TSTP Solution File: SEU310+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU310+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:15:36 EDT 2022
% Result : Unknown 2.07s 2.26s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU310+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n003.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 07:32:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.86/2.05 ----- Otter 3.3f, August 2004 -----
% 1.86/2.05 The process was started by sandbox on n003.cluster.edu,
% 1.86/2.05 Wed Jul 27 07:32:11 2022
% 1.86/2.05 The command was "./otter". The process ID is 1925.
% 1.86/2.05
% 1.86/2.05 set(prolog_style_variables).
% 1.86/2.05 set(auto).
% 1.86/2.05 dependent: set(auto1).
% 1.86/2.05 dependent: set(process_input).
% 1.86/2.05 dependent: clear(print_kept).
% 1.86/2.05 dependent: clear(print_new_demod).
% 1.86/2.05 dependent: clear(print_back_demod).
% 1.86/2.05 dependent: clear(print_back_sub).
% 1.86/2.05 dependent: set(control_memory).
% 1.86/2.05 dependent: assign(max_mem, 12000).
% 1.86/2.05 dependent: assign(pick_given_ratio, 4).
% 1.86/2.05 dependent: assign(stats_level, 1).
% 1.86/2.05 dependent: assign(max_seconds, 10800).
% 1.86/2.05 clear(print_given).
% 1.86/2.05
% 1.86/2.05 formula_list(usable).
% 1.86/2.05 all A (A=A).
% 1.86/2.05 -(all A B (topological_space(A)&top_str(A)&element(B,powerset(powerset(the_carrier(A))))-> (exists C all D (in(D,C)<->in(D,powerset(the_carrier(A)))&in(set_difference(cast_as_carrier_subset(A),D),B))))).
% 1.86/2.05 all A (v5_membered(A)->v4_membered(A)).
% 1.86/2.05 all A (v4_membered(A)->v3_membered(A)).
% 1.86/2.05 all A (v3_membered(A)->v2_membered(A)).
% 1.86/2.05 all A (v2_membered(A)->v1_membered(A)).
% 1.86/2.05 exists A (-empty(A)&v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 1.86/2.05 all A (v1_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)))).
% 1.86/2.05 all A (v2_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)))).
% 1.86/2.05 all A (v3_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)&v1_rat_1(B)))).
% 1.86/2.05 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)))).
% 1.86/2.05 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)))).
% 1.86/2.05 all A (v1_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)))).
% 1.86/2.05 all A (v2_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)))).
% 1.86/2.05 all A (v3_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)))).
% 1.86/2.05 all A (v4_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)))).
% 1.86/2.05 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)))).
% 1.86/2.05 all A B (v1_membered(A)->v1_membered(set_difference(A,B))).
% 1.86/2.05 all A B (v2_membered(A)->v1_membered(set_difference(A,B))&v2_membered(set_difference(A,B))).
% 1.86/2.05 all A B (v3_membered(A)->v1_membered(set_difference(A,B))&v2_membered(set_difference(A,B))&v3_membered(set_difference(A,B))).
% 1.86/2.05 all A B (v4_membered(A)->v1_membered(set_difference(A,B))&v2_membered(set_difference(A,B))&v3_membered(set_difference(A,B))&v4_membered(set_difference(A,B))).
% 1.86/2.05 all A B (v5_membered(A)->v1_membered(set_difference(A,B))&v2_membered(set_difference(A,B))&v3_membered(set_difference(A,B))&v4_membered(set_difference(A,B))&v5_membered(set_difference(A,B))).
% 1.86/2.05 $T.
% 1.86/2.05 all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&closed_subset(B,A)))).
% 1.86/2.05 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.86/2.05 all A exists B (element(B,powerset(A))&empty(B)).
% 1.86/2.05 all A (empty(A)->v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 1.86/2.05 all A B (in(A,B)-> -in(B,A)).
% 1.86/2.05 $T.
% 1.86/2.05 all A (one_sorted_str(A)->element(cast_as_carrier_subset(A),powerset(the_carrier(A)))).
% 1.86/2.05 $T.
% 1.86/2.05 all A (top_str(A)->one_sorted_str(A)).
% 1.86/2.05 $T.
% 1.86/2.05 $T.
% 1.86/2.05 all A (topological_space(A)&top_str(A)->closed_subset(cast_as_carrier_subset(A),A)).
