TSTP Solution File: SEU316+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU316+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:15:37 EDT 2022
% Result : Timeout 299.88s 300.02s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU316+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 07:59:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.27/2.44 ----- Otter 3.3f, August 2004 -----
% 2.27/2.44 The process was started by sandbox on n026.cluster.edu,
% 2.27/2.44 Wed Jul 27 07:59:54 2022
% 2.27/2.44 The command was "./otter". The process ID is 3050.
% 2.27/2.44
% 2.27/2.44 set(prolog_style_variables).
% 2.27/2.44 set(auto).
% 2.27/2.44 dependent: set(auto1).
% 2.27/2.44 dependent: set(process_input).
% 2.27/2.44 dependent: clear(print_kept).
% 2.27/2.44 dependent: clear(print_new_demod).
% 2.27/2.44 dependent: clear(print_back_demod).
% 2.27/2.44 dependent: clear(print_back_sub).
% 2.27/2.44 dependent: set(control_memory).
% 2.27/2.44 dependent: assign(max_mem, 12000).
% 2.27/2.44 dependent: assign(pick_given_ratio, 4).
% 2.27/2.44 dependent: assign(stats_level, 1).
% 2.27/2.44 dependent: assign(max_seconds, 10800).
% 2.27/2.44 clear(print_given).
% 2.27/2.44
% 2.27/2.44 formula_list(usable).
% 2.27/2.44 all A (A=A).
% 2.27/2.44 all A B (in(A,B)-> -in(B,A)).
% 2.27/2.44 all A (v1_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)))).
% 2.27/2.44 all A (v2_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)))).
% 2.27/2.44 all A (v3_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)&v1_rat_1(B)))).
% 2.27/2.44 all A (v4_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)&v1_int_1(B)&v1_rat_1(B)))).
% 2.27/2.44 all A (v5_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&natural(B)&v1_xreal_0(B)&v1_int_1(B)&v1_rat_1(B)))).
% 2.27/2.44 all A (empty(A)->v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 2.27/2.44 all A (v1_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)))).
% 2.27/2.44 all A (v2_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)))).
% 2.27/2.44 all A (v3_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)))).
% 2.27/2.44 all A (v4_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)))).
% 2.27/2.44 all A (v5_membered(A)->v4_membered(A)).
% 2.27/2.44 all A (v5_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)&v5_membered(B)))).
% 2.27/2.44 all A (v4_membered(A)->v3_membered(A)).
% 2.27/2.44 all A (v3_membered(A)->v2_membered(A)).
% 2.27/2.44 all A (v2_membered(A)->v1_membered(A)).
% 2.27/2.44 all A B ((A!=empty_set-> (B=set_meet(A)<-> (all C (in(C,B)<-> (all D (in(D,A)->in(C,D)))))))& (A=empty_set-> (B=set_meet(A)<->B=empty_set))).
% 2.27/2.44 all A (one_sorted_str(A)->cast_as_carrier_subset(A)=the_carrier(A)).
% 2.27/2.44 $T.
% 2.27/2.44 $T.
% 2.27/2.44 $T.
% 2.27/2.44 all A (one_sorted_str(A)->element(cast_as_carrier_subset(A),powerset(the_carrier(A)))).
% 2.27/2.44 all A B (top_str(A)&element(B,powerset(the_carrier(A)))->element(topstr_closure(A,B),powerset(the_carrier(A)))).
% 2.27/2.44 all A B (element(B,powerset(powerset(A)))->element(meet_of_subsets(A,B),powerset(A))).
% 2.27/2.44 all A (top_str(A)->one_sorted_str(A)).
% 2.27/2.44 $T.
% 2.27/2.44 $T.
% 2.27/2.44 $T.
% 2.27/2.44 exists A top_str(A).
% 2.27/2.44 exists A one_sorted_str(A).
% 2.27/2.44 all A exists B element(B,A).
% 2.27/2.44 all A (-empty(powerset(A))).
% 2.27/2.44 all A (topological_space(A)&top_str(A)->closed_subset(cast_as_carrier_subset(A),A)).
