%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU254+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:51:08 AM UTC 2026 % Result : Theorem 37.42s 37.64s % Output : Proof 37.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU254+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.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 16:48:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.40/0.56 %----Proving TF0_NAR, FOF, or CNF % 37.42/37.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 37.42/37.64 --- Run --no-e-matching --full-saturate-quant at 6... % 37.42/37.64 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 37.42/37.64 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 37.42/37.64 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 37.42/37.64 % SZS status Theorem % 37.42/37.64 % SZS output start Proof % 37.42/37.64 ( % 37.42/37.64 (declare-sort $$unsorted 0) % 37.42/37.64 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.connected (-> $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.empty_set $$unsorted) % 37.42/37.64 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.empty (-> $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.function (-> $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.transitive (-> $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.relation (-> $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 37.42/37.64 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.42/37.64 (define @t1 () (@var "A" $$unsorted)) % 37.42/37.64 (define @t2 () (@var "B" $$unsorted)) % 37.42/37.64 (define @t3 () (tptp.in @t2 @t1)) % 37.42/37.64 (define @t4 () (not @t3)) % 37.42/37.64 (define @t5 () (tptp.in @t1 @t2)) % 37.42/37.64 (define @t6 () (@list @t1 @t2)) % 37.42/37.64 (define @t7 () (tptp.proper_subset @t2 @t1)) % 37.42/37.64 (define @t8 () (tptp.proper_subset @t1 @t2)) % 37.42/37.64 (define @t9 () (tptp.function @t1)) % 37.42/37.64 (define @t10 () (tptp.empty @t1)) % 37.42/37.64 (define @t11 () (@list @t1)) % 37.42/37.64 (define @t12 () (tptp.epsilon_connected @t1)) % 37.42/37.64 (define @t13 () (tptp.epsilon_transitive @t1)) % 37.42/37.64 (define @t14 () (and @t13 @t12)) % 37.42/37.64 (define @t15 () (tptp.ordinal @t1)) % 37.42/37.64 (define @t16 () (tptp.relation @t1)) % 37.42/37.64 (define @t17 () (tptp.one_to_one @t1)) % 37.42/37.64 (define @t18 () (and @t16 @t9 @t17)) % 37.42/37.64 (define @t19 () (and @t16 @t10 @t9)) % 37.42/37.64 (define @t20 () (and @t13 @t12 @t15)) % 37.42/37.64 (define @t21 () (tptp.unordered_pair @t1 @t2)) % 37.42/37.64 (define @t22 () (tptp.set_union2 @t2 @t1)) % 37.42/37.64 (define @t23 () (tptp.set_union2 @t1 @t2)) % 37.42/37.64 (define @t24 () (tptp.set_intersection2 @t1 @t2)) % 37.42/37.64 (define @t25 () (tptp.ordinal_subset @t1 @t2)) % 37.42/37.64 (define @t26 () (tptp.ordinal @t2)) % 37.42/37.64 (define @t27 () (and @t15 @t26)) % 37.42/37.64 (define @t28 () (@var "D" $$unsorted)) % 37.42/37.64 (define @t29 () (@var "C" $$unsorted)) % 37.42/37.64 (define @t30 () (= @t29 @t28)) % 37.42/37.64 (define @t31 () (tptp.in @t29 @t1)) % 37.42/37.64 (define @t32 () (tptp.ordered_pair @t29 @t28)) % 37.42/37.64 (define @t33 () (tptp.in @t32 @t2)) % 37.42/37.64 (define @t34 () (@list @t29 @t28)) % 37.42/37.64 (define @t35 () (tptp.identity_relation @t1)) % 37.42/37.64 (define @t36 () (= @t2 @t35)) % 37.42/37.64 (define @t37 () (tptp.relation @t2)) % 37.42/37.64 (define @t38 () (tptp.subset @t2 @t1)) % 37.42/37.64 (define @t39 () (tptp.subset @t1 @t2)) % 37.42/37.64 (define @t40 () (= @t1 @t2)) % 37.42/37.64 (define @t41 () (@var "E" $$unsorted)) % 37.42/37.64 (define @t42 () (tptp.ordered_pair @t28 @t41)) % 37.42/37.64 (define @t43 () (tptp.in @t42 @t1)) % 37.42/37.64 (define @t44 () (tptp.in @t28 @t2)) % 37.42/37.64 (define @t45 () (tptp.in @t42 @t29)) % 37.42/37.64 (define @t46 () (@list @t28 @t41)) % 37.42/37.64 (define @t47 () (tptp.relation_dom_restriction @t1 @t2)) % 37.42/37.64 (define @t48 () (tptp.relation @t29)) % 37.42/37.64 (define @t49 () (@list @t2 @t29)) % 37.42/37.64 (define @t50 () (tptp.in @t41 @t2)) % 37.42/37.64 (define @t51 () (tptp.relation_dom @t1)) % 37.42/37.64 (define @t52 () (@list @t41)) % 37.42/37.64 (define @t53 () (tptp.in @t28 @t29)) % 37.42/37.64 (define @t54 () (@list @t28)) % 37.42/37.64 (define @t55 () (= @t29 (tptp.relation_image @t1 @t2))) % 37.42/37.64 (define @t56 () (and @t16 @t9)) % 37.42/37.64 (define @t57 () (tptp.in @t41 @t1)) % 37.42/37.64 (define @t58 () (tptp.relation_rng_restriction @t1 @t2)) % 37.42/37.64 (define @t59 () (@list @t29)) % 37.42/37.64 (define @t60 () (tptp.relation_field @t1)) % 37.42/37.64 (define @t61 () (tptp.antisymmetric @t1)) % 37.42/37.64 (define @t62 () (tptp.apply @t1 @t28)) % 37.42/37.64 (define @t63 () (tptp.in @t28 @t51)) % 37.42/37.64 (define @t64 () (= @t29 (tptp.relation_inverse_image @t1 @t2))) % 37.42/37.64 (define @t65 () (tptp.connected @t1)) % 37.42/37.64 (define @t66 () (tptp.transitive @t1)) % 37.42/37.64 (define @t67 () (tptp.in @t41 @t28)) % 37.42/37.64 (define @t68 () (@list @t1 @t2 @t29 @t28)) % 37.42/37.64 (define @t69 () (tptp.singleton @t1)) % 37.42/37.64 (define @t70 () (tptp.succ @t1)) % 37.42/37.64 (define @t71 () (@list @t2)) % 37.42/37.64 (define @t72 () (tptp.in @t29 @t2)) % 37.42/37.64 (define @t73 () (tptp.is_reflexive_in @t1 @t2)) % 37.42/37.64 (define @t74 () (= @t2 tptp.empty_set)) % 37.42/37.64 (define @t75 () (= @t2 (tptp.set_meet @t1))) % 37.42/37.64 (define @t76 () (= @t1 tptp.empty_set)) % 37.42/37.64 (define @t77 () (tptp.in @t29 @t28)) % 37.42/37.64 (define @t78 () (tptp.in @t28 @t1)) % 37.42/37.64 (define @t79 () (not @t76)) % 37.42/37.64 (define @t80 () (= @t28 @t2)) % 37.42/37.64 (define @t81 () (tptp.powerset @t1)) % 37.42/37.64 (define @t82 () (tptp.in @t32 @t1)) % 37.42/37.64 (define @t83 () (tptp.empty @t2)) % 37.42/37.64 (define @t84 () (tptp.element @t2 @t1)) % 37.42/37.64 (define @t85 () (not @t10)) % 37.42/37.64 (define @t86 () (@list @t1 @t2 @t29)) % 37.42/37.64 (define @t87 () (not @t74)) % 37.42/37.64 (define @t88 () (tptp.well_founded_relation @t1)) % 37.42/37.64 (define @t89 () (@var "F" $$unsorted)) % 37.42/37.64 (define @t90 () (tptp.cartesian_product2 @t1 @t2)) % 37.42/37.64 (define @t91 () (not @t72)) % 37.42/37.64 (define @t92 () (= @t2 @t29)) % 37.42/37.64 (define @t93 () (not @t92)) % 37.42/37.64 (define @t94 () (tptp.in @t2 @t29)) % 37.42/37.64 (define @t95 () (forall @t59 (=> @t31 @t72))) % 37.42/37.64 (define @t96 () (= @t39 @t95)) % 37.42/37.64 (define @t97 () (forall @t6 @t96)) % 37.42/37.64 (define @t98 () (= @t29 tptp.empty_set)) % 37.42/37.64 (define @t99 () (tptp.subset @t29 @t2)) % 37.42/37.64 (define @t100 () (tptp.is_well_founded_in @t1 @t2)) % 37.42/37.64 (define @t101 () (forall @t54 (= @t53 (and @t78 @t44)))) % 37.42/37.64 (define @t102 () (= (= @t29 @t24) @t101)) % 37.42/37.64 (define @t103 () (forall @t86 @t102)) % 37.42/37.64 (define @t104 () (tptp.apply @t1 @t2)) % 37.42/37.64 (define @t105 () (= @t29 @t104)) % 37.42/37.64 (define @t106 () (tptp.in @t2 @t51)) % 37.42/37.64 (define @t107 () (tptp.ordered_pair @t2 @t29)) % 37.42/37.64 (define @t108 () (tptp.in @t107 @t1)) % 37.42/37.64 (define @t109 () (tptp.in (tptp.ordered_pair @t28 @t29) @t1)) % 37.42/37.64 (define @t110 () (tptp.is_antisymmetric_in @t1 @t2)) % 37.42/37.64 (define @t111 () (tptp.cast_to_subset @t1)) % 37.42/37.64 (define @t112 () (tptp.union @t1)) % 37.42/37.64 (define @t113 () (tptp.reflexive @t1)) % 37.42/37.64 (define @t114 () (tptp.well_ordering @t1)) % 37.42/37.64 (define @t115 () (tptp.set_difference @t1 @t2)) % 37.42/37.64 (define @t116 () (and @t63 (= @t29 @t62))) % 37.42/37.64 (define @t117 () (tptp.relation_rng @t1)) % 37.42/37.64 (define @t118 () (= @t2 @t117)) % 37.42/37.64 (define @t119 () (tptp.subset_complement @t1 @t2)) % 37.42/37.64 (define @t120 () (tptp.element @t2 @t81)) % 37.42/37.64 (define @t121 () (tptp.ordered_pair @t1 @t2)) % 37.42/37.64 (define @t122 () (tptp.is_connected_in @t1 @t2)) % 37.42/37.64 (define @t123 () (tptp.is_transitive_in @t1 @t2)) % 37.42/37.64 (define @t124 () (tptp.being_limit_ordinal @t1)) % 37.42/37.64 (define @t125 () (not @t82)) % 37.42/37.64 (define @t126 () (tptp.cartesian_product2 @t2 @t2)) % 37.42/37.64 (define @t127 () (tptp.relation_restriction @t1 @t2)) % 37.42/37.64 (define @t128 () (forall @t71 (= @t127 (tptp.set_intersection2 @t1 @t126)))) % 37.42/37.64 (define @t129 () (forall @t11 (=> @t16 @t128))) % 37.42/37.64 (define @t130 () (tptp.relation_inverse @t1)) % 37.42/37.64 (define @t131 () (tptp.disjoint @t1 @t2)) % 37.42/37.64 (define @t132 () (tptp.relation_composition @t1 @t2)) % 37.42/37.64 (define @t133 () (tptp.complements_of_subsets @t1 @t2)) % 37.42/37.64 (define @t134 () (tptp.powerset @t81)) % 37.42/37.64 (define @t135 () (tptp.element @t2 @t134)) % 37.42/37.64 (define @t136 () (not @t40)) % 37.42/37.64 (define @t137 () (tptp.function_inverse @t1)) % 37.42/37.64 (define @t138 () (tptp.relation @t127)) % 37.42/37.64 (define @t139 () (forall @t6 (=> @t16 @t138))) % 37.42/37.64 (define @t140 () (tptp.relation @t130)) % 37.42/37.64 (define @t141 () (tptp.relation @t132)) % 37.42/37.64 (define @t142 () (and @t16 @t37)) % 37.42/37.64 (define @t143 () (tptp.union_of_subsets @t1 @t2)) % 37.42/37.64 (define @t144 () (tptp.relation @t35)) % 37.42/37.64 (define @t145 () (tptp.meet_of_subsets @t1 @t2)) % 37.42/37.64 (define @t146 () (tptp.subset_difference @t1 @t2 @t29)) % 37.42/37.64 (define @t147 () (tptp.element @t29 @t81)) % 37.42/37.64 (define @t148 () (and @t120 @t147)) % 37.42/37.64 (define @t149 () (tptp.relation @t47)) % 37.42/37.64 (define @t150 () (tptp.relation @t58)) % 37.42/37.64 (define @t151 () (tptp.relation_composition @t2 @t1)) % 37.42/37.64 (define @t152 () (and @t10 @t37)) % 37.42/37.64 (define @t153 () (tptp.relation_empty_yielding tptp.empty_set)) % 37.42/37.64 (define @t154 () (tptp.relation tptp.empty_set)) % 37.42/37.64 (define @t155 () (tptp.empty tptp.empty_set)) % 37.42/37.64 (define @t156 () (tptp.relation_empty_yielding @t1)) % 37.42/37.64 (define @t157 () (and @t16 @t156)) % 37.42/37.64 (define @t158 () (tptp.function @t2)) % 37.42/37.64 (define @t159 () (not (tptp.empty @t70))) % 37.42/37.64 (define @t160 () (not @t83)) % 37.42/37.64 (define @t161 () (and @t37 @t158)) % 37.42/37.64 (define @t162 () (tptp.empty @t51)) % 37.42/37.64 (define @t163 () (and @t85 @t16)) % 37.42/37.64 (define @t164 () (tptp.empty @t117)) % 37.42/37.64 (define @t165 () (tptp.in @t2 @t60)) % 37.42/37.64 (define @t166 () (tptp.disjoint @t69 @t2)) % 37.42/37.64 (define @t167 () (not @t5)) % 37.42/37.64 (define @t168 () (tptp.relation_dom @t2)) % 37.42/37.64 (define @t169 () (tptp.ordered_pair @t2 @t28)) % 37.42/37.64 (define @t170 () (tptp.in @t169 @t1)) % 37.42/37.64 (define @t171 () (and @t108 @t82)) % 37.42/37.64 (define @t172 () (@list @t2 @t29 @t28)) % 37.42/37.64 (define @t173 () (forall @t172 (=> @t171 @t170))) % 37.42/37.64 (define @t174 () (= @t66 @t173)) % 37.42/37.64 (define @t175 () (=> @t16 @t174)) % 37.42/37.64 (define @t176 () (forall @t11 @t175)) % 37.42/37.64 (define @t177 () (tptp.in (tptp.ordered_pair @t29 @t2) @t1)) % 37.42/37.64 (define @t178 () (not @t108)) % 37.42/37.64 (define @t179 () (tptp.singleton @t2)) % 37.42/37.64 (define @t180 () (tptp.union @t2)) % 37.42/37.64 (define @t181 () (tptp.in @t1 @t29)) % 37.42/37.64 (define @t182 () (tptp.element @t1 (tptp.powerset @t2))) % 37.42/37.64 (define @t183 () (tptp.relation_dom @t29)) % 37.42/37.64 (define @t184 () (tptp.relation_dom_restriction @t29 @t1)) % 37.42/37.64 (define @t185 () (tptp.in @t2 (tptp.relation_dom @t184))) % 37.42/37.64 (define @t186 () (and @t48 (tptp.function @t29))) % 37.42/37.64 (define @t187 () (tptp.set_difference @t2 @t29)) % 37.42/37.64 (define @t188 () (= @t1 @t29)) % 37.42/37.64 (define @t189 () (tptp.relation_rng @t29)) % 37.42/37.64 (define @t190 () (tptp.relation_rng @t58)) % 37.42/37.64 (define @t191 () (tptp.relation_rng @t2)) % 37.42/37.64 (define @t192 () (tptp.cartesian_product2 @t1 @t29)) % 37.42/37.64 (define @t193 () (forall @t59 (not (and @t99 (not (tptp.are_equipotent @t29 @t2)) @t91)))) % 37.42/37.64 (define @t194 () (tptp.powerset @t29)) % 37.42/37.64 (define @t195 () (forall @t34 (=> (and @t72 (tptp.subset @t28 @t29)) @t44))) % 37.42/37.64 (define @t196 () (tptp.relation_dom_restriction @t29 @t2)) % 37.42/37.64 (define @t197 () (tptp.relation_image @t2 @t1)) % 37.42/37.64 (define @t198 () (tptp.relation_inverse_image @t2 @t1)) % 37.42/37.64 (define @t199 () (tptp.relation_image @t2 @t198)) % 37.42/37.64 (define @t200 () (tptp.set_intersection2 @t168 @t1)) % 37.42/37.64 (define @t201 () (tptp.subset @t1 @t191)) % 37.42/37.64 (define @t202 () (tptp.relation_rng @t132)) % 37.42/37.64 (define @t203 () (tptp.relation_inverse_image @t29 @t2)) % 37.42/37.64 (define @t204 () (tptp.relation_restriction @t29 @t2)) % 37.42/37.64 (define @t205 () (tptp.relation_restriction @t2 @t1)) % 37.42/37.64 (define @t206 () (tptp.relation_dom_restriction @t2 @t1)) % 37.42/37.64 (define @t207 () (tptp.relation_field @t29)) % 37.42/37.64 (define @t208 () (tptp.in @t1 @t207)) % 37.42/37.64 (define @t209 () (tptp.set_intersection2 @t2 @t29)) % 37.42/37.64 (define @t210 () (tptp.subset @t1 @t29)) % 37.42/37.64 (define @t211 () (tptp.element @t1 @t2)) % 37.42/37.64 (define @t212 () (tptp.in @t1 @t183)) % 37.42/37.64 (define @t213 () (tptp.in @t121 @t29)) % 37.42/37.64 (define @t214 () (tptp.relation_field @t205)) % 37.42/37.64 (define @t215 () (and (tptp.subset @t214 (tptp.relation_field @t2)) (tptp.subset @t214 @t1))) % 37.42/37.64 (define @t216 () (forall @t6 (=> @t37 @t215))) % 37.42/37.64 (define @t217 () (tptp.apply @t29 @t1)) % 37.42/37.64 (define @t218 () (tptp.relation_composition @t29 @t2)) % 37.42/37.64 (define @t219 () (tptp.in @t1 (tptp.relation_dom @t218))) % 37.42/37.64 (define @t220 () (tptp.transitive @t205)) % 37.42/37.64 (define @t221 () (tptp.transitive @t2)) % 37.42/37.64 (define @t222 () (=> @t221 @t220)) % 37.42/37.64 (define @t223 () (forall @t6 (=> @t37 @t222))) % 37.42/37.64 (define @t224 () (not @t223)) % 37.42/37.64 (define @t225 () (and @t208 (tptp.in @t2 @t207))) % 37.42/37.64 (define @t226 () (=> @t213 @t225)) % 37.42/37.64 (define @t227 () (forall @t86 (=> @t48 @t226))) % 37.42/37.64 (define @t228 () (tptp.apply @t2 @t29)) % 37.42/37.64 (define @t229 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 37.42/37.64 (define @t230 () (and @t31 @t72)) % 37.42/37.64 (define @t231 () (not @t131)) % 37.42/37.64 (define @t232 () (tptp.succ @t2)) % 37.42/37.64 (define @t233 () (= @t1 @t232)) % 37.42/37.64 (define @t234 () (tptp.subset_complement @t1 @t29)) % 37.42/37.64 (define @t235 () (tptp.disjoint @t2 @t29)) % 37.42/37.64 (define @t236 () (tptp.relation_dom @t132)) % 37.42/37.64 (define @t237 () (tptp.element @t2 @t194)) % 37.42/37.64 (define @t238 () (tptp.in @t29 @t24)) % 37.42/37.64 (define @t239 () (and (tptp.in @t29 @t117) (= @t28 @t228))) % 37.42/37.64 (define @t240 () (tptp.function_inverse @t2)) % 37.42/37.64 (define @t241 () (= @t117 tptp.empty_set)) % 37.42/37.64 (define @t242 () (= @t51 tptp.empty_set)) % 37.42/37.64 (define @t243 () (= (tptp.apply @t184 @t2) (tptp.apply @t29 @t2))) % 37.42/37.64 (define @t244 () (= @t69 (tptp.unordered_pair @t2 @t29))) % 37.42/37.64 (define @t245 () (not @t221)) % 37.42/37.64 (define @t246 () (not @t37)) % 37.42/37.64 (define @t247 () (or @t246 @t245 @t220)) % 37.42/37.64 (define @t248 () (forall @t6 @t247)) % 37.42/37.64 (define @t249 () (@quantifiers_skolemize @t248 0)) % 37.42/37.64 (define @t250 () (@quantifiers_skolemize @t248 1)) % 37.42/37.64 (define @t251 () (tptp.relation_restriction @t250 @t249)) % 37.42/37.64 (define @t252 () (forall @t172 (or (not (tptp.in @t107 @t251)) (not (tptp.in @t32 @t251)) (tptp.in @t169 @t251)))) % 37.42/37.64 (define @t253 () (@quantifiers_skolemize @t252 1)) % 37.42/37.64 (define @t254 () (@quantifiers_skolemize @t252 0)) % 37.42/37.64 (define @t255 () (= @t24 @t29)) % 37.42/37.64 (define @t256 () (tptp.cartesian_product2 @t249 @t249)) % 37.42/37.64 (define @t257 () (forall @t54 (= (tptp.in @t28 @t251) (and (tptp.in @t28 @t250) (tptp.in @t28 @t256))))) % 37.42/37.64 (define @t258 () (tptp.set_intersection2 @t250 @t256)) % 37.42/37.64 (define @t259 () (= @t251 @t258)) % 37.42/37.64 (define @t260 () (= @t257 (= @t258 @t251))) % 37.42/37.64 (define @t261 () (forall @t86 (= @t101 @t255))) % 37.42/37.64 (define @t262 () (= @t259 @t257)) % 37.42/37.64 (define @t263 () (@list false)) % 37.42/37.64 (define @t264 () (@var "BOUND_VARIABLE_9903" $$unsorted)) % 37.42/37.64 (define @t265 () (= (tptp.relation_restriction @t1 @t264) (tptp.set_intersection2 @t1 (tptp.cartesian_product2 @t264 @t264)))) % 37.42/37.64 (define @t266 () (not @t16)) % 37.42/37.64 (define @t267 () (or @t266 @t265)) % 37.42/37.64 (define @t268 () (@list @t264)) % 37.42/37.64 (define @t269 () (forall @t268 @t267)) % 37.42/37.64 (define @t270 () (forall @t268 @t265)) % 37.42/37.64 (define @t271 () (or @t266 @t270)) % 37.42/37.64 (define @t272 () (@list @t250 @t249)) % 37.42/37.64 (define @t273 () (tptp.relation @t250)) % 37.42/37.64 (define @t274 () (tptp.transitive @t251)) % 37.42/37.64 (define @t275 () (tptp.transitive @t250)) % 37.42/37.64 (define @t276 () (not @t275)) % 37.42/37.64 (define @t277 () (not @t273)) % 37.42/37.64 (define @t278 () (or @t277 @t276 @t274)) % 37.42/37.64 (define @t279 () (@list true)) % 37.42/37.64 (define @t280 () (@list @t278)) % 37.42/37.64 (define @t281 () (or @t277 @t259)) % 37.42/37.64 (define @t282 () (@list false false)) % 37.42/37.64 (define @t283 () (tptp.ordered_pair @t254 @t253)) % 37.42/37.64 (define @t284 () (or @t178 @t125 @t170)) % 37.42/37.64 (define @t285 () (= @t66 (forall @t172 @t284))) % 37.42/37.64 (define @t286 () (tptp.relation @t251)) % 37.42/37.64 (define @t287 () (or @t277 @t286)) % 37.42/37.64 (define @t288 () (= @t274 @t252)) % 37.42/37.64 (define @t289 () (not @t286)) % 37.42/37.64 (define @t290 () (or @t289 @t288)) % 37.42/37.64 (define @t291 () (not @t252)) % 37.42/37.64 (define @t292 () (@list true false)) % 37.42/37.64 (define @t293 () (tptp.in @t283 @t251)) % 37.42/37.64 (define @t294 () (@quantifiers_skolemize @t252 2)) % 37.42/37.64 (define @t295 () (tptp.ordered_pair @t254 @t294)) % 37.42/37.64 (define @t296 () (tptp.in @t295 @t251)) % 37.42/37.64 (define @t297 () (tptp.ordered_pair @t253 @t294)) % 37.42/37.64 (define @t298 () (tptp.in @t297 @t251)) % 37.42/37.64 (define @t299 () (not @t298)) % 37.42/37.64 (define @t300 () (not @t293)) % 37.42/37.64 (define @t301 () (or @t300 @t299 @t296)) % 37.42/37.64 (define @t302 () (@list @t301)) % 37.42/37.64 (define @t303 () (tptp.in @t283 @t256)) % 37.42/37.64 (define @t304 () (tptp.in @t283 @t250)) % 37.42/37.64 (define @t305 () (and @t304 @t303)) % 37.42/37.64 (define @t306 () (= @t293 @t305)) % 37.42/37.64 (define @t307 () (not @t305)) % 37.42/37.64 (define @t308 () (@list @t305)) % 37.42/37.64 (define @t309 () (tptp.in @t254 @t249)) % 37.42/37.64 (define @t310 () (and @t309 (tptp.in @t253 @t249))) % 37.42/37.64 (define @t311 () (= @t303 @t310)) % 37.42/37.64 (define @t312 () (forall @t172 (or (not (tptp.in @t107 @t250)) (not (tptp.in @t32 @t250)) (tptp.in @t169 @t250)))) % 37.42/37.64 (define @t313 () (= @t275 @t312)) % 37.42/37.64 (define @t314 () (or @t277 @t313)) % 37.42/37.64 (define @t315 () (tptp.in @t297 @t250)) % 37.42/37.64 (define @t316 () (and @t315 (tptp.in @t297 @t256))) % 37.42/37.64 (define @t317 () (= @t298 @t316)) % 37.42/37.64 (define @t318 () (tptp.in @t295 @t250)) % 37.42/37.64 (define @t319 () (not @t315)) % 37.42/37.64 (define @t320 () (not @t304)) % 37.42/37.64 (define @t321 () (or @t320 @t319 @t318)) % 37.42/37.64 (define @t322 () (@list false false false)) % 37.42/37.64 (define @t323 () (tptp.in @t295 @t256)) % 37.42/37.64 (define @t324 () (and @t318 @t323)) % 37.42/37.64 (define @t325 () (= @t296 @t324)) % 37.42/37.64 (define @t326 () (not @t324)) % 37.42/37.64 (define @t327 () (tptp.in @t294 @t249)) % 37.42/37.64 (define @t328 () (and @t309 @t327)) % 37.42/37.64 (define @t329 () (= @t323 @t328)) % 37.42/37.64 (define @t330 () (not @t328)) % 37.42/37.64 (define @t331 () (tptp.relation_field @t251)) % 37.42/37.64 (define @t332 () (tptp.subset @t331 @t249)) % 37.42/37.64 (define @t333 () (and (tptp.subset @t331 (tptp.relation_field @t250)) @t332)) % 37.42/37.64 (define @t334 () (or @t277 @t333)) % 37.42/37.64 (define @t335 () (forall @t59 (or (not (tptp.in @t29 @t331)) (tptp.in @t29 @t249)))) % 37.42/37.64 (define @t336 () (= @t332 @t335)) % 37.42/37.64 (define @t337 () (not @t213)) % 37.42/37.64 (define @t338 () (not @t48)) % 37.42/37.64 (define @t339 () (tptp.in @t294 @t331)) % 37.42/37.64 (define @t340 () (and (tptp.in @t253 @t331) @t339)) % 37.42/37.64 (define @t341 () (or @t289 @t299 @t340)) % 37.42/37.64 (define @t342 () (not @t339)) % 37.42/37.64 (define @t343 () (or @t342 @t327)) % 37.42/37.64 (assume @p1 (forall @t6 (=> @t5 @t4))) % 37.42/37.64 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 37.42/37.64 (assume @p3 (forall @t11 (=> @t10 @t9))) % 37.42/37.64 (assume @p4 (forall @t11 (=> @t15 @t14))) % 37.42/37.64 (assume @p5 (forall @t11 (=> @t10 @t16))) % 37.42/37.64 (assume @p6 (forall @t11 (=> @t19 @t18))) % 37.42/37.64 (assume @p7 (forall @t11 (=> @t14 @t15))) % 37.42/37.64 (assume @p8 (forall @t11 (=> @t10 @t20))) % 37.42/37.64 (assume @p9 (forall @t6 (= @t21 (tptp.unordered_pair @t2 @t1)))) % 37.42/37.64 (assume @p10 (forall @t6 (= @t23 @t22))) % 37.42/37.64 (assume @p11 (forall @t6 (= @t24 (tptp.set_intersection2 @t2 @t1)))) % 37.42/37.64 (assume @p12 (forall @t6 (=> @t27 (or @t25 (tptp.ordinal_subset @t2 @t1))))) % 37.42/37.64 (assume @p13 (forall @t6 (=> @t37 (= @t36 (forall @t34 (= @t33 (and @t31 @t30))))))) % 37.42/37.64 (assume @p14 (forall @t6 (= @t40 (and @t39 @t38)))) % 37.42/37.64 (assume @p15 (forall @t11 (=> @t16 (forall @t49 (=> @t48 (= (= @t29 @t47) (forall @t46 (= @t45 (and @t44 @t43))))))))) % 37.42/37.64 (assume @p16 (forall @t11 (=> @t56 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in @t41 @t51) @t50 (= @t28 (tptp.apply @t1 @t41))))))))))) % 37.42/37.64 (assume @p17 (forall @t6 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t58) (forall @t46 (= @t45 (and @t57 (tptp.in @t42 @t2)))))))))) % 37.42/37.64 (assume @p18 (forall @t11 (=> @t16 (= @t61 (tptp.is_antisymmetric_in @t1 @t60))))) % 37.42/37.64 (assume @p19 (forall @t11 (=> @t56 (forall @t49 (= @t64 (forall @t54 (= @t53 (and @t63 (tptp.in @t62 @t2))))))))) % 37.42/37.64 (assume @p20 (forall @t11 (=> @t16 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in (tptp.ordered_pair @t41 @t28) @t1) @t50))))))))) % 37.42/37.64 (assume @p21 (forall @t11 (=> @t16 (forall @t49 (= @t64 (forall @t54 (= @t53 (exists @t52 (and @t43 @t50))))))))) % 37.42/37.64 (assume @p22 (forall @t11 (=> @t16 (= @t65 (tptp.is_connected_in @t1 @t60))))) % 37.42/37.64 (assume @p23 (forall @t11 (=> @t16 (= @t66 (tptp.is_transitive_in @t1 @t60))))) % 37.42/37.64 (assume @p24 (forall @t68 (= (= @t28 (tptp.unordered_triple @t1 @t2 @t29)) (forall @t52 (= @t67 (not (and (not (= @t41 @t1)) (not (= @t41 @t2)) (not (= @t41 @t29))))))))) % 37.42/37.64 (assume @p25 (forall @t11 (= @t70 (tptp.set_union2 @t1 @t69)))) % 37.42/37.64 (assume @p26 (forall @t11 (= @t16 (forall @t71 (not (and @t3 (forall @t34 (not (= @t2 @t32))))))))) % 37.42/37.64 (assume @p27 (forall @t11 (=> @t16 (forall @t71 (= @t73 (forall @t59 (=> @t72 (tptp.in (tptp.ordered_pair @t29 @t29) @t1)))))))) % 37.42/37.64 (assume @p28 (forall @t6 (and (=> @t79 (= @t75 (forall @t59 (= @t72 (forall @t54 (=> @t78 @t77)))))) (=> @t76 (= @t75 @t74))))) % 37.42/37.64 (assume @p29 (forall @t6 (= (= @t2 @t69) (forall @t59 (= @t72 (= @t29 @t1)))))) % 37.42/37.64 (assume @p30 (forall @t11 (=> @t16 (forall @t49 (= (= @t29 (tptp.fiber @t1 @t2)) (forall @t54 (= @t53 (and (not @t80) (tptp.in (tptp.ordered_pair @t28 @t2) @t1))))))))) % 37.42/37.64 (assume @p31 (forall @t11 (= @t76 (forall @t71 @t4)))) % 37.42/37.64 (assume @p32 (forall @t6 (= (= @t2 @t81) (forall @t59 (= @t72 (tptp.subset @t29 @t1)))))) % 37.42/37.64 (assume @p33 (forall @t11 (= @t13 (forall @t71 (=> @t3 @t38))))) % 37.42/37.64 (assume @p34 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t40 (forall @t34 (= @t82 @t33)))))))) % 37.42/37.64 (assume @p35 (forall @t6 (and (=> @t85 (= @t84 @t3)) (=> @t10 (= @t84 @t83))))) % 37.42/37.64 (assume @p36 (forall @t86 (= (= @t29 @t21) (forall @t54 (= @t53 (or (= @t28 @t1) @t80)))))) % 37.42/37.64 (assume @p37 (forall @t11 (=> @t16 (= @t88 (forall @t71 (not (and (tptp.subset @t2 @t60) @t87 (forall @t59 (not (and @t72 (tptp.disjoint (tptp.fiber @t1 @t29) @t2))))))))))) % 37.42/37.64 (assume @p38 (forall @t86 (= (= @t29 @t23) (forall @t54 (= @t53 (or @t78 @t44)))))) % 37.42/37.64 (assume @p39 (forall @t86 (= (= @t29 @t90) (forall @t54 (= @t53 (exists (@list @t41 @t89) (and @t57 (tptp.in @t89 @t2) (= @t28 (tptp.ordered_pair @t41 @t89))))))))) % 37.42/37.64 (assume @p40 (forall @t11 (= @t12 (forall @t49 (not (and @t3 @t31 (not @t94) @t93 @t91)))))) % 37.42/37.64 (assume @p41 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t39 (forall @t34 (=> @t82 @t33)))))))) % 37.42/37.64 (assume @p42 @t97) % 37.42/37.64 (assume @p43 (forall @t11 (=> @t16 (forall @t71 (= @t100 (forall @t59 (not (and @t99 (not @t98) (forall @t54 (not (and @t53 (tptp.disjoint (tptp.fiber @t1 @t28) @t29)))))))))))) % 37.42/37.64 (assume @p44 @t103) % 37.42/37.64 (assume @p45 (forall @t11 (=> @t56 (forall @t49 (and (=> @t106 (= @t105 @t108)) (=> (not @t106) (= @t105 @t98))))))) % 37.42/37.64 (assume @p46 (forall @t11 (= @t15 @t14))) % 37.42/37.64 (assume @p47 (forall @t11 (=> @t16 (forall @t71 (= (= @t2 @t51) (forall @t59 (= @t72 (exists @t54 @t82)))))))) % 37.42/37.64 (assume @p48 (forall @t11 (=> @t16 (forall @t71 (= @t110 (forall @t34 (=> (and @t72 @t44 @t82 @t109) @t30))))))) % 37.42/37.64 (assume @p49 (forall @t11 (= @t111 @t1))) % 37.42/37.64 (assume @p50 (forall @t6 (= (= @t2 @t112) (forall @t59 (= @t72 (exists @t54 (and @t77 @t78))))))) % 37.42/37.64 (assume @p51 (forall @t11 (=> @t16 (= @t114 (and @t113 @t66 @t61 @t65 @t88))))) % 37.42/37.64 (assume @p52 (forall @t86 (= (= @t29 @t115) (forall @t54 (= @t53 (and @t78 (not @t44))))))) % 37.42/37.64 (assume @p53 (forall @t11 (=> @t56 (forall @t71 (= @t118 (forall @t59 (= @t72 (exists @t54 @t116)))))))) % 37.42/37.64 (assume @p54 (forall @t11 (=> @t16 (forall @t71 (= @t118 (forall @t59 (= @t72 (exists @t54 @t109)))))))) % 37.42/37.64 (assume @p55 (forall @t6 (=> @t120 (= @t119 @t115)))) % 37.42/37.64 (assume @p56 (forall @t6 (= @t121 (tptp.unordered_pair @t21 @t69)))) % 37.42/37.64 (assume @p57 (forall @t11 (=> @t16 (forall @t71 (= (tptp.well_orders @t1 @t2) (and @t73 @t123 @t110 @t122 @t100)))))) % 37.42/37.64 (assume @p58 (forall @t11 (= @t124 (= @t1 @t112)))) % 37.42/37.64 (assume @p59 (forall @t11 (=> @t16 (= @t60 (tptp.set_union2 @t51 @t117))))) % 37.42/37.64 (assume @p60 (forall @t11 (=> @t16 (forall @t71 (= @t122 (forall @t34 (not (and @t72 @t44 (not @t30) @t125 (not @t109))))))))) % 37.42/37.64 (assume @p61 @t129) % 37.42/37.64 (assume @p62 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= (= @t2 @t130) (forall @t34 (= @t33 @t109)))))))) % 37.42/37.64 (assume @p63 (forall @t6 (= @t131 (= @t24 tptp.empty_set)))) % 37.42/37.64 (assume @p64 (forall @t11 (=> @t56 (= @t17 (forall @t49 (=> (and @t106 (tptp.in @t29 @t51) (= @t104 (tptp.apply @t1 @t29))) @t92)))))) % 37.42/37.64 (assume @p65 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t132) (forall @t46 (= @t45 (exists (@list @t89) (and (tptp.in (tptp.ordered_pair @t28 @t89) @t1) (tptp.in (tptp.ordered_pair @t89 @t41) @t2))))))))))))) % 37.42/37.64 (assume @p66 (forall @t11 (=> @t16 (forall @t71 (= @t123 (forall (@list @t29 @t28 @t41) (=> (and @t72 @t44 @t50 @t82 @t43) (tptp.in (tptp.ordered_pair @t29 @t41) @t1)))))))) % 37.42/37.64 (assume @p67 (forall @t6 (=> @t135 (forall @t59 (=> (tptp.element @t29 @t134) (= (= @t29 @t133) (forall @t54 (=> (tptp.element @t28 @t81) (= @t53 (tptp.in (tptp.subset_complement @t1 @t28) @t2)))))))))) % 37.42/37.64 (assume @p68 (forall @t6 (= @t8 (and @t39 @t136)))) % 37.42/37.64 (assume @p69 (forall @t11 (=> @t56 (=> @t17 (= @t137 @t130))))) % 37.42/37.64 (assume @p70 (forall @t11 (=> @t16 (= @t113 (tptp.is_reflexive_in @t1 @t60))))) % 37.42/37.64 (assume @p71 true) % 37.42/37.64 (assume @p72 (forall @t11 (=> @t56 (and (tptp.relation @t137) (tptp.function @t137))))) % 37.42/37.64 (assume @p73 (forall @t11 (tptp.element @t111 @t81))) % 37.42/37.64 (assume @p74 @t139) % 37.42/37.64 (assume @p75 (forall @t6 (=> @t120 (tptp.element @t119 @t81)))) % 37.42/37.64 (assume @p76 (forall @t11 (=> @t16 @t140))) % 37.42/37.64 (assume @p77 (forall @t6 (=> @t142 @t141))) % 37.42/37.64 (assume @p78 (forall @t6 (=> @t135 (tptp.element @t143 @t81)))) % 37.42/37.64 (assume @p79 (forall @t11 @t144)) % 37.42/37.64 (assume @p80 (forall @t6 (=> @t135 (tptp.element @t145 @t81)))) % 37.42/37.64 (assume @p81 (forall @t86 (=> @t148 (tptp.element @t146 @t81)))) % 37.42/37.64 (assume @p82 (forall @t6 (=> @t16 @t149))) % 37.42/37.64 (assume @p83 (forall @t6 (=> @t135 (tptp.element @t133 @t134)))) % 37.42/37.64 (assume @p84 (forall @t6 (=> @t37 @t150))) % 37.42/37.64 (assume @p85 (forall @t11 (exists @t71 @t84))) % 37.42/37.64 (assume @p86 (forall @t6 (=> @t152 (and (tptp.empty @t151) (tptp.relation @t151))))) % 37.42/37.64 (assume @p87 (forall @t11 (=> @t10 (and (tptp.empty @t130) @t140)))) % 37.42/37.64 (assume @p88 (and @t155 @t154 @t153)) % 37.42/37.64 (assume @p89 (forall @t6 (=> @t157 (and @t149 (tptp.relation_empty_yielding @t47))))) % 37.42/37.64 (assume @p90 (forall @t6 (=> (and @t16 @t9 @t37 @t158) (and @t141 (tptp.function @t132))))) % 37.42/37.64 (assume @p91 (forall @t11 @t159)) % 37.42/37.64 (assume @p92 (forall @t6 (=> @t142 (tptp.relation @t24)))) % 37.42/37.64 (assume @p93 (forall @t11 (not (tptp.empty @t81)))) % 37.42/37.64 (assume @p94 @t155) % 37.42/37.64 (assume @p95 (forall @t6 (not (tptp.empty @t121)))) % 37.42/37.64 (assume @p96 (forall @t11 (and @t144 (tptp.function @t35)))) % 37.42/37.64 (assume @p97 (and @t154 @t153 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t155 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 37.42/37.64 (assume @p98 (forall @t6 (=> @t142 (tptp.relation @t23)))) % 37.42/37.64 (assume @p99 (forall @t11 (not (tptp.empty @t69)))) % 37.42/37.64 (assume @p100 (forall @t6 (=> @t85 (not (tptp.empty @t23))))) % 37.42/37.64 (assume @p101 (forall @t11 (=> @t18 (and @t140 (tptp.function @t130))))) % 37.42/37.64 (assume @p102 (forall @t11 (=> @t15 (and @t159 (tptp.epsilon_transitive @t70) (tptp.epsilon_connected @t70) (tptp.ordinal @t70))))) % 37.42/37.64 (assume @p103 (forall @t6 (=> @t142 (tptp.relation @t115)))) % 37.42/37.64 (assume @p104 (forall @t6 (not (tptp.empty @t21)))) % 37.42/37.64 (assume @p105 (forall @t6 (=> @t85 (not (tptp.empty @t22))))) % 37.42/37.64 (assume @p106 (forall @t6 (=> @t56 (and @t149 (tptp.function @t47))))) % 37.42/37.64 (assume @p107 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t112) (tptp.epsilon_connected @t112) (tptp.ordinal @t112))))) % 37.42/37.64 (assume @p108 (and @t155 @t154)) % 37.42/37.64 (assume @p109 (forall @t6 (=> (and @t85 @t160) (not (tptp.empty @t90))))) % 37.42/37.64 (assume @p110 (forall @t6 (=> @t161 (and @t150 (tptp.function @t58))))) % 37.42/37.64 (assume @p111 (forall @t11 (=> @t163 (not @t162)))) % 37.42/37.64 (assume @p112 (forall @t11 (=> @t163 (not @t164)))) % 37.42/37.64 (assume @p113 (forall @t11 (=> @t10 (and @t162 (tptp.relation @t51))))) % 37.42/37.64 (assume @p114 (forall @t11 (=> @t10 (and @t164 (tptp.relation @t117))))) % 37.42/37.64 (assume @p115 (forall @t6 (=> @t152 (and (tptp.empty @t132) @t141)))) % 37.42/37.64 (assume @p116 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 37.42/37.64 (assume @p117 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 37.42/37.64 (assume @p118 (forall @t6 (=> @t120 (= (tptp.subset_complement @t1 @t119) @t2)))) % 37.42/37.64 (assume @p119 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t130) @t1)))) % 37.42/37.64 (assume @p120 (forall @t6 (=> @t135 (= (tptp.complements_of_subsets @t1 @t133) @t2)))) % 37.42/37.64 (assume @p121 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 37.42/37.64 (assume @p122 (forall @t11 (=> @t16 (= @t113 (forall @t71 (=> @t165 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 