TSTP Solution File: SEU288+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU288+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.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 13:15:28 EDT 2022
% Result : Timeout 299.91s 300.04s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU288+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 08:04:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.30/2.48 ----- Otter 3.3f, August 2004 -----
% 2.30/2.48 The process was started by sandbox on n020.cluster.edu,
% 2.30/2.48 Wed Jul 27 08:04:08 2022
% 2.30/2.48 The command was "./otter". The process ID is 8456.
% 2.30/2.48
% 2.30/2.48 set(prolog_style_variables).
% 2.30/2.48 set(auto).
% 2.30/2.48 dependent: set(auto1).
% 2.30/2.48 dependent: set(process_input).
% 2.30/2.48 dependent: clear(print_kept).
% 2.30/2.48 dependent: clear(print_new_demod).
% 2.30/2.48 dependent: clear(print_back_demod).
% 2.30/2.48 dependent: clear(print_back_sub).
% 2.30/2.48 dependent: set(control_memory).
% 2.30/2.48 dependent: assign(max_mem, 12000).
% 2.30/2.48 dependent: assign(pick_given_ratio, 4).
% 2.30/2.48 dependent: assign(stats_level, 1).
% 2.30/2.48 dependent: assign(max_seconds, 10800).
% 2.30/2.48 clear(print_given).
% 2.30/2.48
% 2.30/2.48 formula_list(usable).
% 2.30/2.48 all A (A=A).
% 2.30/2.48 -(all A B (-empty(A)&relation(B)-> ((all C D E (in(C,A)& (exists F (C=F&in(D,F)& (all G (in(G,F)->in(ordered_pair(D,G),B)))))& (exists H (C=H&in(E,H)& (all I (in(I,H)->in(ordered_pair(E,I),B)))))->D=E))& (all C (-(in(C,A)& (all D (-(exists J (C=J&in(D,J)& (all K (in(K,J)->in(ordered_pair(D,K),B))))))))))-> (exists C (relation(C)&function(C)&relation_dom(C)=A& (all D (in(D,A)-> (exists L (D=L&in(apply(C,D),L)& (all M (in(M,L)->in(ordered_pair(apply(C,D),M),B)))))))))))).
% 2.30/2.48 exists A (relation(A)&function(A)&one_to_one(A)).
% 2.30/2.48 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 2.30/2.48 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 2.30/2.48 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.30/2.48 exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.30/2.48 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.30/2.48 all A B (in(A,B)-> -in(B,A)).
% 2.30/2.48 $T.
% 2.30/2.48 $T.
% 2.30/2.48 $T.
% 2.30/2.48 exists A (relation(A)&function(A)).
% 2.30/2.48 all A (empty(A)->function(A)).
% 2.30/2.48 exists A (relation(A)&empty(A)&function(A)).
% 2.30/2.48 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 2.30/2.48 all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.30/2.48 all A B (-empty(ordered_pair(A,B))).
% 2.30/2.48 exists A empty(A).
% 2.30/2.48 exists A (-empty(A)).
% 2.30/2.48 all A B (-empty(A)&relation(B)-> ((all C D E (in(C,A)& (exists F (C=F&in(D,F)& (all G (in(G,F)->in(ordered_pair(D,G),B)))))&in(C,A)& (exists H (C=H&in(E,H)& (all I (in(I,H)->in(ordered_pair(E,I),B)))))->D=E))-> (exists C (relation(C)&function(C)& (all D E (in(ordered_pair(D,E),C)<->in(D,A)&in(D,A)& (exists J (D=J&in(E,J)& (all K (in(K,J)->in(ordered_pair(E,K),B))))))))))).
% 2.30/2.48 all A (empty(A)->relation(A)).
% 2.30/2.48 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 2.30/2.48 all A (relation(A)&function(A)-> (all B C ((in(B,relation_dom(A))-> (C=apply(A,B)<->in(ordered_pair(B,C),A)))& (-in(B,relation_dom(A))-> (C=apply(A,B)<->C=empty_set))))).
% 2.30/2.48 all A (relation(A)-> (all B (B=relation_dom(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(C,D),A))))))).
% 2.30/2.48 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 2.30/2.48 $T.
% 2.30/2.48 $T.
% 2.30/2.48 $T.
% 2.30/2.48 $T.
% 2.30/2.48 all A exists B element(B,A).
% 2.30/2.48 empty(empty_set).
% 2.30/2.48 relation(empty_set).
% 2.30/2.48 relation_empty_yielding(empty_set).
% 2.30/2.48 empty(empty_set).
% 2.30/2.48 all A (-empty(singleton(A))).
% 2.30/2.48 all A B (-empty(unordered_pair(A,B))).
% 2.30/2.48 empty(empty_set).
% 2.30/2.48 relation(empty_set).
% 2.30/2.48 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 2.30/2.48 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 2.30/2.48 exists A (empty(A)&relation(A)).
% 2.30/2.48 exists A (-empty(A)&relation(A)).
% 2.30/2.48 exists A (relation(A)&relation_empty_yielding(A)).
% 2.30/2.48 all A B (in(A,B)->element(A,B)).
% 2.30/2.48 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.30/2.48 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 2.30/2.48 all A (empty(A)->A=empty_set).
% 2.30/2.48 all A B (-(in(A,B)&empty(B))).
% 2.30/2.48 all A B (-(empty(A)&A!=B&empty(B))).
% 2.30/2.48 end_of_list.
% 2.30/2.48
% 2.30/2.48 -------> usable clausifies to:
% 2.30/2.48
% 2.30/2.48 list(usable).
% 2.30/2.48 0 [] A=A.
% 2.30/2.48 0 [] -empty($c2).
% 2.30/2.48 0 [] relation($c1).
% 2.30/2.48 0 [] -in(C,$c2)|C!=F| -in(D,F)|in($f1(C,D,E,F),F)|C!=H| -in(E,H)|in($f2(C,D,E,H),H)|D=E.
% 2.30/2.48 0 [] -in(C,$c2)|C!=F| -in(D,F)|in($f1(C,D,E,F),F)|C!=H| -in(E,H)| -in(ordered_pair(E,$f2(C,D,E,H)),$c1)|D=E.
% 2.30/2.48 0 [] -in(C,$c2)|C!=F| -in(D,F)| -in(ordered_pair(D,$f1(C,D,E,F)),$c1)|C!=H| -in(E,H)|in($f2(C,D,E,H),H)|D=E.