% 2.27/2.44 empty(empty_set).
% 2.27/2.44 v1_membered(empty_set).
% 2.27/2.44 v2_membered(empty_set).
% 2.27/2.44 v3_membered(empty_set).
% 2.27/2.44 v4_membered(empty_set).
% 2.27/2.44 v5_membered(empty_set).
% 2.27/2.44 exists A (-empty(A)&v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 2.27/2.44 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.27/2.44 all A exists B (element(B,powerset(A))&empty(B)).
% 2.27/2.44 all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&closed_subset(B,A)))).
% 2.27/2.44 all A B (element(B,powerset(powerset(A)))->meet_of_subsets(A,B)=set_meet(B)).
% 2.27/2.44 all A B subset(A,A).
% 2.27/2.44 all A B (topological_space(A)&top_str(A)&element(B,powerset(the_carrier(A)))-> (exists C (element(C,powerset(powerset(the_carrier(A))))& (all D (element(D,powerset(the_carrier(A)))-> (in(D,C)<-> (exists E (element(E,powerset(the_carrier(A)))&E=D&closed_subset(E,A)&subset(B,D))))))))).
% 2.27/2.44 all A B (in(A,B)->element(A,B)).
% 2.27/2.44 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.27/2.44 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 2.27/2.44 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.27/2.44 all A (top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (all C (in(C,the_carrier(A))-> (in(C,topstr_closure(A,B))<-> (all D (element(D,powerset(the_carrier(A)))-> (closed_subset(D,A)&subset(B,D)->in(C,D)))))))))).
% 2.27/2.44 -(all A (topological_space(A)&top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (exists C (element(C,powerset(powerset(the_carrier(A))))& (all D (element(D,powerset(the_carrier(A)))-> (in(D,C)<->closed_subset(D,A)&subset(B,D))))&topstr_closure(A,B)=meet_of_subsets(the_carrier(A),C))))))).
% 2.27/2.44 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.27/2.44 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.27/2.44 all A (empty(A)->A=empty_set).
% 2.27/2.44 all A B (-(in(A,B)&empty(B))).
% 2.27/2.44 all A B (-(empty(A)&A!=B&empty(B))).
% 2.27/2.44 end_of_list.
% 2.27/2.44
% 2.27/2.44 -------> usable clausifies to:
% 2.27/2.44
% 2.27/2.44 list(usable).
% 2.27/2.44 0 [] A=A.
% 2.27/2.44 0 [] -in(A,B)| -in(B,A).
% 2.27/2.44 0 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.27/2.44 0 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.27/2.44 0 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.27/2.44 0 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.27/2.44 0 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.27/2.44 0 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.27/2.44 0 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.27/2.44 0 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.27/2.44 0 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 2.27/2.44 0 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.27/2.44 0 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.27/2.44 0 [] -v5_membered(A)| -element(B,A)|natural(B).
% 2.27/2.45 0 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.27/2.45 0 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 2.27/2.45 0 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.27/2.45 0 [] -empty(A)|v1_membered(A).
% 2.27/2.45 0 [] -empty(A)|v2_membered(A).
% 2.27/2.45 0 [] -empty(A)|v3_membered(A).
% 2.27/2.45 0 [] -empty(A)|v4_membered(A).
% 2.27/2.45 0 [] -empty(A)|v5_membered(A).
% 2.27/2.45 0 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.27/2.45 0 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.27/2.45 0 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.27/2.45 0 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.27/2.45 0 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.27/2.45 0 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.27/2.45 0 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.27/2.45 0 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.27/2.45 0 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.27/2.45 0 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.27/2.45 0 [] -v5_membered(A)|v4_membered(A).
% 2.27/2.45 0 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.27/2.45 0 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.27/2.45 0 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.27/2.45 0 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.27/2.45 0 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 2.27/2.45 0 [] -v4_membered(A)|v3_membered(A).
% 2.27/2.45 0 [] -v3_membered(A)|v2_membered(A).
