TSTP Solution File: SEU313+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU313+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n025.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 : Timeout 299.85s 300.05s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU313+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n025.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 08:01:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.35/2.56 ----- Otter 3.3f, August 2004 -----
% 2.35/2.56 The process was started by sandbox2 on n025.cluster.edu,
% 2.35/2.56 Wed Jul 27 08:01:30 2022
% 2.35/2.56 The command was "./otter". The process ID is 18844.
% 2.35/2.56
% 2.35/2.56 set(prolog_style_variables).
% 2.35/2.56 set(auto).
% 2.35/2.56 dependent: set(auto1).
% 2.35/2.56 dependent: set(process_input).
% 2.35/2.56 dependent: clear(print_kept).
% 2.35/2.56 dependent: clear(print_new_demod).
% 2.35/2.56 dependent: clear(print_back_demod).
% 2.35/2.56 dependent: clear(print_back_sub).
% 2.35/2.56 dependent: set(control_memory).
% 2.35/2.56 dependent: assign(max_mem, 12000).
% 2.35/2.56 dependent: assign(pick_given_ratio, 4).
% 2.35/2.56 dependent: assign(stats_level, 1).
% 2.35/2.56 dependent: assign(max_seconds, 10800).
% 2.35/2.56 clear(print_given).
% 2.35/2.56
% 2.35/2.56 formula_list(usable).
% 2.35/2.56 all A (A=A).
% 2.35/2.56 all A B (in(A,B)-> -in(B,A)).
% 2.35/2.56 all A (v1_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)))).
% 2.35/2.56 all A (v2_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)))).
% 2.35/2.56 all A (v3_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)&v1_rat_1(B)))).
% 2.35/2.56 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)))).
% 2.35/2.56 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)))).
% 2.35/2.56 all A (empty(A)->v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 2.35/2.56 all A (v1_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)))).
% 2.35/2.56 all A (v2_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)))).
% 2.35/2.56 all A (v3_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)))).
% 2.35/2.56 all A (v4_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)))).
% 2.35/2.56 all A (v5_membered(A)->v4_membered(A)).
% 2.35/2.56 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)))).
% 2.35/2.56 all A (v4_membered(A)->v3_membered(A)).
% 2.35/2.56 all A (v3_membered(A)->v2_membered(A)).
% 2.35/2.56 all A (v2_membered(A)->v1_membered(A)).
% 2.35/2.56 all A (top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (all C (element(C,powerset(the_carrier(A)))-> (C=topstr_closure(A,B)<-> (all D (in(D,the_carrier(A))-> (in(D,C)<-> (all E (element(E,powerset(the_carrier(A)))-> -(open_subset(E,A)&in(D,E)&disjoint(B,E))))))))))))).
% 2.35/2.56 all A (one_sorted_str(A)->cast_as_carrier_subset(A)=the_carrier(A)).
% 2.35/2.56 all A B C (C=set_difference(A,B)<-> (all D (in(D,C)<->in(D,A)& -in(D,B)))).
% 2.35/2.56 all A (top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (closed_subset(B,A)<->open_subset(subset_difference(the_carrier(A),cast_as_carrier_subset(A),B),A))))).
% 2.35/2.56 $T.
% 2.35/2.56 $T.
% 2.35/2.56 all A (one_sorted_str(A)->element(cast_as_carrier_subset(A),powerset(the_carrier(A)))).
% 2.35/2.56 all A B (element(B,powerset(A))->element(subset_complement(A,B),powerset(A))).
% 2.35/2.56 $T.
% 2.35/2.56 all A B (top_str(A)&element(B,powerset(the_carrier(A)))->element(topstr_closure(A,B),powerset(the_carrier(A)))).
% 2.35/2.56 all A B C (element(B,powerset(A))&element(C,powerset(A))->element(subset_difference(A,B,C),powerset(A))).
% 2.35/2.56 all A (top_str(A)->one_sorted_str(A)).
% 2.35/2.56 $T.
% 2.35/2.56 $T.
% 2.35/2.56 $T.
% 2.35/2.56 exists A top_str(A).