37.42/37.64 (assume @p123 (forall @t11 (not (= @t69 tptp.empty_set)))) % 37.42/37.64 (assume @p124 (forall @t6 (=> @t5 (= (tptp.set_union2 @t69 @t2) @t2)))) % 37.42/37.64 (assume @p125 (forall @t6 (not (and @t166 @t5)))) % 37.42/37.64 (assume @p126 (forall @t6 (=> @t167 @t166))) % 37.42/37.64 (assume @p127 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_dom @t58) @t168)))) % 37.42/37.64 (assume @p128 @t176) % 37.42/37.64 (assume @p129 (forall @t6 (= (tptp.subset @t69 @t2) @t5))) % 37.42/37.64 (assume @p130 (forall @t6 (= (= @t115 tptp.empty_set) @t39))) % 37.42/37.64 (assume @p131 (forall @t6 (=> @t120 (forall @t59 (=> @t72 @t31))))) % 37.42/37.64 (assume @p132 (forall @t11 (=> @t16 (= @t61 (forall @t49 (=> (and @t108 @t177) @t92)))))) % 37.42/37.64 (assume @p133 (forall @t86 (=> @t39 (or @t31 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t29))))))) % 37.42/37.64 (assume @p134 (forall @t11 (=> @t16 (= @t65 (forall @t49 (not (and @t165 (tptp.in @t29 @t60) @t93 @t178 (not @t177)))))))) % 37.42/37.64 (assume @p135 (forall @t6 (= (tptp.subset @t1 @t179) (or @t76 (= @t1 @t179))))) % 37.42/37.64 (assume @p136 (forall @t6 (=> @t5 (tptp.subset @t1 @t180)))) % 37.42/37.64 (assume @p137 (forall @t68 (= (tptp.in @t121 (tptp.cartesian_product2 @t29 @t28)) (and @t181 (tptp.in @t2 @t28))))) % 37.42/37.64 (assume @p138 (forall @t6 (=> @t95 @t182))) % 37.42/37.64 (assume @p139 (forall @t86 (=> @t186 (= @t185 (and (tptp.in @t2 @t183) @t3))))) % 37.42/37.64 (assume @p140 (exists @t11 @t56)) % 37.42/37.64 (assume @p141 (exists @t11 @t20)) % 37.42/37.64 (assume @p142 (exists @t11 (and @t10 @t16))) % 37.42/37.64 (assume @p143 (forall @t11 (=> @t85 (exists @t71 (and @t120 @t160))))) % 37.42/37.64 (assume @p144 (exists @t11 @t10)) % 37.42/37.64 (assume @p145 (exists @t11 @t19)) % 37.42/37.64 (assume @p146 (exists @t11 (and @t16 @t9 @t17 @t10 @t13 @t12 @t15))) % 37.42/37.64 (assume @p147 (exists @t11 @t163)) % 37.42/37.64 (assume @p148 (forall @t11 (exists @t71 (and @t120 @t83)))) % 37.42/37.64 (assume @p149 (exists @t11 @t85)) % 37.42/37.64 (assume @p150 (exists @t11 @t18)) % 37.42/37.64 (assume @p151 (exists @t11 (and @t85 @t13 @t12 @t15))) % 37.42/37.64 (assume @p152 (exists @t11 @t157)) % 37.42/37.64 (assume @p153 (exists @t11 (and @t16 @t156 @t9))) % 37.42/37.64 (assume @p154 (forall @t6 (=> @t135 (= @t143 @t180)))) % 37.42/37.64 (assume @p155 (forall @t6 (=> @t135 (= @t145 (tptp.set_meet @t2))))) % 37.42/37.64 (assume @p156 (forall @t86 (=> @t148 (= @t146 @t187)))) % 37.42/37.64 (assume @p157 (forall @t6 (=> @t27 (= @t25 @t39)))) % 37.42/37.64 (assume @p158 (forall @t6 (=> @t27 (tptp.ordinal_subset @t1 @t1)))) % 37.42/37.64 (assume @p159 (forall @t6 (tptp.subset @t1 @t1))) % 37.42/37.64 (assume @p160 (forall @t6 (=> @t131 (tptp.disjoint @t2 @t1)))) % 37.42/37.64 (assume @p161 (forall @t11 (tptp.in @t1 @t70))) % 37.42/37.64 (assume @p162 (forall @t68 (not (and (= @t21 (tptp.unordered_pair @t29 @t28)) (not @t188) (not (= @t1 @t28)))))) % 37.42/37.64 (assume @p163 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t29))) (and @t5 (tptp.in @t1 @t189)))))) % 37.42/37.64 (assume @p164 (forall @t6 (=> @t37 (tptp.subset @t190 @t1)))) % 37.42/37.64 (assume @p165 (forall @t6 (=> @t37 (tptp.subset @t58 @t2)))) % 37.42/37.64 (assume @p166 (forall @t6 (=> @t37 (tptp.subset @t190 @t191)))) % 37.42/37.64 (assume @p167 (forall @t86 (=> @t39 (and (tptp.subset @t192 (tptp.cartesian_product2 @t2 @t29)) (tptp.subset (tptp.cartesian_product2 @t29 @t1) (tptp.cartesian_product2 @t29 @t2)))))) % 37.42/37.64 (assume @p168 (forall @t6 (=> @t37 (= @t190 (tptp.set_intersection2 @t191 @t1))))) % 37.42/37.64 (assume @p169 (forall @t68 (=> (and @t39 (tptp.subset @t29 @t28)) (tptp.subset @t192 (tptp.cartesian_product2 @t2 @t28))))) % 37.42/37.64 (assume @p170 (forall @t6 (=> @t39 (= @t23 @t2)))) % 37.42/37.64 (assume @p171 (forall @t11 (exists @t71 (and @t5 @t195 (forall @t59 (=> @t72 (tptp.in @t194 @t2))) @t193)))) % 37.42/37.64 (assume @p172 (forall @t86 (=> @t48 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t29) @t2) (tptp.relation_rng_restriction @t1 @t196))))) % 37.42/37.64 (assume @p173 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_image @t29 @t2)) (exists @t54 (and (tptp.in @t28 @t183) (tptp.in (tptp.ordered_pair @t28 @t1) @t29) @t44)))))) % 37.42/37.64 (assume @p174 (forall @t6 (=> @t37 (tptp.subset @t197 @t191)))) % 37.42/37.64 (assume @p175 (forall @t6 (=> @t161 (tptp.subset @t199 @t1)))) % 37.42/37.64 (assume @p176 (forall @t6 (=> @t37 (= @t197 (tptp.relation_image @t2 @t200))))) % 37.42/37.64 (assume @p177 (forall @t6 (=> @t37 (=> (tptp.subset @t1 @t168) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t197)))))) % 37.42/37.64 (assume @p178 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t51) @t117)))) % 37.42/37.64 (assume @p179 (forall @t6 (=> @t161 (=> @t201 (= @t199 @t1))))) % 37.42/37.64 (assume @p180 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t202 (tptp.relation_image @t2 @t117))))))) % 37.42/37.64 (assume @p181 (forall @t86 (=> @t48 (= (tptp.in @t1 @t203) (exists @t54 (and (tptp.in @t28 @t189) (tptp.in (tptp.ordered_pair @t1 @t28) @t29) @t44)))))) % 37.42/37.64 (assume @p182 (forall @t6 (=> @t37 (tptp.subset @t198 @t168)))) % 37.42/37.64 (assume @p183 (forall @t86 (=> @t48 (= (tptp.in @t1 @t204) (and @t181 (tptp.in @t1 @t126)))))) % 37.42/37.64 (assume @p184 (forall @t6 (=> @t37 (not (and @t79 @t201 (= @t198 tptp.empty_set)))))) % 37.42/37.64 (assume @p185 (forall @t86 (=> @t48 (=> @t39 (tptp.subset (tptp.relation_inverse_image @t29 @t1) @t203))))) % 37.42/37.64 (assume @p186 (forall @t6 (=> @t37 (= @t205 (tptp.relation_dom_restriction @t58 @t1))))) % 37.42/37.64 (assume @p187 (forall @t6 (tptp.subset @t24 @t1))) % 37.42/37.64 (assume @p188 (forall @t6 (=> @t37 (= @t205 (tptp.relation_rng_restriction @t1 @t206))))) % 37.42/37.64 (assume @p189 (forall @t86 (=> @t48 (=> (tptp.in @t1 (tptp.relation_field @t204)) (and @t208 @t5))))) % 37.42/37.64 (assume @p190 (forall @t86 (=> (and @t39 @t210) (tptp.subset @t1 @t209)))) % 37.42/37.64 (assume @p191 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 37.42/37.64 (assume @p192 (forall @t6 (=> @t5 @t211))) % 37.42/37.64 (assume @p193 (forall @t86 (=> (and @t39 (tptp.subset @t2 @t29)) @t210))) % 37.42/37.64 (assume @p194 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 37.42/37.64 (assume @p195 (forall @t86 (=> @t48 (=> @t213 (and @t212 (tptp.in @t2 @t189)))))) % 37.42/37.64 (assume @p196 @t216) % 37.42/37.64 (assume @p197 (forall @t6 (=> @t161 (forall @t59 (=> @t186 (= @t219 (and @t212 (tptp.in @t217 @t168)))))))) % 37.42/37.64 (assume @p198 (forall @t11 (=> @t13 (forall @t71 (=> @t26 (=> @t8 @t5)))))) % 37.42/37.64 (assume @p199 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t51 @t117))))) % 37.42/37.64 (assume @p200 (forall @t86 (=> @t48 (tptp.subset (tptp.fiber (tptp.relation_restriction @t29 @t1) @t2) (tptp.fiber @t29 @t2))))) % 37.42/37.64 (assume @p201 (forall @t6 (=> @t161 (forall @t59 (=> @t186 (=> @t219 (= (tptp.apply @t218 @t1) (tptp.apply @t2 @t217)))))))) % 37.42/37.64 (assume @p202 (forall @t6 (=> @t37 (=> (tptp.reflexive @t2) (tptp.reflexive @t205))))) % 37.42/37.64 (assume @p203 (forall @t6 (=> @t161 (forall @t59 (=> @t186 (=> (tptp.in @t1 @t168) (= (tptp.apply (tptp.relation_composition @t2 @t29) @t1) (tptp.apply @t29 (tptp.apply @t2 @t1))))))))) % 37.42/37.64 (assume @p204 (forall @t6 (=> @t26 (=> @t5 @t15)))) % 37.42/37.64 (assume @p205 (forall @t6 (=> @t37 (=> (tptp.connected @t2) (tptp.connected @t205))))) % 37.42/37.64 (assume @p206 (forall @t11 (=> @t15 (forall @t71 (=> @t26 (not (and @t167 @t136 @t4))))))) % 37.42/37.64 (assume @p207 @t224) % 37.42/37.64 (assume @p208 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> @t39 (and (tptp.subset @t51 @t168) (tptp.subset @t117 @t191)))))))) % 37.42/37.64 (assume @p209 (forall @t86 (=> @t39 (tptp.subset (tptp.set_intersection2 @t1 @t29) @t209)))) % 37.42/37.64 (assume @p210 (forall @t6 (=> @t39 (= @t24 @t1)))) % 37.42/37.64 (assume @p211 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 