% 2.30/2.48 0 [] -in(C,$c2)|C!=F| -in(D,F)| -in(ordered_pair(D,$f1(C,D,E,F)),$c1)|C!=H| -in(E,H)| -in(ordered_pair(E,$f2(C,D,E,H)),$c1)|D=E.
% 2.30/2.48 0 [] -in(X1,$c2)|X1=$f3(X1).
% 2.30/2.48 0 [] -in(X1,$c2)|in($f4(X1),$f3(X1)).
% 2.30/2.48 0 [] -in(X1,$c2)| -in(K,$f3(X1))|in(ordered_pair($f4(X1),K),$c1).
% 2.30/2.48 0 [] -relation(X2)| -function(X2)|relation_dom(X2)!=$c2|in($f6(X2),$c2).
% 2.30/2.48 0 [] -relation(X2)| -function(X2)|relation_dom(X2)!=$c2|$f6(X2)!=L| -in(apply(X2,$f6(X2)),L)|in($f5(X2,L),L).
% 2.30/2.48 0 [] -relation(X2)| -function(X2)|relation_dom(X2)!=$c2|$f6(X2)!=L| -in(apply(X2,$f6(X2)),L)| -in(ordered_pair(apply(X2,$f6(X2)),$f5(X2,L)),$c1).
% 2.30/2.48 0 [] relation($c3).
% 2.30/2.48 0 [] function($c3).
% 2.30/2.48 0 [] one_to_one($c3).
% 2.30/2.48 0 [] -ordinal(A)|epsilon_transitive(A).
% 2.30/2.48 0 [] -ordinal(A)|epsilon_connected(A).
% 2.30/2.48 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 2.30/2.48 0 [] epsilon_transitive($c4).
% 2.30/2.48 0 [] epsilon_connected($c4).
% 2.30/2.48 0 [] ordinal($c4).
% 2.30/2.48 0 [] relation($c5).
% 2.30/2.48 0 [] function($c5).
% 2.30/2.48 0 [] one_to_one($c5).
% 2.30/2.48 0 [] empty($c5).
% 2.30/2.48 0 [] epsilon_transitive($c5).
% 2.30/2.48 0 [] epsilon_connected($c5).
% 2.30/2.48 0 [] ordinal($c5).
% 2.30/2.48 0 [] -empty($c6).
% 2.30/2.48 0 [] epsilon_transitive($c6).
% 2.30/2.48 0 [] epsilon_connected($c6).
% 2.30/2.48 0 [] ordinal($c6).
% 2.30/2.48 0 [] -in(A,B)| -in(B,A).
% 2.30/2.48 0 [] $T.
% 2.30/2.48 0 [] $T.
% 2.30/2.48 0 [] $T.
% 2.30/2.48 0 [] relation($c7).
% 2.30/2.48 0 [] function($c7).
% 2.30/2.48 0 [] -empty(A)|function(A).
% 2.30/2.48 0 [] relation($c8).
% 2.30/2.48 0 [] empty($c8).
% 2.30/2.48 0 [] function($c8).
% 2.30/2.48 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.30/2.48 0 [] -empty(A)|epsilon_transitive(A).
% 2.30/2.48 0 [] -empty(A)|epsilon_connected(A).
% 2.30/2.48 0 [] -empty(A)|ordinal(A).
% 2.30/2.48 0 [] -empty(ordered_pair(A,B)).
% 2.30/2.48 0 [] empty($c9).
% 2.30/2.48 0 [] -empty($c10).
% 2.30/2.48 0 [] empty(A)| -relation(B)|in($f11(A,B),A)|relation($f14(A,B)).
% 2.30/2.48 0 [] empty(A)| -relation(B)|in($f11(A,B),A)|function($f14(A,B)).
% 2.30/2.48 0 [] empty(A)| -relation(B)|in($f11(A,B),A)| -in(ordered_pair(D,E),$f14(A,B))|in(D,A).
% 2.30/2.48 0 [] empty(A)| -relation(B)|in($f11(A,B),A)| -in(ordered_pair(D,E),$f14(A,B))|D=$f12(A,B,D,E).
% 2.30/2.48 0 [] empty(A)| -relation(B)|in($f11(A,B),A)| -in(ordered_pair(D,E),$f14(A,B))|in(E,$f12(A,B,D,E)).
% 2.30/2.48 0 [] empty(A)| -relation(B)|in($f11(A,B),A)| -in(ordered_pair(D,E),$f14(A,B))| -in(K,$f12(A,B,D,E))|in(ordered_pair(E,K),B).
% 2.30/2.48 0 [] empty(A)| -relation(B)|in($f11(A,B),A)|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=J| -in(E,J)|in($f13(A,B,D,E,J),J).
% 2.30/2.48 0 [] empty(A)| -relation(B)|in($f11(A,B),A)|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=J| -in(E,J)| -in(ordered_pair(E,$f13(A,B,D,E,J)),B).
% 2.30/2.48 0 [] empty(A)| -relation(B)|$f11(A,B)=$f7(A,B)|relation($f14(A,B)).
% 2.30/2.48 0 [] empty(A)| -relation(B)|$f11(A,B)=$f7(A,B)|function($f14(A,B)).
% 2.30/2.48 0 [] empty(A)| -relation(B)|$f11(A,B)=$f7(A,B)| -in(ordered_pair(D,E),$f14(A,B))|in(D,A).
% 2.30/2.48 0 [] empty(A)| -relation(B)|$f11(A,B)=$f7(A,B)| -in(ordered_pair(D,E),$f14(A,B))|D=$f12(A,B,D,E).
% 2.30/2.48 0 [] empty(A)| -relation(B)|$f11(A,B)=$f7(A,B)| -in(ordered_pair(D,E),$f14(A,B))|in(E,$f12(A,B,D,E)).
% 2.30/2.48 0 [] empty(A)| -relation(B)|$f11(A,B)=$f7(A,B)| -in(ordered_pair(D,E),$f14(A,B))| -in(K,$f12(A,B,D,E))|in(ordered_pair(E,K),B).
% 2.30/2.48 0 [] empty(A)| -relation(B)|$f11(A,B)=$f7(A,B)|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=J| -in(E,J)|in($f13(A,B,D,E,J),J).
