TSTP Solution File: SEU287+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU287+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n005.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 : Unknown 154.40s 154.64s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU287+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 07:43:20 EDT 2022
% 0.14/0.34 % CPUTime :
% 2.11/2.29 ----- Otter 3.3f, August 2004 -----
% 2.11/2.29 The process was started by sandbox on n005.cluster.edu,
% 2.11/2.29 Wed Jul 27 07:43:20 2022
% 2.11/2.29 The command was "./otter". The process ID is 28545.
% 2.11/2.29
% 2.11/2.29 set(prolog_style_variables).
% 2.11/2.29 set(auto).
% 2.11/2.29 dependent: set(auto1).
% 2.11/2.29 dependent: set(process_input).
% 2.11/2.29 dependent: clear(print_kept).
% 2.11/2.29 dependent: clear(print_new_demod).
% 2.11/2.29 dependent: clear(print_back_demod).
% 2.11/2.29 dependent: clear(print_back_sub).
% 2.11/2.29 dependent: set(control_memory).
% 2.11/2.29 dependent: assign(max_mem, 12000).
% 2.11/2.29 dependent: assign(pick_given_ratio, 4).
% 2.11/2.29 dependent: assign(stats_level, 1).
% 2.11/2.29 dependent: assign(max_seconds, 10800).
% 2.11/2.29 clear(print_given).
% 2.11/2.29
% 2.11/2.29 formula_list(usable).
% 2.11/2.29 all A (A=A).
% 2.11/2.29 -(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)))))))))))).
% 2.11/2.29 exists A (relation(A)&function(A)&one_to_one(A)).
% 2.11/2.29 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 2.11/2.29 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 2.11/2.29 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.11/2.29 exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.11/2.29 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.11/2.29 all A B (in(A,B)-> -in(B,A)).
% 2.11/2.29 $T.
% 2.11/2.29 exists A (relation(A)&function(A)).
% 2.11/2.29 all A (empty(A)->function(A)).
% 2.11/2.29 exists A (relation(A)&empty(A)&function(A)).
% 2.11/2.29 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 2.11/2.29 all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.11/2.29 all A B (-empty(ordered_pair(A,B))).
% 2.11/2.29 exists A empty(A).
% 2.11/2.29 exists A (-empty(A)).
% 2.11/2.29 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 all D (in(D,C)<-> (exists E (in(E,A)&in(E,A)& (exists J (E=J&in(D,J)& (all K (in(K,J)->in(ordered_pair(D,K),B))))))))))).
% 2.11/2.29 all A B (-empty(A)&relation(B)-> (all C exists D all E (in(E,D)<->in(E,cartesian_product2(A,C))& (exists F G (ordered_pair(F,G)=E&in(F,A)& (exists H (F=H&in(G,H)& (all I (in(I,H)->in(ordered_pair(G,I),B)))))))))).
% 2.11/2.29 all A (empty(A)->relation(A)).
% 2.11/2.29 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 2.11/2.29 all A (function(A)<-> (all B C D (in(ordered_pair(B,C),A)&in(ordered_pair(B,D),A)->C=D))).
% 2.11/2.29 all A (relation(A)<-> (all B (-(in(B,A)& (all C D (B!=ordered_pair(C,D))))))).
% 2.11/2.29 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 2.11/2.29 $T.
% 2.11/2.29 $T.
% 2.11/2.29 $T.
% 2.11/2.29 $T.
% 2.11/2.29 $T.
% 2.11/2.29 all A exists B element(B,A).
% 2.11/2.29 empty(empty_set).
% 2.11/2.29 relation(empty_set).
% 2.11/2.29 relation_empty_yielding(empty_set).
% 2.11/2.29 empty(empty_set).
% 2.11/2.29 all A (-empty(singleton(A))).
% 2.11/2.29 all A B (-empty(unordered_pair(A,B))).
% 2.11/2.29 empty(empty_set).
% 2.11/2.29 relation(empty_set).
% 2.11/2.29 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 2.11/2.29 exists A (empty(A)&relation(A)).
% 2.11/2.29 exists A (-empty(A)&relation(A)).
% 2.11/2.29 exists A (relation(A)&relation_empty_yielding(A)).
% 2.11/2.29 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 2.11/2.29 all A B (in(A,B)->element(A,B)).
% 2.11/2.29 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.11/2.29 all A B C D (ordered_pair(A,B)=ordered_pair(C,D)->A=C&B=D).
% 2.11/2.29 all A (empty(A)->A=empty_set).
% 2.11/2.29 all A B (-(in(A,B)&empty(B))).
% 2.11/2.29 all A B (-(empty(A)&A!=B&empty(B))).
% 2.11/2.29 end_of_list.
% 2.11/2.29
% 2.11/2.29 -------> usable clausifies to:
% 2.11/2.29
% 2.11/2.29 list(usable).
% 2.11/2.29 0 [] A=A.
% 2.11/2.29 0 [] -empty($c2).
% 2.11/2.29 0 [] relation($c1).
% 2.11/2.29 0 [] -in(C,$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.
% 2.11/2.29 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.
% 2.11/2.29 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.
% 2.11/2.29 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)),$c1)|D=E.
% 2.11/2.29 0 [] -relation(X1)| -function(X1)|in(ordered_pair($f6(X1),$f5(X1)),X1)|in($f6(X1),$c2).
% 2.11/2.29 0 [] -relation(X1)| -function(X1)|in(ordered_pair($f6(X1),$f5(X1)),X1)|$f6(X1)=$f3(X1).
