TSTP Solution File: SEU329+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU329+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 13:15:41 EDT 2022
% Result : Unknown 6.12s 6.34s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU329+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 08:00:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.83/2.06 ----- Otter 3.3f, August 2004 -----
% 1.83/2.06 The process was started by sandbox2 on n003.cluster.edu,
% 1.83/2.06 Wed Jul 27 08:00:56 2022
% 1.83/2.06 The command was "./otter". The process ID is 13764.
% 1.83/2.06
% 1.83/2.06 set(prolog_style_variables).
% 1.83/2.06 set(auto).
% 1.83/2.06 dependent: set(auto1).
% 1.83/2.06 dependent: set(process_input).
% 1.83/2.06 dependent: clear(print_kept).
% 1.83/2.06 dependent: clear(print_new_demod).
% 1.83/2.06 dependent: clear(print_back_demod).
% 1.83/2.06 dependent: clear(print_back_sub).
% 1.83/2.06 dependent: set(control_memory).
% 1.83/2.06 dependent: assign(max_mem, 12000).
% 1.83/2.06 dependent: assign(pick_given_ratio, 4).
% 1.83/2.06 dependent: assign(stats_level, 1).
% 1.83/2.06 dependent: assign(max_seconds, 10800).
% 1.83/2.06 clear(print_given).
% 1.83/2.06
% 1.83/2.06 formula_list(usable).
% 1.83/2.06 all A (A=A).
% 1.83/2.06 -(all A B (one_sorted_str(A)&element(B,powerset(powerset(the_carrier(A))))-> (all C exists D all E (in(E,D)<->in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))& (exists F G (ordered_pair(F,G)=E&in(F,complements_of_subsets(the_carrier(A),B))& (all H (element(H,powerset(the_carrier(A)))-> (H=F->G=subset_complement(the_carrier(A),H)))))))))).
% 1.83/2.06 all A (v5_membered(A)->v4_membered(A)).
% 1.83/2.06 all A (v4_membered(A)->v3_membered(A)).
% 1.83/2.06 all A (v3_membered(A)->v2_membered(A)).
% 1.83/2.06 all A (v2_membered(A)->v1_membered(A)).
% 1.83/2.06 exists A (-empty(A)&v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 1.83/2.06 all A (v1_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)))).
% 1.83/2.06 all A (v2_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)))).
% 1.83/2.06 all A (v3_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)&v1_rat_1(B)))).
% 1.83/2.06 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)))).
% 1.83/2.06 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)))).
% 1.83/2.06 all A (v1_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)))).
% 1.83/2.06 all A (v2_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)))).
% 1.83/2.06 all A (v3_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)))).
% 1.83/2.06 all A (v4_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)))).
% 1.83/2.06 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)))).
% 1.83/2.06 all A (empty(A)->v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 1.83/2.06 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.83/2.06 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 1.83/2.06 all A exists B (element(B,powerset(A))&empty(B)).
% 1.83/2.06 all A B (element(B,powerset(A))->subset_complement(A,subset_complement(A,B))=B).
% 1.83/2.06 all A B (element(B,powerset(powerset(A)))->complements_of_subsets(A,complements_of_subsets(A,B))=B).
% 1.83/2.06 all A B (in(A,B)-> -in(B,A)).
% 1.83/2.06 $T.
% 1.83/2.06 $T.
% 1.83/2.06 all A B (element(B,powerset(A))->element(subset_complement(A,B),powerset(A))).
% 1.83/2.06 $T.
% 1.83/2.06 all A B (element(B,powerset(powerset(A)))->element(complements_of_subsets(A,B),powerset(powerset(A)))).
% 1.83/2.06 $T.
% 1.83/2.06 $T.
% 1.83/2.06 $T.
% 1.83/2.06 all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 1.83/2.06 all A (-empty(powerset(A))).
% 1.83/2.06 all A B (one_sorted_str(A)&element(B,powerset(powerset(the_carrier(A))))-> (all C ((all D E F (D=E& (exists G H (ordered_pair(G,H)=E&in(G,complements_of_subsets(the_carrier(A),B))& (all I (element(I,powerset(the_carrier(A)))-> (I=G->H=subset_complement(the_carrier(A),I))))))&D=F& (exists J K (ordered_pair(J,K)=F&in(J,complements_of_subsets(the_carrier(A),B))& (all L (element(L,powerset(the_carrier(A)))-> (L=J->K=subset_complement(the_carrier(A),L))))))->E=F))-> (exists D all E (in(E,D)<-> (exists F (in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))&F=E& (exists M N (ordered_pair(M,N)=E&in(M,complements_of_subsets(the_carrier(A),B))& (all O (element(O,powerset(the_carrier(A)))-> (O=M->N=subset_complement(the_carrier(A),O))))))))))))).
% 1.83/2.06 end_of_list.
% 1.83/2.06
% 1.83/2.06 -------> usable clausifies to:
% 1.83/2.06
% 1.83/2.06 list(usable).
% 1.83/2.06 0 [] A=A.
% 1.83/2.06 0 [] one_sorted_str($c3).
% 1.83/2.06 0 [] element($c2,powerset(powerset(the_carrier($c3)))).
% 1.83/2.06 0 [] in($f4(D),D)|in($f4(D),cartesian_product2(complements_of_subsets(the_carrier($c3),$c2),$c1)).
% 1.83/2.06 0 [] in($f4(D),D)|ordered_pair($f2(D),$f1(D))=$f4(D).
% 1.83/2.06 0 [] in($f4(D),D)|in($f2(D),complements_of_subsets(the_carrier($c3),$c2)).
% 1.83/2.06 0 [] in($f4(D),D)| -element(H,powerset(the_carrier($c3)))|H!=$f2(D)|$f1(D)=subset_complement(the_carrier($c3),H).
% 1.83/2.06 0 [] -in($f4(D),D)| -in($f4(D),cartesian_product2(complements_of_subsets(the_carrier($c3),$c2),$c1))|ordered_pair(F,G)!=$f4(D)| -in(F,complements_of_subsets(the_carrier($c3),$c2))|element($f3(D,F,G),powerset(the_carrier($c3))).
% 1.83/2.06 0 [] -in($f4(D),D)| -in($f4(D),cartesian_product2(complements_of_subsets(the_carrier($c3),$c2),$c1))|ordered_pair(F,G)!=$f4(D)| -in(F,complements_of_subsets(the_carrier($c3),$c2))|$f3(D,F,G)=F.