% 2.30/2.48 0 [] empty(A)| -relation(B)|$f11(A,B)=$f7(A,B)|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=J| -in(E,J)| -in(ordered_pair(E,$f13(A,B,D,E,J)),B).
% 2.30/2.48 0 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))|relation($f14(A,B)).
% 2.30/2.48 0 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))|function($f14(A,B)).
% 2.30/2.48 0 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))| -in(ordered_pair(D,E),$f14(A,B))|in(D,A).
% 2.30/2.48 0 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))| -in(ordered_pair(D,E),$f14(A,B))|D=$f12(A,B,D,E).
% 2.30/2.48 0 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))| -in(ordered_pair(D,E),$f14(A,B))|in(E,$f12(A,B,D,E)).
% 2.30/2.48 0 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))| -in(ordered_pair(D,E),$f14(A,B))| -in(K,$f12(A,B,D,E))|in(ordered_pair(E,K),B).
% 2.30/2.48 0 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=J| -in(E,J)|in($f13(A,B,D,E,J),J).
% 2.30/2.48 0 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=J| -in(E,J)| -in(ordered_pair(E,$f13(A,B,D,E,J)),B).
% 2.30/2.48 0 [] empty(A)| -relation(B)| -in(G,$f7(A,B))|in(ordered_pair($f10(A,B),G),B)|relation($f14(A,B)).
% 2.30/2.48 0 [] empty(A)| -relation(B)| -in(G,$f7(A,B))|in(ordered_pair($f10(A,B),G),B)|function($f14(A,B)).
% 2.30/2.48 0 [] empty(A)| -relation(B)| -in(G,$f7(A,B))|in(ordered_pair($f10(A,B),G),B)| -in(ordered_pair(D,E),$f14(A,B))|in(D,A).
% 2.30/2.49 0 [] empty(A)| -relation(B)| -in(G,$f7(A,B))|in(ordered_pair($f10(A,B),G),B)| -in(ordered_pair(D,E),$f14(A,B))|D=$f12(A,B,D,E).
% 2.30/2.49 0 [] empty(A)| -relation(B)| -in(G,$f7(A,B))|in(ordered_pair($f10(A,B),G),B)| -in(ordered_pair(D,E),$f14(A,B))|in(E,$f12(A,B,D,E)).
% 2.30/2.49 0 [] empty(A)| -relation(B)| -in(G,$f7(A,B))|in(ordered_pair($f10(A,B),G),B)| -in(ordered_pair(D,E),$f14(A,B))| -in(K,$f12(A,B,D,E))|in(ordered_pair(E,K),B).
% 2.30/2.49 0 [] empty(A)| -relation(B)| -in(G,$f7(A,B))|in(ordered_pair($f10(A,B),G),B)|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=J| -in(E,J)|in($f13(A,B,D,E,J),J).
% 2.30/2.49 0 [] empty(A)| -relation(B)| -in(G,$f7(A,B))|in(ordered_pair($f10(A,B),G),B)|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=J| -in(E,J)| -in(ordered_pair(E,$f13(A,B,D,E,J)),B).
% 2.30/2.49 0 [] empty(A)| -relation(B)|$f11(A,B)=$f8(A,B)|relation($f14(A,B)).
% 2.30/2.49 0 [] empty(A)| -relation(B)|$f11(A,B)=$f8(A,B)|function($f14(A,B)).
% 2.30/2.49 0 [] empty(A)| -relation(B)|$f11(A,B)=$f8(A,B)| -in(ordered_pair(D,E),$f14(A,B))|in(D,A).
% 2.30/2.49 0 [] empty(A)| -relation(B)|$f11(A,B)=$f8(A,B)| -in(ordered_pair(D,E),$f14(A,B))|D=$f12(A,B,D,E).
% 2.30/2.49 0 [] empty(A)| -relation(B)|$f11(A,B)=$f8(A,B)| -in(ordered_pair(D,E),$f14(A,B))|in(E,$f12(A,B,D,E)).
% 2.30/2.49 0 [] empty(A)| -relation(B)|$f11(A,B)=$f8(A,B)| -in(ordered_pair(D,E),$f14(A,B))| -in(K,$f12(A,B,D,E))|in(ordered_pair(E,K),B).
% 2.30/2.49 0 [] empty(A)| -relation(B)|$f11(A,B)=$f8(A,B)|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=J| -in(E,J)|in($f13(A,B,D,E,J),J).
% 2.30/2.49 0 [] empty(A)| -relation(B)|$f11(A,B)=$f8(A,B)|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=J| -in(E,J)| -in(ordered_pair(E,$f13(A,B,D,E,J)),B).
% 2.30/2.49 0 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))|relation($f14(A,B)).
% 2.30/2.49 0 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))|function($f14(A,B)).
% 2.30/2.49 0 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))| -in(ordered_pair(D,E),$f14(A,B))|in(D,A).
% 2.30/2.49 0 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))| -in(ordered_pair(D,E),$f14(A,B))|D=$f12(A,B,D,E).
% 2.30/2.49 0 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))| -in(ordered_pair(D,E),$f14(A,B))|in(E,$f12(A,B,D,E)).
% 2.30/2.49 0 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))| -in(ordered_pair(D,E),$f14(A,B))| -in(K,$f12(A,B,D,E))|in(ordered_pair(E,K),B).
% 2.30/2.49 0 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=J| -in(E,J)|in($f13(A,B,D,E,J),J).
% 2.30/2.49 0 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=J| -in(E,J)| -in(ordered_pair(E,$f13(A,B,D,E,J)),B).
% 2.30/2.49 0 [] empty(A)| -relation(B)| -in(I,$f8(A,B))|in(ordered_pair($f9(A,B),I),B)|relation($f14(A,B)).
% 2.30/2.49 0 [] empty(A)| -relation(B)| -in(I,$f8(A,B))|in(ordered_pair($f9(A,B),I),B)|function($f14(A,B)).
% 2.30/2.49 0 [] empty(A)| -relation(B)| -in(I,$f8(A,B))|in(ordered_pair($f9(A,B),I),B)| -in(ordered_pair(D,E),$f14(A,B))|in(D,A).