% 2.27/2.45 0 [] -v2_membered(A)|v1_membered(A).
% 2.27/2.45 0 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 2.27/2.45 0 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f1(A,B,C),A).
% 2.27/2.45 0 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f1(A,B,C)).
% 2.27/2.45 0 [] A=empty_set|B=set_meet(A)|in($f3(A,B),B)| -in(X1,A)|in($f3(A,B),X1).
% 2.27/2.45 0 [] A=empty_set|B=set_meet(A)| -in($f3(A,B),B)|in($f2(A,B),A).
% 2.27/2.45 0 [] A=empty_set|B=set_meet(A)| -in($f3(A,B),B)| -in($f3(A,B),$f2(A,B)).
% 2.27/2.45 0 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 2.27/2.45 0 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 2.27/2.45 0 [] -one_sorted_str(A)|cast_as_carrier_subset(A)=the_carrier(A).
% 2.27/2.45 0 [] $T.
% 2.27/2.45 0 [] $T.
% 2.27/2.45 0 [] $T.
% 2.27/2.45 0 [] -one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))).
% 2.27/2.45 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(topstr_closure(A,B),powerset(the_carrier(A))).
% 2.27/2.45 0 [] -element(B,powerset(powerset(A)))|element(meet_of_subsets(A,B),powerset(A)).
% 2.27/2.45 0 [] -top_str(A)|one_sorted_str(A).
% 2.27/2.45 0 [] $T.
% 2.27/2.45 0 [] $T.
% 2.27/2.45 0 [] $T.
% 2.27/2.45 0 [] top_str($c1).
% 2.27/2.45 0 [] one_sorted_str($c2).
% 2.27/2.45 0 [] element($f4(A),A).
% 2.27/2.45 0 [] -empty(powerset(A)).
% 2.27/2.45 0 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 2.27/2.45 0 [] empty(empty_set).
% 2.27/2.45 0 [] v1_membered(empty_set).
% 2.27/2.45 0 [] v2_membered(empty_set).
% 2.27/2.45 0 [] v3_membered(empty_set).
% 2.27/2.45 0 [] v4_membered(empty_set).
% 2.27/2.45 0 [] v5_membered(empty_set).
% 2.27/2.45 0 [] -empty($c3).
% 2.27/2.45 0 [] v1_membered($c3).
% 2.27/2.45 0 [] v2_membered($c3).
% 2.27/2.45 0 [] v3_membered($c3).
% 2.27/2.45 0 [] v4_membered($c3).
% 2.27/2.45 0 [] v5_membered($c3).
% 2.27/2.45 0 [] empty(A)|element($f5(A),powerset(A)).
% 2.27/2.45 0 [] empty(A)| -empty($f5(A)).
% 2.27/2.45 0 [] element($f6(A),powerset(A)).
% 2.27/2.45 0 [] empty($f6(A)).
% 2.27/2.45 0 [] -topological_space(A)| -top_str(A)|element($f7(A),powerset(the_carrier(A))).
% 2.27/2.45 0 [] -topological_space(A)| -top_str(A)|closed_subset($f7(A),A).
% 2.27/2.45 0 [] -element(B,powerset(powerset(A)))|meet_of_subsets(A,B)=set_meet(B).
% 2.27/2.45 0 [] subset(A,A).
% 2.27/2.45 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|element($f9(A,B),powerset(powerset(the_carrier(A)))).
% 2.27/2.45 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(D,powerset(the_carrier(A)))| -in(D,$f9(A,B))|element($f8(A,B,D),powerset(the_carrier(A))).
% 2.27/2.45 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(D,powerset(the_carrier(A)))| -in(D,$f9(A,B))|$f8(A,B,D)=D.
% 2.27/2.45 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(D,powerset(the_carrier(A)))| -in(D,$f9(A,B))|closed_subset($f8(A,B,D),A).
% 2.27/2.45 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(D,powerset(the_carrier(A)))| -in(D,$f9(A,B))|subset(B,D).
