TSTP Solution File: SEU330+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU330+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 13:15:42 EDT 2022
% Result : Unknown 13.59s 13.76s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU330+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 07:30:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.11/2.30 ----- Otter 3.3f, August 2004 -----
% 2.11/2.30 The process was started by sandbox on n014.cluster.edu,
% 2.11/2.30 Wed Jul 27 07:30:39 2022
% 2.11/2.30 The command was "./otter". The process ID is 24497.
% 2.11/2.30
% 2.11/2.30 set(prolog_style_variables).
% 2.11/2.30 set(auto).
% 2.11/2.30 dependent: set(auto1).
% 2.11/2.30 dependent: set(process_input).
% 2.11/2.30 dependent: clear(print_kept).
% 2.11/2.30 dependent: clear(print_new_demod).
% 2.11/2.30 dependent: clear(print_back_demod).
% 2.11/2.30 dependent: clear(print_back_sub).
% 2.11/2.30 dependent: set(control_memory).
% 2.11/2.30 dependent: assign(max_mem, 12000).
% 2.11/2.30 dependent: assign(pick_given_ratio, 4).
% 2.11/2.30 dependent: assign(stats_level, 1).
% 2.11/2.30 dependent: assign(max_seconds, 10800).
% 2.11/2.30 clear(print_given).
% 2.11/2.30
% 2.11/2.30 formula_list(usable).
% 2.11/2.30 all A (A=A).
% 2.11/2.30 -(all A B (one_sorted_str(A)&element(B,powerset(powerset(the_carrier(A))))-> ((all C D E (in(C,complements_of_subsets(the_carrier(A),B))& (all F (element(F,powerset(the_carrier(A)))-> (F=C->D=subset_complement(the_carrier(A),F))))&in(C,complements_of_subsets(the_carrier(A),B))& (all G (element(G,powerset(the_carrier(A)))-> (G=C->E=subset_complement(the_carrier(A),G))))->D=E))-> (exists C (relation(C)&function(C)& (all D E (in(ordered_pair(D,E),C)<->in(D,complements_of_subsets(the_carrier(A),B))&in(D,complements_of_subsets(the_carrier(A),B))& (all H (element(H,powerset(the_carrier(A)))-> (H=D->E=subset_complement(the_carrier(A),H))))))))))).
% 2.11/2.30 all A (v5_membered(A)->v4_membered(A)).
% 2.11/2.30 all A (v4_membered(A)->v3_membered(A)).
% 2.11/2.30 all A (v3_membered(A)->v2_membered(A)).
% 2.11/2.30 all A (v2_membered(A)->v1_membered(A)).
% 2.11/2.30 exists A (-empty(A)&v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 2.11/2.30 all A (v1_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)))).
% 2.11/2.30 all A (v2_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)))).
% 2.11/2.30 all A (v3_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)&v1_rat_1(B)))).
% 2.11/2.30 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)))).
% 2.11/2.30 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)))).
% 2.11/2.30 all A (v1_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)))).
% 2.11/2.30 all A (v2_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)))).
% 2.11/2.30 all A (v3_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)))).
% 2.11/2.30 all A (v4_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)))).
% 2.11/2.30 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)))).
% 2.11/2.30 all A (empty(A)->v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 2.11/2.30 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.11/2.30 all A exists B (element(B,powerset(A))&empty(B)).
% 2.11/2.30 all A B (element(B,powerset(A))->subset_complement(A,subset_complement(A,B))=B).
% 2.11/2.30 all A B (element(B,powerset(powerset(A)))->complements_of_subsets(A,complements_of_subsets(A,B))=B).
% 2.11/2.30 all A B (in(A,B)-> -in(B,A)).
% 2.11/2.30 $T.
% 2.11/2.30 all A B (element(B,powerset(A))->element(subset_complement(A,B),powerset(A))).
% 2.11/2.30 $T.
% 2.11/2.30 all A B (element(B,powerset(powerset(A)))->element(complements_of_subsets(A,B),powerset(powerset(A)))).
% 2.11/2.30 $T.
% 2.11/2.30 $T.
% 2.11/2.30 $T.
% 2.11/2.30 all A (-empty(powerset(A))).
% 2.11/2.30 all A B (one_sorted_str(A)&element(B,powerset(powerset(the_carrier(A))))-> ((all C D E (in(C,complements_of_subsets(the_carrier(A),B))& (all F (element(F,powerset(the_carrier(A)))-> (F=C->D=subset_complement(the_carrier(A),F))))&in(C,complements_of_subsets(the_carrier(A),B))& (all G (element(G,powerset(the_carrier(A)))-> (G=C->E=subset_complement(the_carrier(A),G))))->D=E))-> (exists C all D (in(D,C)<-> (exists E (in(E,complements_of_subsets(the_carrier(A),B))&in(E,complements_of_subsets(the_carrier(A),B))& (all H (element(H,powerset(the_carrier(A)))-> (H=E->D=subset_complement(the_carrier(A),H)))))))))).
% 2.11/2.30 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))))))))).
% 2.11/2.30 all A (empty(A)->function(A)).
% 2.11/2.30 all A (empty(A)->relation(A)).
% 2.11/2.30 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 2.11/2.30 all A (function(A)<-> (all B C D (in(ordered_pair(B,C),A)&in(ordered_pair(B,D),A)->C=D))).
% 2.11/2.30 all A (relation(A)<-> (all B (-(in(B,A)& (all C D (B!=ordered_pair(C,D))))))).
% 2.11/2.30 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 2.11/2.30 $T.
% 2.11/2.30 $T.
% 2.11/2.30 $T.
% 2.11/2.30 $T.
% 2.11/2.30 all A exists B element(B,A).
% 2.11/2.30 empty(empty_set).
% 2.11/2.30 relation(empty_set).
% 2.11/2.30 relation_empty_yielding(empty_set).
% 2.11/2.30 empty(empty_set).