% 2.30/2.49 0 [] empty(A)| -relation(B)| -in(I,$f8(A,B))|in(ordered_pair($f9(A,B),I),B)| -in(ordered_pair(D,E),$f14(A,B))|D=$f12(A,B,D,E).
% 2.30/2.49 0 [] empty(A)| -relation(B)| -in(I,$f8(A,B))|in(ordered_pair($f9(A,B),I),B)| -in(ordered_pair(D,E),$f14(A,B))|in(E,$f12(A,B,D,E)).
% 2.30/2.49 0 [] empty(A)| -relation(B)| -in(I,$f8(A,B))|in(ordered_pair($f9(A,B),I),B)| -in(ordered_pair(D,E),$f14(A,B))| -in(K,$f12(A,B,D,E))|in(ordered_pair(E,K),B).
% 2.30/2.49 0 [] empty(A)| -relation(B)| -in(I,$f8(A,B))|in(ordered_pair($f9(A,B),I),B)|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=J| -in(E,J)|in($f13(A,B,D,E,J),J).
% 2.30/2.49 0 [] empty(A)| -relation(B)| -in(I,$f8(A,B))|in(ordered_pair($f9(A,B),I),B)|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=J| -in(E,J)| -in(ordered_pair(E,$f13(A,B,D,E,J)),B).
% 2.30/2.49 0 [] empty(A)| -relation(B)|$f10(A,B)!=$f9(A,B)|relation($f14(A,B)).
% 2.30/2.49 0 [] empty(A)| -relation(B)|$f10(A,B)!=$f9(A,B)|function($f14(A,B)).
% 2.30/2.49 0 [] empty(A)| -relation(B)|$f10(A,B)!=$f9(A,B)| -in(ordered_pair(D,E),$f14(A,B))|in(D,A).
% 2.30/2.49 0 [] empty(A)| -relation(B)|$f10(A,B)!=$f9(A,B)| -in(ordered_pair(D,E),$f14(A,B))|D=$f12(A,B,D,E).
% 2.30/2.49 0 [] empty(A)| -relation(B)|$f10(A,B)!=$f9(A,B)| -in(ordered_pair(D,E),$f14(A,B))|in(E,$f12(A,B,D,E)).
% 2.30/2.49 0 [] empty(A)| -relation(B)|$f10(A,B)!=$f9(A,B)| -in(ordered_pair(D,E),$f14(A,B))| -in(K,$f12(A,B,D,E))|in(ordered_pair(E,K),B).
% 2.30/2.49 0 [] empty(A)| -relation(B)|$f10(A,B)!=$f9(A,B)|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=J| -in(E,J)|in($f13(A,B,D,E,J),J).
% 2.30/2.49 0 [] empty(A)| -relation(B)|$f10(A,B)!=$f9(A,B)|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=J| -in(E,J)| -in(ordered_pair(E,$f13(A,B,D,E,J)),B).
% 2.30/2.49 0 [] -empty(A)|relation(A).
% 2.30/2.49 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 2.30/2.49 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 2.30/2.49 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 2.30/2.49 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 2.30/2.49 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 2.30/2.49 0 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f15(A,B,C)),A).
% 2.30/2.49 0 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 2.30/2.49 0 [] -relation(A)|B=relation_dom(A)|in($f17(A,B),B)|in(ordered_pair($f17(A,B),$f16(A,B)),A).
% 2.30/2.49 0 [] -relation(A)|B=relation_dom(A)| -in($f17(A,B),B)| -in(ordered_pair($f17(A,B),X3),A).
% 2.30/2.49 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 2.30/2.49 0 [] $T.
% 2.30/2.49 0 [] $T.
% 2.30/2.49 0 [] $T.
% 2.30/2.49 0 [] $T.
% 2.30/2.49 0 [] element($f18(A),A).
% 2.30/2.49 0 [] empty(empty_set).
% 2.30/2.49 0 [] relation(empty_set).
% 2.30/2.49 0 [] relation_empty_yielding(empty_set).
% 2.30/2.49 0 [] empty(empty_set).
% 2.30/2.49 0 [] -empty(singleton(A)).
% 2.30/2.49 0 [] -empty(unordered_pair(A,B)).
% 2.30/2.49 0 [] empty(empty_set).
% 2.30/2.49 0 [] relation(empty_set).
% 2.30/2.49 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 2.30/2.49 0 [] -empty(A)|empty(relation_dom(A)).
% 2.30/2.49 0 [] -empty(A)|relation(relation_dom(A)).
% 2.30/2.49 0 [] empty($c11).
% 2.30/2.49 0 [] relation($c11).
% 2.30/2.49 0 [] -empty($c12).
% 2.30/2.49 0 [] relation($c12).
% 2.30/2.49 0 [] relation($c13).
% 2.30/2.49 0 [] relation_empty_yielding($c13).
% 2.30/2.49 0 [] -in(A,B)|element(A,B).
% 2.30/2.49 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.30/2.49 0 [] in($f19(A,B),A)|in($f19(A,B),B)|A=B.
% 2.30/2.49 0 [] -in($f19(A,B),A)| -in($f19(A,B),B)|A=B.
% 2.30/2.49 0 [] -empty(A)|A=empty_set.
% 2.30/2.49 0 [] -in(A,B)| -empty(B).
% 2.30/2.49 0 [] -empty(A)|A=B| -empty(B).
% 2.30/2.49 end_of_list.
% 2.30/2.49
% 2.30/2.49 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 2.30/2.49
% 2.30/2.49 This ia a non-Horn set with equality. The strategy will be
% 2.30/2.49 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.30/2.49 deletion, with positive clauses in sos and nonpositive
% 2.30/2.49 clauses in usable.
% 2.30/2.49
% 2.30/2.49 dependent: set(knuth_bendix).
% 2.30/2.49 dependent: set(anl_eq).
% 2.30/2.49 dependent: set(para_from).
% 2.30/2.49 dependent: set(para_into).
% 2.30/2.49 dependent: clear(para_from_right).
% 2.30/2.49 dependent: clear(para_into_right).
% 2.30/2.49 dependent: set(para_from_vars).
% 2.30/2.49 dependent: set(eq_units_both_ways).
% 2.30/2.49 dependent: set(dynamic_demod_all).
% 2.30/2.49 dependent: set(dynamic_demod).
% 2.30/2.49 dependent: set(order_eq).
% 2.30/2.49 dependent: set(back_demod).
