0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : do_CVC4 %s 0.02/0.27 % Computer : n139.star.cs.uiowa.edu 0.02/0.27 % Model : x86_64 x86_64 0.02/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.27 % Memory : 32218.625MB 0.02/0.27 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.27 % CPULimit : 300 0.02/0.27 % DateTime : Fri Jul 13 14:53:30 CDT 2018 0.02/0.27 % CPUTime : 0.07/0.31 %----Proving without arithmetic mode 0.07/0.31 ------- cvc4-fof casc j9 : /export/starexec/sandbox2/benchmark/theBenchmark.p at ... 0.07/0.31 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 0.07/0.38 % SZS status Theorem for theBenchmark 0.07/0.38 % SZS output start Proof for theBenchmark 0.07/0.38 (skolem (forall ((A $$unsorted)) (not (one_sorted_str A)) ) 0.07/0.38 ( skv_1 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((A $$unsorted)) (empty A) ) 0.07/0.38 ( skv_2 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((A $$unsorted)) (not (top_str A)) ) 0.07/0.38 ( skv_3 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((A $$unsorted)) (not (empty A)) ) 0.07/0.38 ( skv_4 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((A $$unsorted) (BOUND_VARIABLE_988 $$unsorted) (BOUND_VARIABLE_989 $$unsorted)) (or (empty_carrier A) (not (top_str A)) (not (topological_space A)) (empty_carrier BOUND_VARIABLE_988) (not (transitive_relstr BOUND_VARIABLE_988)) (not (net_str BOUND_VARIABLE_988 A)) (not (directed_relstr BOUND_VARIABLE_988)) (not (element BOUND_VARIABLE_989 (the_carrier A))) (not (in BOUND_VARIABLE_989 (lim_points_of_net A BOUND_VARIABLE_988))) (is_a_cluster_point_of_netstr A BOUND_VARIABLE_988 BOUND_VARIABLE_989)) ) 0.07/0.38 ( skv_5 skv_6 skv_7 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((A $$unsorted)) (or (empty A) (not (finite A))) ) 0.07/0.38 ( skv_8 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((A $$unsorted)) (or (not (one_sorted_str A)) (empty_carrier A)) ) 0.07/0.38 ( skv_9 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((A $$unsorted)) (not (rel_str A)) ) 0.07/0.38 ( skv_10 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((C $$unsorted)) (not (point_neighbourhood C skv_5 skv_7)) ) 0.07/0.38 ( skv_11 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_2)))) ) 0.07/0.38 ( skv_12 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_8)))) ) 0.07/0.38 ( skv_13 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (element B (powerset (the_carrier skv_9))))) ) 0.07/0.38 ( skv_14 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (not (net_str B skv_1)) ) 0.07/0.38 ( skv_15 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (not (net_str B skv_9)) ) 0.07/0.38 ( skv_16 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (element B (powerset (the_carrier skv_5))))) ) 0.07/0.38 ( skv_17 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((D $$unsorted)) (or (not (point_neighbourhood D skv_5 skv_7)) (is_often_in skv_5 skv_6 D)) ) 0.07/0.38 ( skv_18 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (element B (powerset (the_carrier skv_1))))) ) 0.07/0.38 ( skv_19 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (element B (powerset (the_carrier skv_6))))) ) 0.07/0.38 ( skv_20 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset (the_carrier skv_5))))) ) 0.07/0.38 ( skv_21 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset (lim_points_of_net skv_5 skv_6))))) ) 0.07/0.38 ( skv_22 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset (the_carrier skv_9))))) ) 0.07/0.38 ( skv_23 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_12)))) ) 0.07/0.38 ( skv_24 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_13)))) ) 0.07/0.38 ( skv_25 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_14)))) ) 0.07/0.38 ( skv_26 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_17)))) ) 0.07/0.38 ( skv_27 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (not (net_str B skv_3)) ) 0.07/0.38 ( skv_28 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (not (net_str B skv_5)) ) 0.07/0.38 ( skv_29 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (not (net_str B skv_10)) ) 0.07/0.38 ( skv_30 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset (the_carrier skv_6))))) ) 0.07/0.38 ( skv_31 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_20)))) ) 0.07/0.38 ( skv_32 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset (the_carrier skv_1))))) ) 0.07/0.38 ( skv_33 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_19)))) ) 0.07/0.38 ( skv_34 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (element B (powerset (the_carrier skv_10))))) ) 0.07/0.38 ( skv_35 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (element B (powerset (the_carrier skv_3))))) ) 0.07/0.38 ( skv_36 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset (powerset (the_carrier skv_5)))))) ) 0.07/0.38 ( skv_37 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset (powerset skv_2))))) ) 0.07/0.38 ( skv_38 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset (powerset skv_8))))) ) 