TSTP Solution File: SET817+4 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SET817+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jul 27 13:14:18 EDT 2022

% Result   : Timeout 299.90s 300.07s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SET817+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 10:53:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.57/2.16  ----- Otter 3.3f, August 2004 -----
% 1.57/2.16  The process was started by sandbox2 on n025.cluster.edu,
% 1.57/2.16  Wed Jul 27 10:53:30 2022
% 1.57/2.16  The command was "./otter".  The process ID is 21202.
% 1.57/2.16  
% 1.57/2.16  set(prolog_style_variables).
% 1.57/2.16  set(auto).
% 1.57/2.16     dependent: set(auto1).
% 1.57/2.16     dependent: set(process_input).
% 1.57/2.16     dependent: clear(print_kept).
% 1.57/2.16     dependent: clear(print_new_demod).
% 1.57/2.16     dependent: clear(print_back_demod).
% 1.57/2.16     dependent: clear(print_back_sub).
% 1.57/2.16     dependent: set(control_memory).
% 1.57/2.16     dependent: assign(max_mem, 12000).
% 1.57/2.16     dependent: assign(pick_given_ratio, 4).
% 1.57/2.16     dependent: assign(stats_level, 1).
% 1.57/2.16     dependent: assign(max_seconds, 10800).
% 1.57/2.16  clear(print_given).
% 1.57/2.16  
% 1.57/2.16  formula_list(usable).
% 1.57/2.16  all A (A=A).
% 1.57/2.16  all A B (subset(A,B)<-> (all X (member(X,A)->member(X,B)))).
% 1.57/2.16  all A B (e_qual_set(A,B)<->subset(A,B)&subset(B,A)).
% 1.57/2.16  all X A (member(X,power_set(A))<->subset(X,A)).
% 1.57/2.16  all X A B (member(X,intersection(A,B))<->member(X,A)&member(X,B)).
% 1.57/2.16  all X A B (member(X,union(A,B))<->member(X,A)|member(X,B)).
% 1.57/2.16  all X (-member(X,empty_set)).
% 1.57/2.16  all B A E (member(B,difference(E,A))<->member(B,E)& -member(B,A)).
% 1.57/2.16  all X A (member(X,singleton(A))<->X=A).
% 1.57/2.16  all X A B (member(X,unordered_pair(A,B))<->X=A|X=B).
% 1.57/2.16  all X A (member(X,sum(A))<-> (exists Y (member(Y,A)&member(X,Y)))).
% 1.57/2.16  all X A (member(X,product(A))<-> (all Y (member(Y,A)->member(X,Y)))).
% 1.57/2.16  all A (member(A,on)<->set(A)&strict_well_order(member_predicate,A)& (all X (member(X,A)->subset(X,A)))).
% 1.57/2.16  all R E (strict_well_order(R,E)<->strict_order(R,E)& (all A (subset(A,E)& (exists X member(X,A))-> (exists Y least(Y,R,A))))).
% 1.57/2.16  all R E M (least(M,R,E)<->member(M,E)& (all X (member(X,E)->M=X|apply(R,M,X)))).
% 1.57/2.16  all X Y (apply(member_predicate,X,Y)<->member(X,Y)).
% 1.57/2.16  all R E (strict_order(R,E)<-> (all X Y (member(X,E)&member(Y,E)-> -(apply(R,X,Y)&apply(R,Y,X))))& (all X Y Z (member(X,E)&member(Y,E)&member(Z,E)-> (apply(R,X,Y)&apply(R,Y,Z)->apply(R,X,Z))))).
% 1.57/2.16  all X (set(X)-> (all Y (member(Y,X)->set(Y)))).
% 1.57/2.16  all X R A Y (member(Y,initial_segment(X,R,A))<->member(Y,A)&apply(R,Y,X)).
% 1.57/2.16  all A X (member(X,suc(A))<->member(X,union(A,singleton(A)))).
% 1.57/2.16  all A B C (subset(A,B)&subset(B,C)->subset(A,C)).
% 1.57/2.16  all X (set(X)->set(product(X))).