% 2.11/2.29 0 [] -relation(X1)| -function(X1)|in(ordered_pair($f6(X1),$f5(X1)),X1)|in($f5(X1),$f3(X1)).
% 2.11/2.29 0 [] -relation(X1)| -function(X1)|in(ordered_pair($f6(X1),$f5(X1)),X1)| -in(K,$f3(X1))|in(ordered_pair($f5(X1),K),$c1).
% 2.11/2.29 0 [] -relation(X1)| -function(X1)| -in(ordered_pair($f6(X1),$f5(X1)),X1)| -in($f6(X1),$c2)|$f6(X1)!=J| -in($f5(X1),J)|in($f4(X1,J),J).
% 2.11/2.29 0 [] -relation(X1)| -function(X1)| -in(ordered_pair($f6(X1),$f5(X1)),X1)| -in($f6(X1),$c2)|$f6(X1)!=J| -in($f5(X1),J)| -in(ordered_pair($f5(X1),$f4(X1,J)),$c1).
% 2.11/2.29 0 [] relation($c3).
% 2.11/2.29 0 [] function($c3).
% 2.11/2.29 0 [] one_to_one($c3).
% 2.11/2.29 0 [] -ordinal(A)|epsilon_transitive(A).
% 2.11/2.29 0 [] -ordinal(A)|epsilon_connected(A).
% 2.11/2.29 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 2.11/2.29 0 [] epsilon_transitive($c4).
% 2.11/2.29 0 [] epsilon_connected($c4).
% 2.11/2.29 0 [] ordinal($c4).
% 2.11/2.29 0 [] relation($c5).
% 2.11/2.29 0 [] function($c5).
% 2.11/2.29 0 [] one_to_one($c5).
% 2.11/2.29 0 [] empty($c5).
% 2.11/2.29 0 [] epsilon_transitive($c5).
% 2.11/2.29 0 [] epsilon_connected($c5).
% 2.11/2.29 0 [] ordinal($c5).
% 2.11/2.29 0 [] -empty($c6).
% 2.11/2.29 0 [] epsilon_transitive($c6).
% 2.11/2.29 0 [] epsilon_connected($c6).
% 2.11/2.29 0 [] ordinal($c6).
% 2.11/2.29 0 [] -in(A,B)| -in(B,A).
% 2.11/2.29 0 [] $T.
% 2.11/2.29 0 [] relation($c7).
% 2.11/2.29 0 [] function($c7).
% 2.11/2.29 0 [] -empty(A)|function(A).
% 2.11/2.29 0 [] relation($c8).
% 2.11/2.29 0 [] empty($c8).
% 2.11/2.29 0 [] function($c8).
% 2.11/2.29 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.11/2.29 0 [] -empty(A)|epsilon_transitive(A).
% 2.11/2.29 0 [] -empty(A)|epsilon_connected(A).
% 2.11/2.29 0 [] -empty(A)|ordinal(A).
% 2.11/2.29 0 [] -empty(ordered_pair(A,B)).
% 2.11/2.29 0 [] empty($c9).
% 2.11/2.29 0 [] -empty($c10).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f11(A,B),A)| -in(D,$f15(A,B))|in($f13(A,B,D),A).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f11(A,B),A)| -in(D,$f15(A,B))|$f13(A,B,D)=$f12(A,B,D).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f11(A,B),A)| -in(D,$f15(A,B))|in(D,$f12(A,B,D)).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f11(A,B),A)| -in(D,$f15(A,B))| -in(K,$f12(A,B,D))|in(ordered_pair(D,K),B).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f11(A,B),A)|in(D,$f15(A,B))| -in(E,A)|E!=J| -in(D,J)|in($f14(A,B,D,E,J),J).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f11(A,B),A)|in(D,$f15(A,B))| -in(E,A)|E!=J| -in(D,J)| -in(ordered_pair(D,$f14(A,B,D,E,J)),B).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f11(A,B)=$f7(A,B)| -in(D,$f15(A,B))|in($f13(A,B,D),A).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f11(A,B)=$f7(A,B)| -in(D,$f15(A,B))|$f13(A,B,D)=$f12(A,B,D).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f11(A,B)=$f7(A,B)| -in(D,$f15(A,B))|in(D,$f12(A,B,D)).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f11(A,B)=$f7(A,B)| -in(D,$f15(A,B))| -in(K,$f12(A,B,D))|in(ordered_pair(D,K),B).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f11(A,B)=$f7(A,B)|in(D,$f15(A,B))| -in(E,A)|E!=J| -in(D,J)|in($f14(A,B,D,E,J),J).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f11(A,B)=$f7(A,B)|in(D,$f15(A,B))| -in(E,A)|E!=J| -in(D,J)| -in(ordered_pair(D,$f14(A,B,D,E,J)),B).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))| -in(D,$f15(A,B))|in($f13(A,B,D),A).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))| -in(D,$f15(A,B))|$f13(A,B,D)=$f12(A,B,D).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))| -in(D,$f15(A,B))|in(D,$f12(A,B,D)).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))| -in(D,$f15(A,B))| -in(K,$f12(A,B,D))|in(ordered_pair(D,K),B).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))|in(D,$f15(A,B))| -in(E,A)|E!=J| -in(D,J)|in($f14(A,B,D,E,J),J).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))|in(D,$f15(A,B))| -in(E,A)|E!=J| -in(D,J)| -in(ordered_pair(D,$f14(A,B,D,E,J)),B).
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(G,$f7(A,B))|in(ordered_pair($f10(A,B),G),B)| -in(D,$f15(A,B))|in($f13(A,B,D),A).
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(G,$f7(A,B))|in(ordered_pair($f10(A,B),G),B)| -in(D,$f15(A,B))|$f13(A,B,D)=$f12(A,B,D).