% 1.83/2.06 0 [] -in($f4(D),D)| -in($f4(D),cartesian_product2(complements_of_subsets(the_carrier($c3),$c2),$c1))|ordered_pair(F,G)!=$f4(D)| -in(F,complements_of_subsets(the_carrier($c3),$c2))|G!=subset_complement(the_carrier($c3),$f3(D,F,G)).
% 1.83/2.06 0 [] -v5_membered(A)|v4_membered(A).
% 1.83/2.06 0 [] -v4_membered(A)|v3_membered(A).
% 1.83/2.06 0 [] -v3_membered(A)|v2_membered(A).
% 1.83/2.06 0 [] -v2_membered(A)|v1_membered(A).
% 1.83/2.06 0 [] -empty($c4).
% 1.83/2.06 0 [] v1_membered($c4).
% 1.83/2.06 0 [] v2_membered($c4).
% 1.83/2.06 0 [] v3_membered($c4).
% 1.83/2.06 0 [] v4_membered($c4).
% 1.83/2.06 0 [] v5_membered($c4).
% 1.83/2.06 0 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.83/2.06 0 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.83/2.06 0 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.83/2.06 0 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.83/2.06 0 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.83/2.06 0 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.83/2.06 0 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.83/2.06 0 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.83/2.06 0 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 1.83/2.06 0 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.83/2.06 0 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.83/2.06 0 [] -v5_membered(A)| -element(B,A)|natural(B).
% 1.83/2.06 0 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.83/2.06 0 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 1.83/2.06 0 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.83/2.06 0 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.83/2.06 0 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.83/2.06 0 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.83/2.06 0 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.83/2.06 0 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.83/2.06 0 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.83/2.06 0 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.83/2.06 0 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.83/2.06 0 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.83/2.06 0 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 1.83/2.06 0 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.83/2.06 0 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.83/2.06 0 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.83/2.06 0 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 1.83/2.06 0 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 1.83/2.06 0 [] -empty(A)|v1_membered(A).
% 1.83/2.06 0 [] -empty(A)|v2_membered(A).
% 1.83/2.06 0 [] -empty(A)|v3_membered(A).
% 1.83/2.06 0 [] -empty(A)|v4_membered(A).
% 1.83/2.06 0 [] -empty(A)|v5_membered(A).
% 1.83/2.06 0 [] empty(A)|element($f5(A),powerset(A)).
% 1.83/2.06 0 [] empty(A)| -empty($f5(A)).
% 1.83/2.06 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 1.83/2.06 0 [] element($f6(A),powerset(A)).
% 1.83/2.06 0 [] empty($f6(A)).
% 1.83/2.06 0 [] -element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B.
% 1.83/2.06 0 [] -element(B,powerset(powerset(A)))|complements_of_subsets(A,complements_of_subsets(A,B))=B.
% 1.83/2.06 0 [] -in(A,B)| -in(B,A).
% 1.83/2.06 0 [] $T.
% 1.83/2.06 0 [] $T.
% 1.83/2.06 0 [] -element(B,powerset(A))|element(subset_complement(A,B),powerset(A)).
% 1.83/2.06 0 [] $T.
% 1.83/2.06 0 [] -element(B,powerset(powerset(A)))|element(complements_of_subsets(A,B),powerset(powerset(A))).
% 1.83/2.06 0 [] $T.
% 1.83/2.06 0 [] $T.
% 1.83/2.06 0 [] $T.
% 1.83/2.06 0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 1.83/2.06 0 [] -empty(powerset(A)).
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f12(A,B,C)| -in(E,$f18(A,B,C))|in($f16(A,B,C,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)).
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f12(A,B,C)| -in(E,$f18(A,B,C))|$f16(A,B,C,E)=E.
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f12(A,B,C)| -in(E,$f18(A,B,C))|ordered_pair($f15(A,B,C,E),$f14(A,B,C,E))=E.
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f12(A,B,C)| -in(E,$f18(A,B,C))|in($f15(A,B,C,E),complements_of_subsets(the_carrier(A),B)).
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f12(A,B,C)| -in(E,$f18(A,B,C))| -element(O,powerset(the_carrier(A)))|O!=$f15(A,B,C,E)|$f14(A,B,C,E)=subset_complement(the_carrier(A),O).
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f12(A,B,C)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,C,E,F,M,N),powerset(the_carrier(A))).
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f12(A,B,C)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|$f17(A,B,C,E,F,M,N)=M.
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f12(A,B,C)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|N!=subset_complement(the_carrier(A),$f17(A,B,C,E,F,M,N)).
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f8(A,B,C),$f7(A,B,C))=$f12(A,B,C)| -in(E,$f18(A,B,C))|in($f16(A,B,C,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)).
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f8(A,B,C),$f7(A,B,C))=$f12(A,B,C)| -in(E,$f18(A,B,C))|$f16(A,B,C,E)=E.
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f8(A,B,C),$f7(A,B,C))=$f12(A,B,C)| -in(E,$f18(A,B,C))|ordered_pair($f15(A,B,C,E),$f14(A,B,C,E))=E.
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f8(A,B,C),$f7(A,B,C))=$f12(A,B,C)| -in(E,$f18(A,B,C))|in($f15(A,B,C,E),complements_of_subsets(the_carrier(A),B)).
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f8(A,B,C),$f7(A,B,C))=$f12(A,B,C)| -in(E,$f18(A,B,C))| -element(O,powerset(the_carrier(A)))|O!=$f15(A,B,C,E)|$f14(A,B,C,E)=subset_complement(the_carrier(A),O).
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f8(A,B,C),$f7(A,B,C))=$f12(A,B,C)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,C,E,F,M,N),powerset(the_carrier(A))).
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f8(A,B,C),$f7(A,B,C))=$f12(A,B,C)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|$f17(A,B,C,E,F,M,N)=M.
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f8(A,B,C),$f7(A,B,C))=$f12(A,B,C)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|N!=subset_complement(the_carrier(A),$f17(A,B,C,E,F,M,N)).
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f8(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(E,$f18(A,B,C))|in($f16(A,B,C,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)).
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f8(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(E,$f18(A,B,C))|$f16(A,B,C,E)=E.
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f8(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(E,$f18(A,B,C))|ordered_pair($f15(A,B,C,E),$f14(A,B,C,E))=E.