% 1.57/2.16  all A X (member(X,A)->subset(product(A),X)).
% 1.57/2.16  -(all A (subset(A,on)&set(A)& (exists X member(X,A))->member(product(A),on))).
% 1.57/2.16  end_of_list.
% 1.57/2.16  
% 1.57/2.16  -------> usable clausifies to:
% 1.57/2.16  
% 1.57/2.16  list(usable).
% 1.57/2.16  0 [] A=A.
% 1.57/2.16  0 [] -subset(A,B)| -member(X,A)|member(X,B).
% 1.57/2.16  0 [] subset(A,B)|member($f1(A,B),A).
% 1.57/2.16  0 [] subset(A,B)| -member($f1(A,B),B).
% 1.57/2.16  0 [] -e_qual_set(A,B)|subset(A,B).
% 1.57/2.16  0 [] -e_qual_set(A,B)|subset(B,A).
% 1.57/2.16  0 [] e_qual_set(A,B)| -subset(A,B)| -subset(B,A).
% 1.57/2.16  0 [] -member(X,power_set(A))|subset(X,A).
% 1.57/2.16  0 [] member(X,power_set(A))| -subset(X,A).
% 1.57/2.16  0 [] -member(X,intersection(A,B))|member(X,A).
% 1.57/2.16  0 [] -member(X,intersection(A,B))|member(X,B).
% 1.57/2.16  0 [] member(X,intersection(A,B))| -member(X,A)| -member(X,B).
% 1.57/2.16  0 [] -member(X,union(A,B))|member(X,A)|member(X,B).
% 1.57/2.16  0 [] member(X,union(A,B))| -member(X,A).
% 1.57/2.16  0 [] member(X,union(A,B))| -member(X,B).
% 1.57/2.16  0 [] -member(X,empty_set).
% 1.57/2.16  0 [] -member(B,difference(E,A))|member(B,E).
% 1.57/2.16  0 [] -member(B,difference(E,A))| -member(B,A).
% 1.57/2.16  0 [] member(B,difference(E,A))| -member(B,E)|member(B,A).
% 1.57/2.16  0 [] -member(X,singleton(A))|X=A.
% 1.57/2.16  0 [] member(X,singleton(A))|X!=A.
% 1.57/2.16  0 [] -member(X,unordered_pair(A,B))|X=A|X=B.
% 1.57/2.16  0 [] member(X,unordered_pair(A,B))|X!=A.
% 1.57/2.16  0 [] member(X,unordered_pair(A,B))|X!=B.
% 1.57/2.16  0 [] -member(X,sum(A))|member($f2(X,A),A).
% 1.57/2.16  0 [] -member(X,sum(A))|member(X,$f2(X,A)).
% 1.57/2.16  0 [] member(X,sum(A))| -member(Y,A)| -member(X,Y).
% 1.57/2.16  0 [] -member(X,product(A))| -member(Y,A)|member(X,Y).
% 1.57/2.16  0 [] member(X,product(A))|member($f3(X,A),A).
% 1.57/2.16  0 [] member(X,product(A))| -member(X,$f3(X,A)).
% 1.57/2.16  0 [] -member(A,on)|set(A).
% 1.57/2.16  0 [] -member(A,on)|strict_well_order(member_predicate,A).
% 1.57/2.16  0 [] -member(A,on)| -member(X,A)|subset(X,A).
% 1.57/2.16  0 [] member(A,on)| -set(A)| -strict_well_order(member_predicate,A)|member($f4(A),A).
% 1.57/2.16  0 [] member(A,on)| -set(A)| -strict_well_order(member_predicate,A)| -subset($f4(A),A).
% 1.57/2.16  0 [] -strict_well_order(R,E)|strict_order(R,E).
% 1.57/2.16  0 [] -strict_well_order(R,E)| -subset(A,E)| -member(X,A)|least($f5(R,E,A),R,A).
% 1.57/2.16  0 [] strict_well_order(R,E)| -strict_order(R,E)|subset($f7(R,E),E).