% 2.30/2.49 dependent: set(lrpo).
% 2.30/2.49 dependent: set(hyper_res).
% 2.30/2.49 dependent: set(unit_deletion).
% 2.30/2.49 dependent: set(factor).
% 2.30/2.49
% 2.30/2.49 ------------> process usable:
% 2.30/2.49 ** KEPT (pick-wt=2): 1 [] -empty($c2).
% 2.30/2.49 ** KEPT (pick-wt=32): 2 [] -in(A,$c2)|A!=B| -in(C,B)|in($f1(A,C,D,B),B)|A!=E| -in(D,E)|in($f2(A,C,D,E),E)|C=D.
% 2.30/2.49 ** KEPT (pick-wt=34): 3 [] -in(A,$c2)|A!=B| -in(C,B)|in($f1(A,C,D,B),B)|A!=E| -in(D,E)| -in(ordered_pair(D,$f2(A,C,D,E)),$c1)|C=D.
% 2.30/2.49 ** KEPT (pick-wt=34): 4 [] -in(A,$c2)|A!=B| -in(C,B)| -in(ordered_pair(C,$f1(A,C,D,B)),$c1)|A!=E| -in(D,E)|in($f2(A,C,D,E),E)|C=D.
% 2.30/2.49 ** KEPT (pick-wt=36): 5 [] -in(A,$c2)|A!=B| -in(C,B)| -in(ordered_pair(C,$f1(A,C,D,B)),$c1)|A!=E| -in(D,E)| -in(ordered_pair(D,$f2(A,C,D,E)),$c1)|C=D.
% 2.30/2.49 ** KEPT (pick-wt=7): 7 [copy,6,flip.2] -in(A,$c2)|$f3(A)=A.
% 2.30/2.49 ** KEPT (pick-wt=8): 8 [] -in(A,$c2)|in($f4(A),$f3(A)).
% 2.30/2.49 ** KEPT (pick-wt=13): 9 [] -in(A,$c2)| -in(B,$f3(A))|in(ordered_pair($f4(A),B),$c1).
% 2.30/2.49 ** KEPT (pick-wt=12): 10 [] -relation(A)| -function(A)|relation_dom(A)!=$c2|in($f6(A),$c2).
% 2.30/2.49 ** KEPT (pick-wt=23): 11 [] -relation(A)| -function(A)|relation_dom(A)!=$c2|$f6(A)!=B| -in(apply(A,$f6(A)),B)|in($f5(A,B),B).
% 2.30/2.49 ** KEPT (pick-wt=28): 12 [] -relation(A)| -function(A)|relation_dom(A)!=$c2|$f6(A)!=B| -in(apply(A,$f6(A)),B)| -in(ordered_pair(apply(A,$f6(A)),$f5(A,B)),$c1).
% 2.30/2.49 ** KEPT (pick-wt=4): 13 [] -ordinal(A)|epsilon_transitive(A).
% 2.30/2.49 ** KEPT (pick-wt=4): 14 [] -ordinal(A)|epsilon_connected(A).
% 2.30/2.49 ** KEPT (pick-wt=6): 15 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 2.30/2.49 ** KEPT (pick-wt=2): 16 [] -empty($c6).
% 2.30/2.49 ** KEPT (pick-wt=6): 17 [] -in(A,B)| -in(B,A).
% 2.30/2.49 ** KEPT (pick-wt=4): 18 [] -empty(A)|function(A).
% 2.30/2.49 ** KEPT (pick-wt=8): 19 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.30/2.49 ** KEPT (pick-wt=4): 20 [] -empty(A)|epsilon_transitive(A).
% 2.30/2.49 ** KEPT (pick-wt=4): 21 [] -empty(A)|epsilon_connected(A).
% 2.30/2.49 ** KEPT (pick-wt=4): 22 [] -empty(A)|ordinal(A).
% 2.30/2.49 ** KEPT (pick-wt=4): 23 [] -empty(ordered_pair(A,B)).
% 2.30/2.49 ** KEPT (pick-wt=2): 24 [] -empty($c10).
% 2.30/2.49 ** KEPT (pick-wt=13): 25 [] empty(A)| -relation(B)|in($f11(A,B),A)|relation($f14(A,B)).
% 2.30/2.49 ** KEPT (pick-wt=13): 26 [] empty(A)| -relation(B)|in($f11(A,B),A)|function($f14(A,B)).
% 2.30/2.49 ** KEPT (pick-wt=19): 27 [] empty(A)| -relation(B)|in($f11(A,B),A)| -in(ordered_pair(C,D),$f14(A,B))|in(C,A).
% 2.30/2.49 ** KEPT (pick-wt=23): 29 [copy,28,flip.5] empty(A)| -relation(B)|in($f11(A,B),A)| -in(ordered_pair(C,D),$f14(A,B))|$f12(A,B,C,D)=C.
% 2.30/2.49 ** KEPT (pick-wt=23): 30 [] empty(A)| -relation(B)|in($f11(A,B),A)| -in(ordered_pair(C,D),$f14(A,B))|in(D,$f12(A,B,C,D)).
% 2.30/2.49 ** KEPT (pick-wt=28): 31 [] empty(A)| -relation(B)|in($f11(A,B),A)| -in(ordered_pair(C,D),$f14(A,B))| -in(E,$f12(A,B,C,D))|in(ordered_pair(D,E),B).
% 2.30/2.49 ** KEPT (pick-wt=33): 32 [] empty(A)| -relation(B)|in($f11(A,B),A)|in(ordered_pair(C,D),$f14(A,B))| -in(C,A)|C!=E| -in(D,E)|in($f13(A,B,C,D,E),E).
% 2.30/2.49 ** KEPT (pick-wt=35): 33 [] empty(A)| -relation(B)|in($f11(A,B),A)|in(ordered_pair(C,D),$f14(A,B))| -in(C,A)|C!=E| -in(D,E)| -in(ordered_pair(D,$f13(A,B,C,D,E)),B).
% 2.30/2.49 ** KEPT (pick-wt=15): 35 [copy,34,flip.3] empty(A)| -relation(B)|$f7(A,B)=$f11(A,B)|relation($f14(A,B)).
% 2.30/2.49 ** KEPT (pick-wt=15): 37 [copy,36,flip.3] empty(A)| -relation(B)|$f7(A,B)=$f11(A,B)|function($f14(A,B)).
