TSTP Solution File: SEU281+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU281+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n024.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 13:15:27 EDT 2022
% Result : Timeout 299.89s 300.06s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU281+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 07:38:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.85/2.03 ----- Otter 3.3f, August 2004 -----
% 1.85/2.03 The process was started by sandbox2 on n024.cluster.edu,
% 1.85/2.03 Wed Jul 27 07:38:40 2022
% 1.85/2.03 The command was "./otter". The process ID is 14794.
% 1.85/2.03
% 1.85/2.03 set(prolog_style_variables).
% 1.85/2.03 set(auto).
% 1.85/2.03 dependent: set(auto1).
% 1.85/2.03 dependent: set(process_input).
% 1.85/2.03 dependent: clear(print_kept).
% 1.85/2.03 dependent: clear(print_new_demod).
% 1.85/2.03 dependent: clear(print_back_demod).
% 1.85/2.03 dependent: clear(print_back_sub).
% 1.85/2.03 dependent: set(control_memory).
% 1.85/2.03 dependent: assign(max_mem, 12000).
% 1.85/2.03 dependent: assign(pick_given_ratio, 4).
% 1.85/2.03 dependent: assign(stats_level, 1).
% 1.85/2.03 dependent: assign(max_seconds, 10800).
% 1.85/2.03 clear(print_given).
% 1.85/2.03
% 1.85/2.03 formula_list(usable).
% 1.85/2.03 all A (A=A).
% 1.85/2.03 -(all A B exists C all D (in(D,C)<->in(D,cartesian_product2(A,B))& (exists E F (ordered_pair(E,F)=D&in(E,A)&F=singleton(E))))).
% 1.85/2.03 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 1.85/2.03 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 1.85/2.03 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.85/2.03 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.85/2.03 all A (empty(A)->function(A)).
% 1.85/2.03 all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.85/2.03 exists A empty(A).
% 1.85/2.03 exists A (-empty(A)).
% 1.85/2.03 all A B (in(A,B)-> -in(B,A)).
% 1.85/2.03 $T.
% 1.85/2.03 $T.
% 1.85/2.03 $T.
% 1.85/2.03 all A B (-empty(ordered_pair(A,B))).
% 1.85/2.03 all A B ((all C D E (C=D& (exists F G (ordered_pair(F,G)=D&in(F,A)&G=singleton(F)))&C=E& (exists H I (ordered_pair(H,I)=E&in(H,A)&I=singleton(H)))->D=E))-> (exists C all D (in(D,C)<-> (exists E (in(E,cartesian_product2(A,B))&E=D& (exists J K (ordered_pair(J,K)=D&in(J,A)&K=singleton(J)))))))).
% 1.85/2.03 end_of_list.
% 1.85/2.03
% 1.85/2.03 -------> usable clausifies to:
% 1.85/2.03
% 1.85/2.03 list(usable).
% 1.85/2.03 0 [] A=A.
% 1.85/2.03 0 [] in($f3(C),C)|in($f3(C),cartesian_product2($c2,$c1)).
% 1.85/2.03 0 [] in($f3(C),C)|ordered_pair($f2(C),$f1(C))=$f3(C).
% 1.85/2.03 0 [] in($f3(C),C)|in($f2(C),$c2).
% 1.85/2.03 0 [] in($f3(C),C)|$f1(C)=singleton($f2(C)).
% 1.85/2.03 0 [] -in($f3(C),C)| -in($f3(C),cartesian_product2($c2,$c1))|ordered_pair(E,F)!=$f3(C)| -in(E,$c2)|F!=singleton(E).
% 1.85/2.03 0 [] -ordinal(A)|epsilon_transitive(A).
% 1.85/2.03 0 [] -ordinal(A)|epsilon_connected(A).
% 1.85/2.03 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 1.85/2.03 0 [] epsilon_transitive($c3).
% 1.85/2.03 0 [] epsilon_connected($c3).
% 1.85/2.03 0 [] ordinal($c3).
% 1.85/2.03 0 [] -empty($c4).