% 1.57/2.16  0 [] strict_well_order(R,E)| -strict_order(R,E)|member($f6(R,E),$f7(R,E)).
% 1.57/2.16  0 [] strict_well_order(R,E)| -strict_order(R,E)| -least(Y,R,$f7(R,E)).
% 1.57/2.16  0 [] -least(M,R,E)|member(M,E).
% 1.57/2.16  0 [] -least(M,R,E)| -member(X,E)|M=X|apply(R,M,X).
% 1.57/2.16  0 [] least(M,R,E)| -member(M,E)|member($f8(R,E,M),E).
% 1.57/2.16  0 [] least(M,R,E)| -member(M,E)|M!=$f8(R,E,M).
% 1.57/2.16  0 [] least(M,R,E)| -member(M,E)| -apply(R,M,$f8(R,E,M)).
% 1.57/2.16  0 [] -apply(member_predicate,X,Y)|member(X,Y).
% 1.57/2.16  0 [] apply(member_predicate,X,Y)| -member(X,Y).
% 1.57/2.16  0 [] -strict_order(R,E)| -member(X,E)| -member(Y,E)| -apply(R,X,Y)| -apply(R,Y,X).
% 1.57/2.16  0 [] -strict_order(R,E)| -member(X1,E)| -member(X2,E)| -member(Z,E)| -apply(R,X1,X2)| -apply(R,X2,Z)|apply(R,X1,Z).
% 1.57/2.16  0 [] strict_order(R,E)|member($f10(R,E),E)|member($f13(R,E),E).
% 1.57/2.16  0 [] strict_order(R,E)|member($f10(R,E),E)|member($f12(R,E),E).
% 1.57/2.16  0 [] strict_order(R,E)|member($f10(R,E),E)|member($f11(R,E),E).
% 1.57/2.16  0 [] strict_order(R,E)|member($f10(R,E),E)|apply(R,$f13(R,E),$f12(R,E)).
% 1.57/2.16  0 [] strict_order(R,E)|member($f10(R,E),E)|apply(R,$f12(R,E),$f11(R,E)).
% 1.57/2.16  0 [] strict_order(R,E)|member($f10(R,E),E)| -apply(R,$f13(R,E),$f11(R,E)).
% 1.57/2.17  0 [] strict_order(R,E)|member($f9(R,E),E)|member($f13(R,E),E).
% 1.57/2.17  0 [] strict_order(R,E)|member($f9(R,E),E)|member($f12(R,E),E).
% 1.57/2.17  0 [] strict_order(R,E)|member($f9(R,E),E)|member($f11(R,E),E).
% 1.57/2.17  0 [] strict_order(R,E)|member($f9(R,E),E)|apply(R,$f13(R,E),$f12(R,E)).
% 1.57/2.17  0 [] strict_order(R,E)|member($f9(R,E),E)|apply(R,$f12(R,E),$f11(R,E)).
% 1.57/2.17  0 [] strict_order(R,E)|member($f9(R,E),E)| -apply(R,$f13(R,E),$f11(R,E)).
% 1.57/2.17  0 [] strict_order(R,E)|apply(R,$f10(R,E),$f9(R,E))|member($f13(R,E),E).
% 1.57/2.17  0 [] strict_order(R,E)|apply(R,$f10(R,E),$f9(R,E))|member($f12(R,E),E).
% 1.57/2.17  0 [] strict_order(R,E)|apply(R,$f10(R,E),$f9(R,E))|member($f11(R,E),E).
% 1.57/2.17  0 [] strict_order(R,E)|apply(R,$f10(R,E),$f9(R,E))|apply(R,$f13(R,E),$f12(R,E)).
% 1.57/2.17  0 [] strict_order(R,E)|apply(R,$f10(R,E),$f9(R,E))|apply(R,$f12(R,E),$f11(R,E)).
% 1.57/2.17  0 [] strict_order(R,E)|apply(R,$f10(R,E),$f9(R,E))| -apply(R,$f13(R,E),$f11(R,E)).