% 2.35/2.56 exists A one_sorted_str(A).
% 2.35/2.56 all A exists B element(B,A).
% 2.35/2.56 all A (-empty(powerset(A))).
% 2.35/2.56 all A B (v1_membered(A)->v1_membered(set_difference(A,B))).
% 2.35/2.56 all A B (v2_membered(A)->v1_membered(set_difference(A,B))&v2_membered(set_difference(A,B))).
% 2.35/2.56 all A B (v3_membered(A)->v1_membered(set_difference(A,B))&v2_membered(set_difference(A,B))&v3_membered(set_difference(A,B))).
% 2.35/2.56 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))).
% 2.35/2.56 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))).
% 2.35/2.56 empty(empty_set).
% 2.35/2.56 v1_membered(empty_set).
% 2.35/2.56 v2_membered(empty_set).
% 2.35/2.56 v3_membered(empty_set).
% 2.35/2.56 v4_membered(empty_set).
% 2.35/2.56 v5_membered(empty_set).
% 2.35/2.56 all A B (element(B,powerset(A))->subset_complement(A,subset_complement(A,B))=B).
% 2.35/2.56 exists A (-empty(A)&v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 2.35/2.56 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.35/2.56 all A exists B (element(B,powerset(A))&empty(B)).
% 2.35/2.56 all A B C (element(B,powerset(A))&element(C,powerset(A))->subset_difference(A,B,C)=set_difference(B,C)).
% 2.35/2.56 all A B subset(A,A).
% 2.35/2.56 all A B (disjoint(A,B)->disjoint(B,A)).
% 2.35/2.56 all A (one_sorted_str(A)-> (all B (element(B,powerset(the_carrier(A)))->subset_complement(the_carrier(A),B)=subset_difference(the_carrier(A),cast_as_carrier_subset(A),B)))).
% 2.35/2.56 all A B (in(A,B)->element(A,B)).
% 2.35/2.56 all A (one_sorted_str(A)-> (all B (element(B,powerset(the_carrier(A)))->subset_difference(the_carrier(A),cast_as_carrier_subset(A),subset_difference(the_carrier(A),cast_as_carrier_subset(A),B))=B))).
% 2.35/2.56 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.35/2.56 all A (set_difference(A,empty_set)=A).
% 2.35/2.56 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.35/2.56 all A B (element(B,powerset(A))-> (all C (element(C,powerset(A))-> (disjoint(B,C)<->subset(B,subset_complement(A,C)))))).
% 2.35/2.56 -(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))))))))))).
% 2.35/2.56 all A (set_difference(empty_set,A)=empty_set).
% 2.35/2.56 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.35/2.56 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.35/2.56 all A (empty(A)->A=empty_set).
% 2.35/2.56 all A B (-(in(A,B)&empty(B))).
% 2.35/2.56 all A B (-(empty(A)&A!=B&empty(B))).
% 2.35/2.56 end_of_list.
% 2.35/2.56
% 2.35/2.56 -------> usable clausifies to:
% 2.35/2.56
% 2.35/2.56 list(usable).
% 2.35/2.56 0 [] A=A.
% 2.35/2.56 0 [] -in(A,B)| -in(B,A).
% 2.35/2.56 0 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.35/2.56 0 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.35/2.56 0 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.35/2.56 0 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.35/2.56 0 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.35/2.56 0 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.35/2.56 0 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.35/2.56 0 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.35/2.56 0 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 2.35/2.56 0 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.35/2.56 0 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.35/2.56 0 [] -v5_membered(A)| -element(B,A)|natural(B).
% 2.35/2.56 0 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.35/2.56 0 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 2.35/2.56 0 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.35/2.56 0 [] -empty(A)|v1_membered(A).
% 2.35/2.56 0 [] -empty(A)|v2_membered(A).
% 2.35/2.56 0 [] -empty(A)|v3_membered(A).
% 2.35/2.56 0 [] -empty(A)|v4_membered(A).
% 2.35/2.56 0 [] -empty(A)|v5_membered(A).