% 1.85/2.03 0 [] epsilon_transitive($c4).
% 1.85/2.03 0 [] epsilon_connected($c4).
% 1.85/2.03 0 [] ordinal($c4).
% 1.85/2.03 0 [] -empty(A)|function(A).
% 1.85/2.03 0 [] -empty(A)|epsilon_transitive(A).
% 1.85/2.03 0 [] -empty(A)|epsilon_connected(A).
% 1.85/2.03 0 [] -empty(A)|ordinal(A).
% 1.85/2.03 0 [] empty($c5).
% 1.85/2.03 0 [] -empty($c6).
% 1.85/2.03 0 [] -in(A,B)| -in(B,A).
% 1.85/2.03 0 [] $T.
% 1.85/2.03 0 [] $T.
% 1.85/2.03 0 [] $T.
% 1.85/2.03 0 [] -empty(ordered_pair(A,B)).
% 1.85/2.03 0 [] $f10(A,B)=$f9(A,B)| -in(D,$f14(A,B))|in($f13(A,B,D),cartesian_product2(A,B)).
% 1.85/2.03 0 [] $f10(A,B)=$f9(A,B)| -in(D,$f14(A,B))|$f13(A,B,D)=D.
% 1.85/2.03 0 [] $f10(A,B)=$f9(A,B)| -in(D,$f14(A,B))|ordered_pair($f12(A,B,D),$f11(A,B,D))=D.
% 1.85/2.03 0 [] $f10(A,B)=$f9(A,B)| -in(D,$f14(A,B))|in($f12(A,B,D),A).
% 1.85/2.03 0 [] $f10(A,B)=$f9(A,B)| -in(D,$f14(A,B))|$f11(A,B,D)=singleton($f12(A,B,D)).
% 1.85/2.03 0 [] $f10(A,B)=$f9(A,B)|in(D,$f14(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 1.85/2.03 0 [] ordered_pair($f5(A,B),$f4(A,B))=$f9(A,B)| -in(D,$f14(A,B))|in($f13(A,B,D),cartesian_product2(A,B)).
% 1.85/2.03 0 [] ordered_pair($f5(A,B),$f4(A,B))=$f9(A,B)| -in(D,$f14(A,B))|$f13(A,B,D)=D.
% 1.85/2.03 0 [] ordered_pair($f5(A,B),$f4(A,B))=$f9(A,B)| -in(D,$f14(A,B))|ordered_pair($f12(A,B,D),$f11(A,B,D))=D.
% 1.85/2.03 0 [] ordered_pair($f5(A,B),$f4(A,B))=$f9(A,B)| -in(D,$f14(A,B))|in($f12(A,B,D),A).
% 1.85/2.03 0 [] ordered_pair($f5(A,B),$f4(A,B))=$f9(A,B)| -in(D,$f14(A,B))|$f11(A,B,D)=singleton($f12(A,B,D)).
% 1.85/2.03 0 [] ordered_pair($f5(A,B),$f4(A,B))=$f9(A,B)|in(D,$f14(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 1.85/2.03 0 [] in($f5(A,B),A)| -in(D,$f14(A,B))|in($f13(A,B,D),cartesian_product2(A,B)).
% 1.85/2.03 0 [] in($f5(A,B),A)| -in(D,$f14(A,B))|$f13(A,B,D)=D.
% 1.85/2.03 0 [] in($f5(A,B),A)| -in(D,$f14(A,B))|ordered_pair($f12(A,B,D),$f11(A,B,D))=D.
% 1.85/2.03 0 [] in($f5(A,B),A)| -in(D,$f14(A,B))|in($f12(A,B,D),A).
% 1.85/2.03 0 [] in($f5(A,B),A)| -in(D,$f14(A,B))|$f11(A,B,D)=singleton($f12(A,B,D)).
% 1.85/2.03 0 [] in($f5(A,B),A)|in(D,$f14(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 1.85/2.04 0 [] $f4(A,B)=singleton($f5(A,B))| -in(D,$f14(A,B))|in($f13(A,B,D),cartesian_product2(A,B)).