0.07/0.38 ( skv_39 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset (powerset (the_carrier skv_6)))))) ) 0.07/0.38 ( skv_40 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset (powerset (the_carrier skv_9)))))) ) 0.07/0.38 ( skv_41 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset (powerset (the_carrier skv_1)))))) ) 0.07/0.38 ( skv_42 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset (powerset empty_set))))) ) 0.07/0.38 ( skv_43 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_21)))) ) 0.07/0.38 ( skv_44 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_22)))) ) 0.07/0.38 ( skv_45 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_23)))) ) 0.07/0.38 ( skv_46 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_24)))) ) 0.07/0.38 ( skv_47 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_25)))) ) 0.07/0.38 ( skv_48 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_26)))) ) 0.07/0.38 ( skv_49 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_27)))) ) 0.07/0.38 ( skv_50 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_31)))) ) 0.07/0.38 ( skv_51 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_32)))) ) 0.07/0.38 ( skv_52 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (not (net_str B skv_6)) ) 0.07/0.38 ( skv_53 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_33)))) ) 0.07/0.38 ( skv_54 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_34)))) ) 0.07/0.38 ( skv_55 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_35)))) ) 0.07/0.38 ( skv_56 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_36)))) ) 0.07/0.38 ( skv_57 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (element B (powerset (the_carrier skv_16))))) ) 0.07/0.38 ( skv_58 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (element B (powerset (the_carrier skv_15))))) ) 0.07/0.38 ( skv_59 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset skv_7)))) ) 0.07/0.38 ( skv_60 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset (the_carrier skv_10))))) ) 0.07/0.38 ( skv_61 ) 0.07/0.38 ) 0.07/0.38 (skolem (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset (the_carrier skv_3))))) ) 0.07/0.38 ( skv_62 ) 0.07/0.38 ) 0.07/0.38 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (= (element A (powerset B)) (subset A B)) ) 0.07/0.38 ( (the_carrier skv_5), empty_set ) 0.07/0.38 ( (the_carrier skv_5), (the_carrier skv_5) ) 0.07/0.38 ( (lim_points_of_net skv_5 skv_6), empty_set ) 0.07/0.38 ( (lim_points_of_net skv_5 skv_6), (the_carrier skv_5) ) 0.07/0.38 ( (powerset (the_carrier skv_5)), empty_set ) 0.07/0.38 ( (powerset (the_carrier skv_5)), skv_2 ) 0.07/0.38 ( (powerset (the_carrier skv_5)), (the_carrier skv_6) ) 0.07/0.38 ( (powerset skv_2), skv_8 ) 0.07/0.38 ( (powerset skv_8), (the_carrier skv_9) ) 0.07/0.38 ( (powerset (the_carrier skv_6)), skv_12 ) 0.07/0.38 ( (powerset (the_carrier skv_9)), (the_carrier skv_1) ) 0.07/0.38 ( (powerset (the_carrier skv_1)), (lim_points_of_net skv_5 skv_6) ) 0.07/0.38 ( skv_11, (the_carrier skv_5) ) 0.07/0.38 ( skv_12, skv_2 ) 0.07/0.38 ( skv_13, skv_8 ) 0.07/0.38 ( skv_14, (the_carrier skv_9) ) 0.07/0.38 ( skv_17, (the_carrier skv_5) ) 0.07/0.38 ( skv_18, (the_carrier skv_5) ) 0.07/0.38 ( skv_19, (the_carrier skv_1) ) 0.07/0.38 ( skv_20, (the_carrier skv_6) ) 0.07/0.38 ( (lim_points_of_net skv_1 skv_15), (the_carrier skv_1) ) 0.07/0.38 ( (lim_points_of_net skv_9 skv_16), (the_carrier skv_9) ) 0.07/0.38 ( skv_21, (the_carrier skv_5) ) 0.07/0.38 ( skv_22, (lim_points_of_net skv_5 skv_6) ) 0.07/0.38 ( skv_23, (the_carrier skv_9) ) 0.07/0.38 ( skv_24, skv_12 ) 0.07/0.38 ( skv_25, skv_13 ) 0.07/0.38 ( skv_26, skv_14 ) 0.07/0.38 ( skv_27, skv_17 ) 0.07/0.38 ( skv_31, (the_carrier skv_6) ) 0.07/0.38 ( skv_32, skv_20 ) 0.07/0.38 ( skv_33, (the_carrier skv_1) ) 0.07/0.38 ( skv_34, skv_19 ) 0.07/0.38 ( skv_35, (the_carrier skv_10) ) 0.07/0.38 ( skv_36, (the_carrier skv_3) ) 0.07/0.38 ( (lim_points_of_net skv_3 skv_28), (the_carrier skv_3) ) 0.07/0.38 ( (lim_points_of_net skv_5 skv_29), (the_carrier skv_5) ) 0.07/0.38 ( (lim_points_of_net skv_10 skv_30), (the_carrier skv_10) ) 0.07/0.38 ( skv_37, (powerset (the_carrier skv_5)) ) 0.07/0.38 ( skv_38, (powerset skv_2) ) 0.07/0.38 ( skv_39, (powerset skv_8) ) 0.07/0.38 ( skv_40, (powerset (the_carrier skv_6)) ) 0.07/0.38 ( skv_41, (powerset (the_carrier skv_9)) ) 0.07/0.38 ( skv_42, (powerset (the_carrier skv_1)) ) 0.07/0.38 ( skv_43, (powerset empty_set) ) 0.07/0.38 ( skv_44, skv_21 ) 0.07/0.38 ( skv_45, skv_22 ) 0.07/0.38 ( skv_46, skv_23 ) 0.07/0.38 ( skv_47, skv_24 ) 0.07/0.38 ( skv_48, skv_25 ) 0.07/0.38 ( skv_49, skv_26 ) 0.07/0.38 ( skv_50, skv_27 ) 0.07/0.38 ( skv_51, skv_31 ) 0.07/0.38 ( skv_52, skv_32 ) 0.07/0.38 ( skv_54, skv_33 ) 0.07/0.38 ( skv_55, skv_34 ) 0.07/0.38 ( skv_56, skv_35 ) 0.07/0.38 ( skv_57, skv_36 ) 0.07/0.38 ( skv_58, (the_carrier skv_16) ) 0.07/0.38 ( skv_59, (the_carrier skv_15) ) 0.07/0.38 ( skv_60, skv_7 ) 0.07/0.38 ( skv_61, (the_carrier skv_10) ) 0.07/0.38 ( skv_62, (the_carrier skv_3) ) 