% 1.57/2.17  0 [] strict_order(R,E)|apply(R,$f9(R,E),$f10(R,E))|member($f13(R,E),E).
% 1.57/2.17  0 [] strict_order(R,E)|apply(R,$f9(R,E),$f10(R,E))|member($f12(R,E),E).
% 1.57/2.17  0 [] strict_order(R,E)|apply(R,$f9(R,E),$f10(R,E))|member($f11(R,E),E).
% 1.57/2.17  0 [] strict_order(R,E)|apply(R,$f9(R,E),$f10(R,E))|apply(R,$f13(R,E),$f12(R,E)).
% 1.57/2.17  0 [] strict_order(R,E)|apply(R,$f9(R,E),$f10(R,E))|apply(R,$f12(R,E),$f11(R,E)).
% 1.57/2.17  0 [] strict_order(R,E)|apply(R,$f9(R,E),$f10(R,E))| -apply(R,$f13(R,E),$f11(R,E)).
% 1.57/2.17  0 [] -set(X)| -member(Y,X)|set(Y).
% 1.57/2.17  0 [] -member(Y,initial_segment(X,R,A))|member(Y,A).
% 1.57/2.17  0 [] -member(Y,initial_segment(X,R,A))|apply(R,Y,X).
% 1.57/2.17  0 [] member(Y,initial_segment(X,R,A))| -member(Y,A)| -apply(R,Y,X).
% 1.57/2.17  0 [] -member(X,suc(A))|member(X,union(A,singleton(A))).
% 1.57/2.17  0 [] member(X,suc(A))| -member(X,union(A,singleton(A))).
% 1.57/2.17  0 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 1.57/2.17  0 [] -set(X)|set(product(X)).
% 1.57/2.17  0 [] -member(X,A)|subset(product(A),X).
% 1.57/2.17  0 [] subset($c2,on).
% 1.57/2.17  0 [] set($c2).
% 1.57/2.17  0 [] member($c1,$c2).
% 1.57/2.17  0 [] -member(product($c2),on).
% 1.57/2.17  end_of_list.
% 1.57/2.17  
% 1.57/2.17  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.57/2.17  
% 1.57/2.17  This ia a non-Horn set with equality.  The strategy will be
% 1.57/2.17  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.57/2.17  deletion, with positive clauses in sos and nonpositive
% 1.57/2.17  clauses in usable.
% 1.57/2.17  
% 1.57/2.17     dependent: set(knuth_bendix).
% 1.57/2.17     dependent: set(anl_eq).
% 1.57/2.17     dependent: set(para_from).
% 1.57/2.17     dependent: set(para_into).
% 1.57/2.17     dependent: clear(para_from_right).
% 1.57/2.17     dependent: clear(para_into_right).
% 1.57/2.17     dependent: set(para_from_vars).
% 1.57/2.17     dependent: set(eq_units_both_ways).
% 1.57/2.17     dependent: set(dynamic_demod_all).
% 1.57/2.17     dependent: set(dynamic_demod).
% 1.57/2.17     dependent: set(order_eq).
% 1.57/2.17     dependent: set(back_demod).
% 1.57/2.17     dependent: set(lrpo).
% 1.57/2.17     dependent: set(hyper_res).
% 1.57/2.17     dependent: set(unit_deletion).
% 1.57/2.17     dependent: set(factor).
% 1.57/2.17  
% 1.57/2.17  ------------> process usable:
% 1.57/2.17  ** KEPT (pick-wt=9): 1 [] -subset(A,B)| -member(C,A)|member(C,B).
% 1.57/2.17  ** KEPT (pick-wt=8): 2 [] subset(A,B)| -member($f1(A,B),B).
% 1.57/2.17  ** KEPT (pick-wt=6): 3 [] -e_qual_set(A,B)|subset(A,B).
% 1.57/2.17  ** KEPT (pick-wt=6): 4 [] -e_qual_set(A,B)|subset(B,A).
% 1.57/2.17  ** KEPT (pick-wt=9): 5 [] e_qual_set(A,B)| -subset(A,B)| -subset(B,A).