% 1.83/2.06 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f8(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(E,$f18(A,B,C))|in($f15(A,B,C,E),complements_of_subsets(the_carrier(A),B)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f8(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(E,$f18(A,B,C))| -element(O,powerset(the_carrier(A)))|O!=$f15(A,B,C,E)|$f14(A,B,C,E)=subset_complement(the_carrier(A),O).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f8(A,B,C),complements_of_subsets(the_carrier(A),B))|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,C,E,F,M,N),powerset(the_carrier(A))).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f8(A,B,C),complements_of_subsets(the_carrier(A),B))|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|$f17(A,B,C,E,F,M,N)=M.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f8(A,B,C),complements_of_subsets(the_carrier(A),B))|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|N!=subset_complement(the_carrier(A),$f17(A,B,C,E,F,M,N)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(I,powerset(the_carrier(A)))|I!=$f8(A,B,C)|$f7(A,B,C)=subset_complement(the_carrier(A),I)| -in(E,$f18(A,B,C))|in($f16(A,B,C,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(I,powerset(the_carrier(A)))|I!=$f8(A,B,C)|$f7(A,B,C)=subset_complement(the_carrier(A),I)| -in(E,$f18(A,B,C))|$f16(A,B,C,E)=E.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(I,powerset(the_carrier(A)))|I!=$f8(A,B,C)|$f7(A,B,C)=subset_complement(the_carrier(A),I)| -in(E,$f18(A,B,C))|ordered_pair($f15(A,B,C,E),$f14(A,B,C,E))=E.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(I,powerset(the_carrier(A)))|I!=$f8(A,B,C)|$f7(A,B,C)=subset_complement(the_carrier(A),I)| -in(E,$f18(A,B,C))|in($f15(A,B,C,E),complements_of_subsets(the_carrier(A),B)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(I,powerset(the_carrier(A)))|I!=$f8(A,B,C)|$f7(A,B,C)=subset_complement(the_carrier(A),I)| -in(E,$f18(A,B,C))| -element(O,powerset(the_carrier(A)))|O!=$f15(A,B,C,E)|$f14(A,B,C,E)=subset_complement(the_carrier(A),O).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(I,powerset(the_carrier(A)))|I!=$f8(A,B,C)|$f7(A,B,C)=subset_complement(the_carrier(A),I)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,C,E,F,M,N),powerset(the_carrier(A))).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(I,powerset(the_carrier(A)))|I!=$f8(A,B,C)|$f7(A,B,C)=subset_complement(the_carrier(A),I)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|$f17(A,B,C,E,F,M,N)=M.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(I,powerset(the_carrier(A)))|I!=$f8(A,B,C)|$f7(A,B,C)=subset_complement(the_carrier(A),I)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|N!=subset_complement(the_carrier(A),$f17(A,B,C,E,F,M,N)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f11(A,B,C)| -in(E,$f18(A,B,C))|in($f16(A,B,C,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f11(A,B,C)| -in(E,$f18(A,B,C))|$f16(A,B,C,E)=E.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f11(A,B,C)| -in(E,$f18(A,B,C))|ordered_pair($f15(A,B,C,E),$f14(A,B,C,E))=E.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f11(A,B,C)| -in(E,$f18(A,B,C))|in($f15(A,B,C,E),complements_of_subsets(the_carrier(A),B)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f11(A,B,C)| -in(E,$f18(A,B,C))| -element(O,powerset(the_carrier(A)))|O!=$f15(A,B,C,E)|$f14(A,B,C,E)=subset_complement(the_carrier(A),O).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f11(A,B,C)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,C,E,F,M,N),powerset(the_carrier(A))).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f11(A,B,C)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|$f17(A,B,C,E,F,M,N)=M.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f11(A,B,C)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|N!=subset_complement(the_carrier(A),$f17(A,B,C,E,F,M,N)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f10(A,B,C),$f9(A,B,C))=$f11(A,B,C)| -in(E,$f18(A,B,C))|in($f16(A,B,C,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f10(A,B,C),$f9(A,B,C))=$f11(A,B,C)| -in(E,$f18(A,B,C))|$f16(A,B,C,E)=E.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f10(A,B,C),$f9(A,B,C))=$f11(A,B,C)| -in(E,$f18(A,B,C))|ordered_pair($f15(A,B,C,E),$f14(A,B,C,E))=E.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f10(A,B,C),$f9(A,B,C))=$f11(A,B,C)| -in(E,$f18(A,B,C))|in($f15(A,B,C,E),complements_of_subsets(the_carrier(A),B)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f10(A,B,C),$f9(A,B,C))=$f11(A,B,C)| -in(E,$f18(A,B,C))| -element(O,powerset(the_carrier(A)))|O!=$f15(A,B,C,E)|$f14(A,B,C,E)=subset_complement(the_carrier(A),O).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f10(A,B,C),$f9(A,B,C))=$f11(A,B,C)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,C,E,F,M,N),powerset(the_carrier(A))).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f10(A,B,C),$f9(A,B,C))=$f11(A,B,C)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|$f17(A,B,C,E,F,M,N)=M.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f10(A,B,C),$f9(A,B,C))=$f11(A,B,C)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|N!=subset_complement(the_carrier(A),$f17(A,B,C,E,F,M,N)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(E,$f18(A,B,C))|in($f16(A,B,C,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(E,$f18(A,B,C))|$f16(A,B,C,E)=E.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(E,$f18(A,B,C))|ordered_pair($f15(A,B,C,E),$f14(A,B,C,E))=E.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(E,$f18(A,B,C))|in($f15(A,B,C,E),complements_of_subsets(the_carrier(A),B)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(E,$f18(A,B,C))| -element(O,powerset(the_carrier(A)))|O!=$f15(A,B,C,E)|$f14(A,B,C,E)=subset_complement(the_carrier(A),O).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B,C),complements_of_subsets(the_carrier(A),B))|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,C,E,F,M,N),powerset(the_carrier(A))).