% 2.35/2.56 0 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.35/2.56 0 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.35/2.56 0 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.35/2.56 0 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.35/2.56 0 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.35/2.56 0 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.35/2.56 0 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.35/2.56 0 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.35/2.56 0 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.35/2.56 0 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.35/2.56 0 [] -v5_membered(A)|v4_membered(A).
% 2.35/2.56 0 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.35/2.56 0 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.35/2.56 0 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.35/2.56 0 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.35/2.56 0 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 2.35/2.56 0 [] -v4_membered(A)|v3_membered(A).
% 2.35/2.56 0 [] -v3_membered(A)|v2_membered(A).
% 2.35/2.56 0 [] -v2_membered(A)|v1_membered(A).
% 2.35/2.56 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))| -in(D,C)| -element(E,powerset(the_carrier(A)))| -open_subset(E,A)| -in(D,E)| -disjoint(B,E).
% 2.35/2.56 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|element($f1(A,B,C,D),powerset(the_carrier(A))).
% 2.35/2.56 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|open_subset($f1(A,B,C,D),A).
% 2.35/2.56 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|in(D,$f1(A,B,C,D)).
% 2.35/2.56 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|disjoint(B,$f1(A,B,C,D)).
% 2.35/2.56 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)|in($f3(A,B,C),the_carrier(A)).
% 2.35/2.56 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)|in($f3(A,B,C),C)| -element(X1,powerset(the_carrier(A)))| -open_subset(X1,A)| -in($f3(A,B,C),X1)| -disjoint(B,X1).
% 2.35/2.56 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f3(A,B,C),C)|element($f2(A,B,C),powerset(the_carrier(A))).
% 2.35/2.56 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f3(A,B,C),C)|open_subset($f2(A,B,C),A).
% 2.35/2.56 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f3(A,B,C),C)|in($f3(A,B,C),$f2(A,B,C)).
% 2.35/2.56 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f3(A,B,C),C)|disjoint(B,$f2(A,B,C)).
% 2.35/2.56 0 [] -one_sorted_str(A)|cast_as_carrier_subset(A)=the_carrier(A).
% 2.35/2.56 0 [] C!=set_difference(A,B)| -in(D,C)|in(D,A).
% 2.35/2.56 0 [] C!=set_difference(A,B)| -in(D,C)| -in(D,B).
% 2.35/2.56 0 [] C!=set_difference(A,B)|in(D,C)| -in(D,A)|in(D,B).
% 2.35/2.56 0 [] C=set_difference(A,B)|in($f4(A,B,C),C)|in($f4(A,B,C),A).
% 2.35/2.56 0 [] C=set_difference(A,B)|in($f4(A,B,C),C)| -in($f4(A,B,C),B).
% 2.35/2.56 0 [] C=set_difference(A,B)| -in($f4(A,B,C),C)| -in($f4(A,B,C),A)|in($f4(A,B,C),B).
% 2.35/2.56 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -closed_subset(B,A)|open_subset(subset_difference(the_carrier(A),cast_as_carrier_subset(A),B),A).
% 2.35/2.56 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|closed_subset(B,A)| -open_subset(subset_difference(the_carrier(A),cast_as_carrier_subset(A),B),A).
% 2.35/2.56 0 [] $T.
% 2.35/2.56 0 [] $T.
% 2.35/2.56 0 [] -one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))).
% 2.35/2.56 0 [] -element(B,powerset(A))|element(subset_complement(A,B),powerset(A)).
% 2.35/2.56 0 [] $T.
% 2.35/2.56 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(topstr_closure(A,B),powerset(the_carrier(A))).
% 2.35/2.56 0 [] -element(B,powerset(A))| -element(C,powerset(A))|element(subset_difference(A,B,C),powerset(A)).
% 2.35/2.56 0 [] -top_str(A)|one_sorted_str(A).
% 2.35/2.56 0 [] $T.
% 2.35/2.56 0 [] $T.
% 2.35/2.56 0 [] $T.
% 2.35/2.56 0 [] top_str($c1).
% 2.35/2.56 0 [] one_sorted_str($c2).
% 2.35/2.56 0 [] element($f5(A),A).
% 2.35/2.56 0 [] -empty(powerset(A)).