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(G,$f7(A,B))|in(ordered_pair($f10(A,B),G),B)| -in(D,$f15(A,B))|in(D,$f12(A,B,D)).
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(G,$f7(A,B))|in(ordered_pair($f10(A,B),G),B)| -in(D,$f15(A,B))| -in(K,$f12(A,B,D))|in(ordered_pair(D,K),B).
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(G,$f7(A,B))|in(ordered_pair($f10(A,B),G),B)|in(D,$f15(A,B))| -in(E,A)|E!=J| -in(D,J)|in($f14(A,B,D,E,J),J).
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(G,$f7(A,B))|in(ordered_pair($f10(A,B),G),B)|in(D,$f15(A,B))| -in(E,A)|E!=J| -in(D,J)| -in(ordered_pair(D,$f14(A,B,D,E,J)),B).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f11(A,B)=$f8(A,B)| -in(D,$f15(A,B))|in($f13(A,B,D),A).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f11(A,B)=$f8(A,B)| -in(D,$f15(A,B))|$f13(A,B,D)=$f12(A,B,D).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f11(A,B)=$f8(A,B)| -in(D,$f15(A,B))|in(D,$f12(A,B,D)).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f11(A,B)=$f8(A,B)| -in(D,$f15(A,B))| -in(K,$f12(A,B,D))|in(ordered_pair(D,K),B).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f11(A,B)=$f8(A,B)|in(D,$f15(A,B))| -in(E,A)|E!=J| -in(D,J)|in($f14(A,B,D,E,J),J).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f11(A,B)=$f8(A,B)|in(D,$f15(A,B))| -in(E,A)|E!=J| -in(D,J)| -in(ordered_pair(D,$f14(A,B,D,E,J)),B).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))| -in(D,$f15(A,B))|in($f13(A,B,D),A).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))| -in(D,$f15(A,B))|$f13(A,B,D)=$f12(A,B,D).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))| -in(D,$f15(A,B))|in(D,$f12(A,B,D)).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))| -in(D,$f15(A,B))| -in(K,$f12(A,B,D))|in(ordered_pair(D,K),B).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))|in(D,$f15(A,B))| -in(E,A)|E!=J| -in(D,J)|in($f14(A,B,D,E,J),J).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))|in(D,$f15(A,B))| -in(E,A)|E!=J| -in(D,J)| -in(ordered_pair(D,$f14(A,B,D,E,J)),B).
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(I,$f8(A,B))|in(ordered_pair($f9(A,B),I),B)| -in(D,$f15(A,B))|in($f13(A,B,D),A).
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(I,$f8(A,B))|in(ordered_pair($f9(A,B),I),B)| -in(D,$f15(A,B))|$f13(A,B,D)=$f12(A,B,D).
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(I,$f8(A,B))|in(ordered_pair($f9(A,B),I),B)| -in(D,$f15(A,B))|in(D,$f12(A,B,D)).
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(I,$f8(A,B))|in(ordered_pair($f9(A,B),I),B)| -in(D,$f15(A,B))| -in(K,$f12(A,B,D))|in(ordered_pair(D,K),B).
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(I,$f8(A,B))|in(ordered_pair($f9(A,B),I),B)|in(D,$f15(A,B))| -in(E,A)|E!=J| -in(D,J)|in($f14(A,B,D,E,J),J).
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(I,$f8(A,B))|in(ordered_pair($f9(A,B),I),B)|in(D,$f15(A,B))| -in(E,A)|E!=J| -in(D,J)| -in(ordered_pair(D,$f14(A,B,D,E,J)),B).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f10(A,B)!=$f9(A,B)| -in(D,$f15(A,B))|in($f13(A,B,D),A).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f10(A,B)!=$f9(A,B)| -in(D,$f15(A,B))|$f13(A,B,D)=$f12(A,B,D).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f10(A,B)!=$f9(A,B)| -in(D,$f15(A,B))|in(D,$f12(A,B,D)).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f10(A,B)!=$f9(A,B)| -in(D,$f15(A,B))| -in(K,$f12(A,B,D))|in(ordered_pair(D,K),B).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f10(A,B)!=$f9(A,B)|in(D,$f15(A,B))| -in(E,A)|E!=J| -in(D,J)|in($f14(A,B,D,E,J),J).
% 2.11/2.29 0 [] empty(A)| -relation(B)|$f10(A,B)!=$f9(A,B)|in(D,$f15(A,B))| -in(E,A)|E!=J| -in(D,J)| -in(ordered_pair(D,$f14(A,B,D,E,J)),B).
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(E,$f20(A,B,C))|in(E,cartesian_product2(A,C)).
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(E,$f20(A,B,C))|ordered_pair($f18(A,B,C,E),$f17(A,B,C,E))=E.
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(E,$f20(A,B,C))|in($f18(A,B,C,E),A).
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(E,$f20(A,B,C))|$f18(A,B,C,E)=$f16(A,B,C,E).
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(E,$f20(A,B,C))|in($f17(A,B,C,E),$f16(A,B,C,E)).
% 2.11/2.29 0 [] empty(A)| -relation(B)| -in(E,$f20(A,B,C))| -in(I,$f16(A,B,C,E))|in(ordered_pair($f17(A,B,C,E),I),B).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in(E,$f20(A,B,C))| -in(E,cartesian_product2(A,C))|ordered_pair(F,G)!=E| -in(F,A)|F!=H| -in(G,H)|in($f19(A,B,C,E,F,G,H),H).
