TSTP Solution File: SEU337+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU337+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 13:15:44 EDT 2022
% Result : Unknown 5.09s 5.22s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU337+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 08:17:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.28/2.45 ----- Otter 3.3f, August 2004 -----
% 2.28/2.45 The process was started by sandbox2 on n026.cluster.edu,
% 2.28/2.45 Wed Jul 27 08:17:09 2022
% 2.28/2.45 The command was "./otter". The process ID is 23502.
% 2.28/2.45
% 2.28/2.45 set(prolog_style_variables).
% 2.28/2.45 set(auto).
% 2.28/2.45 dependent: set(auto1).
% 2.28/2.45 dependent: set(process_input).
% 2.28/2.45 dependent: clear(print_kept).
% 2.28/2.45 dependent: clear(print_new_demod).
% 2.28/2.45 dependent: clear(print_back_demod).
% 2.28/2.45 dependent: clear(print_back_sub).
% 2.28/2.45 dependent: set(control_memory).
% 2.28/2.45 dependent: assign(max_mem, 12000).
% 2.28/2.45 dependent: assign(pick_given_ratio, 4).
% 2.28/2.45 dependent: assign(stats_level, 1).
% 2.28/2.45 dependent: assign(max_seconds, 10800).
% 2.28/2.45 clear(print_given).
% 2.28/2.45
% 2.28/2.45 formula_list(usable).
% 2.28/2.45 all A (A=A).
% 2.28/2.45 all A B (in(A,B)-> -in(B,A)).
% 2.28/2.45 all A (v1_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)))).
% 2.28/2.45 all A (v2_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)))).
% 2.28/2.45 all A (v3_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)&v1_rat_1(B)))).
% 2.28/2.45 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)))).
% 2.28/2.45 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)))).
% 2.28/2.45 all A (empty(A)->v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 2.28/2.45 all A (v1_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)))).
% 2.28/2.45 all A (v2_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)))).
% 2.28/2.45 all A (v3_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)))).
% 2.28/2.45 all A (v4_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)))).
% 2.28/2.45 all A (v5_membered(A)->v4_membered(A)).
% 2.28/2.45 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)))).
% 2.28/2.45 all A (v4_membered(A)->v3_membered(A)).
% 2.28/2.45 all A (v3_membered(A)->v2_membered(A)).
% 2.28/2.45 all A (v2_membered(A)->v1_membered(A)).
% 2.28/2.45 all A (top_str(A)-> (all B (element(B,powerset(powerset(the_carrier(A))))-> (open_subsets(B,A)<-> (all C (element(C,powerset(the_carrier(A)))-> (in(C,B)->open_subset(C,A)))))))).
% 2.28/2.45 all A (top_str(A)-> (all B (element(B,powerset(powerset(the_carrier(A))))-> (closed_subsets(B,A)<-> (all C (element(C,powerset(the_carrier(A)))-> (in(C,B)->closed_subset(C,A)))))))).
% 2.28/2.45 all A B (element(B,powerset(powerset(A)))-> (all C (element(C,powerset(powerset(A)))-> (C=complements_of_subsets(A,B)<-> (all D (element(D,powerset(A))-> (in(D,C)<->in(subset_complement(A,D),B)))))))).
% 2.28/2.45 $T.
% 2.28/2.45 $T.
% 2.28/2.45 all A B (element(B,powerset(A))->element(subset_complement(A,B),powerset(A))).
% 2.28/2.45 all A B (element(B,powerset(powerset(A)))->element(complements_of_subsets(A,B),powerset(powerset(A)))).
% 2.28/2.45 all A (top_str(A)->one_sorted_str(A)).
% 2.28/2.45 $T.
% 2.28/2.45 $T.
% 2.28/2.45 $T.
% 2.28/2.45 exists A top_str(A).
% 2.28/2.45 exists A one_sorted_str(A).
% 2.28/2.45 all A exists B element(B,A).
% 2.28/2.45 all A (-empty(powerset(A))).
% 2.28/2.45 empty(empty_set).
% 2.28/2.45 v1_membered(empty_set).
% 2.28/2.45 v2_membered(empty_set).
% 2.28/2.45 v3_membered(empty_set).
% 2.28/2.45 v4_membered(empty_set).
% 2.28/2.45 v5_membered(empty_set).
% 2.28/2.45 all A B (element(B,powerset(A))->subset_complement(A,subset_complement(A,B))=B).