% 2.35/2.56 0 [] -v1_membered(A)|v1_membered(set_difference(A,B)).
% 2.35/2.56 0 [] -v2_membered(A)|v1_membered(set_difference(A,B)).
% 2.35/2.56 0 [] -v2_membered(A)|v2_membered(set_difference(A,B)).
% 2.35/2.56 0 [] -v3_membered(A)|v1_membered(set_difference(A,B)).
% 2.35/2.56 0 [] -v3_membered(A)|v2_membered(set_difference(A,B)).
% 2.35/2.56 0 [] -v3_membered(A)|v3_membered(set_difference(A,B)).
% 2.35/2.56 0 [] -v4_membered(A)|v1_membered(set_difference(A,B)).
% 2.35/2.56 0 [] -v4_membered(A)|v2_membered(set_difference(A,B)).
% 2.35/2.56 0 [] -v4_membered(A)|v3_membered(set_difference(A,B)).
% 2.35/2.56 0 [] -v4_membered(A)|v4_membered(set_difference(A,B)).
% 2.35/2.56 0 [] -v5_membered(A)|v1_membered(set_difference(A,B)).
% 2.35/2.56 0 [] -v5_membered(A)|v2_membered(set_difference(A,B)).
% 2.35/2.56 0 [] -v5_membered(A)|v3_membered(set_difference(A,B)).
% 2.35/2.56 0 [] -v5_membered(A)|v4_membered(set_difference(A,B)).
% 2.35/2.56 0 [] -v5_membered(A)|v5_membered(set_difference(A,B)).
% 2.35/2.56 0 [] empty(empty_set).
% 2.35/2.56 0 [] v1_membered(empty_set).
% 2.35/2.56 0 [] v2_membered(empty_set).
% 2.35/2.56 0 [] v3_membered(empty_set).
% 2.35/2.56 0 [] v4_membered(empty_set).
% 2.35/2.56 0 [] v5_membered(empty_set).
% 2.35/2.56 0 [] -element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B.
% 2.35/2.56 0 [] -empty($c3).
% 2.35/2.56 0 [] v1_membered($c3).
% 2.35/2.56 0 [] v2_membered($c3).
% 2.35/2.56 0 [] v3_membered($c3).
% 2.35/2.56 0 [] v4_membered($c3).
% 2.35/2.56 0 [] v5_membered($c3).
% 2.35/2.56 0 [] empty(A)|element($f6(A),powerset(A)).
% 2.35/2.56 0 [] empty(A)| -empty($f6(A)).
% 2.35/2.56 0 [] element($f7(A),powerset(A)).
% 2.35/2.56 0 [] empty($f7(A)).
% 2.35/2.56 0 [] -element(B,powerset(A))| -element(C,powerset(A))|subset_difference(A,B,C)=set_difference(B,C).
% 2.35/2.56 0 [] subset(A,A).
% 2.35/2.56 0 [] -disjoint(A,B)|disjoint(B,A).
% 2.35/2.56 0 [] -one_sorted_str(A)| -element(B,powerset(the_carrier(A)))|subset_complement(the_carrier(A),B)=subset_difference(the_carrier(A),cast_as_carrier_subset(A),B).
% 2.35/2.56 0 [] -in(A,B)|element(A,B).
% 2.35/2.56 0 [] -one_sorted_str(A)| -element(B,powerset(the_carrier(A)))|subset_difference(the_carrier(A),cast_as_carrier_subset(A),subset_difference(the_carrier(A),cast_as_carrier_subset(A),B))=B.
% 2.35/2.56 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.35/2.56 0 [] set_difference(A,empty_set)=A.
% 2.35/2.56 0 [] -element(A,powerset(B))|subset(A,B).
% 2.35/2.56 0 [] element(A,powerset(B))| -subset(A,B).
% 2.35/2.56 0 [] -element(B,powerset(A))| -element(C,powerset(A))| -disjoint(B,C)|subset(B,subset_complement(A,C)).
% 2.35/2.56 0 [] -element(B,powerset(A))| -element(C,powerset(A))|disjoint(B,C)| -subset(B,subset_complement(A,C)).