% 2.27/2.45 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(D,powerset(the_carrier(A)))|in(D,$f9(A,B))| -element(E,powerset(the_carrier(A)))|E!=D| -closed_subset(E,A)| -subset(B,D).
% 2.27/2.45 0 [] -in(A,B)|element(A,B).
% 2.27/2.45 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.27/2.45 0 [] in($f10(A,B),A)|in($f10(A,B),B)|A=B.
% 2.27/2.45 0 [] -in($f10(A,B),A)| -in($f10(A,B),B)|A=B.
% 2.27/2.45 0 [] -element(A,powerset(B))|subset(A,B).
% 2.27/2.45 0 [] element(A,powerset(B))| -subset(A,B).
% 2.27/2.45 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -in(C,the_carrier(A))| -in(C,topstr_closure(A,B))| -element(D,powerset(the_carrier(A)))| -closed_subset(D,A)| -subset(B,D)|in(C,D).
% 2.27/2.45 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -in(C,the_carrier(A))|in(C,topstr_closure(A,B))|element($f11(A,B,C),powerset(the_carrier(A))).
% 2.27/2.45 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -in(C,the_carrier(A))|in(C,topstr_closure(A,B))|closed_subset($f11(A,B,C),A).
% 2.27/2.45 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -in(C,the_carrier(A))|in(C,topstr_closure(A,B))|subset(B,$f11(A,B,C)).
% 2.27/2.45 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -in(C,the_carrier(A))|in(C,topstr_closure(A,B))| -in(C,$f11(A,B,C)).
% 2.27/2.45 0 [] topological_space($c5).
% 2.27/2.45 0 [] top_str($c5).
% 2.27/2.45 0 [] element($c4,powerset(the_carrier($c5))).
% 2.27/2.45 0 [] -element(C,powerset(powerset(the_carrier($c5))))|element($f12(C),powerset(the_carrier($c5)))|topstr_closure($c5,$c4)!=meet_of_subsets(the_carrier($c5),C).
% 2.27/2.45 0 [] -element(C,powerset(powerset(the_carrier($c5))))|in($f12(C),C)|closed_subset($f12(C),$c5)|topstr_closure($c5,$c4)!=meet_of_subsets(the_carrier($c5),C).
% 2.27/2.45 0 [] -element(C,powerset(powerset(the_carrier($c5))))|in($f12(C),C)|subset($c4,$f12(C))|topstr_closure($c5,$c4)!=meet_of_subsets(the_carrier($c5),C).
% 2.27/2.45 0 [] -element(C,powerset(powerset(the_carrier($c5))))| -in($f12(C),C)| -closed_subset($f12(C),$c5)| -subset($c4,$f12(C))|topstr_closure($c5,$c4)!=meet_of_subsets(the_carrier($c5),C).
% 2.27/2.45 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.27/2.45 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.27/2.45 0 [] -empty(A)|A=empty_set.
% 2.27/2.45 0 [] -in(A,B)| -empty(B).
% 2.27/2.45 0 [] -empty(A)|A=B| -empty(B).
% 2.27/2.45 end_of_list.
% 2.27/2.45
% 2.27/2.45 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 2.27/2.45
% 2.27/2.45 This ia a non-Horn set with equality. The strategy will be
% 2.27/2.45 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.27/2.45 deletion, with positive clauses in sos and nonpositive
% 2.27/2.45 clauses in usable.
% 2.27/2.45
% 2.27/2.45 dependent: set(knuth_bendix).
% 2.27/2.45 dependent: set(anl_eq).
% 2.27/2.45 dependent: set(para_from).
% 2.27/2.45 dependent: set(para_into).
% 2.27/2.45 dependent: clear(para_from_right).
% 2.27/2.45 dependent: clear(para_into_right).
% 2.27/2.45 dependent: set(para_from_vars).
% 2.27/2.45 dependent: set(eq_units_both_ways).
% 2.27/2.45 dependent: set(dynamic_demod_all).
% 2.27/2.45 dependent: set(dynamic_demod).