% 2.28/2.45 all A B (element(B,powerset(powerset(A)))->complements_of_subsets(A,complements_of_subsets(A,B))=B).
% 2.28/2.45 exists A (-empty(A)&v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 2.28/2.45 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.28/2.45 all A exists B (element(B,powerset(A))&empty(B)).
% 2.28/2.45 all A B subset(A,A).
% 2.28/2.45 -(all A (top_str(A)-> (all B (element(B,powerset(powerset(the_carrier(A))))-> (open_subsets(B,A)<->closed_subsets(complements_of_subsets(the_carrier(A),B),A)))))).
% 2.28/2.45 all A B (in(A,B)->element(A,B)).
% 2.28/2.45 all A (top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (closed_subset(B,A)<->open_subset(subset_complement(the_carrier(A),B),A))))).
% 2.28/2.45 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.28/2.45 all A (top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (open_subset(B,A)<->closed_subset(subset_complement(the_carrier(A),B),A))))).
% 2.28/2.45 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.28/2.45 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.28/2.45 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.28/2.45 all A (empty(A)->A=empty_set).
% 2.28/2.45 all A B (-(in(A,B)&empty(B))).
% 2.28/2.45 all A B (-(empty(A)&A!=B&empty(B))).
% 2.28/2.45 end_of_list.
% 2.28/2.45
% 2.28/2.45 -------> usable clausifies to:
% 2.28/2.45
% 2.28/2.45 list(usable).
% 2.28/2.45 0 [] A=A.
% 2.28/2.45 0 [] -in(A,B)| -in(B,A).
% 2.28/2.45 0 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.28/2.45 0 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.28/2.45 0 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.28/2.45 0 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.28/2.45 0 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.28/2.45 0 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.28/2.45 0 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.28/2.45 0 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.28/2.45 0 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 2.28/2.45 0 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.28/2.45 0 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.28/2.45 0 [] -v5_membered(A)| -element(B,A)|natural(B).
% 2.28/2.45 0 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.28/2.45 0 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 2.28/2.45 0 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.28/2.45 0 [] -empty(A)|v1_membered(A).
% 2.28/2.45 0 [] -empty(A)|v2_membered(A).
% 2.28/2.45 0 [] -empty(A)|v3_membered(A).
% 2.28/2.45 0 [] -empty(A)|v4_membered(A).
% 2.28/2.45 0 [] -empty(A)|v5_membered(A).
% 2.28/2.45 0 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.28/2.45 0 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.28/2.45 0 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.28/2.45 0 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.28/2.45 0 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.28/2.45 0 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.28/2.45 0 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.28/2.45 0 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.28/2.45 0 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.28/2.45 0 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.28/2.45 0 [] -v5_membered(A)|v4_membered(A).
% 2.28/2.45 0 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.28/2.45 0 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.28/2.45 0 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.28/2.45 0 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.28/2.45 0 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 2.28/2.45 0 [] -v4_membered(A)|v3_membered(A).
% 2.28/2.45 0 [] -v3_membered(A)|v2_membered(A).
% 2.28/2.45 0 [] -v2_membered(A)|v1_membered(A).
% 2.28/2.45 0 [] -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -open_subsets(B,A)| -element(C,powerset(the_carrier(A)))| -in(C,B)|open_subset(C,A).
% 2.28/2.45 0 [] -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|open_subsets(B,A)|element($f1(A,B),powerset(the_carrier(A))).
% 2.28/2.45 0 [] -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|open_subsets(B,A)|in($f1(A,B),B).
% 2.28/2.45 0 [] -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|open_subsets(B,A)| -open_subset($f1(A,B),A).
% 2.28/2.45 0 [] -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -closed_subsets(B,A)| -element(C,powerset(the_carrier(A)))| -in(C,B)|closed_subset(C,A).
% 2.28/2.45 0 [] -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|closed_subsets(B,A)|element($f2(A,B),powerset(the_carrier(A))).
% 2.28/2.45 0 [] -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|closed_subsets(B,A)|in($f2(A,B),B).
% 2.28/2.45 0 [] -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|closed_subsets(B,A)| -closed_subset($f2(A,B),A).
% 2.28/2.45 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C!=complements_of_subsets(A,B)| -element(D,powerset(A))| -in(D,C)|in(subset_complement(A,D),B).
% 2.28/2.45 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C!=complements_of_subsets(A,B)| -element(D,powerset(A))|in(D,C)| -in(subset_complement(A,D),B).
% 2.28/2.45 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|element($f3(A,B,C),powerset(A)).