% 2.11/2.29 0 [] empty(A)| -relation(B)|in(E,$f20(A,B,C))| -in(E,cartesian_product2(A,C))|ordered_pair(F,G)!=E| -in(F,A)|F!=H| -in(G,H)| -in(ordered_pair(G,$f19(A,B,C,E,F,G,H)),B).
% 2.11/2.29 0 [] -empty(A)|relation(A).
% 2.11/2.29 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 2.11/2.29 0 [] -function(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(B,D),A)|C=D.
% 2.11/2.29 0 [] function(A)|in(ordered_pair($f23(A),$f22(A)),A).
% 2.11/2.29 0 [] function(A)|in(ordered_pair($f23(A),$f21(A)),A).
% 2.11/2.29 0 [] function(A)|$f22(A)!=$f21(A).
% 2.11/2.29 0 [] -relation(A)| -in(B,A)|B=ordered_pair($f25(A,B),$f24(A,B)).
% 2.11/2.29 0 [] relation(A)|in($f26(A),A).
% 2.11/2.29 0 [] relation(A)|$f26(A)!=ordered_pair(C,D).
% 2.11/2.29 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 2.11/2.29 0 [] $T.
% 2.11/2.29 0 [] $T.
% 2.11/2.29 0 [] $T.
% 2.11/2.29 0 [] $T.
% 2.11/2.29 0 [] $T.
% 2.11/2.29 0 [] element($f27(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(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 [] empty($c11).
% 2.11/2.30 0 [] relation($c11).
% 2.11/2.30 0 [] -empty($c12).
% 2.11/2.30 0 [] relation($c12).
% 2.11/2.30 0 [] relation($c13).
% 2.11/2.30 0 [] relation_empty_yielding($c13).
% 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=2): 1 [] -empty($c2).
% 2.11/2.30 ** KEPT (pick-wt=32): 2 [] -in(A,$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.
% 2.11/2.30 ** 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.
% 2.11/2.30 ** 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.
% 2.11/2.30 ** 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)),$c1)|C=D.
% 2.11/2.30 ** KEPT (pick-wt=15): 6 [] -relation(A)| -function(A)|in(ordered_pair($f6(A),$f5(A)),A)|in($f6(A),$c2).
% 2.11/2.30 ** KEPT (pick-wt=16): 7 [] -relation(A)| -function(A)|in(ordered_pair($f6(A),$f5(A)),A)|$f6(A)=$f3(A).
% 2.11/2.30 ** KEPT (pick-wt=16): 8 [] -relation(A)| -function(A)|in(ordered_pair($f6(A),$f5(A)),A)|in($f5(A),$f3(A)).
% 2.11/2.30 ** KEPT (pick-wt=21): 9 [] -relation(A)| -function(A)|in(ordered_pair($f6(A),$f5(A)),A)| -in(B,$f3(A))|in(ordered_pair($f5(A),B),$c1).
% 2.11/2.30 ** KEPT (pick-wt=28): 10 [] -relation(A)| -function(A)| -in(ordered_pair($f6(A),$f5(A)),A)| -in($f6(A),$c2)|$f6(A)!=B| -in($f5(A),B)|in($f4(A,B),B).
% 2.11/2.30 ** KEPT (pick-wt=31): 11 [] -relation(A)| -function(A)| -in(ordered_pair($f6(A),$f5(A)),A)| -in($f6(A),$c2)|$f6(A)!=B| -in($f5(A),B)| -in(ordered_pair($f5(A),$f4(A,B)),$c1).
% 2.11/2.30 ** KEPT (pick-wt=4): 12 [] -ordinal(A)|epsilon_transitive(A).
% 2.11/2.30 ** KEPT (pick-wt=4): 13 [] -ordinal(A)|epsilon_connected(A).
% 2.11/2.30 ** KEPT (pick-wt=6): 14 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 2.11/2.30 ** KEPT (pick-wt=2): 15 [] -empty($c6).
% 2.11/2.30 ** KEPT (pick-wt=6): 16 [] -in(A,B)| -in(B,A).
% 2.11/2.30 ** KEPT (pick-wt=4): 17 [] -empty(A)|function(A).
% 2.11/2.30 ** KEPT (pick-wt=8): 18 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.11/2.30 ** KEPT (pick-wt=4): 19 [] -empty(A)|epsilon_transitive(A).
% 2.11/2.30 ** KEPT (pick-wt=4): 20 [] -empty(A)|epsilon_connected(A).
% 2.11/2.30 ** KEPT (pick-wt=4): 21 [] -empty(A)|ordinal(A).
% 2.11/2.30 ** KEPT (pick-wt=4): 22 [] -empty(ordered_pair(A,B)).
% 2.11/2.30 ** KEPT (pick-wt=2): 23 [] -empty($c10).
% 2.11/2.30 ** KEPT (pick-wt=20): 24 [] empty(A)| -relation(B)|in($f11(A,B),A)| -in(C,$f15(A,B))|in($f13(A,B,C),A).
% 2.11/2.30 ** KEPT (pick-wt=23): 25 [] empty(A)| -relation(B)|in($f11(A,B),A)| -in(C,$f15(A,B))|$f13(A,B,C)=$f12(A,B,C).
% 2.11/2.30 ** KEPT (pick-wt=20): 26 [] empty(A)| -relation(B)|in($f11(A,B),A)| -in(C,$f15(A,B))|in(C,$f12(A,B,C)).
% 2.11/2.30 ** KEPT (pick-wt=25): 27 [] empty(A)| -relation(B)|in($f11(A,B),A)| -in(C,$f15(A,B))| -in(D,$f12(A,B,C))|in(ordered_pair(C,D),B).