0.07/0.38 ) 0.07/0.38 (instantiation (forall ((A $$unsorted)) (or (not (top_str A)) (one_sorted_str A)) ) 0.07/0.38 ( skv_3 ) 0.07/0.38 ( skv_5 ) 0.07/0.38 ( skv_6 ) 0.07/0.38 ) 0.07/0.38 (instantiation (forall ((A $$unsorted) (BOUND_VARIABLE_765 $$unsorted) (BOUND_VARIABLE_766 $$unsorted)) (or (not (one_sorted_str A)) (empty_carrier A) (not (transitive_relstr BOUND_VARIABLE_765)) (not (net_str BOUND_VARIABLE_765 A)) (not (directed_relstr BOUND_VARIABLE_765)) (empty_carrier BOUND_VARIABLE_765) (not (is_eventually_in A BOUND_VARIABLE_765 BOUND_VARIABLE_766)) (is_often_in A BOUND_VARIABLE_765 BOUND_VARIABLE_766)) ) 0.07/0.38 ( skv_5, skv_6, skv_18 ) 0.07/0.38 ) 0.07/0.38 (instantiation (let ((_let_0 (the_carrier A))) (forall ((A $$unsorted) (BOUND_VARIABLE_833 $$unsorted) (BOUND_VARIABLE_834 $$unsorted)) (or (empty_carrier A) (not (top_str A)) (not (topological_space A)) (not (transitive_relstr BOUND_VARIABLE_833)) (not (directed_relstr BOUND_VARIABLE_833)) (not (net_str BOUND_VARIABLE_833 A)) (empty_carrier BOUND_VARIABLE_833) (not (element BOUND_VARIABLE_834 (powerset _let_0))) (= (forall ((D $$unsorted)) (or (not (element D _let_0)) (= (forall ((E $$unsorted)) (or (not (point_neighbourhood E A D)) (is_eventually_in A BOUND_VARIABLE_833 E)) ) (in D BOUND_VARIABLE_834))) ) (= BOUND_VARIABLE_834 (lim_points_of_net A BOUND_VARIABLE_833)))) )) 0.07/0.38 ( skv_5, skv_6, (lim_points_of_net skv_5 skv_6) ) 0.07/0.38 ( skv_5, skv_6, skv_17 ) 0.07/0.38 ( skv_9, skv_6, skv_14 ) 0.07/0.38 ) 0.07/0.38 (instantiation (forall ((A $$unsorted)) (or (not (empty A)) (function A)) ) 0.07/0.38 ( empty_set ) 0.07/0.38 ( skv_4 ) 0.07/0.38 ) 0.07/0.38 (instantiation (forall ((A $$unsorted)) (or (not (cup_closed A)) (not (diff_closed A)) (preboolean A)) ) 0.07/0.38 ( (powerset (the_carrier skv_5)) ) 0.07/0.38 ( (powerset skv_2) ) 0.07/0.38 ( (powerset skv_8) ) 0.07/0.38 ( (powerset (the_carrier skv_6)) ) 0.07/0.38 ( (powerset (the_carrier skv_9)) ) 0.07/0.38 ( (powerset (the_carrier skv_1)) ) 0.07/0.38 ( (powerset empty_set) ) 0.07/0.38 ( (powerset (lim_points_of_net skv_5 skv_6)) ) 0.07/0.38 ( (powerset skv_12) ) 0.07/0.38 ( (powerset skv_13) ) 0.07/0.38 ( (powerset skv_14) ) 0.07/0.38 ( (powerset skv_17) ) 0.07/0.38 ( (powerset skv_19) ) 0.07/0.38 ( (powerset skv_20) ) 0.07/0.38 ( (powerset (the_carrier skv_3)) ) 0.07/0.38 ( (powerset (the_carrier skv_10)) ) 0.07/0.38 ) 0.07/0.38 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (empty_carrier A) (not (topological_space A)) (not (element B (the_carrier A))) (not (top_str A)) (not (forall ((C $$unsorted)) (not (point_neighbourhood C A B)) ))) ) 0.07/0.38 ( skv_5, skv_7 ) 0.07/0.38 ) 0.07/0.38 (instantiation (forall ((A $$unsorted)) (or (not (one_sorted_str A)) (empty_carrier A) (not (empty (the_carrier A)))) ) 0.07/0.38 ( skv_1 ) 0.07/0.38 ( skv_3 ) 0.07/0.38 ( skv_5 ) 0.07/0.38 ( skv_6 ) 0.07/0.38 ( skv_9 ) 0.07/0.38 ( skv_10 ) 0.07/0.38 ( skv_15 ) 0.07/0.38 ( skv_16 ) 0.07/0.38 ( skv_28 ) 0.07/0.38 ( skv_29 ) 0.07/0.38 ( skv_30 ) 0.07/0.38 ) 0.07/0.38 (instantiation (forall ((A $$unsorted)) (or (not (empty A)) (finite A)) ) 0.07/0.38 ( empty_set ) 0.07/0.38 ( skv_2 ) 0.07/0.38 ( skv_4 ) 0.07/0.38 ( (the_carrier skv_5) ) 0.07/0.38 ( (lim_points_of_net skv_5 skv_6) ) 0.07/0.38 ( (the_carrier skv_1) ) 0.07/0.38 ( (the_carrier skv_9) ) 0.07/0.38 ( (the_carrier skv_6) ) 0.07/0.38 ( skv_11 ) 0.07/0.38 ( skv_14 ) 0.07/0.38 ( skv_17 ) 0.07/0.38 ( skv_18 ) 0.07/0.38 ( skv_19 ) 0.07/0.38 ( skv_20 ) 0.07/0.38 ( (the_carrier skv_3) ) 0.07/0.38 ( (the_carrier skv_10) ) 0.07/0.38 ( skv_35 ) 0.07/0.38 ( skv_36 ) 0.07/0.38 ) 0.07/0.38 (instantiation (forall ((A $$unsorted)) (or (not (rel_str A)) (one_sorted_str A)) ) 0.07/0.38 ( skv_6 ) 0.07/0.38 ( skv_10 ) 0.07/0.38 ( skv_15 ) 0.07/0.38 ( skv_16 ) 0.07/0.38 ( skv_28 ) 0.07/0.38 ( skv_29 ) 0.07/0.38 ( skv_30 ) 0.07/0.38 ) 0.07/0.38 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (element A B)) (empty B) (in A B)) ) 0.07/0.38 ( skv_7, empty_set ) 0.07/0.38 ( skv_7, (the_carrier skv_5) ) 0.07/0.38 ( skv_7, (lim_points_of_net skv_5 skv_6) ) 0.07/0.38 ( (the_carrier skv_5), skv_7 ) 0.07/0.38 ( (the_carrier skv_5), (powerset empty_set) ) 0.07/0.38 ( (lim_points_of_net skv_5 skv_6), skv_7 ) 0.07/0.38 ( (lim_points_of_net skv_5 skv_6), (powerset (the_carrier skv_5)) ) 0.07/0.38 ( (lim_points_of_net skv_5 skv_6), (powerset empty_set) ) 0.07/0.38 ( (powerset (the_carrier skv_5)), (lim_points_of_net skv_5 skv_6) ) 0.07/0.38 ( (powerset (the_carrier skv_5)), skv_17 ) 0.07/0.38 ( (powerset skv_2), skv_12 ) 0.07/0.38 ( (powerset skv_8), skv_13 ) 0.07/0.38 ( (powerset (the_carrier skv_6)), skv_20 ) 0.07/0.38 ( (powerset (the_carrier skv_9)), skv_14 ) 0.07/0.38 ( (powerset (the_carrier skv_1)), skv_19 ) 0.07/0.38 ( skv_11, (powerset (the_carrier skv_5)) ) 0.07/0.38 ( skv_12, (powerset skv_2) ) 0.07/0.38 ( skv_13, (powerset skv_8) ) 0.07/0.38 ( skv_14, (powerset (the_carrier skv_9)) ) 0.07/0.38 ( skv_17, (powerset (the_carrier skv_5)) ) 0.07/0.38 ( skv_18, (powerset (the_carrier