TSTP Solution File: SEU327+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU327+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.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 13:15:41 EDT 2022
% Result : Unknown 2.84s 3.03s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU327+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n020.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
% 0.12/0.34 % DateTime : Wed Jul 27 07:44:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.29/2.48 ----- Otter 3.3f, August 2004 -----
% 2.29/2.48 The process was started by sandbox2 on n020.cluster.edu,
% 2.29/2.48 Wed Jul 27 07:44:08 2022
% 2.29/2.48 The command was "./otter". The process ID is 31141.
% 2.29/2.48
% 2.29/2.48 set(prolog_style_variables).
% 2.29/2.48 set(auto).
% 2.29/2.48 dependent: set(auto1).
% 2.29/2.48 dependent: set(process_input).
% 2.29/2.48 dependent: clear(print_kept).
% 2.29/2.48 dependent: clear(print_new_demod).
% 2.29/2.48 dependent: clear(print_back_demod).
% 2.29/2.48 dependent: clear(print_back_sub).
% 2.29/2.48 dependent: set(control_memory).
% 2.29/2.48 dependent: assign(max_mem, 12000).
% 2.29/2.48 dependent: assign(pick_given_ratio, 4).
% 2.29/2.48 dependent: assign(stats_level, 1).
% 2.29/2.48 dependent: assign(max_seconds, 10800).
% 2.29/2.48 clear(print_given).
% 2.29/2.48
% 2.29/2.48 formula_list(usable).
% 2.29/2.48 all A (A=A).
% 2.29/2.48 all A B (in(A,B)-> -in(B,A)).
% 2.29/2.48 all A (v1_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)))).
% 2.29/2.48 all A (v2_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)))).
% 2.29/2.48 all A (v3_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)&v1_rat_1(B)))).
% 2.29/2.48 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)))).
% 2.29/2.48 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)))).
% 2.29/2.48 all A (empty(A)->v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 2.29/2.48 all A (v1_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)))).
% 2.29/2.48 all A (v2_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)))).
% 2.29/2.48 all A (v3_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)))).
% 2.29/2.48 all A (v4_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)))).
% 2.29/2.48 all A (v5_membered(A)->v4_membered(A)).
% 2.29/2.48 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)))).
% 2.29/2.48 all A (v4_membered(A)->v3_membered(A)).
% 2.29/2.48 all A (v3_membered(A)->v2_membered(A)).
% 2.29/2.48 all A (v2_membered(A)->v1_membered(A)).
% 2.29/2.48 all A (cast_to_subset(A)=A).
% 2.29/2.48 all A B (element(B,powerset(A))->subset_complement(A,B)=set_difference(A,B)).
% 2.29/2.48 $T.
% 2.29/2.48 $T.
% 2.29/2.48 $T.
% 2.29/2.48 all A element(cast_to_subset(A),powerset(A)).
% 2.29/2.48 all A B (element(B,powerset(A))->element(subset_complement(A,B),powerset(A))).
% 2.29/2.48 $T.
% 2.29/2.48 $T.
% 2.29/2.48 all A B (element(B,powerset(powerset(A)))->element(union_of_subsets(A,B),powerset(A))).
% 2.29/2.48 all A B (element(B,powerset(powerset(A)))->element(meet_of_subsets(A,B),powerset(A))).
% 2.29/2.48 all A B C (element(B,powerset(A))&element(C,powerset(A))->element(subset_difference(A,B,C),powerset(A))).
% 2.29/2.48 all A B (element(B,powerset(powerset(A)))->element(complements_of_subsets(A,B),powerset(powerset(A)))).
% 2.29/2.48 $T.
% 2.29/2.48 all A exists B element(B,A).
% 2.29/2.48 all A (-empty(powerset(A))).
% 2.29/2.48 all A B (v1_membered(A)->v1_membered(set_difference(A,B))).
% 2.29/2.48 all A B (v2_membered(A)->v1_membered(set_difference(A,B))&v2_membered(set_difference(A,B))).
% 2.29/2.48 all A B (v3_membered(A)->v1_membered(set_difference(A,B))&v2_membered(set_difference(A,B))&v3_membered(set_difference(A,B))).
% 2.29/2.48 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))).