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B,C),complements_of_subsets(the_carrier(A),B))|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|$f17(A,B,C,E,F,M,N)=M.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B,C),complements_of_subsets(the_carrier(A),B))|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|N!=subset_complement(the_carrier(A),$f17(A,B,C,E,F,M,N)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(L,powerset(the_carrier(A)))|L!=$f10(A,B,C)|$f9(A,B,C)=subset_complement(the_carrier(A),L)| -in(E,$f18(A,B,C))|in($f16(A,B,C,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(L,powerset(the_carrier(A)))|L!=$f10(A,B,C)|$f9(A,B,C)=subset_complement(the_carrier(A),L)| -in(E,$f18(A,B,C))|$f16(A,B,C,E)=E.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(L,powerset(the_carrier(A)))|L!=$f10(A,B,C)|$f9(A,B,C)=subset_complement(the_carrier(A),L)| -in(E,$f18(A,B,C))|ordered_pair($f15(A,B,C,E),$f14(A,B,C,E))=E.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(L,powerset(the_carrier(A)))|L!=$f10(A,B,C)|$f9(A,B,C)=subset_complement(the_carrier(A),L)| -in(E,$f18(A,B,C))|in($f15(A,B,C,E),complements_of_subsets(the_carrier(A),B)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(L,powerset(the_carrier(A)))|L!=$f10(A,B,C)|$f9(A,B,C)=subset_complement(the_carrier(A),L)| -in(E,$f18(A,B,C))| -element(O,powerset(the_carrier(A)))|O!=$f15(A,B,C,E)|$f14(A,B,C,E)=subset_complement(the_carrier(A),O).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(L,powerset(the_carrier(A)))|L!=$f10(A,B,C)|$f9(A,B,C)=subset_complement(the_carrier(A),L)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,C,E,F,M,N),powerset(the_carrier(A))).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(L,powerset(the_carrier(A)))|L!=$f10(A,B,C)|$f9(A,B,C)=subset_complement(the_carrier(A),L)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|$f17(A,B,C,E,F,M,N)=M.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(L,powerset(the_carrier(A)))|L!=$f10(A,B,C)|$f9(A,B,C)=subset_complement(the_carrier(A),L)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|N!=subset_complement(the_carrier(A),$f17(A,B,C,E,F,M,N)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f12(A,B,C)!=$f11(A,B,C)| -in(E,$f18(A,B,C))|in($f16(A,B,C,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f12(A,B,C)!=$f11(A,B,C)| -in(E,$f18(A,B,C))|$f16(A,B,C,E)=E.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f12(A,B,C)!=$f11(A,B,C)| -in(E,$f18(A,B,C))|ordered_pair($f15(A,B,C,E),$f14(A,B,C,E))=E.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f12(A,B,C)!=$f11(A,B,C)| -in(E,$f18(A,B,C))|in($f15(A,B,C,E),complements_of_subsets(the_carrier(A),B)).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f12(A,B,C)!=$f11(A,B,C)| -in(E,$f18(A,B,C))| -element(O,powerset(the_carrier(A)))|O!=$f15(A,B,C,E)|$f14(A,B,C,E)=subset_complement(the_carrier(A),O).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f12(A,B,C)!=$f11(A,B,C)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,C,E,F,M,N),powerset(the_carrier(A))).
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f12(A,B,C)!=$f11(A,B,C)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|$f17(A,B,C,E,F,M,N)=M.
% 1.89/2.07 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f12(A,B,C)!=$f11(A,B,C)|in(E,$f18(A,B,C))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|F!=E|ordered_pair(M,N)!=E| -in(M,complements_of_subsets(the_carrier(A),B))|N!=subset_complement(the_carrier(A),$f17(A,B,C,E,F,M,N)).
% 1.89/2.07 end_of_list.
% 1.89/2.07
% 1.89/2.07 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 1.89/2.07
% 1.89/2.07 This ia a non-Horn set with equality. The strategy will be
% 1.89/2.07 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.89/2.07 deletion, with positive clauses in sos and nonpositive
% 1.89/2.07 clauses in usable.
% 1.89/2.07
% 1.89/2.07 dependent: set(knuth_bendix).
% 1.89/2.07 dependent: set(anl_eq).
% 1.89/2.07 dependent: set(para_from).
% 1.89/2.07 dependent: set(para_into).
% 1.89/2.07 dependent: clear(para_from_right).
% 1.89/2.07 dependent: clear(para_into_right).
% 1.89/2.07 dependent: set(para_from_vars).
% 1.89/2.07 dependent: set(eq_units_both_ways).
% 1.89/2.07 dependent: set(dynamic_demod_all).
% 1.89/2.07 dependent: set(dynamic_demod).
% 1.89/2.07 dependent: set(order_eq).
% 1.89/2.07 dependent: set(back_demod).
% 1.89/2.07 dependent: set(lrpo).
% 1.89/2.07 dependent: set(hyper_res).
% 1.89/2.07 dependent: set(unit_deletion).
% 1.89/2.07 dependent: set(factor).
% 1.89/2.07
% 1.89/2.07 ------------> process usable:
% 1.89/2.07 ** KEPT (pick-wt=20): 1 [] in($f4(A),A)| -element(B,powerset(the_carrier($c3)))|B!=$f2(A)|$f1(A)=subset_complement(the_carrier($c3),B).
% 1.89/2.07 ** KEPT (pick-wt=33): 2 [] -in($f4(A),A)| -in($f4(A),cartesian_product2(complements_of_subsets(the_carrier($c3),$c2),$c1))|ordered_pair(B,C)!=$f4(A)| -in(B,complements_of_subsets(the_carrier($c3),$c2))|element($f3(A,B,C),powerset(the_carrier($c3))).
% 1.89/2.07 ** KEPT (pick-wt=31): 3 [] -in($f4(A),A)| -in($f4(A),cartesian_product2(complements_of_subsets(the_carrier($c3),$c2),$c1))|ordered_pair(B,C)!=$f4(A)| -in(B,complements_of_subsets(the_carrier($c3),$c2))|$f3(A,B,C)=B.
% 1.89/2.07 ** KEPT (pick-wt=34): 5 [copy,4,flip.5] -in($f4(A),A)| -in($f4(A),cartesian_product2(complements_of_subsets(the_carrier($c3),$c2),$c1))|ordered_pair(B,C)!=$f4(A)| -in(B,complements_of_subsets(the_carrier($c3),$c2))|subset_complement(the_carrier($c3),$f3(A,B,C))!=C.
% 1.89/2.07 ** KEPT (pick-wt=4): 6 [] -v5_membered(A)|v4_membered(A).
% 1.89/2.07 ** KEPT (pick-wt=4): 7 [] -v4_membered(A)|v3_membered(A).
% 1.89/2.07 ** KEPT (pick-wt=4): 8 [] -v3_membered(A)|v2_membered(A).
% 1.89/2.07 ** KEPT (pick-wt=4): 9 [] -v2_membered(A)|v1_membered(A).
% 1.89/2.07 ** KEPT (pick-wt=2): 10 [] -empty($c4).