% 1.85/2.04 0 [] $f4(A,B)=singleton($f5(A,B))| -in(D,$f14(A,B))|$f13(A,B,D)=D.
% 1.85/2.04 0 [] $f4(A,B)=singleton($f5(A,B))| -in(D,$f14(A,B))|ordered_pair($f12(A,B,D),$f11(A,B,D))=D.
% 1.85/2.04 0 [] $f4(A,B)=singleton($f5(A,B))| -in(D,$f14(A,B))|in($f12(A,B,D),A).
% 1.85/2.04 0 [] $f4(A,B)=singleton($f5(A,B))| -in(D,$f14(A,B))|$f11(A,B,D)=singleton($f12(A,B,D)).
% 1.85/2.04 0 [] $f4(A,B)=singleton($f5(A,B))|in(D,$f14(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 1.85/2.04 0 [] $f10(A,B)=$f8(A,B)| -in(D,$f14(A,B))|in($f13(A,B,D),cartesian_product2(A,B)).
% 1.85/2.04 0 [] $f10(A,B)=$f8(A,B)| -in(D,$f14(A,B))|$f13(A,B,D)=D.
% 1.85/2.04 0 [] $f10(A,B)=$f8(A,B)| -in(D,$f14(A,B))|ordered_pair($f12(A,B,D),$f11(A,B,D))=D.
% 1.85/2.04 0 [] $f10(A,B)=$f8(A,B)| -in(D,$f14(A,B))|in($f12(A,B,D),A).
% 1.85/2.04 0 [] $f10(A,B)=$f8(A,B)| -in(D,$f14(A,B))|$f11(A,B,D)=singleton($f12(A,B,D)).
% 1.85/2.04 0 [] $f10(A,B)=$f8(A,B)|in(D,$f14(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 1.85/2.04 0 [] ordered_pair($f7(A,B),$f6(A,B))=$f8(A,B)| -in(D,$f14(A,B))|in($f13(A,B,D),cartesian_product2(A,B)).
% 1.85/2.04 0 [] ordered_pair($f7(A,B),$f6(A,B))=$f8(A,B)| -in(D,$f14(A,B))|$f13(A,B,D)=D.
% 1.85/2.04 0 [] ordered_pair($f7(A,B),$f6(A,B))=$f8(A,B)| -in(D,$f14(A,B))|ordered_pair($f12(A,B,D),$f11(A,B,D))=D.
% 1.85/2.04 0 [] ordered_pair($f7(A,B),$f6(A,B))=$f8(A,B)| -in(D,$f14(A,B))|in($f12(A,B,D),A).
% 1.85/2.04 0 [] ordered_pair($f7(A,B),$f6(A,B))=$f8(A,B)| -in(D,$f14(A,B))|$f11(A,B,D)=singleton($f12(A,B,D)).
% 1.85/2.04 0 [] ordered_pair($f7(A,B),$f6(A,B))=$f8(A,B)|in(D,$f14(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 1.85/2.04 0 [] in($f7(A,B),A)| -in(D,$f14(A,B))|in($f13(A,B,D),cartesian_product2(A,B)).
% 1.85/2.04 0 [] in($f7(A,B),A)| -in(D,$f14(A,B))|$f13(A,B,D)=D.
% 1.85/2.04 0 [] in($f7(A,B),A)| -in(D,$f14(A,B))|ordered_pair($f12(A,B,D),$f11(A,B,D))=D.
% 1.85/2.04 0 [] in($f7(A,B),A)| -in(D,$f14(A,B))|in($f12(A,B,D),A).
% 1.85/2.04 0 [] in($f7(A,B),A)| -in(D,$f14(A,B))|$f11(A,B,D)=singleton($f12(A,B,D)).
% 1.85/2.04 0 [] in($f7(A,B),A)|in(D,$f14(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 1.85/2.04 0 [] $f6(A,B)=singleton($f7(A,B))| -in(D,$f14(A,B))|in($f13(A,B,D),cartesian_product2(A,B)).