% 2.11/2.30 all A B (-empty(ordered_pair(A,B))).
% 2.11/2.30 all A (-empty(singleton(A))).
% 2.11/2.30 all A B (-empty(unordered_pair(A,B))).
% 2.11/2.30 empty(empty_set).
% 2.11/2.30 relation(empty_set).
% 2.11/2.30 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 2.11/2.30 exists A (relation(A)&function(A)).
% 2.11/2.30 exists A (empty(A)&relation(A)).
% 2.11/2.30 exists A empty(A).
% 2.11/2.30 exists A (-empty(A)&relation(A)).
% 2.11/2.30 exists A (-empty(A)).
% 2.11/2.30 exists A (relation(A)&relation_empty_yielding(A)).
% 2.11/2.30 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 2.11/2.30 all A B (in(A,B)->element(A,B)).
% 2.11/2.30 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.11/2.30 all A B C D (ordered_pair(A,B)=ordered_pair(C,D)->A=C&B=D).
% 2.11/2.30 all A (empty(A)->A=empty_set).
% 2.11/2.30 all A B (-(in(A,B)&empty(B))).
% 2.11/2.30 all A B (-(empty(A)&A!=B&empty(B))).
% 2.11/2.30 end_of_list.
% 2.11/2.30
% 2.11/2.30 -------> usable clausifies to:
% 2.11/2.30
% 2.11/2.30 list(usable).
% 2.11/2.30 0 [] A=A.
% 2.11/2.30 0 [] one_sorted_str($c2).
% 2.11/2.30 0 [] element($c1,powerset(powerset(the_carrier($c2)))).
% 2.11/2.30 0 [] -in(C,complements_of_subsets(the_carrier($c2),$c1))|element($f1(C,D,E),powerset(the_carrier($c2)))|element($f2(C,D,E),powerset(the_carrier($c2)))|D=E.
% 2.11/2.30 0 [] -in(C,complements_of_subsets(the_carrier($c2),$c1))|element($f1(C,D,E),powerset(the_carrier($c2)))|$f2(C,D,E)=C|D=E.
% 2.11/2.30 0 [] -in(C,complements_of_subsets(the_carrier($c2),$c1))|element($f1(C,D,E),powerset(the_carrier($c2)))|E!=subset_complement(the_carrier($c2),$f2(C,D,E))|D=E.
% 2.11/2.30 0 [] -in(C,complements_of_subsets(the_carrier($c2),$c1))|$f1(C,D,E)=C|element($f2(C,D,E),powerset(the_carrier($c2)))|D=E.
% 2.11/2.30 0 [] -in(C,complements_of_subsets(the_carrier($c2),$c1))|$f1(C,D,E)=C|$f2(C,D,E)=C|D=E.
% 2.11/2.30 0 [] -in(C,complements_of_subsets(the_carrier($c2),$c1))|$f1(C,D,E)=C|E!=subset_complement(the_carrier($c2),$f2(C,D,E))|D=E.
% 2.11/2.30 0 [] -in(C,complements_of_subsets(the_carrier($c2),$c1))|D!=subset_complement(the_carrier($c2),$f1(C,D,E))|element($f2(C,D,E),powerset(the_carrier($c2)))|D=E.
% 2.11/2.30 0 [] -in(C,complements_of_subsets(the_carrier($c2),$c1))|D!=subset_complement(the_carrier($c2),$f1(C,D,E))|$f2(C,D,E)=C|D=E.
% 2.11/2.30 0 [] -in(C,complements_of_subsets(the_carrier($c2),$c1))|D!=subset_complement(the_carrier($c2),$f1(C,D,E))|E!=subset_complement(the_carrier($c2),$f2(C,D,E))|D=E.
% 2.11/2.30 0 [] -relation(X1)| -function(X1)|in(ordered_pair($f5(X1),$f4(X1)),X1)|in($f5(X1),complements_of_subsets(the_carrier($c2),$c1)).
% 2.11/2.30 0 [] -relation(X1)| -function(X1)|in(ordered_pair($f5(X1),$f4(X1)),X1)| -element(H,powerset(the_carrier($c2)))|H!=$f5(X1)|$f4(X1)=subset_complement(the_carrier($c2),H).
% 2.11/2.30 0 [] -relation(X1)| -function(X1)| -in(ordered_pair($f5(X1),$f4(X1)),X1)| -in($f5(X1),complements_of_subsets(the_carrier($c2),$c1))|element($f3(X1),powerset(the_carrier($c2))).
% 2.11/2.30 0 [] -relation(X1)| -function(X1)| -in(ordered_pair($f5(X1),$f4(X1)),X1)| -in($f5(X1),complements_of_subsets(the_carrier($c2),$c1))|$f3(X1)=$f5(X1).
% 2.11/2.30 0 [] -relation(X1)| -function(X1)| -in(ordered_pair($f5(X1),$f4(X1)),X1)| -in($f5(X1),complements_of_subsets(the_carrier($c2),$c1))|$f4(X1)!=subset_complement(the_carrier($c2),$f3(X1)).
% 2.11/2.30 0 [] -v5_membered(A)|v4_membered(A).
% 2.11/2.30 0 [] -v4_membered(A)|v3_membered(A).
% 2.11/2.30 0 [] -v3_membered(A)|v2_membered(A).
% 2.11/2.30 0 [] -v2_membered(A)|v1_membered(A).
% 2.11/2.30 0 [] -empty($c3).
% 2.11/2.30 0 [] v1_membered($c3).
% 2.11/2.30 0 [] v2_membered($c3).
% 2.11/2.30 0 [] v3_membered($c3).
% 2.11/2.30 0 [] v4_membered($c3).
% 2.11/2.30 0 [] v5_membered($c3).