% 2.35/2.56 0 [] top_str($c7).
% 2.35/2.56 0 [] element($c6,powerset(the_carrier($c7))).
% 2.35/2.56 0 [] in($c5,the_carrier($c7)).
% 2.35/2.56 0 [] in($c5,topstr_closure($c7,$c6))| -element(D,powerset(the_carrier($c7)))| -closed_subset(D,$c7)| -subset($c6,D)|in($c5,D).
% 2.35/2.56 0 [] -in($c5,topstr_closure($c7,$c6))|element($c4,powerset(the_carrier($c7))).
% 2.35/2.56 0 [] -in($c5,topstr_closure($c7,$c6))|closed_subset($c4,$c7).
% 2.35/2.56 0 [] -in($c5,topstr_closure($c7,$c6))|subset($c6,$c4).
% 2.35/2.56 0 [] -in($c5,topstr_closure($c7,$c6))| -in($c5,$c4).
% 2.35/2.56 0 [] set_difference(empty_set,A)=empty_set.
% 2.35/2.56 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.35/2.56 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.35/2.56 0 [] -empty(A)|A=empty_set.
% 2.35/2.56 0 [] -in(A,B)| -empty(B).
% 2.35/2.56 0 [] -empty(A)|A=B| -empty(B).
% 2.35/2.56 end_of_list.
% 2.35/2.56
% 2.35/2.56 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 2.35/2.56
% 2.35/2.56 This ia a non-Horn set with equality. The strategy will be
% 2.35/2.56 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.35/2.56 deletion, with positive clauses in sos and nonpositive
% 2.35/2.56 clauses in usable.
% 2.35/2.56
% 2.35/2.56 dependent: set(knuth_bendix).
% 2.35/2.56 dependent: set(anl_eq).
% 2.35/2.56 dependent: set(para_from).
% 2.35/2.56 dependent: set(para_into).
% 2.35/2.56 dependent: clear(para_from_right).
% 2.35/2.56 dependent: clear(para_into_right).
% 2.35/2.56 dependent: set(para_from_vars).
% 2.35/2.56 dependent: set(eq_units_both_ways).
% 2.35/2.56 dependent: set(dynamic_demod_all).
% 2.35/2.56 dependent: set(dynamic_demod).
% 2.35/2.56 dependent: set(order_eq).
% 2.35/2.56 dependent: set(back_demod).
% 2.35/2.56 dependent: set(lrpo).
% 2.35/2.56 dependent: set(hyper_res).
% 2.35/2.56 dependent: set(unit_deletion).
% 2.35/2.56 dependent: set(factor).
% 2.35/2.56
% 2.35/2.56 ------------> process usable:
% 2.35/2.56 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 2.35/2.56 ** KEPT (pick-wt=7): 2 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.35/2.56 ** KEPT (pick-wt=7): 3 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.35/2.56 ** KEPT (pick-wt=7): 4 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.35/2.56 ** KEPT (pick-wt=7): 5 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.35/2.56 ** KEPT (pick-wt=7): 6 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.35/2.56 ** KEPT (pick-wt=7): 7 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.35/2.56 ** KEPT (pick-wt=7): 8 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.35/2.56 ** KEPT (pick-wt=7): 9 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.35/2.56 ** KEPT (pick-wt=7): 10 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 2.35/2.56 ** KEPT (pick-wt=7): 11 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.35/2.56 ** KEPT (pick-wt=7): 12 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.35/2.56 ** KEPT (pick-wt=7): 13 [] -v5_membered(A)| -element(B,A)|natural(B).
% 2.35/2.56 ** KEPT (pick-wt=7): 14 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.35/2.56 ** KEPT (pick-wt=7): 15 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 2.35/2.56 ** KEPT (pick-wt=7): 16 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.35/2.56 ** KEPT (pick-wt=4): 17 [] -empty(A)|v1_membered(A).
% 2.35/2.56 ** KEPT (pick-wt=4): 18 [] -empty(A)|v2_membered(A).