% 2.11/2.30 ** KEPT (pick-wt=31): 28 [] empty(A)| -relation(B)|in($f11(A,B),A)|in(C,$f15(A,B))| -in(D,A)|D!=E| -in(C,E)|in($f14(A,B,C,D,E),E).
% 2.11/2.30 ** KEPT (pick-wt=33): 29 [] empty(A)| -relation(B)|in($f11(A,B),A)|in(C,$f15(A,B))| -in(D,A)|D!=E| -in(C,E)| -in(ordered_pair(C,$f14(A,B,C,D,E)),B).
% 2.11/2.30 ** KEPT (pick-wt=22): 31 [copy,30,flip.3] empty(A)| -relation(B)|$f7(A,B)=$f11(A,B)| -in(C,$f15(A,B))|in($f13(A,B,C),A).
% 2.11/2.30 ** KEPT (pick-wt=25): 33 [copy,32,flip.3] empty(A)| -relation(B)|$f7(A,B)=$f11(A,B)| -in(C,$f15(A,B))|$f13(A,B,C)=$f12(A,B,C).
% 2.11/2.30 ** KEPT (pick-wt=22): 35 [copy,34,flip.3] empty(A)| -relation(B)|$f7(A,B)=$f11(A,B)| -in(C,$f15(A,B))|in(C,$f12(A,B,C)).
% 2.11/2.30 ** KEPT (pick-wt=27): 37 [copy,36,flip.3] empty(A)| -relation(B)|$f7(A,B)=$f11(A,B)| -in(C,$f15(A,B))| -in(D,$f12(A,B,C))|in(ordered_pair(C,D),B).
% 2.11/2.30 ** KEPT (pick-wt=33): 39 [copy,38,flip.3] empty(A)| -relation(B)|$f7(A,B)=$f11(A,B)|in(C,$f15(A,B))| -in(D,A)|D!=E| -in(C,E)|in($f14(A,B,C,D,E),E).
% 2.11/2.30 ** KEPT (pick-wt=35): 41 [copy,40,flip.3] empty(A)| -relation(B)|$f7(A,B)=$f11(A,B)|in(C,$f15(A,B))| -in(D,A)|D!=E| -in(C,E)| -in(ordered_pair(C,$f14(A,B,C,D,E)),B).
% 2.11/2.30 ** KEPT (pick-wt=22): 42 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))| -in(C,$f15(A,B))|in($f13(A,B,C),A).
% 2.11/2.30 ** KEPT (pick-wt=25): 43 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))| -in(C,$f15(A,B))|$f13(A,B,C)=$f12(A,B,C).
% 2.11/2.30 ** KEPT (pick-wt=22): 44 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))| -in(C,$f15(A,B))|in(C,$f12(A,B,C)).
% 2.11/2.30 ** KEPT (pick-wt=27): 45 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))| -in(C,$f15(A,B))| -in(D,$f12(A,B,C))|in(ordered_pair(C,D),B).
% 2.11/2.30 ** KEPT (pick-wt=33): 46 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))|in(C,$f15(A,B))| -in(D,A)|D!=E| -in(C,E)|in($f14(A,B,C,D,E),E).
% 2.11/2.30 ** KEPT (pick-wt=35): 47 [] empty(A)| -relation(B)|in($f10(A,B),$f7(A,B))|in(C,$f15(A,B))| -in(D,A)|D!=E| -in(C,E)| -in(ordered_pair(C,$f14(A,B,C,D,E)),B).
% 2.11/2.30 ** KEPT (pick-wt=27): 48 [] empty(A)| -relation(B)| -in(C,$f7(A,B))|in(ordered_pair($f10(A,B),C),B)| -in(D,$f15(A,B))|in($f13(A,B,D),A).
% 2.11/2.30 ** KEPT (pick-wt=30): 49 [] empty(A)| -relation(B)| -in(C,$f7(A,B))|in(ordered_pair($f10(A,B),C),B)| -in(D,$f15(A,B))|$f13(A,B,D)=$f12(A,B,D).
% 2.11/2.30 ** KEPT (pick-wt=27): 50 [] empty(A)| -relation(B)| -in(C,$f7(A,B))|in(ordered_pair($f10(A,B),C),B)| -in(D,$f15(A,B))|in(D,$f12(A,B,D)).
% 2.11/2.30 ** KEPT (pick-wt=32): 51 [] empty(A)| -relation(B)| -in(C,$f7(A,B))|in(ordered_pair($f10(A,B),C),B)| -in(D,$f15(A,B))| -in(E,$f12(A,B,D))|in(ordered_pair(D,E),B).
% 2.11/2.30 ** KEPT (pick-wt=38): 52 [] empty(A)| -relation(B)| -in(C,$f7(A,B))|in(ordered_pair($f10(A,B),C),B)|in(D,$f15(A,B))| -in(E,A)|E!=F| -in(D,F)|in($f14(A,B,D,E,F),F).
% 2.11/2.30 ** KEPT (pick-wt=40): 53 [] empty(A)| -relation(B)| -in(C,$f7(A,B))|in(ordered_pair($f10(A,B),C),B)|in(D,$f15(A,B))| -in(E,A)|E!=F| -in(D,F)| -in(ordered_pair(D,$f14(A,B,D,E,F)),B).
% 2.11/2.30 ** KEPT (pick-wt=22): 55 [copy,54,flip.3] empty(A)| -relation(B)|$f8(A,B)=$f11(A,B)| -in(C,$f15(A,B))|in($f13(A,B,C),A).