% 2.28/2.45 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|in($f3(A,B,C),C)|in(subset_complement(A,$f3(A,B,C)),B).
% 2.28/2.45 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)| -in($f3(A,B,C),C)| -in(subset_complement(A,$f3(A,B,C)),B).
% 2.28/2.45 0 [] $T.
% 2.28/2.45 0 [] $T.
% 2.28/2.45 0 [] -element(B,powerset(A))|element(subset_complement(A,B),powerset(A)).
% 2.28/2.45 0 [] -element(B,powerset(powerset(A)))|element(complements_of_subsets(A,B),powerset(powerset(A))).
% 2.28/2.45 0 [] -top_str(A)|one_sorted_str(A).
% 2.28/2.45 0 [] $T.
% 2.28/2.45 0 [] $T.
% 2.28/2.45 0 [] $T.
% 2.28/2.45 0 [] top_str($c1).
% 2.28/2.45 0 [] one_sorted_str($c2).
% 2.28/2.45 0 [] element($f4(A),A).
% 2.28/2.45 0 [] -empty(powerset(A)).
% 2.28/2.45 0 [] empty(empty_set).
% 2.28/2.45 0 [] v1_membered(empty_set).
% 2.28/2.45 0 [] v2_membered(empty_set).
% 2.28/2.45 0 [] v3_membered(empty_set).
% 2.28/2.45 0 [] v4_membered(empty_set).
% 2.28/2.45 0 [] v5_membered(empty_set).
% 2.28/2.45 0 [] -element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B.
% 2.28/2.45 0 [] -element(B,powerset(powerset(A)))|complements_of_subsets(A,complements_of_subsets(A,B))=B.
% 2.28/2.45 0 [] -empty($c3).
% 2.28/2.45 0 [] v1_membered($c3).
% 2.28/2.45 0 [] v2_membered($c3).
% 2.28/2.45 0 [] v3_membered($c3).
% 2.28/2.45 0 [] v4_membered($c3).
% 2.28/2.45 0 [] v5_membered($c3).
% 2.28/2.45 0 [] empty(A)|element($f5(A),powerset(A)).
% 2.28/2.45 0 [] empty(A)| -empty($f5(A)).
% 2.28/2.45 0 [] element($f6(A),powerset(A)).
% 2.28/2.45 0 [] empty($f6(A)).
% 2.28/2.45 0 [] subset(A,A).
% 2.28/2.45 0 [] top_str($c5).
% 2.28/2.45 0 [] element($c4,powerset(powerset(the_carrier($c5)))).
% 2.28/2.45 0 [] open_subsets($c4,$c5)|closed_subsets(complements_of_subsets(the_carrier($c5),$c4),$c5).
% 2.28/2.45 0 [] -open_subsets($c4,$c5)| -closed_subsets(complements_of_subsets(the_carrier($c5),$c4),$c5).
% 2.28/2.45 0 [] -in(A,B)|element(A,B).
% 2.28/2.45 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -closed_subset(B,A)|open_subset(subset_complement(the_carrier(A),B),A).
% 2.28/2.45 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|closed_subset(B,A)| -open_subset(subset_complement(the_carrier(A),B),A).
% 2.28/2.45 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.28/2.45 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)|closed_subset(subset_complement(the_carrier(A),B),A).
% 2.28/2.45 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|open_subset(B,A)| -closed_subset(subset_complement(the_carrier(A),B),A).
% 2.28/2.45 0 [] -element(A,powerset(B))|subset(A,B).
% 2.28/2.45 0 [] element(A,powerset(B))| -subset(A,B).
% 2.28/2.45 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.28/2.45 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.28/2.45 0 [] -empty(A)|A=empty_set.
% 2.28/2.45 0 [] -in(A,B)| -empty(B).
% 2.28/2.45 0 [] -empty(A)|A=B| -empty(B).
% 2.28/2.45 end_of_list.
% 2.28/2.45
% 2.28/2.45 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 2.28/2.45
% 2.28/2.45 This ia a non-Horn set with equality. The strategy will be
% 2.28/2.45 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.28/2.45 deletion, with positive clauses in sos and nonpositive
% 2.28/2.45 clauses in usable.
% 2.28/2.45
% 2.28/2.45 dependent: set(knuth_bendix).
% 2.28/2.45 dependent: set(anl_eq).
% 2.28/2.45 dependent: set(para_from).
% 2.28/2.45 dependent: set(para_into).