% 1.85/2.04 0 [] $f6(A,B)=singleton($f7(A,B))| -in(D,$f14(A,B))|$f13(A,B,D)=D.
% 1.85/2.04 0 [] $f6(A,B)=singleton($f7(A,B))| -in(D,$f14(A,B))|ordered_pair($f12(A,B,D),$f11(A,B,D))=D.
% 1.85/2.04 0 [] $f6(A,B)=singleton($f7(A,B))| -in(D,$f14(A,B))|in($f12(A,B,D),A).
% 1.85/2.04 0 [] $f6(A,B)=singleton($f7(A,B))| -in(D,$f14(A,B))|$f11(A,B,D)=singleton($f12(A,B,D)).
% 1.85/2.04 0 [] $f6(A,B)=singleton($f7(A,B))|in(D,$f14(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 1.85/2.04 0 [] $f9(A,B)!=$f8(A,B)| -in(D,$f14(A,B))|in($f13(A,B,D),cartesian_product2(A,B)).
% 1.85/2.04 0 [] $f9(A,B)!=$f8(A,B)| -in(D,$f14(A,B))|$f13(A,B,D)=D.
% 1.85/2.04 0 [] $f9(A,B)!=$f8(A,B)| -in(D,$f14(A,B))|ordered_pair($f12(A,B,D),$f11(A,B,D))=D.
% 1.85/2.04 0 [] $f9(A,B)!=$f8(A,B)| -in(D,$f14(A,B))|in($f12(A,B,D),A).
% 1.85/2.04 0 [] $f9(A,B)!=$f8(A,B)| -in(D,$f14(A,B))|$f11(A,B,D)=singleton($f12(A,B,D)).
% 1.85/2.04 0 [] $f9(A,B)!=$f8(A,B)|in(D,$f14(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 1.85/2.04 end_of_list.
% 1.85/2.04
% 1.85/2.04 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.85/2.04
% 1.85/2.04 This ia a non-Horn set with equality. The strategy will be
% 1.85/2.04 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.85/2.04 deletion, with positive clauses in sos and nonpositive
% 1.85/2.04 clauses in usable.
% 1.85/2.04
% 1.85/2.04 dependent: set(knuth_bendix).
% 1.85/2.04 dependent: set(anl_eq).
% 1.85/2.04 dependent: set(para_from).
% 1.85/2.04 dependent: set(para_into).
% 1.85/2.04 dependent: clear(para_from_right).
% 1.85/2.04 dependent: clear(para_into_right).
% 1.85/2.04 dependent: set(para_from_vars).
% 1.85/2.04 dependent: set(eq_units_both_ways).
% 1.85/2.04 dependent: set(dynamic_demod_all).
% 1.85/2.04 dependent: set(dynamic_demod).
% 1.85/2.04 dependent: set(order_eq).
% 1.85/2.04 dependent: set(back_demod).
% 1.85/2.04 dependent: set(lrpo).
% 1.85/2.04 dependent: set(hyper_res).
% 1.85/2.04 dependent: set(unit_deletion).
% 1.85/2.04 dependent: set(factor).
% 1.85/2.04
% 1.85/2.04 ------------> process usable:
% 1.85/2.04 ** KEPT (pick-wt=23): 1 [] -in($f3(A),A)| -in($f3(A),cartesian_product2($c2,$c1))|ordered_pair(B,C)!=$f3(A)| -in(B,$c2)|C!=singleton(B).
% 1.85/2.04 ** KEPT (pick-wt=4): 2 [] -ordinal(A)|epsilon_transitive(A).
% 1.85/2.04 ** KEPT (pick-wt=4): 3 [] -ordinal(A)|epsilon_connected(A).
% 1.85/2.04 ** KEPT (pick-wt=6): 4 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 1.85/2.04 ** KEPT (pick-wt=2): 5 [] -empty($c4).
% 1.85/2.04 ** KEPT (pick-wt=4): 6 [] -empty(A)|function(A).