% 2.30/2.49 ** KEPT (pick-wt=21): 39 [copy,38,flip.3] empty(A)| -relation(B)|$f7(A,B)=$f11(A,B)| -in(ordered_pair(C,D),$f14(A,B))|in(C,A).
% 2.30/2.49 ** KEPT (pick-wt=25): 41 [copy,40,flip.3,flip.5] empty(A)| -relation(B)|$f7(A,B)=$f11(A,B)| -in(ordered_pair(C,D),$f14(A,B))|$f12(A,B,C,D)=C.
% 2.30/2.49 ** KEPT (pick-wt=25): 43 [copy,42,flip.3] empty(A)| -relation(B)|$f7(A,B)=$f11(A,B)| -in(ordered_pair(C,D),$f14(A,B))|in(D,$f12(A,B,C,D)).
% 2.30/2.49 ** KEPT (pick-wt=30): 45 [copy,44,flip.3] empty(A)| -relation(B)|$f7(A,B)=$f11(A,B)| -in(ordered_pair(C,D),$f14(A,B))| -in(E,$f12(A,B,C,D))|in(ordered_pair(D,E),B).
% 2.30/2.49 ** KEPT (pick-wt=35): 47 [copy,46,flip.3] empty(A)| -relation(B)|$f7(A,B)=$f11(A,B)|in(ordered_pair(C,D),$f14(A,B))| -in(C,A)|C!=E| -in(D,E)|in($f13(A,B,C,D,E),E).
% 2.30/2.49 ** KEPT (pick-wt=37): 49 [copy,48,flip.3] empty(A)| -relation(B)|$f7(A,B)=$f11(A,B)|in(ordered_pair(C,D),$f14(A,B))| -in(C,A)|C!=E| -in(D,E)| -in(ordered_pair(D,$f13(A,B,C,D,E)),B).
% 2.30/2.49 ** KEPT (pick-wt=15): 50 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))|relation($f14(A,B)).
% 2.30/2.49 ** KEPT (pick-wt=15): 51 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))|function($f14(A,B)).
% 2.30/2.49 ** KEPT (pick-wt=21): 52 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))| -in(ordered_pair(C,D),$f14(A,B))|in(C,A).
% 2.30/2.49 ** KEPT (pick-wt=25): 54 [copy,53,flip.5] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))| -in(ordered_pair(C,D),$f14(A,B))|$f12(A,B,C,D)=C.
% 2.30/2.49 ** KEPT (pick-wt=25): 55 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))| -in(ordered_pair(C,D),$f14(A,B))|in(D,$f12(A,B,C,D)).
% 2.30/2.49 ** KEPT (pick-wt=30): 56 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))| -in(ordered_pair(C,D),$f14(A,B))| -in(E,$f12(A,B,C,D))|in(ordered_pair(D,E),B).
% 2.30/2.49 ** KEPT (pick-wt=35): 57 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))|in(ordered_pair(C,D),$f14(A,B))| -in(C,A)|C!=E| -in(D,E)|in($f13(A,B,C,D,E),E).
% 2.30/2.49 ** KEPT (pick-wt=37): 58 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))|in(ordered_pair(C,D),$f14(A,B))| -in(C,A)|C!=E| -in(D,E)| -in(ordered_pair(D,$f13(A,B,C,D,E)),B).
% 2.30/2.49 ** KEPT (pick-wt=20): 59 [] empty(A)| -relation(B)| -in(C,$f7(A,B))|in(ordered_pair($f10(A,B),C),B)|relation($f14(A,B)).
% 2.30/2.49 ** KEPT (pick-wt=20): 60 [] empty(A)| -relation(B)| -in(C,$f7(A,B))|in(ordered_pair($f10(A,B),C),B)|function($f14(A,B)).
% 2.30/2.49 ** KEPT (pick-wt=26): 61 [] empty(A)| -relation(B)| -in(C,$f7(A,B))|in(ordered_pair($f10(A,B),C),B)| -in(ordered_pair(D,E),$f14(A,B))|in(D,A).
% 2.30/2.49 ** KEPT (pick-wt=30): 63 [copy,62,flip.6] empty(A)| -relation(B)| -in(C,$f7(A,B))|in(ordered_pair($f10(A,B),C),B)| -in(ordered_pair(D,E),$f14(A,B))|$f12(A,B,D,E)=D.
% 2.30/2.51 ** KEPT (pick-wt=30): 64 [] empty(A)| -relation(B)| -in(C,$f7(A,B))|in(ordered_pair($f10(A,B),C),B)| -in(ordered_pair(D,E),$f14(A,B))|in(E,$f12(A,B,D,E)).
% 2.30/2.51 ** KEPT (pick-wt=35): 65 [] empty(A)| -relation(B)| -in(C,$f7(A,B))|in(ordered_pair($f10(A,B),C),B)| -in(ordered_pair(D,E),$f14(A,B))| -in(F,$f12(A,B,D,E))|in(ordered_pair(E,F),B).
% 2.30/2.51 ** KEPT (pick-wt=40): 66 [] empty(A)| -relation(B)| -in(C,$f7(A,B))|in(ordered_pair($f10(A,B),C),B)|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=F| -in(E,F)|in($f13(A,B,D,E,F),F).
% 2.30/2.51 ** KEPT (pick-wt=42): 67 [] empty(A)| -relation(B)| -in(C,$f7(A,B))|in(ordered_pair($f10(A,B),C),B)|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=F| -in(E,F)| -in(ordered_pair(E,$f13(A,B,D,E,F)),B).
% 2.30/2.51 ** KEPT (pick-wt=15): 69 [copy,68,flip.3] empty(A)| -relation(B)|$f8(A,B)=$f11(A,B)|relation($f14(A,B)).
% 2.30/2.51 ** KEPT (pick-wt=15): 71 [copy,70,flip.3] empty(A)| -relation(B)|$f8(A,B)=$f11(A,B)|function($f14(A,B)).
% 2.30/2.51 ** KEPT (pick-wt=21): 73 [copy,72,flip.3] empty(A)| -relation(B)|$f8(A,B)=$f11(A,B)| -in(ordered_pair(C,D),$f14(A,B))|in(C,A).