skv_5)) ) 0.07/0.38 ( skv_19, (powerset (the_carrier skv_1)) ) 0.07/0.38 ( skv_20, (powerset (the_carrier skv_6)) ) 0.07/0.38 ( (lim_points_of_net skv_1 skv_15), (powerset (the_carrier skv_1)) ) 0.07/0.38 ( (lim_points_of_net skv_9 skv_16), (powerset (the_carrier skv_9)) ) 0.07/0.38 ( skv_21, (powerset (the_carrier skv_5)) ) 0.07/0.38 ( skv_22, (powerset (lim_points_of_net skv_5 skv_6)) ) 0.07/0.38 ( skv_23, (powerset (the_carrier skv_9)) ) 0.07/0.38 ( skv_24, (powerset skv_12) ) 0.07/0.38 ( skv_25, (powerset skv_13) ) 0.07/0.38 ( skv_26, (powerset skv_14) ) 0.07/0.38 ( skv_27, (powerset skv_17) ) 0.07/0.38 ( skv_31, (powerset (the_carrier skv_6)) ) 0.07/0.38 ( skv_32, (powerset skv_20) ) 0.07/0.38 ( skv_33, (powerset (the_carrier skv_1)) ) 0.07/0.38 ( skv_34, (powerset skv_19) ) 0.07/0.38 ( skv_35, (powerset (the_carrier skv_10)) ) 0.07/0.38 ( skv_36, (powerset (the_carrier skv_3)) ) 0.07/0.38 ( skv_37, (powerset (powerset (the_carrier skv_5))) ) 0.07/0.38 ( skv_38, (powerset (powerset skv_2)) ) 0.07/0.38 ( skv_39, (powerset (powerset skv_8)) ) 0.07/0.38 ( skv_40, (powerset (powerset (the_carrier skv_6))) ) 0.07/0.38 ( skv_41, (powerset (powerset (the_carrier skv_9))) ) 0.07/0.38 ( skv_42, (powerset (powerset (the_carrier skv_1))) ) 0.07/0.38 ( skv_43, (powerset (powerset empty_set)) ) 0.07/0.38 ( skv_44, (powerset skv_21) ) 0.07/0.38 ( skv_45, (powerset skv_22) ) 0.07/0.38 ( skv_46, (powerset skv_23) ) 0.07/0.38 ( skv_47, (powerset skv_24) ) 0.07/0.38 ( skv_48, (powerset skv_25) ) 0.07/0.38 ( skv_49, (powerset skv_26) ) 0.07/0.38 ( skv_50, (powerset skv_27) ) 0.07/0.38 ( skv_51, (powerset skv_31) ) 0.07/0.38 ( skv_52, (powerset skv_32) ) 0.07/0.38 ( skv_54, (powerset skv_33) ) 0.07/0.38 ( skv_55, (powerset skv_34) ) 0.07/0.38 ( skv_56, (powerset skv_35) ) 0.07/0.38 ( skv_57, (powerset skv_36) ) 0.07/0.38 ( skv_58, (powerset (the_carrier skv_16)) ) 0.07/0.38 ( skv_59, (powerset (the_carrier skv_15)) ) 0.07/0.38 ( skv_60, (powerset skv_7) ) 0.07/0.38 ( skv_61, (powerset (the_carrier skv_10)) ) 0.07/0.38 ( skv_62, (powerset (the_carrier skv_3)) ) 0.07/0.38 ) 0.07/0.38 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (empty_carrier A) (not (topological_space A)) (not (net_str B A)) (not (directed_relstr B)) (not (transitive_relstr B)) (empty_carrier B) (not (top_str A)) (element (lim_points_of_net A B) (powerset (the_carrier A)))) ) 0.07/0.38 ( skv_1, skv_15 ) 0.07/0.38 ( skv_3, skv_28 ) 0.07/0.38 ( skv_5, skv_6 ) 0.07/0.38 ( skv_5, skv_29 ) 0.07/0.38 ( skv_6, skv_53 ) 0.07/0.38 ( skv_9, skv_6 ) 0.07/0.38 ( skv_9, skv_16 ) 0.07/0.38 ( skv_10, skv_30 ) 0.07/0.38 ) 0.07/0.38 (instantiation (forall ((A $$unsorted)) (or (empty A) (not (forall ((B $$unsorted)) (or (empty B) (not (finite B)) (not (element B (powerset A)))) ))) ) 0.07/0.38 ( skv_2 ) 0.07/0.38 ( skv_7 ) 0.07/0.38 ( (the_carrier skv_5) ) 0.07/0.38 ( (lim_points_of_net skv_5 skv_6) ) 0.07/0.38 ( skv_8 ) 0.07/0.38 ( (the_carrier skv_1) ) 0.07/0.38 ( (the_carrier skv_9) ) 0.07/0.38 ( (the_carrier skv_6) ) 0.07/0.38 ( (powerset (the_carrier skv_5)) ) 0.07/0.38 ( (powerset skv_2) ) 0.07/0.38 ( (powerset skv_8) ) 0.07/0.38 ( (powerset (the_carrier skv_6)) ) 0.07/0.38 ( (powerset (the_carrier skv_9)) ) 0.07/0.38 ( (powerset (the_carrier skv_1)) ) 0.07/0.38 ( (powerset empty_set) ) 0.07/0.38 ( skv_12 ) 0.07/0.38 ( skv_13 ) 0.07/0.38 ( skv_14 ) 0.07/0.38 ( skv_17 ) 0.07/0.38 ( skv_19 ) 0.07/0.38 ( skv_20 ) 0.07/0.38 ( (the_carrier skv_3) ) 0.07/0.38 ( (the_carrier skv_10) ) 0.07/0.38 ( (powerset (lim_points_of_net skv_5 skv_6)) ) 0.07/0.38 ( (powerset skv_12) ) 0.07/0.38 ( (powerset skv_13) ) 0.07/0.38 ( (powerset skv_14) ) 0.07/0.38 ( (powerset skv_17) ) 0.07/0.38 ( (powerset skv_19) ) 0.07/0.38 ( (powerset skv_20) ) 0.07/0.38 ( (powerset (the_carrier skv_3)) ) 0.07/0.38 ( (powerset (the_carrier skv_10)) ) 0.07/0.38 ( skv_21 ) 0.07/0.38 ( skv_22 ) 0.07/0.38 ( skv_23 ) 0.07/0.38 ( skv_24 ) 0.07/0.38 ( skv_25 ) 0.07/0.38 ( skv_26 ) 0.07/0.38 ( skv_27 ) 0.07/0.38 ( skv_31 ) 0.07/0.38 ( skv_32 ) 0.07/0.38 ( skv_33 ) 0.07/0.38 ( skv_34 ) 0.07/0.38 ( skv_35 ) 0.07/0.38 ( skv_36 ) 0.07/0.38 ( (the_carrier skv_15) ) 0.07/0.38 ( (the_carrier skv_16) ) 0.07/0.38 ( skv_37 ) 0.07/0.38 ( skv_38 ) 0.07/0.38 ( skv_39 ) 0.07/0.38 ( skv_40 ) 0.07/0.38 ( skv_41 ) 0.07/0.38 ( skv_42 ) 0.07/0.38 ( skv_43 ) 0.07/0.38 ( skv_44 ) 0.07/0.38 ( skv_45 ) 0.07/0.38 ( skv_46 ) 0.07/0.38 ( skv_47 ) 0.07/0.38 ( skv_48 ) 0.07/0.38 ( skv_49 ) 0.07/0.38 ( skv_50 ) 0.07/0.38 ( skv_51 ) 0.07/0.38 ( skv_52 ) 0.07/0.38 ( skv_54 ) 0.07/0.38 ( skv_55 ) 0.07/0.38 ( skv_56 ) 0.07/0.38 ( skv_57 ) 0.07/0.38 ( skv_58 ) 0.07/0.38 ( skv_59 ) 0.07/0.38 ( skv_60 ) 0.07/0.38 ( skv_61 ) 0.07/0.38 ( skv_62 ) 0.07/0.38 ) 0.07/0.38 (instantiation (forall ((A $$unsorted)) (or (empty_carrier A) (not (one_sorted_str A)) (not (forall ((B $$unsorted)) (or (empty B) (not (element B (powerset (the_carrier A))))) ))) ) 0.07/0.38 ( skv_1 ) 0.07/0.38 ( skv_3 ) 0.07/0.38 ( skv_5 ) 0.07/0.38 ( skv_6 ) 0.07/0.38 ( skv_9 ) 0.07/0.38 ( skv_10 ) 0.07/0.38 ( skv_15 ) 0.07/0.38 ( skv_16 ) 0.07/0.38 ( skv_28 ) 0.07/0.38 ( skv_29 ) 0.07/0.38 ( skv_30 ) 0.07/0.38 ) 0.07/0.38 (instantiation (forall ((A $$unsorted)) (or (not (preboolean A)) (and (cup_closed A) (diff_closed A))) ) 0.07/0.38 ( (powerset (the_carrier skv_5)) ) 0.07/0.38 ( (powerset skv_2) ) 0.07/0.38 ( (powerset skv_8) ) 0.07/0.38 ( (powerset (the_carrier skv_6)) ) 0.07/0.38 ( (powerset (the_carrier skv_9)) ) 0.07/0.38 ( (powerset (the_carrier skv_1)) ) 0.07/0.38 ( (powerset empty_set) ) 0.07/0.38 ( (powerset (lim_points_of_net skv_5 skv_6)) ) 0.07/0.38 ( (powerset skv_12) ) 0.07/0.38 ( (powerset skv_13) ) 0.07/0.38 ( (powerset skv_14) ) 0.07/0.38 ( (powerset skv_17) ) 0.07/0.38 ( (powerset skv_19) ) 0.07/0.38 ( (powerset skv_20) ) 0.07/0.38 ( (powerset (the_carrier skv_3)) ) 0.07/0.38 ( (powerset (the_carrier skv_10)) ) 0.07/0.38 ) 0.07/0.38 (instantiation (forall ((A $$unsorted)) (cup_closed (powerset A)) ) 0.07/0.38 ( empty_set ) 0.07/0.38 ( skv_2 ) 0.07/0.38 ( skv_7 ) 0.07/0.38 ( (the_carrier skv_5) ) 0.07/0.38 ( (lim_points_of_net skv_5 skv_6) ) 0.07/0.38 ( skv_8 ) 0.07/0.38 ( (the_carrier skv_1) ) 0.07/0.38 ( (the_carrier skv_9) ) 0.07/0.38 ( (the_carrier skv_6) ) 0.07/0.38 ( (powerset (the_carrier skv_5)) ) 0.07/0.38 ( (powerset skv_2) ) 0.07/0.38 ( (powerset skv_8) ) 0.07/0.39 ( (powerset (the_carrier skv_6)) ) 0.07/0.39 ( (powerset (the_carrier skv_9)) ) 0.07/0.39 ( (powerset (the_carrier skv_1)) ) 0.07/0.39 ( (powerset empty_set) ) 0.07/0.39 ( skv_12 ) 0.07/0.39 ( skv_13 ) 0.07/0.39 ( skv_14 ) 0.07/0.39 ( skv_17 ) 0.07/0.39 ( skv_19 ) 0.07/0.39 ( skv_20 ) 0.07/0.39 ( (the_carrier skv_3) ) 0.07/0.39 ( (the_carrier skv_10) ) 0.07/0.39 ( skv_21 ) 0.07/0.39 ( skv_22 ) 0.07/0.39 ( skv_23 ) 0.07/0.39 ( skv_24 ) 0.07/0.39 ( skv_25 ) 0.07/0.39 ( skv_26 ) 0.07/0.39 ( skv_27 ) 0.07/0.39 ( skv_31 ) 0.07/0.39 ( skv_32 ) 0.07/0.39 ( skv_33 ) 0.07/0.39 ( skv_34 ) 0.07/0.39 ( skv_35 ) 0.07/0.39 ( skv_36 ) 0.07/0.39 ( (the_carrier skv_15) ) 0.07/0.39 ( (the_carrier skv_16) ) 0.07/0.39 ) 0.07/0.39 (instantiation (forall ((A $$unsorted)) (diff_closed (powerset A)) ) 0.07/0.39 ( empty_set ) 0.07/0.39 ( skv_2 ) 0.07/0.39 ( skv_7 ) 0.07/0.39 ( (the_carrier skv_5) ) 0.07/0.39 ( (lim_points_of_net skv_5 skv_6) ) 0.07/0.39 ( skv_8 ) 0.07/0.39 ( (the_carrier skv_1) ) 0.07/0.39 ( (the_carrier skv_9) ) 0.07/0.39 ( (the_carrier skv_6) ) 0.07/0.39 ( (powerset (the_carrier skv_5)) ) 0.07/0.39 ( (powerset skv_2) ) 0.07/0.39 ( (powerset skv_8) ) 0.07/0.39 ( (powerset (the_carrier skv_6)) ) 0.07/0.39 ( (powerset (the_carrier skv_9)) ) 0.07/0.39 ( (powerset (the_carrier skv_1)) ) 0.07/0.39 ( (powerset empty_set) ) 0.07/0.39 ( skv_12 ) 0.07/0.39 ( skv_13 ) 0.07/0.39 ( skv_14 ) 0.07/0.39 ( skv_17 ) 0.07/0.39 ( skv_19 ) 0.07/0.39 ( skv_20 ) 0.07/0.39 ( (the_carrier skv_3) ) 0.07/0.39 ( (the_carrier skv_10) ) 0.07/0.39 ( skv_21 ) 0.07/0.39 ( skv_22 ) 0.07/0.39 ( skv_23 ) 0.07/0.39 ( skv_24 ) 0.07/0.39 ( skv_25 ) 0.07/0.39 ( skv_26 ) 0.07/0.39 ( skv_27 ) 0.07/0.39 ( skv_31 ) 0.07/0.39 ( skv_32 ) 0.07/0.39 ( skv_33 ) 0.07/0.39 ( skv_34 ) 0.07/0.39 ( skv_35 ) 0.07/0.39 ( skv_36 ) 0.07/0.39 ( (the_carrier skv_15) ) 0.07/0.39 ( (the_carrier skv_16) ) 0.07/0.39 ) 0.07/0.39 (instantiation (forall ((A $$unsorted)) (preboolean (powerset A)) ) 0.07/0.39 ( empty_set ) 0.07/0.39 ( skv_2 ) 0.07/0.39 ( skv_7 ) 0.07/0.39 ( (the_carrier skv_5) ) 0.07/0.39 ( (lim_points_of_net skv_5 skv_6) ) 0.07/0.39 ( skv_8 ) 0.07/0.39 ( (the_carrier skv_1) ) 0.07/0.39 ( (the_carrier skv_9) ) 0.07/0.39 ( (the_carrier skv_6) ) 0.07/0.39 ( (powerset (the_carrier skv_5)) ) 0.07/0.39 ( (powerset skv_2) ) 0.07/0.39 ( (powerset skv_8) ) 0.07/0.39 ( (powerset (the_carrier skv_6)) ) 0.07/0.39 ( (powerset (the_carrier skv_9)) ) 0.07/0.39 ( (powerset (the_carrier skv_1)) ) 0.07/0.39 ( (powerset empty_set) ) 0.07/0.39 ( skv_12 ) 0.07/0.39 ( skv_13 ) 0.07/0.39 ( skv_14 ) 0.07/0.39 ( skv_17 ) 0.07/0.39 ( skv_19 ) 0.07/0.39 ( skv_20 ) 0.07/0.39 ( (the_carrier skv_3) ) 0.07/0.39 ( (the_carrier skv_10) ) 0.07/0.39 ( skv_21 ) 0.07/0.39 ( skv_22 ) 0.07/0.39 ( skv_23 ) 0.07/0.39 ( skv_24 ) 0.07/0.39 ( skv_25 ) 0.07/0.39 ( skv_26 ) 0.07/0.39 ( skv_27 ) 0.07/0.39 ( skv_31 ) 0.07/0.39 ( skv_32 ) 0.07/0.39 ( skv_33 ) 0.07/0.39 ( skv_34 ) 0.07/0.39 ( skv_35 ) 0.07/0.39 ( skv_36 ) 0.07/0.39 ( (the_carrier skv_15) ) 0.07/0.39 ( (the_carrier skv_16) ) 0.07/0.39 ) 0.07/0.39 (instantiation (forall ((A $$unsorted)) (not (empty (powerset A))) ) 0.07/0.39 ( empty_set ) 0.07/0.39 ( skv_2 ) 0.07/0.39 ( skv_7 ) 0.07/0.39 ( (the_carrier skv_5) ) 0.07/0.39 ( (lim_points_of_net skv_5 skv_6) ) 0.07/0.39 ( skv_8 ) 0.07/0.39 ( (the_carrier skv_1) ) 0.07/0.39 ( (the_carrier skv_9) ) 0.07/0.39 ( (the_carrier skv_6) ) 0.07/0.39 ( (powerset (the_carrier skv_5)) ) 0.07/0.39 ( (powerset skv_2) ) 0.07/0.39 ( (powerset skv_8) ) 0.07/0.39 ( (powerset (the_carrier skv_6)) ) 0.07/0.39 ( (powerset (the_carrier skv_9)) ) 0.07/0.39 ( (powerset (the_carrier skv_1)) ) 0.07/0.39 ( (powerset empty_set) ) 0.07/0.39 ( skv_12 ) 0.07/0.39 ( skv_13 ) 