% 1.85/2.04 ** KEPT (pick-wt=4): 7 [] -empty(A)|epsilon_transitive(A).
% 1.85/2.04 ** KEPT (pick-wt=4): 8 [] -empty(A)|epsilon_connected(A).
% 1.85/2.04 ** KEPT (pick-wt=4): 9 [] -empty(A)|ordinal(A).
% 1.85/2.04 ** KEPT (pick-wt=2): 10 [] -empty($c6).
% 1.85/2.04 ** KEPT (pick-wt=6): 11 [] -in(A,B)| -in(B,A).
% 1.85/2.04 ** KEPT (pick-wt=4): 12 [] -empty(ordered_pair(A,B)).
% 1.85/2.04 ** KEPT (pick-wt=20): 14 [copy,13,flip.1] $f9(A,B)=$f10(A,B)| -in(C,$f14(A,B))|in($f13(A,B,C),cartesian_product2(A,B)).
% 1.85/2.04 ** KEPT (pick-wt=18): 16 [copy,15,flip.1] $f9(A,B)=$f10(A,B)| -in(C,$f14(A,B))|$f13(A,B,C)=C.
% 1.85/2.04 ** KEPT (pick-wt=23): 18 [copy,17,flip.1] $f9(A,B)=$f10(A,B)| -in(C,$f14(A,B))|ordered_pair($f12(A,B,C),$f11(A,B,C))=C.
% 1.85/2.04 ** KEPT (pick-wt=18): 20 [copy,19,flip.1] $f9(A,B)=$f10(A,B)| -in(C,$f14(A,B))|in($f12(A,B,C),A).
% 1.85/2.04 ** KEPT (pick-wt=22): 22 [copy,21,flip.1,flip.3] $f9(A,B)=$f10(A,B)| -in(C,$f14(A,B))|singleton($f12(A,B,C))=$f11(A,B,C).
% 1.85/2.04 ** KEPT (pick-wt=32): 24 [copy,23,flip.1] $f9(A,B)=$f10(A,B)|in(C,$f14(A,B))| -in(D,cartesian_product2(A,B))|D!=C|ordered_pair(E,F)!=C| -in(E,A)|F!=singleton(E).
% 1.85/2.04 ** KEPT (pick-wt=24): 25 [] ordered_pair($f5(A,B),$f4(A,B))=$f9(A,B)| -in(C,$f14(A,B))|in($f13(A,B,C),cartesian_product2(A,B)).
% 1.85/2.04 ** KEPT (pick-wt=22): 26 [] ordered_pair($f5(A,B),$f4(A,B))=$f9(A,B)| -in(C,$f14(A,B))|$f13(A,B,C)=C.
% 1.85/2.04 ** KEPT (pick-wt=27): 27 [] ordered_pair($f5(A,B),$f4(A,B))=$f9(A,B)| -in(C,$f14(A,B))|ordered_pair($f12(A,B,C),$f11(A,B,C))=C.
% 1.85/2.04 ** KEPT (pick-wt=22): 28 [] ordered_pair($f5(A,B),$f4(A,B))=$f9(A,B)| -in(C,$f14(A,B))|in($f12(A,B,C),A).
% 1.85/2.04 ** KEPT (pick-wt=26): 30 [copy,29,flip.3] ordered_pair($f5(A,B),$f4(A,B))=$f9(A,B)| -in(C,$f14(A,B))|singleton($f12(A,B,C))=$f11(A,B,C).
% 1.85/2.04 ** KEPT (pick-wt=36): 31 [] ordered_pair($f5(A,B),$f4(A,B))=$f9(A,B)|in(C,$f14(A,B))| -in(D,cartesian_product2(A,B))|D!=C|ordered_pair(E,F)!=C| -in(E,A)|F!=singleton(E).
% 1.85/2.04 ** KEPT (pick-wt=18): 32 [] in($f5(A,B),A)| -in(C,$f14(A,B))|in($f13(A,B,C),cartesian_product2(A,B)).