% 1.89/2.07 ** KEPT (pick-wt=7): 11 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.89/2.07 ** KEPT (pick-wt=7): 12 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.89/2.07 ** KEPT (pick-wt=7): 13 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.89/2.07 ** KEPT (pick-wt=7): 14 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.89/2.07 ** KEPT (pick-wt=7): 15 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.89/2.07 ** KEPT (pick-wt=7): 16 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.89/2.07 ** KEPT (pick-wt=7): 17 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.89/2.07 ** KEPT (pick-wt=7): 18 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.89/2.07 ** KEPT (pick-wt=7): 19 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 1.89/2.07 ** KEPT (pick-wt=7): 20 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.89/2.07 ** KEPT (pick-wt=7): 21 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.89/2.07 ** KEPT (pick-wt=7): 22 [] -v5_membered(A)| -element(B,A)|natural(B).
% 1.89/2.07 ** KEPT (pick-wt=7): 23 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.89/2.07 ** KEPT (pick-wt=7): 24 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 1.89/2.07 ** KEPT (pick-wt=7): 25 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.89/2.07 ** KEPT (pick-wt=8): 26 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.89/2.07 ** KEPT (pick-wt=8): 27 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.89/2.07 ** KEPT (pick-wt=8): 28 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.89/2.07 ** KEPT (pick-wt=8): 29 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.89/2.07 ** KEPT (pick-wt=8): 30 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.89/2.07 ** KEPT (pick-wt=8): 31 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.89/2.07 ** KEPT (pick-wt=8): 32 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.89/2.07 ** KEPT (pick-wt=8): 33 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.89/2.07 ** KEPT (pick-wt=8): 34 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.89/2.07 ** KEPT (pick-wt=8): 35 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 1.89/2.07 ** KEPT (pick-wt=8): 36 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.89/2.07 ** KEPT (pick-wt=8): 37 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.89/2.07 ** KEPT (pick-wt=8): 38 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.89/2.07 ** KEPT (pick-wt=8): 39 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 1.89/2.07 ** KEPT (pick-wt=8): 40 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 1.89/2.07 ** KEPT (pick-wt=4): 41 [] -empty(A)|v1_membered(A).
% 1.89/2.07 ** KEPT (pick-wt=4): 42 [] -empty(A)|v2_membered(A).
% 1.89/2.07 ** KEPT (pick-wt=4): 43 [] -empty(A)|v3_membered(A).
% 1.89/2.07 ** KEPT (pick-wt=4): 44 [] -empty(A)|v4_membered(A).
% 1.89/2.07 ** KEPT (pick-wt=4): 45 [] -empty(A)|v5_membered(A).
% 1.89/2.07 ** KEPT (pick-wt=5): 46 [] empty(A)| -empty($f5(A)).
% 1.89/2.07 ** KEPT (pick-wt=8): 47 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 1.89/2.07 ** KEPT (pick-wt=11): 48 [] -element(A,powerset(B))|subset_complement(B,subset_complement(B,A))=A.
% 1.89/2.07 ** KEPT (pick-wt=12): 49 [] -element(A,powerset(powerset(B)))|complements_of_subsets(B,complements_of_subsets(B,A))=A.
% 1.89/2.07 ** KEPT (pick-wt=6): 50 [] -in(A,B)| -in(B,A).
% 1.89/2.07 ** KEPT (pick-wt=10): 51 [] -element(A,powerset(B))|element(subset_complement(B,A),powerset(B)).
% 1.89/2.07 ** KEPT (pick-wt=12): 52 [] -element(A,powerset(powerset(B)))|element(complements_of_subsets(B,A),powerset(powerset(B))).
% 1.89/2.07 ** KEPT (pick-wt=8): 53 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 1.89/2.07 ** KEPT (pick-wt=3): 54 [] -empty(powerset(A)).
% 1.89/2.07 ** KEPT (pick-wt=35): 55 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f12(A,B,C)| -in(D,$f18(A,B,C))|in($f16(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)).
% 1.89/2.07 ** KEPT (pick-wt=30): 56 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f12(A,B,C)| -in(D,$f18(A,B,C))|$f16(A,B,C,D)=D.
% 1.89/2.07 ** KEPT (pick-wt=36): 57 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f12(A,B,C)| -in(D,$f18(A,B,C))|ordered_pair($f15(A,B,C,D),$f14(A,B,C,D))=D.
% 1.89/2.07 ** KEPT (pick-wt=33): 58 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f12(A,B,C)| -in(D,$f18(A,B,C))|in($f15(A,B,C,D),complements_of_subsets(the_carrier(A),B)).
% 1.89/2.07 ** KEPT (pick-wt=45): 59 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f12(A,B,C)| -in(D,$f18(A,B,C))| -element(E,powerset(the_carrier(A)))|E!=$f15(A,B,C,D)|$f14(A,B,C,D)=subset_complement(the_carrier(A),E).
% 1.89/2.07 ** KEPT (pick-wt=57): 60 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f12(A,B,C)|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,C,D,E,F,G),powerset(the_carrier(A))).
% 1.89/2.07 ** KEPT (pick-wt=55): 61 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f12(A,B,C)|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|$f17(A,B,C,D,E,F,G)=F.
% 1.89/2.07 ** KEPT (pick-wt=58): 63 [copy,62,flip.9] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f12(A,B,C)|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|subset_complement(the_carrier(A),$f17(A,B,C,D,E,F,G))!=G.
% 1.89/2.07 ** KEPT (pick-wt=40): 64 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f8(A,B,C),$f7(A,B,C))=$f12(A,B,C)| -in(D,$f18(A,B,C))|in($f16(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)).
% 1.89/2.07 ** KEPT (pick-wt=35): 65 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f8(A,B,C),$f7(A,B,C))=$f12(A,B,C)| -in(D,$f18(A,B,C))|$f16(A,B,C,D)=D.
% 1.89/2.07 ** KEPT (pick-wt=41): 66 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f8(A,B,C),$f7(A,B,C))=$f12(A,B,C)| -in(D,$f18(A,B,C))|ordered_pair($f15(A,B,C,D),$f14(A,B,C,D))=D.
% 1.89/2.07 ** KEPT (pick-wt=38): 67 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f8(A,B,C),$f7(A,B,C))=$f12(A,B,C)| -in(D,$f18(A,B,C))|in($f15(A,B,C,D),complements_of_subsets(the_carrier(A),B)).