% 1.57/2.17  ** KEPT (pick-wt=7): 6 [] -member(A,power_set(B))|subset(A,B).
% 1.57/2.17  ** KEPT (pick-wt=7): 7 [] member(A,power_set(B))| -subset(A,B).
% 1.57/2.17  ** KEPT (pick-wt=8): 8 [] -member(A,intersection(B,C))|member(A,B).
% 1.57/2.17  ** KEPT (pick-wt=8): 9 [] -member(A,intersection(B,C))|member(A,C).
% 1.57/2.17  ** KEPT (pick-wt=11): 10 [] member(A,intersection(B,C))| -member(A,B)| -member(A,C).
% 1.57/2.17  ** KEPT (pick-wt=11): 11 [] -member(A,union(B,C))|member(A,B)|member(A,C).
% 1.57/2.17  ** KEPT (pick-wt=8): 12 [] member(A,union(B,C))| -member(A,B).
% 1.57/2.17  ** KEPT (pick-wt=8): 13 [] member(A,union(B,C))| -member(A,C).
% 1.57/2.17  ** KEPT (pick-wt=3): 14 [] -member(A,empty_set).
% 1.57/2.17  ** KEPT (pick-wt=8): 15 [] -member(A,difference(B,C))|member(A,B).
% 1.57/2.17  ** KEPT (pick-wt=8): 16 [] -member(A,difference(B,C))| -member(A,C).
% 1.57/2.17  ** KEPT (pick-wt=11): 17 [] member(A,difference(B,C))| -member(A,B)|member(A,C).
% 1.57/2.17  ** KEPT (pick-wt=7): 18 [] -member(A,singleton(B))|A=B.
% 1.57/2.17  ** KEPT (pick-wt=7): 19 [] member(A,singleton(B))|A!=B.
% 1.57/2.17  ** KEPT (pick-wt=11): 20 [] -member(A,unordered_pair(B,C))|A=B|A=C.
% 1.57/2.17  ** KEPT (pick-wt=8): 21 [] member(A,unordered_pair(B,C))|A!=B.
% 1.57/2.17  ** KEPT (pick-wt=8): 22 [] member(A,unordered_pair(B,C))|A!=C.
% 1.57/2.17  ** KEPT (pick-wt=9): 23 [] -member(A,sum(B))|member($f2(A,B),B).
% 1.57/2.17  ** KEPT (pick-wt=9): 24 [] -member(A,sum(B))|member(A,$f2(A,B)).
% 1.57/2.17  ** KEPT (pick-wt=10): 25 [] member(A,sum(B))| -member(C,B)| -member(A,C).
% 1.57/2.17  ** KEPT (pick-wt=10): 26 [] -member(A,product(B))| -member(C,B)|member(A,C).
% 1.57/2.17  ** KEPT (pick-wt=9): 27 [] member(A,product(B))| -member(A,$f3(A,B)).
% 1.57/2.17  ** KEPT (pick-wt=5): 28 [] -member(A,on)|set(A).
% 1.57/2.17  ** KEPT (pick-wt=6): 29 [] -member(A,on)|strict_well_order(member_predicate,A).
% 1.57/2.17  ** KEPT (pick-wt=9): 30 [] -member(A,on)| -member(B,A)|subset(B,A).
% 1.57/2.17  ** KEPT (pick-wt=12): 31 [] member(A,on)| -set(A)| -strict_well_order(member_predicate,A)|member($f4(A),A).
% 1.57/2.17  ** KEPT (pick-wt=12): 32 [] member(A,on)| -set(A)| -strict_well_order(member_predicate,A)| -subset($f4(A),A).
% 1.57/2.17  ** KEPT (pick-wt=6): 33 [] -strict_well_order(A,B)|strict_order(A,B).
% 1.57/2.17  ** KEPT (pick-wt=16): 34 [] -strict_well_order(A,B)| -subset(C,B)| -member(D,C)|least($f5(A,B,C),A,C).
% 1.57/2.17  ** KEPT (pick-wt=11): 35 [] strict_well_order(A,B)| -strict_order(A,B)|subset($f7(A,B),B).