% 2.11/2.30 0 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.11/2.30 0 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.11/2.30 0 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.11/2.30 0 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.11/2.30 0 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.11/2.30 0 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.11/2.30 0 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.11/2.30 0 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.11/2.30 0 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 2.11/2.30 0 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.11/2.30 0 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.11/2.30 0 [] -v5_membered(A)| -element(B,A)|natural(B).
% 2.11/2.30 0 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.11/2.30 0 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 2.11/2.30 0 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.11/2.30 0 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.11/2.30 0 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.11/2.30 0 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.11/2.30 0 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.11/2.30 0 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.11/2.30 0 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.11/2.30 0 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.11/2.30 0 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.11/2.30 0 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.11/2.30 0 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.11/2.30 0 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.11/2.30 0 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.11/2.30 0 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.11/2.30 0 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.11/2.30 0 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 2.11/2.30 0 [] -empty(A)|v1_membered(A).
% 2.11/2.30 0 [] -empty(A)|v2_membered(A).
% 2.11/2.30 0 [] -empty(A)|v3_membered(A).
% 2.11/2.30 0 [] -empty(A)|v4_membered(A).
% 2.11/2.30 0 [] -empty(A)|v5_membered(A).
% 2.11/2.30 0 [] empty(A)|element($f6(A),powerset(A)).
% 2.11/2.30 0 [] empty(A)| -empty($f6(A)).
% 2.11/2.30 0 [] element($f7(A),powerset(A)).
% 2.11/2.30 0 [] empty($f7(A)).
% 2.11/2.30 0 [] -element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B.
% 2.11/2.30 0 [] -element(B,powerset(powerset(A)))|complements_of_subsets(A,complements_of_subsets(A,B))=B.
% 2.11/2.30 0 [] -in(A,B)| -in(B,A).
% 2.11/2.30 0 [] $T.
% 2.11/2.30 0 [] -element(B,powerset(A))|element(subset_complement(A,B),powerset(A)).
% 2.11/2.30 0 [] $T.
% 2.11/2.30 0 [] -element(B,powerset(powerset(A)))|element(complements_of_subsets(A,B),powerset(powerset(A))).
% 2.11/2.30 0 [] $T.
% 2.11/2.30 0 [] $T.
% 2.11/2.30 0 [] $T.
% 2.11/2.30 0 [] -empty(powerset(A)).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B),complements_of_subsets(the_carrier(A),B))| -in(D,$f13(A,B))|in($f11(A,B,D),complements_of_subsets(the_carrier(A),B)).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B),complements_of_subsets(the_carrier(A),B))| -in(D,$f13(A,B))| -element(H,powerset(the_carrier(A)))|H!=$f11(A,B,D)|D=subset_complement(the_carrier(A),H).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B),complements_of_subsets(the_carrier(A),B))|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|element($f12(A,B,D,E),powerset(the_carrier(A))).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B),complements_of_subsets(the_carrier(A),B))|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|$f12(A,B,D,E)=E.
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B),complements_of_subsets(the_carrier(A),B))|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|D!=subset_complement(the_carrier(A),$f12(A,B,D,E)).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(F,powerset(the_carrier(A)))|F!=$f10(A,B)|$f9(A,B)=subset_complement(the_carrier(A),F)| -in(D,$f13(A,B))|in($f11(A,B,D),complements_of_subsets(the_carrier(A),B)).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(F,powerset(the_carrier(A)))|F!=$f10(A,B)|$f9(A,B)=subset_complement(the_carrier(A),F)| -in(D,$f13(A,B))| -element(H,powerset(the_carrier(A)))|H!=$f11(A,B,D)|D=subset_complement(the_carrier(A),H).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(F,powerset(the_carrier(A)))|F!=$f10(A,B)|$f9(A,B)=subset_complement(the_carrier(A),F)|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|element($f12(A,B,D,E),powerset(the_carrier(A))).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(F,powerset(the_carrier(A)))|F!=$f10(A,B)|$f9(A,B)=subset_complement(the_carrier(A),F)|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|$f12(A,B,D,E)=E.
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(F,powerset(the_carrier(A)))|F!=$f10(A,B)|$f9(A,B)=subset_complement(the_carrier(A),F)|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|D!=subset_complement(the_carrier(A),$f12(A,B,D,E)).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(G,powerset(the_carrier(A)))|G!=$f10(A,B)|$f8(A,B)=subset_complement(the_carrier(A),G)| -in(D,$f13(A,B))|in($f11(A,B,D),complements_of_subsets(the_carrier(A),B)).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(G,powerset(the_carrier(A)))|G!=$f10(A,B)|$f8(A,B)=subset_complement(the_carrier(A),G)| -in(D,$f13(A,B))| -element(H,powerset(the_carrier(A)))|H!=$f11(A,B,D)|D=subset_complement(the_carrier(A),H).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(G,powerset(the_carrier(A)))|G!=$f10(A,B)|$f8(A,B)=subset_complement(the_carrier(A),G)|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|element($f12(A,B,D,E),powerset(the_carrier(A))).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(G,powerset(the_carrier(A)))|G!=$f10(A,B)|$f8(A,B)=subset_complement(the_carrier(A),G)|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|$f12(A,B,D,E)=E.
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(G,powerset(the_carrier(A)))|G!=$f10(A,B)|$f8(A,B)=subset_complement(the_carrier(A),G)|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|D!=subset_complement(the_carrier(A),$f12(A,B,D,E)).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f9(A,B)!=$f8(A,B)| -in(D,$f13(A,B))|in($f11(A,B,D),complements_of_subsets(the_carrier(A),B)).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f9(A,B)!=$f8(A,B)| -in(D,$f13(A,B))| -element(H,powerset(the_carrier(A)))|H!=$f11(A,B,D)|D=subset_complement(the_carrier(A),H).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f9(A,B)!=$f8(A,B)|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|element($f12(A,B,D,E),powerset(the_carrier(A))).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f9(A,B)!=$f8(A,B)|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|$f12(A,B,D,E)=E.