% 1.86/2.05 all A (-empty(powerset(A))).
% 1.86/2.05 all A B (topological_space(A)&top_str(A)&element(B,powerset(powerset(the_carrier(A))))-> ((all C D E (C=D&in(set_difference(cast_as_carrier_subset(A),D),B)&C=E&in(set_difference(cast_as_carrier_subset(A),E),B)->D=E))-> (exists C all D (in(D,C)<-> (exists E (in(E,powerset(the_carrier(A)))&E=D&in(set_difference(cast_as_carrier_subset(A),D),B))))))).
% 1.86/2.05 end_of_list.
% 1.86/2.05
% 1.86/2.05 -------> usable clausifies to:
% 1.86/2.05
% 1.86/2.05 list(usable).
% 1.86/2.05 0 [] A=A.
% 1.86/2.05 0 [] topological_space($c2).
% 1.86/2.05 0 [] top_str($c2).
% 1.86/2.05 0 [] element($c1,powerset(powerset(the_carrier($c2)))).
% 1.86/2.05 0 [] in($f1(C),C)|in($f1(C),powerset(the_carrier($c2))).
% 1.86/2.05 0 [] in($f1(C),C)|in(set_difference(cast_as_carrier_subset($c2),$f1(C)),$c1).
% 1.86/2.05 0 [] -in($f1(C),C)| -in($f1(C),powerset(the_carrier($c2)))| -in(set_difference(cast_as_carrier_subset($c2),$f1(C)),$c1).
% 1.86/2.05 0 [] -v5_membered(A)|v4_membered(A).
% 1.86/2.05 0 [] -v4_membered(A)|v3_membered(A).
% 1.86/2.05 0 [] -v3_membered(A)|v2_membered(A).
% 1.86/2.05 0 [] -v2_membered(A)|v1_membered(A).
% 1.86/2.05 0 [] -empty($c3).
% 1.86/2.05 0 [] v1_membered($c3).
% 1.86/2.05 0 [] v2_membered($c3).
% 1.86/2.05 0 [] v3_membered($c3).
% 1.86/2.05 0 [] v4_membered($c3).
% 1.86/2.05 0 [] v5_membered($c3).
% 1.86/2.05 0 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.86/2.05 0 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.86/2.05 0 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.86/2.05 0 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.86/2.05 0 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.86/2.05 0 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.86/2.05 0 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.86/2.05 0 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.86/2.05 0 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 1.86/2.05 0 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.86/2.05 0 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.86/2.05 0 [] -v5_membered(A)| -element(B,A)|natural(B).
% 1.86/2.05 0 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.86/2.05 0 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 1.86/2.05 0 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.86/2.05 0 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.86/2.05 0 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.86/2.05 0 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.86/2.05 0 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.86/2.05 0 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.86/2.05 0 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.86/2.05 0 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.86/2.05 0 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.86/2.05 0 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.86/2.05 0 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 1.86/2.05 0 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.86/2.05 0 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.86/2.05 0 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.86/2.05 0 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 1.86/2.05 0 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 1.86/2.05 0 [] -v1_membered(A)|v1_membered(set_difference(A,B)).
% 1.86/2.05 0 [] -v2_membered(A)|v1_membered(set_difference(A,B)).
% 1.86/2.05 0 [] -v2_membered(A)|v2_membered(set_difference(A,B)).
% 1.86/2.05 0 [] -v3_membered(A)|v1_membered(set_difference(A,B)).
% 1.86/2.05 0 [] -v3_membered(A)|v2_membered(set_difference(A,B)).
% 1.86/2.05 0 [] -v3_membered(A)|v3_membered(set_difference(A,B)).
% 1.86/2.05 0 [] -v4_membered(A)|v1_membered(set_difference(A,B)).
% 1.86/2.05 0 [] -v4_membered(A)|v2_membered(set_difference(A,B)).
% 1.86/2.05 0 [] -v4_membered(A)|v3_membered(set_difference(A,B)).
% 1.86/2.05 0 [] -v4_membered(A)|v4_membered(set_difference(A,B)).
% 1.86/2.05 0 [] -v5_membered(A)|v1_membered(set_difference(A,B)).
% 1.86/2.05 0 [] -v5_membered(A)|v2_membered(set_difference(A,B)).
