%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU268+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 : 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 08:51:11 AM UTC 2026 % Result : Theorem 35.11s 35.36s % Output : Proof 35.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU268+2 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 16:49:22 EDT 2026 % 0.17/0.34 % CPUTime : % 0.41/0.56 %----Proving TF0_NAR, FOF, or CNF % 35.11/35.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.11/35.36 --- Run --no-e-matching --full-saturate-quant at 6... % 35.11/35.36 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.11/35.36 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.11/35.36 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.11/35.36 % SZS status Theorem % 35.11/35.36 % SZS output start Proof % 35.11/35.36 ( % 35.11/35.36 (declare-sort $$unsorted 0) % 35.11/35.36 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.empty_set $$unsorted) % 35.11/35.36 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.empty (-> $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.function (-> $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.connected (-> $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.relation (-> $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.transitive (-> $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 35.11/35.36 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.11/35.36 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 35.11/35.36 (define @t1 () (@var "A" $$unsorted)) % 35.11/35.36 (define @t2 () (@var "B" $$unsorted)) % 35.11/35.36 (define @t3 () (tptp.in @t2 @t1)) % 35.11/35.36 (define @t4 () (not @t3)) % 35.11/35.36 (define @t5 () (tptp.in @t1 @t2)) % 35.11/35.36 (define @t6 () (@list @t1 @t2)) % 35.11/35.36 (define @t7 () (tptp.proper_subset @t2 @t1)) % 35.11/35.36 (define @t8 () (tptp.proper_subset @t1 @t2)) % 35.11/35.36 (define @t9 () (tptp.function @t1)) % 35.11/35.36 (define @t10 () (tptp.empty @t1)) % 35.11/35.36 (define @t11 () (@list @t1)) % 35.11/35.36 (define @t12 () (tptp.epsilon_connected @t1)) % 35.11/35.36 (define @t13 () (tptp.epsilon_transitive @t1)) % 35.11/35.36 (define @t14 () (and @t13 @t12)) % 35.11/35.36 (define @t15 () (tptp.ordinal @t1)) % 35.11/35.36 (define @t16 () (tptp.relation @t1)) % 35.11/35.36 (define @t17 () (@var "C" $$unsorted)) % 35.11/35.36 (define @t18 () (tptp.relation @t17)) % 35.11/35.36 (define @t19 () (tptp.cartesian_product2 @t1 @t2)) % 35.11/35.36 (define @t20 () (tptp.element @t17 (tptp.powerset @t19))) % 35.11/35.36 (define @t21 () (@list @t1 @t2 @t17)) % 35.11/35.36 (define @t22 () (tptp.one_to_one @t1)) % 35.11/35.36 (define @t23 () (and @t16 @t9 @t22)) % 35.11/35.36 (define @t24 () (and @t16 @t10 @t9)) % 35.11/35.36 (define @t25 () (and @t13 @t12 @t15)) % 35.11/35.36 (define @t26 () (tptp.unordered_pair @t1 @t2)) % 35.11/35.36 (define @t27 () (tptp.set_union2 @t2 @t1)) % 35.11/35.36 (define @t28 () (tptp.set_union2 @t1 @t2)) % 35.11/35.36 (define @t29 () (tptp.set_intersection2 @t1 @t2)) % 35.11/35.36 (define @t30 () (tptp.ordinal_subset @t1 @t2)) % 35.11/35.36 (define @t31 () (tptp.ordinal @t2)) % 35.11/35.36 (define @t32 () (and @t15 @t31)) % 35.11/35.36 (define @t33 () (@var "D" $$unsorted)) % 35.11/35.36 (define @t34 () (= @t17 @t33)) % 35.11/35.36 (define @t35 () (tptp.in @t17 @t1)) % 35.11/35.36 (define @t36 () (tptp.ordered_pair @t17 @t33)) % 35.11/35.36 (define @t37 () (tptp.in @t36 @t2)) % 35.11/35.36 (define @t38 () (@list @t17 @t33)) % 35.11/35.36 (define @t39 () (tptp.identity_relation @t1)) % 35.11/35.36 (define @t40 () (= @t2 @t39)) % 35.11/35.36 (define @t41 () (tptp.relation @t2)) % 35.11/35.36 (define @t42 () (tptp.subset @t2 @t1)) % 35.11/35.36 (define @t43 () (tptp.subset @t1 @t2)) % 35.11/35.36 (define @t44 () (= @t1 @t2)) % 35.11/35.36 (define @t45 () (forall @t6 (= @t44 (and @t43 @t42)))) % 35.11/35.36 (define @t46 () (@var "E" $$unsorted)) % 35.11/35.36 (define @t47 () (tptp.ordered_pair @t33 @t46)) % 35.11/35.36 (define @t48 () (tptp.in @t47 @t1)) % 35.11/35.36 (define @t49 () (tptp.in @t33 @t2)) % 35.11/35.36 (define @t50 () (tptp.in @t47 @t17)) % 35.11/35.36 (define @t51 () (@list @t33 @t46)) % 35.11/35.36 (define @t52 () (tptp.relation_dom_restriction @t1 @t2)) % 35.11/35.36 (define @t53 () (@list @t2 @t17)) % 35.11/35.36 (define @t54 () (tptp.in @t46 @t2)) % 35.11/35.36 (define @t55 () (tptp.relation_dom @t1)) % 35.11/35.36 (define @t56 () (@list @t46)) % 35.11/35.36 (define @t57 () (tptp.in @t33 @t17)) % 35.11/35.36 (define @t58 () (@list @t33)) % 35.11/35.36 (define @t59 () (= @t17 (tptp.relation_image @t1 @t2))) % 35.11/35.36 (define @t60 () (and @t16 @t9)) % 35.11/35.36 (define @t61 () (tptp.in @t46 @t1)) % 35.11/35.36 (define @t62 () (tptp.relation_rng_restriction @t1 @t2)) % 35.11/35.36 (define @t63 () (@list @t17)) % 35.11/35.36 (define @t64 () (tptp.relation_field @t1)) % 35.11/35.36 (define @t65 () (tptp.antisymmetric @t1)) % 35.11/35.36 (define @t66 () (tptp.apply @t1 @t33)) % 35.11/35.36 (define @t67 () (tptp.in @t33 @t55)) % 35.11/35.36 (define @t68 () (= @t17 (tptp.relation_inverse_image @t1 @t2))) % 35.11/35.36 (define @t69 () (tptp.ordered_pair @t46 @t33)) % 35.11/35.36 (define @t70 () (tptp.connected @t1)) % 35.11/35.36 (define @t71 () (tptp.transitive @t1)) % 35.11/35.36 (define @t72 () (tptp.in @t46 @t33)) % 35.11/35.36 (define @t73 () (@list @t1 @t2 @t17 @t33)) % 35.11/35.36 (define @t74 () (= @t2 @t17)) % 35.11/35.36 (define @t75 () (= @t1 @t36)) % 35.11/35.36 (define @t76 () (@list @t2)) % 35.11/35.36 (define @t77 () (tptp.ordered_pair @t2 @t17)) % 35.11/35.36 (define @t78 () (exists @t53 (= @t1 @t77))) % 35.11/35.36 (define @t79 () (tptp.singleton @t1)) % 35.11/35.36 (define @t80 () (tptp.succ @t1)) % 35.11/35.36 (define @t81 () (tptp.in @t17 @t2)) % 35.11/35.36 (define @t82 () (tptp.is_reflexive_in @t1 @t2)) % 35.11/35.36 (define @t83 () (tptp.relation_of2 @t17 @t1 @t2)) % 35.11/35.36 (define @t84 () (= @t2 tptp.empty_set)) % 35.11/35.36 (define @t85 () (= @t2 (tptp.set_meet @t1))) % 35.11/35.36 (define @t86 () (= @t1 tptp.empty_set)) % 35.11/35.36 (define @t87 () (tptp.in @t17 @t33)) % 35.11/35.36 (define @t88 () (tptp.in @t33 @t1)) % 35.11/35.36 (define @t89 () (not @t86)) % 35.11/35.36 (define @t90 () (= @t33 @t2)) % 35.11/35.36 (define @t91 () (tptp.subset @t17 @t33)) % 35.11/35.36 (define @t92 () (= @t37 @t91)) % 35.11/35.36 (define @t93 () (and @t35 @t88)) % 35.11/35.36 (define @t94 () (forall @t38 (=> @t93 @t92))) % 35.11/35.36 (define @t95 () (tptp.relation_field @t2)) % 35.11/35.36 (define @t96 () (and (= @t95 @t1) @t94)) % 35.11/35.36 (define @t97 () (tptp.inclusion_relation @t1)) % 35.11/35.36 (define @t98 () (= @t2 @t97)) % 35.11/35.36 (define @t99 () (= @t98 @t96)) % 35.11/35.36 (define @t100 () (=> @t41 @t99)) % 35.11/35.36 (define @t101 () (forall @t6 @t100)) % 35.11/35.36 (define @t102 () (tptp.powerset @t1)) % 35.11/35.36 (define @t103 () (= @t2 @t33)) % 35.11/35.36 (define @t104 () (tptp.in @t36 @t1)) % 35.11/35.36 (define @t105 () (tptp.empty @t2)) % 35.11/35.36 (define @t106 () (tptp.element @t2 @t1)) % 35.11/35.36 (define @t107 () (not @t10)) % 35.11/35.36 (define @t108 () (not @t84)) % 35.11/35.36 (define @t109 () (tptp.well_founded_relation @t1)) % 