% 2.29/2.48 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))).
% 2.29/2.48 empty(empty_set).
% 2.29/2.48 v1_membered(empty_set).
% 2.29/2.48 v2_membered(empty_set).
% 2.29/2.48 v3_membered(empty_set).
% 2.29/2.48 v4_membered(empty_set).
% 2.29/2.48 v5_membered(empty_set).
% 2.29/2.48 all A B (element(B,powerset(A))->subset_complement(A,subset_complement(A,B))=B).
% 2.29/2.48 all A B (element(B,powerset(powerset(A)))->complements_of_subsets(A,complements_of_subsets(A,B))=B).
% 2.29/2.48 exists A (-empty(A)&v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 2.29/2.48 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.29/2.48 all A exists B (element(B,powerset(A))&empty(B)).
% 2.29/2.48 all A B (element(B,powerset(powerset(A)))->union_of_subsets(A,B)=union(B)).
% 2.29/2.48 all A B (element(B,powerset(powerset(A)))->meet_of_subsets(A,B)=set_meet(B)).
% 2.29/2.48 all A B C (element(B,powerset(A))&element(C,powerset(A))->subset_difference(A,B,C)=set_difference(B,C)).
% 2.29/2.48 all A B subset(A,A).
% 2.29/2.48 -(all A B (element(B,powerset(powerset(A)))-> (B!=empty_set->meet_of_subsets(A,complements_of_subsets(A,B))=subset_complement(A,union_of_subsets(A,B))))).
% 2.29/2.48 all A B (in(A,B)->element(A,B)).
% 2.29/2.48 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.29/2.48 all A (set_difference(A,empty_set)=A).
% 2.29/2.48 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.29/2.48 all A B (element(B,powerset(powerset(A)))-> (B!=empty_set->subset_difference(A,cast_to_subset(A),union_of_subsets(A,B))=meet_of_subsets(A,complements_of_subsets(A,B)))).
% 2.29/2.48 all A (set_difference(empty_set,A)=empty_set).
% 2.29/2.48 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.29/2.48 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.29/2.48 all A (empty(A)->A=empty_set).
% 2.29/2.48 all A B (-(in(A,B)&empty(B))).
% 2.29/2.48 all A B (-(empty(A)&A!=B&empty(B))).
% 2.29/2.48 end_of_list.
% 2.29/2.48
% 2.29/2.48 -------> usable clausifies to:
% 2.29/2.48
% 2.29/2.48 list(usable).
% 2.29/2.48 0 [] A=A.
% 2.29/2.48 0 [] -in(A,B)| -in(B,A).
% 2.29/2.48 0 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.29/2.48 0 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.29/2.48 0 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.29/2.48 0 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.29/2.48 0 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.29/2.48 0 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.29/2.48 0 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.29/2.48 0 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.29/2.48 0 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 2.29/2.48 0 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.29/2.48 0 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.29/2.48 0 [] -v5_membered(A)| -element(B,A)|natural(B).
% 2.29/2.48 0 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.29/2.48 0 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 2.29/2.48 0 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.29/2.48 0 [] -empty(A)|v1_membered(A).
% 2.29/2.48 0 [] -empty(A)|v2_membered(A).
% 2.29/2.48 0 [] -empty(A)|v3_membered(A).
% 2.29/2.48 0 [] -empty(A)|v4_membered(A).
% 2.29/2.48 0 [] -empty(A)|v5_membered(A).
% 2.29/2.48 0 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.29/2.48 0 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.29/2.48 0 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.29/2.48 0 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.29/2.48 0 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.29/2.48 0 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.29/2.48 0 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.29/2.48 0 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.29/2.48 0 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.29/2.48 0 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.29/2.48 0 [] -v5_membered(A)|v4_membered(A).
% 2.29/2.48 0 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.29/2.48 0 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.29/2.48 0 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.29/2.48 0 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.29/2.48 0 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 2.29/2.48 0 [] -v4_membered(A)|v3_membered(A).
% 2.29/2.48 0 [] -v3_membered(A)|v2_membered(A).
% 2.29/2.48 0 [] -v2_membered(A)|v1_membered(A).
% 2.29/2.48 0 [] cast_to_subset(A)=A.