% 2.27/2.45 dependent: set(order_eq).
% 2.27/2.45 dependent: set(back_demod).
% 2.27/2.45 dependent: set(lrpo).
% 2.27/2.45 dependent: set(hyper_res).
% 2.27/2.45 dependent: set(unit_deletion).
% 2.27/2.45 dependent: set(factor).
% 2.27/2.45
% 2.27/2.45 ------------> process usable:
% 2.27/2.45 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 2.27/2.45 ** KEPT (pick-wt=7): 2 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.27/2.45 ** KEPT (pick-wt=7): 3 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.27/2.45 ** KEPT (pick-wt=7): 4 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.27/2.45 ** KEPT (pick-wt=7): 5 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.27/2.45 ** KEPT (pick-wt=7): 6 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.27/2.45 ** KEPT (pick-wt=7): 7 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.27/2.45 ** KEPT (pick-wt=7): 8 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.27/2.45 ** KEPT (pick-wt=7): 9 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.27/2.45 ** KEPT (pick-wt=7): 10 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 2.27/2.45 ** KEPT (pick-wt=7): 11 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.27/2.45 ** KEPT (pick-wt=7): 12 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.27/2.45 ** KEPT (pick-wt=7): 13 [] -v5_membered(A)| -element(B,A)|natural(B).
% 2.27/2.45 ** KEPT (pick-wt=7): 14 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.27/2.45 ** KEPT (pick-wt=7): 15 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 2.27/2.45 ** KEPT (pick-wt=7): 16 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.27/2.45 ** KEPT (pick-wt=4): 17 [] -empty(A)|v1_membered(A).
% 2.27/2.45 ** KEPT (pick-wt=4): 18 [] -empty(A)|v2_membered(A).
% 2.27/2.45 ** KEPT (pick-wt=4): 19 [] -empty(A)|v3_membered(A).
% 2.27/2.45 ** KEPT (pick-wt=4): 20 [] -empty(A)|v4_membered(A).
% 2.27/2.45 ** KEPT (pick-wt=4): 21 [] -empty(A)|v5_membered(A).
% 2.27/2.45 ** KEPT (pick-wt=8): 22 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.27/2.45 ** KEPT (pick-wt=8): 23 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.27/2.45 ** KEPT (pick-wt=8): 24 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.27/2.45 ** KEPT (pick-wt=8): 25 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.27/2.45 ** KEPT (pick-wt=8): 26 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.27/2.45 ** KEPT (pick-wt=8): 27 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.27/2.45 ** KEPT (pick-wt=8): 28 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.27/2.45 ** KEPT (pick-wt=8): 29 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.27/2.45 ** KEPT (pick-wt=8): 30 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.27/2.45 ** KEPT (pick-wt=8): 31 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.27/2.45 ** KEPT (pick-wt=4): 32 [] -v5_membered(A)|v4_membered(A).
% 2.27/2.45 ** KEPT (pick-wt=8): 33 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.27/2.45 ** KEPT (pick-wt=8): 34 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.27/2.45 ** KEPT (pick-wt=8): 35 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.27/2.45 ** KEPT (pick-wt=8): 36 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.27/2.45 ** KEPT (pick-wt=8): 37 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 2.27/2.45 ** KEPT (pick-wt=4): 38 [] -v4_membered(A)|v3_membered(A).
% 2.27/2.45 ** KEPT (pick-wt=4): 39 [] -v3_membered(A)|v2_membered(A).
% 2.27/2.45 ** KEPT (pick-wt=4): 40 [] -v2_membered(A)|v1_membered(A).
% 2.27/2.45 ** KEPT (pick-wt=16): 41 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 2.27/2.45 ** KEPT (pick-wt=16): 42 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f1(A,B,C),A).
% 2.27/2.45 ** KEPT (pick-wt=16): 43 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f1(A,B,C)).
% 2.27/2.45 ** KEPT (pick-wt=20): 44 [] A=empty_set|B=set_meet(A)|in($f3(A,B),B)| -in(C,A)|in($f3(A,B),C).