% 1.86/2.05 0 [] -v5_membered(A)|v3_membered(set_difference(A,B)).
% 1.86/2.05 0 [] -v5_membered(A)|v4_membered(set_difference(A,B)).
% 1.86/2.05 0 [] -v5_membered(A)|v5_membered(set_difference(A,B)).
% 1.86/2.05 0 [] $T.
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)|element($f2(A),powerset(the_carrier(A))).
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)|closed_subset($f2(A),A).
% 1.86/2.05 0 [] empty(A)|element($f3(A),powerset(A)).
% 1.86/2.05 0 [] empty(A)| -empty($f3(A)).
% 1.86/2.05 0 [] element($f4(A),powerset(A)).
% 1.86/2.05 0 [] empty($f4(A)).
% 1.86/2.05 0 [] -empty(A)|v1_membered(A).
% 1.86/2.05 0 [] -empty(A)|v2_membered(A).
% 1.86/2.05 0 [] -empty(A)|v3_membered(A).
% 1.86/2.05 0 [] -empty(A)|v4_membered(A).
% 1.86/2.05 0 [] -empty(A)|v5_membered(A).
% 1.86/2.05 0 [] -in(A,B)| -in(B,A).
% 1.86/2.05 0 [] $T.
% 1.86/2.05 0 [] -one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))).
% 1.86/2.05 0 [] $T.
% 1.86/2.05 0 [] -top_str(A)|one_sorted_str(A).
% 1.86/2.05 0 [] $T.
% 1.86/2.05 0 [] $T.
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 1.86/2.05 0 [] -empty(powerset(A)).
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f7(A,B)=$f6(A,B)| -in(D,$f9(A,B))|in($f8(A,B,D),powerset(the_carrier(A))).
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f7(A,B)=$f6(A,B)| -in(D,$f9(A,B))|$f8(A,B,D)=D.
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f7(A,B)=$f6(A,B)| -in(D,$f9(A,B))|in(set_difference(cast_as_carrier_subset(A),D),B).
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f7(A,B)=$f6(A,B)|in(D,$f9(A,B))| -in(E,powerset(the_carrier(A)))|E!=D| -in(set_difference(cast_as_carrier_subset(A),D),B).
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(set_difference(cast_as_carrier_subset(A),$f6(A,B)),B)| -in(D,$f9(A,B))|in($f8(A,B,D),powerset(the_carrier(A))).
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(set_difference(cast_as_carrier_subset(A),$f6(A,B)),B)| -in(D,$f9(A,B))|$f8(A,B,D)=D.
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(set_difference(cast_as_carrier_subset(A),$f6(A,B)),B)| -in(D,$f9(A,B))|in(set_difference(cast_as_carrier_subset(A),D),B).
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(set_difference(cast_as_carrier_subset(A),$f6(A,B)),B)|in(D,$f9(A,B))| -in(E,powerset(the_carrier(A)))|E!=D| -in(set_difference(cast_as_carrier_subset(A),D),B).
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f7(A,B)=$f5(A,B)| -in(D,$f9(A,B))|in($f8(A,B,D),powerset(the_carrier(A))).
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f7(A,B)=$f5(A,B)| -in(D,$f9(A,B))|$f8(A,B,D)=D.
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f7(A,B)=$f5(A,B)| -in(D,$f9(A,B))|in(set_difference(cast_as_carrier_subset(A),D),B).
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f7(A,B)=$f5(A,B)|in(D,$f9(A,B))| -in(E,powerset(the_carrier(A)))|E!=D| -in(set_difference(cast_as_carrier_subset(A),D),B).
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(set_difference(cast_as_carrier_subset(A),$f5(A,B)),B)| -in(D,$f9(A,B))|in($f8(A,B,D),powerset(the_carrier(A))).
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(set_difference(cast_as_carrier_subset(A),$f5(A,B)),B)| -in(D,$f9(A,B))|$f8(A,B,D)=D.
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(set_difference(cast_as_carrier_subset(A),$f5(A,B)),B)| -in(D,$f9(A,B))|in(set_difference(cast_as_carrier_subset(A),D),B).
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(set_difference(cast_as_carrier_subset(A),$f5(A,B)),B)|in(D,$f9(A,B))| -in(E,powerset(the_carrier(A)))|E!=D| -in(set_difference(cast_as_carrier_subset(A),D),B).
