.23/2.48 (step @p453 :rule eq_resolve :premises (@p452 @p451)) % 2.23/2.48 (step @p454 :rule reordering :premises (@p453) :args ((or @t360 @t373))) % 2.23/2.48 (step @p455 :rule chain_m_resolution :premises (@p454 @p407) :args (@t360 @t382 @t383)) % 2.23/2.48 (step @p456 :rule cnf_and_neg :args (@t361)) % 2.23/2.48 (step @p457 :rule reordering :premises (@p456) :args ((or @t372 @t361 @t397 @t396))) % 2.23/2.48 (step @p458 :rule chain_m_resolution :premises (@p457 @p455 @p449 @p447) :args (@t397 (@list false true false) (@list @t360 @t361 @t358))) % 2.23/2.48 (step @p459 :rule bool-double-not-elim :args (@t370)) % 2.23/2.48 (step @p460 :rule nary_cong :premises (@p409 @p459) :args ((or @t373 (not @t371)))) % 2.23/2.48 (step @p461 :rule cnf_or_neg :args (@t373 1)) % 2.23/2.48 (step @p462 :rule eq_resolve :premises (@p461 @p460)) % 2.23/2.48 (step @p463 :rule reordering :premises (@p462) :args ((or @t370 @t373))) % 2.23/2.48 (step @p464 :rule chain_m_resolution :premises (@p463 @p407) :args (@t370 @t382 @t383)) % 2.23/2.48 (step @p465 :rule refl :args (@t399)) % 2.23/2.48 (step @p466 :rule bool-double-not-elim :args (@t359)) % 2.23/2.48 (step @p467 :rule nary_cong :premises (@p394 @p466 @p465) :args ((or @t371 (not @t397) @t399))) % 2.23/2.48 (assume-push @p679 @t397) % 2.23/2.48 (assume-push @p680 @t398) % 2.23/2.48 (assume-push @p681 @t370) % 2.23/2.48 (step @p471 :rule evaluate :args ((= true false))) % 2.23/2.48 (step @p472 :rule false_intro :premises (@p458)) % 2.23/2.48 (step @p473 :rule refl :args (@t356)) % 2.23/2.48 (step @p474 :rule refl :args (@t357)) % 2.23/2.48 (step @p475 :rule cong :premises (@p474 @p473 @p680) :args (@t370)) % 2.23/2.48 (step @p476 :rule true_intro :premises (@p464)) % 2.23/2.48 (step @p477 :rule symm :premises (@p476)) % 2.23/2.48 (step @p478 :rule trans :premises (@p477 @p475 @p472)) % 2.23/2.48 (step @p479 false :rule eq_resolve :premises (@p478 @p471)) % 2.23/2.48 (step-pop @p682 :rule scope :premises (@p479)) % 2.23/2.48 (step-pop @p683 :rule scope :premises (@p682)) % 2.23/2.48 (step-pop @p684 :rule scope :premises (@p683)) % 2.23/2.48 (step @p480 :rule process_scope :premises (@p684) :args (false)) % 2.23/2.48 (assume-push @p685 @t370) % 2.23/2.48 (assume-push @p686 @t397) % 2.23/2.48 (assume-push @p687 @t398) % 2.23/2.48 (step @p487 :rule and_intro :premises (@p458 @p687 @p464)) % 2.23/2.48 (step-pop @p688 :rule scope :premises (@p487)) % 2.23/2.48 (step-pop @p689 :rule scope :premises (@p688)) % 2.23/2.48 (step-pop @p690 :rule scope :premises (@p689)) % 2.23/2.48 (step @p488 :rule process_scope :premises (@p690) :args (@t400)) % 2.23/2.48 (step @p492 :rule implies_elim :premises (@p488)) % 2.23/2.48 (step @p493 :rule resolution :premises (@p492 @p480) :args (true @t400)) % 2.23/2.48 (step @p494 :rule not_and :premises (@p493)) % 2.23/2.48 (step @p495 :rule eq_resolve :premises (@p494 @p467)) % 2.23/2.48 (step @p496 :rule chain_m_resolution :premises (@p495 @p464 @p458) :args (@t399 (@list false true) (@list @t370 @t359))) % 2.23/2.48 (step @p497 :rule eq-symm :args (@t324 @t29)) % 2.23/2.48 (step @p498 :rule cong :premises (@p497) :args (@t325)) % 2.23/2.48 (step @p499 :rule eq_resolve :premises (@p302 @p498)) % 2.23/2.48 (step @p500 :rule instantiate :premises (@p499) :args (@t353)) % 2.23/2.48 (step @p501 :rule aci_norm :args ((= (or @t112 @t81) @t401))) % 2.23/2.48 (step @p502 :rule bool-impl-elim :args (@t82 @t81)) % 2.23/2.48 (step @p503 :rule trans :premises (@p502 @p501)) % 2.23/2.48 (step @p504 :rule refl :args (@t84)) % 2.23/2.48 (step @p505 :rule bool-implies-de-morgan :args (@t82 @t80)) % 2.23/2.48 (step @p506 :rule nary_cong :premises (@p505 @p504) :args ((or (not @t85) @t84))) % 2.23/2.48 (step @p507 :rule bool-impl-elim :args (@t85 @t84)) % 2.23/2.48 (step @p508 :rule trans :premises (@p507 @p506)) % 2.23/2.48 (step @p509 :rule nary_cong :premises (@p508 @p503) :args (@t86)) % 2.23/2.48 (step @p510 :rule refl :args (@t402)) % 2.23/2.48 (step @p511 :rule nary_cong :premises (@p510 @p509) :args ((or @t402 @t86))) % 2.23/2.48 (step @p512 :rule bool-impl-elim :args (@t87 @t86)) % 2.23/2.48 (step @p513 :rule trans :premises (@p512 @p511)) % 2.23/2.48 (step @p514 :rule cong :premises (@p513) :args (@t88)) % 2.23/2.48 (step @p515 :rule eq_resolve :premises (@p27 @p514)) % 2.23/2.48 (step @p516 :rule eq-symm :args (@t357 tptp.empty_set)) % 2.23/2.48 (step @p517 :rule refl :args (@t359)) % 2.23/2.48 (step @p518 :rule cong :premises (@p517 @p516) :args (@t404)) % 2.23/2.48 (step @p519 :rule eq-symm :args (@t351 tptp.empty_set)) % 2.23/2.48 (step @p520 :rule cong :premises (@p519) :args (@t406)) % 2.23/2.48 (step @p521 :rule nary_cong :premises (@p520 @p388 @p518) :args (@t407)) % 2.23/2.48 (step @p522 :rule refl :args (@t409)) % 2.23/2.48 (step @p523 :rule nary_cong :premises (@p519 @p389) :args (@t410)) % 2.23/2.48 (step @p524 :rule nary_cong :premises (@p523 @p522) :args (@t411)) % 2.23/2.48 (step @p525 :rule nary_cong :premises (@p524 @p521) :args (@t412)) % 2.23/2.48 (step @p526 :rule refl :args (@t396)) % 2.23/2.48 (step @p527 :rule nary_cong :premises (@p526 @p525) :args (@t413)) % 2.23/2.48 (step @p528 :rule refl :args (@t414)) % 2.23/2.48 (step @p529 :rule cong :premises (@p528 @p527) :args ((=> @t414 @t413))) % 2.23/2.48 (assume-push @p691 @t414) % 2.23/2.48 (step @p531 :rule instantiate :premises (@p515) :args ((@list @t356 @t351 @t357))) % 2.23/2.48 (step-pop @p692 :rule scope :premises (@p531)) % 2.23/2.48 (step @p532 :rule process_scope :premises (@p692) :args (@t413)) % 2.23/2.48 (step @p534 :rule eq_resolve :premises (@p532 @p529)) % 2.23/2.48 (step @p535 :rule implies_elim :premises (@p534)) % 2.23/2.48 (step @p536 :rule chain_m_resolution :premises (@p535 @p515) :args (@t421 @t422 @t423)) % 2.23/2.48 (step @p537 :rule cnf_or_pos :args (@t421)) % 2.23/2.48 (step @p538 :rule reordering :premises (@p537) :args ((or @t396 @t420 (not @t421)))) % 2.23/2.48 (step @p539 :rule chain_m_resolution :premises (@p538 @p447 @p536) :args (@t420 @t387 (@list @t358 @t421))) % 2.23/2.48 (step @p540 :rule cnf_and_pos :args (@t420 0)) % 2.23/2.48 (step @p541 :rule reordering :premises (@p540) :args ((or @t419 (not @t420)))) % 2.23/2.48 (step @p542 :rule chain_m_resolution :premises (@p541 @p539) :args (@t419 @t422 (@list @t420))) % 2.23/2.48 (step @p543 :rule bool-impl-elim :args (@t304 @t424)) % 2.23/2.48 (step @p544 :rule cong :premises (@p543) :args ((forall @t21 (=> @t304 @t424)))) % 2.23/2.48 (step @p545 :rule eq-symm :args (@t300 @t2)) % 2.23/2.48 (step @p546 :rule