% 2.29/2.48 0 [] -element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B).
% 2.29/2.48 0 [] $T.
% 2.29/2.48 0 [] $T.
% 2.29/2.48 0 [] $T.
% 2.29/2.48 0 [] element(cast_to_subset(A),powerset(A)).
% 2.29/2.48 0 [] -element(B,powerset(A))|element(subset_complement(A,B),powerset(A)).
% 2.29/2.48 0 [] $T.
% 2.29/2.48 0 [] $T.
% 2.29/2.48 0 [] -element(B,powerset(powerset(A)))|element(union_of_subsets(A,B),powerset(A)).
% 2.29/2.48 0 [] -element(B,powerset(powerset(A)))|element(meet_of_subsets(A,B),powerset(A)).
% 2.29/2.48 0 [] -element(B,powerset(A))| -element(C,powerset(A))|element(subset_difference(A,B,C),powerset(A)).
% 2.29/2.48 0 [] -element(B,powerset(powerset(A)))|element(complements_of_subsets(A,B),powerset(powerset(A))).
% 2.29/2.48 0 [] $T.
% 2.29/2.48 0 [] element($f1(A),A).
% 2.29/2.48 0 [] -empty(powerset(A)).
% 2.29/2.48 0 [] -v1_membered(A)|v1_membered(set_difference(A,B)).
% 2.29/2.48 0 [] -v2_membered(A)|v1_membered(set_difference(A,B)).
% 2.29/2.48 0 [] -v2_membered(A)|v2_membered(set_difference(A,B)).
% 2.29/2.48 0 [] -v3_membered(A)|v1_membered(set_difference(A,B)).
% 2.29/2.48 0 [] -v3_membered(A)|v2_membered(set_difference(A,B)).
% 2.29/2.48 0 [] -v3_membered(A)|v3_membered(set_difference(A,B)).
% 2.29/2.48 0 [] -v4_membered(A)|v1_membered(set_difference(A,B)).
% 2.29/2.48 0 [] -v4_membered(A)|v2_membered(set_difference(A,B)).
% 2.29/2.48 0 [] -v4_membered(A)|v3_membered(set_difference(A,B)).
% 2.29/2.48 0 [] -v4_membered(A)|v4_membered(set_difference(A,B)).
% 2.29/2.48 0 [] -v5_membered(A)|v1_membered(set_difference(A,B)).
% 2.29/2.48 0 [] -v5_membered(A)|v2_membered(set_difference(A,B)).
% 2.29/2.48 0 [] -v5_membered(A)|v3_membered(set_difference(A,B)).
% 2.29/2.48 0 [] -v5_membered(A)|v4_membered(set_difference(A,B)).
% 2.29/2.48 0 [] -v5_membered(A)|v5_membered(set_difference(A,B)).
% 2.29/2.48 0 [] empty(empty_set).
% 2.29/2.48 0 [] v1_membered(empty_set).
% 2.29/2.48 0 [] v2_membered(empty_set).
% 2.29/2.48 0 [] v3_membered(empty_set).
% 2.29/2.48 0 [] v4_membered(empty_set).
% 2.29/2.48 0 [] v5_membered(empty_set).
% 2.29/2.48 0 [] -element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B.
% 2.29/2.48 0 [] -element(B,powerset(powerset(A)))|complements_of_subsets(A,complements_of_subsets(A,B))=B.
% 2.29/2.48 0 [] -empty($c1).
% 2.29/2.48 0 [] v1_membered($c1).
% 2.29/2.48 0 [] v2_membered($c1).
% 2.29/2.48 0 [] v3_membered($c1).
% 2.29/2.48 0 [] v4_membered($c1).
% 2.29/2.48 0 [] v5_membered($c1).
% 2.29/2.48 0 [] empty(A)|element($f2(A),powerset(A)).
% 2.29/2.48 0 [] empty(A)| -empty($f2(A)).
% 2.29/2.48 0 [] element($f3(A),powerset(A)).
% 2.29/2.48 0 [] empty($f3(A)).
% 2.29/2.48 0 [] -element(B,powerset(powerset(A)))|union_of_subsets(A,B)=union(B).
% 2.29/2.48 0 [] -element(B,powerset(powerset(A)))|meet_of_subsets(A,B)=set_meet(B).