% 2.30/2.51 ** KEPT (pick-wt=25): 75 [copy,74,flip.3,flip.5] empty(A)| -relation(B)|$f8(A,B)=$f11(A,B)| -in(ordered_pair(C,D),$f14(A,B))|$f12(A,B,C,D)=C.
% 2.30/2.51 ** KEPT (pick-wt=25): 77 [copy,76,flip.3] empty(A)| -relation(B)|$f8(A,B)=$f11(A,B)| -in(ordered_pair(C,D),$f14(A,B))|in(D,$f12(A,B,C,D)).
% 2.30/2.51 ** KEPT (pick-wt=30): 79 [copy,78,flip.3] empty(A)| -relation(B)|$f8(A,B)=$f11(A,B)| -in(ordered_pair(C,D),$f14(A,B))| -in(E,$f12(A,B,C,D))|in(ordered_pair(D,E),B).
% 2.30/2.51 ** KEPT (pick-wt=35): 81 [copy,80,flip.3] empty(A)| -relation(B)|$f8(A,B)=$f11(A,B)|in(ordered_pair(C,D),$f14(A,B))| -in(C,A)|C!=E| -in(D,E)|in($f13(A,B,C,D,E),E).
% 2.30/2.51 ** KEPT (pick-wt=37): 83 [copy,82,flip.3] empty(A)| -relation(B)|$f8(A,B)=$f11(A,B)|in(ordered_pair(C,D),$f14(A,B))| -in(C,A)|C!=E| -in(D,E)| -in(ordered_pair(D,$f13(A,B,C,D,E)),B).
% 2.30/2.51 ** KEPT (pick-wt=15): 84 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))|relation($f14(A,B)).
% 2.30/2.51 ** KEPT (pick-wt=15): 85 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))|function($f14(A,B)).
% 2.30/2.51 ** KEPT (pick-wt=21): 86 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))| -in(ordered_pair(C,D),$f14(A,B))|in(C,A).
% 2.30/2.51 ** KEPT (pick-wt=25): 88 [copy,87,flip.5] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))| -in(ordered_pair(C,D),$f14(A,B))|$f12(A,B,C,D)=C.
% 2.30/2.51 ** KEPT (pick-wt=25): 89 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))| -in(ordered_pair(C,D),$f14(A,B))|in(D,$f12(A,B,C,D)).
% 2.30/2.51 ** KEPT (pick-wt=30): 90 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))| -in(ordered_pair(C,D),$f14(A,B))| -in(E,$f12(A,B,C,D))|in(ordered_pair(D,E),B).
% 2.30/2.51 ** KEPT (pick-wt=35): 91 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))|in(ordered_pair(C,D),$f14(A,B))| -in(C,A)|C!=E| -in(D,E)|in($f13(A,B,C,D,E),E).
% 2.30/2.51 ** KEPT (pick-wt=37): 92 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))|in(ordered_pair(C,D),$f14(A,B))| -in(C,A)|C!=E| -in(D,E)| -in(ordered_pair(D,$f13(A,B,C,D,E)),B).
% 2.30/2.51 ** KEPT (pick-wt=20): 93 [] empty(A)| -relation(B)| -in(C,$f8(A,B))|in(ordered_pair($f9(A,B),C),B)|relation($f14(A,B)).
% 2.30/2.51 ** KEPT (pick-wt=20): 94 [] empty(A)| -relation(B)| -in(C,$f8(A,B))|in(ordered_pair($f9(A,B),C),B)|function($f14(A,B)).
% 2.30/2.51 ** KEPT (pick-wt=26): 95 [] empty(A)| -relation(B)| -in(C,$f8(A,B))|in(ordered_pair($f9(A,B),C),B)| -in(ordered_pair(D,E),$f14(A,B))|in(D,A).
% 2.30/2.51 ** KEPT (pick-wt=30): 97 [copy,96,flip.6] empty(A)| -relation(B)| -in(C,$f8(A,B))|in(ordered_pair($f9(A,B),C),B)| -in(ordered_pair(D,E),$f14(A,B))|$f12(A,B,D,E)=D.
% 2.30/2.51 ** KEPT (pick-wt=30): 98 [] empty(A)| -relation(B)| -in(C,$f8(A,B))|in(ordered_pair($f9(A,B),C),B)| -in(ordered_pair(D,E),$f14(A,B))|in(E,$f12(A,B,D,E)).
% 2.30/2.51 ** KEPT (pick-wt=35): 99 [] empty(A)| -relation(B)| -in(C,$f8(A,B))|in(ordered_pair($f9(A,B),C),B)| -in(ordered_pair(D,E),$f14(A,B))| -in(F,$f12(A,B,D,E))|in(ordered_pair(E,F),B).
% 2.30/2.51 ** KEPT (pick-wt=40): 100 [] empty(A)| -relation(B)| -in(C,$f8(A,B))|in(ordered_pair($f9(A,B),C),B)|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=F| -in(E,F)|in($f13(A,B,D,E,F),F).
% 2.30/2.51 ** KEPT (pick-wt=42): 101 [] empty(A)| -relation(B)| -in(C,$f8(A,B))|in(ordered_pair($f9(A,B),C),B)|in(ordered_pair(D,E),$f14(A,B))| -in(D,A)|D!=F| -in(E,F)| -in(ordered_pair(E,$f13(A,B,D,E,F)),B).
% 2.38/2.51 ** KEPT (pick-wt=15): 103 [copy,102,flip.3] empty(A)| -relation(B)|$f9(A,B)!=$f10(A,B)|relation($f14(A,B)).
% 2.38/2.51 ** KEPT (pick-wt=15): 105 [copy,104,flip.3] empty(A)| -relation(B)|$f9(A,B)!=$f10(A,B)|function($f14(A,B)).
% 2.38/2.51 ** KEPT (pick-wt=21): 107 [copy,106,flip.3] empty(A)| -relation(B)|$f9(A,B)!=$f10(A,B)| -in(ordered_pair(C,D),$f14(A,B))|in(C,A).
% 2.38/2.51 ** KEPT (pick-wt=25): 109 [copy,108,flip.3,flip.5] empty(A)| -relation(B)|$f9(A,B)!=$f10(A,B)| -in(ordered_pair(C,D),$f14(A,B))|$f12(A,B,C,D)=C.