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f9(A,B)!=$f8(A,B)|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|D!=subset_complement(the_carrier(A),$f12(A,B,D,E)).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -in(E,$f17(A,B,C))|in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C)).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -in(E,$f17(A,B,C))|ordered_pair($f15(A,B,C,E),$f14(A,B,C,E))=E.
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -in(E,$f17(A,B,C))|in($f15(A,B,C,E),complements_of_subsets(the_carrier(A),B)).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -in(E,$f17(A,B,C))| -element(H,powerset(the_carrier(A)))|H!=$f15(A,B,C,E)|$f14(A,B,C,E)=subset_complement(the_carrier(A),H).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(E,$f17(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|ordered_pair(F,G)!=E| -in(F,complements_of_subsets(the_carrier(A),B))|element($f16(A,B,C,E,F,G),powerset(the_carrier(A))).
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(E,$f17(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|ordered_pair(F,G)!=E| -in(F,complements_of_subsets(the_carrier(A),B))|$f16(A,B,C,E,F,G)=F.
% 2.11/2.30 0 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(E,$f17(A,B,C))| -in(E,cartesian_product2(complements_of_subsets(the_carrier(A),B),C))|ordered_pair(F,G)!=E| -in(F,complements_of_subsets(the_carrier(A),B))|G!=subset_complement(the_carrier(A),$f16(A,B,C,E,F,G)).
% 2.11/2.30 0 [] -empty(A)|function(A).
% 2.11/2.30 0 [] -empty(A)|relation(A).
% 2.11/2.30 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 2.11/2.30 0 [] -function(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(B,D),A)|C=D.
% 2.11/2.30 0 [] function(A)|in(ordered_pair($f20(A),$f19(A)),A).
% 2.11/2.30 0 [] function(A)|in(ordered_pair($f20(A),$f18(A)),A).
% 2.11/2.30 0 [] function(A)|$f19(A)!=$f18(A).
% 2.11/2.30 0 [] -relation(A)| -in(B,A)|B=ordered_pair($f22(A,B),$f21(A,B)).
% 2.11/2.30 0 [] relation(A)|in($f23(A),A).
% 2.11/2.30 0 [] relation(A)|$f23(A)!=ordered_pair(C,D).
% 2.11/2.30 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 2.11/2.30 0 [] $T.
% 2.11/2.30 0 [] $T.
% 2.11/2.30 0 [] $T.
% 2.11/2.30 0 [] $T.
% 2.11/2.30 0 [] element($f24(A),A).
% 2.11/2.30 0 [] empty(empty_set).
% 2.11/2.30 0 [] relation(empty_set).
% 2.11/2.30 0 [] relation_empty_yielding(empty_set).
% 2.11/2.30 0 [] empty(empty_set).
% 2.11/2.30 0 [] -empty(ordered_pair(A,B)).
% 2.11/2.30 0 [] -empty(singleton(A)).
% 2.11/2.30 0 [] -empty(unordered_pair(A,B)).
% 2.11/2.30 0 [] empty(empty_set).
% 2.11/2.30 0 [] relation(empty_set).
% 2.11/2.30 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.11/2.30 0 [] relation($c4).
% 2.11/2.30 0 [] function($c4).
% 2.11/2.30 0 [] empty($c5).
% 2.11/2.30 0 [] relation($c5).
% 2.11/2.30 0 [] empty($c6).
% 2.11/2.30 0 [] -empty($c7).
% 2.11/2.30 0 [] relation($c7).
% 2.11/2.30 0 [] -empty($c8).
% 2.11/2.30 0 [] relation($c9).
% 2.11/2.30 0 [] relation_empty_yielding($c9).
% 2.11/2.30 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 2.11/2.30 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 2.11/2.30 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 2.11/2.30 0 [] -in(A,B)|element(A,B).
% 2.11/2.30 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.11/2.30 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 2.11/2.30 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 2.11/2.30 0 [] -empty(A)|A=empty_set.
% 2.11/2.30 0 [] -in(A,B)| -empty(B).
% 2.11/2.30 0 [] -empty(A)|A=B| -empty(B).
% 2.11/2.30 end_of_list.
% 2.11/2.30
% 2.11/2.30 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 2.11/2.30
% 2.11/2.30 This ia a non-Horn set with equality. The strategy will be
% 2.11/2.30 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.11/2.30 deletion, with positive clauses in sos and nonpositive
% 2.11/2.30 clauses in usable.
% 2.11/2.30
% 2.11/2.30 dependent: set(knuth_bendix).
% 2.11/2.30 dependent: set(anl_eq).
% 2.11/2.30 dependent: set(para_from).
% 2.11/2.30 dependent: set(para_into).
% 2.11/2.30 dependent: clear(para_from_right).
% 2.11/2.30 dependent: clear(para_into_right).
% 2.11/2.30 dependent: set(para_from_vars).
% 2.11/2.30 dependent: set(eq_units_both_ways).
% 2.11/2.30 dependent: set(dynamic_demod_all).
% 2.11/2.30 dependent: set(dynamic_demod).
% 2.11/2.30 dependent: set(order_eq).
% 2.11/2.30 dependent: set(back_demod).
% 2.11/2.30 dependent: set(lrpo).
% 2.11/2.30 dependent: set(hyper_res).
% 2.11/2.30 dependent: set(unit_deletion).
% 2.11/2.30 dependent: set(factor).
% 2.11/2.30
% 2.11/2.30 ------------> process usable:
% 2.11/2.30 ** KEPT (pick-wt=25): 1 [] -in(A,complements_of_subsets(the_carrier($c2),$c1))|element($f1(A,B,C),powerset(the_carrier($c2)))|element($f2(A,B,C),powerset(the_carrier($c2)))|B=C.
% 2.11/2.30 ** KEPT (pick-wt=23): 2 [] -in(A,complements_of_subsets(the_carrier($c2),$c1))|element($f1(A,B,C),powerset(the_carrier($c2)))|$f2(A,B,C)=A|B=C.