% 2.11/2.30 ** KEPT (pick-wt=25): 57 [copy,56,flip.3] empty(A)| -relation(B)|$f8(A,B)=$f11(A,B)| -in(C,$f15(A,B))|$f13(A,B,C)=$f12(A,B,C).
% 2.11/2.30 ** KEPT (pick-wt=22): 59 [copy,58,flip.3] empty(A)| -relation(B)|$f8(A,B)=$f11(A,B)| -in(C,$f15(A,B))|in(C,$f12(A,B,C)).
% 2.11/2.30 ** KEPT (pick-wt=27): 61 [copy,60,flip.3] empty(A)| -relation(B)|$f8(A,B)=$f11(A,B)| -in(C,$f15(A,B))| -in(D,$f12(A,B,C))|in(ordered_pair(C,D),B).
% 2.11/2.30 ** KEPT (pick-wt=33): 63 [copy,62,flip.3] empty(A)| -relation(B)|$f8(A,B)=$f11(A,B)|in(C,$f15(A,B))| -in(D,A)|D!=E| -in(C,E)|in($f14(A,B,C,D,E),E).
% 2.11/2.30 ** KEPT (pick-wt=35): 65 [copy,64,flip.3] empty(A)| -relation(B)|$f8(A,B)=$f11(A,B)|in(C,$f15(A,B))| -in(D,A)|D!=E| -in(C,E)| -in(ordered_pair(C,$f14(A,B,C,D,E)),B).
% 2.11/2.30 ** KEPT (pick-wt=22): 66 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))| -in(C,$f15(A,B))|in($f13(A,B,C),A).
% 2.11/2.30 ** KEPT (pick-wt=25): 67 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))| -in(C,$f15(A,B))|$f13(A,B,C)=$f12(A,B,C).
% 2.11/2.30 ** KEPT (pick-wt=22): 68 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))| -in(C,$f15(A,B))|in(C,$f12(A,B,C)).
% 2.11/2.30 ** KEPT (pick-wt=27): 69 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))| -in(C,$f15(A,B))| -in(D,$f12(A,B,C))|in(ordered_pair(C,D),B).
% 2.11/2.32 ** KEPT (pick-wt=33): 70 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))|in(C,$f15(A,B))| -in(D,A)|D!=E| -in(C,E)|in($f14(A,B,C,D,E),E).
% 2.11/2.32 ** KEPT (pick-wt=35): 71 [] empty(A)| -relation(B)|in($f9(A,B),$f8(A,B))|in(C,$f15(A,B))| -in(D,A)|D!=E| -in(C,E)| -in(ordered_pair(C,$f14(A,B,C,D,E)),B).
% 2.11/2.32 ** KEPT (pick-wt=27): 72 [] empty(A)| -relation(B)| -in(C,$f8(A,B))|in(ordered_pair($f9(A,B),C),B)| -in(D,$f15(A,B))|in($f13(A,B,D),A).
% 2.11/2.32 ** KEPT (pick-wt=30): 73 [] empty(A)| -relation(B)| -in(C,$f8(A,B))|in(ordered_pair($f9(A,B),C),B)| -in(D,$f15(A,B))|$f13(A,B,D)=$f12(A,B,D).
% 2.11/2.32 ** KEPT (pick-wt=27): 74 [] empty(A)| -relation(B)| -in(C,$f8(A,B))|in(ordered_pair($f9(A,B),C),B)| -in(D,$f15(A,B))|in(D,$f12(A,B,D)).
% 2.11/2.32 ** KEPT (pick-wt=32): 75 [] empty(A)| -relation(B)| -in(C,$f8(A,B))|in(ordered_pair($f9(A,B),C),B)| -in(D,$f15(A,B))| -in(E,$f12(A,B,D))|in(ordered_pair(D,E),B).
% 2.11/2.32 ** KEPT (pick-wt=38): 76 [] empty(A)| -relation(B)| -in(C,$f8(A,B))|in(ordered_pair($f9(A,B),C),B)|in(D,$f15(A,B))| -in(E,A)|E!=F| -in(D,F)|in($f14(A,B,D,E,F),F).
% 2.11/2.32 ** KEPT (pick-wt=40): 77 [] empty(A)| -relation(B)| -in(C,$f8(A,B))|in(ordered_pair($f9(A,B),C),B)|in(D,$f15(A,B))| -in(E,A)|E!=F| -in(D,F)| -in(ordered_pair(D,$f14(A,B,D,E,F)),B).
% 2.11/2.32 ** KEPT (pick-wt=22): 79 [copy,78,flip.3] empty(A)| -relation(B)|$f9(A,B)!=$f10(A,B)| -in(C,$f15(A,B))|in($f13(A,B,C),A).
% 2.11/2.32 ** KEPT (pick-wt=25): 81 [copy,80,flip.3] empty(A)| -relation(B)|$f9(A,B)!=$f10(A,B)| -in(C,$f15(A,B))|$f13(A,B,C)=$f12(A,B,C).
% 2.11/2.32 ** KEPT (pick-wt=22): 83 [copy,82,flip.3] empty(A)| -relation(B)|$f9(A,B)!=$f10(A,B)| -in(C,$f15(A,B))|in(C,$f12(A,B,C)).
% 2.11/2.32 ** KEPT (pick-wt=27): 85 [copy,84,flip.3] empty(A)| -relation(B)|$f9(A,B)!=$f10(A,B)| -in(C,$f15(A,B))| -in(D,$f12(A,B,C))|in(ordered_pair(C,D),B).
% 2.11/2.32 ** KEPT (pick-wt=33): 87 [copy,86,flip.3] empty(A)| -relation(B)|$f9(A,B)!=$f10(A,B)|in(C,$f15(A,B))| -in(D,A)|D!=E| -in(C,E)|in($f14(A,B,C,D,E),E).