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f6(A,B)!=$f5(A,B)| -in(D,$f9(A,B))|in($f8(A,B,D),powerset(the_carrier(A))).
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f6(A,B)!=$f5(A,B)| -in(D,$f9(A,B))|$f8(A,B,D)=D.
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f6(A,B)!=$f5(A,B)| -in(D,$f9(A,B))|in(set_difference(cast_as_carrier_subset(A),D),B).
% 1.86/2.05 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f6(A,B)!=$f5(A,B)|in(D,$f9(A,B))| -in(E,powerset(the_carrier(A)))|E!=D| -in(set_difference(cast_as_carrier_subset(A),D),B).
% 1.86/2.05 end_of_list.
% 1.86/2.05
% 1.86/2.05 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 1.86/2.05
% 1.86/2.05 This ia a non-Horn set with equality. The strategy will be
% 1.86/2.05 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.86/2.05 deletion, with positive clauses in sos and nonpositive
% 1.86/2.05 clauses in usable.
% 1.86/2.05
% 1.86/2.05 dependent: set(knuth_bendix).
% 1.86/2.05 dependent: set(anl_eq).
% 1.86/2.05 dependent: set(para_from).
% 1.86/2.05 dependent: set(para_into).
% 1.86/2.05 dependent: clear(para_from_right).
% 1.86/2.05 dependent: clear(para_into_right).
% 1.86/2.05 dependent: set(para_from_vars).
% 1.86/2.05 dependent: set(eq_units_both_ways).
% 1.86/2.05 dependent: set(dynamic_demod_all).
% 1.86/2.05 dependent: set(dynamic_demod).
% 1.86/2.05 dependent: set(order_eq).
% 1.86/2.05 dependent: set(back_demod).
% 1.86/2.05 dependent: set(lrpo).
% 1.86/2.05 dependent: set(hyper_res).
% 1.86/2.05 dependent: set(unit_deletion).
% 1.86/2.05 dependent: set(factor).
% 1.86/2.05
% 1.86/2.05 ------------> process usable:
% 1.86/2.05 ** KEPT (pick-wt=17): 1 [] -in($f1(A),A)| -in($f1(A),powerset(the_carrier($c2)))| -in(set_difference(cast_as_carrier_subset($c2),$f1(A)),$c1).
% 1.89/2.06 ** KEPT (pick-wt=4): 2 [] -v5_membered(A)|v4_membered(A).
% 1.89/2.06 ** KEPT (pick-wt=4): 3 [] -v4_membered(A)|v3_membered(A).
% 1.89/2.06 ** KEPT (pick-wt=4): 4 [] -v3_membered(A)|v2_membered(A).
% 1.89/2.06 ** KEPT (pick-wt=4): 5 [] -v2_membered(A)|v1_membered(A).
% 1.89/2.06 ** KEPT (pick-wt=2): 6 [] -empty($c3).
% 1.89/2.06 ** KEPT (pick-wt=7): 7 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.89/2.06 ** KEPT (pick-wt=7): 8 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.89/2.06 ** KEPT (pick-wt=7): 9 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.89/2.06 ** KEPT (pick-wt=7): 10 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.89/2.06 ** KEPT (pick-wt=7): 11 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.89/2.06 ** KEPT (pick-wt=7): 12 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.89/2.06 ** KEPT (pick-wt=7): 13 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.89/2.06 ** KEPT (pick-wt=7): 14 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.89/2.06 ** KEPT (pick-wt=7): 15 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 1.89/2.06 ** KEPT (pick-wt=7): 16 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.89/2.06 ** KEPT (pick-wt=7): 17 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.89/2.06 ** KEPT (pick-wt=7): 18 [] -v5_membered(A)| -element(B,A)|natural(B).