% 2.11/2.30 ** KEPT (pick-wt=26): 4 [copy,3,flip.3] -in(A,complements_of_subsets(the_carrier($c2),$c1))|element($f1(A,B,C),powerset(the_carrier($c2)))|subset_complement(the_carrier($c2),$f2(A,B,C))!=C|B=C.
% 2.11/2.30 ** KEPT (pick-wt=23): 5 [] -in(A,complements_of_subsets(the_carrier($c2),$c1))|$f1(A,B,C)=A|element($f2(A,B,C),powerset(the_carrier($c2)))|B=C.
% 2.11/2.30 ** KEPT (pick-wt=21): 6 [] -in(A,complements_of_subsets(the_carrier($c2),$c1))|$f1(A,B,C)=A|$f2(A,B,C)=A|B=C.
% 2.11/2.30 ** KEPT (pick-wt=24): 8 [copy,7,flip.3] -in(A,complements_of_subsets(the_carrier($c2),$c1))|$f1(A,B,C)=A|subset_complement(the_carrier($c2),$f2(A,B,C))!=C|B=C.
% 2.11/2.30 ** KEPT (pick-wt=26): 10 [copy,9,flip.2] -in(A,complements_of_subsets(the_carrier($c2),$c1))|subset_complement(the_carrier($c2),$f1(A,B,C))!=B|element($f2(A,B,C),powerset(the_carrier($c2)))|B=C.
% 2.11/2.30 ** KEPT (pick-wt=24): 12 [copy,11,flip.2] -in(A,complements_of_subsets(the_carrier($c2),$c1))|subset_complement(the_carrier($c2),$f1(A,B,C))!=B|$f2(A,B,C)=A|B=C.
% 2.11/2.30 ** KEPT (pick-wt=27): 14 [copy,13,flip.2,flip.3] -in(A,complements_of_subsets(the_carrier($c2),$c1))|subset_complement(the_carrier($c2),$f1(A,B,C))!=B|subset_complement(the_carrier($c2),$f2(A,B,C))!=C|B=C.
% 2.11/2.30 ** KEPT (pick-wt=18): 15 [] -relation(A)| -function(A)|in(ordered_pair($f5(A),$f4(A)),A)|in($f5(A),complements_of_subsets(the_carrier($c2),$c1)).
% 2.11/2.30 ** KEPT (pick-wt=27): 16 [] -relation(A)| -function(A)|in(ordered_pair($f5(A),$f4(A)),A)| -element(B,powerset(the_carrier($c2)))|B!=$f5(A)|$f4(A)=subset_complement(the_carrier($c2),B).
% 2.11/2.30 ** KEPT (pick-wt=24): 17 [] -relation(A)| -function(A)| -in(ordered_pair($f5(A),$f4(A)),A)| -in($f5(A),complements_of_subsets(the_carrier($c2),$c1))|element($f3(A),powerset(the_carrier($c2))).
% 2.11/2.30 ** KEPT (pick-wt=23): 19 [copy,18,flip.5] -relation(A)| -function(A)| -in(ordered_pair($f5(A),$f4(A)),A)| -in($f5(A),complements_of_subsets(the_carrier($c2),$c1))|$f5(A)=$f3(A).
% 2.11/2.30 ** KEPT (pick-wt=26): 20 [] -relation(A)| -function(A)| -in(ordered_pair($f5(A),$f4(A)),A)| -in($f5(A),complements_of_subsets(the_carrier($c2),$c1))|$f4(A)!=subset_complement(the_carrier($c2),$f3(A)).
% 2.11/2.30 ** KEPT (pick-wt=4): 21 [] -v5_membered(A)|v4_membered(A).
% 2.11/2.30 ** KEPT (pick-wt=4): 22 [] -v4_membered(A)|v3_membered(A).
% 2.11/2.30 ** KEPT (pick-wt=4): 23 [] -v3_membered(A)|v2_membered(A).
% 2.11/2.30 ** KEPT (pick-wt=4): 24 [] -v2_membered(A)|v1_membered(A).
% 2.11/2.30 ** KEPT (pick-wt=2): 25 [] -empty($c3).
% 2.11/2.30 ** KEPT (pick-wt=7): 26 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.11/2.30 ** KEPT (pick-wt=7): 27 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.11/2.30 ** KEPT (pick-wt=7): 28 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.11/2.30 ** KEPT (pick-wt=7): 29 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.11/2.30 ** KEPT (pick-wt=7): 30 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.11/2.30 ** KEPT (pick-wt=7): 31 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.11/2.30 ** KEPT (pick-wt=7): 32 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.11/2.30 ** KEPT (pick-wt=7): 33 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.11/2.30 ** KEPT (pick-wt=7): 34 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 2.11/2.30 ** KEPT (pick-wt=7): 35 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.11/2.30 ** KEPT (pick-wt=7): 36 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 2.11/2.30 ** KEPT (pick-wt=7): 37 [] -v5_membered(A)| -element(B,A)|natural(B).
% 2.11/2.30 ** KEPT (pick-wt=7): 38 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 2.11/2.30 ** KEPT (pick-wt=7): 39 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 2.11/2.30 ** KEPT (pick-wt=7): 40 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 2.11/2.30 ** KEPT (pick-wt=8): 41 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.11/2.30 ** KEPT (pick-wt=8): 42 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.11/2.30 ** KEPT (pick-wt=8): 43 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.11/2.30 ** KEPT (pick-wt=8): 44 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.11/2.30 ** KEPT (pick-wt=8): 45 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.11/2.30 ** KEPT (pick-wt=8): 46 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.11/2.30 ** KEPT (pick-wt=8): 47 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.11/2.30 ** KEPT (pick-wt=8): 48 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.11/2.30 ** KEPT (pick-wt=8): 49 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.11/2.30 ** KEPT (pick-wt=8): 50 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.11/2.30 ** KEPT (pick-wt=8): 51 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 2.11/2.30 ** KEPT (pick-wt=8): 52 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 2.11/2.30 ** KEPT (pick-wt=8): 53 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 2.11/2.30 ** KEPT (pick-wt=8): 54 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 2.11/2.30 ** KEPT (pick-wt=8): 55 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 2.11/2.30 ** KEPT (pick-wt=4): 56 [] -empty(A)|v1_membered(A).