bool-and-de-morgan :args (@t48 @t301 true)) % 2.23/2.48 (step @p547 :rule cong :premises (@p546) :args (@t302)) % 2.23/2.48 (step @p548 :rule cong :premises (@p547 @p545) :args (@t303)) % 2.23/2.48 (step @p549 :rule refl :args (@t304)) % 2.23/2.48 (step @p550 :rule cong :premises (@p549 @p548) :args (@t305)) % 2.23/2.48 (step @p551 :rule cong :premises (@p550) :args (@t306)) % 2.23/2.48 (step @p552 :rule trans :premises (@p551 @p544)) % 2.23/2.48 (step @p553 :rule eq_resolve :premises (@p249 @p552)) % 2.23/2.48 (step @p554 :rule instantiate :premises (@p553) :args ((@list @t351 @t356 @t357))) % 2.23/2.48 (step @p555 :rule cnf_or_pos :args (@t427)) % 2.23/2.48 (step @p556 :rule reordering :premises (@p555) :args ((or @t396 @t426 (not @t427)))) % 2.23/2.48 (step @p557 :rule chain_m_resolution :premises (@p556 @p447 @p554) :args (@t426 @t387 (@list @t358 @t427))) % 2.23/2.48 (step @p558 :rule eq-symm :args (@t425 @t428)) % 2.23/2.48 (step @p559 :rule nary_cong :premises (@p393 @p558) :args (@t429)) % 2.23/2.48 (step @p560 :rule refl :args (@t430)) % 2.23/2.48 (step @p561 :rule cong :premises (@p560 @p559) :args ((=> @t430 @t429))) % 2.23/2.48 (assume-push @p693 @t430) % 2.23/2.48 (step @p563 :rule instantiate :premises (@p553) :args ((@list @t352 @t356 @t357))) % 2.23/2.48 (step-pop @p694 :rule scope :premises (@p563)) % 2.23/2.48 (step @p564 :rule process_scope :premises (@p694) :args (@t429)) % 2.23/2.48 (step @p566 :rule eq_resolve :premises (@p564 @p561)) % 2.23/2.48 (step @p567 :rule implies_elim :premises (@p566)) % 2.23/2.48 (step @p568 :rule chain_m_resolution :premises (@p567 @p553) :args (@t432 @t422 (@list @t430))) % 2.23/2.48 (step @p569 :rule cnf_or_pos :args (@t432)) % 2.23/2.48 (step @p570 :rule reordering :premises (@p569) :args ((or @t369 @t431 (not @t432)))) % 2.23/2.48 (step @p571 :rule chain_m_resolution :premises (@p570 @p444 @p568) :args (@t431 @t387 (@list @t368 @t432))) % 2.23/2.48 (step @p572 :rule refl :args (@t370)) % 2.23/2.48 (step @p573 :rule cong :premises (@p572 @p516) :args (@t433)) % 2.23/2.48 (step @p574 :rule cong :premises (@p390) :args (@t434)) % 2.23/2.48 (step @p575 :rule nary_cong :premises (@p574 @p388 @p573) :args (@t435)) % 2.23/2.48 (step @p576 :rule refl :args (@t436)) % 2.23/2.48 (step @p577 :rule nary_cong :premises (@p391 @p576) :args (@t437)) % 2.23/2.48 (step @p578 :rule nary_cong :premises (@p577 @p575) :args (@t438)) % 2.23/2.48 (step @p579 :rule nary_cong :premises (@p393 @p578) :args (@t439)) % 2.23/2.48 (step @p580 :rule cong :premises (@p528 @p579) :args ((=> @t414 @t439))) % 2.23/2.48 (assume-push @p695 @t414) % 2.23/2.48 (step @p582 :rule instantiate :premises (@p515) :args ((@list @t356 @t352 @t357))) % 2.23/2.48 (step-pop @p696 :rule scope :premises (@p582)) % 2.23/2.48 (step @p583 :rule process_scope :premises (@p696) :args (@t439)) % 2.23/2.48 (step @p585 :rule eq_resolve :premises (@p583 @p580)) % 2.23/2.48 (step @p586 :rule implies_elim :premises (@p585)) % 2.23/2.48 (step @p587 :rule chain_m_resolution :premises (@p586 @p515) :args (@t442 @t422 @t423)) % 2.23/2.48 (step @p588 :rule cnf_or_pos :args (@t442)) % 2.23/2.48 (step @p589 :rule reordering :premises (@p588) :args ((or @t369 @t441 (not @t442)))) % 2.23/2.48 (step @p590 :rule chain_m_resolution :premises (@p589 @p444 @p587) :args (@t441 @t387 (@list @t368 @t442))) % 2.23/2.48 (step @p591 :rule cnf_and_pos :args (@t441 0)) % 2.23/2.48 (step @p592 :rule reordering :premises (@p591) :args ((or @t440 (not @t441)))) % 2.23/2.48 (step @p593 :rule chain_m_resolution :premises (@p592 @p590) :args (@t440 @t422 (@list @t441))) % 2.23/2.48 (step @p594 :rule cnf_or_neg :args (@t373 4)) % 2.23/2.48 (step @p595 :rule chain_m_resolution :premises (@p594 @p407) :args ((not @t365) @t382 @t383)) % 2.23/2.48 (step @p596 :rule cnf_or_pos :args (@t440)) % 2.23/2.48 (step @p597 :rule reordering :premises (@p596) :args ((or @t365 @t436 (not @t440)))) % 2.23/2.48 (step @p598 :rule chain_m_resolution :premises (@p597 @p595 @p593) :args (@t436 @t443 (@list @t365 @t440))) % 2.23/2.48 (step @p599 :rule cnf_equiv_pos1 :args (@t436)) % 2.23/2.48 (step @p600 :rule reordering :premises (@p599) :args ((or @t371 @t428 (not @t436)))) % 2.23/2.48 (step @p601 :rule chain_m_resolution :premises (@p600 @p464 @p598) :args (@t428 @t387 (@list @t370 @t436))) % 2.23/2.48 (step @p602 :rule cnf_equiv_pos1 :args (@t431)) % 2.23/2.48 (step @p603 :rule reordering :premises (@p602) :args ((or @t425 (not @t428) (not @t431)))) % 2.23/2.48 (step @p604 :rule chain_m_resolution :premises (@p603 @p601 @p571) :args (@t425 @t387 (@list @t428 @t431))) % 2.23/2.48 (step @p605 :rule cnf_equiv_pos1 :args (@t426)) % 2.23/2.48 (step @p606 :rule reordering :premises (@p605) :args ((or (not @t425) @t408 (not @t426)))) % 2.23/2.48 (step @p607 :rule chain_m_resolution :premises (@p606 @p604 @p557) :args (@t408 @t387 (@list @t425 @t426))) % 2.23/2.48 (step @p608 :rule cnf_equiv_pos2 :args (@t409)) % 2.23/2.48 (step @p609 :rule reordering :premises (@p608) :args ((or @t359 (not @t408) @t444))) % 2.23/2.48 (step @p610 :rule chain_m_resolution :premises (@p609 @p458 @p607) :args (@t444 @t443 (@list @t359 @t408))) % 2.23/2.48 (step @p611 :rule cnf_or_pos :args (@t419)) % 2.23/2.48 (step @p612 :rule reordering :premises (@p611) :args ((or @t409 @t418 (not @t419)))) % 2.23/2.48 (step @p613 :rule chain_m_resolution :premises (@p612 @p610 @p542) :args (@t418 @t443 (@list @t409 @t419))) % 2.23/2.48 (step @p614 :rule cnf_and_pos :args (@t418 0)) % 2.23/2.48 (step @p615 :rule reordering :premises (@p614) :args ((or @t416 (not @t418)))) % 2.23/2.48 (step @p616 :rule chain_m_resolution :premises (@p615 @p613) :args (@t416 @t422 (@list @t418))) % 2.23/2.48 (step @p617 :rule refl :args (@t446)) % 2.23/2.48 (step @p618 :rule refl :args (@t417)) % 2.23/2.48 (step @p619 :rule refl :args (@t447)) % 2.23/2.48 (step @p620 :rule refl :args (@t448)) % 2.23/2.48 (step @p621 :rule bool-double-not-elim :args (@t398)) % 2.23/2.48 (step @p622 :rule refl :args (@t450)) % 2.23/2.48 (step @p623 :rule nary_cong :premises (@p622 @p621 @p620 @p619 @p618 @p617) :args ((or @t450 (not @t399) @t448 @t447 @t417 @t446))) % 2.23/2.48 (assume-push @p697 @t449) % 2.23/2.48 (assume-push @p698 @t451) % 2.23/2.48 (assume-push @p699 @t391) % 2.23/2.48 (assume-push @p700 @t385) % 2.23/2.48 (assume-push @p701 @t416) % 2.23/2.48 (assume-push @p702 @t399) % 2.23/2.48 (step @p630 :rule evaluate :args ((= false true))) % 2.23/2.48 (step @p631 :rule symm :premises (@p616)) % 2.23/2.48 (step @p632 :rule trans :premises (@p631 @p417)) % 2.23/2.48 (step @p633 :rule symm :premises (@p632)) % 2.23/2.48 (step @p634 :rule symm :premises (@p417)) % 2.23/2.48 (step @p635 :rule trans :premises (@p634 @p357)) % 2.23/2.48 (step @p636 :rule symm :premises (@p635)) % 2.23/2.48 (step @p637 :rule symm :premises (@p500)) % 2.23/2.48 (step @p638 :rule refl :args (@t352)) % 2.23/2.49 (step @p639 :rule cong :premises (@p638 @p632) :args (@t384)) % 2.23/2.49 (step @p640 :rule chain_m_resolution :premises (@p416 @p414 @p365) :args (@t385 @t387 @t388)) % 2.23/2.49 (step @p641 :rule trans :premises (@p640 @p639 @p637)) % 2.23/2.49 (step @p642 :rule symm :premises (@p641)) % 2.23/2.49 (step @p643 :rule trans :premises (@p428 @p642)) % 2.23/2.49 (step @p644 :rule trans :premises (@p643 @p357 @p636 @p633)) % 2.23/2.49 (step @p645 :rule true_intro :premises (@p644)) % 2.23/2.49 (step @p646 :rule false_intro :premises (@p702)) % 2.23/2.49 (step @p647 :rule symm :premises (@p646)) % 2.23/2.49 (step @p648 :rule trans :premises (@p647 @p645)) % 2.23/2.49 (step @p649 false :rule eq_resolve :premises (@p648 @p630)) % 2.23/2.49 (step-pop @p703 :rule scope :premises (@p649)) % 2.23/2.49 (step-pop @p704 :rule scope :premises (@p703)) % 2.23/2.49 (step-pop @p705 :rule scope :premises (@p704)) % 2.23/2.49 (step-pop @p706 :rule scope :premises (@p705)) % 2.23/2.49 (step-pop @p707 :rule scope :premises (@p706)) % 2.23/2.49 (step-pop @p708 :rule scope :premises (@p707)) % 2.23/2.49 (step @p650 :rule process_scope :premises (@p708) :args (false)) % 2.23/2.49 (assume-push @p709 @t449) % 2.23/2.49 (assume-push @p710 @t399) % 2.23/2.49 (assume-push @p711 @t385) % 2.23/2.49 (assume-push @p712 @t391) % 2.23/2.49 (assume-push @p713 @t416) % 2.23/2.49 (assume-push @p714 @t445) % 2.23/2.49 (step @p637 :rule symm :premises (@p500)) % 2.23/2.49 (step @p631 :rule symm :premises (@p616)) % 2.23/2.49 (step @p632 :rule trans :premises (@p631 @p417)) % 2.23/2.49 (step @p638 :rule refl :args (@t352)) % 2.23/2.49 (step @p639 :rule cong :premises (@p638 @p632) :args (@t384)) % 2.23/2.49 (step @p663 :rule trans :premises (@p417 @p639 @p637)) % 2.23/2.49 (step @p664 :rule and_intro :premises (@p357 @p663 @p428 @p417 @p616 @p710)) % 2.23/2.49 (step-pop @p715 :rule scope :premises (@p664)) % 2.23/2.49 (step-pop @p716 :rule scope :premises (@p715)) % 2.23/2.49 (step-pop @p717 :rule scope :premises (@p716)) % 2.23/2.49 (step-pop @p718 :rule scope :premises (@p717)) % 2.23/2.49 (step-pop @p719 :rule scope :premises (@p718)) % 2.23/2.49 (step-pop @p720 :rule scope :premises (@p719)) % 2.23/2.49 (step @p665 :rule process_scope :premises (@p720) :args (@t452)) % 2.23/2.49 (step @p672 :rule implies_elim :premises (@p665)) % 2.23/2.49 (step @p673 :rule resolution :premises (@p672 @p650) :args (true @t452)) % 2.23/2.49 (step @p674 :rule not_and :premises (@p673)) % 2.23/2.49 (step @p675 :rule eq_resolve :premises (@p674 @p623)) % 2.23/2.49 (step @p676 false :rule chain_m_resolution :premises (@p675 @p616 @p500 @p496 @p428 @p417 @p357) :args (false (@list false false true false false false) (@list @t416 @t445 @t398 @t391 @t385 @t449))) % 2.23/2.49 ) % 2.23/2.49 % SZS output end Proof % 2.23/2.49 % cvc5 exiting %------------------------------------------------------------------------------