% 2.38/2.51 ** KEPT (pick-wt=25): 111 [copy,110,flip.3] empty(A)| -relation(B)|$f9(A,B)!=$f10(A,B)| -in(ordered_pair(C,D),$f14(A,B))|in(D,$f12(A,B,C,D)).
% 2.38/2.51 ** KEPT (pick-wt=30): 113 [copy,112,flip.3] empty(A)| -relation(B)|$f9(A,B)!=$f10(A,B)| -in(ordered_pair(C,D),$f14(A,B))| -in(E,$f12(A,B,C,D))|in(ordered_pair(D,E),B).
% 2.38/2.51 ** KEPT (pick-wt=35): 115 [copy,114,flip.3] empty(A)| -relation(B)|$f9(A,B)!=$f10(A,B)|in(ordered_pair(C,D),$f14(A,B))| -in(C,A)|C!=E| -in(D,E)|in($f13(A,B,C,D,E),E).
% 2.38/2.51 ** KEPT (pick-wt=37): 117 [copy,116,flip.3] empty(A)| -relation(B)|$f9(A,B)!=$f10(A,B)|in(ordered_pair(C,D),$f14(A,B))| -in(C,A)|C!=E| -in(D,E)| -in(ordered_pair(D,$f13(A,B,C,D,E)),B).
% 2.38/2.51 ** KEPT (pick-wt=4): 118 [] -empty(A)|relation(A).
% 2.38/2.51 ** KEPT (pick-wt=18): 119 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 2.38/2.51 ** KEPT (pick-wt=18): 120 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 2.38/2.51 ** KEPT (pick-wt=16): 121 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 2.38/2.51 ** KEPT (pick-wt=16): 122 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 2.38/2.51 ** KEPT (pick-wt=17): 123 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f15(A,B,C)),A).
% 2.38/2.51 ** KEPT (pick-wt=14): 124 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 2.38/2.51 ** KEPT (pick-wt=20): 125 [] -relation(A)|B=relation_dom(A)|in($f17(A,B),B)|in(ordered_pair($f17(A,B),$f16(A,B)),A).
% 2.38/2.51 ** KEPT (pick-wt=18): 126 [] -relation(A)|B=relation_dom(A)| -in($f17(A,B),B)| -in(ordered_pair($f17(A,B),C),A).
% 2.38/2.51 ** KEPT (pick-wt=3): 127 [] -empty(singleton(A)).
% 2.38/2.51 ** KEPT (pick-wt=4): 128 [] -empty(unordered_pair(A,B)).
% 2.38/2.51 ** KEPT (pick-wt=7): 129 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 2.38/2.51 ** KEPT (pick-wt=5): 130 [] -empty(A)|empty(relation_dom(A)).
% 2.38/2.51 ** KEPT (pick-wt=5): 131 [] -empty(A)|relation(relation_dom(A)).
% 2.38/2.51 ** KEPT (pick-wt=2): 132 [] -empty($c12).
% 2.38/2.51 ** KEPT (pick-wt=6): 133 [] -in(A,B)|element(A,B).
% 2.38/2.51 ** KEPT (pick-wt=8): 134 [] -element(A,B)|empty(B)|in(A,B).
% 2.38/2.51 ** KEPT (pick-wt=13): 135 [] -in($f19(A,B),A)| -in($f19(A,B),B)|A=B.
% 2.38/2.51 ** KEPT (pick-wt=5): 136 [] -empty(A)|A=empty_set.
% 2.38/2.51 ** KEPT (pick-wt=5): 137 [] -in(A,B)| -empty(B).
% 2.38/2.51 ** KEPT (pick-wt=7): 138 [] -empty(A)|A=B| -empty(B).
% 2.38/2.51
% 2.38/2.51 ------------> process sos:
% 2.38/2.51 ** KEPT (pick-wt=3): 197 [] A=A.
% 2.38/2.51 ** KEPT (pick-wt=2): 198 [] relation($c1).
% 2.38/2.51 ** KEPT (pick-wt=2): 199 [] relation($c3).
% 2.38/2.51 ** KEPT (pick-wt=2): 200 [] function($c3).
% 2.38/2.51 ** KEPT (pick-wt=2): 201 [] one_to_one($c3).
% 2.38/2.51 ** KEPT (pick-wt=2): 202 [] epsilon_transitive($c4).
% 2.38/2.51 ** KEPT (pick-wt=2): 203 [] epsilon_connected($c4).
% 2.38/2.51 ** KEPT (pick-wt=2): 204 [] ordinal($c4).
% 2.38/2.51 ** KEPT (pick-wt=2): 205 [] relation($c5).
% 2.38/2.51 ** KEPT (pick-wt=2): 206 [] function($c5).
% 2.38/2.51 ** KEPT (pick-wt=2): 207 [] one_to_one($c5).
% 2.38/2.51 ** KEPT (pick-wt=2): 208 [] empty($c5).
% 2.38/2.51 ** KEPT (pick-wt=2): 209 [] epsilon_transitive($c5).
% 2.38/2.51 ** KEPT (pick-wt=2): 210 [] epsilon_connected($c5).
% 2.38/2.51 ** KEPT (pick-wt=2): 211 [] ordinal($c5).
% 2.38/2.51 ** KEPT (pick-wt=2): 212 [] epsilon_transitive($c6).
% 2.38/2.51 ** KEPT (pick-wt=2): 213 [] epsilon_connected($c6).
% 2.38/2.51 ** KEPT (pick-wt=2): 214 [] ordinal($c6).
% 2.38/2.51 ** KEPT (pick-wt=2): 215 [] relation($c7).
% 2.38/2.51 ** KEPT (pick-wt=2): 216 [] function($c7).
% 2.38/2.51 ** KEPT (pick-wt=2): 217 [] relation($c8).
% 2.38/2.51 ** KEPT (pick-wt=2): 218 [] empty($c8).
% 2.38/2.51 ** KEPT (pick-wt=2): 219 [] function($c8).
% 2.38/2.51 ** KEPT (pick-wt=2): 220 [] empty($c9).
% 2.38/2.51 ** KEPT (pick-wt=7): 221 [] unordered_pair(A,B)=unordered_pair(B,A).
% 2.38/2.51 ** KEPT (pick-wt=10)Alarm clock
% 299.91/300.04 Otter interrupted
% 299.91/300.04 PROOF NOT FOUND
%------------------------------------------------------------------------------