% 2.11/2.30 ** KEPT (pick-wt=4): 57 [] -empty(A)|v2_membered(A).
% 2.11/2.30 ** KEPT (pick-wt=4): 58 [] -empty(A)|v3_membered(A).
% 2.11/2.30 ** KEPT (pick-wt=4): 59 [] -empty(A)|v4_membered(A).
% 2.11/2.30 ** KEPT (pick-wt=4): 60 [] -empty(A)|v5_membered(A).
% 2.11/2.30 ** KEPT (pick-wt=5): 61 [] empty(A)| -empty($f6(A)).
% 2.11/2.30 ** KEPT (pick-wt=11): 62 [] -element(A,powerset(B))|subset_complement(B,subset_complement(B,A))=A.
% 2.11/2.30 ** KEPT (pick-wt=12): 63 [] -element(A,powerset(powerset(B)))|complements_of_subsets(B,complements_of_subsets(B,A))=A.
% 2.11/2.30 ** KEPT (pick-wt=6): 64 [] -in(A,B)| -in(B,A).
% 2.11/2.30 ** KEPT (pick-wt=10): 65 [] -element(A,powerset(B))|element(subset_complement(B,A),powerset(B)).
% 2.11/2.30 ** KEPT (pick-wt=12): 66 [] -element(A,powerset(powerset(B)))|element(complements_of_subsets(B,A),powerset(powerset(B))).
% 2.11/2.30 ** KEPT (pick-wt=3): 67 [] -empty(powerset(A)).
% 2.11/2.30 ** KEPT (pick-wt=30): 68 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B),complements_of_subsets(the_carrier(A),B))| -in(C,$f13(A,B))|in($f11(A,B,C),complements_of_subsets(the_carrier(A),B)).
% 2.11/2.30 ** KEPT (pick-wt=38): 69 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B),complements_of_subsets(the_carrier(A),B))| -in(C,$f13(A,B))| -element(D,powerset(the_carrier(A)))|D!=$f11(A,B,C)|C=subset_complement(the_carrier(A),D).
% 2.11/2.30 ** KEPT (pick-wt=36): 70 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B),complements_of_subsets(the_carrier(A),B))|in(C,$f13(A,B))| -in(D,complements_of_subsets(the_carrier(A),B))|element($f12(A,B,C,D),powerset(the_carrier(A))).
% 2.11/2.30 ** KEPT (pick-wt=34): 71 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B),complements_of_subsets(the_carrier(A),B))|in(C,$f13(A,B))| -in(D,complements_of_subsets(the_carrier(A),B))|$f12(A,B,C,D)=D.
% 2.11/2.30 ** KEPT (pick-wt=37): 73 [copy,72,flip.6] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in($f10(A,B),complements_of_subsets(the_carrier(A),B))|in(C,$f13(A,B))| -in(D,complements_of_subsets(the_carrier(A),B))|subset_complement(the_carrier(A),$f12(A,B,C,D))!=C.
% 2.11/2.30 ** KEPT (pick-wt=40): 74 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B)|$f9(A,B)=subset_complement(the_carrier(A),C)| -in(D,$f13(A,B))|in($f11(A,B,D),complements_of_subsets(the_carrier(A),B)).
% 2.11/2.30 ** KEPT (pick-wt=48): 75 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B)|$f9(A,B)=subset_complement(the_carrier(A),C)| -in(D,$f13(A,B))| -element(E,powerset(the_carrier(A)))|E!=$f11(A,B,D)|D=subset_complement(the_carrier(A),E).
% 2.11/2.30 ** KEPT (pick-wt=46): 76 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B)|$f9(A,B)=subset_complement(the_carrier(A),C)|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|element($f12(A,B,D,E),powerset(the_carrier(A))).
% 2.11/2.30 ** KEPT (pick-wt=44): 77 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B)|$f9(A,B)=subset_complement(the_carrier(A),C)|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|$f12(A,B,D,E)=E.
% 2.11/2.30 ** KEPT (pick-wt=47): 79 [copy,78,flip.8] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B)|$f9(A,B)=subset_complement(the_carrier(A),C)|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|subset_complement(the_carrier(A),$f12(A,B,D,E))!=D.
% 2.11/2.30 ** KEPT (pick-wt=40): 80 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B)|$f8(A,B)=subset_complement(the_carrier(A),C)| -in(D,$f13(A,B))|in($f11(A,B,D),complements_of_subsets(the_carrier(A),B)).
% 2.11/2.30 ** KEPT (pick-wt=48): 81 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B)|$f8(A,B)=subset_complement(the_carrier(A),C)| -in(D,$f13(A,B))| -element(E,powerset(the_carrier(A)))|E!=$f11(A,B,D)|D=subset_complement(the_carrier(A),E).
% 2.11/2.30 ** KEPT (pick-wt=46): 82 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B)|$f8(A,B)=subset_complement(the_carrier(A),C)|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|element($f12(A,B,D,E),powerset(the_carrier(A))).
% 2.11/2.30 ** KEPT (pick-wt=44): 83 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B)|$f8(A,B)=subset_complement(the_carrier(A),C)|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|$f12(A,B,D,E)=E.
% 2.11/2.30 ** KEPT (pick-wt=47): 85 [copy,84,flip.8] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -element(C,powerset(the_carrier(A)))|C!=$f10(A,B)|$f8(A,B)=subset_complement(the_carrier(A),C)|in(D,$f13(A,B))| -in(E,complements_of_subsets(the_carrier(A),B))|subset_complement(the_carrier(A),$f12(A,B,D,E))!=D.