37.42/37.64 (assume @p212 (forall @t6 (=> @t211 (or @t83 @t5)))) % 37.42/37.64 (assume @p213 (forall @t6 (=> (forall @t59 (= @t31 @t72)) @t40))) % 37.42/37.64 (assume @p214 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 37.42/37.64 (assume @p215 @t227) % 37.42/37.64 (assume @p216 (forall @t11 (=> (forall @t71 (=> @t3 (and @t26 @t38))) @t15))) % 37.42/37.64 (assume @p217 (forall @t6 (=> @t26 (not (and @t39 @t79 (forall @t59 (=> (tptp.ordinal @t29) (not (and @t31 (forall @t54 (=> (tptp.ordinal @t28) (=> @t78 (tptp.ordinal_subset @t29 @t28))))))))))))) % 37.42/37.64 (assume @p218 (forall @t11 (=> @t15 (forall @t71 (=> @t26 (= @t5 (tptp.ordinal_subset @t70 @t2))))))) % 37.42/37.64 (assume @p219 (forall @t86 (=> @t39 (tptp.subset (tptp.set_difference @t1 @t29) @t187)))) % 37.42/37.64 (assume @p220 (forall @t68 (=> (= @t121 @t32) (and @t188 (= @t2 @t28))))) % 37.42/37.64 (assume @p221 (forall @t6 (=> @t161 (= @t36 (and (= @t168 @t1) (forall @t59 (=> @t31 (= @t228 @t29)))))))) % 37.42/37.64 (assume @p222 (forall @t6 (=> @t3 (= (tptp.apply @t35 @t2) @t2)))) % 37.42/37.64 (assume @p223 (forall @t6 (tptp.subset @t115 @t1))) % 37.42/37.64 (assume @p224 (forall @t11 (=> @t16 (and (= @t117 (tptp.relation_dom @t130)) (= @t51 (tptp.relation_rng @t130)))))) % 37.42/37.64 (assume @p225 (forall @t86 (= (tptp.subset @t21 @t29) (and @t181 @t94)))) % 37.42/37.64 (assume @p226 (forall @t6 (= @t229 @t23))) % 37.42/37.64 (assume @p227 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 37.42/37.64 (assume @p228 (forall @t86 (not (and @t5 @t94 @t31)))) % 37.42/37.64 (assume @p229 (forall @t6 (= @t182 @t39))) % 37.42/37.64 (assume @p230 (forall @t6 (and (not (and @t231 (forall @t59 (not @t230)))) (not (and (exists @t59 @t230) @t131))))) % 37.42/37.64 (assume @p231 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t76))) % 37.42/37.64 (assume @p232 (forall @t6 (= (tptp.set_difference @t23 @t2) @t115))) % 37.42/37.64 (assume @p233 (forall @t11 (=> @t15 (= @t124 (forall @t71 (=> @t26 (=> @t3 (tptp.in @t232 @t1)))))))) % 37.42/37.64 (assume @p234 (forall @t11 (=> @t15 (and (not (and (not @t124) (forall @t71 (=> @t26 (not @t233))))) (not (and (exists @t71 (and @t26 @t233)) @t124)))))) % 37.42/37.64 (assume @p235 (forall @t6 (=> @t120 (forall @t59 (=> @t147 (= @t235 (tptp.subset @t2 @t234))))))) % 37.42/37.64 (assume @p236 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (tptp.subset @t236 @t51)))))) % 37.42/37.64 (assume @p237 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (tptp.subset @t202 @t191)))))) % 37.42/37.64 (assume @p238 (forall @t6 (=> @t39 (= @t2 @t229)))) % 37.42/37.64 (assume @p239 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> (tptp.subset @t117 @t168) (= @t236 @t51))))))) % 37.42/37.64 (assume @p240 (forall @t6 (=> @t135 (not (and @t87 (= @t133 tptp.empty_set)))))) % 37.42/37.64 (assume @p241 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> (tptp.subset @t51 @t191) (= (tptp.relation_rng @t151) @t117))))))) % 37.42/37.64 (assume @p242 (forall @t6 (=> @t135 (=> @t87 (= (tptp.subset_difference @t1 @t111 @t143) (tptp.meet_of_subsets @t1 @t133)))))) % 37.42/37.64 (assume @p243 (forall @t6 (=> @t135 (=> @t87 (= (tptp.union_of_subsets @t1 @t133) (tptp.subset_difference @t1 @t111 @t145)))))) % 37.42/37.64 (assume @p244 (forall @t6 (= (tptp.set_difference @t1 @t115) @t24))) % 37.42/37.64 (assume @p245 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 37.42/37.64 (assume @p246 (forall @t86 (=> (and @t5 @t237) (tptp.element @t1 @t29)))) % 37.42/37.64 (assume @p247 (forall @t6 (and (not (and @t231 (forall @t59 (not @t238)))) (not (and (exists @t59 @t238) @t131))))) % 37.42/37.64 (assume @p248 (forall @t11 (=> @t79 (forall @t71 (=> @t120 (forall @t59 (=> (tptp.element @t29 @t1) (=> @t91 (tptp.in @t29 @t119))))))))) % 37.42/37.64 (assume @p249 (forall @t11 (=> @t56 (=> @t17 (forall @t71 (=> @t161 (= (= @t2 @t137) (and (= @t168 @t117) (forall @t34 (and (=> @t239 @t116) (=> @t116 @t239))))))))))) % 37.42/37.64 (assume @p250 (forall @t86 (=> @t147 (not (and (tptp.in @t2 @t234) @t94))))) % 37.42/37.64 (assume @p251 (forall @t11 (=> @t56 (=> @t17 (and (= @t117 (tptp.relation_dom @t137)) (= @t51 (tptp.relation_rng @t137))))))) % 37.42/37.64 (assume @p252 (forall @t11 (=> @t16 (=> (forall @t49 @t178) @t76)))) % 37.42/37.64 (assume @p253 (forall @t6 (=> @t161 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t191)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t240 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t240 @t2) @t1))))))) % 37.42/37.64 (assume @p254 (forall @t86 (not (and @t5 @t237 (tptp.empty @t29))))) % 37.42/37.64 (assume @p255 (forall @t11 (=> @t16 (= @t88 (tptp.is_well_founded_in @t1 @t60))))) % 37.42/37.64 (assume @p256 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 37.42/37.64 (assume @p257 (forall @t6 (not (and @t39 @t7)))) % 37.42/37.64 (assume @p258 (forall @t11 (=> @t56 (=> @t17 (tptp.one_to_one @t137))))) % 37.42/37.64 (assume @p259 (forall @t86 (=> (and @t39 @t235) (tptp.disjoint @t1 @t29)))) % 37.42/37.64 (assume @p260 (forall @t11 (=> @t16 (=> (or @t242 @t241) @t76)))) % 37.42/37.64 (assume @p261 (forall @t11 (=> @t16 (= @t242 @t241)))) % 37.42/37.64 (assume @p262 (forall @t6 (= (= (tptp.set_difference @t1 @t179) @t1) @t4))) % 37.42/37.64 (assume @p263 (forall @t6 (=> @t161 (forall @t59 (=> @t186 (= (= @t2 @t184) (and (= @t168 (tptp.set_intersection2 @t183 @t1)) (forall @t54 (=> (tptp.in @t28 @t168) (= (tptp.apply @t2 @t28) (tptp.apply @t29 @t28))))))))))) % 37.42/37.64 (assume @p264 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t69))) % 37.42/37.64 (assume @p265 (forall @t11 (=> @t10 @t76))) % 37.42/37.64 (assume @p266 (forall @t6 (=> (tptp.subset @t69 @t179) @t40))) % 37.42/37.64 (assume @p267 (forall @t86 (=> @t186 (=> @t185 @t243)))) % 37.42/37.64 (assume @p268 (forall @t11 (and (= (tptp.relation_dom @t35) @t1) (= (tptp.relation_rng @t35) @t1)))) % 37.42/37.64 (assume @p269 (forall @t86 (=> @t186 (=> @t3 @t243)))) % 37.42/37.64 (assume @p270 (forall @t68 (=> (tptp.relation @t28) (= (tptp.in @t121 (tptp.relation_composition (tptp.identity_relation @t29) @t28)) (and @t181 (tptp.in @t121 @t28)))))) % 37.42/37.64 (assume @p271 (forall @t6 (not (and @t5 @t83)))) % 37.42/37.64 (assume @p272 (forall @t6 (not (and @t5 (forall @t59 (not (and @t72 (forall @t54 (not (and @t44 @t53)))))))))) % 37.42/37.64 (assume @p273 (forall @t6 (tptp.subset @t1 @t23))) % 37.42/37.64 (assume @p274 (forall @t6 (= @t131 (= @t115 @t1)))) % 37.42/37.64 (assume @p275 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_dom @t196)) (and @t5 @t212))))) % 37.42/37.64 (assume @p276 (forall @t6 (=> @t37 (tptp.subset @t206 @t2)))) % 37.42/37.64 (assume @p277 (forall @t6 (not (and @t10 @t136 @t83)))) % 37.42/37.64 (assume @p278 (forall @t86 (=> @t186 (= @t213 (and @t212 (= @t2 @t217)))))) % 37.42/37.64 (assume @p279 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t60) @t114)))) % 37.42/37.64 (assume @p280 (forall @t86 (=> (and @t39 @t99) (tptp.subset (tptp.set_union2 @t1 @t29) @t2)))) % 37.42/37.64 (assume @p281 (forall @t86 (=> @t244 @t40))) % 37.42/37.64 (assume @p282 (forall @t6 (=> @t37 (= (tptp.relation_dom @t206) @t200)))) % 37.42/37.64 (assume @p283 (forall @t6 (=> @t37 (= @t206 (tptp.relation_composition @t35 @t2))))) % 37.42/37.64 (assume @p284 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_rng @t206) @t191)))) % 37.42/37.64 (assume @p285 (forall @t11 (= (tptp.union @t81) @t1))) % 37.42/37.64 (assume @p286 (forall @t11 (exists @t71 (and @t5 @t195 (forall @t59 (not (and @t72 (forall @t54 (not (and @t44 (forall @t52 (=> (tptp.subset @t41 @t29) @t67)))))))) @t193)))) % 37.42/37.64 (assume @p287 (forall @t86 (=> @t244 @t92))) % 37.42/37.64 (step @p288 :rule instantiate :premises (@p137) :args ((@list @t254 @t253 @t249 @t249))) % 37.42/37.64 (step @p289 :rule eq-symm :args (@t255 @t101)) % 37.42/37.64 (step @p290 :rule refl :args (@t101)) % 37.42/37.64 (step @p291 :rule eq-symm :args (@t29 @t24)) % 37.42/37.64 (step @p292 :rule cong :premises (@p291 @p290) :args (@t102)) % 