% 1.85/2.04 ** KEPT (pick-wt=16): 33 [] in($f5(A,B),A)| -in(C,$f14(A,B))|$f13(A,B,C)=C.
% 1.85/2.04 ** KEPT (pick-wt=21): 34 [] in($f5(A,B),A)| -in(C,$f14(A,B))|ordered_pair($f12(A,B,C),$f11(A,B,C))=C.
% 1.85/2.04 ** KEPT (pick-wt=16): 35 [] in($f5(A,B),A)| -in(C,$f14(A,B))|in($f12(A,B,C),A).
% 1.85/2.04 ** KEPT (pick-wt=20): 37 [copy,36,flip.3] in($f5(A,B),A)| -in(C,$f14(A,B))|singleton($f12(A,B,C))=$f11(A,B,C).
% 1.85/2.04 ** KEPT (pick-wt=30): 38 [] in($f5(A,B),A)|in(C,$f14(A,B))| -in(D,cartesian_product2(A,B))|D!=C|ordered_pair(E,F)!=C| -in(E,A)|F!=singleton(E).
% 1.85/2.04 ** KEPT (pick-wt=21): 40 [copy,39,flip.1] singleton($f5(A,B))=$f4(A,B)| -in(C,$f14(A,B))|in($f13(A,B,C),cartesian_product2(A,B)).
% 1.85/2.04 ** KEPT (pick-wt=19): 42 [copy,41,flip.1] singleton($f5(A,B))=$f4(A,B)| -in(C,$f14(A,B))|$f13(A,B,C)=C.
% 1.85/2.04 ** KEPT (pick-wt=24): 44 [copy,43,flip.1] singleton($f5(A,B))=$f4(A,B)| -in(C,$f14(A,B))|ordered_pair($f12(A,B,C),$f11(A,B,C))=C.
% 1.85/2.04 ** KEPT (pick-wt=19): 46 [copy,45,flip.1] singleton($f5(A,B))=$f4(A,B)| -in(C,$f14(A,B))|in($f12(A,B,C),A).
% 1.85/2.04 ** KEPT (pick-wt=23): 48 [copy,47,flip.1,flip.3] singleton($f5(A,B))=$f4(A,B)| -in(C,$f14(A,B))|singleton($f12(A,B,C))=$f11(A,B,C).
% 1.85/2.04 ** KEPT (pick-wt=33): 50 [copy,49,flip.1] singleton($f5(A,B))=$f4(A,B)|in(C,$f14(A,B))| -in(D,cartesian_product2(A,B))|D!=C|ordered_pair(E,F)!=C| -in(E,A)|F!=singleton(E).
% 1.85/2.04 ** KEPT (pick-wt=20): 52 [copy,51,flip.1] $f8(A,B)=$f10(A,B)| -in(C,$f14(A,B))|in($f13(A,B,C),cartesian_product2(A,B)).
% 1.85/2.04 ** KEPT (pick-wt=18): 54 [copy,53,flip.1] $f8(A,B)=$f10(A,B)| -in(C,$f14(A,B))|$f13(A,B,C)=C.
% 1.85/2.04 ** KEPT (pick-wt=23): 56 [copy,55,flip.1] $f8(A,B)=$f10(A,B)| -in(C,$f14(A,B))|ordered_pair($f12(A,B,C),$f11(A,B,C))=C.
% 1.85/2.04 ** KEPT (pick-wt=18): 58 [copy,57,flip.1] $f8(A,B)=$f10(A,B)| -in(C,$f14(A,B))|in($f12(A,B,C),A).
% 1.85/2.04 ** KEPT (pick-wt=22): 60 [copy,59,flip.1,flip.3] $f8(A,B)=$f10(A,B)| -in(C,$f14(A,B))|singleton($f12(A,B,C))=$f11(A,B,C).
% 1.85/2.04 ** KEPT (pick-wt=32): 62 [copy,61,flip.1] $f8(A,B)=$f10(A,Alarm clock
% 299.89/300.06 Otter interrupted
% 299.89/300.06 PROOF NOT FOUND
%------------------------------------------------------------------------------