% 2.11/2.30 ** KEPT (pick-wt=29): 86 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f9(A,B)!=$f8(A,B)| -in(C,$f13(A,B))|in($f11(A,B,C),complements_of_subsets(the_carrier(A),B)).
% 2.11/2.30 ** KEPT (pick-wt=37): 87 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f9(A,B)!=$f8(A,B)| -in(C,$f13(A,B))| -element(D,powerset(the_carrier(A)))|D!=$f11(A,B,C)|C=subset_complement(the_carrier(A),D).
% 2.11/2.30 ** KEPT (pick-wt=35): 88 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f9(A,B)!=$f8(A,B)|in(C,$f13(A,B))| -in(D,complements_of_subsets(the_carrier(A),B))|element($f12(A,B,C,D),powerset(the_carrier(A))).
% 2.11/2.30 ** KEPT (pick-wt=33): 89 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f9(A,B)!=$f8(A,B)|in(C,$f13(A,B))| -in(D,complements_of_subsets(the_carrier(A),B))|$f12(A,B,C,D)=D.
% 2.11/2.30 ** KEPT (pick-wt=36): 91 [copy,90,flip.6] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|$f9(A,B)!=$f8(A,B)|in(C,$f13(A,B))| -in(D,complements_of_subsets(the_carrier(A),B))|subset_complement(the_carrier(A),$f12(A,B,C,D))!=C.
% 2.11/2.30 ** KEPT (pick-wt=22): 92 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -in(C,$f17(A,B,D))|in(C,cartesian_product2(complements_of_subsets(the_carrier(A),B),D)).
% 2.11/2.30 ** KEPT (pick-wt=27): 93 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -in(C,$f17(A,B,D))|ordered_pair($f15(A,B,D,C),$f14(A,B,D,C))=C.
% 2.11/2.30 ** KEPT (pick-wt=24): 94 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -in(C,$f17(A,B,D))|in($f15(A,B,D,C),complements_of_subsets(the_carrier(A),B)).
% 2.11/2.30 ** KEPT (pick-wt=36): 95 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -in(C,$f17(A,B,D))| -element(E,powerset(the_carrier(A)))|E!=$f15(A,B,D,C)|$f14(A,B,D,C)=subset_complement(the_carrier(A),E).
% 2.11/2.30 ** KEPT (pick-wt=44): 96 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(C,$f17(A,B,D))| -in(C,cartesian_product2(complements_of_subsets(the_carrier(A),B),D))|ordered_pair(E,F)!=C| -in(E,complements_of_subsets(the_carrier(A),B))|element($f16(A,B,D,C,E,F),powerset(the_carrier(A))).
% 2.11/2.30 ** KEPT (pick-wt=42): 97 [] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(C,$f17(A,B,D))| -in(C,cartesian_product2(complements_of_subsets(the_carrier(A),B),D))|ordered_pair(E,F)!=C| -in(E,complements_of_subsets(the_carrier(A),B))|$f16(A,B,D,C,E,F)=E.
% 2.11/2.30 ** KEPT (pick-wt=45): 99 [copy,98,flip.7] -one_sorted_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(C,$f17(A,B,D))| -in(C,cartesian_product2(complements_of_subsets(the_carrier(A),B),D))|ordered_pair(E,F)!=C| -in(E,complements_of_subsets(the_carrier(A),B))|subset_complement(the_carrier(A),$f16(A,B,D,C,E,F))!=F.
% 2.11/2.30 ** KEPT (pick-wt=4): 100 [] -empty(A)|function(A).
% 2.11/2.30 ** KEPT (pick-wt=4): 101 [] -empty(A)|relation(A).
% 2.11/2.30 ** KEPT (pick-wt=15): 102 [] -function(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(B,D),A)|C=D.
% 2.11/2.30 ** KEPT (pick-wt=7): 103 [] function(A)|$f19(A)!=$f18(A).
% 2.11/2.30 ** KEPT (pick-wt=14): 105 [copy,104,flip.3] -relation(A)| -in(B,A)|ordered_pair($f22(A,B),$f21(A,B))=B.
% 2.11/2.30 ** KEPT (pick-wt=8): 106 [] relation(A)|$f23(A)!=ordered_pair(B,C).
% 2.11/2.30 ** KEPT (pick-wt=4): 107 [] -empty(ordered_pair(A,B)).
% 2.11/2.30 ** KEPT (pick-wt=3): 108 [] -empty(singleton(A)).
% 2.11/2.30 ** KEPT (pick-wt=4): 109 [] -empty(unordered_pair(A,B)).
% 2.11/2.30 ** KEPT (pick-wt=8): 110 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.11/2.30 ** KEPT (pick-wt=2): 111 [] -empty($c7).
% 2.11/2.30 ** KEPT (pick-wt=2): 112 [] -empty($c8).
% 2.11/2.30 ** KEPT (pick-wt=10): 113 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 2.11/2.30 ** KEPT (pick-wt=10): 114 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 2.11/2.30 ** KEPT (pick-wt=13): 115 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 2.11/2.30 ** KEPT (pick-wt=6): 116 [] -in(A,B)|element(A,B).
% 2.11/2.30 ** KEPT (pick-wt=8): 117 [] -element(A,B)|empty(B)|in(A,B).
% 13.59/13.76 ** KEPT (pick-wt=10): 118 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 13.59/13.76 ** KEPT (pick-wt=10): 119 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 13.59/13.76 ** KEPT (pick-wt=5): 120 [] -empty(A)|A=empty_set.
% 13.59/13.76 ** KEPT (pick-wt=5): 121 [] -in(A,B)| -empty(B).
% 13.59/13.76 ** KEPT (pick-wt=7): 122 [] -empty(A)|A=B| -empty(B).
% 13.59/13.76
% 13.59/13.76 ------------> process sos:
% 13.59/13.76 ** KEPT (pick-wt=3): 134 [] A=A.