% 1.89/2.07 ** KEPT (pick-wt=50): 68 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f8(A,B,C),$f7(A,B,C))=$f12(A,B,C)| -in(D,$f18(A,B,C))| -element(E,powerset(the_carrier(A)))|E!=$f15(A,B,C,D)|$f14(A,B,C,D)=subset_complement(the_carrier(A),E).
% 1.89/2.07 ** KEPT (pick-wt=62): 69 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f8(A,B,C),$f7(A,B,C))=$f12(A,B,C)|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,C,D,E,F,G),powerset(the_carrier(A))).
% 1.89/2.07 ** KEPT (pick-wt=60): 70 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f8(A,B,C),$f7(A,B,C))=$f12(A,B,C)|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|$f17(A,B,C,D,E,F,G)=F.
% 1.89/2.07 ** KEPT (pick-wt=63): 72 [copy,71,flip.9] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f8(A,B,C),$f7(A,B,C))=$f12(A,B,C)|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|subset_complement(the_carrier(A),$f17(A,B,C,D,E,F,G))!=G.
% 1.89/2.07 ** KEPT (pick-wt=35): 73 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f8(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(D,$f18(A,B,C))|in($f16(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)).
% 1.89/2.07 ** KEPT (pick-wt=30): 74 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f8(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(D,$f18(A,B,C))|$f16(A,B,C,D)=D.
% 1.89/2.07 ** KEPT (pick-wt=36): 75 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f8(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(D,$f18(A,B,C))|ordered_pair($f15(A,B,C,D),$f14(A,B,C,D))=D.
% 1.89/2.07 ** KEPT (pick-wt=33): 76 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f8(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(D,$f18(A,B,C))|in($f15(A,B,C,D),complements_of_subsets(the_carrier(A),B)).
% 1.89/2.07 ** KEPT (pick-wt=45): 77 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f8(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(D,$f18(A,B,C))| -element(E,powerset(the_carrier(A)))|E!=$f15(A,B,C,D)|$f14(A,B,C,D)=subset_complement(the_carrier(A),E).
% 1.89/2.07 ** KEPT (pick-wt=57): 78 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f8(A,B,C),complements_of_subsets(the_carrier(A),B))|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,C,D,E,F,G),powerset(the_carrier(A))).
% 1.89/2.07 ** KEPT (pick-wt=55): 79 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f8(A,B,C),complements_of_subsets(the_carrier(A),B))|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|$f17(A,B,C,D,E,F,G)=F.
% 1.89/2.07 ** KEPT (pick-wt=58): 81 [copy,80,flip.9] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f8(A,B,C),complements_of_subsets(the_carrier(A),B))|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|subset_complement(the_carrier(A),$f17(A,B,C,D,E,F,G))!=G.
% 1.89/2.07 ** KEPT (pick-wt=46): 82 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f8(A,B,D)|$f7(A,B,D)=subset_complement(the_carrier(A),C)| -in(E,$f18(A,B,D))|in($f16(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)).
% 1.89/2.07 ** KEPT (pick-wt=41): 83 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f8(A,B,D)|$f7(A,B,D)=subset_complement(the_carrier(A),C)| -in(E,$f18(A,B,D))|$f16(A,B,D,E)=E.
% 1.89/2.07 ** KEPT (pick-wt=47): 84 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f8(A,B,D)|$f7(A,B,D)=subset_complement(the_carrier(A),C)| -in(E,$f18(A,B,D))|ordered_pair($f15(A,B,D,E),$f14(A,B,D,E))=E.
% 1.89/2.07 ** KEPT (pick-wt=44): 85 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f8(A,B,D)|$f7(A,B,D)=subset_complement(the_carrier(A),C)| -in(E,$f18(A,B,D))|in($f15(A,B,D,E),complements_of_subsets(the_carrier(A),B)).
% 1.89/2.07 ** KEPT (pick-wt=56): 86 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f8(A,B,D)|$f7(A,B,D)=subset_complement(the_carrier(A),C)| -in(E,$f18(A,B,D))| -element(F,powerset(the_carrier(A)))|F!=$f15(A,B,D,E)|$f14(A,B,D,E)=subset_complement(the_carrier(A),F).
% 1.89/2.07 ** KEPT (pick-wt=68): 87 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f8(A,B,D)|$f7(A,B,D)=subset_complement(the_carrier(A),C)|in(E,$f18(A,B,D))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D))|F!=E|ordered_pair(G,H)!=E| -in(G,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,D,E,F,G,H),powerset(the_carrier(A))).
% 1.89/2.07 ** KEPT (pick-wt=66): 88 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f8(A,B,D)|$f7(A,B,D)=subset_complement(the_carrier(A),C)|in(E,$f18(A,B,D))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D))|F!=E|ordered_pair(G,H)!=E| -in(G,complements_of_subsets(the_carrier(A),B))|$f17(A,B,D,E,F,G,H)=G.
% 1.89/2.07 ** KEPT (pick-wt=69): 90 [copy,89,flip.11] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f8(A,B,D)|$f7(A,B,D)=subset_complement(the_carrier(A),C)|in(E,$f18(A,B,D))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D))|F!=E|ordered_pair(G,H)!=E| -in(G,complements_of_subsets(the_carrier(A),B))|subset_complement(the_carrier(A),$f17(A,B,D,E,F,G,H))!=H.
% 1.89/2.07 ** KEPT (pick-wt=35): 91 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f11(A,B,C)| -in(D,$f18(A,B,C))|in($f16(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)).
% 1.89/2.07 ** KEPT (pick-wt=30): 92 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f11(A,B,C)| -in(D,$f18(A,B,C))|$f16(A,B,C,D)=D.
% 1.89/2.07 ** KEPT (pick-wt=36): 93 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f11(A,B,C)| -in(D,$f18(A,B,C))|ordered_pair($f15(A,B,C,D),$f14(A,B,C,D))=D.
% 1.89/2.08 ** KEPT (pick-wt=33): 94 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f11(A,B,C)| -in(D,$f18(A,B,C))|in($f15(A,B,C,D),complements_of_subsets(the_carrier(A),B)).
% 1.89/2.08 ** KEPT (pick-wt=45): 95 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f11(A,B,C)| -in(D,$f18(A,B,C))| -element(E,powerset(the_carrier(A)))|E!=$f15(A,B,C,D)|$f14(A,B,C,D)=subset_complement(the_carrier(A),E).