% 2.29/2.48 0 [] -element(B,powerset(A))| -element(C,powerset(A))|subset_difference(A,B,C)=set_difference(B,C).
% 2.29/2.48 0 [] subset(A,A).
% 2.29/2.48 0 [] element($c2,powerset(powerset($c3))).
% 2.29/2.48 0 [] $c2!=empty_set.
% 2.29/2.48 0 [] meet_of_subsets($c3,complements_of_subsets($c3,$c2))!=subset_complement($c3,union_of_subsets($c3,$c2)).
% 2.29/2.48 0 [] -in(A,B)|element(A,B).
% 2.29/2.48 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.29/2.48 0 [] set_difference(A,empty_set)=A.
% 2.29/2.48 0 [] -element(A,powerset(B))|subset(A,B).
% 2.29/2.48 0 [] element(A,powerset(B))| -subset(A,B).
% 2.29/2.48 0 [] -element(B,powerset(powerset(A)))|B=empty_set|subset_difference(A,cast_to_subset(A),union_of_subsets(A,B))=meet_of_subsets(A,complements_of_subsets(A,B)).
% 2.29/2.48 0 [] set_difference(empty_set,A)=empty_set.
% 2.29/2.48 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.29/2.48 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.29/2.48 0 [] -empty(A)|A=empty_set.
% 2.29/2.48 0 [] -in(A,B)| -empty(B).
% 2.29/2.48 0 [] -empty(A)|A=B| -empty(B).
% 2.29/2.48 end_of_list.
% 2.29/2.48
% 2.29/2.48 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 2.29/2.48
% 2.29/2.48 This ia a non-Horn set with equality. The strategy will be
% 2.29/2.48 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.29/2.48 deletion, with positive clauses in sos and nonpositive
% 2.29/2.48 clauses in usable.
% 2.29/2.48
% 2.29/2.48 dependent: set(knuth_bendix).
% 2.29/2.48 dependent: set(anl_eq).
% 2.29/2.48 dependent: set(para_from).
% 2.29/2.48 dependent: set(para_into).
% 2.29/2.48 dependent: clear(para_from_right).
% 2.29/2.48 dependent: clear(para_into_right).
% 2.29/2.48 dependent: set(para_from_vars).
% 2.29/2.48 dependent: set(eq_units_both_ways).
% 2.29/2.48 dependent: set(dynamic_demod_all).
% 2.29/2.48 dependent: set(dynamic_demod).
% 2.29/2.48 dependent: set(order_eq).
% 2.29/2.48 dependent: set(back_demod).
% 2.29/2.48 dependent: set(lrpo).
% 2.29/2.48 dependent: set(hyper_res).
% 2.29/2.48 dependent: set(unit_deletion).
% 2.29/2.48 dependent: set(factor).
% 2.29/2.48
% 2.29/2.48 ------------> process usable:
% 2.29/2.48 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 2.29/2.48 ** KEPT (pick-wt=7): 2 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.29/2.48 ** KEPT (pick-wt=7): 3 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.29/2.48 ** KEPT (pick-wt=7): 4 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.29/2.48 ** KEPT (pick-wt=7): 5 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.29/2.48 ** KEPT (pick-wt=7): 6 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.29/2.48 ** KEPT (pick-wt=7): 7 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.29/2.48 ** KEPT (pick-wt=7): 8 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.29/2.48 ** KEPT (pick-wt=7): 9 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.29/2.48 ** KEPT (pick-wt=7): 10 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 2.29/2.48 ** KEPT (pick-wt=7): 11 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.29/2.48 ** KEPT (pick-wt=7): 12 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.29/2.48 ** KEPT (pick-wt=7): 13 [] -v5_membered(A)| -element(B,A)|natural(B).
% 2.29/2.48 ** KEPT (pick-wt=7): 14 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.29/2.48 ** KEPT (pick-wt=7): 15 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 2.29/2.48 ** KEPT (pick-wt=7): 16 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.29/2.48 ** KEPT (pick-wt=4): 17 [] -empty(A)|v1_membered(A).
% 2.29/2.48 ** KEPT (pick-wt=4): 18 [] -empty(A)|v2_membered(A).