% 2.27/2.45 ** KEPT (pick-wt=17): 45 [] A=empty_set|B=set_meet(A)| -in($f3(A,B),B)|in($f2(A,B),A).
% 2.27/2.45 ** KEPT (pick-wt=19): 46 [] A=empty_set|B=set_meet(A)| -in($f3(A,B),B)| -in($f3(A,B),$f2(A,B)).
% 2.27/2.45 ** KEPT (pick-wt=10): 47 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 2.27/2.45 ** KEPT (pick-wt=10): 48 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 2.27/2.45 ** KEPT (pick-wt=7): 50 [copy,49,flip.2] -one_sorted_str(A)|the_carrier(A)=cast_as_carrier_subset(A).
% 2.27/2.45 ** KEPT (pick-wt=8): 51 [] -one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))).
% 2.27/2.45 ** KEPT (pick-wt=14): 52 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(topstr_closure(A,B),powerset(the_carrier(A))).
% 2.27/2.45 ** KEPT (pick-wt=11): 53 [] -element(A,powerset(powerset(B)))|element(meet_of_subsets(B,A),powerset(B)).
% 2.27/2.45 ** KEPT (pick-wt=4): 54 [] -top_str(A)|one_sorted_str(A).
% 2.27/2.45 ** KEPT (pick-wt=3): 55 [] -empty(powerset(A)).
% 2.27/2.45 ** KEPT (pick-wt=8): 56 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 2.27/2.45 ** KEPT (pick-wt=2): 57 [] -empty($c3).
% 2.27/2.45 ** KEPT (pick-wt=5): 58 [] empty(A)| -empty($f5(A)).
% 2.27/2.45 ** KEPT (pick-wt=10): 59 [] -topological_space(A)| -top_str(A)|element($f7(A),powerset(the_carrier(A))).
% 2.27/2.45 ** KEPT (pick-wt=8): 60 [] -topological_space(A)| -top_str(A)|closed_subset($f7(A),A).
% 2.27/2.45 ** KEPT (pick-wt=11): 61 [] -element(A,powerset(powerset(B)))|meet_of_subsets(B,A)=set_meet(A).
% 2.27/2.45 ** KEPT (pick-wt=17): 62 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|element($f9(A,B),powerset(powerset(the_carrier(A)))).
% 2.27/2.45 ** KEPT (pick-wt=27): 63 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))| -in(C,$f9(A,B))|element($f8(A,B,C),powerset(the_carrier(A))).
% 2.27/2.45 ** KEPT (pick-wt=25): 64 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))| -in(C,$f9(A,B))|$f8(A,B,C)=C.
% 2.27/2.45 ** KEPT (pick-wt=25): 65 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))| -in(C,$f9(A,B))|closed_subset($f8(A,B,C),A).
% 2.27/2.45 ** KEPT (pick-wt=22): 66 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))| -in(C,$f9(A,B))|subset(B,C).
% 2.27/2.45 ** KEPT (pick-wt=33): 67 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|in(C,$f9(A,B))| -element(D,powerset(the_carrier(A)))|D!=C| -closed_subset(D,A)| -subset(B,C).
% 2.27/2.45 ** KEPT (pick-wt=6): 68 [] -in(A,B)|element(A,B).
% 2.27/2.45 ** KEPT (pick-wt=8): 69 [] -element(A,B)|empty(B)|in(A,B).
% 2.27/2.45 ** KEPT (pick-wt=13): 70 [] -in($f10(A,B),A)| -in($f10(A,B),B)|A=B.
% 2.27/2.45 ** KEPT (pick-wt=7): 71 [] -element(A,powerset(B))|subset(A,B).
% 2.27/2.45 ** KEPT (pick-wt=7): 72 [] element(A,powerset(B))| -subset(A,B).
% 2.27/2.45 ** KEPT (pick-wt=30): 73 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -in(C,the_carrier(A))| -in(C,topstr_closure(A,B))| -element(D,powerset(the_carrier(A)))| -closed_subset(D,A)| -subset(B,D)|in(C,D).