% 1.89/2.08 ** KEPT (pick-wt=57): 96 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f11(A,B,C)|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,C,D,E,F,G),powerset(the_carrier(A))).
% 1.89/2.08 ** KEPT (pick-wt=55): 97 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f11(A,B,C)|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|$f17(A,B,C,D,E,F,G)=F.
% 1.89/2.08 ** KEPT (pick-wt=58): 99 [copy,98,flip.9] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f13(A,B,C)=$f11(A,B,C)|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|subset_complement(the_carrier(A),$f17(A,B,C,D,E,F,G))!=G.
% 1.89/2.08 ** KEPT (pick-wt=40): 100 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f10(A,B,C),$f9(A,B,C))=$f11(A,B,C)| -in(D,$f18(A,B,C))|in($f16(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)).
% 1.89/2.08 ** KEPT (pick-wt=35): 101 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f10(A,B,C),$f9(A,B,C))=$f11(A,B,C)| -in(D,$f18(A,B,C))|$f16(A,B,C,D)=D.
% 1.89/2.08 ** KEPT (pick-wt=41): 102 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f10(A,B,C),$f9(A,B,C))=$f11(A,B,C)| -in(D,$f18(A,B,C))|ordered_pair($f15(A,B,C,D),$f14(A,B,C,D))=D.
% 1.89/2.08 ** KEPT (pick-wt=38): 103 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f10(A,B,C),$f9(A,B,C))=$f11(A,B,C)| -in(D,$f18(A,B,C))|in($f15(A,B,C,D),complements_of_subsets(the_carrier(A),B)).
% 1.89/2.08 ** KEPT (pick-wt=50): 104 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f10(A,B,C),$f9(A,B,C))=$f11(A,B,C)| -in(D,$f18(A,B,C))| -element(E,powerset(the_carrier(A)))|E!=$f15(A,B,C,D)|$f14(A,B,C,D)=subset_complement(the_carrier(A),E).
% 1.89/2.08 ** KEPT (pick-wt=62): 105 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f10(A,B,C),$f9(A,B,C))=$f11(A,B,C)|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,C,D,E,F,G),powerset(the_carrier(A))).
% 1.89/2.08 ** KEPT (pick-wt=60): 106 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f10(A,B,C),$f9(A,B,C))=$f11(A,B,C)|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|$f17(A,B,C,D,E,F,G)=F.
% 1.89/2.08 ** KEPT (pick-wt=63): 108 [copy,107,flip.9] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|ordered_pair($f10(A,B,C),$f9(A,B,C))=$f11(A,B,C)|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|subset_complement(the_carrier(A),$f17(A,B,C,D,E,F,G))!=G.
% 1.89/2.08 ** KEPT (pick-wt=35): 109 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(D,$f18(A,B,C))|in($f16(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)).
% 1.89/2.08 ** KEPT (pick-wt=30): 110 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(D,$f18(A,B,C))|$f16(A,B,C,D)=D.
% 1.90/2.10 ** KEPT (pick-wt=36): 111 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(D,$f18(A,B,C))|ordered_pair($f15(A,B,C,D),$f14(A,B,C,D))=D.
% 1.90/2.10 ** KEPT (pick-wt=33): 112 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(D,$f18(A,B,C))|in($f15(A,B,C,D),complements_of_subsets(the_carrier(A),B)).
% 1.90/2.10 ** KEPT (pick-wt=45): 113 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B,C),complements_of_subsets(the_carrier(A),B))| -in(D,$f18(A,B,C))| -element(E,powerset(the_carrier(A)))|E!=$f15(A,B,C,D)|$f14(A,B,C,D)=subset_complement(the_carrier(A),E).
% 1.90/2.10 ** KEPT (pick-wt=57): 114 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B,C),complements_of_subsets(the_carrier(A),B))|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,C,D,E,F,G),powerset(the_carrier(A))).
% 1.90/2.10 ** KEPT (pick-wt=55): 115 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B,C),complements_of_subsets(the_carrier(A),B))|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|$f17(A,B,C,D,E,F,G)=F.
% 1.90/2.10 ** KEPT (pick-wt=58): 117 [copy,116,flip.9] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B,C),complements_of_subsets(the_carrier(A),B))|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|subset_complement(the_carrier(A),$f17(A,B,C,D,E,F,G))!=G.
% 1.90/2.10 ** KEPT (pick-wt=46): 118 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B,D)|$f9(A,B,D)=subset_complement(the_carrier(A),C)| -in(E,$f18(A,B,D))|in($f16(A,B,D,E),cartesian_product2(complements_of_subsets(the_carrier(A),B),D)).
% 1.90/2.10 ** KEPT (pick-wt=41): 119 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B,D)|$f9(A,B,D)=subset_complement(the_carrier(A),C)| -in(E,$f18(A,B,D))|$f16(A,B,D,E)=E.
% 1.90/2.10 ** KEPT (pick-wt=47): 120 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B,D)|$f9(A,B,D)=subset_complement(the_carrier(A),C)| -in(E,$f18(A,B,D))|ordered_pair($f15(A,B,D,E),$f14(A,B,D,E))=E.
% 1.90/2.10 ** KEPT (pick-wt=44): 121 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B,D)|$f9(A,B,D)=subset_complement(the_carrier(A),C)| -in(E,$f18(A,B,D))|in($f15(A,B,D,E),complements_of_subsets(the_carrier(A),B)).
% 1.90/2.10 ** KEPT (pick-wt=56): 122 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B,D)|$f9(A,B,D)=subset_complement(the_carrier(A),C)| -in(E,$f18(A,B,D))| -element(F,powerset(the_carrier(A)))|F!=$f15(A,B,D,E)|$f14(A,B,D,E)=subset_complement(the_carrier(A),F).
% 1.90/2.10 ** KEPT (pick-wt=68): 123 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B,D)|$f9(A,B,D)=subset_complement(the_carrier(A),C)|in(E,$f18(A,B,D))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D))|F!=E|ordered_pair(G,H)!=E| -in(G,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,D,E,F,G,H),powerset(the_carrier(A))).
% 1.90/2.10 ** KEPT (pick-wt=66): 124 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B,D)|$f9(A,B,D)=subset_complement(the_carrier(A),C)|in(E,$f18(A,B,D))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D))|F!=E|ordered_pair(G,H)!=E| -in(G,complements_of_subsets(the_carrier(A),B))|$f17(A,B,D,E,F,G,H)=G.