% 2.11/2.32 ** KEPT (pick-wt=35): 89 [copy,88,flip.3] empty(A)| -relation(B)|$f9(A,B)!=$f10(A,B)|in(C,$f15(A,B))| -in(D,A)|D!=E| -in(C,E)| -in(ordered_pair(C,$f14(A,B,C,D,E)),B).
% 2.11/2.32 ** KEPT (pick-wt=15): 90 [] empty(A)| -relation(B)| -in(C,$f20(A,B,D))|in(C,cartesian_product2(A,D)).
% 2.11/2.32 ** KEPT (pick-wt=23): 91 [] empty(A)| -relation(B)| -in(C,$f20(A,B,D))|ordered_pair($f18(A,B,D,C),$f17(A,B,D,C))=C.
% 2.11/2.32 ** KEPT (pick-wt=17): 92 [] empty(A)| -relation(B)| -in(C,$f20(A,B,D))|in($f18(A,B,D,C),A).
% 2.11/2.32 ** KEPT (pick-wt=21): 93 [] empty(A)| -relation(B)| -in(C,$f20(A,B,D))|$f18(A,B,D,C)=$f16(A,B,D,C).
% 2.11/2.32 ** KEPT (pick-wt=21): 94 [] empty(A)| -relation(B)| -in(C,$f20(A,B,D))|in($f17(A,B,D,C),$f16(A,B,D,C)).
% 2.11/2.32 ** KEPT (pick-wt=26): 95 [] empty(A)| -relation(B)| -in(C,$f20(A,B,D))| -in(E,$f16(A,B,D,C))|in(ordered_pair($f17(A,B,D,C),E),B).
% 2.11/2.32 ** KEPT (pick-wt=39): 96 [] empty(A)| -relation(B)|in(C,$f20(A,B,D))| -in(C,cartesian_product2(A,D))|ordered_pair(E,F)!=C| -in(E,A)|E!=G| -in(F,G)|in($f19(A,B,D,C,E,F,G),G).
% 2.11/2.32 ** KEPT (pick-wt=41): 97 [] empty(A)| -relation(B)|in(C,$f20(A,B,D))| -in(C,cartesian_product2(A,D))|ordered_pair(E,F)!=C| -in(E,A)|E!=G| -in(F,G)| -in(ordered_pair(F,$f19(A,B,D,C,E,F,G)),B).
% 2.11/2.32 ** KEPT (pick-wt=4): 98 [] -empty(A)|relation(A).
% 2.11/2.32 ** KEPT (pick-wt=15): 99 [] -function(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(B,D),A)|C=D.
% 2.11/2.32 ** KEPT (pick-wt=7): 100 [] function(A)|$f22(A)!=$f21(A).
% 2.11/2.32 ** KEPT (pick-wt=14): 102 [copy,101,flip.3] -relation(A)| -in(B,A)|ordered_pair($f25(A,B),$f24(A,B))=B.
% 2.11/2.32 ** KEPT (pick-wt=8): 103 [] relation(A)|$f26(A)!=ordered_pair(B,C).
% 2.11/2.32 ** KEPT (pick-wt=3): 104 [] -empty(singleton(A)).
% 2.11/2.32 ** KEPT (pick-wt=4): 105 [] -empty(unordered_pair(A,B)).
% 2.11/2.32 ** KEPT (pick-wt=8): 106 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.11/2.32 ** KEPT (pick-wt=2): 107 [] -empty($c12).
% 2.11/2.32 ** KEPT (pick-wt=10): 108 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 2.11/2.32 ** KEPT (pick-wt=10): 109 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 2.11/2.32 ** KEPT (pick-wt=13): 110 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 2.11/2.32 ** KEPT (pick-wt=6): 111 [] -in(A,B)|element(A,B).
% 2.11/2.32 ** KEPT (pick-wt=8): 112 [] -element(A,B)|empty(B)|in(A,B).
% 154.40/154.64 ** KEPT (pick-wt=10): 113 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 154.40/154.64 ** KEPT (pick-wt=10): 114 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 154.40/154.64 ** KEPT (pick-wt=5): 115 [] -empty(A)|A=empty_set.
% 154.40/154.64 ** KEPT (pick-wt=5): 116 [] -in(A,B)| -empty(B).
% 154.40/154.64 ** KEPT (pick-wt=7): 117 [] -empty(A)|A=B| -empty(B).
% 154.40/154.64
% 154.40/154.64 ------------> process sos:
% 154.40/154.64 ** KEPT (pick-wt=3): 179 [] A=A.
% 154.40/154.64 ** KEPT (pick-wt=2): 180 [] relation($c1).
% 154.40/154.64 ** KEPT (pick-wt=2): 181 [] relation($c3).
% 154.40/154.64 ** KEPT (pick-wt=2): 182 [] function($c3).
% 154.40/154.64 ** KEPT (pick-wt=2): 183 [] one_to_one($c3).
% 154.40/154.64 ** KEPT (pick-wt=2): 184 [] epsilon_transitive($c4).
% 154.40/154.64 ** KEPT (pick-wt=2): 185 [] epsilon_connected($c4).
% 154.40/154.64 ** KEPT (pick-wt=2): 186 [] ordinal($c4).
% 154.40/154.64 ** KEPT (pick-wt=2): 187 [] relation($c5).
% 154.40/154.64 ** KEPT (pick-wt=2): 188 [] function($c5).
% 154.40/154.64 ** KEPT (pick-wt=2): 189 [] one_to_one($c5).