35.11/35.36 (define @t110 () (@var "F" $$unsorted)) % 35.11/35.36 (define @t111 () (not @t81)) % 35.11/35.36 (define @t112 () (not @t74)) % 35.11/35.36 (define @t113 () (tptp.in @t2 @t17)) % 35.11/35.36 (define @t114 () (forall @t63 (=> @t35 @t81))) % 35.11/35.36 (define @t115 () (= @t17 tptp.empty_set)) % 35.11/35.36 (define @t116 () (tptp.subset @t17 @t2)) % 35.11/35.36 (define @t117 () (tptp.is_well_founded_in @t1 @t2)) % 35.11/35.36 (define @t118 () (tptp.apply @t1 @t2)) % 35.11/35.36 (define @t119 () (= @t17 @t118)) % 35.11/35.36 (define @t120 () (tptp.in @t2 @t55)) % 35.11/35.36 (define @t121 () (tptp.in @t77 @t1)) % 35.11/35.36 (define @t122 () (tptp.in (tptp.ordered_pair @t33 @t17) @t1)) % 35.11/35.36 (define @t123 () (tptp.is_antisymmetric_in @t1 @t2)) % 35.11/35.36 (define @t124 () (tptp.cast_to_subset @t1)) % 35.11/35.36 (define @t125 () (tptp.union @t1)) % 35.11/35.36 (define @t126 () (tptp.reflexive @t1)) % 35.11/35.36 (define @t127 () (tptp.well_ordering @t1)) % 35.11/35.36 (define @t128 () (tptp.set_difference @t1 @t2)) % 35.11/35.36 (define @t129 () (and @t67 (= @t17 @t66))) % 35.11/35.36 (define @t130 () (tptp.relation_rng @t1)) % 35.11/35.36 (define @t131 () (= @t2 @t130)) % 35.11/35.36 (define @t132 () (tptp.subset_complement @t1 @t2)) % 35.11/35.36 (define @t133 () (tptp.element @t2 @t102)) % 35.11/35.36 (define @t134 () (tptp.ordered_pair @t1 @t2)) % 35.11/35.36 (define @t135 () (tptp.is_connected_in @t1 @t2)) % 35.11/35.36 (define @t136 () (tptp.is_transitive_in @t1 @t2)) % 35.11/35.36 (define @t137 () (tptp.being_limit_ordinal @t1)) % 35.11/35.36 (define @t138 () (tptp.cartesian_product2 @t2 @t2)) % 35.11/35.36 (define @t139 () (tptp.relation_restriction @t1 @t2)) % 35.11/35.36 (define @t140 () (tptp.relation_inverse @t1)) % 35.11/35.36 (define @t141 () (tptp.apply @t17 @t33)) % 35.11/35.36 (define @t142 () (tptp.relation_rng @t17)) % 35.11/35.36 (define @t143 () (tptp.relation_dom @t17)) % 35.11/35.36 (define @t144 () (tptp.relation_isomorphism @t1 @t2 @t17)) % 35.11/35.36 (define @t145 () (and @t18 (tptp.function @t17))) % 35.11/35.36 (define @t146 () (tptp.disjoint @t1 @t2)) % 35.11/35.36 (define @t147 () (tptp.relation_composition @t1 @t2)) % 35.11/35.36 (define @t148 () (tptp.complements_of_subsets @t1 @t2)) % 35.11/35.36 (define @t149 () (tptp.powerset @t102)) % 35.11/35.36 (define @t150 () (tptp.element @t2 @t149)) % 35.11/35.36 (define @t151 () (not @t44)) % 35.11/35.36 (define @t152 () (tptp.function_inverse @t1)) % 35.11/35.36 (define @t153 () (tptp.relation @t140)) % 35.11/35.36 (define @t154 () (tptp.relation_dom_as_subset @t1 @t2 @t17)) % 35.11/35.36 (define @t155 () (tptp.relation @t147)) % 35.11/35.36 (define @t156 () (and @t16 @t41)) % 35.11/35.36 (define @t157 () (tptp.powerset @t2)) % 35.11/35.36 (define @t158 () (tptp.relation_rng_as_subset @t1 @t2 @t17)) % 35.11/35.36 (define @t159 () (tptp.union_of_subsets @t1 @t2)) % 35.11/35.36 (define @t160 () (tptp.relation @t39)) % 35.11/35.36 (define @t161 () (tptp.meet_of_subsets @t1 @t2)) % 35.11/35.36 (define @t162 () (tptp.subset_difference @t1 @t2 @t17)) % 35.11/35.36 (define @t163 () (tptp.element @t17 @t102)) % 35.11/35.36 (define @t164 () (and @t133 @t163)) % 35.11/35.36 (define @t165 () (tptp.relation @t52)) % 35.11/35.36 (define @t166 () (tptp.relation @t62)) % 35.11/35.36 (define @t167 () (tptp.relation_of2_as_subset @t17 @t1 @t2)) % 35.11/35.36 (define @t168 () (tptp.relation_composition @t2 @t1)) % 35.11/35.36 (define @t169 () (and @t10 @t41)) % 35.11/35.36 (define @t170 () (tptp.relation_empty_yielding tptp.empty_set)) % 35.11/35.36 (define @t171 () (tptp.relation tptp.empty_set)) % 35.11/35.36 (define @t172 () (tptp.empty tptp.empty_set)) % 35.11/35.36 (define @t173 () (tptp.relation_empty_yielding @t1)) % 35.11/35.36 (define @t174 () (and @t16 @t173)) % 35.11/35.36 (define @t175 () (tptp.function @t2)) % 35.11/35.36 (define @t176 () (not (tptp.empty @t80))) % 35.11/35.36 (define @t177 () (not @t105)) % 35.11/35.36 (define @t178 () (and @t41 @t175)) % 35.11/35.36 (define @t179 () (tptp.empty @t55)) % 35.11/35.36 (define @t180 () (and @t107 @t16)) % 35.11/35.36 (define @t181 () (tptp.empty @t130)) % 35.11/35.36 (define @t182 () (tptp.ordered_pair @t2 @t2)) % 35.11/35.36 (define @t183 () (tptp.in @t182 @t1)) % 35.11/35.36 (define @t184 () (tptp.in @t2 @t64)) % 35.11/35.36 (define @t185 () (forall @t76 (=> @t184 @t183))) % 35.11/35.36 (define @t186 () (= @t126 @t185)) % 35.11/35.36 (define @t187 () (=> @t16 @t186)) % 35.11/35.36 (define @t188 () (forall @t11 @t187)) % 35.11/35.36 (define @t189 () (tptp.disjoint @t79 @t2)) % 35.11/35.36 (define @t190 () (not @t5)) % 35.11/35.36 (define @t191 () (tptp.relation_dom @t2)) % 35.11/35.36 (define @t192 () (tptp.in (tptp.ordered_pair @t17 @t2) @t1)) % 35.11/35.36 (define @t193 () (not @t121)) % 35.11/35.36 (define @t194 () (tptp.singleton @t2)) % 35.11/35.36 (define @t195 () (tptp.union @t2)) % 35.11/35.36 (define @t196 () (tptp.in @t1 @t17)) % 35.11/35.36 (define @t197 () (tptp.element @t1 @t157)) % 35.11/35.36 (define @t198 () (tptp.relation_dom_restriction @t17 @t1)) % 35.11/35.36 (define @t199 () (tptp.in @t2 (tptp.relation_dom @t198))) % 35.11/35.36 (define @t200 () (tptp.set_difference @t2 @t17)) % 35.11/35.36 (define @t201 () (= @t1 @t17)) % 35.11/35.36 (define @t202 () (tptp.relation_rng @t62)) % 35.11/35.36 (define @t203 () (tptp.relation_rng @t2)) % 35.11/35.36 (define @t204 () (tptp.cartesian_product2 @t1 @t17)) % 35.11/35.36 (define @t205 () (forall @t63 (not (and @t116 (not (tptp.are_equipotent @t17 @t2)) @t111)))) % 35.11/35.36 (define @t206 () (tptp.powerset @t17)) % 35.11/35.36 (define @t207 () (forall @t38 (=> (and @t81 (tptp.subset @t33 @t17)) @t49))) % 35.11/35.36 (define @t208 () (tptp.relation_dom_restriction @t17 @t2)) % 35.11/35.36 (define @t209 () (tptp.relation_image @t2 @t1)) % 35.11/35.36 (define @t210 () (tptp.relation_inverse_image @t2 @t1)) % 35.11/35.36 (define @t211 () (tptp.relation_image @t2 @t210)) % 35.11/35.36 (define @t212 () (tptp.set_intersection2 @t191 @t1)) % 35.11/35.36 (define @t213 () (tptp.subset @t1 @t203)) % 35.11/35.36 (define @t214 () (tptp.relation_of2_as_subset @t33 @t17 @t2)) % 35.11/35.36 (define @t215 () (tptp.relation_of2_as_subset @t33 @t17 @t1)) % 35.11/35.36 (define @t216 () (tptp.relation_rng @t147)) % 35.11/35.36 (define @t217 () (tptp.relation_inverse_image @t17 @t2)) % 35.11/35.36 (define @t218 () (tptp.relation_restriction @t17 @t2)) % 35.11/35.36 (define @t219 () (tptp.relation_restriction @t2 @t1)) % 35.11/35.36 (define @t220 () (tptp.relation_dom_restriction @t2 @t1)) % 35.11/35.36 (define @t221 () (tptp.relation_field @t17)) % 35.11/35.36 (define @t222 () (tptp.in @t1 @t221)) % 35.11/35.36 (define @t223 () (tptp.set_intersection2 @t2 @t17)) % 35.11/35.36 (define @t224 () (tptp.subset @t1 @t17)) % 35.11/35.36 (define @t225 () (tptp.element @t1 @t2)) % 35.11/35.36 (define @t226 () (tptp.in @t1 @t143)) % 35.11/35.36 (define @t227 () (tptp.in @t134 @t17)) % 35.11/35.36 (define @t228 () (tptp.relation_field @t219)) % 35.11/35.36 (define @t229 () (tptp.apply @t17 @t1)) % 35.11/35.36 (define @t230 () (tptp.relation_composition @t17 @t2)) % 35.11/35.36 (define @t231 () (tptp.in @t1 (tptp.relation_dom @t230))) % 35.11/35.36 (define @t232 () (tptp.reflexive @t2)) % 35.11/35.36 (define @t233 () (tptp.connected @t2)) % 35.11/35.36 (define @t234 () (tptp.transitive @t2)) % 35.11/35.36 (define @t235 () (tptp.antisymmetric @t2)) % 35.11/35.36 (define @t236 () (forall @t11 (tptp.reflexive @t97))) % 35.11/35.36 (define @t237 () (tptp.well_founded_relation @t2)) % 35.11/35.36 (define @t238 () (tptp.well_ordering @t2)) % 35.11/35.36 (define @t239 () (tptp.apply @t2 @t17)) % 35.11/35.36 (define @t240 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 35.11/35.36 (define @t241 () (and @t35 @t81)) % 35.11/35.36 (define @t242 () (not @t146)) % 35.11/35.36 (define @t243 () (tptp.succ @t2)) % 35.11/35.36 (define @t244 () (= @t1 @t243)) % 35.11/35.36 (define @t245 () (tptp.subset_complement @t1 @t17)) % 35.11/35.36 (define @t246 () (tptp.disjoint @t2 @t17)) % 35.11/35.36 (define @t247 () (tptp.relation_dom @t147)) % 35.11/35.36 (define @t248 () (tptp.element @t2 @t206)) % 35.11/35.36 (define @t249 () (tptp.in @t17 @t29)) % 35.11/35.36 (define @t250 () (and (tptp.in @t17 @t130) (= @t33 @t239))) % 35.11/35.36 (define @t251 () (tptp.function_inverse @t2)) % 35.11/35.36 (define @t252 () (= @t130 tptp.empty_set)) % 35.11/35.36 (define @t253 () (= @t55 tptp.empty_set)) % 35.11/35.36 (define @t254 () (= (tptp.apply @t198 @t2) (tptp.apply @t17 @t2))) % 35.11/35.36 (define @t255 () (= @t79 (tptp.unordered_pair @t2 @t17))) % 35.11/35.36 (define @t256 () (not @t88)) % 35.11/35.36 (define @t257 () (not @t35)) % 35.11/35.36 (define @t258 () (or @t257 @t256 @t92)) % 35.11/35.36 (define @t259 () (= @t98 (and (= @t1 @t95) (forall @t38 @t258)))) % 35.11/35.36 (define @t260 () (@quantifiers_skolemize @t236 0)) % 35.11/35.36 (define @t261 () (tptp.inclusion_relation @t260)) % 35.11/35.36 (define @t262 () (tptp.in @t36 @t261)) % 35.11/35.36 (define @t263 () (not (tptp.in @t33 @t260))) % 35.11/35.36 (define @t264 () (not (tptp.in @t17 @t260))) % 35.11/35.36 (define @t265 () (forall @t38 (or @t264 @t263 (= @t91 @t262)))) % 35.11/35.36 (define @t266 () (tptp.relation_field @t261)) % 35.11/35.36 (define @t267 () (= @t260 @t266)) % 35.11/35.36 (define @t268 () (and @t267 @t265)) % 35.11/35.36 (define @t269 () (or @t264 @t263 (= @t262 @t91))) % 35.11/35.36 (define @t270 () (forall @t38 @t269)) % 35.11/35.36 (define @t271 () (and @t267 @t270)) % 35.11/35.36 (define @t272 () (= (= @t261 @t261) @t271)) % 35.11/35.36 (define @t273 () (tptp.relation @t261)) % 35.11/35.36 (define @t274 () (not @t273)) % 35.11/35.36 (define @t275 () (or @t274 @t272)) % 35.11/35.36 (define @t276 () (forall @t6 (or (not @t41) @t259))) % 35.11/35.36 (define @t277 () (or @t274 @t268)) % 35.11/35.36 (define @t278 () (@list false)) % 35.11/35.36 (define @t279 () (@list false false)) % 35.11/35.36 (define @t280 () (not @t268)) % 35.11/35.36 (define @t281 () (@list @t268)) % 35.11/35.36 (define @t282 () (forall @t76 (or (not (tptp.in @t2 @t266)) (tptp.in @t182 @t261)))) % 35.11/35.36 (define @t283 () (@quantifiers_skolemize @t282 0)) % 35.11/35.36 (define @t284 () (tptp.subset @t283 @t283)) % 35.11/35.36 (define @t285 () (tptp.in (tptp.ordered_pair @t283 @t283) @t261)) % 35.11/35.36 (define @t286 () (tptp.in @t283 @t260)) % 35.11/35.36 (define @t287 () (not @t286)) % 35.11/35.36 (define @t288 () (or @t287 @t287 (= @t284 @t285))) % 35.11/35.36 (define @t289 () (@list @t283 @t283)) % 35.11/35.36 (define @t290 () (= @t285 @t284)) % 35.11/35.36 (define @t291 () (or @t287 @t287 @t290)) % 35.11/35.36 (define @t292 () (= @t126 (forall @t76 (or (not @t184) @t183)))) % 35.11/35.36 (define @t293 () (tptp.reflexive @t261)) % 35.11/35.36 (define @t294 () (= @t293 @t282)) % 35.11/35.36 (define @t295 () (or @t274 @t294)) % 35.11/35.36 (define @t296 () (not @t282)) % 35.11/35.36 (define @t297 () (@list true false)) % 35.11/35.36 (define @t298 () (tptp.in @t283 @t266)) % 35.11/35.36 (define @t299 () (not @t298)) % 35.11/35.36 (define @t300 () (or @t299 @t285)) % 35.11/35.36 (define @t301 () (@list true)) % 35.11/35.36 (define @t302 () (@list @t300)) % 35.11/35.36 (define @t303 () (not @t284)) % 35.11/35.36 (define @t304 () (and @t284 @t284)) % 35.11/35.36 (define @t305 () (= (= @t283 @t283) @t304)) % 35.11/35.36 (assume @p1 (forall @t6 (=> @t5 @t4))) % 35.11/35.36 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 35.11/35.36 (assume @p3 (forall @t11 (=> @t10 @t9))) % 35.11/35.36 (assume @p4 (forall @t11 (=> @t15 @t14))) % 35.11/35.36 (assume @p5 (forall @t11 (=> @t10 @t16))) % 35.11/35.36 (assume @p6 (forall @t21 (=> @t20 @t18))) % 35.11/35.36 (assume @p7 (forall @t11 (=> @t24 @t23))) % 35.11/35.36 (assume @p8 (forall @t11 (=> @t14 @t15))) % 35.11/35.36 (assume @p9 (forall @t11 (=> @t10 @t25))) % 35.11/35.36 (assume @p10 (forall @t6 (= @t26 (tptp.unordered_pair @t2 @t1)))) % 35.11/35.36 (assume @p11 (forall @t6 (= @t28 @t27))) % 35.11/35.36 (assume @p12 (forall @t6 (= @t29 (tptp.set_intersection2 @t2 @t1)))) % 35.11/35.36 (assume @p13 (forall @t6 (=> @t32 (or @t30 (tptp.ordinal_subset @t2 @t1))))) % 35.11/35.36 (assume @p14 (forall @t6 (=> @t41 (= @t40 (forall @t38 (= @t37 (and @t35 @t34))))))) % 35.11/35.36 (assume @p15 @t45) % 35.11/35.36 (assume @p16 (forall @t11 (=> @t16 (forall @t53 (=> @t18 (= (= @t17 @t52) (forall @t51 (= @t50 (and @t49 @t48))))))))) % 35.11/35.36 (assume @p17 (forall @t11 (=> @t60 (forall @t53 (= @t59 (forall @t58 (= @t57 (exists @t56 (and (tptp.in @t46 @t55) @t54 (= @t33 (tptp.apply @t1 @t46))))))))))) % 35.11/35.36 (assume @p18 (forall @t6 (=> @t41 (forall @t63 (=> @t18 (= (= @t17 @t62) (forall @t51 (= @t50 (and @t61 (tptp.in @t47 @t2)))))))))) % 35.11/35.36 (assume @p19 (forall @t11 (=> @t16 (= @t65 (tptp.is_antisymmetric_in @t1 @t64))))) % 35.11/35.36 (assume @p20 (forall @t11 (=> @t60 (forall @t53 (= @t68 (forall @t58 (= @t57 (and @t67 (tptp.in @t66 @t2))))))))) % 35.11/35.36 (assume @p21 (forall @t11 (=> @t16 (forall @t53 (= @t59 (forall @t58 (= @t57 (exists @t56 (and (tptp.in @t69 @t1) @t54))))))))) % 35.11/35.36 (assume @p22 (forall @t11 (=> @t16 (forall @t53 (= @t68 (forall @t58 (= @t57 (exists @t56 (and @t48 @t54))))))))) % 35.11/35.36 (assume @p23 (forall @t11 (=> @t16 (= @t70 (tptp.is_connected_in @t1 @t64))))) % 35.11/35.36 (assume @p24 (forall @t11 (=> @t16 (= @t71 (tptp.is_transitive_in @t1 @t64))))) % 35.11/35.36 (assume @p25 (forall @t73 (= (= @t33 (tptp.unordered_triple @t1 @t2 @t17)) (forall @t56 (= @t72 (not (and (not (= @t46 @t1)) (not (= @t46 @t2)) (not (= @t46 @t17))))))))) % 35.11/35.36 (assume @p26 (forall @t11 (=> @t78 (forall @t76 (= (= @t2 (tptp.pair_first @t1)) (forall @t38 (=> @t75 @t74))))))) % 35.11/35.36 (assume @p27 (forall @t11 (= @t80 (tptp.set_union2 @t1 @t79)))) % 35.11/35.36 (assume @p28 (forall @t11 (= @t16 (forall @t76 (not (and @t3 (forall @t38 (not (= @t2 @t36))))))))) % 35.11/35.36 (assume @p29 (forall @t11 (=> @t16 (forall @t76 (= @t82 (forall @t63 (=> @t81 (tptp.in (tptp.ordered_pair @t17 @t17) @t1)))))))) % 35.11/35.36 (assume @p30 (forall @t21 (= @t83 (tptp.subset @t17 @t19)))) % 35.11/35.36 (assume @p31 (forall @t6 (and (=> @t89 (= @t85 (forall @t63 (= @t81 (forall @t58 (=> @t88 @t87)))))) (=> @t86 (= @t85 @t84))))) % 35.11/35.36 (assume @p32 (forall @t6 (= (= @t2 @t79) (forall @t63 (= @t81 (= @t17 @t1)))))) % 35.11/35.36 (assume @p33 (forall @t11 (=> @t16 (forall @t53 (= (= @t17 (tptp.fiber @t1 @t2)) (forall @t58 (= @t57 (and (not @t90) (tptp.in (tptp.ordered_pair @t33 @t2) @t1))))))))) % 35.11/35.36 (assume @p34 @t101) % 35.11/35.36 (assume @p35 (forall @t11 (= @t86 (forall @t76 @t4)))) % 35.11/35.36 (assume @p36 (forall @t6 (= (= @t2 @t102) (forall @t63 (= @t81 (tptp.subset @t17 @t1)))))) % 35.11/35.36 (assume @p37 (forall @t11 (=> @t78 (forall @t76 (= (= @t2 (tptp.pair_second @t1)) (forall @t38 (=> @t75 @t103))))))) % 35.11/35.36 (assume @p38 (forall @t11 (= @t13 (forall @t76 (=> @t3 @t42))))) % 35.11/35.36 (assume @p39 (forall @t11 (=> @t16 (forall @t76 (=> @t41 (= @t44 (forall @t38 (= @t104 @t37)))))))) % 35.11/35.36 (assume @p40 (forall @t6 (and (=> @t107 (= @t106 @t3)) (=> @t10 (= @t106 @t105))))) % 35.11/35.36 (assume @p41 (forall @t21 (= (= @t17 @t26) (forall @t58 (= @t57 (or (= @t33 @t1) @t90)))))) % 35.11/35.36 (assume @p42 (forall @t11 (=> @t16 (= @t109 (forall @t76 (not (and (tptp.subset @t2 @t64) @t108 (forall @t63 (not (and @t81 (tptp.disjoint (tptp.fiber @t1 @t17) @t2))))))))))) % 35.11/35.36 (assume @p43 (forall @t21 (= (= @t17 @t28) (forall @t58 (= @t57 (or @t88 @t49)))))) % 35.11/35.36 (assume @p44 (forall @t21 (= (= @t17 @t19) (forall @t58 (= @t57 (exists (@list @t46 @t110) (and @t61 (tptp.in @t110 @t2) (= @t33 (tptp.ordered_pair @t46 @t110))))))))) % 35.11/35.36 (assume @p45 (forall @t11 (= @t12 (forall @t53 (not (and @t3 @t35 (not @t113) @t112 @t111)))))) % 35.11/35.36 (assume @p46 (forall @t11 (=> @t16 (forall @t76 (=> @t41 (= @t43 (forall @t38 (=> @t104 @t37)))))))) % 35.11/35.36 (assume @p47 (forall @t6 (= @t43 @t114))) % 35.11/35.36 (assume @p48 (forall @t11 (=> @t16 (forall @t76 (= @t117 (forall @t63 (not (and @t116 (not @t115) (forall @t58 (not (and @t57 (tptp.disjoint (tptp.fiber @t1 @t33) @t17)))))))))))) % 35.11/35.36 (assume @p49 (forall @t21 (= (= @t17 @t29) (forall @t58 (= @t57 (and @t88 @t49)))))) % 35.11/35.36 (assume @p50 (forall @t11 (=> @t60 (forall @t53 (and (=> @t120 (= @t119 @t121)) (=> (not @t120) (= @t119 @t115))))))) % 35.11/35.36 (assume @p51 (forall @t11 (= @t15 @t14))) % 35.11/35.36 (assume @p52 (forall @t11 (=> @t16 (forall @t76 (= (= @t2 @t55) (forall @t63 (= @t81 (exists @t58 @t104)))))))) % 35.11/35.36 (assume @p53 (forall @t11 (=> @t16 (forall @t76 (= @t123 (forall @t38 (=> (and @t81 @t49 @t104 @t122) @t34))))))) % 35.11/35.36 (assume @p54 (forall @t11 (= @t124 @t1))) % 35.11/35.36 (assume @p55 (forall @t6 (= (= @t2 @t125) (forall @t63 (= @t81 (exists @t58 (and @t87 @t88))))))) % 35.11/35.36 (assume @p56 (forall @t11 (=> @t16 (= @t127 (and @t126 @t71 @t65 @t70 @t109))))) % 35.11/35.36 (assume @p57 (forall @t21 (= (= @t17 @t128) (forall @t58 (= @t57 (and @t88 (not @t49))))))) % 35.11/35.36 (assume @p58 (forall @t11 (=> @t60 (forall @t76 (= @t131 (forall @t63 (= @t81 (exists @t58 @t129)))))))) % 35.11/35.36 (assume @p59 (forall @t11 (=> @t16 (forall @t76 (= @t131 (forall @t63 (= @t81 (exists @t58 @t122)))))))) % 35.11/35.36 (assume @p60 (forall @t6 (=> @t133 (= @t132 @t128)))) % 35.11/35.36 (assume @p61 (forall @t6 (= @t134 (tptp.unordered_pair @t26 @t79)))) % 35.11/35.36 (assume @p62 (forall @t11 (=> @t16 (forall @t76 (= (tptp.well_orders @t1 @t2) (and @t82 @t136 @t123 @t135 @t117)))))) % 35.11/35.36 (assume @p63 (forall @t11 (= @t137 (= @t1 @t125)))) % 35.11/35.36 (assume @p64 (forall @t11 (=> @t16 (= @t64 (tptp.set_union2 @t55 @t130))))) % 35.11/35.36 (assume @p65 (forall @t11 (=> @t16 (forall @t76 (= @t135 (forall @t38 (not (and @t81 @t49 (not @t34) (not @t104) (not @t122))))))))) % 35.11/35.36 (assume @p66 (forall @t11 (=> @t16 (forall @t76 (= @t139 (tptp.set_intersection2 @t1 @t138)))))) % 35.11/35.36 (assume @p67 (forall @t11 (=> @t16 (forall @t76 (=> @t41 (= (= @t2 @t140) (forall @t38 (= @t37 @t122)))))))) % 35.11/35.36 (assume @p68 (forall @t11 (=> @t16 (forall @t76 (=> @t41 (forall @t63 (=> @t145 (= @t144 (and (= @t143 @t64) (= @t142 @t95) (tptp.one_to_one @t17) (forall @t51 (= @t48 (and (tptp.in @t33 @t64) (tptp.in @t46 @t64) (tptp.in (tptp.ordered_pair @t141 (tptp.apply @t17 @t46)) @t2))))))))))))) % 35.11/35.36 (assume @p69 (forall @t6 (= @t146 (= @t29 tptp.empty_set)))) % 35.11/35.36 (assume @p70 (forall @t11 (=> @t60 (= @t22 (forall @t53 (=> (and @t120 (tptp.in @t17 @t55) (= @t118 (tptp.apply @t1 @t17))) @t74)))))) % 35.11/35.36 (assume @p71 (forall @t11 (=> @t16 (forall @t76 (=> @t41 (forall @t63 (=> @t18 (= (= @t17 @t147) (forall @t51 (= @t50 (exists (@list @t110) (and (tptp.in (tptp.ordered_pair @t33 @t110) @t1) (tptp.in (tptp.ordered_pair @t110 @t46) @t2))))))))))))) % 35.11/35.36 (assume @p72 (forall @t11 (=> @t16 (forall @t76 (= @t136 (forall (@list @t17 @t33 @t46) (=> (and @t81 @t49 @t54 @t104 @t48) (tptp.in (tptp.ordered_pair @t17 @t46) @t1)))))))) % 35.11/35.36 (assume @p73 (forall @t6 (=> @t150 (forall @t63 (=> (tptp.element @t17 @t149) (= (= @t17 @t148) (forall @t58 (=> (tptp.element @t33 @t102) (= @t57 (tptp.in (tptp.subset_complement @t1 @t33) @t2)))))))))) % 35.11/35.36 (assume @p74 (forall @t6 (= @t8 (and @t43 @t151)))) % 35.11/35.36 (assume @p75 (forall @t11 (=> @t60 (=> @t22 (= @t152 @t140))))) % 35.11/35.36 (assume @p76 (forall @t11 (=> @t16 (= @t126 (tptp.is_reflexive_in @t1 @t64))))) % 35.11/35.36 (assume @p77 true) % 35.11/35.36 (assume @p78 (forall @t11 (tptp.relation @t97))) % 35.11/35.36 (assume @p79 (forall @t11 (=> @t60 (and (tptp.relation @t152) (tptp.function @t152))))) % 35.11/35.36 (assume @p80 (forall @t11 (tptp.element @t124 @t102))) % 35.11/35.36 (assume @p81 (forall @t6 (=> @t16 (tptp.relation @t139)))) % 35.11/35.36 (assume @p82 (forall @t6 (=> @t133 (tptp.element @t132 @t102)))) % 35.11/35.36 (assume @p83 (forall @t11 (=> @t16 @t153))) % 35.11/35.36 (assume @p84 (forall @t21 (=> @t83 (tptp.element @t154 @t102)))) % 35.11/35.36 (assume @p85 (forall @t6 (=> @t156 @t155))) % 35.11/35.36 (assume @p86 (forall @t21 (=> @t83 (tptp.element @t158 @t157)))) % 35.11/35.36 (assume @p87 (forall @t6 (=> @t150 (tptp.element @t159 @t102)))) % 35.11/35.36 (assume @p88 (forall @t11 @t160)) % 35.11/35.36 (assume @p89 (forall @t6 (=> @t150 (tptp.element @t161 @t102)))) % 35.11/35.36 (assume @p90 (forall @t21 (=> @t164 (tptp.element @t162 @t102)))) % 35.11/35.36 (assume @p91 (forall @t6 (=> @t16 @t165))) % 35.11/35.36 (assume @p92 (forall @t6 (=> @t150 (tptp.element @t148 @t149)))) % 35.11/35.36 (assume @p93 (forall @t6 (=> @t41 @t166))) % 35.11/35.36 (assume @p94 (forall @t21 (=> @t167 @t20))) % 35.11/35.36 (assume @p95 (forall @t6 (exists @t63 @t83))) % 35.11/35.36 (assume @p96 (forall @t11 (exists @t76 @t106))) % 35.11/35.36 (assume @p97 (forall @t6 (exists @t63 @t167))) % 35.11/35.36 (assume @p98 (forall @t6 (=> @t169 (and (tptp.empty @t168) (tptp.relation @t168))))) % 35.11/35.36 (assume @p99 (forall @t11 (=> @t10 (and (tptp.empty @t140) @t153)))) % 35.11/35.36 (assume @p100 (and @t172 @t171 @t170)) % 35.11/35.36 (assume @p101 (forall @t6 (=> @t174 (and @t165 (tptp.relation_empty_yielding @t52))))) % 35.11/35.36 (assume @p102 (forall @t6 (=> (and @t16 @t9 @t41 @t175) (and @t155 (tptp.function @t147))))) % 35.11/35.36 (assume @p103 (forall @t11 @t176)) % 35.11/35.36 (assume @p104 (forall @t6 (=> @t156 (tptp.relation @t29)))) % 35.11/35.36 (assume @p105 (forall @t11 (not (tptp.empty @t102)))) % 35.11/35.36 (assume @p106 @t172) % 35.11/35.36 (assume @p107 (forall @t6 (not (tptp.empty @t134)))) % 35.11/35.36 (assume @p108 (forall @t11 (and @t160 (tptp.function @t39)))) % 35.11/35.36 (assume @p109 (and @t171 @t170 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t172 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 35.11/35.36 (assume @p110 (forall @t6 (=> @t156 (tptp.relation @t28)))) % 35.11/35.36 (assume @p111 (forall @t11 (not (tptp.empty @t79)))) % 35.11/35.36 (assume @p112 (forall @t6 (=> @t107 (not (tptp.empty @t28))))) % 35.11/35.36 (assume @p113 (forall @t11 (=> @t23 (and @t153 (tptp.function @t140))))) % 35.11/35.36 (assume @p114 (forall @t11 (=> @t15 (and @t176 (tptp.epsilon_transitive @t80) (tptp.epsilon_connected @t80) (tptp.ordinal @t80))))) % 35.11/35.36 (assume @p115 (forall @t6 (=> @t156 (tptp.relation @t128)))) % 35.11/35.36 (assume @p116 (forall @t6 (not (tptp.empty @t26)))) % 35.11/35.36 (assume @p117 (forall @t6 (=> @t107 (not (tptp.empty @t27))))) % 35.11/35.36 (assume @p118 (forall @t6 (=> @t60 (and @t165 (tptp.function @t52))))) % 35.11/35.36 (assume @p119 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t125) (tptp.epsilon_connected @t125) (tptp.ordinal @t125))))) % 35.11/35.36 (assume @p120 (and @t172 @t171)) % 35.11/35.36 (assume @p121 (forall @t6 (=> (and @t107 @t177) (not (tptp.empty @t19))))) % 35.11/35.36 (assume @p122 (forall @t6 (=> @t178 (and @t166 (tptp.function @t62))))) % 35.11/35.36 (assume @p123 (forall @t11 (=> @t180 (not @t179)))) % 35.11/35.36 (assume @p124 (forall @t11 (=> @t180 (not @t181)))) % 35.11/35.36 (assume @p125 (forall @t11 (=> @t10 (and @t179 (tptp.relation @t55))))) % 35.11/35.36 (assume @p126 (forall @t11 (=> @t10 (and @t181 (tptp.relation @t130))))) % 35.11/35.36 (assume @p127 (forall @t6 (=> @t169 (and (tptp.empty @t147) @t155)))) % 35.11/35.36 (assume @p128 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 35.11/35.36 (assume @p129 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 35.11/35.36 (assume @p130 (forall @t6 (=> @t133 (= (tptp.subset_complement @t1 @t132) @t2)))) % 35.11/35.36 (assume @p131 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t140) @t1)))) % 35.11/35.36 (assume @p132 (forall @t6 (=> @t150 (= (tptp.complements_of_subsets @t1 @t148) @t2)))) % 35.11/35.36 (assume @p133 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 35.11/35.36 (assume @p134 @t188) % 35.11/35.36 (assume @p135 (forall @t11 (not (= @t79 tptp.empty_set)))) % 35.11/35.36 (assume @p136 (forall @t6 (=> @t5 (= (tptp.set_union2 @t79 @t2) @t2)))) % 35.11/35.36 (assume @p137 (forall @t6 (not (and @t189 @t5)))) % 35.11/35.36 (assume @p138 (forall @t6 (=> @t190 @t189))) % 35.11/35.36 (assume @p139 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_dom @t62) @t191)))) % 35.11/35.36 (assume @p140 (forall @t11 (=> @t16 (= @t71 (forall (@list @t2 @t17 @t33) (=> (and @t121 @t104) (tptp.in (tptp.ordered_pair @t2 @t33) @t1))))))) % 35.11/35.36 (assume @p141 (forall @t6 (= (tptp.subset @t79 @t2) @t5))) % 35.11/35.36 (assume @p142 (forall @t6 (= (= @t128 tptp.empty_set) @t43))) % 35.11/35.36 (assume @p143 (forall @t6 (=> @t133 (forall @t63 (=> @t81 @t35))))) % 35.11/35.36 (assume @p144 (forall @t11 (=> @t16 (= @t65 (forall @t53 (=> (and @t121 @t192) @t74)))))) % 35.11/35.36 (assume @p145 (forall @t21 (=> @t43 (or @t35 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t17))))))) % 35.11/35.36 (assume @p146 (forall @t11 (=> @t16 (= @t70 (forall @t53 (not (and @t184 (tptp.in @t17 @t64) @t112 @t193 (not @t192)))))))) % 35.11/35.36 (assume @p147 (forall @t6 (= (tptp.subset @t1 @t194) (or @t86 (= @t1 @t194))))) % 35.11/35.36 (assume @p148 (forall @t6 (=> @t5 (tptp.subset @t1 @t195)))) % 35.11/35.36 (assume @p149 (forall @t73 (= (tptp.in @t134 (tptp.cartesian_product2 @t17 @t33)) (and @t196 (tptp.in @t2 @t33))))) % 35.11/35.36 (assume @p150 (forall @t6 (=> @t114 @t197))) % 35.11/35.36 (assume @p151 (forall @t21 (=> @t145 (= @t199 (and (tptp.in @t2 @t143) @t3))))) % 35.11/35.36 (assume @p152 (exists @t11 @t60)) % 35.11/35.36 (assume @p153 (exists @t11 @t25)) % 35.11/35.36 (assume @p154 (exists @t11 (and @t10 @t16))) % 35.11/35.36 (assume @p155 (forall @t11 (=> @t107 (exists @t76 (and @t133 @t177))))) % 35.11/35.36 (assume @p156 (exists @t11 @t10)) % 35.11/35.36 (assume @p157 (exists @t11 @t24)) % 35.11/35.36 (assume @p158 (exists @t11 (and @t16 @t9 @t22 @t10 @t13 @t12 @t15))) % 35.11/35.36 (assume @p159 (exists @t11 @t180)) % 35.11/35.36 (assume @p160 (forall @t11 (exists @t76 (and @t133 @t105)))) % 35.11/35.36 (assume @p161 (exists @t11 @t107)) % 35.11/35.36 (assume @p162 (exists @t11 @t23)) % 35.11/35.36 (assume @p163 (exists @t11 (and @t107 @t13 @t12 @t15))) % 35.11/35.36 (assume @p164 (exists @t11 @t174)) % 35.11/35.36 (assume @p165 (exists @t11 (and @t16 @t173 @t9))) % 35.11/35.36 (assume @p166 (forall @t21 (=> @t83 (= @t154 @t143)))) % 35.11/35.36 (assume @p167 (forall @t21 (=> @t83 (= @t158 @t142)))) % 35.11/35.36 (assume @p168 (forall @t6 (=> @t150 (= @t159 @t195)))) % 35.11/35.36 (assume @p169 (forall @t6 (=> @t150 (= @t161 (tptp.set_meet @t2))))) % 35.11/35.36 (assume @p170 (forall @t21 (=> @t164 (= @t162 @t200)))) % 35.11/35.36 (assume @p171 (forall @t21 (= @t167 @t83))) % 35.11/35.36 (assume @p172 (forall @t6 (=> @t32 (= @t30 @t43)))) % 35.11/35.36 (assume @p173 (forall @t6 (=> @t32 (tptp.ordinal_subset @t1 @t1)))) % 35.11/35.36 (assume @p174 (forall @t6 (tptp.subset @t1 @t1))) % 35.11/35.36 (assume @p175 (forall @t6 (=> @t146 (tptp.disjoint @t2 @t1)))) % 35.11/35.36 (assume @p176 (forall @t11 (tptp.in @t1 @t80))) % 35.11/35.36 (assume @p177 (forall @t73 (not (and (= @t26 (tptp.unordered_pair @t17 @t33)) (not @t201) (not (= @t1 @t33)))))) % 35.11/35.36 (assume @p178 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t142)))))) % 35.11/35.36 (assume @p179 (forall @t6 (=> @t41 (tptp.subset @t202 @t1)))) % 35.11/35.36 (assume @p180 (forall @t6 (=> @t41 (tptp.subset @t62 @t2)))) % 35.11/35.36 (assume @p181 (forall @t6 (=> @t41 (tptp.subset @t202 @t203)))) % 35.11/35.36 (assume @p182 (forall @t21 (=> @t43 (and (tptp.subset @t204 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 35.11/35.36 (assume @p183 (forall @t6 (=> @t41 (= @t202 (tptp.set_intersection2 @t203 @t1))))) % 35.11/35.36 (assume @p184 (forall @t73 (=> (and @t43 @t91) (tptp.subset @t204 (tptp.cartesian_product2 @t2 @t33))))) % 35.11/35.36 (assume @p185 (forall @t21 (=> @t167 (and (tptp.subset @t143 @t1) (tptp.subset @t142 @t2))))) % 35.11/35.36 (assume @p186 (forall @t6 (=> @t43 (= @t28 @t2)))) % 35.11/35.36 (assume @p187 (forall @t11 (exists @t76 (and @t5 @t207 (forall @t63 (=> @t81 (tptp.in @t206 @t2))) @t205)))) % 35.11/35.36 (assume @p188 (forall @t21 (=> @t18 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t208))))) % 35.11/35.36 (assume @p189 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_image @t17 @t2)) (exists @t58 (and (tptp.in @t33 @t143) (tptp.in (tptp.ordered_pair @t33 @t1) @t17) @t49)))))) % 35.11/35.36 (assume @p190 (forall @t6 (=> @t41 (tptp.subset @t209 @t203)))) % 35.11/35.36 (assume @p191 (forall @t6 (=> @t178 (tptp.subset @t211 @t1)))) % 35.11/35.36 (assume @p192 (forall @t6 (=> @t41 (= @t209 (tptp.relation_image @t2 @t212))))) % 35.11/35.36 (assume @p193 (forall @t6 (=> @t41 (=> (tptp.subset @t1 @t191) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t209)))))) % 