% 2.29/2.48 ** KEPT (pick-wt=4): 19 [] -empty(A)|v3_membered(A).
% 2.29/2.48 ** KEPT (pick-wt=4): 20 [] -empty(A)|v4_membered(A).
% 2.29/2.48 ** KEPT (pick-wt=4): 21 [] -empty(A)|v5_membered(A).
% 2.29/2.48 ** KEPT (pick-wt=8): 22 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.29/2.49 ** KEPT (pick-wt=8): 23 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.29/2.49 ** KEPT (pick-wt=8): 24 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.29/2.49 ** KEPT (pick-wt=8): 25 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.29/2.49 ** KEPT (pick-wt=8): 26 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.29/2.49 ** KEPT (pick-wt=8): 27 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.29/2.49 ** KEPT (pick-wt=8): 28 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.29/2.49 ** KEPT (pick-wt=8): 29 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.29/2.49 ** KEPT (pick-wt=8): 30 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.29/2.49 ** KEPT (pick-wt=8): 31 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.29/2.49 ** KEPT (pick-wt=4): 32 [] -v5_membered(A)|v4_membered(A).
% 2.29/2.49 ** KEPT (pick-wt=8): 33 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.29/2.49 ** KEPT (pick-wt=8): 34 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.29/2.49 ** KEPT (pick-wt=8): 35 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.29/2.49 ** KEPT (pick-wt=8): 36 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.29/2.49 ** KEPT (pick-wt=8): 37 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 2.29/2.49 ** KEPT (pick-wt=4): 38 [] -v4_membered(A)|v3_membered(A).
% 2.29/2.49 ** KEPT (pick-wt=4): 39 [] -v3_membered(A)|v2_membered(A).
% 2.29/2.49 ** KEPT (pick-wt=4): 40 [] -v2_membered(A)|v1_membered(A).
% 2.29/2.49 ** KEPT (pick-wt=11): 41 [] -element(A,powerset(B))|subset_complement(B,A)=set_difference(B,A).
% 2.29/2.49 ** KEPT (pick-wt=10): 42 [] -element(A,powerset(B))|element(subset_complement(B,A),powerset(B)).
% 2.29/2.49 ** KEPT (pick-wt=11): 43 [] -element(A,powerset(powerset(B)))|element(union_of_subsets(B,A),powerset(B)).
% 2.29/2.49 ** KEPT (pick-wt=11): 44 [] -element(A,powerset(powerset(B)))|element(meet_of_subsets(B,A),powerset(B)).
% 2.29/2.49 ** KEPT (pick-wt=15): 45 [] -element(A,powerset(B))| -element(C,powerset(B))|element(subset_difference(B,A,C),powerset(B)).
% 2.29/2.49 ** KEPT (pick-wt=12): 46 [] -element(A,powerset(powerset(B)))|element(complements_of_subsets(B,A),powerset(powerset(B))).
% 2.29/2.49 ** KEPT (pick-wt=3): 47 [] -empty(powerset(A)).
% 2.29/2.49 ** KEPT (pick-wt=6): 48 [] -v1_membered(A)|v1_membered(set_difference(A,B)).
% 2.29/2.49 ** KEPT (pick-wt=6): 49 [] -v2_membered(A)|v1_membered(set_difference(A,B)).
% 2.29/2.49 ** KEPT (pick-wt=6): 50 [] -v2_membered(A)|v2_membered(set_difference(A,B)).
% 2.29/2.49 ** KEPT (pick-wt=6): 51 [] -v3_membered(A)|v1_membered(set_difference(A,B)).
% 2.29/2.49 ** KEPT (pick-wt=6): 52 [] -v3_membered(A)|v2_membered(set_difference(A,B)).
% 2.29/2.49 ** KEPT (pick-wt=6): 53 [] -v3_membered(A)|v3_membered(set_difference(A,B)).
% 2.29/2.49 ** KEPT (pick-wt=6): 54 [] -v4_membered(A)|v1_membered(set_difference(A,B)).
% 2.29/2.49 ** KEPT (pick-wt=6): 55 [] -v4_membered(A)|v2_membered(set_difference(A,B)).
% 2.29/2.49 ** KEPT (pick-wt=6): 56 [] -v4_membered(A)|v3_membered(set_difference(A,B)).