% 1.89/2.06 ** KEPT (pick-wt=7): 19 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.89/2.06 ** KEPT (pick-wt=7): 20 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 1.89/2.06 ** KEPT (pick-wt=7): 21 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.89/2.06 ** KEPT (pick-wt=8): 22 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.89/2.06 ** KEPT (pick-wt=8): 23 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.89/2.06 ** KEPT (pick-wt=8): 24 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.89/2.06 ** KEPT (pick-wt=8): 25 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.89/2.06 ** KEPT (pick-wt=8): 26 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.89/2.06 ** KEPT (pick-wt=8): 27 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.89/2.06 ** KEPT (pick-wt=8): 28 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.89/2.06 ** KEPT (pick-wt=8): 29 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.89/2.06 ** KEPT (pick-wt=8): 30 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.89/2.06 ** KEPT (pick-wt=8): 31 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 1.89/2.06 ** KEPT (pick-wt=8): 32 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.89/2.06 ** KEPT (pick-wt=8): 33 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.89/2.06 ** KEPT (pick-wt=8): 34 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.89/2.06 ** KEPT (pick-wt=8): 35 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 1.89/2.06 ** KEPT (pick-wt=8): 36 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 1.89/2.06 ** KEPT (pick-wt=6): 37 [] -v1_membered(A)|v1_membered(set_difference(A,B)).
% 1.89/2.06 ** KEPT (pick-wt=6): 38 [] -v2_membered(A)|v1_membered(set_difference(A,B)).
% 1.89/2.06 ** KEPT (pick-wt=6): 39 [] -v2_membered(A)|v2_membered(set_difference(A,B)).
% 1.89/2.06 ** KEPT (pick-wt=6): 40 [] -v3_membered(A)|v1_membered(set_difference(A,B)).
% 1.89/2.06 ** KEPT (pick-wt=6): 41 [] -v3_membered(A)|v2_membered(set_difference(A,B)).
% 1.89/2.06 ** KEPT (pick-wt=6): 42 [] -v3_membered(A)|v3_membered(set_difference(A,B)).
% 1.89/2.06 ** KEPT (pick-wt=6): 43 [] -v4_membered(A)|v1_membered(set_difference(A,B)).
% 1.89/2.06 ** KEPT (pick-wt=6): 44 [] -v4_membered(A)|v2_membered(set_difference(A,B)).
% 1.89/2.06 ** KEPT (pick-wt=6): 45 [] -v4_membered(A)|v3_membered(set_difference(A,B)).
% 1.89/2.06 ** KEPT (pick-wt=6): 46 [] -v4_membered(A)|v4_membered(set_difference(A,B)).
% 1.89/2.06 ** KEPT (pick-wt=6): 47 [] -v5_membered(A)|v1_membered(set_difference(A,B)).
% 1.89/2.06 ** KEPT (pick-wt=6): 48 [] -v5_membered(A)|v2_membered(set_difference(A,B)).
% 1.89/2.06 ** KEPT (pick-wt=6): 49 [] -v5_membered(A)|v3_membered(set_difference(A,B)).
% 1.89/2.06 ** KEPT (pick-wt=6): 50 [] -v5_membered(A)|v4_membered(set_difference(A,B)).
% 1.89/2.06 ** KEPT (pick-wt=6): 51 [] -v5_membered(A)|v5_membered(set_difference(A,B)).
% 1.89/2.06 ** KEPT (pick-wt=10): 52 [] -topological_space(A)| -top_str(A)|element($f2(A),powerset(the_carrier(A))).
% 1.89/2.06 ** KEPT (pick-wt=8): 53 [] -topological_space(A)| -top_str(A)|closed_subset($f2(A),A).
% 1.89/2.06 ** KEPT (pick-wt=5): 54 [] empty(A)| -empty($f3(A)).
% 1.89/2.06 ** KEPT (pick-wt=4): 55 [] -empty(A)|v1_membered(A).
% 1.89/2.06 ** KEPT (pick-wt=4): 56 [] -empty(A)|v2_membered(A).
% 1.89/2.06 ** KEPT (pick-wt=4): 57 [] -empty(A)|v3_membered(A).
% 1.89/2.06 ** KEPT (pick-wt=4): 58 [] -empty(A)|v4_membered(A).
% 1.89/2.06 ** KEPT (pick-wt=4): 59 [] -empty(A)|v5_membered(A).
% 1.89/2.06 ** KEPT (pick-wt=6): 60 [] -in(A,B)| -in(B,A).
% 1.89/2.06 ** KEPT (pick-wt=8): 61 [] -one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))).
% 1.89/2.06 ** KEPT (pick-wt=4): 62 [] -top_str(A)|one_sorted_str(A).