% 2.35/2.56 ** KEPT (pick-wt=4): 19 [] -empty(A)|v3_membered(A).
% 2.35/2.56 ** KEPT (pick-wt=4): 20 [] -empty(A)|v4_membered(A).
% 2.35/2.56 ** KEPT (pick-wt=4): 21 [] -empty(A)|v5_membered(A).
% 2.35/2.56 ** KEPT (pick-wt=8): 22 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.35/2.56 ** KEPT (pick-wt=8): 23 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.35/2.56 ** KEPT (pick-wt=8): 24 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.35/2.56 ** KEPT (pick-wt=8): 25 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.35/2.56 ** KEPT (pick-wt=8): 26 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.35/2.56 ** KEPT (pick-wt=8): 27 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.35/2.57 ** KEPT (pick-wt=8): 28 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.35/2.57 ** KEPT (pick-wt=8): 29 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.35/2.57 ** KEPT (pick-wt=8): 30 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.35/2.57 ** KEPT (pick-wt=8): 31 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.35/2.57 ** KEPT (pick-wt=4): 32 [] -v5_membered(A)|v4_membered(A).
% 2.35/2.57 ** KEPT (pick-wt=8): 33 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.35/2.57 ** KEPT (pick-wt=8): 34 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.35/2.57 ** KEPT (pick-wt=8): 35 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.35/2.57 ** KEPT (pick-wt=8): 36 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.35/2.57 ** KEPT (pick-wt=8): 37 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 2.35/2.57 ** KEPT (pick-wt=4): 38 [] -v4_membered(A)|v3_membered(A).
% 2.35/2.57 ** KEPT (pick-wt=4): 39 [] -v3_membered(A)|v2_membered(A).
% 2.35/2.57 ** KEPT (pick-wt=4): 40 [] -v2_membered(A)|v1_membered(A).
% 2.35/2.57 ** KEPT (pick-wt=38): 41 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))| -in(D,C)| -element(E,powerset(the_carrier(A)))| -open_subset(E,A)| -in(D,E)| -disjoint(B,E).
% 2.35/2.57 ** KEPT (pick-wt=33): 42 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|element($f1(A,B,C,D),powerset(the_carrier(A))).
% 2.35/2.57 ** KEPT (pick-wt=31): 43 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|open_subset($f1(A,B,C,D),A).
% 2.35/2.57 ** KEPT (pick-wt=31): 44 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|in(D,$f1(A,B,C,D)).
% 2.35/2.57 ** KEPT (pick-wt=31): 45 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|disjoint(B,$f1(A,B,C,D)).
% 2.35/2.57 ** KEPT (pick-wt=24): 46 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)|in($f3(A,B,C),the_carrier(A)).
% 2.35/2.57 ** KEPT (pick-wt=40): 47 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)|in($f3(A,B,C),C)| -element(D,powerset(the_carrier(A)))| -open_subset(D,A)| -in($f3(A,B,C),D)| -disjoint(B,D).
% 2.35/2.57 ** KEPT (pick-wt=31): 48 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f3(A,B,C),C)|element($f2(A,B,C),powerset(the_carrier(A))).
% 2.35/2.57 ** KEPT (pick-wt=29): 49 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f3(A,B,C),C)|open_subset($f2(A,B,C),A).
% 2.35/2.57 ** KEPT (pick-wt=32): 50 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f3(A,B,C),C)|in($f3(A,B,C),$f2(A,B,C)).
% 2.35/2.57 ** KEPT (pick-wt=29): 51 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f3(A,B,C),C)|disjoint(B,$f2(A,B,C)).
% 2.35/2.57 ** KEPT (pick-wt=7): 53 [copy,52,flip.2] -one_sorted_str(A)|the_carrier(A)=cast_as_carrier_subset(A).
% 2.35/2.57 ** KEPT (pick-wt=11): 54 [] A!=set_difference(B,C)| -in(D,A)|in(D,B).
% 2.35/2.57 ** KEPT (pick-wt=11): 55 [] A!=set_difference(B,C)| -in(D,A)| -in(D,C).
% 2.35/2.57 ** KEPT (pick-wt=14): 56 [] A!=set_difference(B,C)|in(D,A)| -in(D,B)|in(D,C).