% 2.28/2.45 dependent: clear(para_from_right).
% 2.28/2.45 dependent: clear(para_into_right).
% 2.28/2.45 dependent: set(para_from_vars).
% 2.28/2.45 dependent: set(eq_units_both_ways).
% 2.28/2.45 dependent: set(dynamic_demod_all).
% 2.28/2.45 dependent: set(dynamic_demod).
% 2.28/2.45 dependent: set(order_eq).
% 2.28/2.45 dependent: set(back_demod).
% 2.28/2.45 dependent: set(lrpo).
% 2.28/2.45 dependent: set(hyper_res).
% 2.28/2.45 dependent: set(unit_deletion).
% 2.28/2.45 dependent: set(factor).
% 2.28/2.45
% 2.28/2.45 ------------> process usable:
% 2.28/2.45 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 2.28/2.45 ** KEPT (pick-wt=7): 2 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.28/2.45 ** KEPT (pick-wt=7): 3 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.28/2.45 ** KEPT (pick-wt=7): 4 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.28/2.45 ** KEPT (pick-wt=7): 5 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.28/2.45 ** KEPT (pick-wt=7): 6 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.28/2.45 ** KEPT (pick-wt=7): 7 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.28/2.45 ** KEPT (pick-wt=7): 8 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.28/2.45 ** KEPT (pick-wt=7): 9 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.28/2.45 ** KEPT (pick-wt=7): 10 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 2.28/2.45 ** KEPT (pick-wt=7): 11 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.28/2.45 ** KEPT (pick-wt=7): 12 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.28/2.45 ** KEPT (pick-wt=7): 13 [] -v5_membered(A)| -element(B,A)|natural(B).
% 2.28/2.45 ** KEPT (pick-wt=7): 14 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.28/2.45 ** KEPT (pick-wt=7): 15 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 2.28/2.45 ** KEPT (pick-wt=7): 16 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.28/2.45 ** KEPT (pick-wt=4): 17 [] -empty(A)|v1_membered(A).
% 2.28/2.45 ** KEPT (pick-wt=4): 18 [] -empty(A)|v2_membered(A).
% 2.28/2.45 ** KEPT (pick-wt=4): 19 [] -empty(A)|v3_membered(A).
% 2.28/2.45 ** KEPT (pick-wt=4): 20 [] -empty(A)|v4_membered(A).
% 2.28/2.45 ** KEPT (pick-wt=4): 21 [] -empty(A)|v5_membered(A).
% 2.28/2.45 ** KEPT (pick-wt=8): 22 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.28/2.45 ** KEPT (pick-wt=8): 23 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.28/2.45 ** KEPT (pick-wt=8): 24 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.28/2.45 ** KEPT (pick-wt=8): 25 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.28/2.45 ** KEPT (pick-wt=8): 26 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.28/2.45 ** KEPT (pick-wt=8): 27 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.28/2.45 ** KEPT (pick-wt=8): 28 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.28/2.45 ** KEPT (pick-wt=8): 29 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.28/2.45 ** KEPT (pick-wt=8): 30 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.28/2.45 ** KEPT (pick-wt=8): 31 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.28/2.45 ** KEPT (pick-wt=4): 32 [] -v5_membered(A)|v4_membered(A).
% 2.28/2.45 ** KEPT (pick-wt=8): 33 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.28/2.45 ** KEPT (pick-wt=8): 34 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.28/2.45 ** KEPT (pick-wt=8): 35 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.28/2.45 ** KEPT (pick-wt=8): 36 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.28/2.45 ** KEPT (pick-wt=8): 37 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 2.28/2.45 ** KEPT (pick-wt=4): 38 [] -v4_membered(A)|v3_membered(A).
% 2.28/2.45 ** KEPT (pick-wt=4): 39 [] -v3_membered(A)|v2_membered(A).
% 2.28/2.45 ** KEPT (pick-wt=4): 40 [] -v2_membered(A)|v1_membered(A).
% 2.28/2.45 ** KEPT (pick-wt=22): 41 [] -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -open_subsets(B,A)| -element(C,powerset(the_carrier(A)))| -in(C,B)|open_subset(C,A).
% 2.28/2.45 ** KEPT (pick-wt=18): 42 [] -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|open_subsets(B,A)|element($f1(A,B),powerset(the_carrier(A))).
% 2.28/2.45 ** KEPT (pick-wt=16): 43 [] -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|open_subsets(B,A)|in($f1(A,B),B).