% 1.89/2.06 ** KEPT (pick-wt=8): 63 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 1.89/2.06 ** KEPT (pick-wt=3): 64 [] -empty(powerset(A)).
% 1.89/2.06 ** KEPT (pick-wt=30): 65 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f7(A,B)=$f6(A,B)| -in(C,$f9(A,B))|in($f8(A,B,C),powerset(the_carrier(A))).
% 1.89/2.06 ** KEPT (pick-wt=28): 66 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f7(A,B)=$f6(A,B)| -in(C,$f9(A,B))|$f8(A,B,C)=C.
% 1.89/2.06 ** KEPT (pick-wt=28): 67 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f7(A,B)=$f6(A,B)| -in(C,$f9(A,B))|in(set_difference(cast_as_carrier_subset(A),C),B).
% 1.89/2.06 ** KEPT (pick-wt=36): 68 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f7(A,B)=$f6(A,B)|in(C,$f9(A,B))| -in(D,powerset(the_carrier(A)))|D!=C| -in(set_difference(cast_as_carrier_subset(A),C),B).
% 1.89/2.06 ** KEPT (pick-wt=31): 69 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(set_difference(cast_as_carrier_subset(A),$f6(A,B)),B)| -in(C,$f9(A,B))|in($f8(A,B,C),powerset(the_carrier(A))).
% 1.89/2.06 ** KEPT (pick-wt=29): 70 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(set_difference(cast_as_carrier_subset(A),$f6(A,B)),B)| -in(C,$f9(A,B))|$f8(A,B,C)=C.
% 1.89/2.06 ** KEPT (pick-wt=29): 71 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(set_difference(cast_as_carrier_subset(A),$f6(A,B)),B)| -in(C,$f9(A,B))|in(set_difference(cast_as_carrier_subset(A),C),B).
% 1.89/2.06 ** KEPT (pick-wt=37): 72 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(set_difference(cast_as_carrier_subset(A),$f6(A,B)),B)|in(C,$f9(A,B))| -in(D,powerset(the_carrier(A)))|D!=C| -in(set_difference(cast_as_carrier_subset(A),C),B).
% 1.89/2.06 ** KEPT (pick-wt=30): 73 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f7(A,B)=$f5(A,B)| -in(C,$f9(A,B))|in($f8(A,B,C),powerset(the_carrier(A))).
% 1.89/2.06 ** KEPT (pick-wt=28): 74 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f7(A,B)=$f5(A,B)| -in(C,$f9(A,B))|$f8(A,B,C)=C.
% 1.89/2.06 ** KEPT (pick-wt=28): 75 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f7(A,B)=$f5(A,B)| -in(C,$f9(A,B))|in(set_difference(cast_as_carrier_subset(A),C),B).
% 1.89/2.06 ** KEPT (pick-wt=36): 76 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f7(A,B)=$f5(A,B)|in(C,$f9(A,B))| -in(D,powerset(the_carrier(A)))|D!=C| -in(set_difference(cast_as_carrier_subset(A),C),B).
% 1.89/2.06 ** KEPT (pick-wt=31): 77 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(set_difference(cast_as_carrier_subset(A),$f5(A,B)),B)| -in(C,$f9(A,B))|in($f8(A,B,C),powerset(the_carrier(A))).
% 1.89/2.06 ** KEPT (pick-wt=29): 78 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(set_difference(cast_as_carrier_subset(A),$f5(A,B)),B)| -in(C,$f9(A,B))|$f8(A,B,C)=C.
% 1.89/2.06 ** KEPT (pick-wt=29): 79 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(set_difference(cast_as_carrier_subset(A),$f5(A,B)),B)| -in(C,$f9(A,B))|in(set_difference(cast_as_carrier_subset(A),C),B).
% 1.89/2.06 ** KEPT (pick-wt=37): 80 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(set_difference(cast_as_carrier_subset(A),$f5(A,B)),B)|in(C,$f9(A,B))| -in(D,powerset(the_carrier(A)))|D!=C| -in(set_difference(cast_as_carrier_subset(A),C),B).
% 1.89/2.06 ** KEPT (pick-wt=30): 81 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f6(A,B)!=$f5(A,B)| -in(C,$f9(A,B))|in($f8(A,B,C),powerset(the_carrier(A))).