% 2.35/2.57 ** KEPT (pick-wt=17): 57 [] A=set_difference(B,C)|in($f4(B,C,A),A)| -in($f4(B,C,A),C).
% 2.35/2.57 ** KEPT (pick-wt=23): 58 [] A=set_difference(B,C)| -in($f4(B,C,A),A)| -in($f4(B,C,A),B)|in($f4(B,C,A),C).
% 2.35/2.57 ** KEPT (pick-wt=18): 59 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -closed_subset(B,A)|open_subset(subset_difference(the_carrier(A),cast_as_carrier_subset(A),B),A).
% 2.35/2.57 ** KEPT (pick-wt=18): 60 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|closed_subset(B,A)| -open_subset(subset_difference(the_carrier(A),cast_as_carrier_subset(A),B),A).
% 2.35/2.57 ** KEPT (pick-wt=8): 61 [] -one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))).
% 2.35/2.57 ** KEPT (pick-wt=10): 62 [] -element(A,powerset(B))|element(subset_complement(B,A),powerset(B)).
% 2.35/2.57 ** KEPT (pick-wt=14): 63 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(topstr_closure(A,B),powerset(the_carrier(A))).
% 2.35/2.57 ** KEPT (pick-wt=15): 64 [] -element(A,powerset(B))| -element(C,powerset(B))|element(subset_difference(B,A,C),powerset(B)).
% 2.35/2.57 ** KEPT (pick-wt=4): 65 [] -top_str(A)|one_sorted_str(A).
% 2.35/2.57 ** KEPT (pick-wt=3): 66 [] -empty(powerset(A)).
% 2.35/2.57 ** KEPT (pick-wt=6): 67 [] -v1_membered(A)|v1_membered(set_difference(A,B)).
% 2.35/2.57 ** KEPT (pick-wt=6): 68 [] -v2_membered(A)|v1_membered(set_difference(A,B)).
% 2.35/2.57 ** KEPT (pick-wt=6): 69 [] -v2_membered(A)|v2_membered(set_difference(A,B)).
% 2.35/2.57 ** KEPT (pick-wt=6): 70 [] -v3_membered(A)|v1_membered(set_difference(A,B)).
% 2.35/2.57 ** KEPT (pick-wt=6): 71 [] -v3_membered(A)|v2_membered(set_difference(A,B)).
% 2.35/2.57 ** KEPT (pick-wt=6): 72 [] -v3_membered(A)|v3_membered(set_difference(A,B)).
% 2.35/2.57 ** KEPT (pick-wt=6): 73 [] -v4_membered(A)|v1_membered(set_difference(A,B)).
% 2.35/2.57 ** KEPT (pick-wt=6): 74 [] -v4_membered(A)|v2_membered(set_difference(A,B)).
% 2.35/2.57 ** KEPT (pick-wt=6): 75 [] -v4_membered(A)|v3_membered(set_difference(A,B)).
% 2.35/2.57 ** KEPT (pick-wt=6): 76 [] -v4_membered(A)|v4_membered(set_difference(A,B)).
% 2.35/2.57 ** KEPT (pick-wt=6): 77 [] -v5_membered(A)|v1_membered(set_difference(A,B)).
% 2.35/2.57 ** KEPT (pick-wt=6): 78 [] -v5_membered(A)|v2_membered(set_difference(A,B)).
% 2.35/2.57 ** KEPT (pick-wt=6): 79 [] -v5_membered(A)|v3_membered(set_difference(A,B)).
% 2.35/2.57 ** KEPT (pick-wt=6): 80 [] -v5_membered(A)|v4_membered(set_difference(A,B)).
% 2.35/2.57 ** KEPT (pick-wt=6): 81 [] -v5_membered(A)|v5_membered(set_difference(A,B)).
% 2.35/2.57 ** KEPT (pick-wt=11): 82 [] -element(A,powerset(B))|subset_complement(B,subset_complement(B,A))=A.
% 2.35/2.57 ** KEPT (pick-wt=2): 83 [] -empty($c3).