% 2.28/2.45 ** KEPT (pick-wt=16): 44 [] -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|open_subsets(B,A)| -open_subset($f1(A,B),A).
% 2.28/2.45 ** KEPT (pick-wt=22): 45 [] -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -closed_subsets(B,A)| -element(C,powerset(the_carrier(A)))| -in(C,B)|closed_subset(C,A).
% 2.28/2.45 ** KEPT (pick-wt=18): 46 [] -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|closed_subsets(B,A)|element($f2(A,B),powerset(the_carrier(A))).
% 2.28/2.45 ** KEPT (pick-wt=16): 47 [] -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|closed_subsets(B,A)|in($f2(A,B),B).
% 2.28/2.45 ** KEPT (pick-wt=16): 48 [] -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|closed_subsets(B,A)| -closed_subset($f2(A,B),A).
% 2.28/2.45 ** KEPT (pick-wt=27): 49 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C!=complements_of_subsets(B,A)| -element(D,powerset(B))| -in(D,C)|in(subset_complement(B,D),A).
% 2.28/2.45 ** KEPT (pick-wt=27): 50 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C!=complements_of_subsets(B,A)| -element(D,powerset(B))|in(D,C)| -in(subset_complement(B,D),A).
% 2.28/2.45 ** KEPT (pick-wt=22): 51 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|element($f3(B,A,C),powerset(B)).
% 2.28/2.45 ** KEPT (pick-wt=29): 52 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|in($f3(B,A,C),C)|in(subset_complement(B,$f3(B,A,C)),A).
% 2.28/2.45 ** KEPT (pick-wt=29): 53 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)| -in($f3(B,A,C),C)| -in(subset_complement(B,$f3(B,A,C)),A).
% 2.28/2.45 ** KEPT (pick-wt=10): 54 [] -element(A,powerset(B))|element(subset_complement(B,A),powerset(B)).
% 2.28/2.45 ** KEPT (pick-wt=12): 55 [] -element(A,powerset(powerset(B)))|element(complements_of_subsets(B,A),powerset(powerset(B))).
% 2.28/2.45 ** KEPT (pick-wt=4): 56 [] -top_str(A)|one_sorted_str(A).
% 2.28/2.45 ** KEPT (pick-wt=3): 57 [] -empty(powerset(A)).
% 2.28/2.45 ** KEPT (pick-wt=11): 58 [] -element(A,powerset(B))|subset_complement(B,subset_complement(B,A))=A.
% 2.28/2.45 ** KEPT (pick-wt=12): 59 [] -element(A,powerset(powerset(B)))|complements_of_subsets(B,complements_of_subsets(B,A))=A.
% 5.09/5.22 ** KEPT (pick-wt=2): 60 [] -empty($c3).
% 5.09/5.22 ** KEPT (pick-wt=5): 61 [] empty(A)| -empty($f5(A)).
% 5.09/5.22 ** KEPT (pick-wt=9): 62 [] -open_subsets($c4,$c5)| -closed_subsets(complements_of_subsets(the_carrier($c5),$c4),$c5).
% 5.09/5.22 ** KEPT (pick-wt=6): 63 [] -in(A,B)|element(A,B).
% 5.09/5.22 ** KEPT (pick-wt=16): 64 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -closed_subset(B,A)|open_subset(subset_complement(the_carrier(A),B),A).
% 5.09/5.22 ** KEPT (pick-wt=16): 65 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|closed_subset(B,A)| -open_subset(subset_complement(the_carrier(A),B),A).
% 5.09/5.22 ** KEPT (pick-wt=8): 66 [] -element(A,B)|empty(B)|in(A,B).
% 5.09/5.22 ** KEPT (pick-wt=16): 67 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)|closed_subset(subset_complement(the_carrier(A),B),A).
% 5.09/5.22 ** KEPT (pick-wt=16): 68 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|open_subset(B,A)| -closed_subset(subset_complement(the_carrier(A),B),A).
% 5.09/5.22 ** KEPT (pick-wt=7): 69 [] -element(A,powerset(B))|subset(A,B).
% 5.09/5.22 ** KEPT (pick-wt=7): 70 [] element(A,powerset(B))| -subset(A,B).
% 5.09/5.22 ** KEPT (pick-wt=10): 71 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 5.09/5.22 ** KEPT (pick-wt=9): 72 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 5.09/5.22 ** KEPT (pick-wt=5): 73 [] -empty(A)|A=empty_set.