% 2.07/2.26 ** KEPT (pick-wt=28): 82 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f6(A,B)!=$f5(A,B)| -in(C,$f9(A,B))|$f8(A,B,C)=C.
% 2.07/2.26 ** KEPT (pick-wt=28): 83 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f6(A,B)!=$f5(A,B)| -in(C,$f9(A,B))|in(set_difference(cast_as_carrier_subset(A),C),B).
% 2.07/2.26 ** KEPT (pick-wt=36): 84 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f6(A,B)!=$f5(A,B)|in(C,$f9(A,B))| -in(D,powerset(the_carrier(A)))|D!=C| -in(set_difference(cast_as_carrier_subset(A),C),B).
% 2.07/2.26
% 2.07/2.26 ------------> process sos:
% 2.07/2.26 ** KEPT (pick-wt=3): 95 [] A=A.
% 2.07/2.26 ** KEPT (pick-wt=2): 96 [] topological_space($c2).
% 2.07/2.26 ** KEPT (pick-wt=2): 97 [] top_str($c2).
% 2.07/2.26 ** KEPT (pick-wt=6): 98 [] element($c1,powerset(powerset(the_carrier($c2)))).
% 2.07/2.26 ** KEPT (pick-wt=10): 99 [] in($f1(A),A)|in($f1(A),powerset(the_carrier($c2))).
% 2.07/2.26 ** KEPT (pick-wt=11): 100 [] in($f1(A),A)|in(set_difference(cast_as_carrier_subset($c2),$f1(A)),$c1).
% 2.07/2.26 ** KEPT (pick-wt=2): 101 [] v1_membered($c3).
% 2.07/2.26 ** KEPT (pick-wt=2): 102 [] v2_membered($c3).
% 2.07/2.26 ** KEPT (pick-wt=2): 103 [] v3_membered($c3).
% 2.07/2.26 ** KEPT (pick-wt=2): 104 [] v4_membered($c3).
% 2.07/2.26 ** KEPT (pick-wt=2): 105 [] v5_membered($c3).
% 2.07/2.26 ** KEPT (pick-wt=7): 106 [] empty(A)|element($f3(A),powerset(A)).
% 2.07/2.26 ** KEPT (pick-wt=5): 107 [] element($f4(A),powerset(A)).
% 2.07/2.26 ** KEPT (pick-wt=3): 108 [] empty($f4(A)).
% 2.07/2.26 Following clause subsumed by 95 during input processing: 0 [copy,95,flip.1] A=A.
% 2.07/2.26
% 2.07/2.26 ======= end of input processing =======
% 2.07/2.26
% 2.07/2.26 =========== start of search ===========
% 2.07/2.26
% 2.07/2.26
% 2.07/2.26 Resetting weight limit to 13.
% 2.07/2.26
% 2.07/2.26
% 2.07/2.26 Resetting weight limit to 13.
% 2.07/2.26
% 2.07/2.26 sos_size=228
% 2.07/2.26
% 2.07/2.26
% 2.07/2.26 Resetting weight limit to 11.
% 2.07/2.26
% 2.07/2.26
% 2.07/2.26 Resetting weight limit to 11.
% 2.07/2.26
% 2.07/2.26 sos_size=68
% 2.07/2.26
% 2.07/2.26 Search stopped because sos empty.
% 2.07/2.26
% 2.07/2.26
% 2.07/2.26 Search stopped because sos empty.
% 2.07/2.26
% 2.07/2.26 ============ end of search ============
% 2.07/2.26
% 2.07/2.26 -------------- statistics -------------
% 2.07/2.26 clauses given 432
% 2.07/2.26 clauses generated 12381
% 2.07/2.26 clauses kept 707
% 2.07/2.26 clauses forward subsumed 4792
% 2.07/2.26 clauses back subsumed 152
% 2.07/2.26 Kbytes malloced 4882
% 2.07/2.26
% 2.07/2.26 ----------- times (seconds) -----------
% 2.07/2.26 user CPU time 0.20 (0 hr, 0 min, 0 sec)
% 2.07/2.26 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.07/2.26 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.07/2.26
% 2.07/2.26 Process 1925 finished Wed Jul 27 07:32:13 2022
% 2.07/2.26 Otter interrupted
% 2.07/2.26 PROOF NOT FOUND
%------------------------------------------------------------------------------