35.11/35.36 (assume @p194 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t55) @t130)))) % 35.11/35.36 (assume @p195 (forall @t6 (=> @t178 (=> @t213 (= @t211 @t1))))) % 35.11/35.36 (assume @p196 (forall @t73 (=> @t215 (=> (tptp.subset (tptp.relation_rng @t33) @t2) @t214)))) % 35.11/35.36 (assume @p197 (forall @t11 (=> @t16 (forall @t76 (=> @t41 (= @t216 (tptp.relation_image @t2 @t130))))))) % 35.11/35.36 (assume @p198 (forall @t21 (=> @t18 (= (tptp.in @t1 @t217) (exists @t58 (and (tptp.in @t33 @t142) (tptp.in (tptp.ordered_pair @t1 @t33) @t17) @t49)))))) % 35.11/35.36 (assume @p199 (forall @t6 (=> @t41 (tptp.subset @t210 @t191)))) % 35.11/35.36 (assume @p200 (forall @t73 (=> @t215 (=> @t43 @t214)))) % 35.11/35.36 (assume @p201 (forall @t21 (=> @t18 (= (tptp.in @t1 @t218) (and @t196 (tptp.in @t1 @t138)))))) % 35.11/35.36 (assume @p202 (forall @t6 (=> @t41 (not (and @t89 @t213 (= @t210 tptp.empty_set)))))) % 35.11/35.36 (assume @p203 (forall @t21 (=> @t18 (=> @t43 (tptp.subset (tptp.relation_inverse_image @t17 @t1) @t217))))) % 35.11/35.36 (assume @p204 (forall @t6 (=> @t41 (= @t219 (tptp.relation_dom_restriction @t62 @t1))))) % 35.11/35.36 (assume @p205 (forall @t6 (tptp.subset @t29 @t1))) % 35.11/35.36 (assume @p206 (forall @t6 (=> @t41 (= @t219 (tptp.relation_rng_restriction @t1 @t220))))) % 35.11/35.36 (assume @p207 (forall @t21 (=> @t18 (=> (tptp.in @t1 (tptp.relation_field @t218)) (and @t222 @t5))))) % 35.11/35.36 (assume @p208 (forall @t21 (=> (and @t43 @t224) (tptp.subset @t1 @t223)))) % 35.11/35.36 (assume @p209 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 35.11/35.36 (assume @p210 (forall @t6 (=> @t5 @t225))) % 35.11/35.36 (assume @p211 (forall @t21 (=> (and @t43 (tptp.subset @t2 @t17)) @t224))) % 35.11/35.36 (assume @p212 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 35.11/35.36 (assume @p213 (forall @t21 (=> @t18 (=> @t227 (and @t226 (tptp.in @t2 @t142)))))) % 35.11/35.36 (assume @p214 (forall @t6 (=> @t41 (and (tptp.subset @t228 @t95) (tptp.subset @t228 @t1))))) % 35.11/35.36 (assume @p215 (forall @t6 (=> @t178 (forall @t63 (=> @t145 (= @t231 (and @t226 (tptp.in @t229 @t191)))))))) % 35.11/35.36 (assume @p216 (forall @t11 (=> @t13 (forall @t76 (=> @t31 (=> @t8 @t5)))))) % 35.11/35.36 (assume @p217 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t55 @t130))))) % 35.11/35.36 (assume @p218 (forall @t21 (=> @t18 (tptp.subset (tptp.fiber (tptp.relation_restriction @t17 @t1) @t2) (tptp.fiber @t17 @t2))))) % 35.11/35.36 (assume @p219 (forall @t6 (=> @t178 (forall @t63 (=> @t145 (=> @t231 (= (tptp.apply @t230 @t1) (tptp.apply @t2 @t229)))))))) % 35.11/35.36 (assume @p220 (forall @t21 (=> (tptp.relation_of2_as_subset @t17 @t2 @t1) (= (forall @t58 (not (and @t49 (forall @t56 (not @t50))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t17) @t2))))) % 35.11/35.36 (assume @p221 (forall @t6 (=> @t41 (=> @t232 (tptp.reflexive @t219))))) % 35.11/35.36 (assume @p222 (forall @t6 (=> @t178 (forall @t63 (=> @t145 (=> (tptp.in @t1 @t191) (= (tptp.apply (tptp.relation_composition @t2 @t17) @t1) (tptp.apply @t17 (tptp.apply @t2 @t1))))))))) % 35.11/35.36 (assume @p223 (forall @t6 (=> @t31 (=> @t5 @t15)))) % 35.11/35.36 (assume @p224 (forall @t21 (=> @t167 (= (forall @t58 (not (and @t49 (forall @t56 (not (tptp.in @t69 @t17)))))) (= @t158 @t2))))) % 35.11/35.36 (assume @p225 (forall @t6 (=> @t41 (=> @t233 (tptp.connected @t219))))) % 35.11/35.36 (assume @p226 (forall @t11 (=> @t15 (forall @t76 (=> @t31 (not (and @t190 @t151 @t4))))))) % 35.11/35.36 (assume @p227 (forall @t6 (=> @t41 (=> @t234 (tptp.transitive @t219))))) % 35.11/35.36 (assume @p228 (forall @t11 (=> @t16 (forall @t76 (=> @t41 (=> @t43 (and (tptp.subset @t55 @t191) (tptp.subset @t130 @t203)))))))) % 35.11/35.36 (assume @p229 (forall @t6 (=> @t41 (=> @t235 (tptp.antisymmetric @t219))))) % 35.11/35.36 (assume @p230 (forall @t21 (=> @t43 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t223)))) % 35.11/35.36 (assume @p231 (forall @t6 (=> @t43 (= @t29 @t1)))) % 35.11/35.36 (assume @p232 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 35.11/35.36 (assume @p233 (forall @t6 (=> @t225 (or @t105 @t5)))) % 35.11/35.36 (assume @p234 (forall @t6 (=> (forall @t63 (= @t35 @t81)) @t44))) % 35.11/35.36 (assume @p235 (not @t236)) % 35.11/35.36 (assume @p236 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 35.11/35.36 (assume @p237 (forall @t21 (=> @t18 (=> @t227 (and @t222 (tptp.in @t2 @t221)))))) % 35.11/35.36 (assume @p238 (forall @t11 (=> (forall @t76 (=> @t3 (and @t31 @t42))) @t15))) % 35.11/35.36 (assume @p239 (forall @t6 (=> @t41 (=> @t237 (tptp.well_founded_relation @t219))))) % 35.11/35.36 (assume @p240 (forall @t6 (=> @t31 (not (and @t43 @t89 (forall @t63 (=> (tptp.ordinal @t17) (not (and @t35 (forall @t58 (=> (tptp.ordinal @t33) (=> @t88 (tptp.ordinal_subset @t17 @t33))))))))))))) % 35.11/35.36 (assume @p241 (forall @t6 (=> @t41 (=> @t238 (tptp.well_ordering @t219))))) % 35.11/35.36 (assume @p242 (forall @t11 (=> @t15 (forall @t76 (=> @t31 (= @t5 (tptp.ordinal_subset @t80 @t2))))))) % 35.11/35.36 (assume @p243 (forall @t21 (=> @t43 (tptp.subset (tptp.set_difference @t1 @t17) @t200)))) % 35.11/35.36 (assume @p244 (forall @t73 (=> (= @t134 @t36) (and @t201 @t103)))) % 35.11/35.36 (assume @p245 (forall @t6 (=> @t178 (= @t40 (and (= @t191 @t1) (forall @t63 (=> @t35 (= @t239 @t17)))))))) % 35.11/35.36 (assume @p246 (forall @t6 (=> @t3 (= (tptp.apply @t39 @t2) @t2)))) % 35.11/35.36 (assume @p247 (forall @t6 (tptp.subset @t128 @t1))) % 35.11/35.36 (assume @p248 (forall @t11 (=> @t16 (and (= @t130 (tptp.relation_dom @t140)) (= @t55 (tptp.relation_rng @t140)))))) % 35.11/35.36 (assume @p249 (forall @t21 (= (tptp.subset @t26 @t17) (and @t196 @t113)))) % 35.11/35.36 (assume @p250 (forall @t6 (=> @t41 (=> (and @t238 (tptp.subset @t1 @t95)) (= @t228 @t1))))) % 35.11/35.36 (assume @p251 (forall @t6 (= @t240 @t28))) % 35.11/35.36 (assume @p252 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 35.11/35.36 (assume @p253 (forall @t21 (not (and @t5 @t113 @t35)))) % 35.11/35.36 (assume @p254 (forall @t6 (= @t197 @t43))) % 35.11/35.36 (assume @p255 (forall @t6 (and (not (and @t242 (forall @t63 (not @t241)))) (not (and (exists @t63 @t241) @t146))))) % 35.11/35.36 (assume @p256 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t86))) % 35.11/35.36 (assume @p257 (forall @t6 (= (tptp.set_difference @t28 @t2) @t128))) % 35.11/35.36 (assume @p258 (forall @t11 (=> @t15 (= @t137 (forall @t76 (=> @t31 (=> @t3 (tptp.in @t243 @t1)))))))) % 35.11/35.36 (assume @p259 (forall @t11 (=> @t15 (and (not (and (not @t137) (forall @t76 (=> @t31 (not @t244))))) (not (and (exists @t76 (and @t31 @t244)) @t137)))))) % 35.11/35.36 (assume @p260 (forall @t6 (=> @t133 (forall @t63 (=> @t163 (= @t246 (tptp.subset @t2 @t245))))))) % 35.11/35.36 (assume @p261 (forall @t11 (=> @t16 (forall @t76 (=> @t41 (tptp.subset @t247 @t55)))))) % 35.11/35.36 (assume @p262 (forall @t11 (=> @t16 (forall @t76 (=> @t41 (tptp.subset @t216 @t203)))))) % 35.11/35.36 (assume @p263 (forall @t6 (=> @t43 (= @t2 @t240)))) % 35.11/35.36 (assume @p264 (forall @t11 (=> @t16 (forall @t76 (=> @t41 (=> (tptp.subset @t130 @t191) (= @t247 @t55))))))) % 35.11/35.36 (assume @p265 (forall @t6 (=> @t150 (not (and @t108 (= @t148 tptp.empty_set)))))) % 35.11/35.36 (assume @p266 (forall @t11 (=> @t16 (forall @t76 (=> @t41 (=> (tptp.subset @t55 @t203) (= (tptp.relation_rng @t168) @t130))))))) % 35.11/35.36 (assume @p267 (forall @t6 (=> @t150 (=> @t108 (= (tptp.subset_difference @t1 @t124 @t159) (tptp.meet_of_subsets @t1 @t148)))))) % 35.11/35.36 (assume @p268 (forall @t6 (=> @t150 (=> @t108 (= (tptp.union_of_subsets @t1 @t148) (tptp.subset_difference @t1 @t124 @t161)))))) % 35.11/35.36 (assume @p269 (forall @t6 (= (tptp.set_difference @t1 @t128) @t29))) % 35.11/35.36 (assume @p270 (forall @t11 (=> @t16 (forall @t76 (=> @t41 (forall @t63 (=> @t145 (=> @t144 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t17)))))))))) % 35.11/35.36 (assume @p271 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 35.11/35.36 (assume @p272 (forall @t21 (=> (and @t5 @t248) (tptp.element @t1 @t17)))) % 35.11/35.36 (assume @p273 (forall @t6 (and (not (and @t242 (forall @t63 (not @t249)))) (not (and (exists @t63 @t249) @t146))))) % 35.11/35.36 (assume @p274 (forall @t11 (=> @t89 (forall @t76 (=> @t133 (forall @t63 (=> (tptp.element @t17 @t1) (=> @t111 (tptp.in @t17 @t132))))))))) % 35.11/35.36 (assume @p275 (forall @t11 (=> @t16 (forall @t76 (=> @t41 (forall @t63 (=> @t145 (=> @t144 (and (=> @t126 @t232) (=> @t71 @t234) (=> @t70 @t233) (=> @t65 @t235) (=> @t109 @t237)))))))))) % 35.11/35.36 (assume @p276 (forall @t11 (=> @t60 (=> @t22 (forall @t76 (=> @t178 (= (= @t2 @t152) (and (= @t191 @t130) (forall @t38 (and (=> @t250 @t129) (=> @t129 @t250))))))))))) % 35.11/35.36 (assume @p277 (forall @t21 (=> @t163 (not (and (tptp.in @t2 @t245) @t113))))) % 35.11/35.36 (assume @p278 (forall @t11 (=> @t16 (forall @t76 (=> @t41 (forall @t63 (=> @t145 (=> (and @t127 @t144) @t238)))))))) % 35.11/35.36 (assume @p279 (forall @t11 (=> @t60 (=> @t22 (and (= @t130 (tptp.relation_dom @t152)) (= @t55 (tptp.relation_rng @t152))))))) % 35.11/35.36 (assume @p280 (forall @t11 (=> @t16 (=> (forall @t53 @t193) @t86)))) % 35.11/35.36 (assume @p281 (forall @t6 (=> @t178 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t203)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t251 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t251 @t2) @t1))))))) % 35.11/35.36 (assume @p282 (forall @t21 (not (and @t5 @t248 (tptp.empty @t17))))) % 35.11/35.36 (assume @p283 (forall @t11 (=> @t16 (= @t109 (tptp.is_well_founded_in @t1 @t64))))) % 35.11/35.36 (assume @p284 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 35.11/35.36 (assume @p285 (forall @t6 (not (and @t43 @t7)))) % 35.11/35.36 (assume @p286 (forall @t11 (=> @t60 (=> @t22 (tptp.one_to_one @t152))))) % 35.11/35.36 (assume @p287 (forall @t21 (=> (and @t43 @t246) (tptp.disjoint @t1 @t17)))) % 35.11/35.36 (assume @p288 (forall @t11 (=> @t16 (=> (or @t253 @t252) @t86)))) % 35.11/35.36 (assume @p289 (forall @t11 (=> @t16 (= @t253 @t252)))) % 35.11/35.36 (assume @p290 (forall @t6 (= (= (tptp.set_difference @t1 @t194) @t1) @t4))) % 35.11/35.36 (assume @p291 (forall @t6 (=> @t178 (forall @t63 (=> @t145 (= (= @t2 @t198) (and (= @t191 (tptp.set_intersection2 @t143 @t1)) (forall @t58 (=> (tptp.in @t33 @t191) (= (tptp.apply @t2 @t33) @t141)))))))))) % 35.11/35.36 (assume @p292 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t79))) % 35.11/35.36 (assume @p293 (forall @t11 (=> @t10 @t86))) % 35.11/35.36 (assume @p294 (forall @t6 (=> (tptp.subset @t79 @t194) @t44))) % 35.11/35.36 (assume @p295 (forall @t21 (=> @t145 (=> @t199 @t254)))) % 35.11/35.36 (assume @p296 (forall @t11 (and (= (tptp.relation_dom @t39) @t1) (= (tptp.relation_rng @t39) @t1)))) % 35.11/35.36 (assume @p297 (forall @t21 (=> @t145 (=> @t3 @t254)))) % 35.11/35.36 (assume @p298 (forall @t73 (=> (tptp.relation @t33) (= (tptp.in @t134 (tptp.relation_composition (tptp.identity_relation @t17) @t33)) (and @t196 (tptp.in @t134 @t33)))))) % 35.11/35.36 (assume @p299 (forall @t6 (not (and @t5 @t105)))) % 35.11/35.36 (assume @p300 (forall @t6 (and (= (tptp.pair_first @t134) @t1) (= (tptp.pair_second @t134) @t2)))) % 35.11/35.36 (assume @p301 (forall @t6 (not (and @t5 (forall @t63 (not (and @t81 (forall @t58 (not (and @t49 @t57)))))))))) % 35.11/35.36 (assume @p302 (forall @t6 (tptp.subset @t1 @t28))) % 35.11/35.36 (assume @p303 (forall @t6 (= @t146 (= @t128 @t1)))) % 35.11/35.36 (assume @p304 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_dom @t208)) (and @t5 @t226))))) % 35.11/35.36 (assume @p305 (forall @t6 (=> @t41 (tptp.subset @t220 @t2)))) % 35.11/35.36 (assume @p306 (forall @t6 (not (and @t10 @t151 @t105)))) % 35.11/35.36 (assume @p307 (forall @t21 (=> @t145 (= @t227 (and @t226 (= @t2 @t229)))))) % 35.11/35.36 (assume @p308 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t64) @t127)))) % 35.11/35.36 (assume @p309 (forall @t21 (=> (and @t43 @t116) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 35.11/35.36 (assume @p310 (forall @t21 (=> @t255 @t44))) % 35.11/35.36 (assume @p311 (forall @t6 (=> @t41 (= (tptp.relation_dom @t220) @t212)))) % 35.11/35.36 (assume @p312 (forall @t6 (=> @t41 (= @t220 (tptp.relation_composition @t39 @t2))))) % 35.11/35.36 (assume @p313 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_rng @t220) @t203)))) % 35.11/35.36 (assume @p314 (forall @t11 (= (tptp.union @t102) @t1))) % 35.11/35.36 (assume @p315 (forall @t11 (exists @t76 (and @t5 @t207 (forall @t63 (not (and @t81 (forall @t58 (not (and @t49 (forall @t56 (=> (tptp.subset @t46 @t17) @t72)))))))) @t205)))) % 35.11/35.36 (assume @p316 (forall @t21 (=> @t255 @t74))) % 35.11/35.36 (step @p317 :rule bool-impl-elim :args (@t41 @t259)) % 35.11/35.36 (step @p318 :rule cong :premises (@p317) :args ((forall @t6 (=> @t41 @t259)))) % 35.11/35.36 (step @p319 :rule aci_norm :args ((= (or (or @t257 @t256) @t92) @t258))) % 35.11/35.36 (step @p320 :rule refl :args (@t92)) % 35.11/35.36 (step @p321 :rule bool-and-de-morgan :args (@t35 @t88 true)) % 35.11/35.36 (step @p322 :rule nary_cong :premises (@p321 @p320) :args ((or (not @t93) @t92))) % 35.11/35.36 (step @p323 :rule trans :premises (@p322 @p319)) % 35.11/35.36 (step @p324 :rule bool-impl-elim :args (@t93 @t92)) % 35.11/35.36 (step @p325 :rule trans :premises (@p324 @p323)) % 35.11/35.36 (step @p326 :rule cong :premises (@p325) :args (@t94)) % 35.11/35.36 (step @p327 :rule eq-symm :args (@t95 @t1)) % 35.11/35.37 (step @p328 :rule nary_cong :premises (@p327 @p326) :args (@t96)) % 35.11/35.37 (step @p329 :rule refl :args (@t98)) % 35.11/35.37 (step @p330 :rule cong :premises (@p329 @p328) :args (@t99)) % 35.11/35.37 (step @p331 :rule refl :args (@t41)) % 35.11/35.37 (step @p332 :rule cong :premises (@p331 @p330) :args (@t100)) % 35.11/35.37 (step @p333 :rule cong :premises (@p332) :args (@t101)) % 35.11/35.37 (step @p334 :rule trans :premises (@p333 @p318)) % 35.11/35.37 (step @p335 :rule eq_resolve :premises (@p34 @p334)) % 35.11/35.37 (step @p336 :rule bool-eq-true :args (@t268)) % 35.11/35.37 (step @p337 :rule eq-symm :args (true @t268)) % 35.11/35.37 (step @p338 :rule trans :premises (@p337 @p336)) % 35.11/35.37 (step @p339 :rule eq-symm :args (@t262 @t91)) % 35.11/35.37 (step @p340 :rule refl :args (@t263)) % 35.11/35.37 (step @p341 :rule refl :args (@t264)) % 35.11/35.37 (step @p342 :rule nary_cong :premises (@p341 @p340 @p339) :args (@t269)) % 35.11/35.37 (step @p343 :rule cong :premises (@p342) :args (@t270)) % 35.11/35.37 (step @p344 :rule refl :args (@t267)) % 35.11/35.37 (step @p345 :rule nary_cong :premises (@p344 @p343) :args (@t271)) % 35.11/35.37 (step @p346 :rule eq-refl :args (@t261)) % 35.11/35.37 (step @p347 :rule cong :premises (@p346 @p345) :args (@t272)) % 35.11/35.37 (step @p348 :rule trans :premises (@p347 @p338)) % 35.11/35.37 (step @p349 :rule refl :args (@t274)) % 35.11/35.37 (step @p350 :rule nary_cong :premises (@p349 @p348) :args (@t275)) % 35.11/35.37 (step @p351 :rule refl :args (@t276)) % 35.11/35.37 (step @p352 :rule cong :premises (@p351 @p350) :args ((=> @t276 @t275))) % 35.11/35.37 (assume-push @p439 @t276) % 35.11/35.37 (step @p354 :rule instantiate :premises (@p335) :args ((@list @t260 @t261))) % 35.11/35.37 (step-pop @p440 :rule scope :premises (@p354)) % 35.11/35.37 (step @p355 :rule process_scope :premises (@p440) :args (@t275)) % 35.11/35.37 (step @p357 :rule eq_resolve :premises (@p355 @p352)) % 35.11/35.37 (step @p358 :rule implies_elim :premises (@p357)) % 35.11/35.37 (step @p359 :rule chain_m_resolution :premises (@p358 @p335) :args (@t277 @t278 (@list @t276))) % 35.11/35.37 (step @p360 :rule instantiate :premises (@p78) :args ((@list @t260))) % 35.11/35.37 (step @p361 :rule cnf_or_pos :args (@t277)) % 35.11/35.37 (step @p362 :rule reordering :premises (@p361) :args ((or @t274 @t268 (not @t277)))) % 35.11/35.37 (step @p363 :rule chain_m_resolution :premises (@p362 @p360 @p359) :args (@t268 @t279 (@list @t273 @t277))) % 35.11/35.37 (step @p364 :rule cnf_and_pos :args (@t268 1)) % 35.11/35.37 (step @p365 :rule reordering :premises (@p364) :args ((or @t265 @t280))) % 35.11/35.37 (step @p366 :rule chain_m_resolution :premises (@p365 @p363) :args (@t265 @t278 @t281)) % 35.11/35.37 (step @p367 :rule eq-symm :args (@t284 @t285)) % 35.11/35.37 (step @p368 :rule refl :args (@t287)) % 35.11/35.37 (step @p369 :rule nary_cong :premises (@p368 @p368 @p367) :args (@t288)) % 35.11/35.37 (step @p370 :rule refl :args (@t265)) % 35.11/35.37 (step @p371 :rule cong :premises (@p370 @p369) :args ((=> @t265 @t288))) % 35.11/35.37 (assume-push @p441 @t265) % 35.11/35.37 (step @p373 :rule instantiate :premises (@p366) :args (@t289)) % 35.11/35.37 (step-pop @p442 :rule scope :premises (@p373)) % 35.11/35.37 (step @p374 :rule process_scope :premises (@p442) :args (@t288)) % 35.11/35.37 (step @p376 :rule eq_resolve :premises (@p374 @p371)) % 35.11/35.37 (step @p377 :rule implies_elim :premises (@p376)) % 35.11/35.37 (step @p378 :rule chain_m_resolution :premises (@p377 @p366) :args (@t291 @t278 (@list @t265))) % 35.11/35.37 (step @p379 :rule bool-impl-elim :args (@t16 @t292)) % 35.11/35.37 (step @p380 :rule cong :premises (@p379) :args ((forall @t11 (=> @t16 @t292)))) % 35.11/35.37 (step @p381 :rule bool-impl-elim :args (@t184 @t183)) % 35.11/35.37 (step @p382 :rule cong :premises (@p381) :args (@t185)) % 35.11/35.37 (step @p383 :rule refl :args (@t126)) % 35.11/35.37 (step @p384 :rule cong :premises (@p383 @p382) :args (@t186)) % 35.11/35.37 (step @p385 :rule refl :args (@t16)) % 35.11/35.37 (step @p386 :rule cong :premises (@p385 @p384) :args (@t187)) % 35.11/35.37 (step @p387 :rule cong :premises (@p386) :args (@t188)) % 35.11/35.37 (step @p388 :rule trans :premises (@p387 @p380)) % 35.11/35.37 (step @p389 :rule eq_resolve :premises (@p134 @p388)) % 35.11/35.37 (step @p390 :rule instantiate :premises (@p389) :args ((@list @t261))) % 35.11/35.37 (step @p391 :rule cnf_or_pos :args (@t295)) % 35.11/35.37 (step @p392 :rule reordering :premises (@p391) :args ((or @t274 @t294 (not @t295)))) % 35.11/35.37 (step @p393 :rule chain_m_resolution :premises (@p392 @p360 @p390) :args (@t294 @t279 (@list @t273 @t295))) % 35.11/35.37 (step @p394 :rule skolemize :premises (@p235)) % 35.11/35.37 (step @p395 :rule cnf_equiv_pos2 :args (@t294)) % 35.11/35.37 (step @p396 :rule reordering :premises (@p395) :args ((or @t293 @t296 (not @t294)))) % 35.11/35.37 (step @p397 :rule chain_m_resolution :premises (@p396 @p394 @p393) :args (@t296 @t297 (@list @t293 @t294))) % 35.11/35.37 (step @p398 :rule skolemize :premises (@p397)) % 35.11/35.37 (step @p399 :rule bool-double-not-elim :args (@t298)) % 35.11/35.37 (step @p400 :rule refl :args (@t300)) % 35.11/35.37 (step @p401 :rule nary_cong :premises (@p400 @p399) :args ((or @t300 (not @t299)))) % 35.11/35.37 (step @p402 :rule cnf_or_neg :args (@t300 0)) % 35.11/35.37 (step @p403 :rule eq_resolve :premises (@p402 @p401)) % 35.11/35.37 (step @p404 :rule reordering :premises (@p403) :args ((or @t298 @t300))) % 35.11/35.37 (step @p405 :rule chain_m_resolution :premises (@p404 @p398) :args (@t298 @t301 @t302)) % 35.11/35.37 (step @p406 :rule true_intro :premises (@p405)) % 35.11/35.37 (step @p407 :rule cnf_and_pos :args (@t268 0)) % 35.11/35.37 (step @p408 :rule reordering :premises (@p407) :args ((or @t267 @t280))) % 35.11/35.37 (step @p409 :rule chain_m_resolution :premises (@p408 @p363) :args (@t267 @t278 @t281)) % 35.11/35.37 (step @p410 :rule refl :args (@t283)) % 35.11/35.37 (step @p411 :rule cong :premises (@p410 @p409) :args (@t286)) % 35.11/35.37 (step @p412 :rule trans :premises (@p411 @p406)) % 35.11/35.37 (step @p413 :rule true_elim :premises (@p412)) % 35.11/35.37 (step @p414 :rule cnf_or_pos :args (@t291)) % 35.11/35.37 (step @p415 :rule factoring :premises (@p414)) % 35.11/35.37 (step @p416 :rule reordering :premises (@p415) :args ((or @t287 @t290 (not @t291)))) % 35.11/35.37 (step @p417 :rule chain_m_resolution :premises (@p416 @p413 @p378) :args (@t290 @t279 (@list @t286 @t291))) % 35.11/35.37 (step @p418 :rule cnf_or_neg :args (@t300 1)) % 35.11/35.37 (step @p419 :rule chain_m_resolution :premises (@p418 @p398) :args ((not @t285) @t301 @t302)) % 35.11/35.37 (step @p420 :rule cnf_equiv_pos2 :args (@t290)) % 35.11/35.37 (step @p421 :rule reordering :premises (@p420) :args ((or @t285 @t303 (not @t290)))) % 35.11/35.37 (step @p422 :rule chain_m_resolution :premises (@p421 @p419 @p417) :args (@t303 @t297 (@list @t285 @t290))) % 35.11/35.37 (step @p423 :rule bool-eq-true :args (@t284)) % 35.11/35.37 (step @p424 :rule eq-symm :args (true @t284)) % 35.11/35.37 (step @p425 :rule trans :premises (@p424 @p423)) % 35.11/35.37 (step @p426 :rule aci_norm :args ((= @t304 @t284))) % 35.11/35.37 (step @p427 :rule eq-refl :args (@t283)) % 35.11/35.37 (step @p428 :rule cong :premises (@p427 @p426) :args (@t305)) % 35.11/35.37 (step @p429 :rule trans :premises (@p428 @p425)) % 35.11/35.37 (step @p430 :rule refl :args (@t45)) % 35.11/35.37 (step @p431 :rule cong :premises (@p430 @p429) :args ((=> @t45 @t305))) % 35.11/35.37 (assume-push @p443 @t45) % 35.11/35.37 (step @p433 :rule instantiate :premises (@p15) :args (@t289)) % 35.11/35.37 (step-pop @p444 :rule scope :premises (@p433)) % 35.11/35.37 (step @p434 :rule process_scope :premises (@p444) :args (@t305)) % 35.11/35.37 (step @p436 :rule eq_resolve :premises (@p434 @p431)) % 35.11/35.37 (step @p437 :rule implies_elim :premises (@p436)) % 35.11/35.37 (step @p438 false :rule chain_m_resolution :premises (@p437 @p422 @p15) :args (false @t297 (@list @t284 @t45))) % 35.11/35.37 ) % 35.11/35.37 % SZS output end Proof % 35.11/35.37 % cvc5 exiting %------------------------------------------------------------------------------