0.07/0.39 ( skv_14 ) 0.07/0.39 ( skv_17 ) 0.07/0.39 ( skv_19 ) 0.07/0.39 ( skv_20 ) 0.07/0.39 ( (the_carrier skv_3) ) 0.07/0.39 ( (the_carrier skv_10) ) 0.07/0.39 ( skv_21 ) 0.07/0.39 ( skv_22 ) 0.07/0.39 ( skv_23 ) 0.07/0.39 ( skv_24 ) 0.07/0.39 ( skv_25 ) 0.07/0.39 ( skv_26 ) 0.07/0.39 ( skv_27 ) 0.07/0.39 ( skv_31 ) 0.07/0.39 ( skv_32 ) 0.07/0.39 ( skv_33 ) 0.07/0.39 ( skv_34 ) 0.07/0.39 ( skv_35 ) 0.07/0.39 ( skv_36 ) 0.07/0.39 ( (the_carrier skv_15) ) 0.07/0.39 ( (the_carrier skv_16) ) 0.07/0.39 ) 0.07/0.39 (instantiation (forall ((A $$unsorted) (BOUND_VARIABLE_1025 $$unsorted)) (or (not (finite A)) (not (element BOUND_VARIABLE_1025 (powerset A))) (finite BOUND_VARIABLE_1025)) ) 0.07/0.39 ( skv_2, skv_12 ) 0.07/0.39 ( skv_7, skv_60 ) 0.07/0.39 ( (the_carrier skv_5), (lim_points_of_net skv_5 skv_6) ) 0.07/0.39 ( (the_carrier skv_5), skv_11 ) 0.07/0.39 ( (the_carrier skv_5), skv_17 ) 0.07/0.39 ( (the_carrier skv_5), skv_18 ) 0.07/0.39 ( (the_carrier skv_5), skv_21 ) 0.07/0.39 ( (lim_points_of_net skv_5 skv_6), skv_22 ) 0.07/0.39 ( skv_8, skv_13 ) 0.07/0.39 ( (the_carrier skv_1), skv_19 ) 0.07/0.39 ( (the_carrier skv_1), skv_33 ) 0.07/0.39 ( (the_carrier skv_9), skv_14 ) 0.07/0.39 ( (the_carrier skv_9), skv_23 ) 0.07/0.39 ( (the_carrier skv_6), skv_20 ) 0.07/0.39 ( (the_carrier skv_6), skv_31 ) 0.07/0.39 ( (powerset (the_carrier skv_5)), skv_37 ) 0.07/0.39 ( (powerset skv_2), skv_38 ) 0.07/0.39 ( (powerset skv_8), skv_39 ) 0.07/0.39 ( (powerset (the_carrier skv_6)), skv_40 ) 0.07/0.39 ( (powerset (the_carrier skv_9)), skv_41 ) 0.07/0.39 ( (powerset (the_carrier skv_1)), skv_42 ) 0.07/0.39 ( (powerset empty_set), skv_43 ) 0.07/0.39 ( skv_12, skv_24 ) 0.07/0.39 ( skv_13, skv_25 ) 0.07/0.39 ( skv_14, skv_26 ) 0.07/0.39 ( skv_17, skv_27 ) 0.07/0.39 ( skv_19, skv_34 ) 0.07/0.39 ( skv_20, skv_32 ) 0.07/0.39 ( (the_carrier skv_3), skv_36 ) 0.07/0.39 ( (the_carrier skv_3), skv_62 ) 0.07/0.39 ( (the_carrier skv_10), skv_35 ) 0.07/0.39 ( (the_carrier skv_10), skv_61 ) 0.07/0.39 ( skv_21, skv_44 ) 0.07/0.39 ( skv_22, skv_45 ) 0.07/0.39 ( skv_23, skv_46 ) 0.07/0.39 ( skv_24, skv_47 ) 0.07/0.39 ( skv_25, skv_48 ) 0.07/0.39 ( skv_26, skv_49 ) 0.07/0.39 ( skv_27, skv_50 ) 0.07/0.39 ( skv_31, skv_51 ) 0.07/0.39 ( skv_32, skv_52 ) 0.07/0.39 ( skv_33, skv_54 ) 0.07/0.39 ( skv_34, skv_55 ) 0.07/0.39 ( skv_35, skv_56 ) 0.07/0.39 ( skv_36, skv_57 ) 0.07/0.39 ( (the_carrier skv_15), skv_59 ) 0.07/0.39 ( (the_carrier skv_16), skv_58 ) 0.07/0.39 ) 0.07/0.39 (instantiation (forall ((A $$unsorted)) (or (not (one_sorted_str A)) (not (forall ((B $$unsorted)) (not (net_str B A)) ))) ) 0.07/0.39 ( skv_1 ) 0.07/0.39 ( skv_3 ) 0.07/0.39 ( skv_5 ) 0.07/0.39 ( skv_6 ) 0.07/0.39 ( skv_9 ) 0.07/0.39 ( skv_10 ) 0.07/0.39 ( skv_15 ) 0.07/0.39 ( skv_16 ) 0.07/0.39 ) 0.07/0.39 (instantiation (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (in A B)) (not (empty C)) (not (element B (powerset C)))) ) 0.07/0.39 ( skv_7, (the_carrier skv_5), empty_set ) 0.07/0.39 ( skv_7, (the_carrier skv_5), skv_4 ) 0.07/0.39 ( skv_7, (lim_points_of_net skv_5 skv_6), empty_set ) 0.07/0.39 ( skv_7, (lim_points_of_net skv_5 skv_6), skv_4 ) 0.07/0.39 ( (lim_points_of_net skv_5 skv_6), (powerset (the_carrier skv_5)), empty_set ) 0.07/0.39 ( (lim_points_of_net skv_5 skv_6), (powerset (the_carrier skv_5)), skv_4 ) 0.07/0.39 ( skv_12, (powerset skv_2), empty_set ) 0.07/0.39 ) 0.07/0.39 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (empty A)) (= A B) (not (empty B))) ) 0.07/0.39 ( empty_set, empty_set ) 0.07/0.39 ( empty_set, skv_4 ) 0.07/0.39 ( skv_4, empty_set ) 0.07/0.39 ( skv_4, skv_4 ) 0.07/0.39 ) 0.07/0.39 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (in A B)) (element A B)) ) 0.07/0.39 ( skv_7, empty_set ) 0.07/0.39 ( skv_7, (the_carrier skv_5) ) 0.07/0.39 ( skv_7, (lim_points_of_net skv_5 skv_6) ) 0.07/0.39 ( (the_carrier skv_5), skv_7 ) 0.07/0.39 ( (the_carrier skv_5), (powerset (the_carrier skv_5)) ) 0.07/0.39 ( (the_carrier skv_5), (powerset empty_set) ) 0.07/0.39 ( (lim_points_of_net skv_5 skv_6), skv_2 ) 0.07/0.39 ( (lim_points_of_net skv_5 skv_6), skv_7 ) 0.07/0.39 ( (lim_points_of_net skv_5 skv_6), (powerset (the_carrier skv_5)) ) 0.07/0.39 ( (lim_points_of_net skv_5 skv_6), (powerset empty_set) ) 0.07/0.39 ( (powerset (the_carrier skv_5)), (powerset skv_2) ) 0.07/0.39 ( (powerset (the_carrier skv_5)), (powerset (the_carrier skv_6)) ) 0.07/0.39 ( (powerset (the_carrier skv_5)), (powerset empty_set) ) 0.07/0.39 ( (powerset skv_2), (powerset skv_8) ) 0.07/0.39 ( (powerset skv_8), (powerset (the_carrier skv_9)) ) 0.07/0.39 ( (powerset (the_carrier skv_6)), (powerset skv_12) ) 0.07/0.39 ( (powerset (the_carrier skv_9)), (powerset (the_carrier skv_1)) ) 0.07/0.39 ( (powerset (the_carrier skv_1)), (powerset (lim_points_of_net skv_5 skv_6)) ) 0.07/0.39 ( skv_11, (powerset (the_carrier skv_5)) ) 0.07/0.39 ( skv_12, skv_8 ) 0.07/0.39 ( skv_12, (powerset skv_2) ) 0.07/0.39 ( skv_13, (the_carrier skv_9) ) 0.07/0.39 ( skv_13, (powerset skv_8) ) 0.07/0.39 ( skv_14, (the_carrier