%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU272+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 : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:12 AM UTC 2026 % Result : Theorem 0.42s 0.77s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU272+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:49:52 EDT 2026 % 0.17/0.34 % CPUTime : % 0.41/0.57 %----Proving TF0_NAR, FOF, or CNF % 0.42/0.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.42/0.77 % SZS status Theorem % 0.42/0.77 % SZS output start Proof % 0.42/0.77 ( % 0.42/0.77 (declare-sort $$unsorted 0) % 0.42/0.77 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.empty_set $$unsorted) % 0.42/0.77 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.function (-> $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.42/0.77 (define @t1 () (@var "A" $$unsorted)) % 0.42/0.77 (define @t2 () (@var "B" $$unsorted)) % 0.42/0.77 (define @t3 () (tptp.in @t2 @t1)) % 0.42/0.77 (define @t4 () (not @t3)) % 0.42/0.77 (define @t5 () (tptp.in @t1 @t2)) % 0.42/0.77 (define @t6 () (@list @t1 @t2)) % 0.42/0.77 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.42/0.77 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.42/0.77 (define @t9 () (tptp.function @t1)) % 0.42/0.77 (define @t10 () (tptp.empty @t1)) % 0.42/0.77 (define @t11 () (@list @t1)) % 0.42/0.77 (define @t12 () (tptp.epsilon_connected @t1)) % 0.42/0.77 (define @t13 () (tptp.epsilon_transitive @t1)) % 0.42/0.77 (define @t14 () (and @t13 @t12)) % 0.42/0.77 (define @t15 () (tptp.ordinal @t1)) % 0.42/0.77 (define @t16 () (tptp.relation @t1)) % 0.42/0.77 (define @t17 () (@var "C" $$unsorted)) % 0.42/0.77 (define @t18 () (tptp.relation @t17)) % 0.42/0.77 (define @t19 () (tptp.cartesian_product2 @t1 @t2)) % 0.42/0.77 (define @t20 () (tptp.element @t17 (tptp.powerset @t19))) % 0.42/0.77 (define @t21 () (@list @t1 @t2 @t17)) % 0.42/0.77 (define @t22 () (tptp.one_to_one @t1)) % 0.42/0.77 (define @t23 () (and @t16 @t9 @t22)) % 0.42/0.77 (define @t24 () (and @t16 @t10 @t9)) % 0.42/0.77 (define @t25 () (and @t13 @t12 @t15)) % 0.42/0.77 (define @t26 () (tptp.unordered_pair @t1 @t2)) % 0.42/0.77 (define @t27 () (tptp.set_union2 @t2 @t1)) % 0.42/0.77 (define @t28 () (tptp.set_union2 @t1 @t2)) % 0.42/0.77 (define @t29 () (tptp.set_intersection2 @t1 @t2)) % 0.42/0.77 (define @t30 () (tptp.ordinal_subset @t1 @t2)) % 0.42/0.77 (define @t31 () (tptp.ordinal @t2)) % 0.42/0.77 (define @t32 () (and @t15 @t31)) % 0.42/0.77 (define @t33 () (@var "D" $$unsorted)) % 0.42/0.77 (define @t34 () (= @t17 @t33)) % 0.42/0.77 (define @t35 () (tptp.in @t17 @t1)) % 0.42/0.77 (define @t36 () (tptp.ordered_pair @t17 @t33)) % 0.42/0.77 (define @t37 () (tptp.in @t36 @t2)) % 0.42/0.77 (define @t38 () (@list @t17 @t33)) % 0.42/0.77 (define @t39 () (tptp.identity_relation @t1)) % 0.42/0.77 (define @t40 () (= @t2 @t39)) % 0.42/0.77 (define @t41 () (tptp.relation @t2)) % 0.42/0.77 (define @t42 () (tptp.subset @t2 @t1)) % 0.42/0.77 (define @t43 () (tptp.subset @t1 @t2)) % 0.42/0.77 (define @t44 () (= @t1 @t2)) % 0.42/0.77 (define @t45 () (@var "E" $$unsorted)) % 0.42/0.77 (define @t46 () (tptp.ordered_pair @t33 @t45)) % 0.42/0.77 (define @t47 () (tptp.in @t46 @t1)) % 0.42/0.77 (define @t48 () (tptp.in @t33 @t2)) % 0.42/0.77 (define @t49 () (tptp.in @t46 @t17)) % 0.42/0.77 (define @t50 () (@list @t33 @t45)) % 0.42/0.77 (define @t51 () (tptp.relation_dom_restriction @t1 @t2)) % 0.42/0.77 (define @t52 () (@list @t2 @t17)) % 0.42/0.77 (define @t53 () (tptp.in @t45 @t2)) % 0.42/0.77 (define @t54 () (tptp.relation_dom @t1)) % 0.42/0.77 (define @t55 () (@list @t45)) % 0.42/0.77 (define @t56 () (tptp.in @t33 @t17)) % 0.42/0.77 (define @t57 () (@list @t33)) % 0.42/0.77 (define @t58 () (= @t17 (tptp.relation_image @t1 @t2))) % 0.42/0.77 (define @t59 () (and @t16 @t9)) % 0.42/0.77 (define @t60 () (tptp.in @t45 @t1)) % 0.42/0.77 (define @t61 () (tptp.relation_rng_restriction @t1 @t2)) % 0.42/0.77 (define @t62 () (@list @t17)) % 0.42/0.77 (define @t63 () (tptp.relation_field @t1)) % 0.42/0.77 (define @t64 () (tptp.antisymmetric @t1)) % 0.42/0.77 (define @t65 () (tptp.apply @t1 @t33)) % 0.42/0.77 (define @t66 () (tptp.in @t33 @t54)) % 0.42/0.77 (define @t67 () (= @t17 (tptp.relation_inverse_image @t1 @t2))) % 0.42/0.77 (define @t68 () (tptp.ordered_pair @t45 @t33)) % 0.42/0.77 (define @t69 () (tptp.connected @t1)) % 0.42/0.77 (define @t70 () (tptp.transitive @t1)) % 0.42/0.77 (define @t71 () (tptp.in @t45 @t33)) % 0.42/0.77 (define @t72 () (@list @t1 @t2 @t17 @t33)) % 0.42/0.77 (define @t73 () (= @t2 @t17)) % 0.42/0.77 (define @t74 () (= @t1 @t36)) % 0.42/0.77 (define @t75 () (@list @t2)) % 0.42/0.77 (define @t76 () (tptp.ordered_pair @t2 @t17)) % 0.42/0.77 (define @t77 () (exists @t52 (= @t1 @t76))) % 0.42/0.77 (define @t78 () (tptp.singleton @t1)) % 0.42/0.77 (define @t79 () (tptp.succ @t1)) % 0.42/0.77 (define @t80 () (tptp.in @t17 @t2)) % 0.42/0.77 (define @t81 () (tptp.is_reflexive_in @t1 @t2)) % 0.42/0.77 (define @t82 () (tptp.relation_of2 @t17 @t1 @t2)) % 0.42/0.77 (define @t83 () (= @t2 tptp.empty_set)) % 0.42/0.77 (define @t84 () (= @t2 (tptp.set_meet @t1))) % 0.42/0.77 (define @t85 () (= @t1 tptp.empty_set)) % 0.42/0.77 (define @t86 () (tptp.in @t17 @t33)) % 0.42/0.77 (define @t87 () (tptp.in @t33 @t1)) % 0.42/0.77 (define @t88 () (not @t85)) % 0.42/0.77 (define @t89 () (= @t33 @t2)) % 0.42/0.77 (define @t90 () (tptp.subset @t17 @t33)) % 0.42/0.77 (define @t91 () (tptp.relation_field @t2)) % 0.42/0.77 (define @t92 () (tptp.inclusion_relation @t1)) % 0.42/0.77 (define @t93 () (tptp.powerset @t1)) % 0.42/0.77 (define @t94 () (= @t2 @t33)) % 0.42/0.77 (define @t95 () (tptp.in @t36 @t1)) % 0.42/0.77 (define @t96 () (tptp.empty @t2)) % 0.42/0.77 (define @t97 () (tptp.element @t2 @t1)) % 0.42/0.77 (define @t98 () (not @t10)) % 0.42/0.77 (define @t99 () (not @t83)) % 0.42/0.77 (define @t100 () (tptp.well_founded_relation @t1)) % 0.42/0.77 (define @t101 () (@var "F" $$unsorted)) % 0.42/0.77 (define @t102 () (not @t80)) % 0.42/0.77 (define @t103 () (not @t73)) % 0.42/0.77 (define @t104 () (tptp.in @t2 @t17)) % 0.42/0.77 (define @t105 () (forall @t62 (=> @t35 @t80))) % 0.42/0.77 (define @t106 () (= @t17 tptp.empty_set)) % 0.42/0.77 (define @t107 () (tptp.subset @t17 @t2)) % 0.42/0.77 (define @t108 () (tptp.is_well_founded_in @t1 @t2)) % 0.42/0.77 (define @t109 () (tptp.apply @t1 @t2)) % 0.42/0.77 (define @t110 () (= @t17 @t109)) % 0.42/0.77 (define @t111 () (tptp.in @t2 @t54)) % 0.42/0.77 (define @t112 () (tptp.in @t76 @t1)) % 0.42/0.77 (define @t113 () (tptp.in (tptp.ordered_pair @t33 @t17) @t1)) % 0.42/0.77 (define @t114 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.42/0.77 (define @t115 () (tptp.cast_to_subset @t1)) % 0.42/0.77 (define @t116 () (tptp.union @t1)) % 0.42/0.77 (define @t117 () (tptp.reflexive @t1)) % 0.42/0.77 (define @t118 () (tptp.well_ordering @t1)) % 0.42/0.77 (define @t119 () (tptp.set_difference @t1 @t2)) % 0.42/0.77 (define @t120 () (and @t66 (= @t17 @t65))) % 0.42/0.77 (define @t121 () (tptp.relation_rng @t1)) % 0.42/0.77 (define @t122 () (= @t2 @t121)) % 0.42/0.77 (define @t123 () (tptp.subset_complement @t1 @t2)) % 0.42/0.77 (define @t124 () (tptp.element @t2 @t93)) % 0.42/0.77 (define @t125 () (tptp.ordered_pair @t1 @t2)) % 0.42/0.77 (define @t126 () (tptp.is_connected_in @t1 @t2)) % 0.42/0.77 (define @t127 () (tptp.is_transitive_in @t1 @t2)) % 0.42/0.77 (define @t128 () (tptp.being_limit_ordinal @t1)) % 0.42/0.77 (define @t129 () (not @t34)) % 0.42/0.77 (define @t130 () (tptp.cartesian_product2 @t2 @t2)) % 0.42/0.77 (define @t131 () (tptp.relation_restriction @t1 @t2)) % 0.42/0.77 (define @t132 () (tptp.relation_inverse @t1)) % 0.42/0.77 (define @t133 () (tptp.apply @t17 @t33)) % 0.42/0.77 (define @t134 () (tptp.relation_rng @t17)) % 0.42/0.77 (define @t135 () (tptp.relation_dom @t17)) % 0.42/0.77 (define @t136 () (tptp.relation_isomorphism @t1 @t2 @t17)) % 0.42/0.77 (define @t137 () (and @t18 (tptp.function @t17))) % 0.42/0.77 (define @t138 () (tptp.disjoint @t1 @t2)) % 0.42/0.77 (define @t139 () (@list @t101)) % 0.42/0.77 (define @t140 () (tptp.relation_composition @t1 @t2)) % 0.42/0.77 (define @t141 () (@list @t17 @t33 @t45)) % 0.42/0.77 (define @t142 () (tptp.complements_of_subsets @t1 @t2)) % 0.42/0.77 (define @t143 () (tptp.powerset @t93)) % 0.42/0.77 (define @t144 () (tptp.element @t2 @t143)) % 0.42/0.77 (define @t145 () (not @t44)) % 0.42/0.77 (define @t146 () (tptp.function_inverse @t1)) % 0.42/0.77 (define @t147 () (tptp.relation @t132)) % 0.42/0.77 (define @t148 () (tptp.relation_dom_as_subset @t1 @t2 @t17)) % 0.42/0.77 (define @t149 () (tptp.relation @t140)) % 0.42/0.77 (define @t150 () (and @t16 @t41)) % 0.42/0.77 (define @t151 () (tptp.powerset @t2)) % 0.42/0.77 (define @t152 () (tptp.relation_rng_as_subset @t1 @t2 @t17)) % 0.42/0.77 (define @t153 () (tptp.union_of_subsets @t1 @t2)) % 0.42/0.77 (define @t154 () (tptp.relation @t39)) % 0.42/0.77 (define @t155 () (tptp.meet_of_subsets @t1 @t2)) % 0.42/0.77 (define @t156 () (tptp.subset_difference @t1 @t2 @t17)) % 0.42/0.77 (define @t157 () (tptp.element @t17 @t93)) % 0.42/0.77 (define @t158 () (and @t124 @t157)) % 0.42/0.77 (define @t159 () (tptp.relation @t51)) % 0.42/0.77 (define @t160 () (tptp.relation @t61)) % 0.42/0.77 (define @t161 () (tptp.relation_of2_as_subset @t17 @t1 @t2)) % 0.42/0.77 (define @t162 () (tptp.relation_composition @t2 @t1)) % 0.42/0.77 (define @t163 () (and @t10 @t41)) % 0.42/0.77 (define @t164 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.42/0.77 (define @t165 () (tptp.relation tptp.empty_set)) % 0.42/0.77 (define @t166 () (tptp.empty tptp.empty_set)) % 0.42/0.77 (define @t167 () (tptp.relation_empty_yielding @t1)) % 0.42/0.77 (define @t168 () (and @t16 @t167)) % 0.42/0.77 (define @t169 () (tptp.function @t2)) % 0.42/0.77 (define @t170 () (not (tptp.empty @t79))) % 0.42/0.77 (define @t171 () (not @t96)) % 0.42/0.77 (define @t172 () (and @t41 @t169)) % 0.42/0.77 (define @t173 () (tptp.empty @t54)) % 0.42/0.77 (define @t174 () (and @t98 @t16)) % 0.42/0.77 (define @t175 () (tptp.empty @t121)) % 0.42/0.77 (define @t176 () (tptp.in @t2 @t63)) % 0.42/0.77 (define @t177 () (tptp.disjoint @t78 @t2)) % 0.42/0.77 (define @t178 () (not @t5)) % 0.42/0.77 (define @t179 () (tptp.relation_dom @t2)) % 0.42/0.77 (define @t180 () (tptp.in (tptp.ordered_pair @t17 @t2) @t1)) % 0.42/0.77 (define @t181 () (not @t112)) % 0.42/0.77 (define @t182 () (tptp.singleton @t2)) % 0.42/0.77 (define @t183 () (tptp.union @t2)) % 0.42/0.77 (define @t184 () (tptp.in @t1 @t17)) % 0.42/0.77 (define @t185 () (tptp.element @t1 @t151)) % 0.42/0.77 (define @t186 () (tptp.relation_dom_restriction @t17 @t1)) % 0.42/0.77 (define @t187 () (tptp.in @t2 (tptp.relation_dom @t186))) % 0.42/0.77 (define @t188 () (tptp.set_difference @t2 @t17)) % 0.42/0.77 (define @t189 () (@var "H" $$unsorted)) % 0.42/0.77 (define @t190 () (tptp.in @t189 @t1)) % 0.42/0.77 (define @t191 () (= @t33 @t189)) % 0.42/0.77 (define @t192 () (tptp.ordinal @t189)) % 0.42/0.77 (define @t193 () (and @t192 @t191 @t190)) % 0.42/0.77 (define @t194 () (@list @t189)) % 0.42/0.77 (define @t195 () (exists @t194 @t193)) % 0.42/0.77 (define @t196 () (= @t45 @t33)) % 0.42/0.77 (define @t197 () (tptp.succ @t2)) % 0.42/0.77 (define @t198 () (tptp.in @t45 @t197)) % 0.42/0.77 (define @t199 () (and @t198 @t196 @t195)) % 0.42/0.77 (define @t200 () (exists @t55 @t199)) % 0.42/0.77 (define @t201 () (= @t56 @t200)) % 0.42/0.77 (define @t202 () (forall @t57 @t201)) % 0.42/0.77 (define @t203 () (exists @t62 @t202)) % 0.42/0.77 (define @t204 () (= @t33 @t45)) % 0.42/0.77 (define @t205 () (@var "G" $$unsorted)) % 0.42/0.77 (define @t206 () (tptp.in @t205 @t1)) % 0.42/0.77 (define @t207 () (= @t45 @t205)) % 0.42/0.77 (define @t208 () (tptp.ordinal @t205)) % 0.42/0.77 (define @t209 () (and @t208 @t207 @t206)) % 0.42/0.77 (define @t210 () (@list @t205)) % 0.42/0.77 (define @t211 () (exists @t210 @t209)) % 0.42/0.77 (define @t212 () (= @t17 @t45)) % 0.42/0.77 (define @t213 () (tptp.in @t101 @t1)) % 0.42/0.77 (define @t214 () (= @t33 @t101)) % 0.42/0.77 (define @t215 () (tptp.ordinal @t101)) % 0.42/0.77 (define @t216 () (and @t215 @t214 @t213)) % 0.42/0.77 (define @t217 () (exists @t139 @t216)) % 0.42/0.77 (define @t218 () (and @t34 @t217 @t212 @t211)) % 0.42/0.77 (define @t219 () (=> @t218 @t204)) % 0.42/0.77 (define @t220 () (forall @t141 @t219)) % 0.42/0.77 (define @t221 () (=> @t220 @t203)) % 0.42/0.77 (define @t222 () (=> @t31 @t221)) % 0.42/0.77 (define @t223 () (forall @t6 @t222)) % 0.42/0.77 (define @t224 () (tptp.ordinal @t45)) % 0.42/0.77 (define @t225 () (and @t224 @t204 @t60)) % 0.42/0.77 (define @t226 () (exists @t55 @t225)) % 0.42/0.77 (define @t227 () (tptp.in @t33 @t197)) % 0.42/0.77 (define @t228 () (and @t227 @t226)) % 0.42/0.77 (define @t229 () (= @t56 @t228)) % 0.42/0.77 (define @t230 () (forall @t57 @t229)) % 0.42/0.77 (define @t231 () (exists @t62 @t230)) % 0.42/0.77 (define @t232 () (=> @t31 @t231)) % 0.42/0.77 (define @t233 () (forall @t6 @t232)) % 0.42/0.77 (define @t234 () (not @t233)) % 0.42/0.77 (define @t235 () (= @t1 @t17)) % 0.42/0.77 (define @t236 () (tptp.relation_rng @t61)) % 0.42/0.77 (define @t237 () (tptp.relation_rng @t2)) % 0.42/0.77 (define @t238 () (tptp.cartesian_product2 @t1 @t17)) % 0.42/0.77 (define @t239 () (forall @t62 (not (and @t107 (not (tptp.are_equipotent @t17 @t2)) @t102)))) % 0.42/0.77 (define @t240 () (tptp.powerset @t17)) % 0.42/0.77 (define @t241 () (forall @t38 (=> (and @t80 (tptp.subset @t33 @t17)) @t48))) % 0.42/0.77 (define @t242 () (tptp.relation_dom_restriction @t17 @t2)) % 0.42/0.77 (define @t243 () (tptp.relation_image @t2 @t1)) % 0.42/0.77 (define @t244 () (tptp.relation_inverse_image @t2 @t1)) % 0.42/0.77 (define @t245 () (tptp.relation_image @t2 @t244)) % 0.42/0.77 (define @t246 () (tptp.set_intersection2 @t179 @t1)) % 0.42/0.77 (define @t247 () (tptp.subset @t1 @t237)) % 0.42/0.77 (define @t248 () (tptp.relation_of2_as_subset @t33 @t17 @t2)) % 0.42/0.77 (define @t249 () (tptp.relation_of2_as_subset @t33 @t17 @t1)) % 0.42/0.77 (define @t250 () (tptp.relation_rng @t140)) % 0.42/0.77 (define @t251 () (tptp.relation_inverse_image @t17 @t2)) % 0.42/0.77 (define @t252 () (tptp.relation_restriction @t17 @t2)) % 0.42/0.77 (define @t253 () (tptp.relation_restriction @t2 @t1)) % 0.42/0.77 (define @t254 () (tptp.relation_dom_restriction @t2 @t1)) % 0.42/0.77 (define @t255 () (tptp.relation_field @t17)) % 0.42/0.77 (define @t256 () (tptp.in @t1 @t255)) % 0.42/0.77 (define @t257 () (tptp.set_intersection2 @t2 @t17)) % 0.42/0.77 (define @t258 () (tptp.subset @t1 @t17)) % 0.42/0.77 (define @t259 () (tptp.element @t1 @t2)) % 0.42/0.77 (define @t260 () (tptp.in @t1 @t135)) % 0.42/0.77 (define @t261 () (tptp.in @t125 @t17)) % 0.42/0.77 (define @t262 () (tptp.relation_field @t253)) % 0.42/0.77 (define @t263 () (tptp.apply @t17 @t1)) % 0.42/0.77 (define @t264 () (tptp.relation_composition @t17 @t2)) % 0.42/0.77 (define @t265 () (tptp.in @t1 (tptp.relation_dom @t264))) % 0.42/0.77 (define @t266 () (tptp.reflexive @t2)) % 0.42/0.77 (define @t267 () (tptp.connected @t2)) % 0.42/0.77 (define @t268 () (tptp.transitive @t2)) % 0.42/0.77 (define @t269 () (tptp.antisymmetric @t2)) % 0.42/0.77 (define @t270 () (tptp.well_founded_relation @t2)) % 0.42/0.77 (define @t271 () (tptp.ordinal @t33)) % 0.42/0.77 (define @t272 () (tptp.well_ordering @t2)) % 0.42/0.77 (define @t273 () (tptp.apply @t2 @t17)) % 0.42/0.77 (define @t274 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.42/0.77 (define @t275 () (and @t35 @t80)) % 0.42/0.77 (define @t276 () (not @t138)) % 0.42/0.77 (define @t277 () (= @t1 @t197)) % 0.42/0.77 (define @t278 () (tptp.subset_complement @t1 @t17)) % 0.42/0.77 (define @t279 () (tptp.disjoint @t2 @t17)) % 0.42/0.77 (define @t280 () (tptp.relation_dom @t140)) % 0.42/0.77 (define @t281 () (tptp.element @t2 @t240)) % 0.42/0.77 (define @t282 () (tptp.in @t17 @t29)) % 0.42/0.77 (define @t283 () (and (tptp.in @t17 @t121) (= @t33 @t273))) % 0.42/0.77 (define @t284 () (tptp.function_inverse @t2)) % 0.42/0.77 (define @t285 () (= @t121 tptp.empty_set)) % 0.42/0.77 (define @t286 () (= @t54 tptp.empty_set)) % 0.42/0.77 (define @t287 () (= (tptp.apply @t186 @t2) (tptp.apply @t17 @t2))) % 0.42/0.77 (define @t288 () (= @t78 (tptp.unordered_pair @t2 @t17))) % 0.42/0.77 (define @t289 () (and @t271 @t87 @t227)) % 0.42/0.77 (define @t290 () (forall @t57 (= @t56 @t289))) % 0.42/0.77 (define @t291 () (not (forall @t62 (not @t290)))) % 0.42/0.77 (define @t292 () (not @t227)) % 0.42/0.77 (define @t293 () (not @t292)) % 0.42/0.77 (define @t294 () (not @t87)) % 0.42/0.77 (define @t295 () (not @t294)) % 0.42/0.77 (define @t296 () (not @t271)) % 0.42/0.77 (define @t297 () (not @t296)) % 0.42/0.77 (define @t298 () (and @t297 @t295 @t293)) % 0.42/0.77 (define @t299 () (= @t56 (not (or @t296 @t294 @t292)))) % 0.42/0.77 (define @t300 () (not (= @t33 @t33))) % 0.42/0.77 (define @t301 () (or @t292 @t300)) % 0.42/0.77 (define @t302 () (not @t204)) % 0.42/0.77 (define @t303 () (not @t198)) % 0.42/0.77 (define @t304 () (not @t196)) % 0.42/0.77 (define @t305 () (or @t302 @t303 @t302)) % 0.42/0.77 (define @t306 () (or @t303 @t302)) % 0.42/0.77 (define @t307 () (forall @t55 @t306)) % 0.42/0.77 (define @t308 () (or @t296 @t294 @t307)) % 0.42/0.77 (define @t309 () (or @t296 @t294 @t306)) % 0.42/0.77 (define @t310 () (or @t303 @t302 @t296 @t294)) % 0.42/0.77 (define @t311 () (or @t296 @t294)) % 0.42/0.77 (define @t312 () (not @t311)) % 0.42/0.77 (define @t313 () (not @t312)) % 0.42/0.77 (define @t314 () (or @t303 @t302 @t313)) % 0.42/0.77 (define @t315 () (and @t198 @t204 @t312)) % 0.42/0.77 (define @t316 () (forall @t55 (not @t315))) % 0.42/0.77 (define @t317 () (not @t316)) % 0.42/0.77 (define @t318 () (or @t296 @t300 @t294)) % 0.42/0.77 (define @t319 () (not @t190)) % 0.42/0.77 (define @t320 () (not @t191)) % 0.42/0.77 (define @t321 () (not @t192)) % 0.42/0.77 (define @t322 () (or @t320 @t321 @t320 @t319)) % 0.42/0.77 (define @t323 () (or @t321 @t320 @t319)) % 0.42/0.77 (define @t324 () (forall @t194 (not @t193))) % 0.42/0.77 (define @t325 () (not @t324)) % 0.42/0.77 (define @t326 () (not @t60)) % 0.42/0.77 (define @t327 () (not @t224)) % 0.42/0.77 (define @t328 () (or @t296 @t294 @t302 @t327 @t326 @t204)) % 0.42/0.77 (define @t329 () (or @t300 @t296 @t294 @t302 @t327 @t326 @t204)) % 0.42/0.77 (define @t330 () (not @t212)) % 0.42/0.77 (define @t331 () (or @t129 @t129 @t296 @t294 @t330 @t327 @t326 @t204)) % 0.42/0.77 (define @t332 () (or @t129 @t296 @t294 @t330 @t327 @t326 @t204)) % 0.42/0.77 (define @t333 () (forall @t62 @t332)) % 0.42/0.77 (define @t334 () (forall @t50 @t333)) % 0.42/0.77 (define @t335 () (forall (@list @t33 @t45 @t17) @t332)) % 0.42/0.77 (define @t336 () (or @t129 @t296 @t294 @t330 @t327 @t326)) % 0.42/0.77 (define @t337 () (or @t327 @t326)) % 0.42/0.77 (define @t338 () (not @t337)) % 0.42/0.77 (define @t339 () (not @t338)) % 0.42/0.77 (define @t340 () (or @t129 @t313 @t330 @t339)) % 0.42/0.77 (define @t341 () (and @t34 @t312 @t212 @t338)) % 0.42/0.77 (define @t342 () (not (= @t45 @t45))) % 0.42/0.77 (define @t343 () (or @t327 @t342 @t326)) % 0.42/0.77 (define @t344 () (not @t206)) % 0.42/0.77 (define @t345 () (not @t207)) % 0.42/0.77 (define @t346 () (not @t208)) % 0.42/0.77 (define @t347 () (or @t345 @t346 @t345 @t344)) % 0.42/0.77 (define @t348 () (or @t346 @t345 @t344)) % 0.42/0.77 (define @t349 () (forall @t210 (not @t209))) % 0.42/0.77 (define @t350 () (not @t349)) % 0.42/0.77 (define @t351 () (not @t213)) % 0.42/0.77 (define @t352 () (not @t214)) % 0.42/0.77 (define @t353 () (not @t215)) % 0.42/0.77 (define @t354 () (or @t352 @t353 @t352 @t351)) % 0.42/0.77 (define @t355 () (or @t353 @t352 @t351)) % 0.42/0.77 (define @t356 () (forall @t139 (not @t216))) % 0.42/0.77 (define @t357 () (not @t356)) % 0.42/0.77 (define @t358 () (and @t227 @t271 @t87)) % 0.42/0.77 (define @t359 () (= @t56 @t358)) % 0.42/0.77 (define @t360 () (forall @t57 @t359)) % 0.42/0.77 (define @t361 () (not @t360)) % 0.42/0.77 (define @t362 () (forall @t62 @t361)) % 0.42/0.77 (define @t363 () (not @t362)) % 0.42/0.77 (define @t364 () (not @t31)) % 0.42/0.77 (define @t365 () (or @t364 @t363)) % 0.42/0.77 (define @t366 () (forall @t6 @t365)) % 0.42/0.77 (define @t367 () (forall @t6 (or @t364 @t291))) % 0.42/0.77 (define @t368 () (@list false)) % 0.42/0.77 (define @t369 () (and @t227 @t312)) % 0.42/0.77 (define @t370 () (= @t56 @t369)) % 0.42/0.77 (define @t371 () (or @t302 @t327 @t302 @t326)) % 0.42/0.77 (define @t372 () (or @t327 @t302 @t326)) % 0.42/0.77 (define @t373 () (forall @t55 (not @t225))) % 0.42/0.77 (define @t374 () (not @t373)) % 0.42/0.77 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.42/0.77 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.42/0.77 (assume @p3 (forall @t11 (=> @t10 @t9))) % 0.42/0.77 (assume @p4 (forall @t11 (=> @t15 @t14))) % 0.42/0.77 (assume @p5 (forall @t11 (=> @t10 @t16))) % 0.42/0.77 (assume @p6 (forall @t21 (=> @t20 @t18))) % 0.42/0.77 (assume @p7 (forall @t11 (=> @t24 @t23))) % 0.42/0.77 (assume @p8 (forall @t11 (=> @t14 @t15))) % 0.42/0.77 (assume @p9 (forall @t11 (=> @t10 @t25))) % 0.42/0.77 (assume @p10 (forall @t6 (= @t26 (tptp.unordered_pair @t2 @t1)))) % 0.42/0.77 (assume @p11 (forall @t6 (= @t28 @t27))) % 0.42/0.77 (assume @p12 (forall @t6 (= @t29 (tptp.set_intersection2 @t2 @t1)))) % 0.42/0.77 (assume @p13 (forall @t6 (=> @t32 (or @t30 (tptp.ordinal_subset @t2 @t1))))) % 0.42/0.77 (assume @p14 (forall @t6 (=> @t41 (= @t40 (forall @t38 (= @t37 (and @t35 @t34))))))) % 0.42/0.77 (assume @p15 (forall @t6 (= @t44 (and @t43 @t42)))) % 0.42/0.77 (assume @p16 (forall @t11 (=> @t16 (forall @t52 (=> @t18 (= (= @t17 @t51) (forall @t50 (= @t49 (and @t48 @t47))))))))) % 0.42/0.77 (assume @p17 (forall @t11 (=> @t59 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t54) @t53 (= @t33 (tptp.apply @t1 @t45))))))))))) % 0.42/0.77 (assume @p18 (forall @t6 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t61) (forall @t50 (= @t49 (and @t60 (tptp.in @t46 @t2)))))))))) % 0.42/0.77 (assume @p19 (forall @t11 (=> @t16 (= @t64 (tptp.is_antisymmetric_in @t1 @t63))))) % 0.42/0.77 (assume @p20 (forall @t11 (=> @t59 (forall @t52 (= @t67 (forall @t57 (= @t56 (and @t66 (tptp.in @t65 @t2))))))))) % 0.42/0.77 (assume @p21 (forall @t11 (=> @t16 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t68 @t1) @t53))))))))) % 0.42/0.77 (assume @p22 (forall @t11 (=> @t16 (forall @t52 (= @t67 (forall @t57 (= @t56 (exists @t55 (and @t47 @t53))))))))) % 0.42/0.77 (assume @p23 (forall @t11 (=> @t16 (= @t69 (tptp.is_connected_in @t1 @t63))))) % 0.42/0.77 (assume @p24 (forall @t11 (=> @t16 (= @t70 (tptp.is_transitive_in @t1 @t63))))) % 0.42/0.77 (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))))))))) % 0.42/0.77 (assume @p26 (forall @t11 (=> @t77 (forall @t75 (= (= @t2 (tptp.pair_first @t1)) (forall @t38 (=> @t74 @t73))))))) % 0.42/0.77 (assume @p27 (forall @t11 (= @t79 (tptp.set_union2 @t1 @t78)))) % 0.42/0.77 (assume @p28 (forall @t11 (= @t16 (forall @t75 (not (and @t3 (forall @t38 (not (= @t2 @t36))))))))) % 0.42/0.77 (assume @p29 (forall @t11 (=> @t16 (forall @t75 (= @t81 (forall @t62 (=> @t80 (tptp.in (tptp.ordered_pair @t17 @t17) @t1)))))))) % 0.42/0.77 (assume @p30 (forall @t21 (= @t82 (tptp.subset @t17 @t19)))) % 0.42/0.77 (assume @p31 (forall @t6 (and (=> @t88 (= @t84 (forall @t62 (= @t80 (forall @t57 (=> @t87 @t86)))))) (=> @t85 (= @t84 @t83))))) % 0.42/0.77 (assume @p32 (forall @t6 (= (= @t2 @t78) (forall @t62 (= @t80 (= @t17 @t1)))))) % 0.42/0.77 (assume @p33 (forall @t11 (=> @t16 (forall @t52 (= (= @t17 (tptp.fiber @t1 @t2)) (forall @t57 (= @t56 (and (not @t89) (tptp.in (tptp.ordered_pair @t33 @t2) @t1))))))))) % 0.42/0.77 (assume @p34 (forall @t6 (=> @t41 (= (= @t2 @t92) (and (= @t91 @t1) (forall @t38 (=> (and @t35 @t87) (= @t37 @t90)))))))) % 0.42/0.77 (assume @p35 (forall @t11 (= @t85 (forall @t75 @t4)))) % 0.42/0.77 (assume @p36 (forall @t6 (= (= @t2 @t93) (forall @t62 (= @t80 (tptp.subset @t17 @t1)))))) % 0.42/0.77 (assume @p37 (forall @t11 (=> @t77 (forall @t75 (= (= @t2 (tptp.pair_second @t1)) (forall @t38 (=> @t74 @t94))))))) % 0.42/0.77 (assume @p38 (forall @t11 (= @t13 (forall @t75 (=> @t3 @t42))))) % 0.42/0.77 (assume @p39 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t44 (forall @t38 (= @t95 @t37)))))))) % 0.42/0.77 (assume @p40 (forall @t6 (and (=> @t98 (= @t97 @t3)) (=> @t10 (= @t97 @t96))))) % 0.42/0.77 (assume @p41 (forall @t21 (= (= @t17 @t26) (forall @t57 (= @t56 (or (= @t33 @t1) @t89)))))) % 0.42/0.77 (assume @p42 (forall @t11 (=> @t16 (= @t100 (forall @t75 (not (and (tptp.subset @t2 @t63) @t99 (forall @t62 (not (and @t80 (tptp.disjoint (tptp.fiber @t1 @t17) @t2))))))))))) % 0.42/0.77 (assume @p43 (forall @t21 (= (= @t17 @t28) (forall @t57 (= @t56 (or @t87 @t48)))))) % 0.42/0.77 (assume @p44 (forall @t21 (= (= @t17 @t19) (forall @t57 (= @t56 (exists (@list @t45 @t101) (and @t60 (tptp.in @t101 @t2) (= @t33 (tptp.ordered_pair @t45 @t101))))))))) % 0.42/0.77 (assume @p45 (forall @t11 (= @t12 (forall @t52 (not (and @t3 @t35 (not @t104) @t103 @t102)))))) % 0.42/0.77 (assume @p46 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t43 (forall @t38 (=> @t95 @t37)))))))) % 0.42/0.77 (assume @p47 (forall @t6 (= @t43 @t105))) % 0.42/0.77 (assume @p48 (forall @t11 (=> @t16 (forall @t75 (= @t108 (forall @t62 (not (and @t107 (not @t106) (forall @t57 (not (and @t56 (tptp.disjoint (tptp.fiber @t1 @t33) @t17)))))))))))) % 0.42/0.77 (assume @p49 (forall @t21 (= (= @t17 @t29) (forall @t57 (= @t56 (and @t87 @t48)))))) % 0.42/0.77 (assume @p50 (forall @t11 (=> @t59 (forall @t52 (and (=> @t111 (= @t110 @t112)) (=> (not @t111) (= @t110 @t106))))))) % 0.42/0.77 (assume @p51 (forall @t11 (= @t15 @t14))) % 0.42/0.77 (assume @p52 (forall @t11 (=> @t16 (forall @t75 (= (= @t2 @t54) (forall @t62 (= @t80 (exists @t57 @t95)))))))) % 0.42/0.77 (assume @p53 (forall @t11 (=> @t16 (forall @t75 (= @t114 (forall @t38 (=> (and @t80 @t48 @t95 @t113) @t34))))))) % 0.42/0.77 (assume @p54 (forall @t11 (= @t115 @t1))) % 0.42/0.77 (assume @p55 (forall @t6 (= (= @t2 @t116) (forall @t62 (= @t80 (exists @t57 (and @t86 @t87))))))) % 0.42/0.77 (assume @p56 (forall @t11 (=> @t16 (= @t118 (and @t117 @t70 @t64 @t69 @t100))))) % 0.42/0.77 (assume @p57 (forall @t21 (= (= @t17 @t119) (forall @t57 (= @t56 (and @t87 (not @t48))))))) % 0.42/0.77 (assume @p58 (forall @t11 (=> @t59 (forall @t75 (= @t122 (forall @t62 (= @t80 (exists @t57 @t120)))))))) % 0.42/0.77 (assume @p59 (forall @t11 (=> @t16 (forall @t75 (= @t122 (forall @t62 (= @t80 (exists @t57 @t113)))))))) % 0.42/0.77 (assume @p60 (forall @t6 (=> @t124 (= @t123 @t119)))) % 0.42/0.77 (assume @p61 (forall @t6 (= @t125 (tptp.unordered_pair @t26 @t78)))) % 0.42/0.77 (assume @p62 (forall @t11 (=> @t16 (forall @t75 (= (tptp.well_orders @t1 @t2) (and @t81 @t127 @t114 @t126 @t108)))))) % 0.42/0.77 (assume @p63 (forall @t11 (= @t128 (= @t1 @t116)))) % 0.42/0.77 (assume @p64 (forall @t11 (=> @t16 (= @t63 (tptp.set_union2 @t54 @t121))))) % 0.42/0.77 (assume @p65 (forall @t11 (=> @t16 (forall @t75 (= @t126 (forall @t38 (not (and @t80 @t48 @t129 (not @t95) (not @t113))))))))) % 0.42/0.77 (assume @p66 (forall @t11 (=> @t16 (forall @t75 (= @t131 (tptp.set_intersection2 @t1 @t130)))))) % 0.42/0.77 (assume @p67 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= (= @t2 @t132) (forall @t38 (= @t37 @t113)))))))) % 0.42/0.77 (assume @p68 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t137 (= @t136 (and (= @t135 @t63) (= @t134 @t91) (tptp.one_to_one @t17) (forall @t50 (= @t47 (and (tptp.in @t33 @t63) (tptp.in @t45 @t63) (tptp.in (tptp.ordered_pair @t133 (tptp.apply @t17 @t45)) @t2))))))))))))) % 0.42/0.77 (assume @p69 (forall @t6 (= @t138 (= @t29 tptp.empty_set)))) % 0.42/0.77 (assume @p70 (forall @t11 (=> @t59 (= @t22 (forall @t52 (=> (and @t111 (tptp.in @t17 @t54) (= @t109 (tptp.apply @t1 @t17))) @t73)))))) % 0.42/0.77 (assume @p71 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t140) (forall @t50 (= @t49 (exists @t139 (and (tptp.in (tptp.ordered_pair @t33 @t101) @t1) (tptp.in (tptp.ordered_pair @t101 @t45) @t2))))))))))))) % 0.42/0.77 (assume @p72 (forall @t11 (=> @t16 (forall @t75 (= @t127 (forall @t141 (=> (and @t80 @t48 @t53 @t95 @t47) (tptp.in (tptp.ordered_pair @t17 @t45) @t1)))))))) % 0.42/0.77 (assume @p73 (forall @t6 (=> @t144 (forall @t62 (=> (tptp.element @t17 @t143) (= (= @t17 @t142) (forall @t57 (=> (tptp.element @t33 @t93) (= @t56 (tptp.in (tptp.subset_complement @t1 @t33) @t2)))))))))) % 0.42/0.77 (assume @p74 (forall @t6 (= @t8 (and @t43 @t145)))) % 0.42/0.77 (assume @p75 (forall @t11 (=> @t59 (=> @t22 (= @t146 @t132))))) % 0.42/0.77 (assume @p76 (forall @t11 (=> @t16 (= @t117 (tptp.is_reflexive_in @t1 @t63))))) % 0.42/0.77 (assume @p77 true) % 0.42/0.77 (assume @p78 (forall @t11 (tptp.relation @t92))) % 0.42/0.77 (assume @p79 (forall @t11 (=> @t59 (and (tptp.relation @t146) (tptp.function @t146))))) % 0.42/0.77 (assume @p80 (forall @t11 (tptp.element @t115 @t93))) % 0.42/0.77 (assume @p81 (forall @t6 (=> @t16 (tptp.relation @t131)))) % 0.42/0.77 (assume @p82 (forall @t6 (=> @t124 (tptp.element @t123 @t93)))) % 0.42/0.77 (assume @p83 (forall @t11 (=> @t16 @t147))) % 0.42/0.77 (assume @p84 (forall @t21 (=> @t82 (tptp.element @t148 @t93)))) % 0.42/0.77 (assume @p85 (forall @t6 (=> @t150 @t149))) % 0.42/0.77 (assume @p86 (forall @t21 (=> @t82 (tptp.element @t152 @t151)))) % 0.42/0.77 (assume @p87 (forall @t6 (=> @t144 (tptp.element @t153 @t93)))) % 0.42/0.77 (assume @p88 (forall @t11 @t154)) % 0.42/0.77 (assume @p89 (forall @t6 (=> @t144 (tptp.element @t155 @t93)))) % 0.42/0.77 (assume @p90 (forall @t21 (=> @t158 (tptp.element @t156 @t93)))) % 0.42/0.77 (assume @p91 (forall @t6 (=> @t16 @t159))) % 0.42/0.77 (assume @p92 (forall @t6 (=> @t144 (tptp.element @t142 @t143)))) % 0.42/0.77 (assume @p93 (forall @t6 (=> @t41 @t160))) % 0.42/0.77 (assume @p94 (forall @t21 (=> @t161 @t20))) % 0.42/0.77 (assume @p95 (forall @t6 (exists @t62 @t82))) % 0.42/0.77 (assume @p96 (forall @t11 (exists @t75 @t97))) % 0.42/0.77 (assume @p97 (forall @t6 (exists @t62 @t161))) % 0.42/0.77 (assume @p98 (forall @t6 (=> @t163 (and (tptp.empty @t162) (tptp.relation @t162))))) % 0.42/0.77 (assume @p99 (forall @t11 (=> @t10 (and (tptp.empty @t132) @t147)))) % 0.42/0.77 (assume @p100 (and @t166 @t165 @t164)) % 0.42/0.77 (assume @p101 (forall @t6 (=> @t168 (and @t159 (tptp.relation_empty_yielding @t51))))) % 0.42/0.77 (assume @p102 (forall @t6 (=> (and @t16 @t9 @t41 @t169) (and @t149 (tptp.function @t140))))) % 0.42/0.77 (assume @p103 (forall @t11 @t170)) % 0.42/0.77 (assume @p104 (forall @t6 (=> @t150 (tptp.relation @t29)))) % 0.42/0.77 (assume @p105 (forall @t11 (not (tptp.empty @t93)))) % 0.42/0.77 (assume @p106 @t166) % 0.42/0.77 (assume @p107 (forall @t6 (not (tptp.empty @t125)))) % 0.42/0.77 (assume @p108 (forall @t11 (and @t154 (tptp.function @t39)))) % 0.42/0.77 (assume @p109 (and @t165 @t164 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t166 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.42/0.77 (assume @p110 (forall @t6 (=> @t150 (tptp.relation @t28)))) % 0.42/0.77 (assume @p111 (forall @t11 (not (tptp.empty @t78)))) % 0.42/0.77 (assume @p112 (forall @t6 (=> @t98 (not (tptp.empty @t28))))) % 0.42/0.77 (assume @p113 (forall @t11 (=> @t23 (and @t147 (tptp.function @t132))))) % 0.42/0.77 (assume @p114 (forall @t11 (=> @t15 (and @t170 (tptp.epsilon_transitive @t79) (tptp.epsilon_connected @t79) (tptp.ordinal @t79))))) % 0.42/0.77 (assume @p115 (forall @t6 (=> @t150 (tptp.relation @t119)))) % 0.42/0.77 (assume @p116 (forall @t6 (not (tptp.empty @t26)))) % 0.42/0.77 (assume @p117 (forall @t6 (=> @t98 (not (tptp.empty @t27))))) % 0.42/0.77 (assume @p118 (forall @t6 (=> @t59 (and @t159 (tptp.function @t51))))) % 0.42/0.77 (assume @p119 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t116) (tptp.epsilon_connected @t116) (tptp.ordinal @t116))))) % 0.42/0.77 (assume @p120 (and @t166 @t165)) % 0.42/0.77 (assume @p121 (forall @t6 (=> (and @t98 @t171) (not (tptp.empty @t19))))) % 0.42/0.77 (assume @p122 (forall @t6 (=> @t172 (and @t160 (tptp.function @t61))))) % 0.42/0.77 (assume @p123 (forall @t11 (=> @t174 (not @t173)))) % 0.42/0.77 (assume @p124 (forall @t11 (=> @t174 (not @t175)))) % 0.42/0.77 (assume @p125 (forall @t11 (=> @t10 (and @t173 (tptp.relation @t54))))) % 0.42/0.77 (assume @p126 (forall @t11 (=> @t10 (and @t175 (tptp.relation @t121))))) % 0.42/0.77 (assume @p127 (forall @t6 (=> @t163 (and (tptp.empty @t140) @t149)))) % 0.42/0.77 (assume @p128 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.42/0.77 (assume @p129 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.42/0.77 (assume @p130 (forall @t6 (=> @t124 (= (tptp.subset_complement @t1 @t123) @t2)))) % 0.42/0.77 (assume @p131 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t132) @t1)))) % 0.42/0.77 (assume @p132 (forall @t6 (=> @t144 (= (tptp.complements_of_subsets @t1 @t142) @t2)))) % 0.42/0.77 (assume @p133 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.42/0.77 (assume @p134 (forall @t11 (=> @t16 (= @t117 (forall @t75 (=> @t176 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 0.42/0.77 (assume @p135 (forall @t11 (not (= @t78 tptp.empty_set)))) % 0.42/0.77 (assume @p136 (forall @t6 (=> @t5 (= (tptp.set_union2 @t78 @t2) @t2)))) % 0.42/0.77 (assume @p137 (forall @t6 (not (and @t177 @t5)))) % 0.42/0.77 (assume @p138 (forall @t6 (=> @t178 @t177))) % 0.42/0.77 (assume @p139 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_dom @t61) @t179)))) % 0.42/0.77 (assume @p140 (forall @t11 (=> @t16 (= @t70 (forall (@list @t2 @t17 @t33) (=> (and @t112 @t95) (tptp.in (tptp.ordered_pair @t2 @t33) @t1))))))) % 0.42/0.77 (assume @p141 (forall @t6 (= (tptp.subset @t78 @t2) @t5))) % 0.42/0.77 (assume @p142 (forall @t6 (= (= @t119 tptp.empty_set) @t43))) % 0.42/0.77 (assume @p143 (forall @t6 (=> @t124 (forall @t62 (=> @t80 @t35))))) % 0.42/0.77 (assume @p144 (forall @t11 (=> @t16 (= @t64 (forall @t52 (=> (and @t112 @t180) @t73)))))) % 0.42/0.77 (assume @p145 (forall @t21 (=> @t43 (or @t35 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t17))))))) % 0.42/0.77 (assume @p146 (forall @t11 (=> @t16 (= @t69 (forall @t52 (not (and @t176 (tptp.in @t17 @t63) @t103 @t181 (not @t180)))))))) % 0.42/0.77 (assume @p147 (forall @t6 (= (tptp.subset @t1 @t182) (or @t85 (= @t1 @t182))))) % 0.42/0.77 (assume @p148 (forall @t6 (=> @t5 (tptp.subset @t1 @t183)))) % 0.42/0.77 (assume @p149 (forall @t72 (= (tptp.in @t125 (tptp.cartesian_product2 @t17 @t33)) (and @t184 (tptp.in @t2 @t33))))) % 0.42/0.77 (assume @p150 (forall @t6 (=> @t105 @t185))) % 0.42/0.77 (assume @p151 (forall @t21 (=> @t137 (= @t187 (and (tptp.in @t2 @t135) @t3))))) % 0.42/0.77 (assume @p152 (exists @t11 @t59)) % 0.42/0.77 (assume @p153 (exists @t11 @t25)) % 0.42/0.77 (assume @p154 (exists @t11 (and @t10 @t16))) % 0.42/0.77 (assume @p155 (forall @t11 (=> @t98 (exists @t75 (and @t124 @t171))))) % 0.42/0.77 (assume @p156 (exists @t11 @t10)) % 0.42/0.77 (assume @p157 (exists @t11 @t24)) % 0.42/0.77 (assume @p158 (exists @t11 (and @t16 @t9 @t22 @t10 @t13 @t12 @t15))) % 0.42/0.77 (assume @p159 (exists @t11 @t174)) % 0.42/0.77 (assume @p160 (forall @t11 (exists @t75 (and @t124 @t96)))) % 0.42/0.77 (assume @p161 (exists @t11 @t98)) % 0.42/0.77 (assume @p162 (exists @t11 @t23)) % 0.42/0.77 (assume @p163 (exists @t11 (and @t98 @t13 @t12 @t15))) % 0.42/0.77 (assume @p164 (exists @t11 @t168)) % 0.42/0.77 (assume @p165 (exists @t11 (and @t16 @t167 @t9))) % 0.42/0.77 (assume @p166 (forall @t21 (=> @t82 (= @t148 @t135)))) % 0.42/0.77 (assume @p167 (forall @t21 (=> @t82 (= @t152 @t134)))) % 0.42/0.77 (assume @p168 (forall @t6 (=> @t144 (= @t153 @t183)))) % 0.42/0.77 (assume @p169 (forall @t6 (=> @t144 (= @t155 (tptp.set_meet @t2))))) % 0.42/0.77 (assume @p170 (forall @t21 (=> @t158 (= @t156 @t188)))) % 0.42/0.77 (assume @p171 (forall @t21 (= @t161 @t82))) % 0.42/0.77 (assume @p172 (forall @t6 (=> @t32 (= @t30 @t43)))) % 0.42/0.77 (assume @p173 (forall @t6 (=> @t32 (tptp.ordinal_subset @t1 @t1)))) % 0.42/0.77 (assume @p174 (forall @t6 (tptp.subset @t1 @t1))) % 0.42/0.77 (assume @p175 @t223) % 0.42/0.77 (assume @p176 @t234) % 0.42/0.77 (assume @p177 (forall @t6 (=> @t138 (tptp.disjoint @t2 @t1)))) % 0.42/0.77 (assume @p178 (forall @t11 (tptp.in @t1 @t79))) % 0.42/0.77 (assume @p179 (forall @t72 (not (and (= @t26 (tptp.unordered_pair @t17 @t33)) (not @t235) (not (= @t1 @t33)))))) % 0.42/0.77 (assume @p180 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t134)))))) % 0.42/0.77 (assume @p181 (forall @t6 (=> @t41 (tptp.subset @t236 @t1)))) % 0.42/0.77 (assume @p182 (forall @t6 (=> @t41 (tptp.subset @t61 @t2)))) % 0.42/0.77 (assume @p183 (forall @t6 (=> @t41 (tptp.subset @t236 @t237)))) % 0.42/0.77 (assume @p184 (forall @t21 (=> @t43 (and (tptp.subset @t238 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 0.42/0.77 (assume @p185 (forall @t6 (=> @t41 (= @t236 (tptp.set_intersection2 @t237 @t1))))) % 0.42/0.77 (assume @p186 (forall @t72 (=> (and @t43 @t90) (tptp.subset @t238 (tptp.cartesian_product2 @t2 @t33))))) % 0.42/0.77 (assume @p187 (forall @t21 (=> @t161 (and (tptp.subset @t135 @t1) (tptp.subset @t134 @t2))))) % 0.42/0.77 (assume @p188 (forall @t6 (=> @t43 (= @t28 @t2)))) % 0.42/0.77 (assume @p189 (forall @t11 (exists @t75 (and @t5 @t241 (forall @t62 (=> @t80 (tptp.in @t240 @t2))) @t239)))) % 0.42/0.77 (assume @p190 (forall @t21 (=> @t18 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t242))))) % 0.42/0.77 (assume @p191 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_image @t17 @t2)) (exists @t57 (and (tptp.in @t33 @t135) (tptp.in (tptp.ordered_pair @t33 @t1) @t17) @t48)))))) % 0.42/0.77 (assume @p192 (forall @t6 (=> @t41 (tptp.subset @t243 @t237)))) % 0.42/0.77 (assume @p193 (forall @t6 (=> @t172 (tptp.subset @t245 @t1)))) % 0.42/0.77 (assume @p194 (forall @t6 (=> @t41 (= @t243 (tptp.relation_image @t2 @t246))))) % 0.42/0.77 (assume @p195 (forall @t6 (=> @t41 (=> (tptp.subset @t1 @t179) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t243)))))) % 0.42/0.77 (assume @p196 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t54) @t121)))) % 0.42/0.77 (assume @p197 (forall @t6 (=> @t172 (=> @t247 (= @t245 @t1))))) % 0.42/0.77 (assume @p198 (forall @t72 (=> @t249 (=> (tptp.subset (tptp.relation_rng @t33) @t2) @t248)))) % 0.42/0.77 (assume @p199 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (= @t250 (tptp.relation_image @t2 @t121))))))) % 0.42/0.77 (assume @p200 (forall @t21 (=> @t18 (= (tptp.in @t1 @t251) (exists @t57 (and (tptp.in @t33 @t134) (tptp.in (tptp.ordered_pair @t1 @t33) @t17) @t48)))))) % 0.42/0.77 (assume @p201 (forall @t6 (=> @t41 (tptp.subset @t244 @t179)))) % 0.42/0.77 (assume @p202 (forall @t72 (=> @t249 (=> @t43 @t248)))) % 0.42/0.77 (assume @p203 (forall @t21 (=> @t18 (= (tptp.in @t1 @t252) (and @t184 (tptp.in @t1 @t130)))))) % 0.42/0.77 (assume @p204 (forall @t6 (=> @t41 (not (and @t88 @t247 (= @t244 tptp.empty_set)))))) % 0.42/0.77 (assume @p205 (forall @t21 (=> @t18 (=> @t43 (tptp.subset (tptp.relation_inverse_image @t17 @t1) @t251))))) % 0.42/0.77 (assume @p206 (forall @t6 (=> @t41 (= @t253 (tptp.relation_dom_restriction @t61 @t1))))) % 0.42/0.77 (assume @p207 (forall @t6 (tptp.subset @t29 @t1))) % 0.42/0.77 (assume @p208 (forall @t6 (=> @t41 (= @t253 (tptp.relation_rng_restriction @t1 @t254))))) % 0.42/0.77 (assume @p209 (forall @t21 (=> @t18 (=> (tptp.in @t1 (tptp.relation_field @t252)) (and @t256 @t5))))) % 0.42/0.77 (assume @p210 (forall @t21 (=> (and @t43 @t258) (tptp.subset @t1 @t257)))) % 0.42/0.77 (assume @p211 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.42/0.77 (assume @p212 (forall @t6 (=> @t5 @t259))) % 0.42/0.77 (assume @p213 (forall @t21 (=> (and @t43 (tptp.subset @t2 @t17)) @t258))) % 0.42/0.77 (assume @p214 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 0.42/0.77 (assume @p215 (forall @t21 (=> @t18 (=> @t261 (and @t260 (tptp.in @t2 @t134)))))) % 0.42/0.77 (assume @p216 (forall @t6 (=> @t41 (and (tptp.subset @t262 @t91) (tptp.subset @t262 @t1))))) % 0.42/0.77 (assume @p217 (forall @t6 (=> @t172 (forall @t62 (=> @t137 (= @t265 (and @t260 (tptp.in @t263 @t179)))))))) % 0.42/0.77 (assume @p218 (forall @t11 (=> @t13 (forall @t75 (=> @t31 (=> @t8 @t5)))))) % 0.42/0.77 (assume @p219 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t54 @t121))))) % 0.42/0.77 (assume @p220 (forall @t21 (=> @t18 (tptp.subset (tptp.fiber (tptp.relation_restriction @t17 @t1) @t2) (tptp.fiber @t17 @t2))))) % 0.42/0.77 (assume @p221 (forall @t6 (=> @t172 (forall @t62 (=> @t137 (=> @t265 (= (tptp.apply @t264 @t1) (tptp.apply @t2 @t263)))))))) % 0.42/0.77 (assume @p222 (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))))) % 0.42/0.77 (assume @p223 (forall @t6 (=> @t41 (=> @t266 (tptp.reflexive @t253))))) % 0.42/0.77 (assume @p224 (forall @t6 (=> @t172 (forall @t62 (=> @t137 (=> (tptp.in @t1 @t179) (= (tptp.apply (tptp.relation_composition @t2 @t17) @t1) (tptp.apply @t17 (tptp.apply @t2 @t1))))))))) % 0.42/0.77 (assume @p225 (forall @t6 (=> @t31 (=> @t5 @t15)))) % 0.42/0.77 (assume @p226 (forall @t21 (=> @t161 (= (forall @t57 (not (and @t48 (forall @t55 (not (tptp.in @t68 @t17)))))) (= @t152 @t2))))) % 0.42/0.77 (assume @p227 (forall @t6 (=> @t41 (=> @t267 (tptp.connected @t253))))) % 0.42/0.77 (assume @p228 (forall @t11 (=> @t15 (forall @t75 (=> @t31 (not (and @t178 @t145 @t4))))))) % 0.42/0.77 (assume @p229 (forall @t6 (=> @t41 (=> @t268 (tptp.transitive @t253))))) % 0.42/0.77 (assume @p230 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> @t43 (and (tptp.subset @t54 @t179) (tptp.subset @t121 @t237)))))))) % 0.42/0.77 (assume @p231 (forall @t6 (=> @t41 (=> @t269 (tptp.antisymmetric @t253))))) % 0.42/0.77 (assume @p232 (forall @t21 (=> @t43 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t257)))) % 0.42/0.77 (assume @p233 (forall @t6 (=> @t43 (= @t29 @t1)))) % 0.42/0.77 (assume @p234 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.42/0.77 (assume @p235 (forall @t6 (=> @t259 (or @t96 @t5)))) % 0.42/0.77 (assume @p236 (forall @t6 (=> (forall @t62 (= @t35 @t80)) @t44))) % 0.42/0.77 (assume @p237 (forall @t11 (tptp.reflexive @t92))) % 0.42/0.77 (assume @p238 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 0.42/0.77 (assume @p239 (forall @t21 (=> @t18 (=> @t261 (and @t256 (tptp.in @t2 @t255)))))) % 0.42/0.77 (assume @p240 (forall @t11 (=> (forall @t75 (=> @t3 (and @t31 @t42))) @t15))) % 0.42/0.77 (assume @p241 (forall @t6 (=> @t41 (=> @t270 (tptp.well_founded_relation @t253))))) % 0.42/0.77 (assume @p242 (forall @t6 (=> @t31 (not (and @t43 @t88 (forall @t62 (=> (tptp.ordinal @t17) (not (and @t35 (forall @t57 (=> @t271 (=> @t87 (tptp.ordinal_subset @t17 @t33))))))))))))) % 0.42/0.77 (assume @p243 (forall @t6 (=> @t41 (=> @t272 (tptp.well_ordering @t253))))) % 0.42/0.77 (assume @p244 (forall @t11 (=> @t15 (forall @t75 (=> @t31 (= @t5 (tptp.ordinal_subset @t79 @t2))))))) % 0.42/0.77 (assume @p245 (forall @t21 (=> @t43 (tptp.subset (tptp.set_difference @t1 @t17) @t188)))) % 0.42/0.77 (assume @p246 (forall @t72 (=> (= @t125 @t36) (and @t235 @t94)))) % 0.42/0.77 (assume @p247 (forall @t6 (=> @t172 (= @t40 (and (= @t179 @t1) (forall @t62 (=> @t35 (= @t273 @t17)))))))) % 0.42/0.77 (assume @p248 (forall @t6 (=> @t3 (= (tptp.apply @t39 @t2) @t2)))) % 0.42/0.77 (assume @p249 (forall @t6 (tptp.subset @t119 @t1))) % 0.42/0.77 (assume @p250 (forall @t11 (=> @t16 (and (= @t121 (tptp.relation_dom @t132)) (= @t54 (tptp.relation_rng @t132)))))) % 0.42/0.77 (assume @p251 (forall @t21 (= (tptp.subset @t26 @t17) (and @t184 @t104)))) % 0.42/0.77 (assume @p252 (forall @t6 (=> @t41 (=> (and @t272 (tptp.subset @t1 @t91)) (= @t262 @t1))))) % 0.42/0.77 (assume @p253 (forall @t6 (= @t274 @t28))) % 0.42/0.77 (assume @p254 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.42/0.77 (assume @p255 (forall @t21 (not (and @t5 @t104 @t35)))) % 0.42/0.77 (assume @p256 (forall @t6 (= @t185 @t43))) % 0.42/0.77 (assume @p257 (forall @t11 (tptp.transitive @t92))) % 0.42/0.77 (assume @p258 (forall @t6 (and (not (and @t276 (forall @t62 (not @t275)))) (not (and (exists @t62 @t275) @t138))))) % 0.42/0.77 (assume @p259 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t85))) % 0.42/0.77 (assume @p260 (forall @t6 (= (tptp.set_difference @t28 @t2) @t119))) % 0.42/0.77 (assume @p261 (forall @t11 (=> @t15 (= @t128 (forall @t75 (=> @t31 (=> @t3 (tptp.in @t197 @t1)))))))) % 0.42/0.77 (assume @p262 (forall @t11 (=> @t15 (and (not (and (not @t128) (forall @t75 (=> @t31 (not @t277))))) (not (and (exists @t75 (and @t31 @t277)) @t128)))))) % 0.42/0.77 (assume @p263 (forall @t6 (=> @t124 (forall @t62 (=> @t157 (= @t279 (tptp.subset @t2 @t278))))))) % 0.42/0.77 (assume @p264 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (tptp.subset @t280 @t54)))))) % 0.42/0.77 (assume @p265 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (tptp.subset @t250 @t237)))))) % 0.42/0.77 (assume @p266 (forall @t6 (=> @t43 (= @t2 @t274)))) % 0.42/0.77 (assume @p267 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> (tptp.subset @t121 @t179) (= @t280 @t54))))))) % 0.42/0.77 (assume @p268 (forall @t6 (=> @t144 (not (and @t99 (= @t142 tptp.empty_set)))))) % 0.42/0.77 (assume @p269 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (=> (tptp.subset @t54 @t237) (= (tptp.relation_rng @t162) @t121))))))) % 0.42/0.77 (assume @p270 (forall @t6 (=> @t144 (=> @t99 (= (tptp.subset_difference @t1 @t115 @t153) (tptp.meet_of_subsets @t1 @t142)))))) % 0.42/0.77 (assume @p271 (forall @t6 (=> @t144 (=> @t99 (= (tptp.union_of_subsets @t1 @t142) (tptp.subset_difference @t1 @t115 @t155)))))) % 0.42/0.77 (assume @p272 (forall @t6 (= (tptp.set_difference @t1 @t119) @t29))) % 0.42/0.77 (assume @p273 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t137 (=> @t136 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t17)))))))))) % 0.42/0.77 (assume @p274 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.42/0.77 (assume @p275 (forall @t21 (=> (and @t5 @t281) (tptp.element @t1 @t17)))) % 0.42/0.77 (assume @p276 (forall @t11 (=> @t15 (tptp.connected @t92)))) % 0.42/0.77 (assume @p277 (forall @t6 (and (not (and @t276 (forall @t62 (not @t282)))) (not (and (exists @t62 @t282) @t138))))) % 0.42/0.77 (assume @p278 (forall @t11 (=> @t88 (forall @t75 (=> @t124 (forall @t62 (=> (tptp.element @t17 @t1) (=> @t102 (tptp.in @t17 @t123))))))))) % 0.42/0.77 (assume @p279 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t137 (=> @t136 (and (=> @t117 @t266) (=> @t70 @t268) (=> @t69 @t267) (=> @t64 @t269) (=> @t100 @t270)))))))))) % 0.42/0.77 (assume @p280 (forall @t11 (=> @t59 (=> @t22 (forall @t75 (=> @t172 (= (= @t2 @t146) (and (= @t179 @t121) (forall @t38 (and (=> @t283 @t120) (=> @t120 @t283))))))))))) % 0.42/0.77 (assume @p281 (forall @t21 (=> @t157 (not (and (tptp.in @t2 @t278) @t104))))) % 0.42/0.77 (assume @p282 (forall @t11 (=> @t16 (forall @t75 (=> @t41 (forall @t62 (=> @t137 (=> (and @t118 @t136) @t272)))))))) % 0.42/0.77 (assume @p283 (forall @t11 (=> @t59 (=> @t22 (and (= @t121 (tptp.relation_dom @t146)) (= @t54 (tptp.relation_rng @t146))))))) % 0.42/0.77 (assume @p284 (forall @t11 (=> @t16 (=> (forall @t52 @t181) @t85)))) % 0.42/0.77 (assume @p285 (forall @t6 (=> @t172 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t237)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t284 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t284 @t2) @t1))))))) % 0.42/0.77 (assume @p286 (forall @t21 (not (and @t5 @t281 (tptp.empty @t17))))) % 0.42/0.77 (assume @p287 (forall @t11 (=> @t16 (= @t100 (tptp.is_well_founded_in @t1 @t63))))) % 0.42/0.77 (assume @p288 (forall @t11 (tptp.antisymmetric @t92))) % 0.42/0.77 (assume @p289 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.42/0.77 (assume @p290 (forall @t6 (not (and @t43 @t7)))) % 0.42/0.77 (assume @p291 (forall @t11 (=> @t59 (=> @t22 (tptp.one_to_one @t146))))) % 0.42/0.77 (assume @p292 (forall @t21 (=> (and @t43 @t279) (tptp.disjoint @t1 @t17)))) % 0.42/0.77 (assume @p293 (forall @t11 (=> @t16 (=> (or @t286 @t285) @t85)))) % 0.42/0.77 (assume @p294 (forall @t11 (=> @t16 (= @t286 @t285)))) % 0.42/0.77 (assume @p295 (forall @t6 (= (= (tptp.set_difference @t1 @t182) @t1) @t4))) % 0.42/0.77 (assume @p296 (forall @t6 (=> @t172 (forall @t62 (=> @t137 (= (= @t2 @t186) (and (= @t179 (tptp.set_intersection2 @t135 @t1)) (forall @t57 (=> (tptp.in @t33 @t179) (= (tptp.apply @t2 @t33) @t133)))))))))) % 0.42/0.77 (assume @p297 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t78))) % 0.42/0.77 (assume @p298 (forall @t11 (=> @t10 @t85))) % 0.42/0.77 (assume @p299 (forall @t6 (=> (tptp.subset @t78 @t182) @t44))) % 0.42/0.77 (assume @p300 (forall @t21 (=> @t137 (=> @t187 @t287)))) % 0.42/0.77 (assume @p301 (forall @t11 (and (= (tptp.relation_dom @t39) @t1) (= (tptp.relation_rng @t39) @t1)))) % 0.42/0.77 (assume @p302 (forall @t21 (=> @t137 (=> @t3 @t287)))) % 0.42/0.77 (assume @p303 (forall @t72 (=> (tptp.relation @t33) (= (tptp.in @t125 (tptp.relation_composition (tptp.identity_relation @t17) @t33)) (and @t184 (tptp.in @t125 @t33)))))) % 0.42/0.77 (assume @p304 (forall @t6 (not (and @t5 @t96)))) % 0.42/0.77 (assume @p305 (forall @t6 (and (= (tptp.pair_first @t125) @t1) (= (tptp.pair_second @t125) @t2)))) % 0.42/0.77 (assume @p306 (forall @t6 (not (and @t5 (forall @t62 (not (and @t80 (forall @t57 (not (and @t48 @t56)))))))))) % 0.42/0.77 (assume @p307 (forall @t6 (tptp.subset @t1 @t28))) % 0.42/0.77 (assume @p308 (forall @t6 (= @t138 (= @t119 @t1)))) % 0.42/0.77 (assume @p309 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_dom @t242)) (and @t5 @t260))))) % 0.42/0.77 (assume @p310 (forall @t6 (=> @t41 (tptp.subset @t254 @t2)))) % 0.42/0.77 (assume @p311 (forall @t6 (not (and @t10 @t145 @t96)))) % 0.42/0.77 (assume @p312 (forall @t21 (=> @t137 (= @t261 (and @t260 (= @t2 @t263)))))) % 0.42/0.77 (assume @p313 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t63) @t118)))) % 0.42/0.77 (assume @p314 (forall @t21 (=> (and @t43 @t107) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 0.42/0.77 (assume @p315 (forall @t21 (=> @t288 @t44))) % 0.42/0.77 (assume @p316 (forall @t6 (=> @t41 (= (tptp.relation_dom @t254) @t246)))) % 0.42/0.77 (assume @p317 (forall @t6 (=> @t41 (= @t254 (tptp.relation_composition @t39 @t2))))) % 0.42/0.77 (assume @p318 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_rng @t254) @t237)))) % 0.42/0.77 (assume @p319 (forall @t11 (= (tptp.union @t93) @t1))) % 0.42/0.77 (assume @p320 (forall @t11 (exists @t75 (and @t5 @t241 (forall @t62 (not (and @t80 (forall @t57 (not (and @t48 (forall @t55 (=> (tptp.subset @t45 @t17) @t71)))))))) @t239)))) % 0.42/0.77 (assume @p321 (forall @t21 (=> @t288 @t73))) % 0.42/0.77 (step @p322 :rule bool-impl-elim :args (@t31 @t291)) % 0.42/0.77 (step @p323 :rule cong :premises (@p322) :args ((forall @t6 (=> @t31 @t291)))) % 0.42/0.77 (step @p324 :rule bool-impl-true2 :args (@t291)) % 0.42/0.77 (step @p325 :rule exists-elim :args ((= (exists @t62 @t290) @t291))) % 0.42/0.77 (step @p326 :rule bool-double-not-elim :args (@t227)) % 0.42/0.77 (step @p327 :rule bool-double-not-elim :args (@t87)) % 0.42/0.77 (step @p328 :rule bool-double-not-elim :args (@t271)) % 0.42/0.77 (step @p329 :rule nary_cong :premises (@p328 @p327 @p326) :args (@t298)) % 0.42/0.77 (step @p330 :rule aci_norm :args ((= (and @t297 (and @t295 @t293)) @t298))) % 0.42/0.77 (step @p331 :rule trans :premises (@p330 @p329)) % 0.42/0.77 (step @p332 :rule bool-or-de-morgan :args (@t294 @t292 false)) % 0.42/0.77 (step @p333 :rule refl :args (@t297)) % 0.42/0.77 (step @p334 :rule nary_cong :premises (@p333 @p332) :args ((and @t297 (not (or @t294 @t292))))) % 0.42/0.77 (step @p335 :rule bool-or-de-morgan :args (@t296 @t294 (or @t292))) % 0.42/0.77 (step @p336 :rule trans :premises (@p335 @p334)) % 0.42/0.77 (step @p337 :rule trans :premises (@p336 @p331)) % 0.42/0.77 (step @p338 :rule refl :args (@t56)) % 0.42/0.77 (step @p339 :rule cong :premises (@p338 @p337) :args (@t299)) % 0.42/0.77 (step @p340 :rule cong :premises (@p339) :args ((forall @t57 @t299))) % 0.42/0.77 (step @p341 :rule aci_norm :args ((= (or @t292 false) @t292))) % 0.42/0.77 (step @p342 :rule evaluate :args ((not true))) % 0.42/0.77 (step @p343 :rule eq-refl :args (@t33)) % 0.42/0.77 (step @p344 :rule cong :premises (@p343) :args (@t300)) % 0.42/0.77 (step @p345 :rule trans :premises (@p344 @p342)) % 0.42/0.77 (step @p346 :rule refl :args (@t292)) % 0.42/0.77 (step @p347 :rule nary_cong :premises (@p346 @p345) :args (@t301)) % 0.42/0.77 (step @p348 :rule trans :premises (@p347 @p341)) % 0.42/0.77 (step @p349 :rule quant-var-elim-eq :args ((= (forall @t55 (or @t304 @t303 @t302)) @t301))) % 0.42/0.77 (step @p350 :rule refl :args (@t302)) % 0.42/0.77 (step @p351 :rule refl :args (@t303)) % 0.42/0.77 (step @p352 :rule eq-symm :args (@t33 @t45)) % 0.42/0.77 (step @p353 :rule cong :premises (@p352) :args (@t302)) % 0.42/0.77 (step @p354 :rule nary_cong :premises (@p353 @p351 @p350) :args (@t305)) % 0.42/0.77 (step @p355 :rule aci_norm :args ((= @t306 @t305))) % 0.42/0.77 (step @p356 :rule trans :premises (@p355 @p354)) % 0.42/0.77 (step @p357 :rule cong :premises (@p356) :args (@t307)) % 0.42/0.77 (step @p358 :rule trans :premises (@p357 @p349)) % 0.42/0.77 (step @p359 :rule trans :premises (@p358 @p348)) % 0.42/0.77 (step @p360 :rule refl :args (@t294)) % 0.42/0.77 (step @p361 :rule refl :args (@t296)) % 0.42/0.77 (step @p362 :rule nary_cong :premises (@p361 @p360 @p359) :args (@t308)) % 0.42/0.77 (step @p363 :rule quant-miniscope-or :args ((= (forall @t55 @t309) @t308))) % 0.42/0.77 (step @p364 :rule aci_norm :args ((= @t310 @t309))) % 0.42/0.77 (step @p365 :rule cong :premises (@p364) :args ((forall @t55 @t310))) % 0.42/0.77 (step @p366 :rule trans :premises (@p365 @p363)) % 0.42/0.77 (step @p367 :rule trans :premises (@p366 @p362)) % 0.42/0.77 (step @p368 :rule aci_norm :args ((= (or @t303 @t302 @t311) @t310))) % 0.42/0.77 (step @p369 :rule bool-double-not-elim :args (@t311)) % 0.42/0.77 (step @p370 :rule nary_cong :premises (@p351 @p350 @p369) :args (@t314)) % 0.42/0.77 (step @p371 :rule aci_norm :args ((= (or @t303 (or @t302 @t313)) @t314))) % 0.42/0.77 (step @p372 :rule trans :premises (@p371 @p370)) % 0.42/0.77 (step @p373 :rule bool-and-de-morgan :args (@t204 @t312 true)) % 0.42/0.77 (step @p374 :rule nary_cong :premises (@p351 @p373) :args ((or @t303 (not (and @t204 @t312))))) % 0.42/0.77 (step @p375 :rule bool-and-de-morgan :args (@t198 @t204 (and @t312))) % 0.42/0.77 (step @p376 :rule trans :premises (@p375 @p374)) % 0.42/0.77 (step @p377 :rule trans :premises (@p376 @p372)) % 0.42/0.77 (step @p378 :rule trans :premises (@p377 @p368)) % 0.42/0.77 (step @p379 :rule cong :premises (@p378) :args (@t316)) % 0.42/0.77 (step @p380 :rule trans :premises (@p379 @p367)) % 0.42/0.77 (step @p381 :rule cong :premises (@p380) :args (@t317)) % 0.42/0.77 (step @p382 :rule exists-elim :args ((= (exists @t55 @t315) @t317))) % 0.42/0.77 (step @p383 :rule trans :premises (@p382 @p381)) % 0.42/0.77 (step @p384 :rule aci_norm :args ((= (or @t296 false @t294) @t311))) % 0.42/0.77 (step @p385 :rule nary_cong :premises (@p361 @p345 @p360) :args (@t318)) % 0.42/0.77 (step @p386 :rule trans :premises (@p385 @p384)) % 0.42/0.77 (step @p387 :rule quant-var-elim-eq :args ((= (forall @t194 (or (not (= @t189 @t33)) @t321 @t320 @t319)) @t318))) % 0.42/0.77 (step @p388 :rule refl :args (@t319)) % 0.42/0.77 (step @p389 :rule refl :args (@t320)) % 0.42/0.77 (step @p390 :rule refl :args (@t321)) % 0.42/0.77 (step @p391 :rule eq-symm :args (@t33 @t189)) % 0.42/0.77 (step @p392 :rule cong :premises (@p391) :args (@t320)) % 0.42/0.77 (step @p393 :rule nary_cong :premises (@p392 @p390 @p389 @p388) :args (@t322)) % 0.42/0.77 (step @p394 :rule aci_norm :args ((= @t323 @t322))) % 0.42/0.77 (step @p395 :rule trans :premises (@p394 @p393)) % 0.42/0.77 (step @p396 :rule cong :premises (@p395) :args ((forall @t194 @t323))) % 0.42/0.77 (step @p397 :rule trans :premises (@p396 @p387)) % 0.42/0.77 (step @p398 :rule trans :premises (@p397 @p386)) % 0.42/0.77 (step @p399 :rule aci_norm :args ((= (or @t321 (or @t320 @t319)) @t323))) % 0.42/0.77 (step @p400 :rule bool-and-de-morgan :args (@t191 @t190 true)) % 0.42/0.77 (step @p401 :rule nary_cong :premises (@p390 @p400) :args ((or @t321 (not (and @t191 @t190))))) % 0.42/0.77 (step @p402 :rule bool-and-de-morgan :args (@t192 @t191 (and @t190))) % 0.42/0.77 (step @p403 :rule trans :premises (@p402 @p401)) % 0.42/0.77 (step @p404 :rule trans :premises (@p403 @p399)) % 0.42/0.77 (step @p405 :rule cong :premises (@p404) :args (@t324)) % 0.42/0.77 (step @p406 :rule trans :premises (@p405 @p398)) % 0.42/0.77 (step @p407 :rule cong :premises (@p406) :args (@t325)) % 0.42/0.77 (step @p408 :rule exists-elim :args ((= @t195 @t325))) % 0.42/0.77 (step @p409 :rule trans :premises (@p408 @p407)) % 0.42/0.77 (step @p410 :rule eq-symm :args (@t45 @t33)) % 0.42/0.77 (step @p411 :rule refl :args (@t198)) % 0.42/0.77 (step @p412 :rule nary_cong :premises (@p411 @p410 @p409) :args (@t199)) % 0.42/0.77 (step @p413 :rule cong :premises (@p412) :args (@t200)) % 0.42/0.77 (step @p414 :rule trans :premises (@p413 @p383)) % 0.42/0.77 (step @p415 :rule refl :args (@t56)) % 0.42/0.77 (step @p416 :rule cong :premises (@p415 @p414) :args (@t201)) % 0.42/0.77 (step @p417 :rule cong :premises (@p416) :args (@t202)) % 0.42/0.77 (step @p418 :rule trans :premises (@p417 @p340)) % 0.42/0.77 (step @p419 :rule cong :premises (@p418) :args (@t203)) % 0.42/0.77 (step @p420 :rule trans :premises (@p419 @p325)) % 0.42/0.77 (step @p421 :rule quant-unused-vars :args ((= (forall @t50 true) true))) % 0.42/0.77 (step @p422 :rule bool-or-taut2 :args ((or @t296 @t294) @t204 (or @t327 @t326) false)) % 0.42/0.77 (step @p423 :rule cong :premises (@p422) :args ((forall @t50 @t328))) % 0.42/0.77 (step @p424 :rule trans :premises (@p423 @p421)) % 0.42/0.77 (step @p425 :rule aci_norm :args ((= (or false @t296 @t294 @t302 @t327 @t326 @t204) @t328))) % 0.42/0.77 (step @p426 :rule refl :args (@t204)) % 0.42/0.77 (step @p427 :rule refl :args (@t326)) % 0.42/0.77 (step @p428 :rule refl :args (@t327)) % 0.42/0.77 (step @p429 :rule refl :args (@t302)) % 0.42/0.77 (step @p430 :rule nary_cong :premises (@p345 @p361 @p360 @p429 @p428 @p427 @p426) :args (@t329)) % 0.42/0.77 (step @p431 :rule trans :premises (@p430 @p425)) % 0.42/0.77 (step @p432 :rule cong :premises (@p431) :args ((forall @t50 @t329))) % 0.42/0.77 (step @p433 :rule trans :premises (@p432 @p424)) % 0.42/0.77 (step @p434 :rule quant-var-elim-eq :args ((= (forall @t62 @t331) @t329))) % 0.42/0.77 (step @p435 :rule aci_norm :args ((= @t332 @t331))) % 0.42/0.77 (step @p436 :rule cong :premises (@p435) :args (@t333)) % 0.42/0.77 (step @p437 :rule trans :premises (@p436 @p434)) % 0.42/0.77 (step @p438 :rule cong :premises (@p437) :args (@t334)) % 0.42/0.77 (step @p439 :rule quant-merge-prenex :args ((= @t334 @t335))) % 0.42/0.77 (step @p440 :rule symm :premises (@p439)) % 0.42/0.77 (step @p441 :rule quant_var_reordering :args ((= (forall @t141 @t332) @t335))) % 0.42/0.77 (step @p442 :rule trans :premises (@p441 @p440 @p438)) % 0.42/0.77 (step @p443 :rule trans :premises (@p442 @p433)) % 0.42/0.77 (step @p444 :rule aci_norm :args ((= (or @t336 @t204) @t332))) % 0.42/0.77 (step @p445 :rule refl :args (@t204)) % 0.42/0.77 (step @p446 :rule aci_norm :args ((= (or @t129 @t311 @t330 @t337) @t336))) % 0.42/0.77 (step @p447 :rule bool-double-not-elim :args (@t337)) % 0.42/0.77 (step @p448 :rule refl :args (@t330)) % 0.42/0.77 (step @p449 :rule refl :args (@t129)) % 0.42/0.77 (step @p450 :rule nary_cong :premises (@p449 @p369 @p448 @p447) :args (@t340)) % 0.42/0.77 (step @p451 :rule aci_norm :args ((= (or @t129 (or @t313 (or @t330 @t339))) @t340))) % 0.42/0.77 (step @p452 :rule trans :premises (@p451 @p450)) % 0.42/0.77 (step @p453 :rule bool-and-de-morgan :args (@t212 @t338 true)) % 0.42/0.77 (step @p454 :rule refl :args (@t313)) % 0.42/0.77 (step @p455 :rule nary_cong :premises (@p454 @p453) :args ((or @t313 (not (and @t212 @t338))))) % 0.42/0.77 (step @p456 :rule bool-and-de-morgan :args (@t312 @t212 (and @t338))) % 0.42/0.77 (step @p457 :rule trans :premises (@p456 @p455)) % 0.42/0.77 (step @p458 :rule nary_cong :premises (@p449 @p457) :args ((or @t129 (not (and @t312 @t212 @t338))))) % 0.42/0.77 (step @p459 :rule bool-and-de-morgan :args (@t34 @t312 (and @t212 @t338))) % 0.42/0.77 (step @p460 :rule trans :premises (@p459 @p458)) % 0.42/0.77 (step @p461 :rule trans :premises (@p460 @p452)) % 0.42/0.77 (step @p462 :rule trans :premises (@p461 @p446)) % 0.42/0.77 (step @p463 :rule nary_cong :premises (@p462 @p445) :args ((or (not @t341) @t204))) % 0.42/0.77 (step @p464 :rule trans :premises (@p463 @p444)) % 0.42/0.77 (step @p465 :rule bool-impl-elim :args (@t341 @t204)) % 0.42/0.77 (step @p466 :rule trans :premises (@p465 @p464)) % 0.42/0.77 (step @p467 :rule cong :premises (@p466) :args ((forall @t141 (=> @t341 @t204)))) % 0.42/0.77 (step @p468 :rule trans :premises (@p467 @p443)) % 0.42/0.77 (step @p469 :rule aci_norm :args ((= (or @t327 false @t326) @t337))) % 0.42/0.77 (step @p470 :rule eq-refl :args (@t45)) % 0.42/0.77 (step @p471 :rule cong :premises (@p470) :args (@t342)) % 0.42/0.77 (step @p472 :rule trans :premises (@p471 @p342)) % 0.42/0.77 (step @p473 :rule nary_cong :premises (@p428 @p472 @p427) :args (@t343)) % 0.42/0.77 (step @p474 :rule trans :premises (@p473 @p469)) % 0.42/0.77 (step @p475 :rule quant-var-elim-eq :args ((= (forall @t210 (or (not (= @t205 @t45)) @t346 @t345 @t344)) @t343))) % 0.42/0.77 (step @p476 :rule refl :args (@t344)) % 0.42/0.77 (step @p477 :rule refl :args (@t345)) % 0.42/0.77 (step @p478 :rule refl :args (@t346)) % 0.42/0.77 (step @p479 :rule eq-symm :args (@t45 @t205)) % 0.42/0.77 (step @p480 :rule cong :premises (@p479) :args (@t345)) % 0.42/0.77 (step @p481 :rule nary_cong :premises (@p480 @p478 @p477 @p476) :args (@t347)) % 0.42/0.77 (step @p482 :rule aci_norm :args ((= @t348 @t347))) % 0.42/0.77 (step @p483 :rule trans :premises (@p482 @p481)) % 0.42/0.77 (step @p484 :rule cong :premises (@p483) :args ((forall @t210 @t348))) % 0.42/0.77 (step @p485 :rule trans :premises (@p484 @p475)) % 0.42/0.77 (step @p486 :rule trans :premises (@p485 @p474)) % 0.42/0.77 (step @p487 :rule aci_norm :args ((= (or @t346 (or @t345 @t344)) @t348))) % 0.42/0.77 (step @p488 :rule bool-and-de-morgan :args (@t207 @t206 true)) % 0.42/0.77 (step @p489 :rule nary_cong :premises (@p478 @p488) :args ((or @t346 (not (and @t207 @t206))))) % 0.42/0.77 (step @p490 :rule bool-and-de-morgan :args (@t208 @t207 (and @t206))) % 0.42/0.77 (step @p491 :rule trans :premises (@p490 @p489)) % 0.42/0.77 (step @p492 :rule trans :premises (@p491 @p487)) % 0.42/0.77 (step @p493 :rule cong :premises (@p492) :args (@t349)) % 0.42/0.77 (step @p494 :rule trans :premises (@p493 @p486)) % 0.42/0.77 (step @p495 :rule cong :premises (@p494) :args (@t350)) % 0.42/0.77 (step @p496 :rule exists-elim :args ((= @t211 @t350))) % 0.42/0.77 (step @p497 :rule trans :premises (@p496 @p495)) % 0.42/0.77 (step @p498 :rule refl :args (@t212)) % 0.42/0.77 (step @p499 :rule quant-var-elim-eq :args ((= (forall @t139 (or (not (= @t101 @t33)) @t353 @t352 @t351)) @t318))) % 0.42/0.77 (step @p500 :rule refl :args (@t351)) % 0.42/0.77 (step @p501 :rule refl :args (@t352)) % 0.42/0.77 (step @p502 :rule refl :args (@t353)) % 0.42/0.77 (step @p503 :rule eq-symm :args (@t33 @t101)) % 0.42/0.77 (step @p504 :rule cong :premises (@p503) :args (@t352)) % 0.42/0.77 (step @p505 :rule nary_cong :premises (@p504 @p502 @p501 @p500) :args (@t354)) % 0.42/0.77 (step @p506 :rule aci_norm :args ((= @t355 @t354))) % 0.42/0.77 (step @p507 :rule trans :premises (@p506 @p505)) % 0.42/0.77 (step @p508 :rule cong :premises (@p507) :args ((forall @t139 @t355))) % 0.42/0.77 (step @p509 :rule trans :premises (@p508 @p499)) % 0.42/0.77 (step @p510 :rule trans :premises (@p509 @p386)) % 0.42/0.77 (step @p511 :rule aci_norm :args ((= (or @t353 (or @t352 @t351)) @t355))) % 0.42/0.77 (step @p512 :rule bool-and-de-morgan :args (@t214 @t213 true)) % 0.42/0.77 (step @p513 :rule nary_cong :premises (@p502 @p512) :args ((or @t353 (not (and @t214 @t213))))) % 0.42/0.77 (step @p514 :rule bool-and-de-morgan :args (@t215 @t214 (and @t213))) % 0.42/0.77 (step @p515 :rule trans :premises (@p514 @p513)) % 0.42/0.77 (step @p516 :rule trans :premises (@p515 @p511)) % 0.42/0.77 (step @p517 :rule cong :premises (@p516) :args (@t356)) % 0.42/0.77 (step @p518 :rule trans :premises (@p517 @p510)) % 0.42/0.77 (step @p519 :rule cong :premises (@p518) :args (@t357)) % 0.42/0.77 (step @p520 :rule exists-elim :args ((= @t217 @t357))) % 0.42/0.77 (step @p521 :rule trans :premises (@p520 @p519)) % 0.42/0.77 (step @p522 :rule refl :args (@t34)) % 0.42/0.77 (step @p523 :rule nary_cong :premises (@p522 @p521 @p498 @p497) :args (@t218)) % 0.42/0.77 (step @p524 :rule cong :premises (@p523 @p426) :args (@t219)) % 0.42/0.77 (step @p525 :rule cong :premises (@p524) :args (@t220)) % 0.42/0.77 (step @p526 :rule trans :premises (@p525 @p468)) % 0.42/0.77 (step @p527 :rule cong :premises (@p526 @p420) :args (@t221)) % 0.42/0.77 (step @p528 :rule trans :premises (@p527 @p324)) % 0.42/0.77 (step @p529 :rule refl :args (@t31)) % 0.42/0.77 (step @p530 :rule cong :premises (@p529 @p528) :args (@t222)) % 0.42/0.77 (step @p531 :rule cong :premises (@p530) :args (@t223)) % 0.42/0.77 (step @p532 :rule trans :premises (@p531 @p323)) % 0.42/0.77 (step @p533 :rule eq_resolve :premises (@p175 @p532)) % 0.42/0.77 (step @p534 :rule aci_norm :args ((= @t358 @t289))) % 0.42/0.77 (step @p535 :rule cong :premises (@p338 @p534) :args (@t359)) % 0.42/0.77 (step @p536 :rule cong :premises (@p535) :args (@t360)) % 0.42/0.77 (step @p537 :rule cong :premises (@p536) :args (@t361)) % 0.42/0.77 (step @p538 :rule cong :premises (@p537) :args (@t362)) % 0.42/0.77 (step @p539 :rule cong :premises (@p538) :args (@t363)) % 0.42/0.77 (step @p540 :rule refl :args (@t364)) % 0.42/0.77 (step @p541 :rule nary_cong :premises (@p540 @p539) :args (@t365)) % 0.42/0.77 (step @p542 :rule cong :premises (@p541) :args (@t366)) % 0.42/0.77 (step @p543 :rule true_intro :premises (@p542)) % 0.42/0.77 (step @p544 :rule eq-symm :args (@t367 @t366)) % 0.42/0.77 (step @p545 :rule trans :premises (@p544 @p543)) % 0.42/0.77 (step @p546 :rule true_elim :premises (@p545)) % 0.42/0.77 (step @p547 :rule equiv_elim1 :premises (@p546)) % 0.42/0.77 (step @p548 :rule reordering :premises (@p547) :args ((or @t366 (not @t367)))) % 0.42/0.77 (step @p549 :rule chain_m_resolution :premises (@p548 @p533) :args (@t366 @t368 (@list @t367))) % 0.42/0.77 (step @p550 :rule bool-impl-elim :args (@t31 @t363)) % 0.42/0.77 (step @p551 :rule cong :premises (@p550) :args ((forall @t6 (=> @t31 @t363)))) % 0.42/0.77 (step @p552 :rule exists-elim :args ((= (exists @t62 @t360) @t363))) % 0.42/0.77 (step @p553 :rule aci_norm :args ((= (and @t227 (and @t271 @t87)) @t358))) % 0.42/0.77 (step @p554 :rule nary_cong :premises (@p328 @p327) :args ((and @t297 @t295))) % 0.42/0.77 (step @p555 :rule bool-or-de-morgan :args (@t296 @t294 false)) % 0.42/0.77 (step @p556 :rule trans :premises (@p555 @p554)) % 0.42/0.77 (step @p557 :rule refl :args (@t227)) % 0.42/0.77 (step @p558 :rule nary_cong :premises (@p557 @p556) :args (@t369)) % 0.42/0.77 (step @p559 :rule trans :premises (@p558 @p553)) % 0.42/0.77 (step @p560 :rule cong :premises (@p338 @p559) :args (@t370)) % 0.42/0.77 (step @p561 :rule cong :premises (@p560) :args ((forall @t57 @t370))) % 0.42/0.77 (step @p562 :rule quant-var-elim-eq :args ((= (forall @t55 (or @t304 @t327 @t302 @t326)) @t318))) % 0.42/0.77 (step @p563 :rule refl :args (@t326)) % 0.42/0.77 (step @p564 :rule refl :args (@t327)) % 0.42/0.77 (step @p565 :rule nary_cong :premises (@p353 @p564 @p350 @p563) :args (@t371)) % 0.42/0.77 (step @p566 :rule aci_norm :args ((= @t372 @t371))) % 0.42/0.77 (step @p567 :rule trans :premises (@p566 @p565)) % 0.42/0.77 (step @p568 :rule cong :premises (@p567) :args ((forall @t55 @t372))) % 0.42/0.77 (step @p569 :rule trans :premises (@p568 @p562)) % 0.42/0.77 (step @p570 :rule trans :premises (@p569 @p386)) % 0.42/0.77 (step @p571 :rule aci_norm :args ((= (or @t327 (or @t302 @t326)) @t372))) % 0.42/0.77 (step @p572 :rule bool-and-de-morgan :args (@t204 @t60 true)) % 0.42/0.77 (step @p573 :rule nary_cong :premises (@p564 @p572) :args ((or @t327 (not (and @t204 @t60))))) % 0.42/0.77 (step @p574 :rule bool-and-de-morgan :args (@t224 @t204 (and @t60))) % 0.42/0.77 (step @p575 :rule trans :premises (@p574 @p573)) % 0.42/0.77 (step @p576 :rule trans :premises (@p575 @p571)) % 0.42/0.77 (step @p577 :rule cong :premises (@p576) :args (@t373)) % 0.42/0.77 (step @p578 :rule trans :premises (@p577 @p570)) % 0.42/0.77 (step @p579 :rule cong :premises (@p578) :args (@t374)) % 0.42/0.77 (step @p580 :rule exists-elim :args ((= @t226 @t374))) % 0.42/0.77 (step @p581 :rule trans :premises (@p580 @p579)) % 0.42/0.77 (step @p582 :rule refl :args (@t227)) % 0.42/0.77 (step @p583 :rule nary_cong :premises (@p582 @p581) :args (@t228)) % 0.42/0.77 (step @p584 :rule cong :premises (@p415 @p583) :args (@t229)) % 0.42/0.77 (step @p585 :rule cong :premises (@p584) :args (@t230)) % 0.42/0.77 (step @p586 :rule trans :premises (@p585 @p561)) % 0.42/0.77 (step @p587 :rule cong :premises (@p586) :args (@t231)) % 0.42/0.77 (step @p588 :rule trans :premises (@p587 @p552)) % 0.42/0.77 (step @p589 :rule cong :premises (@p529 @p588) :args (@t232)) % 0.42/0.77 (step @p590 :rule cong :premises (@p589) :args (@t233)) % 0.42/0.77 (step @p591 :rule trans :premises (@p590 @p551)) % 0.42/0.77 (step @p592 :rule cong :premises (@p591) :args (@t234)) % 0.42/0.77 (step @p593 :rule eq_resolve :premises (@p176 @p592)) % 0.42/0.77 (step @p594 false :rule chain_m_resolution :premises (@p593 @p549) :args (false @t368 (@list @t366))) % 0.42/0.77 ) % 0.42/0.77 % SZS output end Proof % 0.42/0.77 % cvc5 exiting %------------------------------------------------------------------------------