% 1.57/2.17  ** KEPT (pick-wt=13): 36 [] strict_well_order(A,B)| -strict_order(A,B)|member($f6(A,B),$f7(A,B)).
% 1.57/2.17  ** KEPT (pick-wt=12): 37 [] strict_well_order(A,B)| -strict_order(A,B)| -least(C,A,$f7(A,B)).
% 1.57/2.17  ** KEPT (pick-wt=7): 38 [] -least(A,B,C)|member(A,C).
% 1.57/2.17  ** KEPT (pick-wt=14): 39 [] -least(A,B,C)| -member(D,C)|A=D|apply(B,A,D).
% 1.57/2.17  ** KEPT (pick-wt=13): 40 [] least(A,B,C)| -member(A,C)|member($f8(B,C,A),C).
% 1.57/2.17  ** KEPT (pick-wt=13): 42 [copy,41,flip.3] least(A,B,C)| -member(A,C)|$f8(B,C,A)!=A.
% 1.57/2.17  ** KEPT (pick-wt=14): 43 [] least(A,B,C)| -member(A,C)| -apply(B,A,$f8(B,C,A)).
% 1.57/2.17  ** KEPT (pick-wt=7): 44 [] -apply(member_predicate,A,B)|member(A,B).
% 1.57/2.17  ** KEPT (pick-wt=7): 45 [] apply(member_predicate,A,B)| -member(A,B).
% 1.57/2.17  ** KEPT (pick-wt=17): 46 [] -strict_order(A,B)| -member(C,B)| -member(D,B)| -apply(A,C,D)| -apply(A,D,C).
% 1.57/2.17  ** KEPT (pick-wt=24): 47 [] -strict_order(A,B)| -member(C,B)| -member(D,B)| -member(E,B)| -apply(A,C,D)| -apply(A,D,E)|apply(A,C,E).
% 1.57/2.17  ** KEPT (pick-wt=16): 48 [] strict_order(A,B)|member($f10(A,B),B)| -apply(A,$f13(A,B),$f11(A,B)).
% 1.57/2.17  ** KEPT (pick-wt=16): 49 [] strict_order(A,B)|member($f9(A,B),B)| -apply(A,$f13(A,B),$f11(A,B)).
% 1.57/2.17  ** KEPT (pick-wt=19): 50 [] strict_order(A,B)|apply(A,$f10(A,B),$f9(A,B))| -apply(A,$f13(A,B),$f11(A,B)).
% 1.57/2.17  ** KEPT (pick-wt=19): 51 [] strict_order(A,B)|apply(A,$f9(A,B),$f10(A,B))| -apply(A,$f13(A,B),$f11(A,B)).
% 1.57/2.17  ** KEPT (pick-wt=7): 52 [] -set(A)| -member(B,A)|set(B).
% 1.57/2.17  ** KEPT (pick-wt=9): 53 [] -member(A,initial_segment(B,C,D))|member(A,D).
% 1.57/2.17  ** KEPT (pick-wt=10): 54 [] -member(A,initial_segment(B,C,D))|apply(C,A,B).
% 1.57/2.17  ** KEPT (pick-wt=13): 55 [] member(A,initial_segment(B,C,D))| -member(A,D)| -apply(C,A,B).
% 1.57/2.17  ** KEPT (pick-wt=10): 56 [] -member(A,suc(B))|member(A,union(B,singleton(B))).
% 1.57/2.17  ** KEPT (pick-wt=10): 57 [] member(A,suc(B))| -member(A,union(B,singleton(B))).
% 1.57/2.17  ** KEPT (pick-wt=9): 58 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 1.57/2.17  ** KEPT (pick-wt=5): 59 [] -set(A)|set(product(A)).
% 1.57/2.17  ** KEPT (pick-wt=7): 60 [] -member(A,B)|subset(product(B),A)Alarm clock 
% 299.90/300.07  Otter interrupted
% 299.90/300.07  PROOF NOT FOUND
%------------------------------------------------------------------------------