%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU317+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:51:21 AM UTC 2026 % Result : Theorem 251.93s 252.21s % Output : Proof 251.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU317+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:55:59 EDT 2026 % 0.16/0.34 % CPUTime : % 0.38/0.61 %----Proving TF0_NAR, FOF, or CNF % 251.93/252.21 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 251.93/252.21 --- Run --no-e-matching --full-saturate-quant at 6... % 251.93/252.21 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 251.93/252.21 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 251.93/252.21 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 251.93/252.21 --- Run --trigger-sel=max --full-saturate-quant at 15... % 251.93/252.21 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 251.93/252.21 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 251.93/252.21 --- Run --prenex-quant=none --full-saturate-quant at 30... % 251.93/252.21 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 251.93/252.21 --- Run --relevant-triggers --full-saturate-quant at 30... % 251.93/252.21 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 251.93/252.21 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 251.93/252.21 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 251.93/252.21 % SZS status Theorem % 251.93/252.21 % SZS output start Proof % 251.93/252.21 ( % 251.93/252.21 (declare-sort $$unsorted 0) % 251.93/252.21 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 251.93/252.21 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 251.93/252.21 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 251.93/252.21 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.21 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 251.93/252.21 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 251.93/252.21 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 251.93/252.21 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.21 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 251.93/252.21 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.21 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 251.93/252.21 (declare-const tptp.equipotent (-> $$unsorted $$unsorted Bool)) % 251.93/252.21 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 251.93/252.21 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 251.93/252.21 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.empty_carrier_subset (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.function (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.finite (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.connected (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.empty_set $$unsorted) % 251.93/252.22 (declare-const tptp.empty (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.natural (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.relation (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.transitive (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.omega $$unsorted) % 251.93/252.22 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.join_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.the_topology (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 251.93/252.22 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 251.93/252.22 (declare-const tptp.top_str (-> $$unsorted Bool)) % 251.93/252.22 (define @t1 () (@var "A" $$unsorted)) % 251.93/252.22 (define @t2 () (@var "B" $$unsorted)) % 251.93/252.22 (define @t3 () (tptp.in @t2 @t1)) % 251.93/252.22 (define @t4 () (not @t3)) % 251.93/252.22 (define @t5 () (tptp.in @t1 @t2)) % 251.93/252.22 (define @t6 () (@list @t1 @t2)) % 251.93/252.22 (define @t7 () (tptp.proper_subset @t2 @t1)) % 251.93/252.22 (define @t8 () (tptp.proper_subset @t1 @t2)) % 251.93/252.22 (define @t9 () (tptp.v1_xcmplx_0 @t2)) % 251.93/252.22 (define @t10 () (tptp.element @t2 @t1)) % 251.93/252.22 (define @t11 () (@list @t2)) % 251.93/252.22 (define @t12 () (tptp.v1_membered @t1)) % 251.93/252.22 (define @t13 () (@list @t1)) % 251.93/252.22 (define @t14 () (tptp.v1_xreal_0 @t2)) % 251.93/252.22 (define @t15 () (tptp.v2_membered @t1)) % 251.93/252.22 (define @t16 () (tptp.v1_rat_1 @t2)) % 251.93/252.22 (define @t17 () (tptp.v3_membered @t1)) % 251.93/252.22 (define @t18 () (tptp.v1_int_1 @t2)) % 251.93/252.22 (define @t19 () (tptp.v4_membered @t1)) % 251.93/252.22 (define @t20 () (tptp.natural @t2)) % 251.93/252.22 (define @t21 () (tptp.v5_membered @t1)) % 251.93/252.22 (define @t22 () (tptp.empty @t1)) % 251.93/252.22 (define @t23 () (tptp.v1_membered @t2)) % 251.93/252.22 (define @t24 () (tptp.powerset @t1)) % 251.93/252.22 (define @t25 () (tptp.element @t2 @t24)) % 251.93/252.22 (define @t26 () (tptp.v2_membered @t2)) % 251.93/252.22 (define @t27 () (tptp.v3_membered @t2)) % 251.93/252.22 (define @t28 () (tptp.v4_membered @t2)) % 251.93/252.22 (define @t29 () (tptp.ordinal @t2)) % 251.93/252.22 (define @t30 () (tptp.epsilon_connected @t2)) % 251.93/252.22 (define @t31 () (tptp.epsilon_transitive @t2)) % 251.93/252.22 (define @t32 () (tptp.ordinal @t1)) % 251.93/252.22 (define @t33 () (tptp.finite @t1)) % 251.93/252.22 (define @t34 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 251.93/252.22 (define @t35 () (tptp.preboolean @t1)) % 251.93/252.22 (define @t36 () (tptp.function @t1)) % 251.93/252.22 (define @t37 () (tptp.epsilon_connected @t1)) % 251.93/252.22 (define @t38 () (tptp.epsilon_transitive @t1)) % 251.93/252.22 (define @t39 () (and @t38 @t37)) % 251.93/252.22 (define @t40 () (tptp.relation @t1)) % 251.93/252.22 (define @t41 () (@var "C" $$unsorted)) % 251.93/252.22 (define @t42 () (tptp.relation @t41)) % 251.93/252.22 (define @t43 () (tptp.cartesian_product2 @t1 @t2)) % 251.93/252.22 (define @t44 () (tptp.element @t41 (tptp.powerset @t43))) % 251.93/252.22 (define @t45 () (@list @t1 @t2 @t41)) % 251.93/252.22 (define @t46 () (tptp.natural @t1)) % 251.93/252.22 (define @t47 () (and @t38 @t37 @t32 @t46)) % 251.93/252.22 (define @t48 () (tptp.finite @t2)) % 251.93/252.22 (define @t49 () (tptp.one_to_one @t1)) % 251.93/252.22 (define @t50 () (and @t40 @t36 @t49)) % 251.93/252.22 (define @t51 () (and @t40 @t22 @t36)) % 251.93/252.22 (define @t52 () (and @t38 @t37 @t32)) % 251.93/252.22 (define @t53 () (tptp.unordered_pair @t1 @t2)) % 251.93/252.22 (define @t54 () (tptp.set_union2 @t2 @t1)) % 251.93/252.22 (define @t55 () (tptp.set_union2 @t1 @t2)) % 251.93/252.22 (define @t56 () (tptp.join_commut @t1 @t2 @t41)) % 251.93/252.22 (define @t57 () (tptp.the_carrier @t1)) % 251.93/252.22 (define @t58 () (tptp.element @t41 @t57)) % 251.93/252.22 (define @t59 () (tptp.element @t2 @t57)) % 251.93/252.22 (define @t60 () (tptp.join_semilatt_str @t1)) % 251.93/252.22 (define @t61 () (tptp.join_commutative @t1)) % 251.93/252.22 (define @t62 () (not (tptp.empty_carrier @t1))) % 251.93/252.22 (define @t63 () (and @t62 @t61 @t60 @t59 @t58)) % 251.93/252.22 (define @t64 () (tptp.set_intersection2 @t2 @t1)) % 251.93/252.22 (define @t65 () (tptp.set_intersection2 @t1 @t2)) % 251.93/252.22 (define @t66 () (tptp.meet_commut @t1 @t2 @t41)) % 251.93/252.22 (define @t67 () (tptp.meet_semilatt_str @t1)) % 251.93/252.22 (define @t68 () (tptp.meet_commutative @t1)) % 251.93/252.22 (define @t69 () (and @t62 @t68 @t67 @t59 @t58)) % 251.93/252.22 (define @t70 () (tptp.subset_intersection2 @t1 @t2 @t41)) % 251.93/252.22 (define @t71 () (tptp.element @t41 @t24)) % 251.93/252.22 (define @t72 () (and @t25 @t71)) % 251.93/252.22 (define @t73 () (tptp.ordinal_subset @t1 @t2)) % 251.93/252.22 (define @t74 () (and @t32 @t29)) % 251.93/252.22 (define @t75 () (@var "D" $$unsorted)) % 251.93/252.22 (define @t76 () (= @t41 @t75)) % 251.93/252.22 (define @t77 () (tptp.in @t41 @t1)) % 251.93/252.22 (define @t78 () (tptp.ordered_pair @t41 @t75)) % 251.93/252.22 (define @t79 () (tptp.in @t78 @t2)) % 251.93/252.22 (define @t80 () (@list @t41 @t75)) % 251.93/252.22 (define @t81 () (tptp.identity_relation @t1)) % 251.93/252.22 (define @t82 () (= @t2 @t81)) % 251.93/252.22 (define @t83 () (tptp.relation @t2)) % 251.93/252.22 (define @t84 () (tptp.subset @t2 @t1)) % 251.93/252.22 (define @t85 () (tptp.subset @t1 @t2)) % 251.93/252.22 (define @t86 () (= @t1 @t2)) % 251.93/252.22 (define @t87 () (@var "E" $$unsorted)) % 251.93/252.22 (define @t88 () (tptp.ordered_pair @t75 @t87)) % 251.93/252.22 (define @t89 () (tptp.in @t88 @t1)) % 251.93/252.22 (define @t90 () (tptp.in @t75 @t2)) % 251.93/252.22 (define @t91 () (tptp.in @t88 @t41)) % 251.93/252.22 (define @t92 () (@list @t75 @t87)) % 251.93/252.22 (define @t93 () (tptp.relation_dom_restriction @t1 @t2)) % 251.93/252.22 (define @t94 () (@list @t2 @t41)) % 251.93/252.22 (define @t95 () (tptp.in @t87 @t2)) % 251.93/252.22 (define @t96 () (tptp.relation_dom @t1)) % 251.93/252.22 (define @t97 () (@list @t87)) % 251.93/252.22 (define @t98 () (tptp.in @t75 @t41)) % 251.93/252.22 (define @t99 () (@list @t75)) % 251.93/252.22 (define @t100 () (tptp.relation_image @t1 @t2)) % 251.93/252.22 (define @t101 () (= @t41 @t100)) % 251.93/252.22 (define @t102 () (and @t40 @t36)) % 251.93/252.22 (define @t103 () (tptp.in @t87 @t1)) % 251.93/252.22 (define @t104 () (tptp.relation_rng_restriction @t1 @t2)) % 251.93/252.22 (define @t105 () (@list @t41)) % 251.93/252.22 (define @t106 () (tptp.relation_field @t1)) % 251.93/252.22 (define @t107 () (tptp.antisymmetric @t1)) % 251.93/252.22 (define @t108 () (tptp.apply @t1 @t75)) % 251.93/252.22 (define @t109 () (tptp.in @t75 @t96)) % 251.93/252.22 (define @t110 () (= @t41 (tptp.relation_inverse_image @t1 @t2))) % 251.93/252.22 (define @t111 () (tptp.disjoint @t2 @t87)) % 251.93/252.22 (define @t112 () (tptp.in @t75 @t87)) % 251.93/252.22 (define @t113 () (tptp.open_subset @t87 @t1)) % 251.93/252.22 (define @t114 () (not (and @t113 @t112 @t111))) % 251.93/252.22 (define @t115 () (tptp.powerset @t57)) % 251.93/252.22 (define @t116 () (tptp.element @t87 @t115)) % 251.93/252.22 (define @t117 () (forall @t97 (=> @t116 @t114))) % 251.93/252.22 (define @t118 () (= @t98 @t117)) % 251.93/252.22 (define @t119 () (tptp.in @t75 @t57)) % 251.93/252.22 (define @t120 () (=> @t119 @t118)) % 251.93/252.22 (define @t121 () (forall @t99 @t120)) % 251.93/252.22 (define @t122 () (tptp.topstr_closure @t1 @t2)) % 251.93/252.22 (define @t123 () (= @t41 @t122)) % 251.93/252.22 (define @t124 () (= @t123 @t121)) % 251.93/252.22 (define @t125 () (tptp.element @t41 @t115)) % 251.93/252.22 (define @t126 () (=> @t125 @t124)) % 251.93/252.22 (define @t127 () (forall @t105 @t126)) % 251.93/252.22 (define @t128 () (tptp.element @t2 @t115)) % 251.93/252.22 (define @t129 () (=> @t128 @t127)) % 251.93/252.22 (define @t130 () (forall @t11 @t129)) % 251.93/252.22 (define @t131 () (tptp.top_str @t1)) % 251.93/252.22 (define @t132 () (=> @t131 @t130)) % 251.93/252.22 (define @t133 () (forall @t13 @t132)) % 251.93/252.22 (define @t134 () (tptp.ordered_pair @t87 @t75)) % 251.93/252.22 (define @t135 () (tptp.connected @t1)) % 251.93/252.22 (define @t136 () (tptp.transitive @t1)) % 251.93/252.22 (define @t137 () (tptp.in @t87 @t75)) % 251.93/252.22 (define @t138 () (@list @t1 @t2 @t41 @t75)) % 251.93/252.22 (define @t139 () (tptp.relation_dom @t2)) % 251.93/252.22 (define @t140 () (tptp.relation_rng @t2)) % 251.93/252.22 (define @t141 () (tptp.function @t2)) % 251.93/252.22 (define @t142 () (tptp.in (tptp.ordered_pair @t2 @t75) @t1)) % 251.93/252.22 (define @t143 () (tptp.ordered_pair @t2 @t41)) % 251.93/252.22 (define @t144 () (tptp.in @t143 @t1)) % 251.93/252.22 (define @t145 () (@list @t2 @t41 @t75)) % 251.93/252.22 (define @t146 () (= @t41 tptp.empty_set)) % 251.93/252.22 (define @t147 () (tptp.quasi_total @t41 @t1 @t2)) % 251.93/252.22 (define @t148 () (= @t1 tptp.empty_set)) % 251.93/252.22 (define @t149 () (= @t2 tptp.empty_set)) % 251.93/252.22 (define @t150 () (tptp.relation_dom_as_subset @t1 @t2 @t41)) % 251.93/252.22 (define @t151 () (tptp.relation_of2_as_subset @t41 @t1 @t2)) % 251.93/252.22 (define @t152 () (tptp.the_L_join @t1)) % 251.93/252.22 (define @t153 () (tptp.join @t1 @t2 @t41)) % 251.93/252.22 (define @t154 () (and @t62 @t60)) % 251.93/252.22 (define @t155 () (= @t2 @t41)) % 251.93/252.22 (define @t156 () (= @t1 @t78)) % 251.93/252.22 (define @t157 () (exists @t94 (= @t1 @t143))) % 251.93/252.22 (define @t158 () (tptp.singleton @t1)) % 251.93/252.22 (define @t159 () (tptp.succ @t1)) % 251.93/252.22 (define @t160 () (tptp.the_topology @t1)) % 251.93/252.22 (define @t161 () (tptp.in @t2 @t160)) % 251.93/252.22 (define @t162 () (tptp.powerset @t115)) % 251.93/252.22 (define @t163 () (tptp.element @t2 @t162)) % 251.93/252.22 (define @t164 () (tptp.topological_space @t1)) % 251.93/252.22 (define @t165 () (tptp.in @t41 @t2)) % 251.93/252.22 (define @t166 () (tptp.is_reflexive_in @t1 @t2)) % 251.93/252.22 (define @t167 () (tptp.relation_of2 @t41 @t1 @t2)) % 251.93/252.22 (define @t168 () (= @t2 (tptp.set_meet @t1))) % 251.93/252.22 (define @t169 () (tptp.in @t41 @t75)) % 251.93/252.22 (define @t170 () (tptp.in @t75 @t1)) % 251.93/252.22 (define @t171 () (not @t148)) % 251.93/252.22 (define @t172 () (= @t75 @t2)) % 251.93/252.22 (define @t173 () (tptp.subset @t41 @t75)) % 251.93/252.22 (define @t174 () (tptp.relation_field @t2)) % 251.93/252.22 (define @t175 () (tptp.inclusion_relation @t1)) % 251.93/252.22 (define @t176 () (tptp.the_L_meet @t1)) % 251.93/252.22 (define @t177 () (tptp.meet @t1 @t2 @t41)) % 251.93/252.22 (define @t178 () (= @t2 @t75)) % 251.93/252.22 (define @t179 () (tptp.empty_carrier_subset @t1)) % 251.93/252.22 (define @t180 () (tptp.one_sorted_str @t1)) % 251.93/252.22 (define @t181 () (tptp.in @t78 @t1)) % 251.93/252.22 (define @t182 () (tptp.empty @t2)) % 251.93/252.22 (define @t183 () (not @t22)) % 251.93/252.22 (define @t184 () (not @t149)) % 251.93/252.22 (define @t185 () (tptp.well_founded_relation @t1)) % 251.93/252.22 (define @t186 () (@var "F" $$unsorted)) % 251.93/252.22 (define @t187 () (tptp.ordered_pair @t87 @t186)) % 251.93/252.22 (define @t188 () (tptp.in @t186 @t2)) % 251.93/252.22 (define @t189 () (@list @t87 @t186)) % 251.93/252.22 (define @t190 () (tptp.below @t1 @t2 @t41)) % 251.93/252.22 (define @t191 () (not @t165)) % 251.93/252.22 (define @t192 () (not @t155)) % 251.93/252.22 (define @t193 () (tptp.in @t2 @t41)) % 251.93/252.22 (define @t194 () (tptp.cast_as_carrier_subset @t1)) % 251.93/252.22 (define @t195 () (forall @t105 (=> @t77 @t165))) % 251.93/252.22 (define @t196 () (= @t85 @t195)) % 251.93/252.22 (define @t197 () (forall @t6 @t196)) % 251.93/252.22 (define @t198 () (not @t146)) % 251.93/252.22 (define @t199 () (tptp.subset @t41 @t2)) % 251.93/252.22 (define @t200 () (tptp.is_well_founded_in @t1 @t2)) % 251.93/252.22 (define @t201 () (tptp.apply @t1 @t2)) % 251.93/252.22 (define @t202 () (= @t41 @t201)) % 251.93/252.22 (define @t203 () (tptp.in @t2 @t96)) % 251.93/252.22 (define @t204 () (tptp.in (tptp.ordered_pair @t75 @t41) @t1)) % 251.93/252.22 (define @t205 () (tptp.is_antisymmetric_in @t1 @t2)) % 251.93/252.22 (define @t206 () (tptp.cast_to_subset @t1)) % 251.93/252.22 (define @t207 () (tptp.union @t1)) % 251.93/252.22 (define @t208 () (tptp.reflexive @t1)) % 251.93/252.22 (define @t209 () (tptp.well_ordering @t1)) % 251.93/252.22 (define @t210 () (tptp.relation_rng @t41)) % 251.93/252.22 (define @t211 () (tptp.relation_dom @t41)) % 251.93/252.22 (define @t212 () (= @t211 @t1)) % 251.93/252.22 (define @t213 () (tptp.one_to_one @t41)) % 251.93/252.22 (define @t214 () (tptp.function @t41)) % 251.93/252.22 (define @t215 () (tptp.equipotent @t1 @t2)) % 251.93/252.22 (define @t216 () (tptp.set_difference @t1 @t2)) % 251.93/252.22 (define @t217 () (and @t109 (= @t41 @t108))) % 251.93/252.22 (define @t218 () (tptp.relation_rng @t1)) % 251.93/252.22 (define @t219 () (= @t2 @t218)) % 251.93/252.22 (define @t220 () (tptp.being_limit_ordinal @t1)) % 251.93/252.22 (define @t221 () (tptp.subset_complement @t1 @t2)) % 251.93/252.22 (define @t222 () (tptp.ordered_pair @t1 @t2)) % 251.93/252.22 (define @t223 () (tptp.is_connected_in @t1 @t2)) % 251.93/252.22 (define @t224 () (tptp.is_transitive_in @t1 @t2)) % 251.93/252.22 (define @t225 () (tptp.subset_difference @t57 @t194 @t2)) % 251.93/252.22 (define @t226 () (tptp.closed_subset @t2 @t1)) % 251.93/252.22 (define @t227 () (tptp.cartesian_product2 @t2 @t2)) % 251.93/252.22 (define @t228 () (tptp.relation_restriction @t1 @t2)) % 251.93/252.22 (define @t229 () (tptp.relation_inverse @t1)) % 251.93/252.22 (define @t230 () (tptp.apply @t41 @t87)) % 251.93/252.22 (define @t231 () (tptp.apply @t41 @t75)) % 251.93/252.22 (define @t232 () (tptp.relation_isomorphism @t1 @t2 @t41)) % 251.93/252.22 (define @t233 () (and @t42 @t214)) % 251.93/252.22 (define @t234 () (tptp.disjoint @t1 @t2)) % 251.93/252.22 (define @t235 () (tptp.meet_absorbing @t1)) % 251.93/252.22 (define @t236 () (tptp.latt_str @t1)) % 251.93/252.22 (define @t237 () (@list @t186)) % 251.93/252.22 (define @t238 () (tptp.relation_composition @t1 @t2)) % 251.93/252.22 (define @t239 () (@list @t41 @t75 @t87)) % 251.93/252.22 (define @t240 () (tptp.complements_of_subsets @t1 @t2)) % 251.93/252.22 (define @t241 () (tptp.powerset @t24)) % 251.93/252.22 (define @t242 () (tptp.element @t2 @t241)) % 251.93/252.22 (define @t243 () (not @t86)) % 251.93/252.22 (define @t244 () (tptp.function_inverse @t1)) % 251.93/252.22 (define @t245 () (tptp.apply_binary_as_element @t1 @t2 @t41 @t75 @t87 @t186)) % 251.93/252.22 (define @t246 () (tptp.function @t75)) % 251.93/252.22 (define @t247 () (not @t182)) % 251.93/252.22 (define @t248 () (and @t183 @t247 @t246 (tptp.quasi_total @t75 @t43 @t41) (tptp.relation_of2 @t75 @t43 @t41) (tptp.element @t87 @t1) (tptp.element @t186 @t2))) % 251.93/252.22 (define @t249 () (@list @t1 @t2 @t41 @t75 @t87 @t186)) % 251.93/252.22 (define @t250 () (tptp.relation @t229)) % 251.93/252.22 (define @t251 () (tptp.relation @t238)) % 251.93/252.22 (define @t252 () (and @t40 @t83)) % 251.93/252.22 (define @t253 () (tptp.powerset @t2)) % 251.93/252.22 (define @t254 () (tptp.relation_rng_as_subset @t1 @t2 @t41)) % 251.93/252.22 (define @t255 () (tptp.union_of_subsets @t1 @t2)) % 251.93/252.22 (define @t256 () (tptp.element @t122 @t115)) % 251.93/252.22 (define @t257 () (and @t131 @t128)) % 251.93/252.22 (define @t258 () (forall @t6 (=> @t257 @t256))) % 251.93/252.22 (define @t259 () (tptp.relation @t81)) % 251.93/252.22 (define @t260 () (tptp.meet_of_subsets @t1 @t2)) % 251.93/252.22 (define @t261 () (tptp.subset_difference @t1 @t2 @t41)) % 251.93/252.22 (define @t262 () (tptp.relation @t93)) % 251.93/252.22 (define @t263 () (tptp.relation @t104)) % 251.93/252.22 (define @t264 () (tptp.cartesian_product2 @t57 @t57)) % 251.93/252.22 (define @t265 () (tptp.finite @t65)) % 251.93/252.22 (define @t266 () (tptp.relation_composition @t2 @t1)) % 251.93/252.22 (define @t267 () (and @t22 @t83)) % 251.93/252.22 (define @t268 () (tptp.relation_empty_yielding tptp.empty_set)) % 251.93/252.22 (define @t269 () (tptp.relation tptp.empty_set)) % 251.93/252.22 (define @t270 () (tptp.empty tptp.empty_set)) % 251.93/252.22 (define @t271 () (tptp.relation_empty_yielding @t1)) % 251.93/252.22 (define @t272 () (and @t40 @t271)) % 251.93/252.22 (define @t273 () (not (tptp.empty @t158))) % 251.93/252.22 (define @t274 () (not (tptp.empty @t24))) % 251.93/252.22 (define @t275 () (not (tptp.empty @t159))) % 251.93/252.22 (define @t276 () (and @t62 @t180)) % 251.93/252.22 (define @t277 () (tptp.v1_membered @t65)) % 251.93/252.22 (define @t278 () (tptp.v1_membered @t64)) % 251.93/252.22 (define @t279 () (tptp.v2_membered @t65)) % 251.93/252.22 (define @t280 () (tptp.ordinal @t159)) % 251.93/252.22 (define @t281 () (tptp.epsilon_connected @t159)) % 251.93/252.22 (define @t282 () (tptp.epsilon_transitive @t159)) % 251.93/252.22 (define @t283 () (tptp.v2_membered @t64)) % 251.93/252.22 (define @t284 () (tptp.v3_membered @t65)) % 251.93/252.22 (define @t285 () (tptp.v3_membered @t64)) % 251.93/252.22 (define @t286 () (tptp.v4_membered @t65)) % 251.93/252.22 (define @t287 () (tptp.v4_membered @t64)) % 251.93/252.22 (define @t288 () (tptp.v1_membered @t216)) % 251.93/252.22 (define @t289 () (tptp.v2_membered @t216)) % 251.93/252.22 (define @t290 () (tptp.v3_membered @t216)) % 251.93/252.22 (define @t291 () (tptp.v4_membered @t216)) % 251.93/252.22 (define @t292 () (and @t83 @t141)) % 251.93/252.22 (define @t293 () (and @t164 @t131)) % 251.93/252.22 (define @t294 () (tptp.empty @t96)) % 251.93/252.22 (define @t295 () (and @t183 @t40)) % 251.93/252.22 (define @t296 () (tptp.empty @t218)) % 251.93/252.22 (define @t297 () (tptp.in @t2 @t106)) % 251.93/252.22 (define @t298 () (tptp.disjoint @t158 @t2)) % 251.93/252.22 (define @t299 () (not @t5)) % 251.93/252.22 (define @t300 () (tptp.well_ordering @t2)) % 251.93/252.22 (define @t301 () (forall @t105 (=> @t165 @t77))) % 251.93/252.22 (define @t302 () (=> @t25 @t301)) % 251.93/252.22 (define @t303 () (forall @t6 @t302)) % 251.93/252.22 (define @t304 () (tptp.in (tptp.ordered_pair @t41 @t2) @t1)) % 251.93/252.22 (define @t305 () (tptp.singleton @t41)) % 251.93/252.22 (define @t306 () (not @t144)) % 251.93/252.22 (define @t307 () (tptp.singleton @t2)) % 251.93/252.22 (define @t308 () (tptp.union @t2)) % 251.93/252.22 (define @t309 () (tptp.in @t1 @t41)) % 251.93/252.22 (define @t310 () (tptp.element @t1 @t253)) % 251.93/252.22 (define @t311 () (tptp.relation_dom_restriction @t41 @t1)) % 251.93/252.22 (define @t312 () (tptp.in @t2 (tptp.relation_dom @t311))) % 251.93/252.22 (define @t313 () (tptp.one_to_one @t2)) % 251.93/252.22 (define @t314 () (tptp.set_intersection2 @t2 @t41)) % 251.93/252.22 (define @t315 () (tptp.set_difference @t2 @t41)) % 251.93/252.22 (define @t316 () (@var "K" $$unsorted)) % 251.93/252.22 (define @t317 () (@var "J" $$unsorted)) % 251.93/252.22 (define @t318 () (tptp.in @t316 @t317)) % 251.93/252.22 (define @t319 () (@list @t316)) % 251.93/252.22 (define @t320 () (@list @t317)) % 251.93/252.22 (define @t321 () (= @t75 @t87)) % 251.93/252.22 (define @t322 () (@var "I" $$unsorted)) % 251.93/252.22 (define @t323 () (@var "H" $$unsorted)) % 251.93/252.22 (define @t324 () (tptp.in @t322 @t323)) % 251.93/252.22 (define @t325 () (@list @t322)) % 251.93/252.22 (define @t326 () (@list @t323)) % 251.93/252.22 (define @t327 () (exists @t326 (and (= @t41 @t323) (tptp.in @t87 @t323) (forall @t325 (=> @t324 (tptp.in (tptp.ordered_pair @t87 @t322) @t2)))))) % 251.93/252.22 (define @t328 () (@var "G" $$unsorted)) % 251.93/252.22 (define @t329 () (tptp.in @t328 @t186)) % 251.93/252.22 (define @t330 () (@list @t328)) % 251.93/252.22 (define @t331 () (exists @t237 (and (= @t41 @t186) (tptp.in @t75 @t186) (forall @t330 (=> @t329 (tptp.in (tptp.ordered_pair @t75 @t328) @t2)))))) % 251.93/252.22 (define @t332 () (forall @t239 (=> (and @t77 @t331 @t77 @t327) @t321))) % 251.93/252.22 (define @t333 () (and @t183 @t83)) % 251.93/252.22 (define @t334 () (= @t75 @t307)) % 251.93/252.22 (define @t335 () (= @t41 @t307)) % 251.93/252.22 (define @t336 () (forall @t145 (=> (and @t3 @t335 @t3 @t334) @t76))) % 251.93/252.22 (define @t337 () (tptp.ordinal @t41)) % 251.93/252.22 (define @t338 () (@var "S" $$unsorted)) % 251.93/252.22 (define @t339 () (@var "T" $$unsorted)) % 251.93/252.22 (define @t340 () (@var "R" $$unsorted)) % 251.93/252.22 (define @t341 () (tptp.powerset (tptp.powerset @t75))) % 251.93/252.22 (define @t342 () (@list @t340)) % 251.93/252.22 (define @t343 () (tptp.in @t75 tptp.omega)) % 251.93/252.22 (define @t344 () (tptp.ordinal @t75)) % 251.93/252.22 (define @t345 () (@var "P" $$unsorted)) % 251.93/252.22 (define @t346 () (@var "Q" $$unsorted)) % 251.93/252.22 (define @t347 () (@var "O" $$unsorted)) % 251.93/252.22 (define @t348 () (@list @t346)) % 251.93/252.22 (define @t349 () (@list @t345)) % 251.93/252.22 (define @t350 () (@list @t347)) % 251.93/252.22 (define @t351 () (@var "M" $$unsorted)) % 251.93/252.22 (define @t352 () (@var "N" $$unsorted)) % 251.93/252.22 (define @t353 () (@var "L" $$unsorted)) % 251.93/252.22 (define @t354 () (@list @t352)) % 251.93/252.22 (define @t355 () (tptp.in @t351 @t353)) % 251.93/252.22 (define @t356 () (@list @t351)) % 251.93/252.22 (define @t357 () (@list @t353)) % 251.93/252.22 (define @t358 () (tptp.succ @t75)) % 251.93/252.22 (define @t359 () (=> @t343 (forall @t97 (=> (tptp.element @t87 @t341) (not (and (not (= @t87 tptp.empty_set)) (forall @t237 (not (and (tptp.in @t186 @t87) (forall @t330 (=> (and (tptp.in @t328 @t87) (tptp.subset @t186 @t328)) (= @t328 @t186)))))))))))) % 251.93/252.22 (define @t360 () (tptp.subset @t2 @t41)) % 251.93/252.22 (define @t361 () (tptp.powerset tptp.empty_set)) % 251.93/252.22 (define @t362 () (tptp.apply @t41 @t186)) % 251.93/252.22 (define @t363 () (tptp.in @t186 @t1)) % 251.93/252.22 (define @t364 () (tptp.relation @t75)) % 251.93/252.22 (define @t365 () (and @t83 @t42 @t214)) % 251.93/252.22 (define @t366 () (forall @t319 (=> @t318 (tptp.in (tptp.ordered_pair @t75 @t316) @t2)))) % 251.93/252.22 (define @t367 () (tptp.in @t75 @t317)) % 251.93/252.22 (define @t368 () (= @t186 @t87)) % 251.93/252.22 (define @t369 () (tptp.cartesian_product2 @t1 @t41)) % 251.93/252.22 (define @t370 () (= @t87 @t186)) % 251.93/252.22 (define @t371 () (tptp.ordered_pair @t316 @t353)) % 251.93/252.22 (define @t372 () (@list @t316 @t353)) % 251.93/252.22 (define @t373 () (= @t75 @t186)) % 251.93/252.22 (define @t374 () (tptp.in @t317 @t322)) % 251.93/252.22 (define @t375 () (tptp.in @t328 @t1)) % 251.93/252.22 (define @t376 () (tptp.ordered_pair @t328 @t323)) % 251.93/252.22 (define @t377 () (@list @t328 @t323)) % 251.93/252.22 (define @t378 () (@list @t75 @t87 @t186)) % 251.93/252.22 (define @t379 () (= @t87 @t75)) % 251.93/252.22 (define @t380 () (tptp.in @t323 @t1)) % 251.93/252.22 (define @t381 () (= @t41 @t87)) % 251.93/252.22 (define @t382 () (tptp.ordered_pair @t186 @t328)) % 251.93/252.22 (define @t383 () (@list @t186 @t328)) % 251.93/252.22 (define @t384 () (= @t75 @t41)) % 251.93/252.22 (define @t385 () (not (and (not (= @t186 tptp.empty_set)) (forall @t330 (not (and @t329 (forall @t326 (=> (and (tptp.in @t323 @t186) (tptp.subset @t328 @t323)) (= @t323 @t328))))))))) % 251.93/252.22 (define @t386 () (tptp.ordinal @t87)) % 251.93/252.22 (define @t387 () (tptp.subset @t2 @t75)) % 251.93/252.22 (define @t388 () (tptp.in @t87 @t115)) % 251.93/252.22 (define @t389 () (and @t164 @t131 @t128)) % 251.93/252.22 (define @t390 () (tptp.in (tptp.set_difference @t194 @t75) @t2)) % 251.93/252.22 (define @t391 () (and @t164 @t131 @t163)) % 251.93/252.22 (define @t392 () (and @t32 (tptp.element @t2 (tptp.powerset (tptp.powerset @t159))))) % 251.93/252.22 (define @t393 () (tptp.cartesian_product2 @t1 @t1)) % 251.93/252.22 (define @t394 () (tptp.apply @t41 @t328)) % 251.93/252.22 (define @t395 () (tptp.in (tptp.relation_image @t41 @t87) @t2)) % 251.93/252.22 (define @t396 () (tptp.powerset @t211)) % 251.93/252.22 (define @t397 () (and @t242 @t42 @t214)) % 251.93/252.22 (define @t398 () (tptp.succ @t2)) % 251.93/252.22 (define @t399 () (exists @t97 (and @t116 @t379 (tptp.closed_subset @t87 @t1) @t387))) % 251.93/252.22 (define @t400 () (tptp.in @t75 @t115)) % 251.93/252.22 (define @t401 () (tptp.apply @t2 @t41)) % 251.93/252.22 (define @t402 () (= @t139 @t1)) % 251.93/252.22 (define @t403 () (exists @t11 (and @t83 @t141 @t402 (forall @t105 (=> @t77 (= @t401 @t305)))))) % 251.93/252.22 (define @t404 () (tptp.in @t1 tptp.omega)) % 251.93/252.22 (define @t405 () (tptp.element @t75 @t115)) % 251.93/252.22 (define @t406 () (tptp.element @t41 @t162)) % 251.93/252.22 (define @t407 () (= @t1 @t41)) % 251.93/252.22 (define @t408 () (tptp.relation_rng @t104)) % 251.93/252.22 (define @t409 () (forall @t105 (not (and @t199 (not (tptp.are_equipotent @t41 @t2)) @t191)))) % 251.93/252.22 (define @t410 () (tptp.powerset @t41)) % 251.93/252.22 (define @t411 () (forall @t80 (=> (and @t165 (tptp.subset @t75 @t41)) @t90))) % 251.93/252.22 (define @t412 () (tptp.relation_dom_restriction @t41 @t2)) % 251.93/252.22 (define @t413 () (tptp.relation_image @t2 @t1)) % 251.93/252.22 (define @t414 () (tptp.relation_inverse_image @t2 @t1)) % 251.93/252.22 (define @t415 () (tptp.relation_image @t2 @t414)) % 251.93/252.22 (define @t416 () (tptp.set_intersection2 @t139 @t1)) % 251.93/252.22 (define @t417 () (tptp.subset @t1 @t140)) % 251.93/252.22 (define @t418 () (tptp.relation_of2_as_subset @t75 @t41 @t2)) % 251.93/252.22 (define @t419 () (tptp.relation_rng @t75)) % 251.93/252.22 (define @t420 () (tptp.relation_of2_as_subset @t75 @t41 @t1)) % 251.93/252.22 (define @t421 () (tptp.relation_rng @t238)) % 251.93/252.22 (define @t422 () (tptp.relation_inverse_image @t41 @t2)) % 251.93/252.22 (define @t423 () (tptp.relation_restriction @t41 @t2)) % 251.93/252.22 (define @t424 () (tptp.relation_restriction @t2 @t1)) % 251.93/252.22 (define @t425 () (tptp.relation_dom_restriction @t2 @t1)) % 251.93/252.22 (define @t426 () (tptp.relation_field @t41)) % 251.93/252.22 (define @t427 () (tptp.in @t1 @t426)) % 251.93/252.22 (define @t428 () (tptp.subset @t1 @t41)) % 251.93/252.22 (define @t429 () (tptp.element @t1 @t2)) % 251.93/252.22 (define @t430 () (tptp.in @t1 @t211)) % 251.93/252.22 (define @t431 () (tptp.in @t222 @t41)) % 251.93/252.22 (define @t432 () (tptp.relation_field @t424)) % 251.93/252.22 (define @t433 () (tptp.apply @t41 @t1)) % 251.93/252.22 (define @t434 () (tptp.relation_composition @t41 @t2)) % 251.93/252.22 (define @t435 () (tptp.in @t1 (tptp.relation_dom @t434))) % 251.93/252.22 (define @t436 () (tptp.apply @t75 @t41)) % 251.93/252.22 (define @t437 () (and @t246 (tptp.quasi_total @t75 @t1 @t2) (tptp.relation_of2_as_subset @t75 @t1 @t2))) % 251.93/252.22 (define @t438 () (tptp.reflexive @t2)) % 