% 2.29/2.49 ** KEPT (pick-wt=6): 57 [] -v4_membered(A)|v4_membered(set_difference(A,B)).
% 2.29/2.49 ** KEPT (pick-wt=6): 58 [] -v5_membered(A)|v1_membered(set_difference(A,B)).
% 2.29/2.49 ** KEPT (pick-wt=6): 59 [] -v5_membered(A)|v2_membered(set_difference(A,B)).
% 2.29/2.49 ** KEPT (pick-wt=6): 60 [] -v5_membered(A)|v3_membered(set_difference(A,B)).
% 2.29/2.49 ** KEPT (pick-wt=6): 61 [] -v5_membered(A)|v4_membered(set_difference(A,B)).
% 2.29/2.49 ** KEPT (pick-wt=6): 62 [] -v5_membered(A)|v5_membered(set_difference(A,B)).
% 2.29/2.49 ** KEPT (pick-wt=11): 63 [] -element(A,powerset(B))|subset_complement(B,subset_complement(B,A))=A.
% 2.29/2.49 ** KEPT (pick-wt=12): 64 [] -element(A,powerset(powerset(B)))|complements_of_subsets(B,complements_of_subsets(B,A))=A.
% 2.29/2.49 ** KEPT (pick-wt=2): 65 [] -empty($c1).
% 2.29/2.49 ** KEPT (pick-wt=5): 66 [] empty(A)| -empty($f2(A)).
% 2.29/2.49 ** KEPT (pick-wt=11): 67 [] -element(A,powerset(powerset(B)))|union_of_subsets(B,A)=union(A).
% 2.29/2.49 ** KEPT (pick-wt=11): 68 [] -element(A,powerset(powerset(B)))|meet_of_subsets(B,A)=set_meet(A).
% 2.29/2.49 ** KEPT (pick-wt=16): 69 [] -element(A,powerset(B))| -element(C,powerset(B))|subset_difference(B,A,C)=set_difference(A,C).
% 2.29/2.49 ** KEPT (pick-wt=3): 71 [copy,70,flip.1] empty_set!=$c2.
% 2.29/2.49 ** KEPT (pick-wt=11): 73 [copy,72,flip.1] subset_complement($c3,union_of_subsets($c3,$c2))!=meet_of_subsets($c3,complements_of_subsets($c3,$c2)).
% 2.84/3.03 ** KEPT (pick-wt=6): 74 [] -in(A,B)|element(A,B).
% 2.84/3.03 ** KEPT (pick-wt=8): 75 [] -element(A,B)|empty(B)|in(A,B).
% 2.84/3.03 ** KEPT (pick-wt=7): 76 [] -element(A,powerset(B))|subset(A,B).
% 2.84/3.03 ** KEPT (pick-wt=7): 77 [] element(A,powerset(B))| -subset(A,B).
% 2.84/3.03 ** KEPT (pick-wt=21): 78 [] -element(A,powerset(powerset(B)))|A=empty_set|subset_difference(B,cast_to_subset(B),union_of_subsets(B,A))=meet_of_subsets(B,complements_of_subsets(B,A)).
% 2.84/3.03 ** KEPT (pick-wt=10): 79 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.84/3.03 ** KEPT (pick-wt=9): 80 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.84/3.03 ** KEPT (pick-wt=5): 81 [] -empty(A)|A=empty_set.
% 2.84/3.03 ** KEPT (pick-wt=5): 82 [] -in(A,B)| -empty(B).
% 2.84/3.03 ** KEPT (pick-wt=7): 83 [] -empty(A)|A=B| -empty(B).
% 2.84/3.03
% 2.84/3.03 ------------> process sos:
% 2.84/3.03 ** KEPT (pick-wt=3): 88 [] A=A.
% 2.84/3.03 ** KEPT (pick-wt=4): 89 [] cast_to_subset(A)=A.
% 2.84/3.03 ---> New Demodulator: 90 [new_demod,89] cast_to_subset(A)=A.
% 2.84/3.03 ** KEPT (pick-wt=4): 92 [copy,91,demod,90] element(A,powerset(A)).
% 2.84/3.03 ** KEPT (pick-wt=4): 93 [] element($f1(A),A).