% 5.09/5.22 ** KEPT (pick-wt=5): 74 [] -in(A,B)| -empty(B).
% 5.09/5.22 ** KEPT (pick-wt=7): 75 [] -empty(A)|A=B| -empty(B).
% 5.09/5.22
% 5.09/5.22 ------------> process sos:
% 5.09/5.22 ** KEPT (pick-wt=3): 83 [] A=A.
% 5.09/5.22 ** KEPT (pick-wt=2): 84 [] top_str($c1).
% 5.09/5.22 ** KEPT (pick-wt=2): 85 [] one_sorted_str($c2).
% 5.09/5.22 ** KEPT (pick-wt=4): 86 [] element($f4(A),A).
% 5.09/5.22 ** KEPT (pick-wt=2): 87 [] empty(empty_set).
% 5.09/5.22 ** KEPT (pick-wt=2): 88 [] v1_membered(empty_set).
% 5.09/5.22 ** KEPT (pick-wt=2): 89 [] v2_membered(empty_set).
% 5.09/5.22 ** KEPT (pick-wt=2): 90 [] v3_membered(empty_set).
% 5.09/5.22 ** KEPT (pick-wt=2): 91 [] v4_membered(empty_set).
% 5.09/5.22 ** KEPT (pick-wt=2): 92 [] v5_membered(empty_set).
% 5.09/5.22 ** KEPT (pick-wt=2): 93 [] v1_membered($c3).
% 5.09/5.22 ** KEPT (pick-wt=2): 94 [] v2_membered($c3).
% 5.09/5.22 ** KEPT (pick-wt=2): 95 [] v3_membered($c3).
% 5.09/5.22 ** KEPT (pick-wt=2): 96 [] v4_membered($c3).
% 5.09/5.22 ** KEPT (pick-wt=2): 97 [] v5_membered($c3).
% 5.09/5.22 ** KEPT (pick-wt=7): 98 [] empty(A)|element($f5(A),powerset(A)).
% 5.09/5.22 ** KEPT (pick-wt=5): 99 [] element($f6(A),powerset(A)).
% 5.09/5.22 ** KEPT (pick-wt=3): 100 [] empty($f6(A)).
% 5.09/5.22 ** KEPT (pick-wt=3): 101 [] subset(A,A).
% 5.09/5.22 ** KEPT (pick-wt=2): 102 [] top_str($c5).
% 5.09/5.22 ** KEPT (pick-wt=6): 103 [] element($c4,powerset(powerset(the_carrier($c5)))).
% 5.09/5.22 ** KEPT (pick-wt=9): 104 [] open_subsets($c4,$c5)|closed_subsets(complements_of_subsets(the_carrier($c5),$c4),$c5).
% 5.09/5.22 Following clause subsumed by 83 during input processing: 0 [copy,83,flip.1] A=A.
% 5.09/5.22 83 back subsumes 82.
% 5.09/5.22
% 5.09/5.22 ======= end of input processing =======
% 5.09/5.22
% 5.09/5.22 =========== start of search ===========
% 5.09/5.22
% 5.09/5.22
% 5.09/5.22 Resetting weight limit to 6.
% 5.09/5.22
% 5.09/5.22
% 5.09/5.22 Resetting weight limit to 6.
% 5.09/5.22
% 5.09/5.22 sos_size=716
% 5.09/5.22
% 5.09/5.22 Search stopped because sos empty.
% 5.09/5.22
% 5.09/5.22
% 5.09/5.22 Search stopped because sos empty.
% 5.09/5.22
% 5.09/5.22 ============ end of search ============
% 5.09/5.22
% 5.09/5.22 -------------- statistics -------------
% 5.09/5.22 clauses given 934
% 5.09/5.22 clauses generated 106628
% 5.09/5.22 clauses kept 1021
% 5.09/5.22 clauses forward subsumed 1974
% 5.09/5.22 clauses back subsumed 3
% 5.09/5.22 Kbytes malloced 7812
% 5.09/5.22
% 5.09/5.22 ----------- times (seconds) -----------
% 5.09/5.22 user CPU time 2.78 (0 hr, 0 min, 2 sec)
% 5.09/5.22 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 5.09/5.22 wall-clock time 5 (0 hr, 0 min, 5 sec)
% 5.09/5.22
% 5.09/5.22 Process 23502 finished Wed Jul 27 08:17:14 2022
% 5.09/5.22 Otter interrupted
% 5.09/5.22 PROOF NOT FOUND
%------------------------------------------------------------------------------