251.93/252.22 (define @t439 () (tptp.connected @t2)) % 251.93/252.22 (define @t440 () (tptp.transitive @t2)) % 251.93/252.22 (define @t441 () (tptp.antisymmetric @t2)) % 251.93/252.22 (define @t442 () (tptp.well_ordering @t424)) % 251.93/252.22 (define @t443 () (= @t432 @t1)) % 251.93/252.22 (define @t444 () (tptp.well_orders @t2 @t1)) % 251.93/252.22 (define @t445 () (tptp.well_founded_relation @t2)) % 251.93/252.22 (define @t446 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 251.93/252.22 (define @t447 () (and @t77 @t165)) % 251.93/252.22 (define @t448 () (exists @t105 @t447)) % 251.93/252.22 (define @t449 () (and @t448 @t234)) % 251.93/252.22 (define @t450 () (not @t449)) % 251.93/252.22 (define @t451 () (forall @t105 (not @t447))) % 251.93/252.22 (define @t452 () (not @t234)) % 251.93/252.22 (define @t453 () (and @t452 @t451)) % 251.93/252.22 (define @t454 () (not @t453)) % 251.93/252.22 (define @t455 () (and @t454 @t450)) % 251.93/252.22 (define @t456 () (forall @t6 @t455)) % 251.93/252.22 (define @t457 () (= @t1 @t398)) % 251.93/252.22 (define @t458 () (tptp.subset_complement @t1 @t41)) % 251.93/252.22 (define @t459 () (tptp.disjoint @t2 @t41)) % 251.93/252.22 (define @t460 () (tptp.relation_dom @t238)) % 251.93/252.22 (define @t461 () (and (tptp.closed_subset @t75 @t1) @t387)) % 251.93/252.22 (define @t462 () (tptp.subset @t2 @t122)) % 251.93/252.22 (define @t463 () (forall @t11 (=> @t128 @t462))) % 251.93/252.22 (define @t464 () (=> @t131 @t463)) % 251.93/252.22 (define @t465 () (forall @t13 @t464)) % 251.93/252.22 (define @t466 () (not @t465)) % 251.93/252.22 (define @t467 () (tptp.element @t2 @t410)) % 251.93/252.22 (define @t468 () (tptp.in @t41 @t65)) % 251.93/252.22 (define @t469 () (and (tptp.in @t41 @t218) (= @t75 @t401))) % 251.93/252.22 (define @t470 () (tptp.function_inverse @t2)) % 251.93/252.22 (define @t471 () (= @t218 tptp.empty_set)) % 251.93/252.22 (define @t472 () (= @t96 tptp.empty_set)) % 251.93/252.22 (define @t473 () (= (tptp.apply @t311 @t2) (tptp.apply @t41 @t2))) % 251.93/252.22 (define @t474 () (= @t158 (tptp.unordered_pair @t2 @t41))) % 251.93/252.22 (define @t475 () (@var "BOUND_VARIABLE_16460" $$unsorted)) % 251.93/252.22 (define @t476 () (@var "BOUND_VARIABLE_16474" $$unsorted)) % 251.93/252.22 (define @t477 () (not (tptp.in @t476 @t475))) % 251.93/252.22 (define @t478 () (@var "BOUND_VARIABLE_16458" $$unsorted)) % 251.93/252.22 (define @t479 () (not (tptp.in @t476 @t478))) % 251.93/252.22 (define @t480 () (not (tptp.disjoint @t478 @t475))) % 251.93/252.22 (define @t481 () (or @t480 @t479 @t477)) % 251.93/252.22 (define @t482 () (or @t479 @t477)) % 251.93/252.22 (define @t483 () (or @t482 @t480)) % 251.93/252.22 (define @t484 () (@list @t478 @t475 @t476)) % 251.93/252.22 (define @t485 () (forall @t484 @t483)) % 251.93/252.22 (define @t486 () (@list @t476)) % 251.93/252.22 (define @t487 () (forall @t486 @t483)) % 251.93/252.22 (define @t488 () (@list @t478 @t475)) % 251.93/252.22 (define @t489 () (forall @t486 @t482)) % 251.93/252.22 (define @t490 () (@list @t41)) % 251.93/252.22 (define @t491 () (or @t489 @t480)) % 251.93/252.22 (define @t492 () (forall @t488 (or (forall @t105 (or (not (tptp.in @t41 @t478)) (not (tptp.in @t41 @t475)))) @t480))) % 251.93/252.22 (define @t493 () (@var "BOUND_VARIABLE_16445" $$unsorted)) % 251.93/252.22 (define @t494 () (@var "BOUND_VARIABLE_16443" $$unsorted)) % 251.93/252.22 (define @t495 () (forall (@list @t494 @t493) (or (tptp.disjoint @t494 @t493) (not (forall @t105 (or (not (tptp.in @t41 @t494)) (not (tptp.in @t41 @t493)))))))) % 251.93/252.22 (define @t496 () (forall @t105 (or (not @t77) @t191))) % 251.93/252.22 (define @t497 () (or @t496 @t452)) % 251.93/252.22 (define @t498 () (forall @t6 @t497)) % 251.93/252.22 (define @t499 () (@list @t1 @t2)) % 251.93/252.22 (define @t500 () (not @t496)) % 251.93/252.22 (define @t501 () (or @t234 @t500)) % 251.93/252.22 (define @t502 () (forall @t6 @t501)) % 251.93/252.22 (define @t503 () (and @t502 @t498)) % 251.93/252.22 (define @t504 () (and (not (and @t452 @t496)) (not (and @t500 @t234)))) % 251.93/252.22 (define @t505 () (not @t451)) % 251.93/252.22 (define @t506 () (@var "BOUND_VARIABLE_11374" $$unsorted)) % 251.93/252.22 (define @t507 () (tptp.topstr_closure @t1 @t506)) % 251.93/252.22 (define @t508 () (@var "BOUND_VARIABLE_11376" $$unsorted)) % 251.93/252.22 (define @t509 () (= @t508 @t507)) % 251.93/252.22 (define @t510 () (not @t112)) % 251.93/252.22 (define @t511 () (not @t113)) % 251.93/252.22 (define @t512 () (not @t116)) % 251.93/252.22 (define @t513 () (not @t119)) % 251.93/252.22 (define @t514 () (forall @t99 (or @t513 (= (forall @t97 (or @t512 @t511 @t510 (not (tptp.disjoint @t506 @t87)))) (tptp.in @t75 @t508))))) % 251.93/252.22 (define @t515 () (= (= @t507 @t508) @t514)) % 251.93/252.22 (define @t516 () (not (tptp.element @t508 @t115))) % 251.93/252.22 (define @t517 () (not (tptp.element @t506 @t115))) % 251.93/252.22 (define @t518 () (not @t131)) % 251.93/252.22 (define @t519 () (or @t518 @t517 @t516 @t515)) % 251.93/252.22 (define @t520 () (or @t517 @t516 @t515)) % 251.93/252.22 (define @t521 () (or @t518 @t520)) % 251.93/252.22 (define @t522 () (@list @t1 @t506 @t508)) % 251.93/252.22 (define @t523 () (forall @t522 @t521)) % 251.93/252.22 (define @t524 () (@list @t506 @t508)) % 251.93/252.22 (define @t525 () (forall @t524 @t521)) % 251.93/252.22 (define @t526 () (forall @t524 @t520)) % 251.93/252.22 (define @t527 () (@var "BOUND_VARIABLE_11347" $$unsorted)) % 251.93/252.22 (define @t528 () (or @t518 @t526)) % 251.93/252.22 (define @t529 () (tptp.in @t75 @t527)) % 251.93/252.22 (define @t530 () (not @t111)) % 251.93/252.22 (define @t531 () (or @t512 @t511 @t510 @t530)) % 251.93/252.22 (define @t532 () (forall @t97 @t531)) % 251.93/252.22 (define @t533 () (not (tptp.element @t527 @t115))) % 251.93/252.22 (define @t534 () (not @t128)) % 251.93/252.22 (define @t535 () (@list @t2 @t527)) % 251.93/252.22 (define @t536 () (forall @t535 (or @t534 @t533 (= (= @t122 @t527) (forall @t99 (or @t513 (= @t532 @t529))))))) % 251.93/252.22 (define @t537 () (or @t513 (= @t529 @t532))) % 251.93/252.22 (define @t538 () (forall @t99 @t537)) % 251.93/252.22 (define @t539 () (= (= @t527 @t122) @t538)) % 251.93/252.22 (define @t540 () (or @t534 @t533 @t539)) % 251.93/252.22 (define @t541 () (or @t533 @t539)) % 251.93/252.22 (define @t542 () (or @t534 @t541)) % 251.93/252.22 (define @t543 () (forall @t535 @t542)) % 251.93/252.22 (define @t544 () (@list @t527)) % 251.93/252.22 (define @t545 () (forall @t544 @t542)) % 251.93/252.22 (define @t546 () (forall @t544 @t541)) % 251.93/252.22 (define @t547 () (or @t534 @t546)) % 251.93/252.22 (define @t548 () (= @t98 @t532)) % 251.93/252.22 (define @t549 () (= @t123 (forall @t99 (or @t513 @t548)))) % 251.93/252.22 (define @t550 () (forall @t105 (or (not @t125) @t549))) % 251.93/252.22 (define @t551 () (or @t511 @t510 @t530)) % 251.93/252.22 (define @t552 () (@var "BOUND_VARIABLE_16836" $$unsorted)) % 251.93/252.22 (define @t553 () (tptp.subset @t552 (tptp.topstr_closure @t1 @t552))) % 251.93/252.22 (define @t554 () (not (tptp.element @t552 @t115))) % 251.93/252.22 (define @t555 () (or @t518 @t554 @t553)) % 251.93/252.22 (define @t556 () (@list @t1 @t552)) % 251.93/252.22 (define @t557 () (forall @t556 @t555)) % 251.93/252.22 (define @t558 () (@quantifiers_skolemize @t557 1)) % 251.93/252.22 (define @t559 () (@quantifiers_skolemize @t557 0)) % 251.93/252.22 (define @t560 () (tptp.topstr_closure @t559 @t558)) % 251.93/252.22 (define @t561 () (not (tptp.disjoint @t558 @t87))) % 251.93/252.22 (define @t562 () (not (tptp.open_subset @t87 @t559))) % 251.93/252.22 (define @t563 () (tptp.the_carrier @t559)) % 251.93/252.22 (define @t564 () (tptp.powerset @t563)) % 251.93/252.22 (define @t565 () (not (tptp.element @t87 @t564))) % 251.93/252.22 (define @t566 () (forall @t99 (or (not (tptp.in @t75 @t563)) (= (forall @t97 (or @t565 @t562 @t510 @t561)) (tptp.in @t75 @t560))))) % 251.93/252.22 (define @t567 () (= @t566 (= @t560 @t560))) % 251.93/252.22 (define @t568 () (tptp.element @t560 @t564)) % 251.93/252.22 (define @t569 () (not @t568)) % 251.93/252.22 (define @t570 () (tptp.element @t558 @t564)) % 251.93/252.22 (define @t571 () (not @t570)) % 251.93/252.22 (define @t572 () (tptp.top_str @t559)) % 251.93/252.22 (define @t573 () (not @t572)) % 251.93/252.22 (define @t574 () (or @t573 @t571 @t569 @t567)) % 251.93/252.22 (define @t575 () (forall @t522 (or @t518 @t517 @t516 (= @t514 @t509)))) % 251.93/252.22 (define @t576 () (or @t573 @t571 @t569 @t566)) % 251.93/252.22 (define @t577 () (@list false)) % 251.93/252.22 (define @t578 () (or @t554 @t553)) % 251.93/252.22 (define @t579 () (or @t518 @t578)) % 251.93/252.22 (define @t580 () (forall @t556 @t579)) % 251.93/252.22 (define @t581 () (@list @t552)) % 251.93/252.22 (define @t582 () (forall @t581 @t579)) % 251.93/252.22 (define @t583 () (forall @t581 @t578)) % 251.93/252.22 (define @t584 () (or @t518 @t583)) % 251.93/252.22 (define @t585 () (forall @t11 (or @t534 @t462))) % 251.93/252.22 (define @t586 () (tptp.subset @t558 @t560)) % 251.93/252.22 (define @t587 () (or @t573 @t571 @t586)) % 251.93/252.22 (define @t588 () (@list true)) % 251.93/252.22 (define @t589 () (@list @t587)) % 251.93/252.22 (define @t590 () (or @t573 @t571 @t568)) % 251.93/252.22 (define @t591 () (@list false false false)) % 251.93/252.22 (define @t592 () (forall @t105 (or (not (tptp.in @t41 @t558)) (tptp.in @t41 @t560)))) % 251.93/252.22 (define @t593 () (@quantifiers_skolemize @t592 0)) % 251.93/252.22 (define @t594 () (forall @t97 (or @t565 @t562 (not (tptp.in @t593 @t87)) @t561))) % 251.93/252.22 (define @t595 () (tptp.in @t593 @t560)) % 251.93/252.22 (define @t596 () (tptp.in @t593 @t563)) % 251.93/252.22 (define @t597 () (not @t596)) % 251.93/252.22 (define @t598 () (or @t597 (= @t594 @t595))) % 251.93/252.22 (define @t599 () (= @t595 @t594)) % 251.93/252.22 (define @t600 () (or @t597 @t599)) % 251.93/252.22 (define @t601 () (@var "BOUND_VARIABLE_13221" $$unsorted)) % 251.93/252.22 (define @t602 () (tptp.in @t601 @t1)) % 251.93/252.22 (define @t603 () (not (tptp.in @t601 @t2))) % 251.93/252.22 (define @t604 () (not @t25)) % 251.93/252.22 (define @t605 () (or @t603 @t602)) % 251.93/252.22 (define @t606 () (or @t604 @t605)) % 251.93/252.22 (define @t607 () (forall (@list @t1 @t2 @t601) @t606)) % 251.93/252.22 (define @t608 () (@list @t601)) % 251.93/252.22 (define @t609 () (forall @t608 @t606)) % 251.93/252.22 (define @t610 () (forall @t608 @t605)) % 251.93/252.22 (define @t611 () (or @t604 @t610)) % 251.93/252.22 (define @t612 () (forall @t105 (or @t191 @t77))) % 251.93/252.22 (define @t613 () (= @t586 @t592)) % 251.93/252.22 (define @t614 () (not @t592)) % 251.93/252.22 (define @t615 () (@list true false)) % 251.93/252.22 (define @t616 () (tptp.in @t593 @t558)) % 251.93/252.22 (define @t617 () (not @t616)) % 251.93/252.22 (define @t618 () (or @t617 @t595)) % 251.93/252.22 (define @t619 () (@list @t618)) % 251.93/252.22 (define @t620 () (or @t571 @t617 @t596)) % 251.93/252.22 (define @t621 () (not @t594)) % 251.93/252.22 (define @t622 () (@quantifiers_skolemize @t594 0)) % 251.93/252.22 (define @t623 () (tptp.disjoint @t558 @t622)) % 251.93/252.22 (define @t624 () (not @t623)) % 251.93/252.22 (define @t625 () (tptp.in @t593 @t622)) % 251.93/252.22 (define @t626 () (not @t625)) % 251.93/252.22 (define @t627 () (or (not (tptp.element @t622 @t564)) (not (tptp.open_subset @t622 @t559)) @t626 @t624)) % 251.93/252.22 (define @t628 () (@list @t627)) % 251.93/252.22 (define @t629 () (or @t624 @t617 @t626)) % 251.93/252.22 (define @t630 () (not @t629)) % 251.93/252.22 (define @t631 () (forall @t484 @t481)) % 251.93/252.22 (assume @p1 (forall @t6 (=> @t5 @t4))) % 251.93/252.22 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 251.93/252.22 (assume @p3 (forall @t13 (=> @t12 (forall @t11 (=> @t10 @t9))))) % 251.93/252.22 (assume @p4 (forall @t13 (=> @t15 (forall @t11 (=> @t10 (and @t9 @t14)))))) % 251.93/252.22 (assume @p5 (forall @t13 (=> @t17 (forall @t11 (=> @t10 (and @t9 @t14 @t16)))))) % 251.93/252.22 (assume @p6 (forall @t13 (=> @t19 (forall @t11 (=> @t10 (and @t9 @t14 @t18 @t16)))))) % 251.93/252.22 (assume @p7 (forall @t13 (=> @t21 (forall @t11 (=> @t10 (and @t9 @t20 @t14 @t18 @t16)))))) % 251.93/252.22 (assume @p8 (forall @t13 (=> @t22 (and @t12 @t15 @t17 @t19 @t21)))) % 251.93/252.22 (assume @p9 (forall @t13 (=> @t12 (forall @t11 (=> @t25 @t23))))) % 251.93/252.22 (assume @p10 (forall @t13 (=> @t15 (forall @t11 (=> @t25 (and @t23 @t26)))))) % 251.93/252.22 (assume @p11 (forall @t13 (=> @t17 (forall @t11 (=> @t25 (and @t23 @t26 @t27)))))) % 251.93/252.22 (assume @p12 (forall @t13 (=> @t19 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28)))))) % 251.93/252.22 (assume @p13 (forall @t13 (=> @t32 (forall @t11 (=> @t10 (and @t31 @t30 @t29)))))) % 251.93/252.22 (assume @p14 (forall @t13 (=> @t22 @t33))) % 251.93/252.22 (assume @p15 (forall @t13 (=> @t35 @t34))) % 251.93/252.22 (assume @p16 (forall @t13 (=> @t22 @t36))) % 251.93/252.22 (assume @p17 (forall @t13 (=> @t21 @t19))) % 251.93/252.22 (assume @p18 (forall @t13 (=> @t32 @t39))) % 251.93/252.22 (assume @p19 (forall @t13 (=> @t22 @t40))) % 251.93/252.22 (assume @p20 (forall @t45 (=> @t44 @t42))) % 251.93/252.22 (assume @p21 (forall @t13 (=> @t21 (forall @t11 (=> @t25 (and @t23 @t26 @t27 @t28 (tptp.v5_membered @t2))))))) % 251.93/252.22 (assume @p22 (forall @t13 (=> (and @t22 @t32) @t47))) % 251.93/252.22 (assume @p23 (forall @t13 (=> @t33 (forall @t11 (=> @t25 @t48))))) % 251.93/252.22 (assume @p24 (forall @t13 (=> @t34 @t35))) % 251.93/252.22 (assume @p25 (forall @t13 (=> @t51 @t50))) % 251.93/252.22 (assume @p26 (forall @t13 (=> @t19 @t17))) % 251.93/252.22 (assume @p27 (forall @t13 (=> @t39 @t32))) % 251.93/252.22 (assume @p28 (forall @t13 (=> (tptp.element @t1 tptp.omega) @t47))) % 251.93/252.22 (assume @p29 (forall @t13 (=> @t17 @t15))) % 251.93/252.22 (assume @p30 (forall @t13 (=> @t22 @t52))) % 251.93/252.22 (assume @p31 (forall @t13 (=> @t15 @t12))) % 251.93/252.22 (assume @p32 (forall @t6 (= @t53 (tptp.unordered_pair @t2 @t1)))) % 251.93/252.22 (assume @p33 (forall @t6 (= @t55 @t54))) % 251.93/252.22 (assume @p34 (forall @t45 (=> @t63 (= @t56 (tptp.join_commut @t1 @t41 @t2))))) % 251.93/252.22 (assume @p35 (forall @t6 (= @t65 @t64))) % 251.93/252.22 (assume @p36 (forall @t45 (=> @t69 (= @t66 (tptp.meet_commut @t1 @t41 @t2))))) % 251.93/252.22 (assume @p37 (forall @t45 (=> @t72 (= @t70 (tptp.subset_intersection2 @t1 @t41 @t2))))) % 251.93/252.22 (assume @p38 (forall @t6 (=> @t74 (or @t73 (tptp.ordinal_subset @t2 @t1))))) % 251.93/252.22 (assume @p39 (forall @t6 (=> @t83 (= @t82 (forall @t80 (= @t79 (and @t77 @t76))))))) % 251.93/252.22 (assume @p40 (forall @t6 (= @t86 (and @t85 @t84)))) % 251.93/252.22 (assume @p41 (forall @t13 (=> @t40 (forall @t94 (=> @t42 (= (= @t41 @t93) (forall @t92 (= @t91 (and @t90 @t89))))))))) % 251.93/252.22 (assume @p42 (forall @t13 (=> @t102 (forall @t94 (= @t101 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t87 @t96) @t95 (= @t75 (tptp.apply @t1 @t87))))))))))) % 251.93/252.22 (assume @p43 (forall @t6 (=> @t83 (forall @t105 (=> @t42 (= (= @t41 @t104) (forall @t92 (= @t91 (and @t103 (tptp.in @t88 @t2)))))))))) % 251.93/252.22 (assume @p44 (forall @t13 (=> @t40 (= @t107 (tptp.is_antisymmetric_in @t1 @t106))))) % 251.93/252.22 (assume @p45 (forall @t13 (=> @t102 (forall @t94 (= @t110 (forall @t99 (= @t98 (and @t109 (tptp.in @t108 @t2))))))))) % 251.93/252.22 (assume @p46 @t133) % 251.93/252.22 (assume @p47 (forall @t13 (=> @t40 (forall @t94 (= @t101 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t134 @t1) @t95))))))))) % 251.93/252.22 (assume @p48 (forall @t13 (=> @t40 (forall @t94 (= @t110 (forall @t99 (= @t98 (exists @t97 (and @t89 @t95))))))))) % 251.93/252.22 (assume @p49 (forall @t13 (=> @t40 (= @t135 (tptp.is_connected_in @t1 @t106))))) % 251.93/252.22 (assume @p50 (forall @t13 (=> @t40 (= @t136 (tptp.is_transitive_in @t1 @t106))))) % 251.93/252.22 (assume @p51 (forall @t138 (= (= @t75 (tptp.unordered_triple @t1 @t2 @t41)) (forall @t97 (= @t137 (not (and (not (= @t87 @t1)) (not (= @t87 @t2)) (not (= @t87 @t41))))))))) % 251.93/252.22 (assume @p52 (forall @t13 (= @t33 (exists @t11 (and @t83 @t141 (= @t140 @t1) (tptp.in @t139 tptp.omega)))))) % 251.93/252.22 (assume @p53 (forall @t13 (= @t36 (forall @t145 (=> (and @t144 @t142) @t76))))) % 251.93/252.22 (assume @p54 (forall @t45 (=> @t151 (and (=> (=> @t149 @t148) (= @t147 (= @t1 @t150))) (=> @t149 (or @t148 (= @t147 @t146))))))) % 251.93/252.22 (assume @p55 (forall @t13 (=> @t154 (forall @t11 (=> @t59 (forall @t105 (=> @t58 (= @t153 (tptp.apply_binary_as_element @t57 @t57 @t57 @t152 @t2 @t41))))))))) % 251.93/252.22 (assume @p56 (forall @t13 (=> @t157 (forall @t11 (= (= @t2 (tptp.pair_first @t1)) (forall @t80 (=> @t156 @t155))))))) % 251.93/252.22 (assume @p57 (forall @t13 (= @t159 (tptp.set_union2 @t1 @t158)))) % 251.93/252.22 (assume @p58 (forall @t13 (=> @t131 (= @t164 (and (tptp.in @t57 @t160) (forall @t11 (=> @t163 (=> (tptp.subset @t2 @t160) (tptp.in (tptp.union_of_subsets @t57 @t2) @t160)))) (forall @t11 (=> @t128 (forall @t105 (=> @t125 (=> (and @t161 (tptp.in @t41 @t160)) (tptp.in (tptp.subset_intersection2 @t57 @t2 @t41) @t160))))))))))) % 251.93/252.22 (assume @p59 (forall @t13 (= @t40 (forall @t11 (not (and @t3 (forall @t80 (not (= @t2 @t78))))))))) % 251.93/252.22 (assume @p60 (forall @t13 (=> @t40 (forall @t11 (= @t166 (forall @t105 (=> @t165 (tptp.in (tptp.ordered_pair @t41 @t41) @t1)))))))) % 251.93/252.22 (assume @p61 (forall @t45 (= @t167 (tptp.subset @t41 @t43)))) % 251.93/252.22 (assume @p62 (forall @t6 (and (=> @t171 (= @t168 (forall @t105 (= @t165 (forall @t99 (=> @t170 @t169)))))) (=> @t148 (= @t168 @t149))))) % 251.93/252.22 (assume @p63 (forall @t6 (= (= @t2 @t158) (forall @t105 (= @t165 (= @t41 @t1)))))) % 251.93/252.22 (assume @p64 (forall @t13 (=> @t40 (forall @t94 (= (= @t41 (tptp.fiber @t1 @t2)) (forall @t99 (= @t98 (and (not @t172) (tptp.in (tptp.ordered_pair @t75 @t2) @t1))))))))) % 251.93/252.22 (assume @p65 (forall @t6 (=> @t83 (= (= @t2 @t175) (and (= @t174 @t1) (forall @t80 (=> (and @t77 @t170) (= @t79 @t173)))))))) % 251.93/252.22 (assume @p66 (forall @t13 (= @t148 (forall @t11 @t4)))) % 251.93/252.22 (assume @p67 (forall @t6 (= (= @t2 @t24) (forall @t105 (= @t165 (tptp.subset @t41 @t1)))))) % 251.93/252.22 (assume @p68 (forall @t13 (=> (and @t62 @t67) (forall @t11 (=> @t59 (forall @t105 (=> @t58 (= @t177 (tptp.apply_binary_as_element @t57 @t57 @t57 @t176 @t2 @t41))))))))) % 251.93/252.22 (assume @p69 (forall @t13 (=> @t157 (forall @t11 (= (= @t2 (tptp.pair_second @t1)) (forall @t80 (=> @t156 @t178))))))) % 251.93/252.22 (assume @p70 (forall @t13 (= @t38 (forall @t11 (=> @t3 @t84))))) % 251.93/252.22 (assume @p71 (forall @t13 (=> @t180 (= @t179 tptp.empty_set)))) % 251.93/252.22 (assume @p72 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= @t86 (forall @t80 (= @t181 @t79)))))))) % 251.93/252.22 (assume @p73 (forall @t6 (and (=> @t183 (= @t10 @t3)) (=> @t22 (= @t10 @t182))))) % 251.93/252.22 (assume @p74 (forall @t45 (= (= @t41 @t53) (forall @t99 (= @t98 (or (= @t75 @t1) @t172)))))) % 251.93/252.22 (assume @p75 (forall @t13 (=> @t40 (= @t185 (forall @t11 (not (and (tptp.subset @t2 @t106) @t184 (forall @t105 (not (and @t165 (tptp.disjoint (tptp.fiber @t1 @t41) @t2))))))))))) % 251.93/252.22 (assume @p76 (forall @t45 (= (= @t41 @t55) (forall @t99 (= @t98 (or @t170 @t90)))))) % 251.93/252.22 (assume @p77 (forall @t45 (= (= @t41 @t43) (forall @t99 (= @t98 (exists @t189 (and @t103 @t188 (= @t75 @t187)))))))) % 251.93/252.22 (assume @p78 (forall @t13 (=> @t154 (forall @t11 (=> @t59 (forall @t105 (=> @t58 (= @t190 (= @t153 @t41))))))))) % 251.93/252.22 (assume @p79 (forall @t13 (= @t37 (forall @t94 (not (and @t3 @t77 (not @t193) @t192 @t191)))))) % 251.93/252.22 (assume @p80 (forall @t13 (=> @t180 (= @t194 @t57)))) % 251.93/252.22 (assume @p81 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= @t85 (forall @t80 (=> @t181 @t79)))))))) % 251.93/252.22 (assume @p82 @t197) % 251.93/252.22 (assume @p83 (forall @t13 (=> @t40 (forall @t11 (= @t200 (forall @t105 (not (and @t199 @t198 (forall @t99 (not (and @t98 (tptp.disjoint (tptp.fiber @t1 @t75) @t41)))))))))))) % 251.93/252.22 (assume @p84 (forall @t45 (= (= @t41 @t65) (forall @t99 (= @t98 (and @t170 @t90)))))) % 251.93/252.22 (assume @p85 (forall @t13 (=> @t102 (forall @t94 (and (=> @t203 (= @t202 @t144)) (=> (not @t203) (= @t202 @t146))))))) % 251.93/252.22 (assume @p86 (forall @t13 (= @t32 @t39))) % 251.93/252.22 (assume @p87 (forall @t13 (=> @t40 (forall @t11 (= (= @t2 @t96) (forall @t105 (= @t165 (exists @t99 @t181)))))))) % 251.93/252.22 (assume @p88 (forall @t13 (=> @t40 (forall @t11 (= @t205 (forall @t80 (=> (and @t165 @t90 @t181 @t204) @t76))))))) % 251.93/252.22 (assume @p89 (forall @t13 (= @t206 @t1))) % 251.93/252.22 (assume @p90 (forall @t6 (= (= @t2 @t207) (forall @t105 (= @t165 (exists @t99 (and @t169 @t170))))))) % 251.93/252.22 (assume @p91 (forall @t13 (=> @t40 (= @t209 (and @t208 @t136 @t107 @t135 @t185))))) % 251.93/252.22 (assume @p92 (forall @t6 (= @t215 (exists @t105 (and @t42 @t214 @t213 @t212 (= @t210 @t2)))))) % 251.93/252.22 (assume @p93 (forall @t45 (= (= @t41 @t216) (forall @t99 (= @t98 (and @t170 (not @t90))))))) % 251.93/252.22 (assume @p94 (forall @t13 (=> @t102 (forall @t11 (= @t219 (forall @t105 (= @t165 (exists @t99 @t217)))))))) % 251.93/252.22 (assume @p95 (forall @t13 (= (= @t1 tptp.omega) (and (tptp.in tptp.empty_set @t1) @t220 @t32 (forall @t11 (=> @t29 (=> (and (tptp.in tptp.empty_set @t2) (tptp.being_limit_ordinal @t2)) @t85))))))) % 251.93/252.22 (assume @p96 (forall @t13 (=> @t131 (forall @t11 (=> @t128 (= (tptp.open_subset @t2 @t1) @t161)))))) % 251.93/252.22 (assume @p97 (forall @t13 (=> @t40 (forall @t11 (= @t219 (forall @t105 (= @t165 (exists @t99 @t204)))))))) % 251.93/252.22 (assume @p98 (forall @t6 (=> @t25 (= @t221 @t216)))) % 251.93/252.22 (assume @p99 (forall @t6 (= @t222 (tptp.unordered_pair @t53 @t158)))) % 251.93/252.22 (assume @p100 (forall @t13 (=> @t40 (forall @t11 (= (tptp.well_orders @t1 @t2) (and @t166 @t224 @t205 @t223 @t200)))))) % 251.93/252.22 (assume @p101 (forall @t13 (= @t220 (= @t1 @t207)))) % 251.93/252.22 (assume @p102 (forall @t13 (=> @t131 (forall @t11 (=> @t128 (= @t226 (tptp.open_subset @t225 @t1))))))) % 251.93/252.22 (assume @p103 (forall @t13 (=> @t40 (= @t106 (tptp.set_union2 @t96 @t218))))) % 251.93/252.22 (assume @p104 (forall @t13 (=> @t40 (forall @t11 (= @t223 (forall @t80 (not (and @t165 @t90 (not @t76) (not @t181) (not @t204))))))))) % 251.93/252.22 (assume @p105 (forall @t13 (=> @t40 (forall @t11 (= @t228 (tptp.set_intersection2 @t1 @t227)))))) % 251.93/252.22 (assume @p106 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= (= @t2 @t229) (forall @t80 (= @t79 @t204)))))))) % 251.93/252.22 (assume @p107 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t233 (= @t232 (and (= @t211 @t106) (= @t210 @t174) @t213 (forall @t92 (= @t89 (and (tptp.in @t75 @t106) (tptp.in @t87 @t106) (tptp.in (tptp.ordered_pair @t231 @t230) @t2))))))))))))) % 251.93/252.22 (assume @p108 (forall @t6 (= @t234 (= @t65 tptp.empty_set)))) % 251.93/252.22 (assume @p109 (forall @t13 (=> @t102 (= @t49 (forall @t94 (=> (and @t203 (tptp.in @t41 @t96) (= @t201 (tptp.apply @t1 @t41))) @t155)))))) % 251.93/252.22 (assume @p110 (forall @t13 (=> (and @t62 @t236) (= @t235 (forall @t11 (=> @t59 (forall @t105 (=> @t58 (= (tptp.join @t1 @t177 @t41) @t41))))))))) % 251.93/252.22 (assume @p111 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t42 (= (= @t41 @t238) (forall @t92 (= @t91 (exists @t237 (and (tptp.in (tptp.ordered_pair @t75 @t186) @t1) (tptp.in (tptp.ordered_pair @t186 @t87) @t2))))))))))))) % 251.93/252.22 (assume @p112 (forall @t13 (=> @t40 (forall @t11 (= @t224 (forall @t239 (=> (and @t165 @t90 @t95 @t181 @t89) (tptp.in (tptp.ordered_pair @t41 @t87) @t1)))))))) % 251.93/252.22 (assume @p113 (forall @t6 (=> @t242 (forall @t105 (=> (tptp.element @t41 @t241) (= (= @t41 @t240) (forall @t99 (=> (tptp.element @t75 @t24) (= @t98 (tptp.in (tptp.subset_complement @t1 @t75) @t2)))))))))) % 251.93/252.22 (assume @p114 (forall @t6 (= @t8 (and @t85 @t243)))) % 251.93/252.22 (assume @p115 (forall @t13 (=> @t102 (=> @t49 (= @t244 @t229))))) % 251.93/252.22 (assume @p116 (forall @t13 (=> @t40 (= @t208 (tptp.is_reflexive_in @t1 @t106))))) % 251.93/252.22 (assume @p117 true) % 251.93/252.22 (assume @p118 (forall @t45 (=> (and @t62 @t60 @t59 @t58) (tptp.element @t153 @t57)))) % 251.93/252.22 (assume @p119 (forall @t13 (=> @t180 (tptp.element @t179 @t115)))) % 251.93/252.22 (assume @p120 (forall @t13 (tptp.relation @t175))) % 251.93/252.22 (assume @p121 (forall @t249 (=> @t248 (tptp.element @t245 @t41)))) % 251.93/252.22 (assume @p122 (forall @t13 (=> @t102 (and (tptp.relation @t244) (tptp.function @t244))))) % 251.93/252.22 (assume @p123 (forall @t45 (=> (and @t62 @t67 @t59 @t58) (tptp.element @t177 @t57)))) % 251.93/252.22 (assume @p124 (forall @t13 (=> @t180 (tptp.element @t194 @t115)))) % 251.93/252.22 (assume @p125 (forall @t13 (tptp.element @t206 @t24))) % 251.93/252.22 (assume @p126 (forall @t6 (=> @t40 (tptp.relation @t228)))) % 251.93/252.22 (assume @p127 (forall @t45 (=> @t63 (tptp.element @t56 @t57)))) % 251.93/252.22 (assume @p128 (forall @t6 (=> @t25 (tptp.element @t221 @t24)))) % 251.93/252.22 (assume @p129 (forall @t45 (=> @t69 (tptp.element @t66 @t57)))) % 251.93/252.22 (assume @p130 (forall @t13 (=> @t40 @t250))) % 251.93/252.22 (assume @p131 (forall @t45 (=> @t167 (tptp.element @t150 @t24)))) % 251.93/252.22 (assume @p132 (forall @t6 (=> @t252 @t251))) % 251.93/252.22 (assume @p133 (forall @t45 (=> @t167 (tptp.element @t254 @t253)))) % 251.93/252.22 (assume @p134 (forall @t6 (=> @t242 (tptp.element @t255 @t24)))) % 251.93/252.22 (assume @p135 (forall @t45 (=> @t72 (tptp.element @t70 @t24)))) % 251.93/252.22 (assume @p136 @t258) % 251.93/252.22 (assume @p137 (forall @t13 @t259)) % 251.93/252.22 (assume @p138 (forall @t6 (=> @t242 (tptp.element @t260 @t24)))) % 251.93/252.22 (assume @p139 (forall @t45 (=> @t72 (tptp.element @t261 @t24)))) % 251.93/252.22 (assume @p140 (forall @t6 (=> @t40 @t262))) % 251.93/252.22 (assume @p141 (forall @t6 (=> @t242 (tptp.element @t240 @t241)))) % 251.93/252.22 (assume @p142 (forall @t6 (=> @t83 @t263))) % 251.93/252.22 (assume @p143 (forall @t13 (=> @t67 @t180))) % 251.93/252.22 (assume @p144 (forall @t13 (=> @t131 @t180))) % 251.93/252.22 (assume @p145 (forall @t13 (=> @t60 @t180))) % 251.93/252.22 (assume @p146 (forall @t13 (=> @t236 (and @t67 @t60)))) % 251.93/252.22 (assume @p147 (forall @t45 (=> @t151 @t44))) % 251.93/252.22 (assume @p148 (forall @t13 (=> @t67 (and (tptp.function @t176) (tptp.quasi_total @t176 @t264 @t57) (tptp.relation_of2_as_subset @t176 @t264 @t57))))) % 251.93/252.22 (assume @p149 (forall @t13 (=> @t131 (tptp.element @t160 @t162)))) % 251.93/252.22 (assume @p150 (forall @t13 (=> @t60 (and (tptp.function @t152) (tptp.quasi_total @t152 @t264 @t57) (tptp.relation_of2_as_subset @t152 @t264 @t57))))) % 251.93/252.22 (assume @p151 (exists @t13 @t67)) % 251.93/252.22 (assume @p152 (exists @t13 @t131)) % 251.93/252.22 (assume @p153 (exists @t13 @t180)) % 251.93/252.22 (assume @p154 (exists @t13 @t60)) % 251.93/252.22 (assume @p155 (exists @t13 @t236)) % 251.93/252.22 (assume @p156 (forall @t6 (exists @t105 @t167))) % 251.93/252.22 (assume @p157 (forall @t13 (exists @t11 @t10))) % 251.93/252.22 (assume @p158 (forall @t6 (exists @t105 @t151))) % 251.93/252.22 (assume @p159 (forall @t6 (=> @t48 @t265))) % 251.93/252.22 (assume @p160 (forall @t6 (=> @t267 (and (tptp.empty @t266) (tptp.relation @t266))))) % 251.93/252.22 (assume @p161 (forall @t6 (=> @t33 @t265))) % 251.93/252.22 (assume @p162 (forall @t13 (=> @t22 (and (tptp.empty @t229) @t250)))) % 251.93/252.22 (assume @p163 (forall @t6 (=> @t33 (tptp.finite @t216)))) % 251.93/252.22 (assume @p164 (and @t270 @t269 @t268)) % 251.93/252.22 (assume @p165 (forall @t6 (=> (and @t40 @t36 @t48) (tptp.finite @t100)))) % 251.93/252.22 (assume @p166 (forall @t6 (=> @t272 (and @t262 (tptp.relation_empty_yielding @t93))))) % 251.93/252.22 (assume @p167 (forall @t13 (and @t273 (tptp.finite @t158)))) % 251.93/252.22 (assume @p168 (forall @t13 (and @t274 (tptp.cup_closed @t24) (tptp.diff_closed @t24) (tptp.preboolean @t24)))) % 251.93/252.22 (assume @p169 (forall @t6 (=> (and @t40 @t36 @t83 @t141) (and @t251 (tptp.function @t238))))) % 251.93/252.22 (assume @p170 (forall @t13 @t275)) % 251.93/252.22 (assume @p171 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 251.93/252.22 (assume @p172 (forall @t13 (=> @t180 (and (tptp.empty @t179) (tptp.v1_membered @t179) (tptp.v2_membered @t179) (tptp.v3_membered @t179) (tptp.v4_membered @t179) (tptp.v5_membered @t179))))) % 251.93/252.22 (assume @p173 (forall @t6 (=> @t252 (tptp.relation @t65)))) % 251.93/252.22 (assume @p174 (forall @t13 (=> @t276 (not (tptp.empty @t57))))) % 251.93/252.22 (assume @p175 (forall @t13 @t274)) % 251.93/252.22 (assume @p176 @t270) % 251.93/252.22 (assume @p177 (forall @t6 (not (tptp.empty @t222)))) % 251.93/252.22 (assume @p178 (forall @t6 (=> @t12 @t277))) % 251.93/252.22 (assume @p179 (forall @t6 (=> @t12 @t278))) % 251.93/252.22 (assume @p180 (forall @t6 (=> @t15 (and @t277 @t279)))) % 251.93/252.22 (assume @p181 (forall @t13 (=> (and @t32 @t46) (and @t275 @t282 @t281 @t280 (tptp.natural @t159))))) % 251.93/252.22 (assume @p182 (forall @t13 (and @t259 (tptp.function @t81)))) % 251.93/252.22 (assume @p183 (and @t269 @t268 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t270 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 251.93/252.22 (assume @p184 (forall @t6 (=> @t252 (tptp.relation @t55)))) % 251.93/252.22 (assume @p185 (forall @t13 @t273)) % 251.93/252.22 (assume @p186 (forall @t6 (=> @t183 (not (tptp.empty @t55))))) % 251.93/252.22 (assume @p187 (forall @t6 (=> @t15 (and @t278 @t283)))) % 251.93/252.22 (assume @p188 (forall @t6 (=> @t17 (and @t277 @t279 @t284)))) % 251.93/252.22 (assume @p189 (forall @t6 (=> @t17 (and @t278 @t283 @t285)))) % 251.93/252.22 (assume @p190 (forall @t6 (=> @t19 (and @t277 @t279 @t284 @t286)))) % 251.93/252.22 (assume @p191 (forall @t6 (=> @t19 (and @t278 @t283 @t285 @t287)))) % 251.93/252.22 (assume @p192 (forall @t6 (=> @t21 (and @t277 @t279 @t284 @t286 (tptp.v5_membered @t65))))) % 251.93/252.22 (assume @p193 (forall @t6 (=> @t21 (and @t278 @t283 @t285 @t287 (tptp.v5_membered @t64))))) % 251.93/252.22 (assume @p194 (forall @t6 (=> @t12 @t288))) % 251.93/252.22 (assume @p195 (forall @t6 (=> @t15 (and @t288 @t289)))) % 251.93/252.22 (assume @p196 (forall @t6 (=> @t17 (and @t288 @t289 @t290)))) % 251.93/252.22 (assume @p197 (forall @t13 (=> @t50 (and @t250 (tptp.function @t229))))) % 251.93/252.22 (assume @p198 (forall @t13 (=> @t32 (and @t275 @t282 @t281 @t280)))) % 251.93/252.22 (assume @p199 (forall @t6 (=> @t252 (tptp.relation @t216)))) % 251.93/252.22 (assume @p200 (forall @t6 (not (tptp.empty @t53)))) % 251.93/252.22 (assume @p201 (forall @t6 (=> @t183 (not (tptp.empty @t54))))) % 251.93/252.22 (assume @p202 (forall @t6 (=> @t19 (and @t288 @t289 @t290 @t291)))) % 251.93/252.22 (assume @p203 (forall @t6 (=> @t21 (and @t288 @t289 @t290 @t291 (tptp.v5_membered @t216))))) % 251.93/252.22 (assume @p204 (forall @t6 (=> @t102 (and @t262 (tptp.function @t93))))) % 251.93/252.22 (assume @p205 (forall @t13 (=> @t32 (and (tptp.epsilon_transitive @t207) (tptp.epsilon_connected @t207) (tptp.ordinal @t207))))) % 251.93/252.22 (assume @p206 (and @t270 @t269)) % 251.93/252.22 (assume @p207 (forall @t6 (=> (and @t183 @t247) (not (tptp.empty @t43))))) % 251.93/252.22 (assume @p208 (forall @t6 (=> @t292 (and @t263 (tptp.function @t104))))) % 251.93/252.22 (assume @p209 (forall @t13 (=> @t293 (tptp.closed_subset @t194 @t1)))) % 251.93/252.22 (assume @p210 (forall @t13 (=> @t295 (not @t294)))) % 251.93/252.22 (assume @p211 (and @t270 (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set))) % 251.93/252.22 (assume @p212 (forall @t13 (=> @t295 (not @t296)))) % 251.93/252.22 (assume @p213 (forall @t13 (=> @t22 (and @t294 (tptp.relation @t96))))) % 251.93/252.22 (assume @p214 (forall @t13 (=> @t22 (and @t296 (tptp.relation @t218))))) % 251.93/252.22 (assume @p215 (forall @t6 (=> (and @t33 @t48) (tptp.finite @t55)))) % 251.93/252.22 (assume @p216 (forall @t6 (=> @t267 (and (tptp.empty @t238) @t251)))) % 251.93/252.22 (assume @p217 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 251.93/252.22 (assume @p218 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 251.93/252.22 (assume @p219 (forall @t45 (=> @t72 (= (tptp.subset_intersection2 @t1 @t2 @t2) @t2)))) % 251.93/252.22 (assume @p220 (forall @t6 (=> @t25 (= (tptp.subset_complement @t1 @t221) @t2)))) % 251.93/252.22 (assume @p221 (forall @t13 (=> @t40 (= (tptp.relation_inverse @t229) @t1)))) % 251.93/252.22 (assume @p222 (forall @t6 (=> @t242 (= (tptp.complements_of_subsets @t1 @t240) @t2)))) % 251.93/252.22 (assume @p223 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 251.93/252.22 (assume @p224 (forall @t13 (=> @t40 (= @t208 (forall @t11 (=> @t297 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 251.93/252.22 (assume @p225 (forall @t13 (not (= @t158 tptp.empty_set)))) % 251.93/252.22 (assume @p226 (forall @t6 (=> @t5 (= (tptp.set_union2 @t158 @t2) @t2)))) % 251.93/252.22 (assume @p227 (forall @t6 (not (and @t298 @t5)))) % 251.93/252.22 (assume @p228 (forall @t6 (=> @t299 @t298))) % 251.93/252.22 (assume @p229 (forall @t6 (=> @t83 (tptp.subset (tptp.relation_dom @t104) @t139)))) % 251.93/252.22 (assume @p230 (forall @t13 (=> @t40 (= @t136 (forall @t145 (=> (and @t144 @t181) @t142)))))) % 251.93/252.22 (assume @p231 (forall @t6 (= (tptp.subset @t158 @t2) @t5))) % 251.93/252.22 (assume @p232 (forall @t6 (=> @t83 (not (and @t300 (tptp.equipotent @t1 @t174) (forall @t105 (=> @t42 (not (tptp.well_orders @t41 @t1))))))))) % 251.93/252.22 (assume @p233 (forall @t6 (= (= @t216 tptp.empty_set) @t85))) % 251.93/252.22 (assume @p234 @t303) % 251.93/252.22 (assume @p235 (forall @t13 (=> @t40 (= @t107 (forall @t94 (=> (and @t144 @t304) @t155)))))) % 251.93/252.22 (assume @p236 (forall @t45 (=> @t85 (or @t77 (tptp.subset @t1 (tptp.set_difference @t2 @t305)))))) % 251.93/252.22 (assume @p237 (forall @t13 (=> @t40 (= @t135 (forall @t94 (not (and @t297 (tptp.in @t41 @t106) @t192 @t306 (not @t304)))))))) % 251.93/252.22 (assume @p238 (forall @t6 (= (tptp.subset @t1 @t307) (or @t148 (= @t1 @t307))))) % 251.93/252.22 (assume @p239 (forall @t6 (=> @t5 (tptp.subset @t1 @t308)))) % 251.93/252.22 (assume @p240 (forall @t138 (= (tptp.in @t222 (tptp.cartesian_product2 @t41 @t75)) (and @t309 (tptp.in @t2 @t75))))) % 251.93/252.22 (assume @p241 (forall @t6 (=> @t195 @t310))) % 251.93/252.22 (assume @p242 (forall @t45 (=> @t233 (= @t312 (and (tptp.in @t2 @t211) @t3))))) % 251.93/252.22 (assume @p243 (exists @t13 (and @t183 @t38 @t37 @t32 @t46))) % 251.93/252.22 (assume @p244 (exists @t13 (and @t183 @t33))) % 251.93/252.22 (assume @p245 (exists @t13 @t102)) % 251.93/252.22 (assume @p246 (forall @t6 (exists @t105 (and @t167 @t42 @t214 @t147)))) % 251.93/252.22 (assume @p247 (exists @t13 (and @t183 @t12 @t15 @t17 @t19 @t21))) % 251.93/252.22 (assume @p248 (exists @t13 @t52)) % 251.93/252.22 (assume @p249 (exists @t13 (and @t38 @t37 @t32 @t220))) % 251.93/252.22 (assume @p250 (exists @t13 (and @t40 @t36 @t49 @t22))) % 251.93/252.22 (assume @p251 (exists @t13 (and @t22 @t40))) % 251.93/252.22 (assume @p252 (forall @t13 (=> @t183 (exists @t11 (and @t25 @t247))))) % 251.93/252.22 (assume @p253 (exists @t13 @t22)) % 251.93/252.22 (assume @p254 (forall @t13 (exists @t11 (and @t25 @t182 @t83 @t141 @t313 @t31 @t30 @t29 @t20 @t48)))) % 251.93/252.22 (assume @p255 (exists @t13 @t51)) % 251.93/252.22 (assume @p256 (exists @t13 (and @t40 @t36 @t49 @t22 @t38 @t37 @t32))) % 251.93/252.22 (assume @p257 (forall @t6 (exists @t105 (and @t167 @t42 @t214)))) % 251.93/252.22 (assume @p258 (exists @t13 @t295)) % 251.93/252.22 (assume @p259 (forall @t13 (exists @t11 (and @t25 @t182)))) % 251.93/252.22 (assume @p260 (exists @t13 @t183)) % 251.93/252.22 (assume @p261 (forall @t13 (=> @t183 (exists @t11 (and @t25 @t247 @t48))))) % 251.93/252.22 (assume @p262 (exists @t13 @t50)) % 251.93/252.22 (assume @p263 (exists @t13 (and @t183 @t38 @t37 @t32))) % 251.93/252.22 (assume @p264 (exists @t13 @t272)) % 251.93/252.22 (assume @p265 (exists @t13 (and @t180 @t62))) % 251.93/252.22 (assume @p266 (exists @t13 (and @t40 @t271 @t36))) % 251.93/252.22 (assume @p267 (forall @t13 (=> @t276 (exists @t11 (and @t128 @t247))))) % 251.93/252.22 (assume @p268 (forall @t13 (=> @t293 (exists @t11 (and @t128 @t226))))) % 251.93/252.22 (assume @p269 (forall @t249 (=> @t248 (= @t245 (tptp.apply_binary @t75 @t87 @t186))))) % 251.93/252.22 (assume @p270 (forall @t45 (=> @t63 (= @t56 @t153)))) % 251.93/252.22 (assume @p271 (forall @t45 (=> @t69 (= @t66 @t177)))) % 251.93/252.22 (assume @p272 (forall @t45 (=> @t167 (= @t150 @t211)))) % 251.93/252.22 (assume @p273 (forall @t45 (=> @t167 (= @t254 @t210)))) % 251.93/252.22 (assume @p274 (forall @t6 (=> @t242 (= @t255 @t308)))) % 251.93/252.22 (assume @p275 (forall @t45 (=> @t72 (= @t70 @t314)))) % 251.93/252.22 (assume @p276 (forall @t6 (=> @t242 (= @t260 (tptp.set_meet @t2))))) % 251.93/252.22 (assume @p277 (forall @t45 (=> @t72 (= @t261 @t315)))) % 251.93/252.22 (assume @p278 (forall @t45 (= @t151 @t167))) % 251.93/252.22 (assume @p279 (forall @t6 (=> @t74 (= @t73 @t85)))) % 251.93/252.22 (assume @p280 (forall @t6 (= @t215 (tptp.are_equipotent @t1 @t2)))) % 251.93/252.22 (assume @p281 (forall @t6 (=> @t74 (tptp.ordinal_subset @t1 @t1)))) % 251.93/252.22 (assume @p282 (forall @t6 (tptp.subset @t1 @t1))) % 251.93/252.22 (assume @p283 (forall @t6 (tptp.equipotent @t1 @t1))) % 251.93/252.22 (assume @p284 (forall @t6 (=> @t333 (=> @t332 (exists @t105 (and @t42 @t214 (forall @t92 (= @t91 (and @t170 @t170 (exists @t320 (and (= @t75 @t317) (tptp.in @t87 @t317) (forall @t319 (=> @t318 (tptp.in (tptp.ordered_pair @t87 @t316) @t2)))))))))))))) % 251.93/252.22 (assume @p285 (forall @t13 (=> @t336 (exists @t11 (and @t83 @t141 (forall @t80 (= @t79 (and @t77 @t77 (= @t75 @t305))))))))) % 251.93/252.22 (assume @p286 (forall @t13 (=> (exists @t11 (and @t29 @t3)) (exists @t11 (and @t29 @t3 (forall @t105 (=> @t337 (=> @t77 (tptp.ordinal_subset @t2 @t41))))))))) % 251.93/252.22 (assume @p287 (=> (and (=> (tptp.in tptp.empty_set tptp.omega) (forall @t13 (=> (tptp.element @t1 (tptp.powerset @t361)) (not (and @t171 (forall @t11 (not (and @t3 (forall @t105 (=> (and @t77 @t360) (= @t41 @t2))))))))))) (forall @t99 (=> @t344 (=> @t359 (=> (tptp.in @t358 tptp.omega) (forall @t326 (=> (tptp.element @t323 (tptp.powerset (tptp.powerset @t358))) (not (and (not (= @t323 tptp.empty_set)) (forall @t325 (not (and @t324 (forall @t320 (=> (and (tptp.in @t317 @t323) (tptp.subset @t322 @t317)) (= @t317 @t322)))))))))))))) (forall @t99 (=> @t344 (=> (and (tptp.being_limit_ordinal @t75) (forall @t319 (=> (tptp.ordinal @t316) (=> (tptp.in @t316 @t75) (=> (tptp.in @t316 tptp.omega) (forall @t357 (=> (tptp.element @t353 (tptp.powerset (tptp.powerset @t316))) (not (and (not (= @t353 tptp.empty_set)) (forall @t356 (not (and @t355 (forall @t354 (=> (and (tptp.in @t352 @t353) (tptp.subset @t351 @t352)) (= @t352 @t351))))))))))))))) (or (= @t75 tptp.empty_set) (=> @t343 (forall @t350 (=> (tptp.element @t347 @t341) (not (and (not (= @t347 tptp.empty_set)) (forall @t349 (not (and (tptp.in @t345 @t347) (forall @t348 (=> (and (tptp.in @t346 @t347) (tptp.subset @t345 @t346)) (= @t346 @t345)))))))))))))))) (forall @t99 (=> @t344 (=> @t343 (forall @t342 (=> (tptp.element @t340 @t341) (not (and (not (= @t340 tptp.empty_set)) (forall (@list @t338) (not (and (tptp.in @t338 @t340) (forall (@list @t339) (=> (and (tptp.in @t339 @t340) (tptp.subset @t338 @t339)) (= @t339 @t338))))))))))))))) % 251.93/252.22 (assume @p288 (forall @t45 (=> @t365 (exists @t99 (and @t364 (forall @t189 (= (tptp.in @t187 @t75) (and @t103 @t363 (tptp.in (tptp.ordered_pair @t230 @t362) @t2))))))))) % 251.93/252.22 (assume @p289 (forall @t6 (=> @t333 (=> @t332 (exists @t105 (forall @t99 (= @t98 (exists @t97 (and @t103 @t103 (exists @t320 (and (= @t87 @t317) @t367 @t366))))))))))) % 251.93/252.22 (assume @p290 (forall @t6 (=> @t333 (forall @t105 (=> (forall @t378 (=> (and @t321 (exists @t377 (and (= @t376 @t87) @t375 (exists @t325 (and (= @t328 @t322) (tptp.in @t323 @t322) (forall @t320 (=> @t374 (tptp.in (tptp.ordered_pair @t323 @t317) @t2))))))) @t373 (exists @t372 (and (= @t371 @t186) (tptp.in @t316 @t1) (exists @t356 (and (= @t316 @t351) (tptp.in @t353 @t351) (forall @t354 (=> (tptp.in @t352 @t351) (tptp.in (tptp.ordered_pair @t353 @t352) @t2)))))))) @t370)) (exists @t99 (forall @t97 (= @t137 (exists @t237 (and (tptp.in @t186 @t369) @t368 (exists (@list @t347 @t345) (and (= (tptp.ordered_pair @t347 @t345) @t87) (tptp.in @t347 @t1) (exists @t348 (and (= @t347 @t346) (tptp.in @t345 @t346) (forall @t342 (=> (tptp.in @t340 @t346) (tptp.in (tptp.ordered_pair @t345 @t340) @t2))))))))))))))))) % 251.93/252.22 (assume @p291 (forall @t13 (=> @t336 (exists @t11 (forall @t105 (= @t165 (exists @t99 (and @t170 @t170 (= @t41 (tptp.singleton @t75)))))))))) % 251.93/252.22 (assume @p292 (forall @t6 (=> (forall @t239 (=> (and @t76 (exists @t383 (and (= @t382 @t75) @t363 (= @t328 (tptp.singleton @t186)))) @t381 (exists (@list @t323 @t322) (and (= (tptp.ordered_pair @t323 @t322) @t87) @t380 (= @t322 (tptp.singleton @t323))))) @t321)) (exists @t105 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t87 @t43) @t379 (exists (@list @t317 @t316) (and (= (tptp.ordered_pair @t317 @t316) @t75) (tptp.in @t317 @t1) (= @t316 (tptp.singleton @t317)))))))))))) % 251.93/252.22 (assume @p293 (forall @t13 (=> @t32 (=> (forall @t145 (=> (and @t155 (exists @t97 (and @t386 @t381 (=> (tptp.in @t87 tptp.omega) (forall @t237 (=> (tptp.element @t186 (tptp.powerset (tptp.powerset @t87))) @t385))))) @t178 (exists @t325 (and (tptp.ordinal @t322) (= @t75 @t322) (=> (tptp.in @t322 tptp.omega) (forall @t320 (=> (tptp.element @t317 (tptp.powerset (tptp.powerset @t322))) (not (and (not (= @t317 tptp.empty_set)) (forall @t319 (not (and @t318 (forall @t357 (=> (and (tptp.in @t353 @t317) (tptp.subset @t316 @t353)) (= @t353 @t316)))))))))))))) @t76)) (exists @t11 (forall @t105 (= @t165 (exists @t99 (and (tptp.in @t75 @t159) @t384 (exists @t356 (and (tptp.ordinal @t351) (= @t41 @t351) (=> (tptp.in @t351 tptp.omega) (forall @t354 (=> (tptp.element @t352 (tptp.powerset (tptp.powerset @t351))) (not (and (not (= @t352 tptp.empty_set)) (forall @t350 (not (and (tptp.in @t347 @t352) (forall @t349 (=> (and (tptp.in @t345 @t352) (tptp.subset @t347 @t345)) (= @t345 @t347)))))))))))))))))))))) % 251.93/252.22 (assume @p294 (forall @t6 (=> @t389 (=> (forall @t239 (=> (and @t76 (exists @t237 (and (tptp.element @t186 @t115) (= @t186 @t75) (tptp.closed_subset @t186 @t1) @t387)) @t381 (exists @t330 (and (tptp.element @t328 @t115) (= @t328 @t87) (tptp.closed_subset @t328 @t1) (tptp.subset @t2 @t87)))) @t321)) (exists @t105 (forall @t99 (= @t98 (exists @t97 (and @t388 @t379 (exists @t326 (and (tptp.element @t323 @t115) (= @t323 @t75) (tptp.closed_subset @t323 @t1) @t387))))))))))) % 251.93/252.22 (assume @p295 (forall @t6 (=> @t391 (=> (forall @t239 (=> (and @t76 @t390 @t381 (tptp.in (tptp.set_difference @t194 @t87) @t2)) @t321)) (exists @t105 (forall @t99 (= @t98 (exists @t97 (and @t388 @t379 @t390))))))))) % 251.93/252.22 (assume @p296 (forall @t6 (=> @t392 (=> (forall @t239 (=> (and @t76 (exists @t237 (and @t188 (= @t75 (tptp.set_difference @t186 @t158)))) @t381 (exists @t330 (and (tptp.in @t328 @t2) (= @t87 (tptp.set_difference @t328 @t158))))) @t321)) (exists @t105 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t87 @t24) @t379 (exists @t326 (and (tptp.in @t323 @t2) (= @t75 (tptp.set_difference @t323 @t158))))))))))))) % 251.93/252.22 (assume @p297 (forall @t45 (=> @t365 (=> (forall @t378 (=> (and @t321 (exists @t377 (and (= @t87 @t376) (tptp.in (tptp.ordered_pair @t394 (tptp.apply @t41 @t323)) @t2))) @t373 (exists (@list @t322 @t317) (and (= @t186 (tptp.ordered_pair @t322 @t317)) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t322) (tptp.apply @t41 @t317)) @t2)))) @t370)) (exists @t99 (forall @t97 (= @t137 (exists @t237 (and (tptp.in @t186 @t393) @t368 (exists @t372 (and (= @t87 @t371) (tptp.in (tptp.ordered_pair (tptp.apply @t41 @t316) (tptp.apply @t41 @t353)) @t2)))))))))))) % 251.93/252.22 (assume @p298 (forall @t13 (=> (forall @t145 (=> (and @t155 @t337 @t178 @t344) @t76)) (exists @t11 (forall @t105 (= @t165 (exists @t99 (and @t170 @t384 @t337)))))))) % 251.93/252.22 (assume @p299 (forall @t45 (=> @t397 (=> (forall @t378 (=> (and @t321 @t395 @t373 (tptp.in (tptp.relation_image @t41 @t186) @t2)) @t370)) (exists @t99 (forall @t97 (= @t137 (exists @t237 (and (tptp.in @t186 @t396) @t368 @t395))))))))) % 251.93/252.22 (assume @p300 (forall @t6 (=> @t29 (=> (forall @t239 (=> (and @t76 (exists @t237 (and (tptp.ordinal @t186) @t373 @t363)) @t381 (exists @t330 (and (tptp.ordinal @t328) (= @t87 @t328) @t375))) @t321)) (exists @t105 (forall @t99 (= @t98 (exists @t97 (and (tptp.in @t87 @t398) @t379 (exists @t326 (and (tptp.ordinal @t323) (= @t75 @t323) @t380))))))))))) % 251.93/252.22 (assume @p301 (forall @t6 (=> @t333 (forall @t105 (exists @t99 (forall @t97 (= @t137 (and (tptp.in @t87 @t369) (exists @t383 (and (= @t382 @t87) @t363 (exists @t326 (and (= @t186 @t323) (tptp.in @t328 @t323) (forall @t325 (=> @t324 (tptp.in (tptp.ordered_pair @t328 @t322) @t2))))))))))))))) % 251.93/252.22 (assume @p302 (forall @t6 (exists @t105 (forall @t99 (= @t98 (and (tptp.in @t75 @t43) (exists @t189 (and (= @t187 @t75) @t103 (= @t186 (tptp.singleton @t87)))))))))) % 251.93/252.22 (assume @p303 (forall @t13 (=> @t32 (exists @t11 (forall @t105 (= @t165 (and (tptp.in @t41 @t159) (exists @t99 (and @t344 @t76 @t359))))))))) % 251.93/252.22 (assume @p304 (forall @t6 (=> @t389 (exists @t105 (forall @t99 (= @t98 (and @t400 @t399))))))) % 251.93/252.22 (assume @p305 (forall @t6 (=> @t391 (exists @t105 (forall @t99 (= @t98 (and @t400 @t390))))))) % 251.93/252.22 (assume @p306 (forall @t6 (=> @t392 (exists @t105 (forall @t99 (= @t98 (and (tptp.in @t75 @t24) (exists @t97 (and @t95 (= @t75 (tptp.set_difference @t87 @t158))))))))))) % 251.93/252.22 (assume @p307 (forall @t45 (=> @t365 (exists @t99 (forall @t97 (= @t137 (and (tptp.in @t87 @t393) (exists @t383 (and (= @t87 @t382) (tptp.in (tptp.ordered_pair @t362 @t394) @t2)))))))))) % 251.93/252.22 (assume @p308 (forall @t13 (exists @t11 (forall @t105 (= @t165 (and @t77 @t337)))))) % 251.93/252.22 (assume @p309 (forall @t45 (=> @t397 (exists @t99 (forall @t97 (= @t137 (and (tptp.in @t87 @t396) @t395))))))) % 251.93/252.22 (assume @p310 (forall @t6 (=> @t29 (exists @t105 (forall @t99 (= @t98 (and (tptp.in @t75 @t398) (exists @t97 (and @t386 @t321 @t103))))))))) % 251.93/252.22 (assume @p311 (forall @t6 (=> @t333 (=> (and (forall @t239 (=> (and @t77 @t331 @t327) @t321)) (forall @t105 (not (and @t77 (forall @t99 (not (exists @t320 (and (= @t41 @t317) @t367 @t366)))))))) (exists @t105 (and @t42 @t214 @t212 (forall @t99 (=> @t170 (exists @t357 (and (= @t75 @t353) (tptp.in @t231 @t353) (forall @t356 (=> @t355 (tptp.in (tptp.ordered_pair @t231 @t351) @t2))))))))))))) % 251.93/252.22 (assume @p312 (forall @t13 (=> (and (forall @t145 (=> (and @t3 @t335 @t334) @t76)) (forall @t11 (not (and @t3 (forall @t105 (not @t335)))))) @t403))) % 251.93/252.22 (assume @p313 (=> (forall @t13 (=> @t32 (=> (forall @t11 (=> @t29 (=> @t3 (=> (tptp.in @t2 tptp.omega) (forall @t105 (=> (tptp.element @t41 (tptp.powerset @t253)) (not (and @t198 (forall @t99 (not (and @t98 (forall @t97 (=> (and (tptp.in @t87 @t41) (tptp.subset @t75 @t87)) @t379))))))))))))) (=> @t404 (forall @t237 (=> (tptp.element @t186 @t241) @t385)))))) (forall @t13 (=> @t32 (=> @t404 (forall @t325 (=> (tptp.element @t322 @t241) (not (and (not (= @t322 tptp.empty_set)) (forall @t320 (not (and @t374 (forall @t319 (=> (and (tptp.in @t316 @t322) (tptp.subset @t317 @t316)) (= @t316 @t317))))))))))))))) % 251.93/252.22 (assume @p314 (forall @t13 @t403)) % 251.93/252.22 (assume @p315 (forall @t6 (=> @t389 (exists @t105 (and @t406 (forall @t99 (=> @t405 (= @t98 @t399)))))))) % 251.93/252.22 (assume @p316 (forall @t6 (=> @t391 (exists @t105 (and @t406 (forall @t99 (=> @t405 (= @t98 @t390)))))))) % 251.93/252.22 (assume @p317 (forall @t6 (=> @t234 (tptp.disjoint @t2 @t1)))) % 251.93/252.22 (assume @p318 (forall @t6 (=> @t215 (tptp.equipotent @t2 @t1)))) % 251.93/252.22 (assume @p319 (forall @t13 (tptp.in @t1 @t159))) % 251.93/252.22 (assume @p320 (forall @t138 (not (and (= @t53 (tptp.unordered_pair @t41 @t75)) (not @t407) (not (= @t1 @t75)))))) % 251.93/252.22 (assume @p321 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t41))) (and @t5 (tptp.in @t1 @t210)))))) % 251.93/252.22 (assume @p322 (forall @t6 (=> @t83 (tptp.subset @t408 @t1)))) % 251.93/252.22 (assume @p323 (forall @t6 (=> @t83 (tptp.subset @t104 @t2)))) % 251.93/252.22 (assume @p324 (forall @t6 (=> @t83 (tptp.subset @t408 @t140)))) % 251.93/252.22 (assume @p325 (forall @t45 (=> @t85 (and (tptp.subset @t369 (tptp.cartesian_product2 @t2 @t41)) (tptp.subset (tptp.cartesian_product2 @t41 @t1) (tptp.cartesian_product2 @t41 @t2)))))) % 251.93/252.22 (assume @p326 (forall @t6 (=> @t83 (= @t408 (tptp.set_intersection2 @t140 @t1))))) % 251.93/252.22 (assume @p327 (forall @t138 (=> (and @t85 @t173) (tptp.subset @t369 (tptp.cartesian_product2 @t2 @t75))))) % 251.93/252.22 (assume @p328 (forall @t45 (=> @t151 (and (tptp.subset @t211 @t1) (tptp.subset @t210 @t2))))) % 251.93/252.22 (assume @p329 (forall @t6 (=> @t85 (= @t55 @t2)))) % 251.93/252.22 (assume @p330 (forall @t13 (exists @t11 (and @t5 @t411 (forall @t105 (=> @t165 (tptp.in @t410 @t2))) @t409)))) % 251.93/252.22 (assume @p331 (forall @t6 (=> (and @t85 @t48) @t33))) % 251.93/252.22 (assume @p332 (forall @t45 (=> @t42 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t41) @t2) (tptp.relation_rng_restriction @t1 @t412))))) % 251.93/252.22 (assume @p333 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_image @t41 @t2)) (exists @t99 (and (tptp.in @t75 @t211) (tptp.in (tptp.ordered_pair @t75 @t1) @t41) @t90)))))) % 251.93/252.22 (assume @p334 (forall @t6 (=> @t83 (tptp.subset @t413 @t140)))) % 251.93/252.22 (assume @p335 (forall @t6 (=> @t292 (tptp.subset @t415 @t1)))) % 251.93/252.22 (assume @p336 (forall @t6 (=> @t83 (= @t413 (tptp.relation_image @t2 @t416))))) % 251.93/252.22 (assume @p337 (forall @t6 (=> @t83 (=> (tptp.subset @t1 @t139) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t413)))))) % 251.93/252.22 (assume @p338 (forall @t13 (=> @t40 (= (tptp.relation_image @t1 @t96) @t218)))) % 251.93/252.22 (assume @p339 (forall @t6 (=> @t292 (=> @t417 (= @t415 @t1))))) % 251.93/252.22 (assume @p340 (forall @t138 (=> @t420 (=> (tptp.subset @t419 @t2) @t418)))) % 251.93/252.22 (assume @p341 (forall @t13 (=> @t180 (forall @t11 (=> @t128 (= (tptp.subset_intersection2 @t57 @t2 @t194) @t2)))))) % 251.93/252.22 (assume @p342 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (= @t421 (tptp.relation_image @t2 @t218))))))) % 251.93/252.22 (assume @p343 (forall @t45 (=> @t42 (= (tptp.in @t1 @t422) (exists @t99 (and (tptp.in @t75 @t210) (tptp.in (tptp.ordered_pair @t1 @t75) @t41) @t90)))))) % 251.93/252.22 (assume @p344 (forall @t6 (=> @t83 (tptp.subset @t414 @t139)))) % 251.93/252.22 (assume @p345 (forall @t138 (=> @t420 (=> @t85 @t418)))) % 251.93/252.22 (assume @p346 (forall @t45 (=> @t42 (= (tptp.in @t1 @t423) (and @t309 (tptp.in @t1 @t227)))))) % 251.93/252.22 (assume @p347 (forall @t6 (=> @t83 (not (and @t171 @t417 (= @t414 tptp.empty_set)))))) % 251.93/252.22 (assume @p348 (forall @t45 (=> @t42 (=> @t85 (tptp.subset (tptp.relation_inverse_image @t41 @t1) @t422))))) % 251.93/252.22 (assume @p349 (forall @t6 (=> @t292 (=> @t33 (tptp.finite @t413))))) % 251.93/252.22 (assume @p350 (forall @t13 (=> @t180 (forall @t11 (=> @t128 (= (tptp.subset_complement @t57 @t2) @t225)))))) % 251.93/252.22 (assume @p351 (forall @t6 (=> @t83 (= @t424 (tptp.relation_dom_restriction @t104 @t1))))) % 251.93/252.22 (assume @p352 (forall @t6 (tptp.subset @t65 @t1))) % 251.93/252.22 (assume @p353 (forall @t13 (=> @t33 (forall @t11 (=> @t242 (not (and @t184 (forall @t105 (not (and @t165 (forall @t99 (=> (and @t90 @t173) @t384)))))))))))) % 251.93/252.22 (assume @p354 (forall @t6 (=> @t83 (= @t424 (tptp.relation_rng_restriction @t1 @t425))))) % 251.93/252.22 (assume @p355 (forall @t45 (=> @t42 (=> (tptp.in @t1 (tptp.relation_field @t423)) (and @t427 @t5))))) % 251.93/252.22 (assume @p356 (forall @t45 (=> (and @t85 @t428) (tptp.subset @t1 @t314)))) % 251.93/252.22 (assume @p357 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 251.93/252.22 (assume @p358 (forall @t6 (=> @t5 @t429))) % 251.93/252.22 (assume @p359 (forall @t45 (=> (and @t85 @t360) @t428))) % 251.93/252.22 (assume @p360 (= @t361 (tptp.singleton tptp.empty_set))) % 251.93/252.22 (assume @p361 (forall @t45 (=> @t42 (=> @t431 (and @t430 (tptp.in @t2 @t210)))))) % 251.93/252.22 (assume @p362 (forall @t6 (=> @t83 (and (tptp.subset @t432 @t174) (tptp.subset @t432 @t1))))) % 251.93/252.22 (assume @p363 (forall @t6 (=> @t292 (forall @t105 (=> @t233 (= @t435 (and @t430 (tptp.in @t433 @t139)))))))) % 251.93/252.22 (assume @p364 (forall @t138 (=> @t437 (forall @t97 (=> (and (tptp.relation @t87) (tptp.function @t87)) (=> @t77 (or @t149 (= (tptp.apply (tptp.relation_composition @t75 @t87) @t41) (tptp.apply @t87 @t436))))))))) % 251.93/252.22 (assume @p365 (forall @t13 (=> @t38 (forall @t11 (=> @t29 (=> @t8 @t5)))))) % 251.93/252.22 (assume @p366 (forall @t13 (=> @t40 (tptp.subset @t1 (tptp.cartesian_product2 @t96 @t218))))) % 251.93/252.22 (assume @p367 (forall @t45 (=> @t42 (tptp.subset (tptp.fiber (tptp.relation_restriction @t41 @t1) @t2) (tptp.fiber @t41 @t2))))) % 251.93/252.22 (assume @p368 (forall @t6 (=> @t292 (forall @t105 (=> @t233 (=> @t435 (= (tptp.apply @t434 @t1) (tptp.apply @t2 @t433)))))))) % 251.93/252.22 (assume @p369 (forall @t13 (=> @t180 (forall @t11 (=> @t128 (= (tptp.subset_difference @t57 @t194 @t225) @t2)))))) % 251.93/252.22 (assume @p370 (forall @t45 (=> (tptp.relation_of2_as_subset @t41 @t2 @t1) (= (forall @t99 (not (and @t90 (forall @t97 (not @t91))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t41) @t2))))) % 251.93/252.22 (assume @p371 (forall @t6 (=> @t83 (=> @t438 (tptp.reflexive @t424))))) % 251.93/252.22 (assume @p372 (forall @t6 (=> @t292 (forall @t105 (=> @t233 (=> (tptp.in @t1 @t139) (= (tptp.apply (tptp.relation_composition @t2 @t41) @t1) (tptp.apply @t41 (tptp.apply @t2 @t1))))))))) % 251.93/252.22 (assume @p373 (forall @t13 (=> (and @t62 @t68 @t235 @t236) (forall @t11 (=> @t59 (forall @t105 (=> @t58 (tptp.below @t1 @t66 @t2)))))))) % 251.93/252.22 (assume @p374 (forall @t6 (=> @t29 (=> @t5 @t32)))) % 251.93/252.22 (assume @p375 (forall @t45 (=> @t151 (= (forall @t99 (not (and @t90 (forall @t97 (not (tptp.in @t134 @t41)))))) (= @t254 @t2))))) % 251.93/252.22 (assume @p376 (forall @t6 (=> @t83 (=> @t439 (tptp.connected @t424))))) % 251.93/252.22 (assume @p377 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (not (and @t299 @t243 @t4))))))) % 251.93/252.22 (assume @p378 (forall @t6 (=> @t83 (=> @t440 (tptp.transitive @t424))))) % 251.93/252.22 (assume @p379 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (=> @t85 (and (tptp.subset @t96 @t139) (tptp.subset @t218 @t140)))))))) % 251.93/252.22 (assume @p380 (forall @t6 (=> @t83 (=> @t441 (tptp.antisymmetric @t424))))) % 251.93/252.22 (assume @p381 (forall @t6 (=> @t83 (=> @t444 (and @t443 @t442))))) % 251.93/252.22 (assume @p382 (forall @t13 (=> @t102 (=> (tptp.finite @t96) (tptp.finite @t218))))) % 251.93/252.22 (assume @p383 (forall @t13 (=> (and @t62 @t61 @t60) (forall @t11 (=> @t59 (forall @t105 (=> @t58 (=> (and @t190 (tptp.below @t1 @t41 @t2)) @t155)))))))) % 251.93/252.22 (assume @p384 (forall @t13 (exists @t11 (and @t83 @t444)))) % 251.93/252.22 (assume @p385 (forall @t45 (=> @t85 (tptp.subset (tptp.set_intersection2 @t1 @t41) @t314)))) % 251.93/252.22 (assume @p386 (forall @t13 (=> @t183 (not (and (forall @t11 (not (and @t3 @t149))) (forall @t11 (=> @t292 (not (and @t402 (forall @t105 (=> @t77 (tptp.in @t401 @t41)))))))))))) % 251.93/252.22 (assume @p387 (forall @t6 (=> @t85 (= @t65 @t1)))) % 251.93/252.22 (assume @p388 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 251.93/252.22 (assume @p389 (forall @t6 (=> @t429 (or @t182 @t5)))) % 251.93/252.22 (assume @p390 (forall @t6 (=> (forall @t105 (= @t77 @t165)) @t86))) % 251.93/252.22 (assume @p391 (forall @t13 (tptp.reflexive @t175))) % 251.93/252.22 (assume @p392 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 251.93/252.22 (assume @p393 (forall @t45 (=> @t42 (=> @t431 (and @t427 (tptp.in @t2 @t426)))))) % 251.93/252.22 (assume @p394 (forall @t13 (=> (forall @t11 (=> @t3 (and @t29 @t84))) @t32))) % 251.93/252.22 (assume @p395 (forall @t6 (=> @t83 (=> @t445 (tptp.well_founded_relation @t424))))) % 251.93/252.22 (assume @p396 (forall @t6 (=> @t29 (not (and @t85 @t171 (forall @t105 (=> @t337 (not (and @t77 (forall @t99 (=> @t344 (=> @t170 (tptp.ordinal_subset @t41 @t75))))))))))))) % 251.93/252.22 (assume @p397 (forall @t6 (=> @t83 (=> @t300 @t442)))) % 251.93/252.22 (assume @p398 (forall @t13 (=> @t32 (forall @t11 (=> @t29 (= @t5 (tptp.ordinal_subset @t159 @t2))))))) % 251.93/252.22 (assume @p399 (forall @t45 (=> @t85 (tptp.subset (tptp.set_difference @t1 @t41) @t315)))) % 251.93/252.22 (assume @p400 (forall @t138 (=> (= @t222 @t78) (and @t407 @t178)))) % 251.93/252.22 (assume @p401 (forall @t6 (=> @t292 (= @t82 (and @t402 (forall @t105 (=> @t77 (= @t401 @t41)))))))) % 251.93/252.22 (assume @p402 (forall @t6 (=> @t3 (= (tptp.apply @t81 @t2) @t2)))) % 251.93/252.22 (assume @p403 (forall @t6 (tptp.subset @t216 @t1))) % 251.93/252.22 (assume @p404 (forall @t13 (=> @t40 (and (= @t218 (tptp.relation_dom @t229)) (= @t96 (tptp.relation_rng @t229)))))) % 251.93/252.22 (assume @p405 (forall @t45 (= (tptp.subset @t53 @t41) (and @t309 @t193)))) % 251.93/252.22 (assume @p406 (forall @t6 (=> @t83 (=> (and @t300 (tptp.subset @t1 @t174)) @t443)))) % 251.93/252.22 (assume @p407 (forall @t6 (= @t446 @t55))) % 251.93/252.22 (assume @p408 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 251.93/252.22 (assume @p409 (forall @t45 (not (and @t5 @t193 @t77)))) % 251.93/252.22 (assume @p410 (forall @t6 (= @t310 @t85))) % 251.93/252.22 (assume @p411 (forall @t13 (tptp.transitive @t175))) % 251.93/252.22 (assume @p412 @t456) % 251.93/252.22 (assume @p413 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t148))) % 251.93/252.22 (assume @p414 (forall @t6 (= (tptp.set_difference @t55 @t2) @t216))) % 251.93/252.22 (assume @p415 (forall @t13 (=> @t32 (= @t220 (forall @t11 (=> @t29 (=> @t3 (tptp.in @t398 @t1)))))))) % 251.93/252.22 (assume @p416 (forall @t13 (=> @t32 (and (not (and (not @t220) (forall @t11 (=> @t29 (not @t457))))) (not (and (exists @t11 (and @t29 @t457)) @t220)))))) % 251.93/252.22 (assume @p417 (forall @t6 (=> @t25 (forall @t105 (=> @t71 (= @t459 (tptp.subset @t2 @t458))))))) % 251.93/252.22 (assume @p418 (forall @t13 (=> @t293 (forall @t11 (=> @t163 (=> (forall @t105 (=> @t125 (=> @t165 (tptp.closed_subset @t41 @t1)))) (tptp.closed_subset (tptp.meet_of_subsets @t57 @t2) @t1))))))) % 