% 2.84/3.03 ** KEPT (pick-wt=2): 94 [] empty(empty_set).
% 2.84/3.03 ** KEPT (pick-wt=2): 95 [] v1_membered(empty_set).
% 2.84/3.03 ** KEPT (pick-wt=2): 96 [] v2_membered(empty_set).
% 2.84/3.03 ** KEPT (pick-wt=2): 97 [] v3_membered(empty_set).
% 2.84/3.03 ** KEPT (pick-wt=2): 98 [] v4_membered(empty_set).
% 2.84/3.03 ** KEPT (pick-wt=2): 99 [] v5_membered(empty_set).
% 2.84/3.03 ** KEPT (pick-wt=2): 100 [] v1_membered($c1).
% 2.84/3.03 ** KEPT (pick-wt=2): 101 [] v2_membered($c1).
% 2.84/3.03 ** KEPT (pick-wt=2): 102 [] v3_membered($c1).
% 2.84/3.03 ** KEPT (pick-wt=2): 103 [] v4_membered($c1).
% 2.84/3.03 ** KEPT (pick-wt=2): 104 [] v5_membered($c1).
% 2.84/3.03 ** KEPT (pick-wt=7): 105 [] empty(A)|element($f2(A),powerset(A)).
% 2.84/3.03 ** KEPT (pick-wt=5): 106 [] element($f3(A),powerset(A)).
% 2.84/3.03 ** KEPT (pick-wt=3): 107 [] empty($f3(A)).
% 2.84/3.03 ** KEPT (pick-wt=3): 108 [] subset(A,A).
% 2.84/3.03 ** KEPT (pick-wt=5): 109 [] element($c2,powerset(powerset($c3))).
% 2.84/3.03 ** KEPT (pick-wt=5): 110 [] set_difference(A,empty_set)=A.
% 2.84/3.03 ---> New Demodulator: 111 [new_demod,110] set_difference(A,empty_set)=A.
% 2.84/3.03 ** KEPT (pick-wt=5): 112 [] set_difference(empty_set,A)=empty_set.
% 2.84/3.03 ---> New Demodulator: 113 [new_demod,112] set_difference(empty_set,A)=empty_set.
% 2.84/3.03 Following clause subsumed by 88 during input processing: 0 [copy,88,flip.1] A=A.
% 2.84/3.03 88 back subsumes 87.
% 2.84/3.03 >>>> Starting back demodulation with 90.
% 2.84/3.03 >> back demodulating 78 with 90.
% 2.84/3.03 >>>> Starting back demodulation with 111.
% 2.84/3.03 >>>> Starting back demodulation with 113.
% 2.84/3.03
% 2.84/3.03 ======= end of input processing =======
% 2.84/3.03
% 2.84/3.03 =========== start of search ===========
% 2.84/3.03
% 2.84/3.03
% 2.84/3.03 Resetting weight limit to 5.
% 2.84/3.03
% 2.84/3.03
% 2.84/3.03 Resetting weight limit to 5.
% 2.84/3.03
% 2.84/3.03 sos_size=323
% 2.84/3.03
% 2.84/3.03 Search stopped because sos empty.
% 2.84/3.03
% 2.84/3.03
% 2.84/3.03 Search stopped because sos empty.
% 2.84/3.03
% 2.84/3.03 ============ end of search ============
% 2.84/3.03
% 2.84/3.03 -------------- statistics -------------
% 2.84/3.03 clauses given 553
% 2.84/3.03 clauses generated 64389
% 2.84/3.03 clauses kept 724
% 2.84/3.03 clauses forward subsumed 4640
% 2.84/3.03 clauses back subsumed 113
% 2.84/3.03 Kbytes malloced 7812
% 2.84/3.03
% 2.84/3.03 ----------- times (seconds) -----------
% 2.84/3.03 user CPU time 0.54 (0 hr, 0 min, 0 sec)
% 2.84/3.03 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.84/3.03 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 2.84/3.03
% 2.84/3.03 Process 31141 finished Wed Jul 27 07:44:11 2022
% 2.84/3.03 Otter interrupted
% 2.84/3.03 PROOF NOT FOUND
%------------------------------------------------------------------------------