% 154.40/154.64 ** KEPT (pick-wt=2): 190 [] empty($c5).
% 154.40/154.64 ** KEPT (pick-wt=2): 191 [] epsilon_transitive($c5).
% 154.40/154.64 ** KEPT (pick-wt=2): 192 [] epsilon_connected($c5).
% 154.40/154.64 ** KEPT (pick-wt=2): 193 [] ordinal($c5).
% 154.40/154.64 ** KEPT (pick-wt=2): 194 [] epsilon_transitive($c6).
% 154.40/154.64 ** KEPT (pick-wt=2): 195 [] epsilon_connected($c6).
% 154.40/154.64 ** KEPT (pick-wt=2): 196 [] ordinal($c6).
% 154.40/154.64 ** KEPT (pick-wt=2): 197 [] relation($c7).
% 154.40/154.64 ** KEPT (pick-wt=2): 198 [] function($c7).
% 154.40/154.64 ** KEPT (pick-wt=2): 199 [] relation($c8).
% 154.40/154.64 ** KEPT (pick-wt=2): 200 [] empty($c8).
% 154.40/154.64 ** KEPT (pick-wt=2): 201 [] function($c8).
% 154.40/154.64 ** KEPT (pick-wt=2): 202 [] empty($c9).
% 154.40/154.64 ** KEPT (pick-wt=7): 203 [] unordered_pair(A,B)=unordered_pair(B,A).
% 154.40/154.64 ** KEPT (pick-wt=9): 204 [] function(A)|in(ordered_pair($f23(A),$f22(A)),A).
% 154.40/154.64 ** KEPT (pick-wt=9): 205 [] function(A)|in(ordered_pair($f23(A),$f21(A)),A).
% 154.40/154.64 ** KEPT (pick-wt=6): 206 [] relation(A)|in($f26(A),A).
% 154.40/154.64 ** KEPT (pick-wt=10): 208 [copy,207,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 154.40/154.64 ---> New Demodulator: 209 [new_demod,208] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 154.40/154.64 ** KEPT (pick-wt=4): 210 [] element($f27(A),A).
% 154.40/154.64 ** KEPT (pick-wt=2): 211 [] empty(empty_set).
% 154.40/154.64 ** KEPT (pick-wt=2): 212 [] relation(empty_set).
% 154.40/154.64 ** KEPT (pick-wt=2): 213 [] relation_empty_yielding(empty_set).
% 154.40/154.64 Following clause subsumed by 211 during input processing: 0 [] empty(empty_set).
% 154.40/154.64 Following clause subsumed by 211 during input processing: 0 [] empty(empty_set).
% 154.40/154.64 Following clause subsumed by 212 during input processing: 0 [] relation(empty_set).
% 154.40/154.64 ** KEPT (pick-wt=2): 214 [] empty($c11).
% 154.40/154.64 ** KEPT (pick-wt=2): 215 [] relation($c11).
% 154.40/154.64 ** KEPT (pick-wt=2): 216 [] relation($c12).
% 154.40/154.64 ** KEPT (pick-wt=2): 217 [] relation($c13).
% 154.40/154.64 ** KEPT (pick-wt=2): 218 [] relation_empty_yielding($c13).
% 154.40/154.64 Following clause subsumed by 179 during input processing: 0 [copy,179,flip.1] A=A.
% 154.40/154.64 179 back subsumes 176.
% 154.40/154.64 179 back subsumes 173.
% 154.40/154.64 179 back subsumes 170.
% 154.40/154.64 179 back subsumes 167.
% 154.40/154.64 179 back subsumes 166.
% 154.40/154.64 179 back subsumes 163.
% 154.40/154.64 179 back subsumes 133.
% 154.40/154.64 179 back subsumes 129.
% 154.40/154.64 179 back subsumes 125.
% 154.40/154.64 179 back subsumes 121.
% 154.40/154.64 Following clause subsumed by 203 during input processing: 0 [copy,203,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 154.40/154.64 >>>> Starting back demodulation with 209.
% 154.40/154.64
% 154.40/154.64 ======= end of input processing =======
% 154.40/154.64
% 154.40/154.64 =========== start of search ===========
% 154.40/154.64
% 154.40/154.64
% 154.40/154.64 Resetting weight limit to 9.
% 154.40/154.64
% 154.40/154.64
% 154.40/154.64 Resetting weight limit to 9.
% 154.40/154.64
% 154.40/154.64 sos_size=737
% 154.40/154.64
% 154.40/154.64 Search stopped because sos empty.
% 154.40/154.64
% 154.40/154.64
% 154.40/154.64 Search stopped because sos empty.
% 154.40/154.64
% 154.40/154.64 ============ end of search ============
% 154.40/154.64
% 154.40/154.64 -------------- statistics -------------
% 154.40/154.64 clauses given 981
% 154.40/154.64 clauses generated 793898
% 154.40/154.64 clauses kept 1380
% 154.40/154.64 clauses forward subsumed 3057
% 154.40/154.64 clauses back subsumed 33
% 154.40/154.64 Kbytes malloced 6835
% 154.40/154.64
% 154.40/154.64 ----------- times (seconds) -----------
% 154.40/154.64 user CPU time 152.35 (0 hr, 2 min, 32 sec)
% 154.40/154.64 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 154.40/154.64 wall-clock time 154 (0 hr, 2 min, 34 sec)
% 154.40/154.64
% 154.40/154.64 Process 28545 finished Wed Jul 27 07:45:54 2022
% 154.40/154.64 Otter interrupted
% 154.40/154.64 PROOF NOT FOUND
%------------------------------------------------------------------------------