37.42/37.64 (step @p293 :rule trans :premises (@p292 @p289)) % 37.42/37.64 (step @p294 :rule cong :premises (@p293) :args (@t103)) % 37.42/37.64 (step @p295 :rule eq_resolve :premises (@p44 @p294)) % 37.42/37.64 (step @p296 :rule eq-symm :args (@t257 @t259)) % 37.42/37.64 (step @p297 :rule eq-symm :args (@t258 @t251)) % 37.42/37.64 (step @p298 :rule refl :args (@t257)) % 37.42/37.64 (step @p299 :rule cong :premises (@p298 @p297) :args (@t260)) % 37.42/37.64 (step @p300 :rule trans :premises (@p299 @p296)) % 37.42/37.64 (step @p301 :rule refl :args (@t261)) % 37.42/37.64 (step @p302 :rule cong :premises (@p301 @p300) :args ((=> @t261 @t260))) % 37.42/37.64 (assume-push @p490 @t261) % 37.42/37.64 (step @p304 :rule instantiate :premises (@p295) :args ((@list @t250 @t256 @t251))) % 37.42/37.64 (step-pop @p491 :rule scope :premises (@p304)) % 37.42/37.64 (step @p305 :rule process_scope :premises (@p491) :args (@t260)) % 37.42/37.64 (step @p307 :rule eq_resolve :premises (@p305 @p302)) % 37.42/37.64 (step @p308 :rule implies_elim :premises (@p307)) % 37.42/37.64 (step @p309 :rule chain_m_resolution :premises (@p308 @p295) :args (@t262 @t263 (@list @t261))) % 37.42/37.64 (step @p310 :rule quant-merge-prenex :args ((= (forall @t11 @t269) (forall (@list @t1 @t264) @t267)))) % 37.42/37.64 (step @p311 :rule alpha_equiv :args (@t270 (@list @t264) (@list @t2))) % 37.42/37.64 (step @p312 :rule refl :args (@t266)) % 37.42/37.64 (step @p313 :rule nary_cong :premises (@p312 @p311) :args (@t271)) % 37.42/37.64 (step @p314 :rule quant-miniscope-or :args ((= @t269 @t271))) % 37.42/37.64 (step @p315 :rule trans :premises (@p314 @p313)) % 37.42/37.64 (step @p316 :rule symm :premises (@p315)) % 37.42/37.64 (step @p317 :rule cong :premises (@p316) :args ((forall @t11 (or @t266 @t128)))) % 37.42/37.64 (step @p318 :rule trans :premises (@p317 @p310)) % 37.42/37.64 (step @p319 :rule bool-impl-elim :args (@t16 @t128)) % 37.42/37.64 (step @p320 :rule cong :premises (@p319) :args (@t129)) % 37.42/37.64 (step @p321 :rule trans :premises (@p320 @p318)) % 37.42/37.64 (step @p322 :rule eq_resolve :premises (@p61 @p321)) % 37.42/37.64 (step @p323 :rule instantiate :premises (@p322) :args (@t272)) % 37.42/37.64 (step @p324 :rule aci_norm :args ((= (or @t246 (or @t245 @t220)) @t247))) % 37.42/37.64 (step @p325 :rule bool-impl-elim :args (@t221 @t220)) % 37.42/37.64 (step @p326 :rule refl :args (@t246)) % 37.42/37.64 (step @p327 :rule nary_cong :premises (@p326 @p325) :args ((or @t246 @t222))) % 37.42/37.64 (step @p328 :rule trans :premises (@p327 @p324)) % 37.42/37.64 (step @p329 :rule bool-impl-elim :args (@t37 @t222)) % 37.42/37.64 (step @p330 :rule trans :premises (@p329 @p328)) % 37.42/37.64 (step @p331 :rule cong :premises (@p330) :args (@t223)) % 37.42/37.64 (step @p332 :rule cong :premises (@p331) :args (@t224)) % 37.42/37.64 (step @p333 :rule eq_resolve :premises (@p207 @p332)) % 37.42/37.64 (step @p334 :rule skolemize :premises (@p333)) % 37.42/37.64 (step @p335 :rule bool-double-not-elim :args (@t273)) % 37.42/37.64 (step @p336 :rule refl :args (@t278)) % 37.42/37.64 (step @p337 :rule nary_cong :premises (@p336 @p335) :args ((or @t278 (not @t277)))) % 37.42/37.64 (step @p338 :rule cnf_or_neg :args (@t278 0)) % 37.42/37.64 (step @p339 :rule eq_resolve :premises (@p338 @p337)) % 37.42/37.64 (step @p340 :rule reordering :premises (@p339) :args ((or @t273 @t278))) % 37.42/37.64 (step @p341 :rule chain_m_resolution :premises (@p340 @p334) :args (@t273 @t279 @t280)) % 37.42/37.64 (step @p342 :rule cnf_or_pos :args (@t281)) % 37.42/37.64 (step @p343 :rule reordering :premises (@p342) :args ((or @t277 @t259 (not @t281)))) % 37.42/37.64 (step @p344 :rule chain_m_resolution :premises (@p343 @p341 @p323) :args (@t259 @t282 (@list @t273 @t281))) % 37.42/37.64 (step @p345 :rule cnf_equiv_pos1 :args (@t262)) % 37.42/37.64 (step @p346 :rule reordering :premises (@p345) :args ((or (not @t259) @t257 (not @t262)))) % 37.42/37.64 (step @p347 :rule chain_m_resolution :premises (@p346 @p344 @p309) :args (@t257 @t282 (@list @t259 @t262))) % 37.42/37.64 (step @p348 :rule instantiate :premises (@p347) :args ((@list @t283))) % 37.42/37.64 (step @p349 :rule bool-impl-elim :args (@t16 @t285)) % 37.42/37.64 (step @p350 :rule cong :premises (@p349) :args ((forall @t11 (=> @t16 @t285)))) % 37.42/37.64 (step @p351 :rule aci_norm :args ((= (or (or @t178 @t125) @t170) @t284))) % 37.42/37.64 (step @p352 :rule refl :args (@t170)) % 37.42/37.64 (step @p353 :rule bool-and-de-morgan :args (@t108 @t82 true)) % 37.42/37.64 (step @p354 :rule nary_cong :premises (@p353 @p352) :args ((or (not @t171) @t170))) % 37.42/37.64 (step @p355 :rule trans :premises (@p354 @p351)) % 37.42/37.64 (step @p356 :rule bool-impl-elim :args (@t171 @t170)) % 37.42/37.64 (step @p357 :rule trans :premises (@p356 @p355)) % 37.42/37.64 (step @p358 :rule cong :premises (@p357) :args (@t173)) % 37.42/37.64 (step @p359 :rule refl :args (@t66)) % 37.42/37.64 (step @p360 :rule cong :premises (@p359 @p358) :args (@t174)) % 37.42/37.64 (step @p361 :rule refl :args (@t16)) % 37.42/37.64 (step @p362 :rule cong :premises (@p361 @p360) :args (@t175)) % 37.42/37.64 (step @p363 :rule cong :premises (@p362) :args (@t176)) % 37.42/37.64 (step @p364 :rule trans :premises (@p363 @p350)) % 37.42/37.64 (step @p365 :rule eq_resolve :premises (@p128 @p364)) % 37.42/37.64 (step @p366 :rule instantiate :premises (@p365) :args ((@list @t251))) % 37.42/37.64 (step @p367 :rule bool-impl-elim :args (@t16 @t138)) % 37.42/37.64 (step @p368 :rule cong :premises (@p367) :args (@t139)) % 37.42/37.64 (step @p369 :rule eq_resolve :premises (@p74 @p368)) % 37.42/37.64 (step @p370 :rule instantiate :premises (@p369) :args (@t272)) % 37.42/37.64 (step @p371 :rule cnf_or_pos :args (@t287)) % 37.42/37.64 (step @p372 :rule reordering :premises (@p371) :args ((or @t277 @t286 (not @t287)))) % 37.42/37.64 (step @p373 :rule chain_m_resolution :premises (@p372 @p341 @p370) :args (@t286 @t282 (@list @t273 @t287))) % 37.42/37.64 (step @p374 :rule cnf_or_pos :args (@t290)) % 37.42/37.64 (step @p375 :rule reordering :premises (@p374) :args ((or @t289 @t288 (not @t290)))) % 37.42/37.64 (step @p376 :rule chain_m_resolution :premises (@p375 @p373 @p366) :args (@t288 @t282 (@list @t286 @t290))) % 37.42/37.64 (step @p377 :rule cnf_or_neg :args (@t278 2)) % 37.42/37.64 (step @p378 :rule chain_m_resolution :premises (@p377 @p334) :args ((not @t274) @t279 @t280)) % 37.42/37.64 (step @p379 :rule cnf_equiv_pos2 :args (@t288)) % 37.42/37.64 (step @p380 :rule reordering :premises (@p379) :args ((or @t274 @t291 (not @t288)))) % 37.42/37.64 (step @p381 :rule chain_m_resolution :premises (@p380 @p378 @p376) :args (@t291 @t292 (@list @t274 @t288))) % 37.42/37.64 (step @p382 :rule skolemize :premises (@p381)) % 37.42/37.64 (step @p383 :rule bool-double-not-elim :args (@t293)) % 37.42/37.64 (step @p384 :rule refl :args (@t301)) % 37.42/37.64 (step @p385 :rule nary_cong :premises (@p384 @p383) :args ((or @t301 (not @t300)))) % 37.42/37.64 (step @p386 :rule cnf_or_neg :args (@t301 0)) % 37.42/37.64 (step @p387 :rule eq_resolve :premises (@p386 @p385)) % 37.42/37.64 (step @p388 :rule reordering :premises (@p387) :args ((or @t293 @t301))) % 37.42/37.64 (step @p389 :rule chain_m_resolution :premises (@p388 @p382) :args (@t293 @t279 @t302)) % 37.42/37.64 (step @p390 :rule cnf_equiv_pos1 :args (@t306)) % 37.42/37.64 (step @p391 :rule reordering :premises (@p390) :args ((or @t300 @t305 (not @t306)))) % 37.42/37.64 (step @p392 :rule chain_m_resolution :premises (@p391 @p389 @p348) :args (@t305 @t282 (@list @t293 @t306))) % 37.42/37.64 (step @p393 :rule cnf_and_pos :args (@t305 1)) % 37.42/37.64 (step @p394 :rule reordering :premises (@p393) :args ((or @t303 @t307))) % 37.42/37.64 (step @p395 :rule chain_m_resolution :premises (@p394 @p392) :args (@t303 @t263 @t308)) % 37.42/37.64 (step @p396 :rule cnf_equiv_pos1 :args (@t311)) % 37.42/37.64 (step @p397 :rule reordering :premises (@p396) :args ((or (not @t303) @t310 (not @t311)))) % 37.42/37.64 (step @p398 :rule chain_m_resolution :premises (@p397 @p395 @p288) :args (@t310 @t282 (@list @t303 @t311))) % 37.42/37.64 (step @p399 :rule cnf_and_pos :args (@t310 0)) % 37.42/37.64 (step @p400 :rule reordering :premises (@p399) :args ((or @t309 (not @t310)))) % 37.42/37.64 (step @p401 :rule chain_m_resolution :premises (@p400 @p398) :args (@t309 @t263 (@list @t310))) % 37.42/37.64 (step @p402 :rule instantiate :premises (@p137) :args ((@list @t254 @t294 @t249 @t249))) % 37.42/37.64 (step @p403 :rule instantiate :premises (@p365) :args ((@list @t250))) % 37.42/37.64 (step @p404 :rule cnf_or_pos :args (@t314)) % 37.42/37.64 (step @p405 :rule reordering :premises (@p404) :args ((or @t277 @t313 (not @t314)))) % 37.42/37.64 (step @p406 :rule chain_m_resolution :premises (@p405 @p341 @p403) :args (@t313 @t282 (@list @t273 @t314))) % 37.42/37.64 (step @p407 :rule bool-double-not-elim :args (@t275)) % 37.42/37.64 (step @p408 :rule nary_cong :premises (@p336 @p407) :args ((or @t278 (not @t276)))) % 37.42/37.64 (step @p409 :rule cnf_or_neg :args (@t278 1)) % 37.42/37.64 (step @p410 :rule eq_resolve :premises (@p409 @p408)) % 37.42/37.64 (step @p411 :rule reordering :premises (@p410) :args ((or @t275 @t278))) % 37.42/37.64 (step @p412 :rule chain_m_resolution :premises (@p411 @p334) :args (@t275 @t279 @t280)) % 37.42/37.64 (step @p413 :rule cnf_equiv_pos1 :args (@t313)) % 37.42/37.64 (step @p414 :rule reordering :premises (@p413) :args ((or @t276 @t312 (not @t313)))) % 37.42/37.64 (step @p415 :rule chain_m_resolution :premises (@p414 @p412 @p406) :args (@t312 @t282 (@list @t275 @t313))) % 37.42/37.64 (step @p416 :rule instantiate :premises (@p415) :args ((@list @t254 @t253 @t294))) % 37.42/37.64 (step @p417 :rule instantiate :premises (@p347) :args ((@list @t297))) % 37.42/37.64 (step @p418 :rule bool-double-not-elim :args (@t298)) % 37.42/37.64 (step @p419 :rule nary_cong :premises (@p384 @p418) :args ((or @t301 (not @t299)))) % 37.42/37.64 (step @p420 :rule cnf_or_neg :args (@t301 1)) % 37.42/37.64 (step @p421 :rule eq_resolve :premises (@p420 @p419)) % 37.42/37.64 (step @p422 :rule reordering :premises (@p421) :args ((or @t298 @t301))) % 37.42/37.64 (step @p423 :rule chain_m_resolution :premises (@p422 @p382) :args (@t298 @t279 @t302)) % 37.42/37.64 (step @p424 :rule cnf_equiv_pos1 :args (@t317)) % 37.42/37.64 (step @p425 :rule reordering :premises (@p424) :args ((or @t299 @t316 (not @t317)))) % 37.42/37.64 (step @p426 :rule chain_m_resolution :premises (@p425 @p423 @p417) :args (@t316 @t282 (@list @t298 @t317))) % 37.42/37.64 (step @p427 :rule cnf_and_pos :args (@t316 0)) % 37.42/37.64 (step @p428 :rule reordering :premises (@p427) :args ((or @t315 (not @t316)))) % 37.42/37.64 (step @p429 :rule chain_m_resolution :premises (@p428 @p426) :args (@t315 @t263 (@list @t316))) % 37.42/37.64 (step @p430 :rule cnf_and_pos :args (@t305 0)) % 37.42/37.64 (step @p431 :rule reordering :premises (@p430) :args ((or @t304 @t307))) % 37.42/37.64 (step @p432 :rule chain_m_resolution :premises (@p431 @p392) :args (@t304 @t263 @t308)) % 37.42/37.64 (step @p433 :rule cnf_or_pos :args (@t321)) % 37.42/37.64 (step @p434 :rule reordering :premises (@p433) :args ((or @t318 @t320 @t319 (not @t321)))) % 37.42/37.64 (step @p435 :rule chain_m_resolution :premises (@p434 @p432 @p429 @p416) :args (@t318 @t322 (@list @t304 @t315 @t321))) % 37.42/37.64 (step @p436 :rule instantiate :premises (@p347) :args ((@list @t295))) % 37.42/37.64 (step @p437 :rule cnf_or_neg :args (@t301 2)) % 37.42/37.64 (step @p438 :rule chain_m_resolution :premises (@p437 @p382) :args ((not @t296) @t279 @t302)) % 37.42/37.64 (step @p439 :rule cnf_equiv_pos2 :args (@t325)) % 37.42/37.64 (step @p440 :rule reordering :premises (@p439) :args ((or @t296 @t326 (not @t325)))) % 37.42/37.64 (step @p441 :rule chain_m_resolution :premises (@p440 @p438 @p436) :args (@t326 @t292 (@list @t296 @t325))) % 37.42/37.64 (step @p442 :rule cnf_and_neg :args (@t324)) % 37.42/37.64 (step @p443 :rule chain_m_resolution :premises (@p442 @p441 @p435) :args ((not @t323) @t292 (@list @t324 @t318))) % 37.42/37.64 (step @p444 :rule cnf_equiv_pos2 :args (@t329)) % 37.42/37.64 (step @p445 :rule reordering :premises (@p444) :args ((or @t323 @t330 (not @t329)))) % 37.42/37.64 (step @p446 :rule chain_m_resolution :premises (@p445 @p443 @p402) :args (@t330 @t292 (@list @t323 @t329))) % 37.42/37.64 (step @p447 :rule bool-impl-elim :args (@t31 @t72)) % 37.42/37.64 (step @p448 :rule cong :premises (@p447) :args (@t95)) % 37.42/37.64 (step @p449 :rule refl :args (@t39)) % 37.42/37.64 (step @p450 :rule cong :premises (@p449 @p448) :args (@t96)) % 37.42/37.65 (step @p451 :rule cong :premises (@p450) :args (@t97)) % 37.42/37.65 (step @p452 :rule eq_resolve :premises (@p42 @p451)) % 37.42/37.65 (step @p453 :rule instantiate :premises (@p452) :args ((@list @t331 @t249))) % 37.42/37.65 (step @p454 :rule bool-impl-elim :args (@t37 @t215)) % 37.42/37.65 (step @p455 :rule cong :premises (@p454) :args (@t216)) % 37.42/37.65 (step @p456 :rule eq_resolve :premises (@p196 @p455)) % 37.42/37.65 (step @p457 :rule instantiate :premises (@p456) :args ((@list @t249 @t250))) % 37.42/37.65 (step @p458 :rule cnf_or_pos :args (@t334)) % 37.42/37.65 (step @p459 :rule reordering :premises (@p458) :args ((or @t277 @t333 (not @t334)))) % 37.42/37.65 (step @p460 :rule chain_m_resolution :premises (@p459 @p341 @p457) :args (@t333 @t282 (@list @t273 @t334))) % 37.42/37.65 (step @p461 :rule cnf_and_pos :args (@t333 1)) % 37.42/37.65 (step @p462 :rule reordering :premises (@p461) :args ((or @t332 (not @t333)))) % 37.42/37.65 (step @p463 :rule chain_m_resolution :premises (@p462 @p460) :args (@t332 @t263 (@list @t333))) % 37.42/37.65 (step @p464 :rule cnf_equiv_pos1 :args (@t336)) % 37.42/37.65 (step @p465 :rule reordering :premises (@p464) :args ((or (not @t332) @t335 (not @t336)))) % 37.42/37.65 (step @p466 :rule chain_m_resolution :premises (@p465 @p463 @p453) :args (@t335 @t282 (@list @t332 @t336))) % 37.42/37.65 (step @p467 :rule instantiate :premises (@p466) :args ((@list @t294))) % 37.42/37.65 (step @p468 :rule aci_norm :args ((= (or @t338 (or @t337 @t225)) (or @t338 @t337 @t225)))) % 37.42/37.65 (step @p469 :rule bool-impl-elim :args (@t213 @t225)) % 37.42/37.65 (step @p470 :rule refl :args (@t338)) % 37.42/37.65 (step @p471 :rule nary_cong :premises (@p470 @p469) :args ((or @t338 @t226))) % 37.42/37.65 (step @p472 :rule trans :premises (@p471 @p468)) % 37.42/37.65 (step @p473 :rule bool-impl-elim :args (@t48 @t226)) % 37.42/37.65 (step @p474 :rule trans :premises (@p473 @p472)) % 37.42/37.65 (step @p475 :rule cong :premises (@p474) :args (@t227)) % 37.42/37.65 (step @p476 :rule eq_resolve :premises (@p215 @p475)) % 37.42/37.65 (step @p477 :rule instantiate :premises (@p476) :args ((@list @t253 @t294 @t251))) % 37.42/37.65 (step @p478 :rule cnf_or_pos :args (@t341)) % 37.42/37.65 (step @p479 :rule reordering :premises (@p478) :args ((or @t289 @t299 @t340 (not @t341)))) % 37.42/37.65 (step @p480 :rule chain_m_resolution :premises (@p479 @p373 @p423 @p477) :args (@t340 @t322 (@list @t286 @t298 @t341))) % 37.42/37.65 (step @p481 :rule cnf_and_pos :args (@t340 1)) % 37.42/37.65 (step @p482 :rule reordering :premises (@p481) :args ((or @t339 (not @t340)))) % 37.42/37.65 (step @p483 :rule chain_m_resolution :premises (@p482 @p480) :args (@t339 @t263 (@list @t340))) % 37.42/37.65 (step @p484 :rule cnf_or_pos :args (@t343)) % 37.42/37.65 (step @p485 :rule reordering :premises (@p484) :args ((or @t342 @t327 (not @t343)))) % 37.42/37.65 (step @p486 :rule chain_m_resolution :premises (@p485 @p483 @p467) :args (@t327 @t282 (@list @t339 @t343))) % 37.42/37.65 (step @p487 :rule cnf_and_neg :args (@t328)) % 37.42/37.65 (step @p488 :rule reordering :premises (@p487) :args ((or (not @t309) @t328 (not @t327)))) % 37.42/37.65 (step @p489 false :rule chain_m_resolution :premises (@p488 @p486 @p446 @p401) :args (false (@list false true false) (@list @t327 @t328 @t309))) % 37.42/37.65 ) % 37.42/37.65 % SZS output end Proof % 37.42/37.65 % cvc5 exiting %------------------------------------------------------------------------------