% 2.27/2.45 ** KEPT (pick-wt=24): 74 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -in(C,the_carrier(A))|in(C,topstr_closure(A,B))|element($f11(A,B,C),powerset(the_carrier(A))).
% 2.27/2.45 ** KEPT (pick-wt=22): 75 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -in(C,the_carrier(A))|in(C,topstr_closure(A,B))|closed_subset($f11(A,B,C),A).
% 2.27/2.45 ** KEPT (pick-wt=22): 76 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -in(C,the_carrier(A))|in(C,topstr_closure(A,B))|subset(B,$f11(A,B,C)).
% 2.27/2.45 ** KEPT (pick-wt=22): 77 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -in(C,the_carrier(A))|in(C,topstr_closure(A,B))| -in(C,$f11(A,B,C)).
% 2.27/2.45 ** KEPT (pick-wt=20): 79 [copy,78,flip.3] -element(A,powerset(powerset(the_carrier($c5))))|element($f12(A),powerset(the_carrier($c5)))|meet_of_subsets(the_carrier($c5),A)!=topstr_closure($c5,$c4).
% 2.27/2.45 ** KEPT (pick-wt=22): 81 [copy,80,flip.4] -element(A,powerset(powerset(the_carrier($c5))))|in($f12(A),A)|closed_subset($f12(A),$c5)|meet_of_subsets(the_carrier($c5),A)!=topstr_closure($c5,$c4).
% 2.27/2.45 ** KEPT (pick-wt=22): 83 [copy,82,flip.4] -element(A,powerset(powerset(the_carrier($c5))))|in($f12(A),A)|subset($c4,$f12(A))|meet_of_subsets(the_carrier($c5),A)!=topstr_closure($c5,$c4).
% 2.27/2.45 ** KEPT (pick-wt=26): 85 [copy,84,flip.5] -element(A,powerset(powerset(the_carrier($c5))))| -in($f12(A),A)| -closed_subset($f12(A),$c5)| -subset($c4,$f12(A))|meet_of_subsets(the_carrier($c5),A)!=topstr_closure($c5,$c4).
% 2.27/2.45 ** KEPT (pick-wt=10): 86 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.27/2.45 ** KEPT (pick-wt=9): 87 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.27/2.45 ** KEPT (pick-wt=5): 88 [] -empty(A)|A=empty_set.
% 2.27/2.45 ** KEPT (pick-wt=5): 89 [] -in(A,B)| -empty(B).
% 2.27/2.45 ** KEPT (pick-wt=7): 90 [] -empty(A)|A=B| -empty(B).
% 2.27/2.45
% 2.27/2.45 ------------> process sos:
% 2.27/2.45 ** KEPT (pick-wt=3): 106 [] A=A.
% 2.27/2.45 ** KEPT (pick-wt=2): 107 [] top_str($c1).
% 2.27/2.45 ** KEPT (pick-wt=2): 108 [] one_sorted_str($c2).
% 2.27/2.45 ** KEPT (pick-wt=4): 109 [] element($f4(A),A).
% 2.27/2.45 ** KEPT (pick-wt=2): 110 [] empty(empty_set).
% 2.27/2.45 ** KEPT (pick-wt=2): 111 [] v1_membered(empty_set).
% 2.27/2.45 ** KEPT (pick-wt=2): 112 [] v2_membered(empty_set).
% 2.27/2.45 ** KEPT (pick-wt=2): 113 [] v3_membered(empty_set).
% 2.27/2.45 ** KEPT (pick-wt=2): 114 [] v4_membered(empty_set).
% 2.27/2.45 ** KEPT (pick-wt=2): 115 [] v5_membered(empty_set).
% 2.27/2.45 ** KEPT (pick-wt=2): 116 [] v1_membered($c3).
% 2.27/2.45 ** KEPT (picAlarm clock
% 299.88/300.02 Otter interrupted
% 299.88/300.02 PROOF NOT FOUND
%------------------------------------------------------------------------------