% 2.35/2.57 ** KEPT (pick-wt=5): 84 [] empty(A)| -empty($f6(A)).
% 2.35/2.57 ** KEPT (pick-wt=16): 85 [] -element(A,powerset(B))| -element(C,powerset(B))|subset_difference(B,A,C)=set_difference(A,C).
% 2.35/2.57 ** KEPT (pick-wt=6): 86 [] -disjoint(A,B)|disjoint(B,A).
% 2.35/2.57 ** KEPT (pick-wt=18): 87 [] -one_sorted_str(A)| -element(B,powerset(the_carrier(A)))|subset_complement(the_carrier(A),B)=subset_difference(the_carrier(A),cast_as_carrier_subset(A),B).
% 2.35/2.57 ** KEPT (pick-wt=6): 88 [] -in(A,B)|element(A,B).
% 2.35/2.57 ** KEPT (pick-wt=20): 89 [] -one_sorted_str(A)| -element(B,powerset(the_carrier(A)))|subset_difference(the_carrier(A),cast_as_carrier_subset(A),subset_difference(the_carrier(A),cast_as_carrier_subset(A),B))=B.
% 2.35/2.57 ** KEPT (pick-wt=8): 90 [] -element(A,B)|empty(B)|in(A,B).
% 2.35/2.57 ** KEPT (pick-wt=7): 91 [] -element(A,powerset(B))|subset(A,B).
% 2.35/2.57 ** KEPT (pick-wt=7): 92 [] element(A,powerset(B))| -subset(A,B).
% 2.35/2.57 ** KEPT (pick-wt=16): 93 [] -element(A,powerset(B))| -element(C,powerset(B))| -disjoint(A,C)|subset(A,subset_complement(B,C)).
% 2.35/2.57 ** KEPT (pick-wt=16): 94 [] -element(A,powerset(B))| -element(C,powerset(B))|disjoint(A,C)| -subset(A,subset_complement(B,C)).
% 2.35/2.57 ** KEPT (pick-wt=19): 95 [] in($c5,topstr_closure($c7,$c6))| -element(A,powerset(the_carrier($c7)))| -closed_subset(A,$c7)| -subset($c6,A)|in($c5,A).
% 2.35/2.57 ** KEPT (pick-wt=10): 96 [] -in($c5,topstr_closure($c7,$c6))|element($c4,powerset(the_carrier($c7))).
% 2.35/2.57 ** KEPT (pick-wt=8): 97 [] -in($c5,topstr_closure($c7,$c6))|closed_subset($c4,$c7).
% 2.35/2.57 ** KEPT (pick-wt=8): 98 [] -in($c5,topstr_closure($c7,$c6))|subset($c6,$c4).
% 2.35/2.57 ** KEPT (pick-wt=8): 99 [] -in($c5,topstr_closure($c7,$c6))| -in($c5,$c4).
% 2.35/2.57 ** KEPT (pick-wt=10): 100 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.35/2.57 ** KEPT (pick-wt=9): 101 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.35/2.57 ** KEPT (pick-wt=5): 102 [] -empty(A)|A=empty_set.
% 2.35/2.57 ** KEPT (pick-wt=5): 103 [] -in(A,B)| -empty(B).
% 2.35/2.57 ** KEPT (pick-wt=7): 104 [] -empty(A)|A=B| -empty(B).
% 2.35/2.57
% 2.35/2.57 ------------> process sos:
% 2.35/2.57 ** KEPT (pick-wt=3): 138 [] A=A.
% 2.35/2.57 ** KEPT (pick-wt=17): 139 [] A=set_difference(B,C)|in($f4(B,C,A),A)|in($f4(B,C,A),B).
% 2.35/2.57 ** KEPT (pick-wt=2): 140 [] top_str($c1).
% 2.35/2.57 ** KEPT (pick-wt=2): 141 [] one_sorted_str($c2).
% 2.35/2.57 ** KEPT (pick-wt=4): 14Alarm clock
% 299.85/300.05 Otter interrupted
% 299.85/300.05 PROOF NOT FOUND
%------------------------------------------------------------------------------