% 6.12/6.34 ** KEPT (pick-wt=69): 126 [copy,125,flip.11] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B,D)|$f9(A,B,D)=subset_complement(the_carrier(A),C)|in(E,$f18(A,B,D))| -in(F,cartesian_product2(complements_of_subsets(the_carrier(A),B),D))|F!=E|ordered_pair(G,H)!=E| -in(G,complements_of_subsets(the_carrier(A),B))|subset_complement(the_carrier(A),$f17(A,B,D,E,F,G,H))!=H.
% 6.12/6.34 ** KEPT (pick-wt=35): 127 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f12(A,B,C)!=$f11(A,B,C)| -in(D,$f18(A,B,C))|in($f16(A,B,C,D),cartesian_product2(complements_of_subsets(the_carrier(A),B),C)).
% 6.12/6.34 ** KEPT (pick-wt=30): 128 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f12(A,B,C)!=$f11(A,B,C)| -in(D,$f18(A,B,C))|$f16(A,B,C,D)=D.
% 6.12/6.34 ** KEPT (pick-wt=36): 129 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f12(A,B,C)!=$f11(A,B,C)| -in(D,$f18(A,B,C))|ordered_pair($f15(A,B,C,D),$f14(A,B,C,D))=D.
% 6.12/6.34 ** KEPT (pick-wt=33): 130 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f12(A,B,C)!=$f11(A,B,C)| -in(D,$f18(A,B,C))|in($f15(A,B,C,D),complements_of_subsets(the_carrier(A),B)).
% 6.12/6.34 ** KEPT (pick-wt=45): 131 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f12(A,B,C)!=$f11(A,B,C)| -in(D,$f18(A,B,C))| -element(E,powerset(the_carrier(A)))|E!=$f15(A,B,C,D)|$f14(A,B,C,D)=subset_complement(the_carrier(A),E).
% 6.12/6.34 ** KEPT (pick-wt=57): 132 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f12(A,B,C)!=$f11(A,B,C)|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|element($f17(A,B,C,D,E,F,G),powerset(the_carrier(A))).
% 6.12/6.34 ** KEPT (pick-wt=55): 133 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f12(A,B,C)!=$f11(A,B,C)|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|$f17(A,B,C,D,E,F,G)=F.
% 6.12/6.34 ** KEPT (pick-wt=58): 135 [copy,134,flip.9] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f12(A,B,C)!=$f11(A,B,C)|in(D,$f18(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|E!=D|ordered_pair(F,G)!=D| -in(F,complements_of_subsets(the_carrier(A),B))|subset_complement(the_carrier(A),$f17(A,B,C,D,E,F,G))!=G.
% 6.12/6.34
% 6.12/6.34 ------------> process sos:
% 6.12/6.34 ** KEPT (pick-wt=3): 198 [] A=A.
% 6.12/6.34 ** KEPT (pick-wt=2): 199 [] one_sorted_str($c3).
% 6.12/6.34 ** KEPT (pick-wt=6): 200 [] element($c2,powerset(powerset(the_carrier($c3)))).
% 6.12/6.34 ** KEPT (pick-wt=13): 201 [] in($f4(A),A)|in($f4(A),cartesian_product2(complements_of_subsets(the_carrier($c3),$c2),$c1)).
% 6.12/6.34 ** KEPT (pick-wt=12): 203 [copy,202,flip.2] in($f4(A),A)|$f4(A)=ordered_pair($f2(A),$f1(A)).
% 6.12/6.34 ** KEPT (pick-wt=11): 204 [] in($f4(A),A)|in($f2(A),complements_of_subsets(the_carrier($c3),$c2)).
% 6.12/6.34 ** KEPT (pick-wt=2): 205 [] v1_membered($c4).
% 6.12/6.34 ** KEPT (pick-wt=2): 206 [] v2_membered($c4).
% 6.12/6.34 ** KEPT (pick-wt=2): 207 [] v3_membered($c4).
% 6.12/6.34 ** KEPT (pick-wt=2): 208 [] v4_membered($c4).
% 6.12/6.34 ** KEPT (pick-wt=2): 209 [] v5_membered($c4).
% 6.12/6.34 ** KEPT (pick-wt=7): 210 [] empty(A)|element($f5(A),powerset(A)).
% 6.12/6.34 ** KEPT (pick-wt=5): 211 [] element($f6(A),powerset(A)).
% 6.12/6.34 ** KEPT (pick-wt=3): 212 [] empty($f6(A)).
% 6.12/6.34 Following clause subsumed by 198 during input processing: 0 [copy,198,flip.1] A=A.
% 6.12/6.34
% 6.12/6.34 ======= end of input processing =======
% 6.12/6.34
% 6.12/6.34 =========== start of search ===========
% 6.12/6.34
% 6.12/6.34
% 6.12/6.34 Resetting weight limit to 10.
% 6.12/6.34
% 6.12/6.34
% 6.12/6.34 Resetting weight limit to 10.
% 6.12/6.34
% 6.12/6.34 sos_size=65
% 6.12/6.34
% 6.12/6.34
% 6.12/6.34 Resetting weight limit to 7.
% 6.12/6.34
% 6.12/6.34
% 6.12/6.34 Resetting weight limit to 7.
% 6.12/6.34
% 6.12/6.34 sos_size=82
% 6.12/6.34
% 6.12/6.34 Search stopped because sos empty.
% 6.12/6.34
% 6.12/6.34
% 6.12/6.34 Search stopped because sos empty.
% 6.12/6.34
% 6.12/6.34 ============ end of search ============
% 6.12/6.34
% 6.12/6.34 -------------- statistics -------------
% 6.12/6.34 clauses given 130
% 6.12/6.34 clauses generated 67002
% 6.12/6.34 clauses kept 317
% 6.12/6.34 clauses forward subsumed 236
% 6.12/6.34 clauses back subsumed 0
% 6.12/6.34 Kbytes malloced 5859
% 6.12/6.34
% 6.12/6.34 ----------- times (seconds) -----------
% 6.12/6.34 user CPU time 4.28 (0 hr, 0 min, 4 sec)
% 6.12/6.34 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 6.12/6.34 wall-clock time 6 (0 hr, 0 min, 6 sec)
% 6.12/6.34
% 6.12/6.34 Process 13764 finished Wed Jul 27 08:01:02 2022
% 6.12/6.34 Otter interrupted
% 6.12/6.34 PROOF NOT FOUND
%------------------------------------------------------------------------------