skv_1) ) 0.07/0.39 ( skv_14, (powerset (the_carrier skv_9)) ) 0.07/0.39 ( skv_17, (the_carrier skv_6) ) 0.07/0.39 ( skv_17, (powerset (the_carrier skv_5)) ) 0.07/0.39 ( skv_18, (powerset (the_carrier skv_5)) ) 0.07/0.39 ( skv_19, (lim_points_of_net skv_5 skv_6) ) 0.07/0.39 ( skv_19, (powerset (the_carrier skv_1)) ) 0.07/0.39 ( skv_20, (powerset (the_carrier skv_6)) ) 0.07/0.39 ( skv_20, skv_12 ) 0.07/0.39 ( (lim_points_of_net skv_1 skv_15), (powerset (the_carrier skv_1)) ) 0.07/0.39 ( (lim_points_of_net skv_9 skv_16), (powerset (the_carrier skv_9)) ) 0.07/0.39 ( skv_21, (powerset (the_carrier skv_5)) ) 0.07/0.39 ( skv_22, (powerset (lim_points_of_net skv_5 skv_6)) ) 0.07/0.39 ( skv_23, (powerset (the_carrier skv_9)) ) 0.07/0.39 ( skv_24, (powerset skv_12) ) 0.07/0.39 ( skv_25, (powerset skv_13) ) 0.07/0.39 ( skv_26, (powerset skv_14) ) 0.07/0.39 ( skv_27, (powerset skv_17) ) 0.07/0.39 ( skv_31, (powerset (the_carrier skv_6)) ) 0.07/0.39 ( skv_32, (powerset skv_20) ) 0.07/0.39 ( skv_33, (powerset (the_carrier skv_1)) ) 0.07/0.39 ( skv_34, (powerset skv_19) ) 0.07/0.39 ( skv_35, (powerset (the_carrier skv_10)) ) 0.07/0.39 ( skv_36, (powerset (the_carrier skv_3)) ) 0.07/0.39 ( (lim_points_of_net skv_3 skv_28), (powerset (the_carrier skv_3)) ) 0.07/0.39 ( (lim_points_of_net skv_5 skv_29), (powerset (the_carrier skv_5)) ) 0.07/0.39 ( (lim_points_of_net skv_10 skv_30), (powerset (the_carrier skv_10)) ) 0.07/0.39 ) 0.07/0.39 (instantiation (forall ((A $$unsorted)) (or (not (empty A)) (= empty_set A)) ) 0.07/0.39 ( empty_set ) 0.07/0.39 ( skv_4 ) 0.07/0.39 ) 0.07/0.39 (instantiation (let ((_let_0 (the_carrier A))) (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1101 $$unsorted)) (or (not (topological_space A)) (not (top_str A)) (not (element B _let_0)) (empty_carrier A) (not (point_neighbourhood BOUND_VARIABLE_1101 A B)) (element BOUND_VARIABLE_1101 (powerset _let_0))) )) 0.07/0.39 ( skv_5, skv_7, skv_11 ) 0.07/0.39 ( skv_5, skv_7, skv_18 ) 0.07/0.39 ) 0.07/0.39 (instantiation (forall ((A $$unsorted) (BOUND_VARIABLE_1119 $$unsorted)) (or (not (one_sorted_str A)) (not (net_str BOUND_VARIABLE_1119 A)) (rel_str BOUND_VARIABLE_1119)) ) 0.07/0.39 ( skv_1, skv_15 ) 0.07/0.39 ( skv_3, skv_28 ) 0.07/0.39 ( skv_5, skv_6 ) 0.07/0.39 ( skv_5, skv_29 ) 0.07/0.39 ( skv_6, skv_53 ) 0.07/0.39 ( skv_9, skv_16 ) 0.07/0.39 ( skv_10, skv_30 ) 0.07/0.39 ) 0.07/0.39 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (in A B)) (not (in B A))) ) 0.07/0.39 ( skv_7, (the_carrier skv_5) ) 0.07/0.39 ( skv_7, (lim_points_of_net skv_5 skv_6) ) 0.07/0.39 ( (the_carrier skv_5), skv_7 ) 0.07/0.39 ( (lim_points_of_net skv_5 skv_6), skv_7 ) 0.07/0.39 ( (lim_points_of_net skv_5 skv_6), (powerset (the_carrier skv_5)) ) 0.07/0.39 ( (powerset (the_carrier skv_5)), (lim_points_of_net skv_5 skv_6) ) 0.07/0.39 ( (powerset (the_carrier skv_5)), skv_11 ) 0.07/0.39 ( (powerset (the_carrier skv_5)), skv_17 ) 0.07/0.39 ( (powerset (the_carrier skv_5)), skv_18 ) 0.07/0.39 ( (powerset (the_carrier skv_5)), skv_21 ) 0.07/0.39 ( (powerset skv_2), skv_12 ) 0.07/0.39 ( (powerset skv_8), skv_13 ) 0.07/0.39 ( (powerset (the_carrier skv_6)), skv_20 ) 0.07/0.39 ( (powerset (the_carrier skv_6)), skv_31 ) 0.07/0.39 ( (powerset (the_carrier skv_9)), skv_14 ) 0.07/0.39 ( (powerset (the_carrier skv_9)), skv_23 ) 0.07/0.39 ( (powerset (the_carrier skv_1)), skv_19 ) 0.07/0.39 ( (powerset (the_carrier skv_1)), skv_33 ) 0.07/0.39 ( skv_11, (powerset (the_carrier skv_5)) ) 0.07/0.39 ( skv_12, (powerset skv_2) ) 0.07/0.39 ( skv_13, (powerset skv_8) ) 0.07/0.39 ( skv_14, (powerset (the_carrier skv_9)) ) 0.07/0.39 ( skv_17, (powerset (the_carrier skv_5)) ) 0.07/0.39 ( skv_18, (powerset (the_carrier skv_5)) ) 0.07/0.39 ( skv_19, (powerset (the_carrier skv_1)) ) 0.07/0.39 ( skv_20, (powerset (the_carrier skv_6)) ) 0.07/0.39 ( (powerset (lim_points_of_net skv_5 skv_6)), skv_22 ) 0.07/0.39 ( (powerset skv_12), skv_24 ) 0.07/0.39 ( (powerset skv_13), skv_25 ) 0.07/0.39 ( (powerset skv_14), skv_26 ) 0.07/0.39 ( (powerset skv_17), skv_27 ) 0.07/0.39 ( (powerset skv_19), skv_34 ) 0.07/0.39 ( (powerset skv_20), skv_32 ) 0.07/0.39 ( (powerset (the_carrier skv_3)), skv_36 ) 0.07/0.39 ( (powerset (the_carrier skv_10)), skv_35 ) 0.07/0.39 ( skv_21, (powerset (the_carrier skv_5)) ) 0.07/0.39 ( skv_22, (powerset (lim_points_of_net skv_5 skv_6)) ) 0.07/0.39 ( skv_23, (powerset (the_carrier skv_9)) ) 0.07/0.39 ( skv_24, (powerset skv_12) ) 0.07/0.39 ( skv_25, (powerset skv_13) ) 0.07/0.39 ( skv_26, (powerset skv_14) ) 0.07/0.39 ( skv_27, (powerset skv_17) ) 0.07/0.39 ( skv_31, (powerset (the_carrier skv_6)) ) 0.07/0.39 ( skv_32, (powerset skv_20) ) 0.07/0.39 ( skv_33, (powerset (the_carrier skv_1)) ) 0.07/0.39 ( skv_34, (powerset skv_19) ) 0.07/0.39 ( skv_35, (powerset (the_carrier skv_10)) ) 0.07/0.39 ( skv_36, (powerset (the_carrier skv_3)) ) 0.07/0.39 ) 0.07/0.39 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (empty B)) (not (in A B))) ) 0.07/0.39 ( skv_7, (the_carrier skv_5) ) 0.07/0.39 ( skv_7, (lim_points_of_net