251.93/252.22 (assume @p419 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (tptp.subset @t460 @t96)))))) % 251.93/252.22 (assume @p420 (forall @t13 (=> @t131 (forall @t11 (=> @t128 (forall @t105 (=> (tptp.in @t41 @t57) (= (tptp.in @t41 @t122) (forall @t99 (=> @t405 (=> @t461 @t169))))))))))) % 251.93/252.22 (assume @p421 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (tptp.subset @t421 @t140)))))) % 251.93/252.22 (assume @p422 (forall @t6 (=> @t85 (= @t2 @t446)))) % 251.93/252.22 (assume @p423 (forall @t138 (=> @t437 (=> @t184 (forall @t97 (= (tptp.in @t87 (tptp.relation_inverse_image @t75 @t41)) (and @t103 (tptp.in (tptp.apply @t75 @t87) @t41)))))))) % 251.93/252.22 (assume @p424 (forall @t13 (=> @t293 (forall @t11 (=> @t128 (exists @t105 (and @t406 (forall @t99 (=> @t405 (= @t98 @t461))) (= @t122 (tptp.meet_of_subsets @t57 @t41))))))))) % 251.93/252.22 (assume @p425 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (=> (tptp.subset @t218 @t139) (= @t460 @t96))))))) % 251.93/252.22 (assume @p426 (forall @t6 (=> @t242 (not (and @t184 (= @t240 tptp.empty_set)))))) % 251.93/252.22 (assume @p427 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (=> (tptp.subset @t96 @t140) (= (tptp.relation_rng @t266) @t218))))))) % 251.93/252.22 (assume @p428 (forall @t6 (=> @t242 (=> @t184 (= (tptp.subset_difference @t1 @t206 @t255) (tptp.meet_of_subsets @t1 @t240)))))) % 251.93/252.22 (assume @p429 @t466) % 251.93/252.22 (assume @p430 (forall @t6 (=> @t242 (=> @t184 (= (tptp.union_of_subsets @t1 @t240) (tptp.subset_difference @t1 @t206 @t260)))))) % 251.93/252.22 (assume @p431 (forall @t6 (= (tptp.set_difference @t1 @t216) @t65))) % 251.93/252.22 (assume @p432 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t233 (=> @t232 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t41)))))))))) % 251.93/252.22 (assume @p433 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 251.93/252.22 (assume @p434 (forall @t45 (=> (and @t5 @t467) (tptp.element @t1 @t41)))) % 251.93/252.22 (assume @p435 (forall @t13 (=> @t32 (tptp.connected @t175)))) % 251.93/252.22 (assume @p436 (forall @t6 (and (not (and @t452 (forall @t105 (not @t468)))) (not (and (exists @t105 @t468) @t234))))) % 251.93/252.22 (assume @p437 (forall @t13 (=> @t171 (forall @t11 (=> @t25 (forall @t105 (=> (tptp.element @t41 @t1) (=> @t191 (tptp.in @t41 @t221))))))))) % 251.93/252.22 (assume @p438 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t233 (=> @t232 (and (=> @t208 @t438) (=> @t136 @t440) (=> @t135 @t439) (=> @t107 @t441) (=> @t185 @t445)))))))))) % 251.93/252.22 (assume @p439 (forall @t13 (=> @t102 (=> @t49 (forall @t11 (=> @t292 (= (= @t2 @t244) (and (= @t139 @t218) (forall @t80 (and (=> @t469 @t217) (=> @t217 @t469))))))))))) % 251.93/252.22 (assume @p440 (forall @t45 (=> @t71 (not (and (tptp.in @t2 @t458) @t193))))) % 251.93/252.22 (assume @p441 (forall @t13 (=> @t40 (forall @t11 (=> @t83 (forall @t105 (=> @t233 (=> (and @t209 @t232) @t300)))))))) % 251.93/252.22 (assume @p442 (forall @t13 (=> @t102 (=> @t49 (and (= @t218 (tptp.relation_dom @t244)) (= @t96 (tptp.relation_rng @t244))))))) % 251.93/252.22 (assume @p443 (forall @t13 (=> @t40 (=> (forall @t94 @t306) @t148)))) % 251.93/252.22 (assume @p444 (forall @t6 (=> @t292 (=> (and @t313 (tptp.in @t1 @t140)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t470 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t470 @t2) @t1))))))) % 251.93/252.22 (assume @p445 (forall @t45 (not (and @t5 @t467 (tptp.empty @t41))))) % 251.93/252.22 (assume @p446 (forall @t13 (=> @t40 (= @t185 (tptp.is_well_founded_in @t1 @t106))))) % 251.93/252.22 (assume @p447 (forall @t13 (tptp.antisymmetric @t175))) % 251.93/252.22 (assume @p448 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 251.93/252.22 (assume @p449 (forall @t6 (not (and @t85 @t7)))) % 251.93/252.22 (assume @p450 (forall @t13 (=> @t102 (=> @t49 (tptp.one_to_one @t244))))) % 251.93/252.22 (assume @p451 (forall @t45 (=> (and @t85 @t459) (tptp.disjoint @t1 @t41)))) % 251.93/252.22 (assume @p452 (forall @t13 (=> @t40 (=> (or @t472 @t471) @t148)))) % 251.93/252.22 (assume @p453 (forall @t13 (=> @t40 (= @t472 @t471)))) % 251.93/252.22 (assume @p454 (forall @t6 (= (= (tptp.set_difference @t1 @t307) @t1) @t4))) % 251.93/252.22 (assume @p455 (forall @t6 (=> @t292 (forall @t105 (=> @t233 (= (= @t2 @t311) (and (= @t139 (tptp.set_intersection2 @t211 @t1)) (forall @t99 (=> (tptp.in @t75 @t139) (= (tptp.apply @t2 @t75) @t231)))))))))) % 251.93/252.22 (assume @p456 (forall @t13 (= (tptp.unordered_pair @t1 @t1) @t158))) % 251.93/252.22 (assume @p457 (forall @t13 (=> @t22 @t148))) % 251.93/252.22 (assume @p458 (forall @t138 (=> @t437 (=> @t77 (or @t149 (tptp.in @t436 @t419)))))) % 251.93/252.22 (assume @p459 (forall @t13 (=> @t32 (tptp.well_founded_relation @t175)))) % 251.93/252.22 (assume @p460 (forall @t6 (=> (tptp.subset @t158 @t307) @t86))) % 251.93/252.22 (assume @p461 (forall @t45 (=> @t233 (=> @t312 @t473)))) % 251.93/252.22 (assume @p462 (forall @t13 (and (= (tptp.relation_dom @t81) @t1) (= (tptp.relation_rng @t81) @t1)))) % 251.93/252.22 (assume @p463 (forall @t45 (=> @t233 (=> @t3 @t473)))) % 251.93/252.22 (assume @p464 (forall @t138 (=> @t364 (= (tptp.in @t222 (tptp.relation_composition (tptp.identity_relation @t41) @t75)) (and @t309 (tptp.in @t222 @t75)))))) % 251.93/252.22 (assume @p465 (forall @t6 (not (and @t5 @t182)))) % 251.93/252.22 (assume @p466 (forall @t6 (and (= (tptp.pair_first @t222) @t1) (= (tptp.pair_second @t222) @t2)))) % 251.93/252.22 (assume @p467 (forall @t6 (not (and @t5 (forall @t105 (not (and @t165 (forall @t99 (not (and @t90 @t98)))))))))) % 251.93/252.22 (assume @p468 (forall @t13 (=> @t32 (tptp.well_ordering @t175)))) % 251.93/252.22 (assume @p469 (forall @t6 (tptp.subset @t1 @t55))) % 251.93/252.22 (assume @p470 (forall @t6 (= @t234 (= @t216 @t1)))) % 251.93/252.22 (assume @p471 (forall @t45 (=> @t42 (= (tptp.in @t1 (tptp.relation_dom @t412)) (and @t5 @t430))))) % 251.93/252.22 (assume @p472 (forall @t6 (=> @t83 (tptp.subset @t425 @t2)))) % 251.93/252.22 (assume @p473 (forall @t6 (not (and @t22 @t243 @t182)))) % 251.93/252.22 (assume @p474 (forall @t45 (=> @t233 (= @t431 (and @t430 (= @t2 @t433)))))) % 251.93/252.22 (assume @p475 (forall @t13 (=> @t40 (= (tptp.well_orders @t1 @t106) @t209)))) % 251.93/252.22 (assume @p476 (forall @t45 (=> (and @t85 @t199) (tptp.subset (tptp.set_union2 @t1 @t41) @t2)))) % 251.93/252.22 (assume @p477 (forall @t45 (=> @t474 @t86))) % 251.93/252.22 (assume @p478 (forall @t6 (=> @t83 (= (tptp.relation_dom @t425) @t416)))) % 251.93/252.22 (assume @p479 (forall @t6 (=> @t83 (= @t425 (tptp.relation_composition @t81 @t2))))) % 251.93/252.22 (assume @p480 (forall @t6 (=> @t83 (tptp.subset (tptp.relation_rng @t425) @t140)))) % 251.93/252.22 (assume @p481 (forall @t13 (= (tptp.union @t24) @t1))) % 251.93/252.22 (assume @p482 (forall @t138 (=> @t437 (=> @t360 (or (and @t149 @t171) (and @t246 (tptp.quasi_total @t75 @t1 @t41) (tptp.relation_of2_as_subset @t75 @t1 @t41))))))) % 251.93/252.22 (assume @p483 (forall @t13 (exists @t11 (and @t5 @t411 (forall @t105 (not (and @t165 (forall @t99 (not (and @t90 (forall @t97 (=> (tptp.subset @t87 @t41) @t137)))))))) @t409)))) % 251.93/252.22 (assume @p484 (forall @t45 (=> @t474 @t155))) % 251.93/252.22 (step @p485 :rule aci_norm :args ((= @t483 @t481))) % 251.93/252.22 (step @p486 :rule cong :premises (@p485) :args (@t485)) % 251.93/252.22 (step @p487 :rule quant-merge-prenex :args ((= (forall @t488 @t487) @t485))) % 251.93/252.22 (step @p488 :rule refl :args (@t480)) % 251.93/252.22 (step @p489 :rule alpha_equiv :args (@t489 (@list @t476) @t490)) % 251.93/252.22 (step @p490 :rule nary_cong :premises (@p489 @p488) :args (@t491)) % 251.93/252.22 (step @p491 :rule quant-miniscope-or :args ((= @t487 @t491))) % 251.93/252.22 (step @p492 :rule trans :premises (@p491 @p490)) % 251.93/252.22 (step @p493 :rule symm :premises (@p492)) % 251.93/252.22 (step @p494 :rule cong :premises (@p493) :args (@t492)) % 251.93/252.22 (step @p495 :rule trans :premises (@p494 @p487)) % 251.93/252.22 (step @p496 :rule trans :premises (@p495 @p486)) % 251.93/252.22 (step @p497 :rule refl :args (@t495)) % 251.93/252.22 (step @p498 :rule nary_cong :premises (@p497 @p496) :args ((and @t495 @t492))) % 251.93/252.22 (step @p499 :rule alpha_equiv :args (@t498 @t499 (@list @t478 @t475))) % 251.93/252.22 (step @p500 :rule alpha_equiv :args (@t502 @t499 (@list @t494 @t493))) % 251.93/252.22 (step @p501 :rule nary_cong :premises (@p500 @p499) :args (@t503)) % 251.93/252.22 (step @p502 :rule quant-miniscope-and :args ((= (forall @t6 (and @t501 @t497)) @t503))) % 251.93/252.22 (step @p503 :rule trans :premises (@p502 @p501)) % 251.93/252.22 (step @p504 :rule trans :premises (@p503 @p498)) % 251.93/252.22 (step @p505 :rule refl :args (@t452)) % 251.93/252.22 (step @p506 :rule bool-double-not-elim :args (@t496)) % 251.93/252.22 (step @p507 :rule nary_cong :premises (@p506 @p505) :args ((or (not @t500) @t452))) % 251.93/252.22 (step @p508 :rule bool-and-de-morgan :args (@t500 @t234 true)) % 251.93/252.22 (step @p509 :rule trans :premises (@p508 @p507)) % 251.93/252.22 (step @p510 :rule refl :args (@t500)) % 251.93/252.22 (step @p511 :rule bool-double-not-elim :args (@t234)) % 251.93/252.22 (step @p512 :rule nary_cong :premises (@p511 @p510) :args ((or (not @t452) @t500))) % 251.93/252.22 (step @p513 :rule bool-and-de-morgan :args (@t452 @t496 true)) % 251.93/252.22 (step @p514 :rule trans :premises (@p513 @p512)) % 251.93/252.22 (step @p515 :rule nary_cong :premises (@p514 @p509) :args (@t504)) % 251.93/252.22 (step @p516 :rule cong :premises (@p515) :args ((forall @t6 @t504))) % 251.93/252.22 (step @p517 :rule trans :premises (@p516 @p504)) % 251.93/252.22 (step @p518 :rule refl :args (@t234)) % 251.93/252.22 (step @p519 :rule bool-and-de-morgan :args (@t77 @t165 true)) % 251.93/252.22 (step @p520 :rule cong :premises (@p519) :args (@t451)) % 251.93/252.22 (step @p521 :rule cong :premises (@p520) :args (@t505)) % 251.93/252.22 (step @p522 :rule exists-elim :args ((= @t448 @t505))) % 251.93/252.22 (step @p523 :rule trans :premises (@p522 @p521)) % 251.93/252.22 (step @p524 :rule nary_cong :premises (@p523 @p518) :args (@t449)) % 251.93/252.22 (step @p525 :rule cong :premises (@p524) :args (@t450)) % 251.93/252.22 (step @p526 :rule refl :args (@t452)) % 251.93/252.22 (step @p527 :rule nary_cong :premises (@p526 @p520) :args (@t453)) % 251.93/252.22 (step @p528 :rule cong :premises (@p527) :args (@t454)) % 251.93/252.22 (step @p529 :rule nary_cong :premises (@p528 @p525) :args (@t455)) % 251.93/252.22 (step @p530 :rule cong :premises (@p529) :args (@t456)) % 251.93/252.22 (step @p531 :rule trans :premises (@p530 @p517)) % 251.93/252.22 (step @p532 :rule eq_resolve :premises (@p412 @p531)) % 251.93/252.22 (step @p533 :rule and_elim :premises (@p532) :args (1)) % 251.93/252.22 (step @p534 :rule eq-symm :args (@t509 @t514)) % 251.93/252.22 (step @p535 :rule refl :args (@t514)) % 251.93/252.22 (step @p536 :rule eq-symm :args (@t507 @t508)) % 251.93/252.22 (step @p537 :rule cong :premises (@p536 @p535) :args (@t515)) % 251.93/252.22 (step @p538 :rule trans :premises (@p537 @p534)) % 251.93/252.22 (step @p539 :rule refl :args (@t516)) % 251.93/252.22 (step @p540 :rule refl :args (@t517)) % 251.93/252.22 (step @p541 :rule refl :args (@t518)) % 251.93/252.22 (step @p542 :rule nary_cong :premises (@p541 @p540 @p539 @p538) :args (@t519)) % 251.93/252.22 (step @p543 :rule aci_norm :args ((= @t521 @t519))) % 251.93/252.22 (step @p544 :rule trans :premises (@p543 @p542)) % 251.93/252.22 (step @p545 :rule cong :premises (@p544) :args (@t523)) % 251.93/252.22 (step @p546 :rule quant-merge-prenex :args ((= (forall @t13 @t525) @t523))) % 251.93/252.22 (step @p547 :rule alpha_equiv :args (@t526 (@list @t506 @t508) (@list @t2 @t527))) % 251.93/252.22 (step @p548 :rule refl :args (@t518)) % 251.93/252.22 (step @p549 :rule nary_cong :premises (@p548 @p547) :args (@t528)) % 251.93/252.22 (step @p550 :rule quant-miniscope-or :args ((= @t525 @t528))) % 251.93/252.22 (step @p551 :rule trans :premises (@p550 @p549)) % 251.93/252.22 (step @p552 :rule symm :premises (@p551)) % 251.93/252.22 (step @p553 :rule cong :premises (@p552) :args ((forall @t13 (or @t518 @t536)))) % 251.93/252.22 (step @p554 :rule trans :premises (@p553 @p546)) % 251.93/252.22 (step @p555 :rule trans :premises (@p554 @p545)) % 251.93/252.22 (step @p556 :rule bool-impl-elim :args (@t131 @t536)) % 251.93/252.22 (step @p557 :rule cong :premises (@p556) :args ((forall @t13 (=> @t131 @t536)))) % 251.93/252.22 (step @p558 :rule trans :premises (@p557 @p555)) % 251.93/252.22 (step @p559 :rule eq-symm :args (@t529 @t532)) % 251.93/252.22 (step @p560 :rule refl :args (@t513)) % 251.93/252.22 (step @p561 :rule nary_cong :premises (@p560 @p559) :args (@t537)) % 251.93/252.22 (step @p562 :rule cong :premises (@p561) :args (@t538)) % 251.93/252.22 (step @p563 :rule eq-symm :args (@t527 @t122)) % 251.93/252.22 (step @p564 :rule cong :premises (@p563 @p562) :args (@t539)) % 251.93/252.22 (step @p565 :rule refl :args (@t533)) % 251.93/252.22 (step @p566 :rule refl :args (@t534)) % 251.93/252.22 (step @p567 :rule nary_cong :premises (@p566 @p565 @p564) :args (@t540)) % 251.93/252.22 (step @p568 :rule aci_norm :args ((= @t542 @t540))) % 251.93/252.22 (step @p569 :rule trans :premises (@p568 @p567)) % 251.93/252.22 (step @p570 :rule cong :premises (@p569) :args (@t543)) % 251.93/252.22 (step @p571 :rule quant-merge-prenex :args ((= (forall @t11 @t545) @t543))) % 251.93/252.22 (step @p572 :rule alpha_equiv :args (@t546 (@list @t527) @t490)) % 251.93/252.22 (step @p573 :rule refl :args (@t534)) % 251.93/252.22 (step @p574 :rule nary_cong :premises (@p573 @p572) :args (@t547)) % 251.93/252.22 (step @p575 :rule quant-miniscope-or :args ((= @t545 @t547))) % 251.93/252.22 (step @p576 :rule trans :premises (@p575 @p574)) % 251.93/252.22 (step @p577 :rule symm :premises (@p576)) % 251.93/252.22 (step @p578 :rule cong :premises (@p577) :args ((forall @t11 (or @t534 @t550)))) % 251.93/252.22 (step @p579 :rule trans :premises (@p578 @p571)) % 251.93/252.22 (step @p580 :rule trans :premises (@p579 @p570)) % 251.93/252.22 (step @p581 :rule bool-impl-elim :args (@t128 @t550)) % 251.93/252.22 (step @p582 :rule cong :premises (@p581) :args ((forall @t11 (=> @t128 @t550)))) % 251.93/252.22 (step @p583 :rule trans :premises (@p582 @p580)) % 251.93/252.22 (step @p584 :rule bool-impl-elim :args (@t125 @t549)) % 251.93/252.22 (step @p585 :rule cong :premises (@p584) :args ((forall @t105 (=> @t125 @t549)))) % 251.93/252.22 (step @p586 :rule bool-impl-elim :args (@t119 @t548)) % 251.93/252.22 (step @p587 :rule cong :premises (@p586) :args ((forall @t99 (=> @t119 @t548)))) % 251.93/252.22 (step @p588 :rule aci_norm :args ((= (or @t512 @t551) @t531))) % 251.93/252.22 (step @p589 :rule aci_norm :args ((= (or @t511 (or @t510 @t530)) @t551))) % 251.93/252.22 (step @p590 :rule bool-and-de-morgan :args (@t112 @t111 true)) % 251.93/252.22 (step @p591 :rule refl :args (@t511)) % 251.93/252.22 (step @p592 :rule nary_cong :premises (@p591 @p590) :args ((or @t511 (not (and @t112 @t111))))) % 251.93/252.22 (step @p593 :rule bool-and-de-morgan :args (@t113 @t112 (and @t111))) % 251.93/252.22 (step @p594 :rule trans :premises (@p593 @p592)) % 251.93/252.22 (step @p595 :rule trans :premises (@p594 @p589)) % 251.93/252.22 (step @p596 :rule refl :args (@t512)) % 251.93/252.22 (step @p597 :rule nary_cong :premises (@p596 @p595) :args ((or @t512 @t114))) % 251.93/252.22 (step @p598 :rule trans :premises (@p597 @p588)) % 251.93/252.22 (step @p599 :rule bool-impl-elim :args (@t116 @t114)) % 251.93/252.22 (step @p600 :rule trans :premises (@p599 @p598)) % 251.93/252.22 (step @p601 :rule cong :premises (@p600) :args (@t117)) % 251.93/252.22 (step @p602 :rule refl :args (@t98)) % 251.93/252.22 (step @p603 :rule cong :premises (@p602 @p601) :args (@t118)) % 251.93/252.22 (step @p604 :rule refl :args (@t119)) % 251.93/252.22 (step @p605 :rule cong :premises (@p604 @p603) :args (@t120)) % 251.93/252.22 (step @p606 :rule cong :premises (@p605) :args (@t121)) % 251.93/252.22 (step @p607 :rule trans :premises (@p606 @p587)) % 251.93/252.22 (step @p608 :rule refl :args (@t123)) % 251.93/252.22 (step @p609 :rule cong :premises (@p608 @p607) :args (@t124)) % 251.93/252.22 (step @p610 :rule refl :args (@t125)) % 251.93/252.22 (step @p611 :rule cong :premises (@p610 @p609) :args (@t126)) % 251.93/252.22 (step @p612 :rule cong :premises (@p611) :args (@t127)) % 251.93/252.22 (step @p613 :rule trans :premises (@p612 @p585)) % 251.93/252.22 (step @p614 :rule refl :args (@t128)) % 251.93/252.22 (step @p615 :rule cong :premises (@p614 @p613) :args (@t129)) % 251.93/252.22 (step @p616 :rule cong :premises (@p615) :args (@t130)) % 251.93/252.22 (step @p617 :rule trans :premises (@p616 @p583)) % 251.93/252.22 (step @p618 :rule refl :args (@t131)) % 251.93/252.22 (step @p619 :rule cong :premises (@p618 @p617) :args (@t132)) % 251.93/252.22 (step @p620 :rule cong :premises (@p619) :args (@t133)) % 251.93/252.22 (step @p621 :rule trans :premises (@p620 @p558)) % 251.93/252.22 (step @p622 :rule eq_resolve :premises (@p46 @p621)) % 251.93/252.22 (step @p623 :rule bool-eq-true :args (@t566)) % 251.93/252.22 (step @p624 :rule eq-refl :args (@t560)) % 251.93/252.22 (step @p625 :rule refl :args (@t566)) % 251.93/252.22 (step @p626 :rule cong :premises (@p625 @p624) :args (@t567)) % 251.93/252.22 (step @p627 :rule trans :premises (@p626 @p623)) % 251.93/252.22 (step @p628 :rule refl :args (@t569)) % 251.93/252.22 (step @p629 :rule refl :args (@t571)) % 251.93/252.22 (step @p630 :rule refl :args (@t573)) % 251.93/252.22 (step @p631 :rule nary_cong :premises (@p630 @p629 @p628 @p627) :args (@t574)) % 251.93/252.22 (step @p632 :rule refl :args (@t575)) % 251.93/252.22 (step @p633 :rule cong :premises (@p632 @p631) :args ((=> @t575 @t574))) % 251.93/252.22 (assume-push @p780 @t575) % 251.93/252.22 (step @p635 :rule instantiate :premises (@p622) :args ((@list @t559 @t558 @t560))) % 251.93/252.22 (step-pop @p781 :rule scope :premises (@p635)) % 251.93/252.22 (step @p636 :rule process_scope :premises (@p781) :args (@t574)) % 251.93/252.22 (step @p638 :rule eq_resolve :premises (@p636 @p633)) % 251.93/252.22 (step @p639 :rule implies_elim :premises (@p638)) % 251.93/252.22 (step @p640 :rule chain_m_resolution :premises (@p639 @p622) :args (@t576 @t577 (@list @t575))) % 251.93/252.22 (step @p641 :rule aci_norm :args ((= (or (or @t518 @t534) @t256) (or @t518 @t534 @t256)))) % 251.93/252.22 (step @p642 :rule refl :args (@t256)) % 251.93/252.22 (step @p643 :rule bool-and-de-morgan :args (@t131 @t128 true)) % 251.93/252.22 (step @p644 :rule nary_cong :premises (@p643 @p642) :args ((or (not @t257) @t256))) % 251.93/252.22 (step @p645 :rule trans :premises (@p644 @p641)) % 251.93/252.22 (step @p646 :rule bool-impl-elim :args (@t257 @t256)) % 251.93/252.22 (step @p647 :rule trans :premises (@p646 @p645)) % 251.93/252.22 (step @p648 :rule cong :premises (@p647) :args (@t258)) % 251.93/252.22 (step @p649 :rule eq_resolve :premises (@p136 @p648)) % 251.93/252.22 (step @p650 :rule instantiate :premises (@p649) :args ((@list @t559 @t558))) % 251.93/252.22 (step @p651 :rule aci_norm :args ((= @t579 @t555))) % 251.93/252.22 (step @p652 :rule cong :premises (@p651) :args (@t580)) % 251.93/252.22 (step @p653 :rule quant-merge-prenex :args ((= (forall @t13 @t582) @t580))) % 251.93/252.22 (step @p654 :rule alpha_equiv :args (@t583 (@list @t552) (@list @t2))) % 251.93/252.22 (step @p655 :rule nary_cong :premises (@p548 @p654) :args (@t584)) % 251.93/252.22 (step @p656 :rule quant-miniscope-or :args ((= @t582 @t584))) % 251.93/252.22 (step @p657 :rule trans :premises (@p656 @p655)) % 251.93/252.22 (step @p658 :rule symm :premises (@p657)) % 251.93/252.22 (step @p659 :rule cong :premises (@p658) :args ((forall @t13 (or @t518 @t585)))) % 251.93/252.22 (step @p660 :rule trans :premises (@p659 @p653)) % 251.93/252.22 (step @p661 :rule trans :premises (@p660 @p652)) % 251.93/252.22 (step @p662 :rule bool-impl-elim :args (@t131 @t585)) % 251.93/252.22 (step @p663 :rule cong :premises (@p662) :args ((forall @t13 (=> @t131 @t585)))) % 251.93/252.22 (step @p664 :rule trans :premises (@p663 @p661)) % 251.93/252.22 (step @p665 :rule bool-impl-elim :args (@t128 @t462)) % 251.93/252.22 (step @p666 :rule cong :premises (@p665) :args (@t463)) % 251.93/252.22 (step @p667 :rule cong :premises (@p618 @p666) :args (@t464)) % 251.93/252.22 (step @p668 :rule cong :premises (@p667) :args (@t465)) % 251.93/252.22 (step @p669 :rule trans :premises (@p668 @p664)) % 251.93/252.22 (step @p670 :rule cong :premises (@p669) :args (@t466)) % 251.93/252.22 (step @p671 :rule eq_resolve :premises (@p429 @p670)) % 251.93/252.22 (step @p672 :rule skolemize :premises (@p671)) % 251.93/252.22 (step @p673 :rule bool-double-not-elim :args (@t570)) % 251.93/252.22 (step @p674 :rule refl :args (@t587)) % 251.93/252.22 (step @p675 :rule nary_cong :premises (@p674 @p673) :args ((or @t587 (not @t571)))) % 251.93/252.22 (step @p676 :rule cnf_or_neg :args (@t587 1)) % 251.93/252.22 (step @p677 :rule eq_resolve :premises (@p676 @p675)) % 251.93/252.22 (step @p678 :rule reordering :premises (@p677) :args ((or @t570 @t587))) % 251.93/252.22 (step @p679 :rule chain_m_resolution :premises (@p678 @p672) :args (@t570 @t588 @t589)) % 251.93/252.22 (step @p680 :rule bool-double-not-elim :args (@t572)) % 251.93/252.22 (step @p681 :rule nary_cong :premises (@p674 @p680) :args ((or @t587 (not @t573)))) % 251.93/252.22 (step @p682 :rule cnf_or_neg :args (@t587 0)) % 251.93/252.22 (step @p683 :rule eq_resolve :premises (@p682 @p681)) % 251.93/252.22 (step @p684 :rule reordering :premises (@p683) :args ((or @t572 @t587))) % 251.93/252.22 (step @p685 :rule chain_m_resolution :premises (@p684 @p672) :args (@t572 @t588 @t589)) % 251.93/252.22 (step @p686 :rule cnf_or_pos :args (@t590)) % 251.93/252.22 (step @p687 :rule reordering :premises (@p686) :args ((or @t573 @t571 @t568 (not @t590)))) % 251.93/252.22 (step @p688 :rule chain_m_resolution :premises (@p687 @p685 @p679 @p650) :args (@t568 @t591 (@list @t572 @t570 @t590))) % 251.93/252.22 (step @p689 :rule cnf_or_pos :args (@t576)) % 251.93/252.22 (step @p690 :rule reordering :premises (@p689) :args ((or @t573 @t571 @t569 @t566 (not @t576)))) % 251.93/252.22 (step @p691 :rule chain_m_resolution :premises (@p690 @p685 @p679 @p688 @p640) :args (@t566 (@list false false false false) (@list @t572 @t570 @t568 @t576))) % 251.93/252.22 (step @p692 :rule eq-symm :args (@t594 @t595)) % 251.93/252.22 (step @p693 :rule refl :args (@t597)) % 251.93/252.22 (step @p694 :rule nary_cong :premises (@p693 @p692) :args (@t598)) % 251.93/252.22 (step @p695 :rule cong :premises (@p625 @p694) :args ((=> @t566 @t598))) % 251.93/252.22 (assume-push @p782 @t566) % 251.93/252.22 (step @p697 :rule instantiate :premises (@p691) :args ((@list @t593))) % 251.93/252.22 (step-pop @p783 :rule scope :premises (@p697)) % 251.93/252.22 (step @p698 :rule process_scope :premises (@p783) :args (@t598)) % 251.93/252.22 (step @p700 :rule eq_resolve :premises (@p698 @p695)) % 251.93/252.22 (step @p701 :rule implies_elim :premises (@p700)) % 251.93/252.22 (step @p702 :rule chain_m_resolution :premises (@p701 @p691) :args (@t600 @t577 (@list @t566))) % 251.93/252.22 (step @p703 :rule aci_norm :args ((= @t606 (or @t604 @t603 @t602)))) % 251.93/252.22 (step @p704 :rule cong :premises (@p703) :args (@t607)) % 251.93/252.22 (step @p705 :rule quant-merge-prenex :args ((= (forall @t6 @t609) @t607))) % 251.93/252.22 (step @p706 :rule alpha_equiv :args (@t610 (@list @t601) @t490)) % 251.93/252.22 (step @p707 :rule refl :args (@t604)) % 251.93/252.22 (step @p708 :rule nary_cong :premises (@p707 @p706) :args (@t611)) % 251.93/252.22 (step @p709 :rule quant-miniscope-or :args ((= @t609 @t611))) % 251.93/252.22 (step @p710 :rule trans :premises (@p709 @p708)) % 251.93/252.22 (step @p711 :rule symm :premises (@p710)) % 251.93/252.22 (step @p712 :rule cong :premises (@p711) :args ((forall @t6 (or @t604 @t612)))) % 251.93/252.22 (step @p713 :rule trans :premises (@p712 @p705)) % 251.93/252.22 (step @p714 :rule trans :premises (@p713 @p704)) % 251.93/252.22 (step @p715 :rule bool-impl-elim :args (@t25 @t612)) % 251.93/252.22 (step @p716 :rule cong :premises (@p715) :args ((forall @t6 (=> @t25 @t612)))) % 251.93/252.22 (step @p717 :rule trans :premises (@p716 @p714)) % 251.93/252.22 (step @p718 :rule bool-impl-elim :args (@t165 @t77)) % 251.93/252.22 (step @p719 :rule cong :premises (@p718) :args (@t301)) % 251.93/252.22 (step @p720 :rule refl :args (@t25)) % 251.93/252.22 (step @p721 :rule cong :premises (@p720 @p719) :args (@t302)) % 251.93/252.22 (step @p722 :rule cong :premises (@p721) :args (@t303)) % 251.93/252.22 (step @p723 :rule trans :premises (@p722 @p717)) % 251.93/252.22 (step @p724 :rule eq_resolve :premises (@p234 @p723)) % 251.93/252.22 (step @p725 :rule instantiate :premises (@p724) :args ((@list @t563 @t558 @t593))) % 251.93/252.22 (step @p726 :rule bool-impl-elim :args (@t77 @t165)) % 251.93/252.22 (step @p727 :rule cong :premises (@p726) :args (@t195)) % 251.93/252.22 (step @p728 :rule refl :args (@t85)) % 251.93/252.22 (step @p729 :rule cong :premises (@p728 @p727) :args (@t196)) % 251.93/252.22 (step @p730 :rule cong :premises (@p729) :args (@t197)) % 251.93/252.23 (step @p731 :rule eq_resolve :premises (@p82 @p730)) % 251.93/252.23 (step @p732 :rule instantiate :premises (@p731) :args ((@list @t558 @t560))) % 251.93/252.23 (step @p733 :rule cnf_or_neg :args (@t587 2)) % 251.93/252.23 (step @p734 :rule chain_m_resolution :premises (@p733 @p672) :args ((not @t586) @t588 @t589)) % 251.93/252.23 (step @p735 :rule cnf_equiv_pos2 :args (@t613)) % 251.93/252.23 (step @p736 :rule reordering :premises (@p735) :args ((or @t586 @t614 (not @t613)))) % 251.93/252.23 (step @p737 :rule chain_m_resolution :premises (@p736 @p734 @p732) :args (@t614 @t615 (@list @t586 @t613))) % 251.93/252.23 (step @p738 :rule skolemize :premises (@p737)) % 251.93/252.23 (step @p739 :rule bool-double-not-elim :args (@t616)) % 251.93/252.23 (step @p740 :rule refl :args (@t618)) % 251.93/252.23 (step @p741 :rule nary_cong :premises (@p740 @p739) :args ((or @t618 (not @t617)))) % 251.93/252.23 (step @p742 :rule cnf_or_neg :args (@t618 0)) % 251.93/252.23 (step @p743 :rule eq_resolve :premises (@p742 @p741)) % 251.93/252.23 (step @p744 :rule reordering :premises (@p743) :args ((or @t616 @t618))) % 251.93/252.23 (step @p745 :rule chain_m_resolution :premises (@p744 @p738) :args (@t616 @t588 @t619)) % 251.93/252.23 (step @p746 :rule cnf_or_pos :args (@t620)) % 251.93/252.23 (step @p747 :rule reordering :premises (@p746) :args ((or @t571 @t617 @t596 (not @t620)))) % 251.93/252.23 (step @p748 :rule chain_m_resolution :premises (@p747 @p679 @p745 @p725) :args (@t596 @t591 (@list @t570 @t616 @t620))) % 251.93/252.23 (step @p749 :rule cnf_or_pos :args (@t600)) % 251.93/252.23 (step @p750 :rule reordering :premises (@p749) :args ((or @t597 @t599 (not @t600)))) % 251.93/252.23 (step @p751 :rule chain_m_resolution :premises (@p750 @p748 @p702) :args (@t599 (@list false false) (@list @t596 @t600))) % 251.93/252.23 (step @p752 :rule cnf_or_neg :args (@t618 1)) % 251.93/252.23 (step @p753 :rule chain_m_resolution :premises (@p752 @p738) :args ((not @t595) @t588 @t619)) % 251.93/252.23 (step @p754 :rule cnf_equiv_pos2 :args (@t599)) % 251.93/252.23 (step @p755 :rule reordering :premises (@p754) :args ((or @t595 @t621 (not @t599)))) % 251.93/252.23 (step @p756 :rule chain_m_resolution :premises (@p755 @p753 @p751) :args (@t621 @t615 (@list @t595 @t599))) % 251.93/252.23 (step @p757 :rule skolemize :premises (@p756)) % 251.93/252.23 (step @p758 :rule bool-double-not-elim :args (@t623)) % 251.93/252.23 (step @p759 :rule refl :args (@t627)) % 251.93/252.23 (step @p760 :rule nary_cong :premises (@p759 @p758) :args ((or @t627 (not @t624)))) % 251.93/252.23 (step @p761 :rule cnf_or_neg :args (@t627 3)) % 251.93/252.23 (step @p762 :rule eq_resolve :premises (@p761 @p760)) % 251.93/252.23 (step @p763 :rule reordering :premises (@p762) :args ((or @t623 @t627))) % 251.93/252.23 (step @p764 :rule chain_m_resolution :premises (@p763 @p757) :args (@t623 @t588 @t628)) % 251.93/252.23 (step @p765 :rule bool-double-not-elim :args (@t625)) % 251.93/252.23 (step @p766 :rule nary_cong :premises (@p759 @p765) :args ((or @t627 (not @t626)))) % 251.93/252.23 (step @p767 :rule cnf_or_neg :args (@t627 2)) % 251.93/252.23 (step @p768 :rule eq_resolve :premises (@p767 @p766)) % 251.93/252.23 (step @p769 :rule reordering :premises (@p768) :args ((or @t625 @t627))) % 251.93/252.23 (step @p770 :rule chain_m_resolution :premises (@p769 @p757) :args (@t625 @t588 @t628)) % 251.93/252.23 (step @p771 :rule cnf_or_pos :args (@t629)) % 251.93/252.23 (step @p772 :rule reordering :premises (@p771) :args ((or @t617 @t626 @t624 @t630))) % 251.93/252.23 (step @p773 :rule chain_m_resolution :premises (@p772 @p745 @p770 @p764) :args (@t630 @t591 (@list @t616 @t625 @t623))) % 251.93/252.23 (assume-push @p784 @t631) % 251.93/252.23 (step @p775 :rule instantiate :premises (@p533) :args ((@list @t558 @t622 @t593))) % 251.93/252.23 (step-pop @p785 :rule scope :premises (@p775)) % 251.93/252.23 (step @p776 :rule process_scope :premises (@p785) :args (@t629)) % 251.93/252.23 (step @p778 :rule implies_elim :premises (@p776)) % 251.93/252.23 (step @p779 false :rule chain_m_resolution :premises (@p778 @p773 @p533) :args (false @t615 (@list @t629 @t631))) % 251.93/252.23 ) % 251.93/252.23 % SZS output end Proof % 251.93/252.23 % cvc5 exiting %------------------------------------------------------------------------------