% 13.59/13.76 ** KEPT (pick-wt=2): 135 [] one_sorted_str($c2).
% 13.59/13.76 ** KEPT (pick-wt=6): 136 [] element($c1,powerset(powerset(the_carrier($c2)))).
% 13.59/13.76 ** KEPT (pick-wt=2): 137 [] v1_membered($c3).
% 13.59/13.76 ** KEPT (pick-wt=2): 138 [] v2_membered($c3).
% 13.59/13.76 ** KEPT (pick-wt=2): 139 [] v3_membered($c3).
% 13.59/13.76 ** KEPT (pick-wt=2): 140 [] v4_membered($c3).
% 13.59/13.76 ** KEPT (pick-wt=2): 141 [] v5_membered($c3).
% 13.59/13.76 ** KEPT (pick-wt=7): 142 [] empty(A)|element($f6(A),powerset(A)).
% 13.59/13.76 ** KEPT (pick-wt=5): 143 [] element($f7(A),powerset(A)).
% 13.59/13.76 ** KEPT (pick-wt=3): 144 [] empty($f7(A)).
% 13.59/13.76 ** KEPT (pick-wt=7): 145 [] unordered_pair(A,B)=unordered_pair(B,A).
% 13.59/13.76 ** KEPT (pick-wt=9): 146 [] function(A)|in(ordered_pair($f20(A),$f19(A)),A).
% 13.59/13.76 ** KEPT (pick-wt=9): 147 [] function(A)|in(ordered_pair($f20(A),$f18(A)),A).
% 13.59/13.76 ** KEPT (pick-wt=6): 148 [] relation(A)|in($f23(A),A).
% 13.59/13.76 ** KEPT (pick-wt=10): 150 [copy,149,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 13.59/13.76 ---> New Demodulator: 151 [new_demod,150] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 13.59/13.76 ** KEPT (pick-wt=4): 152 [] element($f24(A),A).
% 13.59/13.76 ** KEPT (pick-wt=2): 153 [] empty(empty_set).
% 13.59/13.76 ** KEPT (pick-wt=2): 154 [] relation(empty_set).
% 13.59/13.76 ** KEPT (pick-wt=2): 155 [] relation_empty_yielding(empty_set).
% 13.59/13.76 Following clause subsumed by 153 during input processing: 0 [] empty(empty_set).
% 13.59/13.76 Following clause subsumed by 153 during input processing: 0 [] empty(empty_set).
% 13.59/13.76 Following clause subsumed by 154 during input processing: 0 [] relation(empty_set).
% 13.59/13.76 ** KEPT (pick-wt=2): 156 [] relation($c4).
% 13.59/13.76 ** KEPT (pick-wt=2): 157 [] function($c4).
% 13.59/13.76 ** KEPT (pick-wt=2): 158 [] empty($c5).
% 13.59/13.76 ** KEPT (pick-wt=2): 159 [] relation($c5).
% 13.59/13.76 ** KEPT (pick-wt=2): 160 [] empty($c6).
% 13.59/13.76 ** KEPT (pick-wt=2): 161 [] relation($c7).
% 13.59/13.76 ** KEPT (pick-wt=2): 162 [] relation($c9).
% 13.59/13.76 ** KEPT (pick-wt=2): 163 [] relation_empty_yielding($c9).
% 13.59/13.76 Following clause subsumed by 134 during input processing: 0 [copy,134,flip.1] A=A.
% 13.59/13.76 134 back subsumes 133.
% 13.59/13.76 134 back subsumes 130.
% 13.59/13.76 Following clause subsumed by 145 during input processing: 0 [copy,145,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 13.59/13.76 >>>> Starting back demodulation with 151.
% 13.59/13.76
% 13.59/13.76 ======= end of input processing =======
% 13.59/13.76
% 13.59/13.76 =========== start of search ===========
% 13.59/13.76
% 13.59/13.76
% 13.59/13.76 Resetting weight limit to 9.
% 13.59/13.76
% 13.59/13.76
% 13.59/13.76 Resetting weight limit to 9.
% 13.59/13.76
% 13.59/13.76 sos_size=646
% 13.59/13.76
% 13.59/13.76
% 13.59/13.76 Resetting weight limit to 7.
% 13.59/13.76
% 13.59/13.76
% 13.59/13.76 Resetting weight limit to 7.
% 13.59/13.76
% 13.59/13.76 sos_size=666
% 13.59/13.76
% 13.59/13.76
% 13.59/13.76 Resetting weight limit to 6.
% 13.59/13.76
% 13.59/13.76
% 13.59/13.76 Resetting weight limit to 6.
% 13.59/13.76
% 13.59/13.76 sos_size=693
% 13.59/13.76
% 13.59/13.76 Search stopped because sos empty.
% 13.59/13.76
% 13.59/13.76
% 13.59/13.76 Search stopped because sos empty.
% 13.59/13.76
% 13.59/13.76 ============ end of search ============
% 13.59/13.76
% 13.59/13.76 -------------- statistics -------------
% 13.59/13.76 clauses given 900
% 13.59/13.76 clauses generated 305088
% 13.59/13.76 clauses kept 1138
% 13.59/13.76 clauses forward subsumed 1583
% 13.59/13.76 clauses back subsumed 7
% 13.59/13.76 Kbytes malloced 7812
% 13.59/13.76
% 13.59/13.76 ----------- times (seconds) -----------
% 13.59/13.76 user CPU time 11.46 (0 hr, 0 min, 11 sec)
% 13.59/13.76 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 13.59/13.76 wall-clock time 13 (0 hr, 0 min, 13 sec)
% 13.59/13.76
% 13.59/13.76 Process 24497 finished Wed Jul 27 07:30:52 2022
% 13.59/13.76 Otter interrupted
% 13.59/13.76 PROOF NOT FOUND
%------------------------------------------------------------------------------