skv_5 skv_6) ) 0.07/0.39 ( (lim_points_of_net skv_5 skv_6), (powerset (the_carrier skv_5)) ) 0.07/0.39 ( skv_11, (powerset (the_carrier skv_5)) ) 0.07/0.39 ( skv_12, (powerset skv_2) ) 0.07/0.39 ( skv_13, (powerset skv_8) ) 0.07/0.39 ( skv_14, (powerset (the_carrier skv_9)) ) 0.07/0.39 ( skv_17, (powerset (the_carrier skv_5)) ) 0.07/0.39 ( skv_18, (powerset (the_carrier skv_5)) ) 0.07/0.39 ( skv_19, (powerset (the_carrier skv_1)) ) 0.07/0.39 ( skv_20, (powerset (the_carrier skv_6)) ) 0.07/0.39 ( skv_21, (powerset (the_carrier skv_5)) ) 0.07/0.39 ( skv_22, (powerset (lim_points_of_net skv_5 skv_6)) ) 0.07/0.39 ( skv_23, (powerset (the_carrier skv_9)) ) 0.07/0.39 ( skv_24, (powerset skv_12) ) 0.07/0.39 ( skv_25, (powerset skv_13) ) 0.07/0.39 ( skv_26, (powerset skv_14) ) 0.07/0.39 ( skv_27, (powerset skv_17) ) 0.07/0.39 ( skv_31, (powerset (the_carrier skv_6)) ) 0.07/0.39 ( skv_32, (powerset skv_20) ) 0.07/0.39 ( skv_33, (powerset (the_carrier skv_1)) ) 0.07/0.39 ( skv_34, (powerset skv_19) ) 0.07/0.39 ( skv_35, (powerset (the_carrier skv_10)) ) 0.07/0.39 ( skv_36, (powerset (the_carrier skv_3)) ) 0.07/0.39 ) 0.07/0.39 (instantiation (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (in A B)) (not (element B (powerset C))) (element A C)) ) 0.07/0.39 ( skv_7, (the_carrier skv_5), empty_set ) 0.07/0.39 ( skv_7, (the_carrier skv_5), (the_carrier skv_5) ) 0.07/0.39 ( skv_7, (the_carrier skv_5), skv_8 ) 0.07/0.39 ( skv_7, (lim_points_of_net skv_5 skv_6), empty_set ) 0.07/0.39 ( skv_7, (lim_points_of_net skv_5 skv_6), skv_2 ) 0.07/0.39 ( skv_7, (lim_points_of_net skv_5 skv_6), (the_carrier skv_5) ) 0.07/0.39 ( (lim_points_of_net skv_5 skv_6), (powerset (the_carrier skv_5)), skv_2 ) 0.07/0.39 ( (lim_points_of_net skv_5 skv_6), (powerset (the_carrier skv_5)), (the_carrier skv_5) ) 0.07/0.39 ( skv_11, (powerset (the_carrier skv_5)), skv_12 ) 0.07/0.39 ( skv_12, (powerset skv_2), empty_set ) 0.07/0.39 ( skv_12, (powerset skv_2), skv_8 ) 0.07/0.39 ( skv_13, (powerset skv_8), (the_carrier skv_1) ) 0.07/0.39 ( skv_13, (powerset skv_8), (the_carrier skv_9) ) 0.07/0.39 ( skv_14, (powerset (the_carrier skv_9)), (the_carrier skv_1) ) 0.07/0.39 ( skv_14, (powerset (the_carrier skv_9)), (the_carrier skv_9) ) 0.07/0.39 ( skv_17, (powerset (the_carrier skv_5)), (lim_points_of_net skv_5 skv_6) ) 0.07/0.39 ( skv_17, (powerset (the_carrier skv_5)), (the_carrier skv_6) ) 0.07/0.39 ( skv_18, (powerset (the_carrier skv_5)), skv_14 ) 0.07/0.39 ( skv_19, (powerset (the_carrier skv_1)), (lim_points_of_net skv_5 skv_6) ) 0.07/0.39 ( skv_19, (powerset (the_carrier skv_1)), (the_carrier skv_6) ) 0.07/0.39 ( skv_20, (powerset (the_carrier skv_6)), skv_12 ) 0.07/0.39 ( skv_20, (powerset (the_carrier skv_6)), skv_13 ) 0.07/0.39 ( skv_21, (powerset (the_carrier skv_5)), skv_17 ) 0.07/0.39 ( skv_22, (powerset (lim_points_of_net skv_5 skv_6)), skv_20 ) 0.07/0.39 ( skv_23, (powerset (the_carrier skv_9)), skv_19 ) 0.07/0.39 ( skv_24, (powerset skv_12), (the_carrier skv_10) ) 0.07/0.39 ( skv_25, (powerset skv_13), (the_carrier skv_3) ) 0.07/0.39 ( skv_26, (powerset skv_14), (powerset (the_carrier skv_5)) ) 0.07/0.39 ( skv_27, (powerset skv_17), (powerset skv_2) ) 0.07/0.39 ( skv_31, (powerset (the_carrier skv_6)), (powerset skv_8) ) 0.07/0.39 ( skv_32, (powerset skv_20), (powerset (the_carrier skv_6)) ) 0.07/0.39 ( skv_33, (powerset (the_carrier skv_1)), (powerset (the_carrier skv_9)) ) 0.07/0.39 ( skv_34, (powerset skv_19), (powerset (the_carrier skv_1)) ) 0.07/0.39 ( skv_35, (powerset (the_carrier skv_10)), (powerset empty_set) ) 0.07/0.39 ( skv_36, (powerset (the_carrier skv_3)), skv_21 ) 0.07/0.39 ) 0.07/0.39 (instantiation (forall ((A $$unsorted) (BOUND_VARIABLE_1184 $$unsorted) (BOUND_VARIABLE_1185 $$unsorted)) (or (empty_carrier A) (not (topological_space A)) (not (top_str A)) (empty_carrier BOUND_VARIABLE_1184) (not (net_str BOUND_VARIABLE_1184 A)) (not (element BOUND_VARIABLE_1185 (the_carrier A))) (= (is_a_cluster_point_of_netstr A BOUND_VARIABLE_1184 BOUND_VARIABLE_1185) (forall ((D $$unsorted)) (or (not (point_neighbourhood D A BOUND_VARIABLE_1185)) (is_often_in A BOUND_VARIABLE_1184 D)) ))) ) 0.07/0.39 ( skv_5, skv_6, skv_7 ) 0.07/0.39 ) 0.07/0.39 (instantiation (forall ((D $$unsorted)) (or (not (element D (the_carrier skv_5))) (= (forall ((E $$unsorted)) (or (not (point_neighbourhood E skv_5 D)) (is_eventually_in skv_5 skv_6 E)) ) (in D (lim_points_of_net skv_5 skv_6)))) ) 0.07/0.39 ( skv_7 ) 0.07/0.39 ( (powerset (the_carrier skv_5)) ) 0.07/0.39 ) 0.07/0.39 (instantiation (forall ((D $$unsorted)) (or (not (element D (the_carrier skv_9))) (= (forall ((E $$unsorted)) (or (not (point_neighbourhood E skv_9 D)) (is_eventually_in skv_9 skv_6 E)) ) (in D skv_14))) ) 0.07/0.39 ( (powerset (the_carrier skv_9)) ) 0.07/0.39 ) 0.07/0.39 (instantiation (forall ((E $$unsorted)) (or (not (point_neighbourhood E skv_5 skv_7)) (is_eventually_in skv_5 skv_6 E)) ) 0.07/0.39 ( skv_11 ) 0.07/0.39 ( skv_18 ) 0.07/0.39 ) 0.07/0.39 % SZS